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is a rounded to 5 dps? 0 Let k = -14.7 + 10. Let g = k - -4.70000066. What is g rounded to 7 dps? 0.0000007 Let b = -41.343 + 40.8. Let a = b - 0.077. Round a to 1 decimal place. -0.6 Let m(d) = -6441*d + 54. Let s be m(-6). What is s rounded to the nearest 1000? 39000 Let r = -343.8 + 188. Let g = 175 + r. Round g to 0 dps. 19 Let b(a) = -6667*a**3 + 9*a**2 - 6*a + 6. Let c(k) = -k**2 - 1. Let u(p) = -b(p) - 6*c(p). Let s be u(6). Round s to the nearest one hundred thousand. 1400000 Let f = 157 + -157.000106. Round f to 5 decimal places. -0.00011 Let t = -1605001 + 1605001.06000002. Let r = -6 - -6.06. Let s = t - r. What is s rounded to seven dps? 0 Let b = -264.3 - -276. Round b to the nearest integer. 12 Let m = 0 - -10. Let d = -16.6 + m. What is d rounded to the nearest integer? -7 Let k = -309.23719724 + 465.23719661. Let c = -155.678 + -0.322. Let u = c + k. What is u rounded to 7 dps? -0.0000006 Suppose -9*p = 366 - 1077. What is p rounded to the nearest 10? 80 Let j = 3 - -2. Suppose -416 = j*i + 1034. Round i to the nearest one hundred. -300 Let x = -1.11000034 - -1.11. What is x rounded to seven decimal places? -0.0000003 Suppose -y = -14 - 4. Let q be (45/(-4))/(y/(-32160)). Round q to the nearest 1000. 20000 Let q = 16465.7 + -16458.6993. Let c = 7 - q. Round c to 4 dps. -0.0007 Let c be (-28)/5 + 2/(-5). Let u(k) = 9*k - 4. Let a be u(c). Round a to the nearest ten. -60 Suppose 2*b - 269999870 = -3*b. Suppose -2*n = 4*g + 53999978, -2*n = -5*g + g - b. Let d be (-2)/(-3) - g/9. Round d to the nearest one million. 2000000 Let k = -182907 - -349145. Let m = -114238 + k. Round m to the nearest 10000. 50000 Let f(j) = 15001*j - 1. Let i be f(1). What is i rounded to the nearest ten thousand? 20000 Let v = 0.59 - 0.5873. What is v rounded to three dps? 0.003 Let p = -1.332 - -0.112. What is p rounded to one dp? -1.2 Let v = -0.19 - -0.57. Let x = v + -0.379901. Round x to 5 decimal places. 0.0001 Let n = 64.268 - 82.2732. Let m = n - -18. Round m to three decimal places. -0.005 Let u = 0.288 + -0.4. Let v = -0.09 - u. Let c = v - 5.322. What is c rounded to 0 decimal places? -5 Let p = -0.099999855 + 0.1. Round p to 7 dps. 0.0000001 Let k = -1 - -1.08. Let q = 3.92 + k. Let x = q + -5.9. What is x rounded to the nearest integer? -2 Let s(b) = -b**3 - 9*b**2 + 3*b - 5. Let y be s(-11). What is y rounded to the nearest ten? 200 Let b = 0.1 + -2.7. What is b rounded to 0 dps? -3 Suppose -6*m = -m - 25. Suppose 7249 = 5*w + i, w - m*i + 1445 = 2*w. Round w to the nearest 100. 1500 Let n = 20 - 12. Let j = -7 - n. Let m = 14.9956 + j. What is m rounded to 3 decimal places? -0.004 Let l = -47.921 - -48. Let c = 33.5 - 33.677. Let d = c + l. Round d to 2 dps. -0.1 Let r = -11.628 + 6.62. Let o = -5 - r. What is o rounded to two dps? 0.01 Suppose 0 = 4*f - 5*k - 44 - 51, 0 = -3*f - 5*k + 115. Let g = -30 + f. What is g rounded to 6 decimal places? 0 Suppose 0 = 22*f - 26*f - 3520000. What is f rounded to the nearest one hundred thousand? -900000 Let k = 164220.7000002 - 164221. Let r = k + 0.3. What is r rounded to six dps? 0 Suppose 19*j + 270773412 = -18026588. What is j rounded to the nearest one million? -15000000 Let y = 28.8313 - 25.83. Let j = -2.96 - 0.04. Let a = y + j. What is a rounded to 4 decimal places? 0.0013 Let k(v) = -9*v**2 + 8*v - 2. Let o be k(5). Round o to the nearest ten. -190 Let t(l) = 381481*l**3 + l**2 + l + 1. Let x be t(3). What is x rounded to the nearest 1000000? 10000000 Let o = -4.45 - -3.1. Round o to one decimal place. -1.4 Suppose 0*t + 3 = t. Suppose 0 = -j - 2*i + 29990, t*j - 2*i - 2619 - 87391 = 0. Round j to the nearest ten thousand. 30000 Let k = -0.13 + 0.130008. Round k to five decimal places. 0.00001 Let g = 1.000016 - 1. Let n = g + 0. Round n to five decimal places. 0.00002 Let v = -9.1 + 12. Let f = v + -2.68. Round f to 1 decimal place. 0.2 Let j = 13.87977 + -12.8817. Let d = j + 0.401826. Let m = 1.4 - d. What is m rounded to 5 dps? 0.0001 Let x = 25277107.0000013 - 25277105. Let l = 2 - x. What is l rounded to 6 decimal places? -0.000001 Let n = 74 + -80.8. Let s = n + 6.8086. What is s rounded to 3 dps? 0.009 Let d = -476.193 + 476. Round d to two dps. -0.19 Let o = 0.8 + -67.8. Let c = -46 - o. Let n = -20.99999991 + c. What is n rounded to seven dps? 0.0000001 Let p = 0.0704 - 0.07. What is p rounded to three dps? 0 Let h = 0.002 - 239.002. Let u = h - -294.8. Let x = u - 51. Round x to 0 dps. 5 Suppose -c = -5*c + 8. Suppose -4*h - 15 = -3, -5*v + 29994 = c*h. Round v to the nearest ten thousand. 10000 Let d = 8.05151 - 8.06. Round d to three decimal places. -0.008 Let a(b) = 63892*b**2 - b - 2. Let s(x) = 127785*x**2 - x - 5. Let o(p) = 9*a(p) - 4*s(p). Let y be o(-6). What is y rounded to the nearest 1000000? 2000000 Let x = -67809 - -44909. Round x to the nearest one thousand. -23000 Let b = -3771 + 3754.87. Let v = 15.5 + b. Let w = -0.748 - v. What is w rounded to 2 dps? -0.12 Suppose 0*w - 5*w = -20. Suppose -l + 22 + w = 0. Round l to the nearest ten. 30 Let t(d) = 171*d + 5. Suppose 5*p - 5*m - 30 = 0, 5*p + m - 14 = 2*p. Let h be t(p). Round h to the nearest one hundred. 900 Let l = 0 + 1. Let c = l - 1.7. Let d = c - -0.699952. Round d to 5 dps. -0.00005 Suppose 0 = u - 2*o + 3*o + 99999, 5*u - 2*o + 500002 = 0. What is u rounded to the nearest ten thousand? -100000 Let b = 18.09 + -18. Let g = 0.03 - b. Round g to two decimal places. -0.06 Let g = 212.416 - 0.416. Let f = g + -188.2. Let w = 33 - f. Round w to the nearest integer. 9 Let z be (6/5)/((-9)/(-120)). Suppose 0 = 3*v - 5*v - 5*j - 6, -v + 4*j + 23 = 0. Let c = z - v. What is c rounded to 0 decimal places? 9 Let m = 20.076 - -0.024. Let h = -21.25 + 0.25. Let s = m + h. What is s rounded to the nearest integer? -1 Let h = -0.06 + 0. Let l = 0.060009 + h. Round l to six decimal places. 0.000009 Let g = -52.58512687 - -93.5851267. Let q = g + -41. Round q to seven decimal places. -0.0000002 Let m = -4.000081 + 4. Round m to five dps. -0.00008 Suppose 1241 = -2*c - r, 2*r - 444 = -3*c - 2306. What is c rounded to the nearest one hundred? -600 Let o = -355 + 354.99809. Round o to 4 decimal places. -0.0019 Let v(t) = 434*t**2 + 4*t. Let d be v(4). Let b be (-1 + 0)*0 - d. Let r = b - -2560. What is r rounded to the nearest 1000? -4000 Let r = -5 + 4. Let t = -8 + r. Let h be (-9658)/(-6) + (-3)/t. What is h rounded to the nearest one hundred? 1600 Let y = -1490.124 + 1476. Let q = y + 14. Let r = q + 0.1239921. Round r to 6 dps. -0.000008 Let q = 2.6 - -10.6. Round q to the nearest integer. 13 Let w = 6 - 5.9955. Round w to 3 decimal places. 0.005 Let g(s) = -45*s**2 - 5*s - 8. Let q be g(-6). Let v be (q + -2)*(-6250)/2. Round v to the nearest 1000000. 5000000 Let g(n) = 17*n**2 + n - 6. Let v be -2*((3 - -1) + -1). Let f be g(v). What is f rounded to the nearest 100? 600 Let i(d) be the first derivative of -1899999*d**2/2 - d - 5. Let n be i(1). Round n to the nearest 1000000. -2000000 Let f = 110.978 + 0.022. Let o = f + -188. Let k = 78.55 + o. Round k to 1 dp. 1.6 Let k = 0.48971 - 0.49. Round k to 4 decimal places. -0.0003 Let i = 5637 - 9767. What is i rounded to the nearest 1000? -4000 Let x = -210.99893 + 211. Round x to 4 decimal places. 0.0011 Suppose p = 5*p + 48. Let z be p*2175/(-9)*-1. What is z rounded to the nearest one thousand? -3000 Let g = -0.74 - -3.29. Let t = 0.05 + g. What is t rounded to 0 dps? 3 Let t = 0.5 + -0.445. Let s = 9.07 + -9. Let i = t - s. What is i rounded to 2 decimal places? -0.02 Let v = -0.02200045 + 0.022. Round v to 7 decimal places. -0.0000005 Let x = -427281 - -427260.0181. Let f = x + 21. What is f rounded to three dps? 0.018 Let m = -1.97 + 2.0296. What is m rounded to two dps? 0.06 Let k = -0.34 - -0.34000152. What is k rounded to 7 decimal places? 0.0000015 Let i = 1.156 - -0.25. Let x = -2.2048 + i. Let r = 0.8 + x. What is r rounded to 3 dps? 0.001 Let w = -5839155 - -5839208.00033. Let a = 53 - w. Round a to 4 decimal places. -0.0003 Let f = 1645.117 - 1644. Let o = 0.093 + f. What is o rounded to 1 decimal place? 1.2 Let a be 1/2 - (-2)/(-4). Suppose a = 2*l + 2*m - 4*m + 2343854, -5*m = 5*l + 5859625. Let p = l + 221926. Round p to the nearest 100000. -1000000
{ "pile_set_name": "DM Mathematics" }
f sequence ll? 1/40 What is prob of sequence sssk when four letters picked without replacement from ssksssks? 1/7 Two letters picked without replacement from {d: 2, r: 1, b: 1}. Give prob of sequence rd. 1/6 Three letters picked without replacement from {d: 1, x: 12, q: 4, k: 3}. What is prob of sequence kdq? 1/570 What is prob of sequence tt when two letters picked without replacement from {t: 2, x: 3}? 1/10 Four letters picked without replacement from {n: 6, e: 8, k: 1}. What is prob of sequence eknk? 0 Four letters picked without replacement from ububbbubbbbubu. What is prob of sequence ubuu? 45/2002 Calculate prob of sequence bs when two letters picked without replacement from sssbssbssssb. 9/44 Two letters picked without replacement from {l: 1, f: 14, v: 2}. What is prob of sequence fv? 7/68 What is prob of sequence li when two letters picked without replacement from {i: 9, l: 9}? 9/34 What is prob of sequence eejh when four letters picked without replacement from {h: 1, e: 2, j: 4}? 1/105 Calculate prob of sequence oyof when four letters picked without replacement from bybobobbofo. 1/660 Two letters picked without replacement from iiiii. What is prob of sequence ii? 1 What is prob of sequence vv when two letters picked without replacement from vzvv? 1/2 Three letters picked without replacement from {f: 2, c: 1, d: 3, b: 1}. Give prob of sequence fbf. 1/105 Calculate prob of sequence yuwu when four letters picked without replacement from {w: 3, u: 3, y: 1, r: 5}. 1/660 Three letters picked without replacement from {f: 1, s: 1, h: 1, v: 1, g: 3}. Give prob of sequence ghv. 1/70 Three letters picked without replacement from rxkxrrxrk. What is prob of sequence kkr? 1/63 Two letters picked without replacement from ffiffifmfffffiff. Give prob of sequence im. 1/80 What is prob of sequence iuid when four letters picked without replacement from {d: 2, i: 3, u: 3}? 3/140 Calculate prob of sequence zz when two letters picked without replacement from aaazaaazaaa. 1/55 Three letters picked without replacement from {k: 5, e: 6, h: 4}. What is prob of sequence ekh? 4/91 Four letters picked without replacement from uusssuu. What is prob of sequence usus? 3/35 Three letters picked without replacement from tottttttottott. What is prob of sequence ooo? 1/364 Three letters picked without replacement from {z: 11, y: 3}. What is prob of sequence yyy? 1/364 Calculate prob of sequence ccnn when four letters picked without replacement from csnnnscscccsnccn. 1/52 Two letters picked without replacement from {d: 2, e: 1, y: 4}. What is prob of sequence ey? 2/21 Four letters picked without replacement from khhkkkhkkkkkkrhhkhk. Give prob of sequence kkrh. 11/1292 Three letters picked without replacement from qtxjjhxjjxttxx. What is prob of sequence qhx? 5/2184 Calculate prob of sequence kku when three letters picked without replacement from txxktxxtutxktttxtt. 1/2448 Two letters picked without replacement from {s: 5}. What is prob of sequence ss? 1 Three letters picked without replacement from {r: 6, b: 2}. Give prob of sequence rbb. 1/28 Calculate prob of sequence psrq when four letters picked without replacement from {q: 2, s: 1, b: 4, p: 1, r: 1}. 1/1512 Two letters picked without replacement from {j: 1, y: 19}. What is prob of sequence yy? 9/10 Three letters picked without replacement from {l: 1, u: 2, v: 1}. What is prob of sequence vul? 1/12 Two letters picked without replacement from vvvvvv. Give prob of sequence vv. 1 Calculate prob of sequence oooo when four letters picked without replacement from {o: 10}. 1 Three letters picked without replacement from {e: 1, l: 2, j: 4}. Give prob of sequence jej. 2/35 What is prob of sequence fm when two letters picked without replacement from ttetumtufett? 1/132 What is prob of sequence zob when three letters picked without replacement from obz? 1/6 Four letters picked without replacement from hhaavhahavavhchaaa. Give prob of sequence aavh. 7/510 Four letters picked without replacement from dfyfnsesdfnfdfn. What is prob of sequence ydef? 1/2184 What is prob of sequence lk when two letters picked without replacement from {w: 6, k: 6, l: 3}? 3/35 Four letters picked without replacement from {o: 1, p: 2, r: 1, w: 1}. Give prob of sequence ropw. 1/60 Three letters picked without replacement from eyyyzyyyzyyyyy. Give prob of sequence yze. 11/1092 Calculate prob of sequence nyyy when four letters picked without replacement from {n: 3, y: 3}. 1/20 Calculate prob of sequence twt when three letters picked without replacement from {a: 1, b: 2, w: 4, t: 2}. 1/63 Two letters picked without replacement from {k: 7, c: 1, r: 5, m: 1, d: 1}. What is prob of sequence mc? 1/210 What is prob of sequence hr when two letters picked without replacement from xjxixxiahixjr? 1/156 Calculate prob of sequence jy when two letters picked without replacement from {y: 1, j: 1, s: 1}. 1/6 What is prob of sequence xx when two letters picked without replacement from fxfffxffffxffffxff? 2/51 Three letters picked without replacement from {e: 5, h: 9}. What is prob of sequence ehh? 15/91 Two letters picked without replacement from {s: 3, z: 13}. What is prob of sequence ss? 1/40 What is prob of sequence wyyw when four letters picked without replacement from {y: 2, e: 3, w: 3}? 1/140 Calculate prob of sequence ddd when three letters picked without replacement from {d: 9}. 1 Three letters picked without replacement from {s: 1, h: 1, q: 2, n: 3, k: 8, c: 1}. What is prob of sequence hck? 1/420 Calculate prob of sequence ptp when three letters picked without replacement from ntpnpnnpppppt. 7/143 Calculate prob of sequence tqti when four letters picked without replacement from tqqqwqdrdiqitqqr. 1/1560 Calculate prob of sequence xee when three letters picked without replacement from ekkvkexemvkev. 1/143 Four letters picked without replacement from gggaaggggggg. Give prob of sequence agag. 1/66 Four letters picked without replacement from {r: 1, u: 5, h: 5, d: 1, m: 3}. Give prob of sequence huum. 5/546 Two letters picked without replacement from {l: 1, j: 1, n: 1, o: 2, q: 1, s: 1}. What is prob of sequence nq? 1/42 Calculate prob of sequence aa when two letters picked without replacement from asbbaabsb. 1/12 Calculate prob of sequence bpb when three letters picked without replacement from bclgclpclhbhcpb. 2/455 Four letters picked without replacement from xzzbbtbtbzzzzt. What is prob of sequence xttz? 3/2002 What is prob of sequence gkgk when four letters picked without replacement from {j: 1, p: 1, k: 2, g: 4}? 1/70 Three letters picked without replacement from {u: 3, q: 1, h: 2, c: 3, x: 2, p: 3}. What is prob of sequence hhx? 1/546 What is prob of sequence ela when three letters picked without replacement from deaadddala? 1/180 What is prob of sequence zziz when four letters picked without replacement from iizziiiziiizzi? 45/2002 Two letters picked without replacement from {x: 6, y: 2, v: 9}. Give prob of sequence yy. 1/136 Three letters picked without replacement from {v: 2, i: 6, p: 2, z: 9}. Give prob of sequence vzv. 1/323 What is prob of sequence xxqq when four letters picked without replacement from qqqqqqqqxqqqqxxxqx? 13/306 Four letters picked without replacement from {v: 3, o: 1, w: 5, i: 6}. What is prob of sequence ivvw? 1/182 Four letters picked without replacement from {q: 6, m: 3, z: 6}. Give prob of sequence mzqq. 3/182 What is prob of sequence ffii when four letters picked without replacement from {f: 2, t: 14, i: 1}? 0 What is prob of sequence zj when two letters picked without replacement from {z: 1, q: 1, d: 4, j: 5}? 1/22 Two letters picked without replacement from ewxoowxzoooxf. What is prob of sequence ze? 1/156 Two letters picked without replacement from ttcthtahehhtchhh. Give prob of sequence ha. 7/240 What is prob of sequence wwf when three letters picked without replacement from {h: 7, f: 4, a: 1, w: 3, x: 4, g: 1}? 1/285 Three letters picked without replacement from qqqwqqhqhwrw. What is prob of sequence whr? 1/220 Four letters picked without replacement from {b: 7, u: 12}. What is prob of sequence uubb? 77/1292 Two letters picked without replacement from qqqcaseacaaqacqe. Give prob of sequence ca. 1/16 Two letters picked witho
{ "pile_set_name": "DM Mathematics" }
83834 = -3*w - 3*s + 3283843, -4*s = -w + 13 for w. 5 Solve -f - f + 61880*c - 102 = 61890*c, -2*c = -4*f + 38 for f. 4 Solve 27*p - 781 = -5*z - 1047, 5*z = 3*p - 176 for z. -37 Solve -37*a - 201 + 145 = k, -a - 7*k = 2*a + 136 for a. -1 Solve -9 = 286*t - 283*t - 26*y, 4*t = -5*y - 12 for t. -3 Solve -7*a + 66 = -4*k - 10*a, 6*k + 0*k = -4*a - 88 for k. 0 Solve 2*k + 30 = -2*l, 5*l - 6722 = -6737 for k. -12 Solve 4*v = -5*h - 68 + 89, 3*v = -16*h - v + 76 for h. 5 Solve 46*p - 29 = 47*p + 5*l, -25618*p - 3*l - 3 = -25621*p for p. -4 Solve 3*y + 5*k - 318 = -346, -172*k = 344 for y. -6 Solve -4*p - 2*z + 1558 = 1478, 180 = 9*p + 7*z for p. 20 Solve 0 = 3*d + l, -5*l + 36 = 38289*d - 38292*d for d. -2 Solve 2*f = 4*g + 8, 6*g = f + 15535 - 15543 for g. -1 Solve -u - 1 - 15 + 0 = 6*l, -1525*l + 1526*l + 4*u = -64 for l. 0 Solve 3*z + h - 61 = -65, h - 341 = 30*z + 82*z for z. -3 Solve -5*u - 5*i - 75 = 0, -13*i - 14*i + 41*i = 8*i - 90 for u. 0 Solve 3*i - 6*i + 0 = 4*s - 47, 5*s = 2*i + 83303 - 83273 for s. 8 Solve 0 = 5*t + 5*f + 24 - 79, -3*t = -4*f + 23 for t. 3 Solve -5*i - 120 = 2*b, -98 + 178 = 6*b - 5*i for b. -5 Solve 482*i = d + 459*i - 25, 13 = d - 11*i for d. 2 Solve -16*f - 19*f = 4*z - 30*f - 31, -5*z + 5*f + 95 = 0 for z. 14 Solve -i - 16 = 7*y - 66, -33*y = 4*i + 4*y - 263 for i. 1 Solve r = 4*r - 4*d + 97 - 5, 12*r + 4*d - 754 = -1142 for r. -32 Solve -232*y = -200*y + 8*u - 3*u + 773, -115 = 5*y - 5*u for y. -24 Solve -105 = 5*b + 30*p, -5*b + 10*b = -0*b + 5*p + 5505 - 5575 for b. -15 Solve -2*q + 3 = o + 3*q, 3*o + 3*q = 6*q - 17*q - 111*q + 119 for o. -2 Solve 320 - 314 = g, 29 = -5*f + 4*g for f. -1 Solve -4*r - 21*x + 47*x = -2*r + 3*r + 167, -4*r + x - 94 = -0*x for r. -23 Solve 121308*y - 121313*y + 3*z = -49, -4*z = 4*y + 12 for y. 5 Solve 0 = -4307*r + 4308*r + b - 3, -7*r + 1 + 9 = -4*b for r. 2 Solve 3*n + 11*v - 294 = 0, -n + 12186 = 2*v + 12133 for n. -1 Solve -223 = 7*i - 5*q + 3*q, 12*q - 59 = 2*i + 13*q for i. -31 Solve -v = j - 5, -3*v = -11985*j + 11992*j - 11 for v. 6 Solve -758 = -3*x + x + 2*d - 750, -40*d = -x - 46*d - 17 for x. 1 Solve -5*a = 844*v - 842*v + 20, -3*a + 4*a - 3*v = -4 for a. -4 Solve 0 = -5*q - i + 51, 1991077*i - 24 = -2*q + 1991073*i for q. 10 Solve -7*a + 547 = 20221*s - 20223*s, 2*s + a = 85 for s. 3 Solve 3*d = -5*f + 851 - 1604 + 844, 2*d - 2*f - 50 = -0*f for d. 27 Solve -q + r = 1, 3*q - 39*r + 0 = -62*r + 20*r + 3 for q. 0 Solve 28 = -4*z + 2*r, 8634*z - 8638*z - 376*r = 784 for z. -8 Solve 2 = 3*v - b + 19, 5*v - 3*b - 61 = 24*v for v. -4 Solve 805*v - 801*v - 9*j = 2*j + 471, 2*v + 154 = -4*j for v. 5 Solve b + 4*q = 3, -14*b + 946*q = 945*q - 156 for b. 11 Solve -2*l = -4*g - 18, 40689*l - 5*g = 40693*l + 3 for l. 3 Solve 5*i = -2*k - 3*k, -664*i = 4*k - 335*i - 332*i - 7 for k. 1 Solve 2*c = -4*v + 3*v + 6, 5*v + 489 = -3*c + 498 for v. 0 Solve -w + 1487 - 1533 = -2*w - 2*f + 4*f, -4*w - 46 = 2*f for w. 0 Solve 3*h - 8*h + 1146 = 76*m - 14*m - 356*m, h = -2*m - 14 for m. -4 Solve 0 = -4*d + 33 - 1, 46*r - 29*r + 3*d = 22*r - 0*d + 9 for r. 3 Solve 0 = 4*d, 5*k - d = k + k + 4*d - 6*d + 108 for k. 36 Solve 3*v = -4*h + 9*v - v - 7 + 24, -h = 104*v + 101 for h. 3 Solve -4*r - 232 = -12*d, -3*d + 2*d + 2*r - 36 = -3*d for d. 19 Solve 2*k + 3263442*j = 3263390*j - 240, 0 = -4*j - 20 for k. 10 Solve 0 = 4*u - 0*u + m - 5 - 14, -32*u + 137 = 3*m for u. 4 Solve -4*k = -2980*m + 2975*m + 115, m - 39 = 4*k for m. 19 Solve 3*d = -12*b + 15*b + 51, 0*b + 28*b + 4*d + 532 = -18*b for b. -12 Solve -5*i = -5*v - 60, 3*v - 9276900*i + 20 = -2*v - 9276903*i for v. -7 Solve 0*m - 2*m + 4 = 2*j, -5*m + j + 1484 - 1480 = 0 for m. 1 Solve 3*v - 38 = -8*z - 59, 2*v + 2*v + 5 - 9 = 0 for z. -3 Solve -3*x + 2*p + 2396 = 2363, -31*p + 22 = 2*x for x. 11 Solve -4*w - 2*g = -2*g + 4*g + 28, w - 19*g + 22*g + 25 = 0 for w. 2 Solve 5*t + 137100 = 137125, b = 3*t - 28 for b. -13 Solve 0 = -3*r + 22*v + 52*v - 506, -12*r + 8*r + 3 = -5*r + v for r. 4 Solve -39328*k = -39320*k + w - 37, -5*k + w = -28 for k. 5 Solve -79471*x + 2*y + 4 = -79475*x, 2*y - 2 = -2*x for x. -3 Solve -4*o + 14*b - 55 = 37, o - 64*b + 18 + 9 = -60*b for o. 5 Solve -5*l = 3*p, 210*p - 15 = 210*p + 5*l for p. 5 Solve 4*z + a = -201, -z - 24 = -3729*a + 3727*a + 15 for z. -49 Solve 5*n + q + 76 = 4*q + 157, -12*n = 4*q - 52 - 120 for n. 15 Solve -14*v - 420 = 1711*k - 1709*k, 15 = 4*k - 3*v - 75 for k. 0 Solve 3*p = -28*j + 196, -9*j + 14*j - 6*j + 4*p = p - 7 for j. 7 Solve 0*u - 4*u - h = -47, 4*u - 47*h - 53 = -42*h for u. 12 Solve -2*k - 755 = -3*m - 565, m - 10 = -10*k for k. -5 Solve -20*g + 4*t + 26605 = 26513, -4 = 4*g + 2*t for g. 3 Solve -25 = 3*r - n, -80*r + 88*r + 35 = -5*n - 70 for r. -10 Solve -3*q + 116*z - 1499 = 0, z + 52158 - 52162 = 3*q for q. 3 Solve 25*q - 28 = 29*q, 399*h - 403*h - 36 = 4*q for h. -2 Solve -44*p + 48*p + 1696 = t + 1671, 0 = 4*t - 3*p - 35 for t. 5 Solve l = 4, -4*g - 21*l - 4226 = -4354 for g. 11 Solve -12 = 2*g + 3*f, 17 = -6*f - 5 + 4 - 6 for g. 0 Solve -180*c + 7*d = -110*c - 74*c + 4*d - 9, 0 = 2*c - 5*d - 15 for c. 0 Solve -61*o - 57*o - 113 = -33*o - 4*h, -22*o + h - 4 = -25*o for o. -1 Solve -5*j + m = -0*m + 7*m + 16, -168*m + 166*m - 12 = 0 for j. 4 Solve -6*o + 60*o - 346 = 19*y, 3*y = -5*o - 0*o + 13 for y. -4 Solve -144*t + 1734 = -2*f, -220*t - 211*t + 427*t + 2*f = -54 for t. 12 Solve 7*d - 4*w = 2*d + 3*d + 44, -5*w = -6*d + 3*d + 62 for d. 14 Solve 2*d = -y + 3, -15*d - 22*d - 539 = -38*d + 107*y for d. 4 Solve 5*k = -2*k - 3*x - 20, -50*k + 49*k - 2*x = -5 for k. -5 Solve 0 = -2*p - 2*t - 68, 38*p + 16*t + 544 = 41*p for p. 0 Solve 0 = 11*o - 4*k - 13, -386207*k = -2*o - 386205*k - 4 for o. 3 Solve -5*w = 20, 0 = 375*z + 231*z + 5*w + 237 + 389 for z. -1 Solve -2*n + 20 - 12 - 30 = 4*v - 0*v, -3*n + v = -2 for n. -1 Solve 3261*d - 222 = -3*z + 3264*d, 0 = -5*z - 60*d + 370 for z. 74 Solve -34*s + 1847*z = 1831*z + 268, -6 = -s - 3*z for s. -6 Solve 0 - 5 = k, -6*n - 3*n = -13*n - 9*k + 123 for n. 42 Solve 0 = i + 4*r - 27, -7*i + 0*r - 8 = -6*r - 61 for i. 11 Solve 5*b = 6*u + 355, -3*b - u - 43912 + 44125 = 0 for b. 71 Solve 0 = -3*k - 9*o - 27 + 153, -5*k = -o + 35 - 181 for k. 30 Solve 4*m - 12 = b, 125*b + 4 = 124*b + 5*m - 13 for b. 8 Solve -17*d + 4*d - 26 = -5*v - 11*d, 5*v + 8*d + 54 = 0 for v. 2 Solve -i - 20*a = 10*a - 35*a - 30, 0 = -i - a + 18 for i. 20 Solve 18*p - 15*p + 8*g - 1 = 10*g, 2*g = 5*p - 11 for p. 5 Solve -230 = o + 39*k, 1751*o + 2*k - 8 = 1746*o for o. 4 Solve -43*b + 4*g - 380 - 397 = 18*b, -12*b + 10*b - 2*g - 34 = 0 for b. -13 Solve -4*d + 14 = 1005*y - 1003*y, 34*y = 7*d + 13 for y. 1 Solve -4*s = 5*r + 79, -9*s - 16*r = 637 - 369 for s. 4 Solve 5*k = -5, 437*k = -53*d + 432*k - 1224 for d. -23 Solve f + 4*f - 7*f = 3*w - 6*f + 25, -368 + 356 = -5*w - f for w. 1 Solve 0 = -5*q + 51*g - 42, 0 = 3*q - 4*g - 31884 + 31856 for q. 12 Solve -4*h = -o + 99, 12*o - 6456*h + 6455*h - 13 = 0 for o. -1 Solve 0 = -r - 5*p - 142, -155*p + 76*p - 72 = 5*r - 76*p for r. 3 Solve m = -2*y - 19, 5343*m + 5*y + 58 = 5344*m for m. 3 Solve -101222 = -5*y - z - 101239, 5*y - z + 3 = 0 for y. -2 Solve 2*z + 4*l = -160, 6*z + 5*z - 3*l - 14 - 42 = 39 for z. -2 Solve 0 = 50*j - 650, 2*t + 20*j + 11*j - 67 = 26*j for t. 1 Solve -4*y - 3*b + 10*b + 68 + 36 - 36 = 0, -4*b - 2 - 14 = 0 for y. 10 Solve 0 = 3*q - 118397 + 118229, -3*p + 295 = 5*q for p. 5 Solve 0 = 36*d + 58*t - 56*t - 104, 3*d - t - 32 = 0 for d. 4 Solve 4*w + 3*h = 3920 - 3895, -3*w = -2*h - 40 for w. 10 Solve -4*w + 3*y - 5 + 2 = 0, -w = -2*y - 5237 + 5234 for w. -3 Solve d + 13 = 6*i, 5*d - 12*i - 32888 = -8*i - 32927 for d. -7 Solve 2*p + 1 = -0*p + 5*a, -3 = -2*p - 86*a + 87*a for p. 2 Solve 28*j + 24 = -2*f - 6, -4*j = j + 4*f - 93 for j. -3 Solve f + 2*f = -7*q + 3, -99*f + 96*f - 5*q + q - 6 = 0 for f. -6 Solve 5*y + 3*d = -147 + 151, y + 34*d = 39*d + 12 for y. 2 Solve 8*j - j - 3*h = 85, -41*h + 42*h = -2*j - 37 for j. -2 Solve 40*r - 20*d + 39*d = 73*r - 36*r + 14*d + 40, -5*d - 210 = -22*r for r. 10 Solve -4*h = -0*h - 4*j - 20, -21254*h + 42511*h - j - 11 = 21254*h for h. 3 Solve w + 4*f = 61, -339 = -4*w - 17477*f + 17480*f for w. 81 Solve -50611*m + 50606*m = -3*j + 37, -2*m - 9 - 2 = -5*j
{ "pile_set_name": "DM Mathematics" }
*x = -10*b + 20, 2*x - 10 = 128*b - 127*b + 4*x for b. 0 Solve 5*a - 29*x - 23*x - 31 = -53*x - 260, -2*a - 2*x = 90 for a. -46 Solve 0 = -3*k - 2*k + 20, -16027*x + 16023*x + 40 = -15*k for x. 25 Solve -h - j + 25 = 2*h + 80, -2*j - 260 = 14*h + 2*j for h. -20 Solve 5*i - 85 = -4*x + x - 150, 3*i - 4*x + 39 = 0 for i. -13 Solve -5*l + 74 - 132 = 2*r - 69, -r + 5*l = 2 for r. 3 Solve 0 = 4*u - 1867*a + 1866*a - 47, -17*u = -a - 86 for u. 3 Solve 876 = 3*s + 5*v + 940, -96 = 4*s - 4*v for s. -23 Solve -178672*r - 2*d = -178668*r, -r + 3*d = -4*r - 9 for r. 3 Solve 2324*j = 2323*j - 3*h + 14, -3*j - 218 = -56*h for j. 2 Solve -5*b - 65 = k, -122*b + 117*b + 40*k - 20 = 32*k for b. -12 Solve -4*w - 8 = 2*p, -120*p - 447 = 5*w + 33 for p. -4 Solve -74*p + 4*o + 420 = 0, 2*p + 7*o - 4*o + 2*o + 0*o - 42 = 0 for p. 6 Solve -7 = -w - 5*b + 5, -215*w - b = -201*w + 39 for w. -3 Solve -7*z = 5*y - 52, 5*z - 34 = -2080*y + 2078*y for z. 6 Solve 57129*n - 57131*n - 3*w - 6 = w, 5*n + 38 = 13*w for n. -5 Solve -5*y - h - 70 = 0, -2*h - 3191 + 2641 = 92*y for y. -5 Solve 97 = -2*p + 117, 3*y - 484*p + 4849 = 0 for y. -3 Solve -3*v + 0*v + 3*n - 30 = 0, 4*v + 0*n + 216 = 2*v + 30*n for v. -3 Solve 5*c - 3*d + 106 + 9 = -30, 24*c - 10*d = -696 for c. -29 Solve 5*t - 22*m + 160 = 14*m, 0 = 29*t - 32*t - 4*m + 32 for t. 4 Solve 0 = -z + r + 29, 6459*r = 2*z + 3226*r + 3238*r - 65 for z. 30 Solve 593765*s = 593763*s - 13*n + 85, -4*s = 3*n - 9 for s. -3 Solve 0 = -3*f - 2*u + 11, 142*u - 63*u = -5*f - 79 + 400 for f. 1 Solve -3*t - 33 = 6*q + 81, 3*t - 37 = -1596*q + 1585*q - 236 for q. -17 Solve -2*p - 178 = -3*j, -72*p + 137*p = 64*p - 17*j - 126 for p. -92 Solve -42*w + 46*w + 265 = 7*l, -4*l = -0*w - 3*w - 11*l + 230 for w. -5 Solve -v + 36*j = 40*j - 11, 5*v = 2*j + 2*j + 7 for v. 3 Solve 3*l = 5*m - 120, 0 = 6000*l - 5995*l - 5*m + 263 - 63 for l. -40 Solve -12*m + 17*m + 1984 = m - 288*l, m = 3*m - 2*l - 30 for m. 8 Solve -8*s + o = 60, -4*o + 60 = -328234*s + 328238*s for s. -5 Solve 2 = -5*c - 2*i, 18 = 1430*c - 1430*c + 2*i - 5*i for c. 2 Solve 1503*r - 404 = 1507*r - 6*a, 4*r + 5*a = -360 for r. -95 Solve 6*u = -3*z + 159, 13*z = -4*u - 1443 + 1582 for u. 25 Solve -16*n + 8*n + 9*t + 3 = -6*n, -4*t + 12 = -2*n for n. -12 Solve -3*f - f - v - 8 = 0, -13*f - 16 = -19*f + 2*v for f. 0 Solve 0*p - 5*p - 27*z - 22 = -24*z, z + 6 = -p for p. -2 Solve -1056 = 29*u - 33*u + 37*p - 411, 3*u = p + 29 for u. 4 Solve -x - 81 + 125 = 4*t, -8*t + 88 = -3*x for x. 0 Solve 14*o - 286 = 5*w, -2*o + 83 = 45 for w. -4 Solve h + 3*k = -2, -62 = 18484*h - 18489*h + 3*k for h. 10 Solve -98*m + 93*m + 30 = -5*o, 4*o + 14 = -m for m. 2 Solve -22*a + 10*a = n, -11*n - a = -6*n - 4*a for n. 0 Solve 3*p + 4*j + 63732 = 63827, -p - 2*j = -31 for p. 33 Solve -61 = -3*a + 4*u, -4*a + 3*u - 7 + 56 = -23 for a. 15 Solve 15 = -1169*n + 1166*n, 0 = 2*r - 3*n + 3 for r. -9 Solve 35 + 34 = 5*x - 5*o + 49 - 20, 5*o + 76 = 11*x for x. 6 Solve 3*m - 44*n - 134 = 0, 402*m + 114*m + 8 = 516*m - 2*n for m. -14 Solve -5*a - 23*m + 16 = 0, -184123*m = -a - 184126*m for a. -6 Solve 42*d - f = -503, d + 3*f - 262 = -2*f - 279 for d. -12 Solve 3*q + 3*t = 42, 12*t - 25 + 13 - 30 = -2*q - 3*q for q. 18 Solve 28*w = -0*w - w - 2*i + 68, 0 = w + 5*i - 27 for w. 2 Solve -5*g = 3*j - 16, -28*g - 2*j - 11 = 4 - 75 for g. 2 Solve 2*k + 20 = -4*w, -2*w + 45*k - 13 - 5 = 50*k for w. -4 Solve -5*g - 5 = 0, 223*s + 10*g = 224*s + 17 for s. -27 Solve 2*l - 52 = 5*h, 2*h + 127648 - 127628 = 0 for l. 1 Solve -6*h - 2*m + 12 = -4*h + m, -438*h - 11*m = -438*h for h. 6 Solve -119*m - 5*t = -121*m + 56, 2*m + 24 = -3*t - t + t for m. 3 Solve -b - 4*a = -15, 23032*a - 23027*a - 17 = -3*b for b. -1 Solve d = -69*t - 0*d - 408, t - 19*d + 12 = 3*t - 15*d for t. -6 Solve -21*w + 25*w + 172 = 10*t, 2*w + 40*t = 35*t + 74 for w. -3 Solve -481*y + 5*u - 144 = -480*y, -8*u = 5*y - 204 for y. -4 Solve -69672*f = -5*i - 69676*f + 37, 0 = -17*i + 2*f - 77 for i. -3 Solve -369*w + 1118*w - 371*w - 5*j = 376*w - 27, -5*j = 5*w + 15 for w. -6 Solve 0 = -r + 3*z + 42, 50*z = -3*r + 49*z + 116 for r. 39 Solve y - 4*s = -11, -2*y + 216021*s - 216007*s = 34 for y. -3 Solve 0 = -18*y + 5*l + 21, -20*y + 25*y - 13 = -l for y. 2 Solve -4*f - 2*i = -16, 15*f = 17*f - 8*f + 17*i + 44*i - 1128 for f. -5 Solve -397*c = 4*r - 392*c + 153, -r = -2*c - 69 for r. 3 Solve -2*o - 12 = -2*j, 16*j - 8*j - o = 9 + 60 for j. 9 Solve 5*x - 71*h = 1040, 125*x - 124*x = -5*h - 80 for x. -5 Solve 4*w - 4029*g + 120 = -4025*g, 0 = 2*w - 3*g + 89 for w. -1 Solve -u + 27*p = 2*p + 23*p + 38, -37*u - 6*p = 1406 for u. -38 Solve 5*b + 93 = 5*r + 68, 33*b + 8*b - 68 = 2*r for r. 7 Solve -45*y + 167 = -41*y + 5*t, -3*t = 5*y + 2*t - 170 for y. 3 Solve -b = 12 - 19 + 11, -16 = 5*w - 23*b + 27*b for w. 0 Solve -u = 2*a - 7*a - 11, -u - 6148 + 6150 = 4*a for u. 6 Solve 15*o = 136*c - 135*c - 38, 6 = -c + 4*o - o + 8 for c. -7 Solve a + 150 - 58 = -4*a + 9*c, 20*a - 9*c + 7*c = -266 for a. -13 Solve 3*u - 6852*y + 6842*y + 3 + 33 = -u, -y - 2*y + 6 = 0 for u. -4 Solve 64 + 44 = 18*d - 2*u, 2*d - 26 = u for d. 4 Solve 3*h - 53*b + 2*b + 978 = 0, -4*h + 10*b = 9*b + 31 for h. -3 Solve 0 = n + 4*n - 3*k + 203, 259 = 2804*n - 2799*n + 4*k for n. -1 Solve 10*l + 97 + 267 = -n, 4*l - 4*n = -128 for l. -36 Solve 1999*n = 2*h + 2004*n + 36, 4*h - 4*n = -72 for h. -18 Solve -139*d + 136*d - 54 = 0, 8*d = -3*o - 132 for o. 4 Solve 5*v = 603*i - 632*i + 236, 2*v + i - 111 = 6*i - 0*i for v. 53 Solve -52 = -k + 9*x, -2359*k - 20 = -2361*k + 4*x for k. -2 Solve -7*j - 380*d + 759*d - 12 = 383*d, 0 = 2*d + 6 for j. 0 Solve 2*c + w + 14 = -3 + 8, -c + 42*w + 293 = 0 for c. -1 Solve -86*g + 82*g = -v - 30, 0 = -81*v + g - 2107 for v. -26 Solve 424*g + 180 = -4*b + 419*g, 2*b + 4*b - 4*g = -224 for b. -40 Solve 85*h - 48*h - 4*a + 10 = 34*h, h + 6 = 2*a for h. 2 Solve -3*s + 13*p = 8*p + 31, 5*p - 19 = 3156*s - 3159*s for s. -2 Solve -23*y = -18*i + 849, -3*i + 96*y - 84 = 99*y for i. 5 Solve 2*f + 248771*g = 248774*g - 39, 57 = -2*f + 9*g for f. -15 Solve -3*z = 3*c - 120, 2*z + 9*c + 6096590 = 6096691 for z. 37 Solve 0 = d - 6, 3*y = 4*d + 23188 - 23227 for y. -5 Solve w + 35 = 5*w - 72*b - 83*b + 158*b, -70*w - 2*b - 246 = 0 for w. -4 Solve -4*k = -5*j - 318 + 277, 7*j + 19 = -4*k for k. 4 Solve -3*u - 213795*k = -213799*k + 15, -2*k = -5*u - 39 for u. -9 Solve -4*r - 63 = -j, -6*r + 26*r - 9*r + 4*j = 13*r + 14 for r. -17 Solve 234813*o - 234816*o = -4*h + 24, -5*o - 2*h = 14 for o. -4 Solve -5*r = 22*h - 389, -529*r = -530*r + 4*h - 65 for r. 3 Solve -6*a - 8*s + 18 = 0, -467 = -4*a - 2*s - 465 for a. -1 Solve 5*t - 102 = 3*q, 3*q + 2*t + 14315 - 14234 = 0 for q. -29 Solve -208*y - 4*d - 4 = -210*y - 0*d, 2*d + 2 = 3*y + 4 for y. -2 Solve 825*y - 7 = p + 828*y, -56*p + 7*y = 917 for p. -16 Solve 2*i + 6*g = i + 41, -413735*i + 2*g + 0*g = -413736*i + 21 for i. 11 Solve -4*y + 231 - 225 = -o, o - 5*o + 2 = -y - 4 for y. 2 Solve -10*d = -14*d + 4*g - 20, -2*d - 205 = 4*g - 243 for d. 3 Solve -3*m = u - 17, 196*m = 19*u + 193*m - 83 for u. 5 Solve -2*o + 14*o = 8*o + 2*x - 94, 0 = -o - x - 31 for o. -26 Solve -2*j - 4*f = 2*j, -27*j + 57*j + 3*f + 64 = 11*j for j. -4 Solve 11306*a = 11309*a + 8*b + 177, -13*b - 312 = 0 for a. 5 Solve 90 + 34 = 2*r + 9*r + 5*n, 5*r - n - 11 + 7 = 0 for r. 4 Solve -5*m - 31*i + 13*i = -9*i - 8*i - 55, -3*m + 35*i = 1925 for m. 0 Solve 0 = 5*b - 3*x - 30, -20 = -93333*x + 93337*x for b. 3 Solve 7*n - 129 = -3*d, -6011*n + 6010*n = 4*d - 172 for n. 0 Solve 210*o = -11*g + 208*o - 200, 11*g - 5*o + 193 = 0 for g. -18 Solve 153 = 3*r + 81*a, 826*r - 5*a - 255 = 821*r for r. 51 Solve 7*d - 6*d + 5*q + 3 = 5*d - 1, 0 = -3*d + 135*q - 522 for d. 6 Solve -13*x - 66 = -3*i, -34992*i - 4*x = -34993*i - 3*x + 22 for i. 22 Solve -5*r = -13*p - 58, 0 = 2*p - 3*p + 17*r + 11 - 165 for p. -1 Solve 3*d = 4*v - 23, 3*d - 37851 = -3*v - 37902 for d. -13 Solve 19*v + 83 = -2*f, 4*f - 3*f + 4*v = 1576 - 1590 for f. 6 Solve 5*c + 985*g = 493*g + 488*g - 220, 76 = -2*c - 4*g for c. -48 Solve -5*h + 5*v - 6 = -2*h, -9*h = 3*v + 69 + 3 for h. -7 Solve 0*f + 4*r = 3*f + 43, 22*f = -1124*r + 1125*r - 287 for f. -13 Solve 6*a + 2*a + 4*z - 3*z = -2*z + 387, 135 = 3*z
{ "pile_set_name": "DM Mathematics" }
4 + p*k**2 and give p. 0 Express 252*c**2 + 252*c**2 - 3*c**3 - 23*c - 504*c**2 in the form o*c + d + y*c**3 + r*c**2 and give y. -3 Express 195*t - 59*t + 219*t - 57*t as f*t + k and give f. 298 Express -6365*p**2 + 3182*p**2 + 3201*p**2 in the form r*p + j + i*p**2 and give i. 18 Express -1 + 113*u + 1 - 375*u - 727*u in the form b*u + m and give b. -989 Rearrange (-14 - 24 + 26)*(-5*w + 16*w - 12*w) - 2*w + 2*w - 4*w to l + h*w and give h. 8 Express 3*z**2 + 3 + 2*z**4 - 519*z**3 + z - 2*z**2 + 519*z**3 as a + c*z**4 + u*z**2 + s*z**3 + w*z and give c. 2 Express y**3 + 2983*y**2 - 2*y + y - 1491*y**2 + 38*y**4 - 1487*y**2 in the form d + b*y**2 + q*y**4 + u*y + x*y**3 and give u. -1 Express -6 + 16*a**3 + 22*a**3 - 36*a**3 + a**2 + 2*a in the form w + k*a**2 + f*a + p*a**3 and give p. 2 Rearrange ((-1 - 2 - 2)*(-1 - 9 + 3) + 0 + 0 + 2)*(-z**3 + 10 - 10) to i + q*z + b*z**2 + c*z**3 and give c. -37 Rearrange -9*a + 6*a + 62*a**2 + 4*a + 2*a to the form v*a**2 + b*a + q and give b. 3 Rearrange 30*m**2 + 0 + 5 - 28*m**2 + 6*m to t + r*m + k*m**2 and give r. 6 Express 0*x**4 + 2*x**4 + 8*x**4 + (-12*x + 10*x + 8*x)*(x**3 + 3*x - 3*x) as k + l*x + c*x**2 + j*x**4 + b*x**3 and give j. 16 Rearrange 8*n - 5*n - 2*n - 187 + 6*n - 3*n to the form d + c*n and give c. 4 Rearrange 122*h**2 - 120*h**2 + 367*h**2 - h to the form f + n*h + i*h**2 and give n. -1 Rearrange (-2*n - n + n)*(3341 - 262 + 2474 - 398 - 420) to l + m*n and give m. -9470 Rearrange (-2*i + 5*i - 2*i)*(4 + 4 - 18) - 4*i + 4*i - 2*i - i + 0*i + 0*i + (-4 + 3 - 1)*(-6*i + i + 3*i) + 2*i - 3*i + 2*i to j*i + a and give j. -8 Rearrange -9*w + 8*w + 2*w + 223 - 2*w + 0*w to the form g*w + t and give g. -1 Rearrange -5*k**2 + k - 5*k**2 + 7*k**2 - k**4 - 2 to the form n + m*k + h*k**2 + r*k**4 + d*k**3 and give d. 0 Express (-25*f**3 - 3*f + 3*f)*(10*f - f - f) as c*f + d*f**2 + z + h*f**3 + q*f**4 and give h. 0 Express 3*r + 3*r - 144 + 144 + 36*r**2 in the form o*r + n + z*r**2 and give o. 6 Express -2 + 2 - 875*a**2 + 7*a**2 in the form v*a + c*a**2 + f and give c. -868 Express 648*a + 17 - 17 - 112*a in the form z*a + b and give z. 536 Rearrange 140 + 11*o - 64 - 34 to the form w + f*o and give w. 42 Express -141 + 2*x**2 + 65 + 4*x + 65 - x in the form o*x**2 + b*x + y and give b. 3 Rearrange 11*j**3 - 4*j**4 + 2*j + 2*j - 13*j**3 + 6*j - 2 to m*j**2 + u*j**3 + c + g*j**4 + i*j and give c. -2 Express 4*l**2 + l**2 + 188*l**3 - 199*l**3 in the form z*l + r + m*l**2 + j*l**3 and give r. 0 Express 671*g**3 + 4*g**2 + 241*g - 627*g**3 - 238*g in the form w*g**2 + f + n*g**3 + y*g and give w. 4 Rearrange (-1 - 3*q + q - 5)*(-1 + 2 - 2) to the form u*q + g and give g. 6 Rearrange -1950*x**4 - 1 - x - 3 + 1956*x**4 to r + g*x**4 + u*x**3 + o*x**2 + a*x and give g. 6 Rearrange 5*x**3 + 607 - 607 + 0*x**2 + 12*x - 14*x - x**2 to the form s*x**3 + l*x**2 + v + b*x and give l. -1 Rearrange (-3 + 3 + 5*m)*(-2 + 1 - 2) + m - m + 2*m + (m + m + 0*m)*(0 + 1 - 3) - 2*m + 5 - 5 to the form j + u*m and give u. -19 Express 84*j + 31*j - 17*j + 9*j in the form k + m*j and give m. 107 Express k**2 + 2*k**3 + 5*k**2 - 3*k**2 + k**2 - 12 in the form l*k**2 + s*k**3 + r*k + u and give r. 0 Express -6*g**2 + 4*g**2 + 3 + 8*g**2 - 1 - g as w*g + p*g**2 + h and give h. 2 Express 16794 - i + 3*i**3 - 2*i**4 + 7*i**2 + 0*i**4 - 16783 + 2*i in the form r*i**2 + u*i**3 + z*i + x*i**4 + a and give u. 3 Rearrange (-h + 2*h + 5*h)*(-4*h + 84 - 1 + 3*h) to the form w*h**2 + v*h + u and give v. 498 Express -19*m**2 - 52*m**2 + 8*m**2 in the form p*m + i*m**2 + k and give i. -63 Express 3*o**4 + 19*o**3 + 10 - 2*o**4 + 20*o**3 - 34*o**3 in the form b + p*o + r*o**2 + a*o**4 + u*o**3 and give b. 10 Express -5*y - 16 - 9 + 18 + 6*y + 3*y as u + j*y and give u. -7 Express (3 - 87*k - 12 + 7 + 1)*(-k + k + 5*k) in the form j + w*k + d*k**2 and give d. -435 Rearrange (-200*z + 4*z - 45*z - 5)*(2*z + 1 - 1) to the form f*z + m*z**2 + j and give m. -482 Express (-3 + 4 + 6)*(-t + 5*t - t) + 47*t - 16*t + 59*t in the form j + u*t and give j. 0 Express -q**3 - 2*q**3 + 4*q**3 + (6*q - 3 + 3)*(2 - 3 - 2)*(-1 + 4 + 1)*(-2*q**2 + 5*q**2 + 11*q**2) in the form z + h*q**3 + l*q + b*q**2 and give h. -1007 Rearrange 2*c - 2*c - 2*c + (-2 - 2 + 1)*(-86*c - 262 + 262) - 3*c + 2*c + 3*c to w + z*c and give z. 258 Express 3*g**2 + 5*g**2 - 4*g**2 + 15*g - 3*g - 9*g**2 in the form b*g**2 + c + q*g and give b. -5 Rearrange 8*i**3 + 20*i + 7*i**3 - 7*i**3 - 12*i + 1 + 2*i**3 to the form s*i + a*i**3 + r + j*i**2 and give r. 1 Rearrange (3785*l - 579 - 1895*l - 1892*l)*(-l - 2*l + 0*l) to the form v*l**2 + d*l + z and give v. 6 Express 39*v + 3210 - 1603 - 1597 as o*v + j and give j. 10 Rearrange ((-2 + 2 - 2)*(3 - 1 - 3) + 58 + 166 - 123)*(-u + u - u) to i + y*u and give i. 0 Express -2 + 353*b**2 + 5 + 2 - 4 - 2 - 3*b in the form d*b**2 + x*b + y and give y. -1 Rearrange 0*w**3 + 2*w**3 + 50772*w**2 - 50786*w**2 + 2*w - 11 to p*w**3 + m*w + s*w**2 + a and give a. -11 Rearrange ((-2 - 2 + 5)*(4 - 5 + 3) - 5 + 4 + 2 + 0 + 0 - 1 + 1 + 0 - 2)*(-i + 3*i - 16*i) to the form v*i + k and give v. -14 Express 21*x**2 + 22 + 302 + 23*x**2 - 45*x**2 in the form t + g*x**2 + b*x and give t. 324 Rearrange ((4 + 1 + 2)*(-1 + 2 - 3) + 4 - 2 + 0)*(-2*x**2 + 3*x**2 - 2*x**2)*(-5 + 6 + 2*x + 5) to l*x**2 + v*x**3 + o + u*x and give u. 0 Rearrange (-2*w + 6*w**2 + 2*w)*(1 - 5 + 2)*(-79 + 55*w + 79) to h + a*w + g*w**3 + q*w**2 and give q. 0 Rearrange x - x + 2*x**3 + (0*x + 3*x**2 + 0*x)*(x + 2*x - 2*x) + 423 + 54*x**3 - 423 to the form o*x**2 + w + j*x**3 + b*x and give j. 59 Rearrange (-6 - 19 + 1)*(2 + 0 - 1)*(q - 3*q + 3*q)*(-2 - 8 + 3) to b + a*q and give a. 168 Rearrange ((0*m + 3*m - 5*m)*(m**2 - 4*m**2 + 2*m**2) + 0*m**3 - 5*m**3 + 2*m**3)*(-20 + 38 - 178) to the form u*m**3 + h*m**2 + t*m + p and give u. 160 Rearrange -x - 8*x + 2*x**4 + 7 - 2 + x to the form y*x**3 + a + r*x**4 + w*x**2 + h*x and give h. -8 Express -106 + 106 + 39*s + 0*s - s - s - 2 + s + 2 + (2*s - s + s)*(1 + 1 - 1) in the form d + b*s and give b. 40 Express (5*a - 4*a - 2*a)*(464*a + 2*a**2 + 567*a - 1321*a) in the form u + h*a + l*a**3 + m*a**2 and give l. -2 Rearrange -1002*h**3 - 7*h - 10 + 979*h**3 + 7*h to the form c*h**3 + r*h + k + s*h**2 and give c. -23 Rearrange (-3 + 3 + 3)*((-4 - 3 + 5)*(j - j + 2*j) + (5 - 1 - 2)*(-5*j - j + 4*j)) + (6 - 7 - 9)*(-2*j - 3*j + 4*j) to d + h*j and give h. -14 Express (-350 + 134 + 81)*(u - 3*u + 3*u) as r + l*u and give l. -135 Rearrange (h - 3 + 3)*(9 - 12 - 26) + 11 + 0 + 2*h + 0 to the form s + z*h and give z. -27 Rearrange 105*l**4 - 187*l**4 - 473*l**4 + (-2*l - 2*l + 2*l)*(2*l**3 - 2*l**3 + 2*l**3) to the form i*l**4 + g*l**2 + q*l**3 + k*l + j and give i. -559 Express 23 - 66 + 25 - 14*q**3 + 2*q - 3*q**2 + 19 in the form l*q**2 + g*q**3 + h*q + m and give m. 1 Express (-4 + 3*u + 4)*(0 - 1 - 1) + (3 + 1 - 3)*(1 - u - 1) + 0 + 92*u - 8 - 87*u - 3 + 3 - 2*u as g*u + z and give g. -4 Express -17*c - 7*c - 5 - 3 + 36*c + 5 as o*c + n and give o. 12 Express (3*r**4 - r**4 + 0*r**4)*(-4 + 4 - 2) - 19*r**3 - 7*r**3 + 806*r**4 + 267*r**4 + 26*r**3 as q*r**4 + t*r**2 + d + k*r**3 + j*r and give d. 0 Express 408*p - 826*p + 418*p - p**2 - 358 as q*p + v + z*p**2 and give v. -358 Express (2*p + 5*p - 5*p)*(-14200 + 302*p**2 + 14200) in the form k*p + r + c*p**2 + v*p**3 and give v. 604 Rearrange 172 - 129 - 96*h + 95*h to the form p + z*h and give p. 43 Rearrange (-2*h + 1 - 1)*(-13*h**2 - 3996 + 3996)*(h + 3*h - 1 - 9*h) to r*h + u + f*h**2 + a*h**4 + q*h**3 and give a. -130 Express -7*z + 16*z - 15*z - 17*z in the form r*z + m and give r. -23 Rearrange (2*r**3 + 0*r**3 + r**3)*(-4 + 2 - 5)*(0 + 0 - r) to the form o*r + j*r**3 + u*r**2 + x*r**4 + d and give x. 21 Rearrange ((-2 - 1 + 5)*(3 + 0 - 1) + 3 + 1 - 6 + 1 + 4 - 4)*(-186*k + 96*k + 65*k) to the form c + u*k and give u. -75 Rearrange (3*n - 3*n - n)*(n - 2*n - 3*n) - 254*n**2 + 926*n**2 + 660*n**2 + 1675*n**2 to s*n**2 + g*n + u and give s. 3011 Express -22 - 19 + 233*u**2 - 17 + 266*u**2 + 59 as y*u**2 + w + x*u and give y. 499 Rearrange -19*u**2 + 0*u**3 - 15*u**4 + 16*u**4 + 1 + 2*u**3 - 3*u**4 to the form n + y*u + f*u**2 + d*u**4 + z*u**3 and give z. 2 Rearrange (0*b - 4*b +
{ "pile_set_name": "DM Mathematics" }
- 5 + 11*u. Let k be z(10). Suppose -4*d - 18 = -k*r, 3*d - 24 = -4*r - d. Is 7 a factor of r? True Let n be 4/6 - (-1309)/21. Does 15 divide (-76)/19 + (n - 0)? False Suppose -3*t = -6*t + 21. Let y = -6 + 12. Is (5/y)/(t/42) a multiple of 3? False Let n be 5/25 + (-724)/(-5). Suppose -4*w - 5*a = -265, 0*w = -2*w - 5*a + n. Does 34 divide w? False Suppose 0 = 5*k - 5*s + 1414 + 1666, -3*k - 1842 = -s. Let w = 1100 + k. Let x = -335 + w. Does 38 divide x? True Let z = -1922 - -3693. Is z a multiple of 23? True Let l = -784 + 1715. Is 27 a factor of l? False Suppose 5*h + 102 + 58 = 0. Let o = h + 38. Does 16 divide (-1431)/(-15) - o/(-10)? True Suppose -145 = -4*m - g, -g = -3*m - 4*g + 120. Let b = 98 - m. Is b a multiple of 6? False Let p = 101 - 159. Let q = p + 98. Does 5 divide q? True Let y(b) be the first derivative of b**3/3 + 3*b**2 - 6*b - 4. Let r be y(9). Let z = r - 83. Does 16 divide z? False Let m = 34 + 18. Let p = -20 + m. Is p a multiple of 5? False Let h = -311 - -360. Does 4 divide h? False Let s(v) = 11*v**2 + 2*v - 3. Suppose 4*w + 8 = 5*g - 17, -4*w = -2*g + 22. Does 2 divide s(g)? True Suppose -3*n + 1231 = l, -1239 = 4*l - 5*l - n. Is 15 a factor of l? False Suppose -3*i + 15 = -2*i. Let g be (5/3)/(5/i). Suppose -g*j - 5*n + 130 = 0, 6*j - j = -2*n + 118. Is 10 a factor of j? False Let x = -119 + 537. Is x a multiple of 38? True Suppose 8*y - 434 = y. Is 3 a factor of y? False Suppose 2*c + 35 = 5*h, 2*c = -4*h + 3*c + 25. Suppose h*v + 5*z = 30, -15 - 3 = -v - 4*z. Suppose -16 = -v*b + 54. Is 12 a factor of b? False Let d = 66 + -47. Let c = d + 20. Does 16 divide c? False Suppose -18*t - 4 = -16*t. Does 22 divide 45/2 - t/(-4)? True Let s(g) = 146*g**3 + 2*g**2 - 1. Let t(z) = 2*z - 11. Let o be t(6). Let h be s(o). Suppose -3*j = -0*j - 3*q - 93, 5*j - q - h = 0. Is j a multiple of 14? False Let r(x) = -7*x + 20 - 3*x + 9*x + 2*x. Let t be r(0). Suppose -104 = -u - t. Is 12 a factor of u? True Let l = 18 - 26. Is 5 a factor of 4 + l + 21 + (0 - 1)? False Let d be -2*(9/2)/3. Let v be -95 - (1 + -4) - d. Is 24 a factor of ((-1)/(-1) + -2)*v? False Suppose -6*f + 35*f = 19082. Does 14 divide f? True Is 11 a factor of (0 + (-846)/42)/(2/(-14))? False Let d(i) = 26*i**3 + 4*i - 4. Is 22 a factor of d(3)? False Suppose 3*g = 3*r + 2*r + 131, 4*r + 16 = 0. Does 23 divide g? False Let s = 15 - 2. Let l = -28 + s. Let a = l - -30. Is a a multiple of 5? True Let h(j) = -j**3 - 12*j**2 - 11*j + 3. Let b be h(-11). Suppose -15 = -b*i - 0*i. Is 384/30 + 1/i a multiple of 8? False Let i = 10 - 7. Suppose -7*q = -i*q - 64. Suppose -q - 24 = -5*d. Is 8 a factor of d? True Is 14 a factor of ((-444)/14)/(18/(-63))? False Let w(v) = v + 11. Suppose 0 = -3*g + 3 - 18. Let m be w(g). Is (-5 + -3)/((-2)/m) a multiple of 12? True Suppose 4*q - 5*f - 5086 = 0, -49*q + f + 3809 = -46*q. Is q a multiple of 18? False Let f(l) = -2*l - 1 + l**2 + 3 - 2*l. Let r(s) = s**2 + 22*s + 76. Let y be r(-18). Is f(y) a multiple of 2? True Let s(m) = 2*m**2 + 17*m - 10. Let z(q) = 3*q**2 + 34*q - 21. Let k(x) = -5*s(x) + 3*z(x). Is k(7) a multiple of 11? False Suppose -153090 = 216*u - 270*u. Is u a multiple of 13? False Suppose b + 3*z + 33 = 0, 7*z = -2*b + 4*z - 75. Does 7 divide (32/(-6))/(7/b)? False Let y = -61 + 61. Suppose -8*g = -y*g - 144. Does 4 divide g? False Suppose -4*t + 752 = d - 759, -3*t + 4524 = 3*d. Is 12 a factor of d? False Let m = -1 + -39. Let l = -10 - m. Does 14 divide l? False Let z(b) = 148*b**2 - 37*b + 254. Does 16 divide z(6)? True Let j(p) = 10*p + 48. Is 59 a factor of j(7)? True Let l = -25 + 25. Suppose q = -3*o - o + 81, l = 2*o + 8. Is 26 a factor of q? False Let u(s) = -s**3 - 26*s**2 - 200*s + 4. Does 35 divide u(-17)? False Let c(o) = -17*o - 2. Let g be c(-2). Suppose -2*j + 17 = 4*z - z, g = 5*j + 4*z. Suppose 73 - 221 = -j*k. Does 37 divide k? True Let h(z) = 42*z - 15. Does 16 divide h(6)? False Suppose 4*d = -12, -3*d + 1629 = 5*m - 6*d. Is 25 a factor of m? False Suppose 3*t = -2*a + 327, -3*a = -4*a + t + 156. Let s be (-1065)/(-11) + 10/55. Let i = a - s. Does 13 divide i? False Let c = 419 - 180. Is 16 a factor of c? False Let c(h) = -h**3 + 7*h**2 + 7*h + 8. Let o be c(8). Suppose o*r - r + 5 = 0. Suppose r*t = 2*t + 84. Is 7 a factor of t? True Suppose 0 = 26*w - 22*w - 452. Is 17 a factor of w? False Let g = -83 + 85. Suppose -3*z = 4*v - v - 339, -g*z = -v + 110. Is v a multiple of 28? True Let b = -432 - -864. Is 36 a factor of b? True Suppose 28*c = -654 + 4014. Does 10 divide c? True Let m = -132 + 132. Suppose m = 6*x - 362 - 286. Does 15 divide x? False Suppose -19*h + 2304 = -13*h. Does 64 divide h? True Suppose -2*z = q - z - 270, 1050 = 4*q - 2*z. Suppose -265 = -2*h - 3*v + q, -1325 = -5*h - 4*v. Is 33 a factor of h? False Suppose -4 = 4*l + 4. Let r be ((-5)/l)/(2/4). Suppose -3*a - 58 = -5*a + r*d, 5*d = 5*a - 130. Does 12 divide a? True Let r be 70 - ((-20)/5 + 4). Let h = 223 - r. Does 21 divide h? False Let v = 65 - -59. Let a = -490 + 426. Let c = v + a. Does 20 divide c? True Suppose p = 3*h - 4 - 9, 0 = -p - 2*h - 3. Let z(j) = j**3 + 8*j**2 - 5*j + 3. Is 14 a factor of z(p)? False Suppose 2*h = -2*p + 458, -11*h - 5 = -6*h. Is 5 a factor of (116/10)/(-9 - p/(-25))? False Let c be 2 + (122 - -3) - -3. Suppose b - 2*h - 69 = h, 2*h = -2*b + c. Is 31 a factor of b? False Is 30/(1 + (-174)/180) a multiple of 18? True Let x = -12 - -15. Suppose -x*p = -m + 5, 0*m = -5*m + 25. Does 35 divide p + (1 - 116/(-2))? False Let j be (13 - 11) + (5 - 1). Let a(s) = 0 + 7*s + 4 - 2*s + j*s**2 + 0*s. Is a(-2) a multiple of 8? False Let d = 167 - 125. Does 42 divide d? True Let q(b) = 23*b - 3. Let w(t) = t + 3. Let n be w(2). Is q(n) a multiple of 28? True Suppose 3*c + 700 = 5*j, 0*c - 291 = -2*j - c. Suppose 0 = 4*f - 4*m + m - 279, 2*f - 5*m = j. Does 21 divide f? False Let o = 4 + 15. Let b(c) = -c**2 + 21*c + 10. Is b(o) a multiple of 8? True Let p = 308 + -125. Suppose 4*l - l = p. Let g = -31 + l. Is 15 a factor of g? True Suppose -5*f + 5*s + 2502 = s, -2*f - 4*s = -1012. Does 17 divide f? False Let v = 2081 + -1274. Is v a multiple of 6? False Let h(o) = 4*o**2 + 35*o + 98. Is 80 a factor of h(-15)? False Let l be ((-10)/6)/((-4)/12). Let t be ((-16)/20)/(1/l). Does 17 divide t/(-4) - (-48 + -2)? True Let h(b) be the second derivative of -b**4/12 + 23*b**2/2 - b. Let j be h(0). Suppose -2*w + j = -71. Is 23 a factor of w? False Let b(y) = -4*y - 2*y + 7*y - 12. Let v be b(16). Suppose -25 = -v*r + 31. Is 5 a factor of r? False Let k be 0*4/(-8)*-2. Let f be k*(1 - (3 + -1)). Suppose -2*p + 30 = -f*p. Is p a multiple of 5? True Suppose 11*o - 6*o + 20 = 0. Let x = o - -1. Does 11 divide 1*x - (-1656)/24? True Let w be 8/14*70/(-20)*-2. Suppose 2*y + d = y + 207, 4*d = y - 197. Suppose y - 5 = w*j. Does 10 divide j? True Suppose -50*i + 54*i + j - 737 = 0, -2*i - 4*j = -372. Is i a multiple of 12? False Suppose 0*g = 4*g. Suppose g = -7*u + 3489 + 1061. Does 8 divide u/15*(-12)/(-10)? False Let r(n) = n**3 - 8*n**2 - 15*n - 8. Let m be r(11). Let g = m - 88. Is g a multiple of 17? True Suppose -j + 2264 = 7*j. Is 27 a factor of (j/(-3))/((-6)/18)? False Let n be ((-35)/20)/(2/8). Let v = 14 - n. Does 21 divide v? True Let p = -95 - -99. Suppose 0*v - p*a + 44 = v, 2*a = -5*v + 274. Is 8 a factor of v? True Let w be 6/(-4)*4/(-6). Suppose 0 = r + w - 4. Does 18 divide 1*(r + 0 + 33)? True Let x be (-2)/2 - (-8 - -4). Suppose -x*g + 33 + 9 = 0. Does 14 divide g? True Let w be 2 + 0/(-2 + 5). Suppose -3*m = w*m + q - 416, 0 = 2*m + q - 164. Does 21 divide m? True Let g(p) = 10*p**2 + 60*p + 92. Let c(r) = -3*r**2 - 20*r - 31. Let i(v) = 7*c(v) + 2*g(v). Is 29 a factor of i(-14)? False Suppose 0*w = -2*v - 4*w - 20, -2*w - 58 = 4*v. Let z = 212 - 194. Let o = z - v. Is 13 a factor of o? False Suppose 6*p + 1190 - 3098 = 0. Is p a multiple of 30? False Is 4 a factor of (3 + 7)/(-4*(-3)/120)? True Let v be -52 - (3 + 2/(-1)). Let r(k) = k - 30. Let y be r(10). Let q = y - v. Does 11 divide q? True Suppose 2*h = -u + 532, 0*u + 788 = 3*h + 4*u. Suppose -l + 3*l + 2*t = 146, -4*l = -2*t - h. Is l a multiple of 29? False Let o = -156 - -876. Is o a multiple of 16? True Let i(a) = -2*a - 5. Le
{ "pile_set_name": "DM Mathematics" }
4 - 11*l**2 wrt l? -52*l**3 - 18*l Let w(p) be the second derivative of -5/4*p**4 + 0*p**3 + 0 + 0*p**5 + 0*p**2 + 0*p**6 + 13/42*p**7 - 6*p. Find the third derivative of w(c) wrt c. 780*c**2 Let z be 89/(-168) + 36/63. Let w(i) be the third derivative of -z*i**4 + 0*i**3 + 2*i**2 - 1/12*i**5 + 0 + 0*i. Find the second derivative of w(g) wrt g. -10 Differentiate -4792*q + 2170*q + 2357*q - 869 with respect to q. -265 Suppose -2*o = -8*o + 132. What is the third derivative of -o*c**2 + 10*c**2 + 9*c**2 + 4*c**4 wrt c? 96*c Let r(i) = i**2 + 5*i + 10. Let a be r(-4). Find the third derivative of 20*h**2 + 2*h**a - 20*h**6 - 24*h**2 - 15*h**2 wrt h. -2160*h**3 Let m(t) be the third derivative of 47*t**6/120 - t**5/30 - t**3/6 + 161*t**2. Find the third derivative of m(w) wrt w. 282 Let x be 0*2/4 - -6. Find the third derivative of 3*h**3 + 5*h**3 - 5*h**2 + x*h**2 wrt h. 48 Let s(q) = -251*q**2 - 2*q - 371. Let b(y) = -501*y**2 - 5*y - 739. Let m(t) = -2*b(t) + 5*s(t). Differentiate m(o) wrt o. -506*o Let o(s) = -22*s**3 + 7*s + 6. Let j(z) = 66*z**3 - 22*z - 18. Let i(u) = -3*j(u) - 10*o(u). What is the second derivative of i(w) wrt w? 132*w Let h(g) = g**3 + 9*g**2 - 2*g. Let j be h(-9). Find the first derivative of j + 3567*z - 3567*z - 16*z**2 wrt z. -32*z Let n = 3 + 7. Suppose s + 13 + n = 5*q, q - 5 = 0. Find the second derivative of 0*y**2 - s*y**2 + 4*y**2 - y wrt y. 4 Let d(h) = 58*h**2 - 20*h - 813. Let n(u) = 173*u**2 - 57*u - 2440. Let w(c) = -17*d(c) + 6*n(c). Find the first derivative of w(r) wrt r. 104*r - 2 Find the first derivative of -5*x**4 + 2*x - 4*x + 2*x + 4*x**3 - 101 wrt x. -20*x**3 + 12*x**2 Find the second derivative of 2*a**2 + 416*a**3 - 432*a**3 - 11*a + 77*a wrt a. -96*a + 4 Let j(x) be the third derivative of -2*x**7/35 + x**5/30 + x**4/8 - x**3/3 - 33*x**2. What is the second derivative of j(h) wrt h? -144*h**2 + 4 Let v(b) = -b. Let g be 3 + 0 + 2 + -3. Let r(k) = k**4 + 4 + 0*k**4 + 0*k**4 - g*k - 4*k. Let d(o) = -r(o) + 6*v(o). Differentiate d(t) wrt t. -4*t**3 What is the second derivative of 62*a**2 + 84*a**2 - 5*a**2 - 23*a - 27*a + 31*a**2 wrt a? 344 Find the second derivative of 3 - 96*w**5 - 302*w**5 - 4*w - 40*w**5 wrt w. -8760*w**3 Let x(r) be the third derivative of -287*r**5/60 + 31*r**4/24 + r**3/3 + 669*r**2. What is the second derivative of x(f) wrt f? -574 Suppose i = 4*o + 10 + 1, 6 = 4*i + 3*o. Suppose i*t - 2*t - 6 = 0. Differentiate t*w**3 - w**3 - 31 + 30 wrt w. 15*w**2 Let a be (-16)/4 + (0 - -6). Differentiate 18 + 23*z**4 - z**a - 31*z**4 + z**2 wrt z. -32*z**3 Let x(z) be the third derivative of 0 + 1/4*z**4 + 0*z**6 - 15*z**2 - 1/70*z**7 + 0*z**5 + 0*z + 0*z**3. Find the second derivative of x(h) wrt h. -36*h**2 Suppose 5*a = -2*t + 51, 3*a = 2*a + 5. Differentiate -t*w**4 - 11 + 0 + 5 + 1 with respect to w. -52*w**3 Let g(n) = -59*n**2 + 97. Let v(d) = 60*d**2 - 96. Let x(w) = 4*g(w) + 5*v(w). Differentiate x(o) with respect to o. 128*o What is the third derivative of -43*w**2 + 87*w**4 + w**5 + 95*w**2 + 87*w**2 - 154*w**4 + 88*w**4 wrt w? 60*w**2 + 504*w Let c(f) = 183*f**2 + 292*f - 8. Let g(w) = -182*w**2 - 287*w + 6. Let r(m) = 2*c(m) + 3*g(m). What is the second derivative of r(i) wrt i? -360 Let q(u) be the second derivative of u**6/30 - 17*u**5/20 + 343*u**3/6 + 32*u - 3. Find the second derivative of q(t) wrt t. 12*t**2 - 102*t Let o(q) = -q**2 + 8*q + 6. Let m be o(7). Let c = -9 + m. What is the second derivative of -2*b**5 + b - c*b + 2*b - 2*b**5 wrt b? -80*b**3 Let j be (-2)/((10/2)/(-30)). What is the second derivative of -24*r**4 - 27*r**4 - 2*r**5 + 51*r**4 - j*r wrt r? -40*r**3 Let o(z) be the second derivative of 0 + 11*z + 2/15*z**6 + 0*z**2 + 0*z**3 + 0*z**5 + 1/4*z**4. What is the third derivative of o(j) wrt j? 96*j Let m(x) be the third derivative of -x**7/10 + x**5/30 - 5*x**4/24 + 3*x**2 - 12. Find the third derivative of m(c) wrt c. -504*c Let b be (-2)/6 - 110/(-33). Suppose 0 - 6 = -b*a. What is the third derivative of a*f**6 + f**6 + 2*f**6 - f**2 wrt f? 600*f**3 Let w(s) be the third derivative of 0 - 31*s**2 + 0*s**6 + 0*s**5 + 0*s + 5/6*s**4 + 2/21*s**7 + 0*s**3. What is the second derivative of w(y) wrt y? 240*y**2 Let h(q) be the first derivative of -181*q**6/6 + 52*q**2 - 2*q - 464. What is the second derivative of h(w) wrt w? -3620*w**3 Let n(g) be the first derivative of -3*g**6/40 + 13*g**4/24 + 2*g**3 - 32. Let p(y) be the third derivative of n(y). Differentiate p(m) with respect to m. -54*m Let j(x) be the second derivative of -x**6/10 - x**3/3 - 79*x**2/2 - 25*x - 3. What is the derivative of j(l) wrt l? -12*l**3 - 2 Let k(y) = y**3 + 1. Let d = -28 - -27. Let c(o) = 17. Let h(g) = d*c(g) + 5*k(g). What is the derivative of h(r) wrt r? 15*r**2 What is the third derivative of 2*h**2 + 4*h - 16*h**2 + 1930*h**5 + h - 1795*h**5 wrt h? 8100*h**2 Differentiate 385*i**4 + 18*i - 190*i**4 + 51 - 197*i**4 wrt i. -8*i**3 + 18 Let r(g) = 98*g**3 + 15*g**2 + 10*g - 702. Let o(z) = -49*z**3 - 7*z**2 - 4*z + 348. Let h(d) = 5*o(d) + 2*r(d). What is the derivative of h(i) wrt i? -147*i**2 - 10*i Let q(i) be the second derivative of 0*i**3 - 6*i - 15/2*i**2 - 11/12*i**4 + 0. What is the first derivative of q(f) wrt f? -22*f Let r(f) be the second derivative of f**6/15 - f**3/6 + 35*f**2/2 + 22*f. What is the derivative of r(y) wrt y? 8*y**3 - 1 Find the first derivative of 718 + 86577*u - 86563*u + 220 wrt u. 14 Let d(a) = 2*a**2 - a. Let q be d(-1). Let l be 5/q + (-6)/(-18). What is the second derivative of 9 + 4*g**3 - 2 - 7 + l*g wrt g? 24*g Let c be 20/((-3)/(-3)*4). Let m be (-15)/2*(-4)/6. What is the second derivative of 18*n**m - 40*n**c + 15*n**5 - 12*n wrt n? -140*n**3 What is the derivative of 2683 + 3*t**2 - 3*t**2 - 2574 - 75*t**4 wrt t? -300*t**3 Let b(x) = -x - 6. Let o be b(-9). Suppose 0 = -4*n - 0*n + 676. Find the second derivative of 4*u**4 - n*u**o - 9*u + 169*u**3 wrt u. 48*u**2 Let l(t) = -55*t**2 - 99*t - 4. Let u(d) = 110*d**2 + 200*d + 10. Let s(g) = -5*l(g) - 2*u(g). What is the second derivative of s(o) wrt o? 110 Let r(i) = 8*i**3 - 8 + 18*i**2 + 1 + 4 - 6*i. Let b(v) = 8*v**3 + 18*v**2 - 8*v - 4. Let h(l) = -3*b(l) + 4*r(l). Find the third derivative of h(k) wrt k. 48 Let d(v) be the third derivative of v**7/70 + v**5/30 + 233*v**3/6 - 225*v**2. Differentiate d(x) wrt x. 12*x**3 + 4*x Suppose 0*g - 6 = -3*g + 5*p, 3*g = 3*p. Let s be -1 + 33/g*-1. What is the second derivative of 2*h**2 - s*h**2 + 6*h**2 + 5*h wrt h? -4 What is the second derivative of w**2 - 3*w**2 + 0*w**2 + 1 - 25*w + 7*w**2 + 24*w**2 wrt w? 58 Let b = -29 - -21. Let l be b/4*(-1)/1. What is the third derivative of -2*f**2 + 6*f**3 - 5*f**3 - 4*f**2 - l*f**3 wrt f? -6 Let i(f) = 2*f**2 - 48*f - 47. Let j(k) = -2*k**2 + k + 1. Let m(r) = i(r) + 2*j(r). Differentiate m(v) wrt v. -4*v - 46 Let g(y) = -y**3 + 7*y**2 - 8*y - 11. Let h be g(5). Let u(z) = 4*z - 2*z - z. Let r(q) = 42*q - 12. Let i(b) = h*r(b) + 36*u(b). Differentiate i(c) wrt c. -6 Let x(h) be the first derivative of -2*h**5/5 - 5*h**4/2 + 61*h + 106. Differentiate x(b) with respect to b. -8*b**3 - 30*b**2 Let j(r) = 94*r**2 - 81*r. Let y(w) = -281*w**2 + 242*w. Let v(c) = 11*j(c) + 4*y(c). Find the second derivative of v(s) wrt s. -180 Let h(u) = -33*u + 82. Let z(k) = 2*k. Let x(j) = -h(j) + 4*z(j). Find the first derivative of x(i) wrt i. 41 Let k(j) be the third derivative of j**6/24 - j**5/4 + 20*j**3 - 2*j**2 - 94*j. Find the first derivative of k(c) wrt c. 15*c**2 - 30*c Find the second derivative of -664*c**2 + 1327*c**2 - 669*c**2 + 35*c wrt c. -12 What is the derivative of 23 + 268*c - 76*c**2 - 268*c wrt c? -152*c Suppose 3*x + 14 = k, -1 - 1 = -3*k - x. Find the third derivative of 5*u**2 - 8*u**2 - 21*u**k + 8*u**6 wrt u. 960*u**3 Differentiate 29 + 254*b**2 - 58*b**2 + 32 + 5 with respect to b. 392*b Let h(v) be the third derivative of -v**6/60 + v**5/30 + 5*v**4/24 - 7*v**3/6 + 12*v**2 + v. Find the second derivative of h(y) wrt y. -12*y + 4 What is the third derivative of -108*s**6 + 2669*s**2 - 211*s**6 - 2339*s**2 wrt s? -38280*s**3 Let m(l) = 830*l**3 + 25*l + 69. Let w(x) = -5*x - 1. Let j(z) = m(z) + 5*w(z). Find the first derivative of j(n) wrt n. 2490*n**2 Let d(w) = w**
{ "pile_set_name": "DM Mathematics" }
t 1, -0.004, -3/22, 2 in decreasing order. 2, 1, -0.004, -3/22 Sort -8, 424, -5 in decreasing order. 424, -5, -8 Put 35, 4, -10, 0 in decreasing order. 35, 4, 0, -10 Sort -0.5, -1/14, -10. -10, -0.5, -1/14 Put -0.3, 2, 4/5, 1/6 in descending order. 2, 4/5, 1/6, -0.3 Sort -2, 21, 2/79 in ascending order. -2, 2/79, 21 Put 0.83, -96, 3/5 in decreasing order. 0.83, 3/5, -96 Put 4, -8, -2 in descending order. 4, -2, -8 Put 4/9, -1/4, -0.1, -7 in descending order. 4/9, -0.1, -1/4, -7 Put 58, 15, 1 in decreasing order. 58, 15, 1 Put -5, 104, 5, -1, 3 in ascending order. -5, -1, 3, 5, 104 Put -1, 4, 5, -4 in decreasing order. 5, 4, -1, -4 Put 17, -2, -1, -29 in descending order. 17, -1, -2, -29 Sort 3, 4, -5 in descending order. 4, 3, -5 Put 1, -17, -10, 0 in decreasing order. 1, 0, -10, -17 Sort 0.2, 6, 0.4, 0.7 in descending order. 6, 0.7, 0.4, 0.2 Sort -1/2, 0, 5, -5, -3 in descending order. 5, 0, -1/2, -3, -5 Sort -5, -8, 0, 4 in descending order. 4, 0, -5, -8 Sort -10, -5, 3, 20. -10, -5, 3, 20 Put 1, 19, -4 in decreasing order. 19, 1, -4 Put 2, 12, -2 in descending order. 12, 2, -2 Put 5, 17, -4, 3 in increasing order. -4, 3, 5, 17 Put -2, 601, -1 in increasing order. -2, -1, 601 Sort -1/4, 8, 0.3, -7 in descending order. 8, 0.3, -1/4, -7 Sort 807, 4, -5 in ascending order. -5, 4, 807 Sort -7, 0, 121 in increasing order. -7, 0, 121 Sort 1/8, -0.9, 2/5 in decreasing order. 2/5, 1/8, -0.9 Sort 1, -14, 4 in decreasing order. 4, 1, -14 Sort -0.0217, 3/8, -0.1, 4 in ascending order. -0.1, -0.0217, 3/8, 4 Sort -9, 43, 3. -9, 3, 43 Sort 4, 65, -3, -16, -5 in descending order. 65, 4, -3, -5, -16 Put 59, 3, -3 in decreasing order. 59, 3, -3 Put 56, -2, -5 in descending order. 56, -2, -5 Put -17, -55, 3 in decreasing order. 3, -17, -55 Sort 6/7, -4, -0.5, 0.448, -2 in decreasing order. 6/7, 0.448, -0.5, -2, -4 Sort 2, 182, 3, 0, -3 in increasing order. -3, 0, 2, 3, 182 Sort -3, 10, 4, -62 in increasing order. -62, -3, 4, 10 Put 0, 1, -30, -81 in increasing order. -81, -30, 0, 1 Sort -1/4, -3/5, 0.22 in descending order. 0.22, -1/4, -3/5 Put -0.01, -2, 1, 0.19, -3 in decreasing order. 1, 0.19, -0.01, -2, -3 Put 84, 4, -6 in decreasing order. 84, 4, -6 Sort 4.94, -5, 3/5, -3, 4 in descending order. 4.94, 4, 3/5, -3, -5 Put 1, 2, 5, 6 in ascending order. 1, 2, 5, 6 Put 4, -1/6, -5, 1.5 in increasing order. -5, -1/6, 1.5, 4 Put 47, -23, -4, -3 in descending order. 47, -3, -4, -23 Put -3, 1, -4, 4, -6 in descending order. 4, 1, -3, -4, -6 Put -1, -4, 1/14, 0.4 in decreasing order. 0.4, 1/14, -1, -4 Put -0.5, 4/9, 2/17, -1 in increasing order. -1, -0.5, 2/17, 4/9 Sort 3, 0, -29, -2, -1 in decreasing order. 3, 0, -1, -2, -29 Put -5, -4, -46, 1 in increasing order. -46, -5, -4, 1 Sort 0.5, -1, -3/4, 2/11, 0.2. -1, -3/4, 2/11, 0.2, 0.5 Put -2, -17, 6, 37 in decreasing order. 37, 6, -2, -17 Put 3, 5, -2 in decreasing order. 5, 3, -2 Sort -2, 1, -6 in increasing order. -6, -2, 1 Sort -4, 4, -5, -2 in increasing order. -5, -4, -2, 4 Sort -4, 0, 3, -57 in decreasing order. 3, 0, -4, -57 Sort -25, 1, 3 in ascending order. -25, 1, 3 Sort 4/7, -1/2, -5, -235/3, 3/4 in descending order. 3/4, 4/7, -1/2, -5, -235/3 Sort 0.04, -14, -1, 0.3. -14, -1, 0.04, 0.3 Put -1/10, -3, 0.5 in decreasing order. 0.5, -1/10, -3 Sort 0, -3, -9, -2, 4 in increasing order. -9, -3, -2, 0, 4 Sort 5, -4, 4, -15 in descending order. 5, 4, -4, -15 Put -1, -5, 511, -2, 3 in decreasing order. 511, 3, -1, -2, -5 Put 3, -3, -6, 9 in increasing order. -6, -3, 3, 9 Sort 14, -5, -7, -1. -7, -5, -1, 14 Put -4, -2, -120 in decreasing order. -2, -4, -120 Sort 4, 9, 20, 0 in descending order. 20, 9, 4, 0 Sort -1, 219, 5, 4, 2 in descending order. 219, 5, 4, 2, -1 Put -4, -3, 3, 0, -5 in descending order. 3, 0, -3, -4, -5 Sort 8, 7, 2 in increasing order. 2, 7, 8 Put -267, 1, 12 in ascending order. -267, 1, 12 Put 1, -5, -14, 4, 0 in descending order. 4, 1, 0, -5, -14 Put 4, 1, -11, -2 in decreasing order. 4, 1, -2, -11 Sort -0.3, -4, -1.3, -9. -9, -4, -1.3, -0.3 Put 10, -5/2, 0.3 in descending order. 10, 0.3, -5/2 Sort -15, 2/7, -10 in descending order. 2/7, -10, -15 Sort 7, 0.5, -422 in decreasing order. 7, 0.5, -422 Sort -2/7, -1.8, -51 in decreasing order. -2/7, -1.8, -51 Put 0, 16, 7 in ascending order. 0, 7, 16 Sort -3, 0.3, 4, -0.3 in increasing order. -3, -0.3, 0.3, 4 Put 8, -3, 0, 18 in decreasing order. 18, 8, 0, -3 Sort -4, -2, 0, -22 in descending order. 0, -2, -4, -22 Sort -7, 8, 5 in ascending order. -7, 5, 8 Sort -1/7, 13, -4, -1/72. -4, -1/7, -1/72, 13 Sort 27, 3, -157 in decreasing order. 27, 3, -157 Sort 2, -194, 5, 0, -5. -194, -5, 0, 2, 5 Sort 44, 18, -3 in descending order. 44, 18, -3 Sort -1, 82, 5, 2 in ascending order. -1, 2, 5, 82 Sort 10/3, -0.2, 7/3 in decreasing order. 10/3, 7/3, -0.2 Sort -26, 1/6, -0.3, -0.1 in descending order. 1/6, -0.1, -0.3, -26 Put -27, -4, 1 in decreasing order. 1, -4, -27 Sort 2, 1, -5, -111 in descending order. 2, 1, -5, -111 Put -5, 4, 13 in increasing order. -5, 4, 13 Sort -4, 95, 2, 5 in increasing order. -4, 2, 5, 95 Put 0.6, 2/9, 0.5, -3.3 in decreasing order. 0.6, 0.5, 2/9, -3.3 Sort -5, -4, 1, 4 in decreasing order. 4, 1, -4, -5 Sort -1/2, -5, 1/2479. -5, -1/2, 1/2479 Sort -3, 0, -2 in descending order. 0, -2, -3 Sort 0.1, -1/7, 244, 2/5, 2/11 in descending order. 244, 2/5, 2/11, 0.1, -1/7 Sort 2, 1, 8, 24 in decreasing order. 24, 8, 2, 1 Sort -3, -0.5, 0, -12, 1/11 in ascending order. -12, -3, -0.5, 0, 1/11 Sort 180, -3, 4, -2, 0. -3, -2, 0, 4, 180 Put 0, -1, -12, -2 in ascending order. -12, -2, -1, 0 Sort -137, -1, -5, 9. -137, -5, -1, 9 Sort 16, -4, -3, -9, -1 in increasing order. -9, -4, -3, -1, 16 Put 0.5, 0, -0.55 in decreasing order. 0.5, 0, -0.55 Put 3, 6, -11 in descending order. 6, 3, -11 Put 3, -0.1, -1/60 in increasing order. -0.1, -1/60, 3 Sort -1, -76, -25 in descending order. -1, -25, -76 Put 2/9, -1/10, -0.42 in descending order. 2/9, -1/10, -0.42 Put 3/4, -1/7, -4, -2 in decreasing order. 3/4, -1/7, -2, -4 Put -5, -1/4, 2/3, -2 in descending order. 2/3, -1/4, -2, -5 Sort 5, -3, 15 in ascending order. -3, 5, 15 Sort 6, 0.5, -4, -660 in increasing order. -660, -4, 0.5, 6 Sort -5, 3, -1, 5, 37 in increasing order. -5, -1, 3, 5, 37 Put 1, 42, -1 in descending order. 42, 1, -1 Put -0.3, -0.4, 0, -19, 3 in ascending order. -19, -0.4, -0.3, 0, 3 Sort -7, -1/8, -8, -1 in decreasing order. -1/8, -1, -7, -8 Put 1276, 3, -4, 5, 4 in descending order. 1276, 5, 4, 3, -4 Put -2/39, 2/3, -1.5 in descending order. 2/3, -2/39, -1.5 Put 2/15, 5/37, 3 in descending order. 3, 5/37, 2/15 Sort 27, 1, 2 in ascending order. 1, 2, 27 Put 0, 4, -1, 31 in decreasing order. 31, 4, 0, -1 Sort -43, -24, 1, 3, -0.1 in increasing order. -43, -24, -0.1, 1, 3 Put -2/9, 9, 0.13 in descending order. 9, 0.13, -2/9 Sort -7, 3, 0, 5, -5 in descending order. 5, 3, 0, -5, -7 Put -0.049, -4, 4 in decreasing order. 4, -0.049, -4 Sort 517, -1/3, 0.2, 4 in decreasing order. 517, 4, 0.2, -1/3 Sort -11, 99, -4. -11, -4, 99 Sort -2, 3, -4, -5 in decreasing order. 3, -2, -4, -5 Sort 1, 11, -5, -4, -72 in decreasing order. 11, 1, -4, -5, -72 Put -87, -80, 4 in decreasing order. 4, -80, -87 Sort 4, -4, 2, 20 in descending order. 20, 4, 2, -4 Sort -2/5, -2/31, 7 in ascending order. -2/5, -2/31, 7 Sort 8, -40, -3, -4. -40, -4, -3, 8 Sort 5, -2/87, -1 in ascending order. -1, -2/87, 5 Sort -5, 3, 49, 2 in descending order. 49, 3, 2, -5 Sort -1, 11/5, -18, 0.1, 1 in increasing order. -18, -1, 0.1, 1, 11/5 Put 13, -4, 0, -5, 11 in descending order. 13, 11, 0, -4, -5 Put -2, 363, -1, 0 in decreasing order. 363, 0, -1, -2 Sort -0.3, -2/3, -20 in ascending order. -20, -2/3, -0.3 Put 2, 193, -7 in decreasing order. 193, 2, -7 Sort -1, -5, -7/10, 1/6, 19/4. -5, -1, -7/10, 1/6, 19/4 Sort 46, -2, 1. -2, 1, 46 Put 1, 5, -3, 42 in descending order. 42, 5, 1, -3 Put 2, -12, 0, -5, 1 in descending order. 2, 1, 0, -5, -12 Sort -4, -2, 26 in ascending order. -4, -2, 26 Sort -0.1, 2/11, -7.9, 3/7, -6 in ascending order. -7.9, -6, -0.1, 2/11, 3/7 Sort -5, 382, -1, 3, 1 in descending order. 382, 3, 1, -1, -5 Sort -3, -1, 257, -0.1 in descending order. 257, -0.1, -1, -3 Put 10, 1/3, 37.3 in descending order. 37.3, 10, 1/3 Sort -263, -3, 0, 4 in descending order. 4, 0, -3, -263 Put -4, 4, -119, 2, 16
{ "pile_set_name": "DM Mathematics" }
0.022*-232.5. -5.115 Multiply -413 and 232. -95816 Multiply 39136 and -0.2. -7827.2 -20488 times 13 -266344 2*22759 45518 What is -0.01 times -27.62? 0.2762 19 * -0.15267 -2.90073 Work out 3 * -76045. -228135 -0.05*0.05031 -0.0025155 -160.962 times 4 -643.848 What is 831 times 345? 286695 5 * -0.943359 -4.716795 -0.04*26616 -1064.64 What is the product of -4.55294 and -1? 4.55294 Work out 966 * 40. 38640 0.4*9.2139 3.68556 Multiply 62 and 5369. 332878 0.445 times 153 68.085 What is 311561 times -0.1? -31156.1 Multiply -30 and 458.1. -13743 1679403*-2 -3358806 What is -1889 times 130? -245570 416.3 times -0.4 -166.52 -0.81 * -1.8875 1.528875 What is -110277 times 0.6? -66166.2 What is the product of 4.1962 and 0.039? 0.1636518 Multiply 45 and -5648. -254160 -9 * -25613 230517 Product of -126.9 and -22.6. 2867.94 What is 4 times -636.045? -2544.18 Product of -0.2 and -12316. 2463.2 What is the product of 20.75 and 205? 4253.75 What is 64833 times -1? -64833 16441 times 0.184 3025.144 Work out 4 * 922.655. 3690.62 -0.1779*-85 15.1215 Calculate -214*-0.053. 11.342 Work out 20133 * -0.4. -8053.2 What is -4136030 times 0.5? -2068015 Product of 0.3 and -9141. -2742.3 What is the product of 3607 and 0.6? 2164.2 Work out 14 * -192754. -2698556 What is -35 times -1409? 49315 6.79*-8.7 -59.073 What is the product of -1750 and 0.142? -248.5 241.3*-0.05 -12.065 Multiply 152771 and 0.3. 45831.3 What is the product of 11 and 418478? 4603258 Calculate 0.08*-0.2729. -0.021832 Multiply 4 and -3853. -15412 Multiply -16 and 3604. -57664 Calculate 2*20.418. 40.836 Multiply -0.027 and -6.78. 0.18306 Product of -16 and -76852. 1229632 What is the product of -4 and 402.967? -1611.868 What is the product of -52947.2 and 5? -264736 Multiply -1701.41 and -4. 6805.64 What is 953038 times 0.1? 95303.8 54*-149.7 -8083.8 Multiply -0.33 and 39.15. -12.9195 7 times -0.509 -3.563 Work out 217180 * -0.05. -10859 Calculate -53887*0.3. -16166.1 What is the product of 0.2 and -0.36? -0.072 -386 * 2.015 -777.79 What is 2.2 times 2.78? 6.116 Multiply -1 and 9170. -9170 Multiply 0.02 and -9656. -193.12 What is the product of 8192.2 and 0.07? 573.454 Calculate 0.078732*-0.04. -0.00314928 Calculate -0.02*43.78. -0.8756 4 * -74421 -297684 -0.834757*0 0 -4 * 0.01045 -0.0418 24 times -0.043 -1.032 Calculate 0.146024*-8. -1.168192 -0.15 times -3207 481.05 What is the product of 0.2 and 18.3? 3.66 What is -0.3 times -0.9641? 0.28923 Calculate -0.14*1.933. -0.27062 0.0623 * 19 1.1837 Product of 46602 and -5. -233010 172 times 1672.9 287738.8 Product of 0.4 and 17991. 7196.4 What is the product of -237 and -0.1? 23.7 Multiply -1.2 and -73453. 88143.6 Product of -6.7 and -3040. 20368 -0.2 * 18828 -3765.6 Multiply 3069 and 0.07. 214.83 -0.3 * 191744 -57523.2 -0.77917 * 0.3 -0.233751 Calculate -333092*-1. 333092 -0.003 times 1.51 -0.00453 35.3 * 0.036 1.2708 What is the product of 0.4 and 66720? 26688 -686 times 704.2 -483081.2 Calculate 31.3*-54.3. -1699.59 Calculate 0.112949*-0.09. -0.01016541 7494 times -0.2 -1498.8 What is 7.83702 times 5? 39.1851 Product of 0.5 and -86.85. -43.425 -362*21.8 -7891.6 0.02407*-708 -17.04156 -1064980*0.4 -425992 What is the product of -2.4 and -623? 1495.2 10.4341 times -5 -52.1705 Calculate 397*-178. -70666 -44.5*8226 -366057 Work out -0.5 * 100770. -50385 What is the product of 3.5671 and 4? 14.2684 Work out -0.3 * 127577. -38273.1 What is the product of 50477 and 9? 454293 14.0676 * 4 56.2704 6007*15 90105 Work out 1.42 * -8687. -12335.54 What is -1.2 times -5139? 6166.8 11475 times -11 -126225 Calculate 16*-1.45. -23.2 Multiply 0.275 and -1.5741. -0.4328775 Calculate -204991*-1. 204991 Work out -905461 * -7. 6338227 What is the product of -0.7 and 0.60441? -0.423087 What is 126965 times -1? -126965 39.7*0.24 9.528 Product of -0.011 and 6.4. -0.0704 What is 492 times 4.4? 2164.8 1044867*0.4 417946.8 What is 23.486 times -18? -422.748 Work out 51472 * -1. -51472 -53386 times 7 -373702 What is the product of 98027 and 0? 0 -659*-21.7 14300.3 -3.016 times 0.936 -2.822976 Multiply -5.004 and -0.2. 1.0008 What is 52875 times -7? -370125 Work out 49.672 * 0.042. 2.086224 What is the product of 3872 and -913? -3535136 Product of -3.56066 and 2. -7.12132 -1 * -5498 5498 Multiply 1176.9 and 0.3. 353.07 Work out 0.0477 * -191. -9.1107 3274 * -0.099 -324.126 0.4311*-0.249 -0.1073439 Work out 83721 * -36. -3013956 What is the product of 0.935 and -28.2? -26.367 What is 7 times -10781? -75467 Product of -0.2 and 664995. -132999 Multiply 17895 and -0.8. -14316 Multiply -2 and -327.97. 655.94 Multiply -0.1 and -675.87. 67.587 -760.1 times -8 6080.8 0.01 * 4417 44.17 40*-16.4 -656 Calculate -0.0373*-127. 4.7371 Work out 0.75 * 1.426. 1.0695 -21 * -635.5 13345.5 Product of 0.07 and 12833. 898.31 What is 1.5 times -36152.3? -54228.45 661.69*-2.5 -1654.225 Product of -2.7973 and 4. -11.1892 Work out 16242.9 * -13. -211157.7 What is -13 times 29317? -381121 What is the product of 347 and 783? 271701 Multiply 24 and -10730. -257520 Product of 1735.417 and 0.2. 347.0834 Work out 35755 * -8. -286040 What is -97904 times -6? 587424 Work out -0.4215 * 0.97. -0.408855 32 times 0.0469 1.5008 What is 131882 times -0.3? -39564.6 4 * 106161 424644 -0.09 times 10.5745 -0.951705 -4003.18 * 5 -20015.9 -1.3 * 136783 -177817.9 What is the product of 0.3 and -202215? -60664.5 Work out 17.4 * -143.77. -2501.598 -21226.6*0.3 -6367.98 Calculate -1*3936. -3936 Work out -0.5 * -3451. 1725.5 Work out -520 * 0.00801. -4.1652 Work out 2.1 * 0.24823. 0.521283 What is -0.6 times 11.082? -6.6492 93.09 * -1.6 -148.944 53462.6 times -0.3 -16038.78 3 times 16878 50634 -5*-45344 226720 Multiply -7813 and 0.4. -3125.2 Calculate 28254*0.4. 11301.6 293492 times -0.01 -2934.92 1 times 0.176 0.176 Calculate 5.7*371.6. 2118.12 Product of 26 and 348. 9048 What is 6.7 times 0.167? 1.1189 Calculate 0.1529*-15. -2.2935 Multiply 1.8 and -477. -858.6 Multiply -1298 and -1.83. 2375.34 Multiply 0.1 and 49418. 4941.8 6509327 * 4 26037308 Product of 0.137353 and 0.5. 0.0686765 -4625 times -0.05 231.25 -285734 times 0.1 -28573.4 Work out -640 * -11319. 7244160 Product of 4609 and -202. -931018 What is 0.89 times -0.1499? -0.133411 6705.5*0.1 670.55 Multiply 138.338 and -0.1. -13.8338 Product of 99607 and -0.7. -69724.9 What is -14193 times -0.03? 425.79 Multiply 26 and 1580. 41080 0 * 9037.2 0 Calculate 0.3316*59. 19.5644 -686314 times -5 3431570 Product of -0.1 and 0.9126. -0.09126 Calculate 0*0.0672773. 0 -0.1*6421 -642.1 Multiply 75 and 2959. 221925 Product of 35.2695 and -0.2. -7.0539 Multiply -2 and -64164. 128328 What is 251 times -621.8? -156071.8 Multiply 1.421 and 36. 51.156 Multiply 5 and 20128. 100640 Work out 259704 * 4. 1038816 -1138 * 191 -217358 What is the product of 0.5 and 1768.989? 884.4945 Work out 0.5 * -210234. -105117 What is the product of 1 and 18825? 18825 Product of -77.16 and -129. 9953.64 Calculate 9.421*35. 329.735 What is 16121 times -1.1? -17733.1 -235.66*-4 942.64 Calculate 7113*2. 14226 What is the product of -17 and 0.0849? -1.4433 What is the product of -795 and 0.03? -23.85 0 times 2.2886 0 Multiply 516 and 10.1. 5211.6 What is 19944.2 times -0.03? -598.326 Multiply 156521 and 0.3. 46956.3 0.3*30467 9140.1 Multiply 4 and 77395. 309580 0.102 times -0.985 -0.10047 Calculate 0.02*16768. 335.36 Multiply 2675 and 19. 50825 What is 42432 times 0.28? 11880.96 Calculate -0.75616*-0.2. 0.151232 1877079 times -2 -3754158 4830 * 0.12 579.6 Work out 0.3 * -257. -77.1 Multiply -1 and 99755. -99755 Work out -160 * 376. -60160 What is the product of -0.288942 and 5? -1.44471 -0.42099 times 0.3 -0.126297 -0.899*0.05 -0.04495 -45*6972 -313740 Calculate -0.5347701*0.4. -0.21390804 4*5767 23068 What is 75 times -0.413? -30.975 -29.54*0.43 -12.7022 2.245*0.209 0.469205 What is -0.5 times -0.13726? 0.06863 Work out -134 * 1124. -150616 Calculate -0.1493*-0.02. 0.002986 Work out 2.6314 * -2. -5.2628 What is the product of -0.455266 and 0.4? -0.1821064 What is the product of -34 and -0.2122? 7.2148 What is the product of 1.2 and -4.73? -5.676 0.1279*-0.033 -0.0042207 Product of 0.762 and -39. -29.718 139.5 * 10.5 1464.75 Multiply 17479.7 and -2. -34959.4 Product of -13 and -170573. 2217449 What is -9 times
{ "pile_set_name": "DM Mathematics" }
a factor of 44505342? True Is 182046728 a multiple of 54? False Does 20 divide 67569469? False Is 398 a factor of 2555673484? False Does 818 divide 122335585? False Is 27 a factor of 137532513? False Does 18 divide 164754648? True Does 67 divide 30257682? False Does 402 divide 161903892? True Is 439037160 a multiple of 40? True Does 7 divide 44853585? True Does 20 divide 13830868? False Is 11 a factor of 47152093? False Is 3 a factor of 119382? True Does 19 divide 4432826? False Is 760033368 a multiple of 1314? True Is 22345536 a multiple of 147? False Is 10 a factor of 1087940? True Does 2103 divide 308939112? True Does 785 divide 3013959558? False Is 1392 a factor of 130232736? True Does 26 divide 278044? True Does 1757 divide 1991165932? True Does 65 divide 2134432537? False Is 47000140 a multiple of 110? True Is 6837933 a multiple of 3? True Is 15871492 a multiple of 14? True Is 1890994 a multiple of 133? True Is 225833895 a multiple of 63? True Is 1783534217 a multiple of 53? True Is 5 a factor of 40117235? True Is 15 a factor of 68676574? False Is 297680443 a multiple of 59? False Is 17 a factor of 53575417? False Is 2084880 a multiple of 39? False Does 11 divide 846176672? True Is 3294665 a multiple of 37? True Is 15989097 a multiple of 503? False Does 7544 divide 1916587558? False Does 513 divide 29427219? True Is 1059 a factor of 119274111? True Is 792 a factor of 153406636? False Does 4130 divide 61539481? False Does 284 divide 24262317? False Does 2664 divide 519836905? False Is 4 a factor of 1523361? False Does 18 divide 72748866? False Is 73241875 a multiple of 83? False Does 13 divide 614292094? True Is 47173056 a multiple of 232? False Is 72955042 a multiple of 230? False Does 21 divide 33844944? True Is 33604325 a multiple of 17? True Does 16 divide 439681? False Is 5941246 a multiple of 302? True Is 158444748 a multiple of 6? True Is 496 a factor of 62805504? True Is 255731749 a multiple of 633? False Is 76592097 a multiple of 40? False Is 14 a factor of 1344428596? True Does 5 divide 85667537? False Is 13470452 a multiple of 382? False Is 44 a factor of 802748408? True Is 23 a factor of 349014696? True Does 1772 divide 1579720280? True Does 86 divide 176119142? True Does 21 divide 579849240? False Is 19986831 a multiple of 898? False Is 14653388 a multiple of 1907? True Is 141 a factor of 1306326614? False Is 44308218 a multiple of 1636? False Does 220 divide 860706880? True Is 4747420 a multiple of 28? False Is 290642670 a multiple of 9? True Does 2 divide 56398421? False Does 382 divide 75466847? False Does 60 divide 109805760? True Is 426731144 a multiple of 644? True Does 244 divide 1969158290? False Is 255 a factor of 1317616875? True Is 48 a factor of 7232333? False Does 7 divide 333832576? True Is 26 a factor of 214618882? False Does 115 divide 29073205? False Is 1481803585 a multiple of 1094? False Is 217873794 a multiple of 20? False Is 1098807566 a multiple of 23? True Is 2878720 a multiple of 32? True Is 17647598 a multiple of 1649? True Does 87 divide 229103568? False Does 3676 divide 2264166825? False Is 39 a factor of 2868783645? True Is 90 a factor of 260770337? False Is 106 a factor of 142465908? True Does 1321 divide 11051486? True Does 1168 divide 71861888? False Is 169 a factor of 1954011160? False Is 16 a factor of 21290601? False Is 39083648 a multiple of 116? True Is 152 a factor of 23201410? False Is 20 a factor of 751946320? True Is 77 a factor of 1639322052? False Is 4 a factor of 7716776? True Is 69822363 a multiple of 2213? True Is 30 a factor of 63583195? False Is 30104567 even? False Does 2 divide 2834006? True Does 6 divide 122742189? False Is 79 a factor of 46939598? False Does 79 divide 158296356? False Is 6294 a factor of 1674191412? True Is 5822114 a multiple of 50? False Does 779 divide 172175359? True Does 177 divide 10750272? True Is 931996578 a multiple of 7? False Does 896 divide 24936576? True Does 135 divide 13784580? True Is 52 a factor of 39219706? False Is 150 a factor of 50946150? True Is 878839434 a multiple of 18? True Is 794027382 a multiple of 137? False Does 48 divide 35838983? False Does 39 divide 54735321? False Is 1131 a factor of 103079340? True Does 176 divide 47936787? False Is 9286880 a multiple of 37? False Is 1754142804 a multiple of 172? False Is 798 a factor of 102543798? True Is 27 a factor of 48465246? False Is 185 a factor of 51064625? True Is 60982767 a multiple of 11? False Does 139 divide 33900015? True Is 3215 a factor of 3967435385? True Is 419 a factor of 33691399? False Is 1071 a factor of 33818823? False Does 5 divide 88481295? True Is 36605235 a multiple of 255? False Is 152 a factor of 106138470? False Is 67238138 a multiple of 2391? False Is 292 a factor of 2569536? False Is 950843439 a multiple of 403? True Is 92378791 a multiple of 43? False Does 919 divide 1437614893? False Is 186 a factor of 9440058? True Is 25501360 a multiple of 136? True Does 16 divide 214878400? True Is 3 a factor of 8641839? True Is 4980 a factor of 490953209? False Does 350 divide 9428882? False Is 17 a factor of 211158241? True Is 304 a factor of 76091200? True Is 11300165 a multiple of 3? False Does 11 divide 1189543960? True Is 134310766 a multiple of 166? True Is 2217650526 a multiple of 294? True Is 57140988 a multiple of 3? True Does 55 divide 2414275820? True Is 64 a factor of 11979328? True Is 1427671621 a multiple of 71? True Is 70478005 a multiple of 35? False Is 651 a factor of 8923364? False Is 8551996094 a multiple of 672? False Is 661974 a multiple of 23? False Is 1150 a factor of 9226450? True Does 14 divide 1650111844? False Is 4 a factor of 292255272? True Is 160 a factor of 28814385? False Does 231 divide 31271394? True Is 171 a factor of 190262682? False Is 948326115 a multiple of 5209? False Is 288211704 a multiple of 985? False Is 13 a factor of 254667985? True Is 142 a factor of 1325498? False Is 46 a factor of 2569518? False Is 3774 a factor of 213763134? True Is 59307571 a multiple of 1187? False Is 50934611 a multiple of 1691? True Does 14 divide 2595254? False Is 975655954 a multiple of 2401? True Is 534 a factor of 36699666? False Is 889 a factor of 1229767272? False Is 3851784595 a multiple of 10? False Is 93 a factor of 52513194? True Does 14 divide 38436748? True Is 1161714984 a multiple of 85? False Is 4797082 a multiple of 82? True Is 2449 a factor of 1664764077? True Is 23365235 a multiple of 253? False Is 407515185 a multiple of 1791? True Does 847 divide 3463098408? True Is 12 a factor of 1463963184? True Does 1159 divide 25897399? False Does 93 divide 19454019? True Does 38 divide 111274184? True Is 59918007 a multiple of 2657? True Is 18 a factor of 362940115? False Does 21 divide 1697392? False Is 19 a factor of 2615915584? False Is 6095064332 a multiple of 49? True Is 719315536 a multiple of 3957? False Does 685 divide 215494589? False Is 148 a factor of 9974990? False Does 53 divide 2363393? False Does 415 divide 5318585? False Is 988 a factor of 19046273? False Is 171577176 a multiple of 232? False Is 120 a factor of 82783920? True Is 10638870 a multiple of 2? True Is 1302998410 a multiple of 70? True Is 525457394 a multiple of 22? True Is 119125891 a multiple of 248? False Does 130 divide 111032495? False Is 16 a factor of 7016192? True Is 50 a factor of 158425600? True Does 5 divide 1338671535? True Is 11410 a factor of 4756635030? True Is 4828840 a multiple of 20? True Is 120462848 a multiple of 1168? True Is 1307744722 a multiple of 218? True Does 2263 divide 1391230835? False Is 135126814 a multiple of 1982? True Is 114 a factor of 7881989? False Is 954708183 a multiple of 39? True Does 86 divide 908413194? False Is 3577335552 a multiple of 16? True Is 51 a factor of 7402956? True Is 47 a factor of 778132? True Is 17577755 a multiple of 331? True Does 1208 divide 25724422? False Does 516 divide 94667424? True Does 202 divide 1134442504? True Is 110 a factor of 1259842798? False Is 161230923 a multiple of 1421? True Is 578 a factor of 20594556? False Does 69 divide 15359761? False Is 191 a factor of 27744278? True Does 1639 divide 4573920? False Is 37 a factor of 29607067? True Is 571430175 a multiple of 15? True Does 670 div
{ "pile_set_name": "DM Mathematics" }
5, -1207397, -2146467, -3353829, -4829477, -6573405, -8585607? f**3 - 134158*f**2 - f + 1 What is the t'th term of 3375, 9586, 15795, 22002, 28207, 34410, 40611? -t**2 + 6214*t - 2838 What is the z'th term of -13264, -13592, -14122, -14854, -15788, -16924, -18262? -101*z**2 - 25*z - 13138 What is the m'th term of 6115, 12212, 18269, 24268, 30191, 36020, 41737? -3*m**3 - 2*m**2 + 6124*m - 4 What is the o'th term of -1487, -1091, 29, 2233, 5881, 11333? 60*o**3 + 2*o**2 - 30*o - 1519 What is the o'th term of -6534, -12889, -19056, -25023, -30778, -36309? 2*o**3 + 82*o**2 - 6615*o - 3 What is the q'th term of 21388, 21437, 21528, 21655, 21812, 21993, 22192? -q**3 + 27*q**2 - 25*q + 21387 What is the j'th term of 161557, 161630, 161703, 161776, 161849, 161922? 73*j + 161484 What is the k'th term of 614, 1394, 2694, 4514, 6854? 260*k**2 + 354 What is the v'th term of 465133, 929536, 1393939? 464403*v + 730 What is the d'th term of 49251, 49152, 48987, 48756? -33*d**2 + 49284 What is the q'th term of 9899, 98716, 345357, 828734, 1627759? 13152*q**3 - 3247*q - 6 What is the a'th term of 120449, 240908, 361381, 481868, 602369, 722884, 843413? 7*a**2 + 120438*a + 4 What is the c'th term of 5527, 33930, 81267, 147538, 232743? 9467*c**2 + 2*c - 3942 What is the o'th term of -72, -297, -640, -1071, -1560, -2077? 5*o**3 - 89*o**2 + 7*o + 5 What is the s'th term of 315815, 315803, 315791? -12*s + 315827 What is the d'th term of 3986, 3526, 2752, 1658, 238, -1514? -d**3 - 151*d**2 + 4138 What is the h'th term of 247556, 990169, 2227842, 3960575? 247530*h**2 + 23*h + 3 What is the d'th term of 496439, 496051, 495405, 494501, 493339? -129*d**2 - d + 496569 What is the i'th term of 597, 2295, 5175, 9279, 14649? 7*i**3 + 549*i**2 + 2*i + 39 What is the w'th term of 4984, 5841, 6700, 7561? w**2 + 854*w + 4129 What is the a'th term of -168654, -337338, -506022, -674706? -168684*a + 30 What is the w'th term of 2708, 2090, 1474, 860, 248? w**2 - 621*w + 3328 What is the u'th term of -9773761, -9773770, -9773793, -9773836, -9773905? -u**3 - u**2 + u - 9773760 What is the s'th term of 1223, 3035, 5439, 8435, 12023, 16203, 20975? 296*s**2 + 924*s + 3 What is the z'th term of 297, 560, 797, 1002, 1169? -z**3 - 7*z**2 + 291*z + 14 What is the f'th term of -3234685, -3234302, -3233917, -3233530? f**2 + 380*f - 3235066 What is the g'th term of -2067, -2080, -2089, -2088, -2071, -2032, -1965? g**3 - 4*g**2 - 8*g - 2056 What is the g'th term of 313355, 313364, 313365, 313358? -4*g**2 + 21*g + 313338 What is the g'th term of 2550, 12934, 30240, 54468? 3461*g**2 + g - 912 What is the j'th term of 9630376, 19260768, 28891160, 38521552, 48151944? 9630392*j - 16 What is the c'th term of 3453, 12628, 27519, 48126, 74449, 106488? 2858*c**2 + 601*c - 6 What is the z'th term of -485796, -971593, -1457390, -1943187, -2428984, -2914781? -485797*z + 1 What is the s'th term of 93595, 187178, 280749, 374308, 467855, 561390? -6*s**2 + 93601*s What is the p'th term of 680, 2947, 6528, 11261, 16984? -27*p**3 + 819*p**2 - p - 111 What is the a'th term of -18562, -18582, -18602, -18622, -18642? -20*a - 18542 What is the p'th term of 9053, 71960, 242571, 574736, 1122305, 1939128? 8975*p**3 + 2*p**2 + 76*p What is the k'th term of -48, -627, -1772, -3471, -5712, -8483, -11772, -15567? 2*k**3 - 295*k**2 + 292*k - 47 What is the j'th term of -180086913, -180086915, -180086917? -2*j - 180086911 What is the w'th term of -809, -3423, -7729, -13727, -21417, -30799? -846*w**2 - 76*w + 113 What is the x'th term of 8568, 8633, 8692, 8745, 8792? -3*x**2 + 74*x + 8497 What is the z'th term of 894096, 893199, 892302, 891405, 890508? -897*z + 894993 What is the j'th term of -251190665, -251190663, -251190661? 2*j - 251190667 What is the j'th term of -678, -1067, -1742, -2697, -3926? j**3 - 149*j**2 + 51*j - 581 What is the s'th term of 1962162, 7848679, 17659542, 31394751, 49054306, 70638207, 96146454? 1962173*s**2 - 2*s - 9 What is the f'th term of 423366094, 423366097, 423366100? 3*f + 423366091 What is the u'th term of 5525, 11071, 16605, 22121, 27613, 33075, 38501? -u**3 + 5553*u - 27 What is the w'th term of 94305, 101542, 108779, 116016, 123253? 7237*w + 87068 What is the x'th term of 5857621, 5857640, 5857669, 5857714, 5857781, 5857876, 5858005? x**3 - x**2 + 15*x + 5857606 What is the x'th term of 2026, 3981, 5842, 7579, 9162, 10561, 11746? -5*x**3 - 17*x**2 + 2041*x + 7 What is the n'th term of -7610652, -7610649, -7610646, -7610643? 3*n - 7610655 What is the y'th term of -1775, -2209, -3353, -5561, -9187, -14585? -59*y**3 - y**2 - 18*y - 1697 What is the z'th term of 50, 288, 564, 878, 1230, 1620? 19*z**2 + 181*z - 150 What is the z'th term of 1674, 6726, 15946, 29988, 49506? 109*z**3 + 1430*z**2 - z + 136 What is the n'th term of 16488, 16336, 16180, 16020, 15856? -2*n**2 - 146*n + 16636 What is the l'th term of -3285, -4650, -6013, -7374, -8733, -10090? l**2 - 1368*l - 1918 What is the w'th term of 2474807, 2474810, 2474813, 2474816, 2474819? 3*w + 2474804 What is the l'th term of -4141352, -8282698, -12424044? -4141346*l - 6 What is the z'th term of -819345, -819270, -819197, -819126, -819057? -z**2 + 78*z - 819422 What is the u'th term of -2803804, -5607630, -8411456, -11215282, -14019108, -16822934? -2803826*u + 22 What is the u'th term of -311010, -311017, -311036, -311067, -311110, -311165? -6*u**2 + 11*u - 311015 What is the t'th term of 207, 548, 1021, 1626? 66*t**2 + 143*t - 2 What is the o'th term of -4642, -18244, -40296, -70288, -107710? 85*o**3 - 4735*o**2 + 8*o What is the h'th term of -169745, -169865, -169985, -170105, -170225? -120*h - 169625 What is the t'th term of -622334, -622398, -622462, -622526, -622590? -64*t - 622270 What is the f'th term of -192102, -384282, -576462, -768642, -960822, -1153002? -192180*f + 78 What is the r'th term of -967382, -3869562, -8706546, -15478334? -967402*r**2 + 26*r - 6 What is the a'th term of 108, -173, -554, -963, -1328, -1577, -1638? 12*a**3 - 122*a**2 + a + 217 What is the x'th term of 1328264, 2656437, 3984612, 5312789? x**2 + 1328170*x + 93 What is the q'th term of -1641, -1094, 395, 3300, 8095, 15254, 25251, 38560? 79*q**3 - 3*q**2 + 3*q - 1720 What is the f'th term of -743, 1138, 4273, 8662, 14305? 627*f**2 - 1370 What is the l'th term of 5614, 9298, 13032, 16822, 20674, 24594, 28588, 32662? l**3 + 19*l**2 + 3620*l + 1974 What is the f'th term of 6794, 6675, 6426, 6041, 5514, 4839? -f**3 - 59*f**2 + 65*f + 6789 What is the g'th term of -47732, -190834, -429332, -763226, -1192516, -1717202, -2337284? -47698*g**2 - 8*g - 26 What is the p'th term of -8077, -16194, -24329, -32482, -40653, -48842, -57049? -9*p**2 - 8090*p + 22 What is the f'th term of 5149, 4689, 4279, 3919, 3609? 25*f**2 - 535*f + 5659 What is the m'th term of -5858089, -5858091, -5858093? -2*m - 5858087 What is the k'th term of -12298688, -12298691, -12298694, -12298697, -12298700? -3*k - 12298685 What is the h'th term of 40718, 40662, 40606, 40550, 40494? -56*h + 40774 What is the l'th term of 7899, 14844, 21789? 6945*l + 954 What is the r'th term of -520763, -520894, -521021, -521144, -521263, -521378? 2*r**2 - 137*r - 520628 What is the g'th term of 14046, 22729, 31412, 40095? 8683*g + 5363 What is the s'th term of -5782, -9471, -13160? -3689*s - 2093 What is the k'th term of -193556, -774205, -1741954, -3096803, -4838752, -6967801? -193550*k**2 + k - 7 What is the x'th term of 14918, 12362, 9808, 7256, 4706, 2158, -388? x**2 - 2559*x + 17476 What is the j'th term of 3326412, 6652822, 9979224, 13305618, 16632004, 19958382, 23284752? -4*j**2 + 3326422*j - 6 What is the i'th term of -1924, -6445, -13980, -24529, -38092? -1507*i**2 - 417 What is the v'th term of -5531601, -11063078, -16594553, -22126026, -27657497? v**2 - 5531480*v - 122 What is the l'th term of -21418, -42669, -63756, -84679, -105438, -126033, -146464? 82*l**2 - 21497*l - 3 What is the y'th term of 1377149, 2754220, 4131291, 5508362, 6885433, 8262504? 1377071*y + 78 What is the c'th term of 364, 1099, 2474, 4753, 8200, 13079, 19654, 28189? 44*c**3 + 56*c**2 + 259*c + 5 What is the l'th term of 7172, 7168, 7216, 7316, 7468? 26*l**2 - 82*l + 7228 What is the u'th term of 421, -437, -2555, -5939, -10595
{ "pile_set_name": "DM Mathematics" }
of a milligram? 240 How many months are there in thirty-one halves of a century? 18600 How many minutes are there in 19.677702 nanoseconds? 0.0000000003279617 How many meters are there in 3/50 of a kilometer? 60 Convert 29.85682ml to litres. 0.02985682 What is 3/8 of a tonne in kilograms? 375 How many millilitres are there in 9.587112 litres? 9587.112 How many kilograms are there in six fifths of a tonne? 1200 What is seven halves of a decade in months? 420 How many micrograms are there in 27/5 of a milligram? 5400 What is 28/9 of a week in minutes? 31360 How many minutes are there in 16/15 of a week? 10752 How many centimeters are there in three tenths of a kilometer? 30000 What is 5175.363nm in meters? 0.000005175363 What is one fifth of a millennium in years? 200 Convert 863066.8 decades to centuries. 86306.68 What is 9/10 of a kilogram in grams? 900 How many months are there in 11/4 of a year? 33 How many weeks are there in 942.57324 seconds? 0.0015584875 What is one sixteenth of a week in seconds? 37800 What is eight thirds of a year in months? 32 What is 1/10 of a gram in milligrams? 100 How many seconds are there in 5882.362 weeks? 3557652537.6 Convert 125042.1 minutes to hours. 2084.035 How many years are there in 6/25 of a millennium? 240 Convert 1655.6892 months to millennia. 0.1379741 How many years are there in 329.903 decades? 3299.03 Convert 825165.8ug to milligrams. 825.1658 What is 16.83711 meters in nanometers? 16837110000 What is twenty-nine fifths of a litre in millilitres? 5800 What is three eighths of a gram in milligrams? 375 How many millilitres are there in 0.0840233 litres? 84.0233 What is seven quarters of a litre in millilitres? 1750 Convert 0.9886635nm to micrometers. 0.0009886635 How many nanoseconds are there in 0.5240679 hours? 1886644440000 How many millilitres are there in 513.6235 litres? 513623.5 What is 7/2 of a century in months? 4200 What is fifteen quarters of a litre in millilitres? 3750 Convert 0.8853355 decades to millennia. 0.008853355 What is sixty-two thirds of a decade in months? 2480 How many centuries are there in 13/5 of a millennium? 26 How many decades are there in six fifths of a century? 12 How many millilitres are there in 3/25 of a litre? 120 What is three fifths of a milligram in micrograms? 600 How many centimeters are there in 76127.16mm? 7612.716 What is one sixteenth of a century in months? 75 Convert 5.803813 kilograms to nanograms. 5803813000000 How many seconds are there in 1/96 of a day? 900 How many months are there in 49.00329 centuries? 58803.948 What is 1642.584069ms in weeks? 0.0000027159128125 What is 29.95545nm in centimeters? 0.000002995545 How many micrograms are there in 3/8 of a milligram? 375 What is 3/40 of a millisecond in nanoseconds? 75000 Convert 556400.3nm to centimeters. 0.05564003 What is 5/8 of a kilometer in meters? 625 What is seven halves of a litre in millilitres? 3500 What is 911940.3l in millilitres? 911940300 Convert 5470.653 kilometers to centimeters. 547065300 How many micrograms are there in 11163.84 nanograms? 11.16384 Convert 9895.82ml to litres. 9.89582 How many millilitres are there in 939.3892 litres? 939389.2 What is 7177.147 days in milliseconds? 620105500800 What is one twentieth of a litre in millilitres? 50 How many centuries are there in 1.7775906 months? 0.0014813255 How many months are there in 23/3 of a century? 9200 How many litres are there in 394985.2 millilitres? 394.9852 How many litres are there in 4388.607ml? 4.388607 What is 231.3366 millilitres in litres? 0.2313366 Convert 25.28061 centimeters to meters. 0.2528061 Convert 80124.75 milliseconds to hours. 0.022256875 How many litres are there in 749.2305ml? 0.7492305 What is 8/7 of a week in hours? 192 How many nanometers are there in three eighths of a micrometer? 375 Convert 112857.42 months to decades. 940.4785 How many months are there in 45/4 of a year? 135 How many millennia are there in 693.2562 centuries? 69.32562 What is 5.30701 decades in centuries? 0.530701 What is fifty-one fifths of a gram in milligrams? 10200 How many millilitres are there in twenty-one eighths of a litre? 2625 What is 29/5 of a minute in seconds? 348 How many milligrams are there in 283961.7 kilograms? 283961700000 Convert 3692.311km to centimeters. 369231100 Convert 208025.31 months to decades. 1733.54425 How many litres are there in 87.17909 millilitres? 0.08717909 How many minutes are there in one eighteenth of a week? 560 What is twenty-six fifths of a kilogram in grams? 5200 What is sixty-four fifths of a millennium in years? 12800 What is 52/5 of a kilogram in grams? 10400 How many minutes are there in 3/8 of a day? 540 What is 51.64298 micrograms in nanograms? 51642.98 What is three eighths of a gram in milligrams? 375 What is 0.984994 nanoseconds in microseconds? 0.000984994 What is 19/4 of a litre in millilitres? 4750 What is 1/5 of a millennium in months? 2400 What is 1/20 of a meter in centimeters? 5 How many micrograms are there in one sixteenth of a gram? 62500 What is 5/8 of a kilogram in grams? 625 What is seven quarters of a decade in months? 210 What is one tenth of a kilogram in grams? 100 What is 704025.63ns in hours? 0.000000195562675 Convert 56.7836955 minutes to weeks. 0.005633303125 How many months are there in one fifteenth of a decade? 8 What is 42847.14um in nanometers? 42847140 What is three tenths of a gram in milligrams? 300 What is 0.3920361 millilitres in litres? 0.0003920361 How many microseconds are there in fourty-five halves of a millisecond? 22500 How many micrometers are there in 3/50 of a meter? 60000 How many meters are there in fifty-seven fifths of a kilometer? 11400 How many seconds are there in sixty-five thirds of a minute? 1300 What is five eighths of a litre in millilitres? 625 How many minutes are there in 10/9 of a week? 11200 What is 51.9692ug in kilograms? 0.0000000519692 Convert 1.279429 years to centuries. 0.01279429 What is twenty-nine fifths of a hour in seconds? 20880 How many minutes are there in 1/15 of a week? 672 How many nanometers are there in 852.2469 centimeters? 8522469000 What is 2/125 of a litre in millilitres? 16 What is 1/15 of a decade in months? 8 What is five eighths of a milligram in micrograms? 625 How many kilograms are there in 9/10 of a tonne? 900 What is 25/2 of a century in months? 15000 Convert 0.127861 minutes to microseconds. 7671660 Convert 101690.4 minutes to microseconds. 6101424000000 How many months are there in 0.035415 millennia? 424.98 What is 5/4 of a microsecond in nanoseconds? 1250 What is eleven quarters of a microgram in nanograms? 2750 Convert 6.528049cm to millimeters. 65.28049 How many seconds are there in 2/45 of a hour? 160 How many years are there in 60.72054 months? 5.060045 What is 762.2674 years in centuries? 7.622674 What is 61/4 of a millisecond in microseconds? 15250 What is twenty-seven halves of a litre in millilitres? 13500 What is 0.1851347 centimeters in nanometers? 1851347 How many litres are there in 9247.401ml? 9.247401 How many centimeters are there in 3.534814um? 0.0003534814 How many millilitres are there in 530.559 litres? 530559 How many centuries are there in 111.12195 months? 0.092601625 What is 3/40 of a kilometer in meters? 75 How many centimeters are there in 5/4 of a meter? 125 Convert 4690.04km to meters. 4690040 Convert 759596.9 millimeters to centimeters. 75959.69 How many months are there in 5/4 of a year? 15 How many millilitres are there in 13/8 of a litre? 1625 What is 4/3 of a hour in minutes? 80 How many millilitres are there in 0.361606 litres? 361.606 Convert 0.2000265 nanoseconds to seconds. 0.0000000002000265 How many millilitres are there in 53.64998l? 53649.98 Convert 9522.966 nanometers to millimeters. 0.009522966 What is 6.627291 micrograms in tonnes? 0.000000000006627291 What is 3/8 of a tonne in kilograms? 375 How many micrograms are there in 0.2425802t? 242580200000 Convert 75.25833 centuries to decades. 752.5833 How many micrograms are there in 524329.9 tonnes? 524329900000000000 How many millilitres are there in three eighths of a litre? 375 Convert 0.129339 centuries to decades. 1.29339 Convert 3259.403g to milligrams. 3259403 What is 12/25 of a m
{ "pile_set_name": "DM Mathematics" }
94. Let d = -1 - u. Which is the closest to 0.1? (a) s (b) d (c) -1 c Suppose 2*x = -2*z + 6, 3*x = -2*x + 5. Suppose 0*v - 2*j = v - 2, j = -z*v - 2. Which is the closest to -1/7? (a) 4 (b) v (c) -0.1 c Let y be (64/1120)/(3/15). Which is the nearest to 0? (a) y (b) -4 (c) 5 (d) -1/6 d Let t = -2.65 + -0.35. Which is the closest to 0? (a) -0.3 (b) 8 (c) t a Let o be 7/(-14) + 1 + 2/(-4). Which is the closest to o? (a) -5 (b) -3 (c) -60 (d) -0.5 d Let p = -0.2567 - 0.0433. Which is the closest to -2? (a) p (b) 1/3 (c) 2 a Let x = -0.608 + 7.608. What is the closest to -0.3 in 0, x, -2, -4/7? -4/7 Let z be 26/6 - (-106)/159. Which is the nearest to -1? (a) -1/7 (b) -0.7 (c) z (d) 2 b Let i = 15.4 - 24.4. Which is the closest to 0.1? (a) i (b) 1/6 (c) 4 (d) -3 b Let i(c) = -c**3 + c**2 + 2*c + 1. Let n be i(2). Let d be (-13)/(-34) + (-18)/36. What is the nearest to n in -7, d, -0.4? d Let y = -172.4 + 174.4. What is the closest to y in -4, -0.5, 5? -0.5 Let r = 0.9 - 1. Suppose 2*p - 22 = 5*l, -2*l - 24 = -0*p + 3*p. Let o be (-2)/(-4)*8/l. Which is the closest to r? (a) 3 (b) o (c) 2 b Let y be 1256/(-2983)*2/8*-1. Which is the closest to 0.3? (a) y (b) -11 (c) -4 (d) 0.3 d Let i be 13/(-52) + (-2)/(-16). Which is the closest to -5? (a) 2/5 (b) -0.02 (c) 5 (d) i d Let k = -66.2 - -66. Which is the closest to 1? (a) -0.08 (b) k (c) -1 a Let s be 134/(-1340) + 17*3/10. What is the closest to 1 in 2, s, -6/11? 2 Let g = -177 + 180. What is the nearest to -2 in -2, g, -37? -2 Let f be ((-50)/15)/((-4)/6). Let y = 1430 - 1434. Which is the nearest to -0.2? (a) 0.3 (b) f (c) y a Let m(l) = -l**3 - l**2 + 4. Let p be m(-2). Suppose 0 = 5*d + p - 3. What is the closest to d in 0, -4, 3? 0 Let r = -0.1 - 0. Let y = -0.1 - r. Let o(t) = -15*t - 1138. Let l be o(-76). What is the nearest to y in 0.3, l, -6/11? 0.3 Let k = -164/385 - -2/77. Let m = -637 + 632. What is the closest to k in -0.1, 3, m? -0.1 Let x = 4.46 - 4.86. What is the closest to -1/8 in 3/8, x, -1/2, -0.2? -0.2 Let d = -3.862 + 3.862. Let m = -0.9 + 1. Which is the nearest to m? (a) d (b) 7/4 (c) 1/4 a Let j = 2835 - 2830. Let u = 0.1 - 0.39. What is the nearest to -1 in -3, u, j? u Let t be 19 - 3519/184 - 21/(-8). Let c = 9 - 12.2. Let v = 3 + c. What is the nearest to -1 in v, t, 4? v Let u = -13/35 - -3/385. Let a = u + 1/33. Let n be (-2)/(-8) + (-11)/(-4). What is the closest to 0 in a, n, -2? a Let k = -329.6 - -305. Let t = k - -25. Which is the closest to 0.05? (a) 0 (b) t (c) 3 a Let y = -2.9 - -1.9. What is the nearest to y in -1/5, -1/6, 2? -1/5 Let f = 78 + -78. Let w = 2.3 - -8.7. Let y = 7 - w. Which is the nearest to 0.1? (a) 0.1 (b) y (c) f a Let k = 1.1 - 1. Let q be -1 + -1 - (-1 - (2 - 6)). Let p(g) = -g**2 - 3*g + 6. Let c be p(q). What is the closest to 1 in c, -2, k? k Let k = 1.7 - 2. Suppose -2*g + 1 = -5. Let w be ((-7)/21)/(1/g). Which is the nearest to w? (a) -0.5 (b) 2 (c) k a Let w = -349 - -4539/13. Let p(c) = -c**2 - 14*c - 27. Let n be p(-12). Let m be (6/24)/(n/(-4)). What is the nearest to m in 0, w, 0.5? 0.5 Let y = 6657.3 + -6939. Let x = y - -282. Let m = 0.1 - -0.1. Which is the closest to m? (a) -1/6 (b) -4 (c) x c Let h = -34.8 - -34.43. Which is the nearest to h? (a) -1/9 (b) 5 (c) 3/2 a Let m = -48 + 47.87. Let u = m + 0.03. What is the nearest to 2 in 0.2, -1/7, u? 0.2 Suppose -3*h + 2 = 4*s - 1, 0 = h + 5*s - 1. Let d = 938 + -937.7. Which is the nearest to 0.1? (a) h (b) -2 (c) d c Let a = 0.269 + -0.169. What is the closest to a in 5, -2, -10? -2 Let u = 2143 + -2146. Which is the nearest to u? (a) 5 (b) -0.2 (c) 3 (d) 6 b Let i = -2879 + 2880. Let m = 0.03 + -4.03. Let s be ((-10)/4 - 0)*-2. What is the closest to i in -4/3, s, m? -4/3 Let j = -2002 - -2001.95. Which is the nearest to j? (a) 3/5 (b) -0.1 (c) 0.3 b Let j = 0.01 - -1.99. Let k = -0.6 + 4.6. Which is the closest to 0? (a) k (b) -0.3 (c) j b Let i = -559 - -554. Let z be (-4)/6 + 4/(-30). What is the closest to 2 in i, -1, z? z Let m = 0.419 - -0.081. What is the closest to -10/7 in -0.3, m, 2/11? -0.3 Suppose -4*g - 3 = -19. Suppose -3*h = -g*h + 3. Suppose -3*v = -5*w - 20, -h*v - 4*w - 9 = 7. What is the nearest to -1 in -0.4, -0.3, v? -0.4 Let t be (-20)/(-5)*(-5 - 87/(-18)). Let b = -65/228 - -2/57. What is the closest to b in -0.1, -6, t? -0.1 Let q = -129 + 85. Let s be 0 + -1 + (q/(-10) - 3). Which is the nearest to -0.2? (a) 0.1 (b) s (c) -0.3 c Let o = -3 + 7. Suppose -10*l - 5*t - 24 = -6*l, t = -5*l - 9. Let n = 96/5 - 662/35. Which is the nearest to l? (a) 0 (b) o (c) n a Let j = -2.09 - 26.11. Let g = j - -28. What is the nearest to -3 in -2/9, g, -2? -2 Let y(m) = 2*m**2 - 3*m - 2. Let j be y(3). Suppose 0*i = -7*i + j. Which is the nearest to i? (a) -1/6 (b) 2 (c) -1/4 b Let n = -0.078 + -0.122. Let w = -7 - -6.8. Which is the nearest to n? (a) -12 (b) w (c) 4 b Let j be (2/5)/((-2)/(-20)). Let f = 158.6 + -157.6. What is the nearest to -1/3 in f, -5, j? f Let g = -2.9367 - 0.0633. Which is the nearest to -2.9? (a) 1 (b) -3/8 (c) g c Let u = -67 - -71. Which is the nearest to 8? (a) 2 (b) 3 (c) u c Let z be (-1)/(-4) + 0/(-1). Let u be 1 + (-1 - -3) - (10 + -5). Let o be u + (1 - 12/(-14)). What is the nearest to o in 3/4, 2/9, z? 2/9 Let z be (-1)/(19/7 - (-22)/77). Suppose -5*v = -1 + 16. Let i = 7 + v. What is the closest to z in i, 1, -0.3? -0.3 Let o = -203/117 + 17/9. Let i = -0.18 + 18.18. Let n = 14 - i. What is the nearest to 1 in n, 5, o? o Suppose 3*g - 26 = 3*s + 2*s, s = -2*g - 13. Let u be (0 + -1)*2/s. Let i = -0.1 - 0. Which is the nearest to i? (a) 5 (b) 1/2 (c) u c Let l = -2/111 - -121/555. Let z = 7.3 + 23.7. Let x = -33 + z. Which is the nearest to 3? (a) 0.4 (b) l (c) x a Let s(d) = d - 7. Let w be s(5). Let g = -1.03 - -37.03. Let n = g + -35. Which is the nearest to w? (a) n (b) -0.5 (c) -2/7 b Let s = -12.082 + 0.082. What is the nearest to -0.1 in s, -2, 0.15? 0.15 Let g = -40 + 282/7. Let k be (-26)/22 + 4/22. Let t be (1 + k)/((-2)/2). What is the nearest to -1 in g, t, 3? t Let k = -102 + 103. What is the closest to 0 in k, 3, -0.03? -0.03 Let l(o) = -o**3 - 7*o**2 - 5*o + 7. Let t = -15 + 9. Let g be l(t). Let d = -3 + 3.2. Which is the closest to 2? (a) d (b) g (c) -2/3 b Let v = 234.1 + -231.1. Which is the closest to v? (a) -24 (b) 2/7 (c) -3 b Let x = -4.78906 - 0.12194. Let g = x + -0.089. Let c = -0.2 - -0.3. What is the nearest to c in 1/2, 1, g? 1/2 Let q be (-16)/(-120) + (3 - (-718)/(-210)). What is the closest to -2 in -5, q, -2, 4? -2 Let u = 1396 - 1395. Which is the nearest to 1? (a) 3/23 (b) -5 (c) u c Let j be ((4 - -5) + -9)/(1 - -1). Which is the nearest to j? (a) 6 (b) 3/4 (c) -3 b Let r = 113 + -112.9. Let z = -1.3 + 0.3. Which is the nearest to 2/7? (a) z (b) -5/3 (c) r c Suppose 0*g - 6 = -4*w - g, 0 = 4*w - 4*g + 4. Let d be (-56)/(-189)*6/(-4). Let t = 37 - 33. Which is the nearest to w? (a) t (b) d (c) 0.1 c Suppose -41 = 4*q - 5*k, 35 = -q - 4*q + 3*k. Let d be (-6 - q) + (-12)/(-9). What is the closest to 0 in d, -1, -5? d Let s = 1.35 + -1.05. Let n = 12.5 + -13. Which is the nearest to -2? (a) s (b) n (c) -2 c Let a = -1.1 + 0.8. Let z = -0.7 + 0.8. Let n = 0.4 - z. What is the nearest to 3 in a, -1, n? n Suppose 0 = 5*a - 10, 0*m - 2*m - 4*a + 28 = 0. Suppose k = -k - m. Let z = -433 - -431. What is the closest to -1 in 1/4, k, z? z Suppose -5*d - 15 = 2*j, -3 + 6 = 2*j - d. Suppose -17*c + 14*c = j. Let o = 12 - 18. What is the nearest to c in o, 2, -5? 2 Let j be 63/108 + 14/21. What is the closest to -19 in 0, j, -0.5, 1? -0.5 Let t = -296.5 - -296. Let p be (6/(-4) - -2)*1. Which is the closest to p? (a) t (b) -4 (c) 0.08 c Let w = 172.1 + -172. Which is the nearest to 1/3? (a) 5 (b) w (c) -3 b Let h = 73 - 75.5. Let k = h + 7.5. What is the closest to 2 in 3, k, 7? 3 Let q = -91 - -268/3. Let n = 709/5 + -141. What is the nearest to 2 in n, -0.5, q? n Let z = 0 + 2. Let y be z*2/(-12) + 0. Let w = 2.45 + -2.45. Which is the closest to w? (a) 4 (b) y (c) 0.5 b Let i = -49 - -43. Which is the nearest to -2/3? (a) 3 (b) i (c) -4 c Suppose -24*w = -49*w. What is
