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scaling_mia_the_pile_00_DM_Mathematics

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olve 301*s = 307*s - 6 for s. 1 Solve 9*y - 108 = -27*y for y. 3 Solve -2300*f - 48 = -2306*f for f. 8 Solve -2*h - 8 = -2 for h. -3 Solve -91*l = -88*l - 12 for l. 4 Solve 0 = 9*c + 2*c + 66 for c. -6 Solve 16*a - 742 + 726 = 0 for a. 1 Solve 0 = -18*x + 8*x + 40 for x. 4 Solve 10*o = 20*o + 30 for o. -3 Solve -107*y = -103*y + 28 for y. -7 Solve 0 = 37*a - 76 - 35 for a. 3 Solve -5*j = 13 - 28 for j. 3 Solve -20 = 10*k - 30 for k. 1 Solve -42 = 21*v - 27*v for v. 7 Solve 0 = -6*w - 49 + 25 for w. -4 Solve 90 = -13*o - 5*o for o. -5 Solve -1 = -11*p + 32 for p. 3 Solve 3*j + 13 = -2 for j. -5 Solve 27*n - 141 - 21 = 0 for n. 6 Solve 0 = r + 9*r - 20 for r. 2 Solve -5*f + 31 = -14 for f. 9 Solve 32*h - 34*h = -2 for h. 1 Solve 7*q + 27 + 8 = 0 for q. -5 Solve -6*t + 11 = -13 for t. 4 Solve -24*f + 7 = 31 for f. -1 Solve -261 = -56*g + 75 for g. 6 Solve 0*c - 5*c - 15 = 0 for c. -3 Solve 7*l + 26 = -9 for l. -5 Solve 5*l - 39 = -14 for l. 5 Solve 8*t = 7*t + 6 for t. 6 Solve -13*j + 40 = -5*j for j. 5 Solve 4*l = 30 - 54 for l. -6 Solve -4*u = 15 + 1 for u. -4 Solve -94*o + 10 = -99*o for o. -2 Solve 0 = -17*p - 6*p + 92 for p. 4 Solve -19 = -13*q + 7 for q. 2 Solve 0 = -8*w + 6*w - 6 for w. -3 Solve 0 = -20*h + 246 - 226 for h. 1 Solve -3*r = 8*r - 11 for r. 1 Solve 48*i = 44*i + 16 for i. 4 Solve -27 + 3 = -6*g for g. 4 Solve -6*t - 183 + 189 = 0 for t. 1 Solve 9*g = 3*g + 12 for g. 2 Solve l - 4 = -2 for l. 2 Solve -48*k + 51*k + 9 = 0 for k. -3 Solve -2*s = -12 + 12 for s. 0 Solve -606 = -9*i - 615 for i. -1 Solve 8*j + 109 - 101 = 0 for j. -1 Solve -u = -4*u + 6 for u. 2 Solve -65 = 5*q - 70 for q. 1 Solve 19*s - 69 = 7 for s. 4 Solve 94*w = -505 + 129 for w. -4 Solve 19 = 6*o + 1 for o. 3 Solve -2 = 3*g + 7 for g. -3 Solve -11*d = 109 - 175 for d. 6 Solve 16 = 162*b - 154*b for b. 2 Solve -12*k = -12 + 96 for k. -7 Solve 16 - 6 = 2*c for c. 5 Solve -5*p + 3 = 13 for p. -2 Solve 0 = 35*x - 37*x + 6 for x. 3 Solve -3 = 5*g + 12 for g. -3 Solve -906*k - 7 = -907*k for k. 7 Solve -7*g + 9 = 23 for g. -2 Solve -5*z = 2*z - 21 for z. 3 Solve 15057 - 15157 = -10*h for h. 10 Solve 23*j - 38 = 8 for j. 2 Solve 477*g - 9 = 474*g for g. 3 Solve -14*v + 4*v - 20 = 0 for v. -2 Solve 8*x + 105 = -7*x for x. -7 Solve 5*a + 4 = -6 for a. -2 Solve -94*d + 883 = 37 for d. 9 Solve -13 + 27 = 2*p for p. 7 Solve 17*b = 13*b for b. 0 Solve -19*f = 11*f + 90 for f. -3 Solve -2*c - 24 = -20 for c. -2 Solve 6*j - 13 = -43 for j. -5 Solve 0 = 7*f - 18*f + 55 for f. 5 Solve 57 = 9*o + 12 for o. 5 Solve 19*b + 27*b + 184 = 0 for b. -4 Solve 23 + 19 = 14*w for w. 3 Solve -8*d - 801 = -841 for d. 5 Solve -21 = -232*a + 239*a for a. -3 Solve g + 17 = 18*g for g. 1 Solve 0 = -3*q + 9 for q. 3 Solve 15*t - 5478 = -5493 for t. -1 Solve 10 = -2*h + 2 for h. -4 Solve 28*y + 72 = 40*y for y. 6 Solve 0 = 19*w + 20*w - 3*w for w. 0 Solve 0 = 7*g - 28 - 7 for g. 5 Solve 20 = 9*d + 2 for d. 2 Solve -66*y - 136 + 4 = 0 for y. -2 Solve -391 = -21*x - 559 for x. -8 Solve 256*h - 261*h + 25 = 0 for h. 5 Solve -13*u + 8 + 44 = 0 for u. 4 Solve -104*q = -10*q + 752 for q. -8 Solve -4*w - w + 10 = 0 for w. 2 Solve 36*j + 675 - 819 = 0 for j. 4 Solve -179 = 5*k - 214 for k. 7 Solve -103*b - 470 = -56*b for b. -10 Solve -15*l - 29*l - 264 = 0 for l. -6 Solve 28 = 17*u - 23 for u. 3 Solve 6*h = h + 10 for h. 2 Solve 0 = 41*g - 89 - 157 for g. 6 Solve -q - 21 + 16 = 0 for q. -5 Solve v - 3 = 4*v for v. -1 Solve 60*f = 109*f + 98 for f. -2 Solve 99*k - 25 = 104*k for k. -5 Solve -114 = 10*a - 154 for a. 4 Solve 6*c - 2*c + 8 = 0 for c. -2 Solve -6*a = a + a for a. 0 Solve -4*h = 601 - 589 for h. -3 Solve -154 = 1869*m - 1883*m for m. 11 Solve -12 = -5*o - 22 for o. -2 Solve -5*l + 92 = 97 for l. -1 Solve 3*m = 14*m - 22 for m. 2 Solve 298*a = 292*a + 30 for a. 5 Solve 60 = -10*j - 2*j for j. -5 Solve -13*q + 2*q = 11 for q. -1 Solve 71*d - 83*d + 24 = 0 for d. 2 Solve -17*h - 7 = -24 for h. 1 Solve -47*h + 90 + 51 = 0 for h. 3 Solve 5*q = -330 + 295 for q. -7 Solve -n - 6*n = -7 for n. 1 Solve -17 = 3*t - 8 for t. -3 Solve 43 - 35 = 8*a for a. 1 Solve 5 = -3*u - 7 for u. -4 Solve 6 = 2*i - 4*i for i. -3 Solve -15*v + 7 = 67 for v. -4 Solve 13*r - 24 = -63 for r. -3 Solve -50 = -j - 53 for j. -3 Solve -24*c = -41*c + 17 for c. 1 Solve 0 = -26*m - 5*m + 124 for m. 4 Solve -26 = -46*i + 20 for i. 1 Solve 260*o + 14 = 246*o for o. -1 Solve -34*i = -44*i - 110 for i. -11 Solve -8 = -7*x + 6 for x. 2 Solve -c + 77 - 80 = 0 for c. -3 Solve 2*b = -22*b + 120 for b. 5 Solve 4*p - p + 6 = 0 for p. -2 Solve -75*n + 198 + 252 = 0 for n. 6 Solve 0 = 6*v - 9*v for v. 0 Solve -26*q - 17 - 35 = 0 for q. -2 Solve 48*k - 8 = 50*k for k. -4 Solve -19*c + 45 = -50 for c. 5 Solve 9*k + 390 = -30*k for k. -10 Solve -3*d + 20 - 23 = 0 for d. -1 Solve -24*d + 43*d - 19 = 0 for d. 1 Solve 25*t = 48*t + 23 for t. -1 Solve 0 = 2*u + u + 3 for u. -1 Solve 72*x + 79 - 7 = 0 for x. -1 Solve 4*o + 4 = 2*o for o. -2 Solve 35 = 5*h + 35 for h. 0 Solve 275*l + 2 = 276*l for l. 2 Solve 92 = 5*p + 112 for p. -4 Solve -9*s + 12 + 6 = 0 for s. 2 Solve 9 = 41*b - 40*b for b. 9 Solve -20 + 22 = x for x. 2 Solve 144 = -8*d + 104 for d. -5 Solve -p - 35 + 34 = 0 for p. -1 Solve 0 = 11*w - 7*w - 16 for w. 4 Solve 130 = 10*r + 16*r for r. 5 Solve -23*u + 21 - 67 = 0 for u. -2 Solve 51*l + 68 = 68*l for l. 4 Solve -28 = -8*n - 52 for n. -3 Solve 89*d = 81*d + 48 for d. 6 Solve 5*q = 177 - 172 for q. 1 Solve -2 = 3*n + 10 for n. -4 Solve 0 = -17*v + 28*v + 6*v for v. 0 Solve 0 = 220*u - 218*u - 10 for u. 5 Solve 0 = -60*p + 67*p + 14 for p. -2 Solve 7*s + 16 = -19 for s. -5 Solve 17*n = 20*n + 3 for n. -1 Solve -326*m + 309*m + 136 = 0 for m. 8 Solve 149*q + 28 = 177*q for q. 1 Solve 37*a = -38*a + 525 for a. 7 Solve 7*l + 14 = -0*l for l. -2 Solve -14*d = 26 + 100 for d. -9 Solve -7*v = -68 + 54 for v. 2 Solve 3250 = -7*f + 3243 for f. -1 Solve 227*o - 242*o - 120 = 0 for o. -8 Solve 0 = -34*u - 10*u + 308 for u. 7 Solve -24*a - 45 - 123 = 0 for a. -7 Solve -79*v = -69*v for v. 0 Solve -62 = 16*f - 14 for f. -3 Solve -44 = z - 46 for z. 2 Solve 5*v = -64*v + 138 for v. 2 Solve -37 + 121 = 14*j for j. 6 Solve 0 = 3*p - 0 - 6 for p. 2 Solve -6*c - 8 = 22 for c. -5 Solve 20*u - 25*u + 30 = 0 for u. 6 Solve -99 + 89 = -2*z for z. 5 Solve -4*j + 59 = 31 for j. 7 Solve -8*r = -15 + 55 for r. -5 Solve -54 + 96 = -6*x for x. -7 Solve -30*f = -44*f + 56 for f. 4 Solve -14*q + 2*q = -12 for q. 1 Solve 0 = -8*p + 70 - 30 for p. 5 Solve 95*u = 91 + 99 for u. 2 Solve 39*g - 8*g = -248 for g. -8 Solve -35 = 15*n + 10 for n. -3 Solve 9*i = 1069 - 1051 for i. 2 Solve -66*x = -48*x + 108 for x. -6 Solve -23 = 13*n + 55 for n. -6 Solve 13*p - 9*p = -20 for p. -5 Solve 0 = 27*k - 22*k - 20 for k. 4 Solve 12 = 20*i - 17*i for i. 4 Solve 20*l - 25 = 15*l for l. 5 Solve -362 = 10*i - 302 for i. -6 Solve -15 = 3*v - 27 for v. 4 Solve 51*f = 107*f for f. 0 Solve 72 = 12*o + 24 for o. 4 Solve 3*r = -10*r for r. 0 Solve -2157 = -29*t - 1925 for t. 8 Solve 6*p - 7*p - 2 = 0 for p. -2 Solve -4 - 16 = 5*z for z. -4 Solve 82 - 136 = 9*r for r. -6 Solve 2*y = 10*y for y. 0 Solve 91*t - 18 = 73*t for t. 1 Solve -169*k + 77 = -180*k for k. -7 Solve -26*a + 12 = -32*a for a. -2 Solve 4 = -a - 0*a for a. -4 Solve -7967 = 3*w - 7949 for w. -6 Solve 123*r = 115*r + 80 for r. 10 Solve 7*x - 4 = -4 for x. 0 Solve 121 = -9*g + 130 for g. 1 Solve 6 = 12*b - 10*b for b. 3 Solve -8*p = -2*p + 48 for p. -8 Solve -48 = -67*l + 75*l for l. -6 Solve -179*v + 183*v = 4 for v. 1 Solve -129 + 89 = -5*k for k. 8 Solve 4*i = -i for i. 0 Solve 0 = -16*g + g - 120 for g. -8 Solve -318*v + 77 = -329*v for v. -7 Solve -2*f - 17*f = -38 for f. 2 Solve 3*r = -4*r - 14 for r. -2 Solve 2 = m + 6 for m. -4 Solve 0 = 17*x - 2*x + 75 for x. -5 Solve -8*x = -2 + 10 for x. -1 Solve s = 118 - 116 for s. 2 Solve -3*b + 24 = 3 for b. 7 Solve c + 5 = 6*c for c. 1 Solve 10 = -5*x - 10 for x. -4 Solve 0 = -2*h + 49 - 41 for h. 4 Solve 15*k = 21*k - 36 for k. 6 Solve 2 = -54*m + 53*m for m. -2 Solve 73 = 16*p - 7 for p. 5 Solve 15 = -124*o + 119*o for o. -3 Solve -3 = -8*y - 35 for y. -4 Solve -2*t + 44 = -13*t for t. -4 Solve -p = -p - 2*p for p. 0 Solve 0 = 17*q - 20 + 122 for q. -6 Solve 68*m = 92
{ "pile_set_name": "DM Mathematics" }
69, -261345? -261179 What is next in 532, 530, 536, 550? 572 What comes next: 170, 146, 98, 14, -118, -310? -574 What is the next term in 497, 946, 1395, 1844, 2293? 2742 What comes next: 359, 745, 1177, 1679, 2275, 2989, 3845? 4867 What comes next: -10, -30, -42, -22, 54, 210? 470 What is next in 220126, 220121, 220116, 220111, 220106, 220101? 220096 What comes next: 146, 265, 404, 575, 790, 1061, 1400, 1819? 2330 What is next in -1395, -5580, -12553, -22314, -34863, -50200, -68325? -89238 What is the next term in -1195, -1353, -1785, -2629, -4023? -6105 What is the next term in 3246, 3100, 2856, 2514, 2074? 1536 What comes next: -11117832, -11117831, -11117830, -11117829, -11117828, -11117827? -11117826 What comes next: 20, 125, 386, 875, 1664, 2825? 4430 What is next in 2552, 2652, 2752, 2852? 2952 What comes next: -36348, -72693, -109038? -145383 What comes next: -123151, -246309, -369467, -492625, -615783, -738941? -862099 What is next in 761, 779, 799, 821? 845 What is the next term in 7998, 15982, 23966, 31950, 39934, 47918? 55902 What is the next term in -382, -1642, -3778, -6790, -10678, -15442? -21082 What is the next term in 183, 281, 293, 219, 59? -187 What is the next term in -14707, -14740, -14773? -14806 What is the next term in -7139, -7137, -7135, -7133, -7131? -7129 What comes next: 955, 1037, 1165, 1333, 1535? 1765 What comes next: 1477, 1455, 1417, 1363, 1293, 1207, 1105? 987 What comes next: -36606, -73206, -109806, -146406? -183006 What comes next: -566876, -1133747, -1700616, -2267483, -2834348, -3401211, -3968072? -4534931 What is next in -35434, -70856, -106278, -141700, -177122, -212544? -247966 What is next in 150449, 150448, 150447? 150446 What is next in -29341, -29342, -29349, -29368, -29405, -29466, -29557? -29684 What is the next term in -35395, -35387, -35375, -35359? -35339 What comes next: -139, -608, -1399, -2512, -3947? -5704 What is the next term in -52690, -52693, -52696, -52699? -52702 What is the next term in -22825, -45651, -68477, -91303, -114129, -136955? -159781 What is the next term in -292369, -292370, -292371? 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-2204 What is next in 2168, 2767, 3766, 5165? 6964 What comes next: 932, 1769, 2606, 3443, 4280, 5117? 5954 What is the next term in 650, 1397, 2146, 2897, 3650, 4405, 5162? 5921 What is the next term in -88, -27, 34? 95 What is next in -51751, -103503, -155255, -207007, -258759? -310511 What is the next term in -2284809, -2284813, -2284819, -2284827, -2284837, -2284849, -2284863? -2284879 What is next in 67, -143, -615, -1481, -2873? -4923 What is next in -73685, -147379, -221065, -294737, -368389? -442015 What comes next: -1220, -2427, -3634, -4841, -6048, -7255? -8462 What comes next: -9189, -36760, -82709, -147036, -229741, -330824? -450285 What is next in 453419, 453421, 453423, 453425? 453427 What is next in -232, -884, -1960, -3460, -5384, -7732, -10504? -13700 What is next in 350, 615, 888, 1175, 1482? 1815 What is next in -321, -235, -149, -63? 23 What is next in -136, -37, 130, 365? 668 What is next in 3700, 7437, 11204, 14995, 18804, 22625? 26452 What is the next term in -1959, -1386, -801, -198, 429, 1086? 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{ "pile_set_name": "DM Mathematics" }
t(187))*2)/(sqrt(1584)*1 + sqrt(22)/sqrt(2)*5). sqrt(17)/17 Simplify (-6*-3*(sqrt(19) + -1))**2 - (-5 + 2 + sqrt(19) + -1 + sqrt(19)) - (((-2*sqrt(19) + sqrt(19))*1 + sqrt(19))*-4 + sqrt(171)*5 + -1)**2. -620*sqrt(19) + 2208 Simplify 5 + (5*sqrt(65)/sqrt(5)*4 - (sqrt(832) - (2*(sqrt(832) + -2) + sqrt(832)))**2) + -1. -3340 + 148*sqrt(13) Simplify 1 + -5*(-4*((-1*(-1*sqrt(700) + sqrt(700) + sqrt(700)) - sqrt(700)) + 1) + -2)**2. -224179 + 4800*sqrt(7) Simplify -4*(sqrt(2835)*3*1)/(sqrt(784)/sqrt(7) + (sqrt(7) - (sqrt(7) + sqrt(14)/sqrt(2))*-3)). -108*sqrt(5)/11 Simplify 4*((-4 + (-3*sqrt(847) - sqrt(35)/(sqrt(30)/sqrt(6) - sqrt(5) - sqrt(5))))*3*4)**2. 147456*sqrt(7) + 4137984 Simplify -1 + ((2*sqrt(70) - sqrt(70))/sqrt(2))/((sqrt(70)/sqrt(2) + sqrt(35) + sqrt(35))/sqrt(5)) - ((sqrt(500)*2)/sqrt(10))/(2*sqrt(160))*4. -2*sqrt(5)/3 - 1 Simplify (-2*sqrt(567)*2*-1)/(6*sqrt(9)*-2*3*-5). sqrt(7)/15 Simplify ((((5*sqrt(245) - sqrt(245))*-1 - sqrt(245))/sqrt(5)*-6)/(sqrt(49)/sqrt(700) - -1*(sqrt(7) + sqrt(21)/sqrt(3))))**2. 10000/7 Simplify -6*(-1*sqrt(75) + -5)**2 - (1*(2 + sqrt(3) + sqrt(3))*5 + 3)**2. -1069 - 560*sqrt(3) Simplify 4*(sqrt(192) + (3 + sqrt(192)*1 - sqrt(192)))**2*2 - (-1 + (sqrt(192) + -1 + -1 - sqrt(192)))**2*5. 384*sqrt(3) + 1563 Simplify 1 + ((sqrt(240)/(sqrt(10) - -1*sqrt(1000)))/(6*sqrt(32)*1))**2. 5809/5808 Simplify (1*2*((4*(0 + sqrt(2299)) + -1 + sqrt(2299) + -1 - (2*sqrt(2299) + 5 + -3)) + -5))**2. -2376*sqrt(19) + 83088 Simplify (6*-5*(sqrt(1300)*5*-4 + -4)*3)**2*1. 12960000*sqrt(13) + 4212129600 Simplify (((sqrt(1300) - (-4 + sqrt(1300)) - sqrt(1300))*-4 - (sqrt(1300) - (sqrt(1300) + 3 + 2 + sqrt(1300))))**2*-6 + 0)*5. -978630 + 33000*sqrt(13) Simplify ((sqrt(12) + sqrt(120)/(-2*sqrt(10) - sqrt(10)))/(6*sqrt(6)/sqrt(2)))/(-3*sqrt(14)/sqrt(7) + sqrt(128) + sqrt(128)*-5). -sqrt(2)/315 Simplify ((-3*(sqrt(576)*-1 + sqrt(16)/sqrt(4)*6))/(-6*sqrt(8) - sqrt(16)/sqrt(288)))**2. 23328/5329 Simplify 3*((((1*sqrt(204) + sqrt(204))*4)/sqrt(4))/(sqrt(18)/(sqrt(54) - sqrt(6)) + sqrt(108) + sqrt(12)))**2. 768/17 Simplify ((sqrt(171) - ((-1*sqrt(171) + -5 - sqrt(171)) + sqrt(171)))**2 - sqrt(171)) + 4 + -4*(-3 + sqrt(171) + -2*sqrt(171)) + 1. 69*sqrt(19) + 726 Simplify (sqrt(175)/(sqrt(100)/sqrt(5)))/(-2*sqrt(112)*-3) + 4 + 0. sqrt(5)/48 + 4 Simplify (-4 + 2*-5*((4*sqrt(242)*1 + sqrt(242))*5 + 1*(3 + sqrt(242) + 0)))**2. 194480*sqrt(2) + 16360356 Simplify -1 + (2 + ((sqrt(2448)*-2 + 1)*-3)**2 - (0 + -4*sqrt(34)/sqrt(2) + (sqrt(187)*-1)/sqrt(11))). -427*sqrt(17) + 88138 Simplify ((sqrt(66) - (sqrt(66) + (sqrt(66) - (sqrt(66) + 2*sqrt(66))))*4)*-3*-3)/((sqrt(4374)*-2 + sqrt(4374))*-1). 5*sqrt(11)/3 Simplify ((-5 + sqrt(1331)*1)*-5 - (sqrt(1331) + 0 + -3 + ((-1 + sqrt(1331))*5 - sqrt(1331)))**2) + -5. -33319 + 825*sqrt(11) Simplify (((5*sqrt(385)*2)/(sqrt(112)*-1))/(-4*sqrt(704)*-5))**2. 5/4096 Simplify (3*(2 + sqrt(1088) + 4 + sqrt(1088))*-5 - (2 + sqrt(1088) + sqrt(1088)*-3 + -2)*-2)**2. 48960*sqrt(17) + 1265828 Simplify -5 + (-5 + (sqrt(52) + 5)**2 + sqrt(13) + sqrt(2106)/sqrt(2) + sqrt(13))*-6*5. -930*sqrt(13) - 2165 Simplify -2 + ((sqrt(612) + sqrt(612) + 0)*3 - sqrt(612) - sqrt(612))**2 - (-2*sqrt(1088)*5 + -6*(sqrt(1088) - sqrt(1088)*1)). 80*sqrt(17) + 9790 Simplify (((sqrt(2268) + 0 - sqrt(2268)) + -1)**2 - ((0 + sqrt(1372))**2 + (sqrt(140)/((sqrt(5) - (sqrt(20) - sqrt(5))) + sqrt(5)))**2))*2. -2798 Simplify -3 + 5 + ((-3*sqrt(72) - sqrt(72))/sqrt(6)*-3)/((sqrt(6) - sqrt(24)*1) + sqrt(6) - sqrt(54)/(sqrt(27)/sqrt(3))). -12*sqrt(2) + 2 Simplify ((-1*((-1*sqrt(315) - sqrt(315))*-6 + -1*sqrt(315)*2))/(1*(sqrt(5) - sqrt(720)*-2)*-1))**2. 252/25 Simplify ((sqrt(208) + sqrt(208)*1)*-6 + -1 - -6*((sqrt(208) - (sqrt(208)*3)**2) + -4)) + -2. -11259 - 24*sqrt(13) Simplify ((-2 + -2*sqrt(833) + -4 + sqrt(833) + -1)*2 + -4*(1*sqrt(833) + 2 - sqrt(833)) + 1)**2. 588*sqrt(17) + 3773 Simplify -1*(sqrt(5) - (sqrt(5) + 2)) + sqrt(10)/(sqrt(2)*-2) + 4 - (4 + (sqrt(500) - (sqrt(500) - -1*sqrt(500)*2) - (sqrt(500) - 1*sqrt(500))*-3))**2. -2010 + 319*sqrt(5)/2 Simplify 1*(5 + 2 + (1*(sqrt(396) + 2) + sqrt(396) + -4*sqrt(396)*1)**2). -48*sqrt(11) + 1595 Simplify ((-4 + 5*(-2 + ((sqrt(187) - (1*sqrt(187) - sqrt(187)))/sqrt(11) - (sqrt(68) + -4))))*-3)**2. -540*sqrt(17) + 4149 Simplify 1 + (((sqrt(2299)*1 + 1)*-1)**2 - (sqrt(76)/sqrt(4)*4 - (1 + sqrt(1539) + sqrt(1539))**2)*-6). -34641 - 170*sqrt(19) Simplify -4 + -4 + (3*(sqrt(33)/sqrt(3))**2 - (2*-2*sqrt(11) - sqrt(11)) - ((sqrt(110)*2)/sqrt(10) + (sqrt(110) - sqrt(110)*-2 - sqrt(110))/sqrt(10))). sqrt(11) + 25 Simplify -3 + -2 + ((sqrt(1152) - -1*(sqrt(1152) + 0) - (0 + sqrt(1152) + 4))*5)**2*6. -28800*sqrt(2) + 175195 Simplify ((4*(1*sqrt(784) + sqrt(784))*-5)/((-1*sqrt(80))/sqrt(10) - 1*(sqrt(48)/sqrt(6) - sqrt(8))))**2. 156800 Simplify -4*(2*sqrt(252)*-2 - (2 + sqrt(252) + -1*sqrt(252)))**2 - (((sqrt(224)*6)/(sqrt(88)/(-1*sqrt(11))))**2 + 4). -17156 - 384*sqrt(7) Simplify 6*(((sqrt(18) + 0)**2 + sqrt(320)/sqrt(10))*4 + ((sqrt(2) + 2)*4 - (1 + sqrt(6)/sqrt(3)))**2). 348*sqrt(2) + 834 Simplify (5*(sqrt(133) + sqrt(133) + sqrt(133)*-2 + sqrt(133)))/(sqrt(21)/(sqrt(12)/sqrt(4)) + sqrt(7)) + -1 + (sqrt(931) - -5*(-1 + sqrt(931))). -6 + 89*sqrt(19)/2 Simplify (3*(sqrt(105)/sqrt(5) + sqrt(21)) + (sqrt(21) - (sqrt(21) + (sqrt(1701)*-2 - sqrt(21) - sqrt(21)))))/((sqrt(27)*-3)/sqrt(9)*3). -26*sqrt(7)/9 Simplify -5 + (sqrt(104) + (-2*-6*sqrt(104) + sqrt(104) - sqrt(104)) + sqrt(104))/(6*sqrt(648)) + -3. -8 + 7*sqrt(13)/27 Simplify ((sqrt(140) + -1*(sqrt(140) + (sqrt(140) - (sqrt(140) - sqrt(140)*2 - sqrt(140)))) - sqrt(140))*-4)/(sqrt(60)/(-6*sqrt(12)*1)*-3). 64*sqrt(7) Simplify (4*sqrt(294)*-3)/(sqrt(2) - (sqrt(2) + 1*sqrt(128) + sqrt(128)) - sqrt(400)/sqrt(8)). 4*sqrt(3) Simplify -4 + (-4*(sqrt(7) + -2))**2 + (sqrt(567)*-3)**2 + (sqrt(63)*2 - (sqrt(7) + -2)*4) + 4. -62*sqrt(7) + 5287 Simplify (sqrt(1344) - 1*sqrt(1344))/((-2*sqrt(21))/sqrt(7)) + sqrt(7)*-2*1*1 + (1 + (sqrt(7) - (sqrt(14)/sqrt(2) + sqrt(7))) + sqrt(7))*-2. -2*sqrt(7) - 2 Simplify 5 + 3*(sqrt(1088) + 1) + 4 - (6*(-1 + 1*sqrt(1088) + -5))**2. -40452 + 3480*sqrt(17) Simplify (-6*(sqrt(833) + 2) + -3*(sqrt(833)*-2)**2)*-6 - ((-1 + (-1*sqrt(833) - sqrt(833)) + -1)*-5)**2. -23352 - 1148*sqrt(17) Simplify -2 + (sqrt(288)*-1 + 6*sqrt(18)*-1)/((1*sqrt(6912))/(((sqrt(56) - sqrt(896)) + sqrt(56))/sqrt(7))). -2 + 5*sqrt(3)/3 Simplify (6*(-5 + -5*(1 + sqrt(288) + 4 - ((sqrt(288) + 1 - sqrt(288)) + -4))*-1)*-6)**2. 5443200*sqrt(2) + 10918800 Simplify (2*sqrt(72)*-1)**2 - ((3 + sqrt(72) + sqrt(72))**2 + 1) - (sqrt(18) - 3*sqrt(2592))/(3*-3*sqrt(9)). -683*sqrt(2)/9 - 10 Simplify -2 + (-3*(sqrt(88) + sqrt(88) + sqrt(88)*1 + sqrt(88))*2)/(sqrt(22)/(sqrt(539)*-5 - sqrt(11))). -2 + 1728*sqrt(11) Simplify (1*sqrt(1078))/sqrt(2) + -4 - (sqrt(11) + 4 + 0 - sqrt(11) - (-1*sqrt(11) + 2))**2. -19 + 3*sqrt(11) Simplify (-4*(sqrt(245) + -2*sqrt(245)) + -4 + 1*sqrt(245))**2 - ((sqrt(220)*3)/sqrt(11) + 4). -286*sqrt(5) + 6137 Simplify -2 + ((sqrt(2) - sqrt(98)*2)**2 - sqrt(288)/sqrt(9) - (3 + (3*(1 + sqrt(8)))**2)). -40*sqrt(2) + 252 Simplify ((-5*2*sqrt(1400) + sqrt(1400))*-4)/((-2*(sqrt(1152) - (sqrt(1152) - sqrt(1152)*-1)) - sqrt(1152))*3). 5*sqrt(7) Simplify ((sqrt(175) + 2)*5 + 5 + (sqrt(49)/(sqrt(7)*-2 - sqrt(7)) - sqrt(112)*3))**2. 380*sqrt(7) + 12133/9 Simplify (3 + (-2*-6*((sqrt(180)*3)/sqrt(6))/(-4*(sqrt(10) + sqrt(70)/sqrt(7))))**2)*-4. -255 Simplify ((sqrt(55)/(sqrt(30)/sqrt(6)) - sqrt(11)) + (sqrt(704) + 1)**2)*3 - ((sqrt(33) + sqrt(231)/sqrt(252))/(sqrt(12)/(sqrt(8)/sqrt(2))))**2. 48*sqrt(11) + 75601/36 Simplify (-2*-1*sqrt(78) - (sqrt(78) - (sqrt(78) + ((sqrt(78) + 2*sqrt(78))*6 - sqrt(78)))))/((sqrt(48) - 5*sqrt(48)*1)/(sqrt(32)/sqrt(4)*-6)). 57*sqrt(13)/2 Simplify ((-4 + sqrt(684) + -1 + sqrt(684) - (sqrt(684) + sqrt(684)*-2*-6 - sqrt(684)))*4)**2 + 2 + (2 + (0 + sqrt(684) + sqrt(684))*5)**2. 9840*sqrt(19) + 1163206 Simplify (-3*(sqrt(143) + -3*sqrt(143) + sqrt(143)) + (sqrt(143) - sqrt(143)*4*5 - sqrt(143)))/(-1*sqrt(396)*6 - (sqrt(396) + 2*sqrt(396))*-1). 17*sqrt(13)/18 Simplify (2*(-2*sqrt(5600) - sqrt(168)/(sqrt(3)*-2)))/(((2*sqrt(96) - sqrt(96))*1)/(sqrt(108) - sqrt(108)*2)). 117*sqrt(7) Simplify (((-1 + sqrt(1100) + -2)*-1 + (5*(sqrt(1100) + 0)
{ "pile_set_name": "DM Mathematics" }
a multiple of 64? True Suppose 2*w = -2*g + 4134, g - 8*w - 114 - 1998 = 0. Is 10 a factor of g? False Suppose 22 = 5*a - 4*k, -4*a + 15 = -5*k - 8. Let o be (-4)/(a/2 + -2). Suppose 0 = 4*i - 4*c - 872, -2*c - 25 + 885 = o*i. Is i a multiple of 54? True Let f = 7 - -9. Let x be (-1 - -1) + f*2. Let p = 46 + x. Is 13 a factor of p? True Let o(t) = 522*t + 306. Is 36 a factor of o(5)? True Let i = -36 - -34. Let q be (-7)/(-3) - i*1/3. Suppose -w - 9 = 2*w, 282 = q*x + w. Is 19 a factor of x? True Let j = -140 + 665. Let s = -250 + j. Suppose 2*r = -4*a + 84, a + s = 5*r - 2*a. Is r a multiple of 26? True Let r(t) = 693*t**2 + 172*t + 475. Is 11 a factor of r(-6)? False Suppose w = -5*q - 2*w + 15, 2*w - 10 = 3*q. Suppose 0 = -3*d + 3*p + 519, -5*d + q*p + 869 = -3*p. Is (-36)/15*d/(-10) a multiple of 6? True Let b(j) = 62*j**2 + 73*j + 337. Is 65 a factor of b(-5)? False Let g be (-4)/(-7) - (-984)/42. Is 28 a factor of 4/g*(1158 - 0)? False Is 19/(437/(-6624))*(-4 - 1) even? True Suppose 20 = -5*m + 4*d, 0 = -5*m - d - 0*d - 45. Let y(v) = 3*v**2 - 11*v - 32. Does 50 divide y(m)? False Let b = -44 + 60. Suppose 4*u = b*u - 4908. Suppose -o - 5*q - u = -5*o, 2*o = -3*q + 177. Does 35 divide o? False Let r = 15102 - 14960. Is 4 a factor of r? False Let r = 1 + 1. Suppose -2*a - 30 = -5*i, 13*i - 16*i + 5*a = -18. Suppose -i*h + r = -58. Is h a multiple of 7? False Let c(l) = -2*l**3 - 7*l**2 + 38*l + 48. Let g(n) = n**3 + 3*n**2 - 18*n - 23. Let z(f) = 6*c(f) + 13*g(f). Is z(10) a multiple of 17? True Let w(v) = 35*v - 9. Let d(g) = -16 + 52*g + 17*g + 0*g + g**2 - 3. Let q(s) = -2*d(s) + 5*w(s). Is q(15) a multiple of 14? True Let l(p) = p + 19. Let t be l(-16). Suppose 27 = 2*r + 5*i, t*i = -4*r + 11 + 8. Is (-378)/45*((2 - r) + -6) a multiple of 13? False Suppose -26397 = 16*j + 5*j. Let h = 2540 + j. Is 17 a factor of h? False Let h(k) = 4*k + 99. Let x be h(-27). Is 15 a factor of 2/x - 13568/(-144)? False Suppose -13*m + 13 = -39. Suppose -m*c - 12 = -8*c. Suppose -4*d - 56 = -c*p, 5*p - 88 = 2*p - 4*d. Is 4 a factor of p? True Let d(g) = g**3 - 31*g**2 + 48*g + 5. Suppose -349 + 49 = -10*o. Is d(o) a multiple of 20? False Let n be 2 - (2 - 594 - 3). Suppose 0 = 8*a - n + 125. Let f = a + -41. Is f a multiple of 3? True Let u(q) = q**2 + q - 1. Let y be u(3). Suppose 4*m = c - y, -3*c = -m + 4*m + 27. Let z(r) = -r**2 - 6*r + 4. Does 3 divide z(m)? True Suppose 2*f = 7*f + 10. Suppose 8*q = q + 126. Is 994/q - f/(-63)*7 a multiple of 8? False Let b = 736 - 153. Suppose -5*t - 1 = 4*r - 9, -4 = 3*t - 2*r. Suppose -5*h + b = j, -3*h + 2*j + 342 = -t*j. Does 18 divide h? False Let v(l) = -l**3 + 2*l**2 + 13*l + 3. Let t be v(5). Let f(c) = c**3 + 5*c**2 - 14*c + 2. Let z be f(t). Suppose 5 = -z*y + 35. Does 5 divide y? True Let n(d) = -2*d**2 + 62*d + 3. Let y be n(31). Suppose 0*k + 3*t - 2493 = -y*k, -2*k - t + 1665 = 0. Is 30 a factor of k? False Let y = 25778 - 19380. Is 7 a factor of y? True Let v(s) be the first derivative of -9/2*s**2 + 7 - 4*s. Does 4 divide v(-4)? True Suppose 5*t + 15 = 0, -8*t - 15 = 3*g - 4*t. Does 31 divide 45/(-30)*((-194)/6 - g)? False Let j(w) = -w - 1. Let g be j(-6). Suppose g*o - 47 = -12. Suppose 6 = o*a - 449. Is a a multiple of 13? True Suppose 5*z = 4*a - 10, 0 = 4*z - a + 2*a - 13. Let y(t) = 0*t**2 + 0*t**2 - 3*t - 1 + 10*t**2 + 36*t**z. Does 27 divide y(-2)? True Does 7 divide 30 + 189010/75 + ((-28)/(-15) - 2)? False Let t(j) = -7*j + 6. Let i(l) = 6*l - 7. Let g(u) = 4*i(u) + 3*t(u). Let d be g(5). Suppose d*h - 3*m = -0*m + 230, 2*m = 0. Does 12 divide h? False Let f = 3546 - -2111. Is 10 a factor of f? False Let s(z) = -1351*z + 77. Is 7 a factor of s(-13)? True Let s(i) = 306*i + 11. Let p be s(-2). Let k(v) = -3*v**2 + v + 29. Let n be k(-12). Let q = n - p. Is q a multiple of 28? False Suppose 5*x = -4 + 94. Suppose -4*r + 621 = 5*r. Let o = r + x. Is 9 a factor of o? False Suppose 4*u = -123 - 53. Let s = u - -68. Is (40/s)/(1*(-1)/(-72)) a multiple of 10? True Let w(g) = 207*g + 2808. Does 11 divide w(29)? True Let n be -1*(-4)/1 + 4. Suppose 4*v + 2*c = n, -c + 10 = 2*v + 2*v. Suppose -v*p + 4*m = -57, -2*p + 2*m + 3*m = -45. Is p a multiple of 15? True Let m(a) = 5*a + 9. Let x be m(2). Let z(s) = 9*s**2 + 2*s**3 - x - s**3 + 1 + 5*s. Is 6 a factor of z(-8)? True Let j(f) = -133*f - 2. Let s = -377 - -372. Is j(s) a multiple of 51? True Suppose a = -5*q - a + 4530, -4*a + 1812 = 2*q. Suppose -3*x = 2*r - q, 4*x - 5*r = 7*x - 915. Is 25 a factor of x? True Let g = -175 + 101. Let d(w) = 28*w - 361. Let n be d(13). Let v = n - g. Is v a multiple of 9? False Let h = 22644 + -11968. Is 49 a factor of h? False Let s be ((-40)/(-28))/(4/28). Is (-1753)/(-4) - s/8 a multiple of 23? True Let k(c) = 2*c**2 + 33*c - 24. Suppose -5*t + 7*s - 114 = 5*s, 5*s = -15. Does 56 divide k(t)? True Suppose 4*m = 41*n - 40*n - 707, -2*n - 5*m = -1349. Is 2 a factor of n? False Let v = 1890 + 148. Suppose -2*y + 3*y - 2032 = -5*f, 5*f - y = v. Is 8 a factor of f? False Suppose -11*a - 22512 = 13*a - 28*a. Is 84 a factor of a? True Let p(x) = -x**2 + 3*x - 1. Let g be p(0). Let z be (-10 + 11)*(-2 - g)/(-1). Is 269 - (-2)/z*-2 a multiple of 50? False Let p(r) be the third derivative of r**4/2 + 10*r**3/3 - 80*r**2. Suppose -i + 3 = -1. Is p(i) a multiple of 15? False Let g = -37 + 41. Suppose g*b + 1 = -5*q, 2*q - b + 4*b = -6. Suppose 0 = 11*s - q*s - 440. Is s a multiple of 11? True Let k(j) = -j**2 + 2*j + 145. Let p = -65 + 65. Let r be p/(-1)*3/(-6). Is 47 a factor of k(r)? False Suppose k - 3*k = -2*b + 88, 4*k + 5*b + 131 = 0. Does 18 divide (2/(2/391))/((-13)/k)? False Let y(u) = -3*u**2 + 70*u - 67. Is 6 a factor of y(22)? False Let h = 116 - 85. Suppose -2*c + 386 = 2*o, h = -5*o - c + 1016. Does 11 divide o? True Suppose 28 - 62 = -17*j. Is j*(-1)/(-3)*5757/202 a multiple of 19? True Let k(y) = y**3 - 8*y**2 + 10*y + 16. Let x be k(6). Suppose -x*f + 973 = 325. Does 3 divide f? True Let g(n) = -13*n + 35 + 0*n - n + 2*n**2. Let p be g(6). Suppose 762 = -17*w + p*w. Does 8 divide w? False Let p(i) = -i**2 - 14*i - 20. Let z = -7 + -3. Is 5 a factor of p(z)? True Suppose -5*o - 2*m + 20 = -0*o, -4*o = -2*m - 34. Let f(t) = -t**3 + 7*t**2 + 11*t - 12. Does 19 divide f(o)? False Let k(l) = l**2 - 13*l + 21. Let w be k(9). Is 9 a factor of 454/4 + w/6*1? False Let y(v) = -v + 19. Let j = 22 + -18. Suppose -2*f = j*r + 43 + 3, -5*f + r = 60. Is y(f) a multiple of 8? True Let k = 17446 - 10318. Is k a multiple of 54? True Let a be 145*-6*99/(-90). Let x = a + -494. Is 18 a factor of x? False Suppose 0*b = -3*b + 9. Let q(u) = -u**3 + 3*u**2 - 4*u + 4. Let v be q(b). Does 16 divide 2/(v/(-180)) - -3? True Suppose -4296 = -4*q - 3*t, 3*t = -33*q + 32*q + 1083. Does 42 divide q? False Let s(y) = -23*y - 95. Let f be s(-6). Suppose 181 - f = 3*z. Is z a multiple of 22? False Is 36 a factor of (-59447880)/(-7920) - (-1)/(-22)? False Let w = 32228 - 19061. Is w a multiple of 12? False Suppose 24*h + 34195 = 32*h - 34757. Is 41 a factor of h? False Let h(r) = -49*r - 4. Let y be h(-1). Suppose -c + 11 + y = 0. Is (-890)/(-14) + 24/c a multiple of 16? True Let t(i) be the first derivative of 18*i**4 - i**3/3 + 3*i**2 - 17*i + 93. Is 23 a factor of t(2)? False Let s be 8/(-12)*(-6)/4. Suppose -5*i = 2*z - s + 11, -2*i = -z + 4. Suppose 2*u + 3*u - 15 = z. Is 2 a factor of u? False Let f(v) = -38*v**3 - 12*v**2 - 5*v - 96. Is f(-9) a multiple of 14? False Suppose -37*t - 2508125 = -57*t - 105*t. Is 24 a factor of t? False Suppose -3*o = -0*l + l - 616, -631 = -l + 2*o. Suppose i - 2*s + 184 = l, 441 = i + 4*s. Does 49 divide i? True Let y(p) = 46*p**3 - p + 2. Suppose -2*j + 7*j - 25 = 0. Suppose -j*d - r + 9 = 0, -r = 2*d - 8 + 2. Is 8 a factor of y(d)? False Let l be (1095/(-20))/((-8)/32). Let s = -14 + l. Is s a multiple of 41? True Suppose -180*x + 37443 + 10075 = -157*x. Is 8 a factor of x? False Suppose -5*y - 116 = -596. Let b(p) = -2*p - 4. Let n be b(0). Let o = y - n. Is o a multiple of 17? False Let y be (-5 - 9) + 4 + 5. Let b(t) = 22*t**2 - 22*t + 20. Is 10 a factor of b(y)? True Let o be -66*8/(-144) - 4/6. Suppose -o*s + i - 4*i = -237, -4 = i. Is 8 a factor of s? False Suppose -12*r + 15*r = -5*
{ "pile_set_name": "DM Mathematics" }
is the closest to 0 in -1/9, -19, 13? -1/9 Which is the closest to -2? (a) -4/5 (b) 2/9 (c) -3/5 (d) 8 a What is the closest to 0.1 in 5, 3, 19, -0.3? -0.3 Which is the nearest to -0.3? (a) -0.5 (b) 6 (c) 0.3 (d) -0.3 d Which is the closest to 396? (a) 0.1 (b) -2 (c) 0.2 (d) -0.3 c Which is the nearest to 0.1? (a) 2/23 (b) 0.5 (c) -0.5 (d) -2/15 a Which is the closest to 0.2? (a) -1 (b) 1/3 (c) -0.2 (d) 33 b What is the closest to 0.1 in 9, -0.5, 1/5, -2? 1/5 What is the nearest to -2/13 in 15, -6/7, 0? 0 Which is the closest to -1? (a) 5 (b) 3 (c) 47 (d) -0.5 d Which is the nearest to 2? (a) 0.5 (b) -0.036 (c) -5 (d) 5 a What is the nearest to -0.033 in -2/5, -0.2, 1? -0.2 Which is the nearest to -1/4? (a) 1/4 (b) -0.194 (c) 1/2 b What is the closest to 1 in 4, -1/5, -0.5, 1? 1 Which is the nearest to 5? (a) -5 (b) 2/17 (c) -2/7 b What is the nearest to 2/3 in -2, -0.03, 3/2? -0.03 What is the closest to 2 in -4, 5, 3/7, -2/5? 3/7 Which is the closest to 1? (a) 2 (b) 3 (c) -0.4 (d) -3 a Which is the nearest to -1? (a) -3/4 (b) 2 (c) -1/2 (d) 15 a What is the closest to -0.1 in -1/5, -1, 2/5, 1? -1/5 What is the closest to 0.059 in -3/4, 0.2, -6/13? 0.2 What is the closest to 0.06 in -0.1, -5, 0.3, -3? -0.1 Which is the closest to 0? (a) 192 (b) -2/3 (c) -7/2 (d) 1/3 d What is the nearest to 2/3 in -4, -1/29, 4/9, -5? 4/9 What is the closest to -1/4 in 2/3, -0.4, 5, 3? -0.4 What is the nearest to 0.1 in -2/19, 5/2, 2/235, 5? 2/235 Which is the nearest to -2? (a) -1 (b) -4 (c) -0.06 a Which is the closest to -0.1? (a) 0.068 (b) -0.03 (c) -0.5 (d) -0.4 b Which is the nearest to -2/21? (a) -1/3 (b) -0.4 (c) 36 (d) -1/2 a What is the closest to 2 in 352, 0.1, 2? 2 What is the closest to -50 in -0.1, -2/15, 1/4, 4/7? -2/15 Which is the closest to 0.2? (a) -2 (b) -1 (c) 76 b What is the nearest to -0.1 in -265, -2, -1, -4? -1 Which is the closest to -1/6? (a) -0.1 (b) 2 (c) -2/5 (d) 5 a Which is the closest to 0? (a) 1/7 (b) -2/45 (c) 5 (d) 4/11 b Which is the closest to -2/3? (a) 4 (b) 9 (c) -1 (d) 4/9 c Which is the nearest to -1? (a) -1/3 (b) 4 (c) -1 (d) 0.116 c Which is the closest to -0.2? (a) 0.3 (b) -4 (c) 0.017 c Which is the nearest to 32.6? (a) -0.3 (b) 0 (c) -1 b What is the closest to 1 in 2, -2/11, -6, -5? 2 What is the closest to 2/7 in 0.001, -4, -2/13, 3? 0.001 What is the nearest to -1/4 in 2/13, -0.2, 0.3? -0.2 What is the closest to -1 in 27, -2, -0.5, 5? -0.5 Which is the closest to -0.2? (a) -5 (b) -0.2 (c) 2 (d) -8 b What is the closest to -1/3 in -2, 1, 1/3, -1/12? -1/12 What is the closest to -1 in 12, -1, 4? -1 What is the closest to 13 in -0.5, 0.1, -4/5, -0.3? 0.1 What is the closest to 0.2 in 2, 0, 0.072? 0.072 What is the closest to 1/3 in 13, -6, 3? 3 What is the closest to -0.3 in 0, 0.4, -0.5, -6/7? -0.5 What is the closest to 1/26 in -1, -2/85, 0.2? -2/85 What is the nearest to -1/2 in 1, -12, -7? 1 What is the closest to 1 in -1/3, 3631/2, 2? 2 Which is the nearest to 11? (a) -0.2 (b) -1 (c) -6 (d) -2 a What is the closest to 2/11 in 0.2, 4/3, -5, -2? 0.2 Which is the closest to -0.1? (a) -4 (b) 0.3 (c) 0.02 (d) 0.19 c What is the nearest to 1 in -6, 6, -60? 6 What is the nearest to 1/8 in -22, -5, -2/11? -2/11 Which is the nearest to 20? (a) -5 (b) 5/4 (c) -0.5 b What is the nearest to 3/5 in -7, 0, -0.6? 0 What is the closest to 1/4 in -4, 0, -0.5903? 0 Which is the nearest to -3/8? (a) 5 (b) 2 (c) -1/10 (d) -1/3 d What is the nearest to 1 in -7/6, -4, 1/2, 7? 1/2 What is the closest to -3 in -5, 0.4, -4, 0.04? -4 What is the closest to 0 in 12, -84, 5? 5 Which is the nearest to -0.21? (a) 0.5 (b) -45 (c) -4 a Which is the nearest to 3/2? (a) -0.1 (b) 2/5 (c) -2/13 b Which is the nearest to -1? (a) -0.4 (b) -1/5 (c) 72 a Which is the nearest to 2/41? (a) 0 (b) -2 (c) 6 a Which is the nearest to -3? (a) 5 (b) -6 (c) -0.5 (d) 0.1 c What is the closest to 1 in -100, 2/7, -5? 2/7 Which is the closest to -2/3? (a) 2/9 (b) -16 (c) 0.2 (d) 0.3 c Which is the nearest to -1/2? (a) -2/7 (b) -5 (c) -2 (d) 152 a Which is the nearest to 1? (a) -1 (b) -1/24 (c) 2 (d) 6/7 d What is the nearest to 2/9 in 3/7, 1/4, 0.03, 0.1? 1/4 What is the nearest to -0.11 in 5, 4/9, -0.2? -0.2 What is the nearest to -4 in 1, -5, -0.5, -2/21? -5 What is the closest to 1/2 in 0, -1/2, -2/29, -0.4? 0 What is the closest to -0.1 in 0.3, 1/7, 138, 1? 1/7 What is the closest to -0.1 in -4, -36, -0.28, 1/4? -0.28 What is the nearest to -2 in -2, -0.2, -0.4, -6.9? -2 Which is the nearest to 0? (a) -5 (b) 4653 (c) -3/2 (d) -1/8 d What is the closest to -2/15 in 4, -0.1, 5/8, 3? -0.1 Which is the closest to -9? (a) 3 (b) -1/2 (c) 0.2 (d) -3/5 d Which is the closest to 1/5? (a) -2/11 (b) 3 (c) -1/8 c What is the nearest to 701 in 0, 2, 0.5, 2/7? 2 What is the closest to 137 in 2/11, -3/5, -0.3, -1? 2/11 What is the nearest to -9/4 in 0.4, 1, -4? -4 What is the nearest to -1/9 in -63, -3, 2/13, 0.2? 2/13 What is the closest to 0.084 in -5/4, -2, -0.2, 3? -0.2 What is the closest to 1 in 0.2, 1/13, 1/4, -10? 1/4 Which is the closest to 0.1? (a) -0.5 (b) 1/3 (c) -0.9 (d) -3/11 b What is the closest to -0.2 in -5, 0.2, -2.5, -11? 0.2 Which is the nearest to -3? (a) -0.5 (b) -5 (c) -93 (d) -0.1 b Which is the nearest to 37? (a) 1 (b) 1/5 (c) 2/3 (d) -2 a Which is the nearest to -2? (a) 0.07 (b) -1/6 (c) -3 c What is the nearest to -0.014 in -2, 0.2, -1, 0.1? 0.1 Which is the nearest to -0.5? (a) 0.03 (b) 2 (c) 5 (d) -1 d What is the nearest to 1/4 in 2, 3/35, -4? 3/35 Which is the closest to -0.1? (a) 68 (b) -1.6 (c) -0.5 c What is the closest to -3 in 4/3, 1, 14/9, -0.2? -0.2 What is the closest to 5/14 in 0.2, 0, -26, 5? 0.2 Which is the nearest to 14? (a) 4 (b) 10 (c) -5 (d) -1/4 b Which is the nearest to -3/2? (a) 0 (b) 1/8 (c) 1 (d) 1/3 a What is the closest to 2/7 in 0.07, -5, -0.04, -4? 0.07 Which is the closest to -34? (a) -0.5 (b) 0 (c) -5 (d) 4 c What is the closest to 1 in -3/7, 4, -0.2, 41? -0.2 Which is the closest to 0? (a) 0.4 (b) -4 (c) -1/8 (d) 0.05 d What is the nearest to -2/5 in 0, -0.3, -4, -5? -0.3 Which is the closest to -0.2? (a) -411 (b) -0.4 (c) -0.5 b What is the nearest to 0 in -1, -14, 0, 6? 0 What is the nearest to -5 in -10, -0.2, -0.04, 3? -0.2 Which is the nearest to 89? (a) -2 (b) 5 (c) 10 c What is the nearest to -2 in 5, 0.5, -7, 0? 0 What is the closest to -1/3 in 0, -1/19, -3/5, 1/2? -3/5 Which is the nearest to -140? (a) 0.08 (b) 0.1 (c) 4 a Which is the closest to 0? (a) -3 (b) 0 (c) 1 (d) 3/5 b Which is the closest to 2/3? (a) 18.7 (b) 5 (c) -0.4 c What is the closest to 17 in -48, 0.4, 3, 0.2? 3 What is the closest to 0.1 in -2/7, -70, 5? -2/7 What is the nearest to 2/13 in -1/5, -1012, 3/2? -1/5 Which is the nearest to -82? (a) -3 (b) 0 (c) 2 (d) 3 a What is the closest to -2 in 2075, -5, 0.5, -6/7? -6/7 What is the closest to -0.1 in 1/10, 3, -24? 1/10 What is the nearest to 0.2 in 5, 3, -3, 0.4? 0.4 What is the closest to -0.1 in -20, -1/8, -2, 3? -1/8 What is the nearest to -1/4 in 0, -0.1, -1/125? -0.1 Which is the closest to 1? (a) 2/7 (b) -1/8 (c) -5 a What is the nearest to -1/2 in 0, 2/15, 5, 12? 0 What is the closest to 0 in -1/4, 1/5, -8? 1/5 Which is the closest to -2? (a) 0.5 (b) 4 (c) -4/7 (d) 2 c Which is the closest to -7? (a) 0.9 (b) 0.1 (c) 4 b Which is the closest to 0.1? (a) -0.05 (b) 1.6 (c) 3/8 a Which is the closest to 2/13? (a) 1 (b) -0.036 (c) -4 b What is the nearest to -2 in 0.02, 1/5, -9/5? -9/5 Which is the nearest to -0.072? (a) 8 (b) 2/9 (c) 2/11 (d) 2 c What is the closest to 1 in -2/7, 0.04, -0.2? 0.04 Which is the closest to 0? (a) -8 (b) -0.52 (c) 1/2 c What is the nearest to -3 in -0.01, -7, 1/5, 0.3? -0.01 Which is the nearest to -2? (a) -2 (b) -9 (c) 30 a Which is the nearest to -1? (a) 0.04 (b) -2 (c) 4 b Which is the nearest to 0.1? (a) -4 (b) 0.1 (c) -5 (d) 11 b What is the nearest to 2 in 4, -9/2, -2.7? 4 Which is the nearest to 4? (a) 1/6 (b) 1 (c) 2/11 b What is the closest to -25 in 3, 0, 5? 0 What is the nearest to -55 in 3, 0.5, -5? -5
{ "pile_set_name": "DM Mathematics" }
d + 30 = 0. Suppose d*g - 5*g = 220. Is g a multiple of 14? False Suppose 0*h + 2*h = -s + 7, 0 = -3*h - 3*s + 18. Let m = h + -6. Let x = 77 + m. Is 24 a factor of x? True Let m(w) = -w**3 - 2*w**2 - 2*w. Suppose 0 = 5*k + 5*v + 35, 0 = -k + 5*k + 2*v + 18. Let a be m(k). Suppose 0 = -a*l + 23 + 33. Is 14 a factor of l? True Let w(a) = -23*a + 484. Is w(-11) a multiple of 67? True Let o(t) = -t**2 - 5*t + 2. Let n be o(-5). Let f(c) = 2 + 0*c - c - n*c. Is f(-4) a multiple of 4? False Suppose -24*a = -20*a + 164. Let g = 10 - a. Is g a multiple of 14? False Let o(k) = -295*k + 2. Does 9 divide o(-1)? True Suppose i - b + 98 = 0, i - 4*b = -6*b - 89. Let q = i + 163. Is 17 a factor of q? True Let a be 5 - 27 - (-1 + -1). Suppose -11 = -2*x - 2*g + 3, 3*x - 2*g - 36 = 0. Let z = x - a. Is 15 a factor of z? True Let h be (0*2/(-6))/1. Suppose t - 2*t - 95 = -5*z, h = 4*z - 5*t - 97. Does 3 divide z? True Suppose 63 = 7*f - 112. Does 25 divide f? True Let s = -6 + 6. Suppose s - 2 = 2*z. Does 5 divide z + 16 - 1/1? False Let y be 56 - (-6)/(0 - -2). Suppose 4*c - 172 = 4*z - 8*z, -3*z = -c + y. Suppose c = o + 4*p, 4*o + p = -53 + 256. Is 16 a factor of o? False Let y be 10/4*72/(-60). Is 11 a factor of (-1272)/(-14) + y/(-21)? False Let w be (2 + -1)/((-1)/(-4)). Let a = 66 + -45. Suppose 0 = -w*v + 75 + a. Does 12 divide v? True Let f = -7 + -7. Let n(w) = 2*w**2 + w - 10. Let k be n(f). Suppose -9*v = -13*v + k. Is v a multiple of 27? False Suppose 358 - 1490 = 4*b + 4*h, 5*b + 3*h + 1419 = 0. Is 11 a factor of (b/(-6))/(2/4)? False Is 15 a factor of 1/1 - 41/(-1)? False Suppose 9*y - 2*k + 876 = 10*y, 0 = -y + k + 882. Is 16 a factor of y? True Let d(n) = -34*n. Suppose -5*t - 4 = 1. Is d(t) a multiple of 8? False Let u be (-1794)/(-65)*(-20)/6. Let h = u - -65. Is 7 a factor of (-1 - h) + (-24)/8? False Let v = 46 - 42. Suppose -422 + 26 = -v*i. Does 20 divide i? False Let n(j) = -58*j + 353. Is 39 a factor of n(-4)? True Suppose -f = 3*h + f + 102, 4*h = -5*f - 136. Let m = -17 - h. Is 17 a factor of m? True Let y = 356 - 313. Is y a multiple of 11? False Let r = -324 + 502. Let p = -276 + r. Let k = p - -159. Does 17 divide k? False Let x(n) = -3*n**3 + 15*n**2 - 9*n - 13. Is x(-4) a multiple of 7? True Suppose c = -2*c + 9, -4*d - 590 = -2*c. Let p = 3 - d. Does 45 divide p? False Let t(d) = d + 1. Let b be t(11). Suppose -b*f + 43 = -1277. Is f a multiple of 10? True Let n = 16 - -40. Suppose 0 = 3*x - x - n. Is x a multiple of 14? True Suppose -2*w - 960 = -10*w. Let p = -75 + w. Is p a multiple of 6? False Suppose -149 = -4*h - 2*z + 2057, 0 = 5*h + 2*z - 2756. Does 25 divide h? True Let r(n) = 20*n - 3. Let g be r(6). Let i = 177 - g. Does 20 divide i? True Let z(q) = q**3 + 16*q**2 + 2*q + 20. Let s(r) = 3*r**3 + 47*r**2 + 6*r + 59. Let v(c) = 6*s(c) - 17*z(c). Does 16 divide v(-9)? False Let p(m) = -2*m**2 - 31*m - 21. Is p(-9) a multiple of 16? True Let t(m) = -7*m - 15. Let k be t(-6). Is 20 a factor of (-2)/3 - (-1638)/k? True Let a = 661 - 435. Does 12 divide a? False Suppose 0 = 32*g - 12*g - 55440. Is 39 a factor of g? False Suppose 5*y - 20 = -p, 4*y + 4*p = -0*y. Suppose -y*s + 13*s = 432. Is s a multiple of 9? True Suppose o + 3*o - 32 = 0. Suppose 4*t - o = -4*k, -2*k - 3*k = 10. Suppose -2*q + 2*u = -76, t*q - 3*u = 2*q + 74. Does 20 divide q? True Suppose -18 = -2*s + 42. Suppose 480 = 3*t + s. Suppose t = 2*u + x, 0*u = 3*u - x - 225. Is 25 a factor of u? True Let i = 310 + -121. Is i a multiple of 3? True Suppose 0 = 2*q - 36*w + 41*w - 1431, q + 2*w - 718 = 0. Does 91 divide q? True Let o be (2/4)/(7/(-308)). Is 9 a factor of (-14)/77 - (4316/o - -2)? False Let y(j) = -4*j**2 + 4*j + 1. Let x be y(3). Let s = -19 - x. Is 11 a factor of -2 - (5*-10 + s)? True Let i be (-4)/6 + (-66)/9. Let y be i/(-6)*3/2. Suppose 84 = -0*a + y*a. Is a a multiple of 14? True Let h be 18/2 - (3/3)/(-1). Suppose -5*j + 1980 = h*j. Does 44 divide j? True Let s = -842 + 1341. Is s a multiple of 11? False Does 12 divide 177 - (1 + 4 - 8)? True Is ((-30)/(-50))/(3/1350) a multiple of 54? True Let b be ((-15)/10)/((-2)/4). Suppose -288 = -b*g + j, 0*g - g + 96 = -5*j. Is g a multiple of 16? True Let u(q) = 53*q**2 + 9*q + 9. Is 19 a factor of u(-9)? False Suppose 4*q - 104 = 400. Is 21 a factor of q? True Suppose 373 = -7*q + 7226. Does 11 divide q? True Let f be (-19 + -1)*10/(-25). Suppose f*r - 510 - 386 = 0. Suppose -i + 12 = 2*b, -4*i + 3*b + r = i. Is i a multiple of 10? True Suppose -890 - 1930 = -6*z. Is 47 a factor of z? True Suppose -3*j + 20668 = -5*c, 4*j - 20664 = 5*c - 0*j. Is 4/18 + c/(-18) a multiple of 17? False Suppose 0 = 2*x - 5*f - 679, -f - 347 = -0*x - x. Does 4 divide x? True Let m = 1630 + -928. Is 78 a factor of m? True Suppose 3*g - 6 = -0*g. Let t(m) = 71*m**2 - 4*m. Is t(g) a multiple of 15? False Let b = 16 - 14. Let q = -2 + 3. Is 4 a factor of (0 + q/b)*20? False Let k(n) = -39*n + 262. Is k(-42) a multiple of 25? True Let c be (6 - -1) + (2 - -2). Let t = c - -43. Is t a multiple of 27? True Suppose -12*f = -13*f + 4. Suppose 0 = -f*g + 5*g - 90. Is g a multiple of 30? True Suppose -289 = -5*x + 2*i, 0 = -4*x + 2*i + 112 + 120. Let m = 91 - x. Is m a multiple of 6? False Let c(j) be the third derivative of -j**5/60 + 4*j**4/3 - 14*j**3/3 - 41*j**2. Does 32 divide c(12)? False Suppose 5*k = -30 + 5. Let m(q) = -q + 6. Is 3 a factor of m(k)? False Suppose 7*x = 6*x + 5. Suppose -4*b + x = 2*l - 63, -b = -l + 19. Suppose 18 + l = 3*m. Does 7 divide m? True Suppose -5*d + 14*d - 1071 = 0. Does 4 divide d? False Let d(r) = 3*r - 6. Suppose 9*h = 3*h + 12. Let q = h + 2. Is 5 a factor of d(q)? False Does 40 divide 16092/45 + 3 + (-3)/5? True Suppose 0 = -3*w + 12 + 9. Suppose 2*z + 15 = w*z. Is 2/z + (-472)/(-12) a multiple of 16? False Suppose 5*j - 24*j + 4104 = 0. Suppose -j = 17*l - 19*l. Does 9 divide l? True Suppose 0 = 5*v - 5*f - 825, 2*f - 3*f = -1. Is 5 a factor of v? False Suppose 0*g - 2*g - 8 = 4*d, 2*g = -3*d - 11. Let m be ((-4)/g)/((-6)/(-60)). Let b = m + 14. Is b a multiple of 4? False Let h be 1299/9 - 4/(-6). Suppose -5*g - 2*k - h = 0, g + 3*g + 2*k + 114 = 0. Let q = -16 - g. Is 7 a factor of q? False Let k = 4 - 0. Suppose -18 = -2*f + k. Suppose -2*m + 33 = -f. Is 11 a factor of m? True Let u = -1146 - -1221. Is 15 a factor of u? True Let v be (5/2)/((-25)/(-20)). Suppose -4*q + 12 + 16 = 4*o, 0 = v*o + 4*q - 14. Is o a multiple of 2? False Is 45 a factor of 270*-25*2/(-20)? True Let w be (-32)/(-208) + (-74)/(-26). Suppose 2*k = 7*k, -w*u + 3*k = -897. Is 13 a factor of u? True Let g be (-54)/(-24)*(-8)/(-6). Suppose -2*m + g*c + 11 = 2, -2*m + 16 = 4*c. Suppose m*o - 15 = 3*o. Is 2 a factor of o? False Suppose 3*s - 3*v = 4038, -v - 6746 = -2*s - 3*s. Does 18 divide s? True Let j(t) = -2*t + 21. Let l be j(14). Let m(r) = r**3 + 10*r**2 + 19*r + 17. Does 31 divide m(l)? True Let y be 3 - (12/(-4) - -1). Suppose -133 = -y*b + 112. Suppose -4*t = 3*j - 210, -3*t + b = -2*t - j. Is t a multiple of 17? True Let v(l) = 12*l. Let m be v(-1). Let q be m/54 + (-7)/9. Is 12 + -15 + q + 34 a multiple of 15? True Suppose -x + 17 = 3*y, -7*x + 2*x + 10 = 0. Suppose 30 = y*b - 35. Let h = b + 20. Is h a multiple of 10? False Is 17 a factor of (4/(-40)*-68)/(1/25)? True Is (-8)/10*(-13 + (-6990)/20) a multiple of 40? False Let b = 44 + -42. Let u = 38 + b. Is u a multiple of 20? True Let i(r) = -10*r**2 - 10*r + r**2 + 3 + r**3 + 18*r**2. Let f be i(-10). Suppose 0 = -3*l - n + 185, 4*l - f*n + 51 = 5*l. Does 17 divide l? False Let o(l) = 10*l + 7. Let t(b) = -15*b - 10. Let s(w) = 8*o(w) + 5*t(w). Let n be s(-9). Let d = n + 65. Is 6 a factor of d? False Let g(n) be the second derivative of n**4/12 - 5*n**3/3 + 6*n**2 + n - 14. Suppose -2*f = -37 + 9. Is g(f) a multiple of 34? True Does 11 divide -1 + -5*(-1448)/20 + 4? False Let m = -6 - -1. Let z(p) = -p**2 - p. Let s(l) = -6*l**2 + l + 5. Let r(b) = m*z(b) + s(b). Does 4 divide r(4)? False Suppose 5*s = 2*s + 21. Suppose 0 = -16*o + s*o + 567. Is o a multiple of 21? True Let f(n) = 19*n - 167. Let s be f(9). Suppose -2*t + 2*o - 38 = 0, 4 = -2*t + 4*o - 44. Is 4 a factor of t*(-1)/s*2? False Suppose 0 = 70*y - 80*y + 8480. Is 31 a factor of y? F
{ "pile_set_name": "DM Mathematics" }
Which is smaller: x or t? x Let l = 9 + -5. Let p = 125 + -125.4. Which is smaller: p or l? p Let a be (2 - (-2)/2) + 837/(-243). Let m(t) = -5*t + 0 + 0*t - 5*t**2 - t**3 - 3. Let k be m(-4). Which is bigger: k or a? k Let d = -62099/330 + -73/330. Let p = d + 189. Does 0.2 = p? False Let f = 1 - 2. Let w be 35/(-140)*50/15. Is w >= f? True Let o(l) = l**2 + 34*l - 36. Let b be o(-35). Which is smaller: -1/287 or b? b Let d(j) = j**2 - 1. Let l be d(-2). Let m(u) = u**2 + 15*u + 18. Let v be m(-14). Suppose v*a = 3*a - 0*a. Is l != a? True Let a(t) = -7*t - 99. Let w be a(-20). Which is bigger: 43 or w? 43 Let r(c) = -4*c - 88. Let o be r(-14). Is -34 greater than o? False Let l(u) = u + 5. Let i be l(-3). Let z be (4/14)/(i/14). Suppose z*o = -b - 7, 0*o - 4*o = 4*b + 24. Which is smaller: b or -4? b Let b = -8 + 7. Let k = 19 + -31. Let s be (-75)/k + -3 - 3. Which is greater: s or b? s Let l = -169 + 184. Which is smaller: -0.2 or l? -0.2 Let s be ((-3)/((-30)/(-4)))/(16/10). Which is greater: -5/6 or s? s Suppose -3*k = -z - z + 10, -z - k = 0. Suppose -u + 84 = z*u. Let g be (-1)/2 + 46/u. Does g = 0? False Suppose -2*u + 3 = -3*u. Let z be 0 - (108/53 - (u + 5)). Suppose -3*l = -3*y, 0 = 5*y - 3*l + 2 - 4. Which is greater: z or y? y Let n be 33/(-15) + 0 + 24 + -29. Is n at least as big as -8? True Let u(j) = 13*j - 14. Let d be u(4). Let z = 37 - d. Which is smaller: -7/16 or z? z Let g = 873.94 - 816. Let b = 0.06 + g. Is -1 equal to b? False Let h = 68.3 - 123.9. Let c = -56 - h. Do 6 and c have the same value? False Let l = -391 + 200. Does -192 = l? False Let q = -28 + 220. Let g = q + -2878/15. Let v = 3549 + -3553. Is g at least as big as v? True Let i be -3 - (-11 + 2 + -3). Let y be ((-18)/(-8))/(i/(-36)). Let d be (-1)/(2 - (-21)/y). Which is bigger: d or 2? d Let y be ((-12)/(-4) + -3)/2. Let g(q) = 3. Let f(c) = -c - 1. Let k(o) = -2*f(o) - g(o). Let j be k(y). Is -1 < j? False Let j = 904 - 397. Which is bigger: 505 or j? j Let i(p) = 2*p**2 + 9*p - 9. Let m(w) = -w + 2. Let h be m(9). Let a be i(h). Is a at least 26? True Let v = -3084 - -2504. Is v smaller than -579? True Let a be 0 + -13 + 300/(-120). Is a equal to -17? False Suppose 0 = w - 5*m - 288, -3*w - 4*m + 2*m + 813 = 0. Which is greater: 274 or w? 274 Let q(a) = 3*a + 30. Let x be q(-10). Are 7/82 and x nonequal? True Let k = -170.23 - -171. Let v = 4.77 - k. Let b = 15 + -9. Is v <= b? True Let h = 8/163 - 697/4238. Let y(v) = -2*v + 13. Let n be y(6). Does n = h? False Let i = -16 + 15.1. Let x = -36.34 + 36. Let y = x + 0.44. Is i less than y? True Let t(x) = 8*x**2 - 32*x - 4. Let j be t(4). Is -16 < j? True Suppose 0 = 10*g - 4*g + 66. Let y = -11 - g. Let q be (-3)/12 - 4/(-16). Is y != q? False Let o = -2283 - -2328.7. Are -1 and o unequal? True Let k = 42 - 40. Suppose -k*w + 45 = -43. Which is bigger: 43 or w? w Suppose 4*a + 0 = 8. Suppose -6*m - 48 = -a*m + 2*k, -60 = 5*m - k. Let b be 5 + -15 + (2 - 5). Which is smaller: b or m? b Let b(y) = y**2 - 6*y + 7. Let m be b(6). Suppose 0*r + 119 = -m*r. Which is bigger: r or -18? r Suppose -s = -0 - 8. Suppose -2*x - t - t = -8, -3*x - 2*t = -s. Is x not equal to 1/53? True Let m be (84/(-49))/(24/(-112)). Is -3 greater than or equal to m? False Let m = -0.059 - -10.159. Let a = 10 - m. Is 0.12 less than a? False Let o(p) = -2*p**3 + 7*p**2 + 8*p + 11. Let d(t) = -t**3 + 3*t**2 + 4*t + 5. Let j(v) = 7*d(v) - 4*o(v). Let a be j(8). Which is smaller: 25 or a? a Let n(v) = 51*v - 867. Let f be n(19). Do f and 102 have the same value? True Let i be 8 - (0 - 1) - 1. Suppose i = -4*r + 24. Let p be -1*r/16*-4. Which is bigger: 5/4 or p? 5/4 Let m = 16/33 + 2/11. Let k(u) = -5*u**3 - 7*u**2 - 11*u - 4. Let c be k(-3). Let r be (-2 - 1*-1)*(100 - c). Is r != m? True Suppose -3*b = -4*g + 6, 2*g - b + 8 = 12. Suppose -3 = -2*a - g. Is a > 2/293? False Suppose 37*c - 27 = -3*z + 42*c, -3*z + 9 = c. Let t = 10 + -9. Is t bigger than z? False Let b = 59 - 57. Let i be 2 - -4 - (-8)/b. Let n = 23 + -13. Is i < n? False Let m(l) = 2*l**2 + 76*l + 29. Let n be m(-37). Is -318/7 bigger than n? False Let u = 134 - 350. Which is bigger: -215 or u? -215 Suppose -45 = -n - 5*f + 8, -5*n + 352 = -4*f. Is 74 >= n? True Let x be 5 - (0 - (1 - 4)). Do x and 16/19 have different values? True Let g(d) = -29*d**2 - 27*d - 102. Let k be g(-6). Is k less than or equal to -984? True Let d(q) = q - 4 + 3 + 2. Let i be d(-1). Let r = -5/83 - -299/830. Is i greater than r? False Let g = 258.05 - 258. Which is smaller: g or -0.1? -0.1 Let b be (-4081)/24288 + ((-7)/6)/(-7). Are 0 and b unequal? True Let v = -3 + 12. Let s = v - 9.15. Let t = 0.35 - s. Which is smaller: t or 1/6? 1/6 Let c be 1/6*-3*0. Suppose 36 = 4*l - c*l. Suppose -q + 2*z + 42 = 3*q, -3*z - 13 = -q. Is q greater than or equal to l? True Let l be (3 + -4)*(4/5 - 1). Let s = 1.07 + -0.07. Which is bigger: s or l? s Suppose 5*v + 5*m - 15 = -0*v, -9 = 5*v - 3*m. Does -5/78 = v? False Suppose 4*x - 129 - 7 = -r, 0 = 3*r - 12. Suppose -x*o = -28*o - 25. Do 11 and o have different values? True Let k = 38101/20 - 1906. Is -2 >= k? False Let h = 1118/7 + -160. Let r = -0.5 + 0.49. Let t = 0.1 + r. Which is smaller: t or h? h Let f be 57/798 - (-8)/(-14). Suppose 2*w + x - 1 + 2 = 0, -5*x - 5 = w. Which is smaller: f or w? f Suppose -3*k - k = 0. Let h be (27/(-2))/(33/(-12)). Let g = h - 58/11. Is k at least as big as g? True Suppose 5*g + 35 = -0. Let o = g + 7. Let j be ((-6)/15 + o)*15. Which is bigger: j or -7? j Let t = -6 - -6. Let a = -231 - -4849/21. Is a at most t? True Suppose -5*w + 151 = -3*j, 2*j + w = -j - 121. Let u = -40 - j. Is u at most as big as -2? False Let x be 265/318 + 193/(-6) + 5. Which is smaller: -26 or x? x Let w(g) be the third derivative of -g**6/120 + 13*g**5/60 - g**4/2 - 4*g**3/3 - 4*g**2. Let l be w(12). Let r be 7 + -8 + l/(-7). Which is greater: r or 0? r Suppose -2*i = 3*h + 4, 2*h = -2*i + 3*h - 20. Let q = 10 + i. Suppose -q*o + 4 = 2. Is -2/9 greater than or equal to o? False Let z(t) = -20*t + 67. Let n be z(18). Which is smaller: -292 or n? n Let z(n) = -2*n - 4. Let x(a) = -a**2 + 10*a - 3. Let o be x(10). Let m be z(o). Suppose 4*y + 4 = m*y. Which is greater: y or 3? 3 Let h(i) = -5*i + 4. Let b(n) = 9*n - 7. Let q(z) = 6*b(z) + 11*h(z). Let g be q(3). Which is greater: g or 2/49? 2/49 Let j(f) = 12*f - 270. Let q be j(34). Which is smaller: q or 143? q Suppose 42*r - 1235 = 6115. Is 175 smaller than r? False Let v = -0.1 - -0.1. Let z = 940.79 + -948. Let t = 0.21 + z. Which is smaller: t or v? t Let r(o) = 5*o**2 + 18*o + 10. Let x be r(-5). Suppose p - f + 3*f = 9, -5*p - f + x = 0. Which is smaller: 66/7 or p? p Let y be (-8)/(-92) - 16/184. Let r = -1/215 - -1514/1935. Does r = y? False Let l(c) = c**3 - 7*c**2 - 5*c + 26. Let b be l(5). Is -50 != b? True Let d = -1 - -1. Let m be 8/(-22) + 0 + d. Suppose 2*x = 5*w + 10, 2*x - 54 = 4*w - 44. Which is greater: m or w? w Let f = 6 - 6. Let c = -390.4 - -392. Does c = f? False Let k = 0.15 + -0.1. Let t be 3*4/18*(-69)/115. Which is greater: k or t? k Let f(c) = -c**3 + 58*c**2 - 60*c + 190. Let h be f(57). Is 98/5 at most as big as h? False Let v be 648/858 + 9/(-12). Which is greater: v or -1? v Let u be (-1)/(-4)*4*-1*0. Suppose u*w + 60 = -2*w. Is -31 less than w? True Let t be -49*7/(-196) + -2. Is t smaller than 84? True Suppose -h = 2 - 3. Let b = 6/79 + 128/395. Is h less than b? False Suppose -69 = -23*t + 20*t. Let p = t + -22. Which is smaller: p or 8/7? p Let p be 9/(9/2) + 187. Let i be (-4)/18 - 21/p. Suppose 0 = -0*f + 5*f + 5. Which is bigger: f or i? i Suppose 0 = f + 2*v - 9, -3*f = 4*v - 14 - 7. Suppose -4*r - f*g = 12, 4*r + g + 6 = 2. Let i be (-7)/(273/(-4))*(-9)/6. Is i less than r? True Let r(c) = -c**2 - 4*c + 4. Let f be ((-2)/4)/(9/54). Let s be r(f). Suppose s*p - 2*p = 5. Is p <= 1/26? False Suppose 2*f = 6*f. Suppose q + 1 = -0*q + 4*k, 5*k = -q + 35. Which is smaller: q or f? f Let m = 13.2 + -183.2. Let f = m - -177.1. Which is greater: 1 or f? f Let i = -166353/14 - -11877. Is 1 greater than i? True Suppose -5*q = -30 - 55. Do 20 and q have the same value? False Let k = 4.5 - 15.5. Are 6 and k equal? False Suppose 2*h - 41 = -25. Are h and
{ "pile_set_name": "DM Mathematics" }
8 What is 3649 rounded to the nearest one hundred? 3600 Round 5466500 to the nearest ten thousand. 5470000 What is -26.972 rounded to one decimal place? -27 What is -295000 rounded to the nearest 100000? -300000 What is -0.000001344 rounded to seven decimal places? -0.0000013 What is 0.0425 rounded to 2 dps? 0.04 What is -57.9 rounded to the nearest integer? -58 What is -0.0274 rounded to 3 dps? -0.027 Round -0.0000166557 to 7 decimal places. -0.0000167 Round -0.001109 to four decimal places. -0.0011 What is -8.0038 rounded to one dp? -8 Round 0.296151 to two dps. 0.3 Round -55.481 to one decimal place. -55.5 What is 17.783 rounded to the nearest integer? 18 Round 0.00001304 to six dps. 0.000013 Round -0.00009005 to 6 dps. -0.00009 Round -216.98 to the nearest integer. -217 What is 3535 rounded to the nearest one hundred? 3500 What is 0.401099 rounded to three decimal places? 0.401 Round 71191000 to the nearest one hundred thousand. 71200000 Round 1317500 to the nearest 100000. 1300000 Round -0.0058629 to 4 dps. -0.0059 What is -3170.2 rounded to the nearest 100? -3200 What is -0.0223 rounded to three dps? -0.022 What is 42800000 rounded to the nearest one million? 43000000 What is -912 rounded to the nearest one hundred? -900 Round -0.00000185343 to seven decimal places. -0.0000019 What is 0.11515 rounded to 2 decimal places? 0.12 Round -0.000011262 to 7 decimal places. -0.0000113 Round 97.62 to the nearest 100. 100 What is 0.002041 rounded to 4 dps? 0.002 Round -161.96 to zero decimal places. -162 Round 0.00000112 to seven dps. 0.0000011 What is 0.000008222 rounded to 6 decimal places? 0.000008 What is 336000 rounded to the nearest 10000? 340000 What is -873500 rounded to the nearest one hundred thousand? -900000 What is -15540000 rounded to the nearest 1000000? -16000000 Round -62410 to the nearest one thousand. -62000 What is -302290000 rounded to the nearest one million? -302000000 What is 0.0005634 rounded to 5 decimal places? 0.00056 What is 0.000005645 rounded to seven dps? 0.0000056 Round 18920 to the nearest 100. 18900 What is -4.412 rounded to 1 decimal place? -4.4 What is 0.00005403 rounded to five decimal places? 0.00005 Round 13.92 to 1 dp. 13.9 What is -542.305 rounded to the nearest 10? -540 Round 9469000 to the nearest 1000000. 9000000 What is -822 rounded to the nearest one hundred? -800 What is -2000000 rounded to the nearest one million? -2000000 Round 345 to the nearest ten. 350 Round -0.0012763 to 5 decimal places. -0.00128 Round 94.6 to the nearest one hundred. 100 What is -1.89629 rounded to one decimal place? -1.9 What is 0.0021047 rounded to 5 dps? 0.0021 Round -280.86 to the nearest one hundred. -300 What is 4991090 rounded to the nearest one hundred thousand? 5000000 What is 805000 rounded to the nearest 10000? 810000 What is 149 rounded to the nearest 100? 100 What is 7259 rounded to the nearest one thousand? 7000 Round 42.1 to 0 decimal places. 42 What is -4728.8 rounded to the nearest one thousand? -5000 Round 23.49 to the nearest integer. 23 Round -4023.1 to the nearest 100. -4000 What is 5398.9 rounded to the nearest one thousand? 5000 Round -0.0004967 to five decimal places. -0.0005 What is -165360 rounded to the nearest ten thousand? -170000 Round -54.56 to the nearest integer. -55 What is -0.00000348 rounded to 6 dps? -0.000003 What is 8.7706 rounded to one dp? 8.8 What is 8.155 rounded to 1 decimal place? 8.2 Round 6433.2 to the nearest 100. 6400 What is 22.8715 rounded to 1 dp? 22.9 Round 0.00138138 to four decimal places. 0.0014 Round 0.0000386 to 5 decimal places. 0.00004 Round -31.56 to 0 decimal places. -32 What is -0.010417 rounded to four decimal places? -0.0104 Round 0.18353 to two dps. 0.18 What is -0.0033346 rounded to 5 decimal places? -0.00333 What is 0.0000068177 rounded to 6 dps? 0.000007 Round -757970 to the nearest ten thousand. -760000 Round 5342.8 to the nearest 100. 5300 Round 1839700 to the nearest ten thousand. 1840000 Round 432.08 to the nearest integer. 432 What is 67000 rounded to the nearest ten thousand? 70000 Round 0.0002389 to 5 decimal places. 0.00024 What is -0.00014157 rounded to 5 dps? -0.00014 What is 12.558 rounded to one decimal place? 12.6 What is 0.10483 rounded to 3 dps? 0.105 Round 22319000 to the nearest 100000. 22300000 What is -0.00053 rounded to 4 dps? -0.0005 What is 0.0087896 rounded to 3 dps? 0.009 What is -0.02164 rounded to three decimal places? -0.022 What is -2.7693 rounded to the nearest integer? -3 Round -0.00894 to 4 decimal places. -0.0089 What is -0.00005663 rounded to six dps? -0.000057 Round 0.0130219 to 4 decimal places. 0.013 What is -0.01881 rounded to 2 decimal places? -0.02 Round -0.0042 to 3 dps. -0.004 Round 164.33 to the nearest ten. 160 Round 0.0469 to 1 dp. 0 Round 0.0001679 to 5 dps. 0.00017 What is 19059 rounded to the nearest 100? 19100 Round 104359000 to the nearest one million. 104000000 What is 0.0099415 rounded to 4 dps? 0.0099 Round 0.55907 to 2 decimal places. 0.56 Round -0.00007078 to five decimal places. -0.00007 Round 8995 to the nearest one thousand. 9000 Round -0.001358 to 3 dps. -0.001 Round 0.000020698 to five dps. 0.00002 Round 0.00002865 to six decimal places. 0.000029 Round 0.00014653 to five dps. 0.00015 Round 4128000 to the nearest 100000. 4100000 Round -0.0181 to two decimal places. -0.02 Round 0.002959 to 4 dps. 0.003 What is 15.853 rounded to the nearest integer? 16 What is -0.000003854 rounded to seven decimal places? -0.0000039 What is 0.00029709 rounded to 4 decimal places? 0.0003 What is -0.0000699 rounded to 5 decimal places? -0.00007 Round -0.438511 to one dp. -0.4 Round 52130 to the nearest 1000. 52000 Round 44.89 to the nearest ten. 40 What is -15.43 rounded to 1 decimal place? -15.4 Round 0.0001458 to 4 dps. 0.0001 What is 53.8 rounded to the nearest integer? 54 Round -13147 to the nearest one thousand. -13000 Round 0.00088013 to 4 decimal places. 0.0009 Round -0.000247972 to 6 decimal places. -0.000248 Round -0.00002897 to six dps. -0.000029 Round 110.04 to the nearest 100. 100 What is -28007.6 rounded to the nearest one thousand? -28000 What is -1387 rounded to the nearest 10? -1390 What is 56.32 rounded to the nearest ten? 60 What is -4862.9 rounded to the nearest 1000? -5000 What is 0.04825 rounded to two dps? 0.05 What is 4881.55 rounded to the nearest ten? 4880 Round 0.02979 to 2 decimal places. 0.03 Round 1664480 to the nearest one hundred thousand. 1700000 What is -0.14402 rounded to three dps? -0.144 Round -0.582104 to 1 decimal place. -0.6 Round -11.7 to the nearest 100. 0 What is 8.0021 rounded to zero dps? 8 What is -5.395 rounded to one decimal place? -5.4 What is 197880 rounded to the nearest 10000? 200000 What is -0.00040376 rounded to 5 decimal places? -0.0004 What is -0.0007465 rounded to four dps? -0.0007 What is 478700 rounded to the nearest ten thousand? 480000 What is 469000 rounded to the nearest 10000? 470000 What is -356.028 rounded to 0 decimal places? -356 What is 0.000000118 rounded to 5 dps? 0 Round -0.000000215 to seven decimal places. -0.0000002 Round -173380 to the nearest 100000. -200000 Round 0.00000963 to seven decimal places. 0.0000096 Round 0.000032556 to 7 decimal places. 0.0000326 Round 53776 to the nearest one hundred. 53800 Round 0.0002907 to six dps. 0.000291 Round -14.6672 to 1 dp. -14.7 What is 36.5 rounded to the nearest one thousand? 0 Round 0.00823 to 3 dps. 0.008 Round -246.3 to the nearest ten. -250 Round 0.0000093569 to 7 decimal places. 0.0000094 What is -375.43 rounded to the nearest integer? -375 What is 0.0000234156 rounded to six dps? 0.000023 What is 0.0070763 rounded to three decimal places? 0.007 What is 165710000 rounded to the nearest one million? 166000000 Round 34429 to the nearest one thousand. 34000 What is -6.231 rounded to the nearest integer? -6 What is 1959.1 rounded to the nearest ten? 1960 What is 0.069779 rounded to 3 decimal places? 0.07 Round -0.000763 to 4 dps. -0.0008 What is -0.0023456 rounded to four decimal places? -0.0023 What is -1158620 rounded to the nearest 1000? -1159000 Round -689000 to the nearest ten thousand. -690000 What is 2507 rounded to the nearest one hundred? 2500 Round -474.58 to the nearest ten. -470 What is -0
{ "pile_set_name": "DM Mathematics" }
p**2 - 1 Let v(g) = 3*g**2 - 13*g + 2. Let n(p) = -p**2 - p - 1. Give n(q) + v(q). 2*q**2 - 14*q + 1 Let n(h) be the third derivative of -5/6*h**3 + 0 + 0*h + 1/6*h**4 - 5*h**2. Let z(g) = 5*g - 6. Let j(k) = 2*k - 6. Let l be j(5). Calculate l*n(c) - 3*z(c). c - 2 Let i(w) = -w**2 - w. Let d(n) = 8*n**2 + 4*n. What is d(h) + 5*i(h)? 3*h**2 - h Let t(j) = j - 1. Let p(s) = s - 1. Let g be p(0). Let h be 0 + 3 + (g - 0). Let a(z) = 2. Give h*t(o) + a(o). 2*o Let w(d) = 36*d**2 + 9*d. Let s(k) = 18*k**2 + 4*k. What is -9*s(y) + 4*w(y)? -18*y**2 Let b(j) = 1 - 4*j + 4 + 6*j. Let l(m) = 6*m + 14. Suppose -c = -3*c + 4. Suppose o - r = 2*r + c, -4*o + 38 = 3*r. Give o*b(h) - 3*l(h). -2*h - 2 Let o(j) = 7*j**3 + 9*j**2 + 15*j + 11. Let n(z) = -4*z**3 - 5*z**2 - 8*z - 6. Determine 11*n(m) + 6*o(m). -2*m**3 - m**2 + 2*m Let i(s) = 6*s**2 - 10*s + 1. Let k(u) = -5*u**2 + 9*u. Calculate -3*i(q) - 4*k(q). 2*q**2 - 6*q - 3 Let u(s) be the third derivative of -s**6/40 - 5*s**4/24 + 5*s**3/6 - 9*s**2. Let z(w) = 15*w**3 + 24*w - 24. Give 24*u(p) + 5*z(p). 3*p**3 Let w(a) = 2*a - 2. Let l(g) = -g - 1. What is -3*l(j) + w(j)? 5*j + 1 Let p(h) = -h**2 + 3*h + 5. Let d be p(4). Let q(v) = d - v - 5 + 2 - 3*v**2. Let z(s) = 3*s + 41 - 5*s - 46 - s**3 - 7*s**2. Determine -5*q(m) + 2*z(m). -2*m**3 + m**2 + m Suppose 0 = -5*h + 10*h - 15. Let i(m) = 2*m**2. Let w(y) = -2*y**2. What is h*w(u) + 2*i(u)? -2*u**2 Let u(x) = 56*x**2 + 28*x - 28. Let t(y) = y - 1. Give 28*t(j) - u(j). -56*j**2 Let t = 11 - 7. Let f(d) = t - 2 - d + 0 - 1. Let u(g) = -g**3 - g + 2. Give -2*f(o) + 2*u(o). -2*o**3 + 2 Let y(l) = -14*l**3 + 0*l**2 + 21*l**3 + 0*l**2 - 4*l. Let u(f) = -48*f**3 + 27*f. Give 4*u(r) + 27*y(r). -3*r**3 Let f(j) = -2*j**3 + 4*j**2 + 7*j - 3. Suppose -p - 4*o = -4*p - 21, 5*o = p + 7. Let x(l) = l**3 - 2*l**2 - 4*l + 2. What is p*x(s) - 4*f(s)? s**3 - 2*s**2 - 2 Let q(w) = 55*w**2 - 16*w - 21. Let s(b) = 11*b**2 - 3*b - 4. Determine -2*q(m) + 11*s(m). 11*m**2 - m - 2 Let o(s) = -10*s - 68. Let z(f) = 3*f + 23. Determine -2*o(d) - 7*z(d). -d - 25 Let v(a) be the second derivative of 5/6*a**3 + 0 + a - 5/2*a**2 + 5/12*a**4 - 3/20*a**5. Let n(r) = -4*r**3 + 6*r**2 + 6*r - 6. Give -5*n(j) + 6*v(j). 2*j**3 Let z(t) = 4*t - 5 + t**2 + t**2 - 4*t**2. Let b(q) = 5*q**2 - 11*q + 14. Let l(w) = -w - 10. Let s be l(-6). Determine s*b(v) - 11*z(v). 2*v**2 - 1 Let q(z) = z**2 - 5. Let b be q(0). Let v(h) = 2*h - 5. Let p(u) = -u + 4. What is b*v(t) - 6*p(t)? -4*t + 1 Let i(p) = 2*p**2 - p - 1. Let h(r) = 3 - 2 + 5*r - 4*r - r**2. Let a be -1*(-1)/1 + 0. Suppose 3 - 7 = -4*n. Determine a*h(d) + n*i(d). d**2 Let i(a) = -11*a + 6. Let l(u) = 264*u - 143. Determine 143*i(m) + 6*l(m). 11*m Let o(d) = 21*d**3 + 5*d + 5. Let f(x) = 10*x**3 + 2*x + 2. Calculate -5*f(i) + 2*o(i). -8*i**3 Let m(c) = 0*c**3 - 3*c**2 - c - 6*c**3 + 5*c. Let u(x) = 17*x**3 + 4*x**2 - 2*x**2 + 6*x**2 - 11*x. Let i be 1*(-1)/((-1)/4). What is i*u(v) + 11*m(v)? 2*v**3 - v**2 Let h(m) = 14*m**2 - 6*m - 9. Let z(c) = 5*c**2 - 2*c - 3. Give 3*h(f) - 8*z(f). 2*f**2 - 2*f - 3 Let y = -3 + 5. Let m(p) = 4*p - y*p - p. Let q(a) = -2*a - 1. Determine -3*m(v) - q(v). -v + 1 Let l(j) = -2*j**2 - j - 2. Let m(d) = -d**3 - d**2 - d - 1. Let w = -16 + 17. Give w*l(i) - 2*m(i). 2*i**3 + i Let r(a) = -a - 5. Suppose 4*o = -3*y + 6*y + 23, 0 = o + 2*y - 3. Suppose 0 = -b + 2*b - 4. Let q(j) = j + 6. What is b*q(z) + o*r(z)? -z - 1 Let g(d) = -2*d + 0*d + d. Let i = -270 + 263. Let h(o) = 2*o. Calculate i*g(u) - 4*h(u). -u Let a(j) = -5*j - 9. Let m(i) = i. Give -a(q) - 6*m(q). -q + 9 Let c(o) = 11*o**2 + 4*o. Let d(r) = 11*r**2 + 3*r. What is -3*c(w) + 4*d(w)? 11*w**2 Let r(v) = -3*v**3 + v**2 - 9*v. Let n(k) = 4*k**3 - 2*k**2 + 14*k. What is 5*n(a) + 8*r(a)? -4*a**3 - 2*a**2 - 2*a Let m(g) = g**3 - g**2 - g + 1. Let t(i) = i**3 - 6*i**2 - 3*i + 3. Calculate 3*m(u) - t(u). 2*u**3 + 3*u**2 Let r be -3 + 1 - 0/2. Let f = -11 + r. Let s = f + 6. Let k(x) = 3*x + 6. Let l(o) = -2*o - 4. Calculate s*l(p) - 5*k(p). -p - 2 Let x(i) = i. Let f(v) = 68*v. Determine f(s) - 51*x(s). 17*s Let o(a) = 21*a**2. Let b(i) = 4*i**2 - 7*i - 7. Let q(h) = -3*h**2 + 5*h + 5. Let p(w) = 5*b(w) + 7*q(w). Give -o(n) - 18*p(n). -3*n**2 Let a(i) be the third derivative of -i**5/30 - i**4/4 - i**3/6 + 10*i**2. Let d(r) = -2*r**2 - 7*r - 1. Determine 7*a(l) - 6*d(l). -2*l**2 - 1 Let b(q) = 21*q**3 - q - 18*q**3 + 2*q - q**2 + 3*q**2. Let x(w) = -w. Calculate -b(v) - x(v). -3*v**3 - 2*v**2 Let f(a) = -7*a**3 + 3*a**2 + a. Suppose 4*u - 52 + 4 = 0. Suppose 0 = 4*v - 0*v - u. Let h(k) = -4*k**3 + 2*k**2 + k. What is v*f(t) - 5*h(t)? -t**3 - t**2 - 2*t Let p(o) = 2*o**2 + 4*o + 3. Let n(r) be the third derivative of r**5/15 + 7*r**4/24 + 5*r**3/6 - 7*r**2. What is -4*n(q) + 7*p(q)? -2*q**2 + 1 Let a(r) = -12*r**3 - 2*r + 3. Let z(x) = 35*x**3 + x**2 + 7*x - 10. Calculate -7*a(k) - 2*z(k). 14*k**3 - 2*k**2 - 1 Let p(n) = -n + 1. Let h(q) = -7*q**3 + 3*q - 4. Give h(r) + 4*p(r). -7*r**3 - r Let q(u) = 13 + 5*u**2 + 5 - 8 + 7. Suppose 0 = -4*p - 11 - 1. Let z = p + 5. Let s(d) = -d**2 - 4. Calculate z*q(f) + 9*s(f). f**2 - 2 Let q(r) = 6*r - 1. Let z(s) = 8*s - 2. Let t(y) = -7*q(y) + 5*z(y). Let b(h) = 3*h + 4. Calculate -3*b(f) - 4*t(f). -f Let p(z) = -5*z**3 - 2*z**2. Let o(g) = -g**2. What is -2*o(u) + p(u)? -5*u**3 Let f(a) = -a**3 + a**2 + a. Let l(r) = 7*r**3 - r**2 - r. Give 2*f(o) + 2*l(o). 12*o**3 Suppose u = -3*u. Let o = 1 - u. Let q be 0 - (0 + o + -2). Let a(k) = -k**2 - 1. Let f(t) = t**2 + 2. Determine q*f(h) + 2*a(h). -h**2 Let o(a) = 10*a**3 - 5*a**2 - 5*a - 3. Let j(l) = 3*l + 33. Let n be j(-10). Let d(x) = -5*x**3 + 3*x**2 + 3*x + 2. What is n*o(h) + 5*d(h)? 5*h**3 + 1 Let s(v) = -5*v - 5. Let u = 30 + -35. Let g(x) = -4*x - 4. Calculate u*s(m) + 6*g(m). m + 1 Let q(p) = -10*p**3 + 8*p**2 + 8*p - 8. Let l(u) = -7*u**3 + 5*u**2 + 5*u - 5. Give -8*l(j) + 5*q(j). 6*j**3 Let n(q) = -q + 2. Suppose -2*b + 4*f - 12 = 0, 0*f - 4*f = -5*b. Let m(g) = 0 - 1 - 3*g + b*g. Let r be 1 - ((-1)/1)/1. What is r*m(k) + n(k)? k Let v(w) = -4*w**3 - w**2 - 2*w - 3. Let t(r) = -1. Calculate 3*t(u) - v(u). 4*u**3 + u**2 + 2*u Let p(w) = -24*w**2 + 5*w. Let q(l) = -5*l**2 + l. Give -2*p(b) + 11*q(b). -7*b**2 + b Let b(f) = -1. Let k(l) = -14*l - 5. Determine 6*b(s) - k(s). 14*s - 1 Suppose 4*t - 3*k - 4 + 8 = 0, 2*k = 0. Suppose -4*r + 24 = -4*n - 0, -n - 14 = -3*r. Let v(c) = -6*c + 3. Let l(i) = -i + 1. What is r*l(x) + t*v(x)? 2*x + 1 Let a(p) = 5*p**2 - 3*p - 3. Let n(j) = j**2 - j. Give -a(b) + 4*n(b). -b**2 - b + 3 Let q(j) = -13*j**2 + 13*j + 5. Let f(c) = -3*c**2 + 3*c + 1. Let k(x) = -x**3 - 5*x**2 + 5*x + 3. Let t be k(-6). What is t*f(b) - 2*q(b)? -b**2 + b - 1 Let b(l) = -5*l - 2. Let d(f) = 3*f + 1. Determine 6*b(s) + 11*d(s). 3*s - 1 Let m(n) = 3. Let t(u) = -u - 7. Suppose 3*p - 11 = 5*j, -6*j + 2*j - 12 = -4*p. Suppose 0*w + 10 = 2*r + 5*w, w = 0. Determine p*t(g) + r*m(g). -2*g + 1 Let u(r) = -17*r + 12. Let y(o) = o**3 - 6*o**2 + 4*o + 7. Let m be y(4). Let n(s) = 4*s - 3. Give m*n(a) - 2*u(a). -2*a + 3 Suppose -y + 4 = 2. Let k(r) = 0 + 2 + y*r**2 + 4. Let a(o) = -2*o**2 - 7. Calculate 4*a(j) + 5*k(j). 2*j**2 + 2 Suppose 3*t - 2*c - 24 = c, -4*c = 12. Let r(l) = -l - 3. Let d(s) = -2*s - 7. Let y be 3/(-3*(-4)/(-8) + 0). What is t*r(n) + y*d(n)? -n - 1 Let g(a) = -3*a**2 - 5*a + 1. Let o(r) = 9*r**2 + 11*r + 4. Let w(i) = 8*i**2 + 10*i + 3. Let s(y) = -4*o(y) + 5*w(y). Give -5*g(u) - 4*s(u). -u**2 + u - 1 Let l(a) = 9*a + 1. Let k(c) be the third derivative of 5*c**4/24 + 33*c**2. Let v be (-70)/22 + (-4)/(-22). Give v*l(y) + 5*k(y). -2*y - 3 Let z(u) = -7*u**2 - 3*u + 4. Suppose 0 = -7*r - 6*r - 52. Let y(w) = -6*w**2 - 2*w + 3. Give r*z(j) + 5*y(j). -2*j**2 + 2*j - 1 Let b(q) = -5*q**2 - q - 3. Let y(d) = 14*d**2 + 3*d + 8. Determine -11*b(z) - 4*y(z). -z**2 - z + 1 Let j(f) = 3*f**2 + 2 + f - 7*f**2 - 3*f + 6*f**2 - 4*f**3. Let w = 6 - 4. Let c(o) = -o**w - o**2 + 3*o - 3 - o**2 + 5*o**3. Give -2*c(v) - 3*j(v). 2*v**3 Let g(j) = 1263*j - 10 + 4 + j**3 - 1257*j + 7*j**2. Let z(d) = 2*d**3 + 13*d**2 + 11*d - 11. What is 11*g(a) - 6*z(a)? -a**3 - a**2 Let b(w) = -w. Let p(h) = 2*h. Determine 3*b(f) + 2*p(f). f Let t(i) = -6*i**3 - 5*i**2
{ "pile_set_name": "DM Mathematics" }
7*o - 12 for o. -1 Let b(d) = 8*d - 7. Let a be b(5). Let z = 56 - a. Solve -f = k - 2, 5*f - 2*k - z = -6 for f. 3 Let g = 8031 - 8027. Solve -5*a + 12 = 7, 0 = -g*t + 4*a - 12 for t. -2 Let t(l) = 12*l**3 - 3*l**2 + 1. Let b be t(1). Let q = 4651 - 4648. Solve -3*k + q*m = 18, 5*k - 2*m + b = -8 for k. -2 Let m(q) = -3*q + 39. Let s be m(2). Suppose -4*j = -5*r - s, 10*r + 31 = 3*j + 5*r. Solve 27 = -o - 5*u, 1 = -j*u - 9 for o. -2 Let l(x) = 25*x - 1361. Let r be l(56). Solve 6*y - r = 3*m, -4*m = -3*y + 4*y + 16 for y. 4 Suppose -n - 1101*a + 1106*a + 37 = 0, -3*n + 3*a = -111. Solve -5*c = u - 28, 4*u + 10*c = 5*c + n for u. 3 Suppose -2*x - 2484 = -20*x. Suppose 9*u - x = -14*u. Solve u = 4*p - 2, w + 3*p - 4 = 0 for w. -2 Suppose 0 = -11*x + 4*x - 42. Let b be 15/x*72/(-30). Let m = -17 + 21. Solve -2*a = w + 6, m*a + 12 = b*w - w for a. -3 Let d(j) = -9*j - 23. Let q be d(-3). Suppose 2*n - 60 = -q*m, -5*n + 65 + 58 = m. Solve 4*l - n = 8*l + c, 12 = -4*l + 2*c for l. -5 Let w = 1853 + -1823. Solve -14 = 2*o - 4*q, -2*o + 29*q - w*q = 4 for o. -3 Suppose -11*j - 37 = -26. Let p be (-7)/(8 + -1) - j. Solve -g - 19 = -5*h, p = -3*h + 2*h + 3*g + 1 for h. 4 Let g be (-7 + -4 + 6 - 0)*-1. Solve 0 = -5*r + u - 1, -5 = -9*r + 6*r - g*u for r. 0 Suppose z + 61 - 63 = 0. Solve 5*b - 7 = -z*d - 1, 4*b + 3*d - 2 = 0 for b. 2 Suppose 89 = 6*x + 29. Let s be (0 + (-2)/x)/((-41)/205). Solve -c - a - s = -3, c = 2*a - 1 for c. 1 Let x = -380 - -298. Let y = 87 + x. Solve 0 = -3*t - 4*l + 20, 9*l = 5*t + 8*l + y for t. 0 Suppose -15*f + 14*f = -77. Let m = 71 - f. Let z be (3 + -3)/((-18)/m). Solve -4*t + 1 = 5*q, 3*t = -q - z*q + 9 for q. -3 Let d = 43 - 41. Let f be 8/(-16) + (-3)/(-6). Suppose f*a = -2*a + 6. Solve n - d*z - a = 0, 7*n - 2*n = 3*z + 8 for n. 1 Suppose -2*z + 0*z - 59 = 5*a, -38 = 2*a - 4*z. Let p = a + 27. Let k = 14 - p. Solve 2*x + 6 = -k*c + c, 2 = -2*x + 2*c for x. -5 Let s(h) = h**3 + 93797*h + 36 - 93815*h + 0*h**3 - 15*h**2. Let x be s(16). Solve -6 = -4*z - x*m + 2*m, z - m = 9 for z. 4 Let o = -2889 - -2891. Solve -26 = -4*p - o*h, 4*p + 5*h - 9 = 8*p for p. 4 Suppose 0 = 5*l - l - 48. Let f = -22 + 27. Suppose 0 = t + f*x - 14, 2*t - l - 2 = -3*x. Solve -t*q + g - 21 = 0, -2 = -3*g + 1 for q. -5 Let z = -50 + 164. Let d = z + -112. Let t = -34 + 47. Solve f - 5*w = t, 5*f + 2*w = -d*w - 22 for f. -2 Suppose -1127 = -179*k + 1916. Solve -20*u + k*u = 5*m - 14, 10 = -3*u + m for u. -2 Suppose -1097*a + 1104*a = 8337. Suppose -a*z + 1188*z + 30 = 0. Solve w - 5*v + z = 0, 3*w + 18 = v + 2*v for w. -5 Let i be (4/4 - (-3)/(-1)) + -2. Let m be (-19)/i + -3 + 65/20. Suppose -3*n + 1 = -2*f - 6, -15 = n - m*f. Solve -4*b + 4*w = n*w + 3, 3*w = b + 4 for b. -1 Suppose -34*d + 1362 = 376. Solve 4*o + 2*k = -6, 4*o + 24*k = d*k + 1 for o. -1 Let s(g) = -3 + 10*g - g**2 - 15*g + 2*g**2. Let w be s(-3). Let d be (1 - 1)/(-20 + w). Solve -2*z - l = 4, z + 2*l + 5 = -d*z for z. -1 Let z(m) = m**3 - 40*m**2 + 352*m - 10. Let u be z(13). Solve 3*w = -f - 12, -u + 7 = -w - f for w. -4 Let b = -339 + 483. Let l be ((-3)/2)/((-27)/b). Suppose l*p = 7*p. Solve -2 = h - p, -7 = 3*z - h for z. -3 Let j = 286 - 208. Suppose -4*t + 26 = 2*d, -47 = -5*t - 5*d - 2. Suppose -58 + j = t*x. Solve -4*b + 5*a = -0 - 21, -b + x*a = -9 for b. 4 Suppose 4*g - 6*g - 848 = 0. Let a = g - -425. Solve 5*y - 2*k + 3*k = -a, -13 = -3*y - 4*k for y. -1 Let i = 486 + -138. Let b = i - 345. Solve -3*a + 14 = 4*c - 2*a, 0 = 2*c - b*a - 14 for c. 4 Suppose -5*n = 0, i - 57*n - 3 = -52*n. Solve i*t - 2*u = 3, 3*u + 5 = 4*t + 2 for t. 3 Let d be ((-30)/(-18))/((-5)/(-9)). Suppose -20*h + 19*h = -d. Let v be (7 - -1)/2 - 0. Solve 3*i = -v*a - 4, h*i + 2 = 4*i + 3*a for i. -4 Let u = 35 - 26. Suppose -12*p + 12 = -u*p. Suppose p*n = j + j + 6, 5*n = j + 3. Solve 8 = d + 4*a, n*a - 32 = 5*d - 4*a for d. -4 Let h(a) = a**2 - 6*a + 17. Let g be ((-3)/(-2))/(1*(-3)/(-14)). Let x be h(g). Solve -c = -4*v + 3, -4*c + 0*v = 2*v - x for c. 5 Suppose -y = 5*h - 45, -2*h - h - 4*y = -44. Suppose -3*g + 9*x = 10*x - h, -g + x + 8 = 0. Solve 3*v - 4*a - 5 = 0, 2*v - g = -3*a + 5 for v. 3 Let n be (-37)/(-185) + (-14)/(-5). Solve -5*i - 15 - 22 = n*r, -2*r - 3 = -i for i. -5 Let f(r) = -r + 11. Let u be f(8). Let j be 6/2*(-19)/(-3)*1. Solve -j = -a - 4*h, -17 = 5*a - 3*a - u*h for a. -1 Suppose -4 = -19*c + 8*c + 40. Solve c*i = 2*k + 16, -2*i + 0*i = k - 8 for i. 4 Let n = 40 + -21. Suppose -3289*v - 145 - 1 = -3362*v. Solve 0 = 3*b + v*t - n, 0*t = -b + 4*t - 17 for b. 3 Suppose v - 40 = -137. Suppose 6*g - 2*g = -8, -g + 498 = 5*s. Let t = v + s. Solve t*w + 16 = -n, -4*n - 20 - 8 = 3*w for w. -4 Suppose 2*c + 3*y - 2027 = 0, -5*y + 2316 + 1735 = 4*c. Suppose -m = c - 1021. Solve d + m = 4*t - t, -t = -3*d - 4 for t. 4 Suppose 27*h + 70 = 41*h. Suppose 0 = 4*r - 3*o - h, 10*r - 9*r = -o + 3. Solve 2*s + 15 = -3*y, -5*y - 25 = -r*s + 3*s for y. -5 Let o(k) = k**3 + 34*k**2 - 32*k + 109. Let b be o(-35). Solve 2*s + b*j - 9 + 5 = 0, 5*s + 4*j - 4 = 0 for s. 0 Let o be 2*(30/6)/5. Let n be (-8 - -8)*o/(-4)*-1. Solve 0 = 3*t - 5*d - 11, t + 3*t - 4*d - 12 = n for t. 2 Let s(b) = 12*b**2 - 284*b + 189. Let w be s(23). Solve 0 = -a + w*o - 4, 8 = -4*a + 5*o + 7 for a. 1 Let m = -7 - -12. Let b(k) = -96*k**2 - 111*k**2 + 209*k**2 + k + 5 - 12*k. Let h be b(m). Solve -37 = 5*p + 3*x, h = -2*p - 2*p - 2*x - 28 for p. -5 Suppose 5*i + 11 = j, -2*j - i + 2*i = -13. Let n be (-5 + j)*(-1 + 1). Solve -3*d = n, -2*w - 5*d + 10 = -7*w for w. -2 Let r(z) = 2*z**2 + 3*z - 4. Let w = 49 - 52. Let o be r(w). Solve 3*s = y + 6*s - o, -2*s - 4 = -3*y for y. 2 Suppose 57 = -2*v + 5*v + 2*q, -2*v + 5*q = -38. Suppose 2*r = -v*r. Solve -3*l + 2*x + 11 = r, 0 = -3*l + 4*x + x + 23 for l. 1 Suppose -416 - 37 = -3*d. Let f = 155 - d. Solve f*s - 2*c = 10, 3 + 16 = 5*s + 4*c for s. 3 Suppose 0 = 242*o - 124*o - 120*o + 6. Solve 6 = 2*p, -o*j - 3 = -p + 2*p for j. -2 Suppose 2*m - 16 - 14 = 0. Let w = -140 + -38. Let h = w - -182. Solve -5*x = 4*b + m, -x + b = h*x + 15 for x. -3 Suppose -144 = -w - 2*a - 135, -4*a = -2*w + 58. Solve p + w = -5*z, p + 0*p - 3*z = 13 for p. 1 Suppose 0*c = -2*c + 10. Suppose 25 = 18*t + 7. Let i be (-1 + 0)/((3/(-9))/t). Solve -6*n - i*y = -2*n + 29, -22 = c*n - y for n. -5 Suppose 5*n - 117 + 716 = -3*g, -5*n + 5*g = 615. Let w = n + 124. Solve 3*i - 3*l = 2*l + 20, 0 = -i - 2*l + w for i. 5 Suppose -3*w - 3*k + 24 = 0, 3*w + 3*k - 12 = w. Let q be 5*(-2 + 22/5). Suppose -w*o + q = -8*o. Solve -o*r - r = 5*m - 36, -4*m + 12 = -r for r. 4 Suppose -41*o = -40*o. Suppose 5*r + 4*i - i - 6 = o, -i = 3*r - 6. Let z = 42 - 38. Solve h - z*g = r, 2*h + h + 3*g = -21 for h. -5 Let t be ((-1)/(-4))/((-4)/(-32)). Suppose -g + t*w - 4 = 0, 4*g - 3*w + 8 = 7. Solve 2*h = -2*x - 4, -3*x + g*h = 3*h + 6 for x. -2 Suppose -3*z + 138 - 54 = 0. Suppose 36 + z = 16*q. Solve -3*u = 3*h - 6 - 0, -q*h + 6 = 3*u for h. 0 Suppose 50 + 79 = 28*v - 11. Solve 4*k - 9 = a, -a - 3 = -3*k + v for k. 1 Suppose b - 3 + 0 = 0. Let u(n) = -n + 13. Suppose -2*y + 6 = 3*m, -y = -4*y - 3*m + 12. Let d be u(y). Solve -3*k + 16 = -s + k, -k - d = -b*s for s. 4 Let s(b) = b - 18. Let w be s(-13). Suppose -2*i = y + 2*i + 13, -3*y + 4*i - 119 = 0. Let z = w - y. Solve -4*k + 4*m = 16, z*k + 18 = -0*k + 4*m for k. 1 Let s = 1 + -1. Suppose -5*r + r + 12 = s. Let a(d) = -d**3 - 20*d**2 - 7*d - 137. Let u be a(-20). Solve 3*x + 21 = x + r*j, 3*x - 6 = -u*j for x. -3 Let y be (-152)/(-20) + 15/(-25). Let l be 1 - 5/(-5)*y. Solve -2*k + t + t - l = 0, 4*k + t = -21 for k. -5 Suppose 0*q + q = 0. Suppose 0 = -120*v - 127998 + 128718. Solve q = -5*k, v*k = p + k + 3 for p. -3 Suppose -17*m + 156 = -4*m. Let f(o) = -o**3 + 11*o**2 + 2*o - 13. Let l be f(11). Let z = m - l. Solve 5*u - 1 = -3*b + 22, 2*u + z*b = 11 for u. 4 Suppose -3*b = -4*p - 17, -365 = 2*b - 4*p - 379. Solve 12*y - 13*y + 3 = 2*r, -b*r + 2*y = -22 for r. 4 Suppose 4*p = 20, -2*u - 20*p + 19*p = -53. Solve -3*r + 9 = 3*k, 0 = -4*r - k + u - 3 for r. 6 Suppose -5*q + 3*k = -79, 3 = 4*k - 5. Suppose -13 - q = -10*d. Solve -5 + d = -v + s, -2*v = 3*s - 4 for v. 2 Let m = 4353 - 4286. Solve -c + 4*x = -9, -3*c - 56 = -4*x - m for c. 1 Suppose 116 = 4
{ "pile_set_name": "DM Mathematics" }
17? 13 What is the remainder when 42 is divided by 13? 3 What is the remainder when 693 is divided by 16? 5 Calculate the remainder when 1251 is divided by 179. 177 What is the remainder when 122 is divided by 16? 10 What is the remainder when 3152 is divided by 289? 262 Calculate the remainder when 168 is divided by 32. 8 Calculate the remainder when 1280 is divided by 49. 6 Calculate the remainder when 130 is divided by 24. 10 What is the remainder when 179 is divided by 30? 29 Calculate the remainder when 655 is divided by 72. 7 Calculate the remainder when 369 is divided by 93. 90 Calculate the remainder when 248 is divided by 123. 2 Calculate the remainder when 4255 is divided by 251. 239 What is the remainder when 558 is divided by 53? 28 What is the remainder when 5437 is divided by 160? 157 What is the remainder when 29 is divided by 19? 10 Calculate the remainder when 53 is divided by 42. 11 What is the remainder when 559 is divided by 12? 7 Calculate the remainder when 694 is divided by 297. 100 Calculate the remainder when 439 is divided by 13. 10 Calculate the remainder when 2092 is divided by 688. 28 What is the remainder when 18269 is divided by 105? 104 Calculate the remainder when 333 is divided by 38. 29 What is the remainder when 11 is divided by 2? 1 What is the remainder when 86 is divided by 44? 42 Calculate the remainder when 305 is divided by 291. 14 What is the remainder when 107 is divided by 27? 26 What is the remainder when 283 is divided by 26? 23 What is the remainder when 83 is divided by 28? 27 What is the remainder when 8782 is divided by 2926? 4 Calculate the remainder when 2118 is divided by 106. 104 What is the remainder when 219 is divided by 22? 21 Calculate the remainder when 293 is divided by 214. 79 What is the remainder when 260 is divided by 12? 8 What is the remainder when 2674 is divided by 26? 22 Calculate the remainder when 489 is divided by 29. 25 What is the remainder when 274 is divided by 259? 15 What is the remainder when 76 is divided by 20? 16 Calculate the remainder when 917 is divided by 102. 101 What is the remainder when 224 is divided by 25? 24 What is the remainder when 326 is divided by 3? 2 What is the remainder when 5639 is divided by 50? 39 Calculate the remainder when 236 is divided by 23. 6 What is the remainder when 261 is divided by 44? 41 What is the remainder when 51 is divided by 29? 22 Calculate the remainder when 148 is divided by 42. 22 What is the remainder when 584 is divided by 213? 158 Calculate the remainder when 233 is divided by 20. 13 What is the remainder when 101 is divided by 4? 1 Calculate the remainder when 172 is divided by 35. 32 Calculate the remainder when 1778 is divided by 178. 176 Calculate the remainder when 170 is divided by 76. 18 Calculate the remainder when 144 is divided by 21. 18 Calculate the remainder when 1168 is divided by 28. 20 Calculate the remainder when 913 is divided by 301. 10 What is the remainder when 458 is divided by 149? 11 What is the remainder when 128 is divided by 54? 20 What is the remainder when 120 is divided by 2? 0 Calculate the remainder when 64 is divided by 26. 12 Calculate the remainder when 144 is divided by 49. 46 What is the remainder when 753 is divided by 13? 12 Calculate the remainder when 72 is divided by 45. 27 Calculate the remainder when 10943 is divided by 114. 113 Calculate the remainder when 6015 is divided by 43. 38 Calculate the remainder when 120 is divided by 29. 4 Calculate the remainder when 110 is divided by 16. 14 Calculate the remainder when 306 is divided by 34. 0 Calculate the remainder when 1572 is divided by 105. 102 Calculate the remainder when 26 is divided by 5. 1 What is the remainder when 121 is divided by 65? 56 Calculate the remainder when 73 is divided by 29. 15 What is the remainder when 80 is divided by 15? 5 Calculate the remainder when 963 is divided by 21. 18 What is the remainder when 834 is divided by 410? 14 Calculate the remainder when 439 is divided by 63. 61 Calculate the remainder when 49 is divided by 20. 9 What is the remainder when 986 is divided by 318? 32 What is the remainder when 138 is divided by 50? 38 Calculate the remainder when 228 is divided by 73. 9 What is the remainder when 17 is divided by 2? 1 What is the remainder when 404 is divided by 29? 27 Calculate the remainder when 207 is divided by 14. 11 Calculate the remainder when 22 is divided by 12. 10 Calculate the remainder when 47 is divided by 27. 20 Calculate the remainder when 313 is divided by 54. 43 What is the remainder when 25679 is divided by 12? 11 Calculate the remainder when 423 is divided by 222. 201 What is the remainder when 485 is divided by 126? 107 What is the remainder when 317 is divided by 82? 71 What is the remainder when 594 is divided by 143? 22 Calculate the remainder when 7202 is divided by 17. 11 What is the remainder when 106 is divided by 27? 25 Calculate the remainder when 3693 is divided by 308. 305 What is the remainder when 634 is divided by 12? 10 What is the remainder when 75 is divided by 10? 5 Calculate the remainder when 220 is divided by 194. 26 Calculate the remainder when 98 is divided by 96. 2 What is the remainder when 81 is divided by 57? 24 Calculate the remainder when 72 is divided by 44. 28 What is the remainder when 235 is divided by 17? 14 Calculate the remainder when 1465 is divided by 134. 125 Calculate the remainder when 1402 is divided by 45. 7 Calculate the remainder when 639 is divided by 31. 19 What is the remainder when 124 is divided by 18? 16 What is the remainder when 2926 is divided by 122? 120 What is the remainder when 1257 is divided by 177? 18 What is the remainder when 11 is divided by 3? 2 Calculate the remainder when 592 is divided by 276. 40 What is the remainder when 447 is divided by 64? 63 Calculate the remainder when 2195 is divided by 15. 5 Calculate the remainder when 71 is divided by 38. 33 Calculate the remainder when 636 is divided by 71. 68 Calculate the remainder when 54 is divided by 16. 6 Calculate the remainder when 561 is divided by 115. 101 What is the remainder when 4399 is divided by 55? 54 What is the remainder when 930 is divided by 55? 50 What is the remainder when 118 is divided by 20? 18 What is the remainder when 2268 is divided by 35? 28 Calculate the remainder when 86 is divided by 11. 9 What is the remainder when 987 is divided by 271? 174 Calculate the remainder when 386 is divided by 131. 124 Calculate the remainder when 61 is divided by 23. 15 Calculate the remainder when 2703 is divided by 44. 19 What is the remainder when 2573 is divided by 103? 101 What is the remainder when 159 is divided by 42? 33 What is the remainder when 49979 is divided by 35? 34 Calculate the remainder when 333 is divided by 56. 53 What is the remainder when 819 is divided by 213? 180 Calculate the remainder when 1604 is divided by 450. 254 What is the remainder when 604 is divided by 121? 120 Calculate the remainder when 205 is divided by 94. 17 What is the remainder when 3058 is divided by 204? 202 Calculate the remainder when 360 is divided by 12. 0 What is the remainder when 11132 is divided by 174? 170 What is the remainder when 278 is divided by 98? 82 Calculate the remainder when 312 is divided by 16. 8 Calculate the remainder when 1509 is divided by 12. 9 Calculate the remainder when 82 is divided by 31. 20 Calculate the remainder when 1015 is divided by 144. 7 Calculate the remainder when 313 is divided by 114. 85 Calculate the remainder when 11 is divided by 1. 0 What is the remainder when 724 is divided by 32? 20 What is the remainder when 2522 is divided by 807? 101 What is the remainder when 108 is divided by 68? 40 What is the remainder when 521 is divided by 8? 1 Calculate the remainder when 381 is divided by 16. 13 Calculate the remainder when 273 is divided by 146. 127 Calculate the remainder when 254 is divided by 17. 16 What is the remainder when 105 is divided by 18? 15 Calculate the remainder when 772 is divided by 192. 4 What is the remainder when 556 is divided by 31? 29 What is the remainder when 689 is divided by 29? 22 What is the remainder when 108 is divided by 14? 10 What is the remainder when 443
