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e units digit of y? 8 Suppose 3*y - 39 = 267. What is the tens digit of y? 0 Let z be (-7 - -10)/(3/(-14)). Let i = z - -16. What is the units digit of i? 2 Suppose -5*j = y - 74 - 179, 235 = 5*j - 5*y. What is the tens digit of j? 5 Suppose -3 = -3*r, -v + 5*v - 3*r = 421. What is the tens digit of v? 0 Suppose 2*l + 2*h = 16, 2*l - h - 14 = -7. What is the units digit of l? 5 Suppose -2*c + c = -36. What is the units digit of c? 6 Let q be ((-24)/(-14))/(6/105). Suppose 2*v = 4*l - q + 80, -3*v - l = -40. What is the tens digit of v? 1 Let q(a) = a**3 + 18*a**2 - 31*a - 6. What is the units digit of q(-19)? 2 Suppose 2*h = -10, 0 = k - 3*h + 11 - 72. What is the tens digit of k? 4 Let s(d) = -2*d - 12. Let x be s(-8). Suppose -x*f - 3*n + 11 = -2, -2*n + 8 = 2*f. What is the units digit of f? 1 Let x be 6/24 - (-34)/(-8). Let s(j) = j**3 + 4*j**2 - 6*j - 4. What is the units digit of s(x)? 0 Let s be 1/(-2)*(0 - 0). Suppose -80 = -d - 4*d - 5*z, -3*z = 4*d - 66. Suppose s = h + 2, -d = -2*y + h + h. What is the units digit of y? 7 Suppose 2*i - 69 - 3 = 0. What is the units digit of i? 6 Let u = -19 - -23. Suppose -u*y = y + 4*x + 11, 0 = 2*y + 4*x + 14. What is the units digit of y? 1 Let c(x) = -6*x**3 + x**2 + 5*x. Let l(i) = -12*i**3 + 2*i**2 + 11*i. Let v(z) = 9*c(z) - 4*l(z). What is the units digit of v(-1)? 6 Let j be 0/((-2)/2) + 4. Let s be (-3)/6 + 82/j. Suppose 6 = -2*y, 0 = -4*f - 0*y - 4*y + s. What is the units digit of f? 8 Suppose 3*j = 2*k - 7, 0 = 4*j - k - 2*k + 8. Let m = 12 + j. What is the units digit of m? 7 What is the tens digit of 45/105 - (2 + 1674/(-14))? 1 Let z(i) = i - 5. Let v = 5 + -2. Let o be z(v). Let q = o + 15. What is the tens digit of q? 1 Suppose -4*z = 6*z - 170. What is the tens digit of z? 1 Let q(l) = l**2 - 5*l + 1. What is the units digit of q(6)? 7 Suppose 0 = -0*w + w - 2*u - 23, 5*u = -5*w + 70. Let q = w + -6. Let l = q - 3. What is the units digit of l? 8 Let w(k) = 4*k**2 + 7*k - k - 6 - 3*k - k**3. Let y be 2*(0/1 + 2). What is the units digit of w(y)? 6 Let w = 7 - 17. Let p = w - -14. What is the units digit of p? 4 What is the units digit of 35/(-2 + 3 - 0)? 5 Let m = 5 + -4. Let f be (m - 5)/((-6)/60). Suppose 3*i = f + 8. What is the tens digit of i? 1 Let l be (-603)/(-21) + (-6)/(-21). Let f = l - -2. What is the units digit of f? 1 Suppose 2*t - 5*t + 78 = 0. Let h(w) = 17*w**2 + 5*w - 17. Let y(c) = 4*c**2 + c - 4. Let q(m) = t*y(m) - 6*h(m). What is the tens digit of q(4)? 1 Let o = -53 - -94. What is the units digit of o? 1 Suppose 4*f - 115 - 189 = 0. What is the tens digit of f? 7 Suppose -60 = -n - 8. What is the tens digit of n? 5 What is the tens digit of 1 - -26 - 3/(-1)? 3 Suppose 5*v = 6*v - 46. What is the units digit of v? 6 Suppose -1 = -5*c + 9. Let g be (c + 1)/3 - -4. Suppose -s = -4*u - 2, -g*u + 11 = 4*s + 3. What is the units digit of s? 2 Let p = 60 - -27. What is the units digit of p? 7 What is the units digit of (6/4)/((-21)/(-56))? 4 Suppose -108 = -0*c - 3*c. What is the tens digit of c? 3 Let t(y) = -8*y - 48. What is the units digit of t(-25)? 2 Suppose -u - u + 5*j = -146, -4*u = -3*j - 278. What is the units digit of u? 8 Let j(g) = -g - 1. Let v = 6 + -4. Suppose 0 = 2*c - v*y + 18, -5*c + 5*y = -2*c + 37. What is the units digit of j(c)? 3 Let z(y) = -y**2 + 7*y - 1. Let x be z(6). Suppose x*h + 26 = -v + 5*v, 10 = 5*h. What is the units digit of -3*((-24)/v - -1)? 5 Let m(b) = -2*b - 1. Let r be m(-3). Suppose -14 - 11 = -r*a. Suppose 4*i + a*v - 58 = -9, 0 = -3*i - 3*v + 33. What is the units digit of i? 6 Suppose -3*u - 5*k - 37 = 0, 2*k + 15 = 5. Let i(b) = b**3 - 11*b**2 + 11*b - 11. Let o be i(10). What is the units digit of (o + (-2)/u)*-12? 6 Let f = -6 - 6. What is the units digit of 5/(-2)*f/15? 2 Let j(a) be the first derivative of -a**2/2 - 3*a - 4. What is the units digit of j(-4)? 1 Suppose 5*a - 180 = 2*h, -4*a + 2*h = -0*h - 144. What is the tens digit of a? 3 Suppose -v + 16 = -2*g, -5*g + 0*v + 5*v = 45. Let h = 9 + g. Suppose -h*s - 3*b = 3*s - 112, 72 = 4*s - 2*b. What is the tens digit of s? 2 Let p(f) = f**3 - 4*f**2 + 2. Let h be p(4). Suppose -5*b - c = -25, -c = -2*b - h*c + 13. Suppose -1 = -b*z + 7. What is the units digit of z? 2 Suppose 3*k - 7 = 3*r - 5*r, 3*r - k = 5. Suppose -r = 5*v + 8. Let p = v - -6. What is the units digit of p? 4 Let s(r) = 114*r**2 - 6. Let k(i) = -23*i**2 + 1. Let x(b) = -11*k(b) - 2*s(b). Let f be x(-1). Let g = f + -8. What is the tens digit of g? 1 Let p(d
{ "pile_set_name": "DM Mathematics" }
34)). Calculate the highest common factor of y and 1887. 111 Suppose 3*f + 3*q = 8295, -f - 2010*q + 2013*q = -2741. Calculate the greatest common divisor of 31 and f. 31 Suppose -3 = -3*u + 4*c, -4*c + 5 = -7. Let k be (28/12)/((-1)/(-9)). Let n = k - u. Calculate the greatest common divisor of n and 4. 4 Let p be 31/2*(-4)/(-2). Let h(d) = 12*d**3 + d**2 + 2*d + 2. Let u be 2/(4/(-3) + 2). Let r be h(u). Calculate the greatest common factor of r and p. 31 Suppose -a - 2 = -3. Let l(r) = -2*r**3 + 15*r**2 + 7*r + 1. Let u be l(8). Let t be (-35)/u + 2 + 0 + -2. What is the highest common divisor of a and t? 1 Suppose 2*z = -5*s - 0*z + 8, -4*s + 3 = 5*z. Let p be (s - (4 - 3)) + (37 - 7). Calculate the highest common divisor of 248 and p. 31 Let y(u) = -u**2 + 5*u + 105. Let o be y(-6). Calculate the highest common factor of o and 4017. 39 Let l(a) = 48*a**2 + 29*a + 123. Let d be l(-5). Calculate the greatest common divisor of 1085 and d. 31 Let k = 58 + -54. Suppose -4*o + k*y + 28 = 0, -3*o - o = 3*y - 56. Let n = -10 - -65. Calculate the highest common divisor of n and o. 11 Suppose 54*x = -23*x + 2202 - 46. What is the greatest common divisor of x and 500? 4 Let w(r) = -25*r**2 + 39*r - 14. Let y be w(4). Let i be (2/(0 + 1))/(y/(-2709)). What is the highest common factor of 525 and i? 21 Let z(l) = 6*l - 3. Suppose -7*x + 2*x = -60. Let q be (x*1)/(-1*(-12)/8). Let a be z(q). Calculate the highest common divisor of a and 18. 9 Let j = 15850 - 5939. What is the greatest common divisor of j and 34? 17 Let q(u) = -25*u + 1223. Let v be q(47). What is the highest common factor of 1024 and v? 16 Let c(v) be the second derivative of -v**5/10 - 11*v**4/3 - v**3/3 - 15*v**2 + 41*v. Let l be c(-22). What is the greatest common divisor of l and 14? 14 Let k = -30516 - -31476. Calculate the highest common factor of 2368 and k. 64 Let j(w) be the first derivative of 5*w**2/2 + 33*w + 31. Let i be j(10). Let h = 93 - i. Calculate the highest common divisor of 15 and h. 5 Let t = -50 + 63. Suppose -d - t = 55. Let x = -54 - d. Calculate the greatest common divisor of x and 42. 14 Suppose -17156*k + 3300 = -17144*k. Calculate the highest common factor of 44 and k. 11 Let a be (3 - (0 - 0))/(87/(-116)). Let w = 147 + a. Let d = w + -94. Calculate the greatest common factor of 7 and d. 7 Suppose 3*v - 564 = 4*m, 6 = 5*v - 6*m - 930. What is the highest common factor of v and 315? 45 Let c(s) = -7*s**2 - 6*s - 14. Let n be c(-7). Let f be n/27*9/(-3). Suppose 4*k - 91 = -f. Calculate the highest common divisor of 112 and k. 14 Let r = 378 + -367. Suppose 0*c + 363 = r*c. Calculate the greatest common factor of c and 44. 11 Suppose -a - z - 2*z - 4 = 0, 4*z = -16. Suppose -864 = -a*l - 136. Suppose -3*o + 8 = 2*k - 17, 3*k + 8 = 2*o. Calculate the highest common factor of l and o. 7 Let f(q) be the first derivative of -6*q**2 - 22*q + 96. Let g be f(-3). Calculate the greatest common divisor of 154 and g. 14 Suppose -347 - 73 = -5*l. Let j(s) = 67*s - 3763. Let k be j(57). Calculate the greatest common factor of l and k. 28 Suppose j = 18 + 14. Suppose 160 = 4*c + j. Let z = 58 + c. Calculate the highest common divisor of z and 18. 18 Let n(p) = 16*p - 159. Let x be n(11). Let f(q) = -2*q**2 + 44*q + 12. Let t be f(x). Calculate the greatest common divisor of 70 and t. 14 Suppose 5*x - 2810 - 6914 = -63*x. What is the greatest common divisor of x and 247? 13 Let s = 164 + -102. Let c = s - 57. Suppose -u - 3 = -2*h + 2, c = -h + 3*u. Calculate the greatest common factor of h and 28. 4 Suppose -33*y = 3*d - 35*y - 225, 1315 = 17*d + 2*y. Let o = 38 + -27. Suppose -o - 11 = -2*n. Calculate the greatest common factor of d and n. 11 Let o be (5511/668)/(39/12 + -3). Let z = -324 + 621. What is the greatest common factor of o and z? 33 Suppose 5*j - 4*b = -269, 5*j + 244 = j - 4*b. Let f = j + 37. Let h be (4/f - 492/15)*-1. Calculate the highest common divisor of h and 22. 11 Suppose 4*k + 4*a - 1200 = 960, -a - 2694 = -5*k. What is the greatest common divisor of 1568 and k? 49 Let c(k) = k**2 - 29*k + 32. Let m be c(27). Let x = 29 + m. Suppose 751 = x*n - 250. Calculate the highest common divisor of n and 13. 13 Let w = -623 - -637. Suppose -7*s + 10 = -2*s. Suppose -2*y + 254 + 118 = s*r, -2*r = 3*y - 376. What is the greatest common divisor of r and w? 14 Let q(s) = s**2 + 70*s + 942. Let i be q(-52). Suppose 4*k - 2*o + 325 = 1445, -k + 262 = -5*o. What is the greatest common divisor of i and k? 6 Let f be 256/(-12) - 2/3. Let q = -16 - f. Suppose -q*m = -4*a - m + 138, 2*m - 124 = -4*a. What is the highest common factor of 64 and a? 32 Let t be 3/((-3)/8 + 0/(-6)). Let h be (-32 + 0)*(t + (-36)/(-8)). What is the greatest common factor of h and 42? 14 Let v = -33 + 65. Let s = 104 - v. Suppose 3*b = -3*d + 4*b + 35, 4*d + 5*b - s = 0. What is the greatest common factor of 143 and d? 13 Suppose 3*u - r = 1158, 3*u - 1193 = 4*r - 17. Let c be (-2*13)/(-2) - 1. Calculate the greatest common factor of u and c. 12 Suppose -920 - 184 = -3*b. Let q = b - 225. What is the highest common divisor of q and 11? 11 Suppose 88*o - 50*o = 22724. Calculate the greatest common divisor of o and 104. 26 Let j(w) = -17*w**3 - 209*w**2 - 16*w + 34. Let b be j(-15). Calculate the highest common divisor of b and 32. 32 Let g be (-12)/9 + 1 - (-17)/((-1530)/(-109830)). What
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {l: 5, m: 2, r: 7, q: 1, v: 1, j: 4}. 4/969 Four letters picked without replacement from dbgrggrgrrrdrgggrdlb. Give prob of picking 3 r and 1 g. 49/969 What is prob of picking 1 b, 1 d, 1 x, and 1 g when four letters picked without replacement from {d: 1, x: 1, e: 3, g: 2, b: 3, s: 1}? 1/55 What is prob of picking 1 z, 1 y, and 2 r when four letters picked without replacement from {z: 10, r: 4, y: 6}? 24/323 Four letters picked without replacement from {y: 1, i: 2, d: 2, z: 1}. Give prob of picking 1 d, 1 z, and 2 i. 2/15 Three letters picked without replacement from {l: 12, r: 3}. Give prob of picking 3 r. 1/455 Two letters picked without replacement from {h: 2, i: 2, q: 1, u: 1}. Give prob of picking 1 q and 1 i. 2/15 What is prob of picking 1 w and 3 l when four letters picked without replacement from {l: 3, w: 5}? 1/14 Four letters picked without replacement from {d: 2, z: 8, f: 8}. What is prob of picking 2 f, 1 z, and 1 d? 112/765 What is prob of picking 1 x and 2 t when three letters picked without replacement from {x: 7, t: 3, n: 4}? 3/52 Three letters picked without replacement from yyykx. Give prob of picking 1 x, 1 y, and 1 k. 3/10 Four letters picked without replacement from xyjpprjrrrjppr. What is prob of picking 3 p and 1 r? 20/1001 Three letters picked without replacement from hhhhzhzhhhhh. Give prob of picking 3 h. 6/11 Three letters picked without replacement from xkjgikiookxg. Give prob of picking 1 x, 1 o, and 1 k. 3/55 What is prob of picking 2 t when two letters picked without replacement from cctttkkt? 3/14 Two letters picked without replacement from xxxrrrsrxx. Give prob of picking 1 r and 1 s. 4/45 Calculate prob of picking 1 o and 3 l when four letters picked without replacement from {l: 3, o: 3, g: 2, e: 8}. 3/1820 What is prob of picking 4 f when four letters picked without replacement from {q: 6, f: 4}? 1/210 Two letters picked without replacement from pppgrdgrrggerrrzgrp. What is prob of picking 1 d and 1 z? 1/171 Four letters picked without replacement from {r: 5, f: 1, d: 2, a: 1, h: 1}. Give prob of picking 2 r, 1 a, and 1 h. 1/21 Calculate prob of picking 1 e, 1 l, and 2 w when four letters picked without replacement from {l: 3, c: 1, o: 2, w: 4, k: 3, e: 3}. 27/910 Calculate prob of picking 2 i and 2 c when four letters picked without replacement from iccciiciciiiii. 360/1001 What is prob of picking 2 r and 1 g when three letters picked without replacement from bgbbbbbrrdbbdbbb? 1/560 Calculate prob of picking 1 w, 1 y, 1 i, and 1 m when four letters picked without replacement from {h: 1, y: 1, i: 1, m: 2, v: 1, w: 1}. 2/35 Calculate prob of picking 1 w and 2 u when three letters picked without replacement from {o: 5, u: 5, w: 4}. 10/91 Calculate prob of picking 1 t, 1 p, 1 z, and 1 e when four letters picked without replacement from {p: 2, r: 3, z: 4, t: 7, e: 1}. 2/85 Four letters picked without replacement from mccqeqeyyemyeqeqqc. Give prob of picking 2 c and 2 q. 1/102 Three letters picked without replacement from kfgbbhkh. What is prob of picking 1 k and 2 h? 1/28 Calculate prob of picking 1 e, 1 c, and 1 q when three letters picked without replacement from {i: 1, c: 1, e: 1, n: 1, q: 1}. 1/10 Three letters picked without replacement from fbxxgbfgbsggmbg. What is prob of picking 1 x, 1 g, and 1 f? 4/91 Two letters picked without replacement from {f: 2, h: 2, z: 2, r: 2, g: 1, y: 5}. Give prob of picking 2 h. 1/91 Four letters picked without replacement from {a: 5, q: 4, m: 7}. Give prob of picking 3 a and 1 q. 2/91 Calculate prob of picking 2 n when two letters picked without replacement from {b: 8, h: 7, n: 3}. 1/51 What is prob of picking 1 u and 2 a when three letters picked without replacement from aaaauaaaua? 7/15 Two letters picked without replacement from tctttttctttt. What is prob of picking 1 t and 1 c? 10/33 Two letters picked without replacement from slllsssllsslssllssl. What is prob of picking 1 l and 1 s? 10/19 Three letters picked without replacement from zwwwzzwwwwgwwgwzwzww. Give prob of picking 1 z, 1 w, and 1 g. 13/114 Two letters picked without replacement from {b: 2, c: 1, j: 2}. Give prob of picking 1 b and 1 c. 1/5 Two letters picked without replacement from ffccccc. What is prob of picking 1 f and 1 c? 10/21 Calculate prob of picking 3 k and 1 a when four letters picked without replacement from aackaakaaakakkkaca. 10/153 Four letters picked without replacement from {r: 1, g: 3, k: 5, s: 3, p: 1, w: 2}. Give prob of picking 1 g, 2 k, and 1 s. 6/91 Calculate prob of picking 2 g when two letters picked without replacement from {n: 3, a: 8, g: 5, z: 1, o: 3}. 1/19 Two letters picked without replacement from {d: 3, c: 2, u: 1, l: 4}. What is prob of picking 2 d? 1/15 Calculate prob of picking 1 e and 1 g when two letters picked without replacement from qmbge. 1/10 Four letters picked without replacement from jjjyjjyyjjjjyjjjjj. Give prob of picking 3 j and 1 y. 364/765 Calculate prob of picking 2 z and 1 q when three letters picked without replacement from {z: 4, k: 4, q: 3}. 6/55 Three letters picked without replacement from uaiauzaazz. Give prob of picking 1 z, 1 u, and 1 a. 1/5 What is prob of picking 2 k when two letters picked without replacement from {k: 3, j: 5, b: 2, z: 3, q: 2}? 1/35 What is prob of picking 1 m and 1 f when two letters picked without replacement from {m: 1, h: 1, t: 1, n: 1, f: 1}? 1/10 Four letters picked without replacement from gjjlgjq. Give prob of picking 1 l, 2 g, and 1 j. 3/35 Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {u: 1, w: 3, m: 1}. 1/10 Two letters picked without replacement from {u: 1, z: 3, j: 1}. Give prob of picking 2 z. 3/10 What is prob of picking 1 q and 1 c when two letters picked without replacement from {q: 1, e: 2, c: 1}? 1/6 Two letters picked without replacement from {g: 1, k: 2, x: 5, u: 3, e: 1}. What is prob of picking 1 k and 1 e? 1/33 Four letters picked without replacement from mmmmmmhmmmmm. Give prob of picking 1 h and 3 m. 1/3 Two letters picked without replacement from vvrvrvvrvvr. What is prob of picking 2 r? 6/55 Calculate prob of picking 1 o and 2 d when three letters picked without replacement from {b: 3, o: 2, d: 15}. 7/38 Four letters picked without replacement from {s: 7, a: 8, c: 3}. Give prob of picking 4 a. 7/306 Two letters picked without replacement from {r: 5
{ "pile_set_name": "DM Mathematics" }
= -p. Let w(o) = 640*o**2 - 14*o + 0*o - 6*o + 20*o. Determine s(w(t)). -640*t**2 Let l(t) be the first derivative of -t**6/90 + 52*t**3/3 - 33. Let n(k) be the third derivative of l(k). Let v(i) = 11*i. What is n(v(p))? -484*p**2 Let k(a) = 2*a**2 + 5*a**2 + 6*a**2 - 17*a**2 + a**2. Let n(r) = -43*r**2. Let p(d) = 473*d**2. Let h(v) = -43*n(v) - 4*p(v). What is h(k(y))? -387*y**4 Let o(c) = -c + 5. Let i(w) = 116888*w - 2. What is i(o(k))? -116888*k + 584438 Let a(h) = -115*h. Let m(j) be the third derivative of 11*j**5/60 + 4*j**2 - 60*j + 3. Calculate m(a(v)). 145475*v**2 Let d(y) = 2*y**2. Let r = -36 + 47. Suppose -3*o = -w + 3*w + 11, -5*o = -3*w + 31. Let f(u) = -r*u**w + 26*u**2 - 13*u**2. Give f(d(m)). 8*m**4 Let a(y) = -783*y. Let m(z) be the first derivative of -z**3 - 1328. Calculate a(m(l)). 2349*l**2 Let a(l) = -23*l - 552 + 12*l + 13*l + 552. Let j(z) be the first derivative of 243*z**2 - 28. Give a(j(f)). 972*f Let r(d) = d - 5. Let w be r(7). Let u(k) = 623*k**2 + 626*k**2 - 1230*k**w. Let l(b) = -b. Give l(u(x)). -19*x**2 Let t(k) = 46*k. Let h(q) = -2241734*q**2. Give t(h(c)). -103119764*c**2 Let c(s) = 4*s**2 + 12. Let d(m) = 5*m**2 + 14. Let k(y) = -7*c(y) + 6*d(y). Let l(p) be the first derivative of 3*p**2/2 - 7*p - 3. What is l(k(g))? 6*g**2 - 7 Let j = 21 - -2. Let s be 0 + j + (4 - 4). Let k(p) = -s*p**2 + 25*p**2 + 4*p - 4*p. Let v(g) = 34*g**2. Calculate k(v(t)). 2312*t**4 Let k(s) = -8*s - 2. Let x(u) = -25*u - 6. Let c(q) = -6*k(q) + 2*x(q). Let v(f) = 1 - 1 + 9*f. Calculate v(c(m)). -18*m Let s(r) = 42*r - 301*r + 260*r - 54. Let d(u) = -2*u. What is d(s(l))? -2*l + 108 Let g(j) be the first derivative of j**3/3 - 1. Let w(f) = -37119*f**2 + 18554*f**2 + 18585*f**2. Determine g(w(v)). 400*v**4 Let d(s) = 2070319*s + 1. Let q(u) = 2*u. Calculate q(d(o)). 4140638*o + 2 Let g(y) = -14*y + 3. Let h(w) = -101*w + 21. Let b(m) = 21*g(m) - 3*h(m). Let l(a) = 395*a + 2. What is b(l(x))? 3555*x + 18 Suppose 17*c = 3*c + 210. Let s(b) = 17*b + 4*b - c*b. Let w(q) = 13*q. Determine w(s(y)). 78*y Let c(n) = -2*n**2 - 116. Let z(s) = -2640*s + 1. Calculate z(c(b)). 5280*b**2 + 306241 Let s(r) = -115*r**2. Let h(a) = -326364*a. Give h(s(p)). 37531860*p**2 Suppose -13*q + 244 = -445. Let b(m) = q - 25 - 15*m**2 - 28. Let a(x) = 3*x. Calculate a(b(n)). -45*n**2 Let z(j) = -3*j + 17. Let n(l) = -22*l + 135. Let f(b) = -3*n(b) + 21*z(b). Let k(o) = -6*o. Determine k(f(c)). -18*c + 288 Let n(f) = -227*f**2 - 46777. Let m(a) = -2*a. Give n(m(x)). -908*x**2 - 46777 Let o(l) be the first derivative of -15 + 0*l + 9/2*l**2. Let p(b) = -17*b**2. Calculate p(o(v)). -1377*v**2 Let b(i) = i - 32. Let s(x) = 314*x - 5*x**2 + 224*x - 538*x. What is b(s(q))? -5*q**2 - 32 Let t(w) be the third derivative of -w**5/12 - 6*w**2 - 147. Let j(d) be the first derivative of 0 - 4*d**2 + 2 + 2*d**2. Determine j(t(n)). 20*n**2 Let c(y) = y. Let w(x) = -5031*x - 65. Let l be w(-10). Let n(o) = 50245*o - l*o - 13*o**2. Determine c(n(g)). -13*g**2 Let x(h) be the first derivative of -28 + 12 - 26 + h**2. Let n(p) = p. Let z(b) = b**2 + 6*b. Let u(t) = -6*n(t) + z(t). Determine x(u(f)). 2*f**2 Let k(b) be the second derivative of -2*b**3/3 + 197*b + 11. Let l(w) = 3*w**2 - 1. Give k(l(q)). -12*q**2 + 4 Let u(g) = 30*g**2. Let j(o) be the second derivative of -o**3/6 - 4*o**2 + 79*o + 5. Give u(j(d)). 30*d**2 + 480*d + 1920 Let r(l) = -35*l**2. Let w(a) = 59*a - 23*a + 69*a**2 - 20*a - 16*a. Calculate w(r(y)). 84525*y**4 Let b(a) = 8272567*a**2. Let d(u) = 3*u**2. Calculate b(d(s)). 74453103*s**4 Let a(b) be the first derivative of -27*b**2/2 - 6796. Let s(m) be the first derivative of -m**2/2 + 1. Calculate s(a(x)). 27*x Let f(x) = -116*x + 457*x - 171*x - 1 - 165*x. Let u(w) = 176*w**2. Calculate f(u(l)). 880*l**2 - 1 Let l(r) = -r. Let u(h) be the first derivative of -245*h**3 - 1088. What is u(l(x))? -735*x
{ "pile_set_name": "DM Mathematics" }
e the first derivative of t**3 + t**2 + 2*t - 148. Calculate n(-2). 10 Let u(i) = -i + 1. Let z(a) = -a + 8. Let j be z(2). Suppose 4*n + b + j + 0 = 0, -2*b - 6 = 5*n. Calculate u(n). 3 Let p(h) = -h**2 + h - 1. Suppose 3*w - 4*v = 117, -2*v = -4*w + 205 - 39. Let q = w - 42. Determine p(q). -1 Let m = 65 + -55. Let f be ((-4)/m)/(29/(-10) - -3). Let v(q) = -q**3 - 4*q**2 + q + 4. Determine v(f). 0 Let s(z) = -2*z - 6. Let u = -37 - -47. Let g be (1 + 0)/(u/(-70)). What is s(g)? 8 Let f(x) = -x**3 + 3*x**2 - 3*x + 3. Let n be -5 + -4*1/(-1). Let q(o) = -o**2. Let d(h) = n*f(h) + 2*q(h). What is d(4)? -7 Let v(k) be the third derivative of k**6/120 - k**5/20 + k**4/6 - 241*k**2. Determine v(5). 70 Let v(p) = p**2 + 7*p + 8. Let n be v(-6). Let t(h) be the first derivative of -2*h**3/3 + h**2 - 12. Give t(n). -4 Let g(h) = 7*h**3 + h**2 - h + 1. Let z be g(3). Let i be z/12 - (-2)/(-6). Let s = -9 + i. Let p(k) = -k + 7. Give p(s). 0 Let f(d) = -84*d**3 + 20*d - 17. Let o(x) = -29*x**3 + 7*x - 6. Let w(n) = -6*f(n) + 17*o(n). Suppose 3*u = 5*s - 7, s + 5*u = 2*s - 19. Give w(s). -10 Let j(i) be the third derivative of -1/60*i**5 - 1/8*i**4 - 20*i**2 + 0 + 0*i - 1/6*i**3. Let q(t) = t**3 - 5*t**2 + t - 6. Let w be q(5). Determine j(w). 1 Suppose -3*k = -2*z - z - 24, 12 = -2*z - 2*k. Let f(r) = r**2 + 6*r. Calculate f(z). 7 Let f be (-184)/44 + 10/55. Let y(t) be the second derivative of t**3/2 + 2*t**2 + t. What is y(f)? -8 Let t(w) be the second derivative of -w**6/120 - w**5/40 + w**4/8 + w**3/3 + 3*w. Let y(u) be the second derivative of t(u). What is y(2)? -15 Let l(y) = -y**2 + y**2 - 3*y + 3*y**2 + 4 + 2*y**2 + y**2 - y**3. Suppose 0 = 2*k - 0*k - 10. What is l(k)? 14 Let c(f) = f. Let b(v) = v**2 + 8*v - 7. Let p(t) = 2*b(t) - 2*c(t). Let m(s) = s**2 + 7*s - 7. Let y(l) = -5*m(l) + 2*p(l). Calculate y(-6). 13 Let v be (3/1)/((-18)/24). Let g(r) = -5*r + 9. Let n(u) = -u. Suppose 0 = -5*i + 1 - 6. Let j(x) = i*g(x) + 6*n(x). Determine j(v). -5 Let g(a) = 3*a + 304 - 5*a**2 - 301 + 10*a**2. Give g(3). 57 Let n be 9/6 + 6/4. Suppose -5 = -n*d + 10. Let v(f) = 0*f + 10*f**2 - f + d*f**2 - 7*f**2. Give v(1). 7 Let v(m) = -3*m + 2. Let q(s) = -4*s. Let r(i) = -2*q(i) + 3*v(i). Determine r(8). -2 Let j(t) be the first derivative of t**4/4 - 4*t**3 + t**2 + 2*t - 289. Calculate j(12). 26 Let d(y) = -9*y**2 + 396*y - 14 - y**3 - 388*y + 2. Determine d(-10). 8 Let r(s) = 32*s + 10. Let z(b) = 2*b + 1. Let m(i) = -r(i) + 10*z(i). Calculate m(-1). 12 Suppose 4*o + 11*k - 9*k - 14 = 0, 2*k = -2*o + 6. Let f(a) = -a**2 + a + 3. Give f(o). -9 Let k = -16 - -6. Let c = -6 - k. Let y = 6 - c. Let w(o) = 3*o**3 - 2*o**2 - o. What is w(y)? 14 Let v = -103 + 106. Let m(g) = 7*g**2 + 3*g. Let y(j) = -6*j**2 - 3*j. Let f(d) = -d**2 + 6*d + 4. Let s be f(6). Let i(w) = s*y(w) + v*m(w). Determine i(-2). -6 Let u = 44 - 527/12. Let k(r) be the second derivative of 0 + u*r**4 + 0*r**2 - 3*r + 0*r**3 - 1/20*r**5. Calculate k(2). -4 Let n be (1 + (-92)/20)*90/27. Let l(m) = 2*m**2 + 23*m - 5. Calculate l(n). 7 Let f(w) = w - 6. Let t be ((-15)/3)/(50/(-60)). Calculate f(t). 0 Let j(x) = -3*x + 0 + 6*x + 2. Suppose 2*h + 0*h = 0. Let w(b) = -2*b - 5. Let u be w(h). Give j(u). -13 Let s be 2/(-1) + (-9)/(-3). Let y(c) = -2*c + s - 10 + c - c. Give y(-10). 11 Let j(z) = z**2 - 5*z - 2. Let h(a) = a + 6. Let d = 40 - 40. Suppose d = 4*l + s + 8, 2*l + l + 6 = -3*s. Let m be h(l). Give j(m). -6 Let a(z) = -z**3 - z**2 + z. Let y(w) = -w**3 + w. Let h(t) = 3*t**3 - t**2 - 6*t - 5. Let s(b) = -h(b) - y(b). Let k(v) = 3*a(v) - s(v). Give k(-4). 3 Suppose 7*f - 70 = 2*f. Let h be f*((-20)/(-8) - 3). Let d(r) = r**2 + 8*r + 6. Give d(h). -1 Let o(r) = r**2 + 11*r + 24. Let y = 552 - 559. Calculate o(y). -4 Let j(r) = r**3 + 5*r**2 + 9*r - 11. Let q(b) = b**3 + 5*b**2 + 10*b - 14. Let x(s) = 5*j(s) - 4*q(s). Calculate x
{ "pile_set_name": "DM Mathematics" }
econd derivative of f**6/720 + f**5/120 + f**4/6 - f. Let u(y) be the third derivative of m(y). Let l be (-4)/6*(-4 + -2). Give u(l). 5 Let i(z) be the third derivative of -z**6/120 - z**5/10 - z**4/6 + z**3/6 + z**2. Give i(-5). -4 Let i(q) = -q**2 + q - 1. Let u be 4/6 + (-2)/3. Let x be 4/(-12)*-3 - u. Determine i(x). -1 Let s(b) = b**2 - b. Let g = 3 + -2. Let f(r) = 2*r**3 - r. Let j be f(-1). Let p = g + j. Give s(p). 0 Suppose -4*n = -8*n + 8. Let d(p) = -p**n - 1 + 1 - 2. Suppose 2*y + 0*y = 4. Determine d(y). -6 Let r(j) = -j**2 + 3*j + 8. Let s = -23 + 29. Determine r(s). -10 Let u(r) = r**3 + 6*r**2 + r - 5. Let b(v) = -v - 29. Let o be b(-24). Determine u(o). 15 Let g = 0 + 1. Let x(n) = -3 + 2*n**3 - n - g + 5. Give x(1). 2 Let w(j) = -5*j**2 + 2*j + 1. Suppose 0*s + 3*s + 3 = 0. Give w(s). -6 Let l(z) = 2*z - 2. Let r(x) = -x**3 + 4*x**2 + 4*x + 4. Let c be r(4). Suppose -4*y + 2*y = -c. Suppose 0 = 7*o - 2*o + y. Calculate l(o). -6 Let a(i) = i**3 - 6*i**2 + 6*i - 3. Let w be a(5). Suppose 2*m = d + w - 0, -3*m = -3*d. Let x(y) = -2*y - 2. What is x(d)? -6 Let h(u) = -3*u - 11. Let q(t) = t + 4. Let c(v) = 2*h(v) + 7*q(v). Suppose -b - 2*b = 3*o + 3, o - 3*b + 17 = 0. Calculate c(o). 1 Let m(h) = -h**3 + 3*h**2 - 3*h + 1. Let r be m(2). Let p(x) = x**3 - x**2 - 5*x + 3. Let u be p(3). Let n(b) = u + b**2 + 2*b - 2 - 2*b**2 - 3. What is n(r)? -2 Let h = -16 - -11. Let u(i) = i**3 + 4*i**2 - 3*i + 5. Give u(h). -5 Let f(n) = 0 + 3 + 3*n + 4 - n - n**2. Suppose -3*t + 3*g + 18 = -0*g, 5*t - 20 = -5*g. Determine f(t). -8 Let y(j) = 7*j + 2. Let t be y(2). Suppose -2*o + 2*k = o - t, 4*o = 5*k + 26. Let d(z) = -7*z + 5 + 2*z + 3*z**2 - 2*z**2. Determine d(o). 1 Let u(h) be the second derivative of 0 + 0*h**2 + 1/24*h**4 - 1/6*h**3 + h + 1/120*h**5. Let b(i) be the second derivative of u(i). Determine b(3). 4 Let t be ((-4)/3)/((-4)/6). Let u(m) = 2 - t + 1 + m. Let d = -8 + 5. Determine u(d). -2 Let t(n) = -n**2 + 11*n + 21. Let g be t(13). Let m(o) = o + 7. Determine m(g). 2 Let z = -35 + 22. Let x = z + 8. Let d(h) = -3 + h**3 + 14 - 3*h**2 - 3*h + 7*h**2 - 8. Give d(x). -7 Let a be 21/12*12/(-3). Let z(b) = -b**2 - 6*b + 10. Calculate z(a). 3 Let c(y) be the second derivative of -y**3/6 - 5*y**2 + 2*y. Suppose -6*j = -10*j. Give c(j). -10 Let m(p) = -p**2 - 5*p. Suppose f = 3*n + 14 - 5, -4*f + 4*n = 4. Let b be (-2)/(-1)*f/3. Give m(b). 4 Let d(j) be the third derivative of -j**6/360 - 7*j**5/120 - j**4/4 + 2*j**3/3 + 5*j**2. Let q(i) be the first derivative of d(i). Determine q(-6). 0 Let q = 71 - 76. Let i(n) = -n**2 - 5*n + 2. Calculate i(q). 2 Let y(s) = -2*s - 2. Let d be y(-2). Let x(u) = u - 3. Determine x(d). -1 Let k be 3/(-3)*2/2. Let x(i) = -3 - 7*i**3 + 3. Let l(o) = 36*o**3. Let z(n) = 2*l(n) + 11*x(n). Give z(k). 5 Let l(g) be the second derivative of g**2 + 0 - 1/60*g**5 + 2*g + 1/24*g**4 - 1/3*g**3 - 1/120*g**6. Let p(a) be the first derivative of l(a). Calculate p(-2). 0 Suppose -5*a = -2*h - 13, -2*h = 2*a - 7*h - 1. Let y(p) be the first derivative of 0*p - 4 - 3/2*p**4 + 0*p**2 - 1/3*p**a. Determine y(-1). 5 Suppose -2*w = 2*w. Suppose 1 - 3 = -2*a. Let k(o) = 2*o - 3*o + a + 0. What is k(w)? 1 Let a(m) = -5*m. Let v = -3 - -4. Suppose i - v + 0 = 0. Suppose -5 + i = -4*f. Give a(f). -5 Let u(v) be the first derivative of -2*v**2 - 2*v + 9. Calculate u(-4). 14 Let g(t) = t**2 + t - 6. Suppose b = -3 - 0. Let p be (-1)/(-1 - 0) + b. Let w be (1 - 0) + 1 + p. Calculate g(w). -6 Let b(j) = 8*j - 9. Let o(p) = -7*p + 8. Let m(y) = -6*b(y) - 7*o(y). Determine m(-6). -8 Let v(d) = -d**3 - 13*d**2 + 15*d + 19. Let t be v(-14). Let m(f) = 4*f + t*f + 5 - 5*f**2 + 6*f**2 - 3*f. What is m(-4)? -3 Let f(i) = i**2 + 4*i + 1. Suppose -1 - 8 = 3*t. Give f(t). -2 Let z(a) = a**2 - 4*a - 1. Let d = -2 + 4. Let f = d - 4. Let l be (f/5)/((-4)/40). Calculate z(l). -1 Let o(d) = 2*d**2 + d. Let m be o(-5). Suppose -4*s - 5*g + m = 0, s +
{ "pile_set_name": "DM Mathematics" }
+ 0*w = 0 for w. 0 Suppose 12 = 5*k - 2*l + 3*l, -9 = 3*l. Suppose -o + 0 + k = 0. Solve 4 = -v + o*v for v. 2 Let x be 2/30*5*12. Solve 7*a - x*a = 3 for a. 1 Suppose 3*y + s = 3*s + 27, -5*y + s + 45 = 0. Solve r + 4 = y for r. 5 Suppose -5*h = -0*h - 10. Let t(q) = -q + 6 + h*q**2 - 6*q + q + 0*q. Let a be t(4). Solve 5*y - a = 1 for y. 3 Let d(q) be the first derivative of 3*q**2/2 - 6*q + 3. Let t be d(4). Solve -2*m + t*m = 0 for m. 0 Suppose 2*i - 10 = -2*z + 8, -46 = -4*i + z. Solve -5*a - 1 = -i for a. 2 Suppose 2*l = -2*l + 36. Solve 2*x = l - 1 for x. 4 Let c(r) = -r**3 + 2*r**2 + r + 3. Let y be c(2). Suppose -5*z + 5 = 2*o - 6, -y*o = -3*z - 12. Solve 0 - 3 = o*j for j. -1 Let o be (-224)/(-36) - 4/18. Let d = 5 + -1. Let v(q) = 2*q - 5. Let i be v(d). Solve i*t - t = -o for t. -3 Suppose -5*m - 85 = -3*g, -4*g - 5*m - 21 + 111 = 0. Let w be (6 + -5)/((-2)/26). Let u = g + w. Solve -7*c + 3*c + u = 0 for c. 3 Suppose 2 = 2*c, -x - 4*x = -5*c - 5. Suppose q = 3*q. Suppose q = -4*k - m + 78, x*k - 5*m - 22 = 28. Solve -4*u = -9*u + k for u. 4 Let f be 0 + -4*-1*1. Let h(q) = 4*q**3 - 5*q**2 + 5*q - 8. Let c(a) = a**3 - a**2 + a - 1. Let i(m) = 5*c(m) - h(m). Let v be i(0). Solve f = v*d + 13 for d. -3 Let f be (-4 + 0)/(24/(-12)). Solve -4 - 2 = -f*q for q. 3 Let y(z) = 2*z**2 - 1. Let q be y(2). Suppose -3*r - 5*a = -13, q*r - 4*r - 19 = a. Suppose -3*w + 5 = -2*s, 4*w + 3*s = w. Solve -g - w = -r for g. 5 Suppose -7*s + 14 + 7 = 0. Solve 2*t = 3 + s for t. 3 Suppose -u = 6 - 7. Let k(d) = d + 2. Let n be k(-2). Solve u = -q - n for q. -1 Let m = 15 + -8. Let p = -3 - -17. Suppose 0 = -w - 3*c + p, -4*c + 17 = 3*w - 2*w. Solve m = w*u - 3 for u. 2 Let u be ((-1)/2)/((-7)/(-84)). Let l(v) = v**3 + 6*v**2 - v - 4. Let h be l(u). Solve 2*m = -h*m for m. 0 Let j be 12*2*(-1)/(-2). Suppose q - 5*q - j = 0. Let g = q + 6. Solve 2*f = g*f - 4 for f. 4 Let u = -36 - -42. Solve y + 2 - u = 0 for y. 4 Let h(k) = -k**2 + k. Let d = 0 - -1. Let u be h(d). Solve u = -4*c + 5*c + 1 for c. -1 Let t(w) = w. Let n be t(2). Suppose 3*g - 17 = -o + 6*o, -o - 1 = 0. Solve g*j - n - 6 = 0 for j. 2 Let i be 12/8*8/3. Solve -3 = -v - i for v. -1 Suppose -56 = -2*g - 10. Suppose -3*d + 2*o = -0*d - 1, 5*o = -d + g. Solve -q + 0 + d = 0 for q. 3 Suppose 5*r - 1 = 2*r - x, 2*r = x + 9. Let u(g) = g + 8. Let c be u(-8). Let n be c/1 - (0 + -2). Solve n = -r*w - 4 for w. -3 Suppose 4*l = -2 + 42. Let m = 10 - l. Solve m = r - 5*r - 16 for r. -4 Suppose 0 = 5*l - 7*l + 2. Solve -4*v + 7 + l = 0 for v. 2 Suppose a = -0*a + 64. Let j = a + -44. Solve -j = -3*o - 2*o for o. 4 Suppose y = -0*y + 18. Suppose -5*i + y = -7. Suppose 10 = 5*c - i. Solve -7 + c = -2*f for f. 2 Let q(h) = -h**3 - h**2 + 1. Let v(m) = 2*m**3 + m + 1. Let p(b) = q(b) + v(b). Let o be p(0). Solve -k + o*k = 2 for k. 2 Let r = -1 + 5. Suppose -3*s + r = s. Solve -2*l - 9 = -s for l. -4 Let m = -22 + 27. Solve -m = 6*j - j for j. -1 Suppose 0 = -9*h + 7*h + 3*j + 27, 10 = 5*h + 4*j. Solve 3*v - 9 = h*v for v. -3 Let q(u) = 6*u - 38. Let f be q(8). Solve -6*g = -11*g - f for g. -2 Suppose 0 = -3*t + 15, -4*y + 5*t = 57 + 16. Let k be y + 9 + (0 - -9). Let x = k - 6. Solve -6*v + v + 15 = x for v. 3 Let y = -22 - -4. Let r = y - -24. Solve r*j = j + 10 for j. 2 Let c(t) = t**2 - 7*t + 7. Let w be c(6). Let l be w + 2/(-5)*-5. Solve l*q + 2 = -1 for q. -1 Suppose -23*b = -28*b + 25. Solve b*v + 0 = -15 for v. -3 Let y(b) = -2 + 2 + 4*b**2 + b. Let n be y(1). Let f(z) = z**2 - z - 2. Let k be f(-2). Solve k*g - 7 = n for g. 3 Let n be (-8)/((-48)/18) + 0/(-2). Solve c + 4 = n for c. -1 Suppose 3*y + y = -28. Let z = 9 - -3. Let u = z + y. Solve u*v + 4 = 19 for v. 3 Let y(d) = -4 + 4*d**2 - 2*d + 0*d + 2 + 0*d. Let u be y(-1). Solve n + u = 1 for n. -3 Let q = -24 + 24. Solve -4*k + 7 + 5 = q for k. 3 Let h = 23 - 13. Let o(f) = f**3 + 12*f**2 + 10*f - 8. Let a be o(-11). Suppose a*m + 2*j - 6 = -2*j, -3*m = 5*j - 3. Solve h
{ "pile_set_name": "DM Mathematics" }
t derivative of -21641*n**4 + 38107 wrt n. -86564*n**3 What is the third derivative of -12*b*j**4 + 366*b*j**3 + 35940*b*j**2 - 5*b*j + 2*j**4 - 4*j**3 wrt j? -288*b*j + 2196*b + 48*j - 24 Find the first derivative of p**3 - 31857*p**2 + 140713. 3*p**2 - 63714*p What is the third derivative of -2*w**6 - 6*w**5 - 550*w**4 - 3*w**2 - 40 wrt w? -240*w**3 - 360*w**2 - 13200*w What is the second derivative of -195664*w**2 + 202488*w wrt w? -391328 What is the third derivative of 2321015*g**6 + 23*g**2 + 87*g - 121? 278521800*g**3 Find the third derivative of 2*c*g*m**3 + 16*c*g - 2*c*m**3 - 3*c*m + 116*g*m**3 + 2*g*m**2 + 2*g + 3*m**3 wrt m. 12*c*g - 12*c + 696*g + 18 Differentiate -5*h**2*s - h**2 + 66*h*s + h + 35624*s wrt h. -10*h*s - 2*h + 66*s + 1 Find the first derivative of -10*v**3 + 674*v**2 - 11*v - 2706761 wrt v. -30*v**2 + 1348*v - 11 Find the third derivative of 1999778*f**4 - 2635631*f**2. 47994672*f Find the second derivative of -50062*u**2 - u + 465. -100124 Find the third derivative of -26790*h**3 + 4303*h**2 + 5*h. -160740 What is the second derivative of 159654*k**2 - 557156*k wrt k? 319308 Find the second derivative of 12747*p**2*s**3 + 2*p**2*s - 2*p*s**5 - 1612*p + 4*s - 1 wrt s. 76482*p**2*s - 40*p*s**3 Find the second derivative of 1787848*t**3 + 2*t - 144437. 10727088*t Find the second derivative of 7*t**4 + 2*t**3 + 1055*t**2 + 2105*t - 1. 84*t**2 + 12*t + 2110 What is the second derivative of 22568*f**3 - 9*f**2 + 419767*f? 135408*f - 18 Find the second derivative of -y**4 + 2*y**3 - 45123*y**2 - 158*y - 101. -12*y**2 + 12*y - 90246 Differentiate 1441*a**2*z**2 + 1380089*a**2 - a*z**2 + 5*a*z - 4*z with respect to z. 2882*a**2*z - 2*a*z + 5*a - 4 Differentiate -2*y**4*z**2 + 184323*y**4*z + 2*z**2 - 204324*z - 1 with respect to y. -8*y**3*z**2 + 737292*y**3*z Find the second derivative of 2*b**2*w**3 + 4*b**2*w + 6051*b**2 + 379*b*w**2 - 3*w**3 - 2*w**2 - 2 wrt b. 4*w**3 + 8*w + 12102 What is the second derivative of 107701*c**2 - 156367*c wrt c? 215402 Find the second derivative of -4*f*u**3 + f - 10*u**4 + 165*u**3 + 20753*u wrt u. -24*f*u - 120*u**2 + 990*u Find the third derivative of -39884*t**3 + 1766*t**2 + 4*t + 2. -239304 Find the third derivative of 8029*w**5 + 3*w**3 + 10551*w**2 - 2*w + 2 wrt w. 481740*w**2 + 18 Find the third derivative of -1050728*s**5 - 25631*s**2 + 3 wrt s. -63043680*s**2 Find the second derivative of 2*d**2*n + 3*d**2*x**2 - 683*d**2 + 4*d*n*x**2 + 47*d*n*x + 15*d*n - 5*n*x**2 - x**2 wrt d. 4*n + 6*x**2 - 1366 Find the second derivative of 11295*s**4 + 3*s**3 - s**2 + 173*s + 237. 135540*s**2 + 18*s - 2 Differentiate 2373*p - 45816 wrt p. 2373 What is the derivative of 233438*y + 28940 wrt y? 233438 Find the second derivative of -b**2*g**3 - 10503*b**2*g**2*k**3 + b*g**3*k**3 + 3*b*g**3*k + 54*b*g*k + 4*g**3*k**3 wrt b. -2*g**3 - 21006*g**2*k**3 Find the third derivative of 14*d**3*l**3*u - 17108*d**3*l**2*u - d**2*l**3 - d**2*l**2*u - 158*d*l**2 + 2*l**3 - 107*u wrt d. 84*l**3*u - 102648*l**2*u What is the second derivative of 123227*f**2 - 2*f + 271370? 246454 Differentiate 1504169*c - 134781 wrt c. 1504169 Find the first derivative of -2671*k**3*s**2 + 38031*k**3 - 3*k**2*s**4 wrt s. -5342*k**3*s - 12*k**2*s**3 What is the third derivative of -8*b**2*p**4 - 537*b**2*p**3 - 693*b**2*p**2 + 10*b**2 wrt p? -192*b**2*p - 3222*b**2 Find the third derivative of -294708*b**5 + 8619*b**2 wrt b. -17682480*b**2 What is the second derivative of 10*p**2*z**3 + 17*p**2*z**2 - 66445*p**2*z + p**2 - 90*p*z**3 - z + 1 wrt z? 60*p**2*z + 34*p**2 - 540*p*z Find the second derivative of 1717*t**4*z - 18*t**3*y + 244*t*y*z + 195*t*y + 6*t*z wrt t. 20604*t**2*z - 108*t*y Find the second derivative of -223*n**5 - 655*n**3 - 3*n - 1135 wrt n. -4460*n**3 - 3930*n What is the second derivative of -1199576*s**2 - 1046955*s wrt s? -2399152 Differentiate 131*o**2*p + 2*o*p**2 + 337*o - 2*p**2 - 11*p - 1312 wrt o. 262*o*p + 2*p**2 + 337 Find the second derivative of -58378*f**2 - 54*f + 5 wrt f. -116756 Differentiate -k*z**2 - 3*k*z - 37755*k - 672993*z**2 with respect to k. -z**2 - 3*z - 37755 What is the second derivative of -178*g**4 - 3405*g**3 - 1557936*g? -2136*g**2 - 20430*g What is the second derivative of a*u**2 + a*u + 57843*u**2 - 2*u - 161 wrt u? 2*a
{ "pile_set_name": "DM Mathematics" }
1.216006 What is -0.1 plus 0.07941? -0.02059 Total of 0.68 and 0.1. 0.78 Calculate -0.1 - 43104. -43104.1 What is 5738 less than -4? -5742 Add together -22.246 and 4. -18.246 Subtract 2.3 from -73. -75.3 What is the difference between -25 and -0.025? 24.975 What is 2423 less than -802? -3225 Calculate 0.85 + 0.01994. 0.86994 0.8 + 390 390.8 -0.0615001 + 0.5 0.4384999 What is 19 + -2.505? 16.495 What is -0.4 + 0.63? 0.23 What is 1935 - -0.5? 1935.5 Work out 1310 - 0.4. 1309.6 Sum -4.16 and -5. -9.16 What is 0.23 less than -520? -520.23 What is -0.5 - 0.034313? -0.534313 Add together -1 and 128. 127 Total of -3.3 and 108.85. 105.55 What is 2174361 + -0.3? 2174360.7 What is -56348 - 12? -56360 Total of 0.06 and 1241.9. 1241.96 Calculate -0.27 + -113. -113.27 -3 + 299962 299959 Calculate 14.62 - 0.2. 14.42 Total of -662 and -2.2. -664.2 Add together 17 and 0.06775. 17.06775 72+-151 -79 Calculate -0.12694 + -32. -32.12694 Calculate -1 - -831. 830 What is -2723 - 0.4? -2723.4 What is -0.5 - -2500? 2499.5 Total of -9.5 and 0.0156. -9.4844 Add -661 and 2. -659 What is the difference between 1.09 and 113? 111.91 Work out 0.42 + -75. -74.58 -0.3+0.474 0.174 -2133 - -0.2 -2132.8 What is -0.11 + -556.7? -556.81 What is the distance between -9.9 and -856? 846.1 Work out 312 + -2.3. 309.7 -0.1+1.27 1.17 Subtract -6 from -1712. -1706 Add -19165 and -0.3. -19165.3 What is the distance between 10977 and -0.3? 10977.3 Work out -1563 - 46. -1609 Add -5.93 and 749. 743.07 Subtract -3 from -5873.53. -5870.53 What is 2657852 less than -0.8? -2657852.8 Work out -0.3 - -13956. 13955.7 What is -1 take away -691? 690 Calculate 0.1 - -0.201461. 0.301461 What is -0.03665 take away -2? 1.96335 What is -0.1 less than 52.5108? 52.6108 Subtract 0.41 from 2.7. 2.29 Subtract -1460 from 0.3. 1460.3 -0.05 - 43.71 -43.76 What is -0.4 + 866785? 866784.6 What is -4.9 less than -4999? -4994.1 -0.5 - -1193 1192.5 What is 37.9 less than 112? 74.1 Add together -564.2 and -0.9. -565.1 Work out 31.852478 - -0.4. 32.252478 What is 53.7 plus 11.09? 64.79 Calculate -102.21 - -0.06. -102.15 Calculate -124260 + 1.3. -124258.7 Calculate -32.32 - 0.14. -32.46 Calculate -0.61 + 0.53188. -0.07812 Work out 0.3 - 547. -546.7 Sum 5 and -3907. -3902 Calculate -15042896 - -1. -15042895 Put together 1 and 2573. 2574 What is -0.01 minus 2.7088? -2.7188 What is 0.005 take away 6.26? -6.255 What is -988.9 take away 1? -989.9 2898 - 0.07 2897.93 What is the difference between -0.3 and -0.1872? 0.1128 What is 2 take away -5547.4? 5549.4 Work out -4 - 183696. -183700 -5.9 + 2.546 -3.354 What is 2109 less than -0.5? -2109.5 Add -2.2 and 122646. 122643.8 What is 19319 plus -0.274? 19318.726 What is 47 - 2687? -2640 Add -0.6492 and 715. 714.3508 What is the distance between 1.8 and -1.53? 3.33 Work out 0.0425 + -1.03. -0.9875 Calculate 0.07 + -0.057. 0.013 Put together -420 and 0.326. -419.674 Add -3908 and 0.045. -3907.955 Total of -11.94 and -0.02. -11.96 What is -4.7 take away 2.29? -6.99 Calculate 0.06 - 2491. -2490.94 What is 6 take away 57? -51 Add -100.67 and 1. -99.67 Subtract -493 from -3. 490 Subtract 25243.7 from -41. -25284.7 Put together -0.5 and -3079.78. -3080.28 What is 0.139 minus -16? 16.139 3.138 + 2 5.138 What is 34.522 take away -1? 35.522 Work out -2817 - 0.26. -2817.26 What is -5.83912 - 2? -7.83912 9.22 - 0.283 8.937 0.01 + 0.5 0.51 Put together -7.6 and 32. 24.4 10 + 168.406 178.406 Calculate -2486.9 + -4. -2490.9 Put together 55 and 790. 845 What is -0.117 - 3? -3.117 What is the distance between -0.646 and -0.8? 0.154 What is 0 less than 0.05633? 0.05633 Work out -0.153 - -3468. 3467.847 Add together 0.73 and -0.02002. 0.70998 0.5 - 1773 -1772.5 -5.6+-0.154 -5.754 Add -2 and -2.281. -4.281 Total of -0.145 and -0.32. -0.465 Work out 5537.59 - -5. 5542.59 Calculate -1.212 + -0.06. -1.272 What is -0.0544 take away 0.62? -0.6744 What is 236640 + 0.09? 236640.09 What is -0.1156 minus 0.5? -0.6156 Sum 0.2 and 583. 583.2 Work out -3506.3 - -9. -3497.3 What is -17 + 0.14? -16.86 What is -27246 - 18? -27264 Put together 1467 and 1. 1468 Add -0.191 and 6. 5.809 What is 1.1 plus 304? 305.1 What is the difference between 34 and 1510? 1476 Total
{ "pile_set_name": "DM Mathematics" }
-19219? -19219 Which is the third biggest value? (a) -1.1 (b) -566 (c) -2 (d) -14 d Which is the fourth smallest value? (a) -16/7 (b) 2408 (c) 3 (d) 0.06 (e) -33 c What is the second smallest value in 1/4, -2839123, -0.1, -0.4? -0.4 Which is the third smallest value? (a) -3 (b) -205920 (c) 46 c What is the third biggest value in -5, 0.096570848, 6? -5 What is the third biggest value in 3, 1/9, -1.26421, 17? 1/9 What is the biggest value in -125/2, -2/3, 128, 6.65? 128 Which is the smallest value? (a) -4/7 (b) -10 (c) 18 (d) 639126 b What is the seventh biggest value in 60, -5, 1, -267.9, -0.2, 4, -21? -267.9 Which is the smallest value? (a) 3/4 (b) 263102 (c) 121 a What is the second biggest value in 44314, -0.19, 2/5, 5? 5 What is the second smallest value in 3/3257, 1.796, -2? 3/3257 What is the second smallest value in -842476, -5, -14/37? -5 Which is the second biggest value? (a) -2 (b) 6/17 (c) -70841 (d) -4 a Which is the smallest value? (a) -446067 (b) -1 (c) -0.5 a Which is the sixth biggest value? (a) 5 (b) -79 (c) 1/4 (d) -5 (e) 3 (f) 3110 b Which is the second smallest value? (a) 5/59 (b) 6 (c) 0.4 (d) -8/161 a Which is the second biggest value? (a) -6840 (b) -119 (c) 3 (d) -5 (e) -6 (f) 1/6 (g) 0.5 g Which is the third biggest value? (a) -2 (b) -16822 (c) 11 (d) -4 (e) 0 (f) 3 e Which is the smallest value? (a) -86 (b) 2 (c) 36105 (d) -2 a What is the third smallest value in -3043, 120, 63/4? 120 Which is the fifth smallest value? (a) -101 (b) -2/5 (c) -1 (d) -877 (e) -5 (f) -1.2 c Which is the seventh smallest value? (a) -4/3 (b) -2 (c) 23 (d) 0.1 (e) -4/5 (f) -266 (g) -4 c Which is the third biggest value? (a) -18/31 (b) -1 (c) -1/112915 b What is the second smallest value in 2, -0.06, 0.12, -1.3, 770/9, -3? -1.3 Which is the sixth biggest value? (a) 11/7 (b) 1/4 (c) -2 (d) 5 (e) -1/3 (f) 2 c Which is the fourth smallest value? (a) 2/3 (b) 4 (c) -56174.4 (d) 9 d Which is the third biggest value? (a) -3 (b) 0.1 (c) -479 (d) -128/13 d What is the fourth smallest value in -4, -507/5, -1, -4.41? -1 Which is the second biggest value? (a) 4 (b) 0.117 (c) -0.2 (d) -3 (e) -1/3 (f) 11 (g) 2/15 a Which is the smallest value? (a) 5 (b) 2307 (c) -5 (d) -35 (e) -2/3 (f) 8 (g) 1/9 d Which is the fourth biggest value? (a) -795 (b) 0.044 (c) 2/3 (d) 11 (e) 1/2 b What is the third biggest value in -0.5, -0.1, 0.4, -5, 20, 1, 265? 1 What is the fifth biggest value in -18, 3, -1/9, 9, -0.01, 0.082? -1/9 Which is the smallest value? (a) -0.4 (b) 2 (c) -19.2 (d) -4 (e) -0.2 (f) 5/33 c Which is the smallest value? (a) -757 (b) -45 (c) -0.004 a What is the biggest value in 4, 386, -0.4, 2/15, 109, 1/8, -4? 386 What is the third smallest value in -29, 147, -3, 187? 147 What is the fourth smallest value in 18, -4, -54663, -1/6, -0.5? -1/6 Which is the second biggest value? (a) 16 (b) 43/2 (c) 376.67 b What is the third smallest value in 5/3, 4, -9438, -0.5, 0? 0 What is the fourth smallest value in -226360, -0.5, 3/14, 1.8? 1.8 What is the smallest value in -0.23, -5, 21, -98/43, 1/3, 2/9? -5 Which is the third biggest value? (a) 1/170 (b) -1.2 (c) 4 (d) -4.34 (e) 0.5 (f) 0 a Which is the smallest value? (a) -0.128 (b) -0.1 (c) 5275 (d) -1/9 a Which is the biggest value? (a) 1/5 (b) 26/3 (c) -1 (d) 66/5 (e) -0.101 d Which is the second biggest value? (a) 73 (b) 1 (c) -1 (d) -39 (e) -47/3 b Which is the third smallest value? (a) 2.73 (b) 53 (c) 0.5 (d) -4/105 a What is the seventh smallest value in 0.15, 1/6, 9, 1/2, 2/19, 2, 3? 9 Which is the second smallest value? (a) -364 (b) -1.6 (c) -1053.4 (d) -2/5 (e) -0.5 a Which is the second biggest value? (a) -2 (b) 2/13 (c) 2 (d) 1/784 (e) 0.21 (f) -3 (g) -4 e What is the fourth smallest value in -0.16, -2/1319, 0.7, 3, -51? 0.7 Which is the second biggest value? (a) 1/7 (b) 3 (c) -0.4 (d) 859 (e) 889 d Which is the third smallest value? (a) 5 (b) -1/6 (c) -9201 (d) -1689 b What is the third biggest value in -5/6, -1.2, 1/5, 95, -3, 1/6? 1/6 What is the second smallest value in 77, 11/4, -3435? 11/4 What is the third biggest value in 0.15, -5, 0.3,
{ "pile_set_name": "DM Mathematics" }
/(sqrt(32)*2) + -3. -3 + sqrt(3)/4 Simplify 2*(-1*-2*sqrt(119))/(((sqrt(7) - ((sqrt(7) - sqrt(42)/sqrt(6)) + sqrt(7))) + sqrt(7))*4). sqrt(17) Simplify (((sqrt(17) - sqrt(68)/sqrt(4)*-4) + 4 + sqrt(187)/(-1*sqrt(11)) + 0)*2)**2. 128*sqrt(17) + 1152 Simplify (-5 + (sqrt(1088) + sqrt(1088)*3 + -4 - (sqrt(1088) - (-5 + sqrt(1088) + -5) - sqrt(1088))))**2. -1520*sqrt(17) + 27561 Simplify (-5 + ((sqrt(363) - (sqrt(363) + 1) - sqrt(363)) + sqrt(363) - sqrt(363))*2 + 1 + (sqrt(363) - (sqrt(363) - (sqrt(363) + 1))) + 5)**2. 363 Simplify (sqrt(49)*-1)/sqrt(7)*-3*-5 + 0 + 5*(-1 + sqrt(7)*2). -5*sqrt(7) - 5 Simplify -6*sqrt(3)*2*2 - (sqrt(48)*-3 + (sqrt(3) + -1*sqrt(432))**2). -363 - 12*sqrt(3) Simplify ((sqrt(110) + (2*sqrt(110) - sqrt(110)) + sqrt(110))*4 - (sqrt(110)*1*-5 + sqrt(110)))/(sqrt(1440)*2*5). 2*sqrt(11)/15 Simplify 5*1*((sqrt(70)*2)/sqrt(10) + -2*sqrt(7)*-1 + 5). 25 + 20*sqrt(7) Simplify (3*sqrt(176) + -3)**2 - ((1 + sqrt(1100))**2 + sqrt(33)/(sqrt(3) + 2*sqrt(3))). -277*sqrt(11)/3 + 492 Simplify -2*(-4 + sqrt(1053) + -2)**2 - ((sqrt(208)*-1 - sqrt(208)) + (sqrt(117)*2)/sqrt(9))**2*1. -2646 + 216*sqrt(13) Simplify ((sqrt(208)*6 - sqrt(39)/(-1*sqrt(3)))**2 + 5)*2*5. 81300 Simplify (sqrt(50)/(sqrt(2) + sqrt(2)*-3))/(sqrt(35)/(sqrt(7) + (3*sqrt(7) - sqrt(7)))). -3*sqrt(5)/2 Simplify ((-2*(-2*sqrt(57) - sqrt(57)))/sqrt(3))**2 - (5 + (-2*sqrt(475))**2). -1221 Simplify (-3*sqrt(400)*-2)/(((-2*sqrt(140))/sqrt(10))/sqrt(7)). -30*sqrt(2) Simplify (sqrt(14)/(1*sqrt(7)))**2*1 + sqrt(22)/(sqrt(11)*-1*-2). sqrt(2)/2 + 2 Simplify ((sqrt(88)*3)/sqrt(4) + sqrt(22))/((sqrt(18) + sqrt(288))/sqrt(9)) + 4. 4*sqrt(11)/5 + 4 Simplify ((sqrt(114)*1)/sqrt(6) - sqrt(19)) + -5 + (-4*(sqrt(2299) + sqrt(2299) + sqrt(2299) + 1))**2. 1056*sqrt(19) + 331067 Simplify (-2 + sqrt(7) + (sqrt(7) - ((sqrt(63))**2 + sqrt(7))*-3) + sqrt(7))*2*-3*-2*3. 216*sqrt(7) + 6732 Simplify (sqrt(252)/sqrt(7)*-4*-3)/(sqrt(72)/((sqrt(432)/sqrt(9) + sqrt(48))/sqrt(8) - sqrt(6))). 12*sqrt(3) Simplify (sqrt(162) + -1*sqrt(162)*-6)**2*5 - (sqrt(24) + (sqrt(24) + sqrt(24) + sqrt(288)/(sqrt(48)/sqrt(4)) - sqrt(24)))/(sqrt(192)/sqrt(4)). -3*sqrt(2)/2 + 39690 Simplify (1*(-3 + 5*sqrt(468))*2)**2. -720*sqrt(13) + 46836 Simplify ((((sqrt(77) - sqrt(77)*-2)*3)/sqrt(7))**2 + (3 + -4*2*sqrt(11))**2)*2. -96*sqrt(11) + 3208 Simplify ((3*sqrt(825) - sqrt(825)) + sqrt(825))/(sqrt(3) + (sqrt(3) + sqrt(3) + 2*(sqrt(48) - sqrt(3) - sqrt(3)) + sqrt(3) + sqrt(3) - sqrt(3)))*5. 75*sqrt(11)/8 Simplify (((sqrt(117) - (3*sqrt(117) - sqrt(117)))*-2)/sqrt(9) + 1*(sqrt(13) + sqrt(13) + -2) + sqrt(26)/sqrt(50))**2. -84*sqrt(13)/5 + 5833/25 Simplify (-5*(sqrt(114) + sqrt(114) + -1*sqrt(114))*3)/((sqrt(528)/(sqrt(33)/sqrt(3)))/sqrt(8)). -15*sqrt(19) Simplify (-5*(0 + sqrt(1573) + sqrt(1573) - 5*sqrt(52)))**2*3. 140400 Simplify -3 + (1*sqrt(153))/sqrt(9) - (sqrt(17) + -1 + sqrt(17) + sqrt(17))*4*-6. -27 + 73*sqrt(17) Simplify -5*(sqrt(425) + (sqrt(425) + sqrt(425)*-3)**2 + sqrt(425))*-4 + 4 + 2*sqrt(425)*1. 210*sqrt(17) + 34004 Simplify sqrt(38)/(sqrt(6)/(sqrt(24)/sqrt(8))) - sqrt(95)/((3*sqrt(25) + sqrt(25))/sqrt(5)). 3*sqrt(19)/4 Simplify (-1*sqrt(3969))/(sqrt(847) - sqrt(847)*4) + 0. 3*sqrt(7)/11 Simplify (((sqrt(190) - -2*((2*sqrt(190) - sqrt(190)) + sqrt(190)))*4)/(6*2*sqrt(1440)))**2. 475/1296 Simplify sqrt(18)*-5 + 3 + ((sqrt(450) + (sqrt(450) - (-4*sqrt(450) - sqrt(450))))**2 - sqrt(450)) + -4. -30*sqrt(2) + 22049 Simplify (((sqrt(112) + -1*sqrt(112) + sqrt(112))*3 + sqrt(112))/sqrt(8))/(sqrt(242)*1 + -2*sqrt(50)). 4*sqrt(7) Simplify (sqrt(19) - (sqrt(19) - (1 + sqrt(19))))**2*-5 + sqrt(19) + -2 + (-1*(sqrt(1539)*-2 - sqrt(1539)))**2 + 4. -9*sqrt(19) + 13753 Simplify (6*(sqrt(77) + (sqrt(77)*-3 - sqrt(77))))/(sqrt(847)*-2 + sqrt(847)). 18*sqrt(11)/11 Simplify (((2*sqrt(105) + sqrt(105))*5)/sqrt(5))/(sqrt(21)/(sqrt(12)/sqrt(4)) + sqrt(84)/sqrt(3)). 5*sqrt(3) Simplify 2*(sqrt(11) + (sqrt(11) + (0 + sqrt(11))*1 - sqrt(11)))*6 - (3 + sqrt(1100) + 1 + -5)**2. -1101 + 44*sqrt(11) Simplify sqrt(12)/sqrt(4)*4 - -4*(sqrt(3) + -1) - (-5*(sqrt(108) - sqrt(12)))/sqrt(4). -4 + 18*sqrt(3) Simplify ((sqrt(2548)*-2 + -5)*1*-4)**2. 4480*sqrt(13) + 163472 Simplify (6*(-4 + -1 + sqrt(300) + -2 + (sqrt(300)*4 - sqrt(300))))**2 + 2. -20160*sqrt(3) + 174566 Simplify 6*((sqrt(77) - 4*(sqrt(77) + 1*sqrt(77)))/(sqrt(252)/sqrt(4)))**2. 1078/3 Simplify (((sqrt(1700) + -1)*5*4)**2 + 0)*-1. -680400 + 8000*sqrt(17) Simplify 1*(-1*sqrt(90
{ "pile_set_name": "DM Mathematics" }
