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+ 73 = -0*m - 7*m + 5*m for m. 4 Solve 0 = -6*x - 27*p + 276, 73*p - 72*p = 4*x - 146 for x. 37 Solve 6*n + 2828 = 5*z + 3287, -2*z - n = 187 for z. -93 Solve 14*b = -b + h - 58, 5*b + 40 = -5*h + 10 for b. -4 Solve 9*d - 537 = 3*l, -d = 5*l - 1560 + 1511 for l. -2 Solve 4*h + 2*t + 0*t - 4*t = -0*t - 38, -43*t = -46*...
{ "pile_set_name": "DM Mathematics" }
+ 63. Suppose -k + 1 = 3. Which is the second smallest value? (a) f (b) k (c) w c Let p = -1.18 + 1.08. Let j = -69.3 + 61. Let n = j + 8. What is the second smallest value in p, n, -1/5? -1/5 Let n = 0 - -0.4. Let u(s) = s**3 - 8*s**2 + 5*s + 10. Let w be u(7). Let z = w + 10/3. Which is the biggest value? (a) z ...
{ "pile_set_name": "DM Mathematics" }
. List the prime factors of i. 3, 37 Let l be (12/(-10))/(3/50). Let q = 85 + l. What are the prime factors of q? 5, 13 Let y(o) = -12*o - 47. Let r(d) = -12*d - 46. Let x(b) = 3*r(b) - 2*y(b). List the prime factors of x(-14). 2, 31 Let r be ((-6)/(-33) + (-120)/176)*22. What are the prime factors of ((-44)/(-8))/r + ...
{ "pile_set_name": "DM Mathematics" }
4? False Is -0.1 equal to 0.234? False Is -1/155 != 14? True Which is smaller: 0.8 or -0.17? -0.17 Is 14 at most as big as 615/49? False Which is bigger: 1031 or 1034? 1034 Which is smaller: 107 or 79? 79 Which is smaller: 73 or 0.2? 0.2 Is -4 != -1/6? True Which is smaller: 0 or -3/295? -3/295 Is 4329 greater than 432...
{ "pile_set_name": "DM Mathematics" }
= -371 - 685 for s. 8 Solve 1149*b - 10 = 1139*b for b. 1 Solve -8*o - 11 = 5 for o. -2 Solve -5*d + 0*d - 3*d = 0 for d. 0 Solve -34*f + 17*f = -17 for f. 1 Solve 5*p = 11 - 21 for p. -2 Solve -7 = -3*q + 8 for q. 5 Solve -109*z = -129*z - 60 for z. -3 Solve -5 + 1 = -2*t for t. 2 Solve 0 = -27*o + 34*o for o. 0 Solve...
{ "pile_set_name": "DM Mathematics" }
7 divide v? False Let u be (-22)/(-187) - (-925)/85. Does 27 divide (u/(-33))/(3/9)*-262? False Let a = -4883 + 6676. Is 45 a factor of a? False Let b be (-2)/((-4)/12*3). Suppose r + r - b = 0. Is 3 a factor of 2/(r - (-5)/(-15))? True Let a(u) = 4*u + 22. Let o be a(0). Is 9 a factor of 2*5/20*o*15? False Let i = -97...
{ "pile_set_name": "DM Mathematics" }
alculate the remainder when 158 is divided by z(0). 52 Let q = 274 + 411. Suppose -2*w - 5*x = -q, 5*w - 1047 = 2*w - x. What is the remainder when w is divided by 27? 26 Let w(m) = 9562*m - 4821. Calculate the remainder when w(3) is divided by 204. 201 Let c = 199 + -194. Suppose -4*o = 5*s - 231 - 108, -5*s + c*o + 3...
{ "pile_set_name": "DM Mathematics" }
rob of picking 1 x and 2 g? 7/380 Calculate prob of picking 1 l and 3 u when four letters picked without replacement from uuuuuluu. 1/2 Two letters picked without replacement from {q: 7}. What is prob of picking 2 q? 1 Three letters picked without replacement from wywyiwt. What is prob of picking 2 w and 1 y? 6/35 Calc...
{ "pile_set_name": "DM Mathematics" }
+ -306. What is the closest to 0.1 in 5, w, 0.2? 0.2 Let x = 0.568 + 0.242. Let r = x + -1.11. What is the closest to -2 in 13, r, -4? r Let s = 86 + -85.652. Let n = -0.1172 + 0.0692. Let g = n + s. What is the nearest to 1 in -2, -0.3, g? g Let m = -11.7 - -14.7. Let g = 24.9 - 24.6. Let j be (-6)/9 + (1 - 0). Which ...
{ "pile_set_name": "DM Mathematics" }
-i - 7 = -8*i. Calculate i*v(q) + 3*h(q). q**3 Let k(p) = -20*p**3 + 17*p**2 + 23*p + 14. Let q(w) = w**3 - 18*w**2 - 17. Let j be q(18). Let v(n) = -7*n**3 + 6*n**2 + 8*n + 5. Give j*v(b) + 6*k(b). -b**3 + 2*b - 1 Suppose -4*q = 20, -q + 5 = 4*u - 6. Let v(a) = -a**2 - 4*a - 4. Let i(c) = -3*c - 3. Calculate u*i(r) -...
{ "pile_set_name": "DM Mathematics" }
-4 Suppose 2*c = -2*s + 38, s = -4*c + 2*c + 23. Let w = 37 - s. Solve 5*g + 3 + w = 0 for g. -5 Let n(a) = a**2 + 12*a + 4. Let j be n(-12). Suppose 0 = 2*l - j*l + 4. Solve 0*b = l*b for b. 0 Suppose -5*w = -3*w. Suppose i - 6 = -4*q, 3*q - i = 8 - w. Suppose -5*x + 15 = 2*o, 5*o + 4 = 4*x - 8. Solve k - q = -o for ...
{ "pile_set_name": "DM Mathematics" }
, 736, 735? -o + 738 What is the u'th term of -39, -128, -217, -306? -89*u + 50 What is the q'th term of -1046, -2094, -3142, -4190, -5238? -1048*q + 2 What is the b'th term of -1664, -1687, -1724, -1781, -1864, -1979, -2132, -2329? -b**3 - b**2 - 13*b - 1649 What is the h'th term of 82, 165, 226, 253, 234, 157? -2*h**...
