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367 prime? False Is 443363 prime? True Is 23938 a composite number? True Is 40879 prime? True Is 41773 a prime number? False Is 21985 composite? True Is 13621 a composite number? True Is 2333 a composite number? False Is 24391 prime? True Is 343787 a prime number? True Is 5305 composite? True Is 225931 a prime number? True Is 71507 composite? True Is 77755 a composite number? True Is 799061 prime? True Is 3989 prime? True Is 47869 a prime number? True Is 7045 a prime number? False Is 291767 a composite number? True Is 5411 prime? False Is 99511 a composite number? True Is 64243 a composite number? True Is 187315 prime? False Is 4861 a composite number? False Is 11846 composite? True Is 1823 prime? True Is 919 a prime number? True Is 10667 composite? False Is 99707 a composite number? False Is 33911 a composite number? False Is 2407 a prime number? False Is 9197 composite? True Is 11983 a composite number? True Is 7031 a prime number? False Is 104207 prime? 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False Is 473753 prime? False Is 825787 a composite number? True Is 407347 prime? True Is 26126 composite? True Is 15037 a composite number? True Is 5227 composite? False Is 5498165 composite? True Is 32329 composite? True Is 16519 a composite number? False Is 759199 a composite number? True Is 7318 composite? True Is 39279 prime? False Is 7121 prime? True Is 115099 composite? False Is 34609 a prime number? False Is 31699 a prime number? True Is 2931 prime? False Is 43234 a composite number? True Is 29477 composite? True Is 7701223 composite? False Is 8521 a composite number? False Is 583 a prime number? False Is 7563 prime? False Is 118343 a prime number? True Is 3127 prime? False Is 1749529 composite? False Is 1070713 prime? False Is 31238 a prime number? False Is 26177 composite? False Is 3589 composite? True Is 54829 a composite number? False Is 25157 a composite number? True Is 23869 composite? False Is 28837 a composite number? False Is 23783 prime? 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True Is 361 a composite number? True Is 104459 a prime number? True Is 284957 a prime number? True Is 2927 a composite number? False Is 3093095 composite? True Is 119383 a prime number? False Is 1741 prime? True Is 171863 composite? False Is 13811 a composite number? True Is 57701 composite? True Is 33833 a prime number? False Is 2819 composite? False Is 46967 a prime number? False Is 865 a prime number? False Is 8657 composite? True Is 3041 a composite number? False Is 516643 composite? False Is 3163 prime? True Is 334877 a prime number? True Is 62663 a composite number? True Is 19841 a composite number? False Is 1322653 prime? False Is 67657 prime? False Is 204299 prime? True Is 16601 a composite number? True Is 274579 a composite number? False Is 84863 prime? False Is 583631 composite? False Is 94201 prime? True Is 1361 a composite number? False Is 2019 composite? True Is 195863 prime? True Is 5879 prime? True Is 4391 a composite number? False Is 22613 a composite number? False Is 4848643 a composite number? False Is 91673 prime? True Is 1831 prime? True Is 547007 a composite number? False Is 8263 composite? False Is 10221 a composite number? True Is 3039 composite? True Is 13147 a prime number? True Is 351763 a prime number? True Is 92915 a prime number? False Is 29113 composite? True Is 2199854 prime? False Is 624721 prime? True Is 18431 a composite number? True Is 5209 a composite number? False Is 308501 a prime number? True Is 23717 a prime number? False Is 41671 composite? True Is 15395 a prime number? False Is 207619 composite? False Is 67517 prime? False Is 5557 a prime number? True Is 75847 a composite number? True Is 982 a composite number? True Is 315179 prime? True Is 10529 a prime number? True Is 312311 a composite number? False Is 50659 composite? True Is 201319 prime? False Is 91279 a prime number? False Is 237331 prime? True Is 58451 a composite number? False Is 1081 a composite number? True Is 127739 a prime number? True Is 57179 composite? False Is 984539 a prime number? True Is 1319371 a composite number? False Is 611693 prime? True Is 1280537 a composite number? False Is 1383653 a prime number? True Is 893953 a prime number? False Is 15397 composite? True Is 1119 composite? True Is 272627 a composite number? True Is 501335 composite? True Is 25111 composite? False Is 24371 a prime number? True Is 1533229 a composite number? True Is 2819 composite? False Is 2721089 prime? False Is 44171 prime? True Is 1125259 a prime number? True Is 39502 prime? False Is 61543 a composite number? False Is 412169 composite? True Is 105207 composite? True Is 360463 a composite number? True Is 15117 composite? True Is 439 composite? False Is 1097 composite? False Is 130673 a composite number? True Is 24233 composite? True Is 420607 prime? False Is 12197 composite? False Is 1157 prime? False Is 854285 prime? False Is 22531 a composite number? False Is 2533 a prime number? False Is 120403 a composite number? True Is 473251 a prime number? False Is 3953 a composite number? True Is 645419 a prime number? True Is 50831 a prime number? False Is 676097 composite? True Is 205601 composite? True Is 1207903 prime? True Is 21089 a prime number? True Is 5447 composite? True Is 21269 composite? False Is 548159 composite? True Is 8209 composi
{ "pile_set_name": "DM Mathematics" }
33 for c. -11 Solve 47 = b + x, -3*b + 0*x - 392 = -5*x - 557 for b. 50 Solve -523*a = -518*a + 3*b - 32, -5*b + 16 = -a - 0 for a. 4 Solve 4 = -h, -43 - 228 = -7*d + 4*h - 73 for d. 26 Solve -11*u = k, 5605067*k + 4*u = 5605069*k for k. 0 Solve 20*o + 11966*j + 20 = 11964*j, 0 = -2*o + j - 14 for o. -2 Solve 27410*n - 27406*n - 4*d - 16 = 0, -d = 2 for n. 2 Solve 0 = -4*v - 3*l - 705 + 711, 5*v - 33 = -8*l for v. -3 Solve 33*k = 6*o + 251 + 34, 6 + 2 - 78 = 3*o - 2*k for o. -20 Solve 6*g = -5*y + 130, 65*g = 38*y - 41*y + 1306 for g. 20 Solve -g - 2*g = -5*k + 3*k - 14, 95*k + 380 = 0 for g. 2 Solve -13*g + 89 = -4*n, 47*n + 3*g = 44*n + 48 for n. 7 Solve -2*y + 7*k - 3*k = -46, 47 = -4*y + 26*k - 35*k - 14 for y. 5 Solve 4*h - 5*t - 1075 = -1019, 2*h - 6888 = 860*t for h. 4 Solve -4*o + 44 = -q, -311*o = -5*q - 309*o - 87 - 61 for q. -28 Solve -4*v + 84 = 6*s, 3*s - 569*v - 123 = -574*v for s. -4 Solve -5*k - 2891 = -4*k + q - 2889, 0 = -4*k - 3*q - 5 for k. 1 Solve 11*y + 61*y + 5*i + 11 = -22*y, 2*i = -2*y - 40 for y. 1 Solve -v = -r - 4, 0 = 5*v - v - 3*r + 1449 - 1467 for v. 6 Solve g + 3*q - 6 = 0, 2882*g - 2875*g + 17 - 2 = -2*q for g. -3 Solve 0 = 4*w + 47*f - 52*f - 74, 5*f = -2*w - 10 + 62 for w. 21 Solve -14*r + 6*l = l + 4*l - 0 + 16, -4*r = l + 2 for r. -1 Solve -3*g + 42 = 7*m - 0, -m + 24*g = -5*g + 34*g - 6 for m. 6 Solve -3*l - a + 150 = -14*a, -8*a - 58 = 5*l - 4*a for l. -2 Solve -2247 + 2301 = 3*k + 4*d, -24*k + 61 = -3*d - 266 for k. 14 Solve -5*k + 4*m - 29 = -122, 25*k + 5*m = 34*k - 130 for k. 5 Solve 61*m - 1317634*b + 1317629*b = -91, -5*m - b = -1 for m. -1 Solve -162*v - 8*c = -167*v + 239, -48 = 3*v + c for v. -5 Solve 2*p + 28 = 22*s, 2*s + 5077*p + 13 = 5078*p for s. 3 Solve 385 = -5*z + 3*h + 414, 0 = -10*z - h + 72 for z. 7 Solve 6731*p = 6732*p + a + 11, 3*a + 23 = -5*p for p. 5 Solve 21*b - 2*b = -u - 72 + 378, -8*b - 2*b + 6*b = 2*u - 68 for u. 2 Solve 3*q + 198 = -6*q, 5*q + 14289 = v + 14183 for v. -4 Solve -10*z - 71*c - 144 = -5*z - 3*z, 4*z + 6 = -2*c - 2 for z. -1 Solve 0 = 3*x - 2*g - 100, -3699*x + 3702*x = 4*g + 188 for x. 4 Solve 5*w - 234 - 105 = 47*r, -r - 11 = -531*w + 529*w for r. -7 Solve -20*b + 11*b = -11*b - 4*g + 24, 444 = 46*b - 16*g for b. 10 Solve -4753*u + 24 = -4760*u - 3*f + 6*f, 0 = 5*u + 3*f + 12 for u. -3 Solve -2*l - 2*l + 7 + 25 = -4*b, 341*l + 351*l - 695*l = 6 for b. -10 Solve 4*n = o + 230 - 261, 4*n - 145 = -15*o for o. 11 Solve 0 = 982*v - 979*v - 4*n - 55, -2*v + 220 = -21*n for v. 5 Solve 4*k - 6 = -s, -1529*s - 4*k + 71 - 23 = -1525*s for s. 14 Solve 0 = -4*a - 5*b - 156, 52 = -a - 6*b - 120 for a. -4 Solve 5*y + 4513*k - 4516*k = 24, -18*y + 51 = k for y. 3 Solve -5*d + 8 = -4*o + 30, 2*d - 1680*o + 1687*o - 17 = 0 for d. -2 Solve -2*x + 16 = -4*t, 243 = 2*x - 6*t + 219 for x. 0 Solve 2*b + 162 = -4*b, -4*j = -6*b + 2 - 40 - 12 - 124 for j. 3 Solve -2*h - 145 + 135 = 2*m, 6*m + 13 = -h - 3*m - 16 for h. -2 Solve -28*w = -x - 24, -13755*x - 4*w = -13760*x + 16 for x. 4 Solve 86 = 6*y + 23273*b - 23259*b, 23 = 3*y + 2*b for y. 5 Solve 2*n + 4*p - 2*p + 22 = -10*p, -3*p - 9 = -3*n for n. 1 Solve -s = -18*u + 19, 3*u + 24*s - 19 = 25*s for u. 0 Solve -2*s + 6*i - i - 21 = 0, 3*i - 213 - 36 = 80*s for s. -3 Solve 58*r - 60*r = -d, 2*d + 0*r + 5*r = -d + 33 for d. 6 Solve -d - v = -5*d + 6*d + 17, 5*d - 40 = 2*v - 105 for d. -11 Solve 50*z - 85*z = -210, -2*c + 5*z - 18 = 2*c - 0*c for c. 3 Solve 4*g + 2*k = k - 92, -2*g - 2*k - 3 - 43 = 0 for g. -23 Solve -p + 99*n - 208 = 0, 13*p + 2 - 6 = 11*p - 9*n - 6 for p. -10 Solve t = 19*u - 23*u + 42, 8*u + 305*t = 307*t - 100 for u. -1 Solve -l = -4*n - 25, -845 - 835 = 9*n - 6*l - 1620 for n. -6 Solve -3176 = 5*k + 4*i - 3248, -5*k - 9*i = -162 for k. 0 Solve -21 = -12*y + 27, 8*y + 2*y + 0 = -5*j + 25 for j. -3 Solve -2*q - 4*a + 750 - 722 = 0, 4*q = 3*a - 43 for q. -4 Solve 17*w = 4*m - 152, -11*m - 2*w - 124 = -36*m - 2*m for m. 4 Solve 0*r + 119 = -4*p - 5*r + 43, -2*r = 4*p + 76 for p. -19 Solve 14 = 7*x, -6*p + 497*x - 246*x = 256*x + 266 for p. -46 Solve -m = -7*j + 12, 351*m - 354*m + 6 = 0 for j. 2 Solve -w = 2*m - 63, 81*m - w + 6*w - w = 5*w - 229 for m. -2 Solve -2*g + 5*l + 1 + 25 = 0, 20 - 3 + 3 - 2 = 3*g - 4*l for g. -2 Solve z - 4*d = -49 - 5, -2*z - 869*d = -874*d + 69 for z. -2 Solve -4*x = n - 145, -1208116 = 3*n - 1208119 for x. 36 Solve -10 = 4*c + 2*n, 0 = 5*c - 699*n - 704*n + 1406*n + 10 for c. -5 Solve 7*i = -98, -3*z + 1202725*i - 1202731*i = 81 for z. 1 Solve -70*h + 33*h + 2*g = -36*h + 16, -8 = -7*h + 2*h - g for h. 0 Solve 102447*x + 4*g + 39 = 102442*x, -4*x = 2*g + 36 for x. -11 Solve 4*i + 876 = -7*k - 0*i + 1092, -62 = -2*k - 0*k - i for k. 32 Solve -59*o - 47*o + 86*o - 52 = 3*h, -8*h + 2*o = -2*h + 20 for h. -4 Solve -2*n = 5*z - 21, 16*z - 15*n - 11*n + 27 = -25*n - 2 for z. -1 Solve -16*q - 141*k - 148*k + 286*k + 5 = -20*q - 4, 0 = -5*k + 2 - 7 for q. -3 Solve 10*a = -4*d - 146, -2*a + 3*d - 5 - 9 + 12 = 12 for a. -13 Solve -l + 5*y + 4 - 6 = 0, 34 + 9 = 20*l + 2*y - 19 for l. 3 Solve 0 = -2*l + 5897 - 5905, -15*k - 4*l = -4*k + 71 for k. -5 Solve -10*z = -2*a + 9*z + 28 + 76, 0*a + 80 = 4*a - 6*z for a. 14 Solve 5*u + 14 = -3*l, 1298229*l - 1298230*l + 14*u + 9 = -2 for l. -3 Solve -513*y + 516*y + 48 = -5*q, 17*y + 19*y = -4*q + 5*y + 3*y - 64 for q. -9 Solve 4129*d - 4134*d + 40 = 0, -3*v - 72*d - 5 = -73*d for v. 1 Solve -57113 + 57111 = -q, 2*o = 2*q - 46 for o. -21 Solve 271 = -3*s - 8*m, -209 = -233165*s + 233162*s + 7*m for s. -5 Solve -199*o + 25209*b - 197 = 25207*b, o + 2*b + 3 = 0 for o. -1 Solve -5*y = -8*y + 3*k - 12, 37*y - 4*k = 42*y - 25 for y. 1 Solve -v = 5*l + 6, 23*l - 64*l - 93 = -10*l for v. 9 Solve -11 = -13*s + 760*u - 1520*u + 763*u, -4*s - 29 = -6*s - 5*u for s. 2 Solve -23*v + 5*z + 2*z - 614 = -9*v + 3*z, 0 = 2*v - 3*z + 78 for v. -45 Solve -112 + 217 = -3*a - 3*t + 141, -3*a + 4*t = -36 for a. 12 Solve 7*j - 12 = b - 136, -2*j + 91 = 75*b - 73*b - 109 for j. -3 Solve -11*h = 4*f - 7*h - 24, 6*h - 9*h + 3 = 5*f - 13 for f. -1 Solve -4*x + 167 = -3*x + q + 4*q + 43, 4*x = -6*x - 2*q + 40 for x. -1 Solve 0 = -11780*a + 11779*a + x + 44, -212 = 5*a + 4*x for a. -4 Solve 2*k = 3*k, -6*k + 6*k + 39 = -4*g + 4*k + 11 for g. -7 Solve 4*p - 29009*c + 668 = -28941*c, 4*p + 2*c + 18 = 5*c for p. 3 Solve 2*v + 8*f - 90 = 0, -3*f + 71 = 5*v - f + 28 - 181 + 35 for v. 37 Solve -y = a + 5, 13*a = -4*y - 226 + 92 + 123 for y. -6 Solve 114*q + 3*h + 216 = 91*q, -3*q + 23*h = 28*h + 42 for q. -9 Solve -11743*x + 11740*x - 12*i = -39, x = -2*i + 9 for x. 5 Solve w - 1470509*d = -1470504*d - 4, 0 = 2*w - 3*d - 6 for w. 6 Solve 21*c + 3*x = 5*c + 2*x + 14, 6*c + 7 = 9*c - 2*x for c. 1 Solve 0 = -u + 21*w + 1658, 5*u - 1170 + 1491 = -4*w for u. -1 Solve -6*q + 9*y - 5*y - 14 = 0, -9*y + 18 = -4*q - 2*y for q. -1 Solve 4*t - 21 = -z + 12, 56*z - 8*z - 212 = 4*t for t. 7 Solve -3*s - 64 = 48*p - 52*p + 49, 2*s - 4*p = -110 for s. -3 Solve 0*h - 1226*w + 1224*w + 26 = -h, 9*h + 80 = 4*w for h. -4 Solve -2*q + 25 = -3*r, 0 = 1044660*r - 1044655*r + 2*q + 31 for r. -7 Solve 0 = -24*t - 9*s + 13*s - 116, 6*t = 2*s - 61 + 9 for t. -1 Solve -12*p - 17*p + 26*p + 58 = -5*c, 124 = 9*p - 5*c for p. 11 Solve -2*h + 22 = -2*s, 0 = -5*s + s + 379*h - 393*h + 118 for s. -2 Solve k + 1784 = -k - 446*u, 5 = -5*k + 2*u + 24 - 11 for k. 0 Solve 0 = -2*f - 5*r + 24, 390*r - 100 = -14*f + 389*r for f. 7 Solve -39*m = 6*z + 93, 5*z + 5*m = -2739 + 2689 for z. -9 Solve -7*n + 6*n - 1171 = -1182, -4*m + 3*n - 13 = 0 for m. 5 Solve x - 111 = 2*y, -99 - 112 = 4*x - y + 139 - 409 for x. 1 Solve -7*s - 4560*j + 4564*j + 87 = 0, j + 2*j - 3 = 0 for s. 13 Solve -2*d + 8*x - 412 = -6*d, -3*d - 879 + 1080 = 4*x for d. -5 Solve -6*f + 27720*t - 27723*t + 60 = 0, 0 = 3*f - 2*t - 44 for f. 12 Solve -q = 5*w - 103, -885*w + q + 877 = -841*w for w. 20 Solve 16*h - 55*h = -19*s + 33*s + 86, -3*s + 5*h = -35 for s. 5 Solve 0 = 18*r + 4*h - 9*h, 4*h + 0*h + 0*h - 16 = -5*r - 48 + 32 for r. 0 Solve -3*t - 200581*a = -200585*a - 14, -2*a = 16*t - 28 for t. 2 Solve -82*v - 3*h + 2*h = 9, 3*v - 7*v + 0*v + 36 = -4*v - 4*h for v. 0 Solve 191 - 156 = -j + 5*b, -2*j + 2*b = 30 for j. -10 Solve -c = -b - 8, -4*c + 1340*b + 10
{ "pile_set_name": "DM Mathematics" }
s the thousands digit of 106660? 6 What is the ten thousands digit of 54997? 5 What is the millions digit of 11213394? 1 What is the hundred thousands digit of 1545352? 5 What is the tens digit of 191490? 9 What is the millions digit of 25117528? 5 What is the ten millions digit of 10304643? 1 What is the millions digit of 6263361? 6 What is the units digit of 223241? 1 What is the hundreds digit of 12283? 2 What is the units digit of 1472135? 5 What is the ten thousands digit of 2019502? 1 What is the thousands digit of 56676? 6 What is the millions digit of 3327682? 3 What is the tens digit of 553660? 6 What is the millions digit of 2759143? 2 What is the hundreds digit of 64739? 7 What is the hundreds digit of 2519865? 8 What is the thousands digit of 2872971? 2 What is the thousands digit of 2027322? 7 What is the units digit of 6676? 6 What is the ten millions digit of 27114423? 2 What is the ten thousands digit of 8490710? 9 What is the ten thousands digit of 130888? 3 What is the tens digit of 365996? 9 What is the units digit of 529589? 9 What is the ten thousands digit of 465031? 6 What is the ten thousands digit of 699045? 9 What is the hundreds digit of 168116? 1 What is the tens digit of 20955074? 7 What is the hundred thousands digit of 838007? 8 What is the units digit of 137313? 3 What is the tens digit of 3390534? 3 What is the hundreds digit of 132014? 0 What is the ten thousands digit of 7259809? 5 What is the millions digit of 6828101? 6 What is the hundreds digit of 8779517? 5 What is the hundred thousands digit of 4686759? 6 What is the thousands digit of 95181? 5 What is the units digit of 689899? 9 What is the units digit of 17175648? 8 What is the thousands digit of 217928? 7 What is the hundreds digit of 2422288? 2 What is the ten thousands digit of 4161463? 6 What is the units digit of 669? 9 What is the tens digit of 69086? 8 What is the hundred thousands digit of 296065? 2 What is the hundred thousands digit of 930076? 9 What is the units digit of 155014? 4 What is the ten thousands digit of 21737487? 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5 What is the tens digit of 520288? 8 What is the hundred thousands digit of 280347? 2 What is the tens digit of 630452? 5 What is the thousands digit of 3386030? 6 What is the units digit of 494991? 1 What is the tens digit of 4412257? 5 What is the hundreds digit of 342778? 7 What is the units digit of 602713? 3 What is the ten millions digit of 34133172? 3 What is the ten thousands digit of 2624230? 2 What is the thousands digit of 336976? 6 What is the hundreds digit of 883623? 6 What is the tens digit of 242850? 5 What is the thousands digit of 454446? 4 What is the units digit of 181071? 1 What is the ten thousands digit of 1156408? 5 What is the hundred thousands digit of 32071998? 0 What is the thousands digit of 424491? 4 What is the units digit of 410918? 8 What is the hundreds digit of 7361977? 9 What is the thousands digit of 3542230? 2 What is the millions digit of 13178444? 3 What is the tens digit of 4443452? 5 What is the hundreds digit of 104629? 6 What is the thousands digit of 103603? 3 What is the hundreds digit of 40713381? 3 What is the tens digit of 5104243? 4 What is the tens digit of 16574756? 5 What is the units digit of 22819? 9 What is the tens digit of 199605? 0 What is the tens digit of 273024? 2 What is the millions digit of 2212557? 2 What is the ten thousands digit of 273581? 7 What is the hundred thousands digit of 3510333? 5 What is the tens digit of 110381? 8 What is the millions digit of 2371780? 2 What is the hundreds digit of 1354273? 2 What is the millions digit of 1110024? 1 What is the ten thousands digit of 191733? 9 What is the thousands digit of 4076327? 6 What is the hundreds digit of 5107753? 7 What is the tens digit of 20799? 9 What is the hundred thousands digit of 1996739? 9 What is the hundred thousands digit of 1416727? 4 What is the millions digit of 3359205? 3 What is the ten thousands digit of 450226? 5 What is the hundreds digit of 3518328? 3 What is the hundreds digit of 376017? 0 What is the ten thousands digit of 402765? 0 What is the units digit of 106166? 6 What is the units digit of 98669? 9 What is the hundred thousands digit of 13288722? 2 What is the hundred thousands digit of 181952? 1 What is the tens digit of 176713? 1 What is the thousands digit of 5351731? 1 What is the thousands digit of 2921779? 1 What is the ten thousands digit of 523144? 2 What is the hundred thousands digit of 171159? 1 What is the thousands digit of 2820956? 0 What is the thousands digit of 170302? 0 What is the hundreds digit of 30055220? 2 What is the hundred thousands digit of 5730246? 7 What is the hundreds digit of 685986? 9 What is the hundreds digit of 4157135? 1 What is the thousands digit of 14591376? 1 What is the ten thousands digit of 17794193? 9 What is the hundreds digit of 21215739? 7 What is the thousands digit of 1519836? 9 What is the ten thousands digit of 6313841? 1 What is the hundred thousands digit of 30376836? 3 What is the units digit of 4340437? 7 What is the hundred thousands digit of 11160680? 1 What is the tens digit of 35601? 0 What is the tens digit of 3019157? 5 What is the hundred thousands digit of 394114? 3 What is the hundreds digit of 139622? 6 What is the ten thousands digit of 191217? 9 What is the ten thousands digit of 28466514? 6 What is the millions digit of 5489563? 5 What is the units digit of 4596495? 5 What is the tens digit of 309534? 3 What is the hundreds digit of 38912? 9 What is the thousands digit of 89242? 9 What is the ten thousands digit of 87878? 8 What is the hundreds digit of 84158? 1 What is the thousands digit of 171089? 1 What is the ten thousands digit of 5505347? 0 What is the ten thousands digit of 3183415? 8 What is the tens digit of 43342265? 6 What is the tens digit of 282862? 6 What is the hundreds digit of 3967833? 8 What is the thousands digit of 510130? 0 What is the units digit of 1807424? 4 What is the tens digit of 1034605? 0 What is the hundred thousands digit of 322215? 3 What is the units digit of 164893? 3 What is the hundreds digit of 2612491? 4 What is the tens digit of 2640956? 5 What is the units digit of 5238281? 1 What is the ten thousands digit of 268232? 6 What is the units digit of 6197262? 2 What is the thousands digit of 16672374? 2 What is the units digit of 367805? 5 What is the ten thousands digit of 8482531? 8 What is the ten thousands digit of 30041? 3 What is the ten thousands digit of 1354003? 5 What is the units digit of 142069? 9 What is the units digit of 607023? 3 What is the thousands digit of 8792184? 2 What is the units digit of 210333? 3 What is the units digit of 711748? 8 What is the thousands digit of 3258004? 8 What is the millions digit of 4021601? 4 What is the units digit of 6339248? 8 What is the tens digit of 320874? 7 What is the hundreds digit of 9931436? 4 What is the tens digit of 3970? 7 What is the tens digit of 475887? 8 What is the ten thousands digit of 4327395? 2 What is the thousands digit of 15373741? 3 What is the units digit of 31756? 6 What is the hundreds digit of 8375069? 0 What is the tens digit of 171598? 9 What is the units digit of 242569? 9
{ "pile_set_name": "DM Mathematics" }
- 779 - 280)*((1 + 2 - 1)*(-2*b + 0 + 0) + 0*b - b - 3*b) in the form q + y*b and give y. 20384 Rearrange -32 - 2*j**2 + 11 + 7 + 211*j + 16 to s + a*j + m*j**2 and give m. -2 Express 293*l - 81*l + 6 + 79*l - 33*l in the form h*l + m and give m. 6 Express 3*l - 14*l - 4*l + 79 - 2*l - l - 78 + (-3 + 1 + 0)*(4*l + l - 4*l) as i + h*l and give i. 1 Rearrange (1 + 4 - 2 + (-2 + 3 + 0)*(-4 + 1 + 1))*(165 + 171*m - 165) to r*m + c and give r. 171 Express 0*z**2 - 12*z**2 + 19*z**2 + (-3 + 6 + 9)*(3*z + 2*z - 4*z)*(11 - 5*z - 11) as x*z**2 + j*z + w and give x. -53 Rearrange 461*g**2 - 222*g**2 + 5*g**3 - 228*g**2 - 11*g**3 + 27*g + 5*g**3 to the form k + v*g**3 + m*g**2 + r*g and give r. 27 Express (0 + 1 - 13)*(0 + 575*b - 69*b + 57*b + 0) as d*b + q and give d. -6756 Rearrange -290043 + 580083 + 2*x**2 + 3434*x - 412*x - 290040 to k + i*x**2 + u*x and give u. 3022 Rearrange 2657 - 2*h - 358*h**2 - 134*h**2 + 490*h**2 to the form y*h**2 + z + d*h and give y. -2 Rearrange (-3610 + 257*q**2 + 3610)*(111*q - 111*q + 3*q**2) + 2 - 2 + q**4 to b*q**2 + p*q + y*q**4 + i + u*q**3 and give y. 772 Rearrange (3*f - f - f)*(0 - 7 - 4) + 184*f + 41 + 185*f - 373*f to n + u*f and give n. 41 Express (0*h - h + 2*h)*(-318*h + 629*h + 64 - 314*h)*(3 - 5 - 22) in the form f + i*h**2 + b*h and give b. -1536 Rearrange -4852*g + 1373*g**2 - 4855*g + 14566*g - 5 - 4859*g to the form n + d*g + p*g**2 and give p. 1373 Express -86*i + 340*i**2 - 1016*i**2 + 338*i**2 + 343*i**2 - 175*i in the form w*i**2 + j*i + n and give w. 5 Rearrange (3 - 1 - 4)*(2 + b**2 - 2)*(-b + 1250 + 4165 - 1418) to the form q*b + l*b**2 + k*b**3 + j and give l. -7994 Express 0*h**3 - 2*h**3 + 9*h**4 - 19*h + 2*h**2 - 15*h + 5 - 12*h + 44*h as k*h**2 + y + v*h**4 + m*h + o*h**3 and give k. 2 Rearrange 378*g**4 - 183*g**4 - g**3 + 8*g**2 + 5*g - 230*g**4 - 2*g to the form y + p*g**2 + t*g**3 + c*g + j*g**4 and give c. 3 Express (1 + 18 + 105)*(-107 - 352*z - 764*z + 273*z + 107) as v*z + r and give v. -104532 Express -m**2 - 2*m - 2 - 23*m**4 - 5 + 77*m**4 - 35*m**4 - m**2 + 13*m**3 as u*m**2 + l + p*m + d*m**3 + b*m**4 and give u. -2 Rearrange -9*y**3 - 275*y**4 - 16*y**3 - 340*y**4 + 27*y**3 + 2*y**2 to v*y**3 + z*y**4 + x + j*y**2 + a*y and give a. 0 Rearrange 190*g**3 - 703*g**3 - 2*g - 927*g**3 - 28*g**3 to the form p*g**2 + h + f*g + w*g**3 and give w. -1468 Express (54*g - 35*g - 125*g)*(-2*g + 9*g - 4*g + 1) as c*g**2 + r + x*g and give x. -106 Express (5*l**2 - 6*l**2 - 2*l**2 + (0 + 0 + l)*(3*l + 0*l + 2*l))*(0 - 15*l + 12*l + 2)*(-2 + 0 + 3) as k*l**2 + q + y*l**3 + d*l and give k. 4 Rearrange 76*q**4 + 1 + 10*q - 151*q**4 - q**3 - 6*q - 20*q + 77*q**4 - 2*q**2 to b*q**2 + t*q**3 + f*q**4 + u + r*q and give f. 2 Express (3 - 1 - 5)*(-73 + 37 + 42)*(-1 + 14723*u**2 + 11*u**3 - 14723*u**2) in the form j*u**3 + x*u**2 + v*u + p and give p. 18 Rearrange -55*s - 15*s - 12*s + 95*s + 1995 - 15*s to the form y + l*s and give l. -2 Express -2080*t**3 - 3*t + 709*t**4 + 22*t**2 + 4*t + 2 - 712*t**4 - 20*t**2 in the form i*t**2 + j*t**3 + c + k*t + z*t**4 and give j. -2080 Rearrange (-5*m + 3*m + 4*m)*(-345*m**3 + 9*m + 8550*m**3 - 9*m) to the form l*m**2 + z + o*m**4 + a*m**3 + n*m and give o. 16410 Express -6 + 22 - 41 + 25 + 14083*h**2 as i*h + l*h**2 + s and give l. 14083 Rearrange -2083*j**3 + 4*j**2 - 162*j**4 + 2094*j**3 + 159*j**4 - j to a*j**4 + o*j**3 + i + p*j + c*j**2 and give i. 0 Rearrange (0*z + z - 3*z)*(5 - 7 - 10) + 17*z - 4 + 4 + 3 - 3 + z - 5*z + 2*z + 4*z to o*z + m and give o. 43 Express (l - 4*l - l)*(0*l - 3*l + 4*l) + l**2 - 6*l**2 + l**2 - 22*l**2 + 174*l**2 + 76*l**2 as f*l**2 + m*l + v and give f. 220 Rearrange -4486*o**2 + 4555*o**2 - 6*o + 1 - 4*o to the form g*o + p*o**2 + t and give g. -10 Express 2649*s**4 - 881*s**4 - 883*s**4 - s - 886*s**4 - 3*s + 180*s**2 in the form d*s**3 + i*s + m*s**2 + p*s**4 + k and give p. -1 Express 17*q**4 + 372*q**3 - 372*q**3 + (-2 - 6*q + 2)*(4*q**3 - 5*q**3 + 0*q**3) - 43*q**4 - 90*q + 90*q as w*q + f*q**4 + c*q**2 + o*q**3 + z and give f. -20 Rearrange 6*d + 13*d**3 + 8*d - 9*d**3 - d**2 + 4*d + 18*d**4 - 23*d**4 to y*d + r*d**2 + t*d**3 + c*d**4 + s and give c. -5 Express 7*o**2 - 5 + 5 + 2*o + (0*o - o + 0*o)*(-490 + 963*o + 490) as c*o + p*o**2 + w and give c. 2 Rearrange -2*b - 247*b**2 - 343*b**2 + 752*b**2 - 5 - 2 to q*b**2 + l*b + m and give q. 162 Rearrange -2*y + 3*y - 3*y - 3*y + 2*y + 3*y + (-2 + 5 - 4)*(1 + y - 1) - 24*y - 34*y - 98*y - 3 to f*y + t and give f. -157 Rearrange (0 - 1 - 1)*(v + 2*v**2 - v) + 3*v**2 - 2*v**2 - 3*v**2 + 171 - 167*v**2 - 171 - 112*v**2 - 757*v + 757*v to i + n*v**2 + u*v and give n. -285 Rearrange 14*n**3 - 13*n**3 + 2833*n - 1529*n to the form s*n**3 + k*n**2 + y + a*n and give s. 1 Express -2 + 126*d**3 - 5 - 75*d**3 + 132*d**3 + 25*d**3 as a*d**3 + b + l*d + o*d**2 and give a. 208 Rearrange -1 + r**3 + 2108*r**4 - 2*r**2 - 4187*r**4 - 2*r + 2082*r**4 to o*r + j + k*r**2 + h*r**3 + n*r**4 and give o. -2 Express -710*z - 3*z**2 + 1395*z - 701*z - 310 as s + v*z + n*z**2 and give s. -310 Rearrange (-1727*d**2 + 12917*d - 12917*d)*(6 - 1 - 2)*(-d - 12*d + 3*d) to the form c + b*d + i*d**2 + f*d**3 and give f. 51810 Rearrange 78 + 311*q - 182*q - 137*q to g*q + d and give g. -8 Rearrange -14*o**2 - 9*o**2 - 8*o + 2 + 6*o - 4 + 19*o**2 to the form u + y*o**2 + r*o and give y. -4 Express 204856*y - 6 - 2*y**4 + 7 - 204619*y in the form k*y + h*y**3 + m*y**2 + x + d*y**4 and give k. 237 Rearrange 5*r - r**2 + 177*r**3 - 77*r**3 - r**4 - 90*r**3 to x + k*r**2 + w*r**3 + n*r + o*r**4 and give k. -1 Rearrange -l**3 - 27*l**4 - l**3 - l - 3*l**2 - 33*l**4 + 1 + 29*l**4 - 3*l**4 to the form z*l**2 + a*l**4 + p*l + d*l**3 + x and give d. -2 Express -7*m**4 - 440*m**3 + m**4 - m - 337*m**3 + 3*m**4 - 3 + 466*m**3 as t*m + u*m**4 + h*m**3 + j*m**2 + y and give y. -3 Express (-12*a**2 + 7*a**2 + a - 2*a**2)*(-11 + 5 - 2) as q*a + c*a**2 + f and give q. -8 Express 30417 + 461*z**2 + 84*z**2 - 30415 + 2*z in the form o + h*z**2 + l*z and give o. 2 Express 23*t - 298*t - 1 + 1 - 403*t in the form p*t + u and give u. 0 Rearrange 15994*z - 3268*z + 6626*z + 796*z to u + n*z and give n. 20148 Rearrange -32 + 35 + 222*n + 343*n - 783*n - 847*n to the form d*n + w and give d. -1065 Express -2072*o**2 - 3662*o**2 - 3424*o**2 as f*o + v*o**2 + n and give n. 0 Express -2252 - 12*m + 87*m - 16*m - 58*m + m**3 in the form j + h*m**3 + o*m**2 + l*m and give l. 1 Rearrange 1273 + 179*l + 20*l**2 - 45*l**2 + 27*l**2 - 1273 to the form a*l**2 + t + z*l and give a. 2 Express (-r + r + r)*(0 + 4 - 3) + r + 0*r - 3*r - 2*r - 3*r + 4*r - 2*r + 2*r - r - r + r - r - 23*r - 29*r - 27*r + 161 - 161 - 15*r as v + c*r and give v. 0 Express 54*q - 185*q + 46*q + 43*q + 49*q - 109*q**2 in the form c + f*q + n*q**2 and give n. -109 Express 875*c**2 + 9*c - 20*c + 9*c + 254*c**2 as g + s*c + p*c**2 and give p. 1129 Rearrange ((-2 + 6 - 1)*(-5 + 5 - 28*t) + 2*t + 0*t + 0*t)*(68*t - 18*t + 73*t) to the form y*t + k*t**2 + m and give k. -10086 Express 2*s**2 - 3739 + 7*s + 0*s**2 + 3*s**4 + 3725 as k*s + q + f*s**2 + a*s**3 + d*s**4 and give k. 7 Express o**3 - 3*o**3 + o**3 + (-18*o**3 + 146 - 146)*(-3 + 4 - 3) + 12*o**3 + o**3 - 3*o**3 as g*o**2 + v + l*o + r*o**3 and give r. 45 Rearrange (-128 + 97 - 154)*(3*s - s - 3*s) - s + 5*s + 3*s - 2*s + s - 2*s to m + j*s and give j. 189 Express (-2 + 2 + 2)*(23*z - 27*z - 16*z) - 242*z + 6 + 19 - 23 as d + i*z and give d. 2 Express (c + 3*c - 13*c)*(-1 + 0 + 0)*(-3 + 2 + 5) + (-2*c - 2*c + 3*c)*(7 + 8 - 7)*(-3 + 8 + 5) as n + y*c and give y. -44 Rearrange 762 + 22*a - 395 - 7*a + 701 + 6*a + (0 + 3 - 4)*(a - 3 + 3) to x*a + y and give y. 1068 Rearrange -266 - 55 + 366 - 2*a - 12*a**3 to the form k*a + p*a**3 + d + g*a**2 and give d. 45 Express (995*m + 979*m + 23 - 1932*m)*((0 + 1 + 0)*(-1 - 3 + 3) - 1 + 3 + 0) in the form l + s*m and give s. 42 Express 1 - 3*j**2 + 0*j**2 - 100*j + 49*j + 100*j as v*j**2 + c*j + z and give v. -3 Rearrange 67*v - 110*v - 2*v**3 - 79*v + 2 - 62*v + 0 to the form p*v + g + h*v**3 + y*v**2 and give h. -2 Express (2 - 5 + 2)*(1025*x + 659*x + 69*x) in the form k*x + j and give k. -1753 Express (-488 - 1830 - 1374 + 120 - 726)*(-811 + 811 - 11*z) as c +
{ "pile_set_name": "DM Mathematics" }
0000003 Round 1929053 to the nearest ten thousand. 1930000 What is -467.96163 rounded to the nearest 100? -500 What is -133502600 rounded to the nearest one million? -134000000 What is 1806204100 rounded to the nearest 1000000? 1806000000 What is -7677540 rounded to the nearest one hundred thousand? -7700000 Round 0.000941944 to 4 decimal places. 0.0009 Round -0.0206159 to three dps. -0.021 What is 1466.38 rounded to 0 decimal places? 1466 What is -0.00118329254 rounded to five decimal places? -0.00118 Round -41324 to the nearest 10000. -40000 What is 681.5616 rounded to one dp? 681.6 Round -115740 to the nearest 100. -115700 What is 0.000119296 rounded to six decimal places? 0.000119 What is 5773.13 rounded to the nearest one thousand? 6000 What is 34059.5 rounded to the nearest one thousand? 34000 Round -317912 to the nearest 1000. -318000 Round -5796.1725 to the nearest 10. -5800 What is 0.0002162613 rounded to six decimal places? 0.000216 What is -0.05069019 rounded to 4 decimal places? -0.0507 Round 0.0007338171 to four dps. 0.0007 What is 0.0002831605 rounded to five decimal places? 0.00028 What is -2894330 rounded to the nearest ten thousand? -2890000 What is -19.20882 rounded to 2 decimal places? -19.21 What is 4.584192 rounded to one dp? 4.6 What is -3903893 rounded to the nearest 100000? -3900000 What is -0.161849 rounded to four dps? -0.1618 What is -0.000685887 rounded to 5 decimal places? -0.00069 Round 12780378 to the nearest one million. 13000000 What is 867171 rounded to the nearest 10000? 870000 Round -11.2333 to 0 dps. -11 Round 0.000610512 to 5 dps. 0.00061 Round 104.2277 to the nearest ten. 100 What is 0.00013750534 rounded to 7 dps? 0.0001375 Round 51543847 to the nearest 100000. 51500000 What is 108934 rounded to the nearest 100000? 100000 What is 0.00011894288 rounded to 5 dps? 0.00012 Round -0.0027611014 to six decimal places. -0.002761 Round 0.00005625339 to seven dps. 0.0000563 Round -421.7347 to the nearest integer. -422 Round 70.951 to zero dps. 71 What is -0.00649452 rounded to 3 decimal places? -0.006 What is 0.0046748 rounded to 4 decimal places? 0.0047 What is 627.49761 rounded to the nearest ten? 630 Round -0.002353145 to 6 decimal places. -0.002353 Round -250.901 to the nearest 10. -250 What is 0.0025978017 rounded to five dps? 0.0026 What is 0.0018602194 rounded to five decimal places? 0.00186 Round 0.000341342 to five decimal places. 0.00034 Round -10671524 to the nearest one hundred thousand. -10700000 What is 3801487.1 rounded to the nearest 10000? 3800000 What is -1.066633 rounded to 3 dps? -1.067 What is 0.545046 rounded to two decimal places? 0.55 What is -0.00056565404 rounded to five dps? -0.00057 What is -0.00298497 rounded to four dps? -0.003 Round 0.000371337 to 6 decimal places. 0.000371 Round -0.000029203243 to 7 dps. -0.0000292 What is 73274.3 rounded to the nearest 100? 73300 What is 26942.25 rounded to the nearest one thousand? 27000 What is -21.272701 rounded to 0 decimal places? -21 Round 0.00467319 to six decimal places. 0.004673 Round -20638800 to the nearest 100000. -20600000 What is 9127.53 rounded to the nearest 10? 9130 What is 48423060 rounded to the nearest 1000000? 48000000 Round -4687 to the nearest 1000. -5000 Round -290.1222 to the nearest one hundred. -300 Round 37127.69 to the nearest ten. 37130 What is -5.20776 rounded to two dps? -5.21 Round -4.65215 to one dp. -4.7 What is -26778500 rounded to the nearest one hundred thousand? -26800000 What is 0.00703454 rounded to 3 decimal places? 0.007 Round 0.0175371 to four dps. 0.0175 What is 0.0000064574 rounded to six decimal places? 0.000006 What is 853.2683 rounded to the nearest 100? 900 What is -1.1415387 rounded to one dp? -1.1 Round -2390160 to the nearest one hundred thousand. -2400000 What is -0.034058 rounded to four decimal places? -0.0341 What is 75.75381 rounded to the nearest ten? 80 Round -966223.9 to the nearest 1000. -966000 Round -0.00006489293 to 5 dps. -0.00006 What is -0.00401618 rounded to 3 dps? -0.004 What is -31029.8 rounded to the nearest ten thousand? -30000 What is -36088.84 rounded to the nearest ten? -36090 Round -0.00000614567 to 7 dps. -0.0000061 What is -15.871584 rounded to the nearest integer? -16 Round 64.6187 to the nearest ten. 60 What is -27511.14 rounded to the nearest one hundred? -27500 What is 0.600317 rounded to 2 dps? 0.6 What is -31323220 rounded to the nearest 10000? -31320000 What is 0.00000374716 rounded to 7 dps? 0.0000037 Round 777654100 to the nearest 1000000. 778000000 What is 0.07196538 rounded to five dps? 0.07197 Round -1.83826 to two decimal places. -1.84 What is 55869446 rounded to the nearest 10000? 55870000 What is 59268710 rounded to the nearest 1000000? 59000000 What is 43784590 rounded to the nearest one million? 44000000 What is 0.01669765 rounded to four decimal places? 0.0167 What is 3934927 rounded to the nearest ten thousand? 3930000 What is -0.00325052 rounded to 4 dps? -0.0033 Round -25231.807 to the nearest 1000. -25000 What is 4.79474 rounded to three dps? 4.795 What is 9043.96 rounded to the nearest 10? 9040 Round 0.00001215437 to 6 decimal places. 0.000012 What is -0.002763852 rounded to 5 dps? -0.00276 Round -813020 to the nearest ten thousand. -810000 What is 8623637.5 rounded to the nearest ten thousand? 8620000 Round -832.972 to the nearest integer. -833 Round 10.69113 to 2 dps. 10.69 Round -129.7368 to the nearest ten. -130 What is -107681770 rounded to the nearest one hundred thousand? -107700000 Round -230.4176 to the nearest 100. -200 What is -46682.26 rounded to the nearest 100? -46700 Round -0.4868891 to 4 dps. -0.4869 What is -585921.64 rounded to the nearest one thousand? -586000 Round -88755200 to the nearest one million. -89000000 Round -7399100 to the nearest one million. -7000000 What is -55.26123 rounded to the nearest ten? -60 What is -8.2205568 rounded to 3 dps? -8.221 What is -0.00053657256 rounded to 7 decimal places? -0.0005366 Round -0.00009663418 to seven decimal places. -0.0000966 Round -2889070 to the nearest 10000. -2890000 Round 1372.39 to the nearest one hundred. 1400 What is -149.06063 rounded to one decimal place? -149.1 Round -0.00039661113 to five dps. -0.0004 What is 20148.127 rounded to the nearest 10? 20150 Round -1363727000 to the nearest 1000000. -1364000000 What is 0.03638971 rounded to 4 decimal places? 0.0364 Round -609.5791 to the nearest 10. -610 Round -496.627 to the nearest ten. -500 What is -126.4371 rounded to zero decimal places? -126 Round 0.0000567575 to five dps. 0.00006 What is 9407.48 rounded to the nearest 1000? 9000 Round -0.01268553 to 5 decimal places. -0.01269 What is 25105699 rounded to the nearest one hundred thousand? 25100000 Round 17935.984 to the nearest 1000. 18000 What is -1.991125 rounded to 2 decimal places? -1.99 Round -8924800 to the nearest one hundred thousand. -8900000 Round 5973.97 to the nearest one thousand. 6000 What is 36710.6 rounded to the nearest 1000? 37000 What is 0.0005687353 rounded to five dps? 0.00057 Round -1361.545 to the nearest 100. -1400 What is 0.57952 rounded to 1 dp? 0.6 What is 1.21514 rounded to 2 decimal places? 1.22 Round -3085488.3 to the nearest 1000000. -3000000 What is -229034000 rounded to the nearest 1000000? -229000000 Round 1.656087 to 2 dps. 1.66 Round -0.003378486 to five decimal places. -0.00338 Round 281.842 to the nearest ten. 280 What is 5170700 rounded to the nearest 1000000? 5000000 Round -0.0000381809 to five decimal places. -0.00004 Round 0.0009454756 to four dps. 0.0009 What is -252100.9 rounded to the nearest one hundred thousand? -300000 What is 3.0780418 rounded to 3 dps? 3.078 Round 6.33334 to the nearest integer. 6 Round -0.4721275 to two decimal places. -0.47 What is -0.00010192911 rounded to five dps? -0.0001 Round -16.100926 to 0 dps. -16 Round 816060 to the nearest one thousand. 816000 What is -1309752.7 rounded to the nearest ten thousand? -1310000 Round 3.319627 to one decimal place. 3.3 Round 2166.151 to the nearest integer. 2166 Round 1120698 to the nearest one thousand. 1121000 Round -0.013149353 to four decimal places. -0.0131 Round 0.00009741914 to 5 decimal places. 0.0001 Round 4.20973 to one decimal place. 4.2 What is -0.0
{ "pile_set_name": "DM Mathematics" }
Suppose 0*w = 2*u + 2*w - 54, -115 = -g*u - w. List the prime factors of u. 2, 11 Suppose -4*j + 3*t = -100 - 372, -4*t + 16 = 0. List the prime factors of j. 11 Let q be 2/((-2)/9)*1. Let i = -1 - q. What are the prime factors of i? 2 Let g(u) = -3*u - 3. Let h be g(-2). Suppose 0 = -h*o - 11 + 59. What are the prime factors of o? 2 Let a = 17 + -12. Suppose -5*q - 4 = -a*z - 3*q, 1 = 2*z - q. Suppose -x = z - 14. List the prime factors of x. 2, 3 Suppose 2*l = -3*l - 5. List the prime factors of ((-22)/(-8))/(l/(-16)). 2, 11 Suppose -5*f = -f. Let y = f + -3. Let s = y - -5. List the prime factors of s. 2 Suppose -5*c + b - 2 = 0, 4*c + 6 = 3*c + 3*b. Suppose c = 3*u + 27 - 114. Suppose 0 = -2*m + o + 2*o + u, 3*m - 49 = -o. List the prime factors of m. 2 Let a = -5 + 9. List the prime factors of a/6 - 20/(-6). 2 What are the prime factors of (-531)/12*8/(-2)? 3, 59 Let l(t) = 6*t**2 - 5*t + 4. List the prime factors of l(3). 43 Let r(z) = 4*z**2 + 2*z + 1. Let g be r(-1). Suppose 2*a + a = -2*c + 12, -18 = -g*c + 2*a. What are the prime factors of c? 2, 3 Let k be (-4)/(-8) + (-1)/(-2). Suppose -3*t - 28 = -k. Let r(v) = v**3 + 9*v**2 - v - 7. List the prime factors of r(t). 2 Let m be 2/(1/(3 - 2)). Suppose 4*j = m*j + 8. List the prime factors of j. 2 Let m = -1 - -3. Suppose 3*x - 151 = k, -x + 4*k + 1 + 31 = 0. Suppose -5*s - m*z = -35, 5*z = -4*s - 7 + x. List the prime factors of s. 5 Let t be (-1 - -7)*10/4. Let j = -1 + t. What are the prime factors of j? 2, 7 Let y(o) = o**3 - 7*o**2 + 4*o + 4. Let n be y(6). Let t(w) = w**3 + 8*w**2 + w + 8. Let z be t(n). Let l = z + 7. List the prime factors of l. 7 Let v(z) = z**3 + z**2 - 2. Suppose 0*t = -t + 2. List the prime factors of v(t). 2, 5 Let b be (-5)/1*-17 + 0. Suppose -5*i + b = -0*i. List the prime factors of i/4 - 3/12. 2 Let n = -30 + 51. Let p = 34 - n. Let h = p - 7. List the prime factors of h. 2, 3 Let i = -78 - -144. What are the prime factors of i? 2, 3, 11 List the prime factors of 4*7/(-14)*302/(-2). 2, 151 Let o = 11 + -15. Let p(f) = 3*f**2 + 3*f - 5. List the prime factors of p(o). 31 Let z = 41 + -32. What are the prime factors of z? 3 Suppose -2*v - v - 4*l - 11 = 0, -2*l - 10 = 0. List the prime factors of v. 3 Let o(l) = l**3 - 3*l**2 - 5*l - 2. Let i be o(5). Let v = 0 + -10. Let w = i + v. What are the prime factors of w? 13 Let h(j) = 2 + 3*j - 1 - 7. Suppose -3*y + 9 = -i - 2*i, -4*y - 5*i = -21. What are the prime factors of h(y)? 2, 3 Suppose -w - 1 = -19. Let d = w + -7. List the prime factors of d. 11 Let b(v) = 2*v**2 + v - 2. Let o be b(-2). Suppose -5*i + 2*j + 60 = j, 0 = o*j. List the prime factors of i. 2, 3 Let i(w) = -w**2 - w - 5. Suppose -u - u = 0. Let s be i(u). List the prime factors of (0 + s)*6/(-3). 2, 5 Let a = 105 + 160. What are the prime factors of a? 5, 53 Let n be (-2)/3*45/(-10). Suppose -n*h - 14 = -38. What are the prime factors of h? 2 Suppose 3*g + 4*o = 6, 5*g - 8 = 5*o + 2. Suppose 0 = g*l - l - 2. What are the prime factors of ((-3)/(-6))/(l/60)? 3, 5 Let t be (-4)/12 + (-17)/3. Let i(l) = -7*l - 7. Let v be i(t). Suppose 4*f = 9*f - v. What are the prime factors of f? 7 Suppose -44 = -2*o + k, 5*o + 10*k = 5*k + 95. List the prime factors of (o/6)/((-2)/(-4)). 7 Suppose 3*p - 4*j - 2 = 24, 3*j = p - 2. What are the prime factors of p + 1/(-2)*2? 13 Suppose -1096 + 208 = -8*j. List the prime factors of j. 3, 37 Let g = 12 + -8. Suppose 0*a - g*a - b = -20, 5*a + 3*b - 32 = 0. Suppose 0*j = -a*j + 40. What are the prime factors of j? 2, 5 Let a(o) = 2*o**3 - 7*o**2 - 6*o - 14. What are the prime factors of a(7)? 7, 41 Suppose -162 + 942 = 5*q. List the prime factors of q. 2, 3, 13 Suppose -172 = -4*h + 92. Suppose -h = -5*j - 6. List the prime factors of j. 2, 3 List the prime factors of ((-627)/6 - -5)*1*-2. 199 Suppose -4*w = -4*g + 288, -w - w = 4*g - 288. What are the prime factors of g? 2, 3 Suppose 21 + 3 = 4*t. Suppose -3*v - 6 = -t*v. What are the prime factors of v? 2 Let w = -8 - -77. What are the prime factors of w? 3, 23 Let h(w) = -w**2 + 6*w + 5. Let m be h(8). Let g = 34 + -17. Let b = m + g. What are the prime factors of b? 2, 3 Suppose -3*p = -12, 2*p - 8 = w + 2. Let u = w + 14. What are the prime factors of u? 2, 3 Let g(f) = -f**2 - 4*f - 3. Let q be g(-3). Let s be (3/1 + -4)*q. Let d = 4 - s. What are the prime factors of d? 2 Suppose -2*u - 87 = -5*u. List the prime factors of u. 29 Suppose 17*s + 60 = 18*s. List the prime factors of s. 2, 3, 5 Let i(n) = -n**2 - 16*n - 12. Let u be i(-15). Suppose 5*g = 2*g - 4*z + 49, 0 = u*g - z - 44. What are the prime factors of g? 3, 5 Suppose -5*p - 13 = -33. Suppose 0 = p*c + 32 + 16. Let r = 3 - c. List the prime factors of r. 3, 5 Let f(h) = -h**3 - h + 193. List the prime factors of f(0). 193 Suppose t - 2*d + 3 - 4 = 0, -2*d + 5 = -3*t. Let o(i) = i**3 + 5*i**2 - 2*i - 4. List the prime factors of o(t). 2, 5 Let o(y) = -2*y + 4. Let n(u) = -u - 7. Let i = -12 + 9. Let p be n(i). What are the prime factors of o(p)? 2, 3 Let i be 5*(2 - (-8)/(-5)). Let g = 6 + -8. What are the prime factors of 2/g*(-7 - i)? 3 Let k(l) be the first derivative of l**4/4 - l**3/3 - 5*l**2/2 - 3*l - 1. Let g be k(-3). What are the prime factors of g/(-2) + (0 - 1)? 11 Suppose -w = -2*w. Suppose w = m - 5*q - 38, 3*q = 4*m - 50 - 34. What are the prime factors of m? 2, 3 Let x be (-236)/(-16) - (-2)/8. Suppose -5*v + 5 = -x. What are the prime factors of v? 2 Suppose 2*p + 3*g - 4 = 0, 6*p = p - 2*g + 10. Let k(z) = -9*z - 2. Let c be k(p). List the prime factors of (72/c)/((-2)/5). 3 Let k be 4/(-6)*(-15)/(-10). What are the prime factors of (-500)/(-10) + 0 + k? 7 Let m(f) = f**2 - 2*f + 2. What are the prime factors of m(13)? 5, 29 What are the prime factors of 0 - 4 - -1*(231 + -8)? 3, 73 Let y(z) = 3*z. Let c be y(2). Suppose -c*n + n = -20. Suppose 9 = 3*q - 3*r, 5*r - n*r = -5*q + 27. What are the prime factors of q? 5 Suppose 0*d = -5*d - 60. Let c = 21 - d. Suppose 0*t = -3*t + c. What are the prime factors of t? 11 Let m = -2 - -3. Let p be 4 + (0 - 1 - m). Suppose 0 = h - p. What are the prime factors of h? 2 Suppose -3*y - 4 = 2*z + 3, 2*z - 3*y + 13 = 0. Let g(l) = -6*l - 3*l**2 - 2 + 0*l**2 + 2*l**2. List the prime factors of g(z). 3 Let c(r) = r**3 + 12*r**2 + 11*r + 7. List the prime factors of c(-9). 151 What are the prime factors of (-6)/9*-3*(5 - 3)? 2 Let b(t) = t**3 - 7*t**2 + 2*t + 7. Let z be b(6). Let q = z + 29. What are the prime factors of q? 2, 3 Let f be 432/42 + (-2)/7. Let t = f - -4. List the prime factors of t. 2, 7 Let s be 102/(3 - (1 + 0)). Let v = -3 - -3. Suppose 0 = -l - v*h + h + 3, 0 = 5*l + 4*h - s. What are the prime factors of l? 7 Let z(g) = -2*g - 1. Let s be z(-2). Let f(y) = y**2 - 4*y + 3. Let a be f(s). Suppose a = 3*x + 3, 6 = m - x - 2*x. List the prime factors of m. 3 Let d = -146 - -254. List the prime factors of d. 2, 3 Let r = 9 - 24. Let x(z) = -z**3 - 15*z**2 - z - 3. What are the prime factors of x(r)? 2, 3 Let s(x) = 168*x**2 - 5*x + 4. List the prime factors of s(1). 167 Let y(s) be the second derivative of s**4/12 + s**3/6 + 3*s**2/2 - 2*s. What are the prime factors of y(-3)? 3 Suppose 15 = 2*r + 3. What are the prime factors of r? 2, 3 Let f(a) be the third derivative of a**5/5 - 7*a**4/24 - 5*a**3/6 + a**2. Let d be f(-4). List the prime factors of 2/5 - d/(-25). 3 Let g(c) = -c**3 - 9*c**2 - 30*c - 8. List the prime factors of g(-9). 2, 131 Suppose 4*u + 4*s - 6 = 3*u, 2*u - 5*s = -1. Suppose -48 = -u*d + o, d + 5*o - 53 = -18. List the prime factors of d. 5 Suppose j - 8 = 5*j - x, 2*x = 0. Let v = 7 - 4. What are the prime factors of (-3)/(j/4*v)? 2 Let p(u) = -2*u + 30. List the prime factors of p(-14). 2, 29 Let p(n) = 15*n - 48. List the prime factors of p(7). 3, 19 List the prime factors of (-786)/(-4) + ((-13)/2 - -7). 197 Suppose 0 = -6*f + 39 + 105. List the prime factors of f. 2, 3 Let i = -9 - -13. Suppose -i*s + 15 + 33 = 0. List the prime factors of s. 2, 3 What are the prime factors of (6 - 3) + (44 - 1)? 2, 23 Suppose 0 = -2*g - 3*g + 60. Suppose 0*a = -a + g. List the prime factors of a. 2, 3 Suppose -3*t + 10 = -8*t. List the prime factors of (1/t)/(2/(-28)). 7 Let y = -2 + 5. Let d(a) = a + 4*a
{ "pile_set_name": "DM Mathematics" }
t is the value of 2/5 + 264/165? 2 (-13)/(-57) + -1 + 6/9 -2/19 Evaluate 6/9 - 4/(-3). 2 What is 6/(-27) - (-1904)/14076? -2/23 -3 + -3*(-3 + 0) - -1 7 -10*(-1 + 2*12/16) -5 Evaluate (-153)/54 - 1/2 - -4. 2/3 Evaluate -1*(-2 - 18)/(-4). -5 (9/4)/(324/(-864)) -6 What is the value of ((-4)/38)/(3 - 4)? 2/19 Calculate (-2*12/(-16))/3. 1/2 What is (-40)/(-112)*(-84)/70? -3/7 (2/14 + (-46)/28)*-2 3 What is (21/42)/((-1)/2)? -1 What is the value of (0 - (-3)/30)*2? 1/5 ((-4)/12)/((-1)/(-12)) -4 2/(28/(-8) + 6) 4/5 -1 - ((-9)/21 + 0) -4/7 Calculate -1 + -6 + 5 + (-32)/(-10). 6/5 ((-34)/(-51))/(21/18) 4/7 What is (-3570)/945 + 1/(9/(-2))? -4 What is the value of (-46)/(-10) + (4 - 8)? 3/5 What is the value of (5/(-20))/((-28)/(-1232))? -11 What is the value of 1 + 7 - (-4)/(20/(-15))? 5 What is (((-216)/88)/9)/3? -1/11 What is (-11)/(-14) - -2*(-3)/21? 1/2 What is (-12)/10 - -1 - 750/(-625)? 1 Calculate (-37)/44 - (112/(-22) - -5). -3/4 What is (-29)/406 - (-276)/(-56)? -5 What is the value of 301/(-387)*(-3)/4*2? 7/6 Evaluate (3/4)/((-5)/((-960)/(-252))). -4/7 Calculate (99932/(-1092))/43 - (-10)/6. -6/13 Calculate 1 + 150/(-12) + 9. -5/2 What is the value of (2/16)/(15/(-180))? -3/2 What is the value of (2/16)/(14/(-8) + 1)? -1/6 What is the value of 1 + 0 - 48/8? -5 What is (96/56)/(4/14)? 6 What is (-1)/2*2 - (9 + -9)? -1 What is the value of (-130)/200 - (-1)/4? -2/5 Evaluate ((-14)/(-4) + -2)/((-15)/6). -3/5 Evaluate (8 + -15)*1 - 171/(-21). 8/7 Calculate (0 - (1 + 2))/(193 + -192). -3 What is (-1 + 1)/(-3) + 4/(-2)? -2 24/44 + 1027/(-572) -5/4 (-20)/24 + 0 + 3 + -2 1/6 Calculate 2 + 2/(-1) - (-8 - -4). 4 (-11)/(-44) - 6/88 2/11 What is 6 + (-1)/2*2? 5 Calculate 4 - (-6 - 7/(-1)). 3 Calculate (-14)/119 + 522/102. 5 What is the value of 22/(-6) + (-8)/(-12)? -3 Calculate ((-48)/(-52) - 1)*4/2. -2/13 ((-20)/(-5))/(-6 + 60/8) 8/3 10/2 + (-92)/20 2/5 Calculate 4/(-14) - 2/(-14)*23. 3 What is the value of (-412)/3399 - (-6)/(-11)? -2/3 Calculate 4 + -1 + -5 + 6. 4 What is 180/990 - (-93)/33? 3 What is 35/210*(0 + 3)? 1/2 Evaluate (0 - 0) + -1 - 8/(-12). -1/3 Calculate ((-2)/(-6) + 19/(-114))*3. 1/2 What is the value of 3 + 0 + -1 - (-45)/(-10)? -5/2 Calculate -1 - 54/(-66) - 144/(-429). 2/13 Evaluate 1/(-1 - (1 + 2)). -1/4 What is the value of (-8 + (-15)/(-5))*(-30)/350? 3/7 What is (-216)/(-48) + 1/(-2 + 0)? 4 0 - (4 - 1) - (-18 + 20) -5 Evaluate 2/4 + 15/(-140)*2. 2/7 ((-2)/3)/(16/72) -3 Evaluate ((-50)/1925)/(((-2)/7)/2). 2/11 Calculate ((-5)/10*-2)/(1*-2). -1/2 What is the value of (-2)/((110/(-99))/((-40)/45))? -8/5 Evaluate -3 - (-7 - (2 + 8/(-4))). 4 What is (2/18)/((-64)/(-576))? 1 Calculate (-68)/(-36)*-2 - -2*2. 2/9 Evaluate 7 + 138/(-9) + 8. -1/3 (-8)/(-4) - (84/(-8))/(-7) 1/2 -6*(-1)/2 - 7 -4 Calculate (-112)/168*(-3)/2. 1 What is (-14)/3 + (-11)/33? -5 What is the value of (-49 + 48)*(0 + 1)? -1 (-10)/(30/9) + -1 -4 What is the value of (2/(-8))/(3/48)? -4 Evaluate (-3)/(140/16 + -8). -4 What is the value of -3*(2 + 49/7 + -10)? 3 Calculate (5 + 1)*(11 + -10). 6 What is (-1 + 1 + -1)*1? -1 Calculate ((-50)/18 - -3) + 87/(-27). -3 What is the value of (6 - 188/30)*3/6? -2/15 Evaluate (-36)/(-63) - (-4 - (-8 + 4)). 4/7 What is the value of ((-2)/(-3))/(4/72*-2)? -6 (-313)/(-1565) - (-108)/10 11 What is (-7)/7 - (-26)/(-60)*-2? -2/15 Calculate 50/20*4/(-25). -2/5 (-2)/25 + (-762)/(-150) 5 Evaluate 12/24 - 7/2. -3 Calculate (3/(25 - -2))/((-2)/(-6)). 1/3 What is (-4)/10*325/(-65)? 2 Calculate ((-10)/2)/1*1. -5 What is 2/(-12) + 38/12? 3 Calculate (55/(-22) + 2)*(-1)/(-4). -1/8 Evaluate (-2)/63*-2 + (-4)/14. -2/9 Calculate 19/(-19) - 14/(-2). 6 What is -2 + -3 + (3 - -1)? -1 Calculate ((-70)/(-20))/(((-6)/6)/(-2)). 7 (((-40)/(-5))/4)/(-2) -1 What is -1 + (-5)/(-7) + 160/364? 2/13 Evaluate (-68)/(-18) - 2/(-9). 4 What is the value of (-16)/(-10) - (-2)/5? 2 (-90)/(-150) + 22/(-20) -1/2 What is ((-2)/9)/(36/(-432)) - 4? -4/3 (-972)/(-297) - 3/11 3 ((-30)/6)/5*0 0 What is the value of 31/(-6) + -8 + (-539)/(-66)? -5 (101 - 102) + (-2)/4 -3/2 Calculate 16/48*3/12. 1/12 Calculate ((-33)/(-55))/(12/140). 7 1*(-9)/18*-22 11 What is the value of (1 + 35/(-20))/((-1)/(-4))? -3 What is the value of -9 - -11 - (0 + 0)? 2 Evaluate (18/171)/(20/38). 1/5 (9 - 6) + (3 - 10) -4 (-6)/((-660)/34) - (-8)/(-20) -1/11 ((-9)/(-171))/(2/(-4)*2) -1/19 (-7)/(-28) - (-3)/4 1 What is 6*(-55)/(-24) + -14? -1/4 (-363)/(-88) + ((-16)/(-2))/(-2) 1/8 ((-5)/(-25))/(32/(-20)) -1/8 What is (1/22)/((-3)/12)? -2/11 Evaluate 9/(-2)*(-278)/(-417). -3 Evaluate -13 + (-1287)/(-65) + -7. -1/5 What is (-135)/(-15) + 4 + (-5 - 1)? 7 What is (0 - 0 - 1)/((-352)/(-1760))? -5 Calculate (64/(-80))/((-26)/10 + 3). -2 Calculate 141/36 - 12/(-144). 4 Evaluate (2/(-2))/(-4 - 51/(-12)). -4 Calculate 2/16 - (17552/(-896) - -20). -2/7 Evaluate 20*(6/(-24) + 0). -5 What is 2*((-120)/16 + 6)? -3 What is (-9)/(-15) + (-54)/15? -3 Calculate (1991/(-330) - -6)*3. -1/10 Calculate ((-11)/(-44))/((-4)/32). -2 What is the value of 13 + -7 - 1/(3/14)? 4/3 Evaluate -9*(-10)/180*12. 6 What is the value of (2/5)/(8/10)? 1/2 (-22)/28 - 14/(-28) -2/7 What is the value of (429/572)/(3/(-20) - 0)? -5 Calculate ((-3)/(-14))/(66/44). 1/7 Evaluate -4*(18/(-4) + 5). -2 Evaluate (0/(-1) - -1)*(7 - 8). -1 Evaluate (81/(-18))/9 - 2/(-2). 1/2 Evaluate (-420)/765 - (-4)/6. 2/17 ((-74)/(-111))/((-2)/(-3)) 1 What is -3 - (-6 - -2 - (0 - 3))? -2 188/141 + (-2)/6 1 What is the value of 1/(96/680) + -7? 1/12 What is the value of ((-2)/42)/(2*(-2)/12)? 1/7 Calculate (1 - (-20)/(-35))*7. 3 What is the value of (3 - 6)*(8 + 970/(-120))? 1/4 What is the value of (-8 + (-2)/2)*(-50)/(-300)? -3/2 10*(-1*(-5)/(-2) + 2) -5 Evaluate (26 - 31)/((-1)/((-3)/(-5))). 3 Evaluate 4 - ((-56)/(-7) + (-1 - 0)). -3 Calculate (0/3 + 0)*1/(-2). 0 What is the value of 0 - -2 - (-56)/((-24)/3)? -5 ((-288)/6)/24 + 4*-1 -6 Evaluate (-28)/(-4) + 0 + -6. 1 Calculate 220/(-154)*(-1)/5. 2/7 What is (38/(-3) + 10)/(-8)? 1/3 4*(3*8/(-12))/2 -4 12/(-4) + 3 + 15/(-3) -5 Evaluate ((18/(-2))/3)/(69/161). -7 Calculate (-84)/(-98)*(0 - (-21)/6). 3 What is 9/12 + ((-1)/(-4))/1? 1 What is 92/20 - (1 - -14)/3? -2/5 Evaluate (-54)/30 + 2/(-10). -2 What is -4 - (-11 - -6*(-4)/(-6))? 3 Evaluate (490/40 - 10)/(42/16). 6/7 (12/(-54))/((-4)/15) 5/6 Evaluate 14/(-49)*-7 - 2. 0 1578/180 + -9 + 1/(-10) -1/3 Calculate 12*11/660*-25. -5 What is the value of (-4 + 1)*1 - (-26 - -21)? 2 What is (((-120)/50)/(-4))/((-6)/(-20))? 2 Evaluate (-4 - 14/(-3))*3. 2 Evaluate (-4)/22 + 504/(-352)*-1. 5/4 Calculate (324/84 + -4)*(0 + -2). 2/7 Calculate (-7)/((-28)/(-32)) - -17. 9 Calculate 108/32 + (-3)/1. 3/8 Calculate (-5)/100*-5*0. 0 What is the value of 24/36 + (-28)/6? -4 What is ((-2 - -1)*-1)/((-13)/(-39))? 3 ((-72)/(-40))/((-2)/(-10)) 9 Evaluate 0 - 3 - 3/(27/(-36)). 1 What is 2*(3/60 + 0)? 1/10 Calculate 86/198 - (-51)/459. 6/11 Evaluate 1*-3*1/27. -1/9 (-2)/(19/(114/28)) -3/7 What is 2 + ((-8)/(-1) - 5) - 5? 0 What is the value of 63/14 - 2163/462? -2/11 What is ((-66)/77)/((-3)/(-14))? -4 What is 18/4 + (-1)/(-2)? 5 Evaluate ((-6)/(-16))/(3 + 9/6). 1/12 Evaluate (8/(-14) + 6/(-14))*2. -2 (5/(-93 + 8))/(2/(-4)) 2/17 What is (8/(-4) - -3)/(7 + -6)? 1 What is (-1)/(-3) + (-92)/69 + -5? -6 What is -5*(-4)/(-70)*21? -6 What is (-9)/4 + (-228)/(-96)? 1/8 What is (-11)/11 + 14/8? 3/4 What is the value of -1 + 80/(-25) - -4? -1/5 Calculate (-1)/(-26)*(3 + -7). -2/13 Evaluate (-2 - (-134)/65)/(8/(-20)). -2/13 Calculate ((-32)/40)/(10/50). -4 Evaluate (74/(-111))/(-2 + (-26)/(-9)). -3/4 What is (-195)/(-225) - (-1)/(-5)? 2/3 ((-198)/88)/((-6)/8) 3 (-1)/((20/(-25))/(-4)) -5 Calculate ((1/3)/1)/((-25)/60). -4/5 What is 28/(-70) - (22/5)/(-1)? 4 What is (-4)/18 - (-32)/(-288)? -1/3 What is 10/(-40)*-20 - 12? -7 What is the value of -1*(36/54)/((-2)/15)? 5 What is the value of 4/(-10)*1/(-7)*5? 2/7 Evaluate (-2)/8 + 3 + (-50)/24. 2/3 (-21)/(567/(-18))*(-9)/6 -1 Evaluate 1/2 - (-21)/(-34). -2/17 (1 + 0)*(-4 - -5) 1 (-2)/(3 + (-34)/6) 3/4 What is ((-52)/(-546)*-6)/((-4)/14)? 2 What is 280/(-45) - 4/(-18)? -6 Calculate -5 - 25/(250/(-48)). -1/5 (42/(-6) - -10 - 2)/(-6) -1/6 What is the value of (-5)/(-15) - 5/(-3)? 2 What is the value of ((-5)/2)/(-1)*(-12)/(-105)? 2/7 11/(-22)*24/(-42) 2/7
{ "pile_set_name": "DM Mathematics" }
composite? True Let l be 3*(-1)/(-3) + 1. Let u be 293/(l + (3 - 4)). Suppose k - 2*k + u = 0. Is k prime? True Suppose -4012 = 41*j - 45*j. Is j composite? True Let r(h) = 48*h**2 + 68*h - 139. Is r(-31) prime? False Suppose -2*w = 3*h - 111363, -2*h + w = -61709 - 12540. Is h a composite number? False Suppose 3*h - 22851 = -4*w, 0 = -4*w - 12. Is h prime? True Suppose -f + 2*q + 14963 = 0, f - 3*q - 5718 = 9250. Is f a composite number? True Let w(y) = y + 12. Let n be w(-13). Let d be (15 - -14)/(n/8). Let o = d + 483. Is o prime? True Let q = 13463 + -6042. Is q composite? True Suppose 1 + 3 = -2*m, -4*g - m = 2166. Let c = g - -1310. Is c a composite number? False Suppose -9078 = -j + 5*l, -3*j + 2*j + l = -9074. Is j composite? True Let k(r) be the third derivative of -r**6/40 + r**5/12 + r**4/12 - r**3/6 - 7*r**2. Is k(-7) a composite number? False Suppose 9*z = 10*z - 11. Suppose z*m = 8*m + 753. Is m a composite number? False Suppose -3*w + 8189 = -z, -5*z + 4*z - 5460 = -2*w. Is w a composite number? False Let g = -9703 - -20426. Is g composite? False Let o(d) = -d**3 + 69*d**2 + 2*d - 19. Is o(29) composite? False Suppose a - 3*u - 29720 = 2996, -2*a - 3*u = -65405. Is a a composite number? False Let f(x) = 9*x**2 - 12*x + 13. Is f(4) prime? True Let o = 6720 - 1553. Is o a composite number? False Let p = -750 - -1589. Is p prime? True Suppose 35 = 3*n - 10. Let h(d) = 3*d**3 + 16*d**2 - 2*d + 12. Let q(o) = -4*o**3 - 16*o**2 + 2*o - 11. Let b(x) = 5*h(x) + 4*q(x). Is b(n) prime? True Suppose -j - 4*r + 1 = -178, 0 = -4*j + 4*r + 776. Is j a composite number? False Let o(q) = q**2 - 12*q + 4. Let h be o(12). Suppose 4*l = -4*a + 848, l + 152 + 902 = 5*a. Suppose -a = -5*v + h. Is v a composite number? False Suppose 3*z + 3*q + 29 = 68, -2*q = -4*z + 70. Suppose 6*s = 2*s + z. Suppose -h = -s*n + 345, -78 = -n + 5*h - 2*h. Is n prime? False Let t(x) = 8*x - x**2 + 41*x - 12*x + 0*x**2 - 3. Is t(17) a composite number? False Suppose -6 = 2*k + g, 4*g - g = -3*k - 6. Let l be (2/4)/(k/(-24)). Suppose 199 = l*o - 2*o. Is o composite? False Let r = 281 - 42. Suppose 4*g = -r + 891. Is g a composite number? False Suppose 34*r = 39*r - 25755. Let h = r + -3002. Is h prime? False Let u be ((-8)/24)/((-3)/(-9)). Let t be (u - 5)/((-3)/(-2)). Let x(f) = -186*f - 1. Is x(t) a prime number? True Let l(y) = -15*y**2 + 6*y + 3. Let z be l(5). Let r(p) = 88*p**2 + 5*p + 2. Let h be r(-3). Let i = h + z. Is i composite? True Suppose -18*c + 21*c - 6 = 0. Suppose c*t - 159 = -11. Is t a composite number? True Suppose -24*h = -7*h - 958307. Is h composite? True Suppose 36 = 3*z - 2*h, 1 - 63 = -5*z + 4*h. Let k be 1 - 5/z*-4. Suppose -f - k*f + 452 = 4*m, -f + 573 = 5*m. Is m prime? False Suppose 2*v = -1 + 25. Suppose 0 = -4*q + 12, -v = -5*g - q - 3*q. Suppose g = 3*k + 4*j - 1055 - 134, -j = -3*k + 1214. Is k a prime number? False Let l(g) = -g**2 + 6*g + 6. Let z be l(4). Let a be 105/z*(43 - -1). Suppose -a - 765 = -5*o. Is o prime? False Suppose -6*j = -10216 - 182. Is j a composite number? False Suppose 0 = -x + 5, 4*x + 2 = -2*j + 22. Suppose 3*c + 2*c - 645 = j. Is c a prime number? False Suppose 11 = w - 0. Is 118/6*(w - -46) a prime number? False Suppose 0 = -3*d + 3*x - 2*x + 50428, -5*d = 2*x - 84065. Is d a prime number? True Let n = 2542 - 788. Is n composite? True Is ((-12234)/9 + (-10)/6)/(-1) a composite number? False Let d be 1*-37 - (-17 - -17). Let l = 40 + d. Suppose -4*a + 311 = -3*a - h, 2*a - l*h - 626 = 0. Is a prime? True Suppose -4*f + 8 = -8*f. Let u(r) = -r**3 + 15*r**2 - 13*r - 17. Let d be u(14). Is (-23)/(d + (-5)/f) a composite number? True Let u be 1/2 - 6/12. Suppose u = 2*b + 4. Let p(q) = 23*q**2 - 2*q - 3. Is p(b) a composite number? True Let c = -114 + 76. Let i = c + 69. Let s = i - -310. Is s prime? False Suppose j = -p + 1, -j + 7 = 2*p + p. Is (1 + (381 - p))*5 a composite number? True Let a be (1 - 318)*(-17 - -10). Suppose -3*f - a = -10*f. Is f prime? True Let p be (-1 + 4)*(6 + -5). Suppose -10 = -5*g, 3*d - g - p*g - 1210 = 0. Let n = d - -111. Is n composite? True Let k be 12/(-4) + 3 + 669. Suppose -5*n - k = -8*n. Is n composite? False Suppose -5*y - 3*z - 970 = 0, 2*z - 945 = 8*y - 3*y. Let l be (-33*3)/((-3)/2). Let s = l - y. Is s prime? True Suppose 5*g + a = 15, -g - 18 = -0*g - 4*a. Suppose 12 = -5*y + 3*i, 5*i = 2*y - y - g. Is (y + 2 - 0)*-337 composite? False Suppose 24 = 5*w - 16. Is (w - -3213)/(1 + 0) a composite number? False Let i(z) = 25*z + 21. Suppose -37 = -l - 23. Is i(l) prime? False Let f = -60 - -73. Suppose f*u = 8*u + 7330. Is u a prime number? False Let b = -34 - -38. Suppose -2*s - 2775 = -2*x - 3*x, -b*x = 2*s - 2202. Is x a prime number? False Let v = -8444 - -19843. Is v prime? True Suppose 252 = r + 2*r. Let n = r + 589. Is n composite? False Suppose 15*o - 78827 = 82438. Is o prime? False Let j(d) = -1844*d + 121. Is j(-6) composite? True Let f(w) = 2*w + 5. Let a be f(-11). Let g = 14 + a. Let i(h) = -511*h + 2. Is i(g) a composite number? True Let h = 53515 + -34988. Is h a prime number? False Let x be (-2)/4*8/1. Let w(n) = -16*n**2 + n - 5. Let a(y) = -8*y**2 + y - 3. Let h(s) = -5*a(s) + 2*w(s). Is h(x) a prime number? False Let b be ((-48)/40)/(3/(-320)). Suppose a + y - 130 = 0, 2*a - b - 117 = 3*y. Is a a prime number? True Suppose 2*k - 14 = -5*k. Suppose 0 = 2*j - 4*h - 422, -5*h + 980 = 3*j + k*j. Suppose 0 = -6*z + 5*z + j. Is z prime? False Suppose 0 = b - 2, j - 2*j - 4*b + 6811 = 0. Is j a prime number? True Suppose -3*z + 4 = -2*z. Suppose z*h - 1032 = -4*j + 484, 0 = 2*j - h - 758. Is j composite? False Suppose 5*z - 9 = -3*s, 0*s + 2*s - 6 = -2*z. Suppose -1004 - 6373 = -s*i. Is i prime? True Suppose 21*t - 34*t = -10595. Is t composite? True Let h(d) = -661*d**3 - 6*d**2 + d - 7. Is h(-3) a prime number? True Let b = -2255 - -8862. Is b a composite number? False Let y(x) = 3*x**2 + 41*x - 17. Is y(12) composite? False Suppose -2*h = -u + 673, -5 - 3 = -4*h. Suppose 2369 - u = -3*q. Let f = q - -1033. Is f a prime number? False Let v be (-3)/3*4/(-2). Suppose -y + 16 = -5*b, 12 - v = -5*b - 5*y. Is (-2)/b*(-423)/(-6) prime? True Suppose 3*y = 8*y. Suppose -3*m = -2*w + 6*w - 987, y = -m - 3. Let k = w - 122. Is k composite? False Suppose -4*d = -4*t - 0*d, -5*d - 2 = -3*t. Let z be (t + (-14)/(-8))*740. Suppose -3*a + z = 18. Is a prime? True Suppose 4*a - 779 + 159 = -4*b, -4*b + 5*a = -593. Suppose -4*m - 4*n + 605 = -n, m = -n + b. Is m a composite number? False Let s = 74 - 74. Suppose s = 17*u - 24*u + 32263. Is u composite? True Suppose 21 = -5*r + 81. Suppose -r*g + 7*g + 2255 = 0. Suppose d + 3*d = k + 633, -4*k + g = 3*d. Is d composite? False Is ((-634)/(-3))/(-1 - (-55)/45) prime? False Let b(t) be the third derivative of -t**6/60 - t**5/12 - t**4/4 - t**3/2 - t**2. Let k(j) = 3*j**2 - 94*j + 27. Let f be k(31). Is b(f) a prime number? False Let u(d) = d**3 - 9*d**2 - 11*d + 14. Let s be u(10). Suppose 0 = -s*b, 4*a - b - b - 124 = 0. Is a composite? False Is (-97767)/(-189) - (-2)/(-7) a composite number? True Let j(h) = -h**3 - 8*h**2 - 8*h - 15. Let p be j(-11). Let g be p/4 - (2 + -2). Suppose 0*u = u - g. Is u composite? False Suppose 0 = -4*k - 1168 - 3152. Let g = -599 - k. Is g prime? False Let m(q) = 262*q**2 - 13*q - 101*q**2 + 14*q + 779*q**2. Is m(-1) a prime number? False Let b be (40338 - (1 + 2)) + 3. Let m be b/45 + 4/(-10). Suppose l = -3*x + m, -2*x + 713 - 3368 = -3*l. Is l prime? True Suppose -3*v = 2*w - 33380, -5*v = 2*w - 8*v - 33380. Let y = w + -11907. Is y a prime number? True Let b(y) = 9*y**2 - y - 2. Let h(x) = -x**3 + 12*x**2 - 11*x + 2. Let i be h(11). Let c be b(i). Is (c + 2)/((-6)/(-15)) a prime number? False Suppose 2*l - 12 - 14 = 0. Let g(j) = -8*j + 11 + l*j - 3*j + 4*j**2. Is g(4) prime? True Suppose 3*s = 7 + 5. Let p(c) = 10*c**2 + 4*c + 7. Let v(f) = -10*f**2 - 3*f - 7. Let i(r) = -4*p(r) - 5*v(r). Is i(s) prime? True Let g(r) = 125*r - 11. Let f(k) = -4*k**3 + 60*k**2 - 3 + 6*k + 2*k**3 - 57*k**2 + k**3. Let z be f(4). Is g(z) prime? False Suppose -4*d + 3654 = 2*z, -7*d - 2743 = -10*d - 4*z. Is d composite? True Let i be ((-92)/(-12))/(2/(-192)). Let h = 1171 + i. Suppose -4*k + 312 = -3*u -