{ "pile_set_name": "DM Mathematics" }
58*z**2. 144*z**2 Collect the terms in 109*m**3 - 19*m**2 + 78*m**3 + 19*m**2. 187*m**3 Collect the terms in 2187 - 27*s**3 - 2187. -27*s**3 Collect the terms in 743*p**2 + 728*p**2 - 1470*p**2. p**2 Collect the terms in -19*r**3 + 10*r**3 + 6*r**3. -3*r**3 Collect the terms in 2107 + 93*h**2 - 2107. 93*h**2 Collect the terms in 31*s**3 + 993*s**2 - 993*s**2. 31*s**3 Collect the terms in -4*v + 5*v - 9*v. -8*v Collect the terms in 5*n**2 - n + 15 - 15. 5*n**2 - n Collect the terms in q + 1 - 5 - 4 - 5*q. -4*q - 8 Collect the terms in -46*v + 2 - 162*v - 5. -208*v - 3 Collect the terms in 29 - 4*o**3 - 29. -4*o**3 Collect the terms in 3*t**2 - 2*t**2 - 30 + 7*t**2 + 33. 8*t**2 + 3 Collect the terms in 101*u - 268*u + 164*u. -3*u Collect the terms in 37*f**2 - 52*f**2 + 49*f**2 + 66*f**2. 100*f**2 Collect the terms in -24*t + 24*t + 7*t**2. 7*t**2 Collect the terms in -2376*k**3 + 2379*k**3 + 0 + 1 - 1. 3*k**3 Collect the terms in 8*m + 0*m - m. 7*m Collect the terms in 44*z**2 - 30*z**2 + 36*z**2 + 142*z**2. 192*z**2 Collect the terms in -5*d**3 - 102*d**2 + 102*d**2 + d**3. -4*d**3 Collect the terms in 23 + 18*m**2 - 4*m**2 - 23. 14*m**2 Collect the terms in 3*k - k - 4*k. -2*k Collect the terms in -12*h**2 + 3 - 1 - 6*h**2 - 4. -18*h**2 - 2 Collect the terms in -c - 1730*c**2 + c + 1729*c**2. -c**2 Collect the terms in -21*k**2 - 2 + 20*k**2 + 2. -k**2 Collect the terms in 853*p - 6 - 853*p - 7*p**2. -7*p**2 - 6 Collect the terms in 238 - 238 + 2*t**2. 2*t**2 Collect the terms in -37 + 49*n + 37. 49*n Collect the terms in 3*p + 5*p**3 - 3*p - 8*p**3. -3*p**3 Collect the terms in 13*f**2 - 55*f**2 - 25*f**2 + f**2 + 2*f. -66*f**2 + 2*f Collect the terms in 18*p**2 - 4*p**3 + 23*p**2 - 41*p**2. -4*p**3 Collect the terms in 7*o - 2*o - 8*o - o. -4*o Collect the terms in 740 + 29*b**2 - 740. 29*b**2 Collect the terms in -32*t - 30*t - 29*t + 95*t. 4*t Collect the terms in 7610*y - 7610*y + 24*y**3. 24*y**3 Collect the terms in -1294 + 4*f + 1294. 4*f Collect the terms in -3*w**3 - 2*w**3 - 3*w**3. -8*w**3 Collect the terms in 17*i**2 - 5*i**2 + 5*i**2. 17*i**2 Collect the terms in 26 - 2*g + 3*g + 4*g. 5*g + 26 Collect the terms in -2*i**3 + 4*i**2 + 7*i**2 - 11*i**2 + 167. -2*i**3 + 167 Collect the terms in -6*y - 13*y + 17*y. -2*y Collect the terms in -t + t - 335*t**2 + 323*t**2. -12*t**2 Collect the terms in 11 - 6 + 67*f - 7. 67*f - 2 Collect the terms in n - n + 3128*n**3 - 411*n**3. 2717*n**3 Collect the terms in 6 + 28*p - 6. 28*p Collect the terms in 5*f + 8*f + 2*f - 13*f + f. 3*f Collect the terms in 2*n**3 + 5*n**3 - 30*n**3 - 60*n**3. -83*n**3 Collect the terms in -120*h**3 + 3 + 2 - 5. -120*h**3 Collect the terms in 3746*y + y**3 + 3747*y - 7493*y. y**3 Collect the terms in 4*g**3 - g**2 - 4*g**3 + g**3 + g**2. g**3 Collect the terms in -2 - 11*s + 2 + s. -10*s Collect the terms in -3*l + 4*l + l + 5*l - 2*l. 5*l Collect the terms in 17*s - 5*s - 2*s - 7*s. 3*s Collect the terms in -218*u**2 - 35*u + 35*u + 217*u**2. -u**2 Collect the terms in -2*u**2 + 7*u**2 + 102*u**2. 107*u**2 Collect the terms in -21022*y + 40*y**2 + 21022*y. 40*y**2 Collect the terms in 12166057 + 2*a - 12166057. 2*a Collect the terms in 5*c**2 - 189*c**3 - 8*c**2 + 3*c**2. -189*c**3 Collect the terms in -20*o**2 - 35*o**2 - 31*o**2 + 5*o**2. -81*o**2 Collect the terms in 554*o**2 - 554*o**2 - 2*o + 3*o + 17*o**3. 17*o**3 + o Collect the terms in -189 + 2*p**3 + 189 + 5*p - 5*p. 2*p**3 Collect the terms in -530*m - 3 + 527*m + 3. -3*m Collect the terms in -3*g**2 + 3*g**2 - 8*g**2 + 6*g**2 - g**2. -3*g**2 Collect the terms in 3*s**2 + 5 - 3 + 0*s**2. 3*s**2 + 2 Collect the terms in -153 - 2*g**2 + 4*g**2 + 153. 2*g**2 Collect the terms in 13*o**2 - o**2 - 7*o**2. 5*o**2 Collect the terms in 2*j**2 - 152 + 70 + 82. 2*j**2 Collect the terms in 2*a**3 + 13*a**2 + 6*a**2 - 24*a**2 + 5*a**2. 2*a**3 Collect the terms in 0*r**2 - 4*r**3 + 0*r**2 + 3*r**2. -4*r**3 + 3*r**2 Collect the terms in -18*f**2 - 3*f**2 - 4*f**2 - f**2. -26*f**2 Collect the terms in -24*l**2 + 182 - 182. -24*l**2 Collect the terms in 34 - 34 + 20*x**3. 20*x**3 Collect the terms in -a - 21*a - 11*a - 10*a. -43*a Collect the terms in -6*u**3 + u**3 - 9*u**3. -14*u**3 Collect the terms in 2*o - 967 + 967. 2*o Collect the terms in -5 + 4 - 2*z + 1. -2*z Collect the terms in b + 12*b**2 + 9*b**2 - b - 23*b**2. -2*b**2 Collect the terms in -69051 + 69051 + 3*l. 3*l Collect the terms in 36*v - 33*v - 104 + 104. 3*v Collect the terms in -79*t + 79*t - 968*t**2. -968*t**2 Collect the terms in -3 - 6*i**2 + 4 - 3 + 32*i**2. 26*i**2 - 2 Collect the terms in 9*d - 24 + 24. 9*d Collect the terms in d**2 + 170*d - 19 - 12*d + 19. d**2 + 158*d Collect the terms in -3*r - 7*r + 31 + 7*r + 2*r. -r + 31 Collect the terms in 9*z + 23*z + 2*z - 16*z. 18*z Collect the terms in 18*g**2 - 20*g**2 + 9*g**2. 7*g**2 Collect the terms in 5*s**3 - 23363*s**2 + 23363*s**2 + 7*s**3. 12*s**3 Collect the terms in -15*m**3 - 6*m**3 - 8*m**3 - 18*m**3. -47*m**3 Collect the terms in 17*l**3 - 13*l**3 - 14*l**3. -10*l**3 Collect the terms in -319*r + 1 - 3 + 4. -319*r + 2 Collect the terms in 0*a**2 - 8 + 3*a**2 - 1. 3*a**2 - 9 Collect the terms in -569 + 1137 - 568 + 3*q. 3*q Collect the terms in 2*v + 4*v - 7*v. -v Collect the terms in 77*x**2 - 77*x**2 - x - 38*x**3. -38*x**3 - x Collect the terms in -144*s**2 + 10*s**2 + 133*s**2. -s**2 Collect the terms in 2*b + 22*b - 49*b. -25*b Collect the terms in -11463*z**2 + 74*z**3 + 11463*z**2. 74*z**3 Collect the terms in 3*u + u - 4*u - 17*u**3. -17*u**3 Collect the terms in -3*s**2 - 11*s + 6*s + 2*s**2 + 5*s. -s**2 Collect the terms in 0*p**2 - 25*p**2 + 2*p**2 - 15*p**2. -38*p**2 Collect the terms in -4 - 42*r + 1 - 2*r**2 + 3 - 19*r. -2*r**2 - 61*r Collect the terms in 28*w**2 - 14*w**2 - 7*w**2 - 2*w**2 - 9*w**2. -4*w**2 Collect the terms in -200 + 38*p + 200. 38*p Collect the terms in -2 + 2 + 40*o + 47*o - 92*o. -5*o Collect the terms in -21*n**2 + 21*n**2 - 56*n**3. -56*n**3 Collect the terms in 77*j - 38*j - 40*j. -j Collect the terms in 151*u**2 + 127*u**2 - 1822*u**2. -1544*u**2 Collect the terms in -7*f + f - 8*f + 3 + 6*f. -8*f + 3 Collect the terms in -31 + 13*b + 33 + 12*b + 2*b. 27*b + 2 Collect the terms in 415*p - 200*p - 208*p. 7*p Collect the terms in -209*n + 649*n - 206*n - 206*n. 28*n Collect the terms in -43402 + 43402 + 14*z. 14*z Collect the terms in -117*w - w**3 + 117*w. -w**3 Collect the terms in -1068*o + 3*o**3 + 1068*o. 3*o**3 Collect the terms in 213 + 58*f - 51*f - 213. 7*f Collect the terms in -104*g + 104*g + 142*g**3 - 139*g**3. 3*g**3 Collect the terms in -78492 + 5*j + 78492. 5*j Collect the terms in -2*g - 101 + g + 12 + 3*g. 2*g - 89 Collect the terms in 6*y**3 - 7*y**3 + 3*y**3 + y**3. 3*y**3 Collect the terms in -364 - 365 + 729 + 7*q**2. 7*q**2 Collect the terms in -195*p**3 + 58*p**3 - 451*p**3. -588*p**3 Collect the terms in -3*x**3 + 3*x**3 - 2*x**3 + 0*x**3 + 0*x**3. -2*x**3 Collect the terms in -64 + 97*t + 64. 97*t Collect the terms in 6*r + 13*r - 10*r. 9*r Collect the terms in 0 + 0 + 11*l**3 - 23*l**3. -12*l**3 Collect the terms in -576638 + l**3 + 576638. l**3 Collect the terms in -66*w**2 + 51*w**2 + 16*w**2. w**2 Collect the terms in 6*s**3 - 3*s**3 + 4*s**3. 7*s**3 Collect the terms in -9*n**2 - 6*n**2 - 10*n + 10*n. -15*n**2 Collect the terms in 39*q - 80*q + 38*q. -3*q Collect the terms in 11*d - 4*d + 8*d - 2*d. 13*d Collect the terms in -4668*x**3 + 2333*x**3 + 2338*x**3. 3*x**3 Collect the terms in -178*m**2 - 156*m**2 + 318*m**2. -16*m**2 Collect the terms in 317*u**2 + 13*u**3 - 317*u**2. 13*u**3 Collect the terms in 4*v**2 - 13*v**3 + 3*v**3 - 4*v**2. -10*v**3 Collect the terms in -44*g**3 - 228*g**3 - 67*g**3. -339*g**3 Collect the terms in j**2 - 6*j**2 + 4*j**2. -j**2 Collect the terms in a**2 + 20 - 36 + 16. a**2 Collect the terms in 6*l - 2*l**2 - 8*l - 3*l + 0*l. -2*l**2 - 5*l Collect the terms in -118*r - 109*r + 228*r. r Collect the terms in 55*d - 23*d - 11*d - 20*d. d Collect the terms in -4*a**3 + 0*a**3 + 426*a - 426*a. -4*a**3 Collect the terms in -1332 + 1332 - 3*f**3. -3*f**3 Collect the terms in 5*d + 5578 - 5578. 5*d Collect the terms in 51666 - 51666 - 8*t. -8*t Collect the terms in -6*j**2 +
{ "pile_set_name": "DM Mathematics" }
.6 16467.6 12 times 1578 18936 -279395*-1 279395 What is the product of 41 and 375.5? 15395.5 1308*-0.12 -156.96 Calculate 1.2*-49443. -59331.6 6222*0.6 3733.2 Product of 53.3 and 166. 8847.8 Product of 2525 and 0.1. 252.5 What is 15 times 5427? 81405 -1645 * 5 -8225 168.546*11 1854.006 Multiply 0.09 and 98.5. 8.865 -3.2*603 -1929.6 53809 * -2 -107618 -0.8088*-0.4 0.32352 Multiply 0.750889 and -3. -2.252667 What is the product of 38898.44 and -0.4? -15559.376 -19.32637 times 4 -77.30548 What is -171.302 times 5? -856.51 -824.78 times -3 2474.34 -307774 times 0.4 -123109.6 Work out -0.1 * -8309. 830.9 Calculate 1023*-0.79. -808.17 241771 * -0.01 -2417.71 -68 times -1372 93296 What is 0.94 times 6679? 6278.26 Product of 198.091 and -0.02. -3.96182 Calculate 3*-6446. -19338 -61148 * 0.5 -30574 Product of 53 and 8.77. 464.81 Product of -5 and 105140. -525700 Calculate -276.57*5. -1382.85 Product of -3123 and -243. 758889 Multiply -20.24 and 996. -20159.04 What is the product of 0.529 and -0.211? -0.111619 0.02006 times 9 0.18054 Product of 4.853 and -21. -101.913 What is -0.1 times -0.0081105? 0.00081105 2395292*0.4 958116.8 15.76 * -5 -78.8 0.02 times -3376 -67.52 Multiply 4745 and 0.184. 873.08 Multiply -4 and -838815. 3355260 112695 times 3 338085 What is 691.6 times -257? -177741.2 Multiply 5 and -2989. -14945 Calculate -6.918*0.03. -0.20754 Product of -5780 and -35. 202300 -32064 * 0.01 -320.64 What is the product of -9797 and -15? 146955 Multiply 1111 and -0.2. -222.2 What is the product of -39.5 and -4.65? 183.675 Calculate 0.55*5996. 3297.8 -13.3*-520 6916 What is -0.01131 times 3? -0.03393 -196*863 -169148 What is the product of 0.3 and 21706? 6511.8 Product of -1596 and -0.7. 1117.2 Product of 2644 and -0.1791. -473.5404 Work out -0.32774 * -3. 0.98322 Multiply 0.016433 and -123. -2.021259 Work out 0.2 * 2.8357. 0.56714 Work out 13 * 95664. 1243632 -12.74*0.72 -9.1728 -1488 * 0.96 -1428.48 Calculate 103652*-3. -310956 What is 2 times 17374? 34748 -0.8*-26395 21116 5.79*-1.11 -6.4269 Work out 1022 * 0.429. 438.438 Work out 0.3 * 58317. 17495.1 What is 2063.81 times 1.5? 3095.715 -3657 times -1.69 6180.33 What is the product of -1.345 and -38.7? 52.0515 -0.01 times -3.152 0.03152 -23 times 3.9957 -91.9011 What is 17.823 times 0.29? 5.16867 -66*-3250 214500 Multiply -3.5891 and -0.3. 1.07673 12.2 times 0.6 7.32 Product of -295 and 5.38. -1587.1 1134 times 560 635040 419*0.17 71.23 -2 times -14899.57 29799.14 224.794*-0.1 -22.4794 What is the product of 66.6 and -0.75? -49.95 Multiply 2.914 and -2302. -6708.028 Product of -2556 and 40. -102240 -15603 times 0.1 -1560.3 What is -1088 times -84? 91392 -5753*0.039 -224.367 232*-8.4 -1948.8 390 * -1527 -595530 Work out 29444 * 0.249. 7331.556 Calculate -0.3*-141.46. 42.438 1.4 * -418 -585.2 Product of 0.096 and 209.26. 20.08896 What is the product of -218956 and -3? 656868 What is -3.2 times -88.78? 284.096 What is -425 times -85? 36125 What is 25.7 times 249? 6399.3 Product of -1216.5 and -0.9. 1094.85 Multiply 0.5 and 125800. 62900 Product of 0.52 and -9080. -4721.6 Work out -440548 * 1. -440548 Calculate 1109*489. 542301 Work out -0.3 * -0.167064. 0.0501192 What is 634 times 1348? 854632 What is the product of -0.1931 and 258? -49.8198 Multiply 0.3 and -130532. -39159.6 2 * -52.271 -104.542 Calculate -35*2.1758. -76.153 Work out 0.7 * 0.87767. 0.614369 Calculate -2.245*414. -929.43 Product of 2.7777 and -1.5. -4.16655 What is the product of 85 and 0.0877? 7.4545 0.5*-847079 -423539.5 Product of 0.4 and -136250. -54500 Calculate -5459*4.3. -23473.7 Work out 50853 * -62. -3152886 0.2 * -1747 -349.4 What is -0.089186 times 26? -2.318836 What is -62.35 times 37? -2306.95 What is the product of -0.1 and -1183789? 118378.9 Product of 0.05 and 0.00141. 0.0000705 5 * 156138 780690 Multiply 50 and -428. -21400 Calculate -1723*-36.2. 62372.6 -0.2 times 15065 -3013 Product of -36893 and 14. -516502 Product of 22077 and -8. -176616 61981 times -74 -4586594 What is the product of -9727 and -71? 690617 Calculate -0.02*-45.607. 0.91214 -199.924*0.06 -11.99544 Multiply 0.0062 and -0.39. -0.002418 What is the product of 0.3836 and -1? -0.3836 Work out -0.383077 * -2. 0.766154 Product of 1649.32 and 0.09. 148.4388 -34 * 1852 -62968 What is -2846 times 0.885? -2518.71 218 * 3717 810306 Work out 25 * -6036. -150900 What is the product of 0 and 132808? 0 What is 2.12178 times 0? 0 What is the product of 0.4 and -8544? -3417.6 7.946*-1.4 -11.1244 Product of 5 and -460221. -2301105 What is -798 times 0.066? -52.668 What is 194 times 12.3? 2386.2 -153.9 times 0.359 -55.2501 -8940 times 0.21 -1877.4 Multiply 1.46 and -0.1. -0.146 5 times -21773 -108865 -55 * -1.654 90.97 Product of -169 and 624. -105456 Product of 12278 and -56. -687568 Product of 3.8 and 0.13033. 0.495254 41*-33413 -1369933 Product of 30.5 and 49. 1494.5 What is 42.1 times -74? -3115.4 Product of -0.052 and -0.127. 0.006604 Work out 4797 * -0.48. -2302.56 What is the product of 2592 and 31? 80352 Work out 0.001 * -369. -0.369 Product of 147975 and -0.2. -29595 5.8652 times 0.1 0.58652 Work out 0.58498 * -3. -1.75494 -32071 times 0.05 -1603.55 What is -2388 times 132? -315216 0.1 times -236.4 -23.64 Multiply 0.03904 and 0.02. 0.0007808 Product of -16.92 and 151. -2554.92 Product of -62227 and 1.3. -80895.1 Calculate -21.42*-685. 14672.7 Work out -72862 * -2. 145724 50651 times 5 253255 Multiply -0.04 and -56.97. 2.2788 2785.7 times -0.01 -27.857 -207760.7 times 2 -415521.4 Multiply -0.2 and -421.793. 84.3586 14.23*0.091 1.29493 Product of 0.9 and -3.89654. -3.506886 -0.0479*61 -2.9219 What is -0.57 times 8.56? -4.8792 3 * 0.0903 0.2709 What is -0.0018 times -110? 0.198 What is the product of -0.01 and 21104? -211.04 What is -1038.33 times -0.3? 311.499 Product of 0.2 and 177783. 35556.6 -42 times -0.044 1.848 What is -0.71 times -0.206? 0.14626 -18873 * 2 -37746 Multiply -5.8 and 15.17. -87.986 What is the product of -100.08 and 1.29? -129.1032 -0.35 * 368 -128.8 Work out 0.0966 * 1606. 155.1396 Product of -95 and -18. 1710 What is the product of -2905 and -3.6? 10458 Work out 2218 * 59. 130862 Product of 14430 and 0.5. 7215 What is the product of 0.099747 and 0.5? 0.0498735 Multiply 20.21 and -100. -2021 Calculate 361*-0.037. -13.357 Multiply -4 and -0.06274. 0.25096 41307 times 8 330456 Work out 3 * -213.671. -641.013 -37 * 56981 -2108297 What is the product of 3 and -0.13225? -0.39675 What is -0.13032 times 0.13? -0.0169416 Work out 2 * 282.9. 565.8 Multiply 36 and 519. 18684 What is -20 times 0.79? -15.8 1.1*6558 7213.8 -0.073*-0.48 0.03504 4.696 * 35 164.36 -11933474 times 4 -47733896 Multiply -1657 and -0.32. 530.24 Work out -12468 * -335. 4176780 377028 times 2 754056 Calculate -14.93*-195. 2911.35 Product of 7 and 26.01. 182.07 Calculate -174590*9. -1571310 What is 3 times -2535? -7605 Calculate -0.12*29042. -3485.04 Product of 5274 and -5.2. -27424.8 Product of -2.15 and -1063. 2285.45 5 * 21.2117 106.0585 238.15*2 476.3 Product of -2 and -321. 642 57 * -2660 -151620 Multiply -7.95 and 0.22. -1.749 What is the product of 0.3 and 573.596? 172.0788 What is -23 times -1565? 35995 Work out 0.1 * -66.4416. -6.64416 Work out -0.3 * -28056. 8416.8 Product of 39225 and 0.1. 3922.5 What is the product of -25.512 and -76? 1938.912 What is 0.209555 times 0.5? 0.1047775 Work out -12 * -16.871. 202.452 -504684*5 -2523420 Product of -0.11 and -0.884. 0.09724 -12 times -0.7212 8.6544 0.4*-598.267 -239.3068 Multiply -420516 and 4. -1682064 -91.1 * -0.66 60.126 Product of -0.993624 and 4. -3.974496 0.02595 times -6 -0.1557 What is -3 times -0.798342? 2.395026 Calculate -266801*0.4. -106720.4 What is 17 times 0.67162? 11.41754 Product of 201.15 and -2. -402.3 What is the product of -0.958 and -0.081? 0.077598 -1662170*0.2 -332434 -16.4 times -3.8 62.32 What is the product of 2458 and -19? -46702 Work out -1 * 20041. -20041 Multiply 3583.9 and -0.1. -358.39 0.4*-15561 -6224.4 Calculate 334.1*-193. -64481.3 What is the product of 1.2 and -74478? -89373.6 2 times 20096 40192 722 times 126 90972 Product of -0.254 and -0.581. 0.147574 Calculate 4*19003. 76012 Multiply 3 and -1097730. -3293190 Work out 0.052 * -0.0876. -0.0045552 22 times -0.0136 -0.2992 Work o
{ "pile_set_name": "DM Mathematics" }
ivided by 365? 363 Calculate the remainder when 15382 is divided by 961. 6 What is the remainder when 71796 is divided by 91? 88 What is the remainder when 48295 is divided by 48077? 218 Calculate the remainder when 11743 is divided by 1709. 1489 Calculate the remainder when 132276 is divided by 624. 612 What is the remainder when 559 is divided by 552? 7 Calculate the remainder when 18641 is divided by 1553. 5 What is the remainder when 145768 is divided by 226? 224 What is the remainder when 6170 is divided by 294? 290 Calculate the remainder when 25031 is divided by 18. 11 Calculate the remainder when 6316048 is divided by 395. 393 What is the remainder when 363592 is divided by 599? 598 What is the remainder when 589145 is divided by 447? 446 What is the remainder when 1794791 is divided by 1001? 999 Calculate the remainder when 7873 is divided by 140. 33 Calculate the remainder when 643207 is divided by 372. 19 Calculate the remainder when 1519 is divided by 146. 59 What is the remainder when 67544 is divided by 171? 170 Calculate the remainder when 11156 is divided by 88. 68 What is the remainder when 77954 is divided by 12980? 74 Calculate the remainder when 43453 is divided by 161. 144 Calculate the remainder when 11786 is divided by 311. 279 What is the remainder when 1706 is divided by 457? 335 Calculate the remainder when 65648 is divided by 21669. 641 Calculate the remainder when 59416 is divided by 1563. 22 Calculate the remainder when 1645 is divided by 129. 97 Calculate the remainder when 9742 is divided by 1203. 118 What is the remainder when 1675 is divided by 161? 65 Calculate the remainder when 43940 is divided by 745. 730 What is the remainder when 16865 is divided by 1542? 1445 Calculate the remainder when 48048 is divided by 563. 193 What is the remainder when 2519 is divided by 321? 272 Calculate the remainder when 2330 is divided by 2284. 46 What is the remainder when 236805 is divided by 13? 10 What is the remainder when 54614 is divided by 18202? 8 What is the remainder when 52167 is divided by 600? 567 Calculate the remainder when 317687 is divided by 154. 139 Calculate the remainder when 2575 is divided by 262. 217 What is the remainder when 84749 is divided by 15? 14 Calculate the remainder when 10791 is divided by 14. 11 Calculate the remainder when 14266 is divided by 142. 66 Calculate the remainder when 5483 is divided by 1817. 32 Calculate the remainder when 6371 is divided by 59. 58 What is the remainder when 2237 is divided by 674? 215 What is the remainder when 827031 is divided by 299? 296 Calculate the remainder when 4432 is divided by 1456. 64 Calculate the remainder when 6711 is divided by 326. 191 What is the remainder when 100838 is divided by 38? 24 Calculate the remainder when 66912 is divided by 815. 82 What is the remainder when 8100 is divided by 219? 216 Calculate the remainder when 1479 is divided by 303. 267 What is the remainder when 49523 is divided by 4502? 1 What is the remainder when 22605 is divided by 279? 6 Calculate the remainder when 3110 is divided by 626. 606 Calculate the remainder when 177665 is divided by 47. 5 What is the remainder when 8162 is divided by 1998? 170 What is the remainder when 2591 is divided by 52? 43 What is the remainder when 9143 is divided by 702? 17 Calculate the remainder when 841 is divided by 183. 109 Calculate the remainder when 10406 is divided by 390. 266 Calculate the remainder when 11101 is divided by 429. 376 Calculate the remainder when 10559 is divided by 2605. 139 What is the remainder when 2025356 is divided by 1044? 1040 Calculate the remainder when 789 is divided by 137. 104 What is the remainder when 157192 is divided by 78590? 12 Calculate the remainder when 5007 is divided by 334. 331 Calculate the remainder when 301476 is divided by 101. 92 Calculate the remainder when 4388 is divided by 51. 2 Calculate the remainder when 54929 is divided by 670. 659 Calculate the remainder when 1413746 is divided by 235623. 8 What is the remainder when 16608 is divided by 2765? 18 What is the remainder when 1578 is divided by 213? 87 Calculate the remainder when 14449 is divided by 52. 45 Calculate the remainder when 650 is divided by 490. 160 Calculate the remainder when 15557 is divided by 1117. 1036 Calculate the remainder when 2002906 is divided by 11. 4 Calculate the remainder when 31082 is divided by 216. 194 What is the remainder when 26573 is divided by 302? 299 Calculate the remainder when 16390 is divided by 3278. 0 Calculate the remainder when 4618 is divided by 55. 53 Calculate the remainder when 115698 is divided by 325. 323 Calculate the remainder when 984010 is divided by 229. 226 What is the remainder when 1221 is divided by 285? 81 Calculate the remainder when 2353588 is divided by 54. 52 Calculate the remainder when 1800 is divided by 31. 2 Calculate the remainder when 114860 is divided by 23. 21 What is the remainder when 366 is divided by 16? 14 Calculate the remainder when 4890 is divided by 96. 90 What is the remainder when 6685 is divided by 84? 49 What is the remainder when 3632 is divided by 1179? 95 Calculate the remainder when 35614 is divided by 146. 136 What is the remainder when 11552 is divided by 31? 20 Calculate the remainder when 25683 is divided by 68. 47 Calculate the remainder when 39645 is divided by 9542. 1477 Calculate the remainder when 18993 is divided by 905. 893 What is the remainder when 156518 is divided by 153? 152 Calculate the remainder when 15797 is divided by 672. 341 What is the remainder when 5960828 is divided by 413? 412 What is the remainder when 33789 is divided by 221? 197 What is the remainder when 64684 is divided by 311? 307 Calculate the remainder when 190328 is divided by 12. 8 What is the remainder when 8049 is divided by 1607? 14 What is the remainder when 3178 is divided by 956? 310 What is the remainder when 1482 is divided by 564? 354 What is the remainder when 53109 is divided by 48? 21 Calculate the remainder when 6844 is divided by 3422. 0 What is the remainder when 16728 is divided by 188? 184 Calculate the remainder when 21078 is divided by 386. 234 Calculate the remainder when 1232 is divided by 1057. 175 What is the remainder when 2018 is divided by 513? 479 What is the remainder when 6855 is divided by 855? 15 What is the remainder when 85618 is divided by 28? 22 Calculate the remainder when 973 is divided by 126. 91 What is the remainder when 680 is divided by 84? 8 Calculate the remainder when 5290 is divided by 380. 350 What is the remainder when 2234 is divided by 137? 42 What is the remainder when 188232 is divided by 94114? 4 What is the remainder when 20389 is divided by 300? 289 What is the remainder when 9046 is divided by 4523? 0 What is the remainder when 7809 is divided by 869? 857 Calculate the remainder when 6989 is divided by 219. 200 Calculate the remainder when 10711 is divided by 828. 775 What is the remainder when 14019 is divided by 5? 4 Calculate the remainder when 65395 is divided by 22. 11 Calculate the remainder when 5581 is divided by 27. 19 What is the remainder when 7798 is divided by 177? 10 What is the remainder when 300885 is divided by 703? 1 Calculate the remainder when 79214 is divided by 4. 2 What is the remainder when 174 is divided by 66? 42 Calculate the remainder when 3129 is divided by 519. 15 Calculate the remainder when 146703 is divided by 173. 172 What is the remainder when 544109 is divided by 943? 941 Calculate the remainder when 1671 is divided by 829. 13 What is the remainder when 286162 is divided by 1223? 1203 What is the remainder when 124011 is divided by 28? 27 What is the remainder when 178622 is divided by 2350? 22 What is the remainder when 322025 is divided by 134? 23 What is the remainder when 8762 is divided by 2845? 227 What is the remainder when 3232 is divided by 27? 19 What is the remainder when 1050558 is divided by 980? 978 What is the remainder when 26221 is divided by 8739? 4 Calculate the remainder when 308852 is divided by 9. 8 Calculate the remainder when 14898 is divided by 7425. 48 What is the remainder when 3639 is divided by 526? 483 Calculate the remainder when 37803 is divided by 95. 88 Calculate the r
{ "pile_set_name": "DM Mathematics" }
4*sqrt(11) + 3646 Simplify 2*(-1 + sqrt(304) + -2 + sqrt(304)*-2 + 0) + (4 + -6*sqrt(304)*-1)**2 + -4. 184*sqrt(19) + 10950 Simplify ((((sqrt(405) - (sqrt(405) + 5 + sqrt(405) + -1) - (sqrt(405) - (sqrt(405)*-2 + 3))) + 3)*-5 + 0)*-5)**2. -90000*sqrt(5) + 4052500 Simplify (-2 + (-4 + sqrt(304)*2)**2*1 + -3 + (sqrt(304) + 2)**2*6)*-1. -3075 - 32*sqrt(19) Simplify ((sqrt(896) - ((sqrt(896)*-2 + sqrt(896) + sqrt(896))*3 + sqrt(896)))*4)/((4*sqrt(80)*2)/((sqrt(120)/sqrt(4))/sqrt(3))). 0 Simplify ((sqrt(1920)*-3 - sqrt(1920))*-1)/(2*sqrt(486) - sqrt(486) - (sqrt(294) - (sqrt(294) - (sqrt(294)*2 + sqrt(294))))). -8*sqrt(5)/3 Simplify ((5*(sqrt(14)/sqrt(2) + 5))**2 + ((sqrt(70)*3)/sqrt(10) - (sqrt(7) + 5 + sqrt(7) + 2)))*-3. -2379 - 753*sqrt(7) Simplify 1*(2*sqrt(140) - (sqrt(560) - sqrt(35))*-4)/((sqrt(2160)*-3)/sqrt(12)). -8*sqrt(7)/9 Simplify -4 + sqrt(130)/(sqrt(30)/sqrt(3)) + ((sqrt(13) - sqrt(52)*-5)**2 - sqrt(13)) - ((1 + sqrt(13) + -3 - sqrt(117)/sqrt(36)) + -5). -sqrt(13)/2 + 1576 Simplify (6*((sqrt(192) + -1)**2 - sqrt(192))*-2 + 5 + (sqrt(300)*-2)**2*-5)*6. -49866 + 1728*sqrt(3) Simplify (-4 + (sqrt(1573) + sqrt(1573) + 4 + sqrt(1573) + 0 - (sqrt(1573) + -1 + 1 + sqrt(1573)) - ((-1*sqrt(1573) + sqrt(1573))*1 + -4)) + 4)**2. 176*sqrt(13) + 1637 Simplify -5*((sqrt(252) - (-1 + 1 + sqrt(252) + sqrt(252)))**2 - -3*(sqrt(252) + (sqrt(252) - -1*sqrt(252))**2 + sqrt(252))) + -4 + 2. -16382 - 180*sqrt(7) Simplify ((sqrt(18)/sqrt(2)*-2 - (sqrt(90)*1 + sqrt(90) - sqrt(90))/sqrt(10))/(2*sqrt(270)/(sqrt(10)*-1)))**2. 3/4 Simplify ((2*(sqrt(405) + 3 + sqrt(405) + -4 + sqrt(405)) - (sqrt(405) + sqrt(405)*-3 + 4)*-3) + -3)**2*-2. -98 Simplify 0 + ((6*(-3 + sqrt(1584)*-3) - (sqrt(1584)*-1 + 0)*6) + 1)**2. 4896*sqrt(11) + 228385 Simplify ((sqrt(605) + sqrt(605) + 4 + sqrt(605) - (0 + sqrt(40)/sqrt(8))) + ((sqrt(15) - 2*sqrt(15))*3)/(sqrt(33)/(sqrt(44)/sqrt(4))))**2. 232*sqrt(5) + 4221 Simplify (-5 + (-1*-5*sqrt(1452))**2 - (2*sqrt(1452) + 0)*2) + -4. -88*sqrt(3) + 36291 Simplify 3*(sqrt(475)*-3 + 0 + (sqrt(475) + 5 + 0 + sqrt(475))**2 - (-1 + (5 + ((sqrt(475)*-1 + sqrt(475))*-2 - sqrt(475)))**2)). 405*sqrt(19) + 4278 Simplify (-4*(sqrt(396) + -1 + -2)*3 - (5 + sqrt(396)*1 + 3)*-1)**2. -5808*sqrt(11) + 49852 Simplify (-1*sqrt(336)*2 + sqrt(336) - sqrt(336) - sqrt(336)*-2*-1)/((sqrt(175)*-1 - sqrt(175))*4 + (sqrt(175) - -1*sqrt(175)*1 - sqrt(175) - sqrt(175))). 2*sqrt(3)/5 Simplify (1 + (-3*-1*(sqrt(475) + 0))**2 + 3 + -2)*-6. -25662 Simplify ((-3 + sqrt(1088)*-1 - (sqrt(1088) - (2 + sqrt(1088) + -4)**2)) + (-5*(-1 + sqrt(1088)) + -3)**2)*3. -624*sqrt(17) + 84879 Simplify (-5 + ((sqrt(720)*1*2 - sqrt(720) - sqrt(720)) + -5 + -2 + sqrt(720) - (2*(-1 + sqrt(720) - sqrt(720)) + 5)))**2*5. -1800*sqrt(5) + 4725 Simplify (-1*(-1*sqrt(68)*2 + sqrt(68))*-1)/((sqrt(16) + -6*sqrt(144))/(sqrt(16)*6)). 12*sqrt(17)/17 Simplify (2*(-1*sqrt(250))/sqrt(2) - 3*-1*(0 + sqrt(405)))**2. 1445 Simplify -5*-6*(((sqrt(350) + -2*sqrt(350))*2)/(sqrt(343) + (sqrt(343) + (sqrt(343) - -2*sqrt(343)) + sqrt(343))*-2 - sqrt(343)))**2. 60/49 Simplify 0 + ((-4*3*sqrt(114)*-1*5)/((sqrt(42) + sqrt(336)/sqrt(8))/sqrt(7) - 2*sqrt(864)))**2. 17100/121 Simplify (-4*(3 + 5*-2*(sqrt(156)/sqrt(3) + sqrt(117)*6)))**2. -19200*sqrt(13) + 8320144 Simplify ((sqrt(4752)*6 - sqrt(4752)) + (sqrt(2112) - (4*sqrt(2112) + sqrt(2112))) + sqrt(2112))/(6*sqrt(3)*5 - sqrt(192)*4). -18*sqrt(11) Simplify ((2*(sqrt(384) - (sqrt(384) + -6*3*sqrt(384) + sqrt(384))))/(-6*sqrt(75) - sqrt(3) - (sqrt(108) - (-2*sqrt(108) + sqrt(108)))))**2. 147968/1849 Simplify 5*((sqrt(49)*-3)/sqrt(7) - (sqrt(28)/sqrt(4) + -4)**2)*-4 + -2 + -4. -100*sqrt(7) + 454 Simplify -6*(-5 + 5 + -1 + sqrt(2448)*-1 + 4 + 5)*6. -288 + 432*sqrt(17) Simplify (sqrt(96)/(sqrt(12)*-4) + (sqrt(8) - sqrt(96)/(2*sqrt(12))))/((sqrt(196) + -2*sqrt(196)*-4 - sqrt(196))*-5). -sqrt(2)/1120 Simplify (sqrt(9072)*-1 - sqrt(693)/(2*sqrt(11)))/((sqrt(36) - (sqrt(576) - sqrt(576)*-1))/(sqrt(4) - 6*sqrt(16))). -275*sqrt(7)/14 Simplify (sqrt(264)/((sqrt(64) - 5*sqrt(64))/sqrt(8)))/(-4*((sqrt(147)*5 - sqrt(147) - sqrt(147)) + sqrt(147))). sqrt(11)/448 Simplify ((sqrt(240) - (-6*(sqrt(240)*1 - sqrt(240)) - sqrt(240)))/(sqrt(490)*-3 + sqrt(490)))/(-3*(2*(1*sqrt(972) - sqrt(972)) - sqrt(972))*-3). sqrt(2)/567 Simplify (3 + sqrt(405) + -1 + 3 - (-4 + (sqrt(405)*-2*5)**2))*-2*-1. -80982 + 18*sqrt(5) Simplify (-3 + (sqrt(1539) + 0)*5*3 - 6*-3*(-1 + -1 + sqrt(1539)))**2*-6. -10064952 + 138996*sqrt(19) Simplify 6*((-5*(1 + sqrt(2)) + sqrt(2) + sqrt(384)/sqrt(12) + (sqrt(18) + 2 - (4 + sqrt(72))))*-5)**2 + -1. 6300*sqrt(2) + 10049 Simplify ((-3 + (sqrt(1300) + (5 + sqrt(1300) + 0 - sqrt(1300)))*-2 + -1)*3)**2. 5040*sqrt(13) + 48564 Simplify -3*(sqrt(462)/sqrt(275))/(-4*sqrt(24)/sqrt(4))*-4. -3*sqrt(7)/5 Simplify -2 + (-5*(6*sqrt(864) - sqrt(24))/((sqrt(96) - sqrt(96)*-3)/sqrt(8)))**2. 30609/8 Simplify -5 + ((1*2*sqrt(200))**2 - (0 + (-2 + sqrt(200) + sqrt(200))**2) - ((sqrt(200) + 1*sqrt(200))*-4 + -2*(sqrt(200) + -1 + sqrt(200)))). -11 + 200*sqrt(2) Simplify 5 + ((-4*sqrt(68) + 2)*3*2*1)**2. -1152*sqrt(17) + 39317 Simplify ((sqrt(504) + (sqrt(504) - (sqrt(504) - -6*sqrt(504)*-2)))/((sqrt(63) - sqrt(63)*1)/sqrt(9) - 2*sqrt(112)))**2. 1521/8 Simplify ((4 + -5*5*sqrt(1216) + sqrt(1216)*4*-6)*-3)**2. -28224*sqrt(19) + 26276688 Simplify -1*-3*(-5*(sqrt(204) + (sqrt(204) + sqrt(204) + -2*sqrt(204))*-1 - sqrt(204) - sqrt(204) - sqrt(204) - sqrt(204)))/(sqrt(108)*1*6). 5*sqrt(17)/2 Simplify (sqrt(98)*2 + 2 + sqrt(98))**2 + ((-1 + sqrt(98))*-1)**2 + (4 + (1 + sqrt(98))**2 - (-5 + 0 + sqrt(98))**2). 154*sqrt(2) + 965 Simplify -5 + ((0 + sqrt(847))*-5 - ((1 + sqrt(847) + sqrt(847))*-6)**2) + (sqrt(847) + (sqrt(847)*-2)**2 + -3 - sqrt(847))*-6 + 1. -142318 - 1639*sqrt(7) Simplify -4 + ((sqrt(12) + sqrt(972) + 0 + sqrt(972))*-4 + (sqrt(1728)*1 - sqrt(1728)) + 2)**2. -608*sqrt(3) + 69312 Simplify 3 + 3 + 1 + 1*sqrt(200) + -6*((0 + sqrt(200))*1)**2 + 0. -1193 + 10*sqrt(2) Simplify (sqrt(78) - (sqrt(78) + (sqrt(78) - 2*(-2*sqrt(78) - sqrt(78)))))/((sqrt(96)/sqrt(2))/sqrt(8)) - (4*-2*2*sqrt(65)/sqrt(5))**2. -3328 - 7*sqrt(13) Simplify ((sqrt(119) + -1*-2*sqrt(119))/(sqrt(49)/(sqrt(42)/sqrt(6))) + 2*sqrt(1088)*2 + -4 + 0)**2. -280*sqrt(17) + 20841 Simplify -6*(-2*sqrt(5200))**2*-2 - (-1*sqrt(6292) + 5 - (sqrt(6292) + 4*(1 + sqrt(6292))))**2. 264*sqrt(13) + 23087 Simplify -5*(-1*(sqrt(637) + sqrt(637) + 0 + sqrt(637) + -1 + sqrt(637) + sqrt(637) - (2*sqrt(637) + 1)))**2*-3*-6. -516330 + 7560*sqrt(13) Simplify (6*5*(sqrt(19) + sqrt(475)*2) - (sqrt(1216) + 1 + 5)*3)**2. -11016*sqrt(19) + 1779408 Simplify (2*sqrt(209)*-5 - (sqrt(209)*6 - sqrt(209))*-6)/(sqrt(792)/sqrt(2) - sqrt(66)/(sqrt(48)/sqrt(8))). 4*sqrt(19) Simplify (1*sqrt(343) + 0 - (2 + 5*-1*sqrt(7))) + 1*sqrt(56)/(sqrt(24)/sqrt(3)) + (sqrt(7) - sqrt(448)/sqrt(4) - sqrt(7) - (sqrt(63)*-2)/sqrt(9)). -2 + 11*sqrt(7) Simplify 2 + 6*(-5 + -4 + (sqrt(735)/sqrt(3) - (sqrt(720) + 0)) + -1)**2. 600*sqrt(5) + 1352 Simplify (5*(sqrt(190) + sqrt(190)*2) + -3*-2*sqrt(190) + sqrt(190))/(6*sqrt(640)*-6). -11*sqrt(19)/144 Simplify 1*(sqrt(11) + -2 + 5 + sqrt(11) - (2 + sqrt(44))) + -1*(-3 + sqrt(891) + 0)**2. -899 + 54*sqrt(11) Simplify sqrt(1008) + 1 + sqrt(1008) + -4 + (1 + sqrt(1008))*2 - -5*(-2 + (sqrt(1008)*1 - sqrt(1008)))**2*5. 99 + 48*sqrt(7) Simplify (-3*4*((sqrt(120) - (sqrt(120) + 2*sqrt(120)))/sqrt(5))/(sqrt(120)/(sqrt(30)/sqrt(3))) + -2 + 4)*-4. -96*sqrt(2) - 8 Simplify -2 + ((1 + sqrt(1377) + 1 + sqrt(1377) + sqrt(1377))**2*-3 - (1 + sqrt(1377)*1)*6). -37199 - 378*sqrt(17) Simplify -1*((sqrt(2592) - (-3 + sqrt(2592)*-2) - sqrt(2592))**2 + sqrt(2592)) + -3*((sqrt(18) - (sqrt(450)*2)**2) + -3). -4968 - 477*sqrt(2) Simplify (-5*sqrt(156)*-3 + (sqrt(156) - 4*sqrt(156)*4) + sqrt(156) + sqrt(156))/(4*(1*(sqrt(108) - -2*sqrt(108)) - sqrt(108))/sqrt(9)). sqrt(13)/4 Simplify ((-4*sqrt(108)*-6*-4 + 3)*-3 + 1)**2. -27648*sqrt(3) + 8958016 Simplify (4*(sqrt(1377) + (sqrt(1377) - (sqrt(1377) + 2 + -1 + sqrt(1377)))) - (sqrt(272) + 1 + 2 + 0)) + -3. -4*sqrt(17) - 10 Simplify 1*((((sqrt(832) - 4*sqrt(832)) + sqrt(832))*-2)/((sqrt(4) - (sqrt(24)/(sqrt(24)/sqrt(4)) - sqrt(4))) + sqrt(40)/(sqrt(10)*-2)) + 4)**2. 256*sqrt(13) + 13328 Simplify ((4*(sqrt(136) +
{ "pile_set_name": "DM Mathematics" }
ultiple of 19408 and 77632? 77632 Calculate the common denominator of 97/12138 and -131/3468. 24276 What is the common denominator of 53/7602 and -50/5973? 83622 What is the lowest common multiple of 81558 and 507472? 4567248 Calculate the common denominator of 35/95798 and -77/60504. 1149576 What is the smallest common multiple of 171 and 214158? 12207006 What is the lowest common multiple of 1086 and 1032? 186792 Calculate the lowest common multiple of 1139465 and 5. 1139465 What is the common denominator of -7/72 and -89/23672? 213048 Find the common denominator of 51/1973 and -75/4. 7892 What is the smallest common multiple of 10 and 2604135? 5208270 What is the smallest common multiple of 410 and 63415? 5200030 What is the lowest common multiple of 19817 and 63? 178353 Calculate the smallest common multiple of 4 and 16672. 16672 What is the smallest common multiple of 3729 and 124413? 1368543 Calculate the smallest common multiple of 53256 and 728. 692328 Calculate the least common multiple of 114456 and 429210. 1716840 Calculate the least common multiple of 6084 and 16224. 48672 Calculate the smallest common multiple of 3654 and 6. 3654 What is the least common multiple of 671328 and 217728? 8055936 What is the common denominator of 101/754425 and 71/1437000? 30177000 Calculate the common denominator of 37/87969 and -34/49. 615783 Calculate the least common multiple of 9140 and 32904. 164520 What is the least common multiple of 31926 and 3756? 63852 Calculate the lowest common multiple of 486764 and 24. 2920584 Calculate the smallest common multiple of 51212 and 708. 153636 Calculate the common denominator of -64/5865 and -82/294285. 5002845 What is the least common multiple of 18 and 1274? 11466 Calculate the smallest common multiple of 2603 and 1507. 28633 Calculate the common denominator of -89/19840 and 99/1984. 19840 Find the common denominator of 47/2048 and -37/3584. 14336 Calculate the common denominator of -33/30200 and 49/40. 30200 What is the lowest common multiple of 2632 and 12? 7896 What is the common denominator of -71/33534 and 3/115? 167670 Find the common denominator of 35/303668 and -35/8. 607336 What is the common denominator of -64/15 and 17/6444? 32220 Calculate the lowest common multiple of 48 and 8544. 8544 Calculate the smallest common multiple of 19996 and 200. 999800 What is the common denominator of 67/50700 and 199/780? 50700 Find the common denominator of -49/1968 and -5/512336. 1537008 Find the common denominator of -43/93718 and 31/22. 1030898 What is the common denominator of -19/66968 and -53/76? 1272392 Find the common denominator of -23/23504 and 62/65. 117520 What is the smallest common multiple of 10686 and 11505? 3152370 Calculate the smallest common multiple of 6270 and 6270. 6270 What is the lowest common multiple of 48864 and 6108? 48864 Find the common denominator of 73/16434 and 27/14. 115038 What is the least common multiple of 2504 and 12296? 3848648 Find the common denominator of 73/7998 and 7/4. 15996 Calculate the common denominator of -11/12951 and -70/81. 116559 Find the common denominator of -52/30709 and -121/7490. 307090 Find the common denominator of 40/67 and -85/255538. 255538 Find the common denominator of 47/2889 and -13/3531. 31779 Calculate the lowest common multiple of 51170 and 7. 51170 What is the common denominator of -125/25326 and 109/18? 25326 Calculate the least common multiple of 12 and 12802. 76812 What is the common denominator of 55/13293 and 157/504? 106344 What is the lowest common multiple of 54 and 13050? 39150 Calculate the common denominator of 55/32 and 77/99840. 99840 What is the least common multiple of 33 and 23853? 262383 Calculate the least common multiple of 846 and 47. 846 Calculate the common denominator of -59/60 and 9/75290. 451740 What is the least common multiple of 44512 and 1144? 489632 Calculate the common denominator of -29/130 and 53/45812. 229060 Calculate the lowest common multiple of 10 and 14316. 71580 Calculate the smallest common multiple of 7 and 6109. 42763 Calculate the least common multiple of 16065 and 30. 32130 Calculate the least common multiple of 813 and 26151. 7086921 Calculate the common denominator of 67/133824 and 7/8160. 669120 What is the common denominator of 75/88 and -103/2406592? 26472512 What is the common denominator of 55/28208 and -139/1476? 253872 What is the lowest common multiple of 236720 and 64? 946880 What is the smallest common multiple of 337216 and 704? 337216 What is the lowest common multiple of 48 and 222? 1776 Find the common denominator of 53/4304 and -45/88. 47344 What is the smallest common multiple of 156 and 42? 1092 What is the least common multiple of 176544 and 192? 353088 Calculate the least common multiple of 25779 and 10. 257790 Calculate the common denominator of -103/1220600 and -23/3400. 1220600 What is the common denominator of -7/465 and -11/2150? 199950 Calculate the common denominator of -51/14 and -85/69208. 484456 Calculate the common denominator of 53/260 and -69/200620. 2608060 Find the common denominator of -89/596310 and -97/975. 2981550 What is the lowest common multiple of 160424 and 102088? 1122968 What is the least common multiple of 19019 and 1001? 19019 What is the common denominator of 73/15792 and 67/55272? 110544 Find the common denominator of -3/8 and 101/1504. 1504 What is the common denominator of -21/40550 and -79/498765? 4987650 Calculate the least common multiple of 481 and 15873. 15873 Calculate the lowest common multiple of 449696 and 604279. 19336928 What is the lowest common multiple of 6 and 1619640? 1619640 Find the common denominator of -14/207105 and -103/450. 6213150 Calculate the common denominator of 23/28050 and -68/1925. 196350 Calculate the lowest common multiple of 1010 and 1070. 108070 Calculate the smallest common multiple of 48 and 14004. 56016 What is the common denominator of 11/9419 and -49/134? 1262146 What is the common denominator of 25/3636 and 149/606? 3636 Calculate the smallest common multiple of 165564 and 42048. 2649024 Calculate the common denominator of 43/24165 and 4/405. 72495 Calculate the common denominator of 89/85030 and -111/17006. 85030 Calculate the lowest common multiple of 3224106 and 666. 3224106 Calculate the common denominator of 57/4550 and 31/132405. 1324050 Find the common denominator of -49/36 and 3/159188. 1432692 What is the common denominator of 43/39 and -121/8904? 115752 What is the smallest common multiple of 3915372 and 18? 11746116 What is the smallest common multiple of 666 and 1228844? 11059596 Find the common denominator of 127/14388 and 149/2616. 28776 What is the common denominator of 149/996 and -31/288? 23904 Calculate the least common multiple of 270999 and 27. 270999 What is the common denominator of -59/3545 and 29/40? 28360 Calculate the common denominator of 139/312 and -73/9000. 117000 What is the common denominator of 45/133 and 26/27607? 193249 What is the common denominator of 73/8 and 55/14688? 14688 Calculate the smallest common multiple of 376783 and 171265. 1883915 Find the common denominator of 197/1050 and -141/18830. 282450 Calculate the common denominator of -37/6198 and -113/2574. 2658942 Calculate the smallest common multiple of 408732 and 18. 1226196 What is the smallest common multiple of 9120 and 21888? 109440 Calculate the common denominator of -83/672 and 133/79680. 557760 Calculate the common denominator of 13/107253 and -74/23133. 1179783 Calculate the smallest common multiple of 36 and 19120. 172080 Find the common denominator of -39/18008 and 29/316. 1422632 What is the smallest common multiple of 250137 and 111172? 1000548 Calculate the common denominator of -83/383180 and -13/80. 1532720 Find the common denominator of -55/819836 and 37/246. 2459508 Calculate the common denominator of 117/160 and 99/15320. 61280 What is the lowest common multiple of 14434 and 700? 721700 What is the smallest common multiple of 84 and 11406? 159684 Find the common denominator of 11/7217 and 117/770. 793870 What is the common denominator of -43/2961368 and 89/2? 2961368 What is the lowest common multiple of 51456 and 6968? 668928 What is the common denominator of -15/458 and 85/28? 64
{ "pile_set_name": "DM Mathematics" }
Let v = -2893 - -2891. Which is smaller: v or 18.75? v Let f = -214.07 + 216. Let o = -0.13 + f. Let u = 1.9 - o. Which is smaller: u or -2/9? -2/9 Suppose -x + 3367 = 5*p, 53*p - 47*p = -3*x + 4017. Let i(l) = -l + 677. Let j be i(0). Is p at most j? True Let z be (-159)/(-583) + 366/(-11). Suppose -2*o = -42 - 70. Let q = 24 - o. Which is greater: q or z? q Let q = -9.05 + -1228.45. Are q and -2 non-equal? True Suppose 0 = -5*g - 4*n + 25, 4*n - 21 = -3*g + 2. Which is greater: g or 26/45? g Let i be (-17522)/(-6) + (-9)/(-3). Let q = i + -2998. Which is greater: q or -75? q Let x(r) = 5*r - 3. Let o be x(-3). Suppose -31 = 3*l + 17. Let f = -15 - l. Which is smaller: o or f? o Let r = 8232 + -8232.1. Let j(h) = 35*h - 3. Let g be j(2). Is g < r? False Let w = 24 - -12. Let y = 427 - 390. Which is bigger: y or w? y Let o = 13399.1 - 13399. Is 793 equal to o? False Let r be (44/40)/11 - 17/510. Let h = 2 + -4. Let f be (-6)/4*h/(-3). Which is greater: r or f? r Let v = -11.1 - -11.1. Let m = -372 + 371.88. Are m and v equal? False Let j(d) = -4*d**2 + 62*d - 500. Let l be j(8). Which is smaller: -259 or l? l Let s = -2 - -2.05. Let h = -41089 - -41074. Which is smaller: s or h? h Let d = -8 + 8. Let x = -27564.059 + 27584. Let l = x + 0.059. Which is smaller: l or d? d Let n be 21/(-27) - (0 + -1). Let f = -112 - -112. Suppose f = 16*v + 56 + 24. Which is bigger: n or v? n Suppose 0 = -8*a - 1 + 25. Suppose 4*s + 13 = m, -5*s - 37 = -a*m + 37. Which is greater: 28 or m? m Suppose -4 = -3*r + b, 2*r - 318*b = -319*b - 4. Is -37/53 less than or equal to r? True Suppose 0 = 59*f + 45 + 132. Which is smaller: -29/16 or f? f Let z(n) = 4*n + 113. Let t be z(-28). Let a be 3 + -6 + -30 - t. Which is smaller: a or -3? a Let j = -146 - -114. Which is bigger: j or 3/22? 3/22 Let a(r) = -r**3 - 9*r**2 - r - 2. Let n be a(-9). Suppose 7*s = -7 + n. Let m = 16721/25 + -669. Is s at least m? True Suppose -3*b + 5*b = 4. Suppose -z - 62 = -5*w - 16, 2*w + b*z = 16. Suppose -m + y - w = 0, 5*m = -y - 3*y - 81. Is m bigger than -12? False Let s = 107 - 399. Let f = s - -103. Is 0.1 less than or equal to f? False Let o(d) = -d**3 + 21*d**2 - 19*d - 19. Suppose 2*s - 90 = -5*t, 2*t - 23 + 8 = -5*s. Let x be o(t). Let f be (1 - 14)/(x*(1 + -2)). Which is greater: 15 or f? 15 Let o be (-8)/((24 - 8)/8) - 22836/(-5790). Does o = 0? False Suppose -570 = 6*q + 186. Let y be (-2 - -3)*(-27)/q*-2. Is y at least as big as -0.03? False Let n be 3 + (-97)/33 + 2015812/1518. Which is bigger: n or 1329? 1329 Let j = 96.9 + -97. Let t = -0.27 + 0.26. Let c = t + -3.29. Is j greater than or equal to c? True Suppose 5*r = r + 16. Suppose 3*o = o + r. Suppose 5*g - o*n + 15 = 0, 5*g + n + n - 5 = 0. Is 1/10 less than or equal to g? False Let l be (-14)/(-10) + (-840)/40*4/35. Let r = 412 + -30075/73. Which is smaller: l or r? l Let v = 34673/6 - 5762. Suppose 4*c - 26 = a + 41, a = -2*c + 29. Which is greater: c or v? v Let b = 8372 + -8665. Which is bigger: b or -0.48? -0.48 Let p(q) be the third derivative of -q**4/8 - 7*q**3/2 + q**2 - 12*q. Let a be p(-8). Are a and -0.5 nonequal? True Let r = 0.03 + -0.063. Let z = r - -0.141. Let m = z - 0.008. Is 19 at least m? True Let r = -8 - -42. Let k(d) = 12*d - 149. Let v(t) = 3*t - 37. Let q(y) = 2*k(y) - 9*v(y). Let x be q(0). Is x smaller than r? False Suppose -t + 4183 = -3*q, 3*t = 25*q - 29*q - 5599. Which is greater: q or -5579/4? -5579/4 Let y = 22 - -22. Let o = 49.9 - y. Let b = -1.9 + o. Which is greater: b or -2? b Let w be 2/(16/9822) - 1 - (-198)/(-264). Which is bigger: 1224 or w? w Let w(f) = -f**3 - f**2 + 2*f + 4. Suppose -4 = -30*s + 32*s. Let m be w(s). Suppose -n - 34 = 3*v, 0*v - m*n = -5*v - 85. Which is bigger: -14 or v? v Let n be (150/(-210)*7)/(2033/2). Which is bigger: -1 or n? n Suppose 3*t + 1037 = 4*j - 498, -2*j - t + 755 = 0. Is j less than 376? False Let v(j) = -j**2 + 2*j + 1. Let t be v(2). Let k = 53971/2070 - 469/18. Which is smaller: t or k? k Let t(s) = -s**2 - 49*s + 1753. Let h be t(-73). Which is greater: h or -2/4247? h Let z = 20666/581 - 250/7. Which is smaller: 0 or z? z Let b = 28919 - 4019780/139. Are b and -1 non-equal? True Let a(x) = -2*x**3 + 73*x**2 + 71*x + 207. Let b be a(38). Is -1427 at least as big as b? True Suppose -3*l + 8 = -5*v, -3*l - 48*v = -54*v - 9. Is 1/166 < l? True Let s(q) = 7*q - 3. Let c be s(-13). Let l(k) = 25*k**2 - k - 10. Let w be l(-2). Let h = w + c. Which is smaller: h or 3/4? h Let v = 764.7 - 771.7. Suppose -194 = -5*u - 4*h, -4*h + 23 = 3*u - 87. Which is greater: v or u? u Let c = -0.1083 + 0.0083. Which is smaller: c or -8.64? -8.64 Let m be 168/12*(30/(-35) - 2). Is m greater than -26/9? False Let k = 135.6 - 135. Let v = 0.12 + -2.22. Is k less than v? False Let y = 352107.1 + -352107. Let m = -56.385 + -0.415. Let s = -51 - m. Which is bigger: s or y? s Let h be (-14 + 13)/((-3)/318). Is 110 equal to h? False Let s = 10338 + -10368. Let y = -2627222/84447 + -2/9383. Which is greater: s or y? s Let i = -1389 + 1388. Which is smaller: i or -10.06? -10.06 Suppose 11*q = 8*q + 3*l + 102, 0 = -3*l + 3. Is 168/5 bigger than q? False Let x(k) = -19*k**3 + 8*k**2 + 33*k - 45. Let a(u) = 10*u**3 - 4*u**2 - 18*u + 22. Let w(y) = -7*a(y) - 4*x(y). Let o be w(3). Do o and 137 have the same value? False Let v(l) = 70*l - 32. Let o be v(1). Suppose 5*y = 272 + o. Is y smaller than 62? False Let n = -2698.1 - -2698. Which is bigger: n or -955? n Let t = -746 - -679. Which is greater: -51 or t? -51 Suppose 4*s - 3*z = z + 12, 2*s + 3*z - 6 = 0. Suppose 12 = -4*k - s*u, -k - 4*u = u + 20. Suppose 9*o - 13*o = k. Is 2 less than o? False Let d = -32.021 + 0.021. Let l = -7.7 + -11.3. Let z = l - d. Which is smaller: z or -1? -1 Let k be (-11)/4 - 813*20/(-18480). Which is bigger: k or -2? k Let p be -818 + 0 + -1 + 3. Let j be (-364)/455*8214/(-8). Let t = p + j. Is 4 >= t? False Let c = -19303 + 19302. Which is smaller: -174/23 or c? -174/23 Let a = 473843 + -210859977/445. Let t = a + 4/89. Is t less than 0.09? False Let c(v) = 3*v**2 + 14*v - 92. Let j(q) = -q**2 + 1. Let g(r) = c(r) + 4*j(r). Let p be g(6). Do p and -40 have the same value? True Suppose 9792 = -52*y + 32*y - 14*y. Is y smaller than -290? False Let m be 14/(-6) + 3 + -17*11/(-561). Which is smaller: -0.03257 or m? -0.03257 Let p be (-11480)/192 - 32/24. Which is bigger: p or -62? p Let i be 504/(-84) + (-1758)/(-292). Which is greater: i or -1.2? i Let w = 540.3 + -541.3. Which is smaller: w or -218? -218 Suppose 5*a - 131 = 4*n, 0 = -2*n - 2*n + 3*a - 125. Let r = n - -26. Let v be r*(4 - (-20)/(-27)). Is -9 at most as big as v? False Let b be (-48)/(-20) - 1115452/463980. Does b = -1? False Let x = -245505 + 1715185/7. Let c be -25 - -26 - (-1*1 + -478). Let m = c + x. Is 1 greater than m? False Let w = -17086 - -68343/4. Is -0.035 not equal to w? True Let j(b) = -337*b - 9774. Let i be j(-29). Which is smaller: i or 712? i Let l be (-1)/16*6 - (-2322)/48. Is 142/3 not equal to l? True Let y = -59.43 - -59.653. Suppose 0 = 5*c - 4*c. Is c != y? True Suppose -5*h + 56 = -4*h. Suppose -7*y + h = -21. Is 12 <= y? False Let g be (-1)/(21/2) + (-156)/(-1638). Which is bigger: g or -1/25? g Let d be 24/16 + 33418/16. Let h = d - 2093. Is -4 at most h? True Let c be ((-39)/26)/(87/(-4)). Let y = -167 + 76. Let j = y + 88. Is j < c? True Let s(b) = 13*b**3 - 9*b**2 + 25*b + 21. Let v(d) = -7*d**3 + 5*d**2 - 13*d - 11. Let o(f) = 6*s(f) + 11*v(f). Let q be o(-1). Which is smaller: -5/3 or q? q Let y = -31412 - -31412. Which is bigger: y or -1/17911? y Let q = 0.058 + -60.058. Let f = q + 39. Let i = f + 26. Are i and 0.08 equal? False Let h be 1*-1 - 4*426/120. Let p(w) = -4*w + 16. Let l(n) = -n**3 - 9*n**2 + 9*n - 2. Let c be l(-10). Let o be p(c). Are o and h nonequal? True Suppose -9 = 2*n - 3. Let c be 3056/(-24)*(n - (-3)/2). Is 1/3 smaller than c? True Let j be (2380/(-26418))/((-15)/63). Let h = 2 + -2. Is h less than j? True Suppose 390*p - 6090 = 404*p. Let u = 883 - 1318. Is p > u? False Let d(u) = 12*u**3 + 45*u**2 - 163*u + 14. Let l be d(4). Is 856 != l? True Let t = 1/126768 - -757001/457252176. Is t greater than or equal to 0? True Suppose 5*f + 4*k = -3351, -6*f + 5*f = 3*k
{ "pile_set_name": "DM Mathematics" }
(q) = -105*q**2 + 20. Let s be -11*(-3)/22*(6 - 4). Let x(l) = -15*l**2 + 3. Calculate s*a(d) - 20*x(d). -15*d**2 Let h = 133 + -30. Let q = h - 100. Let s(f) = -3*f**3 + 3. Let u(m) = 6*m**3 - 5. Calculate q*u(d) + 5*s(d). 3*d**3 Let g(p) = -72*p**2 + 2*p + 3. Let j(d) = 146*d**2 - 6*d - 7. Determine -5*g(n) - 2*j(n). 68*n**2 + 2*n - 1 Let a be (-3)/2*(-32)/24. Let f(u) = -5*u + 2*u**2 - 26 + 25 + 4*u**a + 0*u**2. Let r(y) = -5*y**2 + 4*y + 1. Give -6*f(b) - 7*r(b). -b**2 + 2*b - 1 Let s(o) be the third derivative of -o**6/120 - 7*o**5/60 + o**3/6 - 51*o**2. Let g(n) = n**2. Give -6*g(i) - s(i). i**3 + i**2 - 1 Let s(j) = 5*j**3 - 33*j**2 + 5*j + 7. Let u(w) = -2*w**3 + 15*w**2 - 3*w - 3. What is 3*s(b) + 7*u(b)? b**3 + 6*b**2 - 6*b Let a(v) = -12*v**2 - 5*v + 7. Let s(n) = 6*n**2 + 3*n - 3. Determine 3*a(r) + 5*s(r). -6*r**2 + 6 Let d(j) = j**2 - 3*j. Let v(p) = 6*p**2 - 11*p + 3. What is -4*d(f) + v(f)? 2*f**2 + f + 3 Let v(a) = 0*a**2 + 6*a**2 - 153*a + 146*a + 5 - 4*a**2 + 3*a**2. Let z(y) = 6*y**2 - 8*y + 6. Calculate 5*v(w) - 4*z(w). w**2 - 3*w + 1 Let t(n) = 7*n**2 - 3*n + 3. Let o(j) = 12*j**2 - 5*j + 5. What is 3*o(a) - 5*t(a)? a**2 Suppose 29*v = 13*v + 224. Let l(o) = -80*o. Let s(u) = -16*u. What is v*s(w) - 3*l(w)? 16*w Let r(n) = -3*n - 1. Let j(p) = -28*p + 1. Calculate j(l) - 5*r(l). -13*l + 6 Let b(s) = 4*s + 1. Let a(z) = z**2 + 16*z - 7. What is -a(w) + 4*b(w)? -w**2 + 11 Let x(v) = -9*v**3 + v**2 + 0*v + 2*v + 12*v**3 + 2. Let d(q) = 4*q**3 + 2*q**2 + 3*q + 2. Let m = -4 - -4. Suppose m = -4*o - 3 + 11. Give o*d(b) - 3*x(b). -b**3 + b**2 - 2 Let p be (-2541)/(-6) - 5/10. Suppose -4*s - p + 127 = 0. Let b = 52 + s. Let c(x) = -5*x + 11. Let j(l) = -l + 2. What is b*j(t) + 4*c(t)? 2*t Let z(o) = 689*o - 212. Let j(v) = -2*v + 2. Determine 106*j(d) + z(d). 477*d Let u(k) = 9*k**2 + 9*k + 4. Suppose -10 = -2*y - y - 5*p, y + 2*p - 3 = 0. Let t(z) = 14*z**2 + 14*z + 6. Let c be (48/20)/((-3)/10). Give c*u(v) + y*t(v). -2*v**2 - 2*v - 2 Let g(d) = -80*d**3 + 6*d**2 + 3*d + 6. Let f(u) = -u**3 + u**2 + u + 1. Calculate -6*f(h) + g(h). -74*h**3 - 3*h Let w(x) = 3*x**3 - x**2 + 6*x - 8. Let g be w(2). Let a be 5/(70/g) + 2/7. Let l(j) = 3*j**2 + 2. Let t(v) = 15*v**2 + v + 11. Give a*t(u) - 11*l(u). -3*u**2 + 2*u Let v(k) be the first derivative of 2 - 6*k + 0*k**2 + 3/2*k**4 + 0*k**3. Let l(o) = 5*o**3 - 5. Let i be -2 + (-1)/((-1)/(-2)). What is i*v(p) + 5*l(p)? p**3 - 1 Let k(l) = 14*l - 9. Let h(x) = 41*x - 27. Give 6*h(g) - 17*k(g). 8*g - 9 Suppose -3*g - 51 = -3*f, 0*f - 2*f - 51 = 3*g. Let n(c) = -7*c + 1. Let d(t) = -20*t + 3. Let a be 3*(-4)/9*(-9)/2. Calculate a*d(s) + g*n(s). -s + 1 Let n(g) = 23*g**2 + 9*g + 15. Let p(m) = -3. Let s(w) = n(w) + 5*p(w). Let h(r) = -11*r**2 - 4*r. Calculate -9*h(j) - 4*s(j). 7*j**2 Let n(d) be the first derivative of -d**2/2 + d + 31. Let u(j) = -j**2 - 1. Let v(t) = t**2 - 6*t + 8. Let q(y) = 2*u(y) + v(y). Determine 5*n(r) - q(r). r**2 + r - 1 Let a be 6*8/(-168) - (-32)/14. Let g(t) = 493*t - a*t**2 - 242*t - 1 - 246*t. Let i(v) = -6*v**2 + 14*v - 2. Calculate 11*g(y) - 4*i(y). 2*y**2 - y - 3 Let k(u) = -2*u**3 - 9*u**2 + 3*u. Let d(l) = 2*l**3 + 10*l**2 - 4*l. Determine -2*d(n) - 3*k(n). 2*n**3 + 7*n**2 - n Let p(g) be the second derivative of -4*g**3/3 + 17*g**2/2 - 123*g. Let h(x) = 3*x - 6. Give -11*h(r) - 4*p(r). -r - 2 Let i(v) = -14*v + 7. Let u(c) be the first derivative of 9*c**2/2 - 5*c - 170. Determine -5*i(l) - 8*u(l). -2*l + 5 Let k(f) = 12*f**2 + 3*f - 3. Let x(n) = -11*n**2 + 3*n - 8. Let a(c) = c - 2. Let q(m) = 5*a(m) - x(m). Calculate -2*k(s) + 3*q(s). 9*s**2 Let h(g) = 57*g**2 - 120*g**2 + 4 + 61*g**2 - g. Let n(r) = -3*r**2 - 2*r + 7. Calculate 7*h(j) - 4*n(j). -2*j**2 + j Let p(t) = t - 1. Let q(s) = 4*s**2 + 11*s - 18. What is -22*p(b) + 2*q(b)? 8*b**2 - 14 Let a be (-1)/((25/(-5))/25). Let t(f) = -2*f + a + 1 - 32*f**3 - 4 + 31*f**3. Let i(l) = -l**3 + 1. Calculate -2*i(w) + t(w). w**3 - 2*w Let c(j) = -3*j**2 + j - 14. Let l(v) = 3*v**2 - 2*v + 15. What is 6*c(k) + 4*l(k)? -6*k**2 - 2*k - 24 Let p(r) = -22*r + 84. Let l be p(4). Let m(z) = -z + 1. Let d(s) = -2*s**2 + 4*s - 2. Determine l*m(x) - d(x). 2*x**2 - 2 Let q(i) = 7*i**2 - 3*i + 6. Let f(j) = -j**2 - 1. Let d(z) = -z**3 - 10*z**2 + 17*z + 65. Let g be d(-11). Determine g*q(s) - 5*f(s). -2*s**2 + 3*s - 1 Let y(f) = -738*f**3 - 24*f - 8. Let j(h) = -492*h**3 - 15*h - 5. Calculate 8*j(v) - 5*y(v). -246*v**3 Let n(m) = -m. Let v(r) = 6*r - 43. Calculate 4*n(d) + v(d). 2*d - 43 Let a be 1 + -2*2/(-4). Let o = a - 7. Suppose 3*x = -5*x + 16. Let s(t) = -4*t**3 - 2*t**2 - 5*t. Let h(j) = -2*j**3 - j**2 - 2*j. Determine o*h(r) + x*s(r). 2*r**3 + r**2 Let p be (-22)/2 + 5 + 0. Let z(a) = 1. Let u(w) = -w + 1. Give p*z(l) + 5*u(l). -5*l - 1 Let l(k) = -32*k**3 + k**2 + 16*k**3 - 11 + 12 + 15*k**3. Let j(v) = -3*v**2 + 1. Give -j(h) + l(h). -h**3 + 4*h**2 Let t(y) be the first derivative of -27*y**2/2 + 12*y - 101. Let l(q) = 11*q - 5. Determine -12*l(z) - 5*t(z). 3*z Let a(c) = c - 1. Let y(f) = 6*f - 2. Let n be 9/99 - 10/(-11). Give n*y(j) - 4*a(j). 2*j + 2 Let g(o) = -43*o + 4. Let j(b) = -32*b + 3. Let n(v) = 3*g(v) - 4*j(v). Let a(u) = -7*u + 2. Let h = 11 + -6. Determine h*n(r) - a(r). 2*r - 2 Suppose 5*h = 3*v + 19, -11*v = -7*v - 4*h + 12. Let w(x) = 16*x**2 - 18*x + 18. Let y(s) = s**2 - s + 1. What is v*w(u) - 36*y(u)? -4*u**2 Let h(x) = -14*x**3 - 5*x**2 - 405*x - 3. Let d(c) = -6*c**3 - 2*c**2 - 202*c - 1. Calculate 5*d(f) - 2*h(f). -2*f**3 - 200*f + 1 Let g(m) = m. Let v(o) be the second derivative of 7*o**3/6 - 2*o + 152. Determine 5*g(i) - v(i). -2*i Let o(i) = -i - 5. Let b(n) = -2*n - 9. Let r = -24 + 30. Suppose x + 3*h - r*h = -13, -x = 5*h - 11. What is x*b(p) + 7*o(p)? p + 1 Let f = 58 - 51. Let h(d) = -6 + 0 - 6*d - 7 + f - 5*d**3. Let z = 2 - 8. Let u(k) = k**3 + k + 1. Determine z*u(s) - h(s). -s**3 Let j(y) = -3*y + 25. Let p(b) = -3*b + 26. What is -6*j(q) + 7*p(q)? -3*q + 32 Let s(m) = -8*m. Let g(y) = y**3 + 4*y**2 - 10*y + 14. Let k be g(-6). Let h(t) = -t - 1. Calculate k*h(o) - s(o). 6*o - 2 Let u(w) = -3*w**2 - 2*w + 1. Let d(s) = -2*s**3 - 12*s**2 - 9*s + 9. Let r(t) = -d(t) + 5*u(t). Let m(j) = 3*j**3 - 5*j**2 - 2*j - 7. What is 4*m(p) - 7*r(p)? -2*p**3 + p**2 - p Let z(q) = q**2 - q. Let j(k) = -110 + 110 - 3*k + 24*k**2 + k**3 - 21*k**2. Give -4*j(t) + 12*z(t). -4*t**3 Let i(m) = 15*m - 17. Let z(w) = -23*w + 25. Calculate 7*i(a) + 5*z(a). -10*a + 6 Let f(p) = p**2 - 2*p + 2. Suppose 2 = u - 2, 4*u - 8 = -4*i. Let k(g) = -20 + 55 - 22 - 3*g**2 - 19 + 7*g. Determine i*k(s) - 7*f(s). -s**2 - 2 Let c be (3 + 72/(-30))*-5. Let f(g) be the third derivative of g**6/40 - 7*g**4/12 + g**3 + g**2. Let i(p) = -p**3 + 5*p - 2. Calculate c*f(v) - 8*i(v). -v**3 + 2*v - 2 Let b(l) = l**3 - 4*l**2 + 4*l - 4. Let j(d) = 1 + 2*d**2 + 3*d**2 - 5*d**2 + d**2 - d + d**3. Determine -b(c) - 4*j(c). -5*c**3 Let t(j) = j - 1. Suppose q - 6*u + 3*u - 3 = 0, 0 = 2*q + 3*u - 15. Let s(g) = -1 + g + q*g - 6*g. Determine -6*s(i) + 5*t(i). -i + 1 Let k(l) = 3*l**3 - 41*l**2 - 3*l + 7. Let c(v) = -v**3 + 21*v**2 + v - 3. What is -5*c(t) - 2*k(t)? -t**3 - 23*t**2 + t + 1 Let y(w) = -6*w**2 + 11*w - 4. Let q(d) = -7*d**2 + 10*d - 5. Determine -5*q(a) + 6*y(a). -a**2 + 16*a + 1 Let b(j) = 146*j - 69*j + 6 + 9 - 75*j - 8. Let l(n) = -n - 6. Calculate -2*b(w) - 3*l(w). -w + 4 Let r be 21/6*(-608)/266. Let s(w) = 2*w**3 - 8*w. Let h(i) = -i. Calculate r*h(x) + s(x). 2*x**3 Let f(v) = v - 4. Let g(s) = 2*s - 5. Let o(b) = 4*b**3 + 74*b**2 - 32*b + 116. Let n be o(-19). Let c be (-4)/6 - (-14)/(-6). Calculate c*f(r) + n*g(r). r + 2 Let t(g) = -5*g**2 + 4*g - 9. Let j(v) = -11*v**2 + 8*v - 18. What is -3*j(y) + 7*t(y)? -2*y**2 + 4*y - 9 Let n(j) = -21*j + 10. Let l(a) = -11*a + 3. What is -5*l(v) + 2*n(v)? 13*v + 5 Let z(l) = 5*l + 1. Suppose -7*v - 5*v - 48 = 0. Let i(f) = 4 - 3 + 6*f + 1. What is v*z(d) + 3*i(d)? -2*d + 2 Let h(u) = -u**3 + 1. Let j(z) = -4*z**3 - 3*z**2 - 3. Calculate 3*h(q) + j(q). -7*q**3 - 3*q**2 Let d(p) = 3*p**3 + 3*p**2 + p**2 + 5*p**3 + 4*p. Let o(m) = -16*m**3 + 33*m**3 - 2584*m**2 + 9*m + 2593*m**2. Calculate -9*d(v) + 4*o(v). -4*v**3 Let s(w) = 15*w**3 - 151*w**2 + 19*w - 13. Let p(
{ "pile_set_name": "DM Mathematics" }
mplify (1 + -1 + sqrt(156)/(sqrt(432)*2) + -3)**2. -sqrt(13)/2 + 1309/144 Simplify (1*sqrt(325) + -3)**2 + ((sqrt(78)*-2)/sqrt(6) - -6*sqrt(13)*-2). -44*sqrt(13) + 334 Simplify (sqrt(22)/sqrt(2)*-6 - -1*(sqrt(11) - sqrt(99)))**2 + ((sqrt(44)/sqrt(4) + 4)**2 - (sqrt(33)/sqrt(3) + -4)). 7*sqrt(11) + 735 Simplify -1*(-3 + ((sqrt(153) + -4 + sqrt(17))**2 - sqrt(153)*2) + 3). -288 + 38*sqrt(17) Simplify (-4*(-3 + sqrt(175)) + 0 + sqrt(175) + -2)**2*1. -300*sqrt(7) + 1675 Simplify sqrt(147) + (sqrt(147) + -1 - sqrt(147)) + 3 + sqrt(147) + sqrt(147) + 2 + sqrt(363) + 0. 4 + 32*sqrt(3) Simplify ((sqrt(68) + (sqrt(68) - (sqrt(68) + sqrt(68)*-1 - sqrt(68)))*6)/sqrt(4) - sqrt(51)/(sqrt(3) - (sqrt(27)/sqrt(144) - sqrt(3))))**2. 128673/49 Simplify (sqrt(125)*1 + 3 + -2*sqrt(720)*-6)**2. 894*sqrt(5) + 111014 Simplify (-5*sqrt(198)/sqrt(6))/(-5*sqrt(3)*3). sqrt(11)/3 Simplify (sqrt(80)*-5 + sqrt(60)/(sqrt(24)/sqrt(2)) - (-1 + sqrt(10)/((sqrt(32) - sqrt(2)) + sqrt(2))))*-4. -4 + 77*sqrt(5) Simplify (2 + (sqrt(2057) - (sqrt(2057) + 2 + sqrt(2057)) - sqrt(2057)) - (sqrt(68)/sqrt(4)*-4 + 0))**2. 5508 Simplify -6*(sqrt(33)/(-2*sqrt(176)) - sqrt(3888)*2)**2. -2996361/32 Simplify -4*(sqrt(180)/sqrt(576) - sqrt(20))/sqrt(4) + -4. -4 + 7*sqrt(5)/2 Simplify (-1*sqrt(700) + -4 - (sqrt(700) + (sqrt(700) + -2)*-5))**2*-3. -19488 + 2520*sqrt(7) Simplify ((sqrt(6300)*-2)/(-2*sqrt(144)))**2 + -2 + -3. 155/4 Simplify (((sqrt(833) + 2 + sqrt(833))*-2 - 1*sqrt(833)*-5) + -1 + -2)**2. -98*sqrt(17) + 882 Simplify (sqrt(12)/sqrt(12))/((sqrt(126)/sqrt(9))/sqrt(7)). sqrt(2)/2 Simplify -5*(sqrt(85)*-2*2)/(sqrt(20)/sqrt(4)*-2 + sqrt(5))*-6. 120*sqrt(17) Simplify -5 + (sqrt(132)*-2*-6)/(sqrt(12) + (-3*sqrt(120))/sqrt(10)). -6*sqrt(11) - 5 Simplify sqrt(55)/(sqrt(55)/sqrt(45))*5 - (4*(1*sqrt(10) - sqrt(10)))/(sqrt(2) - 1*(sqrt(2) - 2*sqrt(2))). 15*sqrt(5) Simplify 3 + -1 + -1 + -2 + (-1 + sqrt(1573) - sqrt(1573)). -2 Simplify (((sqrt(32) + sqrt(128) - sqrt(2)) + (sqrt(2) - sqrt(14)/(-1*sqrt(7))) + sqrt(20)/(sqrt(10)*-2)*4)*5)**2. 6050 Simplify 4 + (sqrt(171) - (sqrt(171) - (sqrt(171) - (sqrt(171) + (sqrt(171) + (sqrt(171) - (sqrt(171)*-1 + sqrt(171))) - sqrt(171)))))*1)/(-1*sqrt(1296)). sqrt(19)/12 + 4 Simplify (5 + sqrt(252)*-2 + 0 + -2 + sqrt(252)*-2 + 0)**2. -144*sqrt(7) + 4041 Simplify (((sqrt(7) - sqrt(42)/sqrt(6)*-5) + sqrt(35)/(sqrt(20)/sqrt(4)) + -4)*-1)**2. -56*sqrt(7) + 359 Simplify 1 + ((-2*(4 + sqrt(2736)))**2 - sqrt(2736))*6*6. 13392*sqrt(19) + 396289 Simplify (5*sqrt(4356))/(sqrt(12) - (sqrt(12) + sqrt(12) + sqrt(144)/(sqrt(12) - sqrt(12)*-3))). -44*sqrt(3) Simplify (6*(1 + sqrt(1700) + 1 + 2))**2 + -2. 2880*sqrt(17) + 61774 Simplify (sqrt(1694)*1*-6)/(-4*(sqrt(28) - sqrt(7))*-1). -33*sqrt(2)/2 Simplify (6*-4*-1*sqrt(70))/(((sqrt(10) - (sqrt(1000) + sqrt(1000)*1 + sqrt(1000) - sqrt(1000))) + sqrt(10))*2). -2*sqrt(7)/3 Simplify (sqrt(112) + 4)*3 + ((sqrt(84)*-1 + sqrt(84))/sqrt(12) - (sqrt(7) - (-1 + sqrt(7)))*1). 11 + 12*sqrt(7) Simplify 6*(sqrt(14)/(sqrt(4)/sqrt(2)*-1) + 1 + 3)*-4. -96 + 24*sqrt(7) Simplify (-2 + ((sqrt(2401) + sqrt(2401) + sqrt(2401) + (sqrt(2401) - sqrt(2401)*2) + sqrt(2401))*3)/(sqrt(847)*-1*1))**2. 252*sqrt(7)/11 + 28267/121 Simplify -3 + (5 + 0 + sqrt(2) + 1)*2 + -2. 2*sqrt(2) + 7 Simplify ((2*(2*sqrt(240) + sqrt(240)) - -4*(sqrt(240)*-1 - sqrt(240)))/((sqrt(5) - 1*sqrt(245))*4))**2. 1/3 Simplify 2 + (6*sqrt(1188))/(sqrt(3) + (sqrt(147) + (sqrt(147) - sqrt(147)*3) - sqrt(147)) + sqrt(3)). -3*sqrt(11) + 2 Simplify 0 + (sqrt(50)/((sqrt(80)*1)/sqrt(8)) - ((sqrt(405) + -1 - sqrt(405)) + 2)**2). -1 + sqrt(5) Simplify 2*(-2*sqrt(170)*-1 + sqrt(170))/(sqrt(120)/sqrt(12)*6). sqrt(17) Simplify (1 + (1 + sqrt(19) + 0 - sqrt(228)/(sqrt(432) + sqrt(12))))*-5. -30*sqrt(19)/7 - 10 Simplify ((sqrt(243) + -2 + (1 + sqrt(243) - sqrt(243)))*5 + 5 + 1)**2. 90*sqrt(3) + 6076 Simplify ((sqrt(140)/(sqrt(196)*-2))/(sqrt(1008) + sqrt(1008)*1 - (-1*sqrt(28))/sqrt(4)))**2*5. 1/4900 Simplify (sqrt(320) + (sqrt(320)*-2 - sqrt(320)))/(sqrt(40)/(sqrt(4)*1)) + (sqrt(1250) + -1)**2 + 3. -58*sqrt(2) + 1254 Simplify -2 + (-3 + (2*sqrt(2299) - sqrt(2299)) + -5)**2 + -2 + 0. -176*sqrt(19) + 2359 Simplify (-3*(2*sqrt(130) - sqrt(130)) + -6*2*sqrt(130))/(sqrt(90)/(sqrt(99)/sqrt(176))). -15*sqrt(13)/4 Simplify (sqrt(85)*2*-6 + (sqrt(85) - (sqrt(85) - (sqrt(85) + 5*sqrt(85)*-2) - sqrt(85))))/((sqrt(605)*-1 - sqrt(605)) + -6*1*sqrt(5)). 5*sqrt(17)/7 Simplify sqrt(10)/(-3*sqrt(2))*-4 + -3*(sqrt(180) + -2). -50*sqrt(5)/3 + 6 Simplify 5 + (sqrt(660)/(sqrt(48)/sqrt(4) + sqrt(12)))/((sqrt(10)*-3)/sqrt(2)). -sqrt(11)/6 + 5 Simplify (-3 + sqrt(833)*1 + 1*-1*sqrt(833))**2 - -6*(-2 + -2 + sqrt(833)). -15 + 42*sqrt(17) Simplify (-3*(sqrt(152) + 2*sqrt(152)) + sqrt(152) - sqrt(152))/(sqrt(8) - 3*sqrt(800)). 9*sqrt(19)/29 Simplify (sqrt(1100)*-2 + 5 + 2*sqrt(1100)*-6 - (-1 + sqrt(1100) + sqrt(1100) + 2*sqrt(1100) - (-4 + (sqrt(1100) - sqrt(1100)*2))))**2. -760*sqrt(11) + 397104 Simplify (sqrt(220)/sqrt(44))/(5*sqrt(30)/sqrt(3)). sqrt(2)/10 Simplify (sqrt(72) - sqrt(72)*-2 - sqrt(12)/((sqrt(6) - (sqrt(6) - (sqrt(6) + -2*sqrt(6)))) + sqrt(6) - sqrt(6))) + (6*(sqrt(18) + 0) + sqrt(18))**2. 19*sqrt(2) + 882 Simplify (sqrt(180)/(sqrt(132)/sqrt(99)))/(sqrt(30)/(-4*2*sqrt(10))). -24*sqrt(5) Simplify 0 + (sqrt(17) + -4*sqrt(272))**2 + sqrt(17) + -5 - (2*4*sqrt(68)*-5)**2. -104980 + sqrt(17) Simplify sqrt(200)*4*3 + sqrt(200) + ((-5 + sqrt(200))*-5)**2. -2370*sqrt(2) + 5625 Simplify -6*((sqrt(242) + sqrt(242) + (sqrt(242) - (sqrt(242) - sqrt(242)*1 - sqrt(242))))/sqrt(11))/sqrt(11)*6. -144*sqrt(2) Simplify sqrt(12)/(sqrt(12)/(sqrt(2)*-2) + sqrt(6) + sqrt(6)) + -2 + (4 + (sqrt(288) + -1)**2)*-2. -588 + 146*sqrt(2)/3 Simplify -5*(-2 + (sqrt(136)/(sqrt(8)*-2) - (sqrt(1088) + (3*sqrt(1088))**2 + sqrt(1088)))). 165*sqrt(17)/2 + 48970 Simplify -5 + (sqrt(117) + sqrt(117) + sqrt(117) + 2)*3 + -2. -1 + 27*sqrt(13) Simplify (-5 + 2 + sqrt(19)*-2 + -5 + (sqrt(114)*-1*1)/(sqrt(216)*-2 + sqrt(216)))**2. 88*sqrt(19)/3 + 4603/36 Simplify ((sqrt(171)*-2 - sqrt(171))*-4)/((sqrt(72)*3)/sqrt(8)). 4*sqrt(19) Simplify 1 + 2 + (sqrt(684))**2 + ((sqrt(684)*1 - sqrt(684) - sqrt(684))*-6)**2. 25311 Simplify 3*(-4 + (sqrt(91) - (sqrt(91) + (sqrt(91) + sqrt(91)*2 + sqrt(91))*-3))/(sqrt(14)/sqrt(2)*6)). -12 + 6*sqrt(13) Simplify ((sqrt(10) - (sqrt(10) + sqrt(810) + (-4*sqrt(810) + sqrt(810) - sqrt(810) - sqrt(810))) - sqrt(10))/(sqrt(24)/(sqrt(432) - sqrt(12))))**2. 153125 Simplify -6*sqrt(3200)*6*-5*1. 7200*sqrt(2) Simplify (-3*sqrt(1694)*-2)/((-1*sqrt(7)*2 - sqrt(7)) + -3*sqrt(35)/sqrt(5)). -11*sqrt(2) Simplify (sqrt(108) + 2 + 0 + sqrt(108))*-1 - ((0 + -1 + sqrt(108) + sqrt(108) - sqrt(108)) + (-4*(-1 + sqrt(108)))**2). -1745 + 174*sqrt(3) Simplify (1*(sqrt(288) + 2) - 1*sqrt(288)*-1)**2*6. 576*sqrt(2) + 6936 Simplify 1 + (1*sqrt(288) + -1 + sqrt(288))**2 + (sqrt(288) + 1)*-6 + 3. -120*sqrt(2) + 1151 Simplify 1*(4*(sqrt(35) - (sqrt(35) - (sqrt(35) + 2*sqrt(35)))))/(-1*(sqrt(343) - sqrt(7))). -2*sqrt(5) Simplify 2 + -4*(sqrt(18)/(2*sqrt(294)) + ((sqrt(3) + 2*(sqrt(12) - sqrt(3) - sqrt(3)))**2 - sqrt(243))). -10 + 250*sqrt(3)/7 Simplify (-2*2*sqrt(104)*5)/(sqrt(24)/(sqrt(27)*3)). -180*sqrt(13) Simplify 1 + (sqrt(18)/sqrt(8))/sqrt(3)*1. sqrt(3)/2 + 1 Simplify (-4 + ((sqrt(1008))**2 + sqrt(28) - sqrt(28)))*4 + (sqrt(28) - (sqrt(448) + -3)) + (sqrt(28) - (sqrt(28) + sqrt(28) + -2))**2 + 4. -14*sqrt(7) + 4055 Simplify sqrt(28)/(sqrt(44)/(sqrt(22)/sqrt(2))) + 2 - (-1 + -5 + sqrt(175) + -2 + sqrt(175)). -9*sqrt(7) + 10 Simplify (1*(-5 + sqrt(500) + 0 + sqrt(500)*2*-5)*6)**2. 32400*sqrt(5) + 1458900 Simplify (sqrt(156)*-1*-2 - 1*sqrt(156)*-6)/(sqrt(108) + 3*-1*sqrt(108) + sqrt(108)). -8*sqrt(13)/3 Simplify 3 + (-1*sqrt(171))/sqrt(9) + sqrt(19) + 1 + ((4 + sqrt(2299) - sqrt(2299))*5)**2. 404 Simplify ((sqrt(72)/(sqrt(72)/(sqrt(8)*3) + sqrt(9)))/((-3*(sqrt(40) + sqrt(40) + sqrt(1440)))/sqrt(10)))**2. 1/512 Simplify sqrt(76)/(sqrt(4) - (sqrt(4) - ((sqrt(324) - -2*sqrt(324)) + sqrt(324)))) + (sqrt(171) + 1)**2 + (sqrt(190)/sqrt(90))**2 + 0. 217*sqrt(19)/36 + 1567/9 Simplify ((sqrt(931) + (sqrt(931) - 4*(sqrt(931) - (sqrt(931) - sqrt(931)*1))))*-4 - 2*sqrt(931)*-2*-5)**2. 134064 Simplify (-3*(sqrt(136) + (sqrt(136)*-3*-4 + sqrt(136) - sqrt(13
{ "pile_set_name": "DM Mathematics" }
the closest to -2/3 in -5, -12, 0.2, -4/7? -4/7 What is the closest to 1/2 in -3/23, -3, 29/7? -3/23 Which is the closest to -30? (a) 0.4 (b) -0.5 (c) -1 (d) -1/3 c What is the nearest to -5 in -0.2, 0.3, 35? -0.2 Which is the closest to 0.1? (a) 2 (b) 1/3 (c) 0 (d) -0.9 c What is the nearest to 0.3 in -1/3, 0.2, 1, 7/6? 0.2 What is the nearest to -1 in -0.1, -74, 2, 1? -0.1 What is the nearest to 0.11 in 0, 2, -14/3? 0 What is the closest to 0.2 in 1/6, -16, 2/3? 1/6 Which is the nearest to -1? (a) 1/2 (b) 3 (c) -0.2 (d) 5/3 c Which is the nearest to -1? (a) 5 (b) -6 (c) -63 (d) -2/3 d What is the closest to 0.102 in -1/4, 5, -0.5, 15? -1/4 Which is the nearest to -10? (a) -0.2 (b) 2.5 (c) -0.4 c What is the nearest to 2/11 in 5, 3, -0.4, 0.1? 0.1 What is the closest to -0.1 in 2, 0.2, 3, -1/10? -1/10 What is the closest to 0.4 in -4, -9/5, -0.2, 2? -0.2 What is the nearest to -2 in -2, 3, -0.07, 0.4? -2 Which is the nearest to 0.11? (a) -1/4 (b) 0.02 (c) 2 (d) 2/7 b Which is the nearest to 2? (a) 2 (b) 2/23 (c) 0.2 (d) -0.3 a Which is the nearest to 0? (a) -3/5 (b) 0.2 (c) -0.3 (d) -1/10 d Which is the nearest to 8? (a) -0.1 (b) 1/5 (c) 1 (d) -1 c Which is the nearest to -0.66? (a) -15 (b) -1 (c) -1/7 b Which is the nearest to 0.1? (a) 5 (b) -4/7 (c) 0.04 (d) 11 c What is the closest to 2 in -0.5, 0.3, -2? 0.3 Which is the closest to 2? (a) 0.042 (b) -4/3 (c) 0.4 (d) -0.1 c Which is the closest to 33? (a) 2/5 (b) -0.2 (c) -0.02 a What is the closest to -0.05 in -2, 0.5, -4? 0.5 Which is the nearest to -0.1? (a) 2/9 (b) 1 (c) -3/4 (d) -5 a What is the nearest to 0.1 in 46, 23, 1/5? 1/5 Which is the nearest to -382.6? (a) 0.2 (b) -0.4 (c) 0 (d) 0.3 b What is the closest to -2 in 0.4, -5/3, 1.9? -5/3 What is the nearest to 18 in -4, -3, 2/7? 2/7 What is the closest to 0 in 5, -2/17, -4? -2/17 Which is the nearest to 3? (a) 2 (b) 6/5 (c) 1/7 (d) 0.6 a What is the nearest to -10 in -1, 0.04, -5, 6/7? -5 What is the nearest to 6 in 0, 0.5, -16.6? 0.5 What is the closest to -4/25 in -37, 1/3, 2? 1/3 Which is the closest to -1.3? (a) -10 (b) -4 (c) -1/7 c What is the closest to -0.11 in 0.6, 4, -1/5? -1/5 Which is the nearest to -2/7? (a) -104 (b) -3 (c) 0.4 (d) 0 d Which is the nearest to -0.1? (a) 0 (b) 5/9 (c) 0.2 a What is the closest to -1/4 in 0.06, -3, 1/2, 4/7? 0.06 What is the closest to -2/7 in 0.3, 0.6, 0.2, -0.3? -0.3 Which is the closest to 0? (a) 315 (b) 0.1 (c) 1 b Which is the closest to -1? (a) 0.4 (b) -1 (c) 2/13 (d) -5 b Which is the nearest to -0.2? (a) 2/7 (b) 0.1 (c) -2.89 b Which is the closest to -0.09? (a) 0.2 (b) 0.5 (c) 0 (d) -0.4 c Which is the nearest to 1? (a) -7/3 (b) 1/6 (c) -2 (d) -5/2 b What is the nearest to 1 in -0.3, 5, 3.9, 0? 0 Which is the nearest to 47? (a) 0 (b) 0.9 (c) 0.3 b Which is the nearest to 0.1? (a) -4/255 (b) -0.1 (c) 2/11 (d) 1/8 d Which is the nearest to 0.13? (a) -55 (b) 2/9 (c) -1 b What is the nearest to 0.1 in 5, 0.5, -2/3, 4? 0.5 Which is the closest to 1? (a) 9 (b) -1/5 (c) 0.5 (d) 2/9 c What is the closest to 0.1 in 0.5, -2, -3? 0.5 What is the nearest to -3/5 in 0.5, 0, 0.1, -0.5? -0.5 Which is the closest to 0.11? (a) -0.3 (b) 9 (c) 3/5 a Which is the closest to -1/3? (a) 2/3 (b) -5 (c) -3 (d) -1/2 d What is the nearest to 1 in -1/6, -7, 3/7, 1/4? 3/7 What is the nearest to -5/9 in 5, 3, 11, 0.5? 0.5 Which is the nearest to 0.2? (a) -5 (b) 0 (c) 4/5 (d) -0.07 b What is the nearest to -0.2 in -17, 2/5, 11/2, -0.3? -0.3 Which is the nearest to 2/7? (a) 7/5 (b) -0.049 (c) -2/7 b What is the nearest to 1/6 in -4, 0, 3/2, 2/3? 0 Which is the closest to 3? (a) 1 (b) 3 (c) 0.3 b What is the closest to -1 in -0.4, 1.78, -2, -4? -0.4 What is the nearest to 135 in -1, 2/13, 11, 3? 11 What is the nearest to -1/4 in -1, -0.2, 0.8? -0.2 What is the closest to 0 in 0.1, 3/2, 2, 0.2? 0.1 Which is the closest to -1/3? (a) -5 (b) 1 (c) 46 (d) 0.1 d Which is the closest to 0.1? (a) -113 (b) 3/7 (c) 0.2 c What is the nearest to -3 in -5, -1/149, 0.2, 4? -5 Which is the closest to 2? (a) -0.13 (b) -1.9 (c) -0.2 a What is the nearest to -2/13 in 1, -7, -1, -1/7? -1/7 What is the nearest to 3/17 in -10/11, 2, -2/3? -2/3 Which is the closest to -0.4? (a) 2/41 (b) -2/7 (c) 3 b Which is the nearest to 0.2? (a) 1/22 (b) -1/7 (c) 1/3 (d) 0.2 d What is the closest to 0.2 in -15, 0.5, 1, 2? 0.5 What is the closest to 1 in 3, -3/5, -5, 6? -3/5 What is the closest to 1 in 2/21, 2/3, -0.2? 2/3 What is the nearest to 5 in -3, -0.5, 2, 0.02? 2 What is the closest to 2/67 in -5, -10, 7? -5 What is the closest to -0.1 in 2/17, -1/5, 14? -1/5 What is the nearest to 5 in 2/21, 1/2, -1? 1/2 What is the nearest to -1 in 0.09, 3, 1/4? 0.09 Which is the nearest to 0.2? (a) -1 (b) 4 (c) 0.2 (d) -2/5 c Which is the closest to 3? (a) 21 (b) -1 (c) 2 c Which is the nearest to -1? (a) 3/7 (b) 0.9 (c) 1/2 a Which is the nearest to 0? (a) -33 (b) 0.4 (c) 5 b Which is the nearest to 0? (a) 897 (b) 2/11 (c) -1/8 c What is the nearest to -0.06 in -1/4, 105, -1? -1/4 Which is the nearest to 0.1? (a) -23 (b) -1 (c) 7 b What is the closest to 7/3 in 2, 0.169, -0.3, -3? 2 What is the nearest to 29 in -1, 3/7, -3? 3/7 Which is the closest to 1? (a) 1/3 (b) 0.5 (c) -38 (d) -1/6 b Which is the nearest to 1? (a) 5/3 (b) 1 (c) -1/13 b Which is the closest to -7? (a) 3/4 (b) -44 (c) 2 a Which is the nearest to 4? (a) 1/5 (b) 397 (c) -3 a What is the nearest to -6 in 140, 0, 3? 0 What is the closest to -3 in 4, 1/2, -0.1? -0.1 Which is the nearest to 3? (a) 2 (b) -18 (c) 5 (d) 2/5 a What is the nearest to -1/4 in -1/6, -1, 2.8? -1/6 What is the nearest to 2/11 in -5, 1/4, -1/5, -0.4? 1/4 Which is the nearest to 2? (a) 14 (b) 2 (c) -2/11 b What is the nearest to 1/4 in 2, 0.3, -2/5, -0.01? 0.3 Which is the nearest to -1? (a) 1/18 (b) -4 (c) -0.34 (d) -1 d Which is the closest to -3? (a) -8 (b) 0 (c) 2/3 (d) 0.4 b What is the nearest to -0.09 in -1, -2, -4? -1 Which is the nearest to 211? (a) 4/7 (b) 4 (c) -4 b What is the closest to 2 in -0.3, -0.06, -5, -2/3? -0.06 What is the nearest to -2/7 in 0.8, -0.9, -1/2, 1? -1/2 Which is the nearest to 2/7? (a) -0.02 (b) -3 (c) -0.1 (d) -5 a Which is the closest to -7/9? (a) -2 (b) 0.3 (c) 0 c What is the nearest to -1 in -2/19, 0, -3, 0.5? -2/19 Which is the closest to 1? (a) -2/13 (b) 124 (c) -2/7 (d) 4/7 d What is the closest to 0.2 in 2/3, -0.3, 10, 19? 2/3 Which is the closest to -1/5? (a) 2/5 (b) -4 (c) 2 (d) 1 a What is the closest to -2/5 in 2/17, -2, -6? 2/17 What is the closest to -0.1 in 0.1, 3, -22? 0.1 What is the nearest to -3/2 in -2, 37, 0? -2 What is the nearest to 2/3 in 0, 294, -0.1? 0 What is the nearest to -0.1 in -9, 1/5, 1/2, -4/7? 1/5 Which is the nearest to -1? (a) -2/9 (b) -8 (c) 51 (d) 0.3 a What is the closest to -0.09 in 3/5, -11, -1, 1/10? 1/10 What is the closest to -0.07 in -0.5, 1, -0.03? -0.03 Which is the nearest to -2/5? (a) -0.1 (b) -5/4 (c) 0.009 a What is the closest to -2/7 in -0.1, -0.3, 4, -0.7? -0.3 Which is the closest to -0.1? (a) 30 (b) 19 (c) -0.3 c Which is the closest to 2/5? (a) 31 (b) 5 (c) 1 (d) -2 c Which is the closest to -1/3? (a) -11 (b) -0.2 (c) -8/7 b Which is the nearest to -9? (a) 0.5 (b) -0.4 (c) 0.1 (d) 2/5 b Which is the nearest to 3/14? (a) 5 (b) -2/13 (c) -48 (d) 0.1 d What is the closest to 14 in -0.2, -2/11, -0.7? -2/11 Which is the nearest to 3/2? (a) 6/11 (b) 5 (c) 2/11 (d) -2/3 a What is the closest to 0.2 in -2/63, 1, 3/29, 3? 3/29 Which is the nearest to 1? (a) 1211 (b) 1 (c) 1/4 b Which is the closest to -6/17? (a) 2 (b) 9 (c) -2/7 c Which is the nearest to -2/5? (a) 1/8 (b) 0 (c) -0.01 (d) -10 c What is the closest to -2/7 in 2, 1, -4/7, 5? -4/7 Which is the nearest to -0.1? (a) 0.4 (b) -0.1 (c) 64 (d) -1 b What is the nearest to 4 in -2/3, 1, 0, -15? 1 What is the closest to 1/6 in 1/10, -0.09, -1/2, 5? 1/10 What is the closest to -4 in -0.5, -0.26, -3? -3 What is the nearest to -1 in -6, 9, -1? -1 Which is the closest to -0.11? (a) -5 (b) -0.1 (c) -4 b What is the nearest to 24 in -1,
{ "pile_set_name": "DM Mathematics" }
ent from {t: 6, g: 2, n: 5, h: 2, z: 1}? 1/91 Two letters picked without replacement from hclvn. What is prob of picking 1 v and 1 n? 1/10 What is prob of picking 4 e when four letters picked without replacement from {e: 4}? 1 Four letters picked without replacement from yeyee. What is prob of picking 1 y and 3 e? 2/5 Two letters picked without replacement from {w: 1, n: 1, x: 2, m: 1, b: 1, f: 1}. What is prob of picking 1 x and 1 w? 2/21 Calculate prob of picking 3 f and 1 d when four letters picked without replacement from {f: 4, n: 4, v: 1, d: 2, u: 6}. 2/595 Four letters picked without replacement from {v: 3, q: 5, f: 3, o: 1}. What is prob of picking 3 v and 1 q? 1/99 Three letters picked without replacement from {d: 1, o: 11}. Give prob of picking 1 d and 2 o. 1/4 Three letters picked without replacement from zgcczzzcgcczc. Give prob of picking 1 c and 2 g. 3/143 Three letters picked without replacement from {n: 4, l: 4, q: 3, g: 1, p: 1}. Give prob of picking 1 l and 2 q. 6/143 Calculate prob of picking 2 q and 1 i when three letters picked without replacement from {q: 6, b: 3, g: 6, t: 2, i: 1}. 5/272 Calculate prob of picking 2 d when two letters picked without replacement from {e: 3, d: 3}. 1/5 Two letters picked without replacement from {e: 2, b: 5}. Give prob of picking 1 e and 1 b. 10/21 Two letters picked without replacement from lliwlaflal. Give prob of picking 1 f and 1 w. 1/45 Calculate prob of picking 1 o and 1 k when two letters picked without replacement from {h: 5, u: 4, k: 3, o: 1}. 1/26 Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {w: 4, t: 3}. 4/7 Three letters picked without replacement from {u: 3, x: 3, z: 7, n: 6}. Give prob of picking 1 n and 2 u. 6/323 Two letters picked without replacement from yjayajjnjjnjkjayjn. What is prob of picking 1 a and 1 n? 1/17 Four letters picked without replacement from tzowzdeztwozewwoe. Give prob of picking 4 w. 1/2380 Calculate prob of picking 1 d, 1 r, and 1 j when three letters picked without replacement from {r: 5, j: 3, d: 2, s: 3}. 15/143 Two letters picked without replacement from {h: 17, g: 2}. Give prob of picking 2 h. 136/171 Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {l: 3, g: 2, e: 4, a: 1}. 4/15 Three letters picked without replacement from {k: 1, u: 2, d: 1, t: 1, n: 2}. Give prob of picking 1 d, 1 u, and 1 k. 2/35 Two letters picked without replacement from aacaaaaacuaacuaccaa. Give prob of picking 2 u. 1/171 Four letters picked without replacement from ojaaaaj. What is prob of picking 4 a? 1/35 Three letters picked without replacement from {o: 2, h: 2, t: 1, u: 1, y: 1, s: 2}. Give prob of picking 1 s, 1 o, and 1 h. 2/21 Four letters picked without replacement from {x: 2, s: 4, q: 4}. Give prob of picking 1 x, 1 q, and 2 s. 8/35 Three letters picked without replacement from {h: 5, y: 5}. What is prob of picking 1 h and 2 y? 5/12 What is prob of picking 2 h and 1 u when three letters picked without replacement from {s: 1, x: 2, u: 1, h: 3}? 3/35 What is prob of picking 1 i and 3 n when four letters picked without replacement from {l: 6, i: 2, n: 4, s: 1}? 8/715 Three letters picked without replacement from {h: 3, k: 2}. What is prob of picking 3 h? 1/10 Two letters picked without replacement from {b: 1, q: 1, n: 1}. What is prob of picking 1 n and 1 q? 1/3 Four letters picked without replacement from {x: 10, s: 4}. Give prob of picking 2 s and 2 x. 270/1001 Three letters picked without replacement from ezixx. What is prob of picking 1 e, 1 z, and 1 i? 1/10 What is prob of picking 2 j and 1 k when three letters picked without replacement from jkjjkkjkkjjjj? 70/143 Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {v: 1, b: 3, c: 5, k: 3, r: 2, i: 1}. 1/21 Three letters picked without replacement from {v: 2, g: 4, q: 1, o: 3, h: 4}. What is prob of picking 1 g, 1 o, and 1 v? 6/91 What is prob of picking 2 b when two letters picked without replacement from vvbbvvvvvv? 1/45 Three letters picked without replacement from {a: 2, m: 2}. Give prob of picking 2 a and 1 m. 1/2 Three letters picked without replacement from {r: 4, d: 1, x: 8, u: 2}. What is prob of picking 1 r and 2 x? 16/65 What is prob of picking 1 i and 1 u when two letters picked without replacement from ffxifuw? 1/21 Three letters picked without replacement from medme. What is prob of picking 1 m and 2 e? 1/5 Calculate prob of picking 1 s, 1 q, and 1 v when three letters picked without replacement from {s: 4, v: 2, k: 6, q: 3}. 24/455 Three letters picked without replacement from ttttoottttttt. Give prob of picking 1 o and 2 t. 5/13 Two letters picked without replacement from uurunurnrrrrw. Give prob of picking 1 r and 1 w. 1/13 Calculate prob of picking 4 t when four letters picked without replacement from tthtthttt. 5/18 Calculate prob of picking 2 y when two letters picked without replacement from {o: 2, v: 1, t: 4, x: 1, y: 5, d: 2}. 2/21 What is prob of picking 1 i and 2 n when three letters picked without replacement from {h: 2, f: 4, i: 2, w: 1, n: 1}? 0 Four letters picked without replacement from ssnnsnnsnnnnsnnnnnn. Give prob of picking 4 n. 1001/3876 Two letters picked without replacement from {c: 4, g: 10}. Give prob of picking 2 c. 6/91 Four letters picked without replacement from uuutzknunktnntp. Give prob of picking 1 z, 1 k, 1 t, and 1 n. 8/455 Calculate prob of picking 1 n and 1 c when two letters picked without replacement from ccjjxccxn. 1/9 Four letters picked without replacement from cmxmmmmxmcmccmcm. Give prob of picking 4 m. 9/130 Calculate prob of picking 1 n and 1 p when two letters picked without replacement from piunnkuiiu. 2/45 Two letters picked without replacement from {g: 3, o: 2}. What is prob of picking 2 g? 3/10 Two letters picked without replacement from {r: 1, b: 6, d: 2, q: 1, v: 9}. What is prob of picking 1 b and 1 q? 2/57 Calculate prob of picking 2 o when two letters picked without replacement from cokkocckkckc. 1/66 What is prob of picking 2 p when two letters picked without replacement from {p: 4, b: 8, g: 3, k: 2}? 3/68 Four letters picked without replacement from vgvjpjngjygvy. What is prob of picking 3 g and 1 v? 3/715 What is prob of picking 1 e and 1 s when two letters picked without replacement from eseeseee? 3/7 Calculate prob of picking 1 c and 1 t when two letters picked without replacement from ctccccttlicctttcc. 27/68 Three letters picked without replacement from gccgccgcgcccccccgcg. What is prob of picking 2 c and 1 g? 156/323 Calculate prob of picking 1 u and 1 t when two letters picked without replacement from uuidteuuizieu. 5/78 Two letters picked without replacement from {d: 1, y: 1, v: 1, j: 2, q: 1, e: 2}. Give prob of picking 1 v and 1 y. 1/28 Calculate prob of picking 2 n when two letters picked without replacement from kznjmun. 1/21 Three letters picked without replacement from uwuftfsxfwuf. What is prob of picking 1 t, 1 s, and 1 u? 3/220 What is prob of picking 2 b and 2 k when four letters picked without replacement from {r: 3, t: 1, s: 1, k: 2, b: 4}? 1/55 What is prob of picking 2 c, 1 m, and 1 q when four letters picked without replacement from {m: 4, c: 2, j: 3, q: 1}? 2/105 Three letters picked without replacement from jdjsdsdjssjsjjsjsd. Give prob of picking 2 s and 1 j. 49/272 Three letters picked without replacement from {n: 7, j: 7, s: 2}. What is prob of picking 2 j and 1 s? 3/40 What is prob of picking 1 t and 1 u when two letters picked without replacement from {t: 4, s: 1, u: 6}? 24/55 Calculate prob of picking 1 d and 1 a when two letters picked without replacement from ageghgeajeggd. 1/39 What is prob of picking 2 x when two letters picked without replacement from {w: 1, a: 2, x: 6, b: 3}? 5/22 What is prob of picking 1 e and 3 u when four letters picked without replacement from {e: 3, u: 3}? 1/5 Three letters picked without replacement from bphhwxwxxxwkhbx. What is prob of picking 1 k, 1 h, and 1 b? 6/455 Calculate prob of picking 1 u and 1 n when two letters picked without replacement from nnnyaau. 1/7 What is prob of picking 1 r and 2 h when three letters picked without replacement from hrherrhttd?