{ "pile_set_name": "DM Mathematics" }
**2 - sqrt(242)))*6 + 0. 99*sqrt(2) + 4616 Simplify (-4 + (3 + 2*sqrt(1584) + 3 + (2*sqrt(1584) - sqrt(1584)))*1*-1)**2. 720*sqrt(11) + 14356 Simplify 4 + (((5*sqrt(190)*-1 + sqrt(190) + -4*(-1*sqrt(190) + sqrt(190)))*4)/(((sqrt(30)*-4)/sqrt(3) - sqrt(10)) + sqrt(30)/(sqrt(3)*4)))**2. 4172/19 Simplify 6*(sqrt(2156) + 4...
{ "pile_set_name": "DM Mathematics" }
e h = 4*l + 4*y - 146, 239 = 3*l - y. Is l a prime number? True Let a(c) = 7*c**3 - 16*c**2 - 9*c + 115. Is a(11) composite? True Let j(b) = b**3 - b**2 + 3*b + 1. Let o(y) = -y**2. Let a(l) = j(l) + 2*o(l). Let v be a(5). Suppose -v = -n - n. Is n a composite number? True Suppose -5*d + t + 590312 = 0, -4*t - 115288 =...
{ "pile_set_name": "DM Mathematics" }
prime factors of 10134051. 3, 83, 40699 List the prime factors of 83591. 83591 What are the prime factors of 316257? 3, 271, 389 List the prime factors of 22742847. 3, 2526983 List the prime factors of 2688592. 2, 168037 List the prime factors of 373993. 103, 3631 What are the prime factors of 517753? 23, 22511 What a...
{ "pile_set_name": "DM Mathematics" }
Let c(l) = -l**2 + l - 1. Determine s*j(h) - 28*c(h). -4*h**2 Let n(a) = 7*a - 7. Let o(s) = s. Let r(g) = -n(g) + 3*o(g). Let d(w) = 6*w - 4*w - 3 - 3*w + 4. Calculate 5*d(x) - r(x). -x - 2 Suppose 5 = 3*i - 1. Suppose 0*v + 12 = i*v. Let o(r) = 7*r**2 + 6*r + 5. Let b(n) = -6*n**2 - 5*n - 4. What is v*b(j) + 5*o(j)? ...
{ "pile_set_name": "DM Mathematics" }
'th term of -13684, -27371, -41060, -54745, -68420? c**3 - 7*c**2 - 13673*c - 5 What is the t'th term of -3719, -7724, -12017, -16598, -21467, -26624? -144*t**2 - 3573*t - 2 What is the q'th term of -23552488, -47104976, -70657466, -94209958, -117762452? -q**2 - 23552485*q - 2 What is the k'th term of -154841512, -1548...
{ "pile_set_name": "DM Mathematics" }
7) a multiple of 25? True Suppose -2*s - 5*i - 5 = 0, 6*s - i - 28 = s. Suppose -3*n - s*y + 167 = -n, 0 = 3*n - y - 225. Is n a multiple of 19? True Is 16 + -18 + -1 + -1 + 2620 a multiple of 18? False Let q(z) = z**2 + 1. Let d be q(-2). Suppose 5*f + l - 1050 = d*l, 0 = -5*f + l + 1035. Is f a multiple of 10? False ...
{ "pile_set_name": "DM Mathematics" }
3). Is r not equal to 4/9? True Suppose -7*p = -11*p + 36. Which is smaller: p or 0? 0 Let y = 15 + -9. Let a(f) = f**3 - 7*f**2 + 6*f. Let s(p) = p**3 - 7*p**2 + 6*p - 1. Let o(h) = -4*a(h) + 3*s(h). Let b be o(y). Which is bigger: b or -0.1? -0.1 Let d = 121 - 131. Let g = -15/7 + 52/21. Which is smaller: d or g? d ...
{ "pile_set_name": "DM Mathematics" }
10, k, -2 Suppose -24*r + 274 = -25*r. Let h = -266 - r. Put 3, h, 1 in ascending order. 1, 3, h Let a be 4*(-2 + 110/54). Let o = 35/54 - a. Let w(i) = -1753*i - 7005. Let d be w(-4). Sort d, -1, o, -0.1 in decreasing order. d, o, -0.1, -1 Let g(h) = -4*h**3 + 55*h**2 + 11*h + 46. Let r be g(14). Sort 16, r, 135, 5 in...
{ "pile_set_name": "DM Mathematics" }
1, g: 1, n: 1, z: 1}. 1/10 Four letters picked without replacement from {x: 1, g: 1, w: 1, t: 2, a: 5, c: 3}. What is prob of picking 4 a? 1/143 What is prob of picking 1 s and 2 h when three letters picked without replacement from {n: 1, p: 1, u: 4, s: 7, h: 4, k: 3}? 7/190 Calculate prob of picking 1 e, 1 u, and 2 f...
{ "pile_set_name": "DM Mathematics" }
is the tens digit of a? 3 Suppose a = -a + 480. Suppose 2*x - 41 = 9. Suppose -4*y + 310 = 2*h, 5*h + a + x = 3*y. What is the tens digit of y? 8 What is the tens digit of (17/5)/((-6)/(-30180))? 0 Let h(v) = -v**3 + v**2 + 2*v + 486. Let p be h(0). Suppose 3*u - 21 - p = 0. What is the units digit of u? 9 Let a(i) = -...
{ "pile_set_name": "DM Mathematics" }
9). What is the third biggest value in j, 3, -3/4? -3/4 Let w = 6280 + -6280.3. Which is the fifth smallest value? (a) 1 (b) 3/8 (c) w (d) 2 (e) 7/2 e Let x = 0.5 + 8. Let l = x + -5.5. Which is the second smallest value? (a) l (b) -4 (c) -3 (d) -3/4 c Let m = 20751 - 20751. What is the second smallest value i...
{ "pile_set_name": "DM Mathematics" }
c - w - 16. Suppose 4*k - 15 = 3*q, -4*q - c = k - 3*k. Solve k*j - 7 = 2 for j. 3 Suppose y - 6*y = 0. Suppose -3*a + 164 = 4*b, y*b - 232 = -4*a - 2*b. Let h = a - 56. Solve -h*q - 2 - 6 = 0 for q. -2 Let w = -37 + 42. Suppose 0*l - l + 11 = 3*g, -21 = -2*l - w*g. Let x be 15/((-12)/l + 3). Solve b - x = -b for b. 5...