{ "pile_set_name": "DM Mathematics" }
- 3 + 15*v**3 wrt v. 75*v**2 Let w(i) be the first derivative of -10/3*i**3 + 0*i**2 + 0*i + 37/4*i**4 - 39. Find the third derivative of w(a) wrt a. 222 Let a(d) be the first derivative of -687*d**5 + d**2/2 - 250*d + 1511. Find the second derivative of a(c) wrt c. -41220*c**2 Find the first derivative of -13762 + 7617 + 2830*m + 1164*m + 2189*m wrt m. 6183 Suppose 8*i = 31 + 1. Find the third derivative of 0*y**i - 106*y**2 + 10*y**4 - 4*y**2 + 19*y**2 wrt y. 240*y Let q(d) be the second derivative of 7*d**6/30 + 5*d**5/4 + 471*d**4/4 - 1139*d. Find the third derivative of q(z) wrt z. 168*z + 150 Let d(h) be the third derivative of -13*h**7/210 + h**6/15 - 203*h**5/15 - 33*h**2. What is the third derivative of d(p) wrt p? -312*p + 48 Let r(t) be the first derivative of -t**5/5 - 235*t**4/2 + 750*t**2 - 1279. What is the second derivative of r(i) wrt i? -12*i**2 - 2820*i Let u(t) be the second derivative of -t**4/4 + 1805*t**3/6 + 2111*t**2/2 - 22*t + 55. Differentiate u(g) with respect to g. -6*g + 1805 Suppose -5*s - 5 = 0, -4*y - 5*s + 162 = -3*s. Let x = 43 - y. Find the third derivative of 26*h - x*h**2 - 7*h**6 - 26*h - 4*h**2 wrt h. -840*h**3 Let x = -578 - -575. Let j(m) = 159*m**2 + 66*m + 3. Let d(g) = -5*g**2 + 1. Let c(q) = x*d(q) + j(q). Find the second derivative of c(r) wrt r. 348 Suppose 5*o - 18 = 4*a, -6*a = -4*o - 2*a + 12. Suppose -o*q = 7 - 19. What is the third derivative of 18*h**q - 5*h**4 + 13*h**5 + 5*h**4 - 31*h**5 wrt h? -1080*h**2 Suppose 2*t = 6 + 6. What is the third derivative of 3*h**2 - 26*h**6 - 11*h**t + 29*h**2 - 2*h**2 wrt h? -4440*h**3 Suppose 4*v - 9 = -21. Let s(w) = -w**2 - 2*w + 6. Let u be s(v). Find the second derivative of 0 - u - 4*i**3 - 5*i + 3 wrt i. -24*i Let u(x) = 1348*x + 1521. Let p(n) = 2697*n + 3023. Let a(t) = -4*p(t) + 7*u(t). What is the derivative of a(k) wrt k? -1352 Let z be (-6)/(-15) - 157/5. Let h = z - -37. What is the first derivative of -9 - 5*i - h*i + 2 wrt i? -11 Let u = 235 + -233. Find the second derivative of 146*j - 355*j - 104*j**u + 108*j - 29*j**2 wrt j. -266 Suppose 24 + 876 = 10*w. What is the derivative of -20 + 4*k - 96*k - w + 25 - k wrt k? -93 Let r(f) be the second derivative of -2*f**6/15 - 49*f**3/6 - 917*f**2/2 + 36*f + 6. Find the first derivative of r(c) wrt c. -16*c**3 - 49 Let j(i) be the first derivative of -35*i - 5 + 1/3*i**3 + i**2. Differentiate j(f) wrt f. 2*f + 2 Let q be 5 - (-5 + 6 + -5 - -5). What is the third derivative of -101674*h - 82*h**2 + q*h**4 - 13*h**6 + 101674*h wrt h? -1560*h**3 + 96*h Let n(q) be the first derivative of 0*q**2 + 9/5*q**5 + 82 - 121*q + 0*q**4 + 1/3*q**3. What is the derivative of n(u) wrt u? 36*u**3 + 2*u Let h(p) = 77*p**3 - 2*p**2 + 6*p - 1856. Let z(r) = -154*r**3 + 3*r**2 - 10*r + 3721. Let s(y) = -5*h(y) - 3*z(y). What is the derivative of s(f) wrt f? 231*f**2 + 2*f Let p(u) be the third derivative of -335*u**9/168 - 187*u**5/10 + 609*u**2. Find the third derivative of p(x) wrt x. -120600*x**3 Let t = 15930 + -15928. Let n(g) be the first derivative of 0*g - 19 + 31/3*g**3 + 0*g**4 - 22/5*g**5 + 0*g**t. What is the third derivative of n(x) wrt x? -528*x What is the derivative of 610*x + 137*x + 10244 + 1400*x wrt x? 2147 Let f(o) = -11*o - 19. Let r be f(-4). What is the third derivative of -33*d**2 - 35*d**2 - 10*d**2 + 189*d**3 + r*d**2 - 25*d**3 wrt d? 984 Find the third derivative of 4437*f**4 - 2 + 3 + 85108*f**2 - 82346*f**2 wrt f. 106488*f Let a be (-2)/((1/(-6))/(2/8)). What is the second derivative of -77*y**a - y**3 - 21*y - 49*y**3 - 2 wrt y? -762*y Find the third derivative of 570*d**2 + 592 - 773*d**3 - 592 + 228*d**3 wrt d. -3270 Let h(b) = 6*b**4 - 6*b**3 - 445*b**2. Let q(f) = -30*f**4 + 29*f**3 + 2223*f**2. Let k(o) = 11*h(o) + 2*q(o). Find the third derivative of k(x) wrt x. 144*x - 48 Let b(d) be the third derivative of 647*d**5/30 + 580*d**3/3 + 1206*d**2. What is the derivative of b(r) wrt r? 2588*r Let v(c) = -23*c**2 - 6*c - 24. Let t(m) = -24*m**2 - 7*m - 24. Let y(q) = 5*t(q) - 6*v(q). Find the first derivative of y(n) wrt n. 36*n + 1 Let u(c) = -347*c**2 - 1389*c - 4. Let z(q) = 699*q**2 + 2779*q + 10. Let g(t) = -5*u(t) - 2*z(t). What is the second derivative of g(p) wrt p? 674 What is the second derivative of 2973*t + 1318*t + 1612*t - 196*t**2 - 726*t**2 wrt t? -1844 Let y = -79 + 81. What is the third derivative of -233*t**3 + 40*t + 13*t**y - t - 14*t**2 wrt t? -1398 Let a be -3 + (-57)/(-21) - (-177)/7. Let w = a + -22. What is the second derivative of 5*f**w + 6*f**5 + 13*f - 14*f**3 + 9*f**3 wrt f? 120*f**3 Suppose -6*n + 8 + 10 = 0. Find the second derivative of n - 2*z**3 - z**2 + 6*z + z**3 - z wrt z. -6*z - 2 Suppose 11*x - 12 = 5*x. What is the second derivative of 21*k**2 - 4*k - 13*k**2 - 45*k**x wrt k? -74 Let l(r) = -11*r - 26. Let b be (-68)/51 + 16/(-6). Let k be l(b). What is the third derivative of k - 34 - 2*m**4 + 48*m**2 - 13*m**3 + 18 wrt m? -48*m - 78 Let a = -213 + 223. Find the third derivative of -a*w**6 - 5*w**4 - 2 + 12*w**6 - 8*w**4 + 9*w**4 + 13*w**2 wrt w. 240*w**3 - 96*w Suppose -3*q = s - 694, 3*q - 4*s - 654 = 35. Let p = 563 - q. What is the second derivative of -172*g + p*g + g**4 - 180*g wrt g? 12*g**2 Let o be 5/(15/(-6)) + 14. Let a be 3*2/3 + (o - 12). Find the first derivative of -9 - 5*f**a - 12 - 10*f**2 + 3*f**2 wrt f. -24*f Let i(l) be the third derivative of -97*l**5/15 + l**4/24 - 2579*l**3/2 + 7636*l**2. What is the second derivative of i(h) wrt h? -776 Suppose -5*w + 147 = 22. Let g = w - 25. Differentiate -4*f**2 - 9*f**3 + 4*f**2 + g*f**2 - 3 with respect to f. -27*f**2 Let p(c) = 5*c**3 + 515*c**2 - 150*c - 3. Let o(x) = x**3 + 3*x. Let r(m) = -2*o(m) + p(m). What is the second derivative of r(y) wrt y? 18*y + 1030 Differentiate 769 - 12754*p - 11*p**4 - 5*p**2 + 2812 + 7*p**2 + 12740*p with respect to p. -44*p**3 + 4*p - 14 Let s(t) be the third derivative of -599*t**7/210 + t**6/60 + 27*t**5/20 + t**4/24 - 22*t**2 - 85. Find the third derivative of s(l) wrt l. -14376*l + 12 Suppose -4*w + 3*w + 37 = 0. Let u = w - -1. What is the first derivative of 60*l**2 - 29*l**2 + u - 34*l**2 wrt l? -6*l Let x(a) = -a**3 + 8*a**2 - a - 25. Let m be x(7). What is the third derivative of -58*s**5 - 20*s**5 + m*s**2 - 6*s**5 - 32*s**2 wrt s? -5040*s**2 Let w = -3316 - -3316. Let a(p) be the second derivative of 0*p**5 - p**2 + 0*p**4 - 4/15*p**6 + w + 6*p + 0*p**3. Differentiate a(g) wrt g. -32*g**3 Suppose 0 = -0*i + 6*i - 24. Let l(o) be the first derivative of 13*o**2 + 20 + 4*o**2 - 3*o**i - 3*o**2 - 8*o**2. What is the second derivative of l(t) wrt t? -72*t Let p(q) be the first derivative of -331*q**5/5 + 2*q**3/3 - 216*q - 1098. What is the first derivative of p(j) wrt j? -1324*j**3 + 4*j Let z(h) = -h**2 - 1. Let y = -25 + 33. Let f be (y/6)/(6/108). Let d(l) = -4*l**2 - 12. Let a(t) = f*z(t) - 3*d(t). Differentiate a(m) wrt m. -24*m Let w(q) = -15534*q**2 - 2770*q - 67. Let c(x) = 3107*x**2 + 554*x + 14. Let n(o) = -19*c(o) - 4*w(o). Find the second derivative of n(l) wrt l. 6206 Let m(i) be the first derivative of 0*i**4 + 2/3*i**3 + 97 - 157*i - 9/5*i**5 + 0*i**2. What is the first derivative of m(a) wrt a? -36*a**3 + 4*a Let m(x) be the second derivative of -119/6*x**3 - 3*x + 8 + 163/2*x**2. Find the first derivative of m(b) wrt b. -119 Let n(r) be the third derivative of 4*r**7/21 - 11843*r**3/6 + 20*r**2 - 2*r + 8. Find the first derivative of n(p) wrt p. 160*p**3 Let v(h) = -3*h - 9 - 3 + h**2 + 6. Let b be v(-2). What is the second derivative of -6*p + 2*p + p + 21*p**b wrt p? 252*p**2 Suppose 4*b = -j + 28, -4*j = -3*j - 5*b + 17. Find the third derivative of -6*l**5 - 2*l**4 + 4*l**2 + 208 - 208 - j*l wrt l. -360*l**2 - 48*l Let q be (-8)/32*244/(-1). What is the second derivative of q*d**2 - 19*d**3 - 24*d**3 + 29*d + 2*d**5 - 2 + 43*d**3 wrt d? 40*d**3 + 122 Suppose -5*w - 43 - 14 = -2*k, k - 9 = -4*w. Let h(s) = -s + 31. Let y be h(k). What is the first derivative of 19*j**4 - 11*j + j - 18 + y*j wrt j? 76*j**3 Find the first derivative of -1116 + 4449 - 1221*l**2 - l + 1743 wrt l. -2442*l - 1 Let a(l) = l**2 + 21*l + 107. Let j be a(-13). Find the second derivative of -610*d**3 + 83*d + 0*d**2 + 3*d**2 - 2*d**2
{ "pile_set_name": "DM Mathematics" }
-1200 Suppose -n - 8939985 = 3*c, -20811885 - 6008125 = 3*n - 2*c. Round n to the nearest 1000000. -9000000 Let b = -1081145125.99999891 - -1081144879. Let r = b + 247. What is r rounded to 7 decimal places? 0.0000011 Let i = -3057957.60000088 + 3057958.7. Let b = i - 1.1. Round b to seven dps. -0.0000009 Let m = -119185 - -118913.801. Let j = -271 - m. Round j to 1 dp. 0.2 Let z = -132.99246 - -133. What is z rounded to 3 dps? 0.008 Let s = -23099 + 23098.930009. Let u = -0.07 - s. What is u rounded to 6 dps? -0.000009 Let i(o) = -o**3 + o**2 - 2*o + 27975. Let p be i(0). Suppose 0 = -4*a + 427975 - p. Round a to the nearest 100000. 100000 Let m = -53784 - -23674. Round m to the nearest one hundred. -30100 Let n = -0.34316 + 2.64806. Let z = -2.32 + n. Round z to three dps. -0.015 Let b = 6.37 - 6.3700576. Round b to 5 decimal places. -0.00006 Let j = -0.28936 + 0.312. What is j rounded to 3 decimal places? 0.023 Suppose 0 = -4*z - 2*h + 6159996, -5*z + 17*h - 19*h + 7699996 = 0. Round z to the nearest 100000. 1500000 Let b = -140209 - -140181.0054. Let p = -28 - b. What is p rounded to three decimal places? -0.005 Suppose 2*o = -r - 6, -3*r - o = o + 18. Let h be (-1)/r*-2*-633. Let z = h + -127. Round z to the nearest ten. 80 Let f = 6.1 - 6.35. Let c = -0.2499936 - f. Round c to 6 dps. 0.000006 Let u = 466.403 + -464.3. Let x = u - 2.102999121. What is x rounded to 7 dps? 0.0000009 Let s = -5.4501 - -5.701. What is s rounded to one decimal place? 0.3 Let s be ((-280)/(-3))/((-4)/(-16800)). Round s to the nearest ten thousand. 390000 Let c = -258 + 500. Suppose -c = 2*p + 188. Let s = 75 - p. Round s to the nearest 100. 300 Let j(z) = -z**3 + 6*z**2 - 5*z + 10. Let o be j(5). Suppose -o*x + 2610000 = -7*x. Suppose -3*a + 4*a = x. Round a to the nearest one hundred thousand. 900000 Let l = -109 - -116. Let j be -109*l/(28/(-1200000)). Round j to the nearest one million. 33000000 Let v = -360.6 + 143.5. Let t = -208 - v. Let x = t - 3. What is x rounded to the nearest integer? 6 Let q = -2471.014 + 2471. What is q rounded to two decimal places? -0.01 Let p = 22.77683 + 1.22308. Let v = -0.0066 + -23.9934. Let i = p + v. Round i to 5 decimal places. -0.00009 Let c(n) = 635725*n + 225. Let u be c(-21). What is u rounded to the nearest 1000000? -13000000 Let h(p) = -132*p**2 - 2. Let q(s) = -s**3 - 5*s**2 - 6*s - 2. Let d be q(-3). Let l be h(d). Round l to the nearest one thousand. -1000 Let l = -29 - -47. Let p = -17.99605 + l. What is p rounded to 4 decimal places? 0.004 Let g = -7262.92494 - -7263. What is g rounded to 2 decimal places? 0.08 Let c be 4 - 9 - 2350*33/(-6). What is c rounded to the nearest 100? 12900 Let l(o) = -370*o - 60. Let u be l(20). What is u rounded to the nearest 1000? -7000 Let b(y) = -14557*y + 11977*y + 11701*y - 6 + 22882*y. Let f be b(2). What is f rounded to the nearest 10000? 60000 Let d = -72.1 + 72.0999993023. What is d rounded to 7 decimal places? -0.0000007 Let v(s) = -3 - 1 + s - 3 + 0*s. Let t be v(8). Let n be (2 - t)/((-4)/2360). Round n to the nearest 100. -600 Suppose 0 = -12*w - 10201 - 8267. What is w rounded to the nearest one hundred? -1500 Let k = 52 + -52.41. Let u = 5325.5933 + -5326. Let o = k - u. Round o to 3 decimal places. -0.003 Let u = -337.55 - -449.1. Round u to the nearest ten. 110 Let f be ((-802)/4)/((-3)/65418). Let i = f + 12127902. Suppose -4*g + 2*w - 66000005 = w, w = g + i. What is g rounded to the nearest one million? -17000000 Let o = 2.14 - 2.988. Let r = o - -1.18. Round r to 1 decimal place. 0.3 Suppose 53*n + 6446700 = 40*n. What is n rounded to the nearest 100000? -500000 Let q = -0.417 + 0.4169809. What is q rounded to six dps? -0.000019 Let k = -0.76 + 0.8575. Let u = 0.22 + -0.13. Let z = u - k. Round z to 3 decimal places. -0.008 Let m(g) = -31*g**3 + g**2 - g. Let x be m(1). Let w = -19 - x. Let k be w/54 + (-90004)/18. Round k to the nearest 10000. -10000 Let j = -27.95 + 28.00227. Round j to two dps. 0.05 Let d = -651.1 - -584. What is d rounded to the nearest ten? -70 Let y be (0 - (-2 + 64030005)) + (22 - 19). What is y rounded to the nearest one million? -64000000 Let d = -13 - -11. Let p = -353694.097 - -353696.09699997. Let k = d + p. What is k rounded to seven dps? 0 Let v = 22.5749 - 22.2. What is v rounded to one dp? 0.4 Let t = 43 - 51. Let c(p) = 2*p**3 + 8*p**2 + 11*p + 2. Let u be c(t). What is u rounded to the nearest 100? -600 Let l = 21.17998947 + -21.18. Round l to six dps. -0.000011 Let i = 5.6 + 16.4. Let w = i + -47.9. Round w to zero dps. -26 Let g = -44293.68114 + 44295. Let n = 1.32 - g. Round n to 4 decimal places. 0.0011 Let d(q) = 4641*q - 153. Let m be d(33). Round m to the nearest 10000. 150000 Let d = 1856 + -1856.0002238. Round d to five dps. -0.00022 Suppose g + 64 = -3*g. Let f = -36 - g. Round f to the nearest one hundred. 0 Let p = -42.2 - -0.2. Let n = p - -42.031. Round n to two dps. 0.03 Let t be 0/7 + -12178 - 5. Suppose 3*n = 2*n + 8683. Let f = t + n. Round f to the nearest one thousand. -4000 Let n = 0.3409 - 0.15225. What is n rounded to 2 dps? 0.19 Suppose 0 = -u - u - 6. Suppose -40*k + 41*k = 4. Let r be u/k + 2879997/(-4). Round r to the nearest 100000. -700000 Let k = 2.239906 - 13.239987. Let o = -11 - k. Round o to five dps. 0.00008 Let d = 1.07 - -0.19. Round d to 1 dp. 1.3 Let v = -91.21 + 0.21. Let p = 90.99854 + v. What is p rounded to four dps? -0.0015 Let v(d) = -4143*d**3 + d**2 + 10*d - 8. Let a be v(1). What is a rounded to the nearest 100? -4100 Let s = 0.0259 - -278.9741. Let n = 278.99863 - s. Round n to 4 dps. -0.0014 Suppose 2*k - 2 = 0, -4*w - 57*k = -59*k + 22398. What is w rounded to the nearest one hundred? -5600 Let t = -65.019984405 + 65.02. What is t rounded to 7 dps? 0.0000156 Let g = -629 - -599.7. What is g rounded to the nearest integer? -29 Suppose -5*h + 144 = -h. Suppose -2*i - i = 3*m - 15, -4*m = -3*i + h. What is i rounded to the nearest ten? 10 Let k = 288310 - 88749. Let p = 316061 - k. Suppose 3*d - p = -2*d. Round d to the nearest one thousand. 23000 Let j(q) = -q - 2. Let w be j(0). Let z = 6 + w. Suppose 4*c - 865004 = z*f + f, 0 = f - c + 173001. Round f to the nearest 10000. -170000 Let u = 1.095 - 6.465. Round u to the nearest integer. -5 Suppose 9 = -3*x, 10316006 = 4*h + x - 3*x. What is h rounded to the nearest 100000? 2600000 Let r = 7798545 + -7798546.4400189. Let q = r - -1.44. What is q rounded to six dps? -0.000019 Let g = -3 - -3.03. Let j = -58.61 + 59. Let m = g + j. What is m rounded to one dp? 0.4 Let g = -1.4 - -1.22. Let x = -0.199 - g. Let n = x + 0.082. What is n rounded to 2 dps? 0.06 Let v = 8.31 + -8.3104684. What is v rounded to four dps? -0.0005 Suppose -401 - 175 = -3*z. Let g be (z - 2)/((-1)/(-8)). What is g rounded to the nearest one hundred? 1500 Suppose -3*f + k = -4*k - 5740, 0 = 4*f + k - 7684. Let s be ((-1050)/4)/((-15)/f). Round s to the nearest one thousand. 34000 Let a = -409 - -267. Let b = -169.59 - -33.69. Let h = a - b. Round h to the nearest integer. -6 Let r = -25 - -25.136. Let m = 227 - 226.94. Let u = m - r. What is u rounded to two decimal places? -0.08 Let b = 78 - -72. Let l = b - 148.42. Let q = l - 0.23. Round q to one dp. 1.4 Let u be -61 - -66 - (-2961995)/2*2. What is u rounded to the nearest one million? 3000000 Let k = 4658.79 - 4682. What is k rounded to the nearest integer? -23 Let s = -165009.1999928 - -165009. Let i = s + 0.2. What is i rounded to 6 decimal places? 0.000007 Suppose -d = 3*d - 49516. Let r = -24967 + d. Let p = r - -6688. What is p rounded to the nearest 1000? -6000 Let z = -564.9208 - -565. Round z to 2 decimal places. 0.08 Let y = -3 + 24. Let n = y + -115. Let c = n + 84.7. Round c to zero decimal places. -9 Suppose 0 = -15*q - 2 + 2. Suppose q = -37*y + 39*y - 172000. What is y rounded to the nearest ten thousand? 90000 Let c = -30.312997813 + 0.312995593. Let q = -32 + 62. Let s = c + q. What is s rounded to seven decimal places? -0.0000022 Suppose -4*f + 5*c = 3 + 50, 2*f = -5*c - 19. Let p(b) = -1191668*b - 16. Let q be p(f). Round q to the nearest 1000000. 14000000 Let l = -1.1 - -0.94. Let o = l + 0.27. What is o rounded to 1 decimal place? 0.1 Let u = 10.371 + -10.85. Let i = -0.24 - u. Ro
{ "pile_set_name": "DM Mathematics" }
f = 631 + -226. Is f a multiple of 21? False Suppose -5*r = 2 + 3. Let x be (1/(-1)*2)/r. Suppose x*h - 240 = -3*h. Does 16 divide h? True Let a = 31 - 21. Suppose o = 3*o - a. Let h(m) = m**2 + 1. Is 13 a factor of h(o)? True Let m(k) = 71*k**3 + k**2. Let n(g) = -g**3 + g**2 + 1. Let v be n(0). Does 9 divide m(v)? True Let o be 4 + 3*-2 - -1203. Suppose 0 = -2*u + o + 1029. Is u/75 - (-6)/45 a multiple of 15? True Let a(k) = k**3 + 2*k**2 - 3*k + 5. Suppose -5*p - 3 = 17. Let x be a(p). Is 12 a factor of x/(-10)*(-68)/(-3)? False Suppose 0 = -31*i - 2*i + 264. Does 8 divide i? True Let g = -16 + 28. Suppose 0 = -6*u - g + 156. Is u a multiple of 8? True Let u = -196 + 44. Let t = u - -318. Is 21 a factor of t? False Let k = 4 + -4. Suppose o + 15 = -5*a, k = -5*o + o - 5*a - 15. Suppose -4*t = -o*t - 84. Is t a multiple of 13? False Suppose -22*n - 733 + 3703 = 0. Is 5 a factor of n? True Let s(g) be the third derivative of g**6/120 + g**5/6 - g**4/2 - g**3 + g**2. Let y be s(-11). Suppose -282 + 52 = -y*m. Is 12 a factor of m? False Suppose 0 = -20*m + 19*m - 2*k + 1166, -2*m = -5*k - 2314. Does 28 divide m? False Let p(k) be the second derivative of k**4/6 + 2*k**3/3 + k**2/2 - 20*k. Is 13 a factor of p(5)? False Let w = -7 - -12. Suppose -3*n - 1 = 2*j, -w*j = n - 2*n + 11. Let g(s) = -5*s**3 - s - 2. Does 20 divide g(j)? True Let h = -1693 + 2215. Is 58 a factor of h? True Suppose -2*g - 11*j + 302 = -8*j, 0 = -2*g - 5*j + 298. Is g a multiple of 4? False Let c(f) be the second derivative of -f**5/20 - f**4/6 - 5*f**3/6 + 9*f**2/2 + 14*f. Does 11 divide c(-4)? False Suppose 0 = 2*j - 6*j - 312. Let k = 168 + j. Suppose 4*n + 3*p - 27 = k, 3*n - 66 = 5*p. Is n a multiple of 10? False Let d = -273 + 548. Suppose -3*r = 5*p - 6*r - d, -2*p + 2*r + 110 = 0. Does 14 divide p? False Suppose 0 = 3*p - 4*k - 1147, 2*p - 6*p - 3*k = -1571. Does 6 divide p? False Let a(m) = 3*m - 18. Let h be a(11). Suppose -3*i + h = 2*i. Suppose 5*u - 44 - 45 = -2*q, i*q - 128 = -2*u. Is 12 a factor of q? False Suppose 6*w - 16*w + 20010 = 0. Is w a multiple of 47? False Let i(s) = 6*s**2 - 1. Suppose -o = -2*o + 1. Let j be -3 + o + 4 + -1. Is i(j) a multiple of 5? True Suppose -3*b + 0*b = -4*b. Let c(w) = -w**3 + w**2 + w + 11. Is 10 a factor of c(b)? False Suppose 5*c - 284 = 4*y - y, -2*c + 113 = -y. Is c a multiple of 11? True Let w(m) be the second derivative of -m**4/12 + m**3/3 - 6*m. Let x be w(1). Let c = 6 + x. Is 2 a factor of c? False Let k(f) = f**3 + 8*f**2 + f + 11. Let n be ((-4)/8)/(-1)*6. Suppose 4 = 2*x - 4*u, n*x + 2*u = u - 29. Is k(x) a multiple of 2? False Let n(w) = 547*w - 30. Does 27 divide n(3)? False Let p(a) = -a**3 - 5*a**2. Let y be p(-5). Suppose -3*g + 7*g - 20 = y. Suppose -2*l - 18 = -t, -5*t - g*l + l + 20 = 0. Is 8 a factor of t? True Suppose 15 - 3 = 3*a. Does 28 divide 2*56/a*(-1 + 2)? True Suppose 5*x + 5*f - 1110 = 0, 0 = 5*f + 13 - 38. Is x a multiple of 13? False Let l be (3/(-2))/((-2)/(-4)). Let m = -9 + l. Does 15 divide 262/6 - m/9? True Suppose 2*w + 97 = -c, 5*w + 2*c + 40 = -202. Let a = 82 + w. Is a a multiple of 5? False Let y = -1123 + 1542. Is 81 a factor of y? False Suppose -4*y - 4 = -m - m, 0 = 5*m - 3*y + 18. Let f = -5 - m. Let u(o) = 6*o. Is 3 a factor of u(f)? True Let u(l) = 29*l + 15. Let g(p) = -2 - 7*p - 5 - 7*p. Let r(f) = -5*g(f) - 3*u(f). Is r(-4) a multiple of 19? False Suppose -47 = -2*t + 17. Let i = 29 - t. Is 15 a factor of (-13)/(i - (-32)/12)? False Suppose 6*c = -3 + 27. Suppose -5*r = -2*j + 5*j - 148, c*j + 5*r = 204. Is j a multiple of 11? False Suppose 4*s + w = 2, 0 = -3*w - 0*w + 6. Suppose 0*l + 6 = 2*l, -3*i + 5*l + 45 = s. Does 37 divide 37/(i/16 - 1)? True Let n(w) = -w**3 - 11*w**2 + 19*w - 6. Let a be n(-13). Let o = a + 37. Let r = o + -63. Does 23 divide r? False Does 21 divide 1 + 7539/12 + (-9)/(-12)? True Suppose 5*s = 5*p + 255, 2*s - p = -5*p + 132. Suppose -6*b - s = -10*b. Is 2 a factor of b? True Let u = -24 + 49. Suppose -162 = u*a - 31*a. Does 5 divide a? False Suppose 2*w - 2620 = -4*o, -3*o - o - 4*w = -2616. Is o a multiple of 28? False Suppose 3*t = -5*o + 5889, 2689 = 2*t + 2*o - 1237. Does 50 divide t? False Suppose 11*v - 4600 = -1740. Is v a multiple of 20? True Let u = 58 - 28. Let i = u + 54. Suppose 2*n - i = 4*c, -n + 5*n = c + 140. Is n a multiple of 7? False Let u(k) = k**3 + 9*k**2 - 2*k - 7. Let f be u(-7). Suppose -4 = 5*b + 5*t - 214, 2*b = 5*t + f. Does 17 divide b? False Suppose -5*r + 577 = -2*p - 724, 2*p - 1030 = -4*r. Is r a multiple of 19? False Suppose -1075 = -5*a + 485. Suppose 3*b - 5*b = -n - a, -b = -2*n - 162. Is b a multiple of 13? False Let w(o) = o**2 + 5*o - 1. Let r be (-48)/40*10/3. Let c be w(r). Let z = c + 11. Is 3 a factor of z? True Let g = -268 + 362. Is g a multiple of 3? False Let h(c) be the second derivative of c**5/20 + 2*c**4/3 + 2*c**3 - c**2 + 22*c. Does 2 divide h(-5)? False Let t be -2*(76/(-8) - -1). Is 13 a factor of t + -1*(4 - 1)? False Let k = 23 + -18. Suppose 4*z = s + 6, -2*z + 10 = s - k*s. Suppose -z = o - 15. Is 12 a factor of o? False Let t(s) = s + 14. Let c be t(-8). Let d = c - -54. Is 20 a factor of d? True Suppose 42*i + 96 = 348. Is i a multiple of 2? True Let l(a) = -2*a. Suppose 4*i - i = -6. Let y be l(i). Suppose -y*b = -4*u + 10 - 34, 5*b - 2*u = 39. Is b a multiple of 2? False Let b be ((-10)/(-15))/(2/9). Is 4 - 219/b*-1 a multiple of 11? True Let s(l) = 2*l**3 - 11*l**2 - 8*l - 4. Let i be s(7). Suppose -18 + i = v. Is v a multiple of 23? True Let z(h) be the first derivative of -h**4/4 - 5*h**3/3 - 15*h**2/2 - 11*h + 17. Does 26 divide z(-6)? False Is 4 a factor of (6 + -25)*-10*(-1)/(-2)? False Suppose -5*x + 7043 = j + 2*j, -2*j - 2*x = -4702. Is j a multiple of 76? True Let f = -82 - -47. Let j(k) = -29*k + 4. Let q be j(2). Let h = f - q. Is h a multiple of 14? False Suppose -10 - 5 = -3*f. Suppose h - f*s = 61, 0*s + 15 = -5*s. Does 12 divide -1*(-7)/(7/h)? False Suppose -o = -3*o + 124. Let p = o + -24. Does 9 divide p? False Suppose 2*v - 10 = -3*b, -b = 4*v - 0*b - 40. Suppose -2*i + 1430 = v*i. Is i a multiple of 10? True Let n = -105 - -225. Suppose -4*i + 160 = 4*d, 3*i - 36 - n = -4*d. Does 6 divide d? True Let b = -30 - -56. Is b a multiple of 3? False Let r be (-15)/((1 - -3)/(-12)). Suppose 5*g - 35 = h + 24, -r = -4*g + 3*h. Does 6 divide g? True Suppose 172 = 4*b + 4*f - 144, 3*f = -15. Is b a multiple of 7? True Let d(w) = w - 10. Let m(t) = t**3 - 11*t**2 + t - 1. Let c be m(11). Let a be d(c). Suppose a*x + 4*x = 228. Is 22 a factor of x? False Let j = 48 + -23. Is 5 a factor of j? True Let w(b) = 2*b + 13. Let n be w(-6). Let y be n/(4/(-36) + 0). Let h = y - -66. Is h a multiple of 19? True Let s = -1149 + 2237. Does 32 divide s? True Let i(u) = 31*u**3 + 3*u - 2. Suppose y - 11 = -10*y. Does 16 divide i(y)? True Suppose -2*g - 94 = 196. Let v = 160 + g. Does 3 divide v? True Suppose 1471 = -7*x - 111. Let i = -106 - x. Is i a multiple of 24? True Suppose -u - 3*u = -2*i - 6, 4*u = -5*i + 13. Let d(k) = -4 + 6 - u - 3*k**2 + 4*k + 2 - 3*k**3. Does 12 divide d(-3)? False Let d be -15*-1*1/3. Let v(x) = 2*x + x**2 - 8 + d*x + 4*x. Does 2 divide v(-12)? True Let u(k) = k**2 + 17*k + 105. Let x be u(-14). Let g(y) = -y - 1. Let l be g(-3). Suppose 3*b = l*r - x, -3*b - 2 = 13. Is r a multiple of 6? True Let k = -60 - -72. Let m = 40 - k. Is m a multiple of 4? True Is 29 a factor of 2572/5 + (54/45)/2? False Does 13 divide ((-1)/(-1*1))/(243/6318)? True Let v = 57 - -79. Suppose -3*c - c - v = 0. Let r = -17 - c. Is 17 a factor of r? True Let o = -104 - -104. Suppose -2*m - 3*n + 276 = o, -5*m - 4*n = -3*n - 690. Is 22 a factor of m? False Suppose d + 3*l - 180 = 6, 4*l + 987 = 5*d. Is 13 a factor of d? True Let a(f) = 14*f - 28. Is a(6) a multiple of 4? True Let q(y) = y - 17 + 30 - 14. Let h(o) = -11*o + 6. Let b(v) = -3*h(v) - 21*q(v). Is 9 a factor of b(2)? True Let q(d) = -5*d**3 - d**2 - 2*d. Let a = -11 + 15. Suppose -b + 4 = 0, -a*s = -2*s + 2*b - 6. Is 2 a factor of q(s)? True Let d(c) = -c**3 - 5*c**2 + 10*c. Let k be (8/5)/((-1)/5). Let t be d(k). Suppose 2*s - t = 14. Is s a multiple of 9? True Let l = -5 + 2. Let t(f) = -2*f**3 - 3*f**2 - f + 4. Is
{ "pile_set_name": "DM Mathematics" }
late y. -118, -3/4 Let p**3/5 - p**2/5 - 2*p/5 = 0. Calculate p. -1, 0, 2 Factor 778752*t**2 - 2496*t + 2. 2*(624*t - 1)**2 Suppose q**4/5 - 3*q**3/5 - 27*q**2/5 - 13*q/5 + 42/5 = 0. What is q? -3, -2, 1, 7 Suppose 4*x**3 - 228*x**2 + 1596*x - 1372 = 0. Calculate x. 1, 7, 49 Let 18*m**4/11 - 52*m**3/11 + 32*m**2/11 = 0. Calculate m. 0, 8/9, 2 Solve -2*r**4/3 + 3344*r**3/3 - 3340*r**2 + 10016*r/3 - 3338/3 = 0. 1, 1669 Suppose -m**2/3 - 31*m + 94/3 = 0. What is m? -94, 1 Factor -5*q**3 + 120*q**2 + 125*q. -5*q*(q - 25)*(q + 1) Solve -5*p**3/3 - 30*p**2 = 0 for p. -18, 0 Let 4*u**2 - 1368*u + 1364 = 0. Calculate u. 1, 341 Determine n, given that n**2/6 - n/2 + 1/3 = 0. 1, 2 Determine b so that b**3 - b**2 + b/4 = 0. 0, 1/2 Find o such that 1398*o**3 - 4*o**2 = 0. 0, 2/699 Find g such that 2*g**2/3 - 160*g/3 + 3200/3 = 0. 40 Let -9*u**5 - 39*u**4 - 34*u**3 + 10*u**2 + 11*u - 3 = 0. Calculate u. -3, -1, 1/3 Find f, given that f**2 + 71*f - 222 = 0. -74, 3 Factor 3*f**4 - 69*f**3 - 225*f**2 - 231*f - 78. 3*(f - 26)*(f + 1)**3 Factor 1500*d**4 - 252700*d**3 - 304680*d**2 - 122064*d - 16288. 4*(3*d - 509)*(5*d + 2)**3 Let -2*t**2/9 + 578*t/9 - 64 = 0. What is t? 1, 288 Solve 20*l**2/3 + 6336*l + 7600/3 = 0 for l. -950, -2/5 Suppose 3*a**5/5 - 11*a**4/5 - 4*a**3/5 + 48*a**2/5 - 32*a/5 - 16/5 = 0. What is a? -2, -1/3, 2 Factor -3*b**2 + 12. -3*(b - 2)*(b + 2) What is c in -3*c**4/4 - 15*c**3/4 + 39*c**2/4 - 21*c/4 = 0? -7, 0, 1 Determine z, given that -z**5/3 - 11*z**4/3 - 34*z**3/3 - 14*z**2/3 + 35*z/3 + 25/3 = 0. -5, -1, 1 Find q such that 75*q**2 - 1110*q + 4107 = 0. 37/5 Suppose -2*o**4/17 - 32*o**3/17 - 174*o**2/17 - 360*o/17 - 216/17 = 0. What is o? -6, -3, -1 Factor -n**4/5 - 2*n**3 + 91*n**2/5 - 16*n. -n*(n - 5)*(n - 1)*(n + 16)/5 Determine y, given that 10*y**5/7 - 402*y**4/7 - 1210*y**3/7 + 258*y**2/7 = 0. -3, 0, 1/5, 43 Factor 2*d**3 + 474*d**2 + 28320*d + 27848. 2*(d + 1)*(d + 118)**2 What is w in 2*w**5/7 - 36*w**4/7 + 162*w**3/7 = 0? 0, 9 Factor -3*h**2/4 + 99*h/2 - 3267/4. -3*(h - 33)**2/4 Determine w, given that -3*w**5 - 60*w**4 - 339*w**3 - 246*w**2 + 1404*w + 1944 = 0. -9, -2, 2 Factor -3*p**2/4 - 111*p/4 - 405/2. -3*(p + 10)*(p + 27)/4 Factor 98*x**4/13 - 1036*x**3/13 + 3018*x**2/13 - 1480*x/13 + 200/13. 2*(x - 5)**2*(7*x - 2)**2/13 Factor -o**2/2 - 57*o - 220. -(o + 4)*(o + 110)/2 Solve 4*t**4 - 85*t**3 + 319*t**2 + 1416*t + 1008 = 0. -7/4, -1, 12 Find r such that -3*r**2/4 + 15*r + 8127/4 = 0. -43, 63 Find h, given that h**2/2 - 11*h/2 + 15 = 0. 5, 6 Factor -32*m**3 + 3260*m**2 + 3704*m + 412. -4*(m - 103)*(m + 1)*(8*m + 1) Suppose -p**4 + 4*p**3 - 3*p**2 = 0. Calculate p. 0, 1, 3 Factor 2*v**4/9 - 28*v**3/9 + 16*v**2 - 320*v/9 + 256/9. 2*(v - 4)**3*(v - 2)/9 Factor -v**2/6 + 2*v + 32/3. -(v - 16)*(v + 4)/6 Find u, given that 4*u**5 - 12*u**4 - 28*u**3 + 28*u**2 + 72*u + 32 = 0. -1, 2, 4 Factor -3*n**3 + 45*n**2 + 624*n + 576. -3*(n - 24)*(n + 1)*(n + 8) Factor 125*s**3 + 1300*s**2 - 10220*s + 15680. 5*(s + 16)*(5*s - 14)**2 Factor -2*i**2/7 - 2*i/7. -2*i*(i + 1)/7 Let t**5/4 - 6*t**4 + 141*t**3/4 + 35*t**2/2 - 96*t - 72 = 0. Calculate t. -1, 2, 12 Factor 2*m**3/3 - 56*m**2/3 + 442*m/3 - 676/3. 2*(m - 13)**2*(m - 2)/3 Determine q, given that -3*q**5 - 12*q**4 + 24*q**3 + 126*q**2 + 27*q - 162 = 0. -3, -2, 1, 3 Factor 5*u**2 + 75*u - 2030. 5*(u - 14)*(u + 29) Solve -j**5/5 - 12*j**4/5 - 37*j**3/5 - 42*j**2/5 - 16*j/5 = 0 for j. -8, -2, -1, 0 What is g in -3*g**3/5 + 48*g**2 - 5031*g/5 + 9126/5 = 0? 2, 39 Solve -3*t**4 + 3*t**3 + 15*t**2 + 9*t = 0 for t. -1, 0, 3 Factor 2*w**3/11 + 38*w**2/11 + 68*w/11. 2*w*(w + 2)*(w + 17)/11 Let -3056*n**4/5 - 1464*n**3/5 - 159*n**2/5 + 4*n/5 = 0. Calculate n. -1/4, 0, 4/191 Solve -5*q**3/2 + 2910*q**2 - 11625*q/2 + 2905 = 0. 1, 1162 Factor 2*h**3/3 - 76*h**2/3 + 698*h/3 - 208. 2*(h - 24)*(h - 13)*(h - 1)/3 Find y such that -y**2 + 26*y - 69 = 0. 3, 23 Find w such that -w**5/4 - 109*w**4/4 - 3691*w**3/4 - 40011*w**2/4 - 42300*w - 59643 = 0. -47, -6, -3 Factor k**4 - 4*k**3 + 3*k**2 + 4*k - 4. (k - 2)**2*(k - 1)*(k + 1) Factor 7*i**3/2 + 345*i**2/2 - 1106*i - 330. (i - 6)*(i + 55)*(7*i + 2)/2 Let -3*f**3 + 9*f**2 + 3*f - 9 = 0. What is f? -1, 1, 3 Suppose 4*x**2 + 64*x - 68 = 0. Calculate x. -17, 1 Solve -r**2/5 + 11*r/5 = 0 for r. 0, 11 Solve 81*g**3 - 9*g**2 - 56*g - 16 = 0 for g. -4/9, 1 Let 4*z**2 + 640*z + 636 = 0. What is z? -159, -1 Solve 2*i**5/11 - 32*i**4/11 + 160*i**3/11 - 340*i**2/11 + 318*i/11 - 108/11 = 0. 1, 2, 3, 9 Determine b, given that 3*b**2/4 + 15*b/4 - 225/2 = 0. -15, 10 Let -3*m**2 + 369*m - 1080 = 0. Calculate m. 3, 120 What is c in -3*c**3 + 183*c**2 - 2880*c + 2700 = 0? 1, 30 Factor -s**2/4 + 1771*s/2 - 3136441/4. -(s - 1771)**2/4 Find f such that 3*f**2 - 240*f + 237 = 0. 1, 79 Solve t**2 - 169*t/3 + 56/3 = 0 for t. 1/3, 56 Factor -2*u**2 - 238*u + 1500. -2*(u - 6)*(u + 125) Factor 2*t**2 + 16*t + 14. 2*(t + 1)*(t + 7) Determine n, given that -225*n**3/7 - 1185*n**2/7 - 304*n/7 - 20/7 = 0. -5, -2/15 Suppose j**2 - 1139*j = 0. Calculate j. 0, 1139 Determine l so that l**4/10 - l**3/2 + l**2/10 + 21*l/10 - 9/5 = 0. -2, 1, 3 Factor 5*j**2 + 2975*j - 5970. 5*(j - 2)*(j + 597) Factor 2*j**4 + 272*j**3 - 828*j**2 + 832*j - 278. 2*(j - 1)**3*(j + 139) Factor 4*d**3/3 - 1504*d**2/3 + 46620*d + 95256. 4*(d - 189)**2*(d + 2)/3 Factor 2*s**4/13 + 12*s**3/13 - 2*s**2/13 - 60*s/13. 2*s*(s - 2)*(s + 3)*(s + 5)/13 Suppose 2*f**2/7 - 1284*f/7 + 1282/7 = 0. What is f? 1, 641 What is a in 226*a**2 + 8584*a - 152 = 0? -38, 2/113 Let 4*a**4 + 12598*a**3 + 39664801*a**2/4 - 9920925*a/2 + 2480625/4 = 0. What is a? -1575, 1/4 Determine o so that -o**2/2 + 849*o/2 + 425 = 0. -1, 850 Determine k so that 2*k**5/9 - 22*k**4/9 - 26*k**3/9 + 22*k**2/9 + 8*k/3 = 0. -1, 0, 1, 12 Determine n, given that 2*n**3/15 - 74*n**2/15 - 16*n/3 + 152/15 = 0. -2, 1, 38 Solve 7*r**3/3 - 86*r**2/3 + 164*r/3 - 40/3 = 0. 2/7, 2, 10 Find b such that 35*b**2 - 780*b + 220 = 0. 2/7, 22 Determine q, given that -5*q**5 - 10*q**4 + 95*q**3 - 140*q**2 + 60*q = 0. -6, 0, 1, 2 Factor 4*h**4 - 72*h**3 - 160*h**2. 4*h**2*(h - 20)*(h + 2) Find l such that -l**5/5 - 2*l**4/5 + 9*l**3/5 + 2*l**2/5 - 8*l/5 = 0. -4, -1, 0, 1, 2 Factor 5*a**3 - 1140*a**2 + 4500*a - 4480. 5*(a - 224)*(a - 2)**2 What is v in -6*v**5/5 - 146*v**4/5 - 36*v**3 + 20*v**2 + 186*v/5 + 46/5 = 0? -23, -1, -1/3, 1 Suppose -3*g**4 + 6*g**2 - 3 = 0. What is g? -1, 1 Factor 2*g**3 - 30*g**2 - 144*g - 152. 2*(g - 19)*(g + 2)**2 Factor 4*j**3 + 76*j**2 - 168*j. 4*j*(j - 2)*(j + 21) Factor -t**2/2 + t + 4. -(t - 4)*(t + 2)/2 What is c in 5*c**5 - 25*c**4 - 35*c**3 + 25*c**2 + 30*c = 0? -1, 0, 1, 6 Factor j**3/9 - 14*j**2/9 - 7*j/3 + 10. (j - 15)*(j - 2)*(j + 3)/9 Factor -3*w**3/8 - 1987*w**2/8 - 331*w/4. -w*(w + 662)*(3*w + 1)/8 Let -2*s**2/5 + 54*s/5 = 0. Calculate s. 0, 27 Factor -3*d**4 - 75*d**3 - 678*d**2 - 2592*d - 3456. -3*(d + 3)*(d + 6)*(d + 8)**2 Factor -16*h**4/7 + 23036*h**3/7 - 11053440*h**2/7 + 1766707200*h/7 + 442368000/7. -4*(h - 480)**3*(4*h + 1)/7 Factor -f**3/2 + 411*f**2/2. -f**2*(f - 411)/2 Factor -h**4 + 9160*h**3 - 31464600*h**2 + 48035956000*h - 27500584810000. -(h - 2290)**4 Factor 2*g**5/19 + 14*g**4/19 - 54*g**3/19 + 58*g**2/19 - 20*g/19. 2*g*(g - 1)**3*(g + 10)/19 Factor g**5 + 19*g**4 + 112*g**3 + 188*g**2 - 64*g - 256. (g - 1)*(g + 2)**2*(g + 8)**2 Solve 12*x**3/13 + 38*x**2/13 + 30*x/13 + 4/13 = 0 for x. -2, -1, -1/6 Factor 2*y**2/3 - 8*y/3. 2*y*(y - 4)/3 Factor 3*b**3/2 - 39*b**2/2 + 165*b/2 - 225/2. 3*(b - 5)**2*(b - 3)/2 Determine w, given that -5*w**4 - 130*w**3 + 55*w**2 + 11700*w - 40500 = 0. -18, 5 What is m in -93*m**2/2 - 96*m - 6 = 0? -2, -2/31 Suppose -n**3 + 40*n**2 - 37*n - 78 = 0. What is n? -1, 2, 39 Factor 2*r**4 - 44*r**2 - 48*r + 90. 2*(r - 5)*(r - 1)*(r + 3)**2 Factor 2*x**2/13 + 72*x + 934/13. 2*(x + 1)*(x + 467)/13 Find r such that -4*r**4 - 16*r**3 + 104*r**2 + 240*r - 900 = 0. -5, 3 Factor -3*w**4 - 6*w**3 + 39*w**2 - 30*w. -3*w*(w - 2)*(w - 1)*(w + 5) Factor -c**3 + 51*c**2 - 759*c + 3509. -(c - 29)*(c - 11)**2 Factor 2*m**2/3 - 1532*m + 880134. 2*(m - 1149)**2/3 Solve 2*t**3/15 - 186*t**2/5 + 2538*t + 39762/5 = 0. -3, 141 Factor 2*k**4 - 4*k**3 - 104*k**2 - 188*k - 90. 2*(k - 9)*(k + 1)**2*(k + 5) Factor -3*c
{ "pile_set_name": "DM Mathematics" }
z + 114*p**2 + 6*z Find the first derivative of -2*o**4 + 1072*o**3 + 18*o - 685432. -8*o**3 + 3216*o**2 + 18 What is the second derivative of -696736*a**3 - 2598*a + 37? -4180416*a Find the third derivative of -2250*g**2*t**3 - 430*g**2*t**2 - 4*g**2 - 13*g*t**2 + 19*t**6 wrt t. -13500*g**2 + 2280*t**3 What is the second derivative of -2*c**4 - 19*c**2*f**2 - 166*c**2*f + c*f + 12*c + 491*f**2 wrt c? -24*c**2 - 38*f**2 - 332*f What is the derivative of -91*f*r - 1123969*f - 1530*r**2 wrt r? -91*f - 3060*r Find the second derivative of 20635*c**2*n**2 + 2*c**2 - 469*c*n**2 - 6*n**2 - 4 wrt c. 41270*n**2 + 4 Find the second derivative of -2*v**3 - 130626*v**2 + 504*v - 325 wrt v. -12*v - 261252 Find the third derivative of 175886*p**4 + 515*p**2 - 763 wrt p. 4221264*p Find the third derivative of -17903*o**3 - 115*o**2 - 12*o wrt o. -107418 What is the third derivative of -11983*v**4 + 39212*v**2 wrt v? -287592*v Find the third derivative of -30051*h**5 + h**4 - 32*h**2 + h + 862. -1803060*h**2 + 24*h What is the derivative of 3219208*k**3 - 2413276 wrt k? 9657624*k**2 Find the first derivative of -i**3*l**2*o - 2*i**3*l + 160*i**3 - 3*i**2*l**2 - 522*i*l**2*o + 2 wrt o. -i**3*l**2 - 522*i*l**2 Find the second derivative of 377317*y**3 - 642024*y wrt y. 2263902*y Find the third derivative of 72045*m**3 - 285*m**2 - 2*m + 40 wrt m. 432270 What is the third derivative of 1154003*p**3 + 334758*p**2 - 3? 6924018 What is the derivative of 2116*r**2 + 606*r - 483239? 4232*r + 606 Find the second derivative of -4462537*n**4 + 371747*n + 1. -53550444*n**2 What is the third derivative of -3720405*g**5 + 228*g**2 + 6295? -223224300*g**2 Find the second derivative of 133435*m**2*q**3 + 58*m*q**3 - 214*m*q**2 - 9*m*q - 2*q**3 wrt m. 266870*q**3 Find the second derivative of -4*n*z**5 + 1285*n*z**3 + 3*n*z - 8*n + 8*z wrt z. -80*n*z**3 + 7710*n*z What is the third derivative of -c**4 - 715*c**3*s - 10*c**3 - 3*c**2*s - 2*c**2 - 3*c + 76*s wrt c? -24*c - 4290*s - 60 What is the third derivative of -6*f**4*y - 7545*f**3*y - f**2*y + 60*f*y + 76 wrt f? -144*f*y - 45270*y What is the second derivative of -s*y**3 - 194*s*y**2 + 8960*s + 2*y**3 + 5*y**2 - 5*y wrt y? -6*s*y - 388*s + 12*y + 10 What is the third derivative of d**4 + 371*d**3*o*r + 12*d**3*o + 9968*d**2*o - 2*r wrt d? 24*d + 2226*o*r + 72*o What is the third derivative of -2036*m**4 + 5*m**3*n**2 + 3*m**2*n**2 + 12793*n**2 wrt m? -48864*m + 30*n**2 What is the first derivative of -414920*p**3*v + 25727*p**3 wrt v? -414920*p**3 Find the third derivative of 307746*w**3 - 565302*w**2. 1846476 What is the second derivative of -1936*b**2*j + 3*b**2*p - 62223*b*j - j*p wrt b? -3872*j + 6*p Differentiate -43102*f*q**2*s**2 + f*s**2 - 929*f*s + q**3*s with respect to q. -86204*f*q*s**2 + 3*q**2*s What is the third derivative of -33*f**4*o + 5186*f**3*o - 144025*f**2*o - 2*f**2 wrt f? -792*f*o + 31116*o What is the third derivative of -7236*j**6 + 4*j**4*l**3 + 2*j**2 - 236*j*l**3 + 3*l**3 + 2*l wrt j? -868320*j**3 + 96*j*l**3 What is the second derivative of -109939*p**3 - 78437*p + 2? -659634*p Differentiate 13120*m - 35978 with respect to m. 13120 Differentiate 335836*i - 584085 with respect to i. 335836 Find the third derivative of -148*j**3*o*s**2 + 8*j**3*o*s - 4*j**3*s**2 + 650*j**2*o*s + j*o + 5*j*s**2 wrt j. -888*o*s**2 + 48*o*s - 24*s**2 Find the second derivative of -15637*d**3 + 60055*d wrt d. -93822*d Find the first derivative of 3798304*o + 2145270. 3798304 What is the second derivative of 2*u**3 - 2252131*u**2 + 446*u + 1279 wrt u? 12*u - 4504262 Find the second derivative of -2*x**4 - 4263*x**3 + 46*x - 18. -24*x**2 - 25578*x Differentiate 31623*d**2 - 66526. 63246*d Find the second derivative of -6*c**4 + 63*c**3 + 2*c - 21606. -72*c**2 + 378*c What is the first derivative of 25*b**4 - b**3 - 9*b**2 - 143*b - 2119835? 100*b**3 - 3*b**2 - 18*b - 143 Find the third derivative of -2*f*g*m**2 + 2188*f*g - f*m**3 - 2*f - 118679*g*m**3 - g*m**2 - g wrt m. -6*f - 712074*g Differentiate -1365*f**3*u**4 - 9*f**3*u + 2*f**3 - f**2 - 9561*f with respect to u. -5460*f**3*u**3 - 9*f**3 Find the third derivative of 47936*s**5 - 52681*s**2 wrt s. 2876160*s**2 Find the second derivative of 1406316*i**4 - 4131*i - 149. 16875792*i**2 Find the second derivative of -1020*a**3*o**3 + a**3*o + 2*a**3 - 97*a + 425*o**2 + 94*o wrt o. -6120*a**3*o + 850 What is the second derivative of 459*s**3 - 6*s**2 + 42526*s wrt s? 2754*s - 12 Find the third derivative of -60849*a**3*t - 2*a**3 + 2*a**2*t + 41311*a*t wrt a. -365094*t - 12 Find the first derivative of -2281*k**3 - 123*k**2*u**2 + 676*u**2 + u - 719 wrt k. -6843*k**2 - 246*k*u**2 What is the third derivative of -166032*a**4 - 355*a**2 + 3*a - 14? -3984768*a What is the first derivative of -2*j**4 - 3*j**3 - 1780*j**2 + j + 669842 wrt j? -8*j**3 - 9*j**2 - 3560*j + 1 What is the third derivative of -154471*x**3 - 416641*x**2? -926826 Find the third derivative of 323*h**4*n + 7*h**3*n*w**3 + 5*h**3*n + 2*h**2*w**2 + 5*h*n*w**3 - 1340*h*n*w**2 wrt h. 7752*h*n + 42*n*w**3 + 30*n What is the third derivative of -4*a**5 + 24839*a**3 + 2*a**2 + 34757*a - 2 wrt a? -240*a**2 + 149034 What is the third derivative of -163087*g**3 + 578*g**2 + 16*g wrt g? -978522 What is the derivative of 321941*q**2 - 907830 wrt q? 643882*q What is the derivative of -98655*k*l**2*m - 11*k*l**2 + k*l + 1003*k + l**2 + 3*l wrt m? -98655*k*l**2 What is the third derivative of -3*z**5 + 27213*z**4 - 2*z**3 - 35632*z**2? -180*z**2 + 653112*z - 12 Find the third derivative of 22*b**2*c**3*y**3 + 4818*b**2*c*y**3 + 2*b**2*c*y**2 + b**2*y + 3*b**2 - 85*b*c**3*y**2 - 2*c**3*y**2 - 11*c*y**2 wrt y. 132*b**2*c**3 + 28908*b**2*c Find the third derivative of 1749815*v**3 - 86*v**2 + 2374*v - 2. 10498890 What is the first derivative of 2*t**4 + 2*t**2 + 1492*t + 10996? 8*t**3 + 4*t + 1492 What is the third derivative of -171*n**5 + 57*n**4 + 1428*n**2 - 3? -10260*n**2 + 1368*n Find the third derivative of 57*c**3*n**2 + 2*c**3*n + 2656*c**3 + 2*c**2*n**2 + 1682*c**2*n + c*n**2 - 70*n**2 wrt c. 342*n**2 + 12*n + 15936 Differentiate 362*q*s**2 - 2*q*s*u + 4*q*s + 10*q - 336929*s**3*u + 2*s**3 + 3*s**2 with respect to u. -2*q*s - 336929*s**3 Find the second derivative of -378*j*y**2*z - j*y + 69*j*z - 90*j + 13*y**3 + 2*y**2*z wrt y. -756*j*z + 78*y + 4*z Find the third derivative of 58403*f**4 - 2*f**3 + 318534*f**2. 1401672*f - 12 Find the third derivative of -3*j*q**3*r**3 + 758*j*q**2*r**3 + 2*j*q**2 - 3*j*r**3 + 69268*q**3*r + 6*q**2*r**2 wrt q. -18*j*r**3 + 415608*r What is the first derivative of j*k*l + 3*j*k - 153*j*l + 2*j + k*l - 19275*k - 138*l + 1 wrt k? j*l + 3*j + l - 19275 Find the second derivative of 88*c**2*t**3 + 3*c**2*t**2 - c**2 - 19*c*t**3 - 20873*t wrt t. 528*c**2*t + 6*c**2 - 114*c*t What is the third derivative of -4*r**4 + 28588*r**3 + 1067991*r**2? -96*r + 171528 What is the first derivative of -17859*g**4 - 10631 wrt g? -71436*g**3 What is the second derivative of -204150*h**2 + 1796*h + 2? -408300 Find the second derivative of -p**2*x**2 - 1289*p**2*x - 12*p**2 + 7*p*x**2 - 2491*x**2 wrt x. -2*p**2 + 14*p - 4982 Find the second derivative of 3392*h**3*n**2 - 62*h**3*n + h**3 - 7*h**2*n**4 + 64*n + 1 wrt n. 6784*h**3 - 84*h**2*n**2 Find the first derivative of 114523*l + 20332 wrt l. 114523 What is the first derivative of 16674*r**3 + 49*r**2 - 1669236? 50022*r**2 + 98*r Find the second derivative of 8*h**4 - 1290*h**3 + 72562*h. 96*h**2 - 7740*h Find the first derivative of 9*z**2 + 3942*z - 105574. 18*z + 3942 Differentiate -3*a**2*f + 4*a**2 + a*f**2 - 5010*a + 749*f**2 - f + 4 wrt f. -3*a**2 + 2*a*f + 1498*f - 1 What is the second derivative of -3*g**3 - 11703*g**2 - 38956*g - 4? -18*g - 23406 What is the first derivative of 3*o**4 - 19444*o**2 + 371234? 12*o**3 - 38888*o What is the second derivative of -177776*b**3 + b**2 + 12*b + 3977? -1066656*b + 2 What is the third derivative of -2776*y**4 - 158*y**3 - 1205*y**2 + 3*y - 10? -66624*y - 948 Find the third derivative of 72*a*c**3*m**3 - 2410*a*c**3*m - 13*a*c**2*m**3 + 6*a*c**2*m**2 - 2*a*c**2*m - 7*a*c*m**3 - 7*c*m wrt c. 432*a*m**3 - 14460*a*m What is the third derivative of -39186*j**3*x**3 - 1700*j**2*x**2 - 2*j
{ "pile_set_name": "DM Mathematics" }
)? 6 What is the value of (-43)/((-559)/13)*((-1)/17)/(-1)? 1/17 What is the value of ((-9)/((-162)/(-204)))/((112/12)/14)? -17 1/(-2)*((-6)/(-6))/(7/(-42)) 3 (1/44*6)/(36/(-288)) -12/11 What is the value of 196/35*(-690)/(-483)? 8 Evaluate 3*(5/63)/(10/12). 2/7 What is the value of (-114)/(-10)*((-15180)/(-198))/46? 19 Calculate (-184)/138*(-75)/(-20)*-1. 5 Evaluate ((-456)/4180)/(21/(-70)). 4/11 What is the value of ((-18)/(-48))/((-84)/(-1568))? 7 What is the value of ((-10)/5)/(((-388)/(-1649))/((-2)/6))? 17/6 13/((3/4)/(165/220)) 13 What is 6/(-15)*(-37)/(-148)? -1/10 Calculate (-15)/((-45)/(-2))*(-21)/(-301). -2/43 What is ((-9)/(-12))/(297/(-176))? -4/9 What is the value of (-3)/(-3)*96/8? 12 ((-2)/(-2))/9*3564/(-396) -1 (22680/385)/36*1 18/11 4*(-2)/(-20)*65/(-26) -1 What is (20/(-20)*10)/2? -5 What is ((-10)/2)/((-8)/32*10)? 2 What is the value of (2*2/(-32))/((-182)/832)? 4/7 ((-3)/(-20))/((-22)/((-132)/9)) 1/10 What is (-2)/1*30/36*(-10)/(-25)? -2/3 What is (-2)/(-4)*5*(8640/50)/(-24)? -18 (-1*3/3)/((288/16)/(-18)) 1 What is -3*(-980)/6615*(-6)/14? -4/21 What is the value of -7*2*(-30)/40*2/(-3)? -7 What is (-1)/((-25)/25)*0? 0 Evaluate 1*(-956)/(-17925)*(18/4)/(-3). -2/25 Evaluate 1*36/(-378)*-3. 2/7 (((-546)/(-26))/21)/(10/(-6)) -3/5 Calculate (11/132*3)/2. 1/8 Calculate ((-72)/5400)/((-8)/24). 1/25 Evaluate (-5)/((-5)/16)*378/(-2268). -8/3 Calculate ((-360)/(-300))/(8/(-25))*(-39)/130. 9/8 ((12/(-7))/(4/2))/(5/35) -6 What is the value of (2/24)/(7/(224/24))? 1/9 Calculate 1*6/10*50/(-90)*21. -7 What is ((-9)/5)/(9/(-15))*20/(-10)? -6 What is the value of (-8)/(-21)*((-70)/(-84))/((-30)/(-27))? 2/7 What is ((495/(-231))/3)/(5/((-70)/(-4)))? -5/2 What is -9*(-4)/(-24)*54/(-9)? 9 What is ((8/180)/((-20)/25))/(3/(-6))? 1/9 Evaluate 2/(((-15)/(195/(-13)))/(3/1)). 6 Calculate (3*(-260)/40)/((-3)/2). 13 What is the value of (-83)/((-12782)/(-528))*7? -24 What is the value of (((-120)/(-3))/5)/((-8)/(-4))? 4 What is (-14)/69*(-3690)/(-4305)? -4/23 (-154)/(-33)*30*3/(-21) -20 Evaluate (-26*(-2)/(-5))/(92/10350*45). -26 What is the value of (13/(-5))/(((-26)/(-455))/(4/14))? -13 Evaluate ((-15048)/4180)/(27/150). -20 What is -22*(2/(-18))/((-27)/((-243)/(-2)))? -11 Calculate (5/280*7)/((-6)/40). -5/6 What is ((-4)/(-28))/(18/27*-3)? -1/14 (9/6)/((10/35)/(12/(-21))) -3 (-4)/(-3)*(-762)/508 -2 What is 846/2256*8/(-6)? -1/2 ((-1)/(10/(-45)))/((-11)/(11/6)) -3/4 Evaluate ((10/(-4))/((-85)/68))/(-15). -2/15 Evaluate (78/8)/((-27)/3*(-94)/(-2256)). -26 Evaluate 320/(-240)*(-42)/(-35). -8/5 Calculate (-2)/6*53/(8162/66). -1/7 Calculate (-1)/((9/(-63))/(((-72)/(-42))/(-4))). -3 Evaluate (65*81/(-1404))/((-13)/(-8)). -30/13 ((-7)/9)/(63*(-5)/30) 2/27 Evaluate (3724/1197)/(4/(-6))*-3. 14 What is (798/190)/((-5)/(50/3))? -14 What is (2/(-7))/((-3570)/(-490))*(-6)/4? 1/17 399/266*4/6 1 What is the value of ((-14)/21)/(50/(-375))? 5 Calculate -8*80/(-96)*(-3)/(-5). 4 Evaluate ((2/6)/(1/9))/((-90)/(-20)). 2/3 ((-5)/((-150)/4))/((-6)/(-5)) 1/9 What is the value of (-4)/(-2)*-4*51/(-136)? 3 What is (94/(-564))/((-2)/(-228))? -19 What is ((-9)/(-462)*2)/(((-210)/14)/(-105))? 3/11 Evaluate 5/(-30)*-8*(231/(-55))/7. -4/5 What is (8/(-32)*-38)/(6/(-12))? -19 (6/(-144))/((-4)/24) 1/4 Evaluate 8*2/16*5*16/(-5). -16 Calculate ((3*2)/2)/((-61)/((-5490)/675)). 2/5 What is 192/320*-5*(-14)/27*-1? -14/9 Calculate (-67)/((-6700)/150)*3/(18/4). 1 (3/5)/(((-3)/(-102))/(570/684)) 17 Calculate (4/12)/(44/33). 1/4 Evaluate (8085/11858)/(15/(-6)). -3/11 -10*34/(1156/(-51)) 15 What is the value of (12/9)/((-5)/((-90)/(-84)))? -2/7 What is ((-4459)/126)/49*-18? 13 Evaluate (216/36)/((-10)/(-15)). 9 Calculate ((-15)/90)/(8/16). -1/3 ((-1190)/11900)/(2*3/(-216)) 18/5 3*(-12)/(576/272) -17 Evaluate (1/2)/(2/27*(-24)/32). -9 ((-128)/48)/((-60)/225) 10 What is the value of ((-2)/(-7))/(44390/(-13510))? -2/23 What is the value of ((-140)/(-80))/((-1)/(-4))? 7 What is the value of 1/5*5775/231? 5 ((-116)/(-87))/(((-114)/(-30))/(6/20)) 2/19 Evaluate (119/(-102))/(3/27)*8/6. -14 ((-4)/(-4))/((-5)/(2850/(-10))*3) 19 Evaluate (84/(-245))/((-24)/60). 6/7 What is the value of (-8)/(-6)*(-1482)/152? -13 Calculate ((-15)/30*0)/((-9)/(-3)). 0 Evaluate 50*(-18)/90*(-4)/390*3. 4/13 What is the value of 18/((2/14)/(2/(-14)))? -18 Calculate ((-5)/15*3)/((-112)/224). 2 -2*(8/20)/((-96)/(-1080)) -9 Evaluate 873/4656*16/42. 1/14 What is (35/42)/((-50)/40)*7*3? -14 (-4*3/54)/(356/1068) -2/3 What is the value of (5/15)/((2/(-10))/((-15)/(-475)))? -1/19 (-156)/(-28)*259/222 13/2 Calculate ((-17)/(-68))/((-4)/(2*136)). -17 Calculate (2*(-2)/(-8))/((11767/123)/(-41)). -3/14 Calculate (11*(-1426)/(-1265))/(5/((-25)/2)). -31 Evaluate (-291)/97*(-10)/3. 10 Evaluate (46/(-18))/(-23)*-3. -1/3 Calculate (((-1008)/(-30))/(-21))/(3*2/(-15)). 4 (12/(-18))/((20/90)/(1/1)) -3 What is 15/6435*-11*-3? 1/13 Calculate ((-316)/(-1422))/((3/(-3))/(-18)). 4 Evaluate (-10)/(-4)*172/43. 10 Evaluate 16/10*46/76912*38. 2/55 What is the value of ((51/6)/(-17))/(12/((-4)/(-1)))? -1/6 ((-425)/(-250))/((-3)/(-30)) 17 Evaluate (-62)/(-155)*-20*(-8*1)/(-4). -16 (-28)/18*(-3186)/413 12 What is the value of (((-175)/30)/7)/((-40)/72)? 3/2 Calculate ((462/28)/(-11))/((-2)/(24/(-9))). -2 What is the value of (18/(-170))/(-1)*(-5100)/(-1530)? 6/17 What is the value of ((-1)/((-5)/(25/(-5))))/(-2)? 1/2 (-42)/126*(-135)/3 15 11/(1155/84)*((-35)/(-6))/7 2/3 Evaluate (5/(-2))/((2/40)/((-328)/(-656))). -25 What is ((-1023)/(-5394))/(88/16)? 1/29 What is (-222)/(-222)*2/((-6)/(-9))? 3 (-1*((-121)/33)/11)/(-3) -1/9 What is ((-1748)/(-152))/((-2)/(-8)*2)*1? 23 Calculate 35/15*162/42. 9 Evaluate -1*75*43/(-11610)*-54. -15 What is ((-2)/80)/(((-25)/((-1500)/45))/(-6))? 1/5 36/924*-7*-2 6/11 What is the value of (-32)/((-3584)/(-28))*-6*(-8)/60? -1/5 Evaluate 15/(-150)*(1/(-6))/(2/(-20)). -1/6 What is the value of (-25)/(-2)*(-29)/((-3770)/(-13))? -5/4 1157/(-32396)*70/(-6) 5/12 Evaluate 780/3510*9/10. 1/5 Evaluate ((-243)/(-54))/((12/(-16))/((-6)/(-4))). -9 Calculate ((-40)/2)/(-1)*4/80*10. 10 What is (2/20)/((-1)/(-5))*1? 1/2 Calculate (2/(-1))/(15/20*(-2368)/(-3996)). -9/2 1863/828*2/(-9) -1/2 Calculate 13/(104/(-3))*2*(-16)/44. 3/11 What is the value of (10/(-12))/((539/(-66))/49)? 5 Calculate ((-741)/(-312))/((-5)/(-40))*-1. -19 What is the value of (72/(-30)*(-25)/(-40))/((-2)/(-4))? -3 What is the value of 28/(364/(-39))*((-150)/9)/10? 5 (24/9)/(8*((-175)/(-60))/(-5)) -4/7 What is ((-18)/8)/3*8*957/4785? -6/5 What is ((-10)/10)/((-3)/(-12))? -4 What is (36/10)/((-18)/(-480)*8)? 12 What is the value of (6/7)/(71/(20377/1599))? 2/13 What is ((-320)/(-2380))/(29/493)? 16/7 Evaluate (-1)/15*2*-29*(-110)/7656. -1/18 ((-405)/108)/((-3)/(-4)) -5 Calculate (-12)/26*(-10218)/(-1572). -3 Evaluate (-4)/1*315/140. -9 Evaluate 3/2*30/(-6)*(-564)/235. 18 Evaluate ((-60)/128)/((210/(-15))/56). 15/8 What is 44/(-33)*(-243)/(-18)? -18 What is (-80)/12*(-53)/(265/(-2))? -8/3 Evaluate (6/(-15))/((-85)/1275). 6 What is (-3)/(-7)*(-3)/3*(-48)/(-216)? -2/21 (-2)/(-4)*(-242)/11 -11 What is the value of 387/344*48/(-9)? -6 What is 7/(-2)*30/(-75)? 7/5 What is 565/(-339)*(-6)/5? 2 Evaluate (-32)/(-112)*(-17)/68. -1/14 Evaluate (28/420*-9)/(6/250). -25 What is the value of (19790/(-43538))/((-5)/(-8))? -8/11 182/26*(-20)/4 -35 Calculate 69/(-92)*4/34*2. -3/17 What is the value of (72/(-32))/((12/(-16))/3)? 9 9/(-30)*(-14)/3*636/1113 4/5 What is the value of -18*(-14)/3150*(-5)/(-3)? 2/15 Calculate ((-18)/96)/((6/(-7))/(144/36)). 7/8 Evaluate 3/5*57/((-18468)/360). -2/3 Evaluate -54*(-1)/2*33/(693/14). 18 Evaluate 1*19/342*-30. -5/3 Calculate (108/24*8/165)/((-142)/(-355)). 6/11 (72/(-96))/((-5)/(-4)*(-48)/40) 1/2 Evaluate (1*1/33)/(157/(-942)). -2/11 Calculate (-2464)/(-28)*((-27)/24)/(-9). 11 What is (-3*2/14)/((-333)/10878)? 14 Calculate 3/4*(-576)/(-216)*12/8. 3 Evaluate 15*(-63)/(-42)*(-7)/((-3570)/8). 6/17 What is ((-4)/5)/((-10)/500*-5)? -8 Evaluate 45/9*(-72)/45. -8 What is the value of (-8)/(-3)*(-273)/(-182)? 4 What is (4/(-10))/(5*5/(-50)*4)? 1/5 What is (-1463)/(-418)*(-12)/(-7)? 6 Calculate ((-65)/10)/13*-44. 22 What is (225/(-100))/((-5)/(-60))? -27 Evaluate (16*2/32)/((-10)/(-28)). 14/5 What is (-6)/4*116/174*(-15)/3? 5 450/90*(-1)/1 -5 What is
{ "pile_set_name": "DM Mathematics" }
= 3*w(i) + 4*y(i). Let j(c) be the second derivative of 2*c**3/3 - 391*c. Give j(o(d)). 8*d Let j(b) = -b. Let y(t) be the first derivative of -t**2 + 10. Let l(u) = 2*u. Let w(d) = 4*l(d) + 3*y(d). Calculate w(j(n)). -2*n Let b(a) = -2*a**2 + 3. Let w(d) = 1931*d + 1939*d - 3857*d. Calculate b(w(k)). -338*k**2 + 3 Let f(c) be the third derivative of -c**4/3 + 142*c**2. Let d(k) = 5*k**2. Determine f(d(x)). -40*x**2 Let l(r) = 4*r. Let f(s) be the second derivative of -s**3/3 - 73*s + 2. Give f(l(a)). -8*a Suppose 3*n = -2*n + 15. Let t(w) = w - n*w**2 - w + w**2. Let c(d) = -2 + 2 + 2*d**2. Determine c(t(o)). 8*o**4 Let r(s) = -4*s + 11*s - 11*s + 3*s. Let n(x) = 2*x**2 + 172. Give n(r(i)). 2*i**2 + 172 Let u(v) = 2*v. Let p(g) = -902*g. What is u(p(l))? -1804*l Let l(b) = 4*b. Suppose 4*n - 2*f - 4 = 0, 0 = 4*f - 2 - 14. Let m(g) be the second derivative of 7*g + 0*g**2 + 0 + 1/3*g**n. Calculate m(l(h)). 8*h Let u(m) = -m**2. Suppose 18*t - 112 = -436. Let l(a) = -a. Let p(r) be the second derivative of 5*r**3/6 - r. Let s(q) = t*l(q) - 4*p(q). Calculate s(u(d)). 2*d**2 Let n(u) = -140*u + 170. Let q(f) = 10*f - 12. Let y(p) = -6*n(p) - 85*q(p). Let c(d) = -3*d**2. Give c(y(w)). -300*w**2 Let v(x) = 2*x. Let p(f) = -86347*f + 2. Calculate v(p(r)). -172694*r + 4 Let t(j) = 5*j**2. Let k(p) = 7*p + 4. Let l(x) = 6*x + 3. Let o(m) = m**2 + 3*m + 4. Let r be o(-3). Let c(b) = r*l(b) - 3*k(b). Give c(t(u)). 15*u**2 Let a(g) = 12*g**2 + 35*g - 55. Let c(s) = -19*s**2 - 56*s + 82. Let u(x) = 8*a(x) + 5*c(x). Let l(z) = -8*z**2. Calculate u(l(o)). 64*o**4 - 30 Let d(g) = -27*g**2. Suppose j - 12 = 5*s, 2*j + 0*j - 3*s = 10. Let z(h) = 45*h**2 + 45*h**2 - 89*h**j. What is z(d(t))? 729*t**4 Let x(i) = -58*i - 90. Let k(c) = -7*c. Calculate k(x(h)). 406*h + 630 Let o(l) = -12*l. Let v(y) be the third derivative of -y**4/4 - 13*y**3/3 + 7*y**2. Let k(x) = -3*x - 12. Let j(r) = -13*k(r) + 6*v(r). What is j(o(s))? -36*s Let u(a) = 77282*a - 1. Let g(k) = -k. Calculate g(u(s)). -77282*s + 1 Let t(o) = -10*o - 12. Let l(b) = -2*b - 3. Let j(s) = -4*l(s) + t(s). Let i(g) = -1053*g**2. Calculate i(j(v)). -4212*v**2 Let w(h) = 2*h**2 - 7*h. Let p(s) = 9*s**2 + 9. Give w(p(k)). 162*k**4 + 261*k**2 + 99 Let u(t) = -52*t**2. Let b(q) = -207*q**2. Calculate u(b(a)). -2228148*a**4 Let n be (6/12)/((-1)/(-4)). Let a(v) = -7 + 20 - 13 - 2*v**n. Let q(i) = 88*i**2. What is a(q(k))? -15488*k**4 Let y(d) = -2*d + 6*d - 3*d. Let j(i) be the first derivative of -15*i**2 + 263. What is j(y(f))? -30*f Let o(j) = 4785*j**2. Let x(s) = -20*s**2. Give o(x(i)). 1914000*i**4 Let b(g) = -14*g**2 - 11*g. Let n(x) = -7*x**2 - 6*x. Let j(s) = -6*b(s) + 11*n(s). Let y(f) = 150*f + 145*f - 444*f + 3*f**2 + 149*f. Calculate y(j(d)). 147*d**4 Let z(p) = 9*p. Let g(a) = 4*a. Let q(k) = 5*g(k) - 2*z(k). Let v(l) be the first derivative of -2*l**3 - 12. Give v(q(x)). -24*x**2 Let k(f) = -428*f. Let s(m) = -m**2 + 201*m. What is k(s(q))? 428*q**2 - 86028*q Let h(f) = f**3 - 2*f**2 + f - 9. Let z be h(4). Let t(c) = 53*c + 31*c**2 - z*c - 26*c. Let u(k) = 2*k**2. What is t(u(n))? 124*n**4 Let g(r) = -1077*r. Let t(z) = 2*z + 140. Calculate g(t(a)). -2154*a - 150780 Let a(i) = 15626*i**2. Let m(u) = -390*u**2. Calculate m(a(o)). -95227031640*o**4 Let m be (1 + 3/(-6))*0. Suppose m = k - 3*k + 4. Let i(f) = 1 - 1 + k*f + 0. Let p(y) = 6*y. Calculate p(i(w)). 12*w Suppose 4 = 3*u + 1, -5*v + 3*u = -37. Let b(l) = -v*l - 2*l + l. Let x(h) = 2*h + 7 - 7. Give x(b(s)). -18*s Let g(f) = -f**2 + 5*f**2 - 2*f**2. Let y(t) be the first derivative of -11*t**3/3 - 1610. Determine g(y(h)). 242*h**4 Let k(m) be the third derivative of -m**4/12 - 57*m**2. Let f(x) = x**2 - 2*x - 2. Let d(s) = -6*s**2 + 13*s + 13. Let y(i) = -6*d(i) - 39*f(i). Give k(y(p)). 6*p**2 Let y(r) = r**2 - 2*r + 2. Let i(p) = -4*p**2 + 7*p - 7. Let g(v) = 4*i(v) + 14*y(v). Let h = 17 - 15. Let z(u) = 2*u**2 - h*u + u + u. Give z(g(a)). 8*a**4 Let d(a) = -12*a**2. Let u(q) = -26*q - 31. Let k(t) = -8*t - 9. Let c(f) = -7*k(f) + 2*u(f). Calculate c(d(r)). -48*r**2 + 1 Let w(b) = -90*b. Let u(a) = -465*a**2. Give u(w(l)). -3766500*l**2 Let j = -12 + 16. Let l(i) be the second derivative of -j*i + 3*i - i + 2*i**3. Let t(n) = 2*n**2. Determine l(t(z)). 24*z**2 Let o(l) = 4*l. Let d(w) be the first derivative of w**5/30 - 5*w**2 + 6. Let y(s) be the second derivative of d(s). Calculate y(o(m)). 32*m**2 Let m(z) be the third derivative of z**4/8 + 3*z**2. Let a(x) = -11*x**2. Let v(l) = -39*l**2. Let j = -8 - -26. Let n(o) = j*a(o) - 5*v(o). What is m(n(d))? -9*d**2 Let i(k) = -46*k**2. Let u(m) = 5*m + 32. Calculate u(i(v)). -230*v**2 + 32 Let f(j) = j**3 - 4*j**2 - 4*j + 10. Let t be f(5). Let i(p) = 7*p - t*p + 11*p. Let c(o) = 7*o**2. Give i(c(q)). 21*q**2 Let t(j) be the third derivative of -9*j**5/20 + j**4/12 + 152*j**2. Let w(d) = d**2. Determine t(w(l)). -27*l**4 + 2*l**2 Let l(n) = n**2 - n + 1. Let u(z) = -6*z**2 + 5*z - 5. Let j be 1 + 2/(6/27). Let m(c) = j*l(c) + 2*u(c). Let v(k) = 0*k**2 - k**2 + 2*k**2. What is v(m(f))? 4*f**4 Let y(b) = -364871*b**2. Let d(o) = 6*o**2. What is d(y(k))? 798785079846*k**4 Let l(b) = -4. Let i(x) = -x + 2. Let p(r) = 2*i(r) + l(r). Suppose 0 = -3*v - v + 16. Let g(h) = v - 4 - 5*h. Determine p(g(o)). 10*o Let z(k) = 5*k**2 + 11*k - 2. Let h(m) = -66*m**2 - 150*m + 27. Let n(r) = -2*h(r) - 27*z(r). Let p(d) = -d**2. Give n(p(v)). -3*v**4 - 3*v**2 Let k(o) = 5*o. Let c(y) = -114938*y. Give k(c(r)). -574690*r Let f(z) = 46*z**2 - z. Let p(h) = -26*h - 68. Let b(j) = -9*j - 24. Let c(t) = 17*b(t) - 6*p(t). What is f(c(k))? 414*k**2 - 3*k Let w(c) be the second derivative of -c**4/4 - 2*c + 3. Let v(f) = -34*f + 2. Determine w(v(u)). -3468*u**2 + 408*u - 12 Let q(w) = -2*w**2. Let j(s) = 448*s - 95*s + 447*s. Give q(j(u)). -1280000*u**2 Let v(z) = z. Let t be 0 - (-1 + 0 + -2). Suppose 94*q - 89*q - 20 = 0. Let n(d) = t + 9*d - q*d - 3. What is v(n(o))? 5*o Let u(b) = 0*b**2 - 15*b - 4*b - b**2 + 19*b. Let p(z) = -4*z + 12. Calculate u(p(j)). -16*j**2 + 96*j - 144 Let v(y) = -14636*y**2. Let h(c) = 135*c**2. Give v(h(t)). -266741100*t**4 Let v(w) = -2*w. Let i(l) = -11*l + 15. Let t(o) = 12*o - 18. Let u(n) = -6*i(n) - 5*t(n). Give v(u(k)). -12*k Let d be 4/(-8)*-6*11. Let p = d + -1. Let c(b) = 32 - p - 2*b**2. Let y(u) = 8*u**2. Determine y(c(i)). 32*i**4 Let g(s) = -378759*s**2 + 2. Let h(z) = -z**2. Calculate g(h(y)). -378759*y**4 + 2 Let m(d) be the second derivative of 29*d**4/12 + d**3/3 + 446*d. Let q(b) = 2*b**2. What is q(m(l))? 1682*l**4 + 232*l**3 + 8*l**2 Let q(d) = -2*d + 4. Let h(z) = 402*z. Determine q(h(v)). -804*v + 4 Let n(z) be the second derivative of -27*z**3 + 149*z. Let w(p) = 2*p**2. Give w(n(x)). 52488*x**2 Let b(h) = h. Let l(j) = -3*j**2 + 2*j + 592. Calculate l(b(f)). -3*f**2 + 2*f + 592 Let k(v) = -16*v**2. Let s(b) = -14*b - 12. Let f(z) = z + 3. Let d(o) = 4*f(o) + s(o). Determine k(d(y)). -1600*y**2 Let w(i) be the third derivative of 0 + 20*i**2 + 0*i**3 + 0*i**4 - 1/12*i**5 + 0*i. Let v(a) = 3*a. Calculate w(v(p)). -45*p**2 Let a(l) = -l. Suppose b - 2*x + 4*x - 11 = 0, 3*b - 5*x - 22 = 0. Let k(h) = 3*h + 9. Let n(g) = -8 + 10 + 2 + g. Let r(i) = b*n(i) - 4*k(i). Give a(r(q)). 3*q Let o(h) = -2*h**2 - 3*h**2 + 6*h**2. Let a(z) be the first derivative of z**5/10 + 2*z**2 - 14. Let u(q) be the second derivative of a(q). Determine o(u(g)). 36*g**4 Let j(m) = -11*m**2 + 29. Let x(k) = 6*k. Determine x(j(d)). -66*d**2 + 174 Let u(x) = -49*x**2. Let a(w) = 9*w + 21. Determine u(a(f)). -3969*f**2 - 18522*f - 21609 Let l(y) = y. Let m(b) = -2 + 1187*b**2 + 1571*b**2 - 2429*b**2. What is l(m(t))? 329*t**2 - 2 Let s(o) = -45*o. Let c(y) = 1056*y. Determine s(c(z)). -47520*z Let g(w) = w**2 + w + 1. Let x(d) = 8*d**2 + 7*d + 7. Let t(k) = -21*g(k) + 3*x(k). Let n(p) be the first derivative of 10*p**3/3 + 46. Give t(n(y)). 300*y**4 Let l(m) = 2316*m. Let j(p) = -107*p. Determine j(l(t)). -247812*t Let l(v) = 7*v**2. Let u(k) = k. Let r(i) = 2*i. Let d(w) = -2*r(w) + 3*u(w). Calculate l(d(s)). 7*s**2 Let p(b) = -4*b. Let c(x) = -5*x + 8*x - 9*x - 8*x + 12*x - 46. What is p(c(k))? 8*k + 184 Let j(b) = -b**2. Let y(u) be the first derivative of u**5/15 - 14*u**3/3 + 2.