{ "pile_set_name": "DM Mathematics" }
c What is the nearest to -0.7 in -4, -33, -1? -1 What is the closest to 1 in 0, 2/5, -0.2, -2? 2/5 What is the closest to 2 in -0.1, 5, 4, -3? 4 Which is the nearest to -3? (a) 4 (b) 0 (c) 5 (d) 0.1 b What is the closest to -1/57 in 0.02, -3, 1/5? 0.02 Which is the closest to 0.01? (a) -1 (b) -6 (c) 1/11 c What is the nearest to -3 in 10, 0.3, 1, -5? -5 What is the closest to -2 in 2/3, -4, 0.2? -4 Which is the nearest to 0.1? (a) 0.02 (b) -1.03 (c) 0 (d) -4 a Which is the nearest to -1? (a) -0.5 (b) 15 (c) 2/7 (d) -3/5 d Which is the closest to -0.1? (a) -1/9 (b) 1/4 (c) 3/11 (d) 5 a Which is the nearest to 0? (a) 2/7 (b) -3.6 (c) -3/5 (d) 0.06 d What is the nearest to 0 in -63, -0.1, 0.3? -0.1 Which is the closest to 3? (a) 1 (b) -5 (c) 27/7 c Which is the closest to -1/3? (a) 3 (b) -2 (c) -55 b Which is the closest to 0.1? (a) -4 (b) -0.8 (c) -1/6 (d) -4/3 c Which is the closest to 0.2? (a) 2 (b) 3/8 (c) -0.4 (d) 0 b What is the nearest to 2 in 172, 1, 0? 1 Which is the nearest to -0.1? (a) -1 (b) 0.5 (c) -0.5 (d) -3/38 d What is the nearest to -4 in -0.2, 7, 5? -0.2 What is the closest to 49 in 5, -1/3, 0.2? 5 What is the closest to -2/3 in -0.1, 1/5, -8, -18? -0.1 Which is the closest to 0? (a) -96/5 (b) -2/7 (c) -5/6 b What is the nearest to -0.4 in -5, -4, 9/7, 0? 0 What is the closest to -2 in 1/3, -3, 6, 4? -3 Which is the closest to 5/7? (a) 3 (b) 2/15 (c) -0.3 (d) 1 d Which is the closest to 2/5? (a) 4 (b) -0.5 (c) -115 b What is the nearest to 0.1 in -0.5, -0.16, -2/15, 2/9? 2/9 Which is the nearest to 0? (a) 3 (b) -4/11 (c) 31 b Which is the closest to 1/4? (a) 1.9 (b) 3/4 (c) -3 b Which is the closest to 1? (a) -1/2 (b) -1 (c) 1.9 (d) -4 c Which is the closest to -0.7? (a) -2/7 (b) -1 (c) -4 b Which is the closest to -2/7? (a) -0.04 (b) 1/15 (c) 0.5 (d) 2 a What is the nearest to -2/3 in -3, 1/2, 0.2, -48? 0.2 Which is the nearest to -21? (a) 0.5 (b) -0.1 (c) 64 b What is the nearest to -2 in 1/10, 0.2, 3/7, 1/21? 1/21 What is the closest to 1 in 0.87, 4, 3? 0.87 What is the closest to -2/3 in -1, 2/17, 0.8? -1 Which is the nearest to -8.6? (a) 0.2 (b) 0.1 (c) -4 c What is the nearest to -3 in -6/5, 5, 1/6? -6/5 What is the closest to -3 in -156, -3, -5? -3 Which is the nearest to -1/3? (a) -15 (b) -0.3 (c) -1/6 (d) 0.2 b Which is the closest to -1/3? (a) -2 (b) 2/3 (c) -1/12 (d) 5 c What is the nearest to 1/14 in -1.9, 1/8, 0.2? 1/8 What is the closest to 0 in 0.4, 376, -6, -5? 0.4 What is the closest to -33 in -5, -3/4, 8/7? -5 What is the nearest to 0 in -1/7, 0.1, -13, 5/3? 0.1 What is the nearest to -1 in 0.4, -2, 18, -0.1? -0.1 Which is the closest to -2/5? (a) 0.1 (b) 7 (c) 0 c What is the closest to -1 in 0.07, -1.1, 5, -5? -1.1 What is the closest to -5 in 13, 2, 3, -0.5? -0.5 What is the nearest to -1 in -3, 0.5, -11, -1/3? -1/3 Which is the nearest to -1? (a) -5 (b) 0.4 (c) -71 (d) -2/9 d What is the closest to -1 in -1, 0.1, -3, 3? -1 What is the closest to 2/5 in -5, 90, 1? 1 What is the nearest to 6 in 5, 0.4, -4, 2/3? 5 What is the nearest to -5 in 20, 2, -1, -3/7? -1 Which is the closest to 45? (a) -1 (b) 0.5 (c) -0.4 b Which is the nearest to -14? (a) -4 (b) 3 (c) -2 a Which is the closest to 0? (a) 3/5 (b) -1/82 (c) -4/3 b What is the nearest to -4/11 in 0.2, 0, 1, 0.07? 0 What is the nearest to 1/2 in 23, -4, 5/4, -0.2? -0.2 What is the nearest to 8 in 0.1, -4, 3/2, 4? 4 What is the nearest to 0 in -4, 1/2, -8? 1/2 What is the closest to 1 in -1633, 1/4, -1/4? 1/4 Which is the nearest to 0? (a) 9/5 (b) -3 (c) -10 a What is the closest to 10 in -0.2, 2, -3? 2 Which is the nearest to 13? (a) -25 (b) 0.5 (c) -2/5 b Which is the nearest to -20? (a) 0.4 (b) 2/11 (c) -5 (d) -0.8 c Which is the closest to -20? (a) 0.2 (b) -4 (c) 7 b What is the closest to -0.5661 in 2/9, -2/11, 0? -2/11 Which is the closest to -0.1? (a) -2/9 (b) 175 (c) -0.6 (d) 0.2 a What is the closest to 0.1 in 14, 3, 0.5, -4/7? 0.5 Which is the closest to -41? (a) -0.3 (b) 6 (c) 3 (d) 2/13 a What is the nearest to 4 in -4, -9, 2, -2? 2 What is the closest to 3/22 in 3/26, 5, 0.4? 3/26 What is the closest to -28/15 in -2/5, 2, 1/6? -2/5 What is the closest to 0.1 in 0.3, 5, 1444? 0.3 What is the nearest to -1 in -3/4, 0.2, -5, -1/8? -3/4 Which is the closest to 14? (a) -3/5 (b) 1 (c) -1/3 (d) 5 d What is the closest to -0.1 in -0.3, 0, 6, 4? 0 What is the closest to -2/9 in 0.3, 8, -17, -2/5? -2/5 Which is the closest to 0? (a) -1 (b) -1/5 (c) 8 b Which is the closest to 0? (a) 1/3 (b) 0 (c) -0.9 (d) 4/29 b Which is the closest to 0? (a) -0.16 (b) 1/2 (c) 2/69 c Which is the closest to -59? (a) -3 (b) 4 (c) -0.3 a What is the nearest to 1 in 0, 55.5, 5? 0 Which is the nearest to -0.16? (a) -5 (b) -4 (c) -3 (d) 1 d Which is the nearest to -3.052? (a) 5 (b) -2/5 (c) 1/4 b What is the nearest to -1 in -5, -0.3, 0.1, -1257? -0.3 What is the closest to -2.714 in 3, 1/9, -3/5? -3/5 Which is the nearest to -2/5? (a) 0.1 (b) -5 (c) 2/15 (d) 1 a What is the closest to -6 in 4, -43, 5/3, -0.1? -0.1 What is the closest to -0.1 in 1, 5.3, 0.2? 0.2 What is the nearest to 0 in 26/7, 0.5, -2/23? -2/23 Which is the nearest to 0.1? (a) -3 (b) 10.7 (c) -2/15 (d) -4 c What is the closest to 6 in 0.23, 0, 2/5, -0.3? 2/5 Which is the nearest to 0.06? (a) 3 (b) -1/22 (c) 0.3 b Which is the closest to 0? (a) 1 (b) 0.02 (c) -9 b Which is the nearest to 10? (a) -3 (b) 2/3 (c) -2/21 b Which is the closest to 1? (a) 3 (b) -3 (c) -2/5 c Which is the closest to -2/5? (a) -0.5 (b) 3 (c) 4 a What is the nearest to -2 in -2/13, 2/5, 1420, -5? -2/13 What is the nearest to 0 in -0.3, -0.5, 0.04, 0.2? 0.04 Which is the nearest to 1? (a) 0.5 (b) -0.2 (c) 3/7 (d) 0.036 a Which is the nearest to -17/2? (a) 2/7 (b) -0.21 (c) -4 c What is the closest to -1 in -0.6, -10/7, -5, 1/8? -0.6 Which is the closest to 0? (a) 1 (b) 0 (c) -0.4 (d) -0.8 b Which is the nearest to 0.2? (a) -2/7 (b) -2 (c) -36 (d) -1 a Which is the closest to -0.04? (a) -2 (b) 5 (c) 0.24 (d) -1/7 d Which is the closest to 0.1? (a) 0.1 (b) -2 (c) -5 (d) -0.37 a What is the closest to 3/8 in 5, -22, 0.1? 0.1 What is the closest to 1 in 2/5, 1/2, 0.3, 373? 1/2 What is the closest to -2 in -2/19, 2, 1? -2/19 Which is the closest to -1.6? (a) 2 (b) 0 (c) -0.1 (d) -0.16 d Which is the closest to 1? (a) 2 (b) -88 (c) 3 a What is the closest to 1/3 in 4, -2, -4/11? -4/11 What is the nearest to 2 in 2/11, 0.5, 16, 0? 0.5 Which is the closest to -1? (a) 2/19 (b) -2/41 (c) -0.07 c What is the closest to -4/233 in -0.6, 3, -5, 0.1? 0.1 Which is the closest to -0.1? (a) -1/2 (b) 0.4 (c) 134 a Which is the nearest to 90/13? (a) -1 (b) -2 (c) 0.4 c Which is the nearest to 0? (a) 3 (b) 1/3 (c) -2.9 (d) -2/11 d Which is the nearest to 0? (a) -0.04 (b) 1.2 (c) 1/3 (d) -0.4 a Which is the closest to 444? (a) 5 (b) 2 (c) 4 a What is the closest to 1.2 in -0.0823, -0.3, -0.2? -0.0823 What is the closest to -1 in -2/5, -1, -8? -1 What is the nearest to -1 in -3, 0.2, -1/4? -1/4 Which is the nearest to 1/3? (a) 4/3 (b) 2 (c) 14 (d) -1 a Which is the closest to -2/3? (a) 9 (b) 3/4 (c) -2/9 (d) 2 c What is the closest to 0.06 in -0.5, -2/7, 2/3, 3? -2/7 What is the closest to 8 in -1/2, 1, 3, -5? 3 Which is the closest to -3? (a) 0.3 (b) 12 (c) -2/19 c Which is the nearest to -0.1? (a) -2/9 (b) -0.1 (c) -6/113 (d) 8 b What is the closest to -1/95 in -3/4, 2/3, 2/7? 2/7 Which is the nearest to -2/7? (a) 2 (b) 4 (c) -4 a What is the closest to -3/8 in 33, -0.4, 3/2? -0.4 Which is the closest to -2.12? (a) -5 (b) 2 (c) 0 c What is the closest to -1 in 0.09, -1, 1/38? -1 What is the nearest to -2 in -2/11, 1, 1/4? -2/11 Which is the nearest to -1/4? (a) 2.09 (b) 1 (c) -0.1 c Which is the nearest to 0.1? (a) -5 (b) 9 (c) 3 (d) -0.2 d What is the closest to 0.4 in 2/25, 2/7, 0.3? 0.3 Which is the nearest to -2? (a) 5/4 (b) -15 (c) 1 (d) -1 d Which is the closest to -1/10? (a) 4 (b) -2 (c) 16 b Which is the nearest to 18? (a) 0 (b) -4 (c) -0.72 a Which is the nearest to 0? (a) 7/6 (b) 0.4 (c)
{ "pile_set_name": "DM Mathematics" }
/33)))**(14/3)/(r**(2/37)/(r*(r*r*r**25*r)/r)) assuming r is positive. r**(101848/3663) Simplify (x**9)**(2/27)/(x**(-2/15)/x**(-2/7)) assuming x is positive. x**(18/35) Simplify (p**(-1/4))**16/((p*p*p/((p**(-7)*p*p)/p)*p*p)/((p*p**(-2/5)/p*p*p)/p*p)) assuming p is positive. p**(-67/5) Simplify (n**(3/11)*n/n**(-25))**(3/43) assuming n is positive. n**(867/473) Simplify ((p**(2/11)/p*p/(p/(p**(-2/11)*p)))/(p/p**(-2/13)*(p*p**(2/5))/p*p))**39 assuming p is positive. p**(-498/5) Simplify a**15*a/(a*a**(-27)/a)*((a/(a*a/(a/(a/a**(3/8))))*a)/a)/(a**(-2)/a*a*a) assuming a is positive. a**(347/8) Simplify (k**(1/5)*k**11/k*k**(6/11)/k**5)**(-23/2) assuming k is positive. k**(-3634/55) Simplify (v*v**3)**(27/2)/(v*v**(3/7)*v)**35 assuming v is positive. v**(-31) Simplify w**(12/5)/w*w/w**18*w**7/w**(-30) assuming w is positive. w**(107/5) Simplify (c**(-2/49)/(c*c**(-1/4)))/(((c/c**26)/c)/(c**10*c)) assuming c is positive. c**(7097/196) Simplify (l*l*l**(2/5)*l**(-6))/(l**3*l/(l*l/(l*l**(-5)*l*l))) assuming l is positive. l**(-18/5) Simplify (((s*s/(s/((s*s*s/(s*s*s*s/(s**6*s)*s*s)*s)/s))*s*s)/s*s**(-1/2)*s)**(6/31))**8 assuming s is positive. s**(312/31) Simplify ((u*u/(u**(-7/6)/u*u))/(u/(u*u/(u/(u*u*u*u*(u/(u/(u/u**20)*u))/u))*u*u)))**(-9/10) assuming u is positive. u**(213/20) Simplify (((r**(-3/5))**(-13/5))**(2/197))**23 assuming r is positive. r**(1794/4925) Simplify ((i*i/(i/i**2))**27/(i**2)**26)**(-21) assuming i is positive. i**(-609) Simplify (a*a**(4/3)*a/(a/a**6))/(a**2*a)**47 assuming a is positive. a**(-398/3) Simplify (s**(7/5))**(-49)*(s/((s/((s/s**(2/7))/s))/s))**8 assuming s is positive. s**(-2201/35) Simplify (g**3/g*g)**38*g**9/(g*g**(-9/2)*g) assuming g is positive. g**(251/2) Simplify (d/d**(-18))**(-1/22)*(d*d**(-5/12))/d*d*d*d**(2/29) assuming d is positive. d**(3019/3828) Simplify (((l**(-7/3)*l*l*l)**(-9/4))**12)**(-3/7) assuming l is positive. l**(54/7) Simplify ((k*k**(-15)/k)/k*k*k*(k**12*k)/k)/(k**(-1/4)/(k/(k*k**(5/2)))) assuming k is positive. k**(-17/4) Simplify ((o**0)**(-25)/(o**(-2/3)/(o*o**(1/2)*o)))**31 assuming o is positive. o**(589/6) Simplify ((m/((m/m**19)/m))/m*m/(m**(-1/5)*m))/(m**(-2/9))**2 assuming m is positive. m**(884/45) Simplify ((n**(-3/4)*(n**(-1)/n)/n)**16)**(-12/5) assuming n is positive. n**144 Simplify ((g/(g*g**13))/g)**(4/7)/(g/(g*g*g*g**(-5)/g*g*g)*g*g*g**(1/4)*g*g) assuming g is positive. g**(-57/4) Simplify (g/g**0)**(2/7)*g**(2/23)/(g**2*g) assuming g is positive. g**(-423/161) Simplify (u*(u/u**(2/35)*u)/u)/(u/(u/u**(1/2)*u))*((u*u**(-1/11)*u)/u)/(u/(u**2*u)) assuming u is positive. u**(4121/770) Simplify (q/q**(3/7)*q)**24/(q**(-1/7)*q*q/q**(9/2)) assuming q is positive. q**(565/14) Simplify (q/q**(1/2)*q*q**(8/9))/(q**(-12/7)/q**(-20)) assuming q is positive. q**(-2003/126) Simplify (((((f*f**(1/2)*f)/f)/f)/f)**23*(f/(f**1/f))**(-1/70))**(1/32) assuming f is positive. f**(-403/1120) Simplify (j**4)**(-4/5)/(j/j**7*j**7) assuming j is positive. j**(-21/5) Simplify ((s/s**(-2))**(14/11)*(s**2)**26)**(-26) assuming s is positive. s**(-15964/11) Simplify (n**(1/9)/((n**(-1/2)/n)/n)*n**(-3/4)/(n**(-2/9)/n))**(-1/30) assuming n is positive. n**(-37/360) Simplify ((y/(y*y*y/y**(1/28))*y)/y)/y**1*(y*y*y**(10/11)/y*y)/(y*y**(3/4)) assuming y is positive. y**(-139/77) Simplify ((r*(r**(1/3)*r)/r)**(9/5)*(r**(2/11)*r)/((r**(-3)/r)/r))**(-6/17) assuming r is positive. r**(-2832/935) Simplify (d/d**(-9))**(4/31)/(d**(-11)*d**(23/4)/d) assuming d is positive. d**(935/124) Simplify (u/(u**(-17)/u))/(u*u/u**(-17)*u*u*u)*u**(-6/13)/u**(-31) assuming u is positive. u**(358/13) Simplify (((s/(s**(-19)/s))/s)/(s*s/(s*(s/s**(-2/5))/s)))/(s*s*s/(s*s**(-12)*s)*s*(s/(s*s/(s**(-3/11)*s)*s))/s) assuming s is positive. s**(422/55) Simplify ((p**6)**(1/3))**(2/3) assuming p is positive. p**(4/3) Simplify (v**(-10)/(v/(v/(v*v*v*v/(v/v**(-2/9)))))*(v/(v*v**(2/7)/v))**(-2/65))**(-38) assuming v is positive. v**(398354/819) Simplify (m**29/(m/(m/((m**(-24)/m)/m))*m))/(m**(-2/7)*m*m**(-3)/m) assuming m is positive. m**(401/7) Simplify (l**(-2/7))**(-15)/(((l*l*l**21)/l)/((l*l**(-2/15)*l)/l)) assuming l is positive. l**(-1769/105) Simplify (z**2*((z*((z/z**(-7))/z)/z)/z)/z*z)/(z**(-21)/(z**(6/23)*z)) assuming z is positive. z**(696/23) Simplify ((((f**(2/3)/f)/f)**2)**38)**(18/11) assuming f is positive. f**(-1824/11) Simplify (h**(-5/2))**(-31)*(h**(-7/6))**13 assuming h is positive. h**(187/3) Simplify o/o**(4/11)*o*o*o**(1/5)*(o/(o**5/o)*o)/(o/(o/((o**(-3/2)/o)/o)*o)) assuming o is positive. o**(587/110) Simplify (c**(-6/13)/(c*c**1*c))/(c**20)**(-2/19) assuming c is positive. c**(-335/247) Simplify ((i/i**(2/5)*i)/i*i*i**(-7))/(i**2/i)**(-3/47) assuming i is positive. i**(-1254/235) Simplify ((q*(q**(2/5)*q)/q)**(2/37)*(q**(4/5)*q)/(q*q/(q/q**(-9))*q))**(1/10) assuming q is positive. q**(821/925) Simplify (t*t/((t*t/(t*t/(t*t**2*t)))/t)*t*t)/(t**(13/3)*t)*((t/(t/(t/(t**(-11)/t*t))*t))/t)**23 assuming t is positive. t**(677/3) Simplify t**(-18/7)*t**(5/6)*(t/(((t/(t/((t*t/(t**(4/7)/t))/t)*t*t))/t)/t))**16 assuming t is positive. t**(2327/42) Simplify ((l/((l/l**(-2/3))/l))**(-25/3)/(l**(4/3)*l/(l*l**(4/3))*l))**(7/4) assuming l is positive. l**(-119/18) Simplify (a/(a/(a*a**(-1/5)*a*a)*a)*a*a)/(a*a*a**(2/11))*a**11/a*a*a*a/(a/(a/(a*(a/a**11)/a)*a)) assuming a is positive. a**(1409/55) Simplify (((c*c**(-1))**(-45))**4)**(2/31) assuming c is positive. 1 Simplify v/v**(-39)*v/(v*v**(-13/5))*v**34/v**6 assuming v is positive. v**(353/5) Simplify p**16*p*(p*p**(-27)/p)/p*p**(-31)*p/p**(-12) assuming p is positive. p**(-29) Simplify (b**(-18/11)*b)**2/(b**(-4))**(2/41) assuming b is positive. b**(-486/451) Simplify (((((h*h**(4/11))/h)/h)/h*h)/h*h**(-7)/h*(h*(h/(h*h**1*h))/h*h*h)**(-44))**32 assuming h is positive. h**(-3392/11) Simplify (t*t/(t/t**30))**(-30/11)*t*t**(2/13)*t*t**31 assuming t is positive. t**(-7349/143) Simplify (r**(-9)/((r**(-3/10)/r)/r))/(r/(((r*(r*r/(r**25/r))/r*r*r)/r)/r)*r*r**(-11)/r*r*r) assuming r is positive. r**(-207/10) Simplify (g*g/(g*g/(g/g**(-1/4))))**45/((g/g**(-1/23)*g)/g)**(-2/37) assuming g is positive. g**(191667/3404) Simplify (w**(-3/7))**(-1/5)*(w*w*w*w**(-2)*w)**(1/4) assuming w is positive. w**(41/70) Simplify (b**(1/4)/b)**(-4/17)*(b/(b**4*b))/(b**(1/6)/b) assuming b is positive. b**(-305/102) Simplify d*d/d**(-2/25)*d**(-15)*d/d**(-2/19)*d*d/d**(-13) assuming d is positive. d**(1513/475) Simplify (j**25*j*j*j**(-1)*j)/(j**(-8/7)*j/(j**0*j)) assuming j is positive. j**(197/7) Simplify (i**(11/4)*i)**25*(i/(i*i/(((i/i**(-5))/i)/i)))**(7/10) assuming i is positive. i**(1917/20) Simplify (t*t/t**14)**(-32)/(t*t*t**(-6/13)*t*t**(-3/2)/t) assuming t is positive. t**(9983/26) Simplify ((p**2)**(-16/3)/(p**6*p/(p/p**(2/3))))**13 assuming p is positive. p**(-676/3) Simplify ((v*v/v**(-8))/(v/(v*v/(v/v**(2/7)))*v))/((v/v**(-3))/(v/v**(-1/8))) assuming v is positive. v**(359/56) Simplify (((f**(2/19)*f)/((f/f**(2/13))/f))/(f**(2/11)/f*f*f/f**(-1/6)*f))**(22/7) assuming f is positive. f**(-2537/741) Simplify (s/(s*(s/(((s*s/s**(-13))/s)/s))/s))/(s/(s*s*(s/(s*s**23))/s))*(s*s**(-3/11))/((s*s**(2/25))/s) assuming s is positive. s**(-2572/275) Simplify n*n/n**(-2/5)*n**(5/4)*n**(-1/3)/(n/n**(1/24)*n) assuming n is positive. n**(163/120) Simplify ((j/((j/((j/(j**28*j)*j*j)/j))/j*j))/j**(-15))/((j**(5/11)*j)/j*j*j*j**(-11)/j) assuming j is positive. j**(-27/11) Simplify y*y**(-35)*y/y**(20/3)*(y*y/((y*y/y**19*y)/y))/(y/y**(4/3)) assuming y is positive. y**(-61/3) Simplify (v/(v**(-1/5)/v))/v**(7/6)*v**(5/2)/((v/(v*v/(v*v**(-15)*v)*v)*v)/v) assuming v is positive. v**(278/15) Simplify q**4/q*((q/q**(1/2)*q)/q*q*q*q)/q*(q/((q*q**(-1/7))/q))**(-43) assuming q is positive. q**(-611/14) Simplify ((m*(m*m/(m**13/m*m)*m)/m)/m**15)/(m*m**12*m**(-5)) assuming m is positive. m**(-33) Simplify (u**(1/3))**(-13)*((((u*u*u**(-4/7)*u)/u*u)/u*u)/u)**(1/32) assuming u is positive. u**(-1441/336) Simplify u**(2/3)*u*u**2*u**(1/18)/(u/u**(-9)) assuming u is positive. u**(-113/18) Simplify h**(-12/11)/h*h*h*(h**22*h)/h*h*(h**(-6/13)*h)**(-7/3) assuming h is positive. h**(9289/429) Simplify (((h**0/h*h)**(-1))**42)**5 assuming h is positive. 1 Simplify (d**(-2))**41/(((d/d**(-11/5)*d)/d)/d**(-12)) assumi
{ "pile_set_name": "DM Mathematics" }
. 6*sqrt(2) + 81 Simplify 5 + -6*-5*3*sqrt(1900). 5 + 900*sqrt(19) Simplify 2*3*sqrt(1377)*-3*4. -648*sqrt(17) Simplify 6*(sqrt(5) + 1) + (sqrt(320) - sqrt(320)*-2)**2 - -2*(-1*1*sqrt(5) - sqrt(5))**2*-2. 6*sqrt(5) + 2806 Simplify -3 + (sqrt(720) - sqrt(45)) + -5 + ((sqrt(150) - 2*sqrt(150))/sqrt(10) + sqrt(15))/(5*(sqrt(6)/sqrt(2) + sqrt(3)) + sqrt(3)). -8 + 9*sqrt(5) Simplify 5 + ((5*(0 + sqrt(304)))**2 - (sqrt(19) + sqrt(76)/sqrt(4)*5)**2*-1) + 1. 8290 Simplify 4*(0 + 3*(-1 + sqrt(304))**2) + 2. -96*sqrt(19) + 3662 Simplify (-2*sqrt(400))/sqrt(2) + (sqrt(14)/((sqrt(7) + 1*sqrt(7))*-6))**2. -20*sqrt(2) + 1/72 Simplify (sqrt(612) - (sqrt(612) + 3 + 1 + sqrt(612)) - (-1 + (1 + sqrt(612) - sqrt(612))))**2 + (-4*(sqrt(612) + 1*sqrt(612)))**2*4 + -2. 48*sqrt(17) + 157298 Simplify 0 + -4*-5*(6*(sqrt(11) - (sqrt(275) - sqrt(11)))**2 - (sqrt(44)/(sqrt(8)/sqrt(2)))**2)*4. 46640 Simplify ((sqrt(99) + 1 + sqrt(99))*-6*4 + (sqrt(99)*1*6 - -2*(sqrt(99) + 1)))**2. 5280*sqrt(11) + 158884 Simplify ((sqrt(176)/sqrt(36))/(sqrt(8)/sqrt(2)*3) + 1)**2. 2*sqrt(11)/9 + 92/81 Simplify (sqrt(121)/(sqrt(11) - sqrt(704)*2) - ((sqrt(11) + 0)*3 + 3))**2. 92*sqrt(11)/5 + 25301/225 Simplify (((sqrt(99) + sqrt(99)*-2*6 - sqrt(99))*-3)/(sqrt(99)/(2*sqrt(891) - sqrt(891) - sqrt(11))))**2*1. 912384 Simplify (1*(sqrt(306) + sqrt(306) + -4*sqrt(306) + sqrt(306))/sqrt(9))/(sqrt(72)/sqrt(4) - (sqrt(16) + sqrt(32)/sqrt(2) - sqrt(16))/sqrt(8)). -sqrt(17)/2 Simplify (-3*((sqrt(114)*-2 - sqrt(114))*-1 + sqrt(114)))/((-5*sqrt(72)*-2)/sqrt(12)). -6*sqrt(19)/5 Simplify sqrt(343)*2*-5 + sqrt(343) + sqrt(343) + 3 + 1*(1*sqrt(7)*-4 + sqrt(112)*-1). -64*sqrt(7) + 3 Simplify ((6*sqrt(30)*-1)/((sqrt(36) - (sqrt(36) + 1*sqrt(36)))/sqrt(6) - sqrt(6)) + 1*6*(sqrt(180) + sqrt(180) + sqrt(180) + 1*sqrt(180)))**2. 108045 Simplify (sqrt(120) + (sqrt(120)*1*5 - sqrt(120)) + sqrt(120))/(sqrt(18)/(sqrt(3)*1) + sqrt(6)). 6*sqrt(5) Simplify (1 + sqrt(2880))**2 + -5*-2*sqrt(5)*-2. 28*sqrt(5) + 2881 Simplify 2*(-4*(sqrt(95) + (sqrt(95) - -1*sqrt(95))))/(-4*sqrt(25)/sqrt(5)). 6*sqrt(19) Simplify (sqrt(45)/sqrt(80))/(sqrt(33)/sqrt(396)). 3*sqrt(3)/2 Simplify (sqrt(18)/sqrt(2)*-1)/(sqrt(363)*1)*6. -6*sqrt(3)/11 Simplify 2 + (2 + sqrt(2))**2 + 0 + ((sqrt(2) + sqrt(50) - sqrt(2))**2 + 2)*1. 4*sqrt(2) + 60 Simplify (sqrt(208) - (sqrt(208)*-2)**2) + -4 - (sqrt(208) + sqrt(208) + sqrt(208) + -1 + 1). -836 - 8*sqrt(13) Simplify (6*-4*-2*-5*sqrt(176))**2. 10137600 Simplify 0 + sqrt(99)/(sqrt(9) + 1*sqrt(9)) + 2 + sqrt(11)*-1 + -2 + -5. -5 - sqrt(11)/2 Simplify (6*((1 + sqrt(125) - sqrt(125))*5 + -2*(sqrt(125) + sqrt(125)*1))*-2)**2 + 3. -28800*sqrt(5) + 291603 Simplify -4 + (sqrt(500) + (sqrt(500) - sqrt(500)*2) - sqrt(500)) + 5 + -4. -10*sqrt(5) - 3 Simplify (-3 + sqrt(76))**2*-4 + (sqrt(931) - (2 + sqrt(931) + 0))**2. -336 + 48*sqrt(19) Simplify (sqrt(104)/(sqrt(24)/sqrt(3)*3)*-1)**2 - -3*(-1 + (sqrt(208))**2*-3). -16862/9 Simplify (sqrt(567) - (sqrt(567) - (sqrt(567) + 1 + 0)**2) - (0 + 2 + sqrt(567))**2)*-4. 12 + 72*sqrt(7) Simplify ((-3 + sqrt(972))*-5*6)**2. -97200*sqrt(3) + 882900 Simplify ((sqrt(208)*-2 - sqrt(208)) + -1 + (sqrt(208)*-4 - sqrt(208) - sqrt(208)) + -5 + -3)**2. 648*sqrt(13) + 16929 Simplify (4*(sqrt(612) + 0 - sqrt(612)) + (sqrt(612) - -6*(2 + sqrt(612))) + -3)**2. 756*sqrt(17) + 30069 Simplify (sqrt(384)*-2)/(sqrt(12) - (sqrt(768) - ((-2*sqrt(768) - sqrt(768)) + sqrt(768)) - sqrt(768))). 8*sqrt(2)/15 Simplify ((4*sqrt(132) - sqrt(132))/sqrt(12) - (1 + sqrt(11) + 0))**2 + -1. -4*sqrt(11) + 44 Simplify (5 + sqrt(8)/sqrt(4) + -1*sqrt(50) + 5*(2 + sqrt(2)*-1 + sqrt(2)))**2. -120*sqrt(2) + 257 Simplify (-4 + (sqrt(13) - sqrt(208)) + sqrt(13) + (sqrt(468) - -2*sqrt(468)) + -4 + 2)**2. -192*sqrt(13) + 3364 Simplify 5*(-6*(sqrt(1573) + -2)*-3)**2. -71280*sqrt(13) + 2554740 Simplify ((sqrt(70) + (sqrt(70)*-1 - sqrt(70)))*4 - 2*sqrt(70)*-1)/(5*(sqrt(810) + (sqrt(810) - 2*sqrt(810))) + sqrt(810)). -2*sqrt(7)/9 Simplify (2 + ((-2*sqrt(176))**2 + 4 - sqrt(176) - sqrt(176)) + -2 + sqrt(176) + sqrt(176)*-2)*4 + -2. -48*sqrt(11) + 2830 Simplify 2 + 5*(sqrt(5) + (-1*sqrt(5))**2) + 4 + 2*sqrt(405)*-4*1. -67*sqrt(5) + 31 Simplify (sqrt(78)/(sqrt(24)/sqrt(4)) + (sqrt(13) - (sqrt(117) + 2)) + -5 + (sqrt(13) - (-5*(-1 + sqrt(13) - sqrt(13)) - sqrt(13))))**2. -24*sqrt(13) + 157 Simplify -6*sqrt(33)/(sqrt(11)*-1) + (sqrt(150)/(1*sqrt(10)))/sqrt(5). 7*sqrt(3) Simplify 2 + (sqrt(108)*-2)/((2*sqrt(99))/sqrt(11)) + -1. -2*sqrt(3) + 1 Simplify ((sqrt(495) + -2*sqrt(495))/(sqrt(20)/sqrt(4)*-5))**2. 99/25 Simplify (-1*(sqrt(208) - (sqrt(208) + sqrt(208)*1))/(1*sqrt(144) - sqrt(144) - sqrt(144)))**2 + 1. 22/9 Simplify ((sqrt(850)*4*-3 - sqrt(850))/(sqrt(162)*-1 + sqrt(2) + (sqrt(2) - (sqrt(2) - sqrt(450)))))**2. 71825/49 Simplify (-3 + 0 + sqrt(847) + 2 + (sqrt(847)*-1 + sqrt(847) + sqrt(847) + -4 - sqrt(847) - sqrt(847)))**2. 25 Simplify sqrt(85)/(-2*sqrt(5)) + (1 + sqrt(2057))**2 + 2. 43*sqrt(17)/2 + 2060 Simplify (1*(3*(sqrt(176)/sqrt(4) + sqrt(44)) - (sqrt(1980) - (sqrt(1980) - ((sqrt(1980)*-2 - sqrt(1980)) + sqrt(1980))))/sqrt(5)))**2*6. 38016 Simplify -2*(-2*(sqrt(325) + 3) + -4). 20 + 20*sqrt(13) Simplify 5*(sqrt(1053)*-1 + 2 + 3). -45*sqrt(13) + 25 Simplify sqrt(156)/sqrt(3) + 4 + -4*(sqrt(1300) + -2)**2. -5212 + 162*sqrt(13) Simplify (4*(sqrt(931) + 2))**2 - (sqrt(931) + -1 + (sqrt(931) - (sqrt(931) + 0)))**2. 462*sqrt(19) + 14028 Simplify (-1*sqrt(13)*5 + 0 + sqrt(117) + 5 + sqrt(52)/sqrt(4)*-5)**2. -70*sqrt(13) + 662 Simplify -4*(-1*sqrt(102)*5)/(sqrt(30)/(sqrt(5)*2)) + -2. -2 + 40*sqrt(17) Simplify -4 + (sqrt(77)*-1*3 - sqrt(77))/(sqrt(7) + sqrt(35)/(sqrt(15)/sqrt(3)) + sqrt(7)). -4*sqrt(11)/3 - 4 Simplify (-1*(5 + sqrt(252)*-1 + 5 + -5)*-5)**2. -1500*sqrt(7) + 6925 Simplify ((3*((-4*sqrt(1452) - sqrt(1452) - sqrt(1452)) + sqrt(1452) + sqrt(12) - sqrt(12)))/(sqrt(30)/(sqrt(35)/(sqrt(7) - sqrt(28) - sqrt(7)))))**2. 27225/2 Simplify (5*(sqrt(110) + 3*sqrt(110)*4 - sqrt(110) - sqrt(110))/((sqrt(30) + -1*sqrt(30) - sqrt(30))/sqrt(3)))**2. 33275 Simplify 1*((1*sqrt(1100)*5)**2 + -1 - (2*sqrt(1100)*-4 + 3 + sqrt(1100) + sqrt(1100) + -1)**2). -12105 + 240*sqrt(11) Simplify ((1*(sqrt(240) - sqrt(240)*-1) + sqrt(240) - sqrt(240) - sqrt(240))/sqrt(4))/(1*sqrt(972)*5). sqrt(5)/45 Simplify ((sqrt(405)*1*6 - ((sqrt(405) - (-1 + sqrt(405) + sqrt(405) + 0 - sqrt(405))) + sqrt(405))) + (-1*sqrt(405) + 5)*-1)**2 + -1. -648*sqrt(5) + 14615 Simplify (0 + ((sqrt(98) - (sqrt(98) + 1*sqrt(98) + sqrt(98)))/sqrt(2))/(-3*-1*sqrt(7) - sqrt(7) - sqrt(7)))**2. 28 Simplify 3 + (sqrt(119)*3)/sqrt(7) + ((3 + sqrt(17))*6)**2 + 1. 219*sqrt(17) + 940 Simplify (sqrt(225)/(-2*sqrt(5)))/(sqrt(4374)/sqrt(6)) + -2. -2 - sqrt(5)/18 Simplify ((((sqrt(51) + sqrt(51)*1)*-4 - sqrt(51))*5)/(sqrt(48)*-1 - sqrt(12)/(sqrt(16)/sqrt(4))))**2. 1377 Simplify -3 + 2*-2*sqrt(288) + (sqrt(288) - (-3 + (sqrt(288)*1 - sqrt(288)))) + 1*(2 + sqrt(288)*1 + sqrt(288)). -12*sqrt(2) + 2 Simplify (sqrt(162) - (-2 + sqrt(162)))**2 + 4 - (1 + sqrt(2) + -5 + sqrt(2) + 5). -2*sqrt(2) + 7 Simplify (4 + (sqrt(1500)*2 - sqrt(15))/(-4*sqrt(12)/sqrt(4)) + -3)**2. -19*sqrt(5)/2 + 1821/16 Simplify (sqrt(136) - -6*(sqrt(136) + -2*sqrt(136)))/(sqrt(40)/sqrt(5)*1)*1. -5*sqrt(17) Simplify (1*sqrt(153)*1*3*-1 + 4)**2. -72*sqrt(17) + 1393 Simplify ((1 + 1 + sqrt(891)*1)*-2 + 5 + 3)**2. -144*sqrt(11) + 3580 Simplify ((sqrt(520)*-2)/sqrt(10))/sqrt(4) + 2 + -1. -2*sqrt(13) + 1 Simplify (sqrt(1053) + 3)*2*-4*4. -288*sqrt(13) - 96 Simplify 5*((sqrt(6)/sqrt(3)*5 - sqrt(2))**2 - 4*sqrt(2)*1)*-2. -320 + 40*sqrt(2) Simplify (2 + (-2*-2*sqrt(34)*-2)/(sqrt(14)/(2*sqrt(175) + sqrt(175))))**2. -480*sqrt(17) + 244804 Simplify -5 + -4*sqrt(99) - 4*(sqrt(99) + 1 - sqrt(99))**2. -12*sqrt(11) - 9 Simplify (sqrt(135)*5)/((sqrt(25) - sqrt(50)/sqrt(2))/sqrt(5) + sqrt(5)) + 5. 5 + 15*sqrt(3) Simplify (1*sqrt(1100)*2)/(sqrt(64)*-1*-6 - sqrt(64) - sqrt(64)). 5*sqrt(11)/8 Simplify ((sqrt(7) + 0)*2 - ((sqrt(21)/sqrt(3) + sqrt(7) + sqrt(7))*1 + sqrt(7)) - sqrt(14)/(sqrt(12)/(sqrt(18)/sqrt(3) + sqrt(6))))**2. 112 Simplify -3*(3 + -2*sqrt(363) + -3). 66*sqrt(3) Simplify (sqrt(252) + 2 + -3 - (sqrt(252)*-3 + -4 - sqrt(252)))**2. 180*sqrt(7) + 6309 Simplify (2*1*sqrt(110) - sqrt(110))/(sqrt(10) - (sqrt(120)/sqrt(108)
{ "pile_set_name": "DM Mathematics" }
6)*2 + sqrt(156))/sqrt(12). 13*sqrt(13)/4 Simplify (sqrt(19) - (sqrt(19) + (-1*sqrt(19)*4)**2)) + sqrt(152)/sqrt(72). -304 + sqrt(19)/3 Simplify -5*(sqrt(19) - (sqrt(19) + sqrt(133)/sqrt(7))*-1). -15*sqrt(19) Simplify (sqrt(288) + sqrt(288)*-2)*2. -24*sqrt(2) Simplify (sqrt(275) - (sqrt(275) + 0))*-6. 0 Simplify sqrt(1053) + -4 + 1 + sqrt(1053). -3 + 18*sqrt(13) Simplify sqrt(2) + -4 + -6*sqrt(2) + 2. -5*sqrt(2) - 2 Simplify sqrt(51)/(sqrt(18)/sqrt(24))*6. 12*sqrt(17) Simplify 4*(3*(sqrt(8) - sqrt(2)) - sqrt(2) - sqrt(2))*1*6. 24*sqrt(2) Simplify sqrt(51)/(sqrt(363)*-2). -sqrt(17)/22 Simplify ((sqrt(90) + (sqrt(90)*1 - sqrt(90) - sqrt(90)) - sqrt(90)) + sqrt(90))/(sqrt(5) - (sqrt(80) + sqrt(80)*-2 + sqrt(80) - sqrt(80))). 0 Simplify (sqrt(175) - (sqrt(175) - (sqrt(175) + (sqrt(175) - (sqrt(175)*1 - sqrt(175) - sqrt(175)))))*2)**2*-6. -26250 Simplify (sqrt(425) + 4 + 2*sqrt(425) - sqrt(425))*-5. -50*sqrt(17) - 20 Simplify (3 + (sqrt(180) - (5*sqrt(180) + -3)))**2. -288*sqrt(5) + 2916 Simplify (2*(sqrt(91) - sqrt(91)*-3) - sqrt(91))/sqrt(7). 7*sqrt(13) Simplify (sqrt(17) + 2*sqrt(612))**2 + -3*sqrt(17)*5 + sqrt(17). -14*sqrt(17) + 2873 Simplify 3*(sqrt(99)*2 + -5). -15 + 18*sqrt(11) Simplify -2*(-1 + sqrt(1331)). -22*sqrt(11) + 2 Simplify (sqrt(77) + ((sqrt(77) - (sqrt(77) - (sqrt(77)*1 + sqrt(77) - sqrt(77)))) + sqrt(77))*4)/(4*((sqrt(55)/sqrt(5) - sqrt(11)) + sqrt(11))). 9*sqrt(7)/4 Simplify sqrt(24)/sqrt(768) + sqrt(14)/(sqrt(35)/sqrt(5) + sqrt(7)). 5*sqrt(2)/8 Simplify (1*sqrt(480)/sqrt(10))**2. 48 Simplify 1 + -2*sqrt(44). -4*sqrt(11) + 1 Simplify 2*(sqrt(3) + (sqrt(3) - (sqrt(147)*1)**2)). -294 + 4*sqrt(3) Simplify -2*((sqrt(1331)*-1)**2 + sqrt(11)). -2662 - 2*sqrt(11) Simplify (sqrt(231)/(sqrt(21)/sqrt(3)))/sqrt(11). sqrt(3) Simplify -2 + (2 + sqrt(1216) - sqrt(1216)). 0 Simplify 1 + 3 + ((sqrt(19) - -2*sqrt(57)/sqrt(3))**2 - (sqrt(19) - (sqrt(19)*2)**2*-6)). -281 - sqrt(19) Simplify -4 + 5*sqrt(130)/sqrt(90)*-5. -25*sqrt(13)/3 - 4 Simplify -5*(sqrt(108) + 1). -30*sqrt(3) - 5 Simplify 5*sqrt(704) - (sqrt(11) + 5*(sqrt(11) - (sqrt(176) - sqrt(11)))). 49*sqrt(11) Simplify 1 + -3*sqrt(48)*2. -24*sqrt(3) + 1 Simplify (sqrt(84) + 3*sqrt(84)*-1)/(sqrt(108)/sqrt(81)). -6*sqrt(7) Simplify (-5*1*sqrt(85))/(-5*sqrt(80)). sqrt(17)/4 Simplify sqrt(13)*-2*-6 - (sqrt(13) - (sqrt(1053)*-1 - sqrt(13))). sqrt(13) Simplify ((sqrt(1331) + -1)*5)**2. -550*sqrt(11) + 33300 Simplify -1 + 3*sqrt(17)*1 + sqrt(136)/(sqrt(56)/sqrt(7)). -1 + 4*sqrt(17) Simplify sqrt(363) + (sqrt(363) - (3 + sqrt(363) + 0)) + sqrt(363) + sqrt(363). -3 + 33*sqrt(3) Simplify sqrt(132)/(-3*sqrt(12)*-2 - sqrt(12))*-2. -2*sqrt(11)/5 Simplify (4 + sqrt(13)*1 + -5)**2. -2*sqrt(13) + 14 Simplify (sqrt(68)/sqrt(4) + -2)*-6 - (2 + 2*sqrt(1377)). -24*sqrt(17) + 10 Simplify 0 + (sqrt(1331) - (sqrt(1331) + sqrt(1331)*-4 - sqrt(1331))). 55*sqrt(11) Simplify sqrt(1872) + -1 + ((sqrt(91)*1 + sqrt(91))/sqrt(7))**2. 12*sqrt(13) + 51 Simplify sqrt(3) - (3*((sqrt(3) - sqrt(12)/sqrt(4)) + sqrt(3)) + sqrt(3) + sqrt(3)) - ((0 + sqrt(3))*-5)**2. -75 - 4*sqrt(3) Simplify sqrt(25)/(sqrt(15)/sqrt(3)*4). sqrt(5)/4 Simplify (sqrt(500) - (3 + sqrt(500) + 4*sqrt(500) + sqrt(500) + sqrt(500)))**2 + 5. 360*sqrt(5) + 18014 Simplify (-3*sqrt(49)*-2)/sqrt(7). 6*sqrt(7) Simplify sqrt(34)/sqrt(128) + -2. -2 + sqrt(17)/8 Simplify 2*sqrt(99) + sqrt(55)/sqrt(5)*-6. 0 Simplify (5 + sqrt(5) + 0 - (sqrt(5) + 0 + sqrt(10)/sqrt(2)))**2. -10*sqrt(5) + 30 Simplify -2 + (-2 + 0 + sqrt(2450) - sqrt(2450))**2. 2 Simplify -1 + (sqrt(76) - sqrt(76)*-2*5)**2. 9195 Simplify 0 + -1*(sqrt(1088) + 2)**2. -1092 - 32*sqrt(17) Simplify -5*(0 + sqrt(48))**2. -240 Simplify sqrt(396) + 0 + 5 - (1*sqrt(396) + 1). 4 Simplify 4*(-4*sqrt(108))/(sqrt(256)*2 - sqrt(4)). -16*sqrt(3)/5 Simplify 3 + (sqrt(96)/sqrt(4))/sqrt(8). sqrt(3) + 3 Simplify (sqrt(198)/(sqrt(9) + sqrt(18)/sqrt(2)))/(sqrt(11) - sqrt(44)/(sqrt(4)*-3)). 3*sqrt(2)/8 Simplify (3 + ((sqrt(143) - sqrt(143)*-1)/sqrt(11) - sqrt(13)) + 4)**2. 14*sqrt(13) + 62 Simplify sqrt(400)/(sqrt(98) + sqrt(98)*1). 5*sqrt(2)/7 Simplify 1 + sqrt(425) - (-4*sqrt(272))**2. -4351 + 5*sqrt(17) Simplify (-2 + (sqrt(176) - -2*sqrt(176))*6 + 4)**2. 288*sqrt(11) + 57028 Simplify -1 + sqrt(13) + 0 + -1. -2 + sqrt(13) Simplify ((sqrt(12)/sqrt(150) - sqrt(2)) + -2)**2. 16*sqrt(2)/5 + 132/25 Simplify 1*(sqrt(192) - -1*sqrt(192)). 16*sqrt(3) Simplify sqrt(14)/(sqrt(112) + 1*sqrt(112) + sqrt(7)). sqrt(2)/9 Simplify (sqrt(20) + 3 + -5)**2. -8*sqrt(5) + 24 Simplify (sqrt(152) + 3*sqrt(152))/sqrt(8) - (sqrt(19) + sqrt(190)/(sqrt(10)*-1)). 4*sqrt(19) Simplify 2 + (sqrt(448) + sqrt(448) + -1 + sqrt(448))**2. -48*sqrt(7) + 4035 Simplify sqrt(19) + -6*(sqrt(19) - sqrt(76)/sqrt(4)) + sqrt(19) + 0. 2*sqrt(19) Simplify 1 + -5 + 0 + sqrt(175) + 0. -4 + 5*sqrt(7) Simplify ((sqrt(187) - -1*sqrt(187)*-1)/sqrt(11))**2. 0 Simplify ((sqrt(78) + (sqrt(78) - 5*(sqrt(78) + 2*sqrt(78) + sqrt(78) - sqrt(78))))/sqrt(6) + (3 + -1*sqrt(13) + sqrt(13))*3)**2. -234*sqrt(13) + 2278 Simplify (sqrt(17) - (sqrt(119) + sqrt(119)*-2)/sqrt(7)) + sqrt(136)/sqrt(8) + 5. 5 + 3*sqrt(17) Simplify (sqrt(108) + sqrt(3))*2. 14*sqrt(3) Simplify ((sqrt(605) - (-1 + sqrt(605)))*5)**2. 25 Simplify 2*(2*sqrt(612))**2 + sqrt(612). 6*sqrt(17) + 4896 Simplify (sqrt(15) + (sqrt(15) - (sqrt(15) - sqrt(30)/sqrt(2)))*-5)/sqrt(5). -4*sqrt(3) Simplify 1 + (sqrt(143)*-2*5)/(sqrt(33)/sqrt(3)*2). -5*sqrt(13) + 1 Simplify -3*(-6*sqrt(88)/sqrt(11)*-1)**2. -864 Simplify (sqrt(119) - ((-2*sqrt(119) - sqrt(119)) + sqrt(119) + sqrt(119)))/sqrt(7)*-6. -12*sqrt(17) Simplify -1 + (sqrt(104)/(sqrt(12)/sqrt(6)))/sqrt(4). -1 + sqrt(13) Simplify -4*(sqrt(16)/sqrt(32) + 5)*3. -60 - 6*sqrt(2) Simplify -2*sqrt(128) + 1 + sqrt(6)/sqrt(3) + -3. -15*sqrt(2) - 2 Simplify ((sqrt(20) - sqrt(60)/sqrt(3))**2 + (sqrt(35)/(1*sqrt(7)) - sqrt(5)))*-3. 0 Simplify (-5*(sqrt(119) - sqrt(119)*1 - sqrt(119)))/(sqrt(28)/(sqrt(4)*-1)). -5*sqrt(17) Simplify sqrt(125)*-1 - -6*(-2 + sqrt(5)). -12 + sqrt(5) Simplify (-2*sqrt(114)*6)/((sqrt(24) + sqrt(6))*-1). 4*sqrt(19) Simplify (((sqrt(45) - (sqrt(45) + sqrt(180)/sqrt(4)))*-5 - sqrt(45))/(sqrt(225)*-2))**2. 4/5 Simplify -1 + -2 + sqrt(208). -3 + 4*sqrt(13) Simplify (sqrt(224)*2 - sqrt(56))/sqrt(512). 3*sqrt(7)/8 Simplify sqrt(78)/((sqrt(60)*1)/sqrt(10)). sqrt(13) Simplify -1*((sqrt(192) + 0 - sqrt(192) - sqrt(192))**2 + sqrt(48)*5)*-2. 40*sqrt(3) + 384 Simplify ((sqrt(11) - sqrt(99)) + -5 + 1)**2 + -4. 16*sqrt(11) + 56 Simplify ((sqrt(8) - 1*sqrt(72))/sqrt(4) + -4 + sqrt(4)/(sqrt(4)/sqrt(2)))**2. 8*sqrt(2) + 18 Simplify (sqrt(245) + -2)**2 + 0 + 2 + sqrt(245)*-1. -35*sqrt(5) + 251 Simplify (((sqrt(133)*-1 - sqrt(133))*1)/sqrt(7))**2 + -5*(-2*sqrt(2736) - sqrt(19)). 76 + 125*sqrt(19) Simplify (1*sqrt(77)/(sqrt(66)/(sqrt(12)/sqrt(2) - sqrt(6) - sqrt(6))))**2 + 3. 10 Simplify (1*sqrt(1400))/(-2*sqrt(50)). -sqrt(7) Simplify (3*sqrt(99)*-2)/(sqrt(9) + sqrt(9) + (1*sqrt(9) + sqrt(9))*-2). 3*sqrt(11) Simplify sqrt(17)*-1 + 3 - (sqrt(272) + 3). -5*sqrt(17) Simplify ((sqrt(114) + sqrt(114)*-1)*2)/(sqrt(294)*1 + sqrt(6)). 0 Simplify (sqrt(98)*-2 - sqrt(2) - sqrt(2) - 1*(sqrt(2) + -1 - sqrt(2)))*1. -16*sqrt(2) + 1 Simplify (sqrt(300) - (sqrt(300) - -1*(sqrt(300) + 1)) - sqrt(300) - (sqrt(300) + -1 + -4))**2. -240*sqrt(3) + 2716 Simplify 5 + -2*-2*sqrt(396). 5 + 24*sqrt(11) Simplify sqrt(1216) + 1 + 1. 2 + 8*sqrt(19) Simplify (sqrt(72) + 5*(2 + sqrt(72)))**2*3. 2160*sqrt(2) + 8076 Simplify (2*sqrt(32) + sqrt(800))**2. 1568 Simplify (2 + sqrt(18))*6. 12 + 18*sqrt(2) Simplify -4 + 5 + sqrt(108) + -1 + 2. 2 + 6*sqrt(3) Simplify (sqrt(612) + (sqrt(612) - (sqrt(612) + 1)) + sqrt(612) - sqrt(612) - (sqrt(17) - (sqrt(17) + (-1 + sqrt(17) - sqrt(17)))*-4))**2. 6*sqrt(17) + 26 Simplify (-1*sqrt(9))/sqrt(3) - (3 + sqrt(12)/sqrt(4))**2. -7*sqrt(3) - 12 Simplify sqrt(81)/sqrt(3) + sqrt(9)/sqrt(3)*1. 4*sqrt(3) Simplify -4*(sqrt(14)/sqrt(2) + 2)*-6. 48 + 24*sqrt(7) Simplify ((sqrt(704) - (sqrt(704) - (sqrt(704) + sqrt(704) + sqrt(704) + -2 + sqrt(704)))) + -2 + sqrt(704))**2. -320*sqrt(11) + 17616 Simplify 1*(sqrt(1331) + 1) - sqrt(1331) - sqrt(1331). -11*sqrt(11) + 1 Simplify (2 + sqrt(2299))**2*4. 176*sqrt(19) + 9212 Simplify 4*(sqrt(50) + sqrt(50)*-1)**2. 0 Simplify 3*((sqrt(288) +
{ "pile_set_name": "DM Mathematics" }
6/80? 270 Let s = 551/125 - 9937/1500. Calculate the common denominator of s and -143/60. 60 Let a = 122871043/525 + -234040. What is the common denominator of -83/300 and a? 2100 Let c = -4264 + 68265/16. What is the common denominator of (104/(-84))/(16/(-18)) and c? 112 Calculate the smallest common multiple of 189 and -3 + 456/20 + 66/55. 189 Let o(t) = -44*t - 981. Calculate the least common multiple of o(-23) and 1922. 1922 Let q be (13/(-26))/((-1)/(-306)). Calculate the common denominator of -97/12 and ((-183)/q)/(5 + -6). 204 Let k = 183 - 203. Calculate the common denominator of 77/(-8) + (k - -17) and -23/172. 344 Let l be (-3 + 1)/((-10)/215). Let k = -40 + l. What is the least common multiple of 18 and (-24)/(-36)*k*7? 126 Let v = -256 + 274. Suppose -319 = -11*s - v*s. Calculate the lowest common multiple of 8*(3/4 - 0) and s. 66 Suppose 3967*d = 3945*d + 440. What is the smallest common multiple of d and 218? 2180 Find the common denominator of (-84)/14 - (-585)/99 - 677/1023 and 71/465. 465 Let g = -837381477/1088 - -769652. Calculate the common denominator of -79/4 and g. 1088 Let u = -7693 - -8053. Calculate the least common multiple of 330 and u. 3960 Let b = -600842/253503 + -2/9389. Let l be (4 - -429)*(-123)/18. Let v = 2941 + l. What is the common denominator of v and b? 54 What is the lowest common multiple of 2*(-44)/(-8)*48/44 and (-44)/(-418) + 21884/38? 576 Let j(q) = q**2 - 22*q + 3. Let z be j(22). Suppose z*m - 142 = 4*c, -8 = -c - 3. What is the smallest common multiple of 12 and m? 108 Let s = 2633 + -18476/7. What is the common denominator of 478/58 + -2 + -6 and s? 203 Suppose -60 = -2*t - 4*c, -27*c + 2 = -25*c. Suppose 5*q = -t + 163. What is the lowest common multiple of 24 and q? 216 Calculate the common denominator of 5752/(-960) + -1 + (-576)/(-480) and (-137)/(-5)*30/(-72). 24 Find the common denominator of 3 - 3 - (-59)/(-6) and (-145308)/5040 - -27 - ((-32)/(-15) + -2). 84 Let z = 204 + -205. What is the common denominator of -103/10 and (-1506)/(-1040) + z/(-13)? 40 Let b(z) = 8*z**2 - 18*z + 31. Let o be b(2). Find the common denominator of 41/32 and -1*4225/(-1260) + 3/o. 224 Let n(k) = k**3 - 2*k - 1. Let b be n(2). Let f = -20005 - -600037/30. What is the common denominator of f and 3 + 2*884/(-144) + b? 90 Let j = -12093/5 + 9697/4. Let y = -122230 - -58181371/476. What is the common denominator of j and y? 2380 What is the common denominator of 47/312 and (7614/(-108))/(6*39)? 312 Calculate the lowest common multiple of 312 and ((-3096)/(-860))/(4/130). 936 Let s(d) = -d**3 + 28*d**2 + 12*d + 196. What is the lowest common multiple of (-12)/(-5) - (-8)/(-20) and s(0)? 196 Let q = -217/59 - -22681/7434. Calculate the common denominator of q and 13/18. 126 Suppose 14*r - 4*r = 20. Suppose 2*n - 32 = -r*u + 18, 0 = -5*n + 2*u + 160. Find the common denominator of 56/27 and (4 - (-554)/n) + (-3)/(-15). 27 Let j(w) = 9*w**3 - 36*w**2 - 43*w + 7. What is the least common multiple of 882 and j(7)? 6174 Let w(a) = 3*a**2 - 2*a - 3. Suppose -4*h = -3*u + 251, 3*u + 2*h - 158 = u. What is the lowest common multiple of u and w(3)? 162 Let m(t) = -t**3 + 7*t**2 + 20*t - 118. What is the least common multiple of m(7) and 898? 9878 Let a be (-2 - (-6)/2)*1. Let y(u) be the second derivative of u**4/6 - u**3/6 + 4*u + 20. What is the lowest common multiple of y(a) and 6? 6 Calculate the common denominator of 47/22 and (37886/504)/19 + 2/9. 308 Suppose 0 = 5*q - j - 56, -2*q - 38*j - 4 = -34*j. What is the lowest common multiple of 10 and q? 10 What is the common denominator of 82 + -70 - (-79)/(-10) and -35/106? 530 Let i(g) = 20*g**2 + 84*g - 5. What is the smallest common multiple of 354 and i(8)? 3894 Let t(b) = -30*b**3 + 2*b**2 - 34*b - 36. What is the least common multiple of t(-1) and 960? 960 Let u = -5441/90 + 317/5. Calculate the common denominator of u and -129/70. 630 Suppose -3*o - 337*r = -332*r - 4938, r = -6. Calculate the lowest common multiple of o and 1152. 26496 Let i = 1637/30 + -232/5. Let j be 2/13 - (-708741)/(-201747). Let v = 3/1478 + j. Calculate the common denominator of v and i. 42 Let k = -278248 - -137844. Let m = 20218061/144 + k. What is the common denominator of 41/42 and m? 1008 Calculate the common denominator of (-26 + (-255)/(-30))/(11/1) and (-5)/((-1210)/474) - 2. 242 Suppose -p + 3*x = -3, -x + 69 = p + 62. What is the lowest common multiple of p and 2720? 8160 Suppose -2*y + 3*i + 51 = 0, -y = 2*i + i - 21. Calculate the lowest common multiple of 3/((-15)/5) + 11 and y. 120 Let o(d) = -d**3 + 11*d**2 + 21*d - 60. Let a = 396 + -384. What is the lowest common multiple of o(a) and 39? 624 Let c be ((-4)/((-144)/14026))/((-10)/(-20)). Let b = -785 + c. Suppose -5*q + 33 = -27. Calculate the common denominator of b and q. 9 Let y(m) = 4*m**2 - 25*m + 81. What is the least common multiple of 30 and y(18)? 9270 Find the common denominator of -5 - (153777/(-2860))/((-126)/(-12)) and -21/880. 6160 Suppose 7*t - 2 = 6*t. Suppose -t*w + 34 = 4*f, w - 27 = -2*w + 2*f. Suppose -10 = 40*n - 45*n. Calculate the lowest common multiple of w and n. 22 Suppose -30 = -4*t + 26. Let b be (-6)/3 + -6 + (8 - 3). Calculate the smallest common multiple of (23 - 9/b) + 6 and t. 224 Let l(f) = 503*f + 6045. Suppose 0 = c + 2 - 34. Let y = c + -20. What is the least common multiple of l(-12) and y? 36 Let o = -12 + 23. Suppose -5*a - 4 = -19. Suppose 2*u - 2 = -5*r + a*u, 3*u = 2*r + 7. Calculate the smallest common multiple of r and o. 11 Let u = -3409 + 214787/63. Let w = -1224703/19497744 + 1/94192. Find the common denominator of w and u. 1449 Let b = 15 + -24. Let o be b/2*-7*(-8582)/231. Let u = o - -1168. What is the common denominator of 23/11 and u? 11 Suppose -96*u - 30897 = 97*u - 33985. Let r(g) = 12*g**3 + g**2 - 2*g + 1. What is the smallest common multiple of u and r(1)? 48 Let h = 5121/38125 + 4/38125. Let o = 22742/10065 + h. Let m = 13188 - 158401/12. Calculate the common denominator of m and o. 132 Suppose 0 = -4*s - 4 + 12. Let j = -639 + 677. Suppose -34 = -3*f + j. What is the smallest common multiple of f and s? 24 Let t = 5 - 8. Calculate the common denominator of (228/10)/((-9)/(-10)) and t/12*-158 + 1. 6 Suppose 2*v + 3*g - 1291 - 326 = 0, -2*g = -v + 784. Calculate the lowest common multiple of v and 9. 2394 Let l(h) = -2*h + 2. Let z be l(0). Suppose q + 4*s - 10 = -2*q, -4 = -2*q - z*s. Calculate the common denominator of -27/14 and q/8 - 1053/(-572). 154 Suppose 66*j + 28 = 71*j - 3*m, -20 = -2*j - m. Let h(r) = -r**3 - 6*r**2 + 13*r + 20. What is the smallest common multiple of h(-8) and j? 88 Let s(p) = -p**3 - 11*p**2 + 15*p + 18. Let z be s(-12). Find the common denominator of 22/30*66/(-8) and -5 - (0 - z/48). 40 Suppose 5*f + 0*f - 4*g = -6, -4*f = 5*g - 28. Let n = -156197 - -2030533/13. What is the common denominator of ((-284)/18)/f - -1 and n? 117 Let i = -5627160138241087/2173753286099934 + 2/43972838251. Let l = 210339418/2247 + -93609. Let x = l + i. Calculate the common denominator of 33/4 and x. 44 Let p = 9327107/42 - 222044. Let m = p - 176/7. Find the common denominator of 39/64 and m. 192 Find the common denominator of -47/16 and 2/2*96/32 + 2625/(-884). 3536 Suppose -3*m + 5*t + 1204 - 132 = 0, t - 1096 = -3*m. What is the lowest common multiple of m and 312? 2184 Let o = 93116928/673 + -138361. What is the common denominator of 1/4 and o? 2692 Let r(l) = 5*l**2 - 5*l - 8. Let c be r(-2). Suppose 9 = -c*b + 19*b. Find the common denominator of 143/18 and b/72*60/9. 18 Let b = 172187/21300 - 1/1775. Find the common denominator of -53/134 and b. 804 Let o = -130 + 183. Suppose o*c + 5 = 54*c. Calculate the smallest common multiple of c and 1. 5 Let g = 3735864522/3275 - 1140722. Calculate the common denominator of g and 75/262. 6550 What is the common denominator of -91/8 and 8190/(-25785)*(-6)/(-16)? 1528 Suppose -10*y + 28 + 72 = 0. Let u(c) be the second derivative of c**3/6 + 19*c**2/2 + c. Calculate the smallest common multiple of u(-9) and y. 10 Suppose h + 3*h - 16 = 0. Suppose -5*g - 2*t = 2858, g + h*g - 2*t = -2842. Let j = -5122/9 - g. What is the common denominator of j and 20/11? 99 Let d(b) = -b**3 - 41. Suppose -z + 5 = 2*j, 5*
{ "pile_set_name": "DM Mathematics" }
*3 + c*a**4 + b*a**2 and give m. 3 Rearrange (4*c + 12*c - 4*c)*(-5*c + c + 17*c) to q + b*c**2 + y*c and give b. 156 Rearrange 6*f**3 - 2*f**3 - f**3 + 48*f**4 - 43*f**4 - f**2 - f to the form h*f**3 + n*f + z*f**4 + b + p*f**2 and give p. -1 Rearrange (-9*d + 1439 - 6*d - 1448)*(-2*d**2 + 2*d**2 + 2*d**2) to the form i*d**3 + a + x*d + v*d**2 and give i. -30 Rearrange (2055*b**2 - 2036*b**2 - 2*b - b)*(3*b**2 - 3*b**2 - 2*b**2) to the form a*b + l*b**2 + c*b**4 + d*b**3 + r and give c. -38 Rearrange (0*n - 2*n + n)*(13 + 32*n - 13) + 0*n + 0*n + 2*n**2 to u*n**2 + h*n + t and give u. -30 Rearrange (7 - 2 + 1)*(3*r - 2*r - 42*r) to u + o*r and give o. -246 Express -t**3 + 0*t**2 + 0*t**2 + (125*t - 9 + t**2 - 125*t)*(t - 2*t - t) in the form i*t**2 + f*t + d + r*t**3 and give f. 18 Express 10*l**3 - 8*l**4 + 2 + 7 - l**3 + l**2 + 6*l**4 - 1 as f*l**4 + q*l**3 + v*l + d*l**2 + t and give f. -2 Rearrange 2 + 152*s**2 - 392*s**2 - 17*s**2 to l*s + k*s**2 + m and give m. 2 Express 1831 - 1831 - 395*m as g*m + i and give g. -395 Express 1216*p**3 + 2 + 205*p**2 + 1210*p**3 - 2424*p**3 as n*p**3 + r*p + a*p**2 + d and give a. 205 Express (-22 + 22 + 15*v)*(-v + 1 - 1 + (v - v + 2*v)*(-2 + 2 - 2) + 2 - 2 + 2*v + 0 - v + 0 - 59 + 10*v + 59) as y*v**2 + s*v + d and give y. 90 Express (15167 - 15167 + 30*a)*(0 + 2 + 0) + 0*a - 6*a - a as f + j*a and give j. 53 Rearrange 373*t**2 - 182*t**2 - 178*t**2 - 4*t to s*t + o + h*t**2 and give h. 13 Express -h + h - 752*h**2 + 0*h + 177*h**2 as t*h + f + n*h**2 and give n. -575 Express (66*g - 21*g**2 + 26*g**2 - 18*g)*(-4*g - 2*g + 4*g) as y + h*g + s*g**2 + w*g**3 and give s. -96 Rearrange 181*a + 48*a - 33*a - 53*a + 72*a to j + o*a and give o. 215 Rearrange 6 - f + 16*f**3 + 6*f - f - 5 to the form x*f + t*f**2 + n + a*f**3 and give n. 1 Express 14 - 50*q + 3*q**2 + 13 - 27 - 5*q**2 as k + b*q + v*q**2 and give b. -50 Express -3*g**4 - 8 - 3*g**4 + 86*g**2 + 7*g**4 + 2*g**3 - 85*g**2 as x*g + w*g**2 + r*g**3 + y + t*g**4 and give w. 1 Express -2*j + 89*j**2 + 26*j**2 + 14*j - 174*j**2 in the form h*j**2 + q*j + g and give q. 12 Express (2 - 7 - 2)*(3*p - 2*p - 2*p) + 13*p + 11*p - 98*p in the form z + w*p and give w. -67 Express (3 - 3 - 2*w)*(-3 + 4 - 3)*(3 + 2 - 3)*(101*w**3 + 1881*w**2 - 1881*w**2) in the form k*w**3 + v + g*w + b*w**4 + s*w**2 and give b. 808 Rearrange 15*l**3 - 68*l + 28*l + 29*l to m*l + n*l**2 + k + g*l**3 and give g. 15 Rearrange 3 + 2*u - 3 + 9*u**2 + 32*u - 6*u to a*u + f*u**2 + h and give f. 9 Rearrange (-503 + 1207 + 375 - 52)*(-3*t + 4*t + 0*t) to d + s*t and give s. 1027 Rearrange 14*k**2 - 24*k**2 + 73 - 79 - 4*k to the form z*k + p*k**2 + l and give z. -4 Rearrange -4151*n - n**3 + n**2 + 4151*n - 11 to t*n + p*n**2 + z + j*n**3 and give j. -1 Rearrange -5*c + 2*c + 2*c + (0 + 4 - 2)*(4*c - 2*c - c) + 5*c - 2*c - c + (2 - 2 + 1)*(-79 + 79 + 14*c) to the form l + k*c and give k. 17 Express -6*a**2 - 3*a**2 + 1058 - 1061 in the form t*a**2 + c + v*a and give c. -3 Express 322*i - 200*i - 1447*i + (3 + 0 - 2)*(0 + 0 - 2*i) - 3 + 3 - 2*i + i + 0*i + i as m*i + y and give m. -1327 Express (-618 - 120*h + 618)*(1 + 4 - 4)*(h**2 - h**2 - 5*h**3) as q*h**3 + y*h**4 + x*h**2 + g + z*h and give x. 0 Rearrange (u + u + 0*u)*(-3*u**2 + 3 - 3)*(111 + 23 - 5) to the form r*u**3 + y + p*u**2 + j*u and give y. 0 Express s**2 + s**2 + 459 + 3*s - 3*s + 291 as n*s**2 + v + d*s and give n. 2 Express -61*r + 102*r + 2*r**2 - r**2 as w*r**2 + i + m*r and give i. 0 Rearrange -5*v - 11 + 2*v + 0*v to i + j*v and give j. -3 Express -9*l - 14*l + 18*l - 70*l**2 - 3*l as s*l**2 + t*l + k and give t. -8 Rearrange (-27*x**2 + 14426*x + 6 + 167*x**2 - 14426*x)*(-x + x + 2*x) to the form t*x**3 + b + i*x + z*x**2 and give t. 280 Express (-20*w**2 - 29*w**2 - 6*w**2)*(-2*w**2 - w**2 - 12 + 11 + (-2*w + 3*w + w)*(-3*w + 2*w - w)) as j*w**2 + i + n*w + f*w**3 + k*w**4 and give k. 385 Rearrange -44*w**2 + 49*w**2 - 3*w + 101 - 101 + 3*w**3 to the form d*w + v*w**2 + j + c*w**3 and give c. 3 Rearrange 3*m + 2*m**3 - 389 - 4*m + m**4 + 383 to the form u*m**4 + d + w*m**2 + v*m + j*m**3 and give u. 1 Rearrange (2*a - 4*a - a)*(-6*a**3 - 3*a**3 - 3*a**3) to v*a + p + m*a**2 + x*a**4 + n*a**3 and give v. 0 Express ((-148*v - 76*v - 99*v)*(-5 + 2 + 4) + (0 + 0 + 2)*(v + 0*v - 2*v))*(3 - 3 - v) as q + u*v + o*v**2 and give o. 325 Rearrange (-j**2 - 3 + 6 - 2)*((-5*j + j + 2*j)*(-4*j + 95 - 95) - 3*j**2 + 0 + 0) to the form r*j**4 + t*j**3 + k*j + s*j**2 + f and give s. 5 Express (-10*h - 30 + 30)*(-11 - 4*h + 4 + 6) - h + h - h**2 + (-5*h + 2*h + 2*h)*(-h + 4*h - 2*h) in the form y*h**2 + m + j*h and give y. 38 Express 108 - 315 + 105 + 290*w + 102 in the form h + z*w and give z. 290 Express (-2 + 2 + d**2)*((3*d + 0*d - 2*d)*(-3 + 3 - 3*d) + 6*d**2 + 87*d**2 + 30*d**2) as x*d**4 + l*d**2 + a*d + g + u*d**3 and give x. 120 Rearrange (3*j - 3*j + 2*j)*(5 - 3 + 1 + (-7 - 3 + 1)*(-1 + 1 - 1))*(-1 - 2 + 2) to b + r*j and give r. -24 Rearrange 3676*f**3 + 3*f - 3674*f**3 + 0*f - 49*f**2 to the form j + o*f**3 + w*f + n*f**2 and give o. 2 Rearrange -15*u**4 - 3 + 0 + 6 + 6 + 2*u + 0*u**4 to t*u + z*u**3 + s + p*u**4 + w*u**2 and give t. 2 Rearrange (33403 + 295*r - 33403)*(-27*r**2 - 2*r**3 + 27*r**2) to the form u + c*r**4 + o*r**3 + p*r**2 + y*r and give c. -590 Rearrange -3788*q**2 + 1896*q**2 - 2 + 1893*q**2 - 14*q**3 to the form w*q**2 + p*q**3 + v*q + y and give y. -2 Express 136*k**2 - 4 - 285*k**2 + k + 144*k**2 as l*k + i*k**2 + d and give i. -5 Express (109 - 109 - 13*f**2)*(4 - 1 - 1)*(-11 + 11 + 4) as i*f**2 + q*f + x and give i. -104 Rearrange (-1 - 4 + 3 + (2 - 1 + 1)*(-1 - 2 + 5))*(-119*a**4 + 64*a**4 + 61*a**4) - 5*a**4 + 2*a**4 + 2*a**4 to z*a**4 + s*a**2 + v*a**3 + u*a + r and give z. 11 Express -2*b**4 - 1 + 1 + (1 + b**2 - 1)*(2*b**2 - 2*b**2 + b**2) + 326*b**4 + 28*b**4 + 126*b**4 as v + j*b**4 + y*b + p*b**2 + u*b**3 and give p. 0 Rearrange -2*d - 306*d**3 + 518*d**3 - 284*d**3 to the form v*d**3 + h*d**2 + i*d + y and give v. -72 Express -11*c + 4*c**2 - 1 + 3*c**2 - c**3 - 10*c**2 + 8*c in the form h*c**3 + d*c + g*c**2 + i and give d. -3 Rearrange 24*g - 31*g**2 + 40*g**2 - 4*g to the form k + h*g**2 + r*g and give r. 20 Rearrange 121*d**2 + 37*d - 27*d - 10*d to the form z + t*d + g*d**2 and give g. 121 Express -184 + h**3 + 0*h**3 + 1117*h - 1114*h as p + a*h**3 + u*h + j*h**2 and give u. 3 Rearrange 34*f**2 - 41*f**2 - 52 + 144 to the form a*f + q*f**2 + v and give q. -7 Rearrange (-14*d**2 + 176*d**2 + 17*d**2)*(-3*d**2 - 1 + 2*d**2 + 0) to a*d**2 + j*d**3 + f + h*d**4 + n*d and give a. -179 Rearrange -239 + 14*s + 743 - 249 - 230 - 4*s to m + k*s and give k. 10 Express 3*w**3 + 2*w - 7*w**2 + 3*w + 6*w + 5*w**2 + w**4 as g + r*w + q*w**2 + n*w**3 + v*w**4 and give r. 11 Express (-3*y**4 + 5*y**4 + 0*y**4)*(0 - 2 + 3)*(-46 - 24 + 15) in the form t*y + q*y**2 + h*y**4 + j*y**3 + k and give h. -110 Express (0 + 1 - 3)*(0*y - y + 3*y) + 3*y + 1 - 1 + 21*y + 28*y - 47*y as r*y + n and give r. 1 Rearrange ((-5*w + 3*w - 2*w)*(-2 + 1 + 3) - 3*w + 4*w + 0*w)*(9590*w + 9587*w - 19173*w) to p + f*w**2 + y*w and give f. -28 Rearrange 13*y - 13*y + 252*y**2 + 193*y**2 to l*y**2 + h*y + m and give l. 445 Rearrange (3 - 1 + 347*h - 346*h)*(15*h**2 - 92*h**2 - 31*h**2) to y*h**2 + i*h**3 + r*h + d and give i. -108 Rearrange -2*v**2 + 0*v**2 + v**2 - 2*v**2 + 3*v**2 - 4*v**2 + (3 + 2 - 4)*(-v**2 + v**2 + 2*v**2) + 2*v**2 + 0*v**2 - 3*v**2 to z*v**2 + d*v + k and give z. -3 Express -63 + 63 - 95*s - 3*s as g*s + c and give g. -98 Rearrange 22 + 24 + i**2 + 4*i**2 - i - 51 to the form h + a*i + u*i**2 and give h. -5 Rearrange (-2*w - 35*w + 3*w)*(w - 5*w + 0*w) to m*w + v*w**2 + f and give v. 136 Rearrange (2*w**3 - 3*w**3 + 0*w**3)*(4 + 4*w - 4) + 3*w**4 + w**4 - 5*w**4 + 120*w**2 - 8*w**4 - 120*w**2 to b*w**3 + i + n*w + f*w**4 + g*w**2 and give f. -13 Rearrange -14*k**4 - 4*k - 14 + 9 + 3*k**2 + 3 + 33*k**4 to the form s*k**4 + w*k**2 + h*k**3 + q*k + m and give h. 0 Rearrange -2 - 35*k + 281*k - 112*k - 43*k to the form m*k + z and give m. 91 Express -61 + 228 - 6*z - 79 - 67 in the form r + q*z and give r. 21 Rearrange -238*f - 159*f - 2 - 39*f - 34*f + f**2 + 4 to the form y + o*f + h*f**2 and give
{ "pile_set_name": "DM Mathematics" }
without replacement from jhnprcprhjnppjcc. Give prob of sequence hnnj. 1/3640 What is prob of sequence uic when three letters picked without replacement from {u: 1, v: 2, i: 1, r: 5, c: 1}? 1/720 Four letters picked without replacement from {a: 6, g: 1, e: 3, q: 7}. What is prob of sequence gaee? 3/4760 What is prob of sequence wjw when three letters picked without replacement from twwwjwwjwjjwwjj? 8/65 What is prob of sequence td when two letters picked without replacement from {t: 5, d: 14}? 35/171 Three letters picked without replacement from {f: 1, v: 17}. Give prob of sequence vfv. 1/18 What is prob of sequence ix when two letters picked without replacement from {x: 2, i: 1, e: 14}? 1/136 Calculate prob of sequence dji when three letters picked without replacement from {d: 1, v: 1, j: 1, k: 2, i: 2}. 1/105 Two letters picked without replacement from tajafeg. Give prob of sequence fj. 1/42 What is prob of sequence paaa when four letters picked without replacement from aaaaapapaaapaa? 45/364 Calculate prob of sequence mm when two letters picked without replacement from xvxvxmuummmxuxx. 2/35 Calculate prob of sequence yn when two letters picked without replacement from ukkdkndkdrnuknkndydn. 1/76 Three letters picked without replacement from {k: 1, v: 6, l: 4}. Give prob of sequence llv. 4/55 Three letters picked without replacement from trggttrzjgjrjgzrzr. What is prob of sequence ggz? 1/136 What is prob of sequence sb when two letters picked without replacement from {a: 1, s: 2, b: 1, n: 4, j: 1}? 1/36 Calculate prob of sequence ay when two letters picked without replacement from fwhyhyyfyayhhfhhy. 3/136 Calculate prob of sequence eo when two letters picked without replacement from {b: 4, e: 9, f: 1, o: 2}. 3/40 Three letters picked without replacement from djedaao. What is prob of sequence dda? 2/105 Calculate prob of sequence iu when two letters picked without replacement from {i: 1, u: 1, t: 4, a: 1, o: 2}. 1/72 Two letters picked without replacement from awwwwwa. What is prob of sequence aa? 1/21 Four letters picked without replacement from {j: 1, i: 4, h: 4, a: 2}. Give prob of sequence iaih. 2/165 Calculate prob of sequence niu when three letters picked without replacement from {i: 1, r: 5, u: 3, z: 1, n: 1}. 1/330 What is prob of sequence kx when two letters picked without replacement from kgkkxxkxxkkkx? 35/156 Two letters picked without replacement from {f: 1, p: 1, s: 3, c: 2, j: 1, x: 5}. Give prob of sequence pc. 1/78 Two letters picked without replacement from jtpwwjpjpwwwjutup. What is prob of sequence uw? 5/136 What is prob of sequence wvvw when four letters picked without replacement from vvvwwvwvvwwvvvwmvw? 7/136 What is prob of sequence grgm when four letters picked without replacement from {m: 1, c: 1, r: 1, g: 2}? 1/60 Four letters picked without replacement from bpbpbbppbpbb. What is prob of sequence bpbp? 7/99 Four letters picked without replacement from aaxaxaaaaxxaaa. What is prob of sequence xaax? 45/1001 Two letters picked without replacement from {a: 6, w: 6, t: 1, y: 7}. Give prob of sequence ya. 21/190 Four letters picked without replacement from hbyqbhqbrbyqxhbhyxb. Give prob of sequence yhbq. 3/1292 Calculate prob of sequence cco when three letters picked without replacement from {c: 2, w: 6, o: 2, s: 1}. 2/495 Two letters picked without replacement from aaam. What is prob of sequence ma? 1/4 Calculate prob of sequence qqq when three letters picked without replacement from {q: 5}. 1 What is prob of sequence wwwr when four letters picked without replacement from wvwvwvwwvwwwvhvvwhvr? 7/1615 What is prob of sequence ll when two letters picked without replacement from {l: 5, s: 7}? 5/33 Four letters picked without replacement from {o: 4}. What is prob of sequence oooo? 1 Calculate prob of sequence bkrb when four letters picked without replacement from kbbrbkkbbkkbr. 5/286 What is prob of sequence qq when two letters picked without replacement from {f: 3, w: 2, h: 1, q: 12, z: 1}? 22/57 Calculate prob of sequence yll when three letters picked without replacement from lbvblvyblbbvvyybbw. 1/272 What is prob of sequence nfw when three letters picked without replacement from nzwwwzzwewwfwfff? 1/120 Two letters picked without replacement from djjwwdddjwddd. What is prob of sequence wd? 7/52 Four letters picked without replacement from {h: 1, t: 1, x: 1, d: 1, b: 1}. What is prob of sequence txhd? 1/120 What is prob of sequence rxa when three letters picked without replacement from wddwxxxxrxaxxx? 1/273 Four letters picked without replacement from rmmxmhxxxmqrrhhr. What is prob of sequence qmmr? 1/910 Two letters picked without replacement from {t: 3, l: 3, k: 3, r: 3, u: 1, y: 1}. What is prob of sequence uk? 3/182 Calculate prob of sequence wu when two letters picked without replacement from {u: 5, w: 9}. 45/182 Four letters picked without replacement from {i: 8, v: 6, p: 1}. Give prob of sequence vpvi. 2/273 What is prob of sequence llfs when four letters picked without replacement from {b: 2, i: 2, l: 2, f: 1, s: 1}? 1/840 Three letters picked without replacement from {q: 2, u: 5, t: 5, p: 7}. Give prob of sequence puu. 70/2907 Two letters picked without replacement from qqeqqqqqqeqeeqqeqqq. Give prob of sequence ee. 10/171 What is prob of sequence ffb when three letters picked without replacement from ffffffffffbssf? 55/1092 Three letters picked without replacement from xxssssssssx. What is prob of sequence sxs? 28/165 Four letters picked without replacement from wwwwwwwww. Give prob of sequence wwww. 1 What is prob of sequence cll when three letters picked without replacement from lbbbiblbbclccilblii? 10/969 Two letters picked without replacement from hcclscheeeme. What is prob of sequence lc? 1/44 Calculate prob of sequence mff when three letters picked without replacement from foqoeqooofqqoom. 1/1365 What is prob of sequence gygd when four letters picked without replacement from {y: 2, d: 4, g: 2}? 1/105 Calculate prob of sequence vhh when three letters picked without replacement from {v: 3, w: 4, h: 4}. 2/55 Four letters picked without replacement from {v: 5, h: 8, u: 2, l: 4}. What is prob of sequence lvhl? 5/969 Calculate prob of sequence spch when four letters picked without replacement from sypbbch. 1/840 Calculate prob of sequence vtr when three letters picked without replacement from xtmirviviiviv. 1/429 Calculate prob of sequence nen when three letters picked without replacement from femeennmfnfmnfe. 8/455 Four letters picked without replacement from lslmlbvmsmslsll. Give prob of sequence vmms. 1/1365 Calculate prob of sequence rro when three letters picked without replacement from {o: 1, r: 6, h: 2, y: 3, j: 5}. 1/136 Two letters picked without replacement from eeeeee. Give prob of sequence ee. 1 Two letters picked without replacement from {q: 1, f: 1, t: 1, l: 4, r: 2}. What is prob of sequence fq? 1/72 What is prob of sequence zjjz when four letters picked without replacement from {z: 7, j: 3}? 1/20 Three letters picked without replacement from skss. What is prob of sequence sks? 1/4 What is prob of sequence gu when two letters picked without replacement from {i: 2, g: 1, w: 1, y: 2, u: 1}? 1/42 Two letters picked without replacement from {d: 1, j: 2, p: 1, h: 2}. Give prob of sequence jp. 1/15 Two letters picked without replacement from ixiixxixii. What is prob of sequence ii? 1/3 What is prob of sequence gg when two letters picked without replacement from aggngnagnnqggnggang? 4/19 Four letters picked without replacement from eejffeeeejejf. What is prob of sequence jfjj? 3/2860 Three letters picked without replacement from tvctyqvqtttyaqttqqqt. Give prob of sequence tyq. 4/285 Four letters picked without replacement from vvtwvvttttttvttwvtvt. Give prob of sequence vvvw. 7/1938 Three letters picked without replacement from uuuuhhkusyuy. Give prob of sequence syy. 1/660 Calculate prob of sequence wa when two letters picked without replacement from {w: 1, z: 2, p: 2, a: 1, u: 2}. 1/56 Four letters picked without replacement from zveeezzzeezevgzvz. Give prob of sequence geez. 1/272 Calculate prob of sequence iii when three letters picked without replacement from {i: 4}. 1 What is prob of sequence sw
{ "pile_set_name": "DM Mathematics" }
, 421, 1847 List the prime factors of 3130959485. 5, 569, 1100513 What are the prime factors of 91251697? 157, 359, 1619 List the prime factors of 30840780. 2, 3, 5, 514013 What are the prime factors of 1651789191? 3, 13, 42353569 What are the prime factors of 2470554127? 71, 34796537 What are the prime factors of 669005107? 669005107 What are the prime factors of 5363953740? 2, 3, 5, 23, 41, 31601 What are the prime factors of 1173859275? 3, 5, 769, 20353 List the prime factors of 53237730. 2, 3, 5, 7, 13, 19501 List the prime factors of 147684834. 2, 3, 11, 19, 37, 1061 What are the prime factors of 244516279? 7, 34930897 List the prime factors of 2375512871. 83, 28620637 What are the prime factors of 1685296294? 2, 11, 76604377 List the prime factors of 29985666. 2, 3, 4997611 What are the prime factors of 34890846? 2, 3, 5815141 List the prime factors of 143982360. 2, 3, 5, 14813 List the prime factors of 71944087. 31, 71, 32687 List the prime factors of 46732096. 2, 19, 38431 What are the prime factors of 63107612? 2, 15776903 What are the prime factors of 67587749? 127, 532187 List the prime factors of 1430235247. 7, 204319321 What are the prime factors of 145835809? 7, 17, 29, 6037 List the prime factors of 10299425. 5, 19, 21683 What are the prime factors of 29500081? 13, 2269237 List the prime factors of 151110447. 3, 50370149 List the prime factors of 847587256. 2, 105948407 What are the prime factors of 5268032? 2, 7, 11, 1069 What are the prime factors of 131228975? 5, 5249159 List the prime factors of 1436648888. 2, 179581111 List the prime factors of 15268523. 31, 41, 293 List the prime factors of 47697554. 2, 3517, 6781 What are the prime factors of 40837138? 2, 20418569 What are the prime factors of 3449982? 2, 3, 19, 53, 571 What are the prime factors of 167585891? 11, 15235081 List the prime factors of 4317132269. 17, 23, 41, 197, 1367 List the prime factors of 12511751. 7, 1787393 What are the prime factors of 158002249? 23, 298681 List the prime factors of 50373042. 2, 3, 109, 77023 List the prime factors of 2718002748. 2, 3, 31, 607, 12037 List the prime factors of 125379232. 2, 11, 32381 What are the prime factors of 48838992? 2, 3, 1017479 List the prime factors of 731953134. 2, 3, 11, 3696733 What are the prime factors of 6557549050? 2, 5, 13, 79, 127703 List the prime factors of 3760552583. 29, 61, 229, 9283 List the prime factors of 6647207088. 2, 3, 61, 907, 2503 What are the prime factors of 2813612088? 2, 3, 7, 313, 53507 What are the prime factors of 164679729? 3, 54893243 What are the prime factors of 2219579893? 2219579893 What are the prime factors of 5075351? 31, 101, 1621 What are the prime factors of 3035782037? 3035782037 List the prime factors of 1014410589. 3, 19, 4079, 4363 What are the prime factors of 9237652? 2, 2309413 What are the prime factors of 25980391? 19, 71, 19259 What are the prime factors of 517738525? 5, 1163, 17807 What are the prime factors of 1655070322? 2, 751, 941, 1171 What are the prime factors of 12314950? 2, 5, 71, 3469 List the prime factors of 542912662. 2, 3023, 89797 List the prime factors of 46444421. 46444421 List the prime factors of 336782678. 2, 71, 2371709 What are the prime factors of 71877658? 2, 35938829 List the prime factors of 124057986. 2, 3, 13, 1590487 List the prime factors of 61923583. 971, 63773 What are the prime factors of 38476044? 2, 3, 1068779 List the prime factors of 248280470. 2, 5, 103, 241049 What are the prime factors of 2401807323? 3, 227, 1877, 1879 List the prime factors of 294761557. 241, 1223077 List the prime factors of 15969937. 19, 840523 List the prime factors of 128710445. 5, 521, 49409 List the prime factors of 1093566034. 2, 11, 1873, 26539 List the prime factors of 163049350. 2, 5, 83, 101, 389 What are the prime factors of 13862125? 5, 43, 2579 List the prime factors of 33680815. 5, 7, 962309 List the prime factors of 68200728. 2, 3, 19, 149563 What are the prime factors of 136720185? 3, 5, 7, 223, 5839 What are the prime factors of 3173840355? 3, 5, 7, 30227051 What are the prime factors of 57534205? 5, 17, 743, 911 What are the prime factors of 493058588? 2, 11, 19, 589783 List the prime factors of 1850195628. 2, 3, 17131441 List the prime factors of 44486652. 2, 3, 7, 529603 What are the prime factors of 48954551? 48954551 List the prime factors of 224649547. 224649547 List the prime factors of 70837621. 347, 204143 What are the prime factors of 8746876? 2, 2186719 List the prime factors of 58485406. 2, 7, 17, 31, 7927 What are the prime factors of 584777299? 16657, 35107 What are the prime factors of 357626232? 2, 3, 1655677 List the prime factors of 973324882. 2, 311, 1564831 What are the prime factors of 2490181807? 37, 163, 283, 1459 What are the prime factors of 96094800? 2, 3, 5, 26693 What are the prime factors of 1486720802? 2, 7, 106194343 List the prime factors of 1005165583. 5653, 177811 What are the prime factors of 1114952198? 2, 107, 5210057 What are the prime factors of 14141490? 2, 3, 5, 11, 42853 What are the prime factors of 708194312? 2, 7, 41, 308447 What are the prime factors of 131315923? 37, 3549079 What are the prime factors of 265200000? 2, 3, 5, 13, 17 What are the prime factors of 45923909? 45923909 What are the prime factors of 33121091? 113, 293107 What are the prime factors of 838660319? 7, 4457, 26881 List the prime factors of 9554377. 7, 1364911 List the prime factors of 4253330. 2, 5, 425333 List the prime factors of 269651528. 2, 103, 327247 What are the prime factors of 132481772? 2, 2297, 14419 What are the prime factors of 635207933? 283, 449, 4999 What are the prime factors of 32379126? 2, 3, 13, 571, 727 What are the prime factors of 46121415? 3, 5, 829, 3709 List the prime factors of 496283660. 2, 5, 673, 36871 List the prime factors of 41190473. 17, 2422969 What are the prime factors of 465342994? 2, 569, 408913 What are the prime factors of 312473505? 3, 5, 41, 508087 List the prime factors of 118001791. 118001791 What are the prime factors of 97796125? 5, 7, 111767 What are the prime factors of 359006146? 2, 8647, 20759 What are the prime factors of 83484022? 2, 2027, 20593 List the prime factors of 29556819. 3, 121633 What are the prime factors of 65233233? 3, 13, 17, 32797 What are the prime factors of 245902328? 2, 7, 67, 65539 What are the prime factors of 5435608092? 2, 3, 47, 9637603 List the prime factors of 32919309. 3, 541, 6761 List the prime factors of 1176344032. 2, 36760751 What are the prime factors of 16461806? 2, 31, 265513 List the prime factors of 9239756. 2, 73, 31643 List the prime factors of 21757776. 2, 3, 37, 12251 What are the prime factors of 2594713633? 53, 48956861 What are the prime factors of 7315031886? 2, 3, 9929, 122789 List the prime factors of 5857049. 11, 709, 751 List the prime factors of 3728526669. 3, 7, 167, 50627 List the prime factors of 1730178904. 2, 37, 271, 21569 What are the prime factors of 4897322195? 5, 157, 863, 7229 What are the prime factors of 132869394? 2, 3, 7, 19, 55501 List the prime factors of 776195794. 2, 11, 31, 1138117 List the prime factors of 145908338. 2, 29, 191, 13171 What are the prime factors of 745178407? 745178407 List the prime factors of 82317210. 2, 3, 5, 47, 79, 739 What are the prime factors of 68511604? 2, 7, 293, 1193 List the prime factors of 760590427. 23, 127, 260387 List the prime factors of 62292406. 2, 11, 29, 163, 599 List the prime factors of 3554204019. 3, 1184734673 List the prime factors of 2294865149. 29, 193, 263, 1559 What are the prime factors of 48524344? 2, 11, 139, 3967 What are the prime factors of 611371156? 2, 11, 29, 479131 What are the prime factors of 97918404? 2, 3, 73, 111779 What are the prime factors of 4053303458? 2, 2026651729 What are the prime factors of 6181810154? 2, 13, 14947, 15907 List the prime factors of 1089869405. 5, 17, 2273, 5641 What are the prime factors of 5944726519? 24019, 247501 What are the prime factors of 72459809? 72459809 List the prime factors of 3732163845. 3, 5, 29, 8579687 List the prime factors of 53960223. 3, 41, 438701 List the prime factors of 2495286947. 43, 58029929 What are the prime factors of 13583958? 2, 3, 37, 43, 1423 What are the prime fa
{ "pile_set_name": "DM Mathematics" }
g. -1 Let d = 1627 + -1617. Solve 0 = -4*f + d - 18 for f. -2 Suppose -2*l + 3 = b - 11, -2*l - 5*b + 22 = 0. Let v = 16 + -16. Let z be 32/11 - 43/(-473). Solve v = z*g - l*g - 6 for g. -2 Let s = 16 - 13. Let v be (1 + -9*(-3)/s)/2. Solve v*q = 11 + 4 for q. 3 Let d(k) = -k**3 - 19*k**2 + 5. Suppose -6*x - 111 - 3 = 0. Let l be d(x). Solve -4 - l = -3*p for p. 3 Let m(d) = 15*d + 90. Let w be m(-6). Suppose 2*x + w*u - 6 = -2*u, 2*x + 5*u = 0. Solve -2*n + 6 = -x*n for n. -2 Let g(i) = i**3 - 7*i**2 - 7. Let f be g(7). Let z = 7 + f. Suppose 4*l + 3*h - 32 = z, 3*h = -l + 6*h - 7. Solve l = -q + 2*q for q. 5 Let d be -3 + 2/(-8 + 4)*6. Let r(j) = 6*j + 41. Let u be r(d). Solve -u*a + 10*a - 20 = 0 for a. 4 Let t(b) = b + 10. Let r(k) = -k**2 - 7*k - 17. Let n be r(-5). Let g be t(n). Solve 0*q - g*q = 0 for q. 0 Let v = 7 + 15. Suppose 3*r - v = 2*w, -26 = -4*r - 0*r + 2*w. Solve 0*z = r*z - 16 for z. 4 Suppose 2 - 6 = j. Let g be 10/j*(-3)/(12/16). Suppose -4 = -3*w + 2*w. Solve k - g = -w*k for k. 2 Suppose -3 = -4*a - 15. Let l be a - (-284)/((-8)/2). Let f be (-6)/24 + l/(-8). Solve f = 2*q + 1 for q. 4 Suppose -3*i - 8 = 4. Let j be 4/(-16)*i - -1. Solve 4*k - 6 = j*k for k. 3 Let b be (-2)/8 + (123/12 - 5). Suppose -b*j - 4*t = -35, -5*t + 5 + 5 = -5*j. Solve 0 = -j*n - 3 - 0 for n. -1 Suppose 0 = -18*n - 54*n. Solve n = 3*j + 22 - 16 for j. -2 Suppose -8*i + 13 - 53 = 0. Let w = i - -9. Solve -w*l + 12 = -0 for l. 3 Let r = 167 + -151. Solve -r + 1 = -3*i for i. 5 Suppose 3*s = 4*k - 31, 8*s - 6*s = -2*k - 2. Solve 0 = k*o + 120 - 132 for o. 3 Suppose 4*j = 4*j + 2*j. Solve j = -4*n - 2*n - 12 for n. -2 Suppose x = -k + 4, 0 = 3*k + 5*x - 4*x - 12. Solve 0 = k*d + 13 - 1 for d. -3 Let q(f) = f**3 - f**2. Let z be q(2). Let g be (-324)/(-14) + 25/(-175). Let t = 33 - g. Solve z*d = -d - t for d. -2 Let y(i) = -7*i - 6. Let j(l) = 10*l + 9. Let h(m) = -5*j(m) - 7*y(m). Let r be h(-11). Suppose d + 0*d - r = 0. Solve q - d = -3*q for q. 2 Let q(d) = d**3 + 7*d**2 - 10*d + 78. Let i be q(-9). Solve z - i = -2 for z. 4 Let u be (4 - -1) + 6/(-2). Let a(i) = i**3 - 3*i**2 + 4*i - 2. Let o be a(u). Suppose n = o*n. Solve -3*v + n*v = 12 for v. -4 Suppose -10 = 2*i + 3*i. Let g be 1 + (i - -3) + 1. Suppose -4*j + 0 = -3*c + g, 2*c - 2 = -4*j. Solve 2*y - y = j for y. 0 Let f(a) = -a**3 - 27*a**2 - 29*a - 57. Let j be f(-26). Suppose -4 = -g + 1. Suppose 0 = -3*u + 12, -5*u + 13 = q - 11. Solve q*x - g = -j for x. -4 Let p(x) = -2*x + 44. Let a be p(21). Let z = 5 + 0. Suppose z*i - 25 = -5*r + r, r + 3*i - 15 = 0. Solve f - a*f - 1 = r for f. -1 Suppose -42*c = -37*c - 425. Let w = c - 65. Solve 6*f + w = f for f. -4 Let x = 281 + -269. Solve -w - x = -7*w for w. 2 Suppose -2*l = 3 - 5. Suppose 10 = 3*k - 2. Suppose -14 = -g + k*j, 3*g + 4 = j + 13. Solve l = g*d + 9 for d. -4 Suppose -g + 5*f - f + 16 = 0, -3*f + 80 = 5*g. Suppose m + 4*m + 100 = 0. Let k(l) = l**3 + 19*l**2 - 19*l + 22. Let n be k(m). Solve -n*t - g = 2*t for t. -4 Let m(w) = w**2 - 34*w + 205. Let i be m(27). Solve 0 = -n - 20 + i for n. -4 Let b(c) = 2*c**2 - 5*c + 6. Let o be b(5). Suppose -o - 24 = 5*j. Let w(t) = -t**3 - 12*t**2 - 12*t + 16. Let g be w(j). Solve 4*x = g - 7 for x. 5 Suppose 0 = 3*s + 2*s - 40. Let v be 6/9 + s/6. Let q = v - -1. Solve 6*y - q*y = -3 for y. -1 Let h(j) = -3*j**3 - 12*j**2 - 8*j + 4. Let c be h(-4). Solve c*t + 25 = 41*t for t. 5 Let v(j) = -j**3 + 4*j**2 + 7*j. Let t be v(5). Let h be 12/(-20) + 46/t. Suppose -w = 2*d - 2, -3*d = d + h. Solve 8 = -m + w for m. -4 Suppose 4*j + 4 - 24 = 3*p, 3*p = -3*j + 15. Solve 38*k - 33*k = j for k. 1 Let p(w) = 6*w + 37. Let o be p(-4). Solve -19*m = -o*m + 30 for m. -5 Let t be (-1 + 2)/((-4)/(-8)). Solve -2*v + 4 = -t for v. 3 Let w be 1/(-1*1/(-24)). Suppose -5*u + 8*u - 41 = -z, -4*z = 2*u - 44. Suppose 0 = -20*x + w*x - u. Solve -f + 1 + x = 0 for f. 4 Suppose -2*u - 5*b + 14 + 1 = 0, 2*u = -2*b + 12. Solve u*a = -a - 12 for a. -2 Suppose 0 = -0*r - 7*r - 273. Let o = -39 - r. Solve o = -3*t - 4 - 2 for t. -2 Let c = 63 + 11. Suppose -4*y - 5*l + 21 = -18, -c = -4*y + 2*l. Let r = 19 - y. Solve r*v + v + 8 = 0 for v. -2 Let g be (4 - 1)*4*15/20. Suppose -r = -g*r. Solve t + 3*t - 4 = r for t. 1 Suppose 14 = 5*l + 39. Let c = -5 - l. Solve 12 = 4*i - c*i for i. 3 Let z be (2 - (-2)/(-6))/(21/63). Solve -4*w = z + 7 for w. -3 Let o = 8 - 0. Suppose -q - o*x + 10 = -3*x, -4*q - 4*x + 8 = 0. Solve 3*f = -3 - q for f. -1 Let s = -1447 - -1457. Solve -4*a - s*a - 14 = 0 for a. -1 Let b = 4 - 1. Let a(r) = r**2 + 2. Suppose -3*s = -0*s. Let v be a(s). Solve 5 = b*m + v*m for m. 1 Suppose 3*k - 5 = 2*k. Let r(s) = -8*s**3 - 1 + 8*s - 2*s + 9*s**3 - 6*s**2. Let u be r(k). Solve -5*y + 3*y = u for y. -2 Suppose -5*z + 187 = 3*l, -4*z - 4*l + 225 = 69. Let w be 10/z + (-38)/(-14). Suppose 5*r = u - w*u + 22, 2*u + 3*r - 18 = 0. Solve 5*s - 21 = -u for s. 3 Suppose -25 - 27 = -13*g. Solve -6 = -6*f + g*f for f. 3 Suppose 2*q = 4*o + 30, 2*o - o + 4*q = -21. Let c = o + 15. Solve -2*w - c = -0 for w. -3 Suppose 53*m - 180 = 8*m. Solve 12*d = -m*d for d. 0 Let l(y) = -3*y + 37. Let n(v) = -1. Let g(b) = -l(b) - 5*n(b). Let u be g(11). Solve 4 + u = -5*t for t. -1 Let o(w) = -w**3 - 9*w**2 + 2. Suppose -8*g + 3*g + 5 = 0. Let f(p) = -8*p**3 - 2*p**2 + 3*p - 2. Let m be f(g). Let r be o(m). Solve -n = 2 + r for n. -4 Suppose 5*p - 749 + 724 = 0. Solve 5*o - p = 5 for o. 2 Suppose -3*r = -15 - 0. Suppose -20*m = -12*m - 56. Suppose 2*z + 8 = 3*i, -m = -i + z - 4. Solve -i = r*l + 3 for l. -1 Let y = -10 - -23. Let p = -21 + y. Let m = -6 - p. Solve -m*d - 3 = -11 for d. 4 Suppose -177 + 159 = -9*p. Let t(g) be the third derivative of -g**5/60 + g**4/12 + g**3/3 + 2*g**2. Let d be t(p). Solve -1 - 3 = d*r for r. -2 Let v be (-6)/4*(-4)/6. Let c be 3/(-9) + (-2)/3 + v. Solve c = -3*y + 9 for y. 3 Suppose -y - 4*n = 3, 2*y + 6 = -3*n + n. Let v be 5 + y/1 - -3. Suppose v*u - 12 = 2*u. Solve -5 - 15 = -u*a for a. 5 Let q(g) be the first derivative of g**3/3 - g**2 + 4. Let d be q(0). Solve y - 6 + 2 = d for y. 4 Let f(d) = d**3 - 3*d**2 - d + 4. Let p be f(0). Solve -t = t + p for t. -2 Let c = -30 - -55. Solve c = v + 4*v for v. 5 Suppose b = 5*v + 17, -40*b + 25 = -35*b - 5*v. Solve -1 = -b*q + q for q. 1 Let p be ((10 + -11)*-8)/1. Solve -4*v - p = -6*v for v. 4 Suppose 0 = -l + 5*d + 14, 2*l - 37 = -d - 9. Suppose 2*u + 32 = 2*i, -4*i - 1 = u - 0*i. Let h = l + u. Solve 7 = 2*s + h for s. 3 Suppose o = 4*z - 6, 2*o + 2*z - 3 - 5 = 0. Suppose -2*g + 14 = 2*v, -1 - 1 = 2*v - o*g. Solve v*h - 4*h - 3 = 0 for h. -3 Let d = -5 + -10. Let w be 5*(-3)/d*13. Solve 5*f + 2 + w = 0 for f. -3 Let y be (-17)/(-7) - 9/21. Let a be (y - 2)/(3 + -1). Solve 2*z + z + 6 = a for z. -2 Suppose y = -4 + 5. Suppose y - 3 = -g. Solve 4*h + g = -2 for h. -1 Let k(w) = 14*w**2 - 8*w - 2. Let v be k(-2). Let g = v + -68. Solve -g*p - 3 = 3 for p. -3 Let m be -125*-1*(-3)/(-15). Let b = -76 - -109. Let a = b - m. Solve 2*v - a = -0 for v. 4 Suppose -h = 3*n, -3*h = -4*h + 2*n + 20. Suppose -h = 4*o - 3*w, 22 - 2 = 5*w. Solve 3*t = -o*t - 15 for t. -5 Suppose 0 = 5*r - s - 99, -2*s - 9 + 91 = 4*r. Solve -14*n - 24 = -r*n for n. 4 Let f = 24 + -23. Solve 0 = 5*m - 4 - f for m. 1 Let o be ((-1)/(-1 + 0))/(39/39). Let h(z) = z**2 - 4*z - 4. Let a be h(5). Solve -2*n + a = -o for n. 1 Let d = -1434 - -1448. Solve -6*c + d = 8*c for c. 1 Let z = -623 - -623. Solve -2*k = -z*k - 8 for k. 4 Suppose 4*j - 5*s = 14 + 146, -2*j + 3*s + 78 = 0. Let h be (4/(-6))/((-6)/j). Suppose -5*v = -3*y - 34, h*y - 4*y + 28 = 5*v. Solve 1 = -2*t + v for t. 2 Let n(t) = t**2. Let i be n(3). Suppose -b + 2*y + 1 - 2 = 0, -b + i = 3*y. Let r be ((-15)/(-6))/(b/6). Solve -4*h + r*h = 5 for h. 5 Let n be (-162)/(-39) - ((-6)/(-39) + 0). Solve -n*b + 32 = 20 for b. 3 Let i be (540/140)/((-1)/(-7)). Solve -21*x = -i*x - 6 for x. -1 Let j = 10 + -8. Suppose 0*g + j*g = 0. Solve g*u - 20 = -4*u for u. 5 Suppose 440*d - 438*d = 38. Solve 4 = 3*n + d for n. -5 Suppose -d + 18 = 5*f, 0 = 2*d + d + 2*f - 15. Solve -d*v - v + 20 = 0 for v. 5 Suppose 2*u = -4*m + 4 + 16, u - 3*m = -10. Suppose -u*c - 7 + 15 = 0. Solve c*l + 13 = -3 for l. -4 Let d = 105 - 85. Solve d*b
{ "pile_set_name": "DM Mathematics" }
ext: 7606, 7610, 7618, 7630? 7646 What comes next: -239, -239, -241, -245? -251 What comes next: -76, -93, -120, -157, -204? -261 What comes next: -2960, -5930, -8898, -11864, -14828, -17790? -20750 What is next in 145, 152, 159, 166? 173 What comes next: -14, -17, -20, -23? -26 What comes next: -490, -1005, -1538, -2095, -2682? -3305 What is the next term in -46, -34, -22, -10, 2, 14? 26 What comes next: -2122, -2120, -2116, -2110? -2102 What comes next: -845, -853, -877, -923, -997, -1105, -1253, -1447? -1693 What is the next term in 1575, 1577, 1579, 1581, 1583? 1585 What is the next term in 127, 122, 113, 100? 83 What comes next: 100, 107, 116, 127, 140, 155, 172? 191 What comes next: -26, -57, -88, -119? -150 What is the next term in 414, 424, 436, 450, 466? 484 What is next in -152, -297, -442? -587 What comes next: -85, -111, -139, -175, -225, -295? -391 What is next in -82, -138, -196, -256, -318, -382? -448 What is next in -5, 12, 51, 118, 219, 360, 547, 786? 1083 What is the next term in 10, 33, 66, 115, 186? 285 What comes next: 28, 49, 70? 91 What comes next: -83, -121, -159, -197, -235? -273 What comes next: 37, 138, 305, 538? 837 What is the next term in 145, 144, 145, 148, 153, 160, 169? 180 What is next in 101, 217, 333, 443, 541? 621 What comes next: -250, -250, -242, -220, -178, -110? -10 What is the next term in 89, 169, 251, 335, 421, 509, 599? 691 What comes next: -61, -120, -179, -238, -297? -356 What comes next: 31, 53, 77, 103? 131 What is the next term in -13, -65, -153, -277, -437, -633? -865 What is next in 5029, 5026, 5021, 5014, 5005, 4994? 4981 What comes next: 1359, 1358, 1357, 1356? 1355 What is next in -65, -124, -171, -200, -205? -180 What comes next: -2, 21, 44, 67, 90? 113 What is next in -63, -55, -43, -27? -7 What comes next: 930, 929, 928? 927 What is next in 20, 36, 68, 122, 204, 320? 476 What comes next: 1808, 1813, 1822, 1835? 1852 What comes next: -113, -213, -313, -413, -513, -613? -713 What is the next term in -368, -728, -1084, -1436, -1784, -2128, -2468? -2804 What is next in 164, 663, 1502, 2687, 4224, 6119, 8378, 11007? 14012 What is next in -9, -52, -169, -396, -769? -1324 What comes next: -243, -235, -221, -201, -175, -143? -105 What comes next: 30, 23, 16? 9 What is the next term in -8, 6, 20? 34 What is the next term in -71, -104, -173, -296, -491, -776, -1169? -1688 What is the next term in -28, -37, -54, -79, -112? -153 What is next in 63, 220, 463, 786, 1183, 1648? 2175 What is the next term in 70, 17, -120, -383, -814? -1455 What is next in -31, -45, -59? -73 What comes next: -2875, -2874, -2873? -2872 What comes next: 39, 15, -27, -87, -165, -261? -375 What is next in 1216, 1219, 1224, 1231, 1240, 1251? 1264 What is the next term in 171, 345, 519, 693, 867, 1041? 1215 What is the next term in -48, -42, -34, -24, -12, 2? 18 What comes next: 53, 190, 419, 740, 1153, 1658, 2255? 2944 What comes next: -9, -37, -77, -129, -193, -269, -357? -457 What is next in 4242, 4252, 4264, 4278, 4294, 4312, 4332? 4354 What is the next term in -117, -116, -105, -78, -29, 48, 159, 310? 507 What is the next term in -287, -290, -295, -302, -311, -322? -335 What is next in -107, -214, -321, -428? -535 What is the next term in -20, -41, -62? -83 What comes next: 398, 419, 464, 545, 674, 863, 1124, 1469? 1910 What comes next: -134, -124, -100, -56, 14, 116, 256, 440? 674 What is next in 7645, 15292, 22939, 30586? 38233 What comes next: -1438, -2860, -4282? -5704 What is the next term in 18, 32, 60, 108, 182, 288, 432, 620? 858 What is the next term in 33, 41, 55, 75? 101 What comes next: -49, -219, -511, -931, -1485? -2179 What is the next term in -28, -53, -78, -103? -128 What comes next: -11541, -23088, -34649, -46230, -57837, -69476, -81153, -92874? -104645 What is next in 436, 436, 426, 400, 352, 276? 166 What is the next term in 73, 57, 17, -59, -183, -367, -623, -963? -1399 What is next in 3947, 3946, 3945? 3944 What is next in 72, 311, 710, 1269, 1988? 2867 What is the next term in 964, 1924, 2882, 3838, 4792, 5744, 6694? 7642 What is next in -94, -102, -120, -154, -210? -294 What is the next term in 10353, 20711, 31071, 41433? 51797 What comes next: 146, 571, 1280, 2273, 3550, 5111? 6956 What comes next: -166, -330, -494, -658? -822 What is next in 733, 732, 723, 700, 657? 588 What comes next: -94, -177, -260, -343, -426, -509? -592 What is next in 74, 176, 356, 620, 974, 1424, 1976, 2636? 3410 What is the next term in -557, -555, -553, -551? -549 What is next in -970, -971, -972, -973? -974 What comes next: -287, -300, -321, -350? -387 What is next in -4, 12, 36, 74, 132, 216, 332? 486 What is next in 125, 319, 585, 923? 1333 What is the next term in 29, 70, 111, 152? 193 What is the next term in -28, -33, -28, -1, 60, 167? 332 What comes next: -134, -124, -114, -104? -94 What is the next term in 87, 86, 85, 84? 83 What comes next: 189, 344, 499? 654 What comes next: -40, -78, -116, -154, -192? -230 What comes next: -2107, -4207, -6307, -8407, -10507, -12607? -14707 What is the next term in 427, 851, 1275, 1699, 2123, 2547? 2971 What is the next term in -1298, -2477, -3644, -4793, -5918, -7013, -8072, -9089? -10058 What is next in 162, 149, 112, 39, -82, -263? -516 What comes next: -1052, -1041, -1016, -971, -900, -797, -656? -471 What is next in 1689, 1687, 1685, 1683? 1681 What comes next: -3, 9, 31, 63, 105, 157? 219 What is next in 2669, 2670, 2671, 2672, 2673, 2674? 2675 What is next in 39, 61, 85, 111? 139 What comes next: 36, 47, 58, 69, 80, 91? 102 What comes next: 80, 316, 712, 1268? 1984 What comes next: -127, -247, -365, -481, -595, -707? -817 What is next in 698, 702, 706? 710 What is next in -7142, -14284, -21426, -28568, -35710? -42852 What is next in 371, 361, 351, 341? 331 What is the next term in 171, 165, 159, 153, 147? 141 What is next in 18, 51, 86, 123? 162 What comes next: -3112, -3114, -3116? -3118 What is the next term in 113, 223, 333, 443, 553, 663? 773 What comes next: 57, 34, -13, -90, -203, -358, -561, -818? -1135 What is the next term in -31, -66, -101, -136? -171 What comes next: 780, 1567, 2354, 3141? 3928 What is the next term in -40, -21, 10, 47, 84, 115, 134, 135? 112 What is the next term in -25, -51, -99, -181, -309, -495? -751 What comes next: 2, -12, -26, -40? -54 What is the next term in -1118, -1096, -1074? -1052 What comes next: -653, -1306, -1959, -2612, -3265, -3918? -4571 What is next in -256, -302, -348, -394? -440 What is the next term in -46, -30, 34, 170, 402, 754, 1250? 1914 What is the next term in 5333, 5334, 5335, 5336? 5337 What is next in -41, -46, -49, -50? -49 What comes next: -43, -36, -29, -22? -15 What comes next: 18, 24, 30, 36? 42 What is the next term in -272, -271, -270, -269, -268? -267 What comes next: -386, -388, -388, -386, -382, -376, -368? -358 What is the next term in -767, -765, -761, -755, -747? -737 What is next in 95, 153, 243, 359, 495, 645, 803? 963 What is next in 21, 64, 119, 180, 241, 296, 339? 364 What is next in -76, -154, -232, -310, -388? -466 What comes next: -11, -6, -1, 4? 9 What is the next term in -109, -217, -327, -439, -553, -669, -787? -907 What comes next: -137, -131, -113, -77, -17, 73, 199? 367 What is the next term in -6432, -6431, -6430, -6429, -6428, -6427? -6426 What comes next: 44, 183, 326, 473, 624, 779, 938? 1101 What is the next term in -7, 3, 17, 35, 57, 83, 113? 147 What comes next: 2180, 4369, 6558? 8747 What comes next: -1689, -1593, -1483, -1353, -1197, -1009, -783, -513? -193 What is next in 229, 225, 219, 211, 201, 189? 175 What comes next: -815, -1642, -2469, -3296, -4123? -4950 What comes next: -195, -389, -583, -777? -971 What comes next: 22827, 22826, 22825, 22824? 22823 What is next in -48, -52, -56, -60, -64, -68? -72 What is next in 30, 46, 72, 108, 154? 210 What is next in 401, 398, 395, 392? 389 What is next in 54, 113, 172? 231 What is next in 6445, 12891, 19337, 25783, 32229, 38675? 45121 What comes next: 11, 9, -3, -31, -81, -159, -271, -423? -621 What is the next term in 9, -4, -7, 6, 41, 104, 201, 338? 521 What comes next: 337, 353, 377, 409, 449, 497? 553 What is next in 7400, 7399, 7398, 7397, 7396, 7395? 7394 What is next in 453, 909, 1365, 1821? 2277 What is the next te
{ "pile_set_name": "DM Mathematics" }
ulate the smallest common multiple of y and 6. 42 Let h be (52572160307/(-11))/(174/3). Let t = -82401543 - h. Let m = t - -1214/29. Calculate the common denominator of 25/2 and m. 22 Let r = 9853 - 196969/20. Find the common denominator of -87/10 and r. 20 Let u = 1283/42 - 161/6. Calculate the common denominator of u and -59/8. 56 Suppose 0 = -5*f + f + 8. Suppose -p + 2*h + 2*h + 2 = 0, 2*h + 8 = p. Calculate the least common multiple of p and f. 14 Suppose 3*o - 10 = 32. Calculate the least common multiple of o and 4. 28 Let n = -19 - -25. Calculate the lowest common multiple of n and 4. 12 Let l(i) = i + 3. What is the lowest common multiple of l(2) and 1? 5 Suppose s = 4*s + 3, -3*l = 5*s - 10. Suppose -3*v + 19 = -5*t + 6, 5 = 5*t. Suppose 116 - v = l*k. Calculate the least common multiple of k and 18. 198 Suppose -5*j - 16 = 64. Let m = 22 + j. Suppose -m = -3*g + 18. Calculate the lowest common multiple of g and 6. 24 Suppose t - 21 = -178. Find the common denominator of 4/(-22) + 1972/440 and t/(-42) - (-6)/(-9). 70 Suppose 5*r - 3*t = 16, -6 = 2*t + t. Calculate the lowest common multiple of 20 and r. 20 Let a be (-1)/2 + (-5)/(-2). Suppose -2*s = -t - 29, 2*s - t = -a*s + 53. What is the least common multiple of s and 8? 24 Suppose -5*g = -159 + 49. Let q = -73 - -107. Let n = -28 + q. Calculate the lowest common multiple of n and g. 66 Let x be 0/(3 + (2 - 3)). Suppose -v + 3*v = 3*s - 92, -64 = -3*s - 5*v. Suppose 2*t + x*t - s = 0. Calculate the smallest common multiple of t and 16. 112 Let a = 13/59 + 1043/354. Find the common denominator of -57/98 and a. 294 Let q = -7476400 - -119670869/16. Let r = 3031 - q. Find the common denominator of 71/8 and r. 16 Suppose 4*l = -1 + 9. Suppose d - 228 = -d. Find the common denominator of -109/10 and (l - 1) + d/(-27). 90 Let a = -1299 + 15533/12. Let q = 77990 + -26890. Let l = -1533157/30 + q. Find the common denominator of a and l. 60 Suppose 0 = j - 3 + 2. Let t be j*(1 - 4/2). Let d = -5 - t. Calculate the common denominator of d and -25/9. 9 Let u(i) = 2*i**2 + i. Calculate the smallest common multiple of 2 and u(-2). 6 Let h(v) = -2*v**3 - 2*v**2 - 4*v - 4. Calculate the lowest common multiple of h(-2) and 22. 132 Suppose 3 = 4*y - 9. Suppose 3*o - 10 = -2*n, -5*o = 2*n + 2*n - 18. Calculate the lowest common multiple of y and n. 6 Suppose -4*a - 1 + 25 = -3*o, 0 = -2*o - 5*a - 16. Let r = o - -11. What is the lowest common multiple of r and 1? 3 Let m = 4 - -12. What is the lowest common multiple of 6 and m? 48 Suppose -4*q = -4*n + 4, 4*q - 8 + 0 = -2*n. Suppose 3*v + 5*d = 3*d + 70, 4*d + 20 = n*v. What is the smallest common multiple of 6 and v? 60 Let v = 7/666 - 1361/999. What is the common denominator of v and 91/8? 216 Suppose 7*l = 136 + 18. Calculate the lowest common multiple of 12 and l. 132 Let v = -1355/9 + 153. Let z = -821/4 - -182. Find the common denominator of v and z. 36 Suppose 6 = -2*z + 5*z. Calculate the common denominator of z/6 - (-362)/12 and (6 - (-237)/(-24)) + 3. 8 Suppose -x - 2*x + 2*w = -40, 5 = x + w. What is the smallest common multiple of x and 10? 10 Let h be -2 + 1 - (11 + -2). Let j = -6 - h. What is the smallest common multiple of j and 1? 4 Suppose -3*r + 0*r = 87. What is the common denominator of 33/10 and r? 10 Let m = 12501 + -250073/20. What is the common denominator of m and 103/14? 140 Suppose -4*l - 3*a + 67104 = -a, 5*l - 83880 = -2*a. Let h = l + -302075/18. Find the common denominator of h and -59/2. 18 Find the common denominator of (-196)/16 + (4 + -4 - 1) and -67/4. 4 Let m = 540382 - 32421773/60. Let f = m - 111/5. Find the common denominator of -29/14 and f. 84 Let m(o) = -4*o - o**2 - 2*o**2 + 4*o**2. Let j be m(5). Suppose 0 = 3*w + 15, 6*w + 10 = -j*z + 2*w. Calculate the lowest common multiple of 20 and z. 20 Let m(y) = 2*y + 6. Let b be m(-4). Suppose t - 3*t = 54. Calculate the smallest common multiple of t/b - (-1)/2 and 6. 42 Suppose 2*i - 2 = 42. What is the lowest common multiple of i and 2/4 - 70/(-4)? 198 Suppose -j + 3*s = 4, -2*j - 36 = -4*j - 5*s. Suppose j*z - 15 = 3*z. Calculate the smallest common multiple of ((-56)/(-3))/4*z and 10. 70 Suppose 20 = 3*s + 2*m, s + m - 8 = -0*s. Suppose 0 = 4*v + 2*p - 80, 3*p + s = v - 16. Let d = 68 + -50. What is the lowest common multiple of v and d? 180 Suppose 2*y - 4*j = -144, -j = -2*y - 0*j - 153. Calculate the common denominator of (-56)/16*y/(-28) and -119/10. 20 Let a = 19 - -3. Suppose 5*w - 21 = 79. What is the lowest common multiple of a and w? 220 Suppose 1 = d + 10. Let j = 15 + d. Suppose 0*m - 18 = -m. Calculate the least common multiple of m and j. 18 Let c be (-558)/(-10) + 28/(-35). What is the smallest common multiple of 50/(-4)*(-44)/c and 8? 40 Let r = 497/6 + -78. Let o = -711 + 5006/7. What is the common denominator of r and o? 42 Suppose -24 = -5*n + 11. Let v(j) = -j**2 + 8*j - 1. Calculate the least common multiple of v(n) and 14. 42 Suppose -3*p + 4*s - 10 = 0, p + 0*s - 18 = -4*s. Calculate the least common multiple of p and 6. 6 Let u = -1731143/2610 - -5968/9. Let l = u - 91/29. Calculate the common denominator of l and 83/20. 20 Calculate the lowest common multiple of 9 and ((-2)/(-5))/((-19)/(-475)). 90 Calculate the common denominator of -31/6 and 2 + (5862/(-504) - (-2)/(-7)). 12 Calculate the common denominator of (-357)/69 + 2 + 2 and 48/7. 161 Let g = -9624 - -23137. Let t be 3240628/(-240) - (-2)/10. Let u = t + g. What is the common denominator of u and -93/22? 132 Let d(k) = -k**3 + 3*k**2 + k. What is the least common multiple of d(3) and 9? 9 Suppose -8 = -3*q - 41. Let u be (-33)/(-55) + (-2)/(-5). Let d = u - q. Calculate the lowest common multiple of 14 and d. 84 Find the common denominator of 19/14 and 12/28*314/36. 42 Let w be 7/((-248)/258 - -1). Let i = w + -182. Calculate the common denominator of 59/8 and i. 40 Let t = 1 - -6. Let r = 17 - t. Calculate the smallest common multiple of 18 and r. 90 Let y = -4 + 6. Suppose -y = f - 3*f. Find the common denominator of 6/5 and f/5 + (-2466)/(-120). 20 Let j be 0/(-1)*7/(-14). Suppose -5*x = -j*x + 5. What is the least common multiple of 4 and (-2 + x)*4/(-6)? 4 Suppose -13*i + 10*i = -18. What is the smallest common multiple of 4/(-5)*(-165)/6 and i? 66 Let z = 200/407 + 2/37. Suppose 2*v + 154 = 3*y, 3*v - 259 = -5*y + 4. Let l = y + -143/2. What is the common denominator of z and l? 22 Let h be (-2)/((-6)/5)*-3. Let u(l) = -l - 3. What is the least common multiple of 9 and u(h)? 18 Suppose q - 6*q = -30. Calculate the smallest common multiple of 9 and q. 18 Find the common denominator of (3/45*-8)/(66/(-275)) and 25/11. 99 Suppose u = 4*f - 88, -u - 22 - 22 = -2*f. What is the least common multiple of f and 4? 44 Let j = -51046/9 - -5666. Find the common denominator of -5 - -10*(-18)/75 and j. 45 Suppose -4*v = -8, -2*g + 4*v = -3*g + 16. What is the lowest common multiple of g and 36? 72 Suppose 5*d - 4*p + 7*p = 16, d - 2*p = -2. What is the smallest common multiple of (0 + -7)*(24/(-8) + 1) and 10/(d*1/4)? 140 Suppose 3*h - 4 - 2 = 0. Let p(b) = -b**3 + b - 15. Let m be p(0). Let s = 23 + m. Calculate the least common multiple of h and s. 8 Let r = 8 + -11. Let w be (r/(-1))/(5/(-5)). Let q(g) = -6*g - 2. Calculate the lowest common multiple of 18 and q(w). 144 Suppose l - 22 = q - 4*l, -5*l + 30 = -5*q. Let n = 0 - q. Suppose 8*g - 3*g - 4*i = 8, 4 = -2*g + 4*i. Calculate the lowest common multiple of n and g. 4 Let m(w) = -w**2 + 10*w + 45. Calculate the smallest common multiple of 5 and m(13). 30 Suppose 24 = 5*f - 4*w - 35, -2*w = -f + 13. What is the least common multiple of 11 and f? 11 Calculate the common denominator of 38/11 and -2 + 5 - 214/16. 88 Suppose 0 = 4*h - 3*q - 36, 5*h - 29 = 4*q + 15. Calculate the lowest common multiple of 12 and h. 12 Suppose -4*z - 44 = -2*k - 3*k, -2*z + 6 = k. Suppose 0 = 3*q - 5 - 1. What is the smallest common multiple of q and k? 8 Calculate the common denominator of 2 - ((-21)/(-20) + -2) and 113/18. 180 Let s = -4 - -10. Let z(r) = -6*r + 3. Let w be z(3). Calculate the smallest common multiple of 20 and (w - 3)*(-4)/s. 60 Let j(u) = 2*u**2 + 7*u - 5. Let d be j(-6). Let b = -10 + d. What is the common denominator of b
{ "pile_set_name": "DM Mathematics" }
prime factors of a(-24). 7, 151 Let v = -4175 + 4205. Let b = -9 - -36. Suppose -b*i - 114 = -v*i. List the prime factors of i. 2, 19 Let b = 35315 - 16038. What are the prime factors of b? 37, 521 Let c = 23 + -22. Let n be 73/c - (-2 - 1). Suppose -6*b + 218 = -n. What are the prime factors of b? 7 Let a(u) = -4*u**3 + 69*u**2 - 12*u - 26. List the prime factors of a(-10). 2, 23, 239 Suppose -4*q = -3*l + 12, q - 4*q - 16 = -4*l. Let a be (-6870)/(-40) - (0 - 1/l). Suppose -n = -5*u - a, 2*n + u + 36 = 369. List the prime factors of n. 167 Let p(c) = 456*c + 158. Let a be p(-7). Let w = -1486 - a. What are the prime factors of w? 2, 3, 43 Let m(l) = -l**3 + 4*l**2 - 12*l + 18. Let d be m(2). Suppose -2*x - i = -4*x + 517, 0 = -d*i - 10. List the prime factors of x. 2 Let t = -54 - -57. Let x(s) = 48*s**2 - s - 2. Let j be x(t). Suppose -6*g + 143 = -j. What are the prime factors of g? 5, 19 Suppose -23*v = -19*v - 224. Let p = v + 14. What are the prime factors of p? 2, 5, 7 Let s = 130 - 116. Suppose s*h = 6687 - 345. List the prime factors of h. 3, 151 Let u(r) = -4*r**2 - 20*r + 40. Let y be u(-13). Let t = 585 - y. What are the prime factors of t? 31 Let k(h) = -h**2 - 1. Let i be k(0). Let v(u) = -126*u + 1280. Let r be v(10). List the prime factors of 2362/r + i/10. 2, 59 Let w = -423 - -1702. What are the prime factors of (-22 - -17)*w/(-5)? 1279 Let r(s) = -29*s**3 + 12*s**2 - 7*s + 15. What are the prime factors of r(-6)? 3, 2251 Suppose 680851 = 123*v - 1207322. List the prime factors of v. 3, 7, 17, 43 Let h(k) = 4*k**2 + 70*k - 381. List the prime factors of h(-84). 3, 7321 Suppose -c + 4*d = -413, c = d + 135 + 263. Let o = c - -1087. List the prime factors of o. 2, 5, 37 Let y(r) = -1. Let p(l) = -4*l + 20. Let v(h) = p(h) + 24*y(h). Let w be v(-4). Let n = -5 + w. List the prime factors of n. 7 Suppose 6*f - 11*f - 3*t + 151493 = 0, -t + 151481 = 5*f. List the prime factors of f. 5, 73, 83 List the prime factors of ((-75)/(-50))/((-12)/(-36704)). 2, 31, 37 Suppose -6*q = -10*q + 12, 3*j - 2*q = 84. Suppose -188*m = -185*m - j. What are the prime factors of (0 - 134)/((-5)/m)? 2, 67 Let y = -51 - -19. Let j be 8/(-10)*80/y. Suppose 61 = -j*i + 3*i. List the prime factors of i. 61 Suppose -3*y + 6 = 3*r, r - y = -6*y - 2. Suppose 0*p - r*p = 378. List the prime factors of (-36)/p + 486/14. 5, 7 List the prime factors of (-8)/16*(-1 - (3 + -4)) + 10399. 10399 Let q = -213 + 309. What are the prime factors of 4/48 + 16792/q? 5, 7 What are the prime factors of (-363420)/(-14) - (-248)/(-434)? 2, 12979 Let j(k) = -k**2 - 44*k - 311. Let t be j(-35). Suppose -w - t*a = -180, 31*w = 32*w - a - 190. What are the prime factors of w? 2, 47 Let i = -1031 - -700. Let c = 603 + i. List the prime factors of c. 2, 17 What are the prime factors of (-361656)/(-63) - -4 - (-6)/14? 3, 5, 383 Suppose 5*h + 5*s - 359750 = 0, 144*s = 142*s - 10. What are the prime factors of h? 3, 5, 13, 41 Let b(m) = -100*m**3 - 15*m**2 - 54*m - 269. List the prime factors of b(-6). 5, 41, 103 Let o(d) = 546*d**2 + 392*d + 3479. List the prime factors of o(-9). 7, 6311 Let t = 2198 + 1017. List the prime factors of t. 5, 643 Let g(p) = 24*p**3 - 2*p**2 - p + 197. Let m be g(12). Suppose 0 = 31*t - m - 1907. List the prime factors of t. 2, 349 Let x be (7 - (-39)/(-6))*2116. Let q = 1832 - x. List the prime factors of q. 2, 3, 43 Let t(f) = -f**3 + 50*f**2 + 8*f - 148. List the prime factors of t(50). 2, 3, 7 List the prime factors of ((7/(-21))/((-28)/15816))/((-2)/(-14)). 2, 659 Let w be (32/80)/(2/270). List the prime factors of (-3)/18*1 - (-12915)/w. 239 Let f be 2/(-12)*-51*34. Let l be (1 - (-1 - -5))*-1. Suppose 3*i - 2*c - f = 166, 448 = l*i + 5*c. What are the prime factors of i? 151 Let j(o) be the first derivative of o**3/3 - o**2/2 - o - 33. Let q(u) = -2*u**2 + 11*u - 9. Let x(a) = 4*j(a) - q(a). What are the prime factors of x(3)? 2, 7 Let x(s) = -7250*s**3 + 3616*s**3 + 3618*s**3 + 4 - 10*s - 14*s**2. List the prime factors of x(-5). 2, 3, 71 Let m(q) be the first derivative of -20*q - 47*q**2 + 10 + 38*q - 20*q. What are the prime factors of m(-1)? 2, 23 Let v = -82 - -133. Suppose -n - 3*u - v = -8*u, 2*n - 4*u = -72. Let s = n - -68. List the prime factors of s. 2, 3, 7 Suppose -5*r - 3155 = b - 10830, -2*b + r + 15306 = 0. List the prime factors of b. 5, 1531 Suppose -2*x = 3*w - 75486, 3*x - 4*w = x + 75444. What are the prime factors of x? 2, 3, 19, 331 Let v = 159 + -138. Suppose -30*w + 31*w = v. List the prime factors of w. 3, 7 What are the prime factors of (19 + -53 - -30) + (35440 - (-1)/1)? 35437 Let h(u) = 32*u**2 + 6*u - 22. List the prime factors of h(3). 2, 71 Suppose 3*f + 345 = -7929. Let k = f - -3882. What are the prime factors of k? 2, 281 What are the prime factors of ((141723/(-6) - -1) + 0)/(3/(-6))? 97, 487 List the prime factors of (1/(6/(-1636)))/((-72)/1296). 2, 3, 409 Suppose -y + 8 = -3*y, 3878 = -3*k - 2*y. Let t = 2339 + k. Suppose -328 = 7*d - t. What are the prime factors of d? 103 Let f = 59 + -15. Let r = 49 - f. Suppose -d + 2*l + 5 = 2, -3 = d - r*l. List the prime factors of d. 7 Suppose 26203 = 4*t + a, -4*a = -4*t + a + 26185. Suppose -36*z + t = -11*z. What are the prime factors of z? 2, 131 Suppose -j - 1 = -5*q, 4*q - 1 = -4*j + 5*j. List the prime factors of 218456/420 + j/(15/2). 2, 5, 13 Let z = -10285 + 15210. What are the prime factors of z? 5, 197 Let a = 3279 - 1905. Suppose -2*b = 4*z - 2520, 3910 = 4*z - 2*b + a. What are the prime factors of z? 2, 79 List the prime factors of (-16)/(-20)*363545/26. 2, 7, 17, 47 Suppose -31 = 3*q + 23. Let f = 14 + q. What are the prime factors of 2/(-8) + f/((-48)/1383)? 5, 23 Let g(f) = -7*f - 164. Let q be g(-26). Suppose -d + q*d - 9401 = 0. List the prime factors of d. 7, 79 Suppose -10*n + 65 - 25 = 0. What are the prime factors of n*(-1)/12*-1230? 2, 5, 41 Suppose -19 = -2*r - 5*u, -3*u = -2*r + u + 28. Let h(s) = 5 - r*s**2 + 8*s**2 - 3*s - 8*s**3 - 7. List the prime factors of h(-2). 2, 13 Suppose 3*o - 9280 = r, 2*o - 9464 = 5*r - 3299. List the prime factors of o. 5, 619 Suppose -16*o + 9*o = -462. Suppose 0 = 2*p + o - 86. List the prime factors of p. 2, 5 Suppose 4*a = 4 - 200. Let m(o) = -3*o**2 - 183*o - 206. Let q be m(-59). Let c = q + a. List the prime factors of c. 3, 11 Let n(o) = 206*o + 1004. What are the prime factors of n(52)? 2, 29, 101 Suppose -10*x - 849 = -7*x. Let r = x - -1795. List the prime factors of (-2 - r/(-10)) + 9/(-45). 149 Let a(y) = 2*y**2 - y - 12. Let h be a(6). Let l = h + -144. Let g = l + 143. What are the prime factors of g? 53 Let c(n) = -8*n**3 - 2*n**2 - 6*n + 27. Let u be c(4). Let s = u - -818. List the prime factors of s. 277 Let x = 89 - 87. Suppose x*l - 936 - 230 = -4*u, 1141 = 4*u - 3*l. List the prime factors of u. 17 Suppose 11*r - 4*r + 3857 = 0. Let u = 235 + r. Let v = -217 - u. List the prime factors of v. 3, 11 Let d = -192 + 198. List the prime factors of ((-27)/d - -4)*-2 - -282. 283 Suppose -130*c = -124*c - 28266. What are the prime factors of c? 7, 673 Suppose 337*m - 2971154 = 4311416. List the prime factors of m. 2, 5, 2161 Let g be (169 - 165)*((-1)/(-2) + 0). Let j(k) = 148*k + 3. Let z be j(4). Suppose -g*x = -9*x + z. What are the prime factors of x? 5, 17 Let s be 12/20*-1*(-3484 + -21). Suppose 0 = -3*v + 25*n - 26*n + s, 5*n = 2*v - 1402. What are the prime factors of v? 701 List the prime factors of (-27)/(-144) + (-18785439)/(-432). 3, 5, 13, 223 Suppose -14*i = -25*i + 66. Let x be 283/i - 1/6. Let k = 4 + x. List the prime factors of k. 3, 17 Let p(j) = -5*j**3 - 23*j**2 + 26*j - 26. Let b(d) = 6*d**3 + 25*d**2 - 28*d + 25. Let s(n) = 4*b(n) + 5*p(n). List the prime factors of s(-17). 2, 11 List the prime factors of 84/140 - (-96328)/(-5)*(-5)/20. 4817 Let d(y) = -y**2 + 9*y - 13. Let p be d(12). Let h = p - -56. Let g = h + 7. List the prime factors of g. 2, 7 Let u(j) be the third derivative of 5*j**4/24 + j**3/6 + 7*j**2. Let o be u(-6). Let i = o + 43. List the prime factors of i. 2, 7 List the prime factors of (-23073)/(-5)*(4 + -3)/((-8)/(-40)). 3, 7691 Suppose -a + 16 = -0*a - 3*i, -5*i - 24 = -a. Suppose -13*j = -a*j - 441. What are the prime factors of j? 7 Suppose 87 =
{ "pile_set_name": "DM Mathematics" }
344931? False Is 36 a factor of 184421? False Is 14 a factor of 638750? True Is 599356 a multiple of 61? False Is 5 a factor of 491358? False Does 169 divide 294437? False Is 258 a factor of 1056252? True Is 62 a factor of 293723? False Does 14 divide 66584? True Is 587 a factor of 5152099? True Does 306 divide 638316? True Is 4 a factor of 7692? True Is 371441 a multiple of 1129? True Does 62 divide 224870? False Is 52 a factor of 171576? False Is 69240 a multiple of 16? False Does 145 divide 3783104? False Does 2 divide 120720? True Is 189552 a multiple of 16? True Does 93 divide 85967? False Is 563 a factor of 1241978? True Does 72 divide 49522? False Is 6752016 a multiple of 36? True Does 249 divide 482205? False Is 73 a factor of 4828950? True Is 1492610 a multiple of 7? True Does 284 divide 4434092? True Is 35 a factor of 4108442? False Is 299988 a multiple of 117? True Is 114 a factor of 4423613? False Does 108 divide 139320? True Does 62 divide 528488? True Is 352305 a multiple of 156? False Does 27 divide 4602285? True Is 97856 a multiple of 96? False Is 31571 a multiple of 131? True Does 5 divide 2382155? True Is 19867797 a multiple of 2313? False Is 1115123 a multiple of 14? False Does 47 divide 424146? False Is 903365 a multiple of 383? False Is 173 a factor of 645636? True Does 220 divide 175963? False Is 20 a factor of 1110856? False Is 51167 a multiple of 4? False Is 7 a factor of 153194? False Does 543 divide 770336? False Does 15 divide 1587960? True Does 1229 divide 11879110? False Is 21 a factor of 310233? True Does 400 divide 220800? True Is 32 a factor of 632032? True Does 42 divide 757657? False Is 35 a factor of 671195? True Does 202 divide 2512951? False Does 12 divide 20076? True Is 84742 a multiple of 73? False Does 125 divide 13625? True Is 156 a factor of 76284? True Is 13 a factor of 257282? False Is 2 a factor of 17181? False Is 2308797 a multiple of 9? True Does 31 divide 1443312? False Is 206425 a multiple of 25? True Is 117 a factor of 94887? True Does 30 divide 43419420? True Does 168 divide 253848? True Is 148 a factor of 741849? False Does 100 divide 600310? False Does 142 divide 248358? True Does 7 divide 141757? True Is 89 a factor of 92849? False Is 607 a factor of 9787606? False Is 1601453 a multiple of 14? False Is 19 a factor of 154318? True Is 22 a factor of 45749? False Is 16163253 a multiple of 1269? True Is 73 a factor of 60483? False Is 54 a factor of 8703310? False Is 19386 a multiple of 54? True Does 202 divide 87264? True Is 895 a factor of 2444245? True Is 92649 a multiple of 89? True Does 17 divide 174250? True Is 378336 a multiple of 94? False Is 6728606 a multiple of 46? False Does 87 divide 501816? True Is 4 a factor of 572260? True Does 224 divide 167776? True Does 105 divide 207047? False Is 31 a factor of 144491? True Does 103 divide 17171017? False Is 107 a factor of 6033730? True Is 2744843 a multiple of 417? False Is 26288 a multiple of 62? True Is 215534 a multiple of 97? True Does 8 divide 633024? True Is 143466 a multiple of 85? False Does 303 divide 498170? False Is 1142276 a multiple of 78? False Is 181 a factor of 404005? False Does 9 divide 6112? False Is 2351015 a multiple of 17? True Does 10 divide 296190? True Is 175981 a multiple of 13? True Is 145 a factor of 114651? False Is 37 a factor of 396598? False Does 16 divide 65040? True Does 37 divide 130610? True Is 88 a factor of 6932728? True Is 336 a factor of 130497? False Does 1035 divide 745200? True Is 47 a factor of 7548153? True Is 3 a factor of 5151? True Does 40 divide 140840? True Is 43 a factor of 785249? False Does 8 divide 84932? False Does 405 divide 122310? True Does 60 divide 1690920? True Does 31 divide 261872? False Is 559843 a multiple of 24? False Does 115 divide 2133480? True Is 8 a factor of 66814? False Is 142 a factor of 31793374? True Is 42 a factor of 85344? True Does 330 divide 909367? False Is 10263232 a multiple of 739? True Does 4 divide 48544? True Is 3 a factor of 3250? False Is 257918 a multiple of 146? False Does 80 divide 190640? True Is 24 a factor of 1425000? True Is 2776396 a multiple of 1732? True Does 9 divide 157671? True Is 94 a factor of 325240? True Does 712 divide 10956968? True Does 35 divide 1920034? False Is 696140 a multiple of 10? True Is 4681752 a multiple of 228? True Is 2020650 a multiple of 75? True Does 25 divide 68875? True Does 13 divide 5818388? False Does 874 divide 12857855? False Is 51552 a multiple of 10? False Is 147430 a multiple of 8? False Is 337 a factor of 150596? False Is 863555 a multiple of 23? False Is 37 a factor of 3011985? True Is 5 a factor of 180757? False Is 84 a factor of 16780428? True Is 253 a factor of 55660? True Does 9 divide 98280? True Is 11 a factor of 139304? True Is 548 a factor of 148636? False Does 499 divide 1885182? False Is 231048 a multiple of 12? True Does 49 divide 2422188? False Is 35 a factor of 563389? False Does 90 divide 37355? False Is 23 a factor of 545057? False Is 25 a factor of 1161037? False Is 3 a factor of 3191391? True Does 665 divide 107065? True Does 207 divide 339314? False Is 1057 a factor of 300188? True Is 17 a factor of 82656? False Does 85 divide 81345? True Is 99 a factor of 153351? True Does 487 divide 22086911? True Is 72 a factor of 39600? True Is 18 a factor of 41490? True Is 2081730 a multiple of 862? True Is 5561340 a multiple of 15? True Does 1259 divide 7115868? True Is 60606 a multiple of 21? True Is 23 a factor of 6669927? False Is 264061 a multiple of 131? False Does 15 divide 334619? False Is 46 a factor of 300886? True Does 7 divide 8492000? False Does 4 divide 968473? False Is 14864894 a multiple of 234? False Is 16 a factor of 12343408? True Is 18 a factor of 17429436? True Is 73 a factor of 134174? True Is 36 a factor of 63756? True Is 1450760 a multiple of 40? True Does 17 divide 67082? True Does 45 divide 3358473? False Is 115 a factor of 2063526? False Is 52 a factor of 264951? False Is 9 a factor of 241254? True Does 15 divide 88305? True Is 139 a factor of 1200718? False Is 6976467 a multiple of 1517? False Does 63 divide 1617792? False Is 2459381 a multiple of 546? False Is 24 a factor of 1005359? False Is 28 a factor of 68624? False Is 100 a factor of 331101? False Is 9 a factor of 963974? False Does 262 divide 184710? True Does 245 divide 570293? False Is 1164 a factor of 253869? False Is 22 a factor of 13860? True Is 152439 a multiple of 3? True Is 184 a factor of 2596056? True Is 1070240 a multiple of 8? True Does 423 divide 148050? True Does 47 divide 46890? False Is 491 a factor of 1760540? False Is 104 a factor of 45518? False Does 33 divide 63739? False Is 26 a factor of 14486634? False Does 742 divide 5425448? False Is 68 a factor of 194412? True Does 75 divide 297077? False Is 447125 a multiple of 511? True Is 510 a factor of 9695100? True Is 60 a factor of 1270655? False Does 7 divide 163737? True Is 1253715 a multiple of 42? False Does 4 divide 918796? True Does 4 divide 48641? False Is 4003725 a multiple of 1055? True Is 26 a factor of 806635? False Is 4642329 a multiple of 4? False Does 231 divide 47124? True Does 8 divide 543032? True Is 267 a factor of 166670? False Is 3196 a multiple of 6? False Is 5 a factor of 25593? False Does 10 divide 17471? False Is 23 a factor of 3226056? False Is 51 a factor of 4100451? True Is 574837 a multiple of 426? False Does 73 divide 303096? True Is 46 a factor of 36340? True Is 426717 a multiple of 47? False Is 251389 a multiple of 101? True Does 132 divide 525360? True Is 4 a factor of 681348? True Is 288558 a multiple of 18? True Is 217 a factor of 92974? False Does 11 divide 107369? False Does 103 divide 180250? True Is 27 a factor of 407241? True Is 1130 a factor of 440861? False Is 208916 a multiple of 25? False Is 37582 a multiple of 67? False Is 34 a factor of 209236? True Is 168 a factor of 416640? True Is 27664274 a multiple of 118? True Is 5 a factor of 857593? False Is 3 a factor of 297774? True Is 124147 a multiple of 6? False Does 26 divide 11813906? True Does 192 divide 69858? False Does 191 divide 100848? True Does 63 divide 224677? False Does 15 divide 2269625? False Is 302945 a multiple of 67? False Is 2471029 a m