{ "pile_set_name": "DM Mathematics" }
+ 6. Let f(w) be the first derivative of -2*w**3 + 5*w + 15. Let y(j) = 6*f(j) - 5*z(j). Let v(x) = -11*x**2. Determine y(v(n)). -121*n**4 Let w(c) = 2*c + 2. Let o(u) = 16*u + 12. Let s(t) = o(t) - 6*w(t). Let p(b) = 15*b. Calculate p(s(d)). 60*d Let x(h) = h. Let u(i) = 8600*i**2 - 1505*i. Let v(d) = 86*d**2 - 15*d. Let r(f) = 6*u(f) - 602*v(f). What is r(x(q))? -172*q**2 Let z(u) = 139*u**2 - 280*u**2 - 2 + 139*u**2 - 12. Let c(x) = -x. Determine z(c(g)). -2*g**2 - 14 Let q(a) be the first derivative of 5 - 1/3*a**3 + 0*a + 0*a**2. Let n(j) = 17*j. Give n(q(f)). -17*f**2 Let z(j) = 8*j + 8. Let n(p) = p**2 + p + 1. Let r(w) = 24*n(w) - 3*z(w). Let m(i) be the third derivative of -i**4/24 + 49*i**2. Calculate r(m(v)). 24*v**2 Let w(f) = -49*f. Let k(o) = -6*o**2 + 3*o. Give k(w(h)). -14406*h**2 - 147*h Let y(c) = -49 + 2*c**2 - 29 + 78. Let h(a) = -35*a. Give h(y(j)). -70*j**2 Let z(j) = -j + 21. Let g be z(7). Let t(f) = 20*f - g*f - 11*f. Let h(p) = -2*p**2. What is t(h(x))? 10*x**2 Let q(i) = -3*i. Let u(w) = 2*w - 9. Let v(c) = c - 1. Let g(h) = -u(h) + 6*v(h). Let n(o) = -9*o - 7. Let l(z) = 14*g(z) + 6*n(z). Calculate q(l(y)). -6*y Let y(s) = 24*s**2 + 18*s - 9. Let c(z) = -11*z**2 - 8*z + 4. Let d(n) = -9*c(n) - 4*y(n). Let k(b) = -42*b**2. Give k(d(f)). -378*f**4 Let c(n) = -36*n. Let o(t) = 8*t**2 + 11*t**2 - 25*t**2. What is c(o(p))? 216*p**2 Suppose 4*a - 12 = -4*p, 5*p - 21 + 6 = -2*a. Suppose a*i - 5*i + 30 = 0. Let u(w) = -i*w + 4*w - 3*w + 7*w. Let n(d) = -d**2. What is n(u(c))? -4*c**2 Let t(r) = -2*r - 6 + 6. Let w(f) = -f. Let d(j) = t(j) - w(j). Let p(l) = 2*l. Calculate p(d(k)). -2*k Let z(b) = 2411*b**2. Let f(y) = -y + 6. What is f(z(j))? -2411*j**2 + 6 Let d(v) = 222*v + 42. Let q(t) = -26*t - 5. Let s(w) = -5*d(w) - 42*q(w). Let z(c) = -5*c. What is z(s(h))? 90*h Let a(s) = 178*s + 5*s**2 + 7*s**2 - 178*s. Let i(h) = 12*h. Let j(f) = -30*f. Let n(k) = 12*i(k) + 5*j(k). What is a(n(d))? 432*d**2 Let q(p) = 3*p. Let k(c) be the first derivative of -7*c**6/360 - 52*c**3/3 - 27. Let r(b) be the third derivative of k(b). Determine r(q(w)). -63*w**2 Let i(r) = -3*r - 1629. Let x(d) = 2*d. Determine i(x(n)). -6*n - 1629 Suppose -n - 7 = -o, 0*o - 3*o + 4*n + 26 = 0. Let z(i) = i**2 + 0*i**o + 0*i**2. Let p(c) = -29*c. Give z(p(f)). 841*f**2 Let y(z) = 5*z. Let l(s) = 89*s + 70. Determine y(l(c)). 445*c + 350 Let s(d) = -32946*d + 3. Let w(l) = -l. Give w(s(u)). 32946*u - 3 Let p(o) be the second derivative of o**3/3 - 19*o. Let d be (-636)/(-21) - (-6)/(-21). Let j(x) = -d*x + 30 - 30. Give j(p(g)). -60*g Let u(p) = -29*p**2 + 3*p**2 - 5*p**2. Let c(a) be the second derivative of -a**4/12 + 3*a + 423. Determine c(u(r)). -961*r**4 Let r(u) = 5*u - 27. Let m(f) = -4*f + 18. Let x(i) = 3*m(i) + 2*r(i). Let a(c) = 199*c + 2. Calculate x(a(w)). -398*w - 4 Let y(z) = -2*z. Suppose 4*g = 5*d - 2*d - 58, -5*g - 6 = d. Let n(t) = 6*t**2 + 9*t**2 - d*t**2. What is y(n(x))? -2*x**2 Let c(d) = -4*d**2 + 18. Let q(k) = 1. Let v(i) = -2*c(i) + 36*q(i). Let p(y) be the first derivative of y**3 + 16. Give p(v(o)). 192*o**4 Let s(h) = 3*h**2. Let b(m) = -172*m + 774. Let w(o) = 9. Let v(a) = b(a) - 86*w(a). Give v(s(c)). -516*c**2 Let k(i) = 10*i**2. Let l(x) = -923*x**2. Give k(l(u)). 8519290*u**4 Let q(t) = 12*t - 11. Let d(c) be the third derivative of c**4/6 - 2*c**3/3 - 21*c**2. Let l(b) = -11*d(b) + 4*q(b). Let g(s) = 3*s. What is l(g(a))? 12*a Let w(u) = 11*u**2 - 2*u + 6. Let q(h) = -240*h**2 + 45*h - 135. Let o(v) = -4*q(v) - 90*w(v). Let j(p) = 17*p. Determine o(j(a)). -8670*a**2 Let z(c) = 2*c. Let j(s) be the third derivative of -475*s**4/24 - 109*s**2 + 3. Determine z(j(n)). -950*n Let a(p) be the second derivative of -5*p**3/6 + p**2 + 16*p. Let g(x) = 4*x**2. What is g(a(r))? 100*r**2 - 80*r + 16 Let i(c) = 3*c. Let z(t) be the third derivative of 0 + 0*t + 0*t**3 + 3*t**2 + 1/12*t**4. Give z(i(d)). 6*d Let t(h) = -h + 51. Let g(k) = -1067*k. Calculate t(g(u)). 1067*u + 51 Let r(m) be the third derivative of m**4/8 - 2*m**3/3 - 18*m**2. Let b(f) = -2*f + 3. Let d(u) = 4*b(u) + 3*r(u). Let g(s) = -2*s**2. Determine d(g(w)). -2*w**2 Suppose -j + 4 = j. Let h(d) be the first derivative of 50*d**j - 49*d**2 - 2 + 8. Let g(b) = -9*b**2. Give g(h(r)). -36*r**2 Let g(p) be the third derivative of -p**2 + 0*p + 0*p**3 - 1/24*p**4 + 0. Let x(o) = -o - 1. Let z(f) = -8*f + 4. Let l(b) = 4*x(b) + z(b). What is g(l(y))? 12*y Let v(t) = -155*t**2 - 50*t + 25. Let a(q) = -39*q**2 - 12*q + 6. Let u(m) = -25*a(m) + 6*v(m). Let d(j) = j**2. Calculate d(u(z)). 2025*z**4 Let y(o) = -2*o**2. Let i(l) be the second derivative of -17*l**4/2 - 388*l. What is y(i(d))? -20808*d**4 Let u(g) = 1271*g - 283. Let l(w) = -2*w. Give l(u(q)). -2542*q + 566 Let f(o) be the third derivative of -13*o**5/30 + o**4/24 + 451*o**2. Let c(l) = 3*l**2. Calculate c(f(s)). 2028*s**4 - 156*s**3 + 3*s**2 Let q(m) = 2*m. Let d = -22 + 32. Let a(c) = -d*c + 0*c - 3*c. Calculate q(a(r)). -26*r Let b(y) = -173*y**2. Let o(w) = 566*w**2. What is o(b(a))? 16939814*a**4 Let h(x) be the second derivative of 23*x**5/20 + x**3/6 + 5*x. Let u be h(1). Let y(s) = 20 + u + s - 44. Let m(p) = -2*p. What is m(y(a))? -2*a Let s(c) = 8*c**2. Suppose -2*m = -2*z + 4, 27 - 3 = 5*z + 2*m. Let i(g) = 1 + 3 - z + g. Determine s(i(r)). 8*r**2 Let x(j) = -21*j. Let a(b) = -75*b + 62*b + 8*b. Determine a(x(z)). 105*z Let r(y) = -9*y**2 + 11*y - 12. Let l(o) = -9*o**2 + 12*o - 14. Let k(d) = 6*l(d) - 7*r(d). Let h(f) = 3*f. Calculate h(k(g)). 27*g**2 - 15*g Let w(a) = -7*a**2. Let z(d) = 4*d**2 + 18*d - 1. Calculate z(w(t)). 196*t**4 - 126*t**2 - 1 Let l(v) = -3*v**2. Let w(o) = 120*o + 418. What is w(l(s))? -360*s**2 + 418 Let a(i) = -109106*i. Let n(w) = w**2. Calculate a(n(r)). -109106*r**2 Let c(n) = -29*n**2 - 23*n - 5. Let s(h) = -29*h**2 - 29*h - 6. Let x(q) = -6*c(q) + 5*s(q). Let w(z) = 2*z. What is w(x(v))? 58*v**2 - 14*v Let z(l) = 35177*l. Let q(o) = 2*o**2. Calculate q(z(b)). 2474842658*b**2 Let d(z) = 14*z**2 - 7. Let c(m) = -24*m - 42. Let i(u) = -5*u - 9. Let g(r) = -3*c(r) + 14*i(r). Give d(g(w)). 56*w**2 - 7 Let z(v) = -2*v**2 + 4. Let d(o) = -5*o**2 + 9. Let c be 84/(-22) - (-8)/(-44). Let t(h) = c*d(h) + 9*z(h). Let b(f) = -2*f. Calculate t(b(w)). 8*w**2 Let a(n) = n**2. Let v(s) = 13*s**2 + 6*s - 13. Let h(z) = -2*z**2 - z + 2. Let o(k) = 6*h(k) + v(k). Give a(o(i)). i**4 - 2*i**2 + 1 Let x(u) = -u**2. Let k(c) be the third derivative of 0*c**3 + 0*c + 13*c**2 + 0*c**4 + 0 - 1/60*c**5. Determine x(k(r)). -r**4 Let p(q) = 2*q**2. Let d(l) = 8*l**2 + 26855. Give d(p(a)). 32*a**4 + 26855 Let v(c) = 6*c + 3 - 2*c + 1 - 3*c. Let t be v(-2). Let i(k) = -10*k**2 + 14*k**2 - 6*k**t. Let r(l) = 3*l. What is r(i(m))? -6*m**2 Let q(f) = -165*f - 2. Let v(r) = -55*r - 3. Let k(l) = 92*l + 5. Let y(g) = 3*k(g) + 5*v(g). Calculate q(y(h)). -165*h - 2 Let d(u) = 2*u**2. Suppose 36 = 12*n - 3*n. Let r(q) be the second derivative of 5/12*q**n + 0 + q + 0*q**2 + 0*q**3. Determine r(d(s)). 20*s**4 Let q(r) = -2*r**2. Let g(h) = -25*h + 4. Let i(p) = 78*p - 13. Let d(s) = 13*g(s) + 4*i(s). Calculate d(q(y)). 26*y**2 Let s(n) = -5*n + 17*n - 13*n. Let q(i) be the first derivative of 2*i**3/3 - 10. Calculate q(s(o)). 2*o**2 Let f(i) = i. Let k(x) be the third derivative of 0*x**3 + 17*x**2 + 1/12*x**4 + 0 + 0*x. What is k(f(l))? 2*l Let d(k) = 2*k**2. Let a(r) = -480*r + 2. What is a(d(f))? -960*f**2 + 2 Let d(u) = -5*u. Let x(n) be the third derivative of 0 + 0*n + 1/60*n**5 + 0*n**4 + 7*n**2 + 0*n**3. What is x(d(p))? 25*p**2 Suppose 10*p = 33*p. Let v(d) be the first derivative of -1/3*d**3 + p*d + 0*d**2 - 5. Let a(w) = w**2. Calculate a(v(n)). n**4 Let m(x) = 28 + 5*x - 33 - 6*x**2 - 5*x. Let a = 15 + -11. Let n(t) = -5*t**2 - 4. Let r(y) = a*m(y) - 5*n(y). Let u(l) = -7*l. Determine r(u(q)). 49*q**2 Let r(x) = -x**2. Let p(z) = 2567308*z. Determine r(p(q)). -6591070366864*q**2 Let u(y) be the first derivative of -2*y**2 - 283. Let t(g) = g. Let r(d) = -4*d. Let m(v) = -r(v) - 5*t(v). Give m(u(b)). 4*b Let p(k) be the second derivative of -4*k**4/3 - 2*k. Let y(s) = -s**2 + 2*s + 20. Let i(u) = 9*u**2 - 17*u - 170. Let h(d) = 6*i(d) + 51*y(d). Give h(p(r)). 768*r**4 Let u(x) = 29877*x. L
{ "pile_set_name": "DM Mathematics" }
*o**3 + 8*m*o**2 - 288 wrt o? 6*m**3 - 9180*m**2 Find the first derivative of -250875*v + 1528179 wrt v. -250875 What is the second derivative of -6085*a**4 + a + 2673 wrt a? -73020*a**2 Find the third derivative of 2*i*j**5 + 102921*i*j**2 + 89535*j**5 + 2*j**2 + 2*j wrt j. 120*i*j**2 + 5372100*j**2 Find the third derivative of y**4 + 15326*y**3 + 8243*y**2 wrt y. 24*y + 91956 Find the third derivative of -189786*i**5 - 2*i**3 - 148*i**2 - 36*i - 2. -11387160*i**2 - 12 Find the third derivative of -2407772*y**3 - 367*y**2 + y - 837. -14446632 Find the first derivative of -37*a**4 - 2*a**3 + 45*a**2 + 41922 wrt a. -148*a**3 - 6*a**2 + 90*a Find the second derivative of -2*b**4 + 4206*b**3*n - 2*b**3 - 273*b*n + 2*b - n wrt b. -24*b**2 + 25236*b*n - 12*b Differentiate -35425*t**4 - 9*t + 2235830 with respect to t. -141700*t**3 - 9 What is the first derivative of 257*w*y**3 - w*y**2 - 7*w*y - 27743*y**3 wrt w? 257*y**3 - y**2 - 7*y What is the second derivative of -51*b**3*g - 42*b**3 + b*g + b - 4*g - 23 wrt b? -306*b*g - 252*b Differentiate 8*n*x**3 + 222*n*x**2 - 2*n*x - 16524*x**3 wrt n. 8*x**3 + 222*x**2 - 2*x What is the third derivative of -18136*w**6 + 26*w**2 - 13*w wrt w? -2176320*w**3 Find the first derivative of -3*y**3 + 786*y**2 + 47*y + 886 wrt y. -9*y**2 + 1572*y + 47 Differentiate -2*s**2*w + s**2 + 68*s*w - 2066*s - 744246*w wrt s. -4*s*w + 2*s + 68*w - 2066 Find the third derivative of 112*d**5*l**2 + 2730*d**5*l - 15*d**2*l + 4950*d*l**2 wrt d. 6720*d**2*l**2 + 163800*d**2*l Find the first derivative of -523*w + 19715 wrt w. -523 What is the second derivative of 11*c**2*d**2 - 273*c**2*z + 15*c*d**2*z + 5*c*d*z + 2*c - 4*d**2*z + 2 wrt c? 22*d**2 - 546*z Find the first derivative of 188*b**2*s**3 + 13*b**2*s - 35013*b**2 wrt s. 564*b**2*s**2 + 13*b**2 What is the derivative of 115607*w**2*x**2 - 6*w*x**3 - 2*w*x - 2606225*x**3 wrt w? 231214*w*x**2 - 6*x**3 - 2*x What is the derivative of g*w**2*x - 151169*g*w - 45*g*x + 21*w**2*x - w**2 - x wrt x? g*w**2 - 45*g + 21*w**2 - 1 What is the derivative of 233201*p**2 - 276824? 466402*p What is the derivative of -838906*d**3 + 4281459 wrt d? -2516718*d**2 What is the second derivative of -1592*i**2*p**2 + 3*i**2*p - 103*i**2 - 130*p**3 wrt p? -3184*i**2 - 780*p What is the second derivative of -3*b**4 - 73*b**3 - 74*b**2 - 3194*b - 4 wrt b? -36*b**2 - 438*b - 148 What is the derivative of -120*r**2 - 177*r + 62249 wrt r? -240*r - 177 Find the first derivative of -41*d**4 + 2*d**2 + 4073*d - 2437227. -164*d**3 + 4*d + 4073 What is the second derivative of 278950*m**4 - m**2 + 11647*m + 43 wrt m? 3347400*m**2 - 2 Find the first derivative of -889194*b - 454094 wrt b. -889194 What is the second derivative of 1338093*x**2 - x + 330665? 2676186 Find the third derivative of 10*q**6 + 1652*q**5 + q**4 - 11*q**2 + 104*q - 9. 1200*q**3 + 99120*q**2 + 24*q Find the second derivative of -3*m**3 - 304*m**2*q**3*z - 11*m**2*q + 6*m*q**2 - 674*m*q*z + q**3*z - q**3 + 4*q**2*z + 2*z wrt m. -18*m - 608*q**3*z - 22*q Find the first derivative of -2*k**3*r - 945*k**3 - 2*k**2 - 735*k*r**2 - 7*k + 2*r**2 wrt r. -2*k**3 - 1470*k*r + 4*r Differentiate 66*d*p*r**3 + 9*d*p*r - 11*d*r**3 + 21*p*r**3 + 38405*r**3 with respect to p. 66*d*r**3 + 9*d*r + 21*r**3 What is the derivative of -149430*k + 7766? -149430 Find the second derivative of 4057*b*v**2 + 3450*b*v - 91*v**2 - 21*v + 2 wrt v. 8114*b - 182 Find the second derivative of 11*i**3*n**4 - 6*i**3*n - 28*i**2*n + 6637*i*n**5 + 64*i*n + 2*n wrt n. 132*i**3*n**2 + 132740*i*n**3 Find the first derivative of 12733*n - 112526 wrt n. 12733 What is the first derivative of -356262*d - 52166 wrt d? -356262 What is the first derivative of -64338*k*u + 2238*k + 15 wrt u? -64338*k What is the second derivative of -224599*n**4 - 100112*n? -2695188*n**2 Differentiate 1015481*m**2 - 42823. 2030962*m Find the third derivative of -30122*i*s*u**4 + i*s*u**3 - 3*i*s*u**2 - 25*i*s*u - 11*s*u**2 + 2*s*u wrt u. -722928*i*s*u + 6*i*s Find the first derivative of 8*o**2*y - 10936*o**2 - 2*o*y + 5449*y wrt y. 8*o**2 - 2*o + 5449 What is the third derivative of -456355*g**6 - 376287*g**2? -54762600*g**3 What is the third derivative of 94939*f**3*r*u**3 - f**3*r*u + 15*f**2*u**3 - 1110*f**2 - r*u wrt f? 569634*r*u**3 - 6*r*u Find the third derivative of -197482*y**4 - 119312*y**2. -4739568*y What is the second derivative of -2*a**3 - 8871*a**2 - 67103*a + 3? -12*a - 17742 Find the second derivative of -19664*p**5 - 23*p + 2994. -393280*p**3 What is the derivative of -42*k**4 + 7*k**2 - 3*k + 67713 wrt k? -168*k**3 + 14*k - 3 What is the third derivative of 55*j**2*k**3 - 3*j**2*k**2 + 543*j**2*k + 103*j*k**3 - 24*j*k + 11*k**3 wrt k? 330*j**2 + 618*j + 66 What is the second derivative of -136316*o**2 - o + 51763 wrt o? -272632 What is the first derivative of -3*d**4*w + d**4 - 37*d*w + 10464*w wrt d? -12*d**3*w + 4*d**3 - 37*w Find the first derivative of -3674*c**3*z**2 + 2*c**3*z + 53694*c**3 - 7*c*z**2 wrt z. -7348*c**3*z + 2*c**3 - 14*c*z What is the second derivative of 3*i*o**3 - i*o**2 - 14*i*o - 462*i + 11*o**3 + 31*o**2 wrt o? 18*i*o - 2*i + 66*o + 62 What is the first derivative of -36181*h**2 - 16476? -72362*h What is the derivative of -313046*d + 116591? -313046 What is the third derivative of -5*r**5 - 1725*r**4 + 2*r**2 - 6*r + 444? -300*r**2 - 41400*r Find the second derivative of -490690*y**2 + 613835*y. -981380 What is the derivative of 22192*h**4 - 38006 wrt h? 88768*h**3 What is the third derivative of -456837*q**3 - 71*q**2 - 119*q + 2? -2741022 What is the second derivative of -a*v*w**2 - 559*a*v*w + 2675*a*w**4 + 18*a*w - 3*v*w**2 wrt w? -2*a*v + 32100*a*w**2 - 6*v Differentiate -2*d**3 - 98713*d + 440571 wrt d. -6*d**2 - 98713 What is the second derivative of -16672*v**5 + 49046*v? -333440*v**3 What is the third derivative of 574*v**2*w**3 + 86206*v**2*w**2 + 72*w**3 wrt w? 3444*v**2 + 432 What is the third derivative of -150*b**6 + 3*b**4 - 44*b**3 + 443515*b**2? -18000*b**3 + 72*b - 264 Find the third derivative of h**5 - 12*h**4*r**3 - 288*h**3*r - 597*h**2*r - 15*h**2 + 2*r**3 - 2*r**2 wrt h. 60*h**2 - 288*h*r**3 - 1728*r What is the second derivative of -400728*a**2 + 6*a + 3715 wrt a? -801456 Find the third derivative of -2*n*r**5 + 20663*n*r**3 + 38107*n*r**2 wrt r. -120*n*r**2 + 123978*n Find the first derivative of -4304*d - 30016 wrt d. -4304 What is the second derivative of -11*u**4 + 20*u**3 + u**2 + 3555*u + 31? -132*u**2 + 120*u + 2 What is the third derivative of 16*p**2*z**3 - 16*p**2*z**2 - 948*p*z**4 - 3*z**2 - 2*z - 4 wrt z? 96*p**2 - 22752*p*z Find the first derivative of 1674*n**3 + 11*n - 86931 wrt n. 5022*n**2 + 11 Differentiate -5*u*w**4 - 30*u*w**2 + 1156*u*w + 86701*u with respect to w. -20*u*w**3 - 60*u*w + 1156*u Differentiate 75*a**3*y + 29*a**3 - 7055*a**2*y + 33*a**2 + a + 2*y - 2 with respect to y. 75*a**3 - 7055*a**2 + 2 What is the second derivative of 46*i**4 - 1789*i**2 - i + 46056? 552*i**2 - 3578 What is the third derivative of -167931*a**6 + a**3 + 19*a**2 - 10788? -20151720*a**3 + 6 What is the second derivative of -200956*h**2*q + 108*h*q - 342*h wrt h? -401912*q Find the third derivative of 21516*c**6*q*s**3 - 2*c**3*q**2 - 15*c**2*q**2*s - 2*c**2*q - 40*c*s**3 - 2*q**2*s**3 + 16*s**3 wrt c. 2581920*c**3*q*s**3 - 12*q**2 Find the third derivative of -17618*k**4 + 75*k**2 - 2*k - 936 wrt k. -422832*k Find the third derivative of 321214*f**3 + f**2 + 56*f + 652. 1927284 What is the first derivative of 6*r**4 + 5*r**3 - 22*r**2 + 22580 wrt r? 24*r**3 + 15*r**2 - 44*r Differentiate 10315*t**2 - 3*t + 7843. 20630*t - 3 Differentiate -71269*h + 169109. -71269 Find the third derivative of -5*i*x**5 + 6*i*x**3 - i*x**2 - 35*x**5 + 7*x**2 - 11*x - 3 wrt x. -300*i*x**2 + 36*i - 2100*x**2 Find the third derivative of -54*c**4*d**2 - 267*c**4 + 198*c**2*d**2 + 8*c**2*d - 17*c**2 - 2*c wrt c. -1296*c*d**2 - 6408*c What is the third derivative of k**5 + 2*k**4 + 121208*k**3 + 161931*k**2 + k wrt k? 60*k**2 + 48*k + 727248 Find the third derivative of -2*b**6 - b**3*s - 71666*b**3 + 9129*b**2*s - b*s wrt b. -240*b**3 - 6*s - 429996 Find the first derivative of -35117*m**2*o + 2*m**2 + 4*m*o - 34659*m + o + 2 wrt o. -35117*
{ "pile_set_name": "DM Mathematics" }
ivative of 0*u**5 + 5/6*u**4 + 0*u**6 - 5*u**2 + 0*u**3 + 1/15*u**7 + 0 + 0*u. Find the second derivative of v(b) wrt b. 168*b**2 Suppose d = 7*d. Let c(m) be the second derivative of -m**2 + d*m**3 - 1/6*m**4 + 5*m + 0. Find the first derivative of c(g) wrt g. -4*g Let k(t) = -t**4 + t**3 - t**2 - 1. Let o(d) = -3*d**4 + 21*d**3 + 78*d**2 - 1. Let c(p) = k(p) - o(p). What is the third derivative of c(h) wrt h? 48*h - 120 Let x(l) be the second derivative of -l**6/15 - 5*l**4/4 - l**3/6 + l**2/2 + 62*l. Find the second derivative of x(f) wrt f. -24*f**2 - 30 Let m(p) be the first derivative of -p**8/14 - 13*p**4/12 - 7*p - 9. Let g(i) be the first derivative of m(i). What is the third derivative of g(x) wrt x? -480*x**3 Let y be 3 + (2 - (0 + 3))*-11. Differentiate -35*c**4 + y + 19*c**4 - 6 with respect to c. -64*c**3 Suppose -5 = -o, k = -3*k + o + 3. Let i = 261 + -255. What is the third derivative of -4*m**2 + m**i - 3*m**6 - m**k - 3*m**6 wrt m? -600*m**3 Let j(s) be the second derivative of 0*s**3 + 1/2*s**4 - s + 9/2*s**2 + 0. What is the first derivative of j(o) wrt o? 12*o Let h(s) = -455*s - 538. Let r(w) = -1822*w - 2161. Let v(y) = -22*h(y) + 6*r(y). What is the derivative of v(x) wrt x? -922 Let l = 8 - 5. Let o(z) = 2*z**4 - 5*z**2 - 3. Let q = 288 + -287. Let k(i) = -i**4 + 1. Let m(p) = l*k(p) + q*o(p). What is the third derivative of m(b) wrt b? -24*b Let l be (-12)/(-18) + (-1)/(-3). Suppose -1 = -n + l. What is the second derivative of 4*q - 3*q**2 - 4*q**n + 4*q**2 + 4*q**2 wrt q? 2 Let j(u) = -437*u + 967. Let t(i) = 145*i - 321. Let m(z) = -3*j(z) - 8*t(z). What is the derivative of m(y) wrt y? 151 Let g(l) = 1. Let a(x) = 15*x + 55. Suppose 4*o + 125 = 9*o. Let c(y) = o*g(y) - a(y). Find the first derivative of c(q) wrt q. -15 Find the third derivative of 10*i**4 + 15508 + i**4 - 15508 - 18*i**2 wrt i. 264*i Let h(c) be the second derivative of -131*c**7/42 + c**4/12 - c**3/2 - 37*c**2/2 + 156*c. Find the second derivative of h(n) wrt n. -2620*n**3 + 2 Suppose -4*p + 3*w - w = -22, p + w = 1. Let n be 10/5 + 2*1. What is the third derivative of p*s**2 + s**n + s - s wrt s? 24*s Let y(x) = 10*x**2 + 10*x. Let c(b) = -3*b - 3*b**2 - 3*b**2 + 3*b**2. Let k = 22 - 20. Let r(o) = k*y(o) + 7*c(o). What is the second derivative of r(l) wrt l? -2 Suppose 0 = f - 16*f + 30. What is the second derivative of -6*o**f + 7*o**3 + o - 36*o**3 + 13*o**3 - 7 + 12*o**3 wrt o? -24*o - 12 Let l(q) be the third derivative of -q**9/252 + 41*q**8/84 - 2*q**5/5 + 57*q**2. Find the third derivative of l(m) wrt m. -240*m**3 + 9840*m**2 Let r = -264 + 372. Find the third derivative of r*z + z**2 - 12*z**4 - 108*z - 12*z**2 wrt z. -288*z Let n(g) = -4*g - 42. Let a(k) be the second derivative of -4*k**3/3 - 85*k**2/2 + 19*k. Let y(o) = -6*a(o) + 13*n(o). Differentiate y(r) wrt r. -4 Let m(c) be the third derivative of -667*c**6/120 - c**5/60 - 5*c**4/12 - c**2 + 139. Find the third derivative of m(i) wrt i. -4002 Let g(w) be the third derivative of 10*w**2 + 0*w**5 + 0*w + 0*w**3 - 1/210*w**7 + 5/6*w**4 + 0*w**6 + 0. What is the second derivative of g(u) wrt u? -12*u**2 Let p(s) = -s**2 - 1. Let b(w) = -11*w**3 - 874*w + 6 + 874*w. Let m be 8/(-5) - (-15)/25. Let z(i) = m*b(i) - 6*p(i). Find the third derivative of z(c) wrt c. 66 Let c be 0 + (-19)/(171/(-6)). Let d(n) be the third derivative of 0*n + 5/24*n**4 - 3*n**2 - c*n**3 + 0. What is the derivative of d(a) wrt a? 5 Let z(v) = v**2 + 3*v + 8. Let j be z(-2). What is the second derivative of -6*k - j*k**3 - 7*k + 7*k wrt k? -36*k Let y be 10/(-5)*(-1)/4*6. Suppose 0 = 2*u - 2 - 4. Differentiate -8*p**3 - 4 + 2*p - 2*p + y*p**u with respect to p. -15*p**2 Suppose -4*w - 4 = -0*w. Let v(y) = 2*y**3 + y + 4. Let r(s) = s**3 - s. Let d(k) = w*r(k) - v(k). What is the first derivative of d(o) wrt o? -9*o**2 Let b(h) be the first derivative of h**5/20 + 3*h**4/4 - 7*h - 4. Let o(x) be the first derivative of b(x). Find the third derivative of o(r) wrt r. 6 Let q(u) = u**3 + 3*u**2 - 1. Let g be q(-2). Find the second derivative of -6*j**g - 4*j + 2*j - 6*j + 4*j**3 wrt j. -12*j Let f(b) be the third derivative of -11*b**7/35 - 3*b**5/20 - 5*b**3/6 - 28*b**2. Find the third derivative of f(l) wrt l. -1584*l Let c = 37 - 35. Let w(o) = -11*o**2 + 21*o. Let z(d) = 45*d**2 - 85*d. Let f(u) = c*z(u) + 9*w(u). Find the second derivative of f(g) wrt g. -18 Suppose 2*j - 15 = 15. Find the second derivative of j*m + 33*m**4 - 6*m + 18*m wrt m. 396*m**2 Let b = -58 - -61. Find the first derivative of 6*n**b + 21*n**3 + 39 - 15*n**3 wrt n. 36*n**2 Let b(m) = -m**2 + 10*m - 6. Suppose -2*x + 21 = -0*x + t, 4*x - t - 33 = 0. Let w be b(x). Find the third derivative of -u**2 - u**3 - w*u**2 + 0*u**2 wrt u. -6 Let h(g) be the third derivative of 1/12*g**5 - 11*g**2 + 0*g**4 + 0 + 0*g**3 - 1/12*g**6 + 0*g. Find the third derivative of h(u) wrt u. -60 Let v = -105 + 108. Find the third derivative of 0*b**3 - v*b**3 - 10*b**4 - b**4 + 2*b**2 + 12*b**4 wrt b. 24*b - 18 Suppose 5*u - 2 + 7 = 0. Let b = 4 + u. Find the third derivative of 9 + h**2 - 5 + b*h**4 - 4 wrt h. 72*h Let c(j) = 484*j**3 + 18*j**2 + 488*j - 8. Let i(h) = -121*h**3 - 4*h**2 - 122*h + 2. Let s(z) = 2*c(z) + 9*i(z). What is the second derivative of s(a) wrt a? -726*a Suppose 2*c = -3*c - 100. Let t = 24 + c. Let b(x) = -x**2 + 3*x - 3. Let u(q) = 2*q - 4. Let w(f) = t*b(f) - 3*u(f). Find the second derivative of w(i) wrt i. -8 Let p be (-72)/(-63) + 180/700. Let q(o) be the first derivative of 0*o**2 + 0*o**3 + 0*o**4 + 10 + p*o**5 - 5*o. Differentiate q(r) wrt r. 28*r**3 What is the second derivative of 148*q**2 + 7*q - 13 - 87*q**2 + 384*q**2 wrt q? 890 Let l(f) be the first derivative of 0*f**5 - 2 + 0*f**4 - 3*f + 0*f**2 + 4/3*f**3 + 2/3*f**6. What is the third derivative of l(r) wrt r? 240*r**2 What is the derivative of -11 - 41 - a + 0*a - 9 - 17*a**4 wrt a? -68*a**3 - 1 Let w(z) = -637*z**2 - 541*z - 6. Let d(c) = 1911*c**2 + 1624*c + 17. Let f(j) = 6*d(j) + 17*w(j). Find the second derivative of f(h) wrt h. 1274 Find the first derivative of -81 - 6*c**3 - 139*c**3 - 39 - 6 - 16 wrt c. -435*c**2 Let o(s) be the second derivative of 103*s**5/10 + s**4 + 142*s. Find the third derivative of o(j) wrt j. 1236 Let k(u) be the third derivative of 5*u**7/1008 - u**6/180 - u**5/15 - 25*u**2. Let s(p) be the third derivative of k(p). Differentiate s(q) with respect to q. 25 Let c(b) be the first derivative of b**7/420 + b**5/120 + 11*b**3/3 - 8. Let h(o) be the third derivative of c(o). Find the second derivative of h(w) wrt w. 12*w Let i = -10 + 20. Let g = -3 + i. What is the second derivative of -6*s**2 + g*s + 13*s**2 - 3*s + 5*s wrt s? 14 Let m(k) be the third derivative of -k**9/126 + 16*k**5/15 - 74*k**2. What is the third derivative of m(c) wrt c? -480*c**3 Let f(w) be the first derivative of -34 + 31/2*w**2 - 41*w. Find the first derivative of f(c) wrt c. 31 What is the derivative of 263 + 48*l**2 + 149 + 132 + 12*l**2 - 6*l**4 wrt l? -24*l**3 + 120*l What is the derivative of 85*o - 22*o - 30*o - 93 + 90*o - 4*o wrt o? 119 Let c(z) = 5*z**4 - 6*z**3 + 6*z + 11. Let o(y) = 52*y + 2*y**3 + y**4 - 51*y - 3*y**3. Let d(g) = -c(g) + 6*o(g). Differentiate d(f) with respect to f. 4*f**3 Let w(a) = 20*a**5 + 12*a**4 + 413*a**2 + 3. Let q(u) = -u**2 + 1. Let h(y) = -3*q(y) + w(y). Find the third derivative of h(v) wrt v. 1200*v**2 + 288*v Let s(i) = 25*i**2 + 7*i + 2. Let c(w) = -24*w**2 - 7*w - 3. Let y(x) = -2*c(x) - 3*s(x). What is the second derivative of y(z) wrt z? -54 Let j(l) = l**4 - l**3 - l**2 - l. Let n(r) = -199*r**4 - 4*r**3 - 3*r**2 - 4*r - 40. Let o(s) = -4*j(s) + n(s). What is the derivative of o(d) wrt d? -812*d**3 + 2*d Let d(u) be the first derivative of 158*u**5/5 + u**3/3 + 142*u + 222. What is the derivative of d(a) wrt a? 632*a**3 + 2*a What is the second derivative of -3 + 0*l**3 + l**2 + 4*l**3 - 3*l**3 + 7*l wrt l? 6*l + 2 Let j(m) = 2*m**2 - 38*m - 23. Let k be j(20). What is the third derivative of -98*d**5 + 86*d**5 - d**2 - k*d**2 wrt d? -720*d**2 Let u(t) = t**4 - 2*t**3 - 128*t**2 + 4*t + 4. Let q(g) = -g**2 + g + 1. Let n(m) = -4*q(m) + u(m). Find the third derivative of n(r) wrt r. 24*r - 12 Let i(x) = -28*x**
{ "pile_set_name": "DM Mathematics" }
d(u(c))? 169*c**2 Let r(c) = 486*c**2 - 16. Let i(l) = -3*l. Determine i(r(h)). -1458*h**2 + 48 Let a(r) be the second derivative of -17*r**5/120 - r**3 + 3*r. Let w(n) be the second derivative of a(n). Let f(t) = -t**2. What is w(f(o))? 17*o**2 Let t(a) = -13*a**2. Let k(r) = -35437*r. Determine t(k(b)). -16325152597*b**2 Let i(l) = 9*l + 11. Let a(u) = 5*u + 7. Let g(j) = 5*a(j) - 3*i(j). Let w(h) = -2*h**2. What is g(w(n))? 4*n**2 + 2 Let k(m) = m. Let p(u) = 2*u**2 - 227222. Calculate k(p(c)). 2*c**2 - 227222 Let s(m) = -6546 + 6546 + 117*m. Let p(y) = 2*y**2. Determine p(s(k)). 27378*k**2 Let t(n) be the second derivative of n**3/3 + 139*n**2/2 - 305*n. Let y(d) = -2*d**2. Give t(y(r)). -4*r**2 + 139 Let b(l) = -89*l. Let y(c) = 6*c**2 - 9*c + 6. Let k(r) = 7*r**2 - 12*r + 8. Let m(h) = 3*k(h) - 4*y(h). Calculate m(b(q)). -23763*q**2 Let h(x) = x. Let m(i) = -10*i**2 + 32*i**2 - 17*i**2 + 11 + 11*i. Let z(o) = -3*o**2 - 6*o - 6. Let r = 2 - 8. Let n(t) = r*m(t) - 11*z(t). What is h(n(y))? 3*y**2 Let h(b) = 0 + 0 + 2*b. Let s(k) = 195*k**2 + 165*k. Let v(g) = -14*g**2 - 12*g. Let j(z) = 4*s(z) + 55*v(z). Calculate j(h(y)). 40*y**2 Let q(v) = v. Let o(i) = i**2 + i + 16. Let f be o(0). Suppose 7*p - 2 = 6*p. Let m(c) = 11*c**2 - f*c**2 + 10*c**p. Give q(m(g)). 5*g**2 Let a(g) = 3*g**2 + 9*g - 32. Let x(c) = -c. Give x(a(y)). -3*y**2 - 9*y + 32 Let k(b) be the first derivative of 17*b**3 + 179. Let i(c) = 8*c. What is i(k(a))? 408*a**2 Let f(a) = -2*a. Let m(c) = 3101*c. What is f(m(b))? -6202*b Let z(m) = 3*m**2. Let w(f) = 8*f**2 - 6*f + 6. Let v(l) = -8*l**2 + 5*l - 5. Let s be -1*(2 + 4)*-1. Let q(c) = s*v(c) + 5*w(c). What is z(q(h))? 192*h**4 Let r(n) = n + 4. Let x(p) = -5*p - 16. Let m(h) = 4*r(h) + x(h). Let t(j) = j**2 - 11 - 3*j + 3*j. What is t(m(o))? o**2 - 11 Let t(i) be the second derivative of 0*i**3 + 0*i**2 - 37*i + 0 - 61/12*i**4. Let o(a) = 2*a. What is o(t(d))? -122*d**2 Let y(o) = -2538*o. Let f(i) = 12*i. What is f(y(h))? -30456*h Let u(a) = a + 3. Let q(h) = -7*h - 18. Let r(t) = -q(t) - 6*u(t). Let j(v) = 8*v**2. Calculate r(j(o)). 8*o**2 Let u(x) be the third derivative of 7*x**5/20 + 20*x**3/3 - 2*x**2. Let k(i) be the first derivative of u(i). Let c(t) = -2*t**2. Calculate k(c(v)). -84*v**2 Let v(k) = -4*k - 128. Let p(t) = 15*t**2. Calculate p(v(n)). 240*n**2 + 15360*n + 245760 Let w(p) = 76*p. Let x(t) = 2*t**2 - 5495*t. Determine x(w(q)). 11552*q**2 - 417620*q Let q(p) = -2*p**2. Let i(t) be the second derivative of -7*t - 1/6*t**4 + 0*t**3 + 0*t**2 + 0. What is i(q(k))? -8*k**4 Let c(n) = 5445*n. Let x(a) = 357*a. Determine c(x(d)). 1943865*d Let q(d) = -2*d. Suppose 4*c - 10 = -2. Let w(v) be the second derivative of 2/3*v**3 + 2*v + 0*v**c + 0. Give w(q(t)). -8*t Let z(h) be the second derivative of -h**3/6 - 2*h. Let k(a) be the second derivative of -2*a**3/3 - 65*a - 1. Give z(k(o)). 4*o Let p(g) be the second derivative of -7*g**5/30 + 7*g**3/3 + 4*g. Let q(r) be the second derivative of p(r). Let x(t) = -t. Calculate x(q(o)). 28*o Let t(a) = a**2. Let w(u) = -13097*u. Give t(w(s)). 171531409*s**2 Let k(n) = -10*n**2. Let m(a) = 4*a**2 + 12*a**2 - 2*a**2 + 5*a**2 - a**2. Determine m(k(h)). 1800*h**4 Let c(l) = 2962*l**2. Let d(n) = 17*n**2 - 13. Determine d(c(a)). 149148548*a**4 - 13 Let x(v) = 5*v**2. Let c(f) = -2*f - 3. Let q(a) = -2*a - 2. Suppose 17 - 7 = -5*j. Let i(z) = j*c(z) + 3*q(z). Calculate x(i(k)). 20*k**2 Let w(a) be the second derivative of -11*a**4/12 - 20*a + 4. Let x(p) be the second derivative of -p**3/3 + 2*p. Determine x(w(o)). 22*o**2 Let g(u) = 13*u**2. Let c(a) = 109084*a. Calculate c(g(v)). 1418092*v**2 Let j(g) = -3*g - 1 + 1. Let r(u) = 285*u - 70. Let n(l) = -8*l + 2. Let i(q) = 35*n(q) + r(q). What is j(i(m))? -15*m Let g(y) be the first derivative of 0*y - 54 - 2/3*y**3 + 0*y**2. Let q(w) = 13*w**2. Determine g(q(u)). -338*u**4 Let n(k) = 62*k**2 - 3*k. Let o(z) = 72*z. Calculate n(o(a)). 321408*a**2 - 216*a Let g(w) = 7*w - 7*w + w**2. Let q(f) = 2 - 8 - 2 + 4*f + 8. Determine q(g(l)). 4*l**2 Let t(q) = -3*q**2. Let a(u) = 5*u. Let g(y) = 23 - 23 - 41*y. Let o(n) = 40*a(n) + 5*g(n). Determine t(o(s)). -75*s**2 Let u(y) = 2*y**2. Let t(c) = 12*c - 83. What is u(t(v))? 288*v**2 - 3984*v + 13778 Let f(b) = b. Let m(j) = 2*j + 982. Let c(u) = u + 330. Let s(p) = -8*c(p) + 3*m(p). What is f(s(h))? -2*h + 306 Let z(j) = 4*j. Let n(w) = -63*w + 115. Let d(c) = 32*c - 51. Let o(u) = -9*d(u) - 4*n(u). Give z(o(p)). -144*p - 4 Let h(t) = 0*t - 40*t**2 + 0*t + 51*t**2. Let b(i) = i. Determine b(h(k)). 11*k**2 Let d(i) = 10*i - 5. Let h(z) = 9*z - 4. Let y(o) = -3*d(o) + 2*h(o). Let t(v) = v. Determine y(t(w)). -12*w + 7 Let q(z) = z. Let y(s) = 6*s. Let b(u) = 3*q(u) - y(u). Let p(r) = -362*r + 2 + 360*r + 1 - 3. Give b(p(n)). 6*n Let a(s) = 2*s. Let u(f) be the third derivative of -18*f**2 + 0*f**4 + 0*f**3 + 0 + 0*f + 1/4*f**5. What is a(u(l))? 30*l**2 Let c(y) = 0*y**2 + 5*y**2 - 4*y**2. Let f(u) be the first derivative of -4*u**3/3 - 8*u + 245. Give f(c(o)). -4*o**4 - 8 Let a(n) = -22*n. Let d(r) = 441*r**2 - 81*r. Let q(t) = -11*t**2 + 2*t. Let y(v) = 4*d(v) + 162*q(v). Calculate a(y(c)). 396*c**2 Let m(b) = 5*b**2. Let k(a) = 4*a**2. Let i(n) = 7*k(n) - 6*m(n). Let f(y) = -3*y**2 - 3*y + 3*y + 14*y**2 + 6*y**2. What is i(f(g))? -578*g**4 Let v(o) = 2*o. Let r(s) = 1574*s**2. What is v(r(c))? 3148*c**2 Let d(k) = -5*k**2. Let w(r) = -2*r**2 + 29423*r - 3. Give w(d(c)). -50*c**4 - 147115*c**2 - 3 Let t(v) = 1837 + 3*v**2 - 1837. Let n(c) = 332*c. Determine t(n(p)). 330672*p**2 Let a be (-4)/(-14) + ((-515)/(-35) - 5). Let u(z) = -38*z + 10. Let x(k) = k - 1. Let q(l) = a*x(l) + u(l). Let i(c) = 2*c. What is i(q(f))? -56*f Let a = -1 + -4. Let z = a + 10. Let j(h) = h + z*h + h. Let i(y) = 2*y**2. Calculate i(j(o)). 98*o**2 Let m(c) be the third derivative of c**5/5 - 10*c**2 - 5. Let v(b) = -2*b**2. Determine v(m(f)). -288*f**4 Let a(w) = 3*w. Let j = 23 + -21. Let h(k) = 8*k**j + 8*k**2 - 15*k**2. What is a(h(u))? 3*u**2 Let y(s) = 279*s + 2. Let c(x) = 424*x. Give y(c(h)). 118296*h + 2 Let u(j) = 34*j**2 + 6*j. Let z(l) = -23*l. Let p(t) = -19*t. Let r(b) = 6*p(b) - 5*z(b). What is r(u(g))? 34*g**2 + 6*g Let z(b) = 3*b + b + b. Let n(r) be the first derivative of -13*r**3/3 - 105. Calculate n(z(u)). -325*u**2 Let k(g) = 18*g. Let p(a) = 6*a. Let y(z) = -5*z. Let l(s) = -4*p(s) - 5*y(s). Calculate k(l(u)). 18*u Let z(h) be the first derivative of -h**2/2 + 9*h + 2. Let q(y) = -3*y + 2*y - 4 + 4. Determine q(z(u)). u - 9 Let y(c) = c**2. Let p(r) = 218 - 97*r**2 - 218. What is y(p(m))? 9409*m**4 Let y(u) = -2*u - 57. Let h(c) = 133*c**2 + 3*c + 2. What is h(y(v))? 532*v**2 + 30318*v + 431948 Let i(s) = -16*s. Let a(z) = -9*z**2 - 7*z. Let l(c) = -c. Let v(r) = -5*r**2 - 8*r. Let x(j) = 4*l(j) - v(j). Let b(n) = -4*a(n) - 7*x(n). Give b(i(k)). 256*k**2 Let z(j) be the third derivative of 0 - 1/6*j**4 + 0*j + 21*j**2 + 0*j**3. Let l(v) = v**2. What is z(l(o))? -4*o**2 Let i(b) = -b. Let z(d) = -3537*d**2 - 5. What is i(z(j))? 3537*j**2 + 5 Let c(i) = 2*i. Let x(v) = -5*v**2 - v - 2. Let t(f) = -2*f**2 + f + 2. Let g(k) = t(k) + x(k). What is c(g(j))? -14*j**2 Let h be (35/(-56))/(-5) + 1615/8. Let u(x) = h*x + 207*x - 404*x. Let y(d) = -22*d. Give y(u(j)). -110*j Let q(f) = -51005*f + 51005*f - 3*f**2. Let o(b) be the second derivative of -5*b**4/4 + b. Determine o(q(i)). -135*i**4 Let r(n) = 9 - 3*n + 11 - 20. Let w(a) = -a**2. Let j(m) = m**2. Let v(y) = 4*j(y) + 3*w(y). Calculate r(v(q)). -3*q**2 Let y(u) be the first derivative of -u**3/3 + 16. Let p(s) = -3*s**2 + 2*s + 2. Let m(q) = -5*q**2 + 5*q + 5. Let n(o) = -2*m(o) + 5*p(o). Calculate n(y(x)). -5*x**4 Let u(i) be the third derivative of -i**4/24 - i**2. Let j(l) = -7*l**2 - 5*l - 5. Let r(h) = 4*h**2 + 3*h + 3. Let w(v) = -3*j(v) - 5*r(v). Give w(u(s)). s**2 Let r(n) = n**2 - 2*n. Let q(h) = 2172*h**2 - 5068*h. Let s(i) = -2*q(i) + 5068*r(i). Let a(d) = -2*d**2. Determine a(s(y)). -1048352*y**4 Suppose 5*l + 40 = 2*u - 2, -l = 0. Let j be 98/u - 2/3. Let m(q) = 6*q - 7*q + j*q. Let b(g) = -4*g**2. Give m(b(a)). -12*a**2 Let b(v) = 3*v**2. Let c(m) = -37 + 12*m**2 + 119 - 37 - 42. What is b(c(k))? 432*k**4 + 216*k**2
{ "pile_set_name": "DM Mathematics" }
ltiple of 23? True Does 71 divide 14211715? True Does 26 divide 470295? False Is 21049 a multiple of 7? True Is 27 a factor of 289278? True Is 199 a factor of 432626? True Is 105 a factor of 434515? False Does 27 divide 169614? True Is 128 a factor of 499738? False Does 228 divide 1392298? False Is 814960 a multiple of 2? True Does 625 divide 2588037? False Does 21 divide 226737? True Is 7 a factor of 229888? False Does 80 divide 46731? False Does 189 divide 3417990? False Is 291 a factor of 490917? True Does 34 divide 66803? False Is 4675 even? False Is 5284800 a multiple of 180? True Is 1178748 a multiple of 411? True Is 145 a factor of 644090? True Is 54634 a multiple of 463? True Does 92 divide 130320? False Does 19 divide 72371? True Is 93 a factor of 2139? True Does 44 divide 239194? False Does 121 divide 60137? True Is 10 a factor of 289700? True Is 134 a factor of 3150057? False Is 28 a factor of 20107024? True Is 1608997 a multiple of 793? True Is 2 a factor of 583049? False Is 42409 a multiple of 16? False Is 315 a factor of 933544? False Is 179 a factor of 3222? True Is 1221693 a multiple of 7? False Is 37 a factor of 113812? True Is 14 a factor of 3222646? True Is 200 a factor of 1753200? True Is 143977 a multiple of 10? False Is 143 a factor of 85085? True Is 38 a factor of 335502? True Is 16 a factor of 2598823? False Does 13 divide 281411? True Does 86 divide 1311469? False Is 206 a factor of 1380505? False Is 6557183 a multiple of 30? False Is 776 a factor of 533888? True Does 44 divide 722691? False Does 37 divide 142180? False Is 54 a factor of 95688? True Does 294 divide 223440? True Does 447 divide 1520626? False Is 7 a factor of 75660? False Is 83 a factor of 4482? True Does 6 divide 2092944? True Is 22 a factor of 490982? False Is 12 a factor of 377818? False Is 8852064 a multiple of 312? True Is 14 a factor of 378714? True Is 29574 a multiple of 53? True Is 1161474 a multiple of 51? True Is 108 a factor of 216630? False Is 544986 a multiple of 296? False Is 5 a factor of 25664? False Does 61 divide 631566? False Does 33 divide 2217251? False Is 76153 a multiple of 43? True Does 927 divide 8482977? True Is 98 a factor of 25782? False Is 387168 a multiple of 327? True Is 89 a factor of 1650594? True Is 154 a factor of 131054? True Is 32006 a multiple of 20? False Is 17646771 a multiple of 263? False Does 4 divide 4277148? True Is 104100 a multiple of 100? True Is 104797 a multiple of 7? True Is 8 a factor of 821944? True Does 8 divide 7508? False Does 21 divide 302106? True Is 9637310 a multiple of 10? True Is 64141 a multiple of 14? False Does 7 divide 5605? False Is 33 a factor of 367801? False Is 237472 a multiple of 16? True Is 835927 a multiple of 13? False Does 159 divide 812834? False Is 15 a factor of 583095? True Does 8 divide 1492077? False Does 412 divide 1011048? True Does 20 divide 255778? False Does 688 divide 2112848? True Is 2622459 a multiple of 174? False Is 799116 a multiple of 14? False Is 130 a factor of 6030593? False Is 187661 a multiple of 38? False Does 815 divide 5086415? True Does 26 divide 246116? True Is 5 a factor of 8781951? False Does 60 divide 31488? False Does 30 divide 900150? True Does 32 divide 241888? True Is 8272260 a multiple of 200? False Is 656 a factor of 2779825? False Is 3481056 a multiple of 288? True Does 97 divide 1002495? True Is 559825 a multiple of 245? True Does 166 divide 3773346? True Does 17 divide 122984? False Is 775755 a multiple of 5? True Is 4 a factor of 203174? False Is 13 a factor of 798573? False Does 31 divide 94054? True Does 26 divide 9614657? False Is 7 a factor of 2293537? False Does 9 divide 1257831? True Does 310 divide 343170? True Is 666094 a multiple of 274? True Is 84 a factor of 588? True Is 119 a factor of 1194340? False Does 11 divide 1599209? False Does 698 divide 21645914? False Does 14 divide 8945098? False Does 49 divide 381465? True Is 13500 a multiple of 50? True Does 38 divide 19266? True Is 16286030 a multiple of 51? False Is 12 a factor of 93984? True Is 20 a factor of 9317600? True Is 2409 a multiple of 73? True Does 80 divide 5674706? False Is 86301 a multiple of 387? True Is 752 a factor of 1942474? False Does 11 divide 110227? False Is 18 a factor of 19192230? True Does 32 divide 10610304? True Is 12 a factor of 62697? False Does 230 divide 120060? True Is 170568 a multiple of 3? True Does 107 divide 3066941? True Is 119 a factor of 65581? False Does 33 divide 2692602? True Is 5 a factor of 2113873? False Is 68 a factor of 6542053? False Is 30236 a multiple of 4? True Is 57 a factor of 17613? True Is 117 a factor of 4366440? True Is 245928 a multiple of 8? True Is 237310 a multiple of 55? False Is 141 a factor of 1751502? True Is 10086246 a multiple of 519? True Does 5 divide 35616? False Is 267066 a multiple of 209? False Is 239556 a multiple of 103? False Is 88 a factor of 1126400? True Is 591336 a multiple of 573? True Does 760 divide 233349? False Is 180096 a multiple of 134? True Is 101925 a multiple of 225? True Does 40 divide 977894? False Is 155 a factor of 22259085? True Is 440380 a multiple of 97? True Does 666 divide 356976? True Is 38 a factor of 227154? False Is 357720 a multiple of 120? True Is 3 a factor of 66706? False Is 353 a factor of 2271202? True Is 3 a factor of 126366? True Is 1089597 a multiple of 95? False Is 221591 a multiple of 5? False Does 63 divide 2103948? True Is 15 a factor of 42435? True Does 12 divide 88425? False Is 196 a factor of 328675? False Is 15993342 a multiple of 55? False Is 18 a factor of 1642619? False Is 4876098 a multiple of 6? True Is 22 a factor of 11107660? False Does 8 divide 3480? True Is 476159 a multiple of 361? True Does 617 divide 2374151? False Is 33 a factor of 740245? False Is 41136 a multiple of 12? True Is 1302 a factor of 3445092? True Is 19 a factor of 140923? True Does 22 divide 745788? False Is 200 a factor of 57800? True Is 56611 a multiple of 2? False Does 14 divide 235578? True Does 39 divide 51144? False Is 6584047 a multiple of 16? False Is 11 a factor of 287725? False Does 489 divide 2700219? False Is 108036 a multiple of 129? False Does 122 divide 199589? False Is 10496108 a multiple of 673? True Is 1672359 a multiple of 39? True Is 608 a factor of 251712? True Is 34 a factor of 287130? True Is 50 a factor of 20862? False Is 12 a factor of 418103? False Does 190 divide 48830? True Is 46 a factor of 1623493? False Is 18515566 a multiple of 176? False Does 31 divide 311873? False Is 4109693 a multiple of 8? False Does 256 divide 1416108? False Is 1011633 a multiple of 22? False Is 251762 a multiple of 49? True Is 3 a factor of 58429? False Is 118 a factor of 240012? True Does 42 divide 414456? True Does 5 divide 20787? False Does 152 divide 41040? True Is 154 a factor of 13960408? True Does 6 divide 3915? False Is 9 a factor of 1880095? False Does 9 divide 25690784? False Does 149 divide 554280? True Does 629 divide 3888006? False Is 210 a factor of 693655? False Is 12 a factor of 103597? False Is 14 a factor of 49531? False Is 91807 a multiple of 200? False Does 21 divide 317983? False Does 9 divide 362046? False Is 10 a factor of 3312281? False Is 403512 a multiple of 86? True Is 254 a factor of 33020? True Is 137 a factor of 60554? True Is 149288 a multiple of 8? True Does 29 divide 15202583? True Does 2 divide 76347? False Is 1998994 even? True Does 833 divide 1825936? True Is 42 a factor of 417354? True Does 39 divide 22330? False Does 9 divide 34557? False Is 113 a factor of 364764? True Is 774 a factor of 9139808? False Is 16 a factor of 477216? True Is 104 a factor of 13754? False Is 294 a factor of 136040? False Is 50692 a multiple of 199? False Is 3408866 a multiple of 56? False Is 299164 a multiple of 61? False Is 798275 a multiple of 45? False Is 202 a factor of 7204734? True Does 127 divide 375031? True Does 6 divide 439363? False Is 629 a factor of 961112? True Is 111 a factor of 1727025? False Does 111 divide 201050? False Is 124936 a multiple of 56? True Is 258 a factor of 11034402? True Is 21 a factor of 88640? False Does 649 divide 1739320? True Does 8 divide 290870? False Is 464800 a multiple of 14? True Does 19 divide 8881170? True Is 474
{ "pile_set_name": "DM Mathematics" }
olve -4*i - l - 8 = 0, 3*i + 0 = 5*l + 17 for i. -1 Solve -5*y - 4*t = 35, 9 - 24 = 3*t for y. -3 Solve -o = 4*z - 20, 4*o + 3*z + 0*z = 28 for o. 4 Solve -p - 15 = -5*b, 2*p - 5*b + 15 = 6*p for p. 0 Solve -2*w + 3*b = 17, 5*b - 5 = 10 for w. -4 Solve 0 = q + 2*c - 67 + 60, 2*q + 3*c - 12 = 0 for q. 3 Solve 5*h = 25, -6*k - 4*h + 10 = -11*k for k. 2 Solve 0 = -3*v + 4*g - 15, -2*g - 8 = -v - 5*g for v. -1 Solve 9*d - 10*d - 21 = -5*v, -5*d + 5 = -3*v for v. 5 Solve -2*x + 4 = 5*f + 15, 5*f + 15 = 0 for x. 2 Solve 0 = 4*i + 3*j - 32, -581*i + 2*j = -585*i + 28 for i. 5 Solve 4*p - 7 = -2*g - 25, 0 = 2*p + 5*g + 5 for p. -5 Solve 2*p + 16 = 3*i, -2*i + 6*i - 5*p = 26 for i. 4 Solve -5*b = 3*d - 1, 0*d - 2 = 2*d + 4*b for d. 7 Solve 0 = 5*q + 4*k + 19, 2*k = 2*q - 1 + 5 for q. -3 Solve 0 = -2*z + 3*n + 6, z - 5*n - 12 = -3*z for z. 3 Solve 52*o - 4*i - 8 = 49*o, 0 = 4*i - 16 for o. 8 Solve 2*t + 3*f - 6 = 0, 3*t - 4 - 7 = -5*f for t. -3 Solve q + 4 = 4*y + 8, -2*y - 16 = 3*q for y. -2 Solve l + 0*b + 2*b + 1 = 0, -2 = -b for l. -5 Solve 3*j + 4 - 19 = 3*i, -16 = 2*i - 5*j for i. -3 Solve 4*v + w = -3, 0 = 2*v + w + 4 - 5 for v. -2 Solve -15 = -4*n - d - 20, -5*n + 4*d - 1 = 0 for n. -1 Solve -3 = 3*b - 4*n, 2*b = -0*b - 4*n - 2 for b. -1 Solve 12 = -4*m + 3*k, -3*m - k - 12 = -3 for m. -3 Solve -2*r + 2*a = -1 + 3, 2*r + 2*a = 10 for r. 2 Solve m + 4*b + 4 = 0, 5*m = -b + 8 - 9 for m. 0 Solve 3*i + 31 - 14 = -4*s, -5*i = -5*s - 30 for s. -5 Solve -y = -3*x + 5, y + 2*x = -3*x + 19 for y. 4 Solve -f - 5*m - 31 = -5*f, 0 = f - m - 7 for f. 4 Solve 4*q = 4*z + 28, 47*q - 52*q + 3 = 3*z for z. -4 Solve 2*l = 3*l + 2*b, 3*l = 2*b - 16 for l. -4 Solve -3*p + 3*k = k, 0 = 2*p - 3*k for p. 0 Solve -3*l = -l + 8, -4*f - l + 12 = 0 for f. 4 Solve 8 = 2*k + 4*l, 5*l + 5 = 6*k - k for k. 2 Solve k - 2 = a, -k + 28 = -5*k - 5*a for k. -2 Solve -3*i - 5*p = 8, 2*p + 0 = -5*i + 12 for i. 4 Solve -4*n - 18 = -2*c, 8 = -5*n - 2*c - 1 for n. -3 Solve t - 6 = -2*t, 4*t - 14 = -2*v for v. 3 Solve -4*b - 308 = -j - 305, j - 3 = 2*b for b. 0 Solve 4*f = 3*c + 28, -3*f - 8 = 5*c - 0*c for f. 4 Solve -14 = -4*r - k, -3*r = -2*r + k - 5 for r. 3 Solve -2*m + 4*h = 20, 3*m + m + 16 = 2*h for m. -2 Solve -4*d + 19 = -5*w + 7, 0 = -2*d - 2*w + 6 for d. 3 Solve -w + 11 = -4*k - 0*w, -2*k = -2*w + 4 for k. -3 Solve 4*j - 6 = -3*c + 7*j, -j = 5*c + 8 for c. -1 Solve 0 = -3*c - 5*i - 13, c + 6*i + 16 = 2*i for c. 4 Solve 2*z + 3 = b, -4*b = 44*z - 42*z + 28 for b. -5 Solve -4*g = -7*v + 2*v, 4*g = v - 16 for v. -4 Solve -5*c + 50 = -5*d, 3*d = -7*c + 4*c + 6 for c. 6 Solve 0 = 5*b + 5*f - 3*f + 13, -5*b - 5*f - 25 = 0 for b. -1 Solve -p - 14 = -3*r, -5*r = -p - 2*p - 26 for r. 4 Solve -k = 5, -4*k = 2*d - 5*d + 11 for d. -3 Solve -4*d + h - 19 = 0, -5*d + h = 6 + 18 for d. -5 Solve -5*b - 20 = -t, 8*t - 24 = 3*b + 5*t for b. -3 Solve 2*v - 4 = -5*z - 10, -3*z + 3 = -v for v. -3 Solve 5*r - 35 = 14*v - 9*v, 25 = -4*v + 3*r for v. -4 Solve f - 16 = -3*l, 3*l - 4 = 5*f - 12 for l. 4 Solve 4*f - 2 = 5*v, -39*v + 2 = -3*f - 37*v for f. -2 Solve 7*x = 2*x - 5, -16 = -3*y + 4*x for y. 4 Solve b = 5*x + 2, 5 = -3*b - 3*x - 7 for b. -3 Solve 0 = -3*y - 2*w + 23, -2*y + 3*y + 11 = 4*w for y. 5 Solve 4*t - 22*g = -27*g + 25, -3*t = -5*g - 10 for t. 5 Solve 23 = -2*u + 5*g, u + 4*g - 21 = -0*u for u. 1 Solve -2*a - 12 = -2*c - 10, a = -3*c + 19 for c. 5 Solve 5*d - m = -4, -81*m = 4*d - 82*m + 3 for d. -1 Solve -y + 19 = 4*a, -2 - 13 = -5*y for a. 4 Solve -3*j = 2*q - 4*j, 4*j - 20 = -2*q for q. 2 Solve -5*u - 25 + 1 = -r, 0 = -3*u - 3*r for u. -4 Solve 5*j + 6 = 3*k, 3*j + 2*k - 4 = -j for j. 0 Solve -2*h - a = 13 - 6, 2*h + 3 = 3*a for h. -3 Solve 5*p = 3*z - 20, 0 = z - 2*p - 10 + 2 for z. 0 Solve 0 = -2*z + 4*d - 20, -4*z + 3*d - 31 = -2*d for z. -4 Solve 3*l - 4*i + 12 = -2*l, -2*l + 3*i = 2 for l. -4 Solve 2*b + 4 = -3*z, -2*b = z + 2*b - 2 for z. -2 Solve -2*d = 4*h - 6 - 0, 3*d = 3*h + 9 for h. 0 Solve 5*s - 13 = 3*b, -2*b + 7 = -1 for s. 5 Solve o + 15 = 4*f, -21*o + 26*o + f = 30 for o. 5 Solve 2*b + 10 = 5*u, 0 = -b - 54*u + 50*u + 8 for b. 0 Solve 2*z = s - 1, -2*z + 5*z = 5*s - 5 for s. 1 Solve 2*o - 21*t = -25*t + 20, 3*o - 2*t = 6 for o. 4 Solve v - 4 = 0, 3*r - 4*v + 0*v + 1 = 0 for r. 5 Solve 3*m + 24 = 4*t, -4*m = -13*t + 11*t + 22 for t. 3 Solve -2*b + 3*b + 3*t = -8, -3*t - 13 = -4*b for b. 1 Solve -2*a - 10 = 0, 0 = 5*y + 3*a - 7*a for y. -4 Solve 23 - 26 = -q + 2*w, 4 = -4*q + 4*w for q. -5 Solve 4*g = -r + 4, 0 = r - 0*r for g. 1 Solve 401*g - 396*g - 5*q - 30 = 0, 2*q = -4 for g. 4 Solve -2*a + 8 = -4*l, -10*a - 8 = -12*a - l for a. 4 Solve -23 = -o - 28, -4*o = -c + 17 for c. -3 Solve -19*l + 20*l + 2 = 0, -2*q - 2*l + 8 = 0 for q. 6 Solve -4*i - 23 = -s, -168*i + 171*i - 4*s + 27 = 0 for i. -5 Solve 10*y - 7*y + 2*n = -11, -14 = 2*y + 3*n for y. -1 Solve 0 = -2*v + 4*o - 8, -2*v - 4*o + 8 = -3*v for v. 0 Solve -r - 2 = -5*z, 0 = z + 12*r - 15*r - 6 for z. 0 Solve 0 = 5*h - 3*x + 19 - 3, -13 = 5*h - 4*x for h. -5 Solve -5*u + 50 = 40, 0 = 2*j + 2*u - 4 for j. 0 Solve x - 4*g - 15 = 0, g = 2*x + 4 + 1 for x. -5 Solve -3*w - 13 = -0*w - 2*a, 4*w - a = -19 for w. -5 Solve 17*y = 14*y - 4*f - 16, 2*y - 4*f - 16 = 0 for y. 0 Solve -3*q - 225 = -2*b - 242, -29 = -5*q + 4*b for q. 5 Solve c + 8*x = 4*x - 4, 4 = -c + 4*x for c. -4 Solve 3*h = 4*h - 5*d - 4, 3*h = -4*d + 12 for h. 4 Solve 5*y + 3*p + 6 = 0, 2*y + 2*y = 4*p - 24 for y. -3 Solve b - 4 + 6 = 5*x, 2*x - 6 = 3*b for x. 0 Solve 0 = 4*j - 3*g + 32, 0 = 2*j - g + 4*g - 2 for j. -5 Solve -2*s = 5*y + 35, 4*s = 4*y - y - 5 for y. -5 Solve 2*t - 3 = d - 18, -33 = 4*t - 5*d for t. -7 Solve 2*w + 5*j = 16 - 0, j = 3*w + 10 for w. -2 Solve -g = -w, 5*w - 3*g - 15 + 7 = 0 for w. 4 Solve 4*z = -18 + 22, -4*k - z + 17 = 0 for k. 4 Solve 0 = -3*b + 3*v - 15, b = -0*b - 4*v + 10 for b. -2 Solve v - 20 = -y - 3*v, -v - 8 = -3*y for y. 4 Solve 17*t + 5 = p + 15*t, -1 = -3*p - t for p. 1 Solve -3*z + 20 = -2*r, 8*r - 12*r - 20 = -z for r. -4 Solve 3 = 4*w + 3*h, -9 = -3*w - 3*h - 3 for w. -3 Solve 4*n - 4*m + 1 - 5 = 0, -3*n - 1 = -2*m for n. -3 Solve 0 = 25*x - 28*x + r - 11, -x - 3*r = 17 for x. -5 Solve 4*m - 51*f + 49*f - 18 = 0, -3 = -3*m - 2*f for m. 3 Solve -l + 9 = -2*h - 1, 7*l - 50 = 4*h for l. 6 Solve s + 2*d = -2, -4*d + 3 = -s - 5 for s. -4 Solve 5*f + r - 6*r + 25 = 0, -5*f - 2*r = -17 for f. 1 Solve -4*c - 6 = -2*n, n + 23 = -2*c - 2*n for c. -4 Solve 5*t = -n - 7 + 28, -4*n - 4*t + 4 = 0 for n. -4 Solve -2*c + 15 = 5*w, 6 = -2*c - 3*w + 19 for c. 5 Solve -24 = -5*p + 3*y, 6*p - 2*y - 21 = p for p. 3 Solve -2*j - 23 = -2*r - 7, -j = -5*r + 20 for r. 3 Solve 4*x - q + 3 = 5*x, -3*x - 4*q = -7 for x. 5 Solve -2*j = -t - 5, -3*t - 13 = -12*j + 7*j for t. -1 Solve 2*m = -3*v - 6, 5*v - 11 = 3*m - 2 for v. 0 Solve -2 = x - o, -4*x = -12*o + 11*o + 14 for x. -4 Solve 30 = -3*m - 69*k + 66*k, -3*m + 2*k = 5 for m. -5 Solve 0*w = 3*f + 2*w - 12, 12 = 3*f - w for f. 4 Solve -5*d + 5 = -5*v, 4*v = -3*d + 6*d - 8 for d. -4 Solve v - 5*d - 11 = 4*v, d = v - 7 for v. 3 Solve 3 = -4*i + 5*f - 9, 0 = -4*i - f + 12 for i. 2 Solve -b + 5*r = -7, 0 = -b + r - 5*r - 11 for b. -3 Solve -4*j + 13 = -3*v, -6 = -j - 2*v - 0*v for j. 4 Solve 3*g - p - 1 = 0, -3*p = 4*g + 2*p - 14 for g. 1 Solve 3*g = -j - 15, -5*j + 4*g - 3 = g for j. -3 Solve -2*q + 11 = 5*s, q + 15 = 5*s + 13 for s. 1 Solve -5*f - 16 = 2*t, -4*t + f - 18 = 4*f for t. -3 Solve 3*o - 24 = -6*g - 9, 0 = -2*g + 5*o + 23 for g. 4 Solve -11 = 5*q + w, -3*q = -2*w + 11 - 7 for q. -2 Solve -2*r = -5*o - 26, -126*r + 128*r - 6 = 0 for o. -4 Solve o - v = 6, 5*o + 4*v - 4 = -46 for o. -2 Solve 3*l + 5 = -4*b, -7*b - 2*l = -10*b - 25 for b. -5 Solve -3*o + 19 = 4*r, r - 9 = -5*o - 0*r for o. 1 Solve -5*u - 4*w = 16, 20 = -3*u - u + 4*w for u. -4 Solve 0 = -2*g - 3*y - 4, 0*g = -3*g - 3*y - 6 for g. -2 Solve -j = -h + 4, 5*j - 3*h + 5 = -17 for j. -5 Solve 3*n - 22 = -4*t, -21*n + 17*n - 3*t = -20 for n. 2 Solve 2*i = t - 14, -8 = -0*t + 3*t + 4*i for t. 4 Solve 4 = j + 2*w, -39*w + 44*w = -5*j for j. -4 Solve -13 = -3*o - 4*q - 29, -q - 4 = -4*o for o. 0 Solve 57*f - 10 = 59*f - 3*b, -8 = -4*f - b for f. 1 Solve 0 = -3*h - 3*p - 3, 3*h - 5*p = -p + 18 for h. 2 Solve -4*i =
{ "pile_set_name": "DM Mathematics" }
4*p + 28, j - 11*p = -i*p - 13 for j. -4 Suppose 892 = 4*n + t - 5*t, 3*n = -t + 677. Let m = -220 + n. Solve o = -4*o - m*h + 15, -o - 4*h + 3 = 0 for o. 3 Let b be 1/(-5) - 224/(-20). Let m(v) = -v**3 + 12*v**2 - 12*v + 12. Let a be m(b). Solve 0 = -4*r - 4*j + 8, 5*r - a = -3*j + 3 for r. -1 Let r = 438 - 259. Suppose -r*x + 181*x = 14. Suppose 211 = x*c + 1. Solve 2*d = 5*y - c + 3, 0 = -4*d - 3*y + 11 for d. -1 Suppose -2*g + 10 = 2. Let a(s) = -22*s - 616. Let t be a(-28). Solve -5*i - g*h + 6 = t, -5*h = -i - h + 6 for i. 2 Let v be (41/(-82))/(2/(-4)). Let m be (v - 24/18)*0. Solve -2*j - 12 = -3*z - 1, 2*z - 2 = m for j. -4 Let s be (0/(-13) - -2) + 2. Solve 10 = -5*l, -s*l - 17 = 3*r - 6*r for r. 3 Let m = 1221 - 1217. Solve 5*g = 3*h - 16, 3*g - m*h = -5*h - 18 for g. -5 Let p(d) = -d**3 + 7*d**2 + 36*d - 39. Let w = 619 + -609. Let f be p(w). Solve -f = c - 5*a, 2 = 4*c - 4*a + 6 for c. 4 Let y = 14 + -7. Suppose 0 = -84*i + 29272 - 460. Let c = i - 343. Solve 4*m - 4 = 0, c*h + 2*h - 5*m + y = 0 for h. -1 Suppose 0 = -2*z, -61*z + 62*z = 3*d. Suppose -4*c + 4 = -4. Suppose 3*y = 5*m - 0*m - 5, -c*y - 6 = -4*m. Solve s + y = 0, -2*j + d*j + 16 = -2*s for j. 3 Let m = -122 - -68. Let u be (9/(m/(-48)))/2. Solve 2*o + 4*s = 26, 2*o = o + u*s - 11 for o. 5 Let n(t) = t - 3. Let q be n(0). Let c(a) = -2*a + 13. Let v be c(-27). Let h be (-8)/6 - v/q. Solve b - 2*b + 3*i - 12 = 0, 4*i = 3*b + h for b. -3 Let g be 1472/(-208) + (-2)/(-26). Let s be 1*6*g/(-21). Solve -s*v = -3*j + j + 6, -5*v = j + 9 for v. -2 Let m be (6688/133 - (-2)/(-7)) + -4. Let y = 53 - m. Solve 2*q = s + 8, -4*q + 3*s = -11 - y for q. 3 Let u = -32058 - -32147. Solve -2*q - u = 4*a - 101, a + 4*q - 17 = 0 for a. 1 Let k be (135/(-30))/(-1 - (-2)/4). Let n be (k/12)/((-4)/(-32)). Solve 3*h - h + 5*y + 12 = 0, y + n = -4*h for h. -1 Let y = -96 - -55. Let j = 46 + y. Let z = 5 - j. Solve w - 3*r - 5 = z, -3*w + 3*r - r = -8 for w. 2 Let o = 4076 - 4054. Solve 26*i - o*i + 20 = -f, 5*f = -i - 24 for f. -4 Let s(i) = i**3 + i**2 + 2*i - 28. Let v be s(0). Let q be (8/v - 0) + (-48)/(-21). Solve 0 = z - 2*l - 5, 0 = -l - q*l for z. 5 Let h be (0/(1*2/(-4)*10))/1. Solve -3*r = -5*f - 31 + 26, h = 5*f + 3*r + 5 for f. -1 Let r(y) = y**2 - 5*y - 2. Let w be r(5). Let f be (-12)/(-2) - (-2)/w. Let m = 617 - 617. Solve 2*h - 3*i = -8*i - 30, m = 4*h + f*i + 40 for h. -5 Suppose 2*z - y = -z + 67, 0 = 2*z + 4*y - 40. Suppose q + 13*k + 10 = 18*k, -5*q + k + z = 0. Solve -4*o - 20 = -3*p, q*o - 4*p = -0*p - 26 for o. -2 Let y(b) = 2*b**2 + 10*b + 2. Let g be y(-5). Solve -14 = 4*t - 3*k, g*k - 5 = -4*t - 29 for t. -5 Let k(b) = 1. Let z(v) = -2*v - 2. Let r(l) = -6*k(l) + z(l). Let d be r(-6). Let i be 40/(2440/61)*(-3)/6*-6. Solve -i = 3*u + o + 3*o, -4*u - d = 3*o for u. -1 Suppose -2*w - p = -43, -3*p + 61 = -39*w + 41*w. Solve -11*n + 7*n - w = -g, 3*n - 5*g + 34 = 0 for n. -3 Let r be -1 + 1/(1/3). Let m(o) = o**3 - 23*o**2 - 16*o + 10. Let f be m(-1). Solve 2*z = -r*p - 4, -f*z - z = -p + 10 for z. -3 Let v(r) = r**3 + 12*r**2 - 28*r + 3. Let t be v(2). Solve 4*m + 4*y = 0, -t*y + 7 + 21 = -4*m for m. -4 Suppose 13*v + 866 = 905. Solve -2*g + 2 = -5*z, -20*z - v = -3*g - 22*z for g. 1 Let r = 243 + -393. Let h = r + 154. Suppose 0 = 4*i - i - 9. Solve -2*u + 3*b + h = 0, -1 + i = -b for u. -1 Let p be (-1)/((-225)/20 + 11). Solve 0 = p*f - 17 + 5, -2*z - 9 = -5*f for z. 3 Let y be -4*(-4 + 5) + (1 - -6). Suppose 8*l - q - 39 = 4*l, -y*q - 27 = -3*l. Solve -t = -2*m - 1 + 4, 3*t - 5*m = -l for t. -5 Suppose 0 = c - 3*p + 11, -11 - 34 = -5*c - 5*p. Solve -3*j + c*v = 23, -2*j + 2*v = -6*j - 16 for j. -5 Let t(n) = -n**3 - 14*n**2 + 38*n + 70. Let j be t(-17). Let w = j - 275. Solve -k + z + 2 = 0, 5*z = 3*k - w - 0 for k. -3 Let q = 142 - 137. Suppose 22 = 4*v + s - 2*s, -q*v + 5*s + 35 = 0. Let z be v*(4 - (-1 + 1) - 3). Solve 0 = -5*g - 3*m - m + 14, z*m + 3 = 4*g for g. 2 Let t(v) = 3*v + 12. Let l be t(-3). Solve 2*k - 26*j = -27*j + l, 15 = 5*k + 5*j for k. 0 Let v = 188 - -216. Let f = 409 - v. Solve 0 = 4*h - 3*o - 32, f*o - 4 - 1 = -5*h for h. 5 Let o be 250/20*(-1 - -3). Suppose 3*n + 15 = 2*g + 4*n, 5*n = 3*g + 10. Solve o = g*f - 5*b, 2*b + 0*b = -6 for f. 2 Let u(s) = 1385*s - 6920. Let i be u(5). Solve 0 = -4*r - i*v + 15, 31*r - 30*r = -3*v + 2 for r. 5 Suppose -q = 3*b - 74, 3*b = -5*q + 271 + 123. Suppose 2*s = 4*s - 98. Let a = q - s. Solve 0 = -5*g + 3*z + a, 3*z = 3*g - 4*g - 1 for g. 5 Let m be (54/36)/((-2)/(-3 - 1)). Let w(k) = k**3 - 9*k**2 - 13*k - 3. Let a be w(10). Let f = -30 - a. Solve 0 = 2*y + 2*j - m*j, 0 = f*y - 3*j - 3 for y. -1 Suppose 3*f - 5*f + 2 = -4*a, 4*f - a - 11 = 0. Let z = 15974 + -15970. Solve -3*q = 3*p + 15, -13 + 29 = -f*q - z*p for q. -4 Let u be (-200 + (-15)/5)*(-3 - (-60)/21). Solve 31*l + k = u*l - 2, -5*k + 20 = 0 for l. -3 Suppose 0 = -4*h + 364 + 12. Let s be h/18 + (-40)/180. Solve 0 = 4*m - s*w + 18, 0 = -0*w + w - 2 for m. -2 Suppose -133 = -4*j - 2*r + 97, -r = 3*j - 171. Solve 0 = -5*f - 5*v + 25, -f - 54*v = -j*v - 2 for f. 4 Suppose 5*l = f + 17, 0 = -43*l + 41*l + f + 8. Solve m - v = 0, l*m - 8*m + 6 = v for m. 1 Suppose 625 = -2*f + t, 2*f + 637 = -0*f + 5*t. Let k = f + 314. Solve 3*z - 7 = k*o + 2, 4*o = 5*z - 16 for z. 4 Suppose -41*x + 210 = x. Suppose -12 + 18 = 3*w. Suppose w*s = -0*s, 0 = -4*q - 5*s + 12. Solve -5*m - 20 = -k, q*m = 6*m + x*k + 12 for m. -4 Let j(k) = k**3 - k + 66. Let p be j(0). Let u(o) = o**2 - 4*o + 38. Let x be u(8). Let h = x - p. Solve 0*l - h*y - 16 = 2*l, 0 = -5*l + 4*y + 2 for l. -2 Suppose 4*u - 7 = 1. Suppose 5*k - 5 = 0, -k - 1 = -u*x - 6. Let g = x - -33. Solve -5*t - g = -s + 4*s, 4*s + 5*t = -33 for s. -2 Let m = 2553 - 2548. Solve -3*u - 17 = 5*l, m*l + 0*u - 3*u - 7 = 0 for l. -1 Suppose -6*k = -11*k + 15. Let o be 1 + -2 + 0 - -5. Suppose 0 = 4*d - 2*d, -52 = -o*p + 5*d. Solve -x - 3*x - k*u - 3 = 0, 5*u + p = -4*x for x. 3 Let o(w) = -w**2 + 10*w - 7. Let q be 7 - -4*3/6. Let m be o(q). Let c = 6137 - 6122. Solve -3*p - m*p = -3*u + c, -3*p + 3*u = 15 for p. 0 Suppose 404 = 18*l - 1126. Suppose -3*m - 321 = 4*w, w + 34 + 48 = m. Let o = w + l. Solve o*x - 30 = 2*i, 2*i = -4*x - 5 + 15 for i. -5 Let w(f) = -2*f**3 - 18*f**2 - 11*f - 35. Let k be w(-10). Suppose -276*q + k*q + 4 = 0. Let r = 11 + -4. Solve r = y - 2*l, -q*y = -9*y - 4*l - 7 for y. 1 Let t be 6*(-2)/4 - (-5 + -3). Solve 2*i + 27 = t*j, 12*i + 8 = 14*i for j. 7 Let o be (-14)/(-4) - (-13)/(-26). Suppose 4*p + 3*z + 44 - 13 = 0, 0 = -p - 2*z - 9. Let u = -2 - p. Solve -2*y - 4*m - 14 = 0, -u*y = -4*y - o*m + 2 for y. -5 Suppose -2*x = -y - 125, 3*y + 50 = x - 0*x. Let i = x - 62. Solve -w = -5, 0*h + i*h = -5*w + 37 for h. 4 Suppose -69*i - 75*i + 29*i + 1150 = 0. Solve 8*p - i*p = 3*a - 4, -5*a + 2*p = 4 for a. 0 Suppose -9*f - 816 = -3*f. Let u = f - -136. Solve 4*a + u*p + 28 = 2*p, 3*p + 3 = -3*a for a. -5 Suppose 3*d + 15 = 2*r, 2*d + 9 = -r + 2*r. Suppose -23 = -4*q + r*j, -3*q = 2*j - 1 + 5. Solve -q*p + 5*p - 22 = -4*k, 2*p - 8 = -k for k. 4 Suppose -4*d = -2*d + 2, d - 545 = -2*f. Let m = f - 271. Solve -4*l = g - 5, 3*l - 15 = -m*g + 5*g for l. 2 Let k = 13413 - 13410. Solve k*r + r - n + 13 = 0, -5*r - 15 = -n for r. -2 Let a(i) be the second derivative of i**3 - 68*i**2 - 2*i - 102. Let b be a(23). Solve 2*y = -2*s - 18, -4*y + 2 = -6*y + b*s for y. -5 Suppose 0*y + 2 = 4*y + 3*t, -24 = 4*t. Solve 4 = -5*f + y*r - 11, r + 15 = -5*f for f. -3 Let t(m) = m**3 + 6*m**2 - 19*m - 14. Let g be t(-8). Let h be g/6 + (-1)/(-3). Let i = -7 - -10. Solve -3*l + 5*n + 14 = 0, -h*l + i*n + 16 = -2*n for l. -2 Let s(z) = -z**3 - 4*z**2 + 2*z - 103. Let v be s(-7). Solve v - 26 = -5*w + 4*h, 5*w = -h - 24 for w. -4 Let f be 513/63 + 1/(-7). Suppose -f = 2*m, 2*z = m - 5*m - 10. Solve 3*n + 0 + z = 4*i, n + 1 = 5*i for i. 0 Let b(p) = -38*p - 31. Let f be b(-1). Solve -3*r = -5*y + f, -4*y = 4*r + r + 24 for r. -4 Let n(g) = -2*g**2 - 37*g + 23. Let w(u) = -8*u + 2. Let m be w(-1). Suppose 185 = -m*b - 5. Let z be n(b). Solve -6 = 4*y + 2*j, -2*y + 22 = -0*j - z*j for y. 1 Let o be 21/((-378)/306) - -19. Solve 0 = -h - o*m - 5, -87 = -3*m - 93 for h. -1 Let w be ((16884/(-335))/21)/(12/(-10)). Suppo
{ "pile_set_name": "DM Mathematics" }
at is the units digit of z(q)? 3 What is the hundreds digit of 1329/9*(-18)/(-6)? 4 Suppose 0 = -2*b, 3*b = 2*j + 104 - 706. Suppose -2*u - 4*y = 264, -2*u + 34 - j = 3*y. What is the tens digit of (1 - -1) + u/(-6)? 2 Let t(v) = -28*v - 6. Let o be t(2). Let c = -22 - o. What is the units digit of c? 0 Suppose -309 = 21*a - 24*a. What is the tens digit of a? 0 What is the thousands digit of ((-4)/16)/(51093/25548 - 2)? 2 Let x = 26 + -21. Suppose 325 = x*a - 450. What is the hundreds digit of a? 1 Let q(k) = 13*k**2 - 29*k - 137. What is the hundreds digit of q(-7)? 7 Let g(b) = b**3 + 9*b - 5*b**2 - 3 + 3 - 4*b**2 - 8. Let p be g(8). Suppose -2*j + 95 = 4*m + j, -2*m - 3*j + 55 = p. What is the units digit of m? 0 Let t be 6724/14 - (-34)/(-119). Suppose -2*n + 6*n = t. What is the units digit of n? 0 Suppose -j = -7*j - 54. Let l(k) be the second derivative of -k**5/20 - 2*k**4/3 + 3*k**3/2 + 2*k**2 - k. What is the units digit of l(j)? 4 Let a be (-1)/3*((-255)/3 - 2). Let c(v) = -12*v - 8. Let i be c(-6). Let m = i - a. What is the units digit of m? 5 Let x(r) = 7456*r**3 - r**2 + r - 1. Let o be x(1). What is the units digit of o/39 + (-18)/117? 1 Suppose -4*i = -2*i - 4*o + 12, -4*i - 4*o + 36 = 0. Suppose -i*v = -5 - 11. Suppose v*s - 11 = 45. What is the units digit of s? 4 Let g(i) = -13*i + 18. Let s(m) = -4*m + 6. Let n(x) = -4*g(x) + 11*s(x). Let d be n(2). Let w(f) = 6*f + 5. What is the units digit of w(d)? 5 Suppose 0 = -2*n + 121 - 23. What is the tens digit of n? 4 Let d(o) = o**2 + 10*o + 5. Let u be d(-10). Suppose -u*v + 200 + 110 = 0. Let g = -15 + v. What is the tens digit of g? 4 Let c(x) = 10*x**2 - 249*x - 67. What is the hundreds digit of c(30)? 4 What is the units digit of 2071 + (0 - 2)*1? 9 Let i(d) = 6 + 23*d - 11 - 12. What is the units digit of i(7)? 4 Let t = 2048 - -692. What is the thousands digit of t? 2 Let q be 4 + -5*1/(-5). Suppose -4*u = u + q. What is the units digit of u*(705/3)/(-5)? 7 What is the hundreds digit of (-165)/(-33) + 1153 + -2? 1 Let v(x) = -x - 1. Let c be v(0). What is the hundreds digit of 2/c - (-107 + (-4)/(-4))? 1 Let k(u) = -u**2 - u + 1. Let y(v) = -4*v**2 - 13*v - 6. Let p(j) = -3*k(j) + y(j). What is the units digit of p(-8)? 7 Suppose -3*n - 21 = 3*q - 2*n, 5*n + 17 = -4*q. Let k be (-5)/((4/q)/1). Suppose -m = -0*m - k. What is the units digit of m? 0 Suppose -l = -152 + 43. Let v = -73 + l. What is the tens digit of v? 3 Suppose 5*i = 5*s + 1715, -5*s + 2*s + 706 = 2*i. What is the hundreds digit of i? 3 Let q = -31 + 44. Suppose q*u - 59 = 162. What is the units digit of u? 7 Suppose 0 = 5*q - 5*n - 1645, -4*n = 46*q - 48*q + 668. What is the hundreds digit of q? 3 Let c(w) = -118*w - 131. What is the hundreds digit of c(-7)? 6 Let a be (69/3)/(9/(-135)). What is the tens digit of (a/30)/((-1)/6)? 6 Suppose 0 = -15*h + 12*h + 6. Suppose -3*q - h*q + 275 = 0. What is the tens digit of q? 5 Let w be 6/(-12) - 6/(-4). Let k(y) = 38*y**3 - y + 1. Let f be k(w). Suppose 3*g - 2*q - f = 0, -q + 2*q = -4. What is the units digit of g? 0 Suppose 6 = b + 1. Suppose 4*t + 3 = b*t. Suppose -z + t*u + 2*u = 11, 0 = -4*z + 2*u + 28. What is the units digit of z? 9 Let b(l) be the second derivative of l**6/60 - l**5/40 + l**4/6 + 6*l. Let p(h) be the third derivative of b(h). What is the units digit of p(3)? 3 Let f(z) = -29*z - 27. Let p(n) = -9*n + 42. Let k be p(6). What is the units digit of f(k)? 1 Let x = -29 - -6. Let w = x + 297. What is the hundreds digit of w? 2 Let a(m) = m**3 - 15*m**2 + 2*m - 17. Let o = -26 + 41. What is the units digit of a(o)? 3 Let d = -86 - -72. What is the tens digit of 34/119 - (514/d + 0)? 3 Suppose 5*c - 55 = -4*s, s + 14 = 2*c - 21. What is the units digit of -3 - 40/c*87/(-4)? 5 Suppose -18*m + 15253 = -3647. What is the thousands digit of m? 1 Let t = 19 + -20. Let y(n) = 124*n**2 + 3*n + 1. What is the hundreds digit of y(t)? 1 Let c = -6 + 8. Suppose 0 = p - 11 - c. What is the tens digit of p? 1 Let a(o) be the first derivative of o**3/3 - 5*o**2 + o - 1. Let b(v) = -16*v + 394. Let i be b(24). What is the units digit of a(i)? 1 Let w = 102 + -98. Suppose w*j - l = 6*j - 16, -40 = -4*j - 4*l. What is the units digit of j? 6 Let i = -2101 + 3830. What is the units digit of i? 9 Suppose -z = 4*y + 22, -3*z = -2*z + y + 10. What is the units digit of (4/z)/((-10)/705)? 7 Suppose 3*u = 4*s + 755 - 2842, 2082 = 4*s - 2*u. What is the units digit of s? 8 Suppose -174 = -5*p + 66. Let b = -12 + p. What is the tens digit of b? 3 Suppose -5*s = -18 + 8. Suppose 455 = s*r + 5*r. What is the units digit of r? 5 Suppose -44 + 9 = -7*x. Suppose -a + x*a = 144. What is the units digit of a? 6 Let r(z) = z**2 - 2*z - 11. Let i be r(5). Suppose 2*v + 0*v - 298 = i*b, -2*v + 299 = -5*b. What is the tens digit of v? 4 What is the units digit of (-52)/(-4 - 49/(-14))? 4 What is the units digit of 2/3*6972/28? 6 Suppose 2*r + 1323 = 5*r - 3*l, 0 = r + l - 441. Suppose 8*y - r = y. What is the tens digit of y? 6 Let v(g) = -34*g - 56. What is the tens digit of v(-10)? 8 What is the tens digit of 1/8*-1 - 31085/(-40)? 7 Let q be 2/7 - 52/(-14). Suppose -12 = -2*h - h. Suppose -3*k + 2 = p, -q*p - 9 = -h*k + p. What is the units digit of k? 1 Let h(i) = 3*i - 3. Let m be h(4). What is the units digit of ((-56)/(-12))/(6/m)? 7 Suppose 3*v - 9 + 0 = 0. Suppose -v*k = -k - 78. Suppose -77 - k = -4*y. What is the units digit of y? 9 Let s(w) = -w**3 + 5*w**2 + 9*w - 12. Suppose 4*j = -3*v, 3*j - 3*v - 34 = -13. Suppose -7 - 11 = -5*b - j*d, -5*d = 20. What is the units digit of s(b)? 6 Let q = 647 - -432. What is the tens digit of q? 7 Let k(m) be the first derivative of -68*m**2 - 4. Let y be k(-1). What is the units digit of y/7 - (-18)/(-42)? 9 Let z(s) = -s**3 - 7*s**2 - 6*s + 3. What is the tens digit of z(-15)? 9 Let y = -83 - -92. Let h(n) = n**2 + 12*n - 7. What is the hundreds digit of h(y)? 1 Suppose 36*v + 6110 = 49*v. What is the units digit of v? 0 What is the thousands digit of 6537/2 - 117/26? 3 Let g(f) = f**3 + 13*f**2 + 15*f - 4. Let k be g(-13). Suppose -r = -2*r - 135. Let d = r - k. What is the units digit of d? 4 Let j be (-14)/(-35) - (-23)/5. Suppose -35 = -5*d + 5*b, -d + b - j = -3*d. Suppose 3*i = 2*i - 3, -5*i - 35 = -d*o. What is the units digit of o? 5 Suppose -y = 3*y + 5*u + 4, 6 = y + 3*u. What is the tens digit of ((-45)/y)/(6/40)? 5 Let u be (-1 + 33/(-9))*-12. What is the tens digit of (1 + -3 - u)/(-2)? 2 Let a(r) = -3*r - 2. Let x(c) = -5*c - 5. Let n(u) = -7*a(u) + 4*x(u). Let d be n(9). Let m = d + 3. What is the units digit of m? 6 Let m(o) = -o**3 - 11*o**2 + 12*o + 3. Let l be m(-12). Let r be (-5)/l*-6*2. Suppose -5*n = -r - 135. What is the tens digit of n? 3 Suppose -35 = -v - 5. What is the tens digit of v/(-5)*-22*1/3? 4 Let y be (-5)/((-75)/6) - 712/5. Let q = -50 - y. What is the units digit of q? 2 Let l(t) = -t**3 - 7*t**2 - 6*t + 6. Let r be l(-6). Let v = r + 7. What is the units digit of v? 3 Suppose 0 = 5*b + 5, -4*w = 5*b - 34 + 7. Let j(u) = -u**2 + 23*u + 13. What is the hundreds digit of j(w)? 1 Suppose 4*s - 3*s - 11 = -h, -h = -5*s + 49. Let j be (s - 2)/2 + -29. Let z = 50 + j. What is the units digit of z? 5 Suppose -89*x = -33*x - 125496. What is the thousands digit of x? 2 Let m(x) = -5*x**2 - 235*x + 12. What is the tens digit of m(-28)? 7 Let w(f) = f**3 + 10*f**2 + 9. Let s be w(-10). Let y = -7 + s. What is the units digit of (-84)/(-2 - (-1)/y)? 6 Suppose -33*p = -43*p + 2590. What is the tens digit of p? 5 Suppose -9*y + 10912 = -y. What is the tens digit of y? 6 Suppose -14923 - 21728 = -19*x. What is the units digit of x? 9 Let a(s) = -s**2 - 14*s + 3. Let l be a(-14). What is the units digit of 67 - (-3 + l)*(-3 - -2)? 7 Let v(y) = -y**3 + 8*y**2 + 2*y - 12. Let m be v(8). Let z be 2/(-3)*-1*36. Suppose z = m*n + 20. What is the units digit of n? 1 Let w(l) = 186*l + 19. What is the units digit of w(2)? 1 Let y(k) = 16*k**2 + k + 4. Let u be y(4). Suppose x - 7*x + u = 0. What is the units digit of x? 4 Suppose 16 = -2*l + 7*l + m, 1 = -l + 4*m. Suppose -3530*g = -3535*g + 25. Suppose 0 = -5*s + 2*s + 5*w + 220, 200 = l*s + g*w. What is the tens digit of s? 7 Suppose -5*c - 139 + 1660 = 2*h
{ "pile_set_name": "DM Mathematics" }
me factors of 2887? 2887 List the prime factors of 27957. 3, 9319 What are the prime factors of 39044? 2, 43, 227 List the prime factors of 1449. 3, 7, 23 List the prime factors of 12820. 2, 5, 641 List the prime factors of 44882. 2, 22441 What are the prime factors of 337? 337 List the prime factors of 29438. 2, 41, 359 List the prime factors of 3403. 41, 83 List the prime factors of 2052. 2, 3, 19 What are the prime factors of 7799? 11, 709 What are the prime factors of 1045? 5, 11, 19 List the prime factors of 1476. 2, 3, 41 List the prime factors of 100834. 2, 50417 What are the prime factors of 1441? 11, 131 List the prime factors of 19361. 19, 1019 List the prime factors of 832. 2, 13 List the prime factors of 133115. 5, 79, 337 List the prime factors of 127473. 3, 42491 List the prime factors of 17526. 2, 3, 23, 127 What are the prime factors of 1170? 2, 3, 5, 13 List the prime factors of 1542. 2, 3, 257 List the prime factors of 41183. 41183 List the prime factors of 23556. 2, 3, 13, 151 What are the prime factors of 14877? 3, 19, 29 List the prime factors of 2626. 2, 13, 101 What are the prime factors of 495? 3, 5, 11 What are the prime factors of 2360? 2, 5, 59 What are the prime factors of 1920? 2, 3, 5 What are the prime factors of 5298? 2, 3, 883 What are the prime factors of 6262? 2, 31, 101 List the prime factors of 873. 3, 97 List the prime factors of 20545. 5, 7, 587 What are the prime factors of 107254? 2, 7, 47, 163 What are the prime factors of 17494? 2, 8747 List the prime factors of 1221. 3, 11, 37 List the prime factors of 16765. 5, 7, 479 What are the prime factors of 41198? 2, 20599 List the prime factors of 10. 2, 5 List the prime factors of 46956. 2, 3, 7, 13, 43 List the prime factors of 41225. 5, 17, 97 List the prime factors of 1307. 1307 What are the prime factors of 15879? 3, 67, 79 List the prime factors of 2717. 11, 13, 19 What are the prime factors of 984? 2, 3, 41 List the prime factors of 33538. 2, 41, 409 What are the prime factors of 4217? 4217 List the prime factors of 7940. 2, 5, 397 What are the prime factors of 2109? 3, 19, 37 List the prime factors of 955. 5, 191 What are the prime factors of 1137? 3, 379 List the prime factors of 8790. 2, 3, 5, 293 List the prime factors of 33054. 2, 3, 7, 787 List the prime factors of 965. 5, 193 What are the prime factors of 12897? 3, 1433 What are the prime factors of 4463? 4463 List the prime factors of 16492. 2, 7, 19, 31 List the prime factors of 1741. 1741 What are the prime factors of 35216? 2, 31, 71 What are the prime factors of 74986? 2, 37493 What are the prime factors of 9445? 5, 1889 List the prime factors of 13141. 17, 773 What are the prime factors of 52025? 5, 2081 List the prime factors of 1353. 3, 11, 41 What are the prime factors of 6523? 11, 593 List the prime factors of 49249. 17, 2897 List the prime factors of 21547. 29, 743 List the prime factors of 18088. 2, 7, 17, 19 List the prime factors of 142597. 7, 13, 1567 What are the prime factors of 770? 2, 5, 7, 11 List the prime factors of 20999. 11, 23, 83 What are the prime factors of 22957? 11, 2087 List the prime factors of 10841. 37, 293 List the prime factors of 6881. 7, 983 What are the prime factors of 1037? 17, 61 What are the prime factors of 61120? 2, 5, 191 What are the prime factors of 359? 359 List the prime factors of 1287. 3, 11, 13 What are the prime factors of 31357? 31357 What are the prime factors of 20124? 2, 3, 13, 43 List the prime factors of 53098. 2, 139, 191 List the prime factors of 7808. 2, 61 What are the prime factors of 469? 7, 67 List the prime factors of 6038. 2, 3019 List the prime factors of 87224. 2, 10903 What are the prime factors of 1180? 2, 5, 59 List the prime factors of 57567. 3, 31, 619 What are the prime factors of 34679? 34679 List the prime factors of 7397. 13, 569 What are the prime factors of 3031? 7, 433 What are the prime factors of 7999? 19, 421 What are the prime factors of 280? 2, 5, 7 List the prime factors of 6668. 2, 1667 What are the prime factors of 14713? 14713 List the prime factors of 10050. 2, 3, 5, 67 What are the prime factors of 19497? 3, 67, 97 What are the prime factors of 82? 2, 41 What are the prime factors of 715? 5, 11, 13 List the prime factors of 1268. 2, 317 What are the prime factors of 33849? 3, 3761 What are the prime factors of 1514? 2, 757 List the prime factors of 5097. 3, 1699 List the prime factors of 17790. 2, 3, 5, 593 What are the prime factors of 6401? 37, 173 What are the prime factors of 999? 3, 37 What are the prime factors of 9093? 3, 7, 433 List the prime factors of 3439. 19, 181 What are the prime factors of 2796? 2, 3, 233 What are the prime factors of 647? 647 List the prime factors of 448. 2, 7 What are the prime factors of 272? 2, 17 List the prime factors of 6386. 2, 31, 103 List the prime factors of 6591. 3, 13 List the prime factors of 128341. 128341 List the prime factors of 400. 2, 5 List the prime factors of 871. 13, 67 What are the prime factors of 8320? 2, 5, 13 List the prime factors of 2366. 2, 7, 13 List the prime factors of 1505. 5, 7, 43 List the prime factors of 5572. 2, 7, 199 What are the prime factors of 1025? 5, 41 What are the prime factors of 48463? 48463 What are the prime factors of 4252? 2, 1063 What are the prime factors of 12520? 2, 5, 313 List the prime factors of 7982. 2, 13, 307 List the prime factors of 94480. 2, 5, 1181 What are the prime factors of 271? 271 What are the prime factors of 7181? 43, 167 What are the prime factors of 1459? 1459 List the prime factors of 3025. 5, 11 List the prime factors of 34730. 2, 5, 23, 151 What are the prime factors of 73962? 2, 3, 7, 587 List the prime factors of 10323. 3, 31, 37 List the prime factors of 395. 5, 79 List the prime factors of 3114. 2, 3, 173 What are the prime factors of 2469? 3, 823 What are the prime factors of 1028? 2, 257 List the prime factors of 4740. 2, 3, 5, 79 List the prime factors of 1108. 2, 277 List the prime factors of 805. 5, 7, 23 List the prime factors of 6456. 2, 3, 269 What are the prime factors of 12239? 12239 What are the prime factors of 2791? 2791 What are the prime factors of 256? 2 What are the prime factors of 7380? 2, 3, 5, 41 What are the prime factors of 71877? 3, 13, 19, 97 List the prime factors of 1956. 2, 3, 163 What are the prime factors of 2023? 7, 17 What are the prime factors of 5257? 7, 751 What are the prime factors of 15862? 2, 7, 11, 103 What are the prime factors of 1409? 1409 What are the prime factors of 3759? 3, 7, 179 List the prime factors of 39140. 2, 5, 19, 103 List the prime factors of 16583. 7, 23, 103 What are the prime factors of 123853? 123853 What are the prime factors of 122962? 2, 7, 8783 List the prime factors of 29202. 2, 3, 31, 157 List the prime factors of 410. 2, 5, 41 What are the prime factors of 293? 293 What are the prime factors of 5279? 5279 List the prime factors of 1149. 3, 383 List the prime factors of 604. 2, 151 What are the prime factors of 13411? 13411 What are the prime factors of 13367? 13367 List the prime factors of 6706. 2, 7, 479 List the prime factors of 763. 7, 109 List the prime factors of 9976. 2, 29, 43 What are the prime factors of 1964? 2, 491 What are the prime factors of 1400? 2, 5, 7 What are the prime factors of 940? 2, 5, 47 List the prime factors of 27861. 3, 37, 251 What are the prime factors of 5084? 2, 31, 41 What are the prime factors of 871? 13, 67 What are the prime factors of 1768? 2, 13, 17 What are the prime factors of 4827? 3, 1609 What are the prime factors of 1528? 2, 191 List the prime factors of 4451. 4451 What are the prime factors of 507? 3, 13 List the prime factors of 8632. 2, 13, 83 What are the prime factors of 893? 19, 47 List the prime factors of 4. 2 List the prime factors of 5333. 5333 What are the prime factors of 83203? 83203 What are the prime factors of 35432? 2, 43, 103 List the prime factors of 18665. 5, 3733 What are the prime factors of 5234? 2, 2617 What are the prime factors of 103506? 2, 3, 13, 1327 List the prime factors of 3326. 2, 1663 List the prime factors of 4469. 41, 109 What are the prime factors of 8574? 2, 3, 1429 What are the prime factors of 1797? 3, 599 List the prime factors
{ "pile_set_name": "DM Mathematics" }
uence yzw when three letters picked without replacement from {y: 2, z: 1, w: 3, h: 6, l: 7}. 1/969 What is prob of sequence dlu when three letters picked without replacement from {l: 1, u: 2, d: 1}? 1/12 What is prob of sequence qq when two letters picked without replacement from qllqlwfllllleqfq? 1/20 Two letters picked without replacement from riiallvlviiidiiid. What is prob of sequence lv? 3/136 Two letters picked without replacement from {r: 1, g: 7, o: 3, u: 3}. Give prob of sequence ug. 3/26 Four letters picked without replacement from mamammqaqmmam. What is prob of sequence mama? 21/715 What is prob of sequence xxxx when four letters picked without replacement from {x: 6}? 1 Two letters picked without replacement from eemmeeeememememmmeme. Give prob of sequence me. 99/380 Two letters picked without replacement from ekk. What is prob of sequence ek? 1/3 Two letters picked without replacement from {u: 1, d: 2, w: 1, i: 2, a: 2}. Give prob of sequence wi. 1/28 Two letters picked without replacement from gpwxgay. What is prob of sequence yw? 1/42 What is prob of sequence xmem when four letters picked without replacement from jeeemqmeeeqexmjjd? 1/1360 Three letters picked without replacement from ddgdgdg. Give prob of sequence dgd. 6/35 Calculate prob of sequence wm when two letters picked without replacement from wwwmwfwffwwfwwwwfw. 2/51 What is prob of sequence odn when three letters picked without replacement from nnfofeedbnenddd? 8/1365 Calculate prob of sequence jhb when three letters picked without replacement from bhhj. 1/12 Calculate prob of sequence jxjj when four letters picked without replacement from xjjjxx. 1/20 Three letters picked without replacement from {v: 2, j: 5, u: 3}. Give prob of sequence juj. 1/12 Three letters picked without replacement from dfadddend. Give prob of sequence adf. 5/504 What is prob of sequence td when two letters picked without replacement from {d: 1, g: 1, t: 5, j: 1, k: 3, p: 1}? 5/132 Two letters picked without replacement from jwwj. What is prob of sequence jw? 1/3 Calculate prob of sequence dk when two letters picked without replacement from ddmmkmp. 1/21 Four letters picked without replacement from zvvvvzvzzvzz. Give prob of sequence zzvz. 2/33 Two letters picked without replacement from {w: 3, x: 6, r: 8, l: 2}. What is prob of sequence xx? 5/57 Four letters picked without replacement from {y: 2, g: 1, x: 1, j: 1, q: 1, p: 1}. What is prob of sequence jgyg? 0 Calculate prob of sequence qx when two letters picked without replacement from {b: 1, a: 2, k: 1, q: 1, x: 1, e: 2}. 1/56 Calculate prob of sequence gl when two letters picked without replacement from lgj. 1/6 Calculate prob of sequence immm when four letters picked without replacement from jmmmmammijmmmmaiimj. 165/5168 What is prob of sequence yno when three letters picked without replacement from ntnkowoootyot? 5/858 Two letters picked without replacement from ettee. Give prob of sequence te. 3/10 Three letters picked without replacement from {p: 13, v: 6}. Give prob of sequence pvp. 52/323 Calculate prob of sequence kbk when three letters picked without replacement from kwbwwbkkwkkwbjbwww. 5/306 Two letters picked without replacement from {p: 8, u: 3}. Give prob of sequence pp. 28/55 Four letters picked without replacement from eddes. Give prob of sequence edes. 1/30 Four letters picked without replacement from qqqeqqqqqqjqqq. What is prob of sequence qqje? 1/182 What is prob of sequence af when two letters picked without replacement from aafafafaaaaaafaf? 11/48 Two letters picked without replacement from {s: 1, n: 1, w: 1}. What is prob of sequence nw? 1/6 Two letters picked without replacement from jjrrrrjr. Give prob of sequence jj. 3/28 Three letters picked without replacement from {u: 1, j: 8, g: 10}. What is prob of sequence ggj? 40/323 Calculate prob of sequence cr when two letters picked without replacement from {r: 1, c: 1, x: 2, y: 1, b: 1, h: 1}. 1/42 Four letters picked without replacement from {n: 3, c: 9}. What is prob of sequence nncn? 1/220 Four letters picked without replacement from {o: 3, a: 3, h: 4, y: 3}. What is prob of sequence aaha? 1/715 Two letters picked without replacement from ssrzxlxzzs. Give prob of sequence xs. 1/15 What is prob of sequence xx when two letters picked without replacement from {t: 2, a: 2, x: 1, e: 11}? 0 Calculate prob of sequence lmqq when four letters picked without replacement from lqqllllllqlmqlqqlq. 7/1224 Four letters picked without replacement from {y: 3, n: 2, h: 2, x: 3, e: 4, p: 1}. What is prob of sequence nnxy? 1/1820 Four letters picked without replacement from {u: 4, t: 2, x: 7, d: 3, y: 3}. Give prob of sequence uyut. 1/1292 Three letters picked without replacement from ickyeek. Give prob of sequence kii. 0 What is prob of sequence tnkk when four letters picked without replacement from {n: 4, t: 1, k: 2}? 1/105 Two letters picked without replacement from {e: 3, n: 2}. What is prob of sequence ne? 3/10 Three letters picked without replacement from rceeuqzrqqqqceezzqr. What is prob of sequence zee? 2/323 Three letters picked without replacement from {w: 4, m: 13, p: 3}. What is prob of sequence ppm? 13/1140 What is prob of sequence tt when two letters picked without replacement from {t: 2, v: 2}? 1/6 Two letters picked without replacement from {f: 2, b: 1, z: 5, v: 6, d: 1}. Give prob of sequence fz. 1/21 Three letters picked without replacement from {v: 1, o: 3, j: 5}. Give prob of sequence voj. 5/168 Calculate prob of sequence bbjb when four letters picked without replacement from bxjjxjjbjxbxbbjbjjjj. 10/969 What is prob of sequence thhh when four letters picked without replacement from {t: 6, x: 9, h: 4}? 1/646 What is prob of sequence hta when three letters picked without replacement from ttrrhaaah? 1/42 Two letters picked without replacement from {g: 2, a: 1, y: 1}. Give prob of sequence ya. 1/12 What is prob of sequence nn when two letters picked without replacement from {n: 4, u: 15}? 2/57 What is prob of sequence iiii when four letters picked without replacement from iiiiiiiiikiiikiiiii? 35/57 Two letters picked without replacement from {y: 9, b: 2, n: 8, i: 1}. Give prob of sequence by. 9/190 Two letters picked without replacement from {f: 3, i: 6, h: 8}. What is prob of sequence if? 9/136 What is prob of sequence qqqq when four letters picked without replacement from qqquqqqqqqqqqqqqqq? 7/9 Three letters picked without replacement from ggggggggg. Give prob of sequence ggg. 1 Three letters picked without replacement from {v: 5, c: 1, o: 6, f: 1, z: 1}. Give prob of sequence zco. 1/364 Four letters picked without replacement from oopopp. Give prob of sequence popo. 1/10 What is prob of sequence ddah when four letters picked without replacement from {d: 5, a: 2, h: 3, s: 5, t: 5}? 1/969 Calculate prob of sequence dl when two letters picked without replacement from {d: 2, t: 1, a: 6, x: 2, e: 2, l: 4}. 1/34 Calculate prob of sequence ee when two letters picked without replacement from cuccuuefecueeecce. 15/136 What is prob of sequence ve when two letters picked without replacement from {v: 15, e: 4}? 10/57 What is prob of sequence oii when three letters picked without replacement from zyizyzziiioyz? 1/143 Four letters picked without replacement from uyueyoouguoygqo. What is prob of sequence qygg? 1/5460 Calculate prob of sequence fr when two letters picked without replacement from eooabfer. 1/56 Three letters picked without replacement from qibppbpqiqrrppippr. Give prob of sequence brq. 1/272 Three letters picked without replacement from {y: 5, w: 1, z: 2, j: 1, o: 1, b: 5}. Give prob of sequence jwb. 1/546 Two letters picked without replacement from {s: 2, f: 2, b: 1, u: 1, a: 4}. Give prob of sequence ub. 1/90 Two letters picked without replacement from aaqqdae. Give prob of sequence eq. 1/21 Two letters picked without replacement from {i: 1, a: 2, k: 4, p: 3, z: 2}. Give prob of sequence ki. 1/33 Calculate prob of sequence vyvz when four letters picked without replacement from fwzozvwvyzzfz. 1/1716 Two letters picked without replacement from {b: 1, u: 9, w: 1}. Give prob of sequence uu. 36/55 Two letters picked without replacement from {v: 1, o: 2, n: 2, y: 1, u
{ "pile_set_name": "DM Mathematics" }
e remainder when 241206 is divided by 55? 31 Calculate the remainder when 71741 is divided by 2657. 2 What is the remainder when 111158 is divided by 164? 130 Calculate the remainder when 51615 is divided by 71. 69 Calculate the remainder when 3457 is divided by 434. 419 What is the remainder when 32678 is divided by 55? 8 Calculate the remainder when 14314 is divided by 129. 124 Calculate the remainder when 1000290 is divided by 23. 20 Calculate the remainder when 629430 is divided by 202. 200 What is the remainder when 5937 is divided by 1958? 63 Calculate the remainder when 5793 is divided by 1306. 569 Calculate the remainder when 16671 is divided by 2478. 1803 Calculate the remainder when 29083 is divided by 14539. 5 What is the remainder when 6934 is divided by 88? 70 What is the remainder when 117760 is divided by 999? 877 Calculate the remainder when 181669 is divided by 181658. 11 What is the remainder when 8260 is divided by 8254? 6 What is the remainder when 25953 is divided by 2992? 2017 Calculate the remainder when 10647 is divided by 39. 0 Calculate the remainder when 145706 is divided by 9713. 11 Calculate the remainder when 14530 is divided by 12. 10 What is the remainder when 58889 is divided by 201? 197 Calculate the remainder when 785 is divided by 312. 161 What is the remainder when 10858 is divided by 57? 28 Calculate the remainder when 29510 is divided by 29471. 39 Calculate the remainder when 176813 is divided by 272. 13 Calculate the remainder when 74193 is divided by 24727. 12 What is the remainder when 21595 is divided by 69? 67 Calculate the remainder when 21229 is divided by 317. 307 What is the remainder when 6629 is divided by 78? 77 What is the remainder when 6038 is divided by 215? 18 What is the remainder when 131940 is divided by 970? 20 Calculate the remainder when 1645 is divided by 1302. 343 What is the remainder when 72782 is divided by 26? 8 What is the remainder when 794842 is divided by 472? 466 Calculate the remainder when 15063 is divided by 3752. 55 Calculate the remainder when 4670 is divided by 40. 30 What is the remainder when 5338 is divided by 1326? 34 Calculate the remainder when 582927 is divided by 23. 15 Calculate the remainder when 6381 is divided by 336. 333 What is the remainder when 13713 is divided by 1610? 833 What is the remainder when 9911 is divided by 3302? 5 Calculate the remainder when 28541 is divided by 67. 66 What is the remainder when 19170 is divided by 799? 793 What is the remainder when 16679 is divided by 235? 229 Calculate the remainder when 93442 is divided by 46713. 16 Calculate the remainder when 22029 is divided by 10973. 83 What is the remainder when 1281 is divided by 1235? 46 Calculate the remainder when 4897 is divided by 78. 61 Calculate the remainder when 17983 is divided by 1057. 14 Calculate the remainder when 7877 is divided by 1968. 5 What is the remainder when 45368 is divided by 409? 378 What is the remainder when 8873 is divided by 4410? 53 Calculate the remainder when 14589 is divided by 324. 9 Calculate the remainder when 82917 is divided by 4. 1 Calculate the remainder when 580024 is divided by 25. 24 What is the remainder when 22197 is divided by 22190? 7 What is the remainder when 44232 is divided by 2? 0 Calculate the remainder when 1605289 is divided by 131. 15 What is the remainder when 101652 is divided by 1130? 1082 Calculate the remainder when 759 is divided by 70. 59 What is the remainder when 44152 is divided by 22075? 2 What is the remainder when 35776 is divided by 17877? 22 What is the remainder when 52990 is divided by 197? 194 What is the remainder when 9633 is divided by 141? 45 What is the remainder when 155785 is divided by 74? 15 What is the remainder when 10567 is divided by 31? 27 What is the remainder when 55388 is divided by 7910? 18 Calculate the remainder when 1300 is divided by 1242. 58 What is the remainder when 1247 is divided by 461? 325 What is the remainder when 5858 is divided by 2866? 126 What is the remainder when 1145968 is divided by 1070? 1068 What is the remainder when 6911 is divided by 276? 11 Calculate the remainder when 62199 is divided by 145. 139 What is the remainder when 10143 is divided by 273? 42 Calculate the remainder when 22486 is divided by 123. 100 What is the remainder when 8653 is divided by 605? 183 Calculate the remainder when 4408 is divided by 1795. 818 Calculate the remainder when 11600 is divided by 1932. 8 Calculate the remainder when 1128 is divided by 83. 49 Calculate the remainder when 13678 is divided by 1240. 38 What is the remainder when 231674 is divided by 183? 179 Calculate the remainder when 8260 is divided by 129. 4 Calculate the remainder when 25566 is divided by 188. 186 What is the remainder when 694 is divided by 88? 78 Calculate the remainder when 20589 is divided by 735. 9 Calculate the remainder when 36722 is divided by 18361. 0 What is the remainder when 6040045 is divided by 16? 13 Calculate the remainder when 898 is divided by 188. 146 What is the remainder when 210615 is divided by 62? 1 What is the remainder when 381480 is divided by 95369? 4 Calculate the remainder when 360 is divided by 33. 30 What is the remainder when 15984 is divided by 3176? 104 What is the remainder when 321320 is divided by 13? 12 Calculate the remainder when 421202 is divided by 1872. 2 Calculate the remainder when 15319 is divided by 5100. 19 What is the remainder when 1249808 is divided by 10? 8 Calculate the remainder when 60789 is divided by 31. 29 Calculate the remainder when 2771 is divided by 23. 11 Calculate the remainder when 3530 is divided by 52. 46 What is the remainder when 693 is divided by 59? 44 What is the remainder when 3085 is divided by 1502? 81 What is the remainder when 362039 is divided by 95? 89 What is the remainder when 83441 is divided by 152? 145 What is the remainder when 31829 is divided by 2444? 57 Calculate the remainder when 1237 is divided by 680. 557 Calculate the remainder when 109400 is divided by 39. 5 Calculate the remainder when 3290 is divided by 546. 14 Calculate the remainder when 3331 is divided by 667. 663 What is the remainder when 23577 is divided by 393? 390 Calculate the remainder when 14395 is divided by 567. 220 Calculate the remainder when 87942 is divided by 215. 7 What is the remainder when 80056 is divided by 98? 88 Calculate the remainder when 35494 is divided by 116. 114 Calculate the remainder when 114491 is divided by 1070. 1 Calculate the remainder when 1090 is divided by 103. 60 What is the remainder when 292670 is divided by 33? 26 Calculate the remainder when 367124 is divided by 55. 54 What is the remainder when 104690 is divided by 560? 530 What is the remainder when 5307 is divided by 47? 43 What is the remainder when 1540160 is divided by 49? 41 What is the remainder when 349299 is divided by 350? 349 What is the remainder when 144899 is divided by 5? 4 What is the remainder when 266302 is divided by 96? 94 Calculate the remainder when 10445 is divided by 4151. 2143 What is the remainder when 15626 is divided by 590? 286 Calculate the remainder when 6354 is divided by 1268. 14 Calculate the remainder when 319 is divided by 184. 135 What is the remainder when 417 is divided by 148? 121 What is the remainder when 63619 is divided by 482? 477 What is the remainder when 4784 is divided by 950? 34 Calculate the remainder when 4494 is divided by 342. 48 What is the remainder when 3482 is divided by 580? 2 What is the remainder when 8408 is divided by 1380? 128 Calculate the remainder when 1007 is divided by 315. 62 Calculate the remainder when 18679 is divided by 1037. 13 Calculate the remainder when 4542 is divided by 255. 207 Calculate the remainder when 49860 is divided by 514. 2 What is the remainder when 920 is divided by 98? 38 What is the remainder when 448199 is divided by 1192? 7 Calculate the remainder when 673372 is divided by 178. 176 What is the remainder when 1637 is divided by 153? 107 What is the remainder when 5424 is divided by 5386? 38 What is the remainder when 3743 is divided by 3579? 164 Calculate the remainder when 19190 is divided by 73. 64 Calculate the remainder when 96166 is divided by 23. 3 What is th
{ "pile_set_name": "DM Mathematics" }
b - 11 = -4*d for b. -5 Solve -3*f = 5*q - 34, q = -q + 4*f - 2 for q. 5 Solve z + 5*v = 8*v + 8, 4*z + 4*v + 32 = 0 for z. -4 Solve -c = -4*d - 3, -9*d - 5 = -6*d + 2*c for d. -1 Solve 0 = 35*l - 39*l + 4*n + 56, 0 = -4*l - 3*n + 21 for l. 9 Solve 5*t + 145 = 4*p + 167, -2*t + 4 = -4*p for t. 6 Solve 4*b - k + 9 = 0, -3*b - 4*k + 17 = -0*b for b. -1 Solve -j + v + 8 = 0, -21*j + 17*j + 2*v = -16 for j. 0 Solve -d = 2*u + 3, 2*d = -7*u + 9*u + 12 for u. -3 Solve -4*q = -2*t - 16, -2*q + q + 2*t = -10 for q. 2 Solve -l - 3*b = -11, 19 = -4*l + 4*b - 17 for l. -4 Solve 1 = -4*c - 3*n + 3, -c - n = -1 for c. -1 Solve -4*w = 3*s - 3, -2*w = 2*s - 50 + 46 for s. 5 Solve 4*t + 2*l = -132 + 140, -5*t + 5 = 5*l for t. 3 Solve 2*r + 2*s + 2 = 0, r - 2*r + 2*s + 14 = 0 for r. 4 Solve 2*g + 4*h = 14, 0*g + 2 = -g + h for g. 1 Solve -4*a = 4*j - 4, 19*j - 23*j - 3*a = 0 for j. -3 Solve -c + 26 = 2*d - 5*c, d = 5*c + 25 for d. 5 Solve 2*m = x - 1, 2*m - 168*x = -172*x - 26 for m. -3 Solve 0 = -4*p + 15 - 3, -2*x - 13 = -5*p for x. 1 Solve -u - 4*z - z - 5 = 0, 0 = 4*u + 4*z - 12 for u. 5 Solve 3*k = -9, -2*u + 5 = 3*k + 20 for u. -3 Solve 2*z - 2*f - 14 = -0, 3*z = 4*f + 26 for z. 2 Solve 2*g = -4, -5*q = -7*g + 6*g + 23 for q. -5 Solve -4*u = 5*v + 5, 0*u - 3*v + 19 = -2*u for u. -5 Solve 3*o - 5*i = -6, -62*i = 4*o - 66*i for o. 3 Solve -5*a + 10 = -5*w, 7 = -5*a - 4*w - 10 for a. -1 Solve 14 = 2*w - 4*y, 0*w - w - 4*y = 11 for w. 1 Solve -2*v = -v + 3*p - 4, p - 6 = 2*v for v. -2 Solve x = 5*f - 5, 4*x + 3*f + 214 = 194 for x. -5 Solve 4*h + 5*s = -26, 3*h - 2*s - 224 = -209 for h. 1 Solve 97*q = 2*a + 98*q - 8, -2*a - 4*q + 2 = 0 for a. 5 Solve -3*b - 3*p = -6, 3*b - b = 2*p - 8 for b. -1 Solve 5*j = -4*a + 3*j - 22, 16 = 3*a - 5*j for a. -3 Solve 0 = l + 4*r + 5, 5*l + 5*r = -12 - 13 for l. -5 Solve -c - 8 = 3*c - 5*z, 0 = 3*z - 12 for c. 3 Solve -5*q - 2*l = -18, 4*q - 2 - 15 = l for q. 4 Solve -4*y + 5 = c + 3, -5*c = -4*y - 10 for y. 0 Solve w = -c + 11 - 13, 3*w - 2*c = -11 for w. -3 Solve -67*p - 5*r = -72*p - 10, 3*r + 24 = -7*p for p. -3 Solve 0 = 3*b + 6*m - 7*m - 4, -4*m = -8 for b. 2 Solve 5*q + 34 = -2*i + 42, 2*i + 2 = 0 for q. 2 Solve -2*n + 5*q - 11 = 0, 5*q - 8*q = -3*n - 12 for n. -3 Solve -f = 2*h - 3*f - 2, -5*h - 3*f + 29 = 0 for h. 4 Solve -3*j + 2*t = 19, -6*t + t = 2*j for j. -5 Solve 4*x = 2*f - 16, 4*f - f = -4*x - 26 for x. -5 Solve 24 = -x - 3*x + 4*f, 5*x - 3*f = -20 for x. -1 Solve j + 11 = 4*r - 1, -r - j + 3 = 0 for r. 3 Solve 4*y = 0, -4*u = y + 86 - 66 for u. -5 Solve 2 = 6*j - 4*j - 4*y, 5*j - 2*y = -11 for j. -3 Solve 0 = 2*h - 5*h + 4*a - 18, -a - 1 = 2*h for h. -2 Solve 289*f = 287*f - 3*d + 10, 2*d - 6 = -f for f. 2 Solve 2*g = 2*m + 6, 0 = 2*g + 3 - 13 for m. 2 Solve 0 = p - 3*p - 4*y + 12, 0 = 3*p + 3*y - 9 for p. 0 Solve g = -g + 4*d, 4*g + 3*d = -11 for g. -2 Solve 14 = 2*p + r - 3*r, -2*p + 4*r + 24 = 0 for p. 2 Solve 0 = -q + 5*m - 22, -3*m + 8*m - 20 = 0 for q. -2 Solve 2*c + 5*q = -18, -4*q = -c - q + 2 for c. -4 Solve -4*v + 3 = 3*c, 0 = v + 4*v + 5*c for v. 3 Solve -5*n - 19 = -q, -5*n + 3*n - 14 = -2*q for q. 4 Solve -c + 4 = -5*z + 2*z, 5*z + c = -4 for z. -1 Solve 13*h = k + 11*h, 3*k - 5*h = 0 for k. 0 Solve 4*z + 26 = 2*s, 5*z + 20 = -4*s + 7 for z. -5 Solve t - 5*c - 2 = 0, 3*t + 2*c + 12 = -c for t. -3 Solve -2*j = -5*p - 14, -14*j - 28 = p - 18*j for p. 0 Solve 0 = -z + 4*z, 0 = 2*o + 5*z - 8 for o. 4 Solve -5*v + 8*v - 5*x + 8 = 0, -7 = 3*v - 4*x for v. -1 Solve 3*l - l - m - 9 = 0, 5*l = -4*m - 10 for l. 2 Solve -4*i + 5*t = -36 + 64, 5*i = -4*t + 6 for i. -2 Solve -t + 9*x - 6*x = -9, t + 9 = -3*x for t. 0 Solve -23*v + 28*v - 45 = -5*m, -2*v = 3*m - 22 for v. 5 Solve -q - 4*x = -17, -48*x + 49*x = 2*q - 7 for q. 5 Solve 0 = 4*b + 4*l + 40, -14 = 3*b + l + 6 for b. -5 Solve h - 2*s = -5 + 9, 0 = 4*h + 4*s + 32 for h. -4 Solve 5*p - 20 = 2*h, -4*h - 5 = -3*h for p. 2 Solve -2*n = -f + 2*f + 9, -5*n + 10 = -4*f for f. -5 Solve -4*f + 16 = 0, 0 = u + 2*u - 5*f + 29 for u. -3 Solve 5*c - 2*v = -58 + 23, v = -4*c - 15 for c. -5 Solve 2*o = 5*o - 2*x + 16, -2*o = 3*x + 2 for o. -4 Solve f - 8 = -0*f + 2*b, 0 = 3*f - 2*b - 16 for f. 4 Solve -4*y - 4*a - 16 = 0, -11*a + 7*a = -3*y + 16 for y. 0 Solve 3*k + 3*r = -6, 2*k - 4*r = -0*k - 22 for k. -5 Solve 2*h = 2*s + 14 - 8, 2*s = h - 4 for s. -1 Solve -q + 4*l + 22 = 0, 4*q - 8*l + 10*l + 2 = 0 for q. 2 Solve -4*n - 18*h = -19*h - 22, -h = -3*n + 17 for n. 5 Solve -5*x - 7 = -6*r + 3*r, -4 = -2*r + 4*x for r. 4 Solve 5*i = -5*a - 1 - 9, i - 3 = 0 for a. -5 Solve -2*s - 4*m = -12 + 16, -6*m = -2*s + 26 for s. 4 Solve -5*v - 5*t = -3*v + 10, 0 = -v + 4*t - 5 for v. -5 Solve -32*a + 5 = -31*a + j, -6 = -a - 2*j for a. 4 Solve 0 = -4*m + d + 16, -28*m - 5*d - 12 = -31*m for m. 4 Solve z = x + 14 - 18, -5*x + 11 = -2*z for x. 1 Solve 2*o = 4*u + o - 11, -3*u + 4*o = -5 for u. 3 Solve 5*h + 18*c - 16 = 20*c, -h + 4*c = -14 for h. 2 Solve -3*i - 15 = 0, 22*s = 19*s + 5*i + 25 for s. 0 Solve 18 = -4*i + 4*s + 6, 0 = 2*i + 4*s for i. -2 Solve -2*o = -5*o - g - 1, 0 = -5*o - 2*g - 1 for o. -1 Solve -5*f + 4*r - 7 - 1 = 0, -2*f + 5*r = -7 for f. -4 Solve -5*u - 4*d = 44, 2*u - 43 = -4*d - 75 for u. -4 Solve 5*h - 21 = 9*h - z, -z + 9 = -h for h. -4 Solve -5*o - 5*f + 30 = 0, 4*o = 2*o - f + 7 for o. 1 Solve a + 15 = -3*c, 9*c = 4*c + 4*a - 25 for c. -5 Solve -4 = -x + 3*x, 5*x = g - 13 for g. 3 Solve -4*w - 25*u - 16 = -23*u, 2*u + 12 = -3*w for w. -4 Solve 13*b - 3*g = 10*b, 2*b + 2*g = -4 for b. -1 Solve -3*i = v - 1, 0 = -4*v + i + 2*i + 19 for v. 4 Solve r - 5*r = q - 9, -27 = 4*q - 5*r for q. -3 Solve 25 + 20 = -5*o + 4*z, 0 = 2*o - 3*z + 25 for o. -5 Solve 8 = -4*c + l, 5*c - c - 3*l + 16 = 0 for c. -1 Solve -4*t - 20 = z, -19 + 3 = 3*t + z for t. -4 Solve 5*x = 41*j - 39*j - 28, 20 = 2*j - 3*x for j. 4 Solve 3*h - 14 = 5*k, 0 = -5*k + 2*k + 2*h - 8 for k. -4 Solve -3*g - 4*s - 16 = 0, -3*g - 2 = 2*s + 6 for g. 0 Solve -5*h = -s + 2, -h + 3*h = -2 for s. -3 Solve 2*b + 4*v - 28 = -2*b, 3*b = 4*v - 7 for b. 3 Solve 0 = 3*y - 3*v + 21, -39*y - 3*v = -38*y - 13 for y. -2 Solve 4*s = -2*k + 24, 3*s + 4 = 5*k + 9 for s. 5 Solve z = -i + 2, -3*z - 24 = -4*i - 2 for i. 4 Solve 0*c + 12 = 4*c - 4*o, 2*o - 14 = -2*c for c. 5 Solve -4*p = -4*y, -p + 10 = 4*y - 0 for p. 2 Solve 5*w - 3*s = 40, 4*w + 20 = 6*w - 2*s for w. 5 Solve 5*i + 15 = 0, 4*q + 4*i + 7 = -q for q. 1 Solve -p = 5*k - 5, -3*k + 5*p = 2*p - 21 for k. 2 Solve -3*y + 2 = -v, -9*y + 5*y = v - 5 for v. 1 Solve 2*t = -5*j + 26, j - 22 = -2*t - 3*j for t. 3 Solve 0 = 4*u - 24, 3*m - 2*u + 569 = 548 for m. -3 Solve -16 = -2*c - 5*y, 0 = -2*c + 7*y - 11*y + 12 for c. -2 Solve 14*q - 16*q = -n - 3, -21 = -5*q - 2*n for q. 3 Solve -s + 4*d = 17, -4*s = 293*d - 291*d - 22 for s. 3 Solve 4*t + 35 = 2*a + 15, -4*t - a = 8 for t. -3 Solve 38*h = 42*h - 4*o - 4, -4*h + 12 = 4*o for h. 2 Solve 0 = -2*u - 44*k + 45*k + 2, 3 = 3*u - k for u. 1 Solve -3*x - 5 = -4*f - 9, -x = f + 8 for x. -4 Solve 12*f - 10*f - 11 = 5*a, -5*a - 20 = -5*f for f. 3 Solve -14 + 2 = -3*b, 3*b - 8 = -2*a for a. -2 Solve z = f + 17 - 11, z = 5*f + 22 for f. -4 Solve 3*x = 3*g - 21, -5*x = -g - 3*g + 30 for x. -2 Solve 2*o + 5*z + 6 - 37 = 0, -o + 2*z - 7 = 0 for o. 3 Solve 6 - 8 = 3*n + 2*m, -4*n - 2 = 3*m for n. -2 Solve 5*i - 1 = g, -g + 41 - 34 = 3*i for i. 1 Solve -5*z + 15 = 5*v, -16*v = z - 21*v + 15 for z. 0 Solve -3*h + 2*z + 6 = h, 0 = -5*h + z + 15 for h. 4 Solve 32 = -4*t + 3*f, 8*f = 11*f - 12 for t. -5 Solve 20*f - 21*f = 5*w + 7, 0 = 4*f - 4*w + 4 for f. -2 Solve -7*k = -4*k + 2*p - 14, -k = p - 5 for k. 4 Solve -76*i + 4*a + 12 = -80*i, -14 = 2*i - 2*a for i. -5 Solve 12*o = 10*o - 5*q - 1, o + q - 1 = 0 for o. 2 Solve -2*i + 0*w = 4*w + 20, -4*i + 5*w + 25 = 0 for i. 0 Solve 0 = -5*b - h - 21, -3*h + 23 = 4*b + 42 for b. -4 Solve -2*f + 9 = -189*y + 184*y, 3*f + 18 = -3*y for f. -3 Solve -9*w + 9 = 5*y - 5*w, 0 = -3*y + 2*w + 1 for y. 1 Solve -5*m = -3*c + 8, -c = -2*m - 3*c - 16 for m. -4 Solve -4*z + 23 = 11, 4*c = -3*z + 13 for c. 1 Solve 2*n = 4*g + 20, 9*g = -5*n + 7*g + 2 for n. 2 Solve -4*i - 11 = -5*h + 1, 0 = -h + 4 for i. 2 Solve i + 3 = -l, 4*l - 149*i + 2 = -151*i for l. 2 Solve -2*k = -v, -2*v = 3*v + 2*k for
{ "pile_set_name": "DM Mathematics" }