{ "pile_set_name": "DM Mathematics" }
-2)/8). Which is bigger: -2/7 or u? u Let q be 0*(-4)/(-16) + 0. Which is smaller: 7/15 or q? q Suppose 3*c - 7*c = 120. Let o = c + 55. Is 24 smaller than o? True Suppose 282 = -6*q + 1470. Suppose 0 = 3*r + q - 195. Which is smaller: -2/81 or r? r Let j(t) = -t - 3. Let o be j(-5). Let m = 39 + o. Which is smaller: m or -1/2? -1/2 Let q = 420880887/3170 + -132770. Let h = q + 74059/1902. Let u = h - 39. Which is smaller: 1 or u? u Let y = -0.0142 + -0.1858. Is y less than 7? True Let n = -19.8 + 20.5. Which is smaller: 1.8 or n? n Let i = 63.23 + -63.3. Do -5 and i have the same value? False Suppose -6*a + 7*a - 27 = 5*f, -f - 3 = a. Is a less than or equal to 11/8? False Let s be -63 + 0 - (26 - 24). Is -66 >= s? False Let r = -42 + 44. Let k = 1.3 + 0.7. Let q = k + -5. Is q < r? True Let h be 24/(-2)*(-18)/12. Which is smaller: 20 or h? h Suppose 4*l + 5*o - 11 = 5, 5*l = -4*o + 11. Let z = 82788/13 - 6368. Is z less than l? False Let h be (2 - (2 - 10/200))*3*-2. Let k = 0.8 - -2.2. Is h at least as big as k? False Let q = -2596.62 - -2573. Let j = 7.66 + q. Let k = 16 + j. Is 1 < k? False Let a = 135 + -1756/13. Let h(i) = -i + 14. Let o(q) = -13*q. Let d be o(-1). Let s be h(d). Which is greater: s or a? s Let m = -58.6 + 58.542. Which is smaller: -1 or m? -1 Suppose 5*y - 183 = -h, 2*h + 2*y + 2*y - 396 = 0. Let q be ((-24)/h)/(6/(-8)). Is 6 less than or equal to q? False Suppose 0 = x - 3*x + 4. Let m = 113/2 - 54. Is m at least x? True Let q = 38 - 39.16. Let j = q + 0.06. Let g = 1 + j. Which is smaller: g or 3? g Suppose -4*h = -0*h - 8. Suppose -5*j = -1 - 9, 0 = 5*d - 2*j - 16. Let c be 2*d/(-14)*-3. Is h at most as big as c? False Let o = 26 + -25.81. Let r = -0.28 + o. Let x = r - 0.11. Which is bigger: -3 or x? x Let i be (3 + -5)/((-7)/(-2)) - (-33)/70. Let q = 0.4 - 0.3. Let m = q + 0. Is m equal to i? False Let f = 19.027 + -19. Let c = f - 5.227. Let v = 5 + c. Which is bigger: v or 1? 1 Suppose 3*n - 4*c = -2, -3*n - 2*c = -5*c. Let j(t) = 2*t**3 - t**2 + t - 3. Let q be j(3). Let x be (-24)/q*15/(-6). Is x equal to n? False Suppose g = 3*g + 14. Let q = -3 + g. Let m = -10 - q. Is m less than or equal to 0? True Suppose 0 = 11*h - 9 - 13. Let i = h - -21. Is 24 greater than i? True Let i be (-82)/(-4) - (-1 + 5/10). Which is smaller: i or 31? i Let m(h) = -50*h**3 + 2*h**2 - 4*h + 2. Let i be m(1). Let r be (i/4)/((-9)/(-54)). Is r smaller than -74? True Let h = 12.18 + -12. Let j = h + 0.82. Is j < -17? False Let o = -103921/33 - -9353/3. Is -31 less than or equal to o? False Let v be 60/(-80) - 1/4. Which is smaller: -1/174 or v? v Let x be ((-20)/25)/(4/(-30)). Let d be x*3*(-2)/246. Which is bigger: d or 0? 0 Let w = 0.1 - -8.9. Let m = -8.6 + w. Let c(l) = l**2 + 5*l - 3. Let d be c(-5). Is m at most as big as d? False Suppose 6*l - l = s - 14, 0 = -2*s + 4*l + 16. Let r = 151 - 145. Is s less than r? True Let x be 510/(-100) - 1/(-10). Let n be (-5 - (x + 3))*2/64. Is 1 bigger than n? True Let q = 177/2 + -84. Which is smaller: q or -19? -19 Let f = -149 - -145. Which is smaller: f or -0.1? f Let h be (6*2/(-105))/(462/15). Which is smaller: 1 or h? h Let k = 1/140 + 121/2660. Suppose 0 = -54*s + 44*s + 10. Is s < k? False Let s(j) = 7*j + 52. Let i be s(-20). Let p = i - -87. Is 2/117 > p? True Suppose -25*z - 33*z = 58. Let c be (1 - 0)*(-4)/(-18). Are z and c equal? False Suppose -5*f = -4*a + 3 + 49, -3*f + 20 = 4*a. Let g be 685/(-20)*a/6. Let j = g + 46. Which is bigger: j or 0? j Suppose 29*u = -28*u + 1197. Suppose 0 = -2*k - g + 45, -65 = -3*k - 2*g + g. Is k less than u? True Let u = 32 - 17. Let f = u + -7. Suppose -5*z + 60 = 5*r, -3*r + 2*z = -z - 12. Is f at least as big as r? True Let u = -52 - -83. Suppose -5*x = -u + 1. Suppose 2*q = x*q. Are -1/9 and q equal? False Let g(l) be the second derivative of -l**4/12 - 2*l**3/3 + 5*l**2/2 - 10*l. Let f be g(-5). Is -2/13 greater than f? False Let r = 1.102 + -2.22. Let c = r + 0.018. Is 0.1 smaller than c? False Let q = 26 + -14. Let h be (3/(-6))/(1/q). Is -4 at most as big as h? False Let l = -51 + 52.08. Let g = -2.1 + 3.2. Let k = l - g. Which is smaller: -2/5 or k? -2/5 Suppose 5*w = 25, 3*q = -q - 4*w + 8. Let n be q/(-24) + 10/48. Let l = 12.8 - -1.2. Is l at most as big as n? False Let s(i) = i**3 - 17*i**2 - 18*i - 3. Let t be s(18). Let p be t - (4 - (6 + 2)). Which is smaller: p or 7/10? 7/10 Let d = -59 - -59. Let a be 2 + -2 + 3/(-42). Which is bigger: d or a? d Let q(i) = i**3 - 7*i**2 - 6*i + 80. Let g be q(5). Let d = -11/9 + 469/369. Which is greater: g or d? d Let x = -0.0163 - 15.9837. Which is smaller: 1 or x? x Suppose 81*v - 2*z = 76*v + 960, -5*v + 3*z = -960. Which is bigger: v or 194? 194 Let v = -127.1 - -127. Suppose o + 3 = 2*o - 5*z, 0 = 2*z. Let q be -8*((0 - 2) + o). Is v >= q? True Let h = -77 - -118. Let y = -85 - -87. Is h != y? True Let n = 83.05 + -82. Let j = n - 47.05. Is j not equal to 0? True Suppose 4*s = -s - 4*b - 13, -s + 5*b = -9. Let k = 2/55 - 113/1595. Is s <= k? True Let k be (-8)/12 + (-22)/3. Let v(t) = t**3 + 8*t**2 + 1. Let f be v(k). Suppose -f = 2*m + 1. Is m >= 0? False Let c(g) = g + 4. Let u be c(-7). Let y(v) = v**2 - 2. Let r be y(-3). Suppose -r*d - 13 = -6. Is u smaller than d? True Let d(j) = -8*j + 44. Let g be d(6). Let s = -81 - -41. Let r be 84/s + (-4)/10. Does r = g? False Suppose 4*l = -0*l - 296. Let v be (-4 - l)/(0 - -1). Let g = 218/3 - v. Which is smaller: g or 3? g Let h = -0.422 + -0.578. Are -0.276 and h nonequal? True Suppose -5 = -2*w + 3*m, w - 4*m = -5*m. Do w and -4 have different values? True Let v = 0 + 1. Let l = 1/1472 + -1527/80960. Which is bigger: v or l? v Let h = -37 - -41. Let q be (1308/(-330) + h)*(40 - 0). Do q and 1 have the same value? False Let a = -12601/1988 + 15/284. Let b = 125/21 + a. Is -7 <= b? True Let v = -45/2 + 161/6. Let w = v - 17/3. Which is smaller: -2 or w? -2 Let o = 1027 - 2045. Which is bigger: o or -1019? o Let v = -14/75 - -1/50. Suppose 3*x + 2*t - 6 = 0, x = -2*x - 5*t + 15. Do x and v have the same value? False Let g be (-385)/(-154)*2*15. Is g smaller than 75? False Suppose 0 = 63*m - 38*m - 100. Do 0 and m have the same value? False Suppose 4*l - 2*m = -34, -m + 0*m + 41 = -5*l. Let i be 2/l - (-14)/(-8). Let f be ((-9)/(-126))/(i/8). Which is smaller: f or 0? f Let h(i) = i**2 - 7*i + 7. Let d be 26/5 - 20/(-25). Let q be h(d). Which is smaller: 3/4 or q? 3/4 Suppose -52*y + 39*y + 13 = 0. Which is bigger: y or 2/415? y Let m(x) = -x**2 + 17*x - 40. Let g(l) = -2*l**2 + 26*l - 60. Let b(a) = -5*g(a) + 8*m(a). Let c be b(-5). Is c >= 66? False Let f = 27.8 + 40.2. Which is bigger: f or -1? f Let w = -94 + 10. Let o = -86 - w. Which is smaller: o or 5/4? o Let v(r) = r**2 + 4*r + 5. Let d be v(-4). Let w = d - -2. Suppose l - w = -3*y, y + 5*l - 34 = -13. Is y equal to 2? False Let f(l) = 32 - 8 - l**2 - 4*l + 15*l. Let z be f(10). Is z > 34? False Let n be (3 - (2 - 0))*-2. Let u be 190/30 - (-2)/(-6). Let x = u - 9. Which is bigger: x or n? n Let l = 4/423 + -1841/846. Which is bigger: 1 or l? 1 Let w be (1 + 0/(2 - 3))/(-1). Is -8/71 greater than w? True Suppose 2*l = 2 + 20. Suppose 0 = 6*k - l*k - 90. Is -18 smaller than k? False Let x = 39 - 36. Suppose -75 + 72 = x*p. Which is bigger: -2 or p? p Let g = -2.1 - 16.9. Let i = g + 19.2. Let k = -3.2 + i. Is k <= 6? True Let q = 368355/7 + -52525. Which is bigger: 1 or q? q Let s = -10.3 - -10.1. Which is bigger: s or 4? 4 Let t = -244 + 931. Is 688 at most as big as t? False Suppose 5*f - 383 = 3*d, -4*f + 2*d + 154 = -2*f. Is 74 bigger than f? False Let s = -670 - -1339/2. Let w = -7 + 7. Suppose f + 3*f = w. Which is bigger: s or f? f Suppose -n + 4*n - 12 = 0. Suppose 0 = -2*j + n*i - 26, -27 = 4*j - 3*i - 0*i. Which is smaller: -1/5 or j? j Let f be (-10)/(-30) - (-374)/(-6). Which is smaller: -61 or f? f Let r be 3*(-83)/(-3) - 0/1. Is r > 82? True Let k be -2 + (-2 + 8)/2. Let v be 1 + 0 - 47/(-8). Let m = v + -7. Which is bigger: m or k? k Let f be 322/246 - (-24)/(-18). Is f >= 1? False Let n be 150/1860*(26 + 0). Are n and 1 non-equal? True Let o(k) = -2*k**3 + 27*k**2 + 15*k - 7. Let i be o(14). Suppose -11*p = -15 - i. Which is greater: 14/9 or p? p Suppose -2*z
{ "pile_set_name": "DM Mathematics" }
rth smallest value in 3, -216, -14, -0.2, -0.4, 1? -0.2 What is the smallest value in 0, 137, -0.3, 4, -0.15? -0.3 What is the second smallest value in 1/4, 4, 387/32? 4 What is the third biggest value in 4, 1, 0.5, 4/7, 1/4? 4/7 Which is the biggest value? (a) 34 (b) -8 (c) 8 a What is the fourth biggest value in -0.2, -1, 103.2, 0.4, 2? -0.2 Which is the fourth biggest value? (a) 0.14 (b) 0.2 (c) -0.4 (d) -7 d What is the third smallest value in -5, -3582, 1.1, -1/2? -1/2 Which is the third smallest value? (a) -14 (b) -17/6 (c) -31 (d) 4 (e) 7 b Which is the third smallest value? (a) -0.27 (b) -0.5 (c) -2/5 (d) 2 (e) -11 c What is the biggest value in 1, -4/31, -3/2, 0.5, 0.4? 1 What is the third biggest value in -1, 0, -859219, -5? -5 Which is the second biggest value? (a) -3 (b) -113 (c) 0.64 (d) -2/11 d What is the second smallest value in 0.5, 30, -25, 4? 0.5 What is the second smallest value in 0.3, -0.01, -2.0791? -0.01 What is the smallest value in 0.1, -2/7, -0.2631, -0.5, 1? -0.5 Which is the second smallest value? (a) 0.21 (b) 1/7 (c) -0.0855 (d) 0.1 d Which is the second biggest value? (a) -1/7 (b) -558 (c) -3/2 c Which is the biggest value? (a) 143 (b) 5 (c) -5 (d) 0 (e) 2/97 a Which is the third biggest value? (a) 36 (b) -83 (c) -4/9 b Which is the fifth smallest value? (a) -1 (b) 5 (c) -1/18 (d) 1/3 (e) -0.12 b Which is the biggest value? (a) 9655 (b) 5 (c) 21 a What is the third biggest value in 6, -1, -0.2, -1/56, 10/11? -1/56 What is the third smallest value in -0.3, 7545, 2, -3? 2 What is the second smallest value in 1/4, 28/11, 0.3? 0.3 What is the fourth smallest value in -1/4, 572, 1/4, -34? 572 Which is the fourth smallest value? (a) 7092/5 (b) -18 (c) 0.2 (d) 0 a What is the third smallest value in -45, -2, -3, -9? -3 Which is the third biggest value? (a) -2/121 (b) 5 (c) 2.6 a Which is the second smallest value? (a) 0.04 (b) -4 (c) -0.11 (d) -0.4 (e) -0.1 d Which is the third biggest value? (a) -1 (b) 2/9 (c) 0 (d) -171 a What is the second biggest value in -1, -856/11, -0.2, -3, -1/21? -0.2 What is the smallest value in -3/31, -2/5, 0.03? -2/5 Which is the smallest value? (a) 1/180827 (b) 0.3 (c) -20 c What is the fourth biggest value in 2/11, 5, -0.23, -7110, 3? -0.23 Which is the third biggest value? (a) -0.32 (b) -0.5 (c) -1 (d) 2 (e) -41 b Which is the smallest value? (a) -3/7 (b) 12052 (c) 2 a Which is the fourth biggest value? (a) 4 (b) -4 (c) 75 (d) 0.057 b What is the smallest value in 177, -50, -2, -3, 0.4? -50 Which is the biggest value? (a) -48 (b) -0.1 (c) -47 b What is the third biggest value in -2, 1491, -4? -4 What is the fourth smallest value in -0.073, -3, -134, -0.3? -0.073 What is the biggest value in 0, 1, 4, 3, -3/11? 4 Which is the smallest value? (a) 1 (b) 2/51 (c) -3 c What is the fourth biggest value in -0.5, -2, 9/8, 0.432, -55? -2 Which is the third biggest value? (a) 70 (b) -3/4 (c) 167 b What is the fourth biggest value in 87, -820, 0, -1, -2? -2 Which is the third biggest value? (a) -3/10925 (b) -0.5 (c) 5 (d) 0.2 a What is the second biggest value in -0.06, 2/7, -1, -10/3, 6? 2/7 Which is the second smallest value? (a) -1933/5 (b) -0.4 (c) -5 (d) -2 (e) 6 c What is the third biggest value in -0.3, 0.2516, -5? -5 What is the biggest value in 4/39, 22, -1, 2/9? 22 Which is the fourth smallest value? (a) 0.5 (b) -256 (c) 782 (d) 1 c Which is the second smallest value? (a) 0.5 (b) 7 (c) -1 (d) -2/31 (e) 4 d What is the second biggest value in -2/11, -0.3, 3.5, 15, 0.02? 3.5 What is the second biggest value in 4, -2/3, 0.7421, -0.1, 2, 3? 3 What is the sixth biggest value in -1/6, 2/27, 2/11, -38, 30, -1? -38 Which is the second biggest value? (a) -4 (b) 1/3 (c) 6/2299 (d) -8 c Which is the third smallest value? (a) -122 (b) -10.9 (c) 17 c What is the second smallest value in -0.05, 3/523, -1/12? -0.05 What is the second biggest value in 4/25, 2/3, -2028? 4/25 What is the sixth biggest value in 7/32, 0.1, -4/35, -3, -0.1, 3? -3 What is the smallest value in 6, 5, -0.316? -0.316 Which is the third biggest value? (a) -911 (b) 0.5 (c) -3 (d) -1 c Which is the biggest value? (a) -5 (b) 513 (c) -0.248 b Which is the fifth biggest value? (a) -2/3 (b) -0.8 (c) 6 (d) 4 (e) 0.5 b Which is the biggest value? (a) -0.2 (b) -1242 (c) -7/8 a What is the biggest value in 0.5, 2838, -26? 2838 What is the smallest value in 10, 2569, -6? -6 Which is the third biggest value? (a) -3 (b) -479 (c) -14 b What is the smallest value in 6/3475, 1/3, 25? 6/3475 What is the sixth biggest value in -28/5, -2/5, -3, 0.7, 1/8, 4? -28/5 What is the fourth biggest value in -0.3, -2/3, -3, 50, 41? -2/3 What is the third smallest value in -17, -22465, -3/5? -3/5 Which is the second biggest value? (a) -4 (b) -5 (c) 0.06155 a Which is the biggest value? (a) -9457/2 (b) 5 (c) 1/3 (d) -0.4 b What is the third smallest value in -60, 5, -1.7? 5 What is the second smallest value in 1/8, 0.168, 43, 6? 0.168 Which is the fourth smallest value? (a) -0.8 (b) -0.5 (c) 48 (d) -3 (e) -0.114 e What is the third smallest value in -6, -18, -0.2, 1, -1, -0.4? -1 Which is the fifth biggest value? (a) -3/115 (b) 0.5 (c) 1 (d) -5 (e) -1 d What is the biggest value in 996, 1, -0.02? 996 What is the fourth smallest value in 3, -2/29, -0.4, 2, -5, 1? 1 What is the third smallest value in -5/3, -11/5, 1, -2/3, 10/43? -2/3 What is the fifth smallest value in -1, 2, 16, -2, -0.8? 16 What is the second smallest value in -13, 60.1, 0.5, 1/3, 4? 1/3 Which is the third smallest value? (a) 24 (b) 1.4 (c) -38 a What is the biggest value in -0.035, 0.06, -91, -2, -2/9, 1? 1 What is the second biggest value in 40, 66, -2/5? 40 What is the third biggest value in -5, -1, 4, -1/399, 1/5? -1/399 What is the third smallest value in 2/17, -1, -4, -2, 1762? -1 What is the second smallest value in -6, 1206, 2/5? 2/5 What is the third biggest value in 0, 70, 0.2, 1, -1/3? 0.2 What is the second biggest value in 1.2, 0, 98? 1.2 Which is the biggest value? (a) -1/3 (b) 220/9 (c) -0.5 (d) -4 b Which is the smallest value? (a) 6 (b) -2/1207 (c) 5 (d) -2 (e) 4 (f) -1 d What is the biggest value in -8.88, -3/7, 4/3, -5? 4/3 Which is the fourth smallest value? (a) 324.7 (b) 2/33 (c) -0.3 (d) 1 a Which is the third smallest value? (a) -10/39 (b) 0.2 (c) 0.03 (d) 2/11 d Which is the biggest value? (a) -1/4 (b) -4/3 (c) -2/9 (d) -322.5 c What is the second smallest value in -125/4, 9, 2? 2 Which is the second smallest value? (a) 0.3 (b) 7/4 (c) 2/201 (d) 2 (e) -0.2 c Which is the smallest value? (a) -48044/3 (b) 3/5 (c) -0.2 (d) 3 a What is the biggest value in 3, 5, 512, 2, -2, 2/9? 512 Which is the third smallest value? (a) 1/5 (b) 12 (c) 2/3 (d) 17 b Which is the fifth biggest value? (a) 0.3 (b) 4/3 (c) -19 (d) -0.06 (e) 4.2 c Which is the second smallest value? (a) -42/13 (b) -0.04 (c) -0.03 (d) 0.03 (e) -3 e What is the fourth biggest value in -2/5, -47, 21.8, -4, 0.1? -4 Which is the biggest value? (a) -2/3 (b) -0.032 (c) -0.2 (d) 932 d Which is the second smallest value? (a) 3 (b) 0.5 (c) -23 (d) -2/2589 d What is the fourth biggest value in -0.4, -14, 3/20, -27, 11? -14 Which is the second biggest value? (a) 0.1 (b) -0.2 (c) -0.1 (d) -1682 c Which is the second smallest value? (a) -1/2 (b) 0.9 (c) -2 (d) 2/25 (e) 6 a What is the second smallest value in 0.3, 2/5, -15, -7? -7 What is the third biggest value in -0.25, 2, -0.4, -56, 2/5? -0.25 Which is the biggest value? (a) -5 (b) -12 (c) 401 c What is the smallest value in -70, -3, 2/13? -70 Which is the biggest value? (a) 3 (b) 0.05 (c) 5 (d) 2 (e) 0.3573 c Which is the third smallest value? (a) 6 (b) -67 (c) -1 (d) -5/3 c Which is the second biggest value? (a) 4 (b) -2/5 (c) 14 a Which is the biggest value? (a) -4/7 (b) 96.3 (c) 27 b What is the second smallest value in 3531, 0.3, 0.1? 0.3 Which is the smallest value? (a) 4538 (b) -3 (c) 3 (d) 1 b What is the fourth smallest value in -17, -1589, -3, -0.5? -0.5 Which is the second smallest value? (a) -1/2 (b) -0.7 (c) 736 a Which is the
{ "pile_set_name": "DM Mathematics" }
at is the fifth smallest value in 6, 2/11, -0.4, 4, -60, -41, -24? 2/11 Which is the third smallest value? (a) 1/2 (b) -3 (c) 11 (d) -5 (e) 3 (f) 6/19 f What is the fourth smallest value in -2, 44, -0.1, -2/9, 1, 2/23, -4? -0.1 What is the smallest value in 0, -0.1, -188223? -188223 What is the fourth biggest value in -3/10, 2, -3, 3, -1.06, -0.4? -0.4 What is the fourth biggest value in -5, -1.1064, -14, 0.5? -14 Which is the smallest value? (a) -5 (b) -5/4 (c) 0.3 (d) 5390 (e) -2 (f) 2 (g) -4 a Which is the fifth biggest value? (a) 0 (b) -21 (c) -19/2 (d) -10 (e) -2 (f) 0.22 d What is the second biggest value in -0.3, 307078, -2? -0.3 Which is the fifth biggest value? (a) -63 (b) -3 (c) -0.01 (d) 0.1 (e) -1 (f) 0.3 b What is the third biggest value in 2829/2, 4615, -5? -5 Which is the sixth smallest value? (a) -8 (b) -5/6 (c) 2/3 (d) -9 (e) 1 (f) 10 (g) -8.5 e What is the biggest value in 4/9, -2, -89, 0.4, 1/71, -5? 4/9 What is the third smallest value in -1/4, -1/3, 4840.9? 4840.9 Which is the second smallest value? (a) 10/7 (b) 2 (c) -3 (d) -2 (e) 3133/11 d What is the third biggest value in 4, 0, 3665/3, -26? 0 What is the second smallest value in -2, 63, 2/13, 1, -3, 3, 43? -2 What is the second biggest value in 8510.57, -3, -1/4? -1/4 Which is the smallest value? (a) 0.4 (b) -44/7 (c) 2 (d) -0.07 (e) -4 (f) 314 (g) 1 b What is the smallest value in -510333, -8/7, -2/5? -510333 Which is the second smallest value? (a) -0.24 (b) -0.1 (c) 5.9 (d) -97 a Which is the fourth biggest value? (a) -1485 (b) 4920 (c) -1 (d) 1 a Which is the third smallest value? (a) -1/6 (b) 13 (c) -3 (d) -67.2 a Which is the third smallest value? (a) -3/5 (b) 3/2 (c) 14063 (d) 1/2 (e) -2 (f) -2/13 f Which is the fifth biggest value? (a) 1/5 (b) -1.9 (c) 1.7 (d) -50 (e) 2/7 (f) -6 f Which is the biggest value? (a) 7 (b) -2/9 (c) -0.0618932 (d) -5 a What is the third smallest value in 5497.8229, 1/6, 0? 5497.8229 Which is the fourth smallest value? (a) -0.06 (b) 0 (c) 1/4 (d) 110 (e) -84 c Which is the smallest value? (a) 1/5 (b) -1/4 (c) 5 (d) 33 (e) 0.04 (f) -2/15 (g) -7 g Which is the sixth biggest value? (a) -0.5 (b) 461 (c) -5 (d) 11 (e) 6/17 (f) 4 c Which is the biggest value? (a) -8/63 (b) -0.2 (c) 6 (d) -0.16 (e) 1 (f) -54 c Which is the fifth biggest value? (a) -10 (b) 0 (c) -6/19 (d) -16/5 (e) -2/13 (f) -0.19 d What is the third biggest value in -0.3, -1/932, -0.4, -41, 3, -0.5, -4? -0.3 Which is the smallest value? (a) -0.3 (b) 5 (c) 0.1 (d) 896 (e) -46 e Which is the third smallest value? (a) -0.1 (b) 196 (c) -0.04239 b What is the second biggest value in -11114, 47/2, -1.6? -1.6 What is the third smallest value in -2, 1.9, 3/2, 28, -1, 3/115? 3/115 Which is the fifth biggest value? (a) 0 (b) 2 (c) 5 (d) -2 (e) 10.0833 (f) -3 d Which is the sixth smallest value? (a) -1 (b) -9 (c) -5 (d) 1138 (e) 3 (f) -2.5 d Which is the biggest value? (a) 46/13 (b) 2/7 (c) 1474 (d) 0 c Which is the biggest value? (a) 19 (b) 489 (c) 154 (d) 2/7 b What is the fifth biggest value in 13, -0.4, 1.7, 2, 2647? -0.4 Which is the third smallest value? (a) 0.3 (b) -5 (c) -3/4 (d) 247 (e) -41 (f) -5/3 f What is the third biggest value in 2/9, -563340, -8? -563340 What is the fifth smallest value in 48, -0.2, 1/2, -6, -30609? 48 Which is the fifth biggest value? (a) 155 (b) 1/5 (c) -3 (d) -0.4 (e) -278 e Which is the fourth smallest value? (a) 5 (b) 3 (c) -0.883 (d) -0.16 a What is the fourth smallest value in -2, -1, -2/9, 4, -1287, 1/4, 1/11? -2/9 Which is the fifth biggest value? (a) -4 (b) 5/2743 (c) 1/6 (d) 4 (e) 2 (f) 0.34 b What is the third biggest value in -404, -3, -1, -11? -11 What is the third smallest value in 18, -18643.6, 3.3? 18 Which is the biggest value? (a) -0.4 (b) 563/6 (c) 593 (d) 1 (e) -0.08 c Which is the second biggest value? (a) 13 (b) -1/17 (c) -7910 b What is the smallest value in -2/921983, -5, 4.5? -5 Which is the third smallest value? (a) -0.495 (b) -1 (c) 4 (d) 582 (e) 2 e Which is the fourth smallest value? (a) -0.31 (b) 3 (c) 22718 (d) -3.3 c Which is the second smallest value? (a) 7 (b) -4/7 (c) 1.4 (d) 4 (e) -2/13 (f) 0.1547 e Which is the fourth smallest value? (a) -60 (b) -31 (c) 0.2 (d) -3/4 (e) 0.4 (f) -88/9 d What is the second smallest value in -2/11, -394/111, -4, 1/2, 4? -394/111 Which is the fifth smallest value? (a) -423 (b) 0.013 (c) 0 (d) 5 (e) -2/3 (f) -47 b Which is the biggest value? (a) 4358/3 (b) -2/389 (c) 4 (d) 3 a Which is the third biggest value? (a) -15199 (b) -0.95 (c) 1/29 (d) -1/9 b Which is the second biggest value? (a) -32 (b) 11/4 (c) 581 (d) 0.3 b What is the smallest value in 0, -2/11, -54, 121? -54 Which is the second biggest value? (a) -1427088.5 (b) -4/5 (c) -0.4 b Which is the second smallest value? (a) -5873 (b) 0.14 (c) -2/3 c What is the fourth biggest value in -51, 0.02, -0.3, -0.41, 0.4, -8, -0.25? -0.3 What is the smallest value in 3, 40473, -8/57, -3, -2, -4? -4 What is the second biggest value in -2/11, -0.5, 1/7, 0.1, 1639? 1/7 What is the smallest value in -2/3, 4, -2.2116024? -2.2116024 Which is the smallest value? (a) 0.026 (b) 0.0176 (c) -3.4 (d) -2 c Which is the fourth smallest value? (a) 2/9 (b) -0.03 (c) 1/367 (d) 2 (e) -19 a Which is the third biggest value? (a) -452 (b) 16 (c) -6 (d) -1/44 (e) -3/7 e Which is the second smallest value? (a) -60 (b) 2/17 (c) -514749 a Which is the third biggest value? (a) 91 (b) -221 (c) -2367 c What is the fourth biggest value in 0, 46, 1/838, -6? -6 Which is the second biggest value? (a) 7545 (b) -4 (c) 1.9 (d) -0.4 (e) -1/10 c Which is the second smallest value? (a) -1465 (b) -7 (c) 4 (d) 2 (e) -35/3 e What is the fifth biggest value in 0, 1, -68, -3, -232, 5, 4? -3 What is the sixth biggest value in -3, -3/2, 0.03, 0.216, 3/5, -1? -3 What is the third smallest value in -1/2, 2/11, -7, -0.3, -10, -0.38? -1/2 What is the fourth biggest value in 0, 0.1, 3.277, 5? 0 Which is the second smallest value? (a) -0.5 (b) -1 (c) 9/4 (d) -2/13 (e) -5 (f) 191 (g) 0.03 b What is the second smallest value in -3/133, 11, 0.5, -34, 10? -3/133 Which is the fourth smallest value? (a) 0 (b) -9860418 (c) 1 (d) 4 d Which is the third biggest value? (a) 5 (b) 6 (c) -0.1729844 c What is the third smallest value in -9/32, -1, 6090, 2/17, -3/5, -1/3? -1/3 What is the second biggest value in 328, -26, -4, 175? 175 What is the third biggest value in 231/2825, -3, -0.295? -3 Which is the fourth biggest value? (a) -942 (b) 0 (c) 0.1 (d) 2/11 (e) -1/3 e What is the second biggest value in 4934, 90/13, 1/3? 90/13 Which is the third biggest value? (a) 7.8 (b) 1 (c) -3/4 (d) -0.1 (e) -5 (f) -0.4 d What is the smallest value in -1/2, 0.03, 2.7, -0.02392? -1/2 Which is the biggest value? (a) -1 (b) 1 (c) 40676803/4 (d) 6/7 c Which is the second biggest value? (a) 0.1 (b) 1887/11 (c) -5 (d) -2667/5 (e) 1 e Which is the seventh smallest value? (a) -56.1 (b) 1/6 (c) -4 (d) -0.1 (e) -3 (f) 25 (g) 12 f Which is the second biggest value? (a) 1786 (b) -4 (c) -395.99 b Which is the third biggest value? (a) -3/4 (b) 876 (c) -2/3 (d) -19 a Which is the biggest value? (a) -991 (b) -0.22 (c) 0.007 (d) 0.5 d What is the smallest value in 2177/8, -4, 1/980, -0.5? -4 Which is the third smallest value? (a) -0.5 (b) 17.6 (c) -5 (d) 1/4 (e) -3 a What is the fourth biggest value in 0.1, 0, 5, -2/5, -4/7, -6, -25? -2/5 Which is the biggest value? (a) 266 (b) -3/5 (c) 2/23 (d) -3 (e) 8 a What is the fourth smallest value in -22, -0.03, 8, 0, 4/51? 4/51 What is the third smallest value in 26, 10, -917/5, 2/19, 0? 2/19 Which is the third biggest value? (a) -4 (b) 13 (c) -0.5 (d) 46 (e) -2/15 e What is the seventh biggest value in 17, -3, 0.29, 3, -0.5, 8/17, 4? -3 What is the second biggest value in -4, -651, -3/2176? -4 Which is the biggest value? (a) -1 (b) -3 (c) 72/483185 c What is the biggest value in 38229, -0.4, 0.7, 6/7? 38229 Which is the biggest value? (a) -102 (b) -12943 (c) 4 (d) -2/13 c Which is t
{ "pile_set_name": "DM Mathematics" }
-514. Calculate the remainder when t is divided by 21. 0 Let n = 6 + -1. Let m(j) = -11*j - 7. Let s(x) = 21*x + 14. Let w(d) = n*m(d) + 2*s(d). Calculate the remainder when 35 is divided by w(-2). 16 Let f(q) be the second derivative of q**3/6 + q**2 - 2*q. Let l be f(4). Suppose 3*d - l*d = -18. What is the remainder when 11 is divided by d? 5 Let v be 69/92 - (-79)/(-4). Let t = -4 - v. Calculate the remainder when 29 is divided by t. 14 Suppose -j + 163 = 5*p, 0 = -0*p - 3*p + 3*j + 105. What is the remainder when 69 is divided by p? 3 Let k = -388 - -444. What is the remainder when 161 is divided by k? 49 Calculate the remainder when 151 is divided by (-84)/(-462) + (-568)/(-22). 21 Suppose -20 = -5*i, 4*i - 210 = -8*b + 6*b. What is the remainder when b is divided by 9? 7 Let m = 1454 + -1448. Calculate the remainder when 58 is divided by m. 4 Calculate the remainder when (0 + -17 - -166) + 3 + 1 is divided by 13. 10 Suppose -10*u = -7*u - 390. Calculate the remainder when u is divided by 22. 20 What is the remainder when 53 is divided by -8 + -1 + -5 + 25? 9 Suppose 10*j - 7*j - 21 = 0. Calculate the remainder when 23 - (j - (0 - -3)) is divided by 9. 1 Let y(p) = p**2 - 3*p + 30. Calculate the remainder when y(7) is divided by 44. 14 Suppose 166*v - 1449 = 145*v. Let w(j) = -6*j - 3. What is the remainder when v is divided by w(-2)? 6 What is the remainder when ((-255)/(-35))/((-2)/(-98)) is divided by 11? 5 Suppose -100*t + 99*t - 3*x = -29, 2*t + 2*x = 38. Calculate the remainder when 81 is divided by t. 11 Suppose -3*d - 3*c = 0, -3*c - 14 = -5*d + 26. Suppose -a - 46 = -d*k, 4*k = -a + 29 + 6. What is the remainder when k is divided by 6? 3 Suppose p - 1 = 0, 5*n + p - 18 = -2*p. Suppose -3*u - 24 = -4*l, -l + 3*u - n + 9 = 0. What is the remainder when 20 is divided by l? 2 Suppose 112 = p - 28. What is the remainder when p is divided by 24? 20 Suppose j - 6 = 29. Let v = j - 27. Calculate the remainder when 29 is divided by v. 5 What is the remainder when 257 + (12 + -6)*2/4 is divided by 66? 62 Let r(s) = s**3 + 12*s**2 - 12*s - 5. Suppose 3*c + 62 = -5*x, 5*c - 5 = x + 13. Let o be r(x). What is the remainder when 87 is divided by (-4)/o - (-588)/27? 21 Let o(v) = 2*v**2 + 4*v + 2. Let l(p) = p**3 + 7*p**2 - 2*p**3 + 2 - 10 + 20*p. What is the remainder when o(-4) is divided by l(9)? 8 Suppose -5*v = -4*o + 2*o - 7, 0 = 3*o - v + 17. Suppose -2*k = 21*k - 1449. Calculate the remainder when k is divided by ((-26)/(-3))/((-4)/o). 11 Suppose 15*n = 242 + 343. Let h = 36 + -21. What is the remainder when n is divided by h? 9 Suppose 41 = 2*q - 3*v, 8*v = 3*q + 3*v - 60. Calculate the remainder when -2*966/(-20) - (-105)/(-175) is divided by q. 21 Let z = 62 + -53. Suppose -4 = -k + z. What is the remainder when 35 is divided by k? 9 Let o(a) = 3*a**2 - 8*a + 17. What is the remainder when 181 is divided by o(2)? 12 Suppose 60 = r + 2*q - 0, 5*q + 285 = 5*r. Let c = -409 + 371. Let x = c + r. What is the remainder when 98 is divided by x? 18 Let s(z) = z**2 + 8*z + 26. Calculate the remainder when 54 is divided by s(-7). 16 Let o = 120 + -77. Let g be 30 - (-1)/((-3)/6). Let k = o - g. Calculate the remainder when 42 is divided by k. 12 Let z(m) = m**2 + m. Let j be z(2). Suppose -5*v = -j*v - 19. Let y = v + 70. What is the remainder when y is divided by 13? 12 Suppose 15*k - 6 = 12*k. Suppose -5 = 3*f - k. Calculate the remainder when 14 is divided by f + 7 - -3 - 1. 6 What is the remainder when 5 + 4065/25 - (-24)/(-40) is divided by 28? 27 Let k(j) = -2*j**3 + 14*j**2 - 16*j - 2. Calculate the remainder when 89 is divided by k(5). 17 Let s be (-2 - 1)/((-3)/33). Let w = 104 - s. Suppose 11*c - 17*c = -144. What is the remainder when w is divided by c? 23 Let v = -126 - -176. Suppose -13*h = -8*h - v. What is the remainder when 106 is divided by h? 6 Let i(r) = 3*r - 2 + 20*r**2 + 7*r**2 - 4*r - 11*r**2. Calculate the remainder when 29 is divided by i(-1). 14 Let o be 226/8 - (-2)/(-8). Let q = o + -15. Suppose 2*j = 4*s - 136, 2*s - 4*s + 56 = -4*j. What is the remainder when s is divided by q? 10 Suppose 4*y - 1 - 7 = -3*h, -7 = -2*h - 3*y. Suppose 0*w + 8 = 2*w. Calculate the remainder when (-2)/(h/28 + 0) is divided by w. 2 What is the remainder when ((-3)/(-3))/((-8)/(-344)) is divided by 9? 7 Let b be (-60)/105*(-14)/(-4). Let d(y) = -8*y. What is the remainder when 43 is divided by d(b)? 11 Let b(f) = 6*f**2 - 4*f + 2. Let k be b(2). What is the remainder when 5 + 0 - (2 + 0) is divided by (1/2)/(9/k)? 0 Suppose 0 = 5*g + 41 + 39. Let q = 12 - g. What is the remainder when q is divided by 10? 8 Suppose -9*s = -91 - 26. Calculate the remainder when 26 is divided by s. 0 Let p be (-6)/5*(-6 - -1). Suppose v + 7 = 10. What is the remainder when p/15 - (-23)/5 is divided by v? 2 Let d(x) = -x**2 - 26*x + 12. Let f be ((-56)/(-2))/(-2) - (4 - 8). Calculate the remainder when d(f) is divided by 25. 22 Suppose 0 = -j - 0*j - 37. Let s = j + 26. What is the remainder when 33 is divided by (20 + s)*8/6? 9 Calculate the remainder when -1 - (-8 - 0/2) is divided by (-78)/78 - (-6 + 0/2). 2 What is the remainder when 50 is divided by 15/(360/(-256))*(-3)/4? 2 Let p = 202 - 109. What is the remainder when p is divided by ((-2)/4)/(1/(-48))? 21 Let f(s) = 3*s**3 + 13*s**2 - 20*s - 7. Let y(a) = 2*a**3 + 12*a**2 - 19*a - 6. Let r(h) = 3*f(h) - 4*y(h). Calculate the remainder when 30 is divided by r(7). 13 Suppose 0 = -0*o + 4*o - 32. Suppose -2*k = -5*i + 183, -39*i + 58 = -37*i + 3*k. Calculate the remainder when i is divided by o. 3 Calculate the remainder when 308 is divided by 78/((9/(-24))/((-2)/8)). 48 Suppose 0 = 5*b - 48 + 8. Let a(k) = 15*k**3 - k**2 + 1. Let s be a(-1). Let v = s - -37. Calculate the remainder when v is divided by b. 6 Let t be 438/8 + -1 - (-3)/12. Suppose 2*s + 51 = 5*a, 0 = -4*a - 5*s + t - 0. Calculate the remainder when 63 is divided by a. 8 Let c = -8 - -11. Let q(z) = 22 - z + 5*z - c*z. Calculate the remainder when q(-11) is divided by 4. 3 Let o(w) = -9*w - 22. Let u be o(-10). Suppose -8*g = -12*g - u. Let c = -1 - g. What is the remainder when 61 is divided by c? 13 Suppose -19 + 1 = -g. What is the remainder when g is divided by (-4)/26 + (-1452)/(-143)? 8 Suppose -210 = -123*y + 117*y. Calculate the remainder when 101 is divided by y. 31 Let i = 73 - 75. Calculate the remainder when (18 + -89)*i/2 is divided by 24. 23 Suppose 20*o - 17*o = 5*w + 198, 0 = o - w - 68. What is the remainder when o is divided by 41? 30 Let r(n) = n**3 + 10*n**2 - 4*n + 1. Let z(v) = v**3 + 9*v**2 - 4*v. Let l(h) = -3*r(h) + 4*z(h). What is the remainder when 39 is divided by l(-6)? 18 Suppose -2*a = -4*a + 4*y + 336, 4*a = y + 700. What is the remainder when a is divided by 36? 32 Let i(x) = -x - 17. Let v(c) = -1. Let n(o) = -i(o) + v(o). Suppose u - 85 = -0*u. What is the remainder when u is divided by n(6)? 19 Let b = 35 - 30. What is the remainder when 58 is divided by 174/15 + 2/b? 10 Let a(s) = -4*s + 130. What is the remainder when a(-30) is divided by 64? 58 Suppose -124 = -7*o - 26. Let z = 51 - 28. Suppose 0 = -s + 17 + z. Calculate the remainder when s is divided by o. 12 Let r(x) = -x + 4. Let b be r(-14). Suppose -21*f = -24*f + b. Calculate the remainder when 18 is divided by f. 0 Suppose 2*i = 1 + 7. Suppose 27 = 5*o + r - 43, 2*o = -r + 25. Calculate the remainder when o is divided by i. 3 Let d = -368 - -560. Calculate the remainder when d is divided by 26. 10 Suppose -4*h + 6*h = -100. Let s = h + 70. Suppose -15*k + 91 + 74 = 0. Calculate the remainder when s is divided by k. 9 Suppose 3*j - 5*j = -54. Let v = -8 + j. Let d = 45 - v. What is the remainder when d is divided by 14? 12 What is the remainder when 101 - 1 - 10/(-10) is divided by 29? 14 Let s be (-1)/(0 + 4/(-12)). Suppose 5*w - 2 = s*w. Let l(g) = 22*g**2 - 2*g + 1. What is the remainder when 40 is divided by l(w)? 19 Suppose -4*s + 3*w + 100 = 5*w, -8 = 2*w. Let k = s - 10. What is the remainder when 65 is divided by k? 14 Suppose 6*q + 3*f = 11*q - 2581, -3*q - 2*f = -1560. Calculate the remainder when q is divided by 52. 50 Let v(q) = -q + 6. Let y = 30 + -30. Calculate the remainder when 15 is divided by v(y). 3 Let b be 0*2/(-
{ "pile_set_name": "DM Mathematics" }
es? 7481402 How many millimeters are there in 49514.7um? 49.5147 How many nanograms are there in 1449.91 tonnes? 1449910000000000000 What is 26/5 of a tonne in kilograms? 5200 Convert 8494.051 milligrams to grams. 8.494051 How many litres are there in 7.6567 millilitres? 0.0076567 How many milligrams are there in three tenths of a gram? 300 How many kilograms are there in 417499.2ng? 0.0000004174992 How many years are there in 41.88605 centuries? 4188.605 How many centimeters are there in 2396.672km? 239667200 Convert 51759.97 days to microseconds. 4472061408000000 What is 216174.5nm in micrometers? 216.1745 What is 1/20 of a kilometer in centimeters? 5000 Convert 66.89167m to centimeters. 6689.167 What is 6/5 of a millimeter in micrometers? 1200 What is 3/50 of a litre in millilitres? 60 How many nanograms are there in 17/4 of a microgram? 4250 What is 45.278ml in litres? 0.045278 How many months are there in 19/4 of a year? 57 What is one twentieth of a centimeter in micrometers? 500 How many grams are there in one twentieth of a tonne? 50000 What is 5593.162ng in milligrams? 0.005593162 How many centuries are there in 589420.6 millennia? 5894206 How many millilitres are there in 31/5 of a litre? 6200 How many nanograms are there in 980.0705 kilograms? 980070500000000 What is twenty-seven quarters of a second in milliseconds? 6750 Convert 917.6613 weeks to nanoseconds. 555001554240000000 What is 64.7759 years in millennia? 0.0647759 How many months are there in 42.02138 years? 504.25656 What is seventy-seven thirds of a year in months? 308 How many micrometers are there in 11/4 of a millimeter? 2750 What is 6/5 of a meter in millimeters? 1200 How many litres are there in 1.09601 millilitres? 0.00109601 What is twenty-one fifths of a decade in months? 504 How many nanometers are there in 62.1033km? 62103300000000 Convert 29620.66 years to millennia. 29.62066 Convert 990421.6 years to centuries. 9904.216 How many milliseconds are there in 6/5 of a second? 1200 How many millimeters are there in 13/8 of a meter? 1625 What is 3/8 of a litre in millilitres? 375 How many millennia are there in 977.3095 years? 0.9773095 How many grams are there in 9.041126 milligrams? 0.009041126 Convert 0.565925 days to microseconds. 48895920000 How many centimeters are there in 73348.42m? 7334842 What is 21/2 of a kilogram in grams? 10500 What is 3/10 of a milligram in micrograms? 300 What is one tenth of a centimeter in millimeters? 1 Convert 7.039505 centimeters to kilometers. 0.00007039505 What is fourty-nine quarters of a century in months? 14700 What is 1/5 of a centimeter in millimeters? 2 What is 0.779135 milligrams in nanograms? 779135 What is twenty-one halves of a centimeter in millimeters? 105 What is 6.2756l in millilitres? 6275.6 How many millilitres are there in 28.02125 litres? 28021.25 What is 11/8 of a decade in months? 165 How many decades are there in 488424.3 months? 4070.2025 What is one fifteenth of a decade in months? 8 What is fourty-eight sevenths of a week in minutes? 69120 How many seconds are there in 6/25 of a day? 20736 How many minutes are there in 6/5 of a day? 1728 How many milliseconds are there in four thirds of a minute? 80000 How many hours are there in 3.6922572us? 0.000000001025627 How many micrograms are there in 0.8057175 grams? 805717.5 What is 11/8 of a decade in months? 165 What is 13/5 of a millimeter in micrometers? 2600 What is 18/5 of a century in decades? 36 How many millilitres are there in six fifths of a litre? 1200 How many meters are there in 65.69553nm? 0.00000006569553 How many centuries are there in 3562.653 millennia? 35626.53 Convert 94.70946 millilitres to litres. 0.09470946 What is fifteen quarters of a minute in seconds? 225 How many months are there in 3/5 of a century? 720 How many decades are there in 77/5 of a millennium? 1540 Convert 600828.3 millilitres to litres. 600.8283 How many years are there in seventeen quarters of a millennium? 4250 What is 5/4 of a litre in millilitres? 1250 How many millilitres are there in six fifths of a litre? 1200 How many micrograms are there in 0.5624335 kilograms? 562433500 What is 1/6 of a hour in seconds? 600 How many microseconds are there in 53696.2ns? 53.6962 How many minutes are there in thirteen fifths of a hour? 156 What is 0.7334049 nanograms in grams? 0.0000000007334049 What is 0.2688922mm in kilometers? 0.0000002688922 What is fourty-eight fifths of a litre in millilitres? 9600 What is three fifths of a micrometer in nanometers? 600 What is 1.831365l in millilitres? 1831.365 What is 19/4 of a gram in milligrams? 4750 What is 6/25 of a meter in centimeters? 24 What is 3/50 of a milligram in nanograms? 60000 What is 26/5 of a hour in minutes? 312 How many litres are there in 86.00394 millilitres? 0.08600394 How many minutes are there in 4.767312s? 0.0794552 What is 82812.25mg in nanograms? 82812250000 What is 5994.011 millilitres in litres? 5.994011 Convert 90976.5 decades to centuries. 9097.65 How many millilitres are there in 3/25 of a litre? 120 What is 6/5 of a meter in millimeters? 1200 How many millilitres are there in six fifths of a litre? 1200 How many centimeters are there in seven quarters of a meter? 175 What is 9/10 of a decade in years? 9 Convert 887576.2 micrometers to nanometers. 887576200 How many nanoseconds are there in 75/4 of a microsecond? 18750 How many grams are there in seven eighths of a kilogram? 875 How many months are there in 55/2 of a year? 330 What is 9/10 of a kilogram in grams? 900 How many decades are there in 96927.4 years? 9692.74 What is 19/4 of a millennium in months? 57000 How many decades are there in 1/5 of a century? 2 What is 21/2 of a litre in millilitres? 10500 What is six fifths of a litre in millilitres? 1200 What is 29/2 of a millimeter in micrometers? 14500 Convert 807723.6 hours to minutes. 48463416 How many millimeters are there in one fifth of a meter? 200 What is 925.4523 millennia in decades? 92545.23 Convert 0.6956458cm to nanometers. 6956458 How many seconds are there in 1/6 of a minute? 10 What is fifty-seven halves of a meter in millimeters? 28500 Convert 22.65694 minutes to milliseconds. 1359416.4 Convert 0.5487258ns to microseconds. 0.0005487258 What is 2/105 of a week in minutes? 192 How many micrometers are there in 5/4 of a millimeter? 1250 What is 795164.5 millilitres in litres? 795.1645 What is 1/10 of a kilogram in grams? 100 Convert 7349.561 decades to millennia. 73.49561 What is 43/2 of a hour in minutes? 1290 How many micrograms are there in 613.7604mg? 613760.4 What is 9.856677 litres in millilitres? 9856.677 What is thirteen quarters of a week in hours? 546 What is twenty-six fifths of a century in decades? 52 What is 5/4 of a milligram in micrograms? 1250 What is five quarters of a millennium in decades? 125 How many millennia are there in 2416.692 months? 0.201391 What is 817.4901 days in weeks? 116.7843 What is 0.8090987 kilometers in meters? 809.0987 How many months are there in eight thirds of a year? 32 Convert 909.6299 nanograms to tonnes. 0.0000000000009096299 What is 25/8 of a centimeter in micrometers? 31250 How many hours are there in 11/2 of a week? 924 How many milliseconds are there in 79398.81 nanoseconds? 0.07939881 How many centuries are there in seventy-one fifths of a millennium? 142 Convert 8.489068 millimeters to meters. 0.008489068 How many nanometers are there in 680.2051cm? 6802051000 What is 7/2 of a millennium in decades? 350 How many micrograms are there in twenty-one quarters of a milligram? 5250 What is 0.4811728ug in kilograms? 0.0000000004811728 What is 3/5 of a microsecond in nanoseconds? 600 What is 53624.12 nanograms in kilograms? 0.00000005362412 How many centuries are there in 0.6851194 millennia? 6.851194 What is 0.4726619 years in months? 5.6719428 What is 21/2 of a microgram in nanograms? 10500 What is two ninths of a hour in seconds? 800 What is three eighths of a litre in millilitres? 375 Convert 38.76835 millennia to centuries. 387.6835 How many millilitres are there in 3/50 of a litre? 60 What is 1/10 of a day in seconds? 8640 What is 7/2 of a year in months? 42 What is sixty-seven quarters of a kilometer in meters? 16750 What is 1/5 of
{ "pile_set_name": "DM Mathematics" }
rder. 13, 4, m Let m(r) = -1182*r**3 - 24*r - 13*r**2 + 594*r**3 - 26 + 587*r**3. Let c be m(-11). Sort c, -2, -5 in ascending order. -5, c, -2 Let p = 8904.09 + -8904. Put 2, -3, p, -8 in ascending order. -8, -3, p, 2 Let v = 1 - 0. Let d(s) be the first derivative of 33*s**4/4 - 2*s**3/3 + s**2/2 + 242. Let y be d(v). Sort -5, y, 1. -5, 1, y Let v = 16108 + -16112. Put 5, 447, v in increasing order. v, 5, 447 Let h = 393 - 391. Suppose 5*o = -0*o - 4*s - 94, h*s = 5*o + 118. Put 0, o, 5 in ascending order. o, 0, 5 Suppose 10 = -2*z - 3*x, 0 = -198*z + 202*z - 4*x + 60. Sort 78, -2, 5, z in decreasing order. 78, 5, -2, z Suppose 61*m + 4*g = 63*m, -4*g = 3*m. Put m, -41, -13 in descending order. m, -13, -41 Let f = -325 + 387. Let d = f - 497/8. Put 4, 15, 2, d in ascending order. d, 2, 4, 15 Suppose 11 = 3*p - 4. Let w be (-1 - (0 - 8/6))*0. Suppose -3*m + 5 = -5*a, 0 = -w*a - a - 3*m + 17. Put -4, p, a, -15 in decreasing order. p, a, -4, -15 Let j = 58 + -57.997. Let l = 0.297 + j. Sort l, -0.5, -0.4. -0.5, -0.4, l Let p = 45962 - 45960. Suppose 5*q + 11 = 3*g, -5*q + 5*g = -6 + 21. Sort -3, q, -2, p. -3, -2, q, p Suppose -w - 5*h + 173 = -4*w, -5*w = 2*h + 247. Let l be (-30)/9*(-48)/(-40). Sort 3, w, l, 4 in ascending order. w, l, 3, 4 Let v = 52699/8 + -6587. Sort -4, v, -72, 13. -72, -4, v, 13 Suppose 0 = -4*m - 0 - 4. Let p be (-3)/15*(-1 - 4) - 8. Let r = -238 + 235. Sort r, m, 0, p in descending order. 0, m, r, p Let j be -26 - -40 - 364/24 - 1/(-2). Let z be 1/(1/(-2)) + 2. Suppose 5*t - t + 12 = z. Sort 6, t, 1, j in decreasing order. 6, 1, j, t Let j = 49 - 50. Let x(d) = 2*d**2 - 2*d - 1. Let r be x(j). Let g = -2.13 + -0.87. Sort r, 9, g, -5 in ascending order. -5, g, r, 9 Let d = 123 - 128. Let o be 6/(-9) - 66/9. Put -4, d, -3, o in increasing order. o, d, -4, -3 Let z(u) = 2*u**2 - 4*u - 25. Let f be z(5). Let w be ((165/44)/f)/(18/20). Put -4, 6, w in ascending order. -4, w, 6 Let a be (-10)/35 + 186/14. Suppose -120*b + 118 = 166*b - 1026. Sort b, 1, 0.4, a in decreasing order. a, b, 1, 0.4 Let a = -0.9294 - -0.8294. Put a, 0.025, 0.3 in ascending order. a, 0.025, 0.3 Suppose 24*h - 22*h - 4*u = -10, -10 = -4*h + 3*u. Sort h, 5, -24, -1 in descending order. h, 5, -1, -24 Let h = -8123 - -8123.01. Sort -4, 1/5, h, 3. -4, h, 1/5, 3 Let n = 509 + -241. Let l = -268.1 + n. Put 0, 0.42, l in increasing order. l, 0, 0.42 Suppose 5*l - 14 = -9*l. Suppose 6*v = 5 + l. Put 5, -4, v, -5 in descending order. 5, v, -4, -5 Let v = 1/24 - -7/24. Let t be (((-3)/(-9))/((-27)/54))/((-20)/(-10)). Sort t, v, 5. t, v, 5 Let d = 1115 + -1116. Put 4, -3, -113, d in ascending order. -113, -3, d, 4 Let f(j) = 52*j + 257. Let u be f(-5). Put 1/5, -9, 2, 3, u in ascending order. -9, u, 1/5, 2, 3 Suppose -r + 4 = 2, 3*l + 21 = 3*r. Let v = 2 - 3. Suppose -1691*g = -2437 - 2636. Sort g, 0, l, v in descending order. g, 0, v, l Suppose 14 = v - 3*g - 2*g, -3*v + g + 14 = 0. Let p = 73788 + -73788. Put p, -5, v, -1 in ascending order. -5, -1, p, v Suppose 12 = -3*u + z, -4*u - 4*z + 5*z = 14. Sort -5, 3, -18, 36, u in decreasing order. 36, 3, u, -5, -18 Suppose -j + 1 = -2. Suppose 5*p + 26 = -2*l, -4*l + 2542 = 3*p + 2552. Sort 1, j, 4, l in decreasing order. 4, j, l, 1 Suppose 10*r - 16*r = 21*r + 81. Sort 4, 18, 0, -1, r in ascending order. r, -1, 0, 4, 18 Let b = 0 - -10. Suppose -2*p = -f - b, -3*f - p - 29 = 1. Let c = -1.12 + 0.82. Sort f, -5, c. f, -5, c Let k(c) = -c**3 - 45*c**2 - 201*c - 40. Let t be k(-40). Put t, 5, 16, -3 in descending order. 16, 5, t, -3 Suppose -4*g + 17 + 2 = j, -4*g - 3*j = -9. Suppose 55*i - 36 = 46*i. Sort i, -2, g. -2, i, g Let g = 876 - 859. Let f = -22.05 - -0.05. Let s = f + g. Sort s, -3/4, 5. s, -3/4, 5 Suppose 309 = m + 5*y, 5*m - 5*y + 10*y - 1445 = 0. Let x = 286 - m. Sort x, -1, -68 in ascending order. -68, -1, x Let t(u) = 8*u - 132. Let x be t(16). Let o be x/(-22) + (-1995)/627. Let y be -1 + (5 - 2) + 0. Sort y, o, 5, 0. o, 0, y, 5 Let w(j) = -7*j - 40. Let h = 118 - 124. Let s be w(h). Suppose -6 = 4*k + 2, 4*y + 5*k = -22. Put -29, y, s in descending order. s, y, -29 Let v = -184 - -262. Let p = v + -81. Let o(h) = -8*h - 29. Let j be o(p). Put -9, j, -2 in decreasing order. -2, j, -9 Let w = -0.7 - 0.3. Let l = 137.7 - 137.4. Let n(v) = -11*v + 64. Let b be n(6). Put l, 2/11, w, b in descending order. l, 2/11, w, b Let s = 0.39924 + -0.09924. Put -527, s, -3 in ascending order. -527, -3, s Let v = -50 - -50. Put -0.5, v, 29 in ascending order. -0.5, v, 29 Let j = 18698.09 + -18698. Put -3, 2/13, 5, -2/11, j in descending order. 5, 2/13, j, -2/11, -3 Let j = 85 + -84.7. Let l = 9 - -8. Let c = 12 - l. Sort -4, j, c in descending order. j, -4, c Let y = -262 + 260. Suppose -5*c + 5 = j, -5*j = 7*c - 5*c - 25. Put 4, c, y, -82 in decreasing order. 4, c, y, -82 Let s be (195/(-117))/((-10)/12 - 0). Put -191, s, 4 in descending order. 4, s, -191 Let u = -165 + 162.74. Let d = u + 2.96. Put 1/3, d, -9 in decreasing order. d, 1/3, -9 Let k = 9 + -7.06. Sort -0.3, k, 0.3 in descending order. k, 0.3, -0.3 Let a = -1397 - -1387. Sort -3, -8, -1, a in decreasing order. -1, -3, -8, a Let t = -12.28 + 14.28. Sort 28, 5, -4, t in descending order. 28, 5, t, -4 Let s = -2573.9 - -2574.3. Sort 0.03101, -0.4, s. -0.4, 0.03101, s Let t = -6560920/11 + 597037. Let y = t - 590. Put -3, y, 3, -5 in increasing order. -5, -3, y, 3 Let s = 24.67 + -24.37. Sort 0.24, 26, 5, s, 3/4. 0.24, s, 3/4, 5, 26 Let j = 141 + -159. Let f be ((-4)/3)/(5 + 48/j). Sort -1/2, 10, f in descending order. 10, -1/2, f Suppose -24*w - 25 - 2 - 21 = 0. Sort 2, -1, 8, -21, w in decreasing order. 8, 2, -1, w, -21 Suppose 2*o - 20 = -0*o - 3*s, -41 = -5*o - 3*s. Let l be (4 + -5)*(-2 + 3). Let u be l*(-1)/(-4)*-4. Put u, 4, o in increasing order. u, 4, o Let v = -353 - -378. Suppose v*g - 30*g = -5. Suppose 0*b = 4*b + 3*z - 20, -2*z + 14 = 3*b. Put -3, g, b in ascending order. -3, g, b Let d = -14929 - -14921. Put d, 3, -81 in ascending order. -81, d, 3 Let c = -11982 + 5643524/471. Let z = c + 467/942. Put z, -1, 5, -1/3 in decreasing order. 5, z, -1/3, -1 Suppose 4*f - 12 = -2*u, 0 = -f + 2*f + 2*u - 6. Suppose f = -40*k + 41*k. Put -2, k, 2/17 in descending order. k, 2/17, -2 Let c = -320.5 + 319.5. Let h = -5.01 - -0.01. Sort c, 5, h. h, c, 5 Let x be -1 + 1 + 2 + -24. Suppose -447 = -4*f - 423, -5*t - 34 = -4*f. Suppose -3*b = -4 + 16. Sort b, x, t in descending order. t, b, x Suppose -a + 558 = 4*x, 381*a + 566 = 4*x + 378*a. Put 2, x, -4 in increasing order. -4, 2, x Let m be (-540546)/(-1104) - (0 + -4) - 6/(-16). Sort m, 4, -1/7 in ascending order. -1/7, 4, m Let w be 20/16 + (-35)/(-20). Suppose 4*f - 5*q - 9 = 0, -3 = 5*f - 7*f + q. Sort w, -2, 8, f in increasing order. -2, f, w, 8 Suppose -4*d + 5 = -4*o - 7, -2 = -6*o + d. Sort o, 0, 31, 34. 0, o, 31, 34 Let m = 49912 + -49911.8. Let o = 4 + -4.2. Let a = -0.2 - o. Sort m, a, 2, -2/17 in increasing order. -2/17, a, m, 2 Let z = -28854 + 28950.955. Let r = -97 + z. Let t = r - 3.955. Sort -6, t, -0.3, -3 in ascending order. -6, t, -3, -0.3 Let j(u) = u - 2. Let y be j(2). Let v = -145 - -150. Let a be (3 - 5)*v/5. Sort -4, y, a in increasing order. -4, a, y Let a = -88.9 - -89. Let p be 1/(-8)*2/2. Let d be -2*((-105)/50)/(-7). Sort p, d, 0.3, a in descending order. 0.3, a, p, d Let q = 3900 - 4012. Put -3, -4, -1, q in descending order. -1, -3, -4, q Let i(k) = k + 3. Let d be i(-3). Suppose -16 = -5*z + w, -4*z + 3*z + 3*w - 8 = 0. Suppose d = -z*a - p - 3, a - 3*p - 1 = 5*a. Sort -2, -3, a. -3, -2, a Let c = 8 - 14. Let s = -1632581/4706 - -4510/13. Let b = s - 1107/2534. Put b, c, -1, -3/5 in increasing order. c, -1, -3/5, b Let v = -15389 + 692507/45. Put -2, -2/3, v in increasing order. -2, -2/3, v Suppose -6*w + 19 - 55 = 0. Let g = -6 + 8. Suppose 5*n - g*n = 12. Put 2, n, w in decreasing order. n, 2, w Let u(h) = 3*h**2 - 32*h - 15. Let r(y) = 2*y**3 - 6*y + 7. Let n be r(2). Let i be u(n). Let c be (-2)/5 - 23/(-20). Put i, c, -3, 3 in descending order. 3, c, -3, i Let p = 1985 + -1980. Put -1, 3, p, 264 in decreasing order. 264, p, 3, -1 Let o = 116781 + -116786. Let m(q) = q**3 - q**2 + 1. Let j be m(0). Put j, o, -1, 32 in increasing order. o, -1, j, 32 Let x = 15 - 8
{ "pile_set_name": "DM Mathematics" }
2)/v*(v**(3/25)/v)/v*(((v/((v*v/v**6)/v))/v)/v*v)**(2/37))**22 assuming v is positive. v**(38467/925) Simplify (t**9)**(-23)/(((t/((t**(-9)*t)/t))/t)/t**(-24)) assuming t is positive. t**(-240) Simplify (l**(-10/7)*l/(l**0*l)*(l*l/(l*l*l**(-3/4)*l*l))/l**15)**20 assuming l is positive. l**(-2475/7) Simplify ((l**6)**(6/11)*(l**4*l*l*l*l)**40)**23 assuming l is positive. l**(81788/11) Simplify (((f**(-3)*f*(f*f/(f*f*f**7*f*f))/f)/(f**(3/11)*f*f**5))**(-2/107))**(-16) assuming f is positive. f**(-6432/1177) Simplify (((w/w**(-4))/w**(-1)*(w**(-1/2)/w)**(-8))**(-1/4))**(-2/5) assuming w is positive. w**(9/5) Simplify ((h/h**(-1/6)*h**(-8)*h**(-12)*h**(-1/7))**(-20))**6 assuming h is positive. h**(15940/7) Simplify (((k/(k*k*k**(5/4))*k)/k**(2/5))/(k**(-1))**26)/((k*k*k**(-1/3)*k)/((k**(-2)*k)/k)*k**(-3)*k**(-5)) assuming k is positive. k**(1661/60) Simplify (p/(p**(-1)*p))/(p/p**33)*((((p*(p*p**(-6)/p)/p)/p)/p)/p)**45 assuming p is positive. p**(-372) Simplify (r/r**(-1))**(-2/9)/(r*r**(2/13)*r*r/((r**(1/7)/r)/r))*((r**(-2/7))**(-1/2))**(-2/45) assuming r is positive. r**(-22366/4095) Simplify (q*q**(-2/7)*q)**(-8)/(q**(-1))**22*(q*q/(q*(q/q**(-5))/q)*q**(-2))**22 assuming q is positive. q**(-866/7) Simplify (c**3*c*c**3)/(c**1/c)**13*(c**(-3)*c**(-1/6))/(((c**(-2/7)*c*c*c)/c*c)/c*c*c*((c/(c/c**(1/2)))/c)/c) assuming c is positive. c**(34/21) Simplify (((z/(z**5*z))/z)/(z*z**(-34))*(z**0)**20)**18 assuming z is positive. z**486 Simplify ((f**(-6/17)/f**(11/7))**(-5/8))**(-1/33) assuming f is positive. f**(-1145/31416) Simplify ((w**(1/4))**(-18/11)/(w*w**4/w*w*w*w/w**(1/3)))/((w*w*w/w**0)**(6/13)*(w*w**0*w*w*w)**11) assuming w is positive. w**(-45011/858) Simplify ((v**13/(v*((v**(-10)*v)/v)/v*v))/((((v*v*v**(2/23)*v)/v*v)/v)/(v*v**(15/7))))**(-2/63) assuming v is positive. v**(-7424/10143) Simplify ((f*f**(-7)*f*f/f**(-7))/(f*f**3*f**(-2/5)))/(f**(-9)/f**(2/3))**(-27) assuming f is positive. f**(-1308/5) Simplify (j**(-2/49)*(j**(-5)/j)/j)**(-29/2)/((j/(j*j**(6/13))*j**(-2/11)*j)/(j**(2/9)/j**(-3))) assuming j is positive. j**(13237859/126126) Simplify (p*p*p**(2/41))**(1/11)/(p**(-13)*p**(1/11)) assuming p is positive. p**(5906/451) Simplify (t**(-11)/t**(-5))**(2/5)/((((t*t*t**(-1))/t)/t*t)**(1/3)/((t/t**(-2/9))/t**(-1))) assuming t is positive. t**(-8/45) Simplify (y/((y*y**(7/8))/y))**(-2/9)/(y**(2/29))**(-23) assuming y is positive. y**(1627/1044) Simplify ((((g**(-4/9)*g)/g*g)/g)/g**(-5))/(g*g*g/g**4*g*g**(3/8))*(g**(8/3)/g**(-2/5))**(-8) assuming g is positive. g**(-7327/360) Simplify (r**2*r**(1/16)*r)/(r/(r/(r*r*(r**1/r)/r)))**(2/61)*(((r/(r**(1/5)*r))/r)**(-2/33))**28 assuming r is positive. r**(271947/53680) Simplify (w**(4/9)*w**0*w**6/w**7)/(((w/(w*w**(1/5)*w))/((w/w**0)/w))/(w**(2/7)/w*w)**(-7/6)) assuming w is positive. w**(14/45) Simplify ((b/b**(2/7))**(-7/11))**(2/161)/((b*b*b**(1/2)*b*b)**28*b**4/((b*b**(-4)*b*b*b)/b)) assuming b is positive. b**(-232011/1771) Simplify ((d**1)**44*(d**0/d)**25)/(d**3*d**1)**(-9/5) assuming d is positive. d**(131/5) Simplify (((v/(v**(7/2)*v))/(v*v*(((v**11/v)/v*v)/v)/v*v))/((((v/v**14)/v)/v)/v**(-7)))**(1/11) assuming v is positive. v**(-13/22) Simplify ((p/((p*p**(-9))/p))**27*(p*p/p**(-1/11))**(-3/10))**(2/5) assuming p is positive. p**(29631/275) Simplify (t**0)**(7/8)*(t**5*t)/t**(1/4)*(t*t**(-1/3))**(-34)/((t/(t/t**(-2/9)*t*t*t))/(t**(-1/4)*t)) assuming t is positive. t**(-233/18) Simplify ((((m*m**(-3/4))/m)/(m**(2/25)/m*m*m))/(m/(m*m**(-3/26)/m*m)*m**(-3)))**(-15/8) assuming m is positive. m**(-4113/2080) Simplify ((s**(-2)/(s*s**(-2))*s/s**1*s**(-2/23))**(-13))**(9/4) assuming s is positive. s**(2925/92) Simplify (l*l/((l/(l*l**2*l)*l)/l)*l*l*l**5)/((l*l**(-1)/l)/l)**(5/2)*l*l**(1/2)*l/(l/((l*((l/l**1)/l)/l)/l))*l*(l/l**(-2/7))**37 assuming l is positive. l**(911/14) Simplify (u*u**(2/5)*(u/u**5)/u*(u/(u*(u/(((u*u**(2/3))/u)/u))/u)*u)/(u**(1/2)/u*u))/(u**0*u*u/u**(-2/11)*u)**(-5/2) assuming u is positive. u**(746/165) Simplify ((t*t/t**(-2/13)*t*t*t/t**18)/(t*t*(t/(t*t*t/(t**9/t)))/t*t*t**20))**(-42) assuming t is positive. t**(22302/13) Simplify (((a*a**(-5))/a**(-2/3))/((a/(a**5/a))/a**5))/(((a*a**(-2/5))/a)**(-1/33))**(-2/97) assuming a is positive. a**(24898/5335) Simplify ((q**(-4)/q)/(q/(q/(q*q/q**6*q*q))*q)*q**(4/9)*q/(q**6/q))/((q/(q/q**(1/4)))**(2/71)*(q/(q/(q**(1/5)*q)))/(((q*q**3)/q)/q)) assuming q is positive. q**(-43213/6390) Simplify ((u**(-6)*u)/(u*u**(1/3)*u)*u*u**7*u/u**3)/(((u/(u**4*u))/(u*u**(3/4)))/(u/u**(-1/7)*((u**(-2)*u)/u)/u)) assuming u is positive. u**(215/84) Simplify (((o**0*o)/o)**(7/10)*(o/(o**(-3/4)/o))/(o*o**(-1/3)))/(((o*o**(-2/5)/o*o)/o)/(o*(o*o**6)/o*o)*o**5/((o**(-2)/o)/o)) assuming o is positive. o**(89/60) Simplify (((k*k**4*k)/k*k)/k**(-3))**(1/2)*k/(k/(k/(k/k**(-2/5))))*k*k/(k*k*k**(-7)/k*k)*k**(1/6)/k**5 assuming k is positive. k**(94/15) Simplify (((z/z**(-4)*z)/z**2)/((z*(z**(3/5)/z*z)/z*z)/(z**(1/3)/z*z)))**(4/31) assuming z is positive. z**(164/465) Simplify (v*v**(-1)*v**(-1/5)/v)**(-3/5)*((v**(-5)/v)/v*v**(5/4))**37 assuming v is positive. v**(-21203/100) Simplify (((q/(q*q**(-5/6)))/((q/(q**(14/3)*q*q))/q*q))/((q*q*q*q**(-15/2)*q)/(q*q*q**(4/3))))**(1/20) assuming q is positive. q**(2/3) Simplify ((f*f**0)/f**5*(f**(-2/3))**(-3/5))/((f*f/(f/f**1*f*f))**(5/2)/((f**(-2/7)/f)/f*f)**(3/10)) assuming f is positive. f**(-279/70) Simplify ((r*r**(-7/10)/r)/r)/r*r**(1/72)/r*r*r*(r/(r*r**38)*r)**(22/3) assuming r is positive. r**(-98287/360) Simplify ((d**(-18)/d)/(d*d**5)*(d*d/(d*d**(-4)))/(d*d/d**(-5/6)))**(-4/3) assuming d is positive. d**(274/9) Simplify (((((b*b**(9/2)/b)/b)/b*b)/(b*b/(b/(b/(b*b**(8/7)))*b*b)*b))/(b/b**(21/5)*b/((b*(b/b**(2/11))/b)/b)))**(10/3) assuming b is positive. b**(5129/231) Simplify (((x/x**1*x*x*(x**0*x)/x)**(3/7))**(-9/8))**41 assuming x is positive. x**(-1107/28) Simplify (p**(-2/7)/(p*p**(-7))*(p/((p/((p*p/(p*p/p**(-7)))/p))/p))/(p**(-5)*p))/((p*p/(p/((p**(1/6)*p)/p))*p*p)/p**1)**(32/7) assuming p is positive. p**(-151/21) Simplify ((((c/((c**1/c)/c))/(c*c**1))/(c*(c**(-2/5)*c)/c*c)**(-45))**6)**45 assuming c is positive. c**19440 Simplify (a**(-1/7)/a**4)**(-6/31)*(a/a**2*a*a**(4/9))**(24/11) assuming a is positive. a**(12686/7161) Simplify (g**(-35)*g**(2/123)*(g**(-46)/g)**(1/3))**28 assuming g is positive. g**(-174440/123) Simplify (x**(-4)/((x**(4/7)/x)/x*x))**(-1/5)*(x*x/x**(-1/8)*x/((x/(x/(x/x**(-8/7))))/x))/(x/(x**(-2/9)*x))**(-11/7) assuming x is positive. x**(1535/504) Simplify (((q**(2/11)*q*q**9/q)/((q*q**(-8/3)/q*q)/(q*q*q**0*q)))**(-8/9))**(2/35) assuming q is positive. q**(-7312/10395) Simplify ((((o/(o/(o**(2/13)*o*o)))**33)**8)**21)**(14/9) assuming o is positive. o**(241472/13) Simplify ((b/b**(-1/5))**(15/2))**(-2/99)*(b**(-2/5)*b*b)**(-16/5)/((b**6/b)/((b*b**(-2/17)/b)/b)) assuming b is positive. b**(-53386/4675) Simplify (w/(w**0/w*w)*w*w*w**(3/5)/w*w)**18*(w/w**0*w**(-2/17))/(w*w*w**(-5/4)*w*w**(-7)) assuming w is positive. w**(24117/340) Simplify ((b**(-2/5))**(-3/19)/(b**(-1/8))**(-1))**(1/3) assuming b is positive. b**(-47/2280) Simplify ((l/l**(2/5)*l**(3/5)/l)/(l**(2/7)/(l**(-1)*l)))/(l**3*l*l**(-3/4)*(l*l/(l**(-2/3)*l)*l*l)**41) assuming l is positive. l**(-64541/420) Simplify ((b/(b/(b*b**(-2)*b))*b/(b**(-3/5)*b))/((b/(b**(2/11)*b)*b)/(b*b*b**(-3/7)*b)))/(b*b**(3/2)*(b**(-3)*b*b)/b)**(-33) assuming b is positive. b**(14517/770) Simplify (((f**(1/3))**40*f**(-2/5)*f*f/(f**(-2/11)/f))**(-1/7))**(3/17) assuming f is positive. f**(-2659/6545) Simplify ((j**(-2/3)/j)/j**(-1/2)*(j/j**(-8))/(j/(j/j**(-5))*j))/(((j*j**(2/7)/j)/j)**(-32)/(j*j**(-1/3)/j*j*j)**(2/61)) assuming j is positive. j**(-28103/2562) Simplify ((l*l*(l*l**(1/14))/l)/l*l**8*(l*l*(l/(l/(l**8/l)*l))/l*l)/l**(2/3))/((l/l**(-3))/((l*(l*l**(1/15)*l)/l*l)/l*l))**(-19) assuming l is positive. l**(7169/210) Simplify (((s/(s/(s**(1/4)/s)))/s)/s**(-3)*s/s**15*s**(-15))**(-14) assuming s is positive. s**(777/2) Simplify (r/(r/(r/r**(1/11))*r)*(((r/(r/(r**34/r)))/r)/r)/r*((r*r**(2/123)*r)/r*r)**(18/11))**41 assuming r is positive. r**(14977/11) Simplify (x*x*x*x/x**(-1)*(x*(x/(x**(-1/2)/x)*x)/x*x)/x*x)**(2/53)*((x**0*x)**(-19))**(-47) assuming x is positive. x**(47348/53) Simplify (t**31*t*t*(t*t**3*t)/t*t*t/(t/(t*t**(3/7)))*t/(t*
{ "pile_set_name": "DM Mathematics" }
the greatest common divisor of u and l? 4 Suppose 134 = -2*o + 442. Let x = -273 - -287. Calculate the highest common factor of o and x. 14 Suppose 1059*a = 1032*a + 4725. Suppose -k + 16 + 19 = 0. Calculate the highest common divisor of k and a. 35 Let i = -7 - -12. Suppose -50 - 20 = -i*u. Calculate the greatest common divisor of 112 and u. 14 Suppose -10*d + 7*d + 33 = 0. Suppose -21 = -c - d. What is the highest common divisor of c and 4? 2 Let j be (-1)/3 + (-4)/(-3). Let a(q) = -2*q + 47. Let n be a(20). What is the highest common factor of n and j? 1 Let n = 47 - 42. Let u be n/((-1)/(-2) + (-11)/44). Let g(y) = -2*y. Let w be g(-4). Calculate the highest common divisor of u and w. 4 Let c be ((-290)/(-203))/(1/7). Calculate the highest common divisor of c and 100. 10 Suppose 0 = -3*n + 9*n - 24. Suppose 0 = n*j - 480 - 192. Suppose 3*s + 4*u - 73 = 39, -j = -5*s - 2*u. What is the greatest common factor of 80 and s? 16 Suppose -f - 2*f + 5*w - 1046 = 0, 2*f + 2*w + 708 = 0. Let h = -165 - f. Calculate the highest common divisor of 17 and h. 17 Suppose 5 = -u + 56. Let x = -23 + 40. Calculate the greatest common divisor of x and u. 17 Suppose 2*n = -0*n + 210. Suppose j - n = -2*j. Let d = 28 - -217. Calculate the greatest common factor of d and j. 35 Let r(l) = 12*l**2 - 12*l + 12. Let d be r(1). What is the greatest common divisor of 240 and d? 12 Suppose 43*d = 67*d - 3576. What is the highest common factor of 2831 and d? 149 Suppose -76 = -3*h - h. Let g be (-2)/(-3)*9 + -2. Suppose p - 15 = -w, 19 = 2*p + g*w - h. What is the highest common factor of 33 and p? 11 Suppose 3*z = 76 + 23. Let q be (1 - 0)/(5/130). Suppose o = b + 6*o - z, -b + 2*o = -q. What is the highest common divisor of 14 and b? 14 Let r(d) = -d**2 - 10*d - 34. Let w be r(12). Let k = w - -604. Calculate the highest common factor of 34 and k. 34 Suppose -4*x - 116 = -4*w + 12, -x - 1 = 0. Suppose -3*u = -0*u - 111. Let m = 242 + u. Calculate the highest common factor of m and w. 31 Suppose 94 = y - 5*q, y - 37 - 62 = 4*q. Calculate the greatest common divisor of y and 306. 17 Let g be -5 - 4/((-16)/28). Suppose 0 = 2*r + 5*a - 25 - 60, -2*r = g*a - 76. What is the greatest common divisor of r and 28? 7 Let t(w) = -11*w - 110. Let h be t(-13). Calculate the highest common divisor of h and 44. 11 Let f = -10 + 14. Suppose 0*d = -f*d + 20. Calculate the greatest common divisor of 15 and d. 5 Suppose -5*x + 3*l + 428 = 0, 4*x + l - 336 = 5*l. What is the highest common divisor of 22 and x? 22 Suppose -4*o = -o + 3. Let l be (-2)/o*18/9. Suppose d + l*d - 80 = 0. Calculate the greatest common divisor of 80 and d. 16 Let o = 27 - 21. Let f be 3/((-27)/(-51)) - 4/o. Let d be ((-2)/4)/((-2)/40). Calculate the highest common factor of d and f. 5 Suppose 1 - 13 = -2*k. Let j be 2/((-4)/13)*k. Let y be (j + 3)*9/(-12). What is the greatest common factor of y and 9? 9 Let p be 28/35*(-11 + 1). Let f(d) = -d - 5. Let g be f(p). Suppose -g*l = -168 - 12. Calculate the highest common factor of l and 30. 30 Let l(f) = 5*f**2 + 6*f - 18. Let a be l(2). What is the greatest common divisor of a and 42? 14 Suppose 10*j - 11*j + 20 = 0. Suppose -3*n = -h + 34, -j = -h - 3*n - n. What is the greatest common factor of 7 and h? 7 Suppose -9*z = -3*z + 108. Let b(v) = v**3 + 19*v**2 + 19*v + 38. Let n be b(z). Calculate the greatest common factor of 260 and n. 20 Let c = 108 - 48. Calculate the highest common factor of c and 36. 12 Let n be 2/((-4)/2)*-11. Let m = -353 - -452. Calculate the greatest common factor of n and m. 11 Suppose 7*l - l = 42. Let f(x) = 3*x**2 - 17*x + 8. Let q be f(l). Calculate the highest common divisor of q and 144. 36 Let m = 1 + 2. Suppose -m*x - x + 384 = 0. What is the greatest common divisor of 12 and x? 12 Let r(z) = -4*z**2 + 6*z**2 - 30 - 10*z + 14. Let b be r(8). Calculate the highest common divisor of 160 and b. 32 Let n(u) be the second derivative of -u**5/20 + 7*u**4/6 - 5*u**3/3 + 8*u**2 + 8*u. Let b be n(13). Calculate the greatest common divisor of 11 and b. 11 Suppose 3*f - 6*m + 11*m - 89 = 0, 0 = -3*f + 4*m + 80. Calculate the greatest common divisor of 52 and f. 4 Let z be 142/8 - (-2)/8. Let s be 98 + (-1 - -1) + z/(-9). Calculate the greatest common factor of s and 12. 12 Suppose 5*c = -5*l + 1465, 23*c + 4*l - 290 = 22*c. What is the greatest common divisor of 168 and c? 42 Let n(d) = 6*d + 73. Let w be n(-10). Calculate the highest common divisor of w and 377. 13 Suppose -2*y + 177 = 3*g, 0*y - 78 = -y + 2*g. Suppose 6*f + 8*f - 784 = 0. Calculate the highest common divisor of f and y. 28 Suppose -5*y = -2*x - 67, 29 = 4*y - 2*y - 3*x. Let c be (y/(78/160))/((-1)/(-3)). Calculate the greatest common divisor of 10 and c. 10 Let d be (1*(-36)/(-15))/(9/(-30)). Let y be 6*((-32)/(-18))/(d/(-60)). Calculate the highest common factor of y and 4. 4 Let u be (-5)/2*(-1 - -3). Let c be 7/7 - u*2. What is the greatest common divisor of 33 and c? 11 Suppose 5*y = o - 99 + 244, -5*y + 4*o + 160 = 0. Let x = 534 + -310. What is the highest common factor of y and x? 28 Suppose -177 = -5*i + 3*u, 5*i - u = 6*i - 29. What is the highest common factor of 528 and i? 33 Suppose -27 = v + 5*d, 3*d + 40 = -0*v - 4*v. Let f = v - -17. Calculate the greatest common divisor of 70 and f. 10 Suppose 24*j - 22*j - 230 = 0. Calculate the highest common factor of j and 5. 5 Suppose -3*r + 124 = 4*c, 5*r + c - 201 = -0*c. Suppose -32*x + 263 = -249. What is the greatest common factor of r and x? 8 Let h be (16/(-48))/(2/(-18)). Let u be ((-3)/9)/(h/(-135)). Calculate the highest common divisor of u and 75. 15 Suppose -13*x + 157 + 51 = 0. Let o = -136 + 144. What is the highest common factor of o and x? 8 Suppose -16*l + 4035 + 4397 = 0. What is the greatest common divisor of l and 62? 31 Let s(m) = m + 53. Let w(t) = -2*t - 54. Let l(u) = 3*s(u) + 2*w(u). Let i be l(13). What is the greatest common factor of i and 95? 19 Suppose h - 3*c = 2*c + 44, -h + 2*c = -56. Calculate the highest common factor of 80 and h. 16 Let g be (-4)/4*(-5 + 1). Suppose 0 = -0*x + 12*x - 432. Calculate the greatest common divisor of g and x. 4 Let p = -38 + 40. Suppose -2*r + p = -0*r. Calculate the greatest common factor of 10 and r. 1 Suppose -173 - 97 = -6*y. Suppose 4*d = -3*k + y, 3*k - 2*k = -4*d + 15. What is the greatest common divisor of k and 60? 15 Suppose d - 6*d = -35. Let m = 22 + -20. Let o(p) = 5*p**3 + 4*p**2 - 3*p - 1. Let b be o(m). Calculate the highest common factor of d and b. 7 Let h = -5 - -2. Let g(a) = -a**2 - 5*a - 1. Let p be g(h). Suppose -r + p*r - 192 = 0. Calculate the greatest common divisor of r and 16. 16 Let j = -176 + 302. What is the highest common factor of j and 36? 18 Let h = -364 - -368. What is the highest common divisor of 18 and h? 2 Suppose -420 = -9*t + 39. Calculate the greatest common factor of t and 34. 17 Let p = -1 + -139. Let g be 3/12 - p/16. Calculate the greatest common factor of g and 3. 3 Suppose -3*i = 3*g + 186, 20 = g + 5*i + 78. Let r(o) = -5*o + 15. Let b be r(-6). Let u be (-2)/(-7) - b/g. Calculate the highest common divisor of u and 11. 1 Let f(i) = i + 21. Let j be f(-20). Suppose -j + 45 = 4*b. What is the highest common divisor of 99 and b? 11 Let z be (-1)/(-2) + 324/8. Let k = 63 - z. Suppose 3*f + 2*q + 2*q = 50, k = f + 4*q. What is the greatest common divisor of 35 and f? 7 Let f(k) = k**2 + 3*k - 7. Let h(o) = -7*o**2 - o. Suppose 0 = 11*w - 16*w - 5. Let a be h(w). Let x be f(a). What is the highest common divisor of x and 77? 11 Let i be 1/(-2)*(-224)/1. Suppose 2*p = 5*x - 70, -5*x + 10*p - 6*p + 70 = 0. What is the highest common factor of x and i? 14 Let r be 7 - (-9 + (-151 - -6)). What is the greatest common factor of r and 28? 7 Let q = -1153 - -1293. What is the highest common divisor of 252 and q? 28 Let p be (-18)/6 + 5 + (2 - 2). Suppose 2*h - 38 = -p*f, -4*h - 8*f + 3*f + 81 = 0. What is the greatest common factor of 98 and h? 14 Suppose -4*n - 23 = -s, -s + n + 8 = -30. Let r be ((-2)/1)/((-2)/129). What is the highest common divisor of s and r? 43 Let s = 203 - 252. Suppose -89 = j - 0*j - 2*x, -4*x - 320 = 4*j. Let m = s - j. What is the greatest common divisor of m and 51? 17 Suppose 68*n =
{ "pile_set_name": "DM Mathematics" }
/4 of a micrometer? 11750 What is 19.337103 milliseconds in days? 0.0000002238090625 What is 1345283.1 microseconds in weeks? 0.00000222434375 How many millilitres are there in 21/5 of a litre? 4200 Convert 864.5523km to nanometers. 864552300000000 Convert 0.8872201l to millilitres. 887.2201 Convert 44007.78kg to milligrams. 44007780000 How many hours are there in 7/6 of a week? 196 How many months are there in 8308.168 decades? 996980.16 What is 1/5 of a century in months? 240 How many millilitres are there in one fifth of a litre? 200 What is 5/4 of a microgram in nanograms? 1250 What is 45/2 of a litre in millilitres? 22500 Convert 67.189 kilometers to millimeters. 67189000 How many milligrams are there in fifteen quarters of a gram? 3750 What is 69.46073 litres in millilitres? 69460.73 What is 964373.7l in millilitres? 964373700 What is thirty-one fifths of a kilogram in grams? 6200 What is 13/5 of a litre in millilitres? 2600 What is 551498.4us in milliseconds? 551.4984 How many litres are there in 7088.608ml? 7.088608 How many years are there in 9716.994 centuries? 971699.4 How many millimeters are there in one fifth of a centimeter? 2 How many millilitres are there in three eighths of a litre? 375 How many millilitres are there in 3/10 of a litre? 300 How many months are there in ten thirds of a century? 4000 What is 6/25 of a microgram in nanograms? 240 Convert 1674363.42us to days. 0.00001937920625 What is 68241.64m in centimeters? 6824164 What is twenty-seven fifths of a century in decades? 54 Convert 0.3365256nm to kilometers. 0.0000000000003365256 Convert 14.32719 nanometers to meters. 0.00000001432719 How many meters are there in seventy-nine halves of a kilometer? 39500 How many micrometers are there in seven quarters of a millimeter? 1750 What is one quarter of a second in milliseconds? 250 How many seconds are there in 3/50 of a week? 36288 What is 62071.16 millennia in decades? 6207116 Convert 4.429396 decades to millennia. 0.04429396 What is thirteen eighths of a litre in millilitres? 1625 What is 0.3527662 seconds in nanoseconds? 352766200 What is 43/2 of a decade in months? 2580 Convert 1155589.092 milliseconds to weeks. 0.00191069625 What is 11/4 of a millennium in years? 2750 How many millilitres are there in 1/10 of a litre? 100 How many milliseconds are there in 2/75 of a minute? 1600 How many millilitres are there in 2143.75 litres? 2143750 How many millennia are there in 5364.75 years? 5.36475 Convert 145.5188 decades to months. 17462.256 How many micrometers are there in 599329.4 centimeters? 5993294000 How many nanometers are there in eleven halves of a micrometer? 5500 What is one quarter of a millimeter in micrometers? 250 How many meters are there in 488.0836nm? 0.0000004880836 How many millilitres are there in 291118.3l? 291118300 How many seconds are there in 81/4 of a minute? 1215 What is 7/4 of a hour in minutes? 105 How many minutes are there in 28/9 of a week? 31360 What is one sixteenth of a kilogram in milligrams? 62500 How many nanometers are there in 3/50 of a millimeter? 60000 What is five quarters of a minute in seconds? 75 What is seventeen quarters of a meter in centimeters? 425 What is 13118.47 millennia in centuries? 131184.7 Convert 319.7057 millilitres to litres. 0.3197057 What is 0.2294574 months in decades? 0.001912145 Convert 773232.2kg to nanograms. 773232200000000000 What is ten ninths of a hour in seconds? 4000 What is 29/2 of a litre in millilitres? 14500 What is seven eighths of a tonne in kilograms? 875 What is twenty-seven quarters of a litre in millilitres? 6750 How many nanograms are there in twenty-seven halves of a microgram? 13500 How many micrometers are there in 1/100 of a meter? 10000 What is 3.861355 minutes in seconds? 231.6813 How many months are there in 2240.75 millennia? 26889000 Convert 983425.7 millennia to decades. 98342570 Convert 56242.42um to nanometers. 56242420 What is 548.1606 millilitres in litres? 0.5481606 Convert 0.6132904l to millilitres. 613.2904 How many centimeters are there in one fifth of a kilometer? 20000 What is 3/25 of a kilometer in centimeters? 12000 How many nanograms are there in 0.558039 micrograms? 558.039 How many microseconds are there in 616.0488 weeks? 372586314240000 Convert 502.9179 millimeters to nanometers. 502917900 What is 18/5 of a litre in millilitres? 3600 How many days are there in 13.3591329ns? 0.00000000000015461959375 What is 52609.06 minutes in milliseconds? 3156543600 How many years are there in 21/2 of a century? 1050 How many seconds are there in 2/27 of a day? 6400 How many nanograms are there in one sixteenth of a milligram? 62500 How many years are there in 3778.642 millennia? 3778642 What is 1/64 of a milligram in nanograms? 15625 What is 17/2 of a millennium in decades? 850 How many months are there in 764786.7 millennia? 9177440400 How many nanoseconds are there in 0.7734144 minutes? 46404864000 How many centuries are there in 95.17932 decades? 9.517932 Convert 26.19281 millilitres to litres. 0.02619281 What is 0.3760328km in centimeters? 37603.28 How many decades are there in 3460.885 centuries? 34608.85 Convert 330.804 litres to millilitres. 330804 Convert 0.8130729 micrograms to kilograms. 0.0000000008130729 Convert 23.30238 years to millennia. 0.02330238 How many centimeters are there in three fifths of a kilometer? 60000 What is 1944.489 centuries in years? 194448.9 How many millimeters are there in 486051.9 micrometers? 486.0519 How many months are there in 19/4 of a millennium? 57000 Convert 258452.5kg to micrograms. 258452500000000 What is 6889.933 millilitres in litres? 6.889933 How many meters are there in 6/25 of a kilometer? 240 What is 0.874571 millennia in decades? 87.4571 Convert 208.92411 months to centuries. 0.174103425 How many millilitres are there in 27/4 of a litre? 6750 What is twenty-nine halves of a tonne in kilograms? 14500 What is 46/5 of a hour in seconds? 33120 How many milliseconds are there in 4/15 of a minute? 16000 How many centuries are there in 548.2315 decades? 54.82315 What is 855791.1g in nanograms? 855791100000000 Convert 0.4746099 seconds to milliseconds. 474.6099 What is seven quarters of a litre in millilitres? 1750 Convert 2.0707356 months to decades. 0.01725613 What is 45.5253t in grams? 45525300 What is 9.915581 milliseconds in seconds? 0.009915581 What is 523.445t in nanograms? 523445000000000000 How many nanoseconds are there in 0.7405154 days? 63980530560000 How many litres are there in 646.7721 millilitres? 0.6467721 What is 6135.311 millilitres in litres? 6.135311 Convert 28982.112 months to centuries. 24.15176 How many millilitres are there in 2/125 of a litre? 16 How many nanoseconds are there in 204806.6 hours? 737303760000000000 Convert 502505.2 centuries to years. 50250520 What is 8288.229 weeks in nanoseconds? 5012720899200000000 How many nanograms are there in 21/5 of a microgram? 4200 How many tonnes are there in 9991.551ug? 0.000000009991551 Convert 48.27248ml to litres. 0.04827248 Convert 79956.31mg to tonnes. 0.00007995631 What is 5/4 of a millimeter in micrometers? 1250 How many centimeters are there in 26/5 of a meter? 520 What is 3/50 of a gram in micrograms? 60000 How many milligrams are there in 0.527697 tonnes? 527697000 How many millilitres are there in 5/4 of a litre? 1250 What is 3/8 of a kilogram in grams? 375 How many microseconds are there in 763278.7s? 763278700000 How many micrometers are there in 247633.2cm? 2476332000 How many micrometers are there in 7.614193 nanometers? 0.007614193 Convert 80136.81 years to centuries. 801.3681 How many hours are there in 502.77681us? 0.000000139660225 How many micrometers are there in 24722.22nm? 24.72222 Convert 86.66663 millilitres to litres. 0.08666663 How many centimeters are there in one twentieth of a kilometer? 5000 How many nanometers are there in 6/5 of a micrometer? 1200 How many micrograms are there in 7/2 of a milligram? 3500 What is 102154.92 months in centuries? 85.1291 Convert 350.7252um to kilometers. 0.0000003507252 What is 661.1509 litres in millilitres? 661150.9 What is seventeen halves of a litre in millilitres? 8500 What is 1/4 of a meter in centimeters? 25 How many micrometers are