{ "pile_set_name": "DM Mathematics" }
) = 1517*g - 138046. Let q be j(91). Let r = -7.3 + 7. What is the closest to r in q, -3, 1.9? q Let u(w) = 3*w + 14. Let z be u(-5). Suppose -3*l + 25 = 4*x, -3*l + 3*x - 6 + 3 = 0. Which is the nearest to 2? (a) -1/2 (b) z (c) l c Let p = 6463 + -6463. What is the nearest to p in -124, -2/3, 1? -2/3 Let v = -368 - -366.43. Let i = 1.77 + v. Which is the nearest to 2/11? (a) -0.4 (b) i (c) -0.3 b Let v = 75 - 143. Let f = v - -67.979. Let i = f + -2.979. Which is the closest to 2? (a) 3 (b) 1/7 (c) i a Let r = -273 + 249. Let o be 8/(-12) - 4/3. What is the nearest to 1 in r, -1/4, o? -1/4 Suppose 3*x - 4 = 44. Let l = -14 + x. Let s be -4*35/(-60) - l. Which is the nearest to s? (a) 4/5 (b) -2/3 (c) -1/3 a Let v = 0.7342 + -0.3342. Which is the nearest to 0? (a) 1.3 (b) -1/18 (c) v b Suppose 3*r - 3 = 0, -2*r + 17 = 3*w - 0*w. Let k = 152 - 149. Which is the nearest to 0? (a) k (b) 0.3 (c) w (d) -22 b Let h be 6 + (32/(-192))/(3/96). What is the closest to 1/4 in 7/12, h, -2, -1/10? 7/12 Let h = 3574 - 3573.5598. Let g = h - -0.0598. What is the nearest to 1 in -3, g, -4? g Let v = 105667/5 - 21134. Which is the nearest to 0? (a) 397 (b) 0.03 (c) v (d) -4 b Let i = -21942 - -21962. What is the nearest to 0.3 in i, -2, 0.5? 0.5 Suppose 2*y + 21 = -x - 10, 2*y = 5*x + 167. Let l be x/11 + 38/14. Which is the nearest to l? (a) 0.4 (b) -2/25 (c) -3 (d) -2 b Let x = -10655 + 10654. Which is the closest to x? (a) 1 (b) -1 (c) -7.4 b Let j = -0.2016 - -0.1416. Let h = -29 + 115/4. Which is the nearest to -5? (a) j (b) 0.3 (c) h c Let s = 3.96 - -0.04. Let z = -9535 - -9534.8. Which is the closest to -1/3? (a) s (b) 0.2 (c) z (d) -2 c Let x = 1802 + -1980. What is the nearest to -0.5 in -0.2, x, 5? -0.2 Let d = -49.8 - -55. Let q = -5.6 + d. Let h = -22 - -17. What is the closest to -2/5 in 2/3, q, h? q Let w = 13964 + -13937. Which is the closest to -1? (a) w (b) 2/19 (c) 5 (d) -4 b Let m = 11267.3 - 11267. Let y = 0.2 - 0.7. Let s be (-2)/8 - (-3)/(-20). What is the nearest to s in m, y, 1? y Let m = -0.826 + 1.919. Let x = 0.093 - m. Let r(v) = -v**2 - 5*v + 7. Let a be r(-6). What is the nearest to a in -2, 2/3, x? 2/3 Let r = -29520 - -8058998/273. Let w = -11/39 + r. What is the closest to 2 in w, -1/2, -0.2, -2? w Let d = 1845 + -1265. Let i = d + -579.4. What is the nearest to 2/5 in i, -0.1, 2? i Let a(z) = -8*z + 41. Let h be a(5). Let r = -195/7 - -28. What is the closest to h in 0.3, r, -1/4? 0.3 Let o(s) = s**3 + 5*s**2 - 3*s - 15. Let h be o(-5). Suppose -4*d + 8 = 4*g, 3*g - 2*d + 2 + 17 = h. Let k = 0.15 - 0.25. What is the closest to k in g, -4, 4? g Let x = 35 - 31. Suppose x*i - 76 = 8. Let z = 20 - i. Which is the nearest to -1? (a) z (b) 2/13 (c) -3 a Let k(d) = d**2 + 232*d + 1136. Let w be k(-5). Let u(z) = -2*z. Let t be u(-2). Let n = t + -8. Which is the nearest to w? (a) n (b) 1/2 (c) 4 b Let s = -29 - -29.4. Let z = -40 - 17.5. Let u = 58 + z. Which is the closest to 0.3? (a) s (b) 4 (c) u a Let v = -105 - -105.5. Let l be 21/(-9)*12/(-14). Which is the closest to l? (a) -8 (b) 5 (c) v c Let b = -1054 - -1056. Let y = 56296 - 620068/11. Let w = -74 - y. What is the nearest to b in -0.1, w, 0.6? 0.6 Let x = -11 + 16. Let m = -1 + x. Let w be 5/10*286/(-143). Which is the nearest to -2/5? (a) w (b) m (c) -1/3 c Let w = 34.181 - 34. Let z = w + -0.081. Which is the closest to 0? (a) -2 (b) z (c) 0.01 c Let l = 12511 - 12467. Which is the closest to -1/4? (a) l (b) 0.05 (c) -0.1 c Let n = -2738/9 + 2740/9. What is the closest to 0.3 in 2/7, -0.3, 4/5, n? 2/7 Let m = -5.598 + 5.818. What is the nearest to 1/10 in 0, -49, m? 0 Let i = -362992 + 362989. Let j be (-4)/10*(-2)/4. Which is the nearest to j? (a) 0.1 (b) i (c) -10 a Let v = -163340/21 - -7778. Let l = 0.2 + 0.8. What is the nearest to -3 in -2, l, v? -2 Let q = 9857 - 9857. Which is the closest to q? (a) 0.2 (b) -5 (c) -3/14 a Let p = -0.0531 + -189.7469. Let q = p - -189. What is the nearest to 3 in 5/3, q, -1/8? 5/3 Suppose -4*d = x + 26, -5*x - 2*d - 38 = 38. Let p be (-7)/x*10 - 6. Let a = 0.7 - -0.3. What is the closest to p in a, -0.1, -1? -1 Let y = -24774 - -24772. Which is the closest to 0? (a) 1/4 (b) y (c) -3 (d) 0.02 d Let s be (-31)/(-18) + (4/(-20))/((-4)/(-30)). Which is the closest to s? (a) -2/15 (b) 0.5 (c) -3 (d) -5/36 b Let l = -1202 + 1202.1. What is the closest to l in 9, -3/7, 1/9, -4? 1/9 Let u be -2 + 18/(-16) + 3. Let p = 0.806 + -0.606. What is the nearest to -24 in u, p, -5? -5 Suppose -7*m = -2*m - 3*p - 12, -3*p - 3 = -2*m. Let g be m + -6 - 15/(-3). Suppose -15*t - 42 = -57. Which is the nearest to t? (a) g (b) 3 (c) 1 c Let w = 1.5 - 1.45. Let j be 1/(7/(-70)*1). What is the closest to 1 in w, j, 0.3? 0.3 Let b(g) = g**3 - 6*g**2 - 40*g + 188. Let r be b(4). What is the nearest to 26 in 1/4, -0.4, r, -5? 1/4 Let y = 28097.0162 + -28101. Let v = y - 0.0162. What is the nearest to 1 in -4/5, v, 0.1? 0.1 Let t = 49639.4 + -49643.4. Let b = 0.22 + 0.08. Let s = -0.5 + b. What is the closest to s in -3, t, 2/17? 2/17 Suppose -2*v = 3*v - 385. Let t be (-110)/v*7/4. Which is the closest to 0.1? (a) -2/7 (b) t (c) 0.2 c Let s = -2.7 + 2.71. Let y = s - 2.21. Let x = 3.83 - 3.53. What is the closest to 0.1 in 3, y, x? x Let m be 14/88 - 2/8. Let q be 196/210*(-9)/(-6) + (-870)/(-75). What is the closest to -2/3 in m, -1/3, q? -1/3 Let k be 3/111*((-15)/10 - -9). Which is the nearest to 0.1? (a) k (b) -2/13 (c) -2/5 a Let p = -3.969 - -4.069. Let g = -8.3 - 0.7. Which is the nearest to 2/5? (a) g (b) -0.3 (c) p c Let r = -2/6187 + -12368/18561. What is the nearest to -8 in -2.6, r, -1? -2.6 Let y = 134 + -93.3. Let x = -0.02 + -40.98. Let m = y + x. Which is the nearest to 1/3? (a) m (b) -1 (c) -3 a Let m = -942 - -946. Which is the closest to 2/9? (a) m (b) 0 (c) 2/3 b Suppose -2*t = -j + 6*j + 123, 3*j = t - 65. Let y = -28 - j. Let o = -2.125 + 1.825. Which is the closest to o? (a) y (b) 5 (c) -0.4 c Let w be ((12444/18)/(-17))/(1/(-24)). Suppose 967*o = w*o. Which is the nearest to o? (a) -0.2 (b) -4 (c) -8 (d) 2 a Let d = 88 + -981. Let y = 893 + d. Which is the nearest to -1/2? (a) 0.5 (b) y (c) 2 b Let z = -435.8 - -430.8. Which is the nearest to 0.2? (a) 0.1 (b) 0.6 (c) z (d) 0.4 a Suppose 20*q = 23*q. Suppose 4*p = -16 + 44. Suppose -p*x + 12*x - 15 = q. Which is the nearest to 0.1? (a) 0.5 (b) x (c) -0.1 c Suppose 5*c - 2*s = -286, 170 = -c - 2*c + 2*s. Let v = 404/7 + c. What is the nearest to 8 in 4, -3/2, v? 4 Let i = 6143 + -6143.03. Which is the nearest to i? (a) -0.2 (b) -1/6 (c) -1.1 (d) -1 b Let h = 0.75 - -0.05. Let d = h - 1. Suppose 0 = 28*x + 23869 - 23981. Which is the closest to -1/2? (a) d (b) 0.3 (c) x a Let k = -1275 + 1283. What is the nearest to 6 in -3, k, 0.5? k Let o = 214.65 + -214.75. Which is the nearest to 7? (a) o (b) 4 (c) -2/7 (d) 1.6 b Let z be 5*(-7)/(-10)*(-6)/(-42). Which is the nearest to 0.1? (a) 5/3 (b) 0.4 (c) -3 (d) z b Let j = -58/101 - 28/303. Which is the closest to -8? (a) -4 (b) -6 (c) j b Let z = 20/1559 - -6136/7795. Which is the nearest to 0.095? (a) z (b) -2/11 (c) 0.2 (d) -4 c Let u = -2696 + 2696.2. Let g = -22 - -9. Which is the closest to -1? (a) 0 (b) g (c) u (d) -0.1 d Let s = -7967 + 7967.2. Which is the nearest to -1/4? (a) 2/7 (b) -2/3 (c) -0.9 (d) s b Let j = 1.8 + -2.3. Let f = -0.27 + -10.73. Let d = f - -11. What is the nearest to 2 in d, j, -0.1? d Let j = -12 + 8. Let i = 5.6844 + -5.5844. Which is the nearest to 0.1? (a) i (b) -0.5 (c) j a Let g = -2407 - -2406. Which is the nearest to g? (a) 5 (b) -0.2 (c) -0.3 c Let v = -10190.1 + 10190. Which is the closest to -78? (a) 1/2 (b) -4 (c) v (d) -0.2 b Let b be (-8)/30*54/24. What is the nearest to 9 in -2/17, b, -0.5? -2/17 Suppose 171*k - 167*k - 16 = 0. Suppose -135 = 146*v + 232 + 217. Let m be (1*-2)/((-5)/2). Which is the closest to -1/2? (a) v (b) m (c) k b Let z = -7949 - -7942. What is the closest to 1 in -7/5, -8, -0.1, z? -0.1 Let k be (20/(-30))/((-4)/6). Let t = 6 + -7. Let y be (-1)/(-3*(-6)/36 - 1). What is the nearest to k in 2/9, t, y? 2/9 Let o = 168 -
{ "pile_set_name": "DM Mathematics" }
fferentiate -563037*n**2 + 1827142 with respect to n. -1126074*n What is the second derivative of 13819*a**2*o**3 - a**2*o**2 + 605*a**2*o - 41*a*o + o**3 wrt o? 82914*a**2*o - 2*a**2 + 6*o Differentiate 6673*v**4 + 4*v**2 + 36577 with respect to v. 26692*v**3 + 8*v Find the first derivative of d**4 + 45124*d**3 - 44424. 4*d**3 + 135372*d**2 Differentiate -2773*x*z**2 - 567751*x - 66*z**4 wrt z. -5546*x*z - 264*z**3 What is the derivative of 148996*y**2 - 20671? 297992*y Differentiate 411397*l*p**2 + 472531*l with respect to p. 822794*l*p Differentiate -97580*j**2 + 1217478 with respect to j. -195160*j Find the second derivative of -d**2*r**2 - 2561443*d**2*r - 645*d*r**2 + 499*d*r wrt d. -2*r**2 - 5122886*r What is the third derivative of -o**6 + 34*o**4 + 726*o**3 + 14764*o**2 + 21*o - 3? -120*o**3 + 816*o + 4356 What is the derivative of 801286*i**4 - 220338? 3205144*i**3 What is the derivative of -6*d**2*o + 21*d**2 + 63*d*o**3 + 8*d*o - 505879*o**3 wrt d? -12*d*o + 42*d + 63*o**3 + 8*o Find the second derivative of 15874*k**2*u**2 - 160*k**2 + 5*k*u - u - 3 wrt u. 31748*k**2 What is the second derivative of -217*g*w**2 - 95*g*w + 74*g - 7*w**3 - 9*w**2 - 2*w wrt w? -434*g - 42*w - 18 What is the second derivative of -695*d**2*j**2 - 3*d**2*j*m - d**2*j + 55*d**2 + 2*d*m - 3*j**2*m + 6*j*m wrt j? -1390*d**2 - 6*m What is the derivative of -576005*m**2 + 131401 wrt m? -1152010*m What is the first derivative of 2*g**2*v + 38*g**2 - 71*g*v**2 + 16*g + 66*v**2 - 15*v - 330 wrt v? 2*g**2 - 142*g*v + 132*v - 15 What is the derivative of 26486*s**2 + 32207? 52972*s Find the second derivative of 42*n**4 - 11*n**3 + 11*n**2 - 339408*n wrt n. 504*n**2 - 66*n + 22 What is the second derivative of -77*k*l**3*u**3 + 22*k*l**2*u - 975*k*u**2 - 18*l**3 - 80*l**2*u - u wrt u? -462*k*l**3*u - 1950*k Find the second derivative of -99*x**5 + 10197*x**4 - 22*x - 242 wrt x. -1980*x**3 + 122364*x**2 What is the third derivative of -3428*j**6*p + j**5*p - j**2 - 5*j*p + 94*p + 4 wrt j? -411360*j**3*p + 60*j**2*p What is the third derivative of -125*k**2*r**5 - 3428*k**2*r - k*r**2 - 114*r**5 wrt r? -7500*k**2*r**2 - 6840*r**2 Find the third derivative of -208370*x**3 - 3809*x**2. -1250220 What is the third derivative of -21*c**3*h*s**3 - c**3*s**3 - 324*c**3*s + 11512*c**2*h*s**2 + 2*c**2*s**3 + 2*c*h*s**3 + c*s**2 wrt c? -126*h*s**3 - 6*s**3 - 1944*s What is the second derivative of -4313*a**3*s + a**3 - 3*a**2*s - a*s + 9*a - s - 667 wrt a? -25878*a*s + 6*a - 6*s What is the second derivative of 116325*t**3 + 142968*t wrt t? 697950*t Find the third derivative of x**5 + 82*x**4*z - 417*x**3 - 2*x**2 - 2618*x*z + 136*z wrt x. 60*x**2 + 1968*x*z - 2502 Find the third derivative of -58762*y**3 + 60475*y**2 wrt y. -352572 Find the second derivative of -53541*g**5 + 24540*g. -1070820*g**3 Find the third derivative of -23498*o**6 + 52693*o**2 + 2. -2819760*o**3 What is the second derivative of 5*g**3 + 104739*g**2 + 681*g + 3? 30*g + 209478 What is the third derivative of -2*n**3*s*y**3 - 9*n**3*s*y**2 + 309*n**3*y**2 + 418*n**2*s*y**3 + 3*n**2*s*y**2 wrt y? -12*n**3*s + 2508*n**2*s Find the first derivative of -19984*r**2 + 2*r - 18729. -39968*r + 2 Differentiate 23*g*o*w - 2*g*o - 82563*g*w + 2*g - 10*o*w - 2*o with respect to o. 23*g*w - 2*g - 10*w - 2 Differentiate -25899*z**4 + 60766 wrt z. -103596*z**3 What is the third derivative of -711*h**2*u**4 - 14*h**2*u**3 + 69*h**2*u**2 - 6*h**2 + 2*h*u**2 - 2*h - 9*u**3 - 190*u wrt u? -17064*h**2*u - 84*h**2 - 54 What is the derivative of -52*d**2 - 2*d - 332761? -104*d - 2 Differentiate -137*g**4*l + 80*g*l**3 - 15516*l**3 + 2*l**2 with respect to g. -548*g**3*l + 80*l**3 What is the second derivative of 324170*z**4 + 296552*z wrt z? 3890040*z**2 Find the second derivative of -2392115*n**3*u**2 - 2*n**3*u - 338*n**3 - 30*n*u - 4*u - 3 wrt u. -4784230*n**3 What is the third derivative of 219702*n**3*o**3 + 2*n**3*o**2 - 108*n**2*o**3 + n**2*o**2 + n**2 + 1407*o wrt n? 1318212*o**3 + 12*o**2 What is the derivative of -7*k**3*m**2 - 557*k**3*m + 18644*m**2 wrt k? -21*k**2*m**2 - 1671*k**2*m What is the third derivative of -42090*g*k**3 + g + 4*k**3 + 2614*k**2 - 1 wrt k? -252540*g + 24 Find the first derivative of -1229*a**2*n**2 - 2*a**2 - 8*a*n**4 - 3*a - 9574 wrt n. -2458*a**2*n - 32*a*n**3 What is the third derivative of -40236*k**3*z**2 - 113*k**2 + 54*z**2 wrt k? -241416*z**2 What is the second derivative of -2*g**3*u + 9*g**3 - 43*g**2*u + 17*g**2 - 4799*g*u + 8*g + u wrt g? -12*g*u + 54*g - 86*u + 34 What is the first derivative of 78806*v**3 + 5*v - 1917098? 236418*v**2 + 5 What is the derivative of 544750*o**4 - 526890? 2179000*o**3 Find the second derivative of 29*b*m**2*z - 4*b*m**2 + 5*b*z**2 - 11*m**2*z**2 - 312*m*z**3 + 7*z wrt z. 10*b - 22*m**2 - 1872*m*z Find the third derivative of 201165*a**5 + 2*a**4 + a**3 - 80*a**2 + 8*a - 3. 12069900*a**2 + 48*a + 6 Find the first derivative of 123287*n*r - 4505494*r wrt n. 123287*r Differentiate 2*l**4 - 2199280*l**2 + 2424140 with respect to l. 8*l**3 - 4398560*l Find the second derivative of -194*p**2*r**3 - 70*p**2*r**2 - 7*p**2*r - p*r**2 - 6160*r wrt r. -1164*p**2*r - 140*p**2 - 2*p What is the derivative of -2999*p**2 + 110*p + 1932995? -5998*p + 110 Find the second derivative of -39070*x**2 - 49905*x. -78140 What is the third derivative of -28*r**5 + 901*r**4 + r**2 - 18398? -1680*r**2 + 21624*r What is the second derivative of 167213*g**3 + 5*g**2 - g - 1209574? 1003278*g + 10 Find the first derivative of 256*n**2 + 30*n - 13571. 512*n + 30 Differentiate -9*l**3 - 390*l*w**3 - 329379*w**3 wrt l. -27*l**2 - 390*w**3 Find the second derivative of 868435*b**2 - 32307*b + 9 wrt b. 1736870 Find the third derivative of 58*b**5 + b**4 - 95*b**3 - 13*b**2 + 6*b - 95 wrt b. 3480*b**2 + 24*b - 570 What is the first derivative of -10*p**3*w + 1262*p**3 + w + 38966 wrt p? -30*p**2*w + 3786*p**2 What is the derivative of 8369*x**4 + 20741 wrt x? 33476*x**3 Differentiate 2*b**2*f**2 - 1452464*b**2 - 37*b*f**2 + 600*f with respect to f. 4*b**2*f - 74*b*f + 600 Find the third derivative of -2*b**4*m**2 - 156503*b**4*m + 2355*b**2 + 495*b*m**2 wrt b. -48*b*m**2 - 3756072*b*m Find the second derivative of 53*g**2*l**3 + 2*g**2*l**2 - 7*g**2*l - 124*g**2 - 2*g*l**2 + 60077*l**3 wrt g. 106*l**3 + 4*l**2 - 14*l - 248 What is the third derivative of -861940*d**5 - 613497*d**2? -51716400*d**2 What is the third derivative of 37605*q**2*t**4 + 19*q**2*t**3 + 8*q**2 - q*t - 12*t**2 + 392*t wrt t? 902520*q**2*t + 114*q**2 What is the third derivative of -271335*j*n**4 + 11*j*n**2 - n**4 + 323*n**2 wrt n? -6512040*j*n - 24*n What is the third derivative of f**4*l + 2*f**4 + 3*f**3*l + 894*f**3 + f**2*l - 16822*f**2 - f wrt f? 24*f*l + 48*f + 18*l + 5364 What is the derivative of -30960*n**4 + 1188? -123840*n**3 What is the second derivative of 20049*b**3*f**2 - 20052*b**3*f wrt f? 40098*b**3 What is the third derivative of 14*j*t**3*x + j*t**3 - 5*j*t**2 + 3*j*t - 201*j + 46*t**3*x + 24*t**3 + t**2*x - 2*t**2 + 2*t*x wrt t? 84*j*x + 6*j + 276*x + 144 What is the second derivative of 78*b**3*h*s**2 + 3*b**3*h + 8*b*h*s**3 + 16*b*h*s**2 - b*h*s - 22*b*h - 7*s - 10 wrt s? 156*b**3*h + 48*b*h*s + 32*b*h Differentiate -65853*h**3 + 67006 wrt h. -197559*h**2 Find the second derivative of -140052*n**4 - 147595*n wrt n. -1680624*n**2 Differentiate 2*s**3 - 86*s**2 + 8476*s + 1094124 wrt s. 6*s**2 - 172*s + 8476 Find the second derivative of -4*j**4 + 6951*j**3 + 3*j**2 - 356939*j wrt j. -48*j**2 + 41706*j + 6 What is the derivative of -12*c**3 + 12991*c**2 + 2*c + 496210 wrt c? -36*c**2 + 25982*c + 2 What is the second derivative of -19*o*s*v**2*w - 29*o*s*v + 3*o*v*w**2 + o*w**3 - 10*o*w + 2*s*v**2 - 2*s*w + 4379*v**2*w**3 wrt v? -38*o*s*w + 4*s + 8758*w**3 Find the third derivative of 71*j**6*v**2 + 2117*j**6 - 12626*j**2 - 7*j*v**2 + 4*v**2 wrt j. 8520*j**3*v**2 + 254040*j**3 What is the third derivative of -c*u**3 + 13*c*u**2 + 2029*c + 1699*u**3 wrt u? -6*c + 10194 What is the third derivative of 114*d**4 + 35*d**3 - 28*d**2 - 83*d + 3 wrt d? 2736*d + 210 What is the derivative of 2*f**3 - 5*f**2 - 51*f - 63437 wrt f? 6*f**2 - 10*f - 51 What is the second derivative of -d**2*f**3*x
{ "pile_set_name": "DM Mathematics" }
)/120)? -1/4 Evaluate (-13 + -3)/(-7 + 4 + (-28)/(-8)). -32 (-33)/(-3) - (1/7 - 60/420) 11 What is -26*91/98 + 5 + (-102)/21? -24 (-19)/((-15)/(-33) + 108/198) -19 -17 - 49*(-54)/189 -3 What is (-5)/(440/(-2409)) - (-27)/(-72)? 27 Calculate (-36)/156 - ((-715)/169 + -9). 13 Evaluate (7/245*7)/(98/(-210)). -3/7 Evaluate 7/28*8 - 0/(4 + -2). 2 Evaluate (3/(-9))/(1/(-39)). 13 Evaluate 3*(-2)/6 + (0 - (-7)/4). 3/4 Calculate (-3 - -10)*(-102)/187 + (-12)/66. -4 What is 637/(-91) + 14/4*104/182? -5 Evaluate 4 + ((-372)/42)/2 + 1 + -1. -3/7 Evaluate (-2430)/17982*2/5. -2/37 Calculate (1710/(-72))/19 + 282/168. 3/7 What is the value of (105/504)/((-75)/60)? -1/6 Calculate (-39)/((-351)/4) + 0. 4/9 What is (2 - (-55)/(-10))*(-660)/(-420)*2? -11 Evaluate 6/(276/230) + 1 + 9. 15 55 + -69 + 141/12 -9/4 Calculate ((-3311)/(-245) - 13)*5. 18/7 Evaluate (-11)/22 - 14/4 - (9 + -10). -3 Evaluate 1799/(-63) - (105 - 134). 4/9 (-9570)/495*((-4)/(-6) + 39/(-18)) 29 Evaluate 7/(-38) + 42/70 + 2/(-20). 6/19 Evaluate 3/((-2)/(-11) - (-168)/44). 3/4 Evaluate 30843/4470 - ((-6)/(-20))/(-3). 7 What is (-260)/(-175) + 108/(-90)? 2/7 Calculate (-83 + 92)/(-5 - -2). -3 What is the value of (2/11)/((-14)/42*15/10)? -4/11 What is 970/11349*3/5? 2/39 What is -1*9/6*(-868)/(-186)? -7 What is 7/2 - 1 - 1881/570? -4/5 What is (-305)/(-549) + (-185)/495? 2/11 What is (2/(-5))/((-20664)/(-1845))? -1/28 What is the value of (-30 - 346/(-12)) + 86/12? 6 Calculate 11 + 41/(28*5/(-40)). -5/7 What is the value of (3 + -1)*(1473/78 - 19)? -3/13 Calculate 5 - (6 + (-31)/7 - -4). -4/7 What is the value of 1/44*11 - (-3 + 4)? -3/4 (-476)/(-51)*(-2)/16 -7/6 What is the value of (-2)/(-7)*(-51 - (-50028)/990)? -2/15 Calculate 14/8 - 29/(-2)*(-60)/(-120). 9 32*(-30)/4095 - (-8)/(-156) -2/7 What is -2*(-2)/(-16)*(0 - -4)? -1 Evaluate 28/6 + (-6956)/1443. -2/13 What is the value of -35*(-24)/84 - (-608)/(-56)? -6/7 Evaluate 1 - 3*5/(-15). 2 (1/1)/((-33)/(-33)) 1 Evaluate -7 + (8 - 15/(-30)). 3/2 Calculate (6/(360/(-21)) - (-2)/(-5))*4. -3 Calculate (6/(-5))/1*(270/(-1782) - 0). 2/11 Evaluate 1/21 + 22015/(-199920). -1/16 Calculate (21/(-45) - (-2)/6)/(163 - 162). -2/15 What is (5608/9814)/((2/(-78))/((-7)/(-6)))? -26 Evaluate (-216)/(-594) - 258/528. -1/8 (2 - 6*16/(-24))*1/3 2 What is -164*(-8)/(-672) - (-15)/((-630)/(-12))? -5/3 Evaluate (-21)/21*(-3)/10*(-16 - -6). -3 ((-90)/(-20))/((-23)/184*60) -3/5 What is the value of 55/((-1815)/(-132)) + -18? -14 What is the value of (-10)/12 - 38129/2514? -16 Calculate 40/(-4) - (-88 + 81). -3 What is the value of 260/22 - 2/(-11) - (40 + -42)? 14 Calculate (10 - 56/6) + (-84)/(-9). 10 Evaluate (-7 - -6)*(29 + -30) + -18 + 1. -16 Evaluate 22/32 + 20/(-40). 3/16 Evaluate 12/52*(-2)/(-3)*(-6864)/(-352). 3 What is the value of (46/(-345))/(((-2)/7)/((-18)/84))? -1/10 What is the value of (123/328)/((-3)/(-6))*(-16)/33? -4/11 What is the value of ((-1141)/67319)/(1 - 2)? 1/59 What is the value of -13 - ((-11645)/884 - (-5)/(-65))? 1/4 What is ((-289)/(-68) - (-9)/(-4)) + -19? -17 ((-8)/48)/(3 - (-249)/(-81))*4 9 What is (1360/(-76) - -14) + (24 - 20)? 2/19 What is 3888/16767*3/8? 2/23 Calculate (-3 + (-2)/(-1))/((-15 + 41)/312). -12 What is the value of 170/51 + (-6396)/1638? -4/7 What is 1 - 1946/119 - 150/(-425)? -15 What is the value of (34/12 - 0) + (-755 - -752)? -1/6 Calculate (-28)/546*13*-6. 4 2/(-1) - (-6 + -22 + 10) 16 What is 1 + (-2)/((-48)/504)? 22 Evaluate ((-90)/8 + (327 - 315))*(-10)/(-3). 5/2 Evaluate ((13 - 13)/(-2 + 3))/3. 0 (-48)/(-120)*150/12 5 -1*(1 + -12)/(-66) -1/6 Evaluate 2*(-25)/90*(16/10 - 4). 4/3 What is the value of (2/(-2))/((-17)/51)*(-204)/(-36)? 17 Calculate 4/2*((-325)/(-26) - 9). 7 What is the value of ((-138)/(-805)*-7)/((-1)/10)? 12 Calculate (319/435)/(4/20). 11/3 Evaluate ((0 - -27) + -29)*2/68*2. -2/17 ((-5692)/(-264) - 9) + (-17)/((-3927)/(-14)) 25/2 52/(-6)*((-1)/13)/((-71)/(-426)) 4 Evaluate -1 - (4 - 0)/2*261/(-58). 8 Calculate (-6 + 2)*((-872)/128 + 7)*40. -30 What is the value of 4/5 - (-14694)/(-17205)? -2/37 What is the value of (5/(75/(-9)))/(400/(-2000))? 3 Calculate 89/534 - ((-32)/(-16) + (-289)/138). 6/23 Evaluate (-4 - 75/85) + 2 + 3. 2/17 Evaluate ((-434)/8680)/(-1*3/24). 2/5 Calculate 19/(836/24) - (0 + 1 + -1). 6/11 (-46)/(-69)*(3 - (-10)/(-4)) 1/3 What is 579/10615*(-10)/(-6)? 1/11 What is the value of -129*5/70 - (-1224)/136? -3/14 What is (-7)/((7/(-21))/(-1 - -2))? 21 ((-39)/9 - -3)/((-132)/99) 1 Evaluate (19437/(-605))/(-31) - 1. 2/55 What is (-5068)/(-181) + 139/(-5)? 1/5 (-542)/(-68) + 942/32028 8 What is the value of ((-7)/8)/((-127)/1524) - 1/(-1)? 23/2 What is the value of (-29)/((-435)/210)*(-144)/56? -36 ((-12)/903)/((-234)/819) 2/43 What is 768/(-5040) - ((-45)/35 - -1)? 2/15 (-4)/1*((-15996)/48)/(-43) -31 What is 23 + -41 - 168/(-8)? 3 Calculate (-25)/(-125) + (-3582)/495 + 7. -2/55 Calculate (-278)/(-417)*(-171)/6. -19 What is (-120)/(-442) - 74/481 - (-29184)/1632? 18 Calculate -76*(-6)/(-64) + 7 + 2*1. 15/8 Calculate (60/21)/(-3*(-90)/756). 8 What is -4 - -12 - 18/210*91? 1/5 -7 + 37/(9546/1044) - -3 2/43 ((-16)/108*9/6)/((-4)/(-24)) -4/3 What is 146/231 + (-176)/2904? 4/7 What is the value of 8*6/144*-21? -7 What is 76/20 + -11 + 6 - (-208)/165? 2/33 Calculate ((-814)/(-40) + -19)/((-12)/(-16)). 9/5 What is the value of (9/(-6) - 0)/((-777)/(-1184))? -16/7 Evaluate ((-4)/10)/(-518*12/(-480) - 13). 8 What is (-1)/(-10) - 2189/(-110) - (2 - -3)? 15 What is 3/((-18)/4) + 956/1195? 2/15 Evaluate -1 + -3 - (825/45)/(-5). -1/3 What is the value of (-2)/14 + (-819)/(-3675)? 2/25 What is 3/(-7) - 5486/(-16247)? -1/11 (-489)/(-1630) + (-146)/20 -7 What is the value of (-22 + 22)/((2 - (-4 - 0)) + -4)? 0 37 - 11187/264 - -5*(-2 - -3) -3/8 Evaluate (-11924)/924 - 4/42. -13 Calculate (24/36)/((-860)/30). -1/43 What is 11 - 2*(15 + -17)? 15 Evaluate 3243/13662 + (2/11)/(-1). 1/18 What is ((-84)/(-16) + -5)/(189/72)? 2/21 What is the value of ((-12)/(-5))/(-11 + (-3780)/(-350))? -12 What is -24 + (-26129)/(-1020) - 1*(-5)/(-3)? -1/20 Evaluate 5/((3760/(-192))/(-47)). 12 Calculate (-51)/(1020/(-8))*(-45)/5. -18/5 What is the value of (-1325)/795 + -2 + (-238)/(-6)? 36 (-4)/(-6) - ((-12358)/(-11544) - (-10)/(-65)) -1/4 (2 - (-7)/(-3))*(-19995)/215 31 What is 52/((-5720)/(-30))*(-3)/(-9)? 1/11 What is the value of 8/38*14877/522? 6 Calculate (1716/77)/(-26) + 71/(-7). -11 What is (((-224)/(-10))/(-14))/(3*4/(-6))? 4/5 What is the value of (203/(-9135))/((-1)/10)? 2/9 5*-5*-3*12/(-90) -10 What is the value of 425/408*48/(-80)? -5/8 1/(-1) - (-66)/2541*-22 -11/7 (-5)/(((289/(-51))/(-17))/(1/(-3))) 5 28/(2 + -16 + 1435/82) 8 What is 2 + -14*((-1)/13)/(30/(-195))? -5 What is (2 + -22)*(4/8 - (-18)/(-24))? 5 Calculate (-251)/18 + 18/(-324). -14 What is the value of 2 + (-1)/5*310/124? 3/2 What is (-210)/(-21) + (-27 - 0 - 5)? -22 21/(315/(-30)) - (4 - 3) -3 20 + (-671)/22 + 17 + (1 - 10) -5/2 What is 15/60 + 27/4? 7 Calculate (-6)/(-285) - 21336/2660. -8 Evaluate 10/(-12)*(123/(-45) - -3). -2/9 4*6/(-126)*((-45)/(-9) + 4) -12/7 What is the value of -1 - (-6 + -85)/7? 12 What is the value of 2690/(-132) - (-73)/(-438) - -20? -6/11 What is the value of 1462/51 + -27 + -5? -10/3 Evaluate (-800)/1000 + 66/95. -2/19 12461/7330*(-32)/34 -8/5 7/1 + 18/4*8/18 9 28 + -40 - (-380)/30 2/3 Calculate ((-3)/(-10))/((-87)/464) - (-12)/10. -2/5 (-1)/(57/(-561)) - 750/75 -3/19 What is the value of (-126)/27*(-99)/(-77)? -6 Calculate 5130/(-304) + (1 - -16). 1/8 (1 + (-14)/28)/((-1)/28) -14 What is (-21)/(-9)*(-16)/(-56)*-15? -10 What is the value of (-40)/2880*6 + (-94)/24? -4 Evaluate 6/10 - (-1512)/(-420). -3 What is the value of (-1)/60 + 2821677/1306620? 15/7 Evaluate 3/((-2)/((-4)/999))*(-3 + 12). 2/37 What is the value of ((-11)/3 + 2)/(1 - 133/114)? 10 Evaluate 1344/70 + 3 - 20. 11/5 What is (4/(-51))/(((-35)/45)/((-14)/12))? -2/17 What is the value of (-52)/(11 + 2) - (-9)/((-18)/(-20))? 6 What is 3/(-1) + (4/22)/(318/27984)? 13 What is 39/(-8) + (-25)/(-4) + (-195)/156? 1/8 What is 6/(-60) + (-10 - (-141)/10)? 4 Calculate 6/(-10)*15/(-90). 1/10 What is the value of -16 - -2 - (-7 + -10)? 3 (2/(-12))/(28/84)*(5 + 3) -4 Evaluate (58 + -63)*(-2)/435. 2/87 (6/(-8))/(27/39) + 1084/813 1/4 Calculate -2 - -6 -
{ "pile_set_name": "DM Mathematics" }
2 Calculate the highest common factor of 106262187 and 999. 111 Calculate the highest common factor of 4264 and 811759. 533 Calculate the greatest common factor of 2403332 and 4. 4 What is the highest common factor of 8510862 and 88282? 2386 Calculate the greatest common divisor of 238008 and 798424. 1688 Calculate the highest common divisor of 2456503 and 21721. 203 What is the greatest common divisor of 107576 and 1175720? 952 Calculate the greatest common factor of 20293365 and 25. 5 What is the highest common divisor of 1818642 and 94658? 2014 Calculate the highest common divisor of 606851798 and 3748. 1874 Calculate the greatest common factor of 6525 and 351197975. 725 What is the highest common divisor of 45525 and 12645? 15 Calculate the highest common factor of 23715769 and 6706. 3353 Calculate the highest common factor of 10778 and 146688580. 10778 Calculate the greatest common divisor of 19564 and 2094152. 268 What is the greatest common divisor of 3076326 and 23760? 594 What is the highest common divisor of 32980 and 331253060? 1940 What is the greatest common divisor of 3611 and 1120928? 23 What is the highest common factor of 15096 and 698190? 3774 Calculate the highest common factor of 1686191111 and 253. 253 What is the greatest common factor of 1807576 and 935? 17 What is the greatest common divisor of 345 and 6194728? 23 What is the greatest common factor of 17549115 and 36? 3 What is the greatest common divisor of 5432 and 68164131? 679 Calculate the highest common divisor of 91922 and 263302. 1558 Calculate the greatest common divisor of 91 and 194899393. 13 Calculate the greatest common divisor of 1300915 and 11625. 155 Calculate the greatest common divisor of 264863 and 2249. 173 What is the greatest common factor of 1175 and 63117240? 235 What is the highest common divisor of 452455564 and 132? 44 What is the highest common factor of 25323480 and 13377? 273 What is the highest common factor of 129 and 177208977? 129 What is the highest common factor of 470 and 2664010? 10 What is the greatest common divisor of 116661 and 11544? 111 Calculate the greatest common factor of 539827 and 3003467. 3623 What is the highest common factor of 84823488 and 576? 576 What is the highest common factor of 20705 and 115666412? 4141 Calculate the highest common factor of 687582 and 1742174. 1498 What is the highest common factor of 5893018 and 14346? 1594 What is the greatest common factor of 48 and 1023908? 4 What is the highest common divisor of 47370 and 4110? 30 Calculate the highest common factor of 222 and 297184814. 74 Calculate the highest common factor of 26864 and 140816. 16 Calculate the greatest common divisor of 1192602 and 4068. 678 What is the highest common factor of 4801582 and 1088? 34 Calculate the greatest common divisor of 61 and 18782754. 61 What is the highest common divisor of 224143640 and 527? 527 Calculate the highest common divisor of 37134220 and 8. 4 What is the highest common divisor of 25206 and 6114? 6 Calculate the greatest common divisor of 1144 and 506167288. 88 What is the greatest common factor of 75440 and 11777840? 1840 Calculate the highest common factor of 260 and 245133759. 13 What is the greatest common factor of 6787703 and 143? 13 Calculate the highest common factor of 139285 and 1414760. 1565 What is the greatest common divisor of 8816846 and 1266? 422 Calculate the greatest common factor of 2660 and 35937930. 1330 What is the greatest common divisor of 7587813 and 6312? 789 Calculate the highest common factor of 32 and 137083232. 32 Calculate the greatest common divisor of 44599970 and 2. 2 Calculate the highest common divisor of 5254 and 260258. 74 Calculate the highest common divisor of 1387 and 34161518. 73 What is the greatest common factor of 10602 and 21145689? 5301 Calculate the greatest common divisor of 1 and 2618587. 1 Calculate the highest common factor of 568946 and 3906. 14 What is the highest common factor of 535 and 2828866? 107 What is the greatest common factor of 535 and 3095189? 107 Calculate the greatest common factor of 447 and 19399353. 447 What is the highest common divisor of 187407798 and 6? 6 Calculate the highest common divisor of 25077439 and 274. 137 What is the greatest common factor of 273107380 and 34? 34 Calculate the highest common factor of 18847 and 3995. 47 Calculate the highest common divisor of 7126025 and 1450. 725 Calculate the greatest common factor of 27196 and 37232. 52 What is the highest common divisor of 77242 and 288625266? 7022 Calculate the highest common divisor of 6 and 229367313. 3 What is the greatest common divisor of 5235 and 4790790? 15 Calculate the greatest common divisor of 831011 and 85. 17 What is the greatest common factor of 412 and 857063? 103 Calculate the highest common factor of 17083090 and 2350. 470 Calculate the highest common factor of 161772204 and 408. 204 What is the greatest common divisor of 4984 and 5195820? 2492 What is the highest common factor of 203667 and 6409? 29 What is the highest common divisor of 745407432 and 22869? 7623 Calculate the greatest common factor of 25086 and 26382110. 8362 Calculate the greatest common divisor of 75 and 294321135. 15 What is the highest common factor of 120 and 15323320? 40 What is the greatest common factor of 4371 and 10959213? 93 What is the highest common divisor of 16326 and 33081918? 5442 What is the highest common factor of 274204329 and 1239? 1239 What is the greatest common factor of 56 and 498236? 4 What is the highest common divisor of 1102 and 906834698? 1102 What is the greatest common divisor of 152909475 and 25? 25 What is the greatest common factor of 45 and 6326802? 9 What is the greatest common divisor of 292 and 5955556372? 292 Calculate the highest common factor of 48613279 and 187. 11 What is the highest common factor of 24 and 42027900? 12 Calculate the highest common divisor of 10277256 and 8424. 24 What is the highest common divisor of 785599 and 389423? 2251 What is the highest common factor of 153999 and 865431? 2169 What is the highest common factor of 35162593 and 311? 311 Calculate the highest common divisor of 48138 and 6760194. 426 Calculate the highest common divisor of 258 and 882076458. 258 What is the highest common divisor of 2193624 and 288? 72 Calculate the greatest common divisor of 312614093 and 2101. 2101 What is the greatest common factor of 210736 and 96? 16 What is the greatest common divisor of 931690 and 2? 2 What is the highest common factor of 12530 and 123655? 35 What is the greatest common divisor of 771 and 2816206? 257 Calculate the highest common factor of 371813 and 27353378. 10049 Calculate the greatest common factor of 2146348 and 464. 116 Calculate the highest common divisor of 303 and 6788109. 303 Calculate the greatest common divisor of 23819324 and 116. 116 What is the highest common factor of 211324927 and 11? 11 What is the greatest common divisor of 17672 and 79133007? 2209 Calculate the greatest common factor of 1613 and 461064759. 1613 What is the greatest common divisor of 38416 and 25744? 16 Calculate the highest common factor of 1666634 and 16571. 227 Calculate the highest common factor of 1286430 and 14835. 15 What is the highest common factor of 23543940 and 17255? 1015 Calculate the greatest common divisor of 252 and 3899308. 28 Calculate the greatest common divisor of 5632 and 226292. 44 What is the greatest common divisor of 4725 and 94798053? 189 Calculate the greatest common factor of 4750423 and 11. 1 What is the greatest common factor of 95526 and 160763182? 3538 What is the greatest common factor of 28 and 2015132? 28 Calculate the highest common divisor of 4032 and 2465285760. 4032 Calculate the greatest common factor of 27 and 322431867. 27 Calculate the greatest common divisor of 1304736 and 1600. 32 What is the greatest common factor of 2250538 and 44144? 62 What is the highest common factor of 4851 and 2378277? 99 What is the highest common factor of 564639 and 21186? 321 Calculate the greatest common factor of 5589 and 7157485. 23 What is the greatest common factor of 604951 and 2993? 73 Calculate the greatest common divisor of 980 and 42487998. 98 Calculate the greatest common divisor of
{ "pile_set_name": "DM Mathematics" }
False Suppose -8*q + 4 = -12. Suppose -8*d + 72 = -q*d. Is 4 a factor of d? True Is ((-164)/3)/(664/(-593118)) a multiple of 41? True Let h be 1/4 + 331/4. Suppose 0 = 2*p - 3*p + 5*c + 4, -2*p = 5*c - h. Let v = 13 + p. Is v a multiple of 24? False Does 37 divide 22/(-110)*25 - (-1 + -17505)? True Let t be (6/(-9))/(6/207). Let m = 23 + t. Suppose 3*l - 1 - 29 = m. Does 7 divide l? False Let u(d) = -25*d**3 - 4*d**2 - 59*d - 224. Is u(-8) a multiple of 82? True Let f(p) be the first derivative of p**2/2 + 10*p + 2. Let n = -5 - -12. Does 10 divide f(n)? False Let f = 484 + 931. Suppose 0 = -2*w - b + f - 27, 2082 = 3*w - 5*b. Is 15 a factor of w? False Let s(w) = -w**3 + 63*w**2 - 250*w + 948. Does 86 divide s(58)? True Suppose -838*f = -4*p - 840*f + 8282, 0 = -5*p + 5*f + 10315. Is 40 a factor of p? False Let f be -4*8/(-80) + 33/5. Let v(p) = -p**3 - 5*p**2 - 2*p - 1. Let x be v(-5). Suppose f*c + 176 = x*c. Does 20 divide c? False Let l(a) = -a**3 + 2*a + 4. Let m(z) = z**3 + z**2 - 2*z - 5. Let h(n) = 5*l(n) + 4*m(n). Is h(-4) a multiple of 12? True Suppose 0*d + 4*d = -60. Suppose 2*v + 534 = 5*z, 5*v - 14*z + 1316 = -11*z. Is 19 a factor of (v/3)/(10/d)? False Suppose 570 = 1054*n - 1035*n. Is n a multiple of 3? True Let t(m) be the first derivative of 3*m**2/2 - 4*m - 3. Let h be ((-3)/(-6))/((-14)/(-168)). Is 5 a factor of t(h)? False Let p(n) = 10*n**2 + 70*n - 44. Let k(x) = 5*x**2 + 35*x - 23. Let b(w) = -11*k(w) + 6*p(w). Let y be b(-15). Suppose 22 - y = -3*r. Is 14 a factor of r? False Let h(b) = 3*b**2 - 26*b - 1294. Is 19 a factor of h(-47)? True Let x(z) = 3*z - 3. Let h be x(-4). Let k be 8/(-12)*3/6*h. Suppose 41 = -5*r - g + 316, 0 = -k*r - 2*g + 280. Is 18 a factor of r? True Does 7 divide (-98)/(-8)*(789 - -1543)? True Suppose 8*k + 7138 - 33242 = 0. Does 13 divide k? True Let g = -54 + 901. Suppose 8*f - 682 = -4*r + 10*f, 5*r = -3*f + g. Does 10 divide r? True Let d = 1161 + -1087. Is d a multiple of 74? True Let y(u) = -2*u**3 + 6*u**2 - 5*u + 11. Let t be y(3). Is 344 + 99/(-18) + (-10)/t a multiple of 8? False Suppose 3*f = 4*z - 70, -3*z + z = -f - 36. Suppose z*j - 32*j + 9672 = 0. Is 12 a factor of j? True Suppose 1329 = -13*c - 1388. Let n = 173 - c. Is n a multiple of 55? False Let n(f) = -f**3 + 48*f**2 - 142*f + 86. Is 26 a factor of n(29)? False Let q = -96 - -96. Suppose 4*r + 2 = 14. Suppose -r*d = 4*z, d - 3*z - 13 = -q*d. Is d a multiple of 3? False Let q(u) = u**2 + 3*u - 2. Let j be q(4). Suppose -j*g + 25*g + 3 = 0. Suppose 3*w + 0*c = 2*c + 59, -2*c + 55 = g*w. Does 14 divide w? False Let z(i) = -63 + i**3 - 65 - 27*i + 51 - 30*i**2. Does 9 divide z(31)? False Suppose 21*o - 265621 - 1426379 = -26*o. Is o a multiple of 75? True Let v = -2609 - -7883. Does 189 divide v? False Let q(s) = -s**2 - 4*s + 17. Suppose -3*w - 18 = 3*y, -4*w = 5*y - 5*w + 30. Let a be q(y). Suppose 10 = -a*m + 155. Does 29 divide m? True Suppose 62209 = 4*o - 3*d - 90627, -38211 = -o + d. Is 151 a factor of o? True Let q = -51311 - -93743. Is 204 a factor of q? True Let k be (-4)/8 + (-87)/6. Let u be (-5)/k*6 - -97. Let j = -59 + u. Is 17 a factor of j? False Is (10750/(-8) + -1)/(4*69/(-736)) a multiple of 22? True Suppose 385*d = 399*d - 73416. Is 8 a factor of d? False Let g(a) = -39*a + 4. Suppose -2*r + 4*r - 10 = -4*u, -3*r - 3*u + 15 = 0. Suppose -2*p + r*p - 3 = 0, 0 = o - 5*p + 9. Is 32 a factor of g(o)? True Is 34 a factor of 88/(5 - -6) - 1*-661? False Let t be (-2)/2*(2 - (69 - 4)). Does 36 divide (612/21)/(6/t)? False Let t(o) = o**2 - 13*o + 42. Let r be t(9). Suppose r = 3*v, -3*z + 5*v + 412 = -z. Is 15 a factor of z? False Suppose -q - 276 = 3*q. Let i = q + 69. Suppose d + 2*z - 96 = i, -50 = -3*d + 2*z + 222. Is d a multiple of 23? True Let r be 15/(-75) + (-153)/(-15). Suppose 3279 - 8529 = -r*c. Does 21 divide c? True Let v = 511 + -507. Suppose 0 = -v*w + 40*u - 44*u + 3296, 3341 = 4*w - 5*u. Does 25 divide w? False Let h(c) = c**3 - 8*c**2 + 3*c - 16. Let o be h(8). Suppose 0 = -o*q - 0*q + 32. Suppose q*i - 194 = 30. Is i a multiple of 7? True Suppose -5*h = t - 6021, 5*t - 23 + 18 = 0. Suppose -597 = -c - o, -2*o + 6*o = -2*c + h. Does 37 divide c? True Is 504224/160 + (1 - 7/5) a multiple of 23? True Let h(y) = 5*y - 18. Let v be h(11). Suppose 0 = 10*k - v - 3. Suppose -332 = -k*q - 4*g, 0*q + 171 = 2*q - 3*g. Is 7 a factor of q? True Suppose -2*k - 2*k = -12. Suppose -80 + 242 = k*q. Let u = q + -13. Is u a multiple of 18? False Let g(k) = 15*k**2 + 635*k - 46. Is 54 a factor of g(-43)? False Suppose 8*h - 5*h = -6. Let n be 217/((2/(-6))/(h/6)). Suppose -4*z + 717 = n. Is z a multiple of 23? False Suppose -14*r - 4428 = -1754. Let c = r + 487. Is 11 a factor of c? False Let h(u) = -8*u**2 - 8*u**2 - 41 + 11*u + 17*u**2 + 8*u. Does 7 divide h(-22)? False Let x be ((-4250)/(-6) + 2/3)*1. Suppose -x = 4*u + 5*v, u + 75 + 86 = 2*v. Let b = u + 321. Is b a multiple of 15? True Let k = -20 + 45. Let a be 2 - 1/(-3)*-291. Let v = k - a. Does 11 divide v? False Let a(z) = -3*z**3 + 3*z**2 - 2*z - 25. Suppose -43 + 55 = -2*y. Is a(y) a multiple of 35? False Let a = 849 - 321. Let g = a + -259. Is g a multiple of 26? False Suppose 6*b + 552 - 7842 = 0. Let x = b + -139. Is x a multiple of 11? False Let s(t) = -t**2 + 2*t. Let m(h) = h**2 - h - 1. Let n(k) = 2*m(k) + s(k). Let a be n(18). Let p = -101 + a. Is p a multiple of 32? False Suppose 1548436 = 80*z + 142*z + 322996. Is 6 a factor of z? True Let i be 10 - 30/5 - 0. Let l(w) = 14*w**2 + 4*w. Is 8 a factor of l(i)? True Is 16767/111 - 100/1850 a multiple of 9? False Suppose 11*k + 4766 = 30077. Is 39 a factor of k? True Suppose 4*c = -3*x - 116, 2*c - 35 + 159 = -3*x. Suppose 3*b + 139 = 3*p - 17, 243 = -4*b - 3*p. Let z = x - b. Does 13 divide z? True Suppose -2*f = 3*f - 25. Suppose 4*o - 412 + 16 = -s, f*s - 4*o = 2004. Does 50 divide s? True Let x be 3*2/6 + 6. Let q = 2306 + 4054. Is 2/x + (q/7)/5 a multiple of 36? False Let x = 971 - 138. Let o = -513 + x. Is o a multiple of 13? False Suppose 7721 - 2842 = 2*k + 5*k. Is k a multiple of 11? False Let q(v) = -118*v - 156. Let z be q(-23). Suppose -2*y + 4*c = -z, -2*y = c + 2*c - 2544. Does 11 divide y? False Let s = 1621 + -1156. Does 39 divide s/((-20)/10 - (-13)/5)? False Let b(h) = -4523*h - 6970. Is 15 a factor of b(-5)? True Suppose -9*x + 25*x = -19*x + 627480. Is x a multiple of 36? True Let g(i) = 11*i**3 + 5*i**2 + 25*i + 15. Let j be g(7). Suppose 4*d + 37*s - 4208 = 42*s, -4*d + s = -j. Does 16 divide d? False Let p be ((-4)/(-6))/((-6)/(-45)). Let c(s) = -8*s**2 + 5*s - 4. Let m(f) = -13*f**2 + 8*f - 7. Let z(d) = 8*c(d) - 5*m(d). Is z(p) a multiple of 14? True Let u = 6 - 3. Let q = -183 - 22. Does 10 divide q/(-3) - (1/u + -1)? False Let u = -18 - -16. Let a be (1/u)/(10/200) + 3. Does 3 divide ((-80)/(-70))/((-1)/a)? False Let x = 8420 - 7352. Is x a multiple of 9? False Let u(x) = -9*x**3 + 5*x**2 + 13*x + 3. Let k be u(-2). Let i = 7 + k. Does 19 divide i? True Suppose 54*p = 19984 + 26656 + 5038. Does 242 divide p? False Let h(k) = 5*k**2 + 62*k - 26*k - 24*k + 37. Is 24 a factor of h(-7)? False Let q(f) = 18*f**3 - 2*f**2 - 99*f + 394. Is 2 a factor of q(4)? True Suppose 573*o = 582*o - 4896. Suppose o = 9*h - 5*h - 4*m, m - 408 = -3*h. Is h even? True Suppose 4*d - 17810 = 4*c + 4302, -5*c = d - 5564. Is d a multiple of 94? False Let p = 113 - 109. Suppose -2*x - 4*w - 4 = 0, -3*x + 4*w = p - 18. Suppose 5*c = 5*g + 750, 10*c = 11*c - x*g - 148. Does 8 divide c? True Let t = -13386 + 29142. Does 26 divide t? True Let i(u) = 41*u - 69. Let w be i(4). Suppose -w - 25 = -2*p. Is p a multiple of 12? True Suppose -363204 = -98*a + 44*a. Is 114 a factor of a? True Let d(i) = -216*i - 38. Let y = 677 - 679. Is 43 a factor of d(y)? False Let k = 6109 - 2823. Does 106 divide k? True Let l = -99 + 60. Let v = 84 + l. Suppose -46*s + v*s = -8. Is 6 a factor of s? False Suppose 4*b - 3548 = -4*a, -a - 2671 = -4*a + 2*b. Does 27 divide a? False Suppose 4*c - 2*c + 2*q = 3954, -4*q + 20 = 0. Is c a multiple of 50? False Let z be ((-3)/(-2))/((-6)/(-16)). Suppose 0 = 6*i - z*i - 10. Suppose i*d - 188 = 172. Does 12 divide d? True Suppose 3*y = -4*y + y. Suppose -5*b + 4*s + 7988 = y,
{ "pile_set_name": "DM Mathematics" }
t y(s) = -62*s**2 + 366*s + 12. Let x be y(6). Let l(n) = 60*n**3 - 24*n**2 + 24*n + 24. Determine x*m(u) - 5*l(u). -12*u**3 Let j(l) = 10*l + 299. Let n(o) = -2*o - 6. Determine -j(a) - 6*n(a). 2*a - 263 Let g(r) = -10*r**3 + 3*r**2 + 253*r + 1. Let i(c) = 57*c**3 - 18*c**2 - 1518*c - 6. Determine 17*g(w) + 3*i(w). w**3 - 3*w**2 - 253*w - 1 Let a be (-8 + 5 - -31)*(-15)/(-12). Let d be (-6*5/a)/(2/(-14)). Let j(g) = -3 - 1 + 4 + 5*g. Let c(f) = -21*f. Calculate d*c(t) + 26*j(t). 4*t Let m(u) = -4*u**2 + u + 2. Let g(y) = y**2 - y - 1. Let a(j) = j**3 + 16*j**2 - 7*j - 72. Let x be a(-12). Let k = 591 - x. Calculate k*g(q) + m(q). -q**2 - 2*q - 1 Let t(j) = 3*j - 7. Suppose 0 = -o + 23 - 38. Let z(u) = 3*u + 2. Let d(v) = -7*v - 6. Let i(c) = o*z(c) - 6*d(c). Give 6*i(q) + 5*t(q). -3*q + 1 Let v(n) = 14*n**2 + 3*n - 3. Let w(g) = -55*g**2 - 11*g + 11. Let x = 13700 + -13711. Determine x*v(y) - 3*w(y). 11*y**2 Let z(o) be the third derivative of -o**4/3 + 7*o**3/6 - 119*o**2 - 8*o. Let u be (2/(-3))/(-2) - 286/39. Let i(v) = -3*v + 2. What is u*i(p) + 2*z(p)? 5*p Let l = 6028 + -6033. Let p(f) = 8*f**2 + 13*f + 10. Let h(u) = 5*u**2 + 9*u + 7. Let y be (-10)/55 + (-79)/(-11). Calculate l*p(b) + y*h(b). -5*b**2 - 2*b - 1 Let l(s) = -48*s - 7. Let j(n) = -141*n - 20. Determine 6*j(g) - 17*l(g). -30*g - 1 Let g(v) = -v + 5. Let n(s) = -s**3 + s**2 - 2*s + 121. Let q be n(0). Let l(h) = 123 - 245 + q. What is -2*g(x) - 11*l(x)? 2*x + 1 Let h(s) = -1. Let l(i) be the third derivative of 1/24*i**4 - 24*i**2 - 5/6*i**3 + 0 + 0*i. What is -5*h(n) + l(n)? n Let v be (1 + -1 + 2)*-1. Let q(k) = -2*k**2 - 3*k. Let f = 99 - 74. Let z be (30/25)/((-5)/f). Let u(c) = c**2 + c. Determine v*q(d) + z*u(d). -2*d**2 Let u be (-138)/(-69) - (0 + 7). Let t(z) = -4*z**2 - 6*z - 5. Let h(w) = -9*w**2 - 13*w - 11. Give u*t(n) + 2*h(n). 2*n**2 + 4*n + 3 Let b(s) = -7*s**2 - s - 41. Let r(c) = -22*c**2 - 4*c - 124. What is -7*b(l) + 2*r(l)? 5*l**2 - l + 39 Let h(c) = -3*c**3 + c**2 - 5*c - 20. Let y(s) = 2*s**3 - s**2 + 6*s + 22. Give -9*h(o) - 8*y(o). 11*o**3 - o**2 - 3*o + 4 Let t(a) = a. Let p(v) = -2*v + 5. Let u = 2522 + -2521. Give u*p(y) - 4*t(y). -6*y + 5 Let c(k) = 222*k. Let r(b) = -4*b**2 - b. Calculate -3*c(x) - 666*r(x). 2664*x**2 Let c(w) be the first derivative of w + 3666. Let z(l) = -19*l**3 - 4. Calculate -6*c(u) - z(u). 19*u**3 - 2 Let q(k) = 1375*k**2 - 86*k - 1. Let m(l) = 2750*l**2 - 151*l - 1. Give 4*m(o) - 7*q(o). 1375*o**2 - 2*o + 3 Let l(q) = -18*q**2 - 84*q - 84. Let i be l(-3). Let v(g) = 5*g - 7. Let b(k) = -k. Let n(s) = -4*b(s) - v(s). Let d(h) = h - 8. What is i*n(a) + 5*d(a)? -a + 2 Let x(l) = -9*l**3 - 2*l**2 - 6*l + 229. Let w(h) = 9*h**3 + 3*h**2 + 8*h - 207. Determine -2*w(y) - 3*x(y). 9*y**3 + 2*y - 273 Let w(q) = -1048*q - 25. Let f(c) = 102175*c + 2440. Determine -5*f(o) - 488*w(o). 549*o Let r(k) = 2*k**2 + 200*k + 2557. Let w be r(-15). Let l(x) = 2*x + 2. Let c(n) = -5*n - 4. Let t = -2 + 4. Let s be t - 1 - -1 - -1. Give s*c(z) + w*l(z). -z + 2 Let b(c) = 6173*c - 18. Let w(r) = -6185*r + 21. Determine -7*b(t) - 6*w(t). -6101*t Let b(o) = -o - 3*o**2 + 1042 - 1038 + 0*o + 2*o + 0*o. Let l(s) be the second derivative of s**4/6 - 3*s**2/2 + s. Give -3*b(n) - 4*l(n). n**2 - 3*n Let o(p) = 9*p**2 + 6*p + 3. Let x(i) = -10*i**2 - 7*i - 4. Suppose -33*b + 10 = -29*b + 5*c, 4*b + 3*c + 2 = 0. Give b*x(j) - 6*o(j). -4*j**2 - j + 2 Suppose 276*j = 87*j - 1134. Let r(t) = t**3 - t**2 - t + 1. Let u(q) = -q + 6. Let a be u(7). Let m(c) = -5*c**3 + 2*c**2 + 6*c - 6. Determine a*m(z) + j*r(z). -z**3 + 4*z**2 Let a(d) = -36*d**3 - 20*d**2 - 11*d + 6. Let n(h) = -7*h**3 - 4*h**2 - 2*h + 1. Let k(g) = -293*g - 3518. Let y be k(-12). Calculate y*a(j) + 11*n(j). -5*j**3 - 4*j**2 - 1 Suppose 2*f - 4*u + 43 = 7*f, u = -f + 9. Let a(k) = -2*k**2 + 2*k - 6. Let i be (-1 - -3)*4/24*-9. Let h(y) = -5*y**2 + 5*y - 13. What is f*a(m) + i*h(m)? m**2 - m - 3 Let j(c) = 1603 - 2*c - 2*c - 3193 + 1581. Let b(q) = -2*q - 5. What is -9*b(g) + 4*j(g)? 2*g + 9 Let r(b) = 7*b**2 - 2*b + 2. Suppose -11*j - 14 - 41 = 0. Let c(i) be the second derivative of -i**4/3 + i**3/6 - i**2/2 + 2*i + 1. Give j*c(p) - 3*r(p). -p**2 + p - 1 Let r(g) = -g + 1 + 3 + 5*g. Let c(n) = -17*n - 17. Suppose -3*u + 811 = -4*w + 3073, -2*w + 756 = -u. Let a = u - -756. What is a*c(l) + 26*r(l)? 2*l + 2 Let p(i) = -9*i**2 + 34*i - 44. Let d(w) = 16*w**2 - 62*w + 90. Give -6*d(u) - 11*p(u). 3*u**2 - 2*u - 56 Let r(u) = 2*u**2 + u + 2. Let z(d) = 16123*d**2 - 2*d - 4. What is -2*r(w) - z(w)? -16127*w**2 Let q(x) = -9*x**2. Let u be 2/17 - (-36237)/(-2397). Let f(z) = z**3 - z**2 - z + 4. Let l be f(0). Let c(j) = -35*j**2. Calculate l*c(r) + u*q(r). -5*r**2 Suppose 8*q + 32 = 24. Let p be -47 - -50 - 2*q. Let x(l) = -9*l**3 + 4*l**2 + 5. Let z(k) = -8*k**3 + 3*k**2 + 4. Determine p*z(h) - 4*x(h). -4*h**3 - h**2 Let d(f) be the second derivative of -f**5/4 + 160*f - 87. Let p(o) = 5*o**3. Suppose -3*y = n + 11, 2*y - 6 = 5*n + 15. What is n*p(l) - 6*d(l)? 5*l**3 Let x(r) = 7*r + 2. Suppose -4*k = 5*j - 444, -5*j + 4*k + 438 = 2*k. Let s = 101 - j. Let h(y) = 2 - 29*y + 2 - s. What is 2*h(t) + 9*x(t)? 5*t Let m(t) = 8*t + 2. Let g(u) = -6*u. Let q(x) be the second derivative of 0*x**2 - 5*x + 0 - 7/6*x**3. Let d(k) = -6*g(k) + 5*q(k). What is 6*d(r) - m(r)? -2*r - 2 Suppose -56*f + 43*f + 13 = 0. Let b(a) = a**2 + a. Let n(z) = 6*z. Calculate f*n(v) - 4*b(v). -4*v**2 + 2*v Let o(b) = -7*b + 2*b + 0*b - 78 + 144 - 83. Let c(z) = 2*z + 6. Let w(l) = -l**3 - 6*l**2 - l. Let g be w(-4). Let p = -11 - g. Determine p*c(m) + 6*o(m). 4*m Let c(i) = i**2 - i + 7. Let p(q) = 2*q**2 - q - 2. Give -c(v) - 4*p(v). -9*v**2 + 5*v + 1 Let l(r) = 4*r - 1. Suppose 3 = s, -s = -2*g - 0*g - 9. Let m(h) = 7*h - 1. Suppose p - 14 = 43*y - 46*y, -2*p - 2*y = -16. What is g*m(a) + p*l(a)? -a - 2 Let p(r) = 62242*r**2 + 62246*r**2 - 124487*r**2. Let x(y) = 23*y**2 + 2*y. Calculate 4*p(d) + x(d). 27*d**2 + 2*d Let l(b) = b - 5. Let y(f) be the first derivative of -3*f**2 + 36*f + 5432. Give -15*l(o) - 2*y(o). -3*o + 3 Let k(q) = 93*q - 77. Let r(a) = -43*a + 39. Calculate -6*k(u) - 13*r(u). u - 45 Let h(v) = 1. Let l = -14938 - -14939. Let m(y) = -2*y - 20. Calculate l*m(k) + h(k). -2*k - 19 Let r(w) = 2*w - 3. Let q(x) = -3*x + 5. Let g(b) = b**3 + 4*b**2 - 18*b - 29. Let j be 132/(-21) - 0 - (-4)/14. Let u be g(j). What is u*r(n) + 4*q(n)? 2*n - 1 Let x(w) = 7*w**2 + w + 1. Let z(o) = -o**3 + 73*o**2 + 8*o - 26. What is -8*x(v) + z(v)? -v**3 + 17*v**2 - 34 Let b(u) = 2791*u + 4. Let g(o) = -2726*o - 5. What is 6*b(a) + 5*g(a)? 3116*a - 1 Let y(o) = -28*o**2 + o + 37. Let w(g) = 55*g**2 - 2*g - 67. What is 5*w(m) + 9*y(m)? 23*m**2 - m - 2 Suppose -21 = -3*k - 5*h + 3*h, 0 = 3*h. Let v = -3 + k. Suppose y + v = 2. Let a(x) = -x + 2. Let o(p) = -5*p + 9. Give y*o(l) + 9*a(l). l Let x(n) = -n - 1. Let m(t) = -10*t**2 + 50. Let u be m(9). Let a = 758 + u. Let o(l) = 2*l**2 - l**3 + 2*l + 0*l**3 + 2 + 3. What is a*x(d) - o(d)? d**3 - 2*d**2 - 3 Let t(j) = 17*j**2 - 10*j + 5. Let r(q) = 7*q - 1. Let g(d) = -2*r(d) - t(d). Let k(o) = 33*o**2 + 7*o + 6. Determine -7*g(w) - 4*k(w). -13*w**2 - 3 Let z(x) = 3589*x**3 - 5*x**2 - 10*x + 10. Let n(o) = -161504*o**3 + 224*o**2 + 448*o - 448. What is 5*n(j) + 224*z(j)? -3584*j**3 Let j(h) = h**3 + 2*h**2 - 4*h. Let p(i) = 3*i**3 - 2*i**2 + 567*i + 2. What is -j(q) - p(q)? -4*q**3 - 563*q - 2 Let f(c) = -2*c**3 + c**2 - 127*c. Let z(p) = -2*p**3 - p**2 - 127*p. Calculate 6*f(m) - 5*z(m). -2*m**3 + 11*m**2 - 127*m Let p(x) = -789*x - 2366. Let d be p(-3). Let r(s) = 6*s**3 - s**2 - 3*s + 3. Let y(i) = i**3 + i**2 + i - 1. What is d*r(a) + 3*y(a)? 9*a**3 + 2*a**2 Let q(f) = -1. Let y(h) = -21*h + 51. Let m(c) = 78*c - 193. Let n(o) = 4*m(o) + 15*y(o). Calculate n(z) - 2*q(z). -3*z - 5 Let g(c) = c**2 - 173*c + 1473. Let s be g(9). Let u(n) = 3*n**2 + 6*n. Let f(t) = 4*t**2 - 2*t**2 - 3*t + 8*t. Calculate s*u(q) + 4*f(q). -q**2 + 2*q Let l(s) = -s - 1. Let g(i) = -4 - 424*i + 210*i + 209*i - 3 + 1. What is 2*g(b) - 11*l(b)? b - 1 Let h = -3172 + 3171. Let u be 4*(-6 + 125/20). Let t(f) = 3*f + 2. Let i(y) = 3*y - 5. Let d(m) = -m + 2. Let g(w) = 5*d(w) + 2*i(w). Give h*g(p) + u*t
{ "pile_set_name": "DM Mathematics" }
. What is the greatest common divisor of p and r? 29 Let h = 39 - 22. Let x be (-6567)/(-77) - (-4 - (-180)/42). Calculate the greatest common divisor of x and h. 17 Suppose -136 = -11*o + 359. Calculate the highest common divisor of 45 and o. 45 Let d(p) = -2*p - 10 + 3*p + 3*p + 9. Let b be d(3). Calculate the greatest common factor of 44 and b. 11 Let n(t) = -21*t**3 + 4*t**2 + t - 1. Let c be n(-1). Suppose c*m - 80 = 19*m. What is the highest common divisor of 50 and m? 10 Suppose -18*g + 19*g = 0. Suppose -224 = -y - g*y. Let f(z) = -z**3 - 3*z**2 + 5*z + 3. Let n be f(-5). What is the highest common factor of n and y? 28 Let l(h) = 12*h**2 - 57*h + 12. Let q be l(5). Calculate the highest common factor of q and 2889. 27 Let j be (11/(-2))/(2/(-4)). Let w(v) = -v + 2. Let c be w(-10). Let f be 4/24 + 658/c. What is the greatest common factor of j and f? 11 Let y be 142 + 5/10*-12. Calculate the highest common factor of 68 and y. 68 Let x be -2 + 1/(2/188). Suppose 0 = -3*f + 37 + x. Let u = 77 - f. Calculate the highest common factor of 170 and u. 34 Let l = 256 - 151. Suppose 0 = -11*n + 4*n + l. Suppose 3*j - s - 79 = 241, -15 = 3*s. Calculate the highest common divisor of n and j. 15 Let r = 5 + -33. Let s = r - -31. Let x be (-2)/4*-2*15. Calculate the greatest common factor of x and s. 3 Let x = -249 - -286. Calculate the highest common factor of x and 444. 37 Let g(v) = 3*v**2 + 3*v + 8. Let o be g(-4). Let a = 137 + -71. Calculate the greatest common divisor of a and o. 22 Let u be 10/4 + (-14301)/(-14) + -4. What is the highest common divisor of 15 and u? 15 Let u be (150/9)/((-48)/(-216)). What is the greatest common factor of 825 and u? 75 Let o = 63 + -61. Suppose -4 - 15 = -o*s - 5*m, 5*s = -3*m + 19. Calculate the highest common divisor of 14 and s. 2 Let h be 9/(-15)*(155/(-1) + 0). Suppose -5*u + 407 = -l, 0 = 2*u - 5*l - h - 79. What is the highest common divisor of u and 27? 27 Suppose 3*c - 2037 = -12*y + 7*y, -2*y - 3*c = -822. What is the greatest common divisor of y and 90? 45 Let b(w) = -w**3 - 9*w**2 + w + 17. Let t be b(-9). Suppose -r = 3*p + 7, -t = 2*r + 5*p - p. Calculate the greatest common divisor of 16 and r. 2 Let i = -145 - -208. What is the highest common factor of 84 and i? 21 Let r(l) = 16*l - 6*l + 35*l + 9. Let n be r(5). What is the highest common factor of 39 and n? 39 Let q = 195 - -480. What is the highest common divisor of q and 15? 15 Suppose -8*d + 58 = 10. Let w = d - -13. Calculate the greatest common divisor of w and 133. 19 Let m(q) = -q**3 - 3*q**2 - 16*q - 17. Let h be m(-6). Calculate the greatest common factor of 34 and h. 17 Let f be (-99)/(-22)*16/3. What is the highest common divisor of 48 and f? 24 Suppose 0 = 5*k - 2*y - 774, -k = -7*y + 11*y - 146. What is the greatest common factor of 14 and k? 14 Let t(d) = -d**3 - 12*d**2 - 3*d - 24. Let b be t(-12). Let z be 306/11 + b/66. What is the highest common factor of 7 and z? 7 Let y = 143 + -113. What is the greatest common divisor of y and 1830? 30 Suppose 0 = 10*i + 164 - 414. Calculate the highest common divisor of 70 and i. 5 Let q(d) = -24*d + 110. Let a be q(-3). Calculate the highest common divisor of 140 and a. 14 Let u = -37 + 49. Suppose -35 = -4*l - 11. Let q = 2 + l. Calculate the greatest common factor of u and q. 4 Let u = -11 + 27. Suppose -39*r - 320 = -44*r. What is the highest common factor of u and r? 16 Suppose -4*t = 5*l - 88, l - 3*l = t - 37. Let u = 4 - -1. Suppose -2*k - 892 = -u*d, k + 0*k = -5*d + 904. Calculate the greatest common divisor of l and d. 20 Suppose 0*j = -3*j - 6, 114 = -w - 4*j. Let o = w - -121. Calculate the highest common divisor of o and 165. 15 Let u = -1119 + 1139. Calculate the greatest common factor of u and 7. 1 Suppose 560 = -2*b + 6*b - 5*z, -3*b = 2*z - 397. Calculate the greatest common divisor of b and 9. 9 Let k be (-2)/((-4)/(-288)*-2). Let g be k/28 + 16/(-28). Suppose -g*f = -5*f - 3, -2*f = -3*m + 80. Calculate the greatest common factor of 39 and m. 13 Let j be (-11620)/(-100) + 4/(-20). What is the greatest common factor of 8 and j? 4 Let i be (0 - (1 + -11)) + 1. Let z be (0/(-2 + (1 - 1)))/(-1). Suppose -5*s + 26 + 29 = z. What is the greatest common divisor of s and i? 11 Let f = 468 + -383. Calculate the highest common factor of 51 and f. 17 Suppose 7402 = 79*u + 687. What is the greatest common factor of u and 10? 5 Suppose -s + 3*s - 6 = 0. Suppose s*w = f + 2*f + 153, 4*f = -5*w + 291. Suppose -11*u + 12*u - w = 0. Calculate the greatest common factor of 22 and u. 11 Suppose -1318 = -15*j + 437. Calculate the greatest common factor of j and 156. 39 Let q(v) = 10*v**2 - 19*v - 1. Let h be q(-2). What is the greatest common divisor of 693 and h? 77 Let i be (10/(-4))/(4/240*-3). What is the greatest common factor of i and 750? 50 Let n be -16 + 13 + -5*1. Let w(k) = -k**2 - 5*k + 40. Let u be w(n). What is the highest common divisor of u and 24? 8 Suppose 52 = 5*b - 3*b. Calculate the highest common factor of 26 and b. 26 Let y(w) = 8*w. Let c be y(1). Suppose a + 288 = 5*a. What is the highest common factor of c and a? 8 Suppose 0 = -2*s + 18 - 8. Suppose s*x - 10 = 4*x. Let j = 214 - 134. Calculate the greatest common divisor of x and j. 10 Let t(h) = -h + 6. Let g be t(9). Let q be (10 + -16)/(g/1124). Let m be q/14 + 4/(-7). What is the highest common divisor of 64 and m? 32 Suppose 3*u - 9 = -k + 13, -15 = 3*k. What is the greatest common factor of 51 and u? 3 Let v be 4/(-8) - 142/(-4). Let t = -2104 - -2139. Calculate the greatest common divisor of v and t. 35 Suppose -2*b + r + 955 = 0, -26*r = -27*r + 5. Calculate the greatest common divisor of 96 and b. 96 Let d be (40/20)/((-4)/(-38)). Let t be 2*3/(-2) + 136. What is the greatest common divisor of d and t? 19 Let j(v) = -648*v - 2. Let r be j(-1). What is the highest common divisor of r and 38? 38 Let t be (-3 + 1)*((-4 - -2) + -16). What is the greatest common divisor of t and 108? 36 Suppose 135 = 5*d - 0*d - 5*q, 5*q = 4*d - 106. Calculate the highest common divisor of 1769 and d. 29 Let h = 377 + -352. Let j(a) = 9*a**2 - 2*a. Let v be j(3). Calculate the highest common factor of h and v. 25 Let h(d) = 12*d**2 - 3*d - 2. Let o be h(-3). Let w = o + -83. What is the greatest common factor of 32 and w? 32 Let h(x) = 3*x**2 + 10*x + 5. Let r be h(-4). Let f = -25 + r. Let g = f - -20. Calculate the highest common factor of 64 and g. 8 Let y be 0 + (2 - -1) + 211 + -34. What is the greatest common factor of y and 40? 20 Suppose -39 = 5*h + 21. Let t(n) = -n**2 + 5*n - 4. Let y be t(5). Let d = y - h. What is the greatest common divisor of d and 1? 1 Let d = 4 - 5. Let z be (-44)/d - -1 - 3. Suppose n + z = 2*n. What is the greatest common factor of n and 105? 21 Let i(z) = 14*z**2 - z. Let a be i(1). Let x = a - 11. Let h(g) = g + 14. Let r be h(0). Calculate the highest common divisor of r and x. 2 Let x = 17 - 4. Calculate the highest common divisor of x and 13. 13 Let c(m) = 2*m**3 - 2*m**2 - 6*m + 3. Let h(x) = -x**2 - 4*x + 4. Let q be h(-4). Let t be c(q). What is the highest common factor of t and 30? 15 Let c(m) = -m - 6. Let o be c(-8). Suppose -3*t + o*z = -56, 0 = 5*t + z - 0*z - 102. What is the highest common factor of t and 5? 5 Suppose 0*o = -4*g + 5*o + 8, 5*o - 34 = -2*g. What is the greatest common factor of g and 14? 7 Suppose 8*o + 0 = 176. Let r = -8 + 63. What is the greatest common divisor of r and o? 11 Let l = 1756 - 1162. Calculate the greatest common factor of l and 3. 3 Suppose -4*i - 2 + 170 = 3*p, -p + 2*i = -66. What is the greatest common divisor of 60 and p? 60 Let t(m) = m**2 - 20. Let q be (-4)/(-4)*(14 - 0). Let b be t(q). Suppose 2*c = -0*c + b. Calculate the highest common factor of c and 8. 8 Suppose 8*l - 6 = 10*l, s - 131 = 5*l. Let j = s + -80. What is the highest common factor of j and 9? 9 Suppose 3*j = 3*v + 12, 4*v + 16 = 3*j - j. Suppose -2*g - 41 = -y, 2*g + 0*g + 6 = j. Suppose 0 = -3*c + 9 + 6. What is the greatest common divisor of c and y? 5 Suppose -337 = l - 975. Calculate the highest common factor of l and 44. 22 Let n = 151 + -91. Let w be 1/(((-4)/n)/(-1)). What is the highest common factor of 135 and w? 15 Let p(m) = 4*m**3 + m**2 + m - 2. Le
{ "pile_set_name": "DM Mathematics" }
et d be q(2). Let z = -17 + d. Let x be 8/8*z/1. Calculate the greatest common factor of x and 117. 13 Let d be ((-52)/(-12))/((-2)/(-78)). Suppose 2*r + 15*o - 62 = 13*o, -110 = -5*r + 4*o. Calculate the highest common factor of d and r. 13 Suppose -m + 2*k = 939 - 964, 0 = -5*m - 5*k + 35. Let a be (1 - 170)*(-2)/2. Calculate the highest common factor of a and m. 13 Let q(k) = 2*k**2 + 38*k - 190. Let x be q(5). What is the highest common divisor of 9000 and x? 50 Let f be (-303)/(-2) - (-7)/(-14). Suppose -5*h - 111 = -4*g, 4*g + 6*h - f = 3*h. Calculate the highest common divisor of 17 and g. 17 Suppose -174*v = 29*v - 686546. Calculate the greatest common factor of 38 and v. 38 Suppose -y = 3*g - 1191, -6*g - 1985 = -11*g - 3*y. Suppose -g = -3*w + 251. Calculate the greatest common divisor of w and 162. 54 Suppose 5*t - h = 51622, 2*t - 22*h = -20*h + 20644. Calculate the greatest common divisor of 35 and t. 35 Let n(g) = 2*g**2 + 107*g + 113. Let m be n(-53). Let c(l) = 16*l - 12. Let t be c(7). What is the highest common divisor of t and m? 20 Let c(b) = -2*b**3 + 36*b**2 + 45*b + 19. Let o be c(19). Suppose -19*y = -o + 57. Let t be 1 + -4 - -57 - -1. What is the highest common divisor of y and t? 5 Let n(q) be the first derivative of -q**3/3 + 6*q**2 - 29*q - 333. Let g be n(4). Calculate the greatest common divisor of g and 237. 3 Let g(i) = 8*i**2 + 6*i - 1. Let b be g(-4). Suppose 5*y - b = 197. Calculate the greatest common divisor of 20 and y. 20 Let m be (140/(-112)*12/(-10))/(12/1344). What is the greatest common factor of m and 17304? 168 Let a be (28/6)/((-2)/(-6)). Let r(s) = 17 + 112*s - 4 + 15 - 113*s. Let y be r(a). Calculate the highest common factor of 224 and y. 14 Let z be (-2)/(2/(-4)*-2). Let o be z/(((-6)/(-15))/(8/(-10))). Suppose o*m = -2*f + 102, 2*f - 27 = -m + f. Calculate the highest common factor of m and 3. 3 Suppose 4*p + 1304 = 152. Let h = 423 + p. Calculate the highest common factor of 15 and h. 15 Let c = 25 - 16. Let p(f) be the first derivative of f**3/3 + 17*f**2 - 27*f + 48. Let u be p(-36). Calculate the highest common factor of c and u. 9 Suppose -3 = 3*a - 0*a. Let u be (-12)/a - (-11 + 10). Suppose u*h - 110 = 3*h. What is the greatest common divisor of h and 275? 11 Suppose 3740 = 4*f + 4*n, 4702 = 5*f - 14*n + 10*n. What is the highest common divisor of f and 98? 14 Let y(a) = -3*a + 33. Let m be ((-30)/9 - 1)*(-10 + 16). Let b be y(m). Suppose 3*k + 37 = 4*k. Calculate the greatest common divisor of b and k. 37 Let u(t) = 74*t**2 + 34*t + 293. Let j be u(-10). What is the highest common divisor of 86 and j? 43 Let j = -129 - -120. Let q(m) = -24*m - 202. Let w be q(j). Let n = 4 - 2. What is the greatest common divisor of w and n? 2 Let i = -2962 - -3022. What is the highest common divisor of i and 1290? 30 Suppose -379086 = -141*l + 12*l - 5*l. Calculate the greatest common factor of l and 46. 23 Suppose 3*x + 4*m - 52 = 172, -x = m - 74. What is the greatest common factor of x and 1200? 24 Let r = 171 + -169. Suppose 4*z = 4*m + 492, m + 58 + 185 = r*z. Calculate the highest common factor of z and 24. 24 Suppose c - 5 = 12. Let x be (-5 - (-11 + 6)) + 1263*4. Suppose -3 = 33*k - x. What is the greatest common divisor of k and c? 17 Suppose x + 1 - 131 = 0. Let y(j) = 31*j + 1. Let g be y(1). Suppose 2*v - 36 - 31 = -5*z, -v - 2*z = -g. What is the greatest common factor of x and v? 26 Let w(t) = -t - 9 + 0*t + 14. Let o be w(-12). Suppose -3*z - o = -86. What is the greatest common factor of 115 and z? 23 Suppose -82*j + 2*g + 25140 = -78*j, -4*g = -3*j + 18850. Calculate the greatest common factor of j and 28. 14 Let a(n) = -n**3 + 156*n**2 - 1029*n + 254. Let c be a(149). Calculate the greatest common factor of c and 570. 30 Let t = -172 - -186. Calculate the greatest common divisor of 72 and t. 2 Suppose -4*w - 172 - 636 = 0. Let d = -158 - w. What is the greatest common factor of d and 110? 22 Suppose -181*r = -164*r - 527. What is the highest common factor of 9 and r? 1 Let h(l) = 26*l + 4. Let n(q) = 4*q + 10 - 30 + 13 - 55*q. Let w(u) = 5*h(u) + 3*n(u). Let v be w(-1). Calculate the highest common divisor of 154 and v. 22 Let o be (-1016275)/(-5369) - 1/(-7)*-2. Calculate the highest common divisor of o and 441. 63 Suppose -2*z + 310 = -5*x, 5*z = x + 4*x + 310. Let r = -31 - x. Let j = r + -21. What is the greatest common factor of j and 15? 5 Suppose -5*g + 2*g = 324. Let a = 262 + 44. Let v = g + a. What is the greatest common divisor of 18 and v? 18 Suppose 3*u - 3*v - 60 = 0, 0 = 2*v + 2*v - 8. Calculate the highest common divisor of u and 2343. 11 Let x = -20 - 18. Let i = x + 40. Suppose 0 = -0*l + 2*l - i. What is the highest common divisor of 3 and l? 1 Suppose 0 = 2*f - a - 11, -5*f - 2*a + 46 = -4. Suppose -5*j + 59 = -l, f*l + 50 = 4*j + 10*l. What is the highest common divisor of 20 and j? 4 Suppose 10*s + 1455 = -7315. Let l = s - -1417. What is the greatest common factor of 120 and l? 60 Let q be (9/((-27)/8))/(1/(-18)). What is the greatest common factor of 2088 and q? 24 Let v be ((-57)/12)/(((-3)/828)/((-2)/(-6))). What is the highest common divisor of v and 380? 19 Suppose 259*c = 239*c + 9180. Calculate the highest common factor of c and 27. 27 Let d be (2 + 1)/(279/8835). What is the highest common divisor of d and 3040? 95 Let l be (-2484380)/(-153) - 12/(-54) - -9. Calculate the highest common divisor of 422 and l. 211 Suppose -18*k + 556 = -2720. What is the greatest common factor of k and 6643? 91 Let z = -101 - -72. Let n = -25 - z. Suppose 5*y = 4*k - 18, -k + 2*y = n*y + 2. Calculate the highest common factor of k and 2. 2 Suppose 717*b + 10 = 727*b. Suppose -l + b = 0, 27 = 2*o + l - 184. Calculate the greatest common divisor of 280 and o. 35 Suppose 4*b = 2*r + 530, -4*r + 0*r + 536 = 4*b. Let z(i) = 127*i - 70. Let k be z(1). Calculate the greatest common divisor of b and k. 19 Suppose 5*x - 2*o - 96 = 0, -x - 2*o - 36 = -3*x. Suppose -27*z - x = -32*z. Calculate the greatest common divisor of z and 80. 4 Suppose 0 = 3*z + 7*a - 40, 4*z - 2*a + 113 = 223. What is the greatest common factor of z and 150? 25 Suppose 1686 = 2*l + 2*z, 6528 = 6*l + 3*z + 1464. Calculate the highest common factor of l and 2873. 169 Let b be 242/2 - (2 - (3 + 2)). Let r = -109 + b. Calculate the highest common divisor of 60 and r. 15 Let v(p) = -2*p**3 + 24*p**2 - 42*p - 24. Let n be v(9). What is the greatest common divisor of 3808 and n? 28 Let l be (15*(5/(-3) - 30/10))/(-2). What is the greatest common divisor of 259 and l? 7 Let p(c) = c**3 - 4*c**2 - 2*c + 3. Let s be p(5). Let n = 20 + -56. Let k = n + 180. What is the greatest common factor of s and k? 18 Suppose -3*t + 14 + 19 = 0. Let j(a) = -21*a - 3. Let w be j(-1). Let k be (-24)/w*66/(-4). What is the greatest common factor of t and k? 11 Let v = 161 - 161. Suppose 2255 = 4*g - 3*a, v*a - 4*a - 20 = 0. Calculate the greatest common divisor of g and 70. 70 Suppose 5*f - 72 = -4*x, 3*x + 10 = 3*f - 17. Suppose -f*l = -19*l + 3584. Calculate the highest common factor of 16 and l. 16 Suppose 7*a - 147 = -3*d + 6*a, -d = -5*a - 81. What is the greatest common factor of 136 and d? 17 Let q be (-9)/9*-3 + (0 - -1). Suppose -3*f - 1 = -4*p, p = 3*p - q*f + 12. Let a be p/((-16)/4)*(-104)/4. Calculate the greatest common divisor of a and 13. 13 Let v be 6*3/6*438/18. Suppose -689*s + 511 = -688*s. What is the greatest common divisor of v and s? 73 Let z(d) = -d**2 - 33*d - 62. Let i be z(-20). Suppose -w - 78 = -i. Calculate the greatest common divisor of 105 and w. 15 Let q = 23855 + -22751. What is the highest common divisor of q and 851? 23 Let v(b) = 7*b**2 + 100*b + 6. Let o be v(-15). Calculate the greatest common divisor of o and 864. 27 Suppose 4*y + 17*y - 111 = 918. What is the greatest common divisor of 462 and y? 7 Suppose -6 = -2*l + 12. Let d be l - 3 - (-7 + 2). Let y(i) = -i**2 + 8*i - 4. Let b be y(5). What is the greatest common factor of d and b? 11 Let d be (-20)/45 + 7150/90. Calculate the greatest common factor of 79 and d. 79 Suppose -17*l - 276*l = -7994505. What is the greatest common divisor of 255 and l? 255 Let r = 341 - 61. Let j = r + -231. Calculate the highest common divisor of 294
{ "pile_set_name": "DM Mathematics" }
+ 2 What is the w'th term of 508, 1026, 1546, 2068, 2592? w**2 + 515*w - 8 What is the u'th term of -10, -120, -412, -976, -1902? -15*u**3 - u**2 - 2*u + 8 What is the a'th term of -7, -23, -39, -55, -71? -16*a + 9 What is the f'th term of -1216, -1212, -1208? 4*f - 1220 What is the a'th term of 217, 31, -157, -347? -a**2 - 183*a + 401 What is the j'th term of -30, -30, -26, -18, -6? 2*j**2 - 6*j - 26 What is the i'th term of -589, -629, -659, -673, -665, -629, -559? i**3 - i**2 - 44*i - 545 What is the z'th term of -108, -219, -316, -393, -444, -463? z**3 + z**2 - 121*z + 11 What is the j'th term of 15, 192, 683, 1644, 3231, 5600, 8907, 13308? 26*j**3 + j**2 - 8*j - 4 What is the u'th term of 124, 189, 232, 241, 204, 109? -2*u**3 + u**2 + 76*u + 49 What is the x'th term of 85, 167, 241, 301, 341, 355, 337, 281? -x**3 + 2*x**2 + 83*x + 1 What is the p'th term of 3, -12, -49, -120, -237, -412, -657? -2*p**3 + p**2 - 4*p + 8 What is the o'th term of 2377, 2378, 2379, 2380, 2381, 2382? o + 2376 What is the o'th term of 5, -51, -145, -277? -19*o**2 + o + 23 What is the p'th term of 0, 18, 46, 84, 132, 190, 258? 5*p**2 + 3*p - 8 What is the z'th term of 33, 16, -15, -66, -143, -252? -z**3 - z**2 - 7*z + 42 What is the z'th term of -541, -542, -543? -z - 540 What is the r'th term of -1859, -1857, -1855, -1853, -1851, -1849? 2*r - 1861 What is the b'th term of -25, 3, 69, 191, 387, 675, 1073? 3*b**3 + b**2 + 4*b - 33 What is the r'th term of -119, -116, -109, -98, -83, -64, -41? 2*r**2 - 3*r - 118 What is the z'th term of -206, -393, -580, -767, -954, -1141? -187*z - 19 What is the p'th term of -136, -263, -390, -517, -644? -127*p - 9 What is the l'th term of -1964, -3928, -5892, -7856? -1964*l What is the j'th term of 337, 374, 409, 442, 473, 502, 529? -j**2 + 40*j + 298 What is the c'th term of -464, -932, -1402, -1874, -2348, -2824? -c**2 - 465*c + 2 What is the r'th term of -70, -64, -54, -40, -22? 2*r**2 - 72 What is the y'th term of 68, 77, 82, 83? -2*y**2 + 15*y + 55 What is the v'th term of -343, -342, -341, -340? v - 344 What is the u'th term of 256, 267, 278, 289? 11*u + 245 What is the q'th term of -226, -230, -234, -238, -242, -246? -4*q - 222 What is the p'th term of -639, -638, -637? p - 640 What is the q'th term of -67, -134, -201, -268, -335, -402? -67*q What is the m'th term of 20, 28, 42, 62? 3*m**2 - m + 18 What is the w'th term of -8, -187, -678, -1637, -3220, -5583, -8882, -13273? -26*w**3 + 3*w + 15 What is the c'th term of -8, -23, -48, -83, -128? -5*c**2 - 3 What is the c'th term of -842, -834, -814, -776, -714, -622, -494? c**3 + c - 844 What is the f'th term of 95, 86, 75, 62, 47? -f**2 - 6*f + 102 What is the d'th term of 22, 15, 2, -17, -42, -73, -110? -3*d**2 + 2*d + 23 What is the y'th term of -4847, -4848, -4849? -y - 4846 What is the o'th term of 73, 284, 635, 1126, 1757? 70*o**2 + o + 2 What is the y'th term of 1, 71, 253, 601, 1169, 2011? 9*y**3 + 2*y**2 + y - 11 What is the r'th term of 52, 164, 342, 580, 872, 1212? -r**3 + 39*r**2 + 2*r + 12 What is the j'th term of 77, 85, 93, 101, 109? 8*j + 69 What is the y'th term of 29, 77, 137, 203, 269, 329, 377? -y**3 + 12*y**2 + 19*y - 1 What is the p'th term of -172, -684, -1534, -2716, -4224? p**3 - 175*p**2 + 6*p - 4 What is the o'th term of 284, 290, 296, 302? 6*o + 278 What is the t'th term of -15577, -15575, -15573? 2*t - 15579 What is the y'th term of -43, -39, -35? 4*y - 47 What is the m'th term of -15, -65, -151, -273? -18*m**2 + 4*m - 1 What is the y'th term of 35, 0, -65, -166, -309? -y**3 - 9*y**2 - y + 46 What is the c'th term of -135, -130, -111, -72, -7, 90, 225, 404? c**3 + c**2 - 5*c - 132 What is the h'th term of 10, -104, -302, -590, -974? -h**3 - 36*h**2 + h + 46 What is the b'th term of -439, -444, -451, -460? -b**2 - 2*b - 436 What is the d'th term of -177, -356, -535, -714, -893, -1072? -179*d + 2 What is the c'th term of 12, 32, 52, 72, 92, 112? 20*c - 8 What is the o'th term of -128, -135, -142, -149? -7*o - 121 What is the j'th term of 695, 962, 1241, 1538, 1859, 2210, 2597? j**3 + 260*j + 434 What is the t'th term of 126, 130, 138, 150, 166? 2*t**2 - 2*t + 126 What is the t'th term of -395, -415, -477, -605, -823, -1155, -1625, -2257? -4*t**3 + 3*t**2 - t - 393 What is the v'th term of 108, 211, 312, 411, 508? -v**2 + 106*v + 3 What is the x'th term of 109, 218, 327, 436? 109*x What is the d'th term of -77, -71, -53, -17, 43, 133, 259? d**3 - d - 77 What is the u'th term of -40, -58, -110, -214, -388, -650? -3*u**3 + u**2 - 38 What is the v'th term of -28, -57, -88, -121? -v**2 - 26*v - 1 What is the y'th term of 1772, 3547, 5324, 7103, 8884, 10667, 12452? y**2 + 1772*y - 1 What is the k'th term of -171, -179, -187? -8*k - 163 What is the h'th term of -623, -643, -663, -683, -703, -723? -20*h - 603 What is the k'th term of 4, 15, 28, 43, 60, 79? k**2 + 8*k - 5 What is the s'th term of 892, 1799, 2708, 3619, 4532, 5447, 6364? s**2 + 904*s - 13 What is the b'th term of 229, 454, 655, 820, 937, 994, 979, 880? -2*b**3 + 239*b - 8 What is the c'th term of 13, 6, -21, -80, -183, -342, -569? -2*c**3 + 2*c**2 + c + 12 What is the k'th term of -6, -16, -40, -84, -154, -256? -k**3 - k**2 - 4 What is the r'th term of -15, -97, -319, -753, -1471, -2545? -12*r**3 + 2*r**2 - 4*r - 1 What is the u'th term of 608, 624, 648, 680, 720? 4*u**2 + 4*u + 600 What is the l'th term of 59, 52, 33, -4, -65, -156, -283? -l**3 + 60 What is the t'th term of 26, 32, 38, 38, 26? -t**3 + 6*t**2 - 5*t + 26 What is the h'th term of 294, 591, 888, 1185, 1482? 297*h - 3 What is the f'th term of 639, 1301, 1963, 2625, 3287, 3949? 662*f - 23 What is the w'th term of -2, -9, -34, -83, -162, -277, -434? -w**3 - 3*w**2 + 9*w - 7 What is the l'th term of 539, 538, 537? -l + 540 What is the h'th term of 0, -13, -28, -45, -64, -85, -108? -h**2 - 10*h + 11 What is the a'th term of 82, 96, 122, 166, 234? a**3 + 7*a + 74 What is the c'th term of 17, 21, 43, 95, 189, 337, 551, 843? 2*c**3 - 3*c**2 - c + 19 What is the l'th term of 101, 122, 145, 170, 197, 226? l**2 + 18*l + 82 What is the i'th term of -175, -171, -169, -169? -i**2 + 7*i - 181 What is the u'th term of 1669, 3335, 4991, 6631, 8249, 9839, 11395? -u**3 + u**2 + 1670*u - 1 What is the k'th term of -6453, -12904, -19353, -25800? k**2 - 6454*k What is the l'th term of 6675, 6673, 6671? -2*l + 6677 What is the r'th term of 493, 496, 499, 502, 505, 508? 3*r + 490 What is the v'th term of 5, -1, -43, -139, -307, -565, -931? -3*v**3 + 15*v - 7 What is the p'th term of -20, -38, -56, -74, -92? -18*p - 2 What is the l'th term of -30, -50, -64, -72, -74? 3*l**2 - 29*l - 4 What is the v'th term of 2, 114, 426, 1040, 2058, 3582, 5714, 8556? 17*v**3 - 2*v**2 - v - 12 What is the x'th term of -3, -16, -37, -66, -103, -148? -4*x**2 - x + 2 What is the c'th term of 84, 156, 228, 300, 372? 72*c + 12 What is the r'th term of -153, -231, -309, -387? -78*r - 75 What is the t'th term of 26, 56, 134, 284, 530, 896? 4*t**3 + 2*t + 20 What is the d'th term of -40, -33, -38, -55, -84, -125, -178? -6*d**2 + 25*d - 59 What is the a'th term of -88, -69, -24, 59, 192? 2*a**3 + a**2 + 2*a - 93 What is the h'th term of 147, 106, 57, -6, -89, -198, -339, -518? -h**3 + 2*h**2 - 40*h + 186 What is the m'th term of -76, -146, -210, -268, -320, -366? 3*m**2 - 79*m What is the h'th term of 913, 923, 943, 979, 1037, 1123? h**3 - h**2 + 6*h + 907 What is the l'th term of 14, 93, 234, 449, 750, 1149, 1658? 2*l**3 + 19*l**2 + 8*l - 15 What is the c'th term of 316, 632, 948, 1264, 1580, 1896? 316*c What is the j'th term of 11, 6, 1? -5*j + 16 What is the p'th term of -348, -1408, -3174, -5646? -353*p**2 - p + 6 What is the n'th term of 35, 74, 139, 242, 395, 610, 899, 1274? 2*n**3 + n**2 + 22*n + 10 What is the n'th term of -105, -237, -385, -555, -753, -985, -1257, -1575? -n**3 - 2*n**2 - 119*n + 17 What is the a'th term of 589, 2352, 5289, 9400, 14685, 21144? 587*a**2 + 2*a What is the t'th term of -18, -72, -168, -312, -510? -t**3 - 15*t**2 - 2*t What is the u'th term of -107, -108, -111, -116? -u**2 + 2*u - 108 What is the n'th term of 33, 13, -17, -57, -107, -167? -5*n**2 - 5*n + 43 What is the i'th term of -2, -9, -38, -101, -210, -377, -614, -933? -2*i**3 + i
{ "pile_set_name": "DM Mathematics" }
24*b Let q(a) be the first derivative of a**2/2 + 221*a + 6097. Let b(m) = -2*m**2. Calculate b(q(f)). -2*f**2 - 884*f - 97682 Let a(k) be the third derivative of k**5/20 + 27*k**2 + 8*k - 3. Let w(o) = o + 3*o**2 - 2*o**2 - 4*o**2 - 5*o**2. What is w(a(x))? -72*x**4 + 3*x**2 Let r(p) be the first derivative of -2*p**3/3 - 5. Let g = -9008 + 17734. Let h(o) = -6*o + g - 8726. Give h(r(l)). 12*l**2 Let w(i) = -274*i + 1. Let f(l) = 54*l + 45 - 52*l - 108 + 63. Calculate w(f(x)). -548*x + 1 Let i(a) be the first derivative of 0*a - 13 - 1/2*a**2. Let o(h) = -6*h**2 + 2*h. Determine o(i(b)). -6*b**2 - 2*b Let n(i) = 19*i**2 + 2. Suppose -4*p + 8*q = 3*q - 23, 4*q + 12 = 0. Let o(l) = 94*l**2 + 11. Let s(m) = p*o(m) - 11*n(m). Let y(a) = -6*a**2. What is y(s(r))? -2646*r**4 Let d(g) be the first derivative of -g**4/4 - 142*g + 103. Let w(m) be the first derivative of d(m). Let q(u) = 121*u**2. Determine q(w(s)). 1089*s**4 Let d(t) = 9 - 16 - t + 7. Let f(b) = -2*b - 3. Let k(n) = -n - 2. Let q(y) = f(y) + k(y). Determine q(d(x)). 3*x - 5 Let v(r) = -7*r**2. Let o(w) = 1338736*w**2. Calculate o(v(p)). 65598064*p**4 Let c(i) = -22202*i**2 - 204*i + 204. Let h(p) = -1083*p**2 - 10*p + 10. Let f(g) = -5*c(g) + 102*h(g). Let v(w) = -4*w**2. What is v(f(m))? -1183744*m**4 Let b(c) = 3*c + 4. Suppose 13*d = 18*d + 20. Let l(h) = -h - 3. Let j(n) = d*l(n) - 3*b(n). Let u(x) = -x**2 + x. What is j(u(m))? 5*m**2 - 5*m Let y(x) = 59*x. Let j(m) be the second derivative of 5*m**4/12 - 302*m. Give j(y(o)). 17405*o**2 Let l(v) = -404*v + 93. Let u(w) = 403*w - 78. Let m(z) = -5*l(z) - 6*u(z). Let f(d) = -d**2. What is m(f(x))? 398*x**2 + 3 Let y(w) be the third derivative of -w**5/60 - 5*w**2. Let z(l) = -12*l - 16*l + 58*l + 1 - 11*l - 9*l. What is z(y(q))? -10*q**2 + 1 Let k(x) be the second derivative of x**4/12 - 11913*x. Let j(o) = -12847*o. Determine k(j(a)). 165045409*a**2 Let x(s) = -s. Let i(z) = -7*z - 1. Let o(d) = -58*d - 5. Let r(n) = -29*n - 3. Let f(a) = -2*o(a) + 5*r(a). Let q(y) = -2*f(y) + 9*i(y). What is q(x(l))? 5*l + 1 Let b = -30 - -38. Suppose -b = -m + o, -2*o = -0*m - m + 11. Let y(r) = 2*r + 14*r + m - 5. Let j(u) = -2*u. Determine j(y(p)). -32*p Let z(w) = -1469*w**2. Let q(x) = -5240*x. What is z(q(j))? -40335214400*j**2 Let h(n) be the second derivative of 7*n**3/3 + 5162*n. Let b(d) = -5*d + 24. What is b(h(a))? -70*a + 24 Let j(h) = -4*h. Let z(f) = 135 + 1243*f**2 + 149 - 418 + 134. Determine z(j(i)). 19888*i**2 Let v(k) = 3424 - 3424 - k**2. Let l(r) be the second derivative of -r**6/48 - 5*r**4/12 + 4*r. Let y(p) be the third derivative of l(p). Calculate y(v(f)). 15*f**2 Let t(j) = -81232832*j**2. Let a(o) = -o. What is a(t(w))? 81232832*w**2 Let d(b) = 3*b**2 + 2*b**2 - 11*b**2 - b**2. Let x(s) = -38*s**2 + 49*s + 7. Let w(o) = 94*o**2 - 126*o - 18. Let c(u) = -7*w(u) - 18*x(u). Determine d(c(l)). -4732*l**4 Let y(a) = 2*a. Let v(t) = 1519373*t + 3. Determine v(y(r)). 3038746*r + 3 Let v = 12 + 24. Let g(k) = k**2 - 36*k + v*k. Let w(p) = 44*p**2 + 3*p. Let l(t) = 65*t**2 + 4*t. Let m(x) = 5*l(x) - 7*w(x). Calculate m(g(c)). 17*c**4 - c**2 Let k(w) = 4342257*w**2. Let c(z) = z**2. Determine c(k(t)). 18855195854049*t**4 Let p(l) = -4*l**2. Suppose 840 = 385*u - 379*u. Let g(m) = 130*m**2 - 419*m**2 + u*m**2 + 131*m**2. Give p(g(j)). -1296*j**4 Let i(q) = q. Let b(d) = 78*d + 45. Let o(s) = -39*s - 17. Let k(x) = -2*b(x) - 5*o(x). Determine k(i(y)). 39*y - 5 Let l(k) = 78*k**2. Let v(g) be the second derivative of 13*g**4/3 + 471*g + 2. Give v(l(p)). 316368*p**4 Let h = 63 - -268. Let l = h + 343. Let d(a) = 674 + 18*a - l. Let f(u) = -2*u. What is d(f(b))? -36*b Let g(t) = -t. Let l(i) = -20*i - 134. Let c be (9/15)/(8/120). Let f(h) = 9*h + 66. Let k(b) = c*f(b) + 4*l(b). Determine k(g(v)). -v + 58 Let p(n) = -704*n + 5 + 118*n - 6 + 1. Let u(x) = 3*x**2. Calculate p(u(t)). -1758*t**2 Let m(p) = 18*p**2. Let z(l) = -12*l**2 - 6*l - 45. Let q(y) = -25*y**2 - 10*y - 75. Let d(b) = -3*q(b) + 5*z(b). Give d(m(j)). 4860*j**4 Let r(d) = -6*d**2 + 0*d**2 + d**2 + 5*d**2 + 4*d**2. Let v(t) = -11*t - 208 + 414 - 206. What is v(r(b))? -44*b**2 Let r(s) = -4656*s**2 + 22*s. Let n(y) = -y**2. Give r(n(v)). -4656*v**4 - 22*v**2 Let v(q) = -10*q**2 + 4268. Let d(j) = -217*j**2. Calculate v(d(s)). -470890*s**4 + 4268 Let t = 9 - 7. Let w(m) = m**2 + m**2 + 4*m**t + 10*m**2. Let u(k) = 3*k. What is w(u(a))? 144*a**2 Let j(h) = 46*h. Let y(p) = 62*p**2 + 73*p - 168*p**2 - 76*p + 72*p**2. Give j(y(m)). -1564*m**2 - 138*m Let k(v) = -15*v**2 + 117*v + 39. Let q(t) = -2*t**2 + 15*t + 5. Let s(m) = -5*k(m) + 39*q(m). Let r(w) = 220*w. Give s(r(z)). -145200*z**2 Let r(v) = 187*v**2. Let d(i) be the first derivative of i**2/2 - 2249. Give d(r(q)). 187*q**2 Let n(p) = -36*p**2. Let k(t) = -14*t + 22. Let q be (-12 - -2) + 2/(4/(-2)). Let g(z) = 5*z - 8. Let v(l) = q*g(l) - 4*k(l). Determine n(v(i)). -36*i**2 Let l(u) = -69*u - 36. Let k(z) = -2*z - 3. Let y(x) = 12*k(x) - l(x). Let s(n) be the first derivative of 1/2*n**2 + 1 + 0*n. What is s(y(q))? 45*q Let r(k) = 16*k**2. Let v(y) = 743*y**2 + 1303*y. Calculate v(r(d)). 190208*d**4 + 20848*d**2 Let l(m) = -6*m + 1583. Let t(v) = 5317*v. Calculate l(t(n)). -31902*n + 1583 Let l(q) = -q + 1. Let g(x) = 3*x + 3. Let j(i) = -g(i) + 3*l(i). Let k(t) = -285*t + 17. Let n(w) = 68*w - 4. Let a(p) = 4*k(p) + 17*n(p). Calculate a(j(b)). -96*b Let b(z) = -21*z + 2. Let y(g) = -2185*g + 209. Let x(w) = 209*b(w) - 2*y(w). Let n(h) be the first derivative of 5*h**2/2 + 217. What is n(x(v))? -95*v Let q(b) = 18*b. Let l(t) = 25881055*t**2. Determine q(l(g)). 465858990*g**2 Let g(u) = -7*u. Let q(x) = -6*x + 187731. What is g(q(m))? 42*m - 1314117 Let k(l) = 282*l - 528*l + 278*l. Let z(j) = 4*j. What is k(z(r))? 128*r Let c(m) = -1134*m - 4. Let n(j) = -725*j. Give n(c(k)). 822150*k + 2900 Let w(c) = 5*c**2 + 21*c + 7. Let r(z) = -z**2 - 6*z - 2. Let x(d) = 7*r(d) + 2*w(d). Let v(s) = s + 51. Calculate x(v(p)). 3*p**2 + 306*p + 7803 Let i(y) = -2*y**2 + 190*y - 10. Let o(t) = t**2 - 38*t + 2. Let u(m) = -2*i(m) - 10*o(m). Let x(g) = 888*g. Determine u(x(c)). -4731264*c**2 Let w(c) = c**3 + 11*c - 28. Let h be w(7). Let s(m) = -h*m + 392*m + m**2. Let t(y) = 2*y**2 + 29. Determine s(t(p)). 4*p**4 + 116*p**2 + 841 Let z(x) = -x**2. Let c(p) be the first derivative of -2*p**2 - 6*p - 1234. Give c(z(h)). 4*h**2 - 6 Let g(d) be the first derivative of d**2/2 - 40*d - 13929. Let v(p) = -6*p**2 + 12. What is v(g(h))? -6*h**2 + 480*h - 9588 Let u(x) = -2*x**2. Suppose -5312 = 32*c - 40*c. Let a(d) = -641*d**2 + 1180*d**2 - c*d**2. Give u(a(s)). -31250*s**4 Let m(t) = -t - 2074. Let i(g) = 7262*g**2. Give m(i(b)). -7262*b**2 - 2074 Let a(d) = 82*d + 2. Let t(y) = 26*y. Let f(l) = -6*a(l) + 19*t(l). Let o(b) = 27*b - 2. Calculate f(o(q)). 54*q - 16 Let z(o) = -270*o**2 + 1099*o**2 - 281*o**2 - 278*o**2 - 272*o**2. Let j(q) = -31*q**2. Give j(z(p)). -124*p**4 Let d(i) = 6217654*i**2. Let t(y) = 16*y. Calculate t(d(r)). 99482464*r**2 Let f(z) = 3*z + 4*z + 6815 - 6819. Let q(m) = 10*m - 5. Let j(n) = 5*f(n) - 4*q(n). Let x(h) be the second derivative of 5*h**3/6 + h. Give j(x(b)). -25*b Let n(h) = 55404306563 - 55404306563 + 9*h. Let t(w) be the third derivative of 0*w + 0*w**3 + 1/15*w**5 + 0 + 2*w**2 + 0*w**4. What is t(n(q))? 324*q**2 Let m be ((-8)/(-10))/((-4)/(-1970)). Let p(w) = 390*w - 780*w + m*w. Let i(g) = -21*g. What is i(p(y))? -84*y Suppose 10 - 55 = -3*g. Let l(c) = 1 + 9*c - 1 - g*c + 8*c. Let v(x) = 2*x**2 + 2. What is l(v(o))? 4*o**2 + 4 Let q(u) = -u**2 + 34*u. Let w(j) be the third derivative of j**5/20 + 80*j**2. Give w(q(p)). 3*p**4 - 204*p**3 + 3468*p**2 Let y(a) = 70*a + 67*a - 213*a + 74*a. Suppose -5*k = 4*m - 127, -4*m - 5*k + 43 = -3*m. Let d(s) = -2*s + 3*s + m*s**2 + s - 30*s**2. What is y(d(t))? 4*t**2 - 4*t Let q(j) = -6773*j**2. Let x(c) = 104732*c**2 - 104734*c**2 + 0*c + 0*c. What is x(q(s))? -91747058*s**4 Let n(i) = 31*i**2 - 300. Let a(j) = -24*j**2 + 301. Let z(k) = 4*a(k) + 3*n(k). Let r(w) = w. Give r(z(p)). -3*p**2 + 304 Let a(q) = -3*q. Let x(t) = 5465117*t**2 - 1. Determine x(a(z)). 49186053*z**2 - 1 Let f(p) = 11*p + 431 - 173 - 258. Let t(r) = 93*r. Determine t(f(j)). 1023
{ "pile_set_name": "DM Mathematics" }
*2 + 13*f + 8. Determine w(-6). 2 Let x(y) = -y**2 - 3*y + 3. What is x(2)? -7 Let g(d) = d**2 + 6*d - 10. Determine g(-7). -3 Let a(s) = -s**2 + 17*s - 29. Calculate a(2). 1 Let h(b) = b - 10. Give h(8). -2 Let d(f) = 2*f + 11. Give d(-16). -21 Let j(m) = 6*m - 19. What is j(3)? -1 Let f(y) = -y**2 + 14*y + 15. Determine f(15). 0 Let a(z) = z**2 - 8*z - 2. Give a(7). -9 Let k(c) = c**2 - 8*c + 1. What is k(8)? 1 Let b(i) = 55*i - 24. Determine b(1). 31 Let n(o) = 2*o**3 - 4*o**2 + 7*o - 24. Determine n(3). 15 Let w(c) = -c**2 - 15*c + 1. Calculate w(-15). 1 Let n(a) = a**3 + 14*a**2 - 5*a - 23. Give n(-14). 47 Let j(q) = -q - 12. Calculate j(0). -12 Let j(q) = 54*q**2 + 2*q + 1. What is j(-1)? 53 Let d(q) = -q**2 - 5*q - 2. Calculate d(-5). -2 Let d(x) = 4*x**2 + 61*x + 21. What is d(-15)? 6 Let m(i) = 2*i**2 + 13*i + 4. Determine m(-5). -11 Let q(i) = -7*i + 14. Give q(6). -28 Let i(h) = 2*h**3 - 25*h**2 - 44*h + 24. Determine i(14). -4 Let r(z) = 3*z**2 + z - 1. What is r(1)? 3 Let h(v) = 15*v + 26. Give h(-2). -4 Let r(l) = 22*l + 430. What is r(-20)? -10 Let u(j) = -j**3 + 8*j**2 - 8*j - 2. What is u(7)? -9 Let c(t) = 7*t**2 - 13*t - 12. Determine c(-1). 8 Let d(g) = 30*g**2 - 2. Determine d(-2). 118 Let t(j) = j**2 + 9*j + 14. Determine t(-6). -4 Let z(y) = -y - 21. What is z(-12)? -9 Let r(n) = 2*n + 4. Calculate r(-7). -10 Let a(b) = -5*b - 9. Give a(-3). 6 Let u(r) = r**2 + 6*r + 6. What is u(-4)? -2 Let j(y) = -3*y - 50. Calculate j(-11). -17 Let t(z) = -z + 14. What is t(8)? 6 Let h(t) = -t**3 + t**2 - 2*t - 41. Determine h(0). -41 Let n(a) = a - 7. What is n(10)? 3 Let v(u) = 6*u - 6. What is v(9)? 48 Let c(p) = 4*p + 22. Calculate c(-17). -46 Let n(z) = -z**3 + 57*z**2 - 57*z + 58. Calculate n(56). 2 Let r(d) = -d**2 - 6*d + 12. Determine r(-6). 12 Let j(h) = -h**3 + h**2 + 7*h - 5. Determine j(4). -25 Let u(f) = -4*f + 10. What is u(4)? -6 Let w(q) = -q - 6. Give w(3). -9 Let m(a) = -9*a**3 + 2*a**2 + a - 1. Calculate m(1). -7 Let p(w) = -w**2 + 5*w + 24. What is p(8)? 0 Let d(k) = -3*k - 19. Give d(-9). 8 Let u(s) = -10*s**3 + 3*s**2 - 5*s + 3. Give u(1). -9 Let q(l) = 4*l + 85. Determine q(-10). 45 Let d(b) = b**2 - 46*b - 45. Determine d(-1). 2 Let m(j) = j**3 + j + 12. What is m(0)? 12 Let p(s) = -30*s - 79. What is p(-6)? 101 Let z(p) = p**2 + 10*p + 2. What is z(-4)? -22 Let p(s) = -s**2 - 4*s + 7. Give p(-10). -53 Let i(u) = 5*u - 29. Give i(9). 16 Let i(b) = -10*b + 46. Calculate i(10). -54 Let v(f) = 8*f**3 - f**2 - 4. Give v(-2). -72 Let f(k) = -3*k**2 - 145*k - 27. Give f(-48). 21 Let t(k) = 2*k**3 + 14*k**2 - 7*k - 15. Give t(-7). 34 Let l(d) = d**2 + 19*d - 27. Determine l(-20). -7 Let k(u) = 2*u**2 + 7*u + 4. What is k(-4)? 8 Let u(s) = 2*s**3 - s**2 + s - 4. What is u(3)? 44 Let g(c) = 6*c**2 + 41*c + 30. What is g(-6)? 0 Let p(u) = 7*u - 11. Calculate p(10). 59 Let f(l) = l**2 - 3*l - 11. Calculate f(-7). 59 Let k(y) = -5*y**2 - 46*y - 35. Determine k(-7). 42 Let k(t) = -t**2 + 2*t - 12. Determine k(10). -92 Let t(z) = -z + 1. What is t(-2)? 3 Let c(h) = -h**3 - 14*h**2 - 14*h + 14. Determine c(-13). 27 Let r(x) = -x**2 - 6*x + 19. Calculate r(-10). -21 Let p(g) = -g**2 - 13*g - 1. What is p(-12)? 11 Let o(q) = 2*q**2 + 13*q + 6. Give o(-6). 0 Let f(u) = 11*u**3 - u**2 - 2*u - 1. Give f(-1). -11 Let m(y) = 5*y - 299. What is m(59)? -4 Let r(j) = -35*j + 468. What is r(13)? 13 Let u(z) = z**2 - 4*z - 5. Calculate u(5). 0 Let k(q) = -q - 3. Give k(2). -5 Let u(n) = 6*n - 21. Calculate u(9). 33 Let h(m) = -5*m + 115. Give h(25). -10 Let f(n) = 28*n - 5. Determine f(-1). -33 Let z(m) = -2*m + 19. What is z(8)? 3 Let a(s) = -s**3 - 6*s**2 - 9. What is a(-6)? -9 Let r(x) = -2*x**3 + 9*x**2 - 5*x - 3. Give r(4). -7 Let w(k) = 4*k**2 + k - 8. What is w(3)? 31 Let l(f) = f**3 + 5*f**2 - 4*f + 14. Determine l(-6). 2 Let i(b) = 2*b**3 - 3*b**2 - 2*b - 1. Give i(-2). -25 Let i(q) = q**3 + 20*q**2 - 44*q - 8. Determine i(-22). -8 Let t(s) = s**3 + 3*s**2 - 13*s - 12. Calculate t(-5). 3 Let k(x) = -x**3 - x**2 + 1. What is k(2)? -11 Let v(g) = -2*g + 19. Give v(13). -7 Let t(q) = q + 2. Calculate t(5). 7 Let f(r) = 4*r + 8. What is f(0)? 8 Let r(k) = k**2 - 39*k - 264. Give r(-6). 6 Let r(t) = 2*t**3 + 29*t**2 - 14*t + 28. Give r(-15). 13 Let g(t) = -t**3 + 6*t**2 - 6*t + 1. What is g(5)? -4 Let p(d) = 22*d**3 - 3*d**2 + 3*d - 4. What is p(1)? 18 Let g(x) = -x**3 + 18*x + 3. Calculate g(-4). -5 Let p(f) = 3*f + 5. Calculate p(-5). -10 Let l(d) = d**3 + 14*d**2 - 55*d - 67. What is l(-17)? 1 Let m(d) = -2*d**3 + 14*d**2 + 11*d - 27. Determine m(8). -67 Let q(p) = p**2 + 15*p - 80. What is q(4)? -4 Let n(o) = -2*o**3 - 135*o**2 + 70*o + 142. What is n(-68)? 6 Let h(d) = 8*d + 105. What is h(-11)? 17 Let q(n) = 8*n - 62. Calculate q(8). 2 Let d(o) = -o**2 + 25*o + 24. Give d(27). -30 Let b(j) = -4*j + 3. What is b(4)? -13 Let q(j) = -2*j**3 + j**2 + j. Give q(0). 0 Let w(b) = -2*b**2 - 8*b - 17. What is w(-4)? -17 Let a(b) = -8*b**2 + 1. What is a(-1)? -7 Let y(p) = -4*p - 133. Calculate y(-31). -9 Let v(j) = j**2 - 37*j - 46. What is v(38)? -8 Let y(i) = i**2 - 8*i + 11. Calculate y(5). -4 Let g(b) = b**3 + 34*b**2 + 2*b + 67. What is g(-34)? -1 Let h(g) = -g**3 - 10*g**2 + g - 11. Calculate h(-10). -21 Let w(b) = b**2 - 3*b - 3. Give w(5). 7 Let m(l) = 7*l - 5. Determine m(5). 30 Let j(f) = f**3 - 16*f**2 + 16*f - 19. Determine j(15). -4 Let u(h) = -h**2 + 2*h - 22. Calculate u(9). -85 Let g(u) = -20*u + 1. Give g(-1). 21 Let t(c) = -c**3 + 14*c**2 + 16*c - 8. Give t(15). 7 Let j(n) = -n**3 - 10*n**2 - 10*n - 13. Give j(-9). -4 Let m(n) = -2*n**2 + 54*n + 40. Give m(28). -16 Let j(m) = -m + 1. Calculate j(4). -3 Let y(u) = -2*u**3 - 5*u**2 - 3*u + 3. Determine y(-3). 21 Let n(j) = 12*j - 138. Calculate n(11). -6 Let o(u) = -2*u**3 + 2*u**2 - 5. What is o(-3)? 67 Let u(j) = j**3 + 5*j**2 - 5. What is u(-5)? -5 Let o(d) = -3*d + 4. What is o(3)? -5 Let j(t) = 27*t**3 - 2*t**2 - 2*t. Calculate j(-1). -27 Let l(k) = 16*k - 39. What is l(3)? 9 Let h(z) = -z - 2. Determine h(-9). 7 Let d(b) = 2*b - 26. What is d(19)? 12 Let t(h) = -h**2 - 6*h - 5. Calculate t(-7). -12 Let q(z) = 13*z + 5. Give q(3). 44 Let s(i) = i**3 + 26*i**2 - 55*i + 17. What is s(-28)? -11 Let j(t) = -t + 4. What is j(6)? -2 Let b(x) = 8*x + 55. Give b(-7). -1 Let f(y) = 9*y + 6. Calculate f(-5). -39 Let h(q) = 11*q + 35. What is h(-12)? -97 Let a(l) = 4*l**3 + 4*l + 3. Calculate a(-1). -5 Let o(a) = -3*a**2 - 2*a + 6. Determine o(-2). -2 Let a(f) = -f**3 - 5*f**2 + 8. Determine a(-3). -10 Let h(l) = -l + 5. Determine h(-3). 8 Let k(g) = 4*g**2 - g - 2. What is k(2)? 12 Let y(s) = s**2 - 30*s - 28. What is y(31)? 3 Let m(z) = z**3 + z**2 - 3*z + 2. Give m(2). 8 Let l(k) = k**2 + 18*k + 37. Determine l(-16). 5 Let h(q) = -17*q. Determine h(-1). 17 Let m(k) = -6*k**3 - k**2 - k - 1. Calculate m(-1). 5 Let f(n) = -n**2 + 26*n + 7. Determine f(26). 7 Let k(p) = 13*p - 2. Give k(1). 11 Let w(q) = -q**3 + 14*q**2 - 4*q + 45. Calculate w(14). -11 Let r(n) = -4*n**2 + 21*n + 2. Calculate r(5). 7 Let t(q) = 2*q**3 - q**2 + q - 13. Give t(0). -13 Let k(h) = 18*h + 56. What is k(2)? 92 Let u(w) = 74*w + 593. Give u(-8). 1 Let o(v) = -102*v - 913. Calculate o(-9). 5 Let q(i) = i**2 + 1. Determine q(-2). 5 Let v(u) = u**2 + 7*u - 84. Determine v(-14). 14 Let b(t) = 2*t**2 - 3*t - 2. Calculate b(5). 33 Let j(d) = 7*d - 1. What is j(-1)? -8 Let z(t) = -16*t + 1. What is z(-1)? 17 Let z(t) = t**3 + 17*t**2 + 17*t + 23. Give z(-16). 7 Let x(d) = d**2 + 11*d - 65. Determine x(-15). -5 Let o(k) = 2*k + 1. Calculate o(4). 9 Let o(j) = j**3 - 15*j**2 - j + 20. Give o(15). 5 Let u(j) = 14*j**3 + 2*j - 1. Give u(1). 15 Let l(u) = -2*u**2 + 16*u + 50. What is l(10)? 10 Let m(k) = 2*k**2 + k - 10. Calculate m(0). -10 Let t(q) = -3*q**3 - 15*q**2 - 5*q - 5. Calculate t(-5). 20 Let u(x) = x**3 - 10*x**2 - 8*x - 14. Give u(11). 19 Let k(f) = f**2 - 15*f + 22. Calculate k(15). 22 Let d(n) = 8*n**2 + 3*n + 2. Calculate d(-1). 7 Let k(d) = d**2 + 10*d + 25. Determine k(-4). 1 Let h(t) = t**3 + 5*t**2 + 5*t + 1. Calculate h(-4). -3 Let h(s) = -s**2 + 6*s - 4. Give h(-5). -59 Let o(j) = -3*j + 56. Determine o(19). -1 Let u(o) = o**2 - 20*o + 27. Determine u(18). -9 Let p(c) = 3*c**3 - 41*c**
{ "pile_set_name": "DM Mathematics" }
Let f be ((-6)/4)/(9/(-12)). Suppose w + 5 = f*w. Suppose -3*o - 4*p + 8 = -0*p, 4*p - 8 = w*o. Solve o = 2*s - s for s. 0 Let m(s) = s**2 - 6*s + 7. Let z be m(5). Suppose -j = z - 4. Solve -d = j*d for d. 0 Suppose 13*p + 24 = 19*p. Solve -p*l + 9 = 1 for l. 2 Let x(v) = v**3 - 7*v**2. Let c be x(7). Suppose -i + 5*i = c. Solve i*r - 2*r = 0 for r. 0 Suppose 0 = 5*k - 4*l - 6, -3*k + 6 = 3*l - 3. Solve k*h = 6*h for h. 0 Let c(b) be the second derivative of 4*b + 0 + 1/12*b**4 - 2/3*b**3 - 2*b**2. Let g be c(5). Solve -g = f - 6 for f. 5 Let m(h) = 3*h**3 - h**2 + 3*h - 2. Let t(y) = y**3 - y**2 + y. Suppose -4*j + 2 = 6. Let w(i) = j*m(i) + 2*t(i). Let b be w(0). Solve 7*n + 15 = b*n for n. -3 Let y = 93 - 84. Solve 0 = -4*o + o + y for o. 3 Let s(m) be the third derivative of -m**4/24 + 3*m**3/2 - 3*m**2. Suppose 5*i = 2 - 12, -4*j - 4*i = -12. Let o be s(j). Solve o*g + 16 = 8*g for g. 4 Let b(f) be the third derivative of -f**6/240 - f**5/40 - f**4/8 - f**2. Let q(p) be the second derivative of b(p). Let l be q(-2). Solve 2*c = l*c for c. 0 Let x(c) = 2*c**2 - 14*c + 15. Let t be x(6). Solve -t - 3 = -2*v for v. 3 Suppose v + 0*v - 14 = 0. Suppose 2*a + 0*a - v = 0. Let i(k) = -k + 9. Let o be i(a). Solve 5 = -7*b + o*b for b. -1 Let k(l) = -28*l**2 - l - 1. Let i be k(-1). Let m be i/(-6) - 8/12. Let f be (-3)/15 + 1/5. Solve w - m*w = f for w. 0 Let y = 4 - 6. Let a be y/7 + 372/(-21). Let x be (-6)/27 + (-76)/a. Solve -u = x*u - 15 for u. 3 Let g(p) = 2*p + 14. Let d be g(-6). Let o be (1 - 2)*(-1 - d). Solve -4*n = -o*n - 1 for n. 1 Let r = 8 + -8. Suppose 0 = 3*f - 5*u - 7 - 9, -f + 4*u + 3 = r. Solve 2*a + f = -3 for a. -5 Let p = 16 + -16. Solve p = -4*t - 16 - 0 for t. -4 Suppose -2*b + 2 = -4. Suppose -4*h - 1 + 5 = 3*i, 0 = 5*i + 3*h - 3. Solve b*g - 6 = -i for g. 2 Let x = 1 - -2. Suppose 5 - x = n. Suppose -a + n*p = -0*a - 21, a + 14 = -5*p. Solve 0 = 4*d + a + 9 for d. -5 Let m(i) = 5*i**3 - i**2 + 2*i - 1. Let f be m(1). Solve -3*s + f = -8*s for s. -1 Let s = 19 + -13. Let z be (9/s + -1)*10. Suppose h - 3*h = 3*k - 11, 3*k = -z*h + 14. Solve 3 = k*f - 3 for f. 2 Let p = 28 + -26. Solve 25 = p*d + 3*d for d. 5 Let y be 1/(-2 + 15/8). Let u = 23 + y. Solve u = q + 4*q for q. 3 Let h(k) = -8*k - 4. Let d(g) = 3*g. Let c(m) = -7*m - 1. Let a(f) = 4*c(f) + 7*d(f). Let w(u) = 7*a(u) - 6*h(u). Let b be w(-5). Solve 4 = 5*v - b for v. 1 Suppose -5*y = -4*u + u + 14, 0 = 4*u - 12. Let p = y + 2. Let j be (-3)/(p*-3)*4. Solve -2 + j = -n for n. -2 Let c = -7 - -11. Solve 3*d + d = -c for d. -1 Suppose -3*s - 9 - 88 = -4*r, 4*r - 2*s = 94. Suppose 4 = -2*c - 4*l - 18, -5*c + l - r = 0. Let p be (-2)/((-1)/(c/(-2))). Solve -p*t - 15 = -5 for t. -2 Let x(o) = 2*o + 10. Let j be x(-5). Suppose j = -4*u + 4. Solve 3*k = 2*k + u for k. 1 Suppose -35*l + 5*i = -32*l, i = -2*l + 13. Let a be 4/((-4)/(-2*1)). Solve 7 = l*y + a for y. 1 Let z(b) be the third derivative of -1/120*b**6 + 0 + 1/15*b**5 - 3*b**2 + 0*b - 1/6*b**3 + 1/12*b**4. Let g be z(4). Solve 2*m - 20 = g*m for m. -4 Let t(i) = -i + 1. Let p be t(1). Solve p*u - 4*u + 12 = 0 for u. 3 Let g be (-2)/(-2) + 6 + (-51)/17. Solve f = 9 - g for f. 5 Suppose 5*q + 33 = 48. Solve -2*l = -1 - q for l. 2 Let t = 13 + -7. Let z = 10 - t. Solve f - z = 3*f for f. -2 Suppose 4*f = 3*n - 25 + 8, -n = f - 1. Solve r - n = 1 for r. 4 Let g(l) = -l - 7. Let x be g(-7). Suppose -5*i + 2*a + 20 = 0, 0 = 4*a - x*a - 20. Solve 0*q - 2*q + i = 0 for q. 3 Let i = -1 - -3. Suppose 7*j - 2*j = -2*g + 10, -4*g - 4 = -i*j. Solve -2*d - 3*d - 20 = g for d. -4 Let w be (3/12)/(4/32). Solve 0 = -q - w*q + 15 for q. 5 Let m(p) = p**2 + 9*p + 12. Let h be m(-8). Solve z + 15 = h*z for z. 5 Let k(u) = u**3 + 3*u**2 - 4*u + 4. Suppose 6*i - 2*i + 16 = 0. Let o be k(i). Solve 5*t - o - 1 = 0 for t. 1 Let i(o) = o**3 + 4*o**2 + o - 3. Suppose -5*f = -f + 12. Let x be i(f). Suppose z = 4*r - 13, -2*r - 15 = x*r + 5*z. Solve -4*v - 6 = -r for v. -1 Let w(n) = -n**2 + 8*n + 11. Let d be w(8). Let t be (4/(-2))/(1/(-2)). Solve t*b + d = -9 for b. -5 Suppose -3*i - 8 = -5*i. Suppose 10 = 3*m - f - 16, m + f = 10. Suppose k = m - 0. Solve 0 = -i*u + k*u for u. 0 Let h(d) = d**3 + 4*d**2 - 6*d. Let y be h(-5). Suppose -4*c - 4 = 0, y = -i - 3*c - 2*c. Suppose i = 4*r - 8*r + 40. Solve -l - l + r = 0 for l. 5 Let b = 0 - 0. Let t be ((-3)/(-2))/(18/24). Solve b = -t*j - 1 - 1 for j. -1 Suppose 3*k + 0*k = 6. Let p(m) = -2*m**2 - m + 3. Let v be p(-3). Let b be 2/(-4) - 18/v. Solve b + k = -3*s for s. -1 Let b = 29 + -23. Solve -m - 2 = -b for m. 4 Let l(k) be the third derivative of -k**6/120 + k**5/30 - k**4/24 + k**3/6 + 3*k**2. Let g be l(1). Let s be g - (-1 - -1 - 0). Solve -4*m = -s + 9 for m. -2 Let b(q) = -q**3 - 4*q**2 + 4*q + 7. Let g be b(-5). Let u = g + -5. Let t = 49 + -24. Solve -2*v = -u*v - t for v. -5 Let x(c) = -c**3 - 6*c**2 + 5*c - 9. Let p be x(-7). Solve p*n - n - 4 = 0 for n. 1 Let n be -1*2 - 0 - -7. Let r(q) = 8*q - 8*q**2 + 5 + q**3 + n - 2*q. Let y be r(7). Solve 5 = -2*l - y for l. -4 Suppose -r + 8 = r. Suppose 3*z - 9 = -x + 1, -r = 2*x - 2*z. Suppose 0 = -o, 3*l + x - 10 = -2*o. Solve -2*u - 5 - l = 0 for u. -4 Let r = 11 + -11. Suppose r = 4*y - 5 - 7. Solve 6 = x - y*x for x. -3 Let s be ((-20)/(-7))/((-4)/(-14)). Let z be (6 + -1)*4/s. Suppose 4*d = 5*b + d - 15, -z*b + 5 = -d. Solve v = -b*v + 1 for v. 1 Let i(a) = 7 + 5 - 3 + 6*a + a**2. Suppose 4*c + 17 + 15 = 0. Let s be i(c). Solve 6*f - f - s = 0 for f. 5 Let x(y) = 5*y - 3. Let t(g) = -2*g + 2. Let p(v) = -7*t(v) - 3*x(v). Let i be p(-7). Solve -i = -0*f + 2*f for f. -1 Let p be (-5)/25*3*-5. Solve 5*j = -18 + p for j. -3 Suppose -2*i = -9 - 21. Suppose j - i = -2*j. Solve a + 0*a = j for a. 5 Let h = -1 + 5. Suppose -s + h*s = 0. Solve 0 = -5*x - s*x for x. 0 Suppose -11*j = -15*j + 16. Solve -j = -b - 3*b for b. 1 Suppose -5*c - 4*p = -0*p + 6, -2*c + 2*p = -12. Solve 6*i - c*i = -16 for i. -4 Suppose -3*t = -0*t - 33. Solve 3 - t = -4*u for u. 2 Let o = 29 + -19. Solve 6*i - i + o = 0 for i. -2 Let j be (-57 + 59)*(3/2 - 0). Solve -9 = j*b - 24 for b. 5 Suppose 4*q + 2*q = 0. Solve v + 1 + 4 = q for v. -5 Suppose k + k - 6 = 0. Suppose k*s - 15 = -2*s. Solve s*i + 4 = -2 for i. -2 Let g(d) = -d + 4. Let z be g(4). Let r = -2 - z. Let v be r + 2 + 2 - 0. Solve -5 = -v*y + 3 for y. 4 Suppose -w + 3*g + 11 = -3*w, 5*g + 20 = -5*w. Let p be (1 - 0) + 1 + -1. Let r = w + p. Solve r = -0*i - 2*i + 10 for i. 5 Let q(i) = 3*i - 9. Let f be q(4). Solve u - 4*u + f = 0 for u. 1 Let y(d) = 2*d - 7. Let b be y(6). Suppose 0 = -5*r + 3*t - 5*t + 12, 5 = b*r - 5*t. Let q = 179 - 175. Solve 0*j + q = -r*j for j. -2 Suppose 5*h - 34 - 26 = 0. Solve -h + 16 = -4*g for g. -1 Let z(q) = 5*q**2 - 4*q. Let y be z(2). Solve 0 = -3*t + 7*t + y for t. -3 Let x(p) = -4*p - 4. Let m be x(-4). Let s(d) = d**2 - 12*d + 1. Let b be s(m). Solve 0*k - k = -b for k. 1 Suppose -4*u = -2*p + 4*p + 6, 0 = 3*p + 3*u. Solve 0 = 6*h - p*h + 15 for h. -5 Let o be 3/((-9)/(-24)*-2). Let k = 2 - o. Let j be (-1)/(-3) - (-16)/k. Solve 0 = j*y - 22 + 7 for y. 5 Let h = 27 - 27. Solve -u - u + 10 = h for u. 5 Let b(t) = 4*t + 1. Let w be b(1). Let f(v) = v - 4. Let a be f(4). Suppose w*g + 4 = 14, a = 2*i - 3*g + 4. Solve 2*n - i = -7 for n. -3 Suppose -8*n + 7*n - 2*n = 0. Suppose -2*c + 18 = -2*i, 5*c - i - 12 = 41. Let h be 2/3 - (-2)/6. Solve n = 5*x - h + c for x. -2 Suppose 3*u + 0*x + 6 = -2*x, 2*u + 2*x + 6 = 0. Suppose -2*d + 6 = 3*z, -2*d + u*d + 4*z + 6 = 0. Solve -d*p = 1 - 13 for p. 4 Let j = -16 + 9. Let v = -5 - j. Suppose v*r - 15 = -3*r. Solve -a + r*a = -4 for a. -2 Let d = -14 + 18. Solve 5*l - 11 = d for l. 3 Suppose 47 = 6*h + 5. Solve h*m + 3 = 4*m for m. -1 Let l be (-18)/10*(4 - 9). Suppose 0 = -2*v + 1 + l. Solve v*z = z for z. 0 Let l(x) = x**2 - x + 12. Let q be l(0). Suppose 3*k + 0 = -q. Let j = k - -4. Solve 3*r + j*r - 15 = 0 for r. 5 Let d(m) = 4*m**2 - 1. Let a be d(-1). Let z be (-3)/a - (1 + -5). Suppose -z*u + 4*y + y = -20, -3*y = 2*u - 26. Solve w = 3*w - u for w. 5 Let f(q) = -q + 9. Let w be f(4). Suppose -w*p - g + 2 = -5, -1 = 3*p - 2*g. Suppose -8 - p = -3*u + d, 5*u - 22 = 4*d. Solve 0*o = -2*o - u for o. -1 Suppose 24
{ "pile_set_name": "DM Mathematics" }