uppose v*n + 2*n = 16. Suppose -n*k + 6 = -2*k. Calculate the greatest common divisor of 3 and k. 3 Let f be 6 - (-6)/(-24)*0. Calculate the highest common divisor of f and 14. 2 Suppose 5*v - 4*v - 186 = 0. Suppose -3*h - 3*i + v = 0, 2*i - i - 188 = -3*h. What is the greatest common divisor of 9 and h? 9 Let t(y) = 2*y + 8. Let m be t(-7). Let u be 6/(-33) + (-567)/(-33). Let x = m + u. Calculate the highest common divisor of x and 99. 11 Let j be (-2)/(-3)*(-336)/(-32). What is the greatest common divisor of 28 and j? 7 Let w = -64 + 96. Suppose 0*p = -p + 8. Calculate the highest common factor of w and p. 8 Suppose 3*z - 2*q + q + 4 = 0, 0 = 4*z + q + 3. Let f be (-18)/4 - z/(-2). Let l = f + 12. Calculate the highest common factor of 35 and l. 7 Let g be (4 + 1)*(8 - 6). Let l = g + -8. Let b be (6/(-2))/(-3) - -3. Calculate the highest common divisor of l and b. 2 Let m(f) = -2*f**2 + 9*f - 1. Let i be m(4). What is the highest common factor of i and 15? 3 Let o(q) = -q**3 - 10*q**2 - 20*q - 7. Let p be o(-9). Calculate the greatest common divisor of p and 23. 23 Suppose -2*q + 5*q = -3*i + 201, -5*i - 120 = -2*q. What is the greatest common divisor of 5 and q? 5 Suppose 0*l = -5*l + 180. Let z = l - 24. Let t be (-4)/10 + 32/5. Calculate the greatest common divisor of z and t. 6 Suppose -5*t = -2*t - 72. Calculate the highest common divisor of t and 6. 6 Suppose -v + g = -2, -21 = -3*v - g - g. Suppose v*b - 4*j = 90, 4*b - 3*j - 75 = -4. Suppose 92 = 2*f - 48. Calculate the greatest common factor of f and b. 14 Let o be 5/(-15) - (-2)/(-3). Let z be 1*(3 - 5)/o. Suppose -z*j + 16 = 2*j. What is the highest common factor of 28 and j? 4 Let w = 34 - 33. What is the greatest common divisor of 8 and w? 1 Suppose 0 = 2*w - 0*w + 478. Let k = -143 - w. Let g be ((-6)/8)/((-3)/k). Calculate the highest common factor of 264 and g. 24 Suppose 2*g = 18 + 30. Let i = g - 13. What is the greatest common factor of i and 121? 11 Suppose -4*x + 3*v + 67 = 0, -76 = -4*x - x - 4*v. What is the greatest common factor of 144 and x? 16 Let w = 14 + 14. What is the highest common factor of 84 and w? 28 Let i be 4 - 2/2*-2. Let b = 8 - i. Suppose 0*c + b*c + 5*r - 105 = 0, -3*r + 217 = 4*c. Calculate the greatest common divisor of c and 22. 11 Let i(t) = -t**2 - 16*t + 54. Let a be i(-16). What is the highest common factor of 90 and a? 18 Let n(f) = 3*f - 1. Let l be n(2). Suppose -l*q - 32 = -2*s, -4*q = 4*s + q - 34. Let m be 4/14 - (-1074)/14. Calculate the highest common factor of m and s. 11 Suppose 0*x + 22 = 4*x - c, 10 = 2*x - c. Let n be (1 + 15/(-6))*-34. Suppose n = 4*j + b, 3*j + 4*b - 67 = -19. What is the highest common divisor of x and j? 6 Let g be 3 + 95 + (-5)/(25/10). What is the highest common divisor of 6 and g? 6 Suppose -28*j + 25*j + 90 = 0. Calculate the greatest common factor of j and 45. 15 Let o = 2 + -5. Let v be ((-9)/(-6))/(o/(-42)). What is the highest common factor of 3 and v? 3 Suppose -17*s + 300 = -12*s. What is the highest common factor of 20 and s? 20 Let t = 18 + -19. Let j(z) = -36*z**3 - z**2 + 1. Let c be j(t). Calculate the highest common divisor of 9 and c. 9 Suppose 4 = j - 3*j. Let o = 6 - j. Suppose -4*q + 4*y + 4 = 0, 0 = 2*q - q - 4*y + 8. Calculate the greatest common divisor of o and q. 4 Suppose 2*h + 23 = -1. Let g be (2/(-3))/(h/(-54)). Let w(c) = 3*c**2 + 2*c - 2. Let n be w(g). Calculate the highest common divisor of n and 171. 19 Let z(i) = 4*i + 72. Let m be z(-5). What is the highest common divisor of m and 104? 52 Suppose 0 = -u + 22 - 7. Let s be (-2)/(-3) - (-185)/u. Calculate the greatest common factor of 13 and s. 13 Suppose -c = 2*f - 28, 4*c = -f + 6*f - 57. What is the highest common divisor of 13 and f? 13 Suppose 5*z + 25 = -2*x + 146, 0 = -2*x - 4. Let r be ((-50)/8)/(56/32 - 2). What is the highest common factor of r and z? 25 Let t be (-8)/(-36) - 1/(27/(-1344)). What is the greatest common divisor of 2 and t? 2 Let m = 139 + -117. What is the highest common factor of 2 and m? 2 Let k = 9 + -8. Let l be 0*-1*k/(-2). Suppose -5*s - q + 36 = l, 3*q - 15 = -4*s + 5. Calculate the highest common divisor of 4 and s. 4 Let r(w) = -10*w + 1. Let c be r(-1). Suppose -3*m = -2*m + c. Let u be m/(-33) + 119/3. What is the greatest common factor of 60 and u? 20 Let i(w) = -w**2 + 27. Let q be i(0). Suppose q + 13 = 4*s. What is the greatest common factor of 10 and s? 10 Suppose a + 40 = 5*a. Calculate the greatest common divisor of a and 4. 2 Let t(u) = -5*u - 28. Let r be t(-10). Calculate the highest common divisor of 22 and r. 22 Suppose 2*y = c + 7, -4*y + 16 + 4 = 0. Suppose -n + 2*t = t - 33, c*t + 35 = n. What is the greatest common factor of 48 and n? 16 Let d = 8 - 6. Suppose 3*i = -d*i + 140. What is the highest common divisor of 224 and i? 28 Let n(h) = -16*h - 5. Let z be n(-2). Calculate the highest common factor of z and 108. 27 Let x(j) = 3*j + 1 - j**3 + 6*j + j**2 - 5*j. Let z be x(-3). Let v = 11 - 6. Calculate the greatest common factor of v and z. 5 Let g be 15 - 14 - 3*1. Let x be (1/g)/((-8)/448). What is the greatest common divisor of x and 56? 28 Suppose -f = -4*u + 216, 2*u - 3*f - 87 - 11 = 0. Let a = -17 - -28. Calculate the greatest common factor of a and u. 11 Let x be -1*3/(-6)*0. Suppose -b + 6 + 1 = x. What is the highest common factor of 14 and b? 7 Let u = -10 + 14. Let n = 14 - u. What is the highest common divisor of n and 10? 10 Let n(s) = 26*s**2 - 2*s + 2. Let b be n(-3). What is the highest common factor of 22 and b? 22 Let y be (-1)/((-28)/(-10) - 3). Suppose -4*p + 9*p + f = 23, -y*f = -3*p - 3. Suppose x = 9 + 15. Calculate the highest common factor of x and p. 4 Suppose 5*f = 4*v + 50, 7 = -f + v + 16. What is the greatest common divisor of f and 21? 7 Let t(i) = -i**2 - 10*i - 10. Let b be t(-8). Let j = b + 7. Suppose 0 = l - a - 21, 4*a + a = l - 1. What is the highest common divisor of l and j? 13 Suppose -2*m - 12 = 2*m. Let b = m - -8. Suppose 0 = -b*p + p + 12. Calculate the greatest common factor of p and 21. 3 Let n = 6 - 9. Let t(v) = -v**3 - 2*v**2 - v - 4. Let k be t(n). Suppose 86 = -4*a + 374. What is the highest common divisor of a and k? 8 Let p be (-2 + 1)*(-29 - -3). Suppose 4*l = -0*l. Let n be (0 + 0 - l) + 65. What is the greatest common divisor of n and p? 13 Suppose -3*x = -4*t + 15, 4*t + 6*x - 2*x - 36 = 0. Suppose -j = -1 - t. What is the greatest common divisor of 77 and j? 7 Suppose 4*z - 3*t = 607, -2*z - 2*t = -264 - 50. Suppose -2*m = 3*m - 75. Let a be (1 + -2 + m)*1. What is the greatest common factor of a and z? 14 Suppose -29 = -4*o - 5*v, 3*v = 7*o - 4*o - 42. What is the greatest common factor of o and 33? 11 Let h = 0 - -3. Suppose -h*y = -0*y - 27. Calculate the highest common divisor of 63 and y. 9 Let c be (-1 - -3)*15/10. Suppose -2*s - 20 = -c*t, -2*s - s = -5*t + 33. What is the greatest common divisor of 6 and t? 6 Let i(b) = 27*b**3 + 2*b**2 - b. Let f be i(1). Let d be 14/f + (-237)/(-2). Calculate the highest common divisor of d and 17. 17 Suppose q + 18 = 5*w - 0*w, 2 = -3*q + 2*w. Suppose 208 = q*v + 82. What is the greatest common factor of 42 and v? 21 Let b = -6 + 8. Let y(f) = 3*f**2 + 0*f - 2*f - 5*f**3 - b - f**2. Let v be y(-2). Calculate the greatest common divisor of v and 10. 10 Let o be 12/18 + (-138)/(-9). Calculate the highest common factor of o and 4. 4 Let g = -16 + 9. Let x = 15 + g. Calculate the highest common divisor of x and 8. 8 Let z be 6 - (2 - (-7)/(-1)). What is the greatest common divisor of 121 and z? 11 Let b = 2 - 1. Let l be (b + -9)/((-3)/42). Let m be (24/(-5))/(18/(-60)). What is the greatest common factor of l and m? 16 Let u = 43 - 25. Suppose -b + u = -3*j + b, -5*b = 5*j + 5. Let o be j/(-18) - (-214)/9. What is the greatest common factor of o and 6? 6 Suppose 0 = 4*f + 8 - 28. Let l = 11 + -7. Suppose f*o - 5*q = 25, 1 = o + 2*q - l. What is the greatest common divisor of 35 and o? 5 Let p be 2/(-1)*-7*1. Calculate the highest common factor of p and 35. 7 Suppose -3 = -3*z + 2*z. Suppose -4*i + 210 = -206. Suppose 4*w - r - i = 0, -3*w + 131 - 42 = 2*r. What is the highest common divisor of w and z? 3 Let m(p) = 2*p - 5. Suppose -2*c = -2*v + 16, -2*v - 3*c = 5 -
{ "pile_set_name": "DM Mathematics" }
j - 3. Let c(o) = -3*h(o) - 2*t(o). Suppose -3*y - 9 = -0*y. Give c(y). -8 Let d(r) = 1 - 2*r + r - 4 + 11. What is d(6)? 2 Suppose -5 = 2*f + 5*l + 24, 0 = 2*l + 6. Let o(h) = -h**2 - 6*h - 5. Calculate o(f). -12 Let w(m) = -6. Let i(j) = j - 5. Suppose 2*x - 2 = -6. Let c(k) = x*i(k) + 3*w(k). Suppose -4*n - 32 = -2*b + 3*b, 3*n - 5*b + 1 = 0. What is c(n)? 6 Let b = 0 + 2. Let n = b + 1. Let g(p) = -4 - 6 + n + p**2 - 2*p**2. What is g(0)? -7 Let u(p) = -p**2 + 4*p + 6. Let t be u(6). Let z = t - -10. Let b(l) = -5*l**2 - 12*l + 12. Let g(m) = -2*m**2 - 6*m + 6. Let v(q) = 3*b(q) - 7*g(q). Give v(z). 2 Let s(z) = 18*z - 5 + 13 - 19*z. Let w(y) = -y + 1. Let d(k) = -s(k) + 2*w(k). What is d(-5)? -1 Suppose -2*h - h = -2*a - 18, 2*a = 6. Let g be (-25)/(-10)*h/5. Let m(n) = -n**2 + 6*n - 5. Let j be m(g). Let k(s) = s**2 - s + 1. Give k(j). 7 Let v(f) be the second derivative of -f**3/3 - 3*f. Let x = 16 - 11. Determine v(x). -10 Let u(i) = -i**2 - i + 4. Let c be u(0). Let y(a) be the first derivative of 1/4*a**4 - 6*a + 2*a**2 + 1 - 5/3*a**3. Calculate y(c). -6 Let d = 8 - 10. Let u(k) = 3*k. Determine u(d). -6 Let u(j) be the second derivative of j**5/20 + 5*j**4/12 + 2*j**3/3 - 5*j**2/2 - j. Give u(-4). -5 Let v(c) be the second derivative of -c**3/6 + c**2 - 6*c. Give v(-6). 8 Let d be (-20)/(-6) - (-10)/15. Suppose -1 = v - g, -d*v - 2*g + 2 = -6. Let y(s) = s**2 - 2*s + 1. Calculate y(v). 0 Let t(b) = -b**2 + 3*b - 2. Suppose 2*v + 3*y - 12 = -0*v, 22 = 4*v + 5*y. Give t(v). -2 Let t = 11 - 7. Suppose -o - p = -t*p - 7, -p - 9 = o. Let r(c) be the second derivative of -c**4/12 - c**3 - 2*c**2 - c. Determine r(o). 1 Let z(b) = -17*b + 9. Let l(k) = 5*k - 3. Let g(w) = 14*l(w) + 4*z(w). Determine g(3). 0 Let p be 3/(-6)*2*3. Let h(q) be the first derivative of q**3/3 + q**2 + 3*q - 19. Determine h(p). 6 Let c(x) = -x**2 - 8*x + 8. Let y(i) = -4*i**2 - 25*i + 25. Let g(o) = -7*c(o) + 2*y(o). Give g(4). 2 Let m(w) = -5*w**2 + 11*w - 14. Let n(o) = o**2 - o + 1. Let p(v) = m(v) + 4*n(v). What is p(8)? -18 Let y(j) = -j**3 - 5*j**2 - 4*j - 1. Let l be (-15)/(-6)*(-12)/(-15). Suppose 6 = -l*z - 0. Calculate y(z). -7 Let p(o) = -o**2 - 7*o + 26. Let q be p(-9). Let y = -3 - -5. Let f(t) = t**2 - 3*t**y - q*t + t**2 - 6. Determine f(-6). 6 Suppose -4*o = -3*z + 8 + 4, -3*o = -5*z + 9. Suppose z = 4*l - 0 - 4. Let n(i) = 5*i**3 + i - 2*i**2 - 1 + 1. What is n(l)? 4 Let z(j) = 15*j - 5. Let q(w) = -7*w + 2. Let b(s) = 7*q(s) + 3*z(s). Let m(y) = 2*y + 1. Let p = -3 + 2. Let n be m(p). Calculate b(n). 3 Suppose -3*h + 11 = -w, -2*w = 5*h - 6*w - 16. Let c(l) = -1 + 2 + h*l - 2. Suppose -g + 6*g = 5. Give c(g). 3 Let q = -9 + 13. Suppose q*i - 4*r = -0*r + 36, 3*i - 32 = 4*r. Let d(s) = -s**2 + 8*s - 3. What is d(i)? 13 Let k(f) = 11*f - 6. Let h(x) = -5*x + 3. Let a(r) = 9*h(r) + 4*k(r). Calculate a(8). -5 Let x = -3 - -4. Let p(a) = -54 + 5*a + 0*a + 53. What is p(x)? 4 Let g(d) be the second derivative of -d**5/20 - d**4/12 + d**3/6 + 15*d**2/2 + 2*d. Give g(0). 15 Suppose -i + 4*a = i + 16, -2*i + 14 = 2*a. Let m(x) = -13 + 2*x + 15 - 3*x**2 + x**2. Calculate m(i). -2 Let r be (0 - 0) + 2 - 2. Let c = r + 5. Suppose 0 = -c*f + f - 8, -j + 4*f = -7. Let d(y) = y**3 + y. Give d(j). -2 Let j(v) = v**3 - 6*v**2 + 2. Let m be j(6). Suppose 0*n - 2*n = 0. Let t(r) = m*r + n*r + 3*r. What is t(-1)? -5 Let f(x) = x**2 - 4*x + 3. Let j be f(3). Let t(n) = -2*n**2 + n + j*n - n**2 + 2*n**2 + 7. Calculate t(0). 7 Let m(u) = u**2 - 2*u - 1. Let x(s) = s**2 - 2*s**2 + 2*s - 5 - 8*s. Let f be x(-4). Give m(f). 2 Let r(y) be the third derivative of y**5/60 + y**4/24 - y**3/3 - 7*y**2. Calculate r(-2). 0 Suppose 4*h = -0 + 8. Let i(q) be the first derivative of 1/3*q**3 - 2*q**h - 7*q + 2. Give i(5). -2 Suppose 2*s + 23 = 5*o, 5*o - 5*s - 7 = 13. Let d(i) be the first derivative of 2*i**2 - 6*i + 1. Calculate d(o). 14 Let t(s) be the third derivative of -s**5/60 + s**4/12 + s**3/3 + s**2. Let v be 5/2 - (-1)/(-2). What is t(v)? 2 Let i(x) be the first derivative of -x**4/4 + 4*x**3/3 + 3*x**2 - 7*x - 1. Let q be (-26)/(-13) + 3 + 0. What is i(q)? -2 Let l = 6 + -16. Let c = l - -13. Let y(a) = -2*a. Determine y(c). -6 Let h be 7 + 5/(-9 - -4). Let w(k) = -k**3 + 7*k**2 - 2*k - 8. Give w(h). 16 Let w(x) = x. Let t(v) = 3*v**2 + 2*v + 1. Let j be t(-1). Give w(j). 2 Let j = 15 - 6. Let k(p) = -p**3 + 10*p**2 - 6*p - 9. What is k(j)? 18 Let y(l) = -4*l**2 - 4*l - 1. Let a(o) = -5*o**2 - 4*o. Let k(h) = 2*a(h) - 3*y(h). Let j = 1 + 0. Suppose j - 10 = 3*f. What is k(f)? 9 Let v(g) = -g + 8. Let n(r) = -r + 1. Let p(l) = 6*n(l) - v(l). Let c be (-2)/(-2) - (1 + -3). Let d = c + -5. Give p(d). 8 Suppose -20 = -2*q + 4*a, -3*a - 15 = 2*a. Let b(o) = 5*o**3 + 11*o**2 + o + 6. Let v(y) = 9*y**3 + 21*y**2 + y + 11. Let l(h) = 11*b(h) - 6*v(h). What is l(q)? 4 Let s(i) = -1 + 1 - i**2 + 1 + 1. Determine s(2). -2 Let w(c) = 5*c + 12. Let g(b) = 4*b + 11. Let s(p) = 6*g(p) - 5*w(p). Give s(0). 6 Let v(r) = -r**3 + 4*r**2 + 2*r - 6. Let c = -142 + 220. Let t be c/18 + (-2)/6. What is v(t)? 2 Let j(w) = -w**3 + 7*w**2 - 5*w + 9. Let v(m) = m**3 - 6*m**2 - 6*m - 1. Let f be v(7). Calculate j(f). 15 Let j(r) be the third derivative of 1/5*r**5 - 7*r**2 + 0*r + 0 + 0*r**4 + 1/6*r**3. Calculate j(-1). 13 Let d(h) = h**3 + h**2 + h + 8. Suppose -3*s = s - 12. Suppose -z + c + 4 + 1 = 0, -s*c = 3*z - 9. Suppose 0 = -z*u + 3*u. Give d(u). 8 Let h(q) = -q**3 - 6*q**2 + q + 3. Let d = -7 - -1. Let r be h(d). Let o be 1/(-3)*(-3 - r). Let y(s) = -s - 8. Calculate y(o). -8 Let p(s) be the first derivative of s**2 + s**2 - s**2 + 2*s + 2 + s. What is p(-3)? -3 Let l(j) = 5*j + 3. Suppose 17*g - 4 = 19*g. Calculate l(g). -7 Let c(o) = -o**2 + 2*o - 2. Let l(d) = d**2 - 1. Let i(n) = c(n) - l(n). Suppose -2*b = -b - 3*h + 3, -5*b + 17 = h. Calculate i(b). -13 Let d(q) be the third derivative of q**4/24 + 11*q**3/6 + 2*q**2 + 20. Calculate d(-7). 4 Let f be 2/7 + 19/7. Let i(a) = 0*a - 2*a + f*a - 2*a + 1. Let z(q) = 2*q - 7. Let d be z(6). Calculate i(d). -4 Let b(s) be the third derivative of -s**4/24 - 2*s**3/3 + 11*s**2. Calculate b(0). -4 Let p be 3/(-2) + 12/8. Suppose 4*o - 16 = -p. Let u(v) = -v + 4 + 0 + 2*v. Determine u(o). 8 Let l(m) be the third derivative of -m**5/60 - 5*m**4/24 - 2*m**3/3 + 5*m**2. What is l(-6)? -10 Let m(j) be the third derivative of j**4/8 - 2*j**3/3 + 2*j**2 + 44*j. Let p be 1/((-2)/(-10) - 0). Calculate m(p). 11 Let l(p) = 7*p + 1. Let i(z) be the third derivative of z**4/8 - 4*z**2. Let m(j) = -5*i(j) + 2*l(j). Give m(4). -2 Let b(n) = -14*n - n**2 + 1 + 3*n + 10*n - n**2. What is b(1)? -2 Let a = -15 - -15. Suppose -4*x = -a*d + 5*d - 33, 5 = d. Let j(g) = g**2 + g - 2. What is j(x)? 4 Let k(a) = -4 + 3*a - 1 + 3 + 4. Calculate k(2). 8 Let z(i) = -i**3 + 5*i**2 - 2*i + 5. Suppose 5*b - 3*p = 1, 3*b - 2*p + 1 = -2*b. Let f be 10/(-2)*(0 + -1). Let r be 3/((-3)/f)*b. Determine z(r). -5 Let n(m) = -m**3 - 5*m**2 - m - 3. Let g(x) = -2*x**3 - 11*x**2 - 2*x - 6. Let s(j) = 2*g(j) - 5*n(j). Calculate s(-3). 0 Let j(c) = 0*c + c + 1 + 0*c + 0*c. What is j(-6)? -5 Let i(f) = 2*f - 3. Let w be (-1)/3 - 10/6. Let n = w - -7. Suppose 0 = -g + 4*m + 2, -2*m - 10 = -n*g + 3*m. Calculate i(g). 1 Suppose 0 = -4*t + 8 + 12. Let g(q) = 2*q - 6. Give g(t). 4 Let k be (-4)/16*-4*5. Let o(x) = -9*x**2 + 3*x. Let t(d) = 10*d**2 - 4*d. Let h(m) = k*o(m) + 4*t(m). Let b = -2 - -1. Calculate h(b). -4 Let a(r) = 33 + 38 - 67 - r. Determine a(2). 2 Let d(t) = -5*t - 4. Let m(h) = h. Let q be ((-3)/(-2))/((-6)/(-4)). Let g(y) = q*d(y) + 6*m(y). Suppose 0 = -2*u - 0*u. Determine g(u). -4 Let h(u) be the first derivative of u**2/2 + 4*u - 13. Calculate h(5). 9 Let f(l) be the second derivative of l**3/6 + l**2/2 - 9*l. Let a be (-34)/(-6) + (-2)/3. Calculate f(a). 6 Let s(m) = -m**2 - m - 1. Let n(g) = -4*g**2 + 4*g - 8. Let l(h) = n(h) - 2*s(h). Let u(d) = d**2 + d + 2. Let y be u(-2). Calculate l(y). -14 Suppose -6 = 3*c - c + 2*j, 0 = c + 2*j + 4. Let n(p) = 5*p + 1. Calculate n(c). -9 Let t(x) = 3*x + 2. Let i = -3 - -1. Let m be t(i). Let a be (m/10)/((-2)/(-20)). Let z(y) = -y**2 - 2*y + 1. Determine z(a). -7 Let b(f) = -f**2 - f - 8. Suppose q - 2*c - 4 = 0, 4*q + q =
{ "pile_set_name": "DM Mathematics" }
er. 0.3, l, -5 Let v(b) = -4*b - 6. Let q be v(-5). Sort -4, q, 1 in increasing order. -4, 1, q Let m = 10 + -12. Sort m, 0, -0.07 in decreasing order. 0, -0.07, m Let x = -2.967 + -0.033. Sort x, -2, -4 in increasing order. -4, x, -2 Let g = 0.9 - 0.83. Let w = -0.23 - g. Sort 5, -2/5, w in descending order. 5, w, -2/5 Suppose -4*a + 3*u + 189 = -9*a, -2*a = -3*u + 84. Let z be (-3)/a*2/1. Sort -0.1, z, 1 in descending order. 1, z, -0.1 Let i = -109/6 + 18. Put i, -3, -5 in decreasing order. i, -3, -5 Let p = -1.2 - -1. Suppose -n + 2*n = 3. Put n, -2/13, p in ascending order. p, -2/13, n Let d(n) = n**2 - 12*n - 16. Let r be d(13). Let i = 0 - -0.3. Put i, 2/19, r in descending order. i, 2/19, r Let q(n) = -n**3 + 9*n**2 - 8*n - 3. Let a be q(8). Put 0, 3, a in decreasing order. 3, 0, a Suppose 4*j + 8 = 0, -3*m + 0*j + 5*j = -16. Suppose 0 = 2*u - 0*u - 4. Let i = -4 + u. Sort i, m, -3 in ascending order. -3, i, m Let s(o) = -o**2 - 3*o + 12. Let r be s(-6). Put r, -2, 4 in ascending order. r, -2, 4 Let y = 15 - 7. Let j = -10 + y. Sort 1/4, j, 11 in ascending order. j, 1/4, 11 Let i = 8 + -4. Suppose -i*a - 5 = -5*a. Sort 0, 2, a in descending order. a, 2, 0 Let s = 0.03 - -1.77. Let u = s + -0.8. Put 1/4, u, 2 in descending order. 2, u, 1/4 Let w(y) = y + 1. Let n be w(-5). Let q be (-6)/(-2) + -4 + 5. Suppose 0 = i - l + 4, -q*i + 3*i = -2*l + 7. Sort 2, i, n in ascending order. n, i, 2 Let c(l) = l + 12. Let j be c(-15). Suppose v + 10 = -2*w - 2*v, 0 = -3*v - 12. Suppose 0 = -0*n - 4*n + 12. Sort n, w, j in decreasing order. n, w, j Let f be 10/(-15) - (-46)/6. Let l = f + -4. Suppose a + a = l*s + 8, a - 18 = 5*s. Put -0.2, -1, a in increasing order. a, -1, -0.2 Let h(w) = w**2 - 3*w - 3. Let l be h(4). Let y be 150/(-35) + 2/7. Let c be 21/y - l/(-4). Sort -2, c, 4. c, -2, 4 Let z(h) = -h**3 + 4*h**2 + 4*h + 7. Let o be z(5). Let f be ((-1 - -1) + -3)*-1. Suppose -4*v - 23 = f*q, -4*q + 1 = -v + 19. Sort q, 3, o in decreasing order. 3, o, q Let k be (-2)/(-3)*(-45)/6. Suppose 0 = 3*h + 3*z + 6 + 6, -z + 4 = -h. Put h, 5, k in descending order. 5, h, k Let s = -0.035 + -0.045. Put -3, s, -2/3 in decreasing order. s, -2/3, -3 Let k = -12.4 + -1.6. Let o = k - -11. Put 3/7, o, 3/8 in increasing order. o, 3/8, 3/7 Suppose -5*f + 9 = -l, 5*l - 5*f + 3 = 38. Let x = -14 - -7. Let j = x + l. Sort 0, j, -1 in descending order. j, 0, -1 Suppose 0 = 3*q - 9 - 9. Suppose -f + 3*d - q*d = 14, -4*f - 16 = 2*d. Suppose -5*p + 0 + 10 = 0. Sort f, p, 3. f, p, 3 Let n(k) = k**2 + 3*k - 2. Let j be n(-2). Put j, -3, -2, 4 in decreasing order. 4, -2, -3, j Suppose 0 = -4*u + 3 - 11. Let c be 4 - (u - 0 - -3). Put 2/3, c, 0.1 in increasing order. 0.1, 2/3, c Let r = -2.9 - -3. Put 1/4, 1, r in descending order. 1, 1/4, r Let b(s) be the third derivative of -s**5/60 - s**4/6 + 2*s**3/3 - s**2. Let q(y) = y - 15. Let a be q(11). Let g be b(a). Sort -4, g, 5 in descending order. 5, g, -4 Suppose -q - 2 = -0*q - g, -q - 5*g - 2 = 0. Sort q, -4, 5 in descending order. 5, q, -4 Suppose n - x = -3*n + 2, -5*n + x = -2. Sort n, -14, 3, -1. -14, -1, n, 3 Let x = 9.5 + -7. Let a = 3 - x. Sort 5, 0, a in descending order. 5, a, 0 Let v = -164 + 163. Let b be ((-10)/6)/((-1)/(-3)). Put 4, v, b in decreasing order. 4, v, b Let o = -31 - -28. Sort o, -1, 2 in increasing order. o, -1, 2 Let c = -3 - -3.08. Let x = 0.22 + c. Let i = 2/95 + 184/285. Sort i, 0.4, x in descending order. i, 0.4, x Let z(s) = -s**3 + 5*s**2 + 4*s + 7. Let w be z(6). Suppose 5*a = v + 6, -4*v + 3*a = 4*a - 18. Sort -4, w, v in decreasing order. v, -4, w Suppose -5*h = -2*f + 32, 5*f - 7*h - 46 = -3*h. Suppose f = g + 2*g. Let x be 6/(1 - 0) + -1. Sort x, 0, g in descending order. x, g, 0 Let q = -6 + 9. Let u = -0.5 - 3.5. Put u, -2, q in increasing order. u, -2, q Let k be (-2 - (-60)/35)/((-2)/28). Put k, -1, -12 in decreasing order. k, -1, -12 Let k(h) = 6*h**2 + 31*h + 1. Let u be k(-5). Sort 2/9, 3/5, u, -3 in decreasing order. 3/5, 2/9, -3, u Let k = 4 + -3.9. Let w = -71 - -66.1. Let u = w - k. Sort u, 3, -2 in decreasing order. 3, -2, u Let y(w) = -w - 3. Let b be y(4). Let c = -4 - b. Sort c, -0.1, 2 in decreasing order. c, 2, -0.1 Let t = -0.12 - -0.42. Sort t, -2/5, -2/3, 5/3 in descending order. 5/3, t, -2/5, -2/3 Suppose -2*u - 17 = -5*i - 3*u, -4*u + 20 = 4*i. Let f be i/(-4)*(-16)/(-24). Sort -0.4, f, 2/11 in decreasing order. 2/11, -0.4, f Let j(c) = -2*c**3 + 1. Let u be j(1). Suppose 2*f + 5*q - 55 = -f, 15 = 2*f - q. Suppose f = -4*r - r. Put -5, u, r in increasing order. -5, r, u Suppose c + 0*c = -i + 102, 306 = 3*c - 3*i. Sort c, -2, 3, 1. -2, 1, 3, c Let d = 46 + -147. Let f = d - -36. Let b be f/20 - (-3)/(-4). Put 1, b, -2 in decreasing order. 1, -2, b Let g = -0.8 + 0.84. Let o = 3.96 + g. Let x be ((-1)/(-18))/((-1)/2). Sort o, 0.4, x. x, 0.4, o Let d be ((-2)/(-8))/(((-27)/(-24))/3). Sort 2/11, d, 2, -1 in descending order. 2, d, 2/11, -1 Let j = -1.6 - -7.6. Let p = j - 3. Let o = p - 8. Sort 1/9, -4, o in decreasing order. 1/9, -4, o Suppose 0 = -r + 5 - 0. Let n = -7 - -27. Suppose -r*t = -t + n. Put 6, t, -2 in increasing order. t, -2, 6 Let b(k) = 2*k - 32. Let y be b(16). Sort y, 4, -2. -2, y, 4 Let l = 0.6 - 9.6. Let b = l + 8.6. Sort b, 2/5, 3 in descending order. 3, 2/5, b Let b = -5 + 0. Let x = -1/11 + 27/55. Sort 3/14, b, x in ascending order. b, 3/14, x Let c be (-2)/(-2) + -3 - (-3)/2. Put -18, 0, c, -2 in increasing order. -18, -2, c, 0 Let z = 12 - 6. Let c = z - 6. Sort 1, c, -2 in increasing order. -2, c, 1 Let r(x) be the third derivative of x**5/120 + x**4/12 - x**3/6 + x**2. Let w(f) be the first derivative of r(f). Let g be w(-6). Sort g, 3, 1/4. g, 1/4, 3 Let m = 0.17 - -0.03. Let r = 340 - 334.97. Let o = -0.03 + r. Put 0.3, m, o in decreasing order. o, 0.3, m Let b = 0.25 - -0.25. Sort -10, b, -0.4. -10, -0.4, b Let y(b) = -b**2 - b - 4. Let o be y(0). Let r be (8/(-6))/(1/6). Let p = r - -6. Sort o, -5, p in decreasing order. p, o, -5 Let w = -47.3 - -47. Sort w, 8, -5, -2 in ascending order. -5, -2, w, 8 Let s be (-6)/9 - (-32)/(-6). Let n = -5 - s. Let v = 0 + n. Put 5, 2, v in descending order. 5, 2, v Let i = 1/50 + -53/150. Let r = -2 - -1. Let p(w) = -4*w**3. Let k be p(r). Sort i, -2, k. -2, i, k Let t = 50 + -54. Sort -6, -2, t in descending order. -2, t, -6 Suppose -5*u - 34 = 4*l, -5*u - 28 = 2*l + l. Sort 5, l, -5. l, -5, 5 Let l be 7/2 - 2/4. Let w = 0 + 4. Suppose 0*j + j = -5. Sort j, w, l in decreasing order. w, l, j Let j be 3 - 1*(-2 - 1). Let z = j - 3. Suppose -p = -z + 7. Put 2, p, -2 in decreasing order. 2, -2, p Let s be (-315)/2136 + (-2)/(-16). Let v = 204/1157 + s. Sort v, -1, 0.2 in descending order. 0.2, v, -1 Suppose -2*m = 3*b - 8, -20 + 0 = -5*m. Suppose -10 = -2*h + 5*t, b = -4*h - 4*t + 8 + 12. Put 8, h, 2 in decreasing order. 8, h, 2 Let l be 2/5*5*(-1 - -2). Put l, 7, 0 in ascending order. 0, l, 7 Let v = 38 - 40. Put v, -3, 5 in ascending order. -3, v, 5 Let b(q) = -q + 3. Let a be b(3). Put -3, a, 7 in descending order. 7, a, -3 Let m = -6.3 + 6. Let c = m - -4.3. Put 1, c, 0.3 in increasing order. 0.3, 1, c Let r(v) = -v**2 + v + 3. Let l be r(2). Sort l, 9, 3 in decreasing order. 9, 3, l Let c = -11 - -8. Let o be (-14)/(-2)*(-18)/(-21). Suppose -g = -2 + o. Sort g, c, -5 in decreasing order. c, g, -5 Let l = 69/85 - 24/17. Let q = 1.7 + -2. Sort q, l, 0.2 in increasing order. l, q, 0.2 Suppose -3*j + 5 - 2 = 0. Let a(w) = -w - 6. Let y be a(-5). Suppose 0 = -6*l + 5*l. Sort y, l, j in increasing order. y, l, j Let y = 2.4 - -0.6. Let i = 1 + 2. Let f = i - 3. Sort f, -2, y in increasing order. -2, f, y Let a be 3/12*(-8)/(-7). Let r(w) = -w**3 - 2*w**2 - w - 1. Let d be r(-2). Let z = d + 3. Sort a, z, -3 in ascending order. -3, a, z Let v = -0.2 - 0.8. Let w = 0 + v. Let i = 19 - 96/5. Sort w, -0.4, i in decreasing order. i, -0.4, w Let g be 4/(-10) + 36/15. Suppose k + 2*k + 4*d - 7 = 0, g*d - 5 = -3*k. Suppose -4*w = -w. Put -3, w, k in descending order. k, w, -3 Suppose -224 = -4*k - 2*z, k + 5*z = 6*k - 295. Let o be (-3)/4 - k/(-12). Suppose -l = -2*l - o. Put 3, l, 4 in increasing order. l, 3, 4 Let d(f) = -f**2 - 3*f - 1. Let p be d(-3). Let r be -7 + 6 - (p - -3). Sort -2, r, -0.5. r, -
{ "pile_set_name": "DM Mathematics" }
209/18 + -11/9. Calculate the common denominator of 2/(-7) + (-996)/(-105) and k. 30 Let c = -3044023/6 + 509278. Let j = 1928 - c. Calculate the common denominator of j and 109/6. 6 Let x(b) = b**3 - 9*b**2 + 12*b. Let m be x(8). Suppose j - m = 4*n, n + 15 + 26 = 3*j. Let q = j - 2. What is the smallest common multiple of 4 and q? 20 Let t(j) = 11*j - 4. Calculate the least common multiple of t(2) and 16. 144 Let h = 15/203 - -3001/6090. Find the common denominator of 55/14 and h. 210 Suppose j = 4*j - 3*y + 6, 5 = -5*j + 4*y. What is the common denominator of 2 + -47*1/(-10) and (j/(-1))/((-24)/57)? 40 Let w = 97 + -93. What is the smallest common multiple of 4 and w? 4 Let y be (((-10)/(-41))/2)/(-7). Let a = -12079/1435 - y. Calculate the common denominator of a and 28. 5 Suppose 0 = 2*c - 5*t + 47, 72 = -5*c - t - 113. Calculate the common denominator of c and (-176)/(-9)*(-1)/(-4). 9 Let d = -46 - 10. Let j = -38 - d. What is the least common multiple of 10 + -3*((-16)/(-12) + 0) and j? 18 Let g = -1 - -19. Let k(n) = n**3 + 2*n**2 + 4*n - 10. What is the least common multiple of k(2) and g? 126 Let o = -8752 - -61618/9. Let p = -1898 - o. Calculate the common denominator of p and -5/9. 9 Let x = 2/5961 - 40405/7948. What is the common denominator of x and -61/20? 60 Suppose 0 = -4*a - n + 53, 2*a - 5*n + 1 = -0. Suppose 2*l + 38 = 5*w, 0 = 4*w - l - l - 30. What is the least common multiple of w and a? 24 Suppose 2*i - 2*k - 56 = -2*i, 0 = -4*k. Let n be i + (6 - 9/3). Suppose n - 3 = u. What is the smallest common multiple of u and 12? 84 Suppose 3*q - 30 = -3*o, 3*o - 9 = 2*q + 11. Find the common denominator of (-2)/o + (-52)/6 and 61/2. 12 Let m = 7 - 2. Calculate the lowest common multiple of m and 6. 30 What is the lowest common multiple of (1/(-3))/(2/(-42)) and 11? 77 Suppose -3*d - 3*d = 150. Calculate the common denominator of 40/11 and d. 11 Suppose -c = u + 3*u - 12, 12 = -4*u + 5*c. Let w = 4 - u. What is the least common multiple of 16 and w? 16 Suppose 82 = -6*v + 250. Calculate the smallest common multiple of 36 and v. 252 Let v = 31 - 20. What is the least common multiple of v and 4? 44 Let o = -13 - -21. Suppose -o*p = -9*p + 8. Suppose 0 = -t + 4*q - 2, 0 = -2*t - 7*q + 2*q + 35. Calculate the lowest common multiple of p and t. 40 Let y = -10 - -20. Let s(t) = t**2 - 15*t + 2. What is the smallest common multiple of y and s(15)? 10 Let f = 14 - 12. Let o = 6 - f. What is the lowest common multiple of 10 and o? 20 Suppose 0*s - 2*s = -4. Calculate the common denominator of 5/(-45) + s + -1 and -1*2/16*-61. 72 Calculate the common denominator of -1 + 17*4/(-80) and 2/8 + 645/100. 20 What is the common denominator of ((-623)/(-6))/7 - 2 and -54/7? 42 Let f = -8574/11 - -777. What is the common denominator of f and (-3)/(-27)*1*33? 33 Suppose -2*c = -4*t - 8, -4*c + 4*t - 7 + 31 = 0. What is the least common multiple of 36 and c? 72 What is the common denominator of 47/3 and 803/55*(-10)/(-16)? 24 Suppose -2*x = 2*x + 8. Let g be (x/1 - -1) + 0. Calculate the common denominator of 61/20 and g/15*(-870)/12. 60 Suppose -5*h = 3*u - 2*u + 6, 5*u = -4*h - 9. Calculate the common denominator of (-11)/((-484)/(-24)) - u and -121/10. 110 What is the common denominator of (-3 + 45/16)*92 and ((-3)/(-15))/(1/(-4))? 20 Let h = 7 - 13. Suppose -c + 16 = 3*c, -2*o + c + 6 = 0. Calculate the lowest common multiple of 8 and (h/o)/(9/(-30)). 8 Let l(q) = -52*q - 1. Let o be l(-1). Suppose -3*v + 14 = -4*s + o, -5 = -2*s - 3*v. What is the smallest common multiple of 3 and s? 21 Let b = 1543/9 - 523/3. Calculate the common denominator of b and 169/30. 90 Let z = 29 + -13. Find the common denominator of -69/10 and 460/(-54)*(-12)/z. 90 Suppose -24 = 5*j - 5*c + 16, -4*j - 2*c - 44 = 0. Calculate the lowest common multiple of 75/6*(-8)/j and 5. 10 Let q = 0 + 5. Suppose q*n = 25, -h - 2*n = h - 12. Suppose 2*s - 31 = h. What is the least common multiple of s and 22? 176 Let m = -130337/10 + 13044. Let u = 1240/7 - 6452/35. Find the common denominator of m and u. 10 Let c(p) = -p**3 - 4*p**2 + p + 5. What is the least common multiple of c(-4) and 10? 10 Let d = -6/1927 + 152449/69372. Calculate the common denominator of -3/2 and d. 36 Let k be 3 - (1689/396 + -1). Let o = 419/66 + k. What is the common denominator of o and 21/16? 48 Let x = 5 + -2. What is the common denominator of 1*1/x*-7 and -11/3? 3 Let i be (126667/(-698) + -3)/(-45). Let u = 14195/4 + -44586487/12564. Let d = u + i. Find the common denominator of -18 and d. 10 Let c = 30 - 19. Suppose -4 = -5*y - 4*u + 3, -3*u = -4*y + 18. What is the smallest common multiple of y and c? 33 Let w = 2591/70 - 180/7. Calculate the common denominator of 23/14 and w. 70 Let c = -2 - -2. Suppose 0*g - 3*g + 28 = 4*z, c = -2*g + 4*z + 12. Suppose 0 = -2*f + 4*f - 36. What is the least common multiple of g and f? 72 Suppose -f + 5*x = -0*f - 49, 0 = 4*x + 20. What is the common denominator of ((-156)/(-40))/(f/(-10)) and 22/3? 24 Let t(q) = -q**3 - 2*q - 1. Let l be t(-3). Suppose -2*g = -3*d - 7 - 11, -4*g + l = -4*d. Calculate the least common multiple of g and 22 + -24 + (1 + 0 - -6). 30 Calculate the smallest common multiple of (2 - 3)/((-1)/10) and 40. 40 Let q = -1944 + 19423/10. Let j = 89/5 - q. What is the common denominator of 59/16 and j? 16 Let o = 11650/6369 - 84/193. Calculate the common denominator of 13/18 and o. 198 Suppose 0 = n - 5*r - 31, -6*r = -2*r + 20. What is the smallest common multiple of n and 3? 6 Let a be -5 - -1 - -2 - 9. Let x = a + 15. Calculate the least common multiple of x and 4. 4 Let d = -952615 + 10470227/11. Let l = 777 + d. Let y = -3341/6 + 555. What is the common denominator of y and l? 66 Let x = -7 + 12. Suppose -5*w + 4*r + x + 1 = 0, 0 = -w + 2*r. Suppose w*b - 2 = 2. What is the least common multiple of b and 4? 4 Let t(f) = 4*f**2 + 3*f - 1. Calculate the least common multiple of 8 and t(1). 24 What is the common denominator of 80/33 and (6 - 16/2)/(48/122)? 132 Suppose 3*o = -2*o. Suppose -3*n - n - 120 = o. Find the common denominator of (-17)/n - 4/10 and -39/7. 42 Let h = -1/493 - 9359/3944. Calculate the common denominator of h and -1 - 23/5 - 0. 40 Let k(i) = 4*i - 3. Let v(w) = 3*w - 4. Let j(h) = -5*k(h) + 4*v(h). Let u be j(7). Find the common denominator of 29/12 and (u/30)/((-2)/25). 12 Suppose 3*r = 59 + 1. Let k = 10 + -2. What is the smallest common multiple of r and k? 40 Let h(p) = -2*p**2 - 3*p - 2. Let x be h(-2). What is the common denominator of (-1 - 142/x) + 1 and -109/6? 6 Let q = 6 - 2. Suppose -5*b = -3*b - q. Calculate the smallest common multiple of 9 and b. 18 Let y(s) be the first derivative of -s**3/3 + 7*s**2/2 - 5*s + 2. Let w be y(6). Find the common denominator of 244/56 + -2*w and -85/8. 56 Find the common denominator of (105/12 - -3) + 2/4 and -103/34. 68 Let r = -7852578/239 + 18537909215/564518. Let m = -2/1181 - r. Calculate the common denominator of (-124)/(-42) - 6/21 and m. 6 Suppose 0 = -n + 12 - 10. What is the least common multiple of n and 7? 14 Let i(n) = -2*n - 12. Let u be i(-10). Let h = 1328/45 - 187/5. Calculate the common denominator of h and (u/84)/1*-36. 63 Suppose 3*w - o - 17 = 0, 2 - 43 = -4*w + 5*o. Suppose -w*h - 4 = -0*h. What is the least common multiple of h - (2 - 8 - 1) and 7? 42 Let c be (-9 - 1)*(-1)/(-2). Let o = -3 - c. Calculate the smallest common multiple of 4/((-1 + o)/2) and 4. 8 Let u = -10961/88 + 1234/11. Find the common denominator of u and 25/18. 72 Let d = 18519/1970 - 138/197. Find the common denominator of 37/13 and d. 130 Let w(q) = 4*q**2 + 1. Let v be w(-1). Suppose -v*f + 3*b = 4*b + 3, 5*b + 15 = 2*f. Calculate the lowest common multiple of f + (0 - 1 - -7) and 9. 18 Let o = -326327/12924 - 1/3231. What is the common denominator of o and 498/4*2/24? 8 Let m(v) = -v + 15. Let y be m(7). Let r(o) = o - 8*o - 3*o**3 + 2*o**3 - y*o**2 + 8. What is the smallest common multiple of 22 and r(-7)? 88 Calculate the common denominator of (-50)/148*456/120 and 59/14. 518 Suppose 0 = 6*n + n - 294. Calculate the smallest common multiple of 10 and n. 210 Let c = -6589/14 - -469. What is the common denominator of (1 - (-36)/(-32))/(2/(-108)) and c? 28 Calculate the c
{ "pile_set_name": "DM Mathematics" }
+ 5. Let j(f) = -4597*f**3 + 10*f**2 + 118*f - 8. Let a(d) = 5*j(d) + 8*t(d). What is the third derivative of a(b) wrt b? 9258 Let y = -76 - -80. What is the second derivative of 7*f + 0*f**y - 8*f**5 + 9*f + 2*f**4 + 12*f wrt f? -160*f**3 + 24*f**2 Let t(c) be the first derivative of 11*c**6/360 + 4*c**4/3 - 2*c**3 - 5*c - 91. Let h(x) be the third derivative of t(x). What is the derivative of h(f) wrt f? 22*f Let p(h) be the third derivative of -h**6/30 + 59*h**4/4 - 1175*h**3/3 - 66*h**2 - 7. Differentiate p(j) with respect to j. -12*j**2 + 354 Let a(c) = 1501*c**4 + 19*c + 6189. Let w(p) = -500*p**4 - 6*p - 2061. Let j(s) = -6*a(s) - 19*w(s). Find the first derivative of j(f) wrt f. 1976*f**3 Let h(g) = 995*g**4 + 413*g**2 - 7*g + 10. Let v(o) = -994*o**4 - 412*o**2 + 6*o - 8. Let b(f) = -4*h(f) - 5*v(f). What is the third derivative of b(d) wrt d? 23760*d What is the third derivative of 2070*d**2 - 1 + 13*d**6 - 1391*d - 2071*d**2 + 19*d**4 + 475*d wrt d? 1560*d**3 + 456*d What is the third derivative of -13*a**2 - 2*a - 25*a**2 + 8*a**2 + 149*a**2 - 3798*a**5 - 59*a**5 wrt a? -231420*a**2 Let r = -25319 - -50669/2. Let u(y) be the second derivative of 0*y**3 + 0 - 14*y - 13/12*y**4 + r*y**2. What is the first derivative of u(m) wrt m? -26*m Let r(k) be the second derivative of 0 + 0*k**2 - 1/30*k**6 + 41/12*k**4 - 1/4*k**5 - 136*k + 0*k**3. What is the third derivative of r(q) wrt q? -24*q - 30 Differentiate -3776 - 537 - 168*g**2 - 285*g**2 + 840 - 3483*g**2 with respect to g. -7872*g Let b be (-6)/(-42) - 20/(-7). Suppose 0 = 3*w - 3*s + 3, -3*w - b*s + 0*s = -15. Find the third derivative of 19*o**w - 27*o**4 + 34*o**6 + 27*o**4 wrt o. 4080*o**3 Let o(d) = -3*d**2 + 2*d. Let z(l) = -11*l**2 - 64*l - 1621. Let y(c) = -5*o(c) + z(c). Differentiate y(a) with respect to a. 8*a - 74 Let s(o) be the first derivative of -3771*o**5/5 + o**3 - 358*o + 3609. What is the third derivative of s(j) wrt j? -90504*j Let l(a) = -a**3 - 8*a**2 + 7*a + 3. Let k be l(-8). Let r = k - -61. Find the first derivative of -r + 0 + 12*d**2 + 3 wrt d. 24*d Let m(k) = 588*k**2 - 18*k - 3527. Let n(l) = -591*l**2 + 12*l + 3525. Let z(a) = -2*m(a) - 3*n(a). Find the first derivative of z(x) wrt x. 1194*x Suppose -40*h - 10 = -90. Let l(k) be the first derivative of 0*k**4 + 0*k**5 - 5 + 0*k + 0*k**3 - 4/3*k**6 - 6*k**h. Find the second derivative of l(x) wrt x. -160*x**3 Let k be 2/(6/27) + 3. Suppose -2*r - 12 = -3*g, -3*r = -2*g - g + 15. Differentiate -4*j - k + 8*j + g with respect to j. 4 Let h(i) be the first derivative of 1889*i**5/5 + i**4/2 + 704*i**3 + i**2 - 8890. Find the third derivative of h(d) wrt d. 45336*d + 12 Let s(p) = -7*p + 104. Let v be s(14). Find the first derivative of -4 - 2*i - 119*i**3 + v - 54 + 2*i wrt i. -357*i**2 Differentiate -879*s**3 - 466 - 297 - 580*s**3 wrt s. -4377*s**2 Let a(i) be the first derivative of -4*i**5/5 + 189*i**4/4 + 2247*i - 1581. Differentiate a(j) wrt j. -16*j**3 + 567*j**2 Let x(h) = 22*h**2 + 3*h. Let c(p) = 3740*p**2 - 41*p + 33. Let v(j) = c(j) + 2*x(j). What is the second derivative of v(r) wrt r? 7568 Let d be -6 + 5 - (-9 - -1). What is the second derivative of -13 - 6 - 5*u + 2*u**2 + 30 - 3*u - d wrt u? 4 Let i(u) be the third derivative of 65*u**2 + 0 - 13/15*u**5 + 0*u**4 + 0*u + 13/42*u**7 + 0*u**3 + 0*u**6. What is the third derivative of i(c) wrt c? 1560*c Let y = 942 - 940. Let a(n) be the first derivative of y - 9*n - 13/2*n**2. What is the derivative of a(o) wrt o? -13 Let k(b) = -13*b - 2. Let t be k(-1). Let d(u) be the first derivative of t*u**2 + 121*u - 62*u - 81*u + 22. Find the first derivative of d(p) wrt p. 22 Let l be 0 + (-4 - -6 - -80). Differentiate -15 + 50 + 12 - l*h with respect to h. -82 Let s(i) = -965*i**4 - 6*i**3 - 42*i + 1522. Let f(y) = -964*y**4 - 5*y**3 - 35*y + 1522. Let w(x) = -6*f(x) + 5*s(x). Differentiate w(h) with respect to h. 3836*h**3 Let y(h) be the first derivative of 5339*h**4/2 - 4*h**3 - 251*h - 8026. What is the third derivative of y(b) wrt b? 64068 What is the first derivative of -964 - 28*b + 1842 - 994 - 16*b**2 - 822 wrt b? -32*b - 28 Let u = -97 + 100. Suppose -h + u = 2*p - 3, -4*p + 12 = -5*h. What is the second derivative of h*o - 21*o**5 - 5*o - o - 6*o wrt o? -420*o**3 Let l(j) be the third derivative of -53*j**7/70 + 7*j**5/60 + 434*j**3/3 - 21*j**2 - 3*j. Differentiate l(c) with respect to c. -636*c**3 + 14*c Let i(w) = 2627*w**4 + 3*w**3 + 3*w**2 - 63. Let o(f) = f**3 + f**2 - 20. Let p(r) = -2*i(r) + 6*o(r). Find the first derivative of p(n) wrt n. -21016*n**3 Let v = 54 - 52. What is the third derivative of 6*u**3 + 4*u**3 + 6*u**3 - 24*u**2 - v*u**4 - 17*u**3 wrt u? -48*u - 6 Let n = 16 - 14. Suppose 18 = 4*b + o, n*b - 3*b - 3*o = -10. What is the first derivative of 34*y**4 + 2 + 11 - 23*y**b wrt y? 44*y**3 Suppose 8*c - 1 = 7*c. Find the second derivative of 22*d**4 + 16*d**4 + 46*d**4 - c + 9*d wrt d. 1008*d**2 Let c(q) = -q + 1. Let g = 156 - 142. Let y(m) = -25*m - 18. Let l(r) = g*c(r) + 2*y(r). What is the derivative of l(f) wrt f? -64 What is the derivative of -394461*x**2 - 395875*x**2 - 5945 + 789324*x**2 wrt x? -2024*x Let q(s) be the third derivative of -s**3/6 + 3*s**2 - 2*s. Let g = 12 + -8. Let t(x) = 23*x + 11. Let n(u) = g*q(u) + t(u). Differentiate n(m) wrt m. 23 Let d(x) = -16117*x**3 - 25*x**2 + 19888. Let o(h) = -2686*h**3 - 4*h**2 + 3315. Let j(c) = -4*d(c) + 25*o(c). Find the first derivative of j(y) wrt y. -8046*y**2 Let u = 14 - 9. Suppose -2*j - u*g + 3*g = -20, 3*j + 4*g - 35 = 0. What is the derivative of 24 - 42 - 18*p + j*p wrt p? -13 Let m(w) be the second derivative of 603*w**5/10 + 41*w**3/3 - 17*w**2/2 - 5869*w. Find the second derivative of m(b) wrt b. 7236*b Differentiate -1791 - 115259*q + 118430*q + 147 with respect to q. 3171 Let q(y) = 3*y**4 - y**3 + 3. Let d(n) = 2002*n**4 - 7*n**3 + 3646. Let h(p) = -d(p) + 5*q(p). Differentiate h(l) with respect to l. -7948*l**3 + 6*l**2 Let c(y) = 297*y - 4546. Let q(z) = -147*z + 2274. Let a(o) = 4*c(o) + 9*q(o). Differentiate a(v) with respect to v. -135 Let v(c) be the third derivative of c**5/60 + 93*c**4/2 - 3359*c**3/6 - 4710*c**2. Find the first derivative of v(l) wrt l. 2*l + 1116 Let o(y) be the first derivative of 2/3*y**3 - 2*y**2 + 91 - 200*y. What is the first derivative of o(p) wrt p? 4*p - 4 Let n(y) be the third derivative of -115*y**6/12 - 4*y**4/3 - 400*y**2 + 2*y. What is the second derivative of n(k) wrt k? -6900*k Let q = 62 + -56. Suppose -2*b - 1 = -5. Find the third derivative of 832*k**5 - 13*k**q - 832*k**5 + 4*k**b wrt k. -1560*k**3 What is the second derivative of 74*p**2 + 23*p + 217*p**2 + 374*p**2 - 8*p - 16*p - 5 wrt p? 1330 Let y(z) be the second derivative of -1877*z**6/15 - 673*z**4/2 - z**3/6 + 291*z + 10. What is the third derivative of y(s) wrt s? -90096*s Let a = 21 + -18. Find the first derivative of 39*c**3 + 35*c**3 + 34*c**a - 103 + 3*c**3 wrt c. 333*c**2 What is the derivative of 2633 - 776*a - 1468*a - 674*a wrt a? -2918 Suppose -2*n - 4*y + 28 = 0, 4*y - 12 = 2*n - 0*y. Let s = -381 + 390. What is the derivative of -s - 126*d**4 + 64*d**4 + 68*d**n wrt d? 24*d**3 Let g be 1*(7 + -4)*3. Find the second derivative of 20*w**2 + 2*w**2 + 45*w**2 + 4 + g*w wrt w. 134 Find the third derivative of 523 - a**2 - a**5 + 37*a**3 + 341 - 65*a**3 wrt a. -60*a**2 - 168 What is the third derivative of -2*x - 188*x**2 - 349 + 251 - 3692*x**3 + 102 wrt x? -22152 Let u = 10 - -44. Suppose 4*c - u = -5*l, 21 = 3*c - 5*l - 2. What is the second derivative of -c*d + 13*d**2 + 4*d**2 + 4*d**2 - 4*d**2 wrt d? 34 Let n(u) be the second derivative of -68*u**4 + 775*u**2/2 - 855*u. What is the first derivative of n(z) wrt z? -1632*z Suppose 6 = -3*a - 4*v, -9*v + 9 = -12*v. Let n(j) be the first derivative of 7/5*j**5 + 0*j**3 - 3 - 20*j + 0*j**a + 0*j**4. Differentiate n(o) wrt o. 28*o**3 Suppose -u = -3*i + 5, -5*i + 5*u = 8*u - 27. Let g be 3 - i/((-30)/(-16) + -2). What is the second derivative of -31*w**2 - 18*w - 26 - g + 53 wrt w? -62 Let w = 105 - 47. Let r(p) = 4*p**2 - 123*p - 122. Let f be r(-1). What is the derivative of 16 - w + 17 - f*v wrt v? -5 Differentiate -430*a**3 + 361*a**3 + 4634 - 603*a**3 wrt a. -2016*a**2 Let
{ "pile_set_name": "DM Mathematics" }
137 - 62)? 65 Evaluate -10 + (-1 - -4) + (10 - 26 - 13) + 175. 139 Calculate (8 - 13 - (6 - (-1 - -21))) + 3. 12 (17 + 1 - 2) + (-356 - -347) - (1 - -19) -13 Calculate -49 + -4 - (2 + -7 + (1 - -10) - 12). -47 Calculate 21 + 12 + -39 - -49. 43 Calculate (37 - -12) + (10 - ((-3 + 6 - -3) + 0)). 53 Calculate 193 + -187 - (6 - 6 - -31). -25 What is the value of -1 + 4 + -31 + 130 + -86 - (119 + -5)? -98 What is the value of -17 - -61 - (33 - -27 - 28)? 12 Evaluate (18 - 1) + -335 + 443 + -33 + -2. 90 -13 - -1 - (4031 + -4027) -16 What is -56 + (-48 - (-47 + -103))? 46 Calculate 5096 + -5094 + (-2 + 0 + 3 + -1 - -41). 43 Calculate 4 - -16 - (76 + -16). -40 Calculate (1069 - 1081) + (3 - (6 - -2)). -17 What is the value of 20 - 25 - (2 + 2) - (-250 - -343)? -102 What is 1 - (-80 - -42 - -65)? -26 Calculate (37 - 39) + (-4 - -2 - 23). -27 Evaluate 4238 + -4298 - (-50 - 2). -8 (-1 - -1) + -45 - (-1 + 38 + (9284 - 9316)) -50 What is -1 + -8 + 2 + (30 - 21 - 41)? -39 What is the value of (-1 - -17) + -7 + -9 + (124 - 114)? 10 Evaluate (18 - ((37 - 10) + 5)) + 33. 19 What is -49 - (0 - 4) - -9? -36 What is the value of -11 + (33 - 49 - -24) + 48? 45 Evaluate 1 + (-10 - (-5 - 21)) + (20 - -2). 39 Evaluate -31 + (-1 - -8) + (-8 - 8). -40 Calculate 26 + 11 + -2 - -44. 79 Calculate 39 + 44 + -96 + -29. -42 What is -19 + -8 + 29 + 51? 53 Calculate 15 - (60 + -29 + 30). -46 Calculate 31 - ((110 - 0) + (-243 - -259)). -95 (-8 + 1 - 3) + (125 - 150 - (-2 - -7)) -40 What is the value of (-25 - -166) + (-924 - -773)? -10 Calculate 701 - 808 - (-1 - -12) - 39. -157 What is the value of 0 + -31 - (-59 - -101 - 5)? -68 Evaluate (-8 - 88) + (38 + 5 - (-8 + 34)). -79 -24 - (-12 - 4) - (-32 + 0 + (38 - 43)) 29 What is (99 - 105) + (-3 - -1) + 3 - -51? 46 Calculate 790 - 740 - (-2 - -5). 47 19 - ((16 - 11) + (-6 - (0 - 11))) - -45 54 Evaluate 15 + -65 + -30 + -9 + 25. -64 37 - (-15 + -2 + (5 - 2)) - -18 69 What is -16 - (-39 + 52) - -50? 21 Calculate (6 - -35) + 0 + (-32 - -27 - -25 - 9). 52 What is 27 - (-24 - (-16 - 24))? 11 Evaluate (10 - ((12 - 14) + -2 + (-15 - -11))) + 12. 30 Evaluate (-18 + -56 + -22 - -2) + 17. -77 Calculate 107 + -3 + 179 + -226. 57 (3 + -1 - (-35 + 9 + 36) - -15) + 35 42 What is -8 - 18 - -125 - (-38 - -39)? 98 Calculate 1 + 2 - (6 + 2 + 3 + -2 - 47). 41 Calculate -58 - (25 + -90) - (0 - -26) - -21. 2 What is the value of -1 + -3 + 11 + (13 - 5) + -24? -9 Evaluate 44 - (65 - 13) - (14 - 5). -17 Calculate 0 + -10 - (5 + 4 + -13 + 27 - 0). -33 34 + 41 + 5 - 31 49 What is 20 + -170 + 39 - (-6 + 20 - 0)? -125 Calculate (1 - -38) + (-19 - -27 - (1 - -22 - 7)). 31 What is the value of -19 + (24 + -12 - (29 - (-7 - -13)))? -30 What is the value of -30 + 7 + -40 - (-11 - (5 + -7))? -54 Evaluate 1234 - 1213 - (0 - 11 - 0). 32 What is the value of 39 + (-23 + 20 + -83 - 0)? -47 Evaluate 0 + -2 + 1 + -124 + 111 - (-4 - -6). -16 Evaluate 24 + -1 + -60 + (5 + -3 - -1 - -8). -26 Calculate (32 - (-35 + 27)) + (0 - -9) + -3. 46 Calculate (12 - (21 - -10)) + (2 - -8). -9 Calculate (71 - 71) + (17 - (7 - (3 + -1))). 12 What is (-219 - -227) + (7 + -6 - -3 - 42)? -30 Calculate -61 - (-2 + (-3 - (-2 - -11 - (-17 + 23)))). -53 -39 + 15 + 6 + (3 - 9 - -7) + -7 -24 What is (11 - (-1 - -4)) + (-2 - ((29 - 6) + -5))? -12 -62 + 1 + 0 + 4 - (1561 + -1559) -59 Calculate 7 - (-16 - (-1 - -1 - (-9 - (-21 - 0)))). 11 What is the value of (10 - -1) + (4627 - 4669)? -31 What is the value of -45 + -13 + (43 - (-8 - -27))? -34 What is -22 - -2 - (-38 - -102 - 82)? -2 Calculate (66 - (14 + -1 + -5)) + (16 - 9). 65 What is the value of 92 - (3 - 2 - (-5 - -11) - (-26 - -24))? 95 What is (24 - (-28 + 37) - (100 + -4)) + (-1 - -16)? -66 (1 + 4 - (0 - -7)) + 12 - (-12 - -2) 20 What is -37 + 42 + (-16 - (0 - 2)) - 32? -41 Evaluate (3 - -35) + -16 + 12 + 1 + (-15 - -8). 28 What is 15 + 12 + -148 + 90 - 39? -70 What is the value of 48 - (-24 - (19 - 69))? 22 What is the value of 40 + 12 + -7 + 9 + -6 - -3? 51 (-9 + 2 + 13 - -3 - -2) + (128 - 23) 116 Evaluate 290 + -181 + (64 - 75). 98 Evaluate -72 + -94 + (10 - -180). 24 Calculate (37 - -2) + -34 + 1 + 14. 20 Calculate 0 + (0 - 98) - (-145 + 117 - (4 - 28)). -94 What is the value of 16 + -20 + 31 + (-25 - -10)? 12 Evaluate 65 + 0 + (-16 - -30 - 13) + (-14 - -7). 59 What is the value of 1826 + -1812 + (-5 - -63)? 72 Evaluate 10 + 3 + 4 + 3 + -56 + 7. -29 What is -32 - (-14 - -1 - (63 - 85))? -41 Calculate (20 - 7) + 26 - (42 + 93). -96 -82 + 78 + -48 + (-11 - (-10 - -5)) -58 Evaluate -2 + (-1 - (-6 - -13)) + (-12 - (15 + 58)). -95 Calculate (41 - (46 - (75 - 36))) + -61. -27 Evaluate 17 - (11 - (14 - -18)). 38 Calculate 20 + 16 + (52 - 24). 64 What is (-58 - -36 - -24) + 15? 17 What is the value of -11 + (13 - 25) + (-10 - (-12 + -9))? -12 Evaluate -90 - (-9 + -2) - (34 + -53). -60 Calculate -117 - -56 - -200 - 32. 107 What is (-8 - (-5 + 23 + -12)) + -10 + 21? -3 What is 27 + 58 + ((-5 - (5 + -5)) + 5 - 1)? 84 -80 + (24 - 6) + -9 + 0 + 13 + -12 -70 What is (34 + -18 - 7) + -52 + 125 + 0 + 0? 82 Calculate 8 + (-1 + 0 + 10 - (-797 - -801)) + -32. -19 Calculate -9 + (9 + -11 - 17) + 10 + -6. -24 Evaluate 1 + (-2 + 8 - 14) + 6 + -2. -3 (57 - (-51 + 76)) + 54 86 Calculate -4 + -15 + 13 + -3 + 72 - -14. 77 What is the value of (4 - 8 - (-10 + 6)) + (-9 - 31 - -37)? -3 (9 - (-9 + (9 - -5))) + 47 + -6 45 Calculate (-257 + 249 - (-2 + -5)) + -66. -67 -17 + -1 - ((38 - 11) + -76) 31 What is the value of 7 + -3 + -9 + (-1 - (8 + -71)) + 11? 68 Calculate 4 + (-10 - -5) - (1 + (-43 - (11 - -4))). 56 What is the value of 15 - ((41 - -18) + -9) - (-1 + 12)? -46 Evaluate -29 + 93 + 28 + -56. 36 Evaluate 10 + -20 + 4 + (51 - 57) + 15 + -137. -134 Evaluate -2 - ((0 - -1) + 45 + -28). -20 Evaluate (-1687 - -1662) + -1 + -30. -56 Evaluate 10 - (40 + (32 - 173)) - -7. 118 -271 + 243 - (6 - (4 - -42)) 12 0 + 22 + 57 + (-69 - 12) + -65 + -1 -68 Calculate -1 + -1 + 7 - (-7081 - -6995). 91 (4 - (-2 - -13)) + 14 - (3 + 3 + 23) -22 What is the value of 3 - (-3 - 8) - (23 + (28 - -25 - 9))? -53 What is the value of (-41 - 1) + (-43 + 49 + 4 - (13 + -1))? -44 (0 - -36) + (221 - 261 - 55) -59 What is 2 + 2 - (11 - (6 - -6 - 14)) - 7? -16 Evaluate 28 - (47 + -4 + 24 - 35). -4 What is the value of 144 - -1 - 6 - (1 + -16 + 22) - 2? 130 Evaluate -6 + -43 + 84 + -1. 34 34 - 56 - 14 - -68 32 Evaluate (-18 - -26) + 21 - -34 - 3. 60 What is 27 - ((-95 - -32) + 115)? -25 10 + 3 + (-2 - 0) + -10 - 34 -33 Evaluate 117 + (18 - (13 - 12 - -12) - (32 - 17)). 107 Calculate (3 - -1) + (-48 + 48 - 19). -15 (-39 - 3) + 43 + 32 33 What is -68 - -106 - (10 + 27)? 1 What is the value of 4 + 1 + -1 + 6 + -6 + (-643 - -622)? -17 Evaluate (-42 - -2 - 2) + (16 - -7) + -7 + -8. -34 -2 - 33 - (14 - (-1 + 7 + 19)) -24 3587 + -3585 + (0 - 15) + 0 -13 Evaluate (-35 + -1 + (23 - -3) - (0 - 2)) + -28. -36 What is 9 - -1 - (-62 - -23 - -67)? -18 Evaluate -10 - 24 - (5 + 6) - (13 - 1). -57 -27 - (3 + 54 + (41 - 69)) -56 What is the value of (-12 - -28 - 25 - -7) + -46? -48 What is (-5 - (-2 - 9) - -8) + 27 + -21 + -4? 16 Evaluate 16 + (17 - (14 + -19)) + 16. 54 What is the value of 26 + 2 + -10 - (-41 - 23)? 82 Calculate -69 + (84 - -116) - 182. -51 Calculate 44 + (-47 - -40) - -21. 58 Calculate -5789 - -5770 - (-1 - (-25 - -1)). -42 What is -1 + 21 + 1 + -6 + 216 + -181? 50 Calculate -42 - (22 - (25 - (40 - 20) - -8)). -51 Evaluate 864 + -860 - (62 - -1 - (2 + -2) - 0). -59 What is the value of -21 + -1 + 0 + 14203 + -14140? 41 (18 - 23 - 10 - -3) + 22 + -47 -37 7 - 18 - (-6 + (-15 - -15) + -1) -4 What is the value of -42 - -109 - (25 - -21)? 21 What is 93 - 76 - 4 - 39? -26 Evaluate 0 - (-22 + 3 + 13) - (15 + -75). 66 10 + 0 - (-4 + 85 - 11 - 8) -52 Calculate (1079 - 1113 - (1 - 19)) + 35. 19 -15 + (13 - (-5 + 7 + 10)) - -43 29 What is (5 - (-28 - -51)) + (-4 - 13)? -35 Calculate -2943 - -2931 - (-1 + 3 + 4 + -14). -4 Calculate -2 + 1 + (14 - (12 - (5 + -7))). -1 -153 + -21 + 83 - -34 -57 Evaluate -8 + 57 + 2 - (-7 - (-12 + -12 + 28)). 62 Calculate -2 - (-3 + 0) - 22 - (38126 - 38070). -77 Evaluate -29 + 0 - (16 + -48 + (21 - 9) - -9). -18 Calculate -54 + 3 + 23 + (-34 - -17 - -15). -30 What is -2 + 45 - -3 - (9766 + -9855)? 135 Evaluate -74 - -157 - ((3 + 0 - 3) + -2 + 9). 76 -36 + (21 - -
{ "pile_set_name": "DM Mathematics" }
q - 2*q**2)*(6 + 8*q**2 - 5*q**2 - 4). -6*q**4 - 4*q**2 Expand (8 - 7 - 2 - 10*f**2)*(-3 + 3 + 2)*(-2 - 1 + 5) + f**2 + 3*f**2 - f**2. -37*f**2 - 4 Expand (4 - 4 - 1)*(14 - 11*c - 14). 11*c Expand (h**4 - 28 + 36 + 24)*(-2*h + 0 + 0). -2*h**5 - 64*h Expand -2*j**4 - j**4 - 3*j**4 + (-j**3 + j**3 - j**3)*(3*j + 0*j - 2*j) - j**4 - j**4 + 0*j**4. -9*j**4 Expand (3*c - 3*c + 2*c**4)*(1 + 1 + 0) + c**4 - c**4 - c**4 + 42*c**4 - 22*c**4 - 35*c**4. -12*c**4 Expand (2 - b - 2)*(-2*b**3 + 2*b**3 - 2*b**3) - 785*b**3 + 12*b**4 + 785*b**3 - 4*b**4 + 3*b**4 + 3*b**4. 16*b**4 Expand (y**2 - 3 + 0 + 2)*(4 + y - 4) + (3 - 3 + 2)*(y**3 + 0 + 0). 3*y**3 - y Expand (-2*n - 2*n**2 + 2*n)*(2*n + n - 5*n) - 27*n + 2*n**3 + 27*n. 6*n**3 Expand (1 + n - 1)*(-3 + 1 + 1) + (4 - 3 + 1)*(-4*n + 4*n - 2*n). -5*n Expand (5 - 5 - m**2)*(3 - 1 - 1) + (0 + 2 - 3)*(16*m - 13*m**2 - 16*m + (-3 - 2*m + 3)*(m + 0 + 0)). 14*m**2 Expand ((-9 + 3 - 3)*(-2*y - 3*y + 6*y) + 3 - 3 + 2*y)*(0 + 0 - y**2). 7*y**3 Expand (5 + 3 - 1)*(3*a - 2*a - 3*a)*(-2*a - 3 + 3). 28*a**2 Expand (1 + 2 - 6)*(1 - l - 1)*(5*l - 8 + 8). 15*l**2 Expand (3 + 0 - 2)*(-v**2 + 4*v**2 - 5*v**2) + 12*v**2 - v**2 + 4*v**2 + 2*v**2 + 3*v**2 - 3*v**2. 15*v**2 Expand n**5 + 0*n**5 + 0*n**5 + (2*n**2 - 2*n + 2*n)*(-3 - 161*n**2 + 2*n**3 + 161*n**2). 5*n**5 - 6*n**2 Expand (7*p - 12*p - 7*p)*(-3*p**2 + 4*p**2 - 2*p**2). 12*p**3 Expand (4*h + 5*h - 3*h)*(-h**3 - 4 + 0*h**3 + 2). -6*h**4 - 12*h Expand 3*n**3 - 9*n**4 - 5*n**3 - n**5 + 7*n**4 + (-3*n**3 + 3*n**3 + n**4)*(-n + 2*n - 3*n). -3*n**5 - 2*n**4 - 2*n**3 Expand -1 - 4*m**2 + 3*m**2 - 3*m**2 + m**2 - m**2 + 3*m**2 + (-1 + 1 + m)*(m - 3*m + m) + 2*m - m**2 - 2*m. -3*m**2 - 1 Expand (18*m - 2*m - 3*m)*(-2 + 3 + 1). 26*m Expand (-i + i - 3*i**2)*(1 + 7 + 0)*(5*i - 3*i + 0*i). -48*i**3 Expand (3*q - 5*q + 0*q)*(-1 - q + 1)*(0 + q + 0)*(-q - q + q). -2*q**4 Expand (f + 0*f + f)*(-4 - 4 + 2) + (1 + 4 - 4)*(-2*f + 5*f - 2*f). -11*f Expand 0*c**3 - 2*c**3 + 0*c**3 + (c**2 + 0 + 0)*(-3*c + 3*c - 2*c) - c**2 - 22*c**3 + c**2. -26*c**3 Expand -3 + 3 + 2*u + (-3*u + u + u)*(2 + 2 - 3) + (0 + 2*u + 0)*(4 + 1 - 3) + 4*u + u - 4*u. 6*u Expand (y - 4*y + 5*y)*(-2 + 0 - 2) + y + 2*y + y. -4*y Expand (-5 + 1 - 2)*(5*g**2 - 2*g**2 - g**2) + (0*g - 5*g + 4*g)*(0*g + 0*g - 2*g) + g - g + 2*g**2. -8*g**2 Expand 2*i**3 + i**3 - 4*i**3 + (-6 + 2 + 2)*(5*i**3 - 4*i + 4*i). -11*i**3 Expand a**3 + 2*a**2 - 2*a**2 + (-29*a - 9*a**2 + 29*a)*(-a + a - 2*a). 19*a**3 Expand (-9*j**4 - 5*j**4 + 5*j**4)*(4*j - 4*j + 3*j) + (-2*j**4 + 2*j**4 + 2*j**4)*(j + 2 - 2) - 3*j**2 + 3*j**2 + 2*j**5. -23*j**5 Expand (-2 + 1 + 4)*(3*q + 2*q - 4*q) + 2*q - 2*q - 6*q. -3*q Expand (-h + 3 - 3)*((2*h - 3*h - h)*(-h**2 + h**2 - h**2) + 3*h - 3*h + 12*h**3). -14*h**4 Expand 5*r**3 + r**3 - 5*r**3 + (-2*r + 0 + 0)*(-4*r**2 + 4*r**2 + r**2). -r**3 Expand (-5 - 3 + 6)*(-2*d + 6*d - 2*d). -4*d Expand (-o**3 - 2*o**3 - 3*o**3)*(-o + o - 2*o)*(-4 - 2 + 4). -24*o**4 Expand (-2 + 8 + 18)*(-3 - 1 + 1)*(-5*s**2 + s**2 + 5*s**2). -72*s**2 Expand -4*a**2 - 2*a + 2*a + (a + 4*a - 3*a)*(-28 - 20*a + 28) + 5*a - 5*a - 2*a**2. -46*a**2 Expand (2*q + 6 - 7 + 0*q)*(0*q**3 - q**3 + 0*q**3). -2*q**4 + q**3 Expand (-2*s - 2*s + 2*s)*(-s**3 - 5*s**3 + 5*s**3)*(-1 - 2 + 2 + (4 + 0 - 2)*(3 + 2 - 6) + 0 + 2 + 0). -2*s**4 Expand (5*q**3 + 2*q**2 + 0*q**2 + 0*q**2)*(-q**2 - q**2 + q**2). -5*q**5 - 2*q**4 Expand (-3*x + 2*x + 2*x)*(8*x + 12*x - 27*x)*(0 + 2 - 3)*(3 + 2 - 4). 7*x**2 Expand 4*d + 0*d - 10 + 7 + (-1 + 1 + 2*d)*(-3 - 3 + 3). -2*d - 3 Expand (-x - 3*x**2 + x)*(18 + 16*x - 18). -48*x**3 Expand i**4 - 2*i**4 + 2*i**4 + (2*i - i - 3*i)*(3*i - 3*i + 2*i**3) - 2 + 2 + i**4. -2*i**4 Expand -j**3 - 3 + 3 + (2*j**2 - j + j)*(-2*j - 7*j + 4*j). -11*j**3 Expand (-5*y + 5*y + 2*y**2)*(1 + 7*y - 1). 14*y**3 Expand (-x**3 + 2*x**3 + x**3)*(x**2 + 0 + 0) + 18*x**5 + 9*x**2 - 13*x**2 - 16*x**5 + 1. 4*x**5 - 4*x**2 + 1 Expand 3*r - r - 4*r + 3*r - 2*r - 4*r + (2 - 2 + 2)*(-55*r + 34 - 34). -115*r Expand (2 - t**2 - 2)*(-3 + 6 - 4)*(10 - t - 1 - 5) + (2*t - 5*t + t)*(-3*t**2 + 3*t**2 - t**2). t**3 + 4*t**2 Expand 3*w**2 + 1 - 3 + 0*w**2 + (2*w - 6*w + w)*(5*w - w - w). -6*w**2 - 2 Expand (-9*s - s + 4*s)*(3*s + s - 6*s) - 4*s**2 - 3*s**2 + 9*s**2. 14*s**2 Expand g**2 - 4*g + 4*g + (3*g + 5*g - 2*g)*(2*g - g + 0*g) + 2*g - 2*g - g**2. 6*g**2 Expand (-3*u**4 + 2*u**4 + 3*u**4)*(-2 + 1 + 8) - 2*u**4 + 5*u**4 - u**4. 16*u**4 Expand (-4*c - c**2 + 4*c)*(-4 + 2 + 4) + 5 + 3*c**2 - 5 + (-5 + 3 + 1)*(-3*c**2 + c**2 + 0*c**2) - 1 + 3*c**2 + 1. 6*c**2 Expand (-1 - 1 + 4 + (3 - 2 - 3)*(0 - 1 + 3) + 3 - 3 + 1)*(2*b - 2*b - 2*b)*(0 + 4 + 6). 20*b Expand (-5 + 10 + 14)*(4*d + d - 3*d). 38*d Expand (-29*t - 26*t + 43*t + 3)*(-3*t + 0*t + t). 24*t**2 - 6*t Expand 2*m**2 - 2*m**2 - m**3 + 0*m**3 + m**3 + 0*m**3 + 3*m**3 + 2*m**3 - 7*m**3 + (-2*m**3 - m**2 + m**2)*(3 - 6 + 1). 2*m**3 Expand (1 + y - 1)*(-65 + 40*y + 65). 40*y**2 Expand (0*f + 2*f + 0*f + (-1 + 0 + 2)*(-f - 4 + 4))*(-7*f**2 - 7 + 7). -7*f**3 Expand (-2 + 2*w**2 + 2)*(-4*w + 6*w + 0*w) - w + w + w**3. 5*w**3 Expand -c - 2 + 2 - c + 1 - 1 + (-4 + 6 - 1)*(0 + 0 - 2*c) + 9*c - 2*c + 6 - 6*c. -3*c + 6 Expand (2 + 0 - 3)*(0*b + 4*b - 2*b) - 9 + 9 + 6*b - 2 + 2 - b. 3*b Expand (2 + f**5 + 107*f**4 - 107*f**4)*(2 + 1 - 2). f**5 + 2 Expand (7 - 16 - 16)*(-3*z**2 + z**2 + 0*z**2). 50*z**2 Expand w - 2*w - w + (-3 + 3 - w)*(1 - 3 - 2) - w + 6*w - w + (-6 + 2 + 2)*(-w - 4*w + 3*w). 10*w Expand (1 + 0 - 3)*(0*g - g + 0*g) + 0*g + 4*g - 2*g - g + 2*g - 3*g + 1 - 3*g - 3 + 8. -g + 6 Expand (4*y**2 - 2*y**2 - y**2)*(6*y**2 + 0*y**2 - 2*y**2)*(-4 - 2 + 4)*(-4*y - y + 4*y). 8*y**5 Expand (4*t**3 - 3*t**3 - 2*t**3 + (4*t**2 + t**2 - 4*t**2)*(-5 - t + 5))*(-5*t**2 + 0*t**2 + 3*t**2). 4*t**5 Expand (-3*l**5 + 0*l**5 + 2*l**5 + (-l**3 - 4*l**3 + 6*l**3)*(-3*l**2 - l**2 + 2*l**2))*(3 + 2 - 7) + l**5 + l**5 - l**5. 7*l**5 Expand -3*z**2 + 0*z**2 + 2*z**2 + (4*z**2 - 7*z**2 + z**2)*(-6 - 5 + 6). 9*z**2 Expand (2*c**2 - c**2 + c**2)*(-2 - 1 + 1 + (-1 - 1 + 3)*(-5 + 1 + 3)). -6*c**2 Expand (6*w**2 - w**2 + 0*w**2)*(w**2 + 0*w**2 - 2*w**2) + 1 - 2*w**4 - 1. -7*w**4 Expand (-3*g**4 - g**4 + 5*g**4)*(6*g - 4*g - 11*g). -9*g**5 Expand (-r**4 - r**2 + 4*r**2 + 2*r**4)*(0 + 3 - 1)*(6*r - r - 4*r). 2*r**5 + 6*r**3 Expand (-3 + l + 3)*(147 - 72 - 70). 5*l Expand (1 + 3 - 2)*(4*b - 5*b + 4*b) - b + 3*b + 0*b. 8*b Expand (2*u**3 + 0*u**2 + 0*u**2)*(2*u - 2*u - 2*u)*(0 + 1 + 8). -36*u**4 Expand 2*x - 3*x + 0*x + (4 - 1 - 1)*(0*x + 0*x + 2*x) - 4*x + 2*x + x + 3*x + 0*x - x - 2*x - 3 + 3 + 0*x + x + 0*x - 8 + 13 + x + 8. 4*x + 13 Expand 6*i**3 - 6*i**3 + 10*i**3 + (-2*i**3 + 4*i**3 - i**3)*(4 - 2 + 0). 12*i**3 Expand (0 - 4 + 2)*(-q**2 + 0 + 0) - 3*q + 5 + 2*q**2 - q**2 - 4. 3*q**2 - 3*q + 1 Expand (-2*o + 2 - 2)*(-7*o**4 - 5*o**4 + 2*o**4). 20*o**5 Expand (-2*h - h - h)*(1 + 1 + 0). -8*h Expand (w**2 - 2*w**2 - w**2)*(1 + 2 - 4)*(-12*w**2 + w**2 - 4*w**2)*(1 + 2 - 5). 60*w**4 Expand y + 1 - 1 + (4 + 2 - 4)*(4 + y - 4) - 2*y + 1 - 1 - 28*y + 10*y + 8*y. -9*y Expand (-3*a - a + 2*a)*(4*a + 0*a - 6*a) + 4*a**2 + 3*a**2 - 5*a**2 + 2 + 5*a - 2*a + 3*a**2 - 2*a. 9*a**2 + a + 2 Expand -2*y**5 + 2*y**3 - 2*y**3 - 5*y**5 + y**5 + 2*y**5 + (-y**4 - 2*y**4 + 2*y**4)*(-3*y - y + 5*y) + 2*y**3 + 2*y**5 + 2*y**5 - 3*y**5. -4*y**5 + 2*y**3 Expand (-2*v + 2*v - v)*(-v**2 + v**2 - 5*v**2). 5*v**3 Expand (-4 - 3*m**3 + 4)*((2 + 2 - 5)*(0 + 1 - 2) + 1 + 2 + 1). -15*m**3 Expand (-w + 6*w - 2*w)*(-1 - 1 + 0). -6*w Expand -1 + 1 + 2*s**3 + (623*s**2 - 623*s**2 - 19*s**3)*(-2 - 1 + 1). 40*s**3 Expand (-1 + 0*x**2 + 0 + x**2)*(1 - 1 - 2)*(-3 + 2 + 2). -2*x**2 + 2 Expand (-4 + 1 + 4)*(-37*n**2 + 16*n**2 - 5*n**2). -26*n**2 Expand -5*p**2 - 2 - 5*p**2 + 12*p**2 - 2*p**4 + (1 + 2*p**2 - 1)*(-1 + 2*p**2 + 1). 2*p**4 + 2*p**2 - 2 Expand -v**2 + 3*v**2 + 0*v**2 + (-v + 2*v - 2*v)*(-2 - 2*v + 2) - 2*v + 2*v + 3*v**2. 7*v**2 Expand (-255*o**4 + 255*o**4 - 30*o**5)*(-3 + 2 + 0) + 0 + o**3 + 0 - 2*o**5. 28*o**5 + o**3 Expand (12 - 4 - 20 + 4 + 0 - 2 - 1 + 3 - 3 + (3 - 1 + 0)*(0 + 3 - 1))*(2*c**3 - 3*c**3 + 3*c**3). -14*c**3 Expand (2*v - 1 + 1)*(-4*v - 10*v + 32*v). 36*v**2 Expand 3*v - 6*v + 2*v + (5*v + 0*v - 4*v)*(-1 - 2 + 1) + 2*v - 2*v + v - 4 + v + 4 + (v -
{ "pile_set_name": "DM Mathematics" }
**2 + 2*l + 2. Let g(p) = -p**2 - p + 2. Let v be g(-3). Is 5 a factor of x(v)? True Suppose 17*j = 12*j. Does 2 divide j/1*1 - -2? True Let i = -42 - -24. Let v = i - -33. Is 9 a factor of v? False Suppose -2*p = -6*p. Suppose 2*w + 6 = p, 3 = -5*i - 4*w + 1. Let u(t) = 3*t**2 + 2*t - 2. Does 7 divide u(i)? True Suppose -10*q = -14*q - 252. Let k be -1*(-104 + (-4)/2). Let d = q + k. Is d a multiple of 13? False Let r be (69/12)/((-1)/(-4)). Is (-1)/(-1) - (-6 - r) a multiple of 15? True Let u = 96 + -42. Is 12 a factor of u? False Let q = 3 - 1. Let f be -2*q/4*-43. Let r = f + -18. Does 15 divide r? False Let c(o) = -o**2 + 11*o + 1. Let l(d) = -d**3 - 5*d**2 - 6*d - 6. Let w be l(-4). Suppose -w*n + 6 = -n. Does 17 divide c(n)? False Let o(d) = 9*d + 2. Is o(6) a multiple of 16? False Let q(h) = h - 3. Let k be q(-13). Let c = k + 22. Is c a multiple of 4? False Let h be ((-69)/(-12))/((-2)/(-8)). Let l = h + -13. Is 10 a factor of l? True Let n(g) be the first derivative of -3*g**4/4 + g**2 + g - 1. Let q be n(-1). Suppose 0 = 5*o - 4*z - 60, 20 = 5*o + q*z + 2*z. Is 3 a factor of o? False Let k(u) = -u**2 - 5*u + 5. Let n be k(-5). Suppose -3*b + n*i = i - 287, 2*b - 196 = 5*i. Is b a multiple of 31? True Let h(m) = -m**3 + 7*m**2 + 12*m - 7. Let d(a) = a**2 + 6*a - 8. Let v be d(-8). Is h(v) a multiple of 15? False Suppose 1 - 2 = -h. Is 10/(-6)*(-2 - h) even? False Suppose w + 3 = 3*a, -3*w + 18 = 3*a + 3. Suppose 0 = -3*h - 5*s + 101, 2*h - a*s = 14 + 32. Is 9 a factor of h? True Suppose -64 = 2*l - 4*l. Suppose l = 3*b - 2*b - m, -2*m + 56 = 2*b. Is b a multiple of 10? True Suppose 2 = -2*n + 8. Suppose -2*t + u + 109 = 0, -20 = n*u + u. Is 28 a factor of t? False Let g(o) = -3*o - 2. Let c be g(-2). Suppose 3*x = -c*k + 57, -3*k + 6*k + 4*x - 48 = 0. Is 12 a factor of k? True Suppose 5*t + 865 = 10*t. Does 14 divide t? False Let d(a) = -9*a - 4. Let m(s) = -1. Let c(x) = -2*d(x) + 10*m(x). Does 17 divide c(2)? True Let q = 0 + 14. Does 12 divide q/(-21) + (-41)/(-3)? False Suppose -q - y + 12 = -67, 4*y = q - 54. Suppose -2*d = 2*d + 2*r - 142, -3*d + 5*r + q = 0. Is d a multiple of 16? False Suppose -4*m - m = -245. Is 18 a factor of m? False Let a(p) = -5*p - 2 + 3 - p. Let t = 2 + -4. Is a(t) a multiple of 13? True Let h be (-6)/9 - 400/(-6). Let i = h - 32. Is 14 a factor of i? False Suppose 160 = -0*g + 4*g. Suppose 4*m + 37 = -51. Let k = g + m. Is k a multiple of 8? False Suppose -2*c = 4*x - 14, 4*x + 0 = -4*c + 8. Let m = c + 8. Suppose -3*q = -m*y + 51, 42 = 4*y - q - 2*q. Is 9 a factor of y? True Suppose 5*p - 15 = -2*m, -m - 11 - 19 = -5*p. Suppose -4*q + 0*q = 0. Let d = p + q. Is 3 a factor of d? False Let m = -14 + 25. Let k(w) = -9*w + 5. Let y(r) = 3*r - 2. Let h(f) = m*y(f) + 4*k(f). Is 16 a factor of h(-6)? True Suppose 5*s - 5*k - 17 = 18, 0 = 2*s + k - 20. Suppose -4*o = -5*o + s. Is o a multiple of 4? False Let j(p) be the first derivative of p**3/3 - 7*p**2/2 + 5*p - 1. Is 5 a factor of j(7)? True Let w = 23 + 3. Is w a multiple of 26? True Let t(f) = -2*f + 10. Let i = -29 - -21. Is t(i) a multiple of 5? False Let b(o) = o**3 + 3*o**2 - 4*o - 3. Let g(f) = f**3 - 7*f**2 - 9*f + 6. Let d be g(8). Is 9 a factor of b(d)? True Suppose 3*d = -2*d + 20. Suppose 0 = t + f - 5, d*f = 5*t - 3*t + 8. Suppose t*y = 9 + 5. Is 7 a factor of y? True Let a(h) = -36*h - 4. Is 28 a factor of a(-4)? True Let r be (-4)/6 + (-4)/(-6). Is 10 a factor of -1*(-19 - r)*1? False Let m be (-1295)/77 + 2/(-11). Let x(j) = j**2 + 2*j - 3. Let d be x(-3). Is 12 a factor of -2 - (m - (0 + d))? False Let s = 8 - 5. Is -3 - s/(9/(-21)) a multiple of 2? True Let z(p) be the third derivative of p**7/2520 + p**6/120 + p**5/24 - p**4/8 - p**2. Let m(c) be the second derivative of z(c). Is 2 a factor of m(-6)? False Let p(i) = 2*i**2 + 31*i + 23. Does 29 divide p(-20)? True Suppose -a = a. Does 7 divide 3/(a + (-3)/(-18))? False Suppose 0*w - 4*u + 219 = 5*w, -90 = -2*w - u. Suppose 0 = -p + v - 4 + w, 3*p = -v + 121. Suppose g - p = -g + c, 4*g - 85 = 5*c. Is 10 a factor of g? True Suppose -4*k + 36 = -0*k. Is 23 a factor of 12/k*2*9? False Suppose 4*m + 4*u - 1 + 21 = 0, 0 = 5*m + 4*u + 23. Does 11 divide (2 - -1)*(-23)/m? False Suppose 12*a + 0*a - 240 = 0. Is a a multiple of 4? True Let d be (3 - 2)/((-1)/(-19)). Suppose 0*v + 5*l = -v - d, 0 = -2*v + 5*l + 22. Suppose 4*h - 47 = 5*y, 2*h - 5*y + v = 32. Is h a multiple of 8? True Let l(z) = z - 2*z - 5 - 2. Let h be l(-6). Is -7*(h - -3)/(-2) a multiple of 7? True Let k(s) = -s**3 - 11*s**2 - 10*s + 7. Does 3 divide k(-10)? False Let x(m) = -3*m - 1. Does 4 divide x(-5)? False Let j(p) = -2 + 2*p - 2*p + 0*p - 5*p. Is j(-4) a multiple of 18? True Suppose 2*v = -2*s - 2, -s + 3*v = 5 - 20. Is s a multiple of 2? False Suppose 3*z = 2*d + 2, 0*z - 4*z - 4*d = 4. Suppose z = -q - 4*q + 10. Is q a multiple of 2? True Let y = -158 + 354. Let w = 280 - y. Is w a multiple of 21? True Let t be (-4)/10 + (-28)/5. Let x(y) = -y**3 - 5*y**2 + 5*y + 7. Let l be x(t). Let p = l + -9. Does 3 divide p? False Suppose 3*n - 3 = -9. Let c = 23 + n. Does 7 divide c? True Let g(w) = -w**3 + w**2 - w - 2. Let o be g(0). Let a(d) = 7*d**2. Is 14 a factor of a(o)? True Let k(m) = m**2 + 3*m. Let i be k(6). Let x = i - 33. Is x a multiple of 13? False Let f be 2*2 - (-1 + -1). Let w = 0 + f. Suppose r - 5*p = -10, r = 2*p - 1 + w. Does 10 divide r? False Let c = 5 - 1. Let r(f) = -f**3 + 3*f**2 + 4*f + 2. Let w be r(c). Suppose -p = -2*i + 5*i + 12, 1 = -3*p - w*i. Is p a multiple of 2? False Let z(h) = h + 7 + 0*h + 0*h + 0. Is z(5) a multiple of 3? True Let h be (-3)/6 + (-141)/(-6). Let l = h + 40. Is 21 a factor of l? True Let s(p) = p - 3. Let r be s(7). Suppose 0 = n - r*f - 16, 5*f = -5 - 15. Is 0 + n + (12 - 0) a multiple of 6? True Suppose 0 = -2*l + 79 + 69. Let x(d) = -2*d**3 - 4*d**2 - 2*d - 3. Let j be x(-3). Suppose 4*t + 3*i - j - l = 0, -5*i - 15 = 0. Is t a multiple of 13? True Let s(n) = -3*n**2 - 3*n - 1. Let m be s(-3). Let l = m - -10. Does 16 divide (3/(-1))/(l/96)? True Suppose -3*s - q + 217 = 0, -3*s - q + 215 = q. Does 14 divide s? False Let y(s) = 108*s - 1. Let f be y(-2). Let x be f - (2 - (2 - 3)). Is x/(-16) - 2/(-8) a multiple of 5? False Is (-3)/3*(-18 - -4) a multiple of 14? True Suppose 0 = -12*i + 3*i + 333. Does 20 divide i? False Does 9 divide 26 + (-3 + 4)*-2? False Let t be (10/6)/((-1)/(-3)). Suppose 15 = -u - 3*a, -4*a - 7 = -t*u + 2*u. Is 4 a factor of 1/u - 26/(-6)? True Let a be (-3 - -5) + 75 + -1. Let q be 1/(a/(-74) + 1). Let k = 61 + q. Is k a multiple of 12? True Let u(m) = 3*m**2 + 4*m - 12*m + 5 - 4*m**2. Let i be u(-8). Suppose -5*r + 50 = i*q, 0 = 5*r - 4*q - 26 - 42. Does 6 divide r? True Let z(q) = 52*q - 3. Let c be z(3). Let a = c - 66. Suppose -2*p + a - 19 = -4*l, -p = -3*l - 36. Does 15 divide p? True Suppose -d - 11 = -2*n, 2*n + 3*d - 33 = -3*n. Suppose -3*k = -n - 6. Suppose 6*f - b = f + 104, -3*b = k*f - 68. Is f a multiple of 14? False Let i(g) = g - 2. Let k be i(2). Suppose k = -0*s + 2*s - 36. Suppose -4*h = -6 - s. Is h a multiple of 3? True Let r(t) = 4*t - 12. Let x be r(4). Is 16 a factor of (-49 + 1)/(-4) + x? True Suppose -3*i = 2*w + 214, 3*w = -i + 5*i + 308. Let h = i + 103. Is h a multiple of 9? False Let x = 0 - 0. Suppose -j = -x*j. Suppose 2*n = -j*n + 52. Is n a multiple of 13? True Suppose -y = 2*r + y - 38, -r = -4*y - 9. Is r a multiple of 13? False Let o be 4/3*(-690)/(-20). Suppose -z + o = -9. Is 11 a factor of z? True Let v(u) = -u**3 - 2*u**2 + 7*u + 10. Is 14 a factor of v(-4)? True Let v(w) = w + 11. Let f be v(-10). Let x = 80 + f. Does 27 divide x? True Let a = -104 + 120. Does 2 divide a? True Let t = 13 - -19. Let j = 27 + t. Is 19 a factor of j? False Suppose 6*j - 3*j = 5*n + 210, -5*n + 50 = j. Does 5 divide j? True Suppose -3*k = 2*k + i - 14, -4*k + 3*i = 4. Suppose 3*q - 2*b - 549 = 0, 4*q = -k*b + 279 + 467. Suppose -5*o - 60 = -q. Does 14 divide o? False Let p = 33 + -20. Is 4 a factor of p? False Let c = 6 - 4. Suppose -5*x - g = -16, -x + c*g = g - 2. Suppose -132 = -b - x*b. Does 14 divide b? False Let q = 181 + -108. Let o = q + -46. Does 9 divide o? True Suppose -4*a = -24 - 24. Suppose -2 + a = 2*l.
{ "pile_set_name": "DM Mathematics" }
) - 2*y**3 + 3*y**3 + 5*y**3 + (-2*y**2 + y - y)*(-1 + y + 1). 22*y**3 Expand (-2*x + 0 + 0)*(3*x - 3*x - x) - 1 - 46450*x**2 + 70521*x**2 - 6 + 7. 24073*x**2 Expand (6 - 190*i - 22 + 7 + 8 + 1)*(10 + 22 + 0). -6080*i Expand (55*h - 90*h + 38*h + 0 - 2*h + 0 + (-2 - 1 + 2)*(4*h - 3*h + h))*(2*h + 2*h - 3*h). -h**2 Expand (2*w - 3*w - 2*w)*(3 - 5 + 4) - 1 + w + 1 + (-3 + 0 + 2)*(-9*w - 26 + 26). 4*w Expand (-40557 - 51945 + 191404 - 65607)*(2*y**2 + 2*y**2 + 2*y + 1 - 2*y**2). 66590*y**2 + 66590*y + 33295 Expand 19*j**5 + j**2 + j**2 + 27*j**4 - 21*j**4 + (-2*j**5 + 4*j**2 - 4*j**2)*(3 + 0 + 2) - 3*j**4 + 2*j**5 - 3*j**5 + 0*j**5. 8*j**5 + 3*j**4 + 2*j**2 Expand ((28 + 3 - 7)*(4*z - 3*z - 2*z) + 8*z - z + 9*z)*(10*z**3 + z - z) + (3*z - 4*z + 3*z)*(z**3 + 5*z**3 - 5*z**3). -78*z**4 Expand (-4*f + f + 4*f)*(0*f - 2*f + f) - 9 + 5743*f**2 - 2056*f**2 - 3 + 12. 3686*f**2 Expand 110*q**4 - 51*q**4 + 875*q**4 + (2 - 2 - q)*(-q**2 + 2*q**3 + q**2) - 2*q**4 + 4*q**4 - 3*q**4. 931*q**4 Expand (-g**2 + 2*g**2 - 3*g**2 + (-4*g - g + 4*g)*(2*g + 3*g - 4*g) - 3*g**2 + 2 - 2 + 4*g**2 - 3*g**2 - 3*g - 2*g**2)*(2 + 0 + 4). -42*g**2 - 18*g Expand (-4*g**3 + 6*g**3 - g**3)*(20*g**2 - g - 231*g**2 + 35*g**2). -176*g**5 - g**4 Expand (0*n - n + 2*n)*(-8 - 21 + 0) + (3 + 1 - 3)*(-n + 0*n - n) - 33*n - 18*n + 9*n. -73*n Expand (2*r**4 - 2*r**4 + 2*r**4)*(-23*r - 19*r + 19*r + 15*r + 43). -16*r**5 + 86*r**4 Expand 0*r**4 - 2*r**4 + r**4 + ((3*r - r - r)*(-3*r + 0*r + 4*r) - 3*r**2 - 7*r**2 + 0*r**2)*(r - r - r)*(-6*r - 43 + 43) + 4*r**3 - 4*r**3 - r**4. -56*r**4 Expand (5 - k**2 - 5)*(-250*k - 1 + 1011*k + 424*k). -1185*k**3 + k**2 Expand 3*u**4 - u**4 - 4*u**4 + (u**3 + 2 - 2)*(-2 + 2*u + 2) - 1 - u**4 + 1 - 3*u**4 - 3*u + 12*u + 78*u**3 - 82*u**3. -4*u**4 - 4*u**3 + 9*u Expand (3 + 0 - 5)*(1296 - 21*h - 1296) + 0*h + 0*h - h + (-h + 6*h - 3*h)*(2 - 2 - 2). 37*h Expand (0*f - f + 0*f)*(-4 + 1 + 2) + 279 + 97 + f + 180 + 284. 2*f + 840 Expand (-1 + 16 + 12)*(2*k + 0*k + k)*(0*k - k + 3*k)*(-7 - 3 + 4)*(4 - 4 + 2*k). -1944*k**3 Expand (1 - 1 - 2*a**4)*(-4 + 2 - 4)*(7 + 24 - 50)*(-4*a + 4*a + 4*a). -912*a**5 Expand (-6*d - 4*d + 2*d)*(0*d + 0*d - 2*d) + (-2 + 3 + 0)*(85 - 3*d**2 - 89 + 28*d**2). 41*d**2 - 4 Expand (h**3 - h**3 - h**3)*(0 + 0 + 2*h**2) + 671 - 671 + 75*h**5 - 310*h**5 - 94*h + 94*h. -237*h**5 Expand (-112 - 1275*r + 2542*r - 1260*r)*(15*r**4 + 0*r**4 - r**4). 98*r**5 - 1568*r**4 Expand (0 + 0 - 2*y)*(14 - 8 - 17 - 36*y - 18*y). 108*y**2 + 22*y Expand (-45*m - 6*m**2 + 22*m + 20*m)*(83*m + 0*m - 11*m). -432*m**3 - 216*m**2 Expand -2*f**2 + f**2 + 4*f**2 + (-13*f + 3*f + 3*f)*(168 - 19*f - 168). 136*f**2 Expand (-11805 + 0*z + 6*z**2 + 11822 + z)*(2*z - 3*z - z)*(4 - 4 - 2). 24*z**3 + 4*z**2 + 68*z Expand -6*j**2 + 2*j**3 + 6*j**2 - 2*j - 2 + (2 + 2*j - 2)*(-1 + 1 + j**2) + (j**3 - 2*j**3 + 3*j**3)*(2 + 4 - 3) + j**3 + 0*j**3 - 2*j**3. 9*j**3 - 2*j - 2 Expand -17*d**3 - 835 + 835 - 2*d**3 + 2*d**3 - d**3 + (d**2 + 0*d**2 - 3*d**2)*(2*d + d - d) - 4 - d**3 + 4. -23*d**3 Expand -50*p**2 - 6 + 34*p**2 + 24*p**2 + 2*p**2 - p**2 - 3*p**2 + (-p - 2 + 2)*(0*p + 3*p - 2*p) + 2*p**2 - 2*p**2 - p**2 - 3*p**2 + 7*p**2 - 3*p**2. 5*p**2 - 6 Expand (2*o - o - 1 + 3)*(22 - 2 - 8)*(-249 + 80 + 118). -612*o - 1224 Expand (-731 - 737 + 20*q**2 + 1462 - q**3)*(-7 + 7 - q). q**4 - 20*q**3 + 6*q Expand (1 + 0 + 0)*(3*g**3 - g**3 - g**3) - 5135*g + 3764*g**3 + 10382*g - 5247*g. 3765*g**3 Expand ((6*o - 6 + 6)*(-3 + 1 + 1) + (-5 + 5 - 2*o)*(0 - 4 + 3) - 2*o + 0*o + o)*(-9 + 9 - 9*o). 45*o**2 Expand (15 + 8*g**3 - 15)*(g - 1 + 1) + 5*g**4 - 3*g**4 - 3*g**4 + (-3*g**2 + 3*g**2 - 2*g**2)*(13*g**2 - 10*g**2 - 7*g**2). 15*g**4 Expand (0 - 3 + 5)*(8322 + 2244*b + 7601 - 2243*b). 2*b + 31846 Expand (3 - 3 + 3)*((w**4 - w**4 + w**4)*(w - 3*w + w) + 3*w**5 - 3*w**5 + 2*w**5) + 11*w**4 - 11*w**4 - 2*w**5 - 6*w. w**5 - 6*w Expand (875 - 1433 + 2275)*(2*b**2 - b**2 - 3*b**2). -3434*b**2 Expand -44*j**4 + 799*j - 799*j + 7*j**4 - 4*j**4 - 4*j**4 + (4 - j - 4)*(-2*j**3 + 8*j**3 + 8*j**3). -59*j**4 Expand (-11*y - 1 + 13*y - 21*y)*((2 + 2*y**3 - 2)*(-y - 4*y + 2*y) + 55*y**3 + 9*y**4 - 55*y**3). -57*y**5 - 3*y**4 Expand (21*q + 56*q - 9*q)*(-2*q**2 + 3*q - 3*q) + 0*q**3 + 2*q**3 - 4*q**3 + 2*q + 2*q**3 - 2*q + (-q**2 - 3*q**2 + 2*q**2)*(1 + 3 - 2)*(4 - 4 - q). -132*q**3 Expand (14711*s - 7360*s - 611 - 7353*s)*((-3 + 5 - 4)*(-2*s**2 + s**2 - s**2) - s + s - 2*s**2). -4*s**3 - 1222*s**2 Expand -24 + 24 - 7*m + (-1 - 2 + 4)*(3 - 3 - m) + m + 0*m + m + 59 - 99*m - 59. -105*m Expand (2*u - 1 + 1)*(-3 - 25 - 4) + (8 + 7 - 4)*(5*u - 1 + 1). -9*u Expand (-7678 - 1288 + 4143)*(-u**3 + 2*u**3 + 3*u**3 + 2*u). -19292*u**3 - 9646*u Expand -19 - 24*y**2 + 19 - 5*y**2 + 3*y**2 + y**2 + (-11*y - 24 + 24)*(-3*y + 3*y + y) + (-4*y + 0*y + 5*y)*(-3*y + 0*y + 4*y). -35*y**2 Expand (2*w**4 + 0*w**4 + 5*w**4)*(172 - 309 - 303). -3080*w**4 Expand -97*h**5 - 46*h**5 + 22*h**5 + (-2 + 4 - 5)*(2*h**5 - 3*h**5 - h**5). -115*h**5 Expand 0*o**2 + 0*o**2 - 3*o**3 + (4*o - 4*o + 2*o**2)*(-4*o + 5*o + 0*o) + (2*o**2 + 0*o**2 - 3*o**2)*(-8*o - 477 + 477). 7*o**3 Expand -5*r - 2*r + 5*r + (-24 - 14 + 12)*(4*r - 2*r + 0*r). -54*r Expand (0*p + 0*p + p**2)*(917*p**2 - 1824*p**2 + 915*p**2). 8*p**4 Expand (-5 - 5 + 1)*(-v + 3*v - v) - 3*v - 7*v + 4*v. -15*v Expand 3 - 105*c + 0 + 119*c + 2 - 2 + c + (-3 + 3 + 3*c)*(-1 + 7 + 0) - c + c - c. 32*c + 3 Expand (8 + 10 - 2 + 4 - 4 - 1 + (2 - 5 + 1)*(2 - 6 + 3) - 3 + 1 - 1)*(14*b**2 + 16 - 16). 196*b**2 Expand (7 + 3*w**5 + 4 - w**5)*(3 - 3 - 2)*(8 - 4 + 7)*(-4 + 10 + 5). -484*w**5 - 2662 Expand (7*d**2 - 37*d + 37*d)*(3*d + d - d) + 152*d**3 - 134*d**3 + 281*d**3. 320*d**3 Expand (-129 - 49*j**2 + 129)*(-202*j - 27*j + 570*j). -16709*j**3 Expand 0*b**2 + 0*b**2 - b**5 + (15*b**3 + 4*b**4 - 15*b**3)*(3*b - b - b) - 4*b**3 + 4*b**3 + b**5 + (-13*b**4 + 7*b**4 + 12*b**4)*(4*b - 5*b - b). -8*b**5 Expand (-1520 + 800 + 924)*(-2 + 3*z**2 + 1 - 5*z**2 - 4*z). -408*z**2 - 816*z - 204 Expand (19 - 55320*j + 55312*j - 6)*(3*j**4 - 3*j**4 - 3*j**4). 24*j**5 - 39*j**4 Expand (-8*t + 73*t + 61*t)*(-11*t - 31*t + 54*t). 1512*t**2 Expand (-2*n + 2*n - n)*(-38312 - 33893 + 60161). 12044*n Expand (3*f - 4*f - 5*f)*(1836 - 3918 + 1970). 672*f Expand (32*i - 52*i - 5*i)*(124*i + 3 + 219*i + 139*i + 71*i - 3). -13825*i**2 Expand (0*x + 2*x - 3*x + 3 - 3 + 2*x + 0*x + 0*x + 2*x + (-2 + 2 - 2)*(x - 5*x + 3*x) + x + x - 3*x + 11*x + 5*x - 3*x + 2*x)*(1 + 1 + 0). 38*x Expand (-2 + 4 + 6)*(-40 + 32 - 18)*(-l**2 - 5*l**2 + 4*l**2). 416*l**2 Expand (6*r**3 + 120*r**3 + 7*r**3)*(-7*r**2 + r**2 + r**2)*(1 + 1 + 3). -3325*r**5 Expand (c + 0*c - 2*c)*(-c - 4*c + 3*c) + (1 - 7 + 8)*(3 - 4*c - 3)*(13*c + 8 - 8). -102*c**2 Expand (4*m - 4*m + 2*m)*((3 + 2 - 4)*(-m + 0 + 0) + 12*m + 103*m - 21*m)*(3*m**3 - m**3 + m**3). 558*m**5 Expand 2483 - 4*s + 5*s - 94 + 5*s - s - 2*s + (-2*s - s + s)*(0 + 0 - 2). 7*s + 2389 Expand (0 - 2 - 1)*(-2 - 1 + 1)*(-2*x + 2*x - 2*x**2)*(325*x - 17 + 17). -3900*x**3 Expand (2 + 9*y + 25*y - 11*y)*(-3 + 3*y + 2*y - 2*y) + 87 + 2*y**2 - 87. 71*y**2 - 63*y - 6 Expand -2*a**2 + a**2 + 2*a**2 + 4*a + a**2 - 4*a**2 - 5*a + (2 + 3 - 3)*(31*a**2 - a**2 - 16*a**2). 26*a**2 - a Expand (-2876 + 425 - 130 - 876)*(d**3 + 0*d**3 - 3*d**3). 6914*d**3 Expand (-p**3 + 0*p**3 + 2*p**3)*(100737 - 100737 + 259*p). 259*p**4 Expand (-4 + 5 + 4)*(-3*a**3 - 2*a**3 + 2*a**3) + 109 - 5 - 106 + 2*a**2 + 8*a**3 - a. -7*a**3 + 2*a**2 - a - 2 Expand (-11*h - h + 4*h)*(54*h**2 - 143*h**2 - 17*h**2). 848*h**3 Expand (-228*v**2 - 8881 + 8881)*(-2*v + v - 3*v). 912*v**3 Expand (5*r**3 - 12*r**3 + 5*r**3 + (0*r**2 + 3*r**2 + 0*r**2)*(-2 - 3*r + 2) + 0 + 0 + 2*r**3)*(2*r + 3 - 3). -18*r**4 Expand -4569*o**3 - 5379*o**3 + 13874*o**3 + (-3 + 5 - 1)*(5*o**3 - o**3 - 5*o**3) - 1 + 1 + o**3. 3926*o**3 Expand -2*a + 2*a + a + (-7 + 19 - 14)*(-161 - 609*a + 77 + 85). 1219*a - 2 Expand (-23*c + 6*c + 24*c + 29)*(-7*c + 4 - 8 + 2). -49*c**2 - 217*c - 58 Expand (-96 - 774 + 195)*(4*j**5 - 2*j**5 - 3*j**5) - 5*j**2 - 2*j**5 + 5*j**2 + (2*j**2 - 2*j**2 - 2*j**4)*(-1 + j + 1) + j**4 - j**4 + 2*j**5. 673*j**5 Expand 0 + j**2 + 0 + (-1028 - 1380 - 1761)*(1 - 1 - j)*(-4*j - 3*j + 5*j). -8337*j**2 Expand (-4*s**3 + 2*s**3 + s**3)*(10
{ "pile_set_name": "DM Mathematics" }
rs of r/(-3 - -5) - -75. 2, 37 Suppose 4*i - 11155 = 5*o, -4*i = 4*o - 1273 - 9891. What are the prime factors of i? 2, 3, 5, 31 Let c = -12 - 3. Suppose 4*d - 40 = 3*d. Let j = d + c. What are the prime factors of j? 5 Suppose 3*o = 4*o - 9. Suppose o = -2*z - 4*k + 29, 3*z + 2*k - 14 = 0. Suppose 5*l - 33 = -2*b, -2*l + 11 + 7 = z*b. List the prime factors of l. 5 Suppose -l = 4*l - 2105. What are the prime factors of l? 421 Suppose -9*z + 9699 = -12342. List the prime factors of z. 31, 79 Let c = -29 - -20. Let z be 1*c/(-3) - 1. Suppose 0 = -4*y + 5*l - 8, 0*l = z*y - 2*l + 2. List the prime factors of y. 3 Suppose 197 = 5*q - 5203. List the prime factors of q. 2, 3, 5 Let x(u) = 2*u**2 + 12*u + 128. What are the prime factors of x(-7)? 2, 71 Suppose 653*v - 82422 = 635*v. What are the prime factors of v? 19, 241 Let h = 2206 - 499. List the prime factors of h. 3, 569 Let m(g) = g**3 + 6*g**2 - 3*g + 5. Let o(d) = d**3 + 6*d**2 - 3*d + 4. Let w(t) = 3*m(t) - 2*o(t). What are the prime factors of w(-6)? 5 Suppose 4*p + a + a = -16, p + 4*a = -4. Let v be 2/(4/((-688)/p)). Suppose -w = -2*d + v, -3*d - 3*w + w = -122. What are the prime factors of d? 2, 3, 7 Suppose -4*t + 5*x = -2*t - 549, 5*t - 1413 = -x. Suppose 0 = -3*f + 4*h + 257, -4*f + 4*h + 58 = -t. List the prime factors of f. 83 Let g(i) = i**2 - i + 363. Let q be g(0). Let k = 252 - q. Let v = k + 162. What are the prime factors of v? 3, 17 Let z = 18 - -634. List the prime factors of z. 2, 163 Let j = -400 - -1573. What are the prime factors of j? 3, 17, 23 Let p = 6 - 7. What are the prime factors of (0 + (p - -4))*178/3? 2, 89 Suppose -12*q - 134 = 502. Let z = 98 + q. List the prime factors of z. 3, 5 Let z be (-65)/(-2) + (-1)/2. Suppose 3*h - 2*l = -15 + 94, -h - 5*l = -z. List the prime factors of h. 3 Suppose 0 = 2*c - 4*f - 228, -5*c - 5*f + 241 + 254 = 0. Suppose -5*p = -4*b - 2 + 137, -3*b + p = -c. List the prime factors of b. 5, 7 Suppose -915 = 5*d - 5725. Let y(v) = -2*v + 29. Let j be y(-5). List the prime factors of (-2)/(-6) + d/j. 5 Let x(n) = -8 + 0 - 16*n + 11 + 0. List the prime factors of x(-10). 163 Let f(i) = i**3 + 12*i**2 - 15*i - 21. List the prime factors of f(-9). 3, 7, 17 Suppose -3*g - 2*g + 2035 = -x, 2*g - 836 = -4*x. Suppose b - g = -2*i, 20 = i - 4*b - 193. What are the prime factors of i? 5, 41 List the prime factors of 5019/4 + 87/348. 5, 251 Let v(f) = f**2 + 5*f - 18. Let k be v(7). List the prime factors of 5/(15/k) - 3. 19 What are the prime factors of 953 + -2*5/5 + 3? 2, 3, 53 Suppose 4*w + 6 + 2 = 0. Let b(h) = 41*h - 7. Let v be b(1). Let q = v - w. What are the prime factors of q? 2, 3 Let j(h) = -63*h**3 - 6*h**2 - h + 4. List the prime factors of j(-2). 2, 3 Suppose 2*c - 12 = 4*u, 2*u - 2*c + 5*c = -22. What are the prime factors of 60 + (10/u - -5)? 3, 7 Let z(g) = -g**2 + 5*g - 4. Let w be z(6). Let o be (-2)/w + (-133)/(-35). Suppose d + o = 16. What are the prime factors of d? 2, 3 Suppose -5*s + o = -407, -4*s - 68 + 394 = -o. List the prime factors of s. 3 List the prime factors of 21759/13 - 21/(-91). 2, 3, 31 Let g = 19 + -16. Suppose s - 4*j = 0, -g*s + 4*s + 4*j = 8. Suppose r = -s*y + 112, 0*y + 4*r - 70 = -2*y. What are the prime factors of y? 3 Suppose 5*k - 37 = 3*n, 0 = -3*n - 17 + 5. Suppose -3*p - 11 = -5*c, -4*c + 2 = k*p - 29. Suppose 15 = 5*d - 0*d, -3*x = c*d - 63. List the prime factors of x. 17 Suppose -2*l - 2*l + 1581 = 5*v, -4*l + 2*v = -1546. Suppose 6*n = l - 125. What are the prime factors of n? 2, 11 Let f = 11 - 9. Suppose 3*k + 145 = -f*k. What are the prime factors of -1 - 1 - (-14 + k)? 41 Let k be (-1)/((-22)/(-7) + -3). Let d(g) = -2*g - 2. Let x be d(k). Let m = -10 + x. What are the prime factors of m? 2 Let j = 10 - 8. Suppose 4*r - 4*z - 8 = 0, -j*r + 5*z = -0*r + 5. Let i = r - -5. What are the prime factors of i? 2, 5 Suppose -3878 + 1148 = -91*b. List the prime factors of b. 2, 3, 5 Let i(v) = -v**2 - 8*v + 199. What are the prime factors of i(0)? 199 What are the prime factors of (-1987)/(-9) - 2*(-5)/45? 13, 17 Let m = -371 - -461. List the prime factors of m. 2, 3, 5 Let s(y) = -y + 11. Let i be (-51)/(-15) + (-6)/15. Let l be 1 + (i - 6) - -2. What are the prime factors of s(l)? 11 Suppose 16 = 4*c - 6*c. Let p = c - -8. Suppose 6*u + p = 12. What are the prime factors of u? 2 Let s(r) = -r**2 - 8*r - 16. Let z be s(-5). What are the prime factors of z + 2/(4/382)? 2, 5, 19 Suppose 4*h = 3*h + 75. What are the prime factors of 2/(-5) + -543*(-10)/h? 2, 3 Let u(j) = -25*j**3 - j**2 - j. Let y be u(-1). Suppose 2*d + 3*d = -y. What are the prime factors of (-1)/d - 34/(-5)? 7 Let n(b) = 89*b + 185. List the prime factors of n(27). 2, 647 Let d = 3045 + -828. List the prime factors of d. 3, 739 Suppose 78*c = 72*c + 216. What are the prime factors of c? 2, 3 Let n be 1*17 + (-3)/(-1). Suppose -p = 4*m - 1 + 21, -4*m = n. Suppose 2*h + p*h - 4*c = 52, 0 = -4*c. What are the prime factors of h? 2, 13 Let z(f) = -79*f**2 + 106*f**2 - 2*f + 2 + 0. Let o be z(2). Suppose 5*a = o - 6. List the prime factors of a. 2, 5 Let x be ((-266)/4)/((6/4)/(-3)). Suppose x + 159 = 2*z. List the prime factors of z. 2, 73 Let d = -13 + 13. Let s(g) = g + 2. Let a be s(d). Suppose 3*q - 16 = a*q. What are the prime factors of q? 2 Let r(x) = -66*x + 49. What are the prime factors of r(-5)? 379 Let g(d) = 1753*d**2 + 7*d - 4. List the prime factors of g(1). 2, 439 Let g = 17 - -18. Suppose 0 = m - 0*m - g. List the prime factors of m. 5, 7 Suppose 3*g - 20 = -2*g. Let w = -9 + 85. Suppose 0 = l + u - 5*u - w, -g*l + 304 = -u. List the prime factors of l. 2, 19 Suppose -95*r = -92*r + 3. What are the prime factors of (0 - r)*118*2? 2, 59 What are the prime factors of 1 + 3 + (1345 - 1)? 2, 337 Suppose 5*m + 103 = z, 0 = 3*z - 0*z - 9. Let q(b) = b**2 + 16*b + 20. What are the prime factors of q(m)? 2, 5 Suppose a + 204 = 4*n, -2*n + a + 96 = 2*a. What are the prime factors of n? 2, 5 Suppose -l + 5*l - 778 = -2*n, 4*l + 16 = 0. List the prime factors of n. 397 Let h = 1840 + -1209. What are the prime factors of h? 631 Suppose -3*z - 5 = t + 8, 0 = 3*t - 5*z + 11. Let d = t - -5. What are the prime factors of (-65)/(-10)*(-4)/d? 13 Let g(s) = s**2 + s. Let n(o) = -3*o**2 - 16*o + 4. Let h(a) = -4*g(a) - n(a). Let p = 85 - 74. List the prime factors of h(p). 7 Let y = 63 - 35. Suppose 0*k + 5*k = -75. Let x = k + y. List the prime factors of x. 13 Suppose 3*f = 2*f + 2*y + 2107, 2*f - 3*y - 4217 = 0. What are the prime factors of f? 2113 Suppose 2*n + 20 = 6*n. Suppose -2*k = -n*f + 17, 16 = -2*k + k + 4*f. Let h(x) = x**3 - 3*x**2 + 2. What are the prime factors of h(k)? 2, 3 Let b = -4 + 7. Suppose -4*o = -2*g + 188, 6*g - 285 = b*g + 5*o. Suppose 0*u = -5*u + g. List the prime factors of u. 2, 5 Suppose -4*w + 4686 = 5*l, 9*w = 12*w + 3. List the prime factors of l. 2, 7, 67 List the prime factors of 758*(-3 - (-4 + 1) - -1). 2, 379 Let g(s) = -s**3 + 2. Let q be g(0). Suppose 3 = -5*u + q*z - 1, 5*z + 23 = -4*u. Let j(y) = -7*y - 1. List the prime factors of j(u). 13 Suppose 3*w + 4 = 5*w. Let r(o) be the third derivative of o**6/120 - o**3/6 + 10*o**2. What are the prime factors of r(w)? 7 Suppose -17*i + 22*i - 7890 = 0. List the prime factors of i. 2, 3, 263 Let z = -1038 + 1924. What are the prime factors of z? 2, 443 Let w = -4 - -6. Suppose -6*i + 3*i + 3*n = 36, 3*i = w*n - 33. What are the prime factors of (21/i)/(4/(-60))? 5, 7 Let r(o) be the third derivative of -o**4/6 - 17*o**3/6 - o**2. Let n be r(10). List the prime factors of n/(-6) - (-1)/(-2). 3 Let o = -543 - -1223. What are the prime factors of o? 2, 5, 17 Let s(v) = 4*v - 21. Let r be s(6). Suppose 4*l - 88 - 148 = r*m, -4*l + 228 = -m. List the prime factors of l. 2, 7 Let u = 3109 - 1306. List the prime factors of u. 3, 601 Let q = 18 - 16. Suppose i = -q + 5. Suppose 4*v - 84 = 3*a + 95, -5*v = -i*a - 223. What are the prime factors of v? 2, 11 Let g be (-1)/(-1)*-3 - -6. Suppose 5*v = -g*v + 816. What are the prime factors of v? 2, 3, 17 Let w(c) = -c + 5. Let y be w(3). Let k(g) = -3*g + g**y + 5*g + 3*g. List the prime factors of k(-8). 2, 3 List the prime factors of (-27)/(-36) - 10/(-8). 2 Let k(n) = 17*n**2 + n + 4. Let v(a)
{ "pile_set_name": "DM Mathematics" }
-6, 3, 4 Determine l so that 5*l**3 - 919120*l**2 + 919105*l + 1838230 = 0. -1, 2, 183823 What is v in 2*v**5 + 262*v**4 - 5370*v**3 - 782*v**2 + 16616*v - 10728 = 0? -149, -2, 1, 18 Find d such that -2*d**5/3 - 7894*d**4/3 - 31556*d**3/3 - 47324*d**2/3 - 31546*d/3 - 7886/3 = 0. -3943, -1 Find f, given that 3*f**3/7 - 37158*f**2/7 + 16341141*f + 4166264268/7 = 0. -36, 6211 Factor -n**3/5 + 848*n**2/5 + 851*n/5 - 1698/5. -(n - 849)*(n - 1)*(n + 2)/5 Determine o so that -3*o**4/5 - 1353*o**3/5 - 11994*o**2/5 - 26556*o/5 - 15912/5 = 0. -442, -6, -2, -1 Suppose -n**2 - 3342*n - 23345 = 0. Calculate n. -3335, -7 Determine d so that 8786*d**2/3 - 61496*d/3 - 14 = 0. -3/4393, 7 Find m such that m**5/7 - 43*m**4/7 - 1728*m**3/7 + 61072*m**2/7 + 573056*m/7 = 0. -37, -8, 0, 44 Factor 76*r**3 + 381*r**2 + 5*r. r*(r + 5)*(76*r + 1) Determine j so that -2*j**2/3 + 998*j + 3000 = 0. -3, 1500 Solve 3*g**2 + 31632*g + 126480 = 0 for g. -10540, -4 Determine g, given that 5*g**2 + 51995*g + 51990 = 0. -10398, -1 Factor 5*o**3/6 - 661*o**2/6 + 7867*o/6 - 1547/6. (o - 119)*(o - 13)*(5*o - 1)/6 Find u such that -u**3/7 - 49985*u**2/7 = 0. -49985, 0 Find z such that 3*z**2/4 - 70*z + 928 = 0. 16, 232/3 Let 3*q**5/2 + 339*q**4/2 + 11577*q**3/2 + 114585*q**2/2 - 132636*q + 69384 = 0. Calculate q. -59, -28, 1 Determine w so that 3*w**4 + 1284*w**3 - 140691*w**2 - 431016*w - 289044 = 0. -518, -2, -1, 93 Solve 3*c**3 + 30789*c**2 = 0. -10263, 0 Suppose y**4/8 + 23*y**3/8 - 21*y**2/8 - 1323*y/8 = 0. Calculate y. -21, -9, 0, 7 Factor d**2 + 5232*d - 26185. (d - 5)*(d + 5237) Factor 4*n**2 - 12292*n. 4*n*(n - 3073) Factor k**2/5 - 110238*k/5 + 3038104161/5. (k - 55119)**2/5 Factor 3*a**2/2 + 531411*a + 94132550307/2. 3*(a + 177137)**2/2 Factor -k**3/3 - 160*k**2/3 + 4*k/3 + 640/3. -(k - 2)*(k + 2)*(k + 160)/3 Determine x so that 148*x**2/9 + 42*x - 6448/9 = 0. -8, 403/74 Factor -4*z**2/7 + 16692*z/7 + 200880/7. -4*(z - 4185)*(z + 12)/7 What is n in -n**2 + 3813*n - 3812 = 0? 1, 3812 Factor -2*q**2 - 15520*q + 77650. -2*(q - 5)*(q + 7765) Factor -4*s**3 + 699*s**2 - 5801*s - 1494. -(s - 166)*(s - 9)*(4*s + 1) Find w, given that -2*w**2/9 - 122*w/9 - 848/9 = 0. -53, -8 Determine z so that -z**4/2 - 18*z**3 - 399*z**2/2 - 850*z - 1200 = 0. -20, -8, -5, -3 Factor -2*l**2/3 - 9764*l/3 - 13008. -2*(l + 4)*(l + 4878)/3 Factor -2*b**2/13 - 34494*b/13 + 68996/13. -2*(b - 2)*(b + 17249)/13 Suppose 2*n**5/9 + 16*n**4 + 2432*n**3/9 - 2068*n**2/3 - 12802*n/9 + 5476/3 = 0. What is n? -37, -2, 1, 3 Factor 4*a**3/7 - 376*a**2/7 - 47524*a/7 - 47144/7. 4*(a - 166)*(a + 1)*(a + 71)/7 Factor -a**2/3 - 17214*a - 222241347. -(a + 25821)**2/3 Factor -10*d**3 - 445*d**2 + 685*d - 230. -5*(d - 1)*(d + 46)*(2*d - 1) Determine j, given that -j**2/6 - 17159*j/6 = 0. -17159, 0 Factor -2*i**3 - 13590*i**2 - 23079216*i + 23092808. -2*(i - 1)*(i + 3398)**2 Solve -4*n**3 - 15384*n**2 - 14853060*n - 117841952 = 0. -1919, -8 Factor -5*d**3 - 215*d**2 + 9405*d + 30015. -5*(d - 29)*(d + 3)*(d + 69) Determine b, given that b**5/10 - 309*b**4/10 - 159*b**3/5 + 1234*b**2/5 + 372*b = 0. -2, 0, 3, 310 Suppose 2*b**2/13 - 25172*b/13 + 100656/13 = 0. Calculate b. 4, 12582 What is d in -d**3/3 - 2295*d**2 + 383104*d - 47397476/3 = 0? -7049, 82 Factor 2*a**3/3 - 24148*a**2/3 + 72866584*a/3 + 145829776/3. 2*(a - 6038)**2*(a + 2)/3 What is a in 5*a**4 + 895*a**3/4 + 790*a**2 + 3515*a/4 + 615/2 = 0? -41, -2, -1, -3/4 Solve -729*v**4/7 - 16875*v**3/7 - 84136*v**2/7 - 12188*v/7 - 64 = 0. -16, -7, -2/27 Factor -5*o**4 + 1933035*o**3 - 1933030*o**2. -5*o**2*(o - 386606)*(o - 1) Factor 2*g**2/23 - 14*g + 2156/23. 2*(g - 154)*(g - 7)/23 Find z, given that 2*z**5/13 - 770*z**4/13 + 70554*z**3/13 + 687530*z**2/13 + 1086652*z/13 = 0. -7, -2, 0, 197 Factor 4*d**5 - 80*d**4 + 208*d**3 + 1920*d**2 + 2304*d. 4*d*(d - 12)**2*(d + 2)**2 Suppose w**3 - 3575*w**2 + 3574*w = 0. What is w? 0, 1, 3574 Factor -j**3 - 858*j**2 - 8504*j - 20352. -(j + 4)*(j + 6)*(j + 848) Determine a, given that 4*a**3/7 - 656*a**2/7 + 2540*a/7 + 3200/7 = 0. -1, 5, 160 Factor -2*l**3 + 44882*l**2 + 269364*l. -2*l*(l - 22447)*(l + 6) Solve 2*x**5/5 - 2048*x**4/5 + 8172*x**3/5 - 12248*x**2/5 + 8162*x/5 - 408 = 0. 1, 1020 Suppose -4*r**4 - 166604*r**3 + 166612*r**2 + 166604*r - 166608 = 0. What is r? -41652, -1, 1 Determine f, given that f**3/5 + 28*f**2/5 - 159*f/5 + 198/5 = 0. -33, 2, 3 Suppose 5*v**4/3 + 30*v**3 - 4600*v**2/3 + 15360*v - 140800/3 = 0. What is v? -44, 8, 10 Find z such that -4*z**5 + 748*z**4 - 40728*z**3 + 491904*z**2 + 1862784*z = 0. -3, 0, 22, 84 Factor -2*d**2/15 - 748*d/5 - 209814/5. -2*(d + 561)**2/15 Suppose -4*u**5/15 + 106*u**4 - 51992*u**3/5 - 81920*u**2/3 + 64000*u = 0. Calculate u. -4, 0, 3/2, 200 Factor -9*y**3 - 2088129*y**2 - 2784169*y/4 - 116007/2. -(y + 232014)*(6*y + 1)**2/4 Solve -196520*x**5 - 27437660*x**4 - 1257521790*x**3 - 17961563025*x**2 + 45286519500*x + 62017801875 = 0 for x. -1605/34, -1, 3 Find a, given that -21*a**4 + 4729*a**3/3 - 4958*a**2/3 - 4*a/3 + 296/3 = 0. -2/9, 2/7, 1, 74 Suppose 3*c**5 - 4320*c**4 - 30351*c**3 - 52104*c**2 + 17316*c + 69456 = 0. What is c? -4, -2, 1, 1447 Let r**4 + 29284*r**3 + 214329588*r**2 - 857669792*r + 857786944 = 0. What is r? -14644, 2 Factor -k**2 + 109*k - 2698. -(k - 71)*(k - 38) Factor 108*r**5 + 228096*r**4 + 160427232*r**3 + 37468062464*r**2 - 75579660352*r. 4*r*(r - 2)*(3*r + 2114)**3 Find i such that 3*i**4/7 - 2145*i**3/7 + 377982*i**2/7 + 1956960*i/7 - 2332800/7 = 0. -6, 1, 360 Find y, given that -2*y**4/5 + 2104*y**3/5 + 15988*y**2 + 704216*y/5 - 786258/5 = 0. -19, 1, 1089 Factor -338*d**3/5 + 26182*d**2/5 - 2406*d + 1386/5. -2*(d - 77)*(13*d - 3)**2/5 Let -2*z**5/5 - 1094*z**4/5 - 145724*z**3/5 + 1062028*z**2/5 - 1682498*z/5 + 153458 = 0. Calculate z. -277, 1, 5 Factor 40*s**3 + 622*s**2 - 126*s. 2*s*(4*s + 63)*(5*s - 1) What is c in 12*c**2 - 39286*c = 0? 0, 19643/6 Determine y so that y**5/3 - 473*y**4 + 177073*y**3 - 19463561*y**2/3 = 0. 0, 41, 689 Solve 2*x**2/9 - 372*x + 48034 = 0 for x. 141, 1533 Factor -f**2 - 646462*f - 104478279361. -(f + 323231)**2 Determine k so that -153*k**3/5 - 5817*k**2/5 + 12126*k/5 + 48 = 0. -40, -1/51, 2 Factor -2425*n**2/6 + 350*n - 64/3. -(5*n - 4)*(485*n - 32)/6 Factor 3*z**3 + 4698*z**2 - 18831*z + 14130. 3*(z - 3)*(z - 1)*(z + 1570) Find d such that 4*d**4/11 + 86*d**3/11 + 280*d**2/11 - 2034*d/11 + 936/11 = 0. -13, -12, 1/2, 3 Factor -t**3/5 + 407*t**2/5 - 19466*t/5 + 37312/5. -(t - 352)*(t - 53)*(t - 2)/5 Factor -a**3/8 + 187*a**2/8 - 8359*a/8 - 8547/8. -(a - 111)*(a - 77)*(a + 1)/8 Determine z, given that -2*z**4 + 426*z**3/5 + 27472*z**2/5 + 2184*z = 0. -35, -2/5, 0, 78 Solve -486*b**5 - 6480*b**4 - 32904*b**3 - 242516*b**2/3 - 290966*b/3 - 137180/3 = 0 for b. -5, -19/9, -2 Suppose 579*d**2 + 5217*d + 54 = 0. Calculate d. -9, -2/193 Factor -2*b**2/19 + 27988*b/19 + 139990/19. -2*(b - 13999)*(b + 5)/19 Suppose 147*j**4 - 84*j**3 - 1377*j**2 + 2514*j - 1200 = 0. What is j? -25/7, 1, 8/7, 2 Let 3885*x**3 + 69927*x**2 + 65991*x - 51 = 0. Calculate x. -17, -1, 1/1295 Let -26*a**4/7 - 3242*a**3 + 611918*a**2/7 + 537494*a/7 - 97092/7 = 0. Calculate a. -899, -1, 2/13, 27 Find g such that -20*g**5 - 62945*g**4 - 893955*g**3 - 3289895*g**2 - 767585*g = 0. -3133, -7, -1/4, 0 Determine w so that 5*w**2 + 1830*w + 9025 = 0. -361, -5 Factor -4*d**2 + 58400*d - 213160000. -4*(d - 7300)**2 Suppose 2*t**2/3 + 5480*t + 572950/3 = 0. Calculate t. -8185, -35 Suppose h**4/4 - 166*h**3 + 27222*h**2 + 110888*h + 111556 = 0. What is h? -2, 334 Factor 5*i**2/3 + 33395*i/3 - 167350. 5*(i - 15)*(i + 6694)/3 Let 6*h**5 - 2301*h**4 + 124386*h**3 - 297807*h**2 + 57048*h + 118668 = 0. What is h? -1/2, 1, 2, 62, 319 Suppose 5*z**2 + 591310*z + 1182600 = 0. What is z? -118260, -2 Let s**4/10 + 7438*s**3/5 + 36880083*s**2/5 + 60938185518*s/5 - 121950146079/10 = 0. Calculate s. -4959, 1 Find n such that -n**5/2 + 305*n**4/2 - 21823*n**3/2 - 221841*n**2/2 = 0. -9, 0, 157 Factor -2*f**2 - 20138*f. -2*f*(f + 10069) Factor -5*d**2 + 21300*d. -5*d*(d - 4260) Factor o**5/4 - 3*o**4 + 39*o**3/4 + 11*o**2 - 108*o + 144. (o - 4)**3*(o - 3)*(o + 3)/4 Solve 2*t**4/11 - 80*t**3/11 + 874*t**2/11 - 116*t - 6720/11 = 0. -2, 5, 16, 21 Factor k**3/2 - 789*k**2/2 + 1552
{ "pile_set_name": "DM Mathematics" }
))*3)/((sqrt(144)*-2)/sqrt(12)))**2. 63/4 Simplify (-2*2*sqrt(117))/sqrt(9). -4*sqrt(13) Simplify sqrt(612) + -4 - (sqrt(17) + -2)*1. -2 + 5*sqrt(17) Simplify (-1 + (-2*(sqrt(720)*-2 + sqrt(720)))**2 + sqrt(720))*4. 48*sqrt(5) + 11516 Simplify -5*(-2 + sqrt(19)) + (-1 + sqrt(2736) + sqrt(2736) - sqrt(19)). 9 + 18*sqrt(19) Simplify -4 + sqrt(75)*-3 + sqrt(75) + 3 + 3. -10*sqrt(3) + 2 Simplify 0 + 4*(sqrt(3) + 2) + -1. 4*sqrt(3) + 7 Simplify (-6*(-4 + sqrt(272)*2))**2. -2304*sqrt(17) + 39744 Simplify -2 + 3*sqrt(3)*-1. -3*sqrt(3) - 2 Simplify (5 + 3*sqrt(32))**2 - (2*sqrt(2)*6 + sqrt(2) - (sqrt(2) + sqrt(8) + 1)). 110*sqrt(2) + 314 Simplify (-2*sqrt(80) + sqrt(80) + ((sqrt(200)/sqrt(4) - sqrt(50)) + sqrt(50))/sqrt(10))**2 + -1. 44 Simplify 3 + ((3*sqrt(132))/sqrt(12))**2. 102 Simplify (sqrt(6)/(sqrt(4)/sqrt(2)) + sqrt(3))*-5. -10*sqrt(3) Simplify -5*sqrt(143)/(sqrt(11) + (sqrt(11) - (-1*sqrt(11) - sqrt(11))) + sqrt(11)) - sqrt(156)/(3*(sqrt(12) + sqrt(48))). -10*sqrt(13)/9 Simplify ((sqrt(132)/(2*sqrt(4)))/(sqrt(88)/(sqrt(24)/sqrt(3)) + sqrt(11)))**2. 3/16 Simplify (sqrt(2) + sqrt(2)*-2 + -1 - sqrt(2))**2 + -5*sqrt(32). -16*sqrt(2) + 9 Simplify sqrt(567) - (sqrt(567)*2)**2 - 4*(-2*sqrt(7) + sqrt(7)). -2268 + 13*sqrt(7) Simplify -1 + (-6*(sqrt(114)*-2 + sqrt(114)) - sqrt(114))/(sqrt(672)/sqrt(7)). -1 + 5*sqrt(19)/4 Simplify (2*sqrt(1980))/(sqrt(30)/(sqrt(6)*2 + sqrt(6))). 36*sqrt(11) Simplify (-1*sqrt(2695))/(1*sqrt(704)). -7*sqrt(5)/8 Simplify (1 + sqrt(448)*-2)**2 + -4. -32*sqrt(7) + 1789 Simplify 3 + (-1*sqrt(136)*-3)/(2*sqrt(8)*1 - sqrt(8)). 3 + 3*sqrt(17) Simplify sqrt(187)/(sqrt(275) - sqrt(275)*3). -sqrt(17)/10 Simplify (sqrt(242) + 2 + 3 + sqrt(242)*-1*5)**2. -440*sqrt(2) + 3897 Simplify (sqrt(2057) - (sqrt(2057) + -1*sqrt(2057)*2)) + -2 + sqrt(2057)*2. -2 + 44*sqrt(17) Simplify sqrt(36)/(sqrt(48)/(2*sqrt(4))). 2*sqrt(3) Simplify 5 + ((sqrt(810)*2)/(sqrt(10)/sqrt(2)*3))**2. 77 Simplify (4*-2*sqrt(68)*4)**2. 69632 Simplify (0 + (sqrt(5)*-2)**2 - sqrt(5) - (sqrt(5) - ((sqrt(180)*1)**2 - sqrt(180))))*-1. -200 + 8*sqrt(5) Simplify (-2*sqrt(1125))**2. 4500 Simplify 3 + sqrt(34)/(2*sqrt(98)). sqrt(17)/14 + 3 Simplify (2 + sqrt(84)/(sqrt(48)/sqrt(4)) + sqrt(21)/sqrt(3)*-5)**2. -16*sqrt(7) + 116 Simplify (sqrt(49)/(sqrt(7) + 1*sqrt(252) + sqrt(252)))**2*-3. -21/169 Simplify 1*(((sqrt(13) - sqrt(13)*1 - sqrt(13))**2 - sqrt(13)) + -2). -sqrt(13) + 11 Simplify (-1*sqrt(153) + -5 + sqrt(68))**2 + 0 + -1 + sqrt(833). 41 + 17*sqrt(17) Simplify sqrt(20)/(sqrt(10) - (1*sqrt(640) - sqrt(640))). sqrt(2) Simplify -2*sqrt(162) - (1 + (0 + sqrt(2) - sqrt(2))**2). -18*sqrt(2) - 1 Simplify 3 + sqrt(11)*2 - (sqrt(44) + -2)**2. -45 + 10*sqrt(11) Simplify (2*sqrt(28)*2)/((sqrt(196) + sqrt(4))*3). sqrt(7)/6 Simplify 3 + (0 + sqrt(2299))**2*-5. -11492 Simplify (-1 + sqrt(891)*4*-5)**2. 360*sqrt(11) + 356401 Simplify (sqrt(1728) + sqrt(1728)*1 - sqrt(1728) - sqrt(1728) - sqrt(1728))/sqrt(4). -12*sqrt(3) Simplify ((sqrt(210)*-2)/sqrt(6))/(sqrt(378)/sqrt(6)). -2*sqrt(5)/3 Simplify 1 + ((sqrt(180) - (sqrt(180)*1 + sqrt(180)))*-4)**2. 2881 Simplify (1*sqrt(44) + -1*-3*sqrt(11))**2. 275 Simplify -4*sqrt(13)*-3 - (sqrt(13) + -3 + 4 + sqrt(13)). -1 + 10*sqrt(13) Simplify ((5*sqrt(170)*4 - sqrt(170) - sqrt(170))/((sqrt(60) - sqrt(960))/sqrt(6)))**2. 612 Simplify ((sqrt(325) - (3 + sqrt(325) + sqrt(325)))*2)**2. 120*sqrt(13) + 1336 Simplify (sqrt(136) + sqrt(136)*-1)/sqrt(8) + sqrt(68)/sqrt(16) + sqrt(17). 3*sqrt(17)/2 Simplify (sqrt(110)/(sqrt(10) + sqrt(250)) - (1*sqrt(77))/sqrt(7))*2. -5*sqrt(11)/3 Simplify -5 + (2*(sqrt(13) - sqrt(52)) - sqrt(13)). -3*sqrt(13) - 5 Simplify (sqrt(95) - (sqrt(95)*-2*-4 - sqrt(95)))/(sqrt(5) + (sqrt(20)*2)/sqrt(4)). -2*sqrt(19) Simplify ((-5 + sqrt(1100) + -1)*3)**2. -1080*sqrt(11) + 10224 Simplify ((-3 + 2 + sqrt(68))*2)**2. -16*sqrt(17) + 276 Simplify (-4*-3*sqrt(117))/(sqrt(27)/sqrt(3)*3). 4*sqrt(13) Simplify ((sqrt(27) + sqrt(54)/sqrt(2)*3 + sqrt(27))/(sqrt(900)*1))**2. 3/4 Simplify 4*(-2 + sqrt(700)). -8 + 40*sqrt(7) Simplify 1 + sqrt(180). 1 + 6*sqrt(5) Simplify sqrt(10)/(-3*(sqrt(4)/sqrt(2) + sqrt(2))). -sqrt(5)/6 Simplify 4*(-5 + sqrt(5)*-1). -20 - 4*sqrt(5) Simplify -1 + (sqrt(7) + -4*(sqrt(7) + 1))**2 + sqrt(7). 25*sqrt(7) + 78 Simplify sqrt(11) + (sqrt(132) - (sqrt(132) - (sqrt(132) + -2*sqrt(132)) - sqrt(132)) - sqrt(132))/sqrt(12) + sqrt(11) + -1 + -1. -2 + sqrt(11) Simplify (4*sqrt(44)*-2)/(sqrt(1000)/sqrt(10)). -8*sqrt(11)/5 Simplify -4*(-5 + (sqrt(11) + 2 + sqrt(11))**2). -172 - 32*sqrt(11) Simplify (1*(sqrt(2) + 1) + (sqrt(12) - sqrt(48)/sqrt(4))/sqrt(6))**2*-2*-3. 12*sqrt(2) + 18 Simplify (sqrt(306)/sqrt(6)*-4)/sqrt(3). -4*sqrt(17) Simplify (2 + 0 + sqrt(243))**2. 36*sqrt(3) + 247 Simplify -2*sqrt(700)*-1 + -4. -4 + 20*sqrt(7) Simplify -5 + (-4*sqrt(352))/(-2*sqrt(1100)). -5 + 4*sqrt(2)/5 Simplify (sqrt(17)*-2*-6 - (sqrt(272) + 1)**2) + -4. -277 + 4*sqrt(17) Simplify ((-2 + 0 + sqrt(2))*-5 + 3)**2. -130*sqrt(2) + 219 Simplify ((0 + 2*sqrt(153) + sqrt(153))*3)**2. 12393 Simplify sqrt(80)*-3 + -1 + -5. -12*sqrt(5) - 6 Simplify 1 + -2*sqrt(363). -22*sqrt(3) + 1 Simplify (4 + sqrt(833) + 2)*-5. -35*sqrt(17) - 30 Simplify -2*sqrt(432)*4. -96*sqrt(3) Simplify (1*(sqrt(76) - (sqrt(76)*-1 - sqrt(76))))/(-3*sqrt(324)). -sqrt(19)/9 Simplify sqrt(13) + (-3*sqrt(637) + sqrt(13))**2 - (sqrt(13) - (1 + sqrt(13)))*-5. sqrt(13) + 5195 Simplify ((-2 + sqrt(11) + 1 - (sqrt(1100)*1 + sqrt(1100) + sqrt(11))) + -2)**2. 120*sqrt(11) + 4409 Simplify -1 + 4*(sqrt(13) + sqrt(13)*3) + 0. -1 + 16*sqrt(13) Simplify (sqrt(1053) - (-2 + sqrt(1053)))*-3. -6 Simplify 3*(sqrt(2448) + 1 - sqrt(2448)) + (5 + sqrt(2448)*-1 - sqrt(2448)). -24*sqrt(17) + 8 Simplify sqrt(121)/(sqrt(132)/sqrt(12)) + -4 + sqrt(704). -4 + 9*sqrt(11) Simplify -3 + ((sqrt(2) - sqrt(2)*1)*5)**2. -3 Simplify (sqrt(15)*1*-2)/(2*sqrt(48)). -sqrt(5)/4 Simplify sqrt(17) + 0 + 0 + sqrt(17) + 0. 2*sqrt(17) Simplify (sqrt(24)*2)/sqrt(8) + -1 + sqrt(3) + sqrt(3) + -1 + sqrt(3). -2 + 5*sqrt(3) Simplify 4*(sqrt(108) + 0 + sqrt(108) - sqrt(108))**2*3 + 2. 1298 Simplify -4 + sqrt(243) + (sqrt(243) - 1*sqrt(243))**2 + (sqrt(243) - -4*(sqrt(243) + 1)) + 0. 54*sqrt(3) Simplify (-1 + sqrt(108) + 0 + sqrt(108) + 3 + -1)**2. 24*sqrt(3) + 433 Simplify 1*(sqrt(68)/sqrt(4))**2*5. 85 Simplify sqrt(18) + sqrt(18) + 0 + 5. 5 + 6*sqrt(2) Simplify ((sqrt(152)*3 - sqrt(152))*2 + sqrt(152) + sqrt(152))/((sqrt(64)*-2)/sqrt(8)). -3*sqrt(19) Simplify 4*(sqrt(1100) - (sqrt(1100) + 0) - sqrt(1100))*1. -40*sqrt(11) Simplify (-2*(4 + sqrt(147) - sqrt(147)))**2. 64 Simplify (sqrt(22)/(sqrt(4)/sqrt(2)) - 2*sqrt(11)*1)*-1. sqrt(11) Simplify 4 + (sqrt(18) + -2*1*sqrt(18))/(6*sqrt(27)/sqrt(3)). -sqrt(2)/6 + 4 Simplify (-2 + (3*sqrt(405) - sqrt(405)) + sqrt(405) - (sqrt(405) + -2 + sqrt(405) + 1))**2. -18*sqrt(5) + 406 Simplify (-2*-4*(0 + sqrt(44)/sqrt(4)))**2. 704 Simplify 1*(4 + (sqrt(832) + -5)**2). -80*sqrt(13) + 861 Simplify sqrt(3) + sqrt(18)/sqrt(6)*5 - (3*sqrt(3)*5)**2. -675 + 6*sqrt(3) Simplify (sqrt(55) - 1*sqrt(3520))/((sqrt(20)/sqrt(4) + sqrt(5))*3 + sqrt(5) + sqrt(5)). -7*sqrt(11)/8 Simplify (sqrt(12) - (sqrt(432) + sqrt(432)*2))/(sqrt(64)/sqrt(4) + sqrt(16) - sqrt(4)) + -1. -17*sqrt(3)/3 - 1 Simplify 2 + -3 + sqrt(68)*1. -1 + 2*sqrt(17) Simplify 4 + (-1 + sqrt(76))*4. 8*sqrt(19) Simplify ((4 + sqrt(5) + sqrt(15)/sqrt(3))**2 + ((sqrt(20)*-2)/sqrt(4) - sqrt(5)))*2. 26*sqrt(5) + 72 Simplify (sqrt(110)/(sqrt(2) - (sqrt(2) + sqrt(8)/sqrt(4))))/(sqrt(60)/sqrt(432)). -6*sqrt(11) Simplify ((1 + sqrt(175))*-3 + -6*(sqrt(175) + -1))**2*1. -270*sqrt(7) + 14184 Simplify (sqrt(252)/sqrt(7)*3)/sqrt(12). 3*sqrt(3) Simplify (sqrt(2448) + -2 + sqrt(2448) + sqrt(2448) + 0 + -5)**2. -504*sqrt(17) + 22081 Simplify -4 + -1*sqrt(2) + sqrt(18) + -1. -5 + 2*sqrt(2) Simplify ((-2 + sqrt(175))*-6)**2. -720*sqrt(7) + 6444 Simplify (-2*sqrt(384) - sqrt(6))/(2*sqrt(3)*-5). 17*sqrt(2)/10 Simplify -1*(sqrt(11)*-3)**2 - sqrt(44)/(sqrt(4) - (sqrt(28)/sqrt(7) + sqrt(4))). -99 + sqrt(11) Simplify 0 + 1 + (sqrt(99) + -1 + sqrt(99) - sqrt(99)). 3*sqrt(11) Simplify (sqrt(3600) + (sqrt(3600) - (sqrt(3600)*-2 - sqrt(3600)) - sqrt(3600)))/sqrt(5). 48*sqrt(5) Simplify sqrt(22)/((sqrt(220)/sqrt(4))/sqrt(5) + sqrt(11))*3. 3*sqrt(2)/2 Simplify (sqrt(
{ "pile_set_name": "DM Mathematics" }
t k be z(w). Is 4 < k? False Let c(y) = -2*y + 1. Let s be c(5). Let m = 157 + -158. Is m at most s? False Let f = 1303/15 - 87. Let a be 1*(-2 - 0) + 20. Let m be ((-12)/a)/(2/3). Are m and f equal? False Let s be 9/20 + (-4)/8. Is -1 < s? True Let r be 2 + (-3 - -7) + -3 + 11. Which is bigger: r or 15? 15 Let l(k) = 19*k**2 - 3*k + 3. Let h be 8/(-40)*(-2 - 3). Let v be l(h). Does v = 18? False Let h = 4 + -4. Let f be (-2 - h)*(-2 + 3). Which is bigger: 3 or f? 3 Let z(q) = -q - 2. Let v(u) = -4*u**2 - u. Suppose 2*c = -2 - 0. Let n be v(c). Let p be z(n). Which is smaller: p or 3? p Let m = -9 + 10. Suppose -3*u + 13 - m = 0. Which is bigger: u or 3? u Let n be 1/1 - (-2)/(-3). Let x be (-8)/14 + (-6)/14. Is n greater than x? True Let f be -1 + 0 + (-3 - 0). Let w be 0*(1 - -3)/f. Which is smaller: w or 1/13? w Let s be ((-14)/(-21))/((-2)/(-27)). Let p be (1/(-3))/(3/s). Which is smaller: p or -2? -2 Suppose -4 = -4*r + 12. Suppose 3*h - y = -5*y + 3, 12 = -4*y. Are r and h unequal? True Let l = -3 + -4. Let y = 3 + l. Let f = y + 4. Which is bigger: -4/3 or f? f Let q(g) = -g - 2. Let k be q(-2). Let j be -3 + (2 - k - 0). Let x = -3/4 - 0. Which is bigger: x or j? x Let v = -1/3 + 1/12. Let k(f) = f**3 - 5*f**2 + 3*f + 5. Let g be k(4). Which is smaller: v or g? v Let q be -3 + (-1)/((28/16)/7). Are q and -7 equal? True Let y = -4.5 + 0.5. Let f = 5 + y. Which is bigger: f or 0? f Suppose -4 - 18 = y. Let t be 8/6 + y/12. Let s(f) = -f**3 + 6*f**2. Let k be s(6). Is t greater than or equal to k? False Suppose 2*a + l - 8 = 0, -2*a + 0*a + 20 = -5*l. Suppose a*c = w + 4*w - 15, 0 = 4*w - c + 3. Is w less than or equal to -1? True Let g = 2/105 + -16/105. Is g at least 1? False Let t(o) = o**3 + 4*o**2 + 2*o + 5. Let z be t(-4). Let x = -4/21 + -31/21. Is z < x? True Let l = -13 + 17. Suppose 10 - 22 = -t - 2*r, -l*t + 20 = r. Let a(g) = g. Let m be a(3). Is m at most as big as t? True Let n be 0 + -2 + (-48)/(-22). Let y(d) = -4*d**3 + d**2 + d. Let a be y(-1). Let u = -5 + a. Do n and u have the same value? False Suppose 0 = -y - 3*d - 6 + 72, -4*y + 297 = d. Which is greater: y or -0.1? y Let n(c) = c**2 + 7*c + 6. Let k be n(-4). Let f = k - -18. Suppose -4*j + f = 6*g - 2*g, -3*g = -2*j + 11. Is -2/3 at least as big as g? True Let n = 0.1 - -0.5. Let a = n + -0.3. Let b = -0.5 + a. Which is smaller: b or -0.1? b Let i = 41798/43 + -972. Which is bigger: i or 1? 1 Let j = 11 + -16. Let d be 10/(-6)*(-1)/5. Which is greater: d or j? d Let g = -27 - -43. Let t = g - 14.8. Let j = t - -3.8. Is j greater than 1/4? True Let b = 1855/4 + -468. Is 1/3 bigger than b? True Let b = 11 - -19. Suppose 15 = -3*j - 39. Let c be (-6)/b*10/j. Is c at most as big as -1? False Let o = 6.94 + -7. Let j = o - -0.16. Do 0.2 and j have different values? True Suppose 0 = 2*g - 2*c - 8, 0 = 5*g + 3*c + c - 11. Do g and 4 have different values? True Suppose 2*h + 12 = u, -4 = 4*u + 5*h - 0. Does u = 7? False Let h(q) = q**3 + 3*q**2 - 9*q - 9. Let k be h(-6). Let v = 33 + k. Let r be (-4)/10 - 32/v. Which is smaller: r or 3? r Suppose -4*u = 13 - 5. Let b = -79 + 78.9. Is b smaller than u? False Let w be 4 - (-1 - 3/(-3)). Let b = -9 + 12. Which is smaller: b or w? b Suppose 1 = 5*r - 39. Let o(g) = -g**3 + 7*g**2 + 6*g + 10. Let k be o(r). Which is greater: k or -5? -5 Let h = 16 - 19. Which is bigger: -5 or h? h Suppose -1 = -2*v - 3. Let g = -1533383/275 + 5575. Let b = -28/25 - g. Which is greater: v or b? b Let q = -3 - -3. Let c be (q/(-1))/(1 + 0). Which is smaller: c or 0.3? c Let x be (-1)/3 - 4/6. Let h be 30/56 - (-48)/(-168). Is x equal to h? False Let p = 2 + -2. Let b(r) = r - 8 + 2 + 8. Let v be b(p). Which is greater: 1/4 or v? v Let c = -29 - -89/3. Let z = 1 + -3. Let f = 2 + z. Which is smaller: c or f? f Let i = 2 - 0. Let l = -95.1 - -95. Which is greater: i or l? i Let q be (-12)/(-21) - 18/105. Suppose 4*l - 5*f = -1, 4*l - 2*f = 8 + 6. Suppose 0 = 5*z + 3*d - 7*d + 15, -z = d - l. Is q at least as big as z? False Let q = 69 - 205/3. Suppose 18 = 4*c - 10. Let m(t) = -t**2 + 6*t + 8. Let n be m(c). Is q less than or equal to n? True Let g = -27 + 17. Let v be ((-1)/2)/((-15)/g). Are -1 and v equal? False Suppose -j - j = 6. Which is greater: j or -5? j Suppose 2*v = 15 - 5. Let h be v/(-15) - (1 + -2). Is h bigger than 1? False Suppose -2*i = -3*i - 14. Is i smaller than -13? True Let q be 2 + 572/(-96) + 4. Which is smaller: q or 1? q Suppose 5*l + o + 5 = 73, -l = -2*o - 7. Which is smaller: l or 12? 12 Suppose 48 = 3*y + 3*u, -2*y - 3*u = -3*y + 8. Let h be (1 + (-2)/y)*7. Is 6 less than h? False Let y = 5.02 - 5. Let c = 30 - 61/2. Which is smaller: c or y? c Let v(b) = -b**2 - 1. Let r(g) = g**2 - 2*g + 5. Let u(o) = r(o) + 3*v(o). Let i be u(-2). Is i equal to -2? True Let t be (-1)/(-4) - (-9)/(-4). Suppose 5*o + 10*o = 15. Do o and t have different values? True Let p = 0 + -0.1. Let o be (146/50 + -3)*(-10)/8. Which is greater: o or p? o Let v = 1 + -2. Let b be 40/(-140) - 6/(-70). Which is bigger: b or v? b Suppose 3*n + 16 = 1. Let f = n - -6. Which is smaller: f or -2/11? -2/11 Let u be (3/6)/(1/2). Let l = 188472 - 43536961/231. Let o = l + 2/77. Which is bigger: u or o? u Let p = -0.2 + 0.4. Let t = 10 - 7. Let h be ((-2)/t)/(6/(-9)). Which is bigger: h or p? h Let u = 0.9 + -0.6. Which is smaller: 0 or u? 0 Let h = 1/8 + -3/8. Let p(k) = 3*k + 0*k + k + 1 - k + k**2. Let s be p(-3). Which is smaller: h or s? h Let q(p) = -p**3 + 4*p**2 - 3*p + 7. Let x = 19 + -16. Let w be q(x). Is w at most as big as 5? False Let d = -0.14 + 0.04. Is d greater than -1.3? True Let k = -0.5 + 0.62. Let l = 0.22 - k. Which is bigger: -6 or l? l Let l = -14882/17 + 875. Which is greater: l or 1? 1 Suppose -4*t = -3*t + 2. Which is greater: t or -7/4? -7/4 Let h be 4/(-12) - (-34)/(-6). Let i be (h + 3)*1/3. Which is greater: i or -1/3? -1/3 Let m be -2 + 3 - 1 - -3. Suppose 4*j - 32 = -3*y, 4*y = m*j + j - 4. Suppose 2*v - 8 - 9 = -3*r, -j*r = -v - 24. Which is greater: -0.3 or v? v Let w = 2 + 0. Suppose 5*r = 3*u + 29, 6*r - 22 = 2*r + 2*u. Which is smaller: r or w? w Let r = -0.05 - -3.05. Let c = 4 - r. Suppose -2*a + 1 - 3 = 0. Which is smaller: c or a? a Let p(w) = w**2 + 2*w - 27. Let a be p(4). Let v = -3 - -1. Is a at least as big as v? False Let s = 2.8 - 2.89. Let w = -136/315 - -2/63. Which is smaller: w or s? w Suppose t = -4 + 5. Let g be -1*(-1)/(-3)*-3. Let s = t + g. Is 2 != s? False Let z be (3 - 6) + 2 + 1. Is -2/53 at most as big as z? True Suppose 3*r = 32 - 5. Suppose n - 5*t - r - 15 = 0, t = n - 4. Which is smaller: n or -3/13? n Let f = -6.38 - 1.32. Let j = f - -8. Let l = -17/3 + 6. Which is greater: l or j? l Let u(x) = -x**3 + 5*x**2 - 3*x + 1. Let o be u(4). Let f be 11/(-2) + (0 - 0). Let q = f + o. Which is greater: -2 or q? q Let f be (-2)/(-3) - 4/6. Let w(y) = 15*y - 3. Let i be w(3). Let p be -2 + 0 + i/18. Which is greater: p or f? p Let d be (12/24)/((-2)/4). Which is smaller: d or -2/19? d Let y be (-1)/(-2)*(-150)/(-5). Let q be (24/y)/4 + -1. Which is greater: q or 0.3? 0.3 Suppose -2*n + 13 = -5*x - 1, -n = -2*x - 5. Are -6 and n unequal? True Suppose -5*r + 4*s - 2*s = -42, -4*r = -3*s - 35. Let x be 76/r - 1/(-2). Is x < 12? True Let k(q) = q + 1. Let c be k(1). Suppose 0 = u - c*u. Suppose -v + 0*v + 4*a + 8 = u, 0 = -5*v + 5*a + 10. Which is greater: -1 or v? v Let q be (8/3)/(4/72). Let c be 4/q*(-8)/(-130). Let k = c + -203/1560. Are k and -1 equal? False Let j = -33 + 36. Which is smaller: j or 12/5? 12/5 Let n = 10 + -11. Let m be 4/(8/(-18)) - n. Suppose 0 = 3*d - d + 14. Which is smaller: d or m? m Let a be (-8)/(-6)*18/156. Is 0.1 at least a? False Let w = -39 + 33. Is w equal to -7? False Let i be (32/(-20))/((-2)/5). Let s = i - -2. Suppose -3*y = -s*y. Which is smaller: -2/3 or y? -2/3 Let g = 1.9 - 2. Let v(r) = -r**3 - 8*r**2 - r - 5. Let x be v(-8). Which is smaller: x or g? g Let u = 1.32 - 1.02. Which is bigger: u or 22? 22 Let q(g) = -2*g + 3. Let z be q(2). Let y = -214/105 + 32/15. Is y less than or equal to z? False Let x(s) = s**3 - 5*s**2 - 6*s + 7. Let i be x(6). Suppose 2*k - 12 = -4*h, 2*h - 3*h + 2*k = i. Which is smaller: h or -1/9? -1/9 Suppose 6*y = 7*y. Which is