est 100. 2400 Round -853.70403 to the nearest 100. -900 Round -79688 to the nearest 10000. -80000 Round -0.000725445 to six decimal places. -0.000725 What is 0.00012948149 rounded to 5 dps? 0.00013 Round -69767.91 to the nearest 1000. -70000 What is -3298678 rounded to the nearest 10000? -3300000 What is -12.680476 rounded to three dps? -12.68 What is -305326.8 rounded to the nearest one thousand? -305000 What is -274654600 rounded to the nearest one hundred thousand? -274700000 What is -2052640 rounded to the nearest one thousand? -2053000 What is -0.0000090698734 rounded to seven dps? -0.0000091 Round 424520800 to the nearest one hundred thousand. 424500000 Round 0.01100093 to 5 decimal places. 0.011 Round 8.9664739 to three decimal places. 8.966 Round -7740.2748 to the nearest one hundred. -7700 Round -0.280853 to 3 decimal places. -0.281 Round 57.76018 to 0 decimal places. 58 What is 0.000065828707 rounded to five dps? 0.00007 Round -4.1483148 to two dps. -4.15 What is -0.069873651 rounded to 3 dps? -0.07 Round -0.00000146384 to 7 decimal places. -0.0000015 What is -89238.15 rounded to the nearest one hundred? -89200 What is -680384100 rounded to the nearest 1000000? -680000000 What is -0.12741552 rounded to three dps? -0.127 Round 15151350 to the nearest one hundred thousand. 15200000 Round 173934.9 to the nearest ten thousand. 170000 Round 0.04645227 to three dps. 0.046 Round -0.008299428 to 5 dps. -0.0083 Round 0.0202545 to three decimal places. 0.02 Round 0.00004393896 to 7 dps. 0.0000439 What is 0.000361837 rounded to six decimal places? 0.000362 Round -0.0000079878 to 6 decimal places. -0.000008 What is -0.05217516 rounded to three dps? -0.052 What is 1303.702 rounded to the nearest 10? 1300 What is -209.47177 rounded to zero dps? -209 Round 0.199704 to 4 decimal places. 0.1997 What is -0.000017160664 rounded to 6 decimal places? -0.000017 Round -0.002175407 to five decimal places. -0.00218 Round -0.000000283098 to seven decimal places. -0.0000003 What is 0.0003745207 rounded to 5 decimal places? 0.00037 Round -0.000001532893 to 6 dps. -0.000002 Round -574219.39 to the nearest 10000. -570000 Round 0.00137023 to 4 dps. 0.0014 Round -0.01223198 to 4 dps. -0.0122 What is 0.046017011 rounded to 3 decimal places? 0.046 What is -9126770 rounded to the nearest 10000? -9130000 What is 16115860 rounded to the nearest ten thousand? 16120000 Round -0.00000026831 to seven dps. -0.0000003 Round -0.03325215 to four dps. -0.0333 Round -70.3676 to the nearest ten. -70 Round 24712.74 to the nearest 100. 24700 Round -0.0002479514 to 4 decimal places. -0.0002 What is 1690172 rounded to the nearest 100000? 1700000 Round 0.00362808 to 5 dps. 0.00363 What is -0.00408043 rounded to 4 decimal places? -0.0041 What is -59.3538 rounded to the nearest integer? -59 What is 0.1204981 rounded to 4 dps? 0.1205 What is 609.318 rounded to the nearest 100? 600 Round 5507463 to the nearest 100000. 5500000 What is 0.354301 rounded to three decimal places? 0.354 Round -1133620 to the nearest 1000000. -1000000 Round -38.9004 to the nearest integer. -39 Round 0.07756129 to 4 dps. 0.0776 What is -10957800 rounded to the nearest 10000? -10960000 Round -12807731 to the nearest 100000. -12800000 Round -0.2646 to the nearest integer. 0 Round -0.0518297 to three dps. -0.052 Round 12.732779 to one dp. 12.7 Round 2.542724 to 2 decimal places. 2.54 What is -11648.02 rounded to the nearest one hundred? -11600 Round -174482000 to the nearest 1000000. -174000000 What is -0.00345712 rounded to 4 dps? -0.0035 What is 14.623843 rounded to 2 dps? 14.62 What is 0.0002993832 rounded to 6 dps? 0.000299 Round -0.00000054204 to six dps. -0.000001 Round -31134.3 to the nearest ten thousand. -30000 What is 941040 rounded to the nearest one hundred thousand? 900000 What is -0.00010113959 rounded to five dps? -0.0001 Round -148456700 to the nearest 10000. -148460000 Round 1403.5367 to the nearest one hundred. 1400 Round -0.06591046 to five decimal places. -0.06591 What is -0.0098387057 rounded to 6 dps? -0.009839 What is -273343.5 rounded to the nearest one hundred? -273300 Round 0.0253 to 3 decimal places. 0.025 What is -5180331 rounded to the nearest 100000? -5200000 What is 16616.78 rounded to the nearest 1000? 17000 What is -330429000 rounded to the nearest 1000000? -330000000 What is 19118100 rounded to the nearest one hundred thousand? 19100000 What is -636941560 rounded to the nearest one million? -637000000 Round -0.000252698 to four dps. -0.0003 What is -145.5438 rounded to the nearest 10? -150 What is -0.0006085081 rounded to 5 decimal places? -0.00061 What is 10.07843 rounded to two dps? 10.08 What is -923.718 rounded to the nearest 100? -900 Round -109.00155 to 1 dp. -109 Round 1976.5 to the nearest 1000. 2000 Round -0.0704158 to two dps. -0.07 Round -0.0003722124 to four dps. -0.0004 Round 2244.34 to 0 decimal places. 2244 What is 0.5873707 rounded to 3 dps? 0.587 Round -121.6652 to the nearest integer. -122 Round -114936 to the nearest 1000. -115000 What is 3067.461 rounded to the nearest 1000? 3000 Round 39.3462 to the nearest 10. 40 Round -28507550 to the nearest one hundred thousand. -28500000 What is 52694.595 rounded to the nearest one thousand? 53000 What is -1683536.4 rounded to the nearest 100000? -1700000 What is -0.43804146 rounded to 3 dps? -0.438 Round -0.0000044472682 to 7 dps. -0.0000044 Round 0.00389541 to 4 decimal places. 0.0039 What is -0.5878763 rounded to one dp? -0.6 What is 53.81176 rounded to the nearest ten? 50 What is -0.00000064867 rounded to 7 decimal places? -0.0000006 What is -0.000695481 rounded to 4 dps? -0.0007 What is 3890300 rounded to the nearest one million? 4000000 What is 3941818.6 rounded to the nearest one million? 4000000 What is -0.3669758 rounded to 4 dps? -0.367 What is 1551412000 rounded
{ "pile_set_name": "DM Mathematics" }
0/15)? 6/17 What is (((3780/(-32))/(-9))/(3/38))/(1315/1052)? 133 What is (-49)/(-35035)*2365*13? 43 What is the value of -14*((-1)/(-6))/(3423/(-67482))? 46 Calculate (-2229)/5201*(-56)/(-6). -4 Calculate 405/(-162)*((4/4)/15)/(25/(-240)). 8/5 What is the value of ((-4)/(-6))/((-23828)/483)*(-2)/1? 1/37 What is the value of (2457/(-1638)*1/(-6))/(5/(-940))? -47 Evaluate 802620/(-17199)*(-6)/(-4). -70 Calculate (154/(-49))/((2340/(-945))/(-13)). -33/2 What is ((27/243)/((-4)/216*4))/((-99)/(-6))? -1/11 What is the value of (-33*58/(-319))/(((-2)/22)/((-5)/(-15)))? -22 What is (-3403*35/(-1435))/(((-16)/4)/(-4))? 83 Evaluate 12/20*900/(-756)*7. -5 Evaluate (42/39)/((-577)/22503). -42 What is the value of 277290/(-170640)*(-16)/(-2)? -13 What is (18/(-3)*-3)/((-3)/(((-253)/11)/23))? 6 ((-87)/((-485460)/62))/(1/12) 2/15 What is the value of (9/(-36))/((-9)/(-12))*243*7/1260? -9/20 What is the value of 56*(-17)/(1156/(-85))? 70 What is the value of ((-651)/(-4092))/(22*3/264)? 7/11 Evaluate ((10/18)/((-1)/(405/(-90))))/(5/168). 84 What is the value of (((-145340)/15665)/(-172))/((-26)/(-4))? 2/241 What is the value of (((-4)/(-10))/(2/(-62)))/(-280*(-77)/13475)? -31/4 What is 2*3/90*5*(-13)/((-1430)/150)? 5/11 What is 9*(3262/932)/(-3*2/4)? -21 44/242*(-231)/(252/(-12)) 2 (5/(-690))/(17*81/74358) -9/23 What is -1*25/10*12616/830? -38 Calculate -4*125/80*7*14/(-490). 5/4 What is the value of (-117)/65*(-1)/(3/10)*(-1884)/5652? -2 What is the value of ((-6)/(-507)*13)/(2356/988)? 2/31 Evaluate ((-3689)/168)/(-17)*((-10)/(-2))/((-825)/660). -31/6 Calculate (((-41292)/465)/37)/(2/15). -18 ((-23)/((-1449)/(-216)))/(140/(-490)) 12 What is (-10*2)/(3*2/(-30)*(-8750)/(-4200))? 48 Calculate 75/(-10)*(-3072)/320. 72 What is (-23100)/16632*24/10? -10/3 Evaluate ((-40)/3)/(((-123)/(4305/(-14)))/((-6)/5)). 40 (-32214)/3835*(-15)/2 63 Calculate (((-125)/50)/(9/((-108)/(-1185))))/((-2)/2). 2/79 ((42/(-12))/7)/(390/(-2535)) 13/4 What is the value of ((-948)/2212)/(189/(-392))? 8/9 What is 1/(-2)*(-78)/((-1950)/75)*(-14)/15? 7/5 (126*47/3948*(-1)/(-5))/((-42)/(-24)) 6/35 ((28613/71)/(-1))/(-13) 31 What is the value of (35/84*-3)/(1755/36504)? -26 Evaluate ((-40)/3)/(3173/19038). -80 What is the value of (-651)/(-2852)*-46*1/(-7)? 3/2 What is 660/(-420)*1785/(-1870)? 3/2 Evaluate (-2*1)/(92/(-506)*110/(-20)). -2 Evaluate 1080/594*363/55. 12 What is 990/(-10)*-3*4/(-27)*(-1386)/1848? 33 Evaluate (-9630)/17820*33*6. -107 (-1)/(-20)*(-25504)/(-12752) 1/10 Evaluate 38*(2*-14*(-13)/1274)/(24/(-7)). -19/6 Evaluate (-35)/(-10)*((-1)/168*4)/(20/20). -1/12 What is the value of -2*(-6)/12*28/35*-12? -48/5 Calculate (44/306)/(6886/33804). 12/17 What is ((-8)/(-14))/2*2900709/(-20214)? -41 Evaluate 2/(-2)*((-8100)/90)/2340. 1/26 Calculate -20*(6688/1540)/76. -8/7 144/90*(-1440)/64*3/(6/(-2)) 36 ((-2)/2)/(33*300/3960) -2/5 ((-14)/6)/(35/(-600)) 40 23/6*4*(-1215)/(-405) 46 3*5/(-15)*(-488)/305*(-375)/12 -50 What is the value of (-4)/16*150/(-375)*-5? -1/2 Evaluate ((-140013)/(-5358))/331*12/1. 18/19 -9*(-23)/598*91*2 63 What is the value of (-2415)/24*8/20*(-12)/(-42)? -23/2 (22/63*-3)/(214/(-2247)) 11 What is (532/8)/19*(-13)/(455/(-90))*-6? -54 Calculate (168/8)/((-5943)/(-20659)). 73 83/((-3237)/429)*(-84)/22 42 Evaluate ((-326)/815)/(2*(66/6160)/((-18)/3)). 112 Evaluate 47/(3713/(-237))*15/(-1)*(-4)/18. -10 Calculate ((-1584)/(-120)*100/120)/2. 11/2 What is the value of 9/12*-54*43/31347? -1/18 Evaluate (41008/33319)/((-2)/26). -16 (-9)/15552*-1512*12/35 3/10 Calculate (-9)/(-63)*(-3304)/1416. -1/3 Calculate (-299)/(-897)*6*136/(-8). -34 900/260*13*6/(-18) -15 Calculate (44265/79677)/(10/168). 28/3 Evaluate 70*18/540*(-2)/(-84)*2. 1/9 What is the value of ((-2)/(-22))/(144/528*18/(-27))? -1/2 Calculate ((-2)/(-40))/((-60)/(-900))*124*(-2)/6. -31 Calculate (3*(-2464)/3564)/((44/24)/(-11)). 112/9 What is ((2/633)/((-51)/(-102)))/((-12)/18)? -2/211 What is (368/152)/(-23)*(-3762)/90? 22/5 Calculate (756/32)/(966/276). 27/4 Calculate ((-2)/(-2))/((-40)/(92720/(-61))). 38 (20*(-174)/5510)/(((-2)/(-4))/(21/(-28))) 18/19 What is the value of (-75)/(-110)*448/(-560)? -6/11 Evaluate 32/84*-21*-1*(-51)/(-6). 68 What is the value of (-3)/((-456)/4)*1134/(-567)? -1/19 What is the value of (0/(-2))/(((-2)/(-4))/(30/(-60)))? 0 What is (4/(-10))/((-2)/(16/(-60))*150/(-1875))? 2/3 What is (30/(-8)*34/(-255)*1*-5)/(-10)? 1/4 What is the value of (20/9)/((-23168)/130320)? -25/2 Calculate 3*(1/2)/(-175*70/10500). -9/7 Calculate 6210/(-7452)*(-336)/10. 28 What is the value of 27272/1738590*-2*34/(-8)? 2/15 Evaluate ((-1)/(2/(-2)))/((200/(-2000))/((-2)/(-8))). -5/2 What is the value of (11/((-165)/(-10)))/((-32)/648)*(-26)/
{ "pile_set_name": "DM Mathematics" }
8*(k**9*k**2)**34 assuming k is positive. k**322 Simplify (y**(-5)*y)**(1/23)*(y*y**(-24)/y)/y**(-19/5) assuming y is positive. y**(-2343/115) Simplify (q/q**(2/7)*q)**28/(q*q*q**(-2/7)/q)**(-22)*q**(-5)*q**(2/3)*q**(-1/9)/q*q**0 assuming q is positive. q**(3671/63) Simplify (k/k**(3/7)*k*k*k**3)/(k**(-3/5)/(k/(k/k**1*k)*k))*(((k*k**(-4))/k)/k*k*k**1)/(((k**(-3)/k)/k*k)/(k/(k*k**(-6)))) assuming k is positive. k**(496/35) Simplify (((d*d**27*d/(d*d*d**(-26)))**(-5/6))**(-7/5))**(-16) assuming d is positive. d**(-2968/3) Simplify ((s*s**(-5))/s*s**3)/(s*s/(s*(s*s**(-2)*s)/s)*s**(-2/11))*(s**5*s/s**(-3/8))/((s*s*s**4/s*s*s)/s**(1/4)) assuming s is positive. s**(-369/88) Simplify (f*((f/(f*f/f**(-5/8)*f))/f)/f*f/(f/(f*f**31))*(f*f**(-44)*f*f)**28)**(-1/8) assuming f is positive. f**(8957/64) Simplify ((m**(-2/5))**(3/11))**7/((m/(m/(m*m**(-7)))*m*m/(m*((m*m/(m*m/(m**(-1/4)*m*m))*m)/m)/m)*m*m)/(m**(4/5)*m**(5/7))) assuming m is positive. m**(6931/1540) Simplify (((k**(-13/4)/k)/(k**(-26)*k))**(-16/3))**(4/21) assuming k is positive. k**(-1328/63) Simplify ((i*i**(6/11)*i)/i)/((i**3/i)/i)*(i/(i*i*i*i/(i/(i/i**(1/4)))*i))**(9/10)*(i**(-1/2))**(-42)*(i**(-1))**(2/139) assuming i is positive. i**(222085/12232) Simplify (r**(-8)*(r*r**(-11))/r*((r*r**(-8))/r)/(r/((((r*(r/(r/(r/(r/r**(2/11)))))/r)/r)/r)/r)))**2 assuming r is positive. r**(-678/11) Simplify (i**1*i)**(9/5)*i**(-2/9)/(i/(i/((i/i**3*i)/i*i)))*(i**1)**(-44)/(i**(-3/4)*i**(1/3)) assuming i is positive. i**(-7057/180) Simplify (((z*z/(z**9/z))/z)/(z*z*z/(z**(3/7)*z)))**(5/2)/(z**(-7)/(z/(z**6/z))*(z**(-2/9)*z)/z**(-6)) assuming z is positive. z**(-1588/63) Simplify t*t/(t/(t*t*t**19))*t*t*t/(t*t**(-1/56))*t**(-5)/t**(8/5) assuming t is positive. t**(4877/280) Simplify (c*c**(4/7)*((((c**(-2)/c)/c)/c)/c)/c)**(-4/33)*(c**(2/5)*c*c*c*c/c**(-4/5))**(-43) assuming c is positive. c**(-257498/1155) Simplify ((z*(z/(z**(-1/3)*z))/z)**(-13/5)/(z**0)**(-1/2))/((z/z**(-2/17)*z*(z*z**3)/z*z)/(z**(-1))**20) assuming z is positive. z**(-6881/255) Simplify (s/s**(-6/13)*s/(s/(s/(s*s/((s**13*s)/s)))*s)*(s**(9/4)*s*s)**(-2/31))**9 assuming s is positive. s**(88407/806) Simplify ((((c*c**(4/5))/c)/c)/(c/(c**(-1)/c)))/(c**(-1)/c*(c**(-1/4)*c)/c)*((c/c**1)/c)**(-3/14)/((c*c**4)/(c**(-1)*c)) assuming c is positive. c**(-803/140) Simplify (((b*b*b**(-7))/((b*b**(-20)/b)/b))/(b**10)**12)**(-5/9) assuming b is positive. b**(520/9) Simplify (t*t**2*t/((t/((t*(t/t**(2/3))/t)/t*t*t)*t)/t)*(t**(1/4))**48)/((t**(-1))**(-32))**28 assuming t is positive. t**(-2639/3) Simplify ((z**(-3)*z**(-1/2)*z*((z*z**(-3))/z)**(4/7))**(-24))**(28/9) assuming z is positive. z**(944/3) Simplify ((q*q/(q*(q**(1/3)*q)/q))**2)**(-21)/(((q*q**0)/q)**28/(q/((q/(q/q**(-2/5)*q*q))/q))**(-22)) assuming q is positive. q**(-624/5) Simplify ((i/(i*i**(1/7)*i)*i)**36/((i*(i*i**(-7))/i*i)/(i**(-3/14)*i*i)))**33 assuming i is positive. i**(759/14) Simplify (((k*k/k**(-34))**30)**(1/6))**(-2/59) assuming k is positive. k**(-360/59) Simplify ((j*j**(1/17))/j**16*(j/(j/j**(1/2))*j)/j*j*j*j*j*j**(-10))**(-1/49) assuming j is positive. j**(695/1666) Simplify (((f**(-5/2)*f)/f*f*f**4)/(f**(-2/3)*f**2))/((f/(f*(f*f/f**(-2/19)*f)/f))/((f*f**3)/f)*f**(-1/7)/(f*f/f**1)) assuming f is positive. f**(5917/798) Simplify ((x**(-1/3))**(-12/13)/((x/x**(-3/4))/(x/x**(-14))))**(6/11) assuming x is positive. x**(2115/286) Simplify (y/((y*y*(y*(y*y**16*y)/y)/y*y)/y))**(1/81)*(y**32*y)/(((y/(y*y**(-33)))/y*y)/y*y) assuming y is positive. y**(-2/9) Simplify (d/d**3*d/(d**(-3)/d))**(1/55)/((d**(-1/10)*d**(-1/5))/(d**(3/2)*d/d**(1/2))) assuming d is positive. d**(259/110) Simplify (l**(-2/27)/(l*(l/l**0)/l))/(l/l**(-2/5))**20*l*l**6*l**(-2)*l*l**5/l**(-3/2) assuming l is positive. l**(-895/54) Simplify (((h/(h/(h/(h*h**(-5)))*h)*h)/(h**(1/2)*h)*((h**(-2)/h*h)/h*h)**(-36))**(-3))**(-20/7) assuming h is positive. h**(4530/7) Simplify (f/(f/f**(18/11))*f**(-7)*f*(f*f**(-2/5)*f)**2)**42 assuming f is positive. f**(-2688/55) Simplify (a**(-37)*a)**(-38)/(a**(-13)*a**(-39/2)/a*a) assuming a is positive. a**(2801/2) Simplify (((p**(1/5)/p*p/(p**6*p))**33)**(-7))**(-8) assuming p is positive. p**(-62832/5) Simplify ((g/g**(-13))/g*g**34*g*g*g**(-1/30)/(g*g**18*g))**(-9) assuming g is positive. g**(-2607/10) Simplify ((h**(21/
{ "pile_set_name": "DM Mathematics" }
least m? False Let o = 98/13 + -399/65. Suppose -112 + 114 = w. Is o at least w? False Let m = -52 + 34. Let b be (-3 - (-10)/3) + (-14)/m. Is 0 at most as big as b? True Let x = -1/1300 - -15081/1300. Which is smaller: 12 or x? x Suppose -4*q + 246 = -5*k + 1301, -3*k + 655 = 2*q. Is k at least 214? True Suppose -4*j + 10*r - 11*r - 25 = 0, r + 5 = 0. Which is smaller: -31 or j? -31 Suppose 28 = -3*m - m. Let w(p) = -p**3 - 8*p**2 - 10*p - 3. Let f be w(m). Let j be f/(-42) - 148/(-378). Which is bigger: j or 0? 0 Let d be 292/(-700) - (-24)/56. Let n = d + 1567/700. Which is greater: n or 2? n Let z(r) = r + 7. Let v(b) = -1. Let d(q) = -2*v(q) + z(q). Let x be d(-8). Let c = -277/2331 + 2/259. Is x equal to c? False Let a(y) = -112*y**2 + 13*y + 29. Let n be a(-2). Are n and -443 unequal? True Let g = 4 + -1. Suppose g*o + 3 = s + o, 3*s + 5*o + 2 = 0. Is s > 3/13? True Let x = 409 + -443. Let l be (162/15)/((-3)/10). Let p = x - l. Is p equal to 1? False Let g = 639/1016 + -1/254. Suppose -18 = 2*f - 4*m, 0*m - m + 6 = f. Let r = g - f. Is 0 > r? True Suppose -2*t + 0*n - 3*n + 39 = 0, 4*t - 58 = -2*n. Let f(y) = 3*y - 35. Let g be f(t). Which is greater: 0 or g? g Suppose 6*y = 3*y. Let o be (-13814)/7092 + 2 + 0. Let c = -2/591 - o. Is c at least as big as y? False Let x(d) = 30*d - 269. Let f be x(9). Does -163 = f? False Let q be 30*(4 + -2) + 7 + -6. Which is smaller: 60 or q? 60 Suppose 3*i + 0 = 9. Let d = i - 2. Let o be (6/d)/((-6)/(-2)). Which is smaller: -18 or o? -18 Let k(j) = -j**2 + 3*j + 9. Let p be k(4). Suppose -3*s + 0*s = -6. Suppose 0 = p*f + 5*w + 30, 3*f + s*w = -12 - 5. Is -4 less than or equal to f? False Let w(p) = p**2 + p. Let l be w(-8). Let m = l - 54. Which is smaller: 1/2 or m? 1/2 Let f(x) = x - 11. Suppose -5*s + 2*i = -26 - 2, 2*s = 2*i + 16. Let m be f(s). Is m greater than or equal to -10? True Let m = 2103 - 2086. Which is greater: m or 16? m Suppose -1 - 5 = -3*s. Let m be s + 2 + -3 + -2. Which is bigger: -2/119 or m? -2/119 Let p = 463/2465 - 57/85. Let a = p - 76/203. Let q(b) = b + 3. Let s be q(-4). Which is smaller: s or a? s Let a(b) = b**3 + 26*b**2 + 80*b - 9. Let f be a(-4). Is f less than 145/6? True Suppose 4*o - 2*o = y + 26, 0 = -5*y - 10. Suppose -10*h - 2*h - o = 0. Do h and -1/11 have different values? True Let t(w) = 5*w - 166. Let g be t(27). Is g greater than 0.01? False Let t = 39/31 + 557/124. Which is smaller: t or 7? t Let g(u) = -2*u - 6. Let o be g(-5). Let f be 10/(-4) + 2/o. Suppose 0 = 2*x - 4*c + 6, 5*x - 4*c = -3*c - 6. Which is greater: x or f? x Let z = 69656 - 13095105/188. Let s = z - 5/4. Is s less than -1? False Suppose -a - 3*c = -364, 5*a - a = -2*c + 1496. Is 375 < a? True Suppose 4*m = -0*m - 36. Suppose 0 = -20*h - 47*h - 2*h. Which is bigger: h or m? h Let z(g) = -2*g**3 + 2*g**2 - 2*g + 1. Let s be z(1). Do -5/79 and s have different values? True Let p = -5077/25 - -203. Suppose -7*h + 3*h = 0. Let l be -1 + (-3 - (-5 + h)). Which is greater: l or p? l Suppose 2*r - 3*h = 0, 9*r - 14*r - 3*h - 42 = 0. Suppose 0 = -y - 3*y - 20. Is r >= y? False Suppose -2*c - 38*c = -56440. Which is smaller: 1410 or c? 1410 Let f be (-1)/(-6 - 1) + (-1107)/399. Which is smaller: -4 or f? -4 Let g(z) = -z**3 - 4*z**2 + 18*z - 10. Let d be g(-8). Let m be (-2 + d/45)/(1/(-12)). Suppose 4*w + 12 = -4. Which is smaller: w or m? w Let p = -10 - -20. Let r(z) = 2*z - 18. Let h be r(p). Do 12/7 and h have different values? True Let d(m) = -5*m + 39 - 55 + 4*m + 23. Let j be d(3). Which is bigger: 14/5 or j? j Let j(c) = c**3 - 10*c**2 + 11*c + 6. Let b = -22 + 31. Let t be j(b). Suppose -2*r + 4*d = -6*r + t, -5*r - 3*d + 20 = 0. Is 0 > r? False Let j be (-18 + 4)*1*-1. Let o(g) = g**3 - 13*g**2 - 15*g + 15. Let z be o(j). Let m be ((-4)/19)/(-1 - z). Which is smaller: 0 or m? 0 Let t(g) = g**2 + 20*g + 9. Let m be t(-17). Let r be (2/4)/((-7)/m). Suppose r*h + 56 = -h. Is h greater than or equal to -14? True Let c = -114.59 - -123.1. Which is greater: -1/2 or c? c Let l(x) = x**3 - 29*x**2 - 34*x + 171. Let w be l(30). Suppose 193 = 4*y - 4*b - 23, 0 = -3*b - 12. Which is smaller: y or w? y Suppose -64 + 141 = 7*x. Let d = -11 + x. Is d smaller than 0? False Let o(s) = -s**2 + 8*s - 10. Let q be o(2). Suppose 4*d - 3*d - q = -3*x, 0 = 2*x - d + 7. Suppose 0 = 2*r - r + 1. Do r and x have the same value? True Let g = 119 - 117. Suppose -15 = 5*c + 5*y, 4
{ "pile_set_name": "DM Mathematics" }
1*(-158 - 1)*p a composite number? True Suppose -4*b + 25 - 5 = 2*n, 4*b = -4*n + 20. Let j be (3 - (-258)/b)*-5. Is 16/88 + j/(-11) prime? False Suppose 2*d + 1557 = 3*y, -2*y + 415 = -4*d - 615. Is y prime? True Let p(g) = 33*g**2 + 5*g + 17. Let l(y) = -16*y**2 - 2*y - 8. Let i(j) = 5*l(j) + 3*p(j). Is i(5) a composite number? True Suppose 0*m + 240 = 2*p - m, -3*p + 366 = -3*m. Suppose 3*s - p = s. Is s composite? False Let t(o) = 10*o**2 + 14*o + 12. Let u be t(-9). Suppose 0 = 4*a - 2*m - 2*m - u, -3*a - 3*m = -552. Is a prime? True Let l(t) = -6*t - 5. Let j(b) = 5*b + 6. Let q be ((-9)/6)/((-1)/(-2)). Let w(g) = q*j(g) - 4*l(g). Is w(7) prime? False Let k(t) = t**2 - 16*t + 5. Let g be k(8). Suppose 0*c - 342 = -3*c. Let z = c + g. Is z prime? False Suppose 0 = -b, 0*b - 4*b = -5*g - 1110. Let r = g - -377. Is r a prime number? False Let f(q) = 50*q**2 + 2*q - 1. Suppose 3*b - 3 = 6. Suppose c - 6 = -b*g - g, -3*c + 6 = 0. Is f(g) composite? True Suppose -2*l - 2*f + 964 = 0, 4*f - 48 - 425 = -l. Is l composite? True Let i = 129 + -90. Suppose 0 = -g + i + 16. Suppose 2*o - g = -5*s, -3*o - s + 65 = o. Is o a prime number? False Suppose -4*w = 3 + 1, -3*w + 1506 = 3*o. Is o composite? False Let c = -17 - -30. Let f = -8 + c. Suppose -4 = -f*n + 91. Is n a prime number? True Let f be (-1)/((-2)/96*3). Let y(m) = -4125*m**3 - 2*m**2 + m. Let n be y(1). Is n/(-10) + f/40 a prime number? False Let j = -544 - -795. Is j composite? False Suppose 9 = d - i + 4*i, 0 = -4*d - 3*i + 27. Let j = -45 + d. Let u = j + 152. Is u a composite number? False Let t(w) = -w**3 + 5*w**2 + 7*w - 2. Suppose 2*c - 17 = -c + z, -2*z = -2. Let y be t(c). Suppose -405 + 97 = -y*k. Is k composite? True Suppose 4*q - 5*z + 11 = 0, 3*z - 5 = 5*q - 1. Let x be (2/6)/(q/537). Suppose -3*t + 166 = -x. Is t a composite number? True Let d(v) = 105*v + 3. Is d(2) a prime number? False Let z(o) = -o**3 + 23. Let h be 4/18 + 6/(-27). Is z(h) a prime number? True Let o = -19 - -15. Is ((-934)/3)/(o/6) a prime number? True Let k(j) = 2*j. Let s(y) = -y. Let t(z) = -3*k(z) - 5*s(z). Let r be t(1). Is (-7)/((-21)/162) - r a composite number? True Let r be (-1)/(2/(1 + 243)). Let g = -195 - r. Let p = 150 + g. Is p composite? True Let b = -6 - -8. Let a be (7/(-21))/(1/(-18)). Is (b/(-4))/(a/(-108)) composite? True Suppose -15*r + 16*r = 337. Is r a composite number? False Let x = -11 - -3. Let w(k) = -k**3 - 5*k**2 - k + 9. Is w(x) prime? False Suppose 6 = 3*k - 0*k. Suppose 9 = 4*o - 5*w + 55, o - k*w = -13. Let y = 23 + o. Is y composite? True Suppose 4*t + 2 = 5*k - 2, 0 = -k + 3*t + 3. Is k - 1114/(-6 - -4) composite? False Let v(l) = 90*l**2 + 7*l + 8. Is v(-3) composite? False Let g = -21 - -86. Is g prime? False Suppose 6*m - 4*m = 296. Suppose -13 + m = 5*h. Suppose 3*n + w - h = 4*w, 4*n - 5*w = 34. Is n a prime number? True Let a(n) = -n**3 + 3*n**2 + 5*n - 3. Let u be a(4). Let y(h) = 192*h**3 - 2*h + 1. Is y(u) a composite number? False Let v(o) = o**2 + 12*o - 3*o**2 + o**2 - 15. Let z be v(10). Suppose 0 = -3*h + 2*f + 12, 0*f + 20 = z*h - 2*f. Is h prime? False Suppose -7*c + 5*c = -358. Is c a composite number? False Let c(k) = -18*k + 1. Let j be ((-18)/(-8))/((-3)/8). Is c(j) a composite number? False Is 2587/11 - (-14)/(-77) a composite number? True Is 0 + (-124 + -3)*-7 composite? True Let n(w) be the second derivative of -31*w**5/20 + w**4/6 - w**3/2 - 3*w**2/2 - w. Is n(-2) composite? True Let j(q) = 24*q - 1. Let g be j(6). Let v be 218 + (4 - (4 - 4)). Let i = v - g. Is i composite? False Let n(z) = 3*z**2 + 2*z + 1. Let t(i) = -i + 1. Let m be t(4). Let w(c) = -c**3 - 3*c**2 + 4. Let k be w(m). Is n(k) a prime number? False Suppose -3*j - 6 = 2*q + 1, 3*j = -3*q - 6. Let f be 0 - (q - 1) - -29. Suppose 0*t - l + 6 = t, l = 4*t - f. Is t a prime number? True Let i = 11 + -7. Let u be (-162)/i + 2/(-4). Let h = 78 + u. Is h a prime number? True Let i = -3 + 3. Suppose 0 = -4*a - i*a. Suppose a = -4*f + 265 + 51. Is f a composite number? False Suppose -x = m - 5*m + 643, -4*m + 3*x = -641. Suppose -5*r + m = -474. Is r composite? False Let j = 2 + -2. Suppose -n = -j - 1, -4*r + 5*n = -223. Suppose g + 2*g = r. Is g composite? False Suppose -3*r - 117 = -1017. Suppose r = 4*v - 4*y, -v - 4*v - 5*y = -415. Is v a composite number? False Suppose 4*j = 490 + 18. Is j a composite number? False Suppose 5*k + 15 = -5. Let a be 142/(-3) - k
{ "pile_set_name": "DM Mathematics" }
0 In base 5, what is -2 + 10303? 10301 In base 13, what is 163 + -2? 161 In base 16, what is 1 - -8a? 8b In base 11, what is 873 - 3? 870 In base 12, what is -78 - -4? -74 In base 14, what is -9 - -49? 40 In base 12, what is 2 + -441? -43b In base 16, what is -45e - 0? -45e In base 4, what is 2 + 1331? 1333 In base 15, what is -c + 2c4? 2b7 In base 5, what is 0 + -130? -130 In base 2, what is 110000 + 11100? 1001100 In base 6, what is -2 - -1434? 1432 In base 7, what is 4220 - 3? 4214 In base 5, what is -144 + -3? -202 In base 3, what is 12 - 112? -100 In base 5, what is 10 + -111? -101 In base 6, what is 130 + 32? 202 In base 5, what is 22431 - -12? 22443 In base 10, what is 4024 + -2? 4022 In base 3, what is -200000 - -10? -122220 In base 10, what is -110 - 3? -113 In base 15, what is -36b + -e? -37a In base 3, what is 112000200 + 1? 112000201 In base 14, what is acc - -6? ad4 In base 16, what is -2d + 5? -28 In base 15, what is 21 + c9? ea In base 12, what is -1a3 + -3? -1a6 In base 7, what is 51 + -1335? -1254 In base 12, what is -3 + -b5? -b8 In base 11, what is -10a5 + 2? -10a3 In base 4, what is -32 - 3? -101 In base 15, what is -389 + 0? -389 In base 2, what is -11 - 1100110101? -1100111000 In base 2, what is 111110101011 - 10? 111110101001 In base 14, what is -5 - -715? 710 In base 8, what is 5 + -43? -36 In base 7, what is -33 + -461? -524 In base 11, what is -328 - -5? -323 In base 16, what is -1 + 1? 0 In base 4, what is -10 + 1031312? 1031302 In base 11, what is -18a - -6? -184 In base 16, what is -f - 48? -57 In base 10, what is 16 + 5? 21 In base 8, what is -105 + -1? -106 In base 12, what is -427 + -2? -429 In base 3, what is -12021 - 121? -12212 In base 9, what is 42 - 28? 13 In base 16, what is 31 + 1? 32 In base 15, what is 2 - -cc? ce In base 6, what is 140 - -42? 222 In base 5, what is 3 - 23343? -23340 In base 10, what is -10 - -13? 3 In base 5, what is 1114 - -341? 2010 In base 4, what is 123 - 1003? -220 In base 10, what is -5 - -314? 309 In base 6, what is -3154 + 4? -3150 In base 13, what is 2094 + -4? 2090 In base 5, what is 4203 + 4? 4212 In base 14, what is 1a181 - -1? 1a182 In base 8, what is -11 - -24? 13 In base 5, what is 111003 + 4? 111012 In base 8, what is -75 - -3? -72 In base 15, what is -4 - 17? -1b In base 6, what is 3034 - 4? 3030 In base 3, what is -121210 + -12? -121222 In base 10, what is -48 - 37? -85 In base 8, what is 1 + 1310? 1311 In base 8, what is -123 - 0? -123 In base 4, what is -1 - -3323? 3322 In base 15, what is 168 + 2? 16a In base 9, what is -184 + 1? -183 In base 11, what is -5 - 468? -472 In base 12, what is 268 - -1? 269 In base 10, what is 8 - -31? 39 In base 6, what is 2 - 34? -32 In base 11, what is 0 - -89? 89 In base 9, what is 7 - -1451? 1458 In base 9, what is 3 + -4? -1 In base 10, what is 2 - -52? 54 In base 2, what is 1010 - -1000000000? 1000001010 In base 7, what is -365 - 0? -365 In base 8, what is -455 + 33? -422 In base 3, what is -2 + 200? 121 In base 4, what is 323 - 12? 311 In base 14, what is -1 - 5? -6 In base 12, what is 24 + -2? 22 In base 13, what is 226 + -1? 225 In base 13, what is 3388 - -3? 338b In base 6, what is -12 - -25? 13 In base 9, what is -16514 + -2? -16516 In base 9, what is 66 + -125? -48 In base 16, what is 0 - 99? -99 In base 16, what is 1 - -44? 45 In base 14, what is -cc + 1? -cb In base 15, what is 372 + -2? 370 In base 15, what is 112 - 5? 10c In base 13, what is -12 - 4? -16 In base 15, what is -2 + 48a? 488 In base 3, what is -11001 - -102? -10122 In base 6, what is 101532 + -5? 101523 In base 11, what is -13 + -6? -19 In base 8, what is -510 + -3? -513 In base 4, what is 3 + 223? 232 In base 15, what is 1e + -4c? -2d In base 8, what is -1 + -141? -142 In base 5, what is 3 + -12012? -12004 In base 6, what is 314 + 22? 340 In base 7, what is 1 - 3322? -3321 In base 14, what is -18 + 47? 2d In base 6, what is 10 + 4131? 4141 In base 15, what is 5e + -72? -13 In base 7, what is 52 + -142? -60 In base 6, what is 103 - 10? 53 In base 14, what is 5d - 4? 59 In base 2, what is -110011 - -100101? -1110 In base 3, what is 0 + -122002? -122002 In base 3, what is 12 - 202111? -202022 In base 9, what is -504 + -6? -511 In base 14, what is a7 - -4? ab In base 14, what is 2070 + 0? 2070 In base 7, what is -4 + -10603? -10610 In base 14, what is b51 - 5? b4a In base 9, what is -5 - 536? -542 In base 9, what is 2464 + 0? 2464 In base 5, what is 2 - -2342? 2344 In base 9, what is -1350 + 2? -1347 In base 4, what is -21211 - 10? -21221 In base 12, what is 0 - -114b? 114b In base 7, what is -5 - 51? -56 In base 2, what is 0 - 11110001001? -11110001
{ "pile_set_name": "DM Mathematics" }
e) -106 c What is the fourth smallest value in -0.1, 1/11, -5, 2/3, -0.0998, 2/5? 1/11 Which is the third smallest value? (a) 4 (b) 0.4 (c) -4 (d) 0.5 (e) 2 (f) 103 d What is the second biggest value in 27, -5, -3/8, -54? -3/8 What is the fifth biggest value in 3/4, 3, -0.2, -0.3, -3/7, 23.8? -0.3 What is the second smallest value in -0.07, -0.4, 20, 0.1? -0.07 What is the fifth smallest value in -3/2, 524, -5/11, 4, -0.3? 524 What is the fourth biggest value in 142, -11, 4/5, 5, -0.3? -0.3 What is the fifth smallest value in -0.4, -6, 0, 15, -19.7? 15 What is the fifth biggest value in 3, 0.22, -1/15, 2/3, -7? -7 What is the fourth biggest value in 5, -2/11, 2.3, 232? -2/11 Which is the second smallest value? (a) 153 (b) 1/5 (c) 21 (d) -1 b What is the third biggest value in 4/7, -28, 4, -1? -1 What is the fourth smallest value in -52/5, 0, -2/11, -5, -2, 13/17? -2/11 What is the second biggest value in 3/11, -13, -2/5, -2/7? -2/7 What is the biggest value in 4, 2/3, -2/47, -96? 4 Which is the biggest value? (a) 8253/58 (b) 3 (c) -3 a What is the second biggest value in -1, 152, -0.032, -2.1, 3? 3 Which is the biggest value? (a) -12 (b) 3 (c) -0.6 (d) 3/4 b What is the third biggest value in 4, -35, 29, 2/5? 2/5 Which is the fifth smallest value? (a) -5 (b) 2.6 (c) -24 (d) 31/11 (e) 3 e What is the fourth smallest value in 0, 0.8, -1/22, 1/3, 987? 0.8 Which is the third smallest value? (a) 5 (b) -1/3 (c) 187 c What is the third smallest value in -92, -0.01, -0.4, 0.3, 0.4, 14/5? -0.01 Which is the biggest value? (a) 8.42 (b) 1 (c) -0.1 a What is the fifth smallest value in 2, -10, 5, 30, -1/43? 30 What is the biggest value in -11, 0.077, -0.5, 2/3? 2/3 What is the fifth biggest value in -5, -1, 38/7, 4, -4/7? -5 Which is the second smallest value? (a) -7/4 (b) 0.1792 (c) -2 (d) 5 a What is the third smallest value in 7, -0.7, 110, -0.5? 7 What is the smallest value in -18, -0.1, -0.06, 4712? -18 What is the third biggest value in 4, -5/4, -460? -460 Which is the biggest value? (a) 0.3 (b) -154935 (c) 0.06 a Which is the second biggest value? (a) 1.6 (b) 312 (c) -1.4 a Which is the biggest value? (a) -5 (b) -4/49 (c) -1/11 (d) 0 d What is the third biggest value in -5, 0.06759, -3? -5 What is the second biggest value in -3/4, 15, 0.6, -8.7? 0.6 What is the fifth smallest value in 4, 5, 2/3, -4, -227? 5 Which is the smallest value? (a) -10 (b) -2/2711 (c) 5/2 (d) -2/3 a Which is the second smallest value? (a) 0 (b) -2/3 (c) -2 (d) -0.3 (e) -13/21 b What is the third biggest value in 2487, -1, -0.3, 3? -0.3 What is the second smallest value in -5, 1, 0.06, -2/9, 5/4, 16/7? -2/9 What is the second biggest value in 30/2021, -55, -3? -3 Which is the fifth biggest value? (a) 19 (b) 12 (c) 0 (d) -3 (e) 3/2 (f) -0.8 f What is the fourth biggest value in 258, 613, 0, 2? 0 Which is the third biggest value? (a) 0.4 (b) 25/44 (c) -3734 c What is the smallest value in -21, -0.05, 28, 1/35? -21 Which is the fourth biggest value? (a) -38 (b) 0.1 (c) 8603 (d) 0.3 a Which is the biggest value? (a) -5 (b) 2 (c) -1 (d) -0.1 (e) -390/121 b Which is the third smallest value? (a) -0.0425 (b) 1/3 (c) 2 (d) 5 (e) 3 c What is the fourth biggest value in 0.4, -4, 0, -10, -0.1, 66? -0.1 Which is the smallest value? (a) 44 (b) 1/6 (c) 355 (d) 0.3 (e) -3/4 (f) -5 f What is the second biggest value in -21, 0.637, 1/2? 1/2 Which is the second smallest value? (a) 6 (b) 1/3 (c) 0.221974 b What is the fourth biggest value in 0.518, -2/11, 4.99, 3/7? -2/11 What is the fourth smallest value in 1/3, 2/9, 10/11, -2/5, 0.3? 1/3 Which is the smallest value? (a) 3/58 (b) 5 (c) -3.064 c Which is the second biggest value? (a) -23 (b) 0.7 (c) 1/19 (d) 4 b What is the smallest value in -3/55, 14/13, -51? -51 Which is the smallest value? (a) -0.1 (b) -794 (c) -2/25 b What is the third biggest value in -0.7, 6.9, 3, -24? -0.7 Which is the second smallest value? (a) -2 (b) 245251 (c) 8 c Which is the sixth smallest value? (a) -1/9 (b) 0.34 (c) 0.18 (d) -1/3 (e) -1/6 (f) -2/3 b Which is the third smallest value? (a) -13 (b) -3 (c) 29 (d) -4 (e) 5 b Which is the smallest value? (a) -71 (b) -2/13 (c) 0.1 (d) 23 a Which is the third smallest value? (a) -0.04 (b) -0.5 (c) 11342 (d) 1/6 d What is the third biggest
{ "pile_set_name": "DM Mathematics" }
**2 - 2*f + 1. Let d be l(u). Let o(p) = d - 9 + 2*p**2. Let x(v) = -v. Determine o(x(z)). 2*z**2 Let j(n) = n. Let l(u) = -12*u**2 - 6. Let p(x) = -3 + 5*x**2 - 4*x**2 + 10*x**2 + 8. Let h(m) = -5*l(m) - 6*p(m). Determine h(j(t)). -6*t**2 Let j(h) = 3*h**2 - 43. Let d(p) = -716*p**2. Calculate j(d(i)). 1537968*i**4 - 43 Let a(b) = 8*b + 7 + 1 + 8*b - 8. Let t(d) = 17*d. What is t(a(q))? 272*q Let p(m) = 3*m**2. Let t(r) be the second derivative of 5*r + 0 - r**2 - 1/8*r**4 + 0*r**3. Let f(a) be the first derivative of t(a). Determine f(p(x)). -9*x**2 Let v(u) = 5*u. Let p(k) be the second derivative of -5*k**3/2 - 153*k. Give p(v(c)). -75*c Let c(p) = 2*p. Let g(l) = -522*l**2 - 2*l - 1. Give g(c(j)). -2088*j**2 - 4*j - 1 Let t(s) = -11*s**2 + 9*s. Let b(f) = -5*f**2 + 4*f. Let l(v) = -9*b(v) + 4*t(v). Let j(y) = 80*y - 29*y - 2*y - 7*y. Determine l(j(k)). 1764*k**2 Let h(x) be the second derivative of -10*x**3/3 - 2*x. Let c(a) be the third derivative of -a**5/30 + 16*a**2 - 5. Calculate c(h(g)). -800*g**2 Suppose 2*o = -3*o + 2*h + 57, 5*o - h - 61 = 0. Let k(c) = o*c + 10*c - 31*c + 9*c. Let y(f) = -26*f**2. Determine k(y(w)). -26*w**2 Let i(g) = 4*g**2 + 2*g. Let f(u) be the first derivative of -11*u**2/2 + 391. Give i(f(m)). 484*m**2 - 22*m Let m(p) = -2294711*p**2. Let c(k) = -k**2. What is m(c(u))? -2294711*u**4 Let s(q) = 56445*q**2. Let j(y) = y. Determine j(s(v)). 56445*v**2 Let a(s) = 11*s - 2*s - 5*s + s + 3*s. Let j(p) = -p**2 - 4. Give a(j(h)). -8*h**2 - 32 Let n(j) = -40*j. Let t(g) = 7*g**2 + 3449*g. What is n(t(h))? -280*h**2 - 137960*h Let s(y) = -271*y + 138*y - 20 + 131*y. Let u(g) = 2*g. Determine s(u(l)). -4*l - 20 Let m(b) = -3*b**2. Let r(t) = 7*t**2 + 123*t + 3*t**2 - 123*t. What is m(r(c))? -300*c**4 Let p(z) = -4*z**2 + 7. Let r(s) = -3*s**2 + 6. Let t(u) = 6*p(u) - 7*r(u). Let k(i) = 161*i. Calculate k(t(x)). -483*x**2 Let x(w) = 3*w**2 + 3*w - 3. Let y(g) = 3*g**2 + 2*g - 2. Let v(i) = 4*x(i) - 6*y(i). Let c(a) = 0*a - a + 2*a. Give c(v(r)). -6*r**2 Let f(g) be the second derivative of -g**4/12 - g**2 + 6*g. Let u(a) be the first derivative of f(a). Let h(m) = 7*m**2. What is u(h(q))? -14*q**2 Let o(a) = 4*a. Let h(s) = 11*s + 353. Determine h(o(i)). 44*i + 353 Let k(j) = -j + 1. Let z(x) = 19*x - 12. Let w(s) = 9*s - 6. Let g(v) = 5*w(v) - 2*z(v). Let l(r) = g(r) + 6*k(r). Let c(a) = -a**2. Determine l(c(u)). -u**2 Let i(d) be the third derivative of d**5/30 + d**2 - 90*d. Let v(y) = -70*y**2 - y. Calculate i(v(s)). 9800*s**4 + 280*s**3 + 2*s**2 Let v(q) = -422*q**2. Let y(i) = i + 24. Calculate v(y(n)). -422*n**2 - 20256*n - 243072 Let g(f) = -9*f - 325. Let r(v) = v. What is g(r(w))? -9*w - 325 Let o(g) = -3*g. Let y(h) = -4131*h**2 - 2*h. What is y(o(m))? -37179*m**2 + 6*m Let l(c) = -19*c**2 - 7*c. Let i(g) = 11*g**2 + 4*g. Let a(j) = 7*i(j) + 4*l(j). Let k(r) = -13*r**2 - r. Determine a(k(h)). 169*h**4 + 26*h**3 + h**2 Let v(i) = -450*i - 451*i + 904*i. Let m be (6/4*2)/1. Let d(f) = f + 5*f - m*f - f. Calculate v(d(y)). 6*y Let p(t) = -58*t**2. Let z(w) be the third derivative of -w**4/8 + 46*w**2. Give p(z(a)). -522*a**2 Let x(c) = 5*c + 9. Let u(b) = -14*b - 24. Let a(v) = 3*u(v) + 8*x(v). Let q(i) = -28*i**2 + 2. Give q(a(r)). -112*r**2 + 2 Let t(k) = -k**2. Let h(f) be the second derivative of -99*f**3/2 - 160*f. Determine t(h(p)). -88209*p**2 Let g(p) = -6*p. Suppose 5*c - 5*r = 40, 5*c = 3*c - 2*r + 8. Suppose 5*o - 2*f = 38 + 23, -c = 2*f. Let q(a) = 7*a - o*a + 3*a. Calculate q(g(x)). 6*x Let l(f) = -4*f - 6. Let t(m) = -25*m - 35. Let s(y) = 35*l(y) - 6*t(y). Let z(j) be the first derivative of 0*j**2 - 6 - 2*j**2 + 3*j**2. What is z(s(g))? 20*g Let t(w) = 239336*w. Let x(l
{ "pile_set_name": "DM Mathematics" }
63/80. Let i(g) be the second derivative of 0 - o*g**5 + 1/8*g**4 + 0*g**3 + 10*g + 0*g**2. Factor i(r). -3*r**2*(r - 2)/4 Suppose 6/5*p**3 + 22/15*p + 22/5*p**2 - 4/5 - 14/15*p**4 = 0. Calculate p. -1, 2/7, 3 Let i(l) = 23*l**4 - l**3 - 24*l**2 - 11*l - 11. Let s(m) = 8*m**4 - 8*m**2 - 4*m - 4. Let n(y) = -4*i(y) + 11*s(y). Find q such that n(q) = 0. -1, 0, 2 Let g be (5 + 0 - 11)*30/(-9). Let f = g - 178/9. Factor -2/9*y + 0 + 0*y**2 + f*y**3. 2*y*(y - 1)*(y + 1)/9 Let u(s) = 4*s**3 - 55*s**2 + 257*s - 186. Let q(t) = -20*t**3 + 276*t**2 - 1284*t + 932. Let v(d) = -5*q(d) - 24*u(d). Let v(i) = 0. What is i? 1, 7 Let v be ((-9)/18)/(2/72). Let w = -15 - v. Suppose -9*o - 3*o + 3*o + 5 + w*o**3 + 1 = 0. What is o? -2, 1 Let j(k) be the second derivative of -k**6/75 - k**5/50 + 7*k**4/10 + 3*k**3 + 14*k + 16. Factor j(y). -2*y*(y - 5)*(y + 3)**2/5 Let s(o) be the first derivative of -1/9*o**6 - 6 + 0*o**5 + 0*o - 1/3*o**2 + 1/3*o**4 + 0*o**3. Factor s(r). -2*r*(r - 1)**2*(r + 1)**2/3 Factor -157*s - 662 + 30*s + 617 - 5*s**2 + 77*s. -5*(s + 1)*(s + 9) Let p(v) be the third derivative of v**8/20160 - v**6/180 - v**5/10 - 10*v**2. Let c(k) be the third derivative of p(k). Let c(r) = 0. What is r? -2, 2 Find j, given that 35280*j**2 - 112*j**3 - 4939200*j + 259308000 + 2/15*j**4 = 0. 210 Let u(g) be the second derivative of 3*g**5/80 - g**4/8 - g**3/8 + 3*g**2/4 - 29*g. Factor u(z). 3*(z - 2)*(z - 1)*(z + 1)/4 Let x(u) be the first derivative of 4/45*u**5 - 15 + 2/9*u**2 - 1/9*u**4 - 4/27*u**3 + 0*u. Factor x(a). 4*a*(a - 1)**2*(a + 1)/9 Let t(n) be the third derivative of -n**7/23940 - 2*n**6/855 - 16*n**5/285 + 5*n**4/12 + 8*n**2. Let c(d) be the second derivative of t(d). Factor c(g). -2*(g + 8)**2/19 Let s be (-25)/225*(-117)/26. Factor -9/4*y**2 + s - 7/4*y. -(y + 1)*(9*y - 2)/4 Let p(t) be the third derivative of -t**7/280 - t**6/120 + t**5/10 + t**4/2 - 5*t**3/3 - 2*t**2. Let y(q) be the first derivative of p(q). Factor y(u). -3*(u - 2)*(u + 1)*(u + 2) Let t(m) be the second derivative of -5*m**4/12 + 5*m**3 - 25*m**2/2 - 86*m. Determine k, given that t(k) = 0. 1, 5 Suppose p - 4*y + 16 = 3*p, y - 4 = 0. Find z such that -4*z**4 - 16*z**2 + 8*z**3 - 15*z**3 + p*z**3 - 9*z**3 = 0. -2, 0 Let g(d) be the second derivative of -d**7/399 - 11*d**6/285 - d**5/19 - 135*d - 3. Find i, given that g(i) = 0. -10, -1, 0 Factor 2/13*m**3 + 46/13*m**2 - 22 + 238/13*m. 2*(m - 1)*(m + 11)*(m + 13)/13 Let a be 9/(-10) - (8 - 9). Let m(k) be the second derivative of 3/10*k**5 - a*k**6 + 0*k**3 - 1/4*k**4 - 4*k + 0 + 0*k**2. Factor m(h). -3*h**2*(h - 1)**2 Let j be -1*1 + (-7)/(-21)*15. Let r be (-3)/7*(-7)/j. Solve 2*o**3 + r*o**4 + 0 + 7/4*o**2 + 1/2*o = 0 for o. -1, -2/3, 0 Suppose -58*t**2 + 90*t**3 - 215*t - 71 + 151 + 50*t**4 - 82*t**2 + 5*t**5 + 130 = 0. What is t? -7, -3, -2, 1 Let c(o) = -69*o + 26. Let s be c(-7). Factor 0 - s*b**2 - 2 + 511*b**2. 2*(b - 1)*(b + 1) Let h = -187 + 192. Let q(p) be the first derivative of 4*p**3 - 6 + 2*p**2 - p**4 - 4/5*p**h - 8*p. Suppose q(m) = 0. What is m? -2, -1, 1 Let o be 0/2*(-38)/190. Let q(s) be the second derivative of -5/18*s**4 + o - 2/3*s**2 + 3*s + 7/9*s**3. Factor q(h). -2*(h - 1)*(5*h - 2)/3 Let n(y) be the first derivative of 4*y**5/5 + 109*y**4 + 11660*y**3/3 - 6050*y**2 + 17. What is f in n(f) = 0? -55, 0, 1 Let -6*q**2 - 9 + 42*q**3 + 30 - 3*q**5 - 39*q + 265995*q**4 - 266010*q**4 = 0. Calculate q. -7, -1, 1 Let w = -3 + 5. Determine z so that 2 - 6*z**3 - 57*z + 62*z + z**3 - 2*z**w = 0. -1, -2/5, 1 Suppose z = -n, -z = -205*n + 209*n. Factor 0*h + n - 3/2*h**5 + 0*h**2 - 3/2*h**4 + 3*h**3. -3*h**3*(h - 1)*(h + 2)/2 Suppose -8*l**2 + 351*l - 351*l - 4*l**3 = 0. What is l? -2, 0 Let q(z) be the first derivative of z**5/20 - z**4/4 - 11*z**3/6 + z**2/2 + 21*z/4 - 487. Let q(t) = 0. What is t? -3, -1, 1, 7 Factor 5/8*a + 0 - 1/2*a**2 - 1/8*a**3. -a*(a - 1)*(a + 5)/8 Let
{ "pile_set_name": "DM Mathematics" }
- 3 = 4*x - 5 for x. -2 Solve -28 = 4*j + 4*q, -q - 3 = -j - 2 for j. -3 Solve -5*m + 17 = -4*n, 5*n = -39*m + 40*m - 16 for n. -3 Solve 0 = g - p - 5, -2*g - 2*p - 6 = -0 for g. 1 Solve 0 = -17*c - 0*c - 4*o - 48, -o = -c - 9 for c. -4 Solve -3*u = g - 17, -g + u = 2 + 1 for g. 2 Solve 2*w - 11 = 5*l, 4*w + 8 = 5*l + 25 for w. 3 Solve 2*k + 4 - 11 = 3*z, 3*k - 15 = 0 for z. 1 Solve 3*p + 11 = 2*b - 7*b, -2*p + 1 = -5*b for b. -1 Solve 2*g - k - 4 = 0, 3*g - 5*k = 7*g - 8 for g. 2 Solve 0 = 43*o - 38*o + 2*y - 16, 3*o - 2*y = -16 for o. 0 Solve -7*g + 10*g + 5*d - 21 = 0, -4*d + 6 = -3*g for g. 2 Solve 5*b + 5*c = -10, -33 = -4*b + 5*c - 41 for b. -2 Solve -69*z + 67*z = -5*j - 12, z + 16 = -3*j for z. -4 Solve 2*w + 3*y = 0, -4*y + 4 = 5*w - w for w. 3 Solve -4*l = -5*t + 22, 5 = -l + 2*t - 2 for l. -3 Solve 0 = -3*x + 2*t + 9, -5*x - t - 39 + 54 = 0 for x. 3 Solve 3*z = 6*y - 3*y, 8 = 2*y for z. 4 Solve -5*l = 3*g, -g + 0*g = -4*l for l. 0 Solve 4*j + 31 = -2*b + 17, -j - 20 = -5*b for b. 3 Solve -5*d = -c - 19, -4*c - 136*d = -138*d + 22 for c. -4 Solve 5*s + 4*y - 3*y = -27, 5*y = 2*s for s. -5 Solve 0 = -2*w + 4*h + 18, 3*w + 3*h + 2*h + 17 = 0 for w. 1 Solve -17 = 5*l + 3*v, -4*l + 4*v + 355 - 343 = 0 for l. -1 Solve t + x + 18 = 4*t, 0 = -4*t + 3*x + 29 for t. 5 Solve 3*f - 3*j - 9 = 5*f, 6 = 3*f - 2*j for f. 0 Solve -2*y = 5*o + 17, 6*o = 10*o - 3*y + 9 for o. -3 Solve 0 = 2*f, -2 = -3*h - f - 8 for h. -2 Solve -13*l + 14 = -14*l + 3*r, 5*r - 26 = 3*l for l. -2 Solve 3 = 3*g - 12, 5*t - 5*g = -15 for t. 2 Solve -3*i = 14*q - 18*q + 14, 4*i - 28 = -4*q for i. 2 Solve 4*d - 2*d + 8 = 0, -4 = 4*a - 4*d for a. -5 Solve 4*n - 6*k = -10*k + 16, 2*n - 5*k = 1 for n. 3 Solve -f = -2*b, 2 = -5*f + 3*b - 12 for f. -4 Solve -3*c - 2*r = 16, -8 = 2*c + r + 2 for c. -4 Solve 7*h - 8 = 6*h + z, 8 = -4*h - 4*z for h. 3 Solve -221*s - 4 = -223*s - 2*b, -5*s = -b + 2 for s. 0 Solve 35*y - 34*y - 8 = 3*z, -5*z - 2*y - 6 = 0 for z. -2 Solve 5*o - 14 = -5*k + 4*k, -o + 6 = k for k. 4 Solve 0 = 4*y + 2*b + 12, 15 = y + 18*b - 13*b for y. -5 Solve -98*z - 15 = -4*g - 97*z, 3*g + 3*z = 15 for g. 4 Solve -5*z + 5*f + 30 = -3*z, 12 = -3*f for z. 5 Solve -58*h + 32 = -54*h + 5*l, 0 = 3*l - 12 for h. 3 Solve -3*c = 3*j - 30 + 9, 4*c = 2*j + 10 for c. 4 Solve j + 3*l = -13, 5*l + 22 = -4*j - 2 for j. -1 Solve 36*r = 39*r + 4*o, -4*o = 5*r for r. 0 Solve 0 = 3*k - 27*j + 32*j + 11, 5*k - 23 = 2*j for k. 3 Solve -t = -2*p + 9, 5*p - 28*t - 15 = -24*t for p. 7 Solve 4*k = -2*n + 10, 10 = 2*k - 0*k for n. -5 Solve 5*g + 0*z - 3*z + 14 = 0, -4*z + 4 = -3*g for g. -4 Solve 5*p = 4*h + 3, 5*p + 2*h = -2*h + 27 for p. 3 Solve 2 = -4*d + 7*d + 5*v, 0 = 4*v - 4 for d. -1 Solve b = z + 6, -3*z + z = 4*b for b. 2 Solve -8*m - 4 = -13*m - 2*r, -3*m - 3*r = -15 for m. -2 Solve s + 3*b = 5*s - 1, 8 = 3*s + 5*b for s. 1 Solve 2*d - 2 = 4*h - h, h + 3*d - 14 = 0 for h. 2 Solve 0 = 5*z + 2*l + 11, 0 = -5*z - 5*l + 1 - 6 for z. -3 Solve -3*h - l + 5 = -15, -4*l + 25 = h for h. 5 Solve -2*x + 5*x + 2*a = 2, -4*x - 2*a + 2 = 0 for x. 0 Solve -j = 5, -3*r + j + 208 = 203 for r. 0 Solve -15*d + 20*d - 45 = -5*q, 3*q + 2*d = 23 for q. 5 Solve t = -4*q + 8*q + 3, 0 = -5*t - 4*q + 15 for t. 3 Solve 0 = 2*r - 5*r + 4*k + 5, -2*r = -4*k - 2 for r. 3 Solve 125*s - 14 = 4*f + 127*s, -4*f - 17 = 5*s for f. -3 Solve 5*a = 4*s - 0*a + 15, 4*a = -2*s - 14 for s. -5 Solve 5*c - 6 = 4*k, 6*c + 9 = 9*c + 3*k for c. 2 Solve -56*v + 53*v = 4*s - 1, 1 = 2*s + v for s. 1 Solve 5*v = 5*c + 10, 0 = -2*v + 4*v - 5*c - 4 for v. 2 Solve -j + 16 = 4*r,
{ "pile_set_name": "DM Mathematics" }
*k**2 + 0*k**4. What is the third derivative of r(j) wrt j? -180*j**2 Let g(r) = -6*r**6 - 42*r**3 - 2*r**2 + 18*r. Let a(y) = 7*y**6 + 43*y**3 + 3*y**2 - 19*y. Let o(h) = 5*a(h) + 6*g(h). Find the third derivative of o(i) wrt i. -120*i**3 - 222 Find the second derivative of -15*i + 541*i**4 + 317*i**4 - 202*i**4 wrt i. 7872*i**2 Let o(p) = -4*p - 19. Let a be o(-6). What is the second derivative of -9*b - 7*b**2 + 7*b**a + 5*b + 7*b**2 wrt b? 140*b**3 Find the third derivative of 7*q**3 - 234*q**2 - q**4 - 11*q**3 + q**4 + 0*q**5 + 8*q**5 wrt q. 480*q**2 - 24 Let g(h) be the first derivative of h**6/6 - h**4/2 + 8*h**3/3 - h - 37. Find the third derivative of g(x) wrt x. 60*x**2 - 12 Suppose -5*p + 2*f + 74 + 36 = 0, -4*p - f + 101 = 0. Let v = p - 18. What is the third derivative of -2*z**2 + 8*z**4 - 8*z**4 - z**2 + 3*z**v wrt z? 360*z**3 Let l(q) = 12*q**3 + 6*q**2 - 27*q - 6. Let z(t) = t**3 - t**2 + 1. Let f = 47 + -53. Let o(b) = f*z(b) - l(b). Find the second derivative of o(x) wrt x. -108*x Let a = 53 - 53. Let i(w) be the first derivative of 0*w**2 + 5 + a*w**3 - 5/4*w**4 + 4*w. What is the first derivative of i(f) wrt f? -15*f**2 Let l(h) = -18*h**2 - 33*h - 6. Suppose 2*c = -17*c + 19. Let x(q) = q - 1. Let f(t) = c*l(t) - 6*x(t). Find the second derivative of f(r) wrt r. -36 Let a(x) be the third derivative of 0*x + 0 + 1/35*x**7 + 0*x**5 + 23/24*x**4 + 9*x**2 + 0*x**6 + 0*x**3. What is the second derivative of a(g) wrt g? 72*g**2 Suppose 0 = -7*w + 5*w - 2*n + 2, -w + 2*n + 7 = 0. Find the third derivative of -7*k**4 + 6*k**2 - 349*k**w - 3*k**2 + 7*k**2 + 350*k**3 wrt k. -168*k + 6 Let g(d) = 2*d**2 - 4*d + 2. Let k be g(3). Suppose -k*p - 4 = -9*p. Find the second derivative of -5*y - 11*y**4 + 5*y**p - y**4 wrt y. -84*y**2 Let s(q) = -5 - 9*q**5 - 5*q**5 + 29*q**2 + 7*q**5 - 5*q**5 + 5*q**3. Let o(n) = n**3 - 1. Let w(y) = -5*o(y) + s(y). Find the third derivative of w(i) wrt i. -720*i**2 Suppose -7*n + 4 = -5*n. What is the first derivative of 19 - 12*q**2 + 4*q**n + q**2 - q**2 wrt q? -16*q Let k(s) be the third derivative of 3*s**7/14 - s**5/60 + 50*s**3 - 455*s**2. Find the first derivative of k(o) wrt o. 180*o**3 - 2*o Suppose -14*x = 11 - 39. Let v(a) be the second derivative of 0*a**4 + 0*a**3 + 1/10*a**5 - 4*a + 0 + 3*a**x. Find the first derivative of v(j) wrt j. 6*j**2 Let l(m) = 46*m + 36. Let b = 20 + -31. Let r(f) = 15*f + 12. Let t(g) = b*r(g) + 4*l(g). What is the derivative of t(q) wrt q? 19 Let d(y) = y**3 - 2*y**2 + 3*y - 2. Suppose -2 = 3*x + 4*r, 8 = 3*x + 2*x + r. Let h be d(x). Differentiate 1 - 1 - h + 1 + 4*t**4 wrt t. 16*t**3 Let x(s) be the first derivative of 29*s**6/120 + 9*s**3/2 + 15*s**2 + 8. Let z(i) be the second derivative of x(i). What is the derivative of z(y) wrt y? 87*y**2 Suppose 0 = 2*z - 6*z + 28. Let t = -5 + z. Find the third derivative of 0*s**6 + t*s**2 - 3*s**2 + s**6 + 5*s**2 wrt s. 120*s**3 Let o(d) be the third derivative of 0*d + 0*d**3 - 2*d**2 + 0*d**6 + 0*d**5 + 5/8*d**4 + 1/21*d**8 + 0 + 0*d**7. Find the second derivative of o(h) wrt h. 320*h**3 Let n(b) be the first derivative of -23/6*b**6 + 0*b**3 - b**2 + 0*b**5 + 0*b + 0*b**4 - 18. What is the second derivative of n(z) wrt z? -460*z**3 Let q(z) be the first derivative of -41*z**3/3 + 135*z**2/2 + 49. Find the second derivative of q(y) wrt y. -82 Let z(m) be the second derivative of m + 2/15*m**6 - 4/3*m**3 + 0*m**2 + 0*m**5 + 0 + 0*m**4. Find the second derivative of z(u) wrt u. 48*u**2 Let z(u) be the second derivative of 11*u + 19/6*u**3 + 0*u**2 + 0 - 5/12*u**4. What is the second derivative of z(s) wrt s? -10 Let r = -63 - -67. Find the second derivative of -3*i + 3*i**4 + 5*i**4 + r*i**4 wrt i. 144*i**2 Suppose -28 = -2*k - 16. Let f = -1 - -4. Find the first derivative of -2 - k*l**4 - 3 + f wrt l. -24*l**3 Let p(i) = i**2 + i. Let g be p(1). Suppose b = 4 - g. Find the third derivative of 4 - 4 + 4*l**5 - l**b - 2*l**5 wrt l. 120*l**2 Let v(t) be the second derivative of t**5/20 + 5*t**4/12 + 689*t**2/2 + 69*t + 1. What is the derivative of v(b) wrt b? 3*b**2 + 10*b Let r(y) be the third derivative of y**9/252 - 31*y**6/30 - 20*y**5/3 - 296*y**2. Find the third derivative of r(n) wrt n. 240*n**3 - 744 Suppose 0 = 43*d - 45*d + 62. Let s = d - 27. Find the second derivative of 27*o**2 - 3*o**s - 27
{ "pile_set_name": "DM Mathematics" }
of -205 and 0.4. -82 Product of -3 and 1.19. -3.57 272.9 * -7 -1910.3 3.5 times -0.13 -0.455 -1.01*18.6 -18.786 What is the product of -0.4 and 221? -88.4 0.1*37 3.7 -0.1 * 0.1 -0.01 Multiply 4 and 1179. 4716 What is the product of -1800 and 2? -3600 0.013*-6 -0.078 -83 times 0.1 -8.3 3 times -84.7 -254.1 What is the product of 0.1 and -4390? -439 Work out -0.28 * -21. 5.88 -0.169 times -0.5 0.0845 Calculate 2*1.79. 3.58 -458 times -10 4580 0.05 * 6 0.3 Calculate -495*4. -1980 Multiply 0.6 and 0.063. 0.0378 1 * -22 -22 774*-0.5 -387 Work out 7721 * -0.4. -3088.4 -31*-51 1581 Work out 18 * 52. 936 Product of -0.118 and -1. 0.118 What is 0.4 times -23? -9.2 Work out 0.06 * 36. 2.16 1379*2 2758 Work out -172 * 0.3. -51.6 Product of -5 and 478. -2390 Multiply -0.0077 and 0.05. -0.000385 6 times 800 4800 Work out 0 * -0.249. 0 Calculate -27.8*7. -194.6 -1 times -0.18 0.18 2215 * 0.4 886 Calculate -48338*0.2. -9667.6 Product of -63 and -0.03. 1.89 -2.3*70 -161 Calculate 0.09*1.27. 0.1143 -11 * 24.4 -268.4 54*0.4 21.6 What is the product of 3411 and 0.5? 1705.5 Product of -0.0285 and -4. 0.114 -0.095*-14 1.33 What is the product of -2 and 0.3? -0.6 Work out 1659 * -4. -6636 What is the product of -3 and -72? 216 -1285 times -0.3 385.5 What is -44601 times 0? 0 -408 * 1 -408 Product of 801 and -2. -1602 29 times -0.0401 -1.1629 -817 * -0.1 81.7 0.5 times -0.217 -0.1085 Calculate -0.1*-0.064. 0.0064 Multiply 19 and 411. 7809 What is -7 times 0.088? -0.616 Multiply 0.0758 and -5. -0.379 What is the product of 2 and -3445? -6890 Calculate 11*0.21. 2.31 Work out -0.189 * 4. -0.756 Product of -11 and -0.065. 0.715 Multiply -50 and 12. -600 What is 3707 times -4? -14828 Multiply -4 and -24.56. 98.24 3 * 0 0 What is -0.028 times 15? -0.42 Calculate 7*-1.54. -10.78 -1065*2 -2130 0.1*-140 -14 What is the product of 8 and -1.1? -8.8 What is 0.10069 times -3? -0.30207 Multiply 3.3 and 1.4. 4.62 -0.1 * 2.07 -0.207 Work out 90.8 * 25. 2270 Work out 14156 * 3. 42468 Calculate 0.3*3.54. 1.062 0.03163 times 1 0.03163 -23*-0.034 0.782 139 times 18 2502 -0.15*23 -3.45 -0.3 * -0.14 0.042 2 * 0.06 0.12 What is -0.3 times 1.28? -0.384 -26.6 * 11 -292.6 Calculate -0.1*18. -1.8 Product of -7.403 and 5. -37.015 468 times 3.7 1731.6 1085*0.3 325.5 Product of 3.7 and 21. 77.7 3814 * 0.3 1144.2 35*3 105 Calculate 2*-37. -74 23.1 * -0.11 -2.541 -44.2*0.3 -13.26 What is the product of 0 and -0.019? 0 Multiply -2.157 and 3. -6.471 5 * -0.05949 -0.29745 -0.28 times -0.2 0.056 Product of -3 and -161. 483 Work out 0.2 * -7.86. -1.572 356 * 0.4 142.4 Work out 4 * -0.318. -1.272 Multiply 0 and 0.238. 0 Work out 28 * 39. 1092 What is 5 times 1? 5 1 * -3 -3 Product of 8 and 52. 416 -0.06*-595 35.7 Product of -0.02088 and -0.3. 0.006264 What is the product of -0.27 and 0.11? -0.0297 What is the product of -0.1863 and 0.4? -0.07452 Work out -7.3 * 21. -153.3 Multiply 0.5 and 0.1. 0.05 Product of 0.68 and -0.03. -0.0204 What is the product of 106 and -5? -530 0.514*0 0 What is the product of -1.252 and -0.2? 0.2504 Calculate -7.1*-199. 1412.9 Work out 18 * 3. 54 Calculate 2*-7.5. -15 Multiply -1.7 and 0.033. -0.0561 -0.45 * -0.5 0.225 Product of -2 and 344. -688 Multiply -4721 and -0.1. 472.1 Work out -0.1414 * -3. 0.4242 0.2*51 10.2 -160.4*-0.3 48.12 Product of 1 and 0.16. 0.16 What is -402 times -1? 402 Product of -514 and 0.3. -154.2 2 times -222 -444 Calculate 2*0.6. 1.2 Work out -218 * 0.01. -2.18 Calculate -0.5*4638. -2319 Work out -4.7 * 46.7. -219.49 5 times 169 845 Multiply 0.05 and 14.45. 0.7225 Calculate -7*-7.3. 51.1 Multiply -6 and 140. -840 What is -4 times -16.4? 65.6 What is 681 times 1? 681 4 * -0.0722 -0.2888 What is 21 times 0? 0 0.1 * -1000 -100 -3 * -323 969 What is the product of -91 and -0.49? 44.59 Work out 0.12 * -106. -12.72 0.15 times -3.03 -0.4545 Calculate 3790*-0.3. -1137 -2052*5 -10260 Product of -15.3 and -2.7. 41.31 Multiply 2 and -5567. -11134 What is 8.48 times 0.5? 4.24 Multiply 598 and 10. 5980 What is 0.5 times 57?