term of -281, -277, -271, -263, -253? v**2 + v - 283 What is the j'th term of -28, -117, -272, -499, -804, -1193, -1672? -j**3 - 27*j**2 - j + 1 What is the q'th term of -325, -649, -973, -1297? -324*q - 1 What is the h'th term of -8, -22, -36? -14*h + 6 What is the x'th term of 113, 129, 179, 281, 453? 3*x**3 - x**2 - 2*x + 113 What is the c'th term of 1, 7, 23, 55, 109, 191, 307? c**3 - c**2 + 2*c - 1 What is the u'th term of 40, 56, 58, 46, 20? -7*u**2 + 37*u + 10 What is the u'th term of -364, -360, -354, -346, -336, -324? u**2 + u - 366 What is the g'th term of -84, -90, -106, -138, -192, -274, -390? -g**3 + g**2 - 2*g - 82 What is the v'th term of -22, -43, -66, -91? -v**2 - 18*v - 3 What is the y'th term of -249, -511, -783, -1065, -1357, -1659? -5*y**2 - 247*y + 3 What is the j'th term of -131, -288, -445? -157*j + 26 What is the f'th term of -2712, -5435, -8158? -2723*f + 11 What is the i'th term of 21, 173, 579, 1365, 2657, 4581, 7263? 21*i**3 + i**2 + 2*i - 3 What is the v'th term of -146, -245, -334, -407, -458, -481, -470, -419? v**3 - v**2 - 103*v - 43 What is the r'th term of -3, -11, -15, -9, 13, 57? r**3 - 4*r**2 - 3*r + 3 What is the g'th term of -3789, -15148, -34079, -60582? -3786*g**2 - g - 2 What is the m'th term of 15, 59, 139, 261, 431, 655, 939? m**3 + 12*m**2 + m + 1 What is the r'th term of -93, -189, -285? -96*r + 3 What is the n'th term of -515, -527, -555, -605, -683, -795? -n**3 - 2*n**2 + n - 513 What is the b'th term of 1884, 1880, 1876? -4*b + 1888 What is the a'th term of 9043, 9034, 9023, 9010, 8995, 8978, 8959? -a**2 - 6*a + 9050 What is the s'th term of 2086, 2090, 2094, 2098, 2102? 4*s + 2082 What is the o'th term of 382, 764, 1146, 1528, 1910, 2292? 382*o What is the u'th term of -137, -293, -447, -599? u**2 - 159*u + 21 What is the v'th term of -195, -195, -193, -189, -183, -175? v**2 - 3*v - 193 What is the q'th term of 389, 1560, 3503, 6212, 9681, 13904? -q**3 + 392*q**2 + 2*q - 4 What is the q'th term of -37, -30, -19, -4, 15, 38, 65? 2*q**2 + q - 40 What is the o'th term of -26, -99, -172, -245? -73*o + 47 What is the y'th term of 501, 1999, 4503, 8019, 12553, 18111, 24699? y**3 + 497*y**2 + 3 What is the p'th term of 17, 49, 91, 149, 229, 337, 479, 661? p**3 - p**2 + 28*p - 11 What is the p'th term of -230, -455, -680, -905, -1130, -1355? -225*p - 5 What is the f'th term of -165, -332, -499, -666, -833, -1000? -167*f + 2 What is the z'th term of 80, 108, 136, 164? 28*z + 52 What is the x'th term of -16, -37, -68, -109, -160, -221, -292? -5*x**2 - 6*x - 5 What is the v'th term of -521, -531, -543, -557? -v**2 - 7*v - 513 What is the k'th term of 55, 110, 163, 214, 263? -k**2 + 58*k - 2 What is the y'th term of 471, 899, 1327, 1755, 2183? 428*y + 43 What is the s'th term of -3501, -3503, -3505? -2*s - 3499 What is the w'th term of -108, -215, -322, -429? -107*w - 1 What is the d'th term of 1056, 1056, 1050, 1032, 996, 936, 846? -d**3 + 3*d**2 - 2*d + 1056 What is the k'th term of 189, 273, 359, 447, 537? k**2 + 81*k + 107 What is the p'th term of 28, 71, 112, 151? -p**2 + 46*p - 17 What is the l'th term of 5, -11, -23, -31? 2*l**2 - 22*l + 25 What is the x'th term of -204, -600, -1258, -2172, -3336, -4744? x**3 - 137*x**2 + 8*x - 76 What is the b'th term of 387, 397, 405, 411, 415? -b**2 + 13*b + 375 What is the w'th term of 4179, 8366, 12553, 16740, 20927? 4187*w - 8 What is the i'th term of 13, 48, 141, 322, 621, 1068? 5*i**3 - i**2 + 3*i + 6 What is the a'th term of -1553, -1562, -1575, -1592, -1613, -1638? -2*a**2 - 3*a - 1548 What is the c'th term of -3, -17, -23, -21? 4*c**2 - 26*c + 19 What is the n'th term of -615, -2474, -5573, -9912, -15491, -22310? -620*n**2 + n + 4 What is the u'th term of -241, -960, -2159, -3838, -5997, -8636, -11755? -240*u**2 + u - 2 What is the a'th term of -2158, -2159, -2160, -2161? -a - 2157 What is the i'th term of 7130, 7131, 7132? i + 7129 What is the p'th term of -40, -138, -298, -520, -804, -1150, -1558? -31*p**2 - 5*p - 4 What is the a'th term of 0, -6, -26, -66, -132, -230, -366? -a**3 - a**2 + 4*a - 2 What is the w'th term of -2, -24, -46? -22*w + 20 What is the r'th term of 14, 15, 12, 5? -2*r**2 + 7*r + 9 What is the t'th term of -843, -866, -903, -960, -1043, -1158, -1311? -t**3 - t**2 - 13*t - 828 What is the m'th term of -6557, -6560, -6563? -3*m - 6554 What is the v'th term of -31, -26, -17, -4? 2*v**2 - v - 32 What is the p'th term of -48, -51, -44, -21, 24, 97, 204, 351? p**3 - p**2 - 7*p - 41 What is the s'th term of -14, -96, -232, -422, -666, -964, -1316? -27*s**2 - s + 14 What is the l'th term of -17, -192, -665, -1586, -3105, -5372? -25*l**3 + l**2 - 3*l + 10 What is the o'th term of 5, 6, 7, 8, 9, 10? o + 4 What is the p'th term of 0, -16, -46, -96, -172, -280, -426, -616? -p**3 - p**2 - 6*p + 8 What is the n'th term of 327, 712, 1099, 1488? n**2 + 382*n - 56 What is the y'th term of -699, -706, -713, -720, -727, -734? -7*y - 692 What is the l'th term of -101, -204, -307, -410, -513? -103*l + 2 What is the x'th term of 59, 78, 95, 104, 99, 74? -x**3 + 5*x**2 + 11*x + 44 What is the x'th term of -142, -284, -426? -142*x What is the b'th term of -2370, -2382, -2394, -2406? -12*b - 2358 What is the n'th term of -428, -419, -410, -401, -392? 9*n - 437 What is the z'th term of 118, 126, 136, 148, 162? z**2 + 5*z + 112 What is the i'th term of -8, 43, 136, 277, 472? i**3 + 15*i**2 - i - 23 What is the y'th term of 72, 138, 240, 372, 528, 702, 888? -y**3 + 24*y**2 + y + 48 What is the i'th term of 16945, 16946, 16947, 16948? i + 16944 What is the r'th term of -14, -24, -40, -62, -90, -124? -3*r**2 - r - 10 What is the h'th term of 36, 46, 54, 54, 40, 6? -h**3 + 5*h**2 + 2*h + 30 What is the i'th term of 43, 82, 117, 148, 175? -2*i**2 + 45*i What is the i'th term of -27, -51, -69, -81, -87, -87, -81? 3*i**2 - 33*i + 3 What is the l'th term of 2559, 2560, 2561, 2562, 2563, 2564? l + 2558 What is the i'th term of -44, -105, -200, -341, -540, -809, -1160? -2*i**3 - 5*i**2 - 32*i - 5 What is the c'th term of 2784, 2787, 2792, 2799, 2808, 2819, 2832? c**2 + 2783 What is the a'th term of -197, -388, -579, -770, -961? -191*a - 6 What is the x'th term of -62, -113, -164, -215, -266, -317? -51*x - 11 What is the p'th term of -42, -90, -162, -252, -354, -462, -570, -672? p**3 - 18*p**2 - p - 24 What is the z'th term of 1670, 1674, 1678, 1682, 1686? 4*z + 1666 What is the m'th term of -20, -72, -158, -278? -17*m**2 - m - 2 What is the i'th term of -395, -394, -393, -392, -391? i - 396 What is the r'th term of 6, 19, 32? 13*r - 7 What is the f'th term of 1227, 2452, 3677, 4902, 6127, 7352? 1225*f + 2 What is the i'th term of -531, -1069, -1607, -2145? -538*i + 7 What is the g'th term of -37, -64, -99, -142, -193, -252? -4*g**2 - 15*g - 18 What is the s'th term of 41, 76, 105, 122, 121, 96, 41? -s**3 + 3*s**2 + 33*s + 6 What is the u'th term of -13, 10, 53, 116? 10*u**2 - 7*u - 16 What is the j'th term of -6, -27, -62, -111, -174, -251, -342? -7*j**2 + 1 What is the h'th term of -2, 6, 14, 22, 30, 38? 8*h - 10 What is the n'th term of 44, 9, -58, -163, -312, -511, -766? -n**3 - 10*n**2 + 2*n + 53 What is the q'th term of -3, -26, -47, -66, -83? q**2 - 26*q + 22 What is the d'th term of -50, -51, -62, -89, -138, -215? -d**3 + d**2 + 3*d - 53 What is the m'th term of -3961, -3964, -3977, -4006, -4057? -m**3 + m**2 + m - 3962 What is the l'th term of 2, 4, -4, -28, -74? -l**3 + l**2 + 6*l - 4 What is the k'th term of -899, -904, -911, -920, -931, -944, -959? -k**2 - 2*k - 896 What is the l'th term of 269, 270, 271, 272? l + 268 What is the i'th term of 10, -7, -34, -71? -5*i**2 - 2*i + 17 What is the u'th term of 4251, 4255, 4261, 4269, 4279? u**2 + u + 4249 What is the h'th term of 67, 128, 183, 226, 251, 252, 223, 158? -h**3 + 3*h**2 + 59*h + 6 What is the z'th term of 1622, 3250, 4878, 6506? 1628*z - 6 What is the x'th term of 45, 101, 169, 249, 341, 445, 561? 6*x**2 + 38*x + 1 What is the b'th term of -28, -18, -2, 20, 48? 3*b**2 + b - 32 What is the g'th term of -9, -62, -221, -546, -1097, -1934, -3117, -4706? -10*g**3 + 7*g**2 - 4*g - 2 What is the s'th term of -124, -198, -222, -190, -96? s**3 + 19*s**2 - 138*s - 6 What is the m'th term of -58, -56, -54
{ "pile_set_name": "DM Mathematics" }
**4 + 0 = 0. Calculate l. -1, 0, 8 Let f be ((-2)/4)/((19 - -2)/(-105)). Let b(m) be the second derivative of -1/6*m**6 - m**5 - 10/3*m**3 + 0 - 14*m - 5/2*m**4 - f*m**2. Solve b(d) = 0 for d. -1 Let b = 427/6768 + -1/1692. Let m(f) be the third derivative of 0*f - 13*f**2 + 1/120*f**5 + 0 + 0*f**3 - b*f**4. Find c, given that m(c) = 0. 0, 3 Let g(b) be the first derivative of -73 - 4*b**4 - 16*b - 22*b**2 + 76/3*b**3. Find q such that g(q) = 0. -1/4, 1, 4 Let q(d) be the first derivative of 2*d**5/55 + 49*d**4/22 - 1329. Let q(k) = 0. What is k? -49, 0 Let t(m) be the third derivative of -7/12*m**3 - 1/80*m**5 + 0 - 37*m**2 + 0*m + 23/96*m**4. Factor t(q). -(q - 7)*(3*q - 2)/4 Suppose 8*k + 6 + 18 = 0. Let g be k*1 + (0 + -27)*-3. Find a such that -g*a**5 - 79*a**5 - 12*a**2 - 20*a**4 - 28*a**3 + 153*a**5 = 0. -3, -1, 0 Let o(v) = 3*v**3 - 2*v**2 + 3*v. Let i(w) = w**3. Let a = 78 - 75. Suppose 5 = -2*l - a. Let q(d) = l*i(d) + o(d). Let q(z) = 0. Calculate z. -3, 0, 1 Let v(p) be the second derivative of p**7/168 - 5*p**6/36 + p**5/2 + 15*p**4 - 31*p**3/3 - 20*p. Let c(w) be the second derivative of v(w). Factor c(i). 5*(i - 6)**2*(i + 2) Find f, given that 0*f + 0*f**2 + 0 - 2/3*f**4 + 52*f**3 = 0. 0, 78 Let o(d) be the first derivative of d**7/1260 - d**6/135 + d**5/36 - d**4/18 - 170*d**3/3 + 260. Let c(f) be the third derivative of o(f). Factor c(m). 2*(m - 2)*(m - 1)**2/3 Let s(q) = 2*q**3 + 14*q**2 - 368*q - 2248. Let w be s(-6). Factor -192 - 4/3*z**2 - w*z. -4*(z + 12)**2/3 Let s(h) = h**3 - 11*h**2 - 74*h + 298. Let j be s(3). Factor -3/5*f**2 - 1/5*f**j - f**3 + 4/5 + f. -(f - 1)*(f + 1)**2*(f + 4)/5 Let l be 888/5032*(-340)/(-45). Factor 2/3*u**5 + 8/3*u**4 - l - 10/3*u - 4/3*u**2 + 8/3*u**3. 2*(u - 1)*(u + 1)**3*(u + 2)/3 Let x = 31333059/155 + -202148. Let f = x - -1/31. Factor -2/5*h**3 + 2/5*h + f*h**2 - 4/5. -2*(h - 2)*(h - 1)*(h + 1)/5 Let y(a) be the second derivative of a**6/120 + a**5/8 - 13*a**4/48 - 11*a**3/12 + a + 375. Solve y(b) = 0 for b. -11, -1, 0, 2 Let m(g) be the first derivative of g**4/42 + 4*g**3/21 - 42*g + 57. Let r(b) be the first derivative of m(b). Determine d so that r(d) = 0. -4, 0 Let d = -23 + 19. Let p be 2/d*2*(-2 + -861). Factor -4*t + t**3 + 3*t + t**2 - p + 862. (t - 1)*(t + 1)**2 Let k(b) = -2*b + 24. Let f be k(11). Factor -84*q**f + 35*q - 12 - 111*q**2 + 49*q + 48*q**2. -3*(7*q - 2)**2 Suppose -21*z + 931 = 889. Let i = 1/33 - -3/22. Determine w, given that -1/2*w**4 - 1/3*w**3 + 0*w**z + 0 + 0*w - i*w**5 = 0. -2, -1, 0 Factor 70*s**4 - 150 + 3427*s**5 - 200*s**2 - 7*s**3 + 365*s - 83*s**3 - 3422*s**5. 5*(s - 1)**3*(s + 2)*(s + 15) Let o(c) = 17*c**2 + c - 34. Let b(y) = 7*y - 95. Let r be b(14). Let w(g) = 14*g**2 + 2*g - 33. Let s(x) = r*o(x) - 4*w(x). Factor s(d). -5*(d - 2)*(d + 3) Factor -256/7 + 80/21*o + 2/21*o**2. 2*(o - 8)*(o + 48)/21 Let q(r) be the second derivative of -r**4/36 + 6*r**3 + 114*r**2 + 819*r - 1. Suppose q(j) = 0. What is j? -6, 114 Let k = 471328/7 + -471326/7. Factor -18/7*a + 20/7 - k*a**2. -2*(a - 1)*(a + 10)/7 Let x be 0/5*198/1980. Let t be (-1)/3 + (-280)/(-264). Factor x - t*c**2 - 8/11*c - 2/11*c**3. -2*c*(c + 2)**2/11 Let r(c) be the second derivative of c**5/240 - 29*c**4/48 + 95*c**3/12 - 100*c**2/3 - 9075*c. Factor r(f). (f - 80)*(f - 5)*(f - 2)/12 Let k(r) be the second derivative of -r**6/720 + r**5/360 - 39*r**2 - 3*r + 1. Let n(j) be the first derivative of k(j). Factor n(v). -v**2*(v - 1)/6 Let y(s) be the second derivative of -2*s**6/15 - 2*s**5/5 + 241*s**4/3 - 476*s**3/3 + 19*s + 1. Let y(l) = 0. Calculate l. -17, 0, 1, 14 Let m(h) = h**4 + h**3 - 4*h - 2. Let f(y) = 24*y**4 + 218*y**3 - 5312*y**2 + 33688*y - 62004. Let g(w) = f(w) - 26*m(w). Factor g(v). -2*(v - 44)**2*(v - 4)**2 Let y = 424056/742049 + -4/106007. Factor -y*x**2 - 2/7*x**3 + 2/7*x + 1/7*x**4 + 3/7. (x - 3)*(x - 1)*(x + 1)**2/7 Let z(q) be the first derivative of 2*q**3/9 + 41*q**2/3 - 172*q/3 - 176. Factor z(i). 2*(i - 2)*(i + 43)/3 Let z(s) = -57*s + 3936. Let v be z(69). Let c be (-4)/20 + 2/10. Determine t, given that 0*t**2 + c*t + 0 - 5/4*t**4 + 5/4*t**v = 0. 0, 1 Let w(y) be the third derivative of 5/24*y**4 + y**2 - 5/2*y**3 - 1/24*y**6 + 14 + 1/4*y**5 + 0*y. Factor w(m). -5*(m - 3)*(m - 1)*(m + 1) Suppose 0 = 92*f - 68*f. Let y(o) be the third derivative of 0*o**4 - 1/100*o**5 + 15*o**2 + f*o + 1/10*o**3 + 0. Find j such that y(j) = 0. -1, 1 Factor 1224/5*g - 21/5*g**2 - 348/5. -3*(g - 58)*(7*g - 2)/5 Determine i, given that 46/3*i**2 + 0 + 16*i - 2/3*i**3 = 0. -1, 0, 24 Let p(w) = w**2 - 10*w - 8. Let i be p(5). Let t = i + 38. Suppose -26*k**5 + 15*k**4 + 21*k**t + 15*k**3 - 10*k**2 - 15*k**4 = 0. What is k? -2, 0, 1 Let l(z) be the third derivative of z**7/21420 + z**6/340 - 19*z**5/1020 + 163*z**4/24 - 9*z**2 - 2. Let b(x) be the second derivative of l(x). Factor b(m). 2*(m - 1)*(m + 19)/17 Let l(f) = -53*f**2 - 67*f + 378. Let p(j) = -150*j**2 - 200*j + 1134. Let z(s) = -17*l(s) + 6*p(s). Let z(u) = 0. What is u? 7, 54 Let b(h) = -11*h**2 + 99*h + 2. Suppose -7*i = -2*i - 3*z - 60, 5*i = 4*z + 65. Let m be b(i). Factor 0 + 2*a**m - 8*a**3 + 14/3*a**4 + 4/3*a. 2*a*(a - 1)**2*(7*a + 2)/3 Let r = 817 - 816. Let s(i) = -i**2 + 82*i - 214. Let d(y) = y**2 + 3*y - 1. Let b(a) = r*s(a) + 6*d(a). Find p, given that b(p) = 0. -22, 2 Suppose 48/5*j**3 - 288/5 - 4/5*j**4 - 212/5*j**2 + 408/5*j = 0. What is j? 2, 3, 4 Let m(z) be the third derivative of z**6/24 + 73*z**5/12 - 255*z**4/8 - 375*z**3/2 - 6*z**2 + 32*z - 2. Determine u, given that m(u) = 0. -75, -1, 3 Suppose -1730 = -37*q - 620. Let y(h) be the first derivative of -16/7*h - 16/7*h**2 - 20/21*h**3 - 1/7*h**4 + q. Factor y(i). -4*(i + 1)*(i + 2)**2/7 Let t(p) be the third derivative of p**6/120 - 13*p**5/60 - 51*p**4/8 - 105*p**3/2 + 7380*p**2. Factor t(q). (q - 21)*(q + 3)*(q + 5) Let s(t) be the first derivative of t**3/12 + 15*t**2/8 - 4*t - 655. Let s(x) = 0. What is x? -16, 1 Let p be (-3)/(((-130)/(-13))/(-10)). Let y(t) be the second derivative of -1/6*t**4 - 29*t + 0 - 1/3*t**p + 2*t**2. Factor y(f). -2*(f - 1)*(f + 2) Let l(h) be the first derivative of -h**6/3 - 8*h**5/5 - h**4 + 8*h**3/3 + 3*h**2 + 8. Determine z so that l(z) = 0. -3, -1, 0, 1 Suppose 24*x + 168 - 152*x + 178*x**2 - 91*x**2 - 85*x**2 - 42*x = 0. What is x? 1, 84 Let o be -6*((-4)/16 - -1)*-6. Factor 8*c**2 + 295*c**3 + 9*c**2 + 45*c - 292*c**3 + o + 4*c**2. 3*(c + 1)*(c + 3)**2 Let s(w) be the third derivative of -w**7/630 + w**6/90 + 7*w**5/180 - 17*w**4/36 + 4*w**3/3 - 25*w**2 - 19. Suppose s(x) = 0. Calculate x. -3, 1, 2, 4 Let f(u) be the first derivative of 25*u**4/24 - 2545*u**3/9 + 21505*u**2 + 17340*u - 7825. Factor f(h). 5*(h - 102)**2*(5*h + 2)/6 Let j(y) be the third derivative of -2*y**7/105 + 56*y**6/15 - 3454*y**5/15 + 2968*y**4 - 16854*y**3 - 1747*y**2. Suppose j(t) = 0. What is t? 3, 53 Let s be (-9)/(-21) + 9/((-315)/50). Let g(x) = x**3 - x**2 - 1. Let r(b) = -25*b**4 + 145*b**3 - 170*b**2 + 10*b + 35. Let u(m) = s*r(m) + 5*g(m). Factor u(o). 5*(o - 4)*(o - 1)**2*(5*o + 2) Let y(d) be the third derivative of -d**6/240 + d**5/5 + 283*d**4/48 + 77*d**3/2 + 9532*d**2. Find f such that y(f) = 0. -7, -2, 33 Let q = -189971 - -189974. Determine t so that 0 + 0*t + 1/2*t**4 + q*t**2 + 5/2*t**3 = 0. -3, -2, 0 Suppose 2/5*h**2 + 821*h - 2053/5 = 0. Calculate h. -2053, 1/2 Let n = 56 + -43. Suppose -14*c = -n*c - 9. Suppose 3*d**2 + 12*d**2 + c + 15*d + 3*d**2 - 3*d**3 - 15*d**2 = 0. What is d? -1, 3 What is k in 15/2*k**2 + 5 - 45/4*k - 5/4*k**3 = 0? 1, 4 Let r = -1826 - -3330. Solve 1564*a**5 + 2*a**3 - 5*a**3 + 3*a**4 - r*a**5 = 0 for a. -1/4, 0, 1/5 Let 5*p**5 + 3545*p**3 - 12099 - 15860*p**2 + 27161 - 17835*p + 1805*p**3 + 23057 + 37571 - 310*p**4 = 0. Calculate p. -2, 3, 29 Let a = -202499/6 + 33750. Factor -a*g**4 + g**2 + 0 - 1/6*g**3 + 0*g. -g**2*(g - 2)*(g + 3)/6 Let q(y) be the third derivative of -99*y**8/56 - 1186*y**7/105 - 887*y**6/30 - 196*y**5/5 - 289*y**4/12 + 2*y**3/3 + 1115*y**2. Find b such that q(b) = 0. -1, 2/297 Let w(l) be the second derivative of -l**6/20 - 27*l**5/20 - 17*l**4/8 + 413*l. Factor w(z). -3*z**2*(z + 1)*(z + 17)/2 Solve -24*j**2 + 8*j + 52*j**2 - 118 - 194 + j + 11*j = 0. -26/7, 3 Let
{ "pile_set_name": "DM Mathematics" }
igit of f? 1 Let n(f) = -f**3 - 13*f**2 + 37*f + 41. Let i be n(-17). Let y = 1047 - i. What is the tens digit of y? 7 Suppose 3*m + 36*m = 108303. What is the thousands digit of m? 2 Let d = -7570 + 13631. What is the units digit of d? 1 Let a = 35950 + 5739. What is the thousands digit of a? 1 Let h(x) = 13*x - 30*x + 19*x + 30 - 11. What is the tens digit of h(32)? 8 Suppose z + 5 = 0, -40 = -5*d - 4*z - z. Suppose 0 = -4*r - 3*j + 1010, -11*r + d*r - 3*j = 514. What is the units digit of r? 4 Let j = 8 + -4. Suppose -5*h + 15 = 3*k - 23, j*h = -5*k + 20. Suppose 13*b - 738 = h*b. What is the units digit of b? 6 Suppose 5*f = 20, -j + 5*f - 16 - 1 = 0. Suppose -t + 3*c - 4*c = -153, 5*t - 759 = -j*c. What is the hundreds digit of t? 1 Suppose 1402*x - 1407*x = -151585. What is the ten thousands digit of x? 3 Let n be (-9)/(-15)*-14*-15. Let x = n + -54. Suppose -10*y + 842 = x. What is the tens digit of y? 7 Let j be 1822/10 + 12/15. Let z = 148 + j. What is the hundreds digit of z? 3 Let c = -2 + 6. Suppose 12*a - c*a = 584. Suppose 6*t = a - 7. What is the tens digit of t? 1 Let w(p) = -p**2 + 37*p - 210. Let n be w(7). Suppose -3*m - 1579 + 5560 = n. What is the thousands digit of m? 1 Suppose 2*c - 3*k + 158 - 1254 = 0, -3*k = -4*c + 2204. Suppose -35*o + 37*o - c = 0. What is the tens digit of o? 7 Let j(s) = 136*s**2 - 81*s + 431. What is the tens digit of j(8)? 8 Suppose -h + 415 = -5*y, 2*y = -5*h - 3*y + 1925. Suppose -20*v = -21*v + h. Suppose -1134 - v = -12*r. What is the hundreds digit of r? 1 Suppose -38331 = -5*s + 2*n, 2*n + 7663 = 6*s - 5*s. What is the hundreds digit of s? 6 Let c(d) = 7*d + 107. Let g be c(9). Let x = g + 640. What is the units digit of x? 0 Let p(k) = -6*k + 21. Let l be p(-4). What is the tens digit of 1135 - (49/(-63) - 10/l)? 3 What is the thousands digit of (4 - 136/24)/(2/(-1884))? 1 Let t(b) = b**3 + 8*b**2 - 9*b - 5. Let m(n) = -2*n**2 + n**3 + 6*n**2 - 12*n + 14*n. Let z be m(-4). What is the units digit of t(z)? 7 Suppose -2*n + 7*n = 620. Let k = -13 + -1. What is the hundreds digit of -3 + -1 + n + k? 1 Let f = 240 + 59. Let t = f - 146. Let g = t + -77. What is the units digit of g? 6 Let c(a) = -a**3 + 15*a**2 - 3*a - 24. Let x be c(7). Suppose 8*k - 3605 = x. What is the units digit of k? 4 Let v(l) be the first derivative of 2*l**3/3 + 6*l**2 - 11*l + 4. Let m be v(13). Suppose -765 - m = -12*o. What is the tens digit of o? 0 Suppose -2*l = 2*b + 2*l - 1562, 2*b = 2*l + 1568. Suppose 0 = 3*h + r - 2*r - b, 0 = 5*h - 3*r - 1301. What is the units digit of h? 2 Let p = -209 + 206. Let a(h) = 22*h**2 + 5*h + 24. What is the hundreds digit of a(p)? 2 Let m = -1235 - -1222. Let t(i) = -14*i + 52. Let n(c) = -c. Let b(p) = -4*n(p) + t(p). What is the hundreds digit of b(m)? 1 Suppose -36*q = -34*q + 2*t - 22228, 11120 = q - 2*t. What is the thousands digit of q? 1 Let j(l) = l**3 - l**2 - 2*l. Let s be j(0). Suppose 4*z - 5*b + b - 1904 = s, -5*z + 2*b + 2377 = 0. What is the units digit of z? 5 Let n be (-1)/((-440)/624 + 4/6). Let k = n + -10. Suppose k*o + 232 = 20*o. What is the units digit of o? 8 Let v(t) = 1956*t + 7494. What is the thousands digit of v(35)? 5 Suppose -c = 4*c + 2*v - 115, c + 2*v = 31. Suppose -c*w = w - 14476. What is the units digit of w? 8 Let h(q) = 2525*q - 4153. What is the tens digit of h(18)? 9 Suppose 0 = -12*a - 2*a + 387128. Suppose 21*w - a + 3061 = 0. What is the tens digit of w? 7 Let c be -2*10/(-4) - 1875/(-3). Suppose 5*t - c = 2*t - 2*m, 0 = -4*m. What is the hundreds digit of t? 2 Suppose 2*l + 4*i - 17911 - 18697 = 0, 0 = -2*l + 5*i + 36635. What is the tens digit of l? 1 Let r(o) = o**3 - 11*o**2 - 10*o - 17. Let s be r(12). Suppose 2*x = g + 2*g + s, 0 = -g + 3. Let j = x + 26. What is the units digit of j? 4 Let w(z) = -z**3 - 34*z**2 - 41*z - 1502. What is the tens digit of w(-47)? 4 Let y = 2261 + -901. Suppose k - y = -2*t, t - k = -0*k + 680. What is the tens digit of t? 8 What is the ten thousands digit of (-22)/(1386/(-4110093)) - (-3)/7? 6 Let q be (-1)/(-10) + 12159158/220. What is the hundreds digit of q/33 - -2 - (-82)/451? 6 Let l = 38301 + -14021. What is the tens digit of l? 8 Let s(l) = -55 - 48 + 84 - l + 7*l**2. What is the hundreds digit of s(8)? 4 Let w(f) = -f - 14. Let n be w(-12). Let s be 548 + 4 + (0 - n). Let o = s + -324. What is the tens digit of o? 3 Suppose 19*c - 18*c - 3 = 0. Let b be (-3)/(-9)*c*(-2 - -7). Suppose -4*o + 332 = b*n, -5*o + 222 = -2*o - 3*n. What is the units digit of o? 8 Let b = -17132 + 17487. What is the hundreds digit of b? 3 Let t(c) = -c**3 + 5*c**2 - 11*c + 14. Let b be t(6). Let d = b + 58. What is the tens digit of d/(-165) - (-1065)/11? 9 What is the hundreds digit of (1 + -2)/((-127)/9652*2/57)? 1 Let s(z) = 5890*z + 2636. What is the units digit of s(4)? 6 Let r = 39 - 29. Suppose 6*v + r = 142. Suppose -2*t + 45 = 4*n + 1, -2*n - v = -t. What is the tens digit of t? 2 Let f(k) = 312*k - 4160. What is the units digit of f(28)? 6 Let h be (-1)/5 + (-22)/(-10). Let r be (-2)/h*294/(6 + -12). Suppose -39 = -2*j + r. What is the units digit of j? 4 Suppose 4*y - 64665 = -11*v + 14*v, -5*v + 64641 = 4*y. What is the hundreds digit of y? 1 Let g = 3445 + 51110. What is the tens digit of g? 5 Suppose -668*z + 667*z + 1273 = 0. Let q = -10 + z. What is the units digit of q? 3 Suppose 1391 = c - 2*w, -25*c + 27*c - 2*w = 2794. What is the thousands digit of c? 1 Suppose 0 = 15*k - 19*k + 16. Suppose 2*d + k*l - 576 = 0, 3*d + 4*l + 300 = 4*d. What is the tens digit of d? 9 Suppose 16*g = -g + 13192. Let l = g - -200. What is the tens digit of l? 7 Let t(v) = 39*v**2 - 40*v - 119. What is the tens digit of t(26)? 0 Suppose 6130 = -0*b + 5*b + 4*s, -3700 = -3*b + 2*s. Suppose -4*v + b = g - 1829, -4*v - 4*g + 3056 = 0. What is the tens digit of v? 6 Let t(j) = 35*j - 146. Suppose v + 4*f - 2 = 32, -f - 9 = -v. What is the units digit of t(v)? 4 Let p = 475 - 421. Suppose -p*s = -42*s - 852. What is the tens digit of s? 7 Suppose 5*u - 5 = 4*u. Suppose -u*s = -239 - 151. Suppose i + 3*i = -3*p + 111, -3*p = -3*i + s. What is the units digit of i? 7 Let h be 2*-1*10/20. Let s(a) = 317*a. Let m be s(h). Let l = m - -444. What is the hundreds digit of l? 1 Let m(f) = 208*f**2 - 29*f + 125. What is the thousands digit of m(8)? 3 Suppose 13*u - 34992 = -3*o + 16*u, 2*o - 5*u = 23313. What is the hundreds digit of o? 6 Let h = 296 - 170. Let a = 223 + h. What is the tens digit of a? 4 Let d = 131 + -113. Let w(u) = 22*u - 37. Let c be w(d). Suppose s = 3*n + 2*s - 513, -5*s = -2*n + c. What is the hundreds digit of n? 1 Suppose 16*z = 10*z + 18*z - 251532. What is the units digit of z? 1 Let w = -20 - -19. What is the tens digit of (1 - w)*(159 + -22)? 7 Suppose -70 = -27*n + 13*n. Suppose 1983 = 3*c - n*v, -2*v + 647 = c + v. What is the units digit of c? 6 Let v be ((-75)/(-10))/5 - (-197)/2. Suppose 5*o - v = -4*q, -o + 2*q + 20 = -2*q. Suppose o - 284 = -4*i. What is the tens digit of i? 6 Suppose 3*m = -3*g - 9, -1 = g + 3. What is the hundreds digit of ((6370/m)/7)/2? 4 Let r(n) = 3*n**2 - 93*n - 18. Let y be r(31). What is the tens digit of y + 20 + 178/(3 + -1)? 9 Let y(f) be the third derivative of -3*f**4/8 + 21*f**3/2 - 36*f**2. Let m(r) = -5*r + 32. Let l(s) = -7*m(s) + 4*y(s). What is the units digit of l(19)? 9 Let p(g) = 50*g**2 + 2*g. Let z be p(3). Suppose 4*b - z = 2*y, 2*y = -b - y + 100. Suppose 0*n = 2*n - b. What is the units digit of n? 6 Let w = -4 + 63. Suppose 3*c - 2*s + 74 = 404, -5*c + 4*s + 546 = 0. Let p = c - w. What is the tens digit of p? 5 Let v be (-58)/(-20) + 2 + (-5)/(-50). Suppose 3*l - 2*d = 1155, v*l = 3*d + 837 + 1087. What is the hundreds digit of l? 3 Let c = 457 + -455. Suppose -87 + 33 = -c*s. What is the units digit of s? 7 Let w = 17684 - 9124. What is the tens digit of w? 6 Let g(x) = 0*x + 8*x - 4*x - 3*x**2 - 1 + 9*x. Let t be g(4). Suppose -t*q + 40 = -50. What is the units digit of q? 0 Let f = 4 + 0. Suppose -f = q - 4*n, 2*q + 2 = 5*n - 3. Suppose 2*j = -3*v + 128, 0 = -5*j - q*v + v + 354. What is the units digit of j? 0 Let b(x) = -9972*x**3 - x**2 - 5*x - 2. What is the units digit of b(-1)? 4 Let o(t) = t**3 - 8*t**2 + 12*t. Let h be o(5). Let
{ "pile_set_name": "DM Mathematics" }
7 What is the ten thousands digit of 2472515? 7 What is the tens digit of 11696574? 7 What is the millions digit of 3079581? 3 What is the millions digit of 5102956? 5 What is the ten thousands digit of 16626791? 2 What is the thousands digit of 1548915? 8 What is the hundreds digit of 295371? 3 What is the hundreds digit of 3154138? 1 What is the units digit of 279495? 5 What is the millions digit of 1795220? 1 What is the units digit of 25102? 2 What is the tens digit of 2849643? 4 What is the tens digit of 10162362? 6 What is the hundreds digit of 4076156? 1 What is the millions digit of 1447744? 1 What is the thousands digit of 1336080? 6 What is the ten thousands digit of 253616? 5 What is the thousands digit of 7369030? 9 What is the tens digit of 5168? 6 What is the hundreds digit of 5319934? 9 What is the ten thousands digit of 353503? 5 What is the tens digit of 2159111? 1 What is the ten millions digit of 29118029? 2 What is the units digit of 90390? 0 What is the tens digit of 53612? 1 What is the tens digit of 3913158? 5 What is the ten thousands digit of 700244? 0 What is the thousands digit of 311002? 1 What is the ten thousands digit of 199828? 9 What is the ten thousands digit of 1917071? 1 What is the thousands digit of 9252348? 2 What is the units digit of 374638? 8 What is the tens digit of 6005358? 5 What is the hundreds digit of 264324? 3 What is the thousands digit of 159989? 9 What is the thousands digit of 9886? 9 What is the units digit of 179535? 5 What is the millions digit of 31774156? 1 What is the tens digit of 458052? 5 What is the thousands digit of 586841? 6 What is the hundreds digit of 341459? 4 What is the millions digit of 1081645? 1 What is the tens digit of 639511? 1 What is the units digit of 277376? 6 What is the thousands digit of 2468568? 8 What is the units digit of 15592880? 0 What is the hundreds digit of 21571684? 6 What is the hundreds digit of 2048819? 8 What is the hundreds digit of 718021? 0 What is the thousands digit of 1632972? 2 What is the tens digit of 12758784? 8 What is the thousands digit of 18541634? 1 What is the ten thousands digit of 3554109? 5 What is the millions digit of 21568976? 1 What is the units digit of 10880? 0 What is the hundreds digit of 338859? 8 What is the tens digit of 3360870? 7 What is the thousands digit of 300495? 0 What is the hundred thousands digit of 7512512? 5 What is the thousands digit of 30719777? 9 What is the tens digit of 348653? 5 What is the thousands digit of 3604267? 4 What is the hundred thousands digit of 424441? 4 What is the units digit of 3842486? 6 What is the hundreds digit of 46129? 1 What is the units digit of 509645? 5 What is the millions digit of 1171470? 1 What is the thousands digit of 211878? 1 What is the tens digit of 6888684? 8 What is the hundred thousands digit of 209282? 2 What is the tens digit of 238795? 9 What is the units digit of 6620133? 3 What is the units digit of 99512? 2 What is the units digit of 566485? 5 What is the hundreds digit of 9050040? 0 What is the units digit of 24675874? 4 What is the thousands digit of 3616734? 6 What is the hundred thousands digit of 359461? 3 What is the hundred thousands digit of 2395838? 3 What is the hundreds digit of 21031839? 8 What is the hundreds digit of 2826? 8 What is the hundreds digit of 3758705? 7 What is the thousands digit of 750253? 0 What is the ten thousands digit of 962088? 6 What is the units digit of 676905? 5 What is the hundred thousands digit of 494007? 4 What is the units digit of 1341396? 6 What is the hundred thousands digit of 278240? 2 What is the hundreds digit of 211006? 0 What is the units digit of 2406876? 6 What is the ten thousands digit of 1532599? 3 What is the units digit of 2032125? 5 What is the hundreds digit of 5052684? 6 What is the thousands digit of 207422? 7 What is the hundreds digit of 6642? 6 What is the hundreds digit of 1630470? 4 What is the thousands digit of 1210071? 0 What is the ten millions digit of 20599800? 2 What is the hundreds digit of 178911? 9 What is the hundreds digit of 10535370? 3 What is the units digit of 1418805? 5 What is the hundred thousands digit of 2871032? 8 What is the ten thousands digit of 21578939? 7 What is the ten thousands digit of 782161? 8 What is the hundreds digit of 24642131? 1 What is the units digit of 22851002? 2 What is the tens digit of 645936? 3 What is the hundreds digit of 2473896? 8 What is the ten thousands digit of 470021? 7 What is the hundreds digit of 7610927? 9 What is the hundred thousands digit of 253197? 2 What is the thousands digit of 634802? 4 What is the tens digit of 932195? 9 What is the tens digit of 452834? 3 What is the units digit of 42116? 6 What is the units digit of 2819267? 7 What is the millions digit of 22936233? 2 What is the units digit of 8664908? 8 What is the tens digit of 1679770? 7 What is the tens digit of 16416165? 6 What is the millions digit of 1244988? 1 What is the hundreds digit of 837274? 2 What is the millions digit of 39479385? 9 What is the hundreds digit of 157755? 7 What is the thousands digit of 2399971? 9 What is the ten thousands digit of 467236? 6 What is the thousands digit of 778087? 8 What is the hundreds digit of 126853? 8 What is the hundreds digit of 7283090? 0 What is the millions digit of 1199266? 1 What is the units digit of 1336563? 3 What is the thousands digit of 4485269? 5 What is the ten thousands digit of 2140419? 4 What is the thousands digit of 23633? 3 What is the ten thousands digit of 11595915? 9 What is the ten thousands digit of 3604773? 0 What is the tens digit of 3321614? 1 What is the hundreds digit of 865966? 9 What is the hundreds digit of 2857638? 6 What is the hundreds digit of 5412209? 2 What is the units digit of 111750? 0 What is the hundred thousands digit of 3387713? 3 What is the tens digit of 1256222? 2 What is the units digit of 36460? 0 What is the tens digit of 8403105? 0 What is the tens digit of 4208542? 4 What is the units digit of 430692? 2 What is the thousands digit of 8602233? 2 What is the thousands digit of 2308608? 8 What is the hundred thousands digit of 10369346? 3 What is the hundred thousands digit of 6400084? 4 What is the hundred thousands digit of 2110541? 1 What is the millions digit of 1324743? 1 What is the ten thousands digit of 5219482? 1 What is the hundred thousands digit of 810541? 8 What is the tens digit of 1688353? 5 What is the thousands digit of 259240? 9 What is the tens digit of 27631? 3 What is the hundreds digit of 2896643? 6 What is the units digit of 388302? 2 What is the tens digit of 167363? 6 What is the units digit of 6794998? 8 What is the units digit of 3655292? 2 What is the units digit of 174863? 3 What is the units digit of 244919? 9 What is the thousands digit of 9311730? 1 What is the hundreds digit of 847294? 2 What is the thousands digit of 289577? 9 What is the tens digit of 1938148? 4 What is the thousands digit of 145446? 5 What is the tens digit of 4747710? 1 What is the ten thousands digit of 5219487? 1 What is the thousands digit of 533299? 3 What is the tens digit of 17287515? 1 What is the hundreds digit of 4979792? 7 What is the thousands digit of 4522586? 2 What is the millions digit of 26807929? 6 What is the hundreds digit of 565200? 2 What is the ten thousands digit of 1269424? 6 What is the ten thousands digit of 5540002? 4 What is the units digit of 698135? 5 What is the thousands digit of 40799? 0 What is the thousands digit of 1549554? 9 What is the ten thousands digit of 12289259? 8 What is the ten thousands digit of 553609? 5 What is the tens digit of 3951250? 5 What is the tens digit of 2269646? 4 What is the ten thousands digit of 8447372? 4 What is the ten thousands digit of 6636546? 3 What is the tens digit of 604729? 2 What is the thousands digit of 5494503? 4 What is the ten millions digit of 24882216? 2 What is the hundreds digit of 71105? 1 What is the hundred thousands digit of 1120420? 1 What is the ten millions digit of 10660245? 1 What is the tens digit of 1798716? 1 What is the hundreds digit of 4889245? 2 What is the tens digit of 21430697? 9 What is the hundreds digit of 5921038? 0 What is the thousands digit of
{ "pile_set_name": "DM Mathematics" }
- 16. Let f(a) = 7*a + 36. Let u(y) = -4*f(y) - 9*o(y). Give -q(l) - 2*u(l). l**2 - 6 Let s(x) = -x**3 + x**2. Let n(z) = 78*z**3 + 3*z**2. Give -n(h) + 2*s(h). -80*h**3 - h**2 Let o(d) = -5*d**2 - d - 2. Let w be 1/(5/((-25)/(-5))). Let j(v) = 1. Let h(z) = w*o(z) + 2*j(z). Let k(t) = -4*t**2 - t. Calculate -2*h(c) + 3*k(c). -2*c**2 - c Let z(b) = -7*b**3 - 7*b**2 + 7*b. Let t(w) = -w**3 - 7*w**2 - 3*w + 15. Let a be t(-6). Let h(q) = -4*q**3 - 3*q**2 + 3*q. Calculate a*z(o) + 7*h(o). -7*o**3 Suppose 73*w = 275 + 90. Let p(l) = 3*l**3 + 2*l**2 + 2*l + 2. Let y(v) = -6*v**3 - 5*v**2 - 5*v - 5. Give w*p(z) + 2*y(z). 3*z**3 Let h(d) = -3*d. Let c(g) = -17*g - 7. Let j(z) = -2*z - 1. Let i(w) = -4*c(w) + 28*j(w). Determine -12*h(l) - 2*i(l). 12*l Let p(h) = 3*h**3 + 7*h**2 + 8*h - 5. Let q(k) = 6*k**3 + 14*k**2 + 17*k - 11. Calculate 13*p(t) - 6*q(t). 3*t**3 + 7*t**2 + 2*t + 1 Let j(u) = u**2 - 2*u. Let z(o) = 59*o**3 + 7*o**2 - 14*o. Give 42*j(y) - 6*z(y). -354*y**3 Let z(l) = 10*l**2 - 3*l - 3. Let w = -252 + 249. Let v(d) = -21*d**2 + 7*d + 7. Determine w*v(p) - 7*z(p). -7*p**2 Let k(u) = u**2. Let a(p) be the third derivative of 0*p**3 + 1/6*p**5 + 0*p + 0 - 17*p**2 - 1/120*p**6 + 0*p**4. Give a(h) - 6*k(h). -h**3 + 4*h**2 Let i(g) = -4*g + 1. Let w(q) = -1 + q - 10*q + 8*q + 6*q + 0*q. Give 6*i(h) + 5*w(h). h + 1 Let b(l) = -l - 1. Let s(d) = -d**3 - 2*d**2 + 4*d + 1. Let t be s(-3). Let x(r) = r + r - 5*r + 4*r - 4. Determine t*b(m) + x(m). 3*m - 2 Let j(t) = t + 3 - t - 7 - t. Let n(o) = 2*o + 5. Let s = 28 + -32. Determine s*j(a) - 3*n(a). -2*a + 1 Let g(y) = -21*y - 2. Let x(n) = -n**2 - 41*n - 3. Determine -5*g(i) + 3*x(i). -3*i**2 - 18*i + 1 Let p(u) = 3*u**3 - 7*u - 2*u**2 + u**2 + 8*u**2 - 2 + 9. Let z(t) = -2*t**3 - 5*t**2 + 5*t - 5. Give -5*p(r) - 7*z(r). -r**3 Suppose 3*b - 56 = -b. Let l(a) be the first derivative of -5*a**2/2 - a - 14. Let w(s) = 24*s + 4. Let m be (4/(-2) + 3)*3. What is b*l(n) + m*w(n)? 2*n - 2 Let x(k) = 34*k**2 - 3*k - 4. Let r(s) = -s - 1. Determine 4*r(z) - x(z). -34*z**2 - z Let p(u) = -1 + 94*u + 89*u - 2 - 177*u. Let t(k) = 9*k - 5. Let m(o) = 7*p(o) - 5*t(o). Let n(w) = -3*w + 3. Determine -3*m(h) + 4*n(h). -3*h Let w(p) = 3 - 6950*p + 5 + 6950*p - 2*p**2 - 4. Let g(c) = -1. Calculate -2*g(m) - w(m). 2*m**2 - 2 Let f(k) = -23*k**3 - 23*k**2 + 6*k. Let v(p) = -4*p**3 - 4*p**2 + p. Let i = 310 + -344. Give i*v(a) + 6*f(a). -2*a**3 - 2*a**2 + 2*a Let p(o) = -12*o**3 - 4*o**3 - 15 - 9*o**2 - 8 - 20*o + 8*o**3 + 26*o**2. Let l(g) = 3*g**3 - 6*g**2 + 7*g + 8. Calculate 17*l(h) + 6*p(h). 3*h**3 - h - 2 Let z(k) = 8*k. Let a(t) = 2*t. What is -28*a(y) + 2*z(y)? -40*y Let p(g) = -6*g**2 - 2*g + 16. Let h(o) = 7*o**2 + 2*o - 13. Let f(l) = -3*h(l) - 2*p(l). Let i(v) = -5*v**2 - v + 4. What is 6*f(x) - 11*i(x)? x**2 - x - 2 Let u(i) = -4*i**3 - 3*i**2 - 2*i + 7. Let k(o) = o**2 + o + 1. Give 2*k(l) + u(l). -4*l**3 - l**2 + 9 Let h(k) = 5*k**2 - k + 4. Let a(r) = 5*r**2 - 2*r + 3. Determine 5*a(f) - 4*h(f). 5*f**2 - 6*f - 1 Let v(z) be the second derivative of -3*z**4/4 + z**3 + 2*z - 212. Let f(r) = -r. Calculate 6*f(t) + v(t). -9*t**2 Let i(p) = -2*p**2 + 14*p + 9. Let t = -311 - -319. Let u(s) = s**2 - 5*s - 3. Calculate t*u(g) + 3*i(g). 2*g**2 + 2*g + 3 Let d(l) = -11*l**3 + 9. Let t(n) = 22*n**3 + n**2 - 19. Determine -5*d(i) - 2*t(i). 11*i**3 - 2*i**2 - 7 Let z(q) = 5*q - 186. Let v(m) = -22*m + 746. Determine 2*v(i) + 9*z(i). i - 182 Let h(f) = 12826*f. Let o(w) = -101*w. Calculate -5*h(u) - 636*o(u). 106*u Let z(q) = 14*q**3 - 17*q**2 + 11*q - 45. Let f(w) = -5*w**3 + 6*w**2 - 4*w + 15. Determine -17*f(y) - 6*z(y). y**3 + 2*y + 15 Let i(o) = 2*o**2 - 3*o + 17. Let y(n) = -n**2 + 5*n - 19. What is -3*i(f) - 2*y(f)? -4*f**2 - f - 13 Let c(n) = -n - 1. Let u(b) = b**3 - b - 1. Let i be 0*(-4)/20 - -1. Determine i*c(t) - u(t). -t**3 Let j(w) = w**2 + w + 1. Let n(u) be the third derivative of u**5/15 + 7*u**4/24 + 7*u**3/6 - 3*u**2 + 34. What is -14*j(p) + 2*n(p)? -6*p**2 Let f(t) = -6*t - 1631. Let c(k) = -2*k - 543. Determine -17*c(q) + 6*f(q). -2*q - 555 Let v(f) = -218*f**2 - 10*f + 8. Let j(c) = -73*c**2 - 4*c + 3. Calculate 8*j(d) - 3*v(d). 70*d**2 - 2*d Let p = 8 - 15. Let o(j) = 5*j**2 - 20*j + 2. Let n(r) = -4*r**2 + 15*r - 1. Let l(v) = 11*n(v) + 8*o(v). Let z(w) = -6*w**2 + 7*w + 7. What is p*l(i) + 5*z(i)? -2*i**2 Let t(c) = -3*c - 1. Let j be t(-1). Let d(l) = -21*l**3 + 9*l. Let g(z) = -126*z + 247*z + 5*z**3 - 123*z. Give j*d(x) + 9*g(x). 3*x**3 Let c(d) = -4*d**3 + 5*d + 1. Let v(x) = 4*x**3 - 6*x - 1. Suppose 57 - 15 = 7*j. Determine j*v(h) + 7*c(h). -4*h**3 - h + 1 Let b(z) = -2*z. Let f(m) = -m. Let d be ((-44)/(-10) - 0) + (-6)/15. Suppose -2*s + 4*s = -d, n + 4*s = -5. Determine n*b(q) - 8*f(q). 2*q Let u(g) = g + 11. Let z(a) be the second derivative of a**3/6 + 5*a**2 - 47*a + 2. Calculate 3*u(v) - 4*z(v). -v - 7 Let y(p) = 2*p - 1. Let q(j) = j**3 + j**2 - 70*j + 4. Calculate q(h) + 4*y(h). h**3 + h**2 - 62*h Let w(f) = -4*f + 6. Let v(s) be the first derivative of s - 12. Let h be (0 - -1) + 2 + -15 + 18. What is h*v(q) - w(q)? 4*q Let t(z) = z - 3. Let r(g) = 5*g - 16. Suppose -5 = c - 16. Let p = 161 + -163. What is c*t(n) + p*r(n)? n - 1 Let a(s) = 3*s - 6. Let j(q) be the third derivative of 1/12*q**4 + 0*q - 2/3*q**3 - 20*q**2 + 0. What is 5*a(u) - 7*j(u)? u - 2 Let g(i) = -15*i**2 - 5*i + 9. Let a(w) = -16*w**2 - 4*w + 10. Let z(o) = -6*a(o) + 7*g(o). Let x(y) = -5*y**2 - 6*y + 2. Give 7*x(t) - 4*z(t). t**2 + 2*t + 2 Let t(i) = -i**3 + i**2 - 2*i - 2. Let n(u) = -6*u**3 + 5*u**2 - 8*u - 12. Let v(r) = r**3 - r + 1. Let z(p) = n(p) + v(p). Calculate 22*t(b) - 4*z(b). -2*b**3 + 2*b**2 - 8*b Suppose 0 = 5*y - d + 21, 0*y = 3*y + 3*d + 9. Let f be 10/(-6)*(-1 + 8 + y). Let g(a) = a - 5. Let u(o) = -o + 6. Calculate f*g(n) - 4*u(n). -n + 1 Let l(y) = 4*y**3 - 5*y**2 - 2*y + 9. Let k(r) = r**3 + r**2 - 1. Calculate 5*k(g) + l(g). 9*g**3 - 2*g + 4 Let g = -1414 - -33937/24. Let l(x) be the third derivative of 0*x + g*x**4 + 1/6*x**3 - 9*x**2 + 0. Let n(r) = -5*r - 7. Calculate -6*l(s) - n(s). -s + 1 Let l(v) = 1343*v - 8. Let q(j) = -672*j + 3. Give -2*l(d) - 5*q(d). 674*d + 1 Let m(z) = -4*z**3. Let u(a) = -a**2 - 24*a - 134. Let d be u(-8). Let v(h) be the second derivative of h**5/20 - h. Determine d*v(t) - m(t). -2*t**3 Let o(t) = -2*t**2 + 4*t - 2. Let v(p) = 6*p**2 - 12*p + 7. Let h(m) = -8*m - 22. Let b be h(-3). Calculate b*v(k) + 7*o(k). -2*k**2 + 4*k Let f(v) = -5*v + 92. Let o(p) = 2*p - 31. Calculate -4*f(x) - 11*o(x). -2*x - 27 Let h(d) be the first derivative of 7*d**4/4 + d**3 + d**2/2 + 3*d - 77. Let j(x) = -6*x**3 - 2*x**2 - x - 2. Give 2*h(o) + 3*j(o). -4*o**3 - o Let f(l) = 6*l**3 - 17*l. Let u(r) = r**3 - 3*r. Suppose -234 = -2*x - 246. Determine x*f(k) + 34*u(k). -2*k**3 Let c(a) = -a**3 + 4*a - 2. Let s(k) = k**3. Let l(n) = n**3 + 11*n - 6. Let p(r) = -l(r) + 4*s(r). What is 11*c(b) + 4*p(b)? b**3 + 2 Suppose 0*j + j = -3. Let o(y) = 6*y + 5. Let l(s) = 8 - 3*s - 4 - 7. Give j*o(f) - 5*l(f). -3*f Let m(w) = -155379*w**2 - 1359*w + 2718. Let f(y) = 457*y**2 + 4*y - 8. Calculate 1359*f(g) + 4*m(g). -453*g**2 Let c = 62 + -58. Suppose -r - i - 16 = i, -i - 29 = 2*r. Let x(l) = -l + 1. Let m(g) = -2*g - g + 1 + 3 + 0. Give c*m(b) + r*x(b). 2*b + 2 Let d(m) = -6*m**2 - 3*m. Let r be ((-2)/(-4))/((-3)/(-42)). Let i(h) = 0*h - 262 + r*h**2 + 262 + 3*h. Calculate 5*d(l) + 4*i(l). -2*l**2 - 3*l Let c(l) be the first derivative of l**3/3 - l**2/2 + l - 649. Let n(u) = 7*u**2 - 10*u + 5. Give -5*c(q) + n(q). 2*q**2 - 5*q Let l(i) = -5*i + 3. Let c(p) = 21*p - 13. Let a = 15 - 10. Suppose -2*m = 5*j - 0*m + 5, j + a*m = -1. Let d be (8 - 7)/(j/(-9)). Give d*l(o) + 2*c(o). -3*o + 1 Let b(x) = -3*x - 12. Let n(f) = 131*f - 28 - 136*f + 10. Calculate -8*b(h) + 5*n(h). -h + 6 Let j(p) = p + 1. Let m be j(-5). Let h = 5 + m. Let x = 21 + -18. Let w(v) = -v**3 + v**2 - 1. Let z(f) = 5*f**3 - 4*f**2 + 3. Calculate h*z(a) + x*w(a). 2*a**3 - a**2 Let o(v) = 3*v. Let n(t) be the third derivative of -t**5/60 + 5*t**4/8 - 47*t**3/6 - 13*t**2. Let k be n(5). Let j(i) = 16*i. Give k*j(r) - 14*o(r). 6*r Suppose 8 = z - 5*m, -2*m = -z - 0*m + 5. Let y(j) = 3*j**2 + 2*j + 1. Let c(d) =
{ "pile_set_name": "DM Mathematics" }
7. 587, 1601 What are the prime factors of 3286151? 11, 17, 17573 What are the prime factors of 194719? 7, 27817 What are the prime factors of 358548? 2, 3, 29879 List the prime factors of 3044298. 2, 3, 507383 List the prime factors of 324563. 463, 701 List the prime factors of 859321. 859321 List the prime factors of 968819. 968819 List the prime factors of 74525. 5, 11, 271 List the prime factors of 326261. 13, 25097 What are the prime factors of 323900? 2, 5, 41, 79 List the prime factors of 15846416. 2, 227, 4363 List the prime factors of 77725. 5, 3109 What are the prime factors of 1531936? 2, 7, 977 What are the prime factors of 5044497? 3, 67, 25097 What are the prime factors of 781217? 781217 What are the prime factors of 20013505? 5, 17, 173, 1361 List the prime factors of 331692. 2, 3, 131, 211 What are the prime factors of 112718? 2, 56359 List the prime factors of 271491. 3, 11, 19, 433 List the prime factors of 12525196. 2, 3131299 What are the prime factors of 281765? 5, 11, 47, 109 What are the prime factors of 1576818? 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107, 241, 887 List the prime factors of 3389348. 2, 37, 22901 What are the prime factors of 340913? 340913 List the prime factors of 18281. 101, 181 List the prime factors of 309965. 5, 47, 1319 What are the prime factors of 1107478? 2, 157, 3527 List the prime factors of 406669. 53, 7673 What are the prime factors of 306174? 2, 3, 11, 4639 What are the prime factors of 273879? 3, 30431 List the prime factors of 337411. 337411 List the prime factors of 306372. 2, 3, 11, 211 What are the prime factors of 6765846? 2, 3, 1127641 What are the prime factors of 1668448? 2, 17, 3067 What are the prime factors of 140530? 2, 5, 13, 23, 47 What are the prime factors of 9250151? 1123, 8237 List the prime factors of 10336401. 3, 1148489 What are the prime factors of 9983208? 2, 3, 19, 21893 List the prime factors of 182955. 3, 5, 12197 List the prime factors of 6028069. 6028069 List the prime factors of 5179811. 7, 13, 56921 List the prime factors of 2344992. 2, 3, 13, 1879 List the prime factors of 2086998. 2, 3, 19, 18307 List the prime factors of 1089474. 2, 3, 107, 1697 What are the prime factors of 44925? 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2, 3, 7, 97, 197 What are the prime factors of 76058? 2, 17, 2237 List the prime factors of 32752894. 2, 163, 100469 List the prime factors of 783885. 3, 5, 52259 List the prime factors of 127465. 5, 13, 37, 53 What are the prime factors of 368292? 2, 3, 47, 653 What are the prime factors of 3619137? 3, 131, 9209 What are the prime factors of 2882642? 2, 7, 19, 10837 List the prime factors of 10662070. 2, 5, 71, 15017 List the prime factors of 125116. 2, 31, 1009 List the prime factors of 26701658. 2, 13350829 List the prime factors of 351096. 2, 3, 14629 What are the prime factors of 112143? 3, 29, 1289 List the prime factors of 7863. 3, 2621 List the prime factors of 582359. 191, 3049 What are the prime factors of 451798? 2, 223, 1013 List the prime factors of 756278. 2, 61, 6199 List the prime factors of 28233. 3, 3137 What are the prime factors of 5483192? 2, 11, 13, 4793 What are the prime factors of 37999? 13, 37, 79 What are the prime factors of 8423657? 11, 43, 1619 List the prime factors of 108698. 2, 17, 23, 139 What are the prime factors of 6006783? 3, 313, 6397 What are the prime factors of 619503? 3, 206501 What are the prime factors of 11745475? 5, 7, 41, 1637 What are the prime factors of 209681? 307, 683 List the prime factors of 29678016. 2, 3, 154573 What are the prime factors of 18618? 2, 3, 29, 107 List the prime factors of 670679. 617, 1087 List the prime factors of 4988723. 23, 216901 List the prime factors of 16667134. 2, 11, 23, 32939 List the prime factors of 11566361. 11566361 What are the prime factors of 1200881? 11, 109171 What are the prime factors of 2151575? 5, 89, 967 What are the prime factors of 1080624? 2, 3, 47, 479 List the prime factors of 703526. 2, 351763 List the prime factors of 18477062. 2, 17, 419, 1297 What are the prime factors of 877474? 2, 13, 33749 List the prime factors of 349243. 37, 9439 List the prime factors of 4903111. 4903111 What are the prime factors of 126149? 101, 1249 What are the prime factors of 7233347? 11, 17, 47, 823 What are the prime factors of 1892004? 2, 3, 157667 List the prime factors of 11279850. 2, 3, 5, 139, 541 What are the prime factors of 68287? 23, 2969 What are the prime factors of 196344? 2, 3, 101 List the prime factors of 2265761. 2265761 List the prime factors of 1120014. 2, 3, 7, 2963 What are the prime factors of 22967310? 2, 3, 5, 765577 List the prime factors of 4463571. 3, 7, 17, 12503 List the prime factors of 1278250. 2, 5, 5113 List the prime factors of 494216. 2, 163, 379 What are the prime factors of 16385962? 2, 8192981 List the prime factors of 19174180. 2, 5, 23, 73, 571 List the prime factors of 509894. 2, 7, 11, 43 List the prime factors of 6708867. 3, 11, 263, 773 List the prime factors of 3112685. 5, 373, 1669 List the prime factors of 542056. 2, 67757 List the prime factors of 1579682. 2, 13, 60757 What are the prime factors of 8920615? 5, 11, 241, 673 What are the prime factors of 1363922? 2, 7, 97423 What are the prime factors of 10253220? 2, 3, 5, 170887 List the prime factors of 510641. 563, 907 What are the prime factors of 4422821? 13, 83, 4099 List the prime factors of 8314039. 19, 29, 79, 191 List the prime factors of 945734. 2, 47, 10061 List the prime factors of 936945. 3, 5, 47, 443 List the prime factors of 592017. 3, 197339 List the prime factors of 3213755. 5, 19, 33829 What are the prime factors of 1945370? 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{ "pile_set_name": "DM Mathematics" }
e third smallest value? (a) 0 (b) 1/4 (c) -1.91 b What is the sixth biggest value in 4, 0.015, -0.1, -4, -21, -3? -21 Which is the second smallest value? (a) -2372 (b) -1 (c) -50 (d) -0.1 c What is the biggest value in -3/2, -1, -395, 351? 351 What is the second biggest value in -1/36, 14, 5, 2, -6/7, -5? 5 Which is the second smallest value? (a) -5 (b) -4994.8 (c) -1 a What is the second smallest value in -2, -87, -18, -0.4? -18 Which is the third biggest value? (a) -0.63 (b) -1 (c) 1822 b What is the fifth smallest value in -2, -127, 4, 311, -5? 311 Which is the second smallest value? (a) -3 (b) -2/21 (c) 1/4 (d) -20.49 (e) 4 a What is the fourth smallest value in -54/79, 4, -3/2, -0.1? 4 What is the fourth smallest value in -1, 2, 1.2, -1.561? 2 What is the second smallest value in 0.6, 2/7, -5017/2? 2/7 What is the second biggest value in -2.2, 0.3, 292, 7, 5, 1/2? 7 Which is the third smallest value? (a) 1/8 (b) 2540 (c) 5 b Which is the biggest value? (a) -0.1 (b) 19 (c) -2.34 b Which is the second smallest value? (a) 64 (b) 2 (c) 0.29 (d) -2 c Which is the fourth smallest value? (a) -0.1 (b) 0.7 (c) -1 (d) 648 d What is the fourth biggest value in -0.13, -5, 3, 1/2, 293? -0.13 What is the fourth biggest value in 1/22, -5, 1/5, -137, -15? -15 Which is the fourth biggest value? (a) 15 (b) -689 (c) -4 (d) -12 b Which is the second biggest value? (a) -1 (b) 1 (c) 0.247 (d) -37 c Which is the second smallest value? (a) 0.3 (b) 1 (c) -4 (d) 0.1 (e) 1499 d Which is the smallest value? (a) -0.3 (b) -1/3 (c) -1/9 (d) -94 d Which is the third smallest value? (a) -4 (b) -2/3 (c) 0.53 (d) -0.02 (e) -3 (f) -0.5 b What is the second biggest value in 1/23, 6.4, -0.5, -2/15? 1/23 What is the smallest value in 0.3, 3, 5, 1/2, 11/147? 11/147 What is the fourth biggest value in 0.1, -1, 2, 117.28? -1 Which is the third smallest value? (a) 4/11 (b) 4 (c) 11680 c What is the second biggest value in -1/3, 0.3, 71341? 0.3 What is the sixth smallest value in -4473, -4, 4/3, 0.1, -1/5, 2? 2 Which is the fourth smallest value? (a) 2/9 (b) 1.3 (c) 0 (d) 1 (e) 0.4 d Which is the third biggest value? (a) 2 (b) 0.3 (c) 6770/3 b Which is the smallest value? (a) -1/3 (b) -356 (c) 0.183 b Which is the third smallest value? (a) 10 (b) -0.2 (c) -13 (d) -3.9 b Which is the second biggest value? (a) -1/5 (b) 5.4 (c) -0.1 (d) -1/4 (e) 1 e Which is the smallest value? (a) -5 (b) -1.5757 (c) 2/5 a Which is the biggest value? (a) -4 (b) 2 (c) -0.04 (d) -310 b What is the fourth smallest value in -0.5, 1/3, -6, 2/9, 20? 1/3 What is the third biggest value in 0.4, -8/3, -1, 10? -1 Which is the second biggest value? (a) -0.1211 (b) -2/61 (c) -5 a What is the third biggest value in -4, 3/16, 15, 0.17? 0.17 What is the fourth smallest value in 14, 3, -3/5, 1/4, -2? 3 Which is the third smallest value? (a) -11 (b) 5 (c) -3.91 b Which is the fourth smallest value? (a) -0.5 (b) -170 (c) -4 (d) -0.15 d What is the fifth smallest value in 2, -2/11, 3/5, -15, 1, 150? 2 Which is the third biggest value? (a) -20 (b) -0.23 (c) 2 a Which is the second smallest value? (a) -4 (b) -2/5 (c) 1.2 (d) 24/125 (e) -2/9 b Which is the third biggest value? (a) -1/2 (b) 1/4 (c) -4 (d) -1/8 (e) -0.1 d What is the sixth smallest value in 0.5, 0, -1/2, 0.1, -1/7, -114795? 0.5 Which is the third smallest value? (a) -2/3 (b) -5/4 (c) -0.3 (d) 5 (e) -0.1 (f) -7/9 a Which is the third smallest value? (a) -1 (b) -2 (c) 0.42 (d) -154 a Which is the biggest value? (a) -5 (b) 24 (c) 21129 (d) -3/2 c What is the biggest value in -1/3, -4, -2/7, 2/17, 3/7? 3/7 Which is the second smallest value? (a) -29.3 (b) 6 (c) 5 (d) -15 (e) -4 d What is the second smallest value in 0, -0.85608, 0.7? 0 Which is the third smallest value? (a) 3/5 (b) -12 (c) 0.2 (d) -1.7 (e) 3/2 (f) 0 f Which is the smallest value? (a) -2 (b) -0.5 (c) -8/69 a What is the smallest value in 0.3, 47, -2, -4, 3/5, -0.5? -4 What is the smallest value in 747, -303, 1/5? -303 Which is the fourth smallest value? (a) -7 (b) 5/4 (c) 4 (d) 0.3 (e) 12.1 c Which is the third biggest value? (a) 5 (b) -4 (c) 0 (d) -3 (e) 4/9 c What is the fourth smallest value in -1, 3, -1.3, -8/85? 3 What is the sixth biggest value in -4, -2.7, 3, -6, 2/7, 37? -6 What is the smallest value in 3, 0.4, 3/2, 634, -0.1? -0.1 Which is the second smallest value? (a) -2/89 (b) 7.4 (c) -1/7 (d) 2 a What is the fifth biggest value in 1/2, 0.02, -0.5, -2/3, -84/17? -84/17 Which is the third smallest value? (a) 4 (b) 36/5 (c) 44 (d) -0.5 b Which is the biggest value? (a) 1094 (b) -3 (c) 10/3 (d) 3 a What is the third biggest value in -174, -6, 1/6, 0.2, 4? 1/6 What is the third biggest value in 2/17, 1, 501, -22? 2/17 What is the second smallest value in 5/6, 3, -4, 9811? 5/6 Which is the second smallest value? (a) -5 (b) 0.103 (c) 256.5 b What is the second smallest value in -0.17, 6/11, 25? 6/11 What is the third biggest value in -1/9, -0.5, 13, -0.25? -0.25 What is the fifth biggest value in -2/7, -24, 112, -3, -0.15, 5? -3 Which is the third biggest value? (a) 4 (b) -86 (c) -5 (d) -4 (e) -0.2 (f) -1/3 f What is the second biggest value in -5, -3/7, 0, 14/11, -0.2? 0 Which is the third biggest value? (a) -2/7 (b) 2/53 (c) -5 (d) -6/11 d What is the biggest value in -1, -9, -3/2, 5, 3? 5 Which is the third biggest value? (a) -110 (b) 0.1 (c) 0 (d) 0.2 c Which is the fourth biggest value? (a) -5 (b) -989 (c) 3/49 (d) 0.3 (e) 3 a Which is the biggest value? (a) 8182 (b) -3 (c) -3/8 a What is the biggest value in -0.3, -4/7, 39, -11, -5/4? 39 Which is the fifth biggest value? (a) 4/3 (b) -0.4 (c) -0.5 (d) -5/16 (e) 5 (f) 3 b Which is the second smallest value? (a) -1/12 (b) -3 (c) 46486 (d) 3 a Which is the smallest value? (a) 2/41 (b) 0.5 (c) -1/19 (d) -2 d What is the smallest value in -79, -2518, -5/2? -2518 Which is the second smallest value? (a) 10 (b) -13.4596 (c) 2 c Which is the biggest value? (a) 2 (b) -18 (c) -2/1759 a What is the fourth biggest value in 1, -2/5, 1/3, 1/19, -3/8? -3/8 Which is the fifth biggest value? (a) 6 (b) 4 (c) 2/1407 (d) 2/5 (e) 0.5 c Which is the fifth smallest value? (a) -20 (b) -7 (c) -2 (d) 2/13 (e) -0.5 d What is the fourth biggest value in 1.913, 3, 1/7, 5, 0.1? 1/7 What is the third smallest value in 2, 0.82, 19, 0.3, 4, -1/2? 0.82 What is the third smallest value in 0.01, -4/649, -3/2? 0.01 Which is the second biggest value? (a) -25269 (b) -0.3 (c) 1/3 b Which is the smallest value? (a) -0.2 (b) 1/3 (c) 157 (d) 1577 a What is the fourth smallest value in -0.5, -1, 1/9, -95, 14? 1/9 Which is the third smallest value? (a) -2/3 (b) -0.0361 (c) -3/5 (d) 0.2 b What is the smallest value in 0.5, 0.1, -2.8, -83.2? -83.2 What is the second biggest value in 2, -20, -13/4, 2/7? 2/7 Which is the smallest value? (a) -209/3 (b) -871 (c) -4 b Which is the smallest value? (a) 0.026 (b) 4586 (c) 5 (d) -2/5 d What is the smallest value in -0.5, -0.6, 0.2, 0.1587, 6/13? -0.6 Which is the smallest value? (a) 1/2 (b) -14 (c) 0.26 (d) 0.4 (e) 1 b Which is the second biggest value? (a) 1.7 (b) 0.4 (c) 89 (d) 2/11 a What is the third biggest value in -1.6462, -0.3, 0.3? -1.6462 What is the third smallest value in 0.2, 65, -696? 65 What is the fourth biggest value in 5/4, -0.2, -2492, 0, 0.4? -0.2 What is the smallest value in 4, 2, 32? 2 What is the biggest value in 1/2, 0, 3/575, -3? 1/2 Which is the third biggest value? (a) 2 (b) -1/17 (c) 0.28 (d) -59 b What is the third biggest value in -1/4, 2, -125, 0.5, 11? 0.5 Which is the smallest value? (a) -158 (b) 0.3 (c) -4 a Which is the second biggest value? (a) 242 (b) -3/164 (c) 1/2 (d) 0.3 c What is the second biggest value in 11, 5, 439, -24? 11 What is the second biggest value in -1.8, 1/18, 0.03? 0.03 Which is the second smallest value? (a) 0.718 (b) 0.4 (c) 4/7 (d) 0.5 (e) -1/6 b What is the third biggest value in 5, -2/8859, 1/2, 4, 0, -1/3? 1/2 What is the fifth smallest value in -0.5, -0.4, 0, -4, 5796, -1? 0 What is the sixth biggest value in 4157, -1, 1/5
{ "pile_set_name": "DM Mathematics" }
68, 178, 306, 458? 640 What is next in -13586, -27169, -40752, -54335, -67918? -81501 What is the next term in 26, 30, 32, 32? 30 What comes next: 1233, 1207, 1167, 1107, 1021, 903, 747, 547? 297 What is the next term in 2906, 5813, 8720, 11627? 14534 What is the next term in 39, 70, 101? 132 What comes next: -897, -888, -867, -828, -765? -672 What comes next: 268, 529, 788, 1045, 1300, 1553? 1804 What comes next: 10, 23, 40, 61, 86, 115? 148 What comes next: 69, 66, 73, 96, 141, 214? 321 What comes next: 11983, 11981, 11979, 11977? 11975 What comes next: 48, 186, 416, 738, 1152, 1658, 2256? 2946 What is the next term in 29, 6, -19, -46, -75, -106? -139 What is the next term in -130, -129, -140, -169, -222, -305, -424? -585 What is the next term in -15, -121, -217, -297, -355, -385? -381 What is the next term in 29, 31, 35, 41, 49, 59, 71? 85 What is next in 59, 304, 713, 1286, 2023, 2924, 3989? 5218 What is the next term in 56, 145, 294, 503? 772 What comes next: -25, -89, -189, -319, -473, -645, -829, -1019? -1209 What is the next term in -82, -83, -84, -85, -86, -87? -88 What comes next: -66, -139, -210, -279, -346? -411 What is the next term in 37, 71, 105, 139, 173? 207 What is next in -100, -225, -356, -493, -636? -785 What is the next term in 14, 28, 18, -28, -122? -276 What comes next: 7, 30, 55, 82, 111? 142 What is the next term in -2, -17, -44, -83, -134? -197 What is the next term in -190, -382, -578, -778, -982, -1190, -1402? -1618 What is the next term in -4, -52, -134, -250, -400? -584 What comes next: -503, -513, -513, -497, -459? -393 What is next in 99, 141, 181, 219, 255, 289, 321? 351 What comes next: -22, -4, 30, 86, 170, 288, 446, 650? 906 What is next in 77, 192, 389, 674, 1053? 1532 What is the next term in 29, 5, -19? -43 What is the next term in -33, -22, 11, 78, 191, 362, 603, 926? 1343 What comes next: 1471, 1478, 1489, 1504? 1523 What is the next term in 33, -3, -71, -183, -351, -587, -903, -1311? -1823 What is next in 2147, 2145, 2141, 2135, 2127, 2117? 2105 What is the next term in 2784, 2773, 2748, 2703, 2632, 2529, 2388, 2203? 1968 What is next in -20, -4, 26, 76, 152, 260, 406, 596? 836 What is the next term in -1470, -2933, -4394, -5853, -7310, -8765, -10218? -11669 What comes next: -390, -391, -392? -393 What is next in 1116, 1114, 1112, 1110, 1108? 1106 What comes next: -27, -205, -693, -1647, -3223? -5577 What is next in -75, -145, -263, -429, -643, -905? -1215 What is the next term in -44, -216, -502, -902, -1416? -2044 What is the next term in 6, 18, 44, 90, 162, 266, 408, 594? 830 What comes next: -42, -102, -166, -234, -306, -382? -462 What comes next: 38, 67, 96, 125? 154 What comes next: 168, 289, 494, 789, 1180, 1673, 2274, 2989? 3824 What comes next: 477, 956, 1435, 1914, 2393? 2872 What comes next: -1505, -3003, -4491, -5969? -7437 What comes next: -15, -34, -67, -120, -199, -310, -459? -652 What comes next: -86, -180, -288, -416, -570, -756? -980 What is the next term in 64, 44, 46, 82, 164, 304? 514 What is the next term in -1948, -1944, -1940, -1936? -1932 What comes next: -153, -107, -29, 81, 223, 397, 603? 841 What is next in 196, 184, 172, 160? 148 What is the next term in -376, -759, -1144, -1531? -1920 What is next in -6, -1, 0, -9, -34, -81, -156? -265 What comes next: -30, -38, -50, -66, -86, -110? -138 What comes next: 582, 562, 540, 516, 490? 462 What comes next: 198, 400, 606, 816, 1030? 1248 What comes next: -92, -184, -286, -404, -544, -712, -914, -1156? -1444 What is the next term in 3, 5, 11, 21, 35? 53 What is the next term in -18, -128, -322, -606, -986? -1468 What is next in -15, -31, -51, -75, -103, -135, -171? -211 What comes next: 25, 118, 289, 538, 865, 1270, 1753? 2314 What comes next: -531, -518, -481, -408, -287, -106? 147 What is next in -60, -50, -16, 54, 172, 350, 600? 934 What is next in -721, -1425, -2115, -2785, -3429, -4041, -4615? -5145 What comes next: -5, -24, -59, -116, -201, -320, -479? -684 What comes next: -4, -77, -272, -649, -1268, -2189, -3472, -5177? -7364 What comes next: 234, 241, 238, 219, 178, 109, 6? -137 What is next in 331, 631, 917, 1183, 1423, 1631, 1801, 1927? 2003 What is the next term in 16, 37, 84, 169, 304? 501 What is the next term in -82, -80, -78? -76 What comes next: -595, -585, -571, -553? -531 What comes next: -120, -96, -72? -48 What is the next term in -2, -42, -182, -482, -1002, -1802, -2942, -4482? -6482 What comes next: 436, 858, 1280, 1702, 2124? 2546 What is the next term in 23, 132, 325, 608, 987, 1468? 2057 What comes next: 171, 317, 463? 609 What is next in 354, 350, 346, 342? 338 What is next in 12, 37, 86, 171, 304? 497 What is next in -540, -1969, -4342, -7653, -11896, -17065, -23154, -30157? -38068 What comes next: 78, 63, 38, 3? -42 What is next in 37, 54, 59, 46, 9, -58, -161? -306 What is next in 54, 110, 170, 234, 302? 374 What comes next: -4379, -4377, -4375, -4373? -4371 What is the next term in 7, 15, 23, 31, 39, 47? 55 What is next in -6154, -24609, -55360, -98401, -153726, -221329? -301204 What is the next term in 38, 38, 26, -4, -58, -142? -262 What comes next: 627, 631, 637, 645, 655, 667, 681? 697 What is next in -109, -108, -107, -106, -105? -104 What is the next term in 86, 83, 78, 71? 62 What is next in 2, 12, 22, 32, 42, 52? 62 What is the next term in -155, -139, -113, -77? -31 What is next in 8, 18, 32, 50, 72, 98? 128 What is the next term in -2058, -4117, -6176, -8235? -10294 What comes next: -32, -63, -94, -125, -156? -187 What is next in -187, -187, -195, -217, -259? -327 What is the next term in -373, -364, -341, -298, -229, -128, 11? 194 What is the next term in -68, -166, -286, -428, -592, -778, -986? -1216 What is next in 15, 60, 165, 360, 675, 1140? 1785 What is the next term in -6, 6, 28, 60, 102, 154? 216 What is the next term in 98, 372, 826, 1460, 2274? 3268 What comes next: 479, 484, 491, 500, 511? 524 What is the next term in 2233, 4467, 6701, 8935? 11169 What is the next term in 27, -6, -63, -156, -297? -498 What is the next term in 40161, 40160, 40159, 40158, 40157? 40156 What is the next term in -654, -1299, -1944, -2589, -3234? -3879 What is the next term in 613, 1223, 1833, 2443, 3053? 3663 What is next in -1644, -1639, -1632, -1623, -1612, -1599, -1584? -1567 What is the next term in -848, -1696, -2544, -3392, -4240, -5088? -5936 What comes next: 322, 642, 962, 1282, 1602? 1922 What is the next term in -14, -17, -20, -23? -26 What is next in -2491, -2495, -2501, -2509, -2519, -2531? -2545 What comes next: 18, 58, 124, 216? 334 What is next in 388, 778, 1168, 1558, 1948, 2338? 2728 What is next in 46, 48, 36, 4, -54, -144? -272 What is next in -20, -99, -192, -305, -444, -615, -824, -1077? -1380 What is the next term in -41, -61, -55, -11, 83, 239? 469 What is next in -264, -567, -872, -1179, -1488, -1799? -2112 What comes next: -139, -274, -409? -544 What comes next: -88, -92, -88, -70, -32, 32? 128 What is the next term in 271, 273, 277, 283, 291? 301 What comes next: 168, 310, 452, 594? 736 What is next in -52, -85, -118? -151 What is the next term in -109, -95, -69, -25, 43, 141? 275 What comes next: -8, 4, 40, 112, 232, 412, 664? 1000 What is next in 15, 44, 99, 186, 311, 480? 699 What is the next term in 1032, 4117, 9258, 16455? 25708 What comes next: 184, 184, 182, 178, 172, 164? 154 What comes next: 143, 188, 233, 278? 323 What is next in 11, 24, 59, 128, 243, 416, 659? 984 What is next in -23, -25, -29, -35? -43 What is next in -24, -77, -160, -273? -416 What is next in 71, 120, 189, 284, 411, 576? 785 What is the next term in -132, -177, -222? -267 What is the next term in 399, 395, 391? 387 What comes next: -4, -22, -40, -58? -76 What is the next term in 406, 400, 390, 376, 358, 336, 310? 280 What is next in -148, -142, -136, -130? -124 What comes next: -79, -253, -533, -919? -1411 What is the next term in 50, 24, -22, -88, -174, -280, -406? -552 What comes next: 169, 326, 483, 640? 797 What is the next term in 25, 5, -21, -47, -67, -75, -65, -31? 33 What is next in 5, -13, -57, -139, -271, -465, -733? -1087 What comes next: 2, 0, -4, -10, -18, -28? -40 What is next in 54, 125, 202, 285, 374, 469, 570? 677 What is the next term in 6807, 6803, 6799, 6795, 6791? 6787
{ "pile_set_name": "DM Mathematics" }
55 What is prob of sequence www when three letters picked without replacement from {w: 5}? 1 Calculate prob of sequence fm when two letters picked without replacement from {k: 1, f: 1, m: 1, v: 1, r: 1}. 1/20 Four letters picked without replacement from vfvcvffvffcf. What is prob of sequence vccv? 1/495 Two letters picked without replacement from {c: 8, n: 2, a: 9}. Give prob of sequence cn. 8/171 Calculate prob of sequence bbss when four letters picked without replacement from {s: 3, b: 15}. 7/408 What is prob of sequence qytt when four letters picked without replacement from {y: 3, t: 5, k: 2, q: 3}? 3/286 What is prob of sequence yhv when three letters picked without replacement from {y: 1, e: 2, h: 10, v: 1}? 5/1092 Four letters picked without replacement from {m: 13, r: 2, z: 2, o: 2}. Give prob of sequence zmrz. 13/23256 Calculate prob of sequence kyk when three letters picked without replacement from {a: 1, k: 4, j: 6, c: 2, y: 2}. 4/455 Three letters picked without replacement from ppvvppvvvpppv. Give prob of sequence vpv. 35/286 Two letters picked without replacement from ccchccccchc. Give prob of sequence hc. 9/55 What is prob of sequence unuj when four letters picked without replacement from uuuuajdansau? 1/594 Three letters picked without replacement from {d: 8, o: 2}. Give prob of sequence odd. 7/45 What is prob of sequence zw when two letters picked without replacement from hhzcww? 1/15 What is prob of sequence nu when two letters picked without replacement from {u: 16, n: 4}? 16/95 Calculate prob of sequence pph when three letters picked without replacement from hpphphhh. 5/56 What is prob of sequence ny when two letters picked without replacement from ystsnlk? 1/42 Calculate prob of sequence wwc when three letters picked without replacement from yttwtttwttwtwwctttt. 10/2907 What is prob of sequence pp when two letters picked without replacement from lltqpllipqp? 3/55 Calculate prob of sequence lwli when four letters picked without replacement from kkwdffkkkikkll. 1/12012 Three letters picked without replacement from kkxrc. What is prob of sequence kck? 1/30 What is prob of sequence rvk when three letters picked without replacement from {d: 1, k: 1, w: 1, r: 1, v: 1}? 1/60 Four letters picked without replacement from ubbkukukukkbkuu. Give prob of sequence uubk. 3/182 What is prob of sequence yryr when four letters picked without replacement from {g: 1, r: 4, y: 6, m: 1, e: 8}? 1/323 What is prob of sequence ja when two letters picked without replacement from wjaapphpajjaaiw? 1/14 Three letters picked without replacement from {l: 5, q: 2, t: 2}. What is prob of sequence tql? 5/126 Two letters picked without replacement from mkmrmfmzfmlmrm. Give prob of sequence rr. 1/91 Two letters picked without replacement from {m: 2, c: 1}. Give prob of sequence cm. 1/3 Calculate prob of sequence roro when four letters picked without replacement from {r: 4, o: 4, q: 2}. 1/35 Calculate prob of sequence yw when two letters picked without replacement from {p: 4, w: 1, i: 1, n: 2, y: 1}. 1/72 What is prob of sequence kcht when four letters picked without replacement from kkrtckkthk? 1/504 What is prob of sequence yyb when three letters picked without replacement from {n: 1, g: 2, y: 3, b: 4}? 1/30 Three letters picked without replacement from {m: 1, n: 1, j: 1, e: 3, a: 1}. Give prob of sequence jae. 1/70 Calculate prob of sequence ar when two letters picked without replacement from {r: 1, a: 1, g: 1}. 1/6 Four letters picked without replacement from rrxrarrraqarraxqar. What is prob of sequence arxx? 1/816 Four letters picked without replacement from {d: 2, m: 1, r: 1, w: 2, t: 4, y: 2}. What is prob of sequence trwd? 2/1485 Calculate prob of sequence kko when three letters picked without replacement from kko. 1/3 Four letters picked without replacement from ttwwjwwwww. Give prob of sequence jttw. 1/360 What is prob of sequence ccc when three letters picked without replacement from {c: 14, y: 4}? 91/204 What is prob of sequence zzii when four letters picked without replacement from zzxkeeeizittztt? 1/1365 What is prob of sequence oo when two letters picked without replacement from vvoovoovoowooo? 36/91 Two letters picked without replacement from zzzzzzzzzzztzzzzzzz. What is prob of sequence tz? 1/19 Two letters picked without replacement from bzhhfba. Give prob of sequence za. 1/42 Two letters picked without replacement from eyteetyedyeeye. Give prob of sequence yy. 6/91 Four letters picked without replacement from qzmmqiniiqi. What is prob of sequence nzni? 0 What is prob of sequence dd when two letters picked without replacement from {x: 1, d: 2, t: 2}? 1/10 Calculate prob of sequence zxdh when four letters picked without replacement from htdxxtxztxtx. 1/2376 Two letters picked without replacement from nwddf. Give prob of sequence fd. 1/10 Two letters picked without replacement from {p: 2, o: 10}. Give prob of sequence pp. 1/66 Three letters picked without replacement from {x: 1, g: 1, a: 2, h: 1, p: 1, l: 1}. Give prob of sequence gha. 1/105 Three letters picked without replacement from {l: 2, e: 2, m: 2, j: 1, k: 1}. What is prob of sequence kee? 1/168 Two letters picked without replacement from {w: 7, b: 9}. Give prob of sequence ww. 7/40 Two letters picked without replacement from bbbwbbybb. Give prob of sequence bw. 7/72 Three letters picked without replacement from hhhhhchccc. What is prob of sequence cch? 1/10 Two letters picked without replacement from cclllllllcllllllclc. Give prob of sequence cc. 10/171 What is prob of sequence vr when two letters picked without replacement from {q: 4, r: 2, v: 1, x: 1}? 1/28 Two letters picked without replacement from {n: 3, r: 2, j: 3}. Give prob of sequence nn. 3/28 Four letters picked without replacement from drmmmmrdmdrdmrrmmvd. What is prob of sequence dvmm? 35/11628 Two letters picked without replacement from {l: 4, z: 3, i: 9}. What is prob of sequence il? 3/20 What is prob of sequence vlf when three letters picked without replacement from lffv? 1/12 Two letters picked without replacement from ggdgngpkpkkgkkok. What is prob of sequence dn? 1/240 Three letters picked without replacement from ejssneeeenjjesl. What is prob of sequence lee? 1/91 Three letters picked without replacement from {w: 9, i: 7}. Give prob of sequence iwi. 9/80 What is prob of sequence qzl when three letters picked without replacement from zlzyqgqdg? 1/126 Two letters picked without replacement from {l: 9, a: 2}. Give prob of sequence la. 9/55 Two letters picked without replacement from gxtxxtgggtggg. Give prob of sequence xt. 3/52 What is prob of sequence bbv when three letters picked without replacement from {w: 1, v: 1, b: 3}? 1/10 Two letters picked without replacement from {n: 3, q: 2, j: 5, d: 2}. What is prob of sequence dq? 1/33 Calculate prob of sequence oeo when three letters picked without replacement from eoooe. 1/5 What is prob of sequence tbb when three letters picked without replacement from {p: 1, t: 3, d: 1, b: 2}? 1/35 Two letters picked without replacement from {k: 1, a: 2, n: 1, y: 4, r: 9}. What is prob of sequence ry? 9/68 What is prob of sequence lg when two letters picked without replacement from rrlggsrrugguru? 2/91 Four letters picked without replacement from {t: 4, k: 1, r: 4, i: 6, u: 3, y: 2}. Give prob of sequence iuir. 1/323 Calculate prob of sequence nzff when four letters picked without replacement from fzshntfh. 1/840 What is prob of sequence kr when two letters picked without replacement from kkr? 1/3 What is prob of sequence fz when two letters picked without replacement from ffzzzzffzfzzf? 7/26 Calculate prob of sequence sscs when four letters picked without replacement from {o: 2, s: 5, c: 6}. 3/143 What is prob of sequence nzc when three letters picked without replacement from uzghunhguczzhn? 1/364 Two letters picked without replacement from cjjwjqvxwjvx. Give prob of sequence jc. 1/33 Four letters picked without replacement from duudgdgdddgulgw. Give prob of sequence gulu. 1/1365 What is prob of sequence pk when two letters picked without replacement from vwppklnw? 1/28 Three letters picked without replacement from modooodihooomommm. What is prob of sequence oom? 7/102 Calculate
{ "pile_set_name": "DM Mathematics" }
f x**5/15 - 2*x**4/3 + 2*x**3 + 10*x**2 - 2*x. Suppose i(d) = 0. What is d? 1, 3 Let z(y) = -y**2 - 15*y + 36. Let k be z(-17). Factor q + 5*q - 2*q**2 - k*q. -2*q*(q - 2) Let y(n) be the second derivative of 1/2*n**3 - 14*n - 3/2*n**2 - 1/16*n**4 + 0. Let y(x) = 0. What is x? 2 Let g(u) be the first derivative of 0*u - 23 - 1/18*u**6 - 2/15*u**5 + 8/9*u**3 + 2/3*u**2 + 1/4*u**4. Determine r so that g(r) = 0. -2, -1, 0, 2 Let h(u) be the second derivative of u**6/165 - 9*u**5/55 + 39*u**4/22 - 108*u**3/11 + 324*u**2/11 - 146*u - 2. Determine y so that h(y) = 0. 3, 6 Suppose 18/5*y**4 - 4/5*y**3 - 18/5*y**2 + 8/5*y**5 + 0 - 4/5*y = 0. What is y? -2, -1, -1/4, 0, 1 Let f(r) be the third derivative of r**7/13860 + r**6/3960 + 7*r**4/12 - 4*r**2. Let p(u) be the second derivative of f(u). Factor p(c). 2*c*(c + 1)/11 Let s(v) be the first derivative of v**6/36 + v**5/6 - 3*v**4/8 - 17*v**3/18 + 2*v**2/3 + 2*v - 28. Let s(b) = 0. Calculate b. -6, -1, 1, 2 Let y(f) be the first derivative of 25*f**6/9 + 4*f**5/15 - 25*f**4/3 - 8*f**3/9 + 25*f**2/3 + 4*f/3 + 253. Find d such that y(d) = 0. -1, -2/25, 1 Let b(q) be the third derivative of -q**7/70 - q**6/5 - 21*q**5/20 - 9*q**4/4 + 2*q**2 - 287*q. Factor b(j). -3*j*(j + 2)*(j + 3)**2 Let u = 11872 - 83080/7. Suppose 5*h + 0 = 15, 2*v - 13 = -3*h. Factor 2/7*n**3 + u*n + 12/7*n**v + 16/7. 2*(n + 2)**3/7 Let i be ((-144)/30)/(6/(-140)). Factor 2*n**5 + 96*n + 11*n**4 + 0 + 7*n**4 + 47*n**3 + 32 + i*n**2 + 17*n**3. 2*(n + 1)*(n + 2)**4 Let a(o) be the first derivative of -2/5*o**5 + 0*o**3 - o**4 + 2*o**2 + 2*o - 13. Factor a(n). -2*(n - 1)*(n + 1)**3 Let l(v) be the first derivative of 5*v**4/4 - 5*v**3/3 - 185*v**2/2 - 175*v - 328. Factor l(b). 5*(b - 7)*(b + 1)*(b + 5) Let z(a) be the second derivative of -a**7/700 - a**6/120 - a**5/50 - a**4/40 + 4*a**3/3 - 5*a. Let r(y) be the second derivative of z(y). Factor r(g). -3*(g + 1)**2*(2*g + 1)/5 Factor 2/9*m**2 - 4/3 + 10/9*m. 2*(m - 1)*(m + 6)/9 Let g(n) be the third derivative of -1/5*n**3 - 1/150*n**5 + 0 + 0*n - 5*n**2 + 1/15*n**4. Let g(m) = 0. Calculate m. 1, 3 Factor 0 + 3/4*b**2 + 153/4*b. 3*b*(b + 51)/4 Let h = -6 + 11. Suppose h = -5*f + 20. Factor s**5 + 0*s**2 - 3*s**2 - 3*s**3 + f*s**2 - 2*s**2. s**2*(s - 2)*(s + 1)**2 Let n be (4 - (-208)/(-64)) + 17/4. Let f(m) be the first derivative of -2*m**2 + n - 2/3*m**3 - 2*m. Factor f(j). -2*(j + 1)**2 Suppose -3*w = j - 29, 4*j + 20 = 8*w - 3*w. Let b be (-1)/(-2)*w/10. Factor 4/5*d - 2/5 - b*d**2. -2*(d - 1)**2/5 Let n(h) = -h**2 + 2*h + 6. Let d be n(0). Let u be (-4)/(d/(-3 + 0)). Let 6/7 - 3/7*k**u - 3/7*k = 0. What is k? -2, 1 Suppose -140*m = -275 - 5. Factor 18/5*f - 27/5 - 3/5*f**m. -3*(f - 3)**2/5 Let b = -31 - -35. Factor -b - m**2 + 2*m**2 - 4 + 4*m + 3*m**2. 4*(m - 1)*(m + 2) Let v(l) = 8*l + 140. Let p be v(-17). Let r be 1 + p - ((-6)/2 - -3). Factor 1/2 + 5*q**2 - 5/2*q - 1/2*q**5 + 5/2*q**4 - r*q**3. -(q - 1)**5/2 Let y = -28257/5 + 5657. Factor -2/5*b**2 - y*b - 98/5. -2*(b + 7)**2/5 Let n = 1858/5 - 371. Let o = -12/17 + 111/85. Factor -3/5*g**3 + n*g + o - 3/5*g**2. -3*(g - 1)*(g + 1)**2/5 Solve 4/3*d - 14/9*d**3 + 2/9*d**5 + 0 - 10/9*d**2 + 10/9*d**4 = 0. -6, -1, 0, 1 Let f(s) = -s**5 - s**3 - s**2 - s. Let c(o) = o - 6. Let b be c(4). Let n(l) = 2*l**4 - l**3 - 3*l**2 - 2*l. Let u(t) = b*n(t) + 2*f(t). Factor u(m). -2*m*(m - 1)*(m + 1)**3 Let a = -1720 - -5165/3. What is p in -2/3 - p**2 - a*p = 0? -1, -2/3 Let w(l) be the first derivative of -12 - 8/7*l**3 - 30/7*l - 3/28*l**4 - 51/14*l**2. Find z such that w(z) = 0. -5, -2, -1 Let q(l) be the second derivative of l**6/80 + 3*l**5/32 + l**4/32 - 21*l**3/16 - 27*l**2/8 - 41*l - 4. Suppose q(z) = 0. Calculate z. -3, -1, 2 Let w be 6 - (3 - 144/(-30)) - -2. Factor -6*l + 72*l**2 + 1296*l**4 + w - 7776/5*l**5 - 432*l**3. -(6*l - 1)**5/5 Let h(b) be the second derivative of b**6/30 + 13*b**5/20 + 31*b**4/6 + 64*b**3/3 + 48*b**2 + 88*b. Factor h(w). (w + 2)*(w + 3)*(w + 4)**2 Determine m so that 2/9*m - 94/9*m**2 + 94/9 - 2/9*m**3 = 0. -47, -1, 1 Let v(x) be the first derivative of 5*x**6/12 - 11*x**5/2 + 55*x**4/4 + 50*x**3 - 90*x**2 + 311. Determine o so that v(o) = 0. -2, 0, 1, 6 Let f = 20703 - 20701. Factor 0 - 4/3*z**f + 0*z. -4*z**2/3 Suppose 0 = -2*n - 78 - 22. Let j be (12/(-21))/(n/35). Factor -2/5*z**4 + 0 + 2/5*z**2 - j*z**3 + 2/5*z. -2*z*(z - 1)*(z + 1)**2/5 Suppose 2*v - 150 = -142. Let i(y) = -y + 6. Let q be i(6). Factor q*t**2 + 4*t - 3*t + 5*t**2 - v*t**2. t*(t + 1) Let f be 10/(-4) + (-12)/8. Let v = 6 + f. Factor 63 - 63 - 3*r**v - 9*r. -3*r*(r + 3) Suppose 21*z + 19*z - 3 = 39*z. Solve -a + 3 - 1/3*a**z - 5/3*a**2 = 0 for a. -3, 1 Factor 192*s**2 + 10 - 49*s**2 + 15*s - 46*s**2 - 47*s**2 - 45*s**2. 5*(s + 1)*(s + 2) Let o(v) = -2*v. Let s(w) = 3*w**2 + 6*w - 9. Let f(l) = -6*o(l) - s(l). Find g such that f(g) = 0. -1, 3 Let f(v) = 7*v**2 - 371*v + 4. Let l be f(53). Factor 0*r + 9/7*r**l + 0*r**2 + 3/7*r**5 + 0 + 6/7*r**3. 3*r**3*(r + 1)*(r + 2)/7 Let k(t) be the first derivative of 5*t**3/3 + 190*t**2 - 385*t + 860. Suppose k(z) = 0. Calculate z. -77, 1 Suppose 27 = 3*r - 3*h, 0 = 2*r + 4*h + 6 - 0. Let y(k) be the first derivative of -1/9*k**2 - 9 + 1/18*k**4 + 2/45*k**r + 0*k - 2/27*k**3. Factor y(z). 2*z*(z - 1)*(z + 1)**2/9 Let z(n) be the third derivative of n**7/490 - n**6/280 - 18*n**2. Factor z(a). 3*a**3*(a - 1)/7 Let s = 1755 + -1752. Factor -1/4*p**5 + 0 - 7/4*p**2 - 1/2*p - 5/4*p**4 - 9/4*p**s. -p*(p + 1)**3*(p + 2)/4 Let c(n) be the first derivative of 3 - 5/4*n**4 + 0*n**2 + 0*n - 10/3*n**3. Factor c(w). -5*w**2*(w + 2) Let m = -71/30 - -43/15. Suppose -1/2*j**4 + m*j**2 + 0*j**3 + 0 + 0*j = 0. What is j? -1, 0, 1 Let g(q) = q**3 - 2*q**2 + 2*q - 5. Let m be g(3). Suppose -m = -2*h - t - 3, -3*h = 3*t - 12. What is u in 42/5*u**2 + 18/5*u**4 - 10*u**h - 4/5 - 6/5*u = 0? -2/9, 1 Let x(w) = -22*w**3 + 46*w**2 - 38*w + 7. Let u(c) = -15*c**3 + 30*c**2 - 25*c + 5. Let s(m) = -7*u(m) + 5*x(m). Suppose s(r) = 0. What is r? 0, 1, 3 Let q(t) be the second derivative of 0*t**2 - 18*t - 3/40*t**5 + 0 + 1/84*t**7 + 0*t**3 + 0*t**4 + 1/30*t**6. Solve q(h) = 0. -3, 0, 1 Suppose 17 = j + 13. Let b be (-27)/(-3) - (0 - -1). Solve -18*w**3 - j*w - 5*w**5 + b*w**4 + 2*w**4 + 21*w**2 + 3*w**5 - 7*w**2 = 0. 0, 1, 2 Let k(o) be the first derivative of -32 + 55*o**3 + 9*o + 2*o**2 + o**2 - 56*o**3. Factor k(u). -3*(u - 3)*(u + 1) Let n(w) = w - 3. Let c be n(10). Suppose -4*k + 12 = 4*u, 3*u - c*u - 2*k + 12 = 0. Factor 2/11 - 2/11*a**u - 2/11*a**2 + 2/11*a. -2*(a - 1)*(a + 1)**2/11 Factor 366*t**5 - 362*t**5 - 129*t**4 + 16*t - 12*t**3 + 16*t**2 + 121*t**4. 4*t*(t - 2)**2*(t + 1)**2 Let h = 43 - 29. Factor -h*a + 4 - 7*a + 7*a + 10*a**2. 2*(a - 1)*(5*a - 2) Suppose -v = 3*k + v - 14, -8 = 2*k - 3*v. Suppose 0 = -3*d - k*y, -6*y = -5*d - y. Suppose 0*m**3 + 0*m**4 - 4/7*m**5 + 0*m + d*m**2 + 0 = 0. Calculate m. 0 Suppose v = 6*v - 2*g - 28, 12 = 4*v + g. Suppose -t + 2*w + 12 = 3*t, -5*t + v*w = -18. Factor -2/5*f**3 + 0 + 0*f - 2/5*f**t. -2*f**2*(f + 1)/5 Find w, given that 40 + 2*w + 3*w**2 + 2*w**2 + 57*w - 14*w = 0. -8, -1 Let m(f) be the second derivative of -2*f**6/15 - 3*f**5/5 - f**4 - 2*f**3/3 + 145*f. Factor m(o). -4*o*(o + 1)**3 Let u be -13 - -15 - 6/12. Factor -3*v**2 + 0 - u*v**3 + 9/2*v. -3*v*(v - 1)*(v + 3)/2 Let t(g) be the third derivative of g**7/735 + 19*g**6/35 + 2166*g**5/35 - 794*g**2. Factor t(x). 2*x**2*(x + 114)**2/7 Let g be 3/(18/2)*0. Let k(d) be the first derivative of -1 + 0*d**3 + 0*d**2 + 0*d + g*d**5 + 0*d**4 - 1/21*d**6. Factor k(z). -2*z**5/7 Let m be 9*1/27 + (-79)/(-6). What is u in 12*u + 3/2 - m*u**2 = 0? -1/9, 1 Suppose -w - 5*m = 0, 0 = -0*w + 4*w + 4*m. Suppose 66*t = 69*t + 4*a + 15, -4*t - 18 = 5*a. Find r such that w*r + 2/3*r**2 + r**t + 0 + 1/3*r**4 = 0. -2, -1, 0 Let r(p) be the first derivative of -p**7/210 - 2*p**6/45 - p**5/10 - 7*p**3 - 25. Let u(j) be the third derivative of r(j). Factor u(g). -4*g*(g + 1)*(g + 3) Let k(z) be the third derivative of z**5/40 + 3*z**4/8 + 5*z**3/4 - z**2 - 25*z. Factor k(p). 3*(p + 1)*(p + 5)/2 Let a(d) be the first derivative of -1/4*d**4 - 2/3*d**3 - d + 10 + 3/2*d**2. Let z(c) = 1. Let f(w) = -3*a(w) - 3*z(w). Find j, given
{ "pile_set_name": "DM Mathematics" }
w be t/((-18)/(-5) - 4) - -5. What is w rounded to the nearest 1000? -1000 Suppose -111823 = -14*z + 155563. What is z rounded to the nearest one hundred? 19100 Let z(d) = 3091*d - 2. Let m = -48 - -70. Let c be z(m). Suppose j - c = 5*j. Round j to the nearest ten thousand. -20000 Let y = 134 + 314. Let a = y + -495.4. Round a to the nearest integer. -47 Let u = 86.57 - 86.57199. Round u to three dps. -0.002 Let g = 4181 - 4182.771. What is g rounded to 1 dp? -1.8 Let z = -0.130602 - -409.646602. Let i = z + -410. What is i rounded to 1 decimal place? -0.5 Let w = 0.389 - 0.38355. What is w rounded to three decimal places? 0.005 Let z = 0.217 - -2.153. Let r = -1.006 + z. What is r rounded to one dp? 1.4 Let c(u) = u**3 + 46*u**2 + 54*u - 55. Let m be c(-59). Round m to the nearest 100. -48500 Suppose -581399998 = -4*l - 2*d, -8*l = -7*l - d - 145350001. Suppose -444*t + 429*t = l. Round t to the nearest 1000000. -10000000 Let h = 20.86 - 21. Let a = 0.58 - h. Let b = a - 0.71999423. What is b rounded to 6 decimal places? 0.000006 Let y = -0.029239 - -0.004098. What is y rounded to three dps? -0.025 Let f(m) = 54*m - 31090*m**3 + 10280*m**3 - m**2 + 20 - 58*m + 0*m**2. Let r be f(6). What is r rounded to the nearest one hundred thousand? -4500000 Let w = -138 - -144. Let c be 2567552500/28 + w/14. Suppose -4*m = -8701696 - c. What is m rounded to the nearest 1000000? 25000000 Let k = -1.19 + -0.17. Let l = k + 1.35999615. Round l to seven decimal places. -0.0000039 Suppose g + 15 = -5*o, 0 = -5*o + 6 + 9. Suppose -35*n = -30*n + 140980. Let x be 5/(g/n) + 28/42. Round x to the nearest 1000. 5000 Let x = -44827 + 14593. Suppose 7*a - 3*a = -2*z - 11084, 2*a = -8. Let o = x - z. Round o to the nearest one thousand. -25000 Let a = 21 - 39. Let v = a + 23.3. Let n = -5.2999746 + v. Round n to six decimal places. 0.000025 Let k = 8268518 - 8268519.8999991. Let f = -2255.9 - -2254. Let r = k - f. What is r rounded to six decimal places? 0.000001 Let l = -253 + 365. Suppose -164000 = -l*t + 108*t. Suppose g - 2*g = t. What is g rounded to the nearest ten thousand? -40000 Let z = -186.72 + 186.83747. Round z to three decimal places. 0.117 Let h = -16007 + 15950.004. Let a = h - -57. Round a to two dps. 0 Let n = 134.36 - -0.64. Let v = 280.604 + -145.77. Let a = n - v. What is a rounded to two decimal places? 0.17 Let y = 244654.59 + -243299. Let o = 1366 - y. Round o to the nearest integer. 10 Let m be 1 - (-390)/10*2/(-6). Let c(s) = 5*s**2 - 7*s - 24. Let d be c(m). Round d to the nearest 100. 800 Let a = -0.0201918 - -436.0770918. Let o = 0.0569 - a. Let w = o + 436.000000551. What is w rounded to 7 dps? 0.0000006 Suppose -26 + 410 = 16*z. Suppose -11*q + z = -3*q. Suppose 546 + 75 = q*g. What is g rounded to the nearest 100? 200 Let v = -792.406 + -9.214. Let b = -795 - v. What is b rounded to one dp? 6.6 Let a = 2065.1 - 2065.09999829. What is a rounded to 5 decimal places? 0 Let x = -354 - -391. Let n = -455 - -492.7. Let f = n - x. Round f to 1 decimal place. 0.7 Let x = 857.09392 + -857. Round x to 2 dps. 0.09 Suppose -112*l - 2*z = -107*l + 5370496, 0 = -5*l + 2*z - 5370504. What is l rounded to the nearest ten thousand? -1070000 Let t = 3100.005765 + -3100. What is t rounded to four dps? 0.0058 Let a = -0.06 - -0.074. Let h = -11669.014036 + 11669. Let m = a + h. Round m to five dps. -0.00004 Let y = 0.75 - -122.25. Let d = y + -20. Let t = -103.00000246 + d. Round t to seven decimal places. -0.0000025 Let t = 0.16874 - -0.46542. What is t rounded to 1 decimal place? 0.6 Let k = -150.53 + 150. Let i = k - -0.52255. What is i rounded to 4 decimal places? -0.0075 Let m = -2.15 - 2.15. Let f = -4.30338 - m. Round f to three dps. -0.003 Let q = -9984 - -9984.00000415. Round q to 7 dps. 0.0000042 Let p be (-881854)/7 - (11 + -14)*(-12)/42. What is p rounded to the nearest one thousand? -126000 Let h(a) = -2*a**2 - 3*a + 36. Let c be h(-5). Let s be 13772/(-33) + -1 + c/3. What is s rounded to the nearest one hundred? -400 Let c = 42.979 + -84.045. Let j = 41 + c. Let o = j - -0.06599704. Round o to 7 dps. -0.000003 Let n = 590.269 + -0.269. Let g = -589.99999222 + n. What is g rounded to 7 decimal places? 0.0000078 Let v(l) = -1963*l + 105. Let f be v(15). Round f to the nearest one thousand. -29000 Let d = 7301878493.99999298 + -7301877631. Let f = -863 + d. Round f to 7 decimal places. -0.000007 Let h = -65.9774 - -67.57. Round h to 1 dp. 1.6 Suppose -839736 = -11*g + 17*g. Let w be g/9 + 2/(-6). Let d = w + 31901. Round d to the nearest 1000. 16000 Let g = 0.004948 + 477.015052. Let m = g - 477. Round m to one decimal place. 0 Let b = 189 - 190. Let p be ((-20360)/50)/(b/125). What is p rounded to the nearest ten thousand? 50000 Let j = -3170379 - -3172046.98557. Let v = 1668 - j. Round v to three dps. 0.014 Let l = -221 - -241.8. Let f = 28 - l. Let z = -7.2000013 + f. Round z to six dps. -0.000001 Let i = -42 - -173. Let b = i - 131.03. What is b rounded to one dp? 0 Let z(c) = -4*c**3 + 17*c**2 + 48*c - 1996. Let d be z(21). What is d rounded to the nearest one thousand? -31000 Let n = -164 - -433. Let z = -269.000000028 + n. Round z to seven decimal places. 0 Let r = -173.4 - -171. Let g = -2.39999738 - r. Round g to seven dps. 0.0000026 Let d be 4/((-16)/6)*-2. Suppose 0 = -2*g + d*t - 0 + 6, -3*g = 5*t + 10. Suppose g = -7*a - a - 4960000. Round a to the nearest one hundred thousand. -600000 Let z = 13753 - 20967. Let t = z + 7214.069872. Let s = t - 0.07. What is s rounded to five dps? -0.00013 Let j = 3.46 - -2266.54. Let z = 2270.1437 - j. Round z to 2 decimal places. 0.14 Let n(s) = -s**3 - 5*s**2 + 19*s + 40. Let w be n(-7). Suppose w*z - 239600002 = -y, -4*z - z + y + 239599998 = 0. Round z to the nearest one million. 48000000 Let u = 48 + -175. Let a = u - -276. Let t = a + 1. Round t to the nearest 100. 200 Let t = -1.171107 + 0.797668. Let r = t - -187.670439. Let n = r + -187. What is n rounded to two decimal places? 0.3 Let r(x) = 31*x**2 + 13*x + 50. Let w be r(15). What is w rounded to the nearest 1000? 7000 Let d = 143056.311 - 69365.778. Let x = d + -73709.5329865. Let t = x - -19. Round t to 6 decimal places. 0.000014 Let p = 101672354 + -167934906. Let z = -66261937.99571 - p. Let w = 614 - z. Round w to four dps. -0.0043 Let t(k) = 6*k - 114. Let h be t(17). Let r be (-4)/(12/9) + (h - -9620015). Round r to the nearest 1000000. 10000000 Let c = -40227515389.819996 + 40227698043. Let i = -182654 + c. Let w = 0.82 + i. What is w rounded to six dps? 0.000004 Let z = 0.75 - 0.889. Let y = -47.861 + z. Let n = y + 46.52. What is n rounded to 1 decimal place? -1.5 Let i be (-1 - 321071)*(-7 + (-10056)/(-8)). Round i to the nearest one million. -401000000 Let m = 0.443 + -198.443. Let z = m - -198.0191. What is z rounded to 2 decimal places? 0.02 Let z = 21333 + 22157. Suppose 3*n = -1221 + 194391. Let m = z - n. Round m to the nearest one thousand. -21000 Let c = 82 + -80.64. Let z = c + -0.72. Let y = z + -0.639. What is y rounded to 3 decimal places? 0.001 Let k = -0.971897 - -0.92655. Let r = 266 + -265.955. Let s = r + k. What is s rounded to 5 decimal places? -0.00035 Let p = -811677.0091 + 811573. Let h = 103.9911 - -0.0089. Let z = h + p. What is z rounded to 3 dps? -0.009 Let n = 6609 + -6609.44688. Let l = -0.4093 - n. Let w = l - 0.038. Round w to 5 dps. -0.00042 Let b = 72 + -27. Let c = b + -67. Let s = 22.00155 + c. What is s rounded to 4 decimal places? 0.0016 Let n = -355.1 - -355.099989528. What is n rounded to 6 decimal places? -0.00001 Let n = 91019881 - 91019879.41982299. Let g = n - 8.88017731. Let h = g - -7.3. What is h rounded to six decimal places? 0 Let h = -5906.000008302 - -5906. What is h rounded to six decimal places? -0.000008 Let y be 6*(-4 + -933 - 4)*1. Let x = -494 + y. What is x rounded to the nearest 1000? -6000 Let v = 21553 - -165832. Suppose -2*j - 6*q + q - v = 0, 374815 = -4*j + 5*q. Round j to the nearest ten thousand. -90000 Let x(v) = 35031*v**2 + 7*v + 48. Let m be x(-6). Let u = -1787422 + m. What is u rounded to the nearest ten thousand? -530000 Let j = -19.132 - 9.549. Let z = j - -42.83. Let m = -14.75 + z. What is m rounded to 1 decimal place? -0.6 Let g be (120424 - 0
{ "pile_set_name": "DM Mathematics" }
the thousands digit of 1423448? 3 What is the millions digit of 9577041? 9 What is the hundreds digit of 7199629? 6 What is the hundreds digit of 13995? 9 What is the tens digit of 3012356? 5 What is the hundreds digit of 3082895? 8 What is the thousands digit of 14474165? 4 What is the thousands digit of 10158216? 8 What is the thousands digit of 290264? 0 What is the ten thousands digit of 3533060? 3 What is the millions digit of 8213457? 8 What is the hundreds digit of 567634? 6 What is the thousands digit of 908942? 8 What is the ten thousands digit of 312845? 1 What is the tens digit of 2212082? 8 What is the ten thousands digit of 261541? 6 What is the tens digit of 501535? 3 What is the ten thousands digit of 440358? 4 What is the hundred thousands digit of 2725636? 7 What is the units digit of 63730? 0 What is the units digit of 2872699? 9 What is the units digit of 7189466? 6 What is the units digit of 2796259? 9 What is the thousands digit of 39405? 9 What is the thousands digit of 1718059? 8 What is the ten thousands digit of 187519? 8 What is the ten thousands digit of 378310? 7 What is the hundreds digit of 308295? 2 What is the thousands digit of 779027? 9 What is the units digit of 2335981? 1 What is the hundred thousands digit of 7364740? 3 What is the hundreds digit of 60827? 8 What is the tens digit of 752112? 1 What is the units digit of 2745068? 8 What is the hundreds digit of 202913? 9 What is the millions digit of 1112389? 1 What is the millions digit of 3867447? 3 What is the thousands digit of 6481885? 1 What is the hundreds digit of 393688? 6 What is the units digit of 391369? 9 What is the units digit of 45463? 3 What is the hundred thousands digit of 1761026? 7 What is the hundred thousands digit of 8457548? 4 What is the millions digit of 1606859? 1 What is the ten thousands digit of 455703? 5 What is the thousands digit of 518224? 8 What is the hundreds digit of 4440835? 8 What is the ten thousands digit of 55543? 5 What is the hundreds digit of 1099368? 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7 What is the tens digit of 1061475? 7 What is the ten thousands digit of 1216379? 1 What is the units digit of 167047? 7 What is the hundred thousands digit of 701716? 7 What is the tens digit of 5078286? 8 What is the ten thousands digit of 6857068? 5 What is the hundreds digit of 1814991? 9 What is the thousands digit of 3139676? 9 What is the millions digit of 2234624? 2 What is the units digit of 1088985? 5 What is the thousands digit of 830848? 0 What is the thousands digit of 19808944? 8 What is the units digit of 9177310? 0 What is the millions digit of 6128316? 6 What is the hundreds digit of 14005478? 4 What is the hundreds digit of 340069? 0 What is the units digit of 288102? 2 What is the hundreds digit of 634911? 9 What is the ten thousands digit of 9826466? 2 What is the tens digit of 4755741? 4 What is the ten thousands digit of 9652231? 5 What is the tens digit of 452416? 1 What is the thousands digit of 15440409? 0 What is the hundreds digit of 2693195? 1 What is the hundred thousands digit of 253918? 2 What is the hundred thousands digit of 17503981? 5 What is the millions digit of 4234204? 4 What is the hundred thousands digit of 1325439? 3 What is the tens digit of 2863220? 2 What is the hundred thousands digit of 928394? 9 What is the hundreds digit of 208054? 0 What is the ten thousands digit of 1968302? 6 What is the hundred thousands digit of 677261? 6 What is the thousands digit of 195742? 5 What is the thousands digit of 3156439? 6 What is the hundreds digit of 612702? 7 What is the ten thousands digit of 164586? 6 What is the thousands digit of 326542? 6 What is the hundred thousands digit of 2809995? 8 What is the hundreds digit of 1926403? 4 What is the hundreds digit of 2662025? 0 What is the ten thousands digit of 1614730? 1 What is the tens digit of 4052551? 5 What is the thousands digit of 91024? 1 What is the millions digit of 1452269? 1 What is the hundreds digit of 83613? 6 What is the units digit of 574307? 7 What is the ten thousands digit of 13324164? 2 What is the ten thousands digit of 5674609? 7 What is the ten thousands digit of 903251? 0 What is the thousands digit of 11328638? 8 What is the tens digit of 19623132? 3 What is the hundred thousands digit of 34544279? 5 What is the tens digit of 676732? 3 What is the tens digit of 823018? 1 What is the hundred thousands digit of 415129? 4 What is the hundred thousands digit of 1805299? 8 What is the tens digit of 233118? 1 What is the thousands digit of 713069? 3 What is the hundreds digit of 23633? 6 What is the hundreds digit of 468653? 6 What is the ten thousands digit of 10973? 1 What is the tens digit of 4673435? 3 What is the millions digit of 6247370? 6 What is the hundred thousands digit of 27455919? 4 What is the tens digit of 2989632? 3 What is the millions digit of 1239150? 1 What is the tens digit of 7985351? 5 What is the thousands digit of 5375141? 5 What is the hundred thousands digit of 833034? 8 What is the hundred thousands digit of 219590? 2 What is the ten thousands digit of 3843427? 4 What is the thousands digit of 163715? 3 What is the hundreds digit of 25903256? 2 What is the hundreds digit of 366716? 7 What is the units digit of 3439090? 0 What is the hundred thousands digit of 551476? 5 What is the ten thousands digit of 341944? 4 What is the hundreds digit of 366009? 0 What is the units digit of 152161? 1 What is the hundred thousands digit of 8394599? 3 What is the units digit of 372828? 8 What is the units digit of 6705333? 3 What is the units digit of 62059? 9 What is the ten thousands digit of 3351486? 5 What is the thousands digit of 296400? 6 What is the tens digit of 2410220? 2 What is the hundreds digit of 275403? 4 What is the thousands digit of 6119755? 9 What is the hundred thousands digit of 455017? 4 What is the hundred thousands digit of 222756? 2 What is the hundred thousands digit of 2045908? 0 What is the hundreds digit of 491171? 1 What is the units digit of 3302253? 3 What is the hundreds digit of 217089? 0 What is the hundred thousands digit of 3156344? 1 What is the units digit of 5917859? 9 What is
{ "pile_set_name": "DM Mathematics" }
factors of 178604? 2, 44651 What are the prime factors of 8533? 7, 23, 53 What are the prime factors of 519953? 7, 74279 What are the prime factors of 13563474? 2, 3, 29, 77951 List the prime factors of 5083748. 2, 17, 74761 What are the prime factors of 5144071? 331, 15541 List the prime factors of 7809574. 2, 43, 71, 1279 List the prime factors of 7750882. 2, 97, 39953 List the prime factors of 1572736. 2, 11, 1117 What are the prime factors of 1523598? 2, 3, 197, 1289 List the prime factors of 2132925. 3, 5, 28439 List the prime factors of 260072. 2, 19, 29, 59 What are the prime factors of 19478620? 2, 5, 7, 139133 What are the prime factors of 135319? 135319 What are the prime factors of 6152052? 2, 3, 512671 List the prime factors of 2612153. 31, 84263 List the prime factors of 735986. 2, 71, 73 What are the prime factors of 1343251? 7, 13, 29, 509 List the prime factors of 6620080. 2, 5, 83, 997 What are the prime factors of 1314722? 2, 657361 What are the prime factors of 3080517? 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2, 3, 5, 47, 131 List the prime factors of 9328740. 2, 3, 5, 181, 859 List the prime factors of 13386446. 2, 17, 47, 8377 List the prime factors of 1229488. 2, 13, 23, 257 What are the prime factors of 991447? 991447 What are the prime factors of 5378910? 2, 3, 5, 193, 929 List the prime factors of 20283220. 2, 5, 1014161 What are the prime factors of 14028008? 2, 593, 2957 What are the prime factors of 171526? 2, 139, 617 List the prime factors of 2093856. 2, 3, 17, 1283 What are the prime factors of 493163? 11, 107, 419 List the prime factors of 32056528. 2, 7, 193, 1483 List the prime factors of 2727524. 2, 23, 1289 What are the prime factors of 4526501? 7, 646643 What are the prime factors of 65725? 5, 11, 239 What are the prime factors of 19655641? 19655641 What are the prime factors of 284648? 2, 7, 13, 17, 23 List the prime factors of 311930. 2, 5, 31193 List the prime factors of 443185. 5, 151, 587 List the prime factors of 1356. 2, 3, 113 List the prime factors of 256729. 11, 23339 What are the prime factors of 615340? 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2, 3, 7, 23, 6073 What are the prime factors of 15699114? 2, 3, 872173 List the prime factors of 7783673. 19, 89, 4603 List the prime factors of 223605. 3, 5, 4969 What are the prime factors of 490742? 2, 7, 35053 What are the prime factors of 6040336? 2, 377521 List the prime factors of 1846481. 7, 13, 103, 197 List the prime factors of 1132910. 2, 5, 193, 587 What are the prime factors of 388354? 2, 277, 701 List the prime factors of 3318. 2, 3, 7, 79 List the prime factors of 8472568. 2, 13, 41, 1987 List the prime factors of 1065743. 7, 152249 List the prime factors of 1240784. 2, 77549 What are the prime factors of 120426? 2, 3, 20071 List the prime factors of 92564. 2, 73, 317 List the prime factors of 16363754. 2, 11, 281, 2647 What are the prime factors of 6387470? 2, 5, 271, 2357 What are the prime factors of 1340151? 3, 446717 What are the prime factors of 20441758? 2, 19, 537941 What are the prime factors of 21103? 47, 449 List the prime factors of 22045747. 37, 67, 8893 List the prime factors of 1369679. 43, 53, 601 What are the prime factors of 2868656? 2, 7, 3659 List the prime factors of 394093. 7, 56299 What are the prime factors of 9284136? 2, 3, 386839 List the prime factors of 1120934. 2, 137, 4091 List the prime factors of 230423. 31, 7433 List the prime factors of 33146704. 2, 2071669 What are the prime factors of 221504? 2, 3461 List the prime factors of 25826710. 2, 5, 7, 13, 101, 281 List the prime factors of 115748. 2, 19, 1523 List the prime factors of 19459354. 2, 9729677 List the prime factors of 36546249. 3, 131, 92993 What are the prime factors of 4008478? 2, 383, 5233 List the prime factors of 5392640. 2, 5, 11, 383 List the prime factors of 3813947. 1171, 3257 What are the prime factors of 1959990
{ "pile_set_name": "DM Mathematics" }
3*q = 2*q + 10, -5*a - 3*q - 30 = f for a. -3 Suppose -6*s = -2*s - 20. Let n = -2 + s. Solve 20 = -0*b - 2*b - 4*i, 5*b - n*i - 15 = 0 for b. 0 Suppose 20 = -i - 3*k, 3*i + 4 = 4*k + k. Let g be (-20)/i*(3 + -1). Solve 0 = 2*c - 2*y - 2*y - 12, g*c = -2*y - 18 for c. -2 Suppose 0 = 2*o - 4*o + 28. Suppose 2*v - 52 = -0*v. Suppose 6 = -5*f + v. Solve f*g + 21 + o = 3*y, 5*y = -g + 20 for g. -5 Suppose -p + 0*p - 2 = -5*y, -10 = -2*y + 5*p. Let d be (-5 + y)/(0 - -1). Let m = d + 6. Solve -2*g - 3*b = -19, g - 3*g + 3*b = -m for g. 5 Suppose -q + 2*y + 13 = 6*y, 0 = 2*q + 3*y - 16. Suppose 0 = q*d + 5. Let f(s) = -3*s. Let p be f(d). Solve -l + p = 2*l + 2*v, -5*l - 5*v = 0 for l. 3 Suppose 0 = -s - 0 + 2. Suppose 0 = -s*u - 3*c - 2*c + 42, 0 = -5*u + 5*c + 70. Solve 0 = 5*q + w - 10, q + 5*w + 6 = -u for q. 3 Let c = -41 + 43. Solve -2*z = -3*s, -z = c*s + 4 + 3 for s. -2 Let u = 11 + -7. Suppose 32 - 14 = 2*p. Solve a - p = -h, -h - u*h + 4*a = 0 for h. 4 Suppose 0 = s - 4 - 9. Solve -y + 0*y = 3*u + 10, -s = 5*u - 2*y for u. -3 Let n be -1 + (0 - -5) + 0. Suppose -4*d = d. Suppose -2*l - 4 - 2 = d, 0 = -2*k - 5*l + 35. Solve 0 = c - n*u + k, -30 = 5*c - 2*u + 5 for c. -5 Let s be ((-12)/(-30))/((-2)/(-25)). Solve -5*d + 2*d - 22 = -s*h, 3*d = -5*h + 28 for d. 1 Let c = 5 + -2. Let o(p) be the third derivative of -p**5/60 + p**4/6 - p**3/2 + 2*p**2. Let b be o(c). Solve 0 = -2*l - 2*v - 2, 3*v = -b*v + 6 for l. -3 Suppose 0*x + 45 = -5*x. Let f = x - -15. Suppose -s = -f*s + 35. Solve 2*z = g - 2*g - 5, -3*g = -5*z - s for z. -2 Suppose 3*t = -3 + 15. Suppose 2*f = 7*f - 5. Let b = f - -1. Solve 0*m = -b*m - 4*y + 18, t*m - 4*y = -24 for m. -1 Let v = -168 - -171. Suppose -p + 16 = -2*g, 3*p - 20 = 2*p + 3*g. Let h = p + -3. Solve v*d - 4 - 3 = h*x, -3*d = 3*x + 9 for x. -2 Let u = 11 + -3. Let k = u - 13. Let d = 8 + k. Solve -h - 2 = -2*g, -2*g - g + d = 0 for h. 0 Let l be (0*4/(-16))/(-2). Solve -2*n - 16 = -5*r, -2*r + 2*n - n + 7 = l for r. 2 Suppose 4 = 3*n + 5*v - 5, 4*n - 12 = -v. Solve n*b = -2*k - 2*b - 29, 5*k - b + 5 = 0 for k. -2 Suppose 0*o + 4*o + 12 = 4*w, 4*w = 5*o + 13. Solve -5*d = 3*b + 17, -w*d - 3*d = -2*b - 3 for b. -4 Suppose -3*r = -15 + 3. Suppose r = 3*z - 2. Solve -2*l - 6 = 0, 0*l - z = 2*q - 2*l for q. -4 Suppose 4*j = 4*a + 24, -a + 2*a + 8 = 2*j. Suppose -14 = -n - 8. Solve 0 = -4*u - 4*q - 24, -3*u + n*u + 17 = -j*q for u. -5 Let p(u) = u**3 - 6*u**2 - u - 5. Let v be p(6). Let n(a) = a + 26. Let b be n(-6). Let q = b + v. Solve 0 = -3*f + 4*c - 7, 2*f - 2 + q = 5*c for f. -1 Let c = 4 - -20. Let q be c/4 + (-1)/1. Solve -4*v = 8, 3*u + 0*u = 5*v - q for u. -5 Let l = -1 + 3. Solve -4*t - 14 = l*i - 2*t, 0 = i + 4*t + 13 for i. -5 Let s be (-72)/(-18)*(-10)/(-8). Solve o = 4*r + 13, s*o = -4*r + 20 - 3 for r. -2 Suppose 0*t + 4 = t. Suppose -4*p + p + 57 = 3*v, 5*p - 71 = 3*v. Suppose -3*z + 8*z = 115. Solve -5*h + z = 4*y + 7, h = -t*y + p for h. 0 Let q(f) = f**2 - 5*f - 20. Let t be q(10). Solve -3*r - 8 = -4*u - t, -8 = -4*r for u. -4 Let o = -11 + 3. Let m be (9/6)/((-6)/o). Solve -i - j = m*j + 11, 2*i - 3*j - 5 = 0 for i. -2 Let l(i) be the third derivative of i**4/24 - 2*i**3/3 - 5*i**2. Let x be l(4). Solve 2*t + m + 19 = -2*t, -m - 3 = x for t. -4 Let s be -3 - 2*(3 - 5). Suppose 4*k = 79 + s. Solve 2*g = 4*j + k, -5 = 2*j + 1 for g. 4 Let k(d) = d**2 + 0*d + 12 - d**3 + 2*d - d. Let f be k(0). Let g be (-1)/(1 - 15/f). Solve -2*p = x - p - 9, -g*x + 4 = -4*p for x. 5 Let b = 11 + 2. Suppose -3*n - 3 = -3*k, 3*n - 7*k + b = -2*k. Solve 0 = 3*g + 5*m - 2*m + 12, -m = -n*g - 16 for g. -4 Let q(a) = a**3 + 4*a**2 + a + 9. Let s be q(-4). Solve 0*r + 3*g + s = r, -3*g = r + 1 for r. 2 Let t(r) = -r**2 - 5*r - 3. Let c be t(-3). Solve -c*h + 0*z = -3*z - 18, -h - z = 2 for h. 2 Let l(d) = 2 - 2*d**2 + d**2 + d + 0*d**2. Let m be l(-2). Let w be 4/6*(-30)/m. Solve -4*y + 0*f + 12 = -2*f, -6 = -4*y + w*f for y. 4 Let g be 3/(-3) - -1 - 3. Let q = 0 - g. Solve -4*p = -6*k + 4*k - 18, -q*p = 2*k - 17 for k. 1 Let a(z) = 2*z - 2. Let h = -6 - -8. Let d be a(h). Solve 0 = 5*l + 5, -5 = -g + l - d for g. 2 Let i = -11 - -13. Solve 0 = i*o + 3*o, -3*w - 3*o - 15 = 0 for w. -5 Let b be ((-4)/5)/(2/(-5)). Suppose 2 = 2*j - 4*m, -b = -2*m + m. Suppose 4 = j*g - 0*g - h, 5*g = -2*h - 8. Solve -5*d = f + 9, 7 = -f - g*f - 3*d for f. -4 Let w = 122 + -120. Solve -4*i + 8 = -s, w*i = i + 2 for s. 0 Let s = 17 - 1. Solve 10 = -3*k + 3*u - 7*u, -2*k - 5*u = s for k. 2 Suppose 0 = 3*z - h - 6 - 4, 0 = 2*z + 5*h - 18. Suppose 23 = 4*g + 3. Let i(u) = u + 11. Let m be i(-8). Solve -g*v - 4 = -4*p - m, 0 = -3*p - z*v - 7 for p. -1 Let z = 33 - 30. Solve -4*c + z*f + 28 = 0, -3*c - 4*f - f = 8 for c. 4 Let d(s) = 17*s + 1. Let f(m) = -8*m - 1. Let a(l) = 3*d(l) + 7*f(l). Let o be a(-2). Solve 5*r - 2*r + o = 3*y, 3*y + 2*r - 6 = 0 for y. 2 Let u(s) = -5 + 4 + s**2 + 4 - 2. Let y be u(0). Solve -5*i = -4*j - y, -3*i + 2*i + 2*j = -5 for i. -3 Let n(g) = g - 8. Let j be n(12). Solve 10 = 3*a + 3*t + j, -2*t = 0 for a. 2 Let r = 18 + -8. Suppose t - 4 = -a - 0*t, 2*a - 12 = 2*t. Solve k + k = -5*p + r, -k = a for p. 4 Let w(q) = q**3 - 2*q**2 + 10*q - 18. Let u be w(2). Solve b = -u*v - 8 - 3, 2*b + 2 = 0 for v. -5 Let t(s) = -s**2 - 5*s - 5. Let b be t(-5). Let o be (-2)/b - (-12)/20. Solve 2*j + 6 - o = -k, -20 = 5*j + k for j. -5 Suppose 3*v + 4*f = 7, v - 2*f - 29 = -4*v. Solve -25 = 5*w, v*w + 13 + 10 = -2*t for t. 1 Let x = -166 + 182. Solve -f = -4*h - 0*f + 15, 3*h + 4*f - x = 0 for h. 4 Suppose 0 = -4*f + 5 + 75. Let g be (1 + 3)*65/f. Solve 4*i - x - g = -1, 3*x = -3*i - 6 for i. 2 Suppose 75 = -f + 6*f. Solve -4*l + z - 6 + 1 = 0, 2*l + 3*z = f for l. 0 Let t = 16 + -11. Let r(w) = -w**3 + w**2 + w + 2. Let n be r(2). Suppose n = -5*j - 0*j + 10. Solve t*g = j*d - 7, g - 5 + 3 = -3*d for d. 1 Let j = 6 - 5. Let s(i) = 0 + i**2 - i**3 + 6*i**3 - 1. Let b be s(j). Solve -3*p - b*w - 1 = -3, -3 = -2*p - 5*w for p. -1 Suppose 0 = g + 1, n + 3*g - 5 = 3*n. Let z = n - -4. Solve 0 = w + 5*u + 9, 3*w + 2*u + z*u + 1 = 0 for w. 1 Suppose -5*y = 3*d - 19, 3*y = -y - 3*d + 17. Solve 0*r + 4 = 2*t + y*r, -3*r + 7 = 4*t for t. 1 Suppose 249 = -3*v - 147. Let w be (-5)/(v/32 + 4). Solve -7*x + 2*x + w = -5*f, -f = 2*x - 1 for f. -5 Let m = 44 - 41. Solve 10 = 5*c - m*o + o, -5*c - 20 = 4*o for c. 0 Let p be 24/10 + (-4)/10. Solve s + 4*o = -s - 18, p*s - 3*o = 3 for s. -3 Suppose -25 = -k + 5*b, 3*k - b = -0*b + 117. Solve 4*v + 5*r - k = r, -5*r + 40 = 3*v for v. 5 Suppose -4*a - 2 = -22. Suppose 3*m - 22 = -b, -a*m + 26 = 3*b - 2*b. Solve 3*i = -2*n + 4, -i - b + 6 = -5*n for n. 2 Suppose 2*m + 22 = -g - g, -g - 31 = -4*m. Let v be 6/g + (-186)/(-15). Solve -2*h - 3*a + 1 = -1, 0 = -4*h - 2*a + v for h. 4 Let v(w) = -1. Let g(a) = -6*a - 1. Let p(b) = -g(b) + 2*v(b). Let y be p(1). Let j(k) = k**2 - 4. Let l be j(3). Solve -l*q + y = o, q + q = -o - 1 for q. 2 Let y(s) = s**2 - 3*s + 4. Let i be y(4). Let u = -6 + i. Solve 0 = -5*p - 3*q + 3 - 17, 0 = -3*p - 5*q - u for p. -4 Let g be 0/(((-2)/6)/((-7)/21)). Solve 5*k + y = 4, g = -k + 4*k + 5*y + 2 for k. 1 Let j(o) = -o**2 - 14*o - 17. Let a be j(-12). Solve -x = 2*l + l + a, 0 = -2*x - l + 6 for x. 5 Let x be -1 - 3*4/(-6). Let k = x - 4. Let i(t) = t**3 + 4*t**2 + t - 2. Let u be i(k). Solve -3*q + 16 = -3*m + 4, 0 = u*q + 5*m + 20 for q. 0 Suppose 4*i = -n + 19, -5*i - n + 10 = -13. Solve 4*q - 4 = i*f, -2*q + 5 = -f - 0*q for f. 3 Let s(a) = -a + 1. Let m(c) = -2*c + 6. Let w(k) = m(k) - 3*s(k). Let t be ((0/(-1))/(-1))/1. Let d be w(t). Solve -19 = 4*h - d*i + 6, -2*i + 18 = -3*h for h. -4 Let x be (-2)/6 + 26/6. Suppose 0 = -11*l - 30 + 52. Solve l*b - 3*v = -v + 16, -x*b - 4*v = 8 for b. 3 Suppose -1 - 5 = -3*j. Suppose -l + z - 7 = -2*z, -2*z + j = -2*l. Solve -26 = -4*v + 2*q, -q = 2*v + q + l for v. 4 Let y(z) = -z**3 - 7*z**2 + 16*z - 13. Let d be y(-9). Solve 15 = w + 5*t, -4*w = -2*w - d*t + 30 for w. -5 Let c(j) = 2*j + 6. Let q be c(-2). Solve -3*l + 2 = q*p - 2, -3*p + 6 = -2*l for l. 0 Let d = -36 - -27. Let v be (-39)/d + 10/15. Solve 4*j - 24 = 4*o, v*j - 12 = 2*j + o for j. 3 Let r(l) = -12*l. Let p be r(-1). Solve -2*m + 4*i = p, -10 = -5*i + 10 for m
{ "pile_set_name": "DM Mathematics" }