{ "pile_set_name": "DM Mathematics" }
osite number? False Let b(h) be the third derivative of 25*h**4/2 + h**3/6 - 4*h**2. Is b(1) composite? True Let h = 16 + -3. Is h prime? True Suppose 0 = -3*y + 1980 - 87. Is y a composite number? False Let q be (-156)/42 - (-2)/(-7). Is (-180)/(-8) - (-2)/q composite? True Let k = 12 - 7. Let p = k + -4. Is (2/(-4))/(p/(-110)) a composite number? True Suppose c + c - x - 7199 = 0, 5*c - x = 18005. Is c/14 + (-6)/21 a composite number? False Suppose 0 = -4*d + 7*i - 8*i + 3551, 0 = d + 2*i - 893. Is d composite? False Suppose 2*n = 3 + 1. Is n prime? True Is (2/(-8))/(1 - (-7359)/(-7356)) a composite number? False Suppose 3*m = s - 3*s - 12, 4*m + 16 = 2*s. Suppose s*u - u + 139 = 0. Is u prime? True Let r = -318 + 905. Is r a prime number? True Let o(q) = 80*q**3 - 2*q**2 + 1. Suppose -2*v - 3*v + 34 = 3*x, v - 8 = -x. Let s be -2 + x*(-1 - -2). Is o(s) composite? False Let s = -16 - -22. Let z(u) = -u**3 - 7*u**2 + 7*u + 8. Let p be z(-8). Suppose a = s + p. Is a a prime number? False Let y(a) = -23*a - 4. Let m(o) = o - 1. Let r(n) = 3*m(n) + y(n). Is r(-5) composite? True Let o(g) = g + 2. Let n be o(8). Suppose 0*t + n = -5*t. Is t/(-7) - (-887)/7 composite? False Let i = 288 + 1073. Is i a prime number? True Suppose 357 = 7*i - 56. Is i composite? False Is (-218 - (5 - 4))*-1 a prime number? False Let n = 117 + -58. Is n composite? False Let s(u) = u**2 + 10*u + 1. Let m be s(-10). Let h(i) = -i**3 - 6*i**2 - i - 4. Let f be h(-6). Is 2*(m - (-67)/f) composite? True Suppose z + 10 = 3*n - 10, -2*z = -n. Suppose -110 = 3*r - n*r - 5*f, 79 = 4*r + f. Is r a prime number? True Let h = 172 - 270. Let w be 3/(-6) - h/4. Let s = w + 9. Is s a composite number? True Suppose 0 = k - 0*k + 1. Let p = 4 + -2. Is k/(p + 150/(-74)) prime? True Let a(i) = -84*i**3 - 7*i**2 - 6*i - 3. Is a(-2) a prime number? True Let f = 170 + -49. Is f composite? True Suppose 0 = 5*w + 4*d - 102, -2*w - 2*w - 3*d + 82 = 0. Suppose 3*l + 9 = 0, -5*j - 3*l + w = -2*l. Is 4/(3 - j) - -69 composite? False Let b(p) be the third derivative of 7*p**6/12 - p**5/20 + p**3/6 - p**2. Let o be b(2). Suppose -6*z + o = -3*z. Is z a composite number? True Suppose 13*c = 6*c + 9695. Is c composite? True Is (-2 - -3) + 2*186 a prime number? True Suppose 2*w = -2*w - 20. Let m = w - -3. Is m/2*11*-1 composite? False Suppose -3*u + 4*n + 1 + 1 = 0, 5*u - n - 9 = 0. Is u/11 + (-10482)/(-66) prime? False Let v = -8 + 10. Is 96 - 1/(-2)*v composite? False Suppose -2 = 2*h - 3*h. Is 14/(-21)*(-9)/h a composite number? False Suppose 0 = 2*h - 3*h + 3. Let z be ((-189)/(-6))/h*74. Suppose 4*f = z + 427. Is f composite? True Is (1 + 1168/4)/1 composite? False Suppose 3*w - 23 = p, -3*p + 4*p = -w + 5. Is w a prime number? True Let t(v) be the third derivative of v**5/15 - 5*v**4/24 + 2*v**3/3 - 5*v**2. Is t(-7) a prime number? False Let o = 3 - 2. Let f be -1 + 141 + (o - -1). Suppose f = 4*n - 3*b, 3*b - 3 = 3. Is n composite? False Let t be -2 + 54/3 + -3. Let b = t - -7. Let i = 29 - b. Is i a composite number? True Suppose 4*o - 1466 = 1098. Is o composite? False Suppose 384 = k + 3*k. Let w = 319 - k. Is w a composite number? False Let g(u) = -u**2 - 8*u + 8. Let n be g(-9). Let h = 6 + n. Let v(a) = a**3 - 4*a**2 + 2*a - 4. Is v(h) a composite number? False Let h(m) = -m**3 - 6*m**2 + 7*m - 2. Let w be h(-7). Let d(x) = -5*x**3 - x**2 + 4*x + 3. Is d(w) a prime number? True Let u = 823 - 468. Is u prime? False Let n(o) = -71*o**3 + o**2 - 7*o - 10. Is n(-3) a composite number? True Let s = -4 + 43. Suppose -5*p - 4*g = 50, 2*g = -4*p - g - s. Let v = -3 - p. Is v prime? True Let s = 3 - 2. Is (-222)/12*s*-2 composite? False Let v(g) = 5*g + 27. Is v(8) a prime number? True Let t = -2156 - -4101. Is t composite? True Suppose -x + 3684 = 5*x. Is x prime? False Let y be 18/24 - (-110)/(-8). Suppose -71 = -3*c + 5*r, -4*c + 102 + 41 = 3*r. Let t = c + y. Is t prime? True Suppose h + 419 = 3*l - 248, 5*h - 249 = -l. Suppose b = 2 + 1, 4*j - 4*b - l = 0. Is j composite? False Suppose -377 - 128 = -5*r. Suppose 5*g = r + 504. Is g prime? False Suppose 5*f + 4*s - 2817 = -90, -4*s - 2196 = -4*f. Is f a composite number? False Is (-51)/(1 - 5 - -3) a composite number? True Suppose -4*h + 8 = -0. Is (h - (-2 + 3))*31 a composite number? False Let g be 16/(-12) + (-2)/3. Let n be (-2 + -2)*1/g. Suppose -2*h = -6, -4*i - n*h = -216 - 298. Is i composite? False Suppose 0*f = f - 20. Suppose -6 = -h + 5*b + f, -3*b - 121 = -4*h. Suppose p - h = 48. Is p prime? True Let h(f) = 22*f**2 + f. Let u be h(1). Let z = u - -14. Is z composite? False Let t be (8/(-20))/(2/(-10)). Suppose -2*k - 3*u - 8 = 0, k - 3*k - t*u - 4 = 0. Is (-178)/(-14) - k/(-7) a prime number? True Suppose -3*x + 3*y = y - 71, 3 = -3*y. Suppose -4*c - 2*t = -0*c - 26, -x = -2*c + t. Let f = c - -208. Is f a composite number? True Let r(h) = -3*h + 7. Let v be r(-7). Let j = v + 46. Is j prime? False Suppose 2*b - n - 1260 = 0, -4*b = b + 5*n - 3165. Is b composite? False Let b(w) = 2*w**2 - 2*w + 2 - 1 + 0*w**2. Let h be b(1). Suppose d = -4 - h, 2*a - 185 = 3*d. Is a composite? True Let q = 19 - 12. Let j(a) = 2*a**2 - 6*a + 9. Is j(q) a prime number? False Let y(h) = 2*h**3 + 4*h**2 + 5*h + 7. Is y(5) prime? False Let d = 1 - 1. Let p = 0 - d. Suppose p = j + 2 - 33. Is j a prime number? True Let f(o) = o**3 - 6*o**2 + 3*o - 3. Suppose -k + 1 = -5. Let x be f(k). Suppose 8*q - 3*q = x. Is q a composite number? False Let k(v) = 34*v - 19. Is k(7) a prime number? False Let r = 926 + -619. Is r a prime number? True Let i(t) = 308*t**2 + t - 2. Is i(1) prime? True Is 1/(3/(-12)) - -275 prime? True Let k = -576 + 911. Is k a composite number? True Suppose -2*v - 1044 = 3*o, 3*o + 110 = -4*v - 940. Let p = o + 551. Is p prime? False Suppose 0 = 4*j - 5*d - 46, -2*j + 3*d - 76 = -7*j. Is j composite? True Let p(x) = 1 + 4*x**2 + 1 - 7 - x**3 + 6*x + 3*x**2. Is p(-5) a prime number? False Suppose 5*u - 4343 = 4*n, -2 - 10 = -4*n. Is u a prime number? False Suppose 8 = 2*x - 0. Suppose z - r = 46 + 76, -486 = -x*z + 2*r. Is z a composite number? True Suppose v = 3*b + 9682, v = -2*b - 2*b + 9647. Is v a prime number? False Let s = -28 + 26. Is 134/(-4)*s - 0 prime? True Suppose -77 + 21 = 2*o. Let x = o + 42. Is x a composite number? True Suppose -3*m + m + 14 = 0. Suppose -4*a = -m*a + 9. Suppose 3*x - 166 = -2*c, 2*c - 2*x - 166 = -a*x. Is c a prime number? True Let k be (-2)/(4/(-2)) + 80. Let f be (-4)/(-18) + (-464)/(-18). Let g = k - f. Is g composite? True Suppose -2*d - 3*d - 558 = 4*i, -5*i - 120 = d. Let k be d/3 + (-1)/3. Let a = -6 - k. Is a a prime number? True Let y(u) = 2*u**3 - 2*u**2 - 1. Let m be (-1)/((1/(-3))/1). Is y(m) a composite number? True Suppose -37 = -f + 5*x, -x = 5*f + 2*x - 185. Is f a composite number? False Let v(s) = 4*s + s**2 + 152 - 4*s - 156. Suppose -4*r - 18 = -2*r. Is v(r) composite? True Suppose 0 = -9*q + 4*q. Let s(t) = 5*t**3 - 2*t - 62. Let z(j) = -2*j**3 + j + 31. Let g(f) = 3*s(f) + 7*z(f). Is g(q) a prime number? True Suppose -3*a + 4*s + 5 = 2*s, -5*a + 5*s + 15 = 0. Let i = 0 - a. Suppose -13 = -4*b - i. Is b a composite number? False Let h be (-3 - -1)/(6/81). Let i = 1 - h. Suppose 5*t - i - 22 = 0. Is t composite? True Let d(q) = q**2 + q - 2. Suppose 0 = -2*w + 4*b - 3*b - 9, 5*w + 15 = -5*b. Let t = -1 - w. Is d(t) a composite number? True Let l be (-2 + 1)/(2/(-10)). Suppose -l*g = 5 - 15. Suppose 0 = 5*a + 2 - 22, -5*i = g*a - 103. Is i prime? True Suppose 6*u - 4 = 4*u. Suppose -l - 15 = -5*v, v - 5 = -u*l - 2. Is (-35)/(-3)*(v + 0) a composite number? True Let c = 1625 + 1314. Is c a prime number? True Suppose 0 = 2*o - 4*o. Suppose 0 = 3*i - 4 - 5, o = 4*j + 2*i - 138. Is j a prime number? False Let m(x) = 349*x - 7. Let f be m(10). Is f/63 + 2/(-7) prime? False Let o be -1*((-14 - -1) + -2). Let a be (-2*1)/((-10)/o). Is 203/a - (-4)/(-6) composite? False Let h = -342 + 1141. Is h a composite number? True Suppose -7510 = -8*j - 2*j. Is j composite? False Let d(s) = 5*s**2 - 25*s - 19. Is d(18) a composite number? False Let y(p) = p**3 + 2*p**2 - p. Let f be y(-2). Suppose 4*q - 2*r - 4 - 26 = 0, 5*q - 40 = 2*r. Suppose f*k - q = 12. Is k prime? True Is (-246)/(-5) + 2/(
{ "pile_set_name": "DM Mathematics" }
11 - (16 + -11) - 4) + (1 - 4) -1 What is the value of -14 - (16 + -26) - (-1 + (5 - 3))? -5 Evaluate -5 - (-9 - 2 - (-11 - (12 + -25))). 8 What is the value of 1 + 2 + -28 + 34 + 6? 15 Calculate -2 + (10 - 18) + 16. 6 What is -50 + 50 - (1 - 2 - -11)? -10 Calculate 186 + -180 + -2 + -1. 3 What is the value of 3 - -1 - (20 - (11 - 3))? -8 What is the value of -6 + -1 + 0 + (4 - (3 + -3))? -3 Calculate 14 - (-13 - (1 + -20)). 8 What is the value of 14 + (10 - 29) - -15? 10 Evaluate 2 + (-9 + (1 - -4) - -10). 8 Evaluate (2 - (-17 - 2)) + 1917 + -1909. 29 Evaluate 3 + -9 + -2 + 4 + 12. 8 What is (4 - -2) + -55 + 57 - 38? -30 What is -1 + -8 + (226 + -224 - (-1 - 6))? 0 What is 14 - (-19 + 50 - 18)? 1 Evaluate 8 + (-8 - (-7 + 0 + (-23 - -32))). -2 What is 17 + -32 - -6 - 4? -13 (0 - -20) + (28 - (-7 + 16)) 39 Evaluate 16 + 0 + 2 + 7 + 4 + -18. 11 What is the value of 63 - 48 - (-2 - (3 + -11))? 9 What is -23 + 17 + (-32 - -43)? 5 Evaluate 25 + -60 - (-5 + -16 - -8). -22 What is the value of (-6 - (5 - 13)) + -8? -6 Evaluate 2 - 11 - (-91 + 45 - -41). -4 -4 + 22 + -17 + (0 - 1) 0 (4 - 12 - (3 - 4)) + 7 0 Calculate 3 - (0 + 0 + -465 + 462). 6 What is 23 + (-7 - (-9 - -11 - -2))? 12 Calculate -1 + (13 - (3 - -9) - (15 + -5)). -10 -2 + (-12 - (-11 - -17 - 16)) -4 What is (1 - (3 + -5 - -7)) + -184 + 183? -5 What is (-3 - (4 + -4)) + 6 + 8 + -1? 10 -20 - -25 - (2 + (7 - 4 - 3)) 3 What is the value of -14 - ((-11 - -4) + -17)? 10 -11 + 13 + -7 + -24 -29 What is the value of (-8 + 10 - (-1 + 3)) + -3? -3 Evaluate (10 - (33 + -11)) + 7 + -12. -17 -1 - (36 + -12 + -22) -3 Evaluate -207 + 210 + 1 + 4 + 2. 10 Calculate 15 - (9 - (4 + 2)) - (7 + -2). 7 -1 + (1 - -1) + -249 + 243 -5 What is the value of 15 + -15 + (-1 + -6 - -6)? -1 What is the value of -6 - (-5 - -3) - (-14 - -2)? 8 (10 - 5) + 11 - -4 - (-2 + 11) 11 Evaluate 0 - (-8 - (-3 - 10)) - 5. -10 Evaluate (6 - 15) + 14 - 15. -10 What is the value of 28 + (-22 - (-30 + 14))? 22 Evaluate -14 + -24 + 41 + -3. 0 Calculate -1 - (11 + 5 + (2 - 8)). -11 What is (14 + -9 - 1 - -3) + 11? 18 Calculate -7 + (0 - 0 - (-80 - -85)). -12 Evaluate 7 + -8 - (-5 - -7). -3 Evaluate 1 + 0 + -29 - (-29 - (-103 - -67)). -35 Calculate (1 - (11 - (2 - 4))) + (-1 - 5). -18 Evaluate -19 + -15 + 11 - -11. -12 Calculate 15 + -43 + 59 + (3 - 33). 1 What is the value of (-11 - -6) + 14 + 0 + -22? -13 What is 30 + 14 + -23 - 13? 8 Evaluate 15 - (-2 + 2 - -6). 9 What is (11 - (-2 - 1)) + -40? -26 -7 + (-2 - 3 - -22) - 3 7 Evaluate 19 + -16 + (-20 - -16). -1 (-5 - -1) + (-22 + 11 - -12) - -1 -2 Evaluate 1 - 2 - (34 + -37) - (-14 - -7). 9 Calculate -6 + (9 - 13 - 6) + 2. -14 What is -7 + (37 + (-6 - 1) - 4 - 7)? 12 -14 - (2 + -17 - -4) -3 Evaluate (6 - 0 - 9 - (-2 + 1)) + 2. 0 What is -6 + 10 + (-7 - -10) + (0 - 3)? 4 5 + (-23 - (17 - 30) - 5) -10 Calculate 8 + 2 + (4 - 5) - (20 - 2). -9 17 + 2 + (-7 - (2 + -7)) 17 What is 18 + -16 + 4 + 6? 12 -12 + -3 + (-12 - -34) 7 (24 - 10) + 0 - 1 13 Calculate 10 - 3 - (77 + -67). -3 12 + (6 - 20) - (-50 + 22) 26 -3 + 5 + -6 + 2 - (-6 + 2) 2 Evaluate 4 - (10 + -5) - -1 - (-23 + 37). -14 Calculate (-2 - (-1 + -2)) + -66 + 80. 15 Calculate -10 + 30 + -20 - (-4 - 0). 4 What is the value of (0 + 2 + 7 - -18) + (3 - 8)? 22 Calculate -32 + 34 + (15 - 4) - 4. 9 Calculate (-28 + -1 - -30) + 2. 3 -9 + 6 + -12 - (-1 - -7 - 5) -16 11 + (-6 - (8 - 11)) 8 What is 19 - (5 - (1 - -4))? 19 Calculate -1584 - -1618 - (46 - 0). -12 Evaluate 6 + -27 + 4 + (9 - (12 - -2)). -22 What is -17 + 1 + 6 + 4 + 5? -1 What is (7 - 0 - -2) + -16 + -5? -12 What is 58 - (108 + -47) - (0 + -2)? -1 Evaluate (0 + (-7 - -7) - (-5 - 1)) + 6. 12 What is the value of (8 - (3 - -17)) + 24? 12 Evaluate -11 + 9 + (10 + -3 - -3). 8 Calculate 16 - (3 - (-43 - -26)). -4 What is the value of -19 + (29 - (21 - 4))? -7 What is the value of 8 - (12 + -5) - 3 - (0 + -16)? 14 Calculate (-25 - -82) + -37 + -10 + 0. 10 What is the value of -9 + 13 + -4 - (1 + 1 - 9)? 7 Calculate -10 + 18 + -13 + 16. 11 What is the value of (-1 - 0) + (-718 - -682)? -37 What is the value of -12 + -29 + 42 + (-2 + 3 - 2)? 0 What is -3 + 6 - 13 - -23? 13 -5 + 3 - (-1 - 2) 1 2 + -1 - -7 - -1 9 Evaluate -2 + 5 + 18 + -3 - (-24 - -27). 15 What is the value of 16 + -14 + -25 + -1 + 2 + 7? -15 Evaluate -6 - (22 - 28) - (-2 - 0). 2 What is 13 - (-12 + 4) - 20? 1 Calculate 5 - -23 - (-71 - -93). 6 Evaluate 11 - (0 - (-13 - -6)) - (-4 + 7). 1 What is 8 + (14 - (8 + (14 - -11)))? -11 Calculate (8 - 1) + -4 + (1 - -9) + -14. -1 Evaluate (8 - (9 + -2)) + (1 + 0 - -6). 8 What is the value of 32 + (-29 - -16) + -12? 7 What is 14 - (14 - (-3 - -11 - (1 + 4)))? 3 Evaluate (2 - -1 - 0) + -44 + 4 + 44. 7 Calculate 17 + -8 + -2 + -2. 5 0 + 14 - 13 - -4 5 Calculate -5 - (-1 + (-32 - 3 - -7) - -5). 19 53 - 75 - (-4 + -8 + 1) -11 Calculate (-63 - -24) + 36 + 1 + 0 + -3. -5 What is the value of 0 + (9 + 12 + -14 - 13)? -6 Evaluate 1 + (-8 - (6 + -4 - 9)). 0 Evaluate 76 + -60 + (-5 - -2). 13 (6 - 7) + -4 + -5 -10 What is the value of 0 - (-17 + 5 - -3)? 9 -5 - (-18 - (-6 + -3)) 4 -14 - (27 - (-17 - -50)) -8 Evaluate 39 + (23 - (5 - -26)). 31 Calculate (-3 - -2) + 0 + (405 - 384). 20 (-11 - -6 - (7 - 24)) + -9 3 What is the value of -19 + -13 + (31 - 19) + 57? 37 Calculate 6 + 6 + -3 - (250 - 240). -1 What is -8 + 15 - 6 - 10? -9 -29 + 17 + 18 - -21 27 Calculate 73 + -78 + (2 - 0) - -18 - -10. 25 17 + (-5 - (-18 - -7)) 23 -65 + (68 - -2) + (1 - -13) 19 -8 - (7 + (-5 - (-6 - -6)) + -6) -4 8 + (-33 - (0 - (-4 + 1))) -28 What is the value of -16 + (16 - 9) - (-4 + (-2 - 0))? -3 Evaluate (33 - 44) + (14 - (2 + -3)). 4 What is 2 + (19 - 12) + -3 + 5? 11 Calculate -34 + (82 - 51) + -17 + 0. -20 Evaluate 14 + (35 - 8) - 15. 26 Evaluate 6 + 0 + (20 - 21 - -4) - 0. 9 What is 12 + -23 + 4 - -5? -2 -16 + (-33 - -38 - (8 - 3)) + 0 -16 Evaluate -26 - (35 + -40) - (-13 - -2). -10 What is 20 - ((-20 - -13) + 15)? 12 Evaluate -33 - (-38 - (-8 + 7)). 4 What is the value of -13 - -11 - (17 + 2 - 1 - 6)? -14 Calculate (-21 - (8 + -22)) + -9 + 3 + 0. -13 What is -21 - (12 - 15 - -11) - (-8 + 1)? -22 4 - (-11 + (4 - -19)) -8 157 + -155 - (5 + -2 + (2 - 1)) -2 Calculate -1 - 2 - (22 + -16 - 11). 2 Evaluate -9 + 1 - (653 - 662). 1 What is the value of 5 + (12 - 8) + (0 - -2)? 11 (-12 - -12) + (4 - 4) + 4 4 Calculate -7 + 24 + -5 - 14. -2 What is -4 + -14 + (8 - (-3 + 5))? -12 Evaluate (2 - 3) + -1 + 13 + (-3282 - -3242). -29 Calculate (0 - (10 - (1 + 2))) + 4. -3 What is 14 - (21 - (-6 - -5 - 13))? -21 What is the value of 27 - 8 - (-4 - ((-5 - 0) + 3))? 21 What is the value of 1 - 13 - (-28 - 4 - 5)? 25 Evaluate -8 - (5 + -17 + 13 + -4). -5 What is the value of -26 - -18 - (-3 + -7) - (1 + 3)? -2 Evaluate 16 + -23 + 31 + 2. 26 -6 + 1 + (24 - (5 + 15)) -1 -5 + (-3 - -20) + -2 + 5 15 What is the value of (11 - 1) + -4 + (7 - (1 + 2))? 10 Evaluate -11 + (1 - (1 + 7)). -18 Calculate -8 + 4 + (-13 - 0). -17 Evaluate 1 + 5 + (-16 + -2 - (-3 - 23)). 14 Evaluate (1 - -5) + -16 + 4 - -4 - -5. 3 What is the value of 18 + (-10 - 5) + 10 + -2? 11 Evaluate 0 - (12 + -14 + -1 + 17). -14 -14 - ((-13 - 18) + 12) 5 What is (14 - 13) + -1 + 6 + -19 + 1? -12 What is the value of (18 + -8 - 6) + 8? 12 Evaluate -22 + 15 + -2 + 3 + 18. 12 What is the value of 75 - (45 + -34 - -26)? 38 What is the value of (-7 - -5) + 7 + -4 + 4 + 4? 9 (5 - 1 - ((1 - -14) + -4)) + 3 -4 What is -12 + 31 + 1 + 0 - (-28 - -32)? 16 Calculate 11 - (3 - -8) - 3. -3 (2 - 9 - (-7 - 1) - -18) + -7 12 Calculate -12 - (-11 - -11) - 8. -20 What is the value of (-5 - -3) + -7 + 1? -8 -7 + (35 - (-12 + 51)) -11 What is the value of 19 + 33 - 57 - ((-2 - -1) + 1)? -5 Calculate (4 - 7) + -7 + 4. -6 What is -16 - (-2 - (-13 + 24))? -3 Evaluate 33 + -25 + -1 + 4. 11 Calculate -20 - (17 + (-24 - 16)). 3 Calculate -1 - (8 + 2 + -8 + -8 + 20). -15 Calculate -13 - -14 - -10 - 24. -13 (-73 - -65) + 1 + 6 + -8 -9 -13 + (-1 - -3) - (-29 + 22) -4 Calculate -9 - -15 - 3 - -3 - 7. -1 Calculate 5 - (10 + (5 - 4) - 3). -3 Calculate 13 + -56 + 36 - (-3 - 15). 11 What is (8 - (24 + -10 + 8)) + 3? -11 Calculate 5 - (-3 + 4 + 11 + -1 - 0). -6 What is the value of (2 - 3) + 3 + (-3 - -27 - 14)? 12 -13 + (14 - (-7 + 7)) - 31 -30 What is 4 + 0 - (-3 + (-15 + 13 - 7))? 16 What is -8 + 1
{ "pile_set_name": "DM Mathematics" }
-122*v + 77*v + 765 for v. 17 Solve 110*y + 367 - 17 = -200 for y. -5 Solve -75 - 65 = 15*w - 20 for w. -8 Solve -75*z = -55*z - 200 for z. 10 Solve 420 = -w + 421 for w. 1 Solve 7*r = 27839 - 27804 for r. 5 Solve 0 = 18*w - 60 + 114 for w. -3 Solve 5414*f - 5322*f + 1012 = 0 for f. -11 Solve 0 = 847*u - 1172*u - 4225 for u. -13 Solve -3868*h = -3851*h + 357 for h. -21 Solve -13*g - 2394 = -2*g - 2504 for g. 10 Solve -11*w - 480 = -326 for w. -14 Solve 148 = -199*g - 349 - 100 for g. -3 Solve 32 = 16*m + 96 for m. -4 Solve 1904*f + 260 = 1914*f for f. 26 Solve -21*x + 44*x - 27 = -4 for x. 1 Solve 48270*i - 48293*i = -437 for i. 19 Solve 458*v + 1211*v + 2490 = -24214 for v. -16 Solve 525 = -34*p + 51*p + 627 for p. -6 Solve -17568*v + 24 = -17562*v for v. 4 Solve -94 - 6 = 7*h - 2 for h. -14 Solve 0 = -z - 194*z + 282 - 1257 for z. -5 Solve 108*w + 42 = 258 for w. 2 Solve 1059 = 289*i + 3082 for i. -7 Solve -157*w + 46*w + 15 = -207 for w. 2 Solve -70 = 58*n - 128 for n. 1 Solve -151 - 110 = 31*p - 13 for p. -8 Solve -4844 = 16*c - 4828 for c. -1 Solve 49110 - 53654 = -284*l for l. 16 Solve 424*u + 425 = 67*u - 646 for u. -3 Solve 18*l + 530 = 23*l - 58*l for l. -10 Solve -191 = 16*h + 49 for h. -15 Solve -34*s + 1003 = 179*s - 275 for s. 6 Solve 28*d + 228 - 137 + 245 = 0 for d. -12 Solve -4*s + 1404 = 1340 for s. 16 Solve 75*p + 725 = -487 + 237 for p. -13 Solve -60*a - a = 15*a - 1976 for a. 26 Solve -119*h - 4 = -77*h + 290 for h. -7 Solve -4497*g = -4451*g + 9 - 423 for g. 9 Solve -529*d = -1386*d - 19711 for d. -23 Solve -9*a - 1128 = -1083 for a. -5 Solve -7*u + 14*u - 2*u = -4*u for u. 0 Solve 0 = 19*t - 11*t - 16*t - 160 for t. -20 Solve -20*w + 825 = 145*w for w. 5 Solve 23*p - 84 = 79 + 113 for p. 12 Solve -18*a + 67*a = 151 + 94 for a. 5 Solve 6749*f - 7019*f + 810 = 0 for f. 3 Solve -39*d + 123*d = -38*d - 2562 for d. -21 Solve 52*c - 1767 = -2963 for c. -23 Solve -10*q - 19098 = -19008 for q. -9 Solve -24 - 214 - 149 = -43*t for t. 9 Solve 33*a - 50 = 18 + 97 for a. 5 Solve -55 + 4 - 17 = 17*t for t. -4 Solve 14*j - 54037 + 53939 = 0 for j. 7 Solve 324*f = -6822 - 2898 for f. -30 Solve -37*m - 170 + 54 - 217 = 0 for m. -9 Solve -72 + 33 = -47*a + 337 for a. 8 Solve -1927 - 565 = -34*j + 212*j for j. -14 Solve 0 = 70*r - 271 + 1041 for r. -11 Solve 119*p - 29*p + 250 = -35*p for p. -2 Solve -375*u + 366*u - 13 = 23 for u. -4 Solve -274*y + 305*y = -434 for y. -14 Solve 6*m + 11*m - 6*m = 253 for m. 23 Solve 425 = 55*x - 16*x - 160 for x. 15 Solve 77*v - 39*v + 149 - 985 = 0 for v. 22 Solve -68*j - 181 = 87*j - 26 for j. -1 Solve -19*r - 137*r = 210*r + 11712 for r. -32 Solve -39*n + 66*n = -36*n - 693 for n. -11 Solve 98*l + 141*l - 4302 = 0 for l. 18 Solve 649 - 63 = -129*f + 70 for f. -4 Solve 0 = -86*d + 863 + 255 for d. 13 Solve 172*d - 499 - 33 = 704*d for d. -1 Solve 281*f - 51*f = -690 for f. -3 Solve -14*o = -10502 + 10110 for o. 28 Solve -351 = 1840*m - 2191*m for m. 1 Solve 125 = 48*k + 413 for k. -6 Solve 28*o = -5608 + 5328 for o. -10 Solve 14543 = 45*g + 14993 for g. -10 Solve 9*m + 116 - 17 = 0 for m. -11 Solve -1133*p = -1203*p + 980 for p. 14 Solve -20*v + 19*v - 46*v + 188 = 0 for v. 4 Solve -90 + 870 = 130*y for y. 6 Solve -235 = -63*d - 1306 for d. -17 Solve 167*m - 168*m = -426*m - 1700 for m. -4 Solve -13330*q - 510 = -13300*q for q. -17 Solve -350*p + 45 = -365*p for p. -3 Solve 36*u + 515 = 14*u + 229 for u. -13 Solve 1581*p + 1216 = 1505*p for p. -16 Solve 0 = -213*o + 305*o + 276 for o. -3 Solve 17*h - 328 = 79*h + 230 for h. -9 Solve 2144*c - 2124*c + 200 = 0 for c. -10 Solve 0 = 437*l + 15449 - 1028 for l. -33 Solve -104*q - 74*q - 1305 - 119 = 0 for q. -8 Solve 39*b + 34*b - 78*b = -75 for b. 15 Solve 83*p + 398 = -909 + 62 for p. -15 Solve 5 = 24*w + 124 + 25 for w. -6 Solve -600 + 141 = -51*z for z. 9 Solve 154 - 8486 = 778*q - 552 for q. -10 Solve -14*w + 36 = -4*w - w for w. 4 Solve 18*y + 11*y - 37*y - 128 = 0 for y. -16 Solve -928 = 16*m - 976 for m. 3 Solve -27*h + 232 + 227 = 0 for h. 17 Solve 108 - 66 = 3*k for k. 14 Solve 9*k = 30*k - 308 - 28 for k. 16 Solve -13975 = 21*x - 14143 for x. 8 Solve -1070 = 138*c - 245*c for c. 10 Solve -381 = 265*l + 1474 for l. -7 Solve 0 = -53*p - 133 + 292 for p. 3 Solve 155*s + 84 = 113*s for s. -2 Solve -121*s = -903 - 549 for s. 12 Solve -1311*d + 12252 - 7009 = -14422 for d. 15 Solve 25*w + 591*w + 14168 = 0 for w. -23 Solve -13*z - 3221 + 3260 = 0 for z. 3 Solve 12*a - 140 = 220 for a. 30 Solve -8*o - 5*o = 6*o + 228 for o. -12 Solve -43*o - 715 = -108*o for o. 11 Solve 42*u + 284 + 569 - 139 = 0 for u. -17 Solve 22 = -36*j - 194 for j. -6 Solve 402*p + 993 = 3405 for p. 6 Solve -24*x + 8*x + 156 = 23*x for x. 4 Solve -93*q = -39*q - 524 - 232 for q. 14 Solve -9*i = 53 - 26 for i. -3 Solve 10*k + 84 = 26*k - 28 for k. 7 Solve 1414*z - 728*z = 707*z + 42 for z. -2 Solve 0 = 71*d + 55*d - 130 - 122 for d. 2 Solve -88*l - 2114 + 618 = 0 for l. -17 Solve -99*x - 7162 = -6667 for x. -5 Solve 340 = 146*y - 81 - 17 for y. 3 Solve 270*g - 218*g = -22 + 958 for g. 18 Solve 14 = -36*g + 50*g for g. 1 Solve 59*x - 10*x = 72 + 26 for x. 2 Solve -231*w - 2333 - 208 = 0 for w. -11 Solve 537 = -83*h + 683 - 561 for h. -5 Solve 75*d - 2402 = -2777 for d. -5 Solve -714 - 378 = -43*o - 232 for o. 20 Solve 18845*m + 280 = 18865*m for m. 14 Solve 214 - 257 = 43*y for y. -1 Solve -28*s - 53 = -139 - 54 for s. 5 Solve 2767 = -510*z - 3353 for z. -12 Solve 38*f - 9*f + 9*f + 304 = 0 for f. -8 Solve -21*p - 355 = 46*p + 4*p for p. -5 Solve 18*t - 5*t + 26*t + 936 = 0 for t. -24 Solve 223*c + 240 = -17*c for c. -1 Solve 126*f + 127*f + 18 = 262*f for f. 2 Solve -51*t + 9*t + 128 = -40 for t. 4 Solve -127*n = 111*n - 1904 for n. 8 Solve -61*z + 4 + 6 = 10 for z. 0 Solve -51 - 155 = 30*x + 64 for x. -9 Solve 110*k + 117 + 144 = -69 for k. -3 Solve -20*s + 16*s = -3*s + 9 for s. -9 Solve 0 = -t - 0*t - 2 + 6 for t. 4 Solve 30*m - 1 + 1 = 127*m for m. 0 Solve -24*y - 670*y - 10298 = -152*y for y. -19 Solve -8*r = -6*r + 6*r - 64 for r. 8 Solve -16*g - 56 - 184 = 0 for g. -15 Solve -57*r + 5*r = 47*r - 990 for r. 10 Solve 12*y - 10*y + 12 = 0 for y. -6 Solve -257*m = 1179 + 2162 for m. -13 Solve 129*j - 119*j - 10 = 0 for j. 1 Solve 2493 = -f + 2511 for f. 18 Solve 781 = -49*i - 22*i for i. -11 Solve -18*p - 2771 = -2645 for p. -7 Solve 1144*z = 797*z - 5552 for z. -16 Solve 373*k = 390*k - 170 - 272 for k. 26 Solve -1125*w - 270 = -574*w - 560*w for w. 30 Solve -49*s - 66 = 215 - 85 for s. -4 Solve 7*r + 330 - 120 - 133 = 0 for r. -11 Solve -b + 78 = -9*b - 5*b for b. -6 Solve 975 = -342*c - 945 - 816 for c. -8 Solve -10*t - 40 - 43 - 57 = 0 for t. -14 Solve -16425 = 62*d - 16611 for d. 3 Solve -25*x - 12*x + 66 = -15*x for x. 3 Solve 0 = 37*q + 31 + 81 - 1 for q. -3 Solve -86 + 300 = -51*a - 245 for a. -9 Solve -3079*r = -3080*r for r. 0 Solve 11*t - 71 - 10 = -15 for t. 6 Solve -15264 = 123*a - 13296 for a. -16 Solve 0 = -0*q + 11*q + 101 + 130 for q. -21 Solve 22*f + 279 = 543 for f. 12 Solve 0 = 274*x - 286*x - 180 for x. -15 Solve -1301 = 143*d + 2246 + 1029 for d. -32 Solve -714*p + 4076 + 12346 = 0 for p. 23 Solve 289 - 542 = 21*t - 169 for t. -4 Solve 32*d + 36 = 164 for d. 4 Solve -7*m - 45*m + 30 = -22 for m. 1 Solve -654*h - 2361 = -12171 for h. 15 Solve -1 = 5*m + 14 for m. -3 Solve -432*d = 904 + 1800 - 544 for d. -5 Solve 2216 = -307*f - 247*f for f. -4 Solve -40 = -56*w - 56*w + 117*w for w. -8 Solve 36 - 44 = -12*w - 104 for w. -8 Solve 144 - 103 = 24*d - 391 for d. 18 Solve 0 = -9*s - s + 28758 - 28628 for s. 13 Solve 592 = 183*v - 2336 for v. 16 Solve 77 = -9*a + 36 + 131 for a. 10 Solve 28 = 26*r + 314 for r. -11 Solve -50 + 54 = 13*c - 11*c for c. 2 Solve 0 = 3*b - 133*b - 769 - 11 for b. -6 Solve 414 = 355*q - 309*q for q. 9 Solve 862*r - 820*r + 340 = -878 for r. -29 Solve -948 = -28*k - 47*k + 552 for k. 20 Solve 598 = 11325*o - 11351*o for o. -23 Solve -10*o + 191*o - 280 = -2271 for o. -11 Solve 0 = 14*l + 145 - 15 - 46 for l. -6 Solve 241 = -54*p - 461 for p. -13 Solve 46950*w - 704 = 46982*w for w. -22 Solve -1162*k = 137*k - 17903 - 26263 for k. 34 Solve -112 - 115 = 23*u + 141 for u. -16 Solve 0 = 60*l + 457 + 83 for l. -9 Solve 0 = 21*f - 33*f + 1
{ "pile_set_name": "DM Mathematics" }
3*w = -40. Suppose -9*x + w*x = -314. Let y = 955/3 + x. Which is the smallest value? (a) -0.4 (b) y (c) -0.2 a Let h = 10 - 7. Let s be h*(1 - -2)/18. Let x be 3/(-10*3/6*42/(-70)). Which is the smallest value? (a) x (b) s (c) -2/21 c Let f(z) = 151*z + 1513. Let k be f(-10). What is the second biggest value in k, 0.05, 0.4, 0.1? 0.4 Let j = -11 + 15. Suppose 5*d - 14 = -3*i, -2*d - d + 18 = -3*i. Let z be (-8)/6*i*(-1)/4. What is the second biggest value in -0.2, -0.4, j, z? -0.2 Let z(q) = q**2 + 54*q - 112. Let v be z(-56). Which is the third biggest value? (a) -2/3 (b) v (c) -37 (d) 1 (e) 3/7 b Let z = -3.99451 - 0.00549. Suppose 3 = 2*d + 7. What is the smallest value in -2/9, d, z? z Let j(z) = -z**3 + 13*z**2 + 3*z + 404. Let l be j(15). What is the smallest value in 14/11, 1, l, -0.399? l Let l be 11 - ((-150)/(-15) + (-308)/(-268)). Which is the second biggest value? (a) 3 (b) -2 (c) l c Let b = 0.02 - 7.02. Let c = -12.8 - -13. What is the third biggest value in c, b, -5? b Suppose 0 = 3*c + 14 + 13. Let t be (15/c - -3)*(-9)/6. Let p = 144/247 + -14/19. What is the biggest value in p, 4, 2/9, t? 4 Let m = -3.817 + 3.997. What is the second biggest value in 13/4, m, 1/3, 1/8? 1/3 Let x = 13.1 - 13. Let q = 2.23 + 2.87. Let g = q - x. What is the fourth smallest value in 1/6, 0.4, g, -1? g Let u = -17.6 - -17.7. Suppose -3*w + 144 = -2*i + 152, 3*w + 10 = i. What is the second smallest value in w, -0.11, u, -0.4? -0.4 Suppose -65*x = -158 - 102. Let u be 57/84 + 6/(-14). What is the third biggest value in -5, u, x, 0.2? 0.2 Let o = -26 - -47. Let y(u) = 7*u - 175. Let h be y(23). Let m be 1/(-2)*(h/o - 0). Which is the fourth smallest value? (a) 5 (b) 2/7 (c) 2 (d) m a Let n be 3/2 + (-4 - 500/(-8)). Suppose 17*k - 2*k = n. Which is the biggest value? (a) k (b) -1 (c) 8 c Let d = -992.1 - -939. Let w = d + 53. Which is the biggest value? (a) 8 (b) 2 (c) w a Let p be (-19 + 44196/2352 - 1/(-4))*-3. Which is the fourth smallest value? (a) 0.1 (b) -0.3 (c) p (d) 0.5 (e) 2 d Let m = 0 + 0.4. Let d = 11788 - 11778. What is the second biggest value in m, d, 0.3? m Let d = -46.7 - -48.603. Let t = d + 0.097. Which is the third biggest value? (a) -0.4 (b) t (c) -1 c Suppose 22*y + 511 + 193 = 0. Let w = -30 - y. What is the third smallest value in -8.5, 3, w? 3 Suppose 456*z = 903*z - 425*z + 66. Let w be ((-20)/(-45))/(4/3). What is the second smallest value in z, w, 0.08? 0.08 Let q = 2065 - 2062. What is the third smallest value in 1/2, q, -2/7, 4/93? 1/2 Let r = 175 - 125.3. Let w = r + -50. Let v = w + -0.1. Which is the smallest value? (a) 0.1 (b) 1/5 (c) v c Let o = 953187/31 + -30748. What is the fourth biggest value in -3, 8, o, -2/9? -3 Let w = 0 - 0.1. Let j = -4.11 - 0.89. Let s = -221 + 221.5. What is the third biggest value in -1/2, j, s, w? -1/2 Let w = -168 - -170. Suppose -84 + 8 = -5*k + w*q, -2*q + 8 = k. Suppose -1 - 1 = -2*y. Which is the third smallest value? (a) 5 (b) k (c) y b Let o = 26586.82 - 26219. Let n = 368 - o. What is the smallest value in n, -1, -0.9, 0.3? -1 Let x = -131/6 + 68/3. What is the second smallest value in x, -2/7, 14? x Let q(t) = 4*t + 19. Let l be q(-3). Suppose -l*z + 1014 = 97. Let o = -134 + z. Which is the fourth biggest value? (a) -4 (b) -7 (c) o (d) 2 b Let n = 33 - 13. Let j = -0.4009 + -0.6991. Which is the third smallest value? (a) j (b) n (c) 0 b Let d(m) = 4*m**2 + 60*m + 5. Let j be d(-15). Let o = -2.24 - -0.24. What is the second biggest value in j, 22/3, o? j Let z = -0.21891 + 0.01891. Which is the third biggest value? (a) z (b) 0.042 (c) 1/4 (d) 2/9 b Let t = -0.1 - -0.6. Let i = -445 - -443.06. Let q = i + 2.34. Which is the biggest value? (a) -4 (b) t (c) q b Let n be 9 - -2*(-575)/130. What is the third biggest value in n, -0.061, 2.5? -0.061 Let x be (8 - 2) + 27*-3*3/27. Which is the third smallest value? (a) 2 (b) 1/33 (c) x a Let j = -1.2 - 84.8. Let i = 91 + j. What is the third smallest value in -1/4, -1/5, i? i Let x = 3 + -1. Suppose -x*u = r + 5, 5 = -2*r - 5*u - 7. What is the second biggest value in 1/5, 8, r? 1/5 Let f be 2/(4 + -60)*24/3. What is the third biggest value in f, -92, -1? -92 Let d = -645 + 640.004. Let g = -0.004 + d. Let k = -0.27 + -0.13. What is the second biggest value in 2/11, g, k, -1? k Let x = -0.9368 + 0.4368. Let j = 7 + -6.99. Let f = 0.99 + j. Which is the biggest value? (a) x (b) 5 (c) f (d) -5 b Let a = -0.5 + 4.5. Let t = -0.64973 - -0.14973. What is the biggest value in 0.061, a, t? a Let p = -17 - -17.031. Let l = -1005.8 + 1006. Which is the second biggest value? (a) -2/3 (b) l (c) p c Let m be ((-6)/4)/(2*3). Let r = 101 - 98. Which is the third smallest value? (a) 6 (b) 1/6 (c) m (d) r d Let t = 2202/5 - 440. Which is the fourth smallest value? (a) -1 (b) 1/3 (c) t (d) 67 d Let l = 1/86 - -167/430. Let m = 1 + 1/3. Which is the third smallest value? (a) m (b) l (c) -14 a Let s = -1791.31 - -1820. Let q = 28.6 - s. Which is the smallest value? (a) 0.2 (b) q (c) -0.3 (d) 3/2 c Let p = -1355 + 1358. What is the second smallest value in -3, -22, -2, 31, p? -3 Let n be (-14 - -24)/(((-2)/(-10))/1). Let j be 4/n*4/4*10. What is the second biggest value in -1, -6, j, -0.03? -0.03 Let f = -45911 + 45907. Let j = -2 + 1.5. What is the second biggest value in j, f, 2, 6? 2 Let g be ((-157)/471)/(2/(-6)*8). Let r = -0.05 + 0.11. What is the second smallest value in g, -4, r, 5? r Let g = 109 - 109. Let s = -0.253 - -34.253. What is the biggest value in 0.2, g, s? s Let z = -1006 - -5027/5. What is the second smallest value in 6, 1, -0.3, z, -3/4? z Let w = 2.6 - 3. Let a = 561097.9 + -561098. What is the second smallest value in a, -7, w? w Suppose -71*r - 140 = -50*r - 41*r. What is the fourth biggest value in 2/5, 5, r, 0, -1/5? 0 Let o be (-1)/(-1)*(-2 - 9 - 3 - -13). Which is the third smallest value? (a) -1/162 (b) -0.5 (c) o (d) 2/5 (e) 2/3 a Suppose 0 = 4*r + 12, -75*r = -5*a - 76*r - 3. What is the smallest value in -0.2, a, 3, -0.6, -1? -1 Let j = 1458.6 - 1457. Let t be -1*(0 + 30/3). Let v = -6 - t. What is the fourth biggest value in v, j, 2, 2/7? 2/7 Let o = -0.15006 + 0.25006. What is the smallest value in 1/228, 0, o, -9? -9 Let g be -10*(4/(-8) - 0). Let a = 7529 + -30113/4. What is the biggest value in g, -4, a? g Let d = 992 + -991.94. Which is the biggest value? (a) d (b) 381 (c) 2/23 b Suppose 31*a - 28*a - 3*m - 3 = 0, 17 = -a - 5*m. What is the biggest value in -2/61, a, 0, 1, 0.2? 1 Let l be (36/(-40) - ((-32)/(-20) + -1))*8. What is the fourth smallest value in -5, 15, l, 0, 1? 1 Let a = -2.372 + 2.572. Let q = -2 + 4. What is the smallest value in 2/29, q, -3, a? -3 Let r = -8481/2 - -4240. Which is the fourth smallest value? (a) -0.1 (b) 1/131 (c) -2 (d) r (e) 5 b Let i(h) = -h**3 + 5*h**2 - 2*h + 18. Let f be i(4). Suppose 18*c = f*c - 8. Let s = 1.9 + -2.3. What is the third smallest value in s, c, -0.2, -1/2? -0.2 Suppose -16 = -2*y + 2*c, 5*c = y - 2 + 10. Let m be (-76 - -66) + y/2. What is the third smallest value in 3/7, 4/7, -60, m? 3/7 Let p = 186 - 178.1. Let d = 6.9 - p. What is the second biggest value in 2, 1/8, d, -10? 1/8 Let d = -201 - -2213/11. Let f be ((-446)/70)/(84/35). Let r = -25/12 - f. Which is the second smallest value? (a) r (b) -30 (c) d c Let g = 3/2026 + -9307/812426. Let u = g + 409/802. Which is the third biggest value? (a) u (b) 84/5 (c) 4 a Let k = 182.6 - 162. Let l = 16.6 - k. Which is the smallest value? (a) -19/3 (b) 0.09 (c) l a Suppose -89*q - 279 = 257 - 180. What is the third biggest value in q, 2, 1, -14/9? -14/9 Let l = -0.0298 + 351.0298. Let n = l + -426. Which is the third smallest value? (a) n (b) 0.3 (c) 0 b Let f = 204.2 - 196.2. Let i = 150/427 - 4/61. Let o = -5 + 5.2. Which is the fourth biggest value? (a) i (b) f (c) o (d) 5 c Let h = -20.93 - -21.23. Which is the fifth smallest value? (a) 3/2 (b) h (c) 2 (d) 1 (e) -0.1 c Let b be 696/(-928) + (-33)/(-28). What is the third smallest value in -0.4, -97, -0.02, b? -0.02 Let l(m) = 203*m - 12175. Let u be l(60). What is the fourth smallest value in 1, -14, u, 6, -4? u Let n = -95 - -96. Let j be n/4
{ "pile_set_name": "DM Mathematics" }
divided by 164863. 2/164863 What is 9493 divided by 1? 9493 Calculate -874 divided by 477. -874/477 Divide -918 by -22. 459/11 What is 22 divided by 260559? 22/260559 -15104 divided by -3776 4 What is 1342 divided by 5557? 1342/5557 What is -15 divided by 2929? -15/2929 What is -99 divided by 43? -99/43 -186549 divided by 2 -186549/2 What is -75516 divided by -18879? 4 Divide -10990610 by 2. -5495305 4086264 divided by -8 -510783 Calculate 139282 divided by -10714. -13 -298248 divided by 4 -74562 Divide 195675 by 2609. 75 -85 divided by -634 85/634 Divide -1282017 by 8063. -159 What is 122 divided by -74? -61/37 Divide -5622551 by -130757. 43 What is 8980 divided by 2? 4490 Calculate 46165 divided by -1319. -35 Calculate -1041 divided by 1041. -1 Calculate 1327976 divided by -11752. -113 Calculate 13347 divided by -4449. -3 -279156 divided by -139578 2 -5 divided by 74014 -5/74014 -1182976 divided by 9242 -128 -2096 divided by -9 2096/9 What is 104 divided by -22546? -52/11273 Divide 6 by 1748. 3/874 Divide 474911 by -3. -474911/3 Calculate -28992 divided by -1. 28992 Calculate -85 divided by -1597. 85/1597 162285 divided by 1047 155 -26 divided by -3485 26/3485 Calculate -5 divided by -19380. 1/3876 Calculate -26832 divided by 12. -2236 What is 550010 divided by -1? -550010 Calculate 668196 divided by -55683. -12 Calculate 481689 divided by 23. 20943 Calculate -25716 divided by 12858. -2 What is -204457 divided by 4? -204457/4 3296394 divided by -2202 -1497 Calculate -5 divided by -3877. 5/3877 Divide 24447 by -10. -24447/10 Divide 21537 by 9. 2393 Calculate 4326860 divided by 865372. 5 What is 66286 divided by -6? -33143/3 What is -260772 divided by 6? -43462 What is 3277 divided by -5? -3277/5 44392 divided by -5549 -8 -5991 divided by -1 5991 Divide 10 by 2870. 1/287 What is -15690 divided by -30? 523 Calculate 108 divided by 1359. 12/151 Calculate -16774 divided by -8387. 2 2268 divided by -269 -2268/269 Calculate 2192 divided by 2192. 1 -66003 divided by 9429 -7 Calculate 6659737 divided by -135913. -49 3899 divided by -3899 -1 Divide 787 by -305. -787/305 Calculate -213340 divided by 106670. -2 -287613 divided by 31957 -9 What is -356352 divided by 512? -696 3457 divided by -139 -3457/139 1089 divided by 111 363/37 Divide -548751 by -5. 548751/5 13561 divided by -1 -13561 83 divided by -2711 -83/2711 What is 741152 divided by 1? 741152 203 divided by 3142 203/3142 Divide 63 by 20354. 63/20354 -60 divided by 4461 -20/1487 Divide 576132 by -192044. -3 Calculate -143000 divided by 17875. -8 Divide -33888 by 2824. -12 What is -4 divided by -143367? 4/143367 -735 divided by -245 3 Calculate 16908 divided by -8. -4227/2 Divide 2 by -7783. -2/7783 Divide -780100 by 5. -156020 What is -192610 divided by -55? 3502 What is -1855506 divided by 6? -309251 Divide 730 by 5. 146 What is -9347 divided by 1? -9347 Calculate -2310412 divided by -44431. 52 What is 310983 divided by 4? 310983/4 Divide -121672 by 2. -60836 Divide 243068 by -60767. -4 What is -9 divided by 16694? -9/16694 What is -1780038 divided by 7607? -234 Calculate -1458 divided by 243. -6 1 divided by 39938 1/39938 -1570 divided by -1570 1 What is 148630 divided by -5? -29726 What is -246 divided by -463? 246/463 Calculate 213098 divided by 2. 106549 921832 divided by 230458 4 Calculate -9098235 divided by -1819647. 5 Calculate -128 divided by 12562. -64/6281 -137 divided by 253 -137/253 -17553 divided by -2 17553/2 What is 611682 divided by 101947? 6 Calculate -80 divided by 961. -80/961 What is 4 divided by -5591? -4/5591 Calculate 246544 divided by 61636. 4 Divide 30282 by -6. -5047 Divide 3600 by 13. 3600/13 What is 715220 divided by -4? -178805 What is 962 divided by 51? 962/51 Calculate -3962751 divided by -417. 9503 13291 divided by 13291 1 Calculate -165160 divided by -2. 82580 Calculate -173562 divided by -5. 173562/5 Divide -2514265 by -10699. 235 Divide -163508 by -3. 163508/3 Calculate 20 divided by 6256. 5/1564 Calculate 34450 divided by -130. -265 What is 46580 divided by -170? -274 What is -25024 divided by 6256? -4 What is 2100622 divided by 31? 67762 What is 0 divided by 18845? 0 2 divided by 8748 1/4374 711 divided by -79 -9 What is 101600 divided by -6? -50800/3 Calculate -535 divided by 2476. -535/2476 Calculate 6 divided by -682. -3/341 Calculate -19 divided by -82908. 19/82908 What is -115848 divided by -1? 115848 Calculate 111515 divided by 18. 111515/18 Divide -7515 by 5. -1503 Calculate 466 divided by -3541. -466/3541 Divide -41060 by 3. -41060/3 Calculate 586305 divided by 117261. 5 -2837536 divided by 4 -709384 Divide -13751795 by -5. 2750359 Divide 2811 by 2811. 1 What is -4 divided by 837? -4/837 Divide -4915780 by 5. -983156 Divide -96658 by -62. 1559 -17402 divided by -8 8701/4 Divide -110934 by -55467. 2 371 divided by -527 -371/527 360115 divided by 35 10289 Divide -2353902 by -447. 5266 Divide 241388 by -233. -1036 3 divided by -4278 -1/1426 -219 divided by -35 219/35 What is 9 divided by -503? -9/503 Calculate 71060 divided by -10. -7106 Calculate 1260904 divided by 5. 1260904/5 What is 16 divided by -105826? -8/52913 -622204 divided by -5 622204/5 Calculate -1297812 divided by -1369. 948 Divide -1216892 by 4. -304223 -855965 divided by -5 171193 What is -6070 divided by 4? -3035/2 -202255 divided by -40451 5 Calculate -17112 divided by 16. -2139/2 What is -53661 divided by 3? -17887 What is -2681994 divided by -191571? 14 Divide 342745 by -26365. -13 What is -276612 divided by -148? 1869 What is -261477 divided by 3? -87159 Calculate 1312170 divided by 262434. 5 What is 1037 divided by 232? 1037/232 Calculate 158646 divided by 6. 26441 0 divided by -151215 0 Divide 5046 by 5. 5046/5 Divide -2 by 20873. -2/20873 Calculate 1243727 divided by 1. 1243727 What is -292400 divided by -3400? 86 Calculate 8440 divided by 8. 1055 -384 divided by -1932 32/161 Calculate 185139 divided by -1. -185139 Divide -340 by -1606. 170/803 Calculate -396872 divided by 4. -99218 Calculate -89574 divided by -29858. 3 Calculate 482 divided by 14. 241/7 What is 392 divided by 709? 392/709 Divide -7808 by 3. -7808/3 Divide -3719 by 40. -3719/40 What is 124908 divided by -8922? -14 Divide -71 by 314. -71/314 Divide 89782 by -4. -44891/2 Divide 3188 by 3. 3188/3 Calculate -21506 divided by 2. -10753 1 divided by -1316 -1/1316 631944 divided by -2 -315972 1220 divided by -98 -610/49 Calculate -2 divided by 2618. -1/1309 6119 divided by -29 -211 1 divided by -19714 -1/19714 Divide 1 by 7978. 1/7978 What is 3439 divided by -1? -3439 Calculate -415400 divided by 2680. -155 Divide 1140 by -2. -570 Calculate -272516 divided by 193. -1412 Calculate 38 divided by 802. 19/401 1344 divided by 455 192/65 What is -181390 divided by 5? -36278 What is -2805 divided by 935? -3 What is -269661 divided by 89887? -3 -2517683 divided by -359669 7 -957 divided by -957 1 What is 187108 divided by 29? 6452 -427550 divided by -85510 5 27 divided by 1888 27/1888 What is -794 divided by 176? -397/88 What is 2816672 divided by 4? 704168 Calculate 14456 divided by 26. 556 1786 divided by -47 -38 Divide -45 by -934. 45/934 What is 92588 divided by -46294? -2 What is 441624 divided by 36802? 12 Divide -465750 by 207. -2250 -889720 divided by 177944 -5 Calculate -107428 divided by 4. -26857 What is 6758 divided by -62? -109 What is -1816 divided by 52? -454/13 What is 20516 divided by 23? 892 Divide 86239 by 86239. 1 Calculate 1665428 divided by 4. 416357 What is -641785 divided by 235? -2731 Calculate -3759710 divided by 2. -1879855 Divide -161 by -1. 161 Divide 199103 by -2. -199103/2 What is 310620 divided by -60? -5177 -30740 divided by 1537 -20 What is 63021 divided by 3001? 21 What is 169 divided by -3045? -169/3045 0 divided by 93166 0 What is 109525 divided by 3? 109525/3 What is 15873 divided by 28? 15873/28 Calculate 2665680 divided by 266568. 10 -21 divided by -59475 7/19825 What is 75 divided by -226? -75/226 What is 24123 divided by 1? 24123 What is 399993 divided by -1581? -253 Calculate -182516 divided by -4. 45629 Divide 4878 by 16. 2439/8 Divide -1434312 by -6. 239052 Divide 216276 by -1614. -134 Calculate -6 divided by 21051. -2/7017 Divide 735 by -84. -35/4 Calculate 4 divided by 2935
{ "pile_set_name": "DM Mathematics" }
ve prob of picking 1 v, 1 b, and 1 m. 1/5 Calculate prob of picking 1 c and 3 m when four letters picked without replacement from mcmcccrccccmcccccrmm. 26/969 Calculate prob of picking 1 v and 3 q when four letters picked without replacement from mqqvq. 1/5 Four letters picked without replacement from {t: 6, g: 12, s: 1}. What is prob of picking 4 t? 5/1292 Three letters picked without replacement from ohshssusszhusu. What is prob of picking 1 o, 1 h, and 1 u? 9/364 What is prob of picking 2 v and 1 l when three letters picked without replacement from {l: 8, v: 2}? 1/15 Three letters picked without replacement from iiitkiitjiitijiit. Give prob of picking 1 k, 1 j, and 1 t. 1/85 Four letters picked without replacement from {j: 10, i: 3, q: 2, b: 3, y: 1}. What is prob of picking 1 i, 2 j, and 1 q? 45/646 Two letters picked without replacement from {t: 2, n: 1}. What is prob of picking 1 t and 1 n? 2/3 Three letters picked without replacement from {b: 8, p: 10, r: 1}. Give prob of picking 1 p, 1 b, and 1 r. 80/969 What is prob of picking 2 l when two letters picked without replacement from lllallllllall? 55/78 Four letters picked without replacement from {k: 2, z: 5, o: 3, i: 9}. What is prob of picking 2 o and 2 i? 9/323 What is prob of picking 1 f and 3 q when four letters picked without replacement from xifxfqgqqxf? 1/110 Three letters picked without replacement from {z: 1, b: 2, u: 1, g: 2, t: 1, n: 1}. Give prob of picking 1 n, 1 g, and 1 z. 1/28 Three letters picked without replacement from {d: 4, l: 8, a: 2, v: 4, y: 2}. Give prob of picking 2 d and 1 l. 4/95 Calculate prob of picking 2 p and 1 h when three letters picked without replacement from {f: 6, b: 2, h: 3, p: 2, k: 2}. 3/455 Two letters picked without replacement from {i: 5, j: 3, t: 3}. What is prob of picking 2 i? 2/11 Three letters picked without replacement from yccycccc. Give prob of picking 3 c. 5/14 Two letters picked without replacement from axliaalblll. What is prob of picking 1 l and 1 i? 1/11 Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {y: 2, d: 1, q: 1, b: 4}. 1/14 Three letters picked without replacement from {a: 1, w: 7}. What is prob of picking 3 w? 5/8 Two letters picked without replacement from {z: 1, b: 1, u: 1, d: 1, s: 1, p: 2}. What is prob of picking 1 u and 1 z? 1/21 Calculate prob of picking 1 w, 1 f, and 1 a when three letters picked without replacement from {x: 2, v: 1, w: 4, a: 6, f: 2}. 48/455 Four letters picked without replacement from {o: 11, x: 3, k: 4}. What is prob of picking 3 o and 1 k? 11/51 Two letters picked without replacement from nnnnnnnnnnnnynnnnyny. What is prob of picking 2 y? 3/190 Calculate prob of picking 1 b and 1 z when two letters picked without replacement from bobnznnnbnopzznbn. 3/34 Calculate prob of picking 2 j and 2 q when four letters picked without replacement from {j: 10, n: 2, q: 4}. 27/182 What is prob of picking 1 i, 1 d, and 2 z when four letters picked without replacement from gzdzidzigggggdigzmdi? 32/1615 Two letters picked without replacement from yyyyuuuyyu. What is prob of picking 1 u and 1 y? 8/15 Calculate prob of picking 4 o when four letters picked without replacement from ooyofyoyffyfoyy. 1/273 Four letters picked without replacement from uuuouioiilhuhuooulu. Give prob of picking 1 o and 3 i. 1/969 Three letters picked without replacement from atttttattttttaaa. What is prob of picking 3 t? 33/112 Four letters picked without replacement from viififiifvfii. What is prob of picking 1 v and 3 f? 8/715 Four letters picked without replacement from oomwwwomw. What is prob of picking 3 w and 1 o? 2/21 Calculate prob of picking 2 s when two letters picked without replacement from ysksoy. 1/15 Two letters picked without replacement from {m: 11, j: 2, s: 2}. What is prob of picking 1 m and 1 j? 22/105 What is prob of picking 1 k and 2 o when three letters picked without replacement from ooooookmookokookkooo? 91/228 Calculate prob of picking 3 k when three letters picked without replacement from knknkkhtkn. 1/12 What is prob of picking 2 o and 2 x when four letters picked without replacement from ovnnnxmznoxzzvxo? 9/1820 Four letters picked without replacement from kefoefkefefofokfo. What is prob of picking 1 e and 3 f? 4/119 Two letters picked without replacement from {o: 1, y: 2}. Give prob of picking 2 y. 1/3 What is prob of picking 1 m and 1 a when two letters picked without replacement from bbwwwmwwwawaw? 1/39 Calculate prob of picking 2 u and 1 h when three letters picked without replacement from {u: 4, h: 6}. 3/10 Four letters picked without replacement from {u: 1, g: 1, f: 2, a: 1, x: 4}. Give prob of picking 2 x, 1 a, and 1 g. 1/21 What is prob of picking 2 k when two letters picked without replacement from xxkyhkfh? 1/28 What is prob of picking 1 y and 1 s when two letters picked without replacement from {y: 4, s: 6}? 8/15 Three letters picked without replacement from {z: 3, i: 1, f: 1, d: 1, j: 1}. Give prob of picking 1 d, 1 f, and 1 i. 1/35 Four letters picked without replacement from {z: 2, i: 6, s: 4, a: 2, e: 1, r: 3}. Give prob of picking 1 s and 3 r. 1/765 Two letters picked without replacement from {y: 18, g: 2}. What is prob of picking 1 g and 1 y? 18/95 Two letters picked without replacement from {y: 1, a: 1, q: 2}. Give prob of picking 1 a and 1 y. 1/6 Three letters picked without replacement from bblddjejaaejblb. What is prob of picking 1 b, 1 l, and 1 e? 16/455 What is prob of picking 1 h and 3 g when four letters picked without replacement from {g: 5, h: 8, l: 3}? 4/91 Calculate prob of picking 2 j when two letters picked without replacement from {n: 1, k: 10, j: 7}. 7/51 Three letters picked without replacement from eeeteeee. Give prob of picking 3 e. 5/8 Three letters picked without replacement from wtutuawttwuwawtutw. Give prob of picking 1 a and 2 w. 5/136 Calculate prob of picking 1 x and 1 n when two letters picked without replacement from fzfxnnzzzxf. 4/55 Three letters picked without replacement from {a: 4, g: 8, h: 1}. Give prob of picking 1 h and 2 g. 14/143 Two letters picked without replacement from {w: 5, k: 14}. Give prob of picking 1 k and 1 w. 70/171 Three letters picked without replacement from yauiiyyyxaiyxiaxyyy. Give prob of picking 1 x, 1 y, and 1 u. 8/323 What is prob of picking 3 m and 1 o when four letters picked without replacement from {o: 10, m: 10}? 80/323 Two letters picked without replacement from {k: 1, u: 2, f: 1, e: 2}. What is prob of picking 2 e? 1/15 Four letters picked without replacement from {w: 14, m: 4}. What is prob of picking 2 w and 2 m? 91/510 Four letters picked without replacement from llllll. What is prob of picking 4 l? 1 Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {r: 1, l: 3}. 1/2 Two letters picked without replacement from rrrtrvjovtvobrr. What is prob of picking 1 b and 1 v? 1/35 Two letters picked without replacement from {b: 2, q: 1, u: 1, e: 2, i: 2}. What is prob of picking 2 i? 1/28 What is prob of picking 1 u and 1 t when two letters picked without replacement from tkctutukkwkukkkct? 3/34 Calculate prob of picking 1 z and 1 l when two letters picked without replacement from ujlullllzzljlzzzlllu. 5/19 Four letters picked without replacement from {y: 4, a: 6, u: 1}. What is prob of picking 3 y and 1 a? 4/55 Calculate prob of picking 3 u when three letters picked without replacement from {u: 11, f: 1}. 3/4 Two letters picked without replacement from {j: 4, r: 5, o: 2}. Give prob of picking 1 j and 1 r. 4/11 Four letters picked without replacement from {m: 1, s: 1, o: 6, n: 11}. What is prob of picking 1 o and 3 n? 165/646 Two letters picked without replacement from {c: 2, z: 1, v: 7, j: 2, n: 4}. What is prob of picking 1 j and 1 c? 1/30 What is prob of picking 1 f, 1 t, and 1 x when three letters picked without replacement from bfjxttf? 4/35 Calculate prob of picking 1 y and 2 h when three letters picked without replacement from ykkghhghkh. 1/20 Four letters picked without replacement from {l: 4, p: 3, m: 6, o: 1}. What is prob of picking 1 o and 3 m? 20/1001 Calculate prob of picking 2 t when two letters picked without replacement from tcttwtwwtlwlc
{ "pile_set_name": "DM Mathematics" }
10*sqrt(2) + 201 Simplify (-1*sqrt(136)*-4)/sqrt(8). 4*sqrt(17) Simplify sqrt(272) + -3 + (sqrt(34)/sqrt(8))**2 - (-1*sqrt(425) + sqrt(425) - (sqrt(102) - (-1*sqrt(102) + sqrt(102)))/sqrt(6)). 5/4 + 5*sqrt(17) Simplify (sqrt(931) + -1*sqrt(931) - sqrt(931))**2 + -5. 926 Simplify (sqrt(75) - 2*(-1 + sqrt(75))) + sqrt(75) + 0 + -5. -3 Simplify -2*((sqrt(108)/sqrt(3) + sqrt(36))/sqrt(12) - (sqrt(33)/sqrt(44) + sqrt(3))). -sqrt(3) Simplify 6*(1*sqrt(605) - sqrt(5)). 60*sqrt(5) Simplify (sqrt(432)*1)**2*-2 + -1. -865 Simplify (0 + sqrt(125) + sqrt(125))*4 + -5. -5 + 40*sqrt(5) Simplify sqrt(228)/(sqrt(12)*1) + -4. -4 + sqrt(19) Simplify ((sqrt(130) + sqrt(130) + sqrt(130)*4*-5)/sqrt(10))**2. 4212 Simplify -1 + (sqrt(7) - (sqrt(7) + (sqrt(63) - (sqrt(1008) + sqrt(63))))) + sqrt(7). -1 + 13*sqrt(7) Simplify (-1*sqrt(3146))/sqrt(2)*3. -33*sqrt(13) Simplify (sqrt(5) - ((sqrt(405) + (-3*sqrt(405) - sqrt(405)))**2 - sqrt(5))) + -2*(sqrt(5) + 1). -3647 Simplify (-5 + sqrt(833)*1 + sqrt(833) + -5*(sqrt(833) + sqrt(833) + (sqrt(833) - (sqrt(833) - (sqrt(833) - (sqrt(833) + 1))))) + sqrt(833) + sqrt(833))**2. 29988 Simplify (4*sqrt(304))**2 - (sqrt(2299) + (sqrt(2299) + 0 - sqrt(2299)) + sqrt(2299))**2 - ((sqrt(95)/(sqrt(15)/sqrt(3)) - sqrt(19)) + -3). -4329 Simplify -3 + sqrt(325)*-3. -15*sqrt(13) - 3 Simplify sqrt(17)*3 + -1 - (sqrt(17) + 2 + -5). 2 + 2*sqrt(17) Simplify (sqrt(425) + 1)**2*-5. -2130 - 50*sqrt(17) Simplify sqrt(468)*-4 + 1. -24*sqrt(13) + 1 Simplify sqrt(72) + 5*(-1 + sqrt(72)) + 6*(sqrt(6)/sqrt(3) + -5). -35 + 42*sqrt(2) Simplify (5*(sqrt(102) - (sqrt(102) - (sqrt(102) + sqrt(102) + -2*sqrt(102)))) + sqrt(102))/sqrt(6). sqrt(17) Simplify sqrt(153) + -5 + sqrt(17) - (-1 + sqrt(2448)). -8*sqrt(17) - 4 Simplify 5*-1*(-3 + (sqrt(5) + sqrt(5)*-1)**2). 15 Simplify ((sqrt(60)/sqrt(2) + sqrt(30))*2)/((sqrt(486)*-4 - sqrt(486)) + sqrt(6)). -sqrt(5)/11 Simplify sqrt(171) - (-5*sqrt(171)*-2)**2. -17100 + 3*sqrt(19) Simplify ((sqrt(99)*3)/sqrt(9))**2 + sqrt(77)/(sqrt(7) + sqrt(35)/sqrt(5)). sqrt(11)/2 + 99 Simplify ((2*sqrt(104) - sqrt(104))/sqrt(8) + 2)**2. 4*sqrt(13) + 17 Simplify -4 + -4*(sqrt(17) + (-2*sqrt(17))**2). -276 - 4*sqrt(17) Simplify 5*sqrt(12)/sqrt(4) - ((sqrt(12)*-5)/sqrt(4) - sqrt(3))**2. -108 + 5*sqrt(3) Simplify sqrt(2299)*1 - (3*sqrt(190)/sqrt(10))**2. -171 + 11*sqrt(19) Simplify (sqrt(11) + sqrt(44))*6 + sqrt(11) + 4*1*sqrt(11) - ((sqrt(88) - (sqrt(88) + (sqrt(88) - sqrt(88)*-2) + sqrt(88) + sqrt(88)))*-6)/sqrt(8). -7*sqrt(11) Simplify (sqrt(17) - ((sqrt(68) - sqrt(17))**2 + -3)) + 1. -13 + sqrt(17) Simplify -1 + (sqrt(80)*-2)**2 + sqrt(80) + sqrt(80)*-1 + -3. 316 Simplify (2*sqrt(66)*-6 - sqrt(66))/sqrt(6)*2. -26*sqrt(11) Simplify 3*(-3*(sqrt(17)*-2)**2 + -2). -618 Simplify sqrt(19) + -1*sqrt(171) + (sqrt(19) - (sqrt(152)*-1)/sqrt(8)). 0 Simplify -3 + (-1*sqrt(704))**2*-6. -4227 Simplify sqrt(18)/(sqrt(42)/(sqrt(7)*1)). sqrt(3) Simplify -3 + ((sqrt(80) - sqrt(80)*-1)**2 - sqrt(80))*-2. -643 + 8*sqrt(5) Simplify ((4*sqrt(90)/sqrt(3) + sqrt(30))/((sqrt(10) - (-1*sqrt(10) - sqrt(10))*1) + sqrt(10)))**2. 75/16 Simplify sqrt(11) - (sqrt(11) - (-1 + sqrt(1584)))**2 - (1 + sqrt(44)/sqrt(4) + sqrt(11))**2. -1377 + 19*sqrt(11) Simplify (6*(1 + sqrt(7)) - (-3 + -2*sqrt(7))) + -5. 4 + 8*sqrt(7) Simplify -2 + sqrt(99) + -5*sqrt(11)*-2 + sqrt(11). -2 + 14*sqrt(11) Simplify (1*(0 + sqrt(57)/sqrt(3) + sqrt(19)))**2. 76 Simplify (sqrt(135)/sqrt(3)*-5 - sqrt(45))/(sqrt(9) + sqrt(900)*2). -2*sqrt(5)/7 Simplify sqrt(156)/(3*sqrt(12)*2) - (-6*sqrt(26)/sqrt(2) - sqrt(104)/(-2*sqrt(8)))**2. -1573/4 + sqrt(13)/6 Simplify (sqrt(171)*-1*2 - sqrt(171))/sqrt(9). -3*sqrt(19) Simplify (-1 + sqrt(1872))**2 + -2 - sqrt(1872). -36*sqrt(13) + 1871 Simplify -5*sqrt(1300)*2*-2. 200*sqrt(13) Simplify 0 + ((2*(-1 + sqrt(98) + sqrt(98)) + sqrt(98))**2 - sqrt(98)). -147*sqrt(2) + 2454 Simplify -2*sqrt(117) + ((sqrt(91) + (sqrt(91) + -1*sqrt(91) - sqrt(91)) - sqrt(91))/sqrt(7))**2. -6*sqrt(13) + 13 Simplify ((sqrt(1512) - (sqrt(1512)*2 + sqrt(1512) - sqrt(1512)))/(sqrt(60)/(2*sqrt(10))))**2. 1008 Simplify sqrt(832) - ((sqrt(832) + 1)*-2)**2 - (3 + sqrt(832) + 0). -3335 - 64*sqrt(13) Simplify sqrt(51)/(4*sqrt(3)) - (sqrt(17) + (-3*sqrt(68))**2). -612 - 3*sqrt(17)/4 Simplify (-1*sqrt(72) + sqrt(18))*4. -12*sqrt(2) Simplify (sqrt(105)/(sqrt(3) - -2*sqrt(3)))/(sqrt(45)*6). sqrt(7)/54 Simplify (1 + sqrt(363) + -3)**2 - ((sqrt(363) - (sqrt(363) - (sqrt(363) + -1 - sqrt(363))))**2 + sqrt(363))*5. -99*sqrt(3) + 362 Simplify ((sqrt(17) + 0 + 3 - sqrt(17)) + 1)**2. 16 Simplify (1*sqrt(204)*2)/sqrt(12). 2*sqrt(17) Simplify sqrt(11) + sqrt(55)/(sqrt(5)*-2 + sqrt(5)) + (-1 + sqrt(22)/sqrt(2))**2. -2*sqrt(11) + 12 Simplify -5 + -2 + (sqrt(128) + 0 - (-1 + sqrt(162))). -6 - sqrt(2) Simplify (sqrt(85)*3)/sqrt(5) - (2 + sqrt(17) + (sqrt(17) + 2*sqrt(17))**2). -155 + 2*sqrt(17) Simplify (1*(sqrt(153) - sqrt(153)*-1))/sqrt(9) + (sqrt(17) - sqrt(136)/sqrt(72))*-6. -2*sqrt(17) Simplify (-4*sqrt(225))/sqrt(3). -20*sqrt(3) Simplify (sqrt(1100) + 0 + -2)**2. -40*sqrt(11) + 1104 Simplify (sqrt(432)*2 + sqrt(432))/sqrt(9). 12*sqrt(3) Simplify 5*(sqrt(7) - ((sqrt(70)/sqrt(10) + -1 + sqrt(7) - sqrt(7))**2 + sqrt(7))). -40 + 10*sqrt(7) Simplify 0 + sqrt(612) - (-3 + sqrt(17)*-2). 3 + 8*sqrt(17) Simplify sqrt(12)/sqrt(150) - (2 + sqrt(162)). -44*sqrt(2)/5 - 2 Simplify (((sqrt(272) - (sqrt(272) - 1*sqrt(272))) + sqrt(272))*-2 + -3*(sqrt(272)*-1 - sqrt(272)))**2. 1088 Simplify (-3 + -2 + sqrt(1584) + sqrt(1584))**2*4. -960*sqrt(11) + 25444 Simplify (1*(sqrt(121) - (sqrt(121)*-2 - sqrt(121) - sqrt(121))) + sqrt(121))/(sqrt(176)*1). 3*sqrt(11)/2 Simplify sqrt(140)/sqrt(7) - -5*sqrt(125). 27*sqrt(5) Simplify 6*(4 + (sqrt(18) - sqrt(2))). 12*sqrt(2) + 24 Simplify -1 + sqrt(45)/(sqrt(63)/(sqrt(14)/sqrt(2))). -1 + sqrt(5) Simplify (sqrt(1872) - -6*sqrt(1872)*1)**2 - (sqrt(1872) + sqrt(1872)*-3 + -3 + sqrt(1872)). 12*sqrt(13) + 91731 Simplify -4*(sqrt(171) + sqrt(171) + (sqrt(171) - (3 + sqrt(171)*-2)))**2 + -3. -17139 + 360*sqrt(19) Simplify (-3*sqrt(102))/sqrt(6) - (-1*sqrt(17)*-3)**2. -153 - 3*sqrt(17) Simplify 5 + sqrt(19)*2 + -1. 4 + 2*sqrt(19) Simplify (-1*sqrt(3) + 1)**2 + sqrt(3) + -2 + sqrt(3) + -3. -1 Simplify (sqrt(22) + sqrt(88)/(sqrt(16)/sqrt(4)) - sqrt(22))/(sqrt(11) - sqrt(891)*1). -sqrt(2)/8 Simplify (sqrt(57)/sqrt(3)*4)**2 + sqrt(19) + (sqrt(2736)*1 - sqrt(19)). 12*sqrt(19) + 304 Simplify (sqrt(77)/(sqrt(7)*-2) + (sqrt(11) - (5 + sqrt(11) + -2 + sqrt(11))) + -4)**2. 21*sqrt(11) + 295/4 Simplify (sqrt(19) - sqrt(76)/sqrt(4))**2*-4*-5 + (-3*2*sqrt(76))/sqrt(4). -6*sqrt(19) Simplify (-1*-1*sqrt(448))**2 - (sqrt(448) - (2 + sqrt(448) + -1 + sqrt(448)) - sqrt(448))**2. -1345 - 32*sqrt(7) Simplify (sqrt(76) - (sqrt(76) - (0 + sqrt(76) + sqrt(76))))**2 - (-1 + (sqrt(19) - (1 + sqrt(19)))). 306 Simplify ((-5 + sqrt(2299) + 0)*-6)**2. -3960*sqrt(19) + 83664 Simplify ((sqrt(2057) + 4*(0 + sqrt(2057)) - (sqrt(2057) - (0 + 0 + sqrt(2057)))) + -4)**2. -440*sqrt(17) + 51441 Simplify (-3*-3*sqrt(187) + sqrt(187))/sqrt(11). 10*sqrt(17) Simplify (3*1*sqrt(187) - sqrt(187))/(sqrt(55)/(sqrt(15)/sqrt(3))). 2*sqrt(17) Simplify ((-1 + sqrt(50) - sqrt(2)) + 0)**2. -8*sqrt(2) + 33 Simplify -4*(sqrt(128) + sqrt(14)/(sqrt(7)*2 + sqrt(7))). -100*sqrt(2)/3 Simplify (0 + sqrt(17) + sqrt(51)/sqrt(3))*5. 10*sqrt(17) Simplify sqrt(112)*-4 + 1 + sqrt(847) + sqrt(7). -4*sqrt(7) + 1 Simplify -2 + sqrt(44)/(sqrt(48)/((sqrt(12) - sqrt(12)*-1) + sqrt(12))). -2 + 3*sqrt(11) Simplify -6*sqrt(6)/sqrt(3) + (5 + sqrt(18))**2. 24*sqrt(2) + 43 Simplify 1 + (sqrt(550) - sqrt(550)*1 - sqrt(550))/sqrt(11). -5*sqrt(2) + 1 Simplify ((sqrt(504) - (sqrt(504) - (-2*sqrt(504) - sqrt(504)))*3) + sqrt(504))/sqrt(8). -30*sqrt(7) Simplify -4 + (sqrt(17) - -5*sqrt(102)/sqrt(6)). -4 + 6*sqrt(17) Simplify sqrt(68)*1 + -3 + sqrt(17)*2 + sqrt(17) + 4. 1 + 5*sqrt(17) Simplify sqrt(78)/(sqrt(294)*-3). -sqrt(13)/21 Simplify (sqrt(1792) + -1)**2. -32*sqrt(7) + 1793 Simplify 4 + (1*sqrt(1872))**2 + sqrt(13)*2 + 1. 2*sqrt(13) + 1877 Simplify 2 + (sqrt(17)*-1*1 + sqrt(17) + sqrt(17) - (-2*sqrt(17) - sqrt(17))*-4). -11*sqrt(17) + 2 Simplify ((sqrt(55) + sqrt(880))*3)/(6*sqrt(99)). 5*sqrt(5)/6 Simplify (sqrt(19)*-2 + -2)**2*-5. -400 - 40*sqrt(19) Simplify
{ "pile_set_name": "DM Mathematics" }
(s) + w(s). What is the third derivative of p(z) wrt z? 3360*z**3 What is the third derivative of 4*x**2 + 8*x**5 + 7*x + 0*x**2 - 7*x wrt x? 480*x**2 Let l(b) be the second derivative of b**8/1680 + b**7/2520 + b**4/12 + 2*b. Let x(m) be the third derivative of l(m). Find the third derivative of x(q) wrt q. 24 Let k(z) = -z**3 + 8*z**2 - 6*z - 3. Let d be k(7). Suppose -p = d*p - 15. What is the second derivative of 3*a + a + p*a**4 - 2*a wrt a? 36*a**2 Let s(f) be the third derivative of -f**8/84 - 3*f**5/10 + 11*f**2. What is the third derivative of s(k) wrt k? -240*k**2 Let x(i) = 8*i**2 - 5*i. Let d(z) = -33*z**2 + 21*z. Let b(r) = -6*d(r) - 26*x(r). Find the second derivative of b(a) wrt a. -20 Let d(o) be the first derivative of -3*o**4/2 + 8*o + 11. What is the first derivative of d(r) wrt r? -18*r**2 Let z = 5 + 0. Let d(h) = -5*h**2 + 2. Let x(f) = -5*f**2 + 1. Let k(i) = z*x(i) - 4*d(i). Differentiate k(r) wrt r. -10*r Let m(x) = x + 1. Let o be -2 - (0 + 4)/(-2). Let q(c) = -2*c + o - 3 + 1. Let d(v) = 3*m(v) + q(v). What is the first derivative of d(k) wrt k? 1 Let q = 84 + -78. Let d(j) be the third derivative of 0 + j**2 + 1/6*j**3 + 0*j**4 + 0*j**5 + 0*j**q - 1/70*j**7 + 0*j. What is the derivative of d(s) wrt s? -12*s**3 Let h(u) be the first derivative of u**5/10 - u**4/24 - 3*u**2/2 - 1. Let m(j) be the second derivative of h(j). What is the second derivative of m(i) wrt i? 12 Let b(f) be the second derivative of -2*f**4/3 - 10*f**2 + 7*f. Differentiate b(z) with respect to z. -16*z Let i(m) be the first derivative of -m**3/3 + m**2/2 + m - 3. Let u(s) be the first derivative of i(s). Find the first derivative of u(l) wrt l. -2 What is the first derivative of -4 - 4*u**2 - 276*u**3 + 4*u**2 + 261*u**3 wrt u? -45*u**2 Let u(a) = 9*a**3 + 3*a**2. Let v(x) = 3*x**3 + x**2. Let o(r) = 6*u(r) - 17*v(r). Find the third derivative of o(d) wrt d. 18 Let p(t) be the second derivative of t**6/5 - 3*t**3 - 8*t. What is the second derivative of p(u) wrt u? 72*u**2 Let i(n) = -n**2 - 5*n + 8. Let m be i(-6). What is the derivative of -1 + 2*y**4 - y**m - 1 + y**2 wrt y? 8*y**3 Let c = 4 - 0. Suppose -y + 0*y = -3. What is the second derivative of -5*u**y + u**3 + c*u**3 - u + 2*u**4 wrt u? 24*u**2 Let z = -5 + 8. Let w(r) = -r**3 - 20*r**2 - r - 17. Let d be w(-20). What is the third derivative of 0*p**2 + 3*p**d + p**2 - 5*p**z - p**3 wrt p? -18 Let f(u) be the third derivative of u**6/120 - u**5/30 + 8*u**2. Find the third derivative of f(x) wrt x. 6 Suppose 5*o - o - 12 = 0, -15 = -2*v - 3*o. Find the second derivative of -3*g**3 - g**3 + v*g - 4*g**3 wrt g. -48*g Suppose -g = 3*g - j - 4, 2*g + 4 = 2*j. Suppose g*f - 2*r + 4 = -0, 2*f - 5*r + 16 = 0. Differentiate n**f - 3 - 1 + 3 with respect to n. 2*n Let m(n) be the third derivative of 13*n**7/210 - 5*n**3/2 - 10*n**2. What is the derivative of m(j) wrt j? 52*j**3 Let b(x) be the first derivative of -2*x**4 - 9*x**2/2 - 4. Find the second derivative of b(z) wrt z. -48*z Let m(s) be the second derivative of -7*s**5/10 + s**2/2 - 7*s. What is the first derivative of m(q) wrt q? -42*q**2 Find the third derivative of -x**2 - 5*x**4 - x**2 + 0*x**4 + x**4 wrt x. -96*x Let l(b) = b**2 - 12*b + 5. Let q be l(12). What is the third derivative of j**q - 5*j**2 + j**2 + j**5 + 5*j**2 wrt j? 120*j**2 Let i(q) = 15*q. Let w be i(1). Suppose 0 = 5*u - w, 0 = -4*g - 5*u + u + 20. Find the second derivative of -g*d + d**2 - 3*d**2 + d**2 wrt d. -2 Let m(w) be the third derivative of -w**8/6720 + w**7/630 - w**4/8 - w**2. Let n(y) be the second derivative of m(y). Find the third derivative of n(k) wrt k. -6 Suppose -5*q = -8 - 12. Suppose -3*o + 1 = w + 6, -25 = -q*w + 3*o. What is the derivative of w*a - 2 + 0 - 2*a wrt a? 2 Let j(l) be the second derivative of 0*l**2 + 0 + 1/4*l**4 - 2*l + 1/3*l**3. What is the second derivative of j(x) wrt x? 6 Find the second derivative of -10*l**3 + 0*l + 2*l**3 + l wrt l. -48*l Suppose 0 = 3*p + 1 - 7. What is the derivative of -q + 3*q - p*q + 1 + 2*q**3 wrt q? 6*q**2 Find the third derivative of 18*b**4 + 4*b**2 - 26*b**4 - 9*b**2 wrt b. -192*b Let h(c) = -3*c + 9. Let j(u) = 1. Suppose -5*l - 2*z + 66 = 0, 3*z = 3*l - 0*z - 27. Let p(a) = l*j(a) - h(a). Find the first derivative of p(v) wrt v. 3 Let l(a) be the first derivative of -a**7/70 + a**3/3 + a**2/2 - 3. Let d(w) be the second derivative of l(w). What is the first derivative of d(i) wrt i? -12*i**3 Let b(t) = t**2 + 10*t + 12. Let h be b(-8). Let n be 4 + -2 + -4 - h. Find the first derivative of -x**n + x**2 + 1 - 3*x**3 wrt x. -9*x**2 Let p(o) be the first derivative of 0*o + 4/5*o**5 + 0*o**4 + 2*o**2 + 0*o**3 + 3. Find the second derivative of p(m) wrt m. 48*m**2 Let m(j) be the second derivative of 2*j**7/105 - j**5/15 - 3*j**2/2 - 2*j. Let w(n) be the first derivative of m(n). Find the third derivative of w(y) wrt y. 96*y Let b(q) = -2*q - 2. Let j be b(-2). What is the first derivative of -j + 3*n**2 - 3*n**2 - 2*n**3 wrt n? -6*n**2 Let p(k) be the second derivative of 19*k**4/6 - 7*k**3 - 11*k + 2. Find the second derivative of p(d) wrt d. 76 Let h(y) = -y**4 - y**3 - y**2. Let l(n) = -n**6 + n**4 + n**3. Let g(p) = 2*h(p) + 2*l(p). Find the third derivative of g(r) wrt r. -240*r**3 Let l(c) be the second derivative of -27*c**5/20 + 11*c**3/3 + 30*c. What is the second derivative of l(y) wrt y? -162*y Let g(x) be the second derivative of -4*x + 0 + 0*x**3 + 0*x**4 + 1/10*x**5 - 3*x**2. What is the first derivative of g(q) wrt q? 6*q**2 Let b = -4 + 6. Let d be 3*(1 - b/6). Find the second derivative of d*j**2 + 3*j - 2*j**2 + 2*j**5 wrt j. 40*j**3 Find the third derivative of -29*z**5 + 3*z**2 + 25*z**5 + z**2 wrt z. -240*z**2 What is the first derivative of -6 - 5 - 2*a + 4 wrt a? -2 Let i(p) be the third derivative of -p**6/10 - p**5/60 + 23*p**3/6 + 36*p**2. Find the third derivative of i(t) wrt t. -72 Let y(t) be the first derivative of 4*t + 2 - 3/2*t**2. What is the first derivative of y(i) wrt i? -3 Let v be (-3)/(0 + 1 + -2). Find the second derivative of -149 - q + 149 - v*q**5 wrt q. -60*q**3 Let j(p) be the first derivative of -24*p**5/5 + 14*p - 9. Differentiate j(f) wrt f. -96*f**3 What is the third derivative of 45*r**2 - 9*r**6 - 50*r**2 + 0*r**6 wrt r? -1080*r**3 Let n(m) be the third derivative of 13*m**4/24 + m**3 - 3*m**2. Find the first derivative of n(g) wrt g. 13 Let x(m) be the first derivative of 0*m**5 + m**3 + 0*m + 3 + 0*m**2 + 1/3*m**6 + 0*m**4. Find the third derivative of x(j) wrt j. 120*j**2 Let b(v) be the second derivative of 11*v**3/6 - 2*v**2 - 13*v. Differentiate b(i) with respect to i. 11 Find the third derivative of 27*p**2 + 227 - 227 - 7*p**3 wrt p. -42 Let s(y) = -y**2 + 9*y - 4*y + 2*y**2 - 10. Let v be s(-7). Find the third derivative of 3*l**3 - l**v - 3*l**3 + l**2 wrt l. -24*l Let q(f) be the second derivative of -f**8/14 + 3*f**4/4 + 11*f. Find the third derivative of q(v) wrt v. -480*v**3 Let k be -1 - (64/(-12))/4. Let q(a) be the first derivative of a**2 + 2 + k*a**3 + 0*a. What is the second derivative of q(s) wrt s? 2 Let y be (0 - 3) + 7/(-7). Let u be (y + 2 - -5) + -1. Find the second derivative of -2*h**4 - h + 5*h**4 - 5*h**4 - u*h wrt h. -24*h**2 Let l(c) be the second derivative of -5*c**9/504 + c**5/30 - c**2/2 - 2*c. Let i(s) be the first derivative of l(s). Find the third derivative of i(v) wrt v. -600*v**3 Let w(r) = 6*r**4 - 7*r**2 - 24*r. Let c(q) = 2*q**4 - 2*q**2 - 8*q. Let k(m) = -7*c(m) + 2*w(m). Find the second derivative of k(i) wrt i. -24*i**2 Let u(f) = f**3 + 8*f**2 - 8*f + 11. Let y be u(-9). Find the third derivative of 5*s**4 + 4*s**2 - 6*s**y - 7*s**4 wrt s. -48*s Let p(h) be the first derivative of -10*h**6/3 + 7*h**3 - 15. Find the third derivative of p(x) wrt x. -1200*x**2 Let g(w) = -4*w**2 - 57*w + 11. Let c(j) = j**2 + 19*j - 4. Let v(y) = -11*c(y) - 4*g(y). What is the second derivative of v(d) wrt d? 10 Suppose v + 12 = 5*v. Differentiate 7*k**2 - v*k**2 - k**2 + 3 with respect to k. 6*k Let f = 11 - 8. Let n = -1 + f. Find the first derivative of -4 + y**n + y**2 + 6 wrt y. 4*y Let h(l) be the second derivative of -l + 0 + 0*l**3 + 0*l**2 - 1/20*l**5 + 1/12*l**4. What is the third derivative of h(i
{ "pile_set_name": "DM Mathematics" }
q + 43834*q**3 + 5*q**5 wrt q. -6180*q**3 Let y(r) be the second derivative of -23*r**5/10 + r**4/12 + 35*r**3/3 - 11*r - 3. What is the second derivative of y(n) wrt n? -276*n + 2 Let h be ((-3)/(-6))/(7/70). What is the third derivative of -22*d**h + 0*d**4 + 0*d**4 + 25*d**5 + 12*d**2 wrt d? 180*d**2 Find the first derivative of 175 - 115*r**4 - 140445*r + 140445*r wrt r. -460*r**3 Suppose -2*h - 2 = 4. Let z be (6/h)/(2/(-3)). What is the second derivative of j**z - j + 6*j - 5*j**3 wrt j? -24*j Let v = 17 - 13. Suppose -v*p - p + 15 = 0. What is the third derivative of 8*y**2 + 22*y**p - 22*y**3 + 8*y**6 wrt y? 960*y**3 Let q be 10/(-4)*-1*10. Suppose 5*m - 22*s - 172 = -25*s, 4*s = 4*m - 112. Differentiate -1 + m*r**3 - q*r**3 + 2 - 2 with respect to r. 21*r**2 Suppose 8*r - 9*r + 7 = 0. Find the first derivative of 171*h - 1 + r*h**3 - 171*h - 3*h**3 wrt h. 12*h**2 What is the first derivative of 40*s**4 - 53*s**4 - 14 + 65*s**4 wrt s? 208*s**3 Let m be (65/2 - 2) + 2/4. Find the second derivative of -33*t**5 - m*t**5 - 14*t + 22*t**5 wrt t. -840*t**3 Suppose 12 - 6 = z. Let u = z + -4. Find the third derivative of 6*f**4 - 4*f**4 + 3*f**2 + 3*f**u wrt f. 48*f Let h(z) be the second derivative of -13/6*z**4 + 0*z**5 + 1/21*z**7 + 0*z**3 + 0 + 0*z**6 - 2*z + 0*z**2. What is the third derivative of h(s) wrt s? 120*s**2 Let h(c) = -4*c + 10*c - 4*c - 5*c. Let g(v) = -v**3 - v - 1. Let q = -8 - -2. Let i(r) = q*g(r) + 2*h(r). What is the first derivative of i(w) wrt w? 18*w**2 Let s(i) be the first derivative of -97*i**6/2 + 66*i**3 - 2*i + 135. Find the third derivative of s(q) wrt q. -17460*q**2 Let y(s) be the second derivative of s**3 - 3*s**4 + 212*s**2 + 5*s**3 - 31*s - 212*s**2. Find the second derivative of y(b) wrt b. -72 Suppose -a + 5 = 1. Suppose -g + 2*s = -2*g + a, s = 3*g - 5. What is the third derivative of x**g - 8*x**2 - 3*x**5 + 4 - 4 wrt x? -180*x**2 Let z(p) be the first derivative of p**5/5 + 7*p**4/6 - 11*p + 3. Let r(g) be the first derivative of z(g). Find the third derivative of r(o) wrt o. 24 Let q be 46/4 - (-2 - 7/(-2)). Find the second derivative of 17*b**2 - 7*b**2 + q*b - 2*b + 15*b**2 wrt b. 50 Suppose -2*b = 2*b - 4. Let q = b + 2. Differentiate -4*v**3 + 4 + 11*v**q - 3*v**3 wrt v. 12*v**2 Let h(d) be the third derivative of 0*d**3 - 1/10*d**6 + 11*d**2 + 5/12*d**4 + 0*d**5 + 0*d + 0. What is the second derivative of h(v) wrt v? -72*v Let x(p) = 46*p**2 + 67*p + 2. Let c(b) = 136*b**2 + 202*b + 5. Let k(u) = -4*c(u) + 11*x(u). Find the second derivative of k(o) wrt o. -76 Let i(q) be the third derivative of 0*q**6 - 1/56*q**8 + 5*q**2 - 3/20*q**5 + 0*q**4 + 0*q**3 + 0 + 0*q**7 + 0*q. Find the third derivative of i(a) wrt a. -360*a**2 Let a(f) = 3*f**2 - 21*f - 5. Let w = 32 + -36. Let c(h) = 3*h**2 - 20*h - 4. Let b(s) = w*a(s) + 5*c(s). Find the second derivative of b(k) wrt k. 6 Let q(i) be the second derivative of -11*i**6/2 + i**3/6 + 55*i**2 - 12*i + 2. What is the second derivative of q(a) wrt a? -1980*a**2 Let i = 195 + -193. Let b(v) be the first derivative of 0*v**4 + v**3 + 0*v + 0*v**i - 3 + 1/7*v**7 + 0*v**5 + 0*v**6. Find the third derivative of b(c) wrt c. 120*c**3 Let b(l) be the second derivative of -77*l**5/10 + l**4/3 + l**3/2 + 193*l. Find the third derivative of b(y) wrt y. -924 Let v(f) = -f**2 - 11*f - 13. Let m be v(-9). Suppose -d - 12 = -m*d. What is the second derivative of -2*c - c**3 + 2*c**3 + 2*c**d wrt c? 18*c Let m(i) = 636*i**3 - 112*i**2 + 28*i - 20. Let t(r) = 91*r**3 - 16*r**2 + 4*r - 3. Let h(d) = 3*m(d) - 20*t(d). What is the third derivative of h(x) wrt x? 528 Let l be ((-16)/8 + 5 - 3)/1. Let i(u) be the third derivative of -5/6*u**3 + 13/24*u**4 + l*u + 0 + 2*u**2. What is the first derivative of i(q) wrt q? 13 What is the third derivative of 23 + k**3 - k**3 + 620*k**5 - 562*k**5 + 2*k**2 wrt k? 3480*k**2 Let r(m) = -695*m + 46. Let l(h) = 1401*h - 93. Let o(b) = 6*l(b) + 13*r(b). What is the derivative of o(x) wrt x? -629 Suppose 62 = 4*m + 42. Suppose 9 = 5*l - 1. Find the second derivative of -6*g + 6*g**5 + l*g + g**5 - 8*g**m wrt g. -20*g**3 Suppose 1 + 1 = 5*u - x, 4*x - 8 = 4*u. Suppose w + 2*f - 24 = u, -5*w = -5*f - 110. Find the second derivative of -w*l**5 + 24*l**5 - l - 2*l wrt l. 20*l**3 Differentiate 0*f - f - 121*f**3 + 296 - 16*f**3 with respect to f. -411*f**2 - 1 What is the third derivative of -5*x**2 - 2 + 9 + 6 - 11 + 150*x**3 wrt x? 900 Let q(j) be the third derivative of 34*j**7/35 - 83*j**3/3 - 497*j**2. What is the derivative of q(o) wrt o? 816*o**3 Suppose a + 8 = 4*q - 2, 0 = -4*q - 3*a + 18. What is the second derivative of -30*f**3 + 10*f**3 + 4*f**3 - 27*f - 19*f**q wrt f? -210*f Let l(k) be the third derivative of 23*k**6/40 + k**3/6 + 170*k**2. Find the first derivative of l(w) wrt w. 207*w**2 Let q(k) be the first derivative of 6*k**5/5 + 8*k**3/3 - 17*k - 11. Let x(f) be the first derivative of q(f). Find the second derivative of x(g) wrt g. 144*g Let t = -29 + 31. What is the second derivative of 3*z + 0*z**2 - 4*z**t + 4*z**2 - 7*z**4 wrt z? -84*z**2 Let l(u) be the second derivative of 0*u**3 + 0 - 12*u**2 + 37*u - 31/12*u**4. What is the first derivative of l(f) wrt f? -62*f Let r = -291 - -296. Let i(u) be the third derivative of u**2 - 5/24*u**4 + 1/60*u**r + 0 + 0*u + 0*u**3. What is the second derivative of i(g) wrt g? 2 Let m(d) be the first derivative of 99*d**4/4 - d**3/3 + 5*d**2 - 24. Find the third derivative of m(o) wrt o. 594 Suppose -2*c = -2*d - 6, -c - c = d - 9. Suppose 10 = -c*l + 6*l. Differentiate -5 - 8 + 4 - 10*o**2 + l*o**2 wrt o. -10*o Let q(p) be the first derivative of 11/4*p**4 + 0*p**3 + 0*p**2 - 1 + 11*p. Differentiate q(r) wrt r. 33*r**2 Let w(k) be the third derivative of -703*k**5/60 + 203*k**4/24 - 662*k**2. Find the second derivative of w(u) wrt u. -1406 Suppose 6*m = 2 - 86. Let y = m + 19. Find the third derivative of -3*h**y + h**5 - 13*h**2 + 12*h**2 wrt h. -120*h**2 Suppose 0 = -n + 2*o + 17 + 11, 0 = -3*o. What is the second derivative of -11*u + 25 + 4*u**4 + n - 53 wrt u? 48*u**2 Suppose 2*h + t - 7 = 0, -2*h + 7*h - 3*t - 23 = 0. What is the second derivative of -20*p**3 + 9*p - 4*p - 3*p + h*p wrt p? -120*p Suppose 0 = -3*h + 18 - 3. What is the third derivative of 0*g**5 + 7*g**5 + 4*g**h - 3*g**2 + 0*g**5 wrt g? 660*g**2 Let l(d) be the second derivative of 0*d**5 + 0 - 1/10*d**6 + 0*d**2 - 11*d + 2/3*d**4 + 0*d**3. What is the third derivative of l(x) wrt x? -72*x Find the third derivative of -61*x**3 - 2*x**6 + 61*x**3 - 27*x**4 + 51*x**2 wrt x. -240*x**3 - 648*x Suppose -k = 3*k + 4*i, -i - 12 = -2*k. Find the third derivative of -19*n**4 + 3*n**k + 23*n**2 - 10*n**2 wrt n. -384*n Let l(m) = -129*m**3 - 5*m**2 + 5*m - 105. Let f(u) = 131*u**3 + 6*u**2 - 6*u + 104. Let r(w) = 5*f(w) + 6*l(w). Differentiate r(i) with respect to i. -357*i**2 Let w be 0*3*(-6)/(-18). Let l(p) be the third derivative of -1/20*p**5 - 5/6*p**3 + w*p + 0*p**4 - 5*p**2 + 0. Differentiate l(t) wrt t. -6*t Let n(u) = 364*u**2 - 561*u + 12. Let f(g) = -g**2 - g - 2. Let t(a) = -6*f(a) - n(a). What is the second derivative of t(o) wrt o? -716 Let m = 6 - 3. What is the third derivative of 13*a**2 - 10*a**3 + m - 23*a**2 - 3 wrt a? -60 Let o(h) = 27*h - 18. Let v be o(16). Differentiate -202*z + 15 - 171*z + v*z with respect to z. 41 Let f(a) be the third derivative of 769*a**8/336 - 55*a**4/12 + 16*a**2 + 3*a. Find the second derivative of f(z) wrt z. 15380*z**3 Let d = 69 - 67. Find the third derivative of 11*b**4 - 21*b**4 + 12*b**4 - 21*b**d wrt b. 48*b Let s(o) = o**3 - 2*o + 2. Suppose f = -2*x + 3 + 2, 0 = -4*x - f + 5. Let p be s(x). Find the first derivative of -6*q**2 - p + 17 - 2*q**2 wrt q. -16*q Suppose -l - 5*d + 54 = 0, -4*l + 5*d + 100 = -91. What is the third derivative of -l*z - 6*z**2 - 4*z**6 + 49*z - 10*z**6 wrt z? -1680*z**3 Let o(c) be the third derivative of -2*c**7/21 - c**6/60 - 12*c**5/5 - 2*c**2 + 33*c. What is the third derivative of o(v) wrt v? -480*v - 12 Let d(v) be the first derivative of -17*v**5/10 + 9*v**2 - 35*v + 19. Let x(f) be the first derivative of d(f). Differentiate x(u) wrt u. -102*u**2 Suppose 4*f + 3*f = -0*f. Let b(q) be the second derivative of 0*q**5 + 0*q
{ "pile_set_name": "DM Mathematics" }
0/24. Put 5, -1/7, w, b in decreasing order. 5, b, -1/7, w Let b = -272 + 274. Sort 170/9, -0.1, b in descending order. 170/9, b, -0.1 Suppose 0*u = -v + 3*u - 15, 5*v + 93 = -3*u. Let y = 30634 + -30634.4. Put -2, v, y in ascending order. v, -2, y Suppose 5496*o = 5501*o - 100. Suppose -53 = 11*y - o. Suppose 0 = -5*c + 20, 2*d + 2*c + 0*c - 32 = 0. Sort -2, d, y in decreasing order. d, -2, y Suppose 57*a + 1410 = 1581. Sort -4, a, -3 in decreasing order. a, -3, -4 Suppose 4*b + 3*p + 1001 = 0, 3*b + 3*p + 425 + 322 = 0. Put -4, b, 1 in ascending order. b, -4, 1 Suppose -z - 3*a - 2*a - 129 = 0, 0 = -5*z - a - 525. Let k = z - -105. Suppose -3*m + 4*n = 1 + 4, 2*n = 2*m + 4. Sort 5, k, m, 2 in descending order. 5, 2, k, m Let m = -2072 - -2071. Sort -13, 24, 3, m in decreasing order. 24, 3, m, -13 Let p be (-9 - (-1722)/192)*-4. Sort -0.3, p, 355 in decreasing order. 355, p, -0.3 Let g be -7*(-3 + 2) + -6. Let t = 5.88 - 6.48. Put g, t, 0.4, -1/2 in descending order. g, 0.4, -1/2, t Suppose 0 = -8*i + 7*i + 3*p - 8*p + 54, 7*p - 70 = 0. Suppose -16 = 5*l + 9. Put 3, l, i in descending order. i, 3, l Let u be (1 - 2) + 5*1. Let n be 8128/672 - ((-12)/(-28) + 1/(-3)). Put u, -4, 1, n in descending order. n, u, 1, -4 Let w = 5.6 + -5.49. Let q = -127/9 - -871/63. Let g = 0.7 - 0.4. Sort g, w, -1, q in decreasing order. g, w, q, -1 Let v = 8686 - 8628.79. Let c = 57 - v. Let b = c - -0.71. Put b, -5, 3 in ascending order. -5, b, 3 Let b = 14088 - 14200. Sort -4/21, b, -3, -1 in decreasing order. -4/21, -1, -3, b Let g = 31/24 + -5/8. Let i = 88 + 138. Let m = 221 - i. Sort g, m, 2/7, 1/2 in increasing order. m, 2/7, 1/2, g Let l = -11.491 + 11.791. Sort -3, 0.018, -1, l in ascending order. -3, -1, 0.018, l Suppose -20*v + 22*v - 8 = 0. Let f(z) = -6*z + 21. Let m(n) = n - 4. Let b(g) = 2*f(g) + 11*m(g). Let j be b(-1). Sort v, 1, j in descending order. v, 1, j Suppose -9 = -i + 2*g, -i = -3*i - 5*g. Suppose 5*w - 35 = 2*l - 1, -3*w - i*l + 8 = 0. Sort w, 4, 0.5 in decreasing order. w, 4, 0.5 Let j be 8/6*(-8)/(32/(-93)). Suppose 27*s = j*s. Sort -18, -4, s. -18, -4, s Suppose 127*m - 30*m - 388 = 0. Sort 278, -4, m in ascending order. -4, m, 278 Let w = 1208 + -1209. Sort 0.2, -2/5, 182, w in ascending order. w, -2/5, 0.2, 182 Let l = -4987 + 4977. Let k be (-68)/18 - (-2)/(-9). Sort 3, 5, k, l in ascending order. l, k, 3, 5 Suppose -29 = -2*n - 3*u, -2385*u + 2389*u = n + 24. Let i = 2 + 3. Sort 3, i, -21, n in ascending order. -21, 3, n, i Let w = -18065 + 18027. Put -2, 2, 3, w, 1 in decreasing order. 3, 2, 1, -2, w Let c = -8651 + 8648. Sort -5, c, 2, 80, 4 in decreasing order. 80, 4, 2, c, -5 Suppose 2*y + 21 = -n - y, 4*n - 2*y + 14 = 0. Let c be ((-4)/(-6))/(n/(-333)). Let u = c - 36. Sort -4, -2, u, 4 in descending order. 4, u, -2, -4 Suppose -13 = -9*f + 32. Suppose 4*u + 8 = 0, u - 1 = 2*h - 3*h. Let l(b) = b**3 + 5*b**2 + 5*b - 1. Let n be l(-4). Sort f, n, h in increasing order. n, h, f Suppose 0 = 25*p - 22*p - 27. Let b be (32/(-36))/((-6)/p). Sort 2/15, b, -15, 3 in ascending order. -15, 2/15, b, 3 Let k = -4 + 3.7. Let i = 39519.1 + -39519. Put 5, -0.05, k, i in descending order. 5, i, -0.05, k Let p be 11/22 + 74/(-4). Let y = p - -50. Suppose -o + y = 28. Sort 2, o, -5 in ascending order. -5, 2, o Let n = -162721/5 - -32545. Let q be (-3)/(-3) + 5 + -2. Sort -11, q, n in increasing order. -11, n, q Let y = 5.9 - 262.9. Let o = 252 + y. Put -0.5, 0.05, -3/2, o in descending order. 0.05, -0.5, -3/2, o Suppose -61*z + 56*z = -3*x, 5*z - 2*x + 5 = 0. Put 2989, 2, z in increasing order. z, 2, 2989 Let j be 4/(-18)*15/10. Let i = 8953 - 8952.7. Sort 0, i, j, 6 in increasing order. j, 0, i, 6 Let h be (-573)/(-955) + 44/10. Let o = 0.42 + -0.02. Put -3, h, 2/27, o in decreasing order. h, o, 2/27, -3 Let p = 6 + -2. Let d = 383 - 383.424. Let c = 0.354 + d. Sort -0.4, 0.2, c, p in decreasing order. p, 0.2, c, -0.4 Let a = -175.61 - -177. Let l = a + -7.39. Let g be 3/9 - 11/15. Sort g, l, 1 in descending order. 1, g, l Let s(f) = 3*f**2 + 2*f - 1. Let i be s(-2). Let h = 11 - -13. Let o = h - 27. Put o, i, 4 in increasing order. o, 4, i Let k be 24/40 + (7 - 159/15). Put 87, 9, k, -2 in decreasing order. 87, 9, -2, k Let p be 83/(498/(-960)) - (-3 - 1). Sort -1, p, 3, 1, 5 in increasing order. p, -1, 1, 3, 5 Suppose -99*b + 667*b = -623*b - 4764. Let q = -4 + 1. Sort q, -94, b in increasing order. -94, b, q Let u = 4233 + -4307. Put 0, 8, 2, u, 4 in decreasing order. 8, 4, 2, 0, u Let x be (-532)/147 + 3 - (-2)/7. Let l = -3923 - -3922.9. Put x, l, -0.2 in increasing order. x, -0.2, l Let p be 8/(-6) + ((-32)/48 - 2). Sort -3, -802, -2, 4, p in ascending order. -802, p, -3, -2, 4 Let a be (-29)/(-116)*(1 + 2 + 1). Put -45, -5, a, -3 in decreasing order. a, -3, -5, -45 Let s = 6982 + -6982.1. Sort -0.02, 3, s, 16 in descending order. 16, 3, -0.02, s Let k(q) = -2*q - 68. Let t be k(14). Let a = -97 - t. Let g = 4.99 + 0.01. Put g, -4, a in decreasing order. g, a, -4 Let k be ((-22)/12 - 60/(-72))*394. Sort k, 0.1, -0.3 in decreasing order. 0.1, -0.3, k Suppose 14*j + 31*j = -70875. Let f be (-1176)/j - 4/50. Put -0.04, 5, f, -0.3 in descending order. 5, f, -0.04, -0.3 Suppose l - 17 = -4*t, -3*t + 2*l = -1 - 9. Suppose -5 = -5*v + 4*i, -i = -4*v - 0*i + t. Put 4, v, 5 in ascending order. v, 4, 5 Let r = -734370137/53639245 + 2/975259. Let x = -144/11 - r. Sort x, 9, 1/4 in decreasing order. 9, x, 1/4 Let w be (-16)/(-20)*400/(-320). Let t be (-36)/10 + 4/(-10). Sort 6, t, 4, w. t, w, 4, 6 Let r be 9 - 116/5 - 1/10*-2. Put 5, r, 55 in decreasing order. 55, 5, r Let c be -7 - 1/((-5)/38). Suppose -73 = 4*r - 3*f, r + 14 = 2*f + 3*f. Let j = 24 + r. Sort -0.2, 1/4, c, j in descending order. j, c, 1/4, -0.2 Let l = 0.321 - -2.479. Let k = 30 - 33.8. Let s = k + l. Put -2, s, 4, -11 in descending order. 4, s, -2, -11 Let k = 6847.3 - 6846. Sort k, 3, 1/2, -1, -2/11 in decreasing order. 3, k, 1/2, -2/11, -1 Let k(s) = s**3 - 35*s**2 + 292*s + 168. Let t be k(20). Put 4, 0, t, 12, 2 in decreasing order. 12, t, 4, 2, 0 Suppose -r + 33 = 2*r. Let h be 114/14 + r/(-77). Let k = 82 - 83. Put 1, h, k, -2 in ascending order. -2, k, 1, h Let u = -90 - -43. Let b = u - -43. Let k(i) = i**3 + 2*i**2 - i + 1. Let v be k(-2). Sort -0.3, b, v in descending order. v, -0.3, b Let m = -4394 + 4397. Sort -2/5, 5, m, -4. -4, -2/5, m, 5 Let s(b) = 12*b**2 - 802*b - 131. Let v be s(67). Let c(r) = 1 - 4*r**2 + 4*r**2 - r**3 + 0*r**2 + r**2. Let l be c(2). Sort v, -10, l. -10, l, v Let d be -1 + (-20)/(-9) - 1. Let t = -12937.6 + 12941.6. Sort d, t, -0.5, -5 in increasing order. -5, -0.5, d, t Suppose 6*c + 36 = -0*c, 0*b - 4*c = -4*b. Sort 0, 18, 2, b, 3 in descending order. 18, 3, 2, 0, b Let r = 8 + -16. Suppose 3207*t = 4*m + 3209*t - 30, 2*m = -3*t + 41. Put r, -3, m in descending order. m, -3, r Suppose 360*l + 72 = 378*l. Suppose 9*z - 7*z - 12 = 4*s, 4*s = -l*z - 12. Suppose -4*y - 1 = -5. Put y, z, -6 in decreasing order. y, z, -6 Let a = -428.8 - -423. Let g = a + 6.8. Sort 3, -0.3, g, -1 in increasing order. -1, -0.3, g, 3 Let v = -247 + 161. Let y = -26 - v. Let c be (-6)/(-10) - 24/y. Sort 0.07, -2, c in descending order. c, 0.07, -2 Let m be 2/(-14) - (140/49 + -5). Put 55, m, -9 in descending order. 55, m, -9 Let f = 14 + -13.6. Let x = -0.451 + -0.029. Let k = x + 4.48. Sort -6/11, f, k in increasing order. -6/11, f, k Let x = -150 - -164. Let b be 7/(84/(-40))*21/x. Sort b, -1, -6, -4 in ascending order. -6, b, -4, -1 Let t = -18673 - -18668. Sort t, 1, -4, -2, -11 in ascending order. -11, t, -4, -2, 1 Let y = -200 + 227. Let v be 2 - ((5 - (-1 - -3)) + 2). Put y, v, -1 in increasing order. v, -1, y Suppose 2*r - 3*r + d = 0, -20 = r - 5*d. Suppose -3*w = 1170*t - 1174*t - 22, -t + 5*w - 14 = 0. Let n be 1 + 0 + (0 - 8). Put t, 3, n, r in decreasing order. r, 3, t, n Let n(w) = -w**3 + 7*w**2 - 116*w + 1202. Let d be n(9). Sort d, -2, -15 in descending order. -2, d, -15 Let i = 5741734/273 - 21032. Put i, 0, -3/2 in increasing order. -3/2, i, 0 Let x be 4*(1848/1728 + -1 + 0/4). Sort 0, x, 3/4 in decreasing order. 3/4, x, 0 Let a = 14619/5 + -2922. Put a, 0.68, 1 in increasing order. 0.68, 1, a Suppose 521*a = -78*a + 5137 + 4447. Suppose -2*
{ "pile_set_name": "DM Mathematics" }
suming j is positive. j**(-193/30) Simplify (o**(-1/45)/(o*o**(1/55)))/((o**(-29)*o)/(o*o*o**(-4/7)*o)) assuming o is positive. o**(20366/693) Simplify (k*k**(1/5))**(-2/27)*(k*k**(1/7)*k)**7 assuming k is positive. k**(671/45) Simplify ((k*k**9*k*k)/(((k**(-2/17)*k)/k)/k))/(k/k**(-2/13)*(k**(2/3)*k)/k*k) assuming k is positive. k**(6827/663) Simplify ((h/(h*h**(-7))*h**(-5))/(h**(-7)*(h/h**(-1/17))/h))**(-2) assuming h is positive. h**(-304/17) Simplify x*x**(1/27)*x*x**(-20)*(x/(x/x**(18/11)*x))/((x/(x/(x*((x/(x/(x*x*x/(x**(14/9)/x))))/x)/x))*x)/x) assuming x is positive. x**(-5575/297) Simplify (m/m**(3/8)*m)/(m**23/m)*m*m/(m*m**(-17/3)/m)*m/m**(1/23) assuming m is positive. m**(-6487/552) Simplify (v/((v*((v**(-4/3)*v)/v*v)/v*v)/v)*v**1)/(v/(v*v**3*v))**(-35) assuming v is positive. v**(-413/3) Simplify ((z**2*z*z*(z**(2/33)/z)/z*z)**(-1/28))**(2/37) assuming z is positive. z**(-101/17094) Simplify (x/x**20*x**(-16/3)/x*x*x)/((x**(-6/7)/x*x)/((x*x*(x/(x*x/(x**(-3)*x)))/x)/x)) assuming x is positive. x**(-535/21) Simplify (o**12/(o**(-5)*o*o*o))/(o**(-1/16))**(-8) assuming o is positive. o**(27/2) Simplify (c*c/c**(-20)*c)/c**19*(c**14)**(-1/41) assuming c is positive. c**(150/41) Simplify ((r*r*(r*r/r**1)/r*r*r)/r*r**(4/3)*r**(-2/7)*r*r**(-5/6))**(-12/5) assuming r is positive. r**(-354/35) Simplify i**(9/2)/(i/i**(-24))*i**(4/5)/(i/(i*((i/(i**(-7/6)/i*i)*i)/i)/i*i)*i) assuming i is positive. i**(-278/15) Simplify (((u**1/u)**42)**(1/21))**(-2/15) assuming u is positive. 1 Simplify (i*i/(i/i**(-4/5)*i)*i**(-1/20))/((i*i*i/i**7)/(i/(i*i*i**17)*i*i)) assuming i is positive. i**(-257/20) Simplify (((t/(t*t*t**7*t))/t**(-2/9))/((t*t**(1/4))/t)**(-2/143))**(-2/19) assuming t is positive. t**(22585/24453) Simplify (h**24/(h*h**(1/8)))/(h**(-20)*h**21*h) assuming h is positive. h**(167/8) Simplify (((r*r/((r*r**(-1/11))/r))/r)/(r/(((r**3/r)/r)/r)))/(r**7*r*r*r*r**(-12)) assuming r is positive. r**(23/11) Simplify (r/r**14*r*r)**13*(r**(-2/13))**42 assuming r is positive. r**(-1943/13) Simplify (((v/((v*(v/((v/(v*v**1*v*v))/v))/v)/v)*v)/v)/v*v)**(2/15)*(v**3)**(1/10) assuming v is positive. v**(-1/10) Simplify ((y*y/((((y**(-1/2)/y)/y)/y)/y*y)*y)**(-18)/(y**1)**(-5))**(-2/29) assuming y is positive. y**(224/29) Simplify ((s**(-6)/s**7)/(s/s**(-1/3))**(-7/2))**(2/131) assuming s is positive. s**(-50/393) Simplify ((u**2*u/((u/(((u**(2/7)*u)/u)/u))/u))**23)**4 assuming u is positive. u**(1472/7) Simplify (b**(-4/9)/b)**(-2/83)*b**11*b/((b**(-10/3)/b*b)/b) assuming b is positive. b**(12227/747) Simplify (m/((m**6/m*m)/m)*(m/(m/((m*m**(10/13))/m)))/m)**(1/4) assuming m is positive. m**(-55/52) Simplify ((j*j*j*j*j**(1/15))/j)/((j*j**(-2/5))/j)*j/j**24*(j*j**(-19))/j assuming j is positive. j**(-578/15) Simplify (k**(8/11)/(k*k**(-2/31)))**(-1/7) assuming k is positive. k**(71/2387) Simplify (c**(-1/3)/c)**(-24/13)/((c*c**9)/c**9) assuming c is positive. c**(19/13) Simplify (g/g**(1/3)*g**(-1/5)*(g*g**(-1/4))/g*g**(-7))**(-2/3) assuming g is positive. g**(407/90) Simplify (b**9)**(3/2)/(b**(-9)*b)**(1/6) assuming b is positive. b**(89/6) Simplify ((h**(-1))**(2/57)*(h/(h/h**(-1)*h*h))**47)**(2/7) assuming h is positive. h**(-16078/399) Simplify a**(1/3)*a**19*(a*(a/(a/a**(1/18)*a))/a)**(-1/53) assuming a is positive. a**(18461/954) Simplify (h*h*h**18*h**(-3/5))/(h*h/(h/(h*h**(2/3))))**14 assuming h is positive. h**(-269/15) Simplify (g**(-1/2))**(-5/2)/(g*g*g**(7/3)*g*g*g/(g**(-2/3)*g)) assuming g is positive. g**(-23/4) Simplify (k/((k/k**(-27/4))/k)*k)/k**(-3/4)*k*k/k**(1/10)*k/k**(-11) assuming k is positive. k**(99/10) Simplify ((x**(-1/7)*x*x*x**8)**10)**(4/25) assuming x is positive. x**(552/35) Simplify (n*n**(10/7))/n**(-2/13)*((((n*n**23)/n*n)/n)/n)/(n/(n/(n**(-3/2)/n))*n) assuming n is positive. n**(4747/182) Simplify (d*d*d*d**13/d*d/(d*d/d**(1/2)))**44 assuming d is positive. d**638 Simplify ((l/(l*l/(l/l**(-18/5)*l*l)))/l)**(-5/12)*(l*l*l**(1/6)*l)/l*l*l*l**(16/5) assuming l is positive. l**(109/20) Simplify b**(2/13)/b**5*(b**(2/7)*b)**25 assuming b is positive. b**(2484/91) Simplify b**1*b**(-1)*b/(b/b**7)*b*b**(1/2) assuming b is positive. b**(17/2) Simplify ((h/(h/h**(6/11)))/h*h**19)/((h*h**(2/19))/h**1) assuming h is positive. h**(3854/209) Simplify (u**(-1/14)*u*u*u**(2/61))/(u**(-2/27)/u*u**(2/27)) assuming u is positive. u**(2529/854) Simplify (((c/c**(-4))/c)/c)**3*(c*c*c*c**(1/2)*c*c*c)/c**(-1/10) assuming c is positive. c**(78/5) Simplify (g*g**(-2/3)*g**6*g)/(g/(g**(-8)/g)*g*g**(-24)/g) assuming g is positive. g**(64/3) Simplify ((u*u*u*u**(-20)/u)/(u*u**(-1/6)/u))/((u*u**13)/u**23) assuming u is positive. u**(-53/6) Simplify (s*s/(s**(8/5)/s))/(s**(-2/9)*s)*s/(s/((s/s**27*s)/s))*s**(1/11) assuming s is positive. s**(-12517/495) Simplify w**(-9)/(w/(w*w**8))*(w*w**13)/w*w**(-1/16)*w assuming w is positive. w**(207/16) Simplify ((m/(m/(m/(m*m/(m/(m*m*m**(1/3)*m))*m))))**(-7/3))**26 assuming m is positive. m**(2366/9) Simplify (((n**(1/19)*n*n)/n**(-1/9))**(3/4))**(-31) assuming n is positive. n**(-5735/114) Simplify (y**2*y)**25*(y/(y/y**(-8)*y)*y)**(28/3) assuming y is positive. y**(1/3) Simplify (a**(-7/4)*a/(a**(-5)/a))/(a**(-17/3)*a/a**13*a) assuming a is positive. a**(263/12) Simplify (((t/(t*t/t**(-8)*t))/t)/t*t)/t**(-1/3)*t**(4/13)/t**(1/11) assuming t is positive. t**(-4483/429) Simplify (f**(-8))**(-16)/((f*f**(-2/5))/f)**(4/5) assuming f is positive. f**(3208/25) Simplify ((q**0*q)**(-29/5)*(q**(-1/3)/q)**(4/11))**17 assuming q is positive. q**(-17629/165) Simplify (c/(c*c**(4/11)/c)*c*c*c/c**(-10))/(c**(1/4)*c/(c**(4/13)*c)*c) assuming c is positive. c**(7261/572) Simplify ((v**(-3)/v*v*v*v*v**(2/21))**(13/4))**47 assuming v is positive. v**(-11609/84) Simplify (((b*(b*(b*b**(1/7)*b)/b)/b)/b)/b)**(-21/2)*((b*b**(1/3))/b*b)**(-43) assuming b is positive. b**(-353/6) Simplify (r*r**(-2))**(1/14)/((r**(-2)/r)/r*r**2) assuming r is positive. r**(27/14) Simplify k**(1/28)/k**(3/22)*(k**(-2/13))**(1/29) assuming k is positive. k**(-12303/116116) Simplify (j*j**(6/11)*j*j**(-1)/j)/(j*j**9*j*j)**(-5/2) assuming j is positive. j**(336/11) Simplify n/n**(-15)*n**13*n**(-16)/((n/(n*n**16/n*n)*n)/n) assuming n is positive. n**29 Simplify (u*(((u/((u/(u/u**14))/u))/u)/u)/u)/u**14*(u**(1/18)/u)/(u*u**(-1/19)) assuming u is positive. u**(-10223/342) Simplify (x/(x*x**(-7))*x**(2/45))/((x*x**(-5)*x*x)/x*x*x/(x**(-6)*x)) assuming x is positive. x**(137/45) Simplify ((t*t**(9/4))/t)/((t*t**(-1/7))/t)*(t*t/(t**(-4/11)/t)*t*t)**(7/2) assuming t is positive. t**(6519/308) Simplify (f**(1/2)/(f/(f/f**(-28))))**(-45) assuming f is positive. f**(-2565/2) Simplify (v**19)**(-1/2)/((v*v*v*v**8/v)/(v**26*v)) assuming v is positive. v**(15/2) Simplify (g*g/(g/(g*g*g/(g/(g**(4/7)*g))))*g**7*g*g)/(g**(-10)/g**(-16)) assuming g is positive. g**(53/7) Simplify q/(q/q**19)*q*q/q**(5/2)*q*q**(2/19)*q**(-1/18) assuming q is positive. q**(3343/171) Simplify (v**(-5)/v)/v**(2/3)*(v*v/(v*v**4))**17 assuming v is positive. v**(-173/3) Simplify ((k**(-6))**(-1/21))**(-4/17) assuming k is positive. k**(-8/119) Simplify (n*n**4*n*n)/n**(19/2)*(n**(2/77)*n)/(n*(n*n*n**9/n)/n) assuming n is positive. n**(-1767/154) Simplify ((v*v**(-15))/v)/(v/((v*(v**(-2/31)*v)/v*v*v)/v))*(v/(v**(-8)/v))/(v*v/(v**(2/9)*v)) assuming v is positive. v**(-1351/279) Simplify ((g*g/(g*g**(1/2)*g))**(-1/12)*g**2/(g**(1/2)*g*g))**(-34) assuming g is positive. g**(187/12) Simplify (i**(2/9)*i**5*(i**0*i)**(2/31))**8 assuming i is positive. i**(11800/279) Simplify (r*r*r**(2/9)*r*r**8*r*r*r*((r/r**(2/11))/r*r)**(1/16))**(-40) assuming r is positive. r**(-113045/198) Simplify (((k*(k*(k/(k/k**(-15)))/k)/k)/k*k)/k*k/(k*k/k**(-18)))/((k/(k*k**(-12/5))*k)/(k*k**(4/5)*k)) assuming k is positive. k**(-178/5) Simplify (j/j**(-30))**(6/11)*j**(-5/7)/((j*j/(j*j*j**(-22/7)*j))/j) assuming j is positive. j**(1159/77) Simplify (a**(-21/5))**5*(a**(11/3)*a)/a**(19/4) assuming a is positive. a**(-253/12) Simplify x/(x*x**(3/8)*x)*x**(3/8)*x**(-13)/x**7 assuming x is positive. x**(-21) Simplify ((w/(w*w*w**(-29)))/w**8)/((w/(w*w**17*w))/(w/((w**(3/10)/w*w)/w))) assuming w is positive. w**(397/10) Simplify (x*x/(x/x**(4/7))*x**7)/(x**9/(x*x**(-19))) assuming x is positive. x**(-129/7) Simplify (
{ "pile_set_name": "DM Mathematics" }
the second derivative of -2*v + 3*v - y*v**5 + 2*v wrt v? -60*v**3 Let l(z) = z**3 - z**2 - 1. Let c(y) be the first derivative of 2*y**4 - 4*y**3/3 - 6*y - 2. Let v(g) = c(g) - 4*l(g). Differentiate v(r) with respect to r. 12*r**2 Let a(u) be the third derivative of 7*u**6/40 + 14*u**3/3 + 18*u**2. Find the first derivative of a(l) wrt l. 63*l**2 Let p(v) = -v. Let t be p(-1). Let i be 4 + 1/(t/(-1)). What is the third derivative of -3*b**4 - 2*b**2 + 2*b**2 - i*b**2 wrt b? -72*b Let j(m) be the first derivative of -m**4/6 + m**3/3 - 3*m + 4. Let a(c) be the first derivative of j(c). Find the second derivative of a(w) wrt w. -4 Suppose 2 = -4*k + 5*k. Find the second derivative of -2*h**k + 3*h**4 + 3*h**2 + 4*h - h**2 wrt h. 36*h**2 Let n(i) = 8*i**2 + 7. Let q(r) be the first derivative of 5*r**3 + 13*r + 1. Let g(v) = -11*n(v) + 6*q(v). Find the first derivative of g(y) wrt y. 4*y Find the second derivative of 9*s + 10*s**2 - 5 + s + 5 wrt s. 20 What is the second derivative of 1 + 97*b - 86*b - 19*b**3 - b**3 - 2*b**4 wrt b? -24*b**2 - 120*b Let f(t) be the third derivative of t**7/720 + t**6/144 - t**5/30 + t**2. Let q(l) be the third derivative of f(l). Find the first derivative of q(b) wrt b. 7 Let j(p) be the third derivative of 1/2*p**3 + 2*p**2 + 0 - 1/8*p**4 + 0*p. Find the first derivative of j(o) wrt o. -3 Let j = 8 - 4. Differentiate -6*r - j - 3*r**2 + 6*r wrt r. -6*r Let k = -4 - -8. Suppose 0 = -2*c + c - 4*f + 20, -k*f + 20 = -3*c. What is the second derivative of 2*w**2 + 0 + w + 0 + c*w wrt w? 4 Find the third derivative of 5*t**6 + 0*t**3 - 3*t**2 - t**2 + 0*t**3 wrt t. 600*t**3 Let n(o) = -o**3 + 7*o**2 - 7*o + 8. Let c be 60/9 + 4/(-6). Let s be n(c). What is the first derivative of -1 + b + 3*b**s - 2*b + b wrt b? 6*b Differentiate -m**2 - 1 + 3 + 0 wrt m. -2*m Let u(j) = j**2 + 3*j - 1. Let r be (-5 + 6)/((-1)/4). Let v be u(r). Find the second derivative of t**4 + 0*t**4 - v*t - 3*t**4 + t**4 wrt t. -12*t**2 Let z(r) = -2*r - 10. Let p be z(-7). Suppose 0 = -w - p*b + 8, 0*w - 40 = -5*w - 3*b. What is the derivative of -8*l**2 + w*l**2 + l**3 + 3 wrt l? 3*l**2 Let o(z) = 6*z**4 - 3*z**3 + 5. Let h(f) = 18*f**4 - 8*f**3 + 15. Let c(p) = 3*h(p) - 8*o(p). What is the first derivative of c(v) wrt v? 24*v**3 Let p = -3 + 10. Suppose g - 9 = j, 4*g - j - p = 14. What is the third derivative of 4*l**2 + 0*l**g + 0*l**4 + 2*l**5 - l**2 wrt l? 120*l**2 Let a be (-1 + 2)/(2/(-12)). Let o = 8 + a. Differentiate o*k**4 + 8*k**2 - 8*k**2 + 3 wrt k. 8*k**3 Let x(n) = 6*n - 5. Let g(t) be the first derivative of -3*t**2/2 + 2*t + 4. Let h(d) = 13*g(d) + 6*x(d). Find the first derivative of h(o) wrt o. -3 Let x(a) = a**2 + a - 1. Let g(d) = -4*d**2 + 6*d - 15. Let l(i) = -g(i) + 6*x(i). Find the first derivative of l(t) wrt t. 20*t Let o(a) be the second derivative of 4*a**3 - 8*a**2 - 15*a. What is the first derivative of o(c) wrt c? 24 Let x(z) = 13*z**4 - 8*z**2 - 2. Let q(n) = -n**2 - 1. Let w(g) = -2*q(g) + x(g). What is the third derivative of w(j) wrt j? 312*j Find the third derivative of 0*x**2 + 0*x**6 - 3*x**2 + 9*x**6 wrt x. 1080*x**3 Suppose -7*y + 4*y = -15. Suppose 2*v + 6 = y*v. What is the third derivative of -3*m**2 + m**6 + m**v - 2*m**2 wrt m? 120*m**3 Let x(i) be the second derivative of -5*i - 3/2*i**2 - 1/12*i**4 + 0*i**3 + 0. Differentiate x(f) with respect to f. -2*f What is the third derivative of 84 + 4*j**5 + 2*j**2 - 84 wrt j? 240*j**2 Find the second derivative of 6*o**4 - 9*o**4 + 4*o + 8*o - 2*o wrt o. -36*o**2 Let r(m) = 2*m**2 - 2. Let k be r(2). Find the second derivative of -o + k*o**5 - 8*o**5 + 0*o wrt o. -40*o**3 Let l(c) be the first derivative of -25*c**4/4 + 31*c**2/2 + 56. What is the second derivative of l(p) wrt p? -150*p Find the third derivative of 5*z**2 - z**6 - 2*z**6 - z**6 wrt z. -480*z**3 Suppose 2 = 4*h + 5*f - 1, 0 = -2*h - 2*f + 2. Suppose -18 = -4*j - 0*c + 5*c, h*j + 3*c - 20 = 0. Find the second derivative of j*a**5 + a - 8*a**5 + a wrt a. -20*a**3 Suppose 3*k - 2*k - 2 = 0. Find the second derivative of k*n - 3*n**3 - 3*n - n wrt n. -18*n Let h(i) be the second derivative of -1/3*i**3 - 3*i + 0*i**2 + 0 - 5/12*i**4. What is the second derivative of h(n) wrt n? -10 Suppose -3*i + 4 - 13 = 4*b, -5*b = -3*i - 36. Let r = 11 + i. Find the second derivative of -3*p**2 - p + r*p**2 - p**2 + p**3 wrt p. 6*p Find the second derivative of -4*l**2 - 4*l**2 + l**2 - 5*l + 11*l**2 wrt l. 8 Suppose -4*j + 4 = -0*j. What is the first derivative of j + 4*w**4 - 7*w + 7*w wrt w? 16*w**3 Let x(w) be the first derivative of -w**8/168 + w**4/6 - 3*w**2/2 - 1. Let l(m) be the second derivative of x(m). Find the second derivative of l(b) wrt b. -40*b**3 Let g(o) = -o - 6. Let r be g(-7). Let q be (r/(-1))/((-1)/2). What is the third derivative of 3*c**4 - 4*c**4 - 5*c**2 + 3*c**q wrt c? -24*c What is the second derivative of -35*h + 3*h**2 + 14*h**2 + 12*h**2 wrt h? 58 Let t(b) = -21*b - 2. Let o(s) = 10*s + 1. Let p(q) = -5*o(q) - 3*t(q). Differentiate p(n) wrt n. 13 Find the second derivative of 5*g**3 - 2*g**5 - 5*g**3 + 0*g**3 + 4*g wrt g. -40*g**3 Suppose -21 = -n + 5*u, -2*n + 0*u + 4*u = -24. Find the first derivative of -2 - i**3 - n + 4 wrt i. -3*i**2 Let l(k) be the first derivative of 5*k**6/3 + 5*k**2/2 + 10. Find the second derivative of l(i) wrt i. 200*i**3 Suppose -2*a - 6 = -5*a. Suppose -d + 3*z + 5 = -3, a*d - z = 6. Differentiate 1 - 5 + 2 + d*k wrt k. 2 Let m(l) = -13*l**2 + 8*l - 7. Let a(c) = 12*c**2 - 8*c + 6. Let z(x) = -7*a(x) - 6*m(x). What is the second derivative of z(f) wrt f? -12 Let n(v) be the third derivative of 5*v**7/42 - 8*v**5/15 + 40*v**2. Find the third derivative of n(i) wrt i. 600*i Let h be ((-2)/(-6))/((-1)/(-51)). Let x = h + -12. What is the third derivative of -2*l**2 + 3*l**5 - 2*l**2 - 2*l**x wrt l? 60*l**2 Let a be 2 + -2 - (-4 - -2). Let g(u) be the second derivative of 1/6*u**4 + u + 0*u**3 - u**a + 0. Differentiate g(l) wrt l. 4*l Let z(a) be the third derivative of -17*a**4/24 + 2*a**3 - 8*a**2. Find the first derivative of z(s) wrt s. -17 Let g(o) = -o - 4. Let i be g(-6). Find the second derivative of -y**5 - 4*y - i + 2 wrt y. -20*y**3 Let w(k) be the third derivative of -3*k**2 + 0*k**3 - 1/6*k**4 + 0*k + 0 + 1/15*k**5. Find the second derivative of w(n) wrt n. 8 Let z be (-5)/(2 + (-12)/4). Find the second derivative of z*n + 10*n**4 - 7*n - 7*n - n wrt n. 120*n**2 Suppose 1 = l - 0. Let t(o) = -2*o + l + 1 - 4*o - 6. Let q(b) = 3*b + 2. Let h(w) = -7*q(w) - 4*t(w). Differentiate h(i) with respect to i. 3 Let z(j) = -7*j**3 + 2*j + 4. Let t(b) = -20*b**3 + 6*b + 11. Suppose 16 = -2*a - 2*a. Let p(m) = a*t(m) + 11*z(m). What is the second derivative of p(g) wrt g? 18*g What is the second derivative of 390 + 388 + 5*a**2 - 55*a - 776 wrt a? 10 Suppose 3*h = -0 + 6. What is the derivative of 3*t**2 - 1 - 1 - 4*t**h wrt t? -2*t Let p(l) = -l**2 - l - 1. Let s(k) = 6*k**2 + 9*k + 5. Let f(v) = -5*p(v) - s(v). What is the second derivative of f(q) wrt q? -2 Let l(x) be the second derivative of -x**5/10 - 7*x**2/2 + 2*x. Differentiate l(h) with respect to h. -6*h**2 Let q(u) = -u**3 + 3*u**2 + 2. Let i(d) = d**3 - d**2. Let b = 1 - -5. Let j(v) = b*i(v) + 2*q(v). Find the first derivative of j(z) wrt z. 12*z**2 Find the second derivative of 12*a**4 - a**2 + a**2 + 4*a - 2*a**4 wrt a. 120*a**2 Let k(i) be the second derivative of i**8/3360 + i**7/840 + i**4/6 + 3*i. Let h(n) be the third derivative of k(n). What is the third derivative of h(o) wrt o? 12 Let o(w) be the second derivative of -3*w**4/2 + 5*w**3/6 + 3*w**2/2 - 8*w + 2. Find the second derivative of o(x) wrt x. -36 Let l(t) be the first derivative of -2*t**7/105 - t**3/3 - 5*t**2/2 + 3. Let u(n) be the second derivative of l(n). What is the first derivative of u(f) wrt f? -16*f**3 Suppose y + 0*y = 5*u - 1, 0 = 3*y + 4*u + 41. Let r = -8 - y. Find the first derivative of 3*q**3 - 3*q**3 - q**4 - r wrt q. -4*q**3 Let x(t) = 3*t**2 - 1. Let i(c) = -c**3 + c**2 - 1. Let m(p) = -i(p) + x(p). Find the third derivative of m(k) wrt k. 6 Let q(j) be the first derivative of 23*j**5/5 - 14*j - 7. What is the first derivative of q(v) wrt v? 92*v**3 Let m(w) be the second derivative of -1/2*
{ "pile_set_name": "DM Mathematics" }
5 decimal places? 0.00043 Let a = 15.06 - 15.0599994744. What is a rounded to 7 dps? 0.0000005 Let a be (1 + -1)/((-10)/5) - -3. Let x be 183*a + -4*3/(-12). Round x to the nearest 100. 600 Let g = -217.744 - -218. What is g rounded to 2 decimal places? 0.26 Let c = -120 - -126.45. Let r = 0.25 - c. Let p = 6 + r. Round p to 1 decimal place. -0.2 Let o(v) = -9*v**3 + 2*v**2 + v. Let n be o(-1). Let j be (-4)/n + 364/10. Suppose -j = -a + 2. Round a to the nearest ten. 40 Let o(j) = 483*j**2 + 15*j + 8. Let b be o(-8). What is b rounded to the nearest 10000? 30000 Let g = -1.991 - -214.191. Round g to the nearest one hundred. 200 Let s = 3146.00002767 + -3146. Round s to five dps. 0.00003 Let y = 33725 - 58375. Round y to the nearest 1000. -25000 Let s = 133.9999949 + -134. What is s rounded to 6 decimal places? -0.000005 Let j = 107 + -55. Let m be 2433/(-13) - (-6 - (-304)/j). What is m rounded to the nearest ten? -190 Suppose 21*c + 229995 = -286185. What is c rounded to the nearest 1000? -25000 Let o = 302.2158 + -3.3458. Let n = o - 295. Let i = n - 4. Round i to one decimal place. -0.1 Let q = -24 + 13. Let d = 296.3 - 303. Let y = d - q. What is y rounded to the nearest integer? 4 Let c = 29220338 + 8642532. Let z(x) = -156586*x**2 + 15*x - 31. Let j be z(13). Let r = c + j. Round r to the nearest 1000000. 11000000 Let p = -0.48 - -0.38. Let a = p - -0.11. Let q = a - -2.45. Round q to one decimal place. 2.5 Let q = 358 - 357.42. Round q to 1 dp. 0.6 Suppose 4345283 = -44*v + 172763. What is v rounded to the nearest ten thousand? -90000 Let z be (3 - (3 + 1))*2. Let o = z + 0. Let q be (-4802 - o)*(-400)/(-2). Round q to the nearest one hundred thousand. -1000000 Let o = 11902246 - 26832246. What is o rounded to the nearest 1000000? -15000000 Let c = 0.41 + -1.26. Let n = c - -35.85. Let t = -34.999982 + n. Round t to five dps. 0.00002 Let c = 4.6 + 18.4. Let q = c + -22.999988. Round q to 5 dps. 0.00001 Let a = 2756 - -7236. Suppose f - 3*c + 178 = -9810, 2*c = f + a. Round f to the nearest ten thousand. -10000 Let x = 1117498.9433746 + 0.0566254. Let r = -1117497.999978 + x. Let p = -1 + r. What is p rounded to 5 decimal places? 0.00002 Let t = -9007 - -15297. Round t to the nearest one thousand. 6000 Let x = 648487 + -1300487. Round x to the nearest ten thousand. -650000 Let s(k) = 9229971*k + 87. Let g be s(3). Round g to the nearest 1000000. 28000000 Let k = 1.24 - -98.76. Let n = -892 - -783.9. Let u = k + n. What is u rounded to the nearest integer? -8 Let s = -9293207 + 9293084.999931. Let n = s + 122. Round n to 5 dps. -0.00007 Let m = 29 + -32. Let f be 1*m + 1948*-14. Let d = -19725 + f. What is d rounded to the nearest 10000? -50000 Let m = 21834 + -21834.79918. Let b = -0.88 - -0.08. Let u = b - m. What is u rounded to 4 decimal places? -0.0008 Let h = 15967450 - 30667450. Round h to the nearest one million. -15000000 Let s = 0.355 + 0.221. Round s to 1 decimal place. 0.6 Let c = 681 - 745.6. Round c to zero decimal places. -65 Let g = 0.0824 - -82.7176. Let x = g - 73. What is x rounded to zero decimal places? 10 Suppose 4*x = 2*x. Suppose -3*w - 5*a = -0*w - 16779, -5*w + 4*a + 28002 = x. Let y be w + (-1)/1 + 3. What is y rounded to the nearest 1000? 6000 Let l = -62.4646 - -0.0646. Let r = 12.6 - l. Let b = r - 75.0227. What is b rounded to three decimal places? -0.023 Let k = 1090 + -441. Let x be -3 + (k - 8/(-2)). What is x rounded to the nearest 100? 700 Let j = 0.135 - 0.035. Let s = j + 2.75. What is s rounded to one decimal place? 2.9 Let r = -345253775 + 818884697. Let w = 473630924.90000027 - r. Let m = w - 2.9. Round m to 7 dps. 0.0000003 Let w = 22.56 + -0.56. Let k = w - 22.00000184. What is k rounded to seven decimal places? -0.0000018 Let b(f) = -190164*f**2 - 3*f + 12. Let j be b(-9). Let m = j + 26003245. Round m to the nearest 1000000. 11000000 Let w = -18360.012377 + 18360. Round w to 3 decimal places. -0.012 Let b be (-22000)/((21/(-7))/(-780)). What is b rounded to the nearest 1000000? -6000000 Let r(w) = 148*w**2 - 40*w**2 + 12*w - 23*w. Let h be r(-8). What is h rounded to the nearest ten thousand? 10000 Suppose -4*r = -2*t - 0 - 8, 2*r + 5*t = 4. Let b = 1 + r. Let v be 4/b*-3*-45. What is v rounded to the nearest one hundred? 200 Let m(y) = -173335*y**2 - 9*y - 12. Let d be m(-3). Round d to the nearest ten thousand. -1560000 Let c(z) be the third derivative of -7699997*z**4/24 - z**3/2 + 22*z**2. Let v be c(1). What is v rounded to the nearest one million? -8000000 Let y = 16826340.5799721 - 16826336. Let j = y + -4.58. Round j to six dps. -0.000028 Let w be (-459)/(-18)*(-16)/3. Let p be (w*125)/(3/(-240)). Round p to the nearest one hundred thousand. 1400000 Let z = -5289161 + 5289163.199943. Let u = -2.2 + z. What is u rounded to 5 decimal places? -0.00006 Let s = 114.228 + -0.228. Let v = s - 114.00585. What is v rounded to 3 decimal places? -0.006 Let s = -161 + 142.2. Let m = s + 19.263. Let x = m - 0.46503. Round x to 4 dps. -0.002 Suppose -4*w = -u - 23, w + 3*u = -0*u + 22. Suppose 0 = -n + 26 + w. Let m be (-150)/(n/(-18) + 2). Round m to the nearest 1000. -1000 Let s = -0.012 - 2.888. Let p = -2 - s. Let h = -1.26 + p. What is h rounded to one dp? -0.4 Let g = -0.054 - -0.02445. Round g to three dps. -0.03 Let s = 124164 - 56164. What is s rounded to the nearest 10000? 70000 Let v = 42852.99979771 + -42853. What is v rounded to five dps? -0.0002 Let o = 55236 - 37631. Let c = o + -45605. Round c to the nearest one hundred thousand. 0 Let f(z) = -11201*z**3 - 10*z**2 + 2*z + 20. Suppose -j - 50 = 4*j. Let r be f(j). Round r to the nearest one million. 11000000 Let a = -50.6 - -23.9. Let o = a - -26.699999144. What is o rounded to seven dps? -0.0000009 Suppose 0*c = 8*c + 2*c. Suppose c = f - 4, -b - 4*f + 5820016 = 2*b. Round b to the nearest one hundred thousand. 1900000 Let d = -3275737 - -7537737. What is d rounded to the nearest 1000000? 4000000 Let a = 1937.8543 - 1945.8. Let o = a + 0.0057. Let d = -8 - o. What is d rounded to 2 decimal places? -0.06 Let f = 0.56 + -0.262. Let w = f - 0.19. What is w rounded to two decimal places? 0.11 Let i(f) = f - 2. Let s be i(-5). Let h(b) = b**2 + 5*b - 14. Let p be h(s). What is p rounded to the nearest one hundred thousand? 0 Let n = -15 - -18. Suppose 4*t - 16 = -4*i, -6 = -3*t + n*i + 24. Suppose -254 = -2*h - 5*l, h - t*l + 3*l - 140 = 0. Round h to the nearest ten. 130 Let s = 2846 + -1369. Suppose -6*z + 2003 = -s. What is z rounded to the nearest 100? 600 Let v = -7.1 - 0.16. Let w = v + -0.24. Round w to 0 decimal places. -8 Let j = 118.47 - 113.573. Round j to one dp. 4.9 Let t = -55.714 + -2.006. Let c = 58.3838 + t. Let a = c + -0.67. What is a rounded to three decimal places? -0.006 Let m(q) = -8266140*q + 700. Let k be m(5). What is k rounded to the nearest one million? -41000000 Let p be 4875*(-4864)/(-6 - -2). What is p rounded to the nearest one million? 6000000 Let g = -55.63 + 54. Let y = g - -0.73. Round y to 1 decimal place. -0.9 Let t = -792.63 + 792. What is t rounded to one decimal place? -0.6 Let r = -449.94 + 1.14. What is r rounded to the nearest one hundred? -400 Let b = -0.046 - -0.09. Let r = b - 0.05. Let p = r - -0.01. What is p rounded to two dps? 0 Let v = -832.5 + 739. What is v rounded to 0 dps? -94 Let k = -4009228.989 + 4018567. Let j = -9331 + k. Let b = 7 - j. Round b to 2 decimal places. -0.01 Suppose -1 = 3*t - 16. Suppose -t*j - 3*g = -5753, -4*j + 4595 = -4*g - g. Round j to the nearest 100. 1200 Let d = -33958.885 - -34064. Let c = -0.115 + d. Let b = -96.3 + c. Round b to the nearest integer. 9 Let h = -20208122749 + 20208119032.8882054. Let b = h - -3695.1118. Let f = -21 - b. What is f rounded to 6 dps? -0.000005 Let t = 201.9674 + 0.0326. Let c = 201.999907 - t. Round c to 5 dps. -0.00009 Let k = -2.426 - -2.4. Let n = -0.02591 - k. Round n to 4 dps. 0.0001 Let k = 133 + -41. Let d = 7 + k. Let w = -98.99903 + d. Round w to 4 dps. 0.001 Let r(z) = 65*z - 40. Let v be r(4). Let j be 60/(-9) + (-2)/(-3). Let m be (2*15)/(j/v). Round m to the nearest 1000. -1000 Let s = -0.65 - -0.64844. Round s to 3 dps. -0.002 Suppose 2*o = -293 - 897. Round o to the nearest one hundred. -600 Let x = -17.2