{ "pile_set_name": "DM Mathematics" }
= -1 + 1 + 8*u - 11*u. Calculate the remainder when 16 is divided by g(-3). 7 Let k(q) = -4*q - 2 + 5*q**2 + 4 - q**3 + 3. Let t be k(4). Suppose 5*l - 38 = -t*y - 3, -y + 1 = -2*l. Calculate the remainder when 8 is divided by y. 3 Let z(a) = 9*a + 5. Let p = 421 - 407. Calculate the remainder when z(4) is divided by ...
{ "pile_set_name": "DM Mathematics" }
- 15. 2*m - 30 Collect the terms in 34*a - 62*a - 76*a. -104*a Collect the terms in 11*h - 25*h + 13*h + 11*h. 10*h Collect the terms in 267*p - 803*p + 2*p**3 + 267*p + 269*p. 2*p**3 Collect the terms in -29*i - 20*i - 25*i + 122*i - 33*i. 15*i Collect the terms in -3*m**3 + 910*m**2 - 910*m**2. -3*m**3 Collect the te...
{ "pile_set_name": "DM Mathematics" }
= 0, -k = -5*h - k - 3*k + 9 for h. 3 Solve 502*m - 3 = 498*m + 5, -5*o + 3*m = 2*m - 4*m for o. 2 Solve 0 = 4*j + 22*o - 20*o + 4, 195*j - 4*o + 804 = 0 for j. -4 Solve -4*o - q = -24 + 14, -3*o - 5*o - 113 = -4*o - 3*o - 5*q for o. -3 Solve -5*u + 2*j - 49 = 0, -70 = 5*u - 24395*j + 24400*j for u. -11 Solve -3*k = -2...
{ "pile_set_name": "DM Mathematics" }
- 60. What is the units digit of 9/u + 8/5? 1 Suppose 0 = -3*z - 5*z + 112. Let k(a) = -6*a + 30. Let b be k(z). Let w = b - -113. What is the units digit of w? 9 Suppose 13*r + 32 = 17*r. What is the units digit of (-2)/(16/(-2650)) + (-10)/r? 0 Let n(l) = -l**3 + 7*l**2 + 25*l - 55. Let j be n(9). Suppose -3287 - 346...
{ "pile_set_name": "DM Mathematics" }
ed by 3413? 338 What is the remainder when 281055 is divided by 8? 7 Calculate the remainder when 42702 is divided by 21296. 110 Calculate the remainder when 16903 is divided by 1515. 238 What is the remainder when 36838 is divided by 23? 15 What is the remainder when 685173 is divided by 763? 762 What is the remainder...
{ "pile_set_name": "DM Mathematics" }
4*o - 3 - 1 = f. Let j = n + 41. Solve 4 = -2*c + j*c for c. 2 Let a(s) = -3*s - 124. Let q be a(-42). Solve q*j - 6 = -16 for j. -5 Suppose -9*y + 8*y + 5 = 0. Suppose u = -2*t - 1, -y*u + 1 + 1 = 3*t. Solve 4 - u = -3*h for h. -1 Suppose 0 = -14*u + 13*u - 2, 0 = 3*a + 4*u - 13. Solve 0 = 4*z - a - 9 for z. 4 Suppos...
{ "pile_set_name": "DM Mathematics" }
1/55 Calculate prob of sequence fx when two letters picked without replacement from {f: 4, d: 8, p: 2, x: 2}. 1/30 Two letters picked without replacement from jjnjjppnpnpnppn. Give prob of sequence np. 1/7 Calculate prob of sequence wqw when three letters picked without replacement from {w: 2, q: 2}. 1/6 What is prob o...
{ "pile_set_name": "DM Mathematics" }
= -y - 27, -144 = 4*y - 96 for r. -3 Solve 750*q - 754*q - 2 = -3*w, -2*q = -2 for w. 2 Solve 0 = -3*n + 5*d - 14, -22*n + 24*n + d + 5 = 0 for n. -3 Solve 9*k = -4*o - 41, 736*o - k = 733*o - 23 for o. -8 Solve -g + 18 = -2122*h + 2123*h, -g = -5*h + 6 for g. 14 Solve -275*s + 3 - 11 = -273*s, -p + s = -5 for p. 1 Sol...
{ "pile_set_name": "DM Mathematics" }
k Let f(x) = x**2 - 5*x - 16. Let u be f(8). Let w(l) = -l**2 + 8*l + 3. Let i be w(u). Suppose z = -i*z - 4. Is z less than 1/7? True Let s = -0.002 - -0.662. Let w = s + 0.04. Are -2 and w nonequal? True Let b be -156 + 3 + -3 + 3. Which is smaller: b or -145? b Let h be (-5 - (-64)/12)*(-72)/(-1324). Are 1 and h eq...
{ "pile_set_name": "DM Mathematics" }
k)*(-7 + 11 - 23)*(3*k - k - 3*k)*(2 - 2 - 2) to the form y*k**3 + f*k**4 + i + z*k + n*k**2 and give f. 76 Express -23 + w**2 + 341 - 27 - 120 as g*w**2 + v + c*w and give v. 171 Express -6*j - 3*j + 7*j + (-8 + 2 - 9)*(-1 - 2*j + 1) as c*j + k and give c. 28 Rearrange (5 - 5 - 4*r - 3 - 2*r + 3 + (0*r + r + r)*(1 - 1...
{ "pile_set_name": "DM Mathematics" }
t value? (a) 4 (b) 0 (c) -16143 (d) -1.3 d What is the biggest value in -167, -3, -24.8? -3 What is the third smallest value in -3, 1883313, -5? 1883313 What is the third biggest value in 94, -3, 0.49, 3, 2/9? 0.49 What is the second smallest value in 4306.2, 3/2, -3/2? 3/2 Which is the smallest value? (a) -0.1854...
{ "pile_set_name": "DM Mathematics" }
. 4 Suppose 2*n + 100 = 7*n. Let q(z) = -z**3 - 7*z**2 + 7*z - 8. Let y be q(-8). Suppose y = -7*h + 2*h + n. What is the smallest common multiple of h and 16? 16 Let g = 27 - 19. Suppose 0 + 36 = 3*o. What is the least common multiple of g and o? 24 Suppose -2*d = 3 - 15. Calculate the lowest common multiple of 10 and...
{ "pile_set_name": "DM Mathematics" }
-5 Express (-3 + 6 + 0)*(-4*n + 3*n + 2*n) + 3*n + 5 - 1 - 5*n in the form u + p*n and give u. 4 Rearrange -2 - 4*u**2 + u - 2*u**3 + 6*u**2 - 2*u**2 to z*u**3 + t*u + g + b*u**2 and give z. -2 Rearrange (2 - 2 - 2*x**3)*(1 - 7 + 5) to y*x + l*x**2 + t + h*x**3 and give h. 2 Express -10*k - 366 + 366 as b*k + d and giv...