{ "pile_set_name": "DM Mathematics" }
18887 is divided by 10. 7 Calculate the remainder when 132 is divided by 6. 0 What is the remainder when 5331 is divided by 21? 18 Calculate the remainder when 2118 is divided by 53. 51 What is the remainder when 638 is divided by 92? 86 Calculate the remainder when 184 is divided by 64. 56 Calculate the remainder when 1461 is divided by 210. 201 What is the remainder when 235 is divided by 59? 58 Calculate the remainder when 86 is divided by 9. 5 Calculate the remainder when 770 is divided by 68. 22 Calculate the remainder when 427 is divided by 108. 103 Calculate the remainder when 187 is divided by 21. 19 What is the remainder when 2105 is divided by 34? 31 What is the remainder when 545 is divided by 251? 43 What is the remainder when 359 is divided by 49? 16 Calculate the remainder when 1164 is divided by 230. 14 Calculate the remainder when 669 is divided by 67. 66 Calculate the remainder when 3243 is divided by 83. 6 What is the remainder when 269 is divided by 15? 14 Calculate the remainder when 453 is divided by 79. 58 Calculate the remainder when 5604 is divided by 10. 4 What is the remainder when 398 is divided by 14? 6 What is the remainder when 78 is divided by 12? 6 Calculate the remainder when 271 is divided by 93. 85 What is the remainder when 345 is divided by 83? 13 Calculate the remainder when 61 is divided by 15. 1 What is the remainder when 521 is divided by 5? 1 What is the remainder when 2399 is divided by 793? 20 Calculate the remainder when 457 is divided by 119. 100 What is the remainder when 27 is divided by 8? 3 What is the remainder when 111 is divided by 54? 3 Calculate the remainder when 129 is divided by 75. 54 Calculate the remainder when 5013 is divided by 114. 111 What is the remainder when 325 is divided by 157? 11 What is the remainder when 49 is divided by 13? 10 What is the remainder when 4315 is divided by 96? 91 Calculate the remainder when 79 is divided by 14. 9 Calculate the remainder when 98 is divided by 20. 18 What is the remainder when 289 is divided by 21? 16 Calculate the remainder when 6008 is divided by 12. 8 Calculate the remainder when 72 is divided by 69. 3 What is the remainder when 223 is divided by 76? 71 Calculate the remainder when 356 is divided by 154. 48 What is the remainder when 406 is divided by 102? 100 Calculate the remainder when 504 is divided by 125. 4 Calculate the remainder when 4748 is divided by 26. 16 What is the remainder when 967 is divided by 192? 7 Calculate the remainder when 131 is divided by 12. 11 What is the remainder when 51 is divided by 8? 3 What is the remainder when 407 is divided by 12? 11 What is the remainder when 142 is divided by 16? 14 Calculate the remainder when 2469 is divided by 2457. 12 Calculate the remainder when 734 is divided by 49. 48 Calculate the remainder when 61 is divided by 16. 13 What is the remainder when 647 is divided by 153? 35 Calculate the remainder when 226 is divided by 41. 21 What is the remainder when 72 is divided by 27? 18 What is the remainder when 348 is divided by 28? 12 Calculate the remainder when 179 is divided by 97. 82 Calculate the remainder when 4370 is divided by 43. 27 Calculate the remainder when 168 is divided by 17. 15 Calculate the remainder when 717 is divided by 3. 0 What is the remainder when 168 is divided by 10? 8 What is the remainder when 2169 is divided by 114? 3 Calculate the remainder when 287 is divided by 37. 28 What is the remainder when 3058 is divided by 10? 8 Calculate the remainder when 278 is divided by 71. 65 Calculate the remainder when 755 is divided by 110. 95 Calculate the remainder when 1580 is divided by 88. 84 Calculate the remainder when 399 is divided by 54. 21 Calculate the remainder when 7 is divided by 7. 0 Calculate the remainder when 3719 is divided by 53. 9 Calculate the remainder when 400 is divided by 137. 126 Calculate the remainder when 10123 is divided by 135. 133 What is the remainder when 7789 is divided by 38? 37 What is the remainder when 432 is divided by 25? 7 Calculate the remainder when 1430 is divided by 356. 6 Calculate the remainder when 58 is divided by 15. 13 Calculate the remainder when 324 is divided by 69. 48 What is the remainder when 523 is divided by 46? 17 Calculate the remainder when 56428 is divided by 513. 511 What is the remainder when 1259 is divided by 125? 9 What is the remainder when 646 is divided by 6? 4 Calculate the remainder when 88 is divided by 57. 31 What is the remainder when 2247 is divided by 45? 42 What is the remainder when 112 is divided by 40? 32 What is the remainder when 1227 is divided by 307? 306 What is the remainder when 58 is divided by 21? 16 Calculate the remainder when 338 is divided by 31. 28 What is the remainder when 825 is divided by 9? 6 What is the remainder when 120 is divided by 14? 8 Calculate the remainder when 1174 is divided by 42. 40 Calculate the remainder when 149 is divided by 17. 13 What is the remainder when 417 is divided by 146? 125 Calculate the remainder when 359 is divided by 39. 8 Calculate the remainder when 149 is divided by 42. 23 What is the remainder when 99 is divided by 26? 21 What is the remainder when 155 is divided by 75? 5 Calculate the remainder when 67 is divided by 50. 17 Calculate the remainder when 813 is divided by 91. 85 What is the remainder when 28833 is divided by 267? 264 What is the remainder when 294 is divided by 4? 2 Calculate the remainder when 57 is divided by 47. 10 What is the remainder when 1876 is divided by 172? 156 Calculate the remainder when 390 is divided by 36. 30 Calculate the remainder when 28364 is divided by 9. 5 What is the remainder when 354 is divided by 43? 10 Calculate the remainder when 2766 is divided by 42. 36 Calculate the remainder when 2347 is divided by 196. 191 What is the remainder when 26 is divided by 5? 1 Calculate the remainder when 1237 is divided by 46. 41 Calculate the remainder when 395 is divided by 195. 5 Calculate the remainder when 144 is divided by 51. 42 What is the remainder when 463 is divided by 39? 34 Calculate the remainder when 258 is divided by 88. 82 What is the remainder when 62 is divided by 22? 18 Calculate the remainder when 282 is divided by 133. 16 Calculate the remainder when 706 is divided by 129. 61 Calculate the remainder when 615 is divided by 14. 13 Calculate the remainder when 578 is divided by 95. 8 What is the remainder when 111 is divided by 31? 18 Calculate the remainder when 765 is divided by 251. 12 Calculate the remainder when 692 is divided by 24. 20 Calculate the remainder when 238 is divided by 125. 113 Calculate the remainder when 100 is divided by 21. 16 What is the remainder when 180 is divided by 13? 11 Calculate the remainder when 281 is divided by 46. 5 Calculate the remainder when 4785 is divided by 435. 0 Calculate the remainder when 1925 is divided by 381. 20 Calculate the remainder when 1671 is divided by 210. 201 Calculate the remainder when 53 is divided by 21. 11 Calculate the remainder when 779 is divided by 38. 19 What is the remainder when 762 is divided by 97? 83 Calculate the remainder when 45 is divided by 16. 13 What is the remainder when 97 is divided by 14? 13 What is the remainder when 129 is divided by 61? 7 What is the remainder when 677 is divided by 68? 65 What is the remainder when 251 is divided by 72? 35 Calculate the remainder when 2335 is divided by 36. 31 What is the remainder when 236 is divided by 52? 28 What is the remainder when 33 is divided by 20? 13 What is the remainder when 1823 is divided by 606? 5 What is the remainder when 204 is divided by 14? 8 Calculate the remainder when 907 is divided by 92. 79 What is the remainder when 176 is divided by 98? 78 Calculate the remainder when 1797 is divided by 366. 333 Calculate the remainder when 6449 is divided by 1074. 5 Calculate the remainder when 168 is divided by 59. 50 What is the remainder when 226 is
{ "pile_set_name": "DM Mathematics" }
Suppose 3*k - 2 = -29. Let q(z) = k*n(z) + r(z). Calculate the remainder when 28 is divided by q(-12). 13 Suppose -66*u + 28*u = 17252. Let a = u - -514. Calculate the remainder when a is divided by 13. 8 Let r(s) = s**2 + 9*s - 306. Suppose -49 = 3*i - 190. What is the remainder when r(18) is divided by i? 39 Suppose 127 = -10*y + 387. What is the remainder when 646 is divided by y? 22 Suppose 33*m - 280 = 26*m. Let v be (-52)/6*(8 + -5). Let h = v + 47. Calculate the remainder when m is divided by h. 19 Suppose -b + 2133 = a, -5*a + b + 797 + 9838 = 0. Calculate the remainder when a is divided by 27. 22 Let f(m) = 103*m**2 - 22*m + 3. What is the remainder when f(-4) is divided by 7? 3 Let h(v) = -47*v - 2. Suppose 0 = 5*m + 2*o + 103, -2*m + 2*o - 3*o - 42 = 0. Calculate the remainder when h(-1) is divided by ((2 - m) + 3)*1. 21 Suppose 0 = r + 3, -2*m + 4*m + 2*r + 6 = 0. Let j = 13 + m. What is the remainder when (-4)/(-2) - 1 - -34 is divided by j? 9 Let o(u) = 116*u + 765. Let k(t) = 57*t + 383. Let s(r) = -5*k(r) + 2*o(r). Calculate the remainder when s(-8) is divided by 21. 18 Suppose 4*y = t + 12, 2*t = 3*y - 5*y + 16. Suppose -y*w - 138 = -3*p, -4*w = -4*p - p + 238. What is the remainder when p is divided by 4? 2 Let w = 340 - 233. Suppose -27 = -b + 13*r - 8*r, 5*b + r = 135. Calculate the remainder when w is divided by b. 26 Let y = 4644 + -4622. Calculate the remainder when (-1)/(-4) + (-454)/(-8) is divided by y. 13 Suppose 124 = d + 21. Let a = 113 - d. Calculate the remainder when -3 - (4 - 7) - -23 is divided by a. 3 What is the remainder when 608 is divided by (176/6)/(((-50)/(-30))/5)? 80 Suppose -3*v + 3 = -3*t, -v + 0*t - 8 = -4*t. Suppose 0 = -v*b + 16, -5*i + 8*b = 4*b - 424. Calculate the remainder when i is divided by 50. 38 Let z(y) = -y**2 + y - 25. Let v be z(0). Calculate the remainder when (2*1 + 1)*197/((-40779)/(-1587)) is divided by v/(-3) + (-2)/(-3). 5 Let r = 69184 - 69178. Let w = -16 + 26. What is the remainder when w is divided by r? 4 Let m(q) = q**2 - 3*q. Let u be m(4). Suppose y + u*s - 21 = 0, 5*s + 2 = 7. What is the remainder when -1 + (464/(-8)*-1 - 8) is divided by y? 15 Suppose 3*f = 2*q + 7*f + 4, 0 = -3*q - f + 9. Calculate the remainder when (q - 1) + 296/4 is divided by 14. 7 Suppose -2*q + 12 = 102. Let d be 4/(-18) - 550/q. Let u = d - -39. Calculate the remainder when u is divided by 13. 12 Let n(r) = -r**3 + 5*r**2 - 4*r + 4. Let b be n(4). Suppose 0 = b*c + 292 - 72. Let h = -50 - c. What is the remainder when h is divided by 4? 1 Calculate the remainder when 692 is divided by (16 + -25)/(54/(-462)). 76 Let i = -657 + 325. Let k = i - -470. Calculate the remainder when k is divided by 50. 38 Suppose -1149 + 121 = -4*p. What is the remainder when p is divided by (-91)/((-18)/720*70)? 49 What is the remainder when 2098 is divided by (255 - 246)*(-11)/(-3)? 19 Let b = 968 - 856. Calculate the remainder when 1451 is divided by b. 107 Suppose -504 = -12*p + 3*p. Let w = 58 - p. What is the remainder when w is divided by 1? 0 Suppose -3*y + 8*y - 1218 = 4*r, y - 248 = 3*r. Let j(c) = 5*c**3 - 2*c**2 + 8*c - 7. Calculate the remainder when y is divided by j(2). 37 Let j(z) = z - 10. Let l(x) = -1. Let k(r) = -j(r) + 2*l(r). Calculate the remainder when 2 is divided by k(6). 0 Let h = 118 - 115. What is the remainder when ((-2)/h*1)/(6/(-1071)) is divided by 15? 14 Let c(q) = 84*q + 36. Let k be c(21). What is the remainder when 97 is divided by ((-12)/(-9))/(48/k)? 47 Suppose 3*o - 32 = -o. Let w be 2352/48 + -2 + -2. Suppose -o*u - 3*t = -3*u - 85, 5*t + w = 5*u. What is the remainder when 25 is divided by u? 11 Suppose 0*t + 3*t + 3*k = 30, -2*k + 10 = 0. Suppose -t*r + 1332 = -778. What is the remainder when r is divided by 17? 14 Let p = -29 - -27. Let g = 9 + p. Let b(a) = -a**3 - 15*a**2 + 15*a - 11. Calculate the remainder when g is divided by b(-16). 2 Let y = -5352 - -6037. What is the remainder when y is divided by 83? 21 Suppose 227*g + 184*g - 2005 = 2927. Let o = 23 - -11. What is the remainder when o is divided by g? 10 Let a(n) = 15*n**2 - 384*n - 11. Calculate the remainder when 495 is divided by a(26). 60 Let h(q) = 121*q - 421. Calculate the remainder when 2028 is divided by h(4). 12 Suppose 4*g - 482 = 5*t, 3*g - 10*t = -5*t + 364. Let i = -493 - -517. Calculate the remainder when g is divided by i. 22 Let y = 175 - 162. Let m(a) = -a**3 + 14*a**2 - 8*a + 5. What is the remainder when m(y) is divided by 17? 2 Suppose -6*y + 2*y = -604. Suppose 11*u + 29*u = 320. Let l(d) = -d**3 + 7*d**2 + 13*d + 11. Calculate the remainder when y is divided by l(u). 49 Suppose -967*o + 954*o = -2600. What is the remainder when 205 is divided by o? 5 Let f(a) = 7*a**2 - 31*a - 265. Calculate the remainder when 922 is divided by f(11). 199 Let s(x) = -19*x + 834. Calculate the remainder when 5031 is divided by s(43). 16 Let i(o) = -9*o - 25. Let c be i(-3). Suppose 3*n - 56 = c*n. Calculate the remainder when n is divided by 15. 11 Suppose -384*b = -385*b + 5*y + 207, -447 = -2*b - y. Calculate the remainder when 294 is divided by b. 72 Let d be 82/9 - 22/198. Calculate the remainder when 295 is divided by 181/5 - ((-246)/(-30) - d). 36 Suppose 0 = -5*a + 7*a - 16. Suppose w + 14 = a*w. Suppose 0
{ "pile_set_name": "DM Mathematics" }
of q? 9 Let o(r) be the first derivative of r**3 + 3*r**2 - 10*r - 12. What is the tens digit of o(-6)? 6 Let k(j) = -j**3 + 5*j**2 - j + 5. Let c be k(5). Let y(h) = -h + 20. Let l be y(18). Suppose c = -3*b - l*b + 55. What is the tens digit of b? 1 What is the units digit of -263*(3 + -2)*-2? 6 Let p be ((-2)/(-2))/(26/(-130)). Let o be ((-28)/6)/((-2)/3). Let a = o + p. What is the units digit of a? 2 Suppose o = 3*o + 3*g + 6, -5*o + 31 = -4*g. Suppose o*f - f - 6 = 0. Let i = 14 - f. What is the units digit of i? 1 Let p = 23 + -17. Let g = p - 3. What is the units digit of 15/(-10)*(g - 39)? 4 Suppose -2310 = -40*i + 33*i. What is the units digit of i? 0 Let p(z) = z**2 + 19. Let q be p(0). Suppose 0 = -14*m + q*m - 695. What is the units digit of m? 9 Suppose -336 = -2*k + n + 1233, 4*k - 3141 = -n. What is the hundreds digit of k? 7 Suppose -3*p = -5*y - 4, 0 = 2*p - 5*y + 2 - 3. Suppose 6 = p*l + 3. What is the tens digit of l*10*(-112)/(-35)? 3 Suppose -3*m + 0*m = -330. Let s = m + -76. What is the units digit of s? 4 Suppose 0 = -m + 32 + 36. Suppose i + 5*k = -i + 122, 0 = -i + k + m. Suppose -4*a = 4*g - 14 - i, 2*g + 3*a - 43 = 0. What is the tens digit of g? 1 Let h = 15 - 12. Suppose 52 = 5*t - h*p - 135, t - 3*p - 35 = 0. What is the units digit of t? 8 Suppose 9*b - 4*p = 11*b - 5826, 4*b + p - 11631 = 0. What is the units digit of b? 7 Let z = 0 - -4. Suppose -13 = z*j - 5. What is the units digit of 20 + (0 - (-4)/j)? 8 Suppose 0 = -5*h, h - 1 + 7 = 3*y. Let n be 168/78 + y/(-13). Suppose n*g + 8 = -5*i - 7, -2*i = 2*g. What is the units digit of g? 5 Let b be 1*((-4)/16 + 0)*-28. Suppose -130 = b*c - 1908. What is the tens digit of c? 5 Let n(k) = -k**2 - k + 2. Suppose -r = -2*r. Let s be n(r). Suppose -2*j + 7*j - s*q = 84, 2*q + 12 = j. What is the units digit of j? 8 Let d(j) = -j**3 - 14*j**2 - 140*j + 4. What is the tens digit of d(-10)? 0 Suppose -l - 728 = -2*g, 0 = 3*g + l + 3*l - 1070. What is the tens digit of g? 6 What is the tens digit of (-2)/((-3 + 2)/359)? 1 Let w(d) = d**3 + 9*d**2 + 7*d - 2. Let z be w(-8). Let a(s) = 16*s - 6. What is the tens digit of a(z)? 9 Let f = 3 - 3. Suppose f = -q + 4*p + 9, 2*q - 5*p + 2*p - 13 = 0. Suppose 1 = q*v - 134. What is the tens digit of v? 2 Let i(p) = -p**3 - 3*p**2 + 5*p + 11. Let u(k) = k + 4. Let m be u(-9). Let q be i(m). Suppose -q = -3*x + x. What is the units digit of x? 8 Let k(q) = q**3 + 4*q**2 - q - 2. Let i be k(-3). Suppose -5*g - 66 = -3*d, 0 = g + d - 0*d + i. What is the units digit of (g/10)/((-22)/605)? 3 What is the tens digit of (15 - 19) + 0 + 0 + 785? 8 Let h be ((-126)/30)/(2/80). What is the units digit of 6/21 - (-4)/(-14) - h? 8 Let r(h) = 4*h**2 - 14*h + 10. Let a be r(5). What is the tens digit of 2184/a + 3/(-5)? 5 Let p = -4122 - -5949. What is the units digit of p? 7 Suppose -17*d + 504 = -15*d. Suppose 9*o - 189 = d. What is the tens digit of o? 4 Let a be (-4)/(2*8/(-12)). Suppose -5*w + 3*g = -28, a*w - g - 4*g - 20 = 0. Suppose 4*k = -12, -n - 2*n - w*k + 66 = 0. What is the tens digit of n? 2 Suppose -16 = 27*t - 31*t. What is the units digit of t*-1 + 230 + 17? 3 Let d(c) = 5 - 279*c - 1 - 2 - 4. What is the hundreds digit of d(-1)? 2 Suppose 12*f = 7*f - 4*a + 18780, 5*f + 3*a = 18785. What is the tens digit of f? 6 Let l = 20 - 16. Suppose l*u - 72 = 3*u. Let r = u + -38. What is the tens digit of r? 3 Let x(t) = 2*t**2 + 24*t - 26. Let i be x(-13). Suppose -21*m + 19*m + 18 = i. What is the units digit of m? 9 Let l = 136 + -61. Let w = 436 + -425. Suppose -2*p + l + w = 0. What is the tens digit of p? 4 Let g(q) = -52*q + 1. Let i be g(-1). Let n = -14 + i. What is the units digit of n? 9 Suppose -3*n + 12 = -4*d, 3*n + 2*n + 5*d - 20 = 0. Suppose -n*o + 151 + 421 = 0. What is the units digit of o? 3 Suppose 5*h + 1312 = 4*l, 2*l + 2*h - 783 = -145. What is the units digit of l? 3 Suppose -2*t = 5*s + 30, -3*s - 2*t - 24 + 6 = 0. Let c(q) = -q**3 - 6*q**2 - 3*q. What is the units digit of c(s)? 8 Let g(p) = 2*p + 30. Let q be g(-14). Suppose q*h - 45 - 13 = 0. What is the units digit of h? 9 Suppose -30459 = -52*x + 159653. What is the thousands digit of x? 3 Suppose 896 = 3*n - 5*g, -3*n - 8*g + 3*g = -946. Let q = n - 78. What is the hundreds digit of q? 2 Let p = -542 - -841. What is the hundreds digit of p? 2 Let i be (2 - 3) + 5 + 2. Suppose -7*g = -i*g - 127. What is the units digit of g? 7 Let v = -10 - -14. Let d(f) = 0*f**3 + v*f**3 + 10*f - 3*f**3 - 15*f**2 + 7*f. What is the units digit of d(14)? 2 Suppose -2*q + 6*f - f - 5 = 0, f = 3. Suppose -2*a = -q*b - 1 - 1, a - b -
{ "pile_set_name": "DM Mathematics" }
9/5236 - 218329/602140. Find the common denominator of l and -51/184. 920 Suppose 0 = -2*l + l + 3*v - 3, -18 = -l - 4*v. Suppose 0 = -o + 1 - l. Find the common denominator of 23/11 and o/(-10) + (-47)/22. 11 Let d = -8 + 8. Suppose 3 + 1 = -4*c, d = -4*q + 3*c + 51. Suppose 2*z - 15 = 17. Calculate the least common multiple of q and z. 48 Let s = -30 - -82. Calculate the lowest common multiple of (-4)/(-2) - (-32)/4 and s. 260 Let m = 4779 + -52607/11. What is the common denominator of 24522/(-16104) + -1 + 1/4 and m? 11 Let h = -2287/8 - -277. Let g = -284043/10 + 28444. Let a = g - -4/5. Calculate the common denominator of h and a. 8 Let s = 1375 + -1131. Calculate the smallest common multiple of 7 and s. 1708 Let r(z) = z**3 + 4*z**2 - 11*z - 18. Calculate the lowest common multiple of 10 and r(-5). 60 Let z be (488/3456)/(2/(-102)). Let g = -85/16 - z. What is the common denominator of (-50)/(-33)*(7 - 4) and g? 99 Let a = -66 + 844. Let z be (a/3)/((-70)/(-15)). Let u = z + -3589/70. Find the common denominator of 73/6 and u. 30 Let j be (-112)/8 + -2*2. Let p = j - -13. What is the lowest common multiple of 2/p - 235/(-25) and 7? 63 Let l(d) = 5*d**3 - 4*d**2 - 1. Let v be l(4). Calculate the common denominator of 2/9 - (-379)/198 and 10/4*v/(-175). 154 What is the least common multiple of (-7)/((-42)/(-12)) + 11 and 2*(-1 - (3 + -5))? 18 Let g = 161 - 131. What is the least common multiple of g and 30? 30 Suppose 74 = 2*o - 22. Suppose o = 3*q - 3*d, 4*q - 18 - 44 = 2*d. What is the least common multiple of q and 33? 165 Let a = 1/52 - -21/260. Let c be (-1)/((-13)/(-7) + -2). What is the common denominator of a and c/11*12/14? 110 What is the common denominator of 59/6 and 33/165 + 606/(-80)? 24 Suppose 1294 - 5094 = -19*m. Calculate the lowest common multiple of m and 120. 600 Suppose -f = 0, 4*o - 11 = -5*f + 1. Suppose o*p - 5*b = 9, 5*p = b - 2*b + 43. Suppose -2*t = -6*t + 72. Calculate the lowest common multiple of p and t. 72 Let l(f) = -17*f + 274. What is the lowest common multiple of l(15) and 114? 114 Calculate the common denominator of (-2)/(240/(-1134)) + (-3 - 1) and 1 + 0 + 71/(-20). 20 Suppose 2*d - d - 427 = 0. Let q = 700 + -658. Calculate the least common multiple of d/q - (-2)/(-12) and 3. 30 Suppose -9*t + 300 = -3*t. Calculate the least common multiple of 40 and t. 200 Let l = 14 + -14. Suppose l = 3*c + 9, 5*y + 8 - 33 = 5*c. Suppose 9*n = 4*n + 50. Calculate the smallest common multiple of y and n. 10 Let z be 3 - 1/6*1351. Let u = z + 655/3. Let g = -6845/8 - -1719/2. Calculate the common denominator of u and g. 24 Let s = -153 - -153. Suppose s = -19*l + 17*l + 10. Calculate the lowest common multiple of l and 2. 10 Let w = 11 + -9. What is the lowest common multiple of w and 3/2*(-3)/(-18)*8? 2 Calculate the common denominator of 0 + (-212)/640*2 and -85/16. 80 What is the common denominator of (-3741)/(-1392) + -1 + (-3)/(-2) and -101/2? 16 Let f = 36820651/1838 + -20033. Let k = -82689/12866 + f. Calculate the common denominator of k and 1 - (0 + (-86)/(-16)). 56 Let b(x) = -x**2 + 19*x - 14 + 3*x - x. Let d be b(20). Let k = 28 - d. Calculate the least common multiple of k and 12. 132 Calculate the common denominator of (-2)/5 - 22358/(-53970) and -25/9. 2313 Suppose 0 = 3*c - 4*c + 3. Suppose -5*g = -6*g + 4. Suppose g*p + 5 + 2 = -5*w, -2*w = p + 4. What is the lowest common multiple of p and c? 6 Suppose 5*q - 6 = 7*q. Calculate the common denominator of 15/220*(72 + 2) and (-2)/q*(-308)/(-16). 66 Let b(j) = j + 11. Let r be b(0). Suppose -5*s = -r*s + 108. Calculate the least common multiple of s and 27. 54 Let c(g) = g + 1. Let j be c(-6). Find the common denominator of 31/2 and (-2)/12*(0 - j - -39). 6 Find the common denominator of 429/81*(-3)/2 and 246/420*-3 + (-4)/(-10). 126 Let o(p) = p**2 - 4*p + 3. Suppose 4 - 9 = -k. Suppose -5*x = 0, -2*a - 24 = -5*x - 56. What is the least common multiple of o(k) and a? 16 Let i(l) = -2*l + 77. Let v be i(-26). Let y = -880/7 + v. What is the common denominator of y and 0 + (-19)/(-9) + -1? 63 Suppose -3*w = -5*a + 20, -3*a + 11 = 2*w - 4*w. Calculate the least common multiple of 8/(-20) - 7/(-5) and a. 7 Let w = 24 + -17. Suppose 4*u = 2*h + 26, -2*u - h - h - 2 = 0. What is the smallest common multiple of w and u? 28 Suppose 260 + 780 = 13*q. Let d = q - 72. What is the lowest common multiple of d and 4? 8 Let a(j) = -j + 58. Calculate the smallest common multiple of 5 and a(-7). 65 Let r = 438 + -396. What is the smallest common multiple of 4 and r? 84 Let w = -62 + 132. Let y = w + -4. What is the smallest common multiple of 10 and y? 330 Let g = 418 + -386. Calculate the lowest common multiple of g and 252. 2016 Suppose -3*q + 672 - 207 = 0. What is the lowest common multiple of q and 310? 310 Let a(p) be the third derivative of p**5/60 - p**2. Suppose 0 = -5*q - k + 62, 5 + 24 = 2*q - k. What is the least common multiple of q and a(3)? 117 Suppose -n - 4*u + 2*u + 6 = 0, u + 46 = 3*n. Calculate the smallest common multiple of 6/9 + (-12)/(-9) and n. 14 Suppose 2*s - 142 = -4*p, 3*p - p + 4*s = 86. Let t(f) = 3*f**2 - 390*f + 1551. What is the smallest common multiple of p and t(4)? 429 Let x be 35/20*19246/11. Let a = x + -3059. Find the common denominator of 99/8 and a. 88 Let u(k) = 3*k**2 - 23*k**3 + 0*k - 1 + 3*k + 19*k**3 - k. Calculate the least common multiple of 2 and u(-1). 4
{ "pile_set_name": "DM Mathematics" }
+ 410861*l. 74*l Collect the terms in -238*d**3 - 679*d**3 + 879*d**3. -38*d**3 Collect the terms in 425*i - 2656*i + 99*i. -2132*i Collect the terms in 2*v**2 - 7028 - 2*v**2 + 615 + 0*v**2 + v**2. v**2 - 6413 Collect the terms in 1014*m**2 - 1014*m**2 + 773*m**3 - 464*m**3 - 5227*m**3. -4918*m**3 Collect the terms in -405*z**3 - 671*z**3 + 1031*z**3. -45*z**3 Collect the terms in -151*p**2 + 772*p**2 - 208*p**2 - 42*p - 211*p**2 + 42*p - 206*p**2. -4*p**2 Collect the terms in -2670*q + 420494 - 420494. -2670*q Collect the terms in -66342*f**2 + 5*f + 3*f + 66293*f**2 - 8*f. -49*f**2 Collect the terms in 233305236 - 233305236 + 17*u. 17*u Collect the terms in -4*t**2 - 19*t**2 + 1059*t**3 + 23*t**2 + 196*t**3. 1255*t**3 Collect the terms in -1058 - 232 + 3*w**2 + 24 - w. 3*w**2 - w - 1266 Collect the terms in -2972*b - 13816*b - 6 + 4 - 30896*b. -47684*b - 2 Collect the terms in -341 - 12*o**2 + 5098*o + 683 - 342. -12*o**2 + 5098*o Collect the terms in -227*s + 137*s + 2*s. -88*s Collect the terms in -277*a**3 - 115*a - 115*a - 94*a + 228*a + 96*a. -277*a**3 Collect the terms in -3*y + 1 + 9*y - 19*y - 1 + 17. -13*y + 17 Collect the terms in -114861*m**2 - 236871*m**2 - 209641*m**2 + 120277*m**2. -441096*m**2 Collect the terms in -77 - 83 - 79 + 315 - 2*x**2 + 36*x**2 - 78. 34*x**2 - 2 Collect the terms in -1729*q**2 + 885*q**2 - 1526*q**2 - 483*q**2. -2853*q**2 Collect the terms in 221*n + 82*n**2 + 97*n - 14*n**3 - 76*n**2. -14*n**3 + 6*n**2 + 318*n Collect the terms in -74 + 9780*q**2 + 9761*q**2 - 19537*q**2. 4*q**2 - 74 Collect the terms in 2*k - 30*k - 18*k + 54*k - 45*k - 4*k. -41*k Collect the terms in 865*j + 3875*j + 4384*j. 9124*j Collect the terms in 32 - 96 + 205113*o - 422 - 205112*o. o - 486 Collect the terms in 7*c + 50*c + 0*c + 16*c - 88*c + c + 6*c. -8*c Collect the terms in 4 - 52*j - 397*j**2 - 508*j**2 - 57*j. -905*j**2 - 109*j + 4 Collect the terms in 1560 + 1559 - 527 - 2594 + 8*h. 8*h - 2 Collect the terms in -13596*d + 3 + 4468*d + 4417*d + 3892*d. -819*d + 3 Collect the terms in 251 + 4*x - 738 + 250 - 3*x**2 + 247. -3*x**2 + 4*x + 10 Collect the terms in 105 - 48 - 61 - 230*t - 14*t**2 + 15*t**2. t**2 - 230*t - 4 Collect the terms in -5143512*z**2 + 5143512*z**2 - 71858*z**3. -71858*z**3 Collect the terms in -487*w + 2303*w + 3283*w. 5099*w Collect the terms in 168*c**2 + 129*c**2 + 199*c**2 - 633*c**2 + 163*c**2. 26*c**2 Collect the terms in -13045*u**3 - 34*u + 13047*u**3 - 44*u**2 + 13*u + 21*u - 4*u**2. 2*u**3 - 48*u**2 Collect the terms in -4*y - 3408031 - 3408037 + 13632109 + 2*y - 3408037 - 3408004. -2*y Collect the terms in -12425*w + 23 - 12441*w + 37376*w - 23 - 12428*w. 82*w Collect the terms in -51416 + 21*k**3 + 51402 - 238*k**3. -217*k**3 - 14 Collect the terms in -11993*p + 5002*p + 1600*p - 23343*p. -28734*p Collect the terms in 452*b**2 - 153*b**2 + 293*b**2 + 122*b**2. 714*b**2 Collect the terms in -61 - 39*v**2 - 62 - 109 + 232. -39*v**2 Collect the terms in -54978*t**3 - 55484*t**3 - 7*t + 110456*t**3. -6*t**3 - 7*t Collect the terms in 131*o**3 + 10*o**3 - 33*o**3 + 17*o**3 - 25*o**3 + 1 - 10*o**3. 90*o**3 + 1 Collect the terms in 35*v + 3 + 60*v + 34*v - 2 - 20*v. 109*v + 1 Collect the terms in 1003*m + 999*m + 741*m - 2680*m. 63*m Collect the terms in 1420*b**3 - 1714*b**3 - 1219*b**3 - 1788*b**3 - 6171*b**3. -9472*b**3 Collect the terms in 15917*w**2 + 347*w**2 - 63*w + 8*w + 55*w. 16264*w**2 Collect the terms in -24*n**3 + 0 + 102*n**3 - 151*n**3 + 1 - 1 - 1. -73*n**3 - 1 Collect the terms in -676214933*z + 676214931*z - 42 + 11. -2*z - 31 Collect the terms in 3585910 + 36*d**2 - 7172155 + 3586245. 36*d**2 Collect the terms in -11083 - 2*y**2 - 11081 - 7*y**3 - 11077 - 11080 + 44321. -7*y**3 - 2*y**2 Collect the terms in 83362 - 83360 - 200*r**2 + 26*r**2. -174*r**2 + 2 Collect the terms in -12141995*t**3 - 6*t + 6*t + 154836*t**3. -11987159*t**3 Collect the terms in -23*p**2 + 10124399041*p**3 - 10124399039*p**3 + 23*p**2. 2*p**3 Collect the terms in 80*t**2 - 25*t**2 + 23*t - 14*t**2 - 19*t**2 - 20*t**2 - 9*t**2. -7*t**2 + 23*t Collect the terms in 3 - 13*z + 345*z**2 + 1203*z**2 - 2 + 5*z + 7*z. 1548*z**2 - z + 1 Collect the terms in -1418*q - 1953*q + 3372*q - 57. q - 57
{ "pile_set_name": "DM Mathematics" }
b. Calculate the common denominator of k and 95/16. 16 Suppose -1 = s - 0*s + 2*i, -3*i = 4*s - 6. What is the lowest common multiple of 1/2*(121 + s) and 12? 372 Let j = 17/80 + -1771/240. What is the common denominator of j and -251*7/798 + 3? 114 Let j = -34 - -118. Let b be (-1101)/j - 3/21. Let d = -81/4 + b. What is the common denominator of 35/26 and d? 26 Suppose -3*g = 3*o - 4*o - 24, 3*o + 3*g = -48. Calculate the least common multiple of (-2)/(-7) - (-68)/7 and o/6 + 7/1. 20 Let n = 19 + -4. Calculate the smallest common multiple of n and 33. 165 Suppose -37*u + 6734 = 54*u. Calculate the lowest common multiple of u and 1. 74 Suppose 0 = 2*x - 2*r - 24, 0 = -r - 2*r - 12. Let f(p) = p**3 - 11*p**2 + 23*p + 17. Calculate the smallest common multiple of x and f(8). 72 What is the common denominator of -13/200 and (-13 - -2) + (-18445)/(-2550)? 600 What is the common denominator of -3*221/(-60) + (-7)/(-28) and 61/60? 60 Let x(u) = -3*u - 56. Calculate the smallest common multiple of x(-24) and 172. 688 Let i = -5332 + 42597/8. Let x = 1591 + -9505/6. Find the common denominator of x and i. 24 Let b = -5/404 - -21447/2828. Suppose -m + 643 = 2*l + 2*m, -2*m + 1306 = 4*l. Let d = 1631/5 - l. Find the common denominator of b and d. 35 Let t = -212663/1151280 + -80/14391. Find the common denominator of 19/15 and t. 720 Let r be 33/22*(-39013)/84. Let q = r + 13/56. Let c = q - -694. Find the common denominator of -45/7 and c. 7 Let l = -31807 + 2862733/90. Calculate the common denominator of l and -109/54. 270 Suppose 5*t = -4*b + 66, -4*b - t = -72 + 14. Let i = b - 4. What is the lowest common multiple of i and (1/4)/(2/16)? 10 Let x be (1356/16)/((-3)/(-2)). Let u = x + -27. What is the common denominator of u and ((-5)/15)/(14/(-39))? 14 Let z = -209 + 242. Let a = 10 + -4. Calculate the least common multiple of a and z. 66 Let j(a) = 10*a + 1. Suppose 9 = 6*x - 3*x. Calculate the smallest common multiple of (1 - -2) + 2 + x and j(1). 88 Suppose 36*z = 27*z + 405. Calculate the lowest common multiple of z and 20. 180 Let b = 48 + -44. Calculate the common denominator of -35/8 and (-245)/(-56) + (-2)/b + 1. 8 Let z be ((-21)/14)/((-1)/6). Let g = z + 11. Let k = -30 - -50. What is the lowest common multiple of k and g? 20 Let o(q) = q**3 + 9*q**2 + 9*q + 11. Let r be o(-8). Let s be (-14 - 0)*2/(-7 + 11). Let v = r - s. Calculate the least common multiple of v and 16. 80 Suppose -2 + 1 = 5*f + 4*i, -2*f - 3*i = 6. Find the common denominator of 1346/208 - (-5 + (-378)/(-78)) and 136/(-14) - (f - 5). 56 Let l(v) = v + 10. Let k be l(-7). What is the lowest common multiple of 4 and (k - (-4 - 0)) + 1 + 2? 20 Suppose 570 = -6*s + 8*s. Suppose 0 = -5*o + 2*o + s. Find the common denominator of (o/7)/((-12)/(-14)) and -63/10. 30 Suppose -2*y + c = -24, -3*c - 16 - 8 = -2*y. Suppose -3*f = 3, 0 = -7*o + 2*o - 5*f + 185. What is the least common multiple of y and o? 228 Let w(f) = 5*f + 2. Calculate the least common multiple of (-2110)/(-70) + 1/(-7) and w(2). 60 Let p(h) = 3*h + 29. Let d be p(-10). Let z = 41 - 23. Calculate the smallest common multiple of (4 + -23)*d + 3 and z. 198 Suppose 0 = -2*t + 12*z - 10*z + 176, 0 = -2*t + z + 172. What is the least common multiple of t and 14? 84 What is the common denominator of (-79)/(-18) + 4/(-1) and (-8)/168*(-219)/2? 126 Suppose 19*d - 40 + 2 = 0. Let i(o) = 5*o**2 + 2. Suppose -s = 2*z + 6, 5*s - z - 11 = 3. What is the lowest common multiple of d and i(s)? 22 Suppose 0 = -5*c + c - 24. What is the common denominator of 73/2 and (-482)/120 + (-4)/c? 20 Let q be -26 + (-6 - -2 - -3). Let g = 39 + q. Let y(s) = s**3 - s**2 - 2. What is the smallest common multiple of y(3) and g? 48 Let q = 295728 - 56779631/192. What is the common denominator of q and -77/36? 576 Let y = -2/5523 + 156497/33138. What is the common denominator of 62/81 and y? 162 Let p = 68 - 107. What is the least common multiple of (-48)/(-12) + ((-1)/(-1) - p) and 48? 528 Let t(p) = -p + 7. Let s = 28 + -16. Let k = s - 6. What is the least common multiple of 7 and t(k)? 7 Let w = -15130797/262120 - -2309/40. Let y = 399685/157272 + w. What is the common denominator of 81/4 and y? 24 Let d = -3504 + 52579/15. What is the common denominator of -92/15 and d? 15 Let i(j) = -j**3 - 5*j**2 - 6*j + 3. Let l be i(-3). What is the common denominator of 23/11 and (570/130)/(3/2) - l? 143 Let j(n) = 13*n**2 + 5*n + 4. What is the smallest common multiple of 20*-1*(-38 - -37) and j(-1)? 60 Let z = 176 + -175. Let a = 16 - 38. Let r = a - -31. Calculate the smallest common multiple of r and z. 9 Suppose -2*c = 863321 + 152027. Let r = 5072637/10 + c. Let u = r - -1639/4. Calculate the common denominator of -95/2 and u. 20 Let w(v) = 50*v - 1. Let l be w(1). Let c = l + -19. Suppose -244*j - 8 = -246*j. What is the smallest common multiple of j and c? 60 Let b = 870 + -583. Calculate the least common multiple of b and 82. 574 Let j(z) = -489*z + 11. Let g be j(6). Let n = 40945/14 + g. Find the common denominator of 67/88 and n. 616 Let z = 1/7323 + 270934/124491. Calculate the common denominator of z and 7/11. 187 Let o = -9419/64668 + -2/317. Find the common denominator of o and -77/18. 612 Let b be 4/6996*237822/56. Let p = b - -1/2332. What is the common denominator of (-54)/(-240
{ "pile_set_name": "DM Mathematics" }
s the v'th term of -46, -90, -134, -178, -222? -44*v - 2 What is the l'th term of 45, 75, 105, 135, 165? 30*l + 15 What is the v'th term of 493, 494, 495, 496? v + 492 What is the m'th term of -26, -130, -412, -962, -1870, -3226? -15*m**3 + m**2 - 2*m - 10 What is the r'th term of -76, -192, -376, -622, -924? r**3 - 40*r**2 - 3*r - 34 What is the h'th term of -485, -483, -481, -479, -477, -475? 2*h - 487 What is the j'th term of 5, 16, 45, 92, 157, 240, 341? 9*j**2 - 16*j + 12 What is the c'th term of -21, -34, -61, -108, -181, -286, -429? -c**3 - c**2 - 3*c - 16 What is the j'th term of -422, -846, -1270, -1694? -424*j + 2 What is the z'th term of -12, -19, -4, 45, 140? 2*z**3 - z**2 - 18*z + 5 What is the m'th term of -265, -294, -343, -412? -10*m**2 + m - 256 What is the u'th term of -1374, -1372, -1370, -1368, -1366? 2*u - 1376 What is the s'th term of -159, -322, -483, -642, -799, -954? s**2 - 166*s + 6 What is the z'th term of 6, 2, -12, -36, -70, -114? -5*z**2 + 11*z What is the r'th term of -3, 23, 49, 75? 26*r - 29 What is the y'th term of 1518, 1505, 1468, 1395, 1274, 1093? -2*y**3 + y + 1519 What is the v'th term of -60, -54, -48, -42, -36? 6*v - 66 What is the k'th term of 97, 98, 99, 100, 101? k + 96 What is the t'th term of 20, 19, 10, -7, -32, -65, -106? -4*t**2 + 11*t + 13 What is the i'th term of 21, 56, 111, 186? 10*i**2 + 5*i + 6 What is the m'th term of 109, 219, 329, 439, 549? 110*m - 1 What is the f'th term of -50, -88, -128, -170, -214, -260, -308? -f**2 - 35*f - 14 What is the o'th term of -575, -592, -621, -662? -6*o**2 + o - 570 What is the p'th term of 654, 659, 660, 651, 626, 579, 504, 395? -p**3 + 4*p**2 + 651 What is the f'th term of -297, -595, -893, -1191? -298*f + 1 What is the m'th term of 45, 54, 63, 72? 9*m + 36 What is the l'th term of -57, -108, -157, -204, -249? l**2 - 54*l - 4 What is the v'th term of 988, 1982, 2978, 3976? v**2 + 991*v - 4 What is the u'th term of -559, -1101, -1643, -2185, -2727? -542*u - 17 What is the b'th term of -47, -50, -55, -62, -71? -b**2 - 46 What is the d'th term of 355, 710, 1065? 355*d What is the l'th term of -16, -4, 18, 56, 116, 204, 326? l**3 - l**2 + 8*l - 24 What is the z'th term of 77, 153, 229, 305? 76*z + 1 What is the i'th term of 443, 899, 1369, 1859, 2375, 2923, 3509? i**3 + i**2 + 446*i - 5 What is the k'th term of 352, 1380, 3088, 5470, 8520, 12232, 16600, 21618? -k**3 + 346*k**2 - 3*k + 10 What is the i'th term of 150, 149, 148? -i + 151 What is the r'th term of -12, 332, 1264, 3078, 6068? 49*r**3 + r - 62 What is the n'th term of -506, -983, -1458, -1931, -2402, -2871, -3338? n**2 - 480*n - 27 What is the b'th term of 1178, 1155, 1130, 1103? -b**2 - 20*b + 1199 What is the o'th term of -188, -380, -582, -800, -1040, -1308, -1610, -1952? -o**3 + o**2 - 188*o What is the o'th term of -51, -52, -55, -60, -67? -o**2 + 2*o - 52 What is the w'th term of 36, 88, 140, 192, 244, 296? 52*w - 16 What is the r'th term of -13, -138, -345, -634, -1005, -1458? -41*r**2 - 2*r + 30 What is the o'th term of -108, -116, -124, -132, -140, -148? -8*o - 100 What is the p'th term of -88, -89, -92, -97, -104, -113? -p**2 + 2*p - 89 What is the j'th term of 123, 119, 105, 75, 23? -j**3 + j**2 + 123 What is the k'th term of -45, -83, -121, -159, -197, -235? -38*k - 7 What is the l'th term of -6, -14, -14, 0, 34, 94? l**3 - 2*l**2 - 9*l + 4 What is the y'th term of -148, -239, -332, -427, -524, -623, -724? -y**2 - 88*y - 59 What is the c'th term of -1122, -1124, -1126? -2*c - 1120 What is the j'th term of 422, 838, 1254, 1670, 2086? 416*j + 6 What is the g'th term of 25, 41, 75, 133, 221, 345, 511, 725? g**3 + 3*g**2 + 21 What is the q'th term of 10, 12, 24, 52, 102, 180, 292, 444? q**3 - q**2 - 2*q + 12 What is the z'th term of -186, -330, -474, -618, -762? -144*z - 42 What is the z'th term of 567, 565, 563, 561, 559? -2*z + 569 What is the t'th term of 40, 54, 78, 112? 5*t**2 - t + 36 What is the p'th term of 1076, 2154, 3232? 1078*p - 2 What is the y'th term of -63, -124, -181, -234? 2*y**2 - 67*y + 2 What is the i'th term of -2018, -2016, -2014, -2012, -2010? 2*i - 2020 What is the j'th term of 195, 219, 245, 273? j**2 + 21*j + 173 What is the x'th term of -107, -121, -143, -173, -211, -257? -4*x**2 - 2*x - 101
{ "pile_set_name": "DM Mathematics" }
5, to the nearest integer? 9 What is 39618 to the power of 1/10, to the nearest integer? 3 What is the square root of 4509396 to the nearest integer? 2124 What is the square root of 484164 to the nearest integer? 696 What is the cube root of 2749040 to the nearest integer? 140 What is 3360820 to the power of 1/2, to the nearest integer? 1833 What is 13938705 to the power of 1/7, to the nearest integer? 10 What is 19641500 to the power of 1/8, to the nearest integer? 8 What is the third root of 265013 to the nearest integer? 64 What is 1950738 to the power of 1/10, to the nearest integer? 4 What is the third root of 826477 to the nearest integer? 94 What is the eighth root of 19887900 to the nearest integer? 8 What is 15181456 to the power of 1/3, to the nearest integer? 248 What is 5845393 to the power of 1/9, to the nearest integer? 6 What is the sixth root of 79515 to the nearest integer? 7 What is the eighth root of 1311107 to the nearest integer? 6 What is the cube root of 237676 to the nearest integer? 62 What is 16663668 to the power of 1/3, to the nearest integer? 255 What is the square root of 34883442 to the nearest integer? 5906 What is 4025495 to the power of 1/8, to the nearest integer? 7 What is 622903 to the power of 1/2, to the nearest integer? 789 What is the cube root of 536929 to the nearest integer? 81 What is the third root of 1076135 to the nearest integer? 102 What is 3889209 to the power of 1/2, to the nearest integer? 1972 What is 5453749 to the power of 1/7, to the nearest integer? 9 What is the third root of 3406596 to the nearest integer? 150 What is the seventh root of 22416091 to the nearest integer? 11 What is 6702491 to the power of 1/2, to the nearest integer? 2589 What is 118053 to the power of 1/2, to the nearest integer? 344 What is 3562812 to the power of 1/2, to the nearest integer? 1888 What is 14074980 to the power of 1/9, to the nearest integer? 6 What is the cube root of 415658 to the nearest integer? 75 What is the square root of 3075438 to the nearest integer? 1754 What is 1249703 to the power of 1/6, to the nearest integer? 10 What is 261275 to the power of 1/10, to the nearest integer? 3 What is the cube root of 2907625 to the nearest integer? 143 What is the eighth root of 21131 to the nearest integer? 3 What is the third root of 323279 to the nearest integer? 69 What is the third root of 373514 to the nearest integer? 72 What is the third root of 2635537 to the nearest integer? 138 What is the square root of 109124 to the nearest integer? 330 What is the sixth root of 416793 to the nearest integer? 9 What is the third root of 6559766 to the nearest integer? 187 What is the square root of 1628615 to the nearest integer? 1276 What is the square root of 488679 to the nearest integer? 699 What is 12580675 to the power of 1/3, to the nearest integer? 233 What is the tenth root of 180124 to the nearest integer? 3 What is the seventh root of 112666 to the nearest integer? 5 What is the square root of 2716196 to the nearest integer? 1648 What is the square root of 3668537 to the nearest integer? 1915 What is the square root of 583627 to the nearest integer? 764 What is the eighth root of 7453199 to the nearest integer? 7 What is 4166521 to the power of 1/4, to the nearest integer? 45 What is 5267676 to the power of 1/3, to the nearest integer? 174 What is the cube root of 33443655 to the nearest integer? 322 What is 244461 to the power of 1/3, to the nearest integer? 63 What is 20072861 to the power of 1/2, to the nearest integer? 4480 What is 237578 to the power of 1/9, to the nearest integer? 4 What is the third root of 27860873 to the nearest integer? 303 What is 320605 to the power of 1/3, to the nearest integer? 68 What is the square root of 1412811 to the nearest integer? 1189 What is the square root of 127802 to the nearest integer? 357 What is the square root of 62302 to the nearest integer? 250 What is the third root of 1016378 to the nearest integer? 101 What is 2822907 to the power of 1/4, to the nearest integer? 41 What is 232878 to the power of 1/5, to the nearest integer? 12 What is the third root of 560854 to the nearest integer? 82 What is the fifth root of 1161266 to the nearest integer? 16 What is the third root of 175276 to the nearest integer? 56 What is the third root of 450461 to the nearest integer? 77 What is the fourth root of 168413 to the nearest integer? 20 What is the square root of 238918 to the nearest integer? 489 What is 107568 to the power of 1/8, to the nearest integer? 4 What is 6050160 to the power of 1/9, to the nearest integer? 6 What is the cube root of 1445115 to the nearest integer? 113 What is 280843 to the power of 1/5, to the nearest integer? 12 What is 649011 to the power of 1/2, to the nearest integer? 806 What is 699284 to the power of 1/2, to the nearest integer? 836 What is the cube root of 153089 to the nearest integer? 53 What is the fifth root of 3033672 to the nearest integer? 20 What is the square root of 241300 to the nearest integer? 491 What is the cube root of 947969 to the nearest integer? 98 What is the cube root of 2378186 to the nearest integer? 133 What is the third root of 2311415 to the nearest integer? 132 What is 293889 to the power of 1/2, to the nearest integer? 542 What is the cube root of 894485 to the nearest integer? 96 What is the square root of 237344 to the nearest integer? 487 What is the square root of 6455785 to the nearest integer? 2541 What is the third root of 14913252 to the nearest integer? 246 What is the seventh root of 165599 to the nearest integer? 6 What is the square root of 169878 to the nearest integer? 412 What is 1755799 to the power of 1/4, to the nearest integer? 36 What is 19824 to the power of 1/3, to the nearest integer? 27 What is the square root of 567844 to the nearest integer? 754 What is 735045 to the power of 1/3, to the nearest integer? 90 What is 178176 to the power of 1/7, to the nearest integer? 6 What is the cube root of 19659167 to the nearest integer? 270 What is the ninth root of 770358 to the nearest integer? 5 What is 169301 to the power of 1/3, to the nearest integer? 55 What is 820531 to the power of 1/2, to the nearest integer? 906 What is the tenth root of 1387455 to the nearest integer? 4 What is 342156 to the power of 1/7, to the nearest integer? 6 What is the square root of 2519238 to the nearest integer? 1587 What is 1355582 to the power of 1/2, to the nearest integer? 1164 What is the tenth root of 567872 to the nearest integer? 4 What is the square root of 1403563 to the nearest integer? 1185 What is the square root of 421568 to the nearest integer? 649 What is the square root of 163750 to the nearest integer? 405 What is the seventh root of 174046 to the nearest integer? 6 What is 9632127 to the power of 1/2, to the nearest integer? 3104 What is the fifth root of 3688581 to the nearest integer? 21 What is
{ "pile_set_name": "DM Mathematics" }
ase 10, what is -2997 + -5? -3002 In base 2, what is 11 + -10001? -1110 In base 5, what is 231 - -33? 314 In base 6, what is 30 + -243? -213 In base 4, what is -1211 - 0? -1211 In base 7, what is -302 - -10? -262 In base 7, what is -105 + 11? -64 In base 7, what is -53 - -42? -11 In base 9, what is 1587 + -4? 1583 In base 10, what is 228 + 4? 232 In base 12, what is -6 + -5b? -65 In base 7, what is -313 + 0? -313 In base 13, what is -2 + 258? 256 In base 12, what is 4b + 5? 54 In base 3, what is 11112 - 1? 11111 In base 5, what is -11 - 24? -40 In base 8, what is -2 - 652? -654 In base 9, what is 2 - -13? 15 In base 7, what is 214 - 3? 211 In base 15, what is 7 - 483? -47b In base 7, what is -11 - -16? 5 In base 10, what is -290 + 3? -287 In base 3, what is -2220 - -12? -2201 In base 7, what is 3 - 1232? -1226 In base 14, what is 38 - 92? -58 In base 8, what is -14 + 41? 25 In base 6, what is 35315 - 5? 35310 In base 2, what is -1 + 111010010? 111010001 In base 3, what is 22010 - 221? 21012 In base 4, what is 2 + -201? -133 In base 16, what is 793 - -1? 794 In base 16, what is 4 + 0? 4 In base 9, what is -3 - -41? 37 In base 14, what is -69 - a6? -131 In base 9, what is 1 - 7387? -7386 In base 12, what is -268 + -3? -26b In base 10, what is -320 - 2? -322 In base 9, what is 336 + -58? 267 In base 7, what is -3 - -430? 424 In base 4, what is -3 + -2103? -2112 In base 16, what is -ac + 5? -a7 In base 2, what is 10100000011 - -100? 10100000111 In base 16, what is -14e + 1? -14d In base 12, what is -12 + -28? -3a In base 11, what is 6 + 27? 32 In base 16, what is -2e9f + 1? -2e9e In base 12, what is 367 - 2? 365 In base 6, what is -2443 - 21? -2504 In base 14, what is -3 - 59? -5c In base 9, what is -132 + -1? -133 In base 16, what is -d + 0? -d In base 7, what is 0 + -226? -226 In base 8, what is 143 - 3? 140 In base 4, what is 120 + -31? 23 In base 16, what is -5 - 509? -50e In base 9, what is 542 - -25? 567 In base 6, what is -23034 - -4? -23030 In base 2, what is 11 - -10000? 10011 In base 8, what is -124 - 2? -126 In base 9, what is -16 + 2? -14 In base 16, what is -17 + -b? -22 In base 7, what is -2 + -33? -35 In base 8, what is -4 - -70? 64 In base 14, what is a0 - -29? c9 In base 14, what is -22 - 35? -57 In base 15, what is 1 - -36? 37 In base 7, what is -2431 + -2? -2433 In base 12, what is 6b + -14? 57 In base 14, what is -1 - -d4? d3 In base 11, what is 9 - -38? 46 In base 14, what is 3 + -1611? -160c In base 2, what is -10010100 - -10? -10010010 In base 15, what is -c + -13? -20 In base 16, what is 71 + 3? 74 In base 9, what is -65 + -26? -102 In base 7, what is 366 + -204? 162 In base 9, what is 14 + -28? -14 In base 15, what is -7c + 10? -6c In base 16, what is -86 + 5? -81 In base 6, what is 25522 + -4? 25514 In base 8, what is -1 - 50? -51 In base 12, what is -15 - -4? -11 In base 13, what is 10 + -2? b In base 8, what is -1435 + 5? -1430 In base 8, what is 3 - -1544? 1547 In base 16, what is 11 - 7? a In base 15, what is -7c + 1? -7b In base 13, what is 17 + 4? 1b In base 3, what is -20 + -22021? -22111 In base 8, what is 30 - 36? -6 In base 6, what is -445541 - 5? -445550 In base 8, what is 13 + -12? 1 In base 16, what is -3 + -a7? -aa In base 8, what is -1123 - -2? -1121 In base 10, what is 4 + -25? -21 In base 8, what is 2 + -230? -226 In base 10, what is 3 - 168? -165 In base 8, what is -5 + 702? 675 In base 16, what is -c + 4? -8 In base 8, what is 27 - -63? 112 In base 3, what is -2 - -111? 102 In base 7, what is 15 - -5? 23 In base 13, what is 2c2 + 22? 314 In base 2, what is 100 - -10? 110 In base 2, what is 100010100 + 111? 100011011 In base 12, what is 6 - 276? -270 In base 15, what is -1e - 33? -52 In base 5, what is -103 - -12? -41 In base 11, what is 3 - -438? 440 In base 2, what is 11 + 110000000? 110000011 In base 14, what is 5aa1 + -2? 5a9d In base 13, what is -24 - 2? -26 In base 8, what is -11 + 61? 50 In base 16, what is 7 + -85? -7e In base 10, what is -14 + 50? 36 In base 14, what is 257 + 1? 258 In base 16, what is 4 + -952? -94e In base 2, what is -10100000 - -100? -10011100 In base 5, what is -240242 - 0? -240242 In base 5, what is 13 - -11121? 11134 In base 10, what is 3 + -83? -80 In base 13, what is 19 + -6? 13 In base 12, what is 721 + -1? 720 In base 3, what is -12 - 1220022? -1220111 In base 14, what is -2 + -1983? -1985 In base 11, what is 10 + 232? 242 In base 7, what is 16 - 24? -5 In base 9, what is 25 - -12? 37 In base 3, what is -2 - 10111002? -10111011 In base 16, what is 4 + -123? -11f In base 8, what is 1 + 16? 17 In base 5, what is -2 - -213? 211 In base 10
{ "pile_set_name": "DM Mathematics" }
ce rjj. 0 Two letters picked without replacement from jviwimu. Give prob of sequence wv. 1/42 Three letters picked without replacement from yduugududuuddyuddddd. What is prob of sequence ydd? 1/38 What is prob of sequence hn when two letters picked without replacement from eeeneehhenee? 1/33 Calculate prob of sequence av when two letters picked without replacement from axqmmaqvrqqrmxr. 1/105 Three letters picked without replacement from fvvzzzzdzzef. What is prob of sequence dzv? 1/110 Calculate prob of sequence ei when two letters picked without replacement from {p: 5, l: 6, e: 1, i: 2, s: 2}. 1/120 Calculate prob of sequence ysft when four letters picked without replacement from {t: 3, s: 5, f: 3, a: 1, y: 1}. 3/1144 Two letters picked without replacement from {z: 1, y: 1, h: 1, k: 4, m: 3, j: 2}. What is prob of sequence zm? 1/44 Four letters picked without replacement from ytttytttt. What is prob of sequence ytty? 1/36 Four letters picked without replacement from {h: 4, v: 6}. Give prob of sequence vvhv. 2/21 What is prob of sequence uyvv when four letters picked without replacement from yuvyvuyuyvvuuvuu? 1/78 Four letters picked without replacement from {e: 2, w: 7, q: 2, r: 2, a: 4}. What is prob of sequence rwae? 1/510 Two letters picked without replacement from jmjfxjjcj. Give prob of sequence cx. 1/72 Calculate prob of sequence zk when two letters picked without replacement from {k: 6, q: 1, z: 10}. 15/68 Calculate prob of sequence vuv when three letters picked without replacement from {u: 7, v: 9}. 3/20 Two letters picked without replacement from eekepkeeeekkese. What is prob of sequence sk? 2/105 Two letters picked without replacement from aavvvav. What is prob of sequence aa? 1/7 What is prob of sequence pk when two letters picked without replacement from kewrp? 1/20 Two letters picked without replacement from {h: 2, g: 2, w: 3, d: 9}. What is prob of sequence gd? 3/40 What is prob of sequence wt when two letters picked without replacement from nfftwttttrwfttftw? 3/34 Two letters picked without replacement from ewmmexvxevvwxmvvee. What is prob of sequence vx? 5/102 Four letters picked without replacement from {u: 3, i: 2, q: 9, o: 3}. Give prob of sequence iuiq. 9/9520 What is prob of sequence dnfi when four letters picked without replacement from nioonofndki? 1/1320 Four letters picked without replacement from {b: 8, s: 5}. Give prob of sequence sbss. 4/143 Two letters picked without replacement from ljjljujljjuuljjjjujj. Give prob of sequence lu. 4/95 Three letters picked without replacement from jkjjjkjjkjjjjjjjjk. What is prob of sequence kkj? 7/204 Three letters picked without replacement from {a: 5, g: 2, p: 5, n: 1, t: 5, h: 2}. Give prob of sequence nah. 1/684 Two letters picked without replacement from {g: 2, p: 6}. What is prob of sequence gg? 1/28 Three letters picked without replacement from gguggggug. Give prob of sequence gug. 1/6 What is prob of sequence td when two letters picked without replacement from cktcvktctcdc? 1/44 Three letters picked without replacement from vdebede. Give prob of sequence ede. 2/35 What is prob of sequence hzzr when four letters picked without replacement from {z: 2, r: 9, h: 6}? 9/4760 Three letters picked without replacement from trnnrndnrrn. Give prob of sequence ttr. 0 Two letters picked without replacement from {a: 1, t: 11}. Give prob of sequence at. 1/12 Three letters picked without replacement from {r: 2, n: 4}. Give prob of sequence nrn. 1/5 Two letters picked without replacement from gxyxlgxxxg. Give prob of sequence lg. 1/30 Three letters picked without replacement from {w: 4, x: 6, v: 7}. What is prob of sequence wvv? 7/170 Calculate prob of sequence nfk when three letters picked without replacement from kkuunfv. 1/105 Calculate prob of sequence mqs when three letters picked without replacement from sqbbmqqsbbbsqsqsq. 1/136 Four letters picked without replacement from tttdddd. Give prob of sequence tddd. 3/35 Four letters picked without replacement from ucufuyccyxfxfxxuxcuc. Give prob of sequence fxcy. 5/3876 Two letters picked without replacement from {t: 1, s: 1, d: 6, e: 7}. Give prob of sequence td. 1/35 Three letters picked without replacement from {i: 1, m: 1, k: 4, x: 5}. What is prob of sequence xmi? 1/198 What is prob of sequence vr when two letters picked without replacement from {g: 6, r: 2, u: 1, v: 2}? 2/55 Four letters picked without replacement from ulutuuuluiclttuul. What is prob of sequence tlut? 2/595 What is prob of sequence tzjk when four letters picked without replacement from kdjjkzjjdkkjtjjk? 1/1248 Two letters picked without replacement from uunuuzouuunuuu. Give prob of sequence ou. 5/91 Two letters picked without replacement from {c: 12, e: 6}. What is prob of sequence cc? 22/51 What is prob of sequence ara when three letters picked without replacement from aaqqrrwqqwwqwcqq? 1/840 Calculate prob of sequence pu when two letters picked without replacement from uupauuuaupup. 7/44 Two letters picked without replacement from kkkskxkkktyk. Give prob of sequence ts. 1/132 Two letters picked without replacement from {s: 2, n: 1, h: 4}. What is prob of sequence hn? 2/21 Two letters picked without replacement from {v: 4, f: 10}. What is prob of sequence vv? 6/91 Three letters picked without replacement from pzpp. Give prob of sequence zpp. 1/4 Two letters picked without replacement from ccccccdcdddccccccdc. Give prob of sequence cc. 91/171 Three letters picked without replacement from {q: 1, v: 3, t: 1, o: 2}. Give prob of sequence qvo. 1/35 Calculate prob of sequence kev when three letters picked without replacement from kvkqkxxkxqvkeeqkxqtk. 7/1710 Calculate prob of sequence ap when two letters picked without replacement from acp. 1/6 What is prob of sequence acx when three letters picked without replacement from accxcacaccxcxxxxcxxa? 32/855 Three letters picked without replacement from {q: 4, c: 3, e: 7}. Give prob of sequence ceq. 1/26 Four letters picked without replacement from vskvbkkvbbkvybakvvva. Give prob of sequence kvay. 7/11628 Calculate prob of sequence uuu when three letters picked without replacement from {u: 3}. 1 Four letters picked without replacement from {t: 2, n: 17}. Give prob of sequence nttn. 1/171 Three letters picked without replacement from lfffpll. Give prob of sequence fff. 1/35 Four letters picked without replacement from {m: 2, y: 4, a: 6}. What is prob of sequence yymy? 2/495 Three letters picked without replacement from {y: 14, m: 5}. What is prob of sequence ymm? 140/2907 Two letters picked without replacement from zzhzhzhz. What is prob of sequence hh? 3/28 Calculate prob of sequence cm when two letters picked without replacement from {m: 5, c: 11}. 11/48 Four letters picked without replacement from qfaqfffi. Give prob of sequence qfff. 1/35 Three letters picked without replacement from {a: 1, t: 1, y: 1, f: 4, j: 1, o: 4}. What
{ "pile_set_name": "DM Mathematics" }
me number? True Suppose -4*h = 4*h - 13240. Is h composite? True Is (13 - 26)/((-4)/1732) composite? True Suppose -753 = -5*a - 2*v + 1656, 4*a - 3*v - 1918 = 0. Is a composite? True Suppose -2*p - 3*j + 16553 = 0, -7*j + 16559 = 2*p - 10*j. Is p prime? False Suppose 0 = -8*b + 4 + 12. Is 89*(b/(-3) + 72/27) a prime number? False Let b(f) = 77*f - 9. Let l = -14 + 18. Is b(l) prime? False Let b(m) = -1191*m**3 + 2*m**2 - m - 1. Let z(y) = -3572*y**3 + 5*y**2 - 3*y - 3. Let w(o) = -8*b(o) + 3*z(o). Is w(-1) a composite number? False Let o = -224 - -227. Let i(h) = -60*h + 1. Let w be i(-3). Suppose -5*d = 2*p - w, 128 = 4*d - o*p - p. Is d a composite number? True Let v(s) = 77*s + 8. Let d be (-55)/(-10) + ((-2)/(-1))/(-4). Is v(d) a composite number? True Let c(v) = 41*v**2 - 25*v**2 - 21*v**3 - 18*v**2 + 4. Let w = 1 - 4. Is c(w) a prime number? False Let w be (-13)/(-2) + (-3)/(-6). Suppose -2*p - 5*o - w = 13, 12 = -5*p - 3*o. Suppose 3*n - 1470 - 21 = p. Is n a prime number? False Suppose -j + m - 553 = 0, 0*m = 3*j + 3*m + 1689. Let z = j - -895. Is z prime? True Let j(t) be the third derivative of 0 + 5/24*t**4 - 5/3*t**3 + 0*t + 1/30*t**5 + 4*t**2. Is j(-5) a prime number? False Let p(q) = 126*q - 79. Is p(8) composite? False Suppose 5*o + 2 - 12 = 0. Suppose 7 = o*w - 5. Is (-565)/(-15) + (-4)/w prime? True Let i = -671 - -704. Is i a composite number? True Let j(h) be the second derivative of h**4/2 - h**3/6 - 43*h**2/2 + 23*h. Is j(-14) prime? False Let h be 1 + -3 - (5 - 86). Suppose -m + 27 + h = 0. Let l = m + 60. Is l a prime number? False Let j(c) = c**3 + c + 1. Let v(z) = 6*z**3 - 3*z**2 - 10*z - 16. Let y(u) = 3*j(u) - v(u). Is y(-6) a prime number? False Suppose 3*d + 5*s - 79442 = 0, 4*d - 149155 + 43219 = -4*s. Is d a composite number? False Suppose -15 = 2*d - 7*d. Is d + -6 + (-768)/(-2) a prime number? False Suppose -5*b + 26 = -4*k, 4*b = 3*k + 13 + 7. Suppose 0 = i + 2*q - 137, 4*i = i + b*q + 371. Is i composite? False Let y(r) be the second derivative of 5*r**4/12 - r**3/6 - 11*r**2/2 + 7*r. Is y(6) composite? False Is (1/(-2)*1)/((-2)/254948) a prime number? True Let d be -3 + 0 + 0 + 3. Let g be (16 - (d - -2))/(-2). Let x(j) = -j**3 - 6*j**2 - 2*j - 8. Is x(g) a composite number? True Let q(i) = -2*i - 10. Let d = 9 - 16. Let z be q(d). Suppose -z*c + 7*c - 615 = 0. Is c a composite number? True Suppose 12 = 4*w, 8*w + 1556 = v + 3*w. Is v a composite number? False Suppose -20 = 14*g - 18*g. Let p(h) = -h**3 + 7*h**2 - 11*h + 7. Let w be p(g). Suppose -a - 3*z + 500 = 0, w*z = z + 5. Is a composite? True Let u(q) = -161*q**3 - 3*q**2 - 14*q - 31. Is u(-3) composite? True Let c(h) = 2*h + 5. Let u be c(-9). Let y = -16 - u. Is -3*(64/y - -2) a composite number? True Suppose 0 = -2*w - 5*g + 14, -2 = -2*w - g + 4. Suppose 5*d - 174 = w*d. Is d composite? True Let o be ((-2)/(-4))/((-1)/(-3508)). Suppose -o = 5*v - 7*v. Is v prime? True Suppose -4*s - 5778 = 17*z - 19*z, 5*z - 3*s = 14410. Is z a composite number? False Let t(a) = 6*a + 48 + 10*a + 36*a + 3*a. Is t(11) prime? True Suppose s = 2*x, -s - 2 = 3*x - 2*s. Is (-12)/4 + 2730 - x a prime number? True Let c be (1 + -4)/((-51)/136). Suppose -c*z = -5*z - 180. Suppose -2*u - 31 = -w, -36 = -3*w + 5*u + z. Is w a composite number? False Let m(u) = 21*u**3 - 10*u**2 - 27*u + 213. Is m(12) a prime number? False Suppose -3*c - 27 = -3*p, 0*c - 3*c = -4*p + 34. Suppose -p*n + 12*n - 1115 = 0. Is n prime? True Let r(g) be the second derivative of 17*g**4/4 - 11*g**3/6 + g**2/2 - 23*g. Is r(7) prime? True Let r be 17182/10 - (-7)/(-35). Suppose -4*b = -o + 497, 4*o + 4*b = r + 230. Is o composite? True Let n = 2849 - 1032. Is n composite? True Let n = 339 + -213. Suppose -2*d + 511 = i, 4*i = 4*d + 1165 + 855. Suppose -s - n = -l, 5*l - s = l + i. Is l composite? False Suppose 4*f = 28114 - 1422. Is f composite? False Let s(x) = 4*x**2 - 34*x + 279. Is s(15) a composite number? True Let m = -172222 + 244283. Is m composite? True Is (8 + -1)*1/(3/339) a prime number? False Suppose 5*k - 144 = 25*s - 26*s, 2*k = -4*s + 594. Is s composite? False Let r(f) = 3*f**3 + 10*f**2 + 11*f + 15. Let g(x) = -4*x**3 - 11*x**2 - 12*x - 16. Let v(t) = -4*g(t) - 5*r(t). Is v(11) prime? False Let a = 15032 - 7285. Is a a composite number? True Suppose -2*r - 3353 = -769. Suppose -5517 - 12 = -3*u. Let v = u + r. Is v prime? False Suppose -10*d - 2*d = 24. Is ((-35)/(-25) + d)*-895 prime?
{ "pile_set_name": "DM Mathematics" }
0.2. Let h = -3 + 2.9. Which is the second smallest value? (a) h (b) i (c) j b Let l = 17311/181220 - 3/2132. Let g = 258/935 - l. Which is the second smallest value? (a) 2 (b) g (c) 1/12 b Let q = 4.2 - 5.1. What is the smallest value in q, 1/6, 3? q Let n = -0.2 - 0.2. Suppose 7 + 53 = -4*q. Let c be 20/(-72)*6/q. What is the biggest value in -3, c, n? c Let z = -0.09 + -3.91. Which is the third smallest value? (a) 1/7 (b) z (c) 0.3 c Let r = -0.147 - 0.053. Which is the second smallest value? (a) 4 (b) -1 (c) r (d) 2/21 c Let i = 4.39 - 40.09. Let y = i - -31. Let u = 5 + y. What is the smallest value in 0, 3, u? 0 Suppose -4*d - 43 + 11 = 0. Let s = -7 - d. Which is the biggest value? (a) s (b) -0.2 (c) -2 a Let q = -0.3 - -0.8. Let j = 36 + -34. Which is the second smallest value? (a) -4 (b) q (c) j b Let y = -115 + 115.5. What is the second smallest value in 44, y, 0? y Suppose -3 - 7 = 5*h. Let d be 1 - 1 - h/4. What is the smallest value in 0.01, d, 2? 0.01 Let t = -0.13 + -0.17. Which is the second biggest value? (a) 3/4 (b) t (c) -1.2 b Let s = -67 - -70.1. Let c = s - 2.1. What is the second biggest value in c, -4, -0.05? -0.05 Let i = 24.03 - 24. What is the second smallest value in i, 4, 0.3? 0.3 Let f = -0.1 + -0.1. Let h = -0.008 - 0.392. Which is the second smallest value? (a) f (b) 2 (c) h a Suppose 2*s = 3*s + 5. Let w be (-81)/(-15) - (-2)/s. Which is the third biggest value? (a) -5 (b) -1 (c) w a Let o = 1.2 + -1.2. Let y = -639/7 + 91. Let p = 439/30 - 29/2. Which is the third smallest value? (a) y (b) p (c) o b Suppose -3 + 18 = -5*z. Let k(l) = -l + 8. Let t be k(5). Which is the third smallest value? (a) t (b) -0.2 (c) z a Let v(x) = -4*x - 3. Let g be v(-4). Suppose 0 = -3*y - 1 + g. Suppose 0 = 8*s - 4*s - y. What is the second biggest value in 0.3, 2, s? s Let z(o) = o**3 - 9*o**2 + 8*o + 1. Let s be z(8). Let c = 0.2 - 0.2. What is the smallest value in c, -2/5, s? -2/5 Let o = 4 - 10. Which is the smallest value? (a) 1 (b) o (c) 2 b Let v = 1 - 0.9. Let i = v + -0.3. Let n = 69 - 275/4. What is the second smallest value in n, i, -0.5? i Let n = -0.1 - 0.1. Let p = -34/3 - -11. Suppose 2*d + 6 = -5*s + 31, 0 = -5*s + 3*d. Which is the third biggest value? (a) p (b) s (c) n a Suppose -5*b + 50 = -40. Let r be b/(-24) - 46/(-8). What is the third biggest value in 0, r, 1? 0 Let z(v) = 0*v**2 - 3*v + 5*v - 5*v**2. Let m be z(-2). Let k be (-57)/m + -3 + 1. Which is the third biggest value? (a) -3 (b) 2/3 (c) k a Let r = 543/2 - 269. Let j(t) = 3*t - 2. Let d be j(2). Which is the second biggest value? (a) r (b) d (c) 5 b Let f = -1 + 6. What is the biggest value in 1, f, -2? f Let x = -0.37 + -0.03. Let y = -81/28 - -22/7. Let b = 5.01 + -0.01. What is the third biggest value in y, b, x? x Let l = -118 + 118. Which is the third smallest value? (a) -4 (b) 2/5 (c) l b Let q = 38 - 20. Let n be ((-1)/q)/((-5)/10). Let y(g) = g**2 + 5*g - 3. Let u be y(-6). Which is the second smallest value? (a) -0.1 (b) u (c) n c Suppose -p + 4*r + 24 = 0, 3*p - 5*r - 26 = 11. Let n = -37 + 22. Which is the third biggest value? (a) -1/2 (b) p (c) n c Let b = -21 - -25. What is the biggest value in b, -1/6, 0.3? b Let s be 27/(-12)*(-8)/(-3). Let w = -6 - s. What is the third biggest value in -2/9, w, -0.5? -0.5 Let t = -6.4 - 0.5. Let y = -3 - t. Let o = 4 - y. What is the smallest value in -2/11, o, 3? -2/11 Let n be (-13744)/(-12)*6/52. Let k = -132 + n. Which is the biggest value? (a) k (b) 1 (c) 3 c Let m = 4 - 0. What is the biggest value in -4, m, -0.3? m Let i = 0 + 4. Suppose -o + i*o = 3. What is the biggest value in 0.1, 0.4, o? o Let x = 5.6 - 0.6. Let o = x - 0. Let m = 0.8 + -0.3. What is the third biggest value in m, o, -1? -1 Let p = -11 - -15. Let j be (-45)/(-36)*p/(-10). Let m = 0.4 + -0.3. Which is the smallest value? (a) j (b) m (c) 2 a Suppose 4*g + 2*f = 12, -3*g + 19 = 4*f - 5*f. What is the second biggest value in 0.5, g, -2/11? 0.5 Let l be 4 - ((-230)/(-68) + (-1)/(-2)). Which is the second biggest value? (a) 2 (b) -5 (c) l (d) -1/3 c Let x = 42 - 41.8. Let l = 113/549 + 1/61. What is the third smallest value in -1/6, l, x? l Let p = -1 - 1. Which is the second biggest value? (a) 3 (b) -1/2 (c) p b Let d = 10 - 8. Let j = d + -2.05. What is the smallest value in -0.2, 5, j? -0.2 Let k = 127/2 - 65. Let s be (-2)/(-12)*4 - (-16)/(-6). Which is the biggest value
{ "pile_set_name": "DM Mathematics" }
en 492 is divided by v? 11 Suppose 42*k + 4*b - 11215 = 39*k, -3*k + 11263 = -2*b. Calculate the remainder when k is divided by 31. 29 Let k = 239 - 235. Suppose 0 = -k*t + 12, 0*c + c + 2*t - 80 = 0. Calculate the remainder when c is divided by 20. 14 Suppose -6*g - 120 = -2*x, -87*x - 3*g - 180 = -90*x. Suppose 0*y + 895 = 5*y. What is the remainder when y is divided by x? 59 Suppose -2*j + 2*o + 746 = 0, -1857 = -5*j - o - 2*o. Let c = 394 - j. What is the remainder when 350 is divided by c? 20 Let h be 11/((-66)/(-48)) - 2. What is the remainder when ((-135)/(-10) + 3)*116/h is divided by 23? 20 Suppose 26*j = -190*j + 25*j + 24448. Calculate the remainder when j is divided by 23. 13 Let q be (-2 - (-2)/2)*-13. Let r = 721 + -671. Calculate the remainder when r is divided by 2 + -1*(2 - q). 11 What is the remainder when ((-8)/(-44) - (-1722)/(-154)) + 401 is divided by 97? 2 Let j = 17278 - 16951. Calculate the remainder when 879 is divided by j. 225 Suppose 3*s + 84 = 2*n, 4*s = -4*n + 62 + 146. Let y(g) = 15*g - 95. What is the remainder when n is divided by y(7)? 8 Let z(o) = -4*o + 14. Let j be z(-6). Let a = -48 + j. Calculate the remainder when 4 is divided by (1 + a/(-5))/1. 1 Suppose -259 = 6*p - 667. Let h(v) = -5*v - 14. Let a be h(-3). Calculate the remainder when p is divided by a + 16 - (-6 - -5). 14 Let f(t) = -35*t - 34. Let x(y) = 30*y - 6. Let p be x(-2). Let a = 62 + p. What is the remainder when f(a) is divided by 27? 25 Suppose -2*m - 12 = 2*m, 0 = -t - 5*m + 228. Suppose -667 = -5*h + t. Calculate the remainder when h is divided by 47. 41 Suppose 47630 = -16*q + 43*q + 28*q. What is the remainder when q is divided by 5? 1 Let w be ((-130)/13)/(2/(117 + 1)). Let u = -585 - w. What is the remainder when 7 is divided by u? 2 Let m(p) = -2*p**3 - 6*p**2 - 5. Let c = 439115 - 439106. What is the remainder when m(-5) is divided by c? 5 Suppose -h + 0*h + 54 = 0. Suppose 5*a - 63 = w - 3*w, 0 = -w + 2*a + h. Let u(p) = -p**2 + 719*p - 10537. Calculate the remainder when w is divided by u(15). 21 Let s(i) = -2*i**2 - 54*i + 315. Calculate the remainder when 425 is divided by s(-31). 23 Suppose 3*r - 6 = 9*r. Suppose -d + f = 0, -8 = 3*d - 2*f - 3*f. Calculate the remainder when (-9 + r)*(-2 - (-16)/10) is divided by d. 0 Suppose 0 = -3*w - 5*o + 1675, 0*w + 5*w - 2817 = -2*o. Let n(v) = 4*v**2 + 49*v + 153. What is the remainder when w is divided by n(-10)? 61 Suppose -5*h - c + 5*c + 910 = 0, 0 = -4*h - 5*c + 769. What is the remainder when h is divided by 46? 2 Let c = -35 + 51. Suppose -5*u + 0*s + 175 = 4*s, 4*u - 166 = 2*s. Suppose 5*v - 22 = -4*h + 7, 3*h + u = 3*v. Calculate the remainder when c is divided by v. 7 Let s = 26171 - 25974. Calculate the remainder when 3146 is divided by s. 191 Suppose 2968 + 3482 = 25*m. Calculate the remainder when m is divided by 124. 10 Suppose 7*s = 1946 - 1617. What is the remainder when 1211 is divided by s? 36 Suppose 0 = -5*b + 8*b - 132. Suppose 65*m - 38118 = -15368. Calculate the remainder when m is divided by b. 42 Calculate the remainder when 464 is divided by 3 + ((-252)/60)/((-3)/65). 88 Suppose 22*d - 8088 = -144 + 1120. What is the remainder when d is divided by 99? 16 Suppose 42 = -0*n + n. Suppose 825 = 5*b - 20*a + 19*a, -2*b = -2*a - 330. Calculate the remainder when b is divided by n. 39 Suppose 4*t - 5*c - 181 - 30 = 0, t = c + 53. Suppose t + 234 = -6*w. Let m = w - -60. What is the remainder when 33 is divided by m? 9 Let u = 290 + 388. Let s = u + -501. What is the remainder when s is divided by 62? 53 Suppose b = -5*b + 2880. Suppose -14*u + b = u. What is the remainder when -2*(-1996)/u + 1/4 is divided by 18? 17 Let x(n) = 78*n**2 - n. Suppose 77*k = 72*k + 80. What is the remainder when x(1) is divided by k? 13 Suppose -5*y - 57 = -4*x, -2*x + 0 + 28 = -2*y. Suppose 174 = 4*v - 10*b, 2*v - 96 = 67*b - 71*b. Calculate the remainder when v is divided by x. 7 Let m(p) = -7*p - 10. Let z be m(-12). Suppose 4*h - 34 = -z. Calculate the remainder when 24 is divided by ((-7)/5)/(2/h). 3 Let m = -79 + 108. Let k be (-4)/(-10) + 1252/20. Let g = m + k. What is the remainder when g is divided by 24? 20 Suppose 4*j = 3*p - 27, 3*p - 4 = 5*j + 26. Suppose -3*r - 42 = -x, -2*r = r - p*x + 30. Let w = -7 - r. What is the remainder when w is divided by 3? 2 Suppose 29*o + 23980 = 1969. Let z = o - -769. What is the remainder when 178 is divided by z? 8 Let s be (6/1 - 3)*80/(-24). Calculate the remainder when ((-14988)/s)/3 + 18/45 is divided by 63. 59 What is the remainder when (-160)/(-40) + (106 - 1)/1 is divided by 101? 8 Let g = -353 - -363. Suppose -3*r + 113 = 3*o - 2*r, 4*o = -3*r + 149. What is the remainder when o is divided by g? 8 Calculate the remainder when (2 + 0)/((-12)/(-906)) is divided by (-34)/(-17) - 180/(-9). 19 Let y(l) = l**2 + 40*l + 132. Calculate the remainder when -1 + (-204)/(-4) - -1 is divided by y(-37). 9 Suppose -t = 103*t - 15912. What is the remainder when t is divided by 144? 9 Let m = -106 + 175. What is the remainder when 23 + -9 + -2 - -261 is divided by m? 66 Let w(h) = -h**3 - 4*h**2 - 5*h - 5. Let c be 1/(-1)*(-50)/(-2 + 12). Suppose -4*m + 6*j + 35 = j, 5*j = c. What is the remainder when w(-4) is divided by m? 5 Let z = -23283 - -24539. What is the remainder when z is divided by 82? 26 Suppose
{ "pile_set_name": "DM Mathematics" }
e in 0, 1/2, 4/3, a? 4/3 Let u be (6/(-10))/(-2 + 3). Suppose 0 = -l - 5 + 1. Which is the second smallest value? (a) 0 (b) l (c) u c Suppose -2*o = 1 - 3. Let d(v) = -v**3 - v**2 + v. Let r be d(o). Let f be 6/8*(-20)/(-18). Which is the biggest value? (a) f (b) -1/5 (c) r a Let g = 33 + -233/7. Let p = -18.79 - 0.21. Let h = 15 + p. What is the smallest value in -1/5, h, g? h Suppose 5*i - 4*h + 5 = -0*h, 2*i = -5*h - 35. Let f be 1108/(-2190) - 1/(-3). Let z = f + -2/73. What is the second biggest value in z, i, -1? -1 Let j = -4.037 + -0.003. Let c = 0.04 + j. Let p = 0.6 - 1. What is the second biggest value in c, p, -1? -1 Let x be 4/35*2*15/(-12). Let v(h) = -h**3 - 3*h**2 - h. Let y be v(-2). Which is the smallest value? (a) x (b) y (c) -1 b Let o = -2 + 4. Let v(w) = -10*w. Let r be v(1). Let j be r/24 + (-6)/(-9). Which is the third smallest value? (a) j (b) 0.4 (c) o c Let x = 4 - 3.6. Suppose 7*r - 18*r = 11. Which is the third biggest value? (a) 3/7 (b) r (c) x b Let r be (-5)/(5/2) - -1. Let f be r + -3 + 5 - 1. What is the second smallest value in 3, 4/7, f? 4/7 Let t be (-7)/(-5) - (-2)/(-5). Let x = -26 - -25.89. Let i = x - 1.89. Which is the third biggest value? (a) t (b) -0.5 (c) i c Let p = 110 + -109.6. Which is the third biggest value? (a) 8 (b) 2 (c) 3 (d) p b Let m = 0.8 - 5.8. What is the third biggest value in -4, 0.4, m? m Suppose -4*z + 41 - 49 = 0. What is the biggest value in 14, z, -3, 0? 14 Suppose 23*x - 27*x + 20 = 0. Which is the third biggest value? (a) x (b) -2 (c) -0.29 b Let x be (-24)/28*1/(-3). Suppose 2*m + v = 0, 5*m = m - v + 4. Which is the third biggest value? (a) x (b) m (c) -5 c Suppose -5*q + 3*q - 8 = 0. Which is the second biggest value? (a) 0.5 (b) -0.1 (c) q b Let z = 0.79 + -0.29. Which is the biggest value? (a) -12/11 (b) -2 (c) z c Let p be 2/6*(0 + 0). Which is the second biggest value? (a) 11/2 (b) p (c) 4 c Let y = 0.82 - 0.8. Let j = 0.191 - -1.829. Let s = y - j. Which is the third smallest value? (a) 5 (b) s (c) 3 a Let u = -19.8 + 19. Let q = 0.4 + u. What is the third smallest value in -5, -4, q? q Let g be 2 + 15/(-9) - 22/60. Which is the biggest value? (a) g (b) -1/3 (c) 0 c Let v = 149 - 148.9. Which is the fourth biggest value? (a) v (b) 2/5 (c) -3/8 (d) 3/14 c Let t = -13 + 6. Let k = -11 - t. Let d = 4 + -2. Which is the third biggest value? (a) k (b) -4/7 (c) d a Let p(y) be the third derivative of y**4/8 - y**3/6 + 2*y**2. Let s be p(2). Which is the biggest value? (a) 1 (b) -0.5 (c) s c Let i = -2.95 + -0.05. Let q = -12.2 + 25.5. Let h = q + -13. What is the biggest value in h, i, 0.2? h Let q = 3.032 + -0.032. Let b be 18/(-34)*2/12. Let i = 101/374 + b. What is the second biggest value in q, i, 3/2? 3/2 Let a = -0.33 + -3.67. What is the smallest value in 4, -2/3, a? a Let w = -0.01 + 0.06. Let t = w + 2.95. What is the second biggest value in 3/5, t, 2? 2 Let l be (-1)/(-4) + 81/(-4). Let p be (3/14)/((-15)/l). Let y = 0 - 2. Which is the second biggest value? (a) 3/4 (b) p (c) y b Let i(h) = h**2 + h + 5. Let z be i(-5). Suppose 2*t - 7 = -t + 2*k, -5*t - 4*k - z = 0. Let d = 0.2 - 0.1. What is the biggest value in t, 0.3, d? 0.3 Let j = -3.14 - -0.14. Let o be 6/9 + 8/6. Which is the second smallest value? (a) j (b) o (c) 4 b Suppose 2*w = 3*w - 4. Let n be -1 - -3 - (-20)/(-6). Which is the biggest value? (a) n (b) 1 (c) w c Let j be -8 - -6 - (-39)/21. Let w = -0.2 + -0.2. Which is the biggest value? (a) j (b) w (c) 0.1 c Let k = 7 - 8. Let t = 320/7 - 46. Which is the third smallest value? (a) 0.2 (b) t (c) k a Let r = -0.15 - -0.16. Which is the biggest value? (a) r (b) -2 (c) 3 c Let u = -3 + 2.88. Let l = -0.62 - u. Which is the second biggest value? (a) 0 (b) l (c) -6 b Let s = 15 - 10. Let h = -4261 + 16641/4. Let v = 100 + h. What is the third smallest value in v, 3, s? s Suppose -g + 6 = -4*g. Let n be 105 + (-1 - -2) + g. Let w = n + -518/5. Which is the second biggest value? (a) w (b) -0.4 (c) 5 a Let w = 397/70 - 51/10. Suppose -4*m + 29 - 9 = 0. Let f(x) = x**2 - 5*x - 3. Let k be f(m). Which is the second biggest value? (a) -1 (b) w (c) k a Let r(f) = f**2 + 2*f. Let l be r(0). Let s(v) = -v**3 - v - 5. Let t be s(0). What is the second biggest value in t, l, 1? l Let q = -0.2 + 2.2. What is the second smallest value in -4, 0
{ "pile_set_name": "DM Mathematics" }
c - 2. Let l be (0 + 2 - -1)*5/(-75). Put -0.1, l, b in descending order. b, -0.1, l Let q be (-3 + 6 - -41) + -3. Suppose 4*a - q + 17 = 0. Let y be 2/((-3)/a - 0). Sort y, 3, -5 in descending order. 3, y, -5 Let n(a) = -a**2 - 4*a + 2. Let f be n(-5). Suppose 0 = -3*b + 46 - 25. Suppose r = b*r + 12. Sort f, r, 0 in decreasing order. 0, r, f Let a = -197 - -197.6. Put a, 0.1, 5 in descending order. 5, a, 0.1 Let g = -4 - -6. Suppose -m = -m + g*m. Put -11, m, -3 in increasing order. -11, -3, m Let t be 6 - (-3 - -5) - -1. Suppose -4*v = -7 - t. Suppose 5*s + r = 25, 2*s + 3*r = 2*r + 13. Sort 5, v, s in decreasing order. 5, s, v Suppose 187 - 175 = 6*g. Sort 0, g, 15 in decreasing order. 15, g, 0 Let t be 8/4*(2/(-1))/4. Let k = -1 - t. Put -2, 8, k in decreasing order. 8, k, -2 Let z(o) = -54*o + 5*o**2 + 9 + 0*o**2 + 47*o - 4*o**2. Suppose -5*n + 3 + 17 = 0. Let k be z(n). Put 4/9, k, 4 in descending order. 4, 4/9, k Let t = 807 + -806.9. Sort t, 0, -18, 2/19 in decreasing order. 2/19, t, 0, -18 Let j be (-9)/2 + (-1)/(-2). Let r = 23 - 15. Suppose r*x + 16 + 0 = 0. Put x, 3, j in descending order. 3, x, j Let o(v) = -v**2 + 3*v + 3. Let y be o(0). Let b be (-8)/(-6)*(-6)/(-4). Suppose -b*x = w + 1, 0 = -5*w - x + 34 - 12. Sort w, -1, y in increasing order. -1, y, w Let f = -15454/7 - -2207. Sort f, -7, 4/3, 2 in ascending order. -7, f, 4/3, 2 Let x(p) = p**2 + p - 2. Let g be x(2). Let c = -3 - 0. Let z be (0/((-3)/c))/3. Sort g, z, 3 in ascending order. z, 3, g Let i = -48.21 + 48. Let b = -2.21 - i. Sort -3, b, -1. -3, b, -1 Let q = 0 - 0. Let m be (64/40)/((-4)/(-10)). Suppose 0 = -5*x - 2*x + 35. Put q, x, m in descending order. x, m, q Suppose 15*c = 22*c + 28. Put 80, c, 3, -1 in increasing order. c, -1, 3, 80 Let n = -304 - -457. Sort 0, 2, n. 0, 2, n Suppose 6 = 2*w, 2*w + 66 = 3*f - 0*w. Put f, -4, 1 in descending order. f, 1, -4 Suppose -j + 293 + 34 = -a, 2*j + 2*a = 666. Put j, -1, 4 in ascending order. -1, 4, j Suppose 4*o - 35 = 3*g, -4*g = 5*o - o. Suppose -o*t = 5 - 10. Put t, -2, 5, -1 in ascending order. -2, -1, t, 5 Let d = -157 - -156.97. Sort 2, -0.2, 0.5, d in descending order. 2, 0.5, d, -0.2 Let i(p) = -7 + 0*p + 2*p + p + 0. Let w be i(4). Suppose w*t - 25 = b, 7*t - 15 = -4*b + 4*t. Sort b, 4, 3 in increasing order. b, 3, 4 Let v(g) = g**2 - 2*g - 7. Let p be v(-5). Suppose 0*k - p = -k. Let r = k + -23. Sort r, -3, 0 in descending order. r, 0, -3 Suppose 5*u = 3*u + 34. Let v = u + -15. Sort -1, -2, 4, v. -2, -1, v, 4 Suppose 15*i = 17*i - a - 3, 0 = -3*i - 5*a + 24. Sort 8, -5, i, 7 in descending order. 8, 7, i, -5 Let z = 35 + -21. Let c be (48/28)/(4/z). Let u = -41/21 + 16/7. Sort c, u, 4 in ascending order. u, 4, c Let g = 43/18 - 5/2. Let q = 2.53 - 0.53. Put g, q, 3 in descending order. 3, q, g Let j = 61 + -59.4. Let f = j - 5.6. Sort -1/20, f, 3 in descending order. 3, -1/20, f Suppose -9*i + 10*i = -4. Put -1, -6, i, 0 in descending order. 0, -1, i, -6 Let w(q) = q**2 + 7*q + 2. Let t be w(-6). Let h be (t/6)/(24/36). Sort h, 4, -5 in decreasing order. 4, h, -5 Let s(d) = d. Let k be s(-1). Suppose 0 = 7*q + 2*q - 27. Put -3, q, k in decreasing order. q, k, -3 Suppose -2*q + 3*d = 6, 2*d - 8 = -2*d. Sort 4, 20, q in decreasing order. 20, 4, q Let r = 9.05 - 0.05. Let o = r - 10.5. Let q = -0.5 + o. Sort q, -0.1, -5. -5, q, -0.1 Suppose -3 = -3*s + 9. Sort 2, -40, s, -5 in descending order. s, 2, -5, -40 Let j(d) = -d**3 - 10*d**2 + 7. Let a be j(-8). Let h = 116 + a. Sort 2, 4, h in descending order. 4, 2, h Suppose -111 = 7*x + 1436. Sort -2, -5, x in descending order. -2, -5, x Let y = 0.2 - -0.4. Let r = y - 2.6. Sort r, -4, -8 in ascending order. -8, -4, r Let q be (5*(-5)/(-50))/((-4)/(-48)). Sort -1, 3, -4, q. -4, -1, 3, q Let a be 1/(-1)*(-8 - -7). Let i be (32/(-12))/(-4)*3. Sort a, i, 0 in ascending order. 0, a, i Let o = 31 - 13. Let w = o - 13. Let q be (60/(-9) - -8) + -1. Sort -4, w, q in decreasing order. w, q, -4 Let l = 9.8 - 8.8. Let c = -10 - -10.2. Sort l, 0.3, 2, c in descending order. 2, l, 0.3, c Let t = 6 + -11. Suppose -6*a + 6 = -9*a. Put t, a, 5 in decreasing order. 5, a, t Let q be (-10 + 14 - (-2 + 12)) + 11. Let y = 0.2 - 0.2. Sort q, y, 0.1. y, 0.1, q Let w(x) = -9*x - 211. Let a be w(-23). Put -12, a,
{ "pile_set_name": "DM Mathematics" }
020*f - 3057*f for f. -15 Solve 7*l - 203 + 168 = 0 for l. 5 Solve -60*n - 78 = 282 for n. -6 Solve 85*d - 1308 = 28*d + 288 for d. 28 Solve 51*r - 18 + 438 = 23*r for r. -15 Solve 165 + 0 + 427 = 74*k for k. 8 Solve -278*w - 2711 = -48*w + 969 for w. -16 Solve -52*c + 38 - 56 = 138 for c. -3 Solve 17*a = 3025 - 2821 for a. 12 Solve 10*o - 176859 + 176769 = 0 for o. 9 Solve -52*f + 311 + 569 = -108 for f. 19 Solve -6*z + 214*z = -2496 for z. -12 Solve -517*r + 413*r - 1352 = 0 for r. -13 Solve -137*k = -88*k + 55*k - 2704 for k. 26 Solve 116*t = 1995 + 673 for t. 23 Solve 318*c + 61 + 148 = 299*c for c. -11 Solve -157*a + 23*a + 246 + 1094 = 0 for a. 10 Solve 16 = 29*y - 13 for y. 1 Solve 264*p + 2261 - 4638 = 3959 for p. 24 Solve 88*s + 127*s + 1001 = 292*s for s. 13 Solve 47*v - 6*v = 34*v + 49 for v. 7 Solve 0 = 183*n + 49689 - 49140 for n. -3 Solve -160*c - 203 = 757 for c. -6 Solve 28*k = -160 - 288 for k. -16 Solve 525*q = -267*q - 5872 + 28048 for q. 28 Solve -48*j - 402 + 315 - 729 = 0 for j. -17 Solve -7*x + 1577 = 1563 for x. 2 Solve 0 = 174*j - 216*j + 42 for j. 1 Solve 17*g - 245 = 149*g - 1037 for g. 6 Solve -32803*m = -32783*m - 460 for m. 23 Solve 56*v - 3 = -3 for v. 0 Solve -27*y + 1106*y - 37765 = 0 for y. 35 Solve 709 + 286 = -199*s for s. -5 Solve 12*z = -12*z - 13*z + 370 for z. 10 Solve 0 = -127*a - 4657 + 5927 for a. 10 Solve -10*o - 5*o - 490 = 20*o for o. -14 Solve -15*k - 35 - 41 = -46 for k. -2 Solve -15*o + 188 = -0*o - 52 for o. 16 Solve -840*z = -872*z + 384 for z. 12 Solve -60*u - 129 = -729 for u. 10 Solve 1120*y = -2057 + 1971 + 10166 for y. 9 Solve -20*q = 79 - 19 for q. -3 Solve -423*k + 568*k - 4060 = 0 for k. 28 Solve 30*k = -11847 + 11877 for k. 1 Solve -11*a - 49*a + 143 = -37 for a. 3 Solve 470*o = 216*o + 1270 for o. 5 Solve -63*n = 183 - 624 - 378 for n. 13 Solve 3707 + 210 + 754 = -173*m for m. -27 Solve 9*n + 49*n = -84*n + 27*n for n. 0 Solve -89*t - 2 = -90*t for t. 2 Solve 22*c + 24*c - 1013 + 277 = 0 for c. 16 Solve 447 = -9*b - 5*b + 237 for b. -15 Solve -148*c - 1850 - 487 = -25*c for c. -19 Solve 568 = -16*i + 712 for i. 9 Solve -367*b = -20*b - 1852 - 3700 for b. 16 Solve -701 = -70*s + 1029 - 330 for s. 20 Solve -41*v + 462 = 52 for v. 10 Solve -9*f = 5*f + 114 + 40 for f. -11 Solve -86*h = -99 + 671 + 374 for h. -11 Solve -39 = 89*k + 36 + 192 for k. -3 Solve 27*w = -6*w + 32*w - 16 for w. -16 Solve 12*b = -43*b - 12*b for b. 0 Solve -6339 = -23*d - 6155 for d. 8 Solve -57*d - 667 - 401 = 121*d for d. -6 Solve 290*a = 2903 + 1157 for a. 14 Solve 4 - 15 = -3*v + 43 for v. 18 Solve 25*c - 49*c + 73 = -191 for c. 11 Solve 186 = -1618*b + 8276 for b. 5 Solve 0 = 46*w + 64 - 156 for w. 2 Solve 1808*j = 640*j + 33872 for j. 29 Solve 57*h - 944 = 21*h - 82*h for h. 8 Solve 12*d + 1167 - 1507 = -22*d for d. 10 Solve 166*d - 642 = 1948 + 1394 for d. 24 Solve 54*i - 2593 = -973 for i. 30 Solve -588 = -119*b + 364 for b. 8 Solve 51*a = 8*a + 43 for a. 1 Solve 190281*z - 190270*z = -363 for z. -33 Solve q + 14*q = -33*q + 384 for q. 8 Solve 8*m + 240 = -12*m for m. -12 Solve -27*u = -22*u - 30 for u. 6 Solve -53*s + 223 - 64 = 0 for s. 3 Solve 271 = -31*c + 178 for c. -3 Solve 83*t + 411 = -26*t - 897 for t. -12 Solve 100*n - 916 = -225 + 1409 for n. 21 Solve 3*n + 8 = -7*n + 108 for n. 10 Solve 472*q = -228*q + 73*q + 3135 for q. 5 Solve -60*f - 70*f = -127*f - 54 for f. 18 Solve -763*g + 16974 = -1501*g for g. -23 Solve 0 = 410*s - 4897 - 3713 for s. 21 Solve 2*s + 26 - 4 = 0 for s. -11 Solve -92*v + 133 = -603 for v. 8 Solve 40 = 2201*t - 2193*t for t. 5 Solve 218 = 45*v - 399 - 58 for v. 15 Solve -15*q - 130 = -28*q for q. 10 Solve -85*a - 94*a = -167*a - 120 for a. 10 Solve -9*a + 3946 - 3820 = 0 for a. 14 Solve 1150 = 211*x - 44*x - 2190 for x. 20 Solve -104*z + 55 = -125 - 236 for z. 4 Solve -324*g - 320*g - 24 = -638*g for g. -4 Solve 63 + 7 = -12*c - 74 for c. -12 Solve 0 = 167*u - 149*u + 154 + 26 for u. -10 Solve 7*h + 4 - 2 = -26 for h. -4 Solve -1517*x + 2 = -1476*x + 43 for x. -1 Solve 19600*s + 32 = 19598*s for s. -16 Solve -685*z - 4973 - 16262 = 0 for z. -31 Solve 99*k + 10*k - 1308 = 0 for k. 12 Solve -14332*l + 208 = -14319*l for l. 16 Solve -90*o - 2184 = -114 for o. -23 Solve -50 = 16*i - 25 + 119 for i. -9
{ "pile_set_name": "DM Mathematics" }
) = -n - 27. Give j(14). -41 Let u(k) = -k**3 + 5*k**2 - 3*k - 3. Calculate u(5). -18 Let k(a) = -6*a**2 - 1. Calculate k(1). -7 Let w(y) = -y**3 - y - 10. Determine w(0). -10 Let c(t) = 3*t + 4. What is c(-5)? -11 Let d(f) = -f**3 + 10*f**2 - 10*f - 17. Calculate d(8). 31 Let x(y) = -y**3 - 12*y**2 + 13*y. What is x(-13)? 0 Let w(o) = -o**2 - 8*o + 10. Give w(-8). 10 Let u(b) = b**3 - 5*b**2 + 4*b - 19. Give u(5). 1 Let j(x) = -x**3 + 27*x**2 - 29*x + 6. What is j(26)? -72 Let d(r) = r**2 - 13*r + 35. Calculate d(12). 23 Let b(i) = -11*i + 1. Determine b(3). -32 Let b(v) = -3*v**3 - v**2 + 1. Calculate b(-2). 21 Let i(p) = 2*p - 15. Give i(12). 9 Let f(i) = 6*i**2 + 7*i + 9. Calculate f(-4). 77 Let a(o) = 2*o**3 + 6*o**2 + 5*o + 6. Give a(-4). -46 Let p(d) = -2*d**2 - d + 1. What is p(2)? -9 Let a(v) = -v**3 - 4*v**2 - 3*v - 4. Calculate a(-4). 8 Let i(v) = -3*v + 9. Calculate i(4). -3 Let a(d) = 10*d**2 - d + 18. Calculate a(0). 18 Let k(i) = -i**2 - 2*i + 3. Give k(-2). 3 Let r(q) = -q - 9. Give r(-7). -2 Let r(n) = 3*n**2 + 3*n + 6. Determine r(-3). 24 Let g(h) = 13*h - 5. Calculate g(4). 47 Let i(k) = 2*k**2 + k - 1. Determine i(1). 2 Let a(b) = -b**3 + 36*b - 60. Determine a(5). -5 Let f(r) = r**3 - 6*r**2 - 39*r + 4. Give f(10). 14 Let t(i) = -i - 15. Calculate t(-16). 1 Let k(y) = -8*y**3 + 2. What is k(2)? -62 Let u(w) = w + 26. Calculate u(-18). 8 Let z(w) = w**2 - 11*w - 2. Calculate z(12). 10 Let j(x) = 4*x - 31. Calculate j(11). 13 Let n(r) = r**2 + 49*r - 385. Give n(7). 7 Let v(h) = h**3 - 5*h**2 - 8*h + 13. Determine v(6). 1 Let r(j) = 15*j - 131. Give r(8). -11 Let h(u) = 49*u + 202. Give h(-4). 6 Let h(l) = l**2 + 8*l - 25. Determine h(-11). 8 Let y(p) = -p + 13. Determine y(4). 9 Let g(x) = x**3 + 16*x**2 + 7*x + 36. What is g(-16)? -76 Let y(j) = -12*j + 2. Determine y(1). -10 Let j(r) = -r**3 - 26*r**2 - 50*r - 45. Give j(-24). 3 Let t(j) = 8*j**2. What is t(-1)? 8 Let u(l) = -l**2 + 8*l - 6. Give u(9). -15 Let n(c) = -20*c + 440. Determine n(22). 0 Let u(w) = w**3 - 22*w**2 - 23*w - 14. What is u(23)? -14 Let y(r) = -2*r**3 - 4*r**2 - r. What is y(-3)? 21 Let d(r) = r**2 + 15*r - 36. Calculate d(-17). -2 Let n(x) = x**3 - 8*x**2 - x + 7. Calculate n(8). -1 Let m(x) = 48*x - 2. Give m(1). 46 Let j(w) = -58*w. Give j(1). -58 Let h(y) = 2*y**3 + 4*y**2 + 4*y + 3. What is h(-3)? -27 Let j(o) = -40*o + 289. Calculate j(7). 9 Let r(d) = -3*d + 17. What is r(10)? -13 Let m(n) = -n - 3. What is m(5)? -8 Let c(v) = 2*v**2 + 22*v + 51. Calculate c(-7). -5 Let a(q) = 3*q + 10. Calculate a(-14). -32 Let c(i) = -i**3 - 4*i**2 - i + 29. Give c(0). 29 Let a(m) = m + 25. Calculate a(-36). -11 Let v(x) = -x**2 - 36*x + 205. What is v(-41)? 0 Let p(i) = -13*i + 93. Determine p(7). 2 Let a(d) = -14*d + 297. What is a(21)? 3 Let i(r) = -2*r**2 - 3*r + 12. Give i(-7). -65 Let m(t) = -t**3 + 10*t**2 - 27*t + 37. Determine m(7). -5 Let p(t) = -t**3 + 18*t**2 - 6. Determine p(18). -6 Let m(w) = -8*w - 94. Determine m(0). -94 Let i(x) = 12*x + 28. Determine i(-7). -56 Let j(v) = v**3 + 3*v**2 - 4*v - 7. Calculate j(-4). -7 Let h(k) = 11*k + 82. Give h(-8). -6 Let z(l) = l**3 + 7*l**2 - 8*l + 5. Determine z(-8). 5 Let y(h) = 14*h**2 + h. Calculate y(-1). 13 Let i(l) = -2*l + 51. Determine i(25). 1 Let p(d) = -4*d - 10. What is p(-4)? 6 Let v(n) = 10*n - 278. Determine v(28). 2 Let j(w) = w**3 + w**2 - 3*w + 7. What is j(0)? 7 Let a(u) = 5*u + 105. Determine a(-20). 5 Let d(p) = p**2 - p. Determine d(-2). 6 Let c(n) = -n**2 + 7*n + 68. What is c(13)? -10 Let y(m) = 37*m - 76. What is y(2)? -2 Let y(z) = z**3 + 11*z**2 - 9*z + 28. Calculate y(-12). -8 Let o(t) = -t**3 + 11*t**2 - 28*t - 2. Give o(4). -2 Let v(q) = q**3 - 3*q**2 - 29*q + 6. Give v(7). -1 Let n(s) = s**3 - 13*s**2 - 12*s + 4. Determine n(14).