{ "pile_set_name": "DM Mathematics" }
er when t is divided by 78? 76 What is the remainder when 227 is divided by ((2 + 54)/7)/((-6)/(-24))? 3 Let a = 86 - 56. Let q = -4016 - -4023. Calculate the remainder when a is divided by q. 2 Let z(k) = k**3 + 9*k**2 - 32*k - 88. What is the remainder when 238 is divided by z(-11)? 18 Let c be ((-9)/(-6) - 1)*-54. Let q = c + 23. Calculate the remainder when q - (-9)/(18/184) is divided by 30. 28 Suppose 0 = 6*g - 110 + 56. Calculate the remainder when 86 is divided by (g/(-6))/((-255)/(-264) - 1). 42 Let a = -136 - -60. Suppose 5*l + 10 = 0, -4*x = x + 3*l + 1241. Let b = a - x. What is the remainder when b is divided by 29? 26 Let m = 83 - 70. Suppose 0 = m*q - 17*q + 2*g + 120, -g + 80 = 3*q. What is the remainder when q is divided by 12? 4 Suppose -20 = -s - g + 12, -52 = -s - 5*g. Let y be 20 - (-3 + (13 - 7)). Suppose -3*p = -y*p + 1484. Calculate the remainder when p is divided by s. 25 Let h(k) = 4*k**2 - 68*k + 9. Calculate the remainder when 127 is divided by h(17). 1 Let r = 2626 - 2532. What is the remainder when 346 is divided by r? 64 Let r(w) = 20*w + 6. Suppose 18 = -5*y + 4*y. Calculate the remainder when r(4) is divided by (y/(-6) + -12)*10/(-3). 26 Let i(d) = -d + 30. Let s(c) = c + 3. Let a be s(2). Suppose a*h = 716 - 121. Calculate the remainder when h is divided by i(0). 29 Let x = 81 + 386. Let q = x - 458. Let k(v) = -v**3 - v**2 + 3*v - 1. Calculate the remainder when k(-4) is divided by q. 8 Suppose -192*t + 45214 = 12*t - 78818. What is the remainder when t is divided by 87? 86 Suppose -5*i - 32*i + 170376 = -6*i. What is the remainder when i is divided by 20? 16 Suppose -2*g = -2*s + 4, g + 2 = 2*s - 2*g. Let k = -130 + 135. Let d(z) = -z**3 + 6*z**2 - 4*z + 2. What is the remainder when d(k) is divided by s? 3 Suppose -84*g + 49*g + 56*g = 588. Calculate the remainder when 257 is divided by g. 5 Let k be ((-36)/(-5))/(1 + (-52)/60). Suppose 3*n = 2*n - k. Let t = 70 + n. Calculate the remainder when 62 is divided by t. 14 Let l(q) = 64*q - 2213. Calculate the remainder when l(38) is divided by 64. 27 Suppose 3*s - 20 = 3*t + 2*t, -s + 3 = 2*t. Let a(f) = -16*f + 1. What is the remainder when 17 is divided by a(t)? 0 Suppose 3*r + 3*g - 669 = 0, -7*r + g + 928 = -673. Calculate the remainder when 1589 is divided by r. 221 Suppose 2*k - 5*b - 62 = k, -3*k = -b - 172. Calculate the remainder when 288 is divided by k. 3 Suppose 23*a - 5*i - 21425 = 18*a, -4*a + 17136 = -2*i. What is the remainder when a is divided by 84? 83 Let i(p) be the first derivative of p**2 + 17*p + 189. Suppose -2 = -2*k - 3*u, -2*k - 5*u = 2*k. What is the remainder when i(k) is divided by 7? 0 Suppose -2*p + 5*x = -209, -33*p - 3*x = -35*p + 211. Let w = 761 + -743. What is the remainder when p is divided by w? 17 Calculate the remainder when 2349 is divided by 8/((-16)/(-3))*(-750)/(-45). 24 Suppose -75*r = -23109 + 9084. What is the remainder when 408 is divided by r? 34 Let h = 77178 - 77099. Let w = -26 + 53. Calculate the remainder when h is divided by w. 25 Let s(z) = -z**2 + z - 47. Let x be s(0). Suppose w - 58 = 4*t - 0*t, -4*w = -5*t - 243. Let h = w + x. Calculate the remainder when h is divided by 9. 6 Let x(c) be the third derivative of 10*c**2 + 0 + 1/2*c**3 + 1/4*c**4 + 0*c. Calculate the remainder when 17 is divided by x(1). 8 Suppose 2*t + 148 = 2*i, 4*t + 0*i = 5*i - 294. Let d = -61 - t. Let j = 75 + -47. What is the remainder when j is divided by d? 13 Suppose 18 = 2*b - 2*m, 2*m = 3*b - 10 - 14. What is the remainder when 170 is divided by b? 2 Let l be (0 + 2)*(-27)/(-27) + 3. Suppose -23 = -l*g + 2*w, -2*g + 3*w + 7 = -11. What is the remainder when 27 is divided by g? 0 Let k(p) = 43*p + 70. Let h be k(-9). Let g = h + 376. Calculate the remainder when g is divided by 10. 9 Let k(c) = c**2 - 18*c + 34. Let d be k(16). Suppose -d*l + 4*j - 35 = l, -50 = 5*l - 5*j. What is the remainder when 57 + l + -3*(-2)/2 is divided by 21? 13 Let r = 39 - 11. Suppose 0 = -14*p + 92 + 1650 + 960. What is the remainder when p is divided by r? 25 Let u(f) = 4*f**2 - 15*f - 11. Let t be u(-6). Let s = t + -154. Calculate the remainder when s is divided by 12. 9 Suppose 736 = 20*v - 404. What is the remainder when 266 is divided by v? 38 Suppose -v = 4*v - 670. Suppose -15*d + 13*d = -312. What is the remainder when v is divided by 6*5 + d/39? 32 Let v(u) = 6*u**3 - 4*u + 1. Let f be v(-2). Let o = -36 - f. Suppose 3*x + 3*t = 24, -5 = -o*t - 17. What is the remainder when x is divided by 7? 5 Suppose -3*d + 42 = -81. Suppose d*a = 53*a - 3420. Calculate the remainder when a is divided by 41. 39 Let r(g) = 11*g**2 + 16*g - 293. Calculate the remainder when r(10) is divided by 57. 55 Let n = 110 - 9. Let t = n + -24. Calculate the remainder when 307 is divided by t. 76 Suppose 14 + 71 = 5*n. Suppose 5*k = -4*t + 41, t = -4*k + 6*t. Suppose -u - n = -2*a, a - k*u - 18 = 4. What is the remainder when 18 is divided by a? 4 Let k = 1673 + -946. Calculate the remainder when k is divided by 191. 154 Let s(m) = -m**3 + m**2 + 2*m - 2. Let b be s(0). Let c be (-2*35/40)/(b/80). Let a = c - 67. Calculate the remainder when 6 is divided by a. 0 Suppose -37*b - 5*u = -33*b - 4647, -2*b + 3*u + 2329 = 0. Calculate the remainder when b is divided by 51. 41 Let g be (-7)/28*-20 + 10/2. Let t(z) = z**2 + 8*z + 9. Let f be t(-6). What is the remainder when -55*(f/(-12) + g/(-8)) is divided by 20? 15 Let s = 17693 + -17674. Calculate the remainder when 1746 is divided by s. 17 Suppose -4*y + 1356 = g - 5*g, 1683 = -5*g + y. Let t = g + 381. What is the remainder when 101 is divided by t? 11 Let f(q) = -6*q**2 - 91*q + 15. Calculate the remainder when f(-14) is divided by 42. 29 Let s = -77 - -260. Suppose -18*d + 241 = -0*d - 893. What is the remainder when s is divided by d? 57 Calculate the remainder when -7 + (-208)/(-32) - (-9339)/6 is divided by 309. 11 What is the remainder when 76/4*-68*13/(-13) is divided by 322? 4 Let w(c) = -3*c**2 - 92*c + 491. Suppose -3*v + 60 + 102 = 0. What is the remainder when w(-33) is divided by v? 44 Let u(i) = -128*i + 647. Suppose 0 = -3*z + b + 1 + 244, -3*z + 229 = -5*b. What is the remainder when z is divided by u(5)? 6 Suppose -j + 52*j = 18666. Calculate the remainder when j is divided by 62. 56 Let d(c) = 20*c - 79. Let x be d(5). What is the remainder when 454 is divided by 279/x + (-28)/98? 12 Suppose -18*f = -5*f - 3*f - 2530. What is the remainder when f is divided by 64? 61 Let h = -3067 + 6100. What is the remainder when h is divided by 138? 135 Suppose 66 = 5*q - 344*s + 346*s, -2*s = -2*q + 4. Let z = 200 + -41. Calculate the remainder when z is divided by q. 9 Let u = -10423 - -10430. Let n = 87 - -1. Calculate the remainder when n is divided by u. 4 Suppose -9979*f - 3525 = -10004*f. Calculate the remainder when 615 is divided by f. 51 Let a = -237 + 247. Suppose 380 = 4*j + 152. Calculate the remainder when j is divided by a. 7 Let y(g) = -g**2 + 27*g + 70. Let t = 645 - 616. What is the remainder when 51 is divided by y(t)? 3 Suppose 68*p + 7185 = 73*p + 2*y, -3*y = 3*p - 4320. Calculate the remainder when 2873 is divided by p. 3 Let o(w) = -w**3 - 5*w**2 + 9*w - 99. What is the remainder when 2801 is divided by o(-10)? 2 Suppose -17*d = -3*d - 1232. Let h = -13 - -2. Let x(s) = s**2 + 9*s + 8. What is the remainder when d is divided by x(h)? 28 Suppose l - 4 = -0*l. Suppose 5*y = -10*w + 260, -w - 16*y + 61 = -12*y. Calculate the remainder when (-7)/(-28) - (-911)/l is divided by w. 18 Suppose 7*c - 5*c - 50 = 0. Suppose 5*g - 34 = 2*n + g, 0 = 5*g - c. Let w(j) = -8*j - 43. What is the remainder when 63 is divided by w(n)? 11 Calculate the remainder when ((-42)/(-8) + 2/(-4))/(3082/3094328) is divided by 15. 14 Let n(b) = -1. Let x(r) = -10*r + 1. Let m(s) = 2*n(s) - x(s). Suppose -2*i + 7 = 3*o, 3*i - 5*i + 5 = o. What is the remainder when m(o) is divided by 7? 0 Let t be (310/(-4))/(-7 + 1105/158). Calculate the remainder when 240 is divided by 1 + (-22)/16 - t/(-248). 44 Let l = 14420 - 14370. Suppose 22 = 2*n - 70. What is the remainder when l is divided by n? 4 What is the remainder when 147/(-2 + 27/14 + (-1140)/(-1064)) is divided by 12 - (3 + (-1)/1)? 7 Let q be (2/(-2))/(4 + (-5
{ "pile_set_name": "DM Mathematics" }
+ 0.7. Which is the nearest to d? (a) 1 (b) i (c) 0.5 b Let n = 2 - -3. Let a be (-2 + 24/15)*n. What is the closest to -2/3 in -4, 4, a? a Let n = -1221/2 + 594. Let j = 17 + n. What is the closest to -1 in 4, j, 5/3? j Let z = 68 + -64. What is the nearest to -3 in 5, 1/4, z? 1/4 Let z(i) = i. Let u = -11 - -8. Let h be z(u). Let y = -0.1 - -0.1. Which is the closest to y? (a) -1 (b) h (c) -5 a Let t(v) = -2*v + 3. Let g be t(1). Which is the nearest to -1? (a) -0.5 (b) -2/3 (c) g b Let p = 12 + -11.5. Let k = 0.4 - 2.4. Let f = k + 3. Which is the closest to f? (a) p (b) 0.1 (c) 1/7 a Suppose -4*z - a = -3*z - 1, -z + 3*a = -1. Let w = -0.11 - -1.41. Let r = w - 0.3. What is the nearest to z in r, -0.4, -1/4? r Let f be (3 - 3 - -1) + -2. Let v be (-4)/6*f/(-2). Which is the nearest to v? (a) 1/4 (b) -0.3 (c) -2 b Let p = -0.05 - -0.45. Which is the nearest to -2/3? (a) p (b) -3/7 (c) -2 b Let t be (3*-1 + 2)*-1. Let z be (2/(-6))/(10/12). Let i be 18/(-60)*8/(-3). Which is the nearest to 2? (a) t (b) z (c) i a Let l be (9/(-6))/(6/8). Let y be 10/l*2/5. Suppose -17 + 5 = -3*m. Which is the nearest to y? (a) 1/3 (b) -1 (c) m b Let x = -2/85 - 79/255. Which is the closest to x? (a) 0.2 (b) 3 (c) 1 a Let j be 2/8 + 21/(-4). Let o be (-12)/4 - (-30)/9. Which is the nearest to -1? (a) o (b) -3 (c) j a Let k = -2.8 + 2.7. What is the closest to k in -12, -0.3, 1/4? -0.3 Let c = -0.9 + 1. Let u = 0 - c. Let x = 22.3 + -22. What is the nearest to u in -2/7, x, 1? -2/7 Let h = 51.2 + -51. Which is the closest to h? (a) -3 (b) -2/5 (c) 3 b Let v = 5.16 - 0.16. What is the closest to 0.1 in v, -2/9, 4? -2/9 Let z = 59 - 58.6. What is the closest to 1/2 in z, 0.9, 1? z Let d = -11 - -7. Let y be 2 - (64/9)/4. Let f = 282/5 + -56. What is the closest to 2/5 in f, d, y? f Let d = 1.5 - -0.5. Let n = -303 - -302.9. Which is the nearest to -0.1? (a) n (b) -3 (c) d a Let v = 0.084 + -4.084. What is the nearest to 0.5 in -0.3, -0.4, v? -0.3 Let n = 803/5 - 160. Let h = 0.4 + -0.3. Which is the nearest to h? (a) n (b) -2/3 (c) 1 a Suppose 641 = 3*z - 2*k, 5*z + 2*k + 3*k - 1110 = 0. Let u = z + -1089/5. Which is the closest to -2? (a) u (b) 0 (c) -0.4 a Let f = -3 - -3.1. Let z be 24/14 + (-2)/(-7). Let u = -7 - -6.8. Which is the closest to f? (a) u (b) z (c) -0.4 a Let z be (32/(-18) - -2)*-3. What is the closest to z in 0, 3/7, -0.2? -0.2 Let k = 47.1 - 42.1. Let n = 3.2 + -3. Which is the closest to -3/2? (a) 1/2 (b) k (c) n c Let a = 0.5 - 14.5. Let v = a + 17. What is the closest to 2/7 in v, -3, -2/17? -2/17 Let o = 46 + -49. Let p = -63 + 442/7. Which is the closest to 0.1? (a) p (b) o (c) 5 a Let g = -0.03 - -3.03. Let o(d) = -d - 2. Let p be o(-2). What is the nearest to p in 0.2, 2, g? 0.2 Let s = -20 - -20.9. Let m = s - -1.1. Which is the closest to 2/5? (a) 5 (b) -3 (c) m c Suppose 2*r - 3*d = -2, 4*r - 18 = -3*d - 4. Suppose y = -r*y - 6. Which is the nearest to y? (a) 2 (b) 1 (c) -3 c Let n = 57.3 + -57. Which is the closest to n? (a) 0.1 (b) 2 (c) 3/4 a Let m be ((-2)/(-10))/((-30)/(-75)). What is the closest to 1 in m, 5, -0.2? m Let x = -4.99 + -0.01. Let i = 72 - 51. Let z be (7/i)/(5/(-6)). What is the closest to z in -2/5, x, 4? -2/5 Let f = -48 - -43. What is the nearest to 0.1 in -1/3, 2, f? -1/3 Let c = 4.072 + -0.072. Let r = 0 + -3. What is the nearest to 0.1 in c, 0.4, r? 0.4 Let t = -1363/1650 + -2/275. What is the nearest to 1 in 0, -0.1, t? 0 Let s(r) = r. Let d be s(2). Suppose 3*c + y = 6*y + 15, 0 = -c - d*y + 5. Suppose -4*o + 3*o = 1. What is the closest to o in 4, 0, c? 0 Let o = -8.7 + 9. Let x = -0.1 - o. Which is the closest to -1? (a) 2 (b) x (c) 0.2 b Let i = -0.1 + 0.1. Let t = -1.059 + 0.059. Which is the closest to i? (a) -4 (b) -5 (c) t c Let d(p) = p**3 - 4*p + 3. Let f be d(2). Suppose r = -f*r + 16. Suppose 0*n = 3*y - 3*n, 5*y = r*n. Which is the nearest to y? (a) -0.3 (b) 0.5 (c) -2/7 c Let r be 9/(-6)*(0 - (-16)/(-108)). Let l = -2 - 0. What is the nearest to r in 1, 2/11, l? 2/11 Let i(n) = -13*n - 1. Let j be i(5). Let c = 458/7 + j. What is the closest to -2/3 in c, 4, 0? c Let u = -29 - -26. What is the closest to 1 in 3, 2, u? 2 Let b = -112/205 - -6/41. What is the nearest to -0.1 in -4, -0.2, b? -0.2 Let j = -2.28 - -0.08. Let q = -2.6 - j. Which is the nearest to 0.1? (a) q (b) 5 (c) 2/9 c Let t be (-2 - (-12)/4)*-1. Let q = -15.7 - -15. Let p = q - 2.3. What is the nearest to t in -1/4, -5, p? -1/4 Let z = 0.3 + -0.6. Which is the closest to z? (a) -0.3 (b) 4 (c) 2 a Suppose -15 = -2*j - 17. Let d = -3.9 - -4. What is the nearest to d in j, 1, 2/5? 2/5 Let f = -10 + 10.4. Let d = f - 0.5. What is the nearest to d in 0.3, 5, -1? 0.3 Let t = -86 + 91. Which is the nearest to 1? (a) t (b) 1 (c) -5 b Let j = -69 - -72. Let x = -0.01 - -4.01. What is the nearest to 0 in x, j, 2/9? 2/9 Let c = 56.1 + -56. What is the closest to c in 0.008, -1, 1/8? 1/8 Let z = 81 + -77. Which is the nearest to -2/7? (a) -0.12 (b) -5 (c) z a Let x = -2.31 - -2.2. Which is the closest to -2/7? (a) 1/6 (b) 0.2 (c) x c Let r = 2.727 + -0.027. Let f = -2 + r. Which is the nearest to f? (a) 2/11 (b) 2 (c) -0.4 a Let z = 3 - -2. What is the closest to 2 in z, 3, 4? 3 Let d = 10 + -9. Let k = -6 + 5.8. Which is the nearest to -0.1? (a) k (b) d (c) -3 a Let k = -0.3 + 0.4. Let o = 0.2 + 0. Let n = o - k. Which is the nearest to n? (a) 2/3 (b) 0.2 (c) 1 b Let t(j) = j**3 + j - 4. Let k be t(0). Let z = -8 - -3. Let w = -6 - z. What is the closest to 2 in k, -4/5, w? -4/5 Let o = 0.9 + -1. Let s(f) = f**2 + f + 3. Let h = 1 + -3. Let y be s(h). Which is the nearest to o? (a) y (b) -5 (c) 2/9 c Let r = 6 - 8. Let a = r + -3. What is the closest to -1/4 in a, 1/3, 0.2? 0.2 Suppose -u - 4*i + 10 = 0, 5*u + i + 47 = 2. Let l be 5/u + 0/1. Let m = -13 - -13. Which is the nearest to 1? (a) m (b) l (c) 0.2 c Let r be ((-1)/5)/((-61)/(-305)). Let f = -2.2 + 2. What is the closest to r in 0.1, -2, f? f Let s be -6 + (2 - (-28)/(-16)). Let k = 5 + s. Let n be 6/(-4) + (1 - 1). What is the nearest to k in n, 0.3, -4/9? -4/9 Let r = -3.13 - -0.13. Which is the closest to 4? (a) r (b) -1/4 (c) 2/3 c Let h = -89/3 - -29. Let r = 4 - 14. Let x = -8 - r. What is the nearest to -0.2 in -0.3, x, h? -0.3 Let y = -9723899/35610 + 4096/15. Let g = y - 4552/13057. Let f = -2/11 - g. Which is the nearest to 1/3? (a) 2/13 (b) 0.2 (c) f b Let z = 500/3 + -165. Which is the nearest to 1? (a) z (b) -0.03 (c) 4 a Let c(v) = v**3 + 4*v**2 + 3*v. Suppose -5*q + 5*g - 15 = 0, g - 5 = 3*q + 4. Let y be c(q). What is the closest to y in -4, 2/33, -2? 2/33 Let f = 7 + -7.7. Which is the nearest to f? (a) 0 (b) -2/3 (c) -1 b Suppose 4*y - c - 8 = 0, 0*y - 2*y - 4*c = -4. What is the closest to -2 in -1/6, y, -3/7? -3/7 Let j = -3 - -5. Let m = 32 + -31.6. Which is the closest to j? (a) m (b) -1 (c) 0 a Let c = -4.7 - -0.7. Let o = c + -1. Let m = -65/24 + 27/8. What is the nearest to m in 5, o, 3? 3 Let j = -0.092 + 0.392. Which is the nearest to j? (a) -4 (b) 3/2 (c) -2 b Let h = 786980/21 + -37468. Let a = 46/7 - h. What is the nearest to -1 in a, 0.5, 1/9? a Let v(h) = 5*h**2 - 4*h + 3. Let j be v(2). Let p be (j/(-4) - -3)*4. Which is the closest to 0? (a) p (b) 5 (c) -0.5 c Let s = 44 + -49. Which is the closest to 0.1? (a) s (b) 0.2 (c) -2/9 b Let i = 0 - -0.1. Let p = -4 - -4.9. Let n = 1 - p. Which is the closest to i? (a) -1 (b) n (c) 4 b Let h = -0.1 + 1.1. Let r = 7 + -4. Let o = 2129/7 + -305. Which is the nearest to h? (a) 0.3 (b) r (c) o a Suppose -3*h - 2*h = 0. Let t be 2*(-2 + 5/3). Let s(o) = 4*o - 13. Let k be s(4). Which is the nearest to h? (a) t (b) k (c) 2/11 c Let b = 0.9 - 0.8. What is the closest to 1/3 in 4, b, 0? b Let m be -1 - 0 - 84/(-60). Which is the closest to 3/2? (a) -0.5 (b) -4 (c) m c Let f = -13.5 - -14. Which is the nearest to 0.1? (a) 0 (b) 17 (c) f a Let o = 0 + -2. Suppose 1 - 7 = -2*f, -4*f = 4*r + 48. Let j be ((-1)/3)/(1/r). Which is the nearest to 2/3? (a) o (b) j (c) -0.4 c Let b = 641/9 - 71. What is the closest to b in 0, -1/7, -1/2? 0 Let f = -132 + 656/5. Let x = -32 + 35
{ "pile_set_name": "DM Mathematics" }
1 - -1. Suppose o - 2 = -v*o. Find the third derivative of 0*f**2 - 2*f**6 + f**2 + f**o wrt f. -240*f**3 What is the third derivative of 3 - 1 - 4*z**4 + 6*z**2 - 2 wrt z? -96*z Let p(o) = -o**3 + 6*o**2 - o + 8. Let r be p(6). What is the first derivative of -22 - 3*l**r + 5 + 10 wrt l? -6*l Let b(q) = q**2 + 23*q + 5. Let h(k) = -11*k - 2. Let m(t) = -2*b(t) - 5*h(t). Find the second derivative of m(u) wrt u. -4 Let d(a) = -a**2 + a - 1. Let s = 0 + 10. Let f(t) = -3*t**2 + 5*t - 6. Let u(i) = s*d(i) - 2*f(i). Find the first derivative of u(c) wrt c. -8*c Let t(a) = -3*a + 4. Let i(r) = r + 1. Let v(g) = 2*i(g) - t(g). What is the derivative of v(c) wrt c? 5 Let b(m) = -16*m**6 + 9*m**4 + 32*m**2 + 12*m. Let i(a) = -4*a**6 + 2*a**4 + 8*a**2 + 3*a. Let q(j) = -2*b(j) + 9*i(j). Find the third derivative of q(f) wrt f. -480*f**3 Let t(n) = n - 8. Let q(a) = a + 4. Let s be q(6). Let x be t(s). Find the third derivative of -3*k**2 + k**2 + k**4 + 3*k**x wrt k. 24*k Let l(c) be the first derivative of c**9/378 - 7*c**5/120 - 7*c**3/3 + 6. Let f(j) be the third derivative of l(j). Find the second derivative of f(y) wrt y. 160*y**3 Find the first derivative of 3*h**4 - 16*h**4 + 1 - 10*h**4 + 19 wrt h. -92*h**3 Suppose 5*x = x + 4. Suppose 9*m = 12*m - 12. Differentiate -x + m*f**3 - 2*f**3 + 0 with respect to f. 6*f**2 Let s be 1 - (-3 - -3 - 1). What is the derivative of 2*r**2 + 1 - 1 - 5 + 3*r**s wrt r? 10*r Differentiate -13*z + 2 - 18*z + 12*z + 4 wrt z. -19 Let o(z) be the second derivative of -z**7/105 - z**4/12 + z**2/2 - 7*z. Let s(c) be the first derivative of o(c). What is the second derivative of s(a) wrt a? -24*a**2 Let m(l) = -4*l. Let y(g) = g**2 + 7*g. Let z(q) = 5*m(q) + 2*y(q). What is the second derivative of z(c) wrt c? 4 Let l(n) = 5*n - 26. Let k(m) = m + 2. Let h(i) = 3*k(i) + l(i). Differentiate h(p) wrt p. 8 Let t(m) be the first derivative of 0*m + 0*m**2 - 5/4*m**4 + 2/3*m**3 - 7. What is the third derivative of t(z) wrt z? -30 Let t(r) = 10*r**2 - 2*r. Let k be t(2). Let x be 80/k - (-2)/(-9). What is the third derivative of -2*l**x + 1 - 1 + 3*l**6 - l**6 wrt l? 240*l**3 Let f = 5 - 4. Let a = f + 3. Differentiate -a*v**3 + 3*v**3 + v**3 + 2*v**4 - 2 with respect to v. 8*v**3 Differentiate -2*f + f - 65 + 64 with respect to f. -1 Find the second derivative of 2 - 2 + 9 - 8 + 10*j**4 - 22*j wrt j. 120*j**2 Differentiate 6*z**2 - 6 + 2 - 11*z**2 wrt z. -10*z Let h(m) be the first derivative of 2*m**7/105 + m**4/24 + m**2/2 + 2. Let b(n) be the second derivative of h(n). Find the second derivative of b(g) wrt g. 48*g**2 Let x(i) = 35*i**5 - 2*i**3 - 31*i**2 - 2. Let a(z) = -36*z**5 + 3*z**3 + 30*z**2 + 3. Let v(b) = -2*a(b) - 3*x(b). Find the third derivative of v(y) wrt y. -1980*y**2 Find the third derivative of -1 - 12*n**2 - 2 + 13*n**6 + 3 wrt n. 1560*n**3 What is the second derivative of 41*j**2 + 2*j + 13*j + 3*j wrt j? 82 Let r(x) = 35*x**5 - 2*x**3 + 14*x**2 - 2*x. Let t(f) = 105*f**5 - 7*f**3 + 41*f**2 - 7*f. Let b(a) = 7*r(a) - 2*t(a). Find the third derivative of b(k) wrt k. 2100*k**2 Let r(i) be the second derivative of -i**3 - 5*i**2/2 - 3*i. Differentiate r(l) wrt l. -6 Let j = 5 - -5. Suppose 0 = -d - d + j, -2*t - 12 = -4*d. What is the third derivative of k**4 - 2*k**t + 2*k**4 - 2*k**2 wrt k? 24*k Let t = -4 - -7. Suppose t*w + 2*w = 20. Differentiate 1 + 0 - 3*d**4 + d**w with respect to d. -8*d**3 Let r(f) be the third derivative of f**8/112 + f**4/24 - 20*f**2. What is the second derivative of r(i) wrt i? 60*i**3 Let f(n) be the third derivative of n**7/210 + 7*n**5/120 + n**3/3 + 4*n**2. Let y(q) be the first derivative of f(q). Find the second derivative of y(s) wrt s. 24*s Let y(q) be the first derivative of 0*q**3 + 0*q**4 + 1 + 0*q + 5/2*q**2 + 2*q**5. Find the second derivative of y(m) wrt m. 120*m**2 Let b be (-6)/8*(-2 - 2). Suppose 2*d - 14 = -x, -3 = x - 2*d + b. Find the second derivative of q - 2*q**2 + 4 - x wrt q. -4 Let k(i) = 7*i - 47. Let u be k(7). Let c(r) be the first derivative of -4/3*r**3 - 1 - 2*r**u + 0*r. Find the second derivative of c(b) wrt b. -8 Let x(l) be the second derivative of 3*l**5/2 + l**2 + 16*l. Differentiate x(u) wrt u. 90*u**2 Let w be (-38)/(-9) + 8/(-36). Let g be (-2)/(-9) - 34/(-9). What is the second derivative of -w*z + 0*z**4 + 2*z - z**g wrt z? -12*z**2 Let u(x) = -2*x - 6. Let a be u(-12). Let c be 1 + a/3 - 3. Find the third derivative of -48 + 48 - r**2 - c*r**3 wrt r. -24 Let q(c) = -28*c**4 + 2*c**3 - 21*c**2 - 2. Let u(s) = 29*s**4 - 3*s**3 + 20*s**2 + 3. Let z(w) = -3*q(w) - 2*u(w). Find the third derivative of z(t) wrt t. 624*t Let v(a) = -2*a + 40. Let b be v(20). Let n(i) be the second derivative of -i**2 + 2*i + 1/3*i**4 + 0 + b*i**3. Find the first derivative of n(f) wrt f. 8*f Let k(f) be the third derivative of 9*f**5/20 + 2*f**4/3 - 21*f**2. What is the second derivative of k(w) wrt w? 54 Let f(r) = -1. Let h(b) = -11*b**3 - 25*b**2 - 6. Let i(s) = 6*f(s) - h(s). What is the third derivative of i(l) wrt l? 66 Let a(d) be the first derivative of 5*d**7/7 + 2*d**3/3 - 3. Find the third derivative of a(w) wrt w. 600*w**3 Let w(j) be the first derivative of 15*j**7/7 - 16*j**3/3 + 8. What is the third derivative of w(g) wrt g? 1800*g**3 Let s be (-4)/14 - (-60)/14. Find the first derivative of -1 + 3*k**2 - k - 3*k + s*k wrt k. 6*k Let a(r) = -53*r**3 + 5*r + 41. Let o(b) = 27*b**3 - 2*b - 21. Let i(x) = -2*a(x) - 5*o(x). Find the first derivative of i(g) wrt g. -87*g**2 Let l(o) be the first derivative of 0*o + 0*o**4 + 0*o**3 + 3 + 1/5*o**5 - 3/2*o**2. What is the second derivative of l(z) wrt z? 12*z**2 What is the third derivative of -5*h**5 + 14*h**5 - 20*h**5 + 2*h**2 wrt h? -660*h**2 Let i(n) be the first derivative of -n**5/20 - n**4/12 + 3*n**2/2 - 3. Let t(b) be the second derivative of i(b). Find the second derivative of t(f) wrt f. -6 Let r(q) = q**3 + 3*q**2. Let x be r(-3). What is the first derivative of 41*z - 4 - 43*z + x wrt z? -2 Let y be (-2 - (-1 + (0 - 2))) + -1. Let a(b) be the first derivative of 1/2*b**2 + y*b - 2/3*b**3 + 2. What is the second derivative of a(g) wrt g? -4 Let i(w) = 3*w - 2. Let c be i(2). Find the third derivative of c*n**2 + 2*n**4 + 3*n**2 - 4*n**2 wrt n. 48*n Let n(k) be the second derivative of k**6/120 - k**3/2 + 3*k**2/2 + 4*k. Let l(b) be the first derivative of n(b). What is the first derivative of l(r) wrt r? 3*r**2 Let a(q) be the third derivative of 0*q + 0*q**3 - 1/24*q**4 + 1/30*q**5 + 0 - q**2. What is the second derivative of a(r) wrt r? 4 Let q(j) be the first derivative of 0*j**3 + 0*j - 2/5*j**5 - 6 + 0*j**4 + 4*j**2. Find the second derivative of q(a) wrt a. -24*a**2 Suppose 5*g - 7*g - b = 0, 0 = g - 4*b - 18. Find the second derivative of o**3 - g*o**5 - o**3 + 3*o**5 + o wrt o. 20*o**3 Let x(p) be the third derivative of p**8/336 - p**5/40 + p**3/6 - 5*p**2. Let j(r) be the first derivative of x(r). Find the second derivative of j(a) wrt a. 60*a**2 What is the second derivative of -536*p**4 + 1 + 20*p + 555*p**4 - 1 wrt p? 228*p**2 Suppose 2*a + 12 = 6*a. What is the third derivative of -4*v**6 + 3*v**6 - a*v**2 + 4*v**6 wrt v? 360*v**3 Suppose 0 = 5*n + c - 6, 3*c + 0 + 6 = -3*n. What is the first derivative of u**3 - 13*u**2 - 3 + 13*u**n wrt u? 3*u**2 Let x(i) be the second derivative of i**6/15 - 2*i**5/15 + 9*i**2/2 + 6*i. Let h(s) be the first derivative of x(s). Find the third derivative of h(b) wrt b. 48 Let z(p) be the third derivative of p**8/6720 - p**6/144 + p**4/4 - 3*p**2. Let h(o) be the second derivative of z(o). Find the second derivative of h(y) wrt y. 6*y Suppose -5 + 0 = -y. Find the second derivative of g + 7*g - 3*g**2 - y*g wrt g. -6 Find the second derivative of -292*f**5 - 3*f**4 + 327*f**5 + 54*f + 3*f**4 wrt f. 700*f**3 Find the second derivative of -9*a**3 - 3*a + 28*a**2 - 28*a**2 wrt a. -54*a What is the third derivative of 0*l**2 - 4*l**2 - 38*l**3 + 30*l**3 wrt l? -48 Let h(s) = 14*s**3 - 2*s**2 - 34*s. Let z(g) = 13*g**3 - 2*g**2 - 33*g. Let k(y) = -2*h(y) + 3*z(y). What is the second derivative of k(o) wrt o? 66*o - 4 Let d(j) = -5*j**3 + 3*j**2 + j. Let a(n) = -6*n**3 + 4*n**2 + 2*n. Let m = 5 - 9. Let s(i) = m*d(i) + 3*a(i). Find the s
{ "pile_set_name": "DM Mathematics" }
ore 8:42 AM? 6:26 AM How many minutes are there between 4:25 PM and 6:59 PM? 154 What is 445 minutes after 9:36 PM? 5:01 AM How many minutes are there between 2:23 AM and 4:38 AM? 135 What is 485 minutes before 10:47 AM? 2:42 AM What is 135 minutes after 10:56 AM? 1:11 PM What is 470 minutes after 9:04 AM? 4:54 PM What is 421 minutes before 7:28 AM? 12:27 AM What is 217 minutes before 1:15 PM? 9:38 AM What is 145 minutes after 4:01 AM? 6:26 AM How many minutes are there between 7:22 PM and 7:05 AM? 703 What is 616 minutes after 3:27 PM? 1:43 AM How many minutes are there between 3:24 AM and 1:29 PM? 605 What is 154 minutes after 1:49 PM? 4:23 PM How many minutes are there between 12:31 AM and 6:45 AM? 374 How many minutes are there between 4:37 PM and 8:00 PM? 203 How many minutes are there between 5:35 PM and 12:33 AM? 418 How many minutes are there between 1:02 PM and 8:21 PM? 439 What is 443 minutes after 4:29 AM? 11:52 AM How many minutes are there between 5:31 PM and 11:38 PM? 367 How many minutes are there between 6:55 PM and 8:33 PM? 98 What is 584 minutes after 4:02 AM? 1:46 PM What is 617 minutes after 8:07 AM? 6:24 PM What is 543 minutes after 12:55 AM? 9:58 AM What is 693 minutes before 12:48 AM? 1:15 PM What is 51 minutes before 4:56 AM? 4:05 AM How many minutes are there between 8:52 PM and 5:44 AM? 532 How many minutes are there between 7:28 AM and 10:13 AM? 165 How many minutes are there between 10:00 PM and 2:37 AM? 277 What is 144 minutes before 9:14 AM? 6:50 AM What is 663 minutes after 11:44 PM? 10:47 AM How many minutes are there between 12:00 PM and 3:51 PM? 231 How many minutes are there between 9:52 AM and 10:55 AM? 63 How many minutes are there between 4:21 PM and 7:44 PM? 203 How many minutes are there between 5:31 PM and 5:02 AM? 691 What is 644 minutes after 9:22 AM? 8:06 PM How many minutes are there between 12:07 PM and 11:27 PM? 680 How many minutes are there between 8:23 PM and 3:42 AM? 439 How many minutes are there between 5:02 PM and 12:36 AM? 454 How many minutes are there between 2:55 AM and 3:35 AM? 40 How many minutes are there between 5:27 PM and 12:46 AM? 439 How many minutes are there between 10:50 AM and 4:22 PM? 332 What is 386 minutes after 6:11 AM? 12:37 PM What is 260 minutes before 7:44 AM? 3:24 AM How many minutes are there between 10:18 AM and 3:21 PM? 303 How many minutes are there between 6:00 PM and 2:11 AM? 491 What is 639 minutes after 1:04 AM? 11:43 AM What is 505 minutes before 2:02 AM? 5:37 PM What is 135 minutes before 2:52 PM? 12:37 PM What is 665 minutes before 3:53 AM? 4:48 PM What is 405 minutes before 1:32 AM? 6:47 PM What is 652 minutes before 12:27 AM? 1:35 PM How many minutes are there between 4:35 AM and 10:02 AM? 327 What is 625 minutes after 9:38 PM? 8:03 AM What is 430 minutes after 7:00 AM? 2:10 PM How many minutes are there between 11:31 PM and 10:35 AM? 664 What is 576 minutes after 3:24 PM? 1:00 AM What is 149 minutes before 4:25 AM? 1:56 AM How many minutes are there between 4:57 AM and 5:32 AM? 35 What is 36 minutes after 8:56 PM? 9:32 PM What is 559 minutes before 9:48 AM? 12:29 AM How many minutes are there between 8:23 AM and 11:19 AM? 176 What is 587 minutes after 3:19 PM? 1:06 AM How many minutes are there between 7:46 PM and 11:43 PM? 237 How many minutes are there between 12:53 AM and 5:44 AM? 291 What is 430 minutes after 5:34 PM? 12:44 AM What is 315 minutes before 2:21 AM? 9:06 PM What is 40 minutes before 3:48 AM? 3:08 AM How many minutes are there between 1:59 AM and 10:07 AM? 488 How many minutes are there between 8:43 AM and 4:09 PM? 446 How many minutes are there between 9:11 PM and 9:51 PM? 40 What is 689 minutes after 12:45 PM? 12:14 AM How many minutes are there between 2:05 AM and 2:55 AM? 50 How many minutes are there between 5:18 PM and 2:24 AM? 546 How many minutes are there between 9:33 PM and 4:56 AM? 443 What is 63 minutes after 8:35 PM? 9:38 PM How many minutes are there between 3:42 AM and 6:14 AM? 152 What is 117 minutes after 3:10 PM? 5:07 PM What is 636 minutes after 9:17 PM? 7:53 AM What is 142 minutes after 12:04 AM? 2:26 AM What is 360 minutes before 10:58 PM? 4:58 PM How many minutes are there between 9:26 AM and 8:38 PM? 672 How many minutes are there between 4:24 PM and 12:47 AM? 503 How many minutes are there between 6:03 AM and 10:01 AM? 238 How many minutes are there between 9:43 PM and 8:27 AM? 644 How many minutes are there between 8:46 PM and 3:24 AM? 398 How many minutes are there between 4:14 AM and 6:09 AM? 115 What is 270 minutes before 7:39 PM? 3:09 PM What is 665 minutes before 2:04 PM? 2:59 AM How many minutes are there between 2:11 PM and 4:18 PM? 127 What is 423 minutes before 8:52 AM? 1:49 AM How many minutes are there between 4:21 PM and 9:04 PM? 283 How many minutes are there between 9:00 PM and 4:03 AM? 423 How many minutes are there between 5:12 PM and 6:50 PM? 98 What is 372 minutes before 10:30 PM? 4:18 PM How many minutes are there between 3:11 PM and 4:41 PM? 90 What is 456 minutes after 8:19 AM? 3:55 PM What is 491 minutes after 10:37 AM? 6:48 PM What is 710 minutes before 1:24 PM? 1:34 AM What is 2 minutes after 2:53 PM? 2:55 PM How many minutes are there between 3:49 PM and 4:41 PM? 52 What is 388 minutes after 2:04 AM? 8:32 AM How many minutes are there between 11:30 AM and 11:16 PM? 706 What is 584 minutes after 9:12 AM? 6:56 PM How many minutes are there between 3:15 PM and 8:11 PM? 296 What is 468 minutes after 10:46 AM? 6:34 PM What is 386 minutes after 1:49 AM? 8:15 AM How many minutes are there between 12:16 PM and 1:06 PM? 50 How many minutes are there between 7:21 PM and 7:10 AM? 709 What is 423 minutes after 1:19 PM? 8:22 PM What is 309 minutes after 11:45 PM? 4:54 AM What is 270 minutes after 7:06 PM? 11:36 PM What is 688 minutes after 4:30 AM? 3:58 PM What is 538 minutes after 2:03 PM? 11:01 PM What is 191 minutes before 8:20 PM? 5:09 PM How many minutes are there between 5:53 AM and 5:55 AM? 2 What is 235 minutes after 8:40 PM? 12:35 AM How many minutes are there between 3:44 AM and 7:44 AM? 240 How many minutes are there between 12:29 PM and 11:21 PM? 652 How many minutes are there between 9:42 PM and 7:52 AM? 610 What is 504 minutes after 6:23 PM? 2:47 AM How many minutes are there between 12:45 PM and 8:35 PM? 470 How many minutes are there between 6:48 PM and 12:30 AM? 342 What is 54 minutes after 6:53 AM? 7:47 AM How many minutes are there between 6:51 AM and 5:22 PM? 631 How many minutes are there between 7:10 AM and 5:37 PM? 627 What is 419 minutes before 8:21 AM? 1:22 AM What is 76 minutes after 3:16 PM? 4:32 PM How many minutes are there between 3:52 PM and 8:16 PM? 264 How many minutes are there between 3:04 AM and 6:10 AM? 186 How many minutes are there between 10:36 AM and 12:05 PM? 89 What is 404 minutes after 3:17 AM? 10:01 AM How many minutes are there between 2:44 PM and 12:32 AM? 588 What is 152 minutes after 1:20 PM? 3:52 PM How many minutes are there between 7:36 PM and 9:20 PM? 104 How many minutes are there between 8:40 PM and 6:16 AM? 576 What is 69 minutes before 12:08 AM? 10:59 PM What is 159 minutes before 3:51 PM? 1:12 PM How many minutes are there between 7:54 AM and 4:57 PM? 543 What is 418 minutes after 12:42 AM? 7:40 AM How many minutes are there between 4:30 AM and 11:53 AM? 443 What is 664 minutes after 10:58 AM? 10:02 PM What is 584 minutes after 12:28 AM? 10:12 AM What is 596 minutes after 10:55 AM? 8:51 PM How many minutes are there between 4:31 PM and 10:24 PM? 353 How many minutes are there between 10:32 AM and 4:26 PM? 354 What is 609 minutes after 7:50 AM? 5:59 PM What is 373 minutes before 8:10 AM? 1:57 AM How many minutes are there between 12:54 PM and 1:48 PM? 54 How many minutes are there between 9:26 PM and 5:42 AM? 496 How many minutes are there between 2:03 AM and 3:03 AM? 60 What is 48 minutes before 1:06 AM? 12:18 AM How many minutes are there between 5:25 AM and 7:44 AM? 139 What is 692 minutes before 1:55 AM? 2:23 PM How many minutes are there between 12:22 AM and 10:56 AM? 634 What is 322 minutes before 2:50 AM? 9:28 PM How many minutes are there between 7:30 PM and 7:49 PM? 19 How many minutes are there between 12:14 PM and 11:42 PM? 688
{ "pile_set_name": "DM Mathematics" }
eatest common divisor of z and a. 8 Let d be ((-18)/(-4) - 2)/(14/28). Let k be ((-118)/(-295))/((-2)/(-5)). Calculate the highest common factor of k and d. 1 Let w = 37 - 17. Suppose 0 = -1269*a + 2458 + 48302. Calculate the highest common factor of w and a. 20 Let s = -11731 - -11739. Calculate the greatest common divisor of s and 1352. 8 Let b = -2868 - -2960. Calculate the highest common factor of 88 and b. 4 Let q be (15/12)/((-10)/(-40)). Suppose -2*r = 3*h - 641, q*h + 10*r = 6*r + 1065. Calculate the highest common factor of 62 and h. 31 Let i = 731 + -716. Let t = -137 - -332. Calculate the greatest common factor of i and t. 15 Suppose 139685 - 191067 = -26*b + 359288. What is the highest common divisor of 702 and b? 351 Suppose 158*v = 371719 + 18857. What is the greatest common divisor of v and 6? 6 Let f(v) = 13*v + 1235. Let k be f(-90). What is the highest common factor of 3484 and k? 13 Suppose 3*i = 119 + 7. Suppose 0 = 73*m - 8022 - 3220. What is the highest common divisor of m and i? 14 Let a(k) = 3*k - 30. Let v(f) = f**2 + 7*f - 60. Let p(i) = -5*a(i) + 3*v(i). Let t be p(-5). What is the highest common divisor of t and 255? 15 Let l(c) = 16*c + 3. Let s be l(6). Let f = -80 + -8. Let d be f/20*(-4)/((-16)/(-10)). What is the highest common factor of s and d? 11 Suppose -15*y + 11*y = -4*c - 1496, -5*c = -2*y + 760. Calculate the greatest common factor of 620 and y. 10 Let t be 1/(-5) + (-171)/95. Let b(w) = 53*w**2 - w + 1. Let f be b(t). Let v = f + -117. Calculate the highest common divisor of 14 and v. 14 Suppose -2*x - 2*v + 9 = -x, 0 = -4*x - 5*v + 21. Let c be (19 - 11)*x/(-2). Let n be (-4)/(-2) + 41 - -1. What is the greatest common divisor of c and n? 4 Suppose 0 = -23*r - 0*r + 2484. Calculate the highest common factor of 204 and r. 12 Let t = -366 + 370. Suppose -t*g = -2*g - 5*v - 54, 4*g + 2*v - 84 = 0. What is the highest common factor of 209 and g? 11 Let m(r) = r**3 + 42*r**2 + 408*r + 60. Let i be m(-25). What is the greatest common factor of 1552 and i? 97 Let y(o) = -5*o + 4. Let i be y(1). Let m be 24*(i/2)/((-6)/4). Suppose 3*f = m*f - 2*u - 65, 2*u = 0. What is the greatest common factor of 130 and f? 13 Let c be -4*4/(-80) + 9/5. Suppose 3*y - 16 = 14. Let a be y/(-4)*(-40)/25. Calculate the greatest common factor of c and a. 2 Suppose -5*y - 5*d = -y - 3773, 0 = y + 4*d - 924. What is the highest common divisor of y and 119? 119 Suppose -5*y + 2*j + 3*j = -330, -3*y - j = -194. Suppose 9*u + 5*q = 8*u + y, -3*u = 3*q - 219. Calculate the highest common divisor of 150 and u. 75 Let k be ((-14)/4)/((-5)/10). Let y(c) = -25*c - 148. Let r be y(-9). What is the greatest common divisor of r and k? 7 Suppose -3*g - 2*o = 1109, -1845 = 5*g + 24*o - 19*o. Let j = -357 - g. What is the greatest common factor of 406 and j? 14 Let t(r) = -r - 10. Let c(k) = k + 9. Let d(s) = -5*c(s) - 4*t(s). Let i be d(-10). Suppose i*g + g - 72 = 0. What is the highest common factor of g and 120? 12 Let r(x) = 2*x**2 + 39*x + 170. Let t be r(-29). Let s = -646 + t. What is the greatest common divisor of s and 125? 25 Let s(b) = -159*b - 2104. Let m be s(-14). Calculate the greatest common factor of 5551 and m. 61 Suppose -52*p = 3115 - 10551. Let u(g) = -3*g**3 - 4*g**2 - 4*g - 5. Let q be u(-3). What is the greatest common factor of q and p? 13 Let j(b) = b**2 - 2*b + 6. Let s be (-150)/(-39) - (-4)/26. Let p be j(s). What is the greatest common divisor of p and 154? 14 Let p = -7927 - -8572. What is the greatest common divisor of p and 430? 215 Let f(w) = -w**2 - 24*w + 1164. Let t be f(-48). Let j = 11 + -8. Suppose 0 = u - j*a - 20 - 19, 0 = 4*a + 20. Calculate the highest common divisor of u and t. 12 Let t(r) = r**2 + 1. Let p(o) = 4*o**2 - o - 6. Let g(l) = -p(l) + 6*t(l). Let h be g(6). Calculate the highest common divisor of h and 120. 30 Let x = 612 - 284. Let w = -218 + x. Suppose -3*m + 0*m + 30 = 0. Calculate the greatest common factor of m and w. 10 Suppose 2 = 5*b + 4*h, -3*h - 47 + 45 = 2*b. Let p be 49/((-3 + 4)/b). What is the highest common factor of p and 28? 14 Let b be 116/2 + (2 - 0 - 0). Let t(s) = -s**3 + 9*s**2 + 4*s - 11. Let w be t(9). Let y = -13 + w. Calculate the highest common factor of y and b. 12 Suppose -475*u - 29260 = -585*u. Calculate the highest common divisor of 50008 and u. 266 Let o = -9328 - -14306. What is the greatest common divisor of 114 and o? 38 Suppose -202 + 223 = -7*s. Let a be ((-75)/(-200))/(s + (-25)/(-8)). Calculate the greatest common factor of 33 and a. 3 Let j(q) = q**3 + 24*q**2 + 71*q - 6. Let h be j(-11). Calculate the greatest common factor of h and 12. 6 Let k = -2896 - -2962. What is the greatest common factor of k and 4620? 66 Let f = -1409 + 1850. Calculate the highest common factor of 189 and f. 63 Suppose 3*p - 33 = -5*b, -2*p + p = -2*b. Let t be (p + -82)*(3 + -2)*-1. What is the highest common factor of t and 342? 38 Suppose 28*o - 9*o + 342 = 0. Let j be 11532/27 - (-2)/o. Calculate the greatest common divisor of 61 and j. 61 Suppose 655*r - 662*r = -399. What is the highest common divisor of 38 and r? 19 Let g(u) = -6*u + 271. Let m be g(42). Let r(y) = 22*y**3 + y**2 - 5*y + 1. Let p be r(2). Calculate the greatest common divisor of p and m. 19 Suppose -2*r = 5*n - 9, 1 = 5*n - r - 2. Suppose 0 = -43*t + 56*t - 91. What is the greatest common divisor of n and t? 1 Suppose -550*h = -564*h + 1568. Calculate the highest common divisor of 574 and h. 14 Suppose -21*n + 10*n + 528 = 0. Let m = 60 - 24. Calculate the greatest common divisor of m and n. 12 Let g be 1 + -1 - 2 - -13. Let c(q) = -906*q + 4563. Let n be c(5). What is the greatest common divisor of g and n? 11 Let x be (-28)/(-28)*-2*(-19)/2. Let q(i) = 2*i**2 - i - 1. Let y be q(2). Let a = y + x. What is the highest common divisor of 6 and a? 6 Let n(c) = 20*c. Let p be n(3). Suppose -t = 2*t - p. Let v(g) = -2*g**2 - 204*g + 11826. Let h be v(-143). Calculate the greatest common divisor of t and h. 20 Let o be 10 - 1 - 225/(-15). What is the highest common factor of o and 824? 8 Suppose 8574*k - 4554 = 8568*k. What is the greatest common factor of k and 828? 69 Suppose 22*t + 39 = 35*t. Calculate the highest common factor of 573 and t. 3 Let i(k) = k**3 + 15*k**2 + 34*k - 12. Let c be i(-11). Suppose 7*b = 343 + c. Calculate the highest common factor of b and 18. 9 Suppose -36*f - 1658 = -3*h - 34*f, -4*h + 3*f + 2211 = 0. What is the greatest common divisor of h and 354? 6 Let k be -4 - (-39)/9 - 10/3. Let x be ((-5)/k*10)/((-45)/(-135)). What is the highest common factor of 20 and x? 10 Let j(i) = 4*i**2 - 53*i + 595. Let d be j(7). Let s be (-39)/(-4) + 4/16. Calculate the highest common factor of d and s. 10 Let v(k) = 1120*k**2 - 12*k + 3. Let t be v(-6). Let x be 60/(-27) + 2 - t/(-135). Calculate the greatest common divisor of 23 and x. 23 Let h(x) = -x**3 + 23*x**2 - 39*x - 20. Let k be h(20). Suppose -1368 - k = -17*n. What is the highest common divisor of n and 65? 13 Let s be 3/(-15) - 1024/(-20). Suppose -70 = -10*r + 100. Calculate the highest common divisor of s and r. 17 Let v = -95 + 119. Let n = -29 - -257. Let z = n - 132. What is the highest common factor of z and v? 24 Suppose y + 17 = 115*o - 120*o, 104 = 5*y - 2*o. Calculate the greatest common factor of y and 17478. 18 Let j(c) = 10*c**3 + c**2 - c - 1. Let u be j(-1). Let n = 11 + u. Let b be (1 - n)/1 - -27. Calculate the highest common factor of 13 and b. 13 Suppose -2*f - 5*d = -7*d - 46, 37 = 2*f + d. What is the greatest common divisor of f and 215? 5 Let g be (60/16)/(-5) + 15/(-12). Let d = 152 - g. Calculate the greatest common divisor of d and 22. 22 Let q(g) be the first derivative of -2*g**2 - 4*g - 17. Let k be q(-3). Suppose -k = -4*w, -2 = n - 0*n - 5*w. What is the highest common divisor of 8 and n? 8 Suppose -3*z = 3, -z - z = -3*w + 74. Suppose -7*n + 433 = 55. Calculate the highest common factor of n and w. 6 Suppose 5*w = -21*w + 1638. Suppose -w = -10*a + 77. Let l be 3/(3*(-3)/(-378)). Calculate the greatest common divisor of a and l. 14 Let l = -269 - -269. Suppose c + 4*h - 44 = -h, l = -5*c + h + 220. What is the greatest common factor of 176 and c? 44 Let c(v) = -94*v + 708. Let k be c(6).
{ "pile_set_name": "DM Mathematics" }
r? 9200 How many millilitres are there in 1/4 of a litre? 250 What is 7.648078 decades in centuries? 0.7648078 What is one twentieth of a litre in millilitres? 50 How many kilograms are there in 29/5 of a tonne? 5800 What is 6.62665 hours in minutes? 397.599 How many nanometers are there in 86.88017km? 86880170000000 How many centimeters are there in 895012.3 kilometers? 89501230000 Convert 480.04 milligrams to grams. 0.48004 What is fifty-two thirds of a hour in minutes? 1040 How many grams are there in twenty-nine halves of a kilogram? 14500 How many nanoseconds are there in 8/25 of a microsecond? 320 What is three eighths of a tonne in kilograms? 375 How many litres are there in 42.2539 millilitres? 0.0422539 How many millilitres are there in 13/5 of a litre? 2600 What is eighteen fifths of a micrometer in nanometers? 3600 How many centuries are there in 114445.9 millennia? 1144459 How many millilitres are there in 1882.372 litres? 1882372 How many millimeters are there in 18/5 of a centimeter? 36 What is 48801160.8ns in weeks? 0.00000008068975 How many seconds are there in 881.4075 minutes? 52884.45 Convert 35097.72 months to years. 2924.81 What is 77.04015 days in minutes? 110937.816 Convert 28.412361s to hours. 0.0078923225 What is 13/5 of a millennium in centuries? 26 What is 17/2 of a millimeter in micrometers? 8500 How many millilitres are there in 99371.94 litres? 99371940 How many millimeters are there in 3/5 of a meter? 600 What is 810415.2 milligrams in micrograms? 810415200 What is 969.1228 milligrams in grams? 0.9691228 What is 88.47761ng in kilograms? 0.00000000008847761 Convert 269560.2 tonnes to milligrams. 269560200000000 What is 88.19664 nanometers in millimeters? 0.00008819664 How many millilitres are there in 11/2 of a litre? 5500 How many millilitres are there in 25/4 of a litre? 6250 What is fourty-four fifths of a century in years? 880 What is 1.5887841ms in minutes? 0.000026479735 How many millilitres are there in 6/5 of a litre? 1200 How many months are there in eight thirds of a millennium? 32000 How many millilitres are there in 13/8 of a litre? 1625 What is 83.2931 litres in millilitres? 83293.1 What is 3/5 of a litre in millilitres? 600 Convert 0.9763335 centimeters to meters. 0.009763335 How many micrometers are there in 21/8 of a millimeter? 2625 How many millilitres are there in 3099.56 litres? 3099560 How many hours are there in 84934.242s? 23.592845 How many millennia are there in 25255.959 months? 2.10466325 How many millilitres are there in twenty-five eighths of a litre? 3125 What is 25/4 of a meter in millimeters? 6250 Convert 62913.9 micrograms to kilograms. 0.0000629139 How many millilitres are there in 5/4 of a litre? 1250 How many grams are there in 590.5837mg? 0.5905837 How many nanograms are there in 52.82585 grams? 52825850000 What is twenty-seven fifths of a gram in milligrams? 5400 What is 1/4 of a week in minutes? 2520 What is 0.6000601 kilometers in centimeters? 60006.01 What is three tenths of a millimeter in micrometers? 300 Convert 27774.86l to millilitres. 27774860 Convert 2831.755 kilograms to nanograms. 2831755000000000 What is 8948.274ml in litres? 8.948274 How many micrometers are there in 919652.3 centimeters? 9196523000 What is 9.62153 millilitres in litres? 0.00962153 How many hours are there in 3/7 of a week? 72 How many millilitres are there in 3/40 of a litre? 75 What is 4994.69cm in millimeters? 49946.9 What is thirteen fifths of a millennium in decades? 260 How many centimeters are there in 6/5 of a meter? 120 What is 0.837112g in tonnes? 0.000000837112 What is 38880.89 days in nanoseconds? 3359308896000000000 What is 73.31842 nanoseconds in milliseconds? 0.00007331842 What is 90068.2 centimeters in meters? 900.682 What is 7/6 of a hour in seconds? 4200 What is 726.072 decades in years? 7260.72 How many nanometers are there in one fifth of a micrometer? 200 How many months are there in seventeen quarters of a year? 51 What is three fifths of a litre in millilitres? 600 What is 7.713723 millennia in months? 92564.676 How many milligrams are there in one sixteenth of a kilogram? 62500 Convert 6.150453 millilitres to litres. 0.006150453 How many years are there in 7272.385 centuries? 727238.5 What is 7/4 of a kilometer in meters? 1750 What is 7/6 of a year in months? 14 What is 6.40432 kilograms in grams? 6404.32 How many millilitres are there in 127.3965 litres? 127396.5 What is 8732.641 meters in centimeters? 873264.1 What is 1092.982 days in milliseconds? 94433644800 How many decades are there in seven halves of a millennium? 350 How many micrometers are there in 176022.8 kilometers? 176022800000000 Convert 180741.06 months to years. 15061.755 What is fifteen quarters of a microgram in nanograms? 3750 Convert 24.87947 millennia to years. 24879.47 What is 17425.242 months in decades? 145.21035 How many micrometers are there in 21/8 of a millimeter? 2625 How many kilometers are there in 37.8626cm? 0.000378626 What is 0.6394292mg in nanograms? 639429.2 How many millilitres are there in 90354.16l? 90354160 How many nanograms are there in 1/4 of a microgram? 250 What is 7/4 of a micrometer in nanometers? 1750 What is 26/5 of a century in months? 6240 What is 55/4 of a tonne in kilograms? 13750 How many millilitres are there in 0.9052872l? 905.2872 What is 27/4 of a litre in millilitres? 6750 What is 0.7525954 litres in millilitres? 752.5954 Convert 143249.8473 microseconds to weeks. 0.00000023685490625 What is thirteen quarters of a century in months? 3900 How many months are there in 28/15 of a decade? 224 How many milligrams are there in 3/25 of a gram? 120 What is three fifths of a litre in millilitres? 600 How many centimeters are there in 1/10 of a meter? 10 How many micrometers are there in 6395.491nm? 6.395491 How many milliseconds are there in 798.3172 hours? 2873941920 What is 949.3989 tonnes in kilograms? 949398.9 What is 88.55209mm in micrometers? 88552.09 How many grams are there in 1/10 of a kilogram? 100 What is 11/8 of a kilometer in meters? 1375 How many centimeters are there in three fifths of a meter? 60 What is eleven quarters of a litre in millilitres? 2750 How many decades are there in 0.1179201 months? 0.0009826675 What is 292.2378 litres in millilitres? 292237.8 How many nanoseconds are there in 2254.76 weeks? 1363678848000000000 How many grams are there in 3/25 of a kilogram? 120 How many milligrams are there in 51.76051 tonnes? 51760510000 What is 0.6739487ml in litres? 0.0006739487 What is 9539.362 centimeters in kilometers? 0.09539362 Convert 554.0534 millennia to months. 6648640.8 How many meters are there in 32/5 of a kilometer? 6400 What is 68411.58 years in millennia? 68.41158 How many decades are there in 42/5 of a century? 84 How many milligrams are there in 53/4 of a gram? 13250 How many milligrams are there in 3/32 of a kilogram? 93750 How many millilitres are there in 0.3373848 litres? 337.3848 What is three eighths of a centimeter in micrometers? 3750 What is 840067.4 years in months? 10080808.8 Convert 6270.76 micrometers to centimeters. 0.627076 How many millilitres are there in 5125.431l? 5125431 What is 415274.5 minutes in nanoseconds? 24916470000000000 How many millilitres are there in 13/5 of a litre? 2600 What is 5.185644 decades in centuries? 0.5185644 What is fifty-seven fifths of a century in years? 1140 What is four thirds of a century in months? 1600 Convert 98619.51 millilitres to litres. 98.61951 What is 1/4 of a century in years? 25 Convert 0.0885137cm to micrometers. 885.137 What is 78644.25cm in kilometers? 0.7864425 Convert 4656.027t to nanograms. 4656027000000000000 How many microseconds are there in 0.5266025 days? 45498456000 How many micrometers are there in three fifths of a centimeter? 6000 Convert 46260.32ug to kilograms. 0.00004626032 Convert 800.727 months to decades. 6.672725 Convert 51193.34 litres to millilitres. 51193340 How many seconds are there in 40.6204 hours? 146233.44 What is fifty-five quarters of a century in months? 16500 How many micrograms are there in 1516.542t? 1516542000000000 What is 6728.68 litres in millilitres? 6728680 How many millilitres are there in 685640.8l? 685640800 How many millisecon
{ "pile_set_name": "DM Mathematics" }
= 3*c - 0*c - i, -8 = -4*i. Solve -c*q + 0 - 2 = 0 for q. -1 Let i = -1 + 8. Let a be (-6)/(-7)*i/(-1). Let n be (-3)/(-9) + (-4)/a. Solve -n + 7 = 2*t for t. 3 Suppose -10*n + 24 = -6*n. Let i be (2/3)/((-1)/(-3)). Suppose 115 = d + 4*d - i*h, 0 = 3*d - 3*h - 60. Solve d = -n*r + r for r. -5 Let x(y) = 3*y + y - 3*y. Let p be x(3). Let t(r) = -r. Let l be t(-5). Solve l = 2*o + p for o. 1 Let t be 0/(1/((-4)/(-8))). Solve t*f + 4 = -2*f for f. -2 Let h be (24/84)/((-1)/(-7)). Solve -1 = -k + h for k. 3 Suppose 0 = -2*p + 5*u - 5, 0*p - u = -2*p + 7. Let q(z) = -3*z - 1 - 2*z**2 + 0*z**2 + z**2. Let d be q(-2). Solve 2*a + p = d for a. -2 Suppose -2*q + 5 = 4*k - 17, 0 = 2*k - 4*q + 14. Solve -s + 2 = k for s. -1 Let d(y) = -2*y - 30. Let r be d(-15). Solve r = -4*s + 2*s + 10 for s. 5 Let d = 5 + -3. Let f be 0 + d/2 + -1. Solve k + 3*k = f for k. 0 Let o = 58 + -39. Solve -4*f - o = -3 for f. -4 Let s(w) be the second derivative of -w**4/12 - 4*w**3/3 + 6*w**2 + 2*w. Let r be s(-9). Suppose 5*l = 4*h - 27, -r*h - 5*l = -0*h + 6. Solve -i = h*i for i. 0 Let r = -5 - -5. Suppose r = 3*b - 12 - 9. Solve b*z = 3*z for z. 0 Let t = 29 + -24. Solve m = t - 1 for m. 4 Let q = 16 - 26. Let t be 21/6 + 5/q. Solve -8 = 5*d - t for d. -1 Let y = -22 - 14. Let b = y + 54. Let i be 81/b + (-1)/2. Solve 3*v - 4*v + i = 0 for v. 4 Suppose -3*w = -5*l - 5*w + 42, -1 = -w. Let k be (-40)/5 + -2 + 3. Let f = l + k. Solve f = -p + 3 for p. 2 Let v be 6*((-1)/2 + 1). Solve 0*a + v*a = -12 for a. -4 Let u(k) = k**3 + 3*k**2 + k + 1. Let z be u(-2). Solve z*g - 14 = 1 for g. 5 Let c be 204/42 + 1/7. Solve -v = c - 1 for v. -4 Let j be (-1)/((-5)/2) + (-6)/15. Solve y + j = 2 for y. 2 Let x be 1*4*(-3 + 5). Let j = -4 + 6. Solve 4*n + x = j*n for n. -4 Suppose 77 = z - 5*s, -z + 0*s = s - 47. Suppose n + 4*n - z = -4*u, 2*n - 52 = -4*u. Solve 0 = 3*r + 4 - u for r. 3 Suppose 0*n - 4*n - 16 = 0. Let w = 11 - n. Solve -4*g = w + 1 for g. -4 Suppose -3*m + 6 = -4*p, 0*m = -4*p - m + 2. Let a(c) = -c**2 + c + 2. Let w be a(p). Solve w*o + o = -6 for o. -2 Suppose -h + 20 = -3. Let o = 29 - h. Solve -o*c + c - 15 = 0 for c. -3 Suppose -2*t - 2*t - 120 = 0. Let n be (16/20)/((-2)/t). Solve -n = 2*w + w for w. -4 Suppose 5*n = -0*n + 40. Suppose -2*v - n = -3*v. Suppose k = -k + v. Solve -k*t - 11 = -27 for t. 4 Let q(h) = -h**3 - 4*h**2 + 4*h - 1. Let o be q(-5). Suppose -2*w + o = -w. Let i(f) = 5*f. Let s be i(1). Solve 0 = -3*x + w*x - s for x. 5 Let d = -14 + 14. Solve d = 5*m - 11 + 1 for m. 2 Let x(s) = s + 1. Let g be x(0). Let b = 1 + -4. Let w = 7 + b. Solve n - w = g for n. 5 Suppose -4*o + 6 = -o, 19 = 3*c + 2*o. Solve -2*m + c = -1 for m. 3 Let p = 14 - 12. Suppose p*a - 4 = a. Solve -a*t = t for t. 0 Suppose -4*f - 2 = -10. Solve f*h - 4*h - 6 = 0 for h. -3 Let d(k) = -k**3 + 21*k**2 + 25*k - 32. Let o be d(22). Solve 5*c = -9 + o for c. 5 Let k be (28 - 13)/(((-2)/(-1))/2). Solve k = 2*b + 5 for b. 5 Let q(y) be the first derivative of -y**4/4 - 3*y**3 - 4*y**2 + 2*y - 7. Let g be q(-8). Solve -u - 3 - g = 0 for u. -5 Let m = 4 - 3. Let p = 3 + -2. Let u be p/2*20/m. Solve -j + u = j for j. 5 Suppose 0 = 3*s - 12*s + 27. Solve -3*f + s = -0 for f. 1 Let c(w) = -w + 23. Let u be c(10). Solve -3 + u = -2*k for k. -5 Suppose 0 = c + c. Suppose -4*n + 6*n - 10 = c. Solve -n*r + 5 = -5 for r. 2 Let u(d) = -5*d - 4*d - d**2 + 14 + 5*d. Let i be u(-6). Solve -4*r + i*r + 4 = 0 for r. 2 Let f(k) be the third derivative of k**4/24 + 7*k**3/6 - 3*k**2. Let c be f(0). Solve -5 = -4*h + c for h. 3 Suppose -2*g + 6 = -0*g. Suppose 4*i - 4*n = 32, -5*i - 2*n = -4*n - 43. Solve -g*o = 24 - i for o. -5 Let q = 13 + -11. Suppose 4*n + 14 = -q*w, -5*w + n + 25 = -n. Solve -2 - w = z for z. -5 Suppose l = 4*w + 2, 5*w + l = -3 - 4. Let g be (-2 - -2)*w - -7. Suppose -f + 1 = -g. Solve -f + 0 = -4*d for d. 2 Let m(q) = -2*q**3 - 2*q**2 + 9*q + 4. Let k(i) = i. Let h(r) = -4*k(r) + m(r). Let y be h(-3). Solve -2*u + y = 3*u for u. 5 Suppose 2*j = 2*q - 0 + 8, 4*q + 2*j = 8. Suppose 5 = 2*h - 3*o, 0 = -q*h - 4*h - 4*o. Suppose -9 = i + 5*a, a = -5*i - h + 4. Solve -f + 0 = i for f. -1 Let y(t) = t**3 - 4*t**2 + t. Let n be y(4). Let k be 3 + -2 + (-3)/(-3). Suppose -k*l = -3*l + 3. Solve n = -2*a + l*a for a. 4 Let y(n) = 3*n**3 - 2*n**2 - 7*n**3 + n**3 + 2 + 6*n + 2*n**3. Let w be y(-4). Solve w = -a - a for a. -5 Suppose 2 - 8 = -f. Suppose 0 = 5*i - f + 1. Let v be i/(-2)*(-4 + 4). Solve v = 4*x - 4 - 16 for x. 5 Let a be 3*((-28)/12 + 3). Let d(p) = 2*p**3 - 4*p**2 + 3*p - 2. Let w be d(a). Solve 8 + w = -3*q for q. -4 Let f = 0 - -5. Suppose 5*o + 2*l - 21 = 0, 5 = f*l - 10. Solve o*v = -2*v for v. 0 Suppose -2*l - 3*z + 1 = -4*l, 2*l + z = 11. Solve l*r - 19 = 1 for r. 5 Let k be (7 - 1)/2 - -3. Solve 2*d = k*d + 20 for d. -5 Let k(a) = 9*a - 18. Let l(p) = -4*p + 9. Let u(h) = 2*k(h) + 5*l(h). Let z be u(4). Solve z = -b - 1 for b. -2 Let f(a) = -a - 10. Let h be f(-14). Solve h*j + 18 = 2 for j. -4 Suppose -50 = -2*p - 0*p + 3*s, 5*p = 5*s + 120. Let o = -12 + p. Let d = -7 + o. Solve d*a + 10 = 5*a for a. 5 Let b(w) = -3*w - 3*w**2 + 2*w**2 - 1 + w. Let q be b(-1). Suppose q*j = j - 3. Solve j*f + 2*f + 15 = 0 for f. -3 Suppose -2 = -g, u + 0*u - 5*g + 8 = 0. Let r(d) = d**3 - 9*d**2 + 9*d - 7. Let c be r(8). Solve c + u = a for a. 3 Suppose 4*b - 83 = -23. Let g(w) = 3*w. Let y(r) = -10*r - 1. Let j(x) = -7*g(x) - 2*y(x). Let v be j(-3). Solve -v*n + 0 = -b for n. 3 Suppose -5*k + 64 - 19 = 5*n, 3*k + 4*n = 29. Solve s + 6 - k = 0 for s. 1 Let w be (-1)/(-1)*(-1 - -6). Solve 4*o + w = -o for o. -1 Let c be (-3)/6 + 42/12. Solve 0*p - p = -c for p. 3 Suppose -y = d - 8, 0 = 2*y - 5*d - 0*d + 19. Suppose -j + 4*j + y*c - 15 = 0, 25 = 3*j + 5*c. Solve j = -3*p - 0*p for p. 0 Let p = 119 + -114. Solve -4 = -p*w + 1 for w. 1 Let m(i) = i + 6. Let f(s) = 1 - s + 5 + 0 - 5. Let q be f(5). Let y be m(q). Solve 17 = -5*k + y for k. -3 Let d(z) = -z - 1. Let p be d(-4). Solve 0 = -p*a + 1 + 14 for a. 5 Let n(z) = z - 2. Let t(l) = 1. Let s(a) = n(a) - 4*t(a). Let o be s(6). Let u = 6 + -3. Solve o*b - u = -b for b. 3 Let a(z) = z - 13. Let g be a(18). Solve -21 = g*k - 1 for k. -4 Let p(i) = -i**2 + 7*i - 2. Let j be p(6). Suppose 2*v = -2*a - 6, 3*a + 13 = j*v + 2*a. Solve v*f - 15 = -3*f for f. 3 Suppose -1 + 16 = 3*w + 3*b, -w + 3*b + 1 = 0. Solve 3*n = w*n for n. 0 Let r = -1 + 8. Let l be (-2)/2*(r + -7). Solve l = -2*y + 11 - 3 for y. 4 Suppose -4 - 26 = -6*j. Let y be -1*(2 - 7) - 2. Suppose 0*n - 5*n + 10 = 0. Solve j*b - y*b = n for b. 1 Suppose 0 = -4*b - b + 205. Suppose 0 = -5*z - 3*a + 80, -5*z + 3*z + b = 3*a. Let t = z + -8. Solve -5*f + t = -10*f for f. -1 Let m be ((-12)/(-10))/((-12)/(-40)). Suppose -2*k + 16 + 2 = 0. Let x be (k/4)/((-2)/(-8)). Solve w - m*w = -x for w. 3 Let i(y) = y**2 - 11*y - 9. Let d be i(12). Solve 0 = 2*m + 1 - d for m. 1 Let d(z) = 10*z - 10. Let r be d(3). Solve -5*l - r = -l for l. -5 Let m(q) be the third derivative of -q**5/60 + 11*q**4/24 - q**2. Let t be m(11). Solve -3*c + 0*c = t for c. 0 Suppose 2*q + 5*t + 0 = 26, 2*q = 3*t - 6. Suppose 5*m - 5 = -0*m - 2*j, -j = -5*m - 10. Let s be (5 - m)/(6/8). Solve -g - q*g = -s for g. 2 Suppose 0*o = -4*o. Suppose -2*x - x = o. Solve x = -0*z + 5*z - 15 for z. 3 Let o(z) = -z**3 + z + 4. Let y be o(0). Solve 29 - y = 5*a for a. 5 Suppose 60 = 21*l - 17*l. Solve 7*s + l = 2*s for s. -3 Suppose -2*m + 4*m = 22. Suppose 1 = 3*l - m. Solve 0 = -l*v - 21 + 1 for v. -5 Let u = 17 - 8. Let f(s) = 2*s + 14. Let v be f(-9). Let d = v + u. Solve -2*j + j = d for j. -5 Suppose -5*y + 65 = 5*f, -2*f + 6*f = -2*y + 28. Let k be y/30 + (-13)/(-5). Suppose 2*g - 31 = -2*l - k*g, -5*g = 3*l - 34. Solve -7 = -l*a + 2 for a. 3 Let o(n) = 2*n - n + 4 + 3 - 5. Let i be o(3). Let p = 11 - i. Solve -h - p = h for h. -3 Let s(f) = -19*f + f**2 + 17*f + 2 - 1. Let d be s(3). Solve d - 5 = -w for w. 1 Let g(l) = 2*l + 28. Let o be g(-13). Solve o*m - 3 = m for m. 3 Let s = 8 + -5. Suppose -15 = -s*n - 0*n. Let p be 35/42 + (-2)/(-12). Solve p = n*z - 4*z for z. 1 Suppose -15 = 3*m - 0*m - 3*a, m - 2*a = -2. Let l = 9 + m. Solve l + 1 = -s for s. -2 Let j be (-6)/(-4)*(-8)/6. Let f(b) = b**3 + 2*b**2 + b
{ "pile_set_name": "DM Mathematics" }
prime factors of c(t)? 2 Let q(h) = 9*h**2 - 15*h + 11. Let o(t) = 4*t**2 - 7*t + 5. Let b = 13 - 26. Let l(c) = b*o(c) + 6*q(c). What are the prime factors of l(-1)? 2 Let b(l) = -l + 4. Let i be b(2). Suppose i*j = -2*j + 48. What are the prime factors of j? 2, 3 Let a = 390 + -90. What are the prime factors of a? 2, 3, 5 Suppose -8 = -2*l - 2*l. Suppose v + 4*t = -5, 0 = 3*v - 3*t + l*t + 54. Let j = -8 - v. What are the prime factors of j? 3 Suppose -6 + 116 = 5*w. What are the prime factors of 356/w - (-2)/(-11)? 2 Let l(g) be the second derivative of g**5/10 - g**4/12 - g**3/6 - g**2 - g. Let j be l(2). Let o = -5 + j. What are the prime factors of o? 3 Let s be (-4)/(-18) + (-4)/18. Let v = 16 - 17. List the prime factors of 0 - (s + -1 + v). 2 Let s(b) be the first derivative of -b**4/4 + b**3 + 7*b**2/2 - 6*b - 3. Suppose -2*u - u = -12. List the prime factors of s(u). 2, 3 Suppose m = -3*z + 15, -10 = -2*z + 2*m - m. Suppose -68 = -z*q - 3. List the prime factors of q. 13 Let o be ((-4)/6)/(2/(-489)). Suppose -5*m + o = -4*t, -2*m + 3*t + 4 + 64 = 0. Let w = -17 + m. What are the prime factors of w? 2, 7 Let n be (-35)/(-11) + (-6)/33. Let h = 7 - n. List the prime factors of h. 2 Let f = -9 - -13. Suppose p + 153 = 3*u + f*p, -2*p + 196 = 4*u. What are the prime factors of u? 47 Let l = 33 + -11. What are the prime factors of l? 2, 11 Suppose n = -1 - 2. Let k(t) = t**3 + 4*t**2 + t - 3. Let d be k(n). Suppose 3*r - 3*u = 27, 2*u + u = -d*r + 15. List the prime factors of r. 7 Let k = 224 - 69. List the prime factors of k. 5, 31 What are the prime factors of ((-89)/5)/(9/(-90))? 2, 89 Let h(c) = -c + 1. Let y be h(7). Let v = y + 28. List the prime factors of v. 2, 11 Let j = 48 - 25. List the prime factors of j. 23 Let w(r) = -r**3 - 6*r**2 + r + 6. Let j be w(-6). Let z = 32 + j. Suppose 2*y + 2*n - 24 = -0*y, -z = -3*y - 2*n. List the prime factors of y. 2 Suppose -4*l - 4 = 0, o + 4*o - 5*l = 35. Let z(n) = n**3 - 4*n**2 - 9*n + 5. List the prime factors of z(o). 23 Suppose -k + 9 = 2*k. List the prime factors of k + 0 + -3 - -6. 2, 3 Suppose 0 = -4*v + 43 - 7. List the prime factors of v. 3 Let q be (12/15)/(2/5). Suppose -3*m = 5*g - 17 - 8, q*m + 25 = 5*g. Suppose 5*h - 3*f - 39 = m, 2*f = -2*h - 2*f. What are the prime factors of h? 2, 3 Suppose -21 = -4*f + 55. Suppose f = h + 2*x, 0 = -x + 2. List the prime factors of h. 3, 5 Let t(u) = -u**3 - 4*u**2 + 8*u - 4. Let c be t(-6). Suppose -a + c = a. List the prime factors of a. 2, 5 Suppose -2*n + 64 = -n. List the prime factors of n. 2 Let o = 7 - 5. Suppose -y - 54 = -o*t, 5*t - 96 = t - 4*y. Suppose -5*x + 3*x = -t. List the prime factors of x. 13 Suppose -4*z + 0*z + 108 = 0. Let k = z - 18. What are the prime factors of k? 3 Suppose 2*z - 3*w + w - 26 = 0, 4*w + 20 = 0. Let l(r) = -z + 4*r**2 + 5*r - 4*r**2 + r**2. What are the prime factors of l(-7)? 2, 3 Let h be (0 + -2)*-1*2. Suppose -h*b + 14 = -14. Let w = -1 + b. What are the prime factors of w? 2, 3 Let y be (-2)/(0 + (-4)/54). Let a(i) = i**3 - 13*i**2 + 4. Let k be a(13). Suppose 2*c + k*g = -6, 3*g + y = 4*c + 6. What are the prime factors of c? 3 Let g(l) = l + 8. Let t be g(-6). Let b(r) be the third derivative of r**5/30 + r**4/24 - r**3/3 - r**2. List the prime factors of b(t). 2 Let n be (3 - 77/(-5))*5. Suppose h = -3*h + n. Suppose -3*k + h - 8 = 0. List the prime factors of k. 5 Let j = -3 - 9. Let c = -1 - j. What are the prime factors of c? 11 Let q(z) = -z - 1. Let u be q(-3). Suppose -u*w - 95 = -7*w. List the prime factors of w. 19 Suppose -4 = -2*d, -3*u - 4*d = -u - 24. Let r be ((-4)/u)/((-2)/12). Suppose 6 = -0*s + r*s. List the prime factors of s. 2 Suppose 6*i + 49 - 211 = 0. List the prime factors of i. 3 Let c(t) = 2*t**2 - 4*t + 2. Let q be -1*(-1 + 0 + -2). List the prime factors of c(q). 2 Suppose -146 = 2*d + 2*x, -x = -d - 7 - 60. What are the prime factors of 3/6 + d/(-4)? 2, 3 Suppose 5*k - 6 = 64. Suppose -k - 6 = 4*g. Let w = -1 - g. List the prime factors of w. 2 Suppose -5*q + 2*z - 38 + 4 = 0, 4*z + 36 = -3*q. Let y = q - -148. What are the prime factors of y/18 - 4/(-18)? 2 Let x be (3 - 0)/(12/44). Let a = x - -3. List the prime factors of a. 2, 7 Let i(a) be the first derivative of a**3/3 - 7*a + 1. What are the prime factors of i(-6)? 29 Let p(g) = g**2 + 7*g - 3. Let x(z) = -11*z + 4. Let h be x(-3). Suppose -n - 2*o + 30 = -4*n, 0 = 5*n + o + h. List the prime factors of p(n). 5 Suppose -4*a = -2*t - 700, -3*a + 4*t = -0*t - 520. What are the prime factors of a? 2, 11 Suppose 5*j = 15, r + 83 = 2*j + 3*j. Let u = 121 + r. What are the prime factors of u? 53 Let j = -53 + 92. List the prime factors of j. 3, 13 Suppose 49*z + 606 = 51*z. What are the prime factors of z? 3, 101 Suppose 3*d + 2*m - 8 = 0, 5*d + 2*m - 3*m = 22. Suppose 31 = 5*y - a, -3 = -a - d. List the prime factors of y. 2, 3 Let j(h) = -2 - 5*h + 19*h**2 + 3 + 1. Let d be j(3). List the prime factors of d/18 + 4/18. 3 Let n(a) = 4*a**2 - 3*a - 2. Let v be n(-2). Suppose 0 = k - 5*k + v. Suppose -l = -k*w + l + 44, 3*l = -5*w + 34. List the prime factors of w. 2 Suppose -112 = -7*h + 3*h. List the prime factors of h. 2, 7 Let r(q) = -2*q**2 - 6 + 2*q + 3*q**2 - 3*q**2 + 3*q**2. Let c be r(-5). What are the prime factors of 6/(-27) + 119/c? 13 Let y = 75 + -1. What are the prime factors of y? 2, 37 Let t = 13 + -11. Suppose -g + 5*g - t*m - 102 = 0, 2*g + 2*m = 42. List the prime factors of g. 2, 3 Suppose -4*t + 56 = -0*t. Suppose 2*x - t = -3*y, -3*y + 0*x = -x - 11. Suppose -5*c - v + 118 = 0, 4*c + 0*v = -y*v + 104. What are the prime factors of c? 23 Let o be -2*5*(-2)/4. Let a(m) = m**2 - 2*m + 1 - 4*m + 2*m. List the prime factors of a(o). 2, 3 Let v be 7/((-3 - 0)/3). List the prime factors of ((-7)/2)/(v/14). 7 Let s(n) be the first derivative of 2*n**2 - 7*n + 9. Suppose 5*g = 25 + 5. List the prime factors of s(g). 17 Let h(y) = -3*y**3 - y - 40. Let g(a) = 10*a**3 + 3*a + 119. Let x(o) = -2*g(o) - 7*h(o). Let q be x(0). What are the prime factors of (-108)/(-14) - (-12)/q? 2 Let t(f) be the first derivative of -f**4/4 - 11*f**3/3 - 5*f**2 + 12*f - 5. What are the prime factors of t(-10)? 2, 3 Let i(p) = -2*p**2 + 9*p - 7. Let h be i(6). Let c = 49 + h. What are the prime factors of c? 2, 3 Suppose -z + 8 + 86 = 0. Suppose -3*u = -z + 25. List the prime factors of u. 23 Let i be -1*(9/3 + -3). Suppose 0*o - o + 5 = i. List the prime factors of 3/(-6) - o/(-2). 2 Let y(n) be the second derivative of -1/20*n**5 + 3*n - 1/3*n**4 + 3/2*n**2 + 0 + 0*n**3. List the prime factors of y(-4). 3 Suppose -8*z = -0*z - 280. List the prime factors of z. 5, 7 Let x = -20 - -11. Let d be 4/(-18) + 70/x. Let m = -5 - d. What are the prime factors of m? 3 Let b be 2 + 1*-2 - -1. Let g = b - -4. Suppose g + 3 = 4*y. List the prime factors of y. 2 Suppose 3 = 5*y - 17, -l + 43 = y. List the prime factors of l. 3, 13 What are the prime factors of 2*(420/8)/5? 3, 7 Let u(h) be the third derivative of h**6/120 + h**5/10 + 7*h**4/24 + 7*h**3/6 - 3*h**2. Let m be u(-5). What are the prime factors of 1/m + 52/12? 2 Let g be ((-2)/(-8))/((-5)/(-20)). Let a(m) = 10*m**2 + m. What are the prime factors of a(g)? 11 Suppose 3*u + 1170 = 12*u. What are the prime factors of u? 2, 5, 13 Suppose 5*o = 3*o - 18. Let r(a) = 20*a**2 + 4*a - 50. Let j(d) = 7*d**2 + d - 17. Let g(n) = -17*j(n) + 6*r(n). List the prime factors of g(o). 7 Suppose -3*l = -0*l + 39. Let u = 20 + l. What are the prime factors of u? 7 Let l = 19 + -5. Let u be (-7)/l*(-100)/2. Let s = u - 11. What are the prime factors of s? 2, 7 Let z = 0 + -1. Let w = 5 - 6. List the prime factors of (w/z)/((-1)/(-3)). 3 Let x be (2 + 4)*(16 + 0). Suppose 2*z - 144 = -5*p - 17, x = 4*p - 4*z. Suppose -3*c = -8*c + p. List the prime factors of c. 5 Let l(u) = 25*u**3 - 2*u**2 + u - 4. What are the prime factors of l(2)? 2, 5, 19 Suppose -12*r = -14*r + 416. List the prime factors of r. 2, 13 Let d(c) = c**3 - 5*c**2 + 2*c - 6. Let r be d(5). Let u be 197/(-2) + (-2)/4. What are the prime factors of (-1)/r - u/12? 2 Suppose 2*b = -3*k - 9, 3*b + 15 = b + 3*k. What are the prime factors of -2 - -16 - b/2? 17 Suppose 0 = -5*u - 20, -r + 10 = -u - u. Suppose -r*p + 65 = -
{ "pile_set_name": "DM Mathematics" }
0*y**3 + 2*y**4 - 1 + 74*y in the form w*y**4 + u + m*y + s*y**2 + d*y**3 and give u. -1 Express -229 + 6*b + 55 - 3*b**2 + 52 + 81 + 67 as g*b**2 + d*b + y and give d. 6 Rearrange -20509*a + 41022*a - 20514*a + a**2 + 2232*a**3 to u*a**2 + r*a + q + v*a**3 and give r. -1 Rearrange (-2*v + 7*v - 4*v)*(-3406 + 380 - 1906)*(2 + 1 - 1) to the form r + f*v and give f. -9864 Rearrange 90*q + 3 - 252*q - 12 - 6 + 77*q to the form u + t*q and give t. -85 Rearrange 1354115 + 9719*c**3 - 1354115 + c to the form w*c**2 + g*c**3 + q*c + z and give q. 1 Rearrange 2*s - 1 + 1 + (-1 + 2*s + 1)*(13 + 1 + 8) + (2*s - 4*s + s + (2 + s - 2)*(-4 - 3 + 6) + 9*s - 60*s + 14*s)*(0 + 3 - 5) to the form y + t*s and give t. 124 Rearrange (-l + 3*l + 0*l + (-2*l - 2*l + 3*l)*(2 + 2 - 5) + 0*l - 2*l + 3*l)*(137 - 672 + 229)*(5 - 7 - 4) to the form k*l + v and give v. 0 Express 3559*k - 35 + 13 + 8 + 14 as q + p*k and give p. 3559 Rearrange -11*u + 372*u**4 + 21*u**2 - 377*u**4 + 12*u to m*u + g + a*u**2 + k*u**4 + f*u**3 and give m. 1 Express (-3*c**3 + 3*c**3 - 3*c**4)*(350 + 473 - 207) as l*c**3 + r + m*c**4 + y*c**2 + i*c and give m. -1848 Express 11960*t**2 + 24958 - 2157*t**2 - 24958 as c + q*t**2 + n*t and give q. 9803 Rearrange -297*a - 4 + 597*a - 288*a + 1 - 1 to the form n*a + r and give n. 12 Rearrange -774*n**2 + 17*n**3 - 7 + n + 758*n**2 + 6 to f*n**3 + l*n + m*n**2 + d and give m. -16 Rearrange -18 - 324*o**2 - 37 + 80 - 25 to v + h*o**2 + r*o and give h. -324 Express (12 + 4 + 35)*(2*a**2 + a**2 - 2*a**2)*(35 + 9 - 6) as t*a**2 + i*a + k and give t. 1938 Rearrange (g + 3*g - 3*g)*((3*g - 3*g - 2*g)*(2 - 4 + 0) + 2801*g - 1771*g + 5768*g) to the form w*g**2 + i + k*g and give k. 0 Express -2255584 + 2255584 - 524*q as r + u*q and give r. 0 Express (-2*z**3 - 968*z**4 + 2*z**3 + 105*z**4 - 950*z**4 + 205*z**4)*(-3 + 2 - 1) as w*z**3 + g*z**4 + p + t*z + q*z**2 and give g. 3216 Rearrange -3*j**3 - 7*j**3 - 102*j + 6*j**4 + 107 + 94*j - 2*j**2 - 109 to g*j**4 + d*j**2 + m*j + h + b*j**3 and give d. -2 Express 8*s**3 - 2 - 2*s**4 + 8*s**3 + 10*s - 8*s**3 - 10*s**3 + 2*s**2 in the form u*s**2 + g*s**3 + t*s**4 + k + c*s and give u. 2 Express 5 - 4*j - 5 + (51 + 31 - 41)*(-2*j + 2*j + 3*j) + (0*j + 0*j - j)*(-5 + 4 + 7) as t + h*j and give t. 0 Express -9*k**4 + 3*k + 2*k**3 + 8*k**2 - k**4 + 0*k**2 + 4*k**4 + 0*k**4 in the form i*k**4 + v*k**3 + w*k**2 + d + a*k and give i. -6 Express (5*b - b - 3*b + (-3*b + 0*b - 7*b)*(-86 - 81 + 145))*(-4*b**2 + 15*b - 15*b) in the form j*b**2 + z + g*b + i*b**3 and give i. -884 Express 23775*p + 7817*p - 8140*p in the form a*p + o and give a. 23452 Express (t**2 + 2*t**2 + t**2 + (-3 - 3 + 4)*(-3*t**2 + 3 - 3))*(27*t**2 - 3 + 32*t**2 - 55*t**2) in the form w + a*t**4 + f*t + n*t**2 + z*t**3 and give w. 0 Rearrange 1208*z**4 + 3*z**3 - 3 - z + 1211*z**4 - 2421*z**4 + 2*z**2 to r*z**4 + m*z + i + n*z**2 + b*z**3 and give m. -1 Rearrange -54897*y**2 + 109989*y**2 - 4*y - 55737*y**2 to the form c*y + u*y**2 + m and give u. -645 Rearrange 617282 - 617282 + 7479*t to the form a*t + c and give a. 7479 Rearrange -j**3 - 8433519 - 5*j + 8433519 - 77*j**2 to the form m*j**3 + c*j + a*j**2 + f and give a. -77 Rearrange (-4*k + 0*k + k)*(33*k - 5*k + 10*k) + 2*k**2 + 4*k**2 - 4*k**2 - 3*k**2 - k**2 + 5*k**2 to u*k**2 + j + b*k and give u. -111 Express (3*v**3 - 3*v**3 + 2*v**3)*(-131 + 32 - 3*v + 184) as c*v + i*v**3 + n*v**4 + f*v**2 + w and give i. 170 Rearrange (9 - 215*t + 613*t + 5 + 10 - 24)*(41*t + 14*t + 88*t) to the form q + g*t + z*t**2 and give z. 56914 Rearrange -99*j**3 + 183*j**3 - 13*j - 4 + 0*j**2 - 80*j**3 + j**2 + 5*j**4 to o*j**4 + x*j + q*j**3 + c*j**2 + b and give q. 4 Express (-4*d - 4*d + 0*d)*(151606 - 151606 - 2*d**2 + 339*d) in the form t*d + r*d**3 + b*d**2 + u and give r. 16 Rearrange ((3 - 3 - u**2)*(-2 + 0 + 1) - 2763*u + 194*u**2 + 2763*u)*(7 - 2 - 27) to the form j*u + z*u**2 + b and give z. -4290 Express 1413 + 1391 + 7*s**2 - 2648 in the form i*s**2 + u*s + h and give u. 0 Express (-41*s + 23*s - 42*s + (-20 + 12*s - 26*s + 12*s)*(3 - 4 + 0))*(3*s**2 + 0*s**2 - 5*s**2) in the form h*s**2 + y*s**3 + l + i*s and give h. -40 Rearrange 230 + 83*i + 79*i + 71*i - 217*i to the form f*i + v and give f. 16 Rearrange 1702*p - 929*p + 1272*p + 499*p to q*p + f and give q. 2544 Rearrange -3826 + 29*j**2 - 481*j**2 + 3824 to the form f*j**2 + r*j + l and give l. -2 Rearrange 2*p**3 + 111167 + 189*p - 111167 - p**2 to the form t*p**2 + b*p + w + n*p**3 and give b. 189 Rearrange (24*d**2 + d**3 + 2343 - 2390 + 12*d - 23*d**2)*(-1 + 5 - 3) to t*d**3 + x + a*d**2 + i*d and give t. 1 Express -309*x - 814729*x**2 - 123*x + 814708*x**2 as n*x + q + d*x**2 and give d. -21 Express -45 - 2*t + 2*t - 1065*t**2 + 2115*t**2 - 1178*t**2 in the form j*t + z*t**2 + f and give f. -45 Express 10*q - 2*q - q + (1 - 2*q - 1)*(-3 + 0 + 1) + 2 + q - 2 + (5 - 6 + 5)*(-4*q + 3*q - q) - 5*q + 11*q + 6*q in the form m + l*q and give l. 16 Express -288 - 5*i**3 - 244 + 527 as x*i**3 + m + p*i**2 + k*i and give m. -5 Express 185*v**3 - v + 260 - 153 - 108 as j*v**2 + p + r*v**3 + l*v and give r. 185 Express 44 - 2269*b - 67 + 23 in the form n + s*b and give s. -2269 Rearrange -894*y**3 - 65 + 30 - 3 + 36 to the form n + h*y**3 + s*y + b*y**2 and give n. -2 Rearrange (1 - 5*z + 13*z + 6*z)*(-70 - 74 - 144*z**2 + 142) to the form n*z**2 + h*z + p + k*z**3 and give n. -144 Express -2*a**2 - 3*a**4 - 50 - 2*a**3 + 131 - 46 - 44 - 6*a**3 as x*a**2 + d*a**3 + q + y*a**4 + g*a and give q. -9 Rearrange (4*d - 4*d + d)*(3 - 4 + 3)*(-3 + 3 + 6)*(-6 + 4 - 3)*(-64 + 191 + 130) to the form o*d + w and give o. -15420 Express -14137*l**3 - 15 - 7*l**2 + 7069*l**3 + 5 + 7064*l**3 in the form m*l + j + w*l**3 + k*l**2 and give m. 0 Rearrange -1426937*d**2 + d + 140*d**3 + 1426938*d**2 + 3*d**4 + 134*d**3 + 3 to w*d**4 + o*d**3 + t*d + r*d**2 + k and give t. 1 Express (2*v - 3 + 3)*(-2 + 5 - 1) + 9*v + 16*v - 5*v - 3 + (-2 - 5 + 3)*(v + 4*v + 2*v) as r*v + m and give m. -3 Rearrange -m**3 + 9202 - 9201 + 0*m**3 - m - 67*m**2 to the form n*m + q + l*m**3 + t*m**2 and give l. -1 Express (3 - 3 - m)*(0 - 1 - 1)*(-159 + 159 + 83*m**3 + (-2 + m**2 + 2)*(-3*m + 3*m + 2*m)) in the form o*m + n*m**2 + a + i*m**3 + p*m**4 and give n. 0 Express -32977*o**3 - 12 + 2*o**2 + 16487*o**3 - 10*o + 16491*o**3 in the form u + x*o + v*o**3 + w*o**2 and give x. -10 Rearrange 514*v + 531 - 178 - 171 - 181 - 1471*v to b*v + z and give z. 1 Express -h**3 + 4*h**3 - h**3 + (-2*h**3 - 5 + 5)*(-1 + 2 - 2) + (213*h**2 + 83*h - 83*h)*(-h + 1 + 4*h - 6*h) as i*h + c*h**2 + y + f*h**3 and give f. -635 Express 2*y**3 + y**3 - 5*y**3 + (-55*y**2 - 47*y**2 - 44*y**2)*(-27 + y + 27)*(2 - 4 + 6) in the form k*y + c*y**2 + i*y**3 + j and give i. -586 Express 11 - 7446*b - 9*b**4 - 4*b**3 + 4*b**3 + 2*b**3 + 7416*b - 4*b**3 in the form j*b**2 + y*b + v*b**4 + r*b**3 + a and give y. -30 Rearrange -7*o - o**3 - 9*o - 279*o**4 + 1 + 16*o + 1054*o**4 to the form y*o + v + p*o**3 + j*o**4 + a*o**2 and give p. -1 Rearrange 7*i**2 - 494*i + 15 - 14*i**2 - 360*i - 15 to h*i**2 + m*i + y and give h. -7 Rearrange -5 + 1 + 1787*h**3 - 1389*h**3 to m + w*h + d*h**3 + l*h**2 and give m. -4 Rearrange -719*h**2 - 50*h**2 + 1 - 17*h**2 - 269*h**2 to the form s*h + i*h**2 + x and give i. -1055 Rearrange -4936*i**2 - 2 - 5614*i**2 + 8884*i**2 - 3*i to the form h*i**2 + s*i + a and give s. -3 Rearrange -1032*d**2 + 489*d**2 - 1346*d**2 - 2 + 193*d**2 to b + m*d + o*d**2 and give b. -2 Express (3 - 3 - 3)*(-3*s + 3*s + 2*s**2) + 14667*s**2 - 176*s + 13542*s**2 + 176*s in the form a + f*s**2 + t*s and give f. 28203 Rearrange (-2221 + 3025 + 15611)*(-3*r + 7*r - 2*r) to b + w*r and give b. 0 Rearrange 89 - 170 + 10955*c - 2795*c + 81 to m + h*c and give h. 8160 Express -6 + 465*g**4 - 86*g**4 - 6437*g**3 + 2*g**2 + 7 + 6436*g**3 - g in the form y*g**3 + s + u*g**4 + o*g + w*g**2 and give u. 379 Rearrange -5*c**2 + 17*c + 6 - 16*c + 94*c - c**2 - 5 to y*c + d + i*c**2 and give y. 95 Express (0 - 1 - 1)*(2 + 2 - 3)*(y + 2*y - 2*y) + (-1 - 3 + 6)*(-7 + 10*y + 7) + 7 - 4 + y - 2 in the form k + r*y and give k. 1 Rearrange -d**2 - 3*d**3 + 81 - 98 + 0*d + 19 - 9*d to the form f*d**3 + h*d + k*d**2 + c and give f. -3
{ "pile_set_name": "DM Mathematics" }
6938, 6977, 7028? 6*m**2 - 3*m + 6893 What is the r'th term of 261, 899, 1963, 3453, 5369? 213*r**2 - r + 49 What is the i'th term of 109929, 219817, 329703, 439587, 549469, 659349, 769227? -i**2 + 109891*i + 39 What is the f'th term of -1996, -4246, -6752, -9514? -128*f**2 - 1866*f - 2 What is the p'th term of -1284, -5112, -11490, -20418, -31896, -45924? -1275*p**2 - 3*p - 6 What is the o'th term of -77, -190, -331, -500, -697? -14*o**2 - 71*o + 8 What is the n'th term of 387, 424, 485, 570? 12*n**2 + n + 374 What is the w'th term of 3932, 8095, 12260, 16427, 20596, 24767? w**2 + 4160*w - 229 What is the p'th term of -7752, -31064, -69918, -124314, -194252? -7771*p**2 + p + 18 What is the v'th term of -152, -159, -174, -203, -252, -327? -v**3 + 2*v**2 - 6*v - 147 What is the g'th term of 310, 655, 998, 1339, 1678, 2015, 2350? -g**2 + 348*g - 37 What is the p'th term of 645, 1240, 1835, 2436, 3049, 3680, 4335? p**3 - 6*p**2 + 606*p + 44 What is the x'th term of 669, 1933, 4041, 6993, 10789? 422*x**2 - 2*x + 249 What is the z'th term of 19322, 77314, 173982, 309338, 483394, 696162? 2*z**3 + 19326*z**2 - 6 What is the m'th term of 446520, 893043, 1339578, 1786131, 2232708, 2679315, 3125958, 3572643? m**3 + 446516*m + 3 What is the d'th term of 197, -61, -811, -2299, -4771, -8473, -13651? -41*d**3 + 29*d + 209 What is the t'th term of 19044, 19045, 19046? t + 19043 What is the w'th term of 10678, 10673, 10664, 10651, 10634, 10613? -2*w**2 + w + 10679 What is the n'th term of 7655, 15295, 22935, 30575, 38215? 7640*n + 15 What is the n'th term of -2991, -2970, -2911, -2796, -2607, -2326? 3*n**3 + n**2 - 3*n - 2992 What is the t'th term of -104, -99, -84, -53, 0, 81, 196, 351? t**3 - t**2 + t - 105 What is the i'th term of -3088, -24647, -83156, -197089, -384920, -665123, -1056172? -3079*i**3 - i**2 - 3*i - 5 What is the n'th term of -7339799, -7339800, -7339801, -7339802, -7339803? -n - 7339798 What is the r'th term of -1460, -1517, -1670, -1967, -2456? -8*r**3 - r - 1451 What is the b'th term of 96314, 96316, 96318, 96320, 96322? 2*b + 96312 What is the b'th term of 8591, 17142, 25693, 34244? 8551*b + 40 What is the l'th term of 6796, 13605, 20416, 27229? l**2 + 6806*l - 11 What is the h'th term of -299, -1162, -2587, -4574, -7123, -10234, -13907? -281*h**2 - 20*h + 2 What is the i'th term of -174, -354, -540, -732, -930, -1134, -1344? -3*i**2 - 171*i What is the h'th term of 2533, 2518, 2503, 2488, 2473, 2458? -15*h + 2548 What is the i'th term of -9594, -38363, -86328, -153501, -239894, -345519? -2*i**3 - 9586*i**2 + 3*i - 9 What is the q'th term of -783, -3197, -7367, -13413, -21455, -31613, -44007? -20*q**3 - 758*q**2 - 5 What is the u'th term of 3046, 24429, 82494, 195583, 382038, 660201? 3057*u**3 - u**2 - 13*u + 3 What is the z'th term of 2578, 2572, 2568, 2566, 2566, 2568, 2572? z**2 - 9*z + 2586 What is the i'th term of 5567, 5571, 5575, 5579, 5583? 4*i + 5563 What is the m'th term of -353, -702, -1051? -349*m - 4 What is the c'th term of 1355960, 1355958, 1355964, 1355984, 1356024? c**3 - 2*c**2 - 3*c + 1355964 What is the f'th term of 38, 158, 356, 632, 986, 1418? 39*f**2 + 3*f - 4 What is the h'th term of 75, 148, 283, 510, 859? 5*h**3 + h**2 + 35*h + 34 What is the q'th term of 6374, 12749, 19124, 25499, 31874, 38249? 6375*q - 1 What is the s'th term of 36432, 36435, 36438, 36441? 3*s + 36429 What is the y'th term of -370291, -370311, -370329, -370345, -370359? y**2 - 23*y - 370269 What is the f'th term of 1816, 1822, 1828, 1834, 1840, 1846? 6*f + 1810 What is the m'th term of -1526, -1535, -1548, -1565? -2*m**2 - 3*m - 1521 What is the h'th term of 5874, 11677, 17468, 23241, 28990, 34709, 40392? -h**3 + 5810*h + 65 What is the l'th term of 82, -4, -242, -710, -1486, -2648, -4274, -6442? -13*l**3 + 2*l**2 - l + 94 What is the k'th term of -50, 471, 1026, 1633, 2310, 3075, 3946? 3*k**3 - k**2 + 503*k - 555 What is the h'th term of 1712, 1732, 1762, 1802? 5*h**2 + 5*h + 1702 What is the m'th term of 294, 451, 484, 399, 202, -101? m**3 - 68*m**2 + 354*m + 7 What is the u'th term of 543, 539, 535, 531, 527, 523? -4*u + 547 What is the r'th term of 90530, 181057, 271572, 362069, 452542, 542985? -r**3 + 90534*r - 3 What is the l'th term of -105, -1272, -4441, -10614, -20793, -35980, -57177, -85386? -167*l**3 + l**2 - l + 62 What is the p'th term of 8347, 16700, 25053? 8353*p - 6 What is the c'th term of -58668, -58609, -58550, -58491, -58432, -58373? 59*c - 58727 What is the v'th term of 454, 445, 434, 421, 406, 389? -v**2 - 6*v + 461 What is the v'th term of 1404, 1820, 2518, 3504, 4784, 6364, 8250? v**3 + 135*v**2 + 4*v + 1264 What is the w'th term of -61, -100, -83, 20, 239, 604, 1145? 5*w**3 - 2*w**2 - 68*w + 4 What is the n'th term of 1088, 2239, 3412, 4601, 5800, 7003, 8204? -n**3 + 17*n**2 + 1107*n - 35 What is the q'th term of 451, 915, 1393, 1885, 2391, 2911, 3445? 7*q**2 + 443*q + 1 What is the x'th term of 664478, 664484, 664500, 664532, 664586, 664668? x**3 - x**2 + 2*x + 664476 What is the q'th term of -63, -144, -241, -360, -507? -q**3 - 2*q**2 - 68*q + 8 What is the u'th term of -4910, -4919, -4924, -4925, -4922? 2*u**2 - 15*u - 4897 What is the p'th term of -596, -1364, -2302, -3416, -4712? -p**3 - 79*p**2 - 524*p + 8 What is the y'th term of -385, -1495, -3285, -5707, -8713, -12255, -16285? 8*y**3 - 388*y**2 - 2*y - 3 What is the u'th term of -266, -650, -1034? -384*u + 118 What is the k'th term of -5688, -5699, -5718, -5745? -4*k**2 + k - 5685 What is the q'th term of -365, -1345, -2985, -5291, -8269, -11925, -16265? -q**3 - 324*q**2 - q - 39 What is the x'th term of 549, 516, 483, 450, 417? -33*x + 582 What is the a'th term of -4322655, -4322654, -4322653, -4322652, -4322651, -4322650? a - 4322656 What is the f'th term of -2082, -2276, -2458, -2622, -2762, -2872, -2946? f**3 - 201*f - 1882 What is the o'th term of 3897, 7778, 11661, 15546, 19433, 23322? o**2 + 3878*o + 18 What is the c'th term of 30, 106, 182, 258, 334, 410? 76*c - 46 What is the o'th term of 317, 591, 839, 1049, 1209? -2*o**3 - o**2 + 291*o + 29 What is the n'th term of -2148, -2627, -3106, -3585? -479*n - 1669 What is the n'th term of 93, 437, 1003, 1785, 2777, 3973, 5367? -n**3 + 117*n**2 - 23 What is the f'th term of 365, 818, 1317, 1886, 2549, 3330? 4*f**3 - f**2 + 428*f - 66 What is the f'th term of 39997, 79988, 119981, 159976, 199973, 239972? f**2 + 39988*f + 8 What is the r'th term of -130533, -261073, -391613, -522153, -652693, -783233? -130540*r + 7 What is the w'th term of 417, 883, 1427, 2049? 39*w**2 + 349*w + 29 What is the b'th term of 205, 141, 43, -89, -255, -455, -689? -17*b**2 - 13*b + 235 What is the p'th term of -577, -591, -601, -595, -561? 2*p**3 - 10*p**2 + 2*p - 571 What is the m'th term of -1173, -1263, -1413, -1623, -1893, -2223, -2613? -30*m**2 - 1143 What is the u'th term of -146, -193, -324, -581, -1006, -1641? -7*u**3 + 2*u - 141 What is the i'th term of 18302, 73183, 164652, 292709, 457354? 18294*i**2 - i + 9 What is the h'th term of 667, 916, 1165? 249*h + 418 What is the m'th term of -994469, -994459, -994437, -994397, -994333, -994239? m**3 + 3*m - 994473 What is the c'th term of -1869072, -1869065, -1869054, -1869039, -1869020, -1868997, -1868970? 2*c**2 + c - 1869075 What is the p'th term of -55242, -55244, -55246, -55248, -55250? -2*p - 55240 What is the m'th term of -1010, -1014, -1020, -1028, -1038, -1050, -1064? -m**2 - m - 1008 What is the u'th term of 507, 2021, 4543, 8073, 12611? 504*u**2 + 2*u + 1 What is the g'th term of -839422, -3357680, -7554776, -13430710, -20985482, -30219092, -41131540? -839419*g**2 - g - 2 What is the q'th term of -1388, -1366, -1344, -1322? 22*q - 1410 What is the p'th term of -15868, -15861, -15854, -15847, -15840? 7*p - 15875 What is the s'th term of 321, 645, 991, 1359, 1749, 2161, 2595? 11*s**2 + 291*s + 19 What is the m'th term of 330, 674, 1040, 1434, 1862? m**3 + 5*m**2 + 322*m + 2 What is the i'th term of 12513, 12525, 12549, 12585, 12633, 12693? 6*i**2 - 6*i + 12513 What is the h'th term of -418, -1728, -3910, -6964, -10890, -15688? -436*h**2 - 2*h + 20 What is the p'th term of -143428, -286858, -430288, -573718? -143430*p + 2 What is the s'th term of 937, 6338, 20993,
{ "pile_set_name": "DM Mathematics" }
c. -2 Rearrange -474*p + 11*p**2 + 5*p**2 - 4*p**2 + 2 - 14*p**2 to the form z*p + s + n*p**2 and give z. -474 Express (-6*p + 4*p + 0*p)*(-3 + 2 + 0)*(-3*p - 16 - 10 + 34) as h*p**2 + q + z*p and give h. -6 Express -16*f + 16*f - 8*f**4 + (f**3 - 3*f**3 + 4*f**3)*(f + 0*f + 0*f) - 76*f**4 - 70*f**4 + 35*f**4 as l*f**3 + a + k*f + x*f**2 + h*f**4 and give h. -117 Express -12247*s - 1321*s**2 + 12247*s + (3 + 0 - 1)*(-s**2 + s**2 + 2*s**2) - s**2 - 3 + 3 as a*s + t + b*s**2 and give b. -1318 Rearrange -d**3 - d**4 - 8 - 12 - d + 29 - 6 to b + f*d + j*d**3 + c*d**4 + v*d**2 and give b. 3 Express 20568 - 20568 - 1246*b as g*b + h and give g. -1246 Rearrange 2 - 112*c - 4 + 13 + 23*c to v*c + d and give v. -89 Express (0 + 1 + 2)*(c**4 + c**4 + 0*c**4) - 3*c + 3*c - 2*c**4 + 15*c**4 + 4*c + 2*c - 5*c in the form i*c**4 + o*c**2 + n + q*c**3 + z*c and give i. 19 Express 11*g**2 + 9*g - 7*g**2 - 5*g**3 - 6*g in the form k*g + v*g**2 + o*g**3 + a and give k. 3 Rearrange w - 2*w**3 - 1 - 189*w**2 + w**3 + 207*w**2 to l + r*w**2 + g*w + t*w**3 and give l. -1 Rearrange -5396*v**2 + 5396*v**2 + 11*v**3 - 4*v - 9*v**4 + 2 to x + g*v**4 + u*v**2 + o*v + w*v**3 and give u. 0 Rearrange -5*p**2 + 246*p**4 + 256*p**4 - 503*p**4 - 4*p**3 + 3*p**2 to the form o*p**3 + q*p + c + v*p**2 + w*p**4 and give v. -2 Express (-4 + 0 + 1)*(-7*m**2 + 10 - 18 + 16) as y*m + h*m**2 + i and give h. 21 Express (369*o + 318*o - 443*o + 534*o + 388*o)*(2*o**2 + 3*o**2 - 4*o**2) in the form r + m*o**3 + j*o + x*o**2 and give r. 0 Express q + 3*q + q + (32*q - 137*q + 34*q)*(1 + 0 + 1) + (3 + 4 - 5)*(2*q + q + 0*q) in the form y*q + k and give y. -131 Express 57 - 2*w**4 - w**3 + 338*w - 168*w - 170*w + w**4 as k + m*w**3 + b*w**2 + v*w**4 + n*w and give v. -1 Express 2 - 81*j - 122*j - 74*j + 56*j as s*j + c and give s. -221 Express -92*z**2 - 321*z**2 - 112*z**2 + 47*z**2 in the form r + d*z + i*z**2 and give i. -478 Rearrange (269*l**2 + 360*l**2 - 385*l**2)*(-2 + 1 + 3) to the form n + y*l + s*l**2 and give s. 488 Express -15 - 489*l + 394*l + 11 in the form q*l + d and give d. -4 Express -641*s**2 + 647*s**2 + 5*s - 7*s + 7*s**3 - 2*s**4 + 1 in the form d*s**3 + q*s**4 + f*s + r*s**2 + c and give q. -2 Express j + 14*j + 5*j + (-2 + 4 + 0)*(2*j - j - 3*j) + 2*j + 0 - j + 11 in the form m*j + y and give m. 17 Express (2 - 2 + x**3)*(-56*x + 137*x + 109*x) in the form j*x + m + q*x**4 + g*x**2 + d*x**3 and give q. 190 Rearrange -868*j + 1048*j + 1580*j to the form c*j + s and give c. 1760 Express -7*t - 7*t + 12*t + 44*t**3 - 12*t**3 in the form l*t**3 + g*t + h*t**2 + d and give h. 0 Rearrange -m**2 - 116*m + 148*m + 356*m - 3*m**2 to the form r*m + w + h*m**2 and give h. -4 Express -8*b**2 + 7*b**2 - 4205 + 3749 in the form p + w*b**2 + o*b and give w. -1 Express 849*f + 30*f**2 - 9 - 847*f - 12*f**2 + 8 - 6 as r*f + j + n*f**2 and give r. 2 Rearrange 3 + t**2 - 3 + (2 - 2 - 2)*(-3*t**2 - 7*t + 7*t) + (5*t - 10*t + 0*t)*(-2 + 3*t + 2) to l*t**2 + s*t + h and give l. -8 Rearrange (5 + 4 - 8)*(3 - 3 - x)*(11 - 3 - 2 - 2*x) to u*x**2 + q + f*x and give u. 2 Rearrange -5*z**2 - 33*z**4 - 33*z**4 - 34*z**4 - 2*z + 103*z**4 to the form l*z**4 + t + o*z**2 + m*z**3 + s*z and give t. 0 Express 2*m - 2*m + 254*m**3 - 256*m**3 + 28*m**2 + 2 in the form x + v*m + w*m**2 + k*m**3 and give w. 28 Express 5 + 7*c**2 + 1 - c - 13*c**2 + 9*c**2 in the form w*c + k + h*c**2 and give k. 6 Express -2*x**3 - 2*x**4 + 257*x - 262*x + x**3 + 26 in the form p*x**3 + y*x**2 + d*x**4 + s*x + q and give d. -2 Express 5*q**3 + 2 + 2*q**4 + 5*q**4 + 4*q**2 - 2*q**2 - 2*q**2 in the form c + r*q + l*q**4 + p*q**3 + t*q**2 and give p. 5 Express (45*d + 10 - 62*d - 12*d)*(-5*d + 14*d + 6*d) as x*d**2 + c*d + u and give x. -435 Express 11*r**2 - r**2 + 43 - 11*r**2 as v*r**2 + z + m*r and give z. 43 Express (-2*c**2 + 2*c**2 - c**2)*((c + 2 - 2)*(-2 + 2 + 3)*(-1 - 2 + 4) + c + 2*c - c - 33 + 33 - 13*c) as a*c**2 + s + h*c**3 + w*c and give h. 8 Express -14 - 35*u**4 + 36*u**4 + u**3 + 19*u**2 - 17*u**2 in the form p*u**3 + q*u**4 + n + k*u + l*u**2 and give l. 2 Rearrange 2*p**3 + 702*p - 5 - p**4 + 0*p**3 - 701*p to l + a*p + i*p**3 + m*p**2 + z*p**4 and give i. 2 Rearrange (4*k + 5*k - 3*k)*(25 - 52 + 31) to the form g + c*k and give c. 24 Express -6*o**2 - 14*o**2 - 16*o**2 + 4*o + 42*o**2 + 12*o in the form a*o + b + z*o**2 and give z. 6 Rearrange (-4 + 0 - 2)*(-5*t - 7 + 7)*((0 + 0 - 1)*(3 - 3 - 1) - 1 + 1 + 1) to k*t + w and give k. 60 Express 30*v**2 - 24*v**2 + v**3 + 44*v**4 + v**3 - 7*v**2 in the form k*v**3 + d*v**2 + s*v + l + u*v**4 and give k. 2 Rearrange (-2*y - 2*y + 2*y)*(-18 - 20 + 6) + (-3*y + 0*y + 2*y)*(-4 - 1 + 4) + 0*y - 3*y + 4*y + y + 2*y + y to n*y + t and give n. 70 Rearrange (2 + 0 + 2)*(l - l + 2*l) + l - 3 + 3 + 456 - 21*l + 445 - 890 to the form t*l + k and give t. -12 Express (-10 + 7 - 13)*(0*c - 4*c + 3*c - 7) as u + o*c and give o. 16 Express (-j - 2*j + 5*j)*(4*j**2 - 4*j**2 + 3*j**2) - 28*j**3 + 65*j - 65*j in the form d*j**2 + b*j**3 + f + c*j and give d. 0 Rearrange 130*q + 30*q + 51*q to w*q + p and give p. 0 Express (-1011 + 21*p + 1011)*(6*p**3 - 3*p**3 - 5*p**3) as u*p + f*p**2 + o*p**4 + i*p**3 + c and give o. -42 Rearrange -11*c - 56 + 9*c + 38 to the form h + f*c and give f. -2 Rearrange -40*x**3 + 40*x**3 - 13*x**4 + (2*x**2 + 0*x + 0*x)*(3*x - 3*x**2 - 3*x) to o*x + t*x**4 + n*x**3 + z*x**2 + f and give t. -19 Express (801*o**2 + 813*o**2 - 334*o**2 + 18*o**2)*(0*o**2 + 3*o**2 + o**2) in the form m*o**4 + f*o + t*o**3 + y*o**2 + l and give m. 5192 Express -143*w + 2 - 117*w**2 + 2*w**4 - 144*w - 141*w + 428*w in the form x*w**3 + k + p*w + v*w**2 + r*w**4 and give k. 2 Rearrange 16*v**4 - 23*v**4 + v**3 + 9*v**4 + 7*v**2 + 4 + 0*v**3 + 4*v - 3*v**2 to the form t + q*v**2 + c*v + b*v**3 + w*v**4 and give c. 4 Express -1 + 5*h - 4*h**4 - 30*h**3 + 27*h**3 - 4*h in the form f*h**2 + u + d*h**4 + q*h + k*h**3 and give k. -3 Rearrange (-3*h**3 + 0*h**3 + h**3)*(258*h - 168*h - 139*h) + h**4 + 0*h + 0*h + 1 - 1 + h**4 to b*h + z*h**3 + x*h**4 + w*h**2 + a and give x. 100 Rearrange (-4*h + 4*h - 9*h + (-h - 4*h + 3*h)*(-4 + 4 - 2) + 2*h + 4*h - 2*h)*(10 + 11 + 0) to y*h + k and give y. -21 Rearrange 4 + 30*l + 52*l + 2*l**2 - 3 + 58*l - l**2 to u + m*l**2 + a*l and give m. 1 Rearrange -3 - 2*k - 162480*k**2 - k**3 + k + 162431*k**2 to the form g*k**2 + w*k + l + p*k**3 and give p. -1 Express 2*t**2 + 3641*t - 3641*t - 49 as q*t**2 + f + z*t and give f. -49 Rearrange 33*y + 2*y + 7 + 2 + y to the form i + g*y and give g. 36 Express 391*s**3 - s - 26741*s**2 + 13372*s**2 + 13369*s**2 + (-3 - 4 + 4)*(-4*s**3 + 3*s**3 + 2*s**3) as a*s**2 + h + y*s**3 + d*s and give y. 388 Rearrange -5 + 3*f - 2*f + 4 + f**2 - 8*f - 46*f**3 + 9*f to the form t + j*f**2 + b*f + z*f**3 and give j. 1 Rearrange (-3 + 1 + 1)*(-11339 - s**2 + s + 11187 + s) to the form a*s**2 + w + c*s and give c. -2 Express (-32*r**3 - 74*r**3 + 91*r**3)*(2*r - 6*r + 3*r) + 0 - r**4 + 0 as h + b*r**3 + l*r + x*r**4 + v*r**2 and give x. 14 Express (2 - c - 2)*((-1 - 3 + 3)*(11 - 7 + 7)*(-2 + 3 + 1) - 2 - 3 + 2) in the form s + z*c and give z. 25 Express -4*n**3 + 5*n**3 - 26 - n**3 + 3*n**3 as t*n + c + j*n**2 + z*n**3 and give z. 3 Express 2 + 13*p**4 + p**3 + 5*p**2 - 22*p**4 - 25*p**2 + 0*p**3 + 10*p**4 in the form a*p**2 + y*p + b*p**4 + t + n*p**3 and give t. 2 Express 21*w**2 + 79*w**3 - 2*w - 23*w**2 - 28*w**3 in the form q*w**2 + n*w**3 + x + g*w and give n. 51 Rearrange ((4 - 3 + 0)*(f + 3*f - 6*f) + f - f - f - 16*f + 11061 - 11061 + 3*f + 3*f - 3*f)*(5 + 2 - 3) to the form k*f + m and give k. -64 Express -1401*p**2 + 24*p + 214*p**2 - 24*p in the form f*p**2 + c*p + k and give f. -1187 Express (-8 + 3 - 2)*(-1 + 1 - 3)*(-4 + 6 + 2)*(5*r + r - 5*r) as u + t*r and give t. 84 Express 152 + 27 + 3*m + 50 in the form v*m + o and give o. 229 Express -f**3 + 6*f**3 + f**2 + 5*f**3 - 11*f**3 - 31*f as s*f**2 + x*f**3 + o*f + r and give o. -31 Express (-w**2 - 2*w**2 + 2*w**2)*(7*w + 76*w + 95*w)*(-2 + 3*w + 2 + (-5*w + 2*w + 4*w)*(-1 + 6 - 3)) as b*w**3 + g*w**4 + z + v*w**2 + f*w and give g. -890 Express -3*r - 1105*r**4 + 5*r + 1 + 3*r**2 + 1104*r**4 - 2*r**3 as b + s*r**2 + j*r**4 + i*r + k*r**3 and gi
{ "pile_set_name": "DM Mathematics" }
when 363339 is divided by 13. 2 Calculate the remainder when 335810 is divided by 97. 93 What is the remainder when 55755 is divided by 31? 17 What is the remainder when 920105 is divided by 3119? 0 What is the remainder when 764 is divided by 291? 182 What is the remainder when 10881 is divided by 2? 1 What is the remainder when 389912 is divided by 12? 8 What is the remainder when 5970 is divided by 2891? 188 What is the remainder when 105187 is divided by 2145? 82 Calculate the remainder when 547475 is divided by 87. 71 Calculate the remainder when 18414 is divided by 127. 126 What is the remainder when 3824 is divided by 343? 51 Calculate the remainder when 122880 is divided by 36. 12 Calculate the remainder when 2573 is divided by 101. 48 Calculate the remainder when 9244 is divided by 262. 74 Calculate the remainder when 906442 is divided by 453214. 14 Calculate the remainder when 172377 is divided by 85. 82 What is the remainder when 76888 is divided by 169? 162 What is the remainder when 69028 is divided by 125? 28 What is the remainder when 6913 is divided by 70? 53 What is the remainder when 429 is divided by 216? 213 What is the remainder when 6026542 is divided by 1165? 1162 What is the remainder when 2294 is divided by 1140? 14 Calculate the remainder when 2088 is divided by 500. 88 What is the remainder when 4066 is divided by 51? 37 What is the remainder when 565291 is divided by 20? 11 Calculate the remainder when 18875 is divided by 994. 983 Calculate the remainder when 54222 is divided by 49. 28 Calculate the remainder when 5122 is divided by 164. 38 What is the remainder when 39797 is divided by 19885? 27 Calculate the remainder when 19783 is divided by 19783. 0 Calculate the remainder when 40507 is divided by 19. 18 What is the remainder when 1168 is divided by 1121? 47 Calculate the remainder when 391972 is divided by 52. 48 What is the remainder when 535869 is divided by 49? 5 What is the remainder when 288986 is divided by 11558? 36 Calculate the remainder when 14601 is divided by 168. 153 What is the remainder when 45130 is divided by 1599? 358 What is the remainder when 32530 is divided by 293? 7 What is the remainder when 14066 is divided by 4501? 563 What is the remainder when 95022 is divided by 1827? 18 What is the remainder when 26588 is divided by 444? 392 What is the remainder when 2983 is divided by 22? 13 Calculate the remainder when 362807 is divided by 196. 11 Calculate the remainder when 5298 is divided by 32. 18 What is the remainder when 10283 is divided by 2984? 1331 What is the remainder when 5838 is divided by 928? 270 Calculate the remainder when 38150 is divided by 65. 60 What is the remainder when 198024 is divided by 4? 0 Calculate the remainder when 1929 is divided by 666. 597 What is the remainder when 4079 is divided by 245? 159 Calculate the remainder when 373477 is divided by 206. 205 What is the remainder when 18596 is divided by 21? 11 What is the remainder when 1532 is divided by 380? 12 What is the remainder when 23365 is divided by 46? 43 What is the remainder when 94349 is divided by 47172? 5 Calculate the remainder when 16625 is divided by 554. 5 What is the remainder when 1793 is divided by 299? 298 Calculate the remainder when 4153345 is divided by 9. 7 Calculate the remainder when 42124 is divided by 10508. 92 Calculate the remainder when 67392 is divided by 15. 12 What is the remainder when 757 is divided by 151? 2 What is the remainder when 3719 is divided by 235? 194 Calculate the remainder when 11311 is divided by 205. 36 What is the remainder when 39245 is divided by 1065? 905 What is the remainder when 370460 is divided by 540? 20 What is the remainder when 752952 is divided by 1374? 0 What is the remainder when 578570 is divided by 369? 347 What is the remainder when 1507 is divided by 54? 49 What is the remainder when 417548 is divided by 12652? 32 What is the remainder when 82714 is divided by 27504? 202 What is the remainder when 659 is divided by 5? 4 Calculate the remainder when 6410 is divided by 495. 470 What is the remainder when 4528 is divided by 400? 128 Calculate the remainder when 105930 is divided by 1341. 1332 What is the remainder when 5319 is divided by 878? 51 What is the remainder when 4743 is divided by 103? 5 What is the remainder when 8881 is divided by 36? 25 What is the remainder when 11333 is divided by 552? 293 Calculate the remainder when 2003 is divided by 422. 315 What is the remainder when 1335169 is divided by 146? 145 Calculate the remainder when 47855 is divided by 656. 623 What is the remainder when 234671 is divided by 15? 11 Calculate the remainder when 15113 is divided by 15106. 7 What is the remainder when 38953 is divided by 106? 51 What is the remainder when 1195 is divided by 77? 40 Calculate the remainder when 8854 is divided by 684. 646 What is the remainder when 711 is divided by 266? 179 Calculate the remainder when 67122 is divided by 1222. 1134 What is the remainder when 64286 is divided by 2570? 36 Calculate the remainder when 4001 is divided by 1160. 521 What is the remainder when 230128 is divided by 42? 10 What is the remainder when 5284 is divided by 403? 45 What is the remainder when 12748 is divided by 172? 20 What is the remainder when 30082 is divided by 10001? 79 What is the remainder when 5600 is divided by 125? 100 Calculate the remainder when 1524 is divided by 292. 64 What is the remainder when 967 is divided by 54? 49 What is the remainder when 3719 is divided by 828? 407 Calculate the remainder when 41548 is divided by 31. 8 Calculate the remainder when 288124 is divided by 840. 4 What is the remainder when 13495 is divided by 10? 5 What is the remainder when 5681 is divided by 21? 11 Calculate the remainder when 58911 is divided by 660. 171 Calculate the remainder when 7292 is divided by 251. 13 Calculate the remainder when 20965 is divided by 29. 27 Calculate the remainder when 13492 is divided by 180. 172 What is the remainder when 2443 is divided by 548? 251 What is the remainder when 225555 is divided by 20? 15 What is the remainder when 7538 is divided by 7532? 6 What is the remainder when 8237 is divided by 235? 12 Calculate the remainder when 2019 is divided by 138. 87 What is the remainder when 6871 is divided by 381? 13 Calculate the remainder when 814 is divided by 80. 14 Calculate the remainder when 22638 is divided by 7456. 270 What is the remainder when 181481 is divided by 132? 113 Calculate the remainder when 314215 is divided by 143. 44 What is the remainder when 2654 is divided by 296? 286 What is the remainder when 11704 is divided by 87? 46 What is the remainder when 47875 is divided by 73? 60 What is the remainder when 159703 is divided by 13? 11 Calculate the remainder when 34649 is divided by 70. 69 What is the remainder when 796079 is divided by 31? 30 What is the remainder when 1414511 is divided by 418? 417 Calculate the remainder when 18572 is divided by 204. 8 Calculate the remainder when 103675 is divided by 1152. 1147 Calculate the remainder when 1077 is divided by 124. 85 What is the remainder when 171758 is divided by 2202? 2 What is the remainder when 6888 is divided by 140? 28 What is the remainder when 7170 is divided by 175? 170 Calculate the remainder when 3016 is divided by 101. 87 What is the remainder when 86162 is divided by 231? 230 Calculate the remainder when 8115 is divided by 279. 24 Calculate the remainder when 93090 is divided by 5817. 18 Calculate the remainder when 6429 is divided by 643. 642 Calculate the remainder when 500786 is divided by 7. 6 What is the remainder when 2021 is divided by 341? 316 Calculate the remainder when 7733 is divided by 16. 5 What is the remainder when 6728 is divided by 48? 8 Calculate the remainder when 403 is divided by 193. 17 Calculate the remainder when 1818 is divided by 1808. 10 What is the remainder when 66400 is divided by 102? 100 Calculate the remainder when 1839970 is divided by 223. 220 What is the remainder when 738 is divided by 731? 7 Calculate the remainder when 16305 is divided by 204. 189 What is the remainder when 13059 is divided by 283? 41 What is the remainder when 56489 is divided by 911? 7 What is the remain
{ "pile_set_name": "DM Mathematics" }