{ "pile_set_name": "DM Mathematics" }
te (5 - -8) + (-19 - 4). -10 Evaluate (-16 - -4) + (-165 - -179 - (0 - -8)). -6 What is the value of -7 + (-5 - (6 - 13)) + 7 + -10? -8 What is the value of 32 + 2 + -9 + -9 + 0? 16 What is 3 - 3 - 0 - (3 - -1 - 7)? 3 What is (-2 - -7 - 0) + -5 - -2? 2 Calculate 0 - -12 - ((-27 - 17) + 43). 13 Evaluate 256 + -263 + 7 +...
{ "pile_set_name": "DM Mathematics" }
1981, -11753, -11519, -11273, -11009? c**3 - 3*c**2 + 230*c - 12209 What is the f'th term of -644247, -644235, -644223? 12*f - 644259 What is the p'th term of -2856, -11177, -25034, -44427, -69356? -2768*p**2 - 17*p - 71 What is the v'th term of 1300, 4928, 10938, 19330, 30104, 43260? 1191*v**2 + 55*v + 54 What is the ...
{ "pile_set_name": "DM Mathematics" }
What is the ten thousands digit of 14776? 1 What is the hundreds digit of 1060? 0 What is the units digit of 4012? 2 What is the units digit of 1375? 5 What is the hundreds digit of 883? 8 What is the hundreds digit of 555? 5 What is the tens digit of 2292? 9 What is the units digit of 7891? 1 What is the hundreds digi...
{ "pile_set_name": "DM Mathematics" }
(h) = -3*h**2 + 4*h + 35. Let d(c) = -7*g(c) + 4*o(c). List the prime factors of d(a). 3, 13 Let j = -13120 - -19407. List the prime factors of j. 6287 Let m(t) = 6*t**3 - 4*t**2 - 4*t - 115. Let j(o) = -7*o**3 + 5*o**2 + 5*o + 115. Let x(s) = -5*j(s) - 6*m(s). List the prime factors of x(0). 5, 23 Suppose 18*m - 37*m ...
{ "pile_set_name": "DM Mathematics" }
+ 626985 + 417654 = 0. Do d and -7009 have the same value? False Suppose s = 2*c + 80, 4*s - c - 307 - 6 = 0. Let v = s - 1797/23. Suppose 5*o - 5*l + 40 = 0, 5*l + 64 = 99. Which is bigger: o or v? v Suppose 4*r - 3*r = -6265. Let q be 1000/r - (-3)/(21 + 0). Let o = q + 1632/1253. Which is greater: o or 1? o Let k =...
{ "pile_set_name": "DM Mathematics" }
33, 70310, 70387, 70464, 70541? 77*n + 70156 What is the n'th term of 244, 2579, 9104, 21913, 43100, 74759, 118984, 177869? 349*n**3 + n**2 - 111*n + 5 What is the z'th term of -64400, -64402, -64404, -64406, -64408? -2*z - 64398 What is the c'th term of -382, -791, -1228, -1705, -2234, -2827, -3496, -4253? -2*c**3 - 2...
{ "pile_set_name": "DM Mathematics" }
e -2*u - 91 = -5*u + l, -4*l - 124 = -w*u. What are the prime factors of u? 2, 3, 5 Let l = 404 + 353. What are the prime factors of l? 757 Suppose -138 = v - 3*v. Let x = v + 29. What are the prime factors of x? 2, 7 Suppose 2*m - 4*z + 28 = -0, 3*z = 15. What are the prime factors of 2/m*-3*3222/27? 179 Let o(t) = -2...
{ "pile_set_name": "DM Mathematics" }
alculate the greatest common factor of 76 and 133. 19 Calculate the highest common factor of 1 and 233. 1 Calculate the greatest common divisor of 46 and 2806. 46 Calculate the highest common divisor of 116 and 22562. 58 Calculate the highest common factor of 1 and 2048. 1 What is the greatest common divisor of 96 and ...
{ "pile_set_name": "DM Mathematics" }
30 for n. 3 Solve -4*w + w + 23 = -s - 8*w, 11*w + 11 = 3*s + 7*w + 3*w for s. 2 Solve -4*m - 399*l = 383, -182*m = -179*m + 2*l - 10 for m. 4 Solve 49*y = 2385*b - 2383*b - 823, 105 = -4*b - 5*y for b. -5 Solve -5*x - 106 = -3*t, 5*x - 7*x - 2*t + 59 + 24 = 7*x for x. 1 Solve 48 = 3*i - 3*a, -1812664*a = 3*i - 1812661...
{ "pile_set_name": "DM Mathematics" }
7, q, 0.5, 0.4 in ascending order. 0.4, 0.5, 6/7, q Suppose 0 = -5*g - 98 - 357. Let s = g - -77. Let n be s*(-2)/(-4)*(-2)/7. Put n, -4, -6 in descending order. n, -4, -6 Suppose 0 = 2*g + 74*h - 69*h + 7, 2*g + 6 = -4*h. Sort g, -216, 1/2, 2 in descending order. 2, 1/2, g, -216 Let o(j) = 2*j**3 + 3*j**2 + 2*j. Let k...
{ "pile_set_name": "DM Mathematics" }
j = h + 42, 8*h = 4*j + f*h - 163. What is the units digit of j? 7 Let n = -61 + 65. Suppose 10 = 4*k - 2*k, -k - 279 = -n*g. What is the tens digit of g? 7 Suppose 5*s = 4*h + 1589 - 483, -h - 440 = -2*s. Let g = s + -143. What is the tens digit of g? 7 Let a be (-20 + 118)/((-1)/1). Let h = a - -173. What is the ten...
{ "pile_set_name": "DM Mathematics" }
2105? 5, 421 List the prime factors of 4568. 2, 571 List the prime factors of 1156. 2, 17 What are the prime factors of 13870? 2, 5, 19, 73 List the prime factors of 16976. 2, 1061 List the prime factors of 115617. 3, 17, 2267 List the prime factors of 5469. 3, 1823 List the prime factors of 1018. 2, 509 List the prim...
{ "pile_set_name": "DM Mathematics" }
acement from mommooommo. Give prob of sequence ommm. 5/84 Calculate prob of sequence old when three letters picked without replacement from jdtoljdltdttdd. 5/1092 Three letters picked without replacement from {x: 7, p: 2, w: 3, t: 5}. Give prob of sequence xxw. 21/680 What is prob of sequence ai when two letters picked...