{ "pile_set_name": "DM Mathematics" }
297, -p = -3*a + u. What is the tens digit of a? 6 Suppose -2*q + 61 = 57, 0 = 5*w - 3*q - 69. What is the units digit of w? 5 Let m(i) = -i + 5. Let d be m(-5). Let f be (-4)/(-6)*45/d. Suppose -762 = -f*z - 3*z. What is the tens digit of z? 2 Suppose v - 17 = 3*x, 24 = 4*v - x - 0. Suppose 3*f - 1757 = -3*o - 2*o, -5*f = v*o - 2925. What is the hundreds digit of f? 5 Let g be (304/6)/4 + (-14)/21. Let q be 7/((-28)/g + 2). What is the tens digit of (-826)/q + (-8)/6? 3 Let h be 3/9*14/6*9. Suppose h*z - 896 = -70. What is the hundreds digit of z? 1 Let k be (-16)/(-8)*514/4. Let r = k + -132. What is the hundreds digit of r? 1 Suppose 3*f + 24 = 4*k, 5*k + 3*f - 8*f = 35. Suppose -25*s + 29*s = -k*b + 991, -2*b = 5*s - 670. What is the hundreds digit of b? 3 Let o(x) = x**2 + 21*x - 41. Let d be o(-23). Suppose -d*z = 5*a - 10, 10 = -0*a - 2*a. Suppose 2*h = z*h - 5. What is the units digit of h? 1 Let l = 1700 - 1346. What is the hundreds digit of l? 3 Let b(a) = 5*a**2 - 40*a - 247. What is the hundreds digit of b(-16)? 6 Let h(u) = 14*u + 14*u**2 + 19 - u**3 - 20 + 23. Let a be h(15). Suppose -a*q + 1052 = -152. What is the tens digit of q? 7 Let u be (-46)/(-4) + (3 - (-77)/(-22)). Suppose -u*y = -27*y + 9136. What is the tens digit of y? 7 Let v be 4/(-6) + 296/3. Let b = 764 + -779. Let f = v + b. What is the units digit of f? 3 Let s(z) = z**3 - 2*z**2 - 3*z + 2. Let c = 83 + -83. Let m be s(c). Suppose -3*h = 5*w - 247, 418 = -h + 6*h + m*w. What is the tens digit of h? 8 Let b = 4779 + 6249. What is the ten thousands digit of b? 1 Suppose 5 = 4*a - 7. Let i be 980/(-147)*(-9)/15. Suppose -2*d + a - 91 = -s, -5*s = i*d - 384. What is the tens digit of s? 8 Let j(q) = 10 + 11 + 1909*q + 1530*q**2 - 1928*q. What is the tens digit of j(1)? 3 Let y(t) = -t**3 - 17*t**2 - 69*t + 11. What is the thousands digit of y(-24)? 5 Let j be 3/2 + 45/30. Let v be -12*-1*(j - 4)/(-1). What is the units digit of 2818/16 - v/96? 6 What is the thousands digit of 6/4*(-3082992)/(-792)? 5 Let o(x) = 29*x + 20*x + 211 - 11*x + 15*x - 58. What is the hundreds digit of o(16)? 0 Let l = -75 - -75. Suppose -2*z = -y + 13, l = -2*z - 8 - 2. Suppose -4*o + s + 356 = o, 4*o - y*s = 276. What is the tens digit of o? 7 Let u = 4352 + 6850. What is the tens digit of (2/3)/(u/(-2241) + 5)? 9 Suppose 2*u = -42 + 2948. What is the tens digit of u? 5 Suppose 175*z - 180*z = 0. Suppose z = 9*k - 2791 - 4436. What is the tens digit of k? 0 Suppose 2*p - 3*h + h = 28652, 2*p + h - 28640 = 0. What is the tens digit of p? 2 Let d(b) = 20*b**2 + 8*b - 23. Let j be d(10). Let p = -474 + j. What is the thousands digit of p? 1 Let g = -2447 - -11442. What is the thousands digit of g? 8 Suppose -3*l = 4*i - 7, -i = l - 2 - 0. Let f(g) = 211*g**2 + 2*g. Let w be f(i). Suppose w = 5*h - 237. What is the tens digit of h? 9 What is the hundreds digit of (-21)/3 - (-495232)/16? 9 Let t be (-3)/2 - 35/14. Let h(g) = -96*g + 58. What is the tens digit of h(t)? 4 Let a be 805*37 - (-4 + 6 + 0). What is the tens digit of a/65 - (-1)/(-5)? 5 Let v = 337 + 515. What is the units digit of v? 2 Let a be (-1)/(4 + 514/(-128)) + -4. What is the units digit of (a/90 + 914/(-12))*-2? 1 Let l = -668 + 296. Let u = l - -948. What is the units digit of u? 6 Let v(g) = 35*g - 134. Let n be v(-8). What is the tens digit of n/9*(-30)/4? 4 Let g(r) = 2360*r**2 + 4*r - 6. What is the hundreds digit of g(2)? 4 Suppose -2*t + 528075 = 6*t + 37*t. What is the thousands digit of t? 1 Let s = 32 - 8. Suppose 0 = 4*d + d - 2*a - 55, -3*d + s = -3*a. What is the units digit of d? 3 Let t(w) = -8*w - w**3 + 14 - 12*w**2 + 0*w - 4*w**2. Let o(c) = 78*c + 1076. Let s be o(-14). What is the hundreds digit of t(s)? 1 Suppose 3 = -3*b, -5*n + 3692 = 2*b + b. Suppose c - 2*c = v - n, -4*c - 764 = -v. What is the hundreds digit of v? 7 Suppose 2*s - 2 = 0, -32*s = 3*a - 28*s - 10072. What is the tens digit of a? 5 Suppose -x = 5*a - 5 - 15, -a + 5 = 0. Let n be (0 + x/(-10))/(2/576). Suppose 0 = 4*u - 160 - n. What is the tens digit of u? 7 Suppose -4*a + 2 = -u, 2*a = 4*u + 15 + 7. Let f = u + -27. Let x = -29 - f. What is the units digit of x? 4 Let a = -346 + -38. Let g = a + 213. Let d = g - -293. What is the units digit of d? 2 Suppose -3*u - 322 + 292 = 0. Let y(z) = 3*z + 6. Let i be y(8). What is the units digit of ((-54)/u)/(9/i)? 8 Let w = 0 + -45. Let u be (0 + 5)/(3/w). What is the units digit of -1 - 0 - ((9 - 4) + u)? 9 Let p = 132 + -138. Let m(z) = -z**3 - 7*z**2 - 5*z + 3. Let o be m(p). What is the tens digit of o*(-94)/3 + 3? 9 Let c(k) = -k + 13. Let o be c(13). Suppose h + 4 + 2 = o. Let w(u) = -21*u - 17. What is the
{ "pile_set_name": "DM Mathematics" }
hat is s(n(a))? -36*a**2 Let j(c) = 6 - 4 - 4*c - 2. Let u(n) = -3*n. What is j(u(a))? 12*a Let x(g) = 3*g**2. Let y(r) = 5*r + 3. What is y(x(z))? 15*z**2 + 3 Let t(v) = -164*v. Let n(d) = 7*d**2. Determine n(t(u)). 188272*u**2 Let l(n) = -n**2 + 48*n. Let c(q) = 11*q**2 + 2. Determine l(c(v)). -121*v**4 + 484*v**2 + 92 Let f(h) = -2*h + 0*h + 0*h + 3*h. Let r(d) = -20*d. Calculate f(r(t)). -20*t Let o(d) = -3*d**2. Let h(i) = -5*i + 35. Let s(v) = -1. Let n(z) = 3*h(z) + 105*s(z). What is o(n(u))? -675*u**2 Let s(i) be the first derivative of i**2/2 - 4*i + 6. Let v(w) = w - 5 - 4*w + 4*w. Let n(d) = 5*s(d) - 4*v(d). Let g(m) = -4*m. Give g(n(q)). -4*q Let q(l) = -6*l - 5*l + 10*l. Let x(t) = t**2. Calculate q(x(b)). -b**2 Let g(t) = -3*t. Let w(c) = c. Let r(z) = g(z) + 5*w(z). Let q(v) = 17*v. What is q(r(d))? 34*d Suppose -3*o = -y - 7, y + 3*o = -3*y + 17. Let v(f) = y*f + f - 3*f - f**2. Let d(l) = -3*l**2. Determine v(d(s)). -9*s**4 Let b(k) be the third derivative of k**4/3 + 2*k**2. Let i(a) = -a. What is b(i(x))? -8*x Let b(n) = 18*n**2. Let d(t) be the second derivative of t**3/3 + 14*t. What is d(b(w))? 36*w**2 Let m(y) = -y. Let n(b) = 140*b**2 - 2*b. Calculate n(m(i)). 140*i**2 + 2*i Let w(l) = 2*l - 108. Let f(c) = -2*c. Determine f(w(r)). -4*r + 216 Let t(v) = 2*v**2 + 8*v. Let d(f) be the second derivative of -f**4/6 - 7*f. Calculate d(t(j)). -8*j**4 - 64*j**3 - 128*j**2 Let k(z) = 5*z**2 - 1 + 1. Suppose 4*v + 0 - 5 = -s, 5*v = -3*s + 1. Let i(j) = -3*j + 4*j - j + v*j. Calculate i(k(c)). 10*c**2 Let m(i) = -26*i**2. Let r(t) = 41*t**2. Determine r(m(z)). 27716*z**4 Let h(o) = -o**2. Let k(m) = -15*m**2 + 6. Let s(t) = 16*t**2 - 5. Let x(q) = 5*k(q) + 6*s(q). Determine h(x(u)). -441*u**4 Let f(p) be the third derivative of -11*p**4/24 + 13*p**2. Let j(s) = -3*s**2. Calculate f(j(y)). 33*y**2 Let b(t) = -t - 1. Suppose -2*r + 4 = -r. Let z(v) = -2*v - 4. Let y(s) = r*b(s) - z(s). Let l(x) = 6*x. Determine y(l(m)). -12*m Let k(j) = -195*j. Let f(o) = 2*o. Calculate f(k(q)). -390*q Let q(g) = -3*g**2. Let d(y) = -7*y + 5. Let l(n) = -3*n + 2. Let z be -1*(-5 + 1 + 0). Suppose -3*m - 2 = z. Let r(x) = m*d(x) + 5*l(x). Calculate q(r(k)). -3*k**2 Let w(t) be the second derivative of -t**6/120 + t**3/3 + t. Let z(x) be the second derivative of w(x). Let q(s) = 0*s + s - 2*s. Determine z(q(d)). -3*d**2 Suppose 0 = 3*n - 6 - 0. Suppose 0 = -n*i + 4*i. Let l(b) = 3*b**2 + i*b + 0*b. Let w(j) = -j**2. Give l(w(c)). 3*c**4 Suppose a - c = 0, -2*a = -6*a - 4*c + 16. Let r(l) = -a*l**2 + 4*l**2 + 0*l**2. Let x(h) = -1 + 3*h + 4 - 3. Determine r(x(k)). 18*k**2 Let n(g) = 4*g**2. Let t(y) be the first derivative of -10*y**3/3 - 35. Determine n(t(x)). 400*x**4 Let y(f) be the third derivative of 119*f**5/60 + 41*f**2. Let s(p) = -2*p**2. Calculate s(y(r)). -28322*r**4 Let k(o) = -o. Let t(r) = 11*r**2 + 6. Let u(z) = -97 - 80 - 134*z**2 - 207*z**2 - 10. Let j(y) = 187*t(y) + 6*u(y). What is j(k(q))? 11*q**2 Let f(k) = 121*k**2. Let q(a) = -3*a. What is q(f(c))? -363*c**2 Let r(z) = 23*z + 2. Let y(f) = 2*f - 20. Calculate y(r(q)). 46*q - 16 Let r(u) = -153*u + 8. Let g(y) = -y**2. Calculate r(g(o)). 153*o**2 + 8 Let a(t) = t + 34. Let k(r) = r**2. Determine a(k(u)). u**2 + 34 Let k(u) be the first derivative of u**2/2 + 25. Let d(p) = -4*p. Give d(k(m)). -4*m Let r(f) = -3*f - f + 5*f. Let h(j) be the second derivative of -j**3/2 + 16*j. Give h(r(v)). -3*v Let y(k) = -2*k**2. Let i = -21 - -11. Let u = i + 15. Let n(a) = 1 - 2*a**2 - 1 + u*a**2. Give y(n(v)). -18*v**4 Let g(d) be the first derivative of d**5/120 - d**3/3 - 1. Let j(x) be the third derivative of g(x). Let n(q) = 2*q**2. Determine j(n(y)). 2*y**2 Let p(t) = 2*t**2. Let r(h) = 9*h**2 - 2*h**2 - 10*h**
{ "pile_set_name": "DM Mathematics" }
w for q. 0 Let n be 12/(-84) - 2/(-14). Let l be n/(-1) + (-7 - -7). Solve l = -0*k - k + 5 for k. 5 Let i = 56 + -53. Let m(v) = -3*v + 11. Let r be m(i). Suppose 0 = 4*j + 3 - 15. Solve 0 = t + r*t + j for t. -1 Let s(f) = 6*f + 43. Let h be s(-5). Let w = -9 - -17. Suppose 0 = -n - 1, -2*m - n = -w + 1. Solve 7 = -m*o - h for o. -5 Suppose 2*b - 5*z = -16, 2*b + z + 3*z + 16 = 0. Let s be (-14)/(-6) + b/(-12). Let g be (-6 + s)/6*-4. Solve -3*l = -l + g for l. -1 Suppose 0 = 44*z - 40*z - 8. Let m be 2 + z + 5 + -4. Solve -12 = -m*a + 2*a for a. 4 Let z = -11 + 16. Let l = -107 - -112. Solve -10 = -l*y + z for y. 3 Let t = -27 + 21. Let p be (-6)/(-4) + (-3)/t. Solve 2*j + 0 = p for j. 1 Suppose 0 = -23*a + 4*a. Solve -c + 5 + a = 0 for c. 5 Suppose n + 75 + 51 = 3*t, 0 = 5*n. Let y = 24 + -49. Let h = y + t. Solve 4*v = -h - 3 for v. -5 Let w(r) = 2*r - 2. Let n be w(1). Let c = -12 + 20. Let u = -1 + 1. Solve n = 4*j - c - u for j. 2 Suppose 13 + 11 = 6*c. Solve 0*b = b + c for b. -4 Let c be 2 + -3 - (-1 + 0/2). Suppose c = d - 5 + 2. Solve -3*s + d = -9 for s. 4 Let u be 1 + (-12)/(-1) + -3. Suppose 0 = 5*x - 4*s - 17, -3*x - x + u = -5*s. Suppose -x*y + 10 = 2*a, 0*y + 5*a = 3*y - 6. Solve 4 = b - y*b for b. -4 Suppose -5*n - 2*s + 43 = -32, -n + 2*s + 3 = 0. Solve n*z + 8 = 15*z for z. 4 Let o be (5/(-3) + -1)*(-3)/2. Let k be (-8)/(-6)*9/o. Solve -k*s + 1 + 5 = 0 for s. 2 Suppose 2*t = -u, 3*t + 48 + 7 = 4*u. Solve 5*s = u*s - 5 for s. 1 Let x be -2*(-1)/(-2)*-5. Let y = x + 3. Let w = -84 + 85. Solve w = -3*d - y for d. -3 Let k(u) = -u**2 + 5*u - 3. Let w be k(3). Suppose -14 = w*b - 5*y, 3*y = -b - 0*y + 14. Solve b = 4*n - 6 for n. 2 Suppose 250 = 5*k - 2*w, -3*k + 145 = 2*w + 11. Let m be 4/6 + 160/k. Suppose 12 = m*u - 0. Solve u - 6 = 3*r for r. -1 Let j(o) = o**2 - 2*o - 2. Suppose -2*w - 1 = -x - w, -4*x + 5*w = -1. Let a be j(x). Let d be (-5 - -5)/(2 - a). Solve d = -i - 0*i - 2 for i. -2 Let o(h) = -h + 1. Let a(t) = t - 8. Let b(k) = a(k) + 2*o(k). Let y be b(-8). Solve 5*i - 3 - y = 0 for i. 1 Let d(g) = -4*g + 7. Let q(v) = -7*v + 14. Let w(r) = r**2 - 11*r + 15. Let a be w(10). Let i(h) = a*d(h) - 3*q(h). Let m be i(10). Solve -m*k = -14 - 1 for k. 5 Let c(s) = -s**2 + 3*s - 5. Let a be c(4). Let h be (-4)/(4 + 39/a). Solve -2*x - x = h for x. -4 Let b = 35 - 34. Let w be ((-2)/2)/(-3)*3. Solve b + w = 2*j for j. 1 Suppose -5*a = 4*d - 19, 3*d + 9 = 5*a - 3. Solve 12*h = 13*h - a for h. 3 Let i = 12 - 5. Let a = 56 - 45. Suppose j + i = a. Solve 0*l = -j*l - 4 for l. -1 Let i(o) = -24*o**3 + 11 - 2*o**2 - 9*o + 25*o**3 - 5*o**2. Let l be i(8). Solve b = 1 - l for b. -2 Let z = -208 + 215. Solve z*d - 5*d = -4 for d. -2 Let r(x) be the first derivative of x**2/2 + 12*x - 3. Let y be r(-8). Suppose -4*p = -3*k + 14, -3*p + 1 - 7 = 0. Solve 0 = -3*n + k + y for n. 2 Suppose -4*b + 23*b - 76 = 0. Suppose 3*l - 14 + 5 = 0. Suppose 6*y - 40 = -l*p + b*y, -4*y - 4 = -p. Solve -v - p = -4*v for v. 4 Let r be (-1 - -22) + 1/((-1)/3). Suppose 5*n = -3 + r. Solve n*a = -7 - 5 for a. -4 Let k(t) be the first derivative of -t**4/4 + 10*t**3/3 - 3*t**2 - 21*t - 13. Let m be k(9). Let x(p) = -4*p - 8. Let n be x(-6). Solve m = 2*z + n for z. -5 Let b = 148 - 141. Solve -8*p = -b*p for p. 0 Let m be (-19)/((-741)/(-12))*-13. Solve -14*v - m - 38 = 0 for v. -3 Let g = 17 + -15. Let k(d) = 29*d + 59. Let a be k(-2). Solve g*v + 9 = a for v. -4 Suppose 2 + 10 = 3*r. Suppose -m - 4*m = 3*h - 10, m = r*h + 2. Let f be h - 1 - -4 - -3. Solve 6 = -4*p + f*p for p. 3 Suppose -i - 16 = 4*n, -n + 5*i - i - 4 = 0. Let f be 5 + (-3 - n) - 2. Solve a = -f*a - 5 for a. -1 Let c(m) = -m**2 + 4*m - 4. Let g be 3 - ((-5)/(-1) + -4). Let l be c(g). Solve l = 2*h + 3*h - 15 for h. 3 Let c(d) = -d + 19. Let w be c(17). Let k(r) = r**2 - 2*r - 5. Suppose 3*l - 4*v + 5 = 13, 0 = 2*v - 2. Let f be k(l). Solve f*q = w + 13 for q. 5 Let g be 2/(-6) + (-28)/(-3). Let v(t) = -1 - 32*t**2 - 7*t + 30*t**2 + 1. Let q be v(-3). Solve 2*i + g = q for i. -3
{ "pile_set_name": "DM Mathematics" }
8. Determine g(77). -5 Let z(d) = -6*d**3 + 31*d**2 + 57*d - 325. Determine z(5). -15 Let y(z) = z**3 + 27*z**2 - 810*z - 60. Calculate y(-45). -60 Let p(q) = 2*q**3 - 57*q**2 - 3423*q + 98425. Give p(29). -1 Let y(t) = 21*t**2 + 9408*t - 28229. What is y(3)? 184 Let y(h) = h**3 - 9*h**2 - 685*h + 4825. What is y(7)? -68 Let q(v) = 2493*v - 12800. Calculate q(4). -2828 Let d(q) = 50*q**2 - 629*q + 27. Determine d(13). 300 Let p(i) = i**3 - 1935*i**2 + 66497*i + 88. Determine p(35). -17 Let p(n) = 2*n**2 - 566*n + 2233. Determine p(280). 553 Let o(s) = -2*s**2 + 49*s + 183. Give o(-7). -258 Let i(z) = -z**3 - 25*z**2 + 224*z - 1377. Determine i(-33). -57 Let m(w) = -w**3 + 7*w**2 + 47*w - 1. What is m(4)? 235 Let a(w) = 7*w**2 - 1168*w - 3551. Calculate a(-3). 16 Let y(d) = -d**3 + 245*d**2 + 3166*d - 1099407. Calculate y(239). -7 Let t(f) = 3*f**2 - 2209*f - 93155. What is t(-40)? 5 Let v(l) = -46*l + 6137. Give v(129). 203 Let d(n) = n**3 + 518*n**2 + 12330*n + 147. Calculate d(-25). 22 Let i(o) = -2*o**2 - 33*o + 20958. Determine i(-111). -21 Let t(y) = -90*y - 1761. Give t(-21). 129 Let c(k) = 5*k**3 - 630*k**2 + 155*k - 19563. What is c(126)? -33 Let t(z) = 67775*z + 1220012. Give t(-18). 62 Let i(d) = -7*d**2 + 140*d - 718. Calculate i(21). -865 Let n(b) = 137*b - 610. What is n(-3)? -1021 Let g(j) = 44*j**2 + 86071*j - 518007. Calculate g(6). 3 Let q(d) = 2*d**3 + 659*d**2 - 1877*d + 151188. Calculate q(-333). 6 Let i(l) = l**2 - 44*l - 349. Determine i(-17). 688 Let m(h) = 20*h**3 + 1963*h**2 + 293*h + 20. Calculate m(-98). 118 Let n(s) = -s**3 + 30*s**2 + 91*s + 1718. Give n(33). 1454 Let t(p) = 4*p**3 + 2*p**2 + 4425*p - 4427. What is t(1)? 4 Let b(c) = 17*c**2 - 7262*c + 14454. Calculate b(2). -2 Let p(n) = 3*n**3 - 918*n**2 + 44830*n + 1224. Determine p(245). -1 Let d(w) = -9*w**2 - 86*w + 4633. Give d(-28). -15 Let b(q) = -77392*q - 60520542. What is b(-782)? 2 Let y(k) = -285*k + 10779. Give y(37). 234 Let a(q) = 6986*q + 187398. What is a(-27)? -1224 Let h(j) = 2*j**2 + 52426*j + 209677. What is h(-4)? 5 Let h(j) = 121658*j + 208. Determine h(0). 208 Let u(n) = -7*n**2 + 2623*n - 10375. Calculate u(4). 5 Let f(x) = 20085*x + 120521. What is f(-6)? 11 Let v(o) = 49*o - 1491. What is v(34)? 175 Let x(s) = 26509*s + 397634. Determine x(-15). -1 Let k(j) = -3*j**2 + 82*j - 353. What is k(6)? 31 Let a(j) = 18*j**3 - 13*j**2 + 128*j + 248. Give a(-2). -204 Let d(z) = 9*z**3 + 40*z**2 - 7*z - 50. Give d(-5). -140 Let s(o) = 19*o**2 - 4891*o - 1982. Calculate s(258). 856 Let c(f) = -f**2 - 323*f + 11085. What is c(31)? 111 Let y(b) = 31*b**2 - 256*b + 1228. What is y(5)? 723 Let i(q) = -q**2 + 262*q + 2034. Give i(-18). -3006 Let z(g) = -g**3 + 8*g**2 + 13018*g - 91142. What is z(7)? 33 Let c(w) = w**3 + 14*w**2 - 62*w - 57. Give c(-8). 823 Let z(s) = -6*s**2 + 382*s - 3105. What is z(54)? 27 Let f(h) = 2*h**2 + 596093*h + 30395544. Calculate f(-51). 3 Let w(f) = -12652*f + 467574. What is w(37)? -550 Let h(r) = r**3 - 176*r**2 + 19913*r - 3306701. Calculate h(172). -1 Let q(b) = -2*b**2 - 190*b - 2767. Calculate q(-18). 5 Let c(s) = 431*s - 41376. Calculate c(96). 0 Let a(l) = -l**3 - 21*l**2 + 789*l - 168. Determine a(19). 383 Let k(y) = -852*y - 297512. Give k(-350). 688 Let d(o) = -16*o**2 + 578*o - 2326. Calculate d(4). -270 Let s(j) = -5*j**2 + 1604*j + 72554. Give s(361). -7 Let l(m) = 209*m**2 - 27794*m - 535. Determine l(133). -136 Let a(z) = 16*z**2 - 226*z - 636. Give a(-3). 186 Let w(y) = 87*y**2 - 1160*y - 93. What is w(13)? -470 Let k(o) = 114*o**3 + 230*o**2 - 26*o - 8. What is k(-2)? 52 Let d(v) = v**2 - 2024*v - 420665. What is d(-190)? -5 Let v(x) = x**2 + 225*x + 12575. Give v(-110). -75 Let g(x) = 137407*x + 10580337. Calculate g(-77). -2 Let x(k) = -k**3 + 33*k**2 + 1142*k + 23. Give x(-21). -145 Let g(h) = -21479*h + 150363. Determine g(7). 10 Let t(v) = -4*v**3 + 435*v**2 + 611*v - 6701. Give t(110). 9 Let t(i) = -i**3 + 47*i**2
{ "pile_set_name": "DM Mathematics" }
is -6 plus -535420? -535426 What is 76.5 less than 0.5? -76 Work out 0.272 - 4. -3.728 What is 0.063 - 30? -29.937 Put together 0.5 and 25144. 25144.5 What is 0.12 less than -13551? -13551.12 What is 202 + -22? 180 What is -0.1 - -90? 89.9 Add 2.6419 and -0.03. 2.6119 What is -12 minus -1.1? -10.9 What is -0.3 minus 160890? -160890.3 What is 0.97 less than 0.11? -0.86 Total of -1.4 and -251. -252.4 Add 3 and 7995. 7998 3 - 1719 -1716 0.3 - 54.34 -54.04 2+-37.892 -35.892 What is 4 minus 0.2543? 3.7457 15995 + -1 15994 Calculate -220948 + -2. -220950 What is the difference between -20 and -4.3? 15.7 Total of 91 and 30. 121 What is -271 plus 78? -193 Total of 0.0384 and 0.1. 0.1384 What is 122689 take away 30? 122659 What is 0 + -146? -146 0.4 + 0.699 1.099 Sum 4 and -35.0363. -31.0363 Add together 0.14102 and 0.3. 0.44102 What is 0.17 minus -3.56? 3.73 Sum 154 and 846. 1000 Total of 5 and -2.9277. 2.0723 What is 92 minus -69.1? 161.1 Calculate 0.03079 - -99. 99.03079 Calculate -0.099274 + 0.03. -0.069274 -7 - 18896 -18903 What is -25.82 - 0.6? -26.42 What is -250354 minus 0.2? -250354.2 What is -114 take away 0.123? -114.123 What is the distance between -37 and 750? 787 Work out -35535 - 0.039. -35535.039 Subtract -0.06384 from 0. 0.06384 Subtract -161 from 0.1. 161.1 What is -0.139971 minus -2? 1.860029 Put together -0.1 and 2233702. 2233701.9 Add together 50 and -1.3. 48.7 What is 10 minus 5323.5? -5313.5 Total of -0.069 and -30.5. -30.569 Put together 1873 and -537. 1336 Work out -552 - 1812. -2364 Calculate 47 - 2249. -2202 Work out 41 + -277. -236 What is the difference between -8.2 and -0.13? 8.07 What is 56 minus 4155? -4099 Subtract 341.165 from 0.4. -340.765 Put together -32 and -57.12. -89.12 -11 - -27.4 16.4 What is the difference between 1 and 9925228? 9925227 Put together 0.00036 and 0.32. 0.32036 Work out 1.2 + 826. 827.2 What is -1 plus -15? -16 What is 44477 less than 2? -44475 Total of 18254.1 and 0.4. 18254.5 Add -1780 and 0.031. -1779.969 What is the distance between -2325 and -0.03? 2324.97 Work out -0.4 - -502. 501.6 What is the difference between 1 and -57708? 57709 Calculate -26 + 4239. 4213 Work out -1790 - -64. -1726 Total of 0.004 and 2. 2.004 2555.7 - -0.4 2556.1 Total of 9.14 and 20. 29.14 What is -5 - -50892? 50887 0.4+0.06331 0.46331 Put together 0.13381 and -1. -0.86619 14.26 - 1.1 13.16 What is -128 take away -0.14? -127.86 119 + -4139 -4020 What is -0.1 minus -330088? 330087.9 Work out 5 + -0.433. 4.567 Sum -83.14 and -2.49. -85.63 What is 63.4 minus 0.68? 62.72 Add 0.19 and -3967.6. -3967.41 What is the difference between 0.07 and 0.00903? 0.06097 Add together 2.1 and 12980. 12982.1 What is -24831 take away 2? -24833 -10.3+-125.95 -136.25 Total of 152 and 3.4. 155.4 Sum 101016 and -0.05. 101015.95 -1 - 1.254427 -2.254427 What is the distance between 23 and 0.075822? 22.924178 -114.9+6 -108.9 Calculate -23637 + -12. -23649 Calculate -0.7 + -11712. -11712.7 What is -1 + 164? 163 Add together -0.2 and -19.408. -19.608 What is the difference between 1337 and 423? 914 Put together 4 and -1.93. 2.07 10 + 64338 64348 0 - 2.3022 -2.3022 What is 0.862 + -24? -23.138 Sum 650 and -0.1. 649.9 What is -0.01 minus -362950? 362949.99 -6 - -133598 133592 What is -307 minus -0.0107? -306.9893 Add together 11941 and 0.5. 11941.5 What is -0.215 take away 9? -9.215 Subtract 11.3 from 122. 110.7 What is 128.8 - 3? 125.8 Subtract -763 from -5. 758 Add 12 and -741. -729 Add together 0.07 and -0.72102. -0.65102 Total of 13081 and -290. 12791 What is -0.2 take away -105432? 105431.8 Put together 3 and 26372. 26375 What is the distance between -2 and -208947? 208945 Work out 9 + 7804. 7813 Add -0.05 and 585. 584.95 What is -1513 minus -0.1? -1512.9 What is the distance between -0.1 and -84.97? 84.87 Work out -24107 + 0.49. -24106.51 What is 147 less than -304? -451 What is 4.86 plus 4.192? 9.052 Work out -382 + -0.5. -382.5 What is the distance between 3 and -4.3? 7.3 What is -41.89 minus -0.1? -41.79 What is 0.5 minus -393910? 393910.5 What is -0.97 minus 13.6? -14.57 What is 0.3 - 283.5? -283.2 What is the difference between 0.837 and 19897? 19896.163 Calculate -0.5 + 10.08. 9.58 What is the difference between 0.02 and 109? 108.98 Put together 0.2 and 2.478. 2.678 What is 2992875 + 0.2? 2992875.2 What is 0.977 plus 6236? 6236.977 -1.08 - 9 -10.08 Add -553 and -0.315. -553.315 What is the difference between 270 and -1439? 1709 What is -0
{ "pile_set_name": "DM Mathematics" }
h**5 + 604*h**2 + 2*h + 675? 3426000*h**2 What is the derivative of 2*d**3 + 804311*d - 16734077 wrt d? 6*d**2 + 804311 Differentiate 5*q*s**3 + q*s + 711*q - 22*s**3 + 36*s**2 + 505 wrt s. 15*q*s**2 + q - 66*s**2 + 72*s What is the second derivative of -j**4 - 2194*j**3 - 151*j**2 + 103928748*j? -12*j**2 - 13164*j - 302 Find the second derivative of -856*t**3 - 4999*t**2*u + 5677*t*u + 83*u wrt t. -5136*t - 9998*u Differentiate 1556*d*j + 471664868*d + 91415*j**4 wrt j. 1556*d + 365660*j**3 Find the second derivative of 82587428*v**2 - 110072356*v wrt v. 165174856 Find the third derivative of 11012*j**3*m**3 + 832*j**3*m**2 - 126*j**3*m + 2*j**3 + j**2*m**3 + 14*j**2*m + 17*j*m**3 wrt m. 66072*j**3 + 6*j**2 + 102*j What is the derivative of 4*h**4 - 9251*h**3 - 17*h**2 + 404823 wrt h? 16*h**3 - 27753*h**2 - 34*h What is the second derivative of 3018222*y**4 + 7073560*y wrt y? 36218664*y**2 Find the third derivative of 123*z**6 - 5*z**5 - 25181*z**3 + 2*z**2 + 595170*z. 14760*z**3 - 300*z**2 - 151086 Find the second derivative of 4665225*i*t**4 + 5259*i*t - t**2 - 31*t - 4 wrt t. 55982700*i*t**2 - 2 What is the first derivative of -412261*f**4 + 7*f**3 - 2589385 wrt f? -1649044*f**3 + 21*f**2 Find the first derivative of 1111*a**3*p + 83038*a*p + 475530211*p wrt a. 3333*a**2*p + 83038*p What is the second derivative of 147*m**4 + 21223*m**2 - 2069248*m? 1764*m**2 + 42446 What is the derivative of 2*g**4 - 2*g**3 - 3*g**2 - 10*g + 7920460? 8*g**3 - 6*g**2 - 6*g - 10 Find the third derivative of 9*h**2*w**3*z**3 + 11*h**2*w**2*z**3 + 4*h**2*w*z**2 + 391*h*w**2*z**3 + h + 319381*w**3*z**3 - 2*w**2*z**3 wrt w. 54*h**2*z**3 + 1916286*z**3 What is the second derivative of 603737*j**3 - 44912887*j? 3622422*j What is the first derivative of 147439392*f*h**2 + 194408295*h**2 wrt f? 147439392*h**2 What is the first derivative of -7215783*l**2 - 6731074 wrt l? -14431566*l What is the derivative of -2336605*a**2 + 6*a + 126385579? -4673210*a + 6 What is the second derivative of -13654*f**3 + 38*f**2 + 225198*f? -81924*f + 76 Find the first derivative of -1015178437*v + 847642349. -1015178437 Differentiate -104*y**4 + 13121*y + 5102409 with respect to y. -416*y**3 + 13121 Find the third derivative of 894*i**5 - i**4 + 88653*i**3 - 57828*i**2 - 1508*i wrt i. 53640*i**2 - 24*i + 531918 Differentiate -2407866*j**2*o**3 + 18*j**2*o**2 + 211519755*o**3 wrt j. -4815732*j*o**3 + 36*j*o**2 Find the third derivative of -13*g*l*w**3 + 2*g*l*w**2 + 155529*g*l + 14*g*w**3 + 3*g + 26*l*w**3 + l*w**2 - 4*l*w + 5*w**3 wrt w. -78*g*l + 84*g + 156*l + 30 What is the second derivative of 3147709*z**2 - 206201*z + 42 wrt z? 6295418 Differentiate -238493*x**4 - 6923499 wrt x. -953972*x**3 Find the second derivative of 224*i**4 - 150*i**2 + 43383082*i - 2 wrt i. 2688*i**2 - 300 What is the second derivative of 2434*g**3*w**2 + g**3*w - 2*g**3 + 5382*g**2*w**4 + 2*g**2*w + 384120*g**2 wrt w? 4868*g**3 + 64584*g**2*w**2 What is the first derivative of 11*k**2*s**2 - 3*k**2 + 1465437*k*s + 17193968*k + 2 wrt s? 22*k**2*s + 1465437*k What is the derivative of -52286440*y + 7494375 wrt y? -52286440 What is the derivative of -13432313*k**4 - 153825001 wrt k? -53729252*k**3 Find the third derivative of -1807913*q**3*x + 3*q**2*x + 60*q**2 + 2*q*x + 61*x + 1 wrt q. -10847478*x Find the first derivative of 127670060*y - 231869667 wrt y. 127670060 Find the third derivative of -389232246*k**3 + 43991121*k**2 - 2 wrt k. -2335393476 What is the third derivative of 705*n**2*p**4 - 149*n**2*p**2 + 108*n**2 - 4*n*p**2 - 2*n + 4506*p**4 + 3*p**2 wrt p? 16920*n**2*p + 108144*p Find the third derivative of -21*d**2*g**4 + 3086012*d**2*g**2 - 55414*g**3 wrt g. -504*d**2*g - 332484 What is the first derivative of -j*n*y - 2*j*n - 79085*j*y - 3*j - 1750*n*y - 77*n + 4*y wrt j? -n*y - 2*n - 79085*y - 3 What is the third derivative of -193562604*d**3*r**4 + 2214*d**3*r + 3*d*r**2 + 2522*r**2 wrt r? -4645502496*d**3*r Differentiate -3*b**3 - 51164929*b**2 + 2*b*o + 362137942*o with respect to b. -9*b**2 - 102329858*b + 2*o What is the third derivative of -10604713*o**6 - 1468713*o**2? -1272565560*o**3 Find the second derivative of -1302*c**2*y**4 + 1085*c**2*y**2 - 9*c**2*y + 6792*c**2 - 2*c*y - 125*c - 2*y wrt y. -15624*c**2*y**2 + 2170*c**2 Find the first derivative of -2*
{ "pile_set_name": "DM Mathematics" }
6? 2, 3, 27679913 What are the prime factors of 1747980860? 2, 5, 79, 1106317 What are the prime factors of 1119803927? 11, 37, 2751361 What are the prime factors of 594349465? 5, 919, 129347 What are the prime factors of 126841749? 3, 1427, 29629 List the prime factors of 104241891. 3, 13, 263, 10163 List the prime factors of 26363923. 17, 1550819 List the prime factors of 675849151. 2237, 302123 What are the prime factors of 516114659? 199, 971, 2671 What are the prime factors of 397425503? 2267, 175309 List the prime factors of 40112582. 2, 20056291 List the prime factors of 155874005. 5, 7, 19, 41, 5717 List the prime factors of 140799013. 157, 947 List the prime factors of 81114460. 2, 5, 7, 263, 2203 List the prime factors of 292647037. 31, 9440227 List the prime factors of 16981497. 3, 13, 19, 7639 What are the prime factors of 13210021? 11, 179, 6709 What are the prime factors of 518349870? 2, 3, 5, 443, 13001 What are the prime factors of 17313255? 3, 5, 59, 6521 What are the prime factors of 67859515? 5, 13571903 What are the prime factors of 6821681? 229, 29789 What are the prime factors of 21552070? 2, 5, 2155207 What are the prime factors of 410289025? 5, 16411561 What are the prime factors of 40759576? 2, 11, 13, 41, 79 List the prime factors of 42006756. 2, 3, 11, 318233 What are the prime factors of 56577834? 2, 3, 89, 35317 What are the prime factors of 2284499776? 2, 13, 61, 45013 What are the prime factors of 1122535372? 2, 7, 467, 85847 What are the prime factors of 403886542? 2, 2729, 73999 What are the prime factors of 519650028? 2, 3, 14434723 What are the prime factors of 294929141? 13, 17, 59, 22619 List the prime factors of 223652311. 1471, 152041 List the prime factors of 324789858. 2, 3, 6014627 What are the prime factors of 138553017? 3, 46184339 What are the prime factors of 424128213? 3, 4327, 10891 What are the prime factors of 18402409? 43, 281, 1523 List the prime factors of 7236305822. 2, 127, 28489393 What are the prime factors of 153307518? 2, 3, 7, 13, 61, 4603 List the prime factors of 57956317. 57956317 List the prime factors of 81645433. 43, 191, 9941 List the prime factors of 28416854. 2, 41, 346547 What are the prime factors of 16134288? 2, 3, 43, 7817 List the prime factors of 52675555. 5, 10535111 List the prime factors of 132488679. 3, 44162893 List the prime factors of 81233186. 2, 40616593 What are the prime factors of 51840833? 11, 461, 10223 List the prime factors of 505803531. 3, 168601177 What are the prime factors of 137222658? 2, 3, 7623481 List the prime factors of 132408067. 11, 12037097 List the prime factors of 143231586. 2, 3, 59, 401, 1009 What are the prime factors of 31315116? 2, 3, 7, 19, 2803 List the prime factors of 7840701927. 3, 59, 14765917 What are the prime factors of 57789627? 3, 7, 2751887 What are the prime factors of 299031309? 3, 17, 97, 20149 What are the prime factors of 757432520? 2, 5, 13, 283, 5147 What are the prime factors of 24753247? 197, 125651 List the prime factors of 21077837. 11, 174197 List the prime factors of 65753789. 59, 1114471 What are the prime factors of 666504328? 2, 7, 1327, 8969 What are the prime factors of 6628374443? 17, 389904379 List the prime factors of 5479949884. 2, 61, 22458811 What are the prime factors of 626099399? 23, 27221713 List the prime factors of 352631972. 2, 7, 11, 61, 137 List the prime factors of 1162854168. 2, 3, 7, 179, 38669 What are the prime factors of 37733829? 3, 7, 17, 19, 5563 What are the prime factors of 1585714392? 2, 3, 23, 957557 List the prime factors of 242987851. 17, 769, 18587 List the prime factors of 56833410. 2, 3, 5, 607, 3121 What are the prime factors of 76324483? 139, 549097 What are the prime factors of 214454117? 214454117 List the prime factors of 296067800. 2, 5, 7, 30211 List the prime factors of 186922568. 2, 7, 3337903 What are the prime factors of 5263386780? 2, 3, 5, 87723113 List the prime factors of 520559255. 5, 104111851 What are the prime factors of 138370431? 3, 43, 311, 3449 List the prime factors of 3135204373. 7, 61, 311, 23609 What are the prime factors of 77073076? 2, 3557, 5417 What are the prime factors of 56112156? 2, 3, 127, 4091 What are the prime factors of 2294855880? 2, 3, 5, 19123799 List the prime factors of 3421742. 2, 1710871 What are the prime factors of 257140781? 4969, 51749 What are the prime factors of 58777512? 2, 3, 23, 233, 457 What are the prime factors of 55458958? 2, 1283, 21613 What are the prime factors of 7970457? 3, 11, 149, 1621 What are the prime factors of 17869255? 5, 113, 31627 List the prime factors of 235525352. 2, 31, 949699 List the prime factors of 1039800613. 1039800613 What are the prime factors of 201107478? 2, 3, 11, 13, 31, 7561 What are the prime factors of 3459802932? 2, 3, 137, 179, 3919 List the prime factors of 1360563829. 101, 13470929 What are the prime factors of 1480375657? 17, 23, 3786127 List the prime factors of 215569933. 347, 621239 What are the prime factors of 14663333? 17, 467, 1847 What are the prime factors of 3467958104? 2, 13, 41, 813311 List the prime factors of 3156718865. 5, 17, 331, 112199 What are the prime factors of 3803152515? 3, 5, 253543501 What are the prime factors of 173913439? 7, 24844777 List the prime factors of 632608542. 2, 3, 163, 23957 What are the prime factors of 160161258? 2, 3, 29, 920467 List the prime factors of 5385038. 2, 2692519 What are the prime factors of 534310811? 41, 2063, 6317 What are the prime factors of 597956849? 7, 181, 67421 List the prime factors of 1788589254. 2, 3, 67, 4449227 List the prime factors of 367487284. 2, 19, 23, 210233 What are the prime factors of 2319441391? 83, 27945077 What are the prime factors of 410927084? 2, 10
{ "pile_set_name": "DM Mathematics" }
ulate prob of picking 1 o, 1 j, and 2 d when four letters picked without replacement from odxdoddooddxjooddo. 49/765 What is prob of picking 1 d and 1 j when two letters picked without replacement from {d: 2, v: 1, o: 2, l: 4, j: 3, h: 3}? 2/35 Two letters picked without replacement from iqqqqiiiiii. Give prob of picking 2 i. 21/55 Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {p: 4, z: 4, l: 2, q: 1, g: 3}. 12/91 Two letters picked without replacement from srdbrdbbbnrpdnbbdb. Give prob of picking 1 p and 1 n. 2/153 Two letters picked without replacement from {e: 2, z: 2, t: 3, w: 9, r: 1}. What is prob of picking 1 z and 1 w? 9/68 Two letters picked without replacement from jpanckank. Give prob of picking 1 a and 1 j. 1/18 Two letters picked without replacement from hhh. Give prob of picking 2 h. 1 Four letters picked without replacement from tvwwvvtvwwwwwvw. Give prob of picking 4 v. 1/273 Three letters picked without replacement from yyyyssy. What is prob of picking 3 y? 2/7 Two letters picked without replacement from ymuueyeeyejs. What is prob of picking 1 s and 1 u? 1/33 What is prob of picking 2 m when two letters picked without replacement from mmmmwxxw? 3/14 What is prob of picking 3 t when three letters picked without replacement from {t: 9}? 1 Three letters picked without replacement from {m: 2, q: 1, z: 8, n: 1, c: 7, h: 1}. What is prob of picking 1 c, 1 n, and 1 h? 7/1140 Two letters picked without replacement from {r: 1, n: 1, m: 3, d: 6, i: 4}. Give prob of picking 1 n and 1 d. 2/35 Three letters picked without replacement from yyqyyaaqqyqy. Give prob of picking 2 y and 1 q. 3/11 Three letters picked without replacement from {w: 6, x: 2}. Give prob of picking 2 w and 1 x. 15/28 What is prob of picking 1 g and 1 q when two letters picked without replacement from {z: 4, t: 1, q: 1, y: 1, g: 1}? 1/28 What is prob of picking 1 w and 1 v when two letters picked without replacement from {v: 1, m: 1, w: 2}? 1/3 What is prob of picking 3 t when three letters picked without replacement from tbbbdbttb? 1/84 Calculate prob of picking 1 u and 3 d when four letters picked without replacement from dddduddduuudddduuuuu. 99/323 Calculate prob of picking 2 z when two letters picked without replacement from appppappzzaappzzpaa. 2/57 What is prob of picking 1 n and 1 a when two letters picked without replacement from {l: 4, m: 3, n: 1, a: 6, u: 1}? 2/35 Calculate prob of picking 3 r when three letters picked without replacement from {i: 6, r: 6}. 1/11 Calculate prob of picking 2 u when two letters picked without replacement from ugguuuuuggu. 21/55 Four letters picked without replacement from abtatdcb. What is prob of picking 1 d, 1 a, 1 t, and 1 b? 4/35 What is prob of picking 4 m when four letters picked without replacement from {m: 6, v: 12}? 1/204 Two letters picked without replacement from lllmlllllllm. Give prob of picking 1 l and 1 m. 10/33 Four letters picked without replacement from {v: 4, t: 6, r: 2, w: 1, s: 1, c: 4}. What is prob of picking 1 s, 2 v, and 1 w? 1/510 What is prob of picking 1 a, 1 y, and 2 p when four letters picked without replacement from {p: 2, m: 2, a: 1, y: 1, d: 2}? 1/70 Two letters picked without replacement from fdfnssfdf. What is prob of picking 1 s and 1 f? 2/9 Two letters picked without replacement from {e: 1, d: 17}. What is prob of picking 2 d? 8/9 What is prob of picking 2 h, 1 x, and 1 f when four letters picked without replacement from {f: 5, h: 4, x: 7, j: 2}? 7/102 Calculate prob of picking 2 i when two letters picked without replacement from ihhhhhihhhhi. 1/22 Calculate prob of picking 3 q and 1 l when four letters picked without replacement from {q: 4, l: 3}. 12/35 Two letters picked without replacement from gugytyyys. What is prob of picking 2 g? 1/36 Two letters picked without replacement from {p: 1, t: 1, f: 1, b: 1, j: 3}. Give prob of picking 1 f and 1 j. 1/7 What is prob of picking 1 m and 3 v when four letters picked without replacement from mmvmvmvmvvmvmvvmmvvv? 99/323 What is prob of picking 1 r, 1 z, and 1 e when three letters picked without replacement from {z: 5, r: 2, c: 1, e: 1}? 5/42 Two letters picked without replacement from vvbvvvvv. What is prob of picking 1 v and 1 b? 1/4 Two letters picked without replacement from {l: 2, i: 1, w: 1, r: 4}. What is prob of picking 2 r? 3/14 Two letters picked without replacement from rqrrdvqvvv. Give prob of picking 1 d and 1 v. 4/45 Three letters picked without replacement from {e: 2, f: 2, n: 1, a: 4}. What is prob of picking 1 n and 2 a? 1/14 Two letters picked without replacement from {i: 3, z: 1}. What is prob of picking 2 i? 1/2 Three letters picked without replacement from ggrmjr. Give prob of picking 1 r, 1 m, and 1 j. 1/10 Two letters picked without replacement from {z: 2, q: 2}. What is prob of picking 2 z? 1/6 Two letters picked without replacement from thtuhhtyhhutthbut. What is prob of picking 2 t? 15/136 Four letters picked without replacement from {l: 6, c: 2}. What is prob of picking 4 l? 3/14 Three letters picked without replacement from {g: 1, i: 2, l: 1, u: 1, h: 2, k: 1}. Give prob of picking 1 g, 1 u, and 1 i. 1/28 What is prob of picking 2 l when two letters picked without replacement from lllmklm? 2/7 Four letters picked without replacement from {w: 2, b: 11}. What is prob of picking 4 b? 6/13 What is prob of picking 2 x when two letters picked without replacement from xxxxxdxdxxd? 28/55 Three letters picked without replacement from qmxqqqqqmeqeq. Give prob of picking 1 e, 1 x, and 1 q. 8/143 Four letters picked without replacement from uqnqunnuuuuuijqujnjn. Give prob of picking 2 n and 2 u. 56/969 Two letters picked without replacement from wwmwwmmw. Give prob of picking 2 w. 5/14 Calculate prob of picking 2 m when two letters picked without replacement from gggggggggmgmgggggggg. 1/190 Four letters picked without replacement from ioooqoqi. What is prob of picking 4 o? 1/70 Three letters picked without replacement from {c: 7, z: 12}. Give prob of picking 1 c and 2 z. 154/323 Calculate prob of picking 1 l and 1 m when two letters picked without replacement from mfmjmmmlmjmmlmjmmff. 22/171 Two letters picked without replacement from {t: 2, u: 4}. Give prob of picking 1 u and 1 t. 8/15 What is prob of picking 1 y and 1 g when two letters picked without replacement from cyhgc? 1/10 Three letters picked without replacement from {t: 1, q: 2, z: 1, j: 1, v: 2, u: 2}. Give prob of picking 1 t and 2 q. 1/84 Two letters picked without replacement from {f: 4, k: 2, r: 8, o: 2}. Give prob of picking 1 o and 1 f. 1/
{ "pile_set_name": "DM Mathematics" }
i + 0*i - 80 = -5*c. Let f = -9 + 10. Let b = c - f. What are the prime factors of b? 11 Suppose 280 = 5*w + 10. List the prime factors of w. 2, 3 Let n(d) = 10*d + 2. What are the prime factors of n(5)? 2, 13 Suppose -3*v = 36 - 168. List the prime factors of v. 2, 11 Let w = -23 - -41. What are the prime factors of w? 2, 3 Suppose 5*r + 0*r - 105 = 0. What are the prime factors of r? 3, 7 Let r = 150 - 155. Let u(w) be the first derivative of w**3/3 + 5*w**2/2 + 3*w - 1. What are the prime factors of u(r)? 3 Suppose 0*w - 2*w - j = -65, 4*j = -4*w + 136. What are the prime factors of w? 31 Suppose -4*c - 2*t + 427 = 3*t, 3*c = 4*t + 359. What are the prime factors of c? 113 Let s be 3/(-1) - (-12)/2. Suppose -10 = -s*t + 17. List the prime factors of t. 3 Let z = 10 - 7. Suppose 6*g - 7 = z*g + 4*p, 4*p - 29 = -g. What are the prime factors of g? 3 Let i(y) = -y**2 + 5*y + 5. Let t be i(6). Let h be (t - -5 - -2)*-1. Let q(f) = -f**3 - 7*f**2 - 6*f + 5. List the prime factors of q(h). 5 Let m = -23 - -41. Suppose -5*g + m = -2*g. What are the prime factors of g? 2, 3 Let c = -37 + 87. List the prime factors of c. 2, 5 Let r = -3 - -59. List the prime factors of r. 2, 7 Let i be (-12)/(-1 + 2)*-1. Let g = -8 + i. List the prime factors of g. 2 Suppose -3*p + 29 = -q - q, 0 = -4*p + 3*q + 40. List the prime factors of p. 7 Suppose 3*h - 2*h = -4*p + 221, 3*p - 147 = 3*h. What are the prime factors of p? 2, 3 Suppose 2*s + 5*a - 2 = 1, -4*s + 3*a = 7. What are the prime factors of (2/s)/((-10)/125)? 5 What are the prime factors of (-43)/(3*(-4)/12)? 43 Let v(k) = -k**3 + 8*k**2 + 2*k - 10. Let j be v(8). Let c(s) = s**3 - 5*s**2 - 5*s + 2. What are the prime factors of c(j)? 2 Let l(j) = -j**3 - 6*j**2 - 6*j - 5. Let a be l(-5). Suppose a*s = s. Suppose 2*y - 5*y = -5*c + 5, -3*y - 5*c + 35 = s. List the prime factors of y. 5 Suppose j = -j - 18. Let l(h) = -h**2 - 12*h - 12. Let d be l(j). Let y = -4 + d. What are the prime factors of y? 11 Let g(n) = 5*n. What are the prime factors of g(6)? 2, 3, 5 Suppose -7*b + 2 = -6*b. Suppose b*t = -19 + 39. List the prime factors of t. 2, 5 Suppose i + 18 = 3*i. Suppose -4*q - 6*n + n - i = 0, 0 = -5*q + 2*n + 30. Suppose 5*m + 3 = g - q, -g + 3 = -m. List the prime factors of g. 2 Suppose d - 216 = 4*w, 2*w = 7*d - 3*d - 850. What are the prime factors of d? 2, 53 Let k(r) = -5*r**2 - 2*r. Let p(o) = 6*o**2 + 3*o + 1. Let s(y) = -3*k(y) - 2*p(y). List the prime factors of s(2). 2, 5 Suppose 2*c = 5 + 3. Let s(p) = p**2 - 2*p - 3. What are the prime factors of s(c)? 5 Suppose -5*b = 3*j - 16, -2*j + 26 + 14 = -4*b. Let p = -2 - -3. Let g = j + p. What are the prime factors of g? 13 Suppose 64 = 4*w - 4*n, -6*w - 5*n = -3*w - 16. Suppose 3*d = -d - w. List the prime factors of (1/d)/(1/(-33)). 11 Suppose 5 = 2*p - 4*m - m, 2*p + 5*m = 15. Suppose -p*s + 128 = -s. Suppose 2*n - s = -i + 3*i, 2*n = 5*i + 41. List the prime factors of n. 13 Let a(d) be the first derivative of -2*d**3/3 - d**2/2 + 2. Let h be a(1). List the prime factors of 52/6 - (-2)/h. 2 Suppose 3*c - 2*c + 159 = 2*n, 343 = 4*n + 3*c. What are the prime factors of n? 2, 41 Let w = -11 - -11. Suppose -k = -w*k - 4. List the prime factors of k. 2 Suppose -3*w = -5*s - 3 + 39, s = -5*w + 24. Let j(m) = 2*m - 12. What are the prime factors of j(s)? 2, 3 Suppose q - 5 = -0*q. List the prime factors of q. 5 Let x(v) be the third derivative of v**5/60 - v**4/8 - v**3 + 2*v**2. List the prime factors of x(6). 2, 3 Let h(j) = j + 0*j + 2*j + 0 - 7. List the prime factors of h(10). 23 Suppose -119 - 17 = -4*o. Suppose 0 = -3*i + m + o, i = 5*i + 3*m - 67. What are the prime factors of i? 13 Let b(w) = 4*w - 6. Let z be b(6). Let x be (-144)/27*z/(-8). Suppose -x = -4*h + 5*o + 11, 56 = 3*h + 4*o. List the prime factors of h. 2, 3 Suppose -n = -4*n. What are the prime factors of (-2 - n)/((-5)/30)? 2, 3 Suppose -5 = -5*u - 5*i, i = 2*u + 3*u - 11. Let v = u - -11. List the prime factors of v. 13 What are the prime factors of (-3)/6 - (-268)/8? 3, 11 Let f = -78 - -115. List the prime factors of f. 37 Let n(w) = 6*w + 4. Let j(c) = -13*c - 9. Let p(t) = 3*j(t) + 7*n(t). Let v be p(1). Suppose -r = v*r - 30. What are the prime factors of r? 2, 3 Let f = -5 + 7. Suppose v + 0 - 4 = 0. Let o = v - f. What are the prime factors of o? 2 Let u = -39 + 66. Suppose -3*b - 22 = -2*s - 5*b, 2*s + 3*b = u. Suppose s*l - 39 = 3*l. What are the prime factors of l? 13 Let k(i) = -2*i + 6. Let z be k(4). What are the prime factors of 2/(2/(-24)*z)? 2, 3 Let h be 33/(((-3)/(-2))/1). Suppose 2*k + 3*q - h = -3*k, 0 = k - q + 2. Suppose v - 9
{ "pile_set_name": "DM Mathematics" }
/4 = 0. Calculate i. -1, 1 Let g(r) be the second derivative of -r**7/147 - 2*r**6/105 + r**4/21 + r**3/21 - 2*r. Factor g(t). -2*t*(t - 1)*(t + 1)**3/7 Let k(g) = -4*g - 181. Let m be k(-46). What is b in 18/5*b**m - 18/5*b + 4/5 - 4/5*b**2 = 0? -1, 2/9, 1 Let k(h) = -3*h**3 - 8*h**2 - h + 12. Let g(x) = -8*x**3 - 25*x**2 - 3*x + 36. Let f(l) = 4*g(l) - 11*k(l). Find m, given that f(m) = 0. -1, 1, 12 Determine a so that 2/7*a**3 - 2/7*a - 2/7*a**2 + 2/7 = 0. -1, 1 Let v(o) = 10*o**4 + 6*o**3 + 2*o**2 + 6*o. Let l(d) = -19*d**4 - 13*d**3 - 5*d**2 - 11*d. Let z(f) = 6*l(f) + 11*v(f). Factor z(s). -4*s**2*(s + 1)*(s + 2) Let l be (2 + 0)/(20/(-184)). Let y = -18 - l. Solve -2/5*k**2 + y + 2/5*k - 2/5*k**3 = 0 for k. -1, 1 Let y(m) be the third derivative of m**7/140 - 3*m**6/80 - m**5/40 + 3*m**4/16 + 15*m**2. Determine x so that y(x) = 0. -1, 0, 1, 3 Let h = 697/462 + -2/231. Find f such that -h + 3/2*f**3 - 3/2*f + 3/2*f**2 = 0. -1, 1 Let k be -1 + (-2 - -3*3). Suppose 2*x - 4 = k. Suppose 4*l - 5*l**4 - l**x - 14*l**3 + 3*l**3 - l**5 + 14*l**4 = 0. Calculate l. -1/2, 0, 1, 2 Let o(c) = -2*c - 6. Let x be o(-3). Let f(v) be the second derivative of 0*v**2 - v + 1/6*v**4 + x*v**3 + 0 - 1/10*v**5. Factor f(m). -2*m**2*(m - 1) Let g(m) = 2*m**2 - 9*m + 15. Let c(u) = u - 1. Let r(f) = -3*c(f) + g(f). Solve r(v) = 0. 3 Let a(k) = k**3 + 4*k**2 + 3*k. Suppose s - 5*m = -0*s + 9, -5*s = 4*m + 13. Let g(l) = l**3 + l**2. Let i(f) = s*a(f) + 4*g(f). Suppose i(u) = 0. Calculate u. -1, 0, 1 Let v = 16/71 + 62/355. Factor -8/5 + 8/5*q - v*q**2. -2*(q - 2)**2/5 Determine k so that -2/9*k + 2/9*k**3 + 0*k**2 + 0 = 0. -1, 0, 1 Let c(q) = -15*q**2 - 4*q + 11. Let k(w) be the first derivative of -7*w**3/3 - w**2 + 5*w - 4. Let u(t) = -6*c(t) + 13*k(t). Factor u(y). -(y + 1)**2 Let p be 2/5 + -13 + (-564)/(-40). Suppose -3*f**2 + p*f + 3/2 - 3*f**3 + 3/2*f**5 + 3/2*f**4 = 0. Calculate f. -1, 1 Let m(a) be the second derivative of -3*a - 1/80*a**5 + 0 - 1/3*a**3 - 1/2*a**2 - 5/48*a**4. Solve m(l) = 0 for l. -2, -1 Let r = -419/3 - -109. Let s = r + 32. Factor -s*f**3 + 8/3*f**4 - 1/3*f + 5/3*f**5 + 2/3 - 10/3*f**2. (f - 1)*(f + 1)**3*(5*f - 2)/3 Let v(l) be the first derivative of l**5/20 - l**4/2 + 2*l**3 - l**2 - 4. Let i(b) be the second derivative of v(b). Suppose i(x) = 0. What is x? 2 Let c be (84/35)/((-3)/(-2)). Let i be 8/(-5) + 2 + 2. Factor -2/5 - 2/5*q**4 - 8/5*q - i*q**2 - c*q**3. -2*(q + 1)**4/5 Let z(h) be the first derivative of h**5/15 - h**4/2 + 4*h**3/3 - h**2/2 + 4. Let d(y) be the second derivative of z(y). Solve d(t) = 0 for t. 1, 2 Let i(r) be the second derivative of 75*r**5/4 - 75*r**4/4 + 15*r**3/2 - 3*r**2/2 + 9*r. Factor i(a). 3*(5*a - 1)**3 Suppose -6*p + 2*p = -8. Let s(t) be the first derivative of -2 + 0*t + 0*t**3 + 0*t**p + 1/25*t**5 + 1/20*t**4. Solve s(w) = 0. -1, 0 Let b = 27 + -13. Let x be (-22)/(-5) - b/35. Let -8 + 0*f**2 - 6*f - 2*f**2 + x = 0. What is f? -2, -1 Let q(y) be the first derivative of -3 - 2/21*y**3 - 8/7*y + 4/7*y**2. Factor q(a). -2*(a - 2)**2/7 Let q(p) be the first derivative of -p**4 - 4*p**3 - 4*p**2 - 12. Determine j, given that q(j) = 0. -2, -1, 0 Let t(h) = 10*h**2 - 8*h + 10. Let j(f) be the third derivative of f**5/15 - f**4/8 + 2*f**3/3 - f**2. Let q(r) = 12*j(r) - 5*t(r). Suppose q(z) = 0. What is z? 1 Let i(s) be the third derivative of s**9/90720 - s**8/15120 - s**7/7560 + s**6/540 - s**5/20 + 6*s**2. Let n(v) be the third derivative of i(v). Factor n(c). 2*(c - 2)*(c - 1)*(c + 1)/3 Factor 0*h + 4*h**4 + 3 + 6*h + 2*h - 8*h**3 + 9 - 16*h**2. 4*(h - 3)*(h - 1)*(h + 1)**2 Let b(n) = n + 1. Let m be b(7). Suppose m = 3*h - 7. Determine f, given that 4*f**5 + 6*f**4 + f**3 + 5*f**3 + 2*f**2 - 2*f**h = 0. -1, 0 Let l = -23 - -33. Suppose -5*z + l = -0. Find n such that 4/5*n**z + 2/5 - 6/5*n + 2/5*n**
{ "pile_set_name": "DM Mathematics" }