-2*z + 511 = 101. Suppose w - v = -5*o + z, 0 = 2*w + 10. What is the units digit of o? 4 Let b(n) = -10*n**3 - 4*n**2 + 24*n + 47. What is the units digit of b(-6)? 9 Let h(v) = -13*v - 39. Let a be h(-3). Let i = 259 + a. What is the units digit of i? 9 Suppose 6*d = d + 5*b + 300, 172 = 3*d - b. Suppose 4*a = -0*q - 4*q - d, -22 = a + 3*q. Let z = 171 - a. What is the tens digit of z? 8 Suppose -4*v - 64 = -8*l + 3*l, -4*v + 2*l - 76 = 0. Let m = -5 - v. What is the tens digit of m + 0/(0 - 3)? 1 What is the hundreds digit of (-108)/324 - (-66188)/6? 0 Let l(q) = -q**3 + 11*q**2 - 6*q + 1. Let y = -29 - -30. Let f be -1 + y + 42/12*2. What is the units digit of l(f)? 5 Let p(b) = -4*b**2 - 17*b - 22. Let k(u) = -8*u**2 - 34*u - 45. Let m(x) = -6*k(x) + 11*p(x). What is the hundreds digit of m(-13)? 4 Suppose 7*w - 41*w = -932858. What is the thousands digit of w? 7 Suppose 3*y + 24 = 2*u, -41 = 4*y + 4*u - 9. Let g be y/52 + 524/26. Let t = -6 + g. What is the units digit of t? 4 Let x(j) = 2*j + 32. Let r be x(-20). Let c(p) = 8*p**2 + 10*p + 23. Let d be c(r). Suppose 4*y + y = d. What is the tens digit of y? 9 Let o(y) = -y**3 + 6*y**2 + 6*y - 5. Let w be o(6). Suppose 3*j + w = 1177. What is the tens digit of j? 8 Let a be (-1 + 1)*(-13 + 14). What is the hundreds digit of (-783 - 14)*(a + 2)/(-2)? 7 Suppose 10*r - 5*r - 15 = 0. Let j = -8 - -12. Suppose -4*l - 353 = -0*z - r*z, l - 477 = -j*z. What is the tens digit of z? 1 Let b(s) = s**3 + 32*s**2 - 41*s + 47. Let m be b(-26). Suppose -5*i - 404 = -m. What is the units digit of i? 3 Let i be -133 - (4 + 0 + 0). Let q = i + 346. What is the hundreds digit of q? 2 Suppose -125*v + 3342163 = 7*v - 2076305. What is the thousands digit of v? 1 Let o(i) = 4*i**2 + 3 + 2*i - 1 + 3*i**2. Suppose 25*b - 20*b + 150 = -25*b. What is the hundreds digit of o(b)? 1 Suppose 4*d - 55 = -d. Let k be (-10)/((-304)/(-24) - 13). Let b = d + k. What is the tens digit of b? 4 Let o(s) = -2794*s - 1698. What is the units digit of o(-2)? 0 Let k(f) be the second derivative of 17*f**4/6 - 4*f**3/3 + 13*f**2/2 - f. Let y be ((-5)/(-3))/((-440)/(-528)). What is the tens digit of k(y)? 3 Let w(d) = -3*d - 11. Let m be w(-6). Suppose -m*c - 598 + 66 = 0. Let a = -20 - c. What is the tens digit of a? 5 Suppose -51702 = -3*w - 3*o, -86*w = -83*w - 3*o - 51732. What is the ten thousands digit of w? 1 Suppose a = -0 - 1. Suppose 55 = -p + 6*p. What is the tens digit of (3 + a)*p/2? 1 Suppose 5*t - 292 = 4*u, 2*u - t = -87 - 59. Suppose -2*w + f - 19 = 34, -w + 3*f = 29. Let o = w - u. What is the tens digit of o? 4 Suppose -140 = -4*s + 2*n - 30, 0 = 2*n - 10. Suppose p + 4*p - g = 22, 5*p - 5*g = s. Let f(u) = 2*u**2 + 5*u - 6. What is the tens digit of f(p)? 4 Let i(b) = b**3 - 76*b**2 - 66*b - 934. What is the tens digit of i(78)? 8 Suppose -c = -4, -136 = -4*j - 0*j + 2*c. What is the units digit of 1038 + (-9)/(j/(-8))? 0 Let y be 27*(1 - (-6)/(-9)). Suppose -2617 - 1262 = -y*q. Suppose 0 = -3*f + 109 + q. What is the units digit of f? 0 Suppose -3*c = -v - 2 + 5, 5*c = -4*v + 12. Let l be 20/(15/v) + 3. Suppose -4*z - l*z + 2299 = 0. What is the hundreds digit of z? 2 Let k(t) = 2*t + 18. Let l be k(-11). Let h be (50/l)/5*-2. Suppose u - 17 = -2*x, 0 = h*u + x + 4*x - 110. What is the tens digit of u? 2 Let n = -8652 - -30803. What is the thousands digit of n? 2 Suppose -6*r + 3*r = -117. Let y = -39 + r. Suppose 9*c - 4*c - 730 = y. What is the tens digit of c? 4 What is the units digit of 5 + 1236 - (-1 - -10)? 2 Suppose -21*q = -17*q - 24. Suppose f = -5*u - 18, q*f + 8 = 2*f - 4*u. Suppose 12 = f*a - 38. What is the tens digit of a? 2 Let z(l) = l**2 + 9*l + 22. Let w be z(-11). Let i be (286/4 + -1)/(33/w). Suppose -334 + i = -8*d. What is the tens digit of d? 3 Let s be 3*2 - (1 - 17). Suppose -s*l - 2560 = -27*l. What is the hundreds digit of l? 5 Let y(x) = 2*x**2 + 12*x - 12. Let n be (-40)/6 + (-14)/(-3) + -5. Let q be y(n). Suppose -5*r + q*r = -234. What is the tens digit of r? 7 Let c(s) = -3*s + 8. Let g be c(6). Let d(q) = -15*q - 2. Let w be d(g). Let u = w + -33. What is the hundreds digit of u? 1 Let t(j) = 138*j**2 - 93*j - 2139. What is the ten thousands digit of t(-21)? 6 Let m(x) = 10*x + 1801. What is the units digit of m(37)? 1 Let f(t) = 1374*t - 2999. What is the tens digit of f(21)? 5 Suppose 0*k - 3*k = 4*q - 1820, -4*q - 3076 = -5*k. Suppose k = -6*c - 660. Let t = 327 + c. What is the units digit of t? 5 What is the thousands digit of (-1848)/(-2079) - 45145/(-9)? 5 Let j(a) = -776*a - 1328. What is the units digit of j(-11)? 8 Let v(p) = 5514*p**2 - 10*p - 13. What is the thousands digit of v(-1)? 5 Let b(q) = -1718*q + 1674. What is the units digit of b(-17)? 0 Let s = 1809 - -9. Let v = -1212 + s. What is the tens digit of v? 0 Let q be (-69)/(-46)*(-242)/(-12)*8. Suppose -7*a - q + 1145 = 0. What is the hundreds digit of a? 1 Suppose -4*q - 15 + 31 = 0. Let j be -8*((-1)/(-4) + 2/q). What is the hundreds digit of -1 - ((-1)/(-6) + 793/j)? 1 Let i = 42639 + -29017. What is the units digit of i? 2 Suppose 0 = -2*z + 15*z - 39. Suppose 2*b - 1 = -z. What is the hundreds digit of b + 75/(-2)*(-42)/5? 3 Let f = 128781 - 67486. What is the hundreds digit of f? 2 Suppose -152*t + 167*t - 150 = 0. What is the tens digit of 7/(-35) - (-8432)/t? 4 Let f be (-288)/(-108)*(-18)/4. What is the thousands digit of ((-28)/(-10))/(f/(-4770))? 1 Let o = -1556 + 9327. What is the units digit of o? 1 Suppose -26*a + 383040 = 34*a. What is the units digit of a? 4 Let t(r) = 780*r**3 + 5*r**2 - 4*r - 6. What is the tens digit of t(2)? 4 Suppose -80289 = -3*y - s - 2*s, 6*y = 2*s + 160594. What is the thousands digit of y? 6 Let j = 12294 - 3530. What is the hundreds digit of j? 7 Let l be 4/18 - 32/144. Suppose -4*u = -3*p + 2*p + 6, -4*p = -5*u - 46. Suppose l = -p*m + 12*m + 214. What is the tens digit of m? 0 Let r = -14 + 13. Let z be 1/((-172)/174 + r + 2). Suppose 6*o - z = -3. What is the units digit of o? 4 Suppose -u - 3 = -4. Let w(j) = 5*j**3 - 2*j + 1. Let t be w(u). Suppose t*y - 2*x = 732, 2*x = -y + 260 - 67. What is the hundreds digit of y? 1 Suppose 5*o = 3*c + 7079, 44*c - 7064 = -5*o + 42*c. What is the hundreds digit of o? 4 Let i(x) = -x**3 + 34*x**2 - 189*x - 26. What is the hundreds digit of i(-23)? 4 Let k(t) = -t - 28. Let x be k(-31). Suppose 11 = x*u - 844. Suppose 0 = -5*a + 5*q + 345, -8*q + u = 4*a - 3*q. What is the units digit of a? 0 Suppose 0 = 2*o + 3*g - 5, 5 = -o - 6*g + 2*g. Suppose -3330 = k - o*k. What is the units digit of k? 5 Let d(k) = -382*k**3 - 6*k**2 - 53*k + 83. What is the thousands digit of d(-5)? 7 Suppose 5*k - 5 = 0, s - 114 = 5*s - 2*k. Let j = -21 - s. Suppose j*c - 4*c - 4*d - 226 = 0, -c + 82 = -3*d. What is the units digit of c? 0 Suppose -16 = h + 5*z, -2*z + 4*z = 2*h + 8. What is the tens digit of (-8 - (h + -1)) + 616? 1 Let k(h) = h**2 + h - 12. Suppose -3*q = 8*c - 4*c - 13, -5 = -2*q + c. Suppose 0 = q*s + 25 + 26. What is the hundreds digit of k(s)? 2 Let s be 8 - 28/(8 - 1). Let i(m) = 25*m - 70. What is the tens digit of i(s)? 3 Let y be 2/17 + 4999484/(-476). What is the tens digit of (1 + (-3)/9)*y/(-6)? 6 Let u(a) = -9*a**3 + 10*a**2 + 70*a + 80. What is the units digit of u(-7)? 7 Suppose -94 = 4*t - 106. Suppose -3*c - t*w - 173 + 860 = 0, 1149 = 5*c + w. Let y = c + 36. What is the hundreds digit of y? 2 Suppose -k = -3*b - 5*k - 22, 0 = 3*k + 3. Let f(h) = 17*h - 4 + 2*h**2 + 0*h**2 - 12*h. What is the units digit of f(b)? 8 Let a(s) = 2*s**2 + 7*s + 8. Let r be a(-3). Let c(o) = -14*o + r*o - 5*o - 11*o**2 - 1 - o**3 - 2. What is the tens digit of c(-10)? 3 What is the units digit of 12/(-56) - (-28)/((-1176)/(-1864809))? 0 Let j(r) be the third derivative of -5*r**6/8 + r**5/20 + r**4/8 + r**3/3 - 45*r**2. What is the units digit of j(-2)? 8 Suppose 12*z - 690511 = -242875. What is the tens digit of z? 0 What is the thousands digit of (32 - -23)*5/(150/3636)? 6 Suppose 21*u - 224 = -56. Let k(b) = 16*b**2 - 11*b - 12. What is the units digit of k(u)? 4 Let g = -2216 - -49. What is the tens digit of g/(-3) - (-260)/(-195)? 2 Suppose h - 3*m - 8384 = 0, -10*h = -5*h + m - 41968. What is the hundreds digit of h? 3 Sup
{ "pile_set_name": "DM Mathematics" }
Solve 3*r = -x*r + 120 for r. 6 Suppose y - 5*r = 190, 42*y + 4*r = 40*y + 338. Solve 0 = -y*s + 181*s - 24 for s. 4 Let u(j) = j**3 - 6*j**2 - 28*j + 15. Let o be u(9). Let s be o/(((-90)/6)/(-5)). Solve -8 = -s*c - 2 for c. 3 Let d = -426 + 431. Suppose -10*n + 11*n - 33 = d*y, -4*n + 47 = -3*y. Solve -4 = 6*f + n for f. -2 Let a = 895 - 895. Suppose -1 = -3*v - 0*r + 2*r, 3*v - 4*r + 7 = a. Solve -3 = v*u + 9 for u. -4 Suppose -2*u + 2*d = -0*d, 0 = d - 2. Suppose -k = -4*q + k + 46, -u*q + 4*k + 32 = 0. Suppose -2*a + q = 3*a. Solve a*j - 10 = -3*j for j. 2 Let u = 35771 - 33930. Solve 0 = 14*l - u + 1715 for l. 9 Let h = -15 + 18. Suppose 1 = x - h. Suppose 5*d = -15, -28 = -5*z - d - 6. Solve -z*a = -a - x for a. 1 Suppose -58 = 5*t - 333. Let s be (-50)/(-5) - -3 - -36. Let m = t - s. Solve z - 1 = -m for z. -5 Suppose -7*h + 42 = t, 4*t + 6*h = 4*h + 64. Solve -2*q = -t + 10 for q. 2 Let w(i) = 51*i + 1982. Let p be w(-20). Solve -p*g + 969*g = 14 for g. 2 Suppose -8 = -6*w + 1066. Suppose -8*f + 77 = -w. Solve m + f - 33 = 0 for m. 1 Suppose 5*u = 32 - 7. Let t(s) = -8*s - 1. Let h = 35 - 37. Let g be t(h). Solve u*f + g = -0*f for f. -3 Suppose y - l + 232 = 0, -282 = y - 5*l - 50. Let n = y + 240. Suppose -6 = -3*z + 2*k + 11, -3*k - 24 = -4*z. Solve n*j = z*j - 5 for j. -1 Let c(g) = g**2 - 2*g - 3. Let a be c(6). Suppose -2*v = -5*x - 110, x + 3*v + 1 = -4. Let u = x + a. Solve 0 = -m - 2 - u for m. -3 Suppose -a - 5*d - 5 = -2*d, -3*a - d = -17. Solve 9 - 37 = -a*f for f. 4 Let u(v) = 108*v**2 + 2698*v + 16. Let p be u(-25). Solve -35 = -p*y + 101*y for y. -1 Suppose 58*d - 469 = 459. Solve -18 = 22*a - d*a for a. -3 Let l = 170 + -98. Let z = l + -61. Let k = -4 + z. Solve i + k = 3 for i. -4 Suppose -6*r + 42*r - 144 = 0. Let s(d) = 2*d**2 + 21*d - 102. Let o be s(r). Solve -o + 22 = -4*q for q. -2 Suppose -119*i + 124 = -115*i - 4*y, 4*i + y = 129. Solve 11*x + 23 = -i for x. -5 Let o = 1421 + -1418. Let h(q) = 1 - 2*q**3 - 2*q**2 + 4*q - q + 2*q**2 - 3*q**2. Let b be h(-3). Solve -o = -4*t - b for t. -4 Let h be 5/4 + -1 + 539/4. Suppose 142*t - 168 = h*t. Solve 3*b + 3*b + t = 0 for b. -4 Let w = -2431 + 2979. Solve -7*b - w = -604 for b. 8 Let t = 675 - 663. Let v = 39 + -27. Suppose -t = -v*i + 10*i. Solve 0 = m - i + 1 for m. 5 Let g(j) = j**3 + 16*j**2 - 19*j - 34. Let i be g(-17). Solve i = 5*l + 45 - 40 for l. -1 Suppose 59*v + 64*v = -47*v + 50490. Solve 72*p = -9 + v for p. 4 Let s(c) = -2*c**2 + 51*c + 392. Let h be s(-6). Solve 12*n + h*n = 52 for n. 2 Suppose g = -4*z + 2, 0 = g - 0*g + z - 5. Suppose -g*m = -7*m - 10*m. Solve m*h + 6 = 3*h for h. 2 Let r(y) = -y**3 + 38*y**2 - 69*y - 98. Let b be r(36). Solve -81*a = -76*a - b for a. 2 Let v = -5251 - -5314. Solve -v*c = -137 + 326 for c. -3 Suppose 8*l = 8 + 24. Let f be (-1)/(l/(-2) - -3). Let y = -1 - f. Solve 0 = 3*d - y + 12 for d. -4 Let k(x) = 69*x - 41. Let r be k(4). Solve 229*d = r*d - 18 for d. 3 Let f(z) = -z**3 - 18*z**2 - 15*z. Let y be f(-15). Let i = y - -453. Solve -5*u + i = -2 for u. 1 Suppose 12*t = 139 + 101. Let h be 18*(-4)/(-96)*4. Solve -h*m = 35 - t for m. -5 Let f(m) = -2*m**3 - 107*m**2 - 49*m + 228. Let c be f(-53). Solve 8*g = 8 + c for g. 3 Let t be 0*(-1)/(-2)*-1. Let s(k) = -1 + 14*k + 60 - k - 2*k. Let b be s(-4). Solve -3*w + b = -t*w for w. 5 Let z = -865 + 873. Solve 0 = -21*b + z - 50 for b. -2 Let u = -18 + 16. Let g be (642/(-24))/(u/(-8)). Let b = g + 109. Solve b*d + d = -15 for d. -5 Suppose 239*c = 969 + 465. Solve -c = 13*a + 46 for a. -4 Suppose 2*f - 44 = -9*f. Suppose -w - 4*w = -f*w. Let j be (-17)/34*(w - 0). Solve -2*r = -2 - j for r. 1 Let l(v) = -v**3 - 7*v**2 + 24*v + 197. Let t be l(-6). Solve t*h - 4*h = 78 for h. 6 Suppose -67*a - 32 = -75*a. Suppose o = -p - 0 + 2, -2*p - o = -a. Solve 2*s = -p*s - 8 for s. -2 Suppose 0 = 4*s - 133 + 133. Let j be (-5 - -1)*(9/12 + -3). Suppose -j*q + 11*q - 6 = s. Solve -q*i + 7 + 8 = 0 for i. 5 Suppose 7*u - 1 = -1. Suppose u*v + 8*v = -6*v. Solve -5*i + i + 16 = v for i. 4 Suppose 0 = 36*m - 34*m - 230. Suppose 5*k - 379 = 4*g - m, -4*k - 371 = 5*g. Let j = g - -76. Solve j = -4*l + 21 for l. 4 Let c be (-858)/9*534/(-356). Solve 5*o = 118 - c for o. -5 Let d = 42 + -54. Let w be 20*-1*6/d. Solve 0 = 3*a + 2*a + w for a. -2 Let z(a) = 2*a**2 + 27*a + 133. Let s be z(-12). Solve -27*d - 16 + s = 0 for d. 3 Suppose 0 = -0*x + 2*x - 12. Let w(d) = 25*d - 138. Let l be w(x). Solve -17*i + l*i = 10 for i. -2 Suppose 0 = 5*k - 5*o - 7 - 3, -k = 5*o - 14. Suppose -2*l - 18 = 4*v, -34*v = -31*v - 3*l - 27. Solve a - 6 + k = v for a. 2 Let j = -3626 - -3650. Solve 23*y + j = 1 for y. -1 Suppose 0 = 6*k - 5*c - 19, -12 = -3*k - 5*c + 5. Solve -5 = k*b + 7 for b. -3 Let z be -6 - (-6 + (-42)/(-6)). Let f be (-432)/(-189) + 2/z. Suppose -2*p - 2 + 6 = 0. Solve f = p*k - 4 for k. 3 Suppose -3453*l - 52 = -3466*l. Let g be (-4)/10 + 64/10. Suppose 0 = -5*q - 3*k + 12, l = -5*q + g*k - 5*k. Solve p - 3 - 1 = q for p. 4 Let m be (-1 - (1 + -335)) + (-20)/20. Suppose 8*z + m = 356. Solve 2*c = -1 - z for c. -2 Suppose -128 + 64 = 2*w. Let r be ((-45)/(-12))/(5 + 156/w). Solve 26*j - r*j = 12 for j. -3 Suppose -2*s = 78*l - 79*l - 2012, 0 = l + 2. Solve s*r - 1001*r = -16 for r. -4 Let b(u) = u**2 - 9*u - 22. Let f be b(11). Suppose -7*q + 49 - 623 = f. Let p = 84 + q. Solve -3*w = -p + 11 for w. -3 Let r(m) = 4*m**2 + 1. Let q = -231 - -129. Let l = q + 103. Let n be r(l). Solve -n*b = -3*b - 10 for b. 5 Suppose 228*u - 225*u - 25 = -5*x, -2*u = -5*x. Suppose -4*s = -6 - 18. Suppose -3*w = s - 18. Solve -y - w = -u*y for y. 1 Let d(c) = 2*c**2 + 132*c - 134. Let y be d(-67). Solve y = -34*b + 18*b for b. 0 Let j = 438 + -431. Suppose 4*c = -5*c + j*c. Solve c = -9*v + 2*v - 14 for v. -2 Suppose 0 = -49*f + 31*f + 810. Suppose -f*a + 33 = -42*a. Solve -6*j = 1 + a for j. -2 Let z(g) = -2*g + 3*g**2 + 3 + 3*g**2 - 3*g**2. Suppose -1 = -o - 3*s, 3*s + 2*s = 0. Let x be z(o). Solve -3*k - x = 2 for k. -2 Let x(g) = -g**3 + 6*g**2 + 11*g - 9. Let w be x(8). Let n = w + 124. Suppose -s + 77 = n. Solve 5 = -7*r + s*r for r. -1 Let k = 9 + -5. Let j be (2 - (-26352)/(-78)) + 2/(-13). Let w = -331 - j. Solve 0 = -d - k*d - w for d. -1 Suppose 108 = 10*k + 88. Let o be 3/(-2)*2*-1. Suppose 12 = 2*b - 6*b, b + o = k*n. Solve n*y = -3*y + 9 for y. 3 Let x be (40 - 42) + 1*11. Suppose 18 = x*a - 0. Solve a*b = 4*b - 2 for b. 1 Let z = 94 + -51. Suppose 0 = -2*x + 47 + z. Let l = 48 - x. Solve -6 + 21 = l*h for h. 5 Suppose 5*w - 640 = -5*t, 3*w + 62 - 444 = -5*t. Solve 7*b + w = 143 for b. 2 Suppose -19*v + 14*v - 15 = 0, -5*p = -v - 28. Solve -6*r = -5*r + p*r for r. 0 Suppose 4*u + 2*o - 8 = -3*o, 5*u - 10 = 2*o. Suppose 2*v + 1 = j, -u*v + 0 = -3*j + 7. Solve w = -j*w + 4 for w. 1 Let p(m) = 4*m - 2*m - m + 0*m + 1. Let y be p(4). Let f(r) = 202*r + 18610. Let n be f(-92). Solve -n = y*s - 1 for s. -5 Let n be (-78)/(-8) - 540/(-432). Solve 82 = -n*j + 38 for j. -4 Let m = -32 + 34. Suppose -m*r + 6*r = -108. Let l = -23 - r. Solve l = a + a for a. 2 Let z(q) = q**2 - 4*q + 5. Let h be z(1). Suppose 6*k - h*k - 16 = 2*c, 5*k - 2 = -2*c. Let y be (-1 + c)/(140/(-168)). Solve -5*i + 3*i - y = 0 for i. -3 Let a be 4 - (-1)/(2/(-4)). Suppose -5*v - 42 = -4*i + a, -20 = 5*v. Solve 0 = 9*h - i*h + 12 for h. -4 Let q(f) = f**3 - 5*f**2 - 10*f + 28. Let g be q(6). Suppose 11 = 3*k + 4*n, -n + 3 = -g*n. Solve -4*a + 4 = -k*a for a. -4 Suppose -16*c - 20 = -17*c + 2*n, c + n + 1 = 0. Let r(s) = s**2 + 3*s + 3. Let v be r(-3). Solve -v*i + c = -6*i for i. -2 Let x = 87 + 30. Let n = x - 107. Suppose 8 = -u + n. Solve k - 6 = -u*k for k. 2 Suppose 0 = -4*s - 5*d + 18, 35 = -2*s + 4*d + 31. Suppose -2*r = -s*o + 30, 2*r = -0*r - 10. Solve 3*z + o = -2*z for z. -2 Suppose -5*q - 2*p = -17, 11 + 3 = 5*q - p. Solve -q*w + 252 = 60*w for w. 4 Suppose 45*p = -2*w + 49*p - 2, p = -2*w + 38. Solve w*l + 42*l = -513 for l. -9 Suppose -14*y - 70 = -5*c - 19*y, -8 = 2*y. Suppose c*j = 60 + 102. Solve 8*v = j*v + 3 for v. -3 Let k(v) = -v**3 - 9*v**2 - 9*v - 7. Let l be k(-8). Let t be (-290)/(-25) + (l - 3/5). Suppose -27*s + t = -26*s. Solve -s = -3*d + 3 for d. 5 Let p(m) be the second derivative of -5*m**3/6 -
{ "pile_set_name": "DM Mathematics" }
nt from {y: 1, m: 17}. Give prob of sequence ym. 1/18 What is prob of sequence ccmc when four letters picked without replacement from {m: 4, c: 10}? 120/1001 Four letters picked without replacement from chchch. What is prob of sequence hchc? 1/10 Two letters picked without replacement from {q: 1, c: 1, r: 1, g: 2}. Give prob of sequence rq. 1/20 Three letters picked without replacement from {w: 3, u: 2, x: 7, g: 1, z: 5, j: 2}. Give prob of sequence xxu. 7/570 Two letters picked without replacement from {j: 4, u: 5, k: 2}. Give prob of sequence jj. 6/55 What is prob of sequence yyyy when four letters picked without replacement from yyyyyyyyyyyxyxyyyyy? 35/57 What is prob of sequence gy when two letters picked without replacement from {p: 2, y: 1, h: 2, a: 2, x: 1, g: 5}? 5/156 What is prob of sequence tbyg when four letters picked without replacement from {y: 2, g: 1, b: 1, s: 1, t: 1, a: 1}? 1/420 What is prob of sequence qeq when three letters picked without replacement from {q: 9, e: 2}? 8/55 What is prob of sequence jgv when three letters picked without replacement from {l: 1, v: 1, g: 6, j: 1, b: 4}? 1/286 Three letters picked without replacement from {e: 3, c: 1, n: 2, i: 13}. What is prob of sequence cie? 13/1938 What is prob of sequence bf when two letters picked without replacement from fbf? 1/3 Calculate prob of sequence ssw when three letters picked without replacement from hshshhhwhhsshhshwnnn. 1/171 Two letters picked without replacement from {a: 3, s: 2, l: 1, i: 1}. What is prob of sequence li? 1/42 Three letters picked without replacement from {k: 3, r: 6, l: 6}. Give prob of sequence kkl. 6/455 Three letters picked without replacement from ufyutbtbxxfbfftfbfub. What is prob of sequence yut? 1/760 Calculate prob of sequence pj when two letters picked without replacement from {j: 9, p: 9}. 9/34 Two letters picked without replacement from {r: 4, d: 1, k: 2, f: 8}. Give prob of sequence kd. 1/105 Calculate prob of sequence qzqg when four letters picked without replacement from {g: 2, q: 2, z: 4}. 1/105 Two letters picked without replacement from {u: 1, w: 4, f: 1, v: 2, t: 1}. Give prob of sequence ut. 1/72 Four letters picked without replacement from zizzziz. What is prob of sequence iizz? 1/21 Two letters picked without replacement from {v: 1, f: 1, w: 5, r: 5, u: 3}. Give prob of sequence wv. 1/42 Four letters picked without replacement from fzzffzzzzzzzzf. What is prob of sequence zzff? 45/1001 Two letters picked without replacement from {s: 2, i: 1, f: 1, v: 1, z: 1, e: 1}. Give prob of sequence vs. 1/21 What is prob of sequence paw when three letters picked without replacement from {h: 1, p: 2, w: 1, a: 1, m: 1, e: 1}? 1/105 Two letters picked without replacement from ggmmmggmgmgm. Give prob of sequence gm. 3/11 Calculate prob of sequence icg when three letters picked without replacement from giiggiggiggicc. 5/156 Calculate prob of sequence ilmi when four letters picked without replacement from lmizmiimzlzzz. 3/1430 What is prob of sequence ru when two letters picked without replacement from {u: 6, r: 2}? 3/14 What is prob of sequence aad when three letters picked without replacement from rrrammdaam? 1/120 Calculate prob of sequence sss when three letters picked without replacement from sssssss. 1 Three letters picked without replacement from {o: 1, q: 3, a: 1, g: 1, d: 1}. Give prob of sequence aaa. 0 Three letters picked without replacement from {u: 3, e: 1}. Give prob of sequence uue. 1/4 Two letters picked without replacement from wwwwvwwwwwww. What is prob of sequence vw? 1/12 What is prob of sequence xkcx when four letters picked without replacement from kxkcsxxx? 1/70 Three letters picked without replacement from xaaao. Give prob of sequence oxo. 0 Four letters picked without replacement from uwuwkkkuukk. Give prob of sequence uwkw. 1/198 What is prob of sequence zz when two letters picked without replacement from {c: 9, z: 5}? 10/91 Calculate prob of sequence xxlw when four letters picked without replacement from {l: 1, w: 6, v: 6, p: 1, x: 3, t: 3}. 1/3230 What is prob of sequence nk when two letters picked without replacement from {k: 2, n: 6}? 3/14 Four letters picked without replacement from oooooxoooxoxoooxoooo. Give prob of sequence oooo. 364/969 Calculate prob of sequence jgr when three letters picked without replacement from rrmrgjbrmrbb. 1/264 Calculate prob of sequence cccc when four letters picked without replacement from {y: 2, w: 6, c: 4}. 1/495 Calculate prob of sequence bgt when three letters picked without replacement from gbggttttttbg. 2/55 Four letters picked without replacement from {v: 3, g: 7, j: 1, a: 5}. Give prob of sequence vgvv. 1/1040 Two letters picked without replacement from mppgpqqmppgzqgqqppqq. What is prob of sequence pg? 21/380 Calculate prob of sequence qe when two letters picked without replacement from {e: 1, f: 3, p: 4, q: 1, a: 2}. 1/110 Two letters picked without replacement from qrqqrfrkrqnrnnrr. What is prob of sequence nn? 1/40 Calculate prob of sequence lm when two letters picked without replacement from {v: 2, h: 1, l: 1, m: 1, n: 4}. 1/72 Four letters picked without replacement from {a: 7, z: 1, c: 1, v: 3}. Give prob of sequence acvz. 7/3960 Four letters picked without replacement from {h: 3, u: 5, x: 3, y: 1, n: 5, p: 1}. Give prob of sequence phnh. 1/2448 What is prob of sequence us when two letters picked without replacement from {z: 1, a: 1, s: 1, p: 1, u: 1}? 1/20 Four letters picked without replacement from {f: 1, q: 5, v: 1, a: 2, i: 1, r: 3}. What is prob of sequence airv? 1/2860 Four letters picked without replacement from oeoeeeo. What is prob of sequence ooeo? 1/35 Two letters picked without replacement from vvvbvvqqqvqvvb. What is prob of sequence vb? 8/91 Calculate prob of sequence iib when three letters picked without replacement from {i: 1, h: 1, o: 13, b: 5}. 0 What is prob of sequence ouw when three letters picked without replacement from {w: 6, u: 1, j: 1, o: 1}? 1/84 Four letters picked without replacement from dwwllgrwdlw. What is prob of sequence grll? 1/1320 What is prob of sequence is when two letters picked without replacement from oofoffsoiioo? 1/66 What is prob of sequence nqp when three letters picked without replacement from {p: 3, q: 12, n: 3}? 3/136 Four letters picked without replacement from fffffbfbfmffbbmffbf. Give prob of sequence mfmb. 5/3876 What is prob of sequence pk when two letters picked without replacement from {p: 3, k: 3}? 3/10 What is prob of sequence tdrh when four letters picked without replacement from {d: 2, t: 2, m: 1, r: 4, h: 1}? 1/315 Three letters picked without replacement from jjjjuuju. Give prob of sequence uuj. 5/56 Three letters picked without replacement from hvvhvvhhvvhvhh. What is prob of sequence hhh? 5/52 What is prob of sequence ji when two letters picked without replacement from {o: 3, u: 9, q: 1, j: 2, i: 3}? 1/51 Calculate prob of sequence zzz when three letters picked without replacement from {z: 9}. 1 Calculate prob of sequence llsa when four letters picked without replacement from lqlwlaqaqsllqqlqq. 1/952 Three letters picked without replacement from nanmnmm. What is prob of sequence mnm? 3/35 What is prob of sequence zzoz when four letters picked without replacement from {z: 3, g: 4, o: 1}? 1/280 Four letters picked without replacement from {q: 1, y: 3, b: 5}. Give prob of sequence bbby. 5/84 Calculate prob of sequence xx when two letters picked without replacement from {x: 2, v: 3, w: 3}. 1/28 Four letters picked without replacement from {c: 5, m: 1, o: 7}. What is prob of sequence ocoo? 35/572 Two letters picked without replacement from nnindiniiiinninnnn. Give prob of sequence nd. 5/153 Three letters picked without replacement from {d: 2, j: 5, g: 2}. Give prob of sequence jjd. 5/63 Two letters picked without replacement from {m: 2, o: 1, h: 1, l: 2}. Give prob of sequence ol. 1/15 Three letters picked without replacement from jhhjhjiihmjhhhjhjhjh. What is prob of sequence hii? 1/342 Two letters picked without replacement from thttttttthtthtt. What is prob of sequence ht? 6/35 Calculate prob of sequence qq when two letters picked without replacement from {q: 2, j: 1, i: 2}. 1/10 Two letters
{ "pile_set_name": "DM Mathematics" }
sqrt(99))**2 + -4). 285 Simplify 1*(sqrt(180) + -3). -3 + 6*sqrt(5) Simplify 4 + ((sqrt(1100) - ((-2*sqrt(1100)*-6 - sqrt(1100)) + sqrt(1100) + sqrt(1100)))*-5)**2. 3960004 Simplify -2 + (sqrt(160)/sqrt(2) + -6*sqrt(20))**2. 318 Simplify sqrt(143)/(-1*sqrt(11)) + 1 + (sqrt(26)/sqrt(2))**2 + 5. -sqrt(13) + 19 Simplify sqrt(44)/(sqrt(4)*-2 - sqrt(4)) + sqrt(704)/sqrt(4). 11*sqrt(11)/3 Simplify sqrt(12)/(sqrt(36)*1). sqrt(3)/3 Simplify sqrt(39)/(3*sqrt(3)*4). sqrt(13)/12 Simplify (-5 + -1*sqrt(832) - (sqrt(832) - ((2 + sqrt(832)*-1 - sqrt(832)) + sqrt(832))))**2. 144*sqrt(13) + 7497 Simplify (2*sqrt(68))**2*6. 1632 Simplify (sqrt(140)/sqrt(4)*6)/sqrt(7) + 6*((sqrt(5)*-2 - sqrt(5))*-1 + sqrt(5)). 30*sqrt(5) Simplify (-1*sqrt(77)*-5)/(sqrt(70)/(sqrt(10)*-1)). -5*sqrt(11) Simplify -5*(2 + sqrt(720))**2. -3620 - 240*sqrt(5) Simplify -1*sqrt(200) - (((sqrt(32)/sqrt(8) + sqrt(4))/sqrt(2) - sqrt(2)) + sqrt(2)). -12*sqrt(2) Simplify (-3 + sqrt(176) - (1*sqrt(11) + sqrt(11) + -1))**2. -8*sqrt(11) + 48 Simplify 1 + (1 + sqrt(17))*-6 - ((sqrt(1377) - sqrt(1377)*2) + -2)**2. -1386 - 42*sqrt(17) Simplify 1 + 4*sqrt(117). 1 + 12*sqrt(13) Simplify ((sqrt(70) + sqrt(70)*2)/sqrt(10) + sqrt(7)*-2 + -1)**2. -2*sqrt(7) + 8 Simplify (-5 + -1*sqrt(363) + 2 + 0 + sqrt(363))**2. 9 Simplify -5 + (sqrt(5) - ((sqrt(125)*-1)**2 - sqrt(125))). -130 + 6*sqrt(5) Simplify (sqrt(1573) - ((sqrt(1573) + -3*sqrt(1573) + 1 - sqrt(1573)) + sqrt(1573)))**2 + 1. -66*sqrt(13) + 14159 Simplify (sqrt(72) + 3)**2*-6*1. -486 - 216*sqrt(2) Simplify (1 + -4 + sqrt(315)/sqrt(7))**2. -18*sqrt(5) + 54 Simplify ((sqrt(450) + sqrt(450)*1)/sqrt(10))/((sqrt(54)*3 - sqrt(54))/sqrt(6)). sqrt(5) Simplify ((sqrt(80) - sqrt(20)) + (sqrt(5) - 4*sqrt(20)/sqrt(4)))**2. 5 Simplify 4*(sqrt(33) + sqrt(99)/sqrt(3))/sqrt(11). 8*sqrt(3) Simplify sqrt(14)/(sqrt(2) + sqrt(18)) - (sqrt(252) + 1 + sqrt(252))**2. -1009 - 95*sqrt(7)/4 Simplify ((5*((sqrt(95) - sqrt(95)*2) + sqrt(95)) + sqrt(95))/sqrt(5)*-2*-3)**2. 684 Simplify -5*(sqrt(832) + -2 - sqrt(832)). 10 Simplify sqrt(567)/(2*sqrt(9)). 3*sqrt(7)/2 Simplify 5*(2 + sqrt(125)). 10 + 25*sqrt(5) Simplify sqrt(18)/(sqrt(12)/sqrt(2))*-6. -6*sqrt(3) Simplify sqrt(171)/(sqrt(36) + sqrt(9)) - -2*sqrt(1900). 61*sqrt(19)/3 Simplify sqrt(25)/sqrt(5)*-6 + (sqrt(500) + 0)**2 + sqrt(500). 4*sqrt(5) + 500 Simplify -2*sqrt(72) + (sqrt(2) - (sqrt(2) - sqrt(18)))**2 + 3. -12*sqrt(2) + 21 Simplify ((-2 + sqrt(80)*-1)*-6)**2. 576*sqrt(5) + 3024 Simplify (sqrt(600) - sqrt(600)*2)/((sqrt(12) - (sqrt(108) + sqrt(12)))*4). 5*sqrt(2)/12 Simplify 1*(-2 + sqrt(200) + sqrt(200) + sqrt(200))**2*-6. -10824 + 720*sqrt(2) Simplify (sqrt(24)*-3)/sqrt(12) + -5. -5 - 3*sqrt(2) Simplify -2*(sqrt(17) - sqrt(51)/sqrt(3)) + (sqrt(17) - (sqrt(833) - (-1 + sqrt(833)))). -1 + sqrt(17) Simplify (sqrt(416) - (sqrt(416) + sqrt(416)*-2 + sqrt(416)))/(sqrt(2) + sqrt(10)/sqrt(20)). 8*sqrt(13)/3 Simplify ((sqrt(1331) + 0)**2 - (sqrt(704) + 1))*1. -8*sqrt(11) + 1330 Simplify (4 + sqrt(180)/sqrt(4))**2 + -3. 24*sqrt(5) + 58 Simplify (-5 + sqrt(98) + 0 - sqrt(98)) + (sqrt(98) + 2)*2 + sqrt(98). -1 + 21*sqrt(2) Simplify 3*sqrt(33)/sqrt(3) + sqrt(44) + 0. 5*sqrt(11) Simplify (-4*sqrt(68)*1*-1)**2*-4. -4352 Simplify -5 + (sqrt(153) + (2*(sqrt(153) + -1*sqrt(153)) - sqrt(153)) + sqrt(153) + sqrt(153) + sqrt(153))/sqrt(9). -5 + 3*sqrt(17) Simplify -3 + sqrt(252) + sqrt(252) + -1 - (3 + (0 + sqrt(252))**2). -259 + 12*sqrt(7) Simplify sqrt(3)*1*-4 + (sqrt(3) - sqrt(24)/sqrt(128)) + sqrt(3). -9*sqrt(3)/4 Simplify (3*3*sqrt(76))/(1*sqrt(144)). 3*sqrt(19)/2 Simplify sqrt(35)/((sqrt(70)*-2)/sqrt(10))*1. -sqrt(5)/2 Simplify ((sqrt(700) + -1)*-6 + sqrt(700))**2. -600*sqrt(7) + 17536 Simplify sqrt(14)/sqrt(2)*-1 + -5. -5 - sqrt(7) Simplify (4 + sqrt(72) + 2 + -2 + sqrt(288))**2. 144*sqrt(2) + 664 Simplify (sqrt(84)/(-3*sqrt(48)) + 5)**2. -5*sqrt(7)/3 + 907/36 Simplify ((3*sqrt(1375))/sqrt(11)*2)**2. 4500 Simplify ((sqrt(48)*-2)/sqrt(8))/((2*sqrt(14))/sqrt(7) + sqrt(2) - sqrt(2)). -sqrt(3) Simplify (sqrt(1300) + 2 + 1 + (sqrt(1300)*-1*4 - sqrt(1300)))**2. -240*sqrt(13) + 20809 Simplify (sqrt(72) - sqrt(72)*-1 - 6*(1 + sqrt(2)))**2. -72*sqrt(2) + 108 Simplify (sqrt(216)/(sqrt(12)/sqrt(2)))/sqrt(12). sqrt(3) Simplify ((sqrt(114) + sqrt(114) + -2*sqrt(114)*2 + sqrt(114))/sqrt(6))**2. 19 Simplify (sqrt(539)/(sqrt(11)*-1))/sqrt(7). -sqrt(7) Simplify (sqrt(63)*1 + sqrt(63))/sqrt(9)*-2. -4*sqrt(7) Simplify (5*sqrt(14))/sqrt(7) + sqrt(14)/sqrt(7)*-4. sqrt(2) Simplify ((2*sqrt(136)*2 - sqrt(136) - sqrt(136) - sqrt(136))/(-2*sqrt(72)))**2. 17/36 Simplify sqrt(33)/(sqrt(1584)*-1). -sqrt(3)/12 Simplify (sqrt(400) - (sqrt(400) - -2*sqrt(400)))/sqrt(800). -sqrt(2) Simplify ((6*sqrt(121)*3)/(sqrt(880)/sqrt(5)))**2. 891/4 Simplify (3*(sqrt(65)*-2 - sqrt(65)) + sqrt(65))/((sqrt(5) - (sqrt(5) - 2*sqrt(5)))*-5). 4*sqrt(13)/5 Simplify sqrt(57)/sqrt(75)*-5. -sqrt(19) Simplify 3 + (sqrt(75)*4)**2. 1203 Simplify -1 + -4 + -1 + sqrt(98) + -1*sqrt(98)*-4. -6 + 35*sqrt(2) Simplify (1 + -1 + sqrt(1053) + -1)**2. -18*sqrt(13) + 1054 Simplify (sqrt(2) - (-3 + sqrt(4)/sqrt(2))) + sqrt(108)/sqrt(6). 3 + 3*sqrt(2) Simplify 5*sqrt(102)/sqrt(6)*-3*-4. 60*sqrt(17) Simplify sqrt(26)/(sqrt(8) + sqrt(2) - sqrt(2)) + sqrt(13) - (sqrt(26)/sqrt(2) + 0)**2. -13 + 3*sqrt(13)/2 Simplify -5*-1*(sqrt(91)/(sqrt(28)/sqrt(4)))**2*-4. -260 Simplify (sqrt(11) - sqrt(44)/(sqrt(36)/sqrt(9))) + sqrt(11) + 5 + -5. sqrt(11) Simplify (-1*sqrt(16))/((sqrt(56)/sqrt(4))/sqrt(7)). -2*sqrt(2) Simplify -2 + -5*(1 + sqrt(72) + sqrt(72)) + sqrt(72). -54*sqrt(2) - 7 Simplify (1 + (1 + sqrt(153))*-4)**2. 72*sqrt(17) + 2457 Simplify ((sqrt(77) - -1*(sqrt(77)*-2 - sqrt(77)))/((sqrt(7) - (sqrt(7) - sqrt(7)*2))*-3 - sqrt(7)))**2. 44/49 Simplify (-3 + sqrt(192) + 0 - (sqrt(192) - ((sqrt(192) - (-3 + sqrt(192) + 0 + sqrt(192))) + sqrt(192))))**2. 0 Simplify (6*(sqrt(65)/sqrt(5) + 2 - sqrt(637)*-1))**2. 1152*sqrt(13) + 30096 Simplify (sqrt(720)*-2)/((sqrt(9) - -1*sqrt(225) - sqrt(9)) + sqrt(9)). -4*sqrt(5)/3 Simplify (-4 + sqrt(21)/sqrt(3) - sqrt(7))**2 + 4 - (-2 + -4 + (sqrt(28)/sqrt(4))**2). 19 Simplify 4*(0 + sqrt(2) + sqrt(2) + 2) + -3*sqrt(128)*-2. 8 + 56*sqrt(2) Simplify (sqrt(8)*6 - sqrt(2)) + -5. -5 + 11*sqrt(2) Simplify ((sqrt(176)/sqrt(4))/sqrt(4) + sqrt(11))**2 + (4 + 0 + sqrt(11))**2 + sqrt(11) + (0 + sqrt(11))*1 + sqrt(11) + 1. 11*sqrt(11) + 72 Simplify ((4*sqrt(28)/sqrt(4) - (sqrt(63)/(sqrt(18)/sqrt(2)) + sqrt(7))) + 0)**2. 28 Simplify sqrt(7) - (sqrt(21)/sqrt(3) + 2) - 3*(-1*sqrt(7))**2. -23 Simplify 3*(2 + ((sqrt(11) - (-3 + sqrt(11))) + sqrt(11) - sqrt(11))). 15 Simplify -5 + sqrt(19) + sqrt(57)/sqrt(3) - (sqrt(114)*2)/sqrt(6). -5 Simplify (sqrt(650) - sqrt(26))/sqrt(2)*6. 24*sqrt(13) Simplify (sqrt(544) - sqrt(34))/sqrt(2) + sqrt(17) + (sqrt(34)/sqrt(2))**2 + 5 + 5. 4*sqrt(17) + 27 Simplify (1*sqrt(128))/(sqrt(48)/sqrt(300)). 20*sqrt(2) Simplify (sqrt(42)/(sqrt(42)/sqrt(7))*5)**2. 175 Simplify 4 + sqrt(17)*-2 - (-1 + sqrt(17))*2. -4*sqrt(17) + 6 Simplify (sqrt(432) - sqrt(432)*-2*-2 - sqrt(432) - sqrt(432))**2. 10800 Simplify ((sqrt(5) + (sqrt(500)/sqrt(10))/sqrt(10))*-1)**2. 20 Simplify (sqrt(80)/sqrt(4)*-1*-3)**2*4. 720 Simplify sqrt(52)/(2*sqrt(4)) + sqrt(117)/sqrt(225). 7*sqrt(13)/10 Simplify -1 + (sqrt(833) + 0 + sqrt(833) + -5)**2. -140*sqrt(17) + 3356 Simplify (3 + ((-1 + sqrt(128))*4)**2)*-6. -12402 + 1536*sqrt(2) Simplify sqrt(68)/sqrt(4) + sqrt(17) + 0 + 1. 1 + 2*sqrt(17) Simplify (sqrt(170)/(sqrt(250)*4))**2. 17/400 Simplify (-6*sqrt(99)*1)/(sqrt(9) - (-1*sqrt(90))/sqrt(10)) + 3. -3*sqrt(11) + 3 Simplify (sqrt(1573) + 0)**2*-3. -4719 Simplify 2*(sqrt(2) + sqrt(2)*1 + 1)**2 + -5. 8*sqrt(2) + 13 Simplify (3*sqrt(288) + -4 - (-1*sqrt(288) - sqrt(288))*2)**2. -672*sqrt(2) + 14128 Simplify 2*((-1*sqrt(3300))/sqrt(3)*-5)**2. 55000 Simplify (5*sqrt(228)*-1 + sqrt(228) + sqrt(228))/(-3*sqrt(12)*3). sqrt(19)/3 Simplify ((-6*sqrt(57)*1)/((sqrt(9) - (sqrt(9) + sqrt(81)))/sqrt(3)))**2. 76 Simplify (1 + 4 + sqrt(3))**2*4. 40*sqrt(3) + 112 Simplify (sqrt(13) - (sqrt(13) + (sqrt(52)/(sqrt(4)*-3) - sqrt(13))) - sqrt(13))**2 + sqrt(13) + (-3*sqrt(65)/sqrt(5))**2. sqrt(13) + 1066/9 Simplify ((sqrt(3) - 6*sqrt(12)/sqrt(4))*1)**2. 75 Simplify 0 + (sqrt(2) + sqrt(2) + 2 + sqrt(2)*-2)**2.
{ "pile_set_name": "DM Mathematics" }
k) = -13*k - 1. Let f(o) be the third derivative of o**5/60 - 273*o**2. Give f(n(m)). 169*m**2 + 26*m + 1 Let a(j) = 3*j**2. Let i(t) be the third derivative of t**5/60 + 5*t**3/6 + 59*t**2. Calculate i(a(c)). 9*c**4 + 5 Let w(h) = -5*h - 4. Let x(y) be the second derivative of y**3/3 + 95*y. Give x(w(p)). -10*p - 8 Let u(f) be the first derivative of f**2/2 + 77. Let a(s) = -218*s**2. Give u(a(k)). -218*k**2 Let v(u) = 0*u**2 + 15 - 5*u**2 - 29 + 14 + 2*u. Let z(y) = 14*y. Calculate v(z(d)). -980*d**2 + 28*d Let i(c) = 543*c. Let r(v) = 700*v**2. What is i(r(y))? 380100*y**2 Let c(o) = o**2 + 2*o - 9. Let y be c(5). Let q(m) = -18*m + 39*m - y*m. Let k(d) = 2*d**2. Give k(q(g)). 50*g**2 Let s(i) = -2*i**2. Let m(n) = -3*n - 10. Let k(r) = -r + 5. Let q(x) = 10*k(x) + 5*m(x). Give q(s(o)). 50*o**2 Let s(x) = -1. Let m(l) = 2. Let r(z) = z + 1. Let u(y) = -m(y) + 8*r(y). Let f(d) = 6*s(d) + u(d). Let n(v) = -2*v. Determine n(f(j)). -16*j Let t(v) = -11568*v. Let i(b) = 17*b**2. Determine t(i(a)). -196656*a**2 Let z(g) = -3*g**2. Let m(j) = 62345*j**2 - 3*j + 2. Calculate m(z(a)). 561105*a**4 + 9*a**2 + 2 Suppose -n = -5*k + 12, -5*n = 2*k + 3 + 3. Let b(z) be the first derivative of 1/3*z**3 + 5 + 0*z**k + 0*z. Let t(s) = -16*s**2. Determine b(t(d)). 256*d**4 Let m(j) be the second derivative of -j**3/3 - j. Suppose x + 4 = a, 3*x - 6 = -4*a - 4. Let k(r) = -6*r**2 + r**a - 3*r**2 + 6*r**2. Calculate m(k(i)). 4*i**2 Let k(j) = 8*j. Let g(d) = -d**2 - 10*d - 4. Let w be g(-10). Let f be (-25 + 5)*27/w. Let h(p) = 1 + f*p - 134*p - 1. Determine h(k(z)). 8*z Let n(i) be the third derivative of 19*i**4/12 + 54*i**2 - 1. Let q(c) = -4*c. Determine n(q(y)). -152*y Let v(d) be the third derivative of d**7/280 - d**5/20 + 3*d**2. Let a(g) be the third derivative of v(g). Let w(y) = -90750 + 90750 + 2*y. Determine w(a(o)). 36*o Let b be (99/(-110) - (-2)/5)*0. Let o(j) be the third derivative of 0*j + b + 2*j**2 - 1/12*j**4 + 0*j**3. Let s(q) = q**2. Give s(o(f)). 4*f**2 Let z(w) be the second derivative of w**4/6 - 5*w + 42. Let r(l) be the first derivative of -12*l**2 - 2. Calculate z(r(q)). 1152*q**2 Let v(j) = 5*j**2. Let x(g) be the first derivative of 0*g**2 + 7*g + 1/2*g**3 - 4. Let d(m) be the first derivative of x(m). Give d(v(l)). 15*l**2 Let n(m) = 8*m. Let o(i) be the third derivative of 11*i**5/20 + 99*i**2. What is o(n(r))? 2112*r**2 Let z(v) be the third derivative of v**4/12 - 5*v**3/2 - 11*v**2 - 185*v. Let p(x) = 10*x. Let t(b) = 3*b. Let u(h) = 4*p(h) - 14*t(h). Calculate z(u(n)). -4*n - 15 Let n(q) = -10*q - 1. Let c = 158 + 244. Let j(t) = c - 402 + t. Calculate j(n(b)). -10*b - 1 Let h(x) = -4*x**2 + 3*x**2 - 4*x**2. Let g(s) = s**2 + 160*s - 324*s + 164*s. Determine g(h(l)). 25*l**4 Let q(f) = -3*f**2. Let g(r) = 1785*r**2 - 70*r. Let p(t) = -149*t**2 + 6*t. Let v(h) = 3*g(h) + 35*p(h). Determine q(v(o)). -58800*o**4 Let b(n) = -1414*n - 1. Let r(p) = -21*p**2 + 2. What is b(r(m))? 29694*m**2 - 2829 Let a(s) = -1 - 28*s + 4 - 3. Let y(l) = 2*l**2. What is y(a(i))? 1568*i**2 Let w(q) = 20*q - 40*q + 19*q. Let v(z) = 888*z. Give v(w(b)). -888*b Let h(s) = -2 + 56*s - 58*s + 2. Let c(y) = -2*y + 6. Let d(f) = f - 1. Let k(r) = c(r) + 6*d(r). Give k(h(g)). -8*g Let d(g) = -932*g. Let v(r) = -109*r. Determine v(d(n)). 101588*n Let k(g) = -5*g. Let n(f) be the third derivative of -f**4/24 - 2*f**3/3 + 42*f**2. What is n(k(o))? 5*o - 4 Let r(l) = 8*l. Let x(u) = 70*u. Let g = -47 + 53. Let q(f) = g*x(f) - 52*r(f). Let t(w) be the third derivative of -w**5/60 + w**2. What is t(q(p))? -16*p**2 Let t(f) = -2*f. Let l(c) = -c**2 + 2*c + 13568. Give l(t(s)). -4*s**2 - 4*s + 13568 Let g(z) be the third derivative of 0 - 1/12*z**4 + 4*z**2 + 0*z + 0*z**3. Let v(u) = 22*u**2. What is v(g(f))? 88*f**2 Let a(x) = 2*x. Let m be (7 - 2)/(3 + 2*-1). Let j(v) = -7*v + m - 4 - 1. Determine a(j(h)). -14*h Let u(m) = -18*m**2. Let f(s) = 245*s - 245*s - 7*s**2. Calculate f(u(g)). -2268*g**4 Let a(r) = -8*r. Let i(p) = -934*p. Determine i(a(c)). 7472*c Let c(v) = 10*v + 9. Let d(q) = q. Let x(m) = -c(m) - 3*d(m). Let j(l) = -2*l - 3*l + 2*l - 2. Let y(h) = 18*j(h) - 4*x(h). Let a(k) = 3*k**2. Give a(y(n)). 12*n**2 Suppose 0*n = 7*n - 154. Let c(x) = -18*x**2 - 15*x**2 + 52*x**2 - n*x**2. Let i(k) = 25*k**2. What is c(i(w))? -1875*w**4 Let p(n) = -1341*n. Let s(k) = 9*k - 5. Let a(g) = 4*g - 2. Let d(u) = -5*a(u) + 2*s(u). Calculate d(p(v)). 2682*v Let v(r) be the second derivative of 0*r**2 - 1/4*r**4 + 0*r**3 - 8*r + 0. Let p(n) = -11 - 14 + 25 - 2*n. Determine v(p(x)). -12*x**2 Let u(x) = -14*x**2. Suppose -14*q = -0*q - 56. Let r(z) = -z + 0*z - q*z + 2*z. What is u(r(m))? -126*m**2 Let n(w) = -18*w**2. Let j(y) be the third derivative of -49*y**4/24 + 870*y**2. What is n(j(z))? -43218*z**2 Let s(p) = 30*p - 34*p - 11*p - 11*p. Let u(j) = -2*j**2. What is u(s(w))? -1352*w**2 Let k(n) = 24*n - 2. Let v(a) = -107*a + 9. Let s(x) = -9*k(x) - 2*v(x). Let b(r) = -r**2 - 356*r. Give b(s(j)). -4*j**2 + 712*j Let w(m) = 3*m**2 + 5*m + 10. Let i(t) = 2*t**2 + 3*t + 6. Let b(l) = -5*i(l) + 3*w(l). Let x(f) = -109*f**2. Give x(b(q)). -109*q**4 Let b(k) = 5*k**2 + 12*k**2 - 4*k**2. Let g(p) = -4*p**2 + 45*p - 18. Let c(u) = u**2 - 10*u + 4. Let x(w) = -9*c(w) - 2*g(w). Calculate x(b(o)). -169*o**4 Let z(l) = -3*l**2. Let u(s) = 18 - 12 - 7 + 0*s**2 + 4*s**2. What is z(u(r))? -48*r**4 + 24*r**2 - 3 Let x(i) = i. Let u(s) = -4*s**2 + 4. Let t be (10 - 7)*2/(-3). Let q(o) = -2. Let j(g) = t*u(g) - 4*q(g). What is j(x(f))? 8*f**2 Let d(o) = 2554016*o. Let y(r) = -r. Give d(y(b)). -2554016*b Let b(f) = 2*f**2. Let g(o) = -2*o - 30. Let i(k) = k + 15. Let u be (7 - 10) + (0 - 2). Let d(j) = u*i(j) - 3*g(j). Determine b(d(y)). 2*y**2 + 60*y + 450 Let k(j) be the third derivative of j**5/60 + 2*j**2 - 15*j. Let f(d) = -343*d**2. Give k(f(x)). 117649*x**4 Suppose 4*q + 2 - 10 = 0. Let l(h) = 1 - 1 + 15*h**q - h**2. Let a(y) be the second derivative of -y**3/3 + y. Determine a(l(i)). -28*i**2 Let y(u) = -82*u**2. Let x(a) = -84*a + 39*a + 43*a. Determine x(y(f)). 164*f**2 Let s(n) = -n + 1. Let v(t) be the third derivative of -t**4/6 + t**3/3 + t**2. Let d(i) = -2*s(i) + v(i). Let g(c) = -26*c. Calculate d(g(j)). 52*j Let b(q) be the first derivative of q**5/6 - q**4/12 - 26*q**3/3 + 17. Let d(x) be the third derivative of b(x). Let z(i) = -2*i**2. Determine z(d(p)). -800*p**2 + 160*p - 8 Let w(a) = -a. Let j(g) = -227683*g. Give w(j(t)). 227683*t Let l(m) = 6*m. Let q(u) = -8891*u**2 + 2*u. Calculate q(l(a)). -320076*a**2 + 12*a Let m(s) = -3*s**2. Let x(l) = 3*l**2 + 1. Let w(f) be the first derivative of -5 + 1/3*f**3 + f + 0*f**2. Let b(o) = -2*w(o) + 2*x(o). What is m(b(v))? -48*v**4 Let o = -4 + 6. Let q(s) = -o + 2 - s. Let r(y) = 6 - 2 + 0 - 4 + 8*y**2. Calculate r(q(h)). 8*h**2 Let x(s) = s - 1. Let u(l) = 3*l - 2. Let p(r) = -3*u(r) + 6*x(r). Let z be 4 + 1 - (4 + -6). Let q(o) = 3*o + 3*o - o - z*o. Give q(p(b)). 6*b Let p(u) = -6*u + 1. Let v(l) = 346*l + 3. Let k(x) = 4*p(x) - v(x). Let o(y) = 2*y. What is o(k(f))? -740*f + 2 Let h(j) = 9*j - 46. Let x be h(5). Let c(v) = v - 1. Let i(f) = 0 - 3 + 2 + 2*f. Let t(o) = x*c(o) + i(o). Let n(m) = -11*m. Give t(n(l)). -11*l Let l(c) = 259 - 259 + 2*c. Let r(q) be the first derivative of 2*q**3/3 - 14. What is l(r(b))? 4*b**2 Let g(j) = 3991*j. Let r(k) = k + 43. Give r(g(b)). 3991*b + 43 Let v(b) = 17*b**2. Let m(r) = -582*r + 598*r + 0 + 0. Calculate m(v(p)). 272*p**2 Let d(k) be the second derivative of -k**4/2 + 405*k. Let z(w) = 107*w**2. What is z(d(i))? 3852*i**4 Let o(f) = -13*f. Let g be 18*(5 + 53)*2/6. Let z(j) = 4*j + 348 - g. What is o(z(q))? -52*q Let q(j) = -7*j**2. Let s(f) = 84*f. Let w(i) = -5*i. Let u(x) = -2*s(x) - 33*w(x). Give u(q(k)). 21*k**2 Let w be 0 + 4/28 + (-4)/28. Let j(p) be the third derivative of -7*p**2 - 3/10*p**5 + 0 + 0*p**4 + 0*p**3 + w*p. Let z(r) = -r. Determine z(j(c)). 18*c**2 Let s(p) = 25*p**2 + 4. Let f(a) = -651*a**2 - 105. Let q(m) = -4*f(m) - 105*s(m). Let z(b) = b. Let l(g) = 5*g. Let j(i) = -l(i) + 3*z(i). Give q(j(w)). -84*w**2 Let p(k) = 0*k - 5*k + 3*k - 4*k. Let s be 24/18*6/4. Let n(o) = o + 0*o + 4*o - s*o. Determine n(p(v)). -18*v Let c(k) = -45*k**2. Let
{ "pile_set_name": "DM Mathematics" }
(396)) + -1)**2 - (-2*sqrt(11) + -1 + 3). -46*sqrt(11) + 6335 Simplify (5 + sqrt(1573) + (sqrt(1573) - ((-1 + sqrt(1573))*3 + sqrt(1573))) + 0)**2. -352*sqrt(13) + 6356 Simplify (sqrt(567)*-2 + -2 - (4*(sqrt(567) - (-2*sqrt(567) + sqrt(567))) + sqrt(567)))**2*1. 396*sqrt(7) + 68611 Simplify ((5*((-3 + sqrt(162) + sqrt(162) + sqrt(162))**2 - sqrt(162)) - sqrt(162)) + sqrt(162))*4*-1. -29340 + 3420*sqrt(2) Simplify (-6*(sqrt(448) - (sqrt(448)*4 - sqrt(448))))**2 - (5 + (-2*sqrt(448))**2). 62715 Simplify 5*((sqrt(117) + 2 - sqrt(117)) + -5 + 4*(-1 + sqrt(117)) + -4)**2. -1320*sqrt(13) + 9965 Simplify ((-3 + sqrt(1872))**2 + -4 - -2*(sqrt(1872)*-2 - sqrt(1872))**2) + 1. -72*sqrt(13) + 35574 Simplify 3 + sqrt(891)*-1 - ((sqrt(396) + 2 - sqrt(396))**2 + 3). -9*sqrt(11) - 4 Simplify -6*5*(-2 + (sqrt(320) + 3)**2 + -5). -9660 - 1440*sqrt(5) Simplify 3 + ((sqrt(1872) + -1)**2 - 2*(sqrt(117))**2 - (sqrt(468) + 0 + 4)**2). -72*sqrt(13) + 1158 Simplify (5 + 1 + ((sqrt(567) - (1*sqrt(567) + sqrt(567)) - sqrt(567)) + sqrt(567) + sqrt(567) + sqrt(567))/sqrt(9))**2 + -4. 95 + 36*sqrt(7) Simplify (4*(sqrt(64) + (sqrt(64) - (sqrt(64) - (sqrt(64) + sqrt(64)*-2))*-6)))/((sqrt(336)/(1*sqrt(7)))/sqrt(6)). 112*sqrt(2) Simplify ((sqrt(700) + 0 + -3 + sqrt(700) + 1 + (sqrt(700) - (-2 + sqrt(700))))*2)**2. 11200 Simplify 3*(((-1*sqrt(15)*-2)/sqrt(3) - (-5 + sqrt(320))) + -4). -18*sqrt(5) + 3 Simplify sqrt(363) + 4 + 3*sqrt(363) + (sqrt(363) - (sqrt(363) - (1 + (sqrt(363) - -5*sqrt(363)))))**2. 176*sqrt(3) + 13073 Simplify 1*(-1*(sqrt(117) + 3*sqrt(117) - sqrt(117)) - ((sqrt(117) - (1 + sqrt(117) + sqrt(117))**2) + -5)) + 5. 479 Simplify ((-3 + sqrt(18) - sqrt(2)) + 0 + sqrt(32))**2 + -3 + sqrt(72) + (sqrt(72) + 0 - sqrt(72))**2 + -5 + (sqrt(72) + -1 + sqrt(72))**2 + -4. -54*sqrt(2) + 358 Simplify (sqrt(304) + 6*1*sqrt(304) + -2)*-2. -56*sqrt(19) + 4 Simplify -2 + (5 + -5 + 4 + -1 + sqrt(720) + sqrt(720) + sqrt(720))**2 + 4. 216*sqrt(5) + 6491 Simplify 0 + (sqrt(45)/(sqrt(45)/sqrt(5)) + sqrt(5) + -3 - (3*sqrt(605) + -4))**2. -62*sqrt(5) + 4806 Simplify (-1*(-2 + sqrt(5)*-4 - (sqrt(500) + -4)))**2. -56*sqrt(5) + 984 Simplify (6*sqrt(32)/sqrt(8))/(sqrt(8)/(-5*sqrt(4))). -30*sqrt(2) Simplify (4*(sqrt(2100)*1 - sqrt(2100)))/(1*sqrt(7)*-5 + sqrt(7) - sqrt(7) - sqrt(84)/(sqrt(48)/sqrt(4) + sqrt(12))). 0 Simplify (sqrt(468) - 1*sqrt(468))/(sqrt(40)/(sqrt(40)/sqrt(4) + sqrt(10))). 0 Simplify ((sqrt(408)*-1*6)/sqrt(8))/((sqrt(300) - (sqrt(300)*3 + sqrt(300)))*5). sqrt(17)/25 Simplify (-3*(sqrt(704) - -3*(1 + sqrt(704))) + 5*(sqrt(704)*-2*-4 - sqrt(704)))**2. -3312*sqrt(11) + 372497 Simplify (1*(-5 + 6*(sqrt(300)*1 + 1)))**2. 120*sqrt(3) + 10801 Simplify -2 + ((sqrt(2299) + 2 + -4)**2 - ((sqrt(684) - sqrt(684)*1) + sqrt(684) + sqrt(684) + -5)**2). -460 + 76*sqrt(19) Simplify (-1*((sqrt(65)*-1*-2 - sqrt(65)) + sqrt(65)))/(sqrt(45)*-2*4). sqrt(13)/12 Simplify 5 + -3*(2*sqrt(475)*-4 - 2*(-1 + sqrt(475) - sqrt(475)))**2. -91207 + 480*sqrt(19) Simplify (4 + (sqrt(1216) - 2*sqrt(1216)))**2 + -1*(1*sqrt(76) + sqrt(19))**2. -64*sqrt(19) + 1061 Simplify ((sqrt(8) - sqrt(24)/(sqrt(9)/sqrt(3)))*-2)**2 + ((4*sqrt(16))/(sqrt(4)/sqrt(2)*-6))**2. 32/9 Simplify -3 + -1 + 2*sqrt(931) + 4*((sqrt(1216) + 1)**2 + 2). 78*sqrt(19) + 4872 Simplify 1 + -5*1*(sqrt(180) + 0) + (3 + (sqrt(180) + 0 - sqrt(180)) - (-1*sqrt(180) + sqrt(180))*-5). -30*sqrt(5) + 4 Simplify ((sqrt(264)*1)/sqrt(11) - (sqrt(24) + -1*sqrt(24)*3))/(6*6*(sqrt(192) + sqrt(12))). sqrt(2)/60 Simplify -5*-6*(6*(sqrt(252) + 1) + sqrt(252) + 0)**2. 15120*sqrt(7) + 371520 Simplify (5*-1*sqrt(66) + sqrt(66) - (sqrt(66) - (sqrt(66) - 2*1*sqrt(66))))/(sqrt(24) - sqrt(96)/sqrt(4)*6). 3*sqrt(11)/5 Simplify ((4*(sqrt(224) - (sqrt(224) - 2*sqrt(224)) - sqrt(224)))/((3*((sqrt(14) - sqrt(686)) + sqrt(14)))/sqrt(2)))**2. 512/225 Simplify (-3 + 2 + (sqrt(117) - (sqrt(117) + 0)) - (3*(sqrt(117) - -2*sqrt(117)) - sqrt(117) - sqrt(117) - -1*2*sqrt(117)))**2 + -2. 54*sqrt(13) + 9476 Simplify (3*-3*sqrt(65)*-1)/(-4*-1*sqrt(45)). 3*sqrt(13)/4 Simplify -4*((sqrt(130) + (2*sqrt(130) - sqrt(130))*-2 + sqrt(130))/sqrt(10) - sqrt(143)/(2*sqrt(1100))). sqrt(13)/5 Simplify (2 + -3*sqrt(833) + 5)**2 + -3. -294*sqrt(17) + 7543 Simplify (-1 + (sqrt(2736)*-1*3)**2 + sqrt(2736) + sqrt(2736) + -4 + (sqrt(2736) - (sqrt(2736) - sqrt(2736)*-1)) + 1)*3. 36*sqrt(19) + 73860 Simplify ((((-5*(sqrt(130) + sqrt(130)*-1) - sqrt(130)) + sqrt(130))*6)/((sqrt(10) + sqrt(50)/sqrt(5) + sqrt(10))*-5*-5))**2. 0 Simplify (-2*(sqrt(252) + -1))**2 + (0 + sqrt(175) - sqrt(63)/(sqrt(27)/sqrt(3)))**2 + -4. -48*sqrt(7) + 1120 Simplify 0 + ((sqrt(33)/sqrt(3) + sqrt(11))*-6)**2 + (1*sqrt(1100)*-3)**2. 11484 Simplify ((sqrt(130) + 2*sqrt(130)*3)*5)/(sqrt(60)/sqrt(96) - (sqrt(60)/sqrt(3))/sqrt(2)). -140*sqrt(13)/3 Simplify 5 + ((-5*(sqrt(800)*2 + sqrt(800)))**2 - (sqrt(800)*-2 + -2)**2) + 0. -160*sqrt(2) + 176801 Simplify sqrt(63)*3 + 3 - (sqrt(2268) - -2*sqrt(2268)). -45*sqrt(7) + 3 Simplify (sqrt(104) + (sqrt(104)*4*-5 - sqrt(104)))/(sqrt(162) - -1*(3*sqrt(162) + sqrt(162))). -8*sqrt(13)/9 Simplify sqrt(35)/(3*sqrt(63)) + -1 + sqrt(80) + 1 + sqrt(5) + 1. 1 + 46*sqrt(5)/9 Simplify (sqrt(176) + -3*(sqrt(176) + 4) + (0 + sqrt(176))*-1)**2. 288*sqrt(11) + 1728 Simplify 3*(sqrt(475)*1)**2 - ((sqrt(19)*-1)**2*-5 - (sqrt(228)/(sqrt(48) + sqrt(12) - sqrt(12)))**2). 6099/4 Simplify (-1*-3*sqrt(272) + -1)**2 - (1*sqrt(272) + 5 - (-1 + sqrt(272) + sqrt(272) + -1))**2. 32*sqrt(17) + 2128 Simplify ((sqrt(176) + sqrt(176)*-4*3)/sqrt(11))/(3*4*sqrt(32)/sqrt(4)). -11*sqrt(2)/12 Simplify 6*(sqrt(5324) + sqrt(5324)*-2) - (-1 + sqrt(1331) + 1 + -5). -143*sqrt(11) + 5 Simplify (((sqrt(475) - (2 + sqrt(475))) + 3)*-1 - -1*(-4 + 2*sqrt(475)))**2. -100*sqrt(19) + 1925 Simplify ((sqrt(625) + 1*sqrt(625) + sqrt(625))*-4)/(sqrt(25)/(sqrt(5) + -2*sqrt(5))*5). 12*sqrt(5) Simplify (4*sqrt(500)*2*1*-5 + 0)**2. 800000 Simplify 0 + (6*3*(-4*sqrt(891) + sqrt(891)))**2. 2598156 Simplify ((sqrt(18)/sqrt(3))/sqrt(3) + sqrt(2) + sqrt(2) - (sqrt(24) + (sqrt(24) - -1*sqrt(24)))/sqrt(12))*-3*2. 0 Simplify (-2*-1*sqrt(931)*4 + 3)*-1. -56*sqrt(19) - 3 Simplify 0 + -3*-5*-1*sqrt(2)*-5. 75*sqrt(2) Simplify 3 + ((-4 + -1*sqrt(11))**2 - (-3 + sqrt(77)/sqrt(7))**2)*6. 45 + 84*sqrt(11) Simplify (0 + -4 + (sqrt(448) + ((-4 + -1 + sqrt(448))**2 - sqrt(448) - sqrt(448)) - (sqrt(448) + (sqrt(448)*-1)**2 + 4)))*2. -192*sqrt(7) + 34 Simplify 2*((0 + sqrt(363))*3)**2 + ((sqrt(432) + 0)*-5 - -1*sqrt(432)*1). -48*sqrt(3) + 6534 Simplify ((1*sqrt(162))/sqrt(9))/((sqrt(108) - (sqrt(108) + (sqrt(108)*1 + sqrt(108) - sqrt(108))))/sqrt(12)) - ((sqrt(1280) - -2*sqrt(1280))/sqrt(10) + -5). -25*sqrt(2) + 5 Simplify (1*(-5 + 5 + sqrt(7)*-1 + sqrt(7) + (sqrt(28) + 3 - sqrt(7))))**2. 6*sqrt(7) + 16 Simplify (sqrt(5445) + sqrt(5445)*-3)/sqrt(9) + sqrt(35)/(sqrt(7) + sqrt(112))*-4. -114*sqrt(5)/5 Simplify (5*((1*sqrt(275) + sqrt(275))*3 - (sqrt(275) + 0 + sqrt(275) + 3) - (-3 + sqrt(275)*2 + (1 + sqrt(275))*6)))**2. 6000*sqrt(11) + 110900 Simplify (((1*sqrt(171) - sqrt(171))/sqrt(9) - -4*sqrt(19)*-2) + sqrt(228)/(sqrt(12)*-2*-6))**2. 171475/144 Simplify (sqrt(5103)*-1 + (sqrt(567) - sqrt(567)*-2 - sqrt(567) - sqrt(567)))/(((sqrt(81) - sqrt(81)*-2)*-3)/sqrt(9)). 2*sqrt(7)/3 Simplify (2 + 1 + sqrt(567) - (-2 + ((sqrt(567) + -1*sqrt(567))**2 - sqrt(567)) - sqrt(567))) + -1. 4 + 27*sqrt(7) Simplify ((sqrt(931) - (-3 + sqrt(931))*2)*-4)**2*-3. -46416 + 4032*sqrt(19) Simplify ((2*(sqrt(99) - (2*sqrt(99) - sqrt(99))) - sqrt(99))*-2)/((sqrt(1089) - -2*sqrt(1089)*-4) + sqrt(1089)). -sqrt(11)/33 Simplify (((sqrt(88) - (sqrt(88) + -2*sqrt(88) - sqrt(88))) + sqrt(88) + sqrt(88) + sqrt(88))*4 + -3*sqrt(88)*2)/((sqrt(800) - -1*sqrt(800))*6). 3*sqrt(11)/20 Simplify ((-1*(sqrt(30) + -1*sqrt(1920)))/(-2*(sqrt(1210) + (sqrt(1210) - (-2*sqrt(1210) - sqrt(1210))))))**2. 147/12100 Simplify ((sqrt(54) + sqrt(54) + sqrt(7776)*-1)/sqrt(6))/(sqrt(432) - ((sqrt(432) + 2*sqrt(432))*6 + sqrt(432))). 5*sqrt(3)/108 Simplify (sqrt(288)*-1 + sqrt(288) - sqrt(288))/(sqrt(99)/sqrt(176)). -16*sqrt(2) Simplify (sqrt(1008)*1 - 3*sqrt(175) - -3*(sqrt(14)/sqrt(2) + -3))**2. 81 Simplify -5 + sqrt(320)/sqrt(4)*-3*5. -60*sqrt(5) - 5 Simplify (-1*(sqrt(1539) + 0 - sqrt(931)*-2) + 3 + -1)**2. -92*sqrt(
{ "pile_set_name": "DM Mathematics" }
-2*w - 8 = -144. List the prime factors of w. 2, 17 Suppose -5*p + 3*q = -384, 1 = q - 1. List the prime factors of p. 2, 3, 13 Let d(j) = j**3 + 3*j**2. Let o be d(-3). Suppose o = -h + 2*h - 2*n - 11, -2*h - 14 = 5*n. Suppose -36 = -0*s - h*s. List the prime factors of s. 2, 3 Let w(c) = -c**2 - 9*c + 13. What are the prime factors of w(-8)? 3, 7 Let q = -28 + 34. What are the prime factors of q? 2, 3 Suppose 5 - 125 = -3*r. Suppose -r = -g - 4*g. What are the prime factors of g? 2 List the prime factors of -7*(3 + -6) + 1. 2, 11 Let q be (2 - (1 - 0))*5. Suppose 0 = q*r - 3*f - 6, -2*r - 3*f = f - 18. Suppose 0 = 3*i - r*j - 0*j - 27, 5*i - 57 = j. List the prime factors of i. 2, 3 Suppose 139 = 3*j - 56. List the prime factors of j. 5, 13 Let s = 205 - 136. Let b = -14 + s. List the prime factors of b. 5, 11 Suppose 2*a - q = 242, q = 2*a + a - 362. Suppose v + 4*p = p + 44, 3*v = 3*p + a. Let i = v - 29. What are the prime factors of i? 2, 3 Let a(q) = q**3 + q**2 + 6. Let d(l) = -l - 1. Let z(n) = -2*n - 2. Let m(y) = -3*d(y) + 2*z(y). Let j be m(-1). List the prime factors of a(j). 2, 3 Let w(l) = -4*l + 5. List the prime factors of w(-13). 3, 19 Suppose -2*h + 546 = -4*n, -5*n = 3*h - 6*n - 829. List the prime factors of h. 277 Suppose 63 = 4*c - 9. List the prime factors of c. 2, 3 Let m = 234 - 121. What are the prime factors of m? 113 Let g(v) = 0 + 1 + 2*v + 4 - 2. Let j be g(12). Suppose j = -d + 4*d. What are the prime factors of d? 3 Suppose 1 = n - 3. Suppose 0 = -6*t - 12. Let a = t + n. List the prime factors of a. 2 Let c = -2 - 2. Let s(g) = -g**2 - 6*g - 2. What are the prime factors of s(c)? 2, 3 Suppose 4*x - 2*c - 112 = 0, -x = -c - 8 - 18. What are the prime factors of x? 2, 3, 5 Let j = -4 - -3. Let u be (j + 1 + 0)/3. Suppose 0 = 5*s + 3*z - 96, -2*s - 3*z + 42 = -u*s. List the prime factors of s. 2, 3 Let d(p) = -4*p**3 + 2*p**2 + 3*p - 1. What are the prime factors of d(-3)? 2, 29 What are the prime factors of (-568)/(-28) + (-4)/14? 2, 5 Let l(h) = -h**2 - 4*h - 2. Let v be l(-2). Suppose 0 = 2*i - 2, 4*x - 37 = -v*i - 3*i. List the prime factors of x. 2 Suppose 45 = -4*z - h, h = -z - 3*h - 15. Let w(k) = k**3 + 11*k**2 - 2*k - 13. What are the prime factors of w(z)? 3 Suppose 2*k - 4 = 2. Let r(p) = 2*p**2 + p - 1. List the prime factors of r(k). 2, 5 Suppose 6*c - 2*h - 7 = 3*c, h = -c + 9. Suppose -c*u + 22 = -4*u. Suppose y - 4*y + 3*s = -39, -2*y + s = -u. List the prime factors of y. 3 Suppose -4*k = k + 2*c - 141, 93 = 3*k - 3*c. What are the prime factors of k? 29 Let j = -9 + 3. Let b = 6 - j. List the prime factors of b. 2, 3 Suppose -8*m + 12*m - 200 = 0. List the prime factors of m. 2, 5 Let c(k) be the second derivative of -k**3/3 + 3*k**2/2 + k. Suppose -6*o = -2*o + 20. What are the prime factors of c(o)? 13 Let o(r) = r - 5. Let y be o(5). What are the prime factors of (0 - 4)/(y + -1)? 2 Let g(z) be the third derivative of -13*z**4/24 - 7*z**3/6 + 2*z**2. Let d(c) = -7*c - 4. Let x(s) = -11*d(s) + 6*g(s). What are the prime factors of x(-6)? 2 Let i = 27 - 25. Suppose -10 = -2*j + 2*r + 2*r, -4*j = 3*r - 9. Suppose j = -g + i*g. What are the prime factors of g? 3 Suppose 0 = 4*w - 160 - 96. Let y = -44 + w. List the prime factors of y. 2, 5 Let x(l) = 7*l**2. Let c be x(-1). Suppose -c*p + 3*p = -116. What are the prime factors of p? 29 Let o(s) = -s**2 + 2*s + 6. Let g be o(6). Let a = 33 + g. List the prime factors of a. 3, 5 Let q(p) = p**3 - 9*p**2 + 3*p - 4. Let w be q(9). Suppose -5*m + 72 = -w. List the prime factors of m. 19 Suppose -4*h + 129 = 5. Suppose 2*r - 3*r + h = 5*b, 3*b = 15. Let i = 1 + r. List the prime factors of i. 7 Let v be (-15)/(-20) - 23/4. Let j = 0 - v. What are the prime factors of j? 5 Suppose 0*y + 5*y - 35 = -5*i, 5 = y. Suppose -39 = -u - i*u - 2*p, -2*p + 6 = 0. What are the prime factors of u? 11 Let x(r) = -r**3 - 10*r**2 - 8*r + 9. Suppose -24 - 12 = 4*v. Let g be x(v). What are the prime factors of 7/(2/2) + g? 7 Suppose 34 = -0*k + k. Suppose 0 = 2*j - 0*j - k. What are the prime factors of j? 17 Let t be (-1)/(-2 - 14/(-6)). List the prime factors of t/1 + (-3 - -8). 2 Let m(w) = w**2 - 8*w + 6. Let n be m(6). Let r(g) = g**2 + 6*g + 7. What are the prime factors of r(n)? 7 List the prime factors of (4/(-5))/((-12)/30). 2 Suppose 0*u + u = 4*h - 7, -2 = -2*u + 4*h. Suppose -72 = 5*j - u*j. List the prime factors of j. 2, 3 List the prime factors of 2/5 - (-2496)/60. 2, 3, 7 Let r = -2 + 1. Let u(a) = a**2 - 7*a + 1. Let c be u(7). Let o = c - r. What are the prime factors of o? 2 Let z be (-2)/1*(-3)/(-2). Let v be ((-2)/z)/(1/(-72)). What are the prime factors of v/(-4) + 0 + 0? 2, 3 Let b = -13 + 15. List the prime factors of b. 2 What are the prime factors of -12*7/(-42) - 317*-1? 11, 29 Let p(h) = 5*h - 2 + 2*h**2 - 3*h**2 + 0*h**2. Let g be p(3). Suppose -4*o + g = 0, 2*o + o = -w + 14. What are the prime factors of w? 11 Let n(p) = -3*p. Let x(b) = -3*b + 1. Let y(a) = -3*n(a) + 4*x(a). Let v be y(-3). Let w = v - 1. What are the prime factors of w? 2, 3 Let x = -21 - -43. Suppose 2*o - 3 = u - 2*u, -5*u - 3*o + x = 0. What are the prime factors of u? 5 Let d(r) = -r**2 + 10*r - 8. Let v be -1 + 9 - (2 + -2). Let c be d(v). Let t = c + -1. List the prime factors of t. 7 Suppose 9*x - 7*x - 366 = 0. List the prime factors of x. 3, 61 Suppose 0 = 3*n + 3*w + 6, 3*n - 2*w = -3*w + 2. Let t = 8 + n. Suppose t = 2*r, 0 = d + 2*d + 5*r - 73. List the prime factors of d. 2 What are the prime factors of (7/(-14))/(1/(-6))? 3 Let w be 4/(-14) - 2108/(-28). Suppose 8*s - w = 3*s. What are the prime factors of s? 3, 5 Let o be (-193 - 2)*(-2)/5. Suppose -3*y + o = 3*w, y = 5*w - 0 - 4. List the prime factors of y. 3, 7 Let i = 1 + 2. Suppose 2*a - 4*y = 34, i*y = 2*a - 18 - 12. List the prime factors of a. 3 Let g(x) = -16*x. List the prime factors of g(-2). 2 Let c(z) = -z**3 - 6*z**2 - 8*z - 6. Let q be c(-5). Let n be -5 + -1 + 0/6. Let l = n + q. What are the prime factors of l? 3 Suppose 0 = 5*y - 5*m - 420, 3*y - 5*m - 49 = 209. List the prime factors of y. 3 Let m(z) = 5*z + 4 + z**3 - 7*z**2 + 3 + 0. Let s be m(6). Suppose 8 - s = f. What are the prime factors of f? 7 Let p(g) = g**2 + 17*g - 49. What are the prime factors of p(-21)? 5, 7 What are the prime factors of 46*(9 + -1 + 0)? 2, 23 Suppose 3*d + 30 = 8*d. Suppose d*p - 9 = 3*p. List the prime factors of p. 3 Suppose 0 = 2*c - 5*q - 171, c + 2*q = -2*q + 53. What are the prime factors of c? 73 Suppose 1 = n - 1. Suppose 5*g - n*q = -q + 22, 2*g = -q + 13. List the prime factors of g. 5 Let j(t) = -t**3 - 22*t**2 - 4*t - 3. List the prime factors of j(-22). 5, 17 Let j(h) = -h**3 - 5*h**2 - 3*h + 5. Let u be j(-4). List the prime factors of (7 - (u + -4)) + 0. 2, 5 List the prime factors of (-336)/(-30) - (-2)/(-10). 11 Suppose 3*o - 3 = 0, -5*m = -m - 4*o - 20. Let q(z) = -z**2 + 8*z - 8. Let c be q(m). Suppose c*y - 85 = -y. What are the prime factors of y? 17 Let c be 0 - 7/(2 - 1). Let q(a) = -11*a**2 - 13*a + 38. Let l(k) = -7*k**2 - 9*k + 25. Let d(z) = 8*l(z) - 5*q(z). List the prime factors of d(c). 2, 5 Suppose -3*s + x + 119 = 0, 3*s = -0*s - 5*x + 107. List the prime factors of s. 3, 13 Suppose -590 = 4*j - 9*j. What are the prime factors of j? 2, 59 Let u(n) = 2*n**2. Let g be 6 - (-2 + 2) - 1. Suppose 3*w = -4*i + 8, -g*i + 4*w = -0*i - 10. What are the prime factors of u(i)? 2 List the prime factors of 1*(-7)/(-2)*12. 2, 3, 7 Let g = -57 - 0. Let i = -40 - g. Suppose 3*n - 3*o = o + 53, 2*n = -o + i. What are the prime factors of n? 11 Suppose 0 = -5*v - 5*j + 54 - 9, 2*v - 19 = -j. List the prime factors of (-20)/8*(-8)/v. 2 Let m(u) be the first derivative of 1 - 1/3*u**3 + 7/2*u**2 - 5*u. What are the prime factors of m(4)? 7 Suppose -4 = 4*x, 5*j - x - 303 = 2*x. Suppose 4*o - j = -o. What are the prime factors of o? 2, 3 Suppose j + 2*j - 37 = -m, -5*j + m + 51 = 0. Suppose 121 = 5*v + j. List the prime factors of (3 - v)*2/(-2). 19 Let i(q) = 5*q**2 - 1. Let p be i(-1). Let m be (-164)/(-16) - 1/p. Suppose m = y - 10. List the prime factors of y. 2, 5 Let b(a) = a**3 + 6*a**2 - a - 6. Let w be b(-6). Suppose w*i - 17 = -i. List the prime factors of i. 17 Let g(s) = -3*s
{ "pile_set_name": "DM Mathematics" }
What is the remainder when 302 is divided by 268? 34 Calculate the remainder when 296 is divided by 180. 116 Calculate the remainder when 261 is divided by 76. 33 Calculate the remainder when 766 is divided by 75. 16 Calculate the remainder when 37 is divided by 5. 2 Calculate the remainder when 146 is divided by 77. 69 Calculate the remainder when 323 is divided by 104. 11 What is the remainder when 134 is divided by 25? 9 Calculate the remainder when 245 is divided by 14. 7 What is the remainder when 3426 is divided by 263? 7 Calculate the remainder when 362 is divided by 31. 21 Calculate the remainder when 205 is divided by 13. 10 Calculate the remainder when 1647 is divided by 16. 15 Calculate the remainder when 16081 is divided by 34. 33 Calculate the remainder when 92 is divided by 48. 44 Calculate the remainder when 1144 is divided by 40. 24 What is the remainder when 758 is divided by 76? 74 What is the remainder when 193 is divided by 14? 11 Calculate the remainder when 293 is divided by 254. 39 What is the remainder when 502 is divided by 46? 42 What is the remainder when 408 is divided by 99? 12 What is the remainder when 2231 is divided by 9? 8 Calculate the remainder when 542 is divided by 50. 42 Calculate the remainder when 3653 is divided by 62. 57 Calculate the remainder when 1494 is divided by 19. 12 What is the remainder when 1073 is divided by 19? 9 Calculate the remainder when 427 is divided by 108. 103 Calculate the remainder when 237 is divided by 118. 1 Calculate the remainder when 525 is divided by 47. 8 Calculate the remainder when 3329 is divided by 5. 4 What is the remainder when 968 is divided by 320? 8 What is the remainder when 561 is divided by 135? 21 What is the remainder when 2583 is divided by 19? 18 Calculate the remainder when 50 is divided by 6. 2 Calculate the remainder when 1310 is divided by 10. 0 What is the remainder when 35 is divided by 7? 0 What is the remainder when 930 is divided by 12? 6 What is the remainder when 69 is divided by 10? 9 What is the remainder when 258 is divided by 2? 0 Calculate the remainder when 962 is divided by 468. 26 What is the remainder when 445 is divided by 7? 4 What is the remainder when 48 is divided by 17? 14 Calculate the remainder when 282 is divided by 127. 28 Calculate the remainder when 470 is divided by 209. 52 What is the remainder when 198 is divided by 50? 48 Calculate the remainder when 1418 is divided by 19. 12 What is the remainder when 416 is divided by 134? 14 Calculate the remainder when 1427 is divided by 13. 10 Calculate the remainder when 305 is divided by 103. 99 What is the remainder when 246 is divided by 75? 21 Calculate the remainder when 207 is divided by 62. 21 What is the remainder when 28 is divided by 24? 4 Calculate the remainder when 1259 is divided by 28. 27 What is the remainder when 3463 is divided by 77? 75 Calculate the remainder when 1337 is divided by 149. 145 Calculate the remainder when 856 is divided by 13. 11 What is the remainder when 4 is divided by 4? 0 Calculate the remainder when 929 is divided by 31. 30 Calculate the remainder when 745 is divided by 86. 57 Calculate the remainder when 1705 is divided by 28. 25 What is the remainder when 593 is divided by 18? 17 Calculate the remainder when 5773 is divided by 444. 1 What is the remainder when 123 is divided by 61? 1 Calculate the remainder when 629 is divided by 45. 44 Calculate the remainder when 202 is divided by 19. 12 What is the remainder when 275 is divided by 25? 0 Calculate the remainder when 779 is divided by 176. 75 What is the remainder when 5231 is divided by 19? 6 Calculate the remainder when 657 is divided by 322. 13 Calculate the remainder when 188 is divided by 32. 28 What is the remainder when 1325 is divided by 83? 80 Calculate the remainder when 635 is divided by 13. 11 What is the remainder when 503 is divided by 232? 39 What is the remainder when 242 is divided by 126? 116 Calculate the remainder when 1435 is divided by 21. 7 What is the remainder when 1069 is divided by 63? 61 Calculate the remainder when 578 is divided by 51. 17 What is the remainder when 6901 is divided by 46? 1 Calculate the remainder when 36 is divided by 7. 1 What is the remainder when 704 is divided by 105? 74 Calculate the remainder when 1603 is divided by 11. 8 Calculate the remainder when 180 is divided by 52. 24 What is the remainder when 497 is divided by 103? 85 Calculate the remainder when 737 is divided by 24. 17 What is the remainder when 88 is divided by 87? 1 Calculate the remainder when 1812 is divided by 122. 104 Calculate the remainder when 53 is divided by 29. 24 What is the remainder when 180 is divided by 80? 20 What is the remainder when 193 is divided by 65? 63 Calculate the remainder when 324 is divided by 100. 24 What is the remainder when 54 is divided by 29? 25 What is the remainder when 402 is divided by 17? 11 Calculate the remainder when 997 is divided by 22. 7 Calculate the remainder when 323 is divided by 25. 23 What is the remainder when 232 is divided by 35? 22 What is the remainder when 1014 is divided by 203? 202 Calculate the remainder when 447 is divided by 77. 62 What is the remainder when 4338 is divided by 145? 133 What is the remainder when 940 is divided by 310? 10 Calculate the remainder when 894 is divided by 240. 174 What is the remainder when 89 is divided by 46? 43 What is the remainder when 973 is divided by 16? 13 Calculate the remainder when 2719 is divided by 136. 135 What is the remainder when 595 is divided by 246? 103 What is the remainder when 22 is divided by 7? 1 What is the remainder when 74 is divided by 23? 5 Calculate the remainder when 810 is divided by 11. 7 What is the remainder when 1784 is divided by 138? 128 Calculate the remainder when 528 is divided by 523. 5 What is the remainder when 311 is divided by 110? 91 What is the remainder when 12143 is divided by 132? 131 Calculate the remainder when 1344 is divided by 666. 12 What is the remainder when 469 is divided by 245? 224 Calculate the remainder when 2483 is divided by 8. 3 What is the remainder when 1090 is divided by 47? 9 Calculate the remainder when 564 is divided by 561. 3 What is the remainder when 95 is divided by 2? 1 What is the remainder when 30 is divided by 19? 11 What is the remainder when 1046 is divided by 104? 6 What is the remainder when 559 is divided by 33? 31 Calculate the remainder when 9150 is divided by 32. 30 Calculate the remainder when 708 is divided by 77. 15 What is the remainder when 75 is divided by 33? 9 Calculate the remainder when 72 is divided by 31. 10 What is the remainder when 383 is divided by 35? 33 What is the remainder when 1086 is divided by 185? 161 What is the remainder when 14 is divided by 5? 4 Calculate the remainder when 154 is divided by 37. 6 Calculate the remainder when 280 is divided by 27. 10 What is the remainder when 670 is divided by 223? 1 What is the remainder when 188 is divided by 26? 6 Calculate the remainder when 38 is divided by 13. 12 What is the remainder when 206 is divided by 9? 8 Calculate the remainder when 466 is divided by 3. 1 Calculate the remainder when 1360 is divided by 44. 40 Calculate the remainder when 8340 is divided by 32. 20 Calculate the remainder when 160 is divided by 62. 36 What is the remainder when 129 is divided by 40? 9 Calculate the remainder when 568 is divided by 16. 8 What is the remainder when 3680 is divided by 205? 195 Calculate the remainder when 2698 is divided by 18. 16 What is the remainder when 2272 is divided by 23? 18 Calculate the remainder when 128 is divided by 5. 3 Calculate the remainder when 5848 is divided by 65. 63 What is the remainder when 8213 is divided by 8? 5 Calculate the remainder when 56 is divided by 5. 1 Calculate the remainder when 25 is divided by 23. 2 What is the remainder when 111 is divided by 59? 52 What is the remainder when 1827 is divided by 15? 12 Calculate the remainder when 824 is divided by 207. 203 Calculate the remainder when 2410 is divided by 798. 16 Calculate the remainder when 1047 is divided by 4. 3 What is the remainder when 1344 is divided by 142? 66 What is the remainder when 9530 is divided by 3174? 8 What is
{ "pile_set_name": "DM Mathematics" }
e 12/2*(-5)/((-5280)/(-10736)). -61 What is the value of -6*(-4 + (-98)/(-28))/((-1218)/28)? -2/29 Calculate ((-17958)/(-2091))/(-146)*(3 - 1). -2/17 4/(-3) - (52 + (-6160)/165) -16 What is the value of 24/14664*-12805 - 2/47? -21 What is the value of (-7008)/140 - (-2)/10 - ((-23068)/1022)/(-158)? -50 Evaluate 1444/28 + (-14 - 576/(-168) - (-110)/10). 52 Evaluate -1 - (-34 + 99) - (-44 + -1). -21 Calculate (-331)/(-110) + (-169680)/88880. 11/10 Calculate ((-215)/15)/(490/105 - 5). 43 272/187*(-15587)/(-218) 104 What is the value of -24 - 1545/(-65) - 81*18/(-9360)? -3/40 What is 54 + (-24 + -76 - -83)? 37 What is the value of ((-2530)/(-170) + -15 - (-4)/1190*-2005) + 6? -6/7 Evaluate (9 - 154/17) + 8/68. 1/17 What is (3/13 - (-25344)/(-12480))/(129/(-30) - -4)? 6 What is the value of (16/7)/2 - (9768086/18487)/857? 10/19 Calculate ((-825)/(-1375) + (-187)/17)/((-1)/(-5)). -52 Calculate (510 - -18)/(-22)*6/(-104). 18/13 What is the value of (-19850)/(-17865)*783/(-15)? -58 What is (-220)/165 - ((-215215)/(-129))/(-55)? 29 What is the value of -60*((-390)/(-40) + -10) - (6 - 36)? 45 Calculate (1/(-10) + (-48)/120)/(-45*23/(-6624)). -16/5 ((-2436)/(-14) - 172)*(-108)/(-2) 108 What is 12950/(-200)*(-120)/105? 74 Calculate (-50560)/(-4424)*(-112)/(-20). 64 (-1582)/44 - (26/((-18304)/16864) - -24) -36 Calculate 34/((-3332)/(-42)) + (0 - (-687)/(-1701)). 2/81 Evaluate ((-14)/154*6435/(-52))/(1/(16/3)). 60 (992/(-64) - -22)/((4/(-10))/(1464/305)) -78 12/30 + (-676)/2240 + (-360)/1260 -3/16 (-382)/(-573)*(3 + -3 + -15) -10 (-5)/(-3)*(-73 - -67)/18 -5/9 Calculate ((-19588)/1494)/(6/54). -118 What is the value of (13/(-3))/(1018394/(-108468))? 6/13 ((-2)/14)/(((-112)/1344)/((-4)/(-48)*27)) 27/7 Evaluate (-15)/((-1035)/(-184))*(-8)/48. 4/9 Evaluate 10/8*((-1)/(-990)*-147 - 9/(-54)). 1/44 ((-217)/((-371070)/6390))/((-2)/(-38)) 71 Calculate 320*150/1920 - 34. -9 What is -48 + 307/(24867/13608)? 120 ((-8)/308)/((-1336)/7348) 1/7 What is (9174/(-209) - -14) + (60/(-95))/6? -30 (-228 - -228)*(2/8)/(33/(-12)) + -16 -16 What is the value of -20 + 118 + -32 + -32? 34 Evaluate (6/8)/(252/(-96))*2. -4/7 What is (-602)/(-13545)*9/2? 1/5 What is 2850/160 - 18 - 79016/(-896)? 88 Evaluate (-5)/(-10)*5/(-5)*(225 + 1). -113 What is the value of 6/(-14) - (18570/9904)/(-1 + (-28)/8)? -1/84 What is the value of (196/16 + -14)/(58/87)? -21/8 Evaluate (-2262)/(-58) + 949/(-26). 5/2 What is the value of (18/8)/((-852)/(-3976))*1? 21/2 Evaluate (3032/(-2274))/((-12)/(-513)). -57 (-1 + -1)*(-54 - 15080/(-208)) -37 What is (-161238)/2002 - 2430/(-30)? 6/13 What is 60*165/(-132)*(-11)/(385/(-14))? -30 9/12*-12*16/(-1152)*(69 + -5) 8 Calculate (-14 + -1)*31/2418*52 - 104. -114 Calculate 13 + 209/(-114)*(-6100)/(-825). -5/9 (2/(-4))/((-52556)/(-11262)) -3/28 Evaluate 44240/(-244800) - 4/(-144) - (2 + 0)/10. -6/17 ((-36)/(-90))/((22/(-100))/(213/(-142))) 30/11 (-12)/((-72)/22) - 120/(-900) 19/5 What is (-2394)/(-836) + (27 - (-1062)/(-36))? 4/11 Evaluate -1*(-4314)/618 - (-636 - -643). -2/103 What is the value of (15 - 3) + (1139/201)/(((-20)/(-75))/(-4))? -73 Evaluate -130*(4/4)/((1 + -2)*5). 26 What is the value of 229/(-730) + (-26958)/(-89860)? -1/73 Evaluate (-2)/(-21)*(-19446)/(-14) + 4296/2506. 134 What is the value of ((-7350)/(-13230))/(170/(-12))? -2/51 What is the value of ((-14952)/(-258) - (6 + -3 - 7)) + 108/2322? 62 Evaluate (1 - 1/2)/(3618/936 - 4)*-7. 26 What is the value of -8*17/748 - (23408/(-121))/(-14)? -14 (17 - (4 - 2330/(-180))) + (-330)/(-1836) 4/17 What is (-52)/(-1638)*-9 + 0 + (-12735)/(-105)? 121 Evaluate -76 + 77 - (-12)/91 - 2/(-13). 9/7 Evaluate -31*1 - ((-3284463)/(-1166))/(-91). -1/22 What is the value of (1/18)/(10616/(-71658))? -3/8 What is (-36)/(-126) + (-136)/(-14) - (-59040)/(-5658)? -10/23 Calculate (-1956)/3260*260/8. -39/2 Calculate 76/(-46360)*((-9)/1 - 1). 1/61 7 + (-4680)/126 + 11/77 -30 (0 + 4)*(-58)/348*35/10 -7/3 -74 - (-53 - 13 - -6) -14 (-657)/126*6 - (2/42 + 31/(-93)) -31 Calculate (1295/(-308) - (-365)/803)*28. -105 What is the value of 18/(-138) + 2178/(-6578)? -6/13 What is (-273)/(-1155) - 89/890? 3/22 What is the value of (-74)/3*(8/(-13) + (-24180)/10140)? 74 (((-13)/3)/((-988)/304))/((-4)/150) -50 Evaluate (0 - 5 - (-30438)/6141)/(1 - 2). 1/23 Calculate ((-82)/5)/((-417)/((-225180)/216)). -41 What is the value of ((-833)/(-140) + 0 + -6)*14*-10 - 0? 7 Calculate (-9869)/(-426)*-6 + 106. -33 What is (77/165 - 1)/(-9 - (-1098)/120)? -32/9 What is -2*33/9867*13 + 1606/(-46)? -35 What is (-2)/(-14)*10311/22095? 1/15 What is the value of ((6072/1210)/((364/154)/13))/(6/(-15))? -69 Calculate ((-23)/4)/(61 + 24939/(-408)). 46 322/8*32844/(-172431) -23/3 Calculate (-99 - 11471)/130 - -88. -1 Calculate (-28)/(-98) + (-31)/35. -3/5 Calculate (7*(-265)/371)/(1/(-2) - (-21)/70). 25 (0/3 - (12 - (-660)/(-45)))*(-72)/12 -16 What is the value of (-3 - (-574)/(-2322)*-13) + (-2 - 3016/(-1566))? 6/43 What is the value of 36*(-138)/552 + 16/(-72)*79/(-2)? -2/9 (1 - 1) + ((-648)/(-270))/(-6) - 123/5 -25 Calculate (-182)/(-504) + 56/(-96). -2/9 Calculate (-21)/87*1098/(-7686). 1/29 Evaluate ((-180)/(-245))/((-261)/1218). -24/7 Calculate -5 - (48 + -31) - -57. 35 What is the value of 9837/38255 - ((-3)/10)/(15/(-10))? 2/35 14/(-15)*-15 + 20/225*-145 10/9 What is the value of ((-513)/(-1881)*6/3)/((-104)/(-22))? 3/26 Calculate 4899/(-69) - (-33236)/468. 2/117 Evaluate (-14*(-44)/2002)/(90/234). 4/5 Evaluate (-3*(-368)/(-10948))/((-3)/(-14)). -8/17 Evaluate (-1881)/38*(-660)/(-726). -45 What is the value of ((-27)/(-36))/((8844/(-6688))/67)? -38 What is 3/(29/(58/(-30)) + 12)? -1 Calculate (-6)/68*(19292/159)/91. -2/17 (2/55 + 8172/(-114862))*(-1 - 4) 4/23 Calculate 2397/(-3757) + 4/(-408)*-18. -6/13 Calculate (-13 - -33 - 19)/((-3913)/(-325) + -12). 25 What is the value of 0 - ((-17 + (-62550)/(-3680))*-8 + 0)? -1/46 Calculate (-3022 - -2998) + 278/12. -5/6 What is (-1472933)/(-50666) + 0 + 29/(-1)? 1/14 What is 5/70*(4 + -7) + (-18750)/700? -27 What is 3627813/(-116725) + (-4)/(-50)? -31 What is ((-34)/4 + 10)*-7*(-4)/1680? 1/40 What is (1 - 101) + 57792/1806? -68 What is the value of (1 + (-82)/4)/((-396)/(-3) + -133)? 39/2 What is the value of (-98)/(11858/(-5973)) + -51? -18/11 (76 - 78)/((-33320)/5525 - 1*-6) 65 What is the value of 32336/1880 - (-5)/((-10)/36)? -4/5 Evaluate 2 + (-1787)/(-35) - ((-142240)/4900)/(-508). 53 What is the value of ((-61016)/(-522) - 56/63)/(2 - (-3 + 1))? 29 Evaluate (4/10)/((-324)/(-30) + -12)*201. -67 (-175)/38*2 - ((-90774)/(-246))/(-41) -4/19 What is the value of 79 + -63 - (7 + -9)? 18 What is (-6 - -8)*(((-5439)/(-24))/7 + (-969)/2584)? 64 Calculate ((-12)/39 - 0)/(3300/922350). -86 Evaluate ((-1)/3)/(6/2044) - (-51588)/(-116073). -114 What is 7/(-91)*(936/2028 + (-2879)/13)? 17 Calculate 270/(-81) + (0/(-10) - -7). 11/3 Evaluate -6 + 312/(-76) - 16/(-152). -10 Evaluate 65/70 - (-276)/483. 3/2 (0 + (-1)/((-5)/4))/((-2736)/1080) -6/19 Evaluate (9954/84 + -119)/((-97)/230 - (-4)/10). 23 3300/(-350)*224/(-44) 48 32 - 57 - (35 - (-1770)/(-15)) 58 Calculate 2810/3091 - 2808/88. -31 What is 3161424/(-89628) + 6*(-1)/(-22)? -35 101887643/(-15876630) - 2/180 -45/7 (((-150)/210)/(0 + 2))/(-4 - (-30)/10) 5/14 What is 4/(2157/(-166089) - 5391/(-77))? 2/35 Evaluate 19920/(-400) - (-117)/15. -42 What is (-3)/((152/69)/8) - (-14 + -14 + 17)? 2/19 What is 168*((-59440)/1120 - -53)? -12 What is the value of (23/(-69))/((-17)/(-102)) + -47? -49 What is -21*(-75)/175*12/9? 12 ((-34)/(-1) - (-5005)/(-154))*(-5)/39 -5/26 (-144)/2 - ((-234)/(-15) - (-2244)/5610) -88 What is 164115/382935*(1 + (-12)/14)? 3/49 Calculate (-596)/(-14) + (8928/(-252))/62. 42 10509/(-5580) + 14 + (-5022)/360 -11/6 Calculate 45/40 - (-13135)/(-14200). 1/5 Calculate 13359/(-2745) - (4/(48/(-23)) - 6/(-24)). -16/5 Calculate 46 - -25 - (-12488)/(-176). 1/22 What is the value of ((-104)/10)/(6/(-15)) - (-760)/(11590/(-122))? 18 What is the value of 2665/(-650)*(-7912)/1886? 86/5 147/12 + 30492/1936 28 What is 122/183*(-49 + -23)? -48 What is the value of 4/8*(1759 - 1758)/(2/(-92))? -23 Calculate (-2)/(((-36)/(-15) + -3)*(2 + (-3 - 4))). -2/3 What is the value of (-336)/96*((-18)/(-84))/((525/112)/5)? -4/5 What is the value of 237000/3779360 + (-2
{ "pile_set_name": "DM Mathematics" }
Which is the closest to -1? (a) -0.5 (b) r (c) -4 (d) 3/2 a Suppose -2*g = 4*n - 10, -2*n + 5*g = -5 - 6. Let z = 1276.5 + -1277. Suppose 14 = 4*r + 50. What is the closest to -2/5 in r, z, n? z Let j be (-8 - -8)/((-6 + 5)*(2 + -1)). Which is the closest to 0? (a) -13.2 (b) j (c) -2/5 b Let y = 58/15 - 131/30. Let w = -296/7 + 42. Which is the closest to -9? (a) y (b) -1/6 (c) w a Let u = 0.21 + -0.31. Let m be 374/(-88) - (3 - 7). Which is the nearest to -0.2? (a) u (b) m (c) 1/2 b Let s = 1.6 + -2. Let k = -17141.85 + 17142. Which is the nearest to -1? (a) s (b) 1/5 (c) k a Let p = -8.76 - -9. Let h = -0.03 + 16.73. Let n = h + -17.7. Which is the closest to -2/5? (a) n (b) p (c) -1/7 c Suppose -r - 5*o + 476 = 0, -3*r - o = -1369 - 87. Let i = 484 - r. Which is the nearest to 0.03? (a) i (b) 4 (c) 0 (d) 2/11 c Let n be (2/22)/(((-348)/(-24))/29). What is the nearest to -2 in -2/7, -0.1, n, 5? -2/7 Let z be 11 - 1467/135 - 356/(-30). Let m = -9.88 - -10.28. Which is the nearest to 2/7? (a) 3 (b) m (c) z (d) -0.4 b Suppose 0 = 2*x - 4*b + 26, 2*b + 0*b - 7 = -x. Let m(y) = 2*y**3 + 8*y**2 + 6*y - 1. Let o be m(x). What is the nearest to o in -2, -0.02, 7? -0.02 Let a = 40.69 + -41.09. What is the closest to a in 3/5, -5, -3/5? -3/5 Let g(u) = -3*u + 30. Let w be g(11). Let d = -7 + 6. Which is the nearest to d? (a) w (b) -4/3 (c) -2 b Let v = -13865 - -28469/2. Let h = -369 + v. What is the closest to 0 in h, 2, -0.1? -0.1 Let o = 952 - 964. Let t be (-64)/(-6) - (22 + o). Let v(j) = -2*j**3 - 3*j**2 - j - 1. Let d be v(-2). What is the nearest to -3 in t, -0.4, d? -0.4 Let l = -0.88 - 1.12. Let r = 2887.6 - 2892. What is the closest to 1 in -1/3, r, l? -1/3 Let m be 648/378*(-42)/8. Let y be ((-6)/8)/(9/8). Which is the nearest to -0.2? (a) 4 (b) y (c) m b Let y = 0.1 + -0.6. Let x = 326.4344 + -327. Let d = 0.0344 - x. Which is the closest to -0.1? (a) -4 (b) y (c) d b Let q = -100 + 99.8. Suppose -j = j - 16. Let d be 0 - 2 - (-26)/j. What is the closest to 2/23 in d, q, 3? q Let d = -3.216 - -3.016. Let n be (-9)/(-6) + (-21)/(-6). Suppose -h - n = -6*h. Which is the closest to h? (a) d (b) -4 (c) -3 a Let h = 0.1 - 0.1. Let w = -311 - -313. Suppose -q = 14*g - 9*g + 19, -5*q - 14 = -w*g. Which is the nearest to 2/3? (a) -0.02 (b) g (c) h c Let r = 380726/139 + -2739. Let l = 135549995/1505916687 + 4/292809. Let o = l - r. What is the closest to o in -0.5, -0.1, 3? -0.1 Let o = 2/3 - 1/6. Let z be ((-629)/510)/(-37)*-2*-15. Let s = 3 - 2.6. Which is the nearest to o? (a) s (b) z (c) 5/6 a Suppose m - 4 = -8. Let b = -0.172 - -0.072. What is the closest to 2/7 in -2/5, m, b? b Let u = -1393.5 - -837. Let x = u - -557. What is the closest to 3/134 in 2, x, -0.5? x Let q = -1.45 - -397.45. Let g = -395 + q. Let k be (-2)/(-8) - (-1 + 1). Which is the closest to g? (a) k (b) 2 (c) -2/17 a Let u be (-22)/((-1452)/1034)*(-3 - -2). Which is the nearest to 23? (a) -0.2 (b) u (c) -2 a Let r = 26.5 - 154.5. Let m = r - -116. Which is the closest to -0.3? (a) m (b) -1/4 (c) -5 b Let n = -59 + 63. Let p be n/22 + (-126)/(-33). Suppose 3*y = q + 9, -2*y - 7 = -p*q - q. What is the closest to y in 4/7, 3, -0.5? 3 Let q(s) be the first derivative of -s**3/3 - s**2/2 + 13*s + 1. Let k be ((-2)/7)/(41/574). Let a be q(k). What is the nearest to a in 2/5, 3/4, 5? 3/4 Let k = 9 - 7. Let i(y) = 6 - 16 - 3*y + 2*y + 3*y. Let t be i(4). Which is the nearest to -2/3? (a) -3 (b) t (c) k b Let k = 42.2 + -42.5. Let n = 4.1 + -2.4. Let y(h) = h**3 - 7*h**2 + 9*h - 18. Let r be y(6). Which is the nearest to r? (a) 3/7 (b) n (c) k c Let g = 15.203 - -0.397. Let k = g - 15.5. Which is the closest to k? (a) 6 (b) 6/5 (c) 1/11 c Let u = -24.9 + 21. Let s = 4.3 + u. Let y be (-2)/(2*30) - 4/24. Which is the nearest to 2/7? (a) 4/3 (b) y (c) s c Let z = 84 - 1096/13. Let s = 69/163 + -1361/2445. What is the nearest to 2 in -5, s, z? s Let z(k) = -12*k + 69. Let t be z(6). Let c be t - (-4)/(13 - 1)*7. What is the closest to c in -5, -4/7, -7? -4/7 Let s = 10017 - 10025. Which is the closest to -0.09? (a) 2/11 (b) s (c) -5 a Suppose 0 = -7*q + 2*q - 20. Let l = 203 - 248. Let r be q/10 - 9/l. Which is the closest to -1? (a) r (b) -5 (c) 1/2 a Let s = -57 - -57. Let y be (2/(-10))/((-6)/4). Let i = -0.158 + -0.342. Which is the nearest to -1/2? (a) i (b) y (c) s a Let i be 8 + (-30)/((-1920)/(-352)). Let z = -5 - -5.4. Which is the closest to 1? (a) 3 (b) -2/7 (c) z (d) i c Let c = 266/657 + 26/657. What is the closest to 136/7 in c, 6, 5, -2? 6 Let n = 185.4 - 186.4. Which is the closest to n? (a) 5 (b) -5 (c) 74.9 b Let j(f) = 55*f - 1265. Let h be j(23). What is the closest to h in 0, -2/9, 5/4, 0.2? 0 Suppose -10*j - 2 = -11*j. Suppose 0 = -3*x - j*w - 2, -5*w = 3*x - 7*w - 14. What is the nearest to 0.1 in x, 1/3, -0.4? 1/3 Suppose -4*g + 103 = i - 30, -4*i + 56 = 2*g. Let n be ((-2)/4)/((-85)/g). Which is the closest to 1? (a) -0.4 (b) 4 (c) n c Let p = 3256 - 3255.5. What is the closest to -5 in -5, 2, p, 3? -5 Let u = 46 - 47. Let r(f) = 8*f - 259. Let n be r(33). What is the nearest to u in n, 3, 0.1? 0.1 Let s be 63/(-1575) + (-1098)/50. What is the nearest to -1 in s, 4, 0.4? 0.4 Let t = 219/5 + -43. Let f = -171 - -73. Let k = f - -98.4. Which is the nearest to k? (a) 0.1 (b) t (c) 0.2 c Suppose 2671 - 2496 = -35*o. What is the closest to -3/4 in -1.7, -1, 2/13, o? -1 Let z = 894 - 894.7. What is the nearest to -2/5 in z, 5, 1/3? z Let q = 2.62 - 5.45. Let m = q - -2.43. Which is the nearest to 9? (a) m (b) 0.1 (c) 1 c Let k = 3295/4902 - 9/1634. What is the nearest to k in 0.05, 2/7, -3/10? 2/7 Let n = 95 - 90. Let u be (-2)/5 + 1 - (-1127)/(-1495). Which is the closest to u? (a) n (b) -1/4 (c) 0.5 b Let s = 5818 - 5863. Which is the nearest to -2? (a) 4 (b) s (c) -5 (d) -2/9 d Let f be (-51)/27 + (-17)/153 - 12/(-4). Let p = 67/12 + -19/3. What is the nearest to f in 0, p, -0.1, -4? 0 Let q = -547 + 546.73. Let x = q + 0.77. Which is the nearest to 14? (a) -1 (b) 5/2 (c) 1 (d) x b Let p = -35778 + 35778.5. Which is the closest to 0.4? (a) p (b) 2 (c) 17 a Let h = -5 + -1. Let o = 6.3 + h. Let l be (-2 + 15/9)*(-27 - 1050/(-40)). What is the closest to 0 in l, -2/3, o? l Let s = 641 + -646. Let n(x) = -x**3 + 2*x**2 + 33*x - 6. Let j be n(s). Which is the closest to 1/3? (a) -0.2 (b) 6 (c) -2/3 (d) j a Let q be (((-8)/3)/1)/(-68 - -66). Which is the closest to -0.1? (a) q (b) -1/3 (c) 1 (d) -1/2 b Let g = -16/953 + -1858/2859. Suppose 2*m + 90 + 6 = 0. Let i be -1*6*(-6)/m. Which is the closest to 2? (a) i (b) -0.4 (c) g b Let m = -579/4 - -145. Let p be (-316)/474 + (1 - 8/6). What is the closest to m in -4, -0.6, p? -0.6 Let p be 105/735*63/10. What is the nearest to 0 in -2/9, p, -2/11? -2/11 Let i be (-558)/(-372) - 1/(-2). What is the closest to -1 in -20, -1/6, i, 2/3? -1/6 Let s = -794/2805 + 28/187. What is the closest to 0 in 3, -0.3, 9/5, s? s Let v = -990.2 + 988.2. Which is the closest to -2? (a) v (b) -1/5 (c) -30 (d) 0.2 a Let t = -9.56 - 361.44. Let v = 380 + t. What is the nearest to 1/3 in -2, 10, v, 1? 1 Let o = -34521/276232 + -1/34529. Which is the nearest to -0.06? (a) -0.2 (b) 1/6 (c) o c Let z = -175 + 355. Let f = z + -180.4. What is the nearest to 2 in f, 0.05, -3/4? 0.05 Let z be (-5)/1500*-20 + -2 + 86/60. What is the nearest to -1/4 in -5, -4, z? z Let r = -0.02468 + 0.12468. What is the closest to r in 1.1, -3, 8, 0? 0 Let p be 3 + 4*2/4. Let o = 243959 + -243959.1. Let v = -1.3 + 1. What is the nearest to o in p, -2/3, v? v Let u = -17959 + 17946. Which is the nearest to -1? (a) -0.3 (b) -1/15 (c) u (d) 4 a Suppose -5*g - 4*x - 7 = 0, -5*g - 23 = -4*x - 0*x. Let o = 0 - -0.2. What is the closest to 2/5 in o, g, 2/5? 2/5 Let m = -30299 - -29778. What is the closest to -1 in 0.2, m, 4, 0? 0 Let s = -10555 - -10558. Let a(m) = -m**2 + 5*m + 5. Let j be a(6). What is the nearest to -3 in s, 0.2, j? j Let g(j) = 8*j + 137. Let l = 230 - 247. Let w be g(l). What is the nearest to 0.1 in 0.1, 26/7, w? 0.1 Suppose 0 = 10*o - 218 + 238. Let w = 32/3 + -10. Which is the closest to -2/5? (a) w (b) -16 (c) o
{ "pile_set_name": "DM Mathematics" }
13))**(-1/67) assuming s is positive. s**(-2/871) Simplify (c**(-2/5))**(13/2)/((c**(1/7)*c)/c**5) assuming c is positive. c**(44/35) Simplify (n*n**9*n*n**(-7))**(19/4) assuming n is positive. n**19 Simplify (d**(-2/23)*d*d**2)**(-32) assuming d is positive. d**(-2144/23) Simplify (b*b**(-33))**(-11) assuming b is positive. b**352 Simplify c**(-4)*c/(c**(-3/5)/c)*c**(-2)*c**(-4)/c assuming c is positive. c**(-42/5) Simplify (q**(1/12)*q)/(q*q/(q**13/q)) assuming q is positive. q**(133/12) Simplify (((g**1/g)/g*g)/(g**(-1)/g))/((g*g/((g*(g*g**3/g)/g*g)/g))/g**(1/4)) assuming g is positive. g**(13/4) Simplify c/((((c/(c/c**38*c))/c)/c)/c)*c**24 assuming c is positive. c**(-9) Simplify ((p**(1/2)/p)/p**2)/(p/(p**(-4/7)*p)*p**1) assuming p is positive. p**(-57/14) Simplify (q/q**(-11))**(-2) assuming q is positive. q**(-24) Simplify ((h*h**(2/17)*h)/h)**33 assuming h is positive. h**(627/17) Simplify (u*u*(u/(u*u*u**(-2/7)/u*u*u))/u)**(-1/7) assuming u is positive. u**(5/49) Simplify (j*j**0)**(-44)*(((j/(j*j**(-2/7)/j))/j)/j)**(-8/3) assuming j is positive. j**(-884/21) Simplify (m/(m/((m/((m**5*m)/m*m))/m)))/m**(3/7)*(m*m**(2/13))/m**(-4) assuming m is positive. m**(-116/91) Simplify a**35*a**(-1/4) assuming a is positive. a**(139/4) Simplify (g**(-2))**(-21)*(g/(g/(g/(g**8/g)))*g)/g*g/g**8 assuming g is positive. g**29 Simplify (j**8/(j*j*j**(-9)*j))/(j**(-1/3))**(-16) assuming j is positive. j**(26/3) Simplify (q**(-1/3))**(-7)/(q**(2/3))**(27/5) assuming q is positive. q**(-19/15) Simplify (s**(-1/3))**32/(s*s*s*s**1*s*s)**(-2/39) assuming s is positive. s**(-404/39) Simplify t/t**9*t*t**(-4/3) assuming t is positive. t**(-25/3) Simplify (q**(1/3)/q*q*q)**(9/7)*(q**(-2/5))**(-2/7) assuming q is positive. q**(64/35) Simplify k/(k**(-2/17)*k)*k/k**(-4)*k/k**(-3)*k/(k*(k/k**(-4)*k)/k) assuming k is positive. k**(70/17) Simplify m/(m/(m*(m**3*m*m)/m))*m*m**(1/5)*(m/(m/(m**9*m*m)))/m*m**3 assuming m is positive. m**(96/5) Simplify (z**(-1/2))**34*z**(-4)/z*z/(z**0/z) assuming z is positive. z**(-20) Simplify (y**0*y**(1/9)*y)/(y*y*y**0*y)**(4/3) assuming y is positive. y**(-26/9) Simplify (q**(-5/4)/q**0)/(q**(-7)*q*q**(-9)/q) assuming q is positive. q**(59/4) Simplify i**(-6)*i*i**(-1) assuming i is positive. i**(-6) Simplify ((q/(q/(q*q**(-2))))**(-6/13))**(-2/37) assuming q is positive. q**(-12/481) Simplify ((h**(-2)*h)/h**(2/5))/(h**5*h/h**(1/11)) assuming h is positive. h**(-402/55) Simplify a**9/(a**(-2/59)/a) assuming a is positive. a**(592/59) Simplify (v**(2/17)/v)/v**1*v**(-1)/(v**(2/5)*v) assuming v is positive. v**(-364/85) Simplify x**(-5/8)/((x**(1/50)/x)/x) assuming x is positive. x**(271/200) Simplify u**16*u*u*u**(-2/47)*u assuming u is positive. u**(891/47) Simplify i**(-2/15)/(i**(-4/7)/i)*(i**(1/3)*i*i)**(-29) assuming i is positive. i**(-2318/35) Simplify x*x**(-4)/x*x*x**(3/8)*((x*x/x**1*x*x)/x)**18 assuming x is positive. x**(267/8) Simplify (c**(2/21)*c*c**(-2/23))/(c**1)**(-2/85) assuming c is positive. c**(42361/41055) Simplify (j**(2/3))**5*j**4*j**(3/2) assuming j is positive. j**(53/6) Simplify (m**(-1/2))**(-38) assuming m is positive. m**19 Simplify (n**(-7)*n)**25 assuming n is positive. n**(-150) Simplify ((g**(-36)*g)/g)/(g*g**(-16)) assuming g is positive. g**(-21) Simplify (l**35/l)**(-2/67) assuming l is positive. l**(-68/67) Simplify p*p/p**(3/2)*p*p**3*(p*p*p/(p**(-1/3)*p*p*p))/p**(-7) assuming p is positive. p**(71/6) Simplify (y**(2/3))**(-11) assuming y is positive. y**(-22/3) Simplify (w*(w*w**10)/w)**2 assuming w is positive. w**22 Simplify (f**(-3/7)*(f*f*(f*f**9)/f*f)/f)/(f/(f*f*f**(2/9)))**(-36) assuming f is positive. f**(-234/7) Simplify (z**(-1/3)/z*z**(-3/4)*z)/(z**(2/7)*z)**(-42) assuming z is positive. z**(635/12) Simplify (y**(1/2)/y*y*y)**(1/5)/((y/y**(-1/3))/y*(y*y/y**2)/y) assuming y is positive. y**(29/30) Simplify (t*t**(-22/5))/t**(-37) assuming t is positive. t**(168/5) Simplify ((n/(n*n**2))/n*n**1*n)/((n**0/n*n)/n*n*n**(-2)/n) assuming n is positive. n**2 Simplify ((v**(-1/2)/v)**(-23))**(3/5) assuming v is positive. v**(207/10) Simplify (l*l*l*l**(-2/3)/l*l)**(-49)/(((l**(-4)/l)/l*l)/(l**(-1/10)*l)) assuming l is positive. l**(-3253/30) Simplify ((i/(i/(i/((i**(-1/2)/i)/i*i))))/i**(-4/3))**(-45) assuming i is positive. i**(-345/2) Simplify u*(u*u*u**(1/11))/u*u*u/(u/u**(-11)) assuming u is positive. u**(-87/11) Simplify ((i/i**(1/17))/i*i**9)/(i**(-3/2)/i*i*((i*i/i**(-1/6))/i)/i) assuming i is positive. i**(524/51) Simplify (l**(2/3))**(2/167)*l**(1/2)*l/l**(1/5) assuming l is positive. l**(6553/5010) Simplify o**(2/15)*((o**(2/3)/o)/o)/o*o**(2/23)/(o*o**(-2)) assuming o is positive. o**(-128/115) Simplify (p**(-2)/(p/(p*p**(2/19))))/(p/p**(2/7))**(5/8) assuming p is positive. p**(-2491/1064) Simplify p**6/(p*p**(-8))*((p/(((p*p/(p*(p/p**(-2/9))/p*p))/p)/p*p)*p)/p*p)**(7/6) assuming p is positive. p**(905/54) Simplify ((x**(2/7))**(-12))**(-7/12) assuming x is positive. x**2 Simplify (c**(1/6)/(c*c**(1/8)*c))**(-2/81) assuming c is positive. c**(47/972) Simplify g**(-20)/(g/g**1) assuming g is positive. g**(-20) Simplify (y**(-1)*y/((((y**(1/3)/y)/y)/y)/y))**(-2/17) assuming y is positive. y**(-22/51) Simplify (k**(-17))**(17/3) assuming k is positive. k**(-289/3) Simplify i*i/((i*i**(-3))/i)*i*i*i/i**3*i assuming i is positive. i**6 Simplify (a**(-6/7)/(a/a**(3/2)))**(-20) assuming a is positive. a**(50/7) Simplify y**(-4)*y**(-1) assuming y is positive. y**(-5) Simplify ((a/(a/(a/a**(1/5))*a)*a)**(3/7))**29 assuming a is positive. a**(348/35) Simplify r**7*r*r**15 assuming r is positive. r**23 Simplify (u/u**2)/u*u**(-2)/u*((u*u**(1/4)*u)/u)**(-41) assuming u is positive. u**(-225/4) Simplify (d/(d*d**39/d))/(d*d**(-26)) assuming d is positive. d**(-13) Simplify (z*z**(-5))/(z/((z*z/(z*z**0)*z*z)/z*z))*(z**6*z)/(z/(z**(1/5)/z)*z) assuming z is positive. z**(11/5) Simplify (d/(d*d/(d*d**19)))/d**(23/3) assuming d is positive. d**(34/3) Simplify (f**0*f*f*f**(-1)/f)/(f**1)**(-1/28) assuming f is positive. f**(1/28) Simplify ((q/q**(2/7))/((q/(q/(q*q**7*q*q)))/q*q))/(q*q/q**(-7)*q**(-2)) assuming q is positive. q**(-114/7) Simplify (c/(c**(-4/3)/c))**(-17) assuming c is positive. c**(-170/3) Simplify (s**(1/25))**24 assuming s is positive. s**(24/25) Simplify ((c*c/c**4)/(c/c**(3/7)))/(c/c**(-6)*c*c/c**(1/4)) assuming c is positive. c**(-317/28) Simplify p**(-13/8)/p**(-19) assuming p is positive. p**(139/8) Simplify (o/((o**(2/5)/o)/o))**(6/31)*(o*o/((o**(2/17)/o*o)/o)*o)/(o**(1/6)*o) assuming o is positive. o**(50891/15810) Simplify l**(-7/4)/l**(-20) assuming l is positive. l**(73/4) Simplify z**7*z*z*z*z**(-25) assuming z is positive. z**(-15) Simplify (l/l**0)**(4/3)*(l**(-1/4)*l)/(l/l**5) assuming l is positive. l**(73/12) Simplify d/d**(-5)*d/d**1*(d*d*((d/(d*d/(d*d**(-1/4))))/d)/d)**43 assuming d is positive. d**(-19/4) Simplify ((a**(-2))**5)**(-38) assuming a is positive. a**380 Simplify (k*k**(-2))/k*k**(1/5)*(((k*k**(2/3))/k)/k)/k*k*k*k*k/(k/(k/(k/k**(-3/2))))*k assuming k is positive. k**(-19/30) Simplify q**(-11)*q*(q*(q*q**16*q)/q)/q assuming q is positive. q**7 Simplify (((y/(y/(y*y/((y*y/(y*y*y**(1/3))*y)/y)*y)))/y)/y)**(3/2)/(y*y*y/((y**(1/3)*y)/y*y)*y*y)**34 assuming y is positive. y**(-368/3) Simplify (l**(2/5))**(-2/53)*l**(-2/9)*l/l**(-3/8) assuming l is positive. l**(21707/19080) Simplify (j*j**9)**23 assuming j is positive. j**230 Simplify (((((o/(o/((o**(-3/7)*o)/o)))/o)/o*o)/o)**27)**36 assuming o is positive. o**(-16524/7) Simplify (i/i**(-2))**(-1/9) assuming i is positive. i**(-1/3) Simplify s*s**(-18)*s/s**(-3/13)*s assuming s is positive. s**(-192/13) Simplify p*p**(-1/2)*p**(-2/15)*(p*p*(((p*p*p**(2/5))/p)/p)/p*p)**(-38) assuming p is positive. p**(-545/6) Simplify (s**(2/9)/s**7)/((s*s**7)/s*s*s**(-5)*s) assuming s is positive. s**(-97/9) Simplify (h/(h*h**(2/13))*h*h**1)/(h**(-1))**39 assuming h is positive. h**(531/13) Simplify ((l**3*l)/l**8)/((l**(6/5)/l)/l**(2/7)) assuming l is positive. l**(-137/35) Simplify (r**(-7/3)*r*r*((r/(r/(r*r**(3/2))))/r)/r*r)**22 assuming r is positive. r**(77/3) Simplify (w/(w/w**(-3/7))*w**(-2/23))/(((w/((w/w**(1/10))/w))/w)/w*w/(w**(-2/11)*w)) assuming w is positive. w**(3589/17710) Simplify (m/m**(-1/20)*(m/((
{ "pile_set_name": "DM Mathematics" }
*2/4. Which is the biggest value? (a) w (b) t (c) h c Let i be (-8)/(8/(-2)) + -131. Let r = i + 1159/9. Which is the third smallest value? (a) -1/5 (b) r (c) 0 c Suppose -3 = -4*h + 5*d, -2*h - 4*d + 12 = 2*h. Let n be ((-2)/32)/((-1)/h). Let u = -0.6 - 4.4. Which is the smallest value? (a) 0.2 (b) n (c) u c Let p = 5 - 6.6. Let f = p - -0.6. What is the third smallest value in 0.2, -0.2, f? 0.2 Let v = 134 + -2012/15. Let h = 18 + -11. Let p = h + -7.3. Which is the second smallest value? (a) v (b) p (c) -3 b Let m = -1.1 + 0.1. Let a = 3.6 + -3.8. What is the second biggest value in m, -1/2, a? -1/2 Suppose 0*n + 28 = -14*n. What is the smallest value in -0.1, n, 0.08? n Let r(x) = -x**2 - 9*x - 21. Let s be r(-8). Which is the second biggest value? (a) -2 (b) s (c) 1/3 (d) -5 a Let j = -4 + 2. Let z be (2 - j/(-4)) + -1. Which is the second biggest value? (a) -1 (b) z (c) -0.2 c Suppose 5*d = -29 + 9. Let x be (d/(-6))/(-7 - -13). What is the smallest value in -1, 5, x? -1 Let u = -605/9 - -67. What is the biggest value in 0.2, u, 5? 5 Let h = -6/25 + 29/225. Let t = -4.7 + 5. What is the third biggest value in t, -0.4, h? -0.4 Let w = 7 + -5. Which is the third smallest value? (a) 0.4 (b) -4 (c) w c Let r = 193/4 - 48. Which is the fourth smallest value? (a) 1/7 (b) 2/5 (c) -3 (d) r b Let s = 31.5 + -31. What is the fourth biggest value in s, 9, -0.1, -1/2? -1/2 Let c = 0.3 + -0.1. Let h(p) = -p**3 + 3*p**2 - 1. Let b be h(1). What is the second smallest value in c, -1/7, b? c Let h be -2 - 0 - -1*5. Let w = -37 + 42. Which is the third biggest value? (a) h (b) -4 (c) w b Let l be (-1)/2*11/(-22). Let o = -6 + 7. Which is the biggest value? (a) o (b) l (c) 0.5 a Let t = 14.2 - -4.8. Let k = -15 + t. Which is the third smallest value? (a) -0.4 (b) 5 (c) k b Let f = -80 + 69.2. Let a = f + 10. Let d = a - -5.8. What is the smallest value in -0.5, 2/9, d? -0.5 Let i = -0.8 + 0.5. Let r = 3 + -3. Let k be r/((-1)/(-1) - -1). What is the third biggest value in -3, i, k? -3 Let i = 895/4 - 226. Let u = 1 + i. Let d = -0.44 - -0.04. Which is the biggest value? (a) u (b) d (c) -1 b Suppose -m = 4*d + m - 12, 2*d - 6 = -2*m. Let a = 39 + -28. Let z be a/12 + (-2)/d. What is the second biggest value in 1, 0.1, z? z Let f = 1/1815 - -49367/1815. Let v = f - 28. What is the second biggest value in v, 1/3, 6/11? 1/3 Let h be (-39)/(-18) - 8/4. Suppose 0*u = -5*u. Which is the third biggest value? (a) h (b) u (c) -1/2 c Let v = 18 - 376/21. Let l = -0.08 - -5.48. Let t = -5 + l. Which is the third smallest value? (a) t (b) -1/4 (c) v a Suppose 0 = -5*m - 10 + 15. Which is the smallest value? (a) -0.3 (b) m (c) 0.4 a Let f = 0.3 + -0.4. Let q = 8.2 - 0.2. Let s = 5 - q. What is the second biggest value in s, f, -0.06? f Let t = 7/2 + -4. Which is the second smallest value? (a) -0.1 (b) t (c) 5 a Let v be (1/3)/((-2)/3). Let o = -53 - -263/5. What is the biggest value in v, o, 2/11? 2/11 Let q = -1.53 + 0.23. Let i = q + -3. Let n = i - -4. Which is the second smallest value? (a) 0 (b) n (c) 0.3 a Suppose 2*s - 2*m + 4 + 2 = 0, -m + 11 = -5*s. Let y = -14 + 17. What is the third smallest value in y, s, -3? y Let p = -26 + 21. Which is the second smallest value? (a) -4 (b) 0.2 (c) 0.06 (d) p a Let w = 1.3 + -0.3. Let f = -23 + 13. Let i = f + 15. Which is the second biggest value? (a) 2/11 (b) i (c) w c Let i = 6 - 5.7. Let y = -13 - -9. Let z = y + 3.7. Which is the third smallest value? (a) z (b) i (c) 0.2 b Let u = 1.09 - 1. Let w = u - -2.91. What is the biggest value in -4, w, 0.1? w Suppose -p - 4*p - 9 = g, p + 27 = -3*g. Let o = g + 10. Let v = o + -2. Which is the biggest value? (a) 0 (b) 1/2 (c) v b Let s = 0.02 + 0.28. Let j = -10.11 - -0.11. Let t = j + 9.9. What is the third smallest value in t, s, 4? 4 Let x = -0.41 - 2.59. Let k = -1 + 0.9. What is the third biggest value in 2, x, k? x Suppose 0 = 3*r + 5*x - 188, -4*x = -7*r + 2*r + 338. Let m = r - 112. Let d = m - -95/2. What is the second smallest value in -3, 5, d? d Let l = -0.08 + -8.92. What is the smallest value in l, 0, 3? l Let h(m) = 6*m**2 - m**3 + 7 + 4*m**2 + 2*m + 9*m - 4. Let o be h(11). Let u = o - 8. Which is the third biggest value? (a) u (b) -1/2 (c) -4 a Let v = 24 + -23.5. Which is the second biggest value? (a) v (b) -3 (c) -0.2 c Let w = -2.6 - -0.6. Let o = w - 11. Let s = 8 + o. What is the third smallest value in s, 0.2, -1? 0.2 Let o = -2/391 - -804/4301. Which is the third biggest value? (a) o (b) -2/21 (c) 1 (d) 3/5 a Let d be (-6)/33 - (-4680)/25014. Let y = d - 768/1895. Which is the second biggest value? (a) -0.5 (b) y (c) -2/7 b Let y be -3*(-2)/((-4)/2). What is the third smallest value in y, -5, -4? y Let a be (-3 + (-36)/(-8))*-2. What is the biggest value in -1, a, 1? 1 Let p = -52 - -79. Let m be 561/27 - (-6)/p. Let w be (m/49)/(3/(-2)). Which is the smallest value? (a) w (b) 0.1 (c) -2/13 a Let i = 0.047 - 2.047. Which is the biggest value? (a) i (b) -3 (c) 0.3 (d) 0.13 c Let l = -14 - 11. Let m = -37 - l. Let w = m - -8. What is the second smallest value in 0.5, 0.1, w? 0.1 Let q = 0.37 - -0.03. Which is the biggest value? (a) 2/9 (b) -3 (c) -0.3 (d) q d Suppose 4*s + 16 + 12 = 0. What is the third smallest value in s, -4, 2/7? 2/7 Let j = -4 + 2.9. Let a = 0.1 + j. What is the third biggest value in -2/9, -1/3, a? a Suppose 16 = -6*l + 2*l. Let u = l + 3. Which is the third biggest value? (a) 1 (b) 3 (c) u c Let y = 0.486 + 0.014. Which is the second smallest value? (a) 2 (b) -4 (c) y (d) 1/9 d Suppose g + 3*n = 9 - 2, n = g - 3. Let w be g/(-14) - 15/(-28). Let r = -1053/2 - -526. Which is the second biggest value? (a) r (b) w (c) -4 a Let x = 1 - 1. Let k = 4.2 + -4.4. Which is the second biggest value? (a) 3/5 (b) x (c) k b Let d be 10/(-40)*24/10. Which is the third biggest value? (a) d (b) 4/7 (c) -3 c Suppose 4*c + 4*c = 0. What is the second smallest value in 2/5, 0.1, c? 0.1 Let k = -0.1 + 2.1. What is the biggest value in -0.11, 3, k? 3 Let s = -7.012 - 0.088. Let o = s - -7. What is the third smallest value in o, -1/8, 2/5? 2/5 Let j = 17.89 + 0.11. Let g = j - 26. What is the smallest value in -4, g, 0.4? g Let z = 0.2 + 0.1. Let x = -1.5 - -3. Let u = 2 - x. Which is the third biggest value? (a) u (b) z (c) -2 c Let o be (54/48)/((-6)/8). Which is the third biggest value? (a) 0.1 (b) o (c) 2/5 b Let g = 60 + -65. What is the biggest value in g, -1/3, 4, 1/4? 4 Let b = -3 + 2.98. Let h = -5.02 - b. Let l = h - -2. What is the third smallest value in -0.4, 0.3, l? 0.3 Suppose -7 = -3*n + 5. Suppose -n*i - 5*l = -10, -i + l - 8 = -3*i. Let u = 8 - i. Which is the second smallest value? (a) 0.4 (b) u (c) -0.2 a Let j = -1 + 6. Let d = -239 - -3105/13. Which is the third smallest value? (a) j (b) d (c) 0.2 a Let g be 8/(-6) + 1 + 1. Let z = 20 - 20.4. What is the second smallest value in 2/15, z, g? 2/15 Let k(p) = -p**3 + p**2 + 2*p - 2. Let m be k(2). Let o be 3/m - (-25)/20. Which is the second smallest value? (a) o (b) 2/7 (c) 0.4 b Let a = -0.03 - -0.33. Let t = -0.4 + 0.6. Let b = t + 4.8. What is the second biggest value in b, -2/7, a? a Let n = 65 + -65.1. Which is the third biggest value? (a) 2 (b) -5 (c) -9 (d) n b Let m = 8 + -8.8. Let x = m + -0.2. What is the third smallest value in x, 0.1, 2? 2 Let f = 2 - -2. Let l = -441.91 + 442. Which is the second smallest value? (a) -1/7 (b) l (c) f b Let v = -8.7 + 11.02. Let x = -0.7 - v. Let t = x - -0.02. Which is the second biggest value? (a) t (b) 5/2 (c) 0 c Suppose n + 2 = -n. Let d(s) = -s. Let i be d(n). Let w = 27 + -23. Which is the second smallest value? (a) w (b) i (c) -5 b Let c = 1.5 - 2. What is the second biggest value in -0.2, 1, c? -0.2 Let l = -48 + 52. Let d = 1 + -1.1. Let k = d + 0.3. Which is the biggest value? (a) k (b) 3/2 (c) l c Let t = 60/7 - 233/28. Which is the biggest value? (a) -4/7 (b) -2 (c) t c Let t = 0.23 + -10.83. Let p = -13 - t. Let m = 2 + p. What is the second biggest value in 0.5, m, 4? 0.5 Let u be 7/(-15) - 2/(-6). What is the second biggest value in 0, 3, u? 0 Let z be 4 - (143/(-33))/((-8)/6). Whic
{ "pile_set_name": "DM Mathematics" }
0.21221 - 0.15221. Let t = 12 - 8. Sort w, t, 2/9, 2. w, 2/9, 2, t Let r be (-143)/13*(-6)/33. Put r, 4, -16 in ascending order. -16, r, 4 Let w = -87 + 7. Put -4, -2, w, 4 in decreasing order. 4, -2, -4, w Let c = -1159 + 1159.1. Put 2/13, c, 0.2, -0.1 in increasing order. -0.1, c, 2/13, 0.2 Let j(m) = -6*m - 17. Let t be j(-9). Let c = 32 - t. Let g(z) = -z**3 + 3*z**2 - z - 2. Let b be g(2). Sort 2, b, c in decreasing order. 2, b, c Let j be (30/(-5))/(-1 + (-20)/(-8)). Sort -19, 3, j in decreasing order. 3, j, -19 Let k(g) be the third derivative of g**4/8 + 5*g**3/3 - 10*g**2. Let j be k(-5). Sort 3, 0, j, -4 in ascending order. j, -4, 0, 3 Let m = 2.9317 + 0.0683. Sort 2/153, m, -4 in descending order. m, 2/153, -4 Let f = 217 + -380. Let o = 162.94 + f. Sort o, 1/4, -1. -1, o, 1/4 Let w be -12*((-11)/(-3) + -4). Let a = -42 - -10. Let j = 32.5 + a. Sort j, w, 0 in increasing order. 0, j, w Let l = -74 - -91. Suppose -3*p = 3*i - 5*p - l, -5*i + 23 = -2*p. Sort -7, 5, -3, i in increasing order. -7, -3, i, 5 Let y = -1325 + 1310. Sort -5, y, 0, -4. y, -5, -4, 0 Let l = 39 - 39.3. Let m be ((-1)/(-2))/(6 - (-15)/(-3)). Sort m, l, -4 in decreasing order. m, l, -4 Let u = -1036 - -1038. Sort 3/8, u, -0.74. -0.74, 3/8, u Let n be (-12 + 370/30)/((-1)/(-9)). Put -4, n, -2, 5 in decreasing order. 5, n, -2, -4 Let u(w) = 8*w - 12. Let s be u(1). Sort s, -85, 5 in decreasing order. 5, s, -85 Let c = -3369/8 - -421. Put c, -1/6, 1/4, 0 in descending order. 1/4, 0, c, -1/6 Let j = 1076 - 34429/32. Sort j, 2/9, -4, -1/3 in decreasing order. 2/9, j, -1/3, -4 Suppose 2*g + 0*g + 4 = 4*j, -3*g = -4*j. Sort g, -28, -3 in descending order. g, -3, -28 Let b = -21 + 103/5. Put -4, 0.3, b, 0.01 in descending order. 0.3, 0.01, b, -4 Let y = -19 + 23. Let g be (-4)/3*(1 - y). Suppose -4*u + 0*u = -4. Put u, 2, g in increasing order. u, 2, g Let v be (-1)/((-7)/(-84)) - 6. Put -2, v, 3, -3 in decreasing order. 3, -2, -3, v Suppose 2*r + 9 + 1 = 0. Suppose 0 = 3*y + y - 8. Put y, r, 0.1 in increasing order. r, 0.1, y Suppose 5*b = -5*u + 25, 4 + 7 = b - 5*u. Suppose 0 = -4*r + 2*s - 4, 3*s = r + 3*r + b. Let w = -26 - -23. Put w, r, 2 in descending order. 2, r, w Let b = 59 + -58.9. Let v(t) = -1 + t + 2 + 1 - 2*t. Let q be v(0). Put q, 0.06, b in increasing order. 0.06, b, q Let a be 3/1*(-13 + 14). Suppose -4*q + 4*f = -32, 2*q - 7*f = -a*f + 16. Suppose l - 3*s + 19 = s, s - 9 = -4*l. Sort l, -1, q in decreasing order. q, l, -1 Suppose 6*d + 84 = 27*d. Sort d, -4, 21 in descending order. 21, d, -4 Let a = 18 - 53/3. Put 0.3, a, 6 in increasing order. 0.3, a, 6 Let o = -3916 + 11471/3. Let a = 827/9 + o. Sort a, -6, 5 in decreasing order. 5, a, -6 Let c(h) = 2*h + 53. Let y be c(-17). Sort 5, y, 10 in increasing order. 5, 10, y Let b(n) be the first derivative of -n**4/4 - n**3 + n**2/2 - n - 14. Let d be b(0). Put -4, d, 0.5, -3/5 in ascending order. -4, d, -3/5, 0.5 Let h = 283.3 + -285. Sort 1, -2, h, 2/5 in descending order. 1, 2/5, h, -2 Let n be 4/6 + 16/(-30). Let x = 8.05 + -8.25. Put n, -1/7, x in increasing order. x, -1/7, n Let z = 122 + -124. Sort 0.2, 3/17, z in decreasing order. 0.2, 3/17, z Let k = -3.16 - -2.19. Let u = k - 4.03. Put 4/9, -0.4, u in decreasing order. 4/9, -0.4, u Suppose 0 = 5*q + 3*u + 15, -5*q + 2*u + 6 = -4. Sort 4, -4, 6, q in decreasing order. 6, 4, q, -4 Suppose 9*b + 11*b + 0*b = -2*b. Suppose -2*s - 2*s + 6 = -2*f, 5*f = -s + 18. Put b, 5, -5, f in decreasing order. 5, f, b, -5 Let d = -2407.9 + 2408. Put -1, d, 4, 5 in decreasing order. 5, 4, d, -1 Let a(v) = 3*v - 9 - 17*v + 3*v + 10*v. Let d be a(-7). Let b = -3 - 1. Sort b, 5, d. b, d, 5 Let b = 0.09 + -3.09. Sort b, 10, 0. b, 0, 10 Let v be 2/3 + (-96)/36. Let w(q) = -q**2 - 8*q - 6. Let y be w(-7). Sort v, 3, y, -3 in descending order. 3, y, v, -3 Let i be (12/2)/(108/72). Suppose 0 = 4*k - 5*k - 1. Sort -2, i, 1, k in increasing order. -2, k, 1, i Suppose j - 15 = -2*j. Suppose 12 = -w + j*w. Let l be (-9 - (18 - 39)) + (-7 - 0). Put w, l, -5 in increasing order. -5, w, l Let r be (-31)/93 + (-22)/6. Sort -5, r, -2, -3 in decreasing order. -2, -3, r, -5 Let o = -184 + 185. Sort o, -1, 5. -1, o, 5 Let w(p) = -9*p - 31. Let g be w(-4). Put -2, -4, g in decreasing order. g, -2, -4 Let p(k) = 10*k**3 + k + 2. Let z be p(-1). Let w be 11/z + 2 + 14/63. Sort 8, w, 2 in decreasing order. 8, 2, w Suppose 2*w + 19 - 23 = 0. Suppose 0*f = -5*f + 2*h - 9, f = -2*h + 3. Let r be (0 + 1 + f)/1. Put w, r, 1 in decreasing order. w, 1, r Suppose -6*w + 19 + 41 = 0. Let k be 40/(-100) - 36/w. Let s = 5 - 10. Put k, s, 2 in ascending order. s, k, 2 Let t = -55 + 54.86. Let o = t - -0.1. Sort o, 0.2, -5 in decreasing order. 0.2, o, -5 Let h = -201 + 202. Let m(n) = -2*n - 9. Let p be m(-6). Suppose 0 = 2*w - h - p. Sort 4, 3, w. w, 3, 4 Suppose -2*y = m - 5 - 2, 0 = 2*y + 3*m - 1. Let o(l) = 2*l**2. Let d be o(2). Let s = 4 - d. Sort -0.4, y, s in increasing order. s, -0.4, y Suppose 40 = 674*a - 666*a. Put a, 4, -127 in descending order. a, 4, -127 Let o = 14.5 + 2.5. Let i = o - 19. Let a be (-36)/(-42)*(-7)/(-4). Put a, 4/7, i in descending order. a, 4/7, i Suppose 4*j = 12, 3*j = -o + 4 - 0. Put o, 1, 2 in increasing order. o, 1, 2 Let i = -58 - -58.2. Sort -4, 31, i in increasing order. -4, i, 31 Let m(p) = p**2 + 70*p + 645. Let f be m(-59). Sort -3, 3, f in decreasing order. 3, -3, f Let q = -160 + 159. Put q, 1, 40 in decreasing order. 40, 1, q Let a(z) = 8*z - 18. Let y be a(7). Suppose -18 = -19*s + 20. Sort y, s, -2 in ascending order. -2, s, y Let o = -0.04 - 1.96. Let j be 21/(-35)*(-132)/(-9). Let p = -122/15 - j. Sort p, o, 5 in increasing order. o, p, 5 Let m = -8.37 - -6.17. Put 3, m, 0.4, -4 in decreasing order. 3, 0.4, m, -4 Let v = -23/4 - -123/20. Suppose 3*l + 3*q + 3 = 6*q, -4*l - 3*q - 39 = 0. Let p be (-8)/l*(-9)/(-66). Put -0.2, p, v in increasing order. -0.2, p, v Let o = 0.2421 - -0.1579. Sort o, -6, 0, -5 in increasing order. -6, -5, 0, o Let v = 4 - 5. Let h = 268.5 + -273.5. Put h, v, 2, 2/3 in decreasing order. 2, 2/3, v, h Let a = -366 + 3296/9. Put -1/4, a, 1/2, 2/7 in increasing order. -1/4, a, 2/7, 1/2 Let h = 32/47 + -3715/141. Let u = h - -25. Sort u, 0.1, -4. -4, u, 0.1 Let x(f) = f**3 - 7*f**2 + 10*f - 5. Suppose -3*n + l = -n - 9, 3*n - 2*l = 11. Let d be x(n). Let b be 13/d + (-1)/5. Sort -3/5, -0.2, b in increasing order. -3/5, -0.2, b Suppose 5*p - 5*k = 46 - 21, 5*k - 5 = -p. Suppose -x = x. Put x, p, -2 in increasing order. -2, x, p Let t = 14/89 - 248/445. Sort -3, t, -12. -12, -3, t Let n = -34 - -59. Let y = n + -24.7. Put y, -2/13, -2 in descending order. y, -2/13, -2 Let q = -0.1 + 0.2. Let g = -298.6 + 299. Sort q, 1/6, g in descending order. g, 1/6, q Let x = -0.151 + -0.079. Let d = 5 + -5.17. Let s = x + d. Sort s, -2, 2 in descending order. 2, s, -2 Let x(t) = t**3 + 24*t**2 + 24*t + 28. Let w be x(-23). Suppose 5*c + 10 + 5 = 0. Let u be -2*3/(-6)*c. Sort 4, u, w. u, 4, w Let v be 5/7 + (-6)/(-21). Let m be ((-46)/(-92))/(2/(-4)). Sort -6, 4, v, m. -6, m, v, 4 Suppose -2*q + 8 = -t, 5*q + 4*t - 6 - 1 = 0. Suppose 4*h - 12 = -4*y, -12 = -3*y - 8*h + 4*h. Sort q, 8, y. y, q, 8 Let i = 4 + 10. Let f be (-7)/(i/(-10)) - 1. Sort -9, f, -4, -2. -9, -4, -2, f Let a = -41 + 35.2. Let d = -5.4 - a. Put d, -6, -0.4 in decreasing order. d, -0.4, -6 Suppose -5*u = -3*n + 10, -8 = 4*u + n + n. Let f = -14.7 - 0.3. Let i = 11 + f. Put u, -2/3, i in decreasing order. -2/3, u, i Let a = -2.2 - 0.8. Let f = a - 1. Let x = 4 + -4.2. Put 4/3, f, x in ascending order. f, x, 4/3 Suppose 4*c = 4*z, -7*c + 8 = -4*c - z. Sort c, 501, -4 in decreasing order. 501, c, -4 Let h(s) = 3*s + 41. Let y be h(-13). Let w be 2*-1*-6*(-10)/60. Put -4, y, 11, w in ascending order. -4, w, y, 11 Let b = 2890 - 2889.6. Let p = -8 + 7.87. Sort 1/8, b, 2/3, p. p, 1/8, b, 2/3 Let b = 779 - 787. Let f be -6*(-3)/((-9)/2). Put 3, f, b, -5 in decreasing order. 3, f, -5, b Let f be 12/(-9) + (-16)/24. Let a = -1 - -4. Sort f, a, 5 in increasing order. f, a, 5 Suppose -5*m - 17*l = -15*l + 10, -2*m + 4*l = 4. Sort -4, -17, m, 0 in decreasing order. 0, m, -4, -17 Let q(i) = i**2 + 14*i + 12. Suppose 9*r + 29 = -88. Let a be q(r). Sort 5, -2, a, -12 in ascending order.