{ "pile_set_name": "DM Mathematics" }
79, l - 2*d - x = 258. What is the highest common divisor of l and 36? 36 Let u(z) = 4*z**2 - 46*z - 578. Let l be u(-8). Calculate the greatest common divisor of l and 134. 2 Suppose 12*u = -397 - 23. Let l(h) = -3*h**2 - 103*h + 74. Let g be l(u). Let s(z) = -2*z + 2. Let b be s(-4). Calculate the greatest common fac...
{ "pile_set_name": "DM Mathematics" }
)*(b + 9366) Factor -4*d**2 + 1788*d + 3444472. -4*(d - 1178)*(d + 731) Suppose -n**3/2 + 12621*n**2/2 + 582729*n/2 - 595349/2 = 0. What is n? -47, 1, 12667 Determine b, given that -b**2 - 9187081*b = 0. -9187081, 0 What is d in d**3 + 3995668*d**2/5 - 1598271*d/5 - 2397402/5 = 0? -799134, -3/5, 1 Factor 15*n**2 + 2614...
{ "pile_set_name": "DM Mathematics" }
-132, -95, -24, 93? 2*t**3 - t**2 + 4*t - 152 What is the g'th term of -11, -53, -129, -245, -407, -621, -893? -g**3 - 11*g**2 - 2*g + 3 What is the h'th term of 11, 44, 97, 170, 263? 10*h**2 + 3*h - 2 What is the j'th term of -20, -46, -80, -122, -172? -4*j**2 - 14*j - 2 What is the l'th term of -27, -6, 35, 102, 201?...
{ "pile_set_name": "DM Mathematics" }
remainder when 25 is divided by o? 12 Let m(g) = -3. Let x(b) = b + 7. Let l(p) = 7*m(p) + 3*x(p). Let w be l(-1). Calculate the remainder when 25 is divided by (-38)/w + 3/9. 12 Suppose 0 = -0*p + 2*p - 6. Let l be ((-2)/p)/(3/54). Calculate the remainder when (-2)/(-3) - 88/l is divided by 3. 2 Let f = -11 + 13. Supp...
{ "pile_set_name": "DM Mathematics" }
sequence uom? 7/612 Four letters picked without replacement from idri. Give prob of sequence iird. 1/12 Four letters picked without replacement from {z: 2, h: 1, v: 5, w: 1}. What is prob of sequence hzwz? 1/1512 Four letters picked without replacement from {e: 2, c: 6}. Give prob of sequence eecc. 1/28 Calculate prob...
{ "pile_set_name": "DM Mathematics" }
1 a factor of (47 - 53) + j + 892? False Let k = -219 + 212. Is (-6 - -6)/k + 50 even? True Let c = -20719 - -23129. Is 5 a factor of c? True Suppose 43 = z - 2. Suppose -4*n - w + 404 = 0, -n - z = 2*w - 139. Suppose c - 2*c = -n. Is c a multiple of 16? False Suppose -7*p + 12*p = -2630. Let g = 814 + p. Does 48 divid...
{ "pile_set_name": "DM Mathematics" }
for r. -2 Let r be (-2)/(-4) + 15/10. Let l be (4 - (-9)/(-3))*r. Solve -z + 0*z - l = 0 for z. -2 Let o(h) be the first derivative of 3*h**2/2 - 12*h - 8. Let p be o(5). Let y(x) = 2*x**2 + 3*x + 3. Let n be y(-3). Solve -6*r + p*r - n = 0 for r. -4 Let d = 34 - 30. Solve 6 + 14 = -d*o for o. -5 Let k = -1 + 3. Solve ...
{ "pile_set_name": "DM Mathematics" }
ve -1 - r = -m for m. 3 Let h = 14 - 12. Suppose 4*y + 4*f = 16, -2*y - 3*f = -3 - 6. Solve y = b + h*b for b. 1 Suppose -7 - 5 = -4*d. Solve -2*y + d = -1 for y. 2 Suppose 3*z - z - 14 = 0. Let u(f) = -f**2 + 6*f - 2*f**2 + 2*f**2 + 10. Let r be u(z). Solve -2*x - 20 = r*x for x. -4 Let k(g) = -4*g - 16. Let c be k(-4...
{ "pile_set_name": "DM Mathematics" }
e -2 divided by -518. 1/259 Divide -260 by -260. 1 2 divided by 333 2/333 What is 780 divided by -20? -39 218 divided by 109 2 Divide 48 by -35. -48/35 What is -2 divided by -14? 1/7 Calculate -2107 divided by 6. -2107/6 What is 169 divided by 4? 169/4 Divide 16492 by 19. 868 What is -485 divided by 8? -485/8 What is -...
{ "pile_set_name": "DM Mathematics" }
o (b) -1/5 (c) 0.4 b Let v = 31 - 405/13. Suppose -2*t - 2*o = -6*t, 2*o = -2*t - 6. Which is the closest to -2/3? (a) v (b) t (c) 2/9 b Let w = 75/4 - 18. What is the closest to 1 in w, -0.2, -2? w Let o = 3 - 4. Let h = -0.6 + -3.4. Which is the closest to o? (a) h (b) 1 (c) 0 c Let u = -1.5 + 1.1. Which is ...
{ "pile_set_name": "DM Mathematics" }
Three letters picked without replacement from eeezeeezeeze. Give prob of picking 1 z and 2 e. 27/55 Two letters picked without replacement from {z: 1, r: 1, y: 2, x: 1}. What is prob of picking 1 r and 1 y? 1/5 Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {e: 2, y: 2, a: 1, b: ...
{ "pile_set_name": "DM Mathematics" }
= -12 + 15. Suppose 5*g = -4*v + d, 3*g - 6*g = -2*v + 7. Solve 4*x - v = y - 0*y, -5*y + 5*x = -5 for y. 2 Let j be ((-1)/2)/(1/(-6)). Let u = j + -1. Let p be (1460/(-300) + 5)*(1 - 6)*-9. Solve -5 = u*k + b, 4*b + p = -3*k - 4 for k. -2 Suppose -w + 27 = 3*n + 12, -4*n - 4*w + 12 = 0. Solve b - 2 = 0, -z + n = -4*b...