True Does 5 divide 3365? True Is 2 a factor of 2162? True Is 649 a multiple of 45? False Is 13 a factor of 571? False Is 1332 a multiple of 148? True Is 5514 a multiple of 30? False Is 832 a multiple of 13? True Is 22511 a multiple of 19? False Does 38 divide 38266? True Is 5 a factor of 13? False Does 7 divide 658? True Does 12 divide 16596? True Is 8370 a multiple of 27? True Does 19 divide 811? False Is 12 a factor of 12? True Does 2 divide 6135? False Is 23235 a multiple of 5? True Is 94 a factor of 188? True Is 45442 a multiple of 29? False Is 8 a factor of 1609? False Is 33 a factor of 627? True Does 50 divide 266? False Is 44 a factor of 16739? False Is 1832 a multiple of 229? True Does 35 divide 4130? True Is 26 a factor of 24908? True Is 114 a multiple of 6? True Does 36 divide 1330? False Does 37 divide 19142? False Is 936 a multiple of 9? True Is 5271 a multiple of 56? False Does 23 divide 40391? False Is 60 a factor of 389? False Is 791 a multiple of 4? False Is 28 a factor of 552? False Is 2912 a multiple of 32? True Does 6 divide 13098? True Is 396 a multiple of 66? True Is 148 a factor of 25968? False Is 21 a factor of 509? False Does 78 divide 11466? True Is 142 a factor of 29252? True Is 10608 a multiple of 12? True Does 11 divide 145046? True Is 1926 a multiple of 71? False Does 44 divide 10296? True Is 2300 a multiple of 50? True Does 242 divide 39930? True Does 7 divide 63? True Does 11 divide 25619? True Is 16 a factor of 20671? False Is 258 even? True Is 83658 a multiple of 73? True Is 3 a factor of 54? True Does 6 divide 14358? True Is 3749 a multiple of 21? False Is 14 a factor of 1708? True Is 18 a factor of 18576? True Is 3431 a multiple of 20? False Does 27 divide 2433? False Is 4912 a multiple of 10? False Is 155 a factor of 16204? False Is 50 a factor of 7250? True Is 6453 a multiple of 27? True Does 120 divide 7730? False Is 2 a factor of 493? False Is 252 a factor of 29250? False Is 23 a factor of 591? False Is 10041 a multiple of 20? False Is 66 a factor of 19799? False Is 1396 a multiple of 16? False Is 11 a factor of 5027? True Does 49 divide 343? True Is 77 a factor of 10489? False Is 12 a factor of 1327? False Is 16 a factor of 12320? True Is 48 a multiple of 12? True Is 35926 a multiple of 142? True Does 12 divide 2431? False Is 30 a factor of 1183? False Is 49055 a multiple of 7? False Is 5273 a multiple of 135? False Is 8989 a multiple of 101? True Is 9164 a multiple of 38? False Does 60 divide 3188? False Is 2308 a multiple of 97? False Does 52 divide 1300? True Does 16 divide 1088? True Does 5 divide 160? True Is 7 a factor of 119? True Does 45 divide 10620? True Is 33 a factor of 1551? True Is 12233 a multiple of 13? True Does 150 divide 19126? False Is 684 a multiple of 19? True Is 36 a factor of 925? False Is 3 a factor of 5386? False Does 50 divide 2359? False Is 483 a multiple of 15? False Is 4 a factor of 3878? False Does 26 divide 520? True Does 13 divide 9813? False Is 26 a factor of 2262? True Is 28 a factor of 10648? False Is 13 a factor of 129? False Is 68 a factor of 31925? False Is 2428 a multiple of 4? True Is 15 a factor of 8085? True Does 23 divide 64492? True Is 25 a factor of 3450? True Is 1040 a multiple of 40? True Is 29 a factor of 2408? False Is 352 a multiple of 3? False Is 93 a factor of 140? False Is 184 a factor of 10672? True Is 21918 a multiple of 113? False Is 14524 a multiple of 135? False Is 12 a factor of 528? True Does 42 divide 4914? True Is 5029 a multiple of 13? False Is 33 a multiple of 2? False Is 11 a factor of 366? False Is 202 a multiple of 11? False Does 4 divide 573? False Is 42862 a multiple of 29? True Is 17 a factor of 187? True Is 12 a factor of 3780? True Does 69 divide 141864? True Is 14 a factor of 25299? False Is 1562 a multiple of 11? True Is 859 a multiple of 72? False Is 16 a factor of 163744? True Is 58 a factor of 16936? True Is 9 a factor of 442? False Is 12420 a multiple of 14? False Is 23 a multiple of 3? False Does 96 divide 1584? False Does 80 divide 2400? True Does 32 divide 2265? False Is 30541 a multiple of 13? False Is 2247 even? False Is 2048 a multiple of 64? True Is 8792 a multiple of 14? True Is 758 a multiple of 13? False Is 14439 a multiple of 27? False Does 6 divide 1068? True Does 32 divide 36? False Is 312 a multiple of 52? True Does 10 divide 1820? True Is 8 a factor of 1104? True Does 4 divide 1125? False Is 14050 a multiple of 27? False Is 19 a factor of 1176? False Does 67 divide 16214? True Is 9 a factor of 8218? False Does 6 divide 58? False Is 1639 a multiple of 11? True Does 5 divide 60? True Is 24771 a multiple of 359? True Does 151 divide 11302? False Does 3 divide 4422? True Is 11 a factor of 14468? False Is 1020 a multiple of 51? True Is 66 a factor of 5762? False Is 1625 a multiple of 5? True Is 1554 a multiple of 13? False Does 6 divide 2333? False Does 12 divide 1112? False Is 261 a factor of 12528? True Is 3120 a multiple of 15? True Is 1742 a multiple of 13? True Is 23 a factor of 10969? False Is 6487 a multiple of 13? True Does 15 divide 15? True Does 61 divide 55754? True Does 40 divide 286? False Does 12 divide 33672? True Is 45 a factor of 6210? True Does 39 divide 78? True Is 1404 a multiple of 54? True Does 23 divide 828? True Is 34020 a multiple of 105? True Is 315 a multiple of 35? True Is 8 a factor of 4736? True Is 29 a factor of 5119? False Does 2 divide 984? True Is 4 a factor of 240? True Is 9 a factor of 401? False Is 48 a factor of 4093? False Is 39 a factor of 517? False Is 1232 a multiple of 14? True Is 1584 a multiple of 66? True Does 71 divide 1727? False Does 35 divide 5145? True Does 8 divide 8002? False Is 3088 a multiple of 16? True Is 15 a factor of 3420? True Is 24 a factor of 55560? True Is 1065 a multiple of 10? False Does 43 divide 387? True Is 40 a factor of 20053? False Does
{ "pile_set_name": "DM Mathematics" }
not equal to -0.016? True Is 337998/25 <= 13519? False Is -1141600 at least as big as -1141600? True Is 19061 not equal to 19049? True Does -870 = -14808/17? False Which is bigger: 327/20 or 15? 327/20 Which is greater: -3.81 or 56? 56 Which is greater: 0 or 2995/2468? 2995/2468 Are -620 and 0.183 equal? False Is 1 > 4/5023? True Does -5025677 = -5025677? True Is -0.20972 != 302? True Which is greater: -48090 or -48083? -48083 Which is greater: 33/5525 or 0? 33/5525 Are -81/82 and -1 equal? False Is -2948 <= -20630/7? True Is 92022 <= 92019? False Are -268056 and -3484740/13 equal? False Which is smaller: 82225 or 82208? 82208 Are -6 and 2/5115 non-equal? True Which is bigger: 11648 or -33? 11648 Which is greater: -79 or 31206? 31206 Which is smaller: 0 or 1/18436? 0 Is 18702 at least 93504/5? True Is -1 at least -21/62416? False Which is greater: -137/64 or -3? -137/64 Which is greater: -2/3079 or -1? -2/3079 Which is greater: 7/17068 or 1? 1 Is 441 bigger than 523? False Which is smaller: -1.5 or -662/17? -662/17 Which is greater: -2.8227 or 2/9? 2/9 Is 1606 at least as big as 1665? False Is -1143562 not equal to -1143560? True Are -11/345 and 604 equal? False Is 231901 < 231901? False Which is greater: 0 or -3/176252? 0 Which is greater: -0.017711 or -2/15? -0.017711 Is 14279 greater than or equal to 14285? False Which is bigger: -434 or -3030/7? -3030/7 Which is bigger: 28579 or 28582? 28582 Is -18 equal to 53700? False Which is greater: 107167 or 107169? 107169 Is -118 less than or equal to 1519? True Which is smaller: -1954662 or -1954661? -1954662 Which is greater: -281134 or -281135? -281134 Are 0 and 886/17 equal? False Is 9729/16 greater than 607? True Are 40793 and 14 non-equal? True Which is smaller: 88/18657 or 0? 0 Which is bigger: 2/9 or -7.1613? 2/9 Is -44424 <= -44431? False Which is bigger: -2674 or -180? -180 Is 11/3907 >= 0? True Are -39/10861 and 1 equal? False Are 401632/3 and 133876 equal? False Which is greater: -20971 or -20978? -20971 Which is greater: -6360 or 6.7? 6.7 Which is bigger: -7 or 1898? 1898 Which is smaller: 0 or 0.214289? 0 Is 1 > -2/7746371? True Do 26688 and 26688 have the same value? True Is 25677 less than 0.4? False Is 1/51 not equal to 131/14? True Which is smaller: 1.158 or -4? -4 Which is greater: -36 or -817? -36 Is -411478 greater than -411478? False Is -1 at most 58/4913? True Which is smaller: -114174 or -114138? -114174 Is -1 at most -1/23020270? True Are 42145 and 42150 nonequal? True Which is bigger: 4901/70 or 70? 4901/70 Which is greater: -855 or -833? -833 Which is bigger: -77174 or -77185? -77174 Is 88160 at most -0.3? False Which is bigger: -935688 or -935691? -935688 Is 75.6 greater than or equal to 8/3? True Is -29780 at least as big as -29806? True Is 87338 less than or equal to 87343? True Are -29048 and -29049 nonequal? True Do -57 and -850 have the same value? False Which is smaller: -94321 or -1? -94321 Is -39761 bigger than -39773? True Is -1/3 less than 8000? True Which is smaller: -264508 or 2? -264508 Is 840 smaller than -7506? False Which is smaller: -2/317 or -2/19515? -2/317 Which is smaller: -4 or -2278? -2278 Which is smaller: -10/20757 or 1? -10/20757 Is -12/31 at least -3030/11? True Is -1 <= 2.43038? True Which is bigger: -136 or -3970/29? -136 Are 1/34 and -1/39733 nonequal? True Which is smaller: 7/2 or 108181? 7/2 Which is smaller: -177 or -16? -177 Which is bigger: -17 or 433? 433 Is 91562/69 > 1327? False Is 32001 bigger than 32002? False Is -31247 less than or equal to -31218? True Is -4521 smaller than -4558? False Which is smaller: 0 or -2/697331? -2/697331 Which is smaller: 40/7 or 2.614? 2.614 Which is smaller: 300/6413 or 1? 300/6413 Is -9 at least -1/13259? False Which is smaller: -1 or -3/255583? -1 Is 124987 greater than 125003? False Which is bigger: 1 or 903960? 903960 Which is bigger: 1002470 or 1002471? 1002471 Is -53519 at least -53487? False Is -3 greater than -68235? True Is 399/191 <= 1? False Which is bigger: 1015811 or 1015808? 1015811 Which is smaller: 0 or -70/28149? -70/28149 Which is greater: -1 or 162/1493? 162/1493 Which is smaller: -12684/13 or -975? -12684/13 Is -21253 at most -21345? False Is -5090 bigger than -4947? False Which is greater: -389419/3 or -129806? -129806 Which is smaller: -0.02 or 9091? -0.02 Do 156/11 and -56/37 have the same value? False Is -23013 greater than -23013? False Which is smaller: -67097 or 1/4? -67097 Is -2406 <= -2853? False Which is smaller: 2/7 or 2.59928? 2/7 Is 8028 less than or equal to 8026? False Is 2/106961 at least as big as 1? False Is 137147 >= 137146? True Which is smaller: 0.4 or -291/28? -291/28 Do -49065 and -49069 have the same value? False Is 1 at least as big as 148/1661? True Is -285/14 != -59? True Is -8 at least -2796/341? True Which is smaller: 147/31 or 5? 147/31 Which is greater: -1074 or -982/5? -982/5 Is 682 at least as big as 20467/30? False Which is smaller: 60075 or 60074? 60074 Is -2 less than 4/533? True Does -157356 = -157352? False Is 570293 at most 570293? True Is -2
{ "pile_set_name": "DM Mathematics" }
Simplify ((o**(-2/7))**32)**(-20)/(o**(-6)/o**(-2/11)*(o**1)**41) assuming o is positive. o**(11371/77) Simplify ((g**(3/22))**(-1/3)/(g**(-16)*g)**(-48))**(-7) assuming g is positive. g**(110887/22) Simplify ((g**41/(g/g**(-8/7)))**(-12))**34 assuming g is positive. g**(-110976/7) Simplify ((l**(3/2)/l*l*l)/(l/l**(3/7)))**(-2/9)*(l**(-1))**41*l*(l**(-3)*l)/l*l**(3/2) assuming l is positive. l**(-587/14) Simplify ((p**(-16)/p)/p*p/(p*((p**24*p)/p)/p)*p*(p**(-2/9))**(-1/20))**(-12) assuming p is positive. p**(7198/15) Simplify (b/(b/(b**(-23)*b*b*b))*b**10*(b/b**(4/17)*b)/(b*b**(22/3)/b))**(-1/46) assuming b is positive. b**(397/1173) Simplify ((n**(-2))**(-5/11))**(-17)/(((n*n**0/n)/n)**(-27)*(n/(n*n**(2/5)))**(3/29)) assuming n is positive. n**(-67649/1595) Simplify ((r*r/(r*r**(-3/8)))/r**1)**(1/27)/((r**0)**(-37/4)*(((r*r*(r/r**(-2/7)*r)/r*r*r)/r)/r)**(-12/5)) assuming r is positive. r**(19907/2520) Simplify ((i**12*i)**(-10/3)*i**(-1/11)/(i/i**(-27)))**10 assuming i is positive. i**(-23570/33) Simplify (((m**(-1/3)/m)**(-2)/(m*(((m*m**(1/4))/m)/m)/m*m*m)**(-2/17))**(9/13))**(-32) assuming m is positive. m**(-13776/221) Simplify ((s*s**(-5))/s**(3/4))/((s/(s*s/(s*s/s**6)))/(s*s**(1/3)))*(s**(-3)/s**(-2))/((s*s**(2/15)*s)/(s/(s*s**(6/7)*s)*s)) assuming s is positive. s**(-337/140) Simplify i*(i/i**(-1/10))/i*i**(1/2)*i**(3/5)*((i/(i*i*i/(i/(i/i**(-3/4))*i)))/i*i)/i*(i*i/i**(-4/9)*i/(i*(i/(i*i**(-9)))/i))**(6/17) assuming i is positive. i**(-2561/1020) Simplify (o**(2/7)*o*o**(-8)*o)**(-1)/(o*o**(-4)*o*(o**(-2/7)/o)/o*o/o**(-1/3)*o*o*o**(-1/5)) assuming o is positive. o**(103/15) Simplify (((p**(3/2)*p)/p**(1/2))/(p**(-3/2)/(p**(-1/4)*p*p)))**(1/16) assuming p is positive. p**(21/64) Simplify (((r/(((r/(r*r**(-1/3)*r*r))/r)/r*r))/r*r)**(25/3)*(r**(-2/29))**(3/14))**(8/3) assuming r is positive. r**(446384/5481) Simplify ((b/(b*b*b*b/b**(3/11)*b))**(2/11)/((b*(b/b**30)/b*b)/(b*b*b*b**2)))**(2/15) assuming b is positive. b**(7822/1815) Simplify ((h*h/(h**(-2)*h)*h)**36)**(-6)*((h*h/(h*h**(-7)*h*h))/h**4)**(-14) assuming h is positive. h**(-892) Simplify ((h**(-18)*h*h*h**(-6/11)*h)/(h/h**(2/5))**(-3/8))**(-4/3) assuming h is positive. h**(2247/110) Simplify (y**(-1/6)/(y**(-2/25)/y))/(y**(4/5)*(y*y**(6/7))/y) assuming y is positive. y**(-781/1050) Simplify ((f*f**3)/f**16*f**3/(f/f**(-11)))**(-18) assuming f is positive. f**378 Simplify ((h**(-1/5)*h*h**(2/13))/(h*h**(2/5))**(6/19))/((h**(-2/3)/h)/(h*h**2))**(-24) assuming h is positive. h**(-137688/1235) Simplify ((k/k**(-1/4))**(-24)*(k*k**2)**(-5/4))**(-18) assuming k is positive. k**(1215/2) Simplify (u**(-2/9)*u**(1/12)*u**(-6)*(u*u/((u*u/(((u*(u**9/u)/u)/u)/u)*u)/u*u))/u)**(-29) assuming u is positive. u**(2233/36) Simplify (l*l*(l/(l/l**(1/2)))/l)/(l*l**32)*(l/(l/l**(16/5)))/l*l/((l**(-28)*l)/l*l*l) assuming l is positive. l**(-23/10) Simplify (((l**(2/13)/l)/(l*l**(-2/7)))/(l**(-1/3)/l*l*l**(-7)))/((l/(l*l**(1/2))*l*l)**(-1/15)*(l**(2/3)/l)**(-3/2)) assuming l is positive. l**(7334/1365) Simplify (k**(2/7)/((k*k*k*k*k*k**(-4/7))/k))/((k**(-5/6)*k)/k*k*k*k*k/k**(-2))*(k*k**(-1))**41*(k**(-1/4))**(3/2) assuming k is positive. k**(-1459/168) Simplify ((y**(-1/15)/y*(y**(1/11)*y*y)/y)/((y*y**(-1/6))/y**(1/6)))**26 assuming y is positive. y**(-2756/165) Simplify ((d**4*d**(2/15))/(d**(2/9)*d**(-1)))/((d/d**(4/3))/d*d*d**(-4/7))**(-9/7) assuming d is positive. d**(8264/2205) Simplify b**(5/8)*((b*b**(-2/43))/b)/b*(b**(-22)/b*b)/b*(b/b**(-1/4))/b*b assuming b is positive. b**(-7627/344) Simplify ((o**(-1))**34)**(2/15)*(o*o**5)/(o/(o*o**(-6)*o))*o**(-2/3)*o**0 assuming o is positive. o**(-21/5) Simplify (((o/(o*(o/o**(1/5)*o)/o))/o*o**(-4))/((o**(-19)/o)/(o/(o**(2/11)*o*o))))**10 assuming o is positive. o**(1432/11) Simplify (h**(-1/8)*h*h*h*h**18*(((h*h*h**26*h)/h*h*h)/h)/h*h**(10/3))**11 assuming h is positive. h**(13783/24) Simplify (r**(-2/5)/r)/(r*r**(2/11))*(r**(-1/4)*r*r)**(-2/33)*(r*r**2*r/((r*r**1)/r)*r)/((r*r**(1/4))/r*r**(-2/11)/r) assuming r is positive. r**(1481/660) Simplify ((w/w**(-2/11)*w)/w**9)**4*((w/w**(-2/5))/(((w/(w**(-4)/w))/w)/w))**28 assuming w is positive. w**(-5504/55) Simplify (c**(-1)/c**(2/3))/(c**(-2/5)*c**(2/5))*(c*c**9*c*c*c)/((c**4*c*c)/c)*(c/c**0)**(7/10) assuming c is positive. c**(211/30) Simplify ((b*b
{ "pile_set_name": "DM Mathematics" }
2*t + 0 = -12, 56 = x*p + t. Is (-13)/(4/p*-1) prime? False Suppose 2*v - 6*v = -4*k - 93436, 2*v = -6*k + 46702. Is v a composite number? False Let c be ((-626)/(-4))/((-7)/(-14)). Let l = 564 - c. Is l prime? True Let i(r) = 1808*r**2 + 34*r + 7. Is i(3) a composite number? False Suppose -15*b + 19*b = 4*j + 5500, -3*b + 4157 = 5*j. Is b a composite number? True Suppose 2*a + 103 = -33. Let f = a + 38. Is (-4)/(-6) - 7150/f a composite number? False Let l(f) = -457*f + 31. Is l(-3) composite? True Let s be 3*(0 + (-654)/9). Let i = 50 - s. Suppose 338 - 137 = 3*c - 2*r, -4*c - 2*r + i = 0. Is c a prime number? True Let w be (0 + -1)/(3/(-12)). Suppose w*p + 330 = -354. Let h = -52 - p. Is h composite? True Let w = 99 + 119. Let o = w + 113. Is o a prime number? True Suppose -4*i + 21 = 4*n - 3, 0 = 3*n - 3. Suppose -c + 5*h + 674 = 0, 0 = i*c + 3*h - h - 3370. Is c/4*(-6 + 8) a prime number? True Let k = 26948 - 14379. Is k a composite number? False Let t(j) = 3*j**3 + 15*j**2 - 11*j. Let d(g) = g**3 + 5*g**2 - 4*g. Let q(p) = 11*d(p) - 4*t(p). Let f be q(-5). Is 497 + f/(-2) + 2 a prime number? True Suppose 6*p - 2274 - 12210 = 0. Suppose -2*v + p + 104 = 0. Is v composite? False Suppose -6458 = -4*w + 5282. Is w a composite number? True Let l be 0/(-4) - 105/3. Is (-5)/l + (-888)/(-7) prime? True Suppose 5*j - 5 + 0 = 0, j - 192 = c. Let p be c/3 + 2/(-6). Let w = p + 101. Is w prime? True Is 15*5/(1 - 16) - -2036 a prime number? False Let m = 1455 + 4415. Suppose -y - i = -3, -y + 19 = 2*y - 2*i. Suppose 2733 = 3*g + 3*d, -d = y*g - m + 1331. Is g a prime number? True Suppose -4 = -2*z + 6. Suppose -z*p + 5*t + 1030 = 0, -2*t = -2*p + t + 407. Is p a composite number? False Let f = -54 - -124. Suppose -3*y + 215 + f = 0. Suppose -q + y = 4*k, -4*q + 3*k + 301 = -41. Is q a composite number? True Suppose -2*l + 3*z - 9 - 11 = 0, -5*z = -2*l - 20. Let t be 14/4 - (-15)/l. Suppose -t*c = -1561 + 251. Is c a composite number? True Let o = 121 + -25. Let s = -53 + o. Is s a prime number? True Let y = 2 - 11. Let u = y + 15. Is 2*9/u*227 composite? True Let z(y) = 2982*y**2 - 8*y + 9. Is z(1) prime? False Let o(m) = 221*m + 110. Is o(7) a prime number? True Let w(q) = -4*q - 9. Let t be w(-8). Let o = -7 + -3. Let g = o + t. Is g a prime number? True Let s(b) = b**3 + 5*b**2 - b. Let j be s(-5). Suppose 323 = 2*u - m, 20 = j*u + 3*m - 782. Is u a composite number? True Let u(k) = -k**3 - 10*k**2 + k + 12. Let b be u(-10). Is 3/b + (-3070)/(-4) a composite number? False Suppose -6*l - 20 - 358 = 0. Let i(b) = 208*b**2 + 1. Let m be i(1). Let j = l + m. Is j a composite number? True Suppose -4*m = -2*q + 2514, -2*q + q + 1254 = m. Suppose 3*c - 1205 - q = 0. Suppose 0 = -3*h - h + c. Is h a composite number? True Let n(u) = u + 3. Let d(c) = -c - 2. Let p(q) = 6*d(q) + 5*n(q). Let f be p(-6). Let h = f + 148. Is h a composite number? False Let g be -1*(-1 - -1 - (-8)/4). Is (-5825)/(-9) + g/9 prime? True Suppose 0 = -4*j + 75 + 21. Suppose 5*y - 2*u + 3 = 0, 3*y + 5*u = -1 + j. Let s(n) = 212*n**2 - 2*n + 1. Is s(y) prime? True Suppose -3*g + s - 265 = -7*g, -3*s = -2*g + 115. Suppose -2*a - 3*a = -g. Is a composite? False Suppose 3*h + 25*h - 187012 = 0. Is h a composite number? False Suppose 3*q - 3*n + 892 = 5*q, -1351 = -3*q + 2*n. Is q a composite number? False Let w(l) = 7*l - 10 + 7*l**2 - 2*l + 5*l. Suppose -14*f + 120 = 22. Is w(f) a composite number? True Suppose 1690 = 5*u - 1870. Let w = 1794 - u. Is w prime? False Suppose t = 2*t - 20. Suppose -3*o - t = -113. Is o a prime number? True Let q be (5 - 9)*1/(-1). Suppose -20 = q*b - 5*s, 3*b = -0*b + 2*s - 8. Suppose b*a = 5*a - 190. Is a a composite number? True Let l(g) = -15*g + 23. Let k be 5 - 4 - 1 - -5. Suppose k*c = -65 - 5. Is l(c) composite? False Suppose 3*s - 4581 = 4416. Is s composite? False Let o be 11/((-55)/2) + 2/5. Suppose -3*t - 2*t - 2*m + 655 = o, -5*t + 4*m = -655. Is t composite? False Suppose -7*l + 4*u + 128 = -3*l, 3*u = -12. Let w be (-4)/l - (-1149)/7. Let b = -67 + w. Is b a composite number? False Let f(g) = g**3 + 7*g**2 + g + 7. Suppose 3*a - 8 = -a. Suppose -2*n - 4*m + 4 = 0, 8 = -a*n + 3*m - 16. Is f(n) a prime number? True Suppose 4425 = 10*w - 15*w. Let t = w + 1279. Is t a composite number? True Let w(h) = 7*h**2 + 53*h - 67. Is w(-28) a prime number? False Let l(c) = -2104*c - 3. Is l(-1) a composite number? True Suppose 3*q + q - 184 = 0. Suppose 2*y + 16 = -q. Is 1*y*5/(-5) composite? False Is ((-4 - -2) + -4829)/(1/(-1)) a composite number?
{ "pile_set_name": "DM Mathematics" }
, x = 2*u + 182. Is u less than or equal to s? False Suppose -672 = -30*f + 1038. Suppose 48*m + 9 = f*m. Which is greater: m or 15/7? 15/7 Let i = 71 - 32. Let u = -26 - -75. Let c = u - i. Which is smaller: c or 12? c Suppose 6*x = 19 + 17. Suppose -x + 6 = -3*f. Which is smaller: f or 1/8? f Suppose -3*j - 21 = 0, 17*j - 14*j + 10 = -11*q. Are q and 8/7485 non-equal? True Let g be (9 - -6) + 35/5. Suppose -5*c + 17 = -4*t, 4*c = 20*t - g*t - 2. Is -42 at most as big as t? True Let x = -0.28601 + 0.06601. Let y = -428 + 404.78. Let o = y - x. Which is smaller: o or -0.1? o Let n = 2233.881 + 0.119. Which is smaller: n or 1? 1 Let q be 51/(7/((-840)/18)). Let g be ((-8)/(-18))/2 - q/9. Which is greater: g or 35? g Let v be 5840/30*12/(-144). Is v less than or equal to -15? True Suppose 0 = -3099*m + 3102*m - 6294. Suppose 0 = 18*a - m + 5122. Is -169 greater than a? False Suppose -13 = 8*g - 45. Let j be 7*-4*g/8. Is j > -14? False Let h = -2961 - -20791/7. Let b be 14/(0 - 8/36). Let s be (-498)/b + 2/21. Which is bigger: h or s? h Let v(j) = -j**3 - 5*j**2 + 5*j - 6. Let r be v(-6). Let a = 31/423 - 208271/2115. Let y = 98 + a. Which is smaller: r or y? y Let j = 0.0679 + -0.0279. Let b = -63 + 147. Let n be (-8)/b*3/2. Is n not equal to j? True Let m = -1.8549 + -2.1451. Which is bigger: 1/814 or m? 1/814 Let l(b) = -112 + 2943*b + 3025*b - 6038*b. Let a be l(-3). Is 101 greater than a? True Let u = -184 - -169. Let q = 14 + u. Let p = -1445/208 - -89/16. Do p and q have the same value? False Let z = 51.14439 - 0.14439. Which is smaller: -2/11 or z? -2/11 Let h be (17/((-136)/(-16)))/((-6)/(-3)) - 317. Which is smaller: h or -318? -318 Let b = -254 - -94. Let j = -162 - b. Are 0 and j unequal? True Let w be 257 + -6 - 3 - -7. Let k = -118 + w. Which is smaller: k or 135? 135 Suppose 4*p = -3*n, -22*n + 3*p = -18*n. Let f be (-28)/(-14)*3/(-34). Let r = f - 8/51. Which is smaller: r or n? r Let i = 278.4 - 268.4. Is i > -85? True Let h be -12*(13 - 5247/402). Is h smaller than 2? True Suppose -45*t = -42*t + 219. Let r = t - -75. Suppose 0 = r*g - 2 + 4. Which is smaller: g or 3/38? g Let w = 4285 - 2776681/648. Which is smaller: -0.3 or w? -0.3 Let r(z) = z**3 + 29*z**2 + 59*z + 5. Let q be r(-27). Let x = q - -127. Suppose -y + 4*y = -6. Is x less than y? True Let j be 2/16 - 918/(-1360) - (-394016)/(-492870). Do 0 and j have the same value? False Let r(y) = -y**2 - 3*y + 5. Let b(i) = i**3 - 5*i**2 - 6*i - 4. Let o be b(6). Let u be r(o). Suppose 0 = -n + u + 4. Is n bigger than -0.05? True Let j = -125.3 + 131. Let r = 6 - j. Let b = 162.81 + -162.8. Which is smaller: b or r? b Let b = 0.2676 - 0.6876. Is b at least as big as 30? False Let y be (-9 - -12)/(((-15)/(-1246))/(-5)). Let p = y - -3688/3. Let k = p + 17. Is -9/4 <= k? True Let g = -1/5699 + -233532/723773. Is g at most as big as -1? False Suppose -2*x - 2*d - 465 = -427, -x - 11 = -3*d. Let i(v) = 2*v. Let j be i(-3). Which is smaller: x or j? x Suppose -n - 44*j + 25 = -49*j, 2*n - 3*j - 15 = 0. Is n greater than or equal to -2/8977? True Suppose -3*c + 165 = -2*h - 122, -457 = -5*c - 2*h. Let r = -375 + 284. Let w = c + r. Is 2 > w? False Let v = 2 + -1. Let n be 3 + 6/(4 + -10) - 62812. Let p be 12 - (n/(-475))/11. Is v > p? True Suppose -12 = -4*k - 4*d, -7*d = 4*k - 9*d - 24. Let x(g) = 15*g - 75. Let m be x(k). Is m smaller than 2/37? True Let z(j) = 49*j + 526. Let n be z(-11). Let m be (0 + -1)*(12 - 1). Is n >= m? False Let q(d) = 2*d**2 + 9*d + 5. Let o be q(-4). Suppose -3*v + 2 = -o. Let m be v/3 - 56/42. Is -1/94 < m? False Let w be 2/(6/1)*-3. Let p = -336 + 331.1. Let n = p - -27.9. Is n greater than or equal to w? True Let a = -154 + 152.6. Let t = 0.0293 - 7.0293. Which is smaller: a or t? t Let b = 2614.001 + -2612. Let v = b + -2. Let h = -666147 - -666146. Is v bigger than h? True Let t be 3/(-2)*(-6)/1. Suppose 4*o + 5702 = -5*q + 2*q, 6 = 3*q. Let n = o - -1422. Are n and t nonequal? True Let r = -4691 + 614526/131. Which is greater: -2 or r? r Let j be 5/((-2)/11 - (-624)/2464). Let v be (15/(-6))/(-1) + (-217)/j. Which is greater: 93 or v? 93 Let i be ((-1)/2)/(9/648*-1). Suppose 7*s + i = 13*s. Which is bigger: s or 5? s Suppose 4*v - 22 = 3*b, 5*b = 5*v - 2*v - 22. Suppose v*a = 34 - 18. Suppose -4*o + 4 = -l, 0*l + 5*l + a*o = 4. Does l = 4/35? False Let d = 222 + -296. Let z be (-25)/(50/(-12)) + (-87)/15. Which is smaller: z or d? d Let a = 22.34 + -20.2. Let g = 2.259 - a. Let q = 0.079 - g. Is -1 > q? False Let h = 3.
{ "pile_set_name": "DM Mathematics" }
*x + 6*r - 16 = 2*r. Let z be (0 + 1 + -2)*x. Solve o + 2*b - 2 = w, z = 5*b - 15 for o. -3 Let d(m) = -m**3 - m**2 - 5. Let r be d(-3). Solve 5*v = 2*s + 21, 5*s + 14 = 4*v - r for v. 3 Suppose -3*q = 5*m - 34, 4*q - 5*m = q + 14. Solve -3*i + 0*i - t = 2, -2*i + q = -4*t for i. 0 Let k(i) be the first derivative of i**4/4 - i**3 - i**2 - 4*i - 2. Let v be k(4). Suppose v*u = 6*u. Solve -3*c + 2*c = 3*b - 16, u = -3*b + 12 for c. 4 Suppose 3*v - 3 = 3. Solve -v*s - 9 = -q, -5*q - 7 = -3*q + s for q. -1 Suppose x - 25 = -4*x. Suppose 0*k + 20 = x*k. Solve -f + 15 = -3*o + 8*o, -k*f = o - 22 for f. 5 Let g be (6/(-9))/(4/(-18)). Solve 5*v - 15 = -5*f, -g*f = f + 3*v - 7 for f. -2 Let r be 17 - 0/(12/(-3)). Let f = 17 - -7. Solve -2*p - h - 7 + r = 0, f = 4*p + 4*h for p. 4 Let f(w) = -3*w**3 - w**2 - 2*w - 3. Let c be f(-2). Suppose 5*v + 1 - c = 0. Suppose v*g = g + 12. Solve 3*t = 5 + 10, -t = g*u - 17 for u. 3 Let a = -18 - -34. Solve 0 = -5*f + 2*i - 4 + 12, f - a = 4*i for f. 0 Let f(g) = g**2 + 10*g - 11. Let w be f(-11). Suppose v + v - 24 = -2*q, -4*q + 3*v + 76 = w. Solve -1 = p, -o - 4*p + q = 3*o for o. 5 Let l be (-3)/7 - 202/(-14). Solve 3*p + a - 5*a + l = 0, p - 4 = -3*a for p. -2 Let z(n) = -n**3 + 7*n**2 + 13*n - 38. Let f be z(8). Let h(x) = -x**3 - 2*x**2 - x - 4. Let t be h(-3). Solve f*p = -4*y, -3*y + t = -3*p - y for p. -2 Suppose 2*h = 3*k + 102, -4*h + 7*h + k = 153. Suppose -4*s = -h - 49. Let a be 6 + -3 + 0 + 0. Solve 0 = a*o - 3*b - 21, 5*o = o + 3*b + s for o. 4 Let t(i) = -i - 2. Let s be t(-2). Let u be (16/10)/(2/10). Suppose s = 3*f - 1 - u. Solve 3*p - 17 = 2*l, -f*p - 15 = 5*l - 4 for l. -4 Let v = -2 - -2. Suppose -s - 5*w = 4*s + 10, 3*s - 3*w - 6 = v. Suppose j = -s*j + 5. Solve -2*m = m - 2*f + 9, 4*m = -3*f + j for m. -1 Let l be 40/30 - (-4)/6. Let q be (12 + 0)*l/4. Solve q = -2*f, 0*n - 2*f = -2*n for n. -3 Let c be 2/8 - (-105)/12. Let g be (-42)/54 + (-2)/c. Let f = 3 + g. Solve -5*b + 23 = 2*x, 2*b + 10 = -f*x + 6*x for b. 3 Suppose k = 2*k - 26. Suppose 4*f - k = 2*f. Solve 3*l - 3*t - 11 = f, -5*t = 2*l + 12 for l. 4 Let p be -1*(-14 + -1) - -4. Solve -5*v = -b - 2*b + p, 3*b - 4*v = 14 for b. -2 Let c(u) = -u + 1. Let k be c(-2). Solve -w + 3*f + 5 = -k*w, 2*f = -3*w - 10 for w. -4 Suppose -11*r = -8*r - 9. Solve -5*o - 2*w + 7 = 0, 4*w + 4 = -r*o - 3 for o. 3 Let w = -2 + 5. Suppose 21 = 5*h + 4*t - 2*t, 0 = 2*h + 5*t. Suppose 11 = h*z + 1. Solve 3*g - z*x = -2*g - 6, -3*g + x = w for g. 0 Let c = -42 + 44. Let a(d) = -3*d**2 + d + 1. Let w be a(-1). Let t = w + 5. Solve c*v - 5*v + 17 = 2*m, -t*v - 2 = -2*m for m. 4 Suppose 0 = 5*w - 0*r + 4*r, -4*w - 4*r = 0. Solve 5*f + 0*f - 7 = -m, -4*m + 4*f + 4 = w for m. 2 Let y = 22 - 13. Let u = 13 - y. Suppose 5*p + 5*d - 45 = 0, 7 = 3*p + 4*d - 5*d. Solve 0 = -u*q - 20, t + q + 25 = -p*q for t. 0 Let a(l) = -l**3 + 3*l**2 + l + 4. Let h be a(0). Solve -o + 4*z + 18 = -z, -h*z = 4*o for o. 3 Let w = 11 + -13. Let r be -8*(21/12 + w). Solve -3*c - 4*t = 25, r*t - 4 = 2*c - 6 for c. -3 Let o be (16/(-6))/((-4)/6). Suppose l = -0 + o. Solve 0 = l*v - a + 14, 5*v + 30 = -4*a - a for v. -4 Let p be 6/(-4) + 18/4. Suppose -2*a - 2*i + 12 = 0, i + p*i = 4. Solve 15 = a*z, 2*z = 3*l - z + 21 for l. -4 Suppose -3*f + 9 + 0 = 0. Suppose -u = -f - 1. Solve -2*d + 10 = 2*q, -q - 4*d = u*q - 23 for q. 3 Suppose 15*a - 5*a = 40. Solve -2*q + 11 = -5*u, 3 = -5*u + a*q - 4 for u. -3 Suppose 35 = p + 29. Solve -o - p = 2*o, 3*o + 7 = -d for d. -1 Suppose -2*x = 3*s - x + 1, -s - 5*x = -9. Let l be (-2)/6*12/s. Solve 0 = -2*j + 2*w - 2, 2*j + 9*w = l*w - 16 for j. -3 Suppose 4*f = 2*f + 36. Let g = f + -15. Solve -g*h + 3*a = 5*a - 16, 5*h - 3*a = 14 for h. 4 Suppose 0 = f + f - 4, -4*y + 100 = 4*f. Solve j - 5*v + 1 = -25, -2*j - 5*v = -y for j. -1 Suppose 0 = -15*p + 19*p - 8
{ "pile_set_name": "DM Mathematics" }
ivided by 452? 165 What is the remainder when 4437 is divided by 15? 12 What is the remainder when 2551 is divided by 77? 10 What is the remainder when 87 is divided by 7? 3 What is the remainder when 42 is divided by 36? 6 Calculate the remainder when 1510 is divided by 108. 106 What is the remainder when 182 is divided by 42? 14 What is the remainder when 141 is divided by 12? 9 Calculate the remainder when 921 is divided by 28. 25 What is the remainder when 34 is divided by 29? 5 What is the remainder when 528 is divided by 59? 56 What is the remainder when 2909 is divided by 25? 9 What is the remainder when 40 is divided by 11? 7 Calculate the remainder when 1502 is divided by 21. 11 What is the remainder when 207 is divided by 16? 15 What is the remainder when 445 is divided by 34? 3 Calculate the remainder when 951 is divided by 246. 213 What is the remainder when 8538 is divided by 21? 12 Calculate the remainder when 2052 is divided by 71. 64 Calculate the remainder when 446 is divided by 16. 14 What is the remainder when 151 is divided by 30? 1 What is the remainder when 521 is divided by 263? 258 What is the remainder when 944 is divided by 27? 26 Calculate the remainder when 157 is divided by 48. 13 What is the remainder when 42 is divided by 22? 20 What is the remainder when 38 is divided by 27? 11 Calculate the remainder when 5637 is divided by 9. 3 Calculate the remainder when 347 is divided by 59. 52 Calculate the remainder when 1911 is divided by 631. 18 Calculate the remainder when 423 is divided by 59. 10 What is the remainder when 182 is divided by 182? 0 Calculate the remainder when 88 is divided by 58. 30 What is the remainder when 34 is divided by 21? 13 Calculate the remainder when 20 is divided by 3. 2 What is the remainder when 157 is divided by 118? 39 Calculate the remainder when 150 is divided by 116. 34 Calculate the remainder when 90 is divided by 56. 34 Calculate the remainder when 315 is divided by 64. 59 What is the remainder when 890 is divided by 33? 32 What is the remainder when 195 is divided by 88? 19 Calculate the remainder when 773 is divided by 97. 94 Calculate the remainder when 3637 is divided by 158. 3 Calculate the remainder when 119 is divided by 15. 14 What is the remainder when 769 is divided by 110? 109 Calculate the remainder when 406 is divided by 34. 32 Calculate the remainder when 28 is divided by 7. 0 What is the remainder when 536 is divided by 36? 32 What is the remainder when 27 is divided by 27? 0 Calculate the remainder when 167 is divided by 45. 32 What is the remainder when 2606 is divided by 1298? 10 Calculate the remainder when 631 is divided by 40. 31 Calculate the remainder when 1260 is divided by 253. 248 Calculate the remainder when 885 is divided by 24. 21 Calculate the remainder when 40 is divided by 29. 11 Calculate the remainder when 283 is divided by 96. 91 Calculate the remainder when 599 is divided by 211. 177 What is the remainder when 1357 is divided by 357? 286 What is the remainder when 40 is divided by 16? 8 What is the remainder when 186 is divided by 32? 26 What is the remainder when 1858 is divided by 31? 29 Calculate the remainder when 90 is divided by 42. 6 Calculate the remainder when 15 is divided by 4. 3 What is the remainder when 131 is divided by 70? 61 Calculate the remainder when 464 is divided by 52. 48 Calculate the remainder when 261 is divided by 84. 9 Calculate the remainder when 309 is divided by 13. 10 Calculate the remainder when 79 is divided by 17. 11 What is the remainder when 2066 is divided by 115? 111 Calculate the remainder when 9670 is divided by 78. 76 Calculate the remainder when 53 is divided by 8. 5 Calculate the remainder when 79 is divided by 20. 19 What is the remainder when 629 is divided by 9? 8 Calculate the remainder when 1691 is divided by 23. 12 Calculate the remainder when 44 is divided by 18. 8 Calculate the remainder when 3928 is divided by 9. 4 What is the remainder when 489 is divided by 12? 9 Calculate the remainder when 5912 is divided by 91. 88 Calculate the remainder when 317 is divided by 161. 156 Calculate the remainder when 156 is divided by 15. 6 What is the remainder when 437 is divided by 144? 5 Calculate the remainder when 1299 is divided by 8. 3 Calculate the remainder when 1112 is divided by 112. 104 What is the remainder when 29 is divided by 12? 5 Calculate the remainder when 33849 is divided by 403. 400 Calculate the remainder when 43 is divided by 5. 3 What is the remainder when 3030 is divided by 41? 37 What is the remainder when 170 is divided by 101? 69 Calculate the remainder when 458 is divided by 454. 4 What is the remainder when 26710 is divided by 14? 12 Calculate the remainder when 32 is divided by 10. 2 Calculate the remainder when 1916 is divided by 15. 11 What is the remainder when 3349 is divided by 50? 49 Calculate the remainder when 317 is divided by 16. 13 What is the remainder when 80 is divided by 15? 5 Calculate the remainder when 983 is divided by 52. 47 What is the remainder when 7069 is divided by 17? 14 Calculate the remainder when 470 is divided by 128. 86 What is the remainder when 18831 is divided by 17? 12 What is the remainder when 708 is divided by 10? 8 Calculate the remainder when 557 is divided by 31. 30 What is the remainder when 63115 is divided by 124? 123 What is the remainder when 33 is divided by 17? 16 Calculate the remainder when 322 is divided by 17. 16 What is the remainder when 139 is divided by 25? 14 What is the remainder when 4170 is divided by 76? 66 What is the remainder when 1262 is divided by 416? 14 What is the remainder when 189 is divided by 153? 36 Calculate the remainder when 171 is divided by 6. 3 What is the remainder when 4755 is divided by 183? 180 What is the remainder when 96 is divided by 20? 16 Calculate the remainder when 4321 is divided by 23. 20 Calculate the remainder when 334 is divided by 17. 11 Calculate the remainder when 267 is divided by 69. 60 What is the remainder when 195 is divided by 94? 7 What is the remainder when 255 is divided by 66? 57 Calculate the remainder when 825 is divided by 20. 5 What is the remainder when 161 is divided by 86? 75 Calculate the remainder when 46 is divided by 29. 17 What is the remainder when 6759 is divided by 26? 25 Calculate the remainder when 78 is divided by 20. 18 What is the remainder when 159 is divided by 70? 19 What is the remainder when 277 is divided by 32? 21 What is the remainder when 8098 is divided by 162? 160 Calculate the remainder when 133 is divided by 12. 1 What is the remainder when 80 is divided by 46? 34 What is the remainder when 994 is divided by 363? 268 What is the remainder when 159 is divided by 18? 15 Calculate the remainder when 201 is divided by 69. 63 What is the remainder when 437 is divided by 48? 5 What is the remainder when 59 is divided by 9? 5 Calculate the remainder when 1075 is divided by 11. 8 Calculate the remainder when 146 is divided by 30. 26 Calculate the remainder when 131 is divided by 36. 23 What is the remainder when 402 is divided by 31? 30 Calculate the remainder when 220 is divided by 13. 12 Calculate the remainder when 75161 is divided by 23. 20 What is the remainder when 2317 is divided by 58? 55 What is the remainder when 76 is divided by 17? 8 What is the remainder when 24 is divided by 7? 3 What is the remainder when 63 is divided by 15? 3 Calculate the remainder when 368 is divided by 30. 8 What is the remainder when 2729 is divided by 10? 9 Calculate the remainder when 3935 is divided by 8. 7 What is the remainder when 2948 is divided by 57? 41 What is the remainder when 1656 is divided by 83? 79 Calculate the remainder when 582 is divided by 65. 62 Calculate the remainder when 2615 is divided by 187. 184 Calculate the remainder when 4733 is divided by 8.
{ "pile_set_name": "DM Mathematics" }
8). 6 Let h = 15 + -14. Suppose -d = -h + 2. Calculate the remainder when 13 is divided by 5 + d/(-2)*-4. 1 Suppose 4*p = -5*f + 65, 4*f + 2*p - 21 = 37. Suppose 4*m - 162 + 178 = 0. Let c(h) = 4*h**2 - 2*h - 8. What is the remainder when c(m) is divided by f? 13 Suppose -5*d = 6 - 26. Suppose -d*z - 25 = -5*n - z, 0 = -2*n - 4*z - 16. Calculate the remainder when (-4)/(16/(-106))*n is divided by 14. 11 Suppose -3*k - 4*r + 221 = 2*k, -4*k + 144 = -5*r. Calculate the remainder when 200 is divided by k. 36 Let h(j) = 6*j - 172. Calculate the remainder when h(39) is divided by 3. 2 Suppose 180 = -192*d + 207*d. What is the remainder when 71 is divided by d? 11 Suppose -3*y + 42 = -3*f, 3*y + 5*f = -y + 38. Suppose 2*j = b - 22, 0*j + 3*j = -3. Let q = 55 - b. What is the remainder when q is divided by y? 11 Let s = 1 - -1. Suppose 2*r = -22 - 14. Let i = -14 - r. What is the remainder when i is divided by s? 0 Let r = -5 - -29. Suppose -5*j + r = -8*j. What is the remainder when 6 is divided by 9/6*j/(-6)? 0 Let q = 35 - 9. Suppose -4*u + 210 = 18. What is the remainder when u is divided by q? 22 Suppose -23 = -3*o + h, -o - h + 5 = -8. What is the remainder when 4*4/48 - (-616)/24 is divided by o? 8 Suppose 0 = -3*c - 12, -658 = -2*d - d - 5*c. Calculate the remainder when d is divided by 52. 18 Let c(b) = 406*b - 1036. Let q(n) = -11*n + 28. Let g(z) = 3*c(z) + 112*q(z). What is the remainder when 111 is divided by g(0)? 27 Suppose 2*k + 59 = 3*t, -t - k = -6*k - 11. Calculate the remainder when -3*((-56)/3 - 1) is divided by t. 17 Let d(f) = 74*f + 857. What is the remainder when d(0) is divided by 41? 37 Suppose 0 = -3*k + 9, 4*m - 7 - 87 = -2*k. Calculate the remainder when (-2)/(-17) - 6618/(-102) is divided by m. 21 Suppose -3*l + 40 = -11. Let i = 28 + l. Suppose -3*s - 2*b + i = 0, b - 2*b = 3*s - 42. What is the remainder when 51 is divided by s? 12 Let j be (1 - -1)/((-10)/(-15)). Suppose -j*h = h + 4*c - 64, -5*h + 100 = -5*c. What is the remainder when 69 is divided by h? 15 Let p be (-1 - -6)/((-1)/8). Calculate the remainder when 2 + (-3)/(6/p) is divided by (182/65)/7*15. 4 Suppose -3*d + 418 = -2*g, 3*d - 2*g - 410 = 2*g. Calculate the remainder when d is divided by 37. 31 Let t be 3/9 + (-23)/(-3). Suppose -2*m + 10 + t = 0. Suppose -82*s - 61*s + 447 + 3986 = 0. What is the remainder when s is divided by m? 4 Let g = -64 - -107. Let j = g + 0. Calculate the remainder when j is divided by 9. 7 Suppose -4*a - 41 = 19. Let y(d) = -d - 9. What is the remainder when 22 is divided by y(a)? 4 Suppose 1523*j + 39 = 1524*j. Let y = -6 - -10. Calculate the remainder when j is divided by y. 3 Suppose 3*o + 40 = -140. Let q = 87 + o. Suppose -4*y = 7 - 23, 2*f + y = 18. Calculate the remainder when q is divided by f. 6 Suppose 5*h - 117 - 38 = 3*j, 0 = -5*h - 4*j + 120. Let i(r) = -2*r**2 + 13*r**2 + 1 - 2*r + 0 + 0. What is the remainder when h is divided by i(1)? 8 Suppose 4*d - 27 = 4*i + 9, 41 = 3*d + 4*i. Let k(y) = 20*y - 529. What is the remainder when k(28) is divided by d? 9 Suppose 0 = -13*x + 940 + 1140. Calculate the remainder when x is divided by 41. 37 Let y(q) = q + 11. Let x be y(-7). Let o be 1*(3 - x)*-41. Suppose -3*n - o = -8*n + k, -42 = -5*n + 2*k. What is the remainder when n is divided by 5? 3 Suppose -5*c = -20, 4*c - 16 = 4*p - 72. Suppose -4*u = p - 74. Calculate the remainder when ((-8)/(-5) + -2)/((-37)/2405) is divided by u. 12 Let g(b) = -b + 14. Suppose 0 = 3*k - 8*k + j + 56, -3*k + 5*j = -38. Calculate the remainder when g(k) is divided by 1. 0 Let h = 295 + -136. What is the remainder when h is divided by 42? 33 Let u = -13 - -32. Let n = u + -11. Calculate the remainder when 21 is divided by n. 5 Suppose -26 = 4*g + l - 3*l, -4*g + 3*l - 21 = 0. Let r(f) = 19*f**3 + f**2 - 4*f + 2. Let x be r(2). Calculate the remainder when 59 is divided by 6/(-5)*x/g. 19 Suppose 42*x = 37*x + 250. Let s = -45 + x. Let m = 64 - 45. Calculate the remainder when m is divided by s. 4 Suppose 14*y + 8*y - 988 = -4*y. What is the remainder when y is divided by 14*(-2)/(-8)*2? 3 Let t(k) = -2*k**3 - 23*k**2 - 14*k - 12. Let a(n) = -2*n**2 + 5*n - 13. Let o be a(2). What is the remainder when 39 is divided by t(o)? 18 Let h(g) = -17*g - 15. Let a = 31 - 41. Let o be h(a). Let r = o - 110. What is the remainder when r is divided by 12? 9 Suppose 3 + 1 = l. Suppose 14 = -6*v - 46. What is the remainder when -1 - -4 - 2 - v is divided by l? 3 Let i(y) = -55*y - 260. What is the remainder when i(-7) is divided by 26? 21 Suppose 0 = 94*q + 9*q - 9167. What is the remainder when 436 is divided by q? 80 Suppose -4*b = -8*b + 44. Calculate the remainder when 12 is divided by b. 1 Let f be -67 - -5 - (-2 + 1). Let r = -43 - f. Suppose -r - 10 = -4*m. Calculate the remainder when m is divided by 5. 2 Let u = 199 + -185. What is the remainder when 23 is divided by u? 9 Let r = -15 + 15. Suppose 4 = m, r = -4*z + m + 11 + 29. Let p(h) = h**2 - 9*h + 1. Calculate the remainder when 91 is divided by p(z). 22 Let y = 569 + -302. What is the remainder when y is divided by 16? 11 Let w(c) = -c**3 - 8*c**2 + 11*c + 151. Calculate the remainder when
{ "pile_set_name": "DM Mathematics" }
ine z(-9). 12 Let q(v) be the second derivative of -2*v**3/3 + 19*v**2/2 - 156*v + 1. What is q(5)? -1 Let q(n) be the second derivative of -n**4/12 + n**2 + 165*n. What is q(5)? -23 Let l(s) be the first derivative of s**2/2 + s + 3. Suppose -12 + 23 = -2*u + r, 5*u + 3*r = -33. Determine l(u). -5 Let h(w) = -3*w**2 - 29*w - 15. Let y be h(-10). Let z = y - -23. Let s(f) = f. Give s(z). -2 Let t(l) be the second derivative of -1/6*l**4 - 13*l + 1/20*l**5 + 0 - 1/2*l**3 + 2*l**2. Determine t(3). 4 Let m be -3*(2 - 2/6). Let g(s) = -s**2 + 5*s + 14. Let t(v) = v + 2. Let o(u) = g(u) - 4*t(u). What is o(m)? -24 Let p(m) = -m**3 + 5*m**2 + 3. Suppose -17*f + 75 = -10. Calculate p(f). 3 Let n(j) = 6*j + 4*j**2 + 2*j**3 - 3*j**3 - 1 + 0*j. Let i be (-8)/(-36) + (-466)/(-9). Let m = i + -47. Give n(m). 4 Let f(k) be the second derivative of k**5/20 - k**4/2 - k**3/6 - 5*k - 52. Calculate f(6). -6 Let j = 5 - 1. Let b(n) = 4*n - 5*n**2 - 193 + 100 + n**3 + 98. Give b(j). 5 Let o(n) = -12*n + 9. Let m(g) = 4 - 5 - 4*g + 6*g - g. Let r(h) = -9*m(h) - o(h). Let p be 3/(6/(-4)) + 3. Calculate r(p). 3 Let q(x) = -x - 3. Let t = -31 - -36. Let n(v) = -v**3 + 5*v**2 - 3*v + 12. Let y be n(t). What is q(y)? 0 Let a(t) = t**3 + 10*t**2 + 17*t + 11. Suppose -6*y + 3*y = 24. Let s be a(y). Let c(f) = -9*f**3 + s*f**3 + 3*f - 3*f**2 + 5*f**3. Give c(-4). 4 Let p(d) be the first derivative of -d**3/3 + 3*d**2 + d + 1. Let m be (14/6)/((-102)/18 + 6). Calculate p(m). -6 Let n be (1 - 1)*((-228)/18 + 13). Let i(y) be the second derivative of n - 5/6*y**3 + 11*y + 1/12*y**4 + 3/2*y**2. Determine i(5). 3 Let p(s) be the second derivative of -s**6/360 + 3*s**5/40 - s**4/4 + 7*s**3/6 - 10*s. Let i(o) be the second derivative of p(o). Give i(4). 14 Let g(r) be the third derivative of -r**4/4 + r**3/6 + 43*r**2. Give g(1). -5 Let u(z) = 2*z + 1. Let q(n) = n**2 - 14*n. Let p be q(15). Suppose -5*h + 8*t = 3*t - p, -4*t - 13 = -5*h. Determine u(h). 3 Let q(m) = -m**2 - m - 13. Suppose 5*y + 3*k - 12 = 0, 2*y - 4 = -3*k - 1. Suppose -4*h - y*h = 0. Determine q(h). -13 Let d(u) be the first derivative of 5/3*u**3 + u - 1/4*u**4 - 7 + 7/2*u**2. Let b be ((-24)/(-30))/((-6)/(-45)). Determine d(b). 7 Let j(l) = -l**3 + 3*l**2 + 1. Let n(s) = -20*s**3 - 4*s**2 - 2*s - 5. Let v(x) = 2*j(x) + n(x). Give v(-1). 23 Let o(f) = 1 + 3*f**3 - 26*f**2 + f + 13*f**2 + 15*f**2. Give o(-2). -17 Suppose 0 = 2*o + i + 2, -5*o - 5*i = -i - 1. Let b(s) = 2*s - 4. Let z be b(o). Let j = 16 + z. Let n(w) = -w**2 + 8*w - 5. Determine n(j). 7 Let r(n) = -n**2 - 3*n + 7. Suppose 6*a - 2*h = 2*a - 16, -5*a - 11 = 2*h. Give r(a). 7 Let n(a) be the second derivative of -a**4/12 - 3*a**3/2 + 3*a**2 + 101*a. Give n(-11). -16 Let n(v) = 168*v + 168*v - 338*v + 1 + 2. What is n(3)? -3 Let r(p) = -1 - 2 + p**3 + 6*p**2 - 1. Let c = -283 - -277. Give r(c). -4 Let m(x) = x**2 - 14*x - 28. Let v be m(16). Let l(y) = -y**3 + 4*y**2 + 3*y + 2. What is l(v)? 14 Let y be 2/9 - 14/(-18). Let j = y - -5. Let n(c) = j*c + 4 + 2*c + c**2 - 3 + 1. Calculate n(-6). -10 Let z be (-9)/6*2*-1. Let l(f) = -f + z - 6 - f. Let n = -9 - -6. Give l(n). 3 Suppose -31 = 8*j - 103. Let w(t) = -t**3 + 8*t**2 + 8*t - 6. Give w(j). -15 Let c(i) = i**2 + 3*i. Let h = 17 - 21. Determine c(h). 4 Let h(x) = 2*x**2 - x**3 + 39*x + 4 + 0*x**2 - 38*x. Calculate h(3). -2 Let k(u) be the first derivative of u**4/4 + 7*u**3/3 - 3*u**2 - 10*u + 55. Calculate k(-8). -26 Suppose 3*g - 3 = q - 1, -14 = -5*g - q. Let k(a) = 2*a**3 - 8*a + 3*a - a**3 + 4*a**2 + g - a. Give k(-5). 7 Let r(n) = n**3 - 13*n**2 + 12*n + 2. Suppose 3 = -2*b + 27. Calculate r(b). 2 Let i(b) = -3*b + 48 - 55 - 18*b + 4. Calculate i(-1). 18 Let h(i) = -2*i + 4. Suppose -38 = -17*k - 4. What is h(k)? 0 Let n be (-2223)/342 + (-1)/2. Let m(b) = b + 8. Calculate m(n). 1 Let m be (-2)/4*(-4 + 2). Let a(n) be the third derivative of n**4/6 - n**3/6 - 93*n**2 - 2. What is a(m)? 3 Let x(u) be the third derivative of u**4/12 - 162*u**
{ "pile_set_name": "DM Mathematics" }
* -1. 143 0.109 * 1 0.109 Product of 0.4 and 0.71. 0.284 What is 0.0411 times -0.5? -0.02055 -456 times -0.4 182.4 -0.4 times 190 -76 What is the product of -406.4 and -0.05? 20.32 What is the product of -0.44 and 0.3? -0.132 What is -124 times 4? -496 Calculate 100*3. 300 Work out 0.1 * 3792. 379.2 -1151*-0.05 57.55 Work out -431 * -0.3. 129.3 -4*-3426 13704 Work out -5338 * -0.5. 2669 0.4 times -20 -8 Calculate 0.06*34.9. 2.094 Work out -0.4 * 1047. -418.8 Product of -25 and 5. -125 What is 0.01 times -34? -0.34 Work out 1.39 * 0.11. 0.1529 What is the product of -97 and -0.01? 0.97 0.5 times 1482 741 Work out 0.023 * 3. 0.069 Multiply -1182 and 0.1. -118.2 Calculate 0.05*60. 3 Multiply 0.0644 and -2. -0.1288 Multiply 2 and 7331. 14662 -25 times -34 850 -12101 * 2 -24202 Work out -7 * -4.84. 33.88 3 times -0.02 -0.06 -2 times 76.4 -152.8 0*-95.77 0 Multiply -5 and 0.4. -2 0*-5.619 0 Calculate -0.2*44.7. -8.94 Product of -6371 and -2. 12742 What is the product of -1.3 and 202? -262.6 Product of 6853 and 0.1. 685.3 -0.029 * -0.1 0.0029 Product of -0.7 and 5. -3.5 Product of 0.068 and 0.5. 0.034 What is 0 times -766? 0 Multiply 0.6 and -0.562. -0.3372 1.82 times 40 72.8 Product of 5042.6 and 0.2. 1008.52 0.1*340 34 Product of 0.4 and 46. 18.4 Multiply -0.3 and -632. 189.6 551*-0.4 -220.4 2 * -95 -190 -211*3.4 -717.4 26 * 1.6 41.6 Calculate -1961*-0.2. 392.2 Calculate -218*0.3. -65.4 Product of -0.02617 and 0.4. -0.010468 Multiply -2250 and 2. -4500 Multiply -0.2 and 69. -13.8 5 * -1 -5 Calculate -0.4*0.76. -0.304 -27.7*10 -277 -27.081*0.2 -5.4162 -205 * 0.1 -20.5 What is the product of -15 and 7.1? -106.5 Product of -2 and -11.6. 23.2 What is 0.1 times -637? -63.7 Multiply 0.5 and 0.0756. 0.0378 What is the product of -0.15 and 0.018? -0.0027 What is the product of -0.3 and -176.4? 52.92 Multiply 0.6 and -5144. -3086.4 -342*0.5 -171 What is 0.38303 times -1? -0.38303 -6.9*-5 34.5 Work out -536 * 0.2. -107.2 What is the product of 0.1 and -0.01? -0.001 Product of 4.4 and 0.07. 0.308 477*-0.5 -238.5 Work out 2 * 265. 530 235 * 2 470 What is 4 times -7? -28 1 * -40.8 -40.8 What is the product of -2226 and -0.3? 667.8 Work out 48 * 16. 768 -12 times -0.18 2.16 Multiply -666 and -5. 3330 Work out 0.039 * -0.01. -0.00039 Work out 12 * 2. 24 0.2 * 445 89 Work out 189.7 * 0. 0 Work out 16 * 13.6. 217.6 What is the product of 0.1 and -701? -70.1 Work out 0.156 * 1. 0.156 Multiply -17184 and 0.2. -3436.8 Multiply 52 and -10. -520 Work out -0.4 * -9.1. 3.64 Product of 1 and 20.9. 20.9 -4404 times -0.3 1321.2 What is 2 times 394? 788 What is the product of -128 and -3? 384 What is 0.3 times 20.6? 6.18 What is 211.7 times 0.1? 21.17 Product of -0.36 and -17. 6.12 Product of 0.0861 and 5. 0.4305 -5.03 times -4.2 21.126 What is the product of -22.41 and -0.3? 6.723 Multiply -1.337 and 0.4. -0.5348 2*0.64 1.28 Calculate 0.079*-0.7. -0.0553 Multiply 111 and 1. 111 -0.4 times 375 -150 -12 times -5.6 67.2 Product of 1.029 and -0.03. -0.03087 Calculate -762*0.07. -53.34 What is the product of -1057 and -0.3? 317.1 0.12*-0.212 -0.02544 Product of 25.4 and -0.01. -0.254 Product of -1171 and 0.4. -468.4 Calculate -1072*0.1. -107.2 Work out -0.5 * -0.2371. 0.11855 Product of -27.69 and 4. -110.76 What is the product of -2 and -0.04593? 0.09186 Calculate 0.07*-2.18. -0.1526 Calculate 4.71*-0.4. -1.884 Work out 2 * -33. -66 What is 0.4 times -1329? -531.6 What is 0.18 times 91? 16.38 0.3 times 0.7629 0.22887 What is the product of -0.269 and -3? 0.807 0.2*0.01 0.002 1.1 times -2.3 -2.53 0.003*0.2 0.0006 Work out -3 * 63. -189 Work out 23 * -0.4. -9.2 Work out -3 * 0.77. -2.31 What is -119 times 1.4? -166.6 Calculate 1*2620. 2620 -0.5 * -308 154 Product of -15 and 6. -90 Calculate 23.318*-1. -23.318 Calculate 0.227*-11. -2.497 Work out 0.012 * 0.02. 0.00024 Product of 8574 and 0.1. 857.4 Multiply 1335.2 and 1. 1335.2 Work out 108 * 0.4. 43.2 What is -0.0222 times -0.5? 0.0111 What is the product of 515 and 4? 2060 What is the product of -15 and -397? 5955 -58397 times -0.4 23358.8 Product of 5 and 0.2754. 1.377 Multiply 3 and -0.67.