{ "pile_set_name": "DM Mathematics" }
1397. Let b = -447 - i. What is the units digit of b? 1 Let d be (-55)/(-45) + 6/(-27). Suppose -2*w + 17 + d = 0. What is the units digit of w? 9 Suppose 3*o + 1 = 2*a, -4*o - o = 2*a - 25. Suppose -174 + 50 = -4*j + a*l, -16 = -4*l. What is the tens digit of j? 3 Let u(x) = -x**2 - 6*x + 9. Let c(j) = -6*j**2 - j. Let w be c(1). Let v be u(w). Suppose -3*t - 2*b + 357 = 2*t, b - 143 = -v*t. What is the tens digit of t? 7 Suppose -5*z - x + 2585 = -9004, -z = 4*x - 2314. What is the tens digit of z? 1 Let s = 10176 + -4426. What is the hundreds digit of s? 7 Let v(l) = 1 + 3 - l + 4. Let k be v(7). What is the tens digit of ((-3)/(-6))/(k/26)? 1 Let w = 472 - 360. What is the units digit of w? 2 Let y = 39 - 45. What is the units digit of (-2)/y + 356/3? 9 What is the units digit of (-10313)/(-3) - 1 - (-15)/45? 7 Suppose 41 = 5*k - 9. Let x be k/1*(-2 + 4). Suppose -x*d + 22 = -19*d. What is the tens digit of d? 2 Let k = 10 + -25. Let v be -10*(432/k)/4. Suppose -g = 2*g - v. What is the tens digit of g? 2 Let u(f) = -f - 4. Let d be u(-2). What is the units digit of (4 + -4)/d - -65? 5 Let d(m) = -16*m - 27. Let c(h) = -2*h - 1. Let w(j) = -6*c(j) + d(j). What is the units digit of w(-6)? 3 Let r = -1869 - -4520. What is the units digit of r? 1 Let y = 18 - 14. Let l be -2*-2*y/8. Suppose 0 = 2*x - l*c - 2, -2*x - 5*c + 12 = 3. What is the units digit of x? 2 Let u = 1746 - 1006. What is the hundreds digit of u? 7 Let j be ((-71)/3)/(17/(-51)). Let o = j - -188. What is the tens digit of o? 5 Let j(c) = -5 - c**2 - 2 + 15*c + 3. Let g be j(16). What is the tens digit of (-625)/g - (-6)/8? 3 Suppose 2*h + 0*h = 0. Suppose 0 = 3*x - 15, m - 25 = -x - 4*x. Suppose r - 14 + m = h. What is the tens digit of r? 1 Suppose -19*f = 4*i - 23*f - 3080, -2*i = 4*f - 1570. What is the tens digit of i? 7 What is the tens digit of (-6)/((-288)/2056) - (-2)/12? 4 Let g(z) = -6*z + 3*z**3 + 155 - z**2 - 58 + 5*z - 2*z**3. Let m be g(0). Suppose 5*d = -0*n - 2*n + m, 0 = 5*n - 5. What is the tens digit of d? 1 Let n be (1830/14)/1 + (-2)/(-7). Let q = n + -62. What is the tens digit of q? 6 Suppose 0*t + t = -3*q - 46, 0 = t + 1. Let r = -13 - q. Suppose -r*x + 3*x = 24. What is the units digit of x? 4 What is the units digit of 721116/486 + (-4)/(-18)? 4 Let u(j) = 2*j**2 + 5*j - 7. Let g be u(-6). Let w = g + 0. What is the units digit of 20/w*(1 + 6)? 4 Let d be -3*(-2)/(4 + -2). Let t = 39 - 34. Suppose d*v + 3 = 0, -t*b = -2*b + 2*v - 22. What is the units digit of b? 8 Let i(u) = -2*u**2 - 17*u + 9. Let z be i(-9). Suppose d - g - 3 = 21, -5*d - 4*g + 93 = z. What is the units digit of d? 1 Let r(k) = 2*k**2 - 5*k - 19. Let p be r(9). Let y = p - 52. What is the units digit of y? 6 Suppose -4*v - 7960 = -2*t, -2*v = 15 - 5. What is the hundreds digit of t? 9 Let m = -245 - -982. What is the tens digit of m? 3 What is the units digit of 1122/26 - (-14)/(-91)? 3 Suppose -14*o + 32480 = -70. What is the units digit of o? 5 Let d(f) = 5*f**2 - f + 1. What is the units digit of d(3)? 3 Suppose -m = -2*i + 7, -3*m - 5 = -8*m. Suppose -v - 14 = -5*j, 5*v - 9 = -i. Suppose -4*s = 4*d - 68, -9 = -j*d - s + 38. What is the tens digit of d? 1 Suppose -2*s + 5*k + 827 = -183, s + 2*k = 487. What is the units digit of s? 5 Let r = -381 + 476. What is the units digit of r? 5 Suppose 6*x - 13338 = 1458. What is the thousands digit of x? 2 Let x(h) = h**3 - 4*h**2 + 2*h + 3. Let i be x(5). Suppose 5*y + k - i = 0, 0*y - 3*y + k + 26 = 0. What is the units digit of y? 8 Suppose -2843 = -27*o + 3205. What is the units digit of o? 4 Let x = -30 + 30. Suppose -4*v - p = -x*p - 287, 3*p = -3. What is the tens digit of v? 7 Let m be -1 - (2 + -112 + 0). Let n = m + -63. Suppose 0 = b - n + 16. What is the tens digit of b? 3 What is the hundreds digit of (-33536)/(-80) - ((-18)/(-15) + -1)? 4 Suppose 4*g = 4*t - 50 + 14, 4*t - 15 = -3*g. Suppose 4*m + 10 = t*m. Suppose -1 = 3*u + 5*n, 0 = 2*u - n - 26 + m. What is the units digit of u? 8 Suppose -6*k + 363 = -4935. What is the tens digit of k? 8 Let p be (-3 - (-10)/3)*-3. Let k be ((-50)/30)/(p/3). Suppose -g - k*l + 57 = 20, 4*g - 194 = 3*l. What is the units digit of g? 7 Suppose -4*f - 1 + 13 = 0. Suppose -3 = f*u - 6*u, -3*l = 4*u - 472. What is the units digit of l? 6 Let w be 2/10 - (-534)/5. Let x(t) = 18*t + 3. Let p be x(-3). Let m = w + p. What is the units digit of m? 6 What is the hundreds digit of (10/25)/(1/645)? 2 Let f be (3 + -3)/3 - -4. Let l be ((-2)/(-3))/(f/(-30)). What is the units digit of 15/4*(3 - l)? 0 Let b = 32 + -92. Let k = b + 63. What is the units digit of k? 3 Let d(b) = -b**2 + b - 55. Let f be d(0). What is the units digit of f/(-2)*(-16 - -18)? 5 Let g = 25 - 17. Suppose -3*n - 2*s - 2 = 0, 5*s - g - 2 = 0. What is the tens digit of (-130)/(-6) - n/6? 2 Let n = -46 + 49. Suppose -27 = -5*j - d, 2*j - d - 24 = n*d. What is the units digit of j? 6 Suppose 15*t = 6*t + 36. Suppose 0 = -4*m - s + 655, -t*s + 57 = m - 88. What is the hundreds digit of m? 1 Suppose -2*x - h + 9 = 0, -2*x - 3*h = 3*x - 23. Suppose -x*p = -6*p. Suppose 4*n - 4 = a + 3*n, a - 2*n + 9 = p. What is the units digit of a? 1 Let b(k) = k - 1. Let x be b(5). Suppose -6 = 2*u + x*u. What is the units digit of 64/4 - (-2)/u? 4 Let r(s) = 3*s**2 + 4*s + 2. Let g be r(-2). Suppose t + 5*d = 14, t + 3*d + 2 = g*d. Suppose -4*n = -t*x + x - 71, -x = -n + 19. What is the tens digit of n? 1 Let l = -18 - -18. What is the units digit of (l - -1)*(-2 - -46)? 4 Suppose -8*r = 5*r - 13. What is the tens digit of 225 + (9 + -7)*r/(-2)? 2 What is the tens digit of (-15)/3*(-836 - -21)? 7 Let o(s) = -s**3 - 18. Let n(w) = -w + 15. Let d be n(15). Let f be o(d). What is the tens digit of 3/2*(-132)/f? 1 Let r = -629 + 913. Let s = 404 - r. What is the hundreds digit of s? 1 Let x(t) = -5 - 36*t - 28*t + 9*t. What is the tens digit of x(-2)? 0 Let c(i) = -i**3 - 6*i**2 - 10*i - 8. Let r be c(-4). Suppose 186 = 3*w - w. Suppose r = -7*o + 10*o - w. What is the units digit of o? 1 Let v(o) = o**2 - 14*o + 89. What is the hundreds digit of v(-15)? 5 Let s(d) = -54*d - 39. Let t be s(-5). Let v = t - 2. What is the tens digit of v? 2 Let y = 430 - -248. What is the units digit of y? 8 Let o be 60/4*2/(-6). What is the tens digit of 15/o - (-76 - 2)? 7 Let k(l) = -l**3 - 6*l**2 + 11*l + 10. Let x be k(-7). Let a = 46 + x. Let r = a + 8. What is the units digit of r? 6 Let i(j) = j**3 + 14*j**2 - j - 10. Let d be i(-14). Suppose 0*s - d*s = -68. What is the tens digit of s? 1 Let l = -26 + 30. Suppose 54 = l*c - 122. What is the units digit of c? 4 Let i(x) = -x - 5. Let y(t) = t**3 + 2*t**2 - 2*t + 1. Let a be y(-3). Let q be i(a). What is the tens digit of 16 + (q - -4*1)? 1 Suppose 0 = 3*z + 5*r - 423, 5*z = 3*r + 289 + 382. What is the tens digit of z? 3 Let z(a) = a**3 + 5*a**2 - 6*a + 3. Let i be z(-6). Suppose i*h = 10 + 5. What is the tens digit of (-4)/h + 2690/50? 5 What is the units digit of (-50813)/(-28) - (3 - (-13)/(-4))? 5 Suppose -5*x - 2*j = -4*j - 19, 4*j = x - 11. Suppose -4*v + u = -0*v - 39, x*u = -3*v + 48. What is the units digit of v? 1 Suppose 4*r - 88 = -4*w, r - 2*r - 5*w = -38. Suppose r*x - 23*x + 1100 = 0. What is the hundreds digit of x? 2 Suppose -3*o - 71 = -3*m + 184, -173 = -2*m + 5*o. Let a be 30/5*(-10)/(-12). Suppose -q = -2*l + 42, l - 5*q + m = a*l. What is the tens digit of l? 2 What is the units digit of (-12)/60 - 6682/(-10)? 8 Let g(a) = -a - 1. Let h(q) = q + 1. Let x(b) = -2*g(b) - h(b). Let s be x(1). Let z = 3 + s. What is the units digit of z? 5 Let s(i) = -38*i - 3. Suppose -2*r + 1 = 5. What is the units digit of s(r)? 3 Let y(h) = h**3 + 10*h**2 - 4*h - 9. Suppose 31 = 3*a - 35. Let i = 12 - a. What is the tens digit of y(i)? 3 Let b(d) = d - 8. Let g be b(10). Suppose f + x = g, -x - 4 + 2 = 3*f. Let z = 7 + f. What is the units digit of z? 5 Let n = -16 + 13. What is the tens digit of ((-54)/(-4))/(n*5/(-90))? 8 Let q(r) = -r**3 - 4*r**2 + 2*r + 5. Suppose -5*z = -3*z + 2*p - 22, 0 = -3*z - 2*p + 28. Suppose -z*o + 10 = -8*o. What is the units digit of q(o)? 0 Let n(g) = 11*g**3 - 9*g + 1. What is the hundreds digit of n(4)? 6 Let d = -42 - -16. Let i be 10/(-65) + 802/d. Let l = i
{ "pile_set_name": "DM Mathematics" }
0*z + 9054 = 0. Suppose -3*u - 238 = -2*u. Let c = u + z. Is c a prime number? False Let s(g) = -g**2 + 6*g + 9. Let o be s(7). Let u be o/2*(-5 + -11). Is (1 - 0)/(u/(-496)) composite? False Let q(s) = -83*s**3 - s**2 - 27*s - 107. Is q(-6) a composite number? True Let o(z) be the first derivative of 23/3*z**3 + 0*z**2 + 5 - z. Is o(-2) a composite number? True Let l(w) be the first derivative of 67*w**4/4 - w**3/3 + w**2/2 + 69. Suppose 0 = -5*r + 7 - 2. Is l(r) composite? False Let q be (-2)/(-3 - -1)*2. Suppose -5*d - 3*r = 253, 2*d - 5*r - q + 128 = 0. Let h = -31 - d. Is h composite? True Let l(g) = 7*g - 39. Let n be l(6). Suppose -4*h + 1148 + 1740 = 5*o, -h - n*o + 715 = 0. Is h a prime number? True Let d(m) = 2*m**2 + 6*m + 3. Suppose 0 = 10*j - 6*j - 60. Is d(j) a prime number? False Suppose -22*q = 7214 - 34560. Is q a prime number? False Let f(k) = k**2 + 6*k + 6. Let o be f(-11). Let n = o - -147. Let z = n + -121. Is z composite? True Suppose -40994 - 234496 = -18*t. Is t a composite number? True Suppose -8*x - 4*u = -11*x + 32, -16 = x + 4*u. Suppose -2*y + 1325 = 3*a, 451 = a - 0*a - x*y. Is a a prime number? True Let o(l) = -138*l + 22. Let z be o(-10). Suppose -28*s + 30*s - z = 0. Is s composite? False Suppose 30 = 15*x - 75. Let a(t) = 35*t + 6. Let o(n) = 35*n + 6. Let w(j) = 4*a(j) - 3*o(j). Is w(x) a composite number? False Let k = 14407 + -9894. Is k a prime number? True Let r be 4/(-6)*1 + 4066/(-57). Let l = 46 - r. Is l composite? True Suppose -45 = -4*h - 3*w, -4*w = 5*h + w - 55. Let y(q) = 36*q - 9. Let z be y(h). Let a = z - 274. Is a prime? True Let h(j) = -480*j - 1. Let s(c) = -480*c - 1. Let o(p) = 3*h(p) - 2*s(p). Is o(-1) prime? True Let c(a) = 17*a**2 + 5*a - 7. Let n be c(6). Suppose s - 508 = d - 5*d, -2*s - n = -5*d. Is d prime? True Is (-667954)/(-28) - 1/(-2)*-5 a composite number? True Suppose 3*o + 0*o + 4*q - 797 = 0, 3*q = -3. Let x(z) = z**3 + 10*z**2 - 11*z + 12. Let v be x(-12). Let y = v + o. Is y a composite number? True Let g be (7/2)/(3/(-12)). Let i be (g - 1)*1/(-1). Is (-2)/i + 29622/90 a composite number? True Suppose 6*q = 20037 - 8001. Let z = -967 + q. Is z a composite number? False Let c = -88 - -168. Suppose -8*v = 252 - 1044. Suppose f = -2*k + c + v, f - 4*k = 179. Is f prime? True Suppose 0 = -3*b + 2*k + 11, 3*b = -2*k + 6 + 1. Let r be 6/(-15) - b/5. Is (-1274)/(-14) + (r - 1) a composite number? False Let h = 78270 - 53417. Is h prime? False Let n = 22375 + 7608. Is n prime? True Is ((-11)/(-22))/((-1)/(1 - 6447)) a prime number? False Let u = -61 - -34. Let m = 144 - 218. Let v = u - m. Is v a composite number? False Let w = 9119 - -1374. Is w prime? False Let s(p) = 77*p - 90. Is s(4) a prime number? False Suppose 0*x + 2*x - 960 = 4*t, 0 = -3*x - 3*t + 1395. Let d = x - 73. Is d prime? True Is -3 + 12 + 19 + 29889 composite? False Let f(v) = v**3 + 88*v**2 + 53*v - 141. Is f(-58) prime? False Let z(w) = w**3 + 34*w**2 + 122*w + 12. Is z(-19) prime? True Suppose 151 = 29*g - 28*g. Let p = g + -69. Is p a composite number? True Let b(d) = -d**2 + 9*d + 32. Let y be b(12). Is 1*2*(-402)/y a prime number? False Let o(l) = 9*l**2 + 5*l + 13. Let c(p) = 10*p**2 + 5*p + 13. Let d(u) = -4*c(u) + 5*o(u). Is d(-7) a prime number? True Let a(f) = 21*f**3 + 9*f**2 - 3. Let d be a(-8). Let h = d - -14951. Is (-3)/(-18) - h/(-24) a prime number? True Let x be -2 + (1 - (11 - 4)). Let z be (x/(-6))/((-9)/(-27)). Suppose -99 - 49 = -z*j. Is j a composite number? False Let o(r) = 112*r**2 + 12*r + 1. Is o(9) a composite number? False Let r = -312 + 478. Suppose 0 = -3*n + r + 71. Is n a composite number? False Is 6*13017 + (-77)/(-33)*-3 composite? True Let l = -244 + 426. Let i(g) = -2*g**2 + 2*g - 2. Let y be i(2). Is 1 + l - (y + 4) prime? False Is (-5)/2*(-598830)/25 a composite number? True Suppose -994 = -2*u + 2980. Is u prime? True Let o(v) = -v**3 - 4*v**2 + 25*v + 3. Is o(-13) a prime number? False Let x be (34/8)/((-6)/24). Let m = x + 20. Suppose 0 = 3*o + 3*g - 42, -9 = -m*o - g + 27. Is o a composite number? False Suppose -s - 6 = -9. Suppose 2*q + 5*o + 187 = 5*q, s*q - 203 = o. Is q a composite number? True Suppose -3*t + 23 = 5*x, 0 = -t - 2*x + 1 + 5. Suppose 0 = -2*l - 3*p - 8, -p - t = 3*p. Suppose -5*i + 4*q + 615 = 2*q, -i - l*q = -123. Is i a prime number? False Suppose -248*m = -242*m - 19626. Is m a prime number? True Let d(s) = -s**2 - 5*s + 7. Let o be d(-6). Suppose -4*n - 9 = -o. Is 250 - (1 + n)*4 a prime number? False Suppose 0 = -2*o - 6, 5*o = i - 209 + 42. Suppose a + i = 3*a. Let p = 155 - a. Is p composite? False Let c(h) = -121*h**3 - 3*h**2 - 7*h - 20. Is c(-3) prime? False Suppose 4*t + r - 16 = 0, 0*r - 3*r + 6 = -2*t. Suppose t*d + 2 - 5 = 0. Let k(a) = 53*a. Is k(d) composite? False Let l(u) = 3300*u - 379. Is l(11) composite? True Suppose -d - 103 = -l, -3*l - 2*l = -d - 519. Let h(c) = -48*c**2 - 1. Let a be h(1). Let t = a + l. Is t a composite number? True Let h(w) = 362*w - 9. Suppose -a = 3*c - 2 - 2, 5*a = -5*c + 20. Is h(a) composite? False Suppose -u = -5*y - 20, -3*u + y + 3 = -1. Suppose -3*m + 620 = -4*s - u*m, -4*m = -5*s - 775. Let t = -28 - s. Is t a prime number? True Let f be 4 + 0 - (-1 - (0 - 1)). Suppose -706 = -f*t + 114. Is t a prime number? False Suppose 85 = 2*j + 509. Let f(t) = 2*t + 5. Let m be f(-4). Is j*4/(-11 - m) a prime number? False Suppose -1190878 = -13*u + 1165021. Is u prime? False Let r be 338/(-2) - (2 - (-1 + 5)). Suppose 1845 = -4*n - 411. Let x = r - n. Is x prime? True Let f = -18 + 21. Let b be 0 - 0 - f - -1452. Suppose -5*q - 4*n + b = 0, 3*n + 552 = 3*q - 339. Is q composite? False Suppose 81557 = 12*b - 164047. Is b prime? False Let j = -36430 + 52259. Is j composite? True Let v(z) = -z**3 - 13*z**2 - 8*z + 73. Is v(-14) prime? False Let o(g) = g**2 - 17*g + 95. Is o(52) a prime number? False Suppose -663*t = -657*t - 3156. Is t prime? False Let p(q) = -4*q**3 - 5*q**2 - 44*q - 39. Is p(-14) a prime number? False Is (-19507)/(-6) - (-20)/(-120) a prime number? True Let x(c) = -144*c - 2. Let l be x(-1). Suppose a - l = 531. Is a composite? False Let s = 10 - 9. Let q be s - ((1 - 3) + -151). Suppose 10*c = 8*c + q. Is c a composite number? True Let d(a) = -143*a. Suppose -4*n - 8 = 8. Let z be d(n). Suppose 2*u + z = 6*u. Is u composite? True Let x(j) = -12*j**2 - 3*j**2 - 142*j + 1 + 148*j. Let g be x(5). Let z = g + 631. Is z a prime number? False Let i = 7617 + 2024. Is i prime? False Let z(u) = 5*u + 90 - 2*u**2 + u**2 + 68 - 4*u. Is z(0) prime? False Suppose 14*f = 20*f - 24. Is (1*-1)/(f*2/(-264)) composite? True Is ((-12)/(-10))/((-24)/80) + 881 prime? True Is 8/20 - (378858/(-30) + 6) composite? True Suppose -m + 2*m - 4*y - 33382 = 0, 3*m = 2*y + 100116. Let s = -22565 + m. Is s prime? False Let k = 1603 + -298. Suppose -5*m + k = 415. Is m composite? True Suppose 6*v - 23 = 43. Suppose -1 + v = 5*d, 5*s + 2*d = 819. Is s a composite number? False Suppose -3*x + 52 = -2*q, 5*x - x - 72 = 4*q. Suppose 0 = -2*n + 3*n - x. Suppose 73 = 3*k + n. Is k composite? False Let c(a) = -a**3 + 17*a**2 - 32*a + 1. Let f be c(15). Let s = 644 - f. Is s prime? True Suppose 22*i - 19*i - 171018 = 5*f, 0 = -5*i + 4*f + 285043. Is i a prime number? False Let t(g) = 4*g**2 + 5*g - 2. Let c be (-3 - 0)*2/(-2). Is t(c) a composite number? True Let i(o) = 28*o - 2. Let v be i(1). Let a = 27 - v. Is ((a - -3) + -63)*-2 a prime number? False Let z = 3139 - 2108. Is z prime? True Let q(t) = 31*t**2 - 13*t - 21. Is q(-10) composite? False Let m = -88600 - -169685. Is m prime? False Let o be -1 - (-7)/9 - 116/(-36). Suppose o*p - 1142 = 889. Is p prime? True Let z = 233 + -572. Is (z/(-9) - -1) + (-1)/(-3) prime? False Let w = -3165 + 4708. Is w a prime number? True Let w be (20/6)/(2 - (-21)/(-9)). Let a(n) = 5*n**2 - n + 32. Is a(w) composite? True Suppose 2*w - 1 = w, 2*q - 5*w - 637 = 0. Suppose -187 = -4*j + q. Is j a prime number? True Let m = 619 + 645. Suppose -4*z = -2*n + m + 206, -z = n - 747. Is n a composite number? False Suppose 55 = 2*z + 9*z. Suppose 4*m - 6291 = z*w + 9140, -4*w + 4 = 0. Is m a composite number? True Is (66/18 - 3)*15063/2 a composite number? False Suppose 0 = -2*z + 3*z - 2*q -
{ "pile_set_name": "DM Mathematics" }
63*j - 4018 What is the u'th term of -20293, -20292, -20291, -20290, -20289? u - 20294 What is the k'th term of -100603, -100599, -100593, -100585, -100575, -100563, -100549? k**2 + k - 100605 What is the l'th term of 1239335, 1239342, 1239349, 1239356, 1239363? 7*l + 1239328 What is the j'th term of -49487, -49486, -49485, -49484, -49483, -49482? j - 49488 What is the j'th term of 140, 264, 370, 452, 504, 520? -j**3 - 3*j**2 + 140*j + 4 What is the n'th term of 233, 2134, 5691, 10898, 17749, 26238, 36359? -n**3 + 834*n**2 - 594*n - 6 What is the r'th term of -5303, -10599, -15891, -21179? 2*r**2 - 5302*r - 3 What is the h'th term of -3815, -7659, -11505, -15353? -h**2 - 3841*h + 27 What is the r'th term of -67, -238, -559, -1060, -1771? -5*r**3 - 45*r**2 - r - 16 What is the o'th term of -49, -122, -169, -178, -137, -34? 2*o**3 + o**2 - 90*o + 38 What is the o'th term of 3850, 3844, 3838? -6*o + 3856 What is the f'th term of 589, 2293, 5133, 9115, 14245, 20529? f**3 + 562*f**2 + 11*f + 15 What is the d'th term of 10381, 10372, 10359, 10342, 10321? -2*d**2 - 3*d + 10386 What is the t'th term of 1227, 1180, 1131, 1080, 1027, 972? -t**2 - 44*t + 1272 What is the r'th term of 3049, 6023, 8997, 11971? 2974*r + 75 What is the h'th term of -3295, -13343, -30165, -53767, -84155? -h**3 - 3381*h**2 + 102*h - 15 What is the s'th term of -478, -990, -1502, -2014? -512*s + 34 What is the s'th term of -969, -7896, -26707, -63342, -123741, -213844, -339591? -990*s**3 - 2*s**2 + 9*s + 14 What is the z'th term of 49, 198, 431, 736, 1101, 1514? -2*z**3 + 54*z**2 + z - 4 What is the i'th term of -101, -277, -453, -629, -805? -176*i + 75 What is the m'th term of 8, 68, 192, 398, 704, 1128, 1688, 2402? 3*m**3 + 14*m**2 - 3*m - 6 What is the a'th term of -617, -2507, -5663, -10091, -15797? -a**3 - 627*a**2 - 2*a + 13 What is the q'th term of -889, -890, -897, -904, -905, -894, -865? q**3 - 9*q**2 + 19*q - 900 What is the r'th term of 37, 35, 11, -53, -175? -3*r**3 + 7*r**2 - 2*r + 35 What is the b'th term of -410033, -410035, -410037, -410039, -410041? -2*b - 410031 What is the i'th term of -1175, -1158, -1137, -1112? 2*i**2 + 11*i - 1188 What is the s'th term of -266, -352, -272, -26? 83*s**2 - 335*s - 14 What is the p'th term of -15343, -15352, -15365, -15382, -15403, -15428, -15457? -2*p**2 - 3*p - 15338 What is the p'th term of 11645, 11664, 11683, 11702, 11721? 19*p + 11626 What is the h'th term of -200044, -200045, -200046? -h - 200043 What is the f'th term of -234, -145, -66, 3, 62, 111? -5*f**2 + 104*f - 333 What is the n'th term of -47, -56, -35, 34, 169, 388, 709? 3*n**3 - 3*n**2 - 21*n - 26 What is the t'th term of -2328, -2660, -3214, -3990? -111*t**2 + t - 2218 What is the p'th term of 143, 91, -25, -229, -545? -4*p**3 - 8*p**2 + 155 What is the y'th term of -55, -68, -95, -136, -191, -260? -7*y**2 + 8*y - 56 What is the f'th term of -4819408, -4819407, -4819406? f - 4819409 What is the l'th term of 1651, 1791, 2005, 2281, 2607, 2971? -2*l**3 + 49*l**2 + 7*l + 1597 What is the i'th term of 11511, 11508, 11503, 11496? -i**2 + 11512 What is the k'th term of 572, 4526, 15258, 36158, 70616, 122022, 193766, 289238? 565*k**3 - k**2 + 2*k + 6 What is the z'th term of -319, -417, -517, -619, -723, -829, -937? -z**2 - 95*z - 223 What is the s'th term of 759, 790, 859, 978, 1159? 2*s**3 + 7*s**2 - 4*s + 754 What is the g'th term of 14372, 14521, 14670? 149*g + 14223 What is the z'th term of -15471, -15487, -15501, -15513, -15523? z**2 - 19*z - 15453 What is the b'th term of -5299, -10655, -16069, -21547, -27095, -32719, -38425, -44219? -b**3 - 23*b**2 - 5280*b + 5 What is the w'th term of -500, -1029, -1586, -2171, -2784, -3425? -14*w**2 - 487*w + 1 What is the z'th term of -189112, -378219, -567326, -756433, -945540? -189107*z - 5 What is the g'th term of 25342, 25339, 25336? -3*g + 25345 What is the n'th term of -378520, -378518, -378516, -378514, -378512, -378510? 2*n - 378522 What is the t'th term of 96844, 96808, 96770, 96730? -t**2 - 33*t + 96878 What is the p'th term of -9180, -18350, -27518, -36684, -45848? p**2 - 9173*p - 8 What is the y'th term of 246706, 493413, 740120? 246707*y - 1 What is the t'th term of -14625, -14632, -14639, -14646, -14653, -14660? -7*t - 14618 What is the m'th term of 2090, 8312, 18682, 33200, 51866, 74680, 101642? 2074*m**2 + 16 What is the w'th term of 288, 405, 526, 651, 780? 2*w**2 + 111*w + 175 What is the h'th term of 150043, 150039, 150013, 149953, 149847? -2*h**3 + h**2 + 7*h + 150037 What is the s'th term of 402, 547, 944, 1719, 2998, 4907? 21*s**3 - 2*s + 383 What is the g'th term of -33835, -33845, -33859, -33877, -33899, -33925, -33955? -2*g**2 - 4*g - 33829 What is the m'th term of -6134, -12566, -19008, -25466, -31946, -38454, -44996, -51578? -m**3 + m**2 - 6428*m + 294 What is the b'th term of 157, -432, -2029, -5138, -10263, -17908, -28577? -84*b**3 - b + 242 What is the t'th term of 133, 172, 211? 39*t + 94 What is the b'th term of -2106, -8431, -18974, -33735? -2109*b**2 + 2*b + 1 What is the r'th term of 7265, 7271, 7279, 7289? r**2 + 3*r + 7261 What is the n'th term of -22714, -22724, -22746, -22780, -22826? -6*n**2 + 8*n - 22716 What is the w'th term of 82639, 82638, 82637? -w + 82640 What is the q'th term of 109035, 218074, 327115, 436158? q**2 + 109036*q - 2 What is the o'th term of -2212, -17654, -59552, -141130, -275612? -2204*o**3 - 4*o**2 - 2*o - 2 What is the g'th term of 367, 860, 1495, 2278, 3215? g**3 + 65*g**2 + 291*g + 10 What is the j'th term of 19200, 76792, 172778, 307158? 19197*j**2 + j + 2 What is the f'th term of 141762, 283504, 425246, 566988, 708730? 141742*f + 20 What is the s'th term of -2713, -2738, -2749, -2740, -2705, -2638, -2533? s**3 + s**2 - 35*s - 2680 What is the k'th term of -45565, -45536, -45507, -45478, -45449? 29*k - 45594 What is the b'th term of -922, -7376, -24878, -58948, -115106, -198872, -315766, -471308? -920*b**3 - 4*b**2 - 2*b + 4 What is the g'th term of -2369, -4733, -7103, -9479, -11861, -14249, -16643? -3*g**2 - 2355*g - 11 What is the g'th term of -1, -45, -93, -145, -201? -2*g**2 - 38*g + 39 What is the i'th term of 18417, 36709, 55001? 18292*i + 125 What is the a'th term of 1464012, 1464014, 1464016, 1464018? 2*a + 1464010 What is the f'th term of -1867, -7474, -16731, -29566, -45907? 12*f**3 - 1897*f**2 + 18 What is the i'th term of -113826, -227650, -341474, -455298, -569122? -113824*i - 2 What is the l'th term of -1658, -1810, -1964, -2120? -l**2 - 149*l - 1508 What is the m'th term of 1846807, 3693616, 5540425? 1846809*m - 2 What is the x'th term of 257, 1000, 2235, 3962, 6181? 246*x**2 + 5*x + 6 What is the f'th term of -15719, -31442, -47165, -62888? -15723*f + 4 What is the j'th term of -884, -1572, -2260, -2948, -3636, -4324? -688*j - 196 What is the x'th term of -24947, -49894, -74819, -99710, -124555, -149342, -174059? 2*x**3 - x**2 - 24958*x + 10 What is the s'th term of 1087, 4410, 9967, 17758? 1117*s**2 - 28*s - 2 What is the b'th term of -4610073, -4610070, -4610067? 3*b - 4610076 What is the n'th term of -112, -60, 66, 302, 684, 1248? 6*n**3 + n**2 + 7*n - 126 What is the d'th term of -101, 66, 233, 400? 167*d - 268 What is the x'th term of -41, -190, -445, -812, -1297, -1906, -2645, -3520? -x**3 - 47*x**2 - x + 8 What is the s'th term of -115419, -115446, -115485, -115542, -115623, -115734? -s**3 - 20*s - 115398 What is the q'th term of 19261, 19247, 19233, 19219, 19205, 19191? -14*q + 19275 What is the t'th term of 983, 1910, 2837? 927*t + 56 What is the q'th term of 228978, 228983, 228974, 228945, 228890, 228803? -q**3 - q**2 + 15*q + 228965 What is the b'th term of 264670, 264680, 264690, 264700? 10*b + 264660 What is the o'th term of 22, -566, -1546, -2918? -196*o**2 + 218 What is the i'th term of -2089, -8349, -18781, -33385, -52161, -75109? -2086*i**2 - 2*i - 1 What is the x'th term of -69, -21, 75, 219? 24*x**2 - 24*x - 69 What is the z'th term of -18198, -18189, -18180? 9*z - 18207 What is the b'th term of -189, -346, -469, -540, -541, -454, -261, 56? 3*b**3 - b**2 - 175*b - 16 What is the y'th term of -895, -2987, -6489, -11413, -17771, -25575? -2*y**3 - 693*y**2 + y - 201 What is the l'th term of -31, -240, -831, -2002, -395
{ "pile_set_name": "DM Mathematics" }
is prob of sequence qqqs when four letters picked without replacement from {s: 2, q: 4, u: 1, i: 1, f: 1}? 1/63 Two letters picked without replacement from {n: 9, d: 3, s: 4}. Give prob of sequence nd. 9/80 Calculate prob of sequence lll when three letters picked without replacement from iiqliiiqqiiiqlqqlq. 1/816 What is prob of sequence uiqi when four letters picked without replacement from {u: 9, e: 1, i: 2, q: 6}? 1/680 Three letters picked without replacement from {q: 6, s: 2}. Give prob of sequence qqq. 5/14 Calculate prob of sequence ahha when four letters picked without replacement from {a: 12, h: 3}. 11/455 Two letters picked without replacement from {f: 8, w: 1, t: 1, v: 1, p: 2, q: 2}. What is prob of sequence tv? 1/210 Calculate prob of sequence ms when two letters picked without replacement from {h: 1, t: 2, s: 1, m: 5}. 5/72 What is prob of sequence vago when four letters picked without replacement from {a: 6, z: 2, o: 2, g: 2, v: 3}? 1/455 Three letters picked without replacement from tggvtvgggttggt. Give prob of sequence vvt. 5/1092 Four letters picked without replacement from {x: 1, i: 3, b: 1, e: 2}. Give prob of sequence bxeb. 0 What is prob of sequence vji when three letters picked without replacement from jskivsiicssv? 1/220 Calculate prob of sequence gz when two letters picked without replacement from {g: 4, q: 1, d: 1, e: 2, z: 1}. 1/18 Two letters picked without replacement from {o: 1, r: 7, x: 5, b: 1}. What is prob of sequence rx? 5/26 Two letters picked without replacement from ajxxfffijffjjfm. What is prob of sequence ai? 1/210 Four letters picked without replacement from {k: 18, e: 2}. Give prob of sequence kkee. 1/190 What is prob of sequence xzz when three letters picked without replacement from {z: 3, k: 2, x: 2, m: 9}? 1/280 Three letters picked without replacement from jeejeeemwjjeej. Give prob of sequence jmw. 5/2184 What is prob of sequence mccc when four letters picked without replacement from cmcctcmmmcct? 4/99 What is prob of sequence yy when two letters picked without replacement from {y: 4, u: 6}? 2/15 Calculate prob of sequence vvv when three letters picked without replacement from {e: 4, v: 14}. 91/204 Three letters picked without replacement from peleleesmfleepl. What is prob of sequence mfe? 1/455 Calculate prob of sequence rg when two letters picked without replacement from {y: 5, r: 5, g: 3}. 5/52 Three letters picked without replacement from {c: 2, n: 4}. Give prob of sequence ncc. 1/15 Calculate prob of sequence if when two letters picked without replacement from {k: 1, g: 2, i: 2, f: 4}. 1/9 What is prob of sequence ufff when four letters picked without replacement from {f: 5, u: 8}? 4/143 Four letters picked without replacement from {e: 4, d: 15}. Give prob of sequence ddee. 35/1292 What is prob of sequence hhh when three letters picked without replacement from hhhhhhhhh? 1 Three letters picked without replacement from hvoovjovjjjvjho. What is prob of sequence hoj? 4/273 What is prob of sequence xqbx when four letters picked without replacement from {x: 2, b: 6, q: 2, c: 8}? 1/3060 What is prob of sequence bhke when four letters picked without replacement from hohbekeobobo? 1/990 What is prob of sequence sqsq when four letters picked without replacement from sssssssssssqqsqs? 3/140 What is prob of sequence hsst when four letters picked without replacement from ssotccjcschscssst? 1/680 Three letters picked without replacement from bbtbybbybyyyvbybbyt. Give prob of sequence btv. 1/323 Calculate prob of sequence lr when two letters picked without replacement from {l: 4, r: 6}. 4/15 Four letters picked without replacement from dppppppppd. What is prob of sequence ppdp? 2/15 Four letters picked without replacement from jjomjjwo. Give prob of sequence wmoo. 1/840 Four letters picked without replacement from mmmymmmmmmmmm. What is prob of sequence mymm? 1/13 Calculate prob of sequence oc when two letters picked without replacement from {o: 1, c: 1, i: 6, l: 2, j: 4, h: 1}. 1/210 Two letters picked without replacement from {x: 5, n: 4, q: 1, a: 6}. Give prob of sequence na. 1/10 Two letters picked without replacement from ddddfdfffdmddd. What is prob of sequence df? 18/91 What is prob of sequence wx when two letters picked without replacement from xxxxxxxxwxwxxxwwxxx? 10/57 Two letters picked without replacement from ykkkkykkkk. What is prob of sequence kk? 28/45 What is prob of sequence ws when two letters picked without replacement from nrrnrsswsrsrrsn? 1/42 Calculate prob of sequence ley when three letters picked without replacement from nlenjlylne. 1/120 Two letters picked without replacement from {c: 3, z: 1, r: 1, y: 2}. Give prob of sequence cz. 1/14 Four letters picked without replacement from lnppjtptpp. What is prob of sequence ppnp? 1/84 Calculate prob of sequence tt when two letters picked without replacement from pttpppappppatapppp. 1/51 Calculate prob of sequence id when two letters picked without replacement from ddjaji. 1/15 What is prob of sequence gxgg when four letters picked without replacement from {g: 5, x: 2}? 1/7 Calculate prob of sequence fr when two letters picked without replacement from yryfy. 1/20 Three letters picked without replacement from {s: 1, z: 1, v: 2, n: 5}. Give prob of sequence vnv. 5/252 Two letters picked without replacement from dvddddddddddddddvddv. What is prob of sequence vd? 51/380 Calculate prob of sequence mw when two letters picked without replacement from {m: 6, w: 2, t: 5}. 1/13 Calculate prob of sequence bjdj when four letters picked without replacement from {j: 3, b: 3, d: 5}. 1/88 Four letters picked without replacement from {e: 2, t: 4, k: 2}. Give prob of sequence keet. 1/105 What is prob of sequence km when two letters picked without replacement from yyeykkkeekmyyey? 2/105 Three letters picked without replacement from {p: 1, t: 2, i: 2}. What is prob of sequence iip? 1/30 What is prob of sequence vtty when four letters picked without replacement from vyttytvvtyyttttotvo? 4/323 Calculate prob of sequence tlc when three letters picked without replacement from {g: 1, c: 1, l: 2, t: 1}. 1/30 Two letters picked without replacement from {y: 2, w: 3, b: 3}. What is prob of sequence bb? 3/28 Calculate prob of sequence ik when two letters picked without replacement from {q: 1, k: 1, f: 2, e: 1, i: 5, n: 3}. 5/156 Calculate prob of sequence wq when two letters picked without replacement from qqtvwqqt. 1/14 What is prob of sequence pj when two letters picked without replacement from jxpjjxppjpxpppxx? 7/60 What is prob of sequence qyqm when four letters picked without replacement from {m: 8, y: 3, q: 5}? 1/91 Three letters picked without replacement from {u: 3, o: 11}. What is prob of sequence uuo? 11/364 What is prob of sequence rhr when three letters picked without replacement from {r: 8, h: 2}? 7/45 Two letters picked without replacement from kmfib. Give prob of sequence if. 1/20 Four letters picked without replacement from vuxqqbub. Give prob of sequence bvxu. 1/420 Four letters picked without replacement from {m: 1, s: 6, p: 5, r: 2, o: 5}. Give prob of sequence orss. 25/7752 Four letters picked without replacement from foofoofqq. What is prob of sequence ooqf? 1/42 What is prob of sequence np when two letters picked without replacement from pxhhhxphxxnhnphxhxh? 1/57 Three letters picked without replacement from {a: 4, p: 3, u: 1, v: 1, g: 2, q: 1}. Give prob of sequence vau. 1/330 Calculate prob of sequence xqq when three letters picked without replacement from {q: 6, c: 1, x: 1, f: 9}. 1/136 Four letters picked without replacement from {g: 2, m: 3, d: 2, z: 2}. Give prob of sequence zgdz. 1/378 Four letters picked without replacement from wmwomwwwwwo. Give prob of sequence wmow. 7/330 Calculate prob of sequence fffe when four letters picked without replacement from eeefeeeeeffcfe. 9/1001 What is prob of sequence yy when two letters picked without replacement from {l: 1, h: 1, y: 2, x: 1}? 1/10 Four letters picked without replacement from {x: 4, b: 8, t: 2}. What is prob of sequence ttxx? 1/1001 Calculate prob of sequence tbbo when four letters picked without replacement from {t: 4, b: 9, o: 1}. 12/1001 Three letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
ppose 0 = 5*x + 5*c + 75, -5*x = 4*c - 0*c + 74. Let f = k + x. Calculate the remainder when f is divided by 4. 3 Let b be ((-32)/12)/((-4)/(-138)). Calculate the remainder when (b/(-6))/((-2)/(-3)) is divided by 8. 7 Suppose -3*p + 29 = -40. Calculate the remainder when p is divided by 6. 5 Suppose q - 6 = -2*x, -10 + 0 = -x + 3*q. Suppose 6 + 2 = x*v. Suppose 77 = 5*w + v*h + h, h + 61 = 5*w. What is the remainder when 25 is divided by w? 12 Suppose 0 = -4*n - 2*a + 28 + 6, -3*a + 23 = 2*n. What is the remainder when 12 is divided by n? 5 Let l = -29 + 42. Let k = l + -3. What is the remainder when 19 is divided by k? 9 Let c = -6 - -20. Let m = -33 - -59. What is the remainder when m is divided by c? 12 Let z(i) = -1 - 4*i + 5*i + 2*i. Calculate the remainder when 25 is divided by z(5). 11 Let f(j) = -j + 26. Calculate the remainder when 69 is divided by f(8). 15 Let p = 19 + -17. Suppose p*r - 8 = 16. What is the remainder when 47 is divided by r? 11 Let m(g) = 172*g - 13. What is the remainder when m(1) is divided by 23? 21 Suppose 4*c = 3*c + 6. Calculate the remainder when 17 is divided by c. 5 Suppose p + 79 = 4*z, 2*p - 32 + 0 = -2*z. Suppose 10 = 3*r - 11. Let n(u) = u**3 - 8*u**2 + 7*u + 10. Calculate the remainder when z is divided by n(r). 9 Let c(i) = -i**3 + i. Suppose 3*s + 4 = -2*h, 4*h - 5*h - 2 = -3*s. Calculate the remainder when 16 is divided by c(h). 4 Let h(o) = 36*o + 1. Let v be h(1). Suppose 3*p + 2*m - 29 = 0, 0*m + m = -4*p + v. Calculate the remainder when 26 is divided by p. 8 Let i(s) = s**2 - 2*s + 4. What is the remainder when 34 is divided by i(-3)? 15 Suppose 5*y = -0*c - 3*c + 64, 2*c + 4*y - 40 = 0. Calculate the remainder when 110 is divided by c. 26 Suppose l - 6 + 4 = 0. Suppose n - 36 = -3*m + l*n, 0 = 2*n. What is the remainder when 34 - 1*(-2)/2 is divided by m? 11 Suppose 23*o - 26*o = -126. Calculate the remainder when o is divided by 11. 9 Let k be (-4)/14 - 12/(-42). Suppose k = 3*d + 2*z + 6, 0*d + d - 3*z = -13. Let w(x) = -3*x - 4. What is the remainder when 23 is divided by w(d)? 7 Let x(i) = -i**3 + i**2 + 4. Let r be x(0). Let l = -5 + r. Calculate the remainder when l - -2 - 2/(-2) is divided by 1. 0 Let r = -7 - -6. Let z be ((-24)/(-3))/((-2)/r). Suppose 0 = -0*g + g + z*w - 25, 3*w - 74 = -4*g. Calculate the remainder when 32 is divided by g. 15 Let t(h) = 4 - 11 + 2*h - 1 - 1. Calculate the remainder when 13 is divided by t(7). 3 Suppose i - 6*i - 5*y + 120 = 0, -2*i + 3*y = -28. Calculate the remainder when 118 is divided by i. 18 Let f(t) = 3*t - 1. Let j be f(1). Suppose -j*o - 1 = -21. Let c = -120 + 124. What is the remainder when o is divided by c? 2 Let c(m) = -m**2 - m + 3. Let f be c(-4). Let t be (54/(-21))/(f/42). Suppose 2*n - t = 10. What is the remainder when 20 is divided by n? 9 Suppose 0 = 5*y - 2*y - x - 566, 0 = -x + 4. What is the remainder when y is divided by 32? 30 Suppose 45 = r - z, 4*r = -5*z - 63 + 216. Let b(x) = -3*x. Let a be b(-1). Let k = a - -19. Calculate the remainder when r is divided by k. 20 Suppose -2*i - 3*i = -5*v + 85, -5*v = -4*i - 82. Suppose -5*x + 271 = -2*d, -x + 2*d = -0*x - 59. Calculate the remainder when x is divided by v. 11 Suppose 5*k - 210 = -3*r, 4*k + 3*r = -2*r + 155. What is the remainder when k is divided by 16? 13 Let l(z) = 4*z + 2. Let p be l(-2). Calculate the remainder when 210/9 + 2/p is divided by 8. 7 Suppose -3*s - s - 37 = -c, 2*c + s = 92. What is the remainder when c is divided by 12? 9 Suppose -3*b - 7 = 14. Let x(d) = -d + 1. Suppose -3*o = -75 + 6. What is the remainder when o is divided by x(b)? 7 Let f(k) = -3*k - 8. What is the remainder when 29 is divided by f(-8)? 13 Let r(x) = 2*x**2 - 4*x - 7. Let y = -10 - -7. What is the remainder when 2/(-6)*y + 67 is divided by r(5)? 22 Let z be 2/(-11) - 4/(-22). Suppose w = 5*l + 27, -w - 2*l = -z*l - 27. What is the remainder when w is divided by 14? 13 Let u = -3 + 7. Suppose 0 = u*x - 7*x + 108. Suppose -t - 3 = 0, 3*h + 4*t - x = -0*t. Calculate the remainder when h is divided by 9. 7 Calculate the remainder when 25 is divided by 4/(-1) - 33/(-3). 4 What is the remainder when 4/8 - (-81)/6 is divided by 8? 6 Suppose 0 = 3*k - 2*m - 134, -3*k + 3*m + 33 = -2*k. Let q = k + -13. Calculate the remainder when q is divided by (-12)/(-7)*14/2. 11 Let a = 99 + -71. Let p be (-2)/5 - 24/(-10). Let b(z) = z**3 + 2*z**2 - 4*z + 2. What is the remainder when a is divided by b(p)? 8 Let q(x) = x + 7. What is the remainder when 15 is divided by q(-1)? 3 Suppose -22*p + 60 = -17*p. Calculate the remainder when 32 is divided by p. 8 Let q be (-2 + 2 + -1)*398. Let w = q + 562. Suppose 4*i + w = -2*p + 6*p, -2*p + 67 = 3*i. Calculate the remainder when p is divided by 13. 12 Suppose 33 = 5*r - 27. What is the remainder when 33 is divided by r? 9 Let j = 46 - 17. Suppose 39*r - 344 = 35*r. What is the remainder when r is divided by j? 28 Let u(r) = r**3 + r**2 + 2*r + 1. What is the remainder when u(3) is divided by 11? 10 Let v(b) = -8*b - 10. Calculate the remainder when v(-5) is divided by 8. 6 Let h(a) = -6*a**3 - 6*a**2 - 3*a + 5. Let l be h(-4). Suppose -5*m + l = 40. What is the remainder when m is divided by 11? 9 Let h = 5 - 2. Calculate the remainder when 31 is divided by (3 - 2)*h + 8. 9 Suppose -3*n = 4*i - 0 - 2, -n + 2*i = 16. Let u = 13 + n. Calculate the remainder when u is divided by 5. 2 Suppose 2*s - v = 38, -3*s - 4*v + 79 = -0*v. Calculate the remainder when 83 is divided by s. 20 Suppose 0 = -0*d - d + 11. Let r(w) = 6*w + 9. Calculate the remainder when r(d) is divided by 26. 23 Suppose 543 = 5*p + 2*u, -4*u + 127 = p + u. Suppose 3*g + 0 - 109 = 5*q, p = 3*g - 4*q. What is the remainder when g is divided by 9? 6 Suppose 0*t + 3*t - 15 = 0. Suppose t*u - 418 = -108. Let c = u + -10. What is the remainder when c is divided by 18? 16 Let d(j) = j**3 - 10*j**2 - 15*j + 11. Let w be d(11). Let c = w + 50. Suppose -2*h + 103 = c. What is the remainder when h is divided by 11? 10 Let i = 19 - 14. What is the remainder when 22 is divided by i? 2 Let j(o) be the second derivative of -3*o + o**4 - 1/20*o**5 + 0 + 8*o**2 + 0*o**3. What is the remainder when 30 is divided by j(12)? 14 Let n(i) = 5*i - 2. Let b be n(2). Suppose -r + b + 8 = 0. Calculate the remainder when 61 is divided by r. 13 Let u be (14 - -1)*(7 - 8). Let z = 29 + u. Calculate the remainder when 53 is divided by z. 11 Suppose 3*j - 5*x = 7*j + 9, -3*x + 5 = 5*j. What is the remainder when 8 is divided by j? 0 Suppose -5*h + 150 = 5*l, l - 10 = -3*h + 26. Suppose j - 73 = -11. Let d = j - l. What is the remainder when d is divided by 12? 11 Let j be (30/(-4) + 3)*2. Suppose -4*m - 3*q - 103 = 0, -3*m - 2*q = m + 102. Let k = j - m. What is the remainder when k is divided by 6? 4 Suppose 5*j = -2*i + 85, 3*j - 2 - 7 = 0. Calculate the remainder when i is divided by 18. 17 What is the remainder when 60 is divided by 28 - (-1 + (5 - 9))? 27 Suppose 0 = 3*z - 3*x + 9, -z + 2*x = -1 + 6. Let q be (0 - -2)*(-1)/z. Suppose q*j - 49 = -21. What is the remainder when j is divided by 5? 4 Suppose 2*i = -5*k - 5, 4*k = i + 2*i + 19. Suppose -28 = f + 3*f. Let z = k - f. What is the remainder when 22 is divided by z? 6 Suppose -2*y = -2*r + 4, -5*r + 3*y + 5 = -5. What is the remainder when 62 - (-1 - (-8)/r) is divided by 15? 14 Suppose -5*p = -10*p - 90. Calculate the remainder when 16 is divided by p/(-3)*(0 - -1). 4 Suppose 4*u - 36 = -0*u. What is the remainder when 26 is divided by u? 8 Suppose -u + 32 = 3*u. Suppose c = -5*v + 96, -3*c = 5*v - u*c - 90. Calculate the remainder when 75 is divided by v. 18 Let z(l) = -3*l + 3*l + l**2 - 6*l - 3. Suppose -56 - 4 = -4*n. Calculate the remainder when n is divided by z(7). 3 Suppose -2*g = d - 42, -g - 4*g + 4*d = -79. What is the remainder when 92 is divided by g? 16 Suppose s - 6 = 15. What is the remainder when s is divided by 8? 5 Let l = 8 - 5. Let d(r) = r**3 - 2*r**2 + r + 2. What is the remainder when 41 is divided by d(l)? 13 Suppose 3*g = -s + 88, -92 = -2*g - g - 5*s. Let q(c) = -c + 4. Let x(d) = d - 12. Let i be x(6). Calculate the remainder when g is divided by q(i). 9 Let g be (-2 - -2) + -1 - -172. Let c = 322 - g. Let o = c - 80. Calculat
{ "pile_set_name": "DM Mathematics" }
. What is j rounded to the nearest 100000? -7900000 Let a = -224 + 119. Let b = -342.355 + 237.1. Let v = a - b. Round v to 2 dps. 0.26 Let h(l) = 3833*l**3 + 13*l**2 - 15*l - 15. Let t = 25 - 22. Suppose 0 = t*a + 2*b + 23, b + b = 10. Let i be h(a). What is i rounded to the nearest 1000000? -5000000 Let g = -14322368.2 - -14323202.199177. Let x = 834 - g. What is x rounded to five decimal places? 0.00082 Let s = -3.869786 - 3.829443. Let k = -7.7 - s. Round k to five dps. -0.00077 Let h = -292.7893801 + -0.1633199. Let v = 293 + h. Round v to three decimal places. 0.047 Let u(q) = 2062*q**2 - 63*q + 1560. Let l be u(-96). Round l to the nearest 1000000. 19000000 Suppose -23*y + 5 = -22*y. Suppose 0 = -2*p + 5*p + 4*n - 2439004, 4064999 = y*p - n. What is p rounded to the nearest ten thousand? 810000 Let s = -0.01735 + 0.0173509615. What is s rounded to seven dps? 0.000001 Let s = 7790.7837 + -7791. Round s to two dps. -0.22 Let g(t) be the third derivative of -19136*t**5/15 - 23*t**4/24 - 10*t**2. Let k be g(8). What is k rounded to the nearest 100000? -4900000 Let b(m) = 53*m. Suppose 4*x - 5*v = -x - 115, 95 = -4*x + 5*v. Let n be b(x). What is n rounded to the nearest one hundred? -1100 Let x = -3609 - -3613.9. Let a = -17.6 - -24.28. Let f = a - x. What is f rounded to 1 dp? 1.8 Let w = 17.81819 - 17.9732019. Let i = 5.595 + -5.75. Let s = i - w. What is s rounded to 6 dps? 0.000012 Let y = -4.99 - -4.284. Let a = -21.906 - y. What is a rounded to the nearest integer? -21 Let n(q) = 16149994*q**2 - 11*q + 2. Let t be n(-2). What is t rounded to the nearest one million? 65000000 Let g = -139.524015 + 139.51. Round g to 4 decimal places. -0.014 Suppose 22 = 4*x + 2*z, -4 = -x - 0*x + z. Suppose 4*a + 5*w - 2*w = x, 0 = 3*a + w - 10. Let o be -208*((-75)/(-20))/a. Round o to the nearest 10. -160 Let r = -27052 + 27051.38473. Let d = -0.609 - r. What is d rounded to three decimal places? 0.006 Let w = -742198903 + 742199257.000277. Let m = 354 - w. What is m rounded to 4 dps? -0.0003 Let x = 331.65924346713047 + 1785298452.34075795286953. Let m = -1785298761 + x. Let y = 23 - m. Round y to 7 dps. -0.0000014 Let j be 5 + (2 - 183824012) - (2 + 91/(-13)). Round j to the nearest one million. -184000000 Let u = 89.6303033 - 89.634. Round u to three dps. -0.004 Let p be ((-12075008)/(-121) - 12/(-22))*5. What is p rounded to the nearest ten thousand? 500000 Let l = -1400 + 1400.0593. Let u = -3.0907 - l. What is u rounded to the nearest integer? -3 Let q = -8537980 + 18564980. Round q to the nearest one million. 10000000 Suppose -5*r + 2*m = 163962, -r + 22*m = 26*m + 32766. Round r to the nearest 100000. 0 Suppose -5*d + 25 = 2*q, 2*q + 4*d - 20 = 5*q. Suppose 7*x - 7799859 - 7023327 = q. Let c = 487598 - x. Round c to the nearest 1000000. -2000000 Let t = 14253402 + -7185402. Round t to the nearest one million. 7000000 Let a(n) = -22*n - 127. Let c be a(-6). Suppose -2*z + 5*r - 10435 = -3935, -c*z - 3*r = 16188. What is z rounded to the nearest one thousand? -3000 Let n be 6220/(7/(-70)*12/42). Round n to the nearest 100000. -200000 Let x = 116 - 10. Let s = 105.99999699 - x. Round s to seven decimal places. -0.000003 Let p = -112.65 + -2.35. Let g = p - -117.78. Let b = -1.2 + g. Round b to 1 dp. 1.6 Let a = -298 + 300. Suppose -a*c - 12400 = -3*i + 2131, -5*i = 5*c + 36365. What is c rounded to the nearest one thousand? -7000 Let m = -177 - -177.268. Let n = m - 0.268000001. What is n rounded to seven dps? 0 Suppose 4*h - o = 658791209, -6 = 5*o - 1. Suppose -22*p = -h - 288502198. Round p to the nearest one million. 21000000 Let o = -843.34 + -58.66. Let b = -897.37137528 - 4.62909372. Let i = o - b. Round i to 4 dps. 0.0005 Let p(d) = 2*d**3 + 120*d**2 - 72*d - 344. Let w be p(-60). Round w to the nearest 1000. 4000 Let x = 8.26 - 51.16. Let u = x + 85. What is u rounded to the nearest 100? 0 Let p = -15938 + 16335.54. Let b = p + -401. Round b to one decimal place. -3.5 Let g = -5.314 - 678.286. What is g rounded to the nearest 1000? -1000 Let p = -1112 + 1112.000001245. Round p to seven dps. 0.0000012 Let m = 0.04318031386 + -0.043181. What is m rounded to 7 decimal places? -0.0000007 Let j(p) = p**3 - 4*p**2 - 18*p + 11. Let s be (-4)/5 + (7 - (-112)/40). Let h be j(s). Round h to the nearest one hundred. 300 Let j = 0.039212393364 - 27.839212724364. Let l = 24.918 - -2.882. Let y = j + l. Round y to seven decimal places. -0.0000003 Suppose s = 4*h - 7002297, -5*h + 9*s + 8752880 = 6*s. Let r = -1143973 + h. What is r rounded to the nearest one hundred thousand? 600000 Let z = -72.3 + 11.3. Let n = 61.269 - 1.369. Let c = n + z. Round c to the nearest integer. -1 Let n(o) = 6*o - 14*o + 12 + 58*o. Let t = -217 - -213. Let k be n(t). What is k rounded to the nearest ten? -190 Suppose s = 3*i - 988259, 5*i - 545274 = -2*s + 1101806. Suppose 10582 + i = -8*c. What is c rounded to the nearest 10000? -40000 Let v be (-1 - 73) + 12*4/12. Let l = v - -78. Let f be 3100004 - (l + -1 + -3). Round f to the nearest one million. 3000000 Let z = 302.222 - 380.6. What is z rounded to zero dps? -78 Suppose -4*h + 23 = 5*d, -3*h = -0*h + 3*d - 15. Let g(y) = 3*y + 2 + 9*y**2 + y**3 - h + 4 + 1. Let b be g(-8). Round b to the nearest ten. 50 Let o be ((-9)/2)/(27/270). Let l be (-327120)/(-18)*o/6. Round l to the nearest ten thousand. -140000 Let s = 4098580.97300107 + -4098581. Let k = -57.52 + 57.493. Let d = s - k. What is d rounded to seven decimal places? 0.0000011 Let r = 31841.04299 - 31839.521990817. Let t = r - 1.521. Round t to seven dps. -0.0000008 Let s = 7667.19 + -7644. What is s rounded to the nearest 10? 20 Let x = -0.02745 + 0.0317973. Round x to 5 dps. 0.00435 Let t be -15 - (4 + -4)/(-3). Let x be (-10)/t + (-466)/6. Let g be 20*(x + ((-12)/(-3))/4). What is g rounded to the nearest 100? -1500 Let m(b) = -31*b**3 - b**2 - 26*b + 13. Let h be m(5). Round h to the nearest 100. -4000 Let q = 88 - 232. Let f = q + 143.99266. Round f to 4 dps. -0.0073 Let x = 69844 + -69837.68656. Let h = x + -6.3. Let s = h + -0.016. What is s rounded to 4 decimal places? -0.0026 Let v(m) = 264*m**2 + 3*m + 190. Let n be v(8). Round n to the nearest one hundred. 17100 Let m = 5531.00000053485 - 5531. What is m rounded to seven decimal places? 0.0000005 Let s = 3.3554 + -3.05854. What is s rounded to 3 decimal places? 0.297 Let d = -156 + 91. Let x = -64.943 - d. Let m = x - -0.015. Round m to 2 decimal places. 0.07 Let r = -142973126.9999578 + 142973011. Let w = 116 + r. Round w to five decimal places. 0.00004 Let j = 12732660 + 3403015. Let h = j - 6655672. Suppose -h = 4*w - x, -5*w = -x + 12748225 - 898222. What is w rounded to the nearest one hundred thousand? -2400000 Let q = -26 - -30. Suppose -2*b - 15 = k - 7*b, 0 = 2*k + q*b - 12. Suppose k = -20*o + 21*o + 470. Round o to the nearest one hundred. -500 Let n(s) = -1041*s - 25. Let d be n(-17). Let z = -25062 + d. Round z to the nearest one thousand. -7000 Let n = 6814.00002691 + -6814. What is n rounded to seven decimal places? 0.0000269 Let n be (-11 + -3)*2/1. Let p = n - -33. Suppose p*v + 2*g - 415008 = 0, -4*g = -2*v + g + 165980. Round v to the nearest 10000. 80000 Let s = 1602 + -1601.984294. Let v = s - 0.016. Round v to 4 decimal places. -0.0003 Let z = -546518.0000323343 + 546518. Round z to 6 decimal places. -0.000032 Let z be 4/28 + 7656880048/56 + -1. What is z rounded to the nearest 1000000? 137000000 Let m be (157 + (14 - -84)/(-14))*(-32476)/(-3). Round m to the nearest 100000. 1600000 Let p = -289 + 657. Let q = -797354435485 - -797354435853.000000427. Let g = p - q. What is g rounded to 7 dps? -0.0000004 Let r = -68.6 - -71.498. Round r to 1 dp. 2.9 Let q = 51.99 - 51.989986607. What is q rounded to 6 decimal places? 0.000013 Let p = -0.118001 - -25.867901. What is p rounded to the nearest integer? 26 Let k(h) = h**2 - 67*h - 44. Let u be k(32). Let y be (-3 - u) + -5 + -6. Round y to the nearest 10. 1150 Let k(h) = 8691*h**3 - 19*h**2 + 24*h + 34. Let a be k(12). Let z = -8975634 + a. Round z to the nearest 100000. 6000000 Let a = 2.14 - 2.025. Let i = a - 56.315. Round i to 0 dps. -56 Suppose -11*m + 11794 = -6994. Suppose -21818 = -2*k + 2*t + m, 3*k - 35274 = -2*t. What
{ "pile_set_name": "DM Mathematics" }
c(10). Let r(k) = -9*k + 14. Calculate the remainder when r(o) is divided by 23. 18 Let c(y) = 2*y**2 - 4*y + 2. Suppose -p + 2*p - 5*u + 23 = 0, 0 = 2*p - 4*u + 16. Let s be c(p). What is the remainder when (-3)/(((-4)/26)/s) is divided by 21? 18 Let s be -1*0/(-2) - (2 + -4). Suppose -3*t + 26 = 4*r, s*r + 12*t - 16 = 9*t. What is the remainder when 27 is divided by r? 2 Let i = -544 + 856. Let u be (-2)/(-11) - i/22. Let b = u + 22. What is the remainder when 21 is divided by b? 5 What is the remainder when 64/(-992) + 24436/124 is divided by 34? 27 Let h = -14 - -21. Let u(v) = -1 - 175*v + 176*v + 2. What is the remainder when u(11) is divided by h? 5 Let i = -385 + 462. Calculate the remainder when i is divided by 49. 28 Suppose 0 = -8*d + 9404 - 5388. Calculate the remainder when d is divided by 12. 10 Let p be 6/(-9) - 761/(-3). Suppose -4*r + p = 7*r. Calculate the remainder when 67 is divided by r. 21 Let c = 229 - 118. Calculate the remainder when c is divided by 19. 16 Let z = 7 - 5. Suppose -2*s = -4*m - 4, z*s = m + 3 + 7. What is the remainder when 17 is divided by s? 5 Let f = 523 - -30. Calculate the remainder when f is divided by 18. 13 Let t = 24 + 17. Suppose -t - 284 = -5*u - 5*c, -210 = -3*u + 2*c. Calculate the remainder when u is divided by 12. 8 Let z(f) = -f**3 + 8*f**2 + 5*f + 50. What is the remainder when 49 is divided by z(9)? 7 Suppose 29*g = 24*g + 100. What is the remainder when 49 is divided by g? 9 Let x(k) = -k**3 + 11*k**2 + 16*k - 7. Let t = -10 + 17. Let n be (-2)/(-3)*(11 + t). Calculate the remainder when x(n) is divided by 11. 8 Let f = -718 - -1416. What is the remainder when f is divided by 22? 16 Suppose -4*j + 123 = -2*l + 7*l, -4*j + 158 = -2*l. What is the remainder when 41 is divided by j? 4 Let s = 358 - 312. What is the remainder when 103 is divided by s? 11 Let b(j) = -j**3 - 8*j**2 - 28*j - 79. What is the remainder when 286 is divided by b(-6)? 14 Let t(w) = -w**3 - 2*w**2 + 4*w + 10. Let v(q) = -q. Let g(n) = t(n) - 2*v(n). Calculate the remainder when 35 is divided by g(-4). 17 Calculate the remainder when -1*(-3)/(24/12472) is divided by 130. 129 Let t(y) = y + 3. Let z be t(6). Let c = z - -15. Let f(v) = v**3 - 2*v**2 + 4*v - 2. What is the remainder when f(4) is divided by c? 22 Let r(b) = -2*b - 16. Suppose 4*u = 5*u - 76. Suppose -4*o + 44 = -u. What is the remainder when r(-37) is divided by o? 28 Let d = -64 - -83. Let o = 22 - d. Calculate the remainder when 7 is divided by o. 1 Suppose 5*a = 5*s - 250, -4*s + 3*a = -3*s - 46. Suppose 4*k = -0*k - h + 56, k = -5*h + 14. Calculate the remainder when s/(3 + 0 - (1 + 0)) is divided by k. 12 Let g be (330/(-12))/((-1)/(-6)). Let v = -108 - g. What is the remainder when v is divided by 12? 9 Let g(n) = n**3 + 38*n**2 + 30*n - 209. Calculate the remainder when 195 is divided by g(-37). 45 Let o = -561 - -608. Calculate the remainder when 179 is divided by o. 38 Let c = -278 + 297. Suppose 3*n - 4*f = 188, -3*n + 0*n + 3*f + 183 = 0. What is the remainder when n is divided by c? 18 Let k be 9*(-3 + 4) + 0. Let j(x) = -x + 15. Let v be j(k). Suppose -3*g - 3 = a, v - 1 = -g. Calculate the remainder when 22 is divided by a. 10 Let v = -106 + 149. Suppose 0 = -10*j + 5*j + u - v, -3 = -u. Let d(w) = -w**2 - 11*w - 2. Calculate the remainder when 64 is divided by d(j). 20 Let h be ((-2)/(-3))/(6/18). Suppose -5*q + 10*q - 360 = -5*b, h*b - q - 153 = 0. What is the remainder when b is divided by 26? 23 Let o = 297 + -289. Suppose x + 3*j = 7*j + 16, x = 5*j + 15. What is the remainder when x is divided by o? 4 Let f(j) = j**2 - j - 18. Let c be f(0). Let y be (-4)/c + (-25)/(-9). Suppose 4*m + y*m - 210 = 0. Calculate the remainder when m is divided by 16. 14 Suppose 4*d - 16 = -p - 3*p, 15 = -3*d. Suppose 5*a - 1101 = 449. Suppose 9*b - a = 5. Calculate the remainder when b is divided by p. 8 Suppose -c = 52 - 128. What is the remainder when 299 is divided by c? 71 Let b = -154 + 236. Calculate the remainder when b is divided by 17. 14 Suppose 2*q + 6 = 0, -2*f - 13*q + 15*q + 28 = 0. Calculate the remainder when 887 is divided by f. 7 Let p = 220 + -118. Let a(v) = 9*v**3 + v**2 - 1. What is the remainder when (0 - p)/(-3) + 1 is divided by a(1)? 8 Let z(h) = 3*h + 51. Let m be z(-16). Suppose f + 2*f - m = -4*o, -o = f. What is the remainder when 14 is divided by o? 2 Let f = 563 + -553. Calculate the remainder when 1829 is divided by f. 9 Let a(m) = 6*m**2 + m + 70. Let v be a(0). Let i = v + 83. What is the remainder when i is divided by 39? 36 Let h(w) = w**3 + 53*w**2 - 109*w + 124. What is the remainder when 275 is divided by h(-55)? 68 Suppose 5*r = -4*i - 321, -3*r - 317 - 68 = 5*i. Let q = -49 - i. Let y = q - 9. What is the remainder when 28 is divided by y? 12 Suppose -2*k - 20 = -4*b, 5*b + 12 - 37 = -2*k. Suppose c - 45 = 3*p - b*p, -p - 2*c = -30. Calculate the remainder when 118 is divided by p. 18 Suppose 4*v = -2*i + 330, -i + 60 = -5*v - 112. Calculate the remainder when i is divided by 56. 55 Suppose w = -3*z + 10, -w - 4*w + 4*z + 31 = 0. Suppose -3*y - 32 = -w*y. Let d(r) = r**2 + 4*r - 19. Calculate the remainder when d(y) is divided by 20. 17 Suppose -2*c = -y - 2, -2*c = -3*c + 3. Calculate the remainder when 18 is divided by y. 2 What is the remainder when 64 is divided by -9*(-6)/(-12)*2*-2? 10 Let u(n) = n**3 - 4*n**2 - 5*n + 3. Let j be u(5). Suppose j = 3*i - 27. What is the remainder when 3/(-2) + 228/8 is divided by i? 7 Let v = -1277 + 1287. Suppose -3*f - 80 = 2*f. Let b = 3 - f. Calculate the remainder when b is divided by v. 9 Suppose l - 232 = -5*d, 4*l + 3*d - 8*d - 828 = 0. What is the remainder when l is divided by 8? 4 Let s = -25 + 54. Let l(p) = -p**2 - 8*p + 3. Let y = 7 - 14. What is the remainder when s is divided by l(y)? 9 Let a be (-1)/3 - (-115)/3. Let d = -66 + 44. Let q = a + d. What is the remainder when 61 is divided by q? 13 Suppose 0 = -2*t + 3*f + 10 + 145, 225 = 3*t - 3*f. Calculate the remainder when t is divided by 30. 10 What is the remainder when 131 is divided by -7 - 6*7/6*-8? 33 Let a(m) = m**2 + 8*m + 12. Let o be a(-6). Suppose o = 3*l - 5*l + 40. Calculate the remainder when l is divided by ((-35)/10)/(1/(-2)). 6 Let a = -9 + 20. Let h be -2 - (3 + -7) - 108. Let q = -74 - h. Calculate the remainder when q is divided by a. 10 Suppose -62 = -5*f + 13. Let v(m) = 2*m**3 - 19*m**2 - 4*m - 3. Calculate the remainder when v(10) is divided by f. 12 Suppose 22*r - 530 = 284. What is the remainder when 51 is divided by r? 14 Let l(v) = v**3 + 8*v**2 - 5*v - 7. Let b(h) = -3*h. Let f be b(-1). Suppose -2*x + 315 = f*x. What is the remainder when x is divided by l(-8)? 30 Suppose 4*r - 72 = -2*l, 6*r - 40 = 4*r - 2*l. Calculate the remainder when 748 is divided by r. 12 Suppose l = 5*l + 28. Let d = 3 - l. Let i(o) = 22*o**2 + 233*o - 80. Calculate the remainder when i(-11) is divided by d. 9 Suppose i + 4*i + 5*s - 210 = 0, -126 = -3*i + 4*s. Let w = i + -20. What is the remainder when 41 is divided by w? 19 Let t(p) = 1. Suppose 10*z + 30 = 5*z. Let s(b) = b - 3. Let l(f) = z*t(f) - s(f). What is the remainder when 25 is divided by l(-12)? 7 Let p be (-2)/(-7) - (-8)/(-28). Let l be (3/(-1))/(3/(-28)). Suppose b - l + 1 = p. Calculate the remainder when b is divided by 7. 6 Let w = 94 + -104. What is the remainder when (428/w)/(2/(-5)) is divided by 22? 19 Suppose -2*o - k + 96 = -0*k, 48 = o - k. What is the remainder when 133 is divided by o? 37 Let y(w) be the third derivative of 3*w**4/4 + w**3/6 - 2*w**2. Let f = 288 + -269. What is the remainder when y(4) is divided by f? 16 Suppose -4*u + 20 = -3*u. Suppose -u = -8*s + 3*s. Suppose -3*k + s*n + n = -44, 2*n = 3*k - 50. Calculate the remainder when 52 is divided by k. 16 Let s = 1449 + -1387. What is the remainder when 246 is divided by s? 60 Suppose 1 = -4*q + 9. Suppose 0 = 5*p - 143 - 232. Suppose 0 = -q*x + 3*x - p. Calculate the remainder when x is divided by 19. 18 Suppose 819 = -25*z + 3969. What is the remainder when 368 is divided by z? 116 Let i = -225 - -269. What is the remainder when i is divided by 9? 8 Suppose 0 = 4*p + 31 - 307. Suppose -3*q - 3*k + p = 0, 4*q - 3*k - 75 = -q. What is the remainder when
{ "pile_set_name": "DM Mathematics" }
x. 11 Let k(u) = -3*u - 3. Let j be k(-1). Let y be -3 + 49 - (j + 0). Suppose 51 + y = 2*a + i, 4*a = -i + 197. What are the prime factors of a? 2, 5 Let s(k) = k**2 - 6*k - 187. List the prime factors of s(-26). 3, 5, 43 Suppose 4*m - 2*m + 796 = 2*t, 4*m + 1987 = 5*t. Suppose 5*c - t = -0*x - 2*x, -3*x + 79 = c. What are the prime factors of c? 79 Suppose -j + 10 - 5 = 2*v, 0 = v + j - 3. Suppose -v*n = -22 - 8. List the prime factors of n. 3, 5 Let k = 23 + -6. List the prime factors of (k/2 - 0)*8. 2, 17 Let k(r) be the first derivative of 48*r**3 - 5*r**2/2 + 6*r + 51. List the prime factors of k(1). 5, 29 Let w(j) = -55*j**3 - 22*j**2 - 22*j + 54*j**3 - 3 + 48. List the prime factors of w(-21). 2, 3, 11 Suppose -2*u - 6 = 4*j, 2*u - 1 = -3*j - 3. Suppose -148 = -u*k + k. What are the prime factors of k? 37 Let b be 2/(-2*(-3)/3). Suppose 31 = 5*c + 3*o, 0*c - c - 3*o = b. Let g(p) = p**3 - 9*p**2 + 11*p + 4. What are the prime factors of g(c)? 2, 7 Let d = -6036 - -8697. What are the prime factors of d? 3, 887 Let x(l) = -4*l - 1. Let c(j) = 5*j + 1. Let i(g) = -5*c(g) - 6*x(g). Let y be i(1). Suppose -6 = -q - q, -5*m + 3*q + 61 = y. List the prime factors of m. 2, 7 Let c(s) be the first derivative of 15*s**4/4 + 2*s**3/3 - s**2/2 - 2*s + 8. What are the prime factors of c(2)? 2, 31 Let f be (-3)/24 + 302/(-16). Let d = 138 + f. List the prime factors of d. 7, 17 Let b(p) = -2 - 1 + 8*p**2 - 5 - 8*p - p**3. Let i be b(7). Let y = -13 - i. List the prime factors of y. 2 Let f be (-2)/(-8) - (-5)/((-80)/(-92)). Suppose -4*a - 5*t + 216 = 0, a - f*a - 2*t = -287. List the prime factors of a. 59 Let r = -38 - -35. Let y(s) = 3*s**2 - 5*s - 1. What are the prime factors of y(r)? 41 Suppose 3*d + 108 = 7*d. What are the prime factors of 1587/d + (-6)/(-27)? 59 Suppose 9668 = -0*n + 5*n - 3*z, 3*z = -3. List the prime factors of n. 1933 Let c = -2876 + 4993. List the prime factors of c. 29, 73 Let m = 1660 + -608. List the prime factors of m. 2, 263 Suppose -53*a = -48*a - 75. Suppose a*s - 216 = 11*s. List the prime factors of s. 2, 3 Let r be (-4)/(-9)*-3 - 3482/(-6). Suppose 4*t = 3*v - 6*v + r, -3*v + 588 = t. List the prime factors of v. 197 Let i = 34 - 18. Let w = i + -14. Suppose q - w*q + 3 = 0, q = 2*m - 31. List the prime factors of m. 17 Let w = 31 - 76. List the prime factors of (-2 - w) + 0 + (0 - 3). 2, 5 Let q = 10 + -15. Let g be (-1)/(((-10)/(-36))/q). Suppose 0*u - 4*y = -2*u + g, 3*y = 3*u - 39. List the prime factors of u. 17 List the prime factors of 669/2 - 23/(-46). 5, 67 Let q(d) = d**3 - 17*d**2 - 68*d - 45. List the prime factors of q(23). 5, 313 Let x = -1582 - -2391. What are the prime factors of x? 809 What are the prime factors of 9/(54/(-213))*-18? 3, 71 Suppose -3*w = 9 + 6. Let l(i) = 5*i**2 + 2*i**2 + 4*i**3 - 8*i - 3 - 3*i**3 + 12*i. List the prime factors of l(w). 3 Let v be ((-1)/2 + -2)*2. Let s(f) be the first derivative of -3*f**2/2 - 2*f + 3. What are the prime factors of s(v)? 13 Let k(d) = d**3 - 31*d**2 - 8*d - 36. List the prime factors of k(32). 2, 3, 61 Let w be (2 - (0 - -1))*3. Suppose 5*q - 138 = 3*q - 4*y, 0 = -2*q + w*y + 110. What are the prime factors of q? 61 Suppose 6*j + 0*j = -240. List the prime factors of (j/(-6))/(8/12). 2, 5 Let x = 1058 - 578. List the prime factors of x. 2, 3, 5 Let z = 9 - -11. Suppose -z = -5*s - 0*s. List the prime factors of (-32)/(2/((-8)/s)). 2 Suppose 17*t - 3*t - 11858 = 0. List the prime factors of t. 7, 11 Let q be 50/(-4)*(-80)/8 - -4. List the prime factors of -1*(-1)/(3/q). 43 Let g be (-28155)/(-90) - (-1 - (-10)/12). Suppose -3*w + 3*n + n + g = 0, -314 = -3*w + 5*n. List the prime factors of w. 103 Let a(f) = -6 - 3 - 2*f - 11 + 0*f. Let i be a(0). Let t = 69 + i. What are the prime factors of t? 7 Suppose -54*y + 87366 + 17718 = 0. What are the prime factors of y? 2, 7, 139 Let z be (-220)/(-16) - (-3)/12. Suppose 9*x - z*x = -305. List the prime factors of x. 61 Let y(d) = d + 12. Let c be y(-10). Suppose c*i - 6*i = 4*s + 8, s = 3*i + 14. Suppose 0*n = n - s. What are the prime factors of n? 2 What are the prime factors of ((-2152)/6)/((-16)/24)? 2, 269 Let i be 7/(42/4)*366. Suppose -36 + i = 4*z. What are the prime factors of z? 2, 13 Let o = -6 - -51. Let h = o - 21. List the prime factors of h. 2, 3 Let o = 118 - 172. Let p = o + 94. List the prime factors of p. 2, 5 Suppose -65 = -7*m + 75. What are the prime factors of m? 2, 5 Let m(o) = -o**2 - 6*o + 12. Let t be m(-7). Suppose -31 + 0 = -4*r - t*n, -7 = -4*r + 3*n. List the prime factors of r. 2 Suppose k - z = -4*z, -4*z = -3*k + 26. Suppose k*n = n + 45. Suppose p - 14 = n. What are the prime factors of p? 23 Let c be (3 - 207/(-2))/(1/(-2)). Let o = 393 + c. What are the prime factors of o? 2, 3, 5 Suppose -3*m = q - 11317, 4*m - 69*q - 15088 = -71*q. What are the prime factors of m? 7, 11 Let c be (2 - 5 - -2) + 22. Suppose 0 = -22*l + c*l + 62. List the prime factors of l. 2, 31 Let p(f) = -f**3 + 6*f**2 + 8*f + 17. Suppose 0 = -2*m + m - 5*i + 17, 3*i + 1 = m. What are the prime factors of p(m)? 2, 3 Suppose -676 = 162*i - 164*i. List the prime factors of i. 2, 13 Suppose -2*c - h = -0*h - 1, -2*c = 2*h - 2. Suppose -o - y + 57 = c, 0 = -2*o - 3*y + 72 + 42. List the prime factors of o. 3, 19 Let f be 1*19 + 21/21. Suppose -f*r = -15*r - 120. List the prime factors of r. 2, 3 Let z = 21 + -24. Let j be z - 2/((-2)/21). What are the prime factors of j - (-1 - (0 - 0))? 19 Let q = -1263 + 2411. List the prime factors of q. 2, 7, 41 Let k = -1 - 12. What are the prime factors of 2/k + (9160/52 - -2)? 2, 89 Let q = -596 + 915. List the prime factors of q. 11, 29 Let y(c) = -9*c + 36. Let x be y(-6). Let q = -30 + x. What are the prime factors of q? 2, 3, 5 Suppose 97*n = 102*n - 1845. List the prime factors of n. 3, 41 Suppose q = -q + 4. Let l(w) be the first derivative of 11*w**3/3 + 7*w**2/2 - 9*w - 28. List the prime factors of l(q). 7 Suppose 31*y = -12*y + 12728. List the prime factors of y. 2, 37 Suppose -70 = -4*a - 2*h, -a + 5*a - 67 = -5*h. Let v = -18 - -14. List the prime factors of 0 + a - (-4 - v). 2, 3 Let p(m) = 3*m**2 - 6*m - 29. Let c(t) = t**3 + 11*t**2 - t. Let h be c(-11). What are the prime factors of p(h)? 2, 67 Suppose -437 = -4*u - 61. What are the prime factors of (u/(-8))/(2/(-8))? 47 Let q be ((-48)/(-4))/3 + 296/4. Let g(u) = u**2 - 3*u + 2. Let j be g(2). Suppose j*d - d = -q. What are the prime factors of d? 2, 3, 13 Let g(o) = -o + 64. Let y = -15 + 19. Suppose 0*z + y*z = 0. List the prime factors of g(z). 2 Let u be 3 + (-42)/(-24) - 1/(-4). Suppose -2*g + u*w + 241 = 0, 0 = -0*w + 3*w - 3. What are the prime factors of g? 3, 41 Let y be -2 + 50 + -3 + 0. Suppose 0 = 2*h - y - 137. List the prime factors of h. 7, 13 Suppose 4*b - 5 = 15. Suppose 3*a = -2*q + 286, 3*q - 495 = -b*a - 68. List the prime factors of q. 149 Suppose b = 6*b - 25. Suppose -4 = -m - 0, b*p - 48 = 3*m. Suppose -3*z = z - p, -t + 50 = 2*z. List the prime factors of t. 2, 11 Suppose -20 = -r + 109. Let y = r + -63. List the prime factors of y. 2, 3, 11 Let i(z) = 12*z**2 - 3*z + 1759. What are the prime factors of i(0)? 1759 Let d be (24/15)/(2/(-5)). Let p be 6/d + (-33)/(-6). Suppose 28 = 5*l - p*l. List the prime factors of l. 2, 7 Let z = -53 - -55. Suppose -4*f = z*f - 432. What are the prime factors of f? 2, 3 Let c be 1 + -61 - (1 - 2). Suppose -4*x - 5*x = -882. Let o = x + c. List the prime factors of o. 3, 13 Suppose 6059 = -25*m + 29*m - 5*u, -4*m + 6065 = u. List the prime factors of m. 2, 379 Suppose -5*h - 3 = -2*l, 0*h + 2*l - 1 = 3*h. What are the prime factors of h + (-10)/(-12) + (-21073)/(-78)? 2, 3, 5 Let a(v) = 92*v - 180. What are the prime factors of a(8)? 2, 139 Let i(z) = 23*z - 37. What are the prime factors of i(10)? 193 Let s = 5452 + -3577. List the prime factors of s. 3, 5 What are the prime factors of (-8)/68 + 74574/102? 17, 43 Let z = 20 + -40. Let t = -4 - z. What are the prime factors of t? 2 Let g(a) = a**2 - 3*a + 2. Let b be g(-3). List the prime factors of 2*(1665/b - (-1)/4). 167 Let y(d) = 6*d**2 - 2 + 4*d - 2*d**2 - d. List the prime factors of y(-3). 5 Let k be 10/30 + 196/(-3). Let j = -2 - k. List the prime factors of j. 3, 7 L
{ "pile_set_name": "DM Mathematics" }
2*k + 3*k - 3*k)*(2*k**2 + 4 - 4). 3*k**3 Expand (3*l**2 - l**2 - 4*l**2)*(-217*l - 7*l**3 + 217*l). 14*l**5 Expand 13 - 13 + 6*r**4 + (0*r + r + r)*(2 - r**3 - 2) + (-2*r**3 + 0*r**3 + 5*r**3)*(2*r - 2*r + 2*r) - 3*r**4 + 4*r**4 - 3*r**4. 8*r**4 Expand 4*a - 4*a - 3*a + (-2 + 3 + 0)*(2*a - 3*a + 2*a + (-1 - 2 + 6)*(a + 0*a - 2*a)). -5*a Expand (-4 + 4 + 2)*(-3 + 4 - 4)*(-3*v**2 - 3 + 3). 18*v**2 Expand -119*r**5 - 52*r**5 + 100*r**5 - r**3 + r**3 - r**5 + (-r**5 + 2*r**5 + r**5)*(1 + 0 + 1) - 2*r**4 + 2*r**4 + r**5. -67*r**5 Expand 2*u - u**2 - 2*u + (-u - 3*u - 3*u)*(u + u + 0*u) + 4*u**2 - u**2 - 4*u**2. -16*u**2 Expand (4 - 4 - a)*(2*a**3 + 2*a**3 - 2*a**3)*(4*a - 6*a + 5*a). -6*a**5 Expand -7*s**2 + 8*s**2 - 7 + 0*s**2 + (5*s - 2*s - 2*s)*(2 + s - 2). 2*s**2 - 7 Expand (-53*m**2 + 46*m**2 + 34*m**2)*((-2 - 2*m + 2)*(0*m - 2*m + 4*m) - 2 + 0 + 2*m**2 - m**2). -81*m**4 - 54*m**2 Expand (10*n - 8*n - 33*n)*(3 + 0 + 0). -93*n Expand (1 + 6 - 3)*(4*d - 2*d - 3*d)*(15*d**2 + 13*d**2 - 8*d**2). -80*d**3 Expand (-3*i**4 - 3 - 4 + 5)*(-2 - 3 + 0). 15*i**4 + 10 Expand (2 - 5 + 5)*(-2*q**4 + 0*q**4 + q**4) + 0*q**2 + 2*q**2 + 5*q**4 + q**4. 4*q**4 + 2*q**2 Expand (-3*r + r + 0*r)*(4*r - 4*r - 2*r**2) + 3*r**3 + 0*r**2 + 0*r**2 - 5*r + 5*r + 3*r**3. 10*r**3 Expand -h + h + h**4 + (h**4 + 4 - 4)*(6 - 1 + 16)*(-1 + 2 + 1). 43*h**4 Expand (-2*p**2 - 2*p**2 + 0*p**2)*(-20 - 9 - 16). 180*p**2 Expand 5*s**3 - 4*s**3 - 4*s**3 + (6*s**2 + 2*s**2 - 2*s**2)*(2*s - 6*s + 3*s) + s**3 - s**3 - 3*s**3. -12*s**3 Expand (7 - 2 - 3)*(1 - 2 + 3)*(11 - 11 - n**3). -4*n**3 Expand (-13*v**3 - 6*v**3 + v**3)*(-2 - 1 + 6). -54*v**3 Expand (4 + 2*d - 4)*(-4*d**3 + 3*d**3 - d**3 + (-3*d - 2*d**2 + 3*d)*(0*d - 4*d + 2*d)). 4*d**4 Expand (-1 + 3 + 1)*((0 - 2*d + 0)*(-1 - 1 + 1) - 6*d - d + 3*d)*(-d + d + d**4). -6*d**5 Expand (-q + 0*q - q)*(-2*q - 7*q**3 - q**3 + 11*q**3 + (0*q**2 + 0*q**2 - q**2)*(0 - 2*q + 0)). -10*q**4 + 4*q**2 Expand ((3 - 2 - 2)*(-4*f + 0*f + 5*f) + 1 - 2*f - 1)*(3 - 9 - 5). 33*f Expand (2*u**2 - 3*u**3 + 4 - 4)*(-18*u + 12*u + 13*u). -21*u**4 + 14*u**3 Expand (-5*c**2 + 0*c**2 + 3*c**2)*(c**2 + 3*c**2 - c**2)*(3*c - 12*c - 6*c). 90*c**5 Expand (-3*b + b + 0*b)*(-2*b**2 + b**2 + 0*b**2) + 10*b**3 - 3*b**3 - 3*b**3 + (b**2 - 2*b + 2*b)*(-3*b + 0*b + b). 4*b**3 Expand (2*x - 2 + 2)*(0 + 2 + 0) + 3*x - 2*x + x + (-x - 3 + 3)*(2 - 2 + 1) + x + 0*x - 3*x. 3*x Expand ((j + 3*j - 3*j)*(-4 + 3 + 0) - 6 + 6 + 10*j)*(4*j - 5*j + 2*j)*(4 + 0 - 2). 18*j**2 Expand r + 0*r + 0*r + 2*r - r - 2*r + 7*r + r - 4*r + (0 + r + 0)*(4 - 6 + 3). 5*r Expand (-2 + 3 + 0)*(3*s**5 + s**5 - 8*s**5). -4*s**5 Expand -2*s**2 + s**5 + 2*s**2 + 5*s**4 - 5*s**4 + s**5 - 2*s**5 + 4*s**5 + 0*s**5 + (4 - 2 - 1)*(s**5 + 0*s + 0*s). 5*s**5 Expand (-1 + 1 - c**2)*(c**2 - c**2 - 2*c**2) + (-c - c + c)*(-3 + 2*c**3 + 3) - c**4 - c**4 + 0*c**4. -2*c**4 Expand (0*j + 0*j + j**2 + (-2*j + 0 + 0)*(2*j - 2*j + 2*j) + j - j + j**2)*(2*j - 4*j + 3*j) - 5*j**3 - 5*j**3 + 0*j**3. -12*j**3 Expand (0*r - 3*r + r)*(7*r - 56 + 56). -14*r**2 Expand (2*x - x + 0*x)*(x - 5*x + 2*x)*(2 + 0 - 7) + x + x**2 - x. 11*x**2 Expand -522*v**2 - 38*v**5 + 522*v**2 + (0*v**5 + v**5 + 0*v**5)*(-2 + 5 - 2). -37*v**5 Expand -11*n**3 + 15*n**3 - 20*n**3 + (n**2 + 5*n**2 - 5*n**2)*(2*n - 3*n - n) + (2*n**2 + 2*n**2 - 5*n**2)*(-4*n + 2*n + 3*n). -19*n**3 Expand 2*v**3 - 2*v**5 - 2*v**3 + (4*v - 3*v**2 - 4*v)*(v**3 - 2*v**2 - 3 + 3). -5*v**5 + 6*v**4 Expand -57*m**3 - 507*m**2 + 507*m**2 + (-m**2 - 2*m + 2*m)*(-m + 3*m - 3*m) - 2*m**3 + 3*m**2 - 3*m**2 - m**3 + m**3 + 2*m**3. -56*m**3 Expand (k**2 + 0*k**3 + k**3 - 4*k**3 - 1)*(-3*k + 7*k + 2*k). -18*k**4 + 6*k**3 - 6*k Expand (2*s + 4 - 4)*(1 - 3 - 6). -16*s Expand (2 + 4 - 12)*(0 - 5 + 3 + 2*n**2). -12*n**2 + 12 Expand 6*m + 15*m - 10*m + (-2 - 2 + 1)*(2*m + 0*m - m). 8*m Expand 5*p**2 + 2*p**3 - 5*p**2 + (-2*p**2 - 4*p**2 + 4*p**2)*(57 - 57 - 29*p). 60*p**3 Expand (-51*s**2 + 51*s**2 + 13*s**3)*(s + 0*s + 0*s + (0 + 3 - 4)*(3*s - 5*s + 0*s)). 39*s**4 Expand (2 + 0*r + r**2 + r - 3)*(4*r - 2*r + 0*r). 2*r**3 + 2*r**2 - 2*r Expand (y**2 - 4*y**2 + y**2)*(-y**2 + 4*y - 4*y) + (y**4 + 4*y**4 - 2*y**4)*(4 + 0 - 2). 8*y**4 Expand (3*d**4 - 2*d**4 - 2*d**4 + (-d - 5*d + 4*d)*(2*d**3 - 3*d**3 - d**3) + d**4 - d**4 + 2*d**4 - d**4 + d**4 - d**4)*(0 + 1 + 0). 4*d**4 Expand 9*t**3 - 3*t**3 + 6*t**3 + (-5*t - 8 + 8)*(3*t**2 - 5*t**2 + t**2). 17*t**3 Expand (3*z + z**2 - 3*z)*(z + 2*z - 5*z + 1)*(2*z**2 + 2*z**2 + 3*z**2). -14*z**5 + 7*z**4 Expand (-2*x**2 + 0*x**2 + 0*x**2)*((-2 + 0 + 3)*(-5 - 4 + 5) - 1 + 4 + 2). -2*x**2 Expand (1 + 1 - 4)*(-4 - 9 + 7)*(-6 + 3 + 4 - 3*p**2). -36*p**2 + 12 Expand (8*y - 8*y + 12*y**3)*(3*y**2 - 4*y**2 + 3*y**2 + (3*y - 3*y - 2*y)*(4*y + 0*y - 2*y) - 3*y**2 + 2*y**2 - y**2 + 0*y + 0*y + y**2). -36*y**5 Expand (p - 1 + 1)*(p - p - 3*p) - 2*p**2 + 3*p**2 + p**2 + (-2*p**2 + 0*p**2 - 6*p**2)*(-2 - 2 + 6). -17*p**2 Expand (d + 7*d - 3*d + (-3 + 3 - 2*d)*(-2 + 1 + 0))*(0*d**2 + d**3 + 0*d**2 + (4 + 0 - 1)*(-2*d**3 + 0*d + 0*d)). -35*d**4 Expand (-1 + 1 + 2*f + 0*f - 3*f + 5*f + 2*f + 0 + 0 - 1 + 2*f + 1 + (-3 - 2 + 7)*(7*f - 2*f - 3*f) + 2*f + f - 2*f)*(-1 - 1 - 11). -169*f Expand (1 + f**2 - 3*f**2 + f**2)*(-f**3 + 3*f**3 + 3*f**3 + f**2). -5*f**5 - f**4 + 5*f**3 + f**2 Expand (20*p**4 + p - 16*p**4 - p**3 - 11*p**4)*(-4*p - 2*p + 4*p). 14*p**5 + 2*p**4 - 2*p**2 Expand (6*d - 4*d - 3*d + d - d - d + (-d - d + 3*d)*(-1 + 2 - 2) + d + 0*d - 4*d)*(-1 - 2 - 1). 24*d Expand (2 - 2 - 2*v**2)*(5*v - 3*v - v) + (-4*v**2 + 3*v**2 - v**2)*(0 + 0 - v) + 4*v**3 - 5*v**3 + 0*v**3. -v**3 Expand -3*w**3 + 6*w**3 - 6*w**3 + (4 - 2 - 1)*(-2*w + 2*w - w**3) - 2*w**3 - 2 + w - w. -6*w**3 - 2 Expand (-k + 0*k + 2*k)*(4*k - k - 4*k) - 11*k**2 - 3 + 5 + k + 8*k**2. -4*k**2 + k + 2 Expand 2*t**4 - 2*t**5 - 2*t**4 + (-t**3 + 2*t**4 + t**3)*(-1 - 2*t + 1) + t**4 - t**5 - t**4 - t**5 - 5*t**2 + t + 5*t**2. -8*t**5 + t Expand z + 2*z**2 - z + (-3*z + 2*z + 0*z)*(z + 4*z - 7*z)*(2 - 7 + 3). -2*z**2 Expand (4*v + v**3 - 5*v + v**3)*(-2*v - 5*v + 2*v). -10*v**4 + 5*v**2 Expand (3*w - 2*w - 3*w)*(0*w + 0*w - 2*w) - 5*w + 5*w + 3*w**2. 7*w**2 Expand (2*o**2 - o + o)*(3*o + 0 + 0 + (2 - 4 + 0)*(-2*o - 2*o + 0*o) + 3*o + 2*o - 3*o). 26*o**3 Expand (-4 + 5 + 1)*(-2*n - 5*n + 6*n)*(0 - 3 - 2). 10*n Expand (1 - 45*g - 6 + 48*g)*(3*g + 7 - 7). 9*g**2 - 15*g Expand 6*q - 14*q**2 - 4*q + 16*q**2 + (-2*q**2 + 5*q**2 - q**2)*(-5 + 5 - 2) + 4*q**2 - 3*q**2 + q**2 - 3*q**2 - 4*q**2 + 5*q**2 + 2*q**2 - q**2 - 3*q**2. -4*q**2 + 2*q Expand (-3*a**2 + 2*a**2 - 2*a**2)*(-26*a + 26*a + 5*a**2)*(0*a + 4*a - 5*a). 15*a**5 Expand (4 - 3 + 0)*(-41 - 11*h + 41). -11*h Expand -5*n**3 + 11*n**3 - 15*n**3 + (-3*n - 3*n + 5*n)*(n**2 - 5*n**2 + 3*n**2). -8*n**3 Expand (0 - 2 + 7)*(-1 - 2*c**2 + 1)*(-2*c - 1 + 1). 20*c**3 Expand (-940 - 4*i + 2*i + 968)*(2*i**3 + 3*i**3 - 4*i**3). -2*i**4 + 28*i**3 Expand (-j - 3*j + j)*(3*j + 3*j - 9*j). 9*j**2 Expand (-2*u - 4 + 4)*(2 - 2 - 2) + 25*u - 52*u + 130*u. 107*u Expand (5*j - 4*j - 3*j)*(3 - 5 + 3). -2*j Expand (2*l + l - l)*(-6 + l + 6 + (-1 + 1 + 2*l)*(-1 - 1 + 4) + 4*l - 4*l + l). 12*l**2 Expand (3609 - 3609 - 73*w)*(0*w + w + 0*w + 2) + 4*w**2 + w**2 - 3*w**2. -71*w**2 - 146*w Expand 5 - 2*h - 5 - 2*h + 0 + 0 + (6 - 2 - 3)*(-2 + h + 2). -3*h Expand -12 + 12 + 5*p**3 + (0*p + 0*p + p)*(-p**2 + 6*p**2 - 3*p**2) - p + p + 2*p**3. 9*p**3 Expand -3*c**5 + c**5 + 3*c**5 + (-1 + 1 - 2*c)*(c**4 + 2*c**4 - 4*c**4) - c**5 + 2*c**5 - 2*c**5 + c**4 - c**4 - 4*c**5. -2*c**5 Expand (0 - z**3 + 0)*(7*z + 2*z + 12*z). -21*z**4 Expand ((-2 - 2 + 5)*(3*r - 2*r - 2*r) + 1 + 3*r - 1)*(-1 + r**2 + 1) - 3*r**3 + 3*r**3 - r**3 - 5*r**2. r**3 - 5*r**2 Expand ((-3*k + k + k)*(-k + 3*k - k) + 8*k**2 - 8 + 8)*(-2*k**2 + k**2 + 3*k**2). 14*k**4 Expand (2 + 0 - 7)*(b - 3*b - 3 + 0*b). 10*b + 15 Expand n**2 + 2*n**2 - 4*n**2 + (0*n + n + 0*n)*(-2 - n + 2) - 2*n**2 + n**2 + 0*n**2 + n**2 - 4 + 1377*n - 1367*n + 3. -2*n**2 + 10*n - 1 Expand (v + 2*v - 2*v)*(-v + 1 - 1) + (-3 - v + 3)*(-3*v - 3*v + v). 4*v**2 Expand (2 + 4 - 3)*(1 - 1 + 2*p). 6*p Expand (-1 - p + 1)*(2*p**4 + 0*p**4 + 0*p**4) + p**5 - 3*p**5 + 11*p**5. 7*p**5 Expand (-1 - 3 + 0)*(-2 + l + 2)*(3 - 3 - 3*l**2). 12*l**3 Expand (3*k**