{ "pile_set_name": "DM Mathematics" }
tors of 65 + (-3 - b)*v? 2, 17 Let r = -6 + 12. Let j = -3 - r. List the prime factors of ((-4)/3)/1*j. 2, 3 Let i(k) = -k**3 - 6*k**2 + k + 9. Suppose -6*l = -6 + 42. What are the prime factors of i(l)? 3 Suppose 0*j - 5*j + 6795 = -4*x, 2*x - 1373 = -j. List the prime factors of j. 29, 47 Let f = 154 + -88. Let u be ...
{ "pile_set_name": "DM Mathematics" }
5*n + 4. Let r be a(5). What is the highest common factor of 44 and r? 4 Suppose 2*a + 440 = 6*a. Let p = -15 - -25. What is the greatest common factor of a and p? 10 Suppose 0 = 3*f + 11 - 2. Let s be 14/(-1)*9/(-6). Let k = s + f. Calculate the highest common factor of k and 27. 9 Let g(x) = -3*x - 2. Let n be g(-3)....
{ "pile_set_name": "DM Mathematics" }
20). 0 Let c(j) = j**2 - 6*j + 11. Give c(6). 11 Let n(w) = 24*w + 91. Determine n(-3). 19 Let l(n) = 9*n**2 - 1. What is l(1)? 8 Let s(j) = -j**2 - 7*j - 8. Calculate s(-7). -8 Let g(p) = -p**3 + 4*p**2 + 13*p - 21. What is g(6)? -15 Let b(f) = 9*f + 1. Determine b(1). 10 Let h(z) = -2*z**3 - 12*z**2 - 13*z - 7. Calcu...
{ "pile_set_name": "DM Mathematics" }
l? False Which is smaller: -991/58 or -17? -991/58 Which is greater: -2/264491 or 1? 1 Which is bigger: -6.4 or -20387? -6.4 Is 2/11 >= -312/67? True Which is greater: -223329 or 1? 1 Are 26319 and 26320 nonequal? True Which is bigger: -1/7 or -609034? -1/7 Which is smaller: -10865 or -11? -10865 Which is smaller: -556...
{ "pile_set_name": "DM Mathematics" }
*r**2 - 9. Calculate the remainder when a(5) is divided by 19. 15 Suppose 4 = 5*j - p, -2*j + 4 = j - p. Suppose j = -y + o + 51, -3*y + 2*y + 63 = 2*o. What is the remainder when y is divided by 19? 17 Suppose -z - w + 3*w + 8 = 0, -5*z + 5*w = -15. Let p be (-5)/2*(z + 0). Suppose p*t - 38 = 3*t. Calculate the remain...
{ "pile_set_name": "DM Mathematics" }
6). Let t = x - -149. What is the tens digit of t? 5 Let i(d) = 14*d - 10*d + 222 - 25*d**3 + 26*d**3. What is the units digit of i(0)? 2 Suppose 5*f = 175 + 365. Suppose f = 6*y - 2*y. Suppose 0 = j - y - 13. What is the tens digit of j? 4 Suppose -77434 - 5922 = -14*k. What is the tens digit of k? 5 Suppose 3*u - 659...
{ "pile_set_name": "DM Mathematics" }
5, l + 4*a = 3602. Does 199 divide l? True Let u(n) = -7*n + 7. Let k(w) = -15*w + 13. Let h(t) = -4*k(t) + 9*u(t). Let q be h(6). Is 22 a factor of (21/9)/q*-66? True Suppose -14*h + 26212 = -10*h. Is h a multiple of 110? False Let y(z) = 7*z**2 - 100*z - 559. Is y(-7) a multiple of 95? False Suppose -19*x = 68*x + 51...
{ "pile_set_name": "DM Mathematics" }
of picking 2 i and 1 v? 6/55 What is prob of picking 1 b and 2 q when three letters picked without replacement from bbqqbqbbbbqbqbbqqqbq? 33/95 Calculate prob of picking 1 k and 1 j when two letters picked without replacement from jmjtjhjk. 1/7 Calculate prob of picking 1 m and 2 h when three letters picked without rep...
{ "pile_set_name": "DM Mathematics" }
18 + 818*p**3 + 825*p**3 - 1642*p**3 as f*p + q + o*p**2 + t*p**3 and give q. -18 Rearrange 5*n + 3 - 3 + 2 - 2 - 2*n + 2*n - n + n + (-2 + 0 + 0)*(-2 + 2 - n) - n + 1 - 1 - 40*n + 2 + 11*n - 19*n to the form d*n + l and give d. -42 Rearrange (0 + 0 - 2)*(7*t + 6*t**2 - t**2 - 9*t) to g*t**2 + b*t + r and give b. 4 Re...
{ "pile_set_name": "DM Mathematics" }
l**2 Collect the terms in 66 - 3*c - 582 + 53. -3*c - 463 Collect the terms in -210212*o**3 + 420438*o**3 - 210217*o**3. 9*o**3 Collect the terms in 168 - 53 - 115 - 65*s. -65*s Collect the terms in -219*a**3 - 825*a**2 + 2481*a**2 - 827*a**2 - 829*a**2. -219*a**3 Collect the terms in -3 - 262*u + 1 - 310*u + 99*u. -47...
{ "pile_set_name": "DM Mathematics" }
w - 0*o + 85. What is the units digit of w? 5 Let b(g) = -3*g - 2. Let l be b(-4). Let s = -4 + l. Let p(y) = -y**2 + 7*y + 8. What is the tens digit of p(s)? 1 Let i(t) be the second derivative of 4*t**3/3 - t**2/2 - 3*t. Let a be i(-5). Let k = a - -58. What is the units digit of k? 7 Let m = 46 - 105. Let c = m - -8...
{ "pile_set_name": "DM Mathematics" }
thout replacement from yzlllvykzlzvkyvk. Give prob of sequence kvv. 3/560 What is prob of sequence rd when two letters picked without replacement from pphdpprpphr? 1/55 What is prob of sequence px when two letters picked without replacement from wccxwwwcpcxww? 1/78 What is prob of sequence gbr when three letters picked...
{ "pile_set_name": "DM Mathematics" }
ate v. -2065 Find f such that -4*f**3 - 52*f**2 - 192*f - 144 = 0. -6, -1 Suppose -3*n**5/11 - 7*n**4/11 + 31*n**3/11 + 47*n**2/11 - 96*n/11 - 36/11 = 0. What is n? -3, -1/3, 2 Suppose 4*b**2 - 4*b - 24 = 0. Calculate b. -2, 3 Let -12*m**5 - 9*m**4 + 51*m**3 + 36*m**2 - 12*m = 0. What is m? -2, -1, 0, 1/4, 2 Factor 5*q...