*2 + 0*i**2 + (4 + i - 4)*(0 - i + 0). 6*i**2 Expand (2 - 3 - 5*s + 8*s)*(6 + 8 - 6). 24*s - 8 Expand (4*d + 2 - 2)*(1 - 1 + 2)*(-8*d**2 + 8*d**2 - d**3) + d**4 - 3*d**4 + 3*d**4. -7*d**4 Expand (4 - 3 + 1)*(1 - 1 - 2*z)*(1 + 4 - 4 + (0 + 0 + 2)*(-3 + 4 + 0) - 10 + 17 - 2). -32*z Expand -37*d**5 - 237*d**5 + 34*d**5 + 0*d**5 + 0*d**5 - d**5 + (3*d**3 - 3*d**3 - d**3)*(-4*d**2 + 5*d**2 + d**2). -243*d**5 Expand (-15*a - 13*a + 8*a)*(3 - 7 + 2). 40*a Expand (-3*f - 4*f**2 + 3*f)*(-4 - 2 + 1) + (3 - 2 + 1 - f)*(3*f - 2*f - 3*f). 22*f**2 - 4*f Expand (4*g + 4*g**4 + 0*g - 3*g**4)*(-3 + 3 - g)*(-3 + 4 - 3) + 10*g**5 - 16*g**5 + 13*g**5 + (4*g**4 + 0*g**4 - 5*g**4)*(0*g - 5*g - 2*g). 16*g**5 + 8*g**2 Expand (2*z - 44650 + 22336 + 22325 - 8*z**2)*(2*z - 2 + 2). -16*z**3 + 4*z**2 + 22*z Expand (-8 - 5 + 10)*(2*j**3 - 2 + 2). -6*j**3 Expand (2*z**2 + 3 - 3)*(0*z + 0*z + z**2) + z**2 - z**2 + 2*z**4 + (3*z**2 - 5*z**2 - 3*z**2)*(2*z**2 + 5*z**2 - 5*z**2). -6*z**4 Expand (-2*w**2 - 1 + 1)*(0 - 31*w**2 + 0) - 2 + w**4 - 1 + 2 + (-4*w**3 + 0*w**3 + 3*w**3)*(-w - 3 + 3). 64*w**4 - 1 Expand (-2*m**4 + 65*m**4 + 110*m**4)*(3 - 1 - 3)*(1 - 1 + 2). -346*m**4 Expand 10*l - 85*l - 76*l + 0 - 2*l + 0 + (-3*l + 4*l + 0*l)*(0 - 4 + 3). -154*l Expand (6 - 1 + 3 - 3 + 9 + 5 + 1 - 3 + 1 + 3 - 7 + 3 + (0 + 2 + 0)*(3 + 3 - 4))*(4 - 4 + b + (-1 + 2 - 3)*(2*b - 1 + 1)) + 0*b - b + 0*b. -64*b Expand (-4*u + 4*u + u)*(2 + 1 - 4)*(0*u + 7*u - 3*u) - 3*u**2 - 4 + 4. -7*u**2 Expand (-x**3 + x**3 + 2*x**3)*(644 - 644 + 38*x) + (x - x + x**3)*(x - 3 + 3) - 4*x**4 + 2*x**3 + 3*x**4 + 3*x**4 - 35*x**3 + 35*x**3 + 13*x**4. 92*x**4 + 2*x**3 Expand 0*y**5 - 3*y**5 + 0*y**5 + (-4*y - y**2 + 4*y)*(3*y**3 - 12*y**3 - 4*y**3). 10*y**5 Expand 5*f**2 + 0*f**2 - 4*f**2 - 8*f**2 + 0*f**2 + f**2 + (f + 0 + 0)*(f - 2 + 2) - 1 + 4 - 7*f**2 - 2. -12*f**2 + 1 Expand (90557*r**2 - r - 90047*r**2 + r)*(-r + r + r). 510*r**3 Expand (-2*a**2 + 0*a**2 + 0*a**2)*(-248*a - 17122 + 17122)*(6 - 2 - 3). 496*a**3 Expand -3 + 3 - 2*z**5 + (7*z + 0*z - 8*z + 2)*(-3*z**4 + 2*z**4 + 3*z**4). -4*z**5 + 4*z**4 Expand (18*p - 18*p - 10*p**2)*(-387 + 779 - 379). -130*p**2 Expand (2 - 2 - 2*h)*(-5*h + h + h) - 22*h**2 - 1 + 0*h**2 - h + 4*h**2. -12*h**2 - h - 1 Expand (-200 - 227 + 80)*(-2*b + 0 + 0) + 0*b + 0*b - 2*b + (0 - 2 + 4)*(-3*b + 6*b - 4*b). 690*b Expand (21*l - 155 - 2*l**2 + 155)*((2*l**2 + 0*l + 0*l)*(-3*l + 2*l + 0*l) - 2*l**3 + 5 - 5). 8*l**5 - 84*l**4 Expand (-9 + f + 9)*(48*f**3 + 47*f**3 - 125*f**3). -30*f**4 Expand -3*q**4 + 7*q**4 + 3*q**4 + (-14 - 13*q**4 + 14)*(-3 + 2 + 0). 20*q**4 Expand (-4 + 2 + 3)*(-22 - 27 - 101 + f). f - 150 Expand (6*w + 5 - 5)*(-4 + 3 - 1)*(0 - 2 + 3)*(4*w - 3*w - 4*w)*(2*w**2 + 4*w**2 + 5 - 7*w**2). -36*w**4 + 180*w**2 Expand (-3*f - 9 - 15 + 23)*(38 - 38 - 48*f). 144*f**2 + 48*f Expand -57*l**2 - 15*l**3 + 3*l**3 + 2 + 53*l**2 + (2 - 2 + 1)*(0*l**3 - 3*l**3 + 2*l**3). -13*l**3 - 4*l**2 + 2 Expand (0*h**2 + 0*h**2 - 2*h**3)*(5*h**2 + 15 - 15 + (-h - 2*h**2 + h)*(2 - 1 - 2)). -14*h**5 Expand 0 + 0 - l**2 + (0*l + 0*l - 3*l)*(l - 4 + 4) + 53*l**2 - 170*l**2 + 69*l**2. -52*l**2 Expand ((0 + 3 - 1)*(-6 + 3 + 1) + (-1 + 1 - 2)*(-1 + 1 + 2))*(-b**2 + 3*b**2 - 6*b**2). 32*b**2 Expand (-1 + 0 + 3)*(2 - 2 - z**2)*(-2 - 47 - 25). 148*z**2 Expand (2*b - 4*b + 3*b)*(11*b**2 + 39 - 39)*(-b**2 - 2*b**2 + 5*b**2) + 14*b**4 - 8*b**5 - 14*b**4. 14*b**5 Expand -8*k**5 - 15*k + 15*k + (k**2 - 4*k + 4*k)*(5*k**2 - 4*k**3 - 5*k**2). -12*k**5 Expand (-2 + 3 + 1)*(48*k - 8*k + 25*k)*(-3*k + k + 5*k). 390*k**2 Expand (17 - u**2 - 17)*(u - 39*u**3 + 3*u + 30*u**3). 9*u**5 - 4*u**3 Expand (3 - 3 + 2*s)*(3*s + s - 6*s + (3*s - 3*s - s)*(-1 + 3 - 3) + 4*s - 6*s - s)*(-15 - 2 + 180). -1304*s**2 Expand (-1 + 1 - 2*i**4)*(-408 - 64 + 87). 770*i**4 Expand -1 + 1 + 3*r + (1 + 1 - 1)*(-3*r - r + 6*r) - 2*r - r + 5*r - r - r + 3*r + (-3*r - r + 2*r)*(3 - 5 + 3) - 4*r + 0*r + 8*r. 10*r Expand -1 + o**2 + 1 + (3*o - 4*o - 2*o)*(3 - 3 + 15*o) + 0*o**2 - o**2 + 3*o**2 + (0 + 1 + 0)*(-5*o + 5*o - 2*o**2) - o**2 + o**2 - o**2. -45*o**2 Expand (28*s - 2*s + 35*s)*(5 - 3 + 1)*(s - s + 2*s**4). 366*s**5 Expand v**3 - 2*v**3 + 0*v**3 + (1 - v - 1)*(3*v**2 - 4*v**2 + 2*v**2) + 238*v**2 - 5*v**3 - 13*v + 232*v**2 - 469*v**2. -7*v**3 + v**2 - 13*v Expand -1128796 + 1128796 - 1265*s + (-1 + 0 + 0)*(-s + s + 2*s). -1267*s Expand (-1 + 1 - 2 + (2 - 5 + 2)*(5 + 3 - 5) + 1 + 3 + 0)*(-12 - 3*k**2 + 12). 3*k**2 Expand ((17*x**3 - x**3 + 8*x**3)*(0 - 3 + 1) - 4*x**3 + 0*x**3 + 2*x**3)*(0 + 2 + 0 + (-1 + 5 - 1)*(-2 + 2 - 3)). 350*x**3 Expand (1 + l - 1)*(9*l - 13*l**2 - 9*l) + 11*l**3 + 2*l**3 - 2*l**3. -2*l**3 Expand 4*k**3 + k**3 - 4*k**3 + (104*k + 196*k**2 - 104*k)*(-k + 0*k - k). -391*k**3 Expand (-8 + 13 + 7 + 1 - 2 + 0 + (-1 - 1 + 4)*(-2 - 2 + 3))*(b**4 + 2*b - 2*b). 9*b**4 Expand (64 - 39 + 96 + x - 5*x + x + 2*x + (2*x - 3 + 3)*(-1 + 2 + 1))*(-2*x - 4*x + 5*x). -3*x**2 - 121*x Expand (-i - i + 0*i)*(119*i - 52 - 47 + 101). -238*i**2 - 4*i Expand 5*h**5 - 5*h**5 + h**5 + (8994*h - 8996*h + 88 + 177)*(-3*h**4 + 4*h**4 + 2*h**4). -5*h**5 + 795*h**4 Expand 0*d + 10*d + d - d + (-1 + 5 - 3)*(-3 + 3 - 2*d). 8*d Expand (0*d**2 + 0*d**4 - 2*d**4 + 6*d**2 + d**3)*((0 - 2 + 0)*(-2 - 1 + 2) + 3 + 4 - 5 - 2 + 4 - 3). -6*d**4 + 3*d**3 + 18*d**2 Expand -8*t - t + 3*t + (0*t - 23 - 9*t + 7*t)*(-1 - 2 + 2). -4*t + 23 Expand (-2 + 3 + 6)*(5 - 4 + 2)*(4 - 2 + 0)*(-20*i - 10*i**2 + 20*i). -420*i**2 Expand 2*s**2 - 3*s**2 + 3*s**2 - 2*s**2 - 3*s**2 - 5*s**2 + (7*s**2 - 3*s**2 - 3*s**2)*(5 - 2 - 4). -9*s**2 Expand (0 + 1 + 2)*(4*s + 2*s - 3*s)*(4 - 6 + 1) - 1 + 1 + 6*s. -3*s Expand (4*k**2 - 5*k**2 + 4*k**2)*(5*k - 23*k - 9*k). -81*k**3 Expand (-2 + v + 2)*(-14*v**4 - 2 + 24 - 18 - 2*v). -14*v**5 - 2*v**2 + 4*v Expand (u + 4*u - 10*u)*(3*u - 2*u - 3*u)*(6*u**2 - 2*u**2 + 0*u**2). 40*u**4 Expand (-y**3 + 3*y**3 - y**3)*(5*y - y - 2*y) + 13*y**4 + 3*y**2 - 11*y**4 - 6 + 0. 4*y**4 + 3*y**2 - 6 Expand -o**3 + 69 - 69 + 30*o**5 + (-2*o**3 + 2*o**3 - 2*o**4)*(0*o - 2*o + 4*o). 26*o**5 - o**3 Expand -6*l**2 - 43*l**2 - 26*l**2 + (2 - 2 + 2*l)*(-2*l + 4 - 4) + l**2 - 1 + 1 + (-1 + 2 + 1)*(-l**2 + 0*l**2 + 0*l**2) + 0*l**2 + l**2 - 4*l**2. -83*l**2 Expand (7*v + 1 - 1)*(-2*v**3 + v**4 + 2*v**3) + 54*v**5 + 19*v**5 + 20*v**5 + 18*v**5. 118*v**5 Expand 41*a - 46*a + 26*a - 1 + 3*a + 1 + (-4*a - 2*a + 4*a)*(6 - 2 - 5). 26*a Expand (-10 - 29 - 16)*(4*d - 3*d - 2*d)*(2*d + 0*d + 0*d). 110*d**2 Expand (-12*f + 5405 - 5405)*(-5*f**2 + 3*f**2 + 3*f**2). -12*f**3 Expand (-3*y**2 + 3*y**2 - 2*y**2)*(-y**3 - 3*y**3 + 3*y**3 + 38*y**3 - 39*y**3 + 67*y**3 + (y**3 + 2*y - 2*y)*(0 + 2 - 4)). -126*y**5 Expand 2*d**5 - d**5 + 0*d**5 + (8*d**4 + 39*d**3 - 39*d**3)*(-d - d + 3*d) - 2*d**5 + 0*d + 0*d. 7*d**5 Expand 2*q**2 + 25*q**2 + 9*q**2 + (-2*q**2 + 1 - 6 + 3)*(2 + 1 + 5). 20*q**2 - 16 Expand (0*y**2 + 0*y**2 - y**2)*(0 + 0 - 2)*(2*y + 4*y + 16*y). 44*y**3 Expand 0*y**3 - 2*y**3 + y**3 - 35*y + y**2 + 0*y**2 + 6*y**3 + 33*y + (-3*y**2 + 2*y**2 - y**2)*(2*y + 0*y + 0*y) + 0*y**3 + y**3 + y**3. 3*y**3 + y**2 - 2*y Expand (s + 16*s - 2*s)*(2 + 3 - 3) - 2*s - 3*s + 0*s. 25*s Expand (3 - 4 - 1)*(2*q**2 + 2*q**2 - 6*q**2)*(-16*q**3 + 7*q**3 + 2*q**3 - 8*q). -28*q**5 - 32*q**3 Expand (-3*z**2 + 4*z**2 - 3*z**2)*(-7*z + 6*z + 2 - 10*z**3 + 40*z**3). -60*z**5 + 2*z**3 - 4*z**2 Expand 0*k**3 - k**3 - 3*k**3 + (-3*k + 2*k + 3*k)*(2*k**2 - k**2 - 3*k**2) - 4*k**3 - k**3 + 4*k**3 + 19 - 19 - 22*k**3. -31*k**3 Expand (-61*r - 10*r - 48*r)*(1 - 5 + 2)*(-2 + 2 - 2). -476*r Expand (1 - 1 + 1)*(f**2 - 3*f**2 + 4*f**2) - 3*f + 3*f + f**2 + 0*f**2 + f**2 - 2*f**2 + 208*f - 208*f - 25*f**2 + (-f + f + f)*(4 - 4 - f). -24*f**2 Expand (87490*i + i**2 - 87490*i + 66)*(4 - 5 + 0). -i**2 - 66 Expand (-8*q**2 + 5*q - 5*q)*(-5 + 2 - 3 + (0 - 2 + 0)*(-4 - 1 + 6) - 1 + 4 - 1)*(-3 + 3 + 3). 144*q**2 Expand (5 - 4 + 0)*(0*t + 0*t - t + (3*t + 3*t - 4*t)*(-1 + 0 + 2) + 2*t - 2*t + 2*t - 9 - 32*t + 7 + 35*t). 6*t - 2 Expand v - v - v**5 + 10*v**5 + 23*v**2 - 23*v**2 + (0*v**4 - 2*v**4 + v**4)*(2*v + 0*v - 4*v). 11*v**5 Expand (-8*q - 16*q + 5*q)*(2 - 3 + 0*q + 4*q). -76*q**2 + 19*q Expand (5 - 3 - 4)*(-278*g**2 + 278*g**2 + 90*g**3)*(-2*g + 5 - 5 + (7 - 3 - 2)*(3 - 3 - 2*g) - g + 3 - 3 - 4
{ "pile_set_name": "DM Mathematics" }
s digit of (839 - 1) + -10*(-8)/16? 3 Let q(x) = -33*x + 11. What is the units digit of q(-8)? 5 Let r(h) = 11*h**2 - 71*h - 67. What is the units digit of r(19)? 5 Let o = -12 - -17. Suppose 3*b - 5*b + 173 = 3*v, o = -b. What is the tens digit of v? 6 Let u be -1*5*(2 + -1). Let v(l) = 160*l + 652. Let w be v(-4). Let k = w + u. What is the units digit of k? 7 Suppose -5*i = -1781 - 1249. What is the units digit of i? 6 Let y(h) = -11*h + 31. What is the hundreds digit of y(-12)? 1 What is the tens digit of (-42)/((-49)/7)*60? 6 Let j(v) = 3*v**2 + 4*v + 1. Let i be j(-5). Let a be 38/5 - (-8)/20. Suppose -5*p + 376 = -3*u, -5*u + i + a = p. What is the units digit of p? 4 Let n = -279 - -2150. What is the tens digit of n? 7 Suppose -5*w - 2211 + 264 = -s, s = -2*w + 1968. What is the thousands digit of s? 1 Suppose -5*r - 4*z = -7747, 2386 + 5364 = 5*r + 5*z. What is the units digit of r? 7 Let g be 12/2*24/(-12). Let y be g/16 - (-357)/12. Let j = y - 3. What is the units digit of j? 6 Let i(j) = j + 1. Suppose 3*p + 2 = 8. Let x be i(p). What is the units digit of (x - 2) + 2 - -2? 5 Suppose b + 5*z + 5 + 1 = 0, -5*b = 5*z - 30. Suppose 0 = 4*q + b*q - 1534. What is the units digit of q? 8 Let t = -143 + 98. What is the units digit of 18/(-2 + (-100)/t)? 1 Let h be (-1 - 0)/(9/(-36)). Suppose -3*v = h*l - 85, 4*l = 5*v - 0*l - 195. What is the units digit of v? 5 What is the hundreds digit of ((-11)/((-66)/3284))/((-10)/(-15))? 8 Suppose 274 = 64*w - 164078. What is the units digit of w? 8 Let x = -38 - -43. Let o(p) be the second derivative of 4*p**3/3 + 2*p**2 + 3*p. What is the units digit of o(x)? 4 Let w be 0 - 4/2 - -54. Suppose w = 15*k - 16*k. Let s = -22 - k. What is the tens digit of s? 3 Let w = 23 + -23. Suppose 5*j - 83 + 3 = 0. Suppose p - j = -w*p. What is the units digit of p? 6 Let j = 9 + -6. Suppose -3*g + 30 = -5*x, -j*g = 2*g - 4*x - 37. Suppose -5*t = -g*p - 115, -2*t - 3*t - p + 97 = 0. What is the tens digit of t? 2 Suppose 0 = 6*u - 7*u + 42. Suppose -4*n + 4*t + u = -t, 0 = 3*t + 6. Suppose 186 = 5*i + 3*p, 3*p - n*p + 190 = 5*i. What is the tens digit of i? 3 Suppose -2*o + 6 = -4. Suppose -o*n + 50 = -65. What is the units digit of n? 3 Let f(h) = 1179 - 18*h - 1179. What is the tens digit of f(-1)? 1 What is the hundreds digit of 2166/4 - (-48)/(-32)? 5 Let x = 942 - 519. What is the hundreds digit of x? 4 Let v(h) = -h**2 - 15*h - 11. Let u = -1 + -8. What is the tens digit of v(u)? 4 Let z be 3 + -3 - -1 - 0. Let h be 1920/(-3) + (1 - z). What is the tens digit of h/(-35) + 4/(-14)? 1 Suppose -y + 0*y = -4*z + 17, 4*y + 3 = 3*z. Let r(h) = -2*h**2 - 5*h**2 + h**2 - y*h - 6 - h**3 - 5*h. What is the units digit of r(-5)? 9 Let v(j) = j**3 - 9*j**2 + 9*j - 5. Let q be v(8). Suppose q = -3*m + 2*m. What is the units digit of (-67*(m - -1))/2? 7 Suppose 13 = 3*u + 46. Let i be (u + 6)*(-4)/10. What is the tens digit of ((-21)/(-2))/(i/4)? 2 Suppose -3*y - 2*y = -2*k + 135, -k = 5*y + 150. Let z = y - -42. What is the units digit of z? 3 Suppose -5*h = 5*y, -h - 5*y + y = -6. Let r(t) = -t**2 - 5*t + 5. Let v be r(-6). What is the units digit of 13 + (v - (h + -1))? 5 Let i = -67 - -72. Suppose -504 = 2*q - i*q. What is the hundreds digit of q? 1 Suppose 3*x - n + 3 = x, x + 5*n - 15 = 0. Suppose x = -3*i + 51 + 303. What is the hundreds digit of i? 1 Let u = -25 - -25. Suppose 4*d + 3*q = 2*d - 13, u = -d - 3*q - 11. What is the units digit of (-1 - d)/(1/59)? 9 Suppose -y - 7*s = -3*s - 10, 2*s + 30 = 2*y. Suppose -18*u + 568 = -y*u. What is the hundreds digit of u? 1 Let y(r) = 2*r**2 + 7*r + 5. Let b be y(-2). Let d(a) = 32*a**2 + a. What is the tens digit of d(b)? 3 Suppose 31*x = 57206 - 6087. What is the hundreds digit of x? 6 Suppose 1952 = l + 3*l. What is the hundreds digit of l? 4 Let a(q) = -q**3 + 3*q**2 - q - 7. Suppose 4*h - 2*h = g + 3, -2*h = -3*g - 9. Let r be a(g). What is the units digit of ((-320)/r)/(1/(-5))? 2 Let g(w) = -12*w**3. Let x be g(-1). Suppose -10*t + x*t = 38. What is the units digit of t? 9 Let i(d) = -5*d**3 - 6*d**2 + 9*d + 1. Let t(q) = 14*q**3 + 17*q**2 - 26*q - 2. Let v(n) = -11*i(n) - 4*t(n). What is the units digit of v(-5)? 7 Let j = 55 - 47. Suppose 7*n = j*n - 71. What is the units digit of n? 1 Let n be (1 + (-4 - (-6 + -3)))*2. Let v(i) = 3*i + 73. What is the units digit of v(n)? 9 Let k(r) = 57*r**2 + 2*r + 4. Let n(f) = 114*f**2 + 4*f + 7. Let i(u) = -5*k(u) + 3*n(u). What is the tens digit of i(-1)? 5 Let w(g) be the third derivative of g**6/120 + 2*g**5/15 - 5*g**4/12 + g**3/6 + 4*g**2. Let r be w(-9). Suppose r*k - 5*k = 50. What is the tens digit of k? 1 Suppose h + 3*r - 3429 = 0, -4*h - 923 + 14564 = -3*r. What is the thousands digit of h? 3 Suppose 2*q = 6*q - 16. Suppose 10 = -d - 0*d + q*r, -r = -5*d + 45. Suppose 4*h = 5*v + d, 4*h - 24 = 2*v - 4*v. What is the units digit of v? 2 Suppose -6*a - 194 + 1028 = 0. Suppose 3*p - 7*p - 2*n + 172 = 0, -3*p - 4*n + a = 0. What is the tens digit of p? 4 Let w = 536 - 385. What is the hundreds digit of w? 1 Let p be (-19)/(-38) + 146/(-4). Let n = p + 50. What is the units digit of n? 4 Suppose 0 = -19*m + 13*m + 1278. What is the units digit of m? 3 Suppose -m + c = -1325, -5*c = -97 + 112. What is the hundreds digit of m? 3 Suppose -8*q + 4*q = -3012. What is the hundreds digit of q? 7 Suppose -2*j = 0, 2*j + 0*j = -b + 8. Let k be ((-2)/(-3))/(b/96). Suppose -k*z + 551 = 63. What is the units digit of z? 1 Let z = -4 + 9. Suppose 4*y + 34 = z*y. Suppose -3*m + 5*s = -126, 0 = -m + 2*m + s - y. What is the tens digit of m? 3 Suppose 0 = -3*x + 5*b + 50, -30 = -0*x - x - 5*b. Suppose -5*q + x = -15. Suppose f + 113 = 3*r, q*r - 2*f = 2*r + 190. What is the tens digit of r? 3 Let d be (0/(-2))/(-7 - -8). Suppose 3*t + 6 - 21 = d. Let q = 11 + t. What is the tens digit of q? 1 Suppose u - j - 129 = 199, -u - 4*j + 328 = 0. What is the tens digit of u? 2 Let y = 89 - 89. What is the tens digit of (y + -2)*114/(-4)? 5 Let k be 2*(-2*6)/(-2). Let z be 0*1/(-2) + (9 - -6). Let n = k + z. What is the units digit of n? 7 Suppose 24 = -2*r - 50. Let d = 21 - r. What is the units digit of d? 8 Suppose -3*o - o + 3*b = -26, 4*o - b = 22. Let s = 0 + 2. Suppose -s*z + 53 = p, 3*z + o*p - 80 = 10. What is the units digit of z? 5 Let n(g) = -g**3 + g**2 + 19*g + 5. Let q be n(5). Suppose 6*z - 5*z - 52 = q. What is the tens digit of z? 5 Suppose 0*i + 3963 = 3*i - 3*b, 1309 = i + 3*b. What is the thousands digit of i? 1 Let v(h) = h. Let x(d) = 3*d - 6. Let i(f) = 6*v(f) - 3*x(f). What is the tens digit of i(-7)? 3 Let w = 28 - 24. Suppose 0*y - d + 4 = -5*y, -d + 4 = -w*y. Suppose -4*k + 3*i + 150 = 0, 0 = -2*k - y*i + 2*i + 74. What is the units digit of k? 9 Let i be (-34)/1*(-3)/6. Let n = i + 2. What is the units digit of n? 9 Suppose -i = 2*i - 1152. What is the units digit of i? 4 Let a = 626 - 402. Suppose -26*m + 24*m + a = 0. What is the tens digit of m? 1 Let v be (3 - 10)*6/(-21). Suppose -3*l + 2*l - 3*p = 0, 3*l - 7 = -v*p. Suppose l*x = -x + 28. What is the units digit of x? 7 Suppose 0 = 5*p - 287 - 18. Let c = -43 + p. Suppose -4*w + 2*w = -c. What is the units digit of w? 9 Let n(c) = -c**3 + 2*c**2 + c + 7. Let d be n(3). Suppose 5*q = 21 - d. What is the tens digit of q/14 + 68/7? 1 Suppose 268*z = 277*z - 3015. What is the tens digit of z? 3 Suppose 3*z = 4*z + 15. What is the units digit of (-366)/z + (-10)/25? 4 Let r(k) = 811*k - 303. What is the hundreds digit of r(4)? 9 Let a be (10/4)/((-1)/(-2)). Suppose -686 = -a*x + 3*u, -5*u + 845 - 135 = 5*x. What is the tens digit of x? 3 Let c be (-4)/54*3 + (-77)/(-63). What is the tens digit of (696/32)/(c/4)? 8 What is the tens digit of 6/(-27) + (-15400)/(-45)? 4 Let p = -6 + 7. Suppose p = 3*c - 0*c + m, -5*c - m = -5. Suppose -4*h = -0*k + c*k - 12, 5*h - 2*k = 6. What is the units digit of h? 2 Suppose 24*c + 601 = 25*c. What is the units digit of c? 1 Suppose 8*n - 4603 = 5045. What is the tens digit of n? 0 Let i(r) = 31*r - 113. What is the units digit of i(6)? 3 Suppose -v = 2*f + 235, 2*v = -0*f + 4*f + 458. Let k = -18 - f. Suppose 2*x = k + 58. What is the tens digit of x? 7 Let v = 2180 - 946. What is the units digit of v? 4 What is the u
{ "pile_set_name": "DM Mathematics" }
ter: 1 or 964? 964 Is 4 greater than 49/13? True Are 3907 and 3907 non-equal? False Is 4532 at least 4531? True Which is greater: -274 or -3? -3 Is -3/202 > 4? False Which is greater: 2/7 or 61? 61 Which is bigger: 89/268 or -1? 89/268 Are 9 and 209/20 equal? False Which is bigger: 144/305 or 1? 1 Which is smaller: 0 or -28/1411? -28/1411 Is -6846/5 < -1369? True Which is bigger: -2 or -46/11? -2 Is -3741 < 1? True Which is smaller: 0.8 or 0.066? 0.066 Is 0 bigger than 1/420? False Which is bigger: -76139 or -76140? -76139 Is 1 at most as big as -22/53? False Is -0.1 greater than or equal to 4059? False Which is bigger: -4 or -1855? -4 Which is bigger: -1.2 or 1? 1 Is 9621 equal to 9622? False Is -16 >= -36? True Which is smaller: -520 or -522? -522 Is -91 less than -0.17? True Is -125 > -120? False Is -4822 at most -4815? True Which is greater: 56 or 59? 59 Is 373 not equal to 373? False Which is bigger: 3020 or -1? 3020 Which is greater: -0.1 or 227? 227 Is 4699 greater than or equal to 4697? True Which is smaller: 184 or 186? 184 Is 343 greater than or equal to -0.027? True Is 4223 at most 4217? False Which is smaller: 2/3 or 113/3? 2/3 Is 577 equal to 576? False Is 1 greater than 5? False Is 49 bigger than 39? True Is 1942 at most 1942? True Is 2 bigger than -631? True Which is smaller: -1/266 or 0? -1/266 Which is smaller: 3 or 2? 2 Which is smaller: 0 or 144? 0 Which is greater: 18/179 or 1? 1 Which is greater: 0.254 or 0.017? 0.254 Is 1 <= 1/439? False Which is greater: 1 or 4/12619? 1 Is -12 > -293? True Which is smaller: 10/157 or 0? 0 Is 0 greater than 2/415? False Which is greater: 11 or 1893? 1893 Which is greater: -125 or -139? -125 Which is bigger: 31 or 97/3? 97/3 Is -508 < -510? False Which is bigger: 0.08616 or -0.4? 0.08616 Which is bigger: -2/69 or 1? 1 Does 133 = -2? False Which is greater: 143/5 or 30? 30 Which is smaller: -260/67 or -3? -260/67 Which is smaller: 2/5 or 2/351? 2/351 Is 290 < 287? False Which is greater: 216 or 217? 217 Is 0 bigger than 51? False Is 0 != 93? True Which is bigger: -0.0181 or 0? 0 Which is smaller: -2/5 or 1773? -2/5 Do -937/3 and -311 have the same value? False Which is smaller: 892 or 895? 892 Is 1/4 <= -345? False Are 401 and 401 nonequal? False Is -1/3 <= -124? False Which is greater: -1 or -3/1186? -3/1186 Which is bigger: 66 or 64? 66 Is 275 bigger than 265? True Is 2 greater than -134? True Which is greater: 1543 or 1544? 1544 Do -0.2 and -17864 have different values? True Is -1399 greater than -1400? True Which is smaller: -67/5 or -14? -14 Which is bigger: 0.01675 or -0.1? 0.01675 Is -388 less than or equal to -6594/17? True Which is smaller: -4/3 or -75? -75 Which is smaller: -68 or -4? -68 Which is smaller: -1 or -11/998? -1 Which is smaller: -218/7 or -30? -218/7 Which is greater: 1 or 0.08546? 1 Do -43 and -43 have different values? False Is -1/3049 less than 1? True Are -941/4 and -236 nonequal? True Which is smaller: 3395 or 3397? 3395 Which is smaller: 15 or -31/5? -31/5 Is -2/17599 > 0? False Is 500 less than or equal to 500? True Do -720 and -721 have the same value? False Do -5 and -5 have different values? False Which is bigger: 260 or 249? 260 Is -53 < 10/49? True Is 2/201 at most 1? True Is 29 less than or equal to 9? False Which is smaller: 55 or 54? 54 Is -128 at least as big as -130? True Is -1 < 9/539? True Which is bigger: 2 or 28/25? 2 Is -1879 >= 0.2? False Which is greater: 128 or 156? 156 Is -2047 smaller than -2046? True Which is bigger: -1/2 or -1/4? -1/4 Is -3.1 greater than or equal to 0? False Which is smaller: 1572 or 1574? 1572 Which is bigger: -126/5 or -25? -25 Is -2436 less than -2433? True Are 2019 and 2018 unequal? True Is -690 greater than -0.2? False Are -113/5 and -24 non-equal? True Which is smaller: 1 or -9/530? -9/530 Is 2/4805 equal to -1? False Is 0.1 >= 0.203? False Is 10 less than or equal to -2/15? False Is 7137 <= 0? False Do -90 and -2574/29 have the same value? False Which is greater: 324 or -29? 324 Which is smaller: -2/11 or 9? -2/11 Which is bigger: -1/211 or 1? 1 Does -1 = 67? False Is 5/1996 bigger than 1? False Which is smaller: -93 or -100? -100 Are -4148 and 1 equal? False Is 3 greater than 0? True Is 10 greater than or equal to 36? False Which is smaller: -12852/5 or -2569? -12852/5 Which is greater: -45/37 or -1? -1 Is 3439 at most as big as 3440? True Do 0 and 19/18 have different values? True Are 1 and -22/79 non-equal? True Is -96 smaller than -120? False Is 223 bigger than 891/4? True Which is smaller: -20/33 or -1? -1 Which is greater: 0.2 or 1.27? 1.27 Which is smaller: -3/7150 or -1? -1 Is -31 != -32? True Which is smaller: 116 or 44? 44 Is -21 equal to -102/5? False Is 1/2868 greater than or equal to -1? True Is 3.9 not equal to 14? True Is 1 > -10/827? True Is -869 less than -869? False Is -14924 at least as big as -14925? True Is -4 equal to -1911? False Which is smaller: -0.1 or 7? -0.1 Is 0.031 greater than or equal to 6? False Is -30 < 0? True Is -132 at least -131? False Is 165 < 6? False Is -97 at most as big as -105? False Which is bigger: -7/1264 or 1? 1 Which is bigger: 1 or -191.1? 1 Which is greater: 1/7 or -1.7? 1/7 Do 731 and 731 have different values? False Is -85 greater than -74? False Is 0.31 bigger than -162/11? True Is 1562 equal to 1562? True Which is smaller: -6/217 or 1? -6/217 Is 5 equal to -4? False Which is smaller: 377 or 379? 377 Which is smaller: 548 or 551? 548 Are -613 and -1/2 nonequal? True Which is smaller: 906 or 907? 906 Which is bigger: 0 or -19/14? 0 Which is greater: 8127 or -2/3? 8127 Which is greater: 337/5 or 67? 337/5 Is 6 >= -19/5? True Is 4 greater than or equal to 68? False Is -221 < -290? False Is 445 equal to 446? False Are -21 and 11 nonequal? True Which is greater: 12 or 4.5? 12 Which is bigger: -0.725 or 2/5? 2/5 Does 927 = 925? False Which is smaller: -6 or -2? -6 Which is greater: -2 or -13.64? -2 Are -12 and 6 nonequal? True Do -1/15 and -5/4 have the same value? False Is 270 < 270? False Which is greater: -2/3 or -3231? -2/3 Is -83 < -31? True Which is greater: -40180 or -40181? -40180 Do 480 and 480 have the same value? True Are 577/5 and 114 equal? False Is 3 smaller than -1? False Is 1 != 6/29? True Which is bigger: 7 or 0.5? 7 Which is bigger: -0.2 or -10? -0.2 Which is bigger: 1 or 18.9? 18.9 Is 2 greater than or equal to -3/49? True Which is bigger: -1 or 0.62? 0.62 Is 14 > 54? False Is 2069 at least 2069? True Which is smaller: -62 or -61? -62 Is -1/2 at most -335? False Is 1519 greater than 3039/2? False Which is bigger: 0.3 or 32? 32 Is -184 at least -213? True Is 174 at most as big as 2280/13? True Are -74 and -74 nonequal? False Is 5616 >= 0.1? True Which is smaller: 18 or 14? 14 Is -188/5 bigger than -38? True Does -1 = 164? False Are 3/28 and 0 non-equal? True Is -2697 at most -2698? False Which is smaller: -2/19 or -1? -1 Which is smaller: -16 or -5? -16 Does 0 = 8/397? False Is -3/19 bigger than -0.13? False Are -1 and -3/23765 equal? False Is 1141 bigger than 1143? False Do 4929 and 4929 have the same value? True Is 46 <= -1/7? False Which is smaller: 1 or 53? 1 Is 25 <= 24? False Which is smaller: 5 or 3? 3 Which is smaller: 257/3 or 86? 257/3 Do -226/43 and -4 have different values? True Is -22.6 bigger than -6/5? False Which is greater: -496 or -499? -496 Is 314 bigger than 313? True Is -1 at least 46/241? False Which is greater: 2569 or 2570? 2570 Which is smaller: 1/21 or -2.7? -2.7 Which is smaller: 2154 or 6? 6 Are 0.1 and -51 non-equal? True Which is smaller: -1 or 2/20475? -1 Are 873 and -2/9 non-equal? True Which is bigger: 1020 or 1017? 1020 Is 471 at least as big as -78? True Is -1/31 smaller than 1? True Is -2/15 greater than or equal to 7? False Which is bigger: -5380/9 or -599? -5380/9 Which is bigger: 36562/5 or 7312? 36562/5 Is 23 <= -9? False Are -1.33 and 13 nonequal? True Is 8/13 not equal to 5? True Which is smaller: -5 or -228/59? -5 Which is smaller: -2/547 or -1? -1 Which is smaller: 20 or 132/7? 132/7 Is 9/3884 > 0? True Is -795 > -800? True Which is bigger: -455 or -453? -453 Do -4524 and -4523 have the same value? False Which is smaller: 128 or 0? 0 Is -6840 < -6840? False Is -18/31 equal to 0? False Is 7 greater than
{ "pile_set_name": "DM Mathematics" }
0.1, -4/3, -4 Put 81, -5, -3, 74 in descending order. 81, 74, -3, -5 Sort 374, 3, 1, -11. -11, 1, 3, 374 Put 5, 3, 2, -41 in ascending order. -41, 2, 3, 5 Sort 2, -8349, -5 in decreasing order. 2, -5, -8349 Put -0.1, 3, 2, 0.177 in increasing order. -0.1, 0.177, 2, 3 Sort -5, -2, 5, -685, 3 in decreasing order. 5, 3, -2, -5, -685 Put 369, 6, 2 in increasing order. 2, 6, 369 Sort -64, 3, -1, 1 in decreasing order. 3, 1, -1, -64 Put -3, 7, -12/7, 1/4, -0.4 in decreasing order. 7, 1/4, -0.4, -12/7, -3 Sort -214, -16, -3 in decreasing order. -3, -16, -214 Sort 4, 12, 3, 7, -1 in descending order. 12, 7, 4, 3, -1 Sort -2/11, -94, -1, 0.5 in decreasing order. 0.5, -2/11, -1, -94 Sort -27, -5, -3, -22. -27, -22, -5, -3 Sort 3, -2, -1, -234 in decreasing order. 3, -1, -2, -234 Sort -13, -4, 6, -1 in increasing order. -13, -4, -1, 6 Put 3, 6, -59 in ascending order. -59, 3, 6 Sort 1, 5, 0, -1, 8 in increasing order. -1, 0, 1, 5, 8 Sort -440, 2, 1 in decreasing order. 2, 1, -440 Put -82, -4, -2, 4, 5 in decreasing order. 5, 4, -2, -4, -82 Sort 2, -2, 80, 4 in increasing order. -2, 2, 4, 80 Sort -2, 0, -1260. -1260, -2, 0 Put -5, 3, -1, -2 in decreasing order. 3, -1, -2, -5 Sort 1, 2, -15 in descending order. 2, 1, -15 Put 540, -1/7, 0 in decreasing order. 540, 0, -1/7 Put -377, -4, 0, 2 in increasing order. -377, -4, 0, 2 Sort 9, 3, 0.1, -0.16, 0. -0.16, 0, 0.1, 3, 9 Put -2/11, -2/7, -5, 92 in descending order. 92, -2/11, -2/7, -5 Put -1, -28, -4, -5 in ascending order. -28, -5, -4, -1 Sort -8, -5, -6. -8, -6, -5 Sort 0.2, -4, 2, -5 in ascending order. -5, -4, 0.2, 2 Sort -1/15, 4/9, -3/5, -0.5 in decreasing order. 4/9, -1/15, -0.5, -3/5 Sort 17, -152, 4, 2 in ascending order. -152, 2, 4, 17 Sort 4, -12/7, 5/7 in increasing order. -12/7, 5/7, 4 Sort 1, -1/4, -1/30 in descending order. 1, -1/30, -1/4 Put -3/8, 4/13, -4, 0.3, -5 in ascending order. -5, -4, -3/8, 0.3, 4/13 Put -1, 0, 1, -42 in descending order. 1, 0, -1, -42 Sort 5, -4, 239, -1. -4, -1, 5, 239 Put 4, -1, -14, 58 in increasing order. -14, -1, 4, 58 Sort -0.2, 0.2, -2/79 in descending order. 0.2, -2/79, -0.2 Put 0.4, 4, 0.08, 2/115 in decreasing order. 4, 0.4, 0.08, 2/115 Sort -4, 435, 0 in decreasing order. 435, 0, -4 Sort 0, -461, 4, -4, -1 in decreasing order. 4, 0, -1, -4, -461 Put 7, 10, -1 in descending order. 10, 7, -1 Sort 3, -2, -3, -54 in decreasing order. 3, -2, -3, -54 Sort -1, 2, -7, 4 in ascending order. -7, -1, 2, 4 Sort 2/9, 0.1, 37/3, 1/2, -0.5 in descending order. 37/3, 1/2, 2/9, 0.1, -0.5 Sort 4, -1/3, 145 in increasing order. -1/3, 4, 145 Sort 89, 3, 1, 0, -1 in decreasing order. 89, 3, 1, 0, -1 Sort 5, -4, 1, -30 in increasing order. -30, -4, 1, 5 Sort 5, -1, -1335, 2, -3 in decreasing order. 5, 2, -1, -3, -1335 Sort 2, -7, -5 in descending order. 2, -5, -7 Put 12, 190, -4 in decreasing order. 190, 12, -4 Put 397, 2, -4, 3 in ascending order. -4, 2, 3, 397 Put 42, 0.4, -0.5 in decreasing order. 42, 0.4, -0.5 Put 5, 3, -1, -5 in ascending order. -5, -1, 3, 5 Sort 2/7, -0.5, -23346 in decreasing order. 2/7, -0.5, -23346 Sort -4, -8, 2 in decreasing order. 2, -4, -8 Put 5, 2, -31 in increasing order. -31, 2, 5 Put 5, -47, -2, -3, -4 in decreasing order. 5, -2, -3, -4, -47 Sort 366/103, -3/5, 0.1. -3/5, 0.1, 366/103 Put -2, 0, 40, 2 in increasing order. -2, 0, 2, 40 Put -4, -1/5, -0.026, -5 in descending order. -0.026, -1/5, -4, -5 Sort 0.4, -47, -4, 6 in descending order. 6, 0.4, -4, -47 Sort -0.5, -5, 2/3, 1/266 in increasing order. -5, -0.5, 1/266, 2/3 Sort -3, 4, 2, 0.62 in descending order. 4, 2, 0.62, -3 Put 3, -5/2, -28, -1/4 in ascending order. -28, -5/2, -1/4, 3 Put 11, -3, 25 in descending order. 25, 11, -3 Sort -2, 2, 1/7, 1, -5 in ascending order. -5, -2, 1/7, 1, 2 Sort 4, 2, -5, 8. -5, 2, 4, 8 Put 2, -7, -0.02, 0.14, 0 in ascending order. -7, -0.02, 0, 0.14, 2 Sort -14, -82, 8. -82, -14, 8 Put -4/9, -2/29, 2/7 in descending order. 2/7, -2/29, -4/9 Sort 2/15, 0.33, 1/5, 1/2, -3 in decreasing order. 1/2, 0.33, 1/5, 2/15, -3 Put 752, -0.3, -5 in ascending order. -5, -0.3, 752 Put -10, 2/9, 6, -0.2 in descending order. 6, 2/9, -0.2, -10 Sort 0.4, -8, 2/17, 3 in ascending order. -8, 2/17, 0.4, 3 Put -3, -8, -60, 13 in ascending order. -60, -8, -3, 13 Sort 26, -4, -49. -49, -4, 26 Sort 5, -0.4, 237, 0.3 in descending order. 237, 5, 0.3, -0.4 Put 5, -33, -2/19, -2/5, -0.084 in ascending order. -33, -2/5, -2/19, -0.084, 5 Put -2, 0, -39, -4 in decreasing order. 0, -2, -4, -39 Sort -26, 0, -1, 2. -26, -1, 0, 2 Put -5, 0, 3, 80 in descending order. 80, 3, 0, -5 Sort 3, 0, -2, 8, -7 in decreasing order. 8, 3, 0, -2, -7 Put 4/7, 0.5, -776 in ascending order. -776, 0.5, 4/7 Put -3, -4, 263 in descending order. 263, -3, -4 Sort -7/3, 46/9, -2, 3 in increasing order. -7/3, -2, 3, 46/9 Sort -5, 5, -648 in descending order. 5, -5, -648 Put -1252, -0.4, -2/7 in descending order. -2/7, -0.4, -1252 Put -4/15, -0.2, -40/23 in ascending order. -40/23, -4/15, -0.2 Put -4, 1, -2, -326 in ascending order. -326, -4, -2, 1 Sort -0.16, -0.06, -0.055 in descending order. -0.055, -0.06, -0.16 Put -2/3, 0.2, 0.1, -320/3, 3/4 in decreasing order. 3/4, 0.2, 0.1, -2/3, -320/3 Sort -1, 4, 0, -5. -5, -1, 0, 4 Put 870, -3, -1, -5, 0.3 in increasing order. -5, -3, -1, 0.3, 870 Put 1/10, -3, -4 in descending order. 1/10, -3, -4 Sort 3/7, -5, -0.12, -1 in increasing order. -5, -1, -0.12, 3/7 Sort 110, -2, 1 in decreasing order. 110, 1, -2 Put -3, 25, -10 in increasing order. -10, -3, 25 Sort -5, 4, 0, -4, -85 in descending order. 4, 0, -4, -5, -85 Sort -4, 9, -34, 2. -34, -4, 2, 9 Sort -1/8, -2/5, -0.2, -2 in decreasing order. -1/8, -0.2, -2/5, -2 Put 31, -6, -3, -4, 3 in increasing order. -6, -4, -3, 3, 31 Put 21, -3, 0.2, 2/7 in descending order. 21, 2/7, 0.2, -3 Sort 31/5, -19, 0.5 in ascending order. -19, 0.5, 31/5 Sort -5, -6, -19, -2 in descending order. -2, -5, -6, -19 Put 3/7, 1, 37, -10 in increasing order. -10, 3/7, 1, 37 Put -2, 5, -1, -5, 23 in decreasing order. 23, 5, -1, -2, -5 Put 3, -2, 1, -0.3 in ascending order. -2, -0.3, 1, 3 Put 5, -2, -1813 in decreasing order. 5, -2, -1813 Sort 0.5, -0.01, 0.197, 1/7, -5 in descending order. 0.5, 0.197, 1/7, -0.01, -5 Put 206, 0, -4, 2/15 in increasing order. -4, 0, 2/15, 206 Put -3, 8, -5, 35 in descending order. 35, 8, -3, -5 Put 187, 3/7, -3 in increasing order. -3, 3/7, 187 Put 4, -2, -152, -29 in descending order. 4, -2, -29, -152 Sort 1, -3, 1/6, -36, 0 in ascending order. -36, -3, 0, 1/6, 1 Put -926, 3, -5 in increasing order. -926, -5, 3 Sort 4/7, 5, 3, -2/19, -0.4 in increasing order. -0.4, -2/19, 4/7, 3, 5 Sort 3, -5, 11, -2 in descending order. 11, 3, -2, -5 Sort 0.5, -11, 4/7 in ascending order. -11, 0.5, 4/7 Sort 222, 1/4, 2/17 in increasing order. 2/17, 1/4, 222 Sort 4, 8, -71 in increasing order. -71, 4, 8 Put 2, 119, -5, 3, -2 in decreasing order. 119, 3, 2, -2, -5 Put -0.1, -0.5, 0.23 in descending order. 0.23, -0.1, -0.5 Sort 44, -5, -1 in decreasing order. 44, -1, -5 Sort -4, 0, -370 in descending order. 0, -4, -370 Put 13, -5/6, -1, 0, -0.4 in ascending order. -1, -5/6, -0.4, 0, 13 Put -12, -4, 35, 0, -2 in ascending order. -12, -4, -2, 0, 35 Put 719, -1, -3, 1/5, -0.1 in ascending order. -3, -1, -0.1, 1/5, 719 Sort -2, 10, -15, -1/4, -0.1 in increasing order. -15, -2, -1/4, -0.1, 10 Put 25, 0.8, 1 in descending order. 25, 1, 0.8 Sort -1, -2/5, -40 in decreasing order. -2/5, -1, -40 Sort -4, 4, 5, -2. -4, -2, 4, 5 Sort -21, 1, 0 in increasing order. -21, 0, 1 Put 3, -59, -1, -4, -3 in ascending order. -59, -4, -3, -1, 3 Put -3/8, -0.1, 0.91, -5 in descending order. 0.91, -0.1, -3/8, -5 Sort 2, 2/13, -26.2, 1/4, -4 in increasing order. -26.2, -4, 2/13, 1/4, 2 Put 1.2, 2, 140 in decreasing order. 140, 2, 1.2 Put 2/7, -1, 2/13 in decreasing order. 2/7, 2/13, -1 Sort -1, 0, -7, 3 in increasing order. -7, -1, 0, 3 Sort 2/21, -43, -0.4, -2 in decreasing order. 2/21, -0.4, -2, -43 Sort 3, 1, -5, 2, -6. -6, -5, 1, 2, 3 Put 3, -3, -384, 0 in descending order. 3, 0, -3, -384 Sort 3, -14, -5, -1. -14, -5, -1, 3 Sort 3, -1852, 0.4, -6/5 in decreasing order. 3, 0.4, -6/5, -1852 Put 0.1, -5/4, -16/5, 0, -2/5 in decreasing order. 0.1, 0, -2/5, -5/4, -16/5 Sort 1/6, -3/167, -0.5. -0.5, -3/167, 1/6 Sort -33, 2/5, 5 in ascending order. -33
{ "pile_set_name": "DM Mathematics" }
r? True Is 41153527 a prime number? True Is 30141539 prime? True Is 77831983 prime? True Is 37018343 a composite number? True Is 12894113 a composite number? True Is 45524347 a composite number? True Is 15821111 a composite number? False Is 120221767 a prime number? True Is 901177133 a prime number? True Is 62711783 a prime number? True Is 5024221 a prime number? False Is 97195973 a composite number? True Is 1783967693 composite? False Is 237076909 a composite number? True Is 14431777 a composite number? False Is 1255733 a composite number? True Is 84607417 prime? True Is 36069419 a composite number? False Is 295093 a composite number? True Is 142158073 prime? True Is 858350369 a composite number? False Is 266082173 a composite number? True Is 2554849555 composite? True Is 9116143 prime? False Is 129341 a composite number? False Is 175982041 a prime number? False Is 105254143 prime? False Is 2309179 composite? False Is 2051717 composite? True Is 1446437 a prime number? True Is 1657571 a composite number? False Is 14358193 a composite number? False Is 63077519 prime? True Is 8564119 a composite number? True Is 242869391 composite? False Is 2148617 a prime number? True Is 7931173 a prime number? True Is 122453869 composite? True Is 4521307 prime? False Is 6190571 prime? True Is 17152769 prime? False Is 211143007 a composite number? True Is 871395491 a composite number? False Is 255451 a composite number? True Is 64057 a prime number? False Is 1925237 a prime number? False Is 28398193 a prime number? True Is 357785277 composite? True Is 5489129 a composite number? False Is 55920691 a composite number? False Is 32956258 composite? True Is 228085901 a composite number? False Is 15617939 a composite number? False Is 10296587 prime? False Is 39447827 prime? False Is 16362583 prime? False Is 1125821 prime? False Is 19354157 composite? True Is 1016903 a composite number? True Is 201957953 a prime number? False Is 1821251 prime? False Is 20039169 prime? 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False Is 643550129 a composite number? False Is 247226219 a composite number? False Is 19189931 a composite number? False Is 1448585 prime? False Is 15497507 composite? False Is 33514543 composite? False Is 33373867 a composite number? True Is 308485739 a prime number? False Is 19158883 a composite number? False Is 124565633 composite? False Is 256619423 composite? False Is 90162803 a composite number? False Is 689206877 prime? False Is 3870947 a composite number? False Is 262047437 a prime number? True Is 1415927 a composite number? True Is 7155743 composite? True Is 3556321 a prime number? True Is 5401501 prime? False Is 5528387 composite? False Is 2772481 composite? False Is 6006353 a composite number? True Is 19894279 a composite number? False Is 31610479 a composite number? True Is 73696017 a prime number? False Is 5564153 composite? True Is 24923869 a composite number? True Is 3396841 prime? False Is 9103729 a composite number? True Is 838181 prime? False Is 27581911 composite? True Is 199650665 composite? True Is 1401769 composite? True Is 2241517 a prime number? False Is 465824257 composite? False Is 25755809 prime? False Is 34314389 prime? True Is 375362503 a composite number? True Is 128268201 a prime number? False Is 102204343 a prime number? False Is 4808851 prime? False Is 60780851 prime? False Is 11107357 prime? False Is 15890777 composite? True Is 3205751 a composite number? False Is 567349 a prime number? False Is 3697361 composite? False Is 2249633 a prime number? True Is 96717857 prime? True Is 343210123 composite? True Is 405504533 prime? False Is 48783577 composite? False Is 92372317 a prime number? True Is 500459 prime? True Is 5303387 prime? False Is 56758591 composite? False Is 9283403 a prime number? True Is 389858753 a composite number? True Is 2498627 composite? True Is 5521249 a composite number? False Is 54310681 a composite number? True Is 53436169 prime? True Is 3014293 a prime number? False Is 22923767 prime? True Is 120082741 composite? False Is 23440814 composite? True Is 2095573 prime? False Is 533713706 prime? False Is 7962187 prime? False Is 3336397 composite? True Is 57948503 composite? False Is 2492651 prime? False Is 25115383 prime? False Is 5303569 a prime number? False Is 12707047 a composite number? False Is 456499 a prime number? True Is 82637 a composite number? True Is 2265493 composite? False Is 233780899 a prime number? False Is 97751935 prime? False Is 13326073 a composite number? True Is 741182731 composite? False Is 276733 prime? False Is 232303 prime? True Is 7199593 composite? True Is 5351539 a composite number? True Is 3541987 a composite number? False Is 263567 composite? False Is 44455973 a prime number? False Is 113646187 prime? True Is 85730209 a prime number? False Is 10306087 prime? False Is 6059555 a prime number? False Is 3591569 composite? False Is 83974057 a prime number? True Is 4571129 a composite number? True Is 24982751 a composite number? True Is 869909 prime? True Is 823287379 a prime number? True Is 25648261 composite? True Is 490519 composite? False Is 15164971 prime? True Is 14928923 a composite number? True Is 39728123 prime? True Is 61997059 composite? True Is 160600931 composite? False Is 50958841 a composite number? True Is 440183119 a prime number? True Is 1913759 a composite number? True Is 9033743 prime? False Is 3239449 prime? True Is 36259253 a prime number? True Is 5191591 a prime number? False Is 29212739 a composite number? True Is 83088913 a composite number? False Is 313735811 prime? True Is 597358243 a composite number? True Is 2942461 prime? True Is 4603811 composite? False Is 228436729 composite? False Is 263305685 a composite number? True Is 930518 a prime number? False Is 335791 prime? False Is 1961321 composite? False Is 6234538 composite? True Is 28134527 composite? False Is 184563193 prime? False Is 3161699 composite? True Is 1433041 prime? True Is 1014593 a prime number? True Is 404357 a prime number? True Is 929489629 composite? False Is 15808601 a prime number? True Is 19519411 a composite number? False Is 1337791967 composite? True Is 12504629 a composite number? False Is 10738139 a composite number? False Is 3034985 prime? False Is 11422865 prime? False Is 799937 prime? False Is 138055867 composite? True Is 81064001 a composite number? False Is 6063257 prime? False Is 1180265 a prime number? False Is 22662449 prime? True Is 1107031 prime? True Is 5782229 prime? False Is 6102341 prime? False Is 137464439 composite? True Is 1323593 a composite number? False Is 25605913 a composite number? True Is 47294791 composite? False Is 151255103 prime? False Is 209608987 composite? True Is 587903 a prime number? False Is 3659827 composite? True Is 2027885 a prime number? False Is 197569487 composite? True Is 217758869 a composite number? True Is 3007049 a prime number? True Is 27644371 prime? True Is 4054949 composite? False Is 2161823 a prime number? True Is 26260957 a composite number? False Is 56177113 composite? False Is 2479717 composite? False Is 7122595 prime? False Is 3324293 prime? False Is 883889 a composite number? False Is 258215543 composite? False Is 1012327 a prime number? False Is 2432501 composite? False Is 207807689 a composite number? False Is 24386963
{ "pile_set_name": "DM Mathematics" }
j be (-6)/(-9)*258/4. List the prime factors of j*-5*(12 + -13). 5, 43 Let j(x) = 292*x + 642. List the prime factors of j(72). 2, 3, 23, 157 Let p(s) = 2*s - 5. Let z be p(17). Suppose -z*a + 17*a = -2304. What are the prime factors of a? 2, 3 What are the prime factors of ((-225)/36)/(-4 + (-56952)/(-14240))? 5, 89 Let y(k) = 2*k**2 - 46*k - 37. Let s be y(24). Suppose -3*x - 7*h + s*h = -1046, 5*h = 20. List the prime factors of x. 2, 3, 59 Let b = -893 + 1746. What are the prime factors of 136/(-340) - b/5*-9? 5, 307 Suppose 16*n - 41*n + 131300 = 27*n. List the prime factors of n. 5, 101 List the prime factors of ((4 - 1928)/4 + -8)*-22*1. 2, 3, 11, 163 Suppose 5*d - 9*d + 4*b = -4588, 0 = 3*d + 4*b - 3476. Suppose 5*w - d = -2*l, 9*l - 4*l + w = 2880. What are the prime factors of l? 2, 3 Let f(l) = -2*l**2 + 26*l - 25. Suppose 0 = 3*u - 44 + 8. Let d be f(u). What are the prime factors of d*(8 - 4 - 112)? 2, 3 Let m = 4 + -2. Suppose -2*v - 4*g = -g - 333, 5*v - 867 = 4*g. Suppose m*w = 33 + v. What are the prime factors of w? 2, 3, 17 Let u(t) = 3*t**2 + 5*t - 6. Let b be u(1). What are the prime factors of 156 + b - (30/(-6))/(-1)? 3, 17 Let o = 8714 - -3783. List the prime factors of o. 12497 Suppose 4*a - 41 + 13 = 0. Suppose 196 = 14*b - a*b. List the prime factors of (120/b)/((-1)/(-7 - 0)). 2, 3, 5 Let y = 6790 - 2916. List the prime factors of y. 2, 13, 149 Let g(h) = -h + 3. Let d be g(3). Let l be ((-42)/(-35) - 1)/((-3)/(-10245)). Suppose i = -n + 167, d*i - l = -4*n + i. List the prime factors of n. 2, 5, 17 Suppose 2*o = 4*t + 148, -5*t + 7*t + 4 = 0. Suppose 63*q + 2891 = o*q. What are the prime factors of q? 7, 59 Let h be (-4 + 1)*4*956/(-48). Let d = -5 + h. What are the prime factors of d? 2, 3, 13 Suppose -d - 4*u = -23, u = 4 + 1. Suppose 0 = -3*v - d*v + 36. Suppose 0 = -5*x - 3*c + 710, -v*c - 119 = -x - 2*c. List the prime factors of x. 139 Suppose -p = 2*p - 39. Let j be p/((2/(-4))/(1/2)). Let v = 41 - j. List the prime factors of v. 2, 3 Suppose 115 = -6*n - 467. Let a = -88 - n. Let l(z) = 7*z - 13. What are the prime factors of l(a)? 2, 5 What are the prime factors of (22*(-18)/5)/((-459)/34425)? 2, 3, 5, 11 Let b be (-212)/(-8) + (-5)/10. Suppose a + 5650 = b*a. List the prime factors of a. 2, 113 Let q be 7 + 1149 + -9 + 2. Suppose 6*s = q - 345. What are the prime factors of s? 2, 67 Let q = -3740 - -5786. Suppose -7*w = 408 - q. Let l = w - 159. What are the prime factors of l? 3, 5 Let z(w) = -2*w**3 + 8*w**2 - 22*w - 14. Let q(o) = -3*o**3 + 16*o**2 - 43*o - 27. Let h(b) = 3*q(b) - 5*z(b). What are the prime factors of h(-9)? 79 Suppose -35*f + 29*f = 12. What are the prime factors of 774/4 - 1/f? 2, 97 Suppose 4*l - 33 = 7. Suppose -l*p + 12*p - 130 = 0. Let k = p - -77. List the prime factors of k. 2, 71 Suppose -2*g + 9 = 4*n + 3, 2*g = -n + 6. Suppose -g*r + 81 = -24. Suppose 22*x - r = 21*x. What are the prime factors of x? 5, 7 Let x be ((-84)/(-10))/(3/15). Suppose 4*g + 14 = 2*l, -g - 3*l - 6 = -l. List the prime factors of (x/g)/(6/(-56)). 2, 7 Suppose 6 - 36 = -10*n. List the prime factors of 2/n - 512/(-96). 2, 3 Let c be (-6)/(-8) + 17/4. Let h(f) = -8 + 6*f - 2*f + 18 + 8*f. What are the prime factors of h(c)? 2, 5, 7 Suppose -2*h + 626 = -2*g - 2*g, -2*g = -5*h + 1589. Let n = h - -41. Suppose -6*t = -11*t + n. What are the prime factors of t? 2, 3 Suppose 0 = -5*m - 4*p + 75259, -4*m - p + 9738 + 50456 = 0. List the prime factors of m. 41, 367 Let j(p) = 2*p**2 + 11*p - 21. Let s be j(-15). Suppose 2*b = t + 106, 0*t - s = -5*b + 2*t. What are the prime factors of 4828/b - (-6)/39? 3, 31 Let a(c) = -c**3 + 11*c**2 - 16*c. Let v be a(9). Let m(h) = -11*h - v - 34 + 0*h. List the prime factors of m(-18). 2, 73 Let v(j) = 10*j**3 + j**2 + 4*j - 3. Let s be v(2). Let k = s - 127. Let g = k + 101. What are the prime factors of g? 3, 7 Suppose 0*t + 2 = -m + t, -5*t + 40 = 5*m. Let b(w) = 2*w**2 + 3*w + 1. Let j be b(m). Let p = j + 45. List the prime factors of p. 73 Let w = 17 + -14. Suppose 4*s = -w*o + 26 + 30, 4*o + 28 = 2*s. What are the prime factors of (2/5)/(s/3220)? 2, 23 Let o = -68 + 68. Suppose o*j + j - 159 = 0. Let m = j - 37. What are the prime factors of m? 2, 61 Suppose -9*v + 1488 + 1626 = 0. Suppose 0 = -4*y - 2*u - 820 - v, -u = y + 290. Let d = y - -536. What are the prime factors of d? 3 Suppose -49 = -4*h + 5*r, -4*h + 2*r = r - 77. List the prime factors of h. 3, 7 Suppose -495 - 1938 = -3*k. Let t = -233 + k. List the prime factors of t. 2, 17 Let m(w) = 627*w + 121. What are the prime factors of m(9)? 2, 11, 131 Suppose s - 283 = -o, 4*o - 1128 = -9*s + 6*s. What are the prime factors of (-8)/((-8)/o) + 4? 283 Let r be 6 - (-5)/(5 - 6). List the prime factors of (r/(-2))/((-15)/(-60)) + 324. 2, 7, 23 Suppose 82*i - 81*i = -4*j + 32152, 0 = -3*j - 3. What are the prime factors of i? 2, 8039 Let y(k) = 6*k + 264. Let a be y(-9). Let f = 9 + 3. Suppose -f*w = -14*w + a. What are the prime factors of w? 3, 5, 7 Let w(n) = -38*n. Let a(g) = 57*g. Suppose o = -5*v - 26, -4*o = -5*v - 1 - 20. Let h(f) = v*a(f) - 8*w(f). List the prime factors of h(6). 2, 3, 19 Suppose 40*y = 138442 + 18878. Suppose 0 = 2*g, -3*f + 17*g - 14*g = -y. List the prime factors of f. 3, 19, 23 Let w(k) = -100*k - 12. Let h be w(-8). Let o = 1373 - h. Suppose 5*s - o = c + 24, -351 = -3*s - 3*c. List the prime factors of s. 11 Let c(w) = 3*w**2 + 8*w - 164. Let b be c(21). Suppose 0 = -2*u + b + 293. What are the prime factors of u? 2, 3, 5 Let g(v) = v**3 - 20*v**2 + 18*v + 147. Let k = -665 + 687. List the prime factors of g(k). 1511 Let x(r) = -23*r**3 - 3*r**2 - 364*r - 56. What are the prime factors of x(-15)? 2, 41177 Let o(c) = -5*c**2 + 7*c - 6. Let q be o(-6). Suppose -47*j - 580 = -42*j. Let w = j - q. List the prime factors of w. 2, 7 Suppose 49 = 4*j + 253. Let x = j + 54. Suppose 5*v - 209 - 86 = -5*a, -2*a = x*v - 173. What are the prime factors of v? 5, 11 Let g = -308 - -314. Suppose 0 = -i - 4*u + 697, 4*i - g*i + 1388 = 2*u. List the prime factors of i. 3, 7, 11 Suppose 0*v + m = v - 5, -25 = -5*v + m. Let o(t) = -t**3 + 5*t**2 - 4*t. Let s be o(v). Let u = 66 - s. List the prime factors of u. 2, 43 Let j(m) = -28*m + 2. Let k be j(-1). Let q = k + -29. Let u(p) = 86*p**3 - p**2 + p - 1. List the prime factors of u(q). 5, 17 Let o(a) = 56*a + 240. List the prime factors of o(61). 2, 457 List the prime factors of ((-92)/(-3))/(396/116721). 3, 23, 131 Let m(i) = -i**2 - 49*i - 328. Let w be m(-8). Suppose w = -2*l + 2489 + 1109. What are the prime factors of l? 7, 257 Let s be 4*(-12)/(-16)*(-190)/6. Let g(o) = o**2 + 9*o - 10. Let m be g(-9). What are the prime factors of -3 + 0 - (s - m)? 2, 41 Suppose -4*v = 13*v + 442. List the prime factors of (v/(-6))/(4/(68 - 8)). 5, 13 Suppose 0 = -4*x + 184 - 168. List the prime factors of 7341/12 - (-5)/x. 613 Let b = 873 + 6198. Suppose -255 = -11*s + b. List the prime factors of s. 2, 3, 37 Suppose 1086*t - 1091*t = 4*x - 1089, -656 = -3*t - 5*x. Let o = 21 - 12. Suppose -t = -o*b + 863. List the prime factors of b. 2, 3, 5 Let a(i) = 5 - 4 + 0 + 0 + i. Let s(p) = -2*p + 12. Let o(t) = 6*a(t) + s(t). What are the prime factors of o(9)? 2, 3 Suppose 83*s = 17*s + 47*s + 374224. List the prime factors of s. 2, 1231 Let n(y) = 29*y**2 + y - 7. Let f be n(-5). Let q(w) = w**3 - 18*w**2 + 17*w + 4. Let h be q(17). Suppose f - 81 = h*v. What are the prime factors of v? 2, 79 Let v be -1 + 1366 + 1 + -5 + 5. Let z = -748 + v. What are the prime factors of z? 2, 3, 103 Suppose 11*t + t - 20*t = -166568. What are the prime factors of t? 47, 443 Suppose -2*w - 94174 = -909*n + 907*n, 2*w - 47084 = -n. List the prime factors of n. 2, 13, 1811 Suppose 5*n - 6419 + 361 = -3*o, 3654 = 3*n - 3*o. Suppose 0 = 2*v - n - 86. List the prime factors of v. 2, 5, 13 Suppose 2*x + 14 = -2*b - b, -4*b - 30 = -3*x. Let c be (8/b)/((-10)/(-180)). List the prime factors of -292*(-4)/c*9/(-2). 3, 73 Let l = -19 + 3789. List the prime factors of l. 2, 5, 13, 29 Let w be ((-97)/3)/(976/(-108) + 9). Suppose -6*m = -465 - w. List the prime factors of m. 223 Let d(r) = r**3 + 64*r**2 + 56*r - 47. List the prime factors of d(-63). 2, 197 Suppose 13*d + 294 = 20*d. Su
{ "pile_set_name": "DM Mathematics" }
et l(c) be the third derivative of -c**5/30 - 2*c**3/3 + 3*c**2. What is the first derivative of l(a) wrt a? -4*a Let p(g) be the second derivative of -g**7/504 - g**5/120 + g**4/2 - g. Let w(z) be the third derivative of p(z). Find the first derivative of w(v) wrt v. -10*v Let w(t) be the second derivative of 7*t**5/10 - 5*t**2/2 + 19*t. What is the first derivative of w(v) wrt v? 42*v**2 Let b(w) = w + 15. Let u be b(-6). What is the second derivative of 11*j - 2*j + 2*j**2 - u*j**2 wrt j? -14 Find the second derivative of 3*k**3 - 587*k + 591*k - 3*k**3 - 8*k**4 wrt k. -96*k**2 Let c = -203 - -205. Let f(w) be the second derivative of -1/3*w**3 - w**c + 0 + w. What is the first derivative of f(s) wrt s? -2 Differentiate 13 - 9*f**3 + 24 - 4*f**3 - f**2 wrt f. -39*f**2 - 2*f What is the second derivative of -6*q**5 - 112*q + 123*q - 6*q**5 wrt q? -240*q**3 Let b(f) be the second derivative of 5*f**4/12 + f**2/2 - 5*f. Differentiate b(y) wrt y. 10*y Let i(u) be the second derivative of 3*u**5/5 - u**4/4 + 19*u**3/2 - u**2/2 - 41*u. Find the second derivative of i(l) wrt l. 72*l - 6 Suppose 8 = 2*i - 4*u, -3*u + 0 - 3 = 0. Suppose -i*t + 4 = 0, t + 23 = 3*o + 5*t. Find the second derivative of o*h**5 - 5*h**5 - 3*h**5 + h wrt h. -60*h**3 Let l(z) be the third derivative of 0*z**6 + 0*z**5 + 0*z**7 + 1/168*z**8 + 1/12*z**4 - z**2 + 0 + 0*z + 0*z**3. Find the second derivative of l(m) wrt m. 40*m**3 Let i = -8 + 11. Find the third derivative of 9*a**2 - 2*a**4 - a**4 + 7*a**4 - i*a**2 wrt a. 96*a Let c(r) be the second derivative of 5/42*r**7 + 0*r**3 - 6*r + 2/3*r**4 + 0*r**5 + 0 + 0*r**6 + 0*r**2. Find the third derivative of c(y) wrt y. 300*y**2 Let m(t) be the first derivative of 2*t**6/15 - t**2/2 - t + 1. Let r(z) be the first derivative of m(z). Find the first derivative of r(c) wrt c. 16*c**3 Let m(x) be the second derivative of -x**6/360 + x**5/40 - 7*x**3/6 + 7*x. Let t(d) be the second derivative of m(d). Find the second derivative of t(w) wrt w. -2 Let a(k) = k**3 + 4*k**2 + 2*k - 1. Let x be a(-3). Suppose 3*d - 2*d = x. What is the third derivative of -m - m**6 + m - 2*m**d wrt m? -120*m**3 Let q(m) = 15*m**2 - 33*m. Let p(h) = 8*h**2 - 17*h. Let x(w) = -5*p(w) + 3*q(w). What is the second derivative of x(u) wrt u? 10 Suppose -2*o - 3*o + 100 = 0. Suppose -8 = -0*f - 3*f - u, -u = -4*f + o. Find the third derivative of -5*r - 2*r**2 + 5*r - 3*r**f wrt r. -72*r Differentiate 27 - 31 - 11*h**4 + h**4 with respect to h. -40*h**3 Let s(w) be the first derivative of w**5/20 + 2*w**3/3 - 4*w + 5. Let o(i) be the first derivative of s(i). Find the second derivative of o(n) wrt n. 6*n Let r(t) be the third derivative of 11*t**9/504 + 13*t**5/60 + 11*t**2. What is the third derivative of r(k) wrt k? 1320*k**3 Suppose 0 = 5*q - 6*q. Let g(f) be the second derivative of q - f - 1/3*f**3 - 1/2*f**2. What is the derivative of g(t) wrt t? -2 Let p = 6 - 12. Let j(k) = -4*k**2 + 6*k - 3. Let o(f) = -4*f**2 + 5*f - 3. Let x(v) = p*o(v) + 5*j(v). Differentiate x(t) with respect to t. 8*t Let n(q) = 1 - 10 - 13*q + 5*q. Let m(h) = -17*h - 19. Let o(p) = 6*m(p) - 13*n(p). Differentiate o(s) with respect to s. 2 Suppose -2*q = -4*c - 20, q - c - 3 = 3. Differentiate 6*i**q + 6*i**4 - 8 - 6*i**2 wrt i. 24*i**3 Let m be -3*2*4/(-6). Let f = -2 + 4. What is the first derivative of 6 - m - f*j + j wrt j? -1 Let m(q) = 3*q**2 + 6*q + 5. Let t = 12 + -19. Let k(x) = -4*x**2 - 7*x - 6. Let i(v) = t*m(v) - 6*k(v). Differentiate i(j) wrt j. 6*j Suppose 0 = 4*k + 3*u - 33, 0*u = 4*k - 2*u - 18. Suppose 8 = k*o - 2*o. What is the derivative of -h**2 - 2*h**2 - 9 + 2*h**o + 6 wrt h? -2*h Let v(q) be the third derivative of 5*q**4/24 + 11*q**3/6 + 10*q**2. What is the first derivative of v(j) wrt j? 5 Let i(k) be the second derivative of k**3/2 - 3*k**2/2 + 7*k. Differentiate i(t) wrt t. 3 Let q(o) = o**3 + o**2 + o - 1. Let w(n) = 10*n**3 - 5*n**2 + 8*n + 5. Let k(c) = -5*q(c) - w(c). What is the second derivative of k(z) wrt z? -90*z Let m(n) be the second derivative of 5*n**4/3 + 5*n**3/3 + 21*n. What is the second derivative of m(t) wrt t? 40 Let o(a) = 25*a**3 - 86*a**2 - 17. Let l(g) = 8*g**3 - 29*g**2 - 6. Let j(z) = -17*l(z) + 6*o(z). What is the third derivative of j(i) wrt i? 84 Let m(l) be the third derivative of -1/20*l**5 + 0 + 0*l + 5*l**2 - 3/8*l**4 + 0*l**3. Find the second derivative of m(a) wrt a. -6 Let v(g) = -4*g + 6. Let u = 24 - 17. Let q(n) = n**2 + 7*n - 11. Let l(o) = u*v(o) + 4*q(o). What is the first derivative of l(j) wrt j? 8*j What is the second derivative of 2*g**2 + 9*g - 17*g**3 - 2*g**2 wrt g? -102*g Let h(x) be the third derivative of -x**7/105 + x**4/24 - 7*x**2. What is the second derivative of h(j) wrt j? -24*j**2 What is the first derivative of -3 - 2*m - 5*m - m - 5 wrt m? -8 Suppose 0 = 4*t - 11 + 3. Find the second derivative of 92*m**2 - 92*m**t - 5*m**4 - 4*m wrt m. -60*m**2 Let u(o) = -7*o**2 - 13*o - 6. Let f(s) = 13*s**2 + 25*s + 11. Let a(p) = 6*f(p) + 11*u(p). Find the second derivative of a(q) wrt q. 2 Let h(g) = 16*g**3 + 21*g**2 - 7*g. Let q(r) = -11*r**3 - 14*r**2 + 5*r. Let v(m) = -5*h(m) - 7*q(m). What is the third derivative of v(o) wrt o? -18 Suppose 0 = j + 4*z + 8, -4 = 4*j + 2*z - 0. Let w = 58 + -49. What is the second derivative of -w*m + 3*m**4 + j + 6*m + 0 wrt m? 36*m**2 Let n(f) be the third derivative of 2*f**7/15 - f**6/60 + 17*f**5/30 - 58*f**2. What is the third derivative of n(i) wrt i? 672*i - 12 Let x(o) be the first derivative of -o**8/56 - o**4/8 + 7*o**2/2 - 8. Let k(y) be the second derivative of x(y). What is the second derivative of k(a) wrt a? -120*a**3 Let p be 48/15 + (-6)/30. Differentiate -p*v**3 - 6 + v**3 + 6 + 4 wrt v. -6*v**2 Let u(h) be the second derivative of -4*h**7/7 - 7*h**4/3 + 19*h. Find the third derivative of u(k) wrt k. -1440*k**2 Suppose u + 0 = 1. Let n = 4 - u. Find the second derivative of 2*d - n*d**2 + 0*d + 0*d**2 wrt d. -6 Let g(s) be the second derivative of 0 + 0*s**2 - 1/3*s**3 - 1/2*s**4 + 5*s. Find the second derivative of g(v) wrt v. -12 Let t be 4/24*-4*-3. Find the first derivative of -5*a**t + 2*a + 10*a**2 + 1 - 2*a wrt a. 10*a Suppose -2*k - 25 = -7*k. Let j(c) = c. Let l(a) = -a - 1. Let o(y) = k*j(y) + 4*l(y). What is the first derivative of o(t) wrt t? 1 Let r(y) = 2*y**3 - y**2 - 3*y. Let l be r(3). Suppose l = 4*h - 0*h. Differentiate 2 - h*z + 7*z + 0 wrt z. -2 Suppose v - 2*q = -5 - 2, -4 = v - q. Let y = 1 - v. Find the second derivative of 2*z**5 + z**5 + 2 - z - y wrt z. 60*z**3 Let q(l) be the third derivative of -l**6/20 - l**3/6 + 6*l**2. What is the first derivative of q(b) wrt b? -18*b**2 Let v(h) be the third derivative of h**7/840 - h**5/40 + h**4/24 - 3*h**2. Let c(u) be the second derivative of v(u). Find the first derivative of c(f) wrt f. 6*f Let g be (-14)/(-10) - 6/15. Let m = g - -1. Find the second derivative of 7*x**2 - m*x - 6*x**2 + 0*x wrt x. 2 Let u(w) be the third derivative of -2*w**7/105 - 5*w**4/24 + 5*w**2. Find the second derivative of u(t) wrt t. -48*t**2 Let w(n) be the first derivative of n**6/6 - 11*n**3/3 + 5. Find the third derivative of w(s) wrt s. 60*s**2 Let q be 1 - 9/(1 + -2). Suppose 0 = -5*j + 5*s - q, -j - j + 20 = 4*s. Find the first derivative of 4*y**j - 1 - 2*y**2 + 2 wrt y. 4*y Find the third derivative of -8*s**2 + 31*s**6 + 2*s**2 + s**2 wrt s. 3720*s**3 Let d be 1 + (-3)/6*-8. Suppose 12 = -l + d*l. What is the first derivative of 2 - l*t**4 + t**4 - 1 wrt t? -8*t**3 What is the first derivative of -p**3 - 10*p**3 - 288 + 287 wrt p? -33*p**2 Let y(r) = -2*r**2 - 3*r + 6. Let n(i) = -4*i**2 - 5*i + 11. Let b(j) = 6*n(j) - 11*y(j). What is the second derivative of b(d) wrt d? -4 Let g(s) be the third derivative of 0 - 1/4*s**4 + 0*s**3 + 8*s**2 - 1/15*s**5 + 0*s. What is the second derivative of g(x) wrt x? -8 Let b(m) be the second derivative of m**7/168 - m**4/24 + m**3/3 - m. Let o(v) be the second derivative of b(v). What is the derivative of o(k) wrt k? 15*k**2 Find the third derivative of -29*j**2 - 1241*j**3 - 13*j**5 + 1241*j**3 wrt j. -780*j**2 Suppose -9 = -3*w - 0*w. What is the derivative of -2*m**2 - 4 + 2*m**2 + w*m**3 - m**3 wrt m? 6*m**2 Let d = 3 - 0. Suppose -5*c - d*k
{ "pile_set_name": "DM Mathematics" }
(343/4) Simplify ((((z**(-9)/z)/z**(-22))**(-13))**(-3/2))**(-2/21) assuming z is positive. z**(-156/7) Simplify (z**7*z*z/(z/z**(3/2))*z)/((z/(z/(z/z**(6/7))))/z**7)*(z**(-1/3)*z)**(-1/25)/((z/((z*z**(-2/11)/z*z*z)/z*z))/z**(-6)) assuming z is positive. z**(140317/11550) Simplify ((((m/(m*m**(-11)))**(-21))**(4/3))**(-7/2))**(-2/15) assuming m is positive. m**(-2156/15) Simplify ((u*u**(-4)*u**7*(u*u**(-1))**(-5))**(-3/11))**(-1/11) assuming u is positive. u**(12/121) Simplify ((t/t**(1/5))/(t**(-1/3)/t)*(t/t**(1/4))**34)**24 assuming t is positive. t**(3316/5) Simplify (((b*b**(1/4)/b)**50/(b/(b/(b**(-1)/b*b))*b)**(-6/19))**(2/7))**(5/6) assuming b is positive. b**(125/42) Simplify ((h**(-2/7))**50)**(-3)*((h/(h/(h/(((h*h**(4/5))/h)/h))))/(h*h**3))/(h**2)**(-27) assuming h is positive. h**(3292/35) Simplify ((h**(-25))**49*((h/(h/h**(1/27)))/h)/(h/(h*(h**(-2/25)*h)/h)*h))**(-1/3) assuming h is positive. h**(828254/2025) Simplify ((h**(-2)*h**(-4))/(h/((((h*h/(h**2/h))/h)/h*h)/h))**28)/(h**(-3)/h*h*h*h**(-2/5))**(-1/14) assuming h is positive. h**(-2176/35) Simplify a*a*a**0*(a*a**(-2)/a)/a*(a**1*a)**(-2/37)*(a*a**(-3/8)*a**2)**(-41) assuming a is positive. a**(-32185/296) Simplify (((u/u**(-3)*u)/u**7)/(u**0*u*u)**(-12/7))/(u**(-4/5)*(u*u*u**(-2/13))/u*(u**(-1))**(1/36)) assuming u is positive. u**(23099/16380) Simplify ((((g**(-4/3)/g)/g)/g*g)/g*g*g/(g**(-20)/g))/(g**(1/4))**(-3) assuming g is positive. g**(233/12) Simplify (((j*j**4*j*j/j**(-2/3))**(-36/5))**(1/48))**(2/35) assuming j is positive. j**(-23/350) Simplify ((r**(2/27))**(4/17)/((r/(r*r**0))/(r*r**17)))**(-1/4) assuming r is positive. r**(-4135/918) Simplify (s*s*s**6/s)/s**(-3/7)*(s*s**1)/s*s**(-3/5)*s*(s**(-2/5))**38/(s/s**(-7)*s/(s*s**7*s)) assuming s is positive. s**(-223/35) Simplify ((j/(j*j**(-2/3)))/j*j*j/j**2)**46/(j**(5/2)*(j*(j**(1/2)*j)/j)/j)**(24/13) assuming j is positive. j**(-814/39) Simplify (((d/d**(-1/5))/d)/(d/(d/d**(-4/7))))/((d*d/(d*d**(-3/4)))/d**(-2))*(d**(-1)/d)**(-11)/(d**(-1/4)/d**(-2)) assuming d is positive. d**(1209/70) Simplify (y**(-1/9)/y)/y**(-4)*(y*(y**0*y)/y)**(-15/4)*((((y*y**(1/5))/y)/y*y)/y*y*y**(-4/5))**(-28) assuming y is positive. y**(2869/180) Simplify ((s**5/s*s/(s/(s/s**(5/2))*s*s)*s)/(s**(1/5)/(s/(s**8/s))))/(s**7*s**(2/11))**46 assuming s is positive. s**(-36857/110) Simplify ((f**(-4)*f/(f/(f/((f/f**(2/21))/f))))/(f**1)**14)/(((f/f**7)/(f*f/(f/(f*f**(-2/15)))))/((f**(4/7)*f*f)/f*f**(1/6))) assuming f is positive. f**(-73/10) Simplify ((w*w**(-2/3))/((w*w/(w**(6/5)*w))/w))**(-17/4)/((w*w**(4/7))/w*w**(-1/3)/w*w*w*(w**(2/5))**(-20/3)) assuming w is positive. w**(-2137/420) Simplify (a**(-3/7)*a**5)**(-4/11)/((a*a**(1/4)/a*a)**(18/5)/(a/a**(-2/11)*a**(-2/3))) assuming a is positive. a**(-2609/462) Simplify (g/(g/g**(-9))*g*g/(g**0*g*g*g))**(-19)*((g**(5/4)*g)/g**(-1/4))**(-46) assuming g is positive. g**75 Simplify ((m/(m/(m**(-4/7)*m*m)))/m)**27*(m*m*m*m**(1/9)*m)/(m*m*m**24*m) assuming m is positive. m**(-713/63) Simplify ((f*f**(-1))/f**(-1))/(f/((f**0*f)/f)*f)**(-4/7)*(f**(-2/9)*f/(f*f**6))**17 assuming f is positive. f**(-6529/63) Simplify (f**(-2)*f/(f*f**6))**34/((f/(f/((f*f**0*f*f)/f))*f*f*f)**(-30)/(((f*f**(-2/15)*f)/f)/(f*(f*f*f**(3/5))/f))) assuming f is positive. f**(-1856/15) Simplify (z**6/z*(z**(-4/3)*z*z)/z)/((z/(((z*z/(z/z**(2/5)))/z)/z)*z)/((z**(-3/7)*z)/z))*z**(-2)/z*z*z*z**5*z/(z/z**(-7))*z*z**6 assuming z is positive. z**(592/105) Simplify ((y**(2/5)/y)/(y**1*y)*y**6/y**(-2/21))/((y**(-2/3))**(-37/3)/(y/y**(-2/19)*y*y/(y**(-6)*y))) assuming y is positive. y**(20219/5985) Simplify ((z*z*(z**(-2/7)/z)/z)**(-35)*z/((z*(z**(-5)/z*z)/z*z)/z)*z*z*z**(-2))/((z*z**(1/3)*z)/z**(-1/3)*(z*z**(1/2))**(-28)) assuming z is positive. z**(166/3) Simplify ((c/(c*c*c**(-1)/c))**(2/9)*c*c**(1/3)*c*c**(2/7))/((c**(-2/7))**(-2/31)*(c/((c/(c*(c*c*c**(-1/3)*c)/c))/c))**(-45)) assuming c is positive. c**(327758/1953) Simplify (((a/(a*a*(a/((a/(a/(a/(a**(-1)/a))))/a))/a)*a)**(-5/11)*(a*a*a**(-5)/a)/(a*a**(5/6)*a))**(9/11))**17 assuming a is positive. a**(-26061/242) Simplify ((i/(i*((i**7/i)/i*i)/i*i))/(i/i**(1/5)))**(9/4)/(((i*i*i**(-1/2))/i)**(-21)*(i**(-2/5)*i)/i**(1/3)) assuming i is positive. i**(-76/15) Simplify ((x**(-2/3))**(-4/11)*(x/((x/((x*x**(-4/9))/x)*x)/x*x*x)*x)/x**(-1/4))/(x**(-3)*x**(2/13)/x*x*x*x*x**(-1/4)*x*x/x**(1/11)) assuming x is positive. x**(-413/234) Simplify t**(3/14)/(t*t/((t**(-3/32)*t)/t))*(t**(-35)/t)**2 assuming t is positive. t**(-16549/224) Simplify ((x**(1/6))**(1/14)/(x/(x/x**(-6)))**(5/8))**(-3/41) assuming x is positive. x**(-79/287) Simplify (b/(b*b*b**(-1/4)*b))**(-2/9)/(b**(2/3)/(b**(3/7)/b*b))*((b**(-2/7)/b)**(-31))**(-13) assuming b is positive. b**(-65267/126) Simplify (n/((n**(-2/3)/n)/n))**16*n**(-4)/((n*n*(n/n**(1/9))/n*n)/n*n)*((n/(n*n**(-2/5))*n)/n**(3/5))/(n/(n/(n**(-5)*n)*n)*n**(-2)) assuming n is positive. n**(2681/45) Simplify (u**(-1/4))**(-36)/(u*u**(-1))**(-42)*((u*u**1)**12)**(-2/7) assuming u is positive. u**(15/7) Simplify ((a**(-1/2)/a)/a)**(-24)*(a**3/a*a)/(a**(-1)/a)*(a**(-2/27)/(a/(a**(1/7)/a)))**(11/2) assuming a is positive. a**(20555/378) Simplify (y*y**(-4/3)*y**(2/19)*(y*y**(-2/5))/y*y**(-1)/y)/(((y/(y/y**(-1)))/(y*y*y*y**(-6)))/(y**(-1))**(-37)) assuming y is positive. y**(9226/285) Simplify (((b**(-1/2))**(-37)/(b**(1/6)/(b*b**(-2/5))))**(2/41))**(-48) assuming b is positive. b**(-9088/205) Simplify (i**(6/5)*i**7/i)/(((i**(-9/4)*i)/i)/(i*i*i**(-2/69)*i)) assuming i is positive. i**(17141/1380) Simplify (v**(-30)/v**(-10)*(((((v*v/v**12)/v)/v)/v)/v)/(v*v**26*v))**7 assuming v is positive. v**(-434) Simplify (d**5/d**(4/3)*d**(-1)/d**(-6))/((d**2)**49*(d*d*d*d**(-1/4)*d*d*d)**(-2/3)) assuming d is positive. d**(-171/2) Simplify (((o/o**(3/2))/o*o)/o**(2/3))**(3/44)*(o**(7/3)*o**(2/19)*o)/((o*o**(-2/13))/o*o**(-1/7)/o*o) assuming o is positive. o**(1668691/456456) Simplify (o**(1/3)*o*o**5/o)**(-1/22)/((o**(-1))**2*(o*o**(-5)*o)/o**4) assuming o is positive. o**(289/33) Simplify ((l**(-4)/((l*l**(-2/7))/l))/(l/(l**1*l))**(3/8))/(l*(l**(2/11)/l)/l*l*l*l**10)**(-34) assuming l is positive. l**(232135/616) Simplify (t**(-1))**18*t**4/(t**0/t)*(t/(t**(1/10)/t)*t**(-1/2))/((t/((t/(t*(t*t**(1/3)/t)/t)*t)/t))/(t**(-1/4)/t)) assuming t is positive. t**(-791/60) Simplify a**(11/3)*a**(-12/11)*(a**(-15)*a)**(20/7) assuming a is positive. a**(-1235/33) Simplify ((r/(r**(-2)/r))/r*r**7)/(r*r/r**1)**(-1/3)*(r/(((r**(-2/3)/r*r)/r)/r))**30/(r**(-3/2)/(r**(-4/5)/r)) assuming r is positive. r**(3601/30) Simplify ((j**(-2))**(18/11))**(-46)/(j**(-5)/j**(-6)*j/(j/(j**5/j))*j*j**2) assuming j is positive. j**(1568/11) Simplify ((l/l**(-24))**42*((l/(l/(l/l**(-6)))*l)/l)/l*l*(l/l**(2/113))/l)**(-45) assuming l is positive. l**(-5374755/113) Simplify ((s**(-2/17))**37*s**(-39)*s/(s*s*s/((s*s**(-1)/s)/s*s*s)))**26 assuming s is positive. s**(-20046/17) Simplify ((u**(3/4)/u)/u**0*(u**(-2)*u)**(-5/12))/(((u*u*u/(u*(u/u**(-7))/u))/((u*u**7)/u))/((((u/((u**(-1/4)/u)/u))/u)/u)/u*u)**(-3/8)) assuming u is positive. u**(1123/96) Simplify ((z**(-1/8)/z)/(z**(-16)/z)*z**(-2/21)*z*z**(3/14)/z)**(-1/12) assuming z is positive. z**(-2687/2016) Simplify ((o**(-2)/((o**(2/5)/o)/o))/((o*o**(1/2)/o)/(o/o**(2/7))))/(o**5/o**(-1)*o**3/(o*o**(-6))) assuming o is positive. o**(-993/70) Simplify ((o*o*o/(o/o**(-1)*o)*o*o)**(7/5)*o**(-2/9)/(o*(o/(o**(2/7)/o))/o*o))/(o**(-1/4)/(o/(o*o**(-3))))**(8/9) assuming o is positive. o**(289/105) Simplify ((v*v*v**(-1/6))/(v/(v*(v**(-8/7)*v)/v)))**(-9)/((v/(v/(v*v**(2/7))*v))**11/(v**(3/2)/(((v*v/(v/v**(1/3)*v))/v)/v))) assuming v is positive. v**(-130/21) Simplify ((u**2*u*u)**(-10))**(13/2)*(u*u/u**(1/6)*u)/(u/(((u**(-1/9)*u)/u)/u))*u**(-1/3)/((u**8/u)/u) assuming u is positive. u**(-4781/18) Simplify ((g**(-3/7)/(g/(g/g**(-2/5))*g))/((g/g**7)/g**(-5/6)))/((g**(-1/2))**40*(g**2/g)/g**(-4)) assuming g is positive. g**(4019/210) Simplify (((a**2*a*a)/(a**6/a))/(a**(-4)*a/a**3))/(a**(1/4)*(a*a/a**(-9))/a)**(-12) assuming a is positive. a**128 Simplify ((j**(3/10)/j)**(1/3)*(j*j**(3/5)/j*j*j)**22)**(-1/2) assuming j is positive. j**(-1709/60) Simplify (f**40)**(5/4)*f*f**(-23)/f*f*(f/f**(-13))/f*f*f assuming f is positive. f**43 Simplify ((g/(g/g**(-1/5))*g**12)/(g**(-1/1
{ "pile_set_name": "DM Mathematics" }
118, 176, 234, 292? 350 What comes next: 204, 365, 530, 699, 872? 1049 What is next in -17, -48, -99, -170? -261 What comes next: -205, -250, -297, -346, -397? -450 What is next in -99, -206, -325, -462, -623, -814, -1041, -1310? -1627 What is the next term in 7, 17, 43, 91, 167? 277 What comes next: 14, -3, -26, -55, -90, -131, -178? -231 What is the next term in -79, -210, -339, -466, -591, -714, -835? -954 What comes next: 21, 17, -5, -57, -151? -299 What is next in -252, -236, -222, -210? -200 What comes next: 75, 81, 97, 129, 183, 265, 381? 537 What is next in 1, 10, 21, 34, 49? 66 What is the next term in 34, 53, 76, 103, 134? 169 What is next in 0, 24, 88, 216, 432, 760? 1224 What is the next term in 1389, 1391, 1393, 1395, 1397? 1399 What is next in 225, 880, 1965, 3480, 5425, 7800, 10605? 13840 What is the next term in 5039, 5062, 5099, 5156, 5239, 5354? 5507 What is next in 35, 36, 37? 38 What comes next: 1542, 1541, 1540, 1539, 1538, 1537? 1536 What comes next: 5, -5, -23, -49, -83, -125, -175? -233 What is the next term in -828, -1639, -2436, -3213, -3964, -4683, -5364, -6001? -6588 What comes next: 36, 59, 82, 105, 128? 151 What comes next: 5, 21, 41, 59, 69, 65, 41, -9? -91 What is next in -711, -725, -739, -753, -767? -781 What comes next: 268, 405, 530, 637, 720, 773, 790, 765? 692 What is the next term in -273, -274, -275, -276, -277, -278? -279 What is next in 1111, 2224, 3337, 4450? 5563 What is next in 23, -20, -113, -280, -545, -932? -1465 What is the next term in 81, 149, 209, 261, 305, 341, 369? 389 What is the next term in 54, 42, 18, -18, -66? -126 What is next in -152, -159, -168, -179, -192, -207, -224? -243 What is the next term in 234, 743, 1590, 2775, 4298? 6159 What is next in 142, 153, 170, 193, 222, 257? 298 What comes next: -3063, -3054, -3045? -3036 What is the next term in -23, 7, 77, 199, 385, 647, 997? 1447 What is the next term in 35, 62, 79, 80, 59, 10, -73, -196? -365 What is next in 6337, 6344, 6365, 6406, 6473, 6572, 6709? 6890 What comes next: -10, 9, 40, 89, 162, 265, 404? 585 What is next in 709, 1417, 2125? 2833 What comes next: -6, -11, -18, -27, -38? -51 What comes next: 97, 168, 235, 298, 357, 412? 463 What is the next term in 26, 28, 42, 74, 130, 216? 338 What is the next term in 10, 15, -6, -65, -174, -345? -590 What comes next: -100, -104, -108, -112, -116, -120? -124 What comes next: -16, -21, -32, -49, -72, -101, -136? -177 What comes next: -1282, -2565, -3848? -5131 What comes next: 16, -44, -180, -398, -704? -1104 What is next in 117, 194, 271? 348 What is the next term in -19051, -38077, -57091, -76087, -95059, -114001, -132907, -151771? -170587 What is the next term in 97, 113, 139, 175? 221 What is next in -1256, -1248, -1240, -1232, -1224? -1216 What comes next: -51864, -51863, -51862? -51861 What comes next: -1838, -3670, -5502, -7334, -9166, -10998? -12830 What comes next: 65, 135, 205, 275, 345? 415 What is next in 3561, 3567, 3571, 3567, 3549, 3511, 3447, 3351? 3217 What is the next term in -119, -236, -353, -470, -587? -704 What is the next term in -35, -176, -411, -740, -1163, -1680? -2291 What is next in -9, 12, 83, 228, 471? 836 What is next in 19, 0, -31, -74, -129, -196, -275? -366 What is the next term in -199, -419, -641, -865? -1091 What comes next: -901, -1804, -2705, -3604, -4501? -5396 What is the next term in 41, 56, 71, 86, 101, 116? 131 What is next in 13, 32, 51, 70? 89 What comes next: 168, 329, 488, 645? 800 What is the next term in 121, 82, 45, 10? -23 What is next in 41, 101, 201, 341? 521 What is the next term in 1107, 2207, 3305, 4401, 5495, 6587? 7677 What is the next term in 379, 403, 445, 511, 607, 739? 913 What is next in -4, -15, -36, -67, -108, -159? -220 What comes next: -52, -106, -160? -214 What is the next term in -102, -328, -704, -1230, -1906? -2732 What is next in -136, -251, -366, -481, -596? -711 What is the next term in 19, 73, 147, 229, 307, 369, 403? 397 What is the next term in 461, 467, 477, 491, 509, 531? 557 What comes next: 23, 46, 71, 98? 127 What is next in -347, -303, -177, 73, 489, 1113? 1987 What comes next: 25, 64, 115, 184, 277, 400? 559 What comes next: -39, -76, -111, -138, -151, -144, -111? -46 What is next in 139, 130, 107, 64, -5? -106 What is next in -4061, -4063, -4067, -4073? -4081 What comes next: 10, 22, 36, 46, 46, 30, -8, -74? -174 What comes next: -580, -1161, -1742, -2323, -2904, -3485? -4066 What is the next term in 68, 91, 118, 149, 184, 223? 266 What comes next: -8, 5, 38, 91, 164? 257 What comes next: -19, -81, -185, -331, -519, -749, -1021? -1335 What is the next term in -21, -85, -257, -591, -1141, -1961, -3105? -4627 What is next in 19, 5, -39, -113, -217? -351 What is the next term in 4, 12, 36, 82, 156, 264, 412, 606? 852 What is the next term in 22, 92, 210, 376, 590, 852? 1162 What is the next term in 21, 244, 851, 2034, 3985, 6896, 10959, 16366? 23309 What is the next term in -115, -121, -139, -175, -235, -325, -451, -619? -835 What is next in -27, -41, -71, -123, -203, -317? -471 What is the next term in 2, 12, 30, 56, 90, 132, 182? 240 What is the next term in 134, 270, 410, 554? 702 What is next in 23, -11, -39, -55, -53? -27 What comes next: 5993, 11989, 17985, 23981, 29977? 35973 What comes next: 5290, 10579, 15868? 21157 What is next in 69, 120, 197, 294, 405, 524, 645, 762? 869 What is next in -277, -305, -333, -361, -389, -417? -445 What is the next term in -56, -118, -172, -212, -232, -226? -188 What comes next: 76, 148, 276, 466, 724, 1056, 1468? 1966 What comes next: 39, 63, 87, 111, 135, 159? 183 What is next in 228, 264, 300, 336? 372 What is the next term in 24, 16, -6, -48, -116, -216? -354 What is the next term in -15, -29, -45, -63, -83, -105, -129? -155 What is next in -5, 17, 39, 61, 83? 105 What is the next term in -33, -8, 17, 42, 67? 92 What is next in -48, 15, 186, 519, 1068? 1887 What comes next: -400, -403, -410, -421, -436, -455, -478? -505 What comes next: 3496, 3494, 3492, 3490, 3488, 3486? 3484 What comes next: -55, -216, -485, -862, -1347? -1940 What is the next term in -1714, -3427, -5138, -6847, -8554, -10259? -11962 What is next in -53, -56, -59, -62? -65 What comes next: 69, -10, -215, -606, -1243, -2186? -3495 What is the next term in -1595, -1596, -1597, -1598? -1599 What comes next: -1896, -1893, -1890, -1887, -1884, -1881? -1878 What is next in 11545, 23092, 34639, 46186, 57733? 69280 What is next in -8, -6, 4, 22, 48, 82? 124 What is next in -33, -71, -157, -309, -545? -883 What is the next term in 11, -21, -73, -151, -261? -409 What is the next term in -122, -138, -138, -116, -66, 18, 142? 312 What is the next term in -66, -191, -376, -621, -926, -1291, -1716? -2201 What is the next term in -26, -33, -40, -47? -54 What is the next term in 6, 35, 120, 291, 578, 1011, 1620? 2435 What is next in 40, 49, 56, 55, 40, 5? -56 What comes next: -32, -40, -60, -98, -160? -252 What is the next term in 5219, 10436, 15653, 20870, 26087? 31304 What is the next term in 40, 158, 354, 628? 980 What is the next term in -26, -74, -158, -284, -458, -686, -974? -1328 What is the next term in -184, -177, -166, -151, -132, -109? -82 What is next in -106, -305, -842, -1885, -3602, -6161? -9730 What comes next: 76, 109, 142? 175 What comes next: 2930, 5853, 8762, 11651, 14514, 17345? 20138 What is the next term in 73, 150, 227, 304? 381 What comes next: 654, 661, 656, 633, 586, 509? 396 What comes next: -223, -448, -673? -898 What is the next term in -1, -21, -55, -103, -165, -241, -331? -435 What is the next term in 29445, 29443, 29441, 29439, 29437, 29435? 29433 What comes next: -109, -221, -337, -457, -581, -709, -841? -977 What is next in -48, -52, -72, -120, -208, -348, -552, -832? -1200 What is the next term in 6, -14, -60, -144, -278, -474, -744, -1100? -1554 What is the next term in -52, -56, -64, -76, -92, -112, -136? -164 What comes next: -12, -67, -218, -513, -1000, -1727, -2742? -4093 What is next in 10, 22, 34? 46 What comes next: -23, -38, -59, -86, -119, -158? -203 What comes next: -12783, -12773, -12761, -12747, -12731, -12713, -12693? -12671 What is next in 18, 41, 70, 105, 146, 193, 246? 305 What is the next term in 33, 140, 319, 570, 893, 1288, 1755? 2294 What is
{ "pile_set_name": "DM Mathematics" }
u be n(50). What is the greatest common divisor of l and u? 23 Let q be (-1)/(8/(-44))*40. Suppose -76*n + 66*n = -q. Let s be -2 - (-60 + (3 - 0)). What is the highest common divisor of s and n? 11 Let n(i) = 66*i + 4443. Let k be n(-58). Calculate the greatest common divisor of 555 and k. 15 Suppose 3*m = 21, -87*m - 91 = -5*h - 90*m. What is the highest common divisor of h and 328? 2 Suppose -227 + 862 = -5*q. Let l = q - -226. Suppose 0*n + w + 49 = 4*n, -3*n + w + 38 = 0. What is the greatest common divisor of n and l? 11 Suppose -4*m + 11 = 2*a - 21, 5*m = a - 2. Suppose 4*n - 11 = 1. Let v = n + a. Calculate the highest common divisor of 135 and v. 15 Suppose -4*z + 264 = 4*t, -5*z + 326 = -0*z + 4*t. Suppose -2*v = 2*i - 0*i - z, 0 = -2*i + 4. What is the highest common factor of v and 87? 29 Let y be 3*((-212)/12 - 2/3). Let f = 9 + y. Let o = f + 74. Calculate the greatest common divisor of o and 21. 7 Let f be (32/4 + -9)*-4. Suppose 456 = 4*d - 2*h, f*d - h = 8*d - 456. What is the highest common factor of d and 42? 6 Let d(g) = -866*g + 172. Let i be d(-34). What is the highest common divisor of i and 48? 48 Suppose -r = -3*q + 5, 0*q = r + 2*q - 5. Let s be 3*r*((-70)/(-21) - -4). Suppose -6*i = -82 + 16. Calculate the highest common factor of i and s. 11 Suppose 120*a = 116*a + 12. Let j be (3765/(-10))/(-3)*2 - a. What is the highest common factor of 8 and j? 8 Let i = 4056 - 2472. What is the greatest common factor of 33 and i? 33 Suppose -4*f = 5*q + 29, -12*q + 9*q - f - 16 = 0. Let h be (-872)/40*q - 1. Calculate the greatest common divisor of h and 12. 12 Suppose -2*d + 3*q = -0*d - 180, -1080 = -12*d + 2*q. Calculate the highest common divisor of d and 20565. 45 Let h(l) = -2*l**3 - 6*l**2 - 11*l - 11. Suppose -25 + 0 = 5*u. Let s be h(u). Suppose -o = -10*o + s. Calculate the greatest common factor of o and 24. 8 Let j be (17 + 7)*3/9 + 498. Calculate the greatest common factor of 176 and j. 22 Let a be 6/4 + -5*1/(-10). Let o be 2*(3/a - (-13 + 13)). Let c(x) = 2*x - 3. Let s be c(3). What is the greatest common factor of s and o? 3 Suppose 3*v = 2*m + 860, 4*v - 572 = 2*v + 2*m. Let w(k) = -k + 38. Suppose -5*y + 18 = -2*y. Let z be w(y). Calculate the greatest common divisor of v and z. 32 Suppose 4*r - 16 = -0*r. Suppose 113 = 4*v + 7*t, v + 4*t - 582 = -574. What is the greatest common factor of v and r? 4 Let v(m) be the second derivative of 0 - m**2 + 15*m + 1/6*m**4 - 1/3*m**3. Let f be v(-3). What is the greatest common divisor of f and 2? 2 Suppose 4*m + 3*m - 2191 = 0. Let l = 323 - m. Calculate the highest common factor of 10 and l. 10 Let f be (9 - 4)*(-4)/4. Let d be ((-16)/20)/(1/f). Suppose 0 = d*t - 42 - 78. What is the greatest common divisor of t and 40? 10 Let n be -1*(-4)/(-18) + (-2922012)/(-3726). Calculate the highest common divisor of 147 and n. 49 Suppose 20 = 54*c - 59*c. Let g(l) = -2*l. Let q be g(c). Let w be (2 + 1)/((-60)/(-2080)). What is the highest common factor of q and w? 8 Suppose 4*d - 37 = -5*x - 41, -4*d = -5*x + 4. Suppose 2*o + 751 = 4*i - 1091, -4*i - 2*o + 1838 = x. Calculate the greatest common factor of 20 and i. 20 Let o be ((-2)/2)/(19/2052). Let k = 104 + o. Let g be (2 - 1)/(k - (0 - 5)). What is the greatest common factor of 12 and g? 1 Suppose -102*x = -74*x - 3752. Calculate the greatest common factor of 46 and x. 2 Let c be (-43 - (-104 + 21))/((-4)/(-18)). What is the highest common factor of 5268 and c? 12 Suppose 4*p + 20 = -j, 20 = -p + 15. Suppose j = 7*i - 264 + 208. What is the highest common factor of i and 20? 4 Suppose 0 = -33*q + 28*q - 2*r + 546, -4*r = -2*q + 228. Suppose -3*t = -t - 60. Calculate the highest common divisor of q and t. 10 Suppose 0 = t - 3 - 9. Suppose -3*i + 569 = k, 4*i - 653 = -3*k + 94. Calculate the highest common divisor of t and i. 12 Suppose -18*f + 341 = 269. What is the greatest common divisor of 2754 and f? 2 Suppose 0 = 113*f - 89*f - 7123 + 211. What is the highest common factor of 168 and f? 24 Let a(n) = 460*n - 54. Let h be a(1). What is the highest common divisor of 21 and h? 7 Let w(k) be the first derivative of -8 - 4*k**2 + 0 + 2*k**2 - 4*k + 2. Let h be w(-5). What is the highest common divisor of 24 and h? 8 Let j(c) be the third derivative of -301*c**4/24 + 29*c**3/6 + c**2 + 70. Let x be j(-1). What is the highest common divisor of 30 and x? 30 Let u be (-18)/(4/(-12) - -1). Let j = -15 - u. Suppose 2*r - 4*g - 68 = 0, -3*g + 25 + 29 = 2*r. What is the highest common factor of r and j? 6 Suppose -11*f + 2*o + 2438 = -10*f, -12196 = -5*f + 7*o. What is the highest common divisor of 264 and f? 66 Let r = -10 + 25. Let z(o) = -4*o - 15. Suppose 8*t + 43 = -77. Let u be z(t). Calculate the greatest common factor of r and u. 15 Suppose 196*r + 14734 = 22729 + 16113. What is the greatest common divisor of r and 1599? 123 Suppose -4789 = 5*p - 2*z - 48783, -5*z = -4*p + 35168. What is the highest common factor of p and 163? 163 Let y = 107 + 124. Let b = 46152 + -46068. Calculate the highest common factor of b and y. 21 Suppose 4*v + 2*b - 23 = 11, -4*b + 36 = 4*v. Suppose 0 = 18*g - v - 28. Let y be (3 - 5)/(1 - 2). Calculate the greatest common factor of y and g. 2 Let p be (-3)/2*(-8)/4. Suppose -5*n = 5*y - p*n + 3, 4*n = -3*y - 13. Suppose 2*j + a = 27, y = -2*j - 3*a + 34. What is the highest common factor of j and 48? 12 Let x = 19197 + -12097. What is the greatest common factor of x and 200? 100 Let a(q) = -2*q**2 - q**3 + 5 + 4*q + 3*q**2 - 4 + 3. Let n be a(-2). Let b be n + -9 + 99*1. What is the greatest common factor of b and 14? 14 Let w = -82 + 140. Suppose -3 = 5*p - w. Let k = -43 - -142. Calculate the highest common factor of p and k. 11 Let l(q) = q**3 + q**2 + 193*q + 17265. Let s be l(0). What is the greatest common factor of 30 and s? 15 Suppose 4*x - 4 = 0, 5*i - 3159 = 2*i + 3*x. Suppose 0 = 2*d - 20, -23*d + 47*d + 122 = 3*g + 26*d. Calculate the greatest common factor of g and i. 34 Suppose 5*u + 146 = 641. Let z = -9319 + 9330. Calculate the highest common factor of z and u. 11 Suppose 116*p = 519*p - 6045. What is the greatest common factor of p and 183? 3 Let d = -64 - -91. Suppose -3*x = 2*o + 281, 0 = o - 17*x + 19*x + 143. Let v = 83 - o. What is the greatest common divisor of d and v? 27 Let c(z) = -z**3 + 18*z**2 + 51*z - 254. Let d be c(18). What is the greatest common divisor of 1245 and d? 83 Let k = -3452 - -3708. What is the greatest common factor of 336 and k? 16 Let f = -172 + 178. Let v be f/57 - (3 + (-184833)/171). Calculate the greatest common divisor of 22 and v. 22 Let j(q) = 157*q**2 - 151*q + 150. Let u be j(1). Calculate the highest common divisor of u and 598. 26 Let p(l) = -32*l**2 - 192*l - 90. Let g be p(-5). Calculate the greatest common divisor of 2338 and g. 14 Let s = 5834 + -5787. Calculate the highest common divisor of 12032 and s. 47 Let k = 8299 - 8274. Calculate the highest common factor of k and 115. 5 Let x = 4878 - 4855. Calculate the greatest common factor of x and 2047. 23 Suppose -2*b + 4*t + 734 = 0, 201 - 598 = -b - 4*t. Let q = 105888 + -105862. Calculate the greatest common factor of b and q. 13 Let l = -32 - -30. Let k be (-2)/(-5) + (l - 556/(-10)). Suppose g + 3*c - 8*c - k = 0, 0 = 2*g + 2*c - 132. What is the greatest common divisor of 8 and g? 8 Suppose 7*c - 677 = -222. What is the highest common divisor of 143 and c? 13 Suppose 0*y - 108 = 6*y. Let t = y + 94. Calculate the greatest common factor of t and 190. 38 Suppose 0 = -4*u - b + 6*b + 864, 5*u + 5*b - 1125 = 0. Calculate the greatest common factor of u and 459. 17 Let n be -1 + (-1105)/(-4) - (-681)/(-2724). Calculate the highest common divisor of n and 325. 25 Let c = -106 + 206. Let q(j) = -17*j + 127. Let m be (1 - 258/(-54)) + 2/9. Let y be q(m). What is the highest common divisor of y and c? 25 Suppose 2568 - 3720 = -12*l. Calculate the greatest common factor of l and 1552. 16 Suppose 6*y - 126 = -4*r + 4*y, 2*r = -3*y + 65. Let i be r + -3 - 1/(1 + -2). What is the greatest common factor of i and 725? 29 Let j(u) = u**3 + 8*u**2 + u - 1. Let m be j(-8). Let h(x) = -x**3 - 7*x**2 + 12*x - 5. Let b be h(m). What is the highest common divisor of b and 343? 49 Suppose f - 462 =
{ "pile_set_name": "DM Mathematics" }
hen two letters picked without replacement from {f: 3, k: 4}? 2/7 What is prob of sequence bw when two letters picked without replacement from bwiiz? 1/20 Three letters picked without replacement from hhchchhchhchhc. What is prob of sequence hhh? 3/13 Four letters picked without replacement from hglvgnvlvvqgnlv. What is prob of sequence nqng? 1/5460 Two letters picked without replacement from cdhscccd. Give prob of sequence ds. 1/28 What is prob of sequence ywy when three letters picked without replacement from cycccccwccyyccc? 1/455 Three letters picked without replacement from {d: 2, s: 2, t: 1, h: 1, a: 4}. What is prob of sequence sth? 1/360 What is prob of sequence pisb when four letters picked without replacement from bibpiaspbib? 1/330 What is prob of sequence bzb when three letters picked without replacement from bbbibiibrbibbirgz? 7/510 Three letters picked without replacement from {h: 9, j: 2}. Give prob of sequence hjj. 1/55 Four letters picked without replacement from {e: 3, h: 1, u: 2, s: 1, d: 3, t: 2}. What is prob of sequence usut? 1/2970 What is prob of sequence ab when two letters picked without replacement from {a: 4, h: 1, z: 1, q: 1, b: 5}? 5/33 What is prob of sequence ffsf when four letters picked without replacement from {s: 3, f: 11}? 45/364 What is prob of sequence ese when three letters picked without replacement from {e: 6, b: 2, o: 5, v: 2, s: 1}? 1/112 What is prob of sequence hc when two letters picked without replacement from hqvcccv? 1/14 Calculate prob of sequence ciic when four letters picked without replacement from ciiiiicii. 1/36 What is prob of sequence tzp when three letters picked without replacement from {e: 2, t: 1, x: 4, z: 3, p: 1}? 1/330 What is prob of sequence fse when three letters picked without replacement from wskpefps? 1/168 Three letters picked without replacement from {o: 3, t: 3}. Give prob of sequence tot. 3/20 Four letters picked without replacement from vgvtzvtvtzttttyztgzt. Give prob of sequence zzzv. 4/4845 Three letters picked without replacement from zcuzz. Give prob of sequence zuc. 1/20 Calculate prob of sequence xg when two letters picked without replacement from xttdutgggttgutg. 1/42 Calculate prob of sequence kkjk when four letters picked without replacement from ggbgkbgbmgj. 0 Four letters picked without replacement from iqpqetti. Give prob of sequence peqi. 1/420 Two letters picked without replacement from pmffzsf. Give prob of sequence sm. 1/42 Four letters picked without replacement from ooccc. What is prob of sequence ccoc? 1/10 What is prob of sequence mm when two letters picked without replacement from vemevvvvemvmjjvhr? 3/136 Four letters picked without replacement from tjccjjcct. What is prob of sequence cjcc? 1/42 Three letters picked without replacement from {j: 3, m: 3}. Give prob of sequence mmj. 3/20 What is prob of sequence fff when three letters picked without replacement from {b: 11, f: 5}? 1/56 Two letters picked without replacement from itttdfiddiidiiiiid. What is prob of sequence dd? 10/153 Two letters picked without replacement from xgxtkusxxggxggxk. Give prob of sequence ts. 1/240 Calculate prob of sequence bxbx when four letters picked without replacement from bxbbbxxbbbxbx. 28/429 Calculate prob of sequence xyxx when four letters picked without replacement from {y: 4, x: 10}. 120/1001 What is prob of sequence obbb when four letters picked without replacement from oooobbobooooooo? 1/455 What is prob of sequence mpmz when four letters picked without replacement from {m: 2, l: 4, z: 1, p: 2}? 1/756 Four letters picked without replacement from hdthhfstlthdssl. Give prob of sequence stsf. 1/1820 Four letters picked without replacement from {d: 5, c: 1, h: 3, e: 1, p: 1, s: 4}. What is prob of sequence ddec? 1/1638 Three letters picked without replacement from zpfiniafainnifiainna. Give prob of sequence pnp. 0 Three letters picked without replacement from pvhhhehphhpe. What is prob of sequence hph? 3/44 Four letters picked without replacement from {b: 1, t: 1, o: 2, z: 2}. Give prob of sequence btzz. 1/180 Two letters picked without replacement from zmmygze. Give prob of sequence gy. 1/42 What is prob of sequence yex when three letters picked without replacement from yeeyyeyyxeyyyx? 8/273 Calculate prob of sequence bor when three letters picked without replacement from borrroboroororrorr. 7/272 What is prob of sequence ess when three letters picked without replacement from eeeses? 1/15 Four letters picked without replacement from pnmznpzzpzznn. Give prob of sequence mnpn. 3/1430 Two letters picked without replacement from crcccr. What is prob of sequence rc? 4/15 Two letters picked without replacement from giiiigggggigpagiiag. What is prob of sequence ap? 1/171 Calculate prob of sequence gbzg when four letters picked without replacement from {z: 1, m: 5, g: 5, b: 7}. 7/3672 Calculate prob of sequence wd when two letters picked without replacement from dwh. 1/6 Calculate prob of sequence ld when two letters picked without replacement from {i: 1, n: 1, l: 1, f: 1, d: 1}. 1/20 Three letters picked without replacement from {e: 3, n: 2, p: 2, m: 2}. Give prob of sequence epp. 1/84 What is prob of sequence qqpn when four letters picked without replacement from {p: 1, n: 2, q: 2}? 1/30 Four letters picked without replacement from {g: 5, w: 3, x: 1}. Give prob of sequence gxww. 5/504 Three letters picked without replacement from {j: 3, i: 12, e: 2}. Give prob of sequence jji. 3/170 Three letters picked without replacement from brccccrrbcrrrcrbb. What is prob of sequence ccb? 1/34 Two letters picked without replacement from wwunutnnnwnnwnny. What is prob of sequence nt? 1/30 Calculate prob of sequence zzl when three letters picked without replacement from zdzzzdzlai. 1/36 Four letters picked without replacement from vyvvvvyvvvvyvy. What is prob of sequence vvyy? 45/1001 Calculate prob of sequence wpr when three letters picked without replacement from pwrbdpo. 1/105 Two letters picked without replacement from {g: 1, k: 2, h: 4, u: 1}. Give prob of sequence ug. 1/56 Two letters picked without replacement from vvooaaoaaoa. Give prob of sequence oa. 2/11 Two letters picked without replacement from ggwiiwwggiggiwigggig. Give prob of sequence wg. 2/19 Four letters picked without replacement from {g: 1, p: 1, r: 4, j: 3, m: 1, f: 2}. What is prob of sequence jgjp? 1/1980 Two letters picked without replacement from {k: 3, n: 1, z: 4, q: 2, x: 1, y: 1}. What is prob of sequence qx? 1/66 What is prob of sequence igpt when four letters picked without replacement from pippgitpnkpkkppp? 1/2730 Two letters picked without replacement from jqqlbj. Give prob of sequence qb. 1/15 What is prob of sequence xxss when four letters picked without replacement from {s: 2, x: 10}? 1/66 Calculate prob of sequence qj when two letters picked without replacement from {f: 5, j: 4, q: 10}. 20/171 Two letters picked without replacement from dmmgwg. Give prob of sequence gd. 1/15 Calculate prob of sequence ii when two letters picked without replacement from xdixhddimd. 1/45 Calculate prob of sequence cra when three letters picked without replacement from aaacararvrtaaaarrarr. 7/684 Two letters picked without replacement from tahik. What is prob of sequence at? 1/20 Calculate prob of sequence eppe when four letters picked without replacement from eeeppepe. 1/14 Four letters picked without replacement from {h: 8, w: 2, f: 4}. Give prob of sequence fhhf. 4/143 What is prob of sequence cvu when three letters picked without replacement from {u: 1, c: 1, n: 1, o: 2, v: 1, p: 1}? 1/210 Three letters picked without replacement from {k: 3, j: 1, e: 6, x: 3, l: 1, u: 1}. Give prob of sequence xju. 1/910 Calculate prob of sequence ad when two letters picked without replacement from {s: 1, d: 1, p: 1, q: 1, c: 2, a: 1}. 1/42 Two letters picked without replacement from {h: 3, d: 4, g: 9}. What is prob of sequence gg? 3/10 Two letters picked without replacement from {i: 5, m: 3, k: 5}. Give prob of sequence mi. 5/52 Two letters picked without replacement from {q: 3, m: 5, u: 8, j: 3, x: 1}. Give prob of sequence jx. 3/380 Calculate prob of sequence qq when two letters picked without replacement from iiiiiqiiq.
{ "pile_set_name": "DM Mathematics" }
what is -275 + b20? 867 In base 13, what is 1 + -a044a? -a0449 In base 15, what is -6095 + -52? -60e7 In base 5, what is -40110143 + -4? -40110202 In base 7, what is -1 + 51246? 51245 In base 7, what is 216341 - -12? 216353 In base 2, what is 11111101 - -111111010001? 1000011001110 In base 12, what is -7296 + 6? -7290 In base 15, what is 618b + -1? 618a In base 9, what is -3 + 24633? 24630 In base 6, what is 11200 - 400? 10400 In base 14, what is 6 - -d40ad? d40b5 In base 13, what is 0 - -37a9? 37a9 In base 3, what is 12202 - -102122? 122101 In base 8, what is 16522 + -6? 16514 In base 14, what is 2729 + 7? 2732 In base 6, what is -1341153 + 1? -1341152 In base 15, what is ab01 - 43? aaad In base 5, what is -20 - -121101? 121031 In base 3, what is -100222102 + -1001? -101000110 In base 4, what is 1111301 + 11021? 1122322 In base 8, what is 42 - -13605? 13647 In base 9, what is 17154 + 6? 17161 In base 8, what is -35 + -547? -604 In base 2, what is 110111000110000101 - 11? 110111000110000010 In base 6, what is -11305 - -24? -11241 In base 12, what is -4 - -3497? 3493 In base 15, what is -269c + 11? -268b In base 9, what is -105 + 133? 27 In base 9, what is -146368 + -6? -146375 In base 4, what is -13300022111 - -11? -13300022100 In base 2, what is 1001010 - 10010111011? -10001110001 In base 9, what is -485163 - -3? -485160 In base 16, what is 5 - -a19a? a19f In base 6, what is -132222403 - -2? -132222401 In base 11, what is -3 + 3929? 3926 In base 7, what is 612 + 24113? 25025 In base 7, what is -11 + -4556114? -4556125 In base 16, what is -173cb + -3? -173ce In base 3, what is 120101 - -10102211? 11000012 In base 8, what is 2105277 - -4? 2105303 In base 6, what is -3 - -2554543? 2554540 In base 9, what is -304771 + -11? -304782 In base 14, what is -48651 + -1? -48652 In base 9, what is -1 - 15565? -15566 In base 11, what is -95 + -5754? -5839 In base 6, what is -4413 - 5344? -14201 In base 3, what is -2210221121 - -11? -2210221110 In base 7, what is -3666011 + 3? -3666005 In base 3, what is -12 - -100202002? 100201220 In base 7, what is -30014 - -154? -26530 In base 11, what is 777 + 0? 777 In base 10, what is 591 - 41? 550 In base 3, what is 22011202 + -11111? 22000021 In base 8, what is 47655 + 3? 47660 In base 14, what is 167ca - -2? 167cc In base 11, what is -528a + -9? -5298 In base 3, what is 102 + 1200200221? 1200201100 In base 5, what is -1100001 - 34? -1100040 In base 12, what is b8671 - -4? b8675 In base 16, what is 1bf + -2c5? -106 In base 8, what is 0 + -261553? -261553 In base 10, what is -46 - -14714? 14668 In base 16, what is 1d - 4b0? -493 In base 9, what is 40 + -4082? -4042 In base 14, what is 3d + -122? -c3 In base 13, what is -1397 + -10? -13a7 In base 7, what is 3 + -300035? -300032 In base 12, what is 0 + -25220? -25220 In base 14, what is 32d - 29a? 73 In base 14, what is -a + b77? b6b In base 3, what is -20002 + 202010? 112001 In base 16, what is 30b + 2? 30d In base 11, what is 70 + 3006? 3076 In base 9, what is 88651 - 4? 88646 In base 13, what is b81a + 5? b822 In base 12, what is 4 + 9b524? 9b528 In base 10, what is -3 + 18304? 18301 In base 5, what is -32 + -2114? -2201 In base 8, what is 5 + -252712? -252705 In base 5, what is 1410 + 24003? 30413 In base 14, what is -5 - -69d13? 69d0c In base 10, what is -28797 + -2? -28799 In base 3, what is 211121211 + -12202? 211102002 In base 10, what is -18 + 7585? 7567 In base 16, what is -167 + -2d8? -43f In base 8, what is 2 + 15410? 15412 In base 6, what is -5 - -132435? 132430 In base 16, what is 156 - -105? 25b In base 2, what is 110000000000 - 111? 101111111001 In base 14, what is 0 - -1301d? 1301d In base 3, what is 21201 + 12210? 111111 In base 8, what is 134 + -55770? -55634 In base 4, what is 10212 + 231? 11103 In base 4, what is -23202 - 33122? -122330 In base 4, what is -210030033 + 1? -210030032 In base 14, what is -c - -7174? 7166 In base 5, what is 11 + 140244? 140310 In base 7, what is 16315 + -520? 15465 In base 6, what is 221 - -10105? 10330 In base 5, what is 1 - 101143? -101142 In base 15, what is c + -e49? -e3c In base 11, what is -1 + -55aa44? -55aa45 In base 13, what is -288c693 - -5? -288c68b In base 11, what is 1065 - -152? 1207 In base 16, what is 4 - -9b? 9f In base 14, what is -2d1b3 + 3? -2d1b0 In base 3, what is 220001100101 + -11? 220001100020 In base 2, what is 10001001110011100 + 1? 10001001110011101 In base 4, what is -102200332 + 3? -102200323 In base 13, what is 3c - -349? 388 In base 6, what is 12153335 + 4? 12153343 In base 12, what is 228 + 2a9? 515 In base 4, what is 2311 - -112233? 121210 In base 9, what is -75 - -142? 56 In base 9, what is -124463 + -7? -124471 In base 11, what is -5a790 + -5? -5a795 In base 9, what is -6508555 + 4? -6508551 In base 2, what is -111100110111100000100 + -1? -111100110111100000101 In base 10, what is -211 - -112? -99 In base 10, what is -6022 + 7? -6015 In base 15, what is -82b + -a? -836 In base 8, what is -13234 - 2? -13236 In base 11, what is 89 + 12079? 12157 In base 14, what is 235 + -1a55? -1820 In base 5, what is 112431414 - -12? 112431431 In base 8, what is 21 - 50? -27 In base 4, what is 123130203 - -212? 123131021 In base 6, what is 215 - 105420? -105201 In base 9, what is 3 - -407647? 407651 In base 4, what is -1130010131 + -2? -1130010133 In base 11, what is 11a - 2203? -2094 In base 15, what is 2d3 - -157? 43a In base 10, what is 4 - 70021? -70017 In base 15, what is db4 - -19d? 1062 In base 5, what is -220 - -13143? 12423 In base 3, what is -1 + 110211? 110210 In base 2, what is 11100110 + 11100101100? 100000010010 In base 13, what is -8c6 + -39? -932 In base 6, what is -100 - -22252? 22152 In base 10, what is 409 + -290? 119 In base 8, what is 1 + 143125? 143126 In base 7, what is 11 + 101343? 101354 In base 13, what is -10c841 + -6? -10c847 In base 11, what is -409859 - -3? -409856 In base 13, what is -8 + 10226? 1021b In base 6, what is 13 + -15000540? -15000523 In base 15, what is 24 + -1b246? -1b222 In base 8, what is 10521 - -3? 10524 In base 15, what is -49 + -1a68? -1ab2 In base 8, what is 5762 + -27? 5733 In base 14, what is -b56 - 4? -b5a In base 7, what is -1 + -4443613? -4443614 In base 6, what is 12010 + -2023? 5543 In base 9, what is 1384074 - -4? 1384078 In base 4, what is -122312232 - 0? -122312232 In base 14, what is 1 - -6d80? 6d81 In base 7, what is -10025 + -263? -10321 In base 10, what is 33616 + 32? 33648 In base 14, what is -3dd9 + c? -3dcb In base 9, what is 10076 + 302? 10378 In base 7, what is -4 - -5050341? 5050334 In base 2, what is 100000110 - 111000111? -11000001 In base 5, what is -44 + -20330210? -20330304 In base 4, what is 21000302 - 3? 21000233 In base 9, what is 21 - 8838? -8817 In base 6, what is 0 - 5132504? -5132504 In base 5, what is 20033333 + -10? 20033323 In base 9, what is 26 + -41? -14 In base 16, what is -19f - -30? -16f In base 10, what is -30029 - 2? -30031 In base 9, what is 58 + 52247? 52316 In base 6, what is 3003133 - 0? 3003133 In base 12, what is 59 - 2672? -2615 In base 16, what is -44 - -2d7e? 2d3a In base 2, what is -110100000100 - -1010? -110011111010 In base 5, what is -3440 + 11? -3424 In base 13, what is 48 + 10? 58 In base 12, what is 344 + 445? 789 In base 9, what is 3 + -11072? -11068 In base 14, what is -2d6c8 + 3? -2d6c5 In base 13, what is 28177 - -8? 28182 In base 2, what is -1110000 + 100110101? 11000101 In base 8, what is -2 - 3447674? -3447676 In base 9, what is -54754 + -172? -55036 In base 14, what is cc - 72? 5a In base 2, what is 101111111010 - 111000010? 101000111000 In base 14, what is 227 + b5? 2dc In base 12, what is 126b2a - 5? 126b25 In base 13, what is -249265 - 5? -24926a In base 11, what is 52 - 761a? -7578 In base 5, what is -111 - 11232? -11343 In base 12, what is -1 - 7310? -7311 In base 9, what is 5440 - 4? 5435 In base 9, what is -3 + -480050? -480053 In base 11, what is -66 + 3747? 3691 In base 16, what is 499 - -64a? ae3 In base 11, what is -5402 - -4? -53a9 In base 16, what is -1a - -221? 207 In base 6, what is 511 - 45103? -44152 In base 2, what is 101 - -10001101001000011? 10001101001001000 In base 11, what is 2 + 1874? 1876 In base 9, what is 0 - -1171634? 1171634 In base 8, what is 236 - -
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
-2, 0 Factor 3 - 25*k + 5*k**3 - 13 + 10*k. 5*(k - 2)*(k + 1)**2 Factor -1/6*c**2 - 8/3 - 4/3*c. -(c + 4)**2/6 Let u be 0 + 0 + 0/(-4). Let -2*x**3 - x + 9/2*x**2 + u = 0. Calculate x. 0, 1/4, 2 Suppose -5*u + 24 + 46 = 0. Let o = u + -12. Find s such that 1/2 - 1/2*s**o + 1/2*s - 1/2*s**3 = 0. -1, 1 Let x(u) be the second derivative of u**4/9 + 2*u**3/9 - 10*u. Factor x(k). 4*k*(k + 1)/3 Let c(o) be the third derivative of -1/180*o**6 + 1/630*o**7 + 1/180*o**5 + 0*o**4 + 0*o**3 + 0*o - 6*o**2 + 0. Factor c(f). f**2*(f - 1)**2/3 Let q(u) be the second derivative of -2*u**7/315 + 2*u**5/45 - 2*u**3/9 - 5*u**2 - 6*u. Let f(p) be the first derivative of q(p). Factor f(m). -4*(m - 1)**2*(m + 1)**2/3 Let z(c) be the second derivative of -c**7/2520 + c**6/360 - c**4/18 - c**3/6 - 5*c. Let f(l) be the second derivative of z(l). Factor f(y). -(y - 2)**2*(y + 1)/3 Determine y so that -21/4*y**4 - 12 - 72*y**2 + 60*y + 33*y**3 = 0. 2/7, 2 Suppose 6 + 6 = 4*v. Let a(w) be the third derivative of 1/12*w**v + 0*w**4 - 1/120*w**5 + 0*w - 2*w**2 + 0. Determine u so that a(u) = 0. -1, 1 Let z be (2 - (-44)/(-25))/(10/50). Determine r so that 2/5*r**5 + 2/5 - 6/5*r**4 + 4/5*r**3 + 4/5*r**2 - z*r = 0. -1, 1 Suppose 4024 = 6*n + 4024. Factor -9/5*v + n + 3/5*v**2. 3*v*(v - 3)/5 Let j(u) be the first derivative of u**4/16 - u**3/3 + u**2/2 - 9. Factor j(s). s*(s - 2)**2/4 Find o such that 1/5*o - 1/5*o**2 + 2/5 = 0. -1, 2 Let a(v) be the first derivative of -4/33*v**6 + 1/11*v**2 - 6 + 3/22*v**4 + 0*v + 8/55*v**5 - 8/33*v**3. Determine o, given that a(o) = 0. -1, 0, 1/2, 1 Let y(s) = 2*s**3 - 5*s**2 - s - 3. Let n = 1 - 7. Let o(v) = -7*v**3 + 19*v**2 + 4*v + 11. Let r(f) = n*o(f) - 22*y(f). Factor r(p). -2*p*(p + 1)**2 Suppose -4*b + 66 = 7*b. Let c(r) be the third derivative of 0 + 0*r**4 - 1/270*r**5 - 1/270*r**b + 3*r**2 + 0*r + 1/315*r**7 + 0*r**3. Factor c(p). 2*p**2*(p - 1)*(3*p + 1)/9 Find u, given that -100*u**3 - u**4 - 5*u**2 + 49*u**3 + 55*u**3 + 2*u = 0. 0, 1, 2 Let v be (-468)/(-108) + (-1)/3. Determine t, given that 0 + 0*t + 2/3*t**3 + 0*t**2 + 2/3*t**v = 0. -1, 0 Let j = -1 + -9. Let b(r) = -r**3 - r**2 - 3*r. Let k(n) = -n + 1. Let y be k(3). Let d(o) = o. Let w(t) = j*d(t) + y*b(t). Factor w(c). 2*c*(c - 1)*(c + 2) Suppose 3*b + 42 = 2*r + 2*r, 4*r - 52 = -2*b. Suppose -7 = -4*h + 5. Solve -h - 3*i**2 + r*i + 14 + 1 + 6*i**2 = 0. -2 Let n(u) = -3*u - 1. Let m be n(1). Let l be (2 + m)*(-1 - 0). Factor 6/5*x - 3/5 - 3/5*x**l. -3*(x - 1)**2/5 Factor 30*c - 3*c**3 + 17*c - 14*c - 26 - 12*c**2 + 8. -3*(c - 1)**2*(c + 6) Let j = 277/3 - 92. What is g in -1/3 + 0*g + j*g**2 = 0? -1, 1 Let z(i) be the second derivative of 2*i**6/15 - i**5/5 - i**4/3 + 2*i**3/3 - 8*i. Solve z(q) = 0 for q. -1, 0, 1 Factor 4*q**2 + 0*q**2 - 4*q**2 + 8 - 8*q + 2*q**2. 2*(q - 2)**2 Let c(b) be the third derivative of -1/8*b**4 + 0 + 3*b**2 + 0*b + 0*b**3 + 1/20*b**5. Factor c(o). 3*o*(o - 1) Let z(a) be the second derivative of -a**4/12 - a**3/3 - a**2/2 - 6*a. What is s in z(s) = 0? -1 Let b = -107/12 - -41/4. Factor 10/3*f - 8/3*f**2 + 2/3*f**3 - b. 2*(f - 2)*(f - 1)**2/3 Suppose -4*u + 0 = -8. Let m be 20/(-15)*(-3)/u. Factor 1/2*k + k**m + 0*k**3 - 1/2*k**5 - k**4 + 0. -k*(k - 1)*(k + 1)**3/2 Let n(y) = -12*y**4 - 36*y**3 - 24*y**2 - 4*y. Let v(s) = s**4. Let o(c) = -n(c) + 4*v(c). Find x, given that o(x) = 0. -1, -1/4, 0 Suppose 61 - 124 = -21*d. Factor 0 + 0*m**2 - 1/5*m**d + 1/5*m. -m*(m - 1)*(m + 1)/5 Let o(x) be the third derivative of x**5/12 - 5*x**4/6 - 20*x**2. Let o(k) = 0. What is k? 0, 4 Let l(b) = b**3 - b**2 - 2*b + 2. Let n be l(2). Find k such that 4/7 + n*k - 2*k**3 - 4/7*k**2 = 0. -1, -2/7, 1 Let k(f) be the second derivative of f**4/24 + f**3/4 + f**2/2 + 8*f. What is s in k(s) = 0? -2, -1 Let c = -876149/270 + 3245. Let i(r) be the third derivative of c*r**5 + 3*r**2 + 1/27*r**3 + 1/54*r**4 + 0 + 0*r. Suppose i(o) = 0. What is o? -1 Let z(y) be the first derivative of -7*y**6/30 - 26*y**5/15 - 13*y**4/6 + 4*y**3 - 9*y**2/2 - 10. Let k(i) be the second derivative of z(i). Factor k(l). -4*(l + 1)*(l + 3)*(7*l - 2) Let j(s) be the second derivative of s**5/40 - 5*s**4/24 + 2*s**3/3 - s**2 - 29*s. Solve j(f) = 0. 1, 2 Let j(a) be the first derivative of a**6/15 - 2*a**4/5 - 4*a**3/15 + 3*a**2/5 + 4*a/5 + 5. Determine i so that j(i) = 0. -1, 1, 2 Let r = 248/375 + 2/375. Find p such that 0 - 2/3*p**5 - r*p**2 + 2/3*p**3 + 2/3*p**4 + 0*p = 0. -1, 0, 1 Let w(u) be the first derivative of 2*u**5/5 + u**4 + 2*u**3/3 - 7. Factor w(s). 2*s**2*(s + 1)**2 Let z(n) = -n**3 + 8*n**2 - n. Let v be z(8). Let d = v + 12. Find f, given that -2*f**5 + d*f**3 - f**3 - f**3 = 0. -1, 0, 1 Let a(c) be the first derivative of -3*c**7/140 - c**6/21 - 19*c**5/420 - c**4/42 + 2*c**3/3 + 2. Let b(h) be the third derivative of a(h). Factor b(m). -2*(3*m + 1)**2*(7*m + 2)/7 Let h(b) be the first derivative of b**3/9 + 4*b**2 + 48*b - 2. Factor h(x). (x + 12)**2/3 Suppose -3*w + 6 = v, 0 = v + 4*w - 6 - 1. Let x = v - 1. Determine c, given that 0 + c - 1/2*c**x = 0. 0, 2 Let j be (-2 + 3)*(-1 + 4). Factor -3*b - j*b**2 + 7*b - b + 0*b. -3*b*(b - 1) Let k be (-1)/(-4) + (-11)/(-4). Let c = 17/52 - 1/13. Determine i, given that -1/2*i**2 + 0 + c*i + 1/4*i**k = 0. 0, 1 Let v(g) be the third derivative of 0 + 1/120*g**6 + 0*g + 0*g**4 + 1/120*g**5 + g**2 + 0*g**3 + 1/420*g**7. Suppose v(o) = 0. What is o? -1, 0 Let b(y) be the third derivative of 0 + 3*y**2 + 1/300*y**6 + 0*y - 1/75*y**5 + 0*y**3 + 0*y**4. Solve b(x) = 0. 0, 2 Let f(j) be the first derivative of j**4/14 - j**2/7 + 4. Determine o so that f(o) = 0. -1, 0, 1 Let f(q) be the first derivative of -1/180*q**5 - 1/1080*q**6 - 1/72*q**4 + 0*q**2 + 0*q - 1/3*q**3 - 2. Let v(j) be the third derivative of f(j). Factor v(g). -(g + 1)**2/3 Let k(i) be the third derivative of -i**5/220 - i**4/264 + 13*i**2. Suppose k(o) = 0. What is o? -1/3, 0 Let f(b) = -4*b**3 + 6*b**2 - 2. Let u(c) = 13*c**3 - 18*c**2 + 7. Let j(a) = 7*f(a) + 2*u(a). Solve j(x) = 0 for x. 0, 3 Let r be (-4*2)/(-2)*10/20. Factor 2*i + 2/3*i**3 + r*i**2 + 2/3. 2*(i + 1)**3/3 Let b be (-6*4/(64/2))/(-1). Solve 0 + p**2 - 1/4*p**3 - b*p = 0 for p. 0, 1, 3 Let n be (-390)/(-75) + (4/10)/(-2). Suppose 14/3*v**n + 4/3 + 28/3*v**2 + 8/3*v**3 - 32/3*v**4 - 22/3*v = 0. What is v? -1, 2/7, 1 Let z be 0/(8 + (-10 - -7)). Solve 3/2*k**2 - 1/2*k - 3/2*k**3 + z + 1/2*k**4 = 0. 0, 1 Let k(l) be the third derivative of -3*l**6/10 + 2*l**5/15 + 3*l**4/2 - 4*l**3/3 + 9*l**2. Suppose k(o) = 0. Calculate o. -1, 2/9, 1 Let i(c) be the third derivative of c**8/20160 - 7*c**5/60 - 5*c**2. Let q(j) be the third derivative of i(j). Factor q(z). z**2 Let h = 15 - 11. Let g = h - 2. Factor 0*i**2 + 0*i**3 - 2*i**g + i**3. i**2*(i - 2) Let f = -107 + 757/7. Factor -6/7*o**2 + 2/7*o**3 + 0*o + f. 2*(o - 2)**2*(o + 1)/7 Let s(w) = -4*w**2 + 8*w - 7. Let a(o) = -o**2 - o - 1. Let x(g) = -a(g) + s(g). Determine v so that x(v) = 0. 1, 2 Suppose 414*g**2 + 2*g**4 - 100*g**2 + 4*g**4 - 61*g - 80*g**3 - 251*g + 72 = 0. Calculate g. 1/3, 1, 6 Let k(h) be the third derivative of h**7/2520 + h**6/720 - h**5/60 + h**4/6 - h**2. Let f(b) be the second derivative of k(b). Factor f(l). (l - 1)*(l + 2) Let g be (-2 - 1)/(-3) + 2. Let n = -2 + 6. Suppose -4*x**3 + 0*x**3 + 2*x**2 + g*x**n - x**3 = 0. What is x? 0, 2/3, 1 Let z(q) = 4*q - 1. Let m be z(2). Let b be (-31)/(-6) - m/42. Factor 7*v**5 - 9*v**3 - 5*v**2 + 10*v**4 + 3*v - b*v**4 - v. v*(v - 1)*(v + 1)**2*(7*v - 2) Let p(j) = j**4 + j**3 + j**2 - j - 1. Let d(v) = 4*v**4 + 2*v**3 + 2*v**2 - 2*v - 2. Let f(o) = d(o) - 2*p(o). Find x such that f(x) = 0. 0 Let s be (-3)/2 - 111/(-12). Let z = -7 + s. Factor 3/4*c**2 + z*c + 1/4 + 1/4*c**3. (c + 1)**3/4 Let t = -10 + 14. Factor -t*d + 4*d**5 + 8*d**2 + 5*d**4 - 27*d**4 + 7*d**4 + 7*d**4. 4*d*(d - 1)**3*(d + 1) Let l(p) be the third derivative of 1/6*p**4 + 1/24*p**8 - 3*p**2 - 23/105*p**7 + 0*p**3 - 13/30*p**5 + 0 + 9/20*p**6 + 0*p. Find h, given that l(h) = 0. 0, 2/7, 1 Suppose -4*o = -3*c + 137, 17 = 3*c + 3*o - 127. Let w = -140/3 + c. Factor -2/3*f**2 + 0 - w*f**3 - 1/3*f. -f*(f + 1)**2/3 Let d(m) = 3*m**3 + 3*m**2 + 3*m - 3. Let z be -1 - ((-2)/2 + -3). Let b(f) = -3*f**3 - 4*f**2 - 4*f + 4.