{ "pile_set_name": "DM Mathematics" }
d = d + 5, -y*d - 6 = 2*b for b. 3 Suppose 0*r = 3*r - 9. Suppose -5*v - g = 4*g, -5*g - 21 = -2*v. Solve 2*n + 7 = -5*q, 1 = 5*n - v*n - r*q for n. -1 Suppose -2*q - h + 7 = 4*h, -q + 4*h = 29. Let n be ((-24)/q)/(2/3). Suppose -2*s + n + 6 = 0. Solve -5*f = -s*c, -6*f + 2*f = -c - 9 for c. 3 Let a(h) = -h**3 - 11*h**2 + 12*h + 10. Let d = -33 - -21. Let l be a(d). Let t be (112/(-35))/((-2)/l). Solve 0 = -4*i - y + 2*y - t, 4*y + 4 = -i for i. -4 Let a(y) = 3*y - 9. Let h be a(8). Solve m - h = 5*t, 4*t - 3 = -m - 15 for m. 0 Suppose 16*l = 32*l - 48. Solve 10 = l*j + 2*j, -5*j = -u - 7 for u. 3 Let n(q) = q**2 - 14*q + 19. Let b be n(13). Solve -2*r - b - 7 = -5*z, 0 = -2*r + 2 for z. 3 Let n(r) = -r**3 + 18*r**2 + 16*r + 61. Let u be n(19). Solve 0 = -b - 3*q - 5, 4*b - u*q + 1 = -3 for b. -2 Let w be 3 + (-2 - 1) + -2. Let s be -1 + 2 + (-14)/w. Solve f = -2*y + 4*f - 20, -3*y = f + s for y. -4 Let n(x) = -x**3 + 7*x**2 + 17*x + 12. Let d be n(9). Solve j + 2*w - 1 = d*w, w = -5*j + 11 for j. 2 Suppose 21 + 0 = 7*r. Solve -r*v - 1 = -4*d, -4*v - 4*d = -0*v + 20 for v. -3 Let v(p) = 2*p**2 + 2*p. Let l be v(-2). Let w be 1/l - (-412)/16. Let x = -2 - -2. Solve -5*n = -5*i + w - 11, x = -n - 2*i + 9 for n. 1 Suppose -18 = -c + 3*p, 3*c + c - 5*p - 37 = 0. Suppose -14 = 4*z - 6, -3*t - c*z = 3. Solve -3*s = i - 2, 5*i - 2*s + 6*s + t = 0 for i. -1 Suppose 5*f - 25 - 25 = 0. Suppose -w + 0*w + 6 = 0. Let l = w - 6. Solve l = d + 5*v - 10, -5*d + v - f = -4*v for d. 0 Let a(z) = 4*z - z - z**2 + 0*z**2 + z. Let v be a(4). Solve 0 = -3*s + 5*n - 24, -3*s - n = -v*s + 6 for s. -3 Suppose -5*n + n = 0. Let r = -87 - -89. Solve 3*a = -a - 4*m - 20, n = r*a - 2*m - 10 for a. 0 Let w = -5 + 5. Suppose w = -0*r + r - 12. Let y = -10 + r. Solve 0 = 3*v + d - 7, y*d + 4 = 0 for v. 3 Let h(s) = s**3 - 4*s - 3 + 3*s**2 + 0*s**3 + 5*s - 3*s. Let p be h(-3). Solve -3 + 18 = -p*q + 4*k, 4*k = -4*q - 20 for q. -5 Suppose 0 = 2*g + 6, 5*z + 5*g + 4 + 1 = 0. Let k(a) = -a**2 + 4*a - 1. Let l be k(3). Solve 4*t - l*h - 2 = 0, 4*t + z = 4*h - 2 for t. 2 Let r(c) = -11*c - 19. Let w be r(-2). Solve -2*s + 36 - w = 5*h, 2*h = 2*s + 2 for s. 4 Suppose w + 3 = -4*n, 5*n - 10*w - 15 = -5*w. Solve 0 = -2*o + c - 7, 11 = -o + 2*c - n for o. -1 Let q = -14 + 16. Solve -2*m - q*y - 12 = -4*m, 2 = -2*y for m. 5 Let q be (-3 - (-8)/2) + -4. Let b be (3 + -1)/(q + 4). Suppose -2*t + 8 = -2*g, 2*t - 2 = -b*g + 2. Solve 5*w - 4*a = -2*a - 11, 0 = -5*w + t*a - 9 for w. -3 Suppose 2*f = -4*n + 68, 2*n - 56 = -n - 4*f. Let h(c) = 2*c - 6. Let j be h(6). Let w = j + -2. Solve -3*u + 28 = w*k, 5*k - 2*u + u = n for k. 4 Let p be ((-8)/(-6))/((-2)/(-9)). Suppose -4*z + 10 = -p. Suppose -2*v - 5*l = 3*v - 40, 3 = -z*v + 3*l. Solve -2*k + 4*i = -8, -v = -k + 5*i + 13 for k. -4 Let p be 8 + (1 - -3) + -9. Let f(m) = -m**2 - 8*m - 2. Let j be f(-6). Let i be 4/(-10) - (-84)/j. Solve a + i = -4*q - 0*q, -p*a = 0 for q. -2 Suppose -5 = 5*i - 4*g - 17, 5*g = 4*i - 15. Solve i = 4*v + 2*p + 30, -3*p - 33 - 2 = 4*v for v. -5 Let b = 4 - -1. Solve 4*i + 8 = -b*k - 2, 10 = -2*i for k. 2 Let r(a) = 2*a + 6. Let q be r(5). Let u be (-18)/(-6) + q + 0. Solve 3*m = t - 6 + 5, 3*m - u = -4*t for t. 4 Suppose -2*j = -3*j + 1. Solve 4*a = -5*r + 7, -a + 2*r - 4*r = -j for a. 3 Let n be 136/36 + (-4)/(-18). Let b = -42 + 44. Solve 0 = -b*l - 3*l + 3*c + 10, n*l = -2*c + 8 for l. 2 Suppose -1 - 1 = -o. Suppose -3*b + 0*t + 2*t - 19 = 0, -8 = -4*t. Let u = 9 + b. Solve -o*f - 3 = 3*h, 3*h - u*f = h - 18 for h. -3 Suppose 0 = 3*n - 4*c + 17, -5*c + 0*c = 4*n - 29. Let m = n - -12. Solve 2*j + 2 = 2*t, -5*t + 0*t + j = -m for t. 3 Let o = -10 - -7. Let w be o/12 - (-42)/8. Solve k - 16 = w*n + 3, -3*n - 21 = -3*k for n. -3 Let k be 8*(-1)/(-10) - (-33
{ "pile_set_name": "DM Mathematics" }
-16 Rearrange z**2 - 5 + 3 - 8*z**2 to o + u*z**2 + p*z and give o. -2 Rearrange -597*z + 43*z**2 + 597*z to the form o*z + u + h*z**2 and give o. 0 Rearrange (-9 + 2*m + 9)*(2 - 2 - 1) - 9*m - 21 + 21 to the form p*m + w and give p. -11 Express -7 + 13 - 2*c + c**3 + 0 - 2*c**3 in the form m + d*c + i*c**3 + q*c**2 and give i. -1 Express -y - y**2 - 4*y - 4*y**2 + 4*y**2 in the form q*y + s*y**2 + r and give q. -5 Express a - a + 3*a + (-2 + 2 - 2*a)*(2 - 2 + 1) as i + k*a and give k. 1 Rearrange (-2*v + 2*v - 2*v)*(7 - 5 + 4)*(v + 6*v - 2*v) to the form h*v + y*v**2 + l and give y. -60 Express (-4 + 5 + 1)*(-3*i - 2*i + 3*i) - i + 0 + 0 in the form k*i + y and give k. -5 Express 0*c**3 + 1779*c**2 - 1779*c**2 - 5*c**3 + 1 + c in the form y*c**2 + m*c + g + p*c**3 and give m. 1 Express (9*m**3 - 3*m**3 - 9*m**3)*(2*m - 4 + 4 + 2) as a*m**3 + o*m + k*m**2 + p + w*m**4 and give w. -6 Express (-3*l + 3*l + l)*(-127 - 390 + 1011) as u*l + c and give u. 494 Rearrange l**3 - l**3 + 2*l**4 + (4*l - l - 4*l)*(-3*l**3 + 3*l**3 + 2*l**3) + 0*l + 2*l + 17*l**4 - 60*l**4 to f*l + q + d*l**2 + a*l**4 + u*l**3 and give d. 0 Express -4 + 3 + 46*b**2 - b**4 + b - 45*b**2 as i*b**4 + m*b + j*b**2 + c + a*b**3 and give c. -1 Express 3*f**3 - 4 + 4 + 3 + (-3*f**3 + 4*f**3 - 3*f**3)*(-9 - 13 + 16) as h + t*f**3 + q*f**2 + a*f and give t. 15 Express (-38*z - 35*z + 70*z)*(-z + 3 - z - 2) + 0*z**2 - z**2 - z**2 as o*z + d + u*z**2 and give d. 0 Rearrange 2*c**3 + 4*c**4 + 0*c**4 + 7 - 3*c**4 + 6*c**2 - 8 to the form i*c**2 + u*c + r*c**4 + z + b*c**3 and give z. -1 Express -2 - 36*m - 22*m - 28*m + 17*m in the form x + o*m and give o. -69 Rearrange (-1 - w - w + 4*w)*(4 - 5 + 3) to the form m + l*w and give l. 4 Express -3*b + 13*b**2 + 3*b + (2 + 5 - 6)*(-5*b**2 - 8*b**2 - b**2) as j*b + t*b**2 + m and give t. -1 Rearrange (-1 + 2*a + 1)*(5*a - 2*a + 2*a)*(-2 + 5 + 1) to i*a + w + b*a**2 and give b. 40 Express (-3*z - 6*z - 6*z)*(2*z - 4 + 4*z - 5*z) as t*z**2 + c*z + r and give t. -15 Rearrange (-1 + 4 - 1)*(-12*w**3 + 48 + 9*w**3 + 2*w**3) to the form d + k*w**3 + c*w + a*w**2 and give d. 96 Rearrange (r + 2*r - r + 2)*(-257*r**2 - 258*r**2 + 530*r**2 + 2*r**3) to z*r**3 + w*r**4 + y*r**2 + h + n*r and give y. 30 Rearrange -11*x + 8*x - 7*x - 6*x to the form u*x + r and give r. 0 Rearrange -b + 7*b - 24*b to c + s*b and give s. -18 Express -4 + 5 + 18*v - 1 as a + i*v and give i. 18 Rearrange 3*i**2 + 3*i**3 + 26*i**4 - 2*i - 28*i**4 - i**2 to the form v*i**2 + t*i**4 + l + y*i**3 + d*i and give t. -2 Express -2*w + w**2 + 7*w + 719*w**3 - 716*w**3 as g*w**3 + r + s*w + f*w**2 and give f. 1 Rearrange (2*u**3 - 2*u**3 - 2*u**3)*(-37 + 52 - 32) to n + s*u + j*u**3 + q*u**2 and give j. 34 Express f - 2*f**2 - f**2 - 12*f**4 + 10*f**4 - 2 in the form h + x*f + i*f**2 + t*f**3 + d*f**4 and give x. 1 Express 13 + k - 33 + 27 + 5*k as c*k + o and give c. 6 Express 4 - 4 + 44*a + 0 as u + g*a and give g. 44 Rearrange -4*v + 7*v - 3*v + 11*v**2 to the form i*v + r + j*v**2 and give j. 11 Rearrange ((y + 0 + 0)*(3*y - 3*y - 2*y) - 541 + 35*y**2 + 541)*(0 + 1 - 3)*(0 + 3 - 1)*(0*y + 4*y - 2*y) to the form n*y + r*y**2 + q*y**3 + j and give q. -264 Rearrange 3*z - 2*z - 11*z**3 - 10*z**3 + 26*z**3 - 10 to the form m + d*z + b*z**3 + h*z**2 and give d. 1 Rearrange (0*j + 3*j - 2*j)*(10 + 12 + 10) to r + t*j and give t. 32 Rearrange (l + l - 3*l)*(-12*l + 4*l + 45*l)*(1 - 1 - 2*l) to the form s*l**3 + v*l + k*l**2 + n and give k. 0 Express (4*w**2 + 6*w**2 - 13*w**2)*(0*w - 3*w + w) - w + 11*w - 2*w**3 - 6*w as v + n*w**2 + y*w**3 + x*w and give x. 4 Express (1 + 2*f**2 - 1)*(2 - 11 - 8)*(5*f - 2*f - 2*f) in the form a*f**2 + b*f**3 + p + c*f and give b. -34 Rearrange 93 - 93 - 19*t to g*t + i and give i. 0 Rearrange 3*a + 73*a**2 - 3*a - 2*a**3 - 77*a**2 to v + g*a**3 + q*a + f*a**2 and give f. -4 Rearrange (2*v**3 + v**3 + 5*v**3)*(0 + 0 - 2) + 2*v**3 - 2*v**2 + 2*v**2 + 2*v**2 + v
{ "pile_set_name": "DM Mathematics" }
*z**2 and give x. 2 Express (-4*v**3 + 5*v**3 - 4*v**3)*(3 - 2 - 3)*(-3 + 3 + 3) as r*v**3 + n*v**2 + o*v + p and give r. 18 Rearrange -3 - 3 - 5*a**2 + 5 + 0 to the form h*a + k*a**2 + f and give f. -1 Express -b**2 - b**2 - 2*b**3 - 5*b**3 as r + k*b + l*b**3 + q*b**2 and give q. -2 Express -13*a**2 - 2*a + 12*a**2 + 0*a**3 + 4*a**3 in the form k + g*a + q*a**2 + j*a**3 and give q. -1 Rearrange (-2*c - 2*c + c)*(0*c**2 + 3*c**2 - 5*c**2 + (c - 2*c + 0*c)*(7*c - 3*c + 2*c)) to the form q*c**2 + d + b*c + l*c**3 and give l. 24 Express -8*x**2 + 28*x**2 + 19*x**2 + 3*x**2 in the form q*x**2 + h + n*x and give q. 42 Rearrange (0*b + b + b)*(-1 - 2 + 4) + 0*b + b + 2*b + 11*b + 25 - 25 to the form j*b + v and give j. 16 Express -2*l**2 + 22*l**2 - 5 + l + 5 + 1 in the form q*l**2 + f + v*l and give f. 1 Express (1 + 1 - 4)*(17*r**4 - 29839*r**3 + 29839*r**3) as p + z*r**2 + t*r**3 + i*r**4 + s*r and give i. -34 Express -85*l + 70*l + 177*l in the form p*l + s and give p. 162 Rearrange (3 + 245*z - 120*z - 120*z)*(3*z**2 - 2*z**2 + 4*z**2) to the form h*z**2 + w*z + b*z**3 + v and give w. 0 Express (1 - 1 + z)*(0 - 4 + 3)*(2 + 8 + 9) as m*z + f and give m. -19 Express (-216*w**4 + 320*w**4 + 262*w**4)*(2 + 1 - 2)*(5 - 3 - 1) as c*w**4 + b + a*w**3 + q*w**2 + v*w and give c. 366 Rearrange (832 + 9*u**2 - 832)*(2 + 2 - 2) to s*u**2 + c + p*u and give s. 18 Rearrange -12*t**2 + 15 - 9 - 6 to v*t + u + x*t**2 and give u. 0 Rearrange 1 - 2*l**3 + 4*l - 5 + 3 - 2*l to the form c*l + b*l**3 + n*l**2 + k and give b. -2 Express (-1 + 108*h + 89*h - 220*h)*(3 - 5 + 5) in the form r*h + v and give v. -3 Rearrange -22*y**2 - 268*y + 266*y - 13*y**2 to the form b*y**2 + k + v*y and give v. -2 Rearrange -7*p + 2*p**3 + 4*p + 9*p + (-3*p**2 + p**2 + 0*p**2)*(2*p + 2*p - p) to the form y + u*p**3 + i*p**2 + v*p and give y. 0 Rearrange (0*f + 3*f - 2*f)*(-4*f**3 - 2*f**3 + 5*f**3) + 16*f**4 - 4*f**4 + 18*f**4 to a + i*f**3 + k*f**2 + d*f**4 + l*f and give d. 29 Rearrange -5*k**2 - 26*k + 25*k + k**2 to the form w*k + f + y*k**2 and give w. -1 Express 4*c**3 + c - 16*c**2 + 1 + 16*c**2 as n*c**2 + u*c + i*c**3 + k and give k. 1 Rearrange ((2*f - 4*f + 0*f)*(4 + 0 - 3) - 3 + 3 - 2*f)*(-4 + 5 + 1)*(1 + 2 + 0)*(1 - 1 + 4) to l*f + y and give l. -96 Rearrange -3*a + 32 - 32 to q + f*a and give f. -3 Rearrange 3*a + 18 - 27 - 2*a to q*a + h and give q. 1 Rearrange (m - 2 + 2)*(-1 + 0 - 1) - 7*m - 2 + 6*m + 3 to t + f*m and give f. -3 Express (-5*a + 11*a + a + (2*a + 0*a - 3*a)*(0 + 1 + 0))*(-2*a + 2*a - a) in the form c*a + i + m*a**2 and give m. -6 Rearrange -4 - 2*v**3 - 2*v**3 + 0 + 2 to the form w*v + b*v**2 + h + o*v**3 and give o. -4 Express (0 - 2*r - 2 - 3)*(-r**3 - 3*r**3 + 2*r**3) as j*r + c*r**4 + m*r**2 + x*r**3 + q and give c. 4 Express 17*k**4 + 62*k**4 - 12*k**4 + 70*k**4 + (3*k**2 - 3*k**2 - 2*k**2)*(-1 + 1 + k**2) as q*k**4 + l*k**3 + m*k**2 + x*k + b and give q. 135 Rearrange -10*h**2 - 6*h**2 + h**3 + 17*h**2 - 3*h to the form z*h**2 + a + m*h**3 + i*h and give i. -3 Rearrange (2*b + 0*b - b)*(4 - 3 + 1 + (-7 - 1 - 1)*(-2 + 1 + 3)) to f*b + a and give f. -16 Express (2*j**2 - 5*j**2 + j**2)*(8*j + 7 - 3*j - 6*j) as p*j**2 + v*j**3 + u*j + d and give p. -14 Rearrange d**2 + 20*d + d**2 + 0*d**2 - 15*d to w*d + g + l*d**2 and give w. 5 Express (-r - r + r)*(3*r - 5*r - 3*r) - 4*r**2 + 0*r**2 + r**2 in the form y*r + w + u*r**2 and give w. 0 Rearrange -19*k**3 - 43*k**2 + 0*k**4 + k**4 + 42*k**2 to x*k**4 + b*k**2 + f*k**3 + q + d*k and give b. -1 Express -1 + 0 - 4 + r**3 - 2*r**2 + 6 in the form b*r**3 + k*r**2 + l*r + z and give k. -2 Express 4*p - 3*p - 3*p**3 + 0*p + p**3 + 1 as r*p**2 + a*p + n*p**3 + z and give n. -2 Express 22*h**2 - 31*h**2 - 30*h**2 in the form o + z*h**2 + w*h and give z. -39 Express 5*i**4 - 14*i**4 - 4*i**4 + (-2*i**2 - i**2 + i**2)*(1 - 1 - i**2) + 0*i**4 + i**4 + 0*i**4 as y + u*i**4 + p*i**3 + j*i + q
{ "pile_set_name": "DM Mathematics" }
value in -30, 28, -3, 5, 0.2, 0, -2? 28 Which is the second biggest value? (a) -0.2 (b) -1/208 (c) 0 (d) -42.274 b What is the third biggest value in 4.24841, 35, 2? 2 What is the third smallest value in 20/23, 2/7, 0.054, -1118? 2/7 What is the fifth smallest value in -2/3, 3/8, 2, -6725, -0.48, 4, -0.1? 3/8 Which is the second biggest value? (a) -282 (b) -16396 (c) 2/5 a What is the third smallest value in -690, -3, -53308? -3 Which is the third biggest value? (a) -2423 (b) 34 (c) -40 a What is the fourth smallest value in 14, -5, -0.1, -1, 16/9, -23/3? -0.1 Which is the fourth biggest value? (a) -5 (b) -2 (c) 0.3 (d) -4/3 (e) -6.2 (f) -5714/3 a Which is the seventh biggest value? (a) -384 (b) -2/15 (c) -0.2 (d) 4 (e) 3/4 (f) 9 (g) -0.1 a What is the second smallest value in -2/11, -2/25, -81, 91, 20? -2/11 Which is the third smallest value? (a) -500 (b) 0.2 (c) 13.99757 c What is the biggest value in -237, 3, 45/398? 3 Which is the biggest value? (a) 1 (b) 23.22 (c) -81 b Which is the third smallest value? (a) -3/2 (b) -370 (c) 11 (d) -0.1 (e) 0.3 (f) 2/189 d Which is the second biggest value? (a) -2 (b) -21 (c) -4/5 (d) -193 (e) -1 (f) -9/7 (g) -1/7 c Which is the biggest value? (a) 4 (b) -0.4 (c) -2821 (d) 603 d What is the fourth smallest value in 3, 44, 2/3, -7.8, 4? 4 What is the third biggest value in -3/5, -5, -1, -59, 39, 1.1, 2? 1.1 What is the third smallest value in 4, -0.9, -69, 1121, -2/13? -2/13 Which is the third biggest value? (a) -1/4 (b) 6/142751 (c) -40 (d) -4 d What is the third biggest value in -4/7, -1.45, -2, -3, 0.0101? -1.45 Which is the second smallest value? (a) -502 (b) 0.5 (c) -2/3 (d) 1/4 (e) 12 c Which is the third biggest value? (a) 0.01 (b) 2939 (c) 2/21 (d) -2/5 a What is the biggest value in -3, -20400, 3/20, -5, -1/4? 3/20 Which is the second smallest value? (a) 5 (b) -43/9 (c) -1/5 (d) -3/8 (e) 9 (f) -4 f Which is the second smallest value? (a) -0.3 (b) 8 (c) 0.025 (d) -26 (e) -0.2 (f) 0.06 a Which is the third smallest value? (a) -13 (b) -1095094 (c) 3 c What is the smallest value in -69, -0.4, 0, 0.11, 4, -0.23, 4/15? -69 Which is the sixth biggest value? (a) -581 (b) 0.2 (c) -3.8 (d) -2/5 (e) -4 (f) 0.3 a Which is the third smallest value? (a) 319 (b) 0.2 (c) 0 (d) -4 (e) -636 c What is the biggest value in -1, -0.213, -17.3? -0.213 What is the seventh smallest value in -4.3, -3, 5/4, 6, 4, -4, -0.61? 6 Which is the third smallest value? (a) -5/7 (b) -0.6 (c) 26 (d) -2/7 (e) -2/11 (f) 3 (g) -10.7 b What is the third smallest value in -45.5, 2/7, 3/7, 5, -0.5, 4, 74? 2/7 What is the third biggest value in -2/5, 3, 41674, -737? -2/5 Which is the third smallest value? (a) -56 (b) 197984 (c) -42 b Which is the smallest value? (a) 13126 (b) 1/12 (c) -41.4 c Which is the third smallest value? (a) 0.1 (b) -1320/13 (c) -0.3 (d) -4/11 (e) -5 d Which is the fifth smallest value? (a) -1.6022 (b) 28 (c) -2/13 (d) 2/3 (e) -5 (f) 1/3 d Which is the fourth biggest value? (a) 0.4 (b) 6/6685 (c) 0.3 (d) -3/11 (e) 2/11 (f) -10 b Which is the fourth smallest value? (a) 5 (b) -36/23 (c) 75/2 (d) -0.4 c What is the third smallest value in 0.23, 6.8853, -0.02? 6.8853 What is the smallest value in 13/2, 0.10564, 0.102? 0.102 What is the fifth smallest value in -0.1, 0.3, -10, -3, -118750? 0.3 Which is the biggest value? (a) -134 (b) 0 (c) -9/44 (d) -0.3 (e) -2/5 b Which is the sixth biggest value? (a) -32.9 (b) 12 (c) -2/5 (d) 34 (e) 1 (f) -1/5 a What is the smallest value in -2/19, -35071, 1, -1/11? -35071 Which is the third biggest value? (a) -3/8 (b) -96 (c) -0.4 (d) 16 (e) 0.4 a Which is the sixth smallest value? (a) -5 (b) 3 (c) 3/691 (d) -9 (e) 4 (f) 1/15 e Which is the fourth biggest value? (a) 0.5 (b) -2/7 (c) 3/2 (d) -0.3 (e) -43/2 (f) 178 b Which is the fourth smallest value? (a) -13 (b) 33/5 (c) 2/1309 (d) -0.3 b Which is the sixth smallest value? (a) -1/3 (b) 3 (c) 0.3 (d) -4 (e) -0.41 (f) -0.2 (g) 52 b Which is the third biggest value? (a) -0.01 (b) -520
{ "pile_set_name": "DM Mathematics" }
*k - 4*k - 4*k + 3*k. Let u(h) = -3*h. Determine d(u(v)). 6*v Let b(y) be the second derivative of -y**4/6 + y. Let l(x) = -3*x + 4. Let i(f) = -49*f + 63. Let g(j) = 4*i(j) - 63*l(j). What is b(g(z))? -98*z**2 Let w(u) = 39*u**2. Let l(v) = -v - 1. Let n(k) = -6*k - 5. Let y(i) = -5*l(i) + n(i). What is y(w(z))? -39*z**2 Let v(k) = k. Let n(w) = 2789*w**2. Calculate n(v(x)). 2789*x**2 Let l = 5 - -1. Let v(i) = l*i**2 + i**2 - 3*i**2. Let o(c) = c**2. Calculate v(o(x)). 4*x**4 Let x(k) = -6*k**2. Let h(o) = 95*o. Let p(l) = -8*l. Let a(q) = -3*h(q) - 35*p(q). Determine x(a(z)). -150*z**2 Let u(z) = -639*z. Let n(w) = -w. Determine n(u(x)). 639*x Let g(m) = 8*m. Let z(k) = 5*k - 2*k**2 - 5*k. Determine z(g(j)). -128*j**2 Let a(h) be the second derivative of h**4/4 + 3*h. Let y(j) = -2*j - 4. Let b(x) = 4*x + 9. Let p(c) = -4*b(c) - 9*y(c). Calculate p(a(k)). 6*k**2 Let i(q) = -259*q. Let f(d) = 2*d. Give i(f(o)). -518*o Let q(u) = -3*u**2. Let a(b) = -2698*b. Give a(q(j)). 8094*j**2 Let l(i) = i**2 + 9*i. Let n(v) = -2*v**2 - 5. Let x(w) = -w**2 - 2. Let z(o) = 2*n(o) - 5*x(o). Calculate z(l(y)). y**4 + 18*y**3 + 81*y**2 Let b(g) = -3*g**2. Let c(q) = -q**2 - q + 1. Let i(y) = 9*y**2 + 5*y - 5. Let t(h) = 5*c(h) + i(h). Give b(t(r)). -48*r**4 Let k(t) be the second derivative of 0*t**2 + 0 + 1/12*t**4 + 0*t**3 + 2*t. Let o(r) = -r. Determine k(o(g)). g**2 Let s(u) be the first derivative of -u**2/2 + 4. Suppose -3*a - 7*v + 2*v = 1, 20 = 4*a - 4*v. Let l(i) = 4*i - a*i + i. Calculate s(l(d)). -2*d Let z(c) = c**2. Let s be (-1)/(-4 + 2)*160. Let v(k) = -s*k + 80*k - 3*k**2. What is z(v(l))? 9*l**4 Let y(x) = x. Let z = -10 + 14. Let r(d) = z*d + 4*d - 2*d. Give r(y(s)). 6*s Let t(v) = -v + 1. Let r(s) = -3. Let o(u) = -3*r(u) - 9*t(u). Let w(i) = 4*i**2. What is o(w(f))? 36*f**2 Let g(h) = -4*h + 2. Let l(k) = -5*k + 3. Let b(s) = -3*g(s) + 2*l(s). Let z(a) = -8*a. Calculate z(b(x)). -16*x Let i(x) = 4*x - 17. Let r(g) = -2*g. What is r(i(h))? -8*h + 34 Let n(g) = g + 3. Let m be n(0). Let a(i) = 15*i**2 + 5*i - 5. Let b(j) = 8*j**2 + 3*j - 3. Let v(r) = m*a(r) - 5*b(r). Let x(s) = 2*s. What is v(x(y))? 20*y**2 Let w(m) = 62*m**2. Let x(b) = 3*b**2 - 5*b. What is x(w(s))? 11532*s**4 - 310*s**2 Let c(m) = -3*m. Let d(n) = 165*n. What is d(c(u))? -495*u Let o(p) = 9*p**2. Let q(l) be the first derivative of l**3/3 + 2. What is o(q(z))? 9*z**4 Let g(y) = -206 - 8*y + 206. Let r(x) = -3*x**2 + 0*x**2 + 5*x**2. Determine g(r(a)). -16*a**2 Let i(y) = 4*y. Let o(x) = -x**2 - x - 1. Let d(m) = -6*m**2 - 4*m - 4. Let j(k) = d(k) - 4*o(k). What is j(i(a))? -32*a**2 Let m(j) = 3*j. Let y(r) be the second derivative of r**5/120 + r**3/2 - r. Let t(g) be the second derivative of y(g). Determine m(t(d)). 3*d Let c(g) = g - 22. Let a(o) = -7*o. What is a(c(s))? -7*s + 154 Let u(v) = -2*v - 106. Let c(d) = 2*d. Give c(u(i)). -4*i - 212 Let t(n) = 20*n**2. Let q(m) = 81*m. Calculate q(t(h)). 1620*h**2 Let n(o) = -32*o. Let v(r) = -r**2. Calculate v(n(s)). -1024*s**2 Let d(z) = -15*z**2. Let c(m) = 3*m**2 - 49. Give d(c(a)). -135*a**4 + 4410*a**2 - 36015 Let t(v) = 14*v**2 - 32*v**2 + 26*v**2. Let d(j) = -2*j**2 + 3. Let k(u) = -5*u**2 + 7. Let r(b) = 7*d(b) - 3*k(b). Give t(r(m)). 8*m**4 Let z(m) = -2*m. Let t(k) be the second derivative of -k**4/12 - k**3/6 + k**2/2 + 3*k. Let l(h) = 4*h**2 + 6*h - 6. Let d(c) = -l(c) - 6*t(c). Give z(d(v)). -4*v**2 Let j(w) be the third derivative of -w**4/12 - 7*w**2. Let k(x) = 4*x. Calculate j(k(q)). -8*q Let w(b) = -b. Let r(y) be the first derivative of y**3/3 - y - 4. Let k(m) = 2*m**2 - 1. Let x(t) =
{ "pile_set_name": "DM Mathematics" }
(w) = -20*w + 1. What is the smallest common multiple of d(-1) and s? 252 Let a = -1542189/4 - -383351. Let t = -2182 - a. Let b = 61/25 - -487/200. Calculate the common denominator of b and t. 8 Let o(n) = 2*n**2 - 6*n - 6. Let c be 8 - 5/(10/6). Suppose -8*x + 15 = -49. What is the smallest common multiple of o(c) and x? 56 What is the common denominator of 3/(66/4) + 180861/(-55594) and (-43 + 1)*3/(-20)? 70 Let c = -96262045959952248209/1163922 - -82704894279783. Let b = c - -324/11411. Let x = b + 992/17. What is the common denominator of x and -82/33? 66 Suppose -x - 16*x = -272. What is the common denominator of 5/51 and 628/(-60) - x/(-2)? 255 Let z = -7/180 + -6743/180. Let u = 5/3017 - -141699/60340. Find the common denominator of u and z. 20 Calculate the common denominator of (-1470)/1323*(62/(-8) - (-3)/12) and 38/27937. 83811 Let v be (-1624)/87*(-2)/((-8)/(-6)). Suppose -5*c + 160 = j, -c + 5*j = v - 86. What is the lowest common multiple of c and 39? 429 Let s(p) = 3*p + 4*p - 5*p - 3*p. Let q = -5 + 27. Calculate the lowest common multiple of q and s(-6). 66 Suppose -2881*t + 2876*t = -300. Suppose 57 = r + u, -3*r - 5*u + 101 = -t. Calculate the lowest common multiple of r and 22. 682 Let n(l) = -2*l**2 - 15*l + 61. What is the common denominator of -69/1454 and n(4)? 1454 Let r(a) = 0 + 18 + a - 1 + 21. What is the least common multiple of r(-16) and -113*(-5)/(5/2)? 2486 Let m(w) = -w + 5. Let p be m(-9). Let k = 18 - p. Suppose 58*r - 240 = 46*r. What is the smallest common multiple of k and r? 20 Let u(x) = 2*x**3 - 34*x**2 + 10*x - 95. Calculate the lowest common multiple of 9 and u(17). 225 Let f(v) = 295*v**2 - v. Let w be f(-1). Suppose 0 = -3*s - 2*u - 398, 0 = 4*s + 2*u + w + 234. What is the common denominator of (8*6/s)/(2/15) and -40/11? 11 What is the common denominator of 21/440 and 300/1452 + (-70)/48 + (-64)/(-48)? 4840 Let w(y) = -72*y - 33. Let s be w(4). Let i = s + 346. Calculate the lowest common multiple of i and 65. 325 Find the common denominator of -85/21 and 3/20 + (-1)/4 + (-57875)/(-757500). 42420 Let j = -14/591 - -4585/18912. What is the common denominator of j and -7/440? 1760 Suppose 6*y + 30 = 9*y. Suppose s = 3, 3*s + 1 = 4*j - 2. What is the least common multiple of 1 + -2 + 3/(j/11) and y? 10 Let b(w) = -w**3 - 4*w**2 - 10*w - 22. Let p be b(-4). Calculate the common denominator of (-36)/p + 137/14 and -37/438. 3066 Let d = 2720 + -1857. What is the common denominator of 3 + (6/24)/((-72)/d) and 47/14? 2016 Let t(w) = 3 + 5 - 21*w + 6*w + 14*w. Suppose 4*r - 5*q - 30 + 8 = 0, 2*r - 18 = -q. Calculate the smallest common multiple of r and t(-10). 72 Let r = 4367/615 + -108/41. Let q be (5/(-25))/((-4)/20). Calculate the common denominator of r and (-2)/32*(-118)/3*q. 120 Let u = -1655 + 42999/26. Calculate the common denominator of u and 89/728. 728 Let k = 3/1751 - 47949/392224. What is the common denominator of -25/98 and k? 1568 Let r(t) = 7*t + 1. Let f be r(5). Find the common denominator of 206/f + (8 - 6) and 247/88 - ((-8)/11)/(-4). 72 Let n be -157 + -18*(-4)/12. Let a = n + 183. What is the lowest common multiple of a and 18? 288 Let z be (-999184)/30 + 46/345. Let f = -1332361/40 - z. Find the common denominator of f and (-4)/6 - (-1)/60. 40 Calculate the common denominator of -58/99 and (-418)/(-405) + 960/(-600). 891 Let o = 33273870519/50711 - 656147. Let l = o + 242867/304266. Find the common denominator of 10/3 and l. 114 Suppose 11*z = -22*z - 25080. Find the common denominator of (-3986)/z + 4/38 and 89/2. 20 Suppose 37*h - 38*h - 104 = 0. Let w = 59 + h. Let y = w + 53. Calculate the lowest common multiple of 4 and y. 8 Let a = 1/20231 + -3014515/1942176. Calculate the common denominator of -4 - (1 + -4 + 12080/(-768) + 16) and a. 96 Calculate the common denominator of -103/126 and -2 + (-2784)/(-1620) + (-1)/10. 1890 Let s(r) = -23*r**2 + 16*r + 82. Let a be s(-12). Let z = a - -20467/6. Find the common denominator of -89/8 and z. 24 Calculate the common denominator of (-761)/(-700) - 30/(-5625)*-15 and 13/2260. 15820 Let t(c) = -c**3 - 36*c**2 - c + 12. Calculate the lowest common multiple of t(-36) and 42. 336 Suppose -33077 + 13084 = -3*f - 2*v, 3*f - 19992 = -3*v. What is the smallest common multiple of 11 and f? 73315 Suppose 0 = -17*z + 8*z + 48942 + 65196. Calculate the smallest common multiple of z and 4. 25364 Let i(v) = v**2 - 19*v + 18. Let f be i(18). Calculate the smallest common multiple of 48 and -3*(f + 2)*72/(-54). 48 Let i = 2446 - 2444. What is the smallest common multiple of i and 30180? 30180 Let n = -10849 - -260369/24. Let k = -38/373 - 12433/13428. Find the common denominator of k and n. 72 Let v = 44599/55 - 811. Let l = 36621/10 + -10999/3. What is the common denominator of l and v? 330 Calculate the lowest common multiple of 44 and (1/2)/(1 + 1395/(-1398)). 10252 Let l be ((-4)/5)/(-4*2/(-80)). What is the common denominator of 53/68 and 7 + (562/(-28) - l)? 476 Let p(x) = 11*x**3 - 2*x + 1. Let j be p(1). Let y(g) = -g**2 - 1268*g - 13815. What is the smallest common multiple of 96/j - (-2)/5 and y(-11)? 60 Let g = 19302229/58423560 - 2108/6609. Find the common denominator of g and 53/3094. 61880 Let i = 4556501/39 - 116834. Let p = -10741/10 - -1075. Calculate the common denominator of p and i. 390 Let o = -
{ "pile_set_name": "DM Mathematics" }
1851 What is 168.323144 rounded to two dps? 168.32 What is -1389046.799 rounded to the nearest one thousand? -1389000 What is -0.00008007554 rounded to 6 dps? -0.00008 Round -5748.59659 to the nearest 10. -5750 What is 6480926.47 rounded to the nearest 1000000? 6000000 What is -51049.2325 rounded to the nearest 10? -51050 Round -0.000002121478819 to seven decimal places. -0.0000021 Round 52.7024613 to 2 decimal places. 52.7 Round -271122.7072 to the nearest 10. -271120 Round -9362693 to the nearest 1000000. -9000000 Round -111074.933 to the nearest 10000. -110000 What is -20734669.213 rounded to the nearest one thousand? -20735000 What is 2307.22949 rounded to zero decimal places? 2307 Round 125789.86 to the nearest 100. 125800 Round -0.330945614 to 2 dps. -0.33 What is 58.34302862 rounded to two dps? 58.34 What is -0.0198433338 rounded to 4 dps? -0.0198 Round 16646.21632 to the nearest integer. 16646 What is -4216638.981 rounded to the nearest one thousand? -4217000 What is -694.14231 rounded to the nearest integer? -694 What is 0.000866256892 rounded to 7 dps? 0.0008663 Round 0.58893704 to 4 decimal places. 0.5889 What is -1673641850 rounded to the nearest 1000000? -1674000000 Round -1961.41687 to the nearest one thousand. -2000 What is -941990360 rounded to the nearest 100000? -942000000 What is -174.504 rounded to the nearest ten? -170 What is -5.039108611 rounded to one decimal place? -5 Round -4.5808862 to two decimal places. -4.58 What is 2650.1191 rounded to the nearest one thousand? 3000 Round -5379820.5 to the nearest 100000. -5400000 Round 35.6092176 to one decimal place. 35.6 What is 0.00521531861 rounded to three decimal places? 0.005 Round 0.227755286 to four dps. 0.2278 What is -5661.8666 rounded to the nearest 100? -5700 What is 6015051.491 rounded to the nearest ten thousand? 6020000 What is 1593986.857 rounded to the nearest 10? 1593990 What is 17536.43931 rounded to the nearest ten? 17540 Round -17023815.42 to the nearest 10000. -17020000 What is -6.59542942 rounded to three dps? -6.595 Round 1.9328997 to one dp. 1.9 What is -0.000195758266 rounded to five dps? -0.0002 What is -0.001736246503 rounded to 4 decimal places? -0.0017 Round 1087542.1435 to the nearest one hundred thousand. 1100000 Round 0.0743249962 to five decimal places. 0.07432 What is 365.792387 rounded to 2 decimal places? 365.79 Round 3.330781327 to four dps. 3.3308 What is 6805744 rounded to the nearest one hundred thousand? 6800000 What is -670.184132 rounded to the nearest 100? -700 Round -2211853.7 to the nearest one million. -2000000 What is 6.2157264 rounded to three decimal places? 6.216 What is 1879444.03 rounded to the nearest one hundred thousand? 1900000 What is -35.0093575 rounded to one dp? -35 What is -2.679620869 rounded to four dps? -2.6796 What is 0.001384023979 rounded to 4 decimal places? 0.0014 Round 0.000315494423 to 7 dps. 0.0003155 Round -0.004338263468 to four decimal places. -0.0043 Round -11237.870998 to zero dps. -11238 What is -0.06992134 rounded to one decimal place? -0.1 What is -3.6079933 rounded to three dps? -3.608 What is 201.231654 rounded to the nearest ten? 200 What is -0.4931948009 rounded to 3 decimal places? -0.493 What is 36.6999166 rounded to the nearest 10? 40 What is -1824621.658 rounded to the nearest one hundred? -1824600 What is -1234217.147 rounded to the nearest 10000? -1230000 What is 2875012.541 rounded to the nearest 100000? 2900000 What is -0.00000033877681 rounded to 7 dps? -0.0000003 Round 2511.02415 to 1 decimal place. 2511 Round -198.19566 to the nearest 10. -200 Round 11123.7631 to the nearest one thousand. 11000 What is -0.000053633353 rounded to six dps? -0.000054 What is 1.295324561 rounded to 3 dps? 1.295 Round 15737061.2 to the nearest 100000. 15700000 What is 493.627548 rounded to the nearest 10? 490 What is 36518311.1 rounded to the nearest 10000? 36520000 What is 0.00274592925 rounded to 6 dps? 0.002746 What is 83.5635389 rounded to the nearest 10? 80 Round 358605.788 to the nearest one thousand. 359000 Round -0.00002630231409 to 6 dps. -0.000026 Round 129644152.1 to the nearest 1000000. 130000000 What is -1.1594292 rounded to one decimal place? -1.2 What is -0.0083916438 rounded to 6 decimal places? -0.008392 What is -0.59013625 rounded to three dps? -0.59 What is -0.00021346967698 rounded to 6 decimal places? -0.000213 What is 0.59083587 rounded to four decimal places? 0.5908 Round 21.3235798 to 3 dps. 21.324 Round -0.00052211942 to 6 decimal places. -0.000522 What is 0.005109981034 rounded to 5 decimal places? 0.00511 Round 5148.142955 to the nearest 10. 5150 Round 25.38342327 to one dp. 25.4 Round 0.0006160544 to five dps. 0.00062 Round -36107838870 to the nearest one million. -36108000000 Round 0.06371223268 to three decimal places. 0.064 Round -876.348658 to the nearest 100. -900 What is -37087.32155 rounded to the nearest integer? -37087 Round -19862645.72 to the nearest one million. -20000000 What is 0.0565795636 rounded to 2 decimal places? 0.06 What is -1.531302648 rounded to two dps? -1.53 Round -786723.52 to the nearest one million. -1000000 What is 57935885.2 rounded to the nearest 100000? 57900000 What is -0.0027036031 rounded to five decimal places? -0.0027 What is -1781.138501 rounded to the nearest ten? -1780 Round 10817.1 to the nearest ten thousand. 10000 Round -81357.61 to the nearest 10000. -80000 Round 84529020100 to the nearest one million. 84529000000 What is 174.338664 rounded to one dp? 174.3 What is 57602.1105 rounded to the nearest 1000? 58000 What is -0.008102745545 rounded to five decimal places? -0.0081 What is 73.96931 rounded to two dps? 73.97 Round -43072.4552 to the nearest 1000. -43000 What is 4125.75627 rounded to the nearest 10? 4130 Round -0.02036124787 to 3 decimal places. -0.02 Round 0.000040961237 to five decimal places. 0.00004 Round -108707.676 to the nearest
{ "pile_set_name": "DM Mathematics" }
2*q**5 + 7 + (-7*q**3 + 3*q**3 + 2*q**3)*(2*q**2 + q - q). -6*q**5 - 2*q**3 Expand (-12 + 98 - 44)*(0*z + 3*z - 4*z). -42*z Expand -3*w + 2*w + 0*w + (-w + 0 + 0)*(0 - 2 + 0) + (5*w + 5 - 5 + 1)*(3 - 4 - 2). -14*w - 3 Expand -10*h**2 - 19*h**3 + 10*h**2 + 4*h**3 + 2*h**3 - 3*h**3 + (h + 2*h - 5*h)*(0*h**2 + 2*h**2 + 0*h**2). -20*h**3 Expand -4*f**5 + f**5 - 6*f**3 + 9*f**3 + (-2*f - 2*f + 5*f)*(4*f**4 - 2*f**4 + 0*f**4). -f**5 + 3*f**3 Expand 2*t**3 + 0*t**3 + 0*t**3 + (-2*t + 5*t - t)*(-5*t**2 + 0*t**2 - 2*t**2). -12*t**3 Expand -c + c - 2*c**2 + c**2 + 0*c**2 + 2*c**2 + (3*c - c - 3*c)*(-c + 1 - 1). 2*c**2 Expand (-h - 2*h + 2*h)*(-13 - 4 - 7). 24*h Expand 71 + 2*m - 71 + (-3*m + 2*m + 2*m)*(6 - 1 - 3) - 2*m + m + 2*m + 2*m - m + 0*m. 6*m Expand (-2 + 4 + 0*f - 3*f)*((-2*f + 4*f + 0*f)*(1 - 5 + 3) - 3*f + f - 3*f). 21*f**2 - 14*f Expand -y**3 + y**2 - y**2 + (0*y - 4*y + 5*y)*(2*y**2 + 2*y**2 - 3*y**2) + 3*y**2 + 2*y**3 - 3*y**2 + 2*y + 2*y**3 - 2*y. 4*y**3 Expand 5*i**2 - 3*i**5 - 5*i**2 + (-2*i + i - i)*(6*i**4 - 2*i**4 - 2*i**4). -7*i**5 Expand ((-1 + 2 + 1)*(-4 + 4 - 1) - 1 + 3 + 0 + (2 + 0 - 4)*(3 - 7 + 2) + 4 + 4 - 6)*(0 + 0 - 2*q). -12*q Expand 0*d**3 + 2*d**3 - d**3 + (-5*d + 6*d + 3*d)*(2*d**2 + d**2 - d**2). 9*d**3 Expand (2 + 4 - 3*d - 4)*(8*d - 7*d - 3*d - d**2). 3*d**3 + 4*d**2 - 4*d Expand (2*k - 3*k + 3*k)*(-5*k - 4*k + 3*k) + (2 + 2*k - 2)*(-2*k - 2*k + 6*k). -8*k**2 Expand -3*h + 4*h + 0*h + (1 + 0 + 1)*(15*h - 16*h + 6*h)*(-4 + 2 + 0). -19*h Expand (-1 + 1 - 1)*(3*z + 2*z**3 - 3*z) + (z**2 + 1 - 1)*(-z + 4*z + 0*z). z**3 Expand (0*u**2 - 4*u**2 + 6*u**2)*(-6*u**2 + 2*u**2 + 0*u**2) + 0*u**3 + 5*u**4 + 0*u**3. -3*u**4 Expand (-5*y + 0*y + 3*y)*(-2*y**3 - y**3 - y**3 + (0*y**2 - 2*y**2 + 4*y**2)*(-3*y - 1 + 1) + (0*y + 4*y - y)*(y**2 - 2*y**2 + 2*y**2)). 14*y**4 Expand (-5 + 6*c**5 + 5)*(-1 - 8 + 6). -18*c**5 Expand (8*l**3 + 0*l**3 - l**3)*(-3*l + 5*l - l). 7*l**4 Expand (w - 2*w + 3*w)*(w**2 - 2*w**4 - w**2) + (4 - 3 - 2)*(2*w**5 + 3*w**4 - 3*w**4). -6*w**5 Expand (0*s**2 - s**2 + 0*s**2)*(0 + 0 + s**2) - 36*s**4 + 10*s**4 - 36*s**4. -63*s**4 Expand -2*w**5 - 4 + 4 + (4*w**2 - 4*w**2 + 2*w**2)*(8 - 4*w**2 - 8)*(5*w - w - 2*w). -18*w**5 Expand (2 - 2 + 2)*(5 + 3 + 1)*(-3*s + 3*s - 2*s). -36*s Expand (-3*j - j - 3*j)*(-3 + 3 - 2*j)*(2 - j**3 - 2). -14*j**5 Expand (14 - 7*o - 14)*(-6 - 5 + 5) + (-1 + 0 + 0)*(6*o - 4*o + 0*o). 40*o Expand (5*v - v - 3*v + 6*v - 2*v - v + (2*v + 3 - 3)*(-1 + 4 - 2) + v - 3*v - v)*(-3 + 2 + 0)*(7 - 3 - 3). -3*v Expand (1 - 1 + 3*v)*(-4*v - 7 + 9 + 0). -12*v**2 + 6*v Expand (-v**3 + v**3 - v**3)*(3 + 0 - 2) - 34*v**2 - 3*v**3 + 34*v**2 + 1 + 4*v**2 - 2*v**3 - 4*v**2. -6*v**3 + 1 Expand (8 + 3*p - 4 + 0)*(p**3 - 3*p**4 - p**3). -9*p**5 - 12*p**4 Expand (-o + 1 - 1)*(-2*o**3 - o**2 + o**2) - 2*o**4 + 0*o**4 + 3*o**4 + (-2*o**3 + 5*o**3 - o**3)*(4 - 4 + 2*o) + 4 + 2*o**4 - 4. 9*o**4 Expand (-2*c + 1 - 1)*(-10 + 4 + 9). -6*c Expand (g**4 + 0*g**4 + 4*g**4)*(1 + 0*g + 2*g + 1). 10*g**5 + 10*g**4 Expand 0*j**5 - 3*j**5 - 2*j**5 + (1 + 2*j**3 - 1)*(2*j**2 - 3*j**2 - j**2) - 3*j**2 + 3*j**2 + 2*j**5. -7*j**5 Expand (3 - 3 + f)*(f - 5*f + 6*f) - 7*f**2 + 3*f + 8*f**2 - 5*f. 3*f**2 - 2*f Expand (-591*p**2 + 1 + 589*p**2 + 1 - 3*p)*(0*p**2 - p**2 - p**2). 4*p**4 + 6*p**3 - 4*p**2 Expand (5*w + 0*w - 3*w)*(11 - 11 + 7*w)*(-2*w + 0*w + 3*w). 14*w**3 Expand (1 - 1 - 1)*(2 + 0 - 1)*(31*t - 76*t - 12*t).
{ "pile_set_name": "DM Mathematics" }
? -26017.590045 -56 - 0.0131965 -56.0131965 Calculate -8457776 - 0.042. -8457776.042 Sum 3 and 187288198. 187288201 What is -2008 minus 0.0090818? -2008.0090818 Calculate 2119 - 7043988. -7041869 What is the difference between 0.51338 and -209788? 209788.51338 Sum -1 and 115383635. 115383634 -1145603 + 447 -1145156 0.08 + 15946993.2 15946993.28 What is the difference between -3432743 and -0.82? 3432742.18 14 - -45900.75 45914.75 Subtract -22.9 from -80630. -80607.1 What is 0.5 + -206.75689? -206.25689 What is the distance between -11.53 and 274868? 274879.53 Calculate 451905905 + 1. 451905906 Calculate 910 + -0.00934. 909.99066 What is 1039 less than -72889? -73928 What is -4171 minus -130.5376? -4040.4624 Add together -49972 and -1142.16. -51114.16 Work out 710068979 + 0.4. 710068979.4 Add 211061 and -39666. 171395 -12815396124 + 1 -12815396123 8 + 4090830.1 4090838.1 Subtract -0.3 from 75792.43. 75792.73 Work out -0.6875 - -2.75198. 2.06448 What is the difference between -23.449 and -5038? 5014.551 What is 0.09131827 take away 3? -2.90868173 What is -0.0249 take away 3944982? -3944982.0249 Calculate 392606718 - 0.15. 392606717.85 Calculate -25.49467467 + 0.2. -25.29467467 Work out -249322 + -806. -250128 Work out -0.912338628 - -5. 4.087661372 What is 38898242 less than -4? -38898246 Work out 6.9 + -41085.33. -41078.43 What is -272385 + -0.25? -272385.25 Total of 726.859 and -1750.2. -1023.341 Calculate 0.68 + -1003643318. -1003643317.32 Calculate 88425.99141 - -0.5. 88426.49141 Add together -0.071 and 743262. 743261.929 What is the difference between 1860087 and -1091.5? 1861178.5 Work out 3892159.95 + 3. 3892162.95 What is -3720784 less than 4? 3720788 Calculate 1487656 + 28735. 1516391 What is -847 - 6698161? -6699008 Total of 10049452984 and -2. 10049452982 27578136+103 27578239 Calculate -1.2 - 534254. -534255.2 What is -3722449830 + 3? -3722449827 What is the difference between -806 and -1.25372? 804.74628 What is the distance between 0.06 and 38.032218? 37.972218 Total of -1 and -128.6149. -129.6149 What is 12.417 + 0.060753? 12.477753 Add together -75771 and 434076. 358305 -7995.7 + -303562 -311557.7 -1491722+79.1 -1491642.9 What is 5785356406.6 minus -0.1? 5785356406.7 Add 0.2 and -15109489.6. -15109489.4 387146+-31147 355999 What is 68961.79 - -17.8? 68979.59 Subtract 190 from -92683. -92873 Work out -261419 - -183. -261236 What is the difference between -416.304 and 54? 470.304 What is the distance between -1213710630 and -0.5? 1213710629.5 -0.0844 + 5623 5622.9156 What is 349 take away 122466.7? -122117.7 Work out 145.258 + 489. 634.258 Calculate -0.22 + 1.1670634. 0.9470634 Subtract -2.54117 from -310. -307.45883 What is the difference between 23.4875018 and -3.1? 26.5875018 What is 46967078 plus 363? 46967441 What is -0.520456 take away 4.3? -4.820456 71739528+0.4 71739528.4 What is -3.2220925 plus 1109? 1105.7779075 -0.02 + -5018995 -5018995.02 Put together 1799.324388 and 7. 1806.324388 Add together 0.7 and 0.3134251505. 1.0134251505 Calculate -745 + -2711.675. -3456.675 What is -5362104 less than -0.03? 5362103.97 What is 0.17793444 plus 1.049? 1.22693444 Subtract -1752476 from 0.12. 1752476.12 Add -1622 and -42520. -44142 Calculate -101 - 3.76217. -104.76217 What is -66.37730913 - -0.3? -66.07730913 Total of 4 and -1182.377. -1178.377 Put together -45248 and -280. -45528 What is 21.711 less than -20.423? -42.134 What is 0.3 less than 12588272867? 12588272866.7 Calculate -0.163560889 - 1. -1.163560889 Subtract 0.2544595 from 16. 15.7455405 -0.2052957 + 0.0058 -0.1994957 760785+0.38149 760785.38149 Work out -910424970 - 0.4. -910424970.4 What is -186.149 - 13? -199.149 Sum -15.312 and -3570892. -3570907.312 Subtract -0.3 from 1.16678923. 1.46678923 Subtract 2447846274 from 4. -2447846270 Add together 1294639 and 29. 1294668 What is 0.03 less than -156482598? -156482598.03 Sum 10687 and 14.04. 10701.04 380455 + -5 380450 Put together 81855 and 7.858. 81862.858 What is -45226714 less than -0.5? 45226713.5 What is -16141.1395 minus -0.5? -16140.6395 What is the difference between -0.5 and -221407783? 221407782.5 What is the difference between 5.5888 and -24? 29.5888 What is the distance between 3.1 and -11723533? 11723536.1 Put together -3700 and -17105043. -17108743 48.06877 - 89 -40.93123 Calculate 0.03 - -26296577. 26296577.03 What is -209116015 less than -2? 209116013 Subtract -0.035 from -3225.5922. -3225.5572 Calculate 0.4246 - 24366. -24365.5754 Subtract 0.2 from 28274308. 28274307.8 -3.02 + -106377 -106380.02 What is 14936358 - -293? 14936651 Put together 145137187 and 231. 14513
{ "pile_set_name": "DM Mathematics" }
3/25. Let f = -49 + l. Is f bigger than 1? False Suppose -22*o = -17*o - 5. Is o greater than -1/23? True Let a be 2/3 - 3/3. Suppose 10*p - 7*p + 9 = 0. Which is greater: p or a? a Let x = 1.4 + -11.4. Let l = -10.06 - x. Which is bigger: l or -0.2? l Suppose 2 + 0 = -2*m. Let z = -1/498 + -155/5478. Which is bigger: z or m? z Let m(i) = i**2 - 5. Let r be m(2). Let s be ((-6)/16)/(13/4). Let x = s + -77/234. Is x >= r? True Suppose -4*w + 18 = 6. Which is bigger: w or 2? w Let p = -178 - -78. Let c = 701/7 + p. Is -1 < c? True Suppose c + 2*c + 3*w = 18, -24 = c - 5*w. Is c at least 12? False Let v(a) = a + 6. Let z be v(-5). Let m = 0.72 - 0.12. Let i = m - 0.5. Which is smaller: i or z? i Let h(p) = -2*p - 12. Let s be h(-9). Is 54/11 bigger than s? False Let q be (-6)/36 + (-14)/(-12). Suppose 4*m = 2*m. Which is greater: q or m? q Let d = 81 + -80.96. Which is smaller: 8 or d? d Let g = 1.3 - 0.4. Let m = g - 0.9. Which is smaller: m or 1? m Let q = 4.3 + -0.3. Let d = 3.8 - q. Which is greater: 1 or d? 1 Let n be (1 + -1)/(-14 + 16). Suppose n*w = 6*w + 96. Which is smaller: -17 or w? -17 Let t be (-3345)/55 - -3 - 2/11. Which is smaller: -56 or t? t Let n = 8 + -3. Suppose 7*d + n = 2*d. Is d at most -2? False Let z = 36.63 - 35.2. Let k = 1.5 - z. Let c be ((-2)/(-25))/(1/5). Which is smaller: c or k? k Let f = 53 - 54. Let p = -0.5 + -2.5. Is f greater than or equal to p? True Let g be ((-12)/(-10))/((-12)/(-30)). Suppose 0 = g*j - 7 + 4. Which is smaller: j or -4? -4 Suppose 0 = 2*i + 4*g + 58, -i = i + 5*g + 59. Is i greater than -26? False Let n = 0.24 + -0.11. Let t = n - 3.13. Let r = 51 + -151/3. Is t less than r? True Let g(y) = y + 5. Let z be g(-6). Let i = -9 + -11. Let s be (i/(-35))/(2*1). Do z and s have different values? True Let n(g) = -g**2 - 6*g. Let q be n(-6). Let w(i) = -i**3 + 3*i**2 + 5*i - 4. Let p be w(4). Are q and p equal? True Let u(n) = -n - 1. Let g be u(-5). Let q(i) = -i**3 + 13*i**2 - 13*i + 17. Let x be q(12). Which is bigger: x or g? x Let x(b) = -b**2 - 5*b - 3. Let p be x(-4). Let l be p/(-1) - (-3 - -1). Let t be 1/1 - 4/l. Which is bigger: -4 or t? t Suppose 6 = 3*q - 0*q. Suppose 4*a - 3*a = q. Let x be (a/(-5))/(6/(-10)). Which is smaller: x or 1? x Let n = -8 + 8.1. Which is greater: n or -2? n Let s(n) = 2*n - 2. Let u be s(2). Suppose -5*c - u = -7. Which is bigger: 0 or c? c Let t = -2.95 - 0.05. Let k = 3 + -1. Let w = 2 - k. Are t and w equal? False Let q be 2/2 + (-2 - 36/6). Is 2 smaller than q? False Let s(c) = -2*c**2 - 2*c - 1. Let f be s(-1). Which is greater: f or -2? f Let q be (-8)/40 + (-2)/(-10). Which is bigger: 1/8 or q? 1/8 Suppose 0 = -m - 3*k + 4*k + 7, 0 = -2*m + 4*k + 24. Which is smaller: m or 0.3? 0.3 Let a = 204 - 178. Which is smaller: 28 or a? a Let j be 92/(-9) + 4/18. Is -9 bigger than j? True Let u = -399/10 - -23581/590. Let o = -31/413 - u. Which is smaller: -2/5 or o? -2/5 Let r = -14 + 21. Suppose -b - 3*n = n + r, 5*n + 7 = -3*b. Is b bigger than 2/27? True Suppose 5*z + 21 = 12*c - 13*c, -c = -3*z - 19. Are z and -5 equal? True Let l = -3.07 - -0.07. Let m = l - -8. Which is greater: 0.2 or m? m Let l = -7.14 + 0.14. Let r = l + 10. Which is smaller: -2/3 or r? -2/3 Let d(n) = n - 8. Let f be d(10). Which is greater: 3 or f? 3 Let o(d) = d**3 - d**2 - d + 4. Let t be o(0). Let n = t - 9. Which is smaller: n or -4? n Let m = 0.04 + 0.06. Is m at least -1? True Let x = -169 + 169. Suppose 3*k - 9 = -2*y + 3*y, 2*k - 6 = -3*y. Suppose y = -n + 4*n - 3. Which is smaller: x or n? x Suppose w = -3*g + 37, -4*g = g - 4*w - 73. Do 13 and g have the same value? True Let w be (1 + 0)/((-1)/3). Let c be (-1 + 0)*(-3)/w. Is c greater than 0? False Suppose 4*f - 18 = -2*t, -f + 5 = -6*f + 3*t. Suppose -4*s - 24 = 2*c + f*c, -5*s - 40 = -5*c. Is s <= -7? True Suppose 3*n + 9 = -2*r - 2, 5*r = 5*n - 15. Let s be -4 + -1*(2 - 2). Are r and s equal? True Let i be 0*(26/(-8) + 3). Which is greater: -2/55 or i? i Suppose 2 = -3*v - 4. Let h be (-78)/28 - v/7. Which is greater: -4 or h? h Let f = 0 - 0.04. Let m = f - 0.04. Let g = m - 0.02. Which is bigger: g or 0? 0 Let c = -13 - -11. Which is bigger: c or 0.4? 0.4 Suppose 5*n - 2*a - 4 = 0, -2*n + 5*a + 10 = -3*n. Suppose n*c + 3*c = 24. Suppose -4*z - c = -2*z. Which is bigger: z or -5? z Let b be 5/(3 - 6 - -4). Suppose b = 2*o - 3. Which is smaller: o or 6? o Let l = -1274/5 - -50
{ "pile_set_name": "DM Mathematics" }
0*n**5 + 105*n**2 - 166*n - 2/5*n**6. What is the derivative of h(z) wrt z? -48*z**3 - 6 Let s = -23 - -56. Suppose -8*i + 6*i = -4*z, 3*i + 5*z - 22 = 0. Find the first derivative of 9 + s*d**2 - 14*d**2 - 19*d**2 - 8*d**i wrt d. -32*d**3 Let d = -184 + 210. Find the second derivative of 13*p**5 - d*p + 29*p**2 - 26*p**2 + 45 - 45 wrt p. 260*p**3 + 6 Let p(b) = 2*b**3 + 27*b**2 + 31*b - 28. Let u be p(-12). Suppose 2*m - 4488 = m. Find the second derivative of -m + 18*j**4 + u*j + 4488 wrt j. 216*j**2 Let a(c) be the second derivative of -7/6*c**3 - 1/10*c**5 + 0*c**2 - 141*c + 1/3*c**4 - 17/10*c**6 + 0. Find the third derivative of a(q) wrt q. -1224*q - 12 Let w(g) be the third derivative of 3679*g**5/60 + 247*g**4/3 + g**3/6 + 1177*g**2. Find the second derivative of w(y) wrt y. 7358 Let u(k) = 3*k - 1931 + k + 3*k - 477*k**2 + 1604. Let g(m) = 159*m**2 - 2*m + 109. Let h(x) = 7*g(x) + 2*u(x). Differentiate h(s) with respect to s. 318*s Find the second derivative of 20 - 11729*h**2 - 1315*h - 20 - 413*h**2 + 3959*h wrt h. -24284 Let n = 33 - 31. Find the second derivative of n - 22*t**2 + 35*t**2 + 28*t**2 + 3*t - 4*t wrt t. 82 What is the second derivative of 78 - 871 + 793 - 5136*x + 9667*x**5 wrt x? 193340*x**3 Suppose 0*b - 4*b - 273 = -5*o, -4*o + b = -225. Find the third derivative of o*p**3 + 0*p**3 + 19*p**2 + 46*p**2 - p**3 wrt p. 336 Let f be (-321)/963*0/(-1). Let j(l) be the second derivative of f*l**4 - 3*l + l**5 + 0 + 23/2*l**2 + 0*l**3. Differentiate j(s) wrt s. 60*s**2 What is the third derivative of -225*z**3 - 426*z**3 - 644*z**2 + 56*z**2 - 52*z**2 - 170*z**2 wrt z? -3906 Differentiate -12*v**3 + 201 + 253 + 24*v**3 + 20*v**2 - 4*v**3 + 307 with respect to v. 24*v**2 + 40*v Let t(q) = -4514*q**2 + 34*q + 40390. Let c(f) = 645*f**2 - 5*f - 5769. Let j(x) = -27*c(x) - 4*t(x). What is the derivative of j(d) wrt d? 1282*d - 1 Let s = 32 + -44. Let r be (-16)/s*162/2. What is the first derivative of -23 - r*a**3 + 7 + 118*a**3 wrt a? 30*a**2 Let z be (8 + 198/(-45))/((-6)/(-200)). Find the second derivative of z*s**3 - 49*s + 76*s**3 - 10*s + 5*s wrt s. 1176*s Let b be ((-330)/50)/((-3)/75). Differentiate 24*y + 24*y + b + 7*y**3 - 65*y + 22*y wrt y. 21*y**2 + 5 Let i = 105 - 93. Suppose 0 = -7*b + 6*b + i. Find the third derivative of -4*m**2 - b*m**3 - m + 8*m - 5*m wrt m. -72 Let z = 77 + -68. Let i(w) be the first derivative of 25*w**2 - 16 + 31 - 28*w - z. What is the derivative of i(h) wrt h? 50 Find the first derivative of 2270 + 2552*q**3 - 1416 + 2123*q**3 wrt q. 14025*q**2 Let l(y) = y**2 - 18*y - 23. Let j be l(19). Let t(i) = -7*i - 12. Let m be t(j). Differentiate -8 - 10 + m*a + 2 with respect to a. 16 Let x(y) = -1623*y**2 + 7*y - 316. Let c(v) = -3243*v**2 + 15*v - 633. Let j(a) = -6*c(a) + 13*x(a). What is the second derivative of j(u) wrt u? -3282 Suppose 19 = x + 2*n, 10*n + 43 = 4*x + 7*n. Find the second derivative of -x + 50 - 130*l**5 - 9*l**5 - l wrt l. -2780*l**3 Find the first derivative of -3*r**3 + 2*r**3 + 331*r**4 - 41686 + 43155 + r**3 wrt r. 1324*r**3 Differentiate -3777*m**4 - 3775*m**4 + 7535*m**4 + 3829 + 5*m - 441 wrt m. -68*m**3 + 5 Let y(m) = 7548*m + 6627. Let b(q) = 3770*q + 3313. Let v(k) = 7*b(k) - 4*y(k). What is the derivative of v(n) wrt n? -3802 Let d be (5 + -95)*1/(-2). Find the second derivative of 5*u**3 - 31*u**3 - 3*u - 16 + 27*u**3 + d*u**2 wrt u. 6*u + 90 Let k(s) = 3*s + 0*s + 8*s + 29*s**2 + 13 + 12*s. Let n(d) = -5*d**2 - 4*d - 2. Let l(g) = 6*k(g) + 34*n(g). What is the second derivative of l(a) wrt a? 8 Suppose -7*i - 544 = -558. Find the third derivative of 22*c**2 - 206*c**i + 12*c**2 + 2*c**5 + 7*c**3 wrt c. 120*c**2 + 42 Let l = 6/10777 - -10741/64662. Let z(a) be the third derivative of 0 - 6*a**2 - 7/6*a**4 + l*a**3 + 0*a. Find the first derivative of z(m) wrt m. -28 Let u(k) = -12*k - 28. Let r be u(-3). Let w(p) = p**3 - 5*p**2 - 6*p + 8. Let t be w(6). What is the first derivative of 22*h**2 - t*h + 13 + 0*h + r*h wrt h? 44*h Suppose 5*p + i = 20, -2*p + 15 = 2*i - 3*i. Suppose 0 = p*s - 0*s - 115. What is the derivative of 2*l - 5 + 8*l + s*l**2 - 10*l wrt l? 46*l Let w(q) be the third derivative of 65*q**6/4 - q**5/30 - 2815*q**4/24 - 5*q**2 - 40. What is the second derivative of w(h) wrt h? 11700*h - 4 Find the third derivative of -5*d**4 - 6*d + 4*d - 49 + 15*d**3 + 172*d**2 - d + 48 + 5*d - 38*d
{ "pile_set_name": "DM Mathematics" }
20/61568)/((-10)/4) -11/16 Evaluate (-2)/(-364)*85*742/13515. 1/39 Calculate ((-2)/3)/(826/1062*42). -1/49 Evaluate -196*(413/(-4543))/((-8)/(-22)). 49 ((-2)/(-378)*18)/(4*(-3)/18) -1/7 What is ((-1)/10*-4)/((-8288)/290080)? -14 Evaluate 71/(3124/(-66))*-39*(-8)/18. -26 Evaluate -165*5/(-175)*(-5)/(5/(-7)). 33 (6/(-9))/(57625/1383) -2/125 Calculate (275/75)/((-528)/(-7776)). 54 What is (-1*2)/((4/8)/((-986)/232))? 17 Calculate ((-732)/(-305))/((-32)/360). -27 Calculate (8*5)/(((-4165)/(-294))/(-17)). -48 What is (8/140)/((1595/(-17864))/(((-2)/(-8))/1))? -4/25 What is (77/(2926/3420))/2? 45 Calculate (297/66)/((-18)/10)*656/(-20). 82 What is the value of 1/((-423)/1598*(-51)/9)? 2/3 What is the value of ((-4)/48*-4)/((-2)/24*2/(-36))? 72 What is the value of 13/(312/(-54))*27/(12393/36)? -3/17 126/126*((-32)/4)/72 -1/9 What is the value of ((-480)/1500)/(72*(-31)/620)? 4/45 (10/(-12))/(13095/6984*(-8)/(-186)) -31/3 -49*-13*1012/8372 77 Calculate (-14*7/196)/((-245)/(-40)*2). -2/49 Calculate ((-5)/12)/(-1495*(-88)/(-12144)). 1/26 Evaluate (-168)/(-24)*(2/(-6))/(28/432)*2. -72 Evaluate ((-1327)/18578)/(15/(-28)). 2/15 What is 43/((-2451)/396)*(-494)/(-52)? -66 Evaluate 22/(-18)*15*(-939)/(-4695). -11/3 -30*((-42)/(-140)*(-20)/(-30))/((-4)/68) 102 What is the value of ((3/64)/(198/(-44)))/((330/40)/(-33))? 1/24 Calculate (4/16*7/(63/120))/(12925/201630). 52 Calculate 2*(18/(-144))/((-9)/936). 26 Calculate ((-1)/1)/(((-75)/(-275))/((-33)/(-242))). -1/2 What is the value of ((-2)/(-3))/(184/(-18)*429/286)? -1/23 What is the value of (-54)/(-468)*(-11)/4*5928/(-836)? 9/4 What is the value of (61/(244/(-72)))/(7/(28/(-30)))? 12/5 Calculate (-1000)/600*(148/25)/((-30)/(-225)). -74 (1*2)/(4443/173277) 78 Calculate ((9/(-12))/((-90)/120))/((-39)/(-156)). 4 Calculate ((364/(-112))/((-3)/27*3))/(2/(-8)). -39 What is the value of (-296*(-384)/1326080)/((-10)/(-56))? 12/25 What is 24/(-22)*(-4026)/(-244)*(-55)/15? 66 What is the value of ((-30)/2820)/((-21)/223062)? 113 What is the value of ((-5115)/(-715))/((-300)/(-2600))? 62 Evaluate ((-2)/(-20))/(28/21)*46/207. 1/60 What is (300/6)/(100/(-50))? -25 Calculate ((-64)/(-224)*-14)/(4/(28/7)). -4 What is the value of (-40600)/(-290)*2/((-24)/3)? -35 Calculate 31044/1990*(-10)/9*(540/8)/15. -78 Evaluate ((-17)/(-10))/((-54)/20520*38). -17 98670/108537*(-528)/(-10) 48 What is the value of 5/((-595)/63)*(-169)/(4225/50)? 18/17 ((-18)/10*(-32)/168)/((-104)/260) -6/7 (-18)/(-5)*(-33)/286*650/390 -9/13 What is -25*2/(-30)*((-3450)/625)/(5/(-25))? 46 Calculate ((-24304)/168)/(-62)*(-6)/469. -2/67 1225/(-1300)*(576/(-42))/12 14/13 18/((1/((-64)/(-96)))/(5/(-2))) -30 (8/(-4)*22/(-16))/(((-10912)/64)/(-31)) 1/2 (106/265)/(30/(-750)*(-10)/88) 88 Evaluate 36/((-14904)/(-69))*18/4. 3/4 (6/324*-6)/((-434)/(-74214)) -19 Calculate (1/4)/((-1)/(-266)*63*(-62)/1116). -19 Calculate (12/20)/((-22)/660). -18 Calculate (-68)/2176*48*2/(-50). 3/50 Evaluate (1/2)/(-1305*(-26)/(-936)). -2/145 Calculate (-10)/(-6)*(-143)/((-5511220)/1128). 2/41 What is ((-5)/(-455)*104)/(-92*(-3)/42)? 4/23 Evaluate 45/50*((-2)/4)/(99/(-22)). 1/10 Calculate (-42)/(-868)*31*(-8)/(144/15). -5/4 Evaluate 12/(-846)*54/72*12*4/(-6). 4/47 Evaluate (72/((-13176)/305))/((-16)/(-12)*10/(-192)). 24 Calculate (84/(-7749))/(-3*((-28)/63)/((-2)/1)). 2/123 (-51)/(-204)*-28*135/15 -63 ((-12474)/(-63))/99*2/402*-1 -2/201 What is the value of ((24/2)/((-60)/(-16)))/((-46)/(51750/45))? -80 What is 9/2220*(-248)/372*(-4)/(-1)? -2/185 Calculate (-3)/(-8)*(-15476512)/(-69924). 83 Calculate ((-69)/(-13248))/((-129)/(-34056)). 11/8 What is the value of 3/(-152)*1*((-82)/4)/((-5207)/508)? -3/76 What is the value of 28/(-12)*9180/(-5796)*-23? -85 Calculate (1*4)/(((-15)/(495/44))/((-64)/(-5088))). -2/53 What is 1592/(-1194)*24/(-656)? 2/41 Evaluate (((-3360)/(-200))/(-14))/(42/(-7)). 1/5 -12*(20/14)/(-5)*41/(-328) -3/7 What is (29*-1)/(-23*(-80)/(-16560))*1/(-3)? -87 Calculate ((-23)/253*-22)/((-2)/(-1)*(-7)/(-203)). 29 What is (-539)/22*2*2/(-42)*(-666)/(-37)? 42 ((-258)/(-86))/(((-2)/((-32)/(-36)))/(-24)) 32 Evaluate ((-45)/5)/9*11/33*-171. 57 ((-845)/507*(-18)/(-40))/(-2*276/(-64)) -2/23 -4*(-1)/8*(3/351)/(429/3718) 1/27 What is 1214/3035*(-5)/(-10)? 1/5 What is (2838/(-1720))/((-237)/395)? 11/4 What is (66/(-231))/((-99)/(-924))? -8/3 ((-75)/(-40))/(14/(504/81))*224/42 40/9 Calculate (-144)/15*2040/(-120768). 6/37 What is the value of (-68)/(-17)*(550/(-225))/(2/(-18))? 88 Calculate (243/(-99))/(8/440*-5). 27 What is (90/24)/((-4)/(-6)*3*9/(-144))? -30 Evaluate ((-148)/666)/((-4)/18)*(-165)/25. -33/5 Calculate ((-1548)/1584)/((-24)/1056). 43 What is (-8)/3*(-100)/4*667/6670? 20/3 What is 25*(5/(-45))/((-200)/(-720))? -10 What is the value of 8/(1560/6201)*20*2/96? 53/4 63210/(-8428)*(56/10)/(-1
{ "pile_set_name": "DM Mathematics" }
Suppose 20 = -4*s - h, 0*h + 22 = -3*s + h. Let n = s - -1. Let q(j) = j. Give q(n). -5 Let c(f) = 3*f. Suppose 0 = -7*s - 10 - 4. Give c(s). -6 Let q(t) be the second derivative of -5/2*t**2 + 1/3*t**4 + 1/6*t**3 - 2*t + 0 - 1/20*t**5. Determine q(4). -1 Let g = -14 + 10. Let r(u) = -5*u**2 - 6*u - 3. Let z(i) = 4*i**2 + 6*i + 2. Let m(l) = g*z(l) - 3*r(l). Calculate m(-4). 9 Suppose 0 = 5*y + 20, -x - 5*y = -5 + 21. Let h(q) be the first derivative of -q**2/2 - 17. Determine h(x). -4 Let d be (-8)/12 + 8/3. Let m(n) = -2*n**2 - d*n + n + 7*n**2 + 1. Give m(1). 5 Let o be 2/(1/4*2). Suppose -3*m - 2*d - 2 = 0, -1 = -5*m - o*d - 5. Let z(g) = g**2 + 1. Let u(n) = n**3 + 2*n**2 - n. Let p(h) = u(h) - z(h). What is p(m)? -1 Let j be (33/9 - 2)*3. Let n(c) = c**2 - 1 + 3 + j*c - c. Suppose 2*i + 8 = q, 3*i + 16 = -3*q - 5. What is n(i)? 7 Let o(b) = 2*b**2 + 13*b - 21. Let h be o(-8). Let u(p) = p**2 - 3*p - 3. Determine u(h). -3 Suppose 5*t = 5*f - 10, 5*f - 3*t - 8 = -0*t. Let o(r) = 12*r**3 + r**2. Calculate o(f). 13 Let h(d) = -5*d + 1. Let g(p) = -p. Let n(i) = -6*g(i) + h(i). Suppose -5*j + 16 = 1. Let f(t) = 3*t - 4. Let s be f(j). Calculate n(s). 6 Suppose z + z - 6 = 0. Let n(i) = i - z*i + 7 + 5*i - 6. Give n(-2). -5 Let q(b) = b**3 - 4*b**2 - 3*b + 4. Let r(w) = w**2 + 2*w - 20. Let z be r(-6). Determine q(z). -8 Let m(i) = i**2 - 8*i + 12. Let f be m(5). Let y(g) = -g**3 - 4*g**2 - 2*g. Calculate y(f). -3 Let b(w) = -w - 2. Suppose 5*f + 0*f = -2*r + 16, 4*r + f = 14. Suppose -4*o + 16 = -o + 5*g, 0 = 5*o + r*g. What is b(o)? 1 Let y(s) = -s - 5. Let b be y(-5). Let r be b/2*2/(-4). Let q(v) = v + 6. Give q(r). 6 Let y(r) = -2*r + 15. Let c(h) = 3*h - 22. Let s(i) = 5*c(i) + 7*y(i). What is s(6)? 1 Let s(l) = l**2 + 3*l + 3. Suppose 35 - 5 = 5*i. Let y be (-10)/(-30) - (-5)/3. Suppose 0 = 4*b - y*b + i. Determine s(b). 3 Let m(o) = -o + 8. Suppose -5*l = -2*l. Let q be m(l). Let p(f) = f**3 + 2*f**2 - 3*f**2 + f + q*f**3. What is p(1)? 9 Let f be 1 - 1 - (0 - 1). Suppose 2*j = 11 - f. Let y(q) = -q + 10. Determine y(j). 5 Let u = 46 + -38. Let d(l) = 2*l - 10. Determine d(u). 6 Suppose -6*x - 12 = -10*x. Let c(v) be the first derivative of v**4/4 - v**2/2 - 1. Let j(t) = 6*t**3 - 2*t**2 - 9*t + 4. Let m(y) = 5*c(y) - j(y). Give m(x). -1 Let h(c) = 3*c**3 + c**2 - 12*c - 4. Let t(r) = -2*r**3 - r**2 + 8*r + 3. Let l(y) = 5*h(y) + 8*t(y). Let p be 2/(-8) - 11/4. Calculate l(p). -8 Let o(f) be the first derivative of f**3/3 + 2*f**2 + 2*f + 8. What is o(-4)? 2 Let y(c) = c - 3. Let j = -5 - 26. Let t = j - -15. Let k be (t/6)/((-4)/6). What is y(k)? 1 Let p(r) = -r**2 + 3*r + 4. Let m = -23 - -20. Give p(m). -14 Suppose 2*k - 5 = -1. Let y(v) = -2 - 3 - k + v. What is y(5)? -2 Let w(r) = -r - 11. Let h be w(-14). Let g(x) = 10 + 4*x - 6*x - h. Give g(6). -5 Let a(w) be the third derivative of w**4/24 - 13*w**2. Give a(-2). -2 Let j(w) = 2 + w**2 + 2*w - w + 1. Let r be (0/((-4)/(-2)))/(-2). Suppose i + 2 = r, -3*y = y + 4*i + 8. Determine j(y). 3 Suppose -3*i - i = -12. Let q(h) be the first derivative of -h**4/4 + 2*h**3/3 + h**2/2 + 2*h + 9. What is q(i)? -4 Suppose 5*w + 5*n = 2*w - 18, 0 = 4*w + 4*n + 24. Let o(d) = -2*d - 9. What is o(w)? 3 Let r(h) = -2*h**3 + h**2 - 7*h + 2. Let v(g) = -g**3 + g**2 - g + 1. Let c(k) = -r(k) + 3*v(k). Let x = 4 + 10. Suppose -3*w + x - 5 = 0. Give c(w). 4 Let o = -7 + 13. Let t(a) = -a - 4 + 3 - a**2 + o. Let v = -13 - -9. Give t(v). -7 Let p be (8/(-3))/(3/(-9)). Let j(s) = p*s - 5*s**3 + 3*s**3 - 14*s**2 - s**3 - 17. Let k(v) = -v**3 - 5*v**2 + 3*v - 6. Let t(n) = 4*j(n) - 11*k(n). Give t(0). -2 Let d(y) be the second derivative of 1/3*y**3 + y - 1/12*y**4 + 0 - 1/2*y**2. Give d(2). -1 Suppose 0 = k + 2*x - 2, -3*k - x - 12 = -4*x. Let m(z) = -4*z - 7 + 4 - z**2 - 5. Let h(g) =
{ "pile_set_name": "DM Mathematics" }
third derivative of 4 - 16 - 13*l**y + 12 - 14*l**2 wrt l? -312*l Let m be 3*(1 - (-2)/(-6)) - -309. Find the first derivative of m*v**4 + 58*v**4 - 147*v**4 + 130 wrt v. 888*v**3 Let f(a) be the third derivative of -349*a**7/105 + 193*a**5/60 + a**4/4 - 110*a**2 + 3*a. Find the third derivative of f(d) wrt d. -16752*d Suppose 2*c + 2702 = 16*c. Find the first derivative of c + 436*m**2 + 439*m**2 - 869*m**2 + 3*m wrt m. 12*m + 3 Let w(s) = -1. Let q(i) = 5*i - 8. Let z(v) = q(v) - 5*w(v). Let c be z(1). Find the first derivative of -22*k**c + 18 - 28*k + 28*k wrt k. -44*k Let y(o) be the first derivative of 92/3*o**3 + 2/5*o**5 + 70 - 6*o + 0*o**4 + 0*o**2. Differentiate y(x) wrt x. 8*x**3 + 184*x Let g be -1 - (-2 - -3) - (2 - 8). Suppose 3*r + 3*f - 8 + 2 = 0, -g = -2*r - 4*f. What is the derivative of -44*x - 2*x**2 + 25*x + 5*x**r + 20*x + 7 wrt x? 6*x + 1 Let v = 48 + -46. What is the third derivative of 2*d**4 - 1 - 2*d**2 + v*d**4 + 3*d**4 - 8*d**4 wrt d? -24*d Suppose 4*b - 456 = -4*v, 10 + 15 = 5*b. Let w = v - 106. Find the third derivative of -32*u**2 - 40*u**3 + w*u**2 + 5*u**2 wrt u. -240 Let m be (-186)/31 + (8 - 2). Let s(o) be the first derivative of 4 - 29/4*o**4 + 0*o**3 - 11*o + m*o**2. What is the derivative of s(x) wrt x? -87*x**2 Let r(n) = -69*n**2 + 4*n + 26. Let o(c) = 13 + 3*c - 215*c**2 - 306*c**2 + 12 + 452*c**2. Let t(w) = -4*o(w) + 3*r(w). Differentiate t(b) with respect to b. 138*b Let a(q) be the second derivative of 118/3*q**3 + 0 + 30*q**2 + 100*q. Find the first derivative of a(i) wrt i. 236 Let f(j) be the second derivative of -317*j**5/5 + 1887*j**2/2 + 21*j + 34. Differentiate f(b) with respect to b. -3804*b**2 Suppose 21*s - 4 = 59. Find the first derivative of 412*o - 189*o - 3 - 161 - 200*o - o**s wrt o. -3*o**2 + 23 Let i = -327 + 330. Find the first derivative of 71 - 16*v**2 + 5*v + i*v**2 + 21 + 164 + 4*v**2 wrt v. -18*v + 5 Suppose 20 = 2*j + 3*w, -2*w + 25 + 15 = 4*j. What is the second derivative of h**5 + 2 - 41*h + j*h**3 + 75*h - 32*h wrt h? 20*h**3 + 60*h Suppose -z + 23 = b - 21, 5*z = -b + 224. What is the second derivative of 19*i**3 + 9*i**3 + 28*i**3 + 18*i**3 + z*i wrt i? 444*i Suppose 0 = -9*t + 4*t + 440. Let c = t + -83. Find the second derivative of -27*i**4 + 27*i**c + 27*i**4 - 7*i - 3*i wrt i. 540*i**3 Let d(t) = t**3 - 10*t**2 + 8*t + 14. Let p be d(9). What is the derivative of 211*v - p + 36 + 139 - 9*v wrt v? 202 Let r(s) = 18*s**3 - 2*s**2 + 4*s - 2. Let a be r(1). What is the second derivative of a*c**3 - 2 + 20*c + 28*c - 91*c + 19*c wrt c? 108*c Let c(z) be the second derivative of -3265*z**4/6 - 3682*z**2 + 4020*z. Differentiate c(j) with respect to j. -13060*j Let r(t) be the third derivative of 2107*t**5/60 - 499*t**4/4 - t**2 + 1507*t. What is the second derivative of r(o) wrt o? 4214 Let f be -19 - 16/(-6 - -2). Let w be (35/f - -3)/((-2)/(-24)). What is the second derivative of -10*i + 12*i - 25*i + w*i**3 wrt i? 48*i Let t = -14 + 56. Suppose t*u + 6 = 44*u. What is the derivative of -16 - 12 - u + 4 + 27*p**2 wrt p? 54*p Find the second derivative of -435 + 2*l + 28*l**4 - 43 + 858*l**4 + 138*l**4 + 247*l**4 wrt l. 15252*l**2 Let m(q) = -4*q + 26. Let n be m(6). What is the second derivative of n*b + 44 - 4*b**3 + 12*b**3 + 43 + 2*b**4 - 85 wrt b? 24*b**2 + 48*b Find the third derivative of 15*w + 58*w**3 + 16*w**6 - 18*w**2 - 3*w**6 + 58*w**3 - 115*w**3 - 4*w wrt w. 1560*w**3 + 6 Let a(h) = 85*h - 13. Let m be a(1). Differentiate -28*i**4 + 80*i**4 + m*i**4 + 49*i**4 + 208 + 31*i**4 wrt i. 816*i**3 Let o be (-10)/35*(-14 + 0). Find the third derivative of 9*y**o + y**2 - 5*y**4 - 15*y**4 - 6*y**5 + 1 wrt y. -360*y**2 - 264*y Let k(u) = u**3 + 19*u**2 + 18*u + 2. Let d be k(-18). Suppose -d*x + 7 = 1. What is the third derivative of l**3 + 13*l**3 - 20*l**2 - 23*l**x wrt l? -54 Find the first derivative of -5015*t**2 + 2163 - 3216*t**2 - 2215 + 2043 + 2113 wrt t. -16462*t Let d(q) = 65*q**2 + 15*q - 874. Let c(v) = -v**2 + 2*v + 15. Let w(u) = -6*c(u) + d(u). Differentiate w(b) with respect to b. 142*b + 3 Let x(g) be the second derivative of -778*g**7/21 - 1661*g**4/12 + 6*g - 42. Find the third derivative of x(k) wrt k. -93360*k**2 Let g(p) = p**2 + 6. Suppose -7*q + 9 - 58 = 0. Let z be g(q). Find the second derivative of -55 + z - 11*m**2 + 5*m wrt m. -22 Let d(l) = 19*l + 79. Let j(i) = -55*i - 236. Let r be 7*2/((-12)/6). Let g(h) = r*d(h) -
{ "pile_set_name": "DM Mathematics" }
. Let s = h + 44. Does 6 divide s? True Suppose -3*u + 5*s + 1787 = 0, -4*u - 4*s + 559 = -1781. Suppose 2*q = g + u, -q + 0*g = 3*g - 305. Does 11 divide q? False Let n(i) = -26*i + 207. Is 6 a factor of n(7)? False Let m(q) = -128*q - 3. Is 12 a factor of m(-1)? False Suppose -5*c + 7*w + 591 = 4*w, 3*c - 4*w = 348. Is 8 a factor of c? True Let n = -5 + 3. Let z(i) = -3 - 14*i - 1 + 3. Is z(n) a multiple of 27? True Let s = 5 - 6. Let d(q) = 3*q**2 + 2*q**2 + 2*q**2 + q + q**2 + 2. Does 5 divide d(s)? False Let u(b) = -2*b**2 - 16*b + 20. Does 11 divide u(-6)? True Let z(n) = -n - 1. Let c(d) = 2*d + 59. Let j(i) = c(i) + 3*z(i). Does 34 divide j(22)? True Does 13 divide 8/22*146685/210? False Suppose 2*w + p - 2623 = 0, 91*p - 88*p = -w + 1314. Is w a multiple of 11? False Let a(b) = 3 - b**2 + 6*b + 3*b**2 - 4*b. Is a(3) a multiple of 27? True Let t(h) = -h**2 + 7*h. Let p be t(6). Suppose -n = -p*n. Suppose 3*f - 384 + 102 = n. Does 28 divide f? False Suppose -7*g - 4*r - 1484 = -9*g, -4*g = 3*r - 2957. Is 70 a factor of g? False Suppose 0 = 3*n + n. Suppose -2*a + 2*d = -7*a + 28, n = 2*a + 5*d - 7. Is a a multiple of 4? False Let t(f) = -f**2 - 10*f - 9. Let l be t(-8). Let y be ((-4)/l)/(10/(-35)). Let s = 6 + y. Is 3 a factor of s? False Let c(z) = 11*z - 3. Let n = -47 + 52. Is 7 a factor of c(n)? False Let o be 4/14 - (-656)/56. Let s be (28/3)/(4/o). Suppose 3*j - 188 = s. Does 18 divide j? True Suppose 16 = i - 2*q, -4*q + 39 = -3*i + 91. Is 3 a factor of i? False Suppose 4*j = 3*i - 724, -5*i = -j - 1644 + 409. Is i a multiple of 8? True Let j = 2788 + -214. Does 11 divide j? True Let n(a) = a**2 + a + 175. Does 35 divide n(0)? True Suppose -3*d + 76 = -104. Suppose p - 274 = -4*h, 2*h + 4*p - 70 = d. Is 33 a factor of h? False Suppose -55 = -5*q - 3*t, -3*q - t + 18 = -11. Suppose -q = -4*j, 0*o = 4*o - 4*j - 172. Does 15 divide o? True Let r(o) = 6*o**2 + 15*o + 26. Is r(-8) a multiple of 3? False Suppose w = -2*x + 208, -3*x + 4*x - 122 = 4*w. Suppose x = 2*a - 70. Is a a multiple of 13? False Suppose 3*l = -p + 32, -4*l + 24 = -5*p - 6. Suppose -r - r = -l. Suppose -r*t + 2*t + 72 = 0. Does 6 divide t? True Let x(h) = 3*h**2 - 3*h - 22. Is 11 a factor of x(-7)? False Let w = 2078 + -542. Is 24 a factor of w? True Is 29 a factor of (-1285)/(-2) - 18/4? True Suppose -22948 - 37469 = -49*a. Is a a multiple of 96? False Suppose -31*u + 78182 = -5*u. Does 37 divide u? False Let v(c) = -c**3 + 7*c**2 + 2*c. Let o(k) = -3*k - 12. Let m be o(-6). Let n be v(m). Let l = n - 28. Is 7 a factor of l? False Let r(g) = 6 - 2*g + 2*g**2 + g + 13*g - 4*g. Does 14 divide r(4)? True Suppose -128 = -v + 27. Let d = 248 - v. Is 21 a factor of d? False Let z(g) = -3*g**3 + 55*g**2 - 14*g + 56. Is z(18) a multiple of 8? True Let t = 3 + 2. Suppose 0 = t*z + 3 + 27. Is 33 a factor of (3 - (-20)/z)*-195? False Does 34 divide (1/((-6)/(-26)))/(2/264)? False Let u be ((-2)/(-3))/(2/9). Suppose -u*z + 153 + 16 = 2*a, z = 5*a - 397. Suppose 4*b + 4*g = a, 2*b - 3*g = 53 + 7. Does 7 divide b? False Suppose 3*i + 105 = y, 6*y - 480 = 2*y - 3*i. Suppose -245 + y = -4*n. Is 8 a factor of n? True Is 16 a factor of (-54)/36 - 2/4*-451? True Let t be 10 - 11 - 18/(-2). Suppose n = t*n - 630. Suppose 10 = -2*f + n. Does 11 divide f? False Suppose -275 = -4*t + 5*q, t + 0*q + 3*q = 73. Does 21 divide (588/t)/(4/10)? True Suppose -9*p + 12*p = -2*s + 774, 2*s - 764 = 2*p. Is 24 a factor of s? True Let t(r) = -3*r**3 + 14*r**2 + 8*r - 17. Let j be t(5). Let o be (28/2)/((-2)/(-1)). Let a = o + j. Is 5 a factor of a? True Suppose 5*c = 147 + 128. Suppose 0 = 3*l + 4*i - 41, -c = -5*l + l - 5*i. Is l a multiple of 10? False Let x(s) = 124*s**2 + 5*s - 10. Is 7 a factor of x(-3)? False Suppose -3*y = -3, -3*y - y + 3854 = 5*s. Is 11 a factor of s? True Let w = 1375 + 1021. Is 11 a factor of w? False Let b(w) = -w**3 - 7*w**2 - 2*w - 9. Let m be b(-7). Suppose 0 = m*x - 187 - 243. Is x a multiple of 28? False Let h = 12 - -6. Let g = h - 17. Is -2 - g - (-49 + 5) a multiple of 12? False Let a = -149 + 242. Let j = 135 - a. Suppose 3*g - j = 36. Is 7 a factor of g? False Suppose -10 = -o - 6. Suppose -x = s + x - 90, o*x + 12 = 0. Does 24 divide s? True Suppose 4*r - t - 3116 = 0, -3*t = -19*r + 15*r + 3108. Is 13 a factor of r? True Let z(i) = i**3 - 6*i**2 + 4. Suppose 0 = -5*v - 7 + 37. Let p be z(v). Suppose -p*j = -20, -l + j = -0*j - 4. Is 5 a factor of l?