{ "pile_set_name": "DM Mathematics" }
76 divided by -131 853996 Calculate 23589792 divided by 7863264. 3 Calculate -38745752 divided by -1382. 28036 Divide -757423581 by 13288133. -57 350800244 divided by -87700061 -4 Divide 16587565 by -3317513. -5 Calculate -133095152 divided by 974. -136648 Divide -48696 by 289. -48696/289 Divide -5623819 by -10753. 523 Divide 747 by -31438. -747/31438 What is 2078154 divided by 6474? 321 290805 divided by 182 290805/182 What is -1 divided by 3832685? -1/3832685 361 divided by 10124 361/10124 59810352 divided by 146594 408 -12847553 divided by -1 12847553 -8963 divided by -750 8963/750 What is 126150018 divided by -2? -63075009 3915594 divided by 66366 59 What is 123 divided by -13917? -41/4639 Calculate -66747108 divided by -3. 22249036 59635 divided by -5 -11927 Calculate 132507928 divided by -136. -974323 Divide 0 by -257955593. 0 Divide -3 by 3190851. -1/1063617 Calculate 879 divided by 712927. 879/712927 Calculate -62614641 divided by 5077. -12333 What is 16651492 divided by -44? -378443 What is -13 divided by 1844894? -13/1844894 What is -30241748 divided by -1? 30241748 Divide 21 by 1208678. 21/1208678 Divide -2058648 by 3. -686216 Calculate -2610 divided by -11424. 435/1904 Calculate -19032768 divided by 576. -33043 -25302 divided by 254 -12651/127 -1311600 divided by 814 -655800/407 -15846746 divided by 6 -7923373/3 Divide 3980046 by -284289. -14 -961 divided by 5022 -31/162 What is 106897524 divided by 6? 17816254 Calculate 0 divided by -4556680. 0 Calculate -1556604 divided by 2556. -609 Divide 1632279855 by 326455971. 5 11110208 divided by -694388 -16 What is 892962 divided by 798? 1119 What is 58172 divided by 55? 58172/55 Calculate 25749 divided by -434. -25749/434 -20917725 divided by -6972575 3 Divide -8498475 by 5. -1699695 What is 12 divided by 6084219? 4/2028073 Divide 3845688 by 84. 45782 Calculate -4162653 divided by -6639. 627 Divide 46752706 by -3146. -14861 Divide -1849304 by 234. -924652/117 Divide -45823698 by 104382. -439 Calculate -25832115 divided by 10071. -2565 What is -10119987 divided by -11? 10119987/11 Calculate -5163422 divided by 22. -234701 Divide -66567789 by 1. -66567789 Calculate -1980940 divided by -19. 104260 Calculate 44988494 divided by 22494247. 2 What is 2950 divided by 655? 590/131 Calculate 27 divided by -16828794. -3/1869866 Divide -5825526 by 36. -970921/6 1833034920 divided by 3 611011640 Divide 1012482718 by 26. 38941643 -1 divided by -7149576 1/7149576 32510700 divided by 12 2709225 Calculate 124539081 divided by -165831. -751 132 divided by -26391 -44/8797 Calculate -114281 divided by -3. 114281/3 Calculate -4 divided by -117551. 4/117551 Divide -3007 by -244473. 3007/244473 Divide 716471448 by 238823816. 3 Calculate -1033914 divided by 239. -4326 1464672 divided by 24 61028 What is 21218104 divided by 5304526? 4 What is 3724067 divided by -5? -3724067/5 What is 14979750 divided by 5? 2995950 416383890 divided by 5338255 78 Divide 138251616 by 204. 677704 -531803480 divided by -1493830 356 Divide 6029 by -116443. -6029/116443 1773101 divided by 35 1773101/35 What is 19272662 divided by 61574? 313 What is -42835242 divided by -4247? 10086 Calculate 746806800 divided by -74680680. -10 77533 divided by -103 -77533/103 What is -5733 divided by -120? 1911/40 Calculate 169 divided by -631368. -169/631368 Divide -55299096 by 1. -55299096 76 divided by 8089719 76/8089719 What is 4 divided by -1480606? -2/740303 What is -18848304 divided by 28386? -664 Divide 266309764 by 38044252. 7 Calculate -137 divided by -11338. 137/11338 Divide 1700 by -1489. -1700/1489 Calculate -843033927 divided by 3. -281011309 Divide -19969 by -260. 19969/260 Calculate 558068270 divided by 5. 111613654 Divide -333235092 by -48351. 6892 What is 2695 divided by 350? 77/10 Divide 3517002 by 2. 1758501 -1462 divided by 16368 -731/8184 What is -1392903 divided by -9? 154767 Divide -25319064 by 2. -12659532 What is -24 divided by 95902? -12/47951 Calculate -487 divided by 2616. -487/2616 What is 132602574 divided by 66301287? 2 What is 1718230 divided by 5? 343646 What is -51976587 divided by 4? -51976587/4 What is -1863 divided by -892? 1863/892 160680055 divided by -32136011 -5 Calculate 724977 divided by 6. 241659/2 Divide -6 by -33884. 3/16942 What is 326365888 divided by -32? -10198934 -4 divided by -3153188 1/788297 Calculate 1541795550 divided by -3. -513931850 -2532538 divided by 68 -1266269/34 Divide 4846876 by 2423438. 2 What is 84610824 divided by -3? -28203608 Divide -186905610 by -17826. 10485 82601 divided by -952 -82601/952 Calculate -17806 divided by -73. 17806/73 Divide 591318 by 1083. 546 -6198810 divided by -3 2066270 What is -45507343 divided by 7? -6501049 Divide 2077716 by -10. -1038858/5 Divide -19916350 by -46862. 425 -322114397 divided by -2 322114397/2 90714 divided by -3 -30238 -12294342 divided by 1366038 -9 What is -12221862 divided by 45? -4073954/15 What is 1009 divided by 92893? 1009/92893 Divide -86036 by 5. -86036/5 Calculate -21591318 divided by 1542237. -14 Calculate 33988472 divided by 8497118. 4 Calculate -2318 divided by 28692. -1159/14346 What is 5015814 divided by 6? 835969 1242192077 divided by 7 177456011 Divide 627287 by -282. -627287/282 Calculate -12282 divided by -36055. 12282/36055 2078 divided by 152482 1039/76241 -173170466 divided by -799 216734 What is 27208846 divided by 2? 13604423 Divide -75782959 by -77567. 977 -7993 divided by 25424 -7993/25424 What is 13075 divided by 56103? 13075/56103 What is -3 divided by 15236412? -1/5078804 Divide 9963 by -3082. -9963/3082 Divide -1359976 by -679988. 2 What is -2759832 divided by -51108? 54 Calculate 25282057 divided by -30. -25282057/30 What is -195525 divided by -26? 195525/26 Calculate -112821355 divided by 5. -22564271 Calculate -83156406 divided by 6. -13859401 Calculate 72672 divided by -47. -72672/47 What is -67702624 divided by -176? 384674 Calculate 1018 divided by 940. 509/470 What is -4028792 divided by -4? 1007198 What is -90093024 divided by 168? -536268 Divide -587976 by 48998. -12 Divide 8 by 239907. 8/239907 Divide -16343457 by 1. -16343457 -52236025 divided by -6 52236025/6 What is -76445505 divided by -139245? 549 What is 395148534 divided by -30782? -12837 Calculate 114452 divided by 83. 114452/83 Calculate -3285328 divided by -1616. 2033 What is -28024 divided by 7498? -14012/3749 -18437140 divided by 1732 -10645 Calculate 813 divided by -342. -271/114 Divide -888000 by -5920. 150 Divide -138110049 by -199293. 693 80499250 divided by -3055 -26350 Calculate -53 divided by -50560. 53/50560 Calculate -66159864 divided by -4497. 14712 Calculate -1809939 divided by 4629. -391 Divide 11316 by -13612. -69/83 Calculate 3014739 divided by 47853. 63 Divide -131707575 by 26341515. -5 What is -23 divided by -1724111? 23/1724111 What is 61369272 divided by 20456424? 3 What is -1 divided by -4697389? 1/4697389 Divide 3 by -7974816. -1/2658272 What is -105152604 divided by -978? 107518 What is -752898580 divided by -9181690? 82 Divide 1 by -7283284. -1/7283284 Calculate -6 divided by 221779. -6/221779 Divide 0 by -2812234. 0 Divide 39585517 by 3. 39585517/3 Divide 98 by 3190257. 14/455751 -23 divided by 1071 -23/1071 -1596 divided by -15270 266/2545 Divide 2105824 by -7. -300832 Calculate 47962355 divided by -1043. -45985 3981315 divided by 15613 255 Divide 13061865 by -255. -51223 -6878213 divided by -8297 829 What is 1 divided by -5022745? -1/5022745 Calculate 8810 divided by -2803. -8810/2803 What is 7565350 divided by -73450? -103 What is -124185 divided by -2068? 124185/2068 Divide -3 by -5936633. 3/5936633 Calculate -24808401 divided by 2756489. -9 Calculate -3063 divided by -3693. 1021/1231 3776 divided by 22 1888/11 Calculate -19913117 divided by 48. -19913117/48 22338376 divided by 79496 281 133800975 divided by -14866775 -9 What is -24194334 divided by 3? -8064778 Calculate 24157070 divided by -4330. -5579 What is 4360 divided by -7536? -545/942 What is 24108943 divided by -41? -588023 Divide -1592133 by -3. 530711 What is 205 divided by 15778? 205/15778 Divide -33309615 by -2985. 11159 What is -962380 divided by 47? -962380/47 Calculate -48217772 divided by -31. 1555412 959838789 divided by -73833753 -13 Calcula
{ "pile_set_name": "DM Mathematics" }
-5*w - 38 = -l, -m*w = 2 + 3. Is l a multiple of 11? True Suppose 0*c + 68250 = 35*c. Is 13 a factor of c? True Let o(q) be the third derivative of -1/3*q**3 + 0 + 1/8*q**4 + 0*q + 2*q**2 + 1/20*q**5. Is 2 a factor of o(-2)? True Let z = 387 + -293. Is z a multiple of 4? False Suppose r + 3*c = 474, 2*c = -5*r - c + 2322. Is r a multiple of 11? True Let p = -28 - -36. Let x = p + 37. Is x a multiple of 13? False Suppose 2000 = -0*z + 4*z. Does 51 divide z? False Let i(y) = y**3 - 8*y**2 + 7*y - 1. Let u be i(7). Let f(z) = -294*z + 1. Let j be f(u). Suppose -w = -5*x + 208 + j, -2*w - 6 = 0. Is x a multiple of 23? False Does 10 divide 1348*(-4)/(-16) + 2? False Let f(k) = 8*k - 4. Let w = 21 - 21. Suppose 5 = -5*n - 2*j + 27, w = n - 2*j - 2. Is 17 a factor of f(n)? False Let z(t) = 3*t**3 - t. Let c be z(1). Is 16 a factor of (-1 + 5 + -24)/(c/(-15))? False Is 13 a factor of ((-30)/40)/((-3)/876)? False Let v(r) = -7*r - 2. Let c be v(6). Let b be c/(4*1/4). Let j = b - -81. Is 10 a factor of j? False Suppose 3*r + n - 8 = 0, 6*n - n = -2*r + 14. Suppose 4*m - 2*m = r*b + 120, -m - 5*b = -30. Is m a multiple of 19? False Let v(c) be the second derivative of c**4/3 + c**3/6 - c**2 - c. Is v(2) a multiple of 8? True Let f = -263 - -144. Let h = -51 - f. Is h a multiple of 12? False Let b(h) = 2*h**2 + 8*h - 5. Let r = -42 - -36. Is b(r) a multiple of 19? True Suppose 4*o = 5*s + 28, o + 2*s + 6 = -0. Suppose -o*k = -3*y - 103, 2*k - 5*y - 41 = k. Is k a multiple of 14? True Let o = -118 + 229. Is 7 a factor of o? False Suppose -2*w + 29 = -39. Let t = w - 11. Does 7 divide t? False Suppose -53 + 13 = -5*m. Suppose -m*y - 15 = -3*y, 5*r + 5*y = 1035. Let h = r + -103. Is h a multiple of 12? False Suppose -3*u + 285 = -0*u. Suppose -x + 4*w + u = 0, -3*x + 3*w - 11 = -278. Let q = x + -51. Does 8 divide q? False Let o(q) be the first derivative of q**3/3 + 3*q**2 - 10*q + 18. Does 15 divide o(-10)? True Let z(b) = 3*b**3 - 5*b + 2. Let f be z(-4). Let n = -541 - -816. Let g = n + f. Is g a multiple of 15? True Let w be (-6)/15*(-3 - 2). Suppose -w*j + 109 = -j. Suppose 3 = 3*u, 5*u + 16 = -2*p + j. Is p a multiple of 13? False Suppose 3*n = 2*n - 5. Let b = -3 - n. Is (-4)/b - 0 - -40 a multiple of 9? False Let q = -372 + 563. Does 4 divide q? False Is 76 a factor of 42/4*7560/147? False Is (-3 + (-3 - 6))/(6/(-20)) a multiple of 10? True Let a be ((-21)/12)/((-2)/8). Let z(c) = 4*c + c**2 - 2 + a*c - 7*c. Does 4 divide z(-7)? False Let a(g) = g + 23. Let m(u) = -u**2 + 10*u - 6. Let r be m(8). Suppose r - 39 = -3*c - 5*w, -2*c - 3*w = -20. Does 12 divide a(c)? True Suppose -5*k = 14 + 11, -2*k - 12 = -q. Suppose -10 = q*u - 7*u. Suppose -5*s - 4*t + 117 - 29 = 0, 0 = -t + u. Does 7 divide s? False Let z(c) be the second derivative of c**5/20 - 3*c**4/4 + c**3/3 - 7*c**2/2 - 7*c. Is z(9) a multiple of 2? False Does 9 divide 4/(-30) - (-106986)/495? True Is 24 a factor of (43 - 9)*(1 + 11)? True Let o(r) = -2*r - 19. Let m be o(-8). Let t(i) = -3*i**3 - 7*i**2 - 4*i - 2. Is t(m) a multiple of 7? True Is 13 a factor of (((-363)/(-4))/1)/(120/480)? False Suppose 182 = 21*u - 23*u. Let p be (-14)/u - 111/(-39). Suppose -p*g - 168 = -9*g. Is g a multiple of 14? True Let l be (-4)/12 - 3/(-9). Suppose l = -5*w + 54 + 91. Is 15 a factor of w? False Suppose b = 3*n + 6*b - 31, 4*n = -b + 13. Suppose a - 4*a + 427 = -5*u, -4*u = n*a - 292. Is a a multiple of 18? True Let m(t) = -2*t**2 + t + 3. Let o be m(2). Is (o + -11)*-1 + -1 a multiple of 13? True Let o(p) = -p + 1. Let r(b) = -30*b + 20. Let q(c) = 5*o(c) - r(c). Does 22 divide q(5)? True Suppose -4*l - 445 + 1117 = 0. Is 24 a factor of l? True Let x be (6 - 3) + 0 - -299. Let a = x + -177. Let j = a + -68. Is 19 a factor of j? True Let f(c) = 44*c**2 + c. Let w be f(-1). Suppose 0 = 2*x - 5*y + 5 + 20, x - y + 5 = 0. Suppose x = -5*b - 4*a + 137 + w, -2*a + 36 = b. Does 18 divide b? True Let d(j) be the first derivative of j**2 + 12*j - 5. Let o be d(-6). Suppose o*v - 98 = -2*v. Is v a multiple of 22? False Suppose -1 = -c - r + 1, r = -2*c + 4. Suppose -6*p + c*l + 174 = -4*p, 0 = p - 5*l - 75. Is p a multiple of 15? True Suppose 0 = -0*x - 2*x - 88. Let q be -1*6/4*x. Let g = -34 + q. Is 4 a factor of g? True Let k(d) = 7*d**2 + 4*d - 83. Is 3 a factor of k(7)? True Let t(j) = -256*j**3 - 4*j**2 - 2*j + 1. Let a be t(-1). Is ((-90)/25)/(-2 - (-507)/a) a multiple of 51? True Let m(q) = 20*q**3 - 2*q**2 + 2. Let j be m(2). Suppose 2*x = -0*x + 5*w + 148, 2*x - 2*w - j = 0. Is x a multiple of 18? False Suppose 5*c - 11240 = -2*s, 27*c + 2245 = 28*c + s. Does 25 divide c? True Suppose 10 = 5*j - 2*u, j - u - 2*u = 15. Suppose j = 4*h - 3*h - 44. Is h a multiple of 6? False Let k(m) = -m**3 + 17*m**2 + 6*m - 16. Is k(16) a multiple of 16? True Let i = -15 - -15. Suppose -2*k + 2*h + 250 = i, -h - h + 646 = 5*k. Is 32 a factor of k? True Let z(j) = 2*j**2 + 29*j + 1. Is z(-16) a multiple of 7? True Suppose t = 3*c - 19 - 75, -14 = -c - 4*t. Let o = c + 112. Is 6 a factor of o? False Suppose 5*y = -0*y - 5. Let i(l) = -32*l + 2. Is i(y) a multiple of 16? False Let f = 32 - 25. Suppose 0 = 5*o - f*o + 22. Is 5 a factor of o? False Let p be (5/(-3))/(2/(-6)). Suppose -2*i - 2*u + 180 = 0, 27 + 243 = 3*i + 4*u. Suppose 2*m + i = p*m. Does 6 divide m? True Is (-2)/((-36996)/(-64890) - (-12)/(-21)) a multiple of 15? True Is -24 + 15 + (-14)/(-2) - -2094 a multiple of 64? False Let b(k) = -k**2 - 9*k - 13. Let z be b(-6). Suppose -d + 118 = z*y, y + 564 = 5*d - 0*y. Is 4 a factor of d? False Let r(o) = -o**3 + 9*o**2 + 28*o - 20. Is 13 a factor of r(11)? False Let t(i) = 4*i**3 + 2*i**2 + 2*i + 1. Let m be t(-1). Let c(f) = f**3 + f**2 - 10*f - 11. Let j be c(4). Let w = m + j. Is w a multiple of 17? False Let r(q) = q**2 + 3*q. Suppose -2*y - y - 3 = 5*u, 0 = -2*y - 4*u. Let k be r(y). Does 13 divide (156/k)/(6/45)? True Let x be (3*2)/(-3 + 4). Suppose -2*s = -0 - x. Suppose s*p = 421 - 88. Is 13 a factor of p? False Suppose -t + 16 = 4*b + 3*t, -t - 26 = -4*b. Suppose m - b*m + 200 = 0. Is m a multiple of 7? False Suppose -2*x - 2*x - 2 = 3*j, -3*j - 3*x = 0. Suppose -10 = 2*o, 3*r + r - 26 = j*o. Let q = 16 - r. Does 6 divide q? True Let i = -99 - -102. Suppose -4*c + i*d + 300 = c, 0 = 2*d - 10. Is 9 a factor of c? True Let o(i) be the second derivative of -i**3/6 - i**2/2 + 18*i. Is o(-12) a multiple of 11? True Suppose -50*h = -110*h + 243540. Does 33 divide h? True Let v be 6/12 + 138/(-4). Let w = v + 22. Let a = -6 - w. Is a a multiple of 2? True Let s be 12/(-16)*(-8)/(-1). Let c(u) = 2*u**2 + 12*u + 28. Does 4 divide c(s)? True Let g(j) = 4*j - 1. Let n be g(-19). Let s = n - -132. Is 11 a factor of s? True Let i(l) = 8*l**2 - 2*l + 1. Let z be i(1). Let n = 11 - z. Suppose -70 = -n*r - r. Does 14 divide r? True Let m(i) be the second derivative of 5*i**3/6 + 3*i**2/2 + i. Suppose 3*a = -2*a + 20. Is m(a) a multiple of 9? False Let j be ((-19)/(-57))/((-561)/279 + 2). Suppose s - 72 = 4*s. Let w = s - j. Is w a multiple of 7? True Suppose -10*u = -8*u + 3*b + 262, -5*u = -4*b + 609. Let o = 166 + u. Does 3 divide o? False Is 37 a factor of (1184/12)/((-5)/((-75)/10))? True Let s(n) = n**2 - 22. Suppose 3*p + 5 = p + 3*i, -5*p - 65 = 3*i. Is s(p) a multiple of 39? True Let x be (-17 - -19)/(1/(-5)). Let o(z) = z**2 + 5. Is 10 a factor of o(x)? False Let h be (4/6)/(3/(-63)). Let g = h + 14. Suppose -5*n = -5*b - 0*b - 230, -5*b = g. Is n a multiple of 15? False Let u(y) = 0*y + 6*y - 3*y + 11 - 5*y. Let p be u(6). Is p/((-192)/188 + 1) a multiple of 18? False Suppose -226 = -3*l - 5*y, 2*y + 343 = 5*l - 13. Let s = 168 - l. Is 17 a factor of s? False Let c = 1291 + -772. Does 17 divide c? False Let h = -15 - -20. Suppose h*d - 4*b - 35 = -b, 5*b = -4*d + 65. Suppose -7*w + d*w - 72 = 0. Does 12 divide w? True Let x be (3/2)/((-2)/92). Let n be ((-1332)/10 - -8) + (-1)/(-5). Let d = x - n. Is d a multiple of 14? True Let o(a) = 142*a**3 + 4*a**2 - a - 3. Does 4 divide o(1)? False Let f(p) = p - 13. Let s be f(9). Let d be s/2 + 48 + -1. Suppose 0 = -6*r + 11*r - d. Is 3 a factor of r? True Suppose 2*i = -4*m + 8, m = -5*i - 2 + 13. Let z be i/3 + (-1442)/(-42). Is 7 a factor of (-2 + (-12)/(-
{ "pile_set_name": "DM Mathematics" }
et f = 0.024 - 0.024. Which is the biggest value? (a) 0.2 (b) f (c) 0.7 c Let g = 0.1 + 0.2. Let u = 0.07 - -0.93. Let i = -0.8 + u. Which is the second smallest value? (a) i (b) 5 (c) g c Let g = 1.39 - 0.39. Let m be (-1 - 0) + 711/(-40). Let r = m - -92/5. Which is the biggest value? (a) r (b) -2 (c) g c Let q be -5 - (1 + 4)/5. What is the second smallest value in q, 3, 2/13? 2/13 Let h = -42 + 42.7. What is the third smallest value in -1/2, h, 4? 4 Let u = -4.88 + -0.12. Let c = -16 + 18. Let x = -2.4 + c. What is the biggest value in u, x, 0? 0 Let x(s) = s**3 + 10*s**2 - 12*s - 11. Let k be x(-11). Suppose -o + k*f + f = 1, 19 = -5*o - 2*f. What is the third smallest value in 4, 3/7, o? 4 Let h = 9 + -8.5. Let q = 599 + -22165/37. Let x = -45/148 - q. What is the third smallest value in -3, h, x? h Let o = 152.14 + -152. Which is the second smallest value? (a) o (b) -1 (c) 0.4 a Let i = 4.4 - 4.59. Let f = -0.01 + i. Which is the third biggest value? (a) f (b) 2 (c) -1/6 a Suppose -8 = -n + 2*j - 5*j, -n + j + 8 = 0. What is the smallest value in n, -5, 4? -5 Let l be 9/(((-36)/8)/3). Let j be (-4)/(-4) - (-3)/l. Which is the smallest value? (a) 1 (b) 3/5 (c) j c Let m = 5 - 5.05. Let c = -0.55 - m. What is the second smallest value in -2/3, c, 2/3? c Let u be 1/7 + (-8)/14. Let d(h) = -6*h + 1. Let w be d(1). Let t be (4/(-55))/(-2)*w. Which is the second smallest value? (a) -2/3 (b) u (c) t b Let h(o) = -o**3 + 8*o**2 - 8*o + 5. Let s be h(7). Let z = 1 + s. Which is the second smallest value? (a) -0.3 (b) 2/19 (c) z a Let v = -1.3 + -13.7. Let g = -11 - v. Let u = -1.5 - -1. What is the second smallest value in 0.2, u, g? 0.2 Let r = -66 + 65.96. What is the smallest value in r, -4, -3? -4 Let d = 2.3 - 7.3. What is the third biggest value in d, -3, -1, -0.5? -3 Let s = 1.7 + -0.7. Which is the second smallest value? (a) -1 (b) 2/9 (c) s b Suppose -3*d + 5 = -10. Suppose d = -3*t - 4. Suppose -i + 0*i + s = 1, 3*s = -5*i - 13. Which is the third smallest value? (a) -4 (b) i (c) t b Let s = -7.5 - 1.5. Let v = 3 + s. Let q = 10 + v. Which is the second smallest value? (a) q (b) -5 (c) 1/7 c Suppose -3*f - 6 = 0, 10 = -q - f - 3*f. Let i be q/(-8)*(-16)/(-18). What is the third biggest value in i, 0, 5? 0 Let m = 9 - 3. Suppose 0 = m*c - c. Let i = -1.4 + 3.4. What is the biggest value in -3, i, c? i Let k = 54 - 49. Which is the third smallest value? (a) k (b) -3 (c) 2 a Let g = 4.74 + 0.26. What is the smallest value in -5, g, 0.1? -5 Let h = 0.05 - 0.15. Let s = 2 - 7. Which is the biggest value? (a) -4 (b) h (c) s b Let v = 13 + -6. Let q = v - 2. Which is the third smallest value? (a) -0.5 (b) q (c) 0.5 b Let x = 19/23 + -3622/69. Let m = x + 53. What is the smallest value in m, -0.1, -1? -1 Let n = 3323/6 - 556. Let f = n - -3/2. Which is the second smallest value? (a) -1/5 (b) 2/11 (c) f a Let j = 56 + -60. Which is the biggest value? (a) -3 (b) -1/3 (c) j (d) 2 d Let y = -50.3 + 50. Let i = 11 - 16. Which is the second biggest value? (a) i (b) y (c) 0 b Let s be 2 - (-2 + 3 + 3). Which is the second biggest value? (a) s (b) -4 (c) 1 (d) 2 c Let s = 6 - 10. Let n = 49 - 49.2. What is the third smallest value in -3, n, s? n Let o = 13/6 - 49/24. Which is the biggest value? (a) 5 (b) 2 (c) o (d) -1 a Let w be (-30)/(-2 + -2 + 5). Let r be (-3)/(-15) - (-11)/w. Let t = 0 + -0.3. Which is the biggest value? (a) -4 (b) r (c) t b Let g = -290.4 - -290. Let t = 0.2 + -0.25. Which is the smallest value? (a) g (b) -1 (c) t b Suppose 2*u = -2*u + 12. Suppose -2*i + 5*i = u*m + 12, 4*i - m = 13. What is the second smallest value in 4, i, 0? i Let q = -4 - -4.1. What is the third smallest value in q, -4, 0.2? 0.2 Let p be (2 + -20)/(-3) - 0. Let n be 1/(22/p - 3). What is the second smallest value in n, -0.4, 3? n Let p = -1 - 2. Let l = 8 + p. What is the third biggest value in 0.4, l, -2/15? -2/15 Let f = 2.2 + -2. Let w = f + 0.4. Let r = 0.4 + w. What is the third biggest value in -1/4, r, -5? -5 Let j = 2 + 10. Let v be 2 - (9/j + 1). What is the smallest value in 0.5, 1, v? v Let x = -0.037 - 8.963. What is the biggest value in -0.2, 4/7, x? 4/7 Suppose 6*k = k. Suppose p - 14 = 3*g, 0 = -k*g - 4*g - 16. Which is the third biggest value? (a) 5 (b) 3 (c) p c Let r(l) = l**3 - 4*l**2 + l - 3. Let o be r(4). Let h = -0.5 - -0.8. What is the third biggest value in h, o, 0.4? h Let r be (-63)/162*3 - 1/(-2). Let n = 0.1 + -0.2. Which is the third smallest value? (a) r (b) n (c) 2 c Let c be ((-3)/24)/(1/(-2)). Let k(s) = -s - 3. Suppose 3*o = -2*a - 3, 3*a + o + 10 = -5. Let q be k(a). What is the biggest value in q, c, 4? 4 Let q = -1 - -0.4. Let p = 0.63 + q. Let d = p - 0.33. Which is the biggest value? (a) d (b) 2/5 (c) -3 b Let g = -1.9 - -2. Let r = 4.1 - g. Let x = 2 + -1.5. Which is the second biggest value? (a) x (b) -4 (c) r a Let f = -1.7 + 1.68. What is the second smallest value in 0, f, 1? 0 Let g(f) = 2*f + 2. Let k be ((-1)/1)/((-3)/(-15)). Let i be g(k). Let z be (-5)/(-10)*i/30. What is the smallest value in z, 2/7, -1/2? -1/2 Let i = 339/10 - 67/2. What is the smallest value in i, -2/9, -2? -2 Let x = 26 + -22.9. Let u = 3 - x. What is the second biggest value in 1/3, 2/11, u? 2/11 Let z = -19 + 19.5. Which is the third smallest value? (a) z (b) 1 (c) 3/5 b Let a be (-7)/28*9/(-15). Let o = -47/20 - a. What is the biggest value in o, -2/9, 1? 1 Let t = 0.093 - -0.007. Which is the third smallest value? (a) -2 (b) t (c) 4 (d) -0.2 b Let l = -0.09 + 0.19. Let o = -5.02 - -0.02. Which is the smallest value? (a) o (b) l (c) 2/9 a Let m = 0.43 - 0.63. What is the third biggest value in 1, 2/15, m? m Let q = -2 - -1.9. Let z = 44 - 48. Which is the second smallest value? (a) -4/7 (b) q (c) z a Let o = 5 - 17/3. Which is the second smallest value? (a) o (b) 2 (c) -0.1 c Suppose 2*k - 10 = 2*d + 8, -2*k = -3*d - 23. Let p = k + -7. Suppose -4*h - 3*x + 11 = 0, 14 = 5*h + 4*x - 0. What is the biggest value in h, p, 4? 4 Let g = -15.5 - -12. Let l = g - -3. Which is the third smallest value? (a) 0.1 (b) l (c) -0.3 a Let j = 11 + -11. Which is the second biggest value? (a) 2 (b) -9 (c) j (d) 0.2 d Let q = 12 + -17. Let h = 4.189 - -0.011. Let i = h - 0.2. Which is the second biggest value? (a) i (b) -2 (c) q b Let u = 13 - 11. Let l = 2.2 - 2. Let r = -0.9 - 0.1. Which is the smallest value? (a) l (b) r (c) u b Let g = -101 - -97. What is the fourth biggest value in 0.5, g, -5, -2/5? -5 Let x = 3 - 5. Let l = 3 - 0. Which is the second smallest value? (a) l (b) x (c) -0.1 c Let f = 3.4 - 13.4. Let b = f + 12. Suppose 0*z = -z. What is the biggest value in z, b, 0.5? b Suppose -1 = 3*t - 2*p, -5*t - 5*p - 5 = 5. Which is the second biggest value? (a) 0.1 (b) 2 (c) t a Let k = 25 + -31. Which is the smallest value? (a) 2 (b) k (c) 5 b Let f be ((-48)/28 - -2) + (-90)/21. What is the smallest value in 2, f, -2/23, 0.4? f Suppose -48 = 5*l + 27. Let g be (-15)/4*6/l. Which is the third biggest value? (a) -0.5 (b) g (c) 0 a Suppose z + 4*o - 3*o = -6, -z + 10 = -3*o. Suppose -y + 0*y + 18 = 0. Let h be 2 - 1 - y/30. What is the second biggest value in 1/3, h, z? 1/3 Let v = -4.4 - -4. Which is the biggest value? (a) v (b) 1/6 (c) -8 b Let k = 9.2 + -16. Let l = 8 - 1. Let w = l + k. What is the third biggest value in -2, w, -3? -3 Let p = 7 - 9. Let w = p + 6. Which is the second biggest value? (a) w (b) -5 (c) -3 c Let k = -4.96 - 0.04. Let v = 0.18 - 4.18. Which is the second smallest value? (a) v (b) 4 (c) k a Suppose 2*z + 18 = 2*r - 0*z, -3*z = 3. Let v be ((-1)/10)/(4/r). Which is the third biggest value? (a) 2/7 (b) v (c) 1 b Let m = -1752/11 + 8332/99. Let c = m + 75. What is the second biggest value in -3, c, 3? c Let m = -2.5 + 2. Let y = 1 - -0.4. Let c = y + -1.2. What is the biggest value in 2/5, m, c? 2/5 Suppose 4*d - 9*d = -25. What is the third smallest value in 0.1, 0, 0.4, d? 0.4 Let d be 3314/(-44) + 1/(-2). Let u = -165 - -89. Let h = d - u. What is the second smallest value in 2, h, 0.4? 0.4 Let j = 42 + -25. Let t = j + -16. Which is the third smallest value? (a) -1/9 (b) t (c)
{ "pile_set_name": "DM Mathematics" }
34? -213019 What comes next: 9099, 36477, 82275, 146631, 229683? 331569 What is the next term in -3971, -3445, -2527, -1217? 485 What comes next: -6103, -24462, -55065, -97912, -153003? -220338 What is next in 1534670, 1534663, 1534656, 1534649? 1534642 What is the next term in -5807692, -11615383, -17423072, -23230759, -29038444, -34846127? -40653808 What is the next term in -31547, -125851, -282903, -502703, -785251, -1130547? -1538591 What is the next term in 668, 1909, 3724, 6113, 9076, 12613, 16724? 21409 What comes next: -5888579, -5888435, -5888289, -5888141, -5887991? -5887839 What is next in -94198, -94208, -94218, -94228? -94238 What is the next term in -376, 19609, 52918, 99551? 159508 What is the next term in 425313, 850623, 1275917, 1701183, 2126409? 2551583 What is next in 330, -563, -3852, -10737, -22418? -40095 What is the next term in -6165, -18658, -37481, -62640, -94141? -131990 What is next in -91067, -91051, -91021, -90971, -90895, -90787, -90641? -90451 What comes next: -5103, -20508, -46301, -82578, -129435, -186968, -255273? -334446 What comes next: 5138199, 5138239, 5138279? 5138319 What is next in 36496, 292003, 985528, 2336083, 4562680? 7884331 What comes next: -40612, -158925, -356114, -632179, -987120, -1420937? -1933630 What comes next: -18722, -18218, -17708, -17186, -16646? -16082 What is the next term in -1525428, -1525451, -1525476, -1525503, -1525532, -1525563? -1525596 What is the next term in -93214, -93408, -93600, -93790, -93978, -94164, -94348? -94530 What comes next: -3611, -16732, -38503, -68846, -107683, -154936, -210527, -274378? -346411 What is next in -1113737771, -1113737770, -1113737769, -1113737768? -1113737767 What comes next: -264, -488, -650, -726, -692, -524, -198? 310 What is next in 11065, 11075, 11085, 11095, 11105? 11115 What is the next term in 61856, 248278, 559262, 994802, 1554892? 2239526 What is next in -1914994, -3829982, -5744970, -7659958, -9574946, -11489934? -13404922 What is next in -330885, -330090, -329295, -328500, -327705? -326910 What comes next: 1057919, 1057935, 1057965, 1058015, 1058091, 1058199, 1058345, 1058535? 1058775 What is the next term in -1400, -2140, -2890, -3650? -4420 What comes next: 194277, 194432, 194587, 194742, 194897? 195052 What comes next: 1989132, 3978294, 5967456, 7956618? 9945780 What is the next term in -189142, -189110, -189078, -189046? -189014 What is next in 57572, 115015, 172458, 229901, 287344? 344787 What is the next term in -787535, -787544, -787549, -787550? -787547 What is next in 69573, 278274, 626105, 1113066, 1739157, 2504378? 3408729 What comes next: 25592, 51124, 76596, 102008, 127360, 152652, 177884? 203056 What is the next term in -736, -1608, -3066, -5110? -7740 What is next in -425971, -851903, -1277835, -1703767? -2129699 What comes next: 518, 2253, 5146, 9197? 14406 What comes next: 6636058, 6636079, 6636088, 6636079, 6636046, 6635983, 6635884, 6635743? 6635554 What is the next term in 145327, 145268, 145209? 145150 What is the next term in 37297343, 74594662, 111891981, 149189300? 186486619 What comes next: -26619, -53223, -79745, -106125, -132303, -158219, -183813? -209025 What is the next term in 10902, 20602, 30306, 40014, 49726, 59442, 69162? 78886 What comes next: 94986, 188314, 281642, 374970, 468298? 561626 What is the next term in 3838, 6908, 9978? 13048 What comes next: 330441, 330682, 331073, 331602, 332257? 333026 What comes next: 981, 3695, 8145, 14331, 22253, 31911? 43305 What is the next term in 11445, 22648, 33847, 45042, 56233, 67420, 78603? 89782 What comes next: 1881, 4188, 10441, 22614, 42681, 72616, 114393, 169986? 241369 What is next in 3785, 6451, 9117, 11783, 14449, 17115? 19781 What is next in 5882, 5731, 5580, 5429? 5278 What is next in 11727, 11555, 11275, 10893, 10415? 9847 What is next in -3227, -6313, -9109, -11471, -13255, -14317, -14513? -13699 What comes next: 9052, 8665, 8202, 7627, 6904, 5997, 4870, 3487? 1812 What is the next term in 489, 1920, 4337, 7770, 12249, 17804, 24465? 32262 What comes next: 8528, 34515, 78082, 139223, 217932, 314203, 428030? 559407 What comes next: -280, -1957, -4948, -9253, -14872, -21805, -30052? 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-145506 What comes next: 1326, 5799, 13340, 23961, 37674, 54491, 74424, 97485? 123686 What is next in -20197, -20147, -19997, -19699, -19205, -18467? -17437 What is next in 9321, 22337, 39045, 59445? 83537 What comes next: 2005, 3953, 5833, 7639, 9365, 11005? 12553 What is next in 681324, 1362656, 2043988? 2725320 What comes next: 8712, 34311, 76802, 136197, 212508, 305747? 415926 What comes next: -40362364, -80724719, -121087066, -161449405, -201811736, -242174059, -282536374? -322898681 What is next in -204848, -409703, -614564, -819431? -1024304 What is next in 81070, 162118, 243166, 324214, 405262, 486310? 567358 What is the next term in -41010, -42230, -43448, -44664, -45878, -47090, -48300? -49508 What is next in 7083578, 14167153, 21250728, 28334303, 35417878? 42501453 What comes next: -119929, -245057, -370185, -495313, -620441? -745569 What is next in -278496, -278601, -278706, -278811, -278916? -279021 What is next in -670464, -1340925, -2011386, -2681847, -3352308? -4022769 What is next in 26656200, 53312401, 79968602, 106624803, 133281004, 159937205? 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{ "pile_set_name": "DM Mathematics" }
e 3*q = -3*f + 3, -q - 4*q - 11 = -3*f for q. -1 Solve 3*h + 3*r = -r - 25, 11 = -5*h + r for h. -3 Solve 12 = 4*z + 4*o, 51 = -5*z + 3*o + 66 for z. 3 Solve 36*m = 4*a + 39*m + 10, -18 = 4*a - m for a. -4 Solve 0 = -23*f + 26*f + 4*z, -2*f = -z + 11 for f. -4 Solve h + 2*k - 14 = 0, -3*k = 4*h - 31 + 5 for h. 2 Solve -3*j + 8 = -4*b, 0 = -j + 2*b + 4 for j. 0 Solve 5*s + 4*c = -26, -32*c + 16 = -2*s - 28*c for s. -6 Solve -3*y = -3*i - 6, -35*i + 40*i = 4*y - 10 for i. -2 Solve -4*y - 2 = -2*s, -3*s - 4*y + 6*y - 9 = 0 for s. -5 Solve -2*x - 6 = 5*s - 0*x, 0 = -4*s - 2*x - 6 for s. 0 Solve 7*u + 3*w = -17, -4*u = -2*w + 7 - 1 for u. -2 Solve -2*o = 4*q - 14, 0 = -7*o + 4*o - q + 6 for o. 1 Solve -12*i = -5*r - 9*i - 28, 0 = 3*r - i + 16 for r. -5 Solve 78*f - 80*f = -b + 7, 6*f + 5*b = -13 for f. -3 Solve -2*p = -0*k - 5*k + 6, -10 = -2*p - 3*k for p. 2 Solve 3*i - 8*x - 3 = -9*x, -5*i + 2*x + 16 = 0 for i. 2 Solve 0 = 10*f - 9*f - 4*n + 8, -f + 6 = 3*n for f. 0 Solve -24*w + i - 2 = -27*w, 0 = 3*w + 4*i - 8 for w. 0 Solve -3*k + 1 = -4*k, 3*x + 5 = -2*k for x. -1 Solve 0 = -3*z - 3*u - 12, -3*z = 5*u + 22 for z. 1 Solve 0 = 2*i - 86*s + 87*s - 10, -5*i + s + 25 = 0 for i. 5 Solve 6 = -0*w - w + 2*y, 2 = 4*w + 5*y for w. -2 Solve -y + d = -4, -18*d - 12 = 5*y - 15*d for y. 0 Solve k - 15 = -4*j - 4, -k + 9 = 3*j for j. 2 Solve -3*p - 4*w = 2, -11*p + 12 = -6*p - w for p. 2 Solve -5*f = -2*t + 9, -4*t = -5*f - 177 + 164 for t. 2 Solve 30 = -5*d + 5*v, -34*d + 29*d = v + 12 for d. -3 Solve -44 = 5*d + 3*b - 17, -4*d - 2*b = 20 for d. -3 Solve 115*v - 111*v + 11 = -t, 2*t = 4*v + 2 for v. -2 Solve 3*b - 9*q + 10*q = -14, -10 = 2*q for b. -3 Solve 1 = j + 5*w, 2*j - 4*j - 3 = 5*w for j. -4 Solve -12 = 4*q - 3*f, 36 - 21 = -5*q - 5*f for q. -3 Solve -3*t + 3*u + 3 + 0 = 0, 2*t + 23 = -3*u for t. -4 Solve 2 = -5*r - 8, -4*r - 11 = 3*j for j. -1 Solve 14*n - 16*n = 2, 0 = 2*d + 5*n - 5 for d. 5 Solve -2*l - 5*c - 35 = 0, -91*l = -92*l - 2*c - 14 for l. 0 Solve -5*b + 17 = -4*z, 3*b + 5 = 8 for z. -3 Solve 3*t + 3*x = 5*t - 1, 5*x = 15 for t. 5 Solve 2*y = -2*t + 2 - 6, 4 = 3*y - 2*t for y. 0 Solve -4*b - 17*x = -20*x - 18, 5*b - 5*x - 25 = 0 for b. 3 Solve -4*n + 0*n = 4*y, -y = -n - 6 for y. 3 Solve 2*i = -5*v + 2*v + 9, 5*i + 3 = v for i. 0 Solve -2*h + 2 = -3*b - 7, 5*b = -h - 2 for b. -1 Solve 3 = 3*v - 0*v + 2*w, 0 = -v + 4*w - 13 for v. -1 Solve 5*u = -5*n + 5 + 25, 5*u + n = 14 for u. 2 Solve 0 = 4*y - 4*b - 12, -b + 6*b = 3*y - 19 for y. -2 Solve 5*v + 31 = -3*r, -4*r - 28 = 18*v - 14*v for r. -2 Solve 2*i + 23 = 5*p, -p - 2*p + 9 = 0 for i. -4 Solve -b + 0*b - 40 = -5*f, 0 = 3*b + 2*f + 1 for b. -5 Solve 3*v = 5*c + 15, c = -v - 0 - 3 for c. -3 Solve i + 33 = 5*b + 3*i, -2*b + 14 = i for b. 5 Solve -4*y - 14 = -3*h, 2*h + 3*h + y - 8 = 0 for h. 2 Solve -3*q + 5*s = 18, 2*s = -q + 36 - 31 for q. -1 Solve -s + 5*s - 5 = -5*d, -2*s = -10 for d. -3 Solve -3*r - 1 = -3*o - 25, -2*r + 22 = -4*o for o. -3 Solve 5*s = 20, 0 = i - s - 2 + 5 for i. 1 Solve -12*p - 1 = -14*p - r, 0 = 5*p + r - 4 for p. 1 Solve 4*d = -35 + 15, -5 = -5*f - 2*d for f. 3 Solve 0 = -3*n + 3, 3*j + 3*n - 6 - 6 = 0 for j. 3 Solve -378*d = -382*d + 5*x - 7, d + 2*x = 8 for d. 2 Solve -116*l + 3*d = -120*l - 3, 5*l = -4*d - 5 for l. 3 Solve -4*f = 3*k - 0*k - 3, k = -4*f + 9 for f. 3 Solve 6*a = 3*a - 6, -6 = i + 3*a for i. 0 Solve -2*p + 12*d + 12 = 7*d, 2*p = d - 4 for p. -4 Solve 2*w + n = 5*w + 12, -18 = 5*w - n for w. -3 Solve -2*i - w - 3 = 0, 6*w = w + 5 for i. -2 Solve q = 2*u - 7, 4*q + 2 = 2*u - 2 for u. 4 Solve d + 7 = -47*n + 42*n, 2*n + 16 = 4*d for n. -2 Solve 0*a - 2*j + 7 = 3*a, -5*j = -10 for a. 1 Solve g + 5*c + 27 = 0, -7*c - 15 = -4*c for g. -2 Solve 2*z = -3*h - 15, -2*z = h + 6 + 3 for h. -3 Solve -2*d + 4*t = -5*d - 4, 2*t + 2 = -d for d. 0 Solve -2*h - 35 = 5*f, 0 = -5*h + 14*f - 9*f for h. -5 Solve -w = -2*y - 0*w + 5, -3*w - 15 = -y for y. 0 Solve -m - g + 1 = 0, 2*g - g - 5 = 0 for m. -4 Solve 2*b - 5*i + 7 = 0, -2*b - 3*b - 3*i = -29 for b. 4 Solve 5*s + 9 = -3*b, s + 12 = -3*s - 4*b for s. 0 Solve -17 = -0*w - w - 4*k, -4*w - 2*k = 2 for w. -3 Solve -7*z - 35 = 2*o - 2*z, 0 = 2*o + 3*z + 25 for o. -5 Solve h = 4*d + 1, d = -4*d - 4*h - 17 for d. -1 Solve -r = -5*n - 1, 0*r = -r - 2*n - 6 for r. -4 Solve -3*f = -5*v + 16 + 12, 0 = -4*f - 4 for v. 5 Solve 8 = f + 4*i, -i + 5 - 3 = -f for f. 0 Solve -g = 3*r + 7, 2*g + 0 + 8 = -3*r for r. -2 Solve 23*o - 26*o = -4*n + 24, -3*n - 2*o + 1 = 0 for n. 3 Solve 10 = 4*w - 5*c - 19, -w + 21 = -4*c for w. 1 Solve -v + 17 = 4*l, -5*v - 5*l = -2*l - 17 for v. 1 Solve 3*p + 7 = -2*q - 18, -3*q - 35 = 4*p for q. -5 Solve 4*h = 3*y - 25, -4*y + 4*h = -h - 32 for y. 3 Solve 4*w = -12*m + 11*m + 18, 4*m - 4*w + 28 = 0 for m. -2 Solve 5 = 2*m + g, 12 = -62*m + 59*m + 5*g for m. 1 Solve -2*z - 3*u = -z - 19, u + 15 = 5*z for z. 4 Solve -43*r = -42*r + k, -6 = r - k for r. -3 Solve 5*n - 25 = u, 3*u - 14*n + 18*n - 39 = 0 for u. 5 Solve 2*d + 2*h = 14, -3*d + 5*d + 4*h = 22 for d. 3 Solve 12 = 2*h + 2*i, -4*h + 0 = -3*i + 11 for h. 1 Solve 4*y + 110 = -2*d + 100, -3*y = 2*d + 5 for y. -5 Solve 3*n + 2*t + 2*t = 16, -5*n + t + 19 = 0 for n. 4 Solve 4*q + 4*h = 8, 0 - 2 = -4*q + 2*h for q. 1 Solve -3*u + 13 = -3*s + 5*s, -s = 4*u - 19 for u. 5 Solve -4*n = -4*d + 4 - 8, -33 = -5*n - 2*d for n. 5 Solve 0 = 2*y - 7*y + 4*c + 3, c = 3*y + 1 for y. -1 Solve -t = -11*n + 9*n - 9, -2*n = -5*t + 21 for n. -3 Solve u - 2*w = 6, 2*u - 14 = u + 4*w for u. -2 Solve -5*j = 4*c + 20, 12*j - 9*j + 5*c = -12 for j. -4 Solve q - 4 = -w, -5*w + 7 - 2 = 0 for q. 3 Solve 3*n + 4*j + 20 = -2*n, 2*n = -2*j - 10 for n. 0 Solve -3*c + 22 = 13, 29 = -2*q + 7*c for q. -4 Solve 4*q + 2*i - 10 = 0, 0*i - 3 = -3*q - 3*i for q. 4 Solve 3*c + 4*q + 10 = 0, -2*q = -2*c + 35 - 23 for c. 2 Solve 3*w - 2 = -u, -5*u + 4*w = 6 + 22 for u. -4 Solve 3*p - 3*f = 6, 3*f + 2 = p + p for p. 4 Solve -f - 5*v = -28, -6*v + 10*v - 32 = -4*f for f. 3 Solve 4*d = 3*h - 15, d = -h - 3*h + 1 for d. -3 Solve 0*i = -4*i - 5*w - 20, 3*i - 7 = -w for i. 5 Solve 5*x = -2*p - 18, p - 4*p - 5 = 2*x for p. 1 Solve 3*r = 6*r - 4*b - 18, 0 = 4*r - 3*b - 10 for r. -2 Solve 18 = 2*z - 3*x + 7*x, -2*x + 5 = -3*z for z. 1 Solve 0 = 2*n - 4, 8 = 5*o - 5*n + 4*n for o. 2 Solve 40*v - 45*v - 30 = 0, 2*v + 9 = -i for i. 3 Solve -6*s - 5*t = -4*s - 4, -5*t = -10 for s. -3 Solve q = 5, 52*u - 53*u - 10 = -3*q for u. 5 Solve -q - 3*w = -4*w + 9, -20 = -4*w for q. -4 Solve 0 = -3*d + 3*n - 9, 12*n = 10*n + 6 for d. 0 Solve 3*v - 24 = -0*h - 5*h, 0 = h + v - 6 for h. 3 Solve -5*r + 6*p - 10 = 3*p, 3*p + 15 = 0 for r. -5 Solve -3*o = r - 1, o = -3*o + 3*r - 3 for o. 0 Solve -2*a = -5*q - 18, 29*a + 5*q = 34*a - 15 for a. -1 Solve -4*h - h + 10 = 5*u, -h = 0 for u. 2 Solve 5*z + 2*p - 2 = -12, -3*z = p + 5 for z. 0 Solve -23*p + 14 = -2*n - 20*p, 4*p = -3*n + 13 for n. -1 Solve 2*a - 15 = -5*t, a = -t + 2 + 1 for t. 3 Solve -2*i + 2*a + 2*a = -20, -3*a = -4*i + 20 for i. 2 Solve -27 = -3*n - y, 5*y + 1 = 6*n - 4*n for n. 8 Solve 0 = -5*i - 3*l + 20, -l + 12 = 3*i - 0*i for i. 4 Solve -20 = 4*v, 6*f - 3*f + 5*v = -40 for f. -5 Solve -143*z + 144*z - 6 = -k, 4 = k for z. 2 Solve 5*u - 25 = v, -5*v = -0*u - 4*u + 41 for u. 4 Solve -p = -4*r + 17, -39*r = 2*p - 36*r - 21 for p. 3 Solve -3*k + 3*o + 18 = 0, 0 = 2*k + 4*o + 18 for k. 1 Solve -2*t = 6*m - 8*m + 2, -3 = -m + 3*t for m. 0 Solve -2*c = 2*w, -4*c - 73 + 46 = -5*w for c. -3 Solve 5*d - 2*j = 3*j, 0 = 4*d - j + 6 for d. -2 Solve -5*b - 2*k + 23 = 0, 5*b - 3*k + 5 = 2*k for b. 3 Solve -2*u - 2 = -17*g + 19*g, -5*g + 1 = 2*u for g. 1 Solve 5*s = -2*z + z - 5, -5*s = 0 for z. -5 Solve v + 25*j - 2 = 26*j, 2*j = -4*v + 26 for v. 5 Solve -4*b - l + 6 = 3, -2*l + 6 = -3*b for b. 0 Solve 11*o - 8*o + 2*v + 10 = 0, o - 4*v - 6 = 0 for o. -2 Solve -3*h + 4*f - 5 = -8*h, 4*h = 5*f + 45 for h. 5 Solve -h - 51*b - 9 = -48*b, 19 = 4*h + b for h. 6 Solve -t - 4*j = -25, 2*t - 17 - 13 = -4*j for t. 5 Solve -3*f + 6 = -3*t, -3*f + 6 = -2*t + 2 for t. -2 Solve -2*b - 3*z + 11 = 22, -2*b = -5*z - 13 for b. -1 Solve 21 = -4*y - 5*g, -4*y + 8 = -5*g + 19 for y. -4 Solve c + 2*o = 5, -5*c = o + 3*o - 1 for c. -3 Solve 7 = -5*u + 2*p, -5*u + 5*p - 8 - 2 =
{ "pile_set_name": "DM Mathematics" }
sqrt(8))**2). 240 Simplify (sqrt(168)/sqrt(1200))/(sqrt(42)/(sqrt(48)/sqrt(8))). sqrt(2)/10 Simplify ((sqrt(210)*-2)/sqrt(6))/(sqrt(28)/sqrt(4)*6) - (sqrt(80) + -2 + -1*sqrt(80) + 5). -3 - sqrt(5)/3 Simplify (1 + sqrt(28) + sqrt(7) - (-6*sqrt(7)*-1)**2) + (sqrt(847) - sqrt(847)*2)*2. -251 - 19*sqrt(7) Simplify (5*sqrt(384)*-5 - sqrt(384))/(5*sqrt(144)/sqrt(12)). -104*sqrt(2)/5 Simplify -4 + (sqrt(396) + (-1 + 1 + sqrt(396) + sqrt(396) - sqrt(396)) + sqrt(396) + (2*sqrt(396) - sqrt(396) - sqrt(396)) + 1)**2 + 4. 36*sqrt(11) + 3565 Simplify -4*((5*-2*sqrt(162) - sqrt(162)) + 5)**2*-5*3. -59400*sqrt(2) + 1177620 Simplify 0 + (sqrt(192) + sqrt(192) + 2 + sqrt(192) + sqrt(192) + -4 + sqrt(192))**2*-4. -19216 + 640*sqrt(3) Simplify (sqrt(847) + (sqrt(847) + -1)*6 + sqrt(847) + sqrt(448)/sqrt(4)*2)**2. -1152*sqrt(7) + 64548 Simplify (-4*(sqrt(176) + sqrt(176)*1 + 1 + -4))**2 + 5. -768*sqrt(11) + 11413 Simplify (sqrt(108)/((sqrt(72)/sqrt(2))/sqrt(6)))/(sqrt(72)/(sqrt(72)/(sqrt(24)/sqrt(4)))). sqrt(3) Simplify (-3 + (sqrt(1377) + 2*(sqrt(1377) + sqrt(1377)*1) - sqrt(1377)) + 4*(sqrt(1377) + sqrt(1377)*1)*5)**2 + 0. -2376*sqrt(17) + 2665881 Simplify 1*(4 + -2*sqrt(5)) + 5 - (-1 + 2 + (-3 + (2 + sqrt(5))**2 - sqrt(5))). -5*sqrt(5) + 2 Simplify 1 + -2*sqrt(1700) + 1 - (-4 + (2*sqrt(1700)*1 - sqrt(1700))). -30*sqrt(17) + 6 Simplify (2*(1*sqrt(35)*5 - sqrt(35)))/(-2*sqrt(700) - sqrt(28)/sqrt(64)). -32*sqrt(5)/81 Simplify (sqrt(576)/(sqrt(48)/sqrt(4)) + sqrt(192) + -1 + (-2*sqrt(576)*-2 - sqrt(576))/sqrt(12))**2. -48*sqrt(3) + 1729 Simplify ((sqrt(100) - (sqrt(100) - (sqrt(100) - 2*-2*sqrt(100))))/(sqrt(98) - 2*sqrt(98)))**2. 1250/49 Simplify ((-1*sqrt(304)*-2 - (5 + sqrt(76) - sqrt(209)/(sqrt(11)*-1))) + 0)**2. -50*sqrt(19) + 500 Simplify 3 + (-4 + sqrt(425)*1 + 3 + (sqrt(17) - (sqrt(17) + sqrt(136)/sqrt(8))))**2. -8*sqrt(17) + 276 Simplify 1 + 5 + sqrt(33)/sqrt(3) + -2 - ((-1*sqrt(77))/sqrt(7) - (sqrt(44) + -3 - sqrt(11))**2). -4*sqrt(11) + 24 Simplify (((sqrt(128) - (sqrt(128)*-1*-6 - sqrt(128))) + -1 + (sqrt(128) + 1 - sqrt(128)))*4 + 4)**2. -1024*sqrt(2) + 32784 Simplify 6*sqrt(112)*-4 + sqrt(21)/(sqrt(432)*2). -2303*sqrt(7)/24 Simplify (sqrt(99)*-2*4)/sqrt(9) + -4 + (-2*5*sqrt(11)*-1)**2 + -1. -8*sqrt(11) + 1095 Simplify ((1*sqrt(32)*4)/sqrt(2))/(5*sqrt(968)*-2). -2*sqrt(2)/55 Simplify ((-5*sqrt(70)*2)/(-1*sqrt(640)) + -4)**2. -10*sqrt(7) + 431/16 Simplify (sqrt(7)*-1*5 - (sqrt(7) + (2 + sqrt(28)/sqrt(4) - sqrt(7)))**2 - (-1 + sqrt(49)/sqrt(7)*6))*5. -75*sqrt(7) - 50 Simplify (-3*(-5 + (sqrt(192) + 5 - sqrt(192)) - (sqrt(192) + 5*sqrt(192) - sqrt(192))*5))**2. 1080000 Simplify (-2*sqrt(48))/(sqrt(960)/sqrt(10)) - ((-2*sqrt(216) + sqrt(216))/sqrt(12))/(sqrt(9) + ((2*sqrt(45) + sqrt(45))/sqrt(5) - sqrt(9)) + sqrt(9)). -3*sqrt(2)/4 Simplify sqrt(448) - (sqrt(448)*-2 + -5)**2 - (sqrt(343) + (sqrt(343) - -2*sqrt(343)) + 1)**2. -7306 - 208*sqrt(7) Simplify ((-4*-3*sqrt(121)*-1)/((-2*sqrt(11) - sqrt(11))*4 - -4*(sqrt(11) + sqrt(33)/sqrt(3))))**2. 99 Simplify sqrt(27)/(sqrt(45)/sqrt(5)) - sqrt(18)/(sqrt(24)/sqrt(4)) - (-4*sqrt(12)/sqrt(2))/sqrt(2). 4*sqrt(3) Simplify (sqrt(208)*2 + -4)*3 + 3*(2 + sqrt(208))*2. 48*sqrt(13) Simplify (sqrt(45)/(sqrt(1620)/sqrt(5)))**2 - (sqrt(605)*-1 + -5)**2. -22675/36 - 110*sqrt(5) Simplify sqrt(228)/(sqrt(132)/sqrt(539)) - (-4*(-1*sqrt(19))**2 + (0 + (sqrt(76) - sqrt(19)))**2). 7*sqrt(19) + 57 Simplify ((4 + sqrt(448) + 3 - sqrt(448)) + (sqrt(448) - (sqrt(448) + 5 + sqrt(448) + 0)))*-3. -6 + 24*sqrt(7) Simplify -6*(-1 + sqrt(18)*-4 + -1*(sqrt(14)/(sqrt(21)/sqrt(3)))**2). 18 + 72*sqrt(2) Simplify -3 + (-1*(sqrt(490)*-2)/(sqrt(162)*2))**2. 2/81 Simplify ((sqrt(133) + sqrt(133) + 1*sqrt(133))*-3 + sqrt(133) + ((1*sqrt(133) - sqrt(133)) + sqrt(133))*1)/(sqrt(63)*-2 + (sqrt(49) + sqrt(441))/sqrt(7)). 7*sqrt(19)/2 Simplify (2*sqrt(78)*1)/(sqrt(60)/(sqrt(30)/sqrt(3))). 2*sqrt(13) Simplify -2 + (sqrt(432)*-1 + sqrt(432) - sqrt(15)/((sqrt(720) - sqrt(45))/sqrt(9)))**2. -5/3 Simplify 6*(5*(-4 + sqrt(33)/sqrt(3)) - (sqrt(11) + sqrt(22)/(sqrt(6)/sqrt(3)) - sqrt(66)/(sqrt(30)/sqrt(5)))**2). -186 + 30*sqrt(11) Simplify ((sqrt(275) - (6*sqrt(275) - sqrt(275)))/sqrt(11))/(3*(sqrt(5) - sqrt(45))). 2*sqrt(5)/3 Simplify sqrt(1053) + 1 + 3 + (sqrt(1872)*-2 + 4 + sqrt(1872))**2. -87*sqrt(13) + 1892 Simplify ((4*(sqrt(105) + (sqrt(105) - 1*sqrt(105)) + sqrt(105)))/sqrt(5))/(sqrt(18)/(sqrt(18)/(sqrt(108) + sqrt(3)))). 8*sqrt(7)/7 Simplify ((sqrt(2058)*-2 - (sqrt(42) - (-1*sqrt(168) - sqrt(168))))/(sqrt(150)*1*2)*4)**2. 10108/25 Simplify (5 + -1 + (4*sqrt(160) + sqrt(10))/sqrt(2))*4*2. 32 + 136*sqrt(5) Simplify -4*(4 + (-1 + sqrt(1573))**2)*2. -12624 + 176*sqrt(13) Simplify (sqrt(240)/sqrt(160)*3)/(5*(-2*sqrt(64))/sqrt(8)). -3*sqrt(3)/40 Simplify 5*((sqrt(612) - ((0 + (-2 + sqrt(612) - sqrt(612)))**2 + sqrt(612) + sqrt(612))) + -1 + 5) + -5. -30*sqrt(17) - 5 Simplify (sqrt(30)/sqrt(24) - (sqrt(10)/sqrt(2) + -4))*1. -sqrt(5)/2 + 4 Simplify (sqrt(171) - -5*-2*sqrt(171))/(sqrt(54)/(sqrt(48)/sqrt(8)))*-5 + 4. 4 + 45*sqrt(19) Simplify (-6*1*sqrt(153) + sqrt(153) + 4 - 4*6*(sqrt(153) + (sqrt(153) - 2*sqrt(153)) + sqrt(153)))**2. -696*sqrt(17) + 128689 Simplify 3 + 1*(1 + ((1 + sqrt(10)/sqrt(2))*2)**2). 8*sqrt(5) + 28 Simplify -6*-5*((-1 + ((sqrt(1300) + -3 - sqrt(1300)) + sqrt(1300) - sqrt(1300) - sqrt(1300)))**2 - ((4*sqrt(1300))**2*-5 + sqrt(1300))). 2100*sqrt(13) + 3159480 Simplify -3 + (4 + -1 + sqrt(468) + (sqrt(468) - (sqrt(468) + 1 + 2)))**2 + (-3 + sqrt(468) + sqrt(468)*1 + (3 + 0 + sqrt(468) - sqrt(468)))**2. 2337 Simplify (sqrt(108) + sqrt(108) + -1 + sqrt(108) + -2 - (-1*sqrt(108) + sqrt(108) + -1) - (-5 + sqrt(108) + 0 - (1 + sqrt(108))*-3))**2. 108 Simplify (0 + -1 + sqrt(52)/(sqrt(24)/sqrt(6)) + (sqrt(13) + (sqrt(26)/sqrt(2) - sqrt(13)))*6)**2. -14*sqrt(13) + 638 Simplify ((sqrt(104) + sqrt(104) + (sqrt(104) + sqrt(104)*-3 - sqrt(104))*-6)/(sqrt(1152)*-2 - sqrt(8)))**2. 208/25 Simplify -1*(0 + (sqrt(5) - -2*sqrt(20)) + 1). -5*sqrt(5) - 1 Simplify 5*((sqrt(21)*3*-2)/sqrt(3))**2*-4*2. -10080 Simplify ((-4*2*sqrt(440) + sqrt(440) - sqrt(440))/sqrt(8))/((1*sqrt(132))/sqrt(12)*2). -4*sqrt(5) Simplify 5 + (((-3*sqrt(605))/sqrt(11))/sqrt(11) - (sqrt(135)/sqrt(3) + (-2*sqrt(10))/sqrt(2))). -4*sqrt(5) + 5 Simplify -6*(1*sqrt(33)*1)/(sqrt(3) - (sqrt(3) + (sqrt(24) - (sqrt(24)*2 + sqrt(24)))/sqrt(8))). -3*sqrt(11) Simplify ((sqrt(72) - sqrt(72)*-2) + 1 + -3 + sqrt(450) + -4)**2. -396*sqrt(2) + 2214 Simplify 5 + -3*sqrt(208) + sqrt(208) - (sqrt(208) - -4*sqrt(208)*-4). 5 + 52*sqrt(13) Simplify ((1*sqrt(24)*2)/(sqrt(24)/(sqrt(2)*1)))**2. 8 Simplify (4 + -1*sqrt(1088)*-6)*6. 24 + 288*sqrt(17) Simplify ((sqrt(637) + 6*sqrt(637)*-1)*-5 - (sqrt(637) + 0 + 3 + 1))**2*-2. -733856 + 2688*sqrt(13) Simplify (4*sqrt(550))/((sqrt(110)*5)/sqrt(10)). 4*sqrt(2) Simplify ((2 + sqrt(68) + sqrt(17) - (-1 + sqrt(17) + 4 - sqrt(17))) + (sqrt(85) - 1*sqrt(85))/sqrt(5)*3)**2 + -3. -6*sqrt(17) + 151 Simplify 3*(1 + -5*(-2*sqrt(500)*5)**2*3). -2249997 Simplify 3*((6*(sqrt(2) - sqrt(2)*1) - 5*1*sqrt(2)) + 4*-1*sqrt(98))**2. 6534 Simplify (sqrt(66)/(sqrt(3) + 5*sqrt(3)))/(sqrt(98) + sqrt(98)*-3 - sqrt(2)). -sqrt(11)/90 Simplify ((2 + sqrt(2299) + 0 + sqrt(2299))*-4)**2 - ((-1 + sqrt(2299))**2 + 3)*3. 1474*sqrt(19) + 140291 Simplify 4*(sqrt(21) + sqrt(525)*1)/(sqrt(14)/sqrt(2)*-6). -4*sqrt(3) Simplify -4 + (-2 + -1 + sqrt(243))**2 + ((5 + sqrt(3)*-4)**2 + sqrt(3))*2. -132*sqrt(3) + 394 Simplify 1 + ((1 + sqrt(17)*2 + (sqrt(136)*-2 + sqrt(136))/sqrt(8) + sqrt(17))**2 - (-1*sqrt(1377) + sqrt(119)/(sqrt(28)/sqrt(4) + sqrt(7)))). 25*sqrt(17)/2 + 70 Simplify ((sqrt(91)*-2*-6 - sqrt(91) - sqrt(91)) + sqrt(91) + 1*sqrt(91)*5)/(sqrt(77)/sqrt(176) - (sqrt(35)*2)/sqrt(5)). -64*sqrt(13)/7 Simplify sqrt(15)/((sqrt(150)/sqrt(5))/sqrt(10)) + ((0 + sqrt(605))**2 - (2 + sqrt(245) + sqrt(245))). -13*sqrt(5) + 603 Simplify (sqrt(243) + (sqrt(243) + -1)*-5 - (0 + sqrt(243) + -1) - (4 + (sqrt(147) - (sqrt(147) - 1*sqrt(147))) + 1*sqrt(48)))**2. -224*sqrt(3) + 9412 Simplify (sqrt(6)/((sqrt(128) - sqrt(32)) + sqrt(2))*3*-3)**2. 243/25 Simplify ((sqrt(75) + -1 + 0 - (-1 + sqrt(75)*2)) + -4*(2*sqrt(108) + 3))**2. 1272*sqrt(3) + 8571 Simplify 4 + ((sqrt(432) - -2*(sqrt(432) + -2*sqrt(432)) - sqrt(432
{ "pile_set_name": "DM Mathematics" }
st to r? (a) -3 (b) -4 (c) d a Let k be 8/3*3/(-2). Let q be 84/105*10/k. Which is the closest to 0? (a) 4 (b) -2/9 (c) q b Let g(h) = -7*h - 265. Let t be g(-37). What is the nearest to t in 2/13, -1, -2/3, 1/4? -1 Let i = 0.5 + 0. Let w = 1.2 - 0.2. Let o = -423 + 421. What is the closest to 2 in o, w, i? w Let o = -837.1 + 837. Which is the nearest to o? (a) 0 (b) -1 (c) 20 a Let h = 3 - 2. Let o = 255 + -259. What is the nearest to 2/3 in h, 1/4, o? h Let b = 0.477 + -0.087. Let k = 4.39 - b. What is the nearest to 5 in -3, -1/2, k? k Let o = -1368 - -1365. What is the nearest to 0.3 in 17, o, -2? -2 Let y be 12 - 15 - 3/42*-38. What is the closest to y in -4/5, 0, 2, -5? 0 Let n = 4 + -12. Let w = 4 + n. Let b = 11 - 7. What is the nearest to 4/13 in -0.1, b, w? -0.1 Let u = 0.087 - 0.457. Let p = u - -0.27. Which is the closest to p? (a) 2 (b) -3 (c) 2/9 c Let y = 1.8697 - -0.1303. What is the nearest to -25 in 4, y, 0.1? 0.1 Let d = 385 + -383. What is the nearest to 2 in d, 1, 6, -1? d Let l = 15.87 + 23.13. What is the nearest to -0.2 in 1/2, -5, l? 1/2 Let t = 68.3 - 75. Let l = t + 7. Let q be (9/60)/((-10)/25). Which is the nearest to 1? (a) l (b) q (c) 4 a Let x = -0.061 + -5.139. Let v = -40 - -35. Let q = v - x. What is the nearest to 0 in -2/3, q, -0.1? -0.1 Let p = -12.14 + 12.64. Which is the nearest to 0? (a) 0.2 (b) 0 (c) p b Let z = -147 - -154. What is the closest to 1/2 in z, 3/7, 0.4, -4? 3/7 Let n = 0.7 - 0.64. Let l = 0.16 - n. Suppose -3*i - 3*i - 6 = 0. Which is the nearest to l? (a) i (b) 5/2 (c) 1/3 c Let v be (-1)/2 + 1/(-2). Let l be (38/(-95))/((-4)/5). Let i = -8.4 - -8.4. Which is the nearest to l? (a) i (b) 0.1 (c) v b Let n(h) = -3*h - 12. Let t be n(-6). Suppose 2*c = t - 22. Let q = c + 13. What is the nearest to -12/11 in 0, -1, q? -1 Let y(w) = w + 7. Let j be y(-7). Let q = 0.14 + 22.86. Let f = q + -22.7. Which is the closest to 1? (a) j (b) -0.3 (c) f c Let y = 0.1 + -5.1. Let i be ((-56)/294)/((-1)/((-7)/3)). Let f = -0.2 - -0.8. What is the closest to -1/3 in f, y, i? i Let a = 1.5 + -1.1. Let x = 1.5 + 0.5. What is the closest to -1/5 in x, 3/5, a? a Let t = -203 - -1823/9. Which is the closest to -1/5? (a) 3 (b) t (c) -4 b Let l = 0.01 + 0.07. Let k = l - -2.92. Let h = -1 + k. Which is the nearest to 0.2? (a) -0.2 (b) h (c) 0.5 c Let d = 170 - 173. Which is the nearest to -0.3? (a) d (b) 3 (c) 4/5 c Let c = -0.0311 + 0.4311. What is the nearest to 0 in 8, 0, -1, c? 0 Let z = -2.906 - -1.906. What is the closest to -2/3 in 1/12, -2, z, -5? z Let b = 6201 + -18601/3. Let d = 1/28 + -73/476. What is the closest to b in d, -1, 2/5? 2/5 Let o = -5.76 - -7.76. What is the nearest to o in -1/8, 5, 0? 0 Let i be 4/10 + 342/20. Let f = -17 + i. Let u be (((-221)/52)/17)/((-3)/12). Which is the nearest to u? (a) 0 (b) f (c) -4/7 b Let r = -2166 + 2165.5. What is the nearest to 1 in -132, 4, r? r Let d = 4 + -7. Let g(f) = f**2 + 8*f - 6. Let m be g(1). What is the closest to d in m, 1/9, 4/7? 1/9 Suppose -4*o = 3 + 5. Let y = 16.8 - 17. Which is the closest to o? (a) y (b) 5 (c) -2 c Suppose -6*b + 1 = -23. What is the nearest to -2 in 11, -2, b? -2 Let n = -0.035 - -0.235. Let z = -0.6 + 0.6. What is the nearest to z in n, 2, -3? n Let h be (-50)/(-440)*16/10. Which is the closest to 1? (a) 0.3 (b) 0.06 (c) h a Let g = 112 - 562/5. Suppose 4*f = -2 - 10. Let m be (f/(-4))/((-153)/24). What is the nearest to 0 in 0.3, m, g? m Let t = -1366 - -1365. What is the nearest to -2 in t, 4, -0.1, 3? t Let w = 1395.5 - 1396. Which is the nearest to 88? (a) -5 (b) -0.1 (c) w b Let p = 6.32 + -0.12. Let o = -6 + p. Suppose 0 = 4*z - 3*m + 1, 3*z + 1 = m - 6. Which is the nearest to o? (a) -0.4 (b) -0.1 (c) z b Let u = -5.6 + -19.4. Let p = u - -22. What is the closest to -1 in -1/4, 2/9, p? -1/4 Let x = 1409/2 + -704. Which is the closest to x? (a) 5/3 (b) -3 (c) 3.6 a Suppose 4*i + 3*t - 22 = 0, 7*i - 30 = 2*i - 5*t. Let p = -3 + 3.1. What is the nearest to p in i, -4, 1? 1 Let s = 79 - 157/2. Let f = 9.99 + -10. Let l = 4.99 - f. What is the closest to s in l, -3, 3/4? 3/4 Let n = -111 - -110.6. Let s = 2.07 - 0.07. Which is the closest to 1/3? (a) s (b) 1 (c) n b Let z = 201.9 + -202. Let y = 3/73 + 204/365. Which is the closest to z? (a) y (b) 2 (c) 2/3 a Let p be (-8)/(-20) + (-7)/5. Let j be ((-4)/(-16))/(p + 3). Let z = -48 - -46. What is the closest to 0.1 in 0, j, z? j Let p = -31 - -33. Let l(y) = -7*y. Let m be l(p). Which is the nearest to 1/3? (a) m (b) 5 (c) 0.2 c Let y = 0.172 + 0.028. Let k be -1 - 3*(-2)/(-12). Let s = -2 - -1.7. What is the nearest to s in -2, k, y? y Suppose 3*c - 10 = 2. Let p(u) = u - 180. Let j be p(0). Let a be ((-15)/j)/((-2)/(-6)). What is the nearest to a in 2/11, c, 0? 2/11 Let h be 2/(-4) - 77/70. Let n be ((-2)/(-4))/((630/12)/(-15)). Which is the nearest to h? (a) n (b) -1 (c) -5 b Let n(h) = h**3 - 12*h**2 + h - 10. Let l be n(12). Let q be 3*l/18*3. Let o = 59.5 + -59. Which is the nearest to q? (a) o (b) -2/13 (c) 3 a Let q = -1/5 - -2/5. Let k be 68/(-85)*(-6 + 1). Suppose -11 = -k*g + 9. What is the closest to 1 in q, -4/3, g? q Suppose 3*x + 0*x = 0. Let v = 16 + -16. Which is the closest to v? (a) x (b) -1 (c) -5 a Let k = -38.1 - -36.1. What is the nearest to 1 in -243, k, -5? k Let r be -19 - (-10 - -4) - -7. What is the nearest to -4 in 0.5, 2, r? r Let q be 20/(-90)*33/(-2). Let o = -11.3 - -10.3. Which is the closest to 0.1? (a) o (b) q (c) 2 a Let x = -59166999/65084 - -48168/53. Let w = x - -2/307. What is the nearest to w in 5, 4, -2/55? -2/55 Let i = -38.082 + 0.082. Let r = 38.4 + i. What is the nearest to 9/5 in r, -1, -0.5? r Let y(r) = r**2 - 6*r + 3. Let m be y(6). Suppose -v + m*u = -u - 16, 5*v = 5*u + 35. Which is the closest to 0.2? (a) 0.4 (b) v (c) -1/8 a Let p = 23 + -23.11. Let h = -4.11 - p. Let i = h - -4.1. What is the nearest to i in -2/5, 1, -1? -2/5 Suppose 16*v - 17*v = -q + 2, -q + 17 = 4*v. What is the closest to -1 in 0.2, -2/13, q, 1? -2/13 Let k = 269 - 271.26. Let o = -0.26 - k. What is the nearest to -2 in o, -0.1, 5/3? -0.1 Suppose 115 = -5*v + 2*h, -57 = 4*v - 2*v - 3*h. Let x be 4 - ((-90)/v - 0). What is the closest to -9 in 2/13, 2, x? x Let g = 0.2 + -12.2. Let j = 23 + g. Let l = j + -10.9. What is the closest to l in -4/5, 0, 3? 0 Let j = -4.373 + 4.273. Let n = -7.7 - -8. Which is the nearest to j? (a) 1/10 (b) n (c) -1 a Let s = 0.07 + -0.04. Let g = 0.13 - s. Let y = 0.1 - -0.1. Which is the closest to g? (a) -5 (b) -2 (c) y c Let j be (3/14)/((-3)/(-4)). Let v = -421 - -1259/3. Which is the closest to 0? (a) v (b) -1.4 (c) j c Suppose -3*h = -6*h - r + 1, -17 = 4*h + 5*r. Let n = 0.9 - 0.6. Which is the closest to 0.2? (a) n (b) 2/7 (c) h b Suppose -4*x = -4*z + x - 175, -2*z + x - 83 = 0. Let m be 12/(-15) + (-16)/z. Let d = 0.8 + 0.2. Which is the closest to 0? (a) m (b) d (c) 2 a Let f = 5/18 + 7/18. Let m = -5 - -9. Let j = -1.02 + 0.42. What is the closest to f in m, j, -1? j Let b = 1.8 + -0.8. Suppose -4*o + 12 = 0, 2*t + t + o + 78 = 0. Let h = t + 32. What is the nearest to b in h, 0.5, 1? 1 Let d = 151 - 115. Let m = d - 34. What is the nearest to 1 in 2/13, -2, m? 2/13 Let z = -0.337 + 1.837. What is the nearest to z in 3, 2, -0.5? 2 Let k = 14.7 + -14.6. Which is the closest to k? (a) 2 (b) 4 (c) -3/10 (d) -3/5 c Let y = -3 - -71. Let n = 67.9 - y. What is the nearest to n in -4, 1/2, -1? 1/2 Let x = 4 - 3.98. Let q = 0.159 - 0.239. Let r = x - q. Which is the closest to r? (a) 5 (b) 5/3 (c) -0.5 c Let q = 0.21 + -0.51. Let m = q + 0.18. Let v = 2.12 + m. What is the nearest to -1 in v, 1/8, -3? 1/8 Let q = -1.5 - -5. Let x = 4 - q. Let h be 10/(-4)*(-4)/(-25). Which is the closest to h? (a) x (b) 3 (c) 5/2 a Let w = -44/7 - -248/35. Which is the nearest to -3/10? (a) 0.3 (b) -1/2 (c) -3 (d) w b Let m = 291/1525 + 3/61. Which is the closest to m? (a) -0.4 (b) -1/11 (c) -1/4 b Let c = -689 - -692. What is the nearest to 1 in 2/29, c, 2? 2/29 Let f = -201.7 + 202. Which is the nearest to -1? (a) f (b) -1 (c) 0.1 b Let i = 38.14 + -38. Let r = 0.54 - i. Let a = -167/7 - -24. What is the clos
{ "pile_set_name": "DM Mathematics" }
= 1.3 - 8.3. Let i be 14/6*(-374)/(-6545). What is the closest to 0 in 2, r, i? i Let t be 2/(-2)*(2 - 1). Let i be 5/7 + (-4)/(-14). Let w = -4754.9 - -4755. Which is the nearest to i? (a) w (b) -4 (c) t a Let d = 3 + -5. Let i be 39/18 + d/3. Let x = -0.5 + 0.2. What is the nearest to 0 in x, i, -3/5? x Let g be 1/((-4)/(0 - -2)). Let c = -10715 + 10715.01. What is the closest to g in -1, 3, c? -1 Let x = -470 + 477. Which is the nearest to x? (a) 4/7 (b) -3/2 (c) 2/17 a Let m = -0.3921 - -0.2921. Which is the nearest to 0.1? (a) 2 (b) m (c) -252 b Let d = 15 - 10. Let o = 1 - d. Let x = 23/30 + -2/3. What is the nearest to 0.1 in 0.3, o, x? x Let n = -19/40 - 1/40. Let j = -118/3 + 40. Which is the nearest to j? (a) -2/7 (b) n (c) 4 a Let z = -5.6 - -42.6. Let q = 36.8 - z. Which is the nearest to q? (a) -2/15 (b) 2/5 (c) -0.5 a Let i = -2074 + 2077. Which is the closest to -0.2? (a) i (b) -2/3 (c) -0.07 (d) -5 c Suppose -5*u = -3*m + 17 + 12, 2*u = 2*m - 14. Let z = -2 - u. Let g = 0.24 - 0.64. What is the closest to -1 in z, -0.3, g? g Let l = -4.49 + 4.69. What is the closest to -2 in l, 6, -4? -4 Let a = -133 + 132. Let l = 0.4 + 4.6. What is the closest to -0.1 in 2/5, a, l? 2/5 Suppose 34*o + 6 = 32*o. Let n be (o/(-2))/(((-6)/8)/1). Let w = -4 - -3.5. Which is the nearest to -3? (a) 2/11 (b) w (c) n c Let p = -18.245 - 0.455. Let k = 14.7 + p. What is the nearest to k in -2/11, -5, -4/15? -5 Let x = -1/150 + 7/50. Let o = -38.9 + 39. Which is the closest to o? (a) 5 (b) x (c) 2/19 c Let t = 0.2 + -2.2. Which is the closest to -2/7? (a) t (b) -1 (c) 1 b Let v be (-51)/9 - (-4)/6. Let d = 0.77 + -0.5. Let b = d - 0.27. What is the nearest to 1/2 in b, 5, v? b Let q be -2*((-14)/2)/14. Let r = 5 + -4.97. Let o = r + 0.07. Which is the closest to o? (a) 0.2 (b) -4 (c) q a Let j = 17 - 5. Let f = j - 11.6. Which is the nearest to 1/3? (a) -2 (b) f (c) -1 b Let g = -57 + 32. Let j = -27 - g. Let s = -0.2 - -0.2. What is the closest to 0.3 in 3, s, j? s Let t = -3 + 2. Let x = 626 - 622. Which is the closest to 0.03? (a) x (b) t (c) 2/7 c Let v = 21 - 23. Let u(i) = -1. Let h(f) = -f - 8. Let q(w) = -h(w) + 5*u(w). Let o be q(-3). Which is the closest to o? (a) 5 (b) v (c) 3 b Let m = -4 - 1. Let g = 1964 - 1964. Let u = 8 - 5. Which is the nearest to g? (a) m (b) -0.2 (c) u b Let r = -93 - -176. Let p = r + -88. Which is the closest to -1? (a) 1/11 (b) 4 (c) p a Let f = -5.6 - -6. Let j = 25.74 + -20.74. Let c = -0.2 + 0.1. What is the closest to c in j, f, 1? f Let p be (876/7154)/(0 - 2/(-14)). Let r = -239 - -1691/7. Let n = -65/28 + r. Which is the closest to n? (a) p (b) -3 (c) -0.4 a Suppose -2*g = 6, 9*g - 30 = 3*l + 11*g. Which is the closest to 0.1? (a) -2/11 (b) -2 (c) 0.4 (d) l a Let j = -43/6 - -13/2. Suppose -4*z - 56 = -5*z. Let w be 12/z - (-1)/(-2). Which is the closest to -4? (a) j (b) -0.2 (c) w a Let x = -0.3 - -0.2. Let v be (-185)/(-20)*(-6 - 4). Let k = 280/3 + v. What is the nearest to 0 in k, x, 0? 0 Let j = 3.88 + 0.12. Let f = 4.5 - j. What is the nearest to -1 in -2/11, f, 4? -2/11 Let a = 2.204 + -0.204. What is the closest to -0.1 in a, -4, -1/27? -1/27 Let c = -2/7 + 13/21. What is the nearest to c in 1/4, -3, 2, -5? 1/4 Let t = 4 - 3. Let z = -0.08 - 1.92. Let m be 8/30 + 12/(-18). Which is the closest to z? (a) m (b) t (c) -0.5 c Let v = 39 - 40. Let q be (1/3)/(5/60). Let d be 72/38 - (q + -2). What is the nearest to 2 in v, -2/9, d? d Let h = -2428 + 2430. Which is the nearest to h? (a) -0.2 (b) 1/3 (c) 3 (d) 0.1 c Let f = 0.0658 + -0.5658. Let w = 0.05 - 0.02. Which is the nearest to w? (a) f (b) 0 (c) -2 b Let k be -3*(-2)/(-2 - 0). Suppose 22 = -i + 20. Let r be i - (k + 3/3). Which is the nearest to r? (a) 5 (b) 0 (c) -5/4 b Let x = 196 + -1571/8. Let y = 207 - 208. Let a = 2.96 + 0.04. What is the nearest to a in x, y, -5/6? x Suppose -3*x + 2*h = -27 + 134, 54 = -2*x - 3*h. Let r = x - -33. What is the closest to r in -3/7, -0.5, -2/5? -2/5 Let v = 0.2 - 0.3. Let w = 0.632 + -0.632. Which is the nearest to v? (a) 2 (b) 4 (c) w c Let u = -6 - -3. Let r be (-6 - -7)*(-2)/(-2)*-83. Let q = 81 + r. What is the nearest to u in 3, -1, q? q Let m = -2624 - -2672. Which is the closest to -0.2? (a) m (b) 1/3 (c) 1/2 b Let c = -91 - -90.7. Let x = -1.6 - -1.8. Let p = -4.8 - x. What is the nearest to -0.1 in -2, c, p? c Let s = 0.17 + 0.03. Let v(d) = -d**2 - 6*d - 5. Let j be (-9)/(2 - (-2)/(-4)). Let g be v(j). Which is the closest to s? (a) 2/15 (b) g (c) 5 a Let i be (15 - (-10)/(-5)) + 1. Let j = i + -9. Let p = -3 - -6. Which is the closest to p? (a) 1/3 (b) 1/2 (c) j c Let r = 0.7 + 0.3. Let g = 47/106 - -3/53. What is the closest to g in -5, r, 2/13? 2/13 Let z = 1.641 - 1.711. Which is the nearest to 0? (a) 3/5 (b) 4 (c) z (d) 0.3 c Let x = -0.3 - 1.7. Let b(o) = -2*o**2 + 103*o - 52. Let k be b(51). Let s be -2 + 3 + -1 + -5. What is the closest to x in 2, k, s? k Let x = -1073.7 + 1000. Let q = 74 + x. Which is the nearest to q? (a) 3/7 (b) 0.2 (c) -3 b Let n = 0.26851 + -0.06851. Let a = 5/18 + -101/234. What is the closest to 2 in a, n, 0.4? 0.4 Suppose -4*j = 4*i - 0*i + 4, 5*i = 3*j - 29. Let h = -2 - -2.2. Which is the closest to h? (a) 5 (b) -1/3 (c) j b Let c(d) be the first derivative of -d**2/2 - 5*d - 6. Let s be c(-6). Let l = -59/3 + 20. What is the nearest to s in l, -4, 0.5? 0.5 Let z be 2/2 + 16/(-28). Let i = 447 - 464. Which is the closest to i? (a) z (b) 1/7 (c) 2 b Let d = -59/3 - -20. Let x(h) = -65*h - 393. Let r be x(-6). Which is the closest to d? (a) r (b) -1 (c) 1 c Let s(m) = -6*m - 46. Let n be s(-9). What is the nearest to -1/6 in n, 1, -0.5? -0.5 Let s be (1/3)/((-8)/(-6)). Let p = -0.459 + 1.759. Which is the nearest to 1/4? (a) s (b) 0.3 (c) p a Let q = 266/3 - 88. Let f = 1 + 23. Let h = f - 21. Which is the nearest to -1/4? (a) -3 (b) q (c) h b Let v = -17.516 - -0.516. Let m = 69/244 - 2/61. What is the closest to 1 in m, v, -0.2? m Let u = 69 + -130. Let x = -63 - u. Let d = -2/91 - 79/546. What is the nearest to -0.1 in -5, x, d? d Let j(r) = -r - 1. Let i be j(-1). Let y be 1 + i + (-3)/1. Let q = 13.2 + -11.2. Which is the nearest to y? (a) q (b) -4 (c) -1 c Let s be (-35 - -26) + (4 - 0). Which is the closest to -0.1? (a) -1/14 (b) -2/15 (c) s a Let s = 383 + -678. Which is the nearest to 1? (a) s (b) 5 (c) -0.1 c Let g be ((18/(-15))/(-3))/((-64)/400). Which is the closest to 0? (a) 2/9 (b) g (c) 4 (d) 2/25 d Let o = -824 + 821. Suppose 0 = -4*d + n + 17, -3*d + 0*n + 13 = -n. Let w = 14/5 - 37/15. What is the closest to w in o, 1, d? 1 Let u = 9.6 - 9. Let n = 0.049 - -0.251. Which is the nearest to u? (a) 1/6 (b) 1 (c) n c Let p = -9 - -43/5. Suppose 39 + 31 = 2*j. Suppose -j = -11*a + 20. What is the nearest to -1 in p, a, -1? -1 Let r = -21 + 19. Let u be 1/(r - -3 - 0). What is the closest to u in 2, 1, 5? 1 Let g be (-12 - -7) + 8 + 0. What is the closest to -2/3 in -4/9, 4/3, g? -4/9 Let c = -239 - -238.5. What is the closest to -1 in c, 1/8, 45? c Let s = -19.2 - -18. Let r = s + 0.97. Let m = -4.23 - r. Which is the closest to 2? (a) 5 (b) m (c) -3/2 a Let x be 3/(-18) - (-6 - (-1864)/336). Let f = 2.5 - 2. What is the closest to -2 in -3, f, x? -3 Let s be 5/(-5)*2/(-14). Let q = -19 + 18.74. Let g = 0.36 + q. Which is the closest to g? (a) -5 (b) 5/3 (c) s c Let i = -3.91 - -0.71. Let p = -2.8 + i. What is the nearest to 1 in p, -2, -3? -2 Let z(v) = v**2 - 2*v - 1. Let d be z(-1). Suppose -f + 4*o = o + 8, d*f - 11 = -3*o. Let g = -4 + 18/5. Which is the nearest to f? (a) g (b) -1/6 (c) 2 c Let t = 0.0615 - -0.2385. What is the closest to 0 in -2/13, -4, t, -2/5? -2/13 Suppose 0 = 36*v - 35*v. Suppose v = -3*z + 3 - 15, 5*i + 5*z - 110 = 0. Suppose 2*g + i - 24 = 0. Which is the closest to g? (a) 6 (b) -1 (c) -2 b Let d = 212 + -229. Which is the nearest to d? (a) -1 (b) 3 (c) 1 a Let s(i) = -2*i**2 + 20*i + 5. Let p be s(10). Let y(c) = 4*c**3 + 3*c - 2. Let z be y(2). Let n be z/15 + (-1 - 1). What is the nearest to n in p, 0.2, -0.4? 0.2 Let k be 1 - (-3)/(-2)*(-2)/(-3). Suppose y + y = 5*f + 9, 2*f = -2*y +
{ "pile_set_name": "DM Mathematics" }
be k(4). Solve -f + o = -3*n for n. 4 Let r(o) = -5*o + 7. Let s be r(-9). Let b be s/24 - 2/12. Solve 4 + 2 = b*y for y. 3 Let d = 19 + -17. Solve 0 = -c - d*c - 15 for c. -5 Let t(f) = f**2 + f + 1. Let u(m) = -m**3 - 4*m**2 + 5*m - 2. Let l be u(-5). Let x be t(l). Solve 0 = -0*b - x*b - 9 for b. -3 Suppose -15 - 1 = -4*s. Let q be 2/4*(-150)/(-15). Solve q*t = -s + 29 for t. 5 Let m(j) = j**2 + 3*j + 3. Let f = -1 + -2. Let d be m(f). Solve 2*n = 5*n - d for n. 1 Let p(i) = i - 1. Let h be p(1). Suppose -3*d + 0*d + 6 = h. Suppose d = 2*n - 2. Solve 3*r = n*r for r. 0 Let b = -11 - -14. Let w be (2 + 2 - -2) + 0. Solve w = u - b*u for u. -3 Suppose -4*z + 3 + 13 = 0. Suppose 8 = 2*x, -5*c + z*x = -0 + 1. Solve 3*k + 3 + c = 0 for k. -2 Let z = -9 - -7. Let v = 1 + z. Let c be (-13)/(-3) + v/3. Solve -c*p + 3 = -p for p. 1 Let p be 1/(3 + (-1 - 1)). Let q = -22 + 24. Let g be q - (p + -4 - -1). Solve -3*d - d = -g for d. 1 Let n be -4 - (4 + -11 - 1). Solve -n*j = -j for j. 0 Suppose f + 14 = 2*f - x, 5*x + 20 = 0. Suppose 2*z + z = 33. Suppose 10*o - z*o = 0. Solve 5*v + 0*v + f = o for v. -2 Suppose z = 3*z. Let o(y) = y + 1. Let n be o(z). Let w be 2/4*(n - 1). Solve 4*d - 8 - 4 = w for d. 3 Let y(p) be the first derivative of -p**4/4 + 11*p**3/3 + 11*p**2/2 + 15*p - 4. Let o be y(12). Solve 4*g = -17 - o for g. -5 Let v(h) = h**2 + 4*h + 5. Let k(y) = -y**2 - 3*y - 4. Let z(m) = -5*k(m) - 4*v(m). Let q be z(-1). Solve -q*x + 10 = -0*x for x. 5 Let c = 36 - 32. Suppose b = 2 - 0. Solve h = b*h - c for h. 4 Suppose -4*w - 8 = -2*h, -5*h - w = 2 - 55. Suppose 3*b + 23 = 2*b - 5*o, 2*b = -5*o - 21. Solve -3*q - b*q = -h for q. 2 Let c be 4/(-10) - 840/(-100). Let j be (-1)/(-4) + (-19)/(-4). Solve -d = -j*d - c for d. -2 Suppose -6 + 3 = -s. Suppose 0 = -b + 6 - s. Suppose -g = 1 - b. Solve 2*j = -g - 2 for j. -2 Let h be 4 + -3 + -1 - (-2 - 2). Solve h = -3*m - 5 for m. -3 Let n be 4/18 + (-2)/9. Let a be 6 - 6 - (n + -3). Suppose 0 = a*g + 9, r - g + 12 = -6*g. Solve -12 = 3*x - r for x. -3 Let c = -53 + 22. Let m = -40 + 95. Let n = c + m. Solve 1 = 5*o - n for o. 5 Suppose -9 = -5*b + 6*b. Let n(q) = q**2 + 7*q - 8. Let j be n(b). Solve -10 - j = -5*w for w. 4 Suppose 2*h = -0*h + 2*q + 6, 4*h + 5*q - 21 = 0. Suppose h = a + 2. Suppose -4*g = 0, t = 3*t - a*g. Solve 0 = -t*o + o - 4 for o. 4 Let w(y) = -2*y - 6. Let k be w(-6). Let v = k - 6. Let z be (12/10)/(10/25). Solve 9 = -v*o + z*o for o. 3 Let l = 15 - 10. Let b = l - 2. Let o = -311 - -323. Solve 0*y + b*y = -o for y. -4 Let x(s) = -s**3 - 9*s**2 - 11*s - 2. Let k be x(-8). Suppose 5*a = -y - 0 + k, 0 = 2*a - 4*y. Solve 3 = -a*t - 17 for t. -5 Let y(l) = l**2 + 6*l - 18. Let r be y(-9). Let z(p) = 8*p**2 - 5*p**3 - 3*p**2 + 2 + 4*p**3. Let x be z(5). Solve 0 = x*u + u - r for u. 3 Let m = 18 - 9. Suppose 0 = 3*r + 3*x - m, -r = -6*r - 2*x + 12. Solve r = -0*p - 2*p for p. -1 Suppose -2*m + 4 = 4*t, 5*m + 0*m - 10 = -4*t. Let v be t + -2 + 1 + 1. Solve v = 3*k + k for k. 0 Let f(z) = -2*z**2 - z + 5. Let l be f(0). Solve 0 = -l*r - 2 - 3 for r. -1 Let g = 9 - -1. Suppose -f - 3*t = -g, -3*t + 1 = -5*f - 3. Suppose 5*d + 5*v = 5, -1 - f = v. Solve 0*j - d*j = 0 for j. 0 Let j = 207 + -147. Let y be (-2)/3*j/(-2). Solve -q + 5*q - y = 0 for q. 5 Let l = -12 + 16. Let p(a) = a + 3. Let y be p(l). Solve -5*h = -8 - y for h. 3 Let s = -37 + 39. Suppose 5*w - 1 - 19 = 0. Suppose 0 = i - o - 2*o - 11, -w*i + 16 = 2*o. Solve s + 8 = -i*q for q. -2 Suppose 2*h = 3*f + 5*h, -5*f = 4*h. Let s = f + 0. Solve -3*u + u - 4 = s for u. -2 Suppose -4*v + 3*v = 0. Solve v = f - 0*f for f. 0 Let j(w) = -w**2 + 3*w - 2. Let m be j(3). Let u be (-70)/(-22) - m/(-11). Solve -2 = i - u*i for i. 1 Let t be 33/5 + (1 - 24/15). Solve t*o - 4*o = -4 for o. -2 Let d(b) = b**3 - 10*b**2 - 10*b - 5. Let h be d(11). Suppose 5*m - 30 = -5*x, 0 = -0*m + 2*m - x. Solve -g = m*g - h for g. 2 Let x = 1 + -1. Suppose -5*j = -x*j + l - 13, -j + 17 = 5*l. Solve -a - j*a = 3 for a. -1 Let l(p) = -p + 3. Let k(n) = -n**3 + 8*n**2 - 3. Let g be k(8). Let w be l(g). Let r be 26/w - 2/(-3). Solve 2*y + r = y for y. -5 Let j be 69/21 + 2/(-7). Solve -l = -j*l - 2 for l. -1 Let a(o) = -o**2 - 4*o + 4. Let q be a(-4). Let z be (-168)/27 + (-4)/(-18). Let l be (-2)/(-3) - (-4)/z. Solve l = -t + q + 1 for t. 5 Let o(l) = -l**3 + 8*l**2 + 4*l - 17. Let w be o(8). Solve 3*z + 0 = -w for z. -5 Let q be (3/(-2))/(6/(-32)). Suppose -x - 5 = -2*g, -4*x - 3*g + q*g - 11 = 0. Let d(m) = -m**2 - 9*m + 10. Let t be d(-10). Solve -5*c + x - 26 = t for c. -5 Let v = 4 - 2. Let z be v/(-6) - 32/3. Let l = -7 - z. Solve k + l = 3*k for k. 2 Suppose 3*y = -5*y + 16. Solve 0 = y*l + 2*l for l. 0 Suppose -6*x - 20 = -11*x. Solve x*r + 16 = 8*r for r. 4 Suppose 4*n + 20 = 0, 3*s + 2*n = n + 25. Let u(z) = -z**3 + 11*z**2 - 11*z + 15. Let x be u(s). Suppose 3 = 2*b - b. Solve -x*o - 12 = b for o. -3 Let o(i) be the second derivative of -i**3/6 + 5*i**2/2 + 2*i. Let x be o(5). Let w = 3 - -3. Solve w*l - 7*l - 5 = x for l. -5 Let a(r) = -r - 10. Let u be a(-10). Solve k + u = 1 for k. 1 Let l be 12 + (-6)/(-15)*5. Let j = l - 14. Solve -4*a + 6 + 2 = j for a. 2 Suppose -2*o - 4*f = 3 + 1, -6 = 2*f. Suppose -o*g = 2 - 22. Let j be 0 - -2 - (-1 - -3). Solve j = -5*u - g - 10 for u. -3 Let y(q) = -q**2 - 6*q + 2. Suppose -32 + 8 = -4*c. Suppose 4*v - 12 = c*v. Let x be y(v). Solve 0 = 2*s + x*s for s. 0 Let r(n) = n**2 + 2. Let x be r(-2). Let q(v) = -v + 7. Let i be q(x). Solve -9 = -4*g - i for g. 2 Let a(p) = p**3 + 3*p**2 - 3*p + 4. Let z be a(-4). Solve -m = -z - 4 for m. 4 Let d be 5 + 3/(9/15). Solve y = -y - d for y. -5 Suppose 3*s - 5 = 19. Suppose 0 = 3*p - 32 + s. Solve -17 = -5*u + p for u. 5 Suppose 6*g - 235 = g. Let o = g + -27. Solve 3*r - o = -r for r. 5 Let f(p) = p + 11. Let u be f(-8). Solve 0 = -i - 0*i + u for i. 3 Let m = 63 - 63. Suppose -15 + 0 = 5*x. Let t be x/(3*-1) + 2. Solve -t*i = -m*i for i. 0 Suppose 3*q + 1 = 7. Let n be ((-5)/q - 0)*-2. Suppose 0 = -n*z - 4*s + 24, 0 = -4*z + 3*z + 3*s + 1. Solve -z*l = -l for l. 0 Suppose 2*i + i - 18 = 0. Let g(n) = n**2 - 6*n + 8. Let o be g(i). Solve 4*s + 12 = -o for s. -5 Let k be 12/18 - (-4)/(-6). Suppose 2*p = -k*p + 4. Solve p*z = -4 - 2 for z. -3 Let p(a) = 4*a - 2 - 5*a**2 + 3 + 4*a**2. Suppose 2*f - 4*w + w = 21, -f - 12 = 3*w. Let q be p(f). Solve -5*b + b + q = 0 for b. 1 Let i be (1 + 0)/((-1)/(-7)). Let p = 1 + i. Solve -p = z + z for z. -4 Let d(p) = -p**2 - 5*p - 5. Let b be d(-4). Let q = 2 + b. Solve 0 = v - 0*v - q for v. 1 Let b(x) = -x**3 + 7*x**2 - 5*x + 6. Let f be b(6). Suppose -5*j - a + f = -2*j, -2*j + 2*a = 0. Solve j*w - 4*w = -5 for w. 5 Suppose 0 = -2*w + 3*w - 2. Suppose 0 = v - w. Suppose 0 = y - 3*y - 3*d - 6, -y + 4 = -v*d. Solve y = 2*k - 1 + 5 for k. -2 Let t be ((-15)/4)/((-6)/(-16)). Let q be 6/(-4)*(t + 0). Solve -7*i = -2*i + q for i. -3 Let o = 11 + -6. Suppose -o*v = -3*n, 6*n = n + v + 22. Solve 4 = n*x - 11 for x. 3 Let b be (-1)/((-16)/(-20) - 1). Suppose -5*q = -7*q + 2, -b*q + 5 = 2*p. Solve 2*j - 8 - 2 = p for j. 5 Suppose 0 = m + 3, m - 30 = -2*d + d. Suppose 5*t = -d - 87. Let f = 35 + t. Solve f = -3*j + 26 for j. 5 Let l be 48/22 + 12/(-66). Let g be (l/6)/(4/24). Solve -2*k + 4*k = -g for k. -1 Let a(v) be the third derivative of v**4/24 + 2*v**3 + v**2. Let d be a(-10). Solve -4 = 4*o - d*o for o. -2 Let f be 6/8 + 3/(-4). Solve f = -u - 0 + 5 for u. 5 Let d be 7 - (2 - 4)*-2. Suppose -5*v + v + 8 = 0. Solve -d + 9 = v*r for r. 3 Let d(l) = -1 - l + 5 - l**2 + 0*l - 2. Suppose 0 = 4*y - 2*v + 18, 3*y = 5*v - v - 26. Let c be d(y). Solve c*x - 2*x = -6 for x. 3 Suppose x + x = 6. Let h = 3 - x. Solve h = a + a - 8 for a. 4 Suppose -2*r + 3*s + 3 + 3 = 0, -3*s - 6 = 0. Solve r = i - 1 for i. 1 Let p(t) = t**2 + 5*t. Let a be p(-5). Let m be (3/(-2))/((-5)/10). Suppose 3*c + 4*s + 3 = 0, 2*c - m = -3*c - 4*s. Solve c*o + 0*o = a for o. 0 Let p be 2/(-6) + 14/6. Let n = -150 + 159. Solve n + 1 = p*r for r. 5 Suppose 3*l - 11 = 13. Solve 3*w = w - l for w. -4 Let l be ((-20)/6)/(-2)*3. Let u = l + -2. Suppose 24 = 4*d - 2*v - 0*v, 0 = u*v. Solve -s - s + d = 0 for s. 3 Let r be (-3 - 1)/((-5)/(-5)). Let u be (-36)/(-16) + 1