{ "pile_set_name": "DM Mathematics" }
1327*o + 81 = 0 for o. 9 Solve -15*j + 10 = 10 for j. 0 Solve 9*o - 162 + 162 = 0 for o. 0 Solve -17 = -31*w - 79 for w. -2 Solve 4*h - 77 = -65 for h. 3 Solve 0 = -2*q - 1 - 5 for q. -3 Solve 6*q - 3 = 9 for q. 2 Solve -q - 9 = -2*q for q. 9 Solve 0 = 29*u - 27*u - 4 for u. 2 Solve -q + 29 = 27 for q. 2 Solve 14*s - 5 - 107 = 0 for s. 8 Solve -3*s - 8 + 2 = 0 for s. -2 Solve -4*z + 7284 - 7268 = 0 for z. 4 Solve 0 = -i + 224 - 230 for i. -6 Solve -31*y - 62 - 62 = 0 for y. -4 Solve 777 = m + 782 for m. -5 Solve 3*f = -38*f - 205 for f. -5 Solve -119*d = -106*d - 78 for d. 6 Solve 11*a = -25*a - 216 for a. -6 Solve 254 = 7*k + 212 for k. 6 Solve -4 + 0 = -4*a for a. 1 Solve -56*l + 42*l + 84 = 0 for l. 6 Solve 0*l = -65*l + 130 for l. 2 Solve -16*y + 70 = -30*y for y. -5 Solve 0 = -579*v + 575*v for v. 0 Solve 5*x - 8 = -23 for x. -3 Solve 122*a + 54 = 113*a for a. -6 Solve -212*k = -233*k - 147 for k. -7 Solve 111 = -53*a - 58*a for a. -1 Solve -17*z + 22 - 5 = 0 for z. 1 Solve 42*d = 38*d + 8 for d. 2 Solve 15 = -62*c + 59*c for c. -5 Solve 500 + 259 = -69*u for u. -11 Solve 22*m + 14 = 58 for m. 2 Solve 40*n - 37*n = 9 for n. 3 Solve 6*c - 110 = -92 for c. 3 Solve 335 = -67*f - 134 for f. -7 Solve -30 = 3*b + 3*b for b. -5 Solve 4*h + 38 = 10 for h. -7 Solve 25 = -18*n - 47 for n. -4 Solve 8*m = 72*m - 448 for m. 7 Solve 8*y = 9*y for y. 0 Solve 0*k + 12 = 3*k for k. 4 Solve 127 - 127 = 6*u for u. 0 Solve -270*f + 22 = -259*f for f. 2 Solve -2763*x = -2749*x - 56 for x. 4 Solve 10 = 2*w + 8 for w. 1 Solve -642*j - 18 = -645*j for j. 6 Solve 9*l = -30 - 15 for l. -5 Solve 14*j = -5*j for j. 0 Solve 4*f - 10 = 14 for f. 6 Solve 35 - 20 = -5*u for u. -3 Solve 25*r - 8*r = 85 for r. 5 Solve 4*x = -31 + 27 for x. -1 Solve 0 = 10*s - 48 - 2 for s. 5 Solve -6*u + 28*u + 154 = 0 for u. -7 Solve -8*q - 582 = -614 for q. 4 Solve -8 = -1656*f + 1652*f for f. 2 Solve -5 = 30*j + 25 for j. -1 Solve -274*o - 985 = -77*o for o. -5 Solve 20*u = 52*u + 64 for u. -2 Solve 4*b + 4 = -8 for b. -3 Solve -34*l = 113 - 11 for l. -3 Solve -7*a + 3 = -18 for a. 3 Solve 103*y + 1528 = 601 for y. -9 Solve 0 = -7*j + 191 - 198 for j. -1 Solve 5*k - 14*k + 45 = 0 for k. 5 Solve 0 = -15*f + 42*f + 81 for f. -3 Solve 22 = 5*l - 8 for l. 6 Solve -56 = 4*z - 60 for z. 1 Solve 480*v - 500*v - 20 = 0 for v. -1 Solve -23*m = -16*m + 14 for m. -2 Solve 31*h = 27*h + 24 for h. 6 Solve 6202*k = 6193*k - 81 for k. -9 Solve 16 = -32*y + 112 for y. 3 Solve -12 = -2*x - 8 for x. 2 Solve -55*p = -48*p - 35 for p. 5 Solve -11 + 81 = 14*z for z. 5 Solve 12*j = -15 - 45 for j. -5 Solve 11*i + 7 = -37 for i. -4 Solve -20*g + 9*g = 28*g for g. 0 Solve 5 - 1 = b for b. 4 Solve -34 = 12*v + 14 for v. -4 Solve 179 + 1 = -18*x for x. -10 Solve -100*h = -103*h for h. 0 Solve 646*o = 605*o + 246 for o. 6 Solve 1 = -m + 4 for m. 3 Solve 4*o - 13 = -49 for o. -9 Solve -9*m = -18*m - 18 for m. -2 Solve -62*i + 589 = 155 for i. 7 Solve 85*x = 102*x for x. 0 Solve 44 = 3*o + 29 for o. 5 Solve -10*l + 948 - 938 = 0 for l. 1 Solve 0 = 3*i + 4*i + 14 for i. -2 Solve 8*l - 8 = 10*l for l. -4 Solve 5*c = -3*c + 16 for c. 2 Solve -18*l - 12 + 66 = 0 for l. 3 Solve 117 = -17*r + 253 for r. 8 Solve 7 = 41*q - 48*q for q. -1 Solve -18*v + 138 = 5*v for v. 6 Solve -8*d = -25*d - 68 for d. -4 Solve -69*b + 86 = 293 for b. -3 Solve -6 = -8*j + 2 for j. 1 Solve -63 - 15 = 26*p for p. -3 Solve -6*s + 11 + 31 = 0 for s. 7 Solve 0 = 2*g + 138 - 136 for g. -1 Solve -96 + 95 = -q for q. 1 Solve 14*o + 121 - 65 = 0 for o. -4 Solve -2 = -21*f + 19*f for f. 1 Solve 0 = 8*u - 1 - 47 for u. 6 Solve -219 + 201 = 3*b for b. -6 Solve -4*z = -13*z - 45 for z. -5 Solve -7*s + 4*s - 6 = 0 for s. -2 Solve 0 = 29*w + 130 + 131 for w. -9 Solve -1771*n - 6 = -1770*n for n. -6 Solve -10*n - 11 = -31 for n. 2 Solve -8 = 10*i + 2 for i. -1 Solve 0 = 8*p + 152 - 80 for p. -9 Solve -24 = 41*z - 53*z for z. 2 Solve 0 = -4*t - 247 + 235 for t. -3 Solve -l + 2 = 3 for l. -1 Solve -35*l - 308 = 9*l for l. -7 Solve -3184*v = -3168*v - 96 for v. 6 Solve 7*z = -84 + 77 for z. -1 Solve -6*d - 36 = -15*d for d. 4 Solve -57 = 13*f - 135 for f. 6 Solve -p = 2*p for p. 0 Solve 2 = 122*k - 123*k for k. -2 Solve 0 = -11*x + 2 + 9 for x. 1 Solve 8*g - 51 = -11 for g. 5 Solve 4*s - 5 = 11 for s. 4 Solve -8*f = -8*f - 3*f for f. 0 Solve -336*g + 325*g = -110 for g. 10 Solve -f - 73 + 68 = 0 for f. -5 Solve 2*r + r + 6 = 0 for r. -2 Solve -30*d = 23 - 143 for d. 4 Solve 4*d + 149 = 137 for d. -3 Solve -4*p - 38*p + 84 = 0 for p. 2 Solve 48*v = 3*v + 8*v for v. 0 Solve -40*j - 188 = 7*j for j. -4 Solve -58*g + 6 = -52*g for g. 1 Solve -3*d + 12 + 6 = 0 for d. 6 Solve -18 = 62*y - 53*y for y. -2 Solve -56 + 149 = -31*p for p. -3 Solve 17*p - 15 = 20*p for p. -5 Solve 10*h - 24 = 14*h for h. -6 Solve 21*h = 22*h - 5 for h. 5 Solve 0 = 12*a - 25*a + 78 for a. 6 Solve -4*k - 16 = -12*k for k. 2 Solve y + 4 = -y for y. -2 Solve -4*y + 17 = -3 for y. 5 Solve -46 = -122*r - 290 for r. -2 Solve -2*c = -122 + 112 for c. 5 Solve -85*v + 84*v - 3 = 0 for v. -3 Solve 3*w - 43 + 40 = 0 for w. 1 Solve 32*r = 30*r for r. 0 Solve 368 = -143*z - 347 for z. -5 Solve 89*m + 20 = 94*m for m. 4 Solve -10 = -3*z - 7 for z. 1 Solve 5*f = 40*f - 210 for f. 6 Solve 17 + 10 = 9*f for f. 3 Solve k + 84 - 82 = 0 for k. -2 Solve 17*v + 9 = -25 for v. -2 Solve 0 = 6*v + 4*v - 40 for v. 4 Solve 0 = -11*c - 0*c - 22 for c. -2 Solve 6*v - 483 = -471 for v. 2 Solve 0 = -51*n - 7*n - 406 for n. -7 Solve 7*k - 14579 + 14656 = 0 for k. -11 Solve -15*u - 36 = -3*u for u. -3 Solve -14*w - 29*w + 215 = 0 for w. 5 Solve -15*y = -26*y + 44 for y. 4 Solve 13 = -2*t + 15 for t. 1 Solve 4266*n = 4264*n - 14 for n. -7 Solve 0 = -6*o + 249 - 231 for o. 3 Solve -8*o - 9 = -49 for o. 5 Solve 79*v = 53*v + 52 for v. 2 Solve 0 = -32*r + 40*r - 24 for r. 3 Solve -18*m - 4 - 32 = 0 for m. -2 Solve -29*b + 26*b = 12 for b. -4 Solve 0*f - 38*f = -38 for f. 1 Solve 0 = -9*y + 36*y + 81 for y. -3 Solve -5*z = -3*z - 2 for z. 1 Solve 3*n = 51 - 33 for n. 6 Solve 10*o - 1 = 39 for o. 4 Solve -102 + 106 = 4*h for h. 1 Solve 34 = 18*z - 38 for z. 4 Solve 22*r = 29*r + 35 for r. -5 Solve -15*p = -5*p + 20 for p. -2 Solve 15610*f = 15618*f + 16 for f. -2 Solve 969*k = 972*k - 12 for k. 4 Solve 3*d - 1 = -4 for d. -1 Solve u - 213 + 206 = 0 for u. 7 Solve 3*t - 40 + 55 = 0 for t. -5 Solve -3*t + 33 = 21 for t. 4 Solve 9*p - 169 = -187 for p. -2 Solve 5*m + 47 - 47 = 0 for m. 0 Solve 2*o + 391 = 403 for o. 6 Solve -6*l = 56 - 26 for l. -5 Solve -28 + 48 = -10*h for h. -2 Solve -8*m - 476 + 412 = 0 for m. -8 Solve 9 = 5*s + 29 for s. -4 Solve 0 = -21*d + 16 + 47 for d. 3 Solve -260*f + 259*f - 6 = 0 for f. -6 Solve -3*d = 7 + 5 for d. -4 Solve 10*j = 15*j for j. 0 Solve -4*v + 1537 = 1517 for v. 5 Solve 0 = 161*m - 170*m - 63 for m. -7 Solve -56*m + 75*m + 95 = 0 for m. -5 Solve 13*o + 292 - 357 = 0 for o. 5 Solve 380*a - 72 = 356*a for a. 3 Solve 7*f - 36 = -5*f for f. 3 Solve 13*h + 16 = 17*h for h. 4 Solve 51 = 7*f - 5 for f. 8 Solve -13*i + 31*i = -54 for i. -3 Solve 4*j - 12*j = 32 for j. -4 Solve -281 = -32*u + 7 for u. 9 Solve -166 = -s - 163 for s. 3 Solve -6*q = -3*q + q for q. 0 Solve -2*c - 45 = -17*c for c. 3 Solve 10*n - 35 = 3*n for n. 5 Solve 0 = -14*b + 9*b + 10 for b. 2 Solve 937*v - 952*v - 120 = 0 for v. -8 Solve 351*q + 42 = 344*q for q. -6 Solve -37*j - 5 = -36*j for j. -5 Solve -10*w + w = -7*w for w. 0 Solve -39*g - 23 - 55 = 0 for g. -2 Solve 24 = -22*d + 2 for d. -1 Solve 965*s - 72 = 983*s for s. -4 Solve -90 = 44*l + l for l. -2 Solve 17*f - 8*f = -36 for f. -4 Solve 4882 - 4888 = -2*n for n. 3 Solve -3*x - 16 = -4 for x. -4 Solve -11*z + 167 = 101 for z. 6 Solve 2*u + 0*u = 5*u for u. 0 Solve 0 = -88*m + 82*m - 30 for m. -5 Solve -2*c = -8*c + c for c. 0 Solve 39*j = -90 + 246 for j. 4 Solve -27 = -7*o + 4*o for o. 9 Solve -1559*c = -1558*c + 6 for c. -6 Solve 2*i + 4 = 10 for i. 3 Solve 3*v = v - 9*v for v. 0 Solve 223 = 58*u + 49 for u. 3 Solve 40 = 2833*j - 2828*j for j. 8 Solve -27*q + 8 = -73 for q. 3 Solve -69*l - 140 = 67 for l. -3 Solve 0 = -5*b - 5 for b. -1 Solve -364*v + 10 = -366*v for v. -5 Solve 0 = 49*h - 54*h - 20 for h. -4 Solve 25 = 40*c - 45*c for c. -5 Solve 8*c = 8
{ "pile_set_name": "DM Mathematics" }
rt(9))*6). sqrt(3) Simplify 2*sqrt(17) + -4 - (0 + sqrt(2448)) - (3 + 0 + sqrt(17) + sqrt(68)*1). -13*sqrt(17) - 7 Simplify sqrt(21)/(sqrt(12)/sqrt(4)) + 0. sqrt(7) Simplify (sqrt(209)/(sqrt(55)/sqrt(5)))**2 + -3. 16 Simplify (4 + (sqrt(1331) - (-1 + sqrt(1331))))**2. 25 Simplify (3 + 1*sqrt(931))**2. 42*sqrt(19) + 940 Simplify 1 + 2*sqrt(7) - (sqrt(7) + (2*sqrt(70))/sqrt(10) + sqrt(7)). -2*sqrt(7) + 1 Simplify sqrt(2057) + -2*sqrt(2057) + -2. -11*sqrt(17) - 2 Simplify 2*((sqrt(180) + 2)**2 + (sqrt(5) - (sqrt(5) - sqrt(55)/(-3*sqrt(11))))**2). 48*sqrt(5) + 3322/9 Simplify (sqrt(1377)*-1 + -2)**2*2. 72*sqrt(17) + 2762 Simplify (sqrt(9)/((sqrt(3)*3 + sqrt(3))*2) + 1)**2. sqrt(3)/4 + 67/64 Simplify sqrt(143)/(sqrt(11)*2)*-1. -sqrt(13)/2 Simplify 4 + (sqrt(102) + sqrt(102) + -2*sqrt(102))/sqrt(6) + sqrt(85)/sqrt(5)*2. 4 + 2*sqrt(17) Simplify (6*(-1 + sqrt(11)) + -2)**2. -96*sqrt(11) + 460 Simplify (sqrt(1573) + 0 + sqrt(1573) - sqrt(1573)) + -5 - ((sqrt(1573) + 1 - sqrt(1573)) + 5). -11 + 11*sqrt(13) Simplify ((sqrt(104) - ((sqrt(104) - -2*sqrt(104)) + sqrt(104)))*3)/(sqrt(32)/sqrt(4)*3). -3*sqrt(13) Simplify (sqrt(684) + 1)**2 + (sqrt(133)/sqrt(112) - sqrt(19)) + (sqrt(152)*-2)/sqrt(8) + 5*sqrt(171). 97*sqrt(19)/4 + 685 Simplify -2*(5 + sqrt(68))*1. -4*sqrt(17) - 10 Simplify sqrt(50)/(sqrt(10)*2) - (sqrt(80) + 2 + sqrt(80)). -15*sqrt(5)/2 - 2 Simplify (sqrt(13) + -6*(sqrt(13) + sqrt(26)/sqrt(2)) + (sqrt(13)*2)**2*2)*3. -33*sqrt(13) + 312 Simplify -1 + 6*(5 + sqrt(2)). 6*sqrt(2) + 29 Simplify sqrt(833)*1*5. 35*sqrt(17) Simplify (sqrt(27) + -3)**2 - 1*(sqrt(3) + 0). -19*sqrt(3) + 36 Simplify ((sqrt(432) - (-1 + -2 + sqrt(432))) + sqrt(432) + (sqrt(432) - 5*2*sqrt(432) - sqrt(432)) + sqrt(432))**2. -576*sqrt(3) + 27657 Simplify ((sqrt(847)*2 + -5)*3)**2 + 2. -1980*sqrt(7) + 30719 Simplify 5*(-1 + -1*sqrt(5))**2. 10*sqrt(5) + 30 Simplify -5*(sqrt(66)/(sqrt(24)/sqrt(4)) + sqrt(11) + -3). -10*sqrt(11) + 15 Simplify (0 + (sqrt(425) - (-3 + (sqrt(425) - (1 + sqrt(425))))))**2 + -3. 40*sqrt(17) + 438 Simplify sqrt(308)/sqrt(275) + -1. -1 + 2*sqrt(7)/5 Simplify -3 + ((2*sqrt(231))/sqrt(11))/sqrt(3). -3 + 2*sqrt(7) Simplify (sqrt(24)/(2*sqrt(8)) - sqrt(18)/sqrt(24))*-2. 0 Simplify 1*(1*sqrt(51)*2)/(-2*sqrt(432)). -sqrt(17)/12 Simplify ((sqrt(117) + (sqrt(117)*2 - sqrt(117) - sqrt(117))*4)*3)**2. 1053 Simplify 3*(5 + sqrt(637) + 0 - sqrt(637)). 15 Simplify (sqrt(432) + (-1*sqrt(432) - sqrt(432)) - sqrt(12))/(2*sqrt(24)). -7*sqrt(2)/4 Simplify ((-1*sqrt(136))/sqrt(4))/(1*sqrt(2)*-6 + sqrt(2)). sqrt(17)/5 Simplify (sqrt(144)*-2)/sqrt(3) + ((1 + 2*sqrt(3))*3)**2. 28*sqrt(3) + 117 Simplify (sqrt(77)/(sqrt(11) + sqrt(1331)))**2 + (sqrt(5103) - sqrt(63))**2. 580615/144 Simplify (-2*sqrt(99)*2)/(sqrt(9) - (sqrt(9) - ((sqrt(1089) - sqrt(1089)*-2) + sqrt(9))) - sqrt(9)). -4*sqrt(11)/33 Simplify (-2 + sqrt(14)/(-3*((sqrt(7) - sqrt(63) - sqrt(7)) + sqrt(7)) + sqrt(7)))**2. -4*sqrt(2)/7 + 198/49 Simplify (sqrt(2448) - (sqrt(2448) + (sqrt(2448) + 0 - sqrt(2448) - sqrt(2448))*2))**2 + (sqrt(170)/(sqrt(80)/(2*sqrt(8))))**2. 9860 Simplify (sqrt(39)/sqrt(3)*-1 - sqrt(13) - sqrt(91)/sqrt(112))**2. 1053/16 Simplify (-5*(-1*sqrt(7) + sqrt(7)) + sqrt(35)/(sqrt(25)/sqrt(5) + sqrt(5)))**2. 7/4 Simplify sqrt(121)/(sqrt(11) - 2*sqrt(11)) - (((sqrt(77)*-1)/sqrt(7))**2 + sqrt(11)). -11 - 2*sqrt(11) Simplify -2*(-5*sqrt(17)*3 + 5)**2. -7700 + 300*sqrt(17) Simplify ((sqrt(432) + sqrt(432) + sqrt(432)*2 + sqrt(432))**2 - sqrt(3)) + -2 + (sqrt(27))**2. -sqrt(3) + 10825 Simplify ((sqrt(1900) + sqrt(1900)*-1 + 5)*-4)**2. 400 Simplify sqrt(112)*-4*-2. 32*sqrt(7) Simplify -1 + sqrt(96)/sqrt(8). -1 + 2*sqrt(3) Simplify sqrt(7) - (sqrt(7)*3 + -4) - (sqrt(7) - (sqrt(7) - ((sqrt(7) + -1 - sqrt(7)) + 4)**2)). -2*sqrt(7) - 5 Simplify 0 + 1 + (sqrt(6) - sqrt(240)/sqrt(10))/sqrt(2). -sqrt(3) + 1 Simplify 2 + (sqrt(1331) - sqrt(1331)*1)**2 + sqrt(1331) - sqrt(1331). 2 Simplify 1*sqrt(425) - (-4 + sqrt(17)*-3). 4 + 8*sqrt(17) Simplify ((-2*sqrt(408))/sqrt(12))/sqrt(2). -2*sqrt(17) Simplify (1 + sqrt(26)/sqrt(2) + -1 + -1)**2. -2*sqrt(13) + 14 Simplify (sqrt(45) - -2*sqrt(45))*-5*5. -225*sqrt(5) Simplify sqrt(2) + sqrt(8)/(2*sqrt(4)) + 2. 2 + 3*sqrt(2)/2 Simplify -6*(2 + sqrt(72))**2. -456 - 144*sqrt(2) Simplify 5 + (-5 + sqrt(38)/sqrt(2) - sqrt(19)) - sqrt(76)/(sqrt(4) + -3*(sqrt(4) + (-1*sqrt(4) - sqrt(4)))). -sqrt(19)/4 Simplify (-1*sqrt(567)*6)**2. 20412 Simplify (-1*(sqrt(24) + sqrt(384)))/(sqrt(108)*-3). 5*sqrt(2)/9 Simplify 5*(sqrt(76)*1*2 + sqrt(76)). 30*sqrt(19) Simplify -1 + (sqrt(13)*2 + 1 - sqrt(13)). sqrt(13) Simplify -4*(sqrt(242) + (sqrt(242) - (sqrt(242) + 1)*-5) + 4)**2. -47756 - 5544*sqrt(2) Simplify (sqrt(117)*-4*-2 - sqrt(117))/sqrt(9) + 0. 7*sqrt(13) Simplify 2 + -5*(sqrt(396) + -1)**2. -1983 + 60*sqrt(11) Simplify sqrt(3) + 2 + -4 - (0 + sqrt(243)). -8*sqrt(3) - 2 Simplify (5*(sqrt(84) - (sqrt(84)*-1 - sqrt(84))) + sqrt(84) + sqrt(84))/(sqrt(972)*-2). -17*sqrt(7)/18 Simplify (sqrt(2) + -3*sqrt(2) + sqrt(2))*-4 + -3. -3 + 4*sqrt(2) Simplify (1*sqrt(152)*-5)/(-3*((sqrt(8)*1 - sqrt(8)) + sqrt(8))). 5*sqrt(19)/3 Simplify (1*sqrt(1331) + -3)**2 + (sqrt(1100) + 1)*-6. -126*sqrt(11) + 1334 Simplify 2 + (2*sqrt(28))**2 + sqrt(7) + -3. sqrt(7) + 111 Simplify ((sqrt(1573) - (sqrt(1573) + -1))*-2)**2. 4 Simplify 2*(5*sqrt(10))/sqrt(2)*-4. -40*sqrt(5) Simplify (-2 + 5*(sqrt(5) + -5)*2)**2. -1040*sqrt(5) + 3204 Simplify sqrt(51)/((sqrt(243) - sqrt(3))*-6). -sqrt(17)/48 Simplify -5*sqrt(52)/sqrt(4) - (sqrt(13) + sqrt(832) + sqrt(832)*1). -22*sqrt(13) Simplify (-1*sqrt(2160) - sqrt(15))/((sqrt(180)/sqrt(3))/sqrt(12) + sqrt(5)). -13*sqrt(3)/2 Simplify ((sqrt(2736) - (sqrt(2736) + 1*(3 + sqrt(2736)))) + 0 + sqrt(2736) + sqrt(2736) + 5)**2. 48*sqrt(19) + 2740 Simplify 4 + -6*sqrt(12). -12*sqrt(3) + 4 Simplify 2 + sqrt(300) + 5. 7 + 10*sqrt(3) Simplify (sqrt(330)/sqrt(160))/(sqrt(1331) + sqrt(1331)*1). sqrt(3)/88 Simplify sqrt(11) + sqrt(11)*-1*3 - (-4 + sqrt(176)). -6*sqrt(11) + 4 Simplify (1 + -2 + 2*sqrt(425))**2*4. -80*sqrt(17) + 6804 Simplify -4*(5 + (sqrt(3) - (sqrt(3)*2)**2)). -4*sqrt(3) + 28 Simplify 3 + 4*sqrt(1088). 3 + 32*sqrt(17) Simplify ((-1*sqrt(14))/sqrt(2) - (sqrt(7) - (sqrt(56) - sqrt(504))/sqrt(8))**2) + 3. -60 - sqrt(7) Simplify (4*(sqrt(2) + 1) - (sqrt(2) - (sqrt(2) + -3))*-6)**2. 176*sqrt(2) + 516 Simplify 1 + sqrt(1053)*2 + (sqrt(1053) - ((-4 + (sqrt(1053) + 0 - sqrt(1053)))**2 + sqrt(1053))). -15 + 18*sqrt(13) Simplify 1 + sqrt(2299) - sqrt(2299) - (3*sqrt(38)/sqrt(2))**2. -170 Simplify (3*sqrt(495))/(sqrt(20)/(sqrt(16)/sqrt(4))). 9*sqrt(11) Simplify sqrt(68) + (sqrt(68) - (0 + sqrt(68) + 4)) - (1 + sqrt(68) + -2). -3 Simplify (5*(sqrt(21)/sqrt(7)*3 - sqrt(3)))**2. 300 Simplify (-4*(-1 + sqrt(605)))**2 + 3. -352*sqrt(5) + 9699 Simplify sqrt(39)/(sqrt(27)/(sqrt(18)/sqrt(2)))*5. 5*sqrt(13) Simplify ((sqrt(300) - (sqrt(300) + 0 + sqrt(300))) + 4)**2 + -2. -80*sqrt(3) + 314 Simplify 6*sqrt(54)/sqrt(3). 18*sqrt(2) Simplify (sqrt(243) + sqrt(243)*-2)*3 - (sqrt(243) + -2 + 3). -36*sqrt(3) - 1 Simplify (-5 + (1 + sqrt(200))**2)*-4. -784 - 80*sqrt(2) Simplify (sqrt(117) - (sqrt(117) + -2))**2 + sqrt(13) - (-1 + sqrt(117)). -2*sqrt(13) + 5 Simplify 2*sqrt(325) - 3*-2*sqrt(13). 16*sqrt(13) Simplify sqrt(84)/(sqrt(588)*2). sqrt(7)/14 Simplify (sqrt(39) + (1*sqrt(234) + sqrt(234))/sqrt(6))/(sqrt(12)/sqrt(100)). 15*sqrt(13) Simplify (1 + 1*sqrt(171))**2. 6*sqrt(19) + 172 Simplify ((3*sqrt(68) - sqrt(68))*6)/sqrt(4). 12*sqrt(17) Simplify (-4*sqrt(114)/sqrt(3))/(sqrt(550)/sqrt(11) - sqrt(2)). -sqrt(19) Simplify -1*(1 + sqrt(48) + -1)**2. -48 Simplify (5*(-2 + sqrt(68)/sqrt(4) - (sqrt(102)*-1)/sqrt(6)))**2. -200*sqrt(17) + 1800 Simplify (sqrt(38)*-2*-6)/(sqrt(2) - (sqrt(6)/sqrt(48) - sqrt(2))). 48*sqrt(19)/7 Simplify ((sqrt(2178) + sqrt(2178)*-3)/(sqrt(81)/(sqrt(9)*-3)))**2. 8712 Simplify (sqrt(11) - ((-2*sqrt(539))**2 + sqrt(539))) + (sqrt(11) + (sqrt(99) + sqrt(99)*2 + sqrt(99) + sqrt(99))/sqrt(9))**2. -1760 - 6*sqrt(11) Simplify 4*(sqrt(66)/sqrt(216))**2. 11/9 Simplify (-4*-1*sqrt(7) + 1 + sqrt(252))**2*-5. -3505 - 100*sqrt(7) Simplify sqrt(45)/sqrt(81) + sqrt(5) + -2*sqrt(320) + sqrt(90)/sqrt(2)*3. -17*sqrt(5)/3 Simplify (sqrt(12)*-1 - sqrt(12))*6. -24*sqrt(3) Simplify (sqrt(78)/sqrt(
{ "pile_set_name": "DM Mathematics" }
uw. What is prob of picking 1 w and 1 u? 1/2 Four letters picked without replacement from {s: 18, u: 2}. Give prob of picking 4 s. 12/19 Two letters picked without replacement from rvvr. What is prob of picking 2 r? 1/6 Calculate prob of picking 3 p when three letters picked without replacement from nffppnfpppfpnppff. 7/85 Two letters picked without replacement from {v: 5, g: 1, z: 4, s: 1}. What is prob of picking 1 g and 1 s? 1/55 Three letters picked without replacement from {a: 2, w: 6, v: 8, t: 2}. What is prob of picking 2 w and 1 a? 5/136 Four letters picked without replacement from dvddddvdvvddvdddvdd. What is prob of picking 1 v and 3 d? 143/323 Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {r: 1, y: 5, o: 2, j: 2, z: 3, k: 7}. 21/190 What is prob of picking 2 i when two letters picked without replacement from jiijjjji? 3/28 What is prob of picking 1 l and 3 d when four letters picked without replacement from zrrdrzllzzddrrrrr? 1/1190 Calculate prob of picking 2 m, 1 a, and 1 d when four letters picked without replacement from xmadxmmamkmx. 4/99 Three letters picked without replacement from {l: 7, z: 4}. Give prob of picking 1 l and 2 z. 14/55 Two letters picked without replacement from {z: 1, h: 1, p: 1, s: 2, i: 2}. What is prob of picking 1 z and 1 h? 1/21 Two letters picked without replacement from tno. What is prob of picking 1 t and 1 o? 1/3 What is prob of picking 2 a and 1 o when three letters picked without replacement from aoaooaooao? 3/10 What is prob of picking 2 n and 1 v when three letters picked without replacement from pnkxnxpkxpvknxvxnv? 3/136 Three letters picked without replacement from {k: 5, z: 1, j: 2, q: 1}. What is prob of picking 2 k and 1 j? 5/21 Two letters picked without replacement from yyyy. Give prob of picking 2 y. 1 Two letters picked without replacement from {e: 1, z: 5, y: 3}. Give prob of picking 2 z. 5/18 Calculate prob of picking 1 o and 3 d when four letters picked without replacement from hodhh. 0 Three letters picked without replacement from {x: 4, q: 8, u: 2, f: 1, b: 4}. Give prob of picking 1 u, 1 x, and 1 f. 8/969 What is prob of picking 2 o when two letters picked without replacement from {s: 4, o: 3}? 1/7 What is prob of picking 1 n and 1 u when two letters picked without replacement from nnnnvunnnvuu? 7/22 What is prob of picking 2 z when two letters picked without replacement from {z: 5, v: 15}? 1/19 Two letters picked without replacement from srbbsjbbzbrzrbzj. Give prob of picking 2 j. 1/120 What is prob of picking 1 h and 1 p when two letters picked without replacement from odbdhpfh? 1/14 Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {j: 1, i: 4, d: 1, p: 6, z: 6}. 2/51 Four letters picked without replacement from vvvubvbvvbbbbb. What is prob of picking 2 v, 1 u, and 1 b? 15/143 What is prob of picking 1 l, 1 i, 1 c, and 1 z when four letters picked without replacement from dcdlcbzi? 1/35 Four letters picked without replacement from nptnnxaapnxnt. What is prob of picking 2 x and 2 a? 1/715 What is prob of picking 3 r and 1 d when four letters picked without replacement from rddrddddd? 0 Four letters picked without replacement from {u: 3, m: 1, f: 12}. What is prob of picking 3 f and 1 m? 11/91 Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {i: 1, q: 1, j: 6, b: 1}. 1/6 Two letters picked without replacement from {c: 2, r: 9, k: 2, m: 2, u: 5}. What is prob of picking 2 k? 1/190 Three letters picked without replacement from {z: 2, e: 4, q: 4, m: 2}. What is prob of picking 1 z and 2 m? 1/110 What is prob of picking 3 w when three letters picked without replacement from bbbwbbbbbbbbwwb? 1/455 Four letters picked without replacement from memeyeeememmeeen. Give prob of picking 3 e and 1 y. 3/65 Two letters picked without replacement from xwxxxfinx. Give prob of picking 1 n and 1 x. 5/36 Four letters picked without replacement from ptpttpp. Give prob of picking 3 t and 1 p. 4/35 What is prob of picking 3 o when three letters picked without replacement from {t: 2, o: 10}? 6/11 Two letters picked without replacement from {m: 7}. Give prob of picking 2 m. 1 Two letters picked without replacement from kbnrlnrrnkabnrn. What is prob of picking 1 l and 1 n? 1/21 Calculate prob of picking 3 k when three letters picked without replacement from kzkkkkkzkkkzkkkk. 143/280 Two letters picked without replacement from nnunnnuyunnbyu. What is prob of picking 1 n and 1 b? 1/13 Two letters picked without replacement from ifwfwijjwvfvffvj. Give prob of picking 1 v and 1 j. 3/40 Four letters picked without replacement from izziiiorezeiewziew. What is prob of picking 1 w, 1 i, 1 o, and 1 z? 4/255 Two letters picked without replacement from iynyfns. Give prob of picking 1 s and 1 n. 2/21 Three letters picked without replacement from {o: 1, l: 2, f: 10, r: 7}. Give prob of picking 1 r, 1 f, and 1 o. 7/114 Two letters picked without replacement from bwkbwwkwbwwkwk. Give prob of picking 1 k and 1 w. 4/13 Four letters picked without replacement from iiiiixxii. Give prob of picking 3 i and 1 x. 5/9 Calculate prob of picking 1 v and 1 o when two letters picked without replacement from kjojjxjkvxkook. 3/91 What is prob of picking 2 l when two letters picked without replacement from {l: 10}? 1 What is prob of picking 1 p, 2 y, and 1 j when four letters picked without replacement from yjpppyyppjjyjjjjjjpj? 24/323 Three letters picked without replacement from abmqmhhhmmfahhf. What is prob of picking 2 f and 1 q? 1/455 Calculate prob of picking 2 g when two letters picked without replacement from gjeegjjgeggjj. 5/39 Calculate prob of picking 1 v and 3 o when four letters picked without replacement from kkovooo. 4/35 Calculate prob of picking 2 s when two letters picked without replacement from {c: 2, s: 5}. 10/21 Three letters picked without replacement from {u: 4, w: 10}. What is prob of picking 2 u and 1 w? 15/91 Four letters picked without replacement from lelelceeeeeezee. Give prob of picking 1 c and 3 l. 1/1365 Three letters picked without replacement from {z: 13, o: 3}. What is prob of picking 2 o and 1 z? 39/560 Calculate prob of picking 1 h, 1 q, 1 k, and 1 a when four letters picked without replacement from {k: 2, b: 1, q: 6, h: 1, a: 3}. 36/715 What is prob of picking 1 t, 2 h, and 1 v when four letters picked without replacement from {w: 2, h: 3, t: 6, b: 3, v: 3}? 27/1190 Two letters picked without replacement from xxggxx. What is prob of picking 2 x? 2/5 Three letters picked without replacement from hgygrnnghgcng. What is prob of picking 1 g and 2 n? 15/286 What is prob of picking 2 s when two letters picked without replacement from ddsxsdxxxsx? 3/55 Calculate prob of picking 2 s and 1 j when three letters picked without replacement from {s: 7, v: 2, w: 1, f: 1, b: 2, j: 1}. 3/52 Two letters picked without replacement from {i: 4, j: 2}. Give prob of picking 2 i. 2/5 Four letters picked without replacement from {l: 4, k: 2, y: 3}. Give prob of picking 2 k, 1 y, and 1 l. 2/21 Three letters picked without replacement from {p: 1, u: 1, h: 1, a: 4, w: 1}. Give prob of picking 1 u, 1 a, and 1 h. 1/14 Four letters picked without replacement from mbnkbmkmmmbmdmbmm. What is prob of picking 1 b, 1 d, and 2 k? 1/595 Calculate prob of picking 2 e when two letters picked without replacement from ydyedbssyyyedeyuesb. 2/57 Three letters picked without replacement from mmxppppmpmxpmxxp. What is prob of picking 3 p? 1/16 Calculate prob of picking 2 m when two letters picked without replacement from mmymppmymmmpmymp. 3/10 What is prob of picking 3 b when three letters picked without replacement from {b: 3, u: 2}? 1/10 Four letters picked without replacement from bnlembz. What is prob of picking 2 b, 1 e, and 1 l? 1/35 Calculate prob of picking 1 n and 1 f when two letters picked without replacement from zqntnfo. 2/21 Two letters picked without replacement from iiicicii. What is prob of picking 1 c and 1 i? 3/7 Calculate prob of picking 3 e when three letters picked without replacement from {g: 9, e: 11}. 11/76 What is prob of picking 2 g and 1 d when three letters picked without replacement from {d: 2,
{ "pile_set_name": "DM Mathematics" }
+ 237 + 241 - 724 + 244 to y + n*v and give y. -2 Rearrange (-20 + 20 + 15*m)*(-m**2 + 0*m + 0*m)*(-85 + 45*m + 85) to the form v*m**2 + n + x*m**4 + q*m + w*m**3 and give x. -675 Express -64*m**3 - 4 - 9 + 12*m**3 - 5*m + 16 - 87*m**3 as c*m**3 + s*m + v + g*m**2 and give c. -139 Rearrange -6008*w**4 - 1 - 5*w**3 + 37*w + 6*w + 6007*w**4 to f + k*w**3 + p*w**4 + r*w + u*w**2 and give k. -5 Express -2430*t - 4348*t + 3000*t - 4983*t as a*t + x and give a. -8761 Express (-2259 + 11374 + 16737)*(2 - 4 + 3)*(-4*d + d + 2*d) in the form x*d + u and give x. -25852 Express -2*g**3 - 4*g + 4*g + (g + 0*g + 32*g)*(3*g**2 - 7 - 5*g - 4*g + 5*g) as x + o*g**2 + m*g + k*g**3 and give o. -132 Express (4*r**4 - r**2 + r**2)*(-2203 + 4153 - 786 + 3235 + 4128) in the form p + s*r**4 + o*r + z*r**2 + c*r**3 and give s. 34108 Rearrange ((-13 - 1 + 2)*(28*h - 2*h + 10*h) + 2*h + 1 - 1)*(1 - 11 + 5) to the form m*h + a and give m. 2150 Rearrange (-22 - 228 - 34)*(-r + 0*r + 12*r**2 + 6*r**2) to a + p*r**2 + c*r and give p. -5112 Rearrange -89 - 8*o + 17 + 21 + 25 + 25 + 12*o**3 to l*o**3 + d + f*o + t*o**2 and give d. -1 Express (79 + 305 - 71)*(226*p**2 - 226*p**2 - 24*p**4) in the form s*p**2 + a*p + q*p**4 + b + i*p**3 and give q. -7512 Express 2*m + 13*m**2 - m + m - 20*m**2 + 2 + 8*m**2 - 531*m**3 as a + z*m**3 + o*m + n*m**2 and give n. 1 Express 10 - 3*p - 22 + 5 - 5*p - 12*p**2 as l + a*p + h*p**2 and give h. -12 Express -4*j + 5*j - 15*j + 47*j**2 - 4*j**2 in the form d*j + h + v*j**2 and give d. -14 Rearrange -199*u**2 + 358*u**2 - 238 - 190*u**2 to the form a + k*u + y*u**2 and give y. -31 Rearrange 28 - 36 - 3*k + 3*k - 49*k**3 + 0*k - 4*k**2 to the form a*k**3 + v*k**2 + z*k + m and give a. -49 Rearrange 42 - 5*o**3 - 22 - 2*o - 23 + 6*o**2 to p*o**2 + u*o + y*o**3 + v and give v. -3 Rearrange (3*h**2 - 4*h**2 + 4 - 2)*(-6 - 3*h + 0*h + 2*h)*(148 + 136 - 74) to d*h**2 + g*h**3 + l*h + x and give d. 1260 Express (3 - 3 + 1)*(-w + w + 2*w) + w + w - w - 9281*w + 349*w + 2370*w in the form g*w + p and give p. 0 Express (10*r + 27*r + 7*r)*(3 + 1 - 3)*(12 - 7 + 7)*(r**2 + 2*r**2 + 2*r**2) in the form x*r**3 + f*r + q + v*r**2 and give q. 0 Rearrange (-1 + 5 - 5)*(0*j + 0*j + j**3) + 192738*j**2 - 96387*j**2 - 1 - 19*j - 23*j**3 - 96343*j**2 to the form t*j + w + r*j**3 + f*j**2 and give f. 8 Rearrange -137*r**2 - 47*r**2 + 53*r**2 + 10 + 8 - 2 to z + j*r**2 + n*r and give z. 16 Rearrange (21*j**2 - 3*j**2 + 2*j**2)*(j - 2*j + 2*j)*(4*j - 21*j + 6*j)*(-2 - 1 + 5) to l + w*j + b*j**3 + k*j**4 + o*j**2 and give k. -440 Express 441*j - 1245*j + 171*j - 88*j - 1468*j in the form n + o*j and give o. -2189 Rearrange (18 + 17 + 9)*(-f**2 - 2 + 11857*f - 12018*f + 3*f**2)*(-1 - 1 + 1) to the form c*f + j*f**2 + o and give o. 88 Express (-25*i**2 + 161*i**2 + 42*i**2)*(19*i**2 + 45*i**2 + 30*i**2) as f*i + r*i**4 + c*i**3 + s + a*i**2 and give r. 16732 Rearrange 16737*w**2 + 30593*w**2 - 21389*w**2 to the form q*w + r + s*w**2 and give r. 0 Express (-6*l**2 + 13*l**2 + 36*l**2)*(6 - 4 + 0)*(1 + 0 + 1)*(0 + 4 - 3) in the form b*l**2 + t*l + f and give f. 0 Rearrange -11*z**2 + 77*z**3 + 3*z + z**4 + 83*z**3 - 236*z**3 + 77*z**3 to the form h*z**3 + o + a*z + r*z**4 + s*z**2 and give h. 1 Rearrange 1 + 8460*i**2 + 3*i - 16950*i**2 + 8488*i**2 + 75*i**3 to r + z*i**2 + l*i + d*i**3 and give z. -2 Rearrange (-7441*u + 7099*u - 14081*u)*(2*u + 0*u + 0*u) to the form q + y*u + h*u**2 and give y. 0 Express 550*q - 1109*q + 127 + 558*q in the form g + o*q and give g. 127 Express (6 - 1 + 0)*(56*q - 28*q - 44*q) + (-4 + 5 + 1)*(3 - 2*q - 3) - q + 0*q - q - q + 2*q - 2*q as u + y*q and give y. -87 Rearrange -10*g - 12*g - 7 + 304*g**2 + 6*g + 14 - 302*g**2 to the form h + a*g + u*g**2 and give u. 2 Express -55 + 179 + 733*u - 59 - 57 in the form g*u + r and give g. 733 Express 32768*w + 32783*w + 433*w**2 - 65555*w + 1 as f*w**2 + k*w + u and give k. -4 Rearrange f + 44 + 56*f**2 + 2*f**4 - 2*f**3 - 96*f**2 + 51 - 93 - 281*f**2 to u*f**4 + n*f**3 + x + w*f + j*f**2 and give x. 2 Express -43 - 102*i**2 + i - 93*i**2 - 5*i + 6*i + 194*i**2 in the form w*i**2 + j + f*i and give j. -43 Rearrange -2*z**3 + 2 + 47*z**3 - 900*z**2 + 453*z**2 + z - 21*z**4 + 20*z**4 + 448*z**2 to m*z + g*z**4 + f*z**3 + x*z**2 + j and give x. 1 Express 15*g + 48*g**2 + 43 - 50*g**2 + 20*g + 14 - 7*g in the form h*g**2 + c*g + b and give c. 28 Express (0*y - 5*y + 4*y)*(-5 + 3 + 1) + 293 - 293 - 12*y - 4*y + 0*y + 5*y + 22 - 23*y - 37 + 16 in the form o + u*y and give o. 1 Express (2578*g**3 - 2*g**2 + 2*g**2 - 6313*g**3)*(1 + 0 - 2)*(-2 + 8 - 1) + 4*g**2 - 4*g**2 + g**3 as u*g**3 + n + p*g**2 + a*g and give a. 0 Rearrange -12*j**4 - 634*j**3 - 644*j**3 - j**2 - 4*j**4 + 1283*j**3 + 2 to the form o*j**3 + c + f*j**4 + v*j**2 + a*j and give f. -16 Rearrange -1 + 25*w**3 + 1 - 31*w**3 - 3*w - w**4 - 7 - 1 to the form r*w**3 + m*w**4 + d*w + h + g*w**2 and give r. -6 Rearrange 972*p + 9244*p - 1544*p to the form l + c*p and give c. 8672 Express -q**4 + 11*q - 10541 + 10539 - 2*q**2 + q**2 + 2*q**3 in the form h + k*q**3 + f*q**2 + v*q**4 + d*q and give v. -1 Rearrange -384 + 462 - 31170*x - 78 to i + c*x and give c. -31170 Express -1970*m + 5*m**2 + 2*m**4 + 2 + 8*m**3 + 1973*m + 0*m**3 as k*m**2 + b*m**3 + t*m + s*m**4 + u and give t. 3 Express (3 - 3 - 1 - 2 + 3 - 4 + (2 - 4 + 0)*(-4 + 2 + 0) + 0 + 1 + 0)*(6*u**4 - 113*u**4 + 562*u**4) in the form w*u + n*u**2 + f*u**3 + a + y*u**4 and give y. 455 Express 13*v**2 - 34978 + 34978 + 7241*v**2 in the form j*v + i*v**2 + o and give i. 7254 Express 2099*c - 7838 + 865*c - 3*c**2 + 7838 as h + m*c + k*c**2 and give k. -3 Express 55*a + 20*a + 58*a + 4 - 4 + 2*a + (4*a - a - a)*(-2 - 1 + 4) + 4*a + 7*a - 9*a as k + h*a and give h. 139 Rearrange -1192*r**3 - 519*r**3 - r - 49743*r**2 + 49743*r**2 to d*r**2 + p + g*r + m*r**3 and give g. -1 Express -19 + 19 + 1238*w - 2851*w - 2014*w in the form m + v*w and give v. -3627 Rearrange 160*d**2 - 2*d + 1 - 2 - 160*d**2 + d**3 - 277*d**4 + 3 to p*d**4 + x*d**2 + g + y*d**3 + r*d and give p. -277 Express 540 - 138 - 135 - 135 - 131 + 14807*i**2 as n + u*i**2 + q*i and give n. 1 Rearrange (-3*z + 0*z + 5*z)*(1 + z - 1) + 65*z - 33*z - 29*z - 21*z**2 - 205 + 205 + 22*z**2 to k*z**2 + y*z + j and give y. 3 Express (-3 + 4 + 1)*(-95*c**2 - 43*c**2 - 76*c**2) - 8*c**2 + c**2 - c**2 as n + s*c**2 + k*c and give s. -436 Rearrange 68 + 68 - 5203*x + 54 - 190 to the form h + j*x and give j. -5203 Rearrange (-356*w - 389*w + 42*w)*(14*w**2 - 36 + 36) to t*w**2 + j*w + g*w**3 + y and give g. -9842 Rearrange 4971*n - 5074*n + 4*n**2 - 45*n**2 to the form d*n + g + a*n**2 and give a. -41 Express (-3 + 2 + 3)*(-4*i - 3*i - i) - 102 - 4*i + 199 - 103 as z*i + w and give z. -20 Rearrange -5*a + 24*a - 2 - 17*a**3 - 2*a**2 + 6*a to the form j*a**2 + l*a + o + c*a**3 and give l. 25 Rearrange (3 + 3 - 3)*(584 + 250 - 96)*(q + 3*q - 6*q) to h + z*q and give z. -4428 Rearrange (-186*x + 186*x - 29*x**2)*(0*x - 6*x + 3*x) - 186*x**3 + 0*x + 209*x**3 + 0*x to the form c*x**2 + y*x**3 + a + b*x and give c. 0 Express 345442 - 345442 + 1415*g as k*g + u and give k. 1415 Rearrange (0 + 0 + 2*g**2)*(-3*g + 1 - 1) + (54 + 27 + 9)*(0*g**3 + 5*g**3 + 2*g**3) to a*g + j*g**3 + c + f*g**2 and give j. 624 Rearrange (2*u**2 + 3*u - 3*u)*(0 + 2 + 0)*(0 + 1 + 1)*(-951*u - 3975*u + 781*u) to n*u + d*u**2 + g*u**3 + s and give g. -33160 Express (-5*n**3 + 6410*n - 6413*n + 4*n**3 + 2)*(-7 + 6 + 12*n - n) as r*n + z + b*n**2 + a*n**3 + u*n**4 and give b. -33 Rearrange (0*w**3 - 4*w**3 + 6*w**3)*(4 + 0 - 1)*(-665*w - 1268 + 1268) + w**4 - 2*w**4 + 0*w**4 to m*w**4 + l*w**2 + f + o*w + g*w**3 and give m. -3991 Rearrange (4347 - 4346 + 104*b - 7*b)*(2 - 2 - 2 + (0 + 2 - 1)*(10 + 2 + 0)) to the form y*b + z and give z. 10 Rearrange 72 - 73 + 89*d + 2*d**2 - 84*d + 21*d**3 to c*d + a*d**2 + o + t*d**3 and give t. 21 Rearrange -20 + 194025*v**3 - 3*v + 2*v**2 + v - 193733*v**3 + 23 to f*v**3 + y*v**2 + q*v + z and give q. -2 Rearrange -23*y + 225 - 16*y - 333 to a*y + q and give a. -39 Express (3 + 1 - 2)*(8206 + 3*y - 6820 - 2*y) as z + d*y and give d. 2 Rearrange -d**2 - 119*d**3 + 96*d**3 + 49 - 14 - 18 - 15 + 22*d + 2*d**4 to the form l + t*d**2 + f*d
{ "pile_set_name": "DM Mathematics" }
ement from otctott. What is prob of sequence ttct? 1/35 Four letters picked without replacement from {k: 2, z: 2, f: 4}. Give prob of sequence zzkf. 1/105 What is prob of sequence cfc when three letters picked without replacement from {y: 1, f: 5, a: 1, r: 1, c: 6, e: 3}? 5/136 What is prob of sequence qqx when three letters picked without replacement from bxbqqxllx? 1/84 What is prob of sequence puuu when four letters picked without replacement from uupuuxuuxxuxxx? 5/572 Calculate prob of sequence xxq when three letters picked without replacement from {q: 11, x: 3}. 11/364 Two letters picked without replacement from {y: 3, c: 3}. Give prob of sequence yc. 3/10 What is prob of sequence lu when two letters picked without replacement from lnrnnnlnunfnuunlufln? 4/95 Three letters picked without replacement from nnnnfnnfnsnsnnn. What is prob of sequence ffn? 11/1365 Four letters picked without replacement from {r: 2, p: 4, i: 1}. Give prob of sequence pprp. 2/35 Three letters picked without replacement from {x: 2, n: 2, p: 9}. Give prob of sequence npx. 3/143 Two letters picked without replacement from riirirpirpirriipi. What is prob of sequence pr? 9/136 Three letters picked without replacement from ddugaju. What is prob of sequence gja? 1/210 Two letters picked without replacement from hhschlulhuhuhsuus. What is prob of sequence hl? 3/68 Two letters picked without replacement from kkztlffyz. Give prob of sequence fz. 1/18 Two letters picked without replacement from hwwxxwxwwwxwwh. What is prob of sequence hh? 1/91 Three letters picked without replacement from {n: 5, p: 3, v: 3, o: 1}. What is prob of sequence pvn? 3/88 Two letters picked without replacement from vuqnvu. Give prob of sequence vn. 1/15 Calculate prob of sequence krn when three letters picked without replacement from kkkrkrxrnxknk. 3/143 Calculate prob of sequence pppz when four letters picked without replacement from {z: 2, p: 6}. 1/7 Three letters picked without replacement from jppjpjypyj. What is prob of sequence ppj? 1/15 Two letters picked without replacement from oooo. Give prob of sequence oo. 1 Two letters picked without replacement from {x: 5, s: 1, m: 7}. Give prob of sequence xx. 5/39 Two letters picked without replacement from wwwwhhwwwwwwwwwhhwwh. Give prob of sequence ww. 21/38 What is prob of sequence dtt when three letters picked without replacement from tdtddtddddt? 14/165 Calculate prob of sequence tkj when three letters picked without replacement from zikjktijzjaa. 1/220 Calculate prob of sequence wgg when three letters picked without replacement from {w: 5, g: 2}. 1/21 What is prob of sequence ggq when three letters picked without replacement from {q: 1, g: 3}? 1/4 Two letters picked without replacement from {s: 4, e: 2, p: 1, f: 3}. What is prob of sequence pf? 1/30 What is prob of sequence gnl when three letters picked without replacement from {n: 3, d: 4, g: 2, p: 2, l: 1}? 1/220 Three letters picked without replacement from {e: 7, c: 3}. What is prob of sequence cce? 7/120 Two letters picked without replacement from {k: 4, z: 3}. What is prob of sequence zk? 2/7 Three letters picked without replacement from {c: 4, b: 6}. What is prob of sequence cbb? 1/6 What is prob of sequence bb when two letters picked without replacement from {b: 1, v: 1, w: 1}? 0 Calculate prob of sequence ip when two letters picked without replacement from {d: 2, p: 1, i: 2, j: 1}. 1/15 Four letters picked without replacement from pjqnnjjnjjpnjjpnpn. Give prob of sequence ppnp. 1/510 Two letters picked without replacement from uuqqq. Give prob of sequence qu. 3/10 What is prob of sequence wyw when three letters picked without replacement from {w: 3, y: 9}? 9/220 Two letters picked without replacement from {e: 3, x: 11}. What is prob of sequence ex? 33/182 Three letters picked without replacement from {q: 6, p: 3, e: 3, f: 1}. What is prob of sequence pqq? 15/286 Calculate prob of sequence xxrr when four letters picked without replacement from rrxrrrx. 1/21 Two letters picked without replacement from {c: 9, q: 1, s: 2, n: 4}. What is prob of sequence cc? 3/10 Two letters picked without replacement from {k: 4, r: 5, s: 5, u: 2, o: 3}. What is prob of sequence ku? 4/171 Two letters picked without replacement from ezzzzqzezeezeeezeq. What is prob of sequence qe? 8/153 Four letters picked without replacement from {r: 1, e: 6, o: 11}. What is prob of sequence eeee? 1/204 Three letters picked without replacement from {k: 3, x: 1, u: 11}. Give prob of sequence ukx. 11/910 Two letters picked without replacement from aooavoaoaoe. What is prob of sequence oo? 2/11 What is prob of sequence qqk when three letters picked without replacement from qqqkkqqqqqkq? 9/55 Calculate prob of sequence xka when three letters picked without replacement from abapkababpxbbbb. 2/1365 Four letters picked without replacement from {s: 3, a: 4, b: 1, h: 3}. What is prob of sequence haha? 1/110 Calculate prob of sequence ffcc when four letters picked without replacement from {b: 4, c: 5, f: 8}. 1/51 Four letters picked without replacement from wdgwjwgguwuw. What is prob of sequence wuww? 1/99 Calculate prob of sequence upp when three letters picked without replacement from {p: 2, k: 1, u: 1}. 1/12 What is prob of sequence ay when two letters picked without replacement from {y: 4, a: 2, i: 2, g: 2}? 4/45 Two letters picked without replacement from lkyrkkmylk. What is prob of sequence lk? 4/45 Two letters picked without replacement from rwrj. What is prob of sequence wr? 1/6 Three letters picked without replacement from {y: 1, f: 5, o: 12}. What is prob of sequence off? 5/102 Three letters picked without replacement from ttggtttgtt. Give prob of sequence tgg. 7/120 What is prob of sequence mhh when three letters picked without replacement from hhhhmm? 1/5 Two letters picked without replacement from {z: 1, b: 2, u: 1}. What is prob of sequence uz? 1/12 What is prob of sequence cct when three letters picked without replacement from {t: 17, c: 2}? 1/171 Two letters picked without replacement from cxxrbrvjjbbjjbbjjjb. Give prob of sequence rv. 1/171 Three letters picked without replacement from ytqtphr. What is prob of sequence qpr? 1/210 What is prob of sequence nn when two letters picked without replacement from {n: 9, z: 10, e: 1}? 18/95 Three letters picked without replacement from {a: 6, g: 6, k: 7}. Give prob of sequence aaa. 20/969 Calculate prob of sequence ep when two letters picked without replacement from peeekpkpeeepepppeek. 7/38 Two letters picked without replacement from {v: 1, q: 3}. Give prob of sequence qq. 1/2 Two letters picked without replacement from {n: 8, o: 10, t: 1}. What is prob of sequence tn? 4/171 Four letters picked without replacement from goggeooeg. Give prob of sequence eooe. 1/252 Three letters picked without replacement from {x: 2, w: 1, g: 4, u: 1}. Give prob of sequence gux. 1/42 What is prob of sequence ddd when three letters picked without replacement from {d: 3}? 1 Two letters picked without replacement from pppuuuuuuuuuguuuuguu. What is prob of sequence up? 9/76 Two letters picked without replacement from {r: 7, d: 3}. Give prob of sequence rr. 7/15 What is prob of sequence uv when two letters picked without replacement from wtttukutvt? 1/45 What is prob of sequence npr when three letters picked without replacement from npzrn? 1/30 Calculate prob of sequence bbz when three letters picked without replacement from {w: 5, g: 4, z: 1, f: 1, b: 3}. 1/364 Calculate prob of sequence oo when two letters picked without replacement from geoegfgoforfoeegxgf. 2/57 Three letters picked without replacement from sqqqsqqsqsqs. Give prob of sequence ssq. 7/66 Three letters picked without replacement from {m: 1, r: 5, a: 2, f: 1, h: 1, k: 5}. Give prob of sequence rmf. 1/546 What is prob of sequence gns when three letters picked without replacement from {n: 1, s: 1, j: 2, g: 3}? 1/70 Two letters picked without replacement from {l: 3, w: 3, a: 5, j: 1, i: 1, t: 2}. What is prob of sequence wl? 3/70 What is prob of sequence fi when two letters picked without replacement from kckiiiliifjijkijii? 1/34 Calculate prob of sequence yvfy when four letters picked without replacement from {f: 2, y: 2, v: 2,
{ "pile_set_name": "DM Mathematics" }
dred thousands digit of 2036453181? 4 What is the millions digit of 1768203091? 8 What is the hundred millions digit of 275721694? 2 What is the hundreds digit of 82085674? 6 What is the units digit of 1166685342? 2 What is the hundred millions digit of 368685498? 3 What is the thousands digit of 149299984? 9 What is the units digit of 896656164? 4 What is the tens digit of 25935598? 9 What is the hundred millions digit of 5116884682? 1 What is the hundreds digit of 245131630? 6 What is the tens digit of 2760293327? 2 What is the hundred thousands digit of 772307026? 3 What is the hundreds digit of 408981603? 6 What is the hundreds digit of 689858625? 6 What is the tens digit of 34525028? 2 What is the thousands digit of 186848334? 8 What is the tens digit of 373007643? 4 What is the hundred thousands digit of 23426599? 4 What is the hundred thousands digit of 2991919656? 9 What is the hundreds digit of 53222309? 3 What is the tens digit of 79026546? 4 What is the units digit of 18420229? 9 What is the thousands digit of 544065175? 5 What is the ten millions digit of 33663871? 3 What is the ten millions digit of 117468444? 1 What is the ten thousands digit of 601335455? 3 What is the tens digit of 53777071? 7 What is the units digit of 562815841? 1 What is the millions digit of 160808067? 0 What is the hundred thousands digit of 90743201? 7 What is the hundred millions digit of 779306843? 7 What is the units digit of 3843342? 2 What is the ten thousands digit of 1830735050? 3 What is the tens digit of 42108221? 2 What is the tens digit of 5313785895? 9 What is the thousands digit of 10161534? 1 What is the hundred millions digit of 1163341904? 1 What is the thousands digit of 1643624966? 4 What is the units digit of 4252505792? 2 What is the millions digit of 117908585? 7 What is the units digit of 48999616? 6 What is the millions digit of 14428245? 4 What is the units digit of 145425317? 7 What is the thousands digit of 133484735? 4 What is the ten millions digit of 3570899150? 7 What is the thousands digit of 54649094? 9 What is the tens digit of 83988795? 9 What is the hundred millions digit of 164651926? 1 What is the hundred thousands digit of 1667484904? 4 What is the ten millions digit of 33797354? 3 What is the hundred millions digit of 1225476949? 2 What is the hundred thousands digit of 290951690? 9 What is the ten millions digit of 425682187? 2 What is the hundred millions digit of 1991481489? 9 What is the millions digit of 84680675? 4 What is the millions digit of 133343379? 3 What is the ten millions digit of 3220298126? 2 What is the hundred millions digit of 2626871041? 6 What is the units digit of 20805697? 7 What is the thousands digit of 163965981? 5 What is the units digit of 3614018265? 5 What is the hundred thousands digit of 1021852985? 8 What is the ten thousands digit of 76741170? 4 What is the tens digit of 403750001? 0 What is the hundred millions digit of 2499955743? 4 What is the tens digit of 74327898? 9 What is the tens digit of 204840038? 3 What is the tens digit of 1685357005? 0 What is the hundreds digit of 4188926807? 8 What is the hundred thousands digit of 3793645488? 6 What is the ten millions digit of 2816184594? 1 What is the thousands digit of 132885023? 5 What is the ten millions digit of 317739926? 1 What is the billions digit of 3241144921? 3 What is the millions digit of 1389853781? 9 What is the hundreds digit of 17819482? 4 What is the hundred millions digit of 6742608839? 7 What is the ten millions digit of 28381576? 2 What is the thousands digit of 13531466? 1 What is the ten thousands digit of 453024752? 2 What is the hundred millions digit of 665534412? 6 What is the units digit of 30315009? 9 What is the hundred thousands digit of 3341815460? 8 What is the thousands digit of 1999534149? 4 What is the tens digit of 1495863556? 5 What is the hundred millions digit of 122893715? 1 What is the units digit of 92093434? 4 What is the ten thousands digit of 19961536? 6 What is the tens digit of 139299182? 8 What is the hundreds digit of 215139580? 5 What is the hundred millions digit of 1714050493? 7 What is the ten millions digit of 120983963? 2 What is the units digit of 126605923? 3 What is the hundred thousands digit of 106068246? 0 What is the hundreds digit of 216777998? 9 What is the hundred thousands digit of 22565156? 5 What is the thousands digit of 1560272126? 2 What is the units digit of 1648287359? 9 What is the ten thousands digit of 4489807296? 0 What is the hundreds digit of 1378372? 3 What is the units digit of 39750696? 6 What is the thousands digit of 39881174? 1 What is the millions digit of 419220128? 9 What is the units digit of 41263038? 8 What is the hundreds digit of 194572897? 8 What is the tens digit of 787809612? 1 What is the ten thousands digit of 421200730? 0 What is the millions digit of 47657282? 7 What is the hundred thousands digit of 9137158? 1 What is the millions digit of 899363060? 9 What is the thousands digit of 65141539? 1 What is the hundreds digit of 71064988? 9 What is the thousands digit of 25900484? 0 What is the billions digit of 2407966724? 2 What is the hundred millions digit of 2565103171? 5 What is the hundred thousands digit of 22848936? 8 What is the hundred thousands digit of 23879103? 8 What is the units digit of 2045786180? 0 What is the hundreds digit of 74412717? 7 What is the thousands digit of 280289466? 9 What is the thousands digit of 118798045? 8 What is the millions digit of 571999381? 1 What is the thousands digit of 104600112? 0 What is the hundreds digit of 2686012630? 6 What is the tens digit of 76774048? 4 What is the hundred thousands digit of 53229549? 2 What is the billions digit of 4008266915? 4 What is the ten thousands digit of 425820459? 2 What is the hundred millions digit of 826787046? 8 What is the hundreds digit of 430886968? 9 What is the ten millions digit of 935456022? 3 What is the millions digit of 813786515? 3 What is the ten millions digit of 46470464? 4 What is the ten millions digit of 140306940? 4 What is the units digit of 64334274? 4 What is the tens digit of 2187152552? 5 What is the units digit of 612957414? 4 What is the hundreds digit of 16127265? 2 What is the units digit of 664649665? 5 What is the hundreds digit of 740110054? 0 What is the hundred millions digit of 437199348? 4 What is the thousands digit of 10852372? 2 What is the thousands digit of 9223162? 3 What is the hundred thousands digit of 316558296? 5 What is the ten millions digit of 17297308? 1 What is the hundred millions digit of 102188270? 1 What is the ten thousands digit of 264497273? 9 What is the ten thousands digit of 635612320? 1 What is the ten thousands digit of 52223576? 2 What is the tens digit of 40266826? 2 What is the millions digit of 3368069688? 8 What is the ten thousands digit of 1088488788? 8 What is the units digit of 2116580820? 0 What is the hundred thousands digit of 1378999626? 9 What is the hundreds digit of 92115959? 9 What is the ten thousands digit of 227770874? 7 What is the hundred millions digit of 520502716? 5 What is the ten thousands digit of 3505684630? 8 What is the millions digit of 2990274? 2 What is the ten thousands digit of 1358112065? 1 What is the ten millions digit of 93649759? 9 What is the ten millions digit of 539138479? 3 What is the millions digit of 22755304? 2 What is the tens digit of 216411319? 1 What is the hundreds digit of 356890161? 1 What is the thousands digit of 8643579176? 9 What is the hundred thousands digit of 452157350? 1 What is the hundred millions digit of 204580961? 2 What is the millions digit of 425957724? 5 What is the ten thousands digit of 469087412? 8 What is the tens digit of 3136985998? 9 What is the units digit of 692015948? 8 What is the units digit of 323304325? 5 What is the thousands digit of 53509606? 9 What is the ten thousands digit of 3577749693? 4 What is the tens digit of 1124443473? 7 What is the hundred millions digit of 4642632244? 6 What is the ten millions digit of 29946292? 2 What is the tens digit of 646491745? 4 What is the millions digit of 76523398? 6 What is the thousands digit of 77870380? 0 What is the millions digit of 279495651? 9
{ "pile_set_name": "DM Mathematics" }
Determine u(v(x)). -192*x Let l(v) be the third derivative of -7*v**4/24 - 2*v**2 - 5. Let r(w) = -2 - 35*w**2 - 44*w**2 + 2 + 86*w**2. Give r(l(z)). 343*z**2 Let v(t) = 5*t. Let r(y) = -54906 + 54906 - 23*y. Calculate r(v(g)). -115*g Let d(b) be the second derivative of -b**3/6 + 33*b**2/2 - 1707*b. Let u(q) = -4*q. Calculate u(d(z)). 4*z - 132 Suppose z = -z + 3*z. Suppose -21*s + 5*s + 32 = z. Let x(y) = -978*y + 978*y + s*y**2. Let q(a) = -2*a**2. Calculate x(q(w)). 8*w**4 Let m = 50 - -76. Let w(h) = m - 11*h + 126 - 252. Let o(v) = -6*v**2. Determine w(o(g)). 66*g**2 Let c(z) = 1884*z**2 - 4*z - 1. Suppose -3*f + 15 = -5*s - 8*f, -2*s = 3*f + 8. Let y be c(s). Let n(l) = -1887 + l + y. Let r(j) = -13*j. Give n(r(o)). -13*o Let t(v) = v - 32. Suppose -2*p + 82 = 3*n, 5*n = 5*p - 0*n - 180. Let r(u) = -u**2 + 75 - p - 37 - 2*u**2. Give r(t(c)). -3*c**2 + 192*c - 3072 Let d(r) = -35290072*r**2. Let v(n) = n**2. Give v(d(j)). 1245389181765184*j**4 Let k(i) be the third derivative of -i**5/15 - 2*i**2 + 2*i - 17. Let g(j) be the first derivative of 71*j**2/2 - 4. What is g(k(x))? -284*x**2 Let s(t) be the first derivative of -2*t**3 - 3976. Let w(x) = 12*x + 2 - 2. Calculate w(s(i)). -72*i**2 Let p(z) = 4*z. Let l(s) be the first derivative of 20*s**2 + 46 - 189 - 17*s**2 - 12*s**2. What is p(l(f))? -72*f Let q(o) = 566816971*o. Let z(h) = 2*h**2. Determine q(z(l)). 1133633942*l**2 Let g(r) = -24236296*r. Let f(u) = 10*u**2. Give g(f(c)). -242362960*c**2 Let k(t) = 19*t. Let m(g) = -17226*g + 17226*g + 43*g**2. Give k(m(f)). 817*f**2 Let k(p) = p. Let g(i) = 45147*i + 138. What is g(k(r))? 45147*r + 138 Let k(g) = 450*g**2 - 12*g - 21. Let h(m) = -43*m**2 + m + 2. Let d(p) = 21*h(p) + 2*k(p). Let t(s) = -20*s. What is d(t(r))? -1200*r**2 + 60*r Let x(v) = v**2. Let t(j) be the first derivative of 5*j - 9*j**2 - 5*j + 4*j - 5*j - 9. Give x(t(g)). 324*g**2 + 36*g + 1 Let p(c) = -40*c + 1825. Let h(l) = -l + 38. Calculate p(h(u)). 40*u + 305 Suppose -53*i + 34333 = -34*i. Let a(k) = i*k - 901*k - 902*k. Let t(d) = -d + 0*d + 10*d. Calculate a(t(b)). 36*b Let h(q) = -23*q**2 + 2*q. Let m(n) = 97*n - 119*n + 15*n + 17*n. Determine h(m(p)). -2300*p**2 + 20*p Let r(k) = -5*k**2. Let o(b) = 453*b - 72*b**2 - 600*b**2 - 453*b. Give r(o(u)). -2257920*u**4 Let d(w) = -30*w**2 - 8*w + 12*w**2 + 3*w**2 + 9*w**2 + 13*w**2 + w**2. Let h(g) = -2*g + 5. Let z(m) = -1. Let c(b) = -h(b) - 5*z(b). Give c(d(o)). 16*o**2 - 16*o Let u(w) be the second derivative of w**4/6 - 276*w. Let q(r) = -186*r + 2. Calculate u(q(f)). 69192*f**2 - 1488*f + 8 Let v(s) be the second derivative of -11*s**4/4 + 224*s. Let t(c) be the third derivative of c**4/12 + 8*c**2. Give v(t(q)). -132*q**2 Let i(c) = -4078*c. Let y(p) = 43*p**2 + 10. What is i(y(k))? -175354*k**2 - 40780 Let h(c) be the second derivative of -c**3/3 + 6916*c. Let s(d) = 1761*d**2. Give h(s(a)). -3522*a**2 Let i(d) = -d**2. Let k(y) = -32*y - 2. Let u(p) = -32*p - 3. Let t be 30/(-45) + (-26)/(-3). Suppose -t = 12*z - 8*z. Let j(r) = z*u(r) + 3*k(r). Give i(j(v)). -1024*v**2 Let t(m) be the second derivative of -m**4/6 + m. Let o(v) = -5*v + 1673. Let n(h) = 15*h - 4599. Let z(d) = -4*n(d) - 11*o(d). Determine z(t(b)). 10*b**2 - 7 Let k(a) = -171*a**2. Let w(s) be the third derivative of 1/12*s**4 + 66*s**2 + 0*s + 0 + 0*s**3. What is k(w(i))? -684*i**2 Suppose -19*h = -3*p - 20*h + 360, 4*p - 480 = -3*h. Let w(k) = -57*k**2 + p*k**2 - 60*k**2. Let z(t) = 62*t + 2. What is z(w(u))? 186*u**2 + 2 Let t(a) = -21*a**2 - 20*a**2 - 23*a**2 + 80*a**2 - 18*a**2. Let q(w) = 133*w**2 + 3. Determine t(q(i)). -35378*i**4 - 1596*i**2 - 18 Let r(h) = -65170*h. Let w(z) = -13*z**2. Calculate w(r(l)). -55212675700*l**2 Let i(l) = 2*l - 163. Let k(w) = -w + 1049. Give i(k(b)). -2*b + 1935 Let s(p) = -5*p. Let z(j) = -118*j + 6019. Give s(z(c)). 590*c - 30095 Let t(f) be the first derivative of 257*f**3/3 + 2*f + 1518. Let c(o) = -2*o**2. Calculate c(t(z)). -132098*z**4 - 2056*z**2 - 8 Let m(f) = f**2 - 3*f + 153. Let i(k) = -k**2 + k - 51. Let j(t) = -3*i(t) - m(t). Let w(z) = -5118*z. Give j(w(h)). 52387848*h**2 Let a(u) = u. Let s = -83 - -264. Let k(w) = -s*w - 235*w + 239*w. Calculate a(k(d)). -177*d Let p(d) be the first derivative of 15*d**2/2 + 18. Let t(m) = -2*m + 4. What is p(t(j))? -30*j + 60 Let d(r) be the third derivative of 0 + 0*r**3 + 0*r + 183*r**2 + 1/8*r**4. Let i(a) = -2*a - 5. Give i(d(f)). -6*f - 5 Let v(z) = 13*z**2. Let r = 515 - 515. Let u(l) = r*l - 56*l**2 + 2*l - 2*l + 37*l**2. Calculate v(u(i)). 4693*i**4 Let f = -6 - -10. Let o = 76 + -70. Let z(m) = -3*m - 9*m + o*m + f*m. Let r(p) = -5*p**2. Determine r(z(k)). -20*k**2 Suppose -4*c = -3*j - 26 - 4, 2*j + 32 = 4*c. Let g(u) = -2*u - c*u + 10*u. Let s(l) = -8*l**2. What is s(g(p))? -8*p**2 Let t(h) = 125 + 4*h + 131 - 2*h - 244. Let f(j) = -35*j. Calculate f(t(y)). -70*y - 420 Suppose 5*i = 5, 0 = r - 15*i + 14*i - 11. Let u(c) = 16*c**2 + 3*c**2 - r*c**2. Let m(n) = -4*n**2. Calculate u(m(b)). 112*b**4 Let i(o) = 2*o. Let q(w) be the second derivative of -5*w**4/12 - 56*w**2 + 2*w - 551. Calculate q(i(m)). -20*m**2 - 112 Let t be 9 - 60/7 - (-298)/7. Let k(g) = -108 - g + t + 65. Let d(s) = 21*s**2. What is k(d(u))? -21*u**2 Let z(r) = -31*r + 11*r + 10*r + 9*r - r. Let h(a) = 462*a**2 - a. Give h(z(k)). 1848*k**2 + 2*k Let w(k) = -k. Let r(v) = 183158*v + 85. Determine r(w(y)). -183158*y + 85 Let o(p) be the third derivative of -p**4/12 + p**2. Let j be (8/6)/((-28)/(-42)). Let t(i) = 223 - 223 + i**j. Calculate t(o(m)). 4*m**2 Let l(n) = 382*n**2 - 2055*n - 1. Let z(k) = -k**2. Give l(z(u)). 382*u**4 + 2055*u**2 - 1 Let d = 6 + 36. Let n(s) = d*s**2 - 186*s**2 + 24*s + 2*s + s. Let f(o) = -11*o**2 + 2*o. Let u(c) = 27*f(c) - 2*n(c). Let h(x) = 4*x. Calculate u(h(v)). -144*v**2 Let l(s) = 17*s**2 - 346*s. Let u(m) = m + 75. Let r(a) = 3. Let w(z) = 50*r(z) - 2*u(z). What is l(w(p))? 68*p**2 + 692*p Let t(n) = n**2. Let o(c) = -3*c**2 - 4720*c + 223. Let v(l) = 4*l**2 + 4721*l - 279. Let b(s) = -5*o(s) - 4*v(s). What is b(t(q))? -q**4 + 4716*q**2 + 1 Let u(o) = -3*o + 5*o - o. Let a(l) be the second derivative of l**4/12 + 11*l**2 - l - 14. Let y(h) = -2. Let p(j) = 2*a(j) + 22*y(j). Give p(u(r)). 2*r**2 Let i be (-5 - -17) + (1 - 13). Let u(x) be the second derivative of i*x**3 - 1/12*x**4 + 0*x**2 - 2*x + 0. Let n(f) = 33*f. What is u(n(q))? -1089*q**2 Let x(o) = 2*o + 106. Let v(j) = -4*j + 82. Let c be v(14). Let l(r) = -10*r - 7*r + c*r + r - 13*r. Give l(x(w)). -6*w - 318 Let i(k) = k**2. Let r(t) = t**2 + 3*t - 18. Let o be r(-6). Let w(p) = o*p + 1 - p - 5*p - 1. Calculate i(w(s)). 36*s**2 Suppose 0*v = -3*v. Let z(l) = 7*l - 13*l + 5*l + v*l. Let w(o) = 12*o**2 - 20*o - 50. Let a(j) = j**2 - 2*j - 5. Let i(q) = 10*a(q) - w(q). Calculate z(i(d)). 2*d**2 Let q(h) be the first derivative of 5*h**3/3 + 1. Let b(p) be the second derivative of 5*p**4/3 + 2496*p. Give b(q(f)). 500*f**4 Let o(n) = 11*n**2. Let h = 46 - 55. Let y be -1 - 8/(24/h). Let j(b) = -44 - y*b + 44. Determine o(j(v)). 44*v**2 Let b(h) = -913*h - 2 + 1928*h - 1010*h + 2. Let m(p) = -1110*p. Calculate b(m(l)). -5550*l Let i(n) = 4*n**2 - 3*n. Let k(q) be the first derivative of 0*q - 4/3*q**3 + 0*q**2 + 88. What is i(k(v))? 64*v**4 + 12*v**2 Suppose 71*b - 4 + 4 = 19*b. Let j(u) be the second derivative of b + 1/6*u**3 - 16*u + 0*u**2. Let o(a) = -16*a. Calculate o(j(r)). -16*r Let f(r) = -r. Let p(o) = -9180*o - 153. Let v(x) = -3*x. Let a(z) = -289*z - 5. Let u(n) = -a(n) - 4*v(n). Let s(y) = 5*p(y) + 153*u(y). Calculate f(s(h)). -153*h Let o(i) = 11*i - 5. Let x(v) = -4*v + 2. Let z(l) = 2*o(l) + 5*x(l). Let r(k) = -2*k + 63*k + 61*k - 9*k. Determine z(r(n)). 226*n Let t(m) be the first derivative of 0*m - 7/2*m**2 + 237. Let d(b) be the third derivative of b**4/24 + b**2. Determine d(t(x)). -7*x Let g(c) = -469*c + 945*c + 3*c**2 - 476*c. Let a(z) = z - 26*z + 18*z**2 - 19*z**2 + 4*z. Give g(a(w)). 3*w**4 + 126*w**3 + 1323*w**2 Let y(l) = l. Let g(r) = 44 - 86 - 2013*r**2 + 7 + 35. Determine g(y(h)). -2013*h**2 Let b(j) = 2*j. Let h(s) = 3*s - 2788. Give b(h(i)). 6*i - 5576 Let f(q) = 32*q. Let w(o) = -2*o**3 - 4*o**2 - 2*o + 3. Let x be w(-2). Let i(s) = -2*s + 0*
{ "pile_set_name": "DM Mathematics" }
lve l + 4 = -0*y - 3*y, 4*l = -p*y - 16 for l. -4 Let q be 2*(1 - 0) - -32. Let f = q + -31. Solve -4*w = -f*k - 9, 2*k + 0*w - 5*w = -13 for k. 1 Let o be 4 + (-52)/16 + 2525/100. Solve 0 = -5*x - i + o, 7 = 2*x - 3*i for x. 5 Let n be 1*(-66)/(-2 - 4). Solve -c + 2*d + 9 = 3, d = 4*c + n for c. -4 Let i = 12 - 8. Suppose -11*q = -10*q - 39. Let p = 42 - q. Solve -i*v + 2*s + 4 = 0, -p*v = -4*v - 4*s - 8 for v. 0 Let z = -15 + 27. Let w(p) be the second derivative of -p**5/20 + p**4 - p**3/6 + 6*p**2 + 129*p. Let f be w(z). Solve f = o + 3*d - 11, -5*o + 25 = 5*d for o. 2 Let r = -13 + 15. Suppose -r*s - 4*h = -s - 3, 2*h - 9 = -3*s. Suppose 0 = -s*o - 2*o + 55. Solve -3*q + o = -4*z, 0 = -q + 3*z - 4*z - 1 for q. 1 Let t be 3/1 - (9 - 10). Let j = 2 - 0. Solve y + 2 + j = 4*f, -24 = -4*f - t*y for f. 2 Suppose 268 = 4*f - 4*o, 4*f + o + 4*o = 223. Suppose -f = -3*w + 5*k, w + 4*k = -0*k - 2. Let b = -9 + w. Solve -2*x + 3*z - 2 + 4 = 0, -x + b*z = -15 for x. -5 Suppose 7 = 3*r + 5*k, 90*k - 89*k - 15 = -4*r. Suppose 0 = -0*a - a. Solve 8 = r*l, h - 2*h + 5*l - 10 = a for h. 0 Let m(u) = u**2 - 2*u + 9. Let o be m(5). Suppose o = 4*f - 20. Solve d = 2*j + f, -4*d + 19 = -4*j - 13 for j. -3 Let r be 8/28*49 + -3. Solve -x - r = 3*t, 0 = -4*x - 6*t + t - 9 for x. 4 Let m(y) = y + 4. Let k be m(1). Let q be (-1 + 1)/(k/(3 + 2)). Solve q = f - 5*u - 15, 0 = -5*f - 5*u - 9 - 6 for f. 0 Let u = 34 + -33. Suppose k = a + 2, -2*k + u = -4*a - 1. Solve 4*h - 4 = -4*r, 2*h + k = r + 5 for h. 1 Let z(f) = 11*f**2 - 2*f + 1. Let y be z(1). Let m be -2*(-188)/72 + (-2)/9. Solve 8 = 3*w - 2*b, 0 = m*w - b - 8 - y for w. 4 Let d(a) = a**2 - 5*a + 6. Let y be d(4). Suppose y*j = 11 - 29. Let z be 42/j*6/(-4). Solve 5*i - 26 = -3*b + z*b, 3*i = 3*b + 18 for i. 2 Let u be 11/((-132)/(-40))*3. Let t be 8 + 2/(4/(-6)). Suppose t = 3*a - 4. Solve -5*c - a*i + 4 = 0, i - u = 6*i for c. 2 Suppose p = -2*n - 0*p - 1, -5 = 5*n + 3*p. Solve -n*o - 2*c = -6 - 0, 3*c = -5*o + 19 for o. 5 Suppose -9*s + 14*s = 0. Suppose 4*y - t - 34 = -6*t, 4*y - 5*t - 54 = s. Let f = y - 3. Solve 0 = -5*l + 33 - f, 0 = 2*q - 2*l for q. 5 Suppose -10*y - 2 = -22. Solve -3*b - 15 = -5*f, -y*f - 3*b + 2*b = 5 for f. 0 Let x = 144 - 124. Solve -v - 2*g = -8, -x + 6 = -v - 4*g for v. 2 Let m(c) = -4*c - 53. Let p be -14*(-4)/(-1 + -3). Let u be m(p). Solve 5*o - 2*o - u*r + 3 = 0, -3*o = 5*r - 29 for o. 3 Let u be (0 - (-2)/7)*(-35 + 49). Solve z + 0 - 5 = 2*f, 0 = -u*z - 5*f - 19 for z. -1 Let w be (-12)/(-3) + 5/(20/(-8)). Solve 0 = 4*z, 2*v - w*z + z - 10 = 0 for v. 5 Let v be 13/((-39)/(-30)) - 5. Let k(z) = -z + 7. Let s be k(v). Solve 0 = 5*m - 4*y - 10, -s*y - 10 = -5*m - y for m. 2 Suppose -5*y - 5*r + 80 = 0, 2 = y + 2*r - 11. Suppose -14*p - 20 = -y*p. Solve -2*h = -p*l + 4, -h - 4*l = -0*h + 2 for h. -2 Let h(n) = 4*n**2 - 20*n + 21. Let w be h(4). Solve -4*a = -w*a + 2*r - 10, 25 = 5*r for a. 0 Suppose -16 = -32*s + 24*s. Solve -3*a = s*k + 3, k - 3*a = -5*a - 3 for k. 3 Suppose 3*a = -25 + 31. Solve -2*y = -2*t + 6, a*y = -2*y - 12 for t. 0 Let b = -387 - -389. Solve 5*r - 2*o = 30, b*o = -3*o - 25 for r. 4 Let c = 35 + -43. Let r(f) = f**2 + 9*f + 13. Let v be r(c). Solve -22 = -v*s + 3*b, 0*s - 24 = -4*s + 4*b for s. 2 Let n = -12 - -7. Let j = 7 + n. Let f be 0*((-1)/(-3) - 7/12). Solve -l = -j*p - f - 1, l = -4*p + 7 for p. 1 Suppose 2*i + 5*v = -29, 3*v = 2*i - 2*v - 21. Suppose 4*p - 17 = -5. Let f be (-72)/i*2/p. Solve 16 = -3*j + 2*s, 4*s + f = -4*j + 8*s for j. -4 Let z = 247 - 229. Solve -2*h + 5 = 3*s + z, 5*s = 5*h - 5 for s. -3 Let g(v) = -v**3 + 13*v**2 - 23*v + 23. Let k be g(11). Suppose 9 = k*n - 11*n. Solve 0 = y + t - 3, -5*y + 5*t + 6 = -n for y. 3 Let r be -166*3/12*-2 - 1. Suppose -r*b = -81*b. Solve -4*i + 2*l - 4 = b, 2*i + 4 = 6*i + 2*l for i. 0 Let h = -93 + 176. Let x = 85 - h. Solve 0 = x*c - 0*c + j + 9, 5*c = 5*j - 15 for c. -4 Let t be 4 + -1 + 9/((-27)/(-3)). Solve 2*x + 4 = t*n + 2, 4*x = -n + 23 for x. 5 Let t be (366/(-4 + 1))/(-2). Let f = t + -58. Solve -5*v + 0*v = 2*u - 20, 0 = -v + f*u + 4 for v. 4 Let u(j) = 3*j - 5*j + j**2 - 14 + 0 + 2. Let v be u(5). Solve -2*d - 4 + 5 = -3*p, v*p - 4 = d for p. 3 Let u = -2030 + 2032. Solve 5*m - m - 10 = -3*w, u = w for m. 1 Let r = -1609 + 1611. Solve 0 = 4*k - 3*k - 2*o - r, 3*o + 3 = 0 for k. 0 Let r(g) = 8*g + 186. Let m be r(-23). Let n = 20 - 7. Solve m*p = -j - n, j + p = -0*p - 8 for j. -3 Let j(b) = 2*b**2 - 32*b - 70. Let r be j(18). Solve r*q + 21 = 3*t, -t + 0*q = q - 2 for t. 5 Let i(r) = 8*r**2 + r. Let t be i(-1). Let b(g) = -g**3 + 6*g**2 + 5*g + 18. Let q be b(t). Solve -3*m = v - 10, -3*v = 2*m - q*v for m. 2 Let d be 10/75 + (-84)/(-45). Suppose 2*z + d = 0, -2*h - 1 + 9 = -2*z. Solve m + h = -l, 3*m + 4*l = -l - 9 for m. -3 Let a be 2/(-11) + (-874)/(-209). Solve 0*q + 5*q - 20 = 5*w, -3*q + 12 = -a*w for q. 4 Let u(x) = -x**2 + 10*x - 16. Let l be u(7). Let g(o) = -o - 6. Let q be g(-6). Solve l*w - 4*j = q, 3*j = -5*w + j for w. 0 Let k(v) = v**3 + 3*v**2 - 59*v - 16. Let l be k(-9). Suppose -5*q = 4*z - 35, 4*q = -q + 15. Solve -5*i - 5*w = 20, -3*w - l + 9 = -z*i for i. 1 Suppose r = 2*z - 6, -2*z + 12*r - 17*r - 6 = 0. Solve 4*n = -5*b + 11 + 1, 5*b - z*n = -6 for b. 0 Suppose -10*m + 72 = -6*m. Suppose -25*o = -m*o. Solve 0 = -q - 4*b + 5, -3*q - 15 = -o*q - 3*b for q. -3 Let x be 1 + 2 + 1 + 0. Let i = x + -2. Suppose -24 = -262*n + 126*n + 130*n. Solve -n*t = i*z, -t + 0*t - 5 = -2*z for t. -1 Let i be 36/15 - 6/15. Solve -g - 5 = -3*n, -4*g = -i*n + 4*n - 22 for g. 4 Let c = 6 - 1. Suppose 2*w - 12 + 36 = -5*v, 5*v = -3*w - 21. Let s(o) = 5*o**2 + 29*o + 4. Let h be s(v). Solve -4*d = m + 6 + 8, c*m + h = -5*d for d. -4 Let m = -312 + 353. Solve 2*c - c = -v - 1, -4*c + m = -5*v for c. 4 Suppose -2*s + 4 + 0 = 0, 3*s + 2 = 4*z. Suppose 2*a = 3*c - c - 6, 4*c = -2*a + 36. Suppose -z + c = v. Solve -3*l + 5*f + 10 = 2*l, -4*l - v*f = 19 for l. -1 Let t = 83 - 71. Let c = t - -8. Solve 5*m = -5*k - c, -25 + 6 = k + 4*m for k. 1 Let c = -3 - -5. Let s be c*(-3 - 3/(-6)). Let i be 1*s*(-2 - -1). Solve -4*u = -a - 11, i*a - 3 = 2*a + 3*u for a. 5 Suppose 2*p - 62 = -4*h, -152*h + 3*p + 105 = -147*h. Solve v - t - 5 = 0, 4*t = 5*v - h - 2 for v. 0 Let s = -64 - -46. Let f = 21 + s. Solve 0 = 3*a + 3*r + f, 3 + 4 = -3*a - 4*r for a. 3 Let j = -24 - -14. Let u = j - -13. Solve 0 = -5*r - u*y + 32, r = -r + 2*y for r. 4 Let h(i) = 0 - 10 + i**2 - 1 - 10 + 2*i. Let q be h(-7). Solve 0 = p - 6*p - 25, 2*p = x - q for x. 4 Let y(h) = 4*h + 39. Let u be y(-8). Suppose -4*x + u = f, -x + 3*x = -3*f - 9. Solve 4*r + 2*d = -d + x, 0 = -2*d + 10 for r. -3 Let f be ((-12)/20 + 1)*(7 - 2). Suppose 169 = f*l + 159. Let q(b) = 2*b**2 - 6*b. Let n be q(5). Solve 3*j = 2*j - 3*v - 4, 5*j = l*v - n for j. -4 Suppose 448*q + 30 = 450*q. Solve -5*l = q, -2*i - 12*l + 14*l = -12 for i. 3 Suppose -32*y + 27 = -29*y - 4*h, -3*y + 2*h + 21 = 0. Solve -5*i + 22*k = 24*k - 23, -4*i - y*k + 15 = 0 for i. 5 Let d(s) be the second derivative of s**5/20 - 19*s**4/12 - 7*s**3/2 + 23*s**2/2 - 4*s. Let q be d(20). Solve 5*h - 5*l = 0, -3*h + 2*l - 7 = -q for h. -4 Suppose 8 = 2*c - 0*c. Suppose -4*y - 5*f = -127, -95 = 2*y - 5*y - 4*f. Suppose -y = -4*r - 13. Solve -r*j + c*a = 26, a - 4*a = -12 for j. -2 Let m(l) = 3*l - 2. Let j be m(-10). Let b be (486/72)/((-6)/j). Let h be ((-22)/6)/((-12)/b). Solve -v + 4*v - h = 2*r, -2*r + 4*v - 16 = 0 for r. 2 Let m be 18 - (-3 + 2)*-4. Suppose -m = -k - 0. Suppose 5*w = -5*b + 21 + k, -w + 11 = 3*b. Solve -8 = -2*z + 4*y, -4*z + y + 6 = -b*y for z. 0 Let m(q) = 6*q - 8. Let k(g) = -5*g + 7. Let y(t) = 5*k(t) + 4*m(t). Let s be y(-7). Let d = 4 + s. Solve 4*p + 0*p = -4*c + 4, -4*c + 5*p = d for c. -1 Let z = -37 - -56. Let k = 13 - z. Let h(v) = v**2 + 5*v - 1. Let r be h(k). Solve -l - 16 = 3*w, 5*l + 27 = -r*w - 3 for l. -1 Suppose -29*a + 58*a - 145 = 0. Solve w + a*i + 1 = -3, w + 4*i = -3 for w. 1 Let a be 160/(-120)*(-3)/2. Solve -v + 2*v - 6 = -a*u, 5*v + 2*u - 22 = 0 for v. 4 Suppose 0 = -2*c + 2*f - 4, 0 = -c + 4*f - 2. Let w be (1 - -2)*(c + 3). Solve 2*s - 3 = -w*k - s, 4*k - 4 = -s for k. 1 Let x be 12/(-30) + (-34)/(-10). Suppose -12*y = -11*y - x.
{ "pile_set_name": "DM Mathematics" }
nominator of -65/336 and -14/27. 3024 What is the smallest common multiple of 292 and 14? 2044 What is the common denominator of 13/2 and 45/572? 572 Find the common denominator of 1/71 and -103/6. 426 Calculate the least common multiple of 12 and 628. 1884 Calculate the smallest common multiple of 65 and 435. 5655 What is the smallest common multiple of 11 and 1997? 21967 Find the common denominator of -34/93 and 33/2356. 7068 What is the least common multiple of 1914 and 1595? 9570 Find the common denominator of -71/45 and 71/3. 45 Calculate the smallest common multiple of 15 and 288. 1440 What is the common denominator of -77/120 and 27/5? 120 Calculate the common denominator of -31/164 and -133/36. 1476 Calculate the least common multiple of 1694 and 242. 1694 What is the common denominator of -23/18 and -79/1726? 15534 What is the least common multiple of 182 and 130? 910 Find the common denominator of 28/585 and -97/20. 2340 Calculate the common denominator of 3/4 and 91/68. 68 What is the smallest common multiple of 90 and 405? 810 What is the common denominator of 39/9164 and 62/711? 82476 Find the common denominator of -103/2130 and 149/426. 2130 What is the smallest common multiple of 6 and 96? 96 Find the common denominator of -149/78 and -1/2. 78 Calculate the common denominator of -68/183 and 58/507. 30927 What is the common denominator of -79/166 and 97/10? 830 Calculate the smallest common multiple of 12 and 48. 48 What is the lowest common multiple of 1092 and 4? 1092 What is the smallest common multiple of 462 and 847? 5082 Find the common denominator of -15/1358 and 5/10864. 10864 What is the least common multiple of 22 and 680? 7480 Calculate the lowest common multiple of 46 and 1210. 27830 Find the common denominator of 11/20 and 13/966. 9660 Find the common denominator of -23/1456 and 53/364. 1456 What is the common denominator of -41/76 and 10/361? 1444 Calculate the least common multiple of 1628 and 1110. 24420 Calculate the lowest common multiple of 40 and 456. 2280 What is the smallest common multiple of 343 and 32? 10976 What is the smallest common multiple of 2044 and 320? 163520 Calculate the smallest common multiple of 684 and 285. 3420 Find the common denominator of 67/42 and 15/413. 2478 Calculate the least common multiple of 80 and 40. 80 Calculate the common denominator of -127/60 and -77/12. 60 Find the common denominator of -97/36 and 19/27. 108 What is the smallest common multiple of 235 and 390? 18330 What is the common denominator of -4/27 and -106/3885? 34965 Find the common denominator of -51/44 and 1/28. 308 What is the lowest common multiple of 24 and 300? 600 Calculate the least common multiple of 2902 and 20. 29020 What is the least common multiple of 118 and 5? 590 Calculate the common denominator of -73/54 and -151/60. 540 What is the common denominator of -109/40 and 71/28? 280 Calculate the lowest common multiple of 2176 and 704. 23936 Calculate the common denominator of -35/2 and -113/238. 238 What is the smallest common multiple of 6254 and 10? 31270 What is the common denominator of -3/52 and -35/856? 11128 Calculate the smallest common multiple of 15 and 825. 825 Calculate the common denominator of -93/2 and 113/2000. 2000 Calculate the lowest common multiple of 2 and 376. 376 Calculate the common denominator of 27/4 and -19/112. 112 Calculate the smallest common multiple of 3 and 15843. 15843 Find the common denominator of -71/132 and 121/108. 1188 Find the common denominator of 37/8 and 27/71. 568 Calculate the common denominator of 89/54 and -31/18. 54 Calculate the common denominator of 31/2450 and -193/210. 7350 Calculate the lowest common multiple of 638 and 110. 3190 What is the common denominator of -47/165 and 13/144? 7920 What is the least common multiple of 4508 and 184? 9016 Calculate the least common multiple of 69 and 792. 18216 Calculate the common denominator of -95/612 and 59/408. 1224 What is the common denominator of -73/90 and -107/288? 1440 Find the common denominator of -2/219 and 35/292. 876 What is the least common multiple of 4067 and 5229? 36603 Find the common denominator of -57/68228 and 19/10. 341140 What is the common denominator of 48/35 and 151/480? 3360 What is the common denominator of 121/516 and -27/3010? 18060 What is the lowest common multiple of 870 and 12? 1740 Calculate the smallest common multiple of 5432 and 2. 5432 Calculate the least common multiple of 28 and 616. 616 What is the least common multiple of 24 and 32? 96 What is the common denominator of 61/1120 and 61/224? 1120 Calculate the lowest common multiple of 156 and 4. 156 Find the common denominator of 115/132 and 119/20. 660 Find the common denominator of -133/48 and 55/6. 48 Calculate the smallest common multiple of 1860 and 3720. 3720 Find the common denominator of -63/752 and 47/44. 8272 Find the common denominator of 95/5696 and -61/712. 5696 What is the lowest common multiple of 14 and 4948? 34636 What is the common denominator of -77/752 and -43/9? 6768 Calculate the lowest common multiple of 20 and 20276. 101380 Calculate the smallest common multiple of 15 and 327. 1635 Calculate the lowest common multiple of 112 and 22. 1232 Calculate the common denominator of 43/1776 and -137/96. 3552 Calculate the smallest common multiple of 36 and 12. 36 What is the lowest common multiple of 36 and 441? 1764 Find the common denominator of -23/304 and 77/1292. 5168 What is the lowest common multiple of 16 and 8? 16 Calculate the smallest common multiple of 216 and 2. 216 What is the common denominator of 71/30 and -33/2? 30 Find the common denominator of 33/80 and -49/20. 80 What is the common denominator of 76/759 and 13/198? 4554 What is the smallest common multiple of 18 and 8898? 26694 What is the least common multiple of 8 and 46? 184 Calculate the common denominator of 113/42 and -73/726. 5082 What is the common denominator of 89/1768 and -83/1326? 5304 Calculate the smallest common multiple of 56 and 64. 448 Calculate the smallest common multiple of 36 and 36. 36 Calculate the lowest common multiple of 37 and 11. 407 Calculate the common denominator of 40/11 and 70/9. 99 What is the common denominator of -29/1336 and 101/24? 4008 Find the common denominator of -47/22 and 5/15294. 168234 What is the lowest common multiple of 636 and 72? 3816 Calculate the least common multiple of 175 and 1. 175 Find the common denominator of 9/13 and -8/5. 65 Calculate the common denominator of -93/2 and 91/272. 272 Calculate the smallest common multiple of 12 and 614. 3684 What is the common denominator of -55/8 and -75/142? 568 What is the lowest common multiple of 66 and 27? 594 What is the least common multiple of 48 and 192? 192 Find the common denominator of -47/7956 and 59/30. 39780 Calculate the lowest common multiple of 1309 and 119. 1309 Find the common denominator of 47/4 and 101/92. 92 What is the common denominator of 9/10 and -43/4423? 44230 Calculate the common denominator of 139/396 and -121/468. 5148 Calculate the least common multiple of 77 and 7. 77 Calculate the least common multiple of 12 and 1110. 2220 Calculate the smallest common multiple of 3 and 37. 111 Find the common denominator of -17/32 and -91/24. 96 Find the common denominator of 91/1012 and 119/60. 15180 Calculate the least common multiple of 73 and 7. 511 What is the common denominator of 163/42 and 119/192? 1344 Calculate the common denominator of -161/270 and 11/39. 3510 Calculate the least common multiple of 1086 and 126. 22806 Calculate the common denominator of 49/1558 and -69/2. 1558 What is the lowest common multiple of 22 and 660? 660 What is the least common multiple of 18 and 228? 684 Calculate the least common multiple of 16 and 112. 112 What is the least common multiple of 64 and 112? 448 What is the lowest common multiple of 740 and 814? 8140 Calculate the smallest common multiple of 88 and 136. 1496 Calculate the least common multiple of 21 and 1470. 1470 Calculate the lowest common multiple of 2808 and 6. 2808 What is the common denominator of -67/176 and -113/5088? 55968 What is the common denominator of -43/51 and -95/468? 7956 Calculate the lowest common multiple of 5 and 9534. 47670 Calculate the lea
{ "pile_set_name": "DM Mathematics" }
nearest to 2/5? (a) p (b) z (c) -1/4 c Let p = 0.17 + 7.83. Let k = -8 + p. Let v = 60.7 + -61.7. Which is the closest to k? (a) v (b) 4/5 (c) 5 b Let k = 122 + -101. Suppose 2 = k*i + 2. Which is the nearest to 0.07? (a) -2/19 (b) i (c) -1 b Let v = 0.8 + -5.8. Let y = -105.162 - 0.438. Let r = y + 105.4. Which is the nearest to 0? (a) r (b) v (c) -1/3 a Let s(u) = u**3 + 54*u**2 + 145*u + 300. Let w be s(-51). Which is the nearest to w? (a) 0.2 (b) -0.4 (c) -2/7 a Let l = 196 - 196.0416. Let g = 0.0016 + l. Suppose -3 = 3*s - 4*s. What is the nearest to 1/3 in -4, g, s? g Let p = -118.47 - -117.47. Let x = -12 - -24. Let w be -2 - (0 + (-21)/x). Which is the closest to -3.6? (a) w (b) -4 (c) p b Let z be 6 - (18/(-6) - -3)/1. Suppose 78 = -z*u + 54. Let a = -0.8 - 0.2. What is the nearest to 0 in u, a, -3? a Let k = -80 + 80.14. Let t = -0.86 - k. Which is the nearest to -0.2? (a) t (b) 0.04 (c) 5 b Suppose 0*i = -h - i + 11, -5*h - 3*i + 49 = 0. Let m = -0.4146 - -3.4146. What is the closest to -2/7 in h, m, 4? m Let o = 1793.4 - 1791.4. What is the nearest to o in 35, 0, 22, -0.1? 0 Let z = 0.1 + 0. Let d = 6338.6 + -6337.6. Which is the closest to z? (a) -1/6 (b) d (c) -1 a Let g = -5 - -46. Let x = 311 + -352.1. Let d = x + g. Which is the nearest to d? (a) -1 (b) -4/3 (c) 0 c Let i = -4/49 + 18/49. Let j = -67.802 + 46.802. Which is the closest to i? (a) j (b) 0.3 (c) 5/2 b Let a be 216/378 + 1/(-14). What is the closest to -5/7 in -3, -14, a? a Let y be (-5)/(-25)*5*-13. Let t(o) = -o - 14. Let s be t(y). Let u = -15 - -7. Which is the closest to u? (a) -1/3 (b) -2 (c) s b Let g = 4931 - 29585/6. Which is the nearest to -1/5? (a) -3 (b) g (c) -2/13 (d) 0.02 c Let w = 2301 + -2294. What is the nearest to -1 in -2/11, -36/5, w? -2/11 Let x = 1.1693 + -0.7693. What is the nearest to -4/25 in x, -0.5, 3? -0.5 Let p = -0.1537 - -18.4537. What is the nearest to -1 in p, -0.5, 1/6, -0.1? -0.5 Let n = 10.15 + -9. Let f = -16.93 - -17.68. Let q = f - n. Which is the nearest to 4/5? (a) 0.4 (b) -6/5 (c) q a Let j = 588 - 587. Let s = -13 + 13. Which is the closest to j? (a) s (b) 1.3 (c) 4 b Let y = -0.19 + 0.32. Let w = 0.03 - y. Let x(u) = -u**2 + 93*u - 183. Let r be x(91). What is the closest to r in 0.1, w, 4? w Let v be -1 + (-48)/(-21) + -5 + 4/1. Let j(a) = -a**3 + 7*a**2 + 8*a - 5. Let h be j(8). What is the closest to -0.05 in v, -0.5, h? v Suppose -4*b - 5*a = 38, -2*b = -a + 9 - 11. What is the closest to 7/3 in b, -1, -0.02? -0.02 Let v be (-10)/((-140)/(-42))*1/2. Which is the nearest to -6/7? (a) 12 (b) -5 (c) v (d) 0.1 c Let y be ((-12)/(-16))/((-399)/56)*-1. Let x = -16/11 - -53/44. Which is the closest to -19? (a) y (b) 5/3 (c) x c Let h = -45.31 + 45.71. Which is the closest to h? (a) 5 (b) 116/9 (c) 1/10 c Let i = 33/62 + -63/31. Which is the nearest to 0? (a) 0.13 (b) i (c) -0.3 (d) 4/7 a Let k be (-24)/12 - 2/1. Let f be (8/(-12))/(1/(-4)). Which is the closest to 2? (a) 4 (b) k (c) f c Let f be ((-4)/(-9))/((-7)/21). Let g = -4.28 - -2.65. Let u = g - -0.63. Which is the nearest to u? (a) 4 (b) f (c) 3/7 b Let j = -2184 - -2183.7. Which is the closest to 2/9? (a) j (b) -0.16 (c) -2 b Let t = -18577 - -18577.6. Suppose 2*l + 3 + 5 = 0. What is the nearest to t in -2/11, l, -0.2? -2/11 Let f = -4864 - -4859. What is the closest to 7 in 0.2, -3/11, f? 0.2 Let q = -1905 - -2065.3. Let h = -160 + q. Which is the closest to 1? (a) -0.4 (b) h (c) 5 b Let j = 6 - 5. Let k = -0.04799 + 0.14799. Which is the closest to j? (a) -13 (b) k (c) 0.3 (d) 5 c Let d = 399 + -398.8. Let o = 1 - 0. Suppose -5 - 3 = 4*w, 0 = -4*x + 4*w. What is the closest to d in 2, o, x? o Let c = 64251/2 - 32125. Let j = -4 - -3.7. What is the nearest to c in j, -1/4, 20? -1/4 Let l be 21/(-12) - 310/(-248). Suppose 4*s = 3*s + 5. Which is the nearest to s? (a) -0.1 (b) l (c) -5 a Let k = 1426.04 - 1426. What is the nearest to 0.1 in -5, k, -7.5, -0.3? k Let s = -7035 + 7032. What is the closest to 1/3 in 4, 5, s, 1? 1 Let t = 19106/5269 + 92/479. Which is the closest to 0? (a) t (b) -0.02 (c) -4 (d) 3 b Let y = 264410 - 264409. Let g = 3 + -2.5. Which is the nearest to -0.1? (a) -0.4 (b) y (c) g (d) 1/3 a Let p = 0.123 + -9.423. Let u = 85 - 75. Let q = u + p. Which is the nearest to 0.1? (a) -3 (b) 0.1 (c) q b Let x = 96293 + -192579/2. Let w = 10 + -5. What is the closest to -0.1 in x, w, 0? 0 Let x = -388 + 396. What is the nearest to x in 5, 4, -21, 0? 5 Suppose -g - u = 42, -5*u + 37 + 158 = -4*g. Let i be (g/10)/(-9)*-6. Which is the closest to 2/3? (a) 23 (b) -2 (c) i b Let s = 918 + -1475. Let q = -556.6 - s. Which is the nearest to 17? (a) 4 (b) q (c) 1 a Suppose 7*b = 5*b + 12. Suppose 7*m + 13 = b. What is the nearest to 1/2 in 1, m, -2/19? 1 Let o = 7026 - 7028. Which is the nearest to o? (a) -3 (b) 0 (c) -5.03 a Let w be (738/180 + -4)*15/9. Which is the closest to 0.1? (a) 15 (b) -4 (c) w c Let o be (-8 + 11)*(-11)/(-99). Let x = 0.1 - 0.2. Let r be ((-15)/330)/(1/(-4)). Which is the nearest to o? (a) x (b) r (c) -1 b Let r = 0.04 + 0.06. Let o = 19412 + -252354/13. What is the closest to r in o, 4, -5, 3? o Suppose -42*h - 5080 = -5038. Let a be 8/(-12)*(-3)/(-5). Let n = 10 - 16. What is the closest to a in n, h, -0.1? -0.1 Let d = -1 + 3. Let j = -26967 - -26965. Which is the closest to d? (a) -3 (b) j (c) 0 c Let i = 1105/4 + -5533/20. Which is the nearest to 2/3? (a) -1 (b) 0.4 (c) 2/79 (d) i b Let d = 3191 - 3205. Let j be 36/216 - 2/3. Which is the closest to d? (a) -1/4 (b) -4 (c) j b Let n(p) = p**2 + 5*p - 1. Let b be n(-6). Let h be (10/4)/b*(-2)/(-8). Let y = h + 1/8. What is the closest to -1 in -3, y, 1/9? 1/9 Let x(k) = -k**3 + 5*k**2 + 27*k + 85. Let u be x(9). Let f be 3*(-1)/(-12)*-3. What is the nearest to f in -3, -1/3, u? -1/3 Let a = 1.99 - 2. Suppose -388*k = 3*w - 384*k - 38, 0 = 4*k - 32. What is the closest to 4 in -2, w, a? w Let p = 213 + -212.6. Let b = -3.91 - 0.09. What is the closest to 70 in -2, b, p? p Let a = -3.045 - -0.045. Let z = -0.54978 - -0.04978. What is the nearest to -0.1 in -0.4, 0.1, z, a? 0.1 Let s = -69 - 110. Let n = 182 + s. Which is the nearest to 1? (a) n (b) 30 (c) -4 a Let p = -31 - -21. Let x = -2894 - -2891. Which is the closest to -1/3? (a) x (b) -2 (c) p b Suppose 0 = 2*n - k - 40, 5 = -n - 2*k + 15. Let h = 21 - n. Let j = 106 - 105.6. What is the closest to -1 in h, j, -0.15? -0.15 Let v = -35546 + 35546.4. What is the closest to -0.2 in -249, v, 4? v Let l = -36932 + 36931. Which is the nearest to l? (a) 9865 (b) -1 (c) 3 b Let r be ((-2)/(-5))/((-72)/120). Which is the closest to 1? (a) r (b) 0.4 (c) 3 (d) -1.79 b Let n be 8/20 - 8/880*64. Suppose 4*z + 6 = 2*i, -4*i = 2*z - 6*i + 6. Let y = 0.01 - -0.03. What is the nearest to -2 in z, n, y? n Let w be (-3)/(120/(-350)) + -9. What is the closest to w in 1, -0.238, 2? -0.238 Let w be (802/(-6))/((-16)/48). Let g = 415 - w. What is the nearest to -1 in 1/3, g, -0.1? -0.1 Let x(g) = g**2 + 5*g - 8. Let d be x(-7). Suppose h + 10 = d*h. Let j = -13/12 - -53/60. Which is the closest to j? (a) 3/5 (b) h (c) 0 c Let m(o) = 12*o**3 + o**2 + 36*o + 34. Let x be m(-1). Which is the nearest to 2? (a) x (b) -0.2 (c) -1/6 (d) -2 c Let s = 202 + -1013/5. Let t(h) = -h + 5. Let w be t(5). Let v = -0.632 - -0.832. What is the closest to v in -1, s, w? w Let h = 587 + -588. Suppose 7*o = 4*o - 12. Which is the closest to h? (a) 2/9 (b) 5 (c) o a Suppose 29 = -4*f - 3*n, 2*n = 20 - 34. Which is the nearest to 0.1? (a) 3/8 (b) f (c) -3/7 (d) 2/9 d Suppose 0 = 33*y - 53 + 57 + 29. What is the closest to y in 2, 5, 2/3, -34? 2/3 Let s = -0.01 - 0.29. Let j = -1.94 - -1.74. Let i be 16 + -14 + 1/(-3) + -1. What is the closest to j in 5/6, i, s? s Let o = -12.19 - -12.47. Which is the closest to 0? (a) o (b) 9 (c) 2 a Let i = -94/3 - -464/15. Let d = 0.504 + -0.004. Suppose 0 = 4*j - 5*w + 8, 5*j - 3*w - 6 + 3 = 0. What is the closest to i in j, -3, d? d Let q = -12065/2 + 6034. Let g = 9 + -9.2. What is the nearest to -1/4 in 2/3, q, g? g Let q = -10 - -6. Let y = 1.18434 - 0.18434. What is the nearest to q
{ "pile_set_name": "DM Mathematics" }
/17. Let t = -78703 - -78702.7. Which is the closest to f? (a) -1/6 (b) t (c) -4 a Let p = 142 + -145. Let g = p + 6. Let a = -0.1 + 0.4. What is the nearest to 1/5 in 2, a, g? a Let m = -38.3 + 6.3. Let g = m - -31.91. Let y = -51 + 51.4. What is the nearest to -0.1 in 2/13, g, y? g Let p = -111.34 + 116.241. Let g = p + 0.099. Let y be (210/(-54) + 4)/1. Which is the closest to -1? (a) y (b) -9 (c) g a Let o = -883114/181 - -4879. What is the closest to -2/5 in -3, -4, o, -0.4? -0.4 Let j = 2.379 - 1.979. Let x = -0.06 + -2.94. Which is the closest to x? (a) 3/4 (b) -0.3 (c) j b Let r = -0.0021 - 653.9979. Let h = r - -653.8. What is the closest to -11 in -2/9, 1, -0.3, h? -0.3 Let o = -8.9 + 9. Let t(r) = -19*r**3 - 6*r**2. Let i be t(1). What is the nearest to o in -2/9, 1/6, i, -3? 1/6 Let c be (-8 - -10)*(-3)/6*3. What is the nearest to 10 in -31, -1/19, c? -1/19 Let i be 24*12/(-32) + 8 + -2. Which is the nearest to 2? (a) 0 (b) 2/15 (c) i (d) 0.3 d Let q = 1055448/55 - 19190. What is the closest to 2/5 in q, -2, 0, 0.5? 0.5 Let y = 0.1 + 13.9. Let f = -4.2 - -7. Let s = -5.8 + f. Which is the closest to y? (a) 3/8 (b) -0.5 (c) s a Let j = -14 + 12.8. Let l = -272.5 + 225. Let p = l - -45.5. Which is the nearest to 2/5? (a) p (b) 2/11 (c) j b Let t be (-1 - 3/((-168)/40)) + (-15)/(-126). Let f = -6 + 8. Which is the closest to t? (a) -1 (b) 0 (c) f b Let d = 13/189 - -209/2457. Let h = -19 - -23. Which is the closest to 0.1? (a) d (b) h (c) -0.16 a Let s be 4 + 666/21 - (-60)/210. Which is the closest to 7? (a) -1 (b) 0.2 (c) 0.5 (d) s c Let n(p) = p**2 - 6*p + 4. Let t be n(4). Let z be ((-3)/2)/(13/44 + (-834)/1529). What is the nearest to -1 in -3/4, z, t? -3/4 Let n = -50 + 50.035. Let o = 0.049 - n. Let u = o - -0.386. What is the closest to -1/2 in -2/9, -0.4, u? -0.4 Let v = 190 - 3992/21. Let i = 27.6 + -24.6. Let h = -107/2 - -52. What is the nearest to h in 0.3, i, v? v Let n = -327.99 + 328.09. What is the closest to n in -1/6, -0.3, 3/19, 39? 3/19 Let j = 0.122 - 0.19. Let r = 22.132 + -22.6. Let o = j - r. What is the closest to -0.1 in o, 4, -35? o Let f = -256 - -4093/16. Let l = 3.914954 - -0.085046. What is the nearest to f in l, 4/5, -0.4? -0.4 Let p = -352.1196 + 0.8196. Let q = p + 351. What is the closest to -0.01 in -0.1, 1/3, -4, q? -0.1 Let i = -1 + -3. Let t = -11 - 46. Let m = -57.1 - t. Which is the nearest to i? (a) -1 (b) m (c) 4 a Suppose -2648*t + 2664*t - 48 = 0. Which is the closest to -86/5? (a) -6 (b) -0.2 (c) t a Suppose 1042 - 512 - 518 = 12*u. Let f be 10/4*-1 - -1. Which is the closest to -6? (a) -5 (b) 2/3 (c) u (d) f a Let s be (-8)/(-5) - (-66885)/(-1225). Let y be (6 + -8)*(-1)/2. Which is the closest to 1? (a) s (b) -5 (c) y c Let r = -1/27 + -25/54. Let z = 23.847 + -0.247. Let o = 24 - z. What is the nearest to r in o, 1/6, 1/3? 1/6 Let r = -33143323/219 - -151340. Let o = 3/73 + r. Let v = -3 + 3.1. Which is the closest to v? (a) o (b) 0.2 (c) 1 b Let n = -1/146 - -307/2190. Let k = 360 - 359.9. What is the closest to 3 in k, -2, n? n Let t = -0.1753 + 0.0753. What is the nearest to -1 in -2/9, t, -181, -4? -2/9 Let j = -2.07 + 3.08. Let i = j - 0.01. Let p = -0.1858 - 0.0142. Which is the nearest to i? (a) p (b) 1 (c) -1/2 b Suppose 3*v - 2*g - 4 = -v, 2*v - 3*g + 2 = 0. Let k(m) = 71 - 10*m + 34 + 43 - 16*m + 8*m. Let o be k(8). Which is the closest to v? (a) o (b) -1/2 (c) -4 a Let a = -3851 - -3846.968. Let y = -4.968 + 5. Let w = a + y. What is the closest to 1 in w, 5, 4? 4 Let s = -683093/9 + 76014. Let g = s + -115. Let q = -4/13 + -19/65. Which is the closest to q? (a) 2 (b) -4 (c) g c Suppose u = -7*y + 5*y - 6, -3*u = -8*y - 52. Which is the closest to 3? (a) -1 (b) y (c) -2/199 c Let f = -411 - -406.9. Let w = 17 - 12. Let m = w + f. Which is the nearest to -0.1? (a) 0 (b) -0.4 (c) m a Let u be 345/(-27) - 234/(-18). Which is the closest to -0.3? (a) -2 (b) u (c) 1/4 b Suppose 0 = 4*c - o + 51, -3*o + 26 = -2*c + 13. Let b be -1*(-12)/c - -1. What is the nearest to 4/7 in b, 4, -4? b Let l = -36.06 + 36.36. Which is the closest to l? (a) -2 (b) 15 (c) 0.4 c Let q = -18.5 - -39.1. Let r = 119.6 - q. Let d = r + -98. What is the nearest to d in 5, 0.4, 1? 1 Let w be 11 + 0 + 0 + 2 + -5. Suppose 2*g + 2 = -4*p + 4, 0 = 2*p - w. What is the closest to g in 1/2, -1/2, 5? -1/2 Let y = -0.00705 - 0.49295. Let m = -0.062 - 0.208. Let k = m - 0.03. Which is the closest to 2/3? (a) 1 (b) k (c) y a Let v = 8147 - 8147.7. What is the closest to 2/9 in 0.3, -1, v? 0.3 Let j = 4/4137 + 918/1379. Let w(k) = -k**3 + 2*k**2 - k - 2. Let f be w(2). What is the nearest to -2/5 in j, f, 0.1? 0.1 Suppose 0*u = 5*u + 80. Let p be (2/10)/((-4)/u). Let d = -0.021 - 0.979. Which is the closest to p? (a) d (b) 4 (c) -5 a Let m = -34065 - -34064. What is the nearest to m in -2/13, -1, 61, 4? -1 Let f = 3173.1 - 3173. Let m be (4/6)/(2/(-12)). What is the nearest to -1 in -3, f, m? f Let w = 0.04 - 0.49. Suppose u - 21*o - 20 = -16*o, -4*o = 2*u + 16. Which is the closest to 1? (a) 5 (b) w (c) u c Let a(r) = 7*r**2 - 7*r - 14. Let n(w) = -8*w**2 + 8*w + 15. Let x(s) = -7*a(s) - 6*n(s). Let z be x(0). What is the nearest to 4 in 2/19, 2, z? 2 Let c = -0.14 + -0.06. Let q = -942 + 1883/2. What is the nearest to q in -3, c, -0.1? c Let f = -39.61 - -39.81. Which is the nearest to 7? (a) -3/8 (b) f (c) -1 (d) 0.4 d Suppose 0 = -5*s + 2*s - 384. Suppose -55*u - 39169 = -354*u. Let l = u + s. What is the nearest to -20 in l, 2, 4? 2 Let x = 10388 + -10386. Which is the closest to -3? (a) x (b) -0.2 (c) -12/7 (d) -0.05 c Let c = 0.56126 - 0.06126. Let h(v) = v**3 + 9*v**2 + v + 5. Let b be h(-9). Let u be 0 + -1 + 2 + 0. What is the closest to u in 1/6, c, b? c Let r(k) = -8*k + 4. Let f be r(18). Let s = 140 + f. Let l = 20 - 24. What is the nearest to s in l, -2, -0.5? -0.5 Suppose 3*a = -2*j - j + 24, -6*j + 24 = 0. What is the nearest to 5 in 14, a, 5/11? a Let w be (2*(-6)/(-16))/((-840)/(-224)). Which is the closest to -1/6? (a) 2/17 (b) -5 (c) w (d) 0.3 a Suppose -5*b + 660 = -5*g, -993 = -5*b - g - 339. Suppose -122 + b = -9*h. What is the nearest to 0 in 0, h, -2/13? 0 Suppose -123*v + 140*v = 34. Suppose -m = -4*t + 3, -4*m = v*t - 5*m - 1. Which is the nearest to t? (a) 1/4 (b) -1/4 (c) -0.3 (d) 0.4 d Let j = 108 - 105. Let y be (j + (-18)/7)*(-4)/6. Let r = 29 - 233/8. What is the nearest to y in -2, 0.3, r? r Let u = -1396.3 - -1468. Let n = 72 - u. Which is the nearest to -0.1? (a) 0 (b) 4 (c) 29 (d) n a Let t = -491 + 320. Let b = t + 170.9. What is the closest to b in 1/2, 2, 1? 1/2 Let q = -151 + 157. Let i be 15/(-10)*q/(-99)*2. Let v = -0.8 - -1. What is the closest to v in 1, -1/9, i? i Let d = -3707.4 - -3700. What is the nearest to d in -2/9, -0.1, 1/2? -2/9 Let b = -336.6 - -336.4. Let h = -4.03 - -0.03. Let o = h + 3.1. What is the closest to 1/3 in o, b, 0.2? 0.2 Suppose 53*u - 78 - 81 = 0. What is the closest to 2/7 in 2/91, u, 28, -1? 2/91 Let z = -2.3407 - 0.6593. Which is the closest to z? (a) -4/29 (b) -4 (c) 3/7 (d) -3/7 b Let o = -1677 + 1095. Let p = -577 - o. Which is the nearest to 2? (a) -2/7 (b) 3 (c) 2/3 (d) p b Let d = -22/15 - -64/105. Let p = 0.38 + 0.14. Let g = 0.12 - p. Which is the nearest to d? (a) -3 (b) 5 (c) g c Let y be 2/5 - (-160)/(-275). Let t = 0.16983 + -0.16983. Let m = -19 + 6. What is the closest to -0.1 in y, t, m? y Let c = -74 - -83. Suppose 24 + c = 11*s. Let j = 0.4 + 2.6. What is the nearest to s in 0, j, -3? j Let p = 206/3 + -68. Let z = -167/141 + 40/47. Which is the closest to -2? (a) 3 (b) p (c) -2/5 (d) z c Let o = -3472.97 + 3473. Which is the closest to -1/3? (a) -1 (b) 2 (c) o c Let g = -3.91 - 0.09. Let q = 1934/4365 + 2/1455. Let y = -23/18 + q. What is the nearest to 1 in 4, g, y? y Suppose -5*b - 10 = -5*z, 10*b - 13*b + 43 = 4*z. What is the closest to 1 in -2/9, 8, 0.1, z? 0.1 Let i be 8 - 31/((-4557)/(-1218)). What is the closest to i in 0.3, -1/4, 0.076? -1/4 Let i(d) = 580*d**3 + 2*d**2 - 12*d + 10. Let r be i(1). Suppose -r*b = -575*b. What is the closest to -0.5 in -0.2, -1/8, b? -0.2 Let n = 32086/45 - 6416/9. Whi
{ "pile_set_name": "DM Mathematics" }
the remainder when 26309 is divided by 10. 9 Calculate the remainder when 337489 is divided by 33747. 19 Calculate the remainder when 5038 is divided by 527. 295 What is the remainder when 6456 is divided by 291? 54 Calculate the remainder when 4089 is divided by 283. 127 What is the remainder when 809098 is divided by 150? 148 Calculate the remainder when 10621 is divided by 217. 205 Calculate the remainder when 735584 is divided by 1093. 1088 Calculate the remainder when 50842 is divided by 253. 242 What is the remainder when 40906 is divided by 487? 485 Calculate the remainder when 3242 is divided by 16. 10 Calculate the remainder when 380188 is divided by 345. 343 What is the remainder when 9355 is divided by 266? 45 What is the remainder when 10131 is divided by 20? 11 Calculate the remainder when 422 is divided by 47. 46 Calculate the remainder when 35573 is divided by 486. 95 What is the remainder when 27453 is divided by 2733? 123 What is the remainder when 1691 is divided by 518? 137 What is the remainder when 21119 is divided by 154? 21 What is the remainder when 8661 is divided by 84? 9 What is the remainder when 5748 is divided by 65? 28 What is the remainder when 154730 is divided by 16? 10 What is the remainder when 21072669 is divided by 1824? 1821 Calculate the remainder when 796487 is divided by 616. 615 Calculate the remainder when 1249428 is divided by 13. 11 What is the remainder when 1303 is divided by 395? 118 What is the remainder when 4611 is divided by 374? 123 Calculate the remainder when 60208 is divided by 15. 13 Calculate the remainder when 2172 is divided by 128. 124 Calculate the remainder when 36386 is divided by 1146. 860 What is the remainder when 287007 is divided by 1679? 1577 Calculate the remainder when 1236 is divided by 57. 39 What is the remainder when 25243 is divided by 5048? 3 Calculate the remainder when 2057 is divided by 670. 47 What is the remainder when 8028 is divided by 142? 76 Calculate the remainder when 5944 is divided by 21. 1 Calculate the remainder when 64489 is divided by 92. 89 Calculate the remainder when 46037 is divided by 23014. 9 Calculate the remainder when 800 is divided by 196. 16 What is the remainder when 115762 is divided by 11? 9 Calculate the remainder when 57659 is divided by 60. 59 What is the remainder when 37201 is divided by 217? 94 What is the remainder when 260858 is divided by 331? 30 Calculate the remainder when 28088 is divided by 376. 264 Calculate the remainder when 5816 is divided by 1916. 68 Calculate the remainder when 62681 is divided by 31266. 149 What is the remainder when 26115 is divided by 2584? 275 Calculate the remainder when 9724 is divided by 108. 4 Calculate the remainder when 80466 is divided by 65. 61 What is the remainder when 53173 is divided by 17638? 259 Calculate the remainder when 1194 is divided by 235. 19 What is the remainder when 52247 is divided by 1944? 1703 What is the remainder when 1603 is divided by 342? 235 Calculate the remainder when 6080 is divided by 6039. 41 What is the remainder when 45259 is divided by 62? 61 Calculate the remainder when 601387 is divided by 601380. 7 What is the remainder when 5372 is divided by 5360? 12 What is the remainder when 4273 is divided by 238? 227 Calculate the remainder when 5479 is divided by 41. 26 What is the remainder when 182331 is divided by 367? 299 What is the remainder when 329497 is divided by 3199? 0 What is the remainder when 162538 is divided by 7388? 2 Calculate the remainder when 17856 is divided by 5. 1 What is the remainder when 360883 is divided by 345? 13 What is the remainder when 11577 is divided by 296? 33 Calculate the remainder when 26837 is divided by 5366. 7 Calculate the remainder when 555 is divided by 337. 218 Calculate the remainder when 2370 is divided by 1050. 270 Calculate the remainder when 2790 is divided by 1371. 48 What is the remainder when 5742 is divided by 5? 2 Calculate the remainder when 216 is divided by 30. 6 What is the remainder when 212911 is divided by 97? 93 Calculate the remainder when 53185 is divided by 7597. 6 What is the remainder when 22709 is divided by 295? 289 What is the remainder when 3454 is divided by 265? 9 What is the remainder when 531677 is divided by 79? 7 What is the remainder when 35432 is divided by 19? 16 Calculate the remainder when 9578 is divided by 9485. 93 What is the remainder when 185907 is divided by 59? 57 Calculate the remainder when 87019 is divided by 43502. 15 What is the remainder when 5209 is divided by 50? 9 What is the remainder when 4007 is divided by 448? 423 What is the remainder when 9633 is divided by 4779? 75 Calculate the remainder when 4706 is divided by 265. 201 What is the remainder when 22579 is divided by 60? 19 Calculate the remainder when 12465 is divided by 520. 505 What is the remainder when 121767 is divided by 615? 612 What is the remainder when 202479 is divided by 202478? 1 What is the remainder when 2001 is divided by 64? 17 Calculate the remainder when 117641 is divided by 58813. 15 Calculate the remainder when 779 is divided by 121. 53 Calculate the remainder when 400 is divided by 386. 14 What is the remainder when 14065 is divided by 4688? 1 What is the remainder when 104489 is divided by 34816? 41 What is the remainder when 218875 is divided by 13? 7 What is the remainder when 69837 is divided by 360? 357 What is the remainder when 54317 is divided by 40? 37 What is the remainder when 188270 is divided by 328? 326 Calculate the remainder when 35476 is divided by 124. 12 Calculate the remainder when 5503 is divided by 675. 103 What is the remainder when 45244 is divided by 37? 30 Calculate the remainder when 18788 is divided by 9387. 14 What is the remainder when 518697 is divided by 105? 102 Calculate the remainder when 1838 is divided by 129. 32 Calculate the remainder when 1653 is divided by 166. 159 Calculate the remainder when 506051 is divided by 2249. 26 What is the remainder when 1124 is divided by 156? 32 What is the remainder when 709 is divided by 182? 163 Calculate the remainder when 10110 is divided by 3309. 183 What is the remainder when 13515 is divided by 221? 34 What is the remainder when 179470 is divided by 485? 20 What is the remainder when 597001 is divided by 4234? 7 What is the remainder when 17513 is divided by 146? 139 What is the remainder when 9772 is divided by 752? 748 What is the remainder when 410469 is divided by 37? 28 What is the remainder when 814 is divided by 628? 186 Calculate the remainder when 2360 is divided by 559. 124 What is the remainder when 136391 is divided by 136376? 15 What is the remainder when 450083 is divided by 45? 38 What is the remainder when 3565 is divided by 2843? 722 Calculate the remainder when 1620 is divided by 7. 3 What is the remainder when 45347 is divided by 133? 127 What is the remainder when 20459 is divided by 426? 11 Calculate the remainder when 319083 is divided by 13. 11 What is the remainder when 1260 is divided by 352? 204 What is the remainder when 324115 is divided by 28? 15 Calculate the remainder when 1568 is divided by 745. 78 What is the remainder when 2395 is divided by 436? 215 Calculate the remainder when 128694 is divided by 32. 22 Calculate the remainder when 736206 is divided by 565. 11 What is the remainder when 12432 is divided by 221? 56 Calculate the remainder when 50482 is divided by 16827. 1 What is the remainder when 60093 is divided by 2729? 55 What is the remainder when 25230 is divided by 366? 342 Calculate the remainder when 4785 is divided by 1193. 13 Calculate the remainder when 33048 is divided by 69. 66 Calculate the remainder when 4196 is divided by 780. 296 Calculate the remainder when 17357 is divided by 2470. 67 Calculate the remainder when 2564 is divided by 1276. 12 What is the remainder when 7636 is divided by 29? 9 Calculate the remainder when 98209 is divided by 38. 17 What is the remainder when 5588 is divided by 5556? 32 What is the remainder when 46740 is divided by 23367? 6 Calculate the remainder when 40539 is divided by 4. 3 Calculate the remainder when 91081 is divided by 6505. 11 What is the remainder when 2620 is divided by 266? 226 What is the remainder w
{ "pile_set_name": "DM Mathematics" }
138*q**5 + 111*q**5 + 97*q**5 wrt q. 1400*q**3 Let g(d) be the third derivative of -1/6*d**3 + 0*d + 1/30*d**5 - 3*d**2 + 0 + 0*d**4. What is the first derivative of g(t) wrt t? 4*t Let r(o) = -o + 5. Let y be r(4). What is the first derivative of 0*x**3 + 2*x**3 - 3 + y wrt x? 6*x**2 Let q(z) = -3*z - 1. Let c(x) = x + 5. Let p be c(-6). Let y be q(p). Find the second derivative of -3*n - n**y + n + 4*n wrt n. -2 Let h = 34 - 22. What is the second derivative of -y + h*y**3 + 3*y - 14*y**3 wrt y? -12*y Let s(a) be the third derivative of -17*a**8/336 + 7*a**5/20 + 11*a**2. What is the third derivative of s(g) wrt g? -1020*g**2 Suppose 4*a = 2*a + 10. Find the third derivative of 0*y**5 + 4*y**5 - a*y**5 - 2*y**2 - 4*y**2 wrt y. -60*y**2 What is the third derivative of 198*w**3 - 198*w**3 + 3*w**5 - w**2 wrt w? 180*w**2 Let x(c) be the second derivative of -c**8/112 - c**4/12 - c**2/2 - 2*c. Let l(i) be the first derivative of x(i). Find the second derivative of l(o) wrt o. -60*o**3 Let p(x) = -16*x**2 - 4. Let d(q) = 17*q**2 + 4. Let m(y) = -5*d(y) - 6*p(y). Find the first derivative of m(s) wrt s. 22*s Let i be (1 + 1 - 2)/(-2). Let g be (-2)/2 - (-4 + i). Find the second derivative of -5*x**5 - x + 0*x + g*x**5 wrt x. -40*x**3 Let y(l) = 59*l**4 - 5*l**3 + 9*l**2. Let g(r) = 30*r**4 - 2*r**3 + 4*r**2. Let n(v) = -5*g(v) + 2*y(v). Find the third derivative of n(z) wrt z. -768*z Let t(w) be the first derivative of 0*w**2 + w + 2 - 1/6*w**4 - 1/3*w**3. Let u(g) be the first derivative of t(g). Find the second derivative of u(i) wrt i. -4 Suppose 0*c = -2*c. Suppose c = w - 0*w - 3. Find the first derivative of z**2 - 3 - w*z**2 + 4 wrt z. -4*z Let v = -19 + 25. What is the first derivative of -2*u**2 + v + 6*u**2 - 1 wrt u? 8*u Find the first derivative of -153*h + 8*h**4 + 0*h**4 + 153*h + 8 wrt h. 32*h**3 Suppose 1 = -2*y + 5. What is the third derivative of 10*x**2 + x**3 - y*x**3 - 2*x**3 - 5*x**2 wrt x? -18 Suppose 4*y + y + p - 23 = 0, -y - p + 7 = 0. What is the second derivative of -5*z + 5*z**y - 7 + 7 wrt z? 60*z**2 Let g(w) be the second derivative of -w**7/420 - w**6/360 - w**4/2 - 4*w. Let p(b) be the third derivative of g(b). What is the second derivative of p(d) wrt d? -12 What is the second derivative of -24*w**2 + 10*w - 24*w**5 + 14*w**2 + 10*w**2 wrt w? -480*w**3 Let a(z) = -z**3 - 1. Let q(x) = 6*x**3 - 13*x**2 + 5. Let p(h) = 5*a(h) + q(h). What is the third derivative of p(k) wrt k? 6 Let r(a) = -15*a**4 - 2*a**3 + 13*a. Let i(c) = -16*c**4 - 3*c**3 + 13*c. Let k(f) = 2*i(f) - 3*r(f). What is the second derivative of k(n) wrt n? 156*n**2 Let b(l) = -4*l**4 - 6*l**3 - 14*l - 6. Let a(y) = 7*y**4 + 11*y**3 + 27*y + 11. Let r(z) = 6*a(z) + 11*b(z). Find the second derivative of r(x) wrt x. -24*x**2 Let c(d) be the first derivative of -2*d**3/3 - 19*d**2 - 23. Find the second derivative of c(p) wrt p. -4 Let k(v) = v**3 + v**2 + v + 1. Let w(x) = 9*x**4 + 5*x**3 + 5*x**2 + 5*x - 1. Let l(a) = 5*k(a) - w(a). Find the first derivative of l(b) wrt b. -36*b**3 Let k(o) be the first derivative of -8*o**6/3 + 16*o**3/3 - 4. What is the third derivative of k(u) wrt u? -960*u**2 Let i(n) be the first derivative of -n**4/4 + 5*n**3/3 - 4*n**2 - 3*n + 34. Find the second derivative of i(q) wrt q. -6*q + 10 Let i(q) = -q - 2. Let u(j) = j + 1. Let f(k) = -4*i(k) - 3*u(k). Let y be f(-5). Find the second derivative of -3*r + 0*r**4 + y*r - r**4 wrt r. -12*r**2 Let g(k) = -96*k + 9. Let m(n) = -19*n + 2. Let d(l) = 4*g(l) - 21*m(l). Differentiate d(j) wrt j. 15 Find the first derivative of -9*a**3 - 4 - 9 + a**3 + 3 wrt a. -24*a**2 Let v(j) = 1. Let g(r) = r - 4. Let s(z) = -g(z) + 2*v(z). Differentiate s(h) wrt h. -1 Let w(s) be the first derivative of 6*s**5/5 - 3*s**2/2 - 7. What is the second derivative of w(x) wrt x? 72*x**2 Let u(j) be the second derivative of j**5/5 - 5*j**4/4 + 35*j**3/6 - 20*j - 1. Find the second derivative of u(v) wrt v. 24*v - 30 Let w = 9 - -5. Let v = w - 10. Find the second derivative of -m**v + 0*m - m + 2*m wrt m. -12*m**2 Let n(g) be the first derivative of -3*g**2/2 + 3*g - 4. What is the first derivative of n(j) wrt j? -3 Let c(p) be the first derivative of p**6/90 + p**4/8 + p**3 + 5. Let z(j) be the third derivative of c(j). Differentiate z(t) wrt t. 8*t Let m(y) be the second derivative of y**4/24 + y**3/3 + 3*y**2/2 - 3*y. Let k(p) be the first derivative of m(p). Differentiate k(j) with respect to j. 1 What is the second derivative of 13*s - 4031 - 15*s**3 + 4031 wrt s? -90*s Let y = 19 - 13. What is the third derivative of -a**5 - 2*a**2 + y + 14 - 20 wrt a? -60*a**2 Let o be (-2)/(-8) + 148/(-16). Let w = o + 13. What is the second derivative of s + w*s**4 - 5*s**4 - s**4 wrt s? -24*s**2 Let j(h) be the first derivative of h**6 - 2*h**3 - 8. Find the third derivative of j(i) wrt i. 360*i**2 Let b(a) be the third derivative of a**5/60 - a**3/6 + 10*a**2. Differentiate b(m) with respect to m. 2*m Let u(t) = -t**3 + 8*t**2 - 7*t + 5. Let o be u(7). Differentiate g - 6*g + 11 - o*g with respect to g. -10 Suppose 0 = -0*t + 4*t - 8. Suppose -3*w + 4 = 3*g - w, 9 = t*g - 5*w. What is the first derivative of g*s - 2 + 3 + 1 wrt s? 2 Let k(q) be the second derivative of q**8/3360 - q**5/24 + 2*q**4/3 - 3*q. Let n(a) be the third derivative of k(a). Find the first derivative of n(l) wrt l. 6*l**2 Let m(q) be the first derivative of -5*q**4/4 - 3*q**2 + 1. Find the second derivative of m(z) wrt z. -30*z Let c(o) = 4*o**5 - 2*o**4 + 2*o**3 - o. Let d(w) = 21*w**5 - 11*w**4 + 11*w**3 - 4*w. Let l(f) = 22*c(f) - 4*d(f). What is the second derivative of l(g) wrt g? 80*g**3 Differentiate -3 - 2*v**2 - v + v + 9 with respect to v. -4*v Let b = -46 - -48. Let d(y) be the third derivative of 0*y**4 + 0 + 3*y**b + 0*y + 1/3*y**3 - 1/20*y**5. What is the derivative of d(w) wrt w? -6*w What is the derivative of 9*q**3 + 1 + 10 + 9*q**3 + 3 wrt q? 54*q**2 Suppose -4*c + 1 = -4*y - 3, 0 = 2*c + 3*y - 22. Find the third derivative of q**c - 3*q**5 - q**2 + q**5 wrt q. -60*q**2 Let w = -17 + 19. Find the first derivative of -h**2 - 9 + h**2 + 0*h**w - 2*h**3 wrt h. -6*h**2 Let z(d) = -4*d**4 + 19*d**3 - 17*d**2 - 6*d - 2. Let b(u) = u**4 + u. Let t(c) = -6*b(c) - z(c). What is the third derivative of t(x) wrt x? -48*x - 114 Suppose 0 = -2*u + 4*u + 4*h + 10, 3*h + 25 = 2*u. Find the second derivative of 0*q**5 + 4*q + q**u - 5*q + 2*q wrt q. 20*q**3 Find the second derivative of 45*u**2 - 6*u**2 + 0*u**2 - 20*u wrt u. 78 Let k(c) be the third derivative of c**7/630 - c**5/30 - c**4/8 + 5*c**2. Let b(u) be the second derivative of k(u). What is the derivative of b(n) wrt n? 8*n Let m be -1*(-2)/3*6. Let d(g) be the first derivative of 1/3*g**3 + 0*g**5 + 1/3*g**6 + 0*g**m + 1 + 0*g + 0*g**2. Find the third derivative of d(f) wrt f. 120*f**2 Let p be (2 + -4)/((-2)/4). Suppose 12 - 4 = p*a. Find the third derivative of -b**3 + 3 - 3 - b**a wrt b. -6 Let a(h) = 1. Let i(b) = -3*b**2 + 30. Let y(w) = 54*a(w) - 2*i(w). Differentiate y(l) with respect to l. 12*l Let o(j) = j + 2. Let y be o(3). Let t(k) be the first derivative of 0*k**4 - 1/2*k**2 + 4/5*k**y + 4 + 0*k + 0*k**3. Find the second derivative of t(l) wrt l. 48*l**2 Let h(p) = p - 1. Let l be h(4). Find the second derivative of -l*f + f - 3*f**5 + 2*f**2 - 2*f**2 wrt f. -60*f**3 Let m(x) = -x**3 + 2*x**2 + 2*x - 3. Let j be m(3). Let i(d) = -d - 2. Let w be i(j). Find the first derivative of 1 + 2 + g**4 + 3*g**w wrt g. 16*g**3 Let c(g) = -g + 1. Let x be c(1). Find the first derivative of 0*h**2 - 4*h**2 + x + 3 - 2*h**2 wrt h. -12*h Suppose -m + 3 = -0*m. Let y(s) = -s**2 - 2*s. Let k(h) = 2*h. Let f(g) = m*k(g) + 2*y(g). Find the second derivative of f(c) wrt c. -4 Let p be 12/(-5) - 21/35. Let d(f) = -f - 17. Let c(x) = x + 8. Let n(y) = p*d(y) - 7*c(y). Differentiate n(i) wrt i. -4 Differentiate -13*d**4 + 5*d - 17 - 5*d + 0*d**4 with respect to d. -52*d**3 Let s be 2 + 7/((-7)/6). Let m be (6/s)/(2/(-4)). What is the second derivative of 3*k + 18*k**m + k**4 - 18*k**3 - 2*k**4 wrt k? -12*k**2 Suppose 0 = -3*t - 0*h + 3*h + 15, 0 = 2*t - 4*h - 12. What is the third derivative of 5*o**2 + 4*o**4 + 0*o**2 - o**t - 3*o**2 wrt o? 72*o Let i(r) = 4*r**3 - 6*r
{ "pile_set_name": "DM Mathematics" }