{ "pile_set_name": "DM Mathematics" }
**2 - 73*w**3 + 110 + 5*w**4 wrt w? 20*w**3 + 10*w What is the third derivative of n**3 - 185*n**5 - 10*n - 2*n + 2*n + 6*n**2 - n**2 - 14*n wrt n? -11100*n**2 + 6 Let r(c) be the first derivative of c + 36. Let a(w) = -73*w**2 - 64*w - 5. Let s(o) = -a(o) - 5*r(o). What is the second derivative of s(h) wrt h? 146 Let h(j) = 180*j**2 - 11*j - 2127. Let g(q) = -89*q**2 + 6*q + 1075. Let c(w) = -9*g(w) - 5*h(w). What is the derivative of c(t) wrt t? -198*t + 1 Let f(u) = -8*u**3 + 6*u**2 + 1163*u - 5235. Let n(k) = -38*k**3 + 28*k**2 + 5812*k - 26174. Let m(z) = -14*f(z) + 3*n(z). Differentiate m(v) with respect to v. -6*v**2 + 1154 Suppose -2*l + 8*l = -0*l. Suppose -4*y + 2*f + 13 + 1 = l, 5*y + 3*f - 34 = 0. Find the first derivative of y - 4*m + 20*m - 5 + 3 wrt m. 16 Let w(f) = -f**3 - 3*f**2 + 11*f + 9. Let c be w(-5). Differentiate 23*h**3 - 23*h**3 + 11*h + h + 41 + h**c wrt h. 4*h**3 + 12 Find the first derivative of 613*a - 1263*a - 1169 + 555*a wrt a. -95 Let i(p) be the first derivative of 145*p - 142 - 11/2*p**2. Differentiate i(r) with respect to r. -11 What is the third derivative of 4*b**5 - 48*b**3 + 46*b**3 - b**2 - 77 + 93*b**5 + 29*b**5 - 19*b**5 wrt b? 6420*b**2 - 12 Let j(k) be the first derivative of 806*k**2 - 1272*k + 668. What is the first derivative of j(o) wrt o? 1612 Let y(i) be the third derivative of 709*i**9/504 - i**8/168 - 54*i**5/5 + 6*i**2 - 298. What is the third derivative of y(d) wrt d? 85080*d**3 - 120*d**2 Let s(l) = 5825*l**3 + 757*l + 18. Let h(m) = -647*m**3 - 84*m - 2. Let b(g) = -38*h(g) - 4*s(g). Find the second derivative of b(q) wrt q. 7716*q Let n be (2 + 1/(-2))*(1 + -31). Let i = n - -47. Find the second derivative of 87*y**i - 5*y**3 - 87*y**2 - 15*y wrt y. -30*y Let q(d) = -62735*d - 66510. Let o(k) = -5228*k - 5542. Let c(z) = 35*o(z) - 3*q(z). Differentiate c(w) with respect to w. 5225 Suppose 3*o + 5*c - 28 = 2*o, -25 = -5*c. Find the third derivative of 7*y**3 + 2*y - y**o - 37*y**4 + y**2 + y**3 - 5*y**3 - 31*y**4 wrt y. -1632*y + 12 Suppose -586 = -10*i + 1724. What is the first derivative of 231*t**3 + 278533*t + i - 17 - 278533*t wrt t? 693*t**2 Find the third derivative of -367*a**2 + 1174*a**2 - 3 - 1257*a**3 - 413*a**2 - 561*a**2 + 15 wrt a. -7542 Suppose -2*j = -4*j + 8. Suppose 3*o - 40 = -j. Find the second derivative of 15*q**5 - o*q + 21*q - 39*q**5 wrt q. -480*q**3 Find the second derivative of 356*o + 25 + 1021*o**5 - 3 - 6 - 15 wrt o. 20420*o**3 Let x be 128/(-80)*5/2. Let r(m) = 32*m**2 - 3*m + 215. Let y(j) = 11*j**2 - j + 72. Let w(g) = x*r(g) + 11*y(g). Differentiate w(l) with respect to l. -14*l + 1 Let o(u) be the second derivative of 0 - 29/12*u**4 + 0*u**2 + 0*u**3 - 89*u + 93/20*u**5. Find the third derivative of o(p) wrt p. 558 Let v(y) be the third derivative of -1967*y**5/30 + 643*y**3/2 + 2*y**2 - 10*y + 1. What is the first derivative of v(u) wrt u? -7868*u Suppose 62 = 3*c + 3*s + 5, -5*s + 67 = 3*c. What is the first derivative of c + n + 8*n + 6*n wrt n? 15 Let y(p) be the third derivative of 1013*p**6/120 + 539*p**4/8 - 2*p**2 - 426*p. Find the second derivative of y(w) wrt w. 6078*w Suppose -3*h - 5*v = -31, -2*v = -158*h + 161*h - 16. Suppose 2*d + 1 = 7. Differentiate -6 - 9 - 6*c**h - 11 + d with respect to c. -12*c Let v be (-660)/(-770) - (-2200)/14. What is the second derivative of -206*y**2 + v*y**2 - 5*y - 281*y**2 wrt y? -658 Let w be -7*(22/14 + -28 + 26). What is the derivative of 16 + 41 + 4*z + 108 - 12*z**w - 3*z wrt z? -36*z**2 + 1 Differentiate -868 + 131*p**4 + 152 - 154*p**4 - 132*p**4 - 313*p**4 with respect to p. -1872*p**3 Let m be 7 - (10/4)/(13/26). What is the derivative of -95 - 2*d - 11790*d**2 - 105 + 11750*d**m wrt d? -80*d - 2 Suppose -17 = 12*t - 41. Find the second derivative of -65*p**t - 9*p - 6*p + 31*p wrt p. -130 Suppose 2 = 2*v - 2, -3*v = 5*g - 26. Find the first derivative of -41*p**4 - 50*p**4 - p**4 + 2*p**2 + 45 + 9*p**4 + 11*p**g wrt p. -288*p**3 + 4*p Let d be (-65)/(-13) - 2/(-6)*-3. Suppose -2*w - 15 = -5*b, -w - d*b = -5*w. What is the third derivative of 27*a**2 + 45*a**5 + 43*a**w - 96*a**5 wrt a? -480*a**2 Let z(i) = -i + 11. Let m be z(7). Suppose -m*j + 4*s = -64, 2 = 3*j - 5*s - 52. Find the third derivative of -7*d**2 + 15*d**2 + 34*d**6 + j*d**2 wrt d. 4080*d**3 What is the second derivative of 37*o**5 + 2218*o**4 - 2*o**2 + 4*o - 4435*o**4 + 2*o**3 -
{ "pile_set_name": "DM Mathematics" }
pose 0 = s + s - 2*q - 90, 2*s + 3*q = 75. Let o = 217 - s. Is o a multiple of 25? True Suppose 4*i + 0*i = 1520. Is 38 a factor of i? True Let w be (-40)/(-16)*(-24)/15. Does 10 divide (-4)/(w/(-1))*-20? True Suppose -35*s - 4728 = -37*s - 2*x, 4*s = 2*x + 9486. Is 23 a factor of s? True Let b = -64 - -658. Is b a multiple of 5? False Let w(k) = k**3 - 2*k**2 - k + 249. Let m(y) = y**2 - 11*y + 10. Let f be m(1). Is w(f) a multiple of 19? False Let m be -1*3*8/(-3). Let l = m + -5. Suppose 5*t + y = 182, l*y = -5*t - 0*t + 186. Is t a multiple of 15? False Let n(p) = 18*p - 26. Is n(4) a multiple of 2? True Suppose 21 + 7 = 2*b. Let g = -12 + b. Is g even? True Let d(r) = r + 9. Let a be d(-6). Suppose 0 = 2*x - 6*x + 2*m + 186, -171 = -4*x - a*m. Does 10 divide x? False Suppose -7*n = -22 - 6. Suppose 0*a = -n*w + 2*a + 510, -5*a = -w + 141. Does 14 divide w? True Suppose -44 = 4*f + 140. Let l = -150 + 122. Let w = l - f. Does 9 divide w? True Let v be (-3)/2*(-104)/3. Suppose -3*u + w - 24 = 19, -4*u = 4*w + v. Let z = 6 - u. Is z a multiple of 9? False Let d be 0/((4 - -1) + -2). Suppose -8*b = -d*b - 128. Is 3 a factor of b? False Is 0*(-6)/60 + 0 + 27 a multiple of 3? True Suppose -3*g + 185 = -2*p, 3*g + 75 = -p - 31. Is 0*(-3)/9 - p a multiple of 14? False Let d(w) = 2*w**3 - 7*w**2 + 5*w + 15. Let m be d(9). Suppose -5*i - 206 = -m. Is (-3)/(-15) - i/(-5) a multiple of 17? False Suppose 12 - 58 = -4*h - b, -3*b = 3*h - 30. Let k(p) = p**3 + 11*p**2 + 13*p + 24. Let t be k(-10). Is t/1*(-14)/h a multiple of 7? True Let d be 1 + -2 + (12 - 9). Let s = 0 - -2. Suppose s*f = -d*f + 32. Is 8 a factor of f? True Let a = 13 + -7. Suppose 17 = 3*o + 5*w, 0 = 5*o + a*w - w - 25. Suppose -o*j = -109 + 5. Does 13 divide j? True Suppose 0 = -5*g + 4*g - 10. Let u(x) = -x**2 - 12*x + 26. Let c be u(-14). Is -4 + 410/(g/c) a multiple of 37? False Suppose 2*i + 0*i + 8 = 0. Is (-11 - i) + 4 + 15 a multiple of 5? False Suppose -5*m - 83 = -1883. Is m a multiple of 24? True Let v be 20/(-5) + -3 + -35. Let j = 58 + v. Does 3 divide j? False Is 6 a factor of -2 - -2 - 2869/(-19)? False Suppose 3*b + 46*j = 47*j + 1577, -3*b + 4*j + 1583 = 0. Is 5 a factor of b? True Let f(r) = -178*r**2 - 3*r + 4. Let a(j) = -355*j**2 - 7*j + 9. Let o(k) = 3*a(k) - 7*f(k). Is o(-1) a multiple of 12? True Let y be 64/11 - 10/(-55). Suppose 0 = 3*h - y*h + 12. Suppose -h*r - 27 = -5*r. Is 10 a factor of r? False Does 15 divide (-4 - 0)/(-4) - -214? False Let o = 35 - 36. Let h(d) = 4*d**2 + 2*d + 1. Let v be h(o). Does 2 divide v*(25/15 + 0)? False Let x = 13 - 5. Suppose 4*m + 3*q + 40 = x*m, -2*q = 2*m - 20. Let b(z) = 4*z - 1. Is b(m) a multiple of 13? True Let m = -624 - -771. Is m a multiple of 40? False Let u be ((-2)/4)/1 - (-95)/38. Suppose u*w - 86 = -4*v, 3*w + w - v = 208. Is 15 a factor of w? False Let g = 820 - 536. Is 8 a factor of g? False Suppose 12*i = -855 + 7575. Is i a multiple of 10? True Let q = 410 - 372. Is q a multiple of 19? True Suppose b = 2*x + 2, -x + 2*x = 0. Suppose -g + b*g = t + 68, -141 = 2*t - 3*g. Let r = 94 + t. Is r a multiple of 7? False Let p = -54 - -59. Suppose 49 = p*m - 181. Is 6 a factor of m? False Suppose 472 = 4*m + 4*j, -4*j = -m - 0*m + 143. Let x = 128 - m. Is 2 a factor of x? False Let p(v) = -2*v - 10. Let j be p(-10). Let y = 8 - j. Let b(m) = -m**3 + m**2 + m + 1. Is 3 a factor of b(y)? False Let k(b) = 181*b + 2496. Is k(0) a multiple of 39? True Let l(c) = -9*c + 16*c + 12*c + 16. Does 23 divide l(4)? True Let t be 4*(1 + -2)*1. Is 3 a factor of 8/5*(-70)/t? False Suppose -7*f + 2*f + 4*i = -27, -4*i - 9 = f. Let n = -3 + 6. Suppose -3*u = 12, f*u + 3 + n = -o. Does 5 divide o? False Suppose 2*s + 2613 = 5*s - 3*v, -s = -5*v - 855. Is s a multiple of 25? True Suppose 22 = 4*h + 2. Suppose 5*x - 191 = 4*l - l, 105 = 3*x - h*l. Does 20 divide x? True Suppose -7*b + 9*b = 4. Suppose 0*h + b*h - 500 = 0. Does 25 divide h? True Let s = 162 + 233. Is 13 a factor of s? False Suppose 5*r - 3*a - 216 = 0, -2*a = 3*r + a - 120. Suppose 2*f + 0*q = -q - 33, r = -2*f - 4*q. Does 6 divide (f + 10)*(0 - 4)? False Let b(f) = f**3 + 23*f**2 - 7*f + 34. Let h(t) = -1. Let p(u) = b(u) + 5*h(u). Does 19 divide p(-23)? True Suppose -5907 = -5*d + 5133. Does 12 divide d? True Suppose 0 = m + 3*u - 190, 2*u = 3*m + 5*u - 552. Is m a multiple of 17? False Does 4 divide -5 - -15 - -586 - 10? False Suppose 0 = 54*j - 49*j - 5. Is 17 a factor of (-97 - 5)/(-3 - -2
{ "pile_set_name": "DM Mathematics" }
194*y. Calculate m(g(s)). -3*s**4 Let b(t) = -9 - t + 9. Let d(q) = 4*q + 0 + 0. What is b(d(w))? -4*w Let m(s) = -s**2. Let f(u) be the second derivative of -u**5/60 + u**3/6 - 3*u. Let b(y) be the second derivative of f(y). Calculate b(m(h)). 2*h**2 Let m(h) = -h**2. Let d be (2 - 2/(-2)) + -1. Let k = 8 - 7. Let v(o) = d*o**2 - k + 1. Calculate v(m(s)). 2*s**4 Let t(z) = 4*z. Let p(c) = 46*c**2. Determine t(p(m)). 184*m**2 Let z(t) = t**3 - 2*t**2 + 3*t. Let v be z(2). Let r(k) = -k**2 - 1. Let u(b) = 12*b**2 + 13. Let m(g) = v*u(g) + 78*r(g). Let a(f) = f**2. Determine a(m(h)). 36*h**4 Let i(p) = 6*p**2 - p. Let t(o) = 7*o. Calculate i(t(n)). 294*n**2 - 7*n Let a(v) = 2*v**2. Let f(x) = -6*x**2 - 108*x + 108*x. What is f(a(c))? -24*c**4 Suppose 5*f + 4*n = 22, 0*n + 5*n - 25 = -5*f. Let b(q) be the first derivative of 0*q - 2/3*q**3 + 0*q**f - 2. Let g(t) = -t. Determine g(b(h)). 2*h**2 Let g(q) be the second derivative of q**4/3 - 30*q. Let r(m) = 8*m**2. What is r(g(o))? 128*o**4 Let q(o) = -2*o - o + 5*o. Let j be ((-6)/5)/(4/(-10)). Let h(v) = -2*v + j*v - 3*v. Give h(q(z)). -4*z Let z(t) = 2*t. Let j(x) be the third derivative of 3*x**2 + 0*x**4 - 1/15*x**5 + 0*x**3 + 0 + 0*x. Determine z(j(k)). -8*k**2 Let h(u) = 4*u. Let b(z) = -48*z. Determine b(h(s)). -192*s Suppose 2*n = 4*n - 12. Let q(r) = 2*r**2 + n - 6. Let c(o) = -10*o**2 - 45. Let b(y) = y**2 + 4. Let d(g) = -45*b(g) - 4*c(g). Give q(d(m)). 50*m**4 Let f(w) be the third derivative of -w**4/6 + 4*w**2 + 8*w. Let x(v) = 31*v**2. Give x(f(h)). 496*h**2 Suppose 0 = -3*i + 8 - 2. Let m(o) = i*o - o + 0*o. Let h(r) be the first derivative of -5*r**3/3 - 53. Give m(h(f)). -5*f**2 Let k(c) = 2*c. Let v(t) = -t**2 - 83. Determine k(v(p)). -2*p**2 - 166 Let z(s) be the first derivative of -2*s**3 - 26. Let l(h) = 3*h**2. Determine z(l(u)). -54*u**4 Let t(a) = 6*a. Let i(f) = -7*f. Let y(h) = -4*i(h) - 5*t(h). Let q(l) = 3*l + 2. Let n(j) = 25*j + 17. Let p(z) = -6*n(z) + 51*q(z). Calculate y(p(m)). -6*m Let g(k) = 3*k**2. Let p(z) = -689*z - 4. Determine p(g(y)). -2067*y**2 - 4 Let f(q) = -4*q + 2. Let d(c) = 9*c - 5. Suppose 0 = -2*i + 5 - 13. Let h(z) = i*d(z) - 10*f(z). Let r(l) be the first derivative of l**2 + 1. Give h(r(o)). 8*o Let u(l) = -3*l**2. Suppose z + 3 = -0. Let v(g) = g - 1. Let y(f) be the second derivative of -5*f**3/6 + 3*f**2/2 - f. Let s(n) = z*v(n) - y(n). Give s(u(w)). -6*w**2 Let c(a) = -3*a**2. Let j(d) = -54*d**2 + 115*d**2 - 56*d**2. Give j(c(g)). 45*g**4 Let b(q) = q - 33. Let m(c) = 2*c**2. Calculate b(m(w)). 2*w**2 - 33 Let q(h) = -h. Let a(k) = 45*k**2. Calculate a(q(x)). 45*x**2 Let h(j) = -j. Let r(a) = 5*a**2 + 24*a. Determine h(r(w)). -5*w**2 - 24*w Let q(a) = 9*a. Let d(b) be the second derivative of b**3/3 + 9*b. Determine d(q(p)). 18*p Let p(l) = -24*l. Let m(i) = -13*i - 2. Give p(m(s)). 312*s + 48 Let y(b) = b. Suppose -5*v + 0 = s - 8, 7 = s + 4*v. Let q(h) be the first derivative of -20*h**3 + 19*h**3 + 0 - s. Calculate q(y(w)). -3*w**2 Let z(n) = -3*n. Let h(r) = -4*r**2 + 7*r**2 + 15*r**2 + r**2. Determine h(z(w)). 171*w**2 Let x(y) = -y**2. Let b(o) = -17 - 3*o + 17. Calculate b(x(w)). 3*w**2 Let v(j) = 19325*j. Let l(s) = -s**2. What is v(l(q))? -19325*q**2 Let b(r) = -r. Let j(a) be the third derivative of -a**7/2520 + a**4/6 - a**2. Let o(w) be the second derivative of j(w). What is b(o(f))? f**2 Let p(s) be the third derivative of s**5/120 - s**3/3 + 2*s**2. Let t(a) be the first derivative of p(a). Let w(j) = j**2. What is w(t(k))? k**2 Let o(n) = 7*n**2 - 5*n. Let l(p) = -7*p. Determine o(l(r)). 343*r**2 + 35*r Let y(k) = 3*k**2. Let v(s) = 10*s. Let z(c) = -c. Let j(b) = -v(b) - 3*z(b). Determine j(y(l)). -21*l**2 Let l(x) = 1037*x. Let i(c) = 2*c. Calculate l(i(f)). 2074*f Let s(i) = -2*i**2. Let w(
{ "pile_set_name": "DM Mathematics" }
mposite number? False Suppose 4*o + 0*u - 103 = -5*u, -o = u - 25. Is o a composite number? True Let q(u) be the first derivative of 28*u**2 - u - 1. Let l = 6 + -5. Is q(l) a composite number? True Let b(p) = p + 11. Let t be b(-7). Suppose -3*m = -t*x + 581, 183 - 14 = x + 4*m. Let i = x + -82. Is i prime? True Let r(m) = -128*m - 17. Is r(-6) composite? False Let x(k) = -129*k - 2. Let a be x(3). Let d = -50 - a. Is d*1/(-3)*-1 a composite number? False Suppose -7*s - 13 = -8*s. Let q(m) = -m**3 + 13*m**2 + 12*m - 13. Is q(s) prime? False Is 613*2*6/(-60)*-5 prime? True Let n(a) = -a**3 - 6*a**2 - 5*a + 3. Let i be n(-5). Suppose i*h + h = 3*g + 254, -5*h + 319 = -3*g. Is h composite? True Let o(b) = 5*b**2 + 4*b. Let u(f) = -f**2 - 7*f + 5. Let n be u(-8). Is o(n) a prime number? False Let k be 3*(-4)/(-24)*28. Suppose 2*j - 30 = 4*w, -2*w + 23 = 5*j + w. Let c = j + k. Is c a composite number? True Suppose -2*k + 0*x = 5*x + 87, 5*k - 5*x = -165. Let d = 50 + k. Suppose -s + 9 = -d. Is s a composite number? False Let v = 12 + -8. Suppose -v*o - 399 = -7*o. Is o a prime number? False Let u be 40 + 1 + -1 + -3. Is u*(-1 + -1 - -3) composite? False Let z be (-18*3/6)/(-1). Let m(k) be the third derivative of k**6/120 - 2*k**5/15 + k**4/4 - 4*k**3/3 - k**2. Is m(z) prime? True Suppose 0 = -16*s - 386 + 3442. Is s prime? True Let h = 3 - 0. Let v = h + 0. Suppose 2*a = v*j - 6*j + 125, -5*a + 270 = -j. Is a a prime number? False Let z = 205 + -102. Let o = z - 44. Suppose 0 = 3*h - o - 16. Is h prime? False Suppose -3*k = -5*k + 4. Suppose -c - 5*v - 16 = k*c, 0 = 5*c - 4*v + 2. Is c/5 - 834/(-10) a composite number? False Let i = 101 - -8. Is i a prime number? True Suppose 313 = 5*r - 2622. Is r prime? True Suppose 0*b = 2*b - 3434. Suppose 4*d = -4*h + 1396, -d + 3*d = 5*h - b. Suppose -5*g = -220 - h. Is g a composite number? False Suppose -3*z + 20 - 5 = 0. Suppose -4*s + 3*s = 2*t - 407, z*s - 1980 = t. Is s a composite number? False Let y = 432 + -180. Suppose j - 125 = -k, -2*k - j + y = -0*k. Is k prime? True Let b be -4 + 5 + -3 + -2. Is (-5)/(b/116 + 0) prime? False Suppose 3*f = 5*u + 117 - 1166, -215 = -u - 2*f. Is u prime? True Is (-4)/12 + 215/15 a prime number? False Let y = 7 + 2. Suppose -102 + y = -3*p. Is p a composite number? False Is 614/(-8)*16/(-4) composite? False Is 19518/24 - (1 - (-3)/(-4)) prime? False Suppose 0 = -2*y - 5*v + 20, -v = 2*v - 12. Suppose -180 = -5*w - 4*z + z, y = -3*z + 15. Is w a prime number? False Suppose -2*v + 1 = -3*v - 5*a, -4*v - 4*a + 12 = 0. Suppose 118 = v*l - 3*l. Is l prime? False Let l(q) = 2*q**2 - 4*q + 7. Is l(-5) composite? True Let b = 1459 + 1017. Is (-2)/(-9) - b/(-36) composite? True Let k(b) = -b**3 + 8*b**2 - 6*b - 7. Suppose 5*g + 43 = r, -4*g - g - 195 = -5*r. Suppose 5*h = r - 13. Is k(h) composite? True Let r be (-4)/(-3)*(1 + 26). Suppose -2*a - 6 - 28 = 0. Let b = r - a. Is b a composite number? False Let s(g) = 20*g - 2. Let b be (3 + -1 - 3)*-3. Suppose -2 = b*i + 4*a, -3*i + 5*a - 4*a + 8 = 0. Is s(i) a composite number? True Let x(q) = 2*q**2 - 4*q - 8. Let v be x(4). Suppose 0 = -4*k - 3*l + v*l + 1787, 2*k - 2*l - 896 = 0. Is k composite? True Suppose o - 2*o + 547 = 3*t, -2*o + 2*t + 1078 = 0. Is o prime? True Suppose -28*r = -31*r + 8337. Is r a composite number? True Suppose -2*t = 2*j, j - 3*j - t = 0. Suppose -2*p + j*c - c = -14, 0 = -5*c + 10. Is (p/(-15))/(3/(-165)) a prime number? False Let m = 11589 + -652. Is m a composite number? False Let z(b) = 11*b**2 - 15*b + 29. Is z(9) composite? True Let u(y) = -y**2 + 7*y - 5. Let p be u(5). Suppose 3*d = -5*c + 9, 5 = 4*c + d - p. Is c a composite number? False Let s(l) = 3*l**2 + 4 + 10*l - l**2 - 3*l. Let x be s(-4). Suppose 75 = -3*a + x*a. Is a prime? False Suppose 5 = -4*h + t, -2*h + 15 = -4*h + 3*t. Let w(s) = -3 + h + 2 + 4 + 2*s. Is w(5) a composite number? False Suppose 4*t = 3*l + 9280, 0*t + t - 4*l - 2333 = 0. Is t composite? True Suppose -9 = -5*f + 8*f. Let h = f - -7. Suppose 0 = h*c + 2*v - 98, -5*c + 2*v = -41 - 68. Is c prime? True Suppose -p - 2*p = 3*v - 144, 5*v - p - 210 = 0. Is v prime? True Let s(b) = 25*b**2 + 1 + 0 - 9*b**2. Is s(-2) prime? False Suppose 2*c = c. Suppose c*p + 5*p = -v + 243, -5*p + 241 = 2*v. Suppose -g + 4*l + p = 0, 4*g = 4*l + 216 - 56. Is g composite? False Is (-563)/4*(6 + -10) composite? False Let c(p) = -2*p**3 + 4 - 2 + 5*p**2 + p**3 + 0
{ "pile_set_name": "DM Mathematics" }
Factor -x**2 - 2/3*x**3 + 0*x - y*x**4 + 0. -x**2*(x + 3)**2/9 Suppose -1755 = -11*r - 2*r. Solve r*t - 4*t**3 + 5*t**3 - 4*t**3 - 123*t = 0 for t. -2, 0, 2 Let d be (50/(-75))/(1/6*-1). Let r(w) = 29*w - 4. Let s be r(d). Determine y, given that -s + 2529*y**2 + 32 - 2534*y**2 - 40*y = 0. -4 Let l(z) = -7*z - 17. Let p be l(-3). Find c such that -7*c**3 - p*c**4 - 17*c**2 - 2*c - 18*c - 6 + 3*c + 7*c**4 - 4*c**4 = 0. -3, -2, -1 Let x(a) = 2*a**4 - 16*a**3 + 4*a**2 - 5*a. Let n = 563 + -566. Let j(r) = -r**4 + 9*r**3 - 2*r**2 + 3*r. Let w(k) = n*x(k) - 5*j(k). Factor w(q). -q**2*(q - 2)*(q - 1) Let v(h) = h**4 - 14*h**3 + 20*h**2 - 4*h + 4. Let j(f) = -f**3 + f**2 - f + 1. Let l(s) = 4*j(s) - v(s). Factor l(g). -g**2*(g - 8)*(g - 2) Suppose r + z - 4 = -0*r, 0 = -5*r + 4*z + 2. Suppose 0 = 2*n - r*i - 4, i - 3 = -2. Factor 14*u**n - 2*u**4 + 0*u + 2*u**2 - 12*u**3 - 2*u. -2*u*(u - 1)**2*(u + 1) Let w(r) = -3*r**2 - 75*r - 447. Let o be w(-15). Let k(g) be the first derivative of -3/4*g**4 + 15/2*g**2 - 9*g - g**o - 23. Find b, given that k(b) = 0. -3, 1 Let b(a) be the second derivative of -165/2*a**4 + 138*a**3 - 15/4*a**5 - 30*a + 0 - 84*a**2. Factor b(j). -3*(j + 14)*(5*j - 2)**2 Let n(r) be the second derivative of 0*r**3 - 1/40*r**5 + 0 - 1/16*r**4 + 17*r + 7/2*r**2. Let i(d) be the first derivative of n(d). Factor i(q). -3*q*(q + 1)/2 Let n be 144/460 + ((-19)/285 - 53/(-345)). Factor -264/5*z + 8712/5 + n*z**2. 2*(z - 66)**2/5 Let o(w) be the second derivative of -w**5/12 - 5*w**4/12 + 25*w**3/2 + 23*w**2 + 2*w - 33. Let j(s) be the first derivative of o(s). Factor j(i). -5*(i - 3)*(i + 5) Let d(r) be the first derivative of 2*r**6/3 + 104*r**5/5 + 192*r**4 + 384*r**3 - 806. Factor d(v). 4*v**2*(v + 2)*(v + 12)**2 Determine y, given that 27 + 82*y + 76*y - 170*y + y**2 = 0. 3, 9 Let f(k) = -6*k**4 + k**3 - 5*k**2 - 5*k + 5. Let o(c) = 9*c**4 - 2*c**3 + 7*c**2 + 7*c - 7. Let g = -204 - -211. Let i(n) = g*f(n) + 5*o(n). Factor i(j). 3*j**3*(j - 1) Let q(b) be the first derivative of -4*b**6/9 - 44*b**5/15 - 4*b**4 + 4*b**3/9 + 8*b**2/3 + 490. Let q(t) = 0. Calculate t. -4, -1, 0, 1/2 Let x = -4530 - -31712/7. Let t(l) be the second derivative of -12/7*l**3 + 0 + 0*l**2 - 1/70*l**5 - x*l**4 - 28*l. Factor t(j). -2*j*(j + 6)**2/7 Let s(z) be the first derivative of -64 + 7*z**4 - 44/3*z**3 + 8*z - 14*z**2 + 36/5*z**5. Suppose s(i) = 0. Calculate i. -1, 2/9, 1 Suppose -3/4*c**2 - 171 - 237/4*c = 0. What is c? -76, -3 Let f(p) be the first derivative of -5*p**4/4 - 440*p**3/3 - 10105*p**2/2 - 18490*p + 4406. Factor f(s). -5*(s + 2)*(s + 43)**2 Determine m so that 2/9*m**3 + 722 - 226/9*m**2 + 2090/3*m = 0. -1, 57 Let k(z) be the third derivative of -z**8/7560 + z**7/630 - z**6/324 + 17*z**3/3 + 17*z**2. Let c(r) be the first derivative of k(r). Factor c(s). -2*s**2*(s - 5)*(s - 1)/9 Let 4*y**2 + 0 - 3*y - 4/3*y**4 + 2/3*y**3 - 1/3*y**5 = 0. What is y? -3, 0, 1 Let n be (20/(-96))/(15*(-15)/180). Factor -5/6 - n*w + 5/6*w**2 + 1/6*w**3. (w - 1)*(w + 1)*(w + 5)/6 Let y(o) be the third derivative of -5*o**8/336 + 11*o**7/21 - 23*o**6/8 - 143*o**5/3 - 845*o**4/6 + 7*o**2 + 21. Factor y(d). -5*d*(d - 13)**2*(d + 2)**2 Let y = -33 + 37. Suppose y = x, w - 12 = -w - x. Determine q so that -8*q - 2*q + 11*q**4 - 13*q**w + 2*q + 6*q**3 = 0. -1, 0, 2 Let n be ((-15)/9)/5*-9. Let j(a) = -27*a + 448*a**2 + 4*a**4 - a + 32*a**n - 68*a - 444*a**2 + 64. Let b(r) = -r**3. Let d(q) = -8*b(q) - j(q). Factor d(v). -4*(v - 1)**2*(v + 4)**2 Let a = -191 + 629. Factor -442*n**2 - 7*n - n + a*n**2. -4*n*(n + 2) Let m = -184796 + 554390/3. Factor m + 4/9*g - 2/9*g**2. -2*(g - 3)*(g + 1)/9 Let a(k) be the second derivative of 18*k**2 + 7/3*k**4 + 31*k + 1/5*k**5 + 2 - 34/3*k**3. Determine l, given that a(l) = 0. -9, 1 Find o such that 18050 - 138*o**3 - 18048*o**2 + 518*o**3 + 30*o**4 - 86*o**4 - 380
{ "pile_set_name": "DM Mathematics" }
t z = -0.012307 + h. Let f = 122 - z. Round f to two dps. 0.12 Let f(n) = 3365010*n - 20. Let k(j) = -2*j**2 - 73*j - 34. Let w be k(-36). Let z be f(w). What is z rounded to the nearest 100000? 6700000 Let a = -91494 - -90578.29. Round a to the nearest 100. -900 Let c = -71881 - -71880.9999814332. Round c to 6 dps. -0.000019 Let s = 7.07041 - 8.7896. What is s rounded to two decimal places? -1.72 Let z = -35981 + -23842. Let r = 30323 + z. Round r to the nearest 10000. -30000 Let t be 432/(-1224) + 314925018/51. Round t to the nearest one million. 6000000 Let p = 71480.98592 + 1.01408. Let q = -71502.0000168 + p. Let h = 20 + q. Round h to five dps. -0.00002 Let m(y) = -6*y + 2. Let o be m(1). Let x be 6*148*-32055 - o. Let a = -13264836 - x. What is a rounded to the nearest 1000000? 15000000 Let f = -35687.967941 + 35688. Let p = -15.1323 - -15.1. Let t = f + p. What is t rounded to four decimal places? -0.0002 Let t = 5079.964 - 5073. What is t rounded to the nearest integer? 7 Let s = -5866669.99437 - -5866731. Let r = 61 - s. What is r rounded to three decimal places? -0.006 Let d = 0.053 - -4.007. Let a = -261 + 258.53. Let q = a + d. What is q rounded to one dp? 1.6 Let i = 29139 + -29139.00030108. Round i to 6 dps. -0.000301 Let v = 973 + -1108.9. What is v rounded to the nearest 10? -140 Let m = -778594 - 698006. Round m to the nearest one hundred thousand. -1500000 Suppose 5*a + 22*a = -11*a + 26531600. What is a rounded to the nearest 10000? 700000 Let i = 4302 - 4272.652. What is i rounded to the nearest ten? 30 Let b(c) = -267516*c + 5496. Let n be b(6). Round n to the nearest 100000. -1600000 Let h = 76.377 - 140.316. Let m = h - -64. Let t = 0.0581 - m. What is t rounded to 3 decimal places? -0.003 Let l = -235 + 343. Let y = l - 102.9. Let w = y + -5.126. What is w rounded to two decimal places? -0.03 Suppose -1463275000 = -55*z + 330*z. What is z rounded to the nearest one million? -5000000 Let y = 3.78 - 0.18. Let p = -0.09811 - 3.50009. Let b = y + p. Round b to 3 dps. 0.002 Let l(k) = -1. Let b(i) = -1799*i + 20. Let u(t) = -b(t) - l(t). Let c be u(11). What is c rounded to the nearest 1000? 20000 Let m = 39240 + -39239.99948938. What is m rounded to six dps? 0.000511 Let x = 0.2619 - -1245.7381. Let r = x - 1245.9163. Round r to 2 decimal places. 0.08 Let h = -5305.177 - -5321. What is h rounded to the nearest integer? 16 Let d = -944.5109 - 1.0891. Round d to the nearest ten. -950 Let n = -20442607.6435253823 + -864.3564206177. Let x = -20443455 - n. Let w = x - 17. What is w rounded to 5 decimal places? -0.00005 Let q be (-270)/120 - (-569183937)/(-28). What is q rounded to the nearest one hundred thousand? -20300000 Let p = 0.2669 - 0.2667346. What is p rounded to six decimal places? 0.000165 Suppose -3*t + 13 = -y, -2*y = -3*y - 1. Let h be (110675/(-38))/(2/t)*20. Round h to the nearest 1000. -117000 Let n = -22248 - -22247.999986619. What is n rounded to 7 dps? -0.0000134 Let l(t) = -18 - 1849*t**3 + 0*t - 4*t - t + 0*t + 2 - 4*t**2. Let m be l(8). Round m to the nearest 10000. -950000 Let o = 1192.05 + 14.95. Let z = o - 1207.000000669. Round z to 7 dps. -0.0000007 Suppose -8*a = -7*a - 20. Suppose -5*r + 52 = 22. Suppose r*f + 35980 = a*f. What is f rounded to the nearest 1000? 3000 Let v be -4 - ((-12)/3 + -3). Let j be (228800/(-48))/(1/v). Round j to the nearest ten thousand. -10000 Let r = -205.0005893 - -205. Round r to four dps. -0.0006 Let t = -421289.54900438 + 421289.6. Let q = 0.051 - t. What is q rounded to 6 dps? 0.000004 Let z be (-2*5)/((5 - 3)*-1). Suppose -d - 3*l - 388 = -3*d, z*l = 2*d - 380. What is d rounded to the nearest 1000? 0 Let y = 240.9 + -471.87. Let l = -27.25 - y. Let k = l - 200. What is k rounded to zero dps? 4 Let l(n) = n**3 - 8*n**2 + 7*n + 38. Let r be l(6). Let z be 39/104 + 4077/r. What is z rounded to the nearest one hundred? 500 Let n = -313.014722 + 313. Round n to 2 dps. -0.01 Let o = 387.2 - -48.8. Let c = -394.9 + o. Round c to 0 decimal places. 41 Let b = -10944 + 44624. Let h = b - 17780. What is h rounded to the nearest one thousand? 16000 Suppose 4*v + 2*q - 10327209 = 52312783, 78299988 = 5*v + 3*q. What is v rounded to the nearest 1000000? 16000000 Suppose -4*h + 18 - 6 = 0. Suppose -13*y = 3*l - 11*y + 74, 3*l - 4*y = -86. Let g be (-4)/l + h/((-117)/(-7014)). What is g rounded to the nearest one hundred? 200 Let a = -9544 - -5071. Let n = 4454.39 + a. Let i = n + 18. Round i to 1 decimal place. -0.6 Let r = -400 + 392. Let h be (-40)/r*-38*5. What is h rounded to the nearest 100? -1000 Let m = 20229.91543 - 20230. What is m rounded to 2 dps? -0.08 Suppose 132*o = 1286920 + 470318 + 2805738. What is o rounded to the nearest 100? 34600 Let q = -124405623515.7 + 124405621911.699999211. Let z = q + 1604. What is z rounded to seven decimal places? -0.0000008 Let a = -12643.012532 + 12643. Round a to four decimal places. -0.0125 Suppose a + 211268 - 2000840 = 3*n, 5*a = -5*n + 8947820. Let j = a - 897566. What is j rounded to the nearest one hundred thousand? 900000 Let d = 34925.49163 - 34925. What is d
{ "pile_set_name": "DM Mathematics" }
est to f? (a) -4 (b) 0 (c) -2 (d) -1/4 a Let l = -33.17 - -36.17. What is the nearest to 1/3 in l, 394, -10? l Let b = 0.2 - 0.1. Let m be 8/(-3)*54/(-252). Let s = 2.2 + -5.2. What is the nearest to b in s, m, 0.3? 0.3 Let g be (-3473)/(-252) + 7/(-49). Let o = -116/9 + g. Let z be 592/112 + -5 + 37/(-7). What is the nearest to -5 in -1, z, o? z Let n(z) = z**3 + 23*z**2 - 330*z + 1. Let w be n(-33). What is the nearest to w in 1/6, 5, -4, -135/8? 1/6 Let y = -2385 - -2386. Which is the nearest to y? (a) 1 (b) -3/10 (c) 0.05 a Let i = 3175 + -3174. Which is the closest to -8? (a) i (b) -3/5 (c) 26/5 b Let i = -2.9289 + -87.0711. What is the nearest to 0.01 in -4, i, 1? 1 Let u(q) = -q**3 + 26*q**2 + 27*q + 74. Let r be u(27). Suppose -5*s = 125 + 210. Let y = r + s. Which is the closest to -0.5? (a) y (b) 0.5 (c) 3/4 b Let o be -4*((-460)/(-1808) - 2/8). Let x = 35 + -40. Let c be 1*x*3/(-10). What is the closest to o in 0.5, 0.4, c? 0.4 Let s = 20907/83660 + 2/20915. Which is the closest to 1? (a) 3 (b) s (c) 1 c Let h = 0.02845 - 6.02845. Which is the nearest to h? (a) -3 (b) 0.3 (c) -2/17 a Let x be (-74)/26 + 3 + (8 - 8). Let y = -21.7 + 22. What is the closest to -4/5 in y, x, -2/17? -2/17 Let u = -1516.3 + 1638.3. What is the nearest to u in 0.1, 0.04, 2/9? 2/9 Let m be (-2512)/38 + 20/190. Let w = 86 + m. Suppose y + u = 7, -2*u = -2*y + 7*y - w. Which is the closest to y? (a) 0.1 (b) -2 (c) -5/3 a Let q = -7816 - -7806. Let o = -7.4 + 0.4. Let g = q - o. Which is the closest to 0? (a) -4 (b) 2/3 (c) g b Let j = 0 + -1. Let d be 4654/(-8) + (-8)/4 + 0. Let y = d - -584. Which is the nearest to y? (a) 7 (b) j (c) -3 b Let i be (-6 + -2)/(-4)*(-9)/(-18). What is the nearest to i in 0.3, 4, 0.1, -1/11? 0.3 Let z = 182 - 174. Let y = -11 + z. Let p = 40 - 37. What is the nearest to -0.3 in y, p, -4? y Suppose -5*z = -5*r + 18 + 102, 3*z - 2*r = -70. What is the nearest to 0.7 in z, 5, -2/9? -2/9 Let i be (33 + 804/(-24))/1. Let l = 0.25 - 0.3. Which is the closest to -1? (a) 0.4 (b) l (c) i c Let s = -64.114 - -0.114. Let r = 63.6 + s. Which is the closest to -4/7? (a) r (b) 0.1 (c) -0.1 a Let i = 1786742/3 + -595581. Let y be 16/21 - (-2)/(-3). Which is the nearest to i? (a) -2 (b) -3 (c) -4 (d) y d Let k = 106.6 + 6.4. Let r = 226 - k. Let n = r + -112.7. Which is the closest to 0.11? (a) 2 (b) n (c) 0.2 c Suppose -3*p + 4*p = 0, -3*d + 4*p = -585. Let j be (-8)/(-10) + (-186)/d. Which is the nearest to 1? (a) j (b) 1/8 (c) -0.5 b Let p = -0.04 - 0.38. Let l = -0.2 - -0.7. Let n = -44326 - -132977/3. Which is the nearest to n? (a) -3 (b) l (c) p c Let p(q) = -5*q**2 + 23*q + 3. Let b be p(5). Let w be (-240)/1134 - 2/b. What is the nearest to w in 0.1, -1/2, 1/3? 0.1 Let k = -8.2 - -8.215. Let z = -36.985 - k. What is the closest to 2 in 1, -2, z? 1 Suppose 3*y + 3*a - 14 = 2*y, -24 = -4*y - 4*a. Let w = -561 + 865.5. Let u = w - 305. What is the closest to y in u, -0.2, -4? -0.2 Let l = -9717 - -9717.5. What is the closest to -1/4 in -3.8, l, 0.3, 2/11? 2/11 Let p be (-1)/1 + (-8)/(-6). Let o = -112.7 + 41.7. Let s = o - -84. Which is the nearest to -0.2? (a) -2/13 (b) s (c) p a Let s = -35.242 - -36.1. Let l = s - 0.358. What is the closest to -1/3 in l, -4, -3? l Let f = 36.087 + -0.087. Let d = f + -35.66. Let q = d - 1.34. What is the nearest to -0.07 in q, -4, 1/4? 1/4 Let t = 8.89 - -0.11. Let q = 229.76 - 22.36. Let m = 207 - q. What is the nearest to 0.2 in 1/2, m, t? 1/2 Let z = -172/303 + -10/101. Let r = -7.93 + 8. Let p = 2.07 - r. Which is the closest to p? (a) 1 (b) z (c) -1/2 a Suppose -14 = 2*r - 72. Suppose -5*o - 4 = -r. Let d be (3 + (-28)/8)/(o/2). What is the nearest to 1 in d, -3, 0.1? 0.1 Let z = -0.03 + 0.43. Suppose -2*a + 6*t - 6 = 7*t, -4*a + 2*t = 20. What is the nearest to z in a, -7, 1/3? 1/3 Let r = 41 - 40.4. Let x = r - 0.5. Let v = 0.22 + -0.72. What is the closest to x in 5/4, v, -2/13? -2/13 Let v be 20/(-2) + (75 - 65). Let i be ((-30)/(-12))/(2 + (-15)/6). Which is the nearest to 3? (a) -0.45 (b) v (c
{ "pile_set_name": "DM Mathematics" }
q + j*z**3 + w*z**2 and give j. 21392 Rearrange 152 - 147 - 450*f - 5*f**3 + 402*f to the form o*f**3 + k*f**2 + v*f + h and give v. -48 Express 143 + 2*a - 3107*a**2 + 3*a**4 + 1538*a**2 + 1567*a**2 as x*a + c*a**2 + k + g*a**4 + p*a**3 and give x. 2 Rearrange 11*g - 474 + 2*g**2 + 153 + 162 + 156 to m*g + b*g**2 + c and give b. 2 Rearrange 121 + 2*n + 7*n + 7*n - n - 19*n to d*n + k and give k. 121 Rearrange (-51 + 51 - 70*x)*(-1 + 5 - 3)*(12 - 6 + 5) to z*x + f and give z. -770 Express 435*v**2 + 372*v**2 - 590*v**2 + 7*v + 2*v**4 in the form n*v**3 + y*v**2 + p*v**4 + w + m*v and give y. 217 Express 1 + 5127*i - 1888*i + 14035*i - 1 as x*i + c and give x. 17274 Rearrange (2*a + a + 0*a)*(-4*a - a + 3*a)*(83*a + 224*a + 33*a) to y*a + p*a**3 + m*a**2 + z and give z. 0 Express -41*c**2 + 117 + 34*c**2 - 325 + 117 in the form u*c**2 + w + o*c and give w. -91 Express (173285 + 173303 - 346695 + 74*q)*(0*q + 0*q + 3*q) + 3*q**2 - 3*q**2 - 2*q**2 in the form f*q**2 + h*q + n and give h. -321 Rearrange -10920*q + 2450*q - 2528*q - 8754*q + 1418*q to the form a + m*q and give m. -18334 Express -3 + 3 + h**3 - 8*h**3 - 15*h**3 + 3*h**3 + (12*h**2 - 10*h**2 + 11*h**2)*(-4*h + h + h) as n*h**3 + l*h**2 + m + g*h and give n. -45 Rearrange 603 - 1815 - 2*x**4 - 10*x**2 - 7*x + 607 + 602 to the form l + b*x**4 + q*x**3 + u*x**2 + f*x and give f. -7 Express (-2*m - 5 + 6 + 7)*(-26*m**3 + 219*m - 3 - 212*m + 17*m**3 + 2*m**2) in the form a*m**4 + t + g*m**2 + w*m + o*m**3 and give o. -76 Rearrange 74*w**3 - 777*w**3 + 67*w**2 - 1 - 69*w**2 - 354*w**3 + 2*w - 257*w**3 to the form h + a*w**3 + v*w + q*w**2 and give v. 2 Express (q + 3 - 3)*(-5274624*q - 59 + 224 + 5274625*q) in the form w*q + y*q**2 + s and give y. 1 Express 84 + 60 + n + 3*n + 209 + 450 in the form v*n + p and give v. 4 Rearrange 2*p**3 - 78*p - 6671 + 5715 + 76*p to the form o*p**2 + l*p + a + k*p**3 and give k. 2 Express (-2*m + 2*m + 2*m)*(-30858 + 12078 + 14093) as p + l*m and give l. -9374 Express -1311*h - 704 + 702 - h**3 - 583*h in the form a*h**3 + z + s*h**2 + g*h and give z. -2 Express (-3 - 3 + 4)*(4*y**2 - 2*y**2 + 0*y**2)*(373 + 316*y - 363 - 485*y) in the form b*y + m + a*y**3 + d*y**2 and give a. 676 Rearrange -2*r**2 - 5*r**2 + 3*r - 1095*r**3 + 4*r**2 - 2*r**4 - 5 + r**2 + 1105*r**3 to s*r**2 + v*r**4 + t*r + p*r**3 + f and give v. -2 Express (0 + 4 - 3 + (-3 + 2 - 1)*(-3 + 2 + 2))*(-1940*c + 996*c + 3*c**2 + 945*c - 497) as s*c**2 + r + f*c and give r. 497 Express (-4*j + 0*j + 5*j)*(-4*j**2 + 6*j**2 - 3*j**2) + 1939*j**3 - 1931*j**3 + 890*j + 116*j in the form b*j**3 + d + k*j + f*j**2 and give k. 1006 Express (-257*m - 80*m + 27*m)*(3*m**2 - 3*m**2 - m**2) + (-m**3 - m**3 + 0*m**3)*(-4 - 2 + 4) as i*m + a*m**3 + f*m**2 + j and give a. 314 Rearrange 26*h**2 - 62*h + 28*h + h**3 - 2 - 28*h**2 + 33*h to the form i*h + p + m*h**3 + s*h**2 and give s. -2 Rearrange (0 + 0 - 2*z**2)*(21 + 2700*z - 19 - 2443*z) to the form p*z**3 + q + w*z**2 + o*z and give p. -514 Express (-2181 + 5914 + 3026 + 9908)*(0 + 2 + 4*y**3 - 2*y**3) as q + z*y**2 + r*y + k*y**3 and give k. 33334 Express 110*n - 46046 + 23040 + 23081 in the form w + a*n and give a. 110 Rearrange (3612*s - 3612*s - 203*s**2)*(-57*s + 57*s + 36*s**2) to y*s**4 + a*s**3 + n*s + h*s**2 + w and give y. -7308 Rearrange (-21 + 21 - 5*u**4)*(-17011 + 8928 + 8466) to the form z*u + m + h*u**4 + l*u**3 + i*u**2 and give h. -1915 Rearrange -235751*b**3 + 3*b + 235750*b**3 + 22*b**2 - 42*b to a*b + g + q*b**3 + w*b**2 and give q. -1 Rearrange 183*d + 160*d - 325*d + (-26*d - 568 + 568)*(-4 + 1 + 4) to the form x + i*d and give i. -8 Express (-6*m**3 - 481*m + 5*m**2 + 481*m)*(-402 + 7 - 88 + (4 + 0 - 2)*(4 - 1 - 4)) as t*m**2 + l*m**3 + w*m + o and give l. 2910 Express (-2 + 2 + c)*(-6*c**2 + 2*c**2 + 3*c**2) + 16*c**3 - 34*c**3 + 99*c**3 as n*c + a*c**2 + k + q*c**3 and give q. 80 Rearrange (-2*n - 2*n - n)*(1670 - 634 + 1350 - 623 + 3817) to x + q*n and give q. -27900 Rearrange 396361*b**2 - 12*b - 396376*b**2 + 3*b to j*b + a + d*b**2 and give j. -9 Express 0 - 4*i**4 + 0 + (4 + 9
{ "pile_set_name": "DM Mathematics" }
). Solve n - 3 = 4*u - 2*u, o*n - 15 = -3*u for u. 0 Suppose -3*c = -67 - 74. Suppose -3*x = -28 - c. Suppose x*g - 26*g = 0. Solve g = 3*w + 3*v + 2*v - 1, 16 = -2*w + 5*v for w. -3 Suppose -43 = 5*j - 153. Suppose 25*r + 184 = 234. Solve 4*t = 4*q - 4, -r*q + 7*q = -4*t - j for q. -2 Suppose 109 + 444 = 79*k. Solve -k*w + 1 = 5*f - 6*w, 2*f + w = 1 for f. 0 Let g(a) = -6*a**3 - 2*a**2 - 11*a - 10. Let c be 3/(-24)*3 - 15/24. Let j be g(c). Solve 0*v + q - 7 = -v, j*v = -2*q + 26 for v. 4 Let a be (4/4)/3 + (-308)/(-12). Suppose -3*d + 3*g = -21, -g = 3*d - 3*g - a. Solve 0 = 2*i - 2*y + d, -5*y + 20 = -2*i - y for i. -2 Let s be 6/(-18)*-9 - 3*-3. Suppose s*k = 22*k. Solve -r = -2*r - l + 3, 5*r - 4*l - 33 = k for r. 5 Let k(c) = 3*c**3 + 20*c**2 + 2*c + 69. Let s be k(-7). Solve 3*d = j - s*j + 3, -3*d - 3*j = -3 for d. 1 Let z(v) = 3*v - 23. Let p be z(11). Let m = p - 6. Let t be ((-1)/(-2))/(2/20). Solve 4*d = m*w - 24, -t*w + 2*d - 6 = -33 for w. 5 Suppose 24*k - 9*k = 0. Suppose -13*v + 23 + 3 = k. Let y be 1 + v + (4 + -5 - -3). Solve 22 = -4*x + y*t, 0 = -4*x + t - 9 - 5 for x. -3 Let y be ((-21)/(-9))/((-58)/87)*-4. Solve 0 = -3*h - y*r + 10*r + 10, -h = -4*r + 2 for h. 2 Let a(z) = -z**2 - 29*z - 5. Let b be a(-22). Suppose -2*l + l - b = -4*f, 9 = 3*l. Let p = -34 + f. Solve 4*d + 12 = o, p*o + 29 = -2*d + 5 for o. -4 Let s(z) = 367*z - 9175. Let r be s(25). Suppose -2*d = 5*n - 6*d - 7, -5*d = n - 13. Solve -2 = -4*a + n*w - r, -3*a - 4*w - 11 = 0 for a. -1 Suppose -10 + 88 = 13*q. Suppose -3*f - q = -2*r + 29, -4*f + 145 = 5*r. Solve -4*o = 4*x - 7*o - r, 8 = 5*x + 4*o for x. 4 Let n be ((-30)/(-24))/(12/(-16))*-3. Let t be (n - 91/14)*-2. Solve -r + t = 0, -3*z - r = -3*r for z. 2 Let c(y) = y**2 + 4*y. Let n be c(-5). Suppose -4*t = -9 - 7. Suppose -74 + 114 = t*f. Solve -n*i - f = 2*s + 6, -3*i + s = 14 for i. -4 Let l = -140 + 140. Let d = -1 - -5. Suppose d*a + 3 = -x, -2*x + 2*a + 3 = -11. Solve -x*v = 4*s - 2*s - 1, l = -4*s - 4*v - 4 for s. -2 Let q = -364 + 366. Solve 3*v - 3 = 3*i, 22 = 10*v - 13*v - q*i for v. -4 Suppose 0 = -0*d + 8*d - 32. Let g = -31 - -112. Let x = 84 - g. Solve 3*k + 0*l - 11 = -d*l, -2*k + x*l = 4 for k. 1 Suppose -5*j - 2 = u, 13*u - 3*j = 16*u - 6. Solve 4*f = -5*m + 37, u*f - 8 = -m + 2*f for m. 5 Let d = -45 + 163. Let x = d + -118. Solve -2*y = 3*h - 8, x*y = -5*h - 4*y + 14 for h. 2 Let o = -40 - -42. Suppose -5*h + 45 = 5*m, -6*h - 2*m + 28 = -o*h. Let f(c) = 3*c - 25. Let k be f(9). Solve -3*d + 9 = -k*b + 24, -h*b - 5*d = 0 for b. 3 Let g = 2662 - 2634. Solve -5*o = -4*n + g + 8, -16 = 2*o - 2*n for o. -4 Let w(o) = 9*o + 193. Let l be w(-21). Solve 35 = 5*j - l*v, -7*j - 23 = -8*j + 4*v for j. 3 Suppose 0 = 5*n - 10, 3*n + 119 + 1195 = -5*h. Let j be 45*(h/(-126) + (-3)/7). Let a = 77 - j. Solve 0*s + 14 = -3*q - s, -2*q - 4 = -a*s for q. -4 Let d(a) = a**3 + 2*a**2 - a + 5. Let n be d(-4). Let v(f) = 4*f + 95. Let w be v(n). Solve w*b = 5*m - 21, 0 = 3*b + 11 - 5 for m. 3 Let i(j) = -683*j - 13656. Let o be i(-20). Solve -o*d - 4*s - 36 = 0, -s - 60 = 5*d - 31 for d. -5 Let y be ((1 + -1)*1)/2. Suppose -3*a + 2*d + 26 + 21 = y, 4*a - 91 = -3*d. Solve 0 = 4*n + 2*b - 24, -n - 5*b + a = -5 for n. 4 Let k(w) = w**2 + 294*w + 216. Let s be k(0). Solve s*d + 3*c = 220*d + 23, 2*d + 2*c - 6 = 0 for d. -2 Let s(b) = -b + 13*b - 3*b - 82 + b**2 + 17*b. Let v be s(-29). Solve v*t = -r + 3*t + 15, 10 = 5*r - 3*t for r. 5 Suppose -28 + 9 = -3*j - 2*s, j = 2*s - 7. Solve j*b - 3 = -3*n, -3 + 10 = -3*b + 2*n for b. -1 Let z be (-38)/(-38) - (-6 + 2 - 1). Suppose -5*i = -4*g - 138, z*i - 5*g = 2*i + 105. Solve 27 = 5*y - 4*n, 3*y = 5*n - 6 + i for y. 3 Suppose 76*d + 162 = 314. Solve d*w + 21 = 5*h + 1, w + 11 = 3*h for h. 2 Let d be 2*(-5 - -7)/((-12)/(-69)). Suppose 27*s - d*s - 4 = -4*x, 2*x - 26 = 4*s. Solve 3*v + x*n = 0, 4*v - 6 = 5
{ "pile_set_name": "DM Mathematics" }
1? -31 Which is the fourth biggest value? (a) 5 (b) -0.01 (c) -3 (d) -0.5 c What is the second smallest value in -0.2, 1, 5/3, -0.15? -0.15 Which is the fifth smallest value? (a) -48 (b) -7 (c) 3/5 (d) 5 (e) -5/3 d Which is the third smallest value? (a) -0.5 (b) 1/3 (c) 0 (d) 6 b What is the third smallest value in 0.1, -833, -0.1? 0.1 Which is the fourth biggest value? (a) -1.9 (b) 0.5 (c) -0.5 (d) -10 (e) 1 a What is the smallest value in -4, -0.3, 0.01? -4 What is the second smallest value in -2, -5, 117, 5? -2 What is the third biggest value in -0.3, -9, -0.059? -9 Which is the fourth smallest value? (a) 1/7 (b) 103 (c) 0.2 (d) -0.5 b Which is the third smallest value? (a) -3.3 (b) -1/3 (c) 29 (d) -4 (e) -3 e What is the third smallest value in -2/3, -0.1, -24.52? -0.1 Which is the second biggest value? (a) -7 (b) 3/5 (c) -2 (d) -1 d Which is the smallest value? (a) -0.5 (b) -3/8 (c) -0.77 (d) -4 d Which is the third biggest value? (a) 3 (b) 1 (c) 17/7 b Which is the second biggest value? (a) -6 (b) -3.2 (c) -0.3 (d) 0.2 (e) -0.04 e What is the second biggest value in -260, -2, -3/2, 4/3? -3/2 Which is the third biggest value? (a) -1/3 (b) 0.1 (c) 0.4 (d) -9 a Which is the smallest value? (a) 0.1 (b) 2 (c) -4 (d) 0 c What is the third smallest value in -5.6, -5, 0.5? 0.5 What is the biggest value in 0.1, -12, -1/4? 0.1 What is the fifth smallest value in -2/11, 0.4, 4/9, 0.05, -5? 4/9 What is the fourth smallest value in 1, -2/9, 3, -2/15? 3 Which is the second smallest value? (a) 1/10 (b) 4 (c) 0.5 c Which is the second smallest value? (a) 1/46 (b) -20/9 (c) -1 c Which is the smallest value? (a) 2 (b) 0.024 (c) -0.3 c Which is the second smallest value? (a) 0.4 (b) -1130 (c) -4 c What is the second smallest value in -11, -12, -4? -11 What is the fourth smallest value in 2, 1/6, -0.22, -0.4? 2 Which is the biggest value? (a) 31 (b) -1 (c) -3 (d) 2 a Which is the smallest value? (a) -18/319 (b) 2 (c) -1/4 c Which is the third biggest value? (a) 2 (b) -1/4 (c) 312 (d) 3/5 d Which is the third biggest value? (a) -1/5 (b) 5 (c) -2 (d) 45 a What is the third biggest value in 2/11, 1, -98, 3/2? 2/11 Which is the biggest value? (a) 5/3 (b) -1 (c) -2/11 (d) -3/8 a What is the smallest value in -1, -2, 0.137? -2 What is the second biggest value in 1, 0.4, 5/6? 5/6 What is the fourth smallest value in 5, 0.1, 3, -14/3? 5 What is the second smallest value in -14, 14, -3? -3 What is the second biggest value in 3, 2, 6, -15? 3 Which is the second biggest value? (a) 0.1 (b) 3/5 (c) -5 (d) 0.104 d Which is the second biggest value? (a) 36 (b) 18 (c) -5/4 b Which is the second smallest value? (a) 0.3 (b) -180 (c) -0.3 (d) -5 d What is the second smallest value in -2, 0.05, 96? 0.05 What is the smallest value in -5, -1, -1.97? -5 Which is the second smallest value? (a) -1/11 (b) 2/19 (c) -13 a What is the fourth biggest value in -0.07, -0.4, 2/19, 0.05? -0.4 Which is the smallest value? (a) -4 (b) 2 (c) -131 c What is the biggest value in 0.2, 5, -3.7? 5 Which is the second biggest value? (a) 17 (b) -2 (c) 0.2 (d) 0 c What is the second smallest value in -2/49, -2, -6/83? -6/83 Which is the second smallest value? (a) 20 (b) 0.5 (c) -0.1 b Which is the second biggest value? (a) 4/11 (b) -0.3 (c) -3/4 b Which is the second smallest value? (a) -4 (b) 0 (c) 12 b Which is the second biggest value? (a) -7 (b) 5 (c) -3/7 c What is the fourth biggest value in 28, 0, 0.5, -3/5, -5? -3/5 Which is the fourth smallest value? (a) -0.3 (b) 0.5 (c) 0.4 (d) -28 b Which is the third biggest value? (a) 0.591 (b) 0 (c) 5/3 (d) -4 b Which is the second smallest value? (a) 2/5 (b) -3 (c) 1/4 (d) -2 d Which is the fifth smallest value? (a) 0 (b) 2 (c) -5/4 (d) -0.12 (e) 5 e Which is the second smallest value? (a) -0.3 (b) 3 (c) 2/5 c Which is the third smallest value? (a) -3/4 (b) -0.5 (c) 0.06 (d) -1 (e) -4 a Which is the second biggest value? (a) -2/13 (b) 1/44 (c) 5 (d) 1/5 d What is the smallest value in 0.08, -2, -30, -3? -30 Which is the smallest value? (a) 0.5 (b) -1/13 (c) 1/4 b What is the biggest value in 131, -8, -0.06? 131 Which is the fourth biggest value? (a) 0.3 (b) -2/17 (c) -8 (d) -18 d Which is the third biggest value? (a) 5 (b)
{ "pile_set_name": "DM Mathematics" }
t = 373/14 + g. Find k such that -1/7*k**3 - 2/7 + 5/7*k + t*k**4 - 3/7*k**2 = 0. -2, 1 Let i(j) be the second derivative of -j**4/54 + 74*j**3/27 + 25*j**2/3 + 387*j. Suppose i(m) = 0. Calculate m. -1, 75 Let h(w) = -w**2 + 5*w + 4. Let z(m) = 3*m**2 - 9*m - 7. Let j(v) = 5*h(v) + 2*z(v). Let j(q) = 0. Calculate q. -6, -1 Let v(k) be the third derivative of k**5/20 + 3*k**4/14 - 2*k**3/7 + k**2 - 6. Factor v(c). 3*(c + 2)*(7*c - 2)/7 Let b = 37 - 32. Factor -p**3 + 927*p**2 + 6*p**3 - 932*p**2 - 5*p**b + 5*p**4. -5*p**2*(p - 1)**2*(p + 1) Let x = 4/93657 - -499098125/655599. Let i = x - 760. Let 3/7*h**2 + 3/7*h**3 + 0*h + i*h**5 - 15/7*h**4 + 0 = 0. What is h? -1/3, 0, 1 Let a = 55463/11 + -5041. What is l in a*l + 0 - 2/11*l**3 + 2/11*l**2 = 0? -2, 0, 3 Let o(r) be the first derivative of r**7/280 - r**6/40 + r**5/20 + 4*r**2 - 1. Let k(x) be the second derivative of o(x). Suppose k(w) = 0. Calculate w. 0, 2 Factor -6*l**4 - 89*l**3 - 42*l**3 + 64*l**2 + 76*l**2 - 75*l**3. -2*l**2*(l + 35)*(3*l - 2) Suppose 0 = -q - 3*q + 8. Let n be q + (-48 + -4)/(-2). Factor -52*y**2 + n*y**2 - 6*y + 4 + 26*y**2. 2*(y - 2)*(y - 1) Let q(n) = -7*n - 37. Let m be q(-7). Let j(h) = 7*h - 80. Let v be j(m). Suppose 0 - 4/3*w**3 + 2/3*w**2 + 2/3*w**v + 0*w = 0. What is w? 0, 1 Let y = 25 - 22. Suppose 15*k + 7 - 3*k**3 + 8*k**y + 12*k**2 + 3*k**2 - 2 = 0. Calculate k. -1 Let a(z) be the second derivative of -1/150*z**5 + 0 + 1/30*z**4 + 2*z**2 - 2*z + 0*z**3. Let w(h) be the first derivative of a(h). Factor w(l). -2*l*(l - 2)/5 Suppose -2*m + 13 = 9. Factor -88*o**5 - 32*o**4 + 38*o**3 - 8*o**m + 100*o**5 - 10*o**3. 4*o**2*(o - 1)**2*(3*o - 2) Let h(s) = -3*s**3 + 12*s**2 + 10*s**3 - 8*s**3 - 11*s + 2. Let c be h(11). Suppose -20*b + 3*b**2 + 2*b**c + 0*b**2 = 0. Calculate b. 0, 4 Let h(m) be the second derivative of -m**5/30 + m**4/6 + m**3 + 47*m**2/2 + 46*m. Let k(n) be the first derivative of h(n). Suppose k(u) = 0. What is u? -1, 3 Let k be 4/((-16)/(-20)) + -1. Let j be (2/k)/((-8)/(-64)). Determine o, given that 5 + o**2 + 0*o - 5 - o**j + o - o**3 = 0. -1, 0, 1 Let l(w) be the first derivative of 3*w**4/4 - 5*w**3/2 - 13*w**2/6 - w/2 - 7. Find a, given that l(a) = 0. -1/3, -1/6, 3 Suppose 12 = 4*t - 0*t + 4*b, t - 6 = -2*b. Suppose 5*u - 22 = x, 2*x + t*u - u = 1. Suppose -c**4 + 2*c**4 + 4*c**x + c**4 + 3*c**5 - 9*c**5 = 0. What is c? -2/3, 0, 1 Let s(k) be the first derivative of k**4/4 - 4*k**3/3 + 3*k**2/2 + 3*k - 3. Let d be s(3). What is c in -7*c**3 - 7*c + d*c**4 + 3*c**2 + 10*c - 1 - 1 = 0? -2/3, 1 Let h(t) = -t**3 + 16*t**2 - t + 21. Let p be h(16). Let m be ((-62)/(-14) - p)/(-2). Factor 2/7*d + m*d**2 - 2/7 - 2/7*d**3. -2*(d - 1)**2*(d + 1)/7 Let s = -239 - -242. Let p(b) be the second derivative of b - 1/10*b**6 + 0*b**s + 0*b**2 + 0 + 9/20*b**5 - 1/2*b**4. Let p(d) = 0. What is d? 0, 1, 2 Factor -77*c - 23*c - 126*c**2 + 41*c**2 + 65*c**2 + 35*c**3. 5*c*(c - 2)*(7*c + 10) Let t(l) = 2*l**3 - 39*l**2 - 75*l - 34. Let d(n) = -2*n**3 + 38*n**2 + 76*n + 36. Let c(m) = -3*d(m) - 2*t(m). Factor c(v). 2*(v - 20)*(v + 1)**2 Let n(f) be the second derivative of -f**7/840 - f**6/120 - f**5/40 + f**4/2 - 10*f. Let v(l) be the third derivative of n(l). Determine o so that v(o) = 0. -1 Let t(n) = 2*n**3 + n**2 - 2*n - 1. Let f(w) = 20*w**3 + 17*w**2 - 10*w - 7. Let x(u) = -2*f(u) + 14*t(u). Find s such that x(s) = 0. -1, -2/3, 0 Let x be 10 - -3*4/(-12). Suppose 7*z - 4*z - x = 0. Factor 16*q - 15*q - z - q**2 + 5 + 0*q**2. -(q - 2)*(q + 1) Let l = -14 + 17. Let d(x) = l - 3*x**4 - 2 + 1 + 2*x. Let n(z) = z**5 - z**4 + z**3 - z - 1. Let m(b) = -d(b) - 2*n(b). Factor m(u). -u**3*(u - 2)*(2*u - 1) Let g(r) = -r**2 + 22*r - 5. Let d be g(16). Let z = -65 + d. Suppose 24*j**3 - 3 - 22*j**2 + z*j**4 + 3 - 8*j**4 + 4*j = 0. What is j? -2, 0, 1/3 Let o(u) = -1 - u + 4*u
{ "pile_set_name": "DM Mathematics" }
units digit of t(4)? 3 Suppose -4*j = -8727 + 3023. Suppose 0*s - 5*s - 2382 = -2*n, 2*n + j = -3*s. What is the units digit of s/(-36) - (-4)/(-18)? 3 Suppose z + 1 = 6. Suppose 0 = -z*d + 3*d - 2*i + 24, -5*d - 2*i = -48. Suppose 0*v + 2*v = d. What is the units digit of v? 4 Let h be (-3)/((10/6)/(-5)). Let i(c) = -4*c**2 - c. Let a be i(-1). Let m = h + a. What is the units digit of m? 6 Suppose x - 4*x = 12. What is the units digit of (0 + x)*(-4 - -3)? 4 What is the units digit of 3 - ((2 - 4) + -12)? 7 Let r be (-108)/(-16) - (-2)/8. What is the units digit of 1 + r - (-6)/(-3)? 6 Let g be 2/3 + 23/(-3). Let z(v) = v**3 + 8*v**2 + 4*v - 9. What is the units digit of z(g)? 2 Suppose -4*k + 5*c - 11 - 12 = 0, 0 = -4*c - 4. Let t = k - -6. What is the units digit of 3*1 + (t - 0)? 2 What is the units digit of 12 + 3 + -2 + 2? 5 Let s = -10 - -14. Suppose 5*q + 6 - 16 = 0, s*q = 5*t - 2. Suppose -5*p + 17 = 4*j - 7, -2 = -p + t*j. What is the units digit of p? 4 Suppose -8 = 2*o - 3*o. Let a be (10 + -4)*8/6. Suppose -4*w + o = -a. What is the units digit of w? 4 Suppose 3*y = -4*c + 8*c - 28, 8 = c - y. Suppose v + 2*s = 29, 0*v - c*v + s = -125. What is the tens digit of v? 3 Let q = -4 + 14. Suppose -m - m - 25 = -5*r, q = -2*m + 2*r. Suppose -w - w + 6 = m. What is the units digit of w? 3 Suppose -a + 5*a = 0. Suppose 3*z = 2*h + 15 + 21, 5*z + h - 47 = a. What is the tens digit of z? 1 Let p(k) = -k**2 + 5*k + 3. Let t be p(5). Suppose v - 10 = t*w + 2, 0 = -2*v - 3*w + 42. What is the units digit of v? 8 What is the tens digit of 3 + 2244/9 + (-1)/3? 5 Suppose 6*i + 5 = 4*i - l, 0 = -3*i - 3*l - 15. What is the units digit of i/5 - -1*10? 0 Suppose -3*a - 4*w = -5, 3*w = -3*a - 2*w + 4. Suppose -2*s - 2*p = 2*p - 4, 5*s + a*p - 17 = 0. What is the units digit of s? 4 Let w(f) = -f + 1. Let o be w(6). Let m(i) = -6*i - 5. What is the tens digit of m(o)? 2 Let g(z) = 4*z**2 - 2*z - 3. What is the tens digit of g(3)? 2 Let l(n) be the second derivative of -n**5/20 + 7*n**4/12 + 3*n**3/2 - n**2 - 3*n. Let k be 1/(-2) - (-34)/4. What is the units digit of l(k)? 6 Let z = -63 + 199. What is the hundreds digit of z? 1 Let q(w) = -w**2 + 39. Let l be q(0). Suppose 5*u = l + 21. What is the units digit of u? 2 What is the units digit of 2/8 + (-10945)/(-44)? 9 Suppose 3*t - 78 = -0*t. What is the units digit of t? 6 What is the hundreds digit of 1002/8 + (-2)/8? 1 Suppose 0 = -5*p - 0*p. Suppose p*o = 4*o - 12. What is the units digit of o? 3 Suppose 4*j = -3*m + 135 + 383, 2*m - 644 = -5*j. What is the tens digit of j? 2 Suppose -115 = -5*l + a, 3*a = -4*l + 126 - 34. Suppose 6*i = 7*i - l. What is the tens digit of i? 2 Let c(f) = -f**2 + 5*f - 2. Let q be c(5). What is the units digit of (q - 0) + (-27)/(-1)? 5 Let d(v) = -v**3 + 6*v**2 - 4*v + 2. Let n be d(4). Let z(h) = 2*h**2 + 4*h - 3. Let m be z(-5). Let x = m - n. What is the units digit of x? 9 Suppose 4*n = w - 230 + 46, 2*n - 942 = -5*w. What is the units digit of w? 8 Let k(q) = q**2 - 13. Let z be k(0). Let f = 19 + z. Let g = -3 + f. What is the units digit of g? 3 Let v(n) = n**3 + 2. Let w be v(0). Suppose 6 = 3*t - 4*o - w, t + 5*o - 9 = 0. What is the units digit of t? 4 Suppose -3*f + 24 = 3*k, 5*k = -0*k + 3*f + 40. Let r = -5 + k. Suppose -x = 2*x - 15, 0 = -3*i - r*x + 57. What is the units digit of i? 4 Let j = 8 - 4. Suppose -2*i - 10 = -5*b, b - 14 - 10 = -j*i. What is the units digit of b? 4 Let d = 2 + -1. Suppose -d = -c, 2*c - 3*c = -l - 3. Let o(a) = a**2 - 3*a - 1. What is the units digit of o(l)? 9 Suppose 4*u - 53 = -17. Let b = u + 12. What is the units digit of b? 1 Suppose 0 = -3*h + 4*h - 33. What is the tens digit of h? 3 Suppose -5 + 41 = 3*w. Let z = 42 - w. What is the tens digit of z? 3 Suppose 2*i + 3*i = 0. Suppose i = 3*k + 9 + 30. Let g = k - -21. What is the units digit of g? 8 Suppose i + 2*c + 10 = 0, -4*c = -3*i - 14 + 4. Let j(x) be the first derivative of -x**4/4 - 2*x**3 - x**2/2 + 2*x + 7. What is the units digit of j(i)? 8 Let m(d) = 3*d**2 + 2*d + 3. Let u(i) = -i**2 + i - 1. Let b(x) = m(x) + 4*u(x). Let t be b(4). Let o = t - 1. What is the units digit of o? 6 Suppose 4*i + 8 + 4 = 0. Let v be 2 + i*(2 + -3). Suppose -v*r + 2*r = -12. What is the units digit of r? 4 Suppose 3*s = s + 30. What is the tens digit of s? 1 Suppose r + k + 34 = 3*r, -2*r + 34 = 3*k. What is the units digit of r? 7 Let l(o) = -6*o**3 - 2*o**2. Let g be l(-2). What is the units digit of g/6 - (-12)/(-18)? 6 Let i be 5/(-10)*
{ "pile_set_name": "DM Mathematics" }
to w in y, i, 1/7? y Let a = -0.0996 - -0.1996. Let d = 6/23 - 76/115. What is the nearest to 1 in d, a, -2? a Let f = 1.96 + -7.96. What is the closest to -2/7 in f, 4, 2? 2 Suppose 5 = 5*v + 3*m - 6, -3*v + 11 = 4*m. Let g(t) = t + 2. Let n be g(v). Let r = -0.23 + -0.17. What is the nearest to n in 4, -2, r? 4 Let u = -2/43 + -125/86. Let s be 3*(-12 + 9)*1/(-3). Which is the nearest to -1/3? (a) -7 (b) s (c) u c Let m = 26 - 20. Let g = 11 - m. Which is the closest to 0.1? (a) 0.2 (b) -1/3 (c) g a Let h be (-2)/(-22)*-2 + 0. Let p = -2.666 - 0.134. Let o = -3 - p. Which is the closest to -0.2? (a) o (b) h (c) 5 a Let v be (-6)/(-1)*2/4. Suppose -j = -v*j. Let t = -16 - -11. Which is the nearest to t? (a) -3 (b) -0.1 (c) j a Let p = 2.0748 + -0.0748. Which is the closest to 2? (a) -0.2 (b) p (c) -1/8 (d) -6 b Let q(d) = d**3 + 5*d**2 + 2*d + 8. Let o be q(-5). Let t = 52 + -365/7. What is the nearest to 1 in t, o, -0.3? t Let n = 1.268 + 3.732. What is the nearest to -0.11 in 2/5, 3, 1, n? 2/5 Let t(i) = i**3 + 6*i**2 + i + 6. Let v be t(-6). Suppose v*j - 2*j + 36 = -2*u, -2*u = -8. Let p = j - 19. Which is the nearest to -2/3? (a) -5 (b) p (c) 2 c Let i = 3343/25 - 669/5. Let x = 0.3 + -0.5. Let m = -0.7 - x. What is the nearest to -2 in m, 4, i? m Suppose s - 5 = -2*d, 2*d - 4*s - 74 = -44. What is the closest to 1/2 in -0.1, d, 3? -0.1 Let z = 0.04 + 0.46. Let s = -8 + 7.2. Let i = z + s. Which is the nearest to 1/2? (a) i (b) -5 (c) 3 a Let c be ((-48)/24)/((-6)/(-1)). What is the nearest to c in -1/2, 2, -3? -1/2 Suppose 6*z - 3*k = 3*z + 24, 0 = -2*z + 4*k + 12. Suppose 5*a - 2*a + z = -d, -2*a = 6. What is the nearest to d in 0.5, 0, 2/5? 0 Let j = -0.061 + -75.939. Let g = j + 71. What is the nearest to -0.3 in 2/7, -0.4, g? -0.4 Let y(v) = -2*v - 10 - v - 5*v - v - v**2. Let k be y(-9). What is the nearest to 3 in 2, -4, k? 2 Let y = -738 - -2216/3. Let s be (-22)/(-12) + 6/(-18). Which is the nearest to y? (a) s (b) -5 (c) -4 a Let l = -0.1 + -0.3. Let g = -7374.94 + 7375. What is the closest to 1/3 in g, l, 0.3? 0.3 Suppose 4*d - 9 = d. Let g = 6 - 8. Let i = -0.25847 - 0.24153. Which is the nearest to -1/4? (a) d (b) i (c) g b Let r = 0.8989 - 0.7989. Let o be 2 - ((-8)/(-6))/2. Which is the closest to 0.02? (a) 4 (b) r (c) o b Let x = -337.1 + 337. Which is the closest to x? (a) -5 (b) -3 (c) 5 b Let b = 0.1 - 0.3. Let v = 47 + -47.21. Let h = -4.21 - v. What is the closest to b in -0.3, -2, h? -0.3 Let k = -0.42 - -0.02. Let h = 2.98 + 20.92. Let n = h + -24. What is the nearest to -1 in k, 0.2, n? k Let v = -646 - -566. What is the closest to v in 3, 2/19, 0.5? 2/19 Suppose -4*w = -4 - 12. Suppose 2*p + 5*o = -w, p = o + o + 7. Which is the nearest to 5? (a) 0.1 (b) p (c) 5 c Let j = 0.2 - -0.2. Let p = 14051/23 + -611. What is the nearest to -0.1 in -5, j, p? p Let n = 13 + -14. Let v = -1/28 - -61/140. What is the closest to v in 2, 4, n? n Let s = -2044.9 - -2045. Which is the nearest to s? (a) -2 (b) 7 (c) 9/7 (d) -2/9 d Suppose 3*s - 3*p + 5*p = -36, 4*s = 2*p - 48. Let z be 14/(-21)*s/28. What is the closest to z in 0.1, 0.16, -0.1? 0.16 Let s = -4337.06 + 4337. Let j = -2 + 7. Which is the closest to -1/4? (a) s (b) j (c) -0.3 c Suppose -3*x - 2 + 11 = 0. Let f be (x/(-18))/(3/(-6)). Let t = -1 - -1. What is the nearest to t in 1/2, f, 0? 0 Let d = 792 + -792.1. What is the nearest to -1 in -0.18, d, 2? -0.18 Suppose 0 = 2*q - 3*f, -4*q = -f + 3*f - 32. Let h be q/(-4)*(-20)/6. Suppose 5*z = -h*t + 15, t = -2*z - 1 + 9. What is the closest to t in 3, 5, -5? -5 Let r be 198/(-10) + 1/(-5). Which is the closest to 0? (a) 1 (b) r (c) -3 a Let u = -381 + 381.2. Which is the closest to 0? (a) -0.1 (b) u (c) 4 (d) -1/3 a Let i = -0.7 - -0.3. Suppose -20*v + 22*v - 14 = -5*u, u = -3*v + 8. What is the closest to -3 in i, u, -1/6? i Let b(x) = -x**2 - x + 6. Let g be b(2). Let p be (g - (4 + -3)) + 12/10. What is the closest to -0.4 in 3, 2, p? p Let l(x) = -x**3 - 9*x**2 - 15*x - 3. Let o(f) = -f**3 - f
{ "pile_set_name": "DM Mathematics" }
icking 3 i and 1 o when four letters picked without replacement from {i: 3, o: 3}? 1/5 Two letters picked without replacement from twoo. What is prob of picking 2 o? 1/6 Four letters picked without replacement from {j: 1, h: 2, a: 2, m: 1}. What is prob of picking 2 a and 2 h? 1/15 What is prob of picking 1 i and 1 g when two letters picked without replacement from qwpgi? 1/10 Calculate prob of picking 1 c and 1 m when two letters picked without replacement from clacallmm. 1/9 Three letters picked without replacement from {f: 3, b: 2, k: 2, t: 1, s: 3, o: 7}. Give prob of picking 1 k and 2 f. 1/136 Calculate prob of picking 2 z and 1 k when three letters picked without replacement from zkmm. 0 Four letters picked without replacement from {o: 1, k: 5, v: 3, t: 6, l: 2}. Give prob of picking 1 o, 2 t, and 1 v. 9/476 Calculate prob of picking 3 n when three letters picked without replacement from {w: 6, n: 4}. 1/30 What is prob of picking 2 u when two letters picked without replacement from wuu? 1/3 Calculate prob of picking 2 k when two letters picked without replacement from {w: 1, k: 2}. 1/3 Two letters picked without replacement from {v: 2, x: 7}. What is prob of picking 1 v and 1 x? 7/18 What is prob of picking 1 r, 1 n, and 1 z when three letters picked without replacement from {n: 9, p: 1, r: 2, z: 1}? 9/143 Two letters picked without replacement from {h: 1, m: 1, k: 1, s: 2}. Give prob of picking 2 s. 1/10 Three letters picked without replacement from kpyp. What is prob of picking 2 p and 1 y? 1/4 What is prob of picking 2 k, 1 r, and 1 n when four letters picked without replacement from {n: 11, k: 2, r: 2}? 22/1365 What is prob of picking 2 u and 2 l when four letters picked without replacement from ulqequullqllul? 90/1001 Four letters picked without replacement from {n: 3, z: 1, l: 1, y: 5, s: 1}. What is prob of picking 4 y? 1/66 What is prob of picking 1 d and 1 r when two letters picked without replacement from rdrrddrddddddd? 40/91 What is prob of picking 2 b and 2 g when four letters picked without replacement from {e: 4, g: 3, b: 13}? 78/1615 What is prob of picking 1 a, 1 h, 1 u, and 1 e when four letters picked without replacement from {h: 1, r: 3, a: 2, c: 3, e: 1, u: 1}? 1/165 Calculate prob of picking 2 n and 1 l when three letters picked without replacement from eeenneeenelnulyn. 1/28 Two letters picked without replacement from {z: 9, u: 1, i: 1}. What is prob of picking 1 i and 1 z? 9/55 Three letters picked without replacement from {o: 4, j: 5, k: 5}. Give prob of picking 2 j and 1 o. 10/91 Four letters picked without replacement from lppzqz. Give prob of picking 2 p and 2 z. 1/15 Two letters picked without replacement from jxjxjrzjssxxqr. What is prob of picking 1 s and 1 q? 2/91 Three letters picked without replacement from {i: 10, o: 4}. Give prob of picking 1 o and 2 i. 45/91 Two letters picked without replacement from lkyzkvzkkvlvlkkl. What is prob of picking 2 l? 1/20 Three letters picked without replacement from {j: 4, z: 1, p: 8, o: 6, c: 1}. Give prob of picking 1 z, 1 p, and 1 o. 4/95 Two letters picked without replacement from bbnbnbybnnb. What is prob of picking 2 b? 3/11 Calculate prob of picking 2 m when two letters picked without replacement from {h: 1, k: 2, y: 1, m: 3}. 1/7 Two letters picked without replacement from hhffthfhhhhhhftf. What is prob of picking 2 t? 1/120 Two letters picked without replacement from {b: 3, j: 5, x: 2, v: 3}. Give prob of picking 1 x and 1 b. 1/13 Two letters picked without replacement from mymlhythccll. Give prob of picking 1 y and 1 m. 2/33 Four letters picked without replacement from aabbabbabannaabbblba. What is prob of picking 3 b and 1 a? 224/1615 Two letters picked without replacement from rlnlrnrknrnoss. Give prob of picking 1 l and 1 n. 8/91 Calculate prob of picking 1 s and 2 h when three letters picked without replacement from {h: 3, u: 4, s: 5, l: 1}. 15/286 Calculate prob of picking 2 g when two letters picked without replacement from {y: 7, q: 7, g: 2, k: 2}. 1/153 What is prob of picking 2 m and 2 v when four letters picked without replacement from {m: 2, v: 3, b: 4}? 1/42 What is prob of picking 3 y when three letters picked without replacement from {y: 3, e: 2, o: 5}? 1/120 What is prob of picking 4 g when four letters picked without replacement from {g: 11, i: 9}? 22/323 Calculate prob of picking 3 y and 1 f when four letters picked without replacement from {t: 3, y: 4, f: 1, e: 2, o: 1}. 2/165 What is prob of picking 2 h when two letters picked without replacement from {h: 2, v: 7}? 1/36 Three letters picked without replacement from {g: 4, h: 7, t: 1, u: 4, k: 1}. Give prob of picking 2 h and 1 g. 21/170 What is prob of picking 1 u and 3 j when four letters picked without replacement from ojooouoojuoouuoopooj? 4/4845 Four letters picked without replacement from {g: 2, p: 4, t: 4, u: 9}. Give prob of picking 3 t and 1 u. 3/323 Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {q: 4, m: 1, s: 1, t: 1, h: 1}. 1/28 What is prob of picking 3 u when three letters picked without replacement from uububu? 1/5 Calculate prob of picking 3 d when three letters picked without replacement from {d: 5, f: 9}. 5/182 Four letters picked without replacement from {r: 5, z: 4, g: 2}. Give prob of picking 4 z. 1/330 What is prob of picking 1 c and 2 a when three letters picked without replacement from aaacac? 3/5 Three letters picked without replacement from {a: 4, d: 2, e: 3}. What is prob of picking 3 e? 1/84 What is prob of picking 1 s, 1 t, 1 b, and 1 z when four letters picked without replacement from {y: 1, z: 3, s: 3, b: 7, t: 4}? 7/85 Four letters picked without replacement from hxhxhxhhxh. What is prob of picking 3 h and 1 x? 8/21 Four letters picked without replacement from ayyyvyayyyva. What is prob of picking 1 a, 2 v, and 1 y? 7/165 Two letters picked without replacement from {h: 15, o: 5}. What is prob of picking 2 o? 1/19 What is prob of picking 1 d and 3 b when four letters picked without replacement from bbdbbdbdbbbbbbbbbdbb? 448/969 What is prob of picking 1 k and 1 y when two letters picked without replacement from {k: 3, c: 6, p: 4, y: 1}? 3/91 Two letters picked without replacement from {m: 5, x: 2, i: 2, y: 4}. Give prob of picking 2 y. 1/13 What is prob of picking 2 z and 1 t when three letters picked without replacement from tatzttttzttti? 9/286 Calculate prob of picking 2 x when two letters picked without replacement from bbboxxbbbb. 1/45 What is prob of picking 2 h when two letters picked without replacement from {d: 6, h: 2}? 1/28