{ "pile_set_name": "DM Mathematics" }
1, -2/7, -3, u Let r(g) = -g**2 + 5*g - 1. Let d be r(4). Suppose -5*p - d*k + k = -10, -2*p - 4*k = 12. Let o = -13 + 9. Sort o, p, -3. o, -3, p Let y = 451 + -454. Sort 11/16, 2, y in increasing order. y, 11/16, 2 Let h(l) = -l**3 - 11*l**2 - 12*l + 3. Let y be h(-10). Suppose 0 = -3*b - 59 + y. Put -1, 1, b in increasing order. b, -1, 1 Let w = -33 + 48. Let h = w + -20. Let v = h - -2. Sort -4, v, -0.3 in ascending order. -4, v, -0.3 Let y(l) be the third derivative of -l**5/60 - 7*l**4/24 + l**3 - 5*l**2. Let b be y(-8). Suppose x = 4*x - 6. Sort x, 0, b in descending order. x, 0, b Let i = -345 - -345.3. Put 11, i, -2 in decreasing order. 11, i, -2 Let k = -6 - -30. Suppose 4*j - p - 20 = 0, 2*j - 2*p - k = -2*j. Sort -1/8, j, 2, -0.1 in descending order. j, 2, -0.1, -1/8 Let g(c) = 3*c - 1. Let d be g(-1). Put 0, d, -11 in decreasing order. 0, d, -11 Let w = 103 + -98. Sort -3, -4, w, 4 in descending order. w, 4, -3, -4 Let t = 134520 - 76407305/568. Let o = 2/71 + t. Sort o, 0.1, -0.1 in ascending order. -0.1, 0.1, o Let j(k) = k**3 + 10*k**2 + 4*k + 40. Let b be j(-10). Suppose -5 + 6 = -m. Sort 10, b, m. m, b, 10 Let d = 3 + -10. Let f = 20 + d. Let c = f - 16. Sort -0.1, c, -4. -4, c, -0.1 Let s be (-8)/(-12)*(-159)/2. Sort s, 0.4, -5. s, -5, 0.4 Suppose 0 = -0*b - b. Let a(x) = -x**3 + 3*x**2 + 5*x + 2. Let k be a(4). Suppose -25 = -k*h + 11*h. Sort b, h, 1 in descending order. 1, b, h Let q(s) = 5*s**2 + 128*s - 48. Let k be q(-26). Sort -7, -3, k, -1 in descending order. k, -1, -3, -7 Let u(q) = q**3 + 4*q**2 + 2*q + 5. Let f be u(-4). Let h = -194.1 + 194. Sort -5, h, -4, f. -5, -4, f, h Let s = -31 - -30.8. Sort s, -1, -4. -4, -1, s Let x = 18.9 + -19. Let l be 0 - 6/(-4) - 29/(-58). Put -2/15, l, -4, x in descending order. l, x, -2/15, -4 Let d = -18 + 14. Let f = 50.4 - 49.4. Put 3, 0, f, d in decreasing order. 3, f, 0, d Let d = 3 + -2. Let n(v) be the first derivative of v**4/4 - 16*v**3/3 - v**2/2 + 18*v + 4. Let l be n(16). Sort -3, l, d in decreasing order. l, d, -3 Let y = 1645 - 1647. Suppose h = -0 + 3. Sort y, 0, h. y, 0, h Let t = 174 - 175. Put 2, t, 0, 5 in descending order. 5, 2, 0, t Suppose 0 = -g - 4*g - 145. Let x be 2/(-12) + (-968)/33. Let i = g - x. Sort -0.1, i, 3. -0.1, i, 3 Let x = -85.37 - -85. Let z = x - -0.37. Put -1, z, -4 in ascending order. -4, -1, z Let n(x) = -49*x**3 + 6*x - 4. Let i(g) = -16*g**3 + 2*g - 1. Let w(c) = -7*i(c) + 2*n(c). Let z be w(-1). Sort 0, z, 2 in decreasing order. 2, 0, z Let j(i) = 5*i + 5. Let g be j(-15). Let l be (-4)/(-3) - g/15. Sort -2, -1, -5, l. -5, -2, -1, l Let g = -1140 - -905. Sort -5, -2, 4, g. g, -5, -2, 4 Let h(t) = -t**2 - 17*t - 21. Let m be (1/(-2))/((-17)/(-544)). Let x be h(m). Put 5, 2, x, 0.2 in ascending order. x, 0.2, 2, 5 Suppose 19*o - 39 = 6*o. Put -84, -1, o in increasing order. -84, -1, o Let p(f) = 2*f**3 - 40*f**2 - f + 23. Let h be p(20). Let k = 1 - 6. Sort h, k, 10 in increasing order. k, h, 10 Suppose -17 = 5*f + 8. Suppose 239*y + 263*y - 736*y + 259*y = 0. Sort 44, y, f in decreasing order. 44, y, f Let j = 1.5 - 14.5. Let f = -18 - j. Sort f, 1, 14 in increasing order. f, 1, 14 Let g be -2*(4/(-10) - (-27)/30). Let k(b) = 3*b + 3. Let l be k(-4). Let o be (9 - 6)*4/(-3). Sort g, l, o in descending order. g, o, l Let a(k) = -k - 9. Let b be a(-13). Let u = 3 + b. Let y be u + -6 + 4/2. Sort -0.4, y, 2/17. -0.4, 2/17, y Let q(b) = -b**3 - 19*b**2 - 14*b + 72. Let p be q(-18). Sort -4, 4, p, 28 in descending order. 28, 4, p, -4 Let b = 53.3 + -53. Let s = b - 0.5. Sort -5, 0.5, s in descending order. 0.5, s, -5 Let p = 1231 - 1226. Sort -0.3, 0, p, 2/7 in decreasing order. p, 2/7, 0, -0.3 Let b = -10 - -16. Suppose -3 - b = -3*m. Sort -4, m, 1 in descending order. m, 1, -4 Suppose -6*n = -2*n - 28. Suppose -n*k + 17 = 3. Suppose -h + 0*h = k. Sort h, 0, -1 in increasing order. h, -1, 0 Suppose 14 + 12 = 5*y - 2*m, y + 3*m + 5 = 0. Sort 1, 70, y in decreasing order. 70, y, 1 Let q(n) = n**3 - 6*n**2 - 7*n + 6. Let g be q(7). Suppose g = 6*a - 3*a. Suppose 3*b - 1 - 6 = -a*p, 5*b - 37 = 3*p. Sort -4, -9, b in decreasing order. b, -4, -9 Suppose -b - 2 = -4*a - 11, -2*b - 3*a - 15 = 0. Sort b, -24, -1 in decreasing order. -1, b, -24 Let r = 44 + -42. Suppose r*i + 1 - 5 = 0. Let n be (2/3 - 2)*-3. Put i, -3/4, n in descending order. n, i, -3/4 Suppose 2*f - 13 = -5. Suppose -3 = -f*b - 4*t + 5, 4*t = 5*b + 8. Sort b, -0.2, -0.3. -0.3, -0.2, b Suppose 6*k - 96 = 2*k. Let m = k + -24. Let t be (-3 - m) + (-40)/(-5). Sort 7, -0.3, t in descending order. 7, t, -0.3 Let f = 0.331 - 0.431. Let t = 0.2 + -0.1. Put f, t, 20 in descending order. 20, t, f Let c(u) = 2*u**2 + 1. Let l be c(5). Let r(s) = s - 5. Let k be r(-4). Let b be (-6)/9 - l/k. Put -5, 4, b in decreasing order. b, 4, -5 Suppose 3*b = -j - 2, -5*j - b + 6*b - 90 = 0. Let y(k) = -2*k**2 - 6*k + 4. Let i be y(-4). Let v = 1048 - 1046. Put i, v, j in decreasing order. v, i, j Let u = -1093 + 1091. Sort -2/3, -1, 1/5, u in ascending order. u, -1, -2/3, 1/5 Let i be (-9)/(-3) + -2*2. Let a(q) = -q + 11. Let w be a(18). Put w, i, 0 in decreasing order. 0, i, w Let p = -250 - -246. Sort -5, p, 3. -5, p, 3 Let c = 97.1 - 97.35. Put c, -2/5, 0 in increasing order. -2/5, c, 0 Let k = -3.26 - -3.76. Let y(a) = -a**3 - 6*a**2 + 4*a - 13. Let t be y(-9). Let b = t - 2520/13. Put k, -4, b in decreasing order. k, b, -4 Let f = 2.4 - 1.9. Suppose -24 = -3*x + 11*x. Let p be (x - 2)/(2 - -4). Sort p, f, -0.5. p, -0.5, f Let p(t) = -6*t - 23. Let n be p(8). Let u = 72 + n. Let y(r) = r**2 + r + 3. Let w be y(0). Put -7, w, u in decreasing order. w, u, -7 Let x be ((-8)/(-3))/(-4) - (-91)/231. Sort x, -1/4, 4 in descending order. 4, -1/4, x Suppose -112*o + 370 = -186*o. Sort -29, -6, o in decreasing order. o, -6, -29 Let o = -170 - -172. Put -2, -9, o, 0 in ascending order. -9, -2, 0, o Let p = -0.0578 + 0.0668. Sort p, -5, 2, -4/5 in descending order. 2, p, -4/5, -5 Let t = 2.42 + -5.42. Put -23, t, 3/7 in increasing order. -23, t, 3/7 Let b = 6621.1 - 6621. Let g = -2.5 + 0.5. Put -0.5, b, g in increasing order. g, -0.5, b Let x = 96.6 - 97. Sort -4, x, -0.1 in ascending order. -4, x, -0.1 Let n = -2552 + 2551.8. Let l = 8 - 63/8. Sort -6, l, n, 4 in descending order. 4, l, n, -6 Suppose 15 = 4*y + y. Let l(k) = -k**3 - 3*k**2 + 3. Let s be l(-2). Sort s, 0.4, y in descending order. y, 0.4, s Suppose 0 = 2*i - 3*i - 1. Let v = 2 - i. Let t = 1 + v. Put -2, t, 1 in decreasing order. t, 1, -2 Let x(p) = 16*p + 123. Let n be x(-8). Sort 37, n, 4. n, 4, 37 Suppose -69 = 13*s - 17. Let x = 32 - 31.9. Put s, 4, -3, x in ascending order. s, -3, x, 4 Let z be (9/6)/(6/(-40)). Let k be z - -7 - (0 - 2). Let c = k - -2. Put c, 3, -4 in decreasing order. 3, c, -4 Suppose 0 = -31*o - 85 - 163. Sort -3, o, -1 in increasing order. o, -3, -1 Let x(c) = 10*c - 5. Let y be x(3). Suppose 0 = 2*i + 9 - y. Let v be (-3)/(-1*156/i). Put v, -1, -2 in descending order. v, -1, -2 Suppose 3*s = 5*f + 26, -19*f - 10 = 3*s - 15*f. Sort s, -4, -39, -2 in descending order. s, -2, -4, -39 Let i = -8/11 - -43/44. Let c = 0.02 - 0.04. Sort c, i, -2 in ascending order. -2, c, i Suppose -14 - 10 = 4*p. Let s(l) = 3*l + 12. Let z(q) = q + 4. Let w(j) = p*s(j) + 17*z(j). Let k be w(0). Sort -2, -5, k in increasing order. -5, k, -2 Let p = 9 + -27. Let c be (-2)/(-9) + (-50)/p. Sort 0, c, 2 in decreasing order. c, 2, 0 Suppose 8 = 5*x - 7, 0 = 2*s + 5*x - 23. Let g = -15 + 15. Put s, g, 3 in decreasing order. s, 3, g Let x = 0 - -2. Let d(v) = 0*v - 9*v + 61 - 7*v - v**2. Let n be d(-19). Put 1, x, n in decreasing order. n, x, 1 Let o(t) = -2*t**3 + 3*t**2 + 5*t + 2. Let a be o(-1). Suppose -3*c + 6*c - 3*d = 12, c - 1 = 4*d. Sort c, a, -32 in ascending order. -32, a, c Let c(r) = -r + 9. Let j be c(4). Suppose 3*b + 4*s = -6 - 2, -s = -5*b + 25. Sort 18, b, j in ascending order. b, j, 18 Let i = -900 + 813. Sort i, -5, 1, -1 in descending order. 1, -1, -5, i Let h be (-1 - (1 + 0)) + 8. Let k be -1 + 0 - 12/(-3). Sort h, 2, k, -2 in ascending order. -2, 2, k, h Let u = 5 + -3. Let h = 13 - 8. Let n(c) = -3*c + 19. Let x be n(h). Put u, -5, x in ascending order. -5, u, x Let y be -6*(-6)/(-3 + -3). Sort -1/2, y, 1/7, 2/15. y,
{ "pile_set_name": "DM Mathematics" }
+ 10*v - 10*v. Calculate i*k(u) - 3*h(u). -2*u**3 Let u(p) = p**2 - p - 2. Suppose 4*x = m - 4, -2*m = x - 6 + 25. Let z = 3 - 2. Let g(k) = k - z + 2*k**2 - 3*k - 5. Calculate m*u(f) + 3*g(f). -2*f**2 + 2*f - 2 Let j(t) = 20 + 8*t**2 - 14*t**3 + 19*t**2 + 11*t**2 - 27*t**2. Let a(y) = -5*y**3 + 4*y**2 + 7. Give 11*a(z) - 4*j(z). z**3 - 3 Let t(q) = -2*q - 7. Let a(x) = -x - 3. Suppose 4*m + 0*m + 12 = 0. Determine m*t(k) + 7*a(k). -k Let l(v) = 13*v. Suppose -10*t + 2*t - 24 = 0. Let z(h) = -7*h. Give t*l(d) - 5*z(d). -4*d Let p(d) = 4*d - 1. Suppose 5*f - 6 = -3*n, -1 = -4*n + f + 7. Suppose h + n*h = 6. Let z(c) = 3*c + 1 - 6*c - h*c. Determine -3*p(s) - 2*z(s). -2*s + 1 Let g(j) = -j**3 - 2*j + 2. Let r = -6 - -11. Suppose 3*b = -r*s + 11, -2*b + 8 = 3*s + s. Let n(t) = 2*t**3 + 5*t - 5. Give b*n(d) + 5*g(d). -d**3 Let x(k) = -23*k + 7. Let a(g) = 11*g - 4. Give -5*a(y) - 3*x(y). 14*y - 1 Let n(l) be the third derivative of -l**4/12 - 7*l**2. Let h(p) = 2*p + 1. Determine 2*h(q) + 3*n(q). -2*q + 2 Let b(w) = w**2 - 4. Let k(t) = -t**2 + 2*t + 5. Let a(i) = -i**2 + 3*i + 6. Let d(j) = -2*a(j) + 3*k(j). Give -5*b(q) - 6*d(q). q**2 + 2 Let o(a) = -a - 19. Let l be o(-10). Let r(i) = -5*i + i + 0*i. Let z(m) = 17*m. What is l*r(s) - 2*z(s)? 2*s Let z(d) = -70*d + 2*d**2 - d**2 + 0 + 71*d - 1. Let w(o) = 11*o**2 + 6*o - 6. What is w(u) - 6*z(u)? 5*u**2 Let r(a) = 1. Let c(k) = -2*k**2 + 2. Give -2*c(u) + 4*r(u). 4*u**2 Let f(d) = 4*d + 6. Let x(w) = 13*w + 19. Determine 7*f(l) - 2*x(l). 2*l + 4 Let z(v) be the third derivative of -4*v**5/15 - 7*v**4/24 + v**3/2 + 8*v**2. Let c(m) = 11*m**2 + 5*m - 2. Determine -7*c(f) - 5*z(f). 3*f**2 - 1 Let g = -58 - -61. Let a = 12 - 8. Let n(t) = -t**3 + 2*t**2 - 3*t. Let q(o) = o**3 - 2*o**2 + 4*o. What is a*n(j) + g*q(j)? -j**3 + 2*j**2 Suppose u - 1 = 1. Let l(p) = -u + 0*p - p + 3*p. Let o(n) = -2*n - 1. Let h(i) = 5*i + 2. Let a(m) = 3*h(m) + 7*o(m). Give -5*a(q) + 3*l(q). q - 1 Let q(u) = 11*u**3 - 14*u**2 + 11. Let g(b) = 4*b**3 - 5*b**2 + 4. Let d = -35 - -32. Determine d*q(y) + 8*g(y). -y**3 + 2*y**2 - 1 Let r(b) = -11*b**2 - 15*b - 1 + 7*b**2 - 2. Let d(z) = -4*z**2 - 15*z - 4. Let s(m) = 3*d(m) - 4*r(m). Let j(f) = f**2 + 4*f. Calculate 22*j(y) - 6*s(y). -2*y**2 - 2*y Let l(a) = a + 2. Let k(q) = -2*q - 6. Suppose -31 = -5*y - 16. Calculate y*k(w) + 8*l(w). 2*w - 2 Let k(w) be the second derivative of 5*w**4/12 + 5*w**3/6 + 9*w**2/2 - 19*w. Let o(g) = 3 - 2 - 3 - g - g**2. Suppose 5*m - 27 = 2*m. Calculate m*o(a) + 2*k(a). a**2 + a Let g(b) = -b**3 - 3. Let t(s) = -2*s**3 - 5. Suppose -3*c + 8 = -1. Give c*t(y) - 5*g(y). -y**3 Let g(k) = 4*k**3 - 6*k**2 + 4*k - 6. Suppose 5*m - 3*m - 4*w = 10, 3*w + 9 = 2*m. Let j(u) = -3 + 2*u + 4 - u**m + 0*u**3 - 3*u + u**2. Give g(d) + 6*j(d). -2*d**3 - 2*d Let f(q) = 2*q - 8. Let r(g) = g - 1. Calculate f(i) - 3*r(i). -i - 5 Suppose 0*p + 6 = -3*p. Let n(r) = 2 - 2 - r. Let v(x) = 1 + 6*x - 8*x - x + 2*x. Calculate p*v(g) + 4*n(g). -2*g - 2 Let n(s) = -3*s + 6. Suppose 2*q + 0*h + 4*h + 8 = 0, -3*q = 3*h - 3. Let y(k) = -1 - 1 - 5 + 0 + 4*k. Calculate q*n(w) + 5*y(w). 2*w + 1 Let u(x) = 17*x - 5. Let m(w) = -84*w + 26. What is -2*m(v) - 11*u(v)? -19*v + 3 Let m(h) = 2. Let r(p) be the third derivative of p**4/12 - p**3/3 - 4*p**2. Let d(j) = 2*m(j) + 2*r(j). Let l(f) = 23*f. What is -34*d(k) + 6*l(k)? 2*k Let j(o) = -2*o**2. Let p be (2/(-4))/((-2)/(-12)). Let g = 0 + 2. Let h(b) = -b**g - 2*b + 2*b. Give p*j(r) + 5*h(r). r**2 Let s(q) = 11*q**2 - 5*q - 2. Let j(c) = c**2 - c. Let f(n) = -4*j(n) + s(n). Let m(b) = b + 2 - 8*b**2 + 5 + 2 - 7. Determine -6*f(i) - 5*m(i). -2*i**2 + i + 2 Let x(y) = 10*y**2 - 7*y + 7. Let g(s) = -s**2 + s - 1. Calculate -28*g(t) - 4*x(t). -12*t**2 Let l(n) = n**3 - n**2 - n + 1. Let p = -1 - 0. Let x(r) = -r**2. Let z(u) = 4*u**3 + 3. Let a(f) = 2*x(f) + z(f). Let q = -1 + 3. Give p*a(g) + q*l(g). -2*g**3 - 2*g - 1 Let n(f) = 2*f - 10. Let m(h) = 1. Calculate 8*m(d) + n(d). 2*d - 2 Let l(x) = 3. Suppose 15*h = 32 - 2. Let a(u) = -u**2 - 2. What is h*l(w) + 3*a(w)? -3*w**2 Let u(y) = 2*y - 10. Let l(g) = 1. Let t(b) = 3*l(b) + u(b). Let z(i) = -3*i + 13. Give -7*t(s) - 4*z(s). -2*s - 3 Let x(w) = -1. Let o(y) = 2*y + 2. Give -o(l) - x(l). -2*l - 1 Let b(p) = -3*p**3 - p**2 + 2. Let o(r) = 2 + 3 - 7*r**3 - 2*r**2 + 0. Calculate 5*b(l) - 2*o(l). -l**3 - l**2 Let b(o) = -6*o + 2. Let m be -1*2/((-4)/34). Suppose 0 = 3*i - 2 + m. Let t(n) be the second derivative of -7*n**3/6 + n**2 - 2*n. Calculate i*b(f) + 4*t(f). 2*f - 2 Let t be 3 + (-6)/(-3)*1. Let u(y) = -1 + y**2 - 2 - 2*y + t*y. Let i(p) = -p + 1. Suppose g = 3*f - f + 6, f - 19 = -5*g. Determine f*u(r) - 3*i(r). -r**2 Let l(b) = -4*b. Let n(j) = 19*j - 13. Let s(g) = 3*g - 2. Let f(u) = 6*n(u) - 39*s(u). Let v = 20 - 22. Give v*l(i) + 3*f(i). -i Let f(k) = -1. Let s(h) = -2*h - 2. Determine 4*f(v) + s(v). -2*v - 6 Let s(v) = 13*v + 4. Let x(i) = 6*i + 2. Calculate 2*s(b) - 5*x(b). -4*b - 2 Let t(r) = -5*r**3 + 6*r + 6. Let o = 52 - 59. Let s = 4 + -10. Let i(n) = 6*n**3 - 7*n - 7. Determine o*t(q) + s*i(q). -q**3 Let n(a) = -4 + 22*a - 3 - 3. Let t(p) = 7*p - 3. Let v = -8 + 13. Calculate v*n(d) - 16*t(d). -2*d - 2 Let p(c) = -2*c**3 + 9*c**2 + 9*c - 5. Let z(y) be the first derivative of 4/3*y**3 - 2*y - 1/4*y**4 - 3 + 2*y**2. Give 4*p(u) - 9*z(u). u**3 - 2 Let s(o) = 11*o**2 - 9*o + 6. Let j(r) = 4*r**2 - 3*r + 2. Let h(z) = 2*z**3 - z**2 - 4. Let x be h(2). Give x*j(p) - 3*s(p). -p**2 + 3*p - 2 Let s(u) be the second derivative of u**5/5 + u**4/3 - u**2/2 - 65*u + 1. Let q(t) = 13*t**3 + 13*t**2 - 4. What is 2*q(w) - 7*s(w)? -2*w**3 - 2*w**2 - 1 Let d(z) be the first derivative of -z**2 - z - 64. Let v(n) = -3*n - 2. What is 5*d(a) - 4*v(a)? 2*a + 3 Let c be (4/(0 + 2))/2. Let s(u) = -4*u**3 - 8*u**2 - 6. Let h(q) = q**3 + q**2 + 1. Calculate c*s(f) + 6*h(f). 2*f**3 - 2*f**2 Let h(l) = l**3 + 4*l**2 + 5*l + 4. Let s be h(-3). Let j(d) = d. Let a(i) = i**2 + 5*i. What is s*a(w) + 10*j(w)? -2*w**2 Let q(a) = a**2 + a - 1. Let t(p) = 2*p**3 - p**2 - p + 12. Calculate q(c) + t(c). 2*c**3 + 11 Suppose 3*p = -4*w + 20, -8*w + 3*w = -5*p - 25. Let m(d) = 2*d**3 - d**2 - 2. Let x(v) = 3*v**3 - v**2 - 3. Determine w*x(j) - 8*m(j). -j**3 + 3*j**2 + 1 Let p(o) = 10*o + 5. Let a(w) = 11*w + 4. Calculate 3*a(q) - 2*p(q). 13*q + 2 Let i(n) = 2*n**2 + 4*n - 7. Let a(f) = -f**2 - 4*f + 6. Let m(l) = 3*a(l) + 2*i(l). Let h(q) = 6*q**2 - 27*q + 27. What is -4*h(b) + 27*m(b)? 3*b**2 Let t(z) = -z**2 - 4*z - 4. Let q(r) = -2*r**2 - 7*r - 7. Let k = -16 - -20. Determine k*q(d) - 7*t(d). -d**2 Let b(r) = -r**2 + 4*r - 1. Let y be b(2). Suppose y*c - 10 = 4*l - 1, 2*l + 11 = -5*c. Let h(j) = 1. Let k(n) = -3*n - n + 3*n + 4. Calculate c*k(x) + 4*h(x). x Let q(o) be the second derivative of o**3/2 - 5*o**2/2 - 4*o. Let n(c) = -c + 2. Determine 15*n(g) + 6*q(g). 3*g Let y(j) be the second derivative of j + 0 + 7/2*j**2 + 8/3*j**3. Let h(t) = -5*t - 2. Give -7*h(u) - 2*y(u). 3*u Let j(y) = -5*y + 1. Let t(p) = -p + 1. What is j(a) - 6*t(a)? a - 5 Let s(q) = 8*q - 4. Suppose -2*d = -4 + 2. Let o(k) = k - 1. Give d*s(w) - 6*o(w). 2*w + 2 Suppose 0 = 8*z - 4*z + 8. Let t(i) = -3 - 2 + 1 - 1 - 6*i. Let b(c) = c + 1. Calculate z*t(k) - 11*b(k). k - 1 Let n(c) = -c**2 + c - 1. Let p(j) be the first derivative of -4*j**3/3 + 5*j**2/2 - 5*j - 18. Determine -5*n(q) + p(q). q**2 Let v(m) = -m**3 + m - 1. Let f(z) = -6*z**3 - 9*z + 9. Determine f(u) + 9*v(u). -15*u**3 Let k(w) = 23*w**2 + 8. Let z(l) = -8*l**2 - 3. Give -3*k(b) - 8*z(b). -5*b**2 Let f(c) = c - 1. Let k(j) = 6*j - 5. Calculate 5*f(o) - k(o). -o Let a(n) = n - 1. Let l(q) = -6*q + 16. What is -4*a(m) - l(m)? 2*m - 12 Let y(h) = 4*h**2 - 3*h + 9. Let l(t) = -3 + 4*t + 4 - 5*t. Let n = -1 - 0. Let s(i) = n*y(i) + 3*l(i). Let q(r) = -5*r**2 - 7. Calculate -5*q(u) + 6*s(u). u**2 - 1 Let o(c) = c**2 - c + 1. Let s(w) = -w**2 + 2*w - 2. Suppose -11 = 4*i - 23. Determine i*s(t) + 6*o(t). 3*t**2 Let s be ((-2)/4)/((-19)/342). Let j(k) = -6*k**2 + 2*k + 6. Let m(u) = -11*u**2 + 4*u + 17 - 4 - 2*u**2. Calculate s*j(x) - 4*m(x). -2*x**2 + 2*x + 2 Let s(j) = -3*j**3 + 4*j**2 + 5*j - 5. Let g(p) = -p**3 + 2*p**2 + 2*p - 2. What is 5*g(k) - 2*s(k)? k*
{ "pile_set_name": "DM Mathematics" }
g + 3*l - 11 = 0, -2*g + l - 3 = y for g. -5 Suppose 0 = -7*t + 2*t + 15. Let x be (35/(-15))/((-1)/12). Suppose 7*v + 2*k = 2*v + 58, -4*v + 3*k = -x. Solve t*y + 28 = 4*q, -4*q + 2*y + 14 = -v for q. 4 Suppose -19*h + 17*h = 14. Let w(n) = -n - 6. Let i be w(h). Solve 2*t + i = -j - 0*t, 2*t - 11 = -5*j for j. 3 Let s be (-11)/(-2 + (0 - -1)). Suppose 21*k - 18*k + 1 = -2*r, r + 3*k = -5. Solve 3*j = t + s, -2*t = r*j - 0*t - 28 for j. 5 Let y(h) = h**2 - 8*h - 4. Suppose 0 = 12*c - 10*c - 18. Let d be y(c). Solve 4*i = -d*t - 2 + 7, 5*t = -i + 20 for i. -5 Suppose 3*o + 4 = r, 23*o = 2*r + 28*o - 8. Solve -1 = r*h + 2*f + 3, -3*h - 3*f + 3 = 0 for h. -3 Suppose -4*u + 2 = -22. Let b be 32/(-12)*u/(-8). Solve 7*n = 2*n + 3*d + 17, -d + 9 = b*n for n. 4 Let m(f) = 2*f**2 - 27*f + 91. Let t be m(8). Solve -5*r + t*r - 5 = y, 2*y + 10 = 2*r for r. 0 Let r = 56 + -52. Solve -2*h - 3*o - 14 = -o, -r*o = -3*h + 7 for h. -3 Let r be 5 + 0 - (0 + 0). Let u = 88 - 80. Suppose 2*j - 4*m = -u, -4*m + 7*m - 6 = -4*j. Solve j*z = -5*l + 5*z - r, 3*l = -3*z + 27 for l. 4 Let d(x) = 2*x + 22. Let f(o) = o**3 - 3*o**2 - 4*o + 2. Let c be f(3). Let p be d(c). Solve p*k = 2*l - 8, k - l = -2*l for k. -2 Let c be ((-150)/(-45))/((-2)/(-3)). Solve -c*m - 2*n + 22 = 0, -n + 0*n = -1 for m. 4 Let h be 9 - (10/3)/(2/3). Solve -7 = 3*f - 5*n, 5*f = 5*n - 1 - h for f. 1 Suppose -12 = 55*v - 452. Solve -f = 3*k - 8, -v*f = -11*f - 2*k + 17 for f. 5 Suppose 4*u + 597 = 5*f, 5*f = 7*u - 2*u + 745. Let r = -145 - u. Solve 3*l = s - 15, l + 2*s + 8 - r = 0 for l. -5 Suppose -4*h + 2*x = -12 - 8, 4*h + x = 20. Solve 0 = -4*f - 3*p - 31, 0*f - 5 = -h*f + 5*p for f. -4 Suppose -3*f = -4*r - 24 + 17, -5*r = 4*f - 30. Solve -2*j - 5*u = 0, -4*u - 3 = -j + r*j for j. 5 Let d be 3/(-4) + 55/4. Suppose d*u + 6 = 14*u. Suppose 3*g + u - 12 = 0. Solve 5*x + q = g*q - 10, 2*x - q + 1 = 0 for x. -3 Suppose 0 = 3*f + 4*s + 6, 0*f - 5*f - 5*s - 5 = 0. Solve -2*w = -5*y + 6*y + 2, -w = f*y - 5 for y. 4 Suppose -5*y - 5*t - 40 = 0, 3*t + t = 3*y + 10. Let c be (4/y*12)/(-2). Solve c*w = -0*w + 4*g + 8, 4*g - 12 = 0 for w. 5 Let x(s) = 3*s - 24. Let y be x(11). Suppose -25 = 4*b - y*b. Let m = 17 - 12. Solve b*h = 2*h + m*j - 13, 0 = -2*h - 3*j + 23 for h. 4 Let g = 96 - 91. Suppose q - 6 = 7. Solve -i = -3*i - v, 3*i + q = g*v for i. -1 Suppose -120 = -5*j + 2*t + 184, -5*t + 170 = 3*j. Let f = 64 - j. Solve 5*y = -3*k + f*k - 20, 3*y + 3*k + 12 = 0 for y. -4 Let n = 40 - 35. Suppose -n*p + 34 = -3*a - a, -2*p = 5*a - 40. Solve 4*b - 2*d + 0*d - p = 0, -8 = -5*b - 2*d for b. 2 Let j be -2*(-3 + 0) + -2. Let k(i) = 50*i - 4695. Let a be k(94). Solve -j*p + 24 = 5*g, g + a*p - 6 = 3*p for g. 4 Suppose -11 = -5*p - 1. Let x be 44/16 - p/(-8). Suppose v + 5*a - 8 = -15, 2*v - 4*a - 14 = 0. Solve x*q + 2*h = v - 4, -4*q = 3*h + 1 for q. -1 Let d = -61 + 61. Suppose 3*k = 5*n - 63, d*n - k + 59 = 5*n. Solve 11 = 5*v + 2*g, 5*g = -v + n + 4 for v. 1 Suppose -2*v = 2*v. Let m = 0 - v. Suppose 0 = -m*n - 3*n. Solve 0 = -2*a - p - 4, a + n*p + 11 = 4*p for a. -3 Let t(u) = -u - 17. Let n be t(-22). Suppose 3*a = -2*a + 5*r + 75, -3*a + 51 = -n*r. Solve 4 = -4*f + a, 12 = 2*y + 2*f for y. 4 Let p be 14*(28/(-8) + 4). Suppose p*c = 4*c. Let g be c/(1 + 4 + -3). Solve g = -3*f - 4*x - 12, -6*x = -3*f - x + 15 for f. 0 Suppose 0 = 11*k - 16 - 17. Solve 2*c - k = 3*w, 4*w + 4 = c - 0*c for w. -1 Suppose 2*v - 4 = v. Solve 3*r = -3*x - 6, v = 4*r + 20 for x. 2 Suppose 0 = 4*u, 3*c + 5*u - 5 - 4 = 0. Let a be (8/c)/((-4)/(-6)). Let o be -2 - (a + -14)/5. Solve 26 + 6 = 4*r - 4*y, -4*r - y + 12 = o for r. 4 Let f(b) be the third derivative of -b**6/120 - b**5/30 - b**4/24 - 5*b**3/3 - 9*b**2. Let y be f(-3). Solve -4*c - 2*h = 8, 2*c - y*h - 8 = -0*c for c. 0 Let y be (0 - (-3)/2)*(-16)/(-12). Suppose -1 = c - 3*d, d - y*d + 2 = 0. Solve -5*x = 3*s - 22, x + 20 = c*x + 3*s for x. 2 Suppose -41*s + 34*s = -14. Solve 5*o = s*f - 44 + 26, 0 = 4*f + 5*o - 6 for f. 4 Let k(n) = n**3 + 6*n**2 + 5*n + 3. Let v be k(-4). Suppose -89*o = -88*o - 5. Solve 0 = o*c - 2*b + 10, -2*b - b - v = 0 for c. -4 Suppose -2*h - 2*z + 3*z + 17 = 0, 0 = -h - z + 1. Solve -q + 15 = 5*f, -h*f + 5*f - 1 = q for q. -5 Let r = -44 - -22. Let p = r + 26. Solve 28 = 2*v - p*s, s + 17 = -2*v - 4*s for v. 4 Let y(c) = c**2 - 22*c + 45. Let j be y(2). Solve -x - j*d + 14 = -6, 0 = 3*d - 9 for x. 5 Let v(s) = -2*s + 9. Let w be v(3). Suppose 9 = -w*z + 6*z. Solve 0*r + 1 = -h - 2*r, -5*h + z*r = -21 for h. 3 Let r(d) = d - 26 + 2*d - 1. Let p be r(9). Let t(y) = y**3 + y**2 + 16. Let z be t(0). Solve -4*n - z = p, -4*n - 6 = 3*i - i for i. 5 Suppose 3*n - 4*y - 6 = -0*n, 0 = n + 3*y - 2. Solve 4*a - 12 = 5*p + 8, 3*a = n*p + 8 for p. -4 Let s = -74 - -93. Suppose -55 = -s*c + 8*c. Let h be (0 + 1)*(2 - 0). Solve -2*b + 3*l + 10 = 0, -h*b + c*l + 10 = -0*l for b. 5 Let z = 33 - 16. Suppose 0 = 5*t + 2 - z. Suppose 0 = 4*l - 17 + 5. Solve 0 = 3*f + t*r - l, 4*r = 2*f - 3*f - 5 for f. 3 Let t(g) = g + 46. Let n be t(-19). Suppose 73 - n = 2*a. Suppose 5*r - a = 2. Solve -k + r = 0, -2*k + 24 = 2*m + 2*k for m. 2 Let c = -9 - -7. Let x = -14 - c. Let b = x + 30. Solve 5*p - 6 = 4*s, 3*s + 6*p = 3*p - b for s. -4 Suppose 0 = 5*d - 9*d - 8. Let p be 0/(d + 4 - 0). Let g(j) = j - 1. Let t be g(4). Solve 0 = -x + t*q, -14 = 5*x - q - p*q for x. -3 Suppose 2*s = m + 221, -3*m = 2*m + 5. Let v be 1/(-5) + 11/(s/332). Solve 2*b = -f + 6 + 2, 4*f + v = 5*b for f. -2 Suppose -3*w - 4*u = -6*w + 22, 2*w - 9 = -3*u. Solve 5*g - 2*b = -1, 0*g - w = -3*g - b for g. 1 Suppose 0 = -2*j + 4*c + 24, 6 = j + 5*c + 22. Solve -j - 10 = -d - 3*b, 5*d = -3*b + 10 for d. -1 Let w(j) = 3*j + 39. Let a(g) = -2*g - 19. Let z(x) = -5*a(x) - 2*w(x). Let n be z(-3). Solve 2*k = -4*l - 6, 21 = l - 0*l + n*k for l. -4 Let h(o) = -3*o + 5. Let t(u) = u - 1. Let p(v) = h(v) + 2*t(v). Let g be p(0). Suppose -3*s - g = -9. Solve 15 = 5*n + s*f, 0*f = 4*n - 3*f + 11 for n. 1 Let w be (-99)/(-45) + -2 + (-9)/(-5). Solve 4*s - w*o + 14 = 0, 3*o + 5 + 4 = 0 for s. -5 Let w be (-3)/(-1) - ((0 - -1) + -1). Solve 5*z = -w*l - 26, 5*l + 4 = z - 2 for l. -2 Suppose -5*r + 21 = 1. Let p be (r - 2) + (-5 - -3). Suppose 0 = -3*k - 0*k + 9. Solve -l = k*g - 6*l + 8, -l + 1 = p for g. -1 Suppose z - 4*q = -z - 24, -5*z = 2*q + 84. Let i = 17 + z. Let d = 3 - i. Solve -5*p + 3*h = 12, -p + 8 = 2*p + d*h for p. 0 Let c be 12*(7/(-4) + 4). Suppose x - 7 = -n, 9*x - c = 4*x - 3*n. Suppose x - 23 = -4*d. Solve -2*k - 2*s + 4*s = -10, d*s = -20 for k. 1 Suppose 7*r - 11*r = -4. Let s(t) = 3*t**2 + 4*t - 3. Let q be s(r). Solve q*i + 3*y - 3 = 0, -2*i = -y + 1 - 0 for i. 0 Let i = -1915 - -1920. Solve f = -i*a + 10, a - 7*f - 2 = -2*f for a. 2 Let t be ((-48)/(-2))/((-3)/6). Let k be (-5 + t/(-9))*15. Solve -k*x - 16 = 3*o, -2*o = 4*x + o + 11 for x. -5 Let w = -567 - -569. Suppose -4*p - p = -15. Suppose -p*n + f + 19 = 0, 2*n - 7 = 4*f - 9*f. Solve 5*t + n = 3*g, 0 = -0*t - w*t for g. 2 Let a be (-20)/6*3/(-2). Let k be a + 3/(-3) + -1. Suppose -5*z = -12 - 8. Solve -4*x + w = 7, -k*x = -x - z*w + 14 for x. -1 Let i be (10 + -13)/(2/(-2)). Suppose -2*s + 3 = i*o - 2*o, -4*s = 5*o - 15. Solve 3*n + 2*h + h = -6, 3*n - h + 2 = s for n. -1 Let q(j) = -30*j**3 + j**2 + j. Let i be q(-1). Suppose f - 3*f = -6, 3*o + 5*f = i. Solve 3*h - 5*h = 4*s + 26, 3*s = -o*h - 30 for h. -3 Suppose 0 = 159*o - 143*o - 336. Solve -p + 3*z + 7 = -0*p, 0 = 5*p - z - o for p. 4 Let h be (110/(-3))/((-4)/12). Suppose -r + 5*x + 10 = 48, 4*r + h = -x. Let m = r - -29. Solve 3*d = 5*i + m, 0 = i - 3*d + 2 + 3 for i. 1 Let c = -95 + 99. Solve 4*u + 15 = -3*m, c*u - 3*u = -5*m - 25 for u. 0 Let d(i) = 4*i**2 + 1. Let m be d(1). Suppose -39*y + 16 = -34*y + 3*v, 4*y - v = 23. Solve -h + y*x = m, -x + 12 = h + h for h. 5 Let t = -336 - -338. Solve 2*m + t*p = m + 1, -4*p = -8 for m. -3 Let p(a) = 25*a - 66. Let u be p(3). Solve -5*x - 2 = 3*n + 5, -5*x - u = n for n. 1 Suppose 11 = -3*x + 4*n - 9*n, x + 5 = -2*n. Suppose c + 4 = 3*c. Let i = c + 18. Solve -2*s - i = 2*s - x*l, -2*s - 2*l = 10 for s. -5 Suppose 6*p = -0*p - 30. Let j be (-7 - p)*(2 + -3). Solve -10 = -2*r - 2*z + 5*z, j*r - 4*z - 10 = 0 for r. 5 Let d(w
{ "pile_set_name": "DM Mathematics" }
30 Suppose 0 = 2*w + 2*p - 38, -3*w + 0*p + 55 = p. Calculate the remainder when 52 is divided by w. 16 Let v = -613 - -863. Calculate the remainder when v is divided by 20. 10 Let h(z) = z**2 - z - 2. Let f be h(-2). Suppose -f*d + 8 = -0*d. Let l(t) = 3*t + 2. Calculate the remainder when 21 is divided by l(d). 5 Suppose 145 = 4*w + 3*q, -4*w + 5*q + 105 = -2*w. What is the remainder when 115 is divided by w? 35 Suppose k = 3*k. Suppose l - 4*l + 486 = k. Suppose 4*x = l - 46. What is the remainder when x is divided by 11? 7 Suppose 3*y + 0*y = -2*g + 263, 3*y = 3*g + 258. Let q = 32 + -25. Suppose 16*a = q*a + 198. Calculate the remainder when y is divided by a. 21 What is the remainder when 434 is divided by 47 - 24 - (2 + -8)? 28 Suppose -3*g = t + g - 61, 4*t = -g + 289. What is the remainder when t is divided by 4? 1 Let j be 10*(-1 - 1 - -4). Suppose -4*x - 5*f + 0*f + 60 = 0, -5*f + j = 0. Let w = x - 0. Calculate the remainder when 28 is divided by w. 8 Let n(a) = -3*a - 4. Let v be n(-3). Suppose 0 = v*p - 4*h + 35 + 21, -4*h = 5*p + 64. Let q = 20 + p. Calculate the remainder when q is divided by 5. 3 Calculate the remainder when (176/4)/(1/4) is divided by 20. 16 Suppose 645 = 3*s - 315. What is the remainder when s is divided by 41? 33 Let j(g) = g**2 - 3*g - 8. Let c = -4 + -3. Let x be j(c). Suppose 4*u + 2*w - 136 = 6*w, -x = -2*u + 4*w. What is the remainder when u is divided by 20? 17 Suppose -4*y + 328 = -2*y - t, -4*t = 2*y - 328. Calculate the remainder when y is divided by 21. 17 Suppose -8*v + 13*v - 275 = 0. Suppose 0 = 2*f - 12 - 0. Suppose k + v = f*k. Calculate the remainder when 32 is divided by k. 10 Suppose -3*q + u + 333 = 0, 2*u = -11*q + 15*q - 444. What is the remainder when q is divided by 34? 9 Let t(a) be the second derivative of a**3/6 + 7*a**2/2 + 2*a. Suppose 15 = 3*u - 0. Calculate the remainder when t(10) is divided by u. 2 Let o(v) = 6*v**2 - 3*v + 19. Calculate the remainder when 89 is divided by o(0). 13 Suppose -g = -4, u + 2*u + 4 = -2*g. Calculate the remainder when 64 is divided by -3 + (3 - 1) - (u - 8). 9 Let l = 127 - -40. Suppose 3*a - 4*d = 84, -9*a - 2*d - 30 = -10*a. What is the remainder when l is divided by a? 23 Calculate the remainder when (1/1)/(8/1360) is divided by 35. 30 Let n(c) = c**3 + 8*c**2 - 4*c - 10. Suppose -85*p + 113*p - 1736 = 0. Calculate the remainder when p is divided by n(-8). 18 Suppose -2*l + 41 = -2*p + 123, -190 = -5*p + 2*l. Calculate the remainder when 142 is divided by p. 34 Let j = -30 - 25. Let k = 78 + j. What is the remainder when k is divided by 8? 7 Let g = 25 + -5. Suppose -8*t + 3*t = -g. Suppose -t*f + 2*o = -o - 104, -2*f + 66 = -5*o. What is the remainder when 45 is divided by f? 22 Let y(z) = -8 - 3 - z - z. What is the remainder when y(-18) is divided by 10? 5 Let y be 112/(-5)*(-8 + 3). Suppose -y - 60 = -4*c. What is the remainder when 83 is divided by c? 40 Let g = -69 - -66. Suppose a + 1 = 30. What is the remainder when a is divided by (48/20 + g)/((-1)/10)? 5 Let v(l) = -l - 7. Suppose -34 = 4*i + 10. What is the remainder when v(i) is divided by 4? 0 Let d = 0 + 0. Suppose -4*t + 10*t - 24 = d. What is the remainder when 33 is divided by t? 1 Suppose 5*i - 3*o = -8*o + 210, i + 2*o - 41 = 0. What is the remainder when 84 is divided by i? 41 Let x = -468 - -490. Calculate the remainder when 190 is divided by x. 14 Let l = 109 - 105. Suppose -c - 35 = -5*d + 17, l*d = -4*c + 56. Let o(y) = -y**3 - 2*y**2 + 3*y. Calculate the remainder when o(-4) is divided by d. 9 Let y = 21 + -12. Suppose 0*d - 4*d + u = -5, 0 = 4*u + 20. Calculate the remainder when y is divided by 1 - d - (7 + -10). 1 Calculate the remainder when 6 + 289 + -3 + (9 - 15) is divided by 9. 7 Let d(y) = y - 12. Let g be d(6). Let c = g + 13. Suppose -3*l + p = -83, 2*p - c = 1. What is the remainder when l is divided by 10? 9 Let d(s) = s**2 - 3*s - 3. Let n = -13 - -15. Suppose -11 - 1 = -n*j. What is the remainder when 44 is divided by d(j)? 14 Suppose 0 = -12*s + 10*s + 12. Calculate the remainder when s/(-15) - 644/(-10) is divided by (-94)/(-4) + (-42)/28. 20 Let y(o) = o**3 + o**2 - 2*o + 126. Let h be y(0). Suppose -r + 144 = r. Let p = h - r. Calculate the remainder when p is divided by 11. 10 Suppose -4*t - 12 = 0, -k - 3*t - 126 = -2*k. Calculate the remainder when k is divided by 40. 37 Suppose 5*z + 49 = 159. Calculate the remainder when -128*((-27)/6 + (-4 - -8)) is divided by z. 20 Suppose 3*d - 3*b + 0*b = 60, -3*d = -2*b - 55. Suppose 2*l - 4*y = -7*y + 6, 3*l - 19 = -2*y. Let x = l + 49. Calculate the remainder when x is divided by d. 13 Suppose g = -g + 98. Suppose x - g = 32. Calculate the remainder when x is divided by 14. 11 Suppose -r = 3*r - 104. Suppose k + 0*k = r. Let a = 284 - 210. Calculate the remainder when a is divided by k. 22 Let q(f) = -4*f + 14. Let x be q(3). Suppose 0 = -6*t + t - x*w + 122, -2*w + 2 = 0. What is the remainder when 119 is divided by t? 23 Calculate the remainder when 104 is divided by ((-595)/(-14))/(-5)*-6. 2 Let q = -95 - -112. Let h = 2 - -8. What is the remainder when q is divided by h? 7 Calculate the remainder when 13 is divided by 1/((-24)/30 - (2 - 3)). 3 Let n = 619 - 582. What is the remainder when 71 is divided by n? 34 Let f(s) = s**3 - 2*s**2 + 2*s - 1. Suppose -38*x - 44 = -43*x - 2*c, 5*x + c - 42 = 0. What is the remainder when f(3) is divided by x? 6 What is the remainder when 47 is divided by (-230)/(-8) - 17/(-68)? 18 What is the remainder when 0 + (16/12)/((-7)/(-1155)) is divided by 60? 40 Let c(d) = -d**3 - 8*d**2 - 27*d - 121. Calculate the remainder when 218 is divided by c(-7). 9 Let b = 246 - 189. What is the remainder when 340 is divided by b? 55 Let n(v) = -v**3 - 2*v**2 - v + 55. Let l be (-1)/(-5 - (2 - 6)) - 1. What is the remainder when n(l) is divided by 15? 10 Let u = -1998 + 2147. Let v(r) = 4*r**3 + r**2 + r. Calculate the remainder when u is divided by v(2). 35 Suppose -b - 4 + 1 = 0. Let d be -6*b/(-6)*-13. Suppose -d = 6*w - 141. Calculate the remainder when 65 is divided by w. 14 Suppose -j - 5*w = -5, -5*j - 6*w = -4*w - 25. Suppose 39 = k - j. Let n = -20 + k. Calculate the remainder when n is divided by 14. 10 Calculate the remainder when 433 is divided by 10 + 1568/(-154) - 1234/(-11). 97 Let p = -387 - -564. Suppose -7*k + 2*k = -j - p, 0 = -k - 3*j + 29. Calculate the remainder when 101 is divided by k. 31 Let j(d) = 41*d + 10. Let f(h) = -h**2 + 7*h - 2. Let v be f(6). What is the remainder when j(v) is divided by 35? 34 Suppose 11*y = 12*y - 4. Suppose -4 = 2*j + 5*m + 9, -y*j - 3*m = -9. Suppose j*t - 160 = t. Calculate the remainder when t is divided by 11. 10 What is the remainder when 28 - (9 + -11)*(-3)/(-2) is divided by 8? 7 Suppose -c = -m - 0*c + 12, -15 = -3*c. Suppose -4*x = -4*a + 52, -x - 37 = -3*a - 2. What is the remainder when m is divided by a? 6 Suppose -2 = z - 7. Suppose 20 = z*t - 0*t. Suppose t*m - 210 = -m. Calculate the remainder when m is divided by 15. 12 Let u(z) = 13*z - 36. What is the remainder when 375 is divided by u(6)? 39 Let y = 9 - 22. Let l = y + 51. Let c = -21 + l. Calculate the remainder when 32 is divided by c. 15 What is the remainder when 1/(-5 + (-2076)/(-414)) is divided by 40? 29 Suppose -2*f + 5*f - 3 = 0. Calculate the remainder when 106 is divided by (-53)/(-2) + f/2. 25 Let b = 69 - 56. Calculate the remainder when b is divided by 8. 5 Suppose -5*c + 2*z = -4*c - 149, -2*c + 318 = z. Calculate the remainder when c is divided by 36. 13 Let x = -814 + 887. Calculate the remainder when x is divided by 43. 30 Let l(b) = -b**2 - 13*b + 159. Suppose 2*a + 3*p = 3, 3*p - 15 = -0*p. What is the remainder when 208/6 - (-4)/a is divided by l(7)? 15 Suppose d + 6 + 11 = 0. Let k = d + 28. Let c = 36 + -17. Calculate the remainder when c is divided by k. 8 Suppose -3*u = 3*u + 576. Let x = u - -135. Suppose -2*k = k - x. What is the remainder when k is divided by 7? 6 Suppose 0 = 20*o - 26*o + 204. Let a = o - 11. What is the remainder when 66 is divided by a? 20 Let z = -19 - -10. Let r be 9/(z/(-2)) + 2. Suppose -r*t = -21 - 31. What is the remainder when 36 is divided by t? 10 Let q(f) = -5*f + 11. Let c be q(-5). Calculate the
{ "pile_set_name": "DM Mathematics" }
**2 + d*u and give f. 2 Express -3*r**3 + 3*r**4 - 6 + 2 - 3 + 16*r**2 + 2 - 20*r**2 as x*r**4 + c*r + t + f*r**3 + s*r**2 and give c. 0 Express 4 + 19*h**3 + h**4 - 7 - 21*h**3 + 4*h**2 as w*h + f*h**3 + l*h**2 + c + q*h**4 and give q. 1 Rearrange 2 + 52*j**2 - 11*j**2 + 29*j**2 - 5*j**2 - 3 to the form h*j + a + o*j**2 and give h. 0 Rearrange 3*r - 5 + 16*r - 4*r + 43*r to the form k + d*r and give k. -5 Express 8*p**3 - 36*p**2 + 57*p + 41*p**2 - 57*p + 3 as w*p**2 + o*p + g*p**3 + m and give w. 5 Rearrange 132*u**4 + 140*u**4 - 82*u**4 + (-u**4 - 3*u**4 + 2*u**4)*(-3 + 3 - 2) to the form l*u**3 + s*u + j*u**2 + r*u**4 + z and give l. 0 Express -388 - 286 - b - 94 - 229 + 79 in the form x*b + o and give o. -918 Rearrange (-2*m + m - m + 3*m - 4*m - m + (3*m - 7*m + 8*m)*(-3 + 3 + 2) - m - 7 + 7)*(2*m + 5*m**2 - 2*m) to q*m**3 + x + c*m + l*m**2 and give q. 15 Rearrange (-1 + 0 + 3)*(0*u + 2*u**2 + 0*u)*((-50 + 19 + 20)*(1 + 0 - 2) + 0 + 0 + 2) to c*u + g + w*u**2 and give g. 0 Rearrange ((p - 2*p - p)*(3 - 4 + 3) - p + p - p)*(-26*p - 14*p + 7*p)*(14 - 11 - 26) to i*p + u + z*p**2 and give z. -3795 Express 92*c**2 + 1 - 38*c**2 + 57*c**2 + c in the form n*c + h*c**2 + l and give h. 111 Express -203*q + 422 + 421 - 843 in the form w + a*q and give a. -203 Express ((5*d**2 + 5 - 5)*(-2*d + 0 + 0) + 0*d**3 + 5*d**3 - 2*d**3 + 2*d)*(-4*d + 5*d + 0*d) in the form q*d**3 + p + a*d**4 + x*d + c*d**2 and give q. 0 Express -14*l + 136 - 22 - 18*l + 33*l in the form q*l + b and give q. 1 Express 11 + 23*m - 23*m + 2*m**3 + 36 + 5*m**3 in the form z*m**3 + k*m**2 + l*m + j and give j. 47 Rearrange 255*t - 7 + 0*t**2 + 0*t**2 - 254*t - t**3 + 4*t**3 to the form p + s*t**2 + u*t + f*t**3 and give u. 1 Rearrange (0 - s + 0)*(14 + 4*s - 14 + (-1 + 4 - 1)*(3 - 3 + 2*s) - 3*s + 4*s + s + 0 - 2*s + 0) to q + r*s**2 + m*s and give r. -8 Rearrange -31 + 12*t + 6 + 46 to l*t + k and give l. 12 Rearrange 14 - 2*a + 3*a**2 + 10 - 24 + 0*a**2 to k*a + n + m*a**2 and give n. 0 Rearrange 10*p - 2*p + 94*p to s + t*p and give t. 102 Express 6285 - 6292 - 4*u - 61*u in the form j*u + n and give j. -65 Express -1684368*z**2 - 100*z**3 + 4*z + 1684368*z**2 in the form c*z**3 + y*z + a*z**2 + p and give c. -100 Rearrange -v**2 - 6*v**4 + 14*v**4 + 4*v - 3*v**4 + v**4 - v**3 + 1 - 4*v**4 to the form n*v**2 + o + k*v**3 + w*v**4 + s*v and give o. 1 Rearrange (4*u - 3*u + 0*u)*(7*u**3 - 7*u**3 - 3*u**3) - 16*u**4 - 2*u**4 + 6*u**4 to the form f*u**2 + h*u + d*u**3 + o*u**4 + z and give o. -15 Express 370*x**2 + 225*x - 115*x - 112*x in the form t*x**2 + z + g*x and give t. 370 Express 78*o**2 - 229*o**2 - 177*o**2 as i + a*o + n*o**2 and give n. -328 Rearrange (3*z - z - 4*z)*(1573*z - 407*z - 188*z) - z**2 + z**2 - 3*z**2 to the form y*z + l + j*z**2 and give y. 0 Express -6 - 4 - 20 - 1 + 3*y**4 - 3*y**3 in the form z*y**3 + v*y**2 + d*y + a + h*y**4 and give a. -31 Express 6*p - 226 + 227 - 20*p - 58*p**2 in the form m + v*p**2 + a*p and give v. -58 Rearrange (2*s - 2*s + s)*(3*s + s - 3*s) - 10*s - 41*s - 14*s - 2*s**2 to the form r + l*s**2 + x*s and give l. -1 Express -32*x + 34*x - 10 + 29 + x + x - x + (x + 0*x - 4*x)*(3 + 1 + 0) as h + j*x and give h. 19 Rearrange (28 - 6 - 3)*(-3 + p + 3)*(2 + p - 2) to the form q + v*p**2 + w*p and give v. 19 Express l + 11 - 55*l**2 - l + 51*l**2 in the form h + v*l**2 + p*l and give h. 11 Express 1112 - 1112 - f + 67*f**2 in the form x*f + d*f**2 + o and give x. -1 Rearrange -5*l**2 + 2*l**2 + 2*l**2 + 1094 + 649 to the form r*l + i*l**2 + o and give i. -1 Rearrange -5 - 11 + 17 - 17*x**2 + 25*x**2 + 2*x to the form o*x**2 + y*x + p and give p. 1 Rearrange -2 - 22*u**2 - 122*u**3 + 41*u**2 - 18*u**2 to the form x*u**2 + i*u**3 + n*u + g and give g. -2 Express (43 - 2*j**3 - 43)*(2 - 2 - 2) + (-33 + 33 - 14*j)*(2*j**2 - 5*j**2 + 4*j**2) in the form t*j**3 + w + m*j + q*j**2 and give t. -10 Express -t + 18*t**3 - 11*t - 9*t + 2*t**2 - 2 + 3*t**4 + 23*t as n*t**4 + k*t**3 + z*t + r*t**2 + w and give k. 18 Express (-13 + 24*v - 11*v - 14*v + (0*v + v + 0*v)*(-5 - 4 + 3))*(-5*v - v + 3*v) in the form k*v**2 + p + i*v and give i. 39 Rearrange 3*l + 1652*l**2 - 3*l + l**3 + 4 + 2*l - 1616*l**2 to w + q*l**2 + m*l**3 + g*l and give w. 4 Express 33*q - 578*q**4 + 40*q**3 - 35*q - 42*q**3 as w*q**4 + z*q + b*q**3 + i*q**2 + a and give z. -2 Express (-90 - 740 - 188)*(6*s**2 - s**2 - 4*s**2) in the form y*s**2 + a + b*s and give y. -1018 Rearrange (r + 3 - 4*r + 0*r)*(0 + 0 - 2)*(-r + 0*r + 0*r + 3) - 180*r + 180*r - 7*r**2 to the form j + b*r + l*r**2 and give b. 24 Express -2 + 35682*r**2 - 3*r**3 - 3*r - 4*r - 35682*r**2 in the form n*r**2 + v*r + l + p*r**3 and give p. -3 Express 4*h**4 - h**2 + 0*h**2 - 28*h**4 + 18*h**4 - 5*h**3 - h + 4*h as g + m*h + s*h**3 + k*h**2 + y*h**4 and give y. -6 Rearrange (200*v + 11*v + 40*v)*(-2*v + v - v) + 2*v**2 + 2*v + 3*v**2 - 3*v**2 to the form m + g*v + j*v**2 and give g. 2 Rearrange (-3625*f + 495*f + 64*f + 2)*(0*f + 0*f + 2*f**2) to the form s + m*f**3 + g*f + u*f**2 and give m. -6132 Rearrange (3 - 2 - 3)*(0 + 0 + m) + (-5*m + 4*m + 0*m)*(34 + 21 - 329) to l + f*m and give l. 0 Rearrange -7 + 13*j**4 - 2*j + 10*j**2 + 10 - 12*j**2 + 2*j**3 to p*j**2 + s*j**3 + i + d*j**4 + g*j and give g. -2 Express (18 - 2 - 3)*(-8*u**2 - 8*u**2 + 5*u**2) + (1 - 1 + u)*(-2*u - u + 5*u) in the form x*u + f*u**2 + o and give f. -141 Rearrange -t + 2*t**4 + t + (t - 2*t - 4*t)*(-42*t**3 + 59*t**3 - 131*t**3) to the form s + w*t**2 + v*t**4 + r*t**3 + g*t and give v. 572 Rearrange -130*y**4 - 2 - 10*y**2 + 124*y**4 + 2*y + 17*y**2 - 2*y**3 to j*y**2 + u*y**3 + c*y + g + l*y**4 and give j. 7 Express (193033 - 2309*j - 738*j - 193033)*(2 - 3 - 1) as k*j + p and give k. 6094 Rearrange (0 + 0 + p)*(-p - 2*p + 2*p) - 56*p**2 - 47*p**2 + 36*p**2 to the form r*p**2 + c*p + v and give c. 0 Express 3*j - j - 60*j**4 + 58*j**4 - 11 in the form o*j**4 + g*j + n*j**3 + p + u*j**2 and give g. 2 Express -4 - 10 - 1 + g as q + n*g and give n. 1 Express (5 + 2*s - 5 + (-3 + 2 + 3)*(4 - 4 + s))*((-s - 3*s + 5*s)*(-8 - 3 + 1) - 2 + 2 + s - 12*s + 2*s - 30*s) as g*s**2 + c + i*s and give i. 0 Express 23*x**2 - 788 + 792 + 7*x**2 in the form t*x + l*x**2 + c and give c. 4 Express -11*o**4 + 61*o - 7*o**2 + 9*o**2 + 8*o**4 + 5*o**4 in the form n + w*o**4 + b*o**3 + d*o**2 + u*o and give u. 61 Express 14 + 14 + 12 - 49 - 69*l**2 + 8 as z*l**2 + d*l + i and give z. -69 Express 9*n - 1022 - 1013 + 2015 in the form f*n + c and give c. -20 Express -4*n**4 - 72*n**2 + 12*n - n**3 + 6*n**4 + 6*n**2 + 26*n**2 as y + z*n**4 + j*n + h*n**3 + o*n**2 and give h. -1 Rearrange -386*x**2 - 6*x**3 - x + 377*x**2 + x to c + l*x + h*x**2 + w*x**3 and give h. -9 Express -2536*s**4 + 3*s**3 + 2539*s**4 + 0 + 1 in the form o*s**3 + b*s + l + j*s**4 + r*s**2 and give l. 1 Express -11*v**2 + 5*v**2 + 1 - v**4 + 10*v**2 - 3*v as a*v**3 + n + y*v + m*v**2 + p*v**4 and give a. 0 Rearrange 1 - 95*v**2 + 5*v + 198*v**2 - 104*v**2 to y + z*v**2 + g*v and give g. 5 Express 36*y + 7*y**3 - 3*y**3 - 35*y + 2*y**3 + 81*y as u*y**3 + s + p*y**2 + r*y and give r. 82 Rearrange 2*r**2 + 0*r**2 + 2*r**2 + (-5*r + 2*r + 5*r)*(r - 5*r + 3*r) + 21*r - 12*r - 4*r**2 - 7*r to the form g*r + u + t*r**2 and give u. 0 Express -70*j**3 - 2*j**2 + j - 6*j + 1 - 4*j - 49*j**3 + 10*j as k*j**2 + v*j**3 + a*j + i and give k. -2 Express 1 + 3*g**4 - 1 + (g**4 + 8*g**4 - 5*g**4)*(-3 + 0 + 5) - 2*g**2 + 2*g**4 + 2*g**2 in the form l*g + f*g**2 + w + t*g**4 + h*g**3 and give t. 13 Express -2*m - 2*m - 26*m**2 + 3 - 1 - m**3 + 24*m**4 + 27*m**2 in the form q*m**4 + y*m**3 + v + u*m**2 + f*m and give f. -4 Rearrange -186*c**2 + 44*c**2 - 18*c**2 + 1 - 1 to the form j + h*c + d*c**2 and give d. -160 Rearrange 105*q**2 - 1 + 25*q**2 + 0 to the form k + d*q + w*q**2 and give k. -1 Express -97*x**2 + 10791 - 10791 in the form l + u*x**2 + m*x and give u. -97 Express 305*o - 287*o - 177*o - 794*o in the form r*o + w and give r. -953 Rearrange -1 + 12*j**3 + 1 - 4*j**4 - 9*j**3 + 27*j to the form o*j**4 + p*j + s*j**3 + m*j**2 + i and give p. 27 Rearrange (0 + 0 - 5 + (-2 + 0 + 0)*(-1 - 1 + 0) - 5 + 0 + 3 - 2 + 1 - 1)*((-3 + 2 + 2)*(-2*f + 3*f + 0*f) - 9*f - 18 + 18) to h + u*f and give u
{ "pile_set_name": "DM Mathematics" }
0000 Let n = -30817.7 + 32936.77. What is n rounded to the nearest ten? 2120 Let b = 0.0555 + -56.0555. Let f = 199 + -259.6. Let t = b - f. Round t to the nearest integer. 5 Let c = 327315.055 - 329174. Let s = -1852 - c. Let b = s - 7. What is b rounded to 3 dps? -0.055 Let u be (-18)/8*16/6. Let y be u/12 + (-11)/2. Let h be (-7350000)/(-7)*(-40)/y. What is h rounded to the nearest 1000000? 7000000 Let s = 12362.8445 + -12359. Round s to 2 dps. 3.84 Let u = 3999 + -3976.355. Let a = -31.35 - u. Let f = 54 + a. What is f rounded to two dps? 0.01 Let q = 347.77985781 + -347.78. What is q rounded to six dps? -0.000142 Let y = 553 + -7132. Let z = -2429 - y. Suppose 0 = -7*m + 12*m - z. Round m to the nearest 100. 800 Suppose v = -4*s + 2*v + 3098804, 0 = -s + v + 774704. What is s rounded to the nearest ten thousand? 770000 Let t = -17549.803 + 17550. Let c = -0.235 + -0.073. Let j = t + c. What is j rounded to 2 decimal places? -0.11 Let g = 3341 + -3341.00000008432. Round g to 7 decimal places. -0.0000001 Let c = -2.6123 - -0.8853. Round c to the nearest integer. -2 Let i(b) = -b**3 - 5*b + 81. Let t be i(0). Suppose 4*y - 3 = 13. Suppose p + y*z - t = 0, -z + 259 = 4*p + 2*z. Round p to the nearest 10. 60 Let t(w) = 36393*w - 1618. Let y be t(6). What is y rounded to the nearest 10000? 220000 Let l = 35.15 + 844.35. What is l rounded to the nearest 10? 880 Let l = 186.6 - 204. Let h = 11.4 - l. Let p = h + -51. What is p rounded to the nearest 10? -20 Let y = 261 + -263. Let r be (-6675)/6 + -3*y/4. Round r to the nearest 100. -1100 Let w = -0.007239758 - 41.992755792. Let f = -42 - w. Round f to seven decimal places. -0.0000045 Let h = 35.102 - 6.102. Let m = 24.52317 - -4.47686. Let n = h - m. What is n rounded to four decimal places? 0 Let n be (3644/(-36)*-3)/((-1)/9). Let y = n - 537. What is y rounded to the nearest 1000? -3000 Let x = 36120508 - 36091847.3567. Let h = x - 28469.63. Let p = 191 - h. What is p rounded to three dps? -0.013 Let t = -11253506.4419 - -11253338.441898766. Let q = -168 - t. What is q rounded to seven dps? 0.0000012 Let r = 177 + -243. Let f be 29821/r - (-1)/(-18)*3. Round f to the nearest one hundred. -500 Let u = 111 - -1420. Let r = 995014465.9999361 + -995012935. Let d = u - r. Round d to five decimal places. 0.00006 Let c(f) = -4157*f**3 + 69*f**2 - 10*f - 72. Let g be c(36). Round g to the nearest one million. -194000000 Let u = -49 - -49. Suppose -4*t - a - 62538 = 0, u = -a + 2. Let p = -6135 - t. What is p rounded to the nearest 1000? 10000 Let f = -454789.0815583 + 454789. Let c = -0.0815 - f. Round c to 5 dps. 0.00006 Let i = 0.0307075 - 0.136702. Let n = 0.106 + i. Round n to seven dps. 0.0000055 Let r = 0.21952 + -0.06386. What is r rounded to three decimal places? 0.156 Suppose 0 = -4*p + 2*b + 13514, 0 = -3*p + 2*b + 6059 + 4078. Suppose 3*d - p = 1456. Suppose 2*x = 4*t + x - d, 2*x - 1626 = -4*t. Round t to the nearest ten. 400 Let y(r) = 70999*r**2 + 7*r + 30. Let b = -231 - -241. Let p be y(b). What is p rounded to the nearest 1000000? 7000000 Let s(v) = 33*v**2 - 4*v - 12. Let q be s(-3). Let h be 4 - q - (-6)/2. Let w be h/((-15)/28 - 2/(-7)). What is w rounded to the nearest one hundred? 1200 Let y(f) = -f**2 + 18*f - 17. Let h be y(17). Suppose 3*a = -5*a - h*a. Suppose a = 2*g - 28756 - 119244. What is g rounded to the nearest ten thousand? 70000 Let c = 43.69 + -43.68999989119. Round c to 7 dps. 0.0000001 Let c = 44441264.852997012 + -44441264. Let d = c + -0.853. Round d to seven dps. -0.000003 Let x = 1.8598 - 1.8467005. Round x to three decimal places. 0.013 Let l = 0.1060527601 - 0.106036. What is l rounded to 7 dps? 0.0000168 Let p = -0.25 - 139.05. Let q = p + 134. Let f = 5.229 + q. Round f to two dps. -0.07 Let k = -0.1272 - 531.8728. Let l = -531.99999422 - k. Round l to 6 dps. 0.000006 Let k(m) = -46*m**3 - 24*m**2 - 178*m - 7. Let p be k(-9). Round p to the nearest one thousand. 33000 Let s = -45.8 + -5.2. Let i = -52.168 - s. Round i to one decimal place. -1.2 Let q(x) be the first derivative of -164*x**4 + 2*x**3/3 + x**2/2 - 12*x - 25. Let h be q(-4). Suppose -d = -9*d + h. What is d rounded to the nearest 100? 5300 Let m = -560.21031 - -639.711176. Let u = 79.5 - m. What is u rounded to five decimal places? -0.00087 Suppose -5*r = 5*g - 69882500, 39*g = 43*g + 3*r - 55906000. Round g to the nearest one million. 14000000 Let t = 12.31396 + 548.33504. Let u = 12.949 - t. What is u rounded to the nearest 100? -500 Let v = -3073.4 + 3073.4033417. Round v to 3 decimal places. 0.003 Let n = 0.46834141 + -0.46853. Round n to 5 dps. -0.00019 Let k = -823.97 - -823.48401. Let u = -0.484 - k. Round u to 3 dps. 0.002 Let p = 4254 + -4254.892. Let i = -24 - -24.85. Let b = i + p. Round b to 2 decimal places. -0.04 Let o = -13.6 - -12.815. Let n = -673.265 - o. Let x = n - -660. Round x to the nearest integer. -12 Let d be (2/(-4))/((-38)/380) - (10 + 40315). Round d to the nearest 1000. -40000 Let q = 505 - 508.75. Let f = q + 3.7276. Round f to 3 dps. -0.022 Let u = -442 + 441.7558. Let s = -52.4042 - u. Let w = s + 53. What is w rounded to one decimal place? 0.8 Let l(n) = -n**2 + 27*n + 34. Let w be l(31). Let j = w + 128. What is j rounded to the nearest ten? 40 Let g = 33282257.541 + -33281708.54099692. Let t = g - 549. What is t rounded to 6 dps? 0.000003 Let g = -1530 - -1390.8. Let d = -41.8 + g. Let f = -185.76 - d. What is f rounded to the nearest integer? -5 Let c = 16.597 + -16.597011772. Round c to seven decimal places. -0.0000118 Let t = -27 - -93. Let i = 66.000123 - t. Round i to 5 decimal places. 0.00012 Let z = -598492.17697631 - 54.82882369. Let f = z - -598433. Let x = 114 + f. Round x to three decimal places. -0.006 Let n(c) be the third derivative of -39501*c**5/20 - 31*c**4/24 - 5*c**3/3 - 2*c**2 - 2*c. Let f be n(-10). Round f to the nearest 1000000. -12000000 Suppose 9543998 = 4*c - w, 75*w = c + 70*w - 2385990. Round c to the nearest 100000. 2400000 Let m = -2.4778 + -6.357. Let h = m + -0.0352. Round h to 1 decimal place. -8.9 Let p(i) = -345*i + 95. Let t be 1 + -8 + 20/4. Let l be p(t). What is l rounded to the nearest 100? 800 Let r(v) = 44745*v - 29. Let g be r(2). Suppose -24*j + g = 28789. Round j to the nearest 100. 2500 Let v = -265 - 296. Let x = -560.7788 - v. What is x rounded to 2 dps? 0.22 Let z(h) = -132 - 16*h - h**2 - 42*h + 23*h. Let p be z(-21). What is p rounded to the nearest ten? 160 Let v = 860.295 - -233.515. What is v rounded to the nearest one hundred? 1100 Let f = 1501283 + -1501293.27531. Let y = f - -10.28. What is y rounded to 4 dps? 0.0047 Let m = -19453 - -19453.00015739. What is m rounded to 6 decimal places? 0.000157 Let h be 22692*((4 - -549) + -5). Suppose -5*x + h + 7254789 = -5*l, 4*l + 11814004 = 3*x. What is x rounded to the nearest 100000? 3900000 Let t = 3.7817 - 3.934236. What is t rounded to two dps? -0.15 Let n = 129.98125 - -1.40475. Let d = 130 - n. Round d to one decimal place. -1.4 Let x(w) = 4684*w + 9. Let h be x(9). Suppose 9*k = 4*k + h. Let d = k + -4233. Round d to the nearest one thousand. 4000 Let c = -30.73803 + -1.51757. Let u = 32.2 + c. What is u rounded to three decimal places? -0.056 Let k(o) = -190*o + 3. Let y be k(-2). Let x = -51 - y. Round x to the nearest one hundred. -400 Let f = 3.62 - 3.7. Let b = f + -0.0015. Let g = 0.061 + b. Round g to 3 decimal places. -0.021 Let l(w) = -55586*w + 244302*w + 1 + 164429*w. Let r be l(1). Suppose -10*y - r - 626854 = 0. Round y to the nearest 10000. -100000 Let k(t) = 6*t**2 + 11*t + 31. Suppose 4*z = 0, -7*l - 4*z = -3*l + 60. Let i be k(l). Let o be (-3)/(-2)*i/(-4). Round o to the nearest one hundred. -500 Let x(b) = -27*b + 5 + 1 + 2*b**2 - 10. Let p be x(14). Let f be (-2)/5 + 69000004/p. What is f rounded to the nearest 1000000? 7000000 Let h = -1264.0155868560102 + 0.0155821000102. Let k = h - -1264. What is k rounded to six decimal places? -0.000005 Let s(f) = 9*f + 7. Let y be s(-3). Let v(l) = -75*l + 75. Let x be v(y). What is x rounded to the nearest one hundred? 1600 Let g = 3403326 - 3455057.215. Let l = g + 51836. Let k = 105 - l. Round k to one dp. 0.2 Let c = 3.83454 - 3.834. What is c rounded to 3 dps? 0.001 Suppose -4*s + 5*
{ "pile_set_name": "DM Mathematics" }
e 12/d*(-44)/6? True Is 19 a factor of -3 + 2 + -3 + 92? False Let f = 41 + -14. Let v = -15 + f. Is v a multiple of 6? True Let l = -19 + 51. Suppose 2*y = 5*q - 1 - 1, 28 = 5*y + 4*q. Suppose -4*p + l = -y. Is 9 a factor of p? True Suppose -25*a + 77 = -24*a. Does 12 divide a? False Let m = -1 - -4. Suppose -m*q = 16 - 61. Is q a multiple of 9? False Suppose 15*f = 14*f + 163. Does 29 divide f? False Suppose -5*k + 4*s + 538 = 0, 0 = -k - k - 3*s + 229. Suppose 10 + k = 4*c. Is 15 a factor of c? True Suppose -9*l + 144 = -7*l. Does 9 divide l? True Let d = -100 - -225. Let c = -175 - -86. Let g = d + c. Is 18 a factor of g? True Is 13 a factor of 3*(-1)/6*-142? False Suppose 0 = -6*c + 609 - 9. Is 19 a factor of c? False Let l(m) = 4*m**3 + m**2 - 2. Is 5 a factor of l(2)? False Let b(i) = -2*i**3 - i**2. Let k be b(-1). Let t be 65 + 0/(-3*k). Suppose 2*u = 7*u - t. Is u a multiple of 13? True Suppose 6 = 5*u + 26. Is (-56)/20*10/u a multiple of 2? False Suppose -3*x - x + 276 = 0. Is 23 a factor of x? True Let a = 3 - 20. Let h = a + 30. Is 4 a factor of h? False Does 24 divide (-4 + 12)*(6 + 3)? True Let d = -358 + 510. Does 19 divide d? True Does 9 divide ((-3)/(-5))/((-23)/(-2070))? True Suppose 5*j = 75 - 25. Is j a multiple of 10? True Let v(p) = -56*p + 1. Suppose -2*g - 3*c = 17, 4*c + 15 = 4*g - 1. Is v(g) a multiple of 25? False Suppose -4*q - 5*p + 365 = 0, -126 + 406 = 3*q + 5*p. Suppose -y - 4*y = -q. Does 11 divide y? False Does 17 divide (-3)/2*32/48*-395? False Suppose -82 = -d + s + 236, -3*s = 5*d - 1622. Is d a multiple of 23? True Let n(o) = -o**3 + 4*o**2 - 2*o - 3. Let x be n(3). Let q(w) = 6*w**2 + w + 1 + x*w**2 - 2*w**2. Does 4 divide q(-1)? True Suppose -5*i + 954 = 4*p, 2*p - i = p + 234. Is 11 a factor of p? False Let k(u) = -7*u**2 + 2*u**2 + 2*u + 0*u - 1 + 0*u. Let h be k(3). Let o = -28 - h. Does 6 divide o? True Suppose 0 = -3*y + 13 + 8. Let z(u) = 6*u - 2. Is z(y) a multiple of 27? False Let y(u) = u**3 + 8*u**2 - 12*u + 3. Suppose 4*d - 2*d = -4*r - 52, 4*d + 5*r + 92 = 0. Let b = d + 9. Does 9 divide y(b)? False Is 19 a factor of (-2 - -1)*(-304)/4? True Is 7 a factor of (4 + 104/(-8))*76/(-6)? False Let b(h) = -h**3 + 7*h**2 - 4*h - 5. Let n be b(4). Suppose o - 5*o + 69 = r, 2*o - n = r. Is o a multiple of 5? False Suppose 0 = c + 2*c - 51. Does 13 divide c? False Let x be 1/(-2) - 18/12. Does 3 divide 4/6*(-18)/x? True Suppose s = -s + 92. Is s a multiple of 23? True Let f(k) = k**2 - k - 3. Let v be f(0). Let p be (v + 4)/(2/4). Suppose 2*s - 6*i - 74 = -p*i, -2*i - 10 = 0. Is s a multiple of 12? False Let u = -34 + 62. Let q be (-1)/3 + 40/3. Let o = u - q. Does 15 divide o? True Let n be 6/2 + -153 + 1. Let f = n - -209. Is f a multiple of 20? True Suppose -5 = -d + n, 2*d + n - 9 = 4*n. Suppose 2*k + 5 = k + u, -4*k - 3*u - d = 0. Let s = k - -9. Does 4 divide s? False Suppose -y = -5*y + 8. Suppose 5*r - 130 = -y*i, -2*i + 74 + 88 = -3*r. Does 15 divide i? True Let v(q) be the second derivative of q**3/6 + q**2/2 + q. Let t be v(0). Is 7 a factor of -2 + (13/t - -1)? False Let v be -1*(3 - 6) - 2. Let y be (-3)/(-9)*v*9. Suppose -4*o + 15 = 5*t - 3*o, -15 = -5*t - y*o. Is t a multiple of 3? True Let f(v) = 6*v**2 - v + 2. Is f(2) a multiple of 24? True Suppose -c = a + 2*a - 124, -600 = -5*c + 5*a. Is c a multiple of 15? False Let j(w) = -w**2 - 2*w**2 - 12 + 2*w**2 - 9*w. Let m be j(-8). Is 0 - 6*18/m a multiple of 17? False Let h(d) = -d**2 - 5*d + 4. Let g be h(-5). Suppose 0*y - 4*y + 48 = 2*w, -g*w = 0. Is y a multiple of 10? False Suppose 4*i = -2*j + 66, 2*i + 225 = 5*j - 3*i. Is 10 a factor of j? False Suppose -3*m = 5*q - 385, m = 2*m - 4*q - 100. Is 20 a factor of m? True Let y(m) = m**2 - 21*m + 88. Does 8 divide y(21)? True Let m(p) be the second derivative of p**3/3 + 3*p**2/2 - 6*p. Is m(8) a multiple of 19? True Suppose -4*g = -5*x - 0*x - 2, 17 = 4*x + 3*g. Does 6 divide x/(2/(-2)) - -30? False Let m = 7 - 3. Suppose -m*z + 66 = 2. Is z a multiple of 8? True Suppose -3*o + 173 = 53. Is 16 a factor of o? False Let q(r) = r**3 - 9*r**2 + 9. Does 4 divide q(9)? False Is 50 a factor of -1*(-2)/4*2000/10? True Let a(h) = 7*h + 3. Let b be a(-6). Let n = -64 - b. Let z = n - -44. Does 9 divide z? False Suppose i = -i + 4. Is 3 + -2 + 18 + i a multiple of 7? True Let j(p) = -24*p**3 + 2*p**2 + 2*p + 3. Is 29 a factor of j(-2)? False Let f = -54 - -38. Let k be f/12*6/(-2). Suppose k*y = -0*y + 40. Is y a multiple of 10? True Let h(z) = -18*z + 7. Let q be h(5). Let v = -53 - q. Is 10 a factor of v? True Let u(y) = -4*y + 3. Let s(k) = -3*k + 3. Let g(d) = 4*s(d) - 5*u(d). Is g(6) a multiple of 18? False Suppose 420 = 4*p - z, -2*p - z + 59 + 145 = 0. Does 13 divide p? True Suppose 96 = 4*t - 0*t. Suppose 0*y = y - t. Suppose -y = 3*p - 4*p. Is p a multiple of 12? True Suppose 11*j - 13*j + 24 = 0. Does 4 divide j? True Suppose 4*f = 3*z - 4*z + 81, 5*z - 421 = -4*f. Does 11 divide z? False Suppose -29 = -5*g + 4*p, p = -0*g + 2*g - 11. Is 2 a factor of g? False Is 16 - (0 - (0 - 0)) a multiple of 5? False Suppose 28 = 13*x - 63. Is 3 a factor of x? False Suppose 0*x + 51 = -3*x. Is -1*2*(x + 1) a multiple of 8? True Suppose 335 = -5*m - 5*d, 2*d + 0 - 2 = 0. Let c = -48 - m. Is c a multiple of 9? False Let u = -12 + 17. Suppose -u*j + 70 = -0*j. Is 14 a factor of j? True Let k(t) = 3*t**2 - 3 - 2 + 2*t**3 - 3*t**3. Let i be k(4). Let l = i - -41. Does 10 divide l? True Let k(f) = -f**3 + 7*f**2 - 7*f + 6. Let y be k(6). Suppose 0 = l - 5*i - 16, y = 4*l - i - 63 - 58. Is l a multiple of 13? False Let a = -1 + 16. Is 384/15 + 6/a a multiple of 10? False Let d(o) = o**3 - o**2 + 2*o + 133. Is 19 a factor of d(0)? True Let q(h) = -h**2 - h**3 + 6*h**3 - 1 - 4*h - 4*h**3. Is 5 a factor of q(3)? True Let t(o) = 8*o**2 + 3*o + 3. Is 11 a factor of t(4)? True Let v(m) be the second derivative of m**5/20 + m**4/3 - 2*m**3/3 - m**2 + 7*m. Is v(-4) a multiple of 11? False Suppose g = 3*n - 59, n + 0*g - 4*g - 5 = 0. Suppose 4*s + n = 7*s. Is s a multiple of 2? False Suppose -277 = -3*m + 317. Is m a multiple of 10? False Let m be (-14)/77 + (-1036)/(-11). Let z = m + -66. Does 14 divide z? True Let s = 79 - 19. Is s a multiple of 20? True Let q be (-9)/6*-2 - 3. Suppose -10 = -5*o - q. Suppose 4*f - 5*f - 29 = -o*s, 3*s + 5*f - 11 = 0. Is s a multiple of 6? True Let o be (0 + 87/6)*-2. Suppose -3*v - 34 = -v. Let z = v - o. Does 12 divide z? True Let y(z) = -6*z + 3. Is y(-13) a multiple of 12? False Let d be 6/(-4)*20/15. Let x be 3*d/(-6) + 4. Suppose 0 = 3*c - 2*c + 1, x*g = -3*c + 67. Does 9 divide g? False Suppose 9*p - 3*y = 4*p + 418, 4*p + 2*y - 352 = 0. Let k = p + -49. Is 11 a factor of k? False Let y(w) be the third derivative of 7*w**4/24 + 5*w**2. Let i(o) = o + 7. Let u be i(-6). Is 5 a factor of y(u)? False Suppose 0 = b + 8 - 2. Let c(i) = -2*i - 6. Let f be c(b). Let y(s) = s**2 - 3*s - 4. Does 7 divide y(f)? True Let l(x) = -3*x**2 + 4*x + 5. Let u(h) = 10*h**2 - 13*h - 16. Let i(z) = 7*l(z) + 2*u(z). Let j be i(3). Is 2 a factor of j - (0 + 9/(-3))? False Let p(t) = -4*t**3 + 2*t**2 + 2*t + 1. Let b(v) = v**3 + 3*v**2 + 2*v - 1. Let a be b(-2). Let d be p(a). Suppose -120 = m - d*m. Is 15 a factor of m? True Let a be (-16)/(-1) - (2 + -1). Let r = a - 2. Is r a multiple of 4? False Suppose 5*b - 3*x = 407 + 163, 4*x = -b + 91. Does 15 divide b? False Let u = 208 - 103. Let m = u + -55. Is 25 a factor of m? True Is 5 + (3 + 148 - 0) a multiple of 26? True Is (-60)/(8/(-4))*1 a multiple of 21? False Suppose 0 = 2*k + 8, 7*x + 5*k = 3*x - 12. Suppose 0 = -4*a + 3*q + 74, a - x*q = -5*q + 26. Is a a multiple of 10? True Suppose 6 = 3*s - 3. Suppose 56 = -2*h + s*h. Is 28 a factor of h? True Let x = 464 - 734. Is 7 a factor of 2/4 + x/(-12)? False Let k = 251 + -171. Is k a multiple of 16? True Suppose -11 = n - 5*d - 0*d, 2*d - 2 = 0. Let z be (1 + -4)/((-3)/n). Is 2 a factor of -6*1/z*4? True Let r(z) = 2*z**2 + 7*z + 4. Let o be r(-4). Let v(s) = s**2 + 2*s - 3. Let a be v(-5). Suppose 4*n - 5*u = 105, -o = -2*n - 4*u + a. Does 10 divide n? True Suppose z = -3*z - 12. Is 15 a factor of 3/(-9) - 91/z? True Let o(h) = 35*h. Let f be o(5). Suppose -590 + f = -5*w. Suppose -236 =
{ "pile_set_name": "DM Mathematics" }
7 Let d = 125271/59465 + 13/1699. Calculate the common denominator of d and 69/56. 280 Suppose 15*x + 1670 - 4775 = 0. What is the smallest common multiple of x and 15? 1035 Calculate the smallest common multiple of ((-63)/5)/(19 + 3474/(-180)) and 126. 126 Let w = 5479/354 - -21/59. Find the common denominator of (-70)/175 + 362/(-20) and w. 6 What is the lowest common multiple of 48 and (10/(-25))/((-1)/150)? 240 Let p be (-4)/18 + 6184/27666. Let o = 130649/3074 - p. Find the common denominator of o and 44/9. 18 Let u = 37 + -31. Suppose 2*k - 6*k + 44 = 0. What is the least common multiple of k and u? 66 Let u = 21 - 254. Let t = 397 + u. Find the common denominator of -43/14 and 11*(t/(-40) + 4). 70 Let g = 314131/8160700 + -2570511849480681/42851835700. Let b = 59986 + g. Let c = 362299/52510 + b. Find the common denominator of c and 55/18. 90 Calculate the common denominator of 9 + (1996/(-180) - -2) and -41/15. 45 Let r(j) = 13*j + 112. What is the lowest common multiple of r(-7) and 57? 399 Let t(b) = 38*b - 117. What is the smallest common multiple of t(4) and 42? 210 Let r = -10616923/54 - -196601. Let b = r - -1/54. Calculate the common denominator of b and 49/11. 33 Calculate the common denominator of 2/(-5)*-4*34/192 and -1/36. 180 Find the common denominator of 2/(-4) - (-9593)/17066 and -8/77. 1771 Let z(h) = -h**3 + 8*h**2 + h - 6. Let x be z(8). Let b(y) = y**3 - y**2 + 2*y - 5. What is the lowest common multiple of 96 and b(x)? 96 Let v = 58997/6 + -9809. Calculate the common denominator of (6/(-4))/(22/(-8)) and v. 66 Suppose -2*w - 40 = -f + 43, -5*w - 10 = 0. Calculate the least common multiple of f and 1. 79 Find the common denominator of (-2 - (-8665)/4560) + 6/18 and 85/342. 2736 Let r = -32575/84 - -2728/7. Find the common denominator of r and -17/195. 780 Calculate the common denominator of 101/70 and (-8)/(-18) - 9192/3024. 210 Suppose 2*o - 4*i = 110, -130 = -13*o + 11*o - i. What is the least common multiple of o and 252? 252 Let j be (3/(-9))/((-4)/204). Let z = 4 + j. Calculate the least common multiple of z and 6. 42 Calculate the smallest common multiple of 6 and (-4)/4*(-15)/1. 30 Let y(o) = -506413*o**2. Let p be y(1). Let b = p - -3053731/6. Let d = 2567 - b. Calculate the common denominator of d and -55/6. 6 What is the least common multiple of 60 and (-240)/16*(-3 + 7/3)? 60 Suppose -18*g - 17 = -125. What is the smallest common multiple of 39 and g? 78 Calculate the common denominator of ((-27)/108)/((-3)/(-105)) and -33/2. 4 Suppose -4*l - 174 = 3*a, -2*l - 50 = a + 2*l. Let g = -111 - a. What is the common denominator of (g + -4)*(-2)/26 and -7/5? 65 Calculate the common denominator of (426/36 - 3)*(-6)/(-16) and -35/122. 976 What is the smallest common multiple of (-69)/(-9) + -9 - (-679)/3 and 55? 2475 Find the common denominator of -53/3 and (30/9)/((-2)/112*-8). 3 Find the common denominator of -36/13 and (-48)/13 + (-7 + 4)*-1. 13 Suppose 0 = 5*j + o + o + 36, -4*j + 3*o - 38 = 0. Let u = j + 15. Let h(m) = -m**2 + 10*m - 5. What is the common denominator of -38/9 and h(u)? 9 Suppose -2*w = 5*g - 16, -g + 3*g - 19 = -5*w. Find the common denominator of w - 5 - 109/(-22) and (-9)/(-6) + (-130)/24. 132 Let x be (-6)/18*24/(-2). Suppose -5*v = x*y - y - 47, 0 = 2*y + 4*v - 32. Calculate the smallest common multiple of 8 and y. 56 Suppose -42*u = -48*u + 2424. What is the least common multiple of u and 10? 2020 Suppose -3*g = -4*o + 4 + 2, 0 = -4*g + 3*o - 1. Suppose -g = h - 10. Let r = -11 + 15. Calculate the smallest common multiple of r and h. 8 Suppose 65 + 43 = 2*i. What is the lowest common multiple of 20 and (-80)/(-6) - i/(-81)? 140 Let m = -389/22 - -93160/5269. Let j = 6715/8622 + m. What is the common denominator of 71/3 and j? 9 Suppose -2*z = z + 249. Let h = -58 - z. Let g = -23 + h. Calculate the smallest common multiple of 4 and g. 4 Let g(a) = -4*a**3 - 24*a**2 - 3*a - 15. What is the lowest common multiple of 54 and g(-6)? 54 Calculate the common denominator of 836/24 - (-8)/12 and 48/23. 46 Let z be 2/4 + 21/(-6). Let d be 3/2*(-244)/z. Calculate the common denominator of 2/(28/d) + -2 and 5/4. 28 What is the common denominator of -59/14 and ((-10675)/476)/(-5) - 3? 476 Suppose 10 = 4*z + 2. Let f = -6393/10 + 640. Find the common denominator of 297/60 - (z - 1) and f. 20 Calculate the lowest common multiple of (6 + -10)/(2/(-10)) and 244. 1220 Let k = -51131/24 - -2143. Let x = 243/8 - k. Find the common denominator of x and 65/4. 12 Let b be 36/(-45) - 9601/(-20). Let c = 473 - b. Calculate the common denominator of c and 16/21. 84 Let t = 489 - 10657/22. What is the common denominator of (-48)/(-80) + (-806)/160 and t? 176 Let w be (-3)/(-8) + 1734/(-16). What is the common denominator of 21/4*(-78)/w and 91/18? 72 Suppose 9 = 3*n - 9. Suppose -3*b = -n*x + 2*x - 8, 2*b - 36 = -5*x. Suppose a - b = 8. Calculate the smallest common multiple of 14 and a. 112 Find the common denominator of 24426/(-24840) - (-1 + 2/4) and 97/24. 120 Let w be (-38)/((0 + -6)/3). Let s = w + -14. What is the least common multiple of 7 and s? 35 Let q = 875 - 699. Calculate the lowest common multiple of q and 80. 880 Suppose 50*q = 45*q + 40. Calculate the lowest common multiple of q and 42. 168 Let d be 2 - (-2 + 121285 + -1). Let g = -725539/6 - d. Let u = 353 - g. Find the common denominator of 53/14 and u. 42 Let t be 1/(-2)*(-28)/(-171703). Let k = -138471992384254697/196232 - -705654492550. Let y = t - k. What is the common denominator of -28/5 and y? 40 What is the common denominator of 181/120 and (-10 - (-8469)/756)/(3 - 2)? 840 Let q(z) = -2*z - 2. Let a be q(2). Let k be (-1)/(-3) - (-8)/a. Calculate the least common multiple of -6 + 20 - (k - -1) and 8. 56 Let l be ((-15)/(-210))/(26550/(-13276) - -2). Let c = l + -476. Calculate the common denominator of (-4)/5*(-21)/(-8) and c. 70 Let b be 100/(-8)*2/(-5). Suppose -3*x + 2*x + 15 = 3*h, x + b*h - 21 = 0. What is the lowest common multiple of x and 30? 30 Suppose -2*l + 2174 = -1630. Suppose -5*r - 1188 = l. Calculate the common denominator of 17/18 and (-1)/6*r/22. 198 Let u be (4/(-10))/((-9)/(-216765)). Let p be -4 + 540116/56 + 1. Let z = u + p. Find the common denominator of 1/4 and z. 28 Let x(k) = 3*k**2 + 20*k + 61. Calculate the least common multiple of 132 and x(-5). 396 Let p be 1388/32*-2*-4. Suppose 2275 - p = -4*q. Calculate the common denominator of q/21 - (-10)/35 and 64/9. 9 Suppose -32*k + 1236 = -76. Find the common denominator of 1/854 and k. 854 Let w = 2005/6 + -80153/240. Find the common denominator of w and 13/60. 240 Let c = 1289/720 - 44/45. Suppose s + 5*i = -29, -4*i + 9*i = -5*s - 45. Find the common denominator of (s/(-80)*292)/((-32)/(-10)) and c. 16 Suppose 0 = 6*t - 78 - 54. Let q = -6 + 34. What is the smallest common multiple of t and q? 308 Suppose 5*a + 7*i - 750 = 2*i, 2*a + 3*i = 300. Calculate the lowest common multiple of a and 2. 150 Let q(f) = -12*f**2 + 0*f**2 - 13 + 8*f**2 - f**3 - 9*f**2 + 12*f - 3. Let h be (1/(-2))/((-1)/(-28)). What is the lowest common multiple of 6 and q(h)? 12 Let d be (-12)/(-16)*16/(-1). Let o be (d/(-10))/(3/20). Suppose -o = y - 3*a, 3*y - 4*a - 1 = -10. Calculate the lowest common multiple of y and 9. 9 Let m(b) = 4*b + 128. Calculate the smallest common multiple of m(-25) and 64. 448 Let h = 187351/12 + -15602. Let c = 12205875729287353/76650 - 159241692495. Let b = c + -2/5475. What is the common denominator of h and b? 84 Let f = -6101/1416 + 60/59. Let u be 12/(-32) + (-21)/8. What is the common denominator of f and ((-6)/(-4))/((-130)/(-377)) + u? 120 Let g(s) = -3803*s + 5. Let h be g(-1). Let v = 38047/10 - h. Calculate the common denominator of -101/16 and v. 80 Find the common denominator of 5/18 and ((-166)/(-19173))/(4/87). 1386 Calculate the common denominator of 26/6 + -1 + 1 and (267/(-9))/(9/(63/28)). 12 Let m = 2/124255 - -10064567/5467220. Calculate the common denominator of m and 73/44. 44 Let j = 62 + -55. Suppose -5*g - 52 = -j*t + 3*t, 0 = 3*t + 4*g - 8. What is the least common multiple of t and 11? 88 Suppose y - 18862 = -y. Let l = 301835/32 - y. Find the common denominator of -37/16 and l. 32 Suppose -4*t + 3 = 19, 20 = 4*q - 3*t. Let n(
{ "pile_set_name": "DM Mathematics" }
*s - 2*s in the form c*s + f and give c. 2 Express 10*f**4 + 63*f**4 + f + 7*f - 64*f**4 - 1 + 3*f**3 as x*f**3 + d*f**2 + y + j*f + w*f**4 and give j. 8 Express -w**3 + w**2 - w**2 + (-2*w**2 + 2*w - 2*w)*(1 - 1 + 2*w) - 9*w**3 - w**3 + 2*w**3 + 48 - 44*w**3 - 48 as l*w**3 + r + v*w**2 + q*w and give l. -57 Express 0*w**3 + 2 - 100*w + 2*w**3 + 1 + 106*w - 2*w**4 - 5*w**2 in the form v*w**4 + z*w + k*w**3 + q + r*w**2 and give q. 3 Rearrange 1 - 231*j - 3 + 2 - 368*j to n*j + p and give n. -599 Express (4*q + 3*q + 4*q)*(8 - 5 - 5) + 0 - 2*q + 0 in the form w + o*q and give o. -24 Rearrange -9814*o**4 - 1 + 0 + o**3 + 7*o + 2*o**2 + 9805*o**4 to the form v + s*o**3 + y*o**4 + w*o + j*o**2 and give v. -1 Rearrange -31*j**3 + 3*j**3 - 1317*j**2 + 27*j**3 to the form b*j + w + s*j**3 + h*j**2 and give s. -1 Express 2*j**3 - 2*j**4 - 2*j**2 + 2 + 11*j**3 - 2*j**2 - 5*j**3 + 5*j**3 as n*j**3 + l + c*j**4 + o*j**2 + z*j and give n. 13 Rearrange u + 15*u**4 - 1 - 5*u + 0*u + 390*u**3 - u**2 - 392*u**3 to a*u**4 + v*u + m + p*u**3 + q*u**2 and give v. -4 Express -23*a + 8*a - 26*a - 4 + 29*a - 38*a in the form m*a + f and give m. -50 Express (3 + 3 - 5)*(-3*w**4 + w**4 + 0*w**4) - w**4 + 11*w - 4 - 2 - 9*w as n*w**4 + u + o*w**3 + i*w**2 + p*w and give u. -6 Express -7*o + o**4 + 3 - 96*o**2 + 97*o**2 + 27*o in the form t*o**4 + n*o**2 + u + j*o + d*o**3 and give u. 3 Express 4452*g**2 - 2198*g**2 - 2222*g**2 as w*g + x + l*g**2 and give l. 32 Express 5*q - 30*q + 14*q - 31 + 5*q + 9*q + 2*q**2 in the form g*q**2 + f*q + k and give k. -31 Rearrange (7 + 8 - 6)*(37 + 9*w + 37 - 77) to m + h*w and give m. -27 Rearrange -2*h + 3*h - 29 - 4*h + 30 to j*h + o and give j. -3 Rearrange 2*x - 588*x**2 + 296*x**2 + 40*x**3 - 1 + 290*x**2 to the form s*x**2 + a*x**3 + d + t*x and give a. 40 Express -48*u**2 - 1 - 11*u**3 - 40*u**2 - 17*u**3 + 26*u**3 as p*u**3 + n + j*u**2 + a*u and give j. -88 Rearrange -3*z**3 + 8*z**2 - 5 + 5*z**3 + 15*z**2 - 37*z**2 + 13*z**2 - z to the form l*z**2 + d + a*z + b*z**3 and give d. -5 Rearrange 790*i - 262*i**2 - 790*i to the form c + w*i + q*i**2 and give q. -262 Express -p**2 + 39*p - 110*p + 1 + 24*p as y*p + c + j*p**2 and give j. -1 Rearrange 14*b - 2*b**3 - 60*b**2 + 2*b - 14*b - 3*b to i*b + h + u*b**3 + s*b**2 and give s. -60 Rearrange 67 + 3*u**3 + 69 + u**4 - 132 - 4*u to n*u**2 + g*u**4 + f*u + m + w*u**3 and give m. 4 Rearrange -2899 + 41*d + 219*d + 2899 to the form m*d + f and give m. 260 Express 6*w - 3*w - 4*w + (5*w + w - 4*w)*(2 + 1 - 2) + 2*w - w + 0*w - 5 - 2*w + 5 - 27 + 45 + 33*w - 19 in the form m*w + a and give m. 33 Express 35*s**3 - 18 - 316*s**4 + 306*s**4 - 13 + 33 in the form y*s + f*s**2 + m*s**4 + d + a*s**3 and give m. -10 Express -1 + 2*l - 3*l + 0*l + (0 - 3 + 4)*(0 + 0 + l) + (-3 - 1 - 2)*(3*l - l - l) in the form q*l + b and give q. -6 Express -11*p**2 + 5*p**4 + 7*p**2 - 7*p + p**3 - 3*p**3 + 3*p**4 as m*p**4 + d*p**3 + n*p + j*p**2 + b and give d. -2 Express (48 + 0*h**2 - 56 - h**2)*(-3*h + 4*h - 6*h) - 6*h**3 - 10*h**3 + 6*h**3 as y*h**2 + l*h**3 + i + c*h and give c. 40 Rearrange -82*b**4 + 3367*b - 3367*b + (-3*b - 4*b - b)*(-4 + 3 + 0)*(2*b**3 + 2*b**3 - 6*b**3) to the form n*b**4 + j*b**2 + m*b**3 + r + g*b and give g. 0 Rearrange (0 + 5 - 1)*(-1 + 4 - 1)*(-3*p - p + 16*p) to the form g*p + h and give g. 96 Rearrange -333*r**2 - 436*r**2 + 3 - 16 + 13 to the form x + z*r**2 + s*r and give z. -769 Express -564 + 151 - 212*m + 213*m in the form c*m + f and give f. -413 Rearrange (-2 + c + 2)*(-2 + 1 - 5)*(-94 - 7*c + 94) to the form r*c + g*c**2 + s and give r. 0 Rearrange (-34*h**2 + 29*h**2 + 92*h**2)*(1 - 4 + 5) to i + z*h**2 + p*h and give z. 174 Rearrange -13 + 5 - 72*c + 7 to the form v + z*c and give z. -72 Rearrange (5*h + 0*h - 2*h)*(-501*h + 1271*h - 242*h + 1169*h) to v + z*h**2 + d*h and give z. 5091 Express (-71*s - 145 + 145)*(-13 + 1 - 11) as u*s + v and give u. 1633 Express -2 - 25*g**3 + g + g - 9*g**3 + 183*g**3 as u*g**3 + i + l*g + c*g**2 and give i. -2 Express 2*f**3 + 0*f**3 + 484*f**2 + f - 490*f**2 as i + x*f + y*f**2 + q*f**3 and give x. 1 Rearrange -300*z**2 + 62*z**3 + 158*z**2 - 2*z**4 + 146*z**2 - 1 to the form f*z**4 + q*z**3 + v + a*z**2 + b*z and give f. -2 Express (0*r + 0*r - 4*r)*(-3*r**2 - 3*r**2 + r**2) + (-14*r + r**2 + r**2 + 9*r)*(2*r - r - 3*r) as y*r + f + l*r**2 + m*r**3 and give m. 16 Express 6*z**3 - z - 3*z**4 + 1 - 7*z**3 + 3*z**2 + 0*z**2 - 2*z**2 + z**4 in the form c + x*z**2 + v*z + m*z**3 + l*z**4 and give x. 1 Rearrange (-86*h**3 + 40*h**3 + 60*h**3)*(-61 + 6*h + 61) to j*h**4 + v + r*h**2 + q*h + f*h**3 and give j. 84 Express (-10 + 7 - 5)*(419*r - 419*r + 3*r**3) + (2*r**2 + 1 - 1)*(r - 2 + 2) as m*r + p*r**3 + k + a*r**2 and give p. -22 Express (-4 + 3 + 2)*(2*h - 4*h + h) - 79*h + 76*h - 244 + 25 in the form y + w*h and give y. -219 Express (340 + 255 - 189)*(0*b**4 + 5*b**4 - 2*b**4) in the form i*b**4 + p*b + x*b**3 + h*b**2 + w and give w. 0 Express -159327*d - 2*d**2 + 159327*d + 743*d**2 in the form s*d**2 + c + n*d and give s. 741 Rearrange 257*c + 3444*c**2 - 1718*c**2 - 1724*c**2 to the form p + u*c**2 + j*c and give u. 2 Rearrange (-1 + 2 + 1)*(-k + 2*k - 2*k)*((-2 + 0 + 4)*(2 - 8 + 0) - 1 - 1 - 3) to n*k + q and give n. 34 Rearrange (-155*u**2 + 174*u**2 + 491*u**2)*(5 - 3 - 3) to the form i*u + g*u**2 + j and give g. -510 Rearrange (4 - 1 - 2)*(2*w + 0*w + 0*w) + (w + 11*w - 2*w)*(18 - 89 - 8) + (3 - 2 + 1)*(0*w - 2*w + w) to b*w + l and give b. -790 Rearrange (-2*k + 4*k + 12 - 3)*(4 - 3 + 1) - k + 4*k - k + k + 4*k - 3*k + (-3*k - k + 5*k)*(-2 + 2 + 2) - 2*k + 2*k + 2*k to a + n*k and give n. 12 Express 2*r - 35*r**3 + 2*r**2 + 34*r**3 + 4*r**2 as d*r**2 + a*r + m + i*r**3 and give d. 6 Rearrange 4*x**2 + x**4 - 4*x**2 + (2*x**3 - 4 + 4)*(2*x + 2 - 2 + (-2*x + 0*x - x)*(-2 - 2 + 8)) to the form j*x**3 + g*x + z + s*x**2 + t*x**4 and give t. -19 Express 5*i - 2*i**3 + 4*i**3 - 11*i - 77 + i + 96 in the form t*i**2 + h*i + o*i**3 + s and give h. -5 Express -8*h + 12*h**2 - 4*h**2 + 3*h**2 + 2*h**2 + 2 in the form d + g*h + r*h**2 and give r. 13 Rearrange 160 + 0*j**3 + 0*j**3 - 266 - j**3 - 5*j**3 to the form b + u*j**3 + r*j**2 + w*j and give u. -6 Rearrange 30*t + 1280*t + 479*t + 2*t - 3*t + 2*t + (-1 - 4 + 3)*(0 + 0 - t) + 6*t - 2*t - 3*t to l + x*t and give x. 1793 Rearrange (-46*w - 8 + 43*w - 2)*(0*w + w + 0*w) to the form k + b*w + g*w**2 and give b. -10 Express 4734 - 4734 + 334*k as o + u*k and give u. 334 Express (5*r - 3*r - 3*r)*(0*r**2 - 4*r**2 + r**2) + ((-2 + 2 + r)*(-3 + 3 + r) - 2*r**2 - 2*r + 2*r)*(10 - 10 + 5*r) as b + i*r**2 + g*r**3 + z*r and give g. -2 Express -32195 - 1066*r + 32195 + 0*r + r + 0*r + (3*r - r - 4*r)*(3 + 0 - 4) - 3*r + 2*r + 0*r in the form a*r + n and give a. -1064 Rearrange -3*y**2 - 10*y**2 - 5*y**2 + 2*y**2 - y**2 - 2*y**2 + (-3*y + 2*y + 0*y)*(0 + 0 - 2*y) - 80*y + 80*y + 15*y**2 to q + g*y**2 + p*y and give g. -2 Rearrange 0*z**3 - 3*z + 43884*z**2 - 43881*z**2 + 2*z**3 + 6 + (-2*z + 2*z + z)*(1 - 1 + 2*z**2) to q*z + o + t*z**3 + b*z**2 and give b. 3 Express (1 - 3 + 3)*(739*w - 421*w + 630*w) as z*w + p and give z. 948 Rearrange 14*f + 114*f + 80*f + 19*f to the form g + o*f and give o. 227 Express -51*j - 1658 + 1658 - 21*j + 5*j in the form w + x*j and give x. -67 Rearrange (1 + 3 + 10)*(3 + 0 - 4)*(-5*n**2 - 5*n**2 + 6*n**2) to u*n**2 + q + y*n and give u. 56 Rearrange (9*r - 2*r - 2*r)*(-16*r**2 + 39*r**2 - 5 - 21*r**2 - 15*r**2) to the form a*r**2 + d*r + k*r**3 + i and give d. -25 Express -2*u - 29*u**3 + 0*u - 5 + 4 + 123*u**3 in the form m*u**3 + l*u + f + s*u**2 and give s. 0 Rearrange z**4 + 5339*z + 4*z**3 - 3 - 6*z**3 - 5342*z to r + y*z**3 + p*z**2 + x*z + k*z**4 and give y. -2 Express (-4 - 2*r + 4)*(338 + 311 + 29 + 520) in the form g*r + z and give g. -2396 Rearrange 5*o**2 - 16*o**2 + 5*o**2 + (3*o + o - 2*o)*(0*o - o - o) + 2*o**2 - 4*o**2 + 4*o**2 + 5*o**2 + o**2 - 3*o**2 to the form n*o**2 + f*o + m and give n. -5 Rearrange (28*m - 28*m + 11*m**4)*(5 + 0 - 3)*(3 - 5 - 4) to y*m**4 + r*m + p*m**3 + g*m**2 + d and give y. -132 Rearrange -4*v - 201*v - 137*v + 34*v to the form h + y*v and give y. -308 Express (2 + 5 - 4)*(-m**4 + 4*m**4 - 5*m**4) +
{ "pile_set_name": "DM Mathematics" }
i(t) = -6*t + 7. Let u = 3 + -8. What are the prime factors of i(u)? 37 Let s(p) = 2*p**2 + 4*p. Let c = -1 - 3. List the prime factors of s(c). 2 Suppose 0 = -4*a + 2*a + 66. What are the prime factors of a? 3, 11 Let z(j) = -j**3 + 2*j**2 + 3*j - 4. Let w be z(3). Let r(k) = k**2 + 3*k + 3. What are the prime factors of r(w)? 7 Suppose -4*j + z = -3*z - 104, -2*j + z = -49. List the prime factors of j. 23 Let q = -6 + 8. Suppose 19 = q*m + 3*i, 5*i - 3 = 4*i. List the prime factors of m. 5 Let d be (33 - 11) + 1*2. Suppose -x - 6 = -d. List the prime factors of x. 2, 3 Let c = 121 - 59. List the prime factors of c. 2, 31 Let v = -7 + 10. Suppose -2*f = 2*o + 3*o - v, -4*f + 18 = -2*o. Suppose 24 - f = 5*l. What are the prime factors of l? 2 List the prime factors of (-732)/(1 - 4) + (5 - 3). 2, 3, 41 Let z(g) = g**2 + 11*g + 3. Let w be z(-11). Suppose 9 = 2*d + 5*s, 3*s + w = -0*s. List the prime factors of d. 7 List the prime factors of 1/3 - (-1 + (-591)/9). 67 Suppose 0 = 3*n - 15 - 138. What are the prime factors of n? 3, 17 Let k(a) = 8*a - 5. Let s be k(8). Suppose 3*q - 76 = s. List the prime factors of q. 3, 5 Let v = -6 - -18. Let a be (18/v)/((-1)/2). Let d = a - -7. What are the prime factors of d? 2 Let r = -4 - 0. Let a be (2/4)/((-1)/r). What are the prime factors of (a/4)/(1/24)? 2, 3 Suppose -3*o = -4*o + 14. List the prime factors of o. 2, 7 Suppose -5*p + 10 = 0, -3*p - 222 = -5*j + 942. List the prime factors of j. 2, 3, 13 Suppose 0 = 14*p - 8*p - 1074. What are the prime factors of p? 179 List the prime factors of ((-10)/25)/(2/(-160)). 2 Suppose -2*t = 5*u - 0*t - 14, -3*t - 4 = -5*u. Suppose 4*b + u*n - 74 = 0, -2 = 2*n + 4. What are the prime factors of b? 2, 5 Suppose -80 = -2*v - 5*y, 3*v - 4*y - 27 = 2*v. What are the prime factors of v? 5, 7 Suppose 5*w - 5 = 10. Let v(k) = k**3 + 3 - 5*k + 5*k**2 - 5*k**2. List the prime factors of v(w). 3, 5 Let r(x) = 0*x - 6*x - 2*x + 2*x**2 - 3*x**2 + 9. Let z be r(-9). Let s = 9 - z. List the prime factors of s. 3 Suppose 0 = 11*r - 913 - 1166. What are the prime factors of r? 3, 7 Let u be 3/4*24/1. Suppose 0*a = -2*a + o, -3*o = 3*a - u. Suppose -a*d + d + 12 = 0. List the prime factors of d. 2, 3 Suppose -3*r = 0, 3*f - 4*f + 3 = -2*r. Suppose 0 = -5*m + 13 - f. List the prime factors of m. 2 Suppose 5*g - 236 = g. List the prime factors of g. 59 Let f = 2 - 0. Suppose -f*h = -2*p + 5*p + 3, 15 = -3*h - p. Let w = h - -8. What are the prime factors of w? 2 Let d be 15 - (1 + 1 + -2). Suppose 0 = -5*g + d. Suppose 18 = -g*r + 54. List the prime factors of r. 2, 3 Let w = 5 - 3. Suppose n - w = -0*n. Let m(l) = 4*l. List the prime factors of m(n). 2 Suppose -4*f - 501 = -5*g, 0 = -0*g + 2*g + f - 190. What are the prime factors of g? 97 List the prime factors of (-96)/4*(-6)/9. 2 Suppose 103 + 25 = 4*i. What are the prime factors of i? 2 Let l(f) = -f**3 + 5*f**2 - 2*f - 3. Let m be l(4). Let u = 5 + m. What are the prime factors of u? 2, 5 What are the prime factors of (-80)/(-44) + (-2)/(-11)? 2 Let p = 0 + 4. Suppose -3*t = -p*t + 14. List the prime factors of t. 2, 7 Suppose 0 = -2*i + 4*o - 8, 4*i - 20 = -2*o + o. Suppose -3*h + 5 = n - i, 0 = 3*n - 4*h + 12. List the prime factors of (n + -1)*(-9)/1. 3 Let t(b) = 70*b**2 + 1. Let v be t(-1). Suppose 0 = -2*l + 11 - v. What are the prime factors of 8/(-6)*l/4? 2, 5 Let w be (1 - 4)/((-3)/2). Let b(s) = -s**3 + 5*s**2 + 7. Let h be b(5). Suppose -w*k - h = -2*u - k, 25 = 5*u - 5*k. What are the prime factors of u? 2 Let g(j) = -3*j**2 + 4*j + 2. Let u be g(2). Let s = 11 + u. What are the prime factors of s? 3 Suppose 3*b = -12, -2*b - 2*b = -5*w + 51. Let f = -8 + 8. Suppose f = -w*o + 3*o + 28. What are the prime factors of o? 7 Suppose 199 + 1 = 4*c. List the prime factors of c. 2, 5 Let k = 3 - 6. Let d(w) = -w**2 - w - 2. Let h be d(k). Let u = 11 + h. List the prime factors of u. 3 Suppose 4*a + 1 - 13 = 0. What are the prime factors of -1 + (a + 33 - 1)? 2, 17 Suppose -1555 = -10*d + 665. What are the prime factors of d? 2, 3, 37 Suppose 4 = -11*m + 13*m. Let i(r) = 6*r**3 - 2*r**2 - 3*r + 2. What are the prime factors of i(m)? 2, 3 Suppose 0 = 3*j - 151 + 40. List the prime factors of j. 37 Suppose -k = -0*k - 6. Suppose k*n - 3*n - 81 = 0. List the prime factors of n. 3 Suppose -3*a + 4*h = -50 - 31, -a = -2*h - 25. Suppose -z - 4*c - 1 = -a, -5*z = -2*c - 40. What are the prime factors of z? 2, 5 Let d = -25 - -50. What are the prime factors of d? 5 Let i = 4 + -8. Let s be 6/4*(-8)/6. Let u = s - i. What are the prime factors of u? 2 What are the prime factors of 4 + -46*(-2)/4? 3 Suppose 5*v + 174 = 1054. What are the prime factors of 6/15 - v/(-10)? 2, 3 Suppose 2*i - 48 = -a - i, -256 = -5*a + i. List the prime factors of a. 3, 17 Let u(k) = -k**3 + 10*k**2 - 9*k + 10. Let j(t) = t**2 + 3*t - 1. Let v be j(4). Suppose w - v = -2*w. List the prime factors of u(w). 2, 5 Suppose -4*x - 3*b = -9, 4*x + 9 = 4*b - b. Suppose x = -j - 7 + 35. List the prime factors of j. 2, 7 Suppose 9 = 3*z - 6. Suppose 5*g + 2*k - 7*k = 45, 0 = -3*g - 2*k + 7. Suppose z*f = -g, f - 6 = -2*s + 1. What are the prime factors of s? 2 Let y = 306 + -183. What are the prime factors of y? 3, 41 Let f(t) = -8*t - 4 + 0 - 19*t + 5*t. Let k be f(-4). Suppose 5*y - o = k, y - 4*o - 6 = 7. What are the prime factors of y? 17 Let r(f) be the third derivative of -f**4/24 + 4*f**3/3 + f**2. What are the prime factors of r(0)? 2 Let n be (-3)/9 - (-70)/3. Let w = -6 + n. What are the prime factors of w? 17 Suppose d = 4*d - 9. Suppose -d*v = v - 52. List the prime factors of v. 13 What are the prime factors of 2*(2 + (-3)/(-2))? 7 Suppose -2*a = o - 3*a - 33, 2*a = 10. List the prime factors of o. 2, 19 Let o = 3 + -5. Suppose 0*f + 2*f = 10. Let a = f + o. List the prime factors of a. 3 Let w be 22/(-18) - (-8)/36. Let x = 2 + w. Let l = x + 10. List the prime factors of l. 11 Let v(o) be the first derivative of -o**2 - 5*o - 1. What are the prime factors of v(-4)? 3 Let b = 8 - -34. Suppose 0*h + 3*h + 23 = x, 0 = -2*x + 5*h + b. What are the prime factors of x? 11 Suppose x = -10 + 25. Let y = 18 - x. List the prime factors of y. 3 Let i be (-3 - -2)/(2/(-6)). Suppose -2*l + 77 - 18 = 5*p, 16 = 2*p - i*l. List the prime factors of p. 11 Let q = -151 - -264. What are the prime factors of q? 113 Let m(h) = -h**3 - 4*h**2 + 1. Let s be m(-6). Suppose -4*d - 15 = -4*p + s, 5*p + d = 104. What are the prime factors of p? 3, 7 Suppose 14 - 6 = 4*c. List the prime factors of c. 2 Suppose 5*b - 287 = 73. What are the prime factors of b? 2, 3 Let c(t) = 60*t**3 - t + 1. Let x be c(1). Let y = -34 + x. List the prime factors of y. 2, 13 Suppose 0 = 3*c - 0*c - 33. What are the prime factors of c? 11 Suppose -5*f - 83 = -513. What are the prime factors of f? 2, 43 Let h be (-48)/9*18/4. List the prime factors of (9/(-12))/(1/h). 2, 3 Suppose 0 = 2*j + j - 27. List the prime factors of j. 3 Let m = -120 + 193. List the prime factors of m. 73 Let t = 24 + 13. What are the prime factors of t? 37 Let j(b) = 7*b**2. Suppose -z - 4*z - 5 = 0. List the prime factors of j(z). 7 Let s = -287 - -512. Suppose 2*w + 48 = -5*j + s, -2*w + 72 = 2*j. What are the prime factors of j? 5, 7 Suppose 18 = 5*v + 2*b - 52, 0 = -3*b - 15. Let h = v + -9. List the prime factors of h. 7 Let y = 798 - 444. List the prime factors of y. 2, 3, 59 Let d = 0 - 4. What are the prime factors of (-2)/d + 27/6? 5 Suppose 0 = 5*o - 161 + 11. What are the prime factors of o? 2, 3, 5 Let b(m) = -2*m**2 + 3*m + 1 + 6*m**2 + 0*m**2. List the prime factors of b(-3). 2, 7 Let m = 10 + -8. Suppose m*l - 110 = -3*l. What are the prime factors of l? 2, 11 Let l = 8 + -7. What are the prime factors of l/(-2) - (-123)/6? 2, 5 Suppose 3*a - 66 - 39 = 0. List the prime factors of a. 5, 7 Let a(d) = d**3 - 10*d**2 + 10*d + 7. Let o be a(9). Let b = o + -25. Let m(n) = -n - 5. What are the prime factors of m(b)? 2 Suppose -v + m + 151 = 3*v, 3*v - 4*m - 123 = 0. List the prime factors of v. 37 Let g(c) = 6*c - 1. Let z be g(-1). Let o = z + 11. What are the prime factors of o? 2 Let n be 12*(0 + 1/3). Suppose -3*d + n*d = 9. What are the prime factors of d? 3 Let j = 4 + 0. Let t be (-2094)/(-2
{ "pile_set_name": "DM Mathematics" }
-12)*2)/1. -3 What is ((-6)/(-27))/((-119)/51)? -2/21 Evaluate 8*(-3)/18*(-2)/(-4). -2/3 Evaluate (35/15)/(-7)*-6. 2 Evaluate (3/((-18)/(-1)))/(2/9). 3/4 What is the value of 6/18*6/9? 2/9 What is ((-4)/(-10))/(((-65)/(-75))/13)? 6 (153/30)/(-17)*4/6 -1/5 What is the value of 6/((-2)/16*112/(-21))? 9 What is the value of 72/(-264)*4/(-3)? 4/11 What is ((-12)/(-6)*-2)/(33/11)? -4/3 (-8*(-8)/(-48))/(1/3) -4 What is (4/(-2)*(-51)/34)/3? 1 Calculate (16/(-140))/((-3)/(-15))*-14. 8 Evaluate (1/40)/(69/345). 1/8 ((-2)/8)/(1/(8/(-11))) 2/11 (-3)/10*84/63 -2/5 6*2/44*11 3 ((-1)/12*1)/((-49)/56) 2/21 What is the value of (4/3*(-45)/6)/2? -5 What is the value of (-9)/15*(196/21)/7? -4/5 2/((5/10)/(-1)) -4 What is the value of ((-100)/5)/4*(-3)/(-18)? -5/6 4/21*60/(-40) -2/7 Calculate 630/(-189)*2/(-60). 1/9 What is (-18)/(-39)*11*3/99? 2/13 What is -5*(288/(-20))/(-18)? -4 What is the value of (38/(-171))/((-4)/(-6))? -1/3 Calculate 5/(2*5/(-20)*-2). 5 16/4*6*1/16 3/2 What is (4/10)/((-26)/195)? -3 What is the value of (3/(-2))/(60/(-280))? 7 Evaluate -3*((-190)/80)/(-19). -3/8 Evaluate (36/(-63))/((-1)/1). 4/7 What is 3*3*202/303? 6 Calculate (2/4)/(15/6). 1/5 Evaluate 0*(2/6)/(6/9). 0 What is (2/8*-6)/(-3)*-6? -3 Evaluate (1/(-14))/((-2)/21). 3/4 What is 130/(-39)*(-12)/140? 2/7 What is (-348)/(-261)*21/4? 7 (-2*(-1)/6)/(6/6) 1/3 Calculate -4*1*(-70)/(-56). -5 Calculate 103/103*(-2)/3*-6. 4 ((-9)/30)/(102/85) -1/4 4/(-2)*16/(-32) 1 -3*1/120*-4 1/10 (-24*16/(-256))/((-5)/(-2)) 3/5 (10/(-120)*-8)/((-2)/(-12)) 4 Calculate 28/7*((-66)/12)/(-11). 2 What is ((-2)/(-7))/((-12)/84)? -2 Calculate (-32)/608*(-2)/1. 2/19 Calculate ((-210)/(-20))/(6/4). 7 Evaluate ((-25)/210)/((-30)/18). 1/14 What is (3/(-45))/(2/(-12))? 2/5 Calculate ((-156)/(-15))/13*125/120. 5/6 Calculate (-3)/2*6*32/72. -4 Evaluate 84/4*-5*5/(-75). 7 What is the value of (-984)/(-246)*2*(-1)/(-1)? 8 Calculate ((-4)/(-10))/(16/(-300)*3). -5/2 ((-40)/5)/(-4)*1/(-2) -1 ((-8)/6)/(-4)*(-3)/(-1) 1 What is the value of (2*2)/((100/(-8))/(-25))? 8 Evaluate -3*(-4)/120*-4. -2/5 Evaluate (28/(-140))/(6/45). -3/2 Evaluate 1*8/(-20)*-1. 2/5 What is ((-9)/((-81)/3))/(10/(-5))? -1/6 4/(64/20)*4 5 What is ((-17)/((-1275)/15))/(6/5)? 1/6 ((-11)/99)/(2/3) -1/6 Calculate (11/(-33))/((-1)/(-1)). -1/3 What is 6*(-2)/(-8)*(-84)/315? -2/5 What is (-3)/30*(-48)/40*-5? -3/5 What is (60/(-36))/(2/((-12)/(-2)))? -5 What is (4/10)/(39/15)? 2/13 What is the value of 340/255*9/(-3)? -4 What is (-8)/(-3)*(-369)/(-328)? 3 What is the value of (18/15)/(10/(-25))? -3 What is the value of ((-6)/15)/((-8)/(-20))? -1 What is the value of ((-6)/(-9))/(-2)*-1*9? 3 Calculate 7/(-3)*(-34)/119. 2/3 What is the value of 6/54*(-3)/(-2)? 1/6 (-3)/(((-27)/(-4))/9) -4 What is the value of 11/(22/(-24))*3/6? -6 Evaluate (-11)/2*(-1240)/682. 10 Evaluate 2*1*((-48)/(-20))/(-12). -2/5 Calculate (42/(-18))/(-7)*18. 6 ((-10)/(-5))/((-14)/2) -2/7 (2/44)/(13/104) 4/11 (16*-1)/2*1/2 -4 What is (-12)/18*30/4? -5 What is the value of 6/10*2*(-80)/(-24)? 4 Calculate ((-18)/27)/((-14)/3). 1/7 (4/(-12))/(3/18*-1) 2 Evaluate -2*(-3)/(-12)*(-50)/5. 5 (-30)/150*1/(-4)*25 5/4 Calculate (3/(-3))/(((-6)/15)/(-2)). -5 What is ((-23)/(-506))/(2/(-8))? -2/11 What is (-1)/(((-340)/34)/(10/(-4)))? -1/4 Evaluate 588/168*1*2/42. 1/6 What is -18*((15/(-9))/5)/(-1)? -6 (-2)/(-10)*-4*(-1270)/127 8 Calculate ((-36)/(-63))/((-3)/(21/(-2))). 2 147/(-14)*12/21 -6 Calculate (-8)/(-10)*(-25)/30. -2/3 What is (32/1)/4*8/16? 4 What is (2/(-3)*2)/(15/(-45))? 4 Calculate 39/26*(2/4)/1. 3/4 -2*(-1)/(-2)*(-6)/(-21) -2/7 What is the value of (76/(-19))/(6/3)? -2 Evaluate 1/((-2)/6)*1. -3 What is ((-7)/((-7)/3))/(6/(-2))? -1 (28/(-63))/4*(-14)/7 2/9 ((-2)/22)/((12/(-33))/2) 1/2 ((-4)/10)/(27/45) -2/3 Evaluate ((-28)/(-42))/(-4*1/3). -1/2 Evaluate 8/(-684)*-6*3/(-2). -2/19 Calculate (96/36)/((-70)/21). -4/5 What is (84/168)/(2/24)? 6 What is ((-416)/78)/(10/(-15))? 8 (-1)/(4/(8/(-2)))*0 0 What is (3/(-4))/(75/40)? -2/5 What is the value of -2*3*(-4)/144? 1/6 Calculate ((-2)/(-8))/(3/24). 2 What is the value of ((-2)/(-5))/((-6)/5)? -1/3 Evaluate ((-648)/8)/9*6/6. -9 What is (8/40)/((-3)/15)? -1 (4/3)/(22/(-3)) -2/11 (3/4)/((-24)/128*-28) 1/7 Evaluate (6/(-5))/(((-399)/70)/19). 4 Evaluate 4/45*(-95)/(-19). 4/9 What is the value of (-3)/5*30/6? -3 Calculate (16/(-12))/((-1)/(-6)*-4). 2 What is (-14)/(-105)*10*(-18)/4? -6 Calculate (475/30)/(-19)*(-56)/40. 7/6 Evaluate 2/1*(-12)/6. -4 Evaluate (18/(-180))/((-2)/(-16)). -4/5 (8/(-25))/(2/(-20)*-4) -4/5 Calculate ((-12)/10)/(((-144)/8)/(-9)). -3/5 Evaluate 2/8*5/(-10)*-6. 3/4 (8/14)/((-2)/14) -4 (2/10*2)/(-7)*10 -4/7 What is 3/3*(-10)/(-5)? 2 What is the value of ((252/35)/(-9))/(54/(-5))? 2/27 Calculate 55/2*(-220)/(-550). 11 (-2)/(-2)*14/7*2 4 Calculate (2/(-3))/((-15)/(405/6)). 3 4/(-6)*(-3)/4 1/2 What is the value of -1*(-4)/((-8)/(-2))? 1 Calculate 9/12*2/(-6)*-2. 1/2 Evaluate 20/4*-2*1/2. -5 Calculate (-2)/36*3*0/2. 0 Evaluate ((-24)/308)/((-2)/14). 6/11 What is (-2)/18*4/(-4)*3? 1/3 What is ((-2)/(-7))/((-8)/56)? -2 What is the value of ((756/(-48))/21)/(1/(-4))? 3 What is the value of 1/((-2)/(-2))*(-1)/(-1)? 1 (2/(-4))/(6*(-22)/(-144)) -6/11 What is the value of (1*(-2)/7)/(2/(-42))? 6 Calculate ((-12)/4*1)/(1/(-1)). 3 What is ((-6)/8)/((-17)/(-68))? -3 What is the value of (-31)/62*4/2? -1 10/2*(-9)/(-225)*2 2/5 What is -4*4/(-32)*2*-2? -2 Calculate (-20)/(60/(-6))*2/(-24). -1/6 Calculate 30/(-4)*(-5)/(-30). -5/4 Evaluate ((-60)/8)/(-3)*(-4)/60. -1/6 What is (3/(-2))/((-55)/22)? 3/5 What is 5/(-2)*-1*(-2)/(-10)? 1/2 What is (-2)/((6/(-8))/(72/320))? 3/5 Evaluate (5/(-2))/((3/(-2))/(-3)). -5 7/21*6/(-1) -2 Calculate 4*3/120*-6. -3/5 Evaluate 52/16*28/(-182). -1/2 Calculate (5/(-3))/((-19)/(-57)*-5). 1 Evaluate (2/6)/(30/10). 1/9 Evaluate ((-13)/((-416)/(-40)))/((-5)/6). 3/2 What is ((8/4)/36)/((-2)/(-6))? 1/6 (-5)/15*6*(-12)/8 3 What is (6/3)/6*-15? -5 (1/(-1))/(5/5) -1 (-1)/1*((-3)/3)/1 1 Evaluate (4*21/(-70))/((-27)/(-30)). -4/3 Calculate (9/15)/((-1)/5). -3 (-25)/(-5)*(3/(-5))/3 -1 What is the value of (8/6)/(-2)*252/(-672)? 1/4 Calculate (2/6)/((-147)/252). -4/7 Calculate (10/210)/(2*(-1)/(-12)). 2/7 Calculate ((-4)/(-104)*13)/(12/(-9)). -3/8 What is ((-26)/156)/(9/4)? -2/27 (-1)/((153/2)/9) -2/17 What is the value of (-10)/4*(-8)/(-40)? -1/2 What is the value of (4/((-8)/(-3)))/(6/20)? 5 Evaluate (6*(-3)/(-60))/(12/10). 1/4 2/(4*(-5)/2) -1/5 What is (-48)/(-16)*(16/6)/4? 2 Calculate (-4)/48*-3*12. 3 Evaluate (6/4)/(48/(-8)). -1/4 ((-8)/(-6))/(5/(-120)*-16) 2 Evaluate ((-15)/(-30))/((-25)/10). -1/5 Evaluate (870/(-58))/(6/2). -5 What is (-3)/15*(-60)/18? 2/3 Calculate ((-3)/189*9)/((-1)/2). 2/7 Calculate (2/(-1))/((-34)/(-17)). -1 Evaluate ((-136)/(-51))/(12/9). 2 What is (3*2)/(798/(-57))? -3/7 Evaluate (-27)/18*(-10)/15. 1 32/48*(-36)/336 -1/14 What is ((-20)/8)/((-2)/4)? 5 What is 8/(32/20)*-1? -5 Evaluate ((-16)/6)/(-2)*(-45)/(-150). 2/5 Calculate ((-1)/((-9)/(-1)))/((-20)/(-24)). -2/15 Evaluate (10/(10/(-2)))/3*3. -2 Calculate (6/40)/((-117)/(-104)). 2/15 Calculate 2/5*(-20)/16. -1/2 What is the value of 15/25*(-50)/18? -5/3 15/9*(-16)/(-120) 2/9 Evaluate ((-220)/(-24))/11*(-3)/10. -1/4 What is the value of (-12*(-9)/180)/(6/70)? 7 Calculate 84/48*6/7. 3/2 Calculate 3/4*(-16)/(-504)*-6. -1/7 What is the value of (-9)/2*64/48? -6 Evaluate ((-4)/6)/((-216)/243). 3/4 What is the value of -5*4/80*6/(-3)? 1/2 What is (-2)/(24/(-15))*4/50? 1/10 What is 8/(-14)*54/36? -6/7 Evaluate -18*(232/96)/(-29). 3/2 What is the value of 8/((-3)/(6/4))? -4 Calculate ((-54)/(-162))/((-3)/18*-1). 2 Evaluate 8/2*5/5. 4 2/(-35)*7*(-2)/(-4) -1/5 (-24)/(-18)*(-8)/((-1360)/15) 2/17 What is the value of (-3)/9*-12*(-2)/(-4)? 2 What is the value of (-11)/((-99)/(-6))*3? -2 (2/(-6))/(5/30) -2 What is the value of 12/2*5*4/180? 2/3 What is (938/804)/((-2)/12)? -7 Evaluate 3/10*(-15)/(-9)*-8. -4 Evaluate (-1)/((-2)/((-6)/3)). -1 What is the value of (7*8/28)/(-9)? -2/9 What is (-3)/15*30/(-9)? 2/3 ((-1)/(8/(-10)))/((-24)/32) -5/3 What is the value of ((-6)/63*-7)/(3/(-6))? -4/3 Evaluate -3*5/15*(-2)/7. 2/7 Evaluate (-1)/(1/5)*11/11. -5 (-1)/(-18)*(-7)/((-84)/27) 1/8 Calculate (-2)/5*(-5)/((-25)/5). -2/5 What is the value of 3*(1/(-2))/((-9)/6)?