{ "pile_set_name": "DM Mathematics" }
derivative of 777899401*y**3 + 13840551*y**2 + 2*y - 10? 4667396406 Find the third derivative of 1622860*p**3 - 10*p**2 + 1486915*p. 9737160 What is the second derivative of 157295899*p**2*v**3*w**2 - 254*p*v**2*w**2 - 18767*p*v**2 + 2*p*v*w**2 - v**3*w**2 + v**3*w - 2*w wrt p? 314591798*v**3*w**2 Find the second derivative of -14*r**5*w**2 + 2413*r**5 + 5191*r*w**2 + 926*r wrt r. -280*r**3*w**2 + 48260*r**3 Differentiate -h**2*m**3 - 22753866*h**2*m**2 - 15*m**3 - 509415*m - 5 with respect to h. -2*h*m**3 - 45507732*h*m**2 What is the third derivative of 8450617*v**3 - 532700*v**2 + 3? 50703702 What is the third derivative of 5336720*i**5 + 666477*i**2 + 11? 320203200*i**2 What is the second derivative of -3121221*j**2 - 12*j - 5118 wrt j? -6242442 Find the first derivative of 3*c**4 + 36281*c*q**3 + 2*q**3 - 11*q**2 - q + 6807 wrt c. 12*c**3 + 36281*q**3 Find the second derivative of 17880*h**3*j*q**2 + 14*h**3*j*q + 227*h**2*j*q**3 + 13*h*j*q - 10*h*q - 2*j + 102*q wrt q. 35760*h**3*j + 1362*h**2*j*q What is the second derivative of -f**4*m**2 + 11768223*f**2*m**3 + 27*f*m**2 - 28322*m**3 wrt f? -12*f**2*m**2 + 23536446*m**3 What is the third derivative of 156976470*i**3 + 24*i**2 + 209897 wrt i? 941858820 Differentiate t*w**2 + 93*t + 463*w**2 + 170140*w + 1601270 wrt w. 2*t*w + 926*w + 170140 What is the third derivative of -183344122*f**3 + 7913*f**2 - 13981 wrt f? -1100064732 What is the third derivative of 28*n**5 - 70380*n**4 - 2*n**3 + 11171227*n**2? 1680*n**2 - 1689120*n - 12 What is the third derivative of -13521114*p**4 + 161*p**2 - 3267*p - 1? -324506736*p What is the second derivative of 1495322*m**3*o**2*w + 40*m**3*o**2 - 8*m**3*o - 13*m**3 - 4*m**2*w + 2*m*o**2 - 7*m*o + 25*o*w + w wrt o? 2990644*m**3*w + 80*m**3 + 4*m Differentiate -120612453*c**2 + 311218172. -241224906*c What is the second derivative of 313*i**3*r + 2*i**3 + 1025*i**2*r + 3*i**2 + 1681*i*r - 9*i + 5*r - 12 wrt i? 1878*i*r + 12*i + 2050*r + 6 Find the second derivative of -439*a**3 - 29615*a**2*o**2 - 12*a*o**2 + 6021*o**2 - 135*o wrt a. -2634*a - 59230*o**2 Differentiate 2*g**3*o + 341605582*g**3 - 79456967*g**2*o with respect to o. 2*g**3 - 79456967*g**2 What is the second derivative of 189362350*r**2 + 198728507*r wrt r? 378724700 What is the second derivative of 795550*a*w**2 - 31*a + 2*w**2 + 56083*w wrt w? 1591100*a + 4 What is the derivative of -36*m**2*u**3 + 2860*m*q**2 + 272895*q**2 + u**3 - 4*u wrt m? -72*m*u**3 + 2860*q**2 Find the second derivative of 34306256*g**3 + 48922421*g. 205837536*g Differentiate -1234415*q**4 - 3214016 with respect to q. -4937660*q**3 Find the third derivative of -2431556*k**4 - 13*k**3 + 2*k**2 - 8922968*k + 6. -58357344*k - 78 What is the second derivative of -249383879*o**5 + 627*o - 25785? -4987677580*o**3 Find the third derivative of 225*d**3*l**2*r**3 - 143021*d**3*l - 10*d**2*l**2*r**2 - l**2*r**3 + 32258*l**2*r**2 wrt d. 1350*l**2*r**3 - 858126*l What is the second derivative of 1543*h**2*r**2 - 226*h**2*r - 263*h*r - 84*h + 501*r**2 + r wrt r? 3086*h**2 + 1002 Find the first derivative of 8488731*y + 5695119 wrt y. 8488731 Find the second derivative of 18139691*u**3 + 70050602*u. 108838146*u What is the third derivative of 379698230*y**6 - 53505683*y**2 + 5 wrt y? 45563787600*y**3 What is the derivative of 98*m**3 + 103694*m + 267159257? 294*m**2 + 103694 Find the first derivative of -323809332*y + 307511824 wrt y. -323809332 Differentiate -14*s**3 - 3818987*s**2 - 57244407 with respect to s. -42*s**2 - 7637974*s Find the third derivative of -673446*r**6 - 107*r**4 + 33364654*r**2 wrt r. -80813520*r**3 - 2568*r What is the derivative of -75*m**3*z + 14*m**3 - 16*m**2*z - 34*m**2 - 631*m + 314*z - 2 wrt z? -75*m**3 - 16*m**2 + 314 What is the third derivative of 3812934*j**5 + 2*j**2 - 10541370? 228776040*j**2 What is the second derivative of -14153813*o**2 + 46591172*o? -28307626 What is the second derivative of -2951613*t**2 + 136766692*t? -5903226 What is the second derivative of -6890643*v**4 + 9340775*v wrt v? -82687716*v**2 What is the first derivative of -24910094*o - 23744285 wrt o? -24910094 What is the derivative of -1806858*j**2 - 2*j + 11985257? -3613716*j - 2 Find the third derivative of -6645*l**6 + 59291*l**3 + 131815258*l**2 - 1 wrt l. -797400*l**3 + 355746 What is the third derivative of 336*a*g**3*t**2 + 811*a*g**3*t - 20*a*g**3 + 694*a*g**2*t**2 - 3398*a*t + g*t**2 wrt g? 2016*a*t**2 + 4866*a*t - 120*a What is the second derivative of -1564*m**4 - 18*m**3*y + 77*m**2*y - 192360*m*y - 23*y wrt m? -18768*m**2 - 108*m*y + 154*y Differentiate 9*v*y**2 - 424934*v - 6885554*y**2 with respect to v. 9*y**2 - 424934 Find the third derivative of -3*b*n**3 + 8*b*n**2 - 8541905*n**3 - 15503285*n**2 wrt n. -18*b - 51251430 Differentiate 58502573*z**4 + 46476285 with respect to z. 234010292*z**3 What is the first derivative of 17621*c**4 - 632*c - 69682182? 70484*c**3 - 632 What is the derivative of -50053709*z + 57171529? -50053709 Find the second derivative of 48545635*x**2 - 257*x - 96196. 97091270 What is the second derivative of -191505*m**3*t**2 + 7*m**3*t - 10*m**3 - 2043*m**2*t - 12*m*t**2 - 2*m*t + 5*t**2 + 2*t wrt t? -383010*m**3 - 24*m + 10 Find the second derivative of 21396042*k**3*y**2 + 16*k**3*y - 79581*k*y wrt y. 42792084*k**3 What is the third derivative of -3251470*b**3*q**3 + b**2*q**3 + 67*b*q**3 - b*q**2 + 203*q**3 wrt b? -19508820*q**3 Differentiate -157706*f**4 - 7*f - 26019993. -630824*f**3 - 7 What is the second derivative of -3070607*i**2 + 1348*i + 2085? -6141214 Find the second derivative of -25320820*z**2 - 7787251*z. -50641640 Differentiate -8616*b*t**2 - 11*b*t - 98843650*b + 69*t**2 wrt t. -17232*b*t - 11*b + 138*t Differentiate 5*s*x**2 + 22*s*x - s + 210342*x**3 + 22540330 with respect to x. 10*s*x + 22*s + 631026*x**2 Find the second derivative of -272652208*b**4 + 91645176*b wrt b. -3271826496*b**2 Differentiate 3117846*h - 12082644 wrt h. 3117846 Find the second derivative of 211088343*c**3 + 8*c - 21067227 wrt c. 1266530058*c Find the third derivative of 3*y**5 + 374813*y**4 - 6*y**3 - 61054045*y**2 wrt y. 180*y**2 + 8995512*y - 36 Differentiate 243371986*t + 384867969 wrt t. 243371986 What is the second derivative of 18845324*w**2 + 10547740*w wrt w? 37690648 What is the third derivative of 70234516*d**4 + 26*d**2 - 64*d + 508 wrt d? 1685628384*d Differentiate 4936753*i**3*o**4 - 2148*i**3 - 3*i**2 + 22*i - 1 wrt o. 19747012*i**3*o**3 Find the third derivative of -1771*g**5 + 2682*g**3 - 11227785*g**2 wrt g. -106260*g**2 + 16092 Find the second derivative of -57*f**3*v**2*w**2 + 2*f**3*v**2 - 3695*f**3*v*w + 2*f*v**2*w + 140534*v**2*w**2 - 3*v**2*w + v*w - w wrt w. -114*f**3*v**2 + 281068*v**2 What is the third derivative of -914457*g**5*z**3 - 6*g**3*z**3 - 4*g**2*z**3 - 847*g**2*z**2 + 2*z**3 + 1 wrt g? -54867420*g**2*z**3 - 36*z**3 What is the third derivative of -12142793*h**3 - 5*h**2 + 382*h + 676 wrt h? -72856758 What is the derivative of 16*d**3*z + 3*d**2*z + d*z - 65959*d + 91485872*z wrt d? 48*d**2*z + 6*d*z + z - 65959 What is the second derivative of 61177*f**3*z**3 + 2939*f**3 + f**2*z - 77*f + 29*z**4 wrt z? 367062*f**3*z + 348*z**2 Find the third derivative of -816372988*k**3*t + 509*k**2*t + 94*k**2 - 28*k - 6*t wrt k. -4898237928*t What is the third derivative of 268719477*f**3 - 72*f**2 - 558*f + 29 wrt f? 1612316862 What is the derivative of 9*w*z**3 + w*z**2 + 943351*w*z - 3*z**3 + 2272*z**2 - 2*z - 336 wrt w? 9*z**3 + z**2 + 943351*z What is the second derivative of -58*q**3 - 727257*q**2 + 362390699*q? -348*q - 1454514 Find the third derivative of 3207*k**5 + 35468*k**4*o**3 + 4*k**2*o**2 - 3*k**2*o + 655*k*o**3 + 3*k*o - 80 wrt k. 192420*k**2 + 851232*k*o**3 What is the second derivative of -82*z**4 + 80457*z**3 + 9*z**2 + z + 209321818 wrt z? -984*z**2 + 482742*z + 18 Find the second derivative of 3*v**4 + 60606*v**3 + v**2 + 80246996*v wrt v. 36*v**2 + 363636*v + 2 What is the derivative of -1934008*o**3*s**2 - 97*o**3*s - 35*o**3 - 27*o + 17207 wrt s? -3868016*o**3*s - 97*o**3 Differentiate 1079*x**2 + 3674*x - 45498608. 2158*x + 3674 Find the first derivative of -190*k*n*z**2 + 2*k*n + 42731*k*z**2 - 65*n*z**2 + 2851713*n wrt k. -190
{ "pile_set_name": "DM Mathematics" }
at is next in -609, -1460, -2883, -4878, -7445? -10584 What is next in 923141, 923140, 923139? 923138 What is next in 553, 1100, 1637, 2164? 2681 What comes next: -28570, -57133, -85696? -114259 What is next in 125, -495, -1115, -1735, -2355? -2975 What is the next term in -10493, -10481, -10483, -10505, -10553, -10633, -10751, -10913? -11125 What is the next term in -329, -274, -173, -20, 191, 466, 811? 1232 What comes next: 24312, 24310, 24306, 24300? 24292 What is next in 447880, 447888, 447896, 447898, 447888, 447860? 447808 What is the next term in -963, -1985, -3067, -4209, -5411, -6673? -7995 What is the next term in 82953, 165901, 248849, 331797, 414745, 497693? 580641 What is the next term in -12676, -25329, -37982, -50635, -63288? -75941 What comes next: 1455, 2703, 3743, 4575, 5199, 5615, 5823? 5823 What comes next: 566, 858, 1150? 1442 What is the next term in 53850, 53857, 53878, 53919, 53986, 54085, 54222, 54403? 54634 What comes next: 56, 118, 190, 272, 364? 466 What comes next: -186, -751, -1698, -3027, -4738, -6831? 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4962 What is the next term in -3279, -13091, -29451, -52365, -81839? -117879 What comes next: 3250, 3244, 3228, 3196, 3142, 3060, 2944? 2788 What is the next term in 1471, 1416, 1361, 1306? 1251 What is the next term in 332, 1454, 3328, 5960, 9356, 13522, 18464? 24188 What comes next: -83, -194, -379, -674, -1115, -1738? -2579 What is next in -1228, -1463, -1698, -1933, -2168, -2403? -2638 What comes next: -4571975, -4571977, -4571979, -4571981, -4571983, -4571985? -4571987 What comes next: -110, -44, 266, 940, 2098? 3860 What comes next: -29, -335, -841, -1541, -2429? -3499 What is next in -185, -347, -483, -587, -653? -675 What comes next: 2588, 10363, 23324, 41471, 64804, 93323, 127028? 165919 What is the next term in 634, 1561, 2488? 3415 What is next in 807, 800, 797, 798, 803, 812? 825 What is next in 44, 46, 48? 50 What is next in 1102806, 2205611, 3308416? 4411221 What comes next: 14865, 14838, 14811, 14784? 14757 What comes next: -160742, -160748, -160756, -160766, -160778? -160792 What is next in 8810, 8816, 8828, 8846, 8870? 8900 What is the next term in -2193, -2219, -2245, -2271, -2297? -2323 What is next in 127, 683, 1671, 3091, 4943, 7227, 9943? 13091 What comes next: 45378, 45376, 45374, 45372? 45370 What is next in 216, 292, 360, 420? 472 What is next in -2668, -2663, -2658, -2653? -2648 What is next in -3562, -14534, -32908, -58678, -91838, -132382, -180304? -235598 What is the next term in 1137, 2283, 3431, 4581? 5733 What is next in 22401, 22398, 22389, 22368, 22329, 22266? 22173 What comes next: 24835, 49669, 74503, 99337? 124171 What is next in 159, 195, 229, 261, 291, 319, 345? 369 What is next in -18734, -18692, -18648, -18602? -18554 What is next in 759, 2983, 6701, 11919, 18643, 26879, 36633? 47911 What is the next term in 476, -23, -848, -1993, -3452, -5219, -7288? -9653 What comes next: -194, -235, -298, -383, -490? -619 What comes next: -6995, -7122, -7249, -7376? -7503 What is next in 521, 781, 1041? 1301 What is next in 48103, 192407, 432917, 769633, 1202555, 1731683? 2357017 What is the next term in -279, -20, 239? 498 What is the next term in -76825, -76826, -76827, -76828? -76829 What comes next: -1750, -1948, -2146, -2344, -2542? -2740 What is the next term in 503, 1318, 2685, 4610, 7099? 10158 What is the next term in 342018, 342019, 342020, 342021, 342022? 342023 What is next in 177, 1376, 4601, 10866, 21185, 36572, 58041, 86606? 123281 What is next in 702, 2415, 5260, 9231, 14322, 20527, 27840, 36255? 45766 What is next in 199057, 398164, 597273, 796384, 995497, 1194612, 1393729? 1592848 What is the next term in -77299, -77297, -77295? -77293 What comes next: -944, -3724, -8342, -14798, -23092, -33224? -45194 What is the next term in 14308, 28612, 42916, 57220, 71524? 85828 What comes next: 204, 161, -134, -681, -1480, -2531, -3834? -5389 What is next in 11097, 11092, 11085, 11076, 11065, 11052? 11037 What is the next term in -13790, -55112, -123982, -220400, -344366, -495880, -674942? -881552 What comes next: -516, -815, -1318, -2031, -2960, -4111? -5490 What is next in -79292, -317165, -713620, -1268657, -1982276? 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-50035 What is the next term in -449, -787, -1135, -1499, -1885? -2299 What comes next: -879, -1806, -2739, -3678, -4623? -5574 What is next in -147, -1003, -3321, -7833, -15271, -26367? -41853 What is next in 24614, 24615, 24616, 24617? 24618 What is next in 1837, 1833, 1825, 1813? 1797 What is the next term in 9224, 73818, 249146, 590576, 1153476, 1993214, 3165158? 4724676 What is next in 122, 88, 56, 26, -2, -28, -52? -74 What is the next term in -77632, -77624, -77612, -77596? -77576 What comes next: -28460, -113945, -256428, -455915, -712412, -1025925, -1396460, -1824023? -2308620 What comes next: -1333, -1369, -1467, -1657, -1969? -2433 What is next in 4575, 4591, 4573, 4515, 4411, 4255, 4041? 3763 What is next in 15, -128, -513, -1260, -2489? -4320 What is next in -7, 169, 491, 965, 1597, 2393, 3359, 4501? 5825 What comes next: -1090, -1565, -2356, -3463, -4886, -6625? -8680 What is next in 14, 210, 574, 1112, 1830, 2734, 3830? 5124 What is the next term in 122, 174, 300,
{ "pile_set_name": "DM Mathematics" }
rom nwwnnnnngnng. 112/495 Three letters picked without replacement from {f: 1, d: 2, y: 1, v: 1}. Give prob of picking 2 d and 1 v. 1/10 Three letters picked without replacement from pknpmimq. Give prob of picking 2 p and 1 k. 1/56 Calculate prob of picking 1 n and 1 y when two letters picked without replacement from svnsyn. 2/15 What is prob of picking 1 a and 1 i when two letters picked without replacement from {x: 2, i: 1, h: 7, p: 1, a: 5}? 1/24 Three letters picked without replacement from exuxuxoxxoxo. What is prob of picking 2 x and 1 e? 3/44 Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, k: 3}. 1/10 Three letters picked without replacement from {e: 1, w: 2, b: 4, c: 3}. Give prob of picking 1 e and 2 c. 1/40 Two letters picked without replacement from yyyhh. Give prob of picking 1 y and 1 h. 3/5 Two letters picked without replacement from {y: 1, x: 1, i: 1}. Give prob of picking 1 i and 1 x. 1/3 Two letters picked without replacement from uqiq. Give prob of picking 2 q. 1/6 Calculate prob of picking 2 j and 1 x when three letters picked without replacement from {j: 7, x: 2}. 1/2 Three letters picked without replacement from {i: 11, l: 9}. What is prob of picking 2 i and 1 l? 33/76 Four letters picked without replacement from {l: 1, c: 4, d: 3, i: 6, f: 2}. What is prob of picking 1 i and 3 c? 6/455 What is prob of picking 2 p when two letters picked without replacement from {p: 11, w: 1}? 5/6 Four letters picked without replacement from {w: 7, i: 5}. What is prob of picking 2 i and 2 w? 14/33 What is prob of picking 1 a and 1 u when two letters picked without replacement from jwjsajaajsssujj? 1/35 Three letters picked without replacement from {w: 1, n: 1, y: 1, d: 6}. What is prob of picking 3 d? 5/21 Two letters picked without replacement from bbbkbbbkbbkbkbgbkbbb. Give prob of picking 2 b. 91/190 What is prob of picking 1 c and 3 l when four letters picked without replacement from kbbcullklkblbb? 4/1001 Calculate prob of picking 1 w, 1 u, and 1 t when three letters picked without replacement from {t: 2, d: 1, j: 3, a: 4, u: 1, w: 1}. 1/110 Two letters picked without replacement from {x: 2, y: 16}. Give prob of picking 2 y. 40/51 What is prob of picking 3 x when three letters picked without replacement from zrrrrzxzrxrzqzxrrff? 1/969 What is prob of picking 2 z when two letters picked without replacement from {e: 2, s: 1, t: 1, z: 2}? 1/15 What is prob of picking 2 d when two letters picked without replacement from {d: 5, u: 2}? 10/21 Four letters picked without replacement from kcikkkian. Give prob of picking 2 i and 2 k. 1/21 Four letters picked without replacement from {q: 3, r: 5, v: 3, k: 1}. What is prob of picking 1 k, 2 r, and 1 v? 2/33 Calculate prob of picking 1 r and 1 f when two letters picked without replacement from fyrqt. 1/10 What is prob of picking 1 m and 2 u when three letters picked without replacement from {u: 4, c: 6, m: 4, h: 3}? 3/85 Calculate prob of picking 1 i and 1 e when two letters picked without replacement from aaikaqe. 1/21 Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {e: 2, w: 7, n: 1}. 2/45 Four letters picked without replacement from {k: 2, a: 1, e: 3, r: 3, t: 8, p: 1}. Give prob of picking 3 e and 1 p. 1/3060 What is prob of picking 2 o when two letters picked without replacement from ebedbbadeeoeeoa? 1/105 Two letters picked without replacement from abxxbttaaaatbamaaxaa. Give prob of picking 2 a. 9/38 Two letters picked without replacement from tetteetettttttet. Give prob of picking 2 t. 11/24 What is prob of picking 1 t, 2 v, and 1 b when four letters picked without replacement from vtxvvbtfvv? 2/21 Two letters picked without replacement from kjkkjjkyykkjk. What is prob of picking 2 k? 7/26 What is prob of picking 1 w, 1 x, 1 f, and 1 h when four letters picked without replacement from wsoohxwwxsfw? 8/495 Three letters picked without replacement from {e: 8, t: 2}. Give prob of picking 2 t and 1 e. 1/15 What is prob of picking 2 q and 1 s when three letters picked without replacement from sqqqqsqqsqqqqqqq? 117/280 Calculate prob of picking 2 v when two letters picked without replacement from {v: 3, o: 11}. 3/91 Three letters picked without replacement from zzzzzzz. What is prob of picking 3 z? 1 Calculate prob of picking 1 l and 1 u when two letters picked without replacement from jujuuuljjjujujjjjj. 2/51 Calculate prob of picking 2 k and 1 j when three letters picked without replacement from rvkejrk. 1/35 What is prob of picking 3 p when three letters picked without replacement from {p: 7, a: 2}? 5/12 Two letters picked without replacement from bebnbbbahaa. Give prob of picking 1 b and 1 a. 3/11 What is prob of picking 1 z and 1 i when two letters picked without replacement from {z: 11, i: 1}? 1/6 Three letters picked without replacement from {c: 2, a: 8, l: 3, z: 2}. What is prob of picking 2 l and 1 z? 6/455 Four letters picked without replacement from {t: 9, v: 7}. Give prob of picking 4 t. 9/130 Four letters picked without replacement from {k: 1, b: 2, p: 2, o: 6}. What is prob of picking 1 k, 1 o, and 2 p? 1/55 Calculate prob of picking 2 r and 1 d when three letters picked without replacement from {d: 5, r: 8}. 70/143 What is prob of picking 1 u, 2 y, and 1 p when four letters picked without replacement from puupuppupyypp? 28/715 Three letters picked without replacement from zuuuvvvzuvuuu. What is prob of picking 2 v and 1 u? 21/143 What is prob of picking 1 c, 1 f, and 1 t when three letters picked without replacement from {c: 2, w: 2, f: 2, t: 1, r: 1}? 1/14 Calculate prob of picking 1 m and 1 s when two letters picked without replacement from qaaawaqahhhmaaasm. 1/68 Three letters picked without replacement from {v: 2, d: 2, h: 4}. What is prob of picking 3 h? 1/14 Two letters picked without replacement from {d: 10, a: 1, c: 1, e: 5}. What is prob of picking 1 a and 1 d? 5/68 Four letters picked without replacement from {p: 1, l: 1, j: 4, q: 1, e: 5}. Give prob of picking 4 j. 1/495 Three letters picked without replacement from rxdftef. What is prob of picking 1 r, 1 x, and 1 f? 2/35 What is prob of picking 1 g and 1 l when two letters picked without replacement from pkqgrkprrkplkpkrkk? 1/153 Two letters picked without replacement from {b: 9, d: 5}. Give prob of picking 2 b. 36/91 What is prob of picking 1 b and 1 h when two letters picked without replacement from {o: 1, b: 1, g: 3, u: 1, h: 1}? 1/21 Three letters picked without replacement from vvyyevv. What is prob of picking 1 e, 1 y, and 1 v? 8/35 Two letters picked without replacement from yyyyywyyyyyy. Give prob of picking 2 y. 5/6 Three letters picked without replacement from {b: 7, a: 1, s: 10}. What is prob of picking 1 a and 2 s? 15/272 Two letters picked without replacement from {a: 2, j: 3, u: 1, z: 6, q: 5}. What is prob of picking 2 a? 1/136 Two letters picked without replacement from {o: 1, r: 6, n: 1, z: 3, w: 3}. Give prob of picking 2 z. 3/91 Four letters picked without replacement from kjjjkkk. Give prob of picking 1 k and 3 j. 4/35 Three letters picked without replacement from {c: 10, g: 9}. Give prob of picking 3 c. 40/323 Calculate prob of picking 3 u when three letters picked without replacement from uauubuauaubaaaaaa. 1/34 Two letters picked without replacement from egmetmeggxxwmw. Give prob of picking 1 x and 1 m. 6/91 What is prob of picking 1 o and 1 i when two letters picked without replacement from {i: 2, o: 8}? 16/45 Three letters picked without replacement from kkkqbqk. What is prob of picking 2 q and 1 k? 4/35 Three letters picked without replacement from {g: 13, d: 5}. What is prob of picking 2 d and 1 g? 65/408 Two letters picked without replacement from yyyyyy. Give prob of picking 2 y. 1 Two letters picked without replacement from {a: 1, i: 1, n: 1, j: 2, o: 1, x: 1}. Give prob of picking 2 j. 1/21 Four letters picked without replacement from {o: 3, x: 3, y: 13}. What is prob of picking 1 o, 2 y, and 1 x? 117/646 Four letters picked without replacement from {u: 6, x: 7}. What is prob of picking 2 u and 2 x? 63/143 Three letters picked without replacement from sbystsbzbsgtbbss. What is prob of picking 1 y and 2 t? 1/56
{ "pile_set_name": "DM Mathematics" }
c(o) = 7*o + 33. Let r be c(-6). Let n(l) = -3*l**3 + l**2 + 4*l - 29. Is n(r) prime? True Let u = 989 - 2245. Suppose -2*f + 3986 = 236. Let h = u + f. Is h composite? False Let k(p) = 271*p**3 + 5*p**2 - 6*p - 27. Let o be k(6). Let m = o - 23458. Is m a composite number? True Let o = 612 - 590. Suppose 35*n - o*n - 2119 = 0. Is n a composite number? False Let q = 75 - 127. Is ((-13422)/8)/(39/q) prime? True Suppose -66*o + 84 = -52*o. Suppose -2*i - 4 = -z - 5, 3*z = -9. Is (i/o)/((-1)/201)*34 a composite number? True Suppose 0 = 17*z - 7*z - 347830. Let d = -3020 + z. Is d prime? False Let p(b) = 196311*b**2 - 12*b + 17. Is p(4) composite? True Suppose 4*l + d = 205, 0 = -41*l + 45*l + 2*d - 206. Is l a prime number? False Let n be -1 + (-68823)/21 - 2/(-7). Let z = -923 - n. Suppose -u + z = 2*u. Is u prime? False Suppose -590950 = -5*a - 8*m + 13*m, 0 = 3*a - 2*m - 354569. Is a prime? True Let y(q) = -q**3 - 4*q + 5. Let w be y(1). Suppose 9*g + 5*g - 76286 = w. Is g a prime number? True Is (252/294)/((90/(-2609418))/(-5)) prime? False Let u(s) = 29*s + 33. Let w be u(5). Is w*66 - (1 - 6 - -4) a composite number? True Let v(a) = 62*a + 15. Let s be v(16). Suppose -27355 = 1002*i - s*i. Is i a prime number? True Let b = 10872 - 3278. Is b a prime number? False Suppose 0 = -3*t + 15 + 15. Let n(r) = 98*r - 21. Let v(p) = 6*p - 1. Let i(b) = n(b) - 14*v(b). Is i(t) composite? True Let d(r) = 55*r**2 + 35*r - 11. Suppose 3*s - 22*s = 114. Is d(s) a composite number? False Let u be 10/25 - (-44)/(-10). Let k be ((-48)/u)/3 - 73. Let z = 22 - k. Is z prime? False Let k = -5569 - 2722. Let b = k - -17104. Is b prime? False Let i be 1*68/12*3. Let d(o) = 1 + 21*o**2 + 7*o + 13*o - i*o. Is d(5) prime? True Let i(m) be the second derivative of -16103*m**5/20 - m**4/6 + m**2 + 5*m + 7. Is i(-1) a prime number? True Let j = 51760 + -28843. Suppose -216*q = -219*q + j. Is q composite? False Let d(h) = -3*h - 39. Let j be d(-14). Suppose 4*x = -3*g - 15, 0 = -4*x + 5*g + j + 22. Is 2 + x + 569 + 12 prime? False Let u(a) be the first derivative of -27*a**2 - 15. Let g be u(-11). Let y = g - 283. Is y composite? False Let t(f) = -f**3 - 35*f**2 + 2*f + 46. Let w(m) = m**3 + 52*m**2 - 3*m - 69. Let o(c) = 8*t(c) + 5*w(c). Is o(-8) prime? True Suppose 0 = -2*v + 5*x + 15, 2*x - 1 + 7 = -2*v. Suppose v = -2*y + 4*r + 507 + 1509, -5*y + 5012 = -3*r. Let q = y - -949. Is q a composite number? False Let z(v) = 761*v - 42. Let m be (0 + -4 - -3)*(1 + -6). Is z(m) composite? True Suppose -6867 = 13*t + 8*t. Let c = t - -1808. Is c a prime number? True Let w = -22 + 59. Let x be 4/(-5) - (-130112)/40. Suppose -x = -41*m + w*m. Is m a composite number? True Suppose -30 + 45 = 5*v. Suppose 4*m - v*a = 2246, m + 2*a - 624 = -57. Is m a prime number? True Suppose 246*l - 101566168 = -31550386. Is l a prime number? False Let t(g) = g**3 - 8*g**2 - 3*g - 49. Let s be t(9). Let z(x) = 567*x - 16. Is z(s) prime? True Let t(l) = 3*l**3 + 18*l**2 - 18*l + 35. Let b(p) = -11*p**3 - 54*p**2 + 53*p - 104. Let a(n) = -2*b(n) - 7*t(n). Is a(20) a composite number? False Let p(v) = 4*v**2 + 7*v - 4. Let u be p(-3). Is 1693 + (-6 - (5 - u)) a prime number? True Let z = -595764 + 878815. Is z prime? True Let t be 744 + (-4)/(0 + 0 + -1). Suppose t = 13*m - 9*m. Is m composite? True Suppose -13165944 - 22818585 - 6498437 = -34*g. Is g prime? True Suppose 137*t - 218*t = -294921. Is t a composite number? True Suppose 38*g - 33*g = 4285. Suppose 3345 = 5*p - 5*n, 0 = -5*p - 2*n + 4195 - g. Let o = -467 + p. Is o a prime number? False Let u(k) = -k**2 - 9*k + 13. Let l be 10/(-2)*1*2. Let y be (-4 + 6)/(4/l). Is u(y) composite? True Suppose 15*k - 1414338 = 1816017. Is k a composite number? True Suppose -3*j = -21*g + 18*g - 525, -g + 4*j - 175 = 0. Let w(x) = 100*x - 6. Let z be w(-5). Let d = g - z. Is d prime? True Let n(g) = -2*g**2 + 6*g + 16. Suppose 15*p - 12*p - 21 = 0. Let m be n(p). Let s = m + 47. Is s a prime number? True Suppose 19166 - 5528 = 6*w. Suppose 0 = 5*g + s - w, -5*s + 469 = g - 0*s. Suppose 12*k = -10 + g. Is k composite? False Suppose 0 = -6*q + 4*q - 3*s - 35, -q = -3*s + 4. Is (-1)/(q/65) - -1*11896 a composite number? True Let m(v) = v**3 + 12*v**2 - 6. Suppose z = -q - 14, 4*q + 4 = 3*q + z. Let i be m(q). Suppose -4*o - i = -1729. Is o a prime number? True Let q(j) = -675*j + 469. Let v be q(-33). Suppose 13305 + v = 13*i. Is i composite? True Let d be 16839/(-4) + 20/(-16) + 1. Let v = 7737 + d. Suppose -522 = -w + v. Is w a composite number? False Let q(n) = 49*n**2 - 9*n - 71. Suppose 15*b = 17*b + 12. Is q(b) prime? True Let n = -4819 - -8360. Let y = n - -1504. Is (y/10)/((-3)/(-6)) a composite number? False Suppose 96*l - 105*l + 81 = 0. Suppose 4*b - 5*z - 48861 = 0, 0 = l*z - 4*z - 15. Is b prime? False Suppose 0 = 110*n - 159333798 - 120960172. Is n composite? False Is 11/(-2) - 1/(-2) - (46 - 363710) a prime number? True Let w = 17306 + 64505. Is w composite? True Suppose 18*o = o + 216206. Suppose -3*n + 4*n - k = o, 3*n - 38114 = -5*k. Is n prime? True Let q be -1*62/2 - (-8 - -5). Let t = 23 + q. Is (-12)/(-3) + t - -48 a composite number? False Let h(c) be the third derivative of c**3 + 0*c - 1/2*c**4 + 0 + 1/12*c**5 - 6*c**2. Is h(-9) composite? True Let z(f) = 589*f + 49. Let g(t) = -591*t - 52. Let s(y) = 5*g(y) + 6*z(y). Is s(25) a prime number? False Let y = 245 - 158. Suppose y*z - 89*z + 12834 = 0. Suppose -6*h + 15*h - z = 0. Is h a composite number? True Let b = -257 - -975. Suppose -b = f - 2369. Is f a composite number? True Let r(v) = v**3 + 14*v**2 + 14*v + 33. Let j be r(-8). Suppose 0 = -322*q + j*q + 179503. Is q prime? True Suppose 5*q - 103180 = -5*p, 10452 = q - 5*p - 10178. Is q prime? False Let k = -230 - 246. Is (-136)/k + 17160/14 composite? True Suppose 14*n - 21*n = -69*n + 33556756. Is n prime? False Suppose -7*j - 3*j = -1520. Let h = j + 29. Let g = 402 + h. Is g prime? False Suppose 55*d + 5729736 - 12610270 = 5018551. Is d a composite number? False Suppose 0*t + 5*t + 3*q - 4725 = 0, -4*t - 5*q + 3767 = 0. Suppose -4*b + 2*c + 233 = 221, 0 = b + 5*c + 8. Suppose -t - 2558 = -b*v. Is v a composite number? False Let y(h) = -h**3 + 14*h**2 - 101*h + 95. Is y(-31) a prime number? True Let v = 14329 - 597. Suppose 0 = 29*m - 99485 + v. Is m a composite number? False Suppose 5*o + 4*m - 13622 = 0, 11*o - 3*m - 13601 = 6*o. Is o/((-98)/(-21) + (-6 - -2)) composite? True Let j(h) = -165*h - 1. Let v(t) = 82*t + 1. Let q(d) = -2*j(d) - 5*v(d). Let c = -3 + -2. Is q(c) composite? False Suppose -71*p + 74138460 - 462988 = 137*p. Is p composite? False Let a be (405/12)/((-9)/96). Suppose 4*t = 5*w + 2963, 863 = -3*w - 5*t - 937. Let l = a - w. Is l a prime number? False Let s(g) = -g**3 - 14*g**2 - 8*g - 54. Let i be s(-15). Let y = -12 - 68. Let n = i + y. Is n a composite number? False Suppose 2*b + 4*x - 8 - 14 = 0, 0 = -4*b - 2*x + 20. Let h be -4 + ((4 - b) + -197 - -1). Let p = h - -4920. Is p a prime number? True Suppose 2*y = 5*w + 148447, 41*y - 44*y + 3*w + 222684 = 0. Is y a composite number? False Is (-15284)/(-6)*-5*231/(-110) a composite number? True Let w be 1 - 11/((-66)/18). Suppose -2*z - w*d + 41466 = 0, -4*z + 0*d + 82977 = -d. Is z prime? True Suppose -10*o + 171073 = -118477. Is o a prime number? False Is -2434*21/(-2) + ((-99)/(-11) - 5) a composite number? False Suppose -52 = -4*l - 2*y, -30*l + 4*y = -32*l + 44. Let t = -17 - -24. Suppose -6*p = -t*p + l. Is p prime? False Suppose 6*p = 387 - 27. Is 2707/5 - ((-156)/p - -3) a composite number? False Let t = 132 - 248. Let j = -112 - t. Suppose -2*c - c - a + 46 = 0, 0 = -5*c - j*a + 79. Is c prime? False Let w be -4*((-84)/16 - -4). Suppose 0*g - w*g + 36215 = 0. Is g prime? True Let p = -271932 + 503711. Is p prime? True Let y(i) be the first derivative of -118*i**2 - 29*i + 123. Is y(-7) composite? True Suppose 5*p = -0*k - 2*k + 31, 4*p - 4*k = 8. Suppose -26 + 36 = p*q. Suppose 2*r + 24450 = 4*n - 2922, 34197 = 5*n + q*r. Is n a prime number? True Is (16444/20)/((-1)/(-325)*5) composite? True Let f = -1871 + 1331. Let h be (-3)/(-18)*4*(f - 0). Let c = 133 - h. Is c a composite number? True Is (92874/(-207))/(8/(-1644)) a prime number?
{ "pile_set_name": "DM Mathematics" }
b of sequence zzi. 1/15 What is prob of sequence eg when two letters picked without replacement from {g: 2, s: 14, e: 1}? 1/136 Calculate prob of sequence dppd when four letters picked without replacement from {v: 4, r: 2, d: 4, p: 2}. 1/495 Four letters picked without replacement from {v: 17, g: 3}. Give prob of sequence vvgv. 2/19 Calculate prob of sequence dss when three letters picked without replacement from {s: 9, d: 3}. 9/55 What is prob of sequence cccs when four letters picked without replacement from {c: 13, s: 3}? 33/280 Three letters picked without replacement from {t: 1, i: 2, m: 9, h: 8}. What is prob of sequence iim? 1/380 Three letters picked without replacement from hhh. Give prob of sequence hhh. 1 Two letters picked without replacement from wmww. What is prob of sequence ww? 1/2 Three letters picked without replacement from burrrbrubbbrbruurub. What is prob of sequence uur? 70/2907 Three letters picked without replacement from fffffffff. What is prob of sequence fff? 1 Two letters picked without replacement from ffcggfmgffdfflfcl. Give prob of sequence ml. 1/136 Calculate prob of sequence hw when two letters picked without replacement from {w: 6, n: 1, h: 4}. 12/55 Two letters picked without replacement from dzyjjqyh. What is prob of sequence yy? 1/28 Four letters picked without replacement from {k: 6, i: 1, s: 3, q: 5}. What is prob of sequence ssik? 1/910 Four letters picked without replacement from baxbsaaxbabbbabb. Give prob of sequence sssx. 0 Three letters picked without replacement from {i: 15, s: 5}. Give prob of sequence isi. 35/228 What is prob of sequence gyg when three letters picked without replacement from {g: 3, y: 4}? 4/35 Three letters picked without replacement from gggggowodggodgdgwdd. Give prob of sequence ggw. 8/323 Three letters picked without replacement from {e: 2, t: 7}. What is prob of sequence ett? 1/6 Three letters picked without replacement from qghgqghqggqqgg. What is prob of sequence ggg? 5/52 Two letters picked without replacement from {p: 3, o: 1}. What is prob of sequence po? 1/4 Three letters picked without replacement from iiegiigigiieiigp. What is prob of sequence pig? 3/280 Calculate prob of sequence nnn when three letters picked without replacement from {n: 3, e: 3}. 1/20 What is prob of sequence anm when three letters picked without replacement from ymganmy? 1/105 Two letters picked without replacement from qiqqgxgqlx. What is prob of sequence qi? 2/45 Two letters picked without replacement from vhhhnwwhnhnw. What is prob of sequence ww? 1/22 Four letters picked without replacement from {j: 6, d: 6, s: 3}. What is prob of sequence jjsd? 3/182 Calculate prob of sequence imr when three letters picked without replacement from ucmscsmuumicr. 1/572 Calculate prob of sequence lr when two letters picked without replacement from llrlllllrllrlli. 11/70 Two letters picked without replacement from {c: 3, g: 15}. What is prob of sequence gg? 35/51 Four letters picked without replacement from {u: 10}. Give prob of sequence uuuu. 1 What is prob of sequence pg when two letters picked without replacement from pffwggwgfqf? 3/110 What is prob of sequence ww when two letters picked without replacement from wwgg? 1/6 Two letters picked without replacement from feeegfzzeezzgge. What is prob of sequence gz? 2/35 Three letters picked without replacement from {q: 2, a: 4, l: 7}. What is prob of sequence aaa? 2/143 What is prob of sequence sq when two letters picked without replacement from unipnsunsqqpnnniup? 2/153 What is prob of sequence njh when three letters picked without replacement from jnrjjhhrvjjch? 5/572 What is prob of sequence va when two letters picked without replacement from {a: 4, x: 5, v: 10}? 20/171 What is prob of sequence orvk when four letters picked without replacement from nonrknnrovmm? 1/2970 What is prob of sequence emm when three letters picked without replacement from {m: 3, e: 1}? 1/4 Calculate prob of sequence pp when two letters picked without replacement from {p: 3, b: 1}. 1/2 Four letters picked without replacement from {m: 5, o: 2, p: 1, s: 1, z: 1, h: 6}. Give prob of sequence hhpo. 1/728 Two letters picked without replacement from {t: 1, c: 10, k: 6}. What is prob of sequence cc? 45/136 Three letters picked without replacement from {d: 13, p: 1, o: 1}. Give prob of sequence opd. 1/210 What is prob of sequence dv when two letters picked without replacement from vhbdj? 1/20 Calculate prob of sequence gca when three letters picked without replacement from {g: 1, a: 1, x: 1, t: 1, c: 1}. 1/60 Four letters picked without replacement from {h: 1, o: 2, j: 1, c: 5, l: 7}. Give prob of sequence hooc. 1/4368 Two letters picked without replacement from {u: 5, n: 2, i: 4}. Give prob of sequence uu. 2/11 Three letters picked without replacement from yyryyryrrrrrrr. What is prob of sequence ryy? 15/182 What is prob of sequence pipn when four letters picked without replacement from pvavpiannvvpvoipv? 1/1190 Three letters picked without replacement from qqqxqqqqxx. What is prob of sequence qxx? 7/120 Four letters picked without replacement from {x: 1, j: 8, w: 2, e: 7}. Give prob of sequence eeww. 7/6120 Calculate prob of sequence tcc when three letters picked without replacement from ccct. 1/4 What is prob of sequence bfta when four letters picked without replacement from {b: 1, f: 1, n: 1, v: 3, a: 3, t: 2}? 1/1320 Two letters picked without replacement from dbbbbddcddbbdbddbc. What is prob of sequence cc? 1/153 Three letters picked without replacement from ssssrggomsgsmgr. Give prob of sequence ssm. 2/91 Two letters picked without replacement from tttttthtnhmtm. Give prob of sequence mt. 4/39 Three letters picked without replacement from {e: 1, t: 7, z: 1}. What is prob of sequence ttt? 5/12 Three letters picked without replacement from {g: 2, k: 5, x: 6, u: 1, v: 2}. What is prob of sequence xku? 1/112 What is prob of sequence abvk when four letters picked without replacement from {a: 1, k: 7, v: 4, n: 4, b: 3}? 7/7752 Calculate prob of sequence jij when three letters picked without replacement from {i: 3, j: 8}. 28/165 Four letters picked without replacement from {r: 3, z: 1, e: 13}. What is prob of sequence rzee? 39/4760 Three letters picked without replacement from ooesououio. Give prob of sequence ise. 1/720 What is prob of sequence sr when two letters picked without replacement from kpkdppkkpprkrsp? 1/105 What is prob of sequence cb when two letters picked without replacement from {b: 4, c: 12, z: 4}? 12/95 Calculate prob of sequence bogo when four letters picked without replacement from gbooa. 1/60 What is prob of sequence vp when two letters picked without replacement from ppppffvpfivv? 5/44 Calculate prob of sequence ene when three letters picked without replacement from {k: 8, n: 5, e: 3}. 1/112 What is prob of sequence ddd when three letters picked without replacement from dddddddddd? 1 Three letters picked without replacement from {p: 1, m: 1, q: 7, w: 7, i: 2}. Give prob of sequence qpw. 49/4896 Three letters picked without replacement from clccxskollx. What is prob of sequence sck? 1/330 Calculate prob of sequence bf when two letters picked without replacement from {w: 1, b: 4, f: 2}. 4/21 What is prob of sequence mh when two letters picked without replacement from eemmehmehhhemm? 10/91 Calculate prob of sequence rvq when three letters picked without replacement from {q: 7, r: 3, v: 3}. 21/572 Three letters picked without replacement from {z: 5, k: 2, l: 4, y: 4}. Give prob of sequence kyl. 16/1365 What is prob of sequence ggg when three letters picked without replacement from {g: 7, h: 4}? 7/33 What is prob of sequence ss when two letters picked without replacement from {s: 2, t: 1, q: 4}? 1/21 Three letters picked without replacement from {u: 3, c: 1, e: 1, o: 1, f: 5, r: 2}. Give prob of sequence oce. 1/1716 What is prob of sequence rrg when three letters picked without replacement from gogoorgggtrggooottg? 8/2907 What is prob of sequence ccec when four letters picked without replacement from eceyrrreeyryyccyyc? 1/765 Four letters picked without replacement from {e: 2, k: 5}. Give prob of sequence kekk. 1/7 Calculate prob of sequence jh when two letters picked witho
{ "pile_set_name": "DM Mathematics" }
+ 2 + 3. Let d = 7.22 - 7. Let j = -0.02 + d. What is the second biggest value in x, 4, j? j Let q(o) = 1632*o + 6 + 40 - o**2 - 1611*o. Let l be q(23). What is the smallest value in -4, -1/6, l? -4 Let k = 48.1 + -51.1. Which is the biggest value? (a) 0.4 (b) k (c) 19/5 c Let w(d) = d**3 + 9*d**2 - 13*d - 34. Let h be w(-10). Which is the third smallest value? (a) 0.2 (b) -0.05 (c) h a Let z = -0.24 - 0.06. Which is the third smallest value? (a) 3 (b) 1/4 (c) 3/2 (d) z c Let k be ((-6)/(3 - 4))/(36/6). Which is the third biggest value? (a) k (b) -27 (c) -0.04 b Let t = -116 + 118. What is the third biggest value in -5, t, 0.02? -5 Let g be -2 - (-2 + 3) - -13. Suppose -g*i - 7 - 13 = 0. Let d = 4 - 1. Which is the second biggest value? (a) d (b) 3/7 (c) i b Let m = 14.13 + -93.23. Let v = -79 - m. What is the third biggest value in -0.3, v, 2? -0.3 Suppose -k = u + 11 + 2, 3*k + 17 = -u. Which is the fourth biggest value? (a) 0.18 (b) -5 (c) u (d) 5 c Let n = -230 - -107. Let p = 128.4 + n. Which is the biggest value? (a) p (b) -0.1 (c) -1/3 a Let v = -10 + 13. Let g = 132.1 - 132. Which is the third biggest value? (a) -1/4 (b) g (c) v a Let y = -27 - -53/2. Let w be (6 - (-686)/(-105))*6/8. Which is the biggest value? (a) y (b) w (c) 5/4 c Let s(i) = 15*i**2 + 144*i - 19. Let l be s(-12). Which is the second smallest value? (a) -1/2 (b) -0.4 (c) l b Let f be (-2 + (-104)/(-28))*(-2 + 9). Let t be (-15)/21 - f/(-28). Which is the third biggest value? (a) 0.5 (b) 3 (c) t (d) -2 c Let g be ((-2)/(-20))/(4/(-16)). Let f be ((-28)/231)/(6/288) - -6. Which is the smallest value? (a) g (b) f (c) -5 c Let q = 31 + -31.035. Let m = 3.965 - q. What is the fourth biggest value in m, 1/7, 1/8, 3/4? 1/8 Let r = 370 - 369. What is the second smallest value in -2/23, 4, r, -2? -2/23 Let m be 6 + (-15)/3 + 1719/45. What is the third smallest value in m, -0.3, -1/3, -5? -0.3 Let d = -2377 + 278111/117. Let i = d - -37/117. What is the biggest value in -0.2, 6/11, i? 6/11 Let t = -0.03 + 23.03. Let q = t - 19. Let z = 3.9 - q. Which is the smallest value? (a) -5 (b) z (c) 0.4 a Let g = -8.19 + 3.19. Which is the second smallest value? (a) 1 (b) 2/23 (c) g b Let f = 1 + -0.8. Let w = 0.859 - 0.859. Suppose 3*t - 7 = 4*q, -2*t + 20 = -0*q + 5*q. What is the third biggest value in f, w, q? w Let f(c) = 4*c**2 - 8*c + 4. Let a be f(4). Let s be 1/(-3*(-4)/a). Let m be ((-1)/(-10))/((-3)/(-6)). What is the third smallest value in s, m, 0? s Let q = -32 - -53. Let s = q - 20.86. Let i = s - 0.44. Which is the smallest value? (a) i (b) -1/2 (c) -2/11 b Let p = -98 - -94. What is the smallest value in 3/5, 0, p, -3/5? p Let q = -386.5 + 386. Which is the second smallest value? (a) q (b) -133/2 (c) 2/5 (d) -2 d Let w = -2/125 - -637/750. What is the fourth smallest value in w, -2/7, -3, -0.2? w Let j = -497.9 - -498. What is the biggest value in j, 0.3, 1, 0.4? 1 Let n = -0.63 - -0.33. Let d = n + 0.1. Let w be (-4)/8 - 1/(-8). Which is the second smallest value? (a) d (b) w (c) 5 a Suppose 3*y + 37 - 7 = 0. Let x be 3*(2 - (-16)/(-12)). What is the second biggest value in y, 5, x? x Let q = 800.1 + -800. What is the smallest value in 4, q, -2, -1? -2 Let r be 0/1 + (-69 - -67). Which is the biggest value? (a) -4 (b) -1/169 (c) r b Let z = -10736/9 - -1193. What is the third smallest value in 7, 0, z? 7 Let p be 54/360*25/30. What is the smallest value in -6, 0.4, p? -6 Let f = 651 + -2603/4. What is the fourth smallest value in 6, -2, f, 0.7? 6 Let s(v) = -4*v - 6. Let b(r) = -8*r - 12. Let d(q) = 4*b(q) - 7*s(q). Let o = 753 - 756. Let h be d(o). What is the second biggest value in -5, 0.5, h? 0.5 Suppose 3*a - 4 - 11 = 0. Let j = 65 + -68. What is the third smallest value in j, a, -1, 2/13? 2/13 Let q = 819 - 820. What is the fourth smallest value in q, -11, -4.8, -0.4? -0.4 Let v = -27/8 + 13/4. Which is the second biggest value? (a) 3/4 (b) -0.4 (c) v c Let w = -6.2 + 5. Let r = -1.21 - w. Let i = r + 3.01. Which is the biggest value? (a) 1/6 (b) i (c) -3 b Suppose -y + 3*y + 16 = 2*p, 3*y - 2*p = -21. Let t(b) = b**3 - 9*b**2 - 2*b + 20. Let m be t(9). What is the third biggest value in y, m, 2/13? y Let s = 207 - 3934/19. Which is the fourth biggest value? (a) s (b) 0 (c) -1/9 (d) 1 c Let f = 2251 - 2249. Which is the fourth smallest value? (a) -0.24 (b) f (c) -4 (d) 1/3 b Suppose 3 = 5*y - 47. Let w be ((-2)/y)/((-1)/(-2)). Suppose 14 = 3*f - 1, 4*t - 3*f = -19. What is the smallest value in t, 2, w? t Let m = -1567 + 1575. What is the third biggest value in m, 2, 0.4? 0.4 Let u = -594 - -598. Which is the biggest value? (a) u (b) -60 (c) 1/4 a Suppose 2*y + 76 = -2*y - 5*o, 0 = y - 3*o + 36. Let z be (y/(-4) - 7)*(-2)/(-2). Which is the third smallest value? (a) -2/5 (b) -0.5 (c) -3 (d) z b Let k = 0.1 + -0.1. Let i = -432.7 + 434.9. Which is the third biggest value? (a) k (b) 3 (c) i a Let k = 114.6 + -114.8. What is the second smallest value in 0, k, 20? 0 Let u = 518 + -2073/4. Which is the third smallest value? (a) -0.3 (b) u (c) 9 (d) -3 b Let o = -0.84 + -3.73. Let q = o + -0.43. What is the smallest value in 0, q, 5? q Let j = 652 + -642. What is the fourth biggest value in j, 1/2, 3, 2/11? 2/11 Let g = -479/2345 - -2/469. Which is the second biggest value? (a) -4/5 (b) g (c) 0.1 (d) -1 b Let s = -2 - -2.2. Let g = -162.6 - -186. Let o = 23 - g. What is the second smallest value in -1/3, o, s? -1/3 Suppose i = -0 - 4. Let p = -99/8 + 1073/88. Which is the third biggest value? (a) 0 (b) i (c) p b Let x = -1 + 4. Let v = -12.8 + 12. Let p = v + 1.3. What is the second biggest value in x, p, 5/4? 5/4 Let o = -108 - -113. Let j be 0/(10/o - 3). Which is the third biggest value? (a) -4 (b) -7 (c) j (d) -2 a Let k = 1.3 + -0.3. Let p = -165.5 + 166. Which is the second biggest value? (a) p (b) k (c) -3 a Let o = 2475.1 + -2475. What is the second biggest value in 0, o, -11.5? 0 Let d = 0.061 - 25.061. Let h = -25.1 - d. Let j be (-2)/(-8)*(-16)/(-42). Which is the second smallest value? (a) h (b) 4 (c) j c Let l be (-70)/(-42) - 36/20. Let f(o) = 2*o**2 - 2*o + 1. Let d be f(1). Which is the third smallest value? (a) 0.1 (b) l (c) d c Let n = -53 - -53.06. What is the third smallest value in n, 5, -6? 5 Let g = 107.4 - 107. Which is the third smallest value? (a) 2 (b) 0.3 (c) g (d) 5/4 d Let n = -1.21 - -1.01. Which is the second smallest value? (a) n (b) 5 (c) -0.1 c Let p = 0.2 - -0.3. Let d = -5.4 + 1.4. Let j(q) = -q**3 + 17*q**2 - 17*q + 14. Let v be j(16). What is the third smallest value in p, v, d? p Let s = 5.0044 - 0.0044. Let n be 16/(-45) + 6/27. Which is the third smallest value? (a) s (b) 6/11 (c) -0.4 (d) n b Let j be 2 - (-24)/9 - 4. What is the third biggest value in 1/108, -4, -0.3, j? -0.3 Let s = 5 + -5. Let a = -989/8 + 124. What is the second biggest value in -3, s, a? s Let i = 13 - 16.2. Let m = 3 + i. Let o = -1.08 - -0.08. Which is the second biggest value? (a) m (b) o (c) -0.3 c Let j(y) = y**2 + 14*y - 14. Let k be j(-15). Suppose -4*p = x + 63, -4*x = -p - 11 - 26. Which is the third smallest value? (a) k (b) p (c) -3/5 a Let v = 245/3 + -83. Let i = 2/405 - 164/405. What is the second smallest value in 1/11, v, i? i Let s = -10370.4 - -10370.2. Let p = 106.06 - 108. Let y = p - 0.06. What is the second biggest value in -8, s, y? y Let y = -38 + 35. Let u = -2.6 - y. Let d = -0.2 - 0.3. Which is the third biggest value? (a) u (b) 5 (c) d c Suppose 72 = -2*x - 5*i - 48, -i - 104 = 2*x. What is the second smallest value in -0.3, -5, x? -5 Let p = -5.15 + 0.55. Let l = p - 0.4. Let n = l + 4.9. Which is the second smallest value? (a) 0 (b) -2 (c) n c Let l = 2475457771/791 + -3129529. Let t = l - -1/113. Let c = -1/105 + 221/1155. What is the smallest value in 2/13, c, t? 2/13 Let z = -1.04 + 1. Let d = 68.39 - 68.69. Which is the second smallest value? (a) 2/5 (b) d (c) z c Let z = 1073.59 + -1074. What is the second biggest value in 5, 3, z? 3 Let v = -7 - -1. Let i = v + 1. Let n = -1222/7 + 175. Which is the second biggest value? (a) n (b) i (c) 0 c Let q = 368 - 367. What is the fourth big
{ "pile_set_name": "DM Mathematics" }
Let d(g) = 33*g - 13. Let l(n) = n - 2. Give d(o) - 3*l(o). 30*o - 7 Let u(i) = i + 5. Suppose -2*s = -4 + 8. Let c be ((-15)/6)/(2/(-8)*2). Let w(n) = 2. Determine c*w(z) + s*u(z). -2*z Let u(h) be the second derivative of h**4/24 - 7*h**3/2 - 16*h. Let n(q) be the second derivative of u(q). Let j(w) = -4*w + 3. Give j(z) - 2*n(z). -4*z + 1 Let d = 8 - 5. Let l(t) = 3*t + 3. Let j(g) = 31*g - 4. Let h(w) = 9*w - 1. Let i(b) = 14*h(b) - 4*j(b). What is d*l(c) - 5*i(c)? -c - 1 Let k(r) = r + 2. Let z(u) = 8*u + 24. Calculate 24*k(g) - 2*z(g). 8*g Let s(i) be the first derivative of 2*i**2 + 2*i - 95. Let z(m) = m**2 + m. What is -s(q) + 2*z(q)? 2*q**2 - 2*q - 2 Let q be (-48)/(-18)*(0 + 3). Let p = q - 3. Let k(z) = 4*z**3 - z**2 + 4. Let b(j) = -3*j**3 + j**2 - 3. Determine p*b(v) + 4*k(v). v**3 + v**2 + 1 Let w(r) = -10*r**2 - 8*r + 16. Let n(c) = -12*c**2 - 9*c + 18. Calculate 4*n(l) - 5*w(l). 2*l**2 + 4*l - 8 Let f = -175 - -171. Let k(j) = -3*j**2 + j - 4. Let z(l) be the first derivative of 8*l**3/3 - l**2 + 11*l + 19. Give f*z(s) - 11*k(s). s**2 - 3*s Let y(o) = -7*o + 19. Let j(i) = 6*i - 19. Give 6*j(g) + 5*y(g). g - 19 Let u(j) = j - 3. Let r = 219 - 222. Let l(m) = -3 - 2*m + 4*m + 0*m. Determine r*l(i) + 4*u(i). -2*i - 3 Let w(a) = -3*a**2 - 2*a + 5. Let v(r) = -5*r**2 - 3*r + 7. Let y(n) = -2*v(n) + 3*w(n). Let i(c) = -7*c**2 - 5. Calculate i(o) + 6*y(o). -o**2 + 1 Let z(v) = -v**2 + 26*v - 136. Let y be z(7). Let p(c) = -16*c**2 + 3. Let b(d) = d**2 + 1. Give y*b(m) + p(m). -19*m**2 Let m(b) = -2*b - 3. Let c(d) = 1. Let f be 3/(-1)*76/228. Calculate f*m(v) - 6*c(v). 2*v - 3 Let o(i) = -2*i - 11. Let t(f) = -3*f - 11. Determine -4*o(u) + 3*t(u). -u + 11 Let h(n) = n - 1. Let x(j) = 51*j**3 - 4*j + 3. What is -3*h(b) - x(b)? -51*b**3 + b Let o(x) = 38*x - 1. Let i(d) = 13*d - 1. Determine 11*i(h) - 4*o(h). -9*h - 7 Let g(b) = b. Let i(x) be the third derivative of -x**4/4 + x**3/6 - 2*x**2 - 72*x. Determine 6*g(j) + 2*i(j). -6*j + 2 Let t(n) = 10*n - 10. Let s(v) be the first derivative of -1/2*v**2 + v - 5. Suppose -2*z + 2*r = -32, -3*r + 20 = 2*z - 2*r. Give z*s(j) + t(j). -2*j + 2 Let m(h) = h - 5. Let p(z) = -z**3 - 22*z**2 - 3*z - 61. Let d be p(-22). Let c(n) = 2*n - 4. What is d*c(q) - 4*m(q)? 6*q Suppose -5*h = 4*j - 374, -3*j + 6*j + 219 = 3*h. Let o = -83 + h. Let m(w) = 4*w + 13. Let c(p) = p + 3. What is o*c(n) + 2*m(n)? -n - 1 Let g(k) = 6*k + 27. Let o(h) = -6*h - 5. Let j(u) = 2*u - 2. Let v(r) = 2*j(r) + o(r). Give -6*g(b) - 17*v(b). -2*b - 9 Let p = 1 + 0. Let l(b) = 4*b - 3. Let w(y) = 199. Let v(g) = -298. Let m(r) = 2*v(r) + 3*w(r). What is p*l(k) + 2*m(k)? 4*k - 1 Let q(f) = 16*f**2 + 7 + 7*f - 6*f**3 + 23*f**2 - 58*f**2 - f**3 + 26*f**2. Let i(z) = -4*z**3 + 3*z**2 + 3*z + 3. What is -7*i(u) + 3*q(u)? 7*u**3 Let m(l) = 53110*l**3 - 1128*l**2 - 564. Let t(y) = -470*y**3 + 10*y**2 + 5. Give -5*m(b) - 564*t(b). -470*b**3 Let s be 602/(-5) + 10/25. Let j be (5 + 1)/(45/s). Let g(b) = 2*b**3 - 5*b**2 - 5. Let u(o) = -6*o**3 + 16*o**2 + 16. What is j*g(d) - 5*u(d)? -2*d**3 Let v(n) = -n**3 - 2*n**2 + 2*n + 3. Suppose -4 = 2*q - u, 3*q = u - 8 - 0. Let l(b) = 5*b**3 + 9*b**2 - 9*b - 13. Calculate q*l(j) - 18*v(j). -2*j**3 - 2 Let q(c) = 2*c + 1. Let m(x) be the third derivative of x**4/24 + x**3/6 + x**2 + 1. Determine -7*m(s) + 4*q(s). s - 3 Let k(p) = -p. Let h(c) = 14*c + 1. What is h(u) - 3*k(u)? 17*u + 1 Let z(p) = 4*p + 13. Let d(w) = -2*w - 4. Calculate -13*d(l) - 6*z(l). 2*l - 26 Suppose -3*x + 13 = -g, 4*g - 17 = -2*x + 3*g. Let l(i) = -2*i**3 - 6*i**2 + 5*i - 6. Let m(v) = 4*v**3 + 11*v**2 - 10*v + 11. What is x*m(u) + 11*l(u)? 2*u**3 - 5*u Let r(j) = j**2 + 80*j + 74*j + 0*j**2 - 153*j. Let m(o) = o**3 + 6*o**2 + 6*o. Determine -m(x) + 6*r(x). -x**3 Let r(i) = 7*i - 3. Let t(l) = 6*l - 4. Give 3*r(z) - 2*t(z). 9*z - 1 Let n(m) = m**3 - m**2 - m - 1. Let l(g) = g**3 + 6*g**2 - 2*g - 4. Let o be l(0). Let b(j) = -5*j**3 + 2*j**2 + 6*j + 4. Determine o*n(a) - b(a). a**3 + 2*a**2 - 2*a Let o(j) = 2*j + 3. Let g be o(-3). Let l(z) = -2*z**3 - z + 3. Let c(d) be the first derivative of d**4/2 - 2*d - 177. Give g*c(k) - 2*l(k). -2*k**3 + 2*k Let p(n) = -5*n**2 - 2*n. Let g be -2 - 0 - (-5 + 0). Let h(o) = 0*o**3 - g*o**3 + 2*o**3 + 2*o**3 + 6*o**2 + 3*o. Calculate -2*h(b) - 3*p(b). -2*b**3 + 3*b**2 Let p(s) = 1. Let j(m) = m + 2. Suppose 2*n = -6, -7*n + 3 = 4*c - 4*n. Give c*j(k) - 6*p(k). 3*k Let y(v) be the first derivative of -v**4/4 + v**3/3 - v**2/2 + 9. Let m(u) = -2*u**3 + 3*u**2 - 3*u + 2. Let j = 82 - 79. What is j*y(c) - m(c)? -c**3 - 2 Let q(y) = -y**3 + 3*y**2 + 3*y - 3. Let k(l) = -l**3 + 5*l**2 + 5*l - 5. Let r be ((-124)/3)/((-14)/21). Let t = 68 - r. Determine t*k(i) - 10*q(i). 4*i**3 Let f(x) = -81*x**2 - 63. Let j be 32/176 + 2 + 80/44. Let c(o) = 5*o**2 + 4. What is j*f(m) + 63*c(m)? -9*m**2 Let f(v) = -v**3 + v**2 + v - 1. Let h(z) be the third derivative of 2*z**6/3 - z**5 - 5*z**4/2 + 10*z**3 + 2*z**2 - 85. What is -60*f(p) - h(p)? -20*p**3 Let f(v) = 2*v**2 + 2. Suppose 0*x - x = -2. Suppose -7 = x*o - 3*o. Let t(a) = 3*a**2 + 3. Suppose 5*w + 16 + 4 = 0. Calculate o*f(b) + w*t(b). 2*b**2 + 2 Let c(x) = 2*x**3 + 2*x - 2. Let i(h) = h**3 - h**2. Let l(a) = 2*c(a) + 2*i(a). Let z(w) = -w**2 + w - 1. Determine -l(p) + 4*z(p). -6*p**3 - 2*p**2 Let o(t) = 2*t**3 + 9*t. Let r(c) = c**3 + 8*c. Calculate -3*o(n) + 4*r(n). -2*n**3 + 5*n Let t(q) = -4*q**2 - 518*q - 42. Let i(w) = 2*w**2 + 259*w + 24. Give -7*i(g) - 4*t(g). 2*g**2 + 259*g Let p(u) = -5*u**3 - 2*u**2 - 2. Let y(n) = n**3 - n**2 - 1. Let k = -192 - -193. Determine k*p(r) - 2*y(r). -7*r**3 Let i(h) be the second derivative of -h**4/12 + 5*h**3/6 - 34*h - 1. Let g(a) = 2*a - 12. Let c be g(8). Let b(v) = -2*v**2 + 14*v. Calculate c*b(m) - 11*i(m). 3*m**2 + m Let s(z) = 3*z**2 + 5*z + 3. Let n(r) be the first derivative of 2 + 1/2*r**2 + 1/3*r**3 + r. Suppose -5*w + 0*w = -25. Give w*n(p) - s(p). 2*p**2 + 2 Let z(b) = -6*b - 3. Let p(o) = 11*o + 5. Let s = 99 - 95. Give s*p(a) + 7*z(a). 2*a - 1 Let q(x) = 566*x. Let s(r) = 281*r. Determine 6*q(f) - 13*s(f). -257*f Suppose -138*l - 35 = -145*l. Let w(d) = 8. Let a(q) = -q**2 + 7. What is l*w(x) - 6*a(x)? 6*x**2 - 2 Let p be 2/(-8) - ((-171)/(-4))/(-3). Let m(b) = 8*b - 31*b + 14*b + p*b + 3. Let o(t) = 26*t + 16. What is 11*m(y) - 2*o(y)? 3*y + 1 Let a = -3652 - -3648. Let r(q) = -2*q + 2. Let f(t) = -2 + 4 - 1 - t. Give a*r(i) + 6*f(i). 2*i - 2 Let g(w) = w + 1. Let f(b) = -6*b - 7. Suppose 3*k = -k. Let l = k - 9. Let a(y) = -y**3 - 9*y**2 - 2. Let s be a(l). Calculate s*f(h) - 14*g(h). -2*h Let w(u) = 4*u**3 - 4*u - 3. Let o(b) = -b**2 - 29*b - 34. Let f be o(-28). Let c(p) = 5*p**3 - 5*p - 4. Calculate f*w(i) + 5*c(i). i**3 - i - 2 Let n(u) = 140*u + 2. Let s(m) = 1541*m + 23. Determine -23*n(d) + 2*s(d). -138*d Let r(a) = a**2 + a - 3. Let t be r(0). Let i(v) = -8*v**2 - 3*v + 3. Suppose -110 = 8*y - 30*y. Let w(d) = -15*d**2 - 5*d + 5. Determine t*w(q) + y*i(q). 5*q**2 Let d be 60/72*(0 + 6). Let k(w) = w**3 + 8*w**2 - 5*w - 5. Let u(j) = -j**3 - 9*j**2 + 6*j + 6. Calculate d*u(p) + 6*k(p). p**3 + 3*p**2 Suppose 6*k + 11 = -19. Let m = -11 - k. Let f(d) = d. Let h(j) = -3*j. Let v(b) = 18*f(b) + h(b). Let r(t) = 4*t. What is m*v(a) + 22*r(a)? -2*a Suppose 151*j + 64 = 119*j. Let b(l) = -6*l - 9. Let f(y) = -y. Let p(s) = -1. Let w(h) = f(h) + 2*p(h). Calculate j*b(n) + 11*w(n). n - 4 Let d(y) = -3101 - 8*y + 1549 + 1554. Let r(t) = 7*t - 2. Calculate -5*d(c) - 6*r(c). -2*c + 2 Suppose 0 - 2 = 2*k. Let y(l) = -l - 1. Suppose i + 2*a = 18, 0 = 5*i + 2*a + 2*a - 114. Suppose -9*m - i = 1. Let z(o) = o + 1. Give k*z(c) + m*y(c). 2*c + 2 Let h(j) = -j. Let d(o) = -6*o. Let p = -30 - 70. Let m = p - -102. Determine m*d(u) - 14*h(u). 2*u Let y(h) = -11*h**3 + 5520 - 5521 + 9*h**3. Let u(m) = 11*m**3 + 8*m - 5. Let i(o) = 4*o**3 + 3*o - 2. Let q(k) = -8*i(k) + 3*u(k). What is -3*q(f) - 3*y(f)? 3*f**3 Let w(n) = -n + 93. Let x(a) = -1. What is w(r) + x(r)? -r + 92 Let q(d) = -2*d**2 + 8*d + 1. Let h(c) = -2*c. Calculate -6*h(w) - q(w). 2*w**2 + 4*w - 1 Let l(b) = -69*b**2 + 564*b - 11. Let g(v) = -25*v**2 + 188*v - 4. Determine 11*g(w) - 4*l(w). w**2 - 188*w Let h(o) = o - 1. Let f be
{ "pile_set_name": "DM Mathematics" }
= 0. -120, -1, 1 Factor -587*b**2 - 103 - 192*b**3 + 40*b**2 - 30*b**2 + 4*b**5 - 151*b**2 - 772*b - 161 + 32*b**4. 4*(b - 6)*(b + 1)**3*(b + 11) Let a(n) be the second derivative of 49*n**5/100 - 189*n**4/20 + 72*n**3 - 270*n**2 + 1006*n. Suppose a(r) = 0. Calculate r. 3, 30/7 Let s = 1967391/756685 + -2/151337. Determine d, given that 64/5*d + 6/5*d**2 - 32/5 - s*d**3 + 2/5*d**4 = 0. -2, 1/2, 4 Solve -79 - 18*k**3 + 49 + 104*k**2 + 96 + 42 + 510*k = 0 for k. -3, -2/9, 9 Suppose -3*z - 4*u + 9 = 0, 5*u - 3 = 3*z - 4*z. Find c such that -27*c**3 - 27*c**3 + 80*c + 8*c**2 - 49*c**z + 32 + 19*c**3 - 36*c**4 = 0. -2, -2/3, 1 Solve -52*q + 13 - 589*q**3 - 256*q**2 - 13 + 16*q**4 + 401*q**3 = 0. -1, -1/4, 0, 13 Let o be (-48)/(-40)*86/129. Find x such that -2/5*x + o + 2/5*x**3 - 4/5*x**2 = 0. -1, 1, 2 Let x = -1412893/5 + 282593. Factor -x*d + 4/5*d**4 - 48/5*d**2 + 8/5*d**3 + 108/5. 4*(d - 3)*(d - 1)*(d + 3)**2/5 Let s = -42888 + 85783/2. Factor -16 - 76*h**3 + 27*h**4 - s*h**5 + 88*h**2 - 24*h. -(h - 2)**4*(7*h + 2)/2 Let i(h) be the first derivative of h**6/1800 + 7*h**5/600 + h**4/20 + 58*h**3/3 - 91. Let j(g) be the third derivative of i(g). Factor j(o). (o + 1)*(o + 6)/5 Let v be (7/21)/(4/36). Let -245*b + 112*b + b**2 + v*b**3 + 121*b - 10*b**2 = 0. What is b? -1, 0, 4 Solve 2250/7 + 3000/7*x + 820/7*x**2 + 2/7*x**4 + 72/7*x**3 = 0 for x. -15, -5, -1 Suppose -23 - 58 = -21*g - 6*g. Let l(w) be the first derivative of 2/3*w**g + 5 + 1/8*w**4 + w**2 + 0*w. Factor l(u). u*(u + 2)**2/2 Suppose -3*h + 6 = -1436*j + 1435*j, 2*h = j + 6. Let v = 23/33 - 1/33. Factor g**2 + v*g**3 + 0*g - 1/3*g**4 + h. -g**2*(g - 3)*(g + 1)/3 Factor -2/7*k**5 + 0*k + 0 + 1152/7*k**2 + 14*k**4 - 1248/7*k**3. -2*k**2*(k - 24)**2*(k - 1)/7 Let m = 193 - 193. Let f be (m/(15 + -10))/(2/(-1)). Factor -8/3*l**2 + l + f. -l*(8*l - 3)/3 Let o(v) be the first derivative of v**7/4620 + v**6/660 - v**5/165 - 8*v**3/3 + 3*v - 235. Let s(a) be the third derivative of o(a). Let s(f) = 0. Calculate f. -4, 0, 1 Factor -3894*q + 79218*q**2 - 19683/2*q**3 + 48. -3*(q - 8)*(81*q - 2)**2/2 Suppose 2*r = j + 40, -2735*j = -2740*j + 60. Suppose -r*c + 82/5*c**3 + 8/5*c**4 + 76/5*c**2 - 36/5 = 0. Calculate c. -9, -2, -1/4, 1 Suppose -61/3*v - 31/3 + 62/3*v**3 - 1/3*v**5 + 2/3*v**2 + 29/3*v**4 = 0. What is v? -1, 1, 31 Let o(i) = -4*i - 37. Let k be o(-11). Let z(l) = l**2 - 5*l - 13. Let s be z(k). Factor -3*m**2 + m**4 + s + 23*m - 25*m - 1. m*(m - 2)*(m + 1)**2 Let o = 1445 + -1393. Suppose -o*h + 60 = -44. Factor 2 - 4/3*t - 2/3*t**h. -2*(t - 1)*(t + 3)/3 Let v = 14915 - 14895. Let t(d) be the first derivative of v*d**4 + 7*d**5 + 24 - 85/3*d**3 - 15*d**2 + 0*d. Factor t(u). 5*u*(u - 1)*(u + 3)*(7*u + 2) Let k(g) = 73*g - 2114. Let m be k(29). Let z(n) be the first derivative of -2/3*n**m - 4*n - 21 + 3*n**2. Let z(b) = 0. Calculate b. 1, 2 Let l = -131/708 + 1363/3540. Solve 13/5*m - l*m**2 + 14/5 = 0 for m. -1, 14 Let o(l) = 7*l**2 + 6*l - 30. Let n(q) = -13*q**2 - 11*q + 61. Let g(c) = 6*n(c) + 11*o(c). Find u such that g(u) = 0. -6, 6 Let j = -751234/91 - -107438/13. Suppose 0 + 208/7*w**3 + 0*w - 4*w**5 - j*w**4 + 64/7*w**2 = 0. Calculate w. -4, -2/7, 0, 2 Let t = 2646 + -2640. Let a(w) be the third derivative of 18*w**2 + 1/18*w**3 + 0*w + 0 + 1/1890*w**7 - 1/135*w**5 + 1/540*w**t - 1/108*w**4. Solve a(r) = 0. -3, -1, 1 Let u(v) be the second derivative of v**7/12 + 17*v**6/20 + 119*v**5/40 + 121*v**4/24 + 9*v**3/2 + 2*v**2 + 162*v + 4. Suppose u(t) = 0. Calculate t. -4, -1, -2/7 Suppose -3*v + 17 = a, -4*v + 13 = -a + 2. Suppose -2*i + 3*i = -j + 3, 0 = -v*j. Let 100*y**3 - 3*y**4 + i*y**2 - 100*y**3 = 0. Calculate y. -1, 0, 1 Suppose 2/3 - 8/9*j**3 - 2/9*j**4 + 8/9*j - 4/9*j**2 = 0. Calculate j. -3, -1, 1 Let l(c) be the first derivative of 1/8*c**4 + 40/3*c**3 + 0*c + 20 + 400*c**2. Solve l(z) = 0 for z. -40, 0 Factor 488 + 510*t**3 + 798*t**2 - 5*t**4 + 137 + 2052*t - 182*t + 100*t**3 + 1062*t**2. -5*(t - 125)*(t + 1)**3 Let h = -9 + 12. Suppose 5 = i, -4*x - h*i - 6 = -37. Factor -5*m + 8 + 9*m + 8*m + x*m**2. 4*(m + 1)*(m + 2) Let l(d) be the third derivative of 2/21*d**7 + 0 + 34/3*d**4 + 32/3*d**3 + 37/30*d**6 + 0*d + 28/5*d**5 + 227*d**2. Determine u so that l(u) = 0. -4, -2, -1, -2/5 Let x = -6203 - -43423/7. Let y(d) be the first derivative of -12 - 4/7*d + x*d**3 - 1/7*d**2. Factor y(p). 2*(p - 1)*(3*p + 2)/7 Suppose 0 = 3*u - 1185 - 735. Let -450*b + 206 + 187 + 12 - 160*b**3 - u*b**2 = 0. What is b? -9/4, 1/2 Suppose -312*k - 216*k = 144 - 1200. Determine t, given that -800/11*t + 78/11*t**3 + 720/11*t**k + 2/11*t**4 + 0 = 0. -20, 0, 1 Let x(n) be the third derivative of 7*n**5/480 - 4975*n**4/192 - 237*n**3/8 + 2202*n**2 - 2*n + 2. Suppose x(s) = 0. What is s? -2/7, 711 Let k(h) be the third derivative of 0 + 0*h - 95*h**2 + 1/2*h**3 + 0*h**4 - 1/180*h**5. Factor k(d). -(d - 3)*(d + 3)/3 Let f be (-17199)/(-63063) + 30/11. Determine a so that 2/3*a**2 - 5/3*a**f + 0 - 1/3*a**4 + 8*a = 0. -4, -3, 0, 2 Suppose -3*i + 15 = -8*i. Let j(v) = -v**3 - v**2 - v - 13. Let g be j(i). Determine h so that -g*h - 3*h + 2*h**2 - h**2 + 0*h**2 = 0. 0, 11 Let t(x) be the first derivative of -21 - 1/75*x**6 - 3/50*x**5 - 1/15*x**3 - 1/10*x**4 + 0*x**2 - 2*x. Let y(r) be the first derivative of t(r). Factor y(g). -2*g*(g + 1)**3/5 Let c(x) = -3441*x**4 + 2940*x**3 - 829*x**2 + 69*x. Let n(u) = -588*u**3 + 166*u**2 - 14*u - 1952 + 688*u**4 + 1952. Let h(i) = -4*c(i) - 22*n(i). Factor h(p). -4*p*(7*p - 2)**3 Let j = -6113259/1016627 + 896/149. Let z = j + 2428983/34115. Suppose 138/5*a + 18/5*a**5 + 356/5*a**2 + z*a**3 + 138/5*a**4 + 18/5 = 0. Calculate a. -3, -1, -1/3 Let p(v) = 177*v**3 + 14593*v**2 - 16468*v + 1747. Let q(g) = 88*g**3 + 7297*g**2 - 8237*g + 873. Let i(b) = 3*p(b) - 7*q(b). Factor i(j). -5*(j - 1)*(j + 87)*(17*j - 2) Let o = 41936/3 - 13976. Let r(i) be the second derivative of 1/90*i**6 + 6*i + 0 + 5/12*i**4 - o*i**2 - 4/9*i**3 + 2/15*i**5. Suppose r(z) = 0. What is z? -4, -1, 1 Let p(q) be the second derivative of -q**4/84 + 23*q**3/21 + 48*q**2/7 - 86*q - 4. Factor p(n). -(n - 48)*(n + 2)/7 Let d(l) be the third derivative of -l**5/150 + 289*l**4/15 - 334084*l**3/15 - 67*l**2 - 9*l. Factor d(h). -2*(h - 578)**2/5 Let f = 2399017/639740 - -2/159935. Let -5/2 - 5/4*l**2 + f*l = 0. What is l? 1, 2 Factor -171*g**2 + 1176*g**2 + 744*g**3 + 99*g**3 - 6*g**4 + 5*g**4 + 845*g + 684*g**2. -g*(g - 845)*(g + 1)**2 Let m(g) = -467*g**2 + 6550*g - 165. Let l be m(14). Let 0*i - 1/6*i**4 + 7/3*i**2 + 0 - 13/6*i**l = 0. What is i? -14, 0, 1 Let f(s) be the third derivative of s**8/392 + 2*s**7/49 + 23*s**6/140 - s**5/7 - 6*s**4/7 - 2147*s**2. Solve f(n) = 0. -6, -4, -1, 0, 1 Let v = -9/14956 + 22443/14956. Let y be (-1)/(1/2)*-2. Factor 0 + 0*s**y - v*s**5 - 3/2*s + 3*s**3 + 0*s**2. -3*s*(s - 1)**2*(s + 1)**2/2 Let b = -25 + 176. Suppose 83 = 9*c - b. Factor -4*h**2 + 51 - h**2 - 15 + 5*h - c. -5*(h - 2)*(h + 1) Suppose -31 = -6*u + 11. Let s(r) = -2*r**3 + 15*r**2 - 6*r - 5. Let n be s(u). Suppose -w + 54*w**n - w - 53*w**2 = 0. What is w? 0, 2 Let l(c) = -3*c**2 - 3261*c + 421377. Let v(x) = -2*x**2 - 1635*x + 210690. Let a(g) = 5*l(g) - 9*v(g). Let a(u) = 0. What is u? 265 Let i = 55 + -42. Factor -175*k**3 + i + 24*k + k**4 + 22*k**2 - 4 + 183*k**3. (k + 1)**2*(k + 3)**2 Let u(y) = -y**2 + 16*y - 15. Let q be u(15). Suppose q = 2*l + 291 - 291. Find o such that -3/2*o**5 - 3/2*o**3 + 3*o**4 + 0*o + l*o**2 + 0 = 0. 0, 1 Let d be -7 - ((-3 - 11) + -11). Let h(p) be the first derivative of 16/11*p**2 + d - 14/11*p**3 + 9/22*p**4 - 8/11*p. Factor h(o). 2*(o - 1)*(3*o - 2)**2/11 Suppose 5*j = v + 22, -3*v - 2*j + 24 - 5 = 0. Solve 7*c**2 - v*c + 20*c - 1 + 7 = 0 for c. -2, -3/7 Factor 391*x**3 - 766*x**3 + 370*x**3 + 300 + 160*x - 5*x**2. -5*(x - 6)*(x + 2)*(x + 5) Let a be 21/(-175)*-5 - 3944/140. Let z = -27 - a. Let 8/7 - 10/7*w**4 - z*w**3 + 32/7*w + 30/7*w**2 = 0. Calculate w. -1, -2/5, 2 Let l = 161 + 24. Let f = l + -911/5. Factor 4/5*v**2 - f*v**3 + 0*v + 0. -2*v**2*(7*v - 2)/5 Let d(m) be the third derivative of -m**5/12 - 185*m**4/24 + 770*m**3/3 - 945*m**2 + m. Factor d(n). -5*(n - 7)*(n + 44) Factor -290521/4 - 1/4*r**2 + 539/2*r. -(r - 539)**2/4 Let b(h) be
{ "pile_set_name": "DM Mathematics" }
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False Is 814994501 a composite number? True Is 168038254981 prime? True Is 1825154723 a composite number? True Is 5208025727 a prime number? False Is 103696601261 composite? True Is 24468426907 a composite number? True Is 21631361489 a composite number? True Is 30196462033 a prime number? True Is 834264251 prime? False Is 768022
{ "pile_set_name": "DM Mathematics" }
et k = 14/27 + h. What is the third smallest value in k, -0.4, 5? 5 Let y(f) = 2*f + 3*f - 3*f. Let o be y(2). Which is the third biggest value? (a) o (b) -1/6 (c) -3 c Let x = 0.65 - 0.6. Let v = x - 0.05. Let z = 0 + 1. Which is the biggest value? (a) -3 (b) z (c) v b Let t = 0.5 + -0.42. Let k = 0.58 - t. Which is the second smallest value? (a) 0.2 (b) k (c) 0 a Let n = 35318/255 - 3336/17. Let z = 672/5 + n. Let f = z - 76. Which is the second biggest value? (a) f (b) 0.2 (c) 0 b Let f be 8/(-20) - 4/(-10). Let d be f*2/(-4) + 2. Let s = -5/3 - -3. Which is the third smallest value? (a) 0 (b) s (c) d c Let o = 0.3 - 0.31. Let j = -0.06 - o. Let a = j + 0.15. What is the third biggest value in a, -3, 1? -3 Let p = -21.6 + 21. What is the second smallest value in -2, p, 0.5? p Let b(c) = c**2 + 8*c - 2. Let g be b(-7). Let i = g + -4. Let q be (-11)/i + 2/(-2). What is the biggest value in 2, q, -4? 2 Let a = -8.97 + -0.03. Let h = -0.22 + -9.78. Let d = h - a. What is the third smallest value in d, -2/5, 0.2? 0.2 Let c(x) be the first derivative of x**2 - 7*x - 4. Let p be c(5). Let q = -0.2 + 0.2. What is the second smallest value in p, q, -3? q Let m(l) = l - 17. Let x be m(12). Which is the third smallest value? (a) x (b) -1/2 (c) 0.4 c Let h be 2/(-7) + (-82)/7. Let p be (-1 + -3)*3/h. Let f(t) = 2*t**2 + t - 1. Let n be f(p). Which is the third biggest value? (a) n (b) -5/4 (c) 0.4 b Let h = 53 - 76. Let g = h + 22. What is the second smallest value in g, -3/4, -3? g Let t = -2.006 - 0.044. Let q = 0.05 + t. Let l = 0.24 - -0.06. Which is the third smallest value? (a) -0.1 (b) l (c) q b Suppose -3*l = v + 263, -5*v - 11 = 5*l + 424. Let n = l - -173/2. Which is the smallest value? (a) 0.4 (b) n (c) 3/4 b Let r = -3.96 + 4. Let i = r + 0.26. Let c = 0 + i. What is the smallest value in 0.4, 2, c? c Let o = 3.92 + 0.08. Let u = -0.65 - -0.25. What is the third biggest value in u, -2/19, o? u Let s(u) = u**3 - 10*u**2 + u - 12. Let v be s(10). Let r be (-1)/5 + (-69)/(-195). Let c = 10 + -10.4. What is the second smallest value in r, v, c? c Let q = -5.1 - -5.5. What is the third smallest value in 0.08, -1/3, 1/2, q? q Let f = 10 + -12. Let o = -5.6 - -5. Let t = -3.6 - o. Which is the third smallest value? (a) t (b) f (c) -4 b Let r = 106 - 107.3. What is the second biggest value in 1, r, -0.4? -0.4 Let j be 2/(-2)*5 + 2. Let i = j - -1. What is the third biggest value in i, -4, 0.3? -4 Let d = -1.95 - 0.05. Let s = -13 + 3. Let z = s - -9.9. Which is the smallest value? (a) d (b) -6/5 (c) z a Let g = 3.71 - -0.29. Which is the second smallest value? (a) -4 (b) -0.19 (c) g b Let h = -4.3 - -3.3. What is the third smallest value in 1, h, 3, 4? 3 Let i = 14 - 9. Which is the smallest value? (a) i (b) 5/7 (c) -1/2 c Let i be (3/(-5))/(1/(-5)). Let w be (-22)/(-8) + -3 - 0. Which is the second biggest value? (a) i (b) w (c) 1/10 c Let q = -18 + 23. What is the third smallest value in -0.3, q, -0.2? q Let u = 0.34 - 0.34. What is the smallest value in u, 4, 5, -3? -3 Suppose 2*d - t - 11 = -3*d, -4*d + 5*t = 8. What is the second smallest value in d, 9, -2? d Let g(t) = -2*t - 12. Let o be g(-7). What is the second biggest value in -0.5, o, 3? o Let r = -9 - -5. Let m be -2 + 11/((-3)/3). Let q = 8 + m. Which is the third biggest value? (a) r (b) q (c) -1 b Let d = -2 - -2.04. Let c = -1.96 - d. Let a(g) = g + 6. Let l be a(-6). What is the smallest value in -4, l, c? -4 Let z = -5.015 + 0.015. Which is the second biggest value? (a) -4/5 (b) -0.5 (c) z (d) -0.1 b Let j be 2/((-63)/(-18)*(-8)/(-7)). Let d = 0.02 - 5.02. Let m = d + 9. What is the third biggest value in j, 0.1, m? 0.1 Suppose 5*i + 1 = -4. Let d be (-3)/(-12) - (-18)/(-136). Let q be (1/(-2))/((-2)/5). Which is the smallest value? (a) q (b) i (c) d b Suppose 3*l = -4*m - 13, -2*m - 4 = 2*m. Let i be 2/8 - 21/4. Let t = 9 + i. Which is the biggest value? (a) l (b) 0.5 (c) t c Let q be 5/(15/2) - 42/(-18). What is the biggest value in q, 1/22, 4? 4 Let l = 8.2 + -7.7. Which is the second biggest value? (a) -3/5 (b) -1/5 (c) l (d) 13 c Let r be 4/18 - (-5)/18. Let u = 0.04 - -2.96. Which is the third biggest value? (a) r (b) u (c) 0.4 c Suppose 4*p = 3*p. Suppose 0 = 3*q - 2*o + 164, p = -5*q + 3*o - 2*o - 278. Let y be 100/q - 2/(-7). Which is the third biggest value? (a) -2 (b) y (c) 4 a Let q = -0.64 + -4.26. Let i = q - -5. What is the second biggest value in i, 2/25, -0.3? 2/25 Suppose 26 = 5*l + 111. Let v = 67/4 + l. Which is the third smallest value? (a) v (b) 0.2 (c) -3/2 b Let u = 4 - 4.3. Suppose -233 = -0*g + 5*g + 3*l, -5*g - 4*l = 234. Let s = -183/4 - g. What is the second biggest value in -1, u, s? u Let g = -0.1 - 0.1. What is the third biggest value in 3, g, 9? g Let v = -3 + 2.5. Let z = 86 - 91. Which is the second smallest value? (a) v (b) z (c) -3 c Let o = -0.104 + 2.074. Let g = o - -0.03. Which is the third biggest value? (a) g (b) -3 (c) 2/5 b Let l = -205/693 - -1/99. Let o = 1/48 - 101/240. What is the second biggest value in -0.03, o, l? l Let y be -2 + 36/(-19)*-1. Which is the second smallest value? (a) 0.3 (b) y (c) 0 c Let x = -970.92 + 936. Let z = 34 + x. Let c = z - 0.08. What is the third smallest value in c, 0.1, -3? 0.1 Let p(n) be the second derivative of n**5/10 + 5*n**4/12 - n**3/3 - n**2/2 - n. Let q be p(-3). Which is the biggest value? (a) -2 (b) -3 (c) q a Let l = -3.1 - -6.1. Which is the smallest value? (a) l (b) 1 (c) -3 c Let i = 0.44 - -3.36. Let o = i - 0.8. Let y = 0 + 0.3. What is the biggest value in -0.5, o, y? o Let m be 11/(-22) - 2/(-8). What is the third biggest value in m, -5, 3, -0.1? m Let w = 3 - 5. Suppose -4*l + 0 = -12. Which is the smallest value? (a) l (b) w (c) 0.2 b Let p = -0.4 - -4.4. Let b = 1.3 - 0.3. Let m = b - p. What is the smallest value in -0.1, 5, m? m Let w(v) = -v**2 + 9*v + 3. Let l be w(9). Suppose -y - x - 2 = 2*x, -18 = l*y - 3*x. Which is the third biggest value? (a) -4 (b) -2/13 (c) y c Let g be 14/24 - (-3 + 7/3). Which is the second smallest value? (a) -2 (b) 1 (c) g (d) -0.3 d Let z = -10.5 + 16. Let g = 5 - z. Let o = 2/3 - 1/3. What is the third smallest value in -2/7, g, o? o Let j = 0.04 - 0.05. Let s = -1.01 - j. Which is the third biggest value? (a) s (b) 2 (c) -5 c Let p(v) = v + 6. Let x be p(6). Let m be x/(-18) - 11/(-21). Which is the smallest value? (a) m (b) 2 (c) 1/7 a Let y be (-76)/(-16) + 0 + (-2)/(-8). Let r be (2/5)/(1/15). Which is the biggest value? (a) y (b) 1 (c) r c Let w be 4/(-10) + (-8)/(-120). What is the second biggest value in w, 5, -4? w Let t = 25 - 327/13. Which is the second biggest value? (a) 0.2 (b) 0.5 (c) t a Let o = -0.39 + -0.01. Let y = -1.352 + 0.352. What is the second biggest value in o, y, -4? y Let g = 8 + -14. Let u = -7 - g. Let r be (-1)/((-2)/(2/3)). What is the second biggest value in u, -5, r? u Let o = 191 - 189. Which is the biggest value? (a) 3 (b) 1 (c) 0.2 (d) o a Let y = -113 - -679/6. Let z = -2/15 - 2/3. Which is the second biggest value? (a) 0.1 (b) y (c) z a Let o = 33/40 + -9/40. Let l = 5 + -2. What is the biggest value in 0, l, o? l Let d = -9 - -7. What is the third smallest value in d, 10, 2, -2/13? 2 Let o = 19 - 10. Which is the second biggest value? (a) -3 (b) o (c) 0.1 (d) 5 d Let q = 0.96 - 0.36. Which is the smallest value? (a) 0.2 (b) q (c) -3/4 c Let r = -0.1 - 0.1. Let a = -0.1 - r. What is the smallest value in -5, 3, a? -5 Let c be (-11)/(-6) + (-21)/14. What is the third smallest value in -1, -0.1, c? c Let f = 0 - 0.5. Let x = 19 + -22. Which is the smallest value? (a) -9 (b) f (c) x a Let i = 35 - 34.83. Let l = i + -0.07. Which is the biggest value? (a) l (b) -0.2 (c) -3 a Let y = 3 + -0.5. Let c = y + -3. Let k = -0.07 - -0.17. What is the biggest value in c, k, -3/2? k Let t = 123 - 120. Let r = -4 + -1. Which is the third smallest value? (a) t (b) r (c) -0.3 a Let a = 5.6 - 5.1. Let s = 2.2 - 2. Let z = s + 0.1. What is the second smallest value in a, -4, z? z Let j = 0 + -0.1. Let s = 8 + -12. Which is the third smallest value? (a) s (b) j (c) -1/4 b Let q = -31.87 + 32.