{ "pile_set_name": "DM Mathematics" }
-61 Express 174 - 246 + w - 56 - 4*w as y*w + o and give o. -128 Express ((-5 - 2 + 5)*(-194*f + 21847 - 21847) - 4*f + 2*f + 3*f)*(-4*f**2 - 2*f**2 + 2*f**2) in the form h*f**3 + d + l*f + r*f**2 and give h. -1556 Rearrange 3213*c**4 - 4*c - 2*c**3 - 2*c**2 - 3214*c**4 - c**3 to the form r*c**3 + a + j*c**2 + v*c + m*c**4 and give j. -2 Rearrange (4 - 3 + 1)*(12 - 12 - 2*b**3)*(-b - 11*b + 17*b) to v*b + j*b**2 + q + g*b**4 + h*b**3 and give g. -20 Express (233*y - 335*y - 231*y)*(1 + 4*y - 2 - 6*y) in the form p*y**2 + z + s*y and give s. 333 Rearrange 190 - 84848*u - 25 - u**2 + 84849*u to q*u + b + g*u**2 and give g. -1 Rearrange -160*d + 28*d + 56*d - 145*d to y + v*d and give v. -221 Express 22 - 78 + 15 + 5*z + 35 + 29 as a + d*z and give a. 23 Rearrange 76*l**4 - 6*l - 2 - 15*l - 5*l + 28*l to o*l**4 + j*l**3 + n*l + a*l**2 + y and give n. 2 Express 31*p**4 - 5*p**4 - 8*p**4 - 8*p**4 + 5*p**2 - 8*p**4 - p**3 - 5*p as z + c*p + n*p**3 + s*p**2 + b*p**4 and give b. 2 Express 7969*a - 7969*a + 138*a**3 - 2*a**3 + 2*a - 2*a + (2*a**2 - 1 + 1)*(-2*a - 2 + 2) in the form r*a + t*a**2 + m*a**3 + x and give m. 132 Rearrange (-4*l**2 + 4*l - 4*l)*((2 + 1 - 4)*(4 - 2 + 0) - 7 + 21 - 41 + (0 - 5 + 3)*(-2 + 2 + 1)) to s*l + k*l**2 + x and give k. 124 Express -46 - 44 + 183*d**2 + 90 - 48*d**2 in the form c + w*d + i*d**2 and give i. 135 Rearrange 2*m**4 + 11*m**3 - 11*m**3 + 28*m + 38 - 3*m**2 - 30*m - 2*m**3 + 0*m**4 to the form r + d*m**3 + x*m**4 + p*m**2 + o*m and give o. -2 Rearrange (10 - 9 + 7)*(-6*l + l + 2*l)*(2*l + 8*l - 4*l) to b*l + i + n*l**2 and give i. 0 Rearrange -19 - 23*j**3 + 2*j**3 - 7*j**3 - 29 to the form x*j + k + a*j**2 + z*j**3 and give z. -28 Express -89*s - 115 + 121 + 30*s as q + j*s and give q. 6 Express -2*d**3 + 3*d**3 - 4746 + 45*d + 12*d**2 + 4745 in the form f*d**2 + i*d**3 + c + y*d and give i. 1 Rearrange -677 - 7*l + 2*l**2 + 12*l + 314 - 8*l to the form n + y*l**2 + i*l and give y. 2 Rearrange -8 - 13602*f**2 + 13611*f**2 + 1 to p + x*f**2 + q*f and give x. 9 Express -13*b**2 + b**2 + 4*b**2 - 15*b**2 + 26 - 6 as v*b + a + f*b**2 and give f. -23 Rearrange -4 - 6 + 13 + t + t**2 - 4*t + 31*t**4 to the form l*t + a*t**4 + c*t**2 + p*t**3 + u and give c. 1 Rearrange 248*h + 671*h - 197*h + 645*h to z + n*h and give n. 1367 Rearrange 9*u**4 - 19*u**4 - 2*u**2 + 34*u + 5*u**4 + 2*u**3 - 1 + 0*u**4 + 6*u**4 to the form l*u**2 + q*u**4 + h + k*u**3 + r*u and give k. 2 Rearrange (-37*p**2 + 168 - 168)*(0*p**2 - 44 + 9 + 2*p**2) to the form u*p**3 + z*p**2 + a + x*p**4 + m*p and give z. 1295 Express -15961 + 15961 + 7*u**2 + 62*u**3 + 2*u as z*u + c*u**3 + t + n*u**2 and give n. 7 Rearrange -2351*g + 1084*g + 1055*g to the form a + p*g and give p. -212 Rearrange 112*k**3 - 64*k**3 - k**2 + 2*k**2 - 9 - k**4 - 50*k**3 to the form b*k**4 + m + i*k**2 + z*k + s*k**3 and give b. -1 Rearrange -2*g + 1 + 6 - 5 + 14*g**2 to the form j*g + n + i*g**2 and give j. -2 Express (-97 - 33 + 278)*(5*q - 2*q - q - 1) as x*q + a and give x. 296 Rearrange -13*d + 19 + d + 6 - 16 to the form b*d + u and give b. -12 Express -3*k**4 + 0*k**4 + 2*k**4 + 9*k**4 + 11*k**4 + k**4 + (3 - 3 + 9*k**4)*(-2 - 2 + 3) as j + x*k + b*k**2 + t*k**3 + z*k**4 and give z. 11 Rearrange -658 + 10*f**3 + 2*f**4 - f**2 + 659 - 4*f**3 to the form a*f**2 + g*f**3 + h*f + d*f**4 + u and give d. 2 Rearrange (-1857 + 1857 + 20*b**3)*(2*b - 1 + 1) to the form c*b**3 + s*b + h*b**4 + r*b**2 + o and give h. 40 Rearrange -238*k**2 - 536 + 536 to the form r*k**2 + b + h*k and give r. -238 Rearrange 241*h**3 + h**4 - 2*h**4 - 245*h**3 + 2 + 2*h**2 + 0 to z*h**4 + u*h + j*h**2 + w + v*h**3 and give v. -4 Rearrange 66*y + 12 - 7 - 3 to a*y + s and give a. 66 Rearrange (0 - 3 - 1)*(0 - 4 + 3)*(0 + k + 0) to the form z*k + v and give v. 0 Rearrange (-2*x - x**3 + 2*x)*(-2 + 3 + 2)*(63*x - 5*x + 18*x) to the form i*x**4 + h + u*x**2 + n*x**3 + a*x and give i. -228 Express (3*o**2 - 3*o**2 - o**2)*(-3*o + 2*o - 2*o)*(-4 + 2 + 0) + 24*o**3 + 3*o**3 + 14*o**3 - o + 4*o
{ "pile_set_name": "DM Mathematics" }
What is -0.816323 rounded to three decimal places? -0.816 What is 4.9876083 rounded to two decimal places? 4.99 What is -0.000855701 rounded to 7 decimal places? -0.0008557 What is -918934.5 rounded to the nearest ten thousand? -920000 What is -121.16698 rounded to 1 decimal place? -121.2 Round -175562600 to the nearest 100000. -175600000 What is 0.0000004107 rounded to 7 decimal places? 0.0000004 Round -73.439 to the nearest one thousand. 0 Round -0.0000009307701 to seven decimal places. -0.0000009 Round -0.0000550695 to 6 decimal places. -0.000055 What is -0.00000467202 rounded to 5 dps? 0 Round -0.00005288057 to five dps. -0.00005 What is 47022.88 rounded to the nearest ten? 47020 Round 0.00000416808 to 7 dps. 0.0000042 What is 119045.21 rounded to the nearest 100000? 100000 Round -0.0076728 to 3 dps. -0.008 What is -0.00531112 rounded to 5 decimal places? -0.00531 Round -17004.127 to the nearest one thousand. -17000 What is -0.0000596593 rounded to six decimal places? -0.00006 What is 28.76672 rounded to the nearest integer? 29 Round -20994.61 to the nearest 1000. -21000 Round -0.1350664 to 2 decimal places. -0.14 Round -2390.249 to the nearest ten. -2390 What is 2472768000 rounded to the nearest one million? 2473000000 What is 5.768298 rounded to 2 dps? 5.77 What is -184504 rounded to the nearest one hundred thousand? -200000 Round -8261.611 to the nearest one hundred. -8300 What is -0.006757895 rounded to 3 decimal places? -0.007 What is 0.000002324602 rounded to seven decimal places? 0.0000023 What is 4347500 rounded to the nearest 100000? 4300000 What is -0.00002813837 rounded to six dps? -0.000028 Round -0.00003525167 to 6 dps. -0.000035 Round 16927 to the nearest one hundred thousand. 0 What is -81052000 rounded to the nearest one million? -81000000 What is -81.07332 rounded to one decimal place? -81.1 Round -0.0002643641 to seven decimal places. -0.0002644 Round 0.000154693 to 6 dps. 0.000155 What is -1797776 rounded to the nearest ten thousand? -1800000 Round 269841700 to the nearest 100000. 269800000 What is 55441.38 rounded to the nearest ten? 55440 What is -5.05893 rounded to two dps? -5.06 Round -353728.93 to the nearest 100. -353700 Round 0.32189006 to three decimal places. 0.322 Round 1383434500 to the nearest one hundred thousand. 1383400000 Round -363.3865 to one decimal place. -363.4 What is -13726330 rounded to the nearest 10000? -13730000 Round 328127 to the nearest ten thousand. 330000 Round -0.0286577 to five dps. -0.02866 Round -3.58676 to 1 decimal place. -3.6 Round 0.00000022415 to 6 dps. 0 What is 0.0164236 rounded to five dps? 0.01642 What is -868.118 rounded to 0 decimal places? -868 What is -0.00013287246 rounded to five decimal places? -0.00013 What is 0.00287799 rounded to five dps? 0.00288 What is -1148483 rounded to the nearest one thousand? -1148000 What is -32.86384 rounded to 1 decimal place? -32.9 Round 0.24106116 to three dps. 0.241 What is -2.259107 rounded to three dps? -2.259 Round 0.830006 to 2 dps. 0.83 What is -697960 rounded to the nearest 10000? -700000 What is 0.2502755 rounded to three decimal places? 0.25 What is -80000900 rounded to the nearest one hundred thousand? -80000000 Round -568096500 to the nearest one hundred thousand. -568100000 Round -58525 to the nearest ten thousand. -60000 What is -0.00000263633 rounded to 7 decimal places? -0.0000026 Round 431.9754 to one decimal place. 432 What is -1188.761 rounded to the nearest 1000? -1000 What is -0.000000249677 rounded to seven decimal places? -0.0000002 What is -0.01490784 rounded to three dps? -0.015 What is -4089.27 rounded to the nearest 10? -4090 What is -0.00001944747 rounded to seven decimal places? -0.0000194 Round 0.01187736 to four decimal places. 0.0119 Round 3874.44 to the nearest 100. 3900 Round -0.0773528 to four decimal places. -0.0774 Round 0.000076036 to 7 decimal places. 0.000076 What is 351355400 rounded to the nearest 1000000? 351000000 Round -18789458 to the nearest 10000. -18790000 Round -4698.03 to the nearest one thousand. -5000 What is 307.44244 rounded to 1 decimal place? 307.4 What is 0.0031316228 rounded to five decimal places? 0.00313 Round -111181000 to the nearest 100000. -111200000 What is 108771000 rounded to the nearest one million? 109000000 Round -0.00000475 to five dps. 0 Round 3670199 to the nearest 100000. 3700000 Round 1844790 to the nearest one hundred thousand. 1800000 What is -9635090 rounded to the nearest 1000000? -10000000 Round 0.0029848664 to six dps. 0.002985 What is -2058094 rounded to the nearest 100000? -2100000 What is 0.0008202 rounded to five decimal places? 0.00082 Round -0.0006018772 to 4 dps. -0.0006 What is -4.52195 rounded to 1 decimal place? -4.5 Round 171623.667 to the nearest ten thousand. 170000 Round 112396330 to the nearest one hundred thousand. 112400000 Round -480590 to the nearest 1000. -481000 Round 0.000492676 to 3 decimal places. 0 Round 2588883.1 to the nearest 1000. 2589000 Round -3.07958 to 1 dp. -3.1 Round 0.00019597 to three dps. 0 Round 203.74 to one dp. 203.7 What is 0.000197859 rounded to six dps? 0.000198 Round 7.41552 to the nearest integer. 7 What is 1.8514196 rounded to two decimal places? 1.85 What is 170.66706 rounded to the nearest 10? 170 What is 0.00001026155 rounded to 7 dps? 0.0000103 What is -0.18002753 rounded to 3 decimal places? -0.18 Round 0.0003795 to four dps. 0.0004 Round 1038.445 to the nearest 100. 1000 What is 42.5458 rounded to the nearest 10? 40 What is -495318.6 rounded to the nearest ten thousand? -500000 Round 0.07259661 to two decimal places. 0.07 Round -0.13042449 to three decimal places. -0.13 Round 38276.111 to the nearest one thousand. 38000 Round -157.272 to the nearest one hundred. -200 What is -497223 rounded to the nearest 10000? -500000 What is 0.004296327 rounded to five dps? 0.0043 Round -0.00081075 to six dps. -0.000811 Round 0.00045368 to 5 dps. 0.00045 Round -142004.9 to the nearest ten thousand. -140000 What is 58207420 rounded to the nearest one million? 58000000 What is 12.8
{ "pile_set_name": "DM Mathematics" }
0? 1334121 In base 15, what is -5 - 2b9cc? -2b9d2 In base 8, what is 2 - 47254? -47252 In base 6, what is 13541 - 10? 13531 In base 14, what is -1 - 89b91? -89b92 In base 16, what is 64 - 1739? -16d5 In base 16, what is 15b2 - 4? 15ae In base 16, what is 36401 - 8? 363f9 In base 2, what is 100 + -1100111010? -1100110110 In base 15, what is 0 - -10ccb? 10ccb In base 7, what is 54 + 664? 1051 In base 12, what is 4652 + 256? 48a8 In base 13, what is -a38 - 7? -a42 In base 4, what is -303 + 13002121? 13001212 In base 13, what is 32c + 1b36? 2165 In base 15, what is 5de + 5b? 64a In base 16, what is -8 - -666b? 6663 In base 3, what is 122222221120 - 12? 122222221101 In base 13, what is -45 - 7388? -7400 In base 11, what is 148a + 6a? 1549 In base 4, what is 103221112 - 21? 103221031 In base 16, what is 70164 - -3? 70167 In base 15, what is 30 + -1d0? -1a0 In base 14, what is -6085 + -c? -6093 In base 13, what is -7 - -51ca1? 51c97 In base 13, what is 28c0 + -2? 28bb In base 9, what is -130074 - -2? -130072 In base 12, what is -23 - -4002a? 40007 In base 13, what is 6ab + -7? 6a4 In base 15, what is 444 + 6d6? b2a In base 10, what is 6 - -3627? 3633 In base 2, what is 110011000 - -10? 110011010 In base 14, what is -5 + -157807? -15780c In base 16, what is 3 + -c7e7? -c7e4 In base 4, what is -100233 + 23? -100210 In base 12, what is 2 - 5a9a? -5a98 In base 9, what is -306085 - 4? -306100 In base 3, what is 2021211121 - -1102? 2021220000 In base 7, what is 5 - -26564? 26602 In base 11, what is -10203 + -33? -10236 In base 3, what is 200202 - 22020? 101112 In base 15, what is 4ebc - -ed? 50ba In base 15, what is 155b5 - -1? 155b6 In base 10, what is -4 - 24145? -24149 In base 7, what is 400 - -3333? 4033 In base 15, what is -5 + 315? 310 In base 11, what is 78549 + 7? 78555 In base 8, what is 527 - -1146? 1675 In base 14, what is -13 - db7? -dca In base 12, what is 12b2 - 329? b85 In base 4, what is -133210000 - -3? -133203331 In base 14, what is 13b40 + 0? 13b40 In base 2, what is -101111010 + -11100110? -1001100000 In base 16, what is 2db + 8c? 367 In base 14, what is -7 + -66bb3? -66bba In base 11, what is 1a1027 + -4? 1a1023 In base 14, what is -17ca + -8? -17d4 In base 16, what is 1 - 230a? -2309 In base 15, what is -8 - -58b? 583 In base 6, what is -4 - -245324? 245320 In base 15, what is 3700 + -5? 36ea In base 3, what is -21022 + -1100111? -1121210 In base 16, what is -756 + -3? -759 In base 12, what is -2b756 - -55? -2b701 In base 4, what is -12 + 11131120? 11131102 In base 16, what is 0 + -b43cf? -b43cf In base 13, what is 1 + 13180? 13181 In base 3, what is 10122112010202 + -1? 10122112010201 In base 5, what is -43011 - 3141? -101202 In base 15, what is -41ec - 5? -4202 In base 16, what is 7df - 2f? 7b0 In base 8, what is 17401325 + -2? 17401323 In base 9, what is 268303 - 3? 268300 In base 3, what is 0 - 10121102010? -10121102010 In base 10, what is 5 + 387851? 387856 In base 9, what is 5 + -11567? -11562 In base 11, what is 28 - -6049? 6076 In base 12, what is -30081 + 1? -30080 In base 3, what is 2220111 - -220? 2221101 In base 2, what is 10001010010 + -11? 10001001111 In base 8, what is -171 + -157? -350 In base 10, what is -18 - 1633? -1651 In base 10, what is -553 + 8637? 8084 In base 15, what is -4 + 291d? 2919 In base 10, what is 30529 + 1? 30530 In base 4, what is 11112 + -31023? -13311 In base 16, what is -231 - -14? -21d In base 14, what is -231c2 + 0? -231c2 In base 3, what is 1120202020121 + 2? 1120202020200 In base 16, what is -96 + 143? ad In base 13, what is 3 - -1b047? 1b04a In base 16, what is -472 - be? -530 In base 4, what is -23030301202 + -11? -23030301213 In base 5, what is -101443 - 2? -102000 In base 6, what is -3 + 523255? 523252 In base 8, what is 341676 - 5? 341671 In base 9, what is 2655605 + -2? 2655603 In base 5, what is -2124 + -143? -2322 In base 12, what is -3 + -39bb1? -39bb4 In base 8, what is -1 + 426050? 426047 In base 3, what is -1120211100101 + 11? -1120211100020 In base 12, what is 34 + -5ba01? -5b989 In base 9, what is 2722284 - 0? 2722284 In base 3, what is 102202221 + -101? 102202120 In base 11, what is 894 - 42? 852 In base 9, what is -17 + 24882? 24864 In base 14, what is -b1530 + -2? -b1532 In base 12, what is 4 + -233b? -2337 In base 4, what is 222201 - -30? 222231 In base 12, what is -1036 - 24? -105a In base 14, what is 29 + -63? -38 In base 3, what is 1 + 10121212002? 10121212010 In base 2, what is -111001101100010 + -10? -111001101100100 In base 14, what is -454 - -13d? -315 In base 10, what is -201443 + 0? -201443 In base 4, what is -121 + -2301131? -2301312 In base 11, what is 5 + -17060?
{ "pile_set_name": "DM Mathematics" }
= 51*t + 4. Let o be a(7). What is the greatest common factor of 19 and o? 19 Suppose 5*s - 172 - 140 = 3*i, -5*i = -4*s + 260. Suppose 0 = -g - n + 12, 5*g - n - s = -2*n. What is the highest common factor of 8 and g? 4 Let n be ((-4)/(-3) + 2)*-93. Let t = -533 - n. Let v = -157 - t. Calculate the greatest common divisor of v and 6. 6 Suppose -4*s + 4*u + 793 = -719, -5*s - 3*u + 1866 = 0. Let a be (s/100)/(2/24). Calculate the greatest common divisor of 30 and a. 15 Suppose -37*s = -35*s - 90. Calculate the highest common factor of s and 120. 15 Let i = 678 - 533. What is the highest common divisor of 25 and i? 5 Let u(v) = -v - 6*v - v + 4*v + 6 + v**3 + 5*v**2. Let l be u(-6). Let k be (108/24)/(l/(-8)). What is the greatest common factor of k and 24? 6 Let l = -135 + 304. What is the greatest common factor of 13 and l? 13 Let t(c) = 12*c**2 - 4*c + 4. Let q be t(1). Calculate the greatest common divisor of 204 and q. 12 Let k = -6 - -15. Suppose 11*b = k*b + 96. What is the greatest common divisor of 16 and b? 16 Suppose 4*f = p - 0*p - 18, -f + 38 = 4*p. Let w(s) = -3*s**2 + 5*s - 8. Let c be w(4). Let z = c + 56. What is the greatest common factor of z and p? 10 Let w = 128 - -647. Calculate the greatest common factor of 93 and w. 31 Suppose -4*c + 2*u = 5*u + 24, 12 = -3*u. Let r be (-24)/5*(-27 + c)/1. What is the highest common divisor of 18 and r? 18 Let h(y) = -y**2 - 91*y - 856. Let r be h(-11). Suppose b - 4*b - 804 = -3*c, 5*b = c - 284. Calculate the highest common divisor of c and r. 24 Let p be ((-34)/8)/((-2)/8). Let k be 4/(-2) - 108/(-6). Let q be 309/9 - (k/12)/4. Calculate the greatest common divisor of q and p. 17 Suppose 282 = 120*n - 2598. Let x(v) = -v**2 + 9*v - 6. Let d be x(6). Calculate the highest common factor of n and d. 12 Let h(v) be the second derivative of -79*v**5/4 + v**4/12 + v**3/6 + v**2/2 + 33*v. Let a be h(-1). What is the greatest common divisor of a and 36? 36 Suppose h + 10 - 4 = 0. Let f be (h - -5)/(3 + -4). Calculate the highest common divisor of 1 and f. 1 Let o be 150 + -1 - (-60)/15. Calculate the greatest common factor of 27 and o. 9 Let q be -350*(-32)/(-40)*-5. Calculate the greatest common factor of q and 7. 7 Suppose u - 6*u - 20 = 0. Let g(r) = 2*r**2 - 6*r - 1. Let q be g(u). Let i be q/(2/2)*1. What is the greatest common divisor of 5 and i? 5 Suppose -u - 16 = 8. Let p be (5/(-20))/(2/u). Let m(l) = -l**2 + 12*l - 29. Let v be m(8). Calculate the greatest common divisor of p and v. 3 Suppose -226 = -3*l - 4*v, 8*v = 5*l + 5*v - 425. What is the greatest common factor of l and 738? 82 Let y(d) = d**3 - 21*d**2 - 46*d + 2. Let b be y(23). Suppose 0 = k + b*k - 648. What is the highest common factor of 27 and k? 27 Suppose y + 0 - 16 = 0. Let r be y/(-8) - 4/2. Let z be 110/r*42/(-35). Calculate the greatest common factor of 11 and z. 11 Suppose 5*f - 11 = -3*b + 2*b, -3*b = f - 5. Suppose -2*x - 2*w = 36 - 0, 3*x - f*w + 79 = 0. Let m = x + 39. What is the highest common factor of m and 112? 16 Let l = -10 + -22. Let w = 42 + l. What is the greatest common divisor of w and 25? 5 Let o = -47 - -53. Let u(k) = k**3 - 6*k**2 + 7*k - 6. Let c be u(6). Calculate the highest common factor of o and c. 6 Let f = 89 - 129. Let r = f + 115. What is the highest common factor of r and 15? 15 Let h(f) = -3*f**2 + 5*f - 5. Let n be h(3). Let z = 35 + n. Suppose -3*i + i + 3*c = -30, 2*i = -5*c + 46. What is the greatest common factor of z and i? 18 Suppose -2*w = 4*b - 70, 4*w - 2*b = -0*b + 150. Let v = w - 15. What is the highest common factor of 2 and v? 2 Suppose 2 + 68 = 7*a. Suppose 30 = 4*d - a. Calculate the highest common divisor of 4 and d. 2 Suppose -r = r - 4. Suppose -9 = -3*g - 5*k, r*k + 25 = 2*g - k. Suppose g*q - 210 = 5*q. What is the highest common factor of 10 and q? 10 Let g(w) = 6*w**2 + 12*w + 47. Let d be g(8). Calculate the highest common divisor of d and 31. 31 Let y(w) = 5*w**3 + 17*w - 16*w - w**2 - 2*w**2. Let t be y(2). Let z = t - 9. What is the highest common divisor of z and 14? 7 Let j be -4*3/(-12)*133. Calculate the greatest common divisor of 152 and j. 19 Suppose 25*j - 31 = 24*j. Calculate the highest common factor of 217 and j. 31 Suppose 15*j = 46 + 14. Let r be (6/j)/3 + (-1462)/(-68). Let o(m) = -23*m - 1. Let q be o(-1). What is the highest common divisor of q and r? 22 Let j be (6 + -2 + 1)*-1. Let o = 114 + -89. Let a = o + j. Calculate the highest common factor of a and 20. 20 Let h be 1/(-11) + 13425/55. Calculate the highest common factor of 183 and h. 61 Let a = -73 - 59. Let m be 1/(-5) + a/(-10). Let y(c) = -45*c + 1. Let l be y(-2). Calculate the highest common factor of l and m. 13 Let x = -8 + 11. Suppose 3 = -x*t + 9. Suppose -3*z + 51 = -0*n - 3*n, z = t*n + 22. Calculate the greatest common divisor of 84 and z. 12 Suppose 5*d + 328 = -4*h, -5*h - d + 6*d - 455 = 0. Let a = 25 - h. Suppose -3*c + 48 = -0*c. What is the highest common divisor of c and a? 16 Suppose -3*f = -h, 0 = 4*h + 2*f - 5*f. Suppose 2*w - 4*w + 14 = h. Suppose -3*g + 186 - 39 = 0. Calculate the greatest common divisor of g and w. 7 Suppose -2*z = z - 30. Let k(s) = 54*s + 1154. Let i be k(-21). Calculate the greatest common divisor of z and i. 10 Suppose 0 = -2*j - 0*
{ "pile_set_name": "DM Mathematics" }
- 527892339844. -4*(q + 363281)**2 Solve -14*u**5/15 + 10*u**4 - 388*u**3/15 + 116*u**2/15 + 134*u/5 - 266/15 = 0. -1, 1, 19/7, 7 Let 2*c**3/17 + 1534*c**2/17 - 6168*c/17 = 0. Calculate c. -771, 0, 4 Factor -h**2 + 545*h + 546. -(h - 546)*(h + 1) Suppose k**5/3 + 158*k**4/3 + 2945*k**3/3 - 6368*k**2/3 + 1088*k = 0. What is k? -136, -24, 0, 1 Find z, given that 3*z**4 - 2166*z**3 + 368691*z**2 + 8044764*z + 39640608 = 0. -12, -8, 371 Let -2*y**4/11 + 324*y**3/11 - 14346*y**2/11 + 8960*y - 12936 = 0. What is y? 2, 6, 77 Factor q**3/2 - 43*q**2 - 7477*q/2 + 7645. (q - 139)*(q - 2)*(q + 55)/2 Let -2*a**3/17 - 6516*a**2/17 + 85046*a/17 = 0. What is a? -3271, 0, 13 Factor v**2 - 23826*v + 141919569. (v - 11913)**2 Let w**4 + 9*w**3 - 895*w**2 + 5019*w - 7326 = 0. Calculate w. -37, 3, 22 Factor 4*u**2 + 417852*u + 835688. 4*(u + 2)*(u + 104461) Factor s**3 - 1472*s**2 + 501396*s + 30193488. (s - 762)**2*(s + 52) Factor 4*p**3/3 + 4019*p**2/3 + 66179*p/3 - 16796/3. (p + 17)*(p + 988)*(4*p - 1)/3 Factor -w**2/2 + 88491*w - 7830657081/2. -(w - 88491)**2/2 Let -5*t**4 - 380*t**3 - 6145*t**2 - 11170*t - 5400 = 0. What is t? -54, -20, -1 Factor -2*s**4/5 + 126*s**3/5 + 52136*s**2/5. -2*s**2*(s - 196)*(s + 133)/5 Factor f**2 - 9510*f - 95200. (f - 9520)*(f + 10) Let -s**3/3 - 137*s**2 + 138*s + 824/3 = 0. What is s? -412, -1, 2 Factor x**3/7 - 3023*x**2/7 - 6049*x/7 - 3025/7. (x - 3025)*(x + 1)**2/7 Let -4*b**3 + 37068*b**2 - 74124*b + 37060 = 0. What is b? 1, 9265 Factor -g**2/4 - 170339*g/4 - 85169/2. -(g + 1)*(g + 170338)/4 What is g in -2*g**4/3 + 1030*g**3/3 - 7014*g**2 + 145922*g/3 - 338884/3 = 0? 7, 494 Factor -2*j**3/5 - 144*j**2/5 + 1106*j/5. -2*j*(j - 7)*(j + 79)/5 Determine g so that -g**5/4 + 5161*g**4/4 + 36193*g**3/4 - 87865*g**2/4 + 11628*g = 0. -9, 0, 1, 5168 Factor -k**2/10 - 1433*k/10 - 22416/5. -(k + 32)*(k + 1401)/10 Factor 2*y**5 + 18*y**4 - 2*y**3 - 18*y**2. 2*y**2*(y - 1)*(y + 1)*(y + 9) What is w in -4*w**5 + 40*w**4 + 184*w**3 - 1408*w**2 - 4788*w - 3240 = 0? -5, -2, -1, 9 Determine b, given that 2*b**3/5 - 172*b**2 + 109056*b/5 - 3391488/5 = 0. 46, 192 Find d such that -d**2/7 - 2*d/7 + 57 = 0. -21, 19 Factor -l**3/3 + 1916*l**2/3 - 19085*l/3 + 47650/3. -(l - 1906)*(l - 5)**2/3 Solve -5*w**2 + 145*w + 5610 = 0 for w. -22, 51 Let -3*w**5 - 90*w**4 - 384*w**3 + 9522*w**2 + 89235*w + 178200 = 0. Calculate w. -15, -8, -3, 11 Suppose w**5/2 - 195*w**4 - 11705*w**3/2 + 195*w**2 + 5852*w = 0. Calculate w. -28, -1, 0, 1, 418 Suppose -5*x**4 - 4850*x**3 - 14485*x**2 + 19340*x = 0. What is x? -967, -4, 0, 1 Suppose 4*l**3/3 - 92*l**2/3 - 1800*l = 0. What is l? -27, 0, 50 Let 5*c**5 - 1350*c**4 - 8280*c**3 = 0. Calculate c. -6, 0, 276 Determine x, given that 5*x**4 + 3435*x**3 + 207265*x**2 + 3176085*x - 3386790 = 0. -622, -33, 1 Determine h so that 2*h**2/11 + 224*h/11 - 928/11 = 0. -116, 4 Solve 27*u**5 - 1884*u**4 + 13404*u**3 - 23712*u**2 - 5952*u = 0 for u. -2/9, 0, 4, 62 Find y such that -5*y**3 + 1295*y**2 - 5115*y + 3825 = 0. 1, 3, 255 Solve -b**4 - 5703*b**3 - 8280075*b**2 - 422973125*b = 0 for b. -2825, -53, 0 What is f in 5*f**5 - 145*f**4 + 1015*f**3 - 1115*f**2 - 2280*f = 0? -1, 0, 3, 8, 19 Solve 192303*i**2/5 - 8554*i + 8/5 = 0 for i. 4/21367, 2/9 Factor 2*t**2/11 - 796582*t/11. 2*t*(t - 398291)/11 Solve z**2/7 + 96*z/7 - 1296/7 = 0 for z. -108, 12 Factor 2*s**2/5 + 1286*s/5 + 157112/5. 2*(s + 164)*(s + 479)/5 Solve a**2 - 6855*a - 6856 = 0 for a. -1, 6856 Determine o so that 2*o**4 + 114*o**3 + 622*o**2 - 31746*o = 0. -37, -33, 0, 13 Let -2*h**4 + 726*h**3 - 95658*h**2 + 5335234*h - 102903612 = 0. Calculate h. 42, 107 Suppose -3*d**4 - 3561*d**3 - 1047780*d**2 + 5313936*d - 4262592 = 0. What is d? -596, 1, 4 Factor -5*h**2 - 1681765*h - 1681760. -5*(h + 1)*(h + 336352) Find n, given that -98283*n**5/2 - 8850
{ "pile_set_name": "DM Mathematics" }
s the closest to 2/31 in -1, -39, 3/7, -0.029, -2/11, 2/15? 2/15 What is the nearest to 2/7 in 2208, 0, -132? 0 Which is the closest to 64? (a) 2/15 (b) 1/5 (c) 756 (d) 0.5 (e) 5/2 e What is the nearest to -67 in -5/4, -0.3, -23, 18? -23 Which is the closest to 0? (a) 30/7 (b) -2/9 (c) 5 (d) 14 (e) 8 b What is the closest to -4 in 93, -2, 1, -3.82, 3? -3.82 Which is the closest to 2/33? (a) -113 (b) -1/3 (c) 37/5 (d) -0.2 (e) 2/15 e What is the nearest to -19 in -16, 4, -5, 0.14? -16 What is the closest to -0.37 in 2266/9, 0, -0.2? -0.2 What is the nearest to -1/4 in -0.10099, -3/2, -0.3? -0.3 What is the nearest to -0.3 in 3.1, 5, -30, -18/5? -18/5 Which is the nearest to 9? (a) 2 (b) -12 (c) -5 (d) 0.83 (e) -0.35 a Which is the nearest to -1/8? (a) 99 (b) -11 (c) -137/3 b Which is the closest to -3/314? (a) 0.04 (b) -4.1 (c) -1/8 (d) 0.3 (e) -1/2 a What is the nearest to -0.85 in -2/3, -0.1, 0.09, 7289? -2/3 What is the closest to -1 in -11.18, -3, 5/707? 5/707 What is the closest to -1/5 in 4, -0.3, -91, -4, -2142.4? -0.3 Which is the nearest to -2? (a) 1/10 (b) -0.1 (c) 1.804762 b Which is the closest to 1.6? (a) 5/11 (b) -3 (c) 5 (d) -4 (e) 17/2 a What is the nearest to -2/5 in 0.4, -16.47, 1/5, -2/5, -2/17, 16/11? -2/5 What is the closest to 0.2 in -9, 0.2, -286714? 0.2 What is the nearest to 0.295 in -18, 5, 56, -0.09? -0.09 Which is the nearest to 175? (a) -15 (b) -0.6 (c) -1 (d) 2/13 d Which is the nearest to -1192? (a) 0.69 (b) 1/3 (c) 11 (d) -1/3 d Which is the nearest to -1? (a) -3/10 (b) -1/2 (c) 0.4 (d) -2/43 (e) 2513 b What is the closest to 31.6 in 289, 2, -2/19, 1.4, 3? 3 Which is the nearest to 13.5? (a) -7/2 (b) -0.3 (c) 0.6 c Which is the nearest to -1? (a) -10/11 (b) -1/2 (c) -0.4 (d) 4 (e) -1/80055 (f) 0 a What is the nearest to -5/3002 in 16/5, -6/13, 3/7? 3/7 What is the closest to 20 in 0.5, -4, -1/2, 638? 0.5 What is the closest to -1/3 in 2/9, 285/8, -9/16? -9/16 Which is the nearest to -0.1? (a) 39 (b) -194 (c) -3 (d) 5 (e) 11 (f) 10 c What is the nearest to 128 in 15, 34, 12? 34 What is the nearest to -1/3 in 8, 698, -0.5, 10.33? -0.5 Which is the closest to -10.65? (a) -6 (b) -1 (c) -0.3 (d) 4149 a Which is the closest to 0.40282? (a) 8 (b) -0.3 (c) 2/35 (d) 5 c What is the nearest to -2100622 in -1, -5, 3/37? -5 What is the closest to -1 in -2611/2, 1/7, -11, 0.4? 1/7 What is the closest to -14 in -3/4, 14, -15.5, -0.15, -2, 0.5? -15.5 What is the closest to -522 in -5, -2, 0.4, -0.1, 1? -5 What is the closest to 0.3 in -12, 3, -2, -7/206? -7/206 Which is the nearest to -8? (a) 1/3 (b) 2/39 (c) 7/5 (d) 3/97 d Which is the closest to 21583? (a) 4.3 (b) -2 (c) 5 (d) -0.4 c Which is the closest to -28? (a) -1/2 (b) 0.08 (c) 2 (d) 0 (e) 3.1 a Which is the nearest to -0.059? (a) -1/13 (b) 0.62 (c) -1 (d) 10 (e) -5 (f) 0.4 a Which is the nearest to 1? (a) 9 (b) -9 (c) 1.55 (d) 2/17 (e) 2/45 c Which is the nearest to 2? (a) -15/16 (b) 2 (c) 3 (d) 0.2 b What is the nearest to 1 in 0, 4, -1/3, 2/17, 24? 2/17 What is the nearest to -0.1 in -70/181, -4, -8/5, 0, -2/5? 0 What is the closest to -1 in -0.5, -4, -1/4, -1067931, 18? -0.5 Which is the nearest to -0.1? (a) -2/5 (b) -1/2 (c) 0.04 (d) -2/3 (e) 45184 (f) -1/6 f What is the nearest to 1 in 2/75, 2/65, 0.049, -0.03, -3/7? 0.049 What is the nearest to 220/3 in -10/3, 0.4, 67.98, -1? 67.98 What is the nearest to -1 in -5101, 45, -2, -0.5, -5/4? -5/4 What is the nearest to -7.62 in 18499, 0.2, 4? 0.2 What is the nearest to 5 in -2995, -165, -17? -17 Which is the closest to -0.1? (a) -2 (b) 121 (c) -4637 (d) -3/8 (e) 0.5 d Which is the nearest to 9? (a) 0 (b) -8 (c) 0.16 (d) 2/7 (e) -3 d What is the closest to 0.0867 in -296, -124, 2/5? 2/5 Which is
{ "pile_set_name": "DM Mathematics" }
t is 467 minutes after 6:14 AM? 2:01 PM How many minutes are there between 5:57 AM and 1:51 PM? 474 What is 670 minutes before 9:25 PM? 10:15 AM How many minutes are there between 5:25 AM and 10:47 AM? 322 What is 237 minutes before 2:45 AM? 10:48 PM How many minutes are there between 8:30 PM and 6:16 AM? 586 What is 91 minutes before 10:58 PM? 9:27 PM How many minutes are there between 6:05 AM and 2:50 PM? 525 What is 155 minutes after 6:11 AM? 8:46 AM What is 388 minutes after 9:55 PM? 4:23 AM How many minutes are there between 2:32 PM and 5:18 PM? 166 How many minutes are there between 1:39 PM and 5:30 PM? 231 What is 610 minutes after 5:36 PM? 3:46 AM What is 135 minutes before 3:15 PM? 1:00 PM How many minutes are there between 11:19 PM and 10:52 AM? 693 How many minutes are there between 3:43 PM and 3:54 PM? 11 How many minutes are there between 7:08 PM and 2:36 AM? 448 How many minutes are there between 7:20 AM and 6:03 PM? 643 What is 490 minutes before 4:24 AM? 8:14 PM What is 647 minutes after 4:25 PM? 3:12 AM How many minutes are there between 8:38 AM and 3:03 PM? 385 How many minutes are there between 10:09 PM and 2:55 AM? 286 How many minutes are there between 9:39 PM and 10:15 PM? 36 How many minutes are there between 6:44 AM and 1:24 PM? 400 What is 424 minutes after 1:34 PM? 8:38 PM What is 148 minutes before 8:53 PM? 6:25 PM How many minutes are there between 4:56 AM and 1:07 PM? 491 How many minutes are there between 3:25 PM and 11:15 PM? 470 What is 320 minutes after 12:56 AM? 6:16 AM How many minutes are there between 11:50 PM and 2:14 AM? 144 What is 595 minutes after 4:15 PM? 2:10 AM How many minutes are there between 11:58 AM and 12:09 PM? 11 What is 12 minutes before 10:10 PM? 9:58 PM What is 159 minutes after 9:33 PM? 12:12 AM How many minutes are there between 7:24 AM and 8:08 AM? 44 How many minutes are there between 6:27 PM and 7:43 PM? 76 How many minutes are there between 6:01 AM and 4:17 PM? 616 How many minutes are there between 3:11 PM and 12:58 AM? 587 How many minutes are there between 4:57 AM and 2:17 PM? 560 What is 264 minutes before 7:35 PM? 3:11 PM How many minutes are there between 4:15 AM and 9:39 AM? 324 What is 264 minutes after 1:32 AM? 5:56 AM What is 481 minutes after 7:27 AM? 3:28 PM How many minutes are there between 1:54 AM and 9:48 AM? 474 What is 646 minutes after 3:14 AM? 2:00 PM How many minutes are there between 3:55 PM and 1:41 AM? 586 What is 708 minutes before 4:28 PM? 4:40 AM How many minutes are there between 7:56 PM and 9:59 PM? 123 How many minutes are there between 8:22 PM and 7:53 AM? 691 What is 40 minutes before 11:20 PM? 10:40 PM What is 10 minutes after 4:08 AM? 4:18 AM What is 279 minutes before 4:26 AM? 11:47 PM What is 38 minutes after 7:09 AM? 7:47 AM What is 496 minutes after 2:42 AM? 10:58 AM What is 625 minutes after 5:21 PM? 3:46 AM How many minutes are there between 4:56 PM and 2:20 AM? 564 How many minutes are there between 2:08 AM and 6:51 AM? 283 What is 289 minutes after 5:23 PM? 10:12 PM What is 97 minutes after 4:04 PM? 5:41 PM How many minutes are there between 7:06 PM and 6:01 AM? 655 How many minutes are there between 1:53 PM and 11:38 PM? 585 How many minutes are there between 5:45 PM and 11:52 PM? 367 How many minutes are there between 12:50 PM and 12:45 AM? 715 How many minutes are there between 7:38 AM and 5:30 PM? 592 What is 445 minutes after 12:58 PM? 8:23 PM What is 493 minutes before 2:46 AM? 6:33 PM What is 176 minutes before 8:37 AM? 5:41 AM What is 623 minutes before 7:11 PM? 8:48 AM How many minutes are there between 10:07 PM and 2:44 AM? 277 How many minutes are there between 3:34 AM and 4:13 AM? 39 How many minutes are there between 12:06 PM and 11:06 PM? 660 What is 145 minutes after 4:49 AM? 7:14 AM How many minutes are there between 7:45 AM and 9:48 AM? 123 What is 697 minutes before 2:03 AM? 2:26 PM How many minutes are there between 8:27 PM and 6:44 AM? 617 What is 50 minutes after 12:51 AM? 1:41 AM What is 625 minutes before 1:30 AM? 3:05 PM How many minutes are there between 1:35 AM and 4:52 AM? 197 How many minutes are there between 8:21 AM and 7:00 PM? 639 What is 264 minutes before 9:40 AM? 5:16 AM How many minutes are there between 5:23 PM and 2:40 AM? 557 What is 664 minutes before 3:18 AM? 4:14 PM How many minutes are there between 5:28 AM and 4:58 PM? 690 How many minutes are there between 4:50 PM and 8:01 PM? 191 What is 685 minutes after 4:24 AM? 3:49 PM How many minutes are there between 3:19 AM and 4:48 AM? 89 How many minutes are there between 9:11 PM and 5:27 AM? 496 How many minutes are there between 10:38 PM and 3:42 AM? 304 What is 166 minutes after 3:47 AM? 6:33 AM What is 252 minutes before 4:02 PM? 11:50 AM How many minutes are there between 4:37 PM and 2:25 AM? 588 How many minutes are there between 3:57 PM and 7:57 PM? 240 What is 488 minutes after 1:58 PM? 10:06 PM What is 141 minutes after 12:48 PM? 3:09 PM How many minutes are there between 7:12 PM and 3:12 AM? 480 What is 680 minutes before 6:41 AM? 7:21 PM How many minutes are there between 10:01 PM and 3:38 AM? 337 How many minutes are there between 6:59 PM and 9:18 PM? 139 How many minutes are there between 12:46 AM and 11:25 AM? 639 How many minutes are there between 3:40 PM and 1:57 AM? 617 What is 149 minutes after 3:24 AM? 5:53 AM How many minutes are there between 3:56 AM and 6:21 AM? 145 What is 300 minutes after 7:58 AM? 12:58 PM How many minutes are there between 6:40 AM and 4:22 PM? 582 How many minutes are there between 11:23 AM and 3:29 PM? 246 How many minutes are there between 2:17 PM and 10:51 PM? 514 How many minutes are there between 1:50 AM and 12:57 PM? 667 What is 366 minutes after 4:36 AM? 10:42 AM How many minutes are there between 10:09 AM and 4:51 PM? 402 What is 136 minutes before 7:21 AM? 5:05 AM What is 663 minutes before 2:03 PM? 3:00 AM What is 457 minutes after 6:50 AM? 2:27 PM What is 587 minutes before 11:09 PM? 1:22 PM How many minutes are there between 8:50 AM and 4:55 PM? 485 What is 173 minutes before 8:45 PM? 5:52 PM How many minutes are there between 6:35 AM and 2:
{ "pile_set_name": "DM Mathematics" }
digit of 73956? 9 What is the tens digit of 14607? 0 What is the hundreds digit of 15548? 5 What is the units digit of 820? 0 What is the hundreds digit of 344? 3 What is the units digit of 29809? 9 What is the hundreds digit of 799? 7 What is the thousands digit of 5114? 5 What is the units digit of 17632? 2 What is the hundreds digit of 890? 8 What is the hundreds digit of 137? 1 What is the units digit of 75? 5 What is the tens digit of 121? 2 What is the tens digit of 18261? 6 What is the tens digit of 649? 4 What is the hundreds digit of 6707? 7 What is the hundreds digit of 1642? 6 What is the thousands digit of 13986? 3 What is the units digit of 727? 7 What is the units digit of 2589? 9 What is the thousands digit of 12387? 2 What is the tens digit of 95? 9 What is the units digit of 946? 6 What is the thousands digit of 1360? 1 What is the hundreds digit of 3336? 3 What is the ten thousands digit of 48038? 4 What is the hundreds digit of 993? 9 What is the ten thousands digit of 15568? 1 What is the tens digit of 326? 2 What is the hundreds digit of 1427? 4 What is the ten thousands digit of 14539? 1 What is the units digit of 2075? 5 What is the tens digit of 151? 5 What is the hundreds digit of 1718? 7 What is the hundreds digit of 3245? 2 What is the hundreds digit of 41315? 3 What is the units digit of 173? 3 What is the thousands digit of 43411? 3 What is the units digit of 4890? 0 What is the hundreds digit of 971? 9 What is the hundreds digit of 786? 7 What is the units digit of 15944? 4 What is the ten thousands digit of 22612? 2 What is the units digit of 7338? 8 What is the tens digit of 1946? 4 What is the hundreds digit of 923? 9 What is the hundreds digit of 1471? 4 What is the units digit of 43747? 7 What is the hundreds digit of 10115? 1 What is the tens digit of 2809? 0 What is the tens digit of 536? 3 What is the tens digit of 55243? 4 What is the tens digit of 55473? 7 What is the units digit of 2090? 0 What is the tens digit of 43223? 2 What is the units digit of 39? 9 What is the units digit of 502? 2 What is the tens digit of 40853? 5 What is the hundreds digit of 470? 4 What is the tens digit of 115? 1 What is the units digit of 141581? 1 What is the units digit of 124? 4 What is the hundreds digit of 1475? 4 What is the units digit of 21855? 5 What is the tens digit of 1199? 9 What is the tens digit of 29556? 5 What is the ten thousands digit of 68796? 6 What is the units digit of 88? 8 What is the thousands digit of 66519? 6 What is the thousands digit of 19491? 9 What is the units digit of 5969? 9 What is the tens digit of 138566? 6 What is the thousands digit of 5803? 5 What is the thousands digit of 1442? 1 What is the units digit of 231? 1 What is the units digit of 5610? 0 What is the thousands digit of 34446? 4 What is the units digit of 6257? 7 What is the hundreds digit of 1351? 3 What is the hundreds digit of 17708? 7 What is the ten thousands digit of 90261? 9 What is the hundreds digit of 18211? 2 What is the units digit of 826? 6 What is the tens digit of 43800? 0 What is the hundreds digit of 14407? 4 What is the ten thousands digit of 38172? 3 What is the hundreds digit of 1023? 0 What is the hundreds digit of 1267? 2 What is the thousands digit of 8191? 8 What is the units digit of 344? 4 What is the thousands digit of 43964? 3 What is the tens digit of 9360? 6 What is the tens digit of 1847? 4 What is the thousands digit of 48465? 8 What is the thousands digit of 54773? 4 What is the units digit of 1609? 9 What is the hundreds digit of 84005? 0 What is the units digit of 2681? 1 What is the thousands digit of 22366? 2 What is the thousands digit of 5904? 5 What is the tens digit of 25514? 1 What is the thousands digit of 4563? 4 What is the units digit of 18719? 9 What is the ten thousands digit of 22810? 2 What is the thousands digit of 123981? 3 What is the tens digit of 1911? 1 What is the ten thousands digit of 10226? 1 What is the units digit of 15541? 1 What is the thousands digit of 1534? 1 What is the units digit of 9770? 0 What is the thousands digit of 23886? 3 What is the hundreds digit of 2477? 4 What is the units digit of 2848? 8 What is the units digit of 13665? 5 What is the hundreds digit of 9095? 0 What is the units digit of 9684? 4 What is the hundreds digit of 1242? 2 What is the hundreds digit of 2179? 1 What is the tens digit of 26? 2 What is the hundreds digit of 83799? 7 What is the tens digit of 135? 3 What is the hundreds digit of 7809? 8 What is the thousands digit of 1104? 1 What is the hundreds digit of 22041? 0 What is the units digit of 109559? 9 What is the thousands digit of 25837? 5 What is the hundreds digit of 8581? 5 What is the hundreds digit of 643? 6 What is the hundreds digit of 958? 9 What is the tens digit of 2398? 9 What is the hundreds digit of 8241? 2 What is the units digit of 806? 6 What is the units digit of 1341? 1 What is the tens digit of 18300? 0 What is the units digit of 143? 3 What is the ten thousands digit of 11831? 1 What is the thousands digit of 95723? 5 What is the tens digit of 3814? 1 What is the hundreds digit of 4253? 2 What is the tens digit of 2542? 4 What is the tens digit of 303? 0 What is the tens digit of 8419? 1 What is the hundreds digit of 571? 5 What is the ten thousands digit of 25510? 2 What is the thousands digit of 1389? 1 What is the hundreds digit of 728? 7 What is the thousands digit of 2726? 2 What is the units digit of 2625? 5 What is the hundreds digit of 767? 7 What is the tens digit of 31748? 4 What is the units digit of 136130? 0 What is the tens digit of 8121? 2 What is the hundreds digit of 11802? 8 What is the units digit of 910? 0 What is the thousands digit of 1363? 1 What is the hundreds digit of 9323? 3 What is the units digit of 81? 1 What is the tens digit of 540? 4 What is the hundreds digit of 2891? 8 What is the thousands digit of 6099? 6 What is the tens digit of 15119? 1 What is the hundreds digit of 35214? 2 What is the units digit of 836? 6 What is the units digit of 10? 0 What is the thousands digit of 1186? 1 What is the hundreds digit of 595? 5 What is the thousands digit of 9863? 9 What is the thousands digit of 29818? 9 What is the units digit of 538? 8 What is the units digit of 11589? 9 What is the hundreds digit of 24786? 7 What is the tens digit of 1631?
{ "pile_set_name": "DM Mathematics" }
scending order. 1/2, 0.4, 2/25, -2/3, -3, -3.5 Put -5, 5, -3, -763 in descending order. 5, -3, -5, -763 Put -592, 4, -6 in increasing order. -592, -6, 4 Sort 5, 0, -18, -4, -1, 4 in descending order. 5, 4, 0, -1, -4, -18 Put -0.016, 2/525, -17 in descending order. 2/525, -0.016, -17 Sort 38, 11, 1, 5, 19. 1, 5, 11, 19, 38 Put -2, 675, 4, -30 in descending order. 675, 4, -2, -30 Sort -405, -5, 7, -4, 1. -405, -5, -4, 1, 7 Sort -4, 42782, 16 in decreasing order. 42782, 16, -4 Sort 0.053, -3261, 5 in increasing order. -3261, 0.053, 5 Put -256, 2, -2, 3 in increasing order. -256, -2, 2, 3 Sort 40, 6/947, -0.5 in decreasing order. 40, 6/947, -0.5 Sort -82, -1, 1, 19, -5, 3 in descending order. 19, 3, 1, -1, -5, -82 Sort -1, 4, -5, 84, 13, -2 in descending order. 84, 13, 4, -1, -2, -5 Put 0, -46, 1, -4, 2 in increasing order. -46, -4, 0, 1, 2 Sort 184, -3, 8, 2, -2, 4 in descending order. 184, 8, 4, 2, -2, -3 Sort 0, -4, -7918 in ascending order. -7918, -4, 0 Put 10, -1, 339, 3, -3, 0 in decreasing order. 339, 10, 3, 0, -1, -3 Sort -0.839, 2, -0.4. -0.839, -0.4, 2 Sort -35, -4, 1, 6, -3/2 in decreasing order. 6, 1, -3/2, -4, -35 Sort 397, -2/5, 1, -16 in descending order. 397, 1, -2/5, -16 Sort -0.1, -2, -0.02, -356, 0. -356, -2, -0.1, -0.02, 0 Put -4.5, -0.0506, 4/3 in decreasing order. 4/3, -0.0506, -4.5 Put 43, -2/13, -0.1, -13 in ascending order. -13, -2/13, -0.1, 43 Sort -2, 1/8, -1/3, -2/15, 0.4, -22. -22, -2, -1/3, -2/15, 1/8, 0.4 Put 39, -144, -5, 1, -1, -3 in increasing order. -144, -5, -3, -1, 1, 39 Sort 12, -2, -3450 in increasing order. -3450, -2, 12 Sort 2, -2267, -1. -2267, -1, 2 Put 2/19, -3, 7/9, 5, -81, 1/3 in decreasing order. 5, 7/9, 1/3, 2/19, -3, -81 Sort -507, 5, -12 in ascending order. -507, -12, 5 Put -3, 5, -60, 6, -13 in decreasing order. 6, 5, -3, -13, -60 Sort 367, -2, 1/3, 3.3 in increasing order. -2, 1/3, 3.3, 367 Sort 84, 4, 5, -3, -5 in ascending order. -5, -3, 4, 5, 84 Put 120, -5, 1, 5, 0 in decreasing order. 120, 5, 1, 0, -5 Put -1/7, 2/5423, 48, 1/2, -0.4, 2 in descending order. 48, 2, 1/2, 2/5423, -1/7, -0.4 Put 0.3, 60, 5, 2/9, 11, -0.5 in descending order. 60, 11, 5, 0.3, 2/9, -0.5 Sort 0, -25/2, -0.3, -2/25 in descending order. 0, -2/25, -0.3, -25/2 Put -102, 4, 1, 28, 2 in decreasing order. 28, 4, 2, 1, -102 Sort 125, 19, -5, 179 in descending order. 179, 125, 19, -5 Sort -6, 3, -14, 0, 154 in descending order. 154, 3, 0, -6, -14 Sort 3, -11339.4, -6 in increasing order. -11339.4, -6, 3 Sort 57, 0, -2, 2 in decreasing order. 57, 2, 0, -2 Put 66, -8, 37 in increasing order. -8, 37, 66 Put -2, 4, 37167 in decreasing order. 37167, 4, -2 Put -3, 3, 5, -137, -2, 2 in ascending order. -137, -3, -2, 2, 3, 5 Put 0, 58, 0.1, -2, 171.6 in decreasing order. 171.6, 58, 0.1, 0, -2 Put 0.3, 38, 16.3, 5 in decreasing order. 38, 16.3, 5, 0.3 Sort 3/4, -4/19, 8.8, 5, -1/4, -5/6 in decreasing order. 8.8, 5, 3/4, -4/19, -1/4, -5/6 Sort -64, 0, 4, -227, -5 in decreasing order. 4, 0, -5, -64, -227 Sort 6, -201, 351, 5 in descending order. 351, 6, 5, -201 Put -1/5, 5, 0, -2.8, -6, -26 in descending order. 5, 0, -1/5, -2.8, -6, -26 Put 21, -6, 3, -11, 37 in ascending order. -11, -6, 3, 21, 37 Put 1, 99, 6403 in decreasing order. 6403, 99, 1 Put 0.01, -2/3, -0.0977, -4 in descending order. 0.01, -0.0977, -2/3, -4 Put -1, 2664, -12 in increasing order. -12, -1, 2664 Sort -5/13, 1.4, -5, 1 in decreasing order. 1.4, 1, -5/13, -5 Put 2, 138, 1743, 5 in descending order. 1743, 138, 5, 2 Put 1, -5, 2, 4 in increasing order. -5, 1, 2, 4 Sort 4/7, -14, 0.1, 2, 1.19 in descending order. 2, 1.19, 4/7, 0.1, -14 Put 5, 137, 4, 1.5, -2/3, 1/3 in decreasing order. 137, 5, 4, 1.5, 1/3, -2/3 Sort -9, -161057, -3 in increasing order. -161057, -9, -3 Put 3, -1, 6, 1576, 7 in ascending order. -1, 3, 6, 7, 1576 Sort 3, -5, -3/5, 0.03, -3/26, -2 in increasing order. -5, -2, -3/5, -3/26, 0.03, 3 Sort 12, -1, 5, -17459 in descending order. 12, 5, -1, -17459 Sort 3, -3/5, 2/23, -33, 1/8 in ascending order. -33, -3/5, 2/23, 1/8, 3 Put -2, -7, 6105, 1 in decreasing order. 6105, 1, -2, -7 Sort
{ "pile_set_name": "DM Mathematics" }
common factor of 62 and 961? 31 Calculate the greatest common divisor of 205 and 123. 41 Calculate the greatest common divisor of 2709 and 13846. 301 Calculate the highest common factor of 47 and 470. 47 Calculate the highest common divisor of 629 and 34. 17 What is the highest common divisor of 49045 and 85? 85 What is the greatest common divisor of 1 and 19? 1 Calculate the greatest common divisor of 400 and 500. 100 What is the greatest common factor of 58 and 4089? 29 What is the highest common factor of 117 and 450? 9 What is the greatest common factor of 49 and 28? 7 What is the highest common divisor of 10 and 8? 2 What is the greatest common factor of 219 and 365? 73 What is the highest common divisor of 12 and 87? 3 Calculate the highest common factor of 25 and 12665. 5 What is the greatest common factor of 72 and 828? 36 What is the greatest common divisor of 10 and 2270? 10 Calculate the greatest common factor of 64 and 2. 2 What is the highest common factor of 798 and 114? 114 Calculate the greatest common factor of 30 and 435. 15 Calculate the greatest common factor of 33 and 9. 3 What is the greatest common factor of 385 and 660? 55 Calculate the greatest common factor of 12 and 244. 4 What is the greatest common factor of 120 and 75? 15 Calculate the greatest common factor of 2275 and 49. 7 What is the highest common factor of 425 and 25? 25 Calculate the highest common divisor of 13833 and 53. 53 Calculate the greatest common divisor of 12 and 66. 6 Calculate the greatest common factor of 69 and 4623. 69 What is the greatest common divisor of 126 and 216? 18 Calculate the greatest common divisor of 43 and 1. 1 What is the highest common divisor of 18 and 675? 9 What is the greatest common divisor of 325 and 52? 13 What is the highest common divisor of 1968 and 2337? 123 What is the greatest common factor of 78 and 351? 39 What is the greatest common divisor of 8910 and 110? 110 Calculate the highest common divisor of 125 and 650. 25 Calculate the highest common divisor of 1255 and 95. 5 What is the highest common divisor of 64 and 288? 32 Calculate the greatest common divisor of 55 and 26521. 11 What is the highest common divisor of 145 and 5? 5 Calculate the highest common factor of 34 and 24718. 34 What is the highest common divisor of 200 and 1000? 200 What is the highest common divisor of 114 and 22686? 114 Calculate the highest common factor of 4 and 542. 2 Calculate the highest common factor of 43 and 903. 43 What is the highest common factor of 2809 and 53? 53 Calculate the highest common factor of 108 and 8838. 18 What is the greatest common factor of 1104 and 69? 69 Calculate the greatest common factor of 6 and 390. 6 Calculate the highest common factor of 12 and 732. 12 What is the highest common divisor of 864 and 64? 32 What is the greatest common factor of 11554 and 1090? 218 What is the greatest common factor of 38 and 475? 19 Calculate the greatest common divisor of 1830 and 240. 30 What is the greatest common factor of 28 and 266? 14 What is the greatest common divisor of 30 and 36975? 15 What is the highest common divisor of 1136 and 497? 71 What is the greatest common divisor of 171 and 18? 9 What is the greatest common divisor of 96 and 12? 12 What is the highest common divisor of 184 and 16? 8 Calculate the greatest common divisor of 68 and 119. 17 What is the highest common divisor of 154 and 3619? 77 Calculate the greatest common factor of 752 and 32. 16 Calculate the greatest common factor of 546 and 84. 42 Calculate the greatest common divisor of 6 and 8. 2 What is the highest common factor of 16 and 916? 4 Calculate the greatest common divisor of 33 and 990. 33 What is the greatest common factor of 154 and 110? 22 What is the highest common divisor of 4 and 115? 1 Calculate the highest common factor of 147 and 343. 49 Calculate the greatest common factor of 207 and 27. 9 What is the highest common divisor of 112 and 644? 28 What is the greatest common divisor of 1610 and 92? 46 What is the greatest common divisor of 61 and 5307? 61 What is the greatest common divisor of 30 and 465? 15 What is the greatest common divisor of 6270 and 450? 30 What is the highest common factor of 114 and 2337? 57 Calculate the highest common factor of 24 and 12504. 24 Calculate the greatest common factor of 2816 and 99. 11 What is the highest common divisor of 388 and 4? 4 What is the highest common factor of 34377 and 21? 21 Calculate the highest common factor of 14 and 448. 14 Calculate the highest common divisor of 7 and 7. 7 What is the greatest common factor of 8 and 392? 8 What is the greatest common divisor of 39 and 104? 13 What is the highest common factor of 806 and 2294? 62 What is the highest common divisor of 235 and 752? 47 Calculate the highest common factor of 63 and 18. 9 Calculate the greatest common factor of 9 and 684. 9 Calculate the greatest common divisor of 15968 and 96. 32 Calculate the highest common divisor of 2016 and 72. 72 Calculate the highest common factor of 12 and 10. 2 Calculate the highest common factor of 43 and 3569. 43 Calculate the greatest common divisor of 19 and 6821. 19 What is the highest common divisor of 1 and 17? 1 What is the highest common divisor of 237 and 2528? 79 Calculate the greatest common divisor of 756 and 25452. 252 Calculate the highest common factor of 55 and 970. 5 What is the greatest common divisor of 49 and 2009? 49 Calculate the highest common factor of 4160 and 240. 80 What is the greatest common divisor of 1269 and 621? 27 What is the greatest common divisor of 146 and 38179? 73 Calculate the highest common divisor of 228 and 399. 57 What is the greatest common factor of 3479 and 49? 49 What is the greatest common divisor of 10 and 32210? 10 Calculate the greatest common factor of 1526 and 14. 14 What is the greatest common factor of 33 and 539? 11 Calculate the highest common factor of 1529 and 11. 11 Calculate the highest common divisor of 4000 and 4240. 80 What is the greatest common factor of 272 and 27472? 272 What is the greatest common factor of 156 and 132? 12 What is the highest common factor of 219 and 292? 73 Calculate the highest common factor of 2 and 29. 1 Calculate the highest common divisor of 2 and 1852. 2 Calculate the highest common factor of 26385 and 30. 15 Calculate the greatest common factor of 232 and 1044. 116 Calculate the greatest common factor of 23 and 2001. 23 What is the highest common factor of 196 and 70? 14 What is the highest common factor of 95 and 57? 19 What is the greatest common factor of 1024 and 2? 2 Calculate the highest common factor of 1472 and 299. 23 Calculate the highest common divisor of 19364 and 103. 103 Calculate the highest common divisor of 3525 and 50. 25 Calculate the greatest common factor of 1250 and 50. 50 Calculate the greatest common divisor of 884 and 85. 17 Calculate the highest common divisor of 132 and 22044. 132 What is the highest common factor of 176 and 110? 22 What is the highest common divisor of 2929 and 464? 29 Calculate the greatest common divisor of 42 and 4431. 21 Calculate the highest common factor of 235 and 141. 47 What is the highest common divisor of 51 and 6? 3 Calculate the highest common factor of 102 and 578. 34 Calculate the highest common factor of 24 and 492. 12 What is the highest common factor of 328 and 41? 41 What is the greatest common divisor of 20 and 18? 2 What is the highest common divisor of 354 and 944? 118 What is the highest common factor of 1408 and 1024? 128 What is the greatest common factor of 18 and 1746? 18 What is the greatest common divisor of 440 and 60? 20 What is the greatest common factor of 4386 and 430? 86 Calculate the greatest common divisor of 1032 and 16. 8 Calculate the highest common divisor of 513 and 432. 27 What is the greatest common factor of 800 and 1088? 32 What is the highest common factor of 20 and 144? 4 Calculate the highest common divisor of 73 and 16
{ "pile_set_name": "DM Mathematics" }
6*r(k)? -12*k**3 + 2 Let z(w) = -w**2 + 93*w + 115. Let c(q) = 16*q + 19. Calculate 35*c(n) - 6*z(n). 6*n**2 + 2*n - 25 Let m(x) = -5*x**2 + 893*x + 13. Let h(n) = 11*n**2 - 1785*n - 29. What is 4*h(w) + 9*m(w)? -w**2 + 897*w + 1 Let y(k) = 5*k - 17 - 4*k + 22 - 7. Suppose i + 5*d - 22 = 0, 2*i + 0 = 2*d - 4. Let z(v) = 75*v - 212*v + 0 - 6 + 71*v + 70*v. Determine i*z(t) - 7*y(t). t + 2 Let c(x) = -3*x**3 + 41*x**2 - 5*x. Let d be 3/9*1*(-27 - -33). Let y(a) = -a**3 + 21*a**2 - 2*a. What is d*c(g) - 5*y(g)? -g**3 - 23*g**2 Let n(y) = -41*y**2 - 2524*y + 52. Let x(o) = -8*o**2 - 505*o + 10. Determine 6*n(w) - 31*x(w). 2*w**2 + 511*w + 2 Let q(n) be the second derivative of -n**4 + 4*n**3/3 - 4*n**2 + 4*n + 123. Let f(h) = h - 1. Give -8*f(t) + q(t). -12*t**2 Let d(w) = -900180*w - 3645. Let x(h) = -1483*h - 6. Calculate -2*d(k) + 1215*x(k). -1485*k Let f(h) = 6*h - 4. Suppose 2*i + 12 = -i. Let j(y) = -3749*y - 15. Let v(l) = 1153*l + 5. Let a(d) = -4*j(d) - 13*v(d). Calculate i*f(w) + 3*a(w). -3*w + 1 Let z(g) = 7*g + 140. Let d(i) = 6*i + 2. Give 5*d(q) + z(q). 37*q + 150 Let d(m) = -2*m**2 - 3*m + 13. Let n(o) = -8*o**2 + 17*o - 22. Let l(t) = -3*t**2 + 7*t - 10. Let k(p) = -5*l(p) + 2*n(p). Calculate -4*d(b) + 9*k(b). -b**2 + 3*b + 2 Let n(m) = m**2 + m + 1. Let x(r) = 117*r**2 + 54*r + 36. Let b(t) = 6*t**2 + t - 1. Let g(z) = -9*b(z) + x(z). Calculate -g(y) + 45*n(y). -18*y**2 Let c(w) = -3639*w**3 + 12*w**2 + 18*w + 6. Let i(k) = -5149185*k**3 + 16982*k**2 + 25473*k + 8491. Calculate -8491*c(f) + 6*i(f). 3639*f**3 Let d(h) = -h**3 + h + 1. Let u(t) = 3*t**3 - 2*t - 3. Suppose -q = -v + 1, 0*q - 4*v = -3*q - 1. Let o = -3885 + 3877. Determine o*d(l) + q*u(l). -l**3 - 2*l + 1 Let n(r) = -289*r - 1 + 541*r - 257*r - 4*r**2 + 1. Let i(p) be the third derivative of p**5/30 + p**4/12 - 4*p**2. What is 10*i(u) + 4*n(u)? 4*u**2 Let x(a) = 5*a + 1. Let u(d) be the second derivative of d**3/6 - 564*d. Let t(j) = j + 4. Let l be t(-3). Determine l*x(r) - 4*u(r). r + 1 Let q(n) = 2*n + 2. Let h(w) = 15*w - 62. Let o(i) = h(i) - 5*q(i). Let r(m) = -3*m + 48. Determine 5*o(b) + 8*r(b). b + 24 Suppose -1 = 3*n - 13. Let k(z) = n + 1 + 1 + 6*z**2. Let h(a) be the third derivative of a**5/60 + a**3/6 + 168*a**2 - 60. What is 22*h(s) - 4*k(s)? -2*s**2 - 2 Let q = 7556 - 7557. Let r(z) = -z**2 - z - 1. Let d(u) = 3*u - 3. Let v(w) = -39*w + 39. Let k(l) = -27*d(l) - 2*v(l). Calculate q*k(t) + 2*r(t). -2*t**2 + t - 5 Let a(r) = -3*r**2 + 2*r + 1. Let o(s) = 15*s**2 - 14*s + 4. Let d(h) = 4*a(h) + o(h). Let l(f) = -f**2 + f - 1. What is d(z) + 6*l(z)? -3*z**2 + 2 Let j be 11 + (10 - 20) - 22/(-11). Let d(c) = -2665*c**3 - 130*c**2. Let x(w) = -62*w**3 - 3*w**2. What is j*d(p) - 130*x(p)? 65*p**3 Let v(r) = -5*r - 1. Let l(i) be the third derivative of 2*i**4/3 + i**3/2 - i**2 - 76*i + 4. Suppose a - 2*a = 2. Give a*l(d) - 7*v(d). 3*d + 1 Let l be 2/16 - -10*(-6)/(-32). Let f(u) = 6*u + 9 - 4 + 4*u**2 - u**l - 8. Let o(h) = -4*h**2 - 7*h + 4. Determine -5*f(v) - 4*o(v). v**2 - 2*v - 1 Let u(d) = 2*d + 7. Let g(c) = -31*c - 5. Let l(k) = -30*k + 1. Let a(i) = -g(i) + l(i). Determine 4*a(m) - 3*u(m). -2*m + 3 Let y(w) = -4 - 1 + 4. Let d(n) = 3*n - 5. Let q be (-1)/(-3)*(-1 + 2)*(473 - 476). Determine q*d(z) + 3*y(z). -3*z + 2 Let j(s) = s. Let h(x) = 182*x. Suppose 0 = -a - 5*v - 181, -3*v + 297 = -84*a + 82*a. What is a*j(p) + h(p)? 26*p Let r(m) = 16*m**3 - 5*m**2 + 5*m + 6. Suppose 15*i - 3961 + 3816 = 44*i. Let j(v) = -v**3 + v**2 - v - 1. Calculate i*j(x) - r(x). -11*x**3 - 1 Suppose 4*o = -5*f + 47 + 34, 0 = -f + 5. Let p(v) = 13*v + 15 + o*v - 15*v. Let m
{ "pile_set_name": "DM Mathematics" }