{ "pile_set_name": "DM Mathematics" }
(c) 0.3 c Which is the closest to 19/7? (a) -0.2 (b) -3 (c) -17 a What is the closest to -2 in -2/21, 4, 247, 2? -2/21 What is the closest to 2 in 0.56, -0.03, 2/7? 0.56 What is the closest to 0.06 in 1/5, -3, 1.3? 1/5 Which is the closest to -1/5? (a) -1 (b) -0.5 (c) 6/13 (d) 0.028 d Which is the nearest to 4? ...
{ "pile_set_name": "DM Mathematics" }
-452 + 694. Is z a multiple of 11? True Suppose -2117 = -12*i - 665. Does 29 divide i? False Let l(q) = 17*q + 7. Let t(j) = 2*j - 8. Let r(s) = s - 1. Let d(x) = 12*r(x) - 2*t(x). Let n(i) = -7*d(i) + 3*l(i). Is n(-5) a multiple of 10? False Let t(b) = -74*b - 1040. Is 7 a factor of t(-15)? True Does 20 divide ((-28)...
{ "pile_set_name": "DM Mathematics" }
n - 1. Let a be d(v). What are the prime factors of 19 - (a + (-3)/(-3))? 3, 7 Let c(w) = -4*w**2 - 3*w + 12. Let h(z) = -9*z**2 - 5*z + 25. Let x(d) = 7*c(d) - 4*h(d). List the prime factors of x(-5). 3, 7 Let n(q) = q**2 + q + 6. Let s be n(13). Suppose -5*j = -4*j + 5*o - 88, -2*j = 4*o - s. List the prime factors o...
{ "pile_set_name": "DM Mathematics" }
- 3 What is the q'th term of -1062, -1070, -1082, -1098, -1118, -1142, -1170? -2*q**2 - 2*q - 1058 What is the k'th term of -11602, -11636, -11672, -11710, -11750, -11792? -k**2 - 31*k - 11570 What is the d'th term of -16569, -33195, -49873, -66603, -83385, -100219? -26*d**2 - 16548*d + 5 What is the a'th term of 6832,...
{ "pile_set_name": "DM Mathematics" }
-539 + 133. Let b = n - -566. Is 7 a factor of b? False Let i(t) = t**3 + 11*t**2 - 12*t + 3. Let l be i(-12). Let y be 8 + l - (-5 - -6). Let o = y + 20. Is 30 a factor of o? True Suppose -74 = -2*t + 42. Suppose 0 = -5*p - 17 - 163. Let x = t + p. Is x a multiple of 6? False Suppose f = -4*n + 2 + 8, -3*f - 3*n = -12...
{ "pile_set_name": "DM Mathematics" }
d: 5}. What is prob of sequence iui? 5/153 What is prob of sequence ozo when three letters picked without replacement from {o: 8, z: 5}? 70/429 Four letters picked without replacement from {x: 1, n: 1, e: 2, g: 2, l: 2, v: 5}. Give prob of sequence elgg. 1/2145 What is prob of sequence dddf when four letters picked wi...
{ "pile_set_name": "DM Mathematics" }
Let z(o) = o**2 + 7*o + 6. Let q be z(-5). Let g = -11 - -11. Put q, g, -3 in descending order. g, -3, q Let c = 8 + -7.8. Let d = 1090.2 - 1091. Sort c, d, 0 in increasing order. d, 0, c Let s(x) = -x**3 + 8*x**2 - x + 6. Let h be s(8). Let k be (-9)/3 + (2 - h). Sort -5, -4, k in increasing order. -5, -4, k Let l = 0...
{ "pile_set_name": "DM Mathematics" }
o 12 and i have different values? True Suppose 7*r - 3 = -10. Let c = 565 + -2813/5. Let g = 7/3 - c. Which is smaller: r or g? r Let y = -4.14 + 4.04. Let u = -113 + -31. Is y greater than u? True Suppose -4*n - 8 = 4*w - 0*n, 5*n + 17 = 2*w. Suppose 0 = -2*i + 2*k + 3358, 0 = -28*i + 27*i + 5*k + 1691. Let v = i + -7...
{ "pile_set_name": "DM Mathematics" }
r a. -5 Suppose -s = 4*g + 15 + 26, -4*s - 20 = 0. Let b = g + 12. Solve b = -2*l + 5*l for l. 1 Let o(j) = -2*j**3 - j**2 + 2*j - 1. Let f = 3 - 2. Let d be o(f). Let u be (-9)/d + (-1)/2. Solve -u*y = -2*y + 10 for y. -5 Suppose 33*s - 36*s = 0. Solve s*y + 4 = -2*y for y. -2 Suppose 2 = 4*p - 3*p. Solve -2 - 2 = -p*...
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when c is divided by n. 1 Suppose 505*h - 509*h = 3*x - 771, 956 = 5*h - 4*x. Calculate the remainder when h is divided by 61. 9 Calculate the remainder when 140 is divided by 3/(4 + 235/(-60)). 32 Suppose 68 = 10*i - 7*i - 4*y, y - 11 = -i. What is the remainder when 59 is divided by i? 11 Supp...
{ "pile_set_name": "DM Mathematics" }
composite? False Suppose 0 = t + 5, -j + 3*t - 4*t = -726. Is j prime? False Suppose -5*b + 31 = 1. Let o = 20 - b. Suppose o = a - 23. Is a a prime number? True Let h be (-1)/5 - 63/(-15). Suppose -4*q + 54 = 4*p - 178, 5*q - 235 = -h*p. Is p a composite number? True Let w(m) = -m**2 - 7*m + 10. Let u be w(-8). Let j...
{ "pile_set_name": "DM Mathematics" }
? r**3 + 171*r + 52 What is the a'th term of 81837, 163675, 245513? 81838*a - 1 What is the r'th term of -3449, -3439, -3421, -3395, -3361, -3319? 4*r**2 - 2*r - 3451 What is the s'th term of -1353, -1362, -1375, -1392? -2*s**2 - 3*s - 1348 What is the y'th term of -50, -181, -388, -671, -1030, -1465, -1976? -38*y**2 -...
{ "pile_set_name": "DM Mathematics" }
igit of x? 9 Suppose 8*x = 5*x + 30. Let v = -9 + x. What is the units digit of (2 - 1)*v - -1? 2 Suppose -2*x - 2*z = -0*x - 2452, 3*z = x - 1246. What is the tens digit of x? 3 Let x = 1 - 0. Suppose -38 = -6*v - 56. What is the units digit of (v + 2)*(-23)/x? 3 Suppose 2*u + 3*l - 2318 = 0, 4*u + 34*l = 33*l + 4636....