6 Round -11464.0192 to the nearest 1000. -11000 Round -0.1628451 to 0 dps. 0 What is 32.55314848 rounded to three decimal places? 32.553 What is -0.00000917027745 rounded to six dps? -0.000009 Round -0.00000093528851 to 7 decimal places. -0.0000009 Round 0.00718267031 to three decimal places. 0.007 Round -13093.2251 to the nearest 100. -13100 Round -3972.796093 to the nearest 1000. -4000 What is 2829.585397 rounded to the nearest 100? 2800 Round -0.0000281566923 to 6 decimal places. -0.000028 What is 29998037.8 rounded to the nearest 1000000? 30000000 What is 0.6656059577 rounded to five decimal places? 0.66561 Round 5135.049011 to 0 dps. 5135 Round 117436970800 to the nearest 1000000. 117437000000 Round -926187.209 to the nearest 1000. -926000 What is -0.011207218983 rounded to six dps? -0.011207 What is -16.17093498 rounded to 0 dps? -16 Round 3484907.6 to the nearest 100. 3484900 What is 10648029.22 rounded to the nearest 100000? 10600000 Round 0.056287195 to 3 decimal places. 0.056 Round 32.813485 to 1 dp. 32.8 Round -868115.2821 to the nearest 1000. -868000 Round -108015869.3 to the nearest 1000000. -108000000 Round 0.002347230199 to 4 dps. 0.0023 What is -0.00458867621 rounded to 5 decimal places? -0.00459 Round 0.00566333852 to 4 dps. 0.0057 What is -0.05265722127 rounded to four decimal places? -0.0527 What is -1234326.21 rounded to the nearest 100? -1234300 What is -876.1215096 rounded to one decimal place? -876.1 What is -0.00405959475 rounded to five decimal places? -0.00406 What is 0.000134135587 rounded to 7 decimal places? 0.0001341 Round 0.75536772 to 3 decimal places. 0.755 Round 333.018589 to one dp. 333 Round 15832913.949 to the nearest one million. 16000000 Round -0.00000212937143 to 6 decimal places. -0.000002 What is 2.2291448267 rounded to four dps? 2.2291 What is 164311178.7 rounded to the nearest 100000? 164300000 What is 98923.1 rounded to the nearest 100000? 100000 What is -130585157500 rounded to the nearest 1000000? -130585000000 What is 1086673.45 rounded to the nearest one thousand? 1087000 Round 0.015854612 to three decimal places. 0.016 What is -107855.4531 rounded to the nearest one thousand? -108000 Round 105.663454 to the nearest integer. 106 What is -0.0226023612 rounded to 4 dps? -0.0226 Round -121921288.2 to the nearest 100000. -121900000 What is -0.00188422521 rounded to five decimal places? -0.00188 Round 1.08542909 to 3 decimal places. 1.085 What is -0.041906691 rounded to two decimal places? -0.04 What is 2047.30889 rounded to the nearest 100? 2000 What is 131788.335 rounded to the nearest 100? 131800 What is -0.3532545515 rounded to five dps? -0.35325 Round -16357.22531 to the nearest 1000. -16000 What is -5580216 rounded to the nearest one hundred thousand? -5600000 What is -0.0026849056286 rounded to four dps? -0.0027 What is 259408.0801 rounded to the nearest 1000? 259000 Round -12.4892152 to 3 dps. -12.489 What is -840161063 rounded to the nearest one hundred thousand? -840200000 What is 0.00130284597 rounded to six dps? 0.001303 Round 403658927.3 to the nearest 10000. 403660000 What is -561.4715179 rounded to two dps? -561.47 Round 0.00054256965 to six decimal places. 0.000543 What is 0.0009325904 rounded to 3 dps? 0.001 Round -0.007184665674 to five decimal places. -0.00718 Round -1061508.712 to the nearest ten thousand. -1060000 What is 18992726.83 rounded to the nearest 10000? 18990000 Round -23.4708644 to three decimal places. -23.471 What is 0.00037815834 rounded to four decimal places? 0.0004 What is -6176.43996 rounded to the nearest 100? -6200 Round 0.0237880401 to 4 dps. 0.0238 What is -0.00229660164 rounded to 4 dps? -0.0023 What is 34556916 rounded to the nearest one hundred thousand? 34600000 Round -98850.997 to the nearest one hundred. -98900 Round -0.00060301432 to 6 dps. -0.000603 Round -15.7546486 to the nearest 10. -20 Round 541315388 to the nearest one hundred thousand. 541300000 What is 0.00000108459661 rounded to 7 dps? 0.0000011 Round 83.461729 to one decimal place. 83.5 Round -0.0000004012395555 to seven dps. -0.0000004 What is -114868787 rounded to the nearest 1000000? -115000000 Round 28425403.77 to the nearest 10000. 28430000 What is -288168948 rounded to the nearest ten thousand? -288170000 What is 0.009815009352 rounded to six dps? 0.009815 What is -0.03884717256 rounded to six dps? -0.038847 What is 1334420.97 rounded to the nearest 10000? 1330000 What is 4.40617674 rounded to 4 dps? 4.4062 Round -355.73626 to 2 decimal places. -355.74 Round -0.0031535417 to five dps. -0.00315 Round -3500400.5 to the nearest 100000. -3500000 What is 17659309.57 rounded to the nearest one hundred thousand? 17700000 Round 0.000020065229 to six dps. 0.00002 Round -14.67268497 to 3 dps. -14.673 What is 165.67303 rounded to 1 dp? 165.7 Round -220.866127 to 1 dp. -220.9 Round 36165.643 to the nearest 1000. 36000 What is 30.533808 rounded to one dp? 30.5 What is -0.08126122334 rounded to 3 dps? -0.081 Round 1010368.023 to the nearest 100. 1010400 What is -0.0003675217 rounded to seven decimal places? -0.0003675 What is -0.000589801503 rounded to 4 dps? -0.0006 Round 0.827059618 to one decimal place. 0.8 Round -23.7298496 to one dp. -23.7 Round -68128942 to the nearest one hundred thousand. -68100000 Round -1063580041 to the nearest 100000. -1063600000 What is -10388569.4 rounded to the nearest 100000? -10400000 Round -78324532.4 to the nearest one hundred thousand. -78300000 Round -11.480146 to zero decimal places. -11 What is -206384.4407 rounded to the nearest one hundred? -206400 Round -165.870706 to 1 decimal place. -165.9 What is 117.95971 rounded to the nearest 100? 100 What is 3291102.75 rounded to the nearest one hundred thousand? 3300000 What is -10864581.7 rounded to the nearest one million? -11000000 What is -0.000004265016 rounded to six decimal places? -0.000004 Round -5158608.65 to the nearest 100. -5158600 What is -18.0770784 rounded to three decimal places? -18.077 Round -0.40498291 to 2 decimal places. -0.4 Round 0.0510985259 to 4 decimal places. 0.0511 What is 0.00615852717 rounded to three decimal places? 0.006 Round 16749.154053 to 1 dp. 16749.2 What is -401253.614 rounded to the nearest 10000? -400000 Round 2266.6403 to the nearest ten. 2270 Round -703788.3795 to the nearest 10000. -700000 What is 1.0831949 rounded to three dps? 1.083 What is -440.186869 rounded to the nearest integer? -440 What is -1090.287146 rounded to 0 dps? -1090 Round -15032.2877 to the nearest one thousand. -15000 What is -131.0414366 rounded to 1 decimal place? -131 What is 1166.09992 rounded to 1 dp? 1166.1 What is 2211.39205 rounded to the nearest 1000? 2000 Round 0.024122962 to three decimal places. 0.024 Round -0.000063108813 to five decimal places. -0.00006 Round -17112.6062 to 0 decimal places. -17113 Round 0.0286860449 to 6 dps. 0.028686 Round -0.0016987413 to 4 decimal places. -0.0017 Round 1279.6466167 to the nearest 100. 1300 What is 48018524 rounded to the nearest one million? 48000000 What is 328.43279867 rounded to the nearest 10? 330 Round -2988.2921 to the nearest 1000. -3000 Round 78732483.77 to the nearest 1000. 78732000 Round 0.000261595214 to 4 dps. 0.0003 What is -178469230 rounded to the nearest one million? -178000000 What is -2248233.2 rounded to the nearest one thousand? -2248000 Round -2.086604 to two dps. -2.09 Round 387824.79 to the nearest 100000. 400000 What is 1.801287748 rounded to five dps? 1.80129 What is -0.25546415 rounded to 3 decimal places? -0.255 What is -17723.17211 rounded to the nearest one hundred? -17700 What is -15997039022 rounded to the nearest 1000000? -15997000000 What is 0.0292580017 rounded to 6 decimal places? 0.029258 What is -2095282.019 rounded to the nearest one hundred thousand? -2100000 What is -239.484979 rounded to 0 decimal places? -239 Round 6.2574275 to the nearest integer. 6 Round -81.52626 to two decimal places. -81.53 Round 7867.726602 to 0 decimal places. 7868 What is -987644.87 rounded to the nearest ten thousand? -990000 Round 0.0000053386402 to 7 decimal places. 0.0000053 Round -0.0950685468 to 2 dps. -0.1 What is 0.00503367531 rounded to five decimal places? 0.00503 What is -0.000003779159302 rounded to seven dps? -0.00000
{ "pile_set_name": "DM Mathematics" }
a - 131*a + 630 + (1 - 2 + 2)*(-a - 1 + 1) - 3*a + 3*a + 2*a. 5*a + 630 Expand (406*p - 1387*p - 581*p)*(-5 + 2 + 2) + 0 + 0 - p + 0*p + 3*p - 4*p + (1 + p - 1)*(1 + 0 - 3) + 1 - 2*p - 1 + 2*p + 2 - 2 + 3*p + 2*p - 4*p. 1559*p Expand -7 + 2*h**3 + 0*h**3 + 3 + (-1 + 2 + 2)*(168*h**2 + 2*h**3 + 79*h**2 - 77*h**2). 8*h**3 + 510*h**2 - 4 Expand (-1 + 5 - 2)*(0*r**5 - r**5 - r**5) - 2107*r**5 + 4779*r**2 - 9551*r**2 + 4774*r**2. -2111*r**5 + 2*r**2 Expand 36*w + 14*w - 25*w + (-35 + 2 + 11)*(4 - 4 + w). 3*w Expand ((-4 + c + 4)*(2*c + c - c) + 8*c**2 - 18*c**2 + 9*c**2)*(c + 3*c**3 - c) - 59*c**5 - 9*c**4 - 8*c**4 + 19*c**4. -56*c**5 + 2*c**4 Expand 4321*v + 2234*v - 3498*v + (3 - 3 - 2)*(2*v - 5 + 5). 3053*v Expand (4*h + 0*h - 2*h)*(-1404*h**3 - 218*h**3 - 1360*h**3). -5964*h**4 Expand (15*i**3 - 14*i**3 + 21*i**3)*(-i**2 - 3*i**2 + 0*i**2) + (4*i**2 - 13*i**2 + 3*i**2)*(-3*i**3 + 4*i**3 + i**3). -100*i**5 Expand (-2 + 5 - 1)*(1 + 1 - 3)*(-738 + 492 - 542)*(3*a + 2*a - 3*a). 3152*a Expand (-5*c - 21*c + 3*c)*(-1 - 3 + 2) + 56 - 56 - 3*c. 43*c Expand (3*l + 0*l - 6*l)*(-1 - 4 + 4) + 28333 - 28333 - 157*l + (0 + 0 + 2)*(-l + 6*l - 4*l)*(-3 + 2 - 1). -158*l Expand i**2 + i**2 + 0*i**2 + (4 + 1 - 3 + (3 + 4 - 13)*(2 - 1 + 1))*(1 - 4 + 2)*(-3 + 3 - 3)*(-4*i**2 + 5*i**2 + 11*i**2). -358*i**2 Expand (50 + 4 - 9)*(-5*y + 840*y**4 + 13 + 2*y - 838*y**4). 90*y**4 - 135*y + 585 Expand (-25 + 15*g + 23 + 12*g)*(10 - 31 + 11)*(5*g - 2*g - 2*g). -270*g**2 + 20*g Expand -2*c**4 - 2*c**4 + 2*c**4 + (2 + 1 - 5)*(-3*c**4 + 4*c**4 - 3*c**4 + (5*c - 3*c + 2*c)*(24*c**3 - 25*c**3 + 41*c**3)). -318*c**4 Expand (-17 - 5 + 4)*(42 - 442*b**2 - 77 + 35). 7956*b**2 Expand (-2 - 5 + 1)*(0 + 3 - 5)*(-23*m - 20*m + 42*m)*(3 + 0 + 4). -84*m Expand -2*b**2 - 3 + 3 + (191*b - 105*b - 125*b)*(-12*b + 7*b - 3*b). 310*b**2 Expand 84*y**3 + 88*y**4 - 84*y**3 + (-y**2 - 5*y + 5*y)*(-2*y**2 - y**2 + 2*y**2) - 8*y**2 + 8*y**2 - 3*y**4. 86*y**4 Expand (2 + 2 - 3 + (-3 - 3 + 5)*(-4 + 5 + 2))*(-588*g - 64892 + 64892). 1176*g Expand (14*h - 14*h + h**2)*(92*h - 119*h + 62*h + (0 + 2*h + 0)*(-3 + 4 - 2)). 33*h**3 Expand ((-i - 2*i + 5*i)*(i**2 + 8*i**2 + 0*i**2) + (3 - 2 - 3)*(2*i + i**3 - 2*i))*(3 - 11*i - 3). -176*i**4 Expand ((2*u - u - 3*u)*(0 + 2*u + 0) - 3*u + u**2 + 3*u + (u + 1 - 1)*(3*u - 3*u + u))*(281 + 16 - 1). -592*u**2 Expand (-2*n**2 + 3*n**2 - 2*n**2)*(-2 + 3 - 3) - n**2 - 3*n**2 + n**2 + 42474*n**2 + 39829*n**2 - 76821*n**2. 5481*n**2 Expand (0*p + 0*p - 3*p)*(p**2 + 0*p**2 - 3*p**2) + 105514*p**2 + 2*p**3 - 6*p - 105505*p**2 + 0*p**3. 8*p**3 + 9*p**2 - 6*p Expand (0 + 0 - d**3)*(372*d - 1024*d + 196*d) + (0*d + 0*d - 2*d**2)*(3 - d**2 - 3) + 0*d**4 + 5*d**4 - 3*d**4. 460*d**4 Expand 308 + 15*u**2 - 16*u**2 + 27 + (2 - 2 + 2*u)*(2*u - 2 + 2) + 4*u**2 - 5*u**2 + 3*u**2. 5*u**2 + 335 Expand (-n - 2 + 0*n - 2*n)*(663 - 9*n - 663). 27*n**2 + 18*n Expand (3*w**2 + 14*w - 14*w)*((-w + w + w)*(-1 - 1 + 4) - 63061 + 63061 + 409*w)*(6*w - 6*w + 4*w)*(w + 0*w + w). 9864*w**5 Expand (-6*a + 2*a + 2*a - 2*a)*(-1006 - 129 + 473). 2648*a Expand (-11572 + 11574 - 136*m - 119*m)*(7 - 2 - 2)*(-2 + 3 - 4). 2295*m - 18 Expand (0*j + 0*j - 2*j)*(9 - 9 + 5*j) + (16 + 9*j - 16)*(-1 + 1 - j) - 4 + 6*j**2 + 4 + 43*j**2. 30*j**2 Expand (-2*z + 12*z - z)*(6 - 8 + 46 + 40). 756*z Expand (-2924*b - 10 - 13 - 6 + 29)*(-18 + 18 - 9*b). 26316*b**2 Expand -2*u + 2*u**5 + 2*u + 3*u - 2*u**5 - 3*u + (-6 - 5*u + 6)*(543*u + 40*u**4 - 543*u). -200*u**5 Expand (15 - 4 + 10)*(m - 7*m + 4*m)*(2 - 4 + 4) + (-6 + 2 + 2)*(-4 - 2*m + 4) - 3*m + 2*m - 3 + 11. -81*m + 8 Expand (-1 - 2 + 4)*(r - 2*r + 0*r) + (-2*r + 6*r + r)*(-2 + 3 - 3)*(-16 + 4 + 8)*(0 - 1 + 2). 39*r Expand (4*s**4 - 2*s**4 - 5*s**4)*(0 + 2 - 4)*(185 - 470 + 207). -468*s**4 Expand (-10*j + 2*j - 5*j)*(-j**2 - 57*j**3 + j**2) - 3*j**4 + 6*j**4 - 4*j**4 + 2*j**4 + 0*j**4 - j**4. 741*j**4 Expand -2*w - 2*w**3 + 2*w + (2 - 2 + 2*w**2)*(-w + 2*w - 3*w) + 2*w**3 - 5*w**3 + 0*w**3 + 1 - 549*w**3 - 95*w**3 - 3. -653*w**3 - 2 Expand ((2*m**2 - 2*m**2 + 2*m**2)*(-9*m + 15 - 15) + 4*m**3 - m**3 - m**3 - 43 + 43 + 20*m**3)*(-3 + 3 - m)*(3 + m + 1 + m). -8*m**5 - 16*m**4 Expand 65*v + 56*v - 149*v - 9 + (-1 + 2 - 3)*(-v + 2*v - 3*v) + 0*v - 2*v + 0*v. -26*v - 9 Expand (-261*d + 673*d - 277*d - 334*d)*(4*d**3 - 3*d**4 + 3*d**3 + 5*d**4). -398*d**5 - 1393*d**4 Expand (186 + 9*o - 186)*(-o**2 + o**2 - 5*o**2)*(5 - 4 + 5) + (3*o**2 + 0*o**2 - 2*o**2)*(3*o - 5*o + o). -271*o**3 Expand (0*p**5 + 0*p**5 - p**5)*(684 + 929 - 6). -1607*p**5 Expand 5*a**4 - 26*a**3 + 26*a**3 + (-1 + 4*a + 1)*(-a**3 + a**3 - 2*a**3) + 41*a**3 - 1 + 4*a**4 - 21*a**3 - 23*a**3. a**4 - 3*a**3 - 1 Expand (20*v - 319 + 312 + 21*v)*(-5 + 5 - 3*v). -123*v**2 + 21*v Expand (-683 + 669 - 6*f + 0*f)*(-2*f + 5*f - 2*f) + 2*f**2 + 2*f**2 - 3*f**2 + (-6*f + f + 3*f)*(f - 3*f + 0*f). -f**2 - 14*f Expand (20*r**2 + 16*r**2 + 10*r**2)*((3 - 1 + 0)*(1 - 1 + 3*r) + r + 0*r + r). 368*r**3 Expand (-1 - 5 + 5)*(1 - 1 + z)*(897 - 1594*z - 897). 1594*z**2 Expand (31 - 34 + 17)*(-2*k**4 + 2*k**4 - 2*k**4) + (481*k**2 - 234*k**2 + 336*k**2)*(0*k**2 - 3*k**2 + k**2) + (2 + k - 2)*(-4*k**3 - k**3 + 4*k**3). -1195*k**4 Expand (6*v**3 + 7*v**3 + 2*v**3)*(2 - 2 - v + (2 - 3 + 4)*(-2 + v + 2)) + (5*v - v - 2*v)*(3*v**3 + 1 - 1)*(2 + 0 - 3 + (2 - 3 - 1)*(3 - 5 + 3)). 12*v**4 Expand 2*u**5 - 1 - 11*u**4 + 11*u**4 + (-u**4 - u**4 + 0*u**4)*(-3493 + 3493 + 54*u). -106*u**5 - 1 Expand (-35 + 73 - 37 - 249*p)*(p**3 - 2*p**3 - p**3). 498*p**4 - 2*p**3 Expand a**5 - 4*a + 4*a + (7 - 3 - 2)*(-6*a + 6*a - 3*a**5) - 3 + 2144*a + 6*a**5 - 2145*a + 14*a**4 - 4*a**5. -3*a**5 + 14*a**4 - a - 3 Expand (3*k - k**2 - 3*k)*(-k + 4*k - 2*k) - 199*k**2 + 40*k**3 - 197*k**2 + 397*k**2. 39*k**3 + k**2 Expand ((-408 - 387 + 716)*(1 + r - 1) + r + 3 + 3*r - 3*r)*(2 + 4 - 4). -156*r + 6 Expand ((0 + t + 0)*(-t - 3 + 3 - 4*t + 2*t + 3*t + (0*t + 3*t - t)*(-1 - 3 + 2)) + 9*t**2 - 8*t**2 + 18*t**2)*(-165*t + 165*t + 7*t**3). 105*t**5 Expand (-2 - 1 - 1)*(2 - 11 - 28)*(-2 + 2 + 2*g). 296*g Expand (1087*l - 3539*l - 6*l**2 + 362*l)*(-2*l**3 - 2*l**2 + 2*l**2). 12*l**5 + 4180*l**4 Expand (105 - 143 + 264)*(-6*o**4 + 6*o**4 - 10*o**4). -2260*o**4 Expand (w + 0*w + w)*(-w**2 + 0*w**2 + 3*w**2) - 2*w**3 + 2*w**3 - 8*w**3 + 295*w**3 + 95*w**3 - 168*w**3. 218*w**3 Expand -2*o**4 + 6*o**4 - 2*o**4 + (4*o**2 + 4*o**2 - 10*o**2)*(121759*o - 121759*o + 517*o**2). -1032*o**4 Expand (-6*j + 3*j + 2*j)*(-2*j**4 + 2*j**4 - 2*j**4) - 865*j**3 + 52*j**5 + 865*j**3 + (-2*j**2 - j**2 + 2*j**2)*(5*j**3 - 7 + 7). 49*j**5 Expand (40*i + 37*i + 0*i)*(-14 + 3 - 3). -1078*i Expand (3*x - 2*x - 4*x)*(1 + 0 + 2)*(-1340*x + 5493 - 5493). 12060*x**2 Expand (2 + 2 - 2)*(77*j - 16*j - 13*j) + j + 6 - 4*j - 1. 93*j + 5 Expand -2650663*n**3 - 49877*n**5 + 5*n**2 + 7*n**2 - 12*n**2 + 2650663*n**3 + (-1 + 1 + 2)*(n**5 + n**5 - 3*n**5) - 3*n**5 + 0 + 0. -49882*n**5 Expand ((0 - 1 + 0)*(-5 + 5 - 12) - 6 + 20 + 0)*(-3*j**3 + 2*j**5 + 3*j**3). 52*j**5 Expand (-10 + 4 - 40396*u**3 + 8895*u**3 + 6)*(-2*u**2 + 0*u**2 + 4*u**2). -63002*u**5 Expand (-3 - 3 + 4)*(-n + 3 - 3) - n - 5*n - n + (6*n + 3*n + 14*n)*(-4 + 5 + 1) + (0 + 0 - 1)*(4 - 4 - n). 42*n Expand (32*w**3 - 267 + 267)*(-410*w**2 + 103*w**2 - 119*w**2). -13632*w**5 Expand (-2 + 6 + 0 - u)*(-36*u + 120*u + 24*u)*(-u + 4*u - 2*u)*(-u**2 - 3*u**2 + 3*u**2). 108*u**5 - 432*u**4 Expand (-2*g + g + 0*g)*(-g - g + 3*g) + (2*g + 13 - 13)*(3*g + g - 2*g) + 432 - 216 - 218 - 6*g**2 + g. -3*g**2 + g - 2 Expand (482 + 1106*w - 482 - 100*w)*(-2 + 0 + 0)*(0 + 10 + 5). -30180*w Expand 17 + 21*s + 21 - 9 - 744*s**2 - 29 + (-1 + 2*s + 1)*(-s + 2 - 2) + 1 - 1 - s**2. -747*s**2 + 21*s Expand (-187 - 2427 + 722)*(q + 0*q - 3*q). 3784*q Expand (2*q**2 - q**2 + q**2)*(-1 - 1 + 0)*(-26 - 14 + 42) + 9*q + 0*q + 5*q + 2*q**2. -6*q**2 + 14*q Expand (-1 + 0 - 1)*((0 - 4 + 2)*(-2*h**3 + 2*h**3 - 3*h**4) - 22*h - 1336*h**4 + 22*h). 2660*h**4 Expand (0 - 3 + 4)*(-3*i - 4 + 4)*(-210 + 248 + 121)*(59 - 14*i - 59). 6678*i**2 Expand (-3 + 3 + 1)*(87 - 1 - 7)*(-2 + 1 + 3*p + 2*p). 395*p - 79 Expand (-2 + 914*j + 250*j - 594*j)*(3 - j**3 - 3). -570*j**4 + 2*j**3 Expand (16*o + 0*o - 8*o)*(-13*o - 38*o + 14*o). -296*o**2 Expand (25 + 7*q - 25)*(-8*q**2 + 2*q**2
{ "pile_set_name": "DM Mathematics" }
3651625 What is eleven quarters of a meter in centimeters? 275 How many kilograms are there in 7/2 of a tonne? 3500 What is 11/2 of a year in months? 66 What is 627.3003l in millilitres? 627300.3 Convert 31.54569 micrometers to millimeters. 0.03154569 How many millilitres are there in 533461.5l? 533461500 What is 21/2 of a tonne in kilograms? 10500 How many micrograms are there in three fifths of a milligram? 600 What is 0.3694394m in kilometers? 0.0003694394 How many millilitres are there in 47/4 of a litre? 11750 How many microseconds are there in 44.46809 minutes? 2668085400 What is 50942.03m in kilometers? 50.94203 What is 1.111463 days in microseconds? 96030403200 What is 40741.9 millennia in centuries? 407419 Convert 1985.6109 months to decades. 16.5467575 Convert 9.525643 centimeters to millimeters. 95.25643 How many hours are there in 77.12802 seconds? 0.02142445 Convert 2709.236 years to millennia. 2.709236 What is 0.8255363l in millilitres? 825.5363 How many litres are there in 0.4621995ml? 0.0004621995 What is 6/5 of a micrometer in nanometers? 1200 What is 21/2 of a litre in millilitres? 10500 Convert 8.824087 weeks to nanoseconds. 5336807817600000 What is 92.67739us in milliseconds? 0.09267739 What is 3/8 of a tonne in kilograms? 375 How many hours are there in eleven quarters of a week? 462 What is 66.42338g in kilograms? 0.06642338 What is 9019.791 millilitres in litres? 9.019791 How many tonnes are there in 222995.3kg? 222.9953 What is one tenth of a kilogram in grams? 100 What is 551.7416 weeks in nanoseconds? 333693319680000000 What is fourty-three quarters of a day in hours? 258 How many decades are there in 31719.77 years? 3171.977 What is twenty-one eighths of a litre in millilitres? 2625 What is 9/10 of a microgram in nanograms? 900 What is fourty-three halves of a second in milliseconds? 21500 What is 4.74274 hours in seconds? 17073.864 How many milliseconds are there in 479290.5 days? 41410699200000 Convert 2667680.73 seconds to days. 30.875934375 What is 42/5 of a meter in centimeters? 840 What is 47532.13 nanograms in tonnes? 0.00000000004753213 How many micrometers are there in 11/10 of a millimeter? 1100 What is eleven quarters of a millennium in decades? 275 What is 0.4505966 litres in millilitres? 450.5966 How many nanometers are there in 36.31155 millimeters? 36311550 What is 0.1043412 micrometers in nanometers? 104.3412 Convert 5785.609 kilometers to centimeters. 578560900 Convert 41.75581ml to litres. 0.04175581 How many hours are there in 38.29517 days? 919.08408 How many grams are there in 775.3228mg? 0.7753228 What is 0.5691087 litres in millilitres? 569.1087 Convert 54.08706 tonnes to milligrams. 54087060000 What is seventy-one fifths of a litre in millilitres? 14200 How many hours are there in 10/3 of a week? 560 How many months are there in 7/8 of a century? 1050 How many micrograms are there in 0.2859895kg? 285989500 How many months are there in thirteen quarters of a century? 3900 What is 6/5 of a milligram in micrograms? 1200 Convert 1185.111mg to micrograms. 1185111 What is one twentieth of a microsecond in nanoseconds? 50 What is 52.49238 litres in millilitres? 52492.38 How many millimeters are there in 6272.684 meters? 6272684 What is 122846.7 grams in tonnes? 0.1228467 How many grams are there in 4.658906ug? 0.000004658906 How many minutes are there in 31/2 of a day? 22320 Convert 1967185.71 seconds to days. 22.768353125 How many millilitres are there in seventeen quarters of a litre? 4250 How many millilitres are there in six fifths of a litre? 1200 What is 3/25 of a litre in millilitres? 120 How many grams are there in 633655.7mg? 633.6557 What is 3365.324 days in minutes? 4846066.56 What is twenty-seven halves of a microgram in nanograms? 13500 What is 946757.7 months in millennia? 78.896475 How many seconds are there in 658757.1 weeks? 398416294080 How many seconds are there in one fifth of a minute? 12 What is 2.3431233 months in decades? 0.0195260275 What is 1/72 of a hour in milliseconds? 50000 What is 1/16 of a century in months? 75 How many millilitres are there in 500.9326l? 500932.6 How many microseconds are there in 25/4 of a millisecond? 6250 How many micrometers are there in 1/4 of a centimeter? 2500 Convert 0.3824172 grams to kilograms. 0.0003824172 What is 290799.63 minutes in days? 201.9441875 What is 1/5 of a kilogram in grams? 200 What is 3/32 of a kilometer in millimeters? 93750 What is seventeen quarters of a meter in millimeters? 4250 What is seven halves of a meter in centimeters? 350 How many millimeters are there in 45/2 of a centimeter? 225 How many minutes are there in fifty-nine thirds of a hour? 1180 Convert 8253.963kg to grams. 8253963 How many milliseconds are there in 3.589077ns? 0.000003589077 How many grams are there in 11/2 of a kilogram? 5500 How many years are there in sixty-seven fifths of a century? 1340 What is 92129.9 days in minutes? 132667056 How many hours are there in fifty-three quarters of a day? 318 How many minutes are there in 65/3 of a hour? 1300 What is 26/5 of a litre in millilitres? 5200 Convert 7583.338 centuries to months. 9100005.6 How many litres are there in 6.5842 millilitres? 0.0065842 How many millilitres are there in 1/4 of a litre? 250 What is 5/4 of a millisecond in microseconds? 1250 How many decades are there in 2.5547346 months? 0.021289455 Convert 34.48328 kilometers to micrometers. 34483280000 What is 1/4 of a decade in months? 30 Convert 0.7354035 grams to nanograms. 735403500 What is 18/5 of a centimeter in millimeters? 36 What is 13/4 of a microgram in nanograms? 3250 How many micrometers are there in 1049.08km? 1049080000000 How many millimeters are there in 3/5 of a meter? 600 How many years are there in 3.71284 millennia? 3712.84 How many milliseconds are there in 2910.106 hours? 10476381600 What is 7/4 of a minute in seconds? 105 What is 1/4 of a tonne in kilograms? 250 How many micrograms are there in sixty-one halves of a milligram? 30500 How many decades are there in twenty-five quarters of a millennium? 625 What is one tenth of a meter in centimeters? 10 What is 211.0283 centuries in months? 253233.96 How many seconds are there in 1/6 of a minute? 10 What is 12/25 of a kilometer in meters? 480 What is eleven quarters of a litre in millilitres? 2750 How many months are there in seven quarters of a decade? 210 What is two ninths of a week in minutes? 2240 What is one quarter of a tonne in kilograms? 250 How many nanograms are there in fourty-eight fifths of a microgram? 9600 What is seventeen halves of a century in months? 10200 How many years are there in 37/2 of a decade? 185 How many litres are there in 235629.3 millilitres? 235.6293 How many grams are there in 5/8 of a kilogram? 625 Convert 43917.4 nanometers to meters. 0.0000439174 What is 31/5 of a litre in millilitres? 6200 How many minutes are there in seventeen sevenths of a week? 24480 How many milliseconds are there in 4732.02 hours? 17035272000 What is 73/5 of a centimeter in millimeters? 146 What is one tenth of a milligram in micrograms? 100 Convert 3798316.8 milliseconds to hours. 1.055088 How many millilitres are there in fourty-three quarters of a litre? 10750 What is 27/4 of a microgram in nanograms? 6750 How many millilitres are there in 8426.701l? 8426701 Convert 6.674888 hours to minutes. 400.49328 How many millilitres are there in three fifths of a litre? 600 How many seconds are there in 8393.806 weeks? 5076573868.8 How many decades are there in five quarters of a millennium? 125 How many nanograms are there in 0.1510849 grams? 151084900 How many years are there in 26/5 of a decade? 52 What is 4103.424 millennia in years? 4103424 How many decades are there in 260805.9 years? 26080.59 What is 4/3 of a week in minutes? 13440 How many nanoseconds are there in 537.5668 hours? 1935240480000000 What is 315852.8 millilitres in litres? 315.8528 Convert 553.2171 months to years. 46.101425 How many decades are there in 671852.6 centuries? 6718526 What is eleven quarters of a litre in millilitres? 2750 What is thirteen quarters of a litre in millilitres? 3250 What is 6.431719 litres in millilitres? 6431.719 What is 8/25 of a micrometer in nanometers? 320
{ "pile_set_name": "DM Mathematics" }
*(-v + 2*v - 3*v) - 3*v**2 + 4*v**2 - 2*v**2 - 6*v**2 + 6*v**2 + 3*v**2 - 2)*(v + 2 - 2). 4*v**3 - 2*v Expand (-7*q - 3 + 3)*(-5 + 1 + 3 - q). 7*q**2 + 7*q Expand -2*r**2 + 2*r**2 + 3*r**2 + (-2*r + 6*r - r)*(-r + r + 2*r) - 3*r**2 + 0*r**2 + r**2. 7*r**2 Expand (0 - 5 + 3)*(-34*g - 2*g + 21*g). 30*g Expand (-53 + 46 + 86)*(0*g + 0*g + 2*g). 158*g Expand 0*d**5 + d**5 + 0*d**5 + (3*d + d - 2*d)*(d**4 - d**3 + d**3) - d**5 - d**5 + d**5 - 9*d**2 + 9*d**2 - 21*d**5 + 2. -19*d**5 + 2 Expand ((0 - 1 + 3)*(-4*l + 0*l + 2*l) + 0*l + 7*l - 8*l)*(-3 + l + 3). -5*l**2 Expand (-2*z**2 + 4*z - 4*z)*(4*z - 1 - 2*z + 0). -4*z**3 + 2*z**2 Expand (-4 + 2*f + 4)*(-3*f**2 - 3 + 3)*(f - 4 + 4). -6*f**4 Expand -7*d - 5*d**2 + 7*d + (-2*d**2 + 0*d + 0*d)*(-5 + 2 + 4) - 1 + 0 + 12*d**2 - 13*d**2. -8*d**2 - 1 Expand 2*g**4 - 4 + 4 + (6*g**2 - 6*g**2 - 3*g**4)*(1 + 2 - 5) + (-3*g + g + 4*g)*(g**3 - 4*g**3 + g**3). 4*g**4 Expand (-2 + 4 + 5)*(-3 - r**3 + 3) + r**3 + 0*r**2 + 0*r**2. -6*r**3 Expand (-g**2 + g - g)*(-g**2 + 3*g**2 + g**2) - 6*g**4 + g**4 + 3*g**4. -5*g**4 Expand (-5*z + 4*z + 3*z)*(6*z + z - 4*z)*(-5 - 1 + 3). -18*z**2 Expand (2 + 0 + 0)*(3*b**2 + b**3 - 3*b**2) - 9*b + 5*b**3 - b**3 - 2*b**3. 4*b**3 - 9*b Expand -3*r**2 + 4*r**2 - 2*r**2 + 0*r**2 - r**2 - 2*r**2 + (0 + 2 + 0)*(-1 + r**2 + 1) + 3*r**2 - 2 + 2. r**2 Expand (b**3 - 4*b**3 + b**3)*(-6*b - b + 3*b) + (-2*b**2 - 9*b + 9*b)*(2*b**2 + 0*b + 0*b). 4*b**4 Expand (6*p**2 - 7 + 7)*(-1 + 1 - 3*p)*(-4 + 0 + 2) - 4*p**2 + 4*p**2 - 2*p**3 - 3*p. 34*p**3 - 3*p Expand (0 - 2*m + 0)*(-m + m + 2*m**4) + 0*m**5 + 3*m**5 + 0*m**5 + 3*m**5 - m**5 + m**5 + (-1 + 0 + 3)*(-3*m**5 + 2*m**5 - m**5). -2*m**5 Expand -3*t**5 + 2*t**5 + 3*t**5 + (4 + 2*t**2 - 4)*(2*t**3 + 4*t**3 - 5*t**3) + 12*t**5 - 4*t**5 - 7*t**5. 5*t**5 Expand (-m**3 + 3*m**3 - 4*m**3)*(0*m + 3*m - 5*m) + 11*m - 11*m - 2*m**4 - 4*m**2. 2*m**4 - 4*m**2 Expand i**2 + i**2 + i**2 - i**2 + 0*i**2 - i**2 + (3*i - 2*i - 2*i)*(-2 + 2*i + 2). -i**2 Expand (j**3 + 2*j - 2*j)*((-4 + 4 - 1)*(-3*j - 5*j + 2*j) - j + 3 - 3). 5*j**4 Expand -v**4 - v**4 + v**4 + (2 - 2 - 5*v)*(0*v**3 - v**3 - v**3). 9*v**4 Expand (27*u + 3*u - 9*u)*(2*u + 0*u - 3*u)*(-1 + 2 + 0). -21*u**2 Expand (44*c**2 - 25*c**2 - 8*c**2)*(3*c**2 + 2*c**2 - 3*c**2). 22*c**4 Expand (-2*p**3 + 8*p**3 - 2*p**3)*((0 + 0 + 1)*(-5*p + 4*p + 3*p) - p + 7*p - 2*p). 24*p**4 Expand 14*x**2 - x**2 + 2*x**2 + (3*x - 4*x + 3*x)*(2 - 2 + 3*x). 21*x**2 Expand 0*y + 4*y - 1 + 2*y + (1 + 1 - 1)*(-y + 3*y - y). 7*y - 1 Expand (-2 + 2 - 1)*(1 + 1 + 0)*(2 + 3 - 2*y - 4). 4*y - 2 Expand -4*q**5 + 2*q**5 + q**5 + (q**2 - 5*q**2 + 3*q**2)*(19 - 8*q**3 - 19) - q**4 + q**4 + 2*q**5. 9*q**5 Expand (l**2 + 2*l**2 + l**2)*(-6*l + 7*l + 2 - 4). 4*l**3 - 8*l**2 Expand (-4*r**3 + 4*r**3 - 2*r**3)*(8*r**2 - 4*r**2 + 8*r**2). -24*r**5 Expand (-2*n - 5*n + 0*n)*((4*n - 2*n - n)*(n - 6*n + 3*n) - 4*n**2 + n**2 + 4*n**2 - 2 + 2 - n**2). 14*n**3 Expand (0*p + p + p + 0*p - 3*p + 5*p + (2*p - 4 + 4)*(5 + 0 - 3) - 3*p + 2*p + 2*p + 5*p - 4*p + 0*p)*(-3*p**3 - p**3 + 5*p**3). 10*p**4 Expand (0*f + 2*f - f)*(-1 + 2*f**2 + 1) + (-3 + 7 + 3)*(-2*f + 3*f - 3*f)*(f - f + f**2). -12*f**3 Expand (-5 + 2 + 1)*(0*l + 4*l + 0*l)*(-2 - 1 + 2). 8*l Expand d**5 - 2*d**5 - 3*d**5 + (1 - d - 1)*(3*d**4 + d**4 - 3*d**4). -5*d**5 Expand (2*v**3 - 4*v**2 + 4*v**2)*(-2 + 3*v + 2) + 276 + 5*v**4 - 276. 11*v**4 Expand (2*s + 1 - 1)*(21*s**2 + 0*s**2 - 3*s**2) + 7*s**3 - 3*s**3 + s**3. 41*s**3 Expand (2*h - 3 - 4*h + 0)*(5*h**4 - 4*h**4 - 3*h**4). 4*h**5 + 6*h**4 Expand (-6 + 5*i + 6*i + 4)*(-i**3 + 2*i**3 - 3*i**3)*(-6 + 2 + 2). 44*i**4 - 8*i**3 Expand (-2*x**2 + 0*x**2 + 0*x**2 + (5*x - 5*x - 2*x)*(3*x - x + 0*x) + x**2 + 2*x**2 - 5*x**2 - 2*x - 2*x**2 + 2*x)*(-2*x + 3*x - 2*x). 10*x**3 Expand (-5*i + 3*i + 4*i)*(3 + 3*i - 3)*(-3 - 2*i**3 - 2*i**2 + 2*i**2). -12*i**5 - 18*i**2 Expand (-2*x - 3*x + 6*x)*(4*x**4 - 18*x**3 + 18*x**3)*(-5 + 0 + 4). -4*x**5 Expand (0*f + 2*f**4 + 0*f)*(2*f + 0*f + 0*f) - 78*f**3 + 78*f**3 + 55*f**5. 59*f**5 Expand (60 + 22*t**3 - 60)*(-2*t**2 + t**2 - t**2). -44*t**5 Expand (28*r + r - 1 + 13*r - 4 - r + 4 + (-r + r - 2*r)*(2 - 1 - 3) + 2 - 2 - 2*r)*(r - 3 + 1 + 1). 43*r**2 - 44*r + 1 Expand (-3*i + 2*i + 3*i)*(30*i**2 - 45*i**2 + 25*i**2). 20*i**3 Expand -4*r**5 - r**5 + r**5 + (0*r**4 - r**4 - r**4)*(4*r - 2*r - 3*r) - 5 - r**5 + 5 - 3*r**3 + 3*r**3 + r**5. -2*r**5 Expand (1 - 3 + 7)*(-5*n**2 + 4*n**2 - n**2)*(0*n + n + n). -20*n**3 Expand -53*z**2 - 12*z**3 + 53*z**2 + (-5*z + 2*z**2 + 5*z)*(4*z - z - z). -8*z**3 Expand (-3*y - 3*y + 5*y)*(-6*y + 2*y + 2*y). 2*y**2 Expand ((v**3 + 2*v**3 - 2*v**3)*(-3 + 2 - 1) + 3*v**3 - v**3 + 2*v**3)*(3 - 3*v - 2 + 4*v). 2*v**4 + 2*v**3 Expand (5 - 5 - 2)*(-7 + 6 + 3 + 3*u**2). -6*u**2 - 4 Expand (-3*d**2 + 3*d**2 + 2*d**2)*(-6 + 5 - 3). -8*d**2 Expand (2*x**3 - 6*x**3 + 2*x**3)*(0 + 0 - 2*x) + 2*x**4 - 6*x**4 + x**4 + 4 - 4 + x**4. 2*x**4 Expand (2 - 2 - 2*y)*(0*y - y**2 + 1 + 0*y). 2*y**3 - 2*y Expand (-3*l**2 + 3*l**2 + l**3)*(0 - 54*l**2 + 0) + (4*l**3 - 3*l**3 - 3*l**3)*(-l**2 - 2*l**2 + 4*l**2). -56*l**5 Expand (-2*v**3 + 0*v**3 + v**3)*(4 + 5 + 0). -9*v**3 Expand (-2*n**2 - 4*n**2 + 5*n**2)*(-n**3 + n**2 - 5*n**2 + n**2). n**5 + 3*n**4 Expand -n + n**3 + n + (n**3 - 3*n + 3*n)*(-2 - 1 + 5) - 2*n**3 + 2*n**3 + 4*n**3. 7*n**3 Expand ((-4*y + 0*y + 6*y)*(0*y + 4*y - 3*y) - 8 - 4*y**2 + 8)*(-y + 3*y + 4*y). -12*y**3 Expand (-5 + m + 11 - 4)*(-1 + m + 1). m**2 + 2*m Expand 0*x + 0*x - 2*x + x + x - x + (3*x - 3*x + 3*x)*(2 - 6 + 2). -7*x Expand (11*u**2 - 10*u**3 - 11*u**2)*(0*u + 2*u + 0*u) - 3*u**4 + 5*u**4 + 0*u**4. -18*u**4 Expand 8*j**5 + j**5 - 3*j**5 + (5*j - j - 2*j)*(2*j**4 - j**4 + j**4). 10*j**5 Expand ((-3 - 1 + 2)*(3*y**4 - 3*y**4 + 2*y**4) + (-4*y + 3*y + 2*y)*(-2 + 2 + y**3) - 2*y**4 - 2*y**4 + 2*y**4 - 2*y**4 + 5*y**4 - 4*y**4)*(0*y - 2*y - 2*y). 24*y**5 Expand (n**3 + 101*n - 101*n + 2*n**2)*(-4 + 1 + 2). -n**3 - 2*n**2 Expand (1 + 0 - 2)*(-4*u + 3*u + 6*u) - 4*u + 4*u - 5*u. -10*u Expand (-3 + 1 + 4)*(6 + h + 9*h - 8*h). 4*h + 12 Expand (-2*t - t + 5*t)*(-t - 12*t + 3*t + 5*t - 2*t - 5*t + (2 - 4 + 0)*(-5*t + 4*t + 3*t)). -32*t**2 Expand (4 - 3 - 3)*(s - 2*s + 0*s) + 3*s - 2*s - 4*s + (2*s + s - s)*(0 - 1 - 1) + 3*s - 3*s + 2*s. -3*s Expand (2*k - 8 + 8)*(2*k - 2*k**4 - 2*k + (-k**2 - 3*k**2 + 2*k**2)*(3*k**2 - 5*k**2 + 4*k**2)). -12*k**5 Expand l - 2*l**3 - l + (2 + 3 + 7)*(l**3 - l**3 - 2*l**3). -26*l**3 Expand 0*v**2 - 2 + v**2 + 4 + (3*v - 2*v + 2*v)*(4*v - 5*v - v). -5*v**2 + 2 Expand -5 + 2 + b + 0 - 3*b + 2*b + 0*b + 2 - 2 + 2*b + b - 4*b + 2*b + b + 3*b - 2*b + (-2*b + 2 - 2)*(0 - 3 + 1) + 0 - 2*b + 0. 5*b - 3 Expand (2 - 5 + 2)*(3*a - 5*a + a). a Expand -15*i**3 - 2*i**2 - 34*i**3 + 30*i**3 + (-i + 0*i + 0*i)*(0*i**2 - 3*i**2 + i**2). -17*i**3 - 2*i**2 Expand (-3*g + 3*g + g**2)*(g**3 + 3 - 3) + 13 - 13 + g**3 - 3*g**5. -2*g**5 + g**3 Expand (3*t**2 - 2 + 2)*(0*t + 0*t - 2*t) + (2*t**2 + t**2 - 5*t**2)*(-3 - 5*t + 3). 4*t**3 Expand (0 + j + 0)*(-j**4 - 2*j**4 + j**4) + 2*j**5 - 2*j**5 - j**5 + 4*j**5 - 4*j**5 + 2*j**5 - 2*j**5 + 5 - 205*j + 205*j. -3*j**5 + 5 Expand (3 + 2*w**2 - 3)*(-2*w**3 + 0*w**3 + 4*w**3) + 3*w**5 + 0*w**5 - w**5 - 17 + 4*w**5 + 17. 10*w**5 Expand (0 - 1 + 0)*(-7*n + 7*n + 13*n) + (3 + 0 - 5)*(n - n - n) + n - 6*n + 4*n. -12*n Expand (-l**5 - 3 + 3)*(-7 + 8 + 11) + (-l**3 - 1 + 1)*(-2*l**2 - 4*l**2 + 5*l**2). -11*l**5 Expand ((1 - 1 - 1)*(2*z - 2*z**4 - 2*z) + 3*z**4 + 7*z**3 - 7*z**3)*(1 - 4 + 1). -10*z**4 Expand (1 + 0 - 3 - f)*(-2 + 6 - 3) - 2*f + 3 - 3. -3*f - 2 Expand (-2 - 2*r + 2)*(r**3 + r**3 - 3*r**3) + 0*r**4 + 0*r**4 - r**4. r**4 Expand (r - r + r)*(-r - 4*r + 3*r) + (-r + 3*r + 0*r)*(-5*r + 3 - 3). -12*r**2 Expand (0 - 2 + 0)*(3*b**2 + 3*b**2 - 3*b**2)*(3 + 5 - 4) + 0*b**2 - b**2 - 2*b**2. -27*b**2 Expand (-2 - 1 + 1)*(4*d**3 + d**3 - 3*d**3) + 0*d**2 + d**3 + 3*d**2 + 3*d**2. -3*d**3 + 6*d**2 Expand -3*i**4 + 5*i**4 - 4*i**4 - 2 + (-15 + 24 - 12)*(-3*i**4 - i**4 + 2*i**4) - 3*i**4 + i**4 + 5*i**4 + i**4 - 2*i**4 + 4*i**4. 10*i**4 - 2 Expand (0*c**3 - c**3 + 4*c**3)*(-c + 4*c + 0*c)*(-3 - c + 5 + 0). -9*c**5 + 18*c**4 Expand (2 + y**2 + y**2 + y**2)*(6*y - 3*y + y)*(-3*y - y + 3*y). -12*y**4 - 8*y**2 Expand (-5 + 2 +
{ "pile_set_name": "DM Mathematics" }
*j = -3*y - 0*y - 6, -4*j = 3*y - 21. Suppose 3*k = -4*o + 21, k + j*k - 6 = 2*o. Calculate the least common multiple of o and i. 12 Suppose 5*i + 44 = -3*g + i, i = 5*g + 35. Find the common denominator of ((-2)/g)/(((-3)/(-54))/1) and -32/7. 14 Let p = -528530/33 + 16018. Calculate the common denominator of p and 19/99. 99 Let l = 207 + -202. What is the smallest common multiple of 19 and l? 95 Let p = 3250 - 97519/30. Calculate the common denominator of p and 83/33. 330 Let q = 1282 + -25629/20. Calculate the common denominator of -9/20 and q. 20 Let g = -5522/15 + 2279/6. Calculate the common denominator of 107/1044 and g. 5220 Let o(r) = -31*r**2 + 3*r + 14. Let i be o(-6). Let m be (i/165)/(1/78). Let v = m + 532. Calculate the common denominator of 23/8 and v. 88 Suppose -y + 48 = 2*r, 8*r + 3*y = 3*r + 120. What is the least common multiple of 40 and r? 120 Suppose -2*v - 57 - 42 = -5*r, 6 = 2*v. What is the lowest common multiple of r and 9? 63 Let q be (-108)/(-14) + (-8)/(-28). Find the common denominator of -1 + -1 - (-121)/16 and 68/q*2/14. 112 Let p be 2/6 - (12920/(-132))/2. Let n = p + -3857/66. What is the common denominator of n and -31? 6 Let z = -10 + 9. Let q be (-2 + z)*349/270. Let g = q - -412/45. What is the common denominator of -89/8 and g? 72 Find the common denominator of 24/(-308) + 2/(-7) and (-260)/8 + (-2 - 3). 22 Suppose 0*n = -3*n + 12. Suppose -4 = -2*m + n. Calculate the smallest common multiple of m and 10. 20 Let d be (0 - 2) + -4 + 70. Suppose -n - 3*s + 0*s + 24 = 0, d = 4*n + 4*s. Calculate the lowest common multiple of n and 18. 36 Let f(x) = -76*x**2 + 21*x + 5. Let d be f(15). Let t = 301891/18 + d. Calculate the common denominator of t and -87/22. 198 Let l = 6001/9 - 667. Find the common denominator of 95/42 and l. 126 Suppose 2*y - 35 = -3. Suppose -3*v = n - 7*v - 2, n + 2*v - 26 = 0. Calculate the lowest common multiple of n and y. 144 Let k = 5029510/91 - 55270. Calculate the common denominator of k and -151/78. 546 Let p be 129/(-9) + 2/6. Let v(m) = 8*m - 4. Let o be v(3). Let u = p + o. Calculate the lowest common multiple of u and 20. 60 Let j be 23*(0 - (0 - -1)). Let v = 1 - j. Let n(h) = -h**3 - 12*h - 30. What is the least common multiple of v and n(-2)? 24 Suppose 12 = -0*g + 2*g. Let p = 744 - 728. Calculate the least common multiple of g and p. 48 What is the common denominator of (-150)/(-108) + 8/(-6) + 1 and 11/164? 1476 Calculate the smallest common multiple of (-5)/(-1) - (-6 + 10 + -11) and 174. 348 Let v = -55/48 + 1171/48. Suppose f - 18*f - 18326 = 0. Find the common denominator of 2*(-2)/7 + 2471/f and v. 44 Let k(i) = -28*i**3 - i**2. Let q be 5/10*(0 + -2). Let m be k(q). Find the common denominator of 25/8 and (-1)/16*(-252)/m. 24 Suppose 1 = 3*l - 2. Let g(c) = -5*c + 9 + 14 - 5 + 3*c. Calculate the least common multiple of g(4) and l. 10 Let w = -16520683589117/6363 - -2596367064. Let n be (-1814)/(-909) - 20/10. Let l = w + n. Calculate the common denominator of -95/8 and l. 56 Let c = -1831/470 + 28/47. Calculate the common denominator of c and -22/5. 10 Let q = -5953 - -488079/82. Calculate the common denominator of q and 97/26. 1066 Let i be (910/(-39))/((-16)/(-1830)). Let x = 2646 + i. Find the common denominator of x and 1/6. 12 Let v = 115203/14 - 8236. Let s be ((-16505)/(-5501) - 0) + -3. Let f = 104507/33006 + s. What is the common denominator of v and f? 42 Let h = 3932 - 117881/30. What is the common denominator of h and -121/150? 150 Let j = -8567/2190 + 142/73. Find the common denominator of j and (-1825)/(-657) - 1/(-3). 90 Find the common denominator of 19/48 and (-215)/(-180) - 4/(-4). 144 Suppose j + 3*n = 4, 2*j - 4*n = -2*j - 48. Calculate the common denominator of -3 - (-2 - -13)*(-1)/j and 61/14. 56 Suppose -5*w = -3*c - 3*w + 101, 3*w + 12 = 0. Let m = c - 13. Suppose m = -3*l + 72. What is the lowest common multiple of l and 14? 126 Let r = 11 - 4. Let z(u) = u**3 - 6*u**2 - 8*u + 9. Calculate the lowest common multiple of 8 and z(r). 8 Let r = 37 - 19. What is the smallest common multiple of 16/(-72) - (-148)/r and 8? 8 Let o be (388/10 + -2)/((-27)/(-45)). Let t = o - 233/6. What is the common denominator of (22/16)/(6/(-28)) and t? 12 Let l(b) = 2*b**2 - 3*b - 8. Let o(a) = -3*a**2 + 4*a + 8. Let k(x) = -4*l(x) - 3*o(x). What is the lowest common multiple of 11 and k(0)? 88 Let a = -33/2 + 19. Calculate the common denominator of ((-56)/84)/(12/(-106)) and a. 18 Let h = -3040/11 - -47573/176. Calculate the common denominator of h and 52/11. 176 Let c be (-4 - -2 - -2)*-1. Suppose -4*f + 8*f = c. Suppose -14 = -2*j - f*j. What is the least common multiple of 2 and j? 14 Let p(b) = b**2 - 3*b + 2. Suppose -n = 4*n - 10. Suppose 3*a + n*a - 5*y = 25, -2*a + 4*y = -12. What is the lowest common multiple of p(a) and 2? 6 Suppose 2*j + 0 = -6. Suppose -u = -5*o + 43, 3*o = 4*o + 4*u - 17. What is the lowest common multiple of o and (2/j)/((-1)/9)? 18 Let h = -12113/390 - -1696/65. Let g = -36/139 + 4679/2502. What is the common denominator of h and g? 90 Let h(j) = -j**2 - 7*j + 4. Let b be (-9)/21 - 96/(-28). Let q be (7/(-2))/(b/6). What is the least common multiple of 6 and h(q)? 12 Suppose -3*h = g + 8, g + 3*g - 4*h = 0. Let n(t) = 0*t**2 + 3*t**2 + t - 2*t. Calculate the least common multiple of n(g) and 16. 112 What is the smallest common multiple of (-1060)/6*12/(-150)*15 and 5? 1060 Let g = 15557/4 - 3913. Find the common denominator of 212/(-36) - (-2)/(-1) and g. 36 Let k = 122641/24 + -5108. Let l = 624445/36 + -17344. Find the common denominator of l and k. 72 Let x = -166464 + 21973381/132. Find the common denominator of x and -55/36. 396 Let z be 875/(-98)*(-73)/10. Let d = 251/4 - z. Calculate the common denominator of d and ((-39)/(-8))/(10/24). 70 Let i(a) = a**2 + 51*a + 440. Calculate the lowest common multiple of 550 and i(-41). 1650 Let f = -21911 + 92661613/4229. Let t = -190581/194534 - f. Calculate the common denominator of 47/11 and t. 506 Let x be (-4)/(-6) - 80/(-24). Suppose -4*q + 288 = x*z, -z + 80 = 4*q - 4. Calculate the lowest common multiple of 18 and z. 612 Let b(g) be the second derivative of g**4/12 - 5*g**3/6 + 7*g**2 - 39*g. Calculate the lowest common multiple of 3 and b(8). 114 Let k(r) = 2*r**3 + 92*r**2 + r + 61. What is the least common multiple of 10 and k(-46)? 30 Suppose -y + 4*y = -4*a - 16, -2*a + 14 = -4*y. Let n be (-3 - y)/((-3)/129). Let t = -29 - n. What is the least common multiple of 22 and t? 154 Let m be 9/(-3 + (-22)/(-7)). Suppose -m*c + 32 = -59*c. What is the least common multiple of c and 12? 24 Suppose 5*q = 23 + 2. Suppose -v + q*v = 112. Suppose 13*w - 11*w + v = 0. What is the common denominator of -47/11 and w? 11 Calculate the common denominator of (-68)/(-68) + (-5)/(-6) and -103/12. 12 Suppose -2*q - 31 = -85. Suppose -22*i + q*i - 70 = 0. Calculate the lowest common multiple of i and 50. 350 Suppose -5*q = 25, -2*b - 4 = 5*q + 1. Calculate the smallest common multiple of b and 34/4 + (-3)/(-2). 10 Suppose y = 4*y - 6, 3*y + 12 = 3*f. Let b(n) = 4*n**2 - 27*n - 4. What is the lowest common multiple of b(10) and f? 126 Let l(b) = -6*b + 32. Let u be l(13). Find the common denominator of 97/8 and (9/(-1) - -8) + u/(-4). 8 What is the least common multiple of 3/(-2)*(88/(-12) + -14) and 88? 352 Suppose -v = 4*h - 36, 2*v + 14 - 86 = -3*h. Calculate the least common multiple of v and 2. 36 Calculate the common denominator of -29/88 and 524/22*8*(-14)/2240. 440 Find the common denominator of -19/110 and 7 + 325/(-45) - (-67)/(-630). 770 Let j = -1 + 5. What is the smallest common multiple of j and 420? 420 Let d = 752 + -674. Calculate the lowest common multiple of d and 2. 78 Suppose -3*d = 15, d = -2*k - 8 + 29. Let v(n) = 38*n - 5. Let f be v(k). Calculate the common denominator of -125/24 and -4 + 0 + f/18. 24 Let c(z) = 2*z**2 + 2*z + 1. Let s(m) = -m - 19. Let d be s(-18). What is the lowest common multiple of c(d) and 12? 12 Find the common denominator of -19/42 and -4 - 201/(-9) - (-3)/(-6). 42 Let a = 1734 - 34621/20. Calculate the common denominator of a and -19/22. 220 Suppose 5*n - 5*q - 239 + 19 = 0, -4*n + 212 = 5*q. Calculate the least common multiple of 42 and
{ "pile_set_name": "DM Mathematics" }
Sort h, -1, m. -1, m, h Let n = 1.7 + -26.7. Let b = n + 28. Sort b, 5, 1 in decreasing order. 5, b, 1 Let k = -25 + 25.46. Let q = k - 0.06. Sort q, 0.6, -0.4 in descending order. 0.6, q, -0.4 Let a be -3 + 0 + 3 + (-6 - -2). Suppose 3*n - 5*h + 19 = 0, 4*n - 4*h = n - 14. Sort n, a, 4 in increasing order. a, n, 4 Let s be 9 + (-2)/2 + 30/(-5). Suppose -3*q - 2*q - 15 = 0. Sort 0.3, s, q, 7. q, 0.3, s, 7 Suppose 0 = -3*b + 2*r + 10, 6*b - 5*b = -4*r - 6. Suppose -b*p = -3*g - g - 12, -5 = -3*g + 5*p. Sort 0, g, 4 in descending order. 4, 0, g Let y = 0.5 + 2.5. Let d = 43.41 + -43.91. Sort d, y, -1 in ascending order. -1, d, y Suppose -44*b - 87 = 45. Put 0, 4, b, 1 in decreasing order. 4, 1, 0, b Let l = -0.59 + 0.49. Put 26, l, -2/25 in descending order. 26, -2/25, l Let o = 12 + -10. Let x(p) = p**2 - 6*p + 8. Let u be x(5). Suppose u*j = -5*v - 24, -9 = -2*v - 0*v + 5*j. Sort o, 3, v in decreasing order. 3, o, v Let t be 14/4*(-4)/(-22) - 1. Let r = 1/33 + t. Sort r, -3, 6. -3, r, 6 Let q = -90 + 89.59. Let h = q - 18.59. Let d = h + 16. Put -1/4, d, -0.3 in decreasing order. -1/4, -0.3, d Let f = 16 - 14. Let z(b) = -b**3 - 2*b**2 - 4*b - 3. Let n be z(-2). Suppose -5*q - 3*d + 18 = 0, n*q - 6 = 2*q - 3*d. Put f, q, -1 in decreasing order. q, f, -1 Suppose 0 = -3*f - 3*n - 9, 4*n = 4*f - 3 - 9. Let t be (30/20)/(4/(-8)). Put f, 5, t in increasing order. t, f, 5 Let p = -19 + 21. Let m(r) = -2*r**3 - r**2 - r + 1. Let y be m(p). Let g = 17 + y. Sort -5, 1, g in increasing order. -5, g, 1 Suppose 70 = 7*z - 5*z. Suppose -8*b + b = z. Put 4, b, -1 in descending order. 4, -1, b Let s be (-3 + 1)/(3/(-12)). Suppose b + 3*b = s. Put 1, -1, b in decreasing order. b, 1, -1 Let t = 819 + -818.8. Let y = 13 + -15. Put -0.3, y, 3/7, t in decreasing order. 3/7, t, -0.3, y Suppose 0 = 3*j - 4*z - 0*z - 41, -2*z + 4 = 2*j. Put 0, j, 0.12, -5 in descending order. j, 0.12, 0, -5 Let h = 4476/166397 + -2/2161. Put -0.1, h, 3 in ascending order. -0.1, h, 3 Let z be 3/(-24)*110*1*-4. Put 1, z, -4 in descending order. z, 1, -4 Suppose 9 - 1 = 4*k. Sort -2, k, -0.6, 0.3. -2, -0.6, 0.3, k Let b = -18.3 + 4.3. Sort 0.1, b, 6 in decreasing order. 6, 0.1, b Let v = -12 - -12. Let p(m) = -3*m**3 + 29*m**2 + 8*m + 21. Let t be p(10). Sort t, v, -2 in ascending order. -2, v, t Let b = 3.76 - 0.66. Let q = b - 3. Let x = 673/2 + -337. Sort x, -3, q in decreasing order. q, x, -3 Let p = 90 + -53. Let t = -42 + p. Put -1/13, t, 1/2 in descending order. 1/2, -1/13, t Let f be (-1*(-3)/(-2))/((-93)/62). Put -31, 3, f, 4 in ascending order. -31, f, 3, 4 Let i = -190 - -1708/9. Let r = -10 + 3. Sort -2/15, i, r in increasing order. r, i, -2/15 Let f = 4514/5 - 902. Sort 0, f, 19 in ascending order. 0, f, 19 Let f = -6 - -7. Let w = 39 + -39. Put 2/3, w, f in increasing order. w, 2/3, f Let i(x) = -3*x**3 - 7*x**2 + 3*x - 5. Let u be i(-3). Sort u, -1, -97. -97, -1, u Let d = -176 - -177. Put -4, -3, -5, d in decreasing order. d, -3, -4, -5 Let v be -1 + 22 + 6 + -3. Let w = v + -21. Suppose 0 = 2*r - 3 + 9. Sort w, r, 5. r, w, 5 Let x be (-1 - -3) + 12/(-7). Let p = -2.713 + -0.127. Let w = p - 0.16. Sort x, -1, w. w, -1, x Suppose 20*k = 179 + 1. Let l = -4 + 0. Put l, k, -5, 2 in descending order. k, 2, l, -5 Suppose 5*z = 3*r + 32, 117*r + 8 = -2*z + 113*r. Sort -4, -142, z. -142, -4, z Let b(l) = -l**3 + 30*l**2 - 27*l - 58. Let r be b(29). Sort 7, 12, r in decreasing order. 12, 7, r Let w = -13.74 + 13.82. Sort 2/15, 3/4, -5, w in decreasing order. 3/4, 2/15, w, -5 Suppose 5*c = -2*j - 39, 2*j + 5*c = 2*c - 49. Let b = j + 30. Let z be -2 + 4 + (-4)/(-4). Sort b, z, -1 in descending order. z, -1, b Let t = 11.72 + 0.28. Let l = t + -12. Let c = 0.46 + -0.06. Put -3/2, c, l in descending order. c, l, -3/2 Let h(a) = -2*a**2 + 84*a - 851. Let m be h(17). Suppose -6*w + 10 = -w. Sort m, w, -3 in decreasing order. w, m, -3 Let b(k) = -k**3 + 11*k**2 + k - 6. Let o be b(11). Suppose 5*j - o*c - 5 = 0, c + 2 = -3*j + 5. Let y(m) = 4*m**3 - 2*m**2 + m. Let x be y(j). Sort 0, x, 4. 0, x, 4 Let h = -33 + 32. Let m(f) = 5*f. Let r be m(h). Let j(t) = -5*t - 1. Let p be j(-1). Sort p, 2, r. r, 2, p Let n = -29.8 + 29.244. Let k = n + 0.056. Sort 4, 0.2, k in ascending order. k, 0.2, 4 Suppose -4*o + 2*q = -3 - 3, 3*q + 9 = -3*o. Suppose o*u = -19*u. Put 3, u, 6, -2 in ascending order. -2, u, 3, 6 Let v = 0.3 + -1.8. Let g = v - -4.3. Let d = 0.8 - g. Sort -2/3, -5, d in descending order. -2/3, d, -5 Let f = -11 - -12.2. Let q = f - -7.8. Let b = q - 5. Put b, -3, -3/4 in descending order. b, -3/4, -3 Let j be ((-1)/(-11))/(9/(18/(-1))). Put -1.5, 1.4, 5, j in descending order. 5, 1.4, j, -1.5 Suppose -5*n + 2*q = -216, q - 219 = -5*n + 4*q. Suppose 0 = -12*t + 5*t - n. Sort 1, t, -2 in ascending order. t, -2, 1 Let h = -6 + 5.5. Let b = 104.7 - 105. Put -4, b, h, 3 in descending order. 3, b, h, -4 Let k(t) = t**3 - t**2. Suppose -f + 2*x + 0*x = 25, -2*x = -4*f - 70. Let b = f + 16. Let p be k(b). Put p, -3, 4 in ascending order. -3, p, 4 Let f(h) = -6 - 25*h + 32*h - h**3 + 1 - 2*h**2. Let x be f(-4). Sort x, -3, -6 in ascending order. -6, -3, x Let h = -211/520 + 3/520. Sort -0.1, h, -4, -4/11 in descending order. -0.1, -4/11, h, -4 Let w = 31 - 36. Let a(s) = -s**3 - 4*s**2 + 3*s - 8. Let v be a(w). Sort v, 5, 10, 3 in decreasing order. 10, 5, 3, v Let n = -2.1 - -1.76. Let h = 0.07 - n. Let t = h - 0.01. Sort 3, t, -0.1 in descending order. 3, t, -0.1 Let n = 592 + -599. Put -2, 16, n in descending order. 16, -2, n Let d = -3.14 - -0.14. Let q = -35 - -54. Let w = 18.7 - q. Sort w, -4, d in increasing order. -4, d, w Suppose -w + 20 = -0*w. Suppose 2*t - 4*p = -w, -3*t = p + 39 - 9. Put -3, t, -5 in descending order. -3, -5, t Suppose -21*u + 183 = -18*u. Let a = u - 66. Put 4, a, 0 in decreasing order. 4, 0, a Suppose -2*v - 12 = 2*i, -2*i - i - 42 = -3*v. Let r be -1 + (-5)/i*-2. Sort -3, r, 1. -3, r, 1 Let i be (-308)/(-32) - 21/(-56). Put 0, i, 4, -5 in descending order. i, 4, 0, -5 Let y = -6 + 7. Let i(d) = -3*d - 20. Let x be i(-6). Put 0, y, x in decreasing order. y, 0, x Let m = 250 - 248. Put -3, 5, m, -7 in increasing order. -7, -3, m, 5 Let j be (-88)/66*((-3)/4)/3. Let o = -2/25 - -33/100. Sort o, 3, 2/3, j in decreasing order. 3, 2/3, j, o Let m be 4/(-10) + (-259)/(-35). Suppose 4 = 3*z + m. Let u be (-6 - z) + -3 + 5. Put 0.3, u, -1/3 in ascending order. u, -1/3, 0.3 Suppose -3*j - s = 0, -29*s = -5*j - 25*s. Put -2, -11, j, -3 in increasing order. -11, -3, -2, j Let c = -0.007 + 13.507. Let b = c + -17. Let u = b - -1.5. Sort 1, u, 3 in ascending order. u, 1, 3 Suppose 0*j - j + 2 = 0. Let x be (-21)/(-14)*((-16)/6)/(-1). Suppose 2*y = 4*o + 14, -x*o + j*o + 3*y = 5. Sort o, 4, 3 in increasing order. o, 3, 4 Let l(y) = y**3 - 6*y**2 - 7*y - 17. Let u be l(7). Let m(b) = -b - 14. Let f be m(u). Let c(a) = -a**2 - 6*a + 1. Let v be c(-6). Sort f, -2, v. -2, v, f Suppose -3*g + 0*k - 9 = 3*k, -3*g + 5*k - 25 = 0. Suppose -2 = -3*x + 7. Let q be 18/27*x*1. Put 0, g, q in descending order. q, 0, g Let i = 1070 + -1071. Put 0, i, 87 in ascending order. i, 0, 87 Let g = 393/5 + -79. Sort -5, -3, g, 1 in ascending order. -5, -3, g, 1 Let i = -16.76 + -1.34. Let k = i + 2.1. Let p = k + 16.3. Sort 6, p, -3. -3, p, 6 Suppose 2444 = -11*t - 977. Sort 1, -5, -2, t. t, -5, -2, 1 Let y = -0.11 + 5.11. Let n = -5 + 5.3. Sort 4, n, y in increasing order. n, 4, y Let m(p) = p**3 + 22*p**2 + 47*p - 189. Let f be m(-19). Put f, 51, 4 in increasing order. f, 4, 51 Let l = -7.78 - -1.78. Let w be 6/14*-1 + 0. Sort l, w, -3/2 in ascending order. l, -3/2, w Let k = 1.42 + -1.3. Let p = 22.12 - k. Let t = 22 - p. Put 2, t, 1 in descending order. 2, 1, t Let j = 128 - 133. Put 6, -4, j, -3 in ascending order. j, -4, -3, 6 Let l = 1219/4 + -305. Put l, 9, -0.2 in ascending order. l, -0.2, 9 Let z = 0.27 + 31.73. Let h = z + -30. Sort 0, h, 5 in descending order. 5, h, 0 Let p = 567 + -568. Sort 142, p, 5 in ascending order. p, 5, 142 Let l(d) = 9*d. Let m(b) = 26*b. Let k(c) = -14*l(c) + 5*m(c). Let a(u) = u - 1. Let z(s) = 3*a(s) - k(s). Let w be z(-5). Sort 3, w, 4. w, 3, 4 Let k = 8.72 - 8.6. Sort k, 10/3, 0 in descending order. 10/3, k, 0 Let x = -39.4 + 26.3. Let d = x - -
{ "pile_set_name": "DM Mathematics" }
= 11*c - 4. Calculate y(5). 51 Let u(l) = 17*l**2 - 2*l + 1. Give u(1). 16 Let g(i) = 2*i**2 - 11*i + 5. Calculate g(10). 95 Let z(d) = -d**2 + 14*d - 54. Determine z(6). -6 Let q(s) = 2*s**3 - s**2 + 10*s - 28. What is q(2)? 4 Let p(a) = a**2 + 16*a + 49. What is p(-8)? -15 Let v(q) = q**3 - 11*q**2 - 25. What is v(11)? -25 Let b(w) = -2*w**2 - 9*w - 3. Calculate b(-7). -38 Let n(b) = 8*b**3 + b**2. Determine n(-1). -7 Let d(t) = t**3 + 7*t**2 - 2*t - 6. Determine d(-5). 54 Let v(n) = 7*n - 21. Give v(3). 0 Let f(g) = 6*g**2 - g + 4. Determine f(4). 96 Let m(k) = 2*k**3 + 4*k**2 - 7*k - 10. Give m(-5). -125 Let m(l) = l - 3. Calculate m(-8). -11 Let o(g) = 2*g**2 + 17*g + 33. What is o(-5)? -2 Let c(v) = 2*v. Give c(-2). -4 Let x(l) = -l**3 - 10*l**2 - 14*l + 11. Determine x(-8). -5 Let r(v) = -4*v + 14. Give r(-6). 38 Let d(a) = 21*a + 110. Determine d(-5). 5 Let z(x) = -x**2 + 4*x + 2. Determine z(3). 5 Let j(m) = 57*m + 119. Determine j(-2). 5 Let w(t) = -t**3 + 13*t**2 - 11*t + 1. Give w(12). 13 Let t(g) = g**3 + 27*g**2 - 28*g - 7. Give t(-28). -7 Let n(l) = -2*l**2 + 8*l + 61. Determine n(-5). -29 Let t(n) = -49*n**2 - 2*n - 1. Calculate t(-1). -48 Let w(h) = h**2 - 3*h + 3. Give w(4). 7 Let b(y) = y**2 + 9*y + 3. What is b(-6)? -15 Let g(p) = -3*p**2 + 15*p + 5. Determine g(5). 5 Let q(k) = 11*k**2 + 1. Give q(-1). 12 Let k(o) = -2*o**2 + 4*o + 28. Determine k(-7). -98 Let o(b) = b**3 + 7*b**2 + 7*b - 17. What is o(-5)? -2 Let p(y) = 3*y**2 + y + 1. Determine p(-1). 3 Let i(t) = -14*t - 102. Determine i(-7). -4 Let i(w) = w**3 - 8*w**2 + 10*w - 5. What is i(8)? 75 Let m(q) = 4*q + 49. What is m(-4)? 33 Let y(q) = -2*q**2 - 92*q + 95. Give y(-47). 1 Let d(v) = 10*v**2 - 1. Give d(2). 39 Let u(t) = 2*t - 16. Calculate u(12). 8 Let r(i) = 2*i - 8. Determine r(9). 10 Let x(q) = 2*q - 4. Give x(-6). -16 Let q(j) = 9*j + 113. Determine q(-13). -4 Let n(y) = 2*y**2 + 10*y - 8. What is n(-8)? 40 Let z(p) = -p**3 + 12*p**2 - 2*p + 13. Give z(12). -11 Let w(x) = 13*x - 3. Give w(1). 10 Let f(s) = -s + 6. Determine f(1). 5 Let q(a) = 3*a**3 - a**2 - 1. What is q(-1)? -5 Let l(y) = y**3 + 10*y**2 + 57*y + 198. What is l(-6)? 0 Let g(f) = -f**3 - 32*f**2 + 70*f + 61. Determine g(-34). -7 Let z(b) = 2*b. Calculate z(-3). -6 Let o(z) = z**2 - 14*z + 31. Determine o(9). -14 Let q(r) = 2*r - 15. Calculate q(0). -15 Let w(r) = -r**3 - 10*r**2 - 8*r + 8. Determine w(-9). -1 Let c(s) = -s**3 - 34*s**2 - 66*s - 71. Calculate c(-32). -7 Let x(u) = -u**3 + 12*u**2 + 3*u - 2. Give x(12). 34 Let c(d) = d**2 - 5*d. Calculate c(5). 0 Let m(j) = -26*j**2 - 1. Give m(-1). -27 Let z(r) = 12*r + 343. Calculate z(-28). 7 Let t(w) = 2*w - 5. Calculate t(13). 21 Let s(y) = -y**2 - 20*y - 5. Determine s(-7). 86 Let u(g) = g**3 + 23*g**2 - g + 11. What is u(-23)? 34 Let w(i) = -30*i - 7. Calculate w(-1). 23 Let u(c) = -30*c. What is u(3)? -90 Let c(i) = -i**3 + 18*i**2 - 2*i + 22. Give c(18). -14 Let c(o) = 2*o**2 - 41*o + 23. Give c(20). 3 Let q(n) = n**2 + 13*n - 6. Calculate q(-16). 42 Let m(z) = -z**2 - 4*z + 7. Calculate m(-8). -25 Let b(o) = -o**2 + 4*o + 20. Give b(9). -25 Let q(s) = -s**3 - 9*s**2 - 7*s + 7. Calculate q(-8). -1 Let n(j) = j**3 + 5*j**2 - 6*j + 9. Give n(-6). 9 Let k(a) = 5*a + 57. Determine k(8). 97 Let h(j) = j**2 - 5*j - 9. What is h(7)? 5 Let w(x) = x**2 + 12*x - 3. What is w(-13)? 10 Let z(y) = y**3 - 8*y**2 + y - 7. What is z(8)? 1 Let g(c) = c**3 - 8*c**2 - 15*c + 42. What is g(8)? -78 Let k(f) = -11*f - 74. Calculate k(-3). -41 Let y(s) = 7*s**3 - 8*s**2 + 6*s + 1. What is y(1)? 6 Let l(x) = -x**2 - 4*x - 2. Determine l(-2). 2 Let x(f) = 5*f - 66. Determine x(12). -6 Let m(f) = -f**3 + 5*f**2 + 3*f - 20. Give m(6). -38 Let i(g) = 4*g + 11. Determine i(-6). -13 Let q(k) = 3*k**2 - 14*k + 6. Give q(4). -2 Let m(t) = -38*t + 213. What is m(6)? -15 Let q(p) = -p**2 - 10*p + 5. Determine q(-11). -6 Let n(u) = u**2 + 4. Calculate n(9). 85 Let w(a) = -8*a + 50. Give w(5). 10 Let m(r) = r**3 - 11*r**2 + 15*r - 64. Calculate m(10). -14 Let c(k) = k**2 - 18*k + 29. Determine c(16). -3 Let n(w) = w**2 - 6*w - 19. Give n(8). -3 Let x(b) = b**2 + 15*b - 1. Calculate x(-9). -55 Let k(r) = 2*r**2 + 11*r + 18. What is k(-2)? 4 Let v(r) = r**3 - 20*r**2 - 2*r - 4. Determine v(20). -44 Let z(u) = 4*u + 1. Determine z(-14). -55 Let l(a) = -2*a - 7. Determine l(-9). 11 Let n(f) = f + 18. What is n(-5)? 13 Let t(m) = -m + 10. Determine t(5). 5 Let w(x) = 34*x**2 + 443*x + 18. Calculate w(-13). 5 Let x(o) = -31*o + 1. Determine x(1). -30 Let m(j) = 3*j**2 - 72*j - 11. Determine m(24). -11 Let m(q) = -3*q + 64. Give m(26). -14 Let w(l) = l**3 + 6*l**2 + 4*l - 7. What is w(-6)? -31 Let k(r) = -r**2 - 3*r + 1. Determine k(2). -9 Let i(h) = -8*h**2 + 3*h - 4. Determine i(1). -9 Let q(i) = i**3 + 57*i**2 + 308*i + 14. What is q(-6)? 2 Let i(k) = -k**2 - 4*k + 2. Calculate i(-2). 6 Let l(a) = a**2 + 11*a + 17. What is l(-6)? -13 Let d(m) = m**2 - 6*m + 8. Determine d(7). 15 Let g(i) = 4*i + 29. Give g(-6). 5 Let q(d) = 5*d + 144. Determine q(-27). 9 Let f(y) = -y**2 + 2*y - 3. Determine f(2). -3 Let f(n) = -44*n + 13. Calculate f(2). -75 Let d(q) = 3*q + 26. Calculate d(-9). -1 Let u(g) = -g. Determine u(-10). 10 Let v(l) = l**2 - 5*l + 109. Determine v(0). 109 Let w(v) = v**2 - 15*v + 21. Give w(9). -33 Let w(a) = 11*a**2 + 15*a - 4. Give w(3). 140 Let x(q) = 22*q + 49. Calculate x(-8). -127 Let h(y) = 19*y - 194. What is h(9)? -23 Let j(r) = r**2 - 9*r. Give j(4). -20 Let j(y) = -10*y - 321. Determine j(-32). -1 Let d(i) = i**3 - 22*i**2 - 3*i + 55. Give d(22). -11 Let y(w) = -w**2 - w - 1. Calculate y(-2). -3 Let h(q) = q**3 + 12*q**2 - 12*q - 3. Calculate h(-13). -16 Let g(i) = -3*i**2 - 3*i + 8. What is g(5)? -82 Let v(z) = -z**3 + 10*z**2 - z + 126. Give v(11). -6 Let k(d) = 12*d**2 - d - 5. What is k(0)? -5 Let w(u) = u**3 + 7*u**2 + 11*u + 269. Give w(-9). 8 Let d(l) = 2*l**2 - 3*l - 88. What is d(7)? -11 Let w(l) = -15*l - 41. What is w(-1)? -26 Let k(t) = -t**3 + 2*t**2 - 4*t + 1. Calculate k(2). -7 Let n(c) = 3*c - 6. Calculate n(5). 9 Let z(q) = -q**3 - 5*q**2 + 24*q - 4. Calculate z(-8). -4 Let l(q) = q + 11. Give l(-6). 5 Let j(b) = b**2 - 18*b + 38. Calculate j(17). 21 Let f(p) = 2*p**3 + 1. Give f(1). 3 Let o(c) = 2*c**2 + 9*c + 7. Determine o(-7). 42 Let a(j) = -64*j - 522. Give a(-8). -10 Let y(g) = 4*g**2 - 2*g - 13. Calculate y(-2). 7 Let z(s) = 2*s**2 - 10*s - 24. Calculate z(6). -12 Let x(r) = 8*r - 297. Give x(40). 23 Let p(q) = 4*q**3 + 4*q**2 - q - 4. What is p(-2)? -18 Let a(s) = -2*s**3 - 3*s**2 - 3*s - 1. Give a(-3). 35 Let y(o) = 4*o**2 - 3*o + 5. Give y(-5). 120 Let y(l) = -5*l**2 + 50*l - 12. What is y(10)? -12 Let t(u) = -u**3 - 16*u**2 - 16*u + 2. Give t(-15). 17 Let q(v) = -248*v + 1981. Give q(8). -3 Let d(v) = 2*v**2 - 23*v + 61. Give d(6). -5 Let v(n) = -2*n**3 + n**2 + 3*n - 3. Calculate v(2). -9 Let q(u) = u + 1. Calculate q(-6). -5 Let f(y) = y**3 - 7*y**2 + 4*y - 7. Calculate f(7). 21 Let g(s) = -16*s - 80. What is g(-5)? 0 Let o(t) = -t - 29. Calculate o(0). -29 Let c(u) = 6*u - 2. Calculate c(2). 10 Let u(s) = -s**3 - 14*s**2 - 10*s + 31. Determine u(-13). -8 Let s(m) = m + 12. Calculate s(-13). -1 Let q(y) = -y**2 + 20*y + 18. Calculate q(11). 117 Let y(n) = -n**3 + 7*n**2 + 6*n + 4. Calculate y(8). -12 Let g(l) = l**2 - 24*l - 74. Give g(27). 7 Let q(z) = -13*z**2 + z. What is q(1)? -12 Let s(y) = 3*y**2 - 87*y + 8. Calculate s(29). 8 Let y(g) = -3*g**2 - 12*g - 8. Give y(-4). -8 Let i(m) = -72*m + 204. Determine i(3). -12 Let d(q) = -2*q**3 - 12*q**2 + q - 4. What is d(-6)? -10 Let c(k) = -9*k**3 + k**2. Determine c(1). -8 Let d(o) = 53*o**3. Determine d(1). 53 Let w(z) = -4*z + 23. What is w(12)? -25 Let b(f) = f**2 + 27*f + 38. What is b(-17)? -132 Let j(r) = 42*r + 21. Give j(3). 147 Let r(w) = 5*w**3 - 22*w**2 + 12*w - 4. Determine r(4). 12 Let r(i) = -6*i + 163. What is r(26)? 7 Let u(n) = 5*n - 1. Calculate u(4). 19 Let z(u) = -2*u + 21. Determine z(8). 5 Let p(y) = y**3 + 12*y**2 + 10*y - 11. Determine p(-11). 0 Let w(x) = -8*x + 40. Give w(4). 8 Let o(v) = -11*v + 69. Determine o(7). -8 Let f(y) = 79*y + 393. What is f(-5)? -2 Let z(x) = 4*x + 16. Calculate z(-8). -16 Let h(s) = 9*s**3 + s**2 - 3*s + 2. Give
{ "pile_set_name": "DM Mathematics" }
the h'th term of 1606, 3311, 5112, 7009, 9002? 48*h**2 + 1561*h - 3 What is the n'th term of -10179, -10191, -10217, -10263, -10335, -10439, -10581? -n**3 - n**2 - 2*n - 10175 What is the l'th term of 1284, 2291, 3294, 4293, 5288? -2*l**2 + 1013*l + 273 What is the w'th term of -702, -823, -942, -1059, -1174, -1287? w**2 - 124*w - 579 What is the p'th term of 2089, 4171, 6249, 8323? -2*p**2 + 2088*p + 3 What is the y'th term of 59, 220, 485, 854, 1327? 52*y**2 + 5*y + 2 What is the o'th term of 968, 2085, 3356, 4781, 6360, 8093, 9980? 77*o**2 + 886*o + 5 What is the y'th term of -634, -2505, -5606, -9937? -615*y**2 - 26*y + 7 What is the j'th term of -3261, -13071, -29429, -52335, -81789? -3274*j**2 + 12*j + 1 What is the z'th term of -1279, -1261, -1243, -1225, -1207, -1189? 18*z - 1297 What is the j'th term of -1267, 500, 5301, 14654, 30077, 53088? 253*j**3 - j**2 - j - 1518 What is the p'th term of -664, -1385, -2108, -2833, -3560, -4289, -5020? -p**2 - 718*p + 55 What is the u'th term of -1199, -9802, -33211, -78830, -154063, -266314? -1234*u**3 + u**2 + 32*u + 2 What is the q'th term of -139, -443, -785, -1183, -1655, -2219, -2893, -3695? -3*q**3 - q**2 - 280*q + 145 What is the l'th term of -277, -1141, -2595, -4639, -7273, -10497? -295*l**2 + 21*l - 3 What is the q'th term of 3713, 3495, 3277, 3059, 2841, 2623? -218*q + 3931 What is the o'th term of -1551167, -1551166, -1551165, -1551164? o - 1551168 What is the p'th term of 133, 285, 433, 577, 717, 853, 985? -2*p**2 + 158*p - 23 What is the o'th term of 7890, 7888, 7888, 7890, 7894? o**2 - 5*o + 7894 What is the m'th term of -96, -172, -242, -318, -412, -536, -702, -922? -2*m**3 + 15*m**2 - 107*m - 2 What is the j'th term of -1304, -2553, -3804, -5057, -6312, -7569, -8828? -j**2 - 1246*j - 57 What is the y'th term of 21994, 22004, 22020, 22042, 22070? 3*y**2 + y + 21990 What is the b'th term of 764, 2502, 5398, 9452, 14664? 579*b**2 + b + 184 What is the o'th term of -216617, -433236, -649853, -866468, -1083081, -1299692? o**2 - 216622*o + 4 What is the g'th term of -2285, -2303, -2321, -2339, -2357, -2375? -18*g - 2267 What is the p'th term of -2925136, -2925137, -2925138, -2925139? -p - 2925135 What is the q'th term of -58, -471, -1604, -3823, -7494? -61*q**3 + 6*q**2 - 4*q + 1 What is the d'th term of 4076, 4200, 4300, 4370, 4404, 4396? -d**3 - 6*d**2 + 149*d + 3934 What is the t'th term of -5169, -5174, -5181, -5190, -5201, -5214? -t**2 - 2*t - 5166 What is the k'th term of -233614, -233615, -233616, -233617, -233618? -k - 233613 What is the u'th term of 2863, 2846, 2829, 2812, 2795? -17*u + 2880 What is the g'th term of 541929, 541931, 541933, 541935? 2*g + 541927 What is the c'th term of 111026, 222053, 333080? 111027*c - 1 What is the s'th term of 1288, 1407, 1604, 1879, 2232, 2663? 39*s**2 + 2*s + 1247 What is the f'th term of -2793, -2732, -2631, -2490, -2309, -2088? 20*f**2 + f - 2814 What is the a'th term of -2700, -2632, -2430, -2028, -1360? 11*a**3 + a**2 - 12*a - 2700 What is the w'th term of -1478, -1536, -1602, -1676, -1758, -1848, -1946? -4*w**2 - 46*w - 1428 What is the d'th term of 187, 410, 703, 1102, 1643, 2362, 3295, 4478? 6*d**3 - d**2 + 184*d - 2 What is the u'th term of -11299, -11302, -11305, -11308? -3*u - 11296 What is the y'th term of 22270, 22267, 22264, 22261, 22258? -3*y + 22273 What is the r'th term of -203, -789, -1767, -3143, -4923? -r**3 - 190*r**2 - 9*r - 3 What is the n'th term of -198, -459, -834, -1371, -2118? -8*n**3 - 9*n**2 - 178*n - 3 What is the w'th term of -722, -1443, -2178, -2933, -3714? -w**3 - w**2 - 711*w - 9 What is the i'th term of -2852, -5641, -8368, -11033, -13636, -16177? 31*i**2 - 2882*i - 1 What is the x'th term of -1066194, -1066197, -1066202, -1066209? -x**2 - 1066193 What is the y'th term of 2026, 4048, 6078, 8116, 10162, 12216? 4*y**2 + 2010*y + 12 What is the s'th term of 6595, 6579, 6555, 6523, 6483, 6435, 6379? -4*s**2 - 4*s + 6603 What is the m'th term of -421, -761, -1325, -2113? -112*m**2 - 4*m - 305 What is the n'th term of 45479, 45480, 45481, 45482? n + 45478 What is the j'th term of -15479, -30956, -46433, -61910, -77387? -15477*j - 2 What is the u'th term of 7, -7, -37, -77, -121, -163? u**3 - 14*u**2 + 21*u - 1 What is the g'th term of -30224, -30225, -30226? -g - 30223 What is the m'th term of -413, -433, -465, -509, -565, -633? -6*m**2 - 2*m - 405 What is the t'th term of -2230, -2155, -2080, -2005? 75*t - 2305 What is the a'th term of 1422660, 1422671, 1422694, 1422735, 1422800, 1422895, 1423026, 1423199? a**3 + 4*a + 1422655 What is the u'th term of -37209, -37222, -37241, -37266, -37297? -3*u**2 - 4*u - 37202 What is the p'th term of 12, 173, 612, 1467, 2876? 23*p**3 + p**2 - 3*p - 9 What is the z'th term of -2306, -2293, -2284, -2279? -2*z**2 + 19*z - 2323 What is the p'th term of -37945, -75876, -113807, -151738? -37931*p - 14 What is the j'th term of -2054, -4118, -6180, -8234, -10274, -12294, -14288? j**3 - 5*j**2 - 2056*j + 6 What is the h'th term of 543114, 1086228, 1629342, 2172456, 2715570? 543114*h What is the y'th term of -1756, -3328, -4900, -6472? -1572*y - 184 What is the n'th term of -3080633, -6161268, -9241903, -12322538, -15403173, -18483808? -3080635*n + 2 What is the y'th term of -169357, -169356, -169355? y - 169358 What is the k'th term of -301, -474, -647, -820, -993? -173*k - 128 What is the v'th term of -223, -1676, -5581, -13150, -25595, -44128? -202*v**3 - 14*v**2 + 3*v - 10 What is the q'th term of -1655, -1678, -1739, -1856, -2047, -2330? -3*q**3 - q**2 + q - 1652 What is the d'th term of -112, 12, 102, 140, 108, -12? -3*d**3 + d**2 + 142*d - 252 What is the j'th term of -28344, -56679, -85012, -113343? j**2 - 28338*j - 7 What is the w'th term of -1079, -2120, -3107, -4040, -4919, -5744? 27*w**2 - 1122*w + 16 What is the t'th term of 17968, 36015, 54146, 72367, 90684, 109103? t**3 + 36*t**2 + 17932*t - 1 What is the y'th term of 49178, 98354, 147530, 196706, 245882? 49176*y + 2 What is the y'th term of -3340, -13360, -30060, -53440, -83500, -120240, -163660? -3340*y**2 What is the n'th term of -492, -2013, -4554, -8115, -12696? -510*n**2 + 9*n + 9 What is the d'th term of -922, -983, -1044? -61*d - 861 What is the x'th term of -162, -608, -1338, -2352, -3650, -5232? -142*x**2 - 20*x What is the z'th term of 22279, 22257, 22235, 22213? -22*z + 22301 What is the j'th term of -3230, -12978, -29232, -51992, -81258, -117030? -3253*j**2 + 11*j + 12 What is the m'th term of -1049, -2034, -3021, -4010, -5001, -5994, -6989? -m**2 - 982*m - 66 What is the n'th term of 2843, 5673, 8503? 2830*n + 13 What is the j'th term of -278170, -556348, -834526? -278178*j + 8 What is the r'th term of 350, 1102, 2356, 4112, 6370? 251*r**2 - r + 100 What is the t'th term of -4218, -7837, -11456, -15075, -18694, -22313? -3619*t - 599 What is the s'th term of 14, 7, 2, 5, 22, 59, 122, 217? s**3 - 5*s**2 + s + 17 What is the x'th term of 904, 1841, 2776, 3709? -x**2 + 940*x - 35 What is the l'th term of 4276, 8472, 12666, 16858? -l**2 + 4199*l + 78 What is the d'th term of 3587, 3571, 3521, 3419, 3247, 2987, 2621? -3*d**3 + d**2 + 2*d + 3587 What is the z'th term of -1268, -2662, -4044, -5408, -6748, -8058, -9332, -10564? z**3 - 1401*z + 132 What is the h'th term of -165, -747, -1707, -3039, -4737, -6795, -9207? h**3 - 195*h**2 - 4*h + 33 What is the x'th term of -1008, -8151, -27566, -65397, -127788, -220883, -350826? -1024*x**3 + 8*x**2 + x + 7 What is the r'th term of -74, -200, -432, -782, -1262, -1884? -2*r**3 - 41*r**2 + 11*r - 42 What is the a'th term of -6910, -6908, -6906, -6904, -6902? 2*a - 6912 What is the s'th term of 385, 473, 715, 1189, 1973? 13*s**3 - s**2 + 373 What is the t'th term of -302, -463, -624, -785? -161*t - 141 What is the b'th term of 622, 1061, 1778, 2773, 4046, 5597? 139*b**2 + 22*b + 461 What is the z'th term of 1713883, 1713882, 1713881? -z + 1713884 What is the n'th term of -1165, -2117, -2647, -2545, -1601? 35*n**3 + n**2 - 1200*n - 1 What is the w'th term of 2494, 5034, 7560, 10066, 12546, 14994, 17404, 19770? -w**3 - w**2 + 2550*w - 54 What is the z'th term of -608, -1349, -3376, -7337, -13880? -108*z**3 + 5*z**2 - 505 What is the x'th term of 76869, 76870, 76871,
{ "pile_set_name": "DM Mathematics" }
f y? True Suppose -5*d + 36 = -3*d - 4*x, d + x - 3 = 0. Suppose -d*v + 41 + 3887 = 0. Does 9 divide v? False Is 4 - -810 - (-128)/(-32) a multiple of 84? False Let h be (1 + -1)/(8 - 9). Suppose h = -13*n - 6*n + 7448. Is 56 a factor of n? True Suppose -3*a = 4*a - 35. Suppose 14143 + 9572 = a*y. Suppose y = j + 16*j. Is j a multiple of 31? True Let k(f) = -3*f**3 - 2*f**2 + 3*f - 3. Let t be k(2). Let x = 101 + t. Does 8 divide x? True Let g be (-9)/(-15) + (-1)/10*6. Suppose -v = g, -7*v = 3*a - 4*v - 609. Does 29 divide a? True Let u(a) = a**3 - 12*a**2 + 4*a - 5. Let s be u(12). Is 5 a factor of (s + -47)/((-4)/50)? True Let v = -3100 + 4949. Does 109 divide v? False Let m be (-2680)/(-25) + 8/10. Suppose 5*y - m = 327. Suppose 0 = -2*o + 159 + y. Is o a multiple of 41? True Let b = 1 + 76. Suppose -k + b = -236. Does 13 divide k? False Let p be 19/(3/(-1) + 2). Let m = 784 + -771. Let k = m - p. Does 26 divide k? False Let k(o) = 14*o**2 - 5*o. Let j be k(-10). Suppose -2*w + 2*y = -j, -4*w + 2881 + 17 = -3*y. Is 15 a factor of w? False Suppose 2*t + 3 = -x, x - 3*x - 2 = 0. Let d be 166/83 + 6*t*107. Is ((-6)/4)/(2565/d + 4) a multiple of 12? True Let b(p) = 3*p**2 + 89*p + 61. Let l be b(-29). Suppose 8*r + 5*v - 1555 = 5*r, l*v - 15 = 0. Is 10 a factor of r? True Suppose -253771 - 105653 = -24*x. Is 52 a factor of x? True Let q(x) = 199*x**3 + 11*x**2 - 34*x + 139. Does 7 divide q(4)? True Let w = 77400 - 40847. Is 11 a factor of w? True Let n = 50696 + -30058. Does 22 divide n? False Let i be (-3 + -1)/8*12. Let k(g) = -22*g - 18. Let n be k(i). Suppose -154 = -4*s + n. Is 7 a factor of s? False Suppose -3 = t + 4*y, -t - 2*y + 1 = -0*y. Let s(j) = 22 - 8*j + 6*j**2 + 195 - 231. Is 50 a factor of s(t)? False Let g = -2931 + 5970. Is 42 a factor of g? False Let z = 98 + -84. Does 13 divide 1362/7 - ((-48)/z + 3)? True Let y be (34 - 3/3) + -1. Let k = y + -30. Is ((-16)/(-12))/k*1359/6 a multiple of 14? False Let t(k) = -k**3 + 12*k**2 - 12*k + 11. Let n be t(9). Let j = n + -14. Suppose 0 = -z - 1, z + 43 = -3*p + j. Does 5 divide p? True Let f(d) = 6*d - 21. Let b be f(4). Let i(s) = 6*s + 10*s**2 + 11*s**b - 3*s**3 - 7*s**3 + 22. Does 18 divide i(-7)? False Is 9 a factor of ((-630)/54)/(1*10/(-756))? True Is 8*((-2)/3 + (-1888)/(-6) + -2) a multiple of 24? True Suppose 61*a = 62*a - 5*p - 2100, 5*p = 2*a - 4190. Is 65 a factor of a? False Suppose -4437864 = -277*z + 1046736. Is z a multiple of 90? True Let u(i) = -i**3 - 3*i**2 + 45*i + 14. Let m be (-12)/(64/48 + (-2)/6). Is 14 a factor of u(m)? True Let c = -65 - -65. Suppose -694 = -2*o + g, c = -3*o + 6*g - 4*g + 1042. Is o a multiple of 28? False Let x be (-2 + (-14)/(-6))*(2 - 8). Let p be (-40 + (2 - 7))*x/6. Let u(f) = -f**3 + 16*f**2 - 4*f + 17. Is 25 a factor of u(p)? False Is (-23 + -4 + 26)/((-2)/5078) a multiple of 5? False Let k be 2/15 + 160849/195. Suppose -2177 = -4*o - k. Suppose 0 = 3*i + 6, -5*w = -3*i - i - o. Is w a multiple of 33? True Let h(d) = 5*d**2 - 32*d + 128. Let n be -5*(6 + -7)*(-2)/(-2). Is h(n) a multiple of 45? False Let i(g) = -3*g - 2. Suppose 0 = 4*j - 32 + 140. Let q be (126/j)/(2/3). Is i(q) a multiple of 19? True Let m(h) = 733*h - 2037. Is 23 a factor of m(6)? False Let c = -40326 + 67221. Is c a multiple of 205? False Let y(u) = -97*u - 10 - 20 - 44. Is 47 a factor of y(-9)? True Suppose -3*f = -3*y + 144, 0*f = 5*y + f - 234. Let r = 143 - y. Is 12 a factor of r? True Let j(a) = -a**3 + 4*a + 7. Let y be j(-3). Suppose -2 = -6*z + y. Suppose -z*x + 3*q = -21, -5*q + 0 = -5. Is x a multiple of 6? True Let u(r) = 3*r**2 + 90*r - 1134. Is u(31) a multiple of 51? True Suppose -3*k = 2*s - 3, 4*k + 4 - 8 = 5*s. Suppose 5*r - 5 = s, -667 = -4*x + 2*r - 105. Let c = -99 + x. Is 42 a factor of c? True Let g = 8340 - 1523. Does 17 divide g? True Let u be -1 - (184/4 - 2). Let r = 47 + u. Is -6*26/(-3)*2*r a multiple of 26? True Let s = 4 + -90. Let y = s + 86. Suppose -4*i + 258 + 404 = m, y = -5*i + 4*m + 817. Is 24 a factor of i? False Does 8 divide (-495)/(-198) + (2 - (-411)/2)? False Let i be 2 + (1 - 3) + -133. Is 24 a factor of (-4*1)/(14/i)? False Let i be 6 + (-20)/4 + -2 + 2. Let t be 20/5 + (-2)/i. Suppose -a + 85 = t*b, a - 2*b = -0*a + 65. Is 15 a factor of a? True Let z(t) = -28*t + 63. Let k(h) = 9*h - 21. Let o(q) = 11*k(q) + 4*z(q). Is o(-7) a multiple of 22? False Let v(o) = -o**2 + 7*o + 3. Let k be v(6). Suppose 2 = 11*n - k. Is n/3 + (4312/3)/8 a multiple of 18? True Suppose -2*m = m. Let q = 532 - 501. Suppose 3*t - 98 - q = m. Is 43 a factor of t? True Let b = 336 - 334. Is (4*b)/(9/216) a multiple of 6? True Let p(z) = -4*z + 19. Let n be p(0). Let k(q) = 34*q - n*q + q**2 - 2 + 7. Does 4 divide k(-15)? False Suppose 3*y - 266 = -4*v, -128 - 34 = -2*y + 5*v. Is 9 a factor of y/1 - (8 - 3)? True Suppose -16*c + 399 = 3*c. Suppose c*m = 13*m + 12864. Does 24 divide m? True Let t = -14177 - -33527. Is t a multiple of 25? True Let p be -2 + (0 - -71) - (-1 - 0). Let y = 75 - p. Is (152/(-8))/((-1)/y) a multiple of 14? False Let p = 258 - 412. Let v be (9/(-6))/(33/p). Is 17 a factor of (-2 + -2)/(-4) + v*10? False Let g = -12805 - -22489. Is 36 a factor of g? True Let v = -16631 + 25968. Is 7 a factor of v? False Let a(t) = -56*t - 66. Let u be a(-6). Suppose 268*i = u*i - 120. Is 45 a factor of i? False Let y(h) = h**3 + 38*h**2 + 11*h + 228. Is y(-8) a multiple of 20? True Let j(k) be the third derivative of 19*k**4/8 - k**3/2 + 11*k**2. Let a be j(-1). Let z = 78 + a. Is z a multiple of 6? True Let p be -2*12/(-8)*1. Suppose 4*l + 157 = p*y + 2166, 2*y - 10 = 0. Suppose 4*n - l = -2*r, -3*r = -n - 0*r + 130. Is 17 a factor of n? False Suppose 7159 - 3207 = 13*g. Is g a multiple of 6? False Let a(z) be the first derivative of -z**2 - 22. Let j be a(3). Is 14 a factor of (-502)/j - (-4)/12? True Let r = -43 + 45. Suppose r*t - 16*t + 42 = 0. Let w(q) = 3*q**2 + q + 8. Does 19 divide w(t)? True Let y(g) = 128*g - 262*g - 49 + 138*g. Is 34 a factor of y(22)? False Let q be (4/10)/1 + 30/(-75). Suppose q = u + 2*z - 770, 3*u + 7*z = 6*z + 2310. Is 14 a factor of u? True Let c = 1660 - 1460. Does 10 divide c? True Let q(p) = 15 - 15 + p**2 + 9. Let m be q(10). Let l = m + -95. Is l a multiple of 7? True Let h(c) be the first derivative of -c**3/3 - 21*c**2/2 - 20*c - 23. Let f be ((-8)/3)/((-210)/36 - -6). Does 30 divide h(f)? True Suppose -4*g + 5*p = -23734, -2*g + 0*g + 11880 = 4*p. Does 112 divide g? True Suppose -5*q - 10*q = -6315. Let f = q + -155. Is 23 a factor of f? False Let q be (8646/(-44))/(6/8). Let i = -149 - q. Does 22 divide i? False Suppose -24*i + 74*i - 23*i - 259146 = 0. Is 156 a factor of i? False Let n(r) = -r**3 + 6*r**2 - 12*r + 2. Let j be n(4). Is (12/j)/(-3 - (-123)/42) a multiple of 4? True Is 56 a factor of 11310 + (0 - 7/(7/(-2)))? True Let t = 259 - 260. Let o(f) = -349*f - 5. Does 39 divide o(t)? False Let z be (-1586)/14 - 6/(-21). Let p = -60 + 314. Let v = p + z. Does 47 divide v? True Let c = 7532 + -7395. Is c even? False Let a(t) = -t**3 - 85*t**2 - 67*t + 726. Does 23 divide a(-86)? False Suppose -u - 38 = -m, -4*m + 177 = u + 20. Suppose 14976 = m*o - 13*o. Is 36 a factor of o? True Let h = 2325 + -1262. Let n = h - 358. Does 47 divide n? True Let m(a) = -107*a - 5. Let i be m(-7). Is 12 a factor of ((-6)/(-8))/(39/26)*i? True Suppose 132 - 135 = -3*g, -3*g = 3*h - 47865. Does 23 divide h? False Let n = -51 + 57. Suppose 2*y + n = 5*y. Suppose -y*x + 66 = -2*i, 2*x + 2*i + 30 = 3*x. Is x a multiple of 4? True Let j be (48/(-56))/((-1)/(-21)). Is 94/5*(-3)/(j/15) even? False Let f(n) = n**3 + 10*n**2 - 12*n + 25. Let a be f(-11). Suppose a*g = 38*g - 18. Let u(m) = -m**3 + 11*m**2 - 15*m - 8. Does 4 divide u(g)? False Does 259 divide 4724016/192 - (24/64)/(2/(-4))? True Let r be (90/(-150))/(2/(-40) - 0). Let g be (5 + 0)*r/10. Suppose -350 = -g*k + 3*k + 5*p, -p = 5*k - 574. Is 28 a factor of k? False Let b be 33/22*(-6538)/3. Is b/(-8) - (-27)/(-144)*-2 a multiple of 6? False Suppose 7*x + 2298 - 26581 = 0. Suppose -x + 1033 = -3*b. Is 14 a factor of b? True Let z(w) be the first derivative of 3*w**3 + 21*w**2/2 + 64*w - 4. Is z(-4) a multiple of 31? True Suppose 1 = 4*h - 5*x, 4*h
{ "pile_set_name": "DM Mathematics" }
909065*z**2 wrt v? 2588761*z**2 What is the second derivative of -197415*k**4 + 17057*k + 3 wrt k? -2368980*k**2 What is the second derivative of -b**3*g + 8615*b**2*g**3 + b + 6440*g**3 wrt b? -6*b*g + 17230*g**3 What is the third derivative of -281*v**4 - 119*v**3 + 92*v**2 + 45*v? -6744*v - 714 Differentiate 2380549*a*h**2 - 32*h**2 + 39538 with respect to a. 2380549*h**2 Find the third derivative of -8*i**4 + 598*i**3*s**2 - 2*i**2*s**2 - 12*i**2 + 237*s**2 wrt i. -192*i + 3588*s**2 What is the third derivative of 533552*b**4 - 679562*b**2 wrt b? 12805248*b Find the third derivative of -580*l**5 - 28*l**4 - 37482*l**2. -34800*l**2 - 672*l Differentiate 31*k**2*l**3 - 3367*k**2*w + 30*k**2 - 45*k*l**3*w + 87*k wrt w. -3367*k**2 - 45*k*l**3 Find the third derivative of -2*g*j**3*t - 6*g*j*t**2 + 2*g*j*t - 4*g*t + j**3*t**2 + 48*j**3*t - 31*j**3 - 3*j**2*t**2 - j**2 wrt j. -12*g*t + 6*t**2 + 288*t - 186 What is the third derivative of 210062*n**3 - 12*n**2 + n - 1070? 1260372 Find the third derivative of 2*o**2*r**4 + 251*o**2*r**3 - 2*o**2*r**2 + 59*o**2*r - 1072*o - 68*r**3 wrt r. 48*o**2*r + 1506*o**2 - 408 Differentiate -106738*f - 91253 wrt f. -106738 Find the third derivative of -4*b*d**4 - 12*b*d**3 - 596*b*d - 6*d**4 - 3*d**3 - 2*d**2 wrt d. -96*b*d - 72*b - 144*d - 18 What is the third derivative of -34*a**3*d**2*p - 3*a**3*d*p - 30*a**3*p + a**2*d*p - 10311*a*d**2 - 2*d**2 + d wrt a? -204*d**2*p - 18*d*p - 180*p Find the second derivative of 400283*g*p**3 + 2*g*p - 32*g + 2*p**2 - 8102 wrt p. 2401698*g*p + 4 Find the second derivative of -8*c*h*p**2 - 2*c*h - 9*c*p**2 + 2*h*p**2 + 2207*h*p + 24*p**2 + p - 1 wrt p. -16*c*h - 18*c + 4*h + 48 What is the derivative of 216161*y**4 - 1284368? 864644*y**3 What is the second derivative of -3377*l*v**5 - 8*l*v**4 - 23*l*v + 11*l - v + 29 wrt v? -67540*l*v**3 - 96*l*v**2 Differentiate -19*j**2*l**2 + 12*j**2*l + 248*j*l**2 - 485544*l**2 with respect to j. -38*j*l**2 + 24*j*l + 248*l**2 What is the third derivative of 23238*b**5 + 6*b**3*l**3 - 4*b**2*l**2 + 2*b*l**2 + 16*l**3 + 29*l wrt b? 1394280*b**2 + 36*l**3 What is the first derivative of -104947*g - 67365 wrt g? -104947 Find the third derivative of -1115796*m*n**4 + 50*m*n**2 - 5*m*n + 3*n**2 - 3*n - 3 wrt n. -26779104*m*n What is the derivative of -710702*l**3 - 1477628 wrt l? -2132106*l**2 Find the second derivative of -133*b*k**2*y - b*k**2 + 3*b - 2*k**2*y - 10*k**2 + 36*k*y - 134*y - 1 wrt k. -266*b*y - 2*b - 4*y - 20 What is the derivative of 2*x**3 + 6500*x - 147588? 6*x**2 + 6500 Find the first derivative of -2001374*v + 532192 wrt v. -2001374 Find the second derivative of 11512*b**3 + 5*b**2 - 670378*b. 69072*b + 10 What is the first derivative of 7800*j**3*l + 589*j**3*x**3 + 2*j**3*x + j**2*x + l*x**3 + 10*x**3 + 16 wrt l? 7800*j**3 + x**3 What is the second derivative of 431457*t**2 + 310015*t wrt t? 862914 Find the second derivative of -43100*n**3*u**2 + 4*n**3*u - n**3 - n**2*u - 326*u wrt u. -86200*n**3 What is the second derivative of -662940*g*v**2 + g*v - 3*g - 8*v + 3992 wrt v? -1325880*g Find the third derivative of 4*c**2*k**6 + 2*c**2*k**4 - 14449*c**2 - k**2 wrt k. 480*c**2*k**3 + 48*c**2*k What is the second derivative of 3076223*f**3 - 709955*f wrt f? 18457338*f What is the derivative of 284287*x**2 - 6*x + 1962716? 568574*x - 6 Find the third derivative of -5*c**6 + 21839*c**5 - 181245*c**2 wrt c. -600*c**3 + 1310340*c**2 Find the third derivative of -391*z**6 - 56*z**3 + 47935*z**2. -46920*z**3 - 336 Find the first derivative of -493*f**3*j*m**2 + 23*f**3*j*m + f**3*m**2 - 3*f**2 + 15*f*m**2 + 21*f wrt j. -493*f**3*m**2 + 23*f**3*m Find the second derivative of -6*l**2*t**4 - 2*l**2*t - 1465*l*t + 8*t**5 + 11*t**2 wrt t. -72*l**2*t**2 + 160*t**3 + 22 Find the second derivative of -436642*p**4 + 348630*p wrt p. -5239704*p**2 What is the derivative of -15817*p**2 + 61078 wrt p? -31634*p What is the third derivative of -483*a**2*p**3 + 35572*a**2 + 2*a*p**3 + 4*p**3 - 2*p**2 wrt p? -2898*a**2 + 12*a + 24 What is the third derivative of -8*k**6 - 67*k**5 - k**4 + 29710*k**2 wrt k? -960*k**3 - 4020*k**2 - 24*k What is the second derivative of 325*a**2*y + 16*a**2 + a*y - 39*a + 8*y - 3 wrt a? 650*y + 32 What is the third derivative of 16*w**5 - 2918*w**4 + 2*w**3 + 2*w**2 - 22476? 960*w**2 - 70032*w + 12 Differentiate -1284272*m*q**3 - m*q**2 + 1028364*q**3 with respect to m. -1284272*q**3 - q**2 Find the third derivative of -335416*n**3 + 3*n**2 + 4*n + 1278 wrt n. -2012496 What is the derivative of 43*n**2*v**3 - 406*n**2 + 11*n*v + 22*n + 21*v**2 wrt v? 129*n**2*v**2 + 11*n + 42*v Find the second derivative of 180426*w**2*y**2 + w*y + 12687*w - 3*y**2 - 3*y wrt w. 360852*y**2 What is the derivative of -97657*b**2 + 50058 wrt b? -195314*b Find the first derivative of -18940*t**3*u**3 - 27*u**3 + u**2 - 11*u + 3 wrt t. -56820*t**2*u**3 Find the first derivative of 52753*p**4 - 67126. 211012*p**3 Differentiate -526797*i**3*v - 12*i**3 + 5911*i**2 with respect to v. -526797*i**3 Find the third derivative of 16*q**5 - 35*q**4 + 12*q**3 - 471937*q**2 wrt q. 960*q**2 - 840*q + 72 What is the third derivative of 18400*d**6 + d**2 - 3779*d + 7 wrt d? 2208000*d**3 Differentiate -2*d**2*j - 9317*d**2 - 72*j wrt j. -2*d**2 - 72 What is the derivative of -a**2*z**2 + 32804*a*z**2 + 3*a*z + 155806*z**2 wrt a? -2*a*z**2 + 32804*z**2 + 3*z What is the second derivative of -6580*j*n**2 - 2*j*n + 3*j + 5*n**2 + 113081*n wrt n? -13160*j + 10 What is the third derivative of b**3*u**3 - 115093*b**3 + 782*b**2*u**3 + 31*b*u**3 + 2*b*u**2 wrt u? 6*b**3 + 4692*b**2 + 186*b Find the third derivative of 2995280*c**2*s**3 + 2*c**2*s**2 - 40*s**2 - 2*s - 3622 wrt s. 17971680*c**2 Find the second derivative of 2*c**2*g*k**3 + 21120*c**2*k**3 + c*g*k**3 - 14*c*k**2 + 8*g*k**3 + 7*k**3 wrt c. 4*g*k**3 + 42240*k**3 What is the third derivative of 2492739*o**3 - 3*o**2 + 4*o + 4593? 14956434 What is the third derivative of -885923*u**4 + 9*u**2 - 36622*u - 2? -21262152*u Differentiate 10*k**3*r + 12*k**3 - 1733*r**2 + 222 with respect to r. 10*k**3 - 3466*r Differentiate -1039201*y**2 + 1556003 with respect to y. -2078402*y Differentiate 3*l**4 + 2*l**3 - 418*l**2 + 9*l - 345829. 12*l**3 + 6*l**2 - 836*l + 9 Find the first derivative of -10755*q*u**2*v**3 + 2*q*u - u**2*v**3 + 6*u**2 - 2*u*v**2 - 474*v wrt q. -10755*u**2*v**3 + 2*u What is the second derivative of -5*c*h**2*j**2 - 7*c*h**2 + 3*c*j - 9*h**2*j + 3134*j**2 wrt j? -10*c*h**2 + 6268 Find the second derivative of -72*k**3 - 24*k**2 + 2*k + 386 wrt k. -432*k - 48 What is the third derivative of -4119*b**6 + 3*b**5 - 11*b**2 + b - 2832 wrt b? -494280*b**3 + 180*b**2 What is the first derivative of -11364*a**3 - 2*a**2 + 18*a - 649187 wrt a? -34092*a**2 - 4*a + 18 Differentiate t*w*z - 2*t*w + 75*t*z - 209*t - 106*w*z + w + 6*z + 91 with respect to z. t*w + 75*t - 106*w + 6 Find the first derivative of 111732*c - 126892 wrt c. 111732 What is the third derivative of 17*o**4 - 9649*o**3 - 2*o**2 + 3*o + 61428? 408*o - 57894 Find the second derivative of 2*g**2*j**3*t**2 - 6*g**2*j*t - 5*g**2*t - 197*g*j**3*t + 98*g*t**3 + 51*t**3 wrt t. 4*g**2*j**3 + 588*g*t + 306*t Differentiate 11*g**4*s - 50*g**2*s**2 - 7*s**2 - 472*s + 3 with respect to g. 44*g**3*s - 100*g*s**2 What is the third derivative of -2*d*p**3 - 2*d*p**2 + 26662*p**3 + 9940 wrt p? -12*d + 159972 Find the second derivative of 9*d**3 + 2358*d**2 + 40640*d wrt d. 54*d + 4716 Differentiate 79*f**4*k - 410*f*k*r**2 + 4*f*k + k*r**2 - 3*k*r - 6823*k - r - 1 with respect to f. 316*f**3*k - 410*k*r**2 + 4*k What is the derivative of 2*r**4 + 428104*r + 165312 wrt r? 8*r**3 + 428104 Find the third derivative of 2*q**5 + 926*q**4 - 2*q**2 + q - 10559. 120*q**2 + 22224*q What is the second derivative of 19961*z**5 - 13011*z wrt z? 399220*z**3 What is the derivative of -5*b**2*o**2 + 2097*b**2 - 2*b - 3920*o**2 wrt o? -10*b**2*o - 7840*o Differentiate -123024*l - 202410 with respect to l. -123024 What is the first derivative of -19120*z - 12485 wrt z? -19120 What is the first derivative of -22*c**2*o**2 + 196*c**2 - 29*o**3 + 10 wrt o? -44*c**2*o - 87*o**2 Find the third derivative of 107606*p**4*r**3 - 2*p**4*r + 5*p**2*r**2 - 1
{ "pile_set_name": "DM Mathematics" }
+ 0) + (8*r + r - 2*r)*(-1 - 2*r**3 + 1). -18*r**4 Expand -2*v + v + 3*v - 5*v - 4*v - v + (3 + 1 - 2)*(-v - 3 + 3) - 2*v - 2*v + 5*v + 3 - v - 3. -10*v Expand 2*a + a - a + (-6 + 2 + 2)*(-4 + 4 + 2*a) + 0*a + 0*a + a - a + 3*a + 0*a. a Expand (3*s + 5*s - 11*s)*(1 + 2*s**2 - 1). -6*s**3 Expand (s**3 + 0*s**3 + s**3)*(2 + 0 - 4) + (s + 2 - 2)*(3*s**2 + 0*s**2 - 4*s**2) + 2*s**3 - s**3 - 4*s**3. -8*s**3 Expand (2*t + 3*t - 3*t)*(-2*t + 9*t - 2*t). 10*t**2 Expand (0 + 0 + i**2)*((-3 + 3 - i)*(-2 - 2 + 2) + 7*i - 29*i - 5*i). -25*i**3 Expand (2 - 2 + x - 1 + 1 + 2*x + (3 - 3 - 2*x)*(1 + 1 - 4) + 0*x + 0*x + 2*x - 3*x + 2*x - x)*(-11 + 11 - 7). -49*x Expand 0*p**2 + 2*p**2 - p**2 + (3*p**2 + 3*p**2 - 5*p**2)*(-6 + 10 - 8). -3*p**2 Expand (8*h - 2*h + h)*(-3*h**3 + h**3 + 4*h**3). 14*h**4 Expand (s - s + 2*s)*(0 + 3 + 0). 6*s Expand -61*p**3 - 41*p**3 + 20*p**3 + (p - p - p**2)*(-4*p + 4*p - p). -81*p**3 Expand (-1 - 1 + 0)*(20*w - 2*w - w). -34*w Expand ((-4 + 1 + 2)*(-21 + s + 21) - 2*s - 3*s + 4*s)*(-3*s**2 + 2*s**2 + 0*s**2). 2*s**3 Expand 2*m - 2*m - m**4 - 3*m + 3*m - 2*m**4 + (-m**4 - m**2 + m**2)*(0 - 3 + 2) + 4*m**2 + m**4 - 4*m**2. -m**4 Expand (3 + 1 - 2)*(0 + 1 - 2)*(1 + z - 1). -2*z Expand (-2 + 0*l + 2*l - l)*(l**4 + 0*l**4 + l**4). 2*l**5 - 4*l**4 Expand (2 - 2*r**3 - 2)*(-4 + r**2 + 4 - r**2 - 2*r**2 + 2*r**2 + (-4*r - 2*r + 4*r)*(0 + 0 - 2*r)). -8*r**5 Expand (-5*u - u + 4*u)*(0*u**3 - 3*u**3 + 5*u**3) + 4*u**4 - 3*u**4 + 0*u**4 - 4*u**4 + 4*u**4 + 2*u**4 - 68*u + 68*u - 11*u**4. -12*u**4 Expand 12 + 2*r**2 - 12 + (2 - 3 - 2)*(3 - 1 - 1)*((-3 - r**2 + 3)*(0 - 3 + 4) + 2*r**2 + 3 - 3). -r**2 Expand (p + 2*p - 5*p)*(-5 + 1 + 1)*(1 - 4 - 1). -24*p Expand (0*o + 2*o + o)*(12*o + 10*o - 13*o). 27*o**2 Expand (2 + 1 + 0)*(-1 - 5*i + 1). -15*i Expand -284 + 284 - 11*p + (0*p + p + 0*p)*(1 + 0 - 3). -13*p Expand (2*g - 1 + 0*g - g)*(g**2 + 5*g**2 + 4*g**2). 10*g**3 - 10*g**2 Expand (6*u + 0*u - 2*u - 6*u + 3*u + u - 4*u + 6*u - u - 3*u + 4*u + 0*u - 2*u + u + 0*u + (2 + 0 + 0)*(2*u - u - 2*u))*(-u + 4*u - u). 2*u**2 Expand (-3*g**4 - g**4 + 5*g**4)*(3 + 4 - 6) - 65 - 6*g**2 + g**4 + 65. 2*g**4 - 6*g**2 Expand (g + 226 - 222 + 0*g)*(2 - 1 + 0). g + 4 Expand 3*f**4 - f**4 - 6*f**4 + (f**2 - f**2 + f**2)*(-2*f**2 + 4*f - 4*f) + (-2*f - f + 5*f)*(2*f - 2*f + 2*f**3). -2*f**4 Expand (0 + 0 + 2*a)*(23 + 3*a - 23). 6*a**2 Expand (t + t + 0*t)*(t + 0*t - 2*t) - 7*t**2 - t**2 + t + t**2. -9*t**2 + t Expand (4*y**3 - 3*y**3 + 2*y**3)*(5 - 1 - 5)*(-47*y + 23*y**2 + 47*y). -69*y**5 Expand (-205 + 205 - 69*d)*(0*d**3 + 0*d**3 - d**3). 69*d**4 Expand (2 - 2 - z**3)*(-41 - 5*z + 41)*(1 + 2 - 5). -10*z**4 Expand 0*m - 2*m - 2*m + 7 - 2 - m + 2*m + (-2*m - m + 4*m)*(-1 + 4 - 1). -m + 5 Expand (4 + 2 - 3)*(5*w**2 - 11*w**2 + 9*w**2 + 6*w). 9*w**2 + 18*w Expand (2 - 1 + 0)*(6*o + 2*o - o) + 0*o + o - 2*o - 3 + 2*o + 3. 8*o Expand -35*a**4 + 6516*a**3 - 6516*a**3 + (0*a**3 - 4*a**3 + 2*a**3)*(a - 2*a - a). -31*a**4 Expand (4 + 4 - 6)*(-3 + z + 3) + (-3 + 3 - 3)*(-2*z + z - z). 8*z Expand -1 - 2*x**3 + 4*x**3 - 1 + (-3*x**2 + 5*x**2 - 4*x**2)*(-x + 2*x - 2*x) + x**3 - 3*x**2 + 3*x**2 + 2 - 2 - 2*x**3. 3*x**3 - 2 Expand (-5*a + 3*a - a)*(-5*a + a + 2*a)*(-2 - 2*a**2 + a**2 + 2*a**2). 6*a**4 - 12*a**2 Expand i**5 + 3*i**5 + 0*i**5 + (4*i**3 - 6*i**3 + 0*i**3)*(-i**2 + 3 - 3). 6*i**5 Expand -n**5 + 3318*n - 3318*n - 2*n**3 + n**2 + (n**2 - n**2 - n**2)*(4 + 2*n**3 - 4). -3*n**5 - 2*n**3 + n**2 Expand (3*k + 0 - 1 + 3)*(k - 5*k + k). -9*k**2 - 6*k Expand -2*z**3 - 6*z**3 - 2*z**3 - 3*z**3 - 3*z**3 + 5*z**3 + (-z**2 + 0 + 0)*(-z + 3*z - z). -12*z**3 Expand -2*r + r**2 + 2*r + (r**2 - 4*r**2 + r**2)*(-3 + 4 + 0) - 2*r**2 - r + r + r**2 + 21*r**2 - 5*r**2. 14*r**2 Expand -2*q**3 - q**3 + 2*q**3 + 0*q**3 - 2*q**3 + q**3 + (-2*q + q - q)*(-3*q**2 + 0*q**2 + q**2). 2*q**3 Expand (5*q**2 - 3*q**2 - q**2)*(-25*q**3 + 47*q**3 - 26*q**3). -4*q**5 Expand (274*y + 212 - 212 - y)*(-4 - 2*y**3 + 4). -546*y**4 Expand -2*l + 6*l - 3*l + (3 - 6 + 2)*(2*l - 7*l + 3*l) - 2*l + 3 + l - 2. 2*l + 1 Expand x**4 - 4*x**4 + x**2 + x**4 + (4*x**2 - 4*x**2 + x**2)*(x - 2*x**2 - x). -4*x**4 + x**2 Expand (-5*s**2 - 5*s**2 + 2*s**2)*(-s**3 + 2*s**3 - 2*s**3) - s**5 + 5*s**5 - 2*s**5. 10*s**5 Expand (0*s**2 + 5*s**2 - 4*s**2)*(2 - 1 + 0) - 5*s**2 + 2*s**2 + 4*s**2 + 37*s**2 - 18*s + 18*s. 39*s**2 Expand (-2*j + 8 - 8)*(-2*j**2 - 1 + j**2 - j**2). 4*j**3 + 2*j Expand (3*f + 3*f - 3*f)*(-6*f - 2*f**2 - f + 3*f). -6*f**3 - 12*f**2 Expand (-5 + 5 - 1)*(-s - s + 0*s)*(-5 + 6 - 3). -4*s Expand (-4 + 1 + 4)*(4*p**3 - 4*p**3 + 2*p**3) + 0*p**2 - p**2 - p**3 - 2*p**3. -p**3 - p**2 Expand (3*q - 2*q - 2*q)*(q + q - q) + 2*q**2 + 0 - 2 + 1. q**2 - 1 Expand (-2 - y + 2)*(-149 + 149 + 11*y**3). -11*y**4 Expand (-o - 3*o + 5*o)*(5*o + 5*o - 4*o)*(-1 + 5 - 3). 6*o**2 Expand 2*l**5 + 0*l**5 - 3*l**5 + (l**2 - 3*l**3 - l**2)*(-2*l**2 - l**2 + 4*l**2). -4*l**5 Expand -3*z**2 - z**2 + 2*z**2 + (z**2 + z**2 - z**2)*(-5 + 0 + 3) + 2*z**2 - 2*z**2 + 2*z**2 + (-5*z + 5*z - z)*(-z + 0*z + 3*z) - 4*z**2 - z**2 + 3*z**2. -6*z**2 Expand (1 - 5*u + 0*u + 4*u)*(8 - 2 - 1). -5*u + 5 Expand (-2*i + i + 2*i)*((0 + 0 - 3)*(-4 + 0 + 2) + 5 - 2 + 0). 9*i Expand 129 + 2*d**2 + 4*d**3 - 129 - 3*d**2 + 3*d**2 - 2*d**3 + (d - 4 + 4)*(1 - 1 + 2*d**2) + 2*d**3 + 3*d**3 - 3*d**3. 6*d**3 + 2*d**2 Expand -5*u**3 + 7*u**2 + u**4 - 7*u**2 - 2 + 2 - 2*u**4 + (-2*u + u - 2*u)*(1 - 2*u**3 - 1). 5*u**4 - 5*u**3 Expand (-n - 5*n**2 + 5*n**2 + 2*n**3 + 0*n**2 + 0*n**2 - 2*n**3 + (-n + n + 2*n)*(n**2 + n**2 - 4*n**2) + 1 - 1 + n**3)*(6*n - 5*n + 2*n)*(-1 + 4 + 12). -135*n**4 - 45*n**2 Expand -2*u**5 - 5 + 5 + (-3*u**4 + 2*u**4 - u**4)*(-5*u + 2*u - 2*u). 8*u**5 Expand -v + 0*v**5 + v**5 + v**5 + (-2*v**3 - v**3 + 2*v**3)*(-7*v**2 + 2*v**2 + 13*v**2). -6*v**5 - v Expand 0*c**5 + c**5 + c**5 - c**5 - 2*c**5 - 4*c**5 + (2*c**2 - 4*c**2 + 4*c**2)*(3*c**3 + c**3 - 6*c**3) - c**5 + 3 - 3. -10*c**5 Expand 9 - 9 + 8*j**4 + 3*j**4 + j**4 - 2*j**4 + 2 - 2*j**4 - 2 + (j + 3*j - 2*j)*(-2*j**3 - j**3 + j**3) + 0*j**4 + j**4 + j**4. 6*j**4 Expand (3*p + 2 - 1 + 0*p)*(-4*p**3 - 10*p**3 - 4*p**3). -54*p**4 - 18*p**3 Expand (-18 + 7 - q + 4)*(0*q**3 + q**3 + 2*q**3). -3*q**4 - 21*q**3 Expand -5*x**2 + x**2 + 5*x**2 + (0*x - x - x)*(3*x + 3*x - 3*x) + 3*x**2 + 2*x**2 - 3*x**2 + 3*x**2 - 3*x**2 + 3*x**2 + (-2 + 3 + 0)*(x**2 + 0*x**2 + 0*x**2). x**2 Expand (-2*p + 4*p + 0*p)*(-3 - 1 + 6) + 2*p - 1 + 1 + 3*p + 0*p - 2*p + 0*p - p + 0*p - p - 8 + 8 + (0*p - p + 3*p)*(-5 + 4 - 1) + 3 - 3 + p. 2*p Expand (2*y**2 + 1 + 5*y**2 - 6*y**2)*(y - y + y**2). y**4 + y**2 Expand (16 + 4 + 3 + 31)*(4*l + l - 3*l). 108*l Expand (0 - 3*l + 0)*(3*l - 5*l + l) - 7*l**2 + 2*l**2 + 3*l**2 + (-l - l + 0*l)*(-3 + 3 - l) + l**2 + 0*l**2 + 0*l**2. 4*l**2 Expand ((i**2 - 3*i**2 + i**2)*(4 - 4 - 2) - 3*i**2 + 4*i**2 + 0*i**2)*(i**2 - 2*i**2 - i**2). -6*i**4 Expand (3*b - b - 3*b)*(b - 5*b + 5*b)*(17*b**2 - 17*b**2 - 8*b**3). 8*b**5 Expand (-z**4 + 4*z - 4*z)*((-4 + 0 + 3)*(-2*z - 5*z + 4*z) + 2*z + 0*z - z). -4*z**5 Expand (-48 + 5*r + 48)*((-r**2 - r**2 + 0*r**2)*(-6 + 3 + 2) - 2*r + 0 - r**2 + 0). 5*r**3 - 10*r**2 Expand 0*z**3 + 0*z**3 - z**3 + (-317 - 16*z + 317)*(-z**2 - 3*z**2 + 5*z**2). -17*z**3 Expand (-2*a**2 + 1 - 2 + 3*a**2)*(2*a - 3 + 3)*(1 + 5 - 4). 4*a**3 - 4*a Expand (3 + 4 + 3*s - 4)*(-3*s**2 + 3*s**2 + 2*s**2)*(2*s - 2 + 2). 12*s**4 + 12*s**3 Expand (0*m**3 - m**3 + 3*m**3)*(2*m + 0*m + 0*m) - 4*m**4 + 3*m**4 + 2*m**4 + 4*m**4 - m**4 - m**4 + m**2 - m**2 + 5*m**4. 12*m**4 Expand (2*s**3 + 0*s**3 + 0*s**3 + (3*s**2 - 4*s**2 + 2*s**2)*(s + s + 0*s))*(2 + s - 2). 4*s**4 Expand (3 - 2 + 0)*(3*m - 3*m + 2*m)*(5 + 6 - 1). 20*m Expand ((0 + 2 + 0)*(-3*q + 3*q - q) - q + q - 2*q)*(-q + 4*q - 2*q). -4*q**2 Expand (34*d**3 + 55*d**2 - 55*d**2)*(-4*d**2 - 3*d**2 + 2*d**2). -170*d**5 Expand (0*y**2 - 2*y**2 + 0*y**2)*(y**2 + 8 - 8) + 14 + 4*y**4 - 14. 2*y**4 Expand -u**4 - 8*u**4 - 2*u**3 + 3*u**4 + (5*u**2 - 4*u**2 + 0*u**2)*(-u**2 - u**2 + 0*u**2) + u**4 + 2*u**4 - 4*u**4. -9*u**4 - 2*u**3 Expand (-2*b + 2*b - b**2)*(-b - 2*b + 2*b) - 5*b**3 - 4*b**3 + 5*b**3. -3*b**3 Expand (3*i - 2*i - 2*i)*(-i - 5*i + 3*i)*(3*i + i + 0*i). 12*i**3 Expand (-2 + 2 - 2)*(-12*x**4 - 4 + 4)*(x - 2
{ "pile_set_name": "DM Mathematics" }
s m(x) a composite number? True Suppose d + 5*j - 381 = 0, 3*j + 413 = -0*d + d. Is d composite? False Let c = 76 - 70. Is (((-14)/c)/(-7))/(1/2733) a prime number? True Suppose -g + 2*w = 6*w + 665, 5*g - 2*w + 3281 = 0. Let o = 1030 + g. Is o a prime number? True Is 1/(-2) + 1070541/102 composite? True Let q(o) = -1368*o - 26. Let b(t) = 684*t + 13. Let f(d) = 5*b(d) + 2*q(d). Is f(5) a composite number? False Suppose -2*q + 0*q + 1474 = 0. Suppose -f = -q + 68. Is f a composite number? True Let a be 3 + 6/3 + -2. Let h(v) = 9*v**3 + 0*v**a + 17*v**2 + 7 - 20*v**2. Is h(3) composite? False Let v(b) = -b**2 - b - 11. Let o be v(0). Let p(y) be the third derivative of -7*y**4/8 + 13*y**3/3 - 20*y**2. Is p(o) composite? False Suppose -19*p - 5832 = -22*p. Let h = p - 953. Is h prime? True Suppose -2*v + 1608 + 1750 = 0. Suppose -2*c = -v - 5431. Suppose -5*a + 1300 = -c. Is a a prime number? True Let v = 8 - 4. Let w(c) = 106*c + 8. Let g be w(v). Let p = 377 + g. Is p a prime number? True Let g = -31 + 51. Suppose -8*b = -4*b - g. Suppose b = -d, d = -0*v + 3*v - 440. Is v a composite number? True Suppose -q - 4*w + 12335 = -0*q, 2*q - 4*w = 24622. Is q a composite number? True Suppose 0 = -4*w + 42 - 6. Let x = -8 + w. Is 462/x - -2 - -3 composite? False Let l(o) = o**3 - 7*o**2 - o + 10. Let f be l(7). Suppose -2*v - 216 = -m + f*v, -2*v - 661 = -3*m. Is m prime? False Let u = -6 - -3. Let v be 1/u + 28348/57. Suppose 0 = 10*o - 3*o - v. Is o composite? False Suppose -3*f = -1 - 2. Is f*-3*2/(6/(-1191)) prime? False Let n be 2 + -2*(-4)/(-8). Suppose -n = -i + 3. Suppose -505 = -i*j + s + 328, -4*j = s - 839. Is j composite? True Let t be (-4)/14 + 23/7. Suppose -17 = -t*c + 49. Is c prime? False Let b = -675 + 1021. Is b composite? True Let p be (-30)/135 + 4/18. Let a = 3 - p. Suppose -3*r - 93 = -a*u, r - 93 = -3*u + 3*r. Is u a composite number? False Let l be 8/(2 - -2) - -2. Let g = l - 1. Suppose -260 = -2*v - 2*q + q, 2*q = g*v - 397. Is v prime? True Suppose -3*g + 19 = 10. Suppose 3*u = -2*u - 2*f - g, -5*f = 5*u. Is (-2661)/(-3) - 0/u a composite number? False Let k = -47 - -57. Suppose -6244 = -k*s + 14746. Is s a prime number? True Suppose 6995 = 2*b - 28343. Is b a prime number? True Let x = 20928 + 14615. Is x a prime number? True Suppose -3*f + 3*m - 2*m + 91078 = 0, -5*m = 5*f - 151790. Is f a composite number? True Is ((-24185)/15 - -5)*12/(-8) a composite number? False Let z = 554 - 28. Let u = z - 233. Is u prime? True Suppose -40*o + 35*o - 4*a = -57957, -5*o - 5*a + 57955 = 0. Is o a prime number? True Suppose 3*j - 4*j + 4472 = x, 2*x - 3*j = 8939. Is x composite? True Let p(c) = -2*c**2 + 7*c - 5. Let x be p(4). Is (-1451)/x + 2/(-9) a prime number? False Let l(v) = -13*v - 25. Let n(a) = -13*a - 26. Let p(o) = 6*l(o) - 5*n(o). Is p(-7) prime? True Suppose -7*f = -6*f + 5. Let u(c) = c**3 + 6*c**2 + 6*c - 1. Let z be u(f). Is (226/z)/(7/(-21)) a prime number? True Let c = -1446 - -2989. Is c prime? True Is -10 - (1442650/(-10))/11 a prime number? False Let c(g) = -g**2 - g + 3. Let d = 1 - 4. Let w be c(d). Is (18 - 0)*(-1)/w composite? True Suppose 0 = 5*k - 3*g - 8, -3*k + 4*g = -0 + 4. Is 1/(-2) - ((-943)/2 + k) a prime number? True Suppose -10*m + 7*m = -14730. Is (m/15)/(8/12) a prime number? True Suppose 16*f = 12*f + 3356. Is f prime? True Suppose -8*m = -4*m. Suppose m = 2*c - 462 - 302. Is c a composite number? True Let d(y) = 7271*y - 56. Is d(5) composite? False Suppose 3*a - 6470 = 5*o, -a - 3*a = 4*o + 5144. Let t = -818 - o. Is t prime? False Let s = 6144 + -2017. Is s prime? True Let d(l) be the third derivative of -2089*l**4/24 + 16*l**3/3 + 26*l**2. Is d(-3) a prime number? True Suppose -4*c = -5*z - 39, 9 = -c + 5*c + 5*z. Suppose -29 = -j - 2*y, 9 = 3*y - c. Is j a composite number? False Suppose 5*m - 5*a = 13430, -3*a + 1406 = m - 1260. Suppose 0 = 6*u + m - 7151. Is u composite? True Let c(m) = m**2 - 10. Let a be c(4). Is ((-3466)/(-3))/(a/9) a prime number? True Suppose 0 = 3*j - 4*v - 17959, 16 = -8*v + 4*v. Is j a composite number? False Let z(x) = -4*x - 27. Is z(-10) a prime number? True Let m be 2/(3 + 7/(-3)). Suppose -5*g - 5*a + 382 = -3*g, m*a = 0. Is g composite? False Suppose -4*q - 14*q + 579222 = 0. Is q prime? False Let s(j) = -3*j**3 + 38*j**2 - 34*j**2 + 3*j + 4*j**3 + 1. Let t be s(-2). Suppose -5*x = 2*o - 753, t*o = 4*o + 2*x - 377. Is o prime? True Is 43 + -38 + (0 - -6391 - 1) a composite number? True Let v = -825 + 1203. Let k = v + 31. Is k composite? False Suppose -27*n - 3*u - 844888 = -32*n, -5*n = 3*u - 844882. Is n a prime number? True Suppose 7*n = 4*n + 4*x + 17, 0 = 5*n - 2*x - 19. Suppose n*g - 3*w = 3723, -3*g - 2*g + 4*w + 6202 = 0. Is g composite? True Let j = 2070 - -1181. Is j a composite number? False Let i = 4 - 10. Let m be 8/(-48) + (-31)/i. Suppose -172 = -m*n + 3*n. Is n a prime number? False Let m(f) = -f**3 + 8*f**2 - 1. Let q be m(8). Is q/(-4 - (-156)/40) composite? True Suppose 15 = -b - 4*b. Let y be 100 + b - 12/(-3). Is y - 2*(2 + 0) composite? False Suppose 3*d + t - 47 = 0, -2*d + 6*d - 64 = -2*t. Suppose -d*z + 17*z = 10. Suppose 5*o = z*a + 1085, 4*a - 311 = -3*o + 312. Is o a composite number? True Suppose -h - 3 = 0, 2*l + 95 - 1682 = -h. Suppose 0*q + l = 5*q. Is q a composite number? True Let t(c) = -21*c + 6. Let f be t(-7). Let j = f - 102. Is j a prime number? False Let c = 64 + -64. Suppose 2051 = f - 4*l - 1464, f - l - 3512 = c. Is f prime? True Let y(t) = t**2 - t - 5. Let j be y(-5). Let f be 10/4*20/j. Suppose -170 = -2*x + p - 0*p, -f*p = x - 95. Is x a prime number? False Suppose -b = -70080 + 26357. Is b a composite number? True Suppose -11043 = -3*l + 4*c + 12836, 0 = 3*l + 3*c - 23886. Is l a composite number? True Suppose 67*r + 21455 = 72*r. Is r a composite number? True Is 10542/7 + ((-2)/(-2) - 0) a prime number? False Let i = -11398 + 20441. Is i a prime number? True Let f(m) = 38*m**3 + 5*m**2 - 2*m + 27. Is f(4) composite? False Suppose -7*g + 10237 = q - 4*g, -4*q = -g - 40974. Is q a prime number? True Let w(n) = n**2 + 8*n + 4. Let f be w(-8). Suppose -4*q + 4*y - 76 = 0, q + 16 + 23 = -f*y. Let p = q - -54. Is p a composite number? False Let r(k) be the third derivative of k**5/12 - k**4/3 - 5*k**3/6 - 4*k**2. Is r(6) a composite number? False Suppose 0*b + 148 = b. Let h = -1155 + b. Let r = h + 1972. Is r composite? True Let m = 8 - 5. Suppose 3*o + 4*c - 23 = -0*o, -5 = -m*o + 5*c. Suppose -4*k - 3*z = -637, 2*k - o*k = -4*z - 509. Is k composite? False Let a(w) be the second derivative of w**3/6 + 11*w**2 + w. Is a(-7) composite? True Suppose 264 = 3*l - 417. Let z = 399 - l. Suppose -7*j = -3*j - z. Is j a prime number? True Let x(t) = -t**3 + 5*t**2 + 4*t - 4. Let z be x(3). Is z/(-117) - 605/(-9) prime? True Suppose 0 = -5*t + 2*c + 4366, 5*c + 2373 = 2*t + 635. Suppose 4*y - t = 454. Suppose -i + y = 3*i. Is i a prime number? True Let p be 1*(-4)/(-2)*2. Let l be (2/4)/(p/24). Suppose 3*d + 938 = 4*s, -4*s + 0*s = l*d - 926. Is s a composite number? False Let m be -1 + (-5)/5*-176. Let b = m - 96. Is b composite? False Let d(y) = 31*y - 10*y + 29 - y + 25*y. Is d(18) a composite number? False Let u(x) = -x + 4. Let f be u(8). Is ((-5574)/(-9))/(f/(-6)) prime? True Suppose -11992 = -4*k - 2*o, 5*k - 10895 = 5*o + 4110. Is k a composite number? False Let z be (-7)/4 - 25/100. Is (-2 + 1)/((-4203)/(-2103) + z) a composite number? False Let w = 37181 + -14718. Is w a prime number? False Let t be (-20)/30*(-5271)/2. Suppose -6*k - t = -13*k. Is k a composite number? False Let d(t) = -369*t - 81. Let u(c) = -23*c - 5. Let l(j) = -2*d(j) + 33*u(j). Let p be l(-5). Suppose -3*n + p = -99. Is n prime? True Is (-1416308)/(-44) + 84/462 prime? True Suppose 3*f + h - 27054 = -2*f, -4*f - h = -21643. Is f composite? True Let k(f) = 442*f - 7. Is k(2) a prime number? True Let s = 12724 - -15739. Is s a composite number? False Suppose -q = -3*p + 11, -5*p + 7 = q - 14. Let k be 15 + -8 + (q - 4). Suppose 4*a = -2*l + 150, -5*l - k*a + 450 = -9*a. Is l prime? False Let d = 139 + -76. Let z = d - -44. Is z + (-6 - -1 - -1) prime? True Let g be 34/4 + 1/(-2). Let p(k) = g - 1 + 3*k**2 - 3*k + k**2 + 4. Is p(10) compo
{ "pile_set_name": "DM Mathematics" }
the third derivative of q**2 - 7*q**6 - n*q**5 + 13*q**5 wrt q? -840*q**3 Suppose 0*z = 2*z - 8. Let i(n) = -7*n - 1. Let d be i(-1). What is the third derivative of p**2 - z + 4 - p**d wrt p? -120*p**3 Let d(u) be the second derivative of 14*u**6/15 + u**2 + 32*u. What is the derivative of d(w) wrt w? 112*w**3 Let z(w) = -5*w. Let p(b) = b. Let j(l) = 4*p(l) + z(l). Let u(h) = -14*h - 2. Let x(d) = 5*j(d) - u(d). Differentiate x(t) with respect to t. 9 Let t(m) = -3*m**2. Let j = 0 - 0. Suppose 0 = k - j + 2. Let h(b) = b. Let v(q) = k*h(q) - t(q). Find the second derivative of v(s) wrt s. 6 Let d = 11 - 8. Suppose -t + 4*t - 21 = -d*h, 5*t - 33 = -4*h. What is the derivative of -x**2 - 5 - x**h + 7 wrt x? -4*x What is the second derivative of -5*k**4 + k - 2*k**4 + 3*k**4 - 9*k wrt k? -48*k**2 Let d(o) be the third derivative of 2*o**5/15 + o**3/2 - 5*o**2. What is the first derivative of d(j) wrt j? 16*j Let a = 14 + -7. Suppose -4*l - a*d + 3*d + 8 = 0, -3*l - 4*d + 4 = 0. Find the third derivative of 5*g**l + 0*g**2 - 2*g**2 - 3*g**4 wrt g. 48*g Let j(g) be the third derivative of -g**10/50400 + g**6/720 + g**5/20 + g**2. Let w(o) be the third derivative of j(o). What is the derivative of w(p) wrt p? -12*p**3 Let p = 10 - 7. What is the first derivative of -p*t - 3*t + 2*t - 6 + 2 wrt t? -4 Let s(y) = 2*y**3 + 4. Let v(i) = 3*i**3 + 8. Let c = 10 - 13. Let m(b) = c*v(b) + 5*s(b). Find the first derivative of m(x) wrt x. 3*x**2 Let z = 8 - 13. Let j be z*(24/(-15))/4. Differentiate f**2 + j*f**2 - 7*f**2 - 1 + 2*f**2 with respect to f. -4*f Suppose -3*n + 15 = -3*v, 5*v = -3*n - 1 - 24. Let f be (n - 1)*(0 - 4). Find the second derivative of -4*y - y + 2*y**4 + f*y wrt y. 24*y**2 Let i(g) be the first derivative of -g**4/24 - g**3/3 + 4*g**2 + 6. Let p(z) be the second derivative of i(z). Differentiate p(h) wrt h. -1 Let n(k) be the second derivative of 5*k**7/42 + k**4/4 + 14*k. Find the third derivative of n(j) wrt j. 300*j**2 Let x(q) = 2*q**2 + 6*q - 7. Let o be x(-5). Suppose -5*g + 2 = -o. What is the second derivative of 3*w - g*w**2 - 3*w + 4*w**2 - 2*w wrt w? 2 Let b(q) be the second derivative of q**7/360 + q**5/24 - q**4/6 + 4*q. Let m(n) be the third derivative of b(n). What is the derivative of m(h) wrt h? 14*h Let u(w) = -18*w**3 - 14. Let f(t) = t**3 - 1. Let v(r) = -6*f(r) - 2*u(r). Differentiate v(c) wrt c. 90*c**2 Let a(p) be the second derivative of 1/42*p**7 + 0*p**5 + 0*p**2 + 0*p**4 - p + 0 - 1/2*p**3 + 0*p**6. What is the second derivative of a(u) wrt u? 20*u**3 What is the third derivative of -8*i**6 + 5*i**2 + i**6 - 7*i**2 + 11*i**2 wrt i? -840*i**3 Suppose 0 = k - 6*k + 5*w - 40, 0 = 4*k + 3*w + 11. Let h be (-84)/(-35) + (-3)/k. Differentiate -s - 1 + 2 - h with respect to s. -1 Suppose -2*x + 5*z - 20 = -7*x, 0 = x - 3*z. Let f = x + -2. What is the second derivative of -1 + h**5 + f - h wrt h? 20*h**3 Let u be (-2)/10 + (-2)/(-10). Suppose u*n + 4*n - 8 = 0. What is the derivative of -3*f**2 + f**n + 0*f**2 - 2 wrt f? -4*f Suppose 3 - 7 = 2*c. Let v(u) = 3*u + 4*u - 3 - 3*u. Let f(y) = 13*y - 9. Let l(o) = c*f(o) + 7*v(o). Find the first derivative of l(g) wrt g. 2 What is the second derivative of 2*i**2 - i**2 - 7*i**2 - 5*i wrt i? -12 Let t(c) be the first derivative of 7*c**4/4 + 12*c + 11. Differentiate t(v) with respect to v. 21*v**2 Find the second derivative of -10 + 21 - 13*v**5 - 11 + 19*v wrt v. -260*v**3 Let f(z) be the first derivative of 3*z**4/4 + 6*z**3 - 3. What is the third derivative of f(n) wrt n? 18 Suppose 0 = 4*m - 17 + 5. Find the third derivative of -p**m - 2*p**5 + p**3 + 6*p**2 - 3*p**2 wrt p. -120*p**2 Let i(y) = 5*y - 4*y + 7*y + 5. Let z(q) = 17*q + 10. Let v(b) = -5*i(b) + 2*z(b). What is the derivative of v(o) wrt o? -6 Let m(f) be the third derivative of f**8/84 + f**5/12 - 7*f**2. Find the third derivative of m(n) wrt n. 240*n**2 Let q(v) = 3*v**3 - v**2 + v - 1. Let n be q(1). Find the third derivative of -2*h**5 - n*h**5 - 3*h**2 + 2*h**5 wrt h. -120*h**2 Let g(c) be the first derivative of -2*c + 0*c**2 - 2 - 5/4*c**4 + 0*c**3. Differentiate g(y) with respect to y. -15*y**2 Let r(p) be the second derivative of p**7/630 + p**6/240 + p**4/6 + 4*p. Let q(u) be the third derivative of r(u). Find the second derivative of q(v) wrt v. 8 Differentiate 11 + 12 - 6 + 5*g**2 + 4*g**2 with respect to g. 18*g Let n(k) = -3*k**3 + 2*k**3 - 5 + 2*k**3. Let f be (-1 - 0)/(11/(-121)). Let h(o) = 1. Let b(y) = f*h(y) + 2*n(y). Differentiate b(a) with respect to a. 6*a**2 Let t(q) be the third derivative of q**8/840 + q**5/24 + q**3/3 - 6*q**2. Let i(v) be the first derivative of t(v). Find the second derivative of i(f) wrt f. 24*f**2 Let f = 7 - 7. Let c(g) be the second derivative of g + 0*g**3 - 1/10*g**5 + 0*g**4 - g**2 + f. Differentiate c(r) wrt r. -6*r**2 Let c be (-3 + 4)/((-2)/(-6)). What is the third derivative of -10*t**2 + 5*t**3 + 16*t**2 + 6*t**c wrt t? 66 Let a(l) = l**3 + 4*l**2 - 5*l + 3. Let i be a(-5). Suppose -i*v + 3 = -3. Find the third derivative of r**2 + 0*r**v + r**2 + 2*r**5 wrt r. 120*r**2 Let j(o) be the third derivative of -19*o**8/336 - o**4/4 - 22*o**2. What is the second derivative of j(d) wrt d? -380*d**3 Differentiate 0*x**2 - 19*x + x**2 + 46 - 18*x wrt x. 2*x - 37 Let f(v) be the third derivative of v**6/60 + 3*v**4/8 + 6*v**2. What is the second derivative of f(y) wrt y? 12*y Let s(v) = -22*v**3 - 5*v**2 + 23*v + 5. Let h(g) = g**3 + g**2 - 1. Let j(r) = 5*h(r) + s(r). What is the second derivative of j(f) wrt f? -102*f Let w(j) = 21*j**4 + 11*j**2 - 17*j. Let k(g) = 11*g**4 + 6*g**2 - 9*g. Let n(a) = -11*k(a) + 6*w(a). Find the second derivative of n(b) wrt b. 60*b**2 Let y(o) = o**3 - o**2 + o - 1. Let w(t) = -t**5 + 3*t**3 - 6*t**2 + 3*t - 3. Let a(b) = w(b) - 3*y(b). What is the third derivative of a(l) wrt l? -60*l**2 Let i(m) = -m**2 - 5*m + 2. Let u be i(-5). Let t be 0 + (-2)/(-1) + 0. What is the derivative of t*x**3 - u - x**3 + 0 wrt x? 3*x**2 Let f(l) be the third derivative of l**9/252 + 3*l**5/20 - 6*l**2. Find the third derivative of f(k) wrt k. 240*k**3 Let j(i) be the second derivative of -5*i**4/12 + 2*i**2 + 5*i. What is the first derivative of j(k) wrt k? -10*k Suppose 4*l - l = 24. Let r(p) = p**2 - 9*p + 10. Let f be r(l). Find the third derivative of 5 + m**3 + 2*m**f - 5 wrt m. 6 Let w be 5/4 - 1/4. Let t = w + -1. Find the first derivative of 2*l**2 + t + 0 + 1 wrt l. 4*l Let u(x) be the second derivative of -x**2 + 0*x**4 + 0*x**5 + 0*x**3 + x + 1/15*x**6 + 0. Differentiate u(z) with respect to z. 8*z**3 Let m(t) be the second derivative of -1/28*t**8 + 0 + 4*t - 1/4*t**4 + 0*t**7 + 0*t**2 + 0*t**5 + 0*t**6 + 0*t**3. Find the third derivative of m(v) wrt v. -240*v**3 Let w(u) be the second derivative of -4*u**6/5 + u**4/2 - 2*u**3/3 + 49*u. What is the third derivative of w(v) wrt v? -576*v Let y(n) be the first derivative of -1 + 0*n**2 - 2/3*n**3 - 5/4*n**4 + 0*n. What is the third derivative of y(h) wrt h? -30 Find the third derivative of -13*w**4 + 0*w**2 + 3*w**2 + 16*w**4 wrt w. 72*w Let a(s) be the second derivative of -3*s**5/20 - 3*s**2 - 10*s. Differentiate a(j) wrt j. -9*j**2 Let l(d) be the second derivative of 77*d**6/30 + 17*d**2/2 - d + 34. Find the first derivative of l(f) wrt f. 308*f**3 Suppose -5*x - 2*n = -n - 12, 0 = 4*x - 2*n - 4. Let m = 16 + -16. Find the third derivative of -2*l**x + m*l**4 + l - l - l**4 wrt l. -24*l Suppose l + 1 = 4. Find the second derivative of -21*x**l - x + 2*x**5 + 21*x**3 wrt x. 40*x**3 Let b(j) be the second derivative of -7*j**4/2 - 5*j**3/2 - 41*j. Find the second derivative of b(v) wrt v. -84 Let r(l) be the second derivative of 5*l**7/14 + 14*l**3/3 + 27*l. What is the second derivative of r(y) wrt y? 300*y**3 Let v(w) be the second derivative of w**7/14 + w**4/12 - 10*w. Find the third derivative of v(k) wrt k. 180*k**2 Let l(u) be the second derivative of -2*u**7/105 + u**5/20 - 4*u**2 + 4*u. Let b(p) be the first derivative of l(p). What is the third derivative of b(w) wrt w? -96*w Suppose -14 = -3*g - 4*z, -2*z - 6 = -5*g + 26. What is the first derivative of -g - 4 + u + 5 - 4 wrt u? 1 Suppose -4*x - c = -13, -5*c = 2*x - c + 4. Differentiate -p**4 - x - p**4 + 5 +
{ "pile_set_name": "DM Mathematics" }