{ "pile_set_name": "DM Mathematics" }
3 + 81*m**3 - 84*m**3. -189*m**3 Collect the terms in -3*z**3 - 179*z - 461*z**2 + 179*z + 461*z**2. -3*z**3 Collect the terms in -12*h - 4*h - 17*h + 19*h. -14*h Collect the terms in -31*d**2 - 83 + 42 + 41 + 16*d**2. -15*d**2 Collect the terms in -9*d - 8*d + 23*d - 9*d. -3*d Collect the terms in 213*b - b**3 + 3*b**3 + 31*b. 2*b**3 + 244*b Collect the terms in 2*b**3 + 5*b**3 - 2*b**3 + 0*b**3. 5*b**3 Collect the terms in 0 - 13*r - 32*r + 2. -45*r + 2 Collect the terms in 43*k - 127*k + 2274*k**2 - 2273*k**2. k**2 - 84*k Collect the terms in -78 - 6*q**2 + 78. -6*q**2 Collect the terms in -1393*m**2 - 107*m**2 - 725*m**2. -2225*m**2 Collect the terms in 1 - 1 - 15*g - 2 + 166*g. 151*g - 2 Collect the terms in 35*q - 78*q + 40*q. -3*q Collect the terms in -4 + 9*u - 3*u + 4. 6*u Collect the terms in 4*m - 2*m - 5*m. -3*m Collect the terms in 14*u**2 + u**2 + 11*u**2. 26*u**2 Collect the terms in 15*x**2 + x**2 - 1818*x + 1818*x. 16*x**2 Collect the terms in -105*k**3 - 28 + 28. -105*k**3 Collect the terms in 589*w**2 + 309*w - 309*w. 589*w**2 Collect the terms in 1 - 1021*s**3 - 1. -1021*s**3 Collect the terms in 7*t + 17 - 30 + 13. 7*t Collect the terms in -458*q**3 + 967*q**3 - 466*q**3. 43*q**3 Collect the terms in -t + 4*t + 0*t. 3*t Collect the terms in -62 - 51*f + 62. -51*f Collect the terms in 3*h - 3*h - 4*h**2 + 13*h**2. 9*h**2 Collect the terms in 3*y + 36 - 83 + 47. 3*y Collect the terms in -153 + 7*n + 73 + 79. 7*n - 1 Collect the terms in -2 + 15 - 3 - 10 - x. -x Collect the terms in -422*b**2 + 846*b**2 - 438*b**2. -14*b**2 Collect the terms in -3*c**3 - c + c - 9*c - 14*c. -3*c**3 - 23*c Collect the terms in 7*t**2 + 2*t**2 - 6*t**2. 3*t**2 Collect the terms in -1401 + 469 + 465 + 467 - 2*b**2. -2*b**2 Collect the terms in i**3 - 26640*i**2 + 26640*i**2. i**3 Collect the terms in 14752 + y**3 - 14752. y**3 Collect the terms in -2*g - g + 14*g - 3*g. 8*g Collect the terms in -25*x**2 + 56*x**2 - 28*x**2. 3*x**2 Collect the terms in -5*v**2 + 2*v + 2 - 2 - 29*v**2. -34*v**2 + 2*v Collect the terms in 14*s**3 + 20*s - 17*s**3 + 10 - 20*s. -3*s**3 + 10 Collect the terms in 486 - 1462 + 488 + 488 + 2*p**2. 2*p**2 Collect the terms in 247 - 247 + 2*b**2. 2*b**2 Collect the terms in -9*n - 8*n - 7*n + 0*n + 19*n. -5*n Collect the terms in 82*g**3 + 95*g**3 - 265*g**3 + 87*g**3. -g**3 Collect the terms in -2*b - 12*b - 8*b + 21*b. -b Collect the terms in 5 + 6*b**2 + 2*b**2 + 2*b**2. 10*b**2 + 5 Collect the terms in -3 + 3 - 13 - 3*q**3. -3*q**3 - 13 Collect the terms in -401*a**3 + 202*a**3 + 198*a**3. -a**3 Collect the terms in 2*u**2 - 2*u**2 - 272*u**3. -272*u**3 Collect the terms in 2 + 10 - 12 + a. a Collect the terms in -77 - 106 + 183 - 3*p**2. -3*p**2 Collect the terms in d + 2710 - 2710. d Collect the terms in 255*f**2 - 741*f**3 - 255*f**2. -741*f**3 Collect the terms in -m**2 + 12*m**2 + 38*m**2 - 5*m**3. -5*m**3 + 49*m**2 Collect the terms in -2 + 2 + 469*g**2. 469*g**2 Collect the terms in 3*p**2 + 8*p**2 - 2*p**2 + 6. 9*p**2 + 6 Collect the terms in 25*i - 47*i + 19*i. -3*i Collect the terms in 3 + 19*j - 50*j - 23. -31*j - 20 Collect the terms in 4*n**3 - 7*n**3 + 11*n - 57*n + 2*n**3. -n**3 - 46*n Collect the terms in -33*x**2 - 24*x**2 + 17*x**2. -40*x**2 Collect the terms in -5151*b**3 - 5146*b**3 + 10296*b**3. -b**3 Collect the terms in 6*b**3 - 3*b**3 + 0*b**3 - 12*b - 4*b**3. -b**3 - 12*b Collect the terms in 402*w - 2*w**3 - 799*w + 397*w. -2*w**3 Collect the terms in -25*n + 9*n + 6*n + 4*n + 4*n. -2*n Collect the terms in 46*v**2 - 98*v**2 + 40*v**2. -12*v**2 Collect the terms in 337*t - 662*t + 62*t**3 + 325*t - 60*t**3. 2*t**3 Collect the terms in -7*w**2 - 6*w**2 + 8*w**2. -5*w**2 Collect the terms in 2687*b + 2*b**2 - 2*b**2 + 13*b**3 - 2687*b. 13*b**3 Collect the terms in 772 - 772 - 2*m. -2*m Collect the terms in 50*j**2 + 49*j**2 + 54*j**2 + 45*j**2 - 200*j**2. -2*j**2 Collect the terms in 30*r - 65 + 126 - 61. 30*r Collect the terms in -6*m + m - 4*m + 19*m. 10*m Collect the terms in 45*t - 45*t - 7*t**2. -7*t**2 Collect the terms in -3*m**2 + 457*m - 457*m. -3*m**2 Collect the terms in -1 + 4 - 3 + 259*y. 259*y Collect the terms in -7603*k**2 + 7603*k**2 - 3*k**3. -3*k**3 Collect the terms in 17*w - 41*w + 27*w. 3*w Collect the terms in 3*i**3 - i**3 - 3*i**3 + 0*i**3 - 7*i**3. -8*i**3 Collect the terms in -738954*v + 738954*v - 5*v**2. -5*v**2 Collect the terms in 2*o**2 - 122*o**3 - 216*o**3 - 2*o**2. -338*o**3 Collect the terms in 291*b**2 + 3*b - 283*b**2 - 3*b. 8*b**2 Collect the terms in x + x - 4*x - 16. -2*x - 16 Collect the terms in -2*c**2 - 4*c**2 + 0*c**2 + c**2. -5*c**2 Collect the terms in -12*c**3 + 24*c**3 + c**2 - c**2. 12*c**3 Collect the terms in -16*m**2 - 18*m + 18*m - 15*m**2. -31*m**2 Collect the terms in 6*x + 25*x - 5*x + 4*x. 30*x Collect the terms in 6*p**3 - 3*p**3 - 8*p**3. -5*p**3 Collect the terms in 5*z**3 + 531*z**2 - 266*z**2 - 265*z**2. 5*z**3 Collect the terms in 16*r**3 - 28*r**3 + 13*r**3. r**3 Collect the terms in -1476 - 4*z**3 + 1476 + 7*z**3. 3*z**3 Collect the terms in 612*a**3 + 331*a**3 + 165*a**3. 1108*a**3 Collect the terms in 15*q - 45*q + 15*q + 9*q + 3*q. -3*q Collect the terms in -803057*g**2 + 803057*g**2 + g**3 - 2*g**3. -g**3 Collect the terms in -35*u + 19*u + 13*u. -3*u Collect the terms in -111398 + 111398 - z**3. -z**3 Collect the terms in -168*r**3 - r - 147*r**3 + r. -315*r**3 Collect the terms in 2*s**2 + 242*s - 242*s + 5 - 5. 2*s**2 Collect the terms in -2*t - 258*t**2 + 2*t + 270*t**2. 12*t**2 Collect the terms in 62*u**2 + 13*u**2 - 76*u**2. -u**2 Collect the terms in -2*a**3 + 4*a**3 + 0*a**3 + 9*a**3. 11*a**3 Collect the terms in 5*s + 18*s + 14*s. 37*s Collect the terms in -69*g - 77*g - 6*g. -152*g Collect the terms in 9*p + 2*p**2 - 8*p - p. 2*p**2 Collect the terms in 3*x + x - x - x + 10. 2*x + 10 Collect the terms in 10*s - 4*s - 3*s + 11*s. 14*s Collect the terms in 10 + 18 - 28 + 33*d**3. 33*d**3 Collect the terms in 93*z - 55*z - 39*z. -z Collect the terms in 8*x**3 - 25*x**3 + 8*x**3 + 6*x**3 + x**3. -2*x**3 Collect the terms in 2 - 8*x + 25*x - 19*x - 2. -2*x Collect the terms in 121*o**3 - 103*o**3 + 1 + 2. 18*o**3 + 3 Collect the terms in -2 - 9 - 9*h + 11. -9*h Collect the terms in -z + 9*z - 10*z. -2*z Collect the terms in 17*b + 15*b + 3*b - 34*b. b Collect the terms in 8*j**2 + 20*j**2 - 19*j**2. 9*j**2 Collect the terms in 64 - 2*x**2 - x**2 - 19. -3*x**2 + 45 Collect the terms in -634 + 2*v + 634 + 3*v - 6*v. -v Collect the terms in 371*k - 11 + 11 - 179*k - 189*k. 3*k Collect the terms in -41 + 11*n**3 + 17 + 24. 11*n**3 Collect the terms in 19*b - 9*b - 3*b. 7*b Collect the terms in h - 34530 + 34530. h Collect the terms in -4*q**2 + 6*q**2 - 2*q**2 - 4*q**2 + 5*q**2. q**2 Collect the terms in 0 + 6347*v - 6333*v + 0. 14*v Collect the terms in -157*v**2 + 24*v**2 - 207*v**2 + 79*v**2. -261*v**2 Collect the terms in -352*d + 1314*d + 1684*d. 2646*d Collect the terms in -23*z**2 + 46*z**2 - 19*z**2. 4*z**2 Collect the terms in 36 - 200*b**2 - 287*b**2 - 36. -487*b**2 Collect the terms in 8 - 19 + 4*y**3 + 11 - 2*y**3. 2*y**3 Collect the terms in -p - 17*p - 14*p + 8*p. -24*p Collect the terms in 6*j**3 - 8*j + 8*j. 6*j**3 Collect the terms in -3*r - 4*r**3 - 6*r**3 + 3*r. -10*r**3 Collect the terms in -126*u**2 + 126*u**2 - 4*u**3. -4*u**3 Collect the terms in -6*s**2 - 4*s**2 - 9*s**2 + 14*s**2. -5*s**2 Collect the terms in -13*a - 21*a - 19*a - 2*a**2. -2*a**2 - 53*a Collect the terms in 3 - 3*f - 10 + 20. -3*f + 13 Collect the terms in -4*n - 4*n - 7 + 8*n - 4*n. -4*n - 7 Collect the terms in 1 + 264*k - 1 - 230*k. 34*k Collect the terms in 0 + 0 - 41*j + 35*j. -6*j Collect the terms in -78*w**3 + 1 - 3 + 0. -78*w**3 - 2 Collect the terms in -199*o - 202*o - o**2 + 401*o + 0*o**2. -o**2 Collect the terms in -6*c - 3*c + 25*c - 3*c - 10*c. 3*c Collect the terms in -93*z**2 + 162*z**2 - 72*z**2. -3*z**2 Collect the terms in 8*l**3 - 4*l**3 - 11*l**3 - 12*l**3. -19*l**3 Collect the terms in -152*r**3 - 152*r**3 - 153*r**3 + 452*r**3. -5*r**3 Collect the terms in 15661114*m - 15661114*m + 2*m**3. 2*m**3 Collect the terms in -35 - 3*q + q + 0*q. -2*q - 35 Collect the terms in l**2 - 11674*l + 11674*l. l**2 Colle
{ "pile_set_name": "DM Mathematics" }
- 2881 What is the p'th term of -1850, -1850, -1788, -1634, -1358, -930, -320? 5*p**3 + p**2 - 38*p - 1818 What is the q'th term of 76434, 152934, 229434? 76500*q - 66 What is the j'th term of -273210, -273225, -273240, -273255, -273270? -15*j - 273195 What is the w'th term of -1604247, -6416960, -14438153, -25667826, -40105979, -57752612? -1604240*w**2 + 7*w - 14 What is the m'th term of 35038733, 35038742, 35038751, 35038760? 9*m + 35038724 What is the t'th term of 172568, 345123, 517672, 690215, 862752, 1035283? -3*t**2 + 172564*t + 7 What is the f'th term of 440216, 880437, 1320658? 440221*f - 5 What is the b'th term of 7554, 7333, 7206, 7221, 7426, 7869, 8598, 9661? 8*b**3 - b**2 - 274*b + 7821 What is the t'th term of -113687959, -113687961, -113687963? -2*t - 113687957 What is the n'th term of 8488, 16603, 24348, 31723? -185*n**2 + 8670*n + 3 What is the j'th term of 145999, 146052, 146109, 146170, 146235, 146304, 146377? 2*j**2 + 47*j + 145950 What is the o'th term of -35195248, -70390501, -105585754, -140781007? -35195253*o + 5 What is the a'th term of 14009, 14144, 14279? 135*a + 13874 What is the o'th term of 686, 5859, 11038, 16223, 21414, 26611? 3*o**2 + 5164*o - 4481 What is the l'th term of 296, -183, -892, -1831, -3000, -4399, -6028? -115*l**2 - 134*l + 545 What is the i'th term of -11791, -47216, -106301, -189046, -295451? -11830*i**2 + 65*i - 26 What is the y'th term of 20297, 20442, 20587, 20732, 20877, 21022? 145*y + 20152 What is the o'th term of 281874, 281863, 281844, 281817? -4*o**2 + o + 281877 What is the c'th term of 1834637, 3669275, 5503913, 7338551, 9173189? 1834638*c - 1 What is the g'th term of 5914, 14749, 23584, 32419? 8835*g - 2921 What is the k'th term of -4628, -4329, -4030, -3731, -3432, -3133? 299*k - 4927 What is the i'th term of 71321, 142632, 213941, 285248, 356553? -i**2 + 71314*i + 8 What is the j'th term of 4859520, 9719034, 14578534, 19438014, 24297468, 29156890, 34016274, 38875614? -j**3 - j**2 + 4859524*j - 2 What is the k'th term of 2946, 7558, 12168, 16782, 21406, 26046? k**3 - 7*k**2 + 4626*k - 1674 What is the y'th term of -1220, -7428, -23586, -54668, -105648? -829*y**3 - y**2 - 402*y + 12 What is the d'th term of -24334, -24620, -24906, -25192, -25478, -25764? -286*d - 24048 What is the t'th term of 3394, 7382, 11372, 15364, 19358, 23354, 27352? t**2 + 3985*t - 592 What is the j'th term of 4279, 4356, 4585, 5044, 5811? 13*j**3 - 2*j**2 - 8*j + 4276 What is the a'th term of -393373, -786869, -1180365? -393496*a + 123 What is the v'th term of -458214, -916410, -1374606, -1832802? -458196*v - 18 What is the i'th term of 30761, 59736, 88711, 117686, 146661? 28975*i + 1786 What is the v'th term of -196, 202, 928, 1982, 3364, 5074, 7112? 164*v**2 - 94*v - 266 What is the b'th term of -627, -4094, -13041, -30060, -57743, -98682, -155469? -432*b**3 - 148*b**2 + b - 48 What is the o'th term of 59381615, 118763228, 178144841, 237526454, 296908067? 59381613*o + 2 What is the o'th term of -2673, -4216, -8423, -16626, -30157, -50348? -222*o**3 + 11*o - 2462 What is the c'th term of -56847, -56612, -56377, -56142? 235*c - 57082 What is the k'th term of 502, -193, -2084, -5771, -11854, -20933? -100*k**3 + 2*k**2 - k + 601 What is the d'th term of -464, -1076, -1664, -2228? 12*d**2 - 648*d + 172 What is the b'th term of 1698164, 3396323, 5094482, 6792641? 1698159*b + 5 What is the f'th term of 5556, 11854, 18286, 24918, 31816? 11*f**3 + f**2 + 6218*f - 674 What is the n'th term of 164635, 659050, 1483075, 2636710, 4119955, 5932810? 164805*n**2 - 170 What is the n'th term of -18747, -37136, -55527, -73920, -92315, -110712, -129111? -n**2 - 18386*n - 360 What is the g'th term of -2549, -4131, -5713? -1582*g - 967 What is the i'th term of -191827, -767318, -1726479, -3069310? -191835*i**2 + 14*i - 6 What is the m'th term of 139498, 557282, 1253582, 2228392, 3481706? -m**3 + 139264*m**2 - m + 236 What is the s'th term of -531, 2331, 8573, 18195? 1690*s**2 - 2208*s - 13 What is the k'th term of -103319, -412917, -928913, -1651307, -2580099? -103199*k**2 - k - 119 What is the x'th term of -1733, -1765, -1797, -1829? -32*x - 1701 What is the q'th term of -7099, -13145, -19191, -25237, -31283, -37329? -6046*q - 1053 What is the i'th term of 2672, -783, -4238, -7693? -3455*i + 6127 What is the v'th term of 7456, 6505, 4920, 2701? -317*v**2 + 7773 What is the m'th term of 4977, 20622, 36267, 51912, 67557, 83202? 15645*m - 10668 What is the p'th term of -112453, -113600, -115509, -118180, -121613, -125808? -381*p**2 - 4*p - 112068 What is the h'th term of 7637, 15313, 23013, 30749, 38533? 2*h**3 + 7662*h - 27 What is the w'th term of 201690, 403356, 605034, 806730, 1008450? w**3 + 201659*w + 30 What is the f'th term of 82011, 164012, 245987, 327936, 409859? -13*f**2 + 82040*f - 16 What is the x'th term of -199, -1923, -6589, -15673, -30651, -52999? -246*x**3 + 5*x**2 - 17*x + 59 What is the x'th term of -55509992, -55509996, -55510000, -55510004, -55510008, -55510012? -4*x - 55509988 What is the i'th term of -23135, -22918, -22549, -22022, -21331, -20470, -19433, -18214? i**3 + 70*i**2 - 23206 What is the x'th term of -5477561, -5477562, -5477563, -5477564, -5477565, -5477566? -x - 5477560 What is the z'th term of -248828, -248852, -248886, -248930? -5*z**2 - 9*z - 248814 What is the b'th term of -6056988, -6057035, -6057082? -47*b - 6056941 What is the t'th term of -6530573, -13061149, -19591723, -26122295, -32652865, -39183433, -45713999? t**2 - 6530579*t + 5 What is the d'th term of -111872128, -111872129, -111872130, -111872131? -d - 111872127 What is the a'th term of -1445, -8147, -19309, -34925, -54989, -79495, -108437, -141809? a**3 - 2236*a**2 - a + 791 What is the o'th term of 6952, 13868, 20782, 27694, 34604? -o**2 + 6919*o + 34 What is the k'th term of -92936, -93094, -93252, -93410, -93568, -93726? -158*k - 92778 What is the n'th term of -3289937668, -3289937669, -3289937670, -3289937671, -3289937672? -n - 3289937667 What is the g'th term of -2621, -5719, -8817, -11915, -15013, -18111? -3098*g + 477 What is the t'th term of 11144757, 22289512, 33434267, 44579022, 55723777? 11144755*t + 2 What is the h'th term of 4559078, 4559074, 4559070, 4559066, 4559062? -4*h + 4559082 What is the u'th term of -32042397, -64084798, -96127199, -128169600, -160212001, -192254402? -32042401*u + 4 What is the f'th term of -2525, -4024, -8093, -16016, -29077? -214*f**3 - f**2 + 2*f - 2312 What is the d'th term of 76, 948, 2694, 5314? 437*d**2 - 439*d + 78 What is the w'th term of -2028326, -4056723, -6085118, -8113511? w**2 - 2028400*w + 73 What is the v'th term of -1838, -4848, -7858? -3010*v + 1172 What is the k'th term of 5587, 6995, 8381, 9733, 11039, 12287, 13465? -2*k**3 + k**2 + 1419*k + 4169 What is the n'th term of -42705, -85709, -128713, -171717, -214721? -43004*n + 299 What is the y'th term of -9561, -38835, -87763, -156351, -244605? -y**3 - 9821*y**2 + 196*y + 65 What is the j'th term of 30335, 242533, 818505, 1940135, 3789307? 30314*j**3 + 3*j**2 - 9*j + 27 What is the j'th term of 3870877, 7741752, 11612627, 15483502, 19354377, 23225252? 3870875*j + 2 What is the x'th term of 8538685, 17077371, 25616057, 34154743, 42693429, 51232115? 8538686*x - 1 What is the x'th term of 9024, 39051, 89096, 159159, 249240? 10009*x**2 - 985 What is the h'th term of 2110, 14271, 36474, 68713, 110982? -h**3 + 5027*h**2 - 2913*h - 3 What is the d'th term of 62313, 61574, 60839, 60108, 59381, 58658? 2*d**2 - 745*d + 63056 What is the c'th term of 364193, 728394, 1092607, 1456838, 1821093, 2185378? c**3 + 364194*c - 2 What is the w'th term of 5150, 25001, 59572, 108863, 172874? 7360*w**2 - 2229*w + 19 What is the d'th term of 2049076, 2049086, 2049096, 2049106? 10*d + 2049066 What is the i'th term of -714848, -714784, -714720, -714656, -714592, -714528? 64*i - 714912 What is the a'th term of 15823621, 15823628, 15823635, 15823642? 7*a + 15823614 What is the w'th term of 1135372, 1135376, 1135376, 1135372, 1135364, 1135352? -2*w**2 + 10*w + 1135364 What is the o'th term of -5394872, -21579514, -48553918, -86318084, -134872012, -194215702? -5394881*o**2 + o + 8 What is the n'th term of -7305339, -7305340, -7305341, -7305342, -7
{ "pile_set_name": "DM Mathematics" }
+ 2*p**2 + 2*p + 1. Is s(-5) composite? False Let f(j) = 25*j**2 - j - 7. Is f(-4) a composite number? False Let x = 163 + -86. Is x a prime number? False Suppose -3*r + 6*r - 12 = 0. Suppose 4*n - 2710 = q, 0*q - r*q - 8 = 0. Is n composite? False Suppose -6*a = -3*a + 3. Let k(y) = -70*y - 1. Is k(a) prime? False Let v = 861 + -494. Is v prime? True Suppose -26 - 11 = -h. Let v = -18 + h. Is v composite? False Let k(x) be the second derivative of 5*x**3/2 + 3*x**2/2 - 8*x. Is k(2) a composite number? True Suppose -5*b + 15 = -2*b. Suppose -p + 0*p = -t - 28, -t = -b*p + 144. Suppose v - p = -2*c, -54 = 2*v - 4*v - 5*c. Is v a prime number? True Is -4 - (1 + -6) - -140 a prime number? False Suppose 0 = 4*o - 25 - 7. Suppose -3*v + o = -1, -4*s - 3*v = -93. Is s a prime number? False Let q(a) = 21*a**3 - 10*a**2 + 7*a - 1. Is q(7) a prime number? True Let b(y) = 12*y**2 - 6*y - 3. Is b(-3) prime? False Suppose 60 + 30 = 2*c. Let d = c + -11. Is d prime? False Let o(y) = -y - 4. Let c be o(-8). Suppose -40 = -g - r, c*g - 3*g + 3*r - 50 = 0. Let w = g - 13. Is w composite? True Suppose 0 = 24*h - 72322 - 25862. Is h composite? False Suppose -4 = -5*h + 3*h. Suppose 4*o - h*o - 10 = 0. Suppose 127 = o*x + 32. Is x a prime number? True Let n(t) = -t**3 - t**2 + 6*t + 4. Let v be n(-3). Let q(z) = 2*z - 1. Let o be q(3). Suppose 5*l = 3*w + 806, -v = o*w - 19. Is l a prime number? True Let v(q) = 189*q**3 - q**2 + 2 - 48*q**3 - 2. Let z be v(1). Suppose 2*f - z = -2*f. Is f composite? True Suppose 4*z + 4*s - 2083 = -83, 3*z = s + 1508. Is z prime? False Let b(t) be the second derivative of -2*t**5/5 - t**4/2 - t**3/6 - t**2/2 + t. Is b(-4) composite? False Let j(q) = q**2 + q - 1. Let w be j(-4). Let m = w + -8. Suppose -3*n + 342 = -m*i, -3*i - 94 = -n - 6*i. Is n prime? True Let n(j) = -4*j - 4. Let c be n(-3). Let t be (-206)/(-8) - (-2)/c. Suppose -115 = -5*v + 2*l, 3*l - 2*l + t = v. Is v prime? False Suppose 2*p + 4 - 10 = -5*v, -v - 3*p = -9. Let n(a) = 0*a + 5*a - 4 + v. Is n(3) a composite number? False Suppose -2*o = -4*z + 1142, -3*z - 7*o + 8*o + 858 = 0. Is z a composite number? True Suppose -g = 3*g + 4, -5*g = -2*w + 637. Suppose 2*b = -2*b + w. Is b prime? True Suppose 3*t - 10 = -2*t. Let y = t - 8. Let j = 13 - y. Is j prime? True Suppose -2 = -5*a - 12. Is 52 - ((a - -2) + 3) a prime number? False Let v(r) = r + 4. Let g be v(-4). Suppose g = 4*a - 772 - 184. Is a a composite number? False Let h(x) = -x + 1. Let m(q) = -8*q + 1. Let u(r) = -2*h(r) + m(r). Is u(-2) a prime number? True Is (3/(-2) - 0)*(-238)/3 a composite number? True Let d(u) = -2*u**3 + 4*u**2 + 2*u - 25. Is d(-12) a prime number? False Let v(h) = -h**3 + h**2 + h + 55. Is v(0) a prime number? False Let l = -1 - -6. Suppose -l*x + 1295 = p - 565, 4*x - 1502 = 2*p. Is x composite? False Let b(r) be the first derivative of r**3/3 - 2*r - 1. Let o be 12/((-8)/(-2)) - -3. Is b(o) prime? False Let s = 0 + 1. Suppose 6 - s = z. Suppose z*x = -2*o + 85, x - 2*x + 2*o + 5 = 0. Is x a prime number? False Let v(g) = 3*g - 1. Let f be v(-1). Is 7 + (f - (-9)/3) composite? True Let k(v) = 482*v - 6. Let r(l) = 241*l - 3. Let g(j) = -6*k(j) + 13*r(j). Is g(2) a prime number? True Let t = 102 + -262. Let i = t - -315. Is i composite? True Suppose 2*r - 3*n + 170 + 1052 = 0, 5*n - 20 = 0. Let a = -385 - r. Let d = a + 87. Is d a composite number? False Is (-10)/4*618/(-15) a prime number? True Let o be (-6)/(-10) + 1122/5. Let q = o - 98. Is q a prime number? True Let r(b) = 7*b**2 + 8*b + 8. Let d be r(7). Let p = -76 + d. Is p a prime number? True Suppose 14*t - 6789 - 5279 = 0. Is t prime? False Suppose -3*r = -515 - 2938. Is r prime? True Let w(i) = 10*i**2 - 13*i. Is w(11) a composite number? True Let l = -233 + 538. Is l a prime number? False Let h = 1013 + -36. Is h composite? False Let g = 6792 + -3819. Is g a composite number? True Suppose 2*p = -3*f + 1450, -3*p - 1336 = -4*f - 3477. Is p a prime number? True Let q(c) = 2*c + 10. Let w be q(7). Suppose b + 3*m = 14, b + 0*b + m - w = 0. Suppose -5*p - b = -5*l + 61, 5*p - 24 = -l. Is l a composite number? False Let t(w) be the first derivative of 2 - 1/4*w**4 + 8/3*w**3 - 3*w**2 + w. Is t(6) a prime number? True Let u(h) = 2*h**3 - h**2 + h + 1. Let f be u(-1). Is (28/6 + f)*21 a composite number? True Let q be 2/7 + (-516)/42. Is -1 - (-29 - q/(-4)) prime? True Let l(v) = 4 - 15*v**3 + 0 + 0 - v**2 - v. Is l(-3) a composite number? True Suppose -3*i + 24 - 12 = 0. Suppose u = 78 + i. Is u composite? True Let k = -10 + 14. Suppose k*j = -j - 10. Is (-3)/((-9)/48) + j a composite number? True Let d = 3 - -188. Is d prime? True Is (-135)/(-2) + (-5)/10 composite? False Let u(w) = -71*w + 5. Let p be (5/1)/((-4)/4). Let y be u(p). Suppose -5*o = -5*r - 0*r - y, 2*r = 4*o - 278. Is o a composite number? False Is 4/(-18) + ((-35556)/27)/(-4) prime? False Let t = -258 + 639. Is t a prime number? False Let u(g) = -g**3 - 5*g**2 + g + 5. Let h be u(-6). Let o = h - -126. Is o a prime number? False Let n = 1 - 4. Let k be ((-2)/(-3))/(n/(-45)). Suppose -3*m + m = -k, 0 = -2*d - m + 97. Is d composite? True Let o(d) = d**3 + 6*d**2 + 4*d**3 - 4*d**3 - 2. Let t be o(-6). Let j = t + 13. Is j composite? False Suppose -a + 31 = 4*l - 6*a, 2*a = -3*l + 6. Suppose -l*s = 2*r - 218, 0*s = s + 5. Suppose -r - 118 = -3*i. Is i a prime number? True Let m(r) = -2*r**3 - 10*r**2 - 8*r - 1. Let l be m(-6). Let q = -82 + l. Is q composite? False Let o = -3 - 7. Is ((-5)/o)/((-2)/(-716)) a composite number? False Suppose 4 + 2 = -b. Is (-38 + 0)*3/b a prime number? True Suppose 2*t = 16*t - 27034. Is t prime? True Let g be (10/3)/((-6)/9). Let h = g + 9. Suppose -m = 3*s - 86, 5*m + h*s + 18 = 415. Is m a prime number? False Suppose 116 = 3*c + c. Let d = c + 6. Is d a composite number? True Let m(u) = -3*u**3 + 2*u**2 + 2*u + 1. Let r be m(-1). Let j(q) = -q + 3. Let k be j(-3). Suppose -r*x - 46 = -k*x. Is x composite? False Suppose 0 = -3*k - k. Suppose k = z - 0*z + 2*b - 139, -3*z - 2*b = -437. Is z a composite number? False Let a(t) = t**2 + 14*t + 18. Let b be a(-12). Suppose 3*p = -17 - 43. Let n = b - p. Is n prime? False Let b be 6479/22 - 1/(-2). Let k = b - -58. Is k composite? False Let i(b) = -b**2 + b + 9. Let v be i(-7). Let f = 86 + v. Is f a prime number? False Let x(c) = 2*c**2 - 10*c - 13. Let u be x(12). Suppose -2129 = -6*t - u. Is t a prime number? False Suppose -2*h + 3*i = 2*h - 4, h + 5*i = -22. Is (-423)/(-4) + h/(-8) prime? False Let i(w) = w + 4. Let u be i(0). Is (2/u)/((-1)/(-534)) composite? True Suppose 3*q - 3165 = -0*q. Is q prime? False Let b = 26 + -16. Is b prime? False Let q(z) = z**2 - 4*z - 4. Let w be q(5). Let c(k) = 21*k - 1. Let i be c(w). Suppose i = 4*j - 8. Is j prime? True Suppose -2*o - 4 = -3*o. Suppose 0 = o*u + x - 580, -x - 3*x = -4*u + 580. Is u prime? False Let i(c) = -c**3 + 13 + 0*c - 3*c - 2*c + 0*c**3 + 12*c**2. Is i(9) a prime number? True Suppose -x = -3*x + 2. Let d be ((-2)/4)/(x/(-34)). Let v = -8 + d. Is v prime? False Let y be (0 + 0)*(-6)/(-12). Let u = 39 - y. Is u composite? True Let g(i) = 90*i**2 + 5*i + 16. Is g(-7) prime? True Let b(y) = -y - 12. Let a be b(-8). Let r be (-2)/8 + 111/a. Is 8/r - (-2757)/21 a prime number? True Suppose -d = 4*o - 893, 0*o - 2664 = -3*d + 3*o. Is d composite? True Let b = 1943 - 408. Is b prime? False Let h be (-9)/(-6)*(-508)/(-6). Suppose -3*b - 3*o + 363 = 0, b + 0*b - 119 = -3*o. Suppose 0 = 3*v + 5*t - h, -4*v + v - 4*t = -b. Is v composite? True Suppose -n + 0*n + 75 = 0. Suppose j + 4*h - n = -2*j, 5*j - h - 102 = 0. Is j a composite number? True Let s = 977 - 636. Is s a composite number? True Let f(y) be the second derivative of y**4/6 - y**3 - y**2/2 - 16*y. Suppose -3*v - i - 14 = 0, -v + 8*i = 3*i - 6. Is f(v) composite? True Let f(q) = -q**2 - 4*q + 5. Let t be f(-6). Let x = 10 + t. Suppose 6 = 3*n, -2*b + 6*b - x*n = 142. Is b a composite number? False Suppose 0 = 5*u + 25, 4*u = -r - 3*r + 428. Let h = r - 33. Is h a composite number? False Let a(l) = -l**3 + 6*l**2 + 3*l + 4. Let m be 2*(1 - 2*-2). Let y be (m - -2)*(-2)/(-4). Is a(y) a prime number? False Suppose -4*g = -2*r + 10, -3*r + 0 = -5*g - 12. Let k be
{ "pile_set_name": "DM Mathematics" }
3073, -17990 = 5*r - 5*x. Round r to the nearest 1000. -4000 Let m = 0.37 - -3.83. Let g = -10 + m. Round g to 0 decimal places. -6 Let o = 4.87581 - 0.03281. Let k = o - 4.9. Round k to two dps. -0.06 Let n = 115.99999836 - 116. Round n to seven dps. -0.0000016 Suppose -t = -2*t - 5*d - 820025, 4099980 = -5*t + 4*d. Round t to the nearest 100000. -800000 Let f = 113.000063 - 113. What is f rounded to 5 decimal places? 0.00006 Let m = 125222 + -278222. What is m rounded to the nearest 10000? -150000 Let x(c) = 3*c + 1 + 0 - 3*c + c. Let z(g) = 830005*g - 4. Let y(k) = -6*x(k) + z(k). Let r be y(-10). Round r to the nearest one million. -8000000 Let i = 4.03 - -185.97. Let b = -134 + i. Let s = -55.947 + b. What is s rounded to 2 dps? 0.05 Let z(c) = -400*c**2 + 2*c - 14. Suppose -d + 10 = -0. Let k be z(d). Let q be 4 - k - 1*-2. Round q to the nearest 100000. 0 Suppose -4*b = -5*n - 37, b - 3*n - 27 = -2*b. Suppose 4 = 5*w + 3*c - 2, -4*c + b = -w. Suppose j + 0*j = w. What is j rounded to the nearest ten? 0 Let r = -16 - -16.000007. Round r to 6 dps. 0.000007 Suppose 0 = -3*l + n + 103011, -l + 0*n - 3*n = -34337. Suppose 2444241 = -3*x + 747252. Let m = l - x. What is m rounded to the nearest 100000? 600000 Let n = 22 + -21.99999935. Round n to 7 dps. 0.0000007 Let s = 1518772.099935 + -1518769. Let p = s - 3.1. What is p rounded to 5 decimal places? -0.00007 Let i = -20462878151811 - -20462887994374.799983. Let q = i + -9842568. Let f = q - -4.2. What is f rounded to five decimal places? -0.00002 Suppose -j - 5 = 0, -3*d + 8*d - 1509990 = -2*j. What is d rounded to the nearest ten thousand? 300000 Let f(d) = -683*d. Let b(p) = -15708*p. Let n(o) = -6*b(o) + 136*f(o). Let z be n(-5). Round z to the nearest one thousand. -7000 Suppose -2*p = -3*x + 1233000, 0 = -7*x + 2*x + 2*p + 2055000. Suppose -4*o = -o - x. Round o to the nearest 10000. 140000 Suppose -n = a + 143, n = -3*n - a - 587. Let i = n + 248. What is i rounded to the nearest 1000? 0 Suppose -h = -0*h + 168109. Let m = 268111 + h. Let l be 2 + 0 + 0 - m. What is l rounded to the nearest 1000000? 0 Let c = -2818 - -2991.3. Let b = c - 182. Let i = 8.29 + b. What is i rounded to one decimal place? -0.4 Let y = -160 - -159.994. Round y to 3 decimal places. -0.006 Suppose 5*i - 12550 = -35695. Let d = -71 + i. Round d to the nearest one thousand. -5000 Let l = 16331983 + -31831983. Round l to the nearest 1000000. -16000000 Let d = -2.3 - 8.7. Let n = d + 10.1. Round n to one dp. -0.9 Let u = 0.7 + -6.7. Let r = 6.0086 + u. What is r rounded to three dps? 0.009 Let s = -0.99866 + 1. Round s to four dps. 0.0013 Let d = -2848 + 1029.2. Let g = 1817.7857 + d. Let w = g + 1.01. What is w rounded to three dps? -0.004 Suppose 3*b = 6812129 - 17612129. Round b to the nearest one million. -4000000 Let w = 103.9 + -87. Round w to the nearest integer. 17 Suppose -3*p + p + 4 = 0. Suppose p*a + 4 = 6. Let k be a + 0 + 6 + -1. What is k rounded to the nearest ten? 10 Let q = 0.5 + -0.6. Let a = 0.35 + q. Let x = -0.2 + a. Round x to two decimal places. 0.05 Suppose 633 = -5*k - 367. What is k rounded to the nearest 100? -200 Let u = 39 - 19. Let o = 30 - u. Let i be 2504/o + (-2)/5. What is i rounded to the nearest one hundred? 300 Let v = 36.7 - 35. Let p = -1.698 + v. What is p rounded to 3 decimal places? 0.002 Let s = -0.13 - -0.405. What is s rounded to two decimal places? 0.28 Let y = 344033.709987 - 344034. Let s = -0.29 - y. Round s to five decimal places. 0.00001 Suppose n - 2*j - 65525 = 16471, -4*n + j = -327998. What is n rounded to the nearest ten thousand? 80000 Let i = -0.03 - 5.17. What is i rounded to the nearest integer? -5 Let p = 3 + -3. Let g be (160/3 - p)*-3. Let j be (g/6)/((-7)/144375). Round j to the nearest one hundred thousand. 600000 Let o = -1576027.216606 - -1576031. Let k = -11.483493 + o. Let x = 7.7 + k. What is x rounded to 5 dps? -0.0001 Suppose 4*j - 5*j + 4*l + 23 = 0, -4*l = -5*j + 67. Let k(c) = -834*c**2 - 8*c + 2. Let y be k(j). What is y rounded to the nearest 10000? -100000 Let q = 7.86 - -0.14. Let t = q - 7.99968. What is t rounded to 4 dps? 0.0003 Let x(c) = -1060001*c - 5. Suppose 0 = -5*q - 0*q + 25. Suppose q*n + 1 = -24. Let o be x(n). Round o to the nearest 1000000. 5000000 Let o(k) = 6*k**2 - 2*k + 3. Let x be o(3). Let p = -9 - x. What is p rounded to the nearest 10? -60 Let a be 4509/(-4) + 4/16 - 3. Round a to the nearest 100. -1100 Let r(m) = -3*m**3 + 3*m**2 + 4*m - 23. Let q be r(6). Round q to the nearest 10. -540 Let v = 73 - 73.006. What is v rounded to 2 dps? -0.01 Let l be ((-9)/(-6))/((-9)/(-31848)). Suppose l + 11792 = 3*g. What is g rounded to the nearest 1000? 6000 Let w be ((-2)/(-6))/(2/30). Suppose -2*y - 30303 = y + 3*r, 3*r = w*y + 50497. What is y rounded to the nearest 1000? -10000 Let p = 121.251979 - 0.188979. Let z = 121 - p. What is z rounded to 2 decimal places? -0.06 Suppose 3*v + 5*j - 24 - 3 = 0, -4*j + 32 = 5*v. Let w be (72/15)/(v/(-750)). What is w rounded to the nearest one thousand? -1000 Let s = 3.1 + -3.10165. Round s to four dps. -0.0017 Let t = 0.2288 + -0.3289. Let f = -0.3 - -0.2. Let w = t - f. Round w to three dps. 0 Let j = -2655739 - 2650663. Let w = -5306402.13499929 - j. Let h = w - -0.135. What is h rounded to 7 decimal places? 0.0000007 Let j = -108.6 + 114. Round j to the nearest integer. 5 Let u = 0.1 - 0.1002. Round u to 3 decimal places. 0 Let x = 9 - 5. Suppose x*y = 240 + 884. Suppose 2*k + 376 = 5*m, 0 = -8*m + 4*m - 5*k + y. Round m to the nearest ten. 70 Let h = 36 - 38.8. What is h rounded to the nearest integer? -3 Let a(v) = -v. Let r be a(6). Let c be 3/r + 811/2. Let l = -165 + c. Round l to the nearest 100. 200 Let y = -0.11 - -0.0806. Let t = 0.03 + y. Round t to four decimal places. 0.0006 Let a = 13 + -40. Let h = -27.0000065 - a. Round h to six dps. -0.000007 Let w be 3 + (2 - 81021 - 1). Let i = w + 164021. Suppose 4*h - i = -y, -3*y + 3*h + 248997 = -0*y. What is y rounded to the nearest 10000? 80000 Let q = -171568.700005 - -171574.7. Let h = -6 + q. Round h to six decimal places. -0.000005 Let j = 7 + 2. Let s = -8.9965 + j. Round s to three dps. 0.004 Suppose -2*w + c = -c, 5*c = w + 12. Let a be (-6898)/(-1 + w) - 1. Let o be a*(2/6 - 1). What is o rounded to the nearest one thousand? 2000 Let v = 65.6 + -23. Let j = v - 79. Let x = j + 31. Round x to the nearest integer. -5 Let t = -4878345 + 2718345. What is t rounded to the nearest one hundred thousand? -2200000 Let w = -12.4 + 6.6. Let a = 5.7999977 + w. Round a to 6 dps. -0.000002 Let a = -63.00089 + 63. What is a rounded to 4 dps? -0.0009 Suppose -4*k = -k - 1725000. What is k rounded to the nearest one hundred thousand? 600000 Let v = 759 - 759.646. Round v to 1 decimal place. -0.6 Let k = 0.2 - 0. Let m = 7255.3000048 - 7255.5. Let r = m + k. Round r to 6 dps. 0.000005 Let s = 8 - 8.5. Let l = 0.50004 + s. Round l to 4 decimal places. 0 Let b be (-120)/(4 + 32003/(-8000)). Let c be b*((-164)/(-8) - 3). Round c to the nearest 1000000. 6000000 Suppose -3*y - 206 = -2*u, 0 = -y - 3*u - 2*u - 97. Let w = -17 - y. Round w to the nearest 10. 60 Let h be 2 + (-13)/((-39)/2039994). Round h to the nearest 100000. 700000 Let q be 4/(-10) + (-3358413)/5. Let m = q - -1204841. Let k = 3533158 - m. Round k to the nearest one million. 3000000 Let b = 0.4 - -3.4. Let k = b + -13. Let o = k + 8.69. Round o to one decimal place. -0.5 Let f = 192 - 137. Let u be f*80/(-7)*-875. What is u rounded to the nearest one hundred thousand? 600000 Let o = -39 - -39.00168. Round o to 4 decimal places. 0.0017 Let l = -68 - -11.8. Let c = 0.8 - l. Let f = c + -56.9969. What is f rounded to 3 decimal places? 0.003 Let h = 292.99999601 - 293. Round h to 7 dps. -0.000004 Let n = 0.3805 + -0.38. What is n rounded to 4 dps? 0.0005 Let f = -0.02 - 0. Let o = -1.6 + 1.84. Let c = o - f. Round c to one dp. 0.3 Let q(s) be the second derivative of 1266667*s**3/2 - s**2 - 2*s. Suppose 0*y + 3*y - 6 = 0. Let x be q(y). Round x to the nearest one million. 8000000 Let d = -1.9 + -2.6. Let i = 4.5084 + d. Round i to three decimal places. 0.008 Let g = 0.007 + 0.768. What is g rounded to one decimal place? 0.8 Suppose 93 = 3*a + 3*h, 3*a + 2*h + 15 - 10
{ "pile_set_name": "DM Mathematics" }
uppose 0 = -6*x + 9*x - s. What is the tens digit of x? 7 Suppose 0 = 5*m - 4*w + 320, -2*m - 2*w = -0*w + 146. Suppose -4*b + 408 = -0*b. Let r = m + b. What is the units digit of r? 4 Let o(t) = -4*t - 7. Let g be o(-3). Let y(c) = 2*c**3 + 3*c**2 - 8*c - 7. What is the hundreds digit of y(g)? 2 Let o = 485 + -211. What is the tens digit of o? 7 Let q(d) = 2*d**3 + 3*d**2 - 14*d + 14. Let s be q(5). Let b = s + -187. What is the units digit of b? 2 Let w(l) = -4*l - 4. Suppose 0*r + 4*r = 20. Let p be w(r). Let z = p - -43. What is the units digit of z? 9 Suppose 10895 = 9*z - 16951. What is the units digit of z? 4 Let k = 9 - -17. Suppose -3*w + 0*l + 118 = 5*l, -w + 5*l + k = 0. What is the units digit of w? 6 Let q(g) = 50*g**2 - 8*g - 8. What is the hundreds digit of q(-10)? 0 Let l(u) = -4*u - 6*u - 1 - 7*u. Suppose 0 = -3*o + k - 4, 0 = 5*o - 4*k + 6*k + 3. What is the tens digit of l(o)? 1 Let z = -931 + 1595. Let d = z + -448. What is the hundreds digit of d? 2 Suppose -69*t + 70560 = -106149. What is the units digit of t? 1 Suppose 3*q + 2*k = 24, -4*q - 5*k - 24 = -7*q. Suppose 28 = 4*v + q, 5*p - 1090 = -3*v. What is the units digit of p? 5 Let c = 107 + -26. Suppose -7*h + 122 = -c. What is the units digit of h? 9 Let k = 20 + -33. Let n = 22 + k. Let m = n - -26. What is the tens digit of m? 3 Suppose 5*b + 1660 = -565. What is the units digit of 5*(b/(-25) - 4)? 9 Let q be -2 + 3 - 40/(-2). Let y = 22 - q. What is the units digit of -4 + y*13/1? 9 Suppose 5*o + 20 = 30. Suppose -o*r + 311 = -3*m, -2*r + 4*r = -5*m + 303. What is the tens digit of r? 5 Suppose -m + 0*m = -430. What is the tens digit of m? 3 Let g = 523 - 352. Suppose g = -4*l + 1155. What is the tens digit of l? 4 Suppose 0 = -4*s + 5*v + 31, -24 = -3*s + v + 2. What is the units digit of (s/5)/((-2)/(-10))? 9 Suppose -4*k = -6*k - 294. Let i = k - -223. Suppose 142 = -w + 5*w - 3*c, -i = -2*w + 4*c. What is the tens digit of w? 3 Suppose 5*x - 15 = 0, 0*z - 5*z - 2*x + 6 = 0. Suppose -w = -3*f - 2 + 4, -f + 2*w - 6 = z. What is the units digit of f? 2 Let f = 13 + -10. Suppose f = -8*j + 5*j. What is the units digit of (-4)/((-3)/9 + j)? 3 Suppose -1435 - 5729 = -2*m - 3*o, -7148 = -2*m + 5*o. What is the hundreds digit of m? 5 Suppose -9 = 4*s - 13*s. Let a(n) be the first derivative of 17*n**2/2 - n - 1. What is the tens digit of a(s)? 1 Let d(a) = 5*a**3 - a**2 + 2*a - 1. Let n be d(1). Let q(u) = 0*u**2 - 2*u**2 - 3*u**2 + u**3 + 5. What is the units digit of q(n)? 5 What is the tens digit of -11 + (-465)/(-45) + 14248/6? 7 Let r(c) = -7*c**3 + 5*c + 10. Let g be -5*1 - (-9 - -7). What is the tens digit of r(g)? 8 Let b = -388 - -526. What is the hundreds digit of b? 1 Suppose -3*h - h = -3*j - 3003, -h = 4*j - 746. What is the tens digit of h? 5 Suppose 0 = -3*y + 5*s + 19, 4*s = -5*y - s + 5. Let j(n) = 6*n**3 - 5*n**2 + 6. What is the hundreds digit of j(y)? 1 Suppose 3*v + 1601 = -5*q + 8778, v - q - 2395 = 0. What is the tens digit of v? 9 Let s(i) = 6*i**2 - 5*i. Let t(v) = v**3 + 13*v**2 - 11*v. Let n(x) = 9*s(x) - 4*t(x). What is the tens digit of n(-2)? 4 Let n be (-22)/(-10) - (-3)/(-15). Suppose 156 = c - n*d, 2*c - 176 - 116 = -d. What is the tens digit of c? 4 Let h(q) = -q**3 + 20. Let l be h(0). Let s = l + -15. Suppose s*v = 4*v + 1. What is the units digit of v? 1 Suppose 6*v - 1614 = 3174. What is the units digit of v? 8 Let g = 24 + -34. Let c(s) = -s**2 - 10*s - 4. Let u be c(g). What is the tens digit of 301/28 + (-1)/u? 1 Let p = 0 - -2. Suppose -5*w - d = 0, 0 = 4*w + w - p*d. What is the tens digit of w + (11 - (2 - 5))? 1 Let z(k) = -45*k**2 + 32*k**2 + k**3 - 3 + 24*k**2 + 0*k**3 + 11*k. What is the units digit of z(-9)? 0 Let p(q) = -q**2 - 4*q + 3. Let i be p(-4). Let g be 4*3/(9/i). What is the tens digit of 8 - (g - 4 - 3)? 1 Let a be (-2)/13 - 3864/(-104). Suppose 41*l = a*l + 400. What is the tens digit of l? 0 Suppose -4*z = 3*u - 11 + 5, 30 = 3*u - 4*z. Suppose -u*w + 2*w + 420 = 0. What is the tens digit of w? 0 Let t be (6/(-4))/((-63)/(-7140)). What is the units digit of 2/((0 - t/(-86)) + 2)? 6 Let b = 3 - -1. Suppose 110 = -5*s + 5*l, -b*s - 2*l + 4*l = 78. Let j = 5 - s. What is the units digit of j? 2 Suppose -k + 28 = -127. Let n = -85 + k. What is the tens digit of n? 7 Let u = -101 - -177. Let b = -54 + u. Let h = b - 16. What is the units digit of h? 6 Suppose -76 = -4*b - 28. Suppose 6*l - 2*l + b = 0. Let g = 9 + l. What is the units digit of g? 6 Suppose -275*v + 12231 = -266*v. What is the hundreds digit of v? 3 Let t(k) = -662*k**3 + k**2 + 14*k + 12. What is the units digit of t(-1)? 1 Suppose 12 = -3*l + 159. Suppose 4*j - 3*j = l. What is the units digit of j? 9 Suppose 35 = -4*b - 17. Let p be (-2)/b + (-5130)/(-117). Suppose -3*s = -4*n + p, -4*n + 68 = 2*s + 4. What is the units digit of n? 4 Suppose -3*g = 10*g - 1885. What is the units digit of g? 5 Let z be 25/(-5) + 4*2. Suppose -3*i + 103 = -z*d - 350, 3*d - 459 = -3*i. What is the tens digit of i? 5 What is the units digit of (-6 - 105/(-18))*-1695*2? 5 Suppose -15 = 3*j + 3*g, 2*g = 2*j - 2*g + 34. Let l = 4 - 3. Let c = l - j. What is the tens digit of c? 1 Suppose 7*g = 12*g - 8235. What is the units digit of g? 7 Suppose 4*t = -4*c + 3660, -2*t - 4*c - 1027 = -2853. What is the units digit of t? 7 Suppose 8*u - 3034 = 3758. What is the hundreds digit of u? 8 Let g = 3 - -1. Let p(u) = 10*u**2 - 8*u + 9. What is the units digit of p(g)? 7 Suppose -3*z - 5070 = -5*k + 588, -4*k = 4*z - 4552. What is the thousands digit of k? 1 Suppose -4*t + 3*g = -1 - 6, 5*t - 3*g = 11. Suppose t = 5*h + 2*s, -h + 4*s + 9 = -5. What is the tens digit of (-3 + 80/4)*h? 3 Let w(h) = -113*h - 21. What is the thousands digit of w(-18)? 2 Let a(f) = -377*f + 4. What is the hundreds digit of a(-1)? 3 Let w(q) = -2*q**3 - 11*q**2 - 5*q. Let a be 1 + -12 - 3*24/(-18). What is the tens digit of w(a)? 8 Let p(z) be the third derivative of z**5/15 + z**4/24 - z**3/3 - 8*z**2. Let u be p(-2). Let g = u + 10. What is the tens digit of g? 2 Suppose -4*k - 8 = -2*k - 2*s, 8 = 2*k + 2*s. Let p(h) = -2*h + 74. What is the tens digit of p(k)? 7 Suppose -15 = -3*j - 5*y, 0 = -2*j + y + 12 - 2. Suppose -1995 = -j*i - 785. What is the hundreds digit of i? 2 Let s = -40 - -29. Let k be 4/16 - s/4. Suppose 0 = -z + 8*y - 3*y + 26, k*z = -5*y + 158. What is the units digit of z? 6 Let q(g) = 6*g - 2 + 9 - 3*g. Let h(x) = -16*x - 36. Let l(b) = 2*h(b) + 11*q(b). What is the units digit of l(7)? 2 Let m(w) = -2*w**2 - 23*w - 9. Suppose -g - 4*d + 30 = -0*d, 2*g - 20 = 2*d. Let a = g + -23. What is the tens digit of m(a)? 3 Let l be 2 - -8*(-5)/(-15)*-3. Let n(f) = 2*f**2 + 6*f + 12. Let d(w) = -6*w**2 - 19*w - 37. Let u(h) = -3*d(h) - 8*n(h). What is the units digit of u(l)? 3 Suppose 5*w = -25, -k + 4*w + 47 = -8. Suppose -k*v + 32*v = -231. What is the tens digit of v? 7 Let s = 12856 + -9058. What is the units digit of s? 8 Let y = 19 - 22. Let q(d) = -d**3 + 2*d**2. What is the tens digit of q(y)? 4 Let q be 13*(-5)/2*-8. Suppose -14*f + q = -10*f. What is the tens digit of f? 6 Let o = -1 - 1. Suppose -4*v = -2*v + 4. What is the units digit of (v/(-5))/(o/(-170))? 4 Let p(n) = n + 25. Let c(i) = i - 12. Let r be c(2). What is the tens digit of p(r)? 1 Let o be 1/((18/8)/9) - 9. What is the hundreds digit of 10/(-25) + (-2 - 1797/o)? 3 Let k(f) be the third derivative of 7*f**5/60 - f**4/24 + 4*f**2. Let z be k(1). Suppose h + 1 = z, 2*h - 42 = -4*n. What is the units digit of n? 8 Let y(b) = -6*b**2 + 5*b - 3. Let d(s) = -25*s**2 + 21*s - 12. Let q(j) = 2*d(j) - 9*y(j). Suppose -17*z + 33 + 18 = 0. What is the tens digit of q(z)? 3 Let o(g) be the second derivative of 0 + 5*g - 1/12*g**4 - 4*g**2 + 2*g**3. What is the tens digit of o(8)? 2 Suppose -11054 = -12*f + 11566. What is the units digit of f? 5 Suppose 0 = -19*b + 3907 + 2344. What is the tens digit of b? 2 Let n(j) = -j**3 + 3*j**2 + 3*j - 4. Let s be n(4). Let d(v) = 2*v + 5. Let f be d(s). What is the units digit of (-2)/f - 155/(-55)? 3 Let i(b) = -b**3 + 16*b**2 + 8*b - 64. What is the units digit of i(16)? 4 Suppose 5250 = 2*t - 4456. What is the units digit of t? 3 Let z = -208 - -62. Let v = -97 - z. What is
{ "pile_set_name": "DM Mathematics" }
2 + s - 2. Let o be z(10). Suppose 4*i = o*i - 40. What is the smallest common multiple of 2 and i? 10 Let h be -3*1 - (-3411)/1179. Let t = 4603/2620 + h. What is the common denominator of t and -23/22? 220 Let l = -139/5 - 57/10. Find the common denominator of -29/46 and l. 46 Let w(y) = 21*y**2 + y + 1. Let g be w(-1). Suppose -v + 4*v = g. What is the least common multiple of 15 and v? 105 Let i = -157/440 - -2/11. What is the common denominator of -57/20 and i? 40 Suppose -25 = -4*r + 3*r - d, -4*r + 105 = 5*d. Find the common denominator of -37/7 and (-906)/r - (-3)/(-15). 14 Let x = -119607233/20 + 5988488. Let m = 8129 - x. What is the common denominator of m and -89/2? 20 Let j = -69883/7044 - -5/1174. Calculate the common denominator of j and 121/24. 24 Suppose p + 146 = 4*x, -5*x - 2*p = -0*x - 176. Find the common denominator of -23/10 and (2 - x/16) + 11. 20 Suppose 4*t - 12 = 4*v - 0, -3*t + v = -11. Calculate the least common multiple of t and 6. 12 Suppose -5*u = -3*a - 28, 4*u - 54 = -3*a - 10. Calculate the smallest common multiple of u and 22. 88 Suppose -2*q + 493 + 6805 = 0. Let h = q + -50975/14. Find the common denominator of h and -21/16. 112 What is the common denominator of 7/24 and 356/(-56) - 5 - -3? 168 Suppose -5*j - 19 = -164. Suppose -3*c + j = -5*l - 4, -5*l = 2*c - 22. Calculate the smallest common multiple of 4 and c. 44 Let c = 9 + -9. Suppose -2*r - 13 + 3 = 0, -4*k - 4*r - 196 = c. What is the common denominator of -14/3 and k? 3 Let q = 1422 - 9930/7. Suppose -4*z + 5 = k, 2*k = -2*k - 2*z + 6. Find the common denominator of (711/18)/(k + -2) and q. 14 Let o = -2971 - -6069/2. Let x = o - 62. Find the common denominator of 83/6 and x. 6 Let l be -2*((-5)/2)/1. Let z(m) = m**3 - 4*m**2 - 4*m + 3. Let c be z(l). Calculate the common denominator of -95/8 and 90/c - 6/(-12). 8 Find the common denominator of 38/11 and ((-110)/120)/(2/(-52)). 66 Let t(m) = -m**3 + 3*m**2 - 6*m - 7. Let b be t(7). Let n be (79/5)/(2/(-35)). Let u = b - n. What is the common denominator of u and 43/11? 22 Let s = 2/77 - -689/154. Find the common denominator of s and (-71)/20 + 1/4. 10 Let x(d) = 1 - 2*d - 2 + 0*d. What is the smallest common multiple of x(-3) and 6? 30 Suppose 53 = 4*r - 19. What is the least common multiple of r and 14? 126 Let r = 1 + 4. Suppose -r*g + 32 = -g. Calculate the least common multiple of g and 5. 40 Suppose 0 = -5*f - 2*b + 30896, -5*f + 6*f - 6186 = 3*b. Let d be 371182/60 - (-10)/30. Let u = f - d. What is the common denominator of 29/12 and u? 60 Let s = -68631/20 + 3434. Let k = 96623/12 - 8043. Calculate the common denominator of k and s. 60 Let j(z) = 2*z - 4. Let v be j(4). Let b(n) = 3*n + 4. Calculate the least common multiple of 20 and b(v). 80 Let f be ((-1262813)/(-504))/(5/(-25)). Let u = 112886/9 + f. Let h = -146/7 + u. Calculate the common denominator of h and 61/6. 24 What is the common denominator of 502/120 - (-4)/10 and -9/14? 84 Let j = -47 - -55. What is the least common multiple of 7 and j? 56 Let t be (-1)/((-4)/6 + 1). Calculate the least common multiple of 182/9 - (-2)/(-9) and (0 - 48/9)*t. 80 Suppose 3*t - 15 = 3*g, 2*t = -t + 4*g + 14. Calculate the smallest common multiple of t and 5. 30 Let u(r) = -2*r - 6. Let b be (4 + -8)*1*2. Calculate the least common multiple of u(b) and 9. 90 Calculate the lowest common multiple of (-4 + 112/12)*3 and 4. 16 Suppose -4*z - 3031 = h, 2*z - 2*h = -2*z - 3022. Let j = -8304/11 - z. Calculate the common denominator of 24 and j. 11 What is the lowest common multiple of -4 + (8*7 - 2) and 4? 100 Suppose 5 = -5*s + 25. Calculate the least common multiple of s and 1. 4 Let z = -1926 - -7665/4. Find the common denominator of z and 47/20. 20 Suppose -3 = -2*o + 1. Calculate the smallest common multiple of o and 1. 2 Suppose -6*c + 42459 = -3*c. Let u = -311301/22 + c. Let o = 8733/16 - 546. What is the common denominator of o and u? 176 Let a be (-2)/(-1) - 51276/25641. Let v = a + -179527/170940. Calculate the common denominator of v and -11/6. 60 Calculate the common denominator of -79/18 and 305/60 + 2/(-12). 36 Calculate the lowest common multiple of (-118)/(-4) - 2/(-4) and 12. 60 Let x(r) = -r + 9. Let a be x(7). Suppose -c + 2*c - a = b, -4*c + b = -2. Suppose c*y + 4*y - 36 = 0. Calculate the smallest common multiple of y and 8. 72 Let v(c) = -2*c - 9. Calculate the smallest common multiple of 6 and v(-12). 30 Suppose 29*s = 659 - 137. Suppose 0 = n - 5*n + 2*q + 8, 5*n - 36 = -4*q. Calculate the least common multiple of n and s. 36 Let u = 1/2461 - 41855/44298. Find the common denominator of 237/(-6) - (-42)/(-14) and u. 18 Let k = -8 - -1. Let h(f) = -2*f - 9. Calculate the lowest common multiple of h(k) and 7. 35 Suppose -5*j - 22 - 8 = 0. Let b be (-292)/j*(-216)/39. Let o = -27005/104 - b. Find the common denominator of 67/18 and o. 72 Let q = 24773/174534 - -11/1531. Find the common denominator of q and -75/4. 228 Let z = 91987/7828 + -2/1957. Let g = -376/5 + 354/5. What is the common denominator of g and z? 20 Suppose -2*p = -5*i + 37, 2*i - 3*p + 0*p = 17. What is the least common multiple of i and 4? 28 Let m = -8 + 12. Let y = -21 - -35. What is the lowest common multiple of -4*(0 - 6/m) and y? 42 Let c = 1/1433 - -60181/7165. Suppose m - 2*g = -0*g + 4365, m - 4356 = 5*g. Let l = -48044/11 + m. What is the common denominator of l and c? 55 Let x(u) = 3*u**2 + 2*u - 1. Let r be x(1). What is the smallest common multiple of 15/10 - (-22)/r and 2 - (2 + -1 + -6)? 7 Suppose -5*m = -3*m - 2. Calculate the common denominator of 183/(-6)*(0 + m) and -113/6. 6 Let v = 1355841/308 + -30886/7. Let z = -255/44 - v. Find the common denominator of 1/10 and z. 110 Let c = 821 + -11499/14. Suppose -624 = -2*m - 4012. Let s = m - -13607/8. What is the common denominator of s and c? 56 Let t(f) = 6*f - 2. Suppose 3*g = -2*g + 15. Let a be t(g). Suppose -1 + a = 3*c. What is the smallest common multiple of c and 2? 10 Suppose -4*g - 4628 = 4*x, 727 = -g + 2*x - 433. Let d = 16273/14 + g. Find the common denominator of -39/8 and d. 56 Suppose 19 - 7 = 4*p. What is the common denominator of ((-110)/36 - 3) + p and -97/16? 144 Find the common denominator of -39/4 and -4 + (1100/(-168))/(-11). 84 Let z be (-1)/((-3 + 0)/12). Let o be (10 - -2)/((-13)/z). Let w = o - -321/182. What is the common denominator of 79/12 and w? 84 Let h = 14481328218209747/6947399520 + 18463422/4824583. Let b = h + -2084428. Let z = -1/288 + b. Find the common denominator of z and 31/7. 70 What is the common denominator of -59/3 and 2/10*2*(-9295)/(-624)? 24 Calculate the smallest common multiple of 18 and (-4 - -3)*-5 + 3. 72 Suppose 4*l - 26 = -6. Suppose -4*k = g - 2 - 12, 0 = -4*g - l*k + 23. What is the common denominator of 530/198 - g/9 and -67/6? 66 Suppose 3*p = 3*k + 30, -5*p + 9 + 26 = -2*k. Suppose -p*z + 35 = -5*u, -2*u - 4 = 3*z - 0*u. Calculate the lowest common multiple of z and 8. 8 Find the common denominator of -3/19 and (18/(-27))/(12/(-189)). 38 Suppose 0 = 3*z + w - 282 - 10, -5*z + 4*w = -464. Suppose 0 = -5*f + h + 18, f - 15 = 2*h + 2*h. What is the common denominator of 340/z - 2/f and 107/20? 40 Let s = -2650733/15995 + 19/2285. Let z = 167 + s. What is the common denominator of z and 55/2? 14 Let g = 4057/330 - -7/66. Find the common denominator of g and 61/3. 15 Let m = -1224724/315 - -9186/35. Suppose 2*y + y = -10902. Let b = m - y. What is the common denominator of b and -33? 9 Let q(v) = -v - 1. Let j be (-3 - -2) + 26/2. What is the lowest common multiple of 4/j*(-48)/(-2) and q(-2)? 8 Suppose k - 6 = -k. What is the lowest common multiple of 11 and k? 33 Let n = 6337/36 + -699/4. Find the common denominator of n and -83/6. 18 Let s(o) = -2*o + 9. What is the lowest common multiple of s(0) and 9? 9 Suppose 4*y = l + 3, 2*l + 3*y + y = -30. Let o = l - -13. Calculate the least common multiple of 6 and o. 6 Let n(p) = p**3 + 6*p**2 + 2*p - 4. Calculate the lowest common multiple of 16 and n(-4). 80 What is the lowest common multiple of (-21)/(-5) - (-56)/70 and 7? 35 Let b = 12 - 4. Calculate the smallest common multiple of (-27)/(-4)*b/3 and 16. 144 Let b = -5928 - -59161/10. Calculate the common denominator of b and 13/10. 10
{ "pile_set_name": "DM Mathematics" }
2 in 3/7, 0.5, d? 3/7 Let q = -64805/14016 - -255/64. Let r = -1015 + 74097/73. Let z = q - r. What is the closest to 0 in z, 0.5, -2? 0.5 Let f = 523 + -2617/5. What is the closest to 2/9 in f, 5, -0.5? f Let f = 16.8 + -12.8. Let h be (3 - 2)/((-3)/9). Which is the nearest to -2/7? (a) h (b) -0.4 (c) f b Let o = 0.2543 - -1.7457. Which is the closest to -1? (a) 0.9 (b) 2/13 (c) o b Let d = 39.325 + -0.125. Let x = d - 39. What is the closest to x in 0.1, -2, 2/9? 2/9 Let x = 87465437/369 + -237034. Let p = -3/41 - x. Which is the closest to -2/3? (a) p (b) 0.3 (c) 1/6 c Let n(d) = -d + 5. Let s be n(5). Let f = 251 - 251. Suppose 5*u - 2 = -2*l + 6, -7 = -u + 5*l. What is the closest to s in -0.2, u, f? f Let j = 474 - 474.1. What is the nearest to j in 2/9, 1, 1/8? 1/8 Let i = 10.5 - 11. Let b = i + 1.6. Let s = 1.1 - b. What is the closest to 1 in s, -2, 1/3? 1/3 Let d = 104 + -102. Let h = -0.03 + -0.97. Let t(n) = n**3 - 8*n**2 + 6*n + 7. Let l be t(7). Which is the nearest to h? (a) 1 (b) d (c) l c Let f be 258/(-1505) - (4/(-7) - -1). What is the closest to 2 in f, 0, 2/5, -2/5? 2/5 Let r = -437 + 436.5. What is the nearest to -1/2 in -0.1, r, 1/3? r Let l = 256 - 257. What is the nearest to l in -9, -5, 2/9? 2/9 Let n = 0.1067 - -4.8933. What is the closest to -0.1 in 0.9, -3/2, -7/10, n? -7/10 Let j = -4 - -4.4. Let s = -16.1 - -18.1. What is the closest to 1/4 in s, j, 4? j Let q = 89 + -90. Let n = -14/27 + -38/135. Which is the closest to -4/5? (a) 2/7 (b) q (c) n c Let q = -0.318 - -2.318. What is the closest to 0.3 in -14, -5, q, 1? 1 Let j = -0.3023 + -0.0977. Which is the nearest to 1? (a) j (b) 1/3 (c) 2/7 (d) 2/11 b Let f = 140 + -140.5. What is the closest to 2/5 in -1, -0.1, f, 0.2? 0.2 Let b = 13/12 - 3/4. Let p(a) = -a**2 + 9*a - 13. Let z be p(7). What is the nearest to b in 0.1, 3/4, z? 0.1 Let l = 0.8 - 0.3. Let x be (-220)/176 - 125/(-20). Which is the closest to -1? (a) x (b) 2 (c) l c Let t = -0.0163 - -4.0163. Which is the closest to -1/2? (a) 4/7 (b) t (c) -0.049 c Suppose -23 = 18*z + 31. Let v = 0.16 - 0.06. Which is the closest to 1/3? (a) v (b) z (c) -2 a Let x(q) = -2*q**2 - 12*q + 13. Let b be x(1). What is the nearest to b in -3, 17, 5/2, 0.2? 0.2 Let i = -0.114 + 0.069. Let g = i - -3.045. Which is the closest to 0? (a) 0.3 (b) -2 (c) g a Let b = -698 - -699. What is the closest to -1 in -0.2, b, -1/3, -0.029? -1/3 Let n = -4.55 + 0.55. Let c = 37 + -335/9. What is the closest to -1 in 0.4, n, c? c Let h = 31.2 - 31.1. Which is the nearest to h? (a) 4 (b) 3 (c) -0.09 c Let z = -0.15 - -0.25. Let u = 1.6 - 0. Let k = -2.6 + u. Which is the closest to z? (a) -0.03 (b) -4 (c) k a Suppose 10 = 55*c + 10. What is the nearest to -2/3 in c, 0.9, -5? c Let s = -34/3 + 145/12. What is the nearest to 2 in -3, s, 1/6? s Let d = 0.6 - 1. Let y = -0.1 - -0.3. Let i = 433 - 432. Which is the nearest to y? (a) -0.3 (b) d (c) i a Suppose 15 = 18*r - 17*r. Suppose r = 4*h - 9*h. Let z be ((-12)/(-10))/(3/(-30)). Which is the closest to z? (a) 0.1 (b) h (c) 3 b Let q = -4 - -2. Let p = -26.2 - -26. Which is the closest to p? (a) -4/5 (b) q (c) -0.1 c Let o = 14 - -3. Let h = -16.66 + o. Let j = h + 0.06. What is the closest to -2/7 in -2/17, j, 2/11? -2/17 Let u = 111.8 + -112. Let f = -29 - -27. Let n = 0.8 + -3.8. What is the nearest to u in -1, f, n? -1 Let l = -1.3 - -1.34. Which is the closest to 1? (a) l (b) -3/2 (c) -3 (d) 4 a Let y = -0.03 - -0.43. Let n = 0.034 - 2.334. What is the nearest to n in 1, y, 0? 0 Let m = 2/3679 - 7380/40469. Which is the closest to m? (a) -0.3 (b) 0.3 (c) 2/11 (d) -2/11 d Let v = -0.132 + 0.095. Let g = -0.663 + v. Which is the nearest to -1? (a) -3 (b) g (c) -1 c Let q = -0.0065 + 0.4065. Suppose 5*g - k = 8, -g = -5*g - 2*k + 12. What is the nearest to 1/2 in -1/2, q, g? q Let s = 0.1151 + -0.5151. What is the closest to 1 in -4, -2, 19, s? s Suppose 3*i + 2 = -3*f + 2*i, 3*f = -4*i - 17. What is the closest to 1/2 in 0.4, -9/5, f? 0.4 Let t = 5.4 - 5. Let y(i) = i + 1. Let o(s) = -s**2 + 1. Let p be o(2). Let x be y(p). What is the nearest to 0.3 in -1/6, x, t? t Let c be 2/11 + (56 - 56). What is the nearest to 1/4 in 5, c, 0.2, -0.3? 0.2 Let l = 670 - 668. What is the closest to -72 in 2/9, 3, l? 2/9 Let d = 9 - 5. Let t = -0.18 + 0.18. What is the closest to -1 in d, t, -1/10? -1/10 Let t = -758 + 758. Let x = -4 - -4.4. Which is the closest to x? (a) -5 (b) t (c) 5 b Let h = -0.06 + -0.22. Let z = 0.3 + h. Let o = -264 + 259. What is the nearest to 0 in -4, z, o? z Let u = -699 + 52423/75. Let c = 13/75 - u. Let g be (3/1)/(-30)*-4. What is the nearest to g in c, -1, 2/7? 2/7 Let p = -33 + 31.7. Let u = -1.4 - p. What is the closest to -5/3 in 2, u, 3/2? u Let n be (31/4)/(2379/(-208)). Let c = -2/183 - n. Let j = 0.09 - -0.91. What is the closest to 0.1 in c, 5, j? c Let h(p) = 7*p**3 - 1. Let d be h(-1). Let v = 11 + d. Let u(y) = y**3 - 2*y**2 - 3*y. Let w be u(v). Which is the nearest to -0.5? (a) 0.4 (b) 2/3 (c) w c Let k be 35/(-30) - (-6 - 176/(-33)). Let r be ((-3)/9)/(1/4). What is the closest to k in -1, -7, r? -1 Let s = 431 + -433. What is the closest to 3/11 in 2/5, -0.2, s? 2/5 Let x be ((-19)/342)/((-1)/4). Let z = 0.06 - 5.06. Which is the nearest to -0.2? (a) z (b) x (c) 0.2 c Let u(f) = -6*f**2 - 60*f - 2. Let k be u(-10). Which is the closest to -42? (a) -0.4 (b) 1/3 (c) -1/6 (d) k d Let p = 2.219 + -2.119. Suppose 0 = 3*u - x - 5, -5 = 3*u - u + x. Which is the closest to u? (a) -3/2 (b) 8 (c) p c Let a = -9/31 + -35/93. What is the nearest to a in 7, -1, 2/3? -1 Let i = -26.2 - -26.3. Which is the closest to 0? (a) 1/3 (b) 0 (c) i b Let g = 0.5 - 0.5. Let j = 9.5 - 10. Let x = j - g. Which is the closest to 0? (a) x (b) 2/5 (c) 2 b Let w = -25.18 - -26. Let p = w - -0.18. What is the closest to -12 in -4/7, -0.5, p? -4/7 Let n = -2/79 - -168/395. Which is the closest to 3? (a) -5 (b) 0 (c) n (d) 2/13 c Let h(x) = -4*x + 17*x**2 + 19*x**2 - 35*x**2 - 8. Let j be h(6). Suppose 2 = 6*n - 5*n. Which is the nearest to -2/3? (a) n (b) 5 (c) j a Let n = 4 - 3. Let h be (-20)/(2 + (-1 - 2)). Let i be ((-2)/h)/(4/8). Which is the closest to n? (a) -4 (b) 1/3 (c) i b Let z = 10239 + -10239.5. Let n = 11 - 8. What is the closest to 0.05 in z, 0.5, n? 0.5 Let o = -529 + 526. Which is the nearest to -0.12? (a) 4 (b) -2 (c) o (d) -3/10 d Let h be 20/(-45)*(-6)/20. Let a = 193 - 385/2. What is the nearest to -0.2 in -2/7, a, h? -2/7 Let f = 12 - 11. Suppose s + 10 = 3*u, -2*s - f = 1. Let r = 20.7 + -21. Which is the closest to u? (a) 2/5 (b) r (c) 2/7 a Let n = 13/72 + 1/24. Which is the nearest to -1? (a) 0.5 (b) n (c) 1 b Let i be 1/((140/(-8))/(-5)). What is the closest to i in 12, -1, 5? -1 Let k be 0/(-2)*(-5)/(-75)*5. Suppose k = -a - 6 + 2. What is the closest to 1.1 in 2, a, 1? 1 Let k = -8.4 + 13.4. Let o(i) = i - 1. Let t(s) = 8*s - 4. Let r(p) = -6*o(p) + t(p). Let b be r(-2). What is the nearest to 3 in k, 2/9, b? k Let t = 335 + -332. Let s = 0.3 + -0.2. Which is the nearest to s? (a) 0.4 (b) -2 (c) t a Let s = -6 - -6. Let d = 715/1068 - 1/356. Which is the closest to s? (a) -2 (b) d (c) -5 b Let w = 47/5 - 9. Let z = -2/113 + 240/791. Let h be ((-6148)/24)/53 - 1/6. What is the nearest to -1 in w, z, h? z Let i = 0 + 4. Suppose i*d + 385 = g, -4*d + 3*g - 236 - 151 = 0. Let h be d/(-50) - 1 - 1. What is the closest to 2/3 in h, 1, 0.3? 1 Let n = -0.2 - -76.2. Let k = 75.8 - n. Which is the nearest to -0.1? (a) k (b) 4 (c) 0.2 a Let x = 4.4 + -1.4. Let i = x + -2.7. What is the nearest to -2/9 in -3, i, -2/17? -2/17 Let x = 34.45 - 34.5. What is the nearest to 3 in x, -2/13, -2/7? x Let a = 678 - 673. What is the nearest to -2/9 in -0.2, 2, a, -1? -0.2 Let y(p) = -p**3 + 10*p**2 - 12*p + 22. Let v be y(9). What is the nearest to -16 in -0.5, 2, v? v Let d = 105 - 105. What is the nearest to -1 in -4, -5/23, d, -1? -1 Let t(z) = -z**2 - 13*z + 10. Let c be t(-14). Let k = 5 + -7. What is the nearest to -0.1 in k, -1, c? -1 Let u = -188/5 + 38. Let s = -28.3 - -28. Which is the nearest to s? (a) u (b) -1/2 (c) 2 b Let l = -850/3663 + 4/407. Let a
{ "pile_set_name": "DM Mathematics" }
acement from {j: 5, g: 3, z: 1, a: 1, w: 5}. Give prob of picking 1 a and 3 j. 2/273 Two letters picked without replacement from cccttcuccuttt. What is prob of picking 1 c and 1 u? 2/13 Three letters picked without replacement from eufessmsfeffff. Give prob of picking 1 m and 2 e. 3/364 What is prob of picking 3 i when three letters picked without replacement from {i: 3, e: 4}? 1/35 Two letters picked without replacement from pdpdjpjjpjjddqj. Give prob of picking 2 d. 2/35 Three letters picked without replacement from {f: 15, r: 3}. What is prob of picking 2 f and 1 r? 105/272 Two letters picked without replacement from lzsssalbaal. Give prob of picking 1 z and 1 b. 1/55 Four letters picked without replacement from {u: 4, b: 2, m: 4}. Give prob of picking 1 m, 1 b, and 2 u. 8/35 Calculate prob of picking 2 j when two letters picked without replacement from jjjjjj. 1 Four letters picked without replacement from ososso. What is prob of picking 2 o and 2 s? 3/5 Two letters picked without replacement from qqqppqsspq. What is prob of picking 2 q? 2/9 Two letters picked without replacement from {m: 1, o: 4, h: 3, f: 2, b: 4, u: 1}. Give prob of picking 1 h and 1 o. 4/35 Calculate prob of picking 2 a when two letters picked without replacement from akqakqkkaa. 2/15 Four letters picked without replacement from wwwwwwwnwwwwwnwwwwnw. Give prob of picking 3 w and 1 n. 8/19 What is prob of picking 1 a and 2 h when three letters picked without replacement from haahaaaaah? 7/40 Calculate prob of picking 2 g and 2 m when four letters picked without replacement from {j: 1, m: 3, g: 2, b: 1}. 3/35 Two letters picked without replacement from {b: 1, p: 3, o: 2, v: 1}. Give prob of picking 1 v and 1 p. 1/7 What is prob of picking 2 t and 1 h when three letters picked without replacement from tthhhhhhhhhthhhhht? 7/68 Three letters picked without replacement from {m: 12, k: 2, b: 5}. What is prob of picking 3 b? 10/969 What is prob of picking 1 i and 1 w when two letters picked without replacement from waiwiwiwwxaixxxwa? 3/17 Four letters picked without replacement from {s: 1, m: 6, w: 2, q: 5, z: 2}. Give prob of picking 2 z, 1 w, and 1 s. 1/910 Three letters picked without replacement from omzbqqqbqbqro. What is prob of picking 1 r and 2 q? 5/143 Calculate prob of picking 1 n, 1 b, and 2 w when four letters picked without replacement from mamabwywmwwawnyym. 1/238 Calculate prob of picking 1 r and 1 k when two letters picked without replacement from ckrr. 1/3 Three letters picked without replacement from {h: 5, c: 8, f: 2, w: 2}. Give prob of picking 1 w and 2 h. 1/34 What is prob of picking 1 s and 2 a when three letters picked without replacement from saaasaaa? 15/28 Two letters picked without replacement from {u: 1, r: 6, x: 8}. What is prob of picking 1 u and 1 r? 2/35 Calculate prob of picking 4 q when four letters picked without replacement from iqqqqqiqqqqiqiqiqq. 143/612 Three letters picked without replacement from {r: 3, u: 10, b: 2}. What is prob of picking 3 r? 1/455 What is prob of picking 4 f when four letters picked without replacement from fxegwxg? 0 Calculate prob of picking 1 h and 2 o when three letters picked without replacement from {c: 3, o: 4, g: 2, h: 1}. 1/20 What is prob of picking 1 q and 1 b when two letters picked without replacement from {t: 3, s: 3, b: 1, q: 3, n: 1, x: 2}? 1/26 Three letters picked without replacement from jdzzaaajsj. Give prob of picking 1 d and 2 z. 1/120 Calculate prob of picking 2 j, 1 t, and 1 u when four letters picked without replacement from utjjzmztzot. 1/110 What is prob of picking 1 p and 1 n when two letters picked without replacement from {n: 5, p: 7, u: 7}? 35/171 Four letters picked without replacement from ooozroxzzooozxoooox. Give prob of picking 1 o, 2 z, and 1 x. 33/646 Three letters picked without replacement from {q: 4, n: 2, l: 1}. Give prob of picking 2 l and 1 n. 0 Calculate prob of picking 3 m when three letters picked without replacement from {m: 17, p: 1}. 5/6 Calculate prob of picking 2 f and 1 b when three letters picked without replacement from {b: 1, f: 2, z: 2}. 1/10 Three letters picked without replacement from {h: 8, y: 3}. Give prob of picking 1 h and 2 y. 8/55 Calculate prob of picking 2 m and 1 r when three letters picked without replacement from {j: 1, m: 3, r: 2, q: 1}. 6/35 Calculate prob of picking 2 c when two letters picked without replacement from icyfppcy. 1/28 Four letters picked without replacement from fbbffbffffbfbbfb. What is prob of picking 3 b and 1 f? 9/52 What is prob of picking 1 w, 1 t, and 1 u when three letters picked without replacement from wtttwtttwttfttzwut? 11/204 What is prob of picking 1 w, 2 u, and 1 t when four letters picked without replacement from {u: 12, t: 1, w: 6}? 33/323 Three letters picked without replacement from {w: 3, j: 7, p: 3}. What is prob of picking 3 w? 1/286 Two letters picked without replacement from {b: 1, s: 2, q: 1}. Give prob of picking 1 q and 1 b. 1/6 Four letters picked without replacement from {x: 5}. What is prob of picking 4 x? 1 Calculate prob of picking 4 z when four letters picked without replacement from {z: 4, c: 15}. 1/3876 Calculate prob of picking 1 c, 2 a, and 1 m when four letters picked without replacement from {c: 1, a: 13, m: 3}. 117/1190 Calculate prob of picking 1 u and 1 g when two letters picked without replacement from lsslglllbglgglusll. 4/153 What is prob of picking 1 n and 1 y when two letters picked without replacement from {y: 8, n: 2}? 16/45 Three letters picked without replacement from ffzzffzffzfzzfzzj. Give prob of picking 2 z and 1 f. 28/85 Two letters picked without replacement from zddwttxvw. Give prob of picking 2 d. 1/36 What is prob of picking 2 m and 2 y when four letters picked without replacement from {y: 9, m: 9}? 36/85 Three letters picked without replacement from huhfythyyyttyyhf. Give prob of picking 1 t, 1 u, and 1 h. 3/140 Four letters picked without replacement from {u: 6, t: 6}. Give prob of picking 2 t and 2 u. 5/11 Calculate prob of picking 1 g and 1 r when two letters picked without replacement from rvhrveghrkggkg. 12/91 Three letters picked without replacement from jgjjpjtjgppgt. What is prob of picking 1 t, 1 p, and 1 g? 9/143 Two letters picked without replacement from kkkttkkkktkkkkk. What is prob of picking 2 t? 1/35 Two letters picked without replacement from {d: 10}. Give prob of picking 2 d. 1 Calculate prob of picking 2 c and 1 m when three letters picked without replacement from fcrcdccfmddcrc. 15/364 What is prob of picking 1 x and 2 k when three letters picked without replacement from bbbbbzobzkxlkzbb? 1/560 Four letters picked without replacement from zzhzzzhhzzzzzhzhzz. What is prob of picking 1 h and 3 z? 143/306 Three letters picked without replacement from {z: 4, p: 1, j: 3, r: 6, e: 1}. Give prob of picking 1 j, 1 r, and 1 p. 18/455 Two letters picked without replacement from {b: 1, f: 2, r: 1}. Give prob of picking 1 f and 1 r. 1/3 Three letters picked without replacement from {b: 16, t: 2}. What is prob of picking 3 b? 35/51 Three letters picked without replacement from xdxxxdduxdxxxxdxxxux. Give prob of picking 3 d. 1/114 Two letters picked without replacement from taaatwww. What is prob of picking 1 w and 1 t? 3/14 Calculate prob of picking 2 d and 1 g when three letters picked without replacement from bggggdlbdlb. 4/165 Calculate prob of picking 3 t when three letters picked without replacement from {x: 2, t: 17}. 40/57 Calculate prob of picking 1 k and 1 a when two letters picked without replacement from ykkpyypakpyyyyypkya. 8/171 What is prob of picking 2 c when two letters picked without replacement from {i: 1, w: 4, c: 4, o: 4, q: 5, m: 2}? 3/95 Calculate prob of picking 2 s when two letters picked without replacement from qxuusksxuxku. 1/66 What is prob of picking 1 u and 1 i when two letters picked without replacement from {x: 4, i: 2, u: 5}? 2/11 Calculate prob of picking 4 h when four letters picked without replacement from {k: 1, t: 2, h: 7, p: 8}. 7/612 Calculate prob of picking 1 d and 1 n when two letters picked without replacement from gdzzdnfzdcn. 6/55 What is prob of picking 2 z and 1 g when three letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
*o - o, -5*o + c*b = -62. Is 13 a factor of o? True Is 5 a factor of 5828/(-186)*(-2)/(-4)*-3? False Suppose -5*n = 2*h - 21, n + 6 = 3*n. Suppose y - 2*x = -13, 5*y + h*x = -0*x - 117. Let j = 7 - y. Does 7 divide j? True Let u be (-2)/8 - 126/8. Let r = u - -20. Suppose -i + o + 188 = 3*i, -4*i + r*o = -200. Is i a multiple of 23? True Let c = 27 - 16. Suppose 4*o - 4*b + 40 = 0, 2*o + c = 2*b + 3*b. Let q = 25 + o. Is 2 a factor of q? True Let m = 232 + -118. Is m a multiple of 2? True Let j(c) = c + 8. Let a be j(9). Suppose a*w - 8 = 15*w. Suppose -w*h + d + 347 = -2*d, 2*d = 4*h - 346. Is h a multiple of 24? False Let a(u) = -u**2 - 5*u - 3. Let y be a(-3). Suppose 3*r + 13 = -x, -y*x - r + 3 - 2 = 0. Let c(j) = 4*j**2 + 2*j. Does 10 divide c(x)? True Let r = 2083 + -1447. Is r a multiple of 83? False Let l(o) = -o**3 + 7*o**2 + 2*o - 9. Let f be l(7). Suppose 3*d + 2 = -f*q + 7, 3*d = 4*q - 4. Suppose v - 3 = d, -4*v = 5*h - 5 - 22. Is 3 a factor of h? True Suppose -d = 3*z - 4*d - 108, z - 36 = 2*d. Does 9 divide z? True Suppose -4*w + 10 = -2*w. Suppose 3*q = 2*n - 283, -w*q + 279 = 2*n + 4. Is n a multiple of 28? True Is 2 a factor of (4/(-8))/((-1)/26)? False Let z = 39 + 235. Is z a multiple of 13? False Let s(z) = 50*z + 5. Let t be s(-11). Let a = 849 + t. Suppose -32 = 4*b - a. Does 17 divide b? True Is 8*(-55)/(-40)*47 a multiple of 80? False Let r = 316 - 263. Is 3 a factor of r? False Let p = 586 - 512. Does 2 divide p? True Suppose 5*z - 26 + 11 = -4*a, -4*z + 12 = 5*a. Suppose -168 = -4*i - a*i. Does 14 divide i? True Suppose 0 = -6*s + 2*s. Suppose s*l - 2*v - 12 = -2*l, -6 = -3*l - 3*v. Suppose l*q - 21 = -1. Is q a multiple of 5? True Let z(g) = g**2 + g - 18. Let b be ((-2)/9*3)/(4/78). Does 15 divide z(b)? False Let s = 30 - 39. Let k(b) = 7*b**2 + 12*b - 10. Let r(c) = -8*c**2 - 13*c + 10. Let q(p) = 7*k(p) + 6*r(p). Does 7 divide q(s)? False Suppose 0 = t - 4, 0*t + 16 = 5*d - t. Suppose -5*l + 288 = d*l. Does 4 divide l? True Let s(k) = k**3 - 4*k**2 - 3*k + 2. Suppose 8 = 2*g - 4. Does 14 divide s(g)? True Let k(y) = 2*y**2 + 36. Let f = 69 + -69. Is 12 a factor of k(f)? True Let a(g) be the second derivative of 4*g**4/3 - g**3/3 + g**2 - 4*g. Let p be a(2). Does 4 divide (-10)/25 + p/5? True Does 4 divide (-15 - -14) + 8*118/4? False Suppose -2*c - 4*f = -2*f - 56, 0 = 2*f - 4. Suppose 2*x = u + 6*x - c, 2*x + 50 = 3*u. Suppose 5*h - 3*h = u. Is h a multiple of 3? True Is (2 - (14 + -2))*-2 a multiple of 20? True Let q = -571 + 839. Is 3 a factor of q? False Let g(o) be the second derivative of o**3/6 + 21*o**2/2 - 2*o. Let l be g(-17). Suppose -j - l = -14. Is 5 a factor of j? True Suppose 143 + 79 = 6*u. Does 34 divide u? False Suppose 2*g + 3*n = 121, -5*g + 305 = -0*g + 5*n. Let h = g - -22. Does 12 divide h? True Suppose -2*h = -5*k + 3071, 0 = 5*k + 3*h - 3650 + 569. Suppose -18*b + k = -13*b. Does 5 divide b? False Let g be 202 + (-10)/2 + 3. Suppose -3*t + v = -140, 6*t + 5*v - g = t. Is t a multiple of 13? False Suppose 2*p - 4*w = 12, 3*p - p - 2*w - 10 = 0. Suppose 63 = -h + p*h. Is h a multiple of 5? False Let z(u) = u**3 + 3*u**2 - 9*u - 27. Is z(8) a multiple of 11? True Suppose 12*a = 2343 + 4485. Is 13 a factor of a? False Let c = -1 + 7. Suppose -20 = 4*k - c*k. Is k a multiple of 5? True Let t(z) be the first derivative of -3/2*z**2 + 3*z - 9. Is t(-1) a multiple of 6? True Let z be -4 + (-2 - -2)*1/2. Is (130 + 3)*(-2 + -1 - z) a multiple of 27? False Let a be (-2 + (-36)/(-15))*-55. Let r = a + 31. Suppose 0 = -j + 4 + r. Is 11 a factor of j? False Suppose 78 + 72 = w. Let q = w - 65. Is q a multiple of 13? False Let n(x) = -15*x - 58. Suppose 0 = -18*l - 65 - 205. Is n(l) a multiple of 23? False Let h(c) = 2*c**2 + 16*c + 6. Let k be h(-8). Suppose -5*o = -k*o + 36. Does 9 divide o? True Suppose -103*z + 91*z + 6360 = 0. Is 29 a factor of z? False Let m = 687 - 217. Does 47 divide m? True Let x = 443 + -290. Does 17 divide x? True Suppose -2*b + 3*q = 8*q, -5*b + 3*q = -31. Suppose 0*h = -h + b. Suppose -2*v + o + 251 = 94, 153 = 2*v - h*o. Is 38 a factor of v? False Is 23 a factor of -115*(66/(-15) + 3)? True Suppose -x + 0*x - 14 = -3*m, 3*m + 3*x = 18. Suppose -4*a - 4*p + 20 = -0, 0 = -2*a + m*p + 3. Suppose 5*h = c + 205, 0*c + 60 = h - a*c. Does 11 divide h? False Let a be (-36)/8*(-4)/(-3). Let s be -3*(a + 3 - -2). Suppose s*b - 68 = 193. Does 12 divide b? False Let b = -2265 + 3554. Is b a multiple of 49? False Suppose -2*s - s - 2*j = 61, 3*s + j = -62. Let o = -8 - s. Is o a multiple of 13? True Suppose 0 = 4*o + 4*x - 460, 0*o + o - 107 = x. Suppose -20 = -n + o. Does 19 divide n? False Suppose 8 = 2*v - 2*d, 19 = -0*v + 4*v - 3*d. Suppose j + v*h = 2*h + 84, -h = -j + 54. Is j a multiple of 5? False Let c = 2839 + -1057. Is c a multiple of 54? True Let p = 46 - 44. Does 21 divide (-42)/4*((-1 - p) + -3)? True Suppose 374 = 9*o - 391. Does 85 divide o? True Suppose 0*r + 3*r + 33 = 0. Let g(j) = -6*j - 51. Let h(k) = k + 3. Let m(q) = -g(q) - 9*h(q). Does 6 divide m(r)? False Let m = 607 + 111. Is 58 a factor of m? False Let s = 43 - -179. Does 21 divide s? False Suppose 19 = j - x, 0*j - 4*x = 2*j - 14. Suppose 5*m - 1 = 14, -3*l + 5*m = j. Suppose o - 12 = -l*o. Is 4 a factor of o? True Suppose 3*k = -4*b + 15, 2*b - 2*k = -6*k. Is (56/6)/(b/117) a multiple of 16? False Let v(x) = 3 - 2*x**2 - 10*x + 10*x**2 + 0 + x**2 - x**3. Let t be v(7). Let o = -12 + t. Is 5 a factor of o? False Suppose 74*f - 13*f = 82167. Is 44 a factor of f? False Let h = 5 + 0. Suppose 0 = -4*r + l + 34, -h*r + 3*r + 2*l = -20. Is r a multiple of 8? True Let j(f) = 12*f**2 - 62*f + 5 + 7 + f**3 + 57*f. Is 50 a factor of j(-9)? True Suppose 243 = 2*i + 203. Does 20 divide 24 - (2/(-5) + 88/i)? True Let b(q) be the second derivative of 7/3*q**3 + 0 - 11/2*q**2 - 12*q. Is b(7) a multiple of 29? True Let z(u) = 3*u**2 - 2*u + 1. Let k be ((-15)/(-9) - -3)*3. Suppose k = 5*o + 4*d, -3*d = -o - o + 1. Does 3 divide z(o)? True Let k be 2/5*(4 + (14 - -2)). Let m(q) = q**3 - 8*q**2 + 4*q - 8. Is m(k) a multiple of 12? True Suppose 13*p + 4872 = 25*p. Does 29 divide p? True Let r(s) = 2*s - 2. Suppose -z + 24 = 2*g + 2*z, -g = -2*z + 2. Suppose 60 = -k + g*k. Is r(k) a multiple of 6? False Let g = 1194 + -1051. Does 14 divide g? False Let p = 27 - 21. Suppose -5*c + 2*x = p*x - 17, -2*c + 8 = x. Is c a multiple of 5? True Let q = 1093 + -103. Does 99 divide q? True Suppose 0 = 2*s - 5*s - 84. Let i be 2*2*(-287)/s. Suppose -2*t = -7 - i. Is 8 a factor of t? True Let a(i) = i**3 + 2*i**2 - 6*i + 3. Let v be a(4). Is 8 a factor of 30/v - 76/(-10)? True Let n = 61 + -43. Let g = n + -5. Suppose p - g = 41. Does 22 divide p? False Suppose 3*y + 213 = -2*c, 6*c - 7*c - 89 = -2*y. Let l = 108 + c. Is 5 a factor of l? False Let f = -190 + 234. Let w = 6 - 4. Suppose f = 4*a + w*u, 48 = 4*a - 2*u + 5*u. Is a a multiple of 5? False Let l = 83 + -23. Suppose 3*t - 168 = l. Let x = -42 + t. Does 17 divide x? True Let o(y) = y + 1. Let i be o(-5). Let f = i + 10. Does 4 divide f/27 - 176/(-18)? False Let q be (64 + 2)/((-4)/4). Let c = 78 + q. Is c a multiple of 10? False Let k be (32/(-6))/((-4)/(-30)). Let a = k + 47. Is a even? False Let x be -1 - (-4 + (-58 - 3)). Suppose -5*l + 6*l = x. Is l a multiple of 14? False Suppose -3*d = 5*l - 2597, -5*d + d - 3*l = -3459. Is d a multiple of 48? True Suppose 581*m = 579*m + 1364. Is m a multiple of 10? False Let o = -1228 - -1748. Is 4 a factor of o? True Is ((-2)/4)/(5/(5 + -2795)) a multiple of 4? False Let c = -220 - -232. Is 3 a factor of c? True Let d = 593 + -545. Is 8 a factor of d? True Let t = 2527 + -1973. Does 9 divide t? False Suppose 3*l - 2*l + 897 = 5*i, -4*i = 5*l + 4485. Let m = l + 449. Is 19 a factor of 1/(4*(-2)/m)? False Let b = 198 + -189. Is 6 a factor of b? False Suppose 11*m - 553 = 10*m. Does 25 divide m? False Let r be (-5)/10*-939*4/3. Suppose -x = -5*d + r, -5*d = -2*d - 4*x - 362. Is d a multiple of 14? True Let m(b) = b**2 - b + 7*b**3 - 3 + 5 - 3. Let h be m(2). Suppose 5*x + h - 197 = 0. Is x a multiple of 10? False Let j be (-2)/8*0 - 3. Let m = 7 + j. Suppose 0 = -5*p + p - m*a + 280, 0 = 2*a + 4. Is p a multiple of 17? False Let q = 14 -
{ "pile_set_name": "DM Mathematics" }
1. Let y = q + -5.4. Let g = -88 - -88.5. Which is the third biggest value? (a) y (b) 0.4 (c) g a Suppose 5*q + 6 = 1. Let b = 50 + -55. What is the smallest value in b, q, 0.4? b Let x = 6.11 - 0.11. Let k = 3 - x. Let r = 0.159 + -0.059. What is the biggest value in -3/2, k, r? r Let f = -5.07 - -0.07. Let l = -0.003 + -4.597. Let m = f - l. What is the third smallest value in m, 3/4, 1/2? 3/4 Let a be 103/(-21) - (308/147 + -2). Let k = 0.24 - 0.2. What is the third smallest value in 1, k, a? 1 Let h = -349/4 + 88. Let g = -0.07 + -0.03. Which is the third smallest value? (a) g (b) h (c) 1 c Let h = -0.26 + 0.5. Let w = -0.3 + 0.26. Let f = h + w. Which is the second biggest value? (a) -0.1 (b) f (c) -1 a Let w = -11 + 11.5. Let s = 0.4 - w. Which is the smallest value? (a) s (b) 0.01 (c) -3 c Suppose 2 = 5*v - 5*i - 3, 4*i = 2*v + 8. Suppose m = 4*m - v. What is the second smallest value in 5, m, 3/5? m Let m = -1 - -6/5. Suppose -y - 2 - 3 = 0, -3*y = -5*l - 5. What is the second smallest value in m, l, 1/3? m Let s = 12.4 - -0.6. Let l = -13.1 + s. Which is the smallest value? (a) -2 (b) -5 (c) l b Suppose -680 = 3*z - 8*z. Let a = z - 547/4. Let f = 0.1 + 0.1. What is the smallest value in a, f, 1/9? a Let g = 0.02 + -0.42. Which is the third biggest value? (a) 2/5 (b) -2 (c) g (d) -0.2 c Let n = -8/51 - 3/17. What is the third biggest value in -4, n, -7? -7 Let s be (2 + 0 - (-40)/(-17))/2. Which is the biggest value? (a) 0 (b) -0.1 (c) s a Let i be (-10)/(3*(-4)/(-6)). Which is the second biggest value? (a) 2 (b) i (c) 1/7 c Let u = -2/2215 + -8742/130685. Let g = 178/885 + u. Which is the third smallest value? (a) -1 (b) g (c) -2/5 b Let k = 27 + -28. Which is the second biggest value? (a) 0 (b) -8 (c) k c Let m = 1 - 0.7. Let l = -10 - -68/7. Which is the smallest value? (a) 5 (b) m (c) l c Let x = 35.4 + -35. What is the second smallest value in x, 0, -2/9? 0 Let t = 2 + 2. Let b = 1 - 0.7. What is the third biggest value in b, 5, t? b Let v = 2.17 - 2. Let a = 7.83 + v. Let n = a - 4. What is the second smallest value in 5, -4, n? n Let z = -2.3 - 0.7. Let y = -2 - z. Which is the second biggest value? (a) 3 (b) y (c) 2 c Let f be ((-18)/12)/(18/(-8)). Let r be 1*(8 - (-1 + -1)). Suppose 3*y - 3*m - 5 = -2*m, -2*y - r = 2*m. What is the third biggest value in f, y, -5? -5 Suppose 2*k - 3*k = -2*d + 3, -12 = 4*k - 5*d. Which is the smallest value? (a) k (b) 0 (c) -0.04 a Let z = -0.03 - 1.97. Let i = 0.22 - -2.18. Let a = z + i. What is the third smallest value in -0.4, 0.3, a? a Let z = -0.4 + 4.4. Let w = z + -3.6. Which is the second smallest value? (a) 5 (b) -1/4 (c) w c Let i be (-84)/(-8)*(-34)/9. Let t = i - -40. Which is the biggest value? (a) 2 (b) t (c) -1/6 a Let m = -0.1 - -0.1. Let i be (-1 - 0)/(-1)*2/2. Which is the third biggest value? (a) m (b) i (c) -5 c Suppose -3*f + 4*i + 4 + 0 = 0, 5*f + 24 = -i. Let d be (-22)/(-8) + (-2)/(-8). Which is the biggest value? (a) d (b) 5 (c) f b Let y = -7/8 - -19/40. Let h be 6 - 1 - (1 + 0). Which is the third smallest value? (a) y (b) -0.1 (c) h c Let h = -0.88 + -0.12. What is the second biggest value in h, -4, 1? h Let w be (8 + -6)/(-7*1). Let j = -0.14 + 0.1. Let x = j + -0.26. Which is the third biggest value? (a) x (b) 0.1 (c) w a Let y = 86 + -432/5. Which is the second biggest value? (a) 2/15 (b) y (c) -3 b Let g = 1.2 - 1. Let f = 0.2 - g. Let j = 5.5 + -5.8. What is the biggest value in f, -0.2, j? f Let y be 18/24 - 10/56. What is the smallest value in y, -0.2, -2? -2 Let d = 2 + -3. Which is the third smallest value? (a) 0.5 (b) -3 (c) d a Let u be (-3)/12 - 20/(-208). Which is the biggest value? (a) u (b) -2 (c) -1 a Let o = 1.1 - 1. Let n(l) = -l + 12. Let v be n(7). Which is the second smallest value? (a) o (b) v (c) 3 c Let l(x) = 3*x**3 - 5*x**2 + 3*x - 1. Let t be l(3). Suppose t = -a - 0*a. Let n = 131/3 + a. What is the third smallest value in n, -3, -4? n Let x be -3 + 2 + 1/1. Let w(a) = a**2 - 2*a + 1. Let l be w(3). Suppose l*u + 7 + 9 = x. What is the biggest value in -5, u, 0.3? 0.3 Let h = 0.8 + 0.1. Let o = 6.9 - h. Let a = o + -4. What is the third biggest value in -0.06, 1, a? -0.06 Let m = 5.4 - 5.2. Which is the second smallest value? (a) -2/5 (b) -4 (c) m a Let r = 3 - 3. Suppose r = w + 3 + 1. Let f be 26/18 - (1 - 0). Which is the second biggest value? (a) 2/7 (b) f (c) w a Suppose 4*d + d - 2*u - 3 = 0, 0 = 4*d - 4*u. Let x = d - 1. Which is the third smallest value? (a) -2 (b) x (c) -2/13 b Let v be 82/(-335) + (-2)/(-10). Let y = 89/1005 - v. What is the biggest value in y, 3, -1? 3 Let m = 0.2 + -0.21. Let p = m - 3.99. Let z = -8 - p. Which is the biggest value? (a) 5 (b) z (c) 0 a Suppose -12*g - 15 + 51 = 0. What is the third biggest value in -0.01, 0, g? -0.01 Let l be -1 + ((-276)/8)/3. Let u = l + 12. Which is the third biggest value? (a) 3/2 (b) 3 (c) u c Let d = 58 - 56. Which is the second smallest value? (a) d (b) 1/3 (c) 5 a Let x = 71 - 70.7. Which is the fourth biggest value? (a) 5 (b) 2 (c) x (d) -0.5 d Let n = 6 + -1. Let t be 1/4 + (-35)/60. What is the third biggest value in t, n, 1? t Let p = -14 + 9. Let i = p - -7. Let g be (-2)/3 + (-8)/(-30). Which is the third biggest value? (a) g (b) 0.4 (c) i a Let y = -2 - 3. Let z = y + 2. Which is the smallest value? (a) z (b) 0 (c) 0.2 a Let x = 2101/15 - 140. Which is the smallest value? (a) x (b) 4 (c) -3 c Let y = -10 - -10.36. Let p = y - -0.04. What is the second biggest value in p, 2, -4? p Suppose -7*t + 2*t + 25 = 0. What is the second biggest value in t, 2, 3/7? 2 Let r = -1.98 + -0.02. Let t = -31 - -30. What is the smallest value in 1/4, r, t? r Let v = 15 - 29/2. What is the biggest value in -2, 4, v? 4 Let k = -3 - -2.7. What is the second biggest value in k, 0, -1/7? -1/7 Let w = -40 + 37. Let x = 139/102 - 1/34. Which is the smallest value? (a) x (b) w (c) -5 c Let d = -36.4 + 40. Let n = 0.6 - d. What is the second smallest value in n, 0.5, 3? 0.5 Let s be (0 - 1)*(-4)/16. Which is the third biggest value? (a) -1/6 (b) 4 (c) s a Let k be 7/(-4)*12/(-20678). Let u = 449053/44310 - k. Let r = -54/5 + u. Which is the third biggest value? (a) 0 (b) -0.3 (c) r c Let p = 0 + -0.2. Let l = p + 0.2. Let j = -2 - l. Which is the third biggest value? (a) j (b) -2/19 (c) -2/7 a Let p = -1.4 + 3.4. Which is the second smallest value? (a) p (b) 0.02 (c) 2/5 c Let u(n) = n**2 - 1. Let o be u(-2). Let s = -3 - 7. Let j be (12/10)/(s/25). What is the smallest value in j, o, 3/7? j Let h = -11 - -23/2. Which is the biggest value? (a) 0 (b) h (c) 2 c Let p be -3 - (-5)/((-5)/(-8)). Suppose 1 - 16 = -p*g. Let q be (g - 5/4) + -2. Which is the third biggest value? (a) -2 (b) 4 (c) q a Let r = -0.27 + 0.27. What is the third biggest value in r, -1/6, 5? -1/6 Let g = 0.022 - 0.222. Which is the third biggest value? (a) 0.2 (b) g (c) -4 c Let o = 1 - 0. Suppose 3*l = -v + 16, 3*l + 0*l = 2*v + 22. Let j = 5 - l. Which is the biggest value? (a) j (b) 3 (c) o b Let h = 931 - 2659/3. Let g = h + -45. Let a = 13 - 18. What is the third biggest value in g, -0.3, a? a Let f = -0.8 - -1. Let y = f + -0.1. Let j be -4 - (-1 + 34/(-10)). Which is the third smallest value? (a) y (b) 2 (c) j b Let s = -647 - -648. Let r = 0.1 - 1.1. What is the smallest value in s, r, 0.4? r Let g = 13/6 + -5/6. Which is the third smallest value? (a) 1/4 (b) -1/14 (c) g (d) 0.04 a Let g be (-27)/(-36)*(-287)/(-3). Let p = -71 + g. Which is the third biggest value? (a) p (b) 2 (c) 4 a Let j be (-12)/(-15) + -4 - -3. Which is the second smallest value? (a) -8 (b) 3/5 (c) j c Let x = -3.8 + 0.8. Let n = 4 + x. What is the third biggest value in 2/5, -0.3, n? -0.3 Let v = 0.2 - 0.2. Let g = -2 - -1.8. Suppose -2*j - 4 = -6. Which is the third smallest value? (a) v (b) g (c) j c Let z(i) = i**3 - 4*i**2 - 6. Let l be z(5). Suppose 3*p = 4*p - 5*v - 26, 4*p = 3*v + l. Which is the third biggest value? (a) p (b) -1 (c) -0.5 b Let y = 0.6 - 0.3. Which is the second biggest value? (a) 0 (b) 4/9 (c) y c Let m = 2.124 - 0.124. Which is the fourth smallest value? (a) 0.