{ "pile_set_name": "DM Mathematics" }
i? 14/323 Four letters picked without replacement from {l: 1, h: 1, b: 2, m: 1}. What is prob of picking 2 b, 1 m, and 1 h? 1/5 Two letters picked without replacement from axaxx. What is prob of picking 2 x? 3/10 Two letters picked without replacement from {k: 2, r: 1, m: 5, l: 2, c: 4}. What is prob of picking 2 l? 1/...
{ "pile_set_name": "DM Mathematics" }
he power of 1/2, to the nearest integer? 1307 What is 30660758 to the power of 1/3, to the nearest integer? 313 What is 1125076 to the power of 1/7, to the nearest integer? 7 What is 342016 to the power of 1/2, to the nearest integer? 585 What is the cube root of 1333424 to the nearest integer? 110 What is 951350 to th...
{ "pile_set_name": "DM Mathematics" }
composite? False Let d(o) = -14*o**2 - 5*o + 22. Let x(b) = 29*b**2 + 10*b - 43. Let i(h) = -13*d(h) - 6*x(h). Is i(-13) composite? False Suppose -5 = -j, 2*h = h + 5*j + 164. Suppose 18 = 4*i - 2*b, i - 4*i - 5*b = 19. Suppose i*g - h = -23. Is g prime? True Suppose -16*w = -17*w, a - 2833 = -2*w. Is a a prime number...
{ "pile_set_name": "DM Mathematics" }
2*l Let c(s) = -4*s - 2. Let v(t) = 5*t + 2. Suppose -n + 5*n + 14 = -2*j, 3*n = 0. Calculate j*c(k) - 6*v(k). -2*k + 2 Let g(t) = -5*t**3 + 2*t - 2. Suppose 24 = -36*a + 48*a. Let w(h) = -15*h**3 + 7*h - 7. Give a*w(s) - 7*g(s). 5*s**3 Let i(c) = -15*c + 7*c**2 + 5*c + 8*c + 1. Let b(a) = -a**2 + a. Calculate 5*b(s) +...
{ "pile_set_name": "DM Mathematics" }
-2 - -8). 4 What is the value of -3 - ((1 - -6) + (0 - 5))? -5 (29 - 34) + 7 + -2 0 Calculate -4 - -1 - (0 + -8 - -5). 0 What is the value of 4 + (-1 - -5 - 6)? 2 Calculate 1 + 2 + -8 + 3 - 2. -4 Evaluate (-11 - -22) + 1 + -8. 4 Evaluate 4 - (12 - 10) - 9. -7 What is -10 - (-14 - -4) - (-4 - -1)? 3 (-1 - -3) + -1 + (1 ...
{ "pile_set_name": "DM Mathematics" }
f x(f)? 7 Let w(f) = 7*f + f - 3 - 6*f. What is the units digit of w(3)? 3 Let a = 0 + 0. What is the units digit of (3 - -9)*(2 + a)? 4 Suppose -h = -5*p - 20, 3*p - 1 + 5 = -h. Let i be 4*(h/2)/(-5). What is the units digit of (-6)/(i - (-12)/9)? 9 Let m(c) = c**3 - 5*c**2 - 3. Let v be m(5). What is the units digit ...
{ "pile_set_name": "DM Mathematics" }
aces. -0.00004 Suppose -2*b - b - 3 = 0, 0 = -2*f + 4*b + 14. Suppose -f*n - 4*v = -3*v - 724, 708 = 5*n - 3*v. What is n rounded to the nearest 10? 140 Let s = -1 + 1. Let c(d) = -13627*d + 3. Let z be c(-1). Suppose s = p - z + 3530. What is p rounded to the nearest one thousand? 10000 Let j = 78 - 78.00159. What is ...
{ "pile_set_name": "DM Mathematics" }
4, 2*d + 8 = -2*d - 4*m. Let j = d + 5. Solve 5*u + 15 = -5*b, j*b - 3*u - 14 = 6*b for b. -5 Let o(x) = -6 + x**2 - x + 2 + 9. Let q be o(0). Solve 2*g + q*r = -30, 3*g - r + 3 + 8 = 0 for g. -5 Suppose 0*z - 13 = -z. Suppose -4*l - c = -z - 3, 5*c + 15 = -l. Solve 4*v - 2*o = -l*o - 11, 2*o + 9 = -3*v for v. -5 Suppo...
{ "pile_set_name": "DM Mathematics" }
, k, q Let q = 45/14 + -43/14. Put -1/18, q, 0.3 in decreasing order. 0.3, q, -1/18 Let q = -637.7 - -638. Sort 0.1, -3, q, -9. -9, -3, 0.1, q Let w be -7 - 64/(-8) - -6. Put -3.4, w, -1/3 in descending order. w, -1/3, -3.4 Let f = -107 + -43. Let k = 150 + f. Suppose -2*s - p = 3, -5*s - 4*p - 5 = -2. Put s, 3, k in d...
{ "pile_set_name": "DM Mathematics" }
the third biggest value in -3, h, u? -3 Let t(j) = j**3 - 2*j. Let x be t(2). Let p = -55/72 + 7/18. Suppose 3*f + 4 + 5 = 0. Which is the third biggest value? (a) x (b) f (c) p b Let v = -0.2 + 0.3. Let m = 2152.3 - 2152. What is the third smallest value in m, 0.4, v, 5? 0.4 Let q(l) = -l**3 - 12*l**2 - 18*l + 21. ...
{ "pile_set_name": "DM Mathematics" }
ut replacement from ikiiiiiiki. 0 Three letters picked without replacement from gsgfxjggkgkgkxxjg. What is prob of picking 1 g, 1 k, and 1 j? 21/340 Three letters picked without replacement from {g: 2, x: 1, i: 3, q: 6, e: 5}. What is prob of picking 1 g, 1 x, and 1 q? 3/170 Calculate prob of picking 2 y and 1 s when t...
{ "pile_set_name": "DM Mathematics" }
ement from {o: 2, u: 7, x: 3}. What is prob of sequence xxux? 7/1980 Calculate prob of sequence qxu when three letters picked without replacement from uxxrurarxq. 1/120 What is prob of sequence ybjj when four letters picked without replacement from {e: 1, b: 5, y: 8, j: 4}? 1/153 Calculate prob of sequence nqnn when fo...
{ "pile_set_name": "DM Mathematics" }