{ "pile_set_name": "DM Mathematics" }
e first derivative of -167167407*j**3 + 261839233? -501502221*j**2 What is the second derivative of 30665886*h**2 + 39837643*h wrt h? 61331772 What is the third derivative of 281*n**6 - 5356*n**3 + n**2 - 23645990 wrt n? 33720*n**3 - 32136 Find the third derivative of 14603329*n**6 + 401*n**2 - 48902 wrt n. 1752399480*n**3 Find the third derivative of -69257368*u**4 - 4*u**2 + 24*u - 10913 wrt u. -1662176832*u What is the third derivative of 2441575*m**5 - 19065047*m**2? 146494500*m**2 Differentiate 58958987*s**3*t - 5221*s**3 + 6168*s**2 - 2*s*t**4 - 2 wrt t. 58958987*s**3 - 8*s*t**3 What is the first derivative of -2494*i*n**2*w - 809*i*w + 237*i - 4*n**2*w - 166*n**2 + 53*w wrt n? -4988*i*n*w - 8*n*w - 332*n What is the first derivative of -4142303*b**3*s - 2*b**2*s + 4366*s + 961 wrt b? -12426909*b**2*s - 4*b*s What is the second derivative of -124*g**5*l**3 - 6085*g**3*l**3 + 7*g*l**2 - 3*g*l + 4001*l**3 + 3*l**2 wrt g? -2480*g**3*l**3 - 36510*g*l**3 What is the first derivative of -35726712*t**3 - 110633485? -107180136*t**2 Find the first derivative of 1323518*a**2 + 76*a + 630756607 wrt a. 2647036*a + 76 What is the derivative of -4616275*b**4 + 16721372? -18465100*b**3 Find the second derivative of -46095689*v**2 + 9864752*v. -92191378 Find the second derivative of -408*h**5 - 21615*h**4*u - h*u - 5*h - 9501*u + 24 wrt h. -8160*h**3 - 259380*h**2*u Find the second derivative of 29531666*d**2 + 483516*d + 3. 59063332 Differentiate 44986882*f - 109361572. 44986882 What is the third derivative of -1242100840*q**4 - 24*q**2 - 6795252 wrt q? -29810420160*q Find the second derivative of 3662459*l**2*n**3 - 38*l*n**2 + 11031*n**3 wrt l. 7324918*n**3 What is the third derivative of -194672*y**5 - 97*y**4 - 369664681*y**2 wrt y? -11680320*y**2 - 2328*y Find the first derivative of 1949*a*i**3*n + a*i*n**2 + 119085*a - 31*i**3*n**2 + 325*i*n + 2750*n wrt a. 1949*i**3*n + i*n**2 + 119085 What is the second derivative of 306164*f*i**2*k**2 + 40*f*i**2*k + 4*f*i - 1971*f*k**2 + 86*i*k - 2 wrt i? 612328*f*k**2 + 80*f*k Find the third derivative of 38469158*o**5 + 31804*o**2 - o - 160. 2308149480*o**2 What is the second derivative of 75348306*d**3*f**2 - 29805607*d**3 + 4*f wrt f? 150696612*d**3 Find the second derivative of 94024*f**2*l + 4*f**2 + 82*f*l + 125 wrt f. 188048*l + 8 What is the third derivative of -2*h**2*w**3 + 6*h**2*w**2 - 2*h*w**2 + 3*h - 2380455*w**3 + 2*w + 56500 wrt w? -12*h**2 - 14282730 Find the third derivative of 8788483*h**5 + h**4 - 1222554894*h**2 wrt h. 527308980*h**2 + 24*h What is the third derivative of n*x**4 + 12*n*x**3 - 2*n*x**2 - 8222*n*x - 2*n - 4077*x**4 + 5*x**3 + 254*x**2 - 1 wrt x? 24*n*x + 72*n - 97848*x + 30 Find the second derivative of -1093575*a**2*v**2 + 12*a**2*v + 23*a*v**2 + 8*a*v + 3*v**2 - 510*v + 1 wrt a. -2187150*v**2 + 24*v What is the derivative of -4*j**4 + 990387*j - 14878151? -16*j**3 + 990387 Find the second derivative of -3*b**2*c*h**3 + 16178264*b**2*c*h**2 - 609*b*c + 385*b*h**3 + 9*c*h - 3*c wrt b. -6*c*h**3 + 32356528*c*h**2 Find the second derivative of 209210*l**4*n - 2*l**4 - l**2 - l*n + 2882912*n wrt l. 2510520*l**2*n - 24*l**2 - 2 Find the third derivative of 57346*t**2*u**4 - 52*t**2*u**3 + 153653*t**2*u**2 + 27*t**2 wrt u. 1376304*t**2*u - 312*t**2 What is the derivative of 8879*c*q*r + 1701*c*q + c + 2675*q*r - 34*q + 39 wrt r? 8879*c*q + 2675*q Find the first derivative of -40*d**4 - 115661*d**3 - 62089083. -160*d**3 - 346983*d**2 What is the first derivative of 2440*g**2*q - 91266869*g**2 + 4120*g*q**2 - 7*q**4 wrt q? 2440*g**2 + 8240*g*q - 28*q**3 Find the second derivative of 47000639*f**2 - 3722345*f. 94001278 What is the second derivative of -6689620*m**3 - 2*m**2 - 12473963*m - 3 wrt m? -40137720*m - 4 What is the second derivative of -387500085*x**5 + 856*x - 23176 wrt x? -7750001700*x**3 What is the second derivative of -26478799*y**2 + 20945478*y wrt y? -52957598 What is the derivative of -337938510*d**3*g + 105377*g + 352 wrt d? -1013815530*d**2*g What is the third derivative of -r**6 - 5799854*r**4 + 54*r**2 + 1136*r - 1 wrt r? -120*r**3 - 139196496*r What is the first derivative of 20*y**2 + 1098663*y + 63938569 wrt y? 40*y + 1098663 Find the third derivative of 16*f**6 + f**4 - 4550755*f**3 - 34669504*f**2 wrt f. 1920*f**3 + 24*f - 27304530 Find the second derivative of 785*m**3 + 33506*m**2 - 20232798*m wrt m. 4710*m + 67012 Find the third derivative of -15572*w**5 - 804*w**3 - 30*w**2 + 3503068*w wrt w. -934320*w**2 - 4824 What is the second derivative of -90119099*l**3 + 71859*l + 5 wrt l? -540714594*l Find the third derivative of 31280607*i*s**3 - 2*i*s**2 - 4*i*s - 2*i + 5*s**2 + 25226 wrt s. 187683642*i What is the first derivative of -36643258*a*n**3 - 5*n**3 - 2*n**2 - 12160*n + 19 wrt a? -36643258*n**3 What is the third derivative of 6*b**4*m + 5*b**4 + 17*b**3*m - 410*b**3 + 1108510*b**2*m + b**2 wrt b? 144*b*m + 120*b + 102*m - 2460 What is the first derivative of 2654*g*i + 139*g + 10579*i + 372 wrt g? 2654*i + 139 Differentiate 2*z**3 - 3*z**2 + 38733*z - 35249243 with respect to z. 6*z**2 - 6*z + 38733 Find the first derivative of -k**3 - 86*k**2 - 32471*k + 756161798. -3*k**2 - 172*k - 32471 What is the third derivative of 2463*a**2*l**3 - 856*a**2*l + a**2 + 57456*a*l**3 - 8*a*l**2 + 2003*l**2 wrt l? 14778*a**2 + 344736*a What is the second derivative of 5*b**3 + 12345215*b**2 + 289287433*b? 30*b + 24690430 What is the first derivative of -50268303*k**4 - 220108755? -201073212*k**3 What is the first derivative of 524*a*o**3 + 3428*a*o**2*y**2 + 72*o**3*y**2 - 731*o**2 + 3*o*y**2 - 3*o wrt a? 524*o**3 + 3428*o**2*y**2 What is the second derivative of 241930*t**4 - 3*t**3 + 2*t**2 + 4283611*t? 2903160*t**2 - 18*t + 4 Find the second derivative of 1558*j*k**2 - 50*j*k*p**3 - j*k*p**2 - 12*j*k*p - 38*j*p**3 + k**2*p**3 + 1261*k**2*p**2 + 2*k*p**3 + k*p**2 + 8*p**2 wrt k. 3116*j + 2*p**3 + 2522*p**2 What is the second derivative of 4635*m*n*u**2 + 50*m*n*u + 3901*m*n - m*u + 4*m + 1986*n*u**3 + 2*n*u**2 wrt u? 9270*m*n + 11916*n*u + 4*n Find the second derivative of -109016*g*r**2 + 603969*g*r - g - 12*r**2 wrt r. -218032*g - 24 Find the third derivative of 21860132*a**3 + 20801597*a**2. 131160792 What is the third derivative of -4*q**4 - 48187310*q**3 + 573647195*q**2 wrt q? -96*q - 289123860 What is the second derivative of -6*c**3*t**2 - c**3 + 8108*c**2*t + 2*c**2 - 3*c*t**2 - 5*c*t + 39632*t**2 wrt c? -36*c*t**2 - 6*c + 16216*t + 4 Find the first derivative of -3*c*y**3 - 6049302*c - 12640020*y**4 wrt y. -9*c*y**2 - 50560080*y**3 Find the third derivative of -52616186*z**6 - 5*z**2 - 3*z + 655011. -6313942320*z**3 Find the first derivative of -399*t**2 - 371630*t + 504387413 wrt t. -798*t - 371630 What is the second derivative of -27*c**3*g*l**2*v**2 + 2*c**3*g + 61*c**3*l**2*v + 12*c**2*g*l*v - 9*c*g*l**2*v - 5*c*g*v + 6040*g*l**2*v**2 - g*v wrt v? -54*c**3*g*l**2 + 12080*g*l**2 Differentiate 30*i**2*n**3 - 25*i**2*n**2 - 1426*i - 165*n**3 + 9849*n**2 - 10*n with respect to i. 60*i*n**3 - 50*i*n**2 - 1426 What is the third derivative of -86645980*d**3 + d**2 + 21*d + 11227 wrt d? -519875880 Differentiate -7144*a*l*t - 1107*a*l - 93*a*t - 210899*l + 7*t with respect to t. -7144*a*l - 93*a + 7 What is the second derivative of 2890098*l**5 + l**4 - 4070945*l? 57801960*l**3 + 12*l**2 What is the second derivative of 966*q*w**2 + 77*q*w + 1860*w**3 - 45203*w wrt w? 1932*q + 11160*w Find the second derivative of -2*d**4 + 73712448*d**3 - 38*d + 2394755. -24*d**2 + 442274688*d What is the second derivative of -2153*y**3 + 4489*y**2 + 58665662*y wrt y? -12918*y + 8978 What is the first derivative of -374253*u**3 - 185*u + 220292524? -1122759*u**2 - 185 Find the first derivative of -1189835*d*y**3 - 2*d*y**2 + 18116593*d - 2*y wrt y. -3569505*d*y**2 - 4*d*y - 2 What is the third derivative of -48761*f**4 + 227*f**3 - 4*f**2 - 548*f - 342? -1170264*f + 1362 What is the first derivative of 201970454*t + 57138209? 201970454 What is the third derivative of 38758570*b**3 - 8*b**2 - 7*b + 169966 wrt b? 232551420 Find the third derivative of 6136*g**3*v**2 + 2*g**3*v + 2462*g**3 + 130*g**2*v**2 - 10*g**2*v - g**2 + 2*g*v**2 + 3*g - 1012 wrt g. 36816*v**2 +
{ "pile_set_name": "DM Mathematics" }
+ 2*x**3 + x**2)*((1 + 3 - 2)*(1 + 0 - 3) + 1 + 2 - 4 - 5013 - 71 + 1177) to f*x**3 + g + t*x**2 + i*x and give f. -7824 Rearrange (3*w - 7*w + 2*w)*(-1 + 1 + 2) + (29*w - 11*w - 11*w)*(1 - 5 + 2) + (2*w - 4*w + 0*w)*(0 + 13 + 9)*(1 + 4 - 6) to x + t*w and give t. 26 Rearrange g**2 + 85 + 3*g**2 - g**4 - 56 - 25 to the form u*g**3 + n*g + q*g**4 + f + p*g**2 and give f. 4 Rearrange -16*q**3 + q**2 + 35*q**3 + 9*q - 4*q**4 - 16*q**4 - 18*q**3 + q to the form k*q**4 + n*q**3 + y*q + v + s*q**2 and give s. 1 Rearrange 1045*d - 681*d - 1284*d - 8211*d to the form s*d + x and give s. -9131 Express -564 + 2*s + 40 - 488 + 170 as i + h*s and give h. 2 Rearrange (19 + 14 + 6)*(-32*c + 30*c - 1 - 7) to u + a*c and give a. -78 Express 3507*i - i**2 + 43 - 44 - 3509*i - 520*i**3 as w*i + n + l*i**3 + g*i**2 and give g. -1 Express -1613*i - 34 - 2*i**3 + 3274*i - 1663*i - 14*i**2 in the form w*i**2 + m*i**3 + o*i + a and give a. -34 Express (66 + 67 - 131 - 12*n**2)*(-5 - 51 - n - 20) as i + f*n**3 + v*n**2 + g*n and give v. 912 Express -39 - 58 - 180*w + 259 + 170*w + 104 as t + q*w and give t. 266 Express z**2 - 1 + 6*z**2 + 490*z - 6*z**2 + 4*z**2 - 3*z**2 in the form v*z + r + h*z**2 and give r. -1 Rearrange -16*x**3 + 101 + 36*x**3 - 33 + 26 - 21*x**3 to the form a + c*x**3 + j*x**2 + d*x and give a. 94 Rearrange -2900*s - 905*s - 659*s - 3076*s + 1312*s to b + c*s and give b. 0 Express (-2 + p + 2)*(3*p - 4*p + 3*p) + (5*p**2 - 29*p**2 + 114*p**2)*(0 - 2 - 6) as r*p + h + f*p**2 and give h. 0 Rearrange (257 + 54 - 37)*(3 + 4 + 4*n - 4) to s + b*n and give s. 822 Rearrange -8*u**3 - 13783*u**4 + 10 + 10*u**3 + 13777*u**4 + 3*u**2 to the form p*u + q*u**3 + a + s*u**2 + x*u**4 and give s. 3 Rearrange -8 - 12 - 138*i**2 + 14 + 280*i**3 + 138*i**2 to k + v*i**2 + f*i**3 + h*i and give f. 280 Rearrange (-3 + 4 - 2)*(27 - 27 - 50*y) + (-2 + 0 + 0)*(-2 - y + 2) + y + y + y - y + y + y to the form a*y + t and give a. 56 Rearrange (6*l + 19*l + 5*l**2 - 31*l + 3)*(1345*l - 1345*l - 37*l**2) to o + x*l**4 + h*l**3 + p*l**2 + d*l and give x. -185 Express 11*q**3 - 37*q**3 + 68*q + 1247*q + 13*q**3 + 14*q**3 as w + y*q + t*q**2 + d*q**3 and give y. 1315 Express (0*c - 5 + 4*c + 3)*(-20068*c - 838 - 764 + 1604) in the form l + v*c + k*c**2 and give v. 40144 Rearrange 2 - 2 - 3515897*p**2 + 118*p + 3515885*p**2 + 165*p to the form o + v*p + z*p**2 and give z. -12 Rearrange 12*k**3 + 35*k**3 - 1 + 2776*k**2 - k - 2759*k**2 to the form s*k**2 + i + d*k + j*k**3 and give i. -1 Express (44*h**2 + 7*h**4 - 44*h**2)*(-487 - 400 - 20) as q*h**3 + g + r*h + y*h**2 + d*h**4 and give d. -6349 Rearrange -2*a + 2*a - a + (-4 + 2*a + 4)*(4 - 3 + 0) + 3*a - 2 + 2 + (5 - 4 + 1)*(-32*a + 13 - 13) to the form c*a + l and give c. -60 Express 48*m**2 - 2752 - 46*m**2 - 638 as w + y*m + u*m**2 and give u. 2 Express 2*u**3 + 915 - 1095 + 280*u**2 - 281*u**2 as n*u**2 + g*u**3 + w + q*u and give w. -180 Express 124041 - 124041 - 641*k + (-3*k + 0*k - 2*k)*(4 - 4 + 1) in the form q*k + j and give q. -646 Rearrange y**4 + 1 - 1 + (-7*y**3 - 5 + 5)*(67 - 32 + 91)*(-6*y + 0*y + 2*y) to r*y**4 + g*y**2 + i + m*y**3 + o*y and give g. 0 Rearrange 219*i**2 + 3890 - 16*i**2 - 204*i**2 to the form p + n*i**2 + m*i and give p. 3890 Express 69*c**2 - 25*c**2 - 42*c**2 - 20*c + 6*c - 17 as b*c + d + z*c**2 and give b. -14 Rearrange 16380 - 18845*c - 10343*c - 32764 + 16384 to q*c + h and give q. -29188 Express 76*r + 71*r - 4 + 26*r**3 + 4*r**2 + 88*r - 236*r as s*r + a + q*r**3 + b*r**2 and give q. 26 Rearrange -238 - 159 + 2*a**2 + a + 263*a**3 - 515*a**3 + 259*a**3 + 0*a to s*a + p*a**2 + w + k*a**3 and give p. 2 Rearrange (25450*j**3 - 11355*j**3 - 9693*j**3)*(-3 + 5 - 3) to the form v + y*j**2 + t*j + r*j**3 and give r. -4402 Express -34823 + 35128 + 2*k**2 - 8*k**2 in the form l + s*k**2 + v*k and give l. 305 Express 51*o**2 + 36*o**2 + 3 - 85*o**2 + 1034*o + 0 as s*o**2 + u + n*o and give s. 2 Express -1006*o**2 - 50*o**3 + 1006*o**2 + (-5*o + 3*o - o)*(15*o**2 + 316 - 316) as x + c*o**3 + b*o**2 + d*o and give c. -95 Rearrange 12945*w**2 - 25858*w**2 + 101*w + 1 - 1 + 12936*w**2 to t + n*w**2 + p*w and give p. 101 Rearrange (-133*b - 136*b - 49*b - 39*b)*(-32 + 7*b + 32) to the form f + u*b + t*b**2 and give t. -2499 Rearrange -17122*g**2 + 2*g**3 + 8563*g**2 + 8560*g**2 + 1 + 770*g**4 to r*g + n + k*g**2 + a*g**4 + o*g**3 and give n. 1 Express 390*c + 157*c + 1831 - 1831 in the form v + t*c and give t. 547 Express -13*l**2 + 144 + 107 - 16 - 310*l + 308*l as y*l**2 + g*l + a and give y. -13 Rearrange (0*t**2 - t**2 + 2*t**2)*(5878747 - 5878747 + 7263*t) to q + w*t + h*t**2 + b*t**3 and give b. 7263 Rearrange (317479 - 635094 + 317421 + 23*w)*(-4 + 4 + 1)*(1 - 1 + 1) to k*w + j and give j. -194 Rearrange 0*i - 21 + 4*i + 289 + 253 - 2*i to the form y + c*i and give c. 2 Rearrange (23979*g - 6438*g - 2251*g)*(2 + 0 - 1) to the form c*g + s and give s. 0 Express 96 - 57 + 2*h**2 + 3347*h - 3*h**2 - 38 as c + b*h + o*h**2 and give c. 1 Rearrange (15 - 3 + 15)*(1 - 1 - 7*s**2 + (-3 + 2*s + 3)*(-14*s + 138 - 138)) to the form f*s**2 + z + y*s and give f. -945 Rearrange (-266*x + 272*x + 455*x)*(-5 + 3*x + 5)*(3*x + 2 - 5*x + 0*x) to the form q*x**3 + s*x + k + w*x**2 and give q. -2766 Express -36264*q**3 + 35900*q**3 - q + 2*q**2 + 2*q**2 in the form r + l*q**2 + f*q**3 + c*q and give f. -364 Express -486*k**3 + k + 8*k - k + 8 + 2*k**2 - 5 + 466*k**3 in the form m*k**3 + o*k + w*k**2 + d and give o. 8 Express -2 - 1058*t**3 - 1053*t**3 + 223*t - 1055*t**3 + 3168*t**3 - 3*t**2 as j*t**3 + g*t**2 + d + s*t and give j. 2 Express -6*z**3 - 3*z**4 - z**2 - 15*z**4 + 3*z - z**4 + 3*z**4 + 79 - 81 in the form r*z**4 + s*z**3 + c*z + b + l*z**2 and give r. -16 Express 79 - 47 + 8865*c - 32 + 770*c as q + h*c and give h. 9635 Rearrange w - w**3 - 38 + 10*w**3 - 11*w**3 + 15*w**2 + 5*w**3 - 18*w**2 to o*w**2 + h*w + u + m*w**3 and give o. -3 Express 2 + 3*c + 4*c**4 - 94965*c**3 + 94909*c**3 + 2*c**2 + 3*c - 5*c in the form o*c + b + w*c**2 + x*c**3 + i*c**4 and give w. 2 Rearrange 2*q - 98*q**3 + 0*q - 1 + 15*q**3 + 5*q**2 + 13*q**3 - 3*q to u + o*q + w*q**2 + z*q**3 and give z. -70 Rearrange 754 + 0*p - 4780*p**3 + 4781*p**3 + 2*p**2 - 2*p to g*p**2 + x*p + u + d*p**3 and give g. 2 Express -h**2 - 13*h + 162*h**4 + h + 5*h + 6*h - 168*h**4 in the form t*h**3 + a + j*h**4 + n*h + r*h**2 and give t. 0 Rearrange (-54 + 66*s + 54)*(-3 + s + 3)*(0*s + 27*s + 25*s) to r*s**3 + l*s + c + a*s**2 and give a. 0 Express -119 + 244 - o**4 - 924*o**3 + 0*o**4 - 128 - 108*o**3 in the form w*o + h + g*o**3 + a*o**2 + r*o**4 and give h. -3 Express (334 - 549 + 0*w + 2*w)*(51*w - 16*w + w) as n + k*w**2 + g*w and give k. 72 Rearrange -155*w**2 - 210103*w + 210103*w + 8 - 49*w**2 to o*w + j + b*w**2 and give b. -204 Express 46*b**4 - 22*b**4 - 5*b**4 + 14*b**4 + 169*b - 1 in the form k*b**4 + g*b**2 + h*b + j*b**3 + i and give k. 33 Express (-28 - 954 + 104)*(-2 + 2 + 2*m)*(2 - 2 + 1) in the form n + w*m and give n. 0 Rearrange 18805*r + 11 - 11 + 13669*r to the form l + k*r and give k. 32474 Express -1300*o - 414 + 223*o + 415 in the form d + h*o and give d. 1 Express (-j - 4 + 4)*(-484 + 484 - 91*j**2) + (-3 + 0 + 4)*(2 + 73*j**3 - 160*j**3 + 18*j**3) in the form p + v*j**3 + y*j + a*j**2 and give p. 2 Rearrange -19 - 16 - 19 + 64 - 1460*f - 11 to g*f + a and give g. -1460 Express (530 + 331 + 1888)*(-1 - d**4 + 1) as w*d + z + t*d**3 + l*d**2 + a*d**4 and give w. 0 Rearrange -2*z + 4 - 6 + 70*z**2 + 384*z**2 - 40*z**2 to h + v*z**2 + b*z and give b. -2 Rearrange 12*z**4 - 140*z**4 + 4*z**2 + 114*z**4 + 12*z**4 - 5*z**3 + 3*z to k*z**2 + x*z + g*z**4 + c + a*z**3 and give c. 0 Express (1 + 2 - 1)*(3*t**3 + 93*t**2 - 93*t**2) + 74*t**2 - 74*t**2 - 954*t**3 - 166*t**3 in the form x*t**2 + s + h*t**3 + z*t and give h. -1114 Express 160*s**4 - 8*s**3 - 60*s**4 + 4*s**2 - 51*s**4 - 5 - 47*s**4 - 2*s as x + v*s**3 + n*s**2 + l*s**4 + p*s and give p. -2 Rearrange (11 + 0 + 9 + (53 + 71 + 26)*(1 + 1 + 0))*(-t - 1 + 1) to s*t + f and give s. -320 Express -18833*s + 1789*s - 8062*s in the form b + m*s and give m. -25106 Express 1 - 6 + 5301*s**2 + 5 - 1591*s**2 as w*s**2 + r + m*s and give w. 3710 Rearrange -104*o - 1293
{ "pile_set_name": "DM Mathematics" }
q, 0 = -2*k + q + 65 for k. 32 Solve -2*o + 8*j + 0 - 52 = 0, -22 = 2*o - j - j for o. -6 Solve 0 = 7*g, 4*l + 2785895*g + 64 = 2785883*g for l. -16 Solve 0 = 3*t - 5*m - 19, 3824*t - 7653*t + 4*m + 8 = -3829*t for t. 3 Solve -4*x - 5*a = -7*a + 22, -a - 12 = 27*x + 14 - 8 for x. -1 Solve 13*m - 3*t - 37 = 3*m + 12*m, m - 2*t = -46 + 17 for m. -23 Solve -142*r + 2522 = -108*r - 312*r - 5*u, -r + 3 = -3*u for r. -9 Solve 5*q - 1 = -4*u, 0*u = 2*u + 54*q - 57 + 5 for u. -1 Solve 0*w = -w + w + 3*g + 15, 4*w - 2270*g = -2280*g - 22 for w. 7 Solve -3*m - 29 = 2*u, -365*m + 180*m - 27 = -180*m + 2*u for m. 1 Solve -6*w - a + 58 = -11*w - 2*a, 5*w - 210 = 8*w + 59*a for w. -11 Solve -7*m + 37 = 24*m - 10*m - 131, 5*i + 4*m - 52 = 0 for i. 4 Solve -j = w + 58 - 57, 0 = 5*j - 5*w - 45 for j. 4 Solve 5*p - 119*g + 267*g = 136*g + 76, -3*p = -5*g - 1 - 8 for p. 8 Solve 2*r + 1 = -2*l + r, -113949*l - 4*r - 1 = -113944*l for l. -1 Solve -27 = 2*t - 165189*u + 165190*u, -5*t - 3*u = -4*u - 13 for t. -2 Solve -10*w = -d - 51, -4*w + 2127 = 3*d + 2212 for w. 2 Solve -10 = 4*m + 3*d, -77*m = -89*m + 14*m - 3*d - 4 for m. -1 Solve -3*h + 5*h + 2*o = -38, 11*h + 6*o = 10*h + 1 for h. -23 Solve -5*c + 25 = 4*n, 5*n + 5*c - 35 = c - 6 for n. 5 Solve -t + c - 11670 + 11686 = 0, -2*t = c - 23 for t. 13 Solve -4*j - 5*a - 1377 = -1340, -4*j - a = -2*j + a + 16 for j. -3 Solve h - 22*f - 1 - 2 = -16*f - 7*f, -h - 17 = 6*f for h. 7 Solve -r - 9122270 + 9122254 = -5*y, -48 = 3*r + 5*y for r. -16 Solve 3*f + 18 = -2*p, -3*p + 15*f - 20*f + 70 - 99 = 0 for p. -3 Solve 3*t - 7*g + g = -48, -17 = -1041*t + 1039*t - 3*g for t. -2 Solve -5*p + 3*u - 55 = 0, -394*u - 12*u = -2*p - 6094 for p. -2 Solve 2*j + 4*d = -22, -43*j - 45*j = -86*j + 12*d + 54 for j. -3 Solve -6*y = -24, -5*s + 2*y = -64 + 104 - 92 for s. 12 Solve 2*p = -115405*m + 115403*m + 18, 4*p - 71*m - 111 = 0 for p. 10 Solve 9*w = 14*w + 4*s + 6, -8*s + 18 = -5*w for w. -2 Solve -116 = 9*d + 4*c, 7991 = -3*d + 2*c + 7959 for d. -12 Solve 75 + 39 = -3*i, -95*p + 79*p + 422 = 368*p - i for p. 1 Solve -d + 18 = 4*s, -25*s + 4115 = 5*d + 4015 for s. 2 Solve -5*d + 5*w - 5 = 0, -36458*w = -5*d - 36461*w - 13 for d. -2 Solve 4*y = n + 3*y - 14, 33 = n - 5*y + 11 for n. 12 Solve -3*t + 7 = -3*a - 14, 2295*a - 2297*a + 3 = 3*t + 7 for a. -5 Solve 1 = -19*v - 2*g + 1, 0 = -155*v + 153*v + g for v. 0 Solve -29 = -28*d + 29*d + x, 2*d - 28 = 6*d - 3*x + 109 for d. -32 Solve -15*g + 495 = -0*g - 315, 12*v + 2*g = 144 for v. 3 Solve -2*z + 0*z + 2*d = -36, 3*z - 419750 = 6*d - 419657 for z. 5 Solve -2*c + 56 = f, -f + 21*f + 175 + 133 = 11*c for c. 28 Solve -3*z + 4*l + 88 = 0, 7*z = -120885*l + 120884*l + 164 for z. 24 Solve 3*d - 18 = y, 367902*y = 367907*y + 45 for d. 3 Solve 4*g + t = 45, 108412*g - 108424*g + 153 = -3*t for g. 12 Solve 3679 - 3689 = -j, -5*x - 5*j = -40 for x. -2 Solve 9*i - 3*i + 6 = 2*l, -4*l - 555*i = -560*i - 12 for l. 3 Solve 4*s = 8*l - 20, 2*l + 82*s + 1549 - 1559 = 78*s for l. 3 Solve 0 = 7*g - 5*c - 116, 3*g + 3474 = -4*c + 3536 for g. 18 Solve 18*i + 9*k - 4*k = 34*i + 17, -4*k - 9 = -k for i. -2 Solve -3*k + 525*h = 522*h + 54, 3 = h for k. -15 Solve 3*k + 1859 = -i + 1839, 2*i - 16 = k for i. 4 Solve 166 = 20994*k - 20991*k - 5*j, 2*j + 103 = -11*k for k. -3 Solve s - 82 = -2*s - 4*z + 31, 449 = 14*s + 3*z for s. 31 Solve -113*n + 109*n + 5*p - 23 - 100 = 0, 7*n = -3*p + 102 for n. 3 Solve -3*d = -5*b + 68, 247 - 413 = -3*d - 10*b - 264 for d. -26 Solve -3*a - 132 = -2*o, 9*a - 29*a + 21*a + 68 = o for a. 4 Solve -48 = -3*r + 2*r + 17*v, 2*v + 24 = -6*v for r. -3 Solve 0 = 3*y - 4*s - 1, 2*y + 12*s + 6 = 5*y + 21 for y. 3 Solve -2*k = 3*p + 18, -99 = -9*k + 10*k + 24*p for k. -3 Solve -4*k + 85 = -2*f - k + 89, 2*f - 25 = -0*f - f - 5*k for f. 5 Solve -7*y + 376 = 3*s, -12*s + 200 = 4*y - 26*s + 12*s for y. 52 Solve 16*j = 9*j + 2*h + 97, 5*j - 2*j + 3*h + 84 - 114 = 0 for j. 13 Solve 4*r = 6*u + 92, -3*u - 2*r - r = 2*u + 7*r - 7*r + 64 for u. -14 Solve 0 = -a + 4*a - 246 + 255, y = 3*y - 2*a - 60 for y. 27 Solve 0 = 3*l - 5*i + 3623 - 3630, 3*i = 3*l - 15 for l. 9 Solve u + 2*b + 24 = -0*u - 3*b, -b = 2*b - 10*b + 6*b for u. -24 Solve -3*v + 53 = 4*u, -24*v = 22*v - 55*v - 2*u + 169 for v. 19 Solve 480*m = -74*u + 77*u + 481*m - 5, -2*u = -25*m - 183 for u. 4 Solve 4*d - 19*w - 1229 = -1134, d - 2*w = -6*w - 20 for d. 0 Solve 0 = c - 40*v + 146, -367 + 157 + 180 = -3*c + 3*v for c. 14 Solve -3*m = 3582*h - 3580*h - 22, 0 = 104*m + 5*h - 441 for m. 4 Solve 5*a - 5*j - 10 = 0, 11 = 4*a + 8951*j - 8952*j for a. 3 Solve -5*g - 9*w = -115, 0 = 3*g + 606*w - 607*w - 37 for g. 14 Solve f - 4*v = -52, 24 = 257*f - 258*f - 3*v for f. -36 Solve -424*c - 16 = 5*q - 211*c - 216*c, -q + 4*c = 44 for q. 4 Solve -4*f - 463*l + 466*l - 4 = -1, -5*l = -61*f - 5 for f. 0 Solve -3*j + 29 = 42365*z - 42340*z - 1, 3*j - 2*z + 51 = 0 for j. -15 Solve -5*h + 5*x - 55 = 0, 0 = 2423089*x - 2423094*x for h. -11 Solve 0 = -13*g + 20 + 6, 33*q + 5 = 32*q - 3*g + 14 for q. 3 Solve -2*f = -22*d + 36, 841*d - 839*d + 26 = -4*f for f. -7 Solve 4*p = 3*d + 55, -353*p - 3*d = 354*p + 352*p - 1059*p - 9 for p. 16 Solve 5*w + 38 = -7, -5*x + 36*w - 10*w = 30*w + 26 for x. 2 Solve -2*u = -12, 3*r = -4*u + 2669725 - 2669716 for r. -5 Solve -20*i + 25*i + j - 48 = 0, 20*j = 4*i + 24 for i. 9 Solve -36085 = 3*m - 3*z - 36022, -7*m + 3*z = 143 for m. -20 Solve 10 = -2*r + 3*w, -1196*r - 3*w + 5*w + 36 = -1192*r + 3*w for r. 7 Solve 68 = 3*a - 2*d, 5*a + 5*d + 13853 = -6*d + 13995 for a. 24 Solve f + 4*o = -24, -148*o = -152*f + 157*f + 888 for f. 0 Solve 5*h - 696 = -4*k, 948 = k - 2*k + 11*h + 20 - 564 for k. 4 Solve 0 = 3*d - 15, 4*v - 3*d + 30 = 19 for v. 1 Solve 0 = 4*x + u + 21162 - 21097, 4*u = -x - 20 for x. -16 Solve 10*g - 7 + 28 = 3*u, -2*u - 2*g + 7 = -u for u. 7 Solve 0 = -k + 10, 1409893*p = 1409896*p + 4*k - 37 for p. -1 Solve -5*i = -0*t - t + 16, 0 = 4*t + 4*i - 1428 + 1460 for t. -4 Solve 3*v + 8*k = 2*v + 6*k + 15, 33*v + 75*k = 74*k + 170 for v. 5 Solve 5*z + m = 2*z + 3 - 16, -83*z = 5*m + 269 for z. -3 Solve -12 = g + c, -8*g + 9723 = c + 9714 for g. 3 Solve 0 = 5*p + 5*r - 20, r + 4*r = 53*p - 47*p + 2 - 4 for p. 2 Solve 5*c + 2 = -2*d + 22, -66*d - 56*c = -37*d - 34*d - 224 for d. 0 Solve 10*c + 7108 = -4*a + 6900, 102 = -a - 5*c for a. -2 Solve 10552*r = 10547*r - 3*c + 78, -5*r - 78 = -3*c for r. 0 Solve -2*x = -11*o + 191 - 130, o = 2*x + 11 for x. -3 Solve -167*t + 171*t + 3*q = 76, -6*t + 3*q + 114 = 0 for t. 19 Solve 6*a = -5*t + 79, -t + 12 = 1486*a - 1481*a for a. -1 Solve -39*z + 4*d + 40 = -40*z + 10, -5*d - 5 = z + 28 for z. -18 Solve 125 = 2*b + 143, -15*g = -13*g - 29*b - 8*b - 212 - 123 for g. 1 Solve 96 = 3*i - 3*m, 0 = -5*i + 25*m + 4848 - 4108 for i. 3 Solve -2*d - 5*b - 26 = -b, -5*d + 6226*b = 6221*b - 1 - 24 for d. -1 Solve 5*f + 2*d + 2*d = 2*f + d, -103*f - 2*d = -108*f for f. 0 Solve 5*n - 60 = -10*l + 15*l, l = 2*n - 4*l - 36 for n. 8 Solve -763*i + 761*i - 11 = 3*w, -10*i + 2*w + 30 = 0 for i. 2 Solve -63*z - 62*z + 186*z - 58*z - u = -5, -z = 4*u + 19 for z. -3 Solve 5*a + 6 = -3*s + 6*s, 4*a - a - 6*a - 75*s + 534 = 0 for a. 3 Solve 1818*u = 1819*u + 3*s - 1, 9 = u - s for u. 7 Solve -3*h + 8 = -3*s + 7*s, 7*h - 681*s + 678*s = 2*h - 35 for h. -4 Solve 0 = a - 26*k + 28*k - 20, -2*a - a = -2*a - 5*k + 1 for a. 14 Solve o + 25 = 2*v, -4*o - 432195*v = -432170*v + 199 for o. -31 Solve 10*w - 3*b + 36 - 33 = 6*w, -4*b - 9 = -w for w. -3 Solve -2*y + 1678*t + 168 = 1635*t, 2*y + 16 = -3*t for y. -2 Solve -2*m = 2*m - 28, 42 - 2 = -5*f - 33*m + 38*m for f. -1 Solve -4*p = 1799*z - 1809*z + 66, -p + 4*z = 27 for p. 1 Solve -4*m = y + 60287 - 60267, 5*y - 15 = 3*m for y. 0 Solve -66*n + 82*n + 2*o = 168, -3*n + 6*o - 2*o = -14 for n. 10 Solve 3*f - 14628 = 2*y - 14637, -y + 3 = 0 for f. -1 Solve -3*i + 41 = -13*n, 0 = -5*i + 4*n - 1267 + 1247 for i. -8 Solve -10*i = -1304*d + 651*d + 656*d - 86, 6*d - 2*i + 4 = -0*i for d. 2 Solve 88247 - 88131 = 5*p + 3*m, 0 = p + 2*m - 26 for p. 22 Solve -3*m + 25690*h - 112 = 25677*h, 0 = -m + h - 44 for m. -46 Solve -2*t + 30 = -3*t + 5*o, -40 = 988*t - 979*t + o for t. -5 Solve 143 = 42*f - 211*z + 216*z, -5*f - 18*z + 19*z = -25 for f. 4 Sol
{ "pile_set_name": "DM Mathematics" }
/((-3102)/5170)? 11/3 Evaluate (-10)/(-15)*4/32*(-51)/272*-2. 1/32 Calculate ((((-60)/50)/((-26)/65))/6)/(14/(-8)). -2/7 What is the value of 47175/25160*1*4/15? 1/2 Evaluate ((-3)/(-24)*-1*272/306)/(94/6). -1/141 (((-7)/378)/((-29)/435))/(2/18) 5/2 (416290/77311)/(3*2/39) 35 Calculate ((-123294)/(-82196))/(2/438*18/4). 73 ((-999)/(-222))/(648/7056) 49 What is the value of 272/(-2)*(-11)/((-924)/(483/23))? -34 Calculate ((196/21)/(140/300*5))/((-746)/1). -2/373 Calculate (141358/258132)/((-1)/7). -23/6 Evaluate ((-10)/30*(-9)/42*2)/(4296/(-12530)). -5/12 (-4)/(((-34)/(-255))/(406*(-16)/(-1344))) -145 (((-150)/5)/((-3183)/2122))/(5/(-32)*-1) 128 Evaluate (-24)/(-17)*332656/14676. 32 Calculate 24*23/828*(-13)/(130/240). -16 What is (21/98)/(19*4/76)? 3/14 What is the value of (-31848)/29194*(-22)/(-76)? -6/19 Evaluate ((-120)/240)/(2/1300*-5). 65 13/(429/220)*31/4340 1/21 Evaluate 693/(-35)*445/4895. -9/5 -1*7/(-10)*3462/(-4039)*95 -57 What is (47/(-282)*24)/(77/(-28))? 16/11 What is 162393/339549*(-14)/11? -14/23 What is the value of ((-21)/(-78))/((((-3441)/248)/(-37))/((-21)/(-98)))? 2/13 What is the value of (-55)/1936*(-13552)/(-24640)? -1/64 What is (11907/2254)/(-81)*3/9? -1/46 Calculate (-14)/((-196)/(-3150))*92/(-276). 75 What is the value of ((-51)/(-34))/((-426)/16188)? -57 Calculate (((-208)/(-455))/(-8))/(((-56)/840)/((-5)/3)). -10/7 Calculate 15/9*16684/(-215)*((-100)/80)/5. 97/3 Calculate 583/(-11)*3*(-8)/3*98/784. 53 What is (54/(-51408)*119)/((-19)/(-8))? -1/19 What is the value of 82*1*1/(-3)*29/(232/(-12))? 41 What is the value of (8/10)/(414/(-2070))? -4 Calculate (140/13965)/(176/(-396)*3/(-2)). 2/133 What is 2/(-6)*(-623)/(-1780)*-16*(-780)/14? -104 Calculate (46/148)/((-100648)/(-17504)). 2/37 What is the value of ((-2)/40)/((-2937)/(-2173380))? -37 Evaluate ((-60)/14*2/(-2))/((-422)/(-1477)). 15 Calculate 2/(((-2)/72)/(81/(-648)))*-4. -36 What is 26840/(-488)*2/(-3410)? 1/31 Calculate ((-112)/(-84)*6/20)/(10/(-1000)). -40 Evaluate (69/(-4))/(((-2700)/50)/(-54)). -69/4 (30/(-27280)*-22)/(-3)*((-8)/(-3))/1 -2/93 What is (-4)/((1552/32)/97)? -8 Evaluate ((-164214)/3041)/((-3)/(-2)). -36 Calculate (-510)/1700*(-27)/(891/(-7370)). -67 (83/((-27390)/(-198)))/(((-2)/(-12))/(120/(-18))) -24 Calculate (-19698)/(-804)*((-30)/(-21))/1. 35 Calculate 5/2*595210/19325. 77 (1917804/(-32232))/((-34)/(-28)) -49 What is the value of (16*12/120*30)/((-138)/(-46))? 16 What is (-120)/504*(24/(-750))/((-4)/(-30))? 2/35 Calculate (1/(-4))/((135/(-3600)*-12)/((-1)/(-5))). -1/9 (55/(40755/52))/((-420)/105) -1/57 90/(-5)*17010/(-2916) 105 Evaluate 44*43/(-688)*1*4. -11 What is the value of ((-4386)/559)/((-212)/(-1378))? -51 What is the value of 72/42*95/(-380)*-77? 33 Calculate (-5)/(5/((35644/(-28))/(-19))). -67 What is (-5800)/8700*42/(-44)? 7/11 Calculate ((-84)/4)/(((-315)/2)/7)*-5. -14/3 ((-90)/8)/(-3)*26896/16810*7/777 2/37 ((-3)/(-12))/(47/(-20)*(-2990)/1794) 3/47 Calculate (289/(374544/(-324)))/((-2)/((-24)/(-17))). 3/17 What is 3*6/(((-9648)/(-448))/(-67))? -56 What is (18/70)/(15/(-4)*226/(-565))? 6/35 ((72/(-96))/((-9)/(-2)))/(5/(480/6)) -8/3 What is (-5095)/4076*56/(-105)*3? 2 What is (((-3515)/1924)/95)/((-28)/(-84))? -3/52 Evaluate (((-342)/5)/3*-4*925/444)/(-2). -95 What is the value of (-1)/(4/(-3))*(-516)/10578*48/36? -2/41 Calculate (-44)/12*5*(18/85)/(297/1683). -22 What is ((-8)/341)/2*(-254)/((-266700)/(-1925))? 2/93 Calculate ((-3)/(-4))/(120/3392)*65/52. 53/2 What is the value of (((-4950)/44)/225)/((-1)/(-36))? -18 698/698*-1*(-141)/(-3) -47 Evaluate (45/(-840)*8)/(4*14/(-4704)). 36 Calculate (18/(-2)*(-335)/1005)/(16/6). 9/8 What is -3*(-240)/3*(295/15)/59? 80 Evaluate ((-5)/(-930))/(32/(2496/39)). 1/93 Evaluate (8/(-360))/((-625)/(-3750)). -2/15 Calculate (45/9)/((-10)/(-122)*(-100)/(-100)). 61 What is 60/(-18900)*-27*-42*2/((-2)/25)? 90 What is the value of (31922/26118)/(22/6)? 1/3 What is the value of 29392/(-102872)*(-98)/(-72)? -7/18 Calculate (0*19*1/114)/(-15). 0 What is (-21514)/51703*2/(-62)? 2/149 Evaluate 20/20*21/((-105)/(-190)). 38 Evaluate (18/(-8))/(((-910)/26)/(-140)). -9 Calculate ((-464)/522)/((-23)/((-966)/56))*-159. 106 Calculate (-10)/(-6)*-2*2/(30*(-6)/126). 14/3 (((-6)/10)/(2013/610))/((-85)/11) 2/85 What is ((-18)/(-21))/(6/21)*1540/(-210)? -22 Calculate (-36)/(-1*19*(-23)/(-437)). 36 Evaluate ((-63)/(-14))/(39/(-910)*7). -15 What is the value of 3/(((-494)/(-152))/((-26)/(-20)))? 6/5 What is the value of 60/(-9)*(((-189)/49)/(-1))/((-192)/(-224))? -30 What is the value of 8/296*10*14*(-7)/(-490)? 2/37 Evaluate (4/14)/((-62712)/12194). -1/18 Evaluate ((-2)/(-22))/(-187*243/(-111078)). 2/9 Calculate ((-11)/(374/(-153)))/(35/15*9). 3/14 Evaluate (-4592)/(-4592)*3/((-12)/10)*(-4)/(-65). -2/13 Evaluate ((-64)/(-492))/(152/12198*107). 4/41 (156/104)/((-10)/((-1800)/(-9))) -30 What is (-378)/945*70/(-6)*(-1650)/77? -100 ((-3)/9)/(((-518)/370)/(42/(-10))) -1 Evaluate 3/(-168)*119/(-51)*33*(-4)/(-8). 11/16 Evaluate -22*(((-10656)/384)/(-37))/(66/(-464)). 116 What is the value of 9/(-10)*(2*1)/(2214/(-1845))? 3/2 Calculate 3*20*4/(-24)*132/88. -15 Evaluate -10*(-102)/(-49725)*(-45)/18. 2/39 Calculate ((216524/1110)/(-209))/(-77). 2/165 What is 30996/11070*125/10? 35 ((-4)/126)/(11816/(-5064)) 2/147 ((-357)/(-280))/17*(3050/(-75))/61 -1/20 (-11235)/(-4494)*(16/970)/(-2) -2/97 (76/92)/((-300)/(-13800)) 38 What is the value of (210/5250*90)/(1/(-20))? -72 What is 2/((9/(-138))/((-140)/(-728)*(-78)/(-20)))? -23 Calculate (-16)/28*13*24/468*(-308)/16. 22/3 Calculate (364/35)/((1518/(-115))/33). -26 (13*2)/((-121)/(-2420)*-20) -26 Evaluate 11728/(-228696)*(-507)/4. 13/2 What is (9/(-30))/(2/4*1413/(-942))? 2/5 Evaluate ((-3267)/45)/(13695/(-12450)). 66 What is the value of ((-7)/7)/((24/(-12))/(-38))? -19 Evaluate ((-13314)/(-4536))/317*3/2. 1/72 Calculate (-28511)/20365*5/(-28). 1/4 What is (-1272)/(-64)*(-1940)/(-51410)? 3/4 What is the value of (90882/(-7128))/(17/22)? -33/2 Calculate 36/(-9)*12*(-34)/2856. 4/7 (-72)/39*3913/602 -12 ((8/2)/(-4))/(((-29568)/126)/(-32)) -3/22 Evaluate ((5/20)/((-36)/(-1872)*-143))/(4/2). -1/22 Evaluate ((-5)/(15/(-2)))/(29/(609/(-2))). -7 ((-5)/(-7))/(309200/(-1136310)) -21/8 Evaluate 65/(15925/(-840))*7. -24 Calculate ((-16)/(-32))/(989/(-73186)). -37 What is the value of (((-65)/26)/5*8)/42? -2/21 What is the value of ((-39)/((-2574)/(-22)))/(22/3168)? -48 What is (64/256)/((-34)/(-5712))? 42 What is the value of (75/360)/(((-4410)/(-56))/21)? 1/18 What is (-362340)/2196*(-1)/3? 55 What is the value of ((-48)/(-3))/((2346/68)/(-69))? -32 Evaluate (7381/(-6710)*16/(-44))/((-2)/480). -96 180/90*18/(-45)*6/4 -6/5 What is -4*(-135)/30*(-19)/((-1368)/300)? 75 What is the value of 4*(-56)/((-1680)/130)*(-3)/(-4)? 13 Evaluate (59*(-44)/(-3894))/(1/102). 68 What is the value of (-2*(-390)/(-1040))/(6/148)? -37/2 (69000/163875)/(1/304) 128 What is (-1*(-9)/(1197/28))/((-28)/(-266))? 2 Evaluate ((-165)/3)/(-11)*5/((-225)/(-378)). 42 Evaluate ((-121)/2)/((66/4)/33)*50/(-50). 121 Evaluate 1*(-3)/(-30)*(-156)/(-507)*13. 2/5 (88/(-660))/(2*(529/10)/23) -2/69 13/13*(-13)/(-3)*63/(42/14) 91 What is the value of -8*18/216*(-4)/((-40)/(-1335))? 89 What is the value of 6/12*-28*(-8)/(-28)*(-1848)/(-224)? -33 (696/1740)/(6/(-435)) -29 What is the value of (-280)/1512*(-21)/7? 5/9 Evaluate ((11/(2475/(-27)))/(9/5))/((-45)/(-27)). -1/25 (-15)/(-3)*(-17)/5525*-5 1/13 Calculate (262/393)/(5/(870/(-4))). -29 Calculate (-162)/8*16768/(-9432). 36 What is -1*-4*((-45)/(-18))/(5/(-4))? -8 What is 20/(-142)*973/(-14595)? 2/213 Evaluate ((-53436)/13176)/((-2)/(-36)). -73 Evaluate (4869/(-48690))/((-4)/(-1520)). -38 Calculate (118/28)/(((-113)/452)/((-1)/(-1))). -118/7 What is the value of 29950/(-32945)*36/10? -36/11 Evaluate ((-63)/(-2))/(50/300*-9). -21 (14/1)/(62/558*(-12)/(-4)) 42 What is the value of (3888/(-2430))/((-14)/2625*-5)? -60 828/966*(-70)/(-375) 4/25 Calculate (4*(-9)/54)/((-20)/(-36)). -6/5 Evaluate ((-78)/(-91))/(((-3)/28)/(198/(-72)*-2)). -44 (38/(-646)*-187)/1 11 Evaluate (-2)/(-3)*170/((-284750)/(-603)). 6/25 Calculate (2931/68390)/((-6)/80). -4/7 What is the value of 5*(-15*6/(-120))/(15/(-312)*-6)? 13 Calculate ((-2622)/2185)/(1*(-2)/2*-1). -6/5 Calculate ((-68200)/(-900))/31*(-
{ "pile_set_name": "DM Mathematics" }
h + 80. Suppose -h = -4*c + 2*i, -2*i + i = 3*c - 7. Suppose z + 2*z = c*f + 24, -3*z + f = -20. What is the units digit of z? 6 Let r(o) = -9*o - 1. What is the units digit of r(-7)? 2 Suppose 122 = -3*n - 28. Let p = 72 + n. Suppose 2*t - p = -2. What is the units digit of t? 0 Let q = 0 - -2. Let m = q + 8. What is the tens digit of m? 1 Let p = 59 + -41. Let g(n) = 14*n + 1. Let w be g(-1). Let a = w + p. What is the units digit of a? 5 What is the hundreds digit of 1 + 4 - (-231 - 18)? 2 Suppose 0 = -5*m - 3*i + 415, m + 0 - 83 = 3*i. What is the tens digit of m? 8 Let z(b) = 5*b + 15. What is the units digit of z(12)? 5 Let t = 1 + 1. Suppose j - 3 + 8 = 0, t*j - 5 = -n. What is the tens digit of n? 1 Suppose 20 = -3*v + 164. What is the units digit of v? 8 Let x = 14 - 12. Suppose -2*p - 22 = -x*c + 2*p, 5*c - 5*p = 45. What is the units digit of c? 7 Suppose -51 = -3*d - 6. Suppose -5*r + 22 = -2*r + 5*z, 3*r - 2*z = 8. Suppose r*x - d = -3. What is the units digit of x? 3 Let n(g) = -g**3 - 4*g**2 + g + 2. Let r be n(-4). Let s be 1/r*(-7 + -5). Let u = s + -2. What is the units digit of u? 4 Let x(l) = 26*l + 7. What is the tens digit of x(3)? 8 Suppose n - 3 = 4. What is the units digit of n? 7 Suppose -l = 2*l - 9. Suppose l*d = -2 - 1. Let m(n) = -7*n - 1. What is the units digit of m(d)? 6 Suppose 5*g + 5*l + 5 = 0, -2*g - 2*g + 32 = -5*l. Let j(w) = -w**3 + 3*w**2 + 2*w - 4. Let u be j(g). Suppose -u*s = 3 - 5. What is the units digit of s? 1 Suppose 4*y = -2*p + 40, -y + 14 + 41 = 2*p. What is the units digit of p? 0 Let t = 58 + -31. What is the tens digit of t? 2 Suppose 6 - 4 = q. Suppose 6 = -3*z - s - q, 5*z - 4*s - 15 = 0. What is the units digit of (-3)/2*(-1 + z)? 3 Suppose -3*n + 5*n - 122 = -2*c, -4 = -n. What is the units digit of c? 7 Suppose 5*n - 161 = -4*f, 5*f - 3*n - 114 = 2*f. What is the units digit of f? 9 Let o = 15 + 3. What is the tens digit of o? 1 Let z = 11 + -20. Let f be (-3)/(2*z/24). Let n(s) = s**2 - 4*s + 6. What is the units digit of n(f)? 6 Suppose -23 - 59 = -2*m. What is the tens digit of m? 4 Let c = -249 + 434. What is the tens digit of c? 8 Suppose 3*s - 3*x + 3 = 0, 2 = 2*s - 3*x - 1. Let o(c) = c**2 + 5*c - 3. What is the units digit of o(s)? 3 Suppose 0 = -5*j - w + 428, -j - 2*w + 4*w + 90 = 0. What is the units digit of j? 6 Suppose -4*y = -y + 18. Let q(z) = z**2 + 5*z - 4. What is the units digit of q(y)? 2 Suppose 0 = -5*i + 135 + 115. What is the units digit of i? 0 Let j = 28 + -27. What is the units digit of j? 1 Let m be 198/(-27) + (-2)/3. Let t = m - -10. What is the units digit of t? 2 Let f(s) = s + 1. Let l(n) = -n - 3 - 7*n + 5*n. Let i(k) = -f(k) - l(k). What is the units digit of i(2)? 6 Let w be (34*-2 - 4)*-1. Suppose 7*k = 5*k + w. What is the units digit of k? 6 Suppose -3*g + 2*g = p - 6, p = 4*g - 9. Suppose p*v = 3*t + 4*v - 25, 2*t = 2*v + 14. What is the units digit of 58/7 - t/28? 8 Let v(c) = 2 - 4*c - 2*c - 1. What is the units digit of v(-1)? 7 What is the units digit of (-1)/(-4 - (-125)/31)*-2? 2 Let x(j) be the first derivative of -j**3/3 + 9*j**2/2 - 5*j + 1. Let y = -26 + 32. What is the units digit of x(y)? 3 Suppose 234 = 3*d - 4*v + v, -2*v - 308 = -4*d. What is the units digit of d? 6 Let g(d) = -d**2 - 6*d - 5. Let c be g(-4). Let h = c + -1. What is the units digit of h? 2 Suppose -4*u + 193 = -0*u + p, -u + p = -42. What is the units digit of u? 7 Suppose 5*d - 100 = -10. Suppose 2*l = w - 3*w + d, -3*l = -3*w - 3. What is the units digit of l? 5 Let c(z) = z**3 + 9*z**2 - 14*z - 3. What is the tens digit of c(-10)? 3 Let x(p) = 20*p - 13. What is the tens digit of x(11)? 0 Let v = 52 + 162. What is the hundreds digit of v? 2 Let o = 63 + -50. What is the tens digit of o? 1 Let n be 1 + 2 + (-2)/1. Let y be -24 - (-2 + 5 - n). Let j = -17 - y. What is the units digit of j? 9 Suppose 6 = -2*o + 4*o. Let a be ((-2)/o)/(2/30). What is the units digit of (-55)/a + (-2)/4? 5 Let v be 14/3 - (-1)/3. Let g = -3 + v. Suppose 0 = -g*r + 6 + 6. What is the units digit of r? 6 Let b be 116/14 + (-6)/21. Suppose -3*c + 5*a + 19 = -b, a + 53 = 4*c. What is the tens digit of c? 1 What is the tens digit of 33/(-2)*((-3 - -4) + -5)? 6 Let u = -73 - -118. What is the units digit of u? 5 Suppose -4*g - 4 = -16. Suppose -b - 4*p + 25 = 0, 0 = -4*b + 8*b + g*p - 152. Suppose 3*l + 11 = b. What is the tens digit of l? 1 Suppose -3*t = -49 + 130. Let f(d) = -d**3 - 7*d**2 - d + 6. Let a be f(-5). Let w = t - a. What is the units digit of w? 2 Suppose 802 - 139 = 13*l. What is the units digit of l? 1 Let j(u) = u + 1. Let i be j(1). What is the units digit of i - -1 - 2 - -3? 4 What is the tens digit of (-336)/(-18) + (-6)/9? 1 Suppose 83 = 2*q + 23. What is the tens digit of q? 3 Suppose -o - 156 = 10*v - 12*v, -4*v + o + 308 = 0. What is the units digit of v? 6 Suppose 3*q = 9 - 0. Suppose -2*a - 3 - q = 0. What is the units digit of 1/a + (-28)/(-3)? 9 Suppose -7 = -6*k + 7*k. What is the units digit of (6/4)/(k/(-140))? 0 Suppose 6 = c - 0*c. Suppose -h + g - 6 = 4*h, c = h - 2*g. Let d = 9 + h. What is the units digit of d? 7 Let b be (-1)/2*(-2 + 2). Let g = 26 - b. What is the units digit of g? 6 Let k be 33/(-55) + 53/5. Let t(x) = x**3 - 10*x**2 + 13. What is the tens digit of t(k)? 1 Let i be ((-7)/(-2) + -1)*-4. Let y(o) = o**2 + 10*o + 9. What is the units digit of y(i)? 9 Let c = -1 + 3. Suppose 0*b - 2*b + c*t = 0, -3*b - 8 = -5*t. What is the units digit of b? 4 Let u be (10 + 0)*(-3)/(-6). Suppose -5*h + 2*v + u = 76, 5*v = 4*h + 50. What is the units digit of 67/3 - (-5)/h? 2 Suppose b - 3*b + 150 = 0. What is the tens digit of b? 7 Let u be -1 + 9 + (-2 - -3). What is the units digit of 3*(0 - (-21)/u)? 7 Let q be (-2)/(-8) + 7/4. Suppose -h = 2*h - 5*g - 41, 22 = q*h + 2*g. What is the tens digit of h? 1 Let x be (2 - 32/10)*5. Let w be (x/12)/(1/(-6)). Suppose -5*q = -2*f - 3*f - 55, f = -w. What is the units digit of q? 8 Suppose -10*n = -9*n - 47. What is the tens digit of n? 4 Suppose 125 = 4*g - 115. What is the tens digit of g? 6 Let u = -15 + 16. What is the units digit of -2 + 39 - (-1)/u? 8 Let h(r) = -3*r**3 - 2*r**2 - 2. Suppose 2 = -2*i + 2*k - 6, 0 = 4*i + 3*k - 5. Let y be (-1)/i*-2 + 0. What is the units digit of h(y)? 4 Let x be (51 - 1)*(-2)/(-4). What is the units digit of 90/x*10/4? 9 Let c(r) = -r**3 - 5*r**2 - 5*r + 3. Suppose 5*q - 30 = 5*b, 5*b + q + 22 = 2*q. What is the units digit of c(b)? 7 Let g = 186 - -176. What is the units digit of g? 2 Let t = 13 + -8. Suppose t*y + 4 = y. What is the units digit of (y - 0/(-2)) + 5? 4 Let j(u) = 91*u**3 + u**2 - 2*u + 2. What is the units digit of j(1)? 2 Suppose -2*x + 9 = 5. Suppose 0 = -4*s + x*s + 42. What is the units digit of s? 1 Let r = 24 + -15. What is the units digit of (-10)/3*r/(-6)? 5 Let u(r) = -r**2 - 15*r + 1. What is the units digit of u(-13)? 7 What is the units digit of (-8)/2*(-4 + -4)? 2 Let v(g) = -18*g**3 + 3*g**2 + 7*g + 2. What is the tens digit of v(-2)? 4 Let u(j) = -3*j + 4. What is the units digit of u(-13)? 3 Let v(q) = 3*q - 4. Let w be v(-4). Let t = w + 18. What is the units digit of t? 2 Suppose 2*u - 70 = -g, 0 = 4*g + u - 6*u - 241. Suppose g = 3*t + t. What is the units digit of t? 6 What is the hundreds digit of -1 - (-1 - 279)*1? 2 Let x = -115 + 219. Suppose 3*q + k - x = 0, -2*q = -2*k - 0*k - 64. What is the tens digit of q? 3 Let d(q) = -q**2 + 2*q - 1. Let r be 54/66 - (-4)/22. Let u be d(r). Let s(f) = f**2 + f + 4. What is the units digit of s(u)? 4 Let q be (-4)/3*6/(-4). Suppose 5 - q = g. What is the units digit of (4 - g) + 2*3? 7 Let s = -4 + 6. Let j(i) = 6 - i**3 + i - s - i**2 + 4*i**2. What is the units digit of j(3)? 7 Let h(f) = -f**2 + 13*f - 18. What is the tens digit of h(8)? 2 Suppose -15 = -2*x - 3*x. Suppose -x*y + 2*k + 28 = -0*k, -34 = -3*y + 5*k. What is the units digit of y? 8 Let w(a) = a**3 + 2*a + 192. What is the tens digit of w(0)? 9 Suppose 0*j + 4*v = -5*j + 33, 14 = 4*j - 3*v. Suppose z - 15 = 3*p, z + 0*p = j*p + 13. What is the units digit of z? 8 Suppose 2*l - 6 = -2. Let m = 0 - l. What is the units digit of ((-1)/m)/(4/64)? 8 Let k(r) = 3*r**2 - r. Let x be k(1). What is the tens digit of 10 + -1 +
{ "pile_set_name": "DM Mathematics" }
p be 3/w*10/3. Suppose p*x = 89 + 221. Is 31 a factor of x? True Suppose 5*b = -2*z + 43934, 2*b - 13393 = 3*z - 79313. Is 21 a factor of z? False Let h = 126 - 116. Suppose h*b - 4230 + 1260 = 0. Is 11 a factor of b? True Suppose 40*u + 27*u - 6633 = 0. Suppose -n - 3*f = -3*n + 17, 0 = -2*n - 4*f - 4. Suppose -377 = -5*s + n*p, 0 = s - 2*p - u + 26. Is s a multiple of 11? True Suppose -30*x + 14*x + 32 = 0. Suppose 4*p = -5*y + 557, -2*y + 117 = x*p - 163. Is 15 a factor of p? False Suppose 915 = 3*i - 3*p - 567, -p = -6. Is 10 a factor of i? True Let t be 1233/18 - (-7)/(-2). Suppose 29*a + 7344 = t*a. Is a a multiple of 51? True Let y(f) = 3*f**2 - 28*f - 24. Is y(-12) a multiple of 24? True Let w be 0*((-4)/8)/1 + 59. Let q = -15 + w. Is 22 a factor of q? True Let s(i) = 2*i + 54. Let x be s(-27). Suppose x*b - 10*b = -1350. Is 3 a factor of b? True Suppose -j - 62177 = -3*x, -2*x + 15*j + 41434 = 10*j. Is 63 a factor of x? True Let s = -235 + 145. Let h = 179 + s. Is h a multiple of 20? False Let s be (-1)/(155/(-25) + 6). Suppose 0 = -s*y - 4*q + 11960, 0 = y + 4*q - 2382 + 6. Is 29 a factor of y? False Suppose -14354 = -2*i - 4*u + 11756, 7 = u. Is 27 a factor of i? True Let k(c) = 206*c**3 - 66*c + 155. Is 16 a factor of k(5)? False Let c = -109 - -93. Let y be ((-79)/4 - -3)/(2/c). Let h = -101 + y. Is 2 a factor of h? False Suppose 0 = -2*r - 4, -16 = -4*q + 4*r. Suppose 4*b + 5 = 4*o + b, -q*b = -2. Is 32 a factor of o + ((-20)/(-15))/(4/186)? True Suppose 5*m + 37 = -2*l, 38 = -5*m - 7*l + 4*l. Let y(s) = -s**2 - s - 3. Let x be y(-3). Does 35 divide (x - -14)*m/(-1)? True Let b(g) be the third derivative of -g**5/30 - g**4/4 + 2*g**3/3 - 14*g**2. Let l be b(-3). Does 18 divide ((-2)/3)/(l/(-150))? False Suppose h = -3*b - 232, 5*b - h = h - 394. Let i = b + 116. Let q = i + -14. Is 8 a factor of q? True Let j be (-6)/9*(-18)/4. Suppose -5*k = -j*d + 1196, -d + 5*k = d - 789. Does 25 divide d? False Let b be -3 - -24*6/9. Suppose o = -b*o + 14112. Is 21 a factor of o? True Let d(f) = 238*f**2 - 87*f - 254. Is d(-3) a multiple of 44? False Let u(l) = l + 72. Suppose -28 + 112 = 4*z - 2*h, -5*z + 4*h + 102 = 0. Does 14 divide u(z)? False Let o = 3063 + 16333. Is o a multiple of 13? True Let b(d) = 2*d**3 + 6*d**2 - 12*d - 4. Suppose 3*n + 1 + 4 = 2*j, n + 30 = -5*j. Let w be b(n). Is 7 a factor of (-1082)/(-22) + w/242? True Suppose 4*y = 5*l - 6*l + 11262, 4*y = l + 11274. Is 198 a factor of y? False Suppose 5 + 7 = 4*q. Suppose -14*w = -45*w + 23*w + 624. Suppose 4*s + p + 4*p = 102, -q*p = 3*s - w. Is s a multiple of 28? True Suppose 3*u + 97 = -5*o + 145, -o + 4*u = -28. Suppose 3*f = o, -1721 = -3*l - 11*f + 6*f. Does 27 divide l? True Let z(d) be the third derivative of 0*d - 19*d**2 - 13/6*d**3 + 107/24*d**4 + 0. Is 36 a factor of z(3)? False Let y = -85 + 100. Let o(g) = 9*g + 57. Is 26 a factor of o(y)? False Suppose -4*p + 3*g = -5*p + 334, -5*g = 0. Is p even? True Let y(d) = d**3 - 44*d**2 + d - 180. Is y(45) a multiple of 15? True Let u(p) = -p**3 - 6*p**2 - 7*p - 8. Let z be u(-5). Let j(h) = -3*h + 39. Let f be j(0). Suppose z*o = f + 13. Is 19 a factor of o? False Let f = 285 + -242. Let x = 23 + f. Is x a multiple of 22? True Suppose 0 = -5*p + 20, -2*c + 4*c + 4*p = 3954. Suppose -4*w = 4*r - 2096, 5*r + 3*w = c + 661. Is r a multiple of 85? False Let s = 1392 - 1238. Does 7 divide s? True Does 48 divide -9 + (-60102)/(-24) + (-48)/(-64)? True Suppose 5*f - 7*f + 42 = 0. Suppose -f = l - 102. Let g = l - -109. Is g a multiple of 38? True Let r = 10981 - 4339. Is 16 a factor of r? False Let l = -178 + 178. Suppose l*o + 14*o - 3108 = 0. Is o a multiple of 22? False Let j be (-114)/(-54) - (-1)/(-9). Suppose 4*f + j*f = -24. Is (-1)/(970/(-242) - f) a multiple of 29? False Let t(g) = 145*g + 1. Let p be t(2). Suppose -14*m - p + 12387 = 0. Is m a multiple of 16? True Suppose 193643 = -22*j + 571801. Does 59 divide j? False Let k(a) = -a**3 + 10*a**2 - 10*a + 4. Let t be k(7). Let v = 37 - t. Let i = -4 - v. Does 40 divide i? True Suppose 9587 + 67078 = 15*x. Is 29 a factor of x? False Suppose -11 = -3*a + o, 8 = 3*a + a + 2*o. Suppose -a*j + 5*j - j = 0. Does 13 divide j - 27/9*142/(-3)? False Suppose -5*g = -3*h + 360, -h - h + 65 = -g. Let c be (-6 + (-105)/(-25))*-25. Let t = c - g. Is 30 a factor of t? True Let k(l) = l**3 - 9*l**2 - 38*l + 346. Is k(11) a multiple of 2? True Suppose 2 = g, -3*a + 140 - 48 = -5*g. Suppose -2*q + a = -2*p, 10 - 1 = 3*p. Suppose 15*y + 1080 = q*y. Is 38 a factor of y? False Let a(v) = v**3 - 9*v**2 + 5*v + 26. Let y be a(8). Suppose o = -5*x + 11, o = 4*x - 6*x + y. Suppose -3*h + 462 = 3*b, 7*h - x*h - 2*b = 592. Does 25 divide h? True Let d be (-6530)/14 - -2 - 48/(-112). Is 16 a factor of (-22)/(-33) + d/(-6) + 2? True Suppose -3*h - 165 = -8*h + 5*z, 0 = h + 2*z - 18. Let b = h + -26. Suppose b*v = -5*v + 105. Is 2 a factor of v? False Let s be -7 - -12 - (0 + 3). Suppose -4*f + 3277 = -v, 0 = 5*f + s*v - 1252 - 2841. Does 7 divide f? True Let l(r) = -r**3 + 18*r**2 - 16*r - 16. Let w(x) = 2*x**3 - 37*x**2 + 33*x + 30. Let f(i) = -7*l(i) - 3*w(i). Is f(16) a multiple of 8? False Suppose 5*c = -4*u + 59945, -6*u = 5*c - 41194 - 18761. Does 51 divide c? True Suppose -5*x = p + 2533, -3*p + 1003 = -2*x - 0*p. Let v = -334 - x. Is v a multiple of 10? False Let g = 21925 - 11172. Is g a multiple of 93? False Is 20 a factor of -6 + (-5 - -2) + 187509/21? True Let h(y) = -17*y + 18. Let r be -1*6*((-25)/5 - -6). Does 20 divide h(r)? True Let r = 548 + 49. Suppose -25 = 5*i, 5*k - 688 - r = 4*i. Does 23 divide k? True Suppose -4*q = 42*i - 41*i - 1951, -2*i + 3927 = 3*q. Is 72 a factor of i? False Let a be -2*((-3)/(-2) + -4) - 5. Suppose 14*q - q - 598 = a. Does 41 divide q? False Suppose -2*k + 10*z - 5*z = 15, -6 = 5*k - 2*z. Suppose k*y - 5*y = -3480. Is y a multiple of 8? True Suppose -v = 2*n - 981, 0 = 2*n + 3*n - v - 2463. Suppose -85 - 818 = 3*s. Let k = s + n. Is 34 a factor of k? False Let v(k) = 32*k - 95. Let m = -384 - -392. Is v(m) a multiple of 18? False Suppose -5*c - 5*l = -0*l - 45, l + 7 = c. Let a be (-3 - -1)/(0 - -1). Is 1032/c - (a - -1) a multiple of 13? True Let p(n) = 5*n**3 - 9*n**2 - 4*n + 48. Let r = -528 - -534. Is p(r) a multiple of 30? True Suppose -5*b + 11 + 9 = 0, -3*b + 57 = -5*o. Is 12 a factor of 9/((-6813)/(-756) + o)? True Let k(n) be the third derivative of -n**6/120 + 11*n**5/30 + 7*n**4/24 - 16*n**3/3 + 12*n**2. Suppose -4 - 6 = 2*m, -4*m - 130 = -5*j. Is k(j) a multiple of 17? False Let r be ((-1)/(-3))/((29 - 17)/180). Suppose 958 = g + r*a, -29*g + a = -32*g + 2832. Is 23 a factor of g? True Suppose -644*i - 65670 = -647*i + 3*l, 3*l + 109438 = 5*i. Is i a multiple of 13? False Let p(x) = -2*x**3 - 70*x**2 - 4*x - 138. Let l be p(-35). Suppose -l*r + 7*r = 5*d + 5745, -6 = -2*d. Is r a multiple of 72? True Suppose -2*t + 2 = 2. Suppose t = -14*v + 1275 - 71. Is v even? True Suppose -156*p + 149*p = -5579. Let s = p - 489. Is s a multiple of 21? False Suppose 3*x = -6*x + 2259. Let t = 479 - x. Does 16 divide t? False Suppose 0 = -o + 1, -293 = 2*s + o - 970. Is s - (1 - 3/1) a multiple of 34? True Suppose -2*x - 10 = -5*z - 8, 0 = 3*x - 3*z + 12. Let j(a) = 17*a**2 + 3*a - 3. Let i be j(2). Let q = x + i. Is 11 a factor of q? False Let f = 923 - 885. Suppose 2*j + 60 + f = a, 0 = 4*a - 5*j - 380. Does 18 divide a? True Let s be (-7)/4 - 84/(-48). Suppose s = -37*x + 29*x + 5392. Does 14 divide x? False Let h be (-6)/(-312)*8 - 308/(-26). Let d(t) = -4*t + 91. Is 4 a factor of d(h)? False Let x(p) = 6*p + 45*p**2 + 8 + 52*p**2 + 62*p**2 + 73*p**2. Does 40 divide x(-1)? False Suppose -130*q = -40*q - 798120. Is 100 a factor of q? False Let v(g) = -3*g + 27. Let w be v(12). Let t be w/(-2) + (-3)/6. Is 1/t - (-1180)/16 a multiple of 15? False Suppose -3*q - 4*v + 1409 = 0, 0 = -6*q + 2*q + v + 1904. Is 16 a factor of q? False Suppose -3*l = -5*j - 14970, -47*j = l - 49*j - 4992. Does 249 divide l? True Let y be (-36)/18 + 3*11. Suppose -2*v = -1 + y. Is 20 a factor of -170*(v/(-6) + -3)? False Let i = -539 - -359. Let r = 285 + i. Does 30 divide r? False Let a(w) = w**2 + w + 16. Is 13 a factor of a(-21)? False Let l be (-2)/(-6)*(2 + 18
{ "pile_set_name": "DM Mathematics" }
*m**3 + 2*m + 2*m**3 + 1 - 1. 48*m**3 + 2*m Expand (-158*g**3 + 8*g - 4 + g + 160*g**3)*(-13*g - 7*g + 11*g). -18*g**4 - 81*g**2 + 36*g Expand (191 - 96 - 186)*(i + 2*i + 2*i)*(-13*i - i + 3*i) - i**2 + 3*i**2 - i**2. 5006*i**2 Expand (-3*z**3 - 48*z + 48*z)*(-63*z + 30*z - 2 + 34*z). -3*z**4 + 6*z**3 Expand (27*o**2 - 1 + 1)*(-45 - 54*o + 45). -1458*o**3 Expand (2*t**2 + 4*t**2 - 4*t**2)*(t**2 + 3*t**2 - 3*t**2) - 4*t**4 - 67 + 67 + (2 + 2 - 3)*(-20*t**4 + t**4 - 2*t**4). -23*t**4 Expand (31 + 18 + 38)*(20*s**2 - 45*s**4 - 20*s**2). -3915*s**4 Expand (21650 + 21458 - 39052)*(2*q + 2*q**2 - 2*q). 8112*q**2 Expand (0 + h + 0 + (1 + 4 - 3)*(10*h - 28*h - 55*h) - 16*h - 1 + 1)*(1 - 2*h + 2 - 4). 322*h**2 + 161*h Expand (-4*i + 1 + 6*i + 0)*(-2551*i**2 + 942894 - 942894). -5102*i**3 - 2551*i**2 Expand (0*k**3 + 4*k**3 - 2*k**3)*(3 - 3*k - 3)*((-1 + 1 - 1)*(-3 - 1 + 0) - 25 + 60 + 52). -546*k**4 Expand (30 - 30 + 19*t)*(21*t + 13*t - 13*t). 399*t**2 Expand (-497 - 826 - 302)*(-2*n + 0*n + 2*n**2 - 4*n**2 + (n - 2 + 2)*(-4*n - 2*n + 4*n)) + 3*n**2 + 1 - 1 + (0*n + 2*n + 0*n)*(5 - 2*n - 5). 6499*n**2 + 3250*n Expand (21*o**3 - 16*o**3 - 7*o**3)*(-3 + 3 - o + (-1 + 13 + 10)*(-o + 0*o + 0*o)). 46*o**4 Expand (4 + 44*g - 14 - 43*g)*(0*g**3 - 2*g**3 + 12*g**3). 10*g**4 - 100*g**3 Expand (-9 + 3*o + 9)*(4 - 5 + 0) - 51*o - 22*o - 10*o. -86*o Expand (3 + 1 - 3)*(-1 + 5 - 6)*(k - 10*k - k). 20*k Expand (m - 3*m + 3*m)*(567*m**3 + 294 + 562*m**3 - 1126*m**3). 3*m**4 + 294*m Expand (529500*u**2 + 528555*u**2 - 1040732*u**2)*(-u + 3*u - u - 3*u + 5*u - 3*u + (-u + 0*u + 0*u)*(4 - 1 - 2) - 2*u - 2*u + 3*u). -34646*u**3 Expand (x**2 + 3 - 3)*(26 - 181*x + 23 + 28 - 73). -181*x**3 + 4*x**2 Expand 5*t**4 - 4*t**4 - 2*t**4 + (-4*t**2 - 3*t**2 + 6*t**2)*(-1065*t**2 + 1121*t**2 + 1261*t**2). -1318*t**4 Expand (-1834 + 454 - 765)*(u**3 - u**4 - u**3 + (2*u**2 + 2*u**2 - 2*u**2)*(3*u**2 - 4*u**2 + 3*u**2)). -6435*u**4 Expand (6*x - x + 0*x)*(294 - 17*x**4 - 291 - 314*x**4 - x). -1655*x**5 - 5*x**2 + 15*x Expand (2 - 39*p + 6*p - 2)*(-58 + 39 - 21)*(-5 + 1 + 0). -5280*p Expand (-9 - 5 - 63)*(-24*z**3 + 24*z**3 - 22*z**4). 1694*z**4 Expand (3 + 3 - 1 + (0 - 4 + 6)*(-3 + 5 - 4))*((-1 + 1 - 1)*(14911 + 248*j - 14911) + (2 + 4*j - 2)*(-4 + 5 + 0)). -244*j Expand (-2 - 5 + 1)*(-4*l + 3*l + 3*l)*(-276*l - 41*l - 96*l). 4956*l**2 Expand 3*g**5 + g**5 - 8*g**5 + (-2*g**2 + 4*g**2 - g**2)*(-1 + 2*g**3 + 1) + (-3*g**5 + 3*g**5 - 2*g**5)*((2 + 3 - 4)*(1 - 2 - 1) + 124 - 279 + 101). 110*g**5 Expand (-x**3 + 5*x**3 - 2*x**3)*(-9762*x**2 - 2507 - 4888 + 9764*x**2). 4*x**5 - 14790*x**3 Expand (-a + a + 3*a + (-4*a + 3*a + 2*a)*(-1 + 3 + 2))*(-5 - 2 - 1)*(-a**2 - a**2 - a**2 - 2 - 4*a). 168*a**3 + 224*a**2 + 112*a Expand (-12454 + 5941 + 5499)*(3 - 2*l - 3) + 2*l - l + 2*l. 2031*l Expand 0 - 1 + 108*v**2 - 60*v**2 + (v - 4*v - 2*v)*(5*v - 2*v - 2*v). 43*v**2 - 1 Expand (-20 + 20 - 4*k)*((-2 + 2*k**2 + 2)*(1 - 1 + 1) + (-3*k + 2*k + 3*k)*(-30*k + 76*k - 10*k))*(0*k**2 - 2*k**2 + 0*k**2). 592*k**5 Expand (6 - 5 + 1)*(-2*h + 0*h + 3*h)*(22 - 211 + 384). 390*h Expand (4*m - 3*m + m + (5*m + m - 4*m)*(-4 - 2 - 4) + 2*m - 9*m + 4*m)*(-3 + 1 + 4). -42*m Expand (-419*f - 338*f - 1515 + 1517)*(-2*f - 2*f + 3*f). 757*f**2 - 2*f Expand (w - 5*w + w + (-4 + 1 + 4)*(0*w + 0*w + 2*w))*(-12270 + 12270 + 60*w**2). -60*w**3 Expand (-573*x + 105*x - 24*x)*(x + 2*x - 5*x). 984*x**2 Expand 2*v**4 + 3*v**4 - 3*v**4 + (-3*v**3 + 3*v**3 + 2*v**3)*(0*v + v + 0*v) + (-6*v + 6*v + 3*v**3)*(-8*v + 894 + 799 + 1421 - 3839). -20*v**4 - 2175*v**3 Expand -550*x**2 + 258*x**2 - 358*x**2 + (-1 - 1 + 0)*(-4 + 4 - x**2) - x**2 + 0*x + 0*x + x**2 + x**2 + x**2 + x - 2*x**2 - x. -648*x**2 Expand -54*t - 50*t - 447*t - 86*t + (-2*t - t + 2*t)*(-1 + 2 - 2). -636*t Expand (-4 - x**2 + 4)*(-6*x - 4*x**2 + 6*x)*(-31*x + 246*x - 28*x). 748*x**5 Expand (4*x + 2*x**2 - 2*x - 4*x)*(2 - 9204*x - 7 + 11283*x). 4158*x**3 - 4168*x**2 + 10*x Expand (3 - 2 + 1 + 1 - 4 + 2 + (0 + 2 - 4)*(-2 + 3 + 1) - 5 - 4 + 5)*(2*y + 0*y - 5*y) - 56 + 26 + 18*y + 29. 39*y - 1 Expand (-g - 3*g + 2*g)*(-1 + 1 + 3*g**2) + (2 - 1 + 1)*(g - 11 + 11)*(-699*g - 5*g**2 + 699*g). -16*g**3 Expand (-607 - 2768 + 313)*(3*g + 2 - 2). -9186*g Expand (-13*x + 3 - 3)*(-4 + 1 - 2)*(1 - 2 + 3). 130*x Expand (g**3 + 0*g**2 + 0*g**2)*(3*g**2 - 3*g**2 - g**2) - 2*g**5 - 3*g**5 + 7*g**5 - g**5 - 3*g**5 + 8*g**5 + (-g + 9*g + 20*g)*(4*g**4 - 2*g**4 - 3*g**4). -23*g**5 Expand 148 + 10*r**3 - 5*r**3 - 169 + (7*r - 3*r - 3*r)*(-2*r - 3*r**2 + 2*r). 2*r**3 - 21 Expand (2*c**2 + 3*c**2 + 5*c**2)*(-4*c - 2*c + 4*c) + (3 - 2 + 1)*(-13*c**3 + c**3 - 51*c**3) + 6*c**3 - 3*c**3 + 0*c**3. -143*c**3 Expand (3*c - 3*c + 7*c**2 + (0 + 0 + 2*c)*(2*c + 0*c - 3*c))*(-2*c**2 + 20*c**2 - 84*c**2). -330*c**4 Expand ((-44*c - 71*c + 29*c)*(0 - 3 + 5) - c + 3*c - c)*(c**2 - 2*c + 2*c). -171*c**3 Expand -3*a**2 + a**4 - 24 + 22 - 2*a**4 + 4*a**3 - 4*a**3 - 8*a**4 + (5*a**2 + a**2 - 2*a**2)*((-4*a + 5*a + 4*a)*(3*a - 3*a - a) + 3*a**2 + 0*a**2 - 2*a**2). -25*a**4 - 3*a**2 - 2 Expand (-194 + 166 - 77)*(-493 + 6*p - 7*p + 772). 105*p - 29295 Expand 126*r**2 - 13*r**2 - 7*r**2 + (0*r - 2*r + 3*r)*(-2 + r + 2) + (r + 0*r + r)*(-r + 4 - 4) + 14*r**2 + 122 - 122. 119*r**2 Expand (2 - 3*x**2 - 2)*(388 - 408 - 537 - 990). 4641*x**2 Expand -s**2 + 5*s - 5*s + (0 - 2*s**2 + 0)*(4 - 1 - 5) + 0*s**2 - 3*s**2 + 2*s**2 + (-2*s - 3*s + 0*s)*(-91*s + 71*s + 109*s)*(3 + 0 - 4). 447*s**2 Expand (-3*c**3 + 2*c**4 + 3*c**3)*(6 - 4 - 16*c + 2*c + (0 - 3 + 2)*(-2*c - 2*c + 6*c) + c - 4 + 7 - 2*c - 5*c + 3*c - 4*c). -46*c**5 + 10*c**4 Expand (-8 - 3088*r**3 - 1714*r + 3087*r**3 + 7)*(-2 - 1 - 2). 5*r**3 + 8570*r + 5 Expand (716*x**2 + 985*x**2 - 435*x**2)*(5*x**2 - x**2 - 3*x**2 + 1 + 2*x**2 - 1 + (2*x**2 - 5*x**2 + 4*x**2)*(-2 + 3 - 2)). 2532*x**4 Expand (-195*z**4 + 198*z**2 - 198*z**2)*((3 - 5 + 5)*(5*z - 4*z - 2*z) + 4 - z - 4 + 3*z - z - z). 585*z**5 Expand (-3*t**2 + 5*t**2 + 3*t**2)*(6 + 3 + 0) + 0*t**2 + 0*t**2 + 2*t**2 - 2*t + t**2 + 2*t + (-2 + 2 - 1)*(-t**2 - t**2 + t**2) + t**2 + 0*t**2 + 12*t**2. 62*t**2 Expand (-14 + 14 - q**2)*(5*q**2 - 2*q**2 - 5*q**2) - 51*q**4 + q + 0*q + 15*q**4. -34*q**4 + q Expand (1053 + 644 + 250)*(-4*s**5 - 17*s + 17*s). -7788*s**5 Expand ((65 - 177 - 50)*(3*a**2 + a**2 - 5*a**2) + (-2 + 6 - 3)*(7*a**2 - a**2 - 3*a**2))*(-4*a**3 - a**3 + 4*a**3). -165*a**5 Expand (6 + 8 + 1)*(7 - 3 + 0)*((28 + 19 - 29)*(3 - 3 + 2) + 0 - 3 - 1)*(-2*b**2 - b**2 + b**2). -3840*b**2 Expand (3*o + 4*o - 3*o - o)*(-3 + 0 + 1)*(-4994 - 201*o + 4994). 1206*o**2 Expand -971270 + 971270 + 126*i**3 + (-2*i**3 - 4*i**3 + 4*i**3)*(2 + 0 + 0). 122*i**3 Expand (-128*u + 94*u + 63*u)*(1 + 2 - 2)*(-u**3 + 4*u**3 - u**3). 58*u**4 Expand (10*d - 12 + 12)*(44*d**3 - 8*d**2 - 32*d**3 - 35*d**3). -230*d**4 - 80*d**3 Expand (-5 + 3 + 0)*(3*v**4 + 0*v**4 - v - v**4) + (10*v + 0*v + 0*v)*(181*v**3 + 20018*v - 20018*v). 1806*v**4 + 2*v Expand 9*u**2 - 9*u**2 + 4*u**3 + ((-2 + 0 + 1)*(-2*u - 2*u + 3*u) + 210 + 32*u - 210)*(2*u**2 - 3*u**2 - u**2). -62*u**3 Expand ((z**3 - 5*z**3 + z**3)*(0 + 4 - 2) + (-3*z - z + 3*z)*(7*z**2 + 3*z - 3*z))*(z**2 - 5*z**2 - z**2). 65*z**5 Expand (8 + 13 - 20 - 2*o)*(-3 + 3 - 10*o**2 + (-o + 4*o - 2*o)*(4*o - 4*o + o) + 3*o**2 + 2*o**2 - 4*o**2) - 5*o**3 + 27*o**3 + 3*o**3. 41*o**3 - 8*o**2 Expand (3*j - 4*j + 3*j)*(-2*j - 4*j + 4*j) + (j**2 - 8*j**2 + 6*j**2)*(-14 - 41 - 2). 53*j**2 Expand -97*b**3 + 110*b**3 + 164*b**3 + (-2*b - b - 3 + 2*b)*(-b**2 + 2*b**2 + 2*b**2). 174*b**3 - 9*b**2 Expand 0*k**3 - 2*k**4 + 0*k**3 + (-62*k - 160*k - 207 + 207)*(-5*k**3 + 5*k**3 - 3*k**3). 664*k**4 Expand -1 + 1 - 3*o + (2 - 2 + 2)*(-3*o + 3*o - o) - 16*o - 21*o + 76 + 36*o. -6*o + 76 Expand (-1 - 2 + 5)*(-71*p - 2398 + 2398) - 25*p + 22 - 22 + (3*p - 3*p - p)*(-1 - 1 + 3). -168*p Expand -7*f**3 + f**3 + 3*f**3 - 5 + 58*f**3 + 15 - 59*f**3 + (-5*f**2 - 2 + 2)*(-2 + f + 2). -9*f**3 + 10 Expand (-5 - 18 - 11)*(41 + 14 + 5)*(-4 - 1 + 3)*(-2 + 2 - l**3). -4080*l**3 Expand ((-2 + 6 - 2)*(3 + 2*f - 3) + 0*f - 5*f + 4*f + 7*f - 4*f - 2*f + 2*f - 3*f + 0*f)*(-10 + f - 7*f + 9)*(-10 - 5*f + 10). 90*f**3 + 15*f**2 Expand 197*q**2 - 22*q - 2096*q**3 + 2098*q**3 - 194*q**2 + (-q - q + 0*q)*(-4*q - 3*q**2 + 4*q).
{ "pile_set_name": "DM Mathematics" }
ut replacement from ffeee? 3/5 Calculate prob of picking 2 m, 1 z, and 1 o when four letters picked without replacement from zmomomogmmmzzzzmzgg. 63/646 Three letters picked without replacement from lkkklkkukgukuuk. What is prob of picking 1 g, 1 l, and 1 u? 8/455 Two letters picked without replacement from ppbppbphhbpp. Give prob of picking 2 p. 7/22 What is prob of picking 1 h, 1 p, and 2 i when four letters picked without replacement from {p: 1, g: 1, i: 8, h: 1, b: 4}? 4/195 Two letters picked without replacement from {u: 1, e: 3, f: 3, d: 1, z: 1, c: 2}. What is prob of picking 1 c and 1 e? 6/55 What is prob of picking 1 p, 2 l, and 1 j when four letters picked without replacement from {l: 3, p: 1, j: 1}? 3/5 Calculate prob of picking 2 g when two letters picked without replacement from hghhwgghhg. 2/15 What is prob of picking 1 o and 1 h when two letters picked without replacement from {h: 2, o: 7}? 7/18 Three letters picked without replacement from anllalanlall. What is prob of picking 1 n and 2 l? 3/22 Two letters picked without replacement from tnvveddk. Give prob of picking 1 e and 1 n. 1/28 Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {p: 3, e: 5, x: 3}. 3/11 What is prob of picking 1 z and 1 j when two letters picked without replacement from jzzthtk? 2/21 Three letters picked without replacement from ejnqoloqeljo. Give prob of picking 1 q, 1 l, and 1 o. 3/55 Two letters picked without replacement from {s: 1, r: 2, w: 7}. Give prob of picking 1 s and 1 r. 2/45 Two letters picked without replacement from {z: 2, s: 9, m: 5, h: 2}. Give prob of picking 1 s and 1 h. 2/17 Four letters picked without replacement from hbuhhbbhkhs. Give prob of picking 1 k, 2 h, and 1 u. 1/33 Four letters picked without replacement from {g: 2, n: 16}. Give prob of picking 2 g and 2 n. 2/51 Calculate prob of picking 1 a, 1 g, and 1 t when three letters picked without replacement from taang. 1/5 What is prob of picking 1 s and 3 u when four letters picked without replacement from {s: 2, u: 3, n: 4}? 1/63 Three letters picked without replacement from fpipjfipjcpcjpp. Give prob of picking 1 c and 2 p. 6/91 Three letters picked without replacement from {f: 3, g: 4, j: 1, p: 1, t: 3, n: 3}. What is prob of picking 2 t and 1 n? 9/455 Two letters picked without replacement from xwwwwxxwxwxwwxwxxwx. What is prob of picking 2 w? 5/19 What is prob of picking 2 k when two letters picked without replacement from {k: 2, e: 4, f: 4, n: 4}? 1/91 Four letters picked without replacement from deddedddde. What is prob of picking 1 d and 3 e? 1/30 What is prob of picking 2 y, 1 g, and 1 j when four letters picked without replacement from {g: 3, d: 1, j: 4, y: 2}? 2/35 What is prob of picking 1 c and 1 p when two letters picked without replacement from {z: 1, c: 1, p: 16}? 16/153 Calculate prob of picking 3 l and 1 e when four letters picked without replacement from {e: 1, l: 16, m: 3}. 112/969 What is prob of picking 2 x when two letters picked without replacement from ksxkoxxkoo? 1/15 Calculate prob of picking 2 c and 1 z when three letters picked without replacement from cwwccycwmmmyzmcc. 3/112 Calculate prob of picking 2 f, 1 o, and 1 s when four letters picked without replacement from {f: 4, o: 1, d: 1, s: 5}. 1/11 Calculate prob of picking 1 t and 1 c when two letters picked without replacement from odottddxcjjd. 1/33 Four letters picked without replacement from ccgcccgcccccgc. What is prob of picking 3 c and 1 g? 45/91 Three letters picked without replacement from {h: 14, t: 5}. Give prob of picking 1 h and 2 t. 140/969 Two letters picked without replacement from yyyyyyysyysyyysyyys. Give prob of picking 2 s. 2/57 Three letters picked without replacement from otootottyr. Give prob of picking 1 o, 1 r, and 1 y. 1/30 Calculate prob of picking 1 o and 1 u when two letters picked without replacement from jmjmmumwmo. 1/45 Four letters picked without replacement from {x: 1, y: 1, v: 3, q: 3, k: 6}. What is prob of picking 1 x, 1 k, and 2 v? 18/1001 Calculate prob of picking 1 l and 1 o when two letters picked without replacement from {l: 3, h: 1, o: 1}. 3/10 Four letters picked without replacement from {j: 4, l: 4, x: 2, r: 5, h: 1}. What is prob of picking 3 j and 1 r? 1/91 Two letters picked without replacement from nfnfnnnffnx. What is prob of picking 1 x and 1 f? 4/55 What is prob of picking 1 j and 1 z when two letters picked without replacement from tvctttzjjzvtcjjtvj? 10/153 Calculate prob of picking 4 c when four letters picked without replacement from {c: 7, g: 7}. 5/143 Three letters picked without replacement from {v: 1, p: 4, e: 3, o: 2}. What is prob of picking 2 o and 1 e? 1/40 Three letters picked without replacement from {e: 1, l: 2}. What is prob of picking 3 l? 0 Calculate prob of picking 2 o and 2 l when four letters picked without replacement from {o: 16, l: 2}. 2/51 Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {i: 1, o: 1, d: 1}. 1/3 Four letters picked without replacement from {j: 4, i: 1, v: 5, s: 3, l: 4, u: 1}. What is prob of picking 2 j, 1 s, and 1 i? 1/170 Three letters picked without replacement from {w: 2, k: 1, i: 2}. What is prob of picking 1 i and 2 w? 1/5 Four letters picked without replacement from mmmllmrmmm. Give prob of picking 4 m. 1/6 Four letters picked without replacement from wswwswwwwwwww. Give prob of picking 2 s and 2 w. 1/13 Calculate prob of picking 2 s when two letters picked without replacement from sssss. 1 Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {c: 1, v: 1, f: 1}. 1/3 Four letters picked without replacement from {z: 11, b: 2}. What is prob of picking 2 z and 2 b? 1/13 What is prob of picking 1 s and 1 o when two letters picked without replacement from {o: 1, i: 1, s: 3}? 3/10 Three letters picked without replacement from {r: 2, w: 2, m: 1, v: 3, s: 4}. Give prob of picking 2 s and 1 m. 3/110 Two letters picked without replacement from {v: 2, l: 17}. Give prob of picking 1 l and 1 v. 34/171 What is prob of picking 3 k and 1 d when four letters picked without replacement from {d: 6, k: 4}? 4/35 Two letters picked without replacement from {q: 1, l: 2, a: 1, w: 3, i: 4}. What is prob of picking 1 i and 1 a? 4/55 Three letters picked without replacement from essshsh. What is prob of picking 1 h, 1 e, and 1 s? 8/35 Four letters picked without replacement from lpqspqqssp. What is prob of picking 1 p, 2 s, and 1 l? 3/70 What is prob of picking 4 z when four letters picked without replacement from zjzzzjzzzzz? 21/55 Calculate prob of picking 3 x and 1 b when four letters picked without replacement from xxbbxbbbbbxxxx. 35/143 Two letters picked without replacement from yyyymyyqgyyqyugyq. What is prob of picking 1 u and 1 y? 5/68 Two letters picked without replacement from ululbulull. Give prob of picking 1 u and 1 b. 4/45 What is prob of picking 1 v, 2 g, and 1 j when four letters picked without replacement from {j: 1, g: 3, v: 3}? 9/35 Calculate prob of picking 2 y and 1 e when three letters picked without replacement from lfyleyfefffl. 1/110 Calculate prob of picking 2 t when two letters picked without replacement from hhhhthhhtht. 3/55 Two letters picked without replacement from {a: 1, l: 6, b: 10}. What is prob of picking 1 l and 1 a? 3/68 Two letters picked without replacement from rrxrxxxrrxrrxxrrxxrr. What is prob of picking 2 x? 18/95 Four letters picked without replacement from {e: 4, o: 2, s: 3, d: 3, k: 4, c: 2}. Give prob of picking 1 k, 1 d, and 2 s. 1/85 Two letters picked without replacement from rwkwmkwrwwwww. What is prob of picking 1 k and 1 w? 8/39 What is prob of picking 3 a when three letters picked without replacement from {s: 2, a: 4}? 1/5 What is prob of picking 1 f and 1 z when two letters picked without replacement from {y: 4, i: 1, f: 1, w: 1, q: 1, z: 4}? 2/33 Two letters picked without replacement from hhkhhlhrhflhhfhkhlhh. Give prob of picking 1 f and 1 h. 12/95 Three letters picked without replacement from {r: 9}. What is prob of picking 3 r? 1 What is prob of picking 3 p and 1 k when four letters picked without replacement from kkpppkk? 4/35 Four letters picked without r
{ "pile_set_name": "DM Mathematics" }
= -2*f**2 - f - 16. Determine w(0). -16 Let q(u) = -20*u**3 + u**2 + 2*u - 2. Determine q(1). -19 Let g(y) = 97*y + 8. Calculate g(-2). -186 Let b(h) = 5*h - 86. Calculate b(18). 4 Let g(r) = r + 10. Give g(-10). 0 Let x(m) = -m**2 - 3*m + 11. Calculate x(-7). -17 Let y(g) = -2*g**2 + 2*g + 49. What is y(6)? -11 Let k(j) = -j**3 - 16*j**2 - 38*j + 19. What is k(-13)? 6 Let r(t) = -t**3 - 3*t**2 + 5*t - 5. Calculate r(4). -97 Let j(d) = -d + 16. Give j(12). 4 Let t(b) = -2*b**2 - 4*b + 4. What is t(-6)? -44 Let x(d) = 3*d**3 + 16*d**2 + 4*d + 12. Determine x(-5). 17 Let o(k) = k**3 - 4*k**2 - 9*k + 6. Determine o(6). 24 Let d(w) = -7*w - 2. What is d(1)? -9 Let a(t) = -t**2 + 5*t + 1. Give a(9). -35 Let g(x) = 2*x**3 - 3*x + 2. Calculate g(1). 1 Let m(p) = p**2 - p + 18. What is m(0)? 18 Let v(p) = p + 5. Calculate v(-5). 0 Let p(w) = -w + 7. What is p(4)? 3 Let f(w) = 20*w**3 - 3*w + 3. Give f(1). 20 Let z(b) = -b**3 - 7*b**2 + 19*b + 1. What is z(-9)? -8 Let r(p) = -97*p**3 - 2*p**2 - p. Calculate r(-1). 96 Let j(o) = -14*o - 83. Determine j(-6). 1 Let r(m) = -m**3 + 7*m**2 + 29*m + 9. What is r(10)? -1 Let l(m) = -m**2 - 12*m - 3. Calculate l(-9). 24 Let o(d) = -24*d + 1. Give o(1). -23 Let u(h) = -h - 7. Calculate u(-2). -5 Let k(t) = 11*t - 56. Give k(6). 10 Let k(r) = 2*r**2 + 18*r + 27. What is k(-7)? -1 Let y(v) = 55*v - 283. Calculate y(5). -8 Let n(x) = -x**2 - 8*x + 13. Calculate n(-5). 28 Let g(j) = -46*j + 1. Calculate g(1). -45 Let g(t) = 31*t + 4. What is g(-4)? -120 Let n(z) = -z + 37. Calculate n(-16). 53 Let j(f) = -5*f**2 + 15*f - 28. What is j(2)? -18 Let c(l) = l**2 + 53*l + 243. Give c(-48). 3 Let p(s) = s**2 - 4*s - 10. Determine p(7). 11 Let z(t) = -t**2 - 3*t + 1. Give z(-6). -17 Let v(n) = 3*n**2 - 11*n + 25. What is v(2)? 15 Let g(s) = s**2 - 9*s - 16. Calculate g(11). 6 Let s(g) = 2*g**2 + 6. Determine s(6). 78 Let w(k) = -k**2 - 1. Calculate w(0). -1 Let m(q) = -q**2 + 14*q - 7. Determine m(8). 41 Let r(y) = -4*y - 21. Calculate r(-9). 15 Let b(v) = 6*v + 53. What is b(-10)? -7 Let l(s) = -s**3 - 4*s**2 - 2*s - 9. What is l(-4)? -1 Let h(f) = -2*f**3 + 33*f**2 - 18*f + 11. What is h(16)? -21 Let h(a) = 7*a**3. Determine h(2). 56 Let t(p) = 2*p**2 - 67*p + 209. Give t(30). -1 Let a(v) = -v + 23. Calculate a(16). 7 Let m(f) = f**3 - f**2 + 2*f + 4. Determine m(-4). -84 Let h(l) = 7*l**2 + 400*l + 49. Determine h(-57). -8 Let h(b) = 7*b**2 - 92*b + 33. Calculate h(13). 20 Let o(p) = -p + 18. Give o(14). 4 Let i(l) = 17*l - 18. Determine i(2). 16 Let x(w) = -2*w. Calculate x(5). -10 Let l(t) = -t**3 - 26*t**2 + 2*t + 48. Calculate l(-26). -4 Let n(j) = -j**3 - 2*j**2 - 3*j. Determine n(-4). 44 Let r(o) = o**2 + 44*o - 12. What is r(-44)? -12 Let t(w) = -6*w + 26. Determine t(3). 8 Let d(x) = -15*x - 87. Determine d(-6). 3 Let n(z) = -25*z + 9. Determine n(-8). 209 Let p(d) = -d**2 + 5*d - 5. Determine p(1). -1 Let n(k) = 2*k. Give n(15). 30 Let p(q) = -32*q + 1. Give p(2). -63 Let t(b) = -b - 29. Give t(-12). -17 Let o(b) = b**2 + 13*b + 32. Determine o(-11). 10 Let o(u) = 5*u - 2. Determine o(-3). -17 Let d(r) = -7*r + 89. Determine d(11). 12 Let p(q) = q**3 + 5*q**2 + 3*q + 4. Give p(-4). 8 Let b(f) = 12*f - 85. Give b(6). -13 Let w(c) = -3*c + 4. Give w(5). -11 Let v(p) = -p**2 + 21*p - 108. Give v(9). 0 Let n(a) = 2*a**3 + 9*a**2 + 2*a - 6. Determine n(-2). 10 Let b(k) = -k**2 + 14*k - 53. Calculate b(7). -4 Let z(a) = a**2 - 13*a - 4. Give z(13). -4 Let s(m) = 25*m + 2. Give s(1). 27 Let u(i) = 69*i**3 - i**2 + 2*i - 2. Calculate u(1). 68 Let m(y) = -y**3 + 6*y**2 + 25*y - 2. What is m(-3)? 4 Let z(c) = -3*c - 7. Calculate z(-11). 26 Let n(z) = 28*z + 74. Calculate n(-3). -10 Let c(f) = -f**3 - f - 1. What is c(-2)? 9 Let v(o) = -o - 17. What is v(-22)? 5 Let y(s) = -s**3 + 7*s**2 - s + 10. Give y(7). 3 Let z(y) = 6*y**2 - 49*y + 9. What is z(8)? 1 Let p(j) = 7*j**2 - 85*j + 10. What is p(12)? -2 Let m(v) = 24*v + 846. Calculate m(-35). 6 Let q(k) = k**3 + 7*k**2 - 6*k - 14. Calculate q(-7). 28 Let d(k) = k**2 - 15*k - 10. Determine d(16). 6 Let f(q) = -q**2 + 9*q - 7. Determine f(8). 1 Let p(b) = b**2 + 11*b + 3. What is p(-7)? -25 Let d(m) = -2*m**3 - 2*m + 6. Determine d(-3). 66 Let c(y) = y**2 + 10*y + 1. Determine c(-5). -24 Let y(f) = 3*f + 1. Give y(-3). -8 Let x(l) = l**3 + 31*l**2 - 39*l - 107. Give x(-32). 117 Let q(a) = a + 3. Give q(6). 9 Let h(d) = d**2 - 41*d + 158. Calculate h(37). 10 Let c(q) = -11*q**2 - q. Calculate c(1). -12 Let w(n) = -n**2 - 4*n + 8. What is w(-8)? -24 Let f(d) = d**3 + 7*d**2 - d + 19. Give f(-7). 26 Let u(l) = 3*l**3 + 3*l**2 - l - 2. What is u(-2)? -12 Let p(x) = -11*x**2 + x + 5. Calculate p(3). -91 Let a(s) = 2*s - 48. What is a(-20)? -88 Let m(k) = 21*k - 113. Calculate m(6). 13 Let n(y) = y**2 - 5*y + 1. What is n(5)? 1 Let w(j) = j**3 - 20*j**2 + 86*j - 18. Give w(14). 10 Let a(q) = q**2 + 38*q - 76. Calculate a(2). 4 Let i(m) = m**2 - 10*m + 3. Calculate i(0). 3 Let y(u) = u**3 + 10*u**2 - 5*u + 15. Give y(-11). -51 Let a(n) = n**3 + 28*n**2 - 30*n - 30. Calculate a(-29). -1 Let v(f) = f**3 - 5*f**2 - 9*f + 22. Determine v(6). 4 Let w(o) = 3*o + 9. Determine w(-3). 0 Let x(s) = 4*s**3 - 4*s**2 + 5*s - 1. What is x(1)? 4 Let g(j) = -j**3 - 3*j**2 + 4*j - 1. Give g(-4). -1 Let l(x) = 5*x - 26. Calculate l(12). 34 Let s(q) = -q**3 - 4*q**2 + 9*q - 14. Calculate s(-6). 4 Let f(t) = 2*t**2 - 3*t - 4. Determine f(0). -4 Let x(r) = -28*r**3 + r**2 + r. Calculate x(-1). 28 Let r(m) = 7*m**3 - 2*m**2 + 24*m - 23. Calculate r(1). 6 Let t(h) = h**2 - 18*h + 9. Give t(12). -63 Let l(q) = -q**2 - 2*q + 46. Calculate l(-8). -2 Let w(k) = -k**2 - 21*k - 26. What is w(-20)? -6 Let r(m) = 8*m + 1. Calculate r(1). 9 Let c(t) = 4*t + 13. Give c(13). 65 Let q(j) = 2*j**3 + 19*j**2 + 10*j + 12. What is q(-9)? 3 Let h(w) = -w**3 - 23*w**2 + w - 6. Calculate h(-23). -29 Let t(f) = -2*f**2 - 34*f + 170. What is t(4)? 2 Let i(f) = -f**3 + 2*f**2 - 3*f + 5. Determine i(3). -13 Let s(n) = -5*n**3 - n**2 + n - 3. Give s(2). -45 Let p(z) = -12*z - 127. What is p(-11)? 5 Let g(r) = -r**2 - 10*r + 62. Give g(-14). 6 Let z(v) = -2*v**3 - 5*v**2 + v + 9. Determine z(-3). 15 Let m(i) = i**2 + 4*i - 9. What is m(-5)? -4 Let i(j) = -7*j + 41. What is i(6)? -1 Let k(v) = v**2 + 7. Determine k(-6). 43 Let y(k) = -k**3 + 20*k**2 - k + 33. Determine y(20). 13 Let v(c) = c**2 + 22*c + 2. Determine v(-21). -19 Let d(i) = -i**3 - 12*i**2 - 16*i - 1. Determine d(-11). 54 Let b(u) = 11*u - 14. What is b(4)? 30 Let i(j) = 13*j + 1. Give i(1). 14 Let k(v) = -v**3 + 4*v**2 + 13*v - 4. What is k(8)? -156 Let s(a) = a**3 - a**2 - 12. Determine s(0). -12 Let r(n) = 5*n**3 + 2*n**2 + 7*n + 16. Give r(-2). -30 Let a(u) = -6*u - 6. Give a(-2). 6 Let z(c) = 2*c - 32. Give z(5). -22 Let u(g) = -g**2 - 30*g - 114. Calculate u(-25). 11 Let z(r) = 7*r - 38. What is z(6)? 4 Let w(f) = -f**2 + f + 14. Calculate w(-7). -42 Let c(p) = -p**2 + p + 8. Calculate c(0). 8 Let p(u) = 19*u**2 - 3*u + 7. What is p(2)? 77 Let x(p) = p**3 + 3*p**2 + p - 4. Give x(-3). -7 Let d(f) = 2*f + 7. Give d(-3). 1 Let a(s) = -4*s - 86. Calculate a(-20). -6 Let q(w) = -21*w**2 + 1. What is q(1)? -20 Let o(l) = -7*l - 108. Give o(-9). -45 Let m(a) = 6*a**2 - 276*a + 7. Give m(46). 7 Let a(k) = -k**2 + k + 25. What is a(-9)? -65 Let s(t) = 4*t**2 + 2*t + 1. What is s(-1)? 3 Let z(w) = w**3 - 11*w**2 + 8*w + 12. Determine z(10). -8 Let q(j) = -j**3 + 14*j**2 - 10*j + 17. Give q(13). 56 Let n(a) = 3*a**2 + 37*a + 101. Determine n(-3). 17 Let m(v) = -v**3 - 12*v**2 - v - 5. What is m(-12)? 7 Let g(f) = -f**2 + 8. Give g(5). -17 Let d(v) = -v**3 - 4*v**2 + 11*v + 43. What is d(-4)? -1 Let o(l) = l + 24. Determine o(-12). 12 Let n(h) = -h**2 + 10*h + 96. Give n(-6). 0 Let t(o) = -o**3 - 7*o**2 - 2*o - 1. Calculate t(-4). -41 Let c(f) = 2*f**2 - 7*f. Determine c(-5). 85 Let g(i) = -i**3 + 12*i**2 + 12*i + 8. Give g(13). -5 Let h(z) = -4*z + 145. Give h(38). -7 Let c(i) = 3*i**2 - 2*i - 2. What is c(-1)? 3 Let o(h) = -h**3 + 5*h**2 - 5*h - 5. What is o(5)? -30 Let v(y) = y**3 + 14*y**2 + 2*y + 18. Determine v(-14). -10 Let v(b) = b - 10. Determine v(8). -2 Let y(n) = -5*n - 7. Give y(-4). 13 Let s(i) = i - 11. Calculate s(-10). -21 Let q(a) = -14*a + 11.
{ "pile_set_name": "DM Mathematics" }
1). -1 Let w be 1*((-2)/(-7) + (-38)/(-14)). Let y(s) be the third derivative of -s**4/4 + 2*s**3/3 + 433*s**2. Give y(w). -14 Let y(n) = 1653*n**2 - 828*n**2 + 9 + n**3 - 3 - 33 - 830*n**2 - 3*n. Give y(6). -9 Let q(a) = -a**2 + 9*a + 4. Let x(y) = -73*y - 949. Let c be x(-13). Give q(c). 4 Let t(m) = m**3 - 5*m**2 + 4*m + 5. Let u = 148 + -258. Let b = -106 - u. Give t(b). 5 Let o(f) = 4*f**2 + f - 2. Let x be o(1). Let z(a) be the second derivative of -1 + 2*a - 3/2*a**2 - 2/3*a**3. Give z(x). -15 Let q(t) = -7*t + 1. Let n(c) = 15*c - 2. Let k(h) = 4*n(h) + 7*q(h). Let z be (-1)/(-6) - (-69)/18. Suppose -2*f + 8 = 0, -z*s - 5*f + 6 = -10. Determine k(s). -12 Let x = 80 + -76. Suppose -x*v = 2*q, 4*v + 6 = -q + 4. Let h(a) = -12 + 5 + 3*a**q + 5. What is h(2)? 10 Let x = -21 + 29. Let c(i) be the first derivative of -i**6/360 + i**5/15 - i**4/6 - 13*i**3 - 38. Let r(u) be the third derivative of c(u). Calculate r(x). -4 Let q(o) = o**3 + 15*o**2 + 19*o - 7. Suppose -36*u - 3 = 481 + 20. Determine q(u). -77 Let o(w) = w**3 - 3*w**2 + 10*w - 2. Let u(n) = 2*n**2 - 3*n. Let p(x) = -2*o(x) - 6*u(x). What is p(-4)? 44 Let t = -1206 - -1192. Let l(i) = -i**2 - 12*i - 12. Give l(t). -40 Let v(t) = t**2 - 7*t - 16. Let m(u) = -302*u + 4539. Let a be m(15). Give v(a). 2 Let x(y) be the first derivative of -y**3/3 - 5*y**2 + 9*y - 8782. Suppose -j - 8 = 3. What is x(j)? -2 Let d(k) = -k**2 + k + 4. Let l(s) = 8 - 5 - 1 - 1. Let o(h) = d(h) - 3*l(h). Let t be o(-2). Let f(g) = -g**2 - 7*g - 2. What is f(t)? 8 Let j(f) = 8 + f + 0 + 1. Suppose 230*y = -5*o + 231*y, -o + y = 0. What is j(o)? 9 Let k(l) = -l**2 + l. Let n(b) = -13*b**2 + 4*b. Let i be 2/(-11) - 4/(-22) - 5. Let t(s) = i*k(s) + n(s). Let w be 0 - (5 - 0) - -4. Calculate t(w). -7 Let t(v) = -3*v**2 + 4*v - 5. Let s(l) be the first derivative of -4*l**3/3 + 2*l**2 - 5*l - 8. Let m(i) = -4*s(i) + 5*t(i). Determine m(-4). -5 Let w be -21 + ((-21)/63 - 88/(-12)). Let p(s) = s**2 - 2*s - 228. Give p(w). -4 Let r(s) be the second derivative of s**3/3 + 11*s**2/2 + 11*s - 15. Determine r(18). 47 Let k(t) = t**3 - 5*t**2 - 5*t - 5. Suppose 0 = -18*a - 3*a + 3*a. Let o be (-2 + (-4 - a))/(-10 + 9). Determine k(o). 1 Let q be 6*2/(-8)*-6. Suppose 88 = -q*v - 2*v. Let r(i) = -2*i - 19. Let l be r(v). Let k(z) = z - 3. Give k(l). -6 Let k(x) = x**3 + 17*x**2 - x - 23. Let d(y) = 100*y - 1017. Let v be d(10). What is k(v)? -6 Let j(s) = -9*s - 104. Suppose -m - 4*r + 28 = 74, 3*r = m - 10. Calculate j(m). 22 Let x(o) = -o**2 + 4*o - 9. Suppose 0 = 2*t - 37 + 27. Suppose -25 = -5*l + 5*d, 8*l - t = 7*l + 3*d. What is x(l)? -14 Let u(w) = -17*w**3 + 46*w**2 + 28*w - 12. Let z(o) = 5*o**3 - 14*o**2 - 9*o + 4. Let p(g) = -2*u(g) - 7*z(g). Let q be -14*(-8 - -3)/10. Calculate p(q). -4 Let l be -3*-1*4/3. Let g = 6 - l. Let c(b) = 49*b - 12*b + 13 - 27 + 13 - 16*b - 18*b. Calculate c(g). 5 Suppose 4*l - 331*b + 329*b - 6 = 0, 1 = -3*l - 4*b. Let p(a) = -a + 1. Let k(c) = 4*c - 5. Let r(h) = 2*k(h) + 9*p(h). Give r(l). -2 Let x(h) = 9*h**2 - 14*h + 31. Let p(y) = -10*y**2 + 14*y - 32. Let k(t) = -8*p(t) - 9*x(t). Give k(7). 26 Let p be ((-273)/156)/(1/(-120)). Let x = p - 206. Let n(i) = i**2 - 3*i + 1. Determine n(x). 5 Let g(k) = 6*k**2 + 2 + 3*k + 5 - 5*k**2. Let o be (36/45)/((-20)/150). Give g(o). 25 Let f(d) = 2*d**2 - 33*d - 31. Suppose 936 = 62*q - 10*q. What is f(q)? 23 Let v(j) = -j**2 - 9*j - 10. Suppose 5*n + 5*d + 60 = 7*d, -n - 4*d = -10. Calculate v(n). -20 Let u(j) = 32*j - 1. Suppose 154*y + 10 = 159*y + z, 0 = y - z + 4. Determine u(y). 31 Let d(p) = -p**3 + 6*p**2 - 15*p + 57. Let b be d(5). Let z(x) = -1765 + 3*x - b*x + 1779. What is z(6)? -10 Let o(g) be the third derivative of -g**5/60 - 3*g**4/4 - 13*g**3/2 + 36*g**2 - 3*g. Determine o(-17). -22 Let m(z) = -1296*z - 116 + 434*z + 435*z + 434*z. Give m(15). -11 Let a be (-6)/(-8)*(-8 - 252/(-27)). Let p(k) = -7 + k - 11 - a + 21. What is p(7)? 9 Let d(p) be the second derivative of -p**7/2520 - p**6/120 + p**5/60 - 161*p**4/12 + 275*p. Let b(t) be the third derivative of d(t). Determine b(-5). 7 Let g(m) = 6*m**3 - 2*m**2 - m. Suppose -h + 10 = 2*u - u, 3*h + 5*u = 24. Suppose -9*q + h = -22*q. Calculate g(q). -7 Let l(x) be the first derivative of -7*x**3 + x**2 + x + 4. Let b = -3023 + 3022. Calculate l(b). -22 Let m(r) = r**3 - 5*r**2 + 6*r - 3. Let y(i) = -10*i + 125. Let w be y(12). Suppose k - n - 16 = -3*k, w*n + 8 = 2*k. What is m(k)? 5 Suppose 3*z - 24 = -2*s - 40, -3*s - 15 = 3*z. Let t(y) = -3*y + 4*y - 3*y - 3. Calculate t(z). 9 Let d(m) = -m**2 + 8*m + 1. Let t be (-6)/(-4)*36/(-189)*-7. Suppose 4 = -t*i, 2*a - i - 10 - 4 = 0. Calculate d(a). 13 Let c(d) = -2 + 7*d**3 - 5*d**3 - 3*d**3 + 2*d - 4*d**2. Suppose 23*w + 355 = 263. Give c(w). -10 Let c(w) be the third derivative of w**6/120 + 17*w**5/60 - 3*w**4/4 - w**3/2 - 44*w**2. What is c(-18)? -3 Let x = 1 + 1. Let k(r) be the second derivative of -11*r**3/6 + 2*r**2 - 31989*r. Give k(x). -18 Let z(q) = q**3 - 2*q**2 - 5*q + 2. Let n be ((-2)/4)/(6 - 29729/4956). Let x = n + 357. Give z(x). -4 Let s be (-1*(-1)/(-1))/((-5)/(-115)). Let m be s + 20 + (-2)/(-2). Let r be (-902)/110 - m/10. Let g(b) = -2*b - 11. What is g(r)? 5 Let d(t) = t**2 - 2*t. Let h(v) be the first derivative of 3 + 1/3*v**3 - 4*v - v**2. Let l be h(4). What is d(l)? 8 Let v(j) = -92*j - 97. Suppose 109 = 8*t + 117. Determine v(t). -5 Let n(t) = -24*t - 1. Let d = 12711 - 12712. Determine n(d). 23 Let w(c) be the first derivative of 3*c**2/2 + 42*c + 197. What is w(-15)? -3 Let k be (8/4)/(-1) - -2. Suppose -3*z - 12 = l, 8 = -5*l + 6*l - z. Let v(q) = -l*q + 4*q + 46 - 2*q - 31. Give v(k). 15 Let r(u) = u**2 - 9*u - 22. Suppose 246*s + 487 - 696 = 2005. What is r(s)? -22 Let z be 1/(-18 + 1022/56). Let r(i) be the first derivative of -5*i**2/2 + 4*i + 1. Give r(z). -16 Let g(i) = i - 2. Suppose 27 = 2*n + n. Let t(x) = 4*x - 7. Let r(b) = n*g(b) - 2*t(b). Suppose -5 = -m + 2. Determine r(m). 3 Suppose 371*y - 11 = 375*y + 3*f, -4*f + 20 = y. Let m(c) = 6*c + 27. What is m(y)? -21 Let d(j) = -2*j**2 + 45*j + 72. Let m(c) = 24*c**2. Let w be m(1). Give d(w). 0 Let z(x) = 0*x**3 + 1624185*x**2 - 8*x - 1624172*x**2 - 33 - x**3. Determine z(12). 15 Let m = -146 - -148. Let v(a) = 438*a**2 - 150*a**2 - a**3 - 12 - 149*a**m - 147*a**2 + 7*a. Calculate v(-9). 6 Suppose -3*l - 5*u = -43, -8*l + u = -5*l - 13. Suppose -5*v - l*t + 12 = -3*t, 0 = -4*v - 3*t + 9. Let r(f) = -f**2 + 3*f - 5. Calculate r(v). -5 Let z(p) be the second derivative of p**4/12 + 10*p**3/3 - 91*p**2/2 - 602*p. Calculate z(-24). 5 Let u = 44 - 42. Suppose -u*i - 15 = -7*i. Let p(c) = c**i - 3*c + 2 + 0*c - 3*c**3 + 3*c**2 + 3*c**3. Calculate p(-4). -2 Let l(a) = a**3 + 11*a**2 - a - 13. Let k(p) = -8*p + 107. Let c be k(23). Let o be (24/(-14) - -2) + 869/c. Determine l(o). -2 Let h(x) = x**2 + 3*x - 17. Suppose 20*a + 19*a - 195 = 0. Give h(a). 23 Let m = 36 - 28. Let g(j) = -j**2 + 7*j + 18. Let x be g(m). Let i(s) = s**3 - 10*s**2 + s - 10. Calculate i(x). 0 Let m(c) = -c**3 - 6*c**2 - 6*c - 5. Let l = 106 + -22. Suppose -12*a + l = -26*a. Determine m(a). 31 Let i(w) be the second derivative of 1 - 1/6*w**3 + 1/2*w**2 + 1/6*w**4 + 42*w. Suppose -f - 4 = 3*n, f = -0*f + 5*n + 12. What is i(f)? 7 Let r(f) = -11 - 351*f**2 + f**3 + 6*f + 15 + 343*f**2. What is r(6)? -32 Suppose -116 = 3*x - 2*q, -5*q - 109 = 5*x - 2*x. Let i = 72 + x. Let z = i - 44. Let k(l) = -l**2 - 11*l - 4. What is k(z)? 6 Let n(x) = x**2 + x - 1. Let k(d) = 5*d**2 + d - 1. Let h = 89 + -85. Suppose 0 = -5*l - h - 1. Let i(c) = l*k(c) + 6*n(c). What is i(-7)? 9 Let m(h) = -4*h**3 - 30*h**2 - 13*h + 17. Let k(p) = -3*p**2 + 152*p + 533. Let n be k(54). Give m(n). 10 Let y(u) = 7 + u**2 + 3*u - 2 - 1. Suppose 8*t - 18 + 2 = 0. Suppose -9*l + 12*l = -t*z - 12, -l = 3*z + 4. Calculate y(l). 8 Let m(u) = u**3 - u**2 + 2. Suppose -5*c + 3*t + 254 = -0*t, 2 = t. Suppose -3 + c = 7*f. Suppose 0 = 3*i + 12, -o + 3*i + f = -5. What is m(o)? 2 Suppose 96*n - 104*n = 56. Let v(y) be the first derivative of y**2 + 9*y - 1. Let k be v(n). Let d(f) = -2*f - 4. Give d(k). 6 Let d(u) = 129*u - 191. Let g(w) = 24*w - 38. Let j(y) = -3*d(y) + 16*g(y). Give j(-18). 19 Let j(v) = -1
{ "pile_set_name": "DM Mathematics" }
06235. 685 Calculate the greatest common factor of 20 and 5227070. 10 Calculate the greatest common factor of 2627408 and 140. 28 What is the greatest common divisor of 48 and 264336? 48 Calculate the greatest common factor of 5 and 76435. 5 What is the highest common divisor of 137897 and 5329? 73 What is the greatest common divisor of 60051 and 222? 111 Calculate the greatest common divisor of 798 and 27006. 42 Calculate the highest common factor of 10974093 and 1798. 899 Calculate the greatest common factor of 209 and 268660. 19 What is the greatest common divisor of 763880 and 104? 104 What is the greatest common divisor of 79145 and 2750? 55 Calculate the greatest common divisor of 3275297 and 103. 103 What is the greatest common divisor of 122 and 23363? 61 Calculate the greatest common factor of 20 and 52430. 10 What is the highest common divisor of 1120 and 419720? 280 Calculate the highest common factor of 16 and 90416. 16 What is the greatest common divisor of 3668 and 9? 1 What is the highest common divisor of 18 and 624126? 6 What is the greatest common factor of 2975 and 83725? 425 What is the greatest common factor of 114348 and 468? 156 Calculate the highest common factor of 2322481 and 1491. 497 Calculate the greatest common factor of 844 and 5114218. 422 Calculate the highest common divisor of 1620540 and 540. 540 Calculate the greatest common divisor of 441960 and 5. 5 What is the greatest common factor of 4930 and 1230? 10 Calculate the greatest common factor of 16089 and 465. 93 Calculate the highest common divisor of 43 and 1405025. 43 Calculate the greatest common factor of 135016 and 840. 56 What is the highest common divisor of 857298 and 379? 379 Calculate the greatest common factor of 176 and 828344. 88 What is the greatest common divisor of 196 and 3647854? 98 Calculate the highest common divisor of 78 and 30342. 78 Calculate the greatest common divisor of 325 and 119275. 325 Calculate the highest common divisor of 85827 and 357. 21 Calculate the greatest common factor of 10292 and 10106. 62 What is the greatest common factor of 16 and 938096? 16 Calculate the greatest common divisor of 13176 and 67588. 244 Calculate the highest common divisor of 5216088 and 72. 24 Calculate the highest common divisor of 1326 and 13974. 102 Calculate the greatest common factor of 62064 and 18. 18 Calculate the highest common factor of 361307 and 6877. 529 Calculate the greatest common divisor of 910 and 205135. 35 Calculate the greatest common factor of 33 and 242088. 33 Calculate the greatest common divisor of 3626 and 539. 49 What is the greatest common divisor of 16656 and 2856? 24 What is the greatest common divisor of 6954 and 17898? 114 Calculate the greatest common factor of 4884 and 1716. 132 What is the highest common divisor of 4976 and 1744? 16 What is the greatest common factor of 2664 and 50283? 333 What is the highest common factor of 30747 and 296? 37 What is the greatest common divisor of 1911765 and 1398? 699 Calculate the greatest common factor of 4968 and 1081. 23 What is the highest common divisor of 13168344 and 761? 761 What is the greatest common divisor of 143 and 19409? 13 Calculate the highest common factor of 2 and 10142. 2 What is the greatest common factor of 7 and 85757? 7 Calculate the highest common divisor of 313866 and 234. 18 Calculate the highest common factor of 1495 and 679055. 65 Calculate the greatest common divisor of 609 and 35217. 21 What is the highest common factor of 3190 and 485518? 638 What is the highest common factor of 324 and 21348? 36 What is the greatest common divisor of 21758 and 315964? 946 What is the greatest common divisor of 2560 and 2112? 64 What is the greatest common divisor of 48 and 32172? 12 Calculate the highest common divisor of 891 and 354. 3 What is the highest common divisor of 1244907 and 18? 9 What is the highest common divisor of 1121 and 11269? 59 Calculate the highest common divisor of 225 and 333. 9 Calculate the greatest common divisor of 627 and 11979. 33 Calculate the greatest common factor of 19370 and 1341. 149 What is the highest common factor of 31293 and 342? 171 What is the greatest common factor of 14625114 and 42? 42 Calculate the greatest common factor of 913 and 1034429. 913 Calculate the greatest common factor of 4608 and 52. 4 What is the greatest common divisor of 118575 and 425? 425 What is the highest common divisor of 2 and 616982? 2 Calculate the greatest common divisor of 103888 and 1849. 43 Calculate the greatest common factor of 130725 and 378. 63 Calculate the highest common factor of 19366 and 46. 46 Calculate the highest common factor of 2788170 and 11. 11 Calculate the greatest common factor of 60348 and 134796. 564 Calculate the greatest common factor of 77318 and 14874. 134 Calculate the greatest common factor of 45535 and 749. 7 What is the greatest common factor of 559027 and 49? 7 What is the greatest common divisor of 7929 and 423? 9 What is the highest common factor of 1260 and 576? 36 What is the highest common factor of 384128 and 128? 128 What is the highest common divisor of 2626 and 103424? 202 What is the greatest common divisor of 30461 and 11039? 83 Calculate the greatest common divisor of 128 and 738464. 32 Calculate the greatest common factor of 6388480 and 40. 40 What is the greatest common factor of 427 and 1123193? 61 Calculate the greatest common factor of 517 and 30832. 47 Calculate the highest common factor of 462 and 14154. 42 Calculate the greatest common factor of 360 and 21040. 40 What is the greatest common factor of 294 and 102900? 294 Calculate the highest common divisor of 3 and 36303. 3 Calculate the highest common divisor of 6265 and 3815. 35 Calculate the greatest common factor of 19 and 491720. 19 What is the highest common divisor of 8 and 210536? 8 What is the highest common factor of 19830 and 570? 30 What is the highest common divisor of 110891 and 17? 17 Calculate the greatest common divisor of 7526 and 426. 142 Calculate the highest common factor of 432 and 280134. 18 Calculate the highest common divisor of 200 and 30700. 100 What is the greatest common factor of 24869 and 52? 13 Calculate the greatest common factor of 812 and 365864. 116 What is the highest common factor of 8734 and 15730? 22 Calculate the greatest common divisor of 1579233 and 93. 93 What is the highest common divisor of 19 and 47063? 19 What is the highest common divisor of 34665 and 120? 15 Calculate the greatest common divisor of 68 and 15515492. 68 Calculate the highest common divisor of 480 and 4150. 10 What is the highest common factor of 33597 and 117? 9 Calculate the highest common divisor of 689 and 9593. 53 Calculate the highest common divisor of 14841 and 15453. 153 Calculate the highest common factor of 69237 and 126. 63 What is the highest common divisor of 528434 and 386? 386 What is the highest common factor of 6025 and 964? 241 What is the highest common factor of 2232 and 22599? 279 What is the highest common factor of 57280 and 20? 20 Calculate the highest common factor of 935 and 15. 5 Calculate the highest common factor of 110 and 1313290. 110 What is the highest common divisor of 4 and 2792? 4 What is the greatest common factor of 4826 and 42418? 254 What is the greatest common factor of 226800 and 25? 25 What is the greatest common divisor of 752470 and 2350? 470 What is the greatest common factor of 393 and 128773? 131 Calculate the highest common factor of 1044 and 28476. 36 What is the highest common divisor of 12 and 23478? 6 What is the highest common divisor of 1360528 and 208? 208 Calculate the highest common factor of 2455546 and 58. 58 What is the greatest common divisor of 180 and 31455? 45 What is the greatest common divisor of 1175 and 11515? 235 Calculate the greatest common factor of 2262432 and 96. 96 What is the greatest common divisor of 1638 and 2576028? 546 Calculate the greatest common factor of 1017605 and 813. 271 Calculate the highest common factor of 6 and 2342. 2 What is the greatest common divisor of 71292 and 260? 52 What is the highest common divisor of 896 and 37744? 112 Calculate the greatest common divisor of 4540 and 189772. 908 What is the greatest common factor
{ "pile_set_name": "DM Mathematics" }
(m) = -m**2 + 39*m + 280. Let y be b(45). Let l(a) be the first derivative of a**3/3 - 4*a**2 + 11*a + 2. Calculate l(y). 31 Let k(p) be the first derivative of 0*p + 2 - 1/2*p**2. Let r = 251 + -244. Calculate k(r). -7 Let k(g) = 2*g + 1 - 2*g**2 + g**2 - 2 - g. Let t(q) = -q**3 - q**2 + 8*q - 7. Let j(i) = -3*k(i) + t(i). Let o be 90/21 - 2/7. Give j(o). -16 Let z(m) be the second derivative of 0 - 2/3*m**3 + 37*m + 11/2*m**2 - 1/20*m**5 - 7/12*m**4. Give z(-6). -1 Let t(r) = -r + 11. Let h(k) = -36 + 20*k - 10*k - 8*k. Let x be h(22). What is t(x)? 3 Suppose -5*o = -2*r - 31, o + 2*r - r - 2 = 0. Suppose f = -3*j + 4, -o*f + 5 = -j + 1. Let v(d) = -17*d**2. What is v(j)? -17 Let a(p) = -p - 5. Let o(m) = m**2 - 13*m - 2. Let w(h) = -h**2 - h + 223. Let r be w(14). Let n be o(r). What is a(n)? -3 Let q(c) = 3*c**2 - 3*c + 13. Let j(y) = 14*y**2 - 15*y + 57. Let i(s) = -2*j(s) + 9*q(s). Suppose 4*o + 0*o - 12 = 0. Give i(o). 3 Let w = -85 + 84. Let u(r) = 55*r**2 + 6*r - 7. Let i(z) = 152*z**2 + 17*z - 19. Let o(g) = -4*i(g) + 11*u(g). Calculate o(w). -2 Let q(n) = 6*n**3 - 2*n + 1. Let s(a) = -a**2 + 29*a + 147. Let v be s(33). Let g(y) = 3*y - 44. Let u be g(v). Determine q(u). 5 Let g(o) = 5*o**2 - 19*o + 236. Let i(w) = -14*w**2 + 57*w - 648. Let r(t) = 11*g(t) + 4*i(t). Give r(15). 64 Let c = -82 + 88. Suppose q + 2*q = c. Suppose -o - 1 = q*d, 0*d - 2*d = -3*o + 5. Let n(z) = z**3 + z**2 + z. What is n(d)? -1 Let u(y) be the third derivative of y**6/120 - y**5/15 - 3*y**4/8 + 17*y**3/6 + 1947*y**2. What is u(5)? -3 Let j(v) = -v - 1. Let z = -45 - 87. Let d = z + 136. What is j(d)? -5 Let c(p) = -p**2 - 15*p + 38. Let i be (-448)/147*6 - 2/(-7). Determine c(i). -16 Let n(v) = -7*v**3 + 3*v**2 - 21*v - 5. Let p(c) = -3*c**3 + c**2 - 10*c - 2. Let u(s) = -4*n(s) + 9*p(s). Let y = -92 - -100. Let j be 2/(-4)*-1*y. Give u(j). -6 Let s be 376/(-44) + (-8 - 658/(-77)) - 26. Let k(y) = y**3 + 34*y**2 + y + 15. Determine k(s). -19 Let s(u) = 6 - 7*u + 5*u**2 + u**3 - u**2 - 11. Let a = -4 + -18. Let v = 17 + a. Determine s(v). 5 Suppose k - 16 - 1 = -2*d, -k - 23 = -2*d. Suppose 5*t - 5*h + 0 + 10 = 0, 0 = 2*t + 5*h - d. Let q(r) = r**3 + r**2 + r - 20. Determine q(t). -20 Suppose 495 = -449*x + 548*x. Let w(s) = -3*s + 21. Let y(o) = -6*o + 41. Let u(v) = -11*w(v) + 6*y(v). Calculate u(x). 0 Let k(v) = 5*v**2 - v + 3. Let i(m) = -6*m**2 + m - 3. Let a(z) = -4*i(z) - 5*k(z). Suppose 95*l - 93*l = 28. Suppose h + 0*h = -l*h. Give a(h). -3 Let o(l) be the first derivative of -9*l + 16*l**2 + 17 - 7*l**2 - l**2 - 7*l**2. Calculate o(-7). -23 Suppose 52*p + 2*h = 53*p - 12, -5*p = 3*h - 8. Let l(c) = 3*c. Let j(x) = 7*x + 1. Let i(a) = 2*j(a) - 5*l(a). Give i(p). -2 Suppose -i + 2*i = 2*u + 27, 3*u - 9 = 0. Let f(a) = -31*a - i*a + 13 + 62*a. Calculate f(10). -7 Let i(h) = -h**2 + 15*h - 45. Suppose -2567 + 2431 = -17*b. What is i(b)? 11 Let q(b) = -2*b**2 - 5*b + 3. Let t(a) = -a**2 - 2*a - 1. Let i(p) = -4*p**2 - 11*p - 3. Let v(d) = i(d) - 5*t(d). Let x(g) = -q(g) + 2*v(g). Give x(-1). 2 Let x(t) be the third derivative of 19*t**4/24 - 13*t**3/3 + 3825*t**2 + 1. Give x(3). 31 Suppose 15*u - 80*u - 1920 = 55*u. Let d(c) = 4*c + 93. What is d(u)? 29 Let i(j) = -j**2 + 11. Suppose -11*t + 44 = -11. Suppose -3*y + 5*p = -15 - 5, t*p = -20. Determine i(y). 11 Let d(v) be the third derivative of -v**6/120 + v**5/60 + v**4/6 - v**3/2 - 8264*v**2. Let r = 12 + -8. What is d(r)? -35 Let s(x) = 4*x**2. Let m be s(-1). Let y(j) = -m + 7 + 9*j - 5 - 2 - j**2. Suppose z = 14*z - 91. What is y(z)? 10 Let k = 1368 + -1363. Let j(m) = -m**2 + m + 3. Give j(k). -17 Let f = -16208 - -16215. Let k(l) = -2*l**2 + 20*l - 57. Determine k(f). -15 Let y = 2 - -1. Suppose 3*x - 5*g = 266, 0 - 8 = -4*g. Let h(w) = w - x + 34 + 28 + 28. Determine h(y). 1 Let h be ((-8)/5)/((-4)/10). Let y(r) = r + h - 3 - 3. Let j be 1 - (6/2 + -2). What is y(j)? -2 Let n(d) = 9*d**3 - d**2 - d + 1. Let l(p) = p**2 + 24*p + 108. Let b be l(-6). Suppose 4*g = 5*f - 3*f + 2, b = 3*f - g - 2. Determine n(f). 8 Let w = -28 - -27. Let a(i) be the second derivative of -i**3/2 - 2200*i. Calculate a(w). 3 Let q(y) = -y - 12. Suppose -27*k - 75 = -42*k. Suppose -67 = 8*m + k. Give q(m). -3 Let s(b) be the first derivative of b**3/3 + 13*b**2/2 - 6*b + 1200. Determine s(-13). -6 Let m(k) be the second derivative of 7*k**3/6 + 305*k**2/2 - 10083*k. Calculate m(-45). -10 Let u(b) = -b + 6. Suppose -11*i + 21*i = 50. Let x be ((-4)/(-6))/(48/72). Let g be (0/(i - x))/(-3). What is u(g)? 6 Let x = 1155576 + -1155571. Let y(n) = 0*n - 10 + 34 - 11*n + n**2. Calculate y(x). -6 Let u be 386/8 + 330/440. Let b(d) be the first derivative of -u + 0*d - 2/3*d**3 - 1/2*d**2. Calculate b(2). -10 Let z = 213 - 211. Let g(j) = -z + 8 + j**2 - 157*j + 153*j. Suppose -5*r = -0*r - 20. Determine g(r). 6 Let o(h) = h**2 + 8*h - 7. Let i = 10 + -27. Let y = 22 + i. Suppose y*w = -10 - 35. Calculate o(w). 2 Let t = -1707 + 1699. Let g(l) = -l**2 - 9*l - 8. Calculate g(t). 0 Let l be (-208)/130 - (2028/65)/(1*-2). Let y(b) = -2*b + 58. Calculate y(l). 30 Let p(s) = -3*s + 391. Let a be p(130). Let z(k) = -4*k - 1. What is z(a)? -5 Suppose -333 = 3*p - c - 349, 2*p - c = 9. Let x(n) = n**2 - 5*n - 4. Calculate x(p). 10 Let l(p) be the second derivative of 5*p**3/6 + 3*p**2/2 - p. Let q = -4769 + 4767. Let n(b) = -6*b - 4. Let y(t) = q*n(t) - 3*l(t). What is y(2)? -7 Let a(g) be the second derivative of -g**5/20 + 5*g**4/4 - 8*g**3/3 + g**2 + 785*g. Determine a(14). -26 Let a(f) = 7*f**3 - f - 7. Let i(y) = 13*y**3 + y**2 - 3*y - 12. Let m(h) = -11*a(h) + 6*i(h). Let j(q) = 1 - q**2 - 7 - 11*q - 1. Let k be j(-11). Give m(k). 5 Let m(t) be the first derivative of 5*t**2/2 + 94*t - 622. Calculate m(-9). 49 Let s be ((-12)/(-18))/(3/9). Let m(c) be the second derivative of 5/6*c**3 + 0*c**s - 16*c + 0. Calculate m(-1). -5 Suppose -155*g = -110 + 53 - 98. Let r(v) = -10*v**2 - 3*v. Determine r(g). -13 Let z = 754 - 758. Let m(n) be the first derivative of -n**3/3 - 7*n**2/2 + 5*n + 2. What is m(z)? 17 Let z(g) be the first derivative of -1/2*g**2 - 5*g + 4. Determine z(-7). 2 Let q(d) be the first derivative of -1/4*d**4 + 9 + 7*d + 7/3*d**3 - 5/2*d**2. Give q(6). 13 Let f(x) = 6*x**3 - x. Let g = 479 - 910. Let m = 432 + g. Determine f(m). 5 Let j(b) = 2 + 6 - 2 + 3*b + b - b**2. Let r be j(5). Let n(f) = f - 16*f**3 + 3*f**2 - 2*f**2 + 4*f**2 - 1 - 7*f**2 + 3*f**2. What is n(r)? -15 Let j(l) = -6*l + 41. Let f be ((-12)/(-5))/(336/840). Give j(f). 5 Let g(d) = 4*d**2 + 10 + 9973*d + 0 - 9969*d - 5*d**2. Calculate g(-5). -35 Let c(x) = 71 + 4*x**3 - 4*x - 4*x**3 + 33*x**3 - 27*x**3 - 7*x**3. Determine c(0). 71 Let g(w) = -w**3 + 6*w**2 + 2*w - 6. Let x(m) = -2*m**3 - 24*m**2 - 37*m + 36. Let t be x(-10). Determine g(t). 6 Let j(q) = 97*q**3 - 72*q**2 - 77*q + 57. Let p(u) = -13*u**3 + 10*u**2 + 11*u - 8. Let i(d) = 2*j(d) + 15*p(d). Calculate i(8). -46 Let s(f) = 7*f**2 + 26*f - 39. Let i(p) = 3*p**2 + 20*p - 1. Let h(q) = 2*i(q) - s(q). Determine h(12). 61 Let n(z) = 7*z. Suppose 37 = 5*q - 58. Let c = -3654 - -3657. Suppose 22*h - c = q*h. What is n(h)? 7 Suppose 0 = -3*w + 26 - 11. Let f be ((-20)/(-50))/(1/w). Let z(o) = 0*o**2 + 10*o**2 + 11*o**2 - o**f + 1. Calculate z(-1). 21 Let j = -56 - -58. Suppose 7*x = j*x. Suppose x = 16*l - 20*l - 24. Let h(s) = s - 1. Determine h(l). -7 Let m(y) = 2*y + 1. Let g(h) = 48*h - 179. Let o be g(9). Let d = o + -251. Determine m(d). 5 Let l(y) be the third derivative of -y**4/12 + y**3/6 - 6*y**2 + 1. Let v(w) = -35*w**3 + w**2 - 3*w + 2. Let x be v(1). Let r = x + 39. Calculate l(r). -7 Let u(f) = -2*f + 1. Let d be u(-1). Let s(x) be the second derivative of 0 + 1/12*x**4 + 3/2*x**2 - x**3 + 575*x. What is s(d)? -6 Let i(n) = -n**2 + 18*n + 44. Suppose 0 = 2362*q - 2347*q - 270. Calculate i(q). 44 Suppose -6 = 3*x - 51. Let y(g) be the second derivative of -g**3/6 + 7*g**2 - 9346*g. Calculate y(x). -1 Let n(b) = 835*b**2 - 4*b. Let t be n(1). Let p = -834 + t. Let k(x) = x**2 - 5*x - 10. Calculate k(p). 14 Let j(a) be the third derivative of a**7/1260 - a**6/240 - a**5/60 + 11*a**3/2 - 8*a**2 + 1. Let u(c) be the third derivative of j(c). Determine u(6). 21 Let g = -56 + 53
{ "pile_set_name": "DM Mathematics" }
What is the least common multiple of a(k) and v? 20 Calculate the smallest common multiple of (24/16)/(3/18) and 21. 63 Let n = -321 + 451. Find the common denominator of 68/3 and (n/(-8))/5 + -2. 12 Find the common denominator of ((-119)/(-28) - -2)/((-2)/1) and -31/6. 24 Let x = 203/61 + -8923/610. Calculate the common denominator of x and -9/2. 10 Let y = -135013/20 + 40947/5. Let s = y - 1423. Calculate the common denominator of 7/3 and s. 12 Calculate the least common multiple of 0 + 9*32/12 and 12. 24 Let q be (-35)/4 - 3/(-4). Let l = 12 + q. What is the smallest common multiple of l and 10? 20 Let z = -40 - -45. What is the lowest common multiple of 3 and z? 15 Let z = -7291/208 - -450/13. Find the common denominator of z and 109/48. 48 Let g = 1027/3 - 357. Let i = g + 33. Find the common denominator of i and 2/((-12)/(-61)) + -1. 6 Calculate the common denominator of -145/12 and (-1 + 12/9)/(8/3). 24 What is the common denominator of 12/20*(-90)/(-186) and 41/5? 155 Let t(h) = -h**2 - 8*h - 9. What is the smallest common multiple of 16 and t(-5)? 48 Calculate the common denominator of (-36)/9*(-7)/40 and -8/11. 110 Let b = -2011/852 + -4/71. Calculate the common denominator of b and 61/14. 84 Let f be (-582)/4 + (2 - 1). Let h = -437/3 - f. Calculate the common denominator of h and (5 - 2) + 39/(-208). 48 What is the lowest common multiple of 602/15 + (-8)/60 and 16? 80 Let x(s) = 2*s**2 - 2*s - 2. Calculate the lowest common multiple of 16 and x(-1). 16 Suppose 38 = 6*r - 4. Calculate the least common multiple of r and 5. 35 Let a = 26 + -56. Let q = -16 - a. Let n(l) = l**2 - 10*l - 4. Calculate the smallest common multiple of n(12) and q. 140 Let h = -2/723 + 7475/1446. Find the common denominator of (-81)/(-126)*37/3 and h. 42 Let w = 36 + -60. Let u be 10/(-25) - w/10. What is the lowest common multiple of 4 and -1*(u + 0)/(-1)? 4 Let d(y) = y - 5. Let l be -1 + (-2)/(-2) - 0. Let b be d(l). What is the common denominator of (-2)/b - (-181)/10 and 85/18? 18 Let d be 4/10*6*10. Let z be 18/(-1 + 2/6). What is the common denominator of -37 and 2*(z/d - 3)? 4 Let u = 167/30 + -29/30. What is the common denominator of 151/6 and u? 30 Suppose 5*g = -5 + 20. Suppose -u = g*u - 8. Calculate the smallest common multiple of u and 8. 8 Let r = -2/1985 + -16672/1985. Calculate the common denominator of -101/6 and r. 30 Let a be 0 + -2 + (-68)/(-55). Let x = -4571/440 - a. Let s = -8221/5 - -1651. Calculate the common denominator of x and s. 40 Let a = -101856/13 - -7839. Find the common denominator of (-651)/(-60) - (-8)/20 and a. 52 Suppose 5*b + 4*z = 32, -b + 6*z - 2*z + 16 = 0. Suppose -5*h = -2*d + 6, -6 = -2*d + h + b. What is the smallest common multiple of 3 and d? 24 Suppose 2*j + 1 = 3. Find the common denominator of 1/j*275/88 and -34/7. 56 Let q(i) = i**2 + 18*i - 28. Let u be (-3 + 5)*(-6)/(-4). Suppose -d = u*d - 32. What is the lowest common multiple of d and q(-20)? 24 Calculate the least common multiple of 10 and (-8)/(-14) + (-72)/(-21). 20 Let v = 319/42 + -192/7. Find the common denominator of 0 + (-2)/(-22)*-31 and v. 66 Let q = -525/8 - -953/16. Let t = -17377/4070 + -9/185. Find the common denominator of t and q. 176 Let u be (-435946)/(-40) + (-4 - -5). Let m = -10902 + u. What is the common denominator of 19/20 and m? 20 Suppose 2*m - 12 = -3*p, 3*p + 5*m - 12 = -0*m. Let g(t) = 2*t**2 - 7*t + 6. What is the least common multiple of g(p) and 2? 10 Let q = -3 - -3. Let s(z) = 2 - 7 + 10*z + q*z**2 - z**2. What is the least common multiple of s(5) and 2? 20 Find the common denominator of (2/16)/((-147)/6132) and -51/8. 56 Let l = 110137/180 + -5474/9. Let i = -3/14 + 325/112. Find the common denominator of i and l. 80 Let x(l) = 3*l**2 + 2*l + 2. What is the lowest common multiple of x(-1) and 33? 33 Suppose 2*m + 20 = -3*v - 0*m, -5*m = -25. Find the common denominator of v and 57/7. 7 Find the common denominator of (-1685)/(-200) - (-2)/10 and 97/4. 8 Suppose -n = 4*q - 11, -4*q - 5*n - 2 = -3*q. Let f = q + -13. Calculate the smallest common multiple of 2 and 4/f - 96/(-15). 6 Suppose -3*z = -5*z + 18. Calculate the smallest common multiple of z and 7. 63 Let x be 7/(-42) + 710/12. Suppose 5*f - 36 - x = 0. Find the common denominator of 95/8 and f. 8 Let l(s) = -s**3 - 4*s**2 - 7*s - 6. Let j be l(-4). Let y = -2 + j. Calculate the common denominator of (207/(-10))/((-48)/y) and 61/10. 40 Let n = 5017 - 40055/8. Calculate the common denominator of -59/8 and n. 8 Let t = 40 - 38. Calculate the smallest common multiple of t and 11. 22 Let t(u) = u**3 - u + 1. Let m(x) = -17*x**3 + 8*x + 10*x**3 + 0 + 8*x**2 - 10. Let d(y) = m(y) + 6*t(y). Calculate the least common multiple of d(8) and 22. 132 Let c = -7/34 + -593/51. What is the common denominator of c and (-222)/(-16) - (-6)/(-2)? 24 Let q = -543911/88 - -6181. Let b = -1785 - -39277/22. Let r = b - q. What is the common denominator of 111/14 and r? 56 Let x = 3568 - 24925/7. What is the common denominator of x and (-1942)/84 - (-2)/7? 42 Suppose -3*z + 2*z + 3402 = 0. Let p = -33983/10 + z. What is the common denominator of p and 89/8? 40 Let b = 158191/16 + -9883. Find the common denominator of b and 95/14. 112 Let u be 10/(-4)*(-1 - -3). Let t = -1 - u. What is the smallest common multiple of t and 12? 12 What is the common denominator of 252/(-35) + -2*2 and 3/5? 5 What is the common denominator of 30/(-50)*(-225)/(-12) and 97/32? 32 Let c = -110711/47988 + 2/1333. Calculate the common denominator of c and -11/10. 180 Let p = -18341/20 + 3699/4. Calculate the common denominator of 0/1 + 194/12 and p. 30 Suppose 17*i + 18 = 20*i. What is the smallest common multiple of 4 and i? 12 Let f(k) = -k**2 + 9*k + 6. Suppose -29 = -q + 5*s, -26 = -q + 3*s + s. What is the least common multiple of f(9) and q? 42 Suppose 9*r - 8 = 7*r. Calculate the smallest common multiple of r and 9. 36 Let y(a) = -a**3 + 2*a + 3. Let d be y(3). Let f = d + 26. Calculate the lowest common multiple of 18 and f. 72 Let j be (0 - 0) + (-6)/14. Let g = 243/28 + j. Calculate the common denominator of g and 45/22. 44 Let i(l) be the second derivative of l**3/6 + 13*l**2/2 + 3*l. Let b be i(9). Find the common denominator of -3 + -2 + 106/b and 13/11. 11 Let v be 1/((-3)/3) + 9. Suppose 0 = g - 4 - v. Suppose 3*k = g, -3*o = 4*k - 17 - 11. What is the smallest common multiple of o and 2? 4 Let i be (9*2)/(-3)*-1. What is the common denominator of 5/14 and (-6)/(-3) - (-225)/i? 14 What is the common denominator of -23/4 and (41/(-4))/(18/24)? 12 Let o = 83986 + -246295/3. Let p = o + -1872. What is the common denominator of (-366)/(-30) + (-2)/(-5) and p? 15 Let q = 27031/16 + -1691. Calculate the common denominator of q and -69/22. 176 Let y(o) = 19*o**3 + o. Let t be y(-1). Let c be ((-3)/t)/(6/82948). Let z = -2079 + c. Find the common denominator of -67/10 and z. 10 Let w = -7 - -5. What is the common denominator of -6 - (w - (-2 - 2)) and 12? 1 Let o = -26/31 - -1619/341. Find the common denominator of o and -103/42. 462 Suppose 5*y - 3 = 47. Calculate the lowest common multiple of y and 11. 110 Let m = -3 + 3. Suppose -4*c + 1 = -5*r, -3*r = -9 - m. Calculate the smallest common multiple of 7 and c. 28 What is the common denominator of -1 - (-4)/16*89 and 15/7? 28 Suppose k = 2*v - 43, -v + 2*k + 26 = 6*k. What is the least common multiple of v and 10? 110 Let d = -12 - -18. Let w(q) = q**3 - 2*q**2 + q - 4. Let t be w(d). Find the common denominator of -107/18 and (-4)/(-16) + t/12. 36 Let y = 34 + -20. Suppose 2*m = x + 18, m + x + 0*x = 12. Suppose -7*b - 36 = -m*b. Calculate the lowest common multiple of b and y. 84 Let k = -68 - -73. What is the lowest common multiple of k and 9? 45 Suppose 0*r + 5*r = 80. Calculate the least common multiple of 2 and r. 16 Let k(s) = -s**3 - 4*s**2 - s. Let a be k(-3). What is the common denominator of 19/16 and (3/(-12))/(a/(-452))? 48 Let h = 39570/11 - 3600. Let g = 1641/25 - 41017/50. Let o = -754 - g. Find the common denominator of o and h. 110 Suppose 2*y = 4, 0 = -2*u - y - 3*y - 14. What is the common denominator of 1 - u/(-18)*11 and (292/(-28))/(30/(-21))? 90 Suppose -2*a = -0*a - 94. Let l be a + (-3 - 3) + 3. What is the common den
{ "pile_set_name": "DM Mathematics" }