{ "pile_set_name": "DM Mathematics" }
e 5/(5/h) + 3. Let n(f) = -2*f - 4. Is n(v) a multiple of 5? False Let l(r) = r**2 - 3*r + 4. Let f be l(3). Suppose -f*w - 20 = -5*w. Is w a multiple of 10? True Let u = -26 - -50. Is 8 a factor of u? True Let s(t) = -t**3 + 5*t**2 - 5. Let p be s(4). Let l = -6 + p. Is 2 a factor of l? False Let u(m) = 74*m**2 + 5*m - 4. Is 5 a factor of u(1)? True Suppose -3*k = -2*k - 4. Let v = k + -3. Is (0 - v)/(2/(-34)) a multiple of 17? True Let t(a) = a**3 - 7*a**2 + 5*a - 9. Let q be t(7). Suppose -d = -q - 9. Does 13 divide -1 + (0 - 2) + d? False Let o be (-92)/(-5) + (-4)/10. Suppose 3*g = 2*g + o. Is 9 a factor of g? True Let l = -2 + 8. Let a(w) = -2*w**2 + 7*w - 2*w**2 - 8 + l*w**2. Does 11 divide a(-6)? True Let h(b) = 3*b + 58. Is 29 a factor of h(0)? True Let d(l) = l**2 + 3*l + 3. Let s be d(-2). Is 3 + (s - -26) + -2 a multiple of 10? False Let r be (-1)/2*(-14)/1. Let x(v) = -9*v**2 - 25*v - 13. Let i(h) = 5*h**2 + 13*h + 6. Let l(s) = r*i(s) + 4*x(s). Is l(-7) even? True Is 6 a factor of 14 + 8/((-20)/5)? True Let k be ((-1)/(-3))/((-1)/(-6)). Let n be 3 + -4*2/(-4). Let p = k + n. Is 6 a factor of p? False Suppose 11 = -5*v - 9. Let d be (3/v)/((-1)/32). Does 12 divide ((-3)/(-6))/(1/d)? True Let b(w) = 5*w**2 - 4*w**2 - w**3 - 3*w + 6*w**2 - 8. Let f be b(6). Does 6 divide -5*(8/f + -2)? True Let w = -3 - -5. Suppose 0 = 2*r - r + w*a + 4, 5*a + 15 = 0. Suppose -2 - 24 = -r*d. Is 10 a factor of d? False Let g = 3 + -2. Let v(t) = g - 12*t**3 + t - 8*t**3 + 6*t**3. Is 12 a factor of v(-1)? False Let x = 18 + -13. Suppose -3*q + 7 = -x*j, q - 5*j = 3 + 16. Is 10 a factor of 4/q + (-96)/(-9)? True Let o(j) = -2*j. Let a = -22 + 16. Is o(a) a multiple of 5? False Suppose -3*p - 1 = -r + 17, 2 = p. Let u be 34/(-4) + r/16. Let t(f) = f**3 + 7*f**2 - f - 1. Does 3 divide t(u)? True Let o = 31 - 7. Suppose o = 3*u - 18. Does 7 divide u? True Let u(d) = 25*d**2 + d + 1. Is u(-2) a multiple of 19? False Let f(u) = -u**3 - 5*u**2 + 4*u + 5. Is 9 a factor of f(-6)? False Suppose -18*s + 15 = -13*s. Is s a multiple of 2? False Does 2 divide 0 - (2/(-2) + (-10 - -9))? True Let c = 19 + -14. Suppose -2*h + c*h = -5*v + 44, -h - 5*v = 2. Is h a multiple of 23? True Let z = 23 - -19. Does 6 divide z? True Suppose 0 = 4*y - 41 - 23. Is 9 a factor of (60/y)/((-2)/(-8))? False Let i = 20 - 49. Let p = i + 60. Is p a multiple of 13? False Let h be 11*11/(22/12). Suppose 2*m - h = -14. Is m a multiple of 18? False Let r be 1/(-2)*0/1. Suppose r = q - 4*q. Suppose q*b + 5*b = 50. Is 5 a factor of b? True Let d be (-1)/(-3) + 1575/(-27). Let c = d - -86. Is 14 a factor of c? True Let l(m) = m**3 + 5*m**2 + 4. Let o be l(-5). Suppose -17 = -o*g + 3, -x + 4*g - 16 = 0. Does 3 divide x? False Suppose 0 = 2*c - 5*u + 27, c - u + 9 = -0*c. Let n(x) = -x**2 - 8*x - 8. Let b be n(c). Does 10 divide ((-30)/b)/(2/(-4))? False Suppose -z + 0*z + 11 = 3*i, -2*i + 14 = 2*z. Suppose -5*w - 34 = -2*d, i*w - 85 = -5*d - w. Is d a multiple of 4? False Suppose -5*o + 535 = -5*b, 2*o = -0*o - 5*b + 179. Does 34 divide o? True Let r = 52 + -31. Does 21 divide 1317/r - 6/(-21)? True Suppose -123*z = -120*z - 513. Is z a multiple of 20? False Let b(v) = -v + 24. Let n be b(0). Suppose o - m + 15 = 0, -2*o + 3*m = 6 + 22. Let i = n + o. Does 3 divide i? False Let t = 2 - -9. Suppose -t = 4*p - 31. Does 4 divide p? False Suppose 0*q + 3*q = 0. Suppose -6 + q = -j. Is j a multiple of 5? False Suppose 5*g + 3*o + 30 = 5*o, -2*g - o = 3. Let h = 19 - g. Suppose 29 = 5*s + 7*y - 3*y, -5*s = -2*y - h. Is s a multiple of 3? False Let i(z) = z - 11. Is 3 a factor of i(14)? True Let b be -13 + 1/((-1)/(-2)). Let c = b + 15. Does 2 divide c? True Let z = -9 + 4. Suppose -3*n = 4*l + 66, 2*l - 4*n = -n - 24. Is 12 a factor of -2 + z/(l/78)? True Suppose 2*s + 0 = 4. Suppose -s*v - 124 = -6*v. Does 22 divide v? False Let i be 4/1 - (-8)/(-4). Let b be 14/(-3)*3/(-2). Suppose x = -4*w + 30, -i*w = -x - b - 11. Does 4 divide w? True Suppose 11 - 550 = -11*p. Is p a multiple of 7? True Let i = 5 + -5. Does 24 divide -1 + (i + 1)*25? True Let j be 141/27 + (-2)/9. Suppose 0 = j*f - 4*f - 16. Suppose 0 = z - 4*v - f, 2*v = 4*z - 0*v - 64. Does 16 divide z? True Suppose 17 = 5*i - 3*m, -5*m - 5 - 6 = -4*i. Suppose f = 11 - i. Does 5 divide f? False Let r(w) = w + 7. Let n be r(-4). Suppose 2*l = -n*l + 140. Is l a multiple of 9? False Let x be 3/1 + (-17 - -16). Suppose -x*p = p - 21. Is p a multiple of 2? False Let b = -1 - -66. Is b a multiple of 18? False Suppose 2*c = -0 + 6, 2*o = -4*c + 474. Suppose -41 = 5*z - o. Does 17 divide z? False Let a(t) = -2*t - 2. Let i = 9 + -20. Is 20 a factor of a(i)? True Let p = 5 - -58. Is p a multiple of 21? True Suppose 0 = 5*p - 4*u - 18, 0*p + 5*u = p - 12. Is 243/p*18/27 a multiple of 23? False Suppose 0 = -4*i + i. Let k(w) = -w**3 - w + 1. Let d be k(i). Is 12 a factor of d*(-39)/(-6)*4? False Suppose -3*n - h = -5*h - 59, -n + 23 = -2*h. Let u = 7 - n. Is 6 a factor of u/15 - 62/(-5)? True Let z(g) = -11*g - 5. Is 6 a factor of z(-2)? False Let r(m) = -m**3 - 5*m**2 + 6*m + 4. Does 15 divide r(-7)? True Let s = 107 + -62. Is 6 a factor of s? False Suppose -4*z + 2*m + 4 = 0, 6*m - 2*m - 13 = z. Suppose 0*a - z*a = -57. Is 9 a factor of a? False Suppose 4*o = -o + 5*h + 120, -3*o + 5*h = -68. Is 17 a factor of o? False Let a(r) = r - 3*r + 16 + r. Let o be a(7). Let i = o + 1. Does 5 divide i? True Let g(b) = -69*b + 3. Does 24 divide g(-1)? True Let d(c) = -2*c**3 + c**2 + c + 1. Let r be d(-1). Suppose -n - r*n - 41 = -5*g, -5*g - 2*n + 47 = 0. Is g a multiple of 4? False Suppose -3*w = 4*g - 85, 4*w + 2 = g - 5. Suppose -2*c + 5 = -g. Is c a multiple of 5? False Suppose 0 = 2*r - h - 1, -r - h = 3 - 2. Suppose r = q - 1 - 3. Suppose -26 = -2*i - q*y, 5*i - 7 = y + 3. Is i even? False Suppose -3*d + v - 3*v + 9 = 0, -d - v + 3 = 0. Let i = 35 - d. Does 16 divide i? True Let r(o) = o**3 - 2*o. Let z be 1 + -1 - -2*1. Is r(z) even? True Let t(w) = 7*w + 5. Let v be t(5). Suppose -3*n - v = -5*n. Is n a multiple of 10? True Let q = -38 - -137. Is q a multiple of 26? False Let m = 100 + 0. Is m a multiple of 10? True Suppose 4*j - 2*h + 29 = h, -j - h - 2 = 0. Suppose 0 = -p + 2*p - 21. Let c = j + p. Does 8 divide c? True Let c(s) = s**2 + s + 7. Is 39 a factor of c(-11)? True Suppose 5*o - 30 = 10*o. Let t(s) = -5*s**2 + 9. Let l(q) = 14*q**2 + q - 26. Let u(m) = 4*l(m) + 11*t(m). Does 7 divide u(o)? True Let j = 181 + -85. Is j a multiple of 12? True Suppose 5*t + 5*q + 1 = 3*t, 0 = -t + 5*q - 8. Let x be -223 + t + 3 - -3. Is 2/6 + x/(-15) a multiple of 15? True Let s = 2 + -1. Is -21*(1 - 2)*s a multiple of 15? False Let r = 109 - -9. Is r a multiple of 47? False Suppose 6*r + 29 = h + 3*r, -5*h + 77 = 2*r. Does 17 divide h? True Let v be -3*2*10/(-12). Suppose 4*p - 15 - 1 = 0. Suppose -3*k + 5*l = 2*k - 45, 0 = p*k + v*l. Is k a multiple of 5? True Suppose -2*i + 892 = 7*t - 3*t, 5*t - 1089 = 4*i. Is 28 a factor of t? False Let w(p) be the second derivative of 5/6*p**3 - 3/2*p**2 + 1/3*p**4 + 3*p - 1/20*p**5 + 0. Does 17 divide w(4)? True Let u(m) = 5*m**2 - 4*m. Let r(z) = z**3 + 9*z**2 - z - 12. Let v be r(-9). Is u(v) a multiple of 19? True Suppose 0 = 2*y - 4 - 0. Suppose 90 = 3*b + 3*u, -6*u = -3*u + 12. Suppose -m + 0*m = -y*q - 10, -3*m + 5*q = -b. Does 8 divide m? False Let z(r) = r**2 - 5*r - 8. Does 4 divide z(7)? False Let h(c) = c**3 + 16*c**2 - 4*c - 25. Does 7 divide h(-16)? False Let z = -20 - -30. Is 10 a factor of z? True Let q = 139 + 1. Does 20 divide q? True Suppose -3*b + 0*b = 5*m + 3, 5*m - 5*b - 5 = 0. Suppose -4*i + 2*c - 31 + 83 = m, 5*c - 50 = -5*i. Is 18 a factor of (i/5)/(2/30)? True Suppose -p - 8 = -10. Suppose 5*d - 3*m = 453, -p*m = 3*d + 2*d - 448. Is 30 a factor of d? True Let q be (-10)/(-2 - (-8)/6). Suppose 0 - q = -g. Does 6 divide g? False Let s(n) = -n**3 - 7*n**2 - 7*n. Let q be s(-6). Let x be (-3)/(-1*3/q). Let m(o) = 2*o - 3. Is m(x) a multiple of 9? True Let w(v) = v**2 + v + 1. Let b(a) = -6*a**2 - 6*a + 11. Let m(q) = b(q) + 5*w(q). Let j = 34 - 34. Does 16 divide m(j)? True Let f = 23 + -14. Suppose 2*n + f = 35. Does 13 divide n? True Suppose -w - 10*w = -3630. Does 55 divide w? True Let u(k
{ "pile_set_name": "DM Mathematics" }
after 9:41 PM? 5:04 AM How many minutes are there between 8:34 PM and 9:24 PM? 50 What is 250 minutes before 11:18 AM? 7:08 AM How many minutes are there between 6:19 AM and 4:29 PM? 610 What is 578 minutes before 6:34 AM? 8:56 PM How many minutes are there between 11:54 PM and 6:34 AM? 400 What is 293 minutes before 10:40 AM? 5:47 AM What is 107 minutes before 6:19 AM? 4:32 AM What is 485 minutes before 6:32 PM? 10:27 AM How many minutes are there between 6:07 PM and 10:33 PM? 266 How many minutes are there between 8:33 AM and 6:06 PM? 573 How many minutes are there between 10:36 AM and 3:25 PM? 289 What is 402 minutes after 10:14 AM? 4:56 PM How many minutes are there between 1:26 PM and 7:52 PM? 386 How many minutes are there between 11:19 PM and 1:03 AM? 104 How many minutes are there between 12:36 PM and 1:32 PM? 56 How many minutes are there between 1:21 PM and 3:33 PM? 132 How many minutes are there between 6:29 AM and 2:29 PM? 480 How many minutes are there between 3:48 AM and 8:53 AM? 305 What is 332 minutes before 12:54 AM? 7:22 PM What is 612 minutes after 12:25 AM? 10:37 AM What is 341 minutes after 9:03 AM? 2:44 PM How many minutes are there between 6:17 PM and 11:27 PM? 310 What is 27 minutes before 4:07 AM? 3:40 AM How many minutes are there between 12:22 AM and 7:03 AM? 401 How many minutes are there between 1:51 AM and 8:36 AM? 405 How many minutes are there between 11:47 PM and 1:28 AM? 101 How many minutes are there between 9:55 AM and 8:11 PM? 616 How many minutes are there between 9:32 AM and 10:39 AM? 67 How many minutes are there between 7:08 PM and 3:10 AM? 482 How many minutes are there between 6:01 AM and 5:47 PM? 706 What is 322 minutes before 2:33 AM? 9:11 PM What is 662 minutes after 7:41 AM? 6:43 PM What is 144 minutes before 3:08 PM? 12:44 PM How many minutes are there between 12:59 AM and 6:20 AM? 321 What is 532 minutes after 10:24 AM? 7:16 PM How many minutes are there between 12:06 PM and 11:01 PM? 655 What is 320 minutes before 3:47 PM? 10:27 AM How many minutes are there between 9:11 PM and 6:47 AM? 576 What is 591 minutes before 2:36 AM? 4:45 PM How many minutes are there between 11:13 PM and 4:55 AM? 342 What is 528 minutes before 2:46 AM? 5:58 PM What is 62 minutes before 7:14 AM? 6:12 AM How many minutes are there between 12:37 PM and 4:01 PM? 204 How many minutes are there between 11:36 AM and 7:15 PM? 459 How many minutes are there between 11:43 AM and 2:23 PM? 160 What is 158 minutes before 6:16 AM? 3:38 AM What is 175 minutes before 11:10 PM? 8:15 PM How many minutes are there between 4:28 PM and 9:26 PM? 298 What is 446 minutes after 1:51 AM? 9:17 AM How many minutes are there between 3:54 AM and 3:06 PM? 672 What is 609 minutes before 5:42 AM? 7:33 PM How many minutes are there between 5:58 AM and 7:58 AM? 120 How many minutes are there between 11:40 AM and 1:43 PM? 123 How many minutes are there between 10:22 PM and 3:39 AM? 317 What is 473 minutes before 5:53 AM? 10:00 PM How many minutes are there between 2:44 AM and 2:05 PM? 681 What is 295 minutes after 12:09 AM? 5:04 AM What is 456 minutes after 12:38 PM? 8:14 PM What is 111 minutes before 2:22 AM? 12:31 AM How many minutes are there between 5:55 AM and 4:22 PM? 627 How many minutes are there between 5:12 PM and 11:43 PM? 391 What is 328 minutes after 4:38 PM? 10:06 PM What is 253 minutes before 6:05 AM? 1:52 AM What is 367 minutes after 6:34 AM? 12:41 PM What is 50 minutes before 2:10 AM? 1:20 AM How many minutes are there between 4:39 AM and 7:43 AM? 184 What is 595 minutes before 5:32 PM? 7:37 AM How many minutes are there between 7:35 AM and 9:57 AM? 142 How many minutes are there between 2:03 PM and 10:19 PM? 496 What is 391 minutes before 12:47 PM? 6:16 AM How many minutes are there between 9:08 PM and 1:59 AM? 291 What is 313 minutes after 8:43 PM? 1:56 AM How many minutes are there between 8:07 AM and 1:29 PM? 322 How many minutes are there between 8:54 PM and 11:26 PM? 152 How many minutes are there between 9:04 PM and 1:04 AM? 240 How many minutes are there between 5:10 AM and 2:59 PM? 589 How many minutes are there between 5:12 AM and 7:34 AM? 142 How many minutes are there between 9:54 PM and 9:58 PM? 4 What is 337 minutes before 9:09 PM? 3:32 PM How many minutes are there between 2:07 AM and 9:16 AM? 429 What is 191 minutes after 11:54 AM? 3:05 PM What is 172 minutes before 6:34 PM? 3:42 PM What is 20 minutes before 2:55 AM? 2:35 AM How many minutes are there between 3:08 AM and 5:48 AM? 160 What is 526 minutes after 8:51 AM? 5:37 PM What is 631 minutes after 2:22 PM? 12:53 AM How many minutes are there between 10:08 AM and 1:19 PM? 191 What is 345 minutes before 1:14 AM? 7:29 PM How many minutes are there between 11:02 PM and 6:25 AM? 443 What is 123 minutes after 4:50 PM? 6:53 PM How many minutes are there between 2:29 AM and 4:11 AM? 102 What is 502 minutes after 11:44 AM? 8:06 PM What is 223 minutes before 12:54 AM? 9:11 PM How many minutes are there between 3:23 AM and 10:03 AM? 400 How many minutes are there between 2:02 PM and 8:33 PM? 391 How many minutes are there between 8:18 AM and 5:38 PM? 560 How many minutes are there between 9:04 PM and 1:02 AM? 238 What is 636 minutes after 12:12 AM? 10:48 AM What is 485 minutes before 5:49 PM? 9:44 AM What is 670 minutes after 11:17 PM? 10:27 AM How many minutes are there between 8:04 PM and 11:28 PM? 204 How many minutes are there between 6:55 PM and 2:55 AM? 480 How many minutes are there between 9:04 AM and 6:53 PM? 589 How many minutes are there between 2:18 AM and 6:30 AM? 252 What is 715 minutes after 2:12 AM? 2:07 PM How many minutes are there between 1:56 PM and 1:23 AM? 687 How many minutes are there between 1:21 PM and 2:14 PM? 53 What is 236 minutes after 7:13 AM? 11:09 AM How many minutes are there between 3:58 PM and 10:23 PM? 385 What is 154 minutes before 7:47 AM? 5:13 AM What is 274 minutes before 9:07 AM? 4:33 AM How many minutes are there between 10:40 AM and 12:08 PM? 88 What is 682 minutes before 4:07 AM? 4:45 PM How many minutes are there between 3:45 AM and 9:02 AM? 317 What is 367 minutes after 7:13 AM? 1:20 PM What is 532 minutes after 9:33 PM? 6:25 AM What is 270 minutes before 4:28 AM? 11:58 PM How many minutes are there between 4:08 PM and 11:17 PM? 429 How many minutes are there between 5:13 PM and 7:53 PM? 160 What is 159 minutes before 1:48 AM? 11:09 PM How many minutes are there between 7:46 PM and 1:45 AM? 359 What is 624 minutes after 12:13 AM? 10:37 AM How many minutes are there between 6:20 PM and 2:30 AM? 490 What is 223 minutes after 4:05 PM? 7:48 PM What is 59 minutes before 5:14 AM? 4:15 AM What is 576 minutes before 4:48 AM? 7:12 PM How many minutes are there between 5:55 AM and 10:29 AM? 274 How many minutes are there between 12:26 PM and 1:54 PM? 88 What is 166 minutes before 6:18 PM? 3:32 PM What is 132 minutes after 1:12 AM? 3:24 AM What is 532 minutes before 6:22 PM? 9:30 AM How many minutes are there between 2:42 PM and 7:33 PM? 291 How many minutes are there between 2:17 AM and 11:03 AM? 526 What is 634 minutes before 7:23 PM? 8:49 AM How many minutes are there between 12:32 PM and 5:42 PM? 310 How many minutes are there between 6:33 PM and 6:42 PM? 9 What is 328 minutes before 5:43 PM? 12:15 PM How many minutes are there between 3:03 PM and 9:45 PM? 402 How many minutes are there between 5:34 AM and 3:29 PM? 595 How many minutes are there between 9:06 AM and 2:06 PM? 300 How many minutes are there between 1:07 PM and 7:52 PM? 405 How many minutes are there between 10:04 AM and 7:07 PM? 543 What is 249 minutes before 6:59 PM? 2:50 PM What is 655 minutes before 6:31 PM? 7:36 AM What is 51 minutes before 4:04 PM? 3:13 PM How many minutes are there between 4:26 AM and 2:22 PM? 596 How many minutes are there between 6:54 PM and 8:32 PM? 98 What is 669 minutes before 10:35 PM? 11:26 AM How many minutes are there between 6:46 AM and 9:19 AM? 153 How many minutes are there between 9:54 PM and 12:09 AM? 135 What is 595 minutes after 9:59 AM? 7:54 PM What is 171 minutes before 8:11 AM? 5:20 AM How many minutes are there between 7:45 PM and 4:12 AM? 507 How many minutes are there between 3:18 AM and 4:00 AM? 42 How many minutes are there
{ "pile_set_name": "DM Mathematics" }
f 2534? True Is 1884 a factor of 994032244? False Is 1817639970 a multiple of 103? True Is 276874910 a multiple of 65? True Does 45 divide 107037000? True Does 22 divide 310614180? False Does 3 divide 12265953? True Does 16 divide 103084928? True Is 22395392 a multiple of 8? True Is 47 a factor of 1474725251? True Does 5 divide 46535250? True Is 3628 a factor of 1183094428? True Is 80 a factor of 61550796? False Is 369324113 a multiple of 3942? False Does 9 divide 96983127? True Is 17709440 a multiple of 16? True Is 9 a factor of 25572200? False Does 66 divide 47890768? False Is 15 a factor of 17200768? False Is 41 a factor of 38063621? True Is 1286958790 a multiple of 15? False Is 473 a factor of 338694961? True Is 49 a factor of 49936? False Is 7042 a factor of 1328976937? False Is 40402143 a multiple of 11? False Is 261359712 a multiple of 2664? True Does 5937 divide 221897879? False Is 26342415 a multiple of 1971? True Does 127 divide 161638488? True Is 52054953 a multiple of 3977? True Is 71 a factor of 852939340? False Does 587 divide 137570494? True Is 1285210268 a multiple of 68? True Is 454270776 a multiple of 1312? False Is 24373779 a multiple of 3? True Does 12 divide 308042139? False Is 1974 a factor of 186329046? False Does 712 divide 1817890504? True Does 357 divide 7735833? True Is 54 a factor of 8074636? False Is 205030959 a multiple of 1303? True Is 927611388 a multiple of 38? True Is 258345584 a multiple of 532? True Is 20196286 a multiple of 22? True Is 143 a factor of 11565411? True Does 13 divide 110808256? True Is 1483 a factor of 458724705? False Is 968480504 a multiple of 529? True Is 56299526 a multiple of 21? False Is 913 a factor of 1540029227? True Is 297465 a multiple of 7? True Is 23 a factor of 3417515835? True Is 1663 a factor of 159694925? False Is 186 a factor of 11840388? True Is 103 a factor of 590640199? False Does 528 divide 737057362? False Does 30 divide 8156760? True Is 178 a factor of 384205384? False Is 17 a factor of 900140962? False Does 3 divide 176716659? True Does 82 divide 410994630? False Is 26042418 a multiple of 49? False Is 9889703 a multiple of 8? False Does 23 divide 1846670? True Is 402766787 a multiple of 24? False Is 98780640 a multiple of 60? True Is 5975152476 a multiple of 334? False Is 663780794 a multiple of 1926? False Is 373 a factor of 13708538? False Is 66296890 a multiple of 38? True Is 46 a factor of 544193483? False Is 6321330 a multiple of 2? True Is 118262718 a multiple of 909? True Is 66 a factor of 94480584? True Is 1447 a factor of 555736576? False Is 105 a factor of 8925420? True Does 534 divide 15453426? True Is 2497 a factor of 35567268? True Does 24 divide 290118144? True Is 220 a factor of 85735211? False Does 167 divide 21890026? True Is 145406280 a multiple of 20? True Does 649 divide 399960150? False Does 3 divide 262709388? True Is 1420138915 a multiple of 223? False Is 64202064 a multiple of 7? False Is 184016939 a multiple of 373? True Is 7 a factor of 12925757? False Does 143 divide 416240504? False Is 19 a factor of 4425653722? False Does 36 divide 35121168? True Does 5 divide 29171010? True Is 16 a factor of 107587824? True Is 81589678 a multiple of 9? False Is 4057423188 a multiple of 6? True Is 1405 a factor of 34192080? True Is 18 a factor of 21616200? True Is 199871678 a multiple of 3674? False Is 623874887 a multiple of 6040? False Is 68 a factor of 118151768? True Is 395127694 a multiple of 2? True Is 123 a factor of 147838374? True Is 37 a factor of 110679876? True Is 1277 a factor of 267733266? True Is 213956582 a multiple of 101? True Does 163 divide 938895135? False Does 31 divide 459849443? True Is 45903984 a multiple of 60? False Is 23 a factor of 36807889? True Does 126 divide 2296026? False Does 26 divide 129498470? False Is 5386818118 a multiple of 1039? False Does 158 divide 494166410? False Does 2987 divide 991499471? False Does 64 divide 2344986714? False Is 1329508069 a multiple of 944? False Is 92514547 a multiple of 127? True Does 632 divide 6699192? False Is 929619948 a multiple of 140? False Is 45061500 a multiple of 375? True Is 493 a factor of 315861572? False Is 138 a factor of 447168990? True Is 9 a factor of 603058367? False Is 165581029 a multiple of 28? False Is 700 a factor of 221736855? False Is 605 a factor of 4673020? True Is 47 a factor of 43035409? True Does 3343 divide 962757256? True Does 137 divide 27832920? True Does 396 divide 31787712? True Is 29229465 a multiple of 645? True Is 6 a factor of 6171564? True Is 40003998 a multiple of 331? True Is 1309631152 a multiple of 88? False Is 146370476 a multiple of 68? True Is 13 a factor of 41727281? False Does 455 divide 16448705? True Is 11837035 a multiple of 4445? True Is 60165477 a multiple of 3794? False Does 6 divide 24130480? False Is 2494 a factor of 354632085? False Is 4362 a factor of 217035672? True Does 3325 divide 19640775? True Is 9382230 a multiple of 143? True Is 1009 a factor of 3772911? False Does 1270 divide 2887763412? False Is 128 a factor of 38706578? False Does 1573 divide 70143216? True Is 283 a factor of 8352079? False Is 772643055 a multiple of 15? True Is 16 a factor of 23621006? False Is 243 a factor of 41195061? True Is 128992904 a multiple of 236? False Is 69387543 a multiple of 1489? False Does 82 divide 33178430? True Is 22 a factor of 109766682? False Is 537792365 a multiple of 605? True Is 2760 a factor of 6756480? True Does 670 divide 3631002690? True Does 9 divide 3309031565? False Does 4121 divide 222979068? True Is 363668124 a multiple of 136? False Is 58 a factor of 1917106886? True Is 14 a factor of 65519608? True Is 849271232 a multiple of 63? False Is 496 a factor of 1144574064? True Is 34288520 a multiple of 881? True Is 256128912 a multiple of 2301? True Is 745 a factor of 12542944? False Is 295 a factor of 44986666? False Is 28220021 a multiple of 684? False Does 14 divide 1290761486? True Is 1181435706 a multiple of 187? True Is 164826462 a multiple of 2238? True Does 1608 divide 79780920? True Is 17223504 a multiple of 368? True Does 6 divide 1233204748? False Does 387 divide 431208558? True Is 17 a factor of 128524837? False Is 37350359 a multiple of 9? False Is 8111054 a multiple of 100? False Is 81139734 a multiple of 11? False Does 31 divide 843723878? False Is 1293612010 a multiple of 163? True Does 72 divide 324988776? True Does 15 divide 268821225? True Does 35 divide 33135935? True Is 900191204 a multiple of 178? False Is 2561220794 a multiple of 2614? False Does 43 divide 73212187? True Is 128 a factor of 258072576? True Is 1451784 a multiple of 241? True Is 101805200 a multiple of 50? True Is 205598670 a multiple of 4? False Is 386 a factor of 42871231? False Is 20 a factor of 52799420? True Is 15753497 a multiple of 661? False Is 12 a factor of 91223569? False Does 31 divide 85514151? True Is 716 a factor of 200467112? True Is 160603606 a multiple of 352? False Is 51884352 a multiple of 2028? True Is 13887756 a multiple of 131? False Is 54340194 a multiple of 12? False Is 473 a factor of 29096122? True Does 301 divide 448210926? False Is 13 a factor of 184282003? False Is 75 a factor of 172865515? False Is 99 a factor of 17700309? True Is 799238340 a multiple of 180? True Is 11061534 a multiple of 6? True Is 15462452 a multiple of 32? False Is 170531055 a multiple of 45? True Does 3131 divide 238400602? True Does 67 divide 2599498659? False Does 32 divide 546896960? True Does 14 divide 272463800? True Does 745 divide 589076035? False Is 29 a factor of 890475450? True Does 382 divide 16891658? True Is 30 a factor of 47415210? True Is 13506042 a multiple of 20? False Is 37264660 a multiple of 789? False Is 1463286188 a multiple of 13? True Is 1537550 a multiple of 46? True Is 22 a factor of 20046764? False Does 4938 divide 289781885? False Is 58 a factor of 1989728? False Is 4264 a factor of 691011048? True Is 22218660 a multiple of 106? True Is 5 a factor of 457483610? True Is 24 a factor of 863887927? False Is 438183297 a multiple of 382? False Is 29 a factor of 166970740? False Does 233 divide 7503024? False Is 10 a factor of 130663260? True Does 57 divide 262206412? False Does 1158 divide 42185940? True Does
{ "pile_set_name": "DM Mathematics" }
0 Let u(m) = -m**3 + m + 7. Let d be u(0). Let z be (-949)/(-52) - (-1)/(8/6). Let v = d + z. Calculate the remainder when 102 is divided by v. 24 Let s(f) be the third derivative of f**5/30 + f**3/6 - f**2. Let r(p) = 60*p - 351. Calculate the remainder when r(6) is divided by s(1). 0 Let p(f) = f**2 + 7*f. Let i be p(-7). Suppose i = -2*k - 4*x + 46, -k + 35 = -0*k - 4*x. What is the remainder when 28 is divided by ((-9)/k)/(1/(-18))? 4 Suppose -33*h + 124 = -8. What is the remainder when 4 is divided by h? 0 What is the remainder when 188/36 - (-4)/(-18) is divided by 3/(-6)*(-4 + -2)? 2 Let l(a) = 12*a - 40. Let i(f) = -26*f + 80. Let o(x) = 3*i(x) + 7*l(x). Calculate the remainder when 298 is divided by o(15). 48 Suppose -2 + 82 = 5*x. Suppose 58 = 5*q - 22. Let a = q + x. What is the remainder when a is divided by 17? 15 Suppose -4*t = -5*w - 22, -6*t + 11*t - 25 = 5*w. Suppose 4*r - 6 - 10 = 0. What is the remainder when r is divided by t? 1 Suppose 0 = 2*u + l + 4 - 38, -56 = -4*u + 4*l. Suppose -c + 6 = 3*h - 6, -3*c = 4*h - 16. Calculate the remainder when 171/h + 8/32 is divided by u. 11 Let x = 63 + -34. Suppose -f - x = -85. What is the remainder when f is divided by 15? 11 Suppose 0*b - 11*b + 319 = 0. What is the remainder when b is divided by 8? 5 Suppose 246 = g - 18. Calculate the remainder when g is divided by 67. 63 Let w(i) = -i**2 - 7. Let t be w(0). Let g(z) = z**2 + z - 4. Suppose 0 = -625*r + 617*r + 904. Calculate the remainder when r is divided by g(t). 37 Let g(p) = -p + 4. Let z be g(1). Suppose z*m - 15 = 30. What is the remainder when 71 is divided by m? 11 What is the remainder when 258 is divided by -13 + 63 + (6 - (2 - 1))? 38 Suppose -90*k = -88*k - 62. What is the remainder when k is divided by 8? 7 Let g be (6/(-9))/(-2*(-5)/795). Let v = g - -80. What is the remainder when v is divided by 2/(-1 + (-16)/(-14))? 13 Let g be 2 + 0 + 3 - 3. Suppose -5*m + 4*o = -g*m + 43, -5*m = -o + 49. What is the remainder when 3/1 - (m - -8) is divided by 3? 1 Let b(m) = -m**3 + 3*m**2 + 2*m - 2. Suppose 0 = 4*j - 2*j - 12. Let u = 2 + j. Calculate the remainder when b(-2) is divided by u. 6 Let q be (3 + -9)/3 - 124. Let x = 128 + q. Calculate the remainder when 10 is divided by x. 0 Let d(m) be the first derivative of 3*m**2 + 4*m + 2. What is the remainder when d(5) is divided by -7*16/(-28) - -5? 7 Let q be (-5)/(-45) - 6/54. Suppose q = 2*x - 19 + 13. Let h(n) = -n**2 + 4*n. Calculate the remainder when h(2) is divided by x. 1 Let f = 76 - 9. Let u = 916 - 896. What is the remainder when f is divided by u? 7 Let p be (-7)/(14/10) + 1. What is the remainder when p/(-2)*(-1386)/(-44) is divided by -1 - (-24 - -1)*1? 19 Calculate the remainder when ((7462/78)/(1/3))/1 is divided by 77. 56 Suppose -2*n = -3*b - 76, 3*n + 0*b + 2*b - 140 = 0. Calculate the remainder when 437 is divided by n. 41 Let m = 71 - 31. What is the remainder when 479 is divided by m? 39 Let u(h) = -h**3 - 5*h**2 - 3*h - 3. Let b be 66 - (2 - 1 - -2). Suppose 2*g + g - b = 0. Calculate the remainder when g is divided by u(-5). 9 Suppose -8 = -3*s + 10. Suppose 5*y - s = -y. What is the remainder when 2 is divided by y? 0 Calculate the remainder when 124 is divided by 4284/78 - (-2)/26. 14 Suppose -27 = l - 4*l. What is the remainder when (-1)/3 + 2/((-30)/(-245)) is divided by l? 7 Let h(q) = -q**3 - 13*q**2 - 66*q + 13. Calculate the remainder when h(-7) is divided by 64. 53 Let t = 15 + -8. Let p = 50 + t. What is the remainder when p is divided by 20? 17 Let f(c) = c**2 - 88*c + 666. Let h = -26 - -40. Calculate the remainder when f(8) is divided by h. 12 What is the remainder when 528 is divided by 8/(-5) + 2 + (-37655)/(-425)? 83 Let g be 33/8 + 18/(-144). What is the remainder when (-4 + 3)/(2/(-250)) - g is divided by 25? 21 Suppose -4*s + g + 0*g + 573 = 0, 0 = 5*s + 2*g - 713. What is the remainder when s is divided by 36? 35 Let a be ((-21)/(-63))/(1/6). Suppose a*p = 2*o - 56 - 0, 148 = 5*o + 3*p. What is the remainder when 47 is divided by o? 18 Calculate the remainder when 43 + (3 + 0)/((-24)/16) is divided by 14. 13 Suppose 0*a + 3*a + 210 = 4*p, -a = p - 49. Let d(f) = 13*f**2 + 17*f. Calculate the remainder when p is divided by d(-2). 15 Let i be (-20)/(-8)*4/10. What is the remainder when 9 is divided by (0 - i)*(-15)/(-9)*-3? 4 Let v = 41 + -26. Let b(f) = -f**3 - 2*f**2 + f - 2. Let a be b(-3). Suppose -a*p + 45 = 21. What is the remainder when v is divided by p? 3 Let z be 146/12 + (0 - 6/36). What is the remainder when (28/z - 2)*(2 + 31) is divided by (-1)/2*-1*12? 5 Let n(a) = -13*a**3 + a**2 - 3*a + 1. Let b be n(-2). Suppose v - 23 = 3*c - 2, 5*v - b = 5*c. What is the remainder when 68 is divided by v? 20 Let z(i) = -i**3 - 8*i**2 - 7*i + 10. Let w be -118*-3*(-1)/(-6). Let u = w - 31. What is the remainder when u is divided by z(-7)? 8 Suppose 44*z = 21022 + 32438. What is the remainder when z is divided by 13? 6 Suppose 0 = w + 23 - 38. Calculate the remainder when 42 is divided by w. 12 Let g = 1072 - 981. Calculate the remainder when g is divided by 3. 1 Suppose 3*w + 20 = 14, 4*g - 2*w = 680. Let n = -133 + g. What is the remainder when n is divided by 26? 10 Suppose -3 = 2*c + 3*u, -2*c - 4 = 2*u - 0. Suppose 212 = 4*o + 184. What is the remainder when 1/c*-1*33 is divided by o? 4 What is the remainder when (-3)/(-2) + (-2567)/(-34) is divided by 27? 23 Suppose 5*d = v + 335, -4*d - 41*v = -38*v - 287. What is the remainder when 180 is divided by d? 44 Let c(h) = -h**3 - h**2 + 7*h + 6. Calculate the remainder when c(-4) is divided by 11. 4 Let g be 396/14 - 6/21. Suppose 2*n = -5*v + 65, -g = -0*v - 3*v + n. Calculate the remainder when 52 is divided by v. 8 Suppose 3*x - 142 = -5*l, x + 6 - 54 = -l. Calculate the remainder when x is divided by 19. 11 Suppose -2*v + 5*i + 11 = -0*v, -i + 8 = 3*v. Suppose 0*b = -v*y - 5*b + 74, -5*y + 5*b = -70. What is the remainder when y is divided by 4? 2 Let w be ((-28)/12)/(1/(-6)). Suppose -46 + w = -4*p. What is the remainder when 27 is divided by p? 3 Let i = 10315 - 10240. Suppose 4*d = 3*d + 16. What is the remainder when i is divided by d? 11 Suppose 62 + 178 = 5*t. Suppose -70*i = -29*i - 738. Calculate the remainder when t is divided by i. 12 Let d = 18 - -20. Suppose -16 = -2*u - 2*u + 3*q, -3*u - q = -12. Suppose -3*y + 17 = c, -5*c + y + 65 = -u*y. Calculate the remainder when d is divided by c. 10 Suppose 4*d - 2*d + 10 = 0. What is the remainder when (-36)/d*(-45)/(-6) - -1 is divided by 20? 15 Suppose 2*o = 4*o - 12. Let k = -961 - -977. What is the remainder when k is divided by o? 4 Let u(n) = 2*n**2 + 3*n - 4. Let y = 4 - 2. Suppose -5*j + 31 = 3*t, -y*t = -4*j - 35 - 15. What is the remainder when t is divided by u(-3)? 2 Let q = -102 + 107. What is the remainder when 10 is divided by q? 0 Let b = -1 + 11. What is the remainder when b is divided by ((84/8)/(-7))/((-17)/34)? 1 Calculate the remainder when 36 is divided by -10*((-18)/14 + 4/14). 6 Let j(l) = 3*l**2 - 14*l + 3. Let h be j(15). Calculate the remainder when (-375)/(-13) + 9/(h/8) is divided by 15. 14 Let t be ((-5)/2)/((-2)/204). What is the remainder when t/5 + (-1 - -3) is divided by 19? 15 Let s(g) = -2*g - 3. Let v be 1/((-2)/12*1). What is the remainder when (62/12 - (-2)/(-3))*520/90 is divided by s(v)? 8 Suppose -4*a + 3*z - 3 - 13 = 0, -5*z = -20. Calculate the remainder when (-8*(-2 - a))/((-53)/(-424)) is divided by 13. 12 Calculate the remainder when (-154251)/(-189) - ((-2)/7)/(-2) is divided by 39. 36 Suppose v + 2*i - 200 = 0, -5*i - 368 = -5*v + 677. Calculate the remainder when v is divided by 69. 68 Let y be -9 - (-4)/(-2 - 0). Let t = y + 3. What is the remainder when 2*4/t - -38 is divided by 13? 11 Let q = 159 - 145. Suppose 160 = 4*z + q*j - 10*j, -2*z + 100 = -2*j. Calculate the remainder when 178 is divided by z. 43 Let h = -10 - -10. Suppose h = -p + 5*p. Suppose p = 3*c - 40 + 1. What is the remainder when 38 is divided by c? 12 Let x(m) = -2*m - 7. Let t be 21/(-5) + 3/15. Let u be x(t). Suppose -s + 14 = u. Calculate the remainder when 25 is divided by s. 12 Let a be 0 - 12*1 - 2. Let o = -11 - a. Suppose -6*j + 11*j + 5 = h, o*j - 81 = -5*h. Calculate the remainder w
{ "pile_set_name": "DM Mathematics" }
5 of a week? 2688 How many millilitres are there in three tenths of a litre? 300 Convert 5590.827 millennia to years. 5590827 How many minutes are there in 17/6 of a day? 4080 What is 20/9 of a hour in seconds? 8000 What is 11/4 of a day in hours? 66 How many grams are there in 0.0807452 milligrams? 0.0000807452 What is three fifths of a microgram in nanograms? 600 What is 51254.01 kilograms in nanograms? 51254010000000000 What is 5/4 of a hour in seconds? 4500 How many centimeters are there in 0.5472685km? 54726.85 How many centimeters are there in 59219.7 nanometers? 0.00592197 How many millimeters are there in 73/4 of a meter? 18250 What is 21/4 of a meter in millimeters? 5250 What is five eighths of a litre in millilitres? 625 How many millilitres are there in fourty-three quarters of a litre? 10750 How many kilometers are there in 0.8163655cm? 0.000008163655 How many years are there in 2278.8999 months? 189.908325 What is 1.2942882 minutes in days? 0.00089881125 What is 95.992128ms in days? 0.00000111102 What is 1/10 of a litre in millilitres? 100 How many millennia are there in 835.9215 months? 0.069660125 What is 6/5 of a litre in millilitres? 1200 Convert 18.20444mm to micrometers. 18204.44 Convert 582.9469l to millilitres. 582946.9 How many millilitres are there in 95577.06l? 95577060 What is thirty-one halves of a century in years? 1550 Convert 386.19l to millilitres. 386190 Convert 922.7178 decades to millennia. 9.227178 What is 463.9132 days in minutes? 668035.008 What is three fifths of a century in months? 720 Convert 17.626683s to minutes. 0.29377805 How many nanograms are there in 3/50 of a milligram? 60000 How many decades are there in 203114.4 months? 1692.62 How many micrometers are there in three tenths of a millimeter? 300 What is 2.4371 microseconds in nanoseconds? 2437.1 What is three eighths of a microgram in nanograms? 375 Convert 0.2354275 nanoseconds to seconds. 0.0000000002354275 What is 29.73595ug in nanograms? 29735.95 How many months are there in 4/3 of a century? 1600 What is 32/5 of a litre in millilitres? 6400 Convert 223275.6 kilograms to tonnes. 223.2756 Convert 1.69474ml to litres. 0.00169474 How many years are there in 51/5 of a century? 1020 How many millilitres are there in 81/2 of a litre? 40500 How many minutes are there in 1/4 of a week? 2520 How many microseconds are there in seven halves of a millisecond? 3500 How many months are there in 3/32 of a millennium? 1125 What is 5.535679 centuries in decades? 55.35679 What is twenty-one halves of a kilogram in grams? 10500 How many minutes are there in one ninth of a week? 1120 What is 3/32 of a tonne in grams? 93750 What is seven sixths of a year in months? 14 How many years are there in 671.6348 millennia? 671634.8 How many days are there in two sevenths of a week? 2 What is 7/4 of a litre in millilitres? 1750 What is 0.4086174 decades in months? 49.034088 How many seconds are there in 795.837 hours? 2865013.2 How many decades are there in 3/25 of a millennium? 12 How many millimeters are there in 6/25 of a meter? 240 What is 9.284378 kilograms in grams? 9284.378 What is 1/16 of a kilogram in milligrams? 62500 What is 1/10 of a kilogram in milligrams? 100000 How many nanograms are there in 21/2 of a microgram? 10500 How many kilometers are there in 7411.484 nanometers? 0.000000007411484 What is 1/10 of a millisecond in nanoseconds? 100000 What is 7/6 of a century in months? 1400 What is 1/5 of a hour in minutes? 12 What is one quarter of a week in minutes? 2520 What is 9/10 of a kilometer in centimeters? 90000 What is 2408.331 days in hours? 57799.944 How many nanometers are there in 70986.55cm? 709865500000 Convert 8800.635mm to kilometers. 0.008800635 How many kilograms are there in 29/2 of a tonne? 14500 What is 7.331983ml in litres? 0.007331983 How many millilitres are there in twenty-one halves of a litre? 10500 What is 6172.027 decades in months? 740643.24 What is 1/20 of a minute in milliseconds? 3000 What is 7/6 of a week in hours? 196 What is 67/5 of a meter in centimeters? 1340 How many litres are there in 0.1919103 millilitres? 0.0001919103 How many meters are there in twenty-one eighths of a kilometer? 2625 What is 3.42947 tonnes in milligrams? 3429470000 What is 238.00017 months in years? 19.8333475 What is 3.750564m in kilometers? 0.003750564 What is 95.4191 hours in minutes? 5725.146 How many kilometers are there in 5.937262m? 0.005937262 What is fifteen quarters of a litre in millilitres? 3750 What is 15/4 of a century in months? 4500 What is 3/25 of a micrometer in nanometers? 120 How many litres are there in 9.814172ml? 0.009814172 How many meters are there in fourty-three halves of a kilometer? 21500 How many centuries are there in 55/2 of a millennium? 275 What is 1/5 of a minute in milliseconds? 12000 Convert 1011.389m to nanometers. 1011389000000 How many meters are there in 29/2 of a kilometer? 14500 What is 7404.885 months in years? 617.07375 How many seconds are there in 0.7178249 days? 62020.07136 What is 5/4 of a century in months? 1500 How many hours are there in 39335.085 milliseconds? 0.0109264125 How many milliseconds are there in 0.4109198 nanoseconds? 0.0000004109198 What is 881141.1g in micrograms? 881141100000 How many months are there in 7.076659 centuries? 8491.9908 How many months are there in one quarter of a year? 3 Convert 866326.4 centuries to years. 86632640 Convert 3554.695 decades to centuries. 355.4695 How many minutes are there in 107.93019s? 1.7988365 How many decades are there in 3.30924 centuries? 33.0924 What is five eighths of a gram in milligrams? 625 How many millilitres are there in eighty-nine halves of a litre? 44500 What is 1/4 of a millimeter in micrometers? 250 Convert 5.10224kg to grams. 5102.24 What is five quarters of a tonne in kilograms? 1250 How many millilitres are there in eighty-eight fifths of a litre? 17600 Convert 7919.389ml to litres. 7.919389 Convert 322117.1 weeks to minutes. 3246940368 What is 0.2963443mg in kilograms? 0.0000002963443 How many years are there in 46/5 of a millennium? 9200 What is fifteen quarters of a milligram in micrograms? 3750 How many nanometers are there in 0.1234545km? 123454500000 What is 4.682706l in millilitres? 4682.706 How many micrometers are there in 6/5 of a centimeter? 12000 How many months are there in 9/10 of a millennium? 10800 How many micrograms are there in 17/4 of a milligram? 4250 How many nanometers are there in 8898.148 meters? 8898148000000 Convert 14806.0647 hours to weeks. 88.1313375 How many millilitres are there in 37/2 of a litre? 18500 Convert 45.93642ug to tonnes. 0.00000000004593642 How many millilitres are there in 7/2 of a litre? 3500 What is twenty-one halves of a litre in millilitres? 10500 What is 13.33492s in milliseconds? 13334.92 What is 4719.485 millilitres in litres? 4.719485 How many millilitres are there in 3/10 of a litre? 300 What is one tenth of a kilogram in milligrams? 100000 What is fifty-nine quarters of a decade in months? 1770 What is seven halves of a millimeter in micrometers? 3500 What is one twentieth of a kilogram in milligrams? 50000 How many millilitres are there in 1/5 of a litre? 200 How many months are there in one quarter of a millennium? 3000 How many millilitres are there in eleven halves of a litre? 5500 How many hours are there in eight thirds of a day? 64 How many millilitres are there in 48267.06 litres? 48267060 Convert 28740.07l to millilitres. 28740070 How many millimeters are there in 7229.04 micrometers? 7.22904 What is 77/5 of a micrometer in nanometers? 15400 What is 4.909664 millilitres in litres? 0.004909664 How many millilitres are there in 27/5 of a litre? 5400 What is 1/80 of a day in seconds? 1080 What is 9299.619 millennia in centuries? 92996.19 What is 8/15 of a minute in milliseconds? 32000 What is 5/8 of a tonne in kilograms? 625 How many seconds are there in 980482.2 days? 84713662080 How many months are there in 3.467632 years? 41.611584 What is 0.4003638 millennia in months? 4804.3656 What is three tenths of a kilometer in centimeters? 30000 How many millimeters are there in 0.6180127m? 618.0127 What is fifty-one fifths of a litre in millilitres? 10200 How many nano
{ "pile_set_name": "DM Mathematics" }
447. 4/447 -433 divided by -40 433/40 -2 divided by 43 -2/43 What is -7 divided by 1? -7 Divide -8565 by -571. 15 What is -306 divided by 2? -153 What is -77 divided by -22? 7/2 Divide 9 by 561. 3/187 Calculate 291 divided by -291. -1 21 divided by -962 -21/962 Calculate -1980 divided by 12. -165 Divide 4154 by -4154. -1 832 divided by -16 -52 Divide -13 by -13. 1 -5 divided by -33 5/33 Calculate 3 divided by -534. -1/178 What is 15 divided by 1? 15 Divide -3416 by 427. -8 Calculate -41 divided by 1. -41 Calculate -438 divided by 73. -6 -1766 divided by -5 1766/5 -3256 divided by -44 74 -772 divided by 386 -2 What is 370 divided by -2? -185 Calculate 23 divided by 24. 23/24 Divide -3681 by 3681. -1 Calculate 13212 divided by 367. 36 Divide 7 by 40. 7/40 Calculate -66 divided by -61. 66/61 Calculate -2950 divided by -590. 5 508 divided by 4 127 What is 8226 divided by -2? -4113 Divide -62 by -333. 62/333 Divide -120 by -15. 8 -1008 divided by 28 -36 Divide 183 by 2. 183/2 What is 8 divided by 183? 8/183 Calculate -21 divided by -36. 7/12 23 divided by -7 -23/7 488 divided by 244 2 What is 2580 divided by -60? -43 Calculate -1394 divided by -697. 2 Divide -38 by 10. -19/5 Calculate 0 divided by 364. 0 Divide 3 by 643. 3/643 Divide -151 by -6. 151/6 Calculate -5056 divided by -1264. 4 1786 divided by -47 -38 What is 289 divided by -1? -289 What is 519 divided by 3? 173 Calculate -2 divided by -5582. 1/2791 Calculate -21 divided by 5. -21/5 Divide -114 by 2. -57 What is 1416 divided by -4? -354 5 divided by -2665 -1/533 Divide 1 by 302. 1/302 Divide -2630 by 1. -2630 What is 2164 divided by 2? 1082 Divide 1 by 78. 1/78 Calculate 5820 divided by 582. 10 -1040 divided by -104 10 What is 902 divided by -2? -451 Divide -653 by -3. 653/3 What is -489 divided by -489? 1 Divide -5 by 92. -5/92 Calculate -12440 divided by -5. 2488 Divide -110 by -15. 22/3 What is -13776 divided by 656? -21 Divide -47 by 6. -47/6 352 divided by 176 2 Calculate 1268 divided by 3. 1268/3 Calculate 12 divided by -42. -2/7 Divide 23 by -2. -23/2 0 divided by 150 0 -344 divided by 86 -4 -119 divided by 5 -119/5 Divide 2632 by -7. -376 Calculate -525 divided by -105. 5 Calculate 336 divided by 4. 84 Calculate -197 divided by -15. 197/15 Divide -182 by -6. 91/3 Calculate -5224 divided by -4. 1306 Calculate -26436 divided by -6. 4406 Calculate -24252 divided by -4042. 6 422 divided by -2 -211 88 divided by -22 -4 What is 44 divided by 44? 1 What is 4 divided by -790? -2/395 What is -2 divided by 234? -1/117 What is -5 divided by 58? -5/58 Divide 4850 by -5. -970 2 divided by 26 1/13 What is -2765 divided by -35? 79 Calculate 323 divided by -1. -323 Calculate 7 divided by -1594. -7/1594 Divide -1 by -1182. 1/1182 -832 divided by 55 -832/55 Divide 1031 by 3. 1031/3 -9899 divided by 3 -9899/3 Calculate 5 divided by -47. -5/47 Calculate -20116 divided by 4. -5029 Divide 4810 by 370. 13 374 divided by 22 17 Calculate 243 divided by 81. 3 What is 3744 divided by 208? 18 -1 divided by 13 -1/13 413 divided by 59 7 -4 divided by 2236 -1/559 -6 divided by -2 3 -9310 divided by -931 10 Calculate 1100 divided by -50. -22 -126 divided by -3 42 Divide -4 by 44. -1/11 Divide -152 by 14. -76/7 Calculate 24 divided by 3. 8 Divide 0 by 137. 0 What is -25 divided by -11? 25/11 Divide 0 by 58. 0 What is 1552 divided by -1? -1552 Calculate 585 divided by 2. 585/2 What is 1210 divided by 2? 605 Calculate -660 divided by -12. 55 What is 4848 divided by 6? 808 477 divided by -53 -9 What is -429 divided by 33? -13 What is 1053 divided by -16? -1053/16 Divide 390 by 5. 78 Divide -4 by 4. -1 Divide 8264 by -4. -2066 Divide -1320 by 5. -264 What is 114 divided by -1? -114 Calculate -878 divided by 439. -2 What is -16245 divided by -5415? 3 344 divided by 86 4 Calculate -999 divided by 999. -1 Divide -295 by -4. 295/4 Divide -510 by 102. -5 0 divided by -6 0 What is -11204 divided by -2801? 4 Divide 0 by 369. 0 -1766 divided by 2 -883 Calculate 2 divided by 371. 2/371 Divide 780 by -260. -3 Calculate -20 divided by 65. -4/13 What is -1035 divided by 115? -9 What is -195 divided by 65? -3 What is 27662 divided by -4? -13831/2 What is 15408 divided by -1284? -12 What is 0 divided by -378? 0 What is -139 divided by 139? -1 Calculate 39393 divided by -4. -39393/4 Calculate -1448 divided by -1. 1448 Calculate 9486 divided by 62. 153 What is -1853 divided by 12? -1853/12 Calculate 14 divided by 575. 14/575 Calculate -777 divided by 4. -777/4 Divide -28 by -32. 7/8 Calculate -9 divided by 4. -9/4 What is -4434 divided by -739? 6 Calculate -2205 divided by 441. -5 Divide -2 by -744. 1/372 Divide -263 by 8. -263/8 -5 divided by 24 -5/24 Calculate 4 divided by -59. -4/59 Divide -286 by -286. 1 What is -5 divided by -409? 5/409 -152 divided by -40 19/5 Divide -202 by -120. 101/60 17520 divided by 3 5840 -201 divided by 11 -201/11 What is -161 divided by 1? -161 Divide 7245 by -5. -1449 -92 divided by -19 92/19 651 divided by -21 -31 Calculate 10 divided by -55. -2/11 Calculate 138 divided by -3. -46 What is -1 divided by -1533? 1/1533 Calculate 4110 divided by -10. -411 29 divided by -42 -29/42 Divide 200 by 53. 200/53 -2028 divided by 3 -676 -20392 divided by 4 -5098 Divide -18 by -3. 6 Divide 581 by 2. 581/2 Calculate 168 divided by -6. -28 Divide -3513 by 1171. -3 36965 divided by 5 7393 1 divided by -158 -1/158 Divide 8394 by -6. -1399 785 divided by 6 785/6 What is 4 divided by 691? 4/691 Divide -55 by -6. 55/6 What is 2 divided by 1480? 1/740 Divide 748 by 4. 187 Divide 11990 by -1090. -11 Divide -89 by -12. 89/12 Divide -17 by 2. -17/2 Calculate -14056 divided by -14. 1004 Calculate -12335 divided by -5. 2467 Divide -54 by 27. -2 -830 divided by -1 830 Calculate -180 divided by -1. 180 Divide 718 by 1. 718 Calculate -3525 divided by -141. 25 What is 25516 divided by -1? -25516 What is -65 divided by -13? 5 What is -19 divided by 28? -19/28 Divide -1725 by 345. -5 Divide 49 by 7. 7 Divide -354 by -1. 354 What is 78 divided by 1? 78 Divide -1122 by -3. 374 Divide 22695 by -4539. -5 Calculate -3 divided by 250. -3/250 Calculate 0 divided by -137. 0 Calculate 4011 divided by -3. -1337 Calculate -7 divided by -15. 7/15 What is -55 divided by 11? -5 Divide 2040 by 40. 51 Divide -33 by 11. -3 Calculate -66 divided by 6. -11 Divide 286 by -143. -2 Divide -208 by -52. 4 -8 divided by -93 8/93 29 divided by -3 -29/3 Divide -1 by 136. -1/136 -126 divided by 6 -21 Calculate 140 divided by 5. 28 -7 divided by 339 -7/339 What is 7 divided by -135? -7/135 What is -37 divided by -79? 37/79 Calculate 144 divided by -2. -72 What is 400 divided by 5? 80 What is -51 divided by 2? -51/2 Divide -6 by 26. -3/13 Calculate 69 divided by -69. -1 What is 6095 divided by -1219? -5 What is 19805 divided by 3? 19805/3 Calculate 64 divided by -8. -8 Calculate -5 divided by 5. -1 -962 divided by -1 962 -714 divided by -357 2 Divide -5 by -4222. 5/4222 -156 divided by 156 -1 What is 2 divided by -99? -2/99 What is -59 divided by -7? 59/7 0 divided by 48 0 -156 divided by -4 39 What is -694 divided by -2? 347 5169 divided by -3 -1723 2 divided by 3072 1/1536 2 divided by 192 1/96 0 divided by 46 0 What is 112 divided by 4? 28 -19894 divided by 98 -203 Calculate -8450 divided by 13. -650 What is -862 divided by 7? -862/7 What is 38 divided by 690? 19/345 What is 0 divided by 683? 0 Calculate 46 divided by 99. 46/99 Divide 438 by 146. 3 What is 15884 divided by 44? 361 305 divided by -31 -305/31 Divide 1 by 2770. 1/2770 Calculate 0 divided by -234. 0 -179 divided by 1 -179 -40 divided by 43 -40/43 What is 235 divided by 5? 47 Calculate -298 divided by -298. 1 Divide 46 by -23. -2 What is -456 divided by -114? 4 Calculate 5 divided by 13. 5/13 Calculate -39 divided by -1. 39 Divide -7 by 7. -1 What is 147 divided by 61? 147/61 What is 112 divided by -19? -112/19 Calculate -18955 divided by 1115. -17 Calculate -7 divided by -1. 7 Divide -85 by -4. 85/4 -92 divided by -92 1 68 divided by -2 -34 What is 4635 divided by -5? -927 Calculate -7 divided by -258. 7/258 Divide 53 by 24. 53/24 -1 divided by -79 1/79 522 divided by -2 -261 Calculate -102 divided by 51. -2 What is -3 divided by 27? -1/9 87 divided by 3 29 What is -846 divided by -3? 282 -37
{ "pile_set_name": "DM Mathematics" }
t d(y) = y**2 - 7*y + 2. Let f be d(6). What is the third smallest value in 5/3, f, t? 5/3 Let q = -27 + 27.21. Let i = q + -0.11. Which is the third smallest value? (a) -2/5 (b) 0.5 (c) i b Let r = 57 - 40. Suppose -r = -3*d - 2. Let o = -1 + d. Which is the third smallest value? (a) o (b) 2/7 (c) 1 a Let j = 244 - 243.9. What is the third smallest value in 25, -0.4, j? 25 Let x = 0.85 - 0.05. Let p = -0.2 - x. What is the smallest value in 1/2, 2, p? p Let f be (2/(18/(-1915)))/(2/(-2)). Let u = f + -213. Let i = 0.6 - 0.1. What is the third biggest value in -0.2, i, u? u Let h = -66 + 65.9. Which is the smallest value? (a) h (b) 1 (c) 16/5 a Let y = 17 - 12. Let q = 15 - 21. Let z = q + y. What is the second biggest value in z, -2/13, 1/8? -2/13 Let g = 1/288 + 61/864. What is the second smallest value in -3, -4, g? -3 Let v = 8 + -12. Let d(w) = 22*w. Let s be d(-1). Let p be (-2)/s*24 + -2. What is the third biggest value in v, p, 1/4? v Let a be 96/(-144) + 1 + (-17)/6. Let p = 4 + -4.1. What is the second biggest value in a, p, -4? a Let j = 28 - 30. Let x = -13 - -12.7. Let i = -2 - -2. Which is the second biggest value? (a) x (b) j (c) i a Let t = -58 - -49. Let o be (1 + t/10)*(-29 + 25). Which is the biggest value? (a) o (b) 0 (c) -1.2 b Let d = 288 - 278. Let j = -129.7 - -120. Let k = d + j. Which is the third smallest value? (a) 14 (b) k (c) 0.2 a Let b = -0.0921 + 2.0921. Let t = -9 + 6. Let w be (-7)/4 - (-4)/2. What is the second biggest value in w, t, b? w Let m be 1 - (-7 - (-154)/12). Which is the second biggest value? (a) m (b) 4 (c) -2 c Let w(z) = z**3 + 6*z**2 + 3*z - 7. Suppose l = -2*m + 3, 6 = -2*l + m - 2*m. Let r be w(l). Let x = -8 - -5. What is the biggest value in x, r, 1? r Let u be 0/((-8)/((-12)/6)). Which is the third biggest value? (a) u (b) -74/7 (c) 0.5 b Suppose 24*a = 33*a - 9. What is the biggest value in -0.32, -3, a? a Let l be (6/7)/((-60)/420). Which is the second biggest value? (a) -0.01 (b) l (c) -1 c Let l = 0.2 + -0.2. Let q be (-184)/44 - ((2 - -6 - 5) + -7). Which is the biggest value? (a) q (b) 3/5 (c) l (d) 4 d Let x = -1175 + 1176. What is the second biggest value in 5, -1.5, x, 2/11? x Let c be (-63)/175*(-10)/6. What is the third smallest value in c, 4, -2? 4 Let f = -1.048 + 1.148. Which is the second biggest value? (a) f (b) -7 (c) -0.05 c Let k = -221 + 221. Suppose 4*j = -4*n + 20, n + 0*j + 4*j - 8 = k. Let w = -0.3 - -5.3. What is the third smallest value in n, 0.3, w? w Let x = 636 + -636.1. Which is the biggest value? (a) 1/5 (b) x (c) 0.19 a Let g(i) = -i**2 + 2*i - 1. Let y be g(-3). Let n be (20/y)/(6/(-8)). Let x be 1 + -3 + 3 + -2. Which is the third smallest value? (a) n (b) x (c) -2/7 a Let t = 0.0122 + 3.9878. Which is the second biggest value? (a) -2/5 (b) 0 (c) t (d) 21 c Let q be (4/(-10))/(240/(-225)). What is the smallest value in -0.4, 2, q, 0.1? -0.4 Let j = 201.2 - 238. Let g = j - -37. Let n = -3.05 - -0.05. Which is the biggest value? (a) n (b) g (c) -2 b Let c = 11 + -11.4. Let p = -3 + 11. Let a = 13 - p. What is the biggest value in c, a, -0.3? a Let u = -125/3 - -43. Which is the smallest value? (a) 5 (b) u (c) -11 (d) 1 c Let j = -1/15 + 2/5. Let l = -101 - -57. Let s = l - -44.02. What is the second biggest value in s, j, -2/13? s Let l = -671 + 655. What is the biggest value in -1/2, 5, l? 5 Let f = -330 + 325. Which is the second smallest value? (a) 111 (b) -1/6 (c) f b Let k = 87 - 699/8. What is the third biggest value in 4, 2/17, 1, k? 2/17 Suppose 4*n = -6 + 2. Let b = 0 + -5. What is the second smallest value in b, n, -6? b Suppose -26 = 4*k + 2*d, -5*d - 35 = 3*k + 2. Which is the third biggest value? (a) k (b) 5 (c) 1.1 a Let i = -0.8 - 0.2. Let y = -0.01302 + 3.01302. What is the smallest value in i, y, 8? i Let b = 276 - 276. What is the fourth biggest value in -3, -1/7, 4, b? -3 Suppose -2*n + 6 = 2*x, -3*n = 2*n + 3*x - 17. Let k be (-1 - 1)*16/(-32). Which is the second biggest value? (a) k (b) n (c) -3 a Let g = 153 + -156. Let y = 0.5 - -0.5. Let f = g - y. Which is the biggest value? (a) f (b) 1 (c) -1/18 b Suppose -5*o + 10 = -3*l - 9, 3*o - 2*l = 11. What is the smallest value in 0.4, 0.075, o? 0.075 Suppose -4*o = -o + 9. Let l = 8389/13 - 646. Let p = l + -21/26. Which is the biggest value? (a) p (b) -4/5 (c) o b Let p(w) = 3*w - 38. Let n(r) = r - 19. Let y(s) = 7*n(s) - 3*p(s). Let c be y(-8). What is the second smallest value in 2/9, c, -5? c Let i be 3/(-15) - ((-188)/140 - -1). What is the third biggest value in -0.4, -2.1, i, -1? -1 Let v be 6/10 + (-98)/210. Let z be 4 + -15*(-6)/(-21). Which is the third smallest value? (a) v (b) z (c) -2/77 a Let l(o) = -3*o + 20. Let w(g) = -8*g - 32. Let k be w(-5). Let q be l(k). Which is the third biggest value? (a) 5 (b) 2 (c) 3 (d) q b Let p be ((-14)/21)/(((-52)/(-6))/(-2)). What is the third biggest value in 0.3, p, -1/2, 13? p Suppose 9 = 4*o - o. Let c = o - 2. Let b(z) = z**2 - 2. Let j be b(0). What is the third biggest value in c, 0.1, j? j Let n(f) = -f + 9. Let v = 20 + -10. Let b be n(v). Let j = 0.03 + -6.03. What is the biggest value in -3/5, b, j? -3/5 Let w = -0.8 + 0.3. Let i = 4737 - 42631/9. Let l = 0.6 + -0.2. What is the third biggest value in i, w, l? w Let u = 25 - 24.7. Which is the second biggest value? (a) 4/3 (b) 5 (c) u (d) 0.5 a Let x be 48/60 + (-2)/10. Let t = 6/61 + 202/427. What is the biggest value in t, x, 2/5? x Let g = 30 - 27. Let o(s) = 2*s. Let n be o(1). Let x be 2/(-19) + 0/n. Which is the second smallest value? (a) 0 (b) x (c) g a Suppose -5*a = -3*m + 3 + 197, -4*a + m - 167 = 0. Let r = -24 - a. Let l = r - 75/4. What is the biggest value in -1, 1, l? 1 Let l be (-4)/56*-38 + -3. Let q = 0.8 + -0.3. Let v = 1.5 - 1.3. Which is the second biggest value? (a) l (b) q (c) v c Let f be 1/3*(3 + 12). What is the third biggest value in f, -3.8, -1, -3? -3 Let n = -8083/10 + 809. Let i be 28*(-5)/(-50) + -2 + -1. Let r = n + i. Which is the third biggest value? (a) 3/5 (b) 0 (c) r b Let x be 6*40/36 - 10. What is the smallest value in x, 1, 1/9? x Let q(z) = z**2 + 11*z + 22. Let g be q(-3). Which is the third biggest value? (a) -3 (b) 3/7 (c) -0.38 (d) g d Let t = 57 + -69. Let z = 15 + t. Which is the second biggest value? (a) z (b) -2 (c) -0.3 c Let x = -2342 + 2343. Let u = 1.4 + 0.6. What is the second biggest value in -0.4, u, x? x Let u be -2*(-3)/(-12) + 11/44. What is the smallest value in -7, 15, u? -7 Let f = -8610 - -8614. Suppose 0 = -2*a + 3*a - 1. What is the second biggest value in f, a, -8? a Let v = -80 + 321/4. Let l = v + 1/4. What is the third smallest value in l, -8, -2/7? l Suppose 2*o - 3 - 5 = 0. Suppose f - 4 = -4*d, 0*d - o*f = 3*d + 10. Let i = 61/5 - 12. Which is the third smallest value? (a) i (b) -1/11 (c) d c Let h be ((-447)/63 + 7)*(6 + 0). Which is the smallest value? (a) h (b) 5/2 (c) -11/3 c Let i = -32 - -44. Let w = 0.6 - 2.6. Let d = 3.09 + 0.91. What is the second smallest value in w, i, d? d Let n be (-4)/(-7)*(0 + 12/16). Which is the fourth biggest value? (a) -7 (b) n (c) -5/2 (d) -1/3 a Let v = 401/13 + -31. Let d be (-4)/6*(4 + 12/6). Let x = 0.8 + -1.1. What is the third biggest value in d, x, v? d Let x = 91 - 90. Which is the fourth smallest value? (a) 1/2 (b) -2/11 (c) x (d) -0.4 c Let d = -1270.1 + 1267.1. Let o(z) = 2*z**2 + 6*z + 3. Let h be o(-4). Let j be 4/(-14) + h/63. What is the third biggest value in d, j, 0? d Let l = -62.7 + 56. Let u = 4.7 + l. Which is the fourth smallest value? (a) -31 (b) -5 (c) -4 (d) u d Let i be (-2 - 3)*1/(-1). Let f = -1278 + 1281. Let g = 2 + -1.9. Which is the third biggest value? (a) f (b) g (c) i b Let l = 0.009 + 20.991. Let m = l - 21. Which is the third smallest value? (a) m (b) -0.2 (c) -1 a Let i = -0.4 + -5.2. Let u = i + 5.3. Let c be (-16)/(-42) - 4/6. What is the biggest value in c, u, 2? 2 Let r = -9 + 12. Suppose 3*w = w + 4. Which is the second smallest value? (a) w (b) -1 (c) r a Let k = -30/13 - -32/13. Let j = 0.04 + 2.96. What is the third smallest value in k, 4/5, j? j Suppose 4 = 4*v - 8. Suppose -7 = -x + g + 5, 4*x - v*g
{ "pile_set_name": "DM Mathematics" }
What is the units digit of v? 5 Let f(q) = -11*q - 70. Suppose 4*m = -a + 4*a - 18, -3*m - 1 = 4*a. Let k(n) = 5*n + 36. Let s(j) = m*f(j) - 5*k(j). What is the units digit of s(22)? 6 Suppose -37*h = 2*p - 32*h - 15942, -h - 31818 = -4*p. What is the hundreds digit of p? 9 What is the units digit of (-13930)/(1/((-4)/(-20)*(-15)/3))? 0 Suppose -747*q - b = -744*q - 37775, b + 12593 = q. What is the tens digit of q? 9 Let v(b) = 1232*b**3 - 24*b + 129. What is the units digit of v(4)? 1 Suppose 4*f = -24, f - 42910 = -3*d + 43079. What is the thousands digit of d? 8 What is the tens digit of 93 + -99 + 29573/7 + 4/14? 1 Let t(c) = -2*c**3 - 11*c**2 + 5*c + 12. Let f be t(-9). Let q = 858 - f. What is the units digit of q? 4 Let x = 262 - 2. Suppose -2*i - u = -27, 2*u + 2*u + 52 = 2*i. Suppose -21*p = -i*p - x. What is the units digit of p? 2 Let g be (-987)/12 + (-1)/(-4). Let j be 4*(g/8 - -1). Let s = -25 - j. What is the units digit of s? 2 Suppose 0 = 6*w - 2*w - 32. Let r be 28/w*228/7. Suppose -10*a + r = -9*a. What is the units digit of a? 4 Let v(l) = -l**3 + 15*l**2 - 10*l + 12. Let m be v(8). Suppose -3*h + 1144 = 6*b - 2*b, -h - b = -m. What is the hundreds digit of h? 3 Let f be 1269/(-18)*(-3 - 1/(-1)). Suppose 145*p - f*p = 40. What is the units digit of (-46 - p)/((-2)/8)? 4 What is the tens digit of (-76)/(-19) - (3 + -1 + -2555)? 5 Let h be 7254/104 - 2/16*-2. Let f = 61 - h. What is the tens digit of (1 + 0)*f/(27/(-444))? 4 Suppose -7*c + 11*c = -32. What is the tens digit of (-71*1)/((-4 - c)/(-4))? 7 What is the units digit of 6 - ((-764 - 1) + 5 + -8)? 4 Let q = 351 + -352. What is the tens digit of (1*-65 - (-2)/q)*-7? 6 Let l be (35/(-10) - -3)*-1414. Let x = l - 238. What is the tens digit of x? 6 Let t(x) = 10*x**3 + 7*x**2 + 3*x - 23. Let y be t(6). What is the tens digit of y/5 - 76/190? 8 Suppose 5*n = -14*m + 9*m - 2955, 5*n - 3*m = -2995. Let b = 821 + n. What is the tens digit of b? 2 Suppose 0 = -3*t + 558 - 90. Let a = t + -87. What is the tens digit of a? 6 What is the ten thousands digit of (630768/120)/((40/(-25))/(-4))? 1 Let f = -1518 + 708. What is the units digit of 3/(f/(-202) + 16/(-4))? 3 Let p = -1922 + 1943. Suppose 0 = 3*q + m - 0*m - 61, -25 = -q - 5*m. Let h = p - q. What is the units digit of h? 1 Suppose -6 = -40*f + 37*f, 3*m + 4*f = 2771. What is the tens digit of m? 2 Suppose 5715 = -7*t + 34408. What is the units digit of t? 9 Let x(t) = t**2 - 11. Let v be x(4). Suppose -2*d + 4*u - 1040 = -6*d, v*d - 5*u - 1320 = 0. What is the hundreds digit of d? 2 Let o = 833 + -829. Suppose 4*u - 2*w = 1 + 19, 3*u + w = 15. Suppose 0 = k + o*r - 14, 120 = u*k - 6*r + r. What is the tens digit of k? 2 Let y be (-25)/(2 + 150/(-72)). Let z = y + -128. What is the units digit of z? 2 Let i(p) = -15*p**3 - 3*p**2 - 8*p + 21. Let g be i(3). Suppose -2*w - j = -0*w + 416, -j = 4*w + 830. Let v = w - g. What is the units digit of v? 8 Suppose -3*v = -3*o - 30, -37 = -5*o - 57. Let d(y) = 4*y**2 + 42*y + 9. What is the tens digit of d(v)? 0 Let b(x) be the first derivative of -13*x**2/2 - x + 5. Let a be b(-13). Let f = -16 + a. What is the tens digit of f? 5 Let b(j) = -5*j**2 - 3*j - 4. Let h be b(-1). Suppose 16 = -3*v - w, 7 = 2*v + w + 19. What is the tens digit of 1/(v/(-12))*(-94)/h? 4 Let w(s) = -2*s**2 + s - 5. Let j be w(6). Let x = 739 - 595. Let m = x + j. What is the tens digit of m? 7 Let n = -146 - -138. Let r(u) = -36*u - 6. What is the hundreds digit of r(n)? 2 Let i(h) = -20*h**3 - 31*h**2 - h + 11. What is the units digit of i(-13)? 5 Let h(d) = d**2 - 122*d + 8777. What is the thousands digit of h(0)? 8 Let k = -18530 + 30438. What is the hundreds digit of k? 9 Let y(h) = h**3 - 6*h**2 - 7*h - 4. Let i be y(7). Let x = 270 - 287. What is the tens digit of (0 - x)/(i/(-4))? 1 Let i(p) = 22*p + 22. Let a(l) = -l + 1. Let w(g) = 5*a(g) - i(g). Let n be w(-10). Suppose -148 = -3*v + 5*j + 97, j + n = 3*v. What is the units digit of v? 5 Let x(m) be the second derivative of -m**4/12 + 13*m**3/3 + 7*m**2 - 535*m - 3. Let z = -5 + 14. What is the hundreds digit of x(z)? 1 Suppose -4*m = b - 47064, -40*m - 23532 = -42*m + 4*b. What is the tens digit of m? 6 Suppose 5*h - 10 - 8 = -b, 0 = -3*b + 3*h. Let c = -1 + b. What is the units digit of 18 - 2*(-3)/c? 1 Suppose 0 = -97*s + 7556410 - 1320668. What is the hundreds digit of s? 2 Let c(b) be the third derivative of b**6/3 + b**5/4 - 7*b**4/6 + b**3/2 + b**2 - 5*b. What is the hundreds digit of c(2)? 3 Suppose -3*n - 7*y + 2*y = -4280, 20 = 5*y. Suppose 0 = 23*v - 28*v - n. Let q = v - -471. What is the hundreds digit of q? 1 Let b = -21039 + 36366. What is the units digit of b? 7 Suppose 94 = -0*q - 5*q + g, 14*q + 268 = -2*g. Let u be (76/(-6))/((-2)/(-6)). Let m = q - u. What is the units digit of m? 9 Let b(a) = -127*a - 14. Let g(v) = v**2 - 8*v + 5. Let w be g(7). Let f be b(w). Suppose -2*r - 4*x = 3*r - f, 161 = 3*r - x. What is the tens digit of r? 5 Let b(q) = -3442*q - 482. What is the hundreds digit of b(-4)? 2 Let i(q) = 2*q**2 + 9*q - 15. Let u be i(-6). Suppose -u*m + 3*p - 5238 = -8*m, m + 3*p - 1038 = 0. What is the units digit of m? 0 Let a(q) = 305*q - 167*q - 163*q + 47 - 20 + 3*q**2. What is the units digit of a(-9)? 5 Let q(l) = 61*l**2 - 12*l - 117. What is the tens digit of q(21)? 3 Let k(j) = 113 - 33 + 6431*j**3 - 32*j**2 - 6432*j**3 + 2*j. What is the tens digit of k(-32)? 1 Let q = 84 - 85. What is the tens digit of (-2794)/(-198) - (q - (-10)/9)? 1 Suppose -5*l + 10537 = 5*r - 5998, -r - 3 = 0. What is the units digit of l? 0 Let h(q) = q. Let m be h(11). Suppose 5*u = w + 63, -m*u = -7*u + 5*w - 62. What is the tens digit of u? 1 Let h = 1794 - 230. What is the tens digit of h? 6 Let f(k) = k**2 - 6*k - 44. Let o be f(11). Suppose -15*i = -o*i - 792. What is the tens digit of i? 9 Let a = -147 - -231. Suppose r = -r + a. Suppose -2*w + 1 = -2*l - 25, -4*w + 2*l = -r. What is the units digit of w? 8 Suppose 2*x + u = -5, -3*x = 2*u - 0*u + 9. What is the tens digit of 7/28*-5*(x + -1043)? 0 Let w(h) = -1500*h + 17. Let y be w(-4). Suppose -y = -38*i + 27*i. What is the units digit of i? 7 Let l = 663 - 270. Let y = l + 63. What is the tens digit of y? 5 Let h be (-531)/(-27) + 2*(-2)/(-12). Suppose -r = 4*r - h. Suppose -r*p - 9 + 1 = 0, 4*p + 160 = 2*l. What is the tens digit of l? 7 Let j = 15495 - 8608. What is the hundreds digit of j? 8 Let v = -65 - -75. Let s(a) = 5*a - 16 + 4*a + 8*a. What is the hundreds digit of s(v)? 1 Suppose 3*z + 3*j + 201 = -189, -3*z - 383 = -4*j. Let n = 159 + z. What is the units digit of n? 0 Let j(a) be the third derivative of a**4/24 + 40*a**3 + a**2. Let s be j(0). Suppose 996 = 14*u + s. What is the tens digit of u? 5 Suppose 259*m - 4636181 + 4538014 - 11543365 = 0. What is the tens digit of m? 4 Suppose 3*z = 6 + 9. Suppose -3*x + 279 = -3*t, -4*x + 298 = z*t - 38. Suppose -62 = -3*v + 3*o - 4*o, -4*v + 5*o + x = 0. What is the units digit of v? 1 Suppose 14*t = 11*t - 12. What is the hundreds digit of (7284/18)/(t/(-6))? 6 Let p be (-15)/(-40) - 1610/(-16). Let o be (-6)/(-15) - (-2)/(-5). Suppose -5*n - 5 = o, 5*z + 0*n - p = n. What is the tens digit of z? 2 Let a(n) = 9976*n**3 + 3*n**2 - 12*n + 10. What is the thousands digit of a(1)? 9 Let j(q) = 2831*q**2 + 8*q - 86. What is the hundreds digit of j(3)? 4 Let r = -12 + 17. Suppose -3*x + 5*b - 439 - 147 = 0, -r*x - 3*b - 1022 = 0. Let w = -120 - x. What is the tens digit of w? 8 Suppose 12 = 4*q - 2*t, 37*q + 5*t - 40 = 33*q. Suppose -3*v = 5*b - 5486, -q*v + 4*v + 1822 = -5*b. What is the tens digit of v? 2 Let b(w) = 445*w**3 - 4*w**2 + 35*w - 111. What is the tens digit of b(4)? 4 Suppose 1773 = c - m, m - 875 = -c + 900. Suppose 14*l - c = 2720. Suppose 4*r - 5*w - l = 0, -2*w + 9 = w. What is the units digit of r? 4 Suppose 3*b + 1439 = 8*b + 4*s, -b + 290 = 3*s. Suppose -q = -840 - b. What is the units digit of q? 7 Suppose -57586 - 142234 - 17904 = -79*c. What is the units digit of c? 6 Suppose 6*g = 2*g - 20. Let t(b) = -2*b - 4. Let n be t(g). Let k(w) = 2*w**3 - 11*w**2 + 16*w - 14. What is the hundreds digit of k(n)? 1 Suppose -19*z + 4*h = -21*z + 8938, 4*z - 3*h - 17920 = 0. What is the thousands digit
{ "pile_set_name": "DM Mathematics" }
? (a) -0.4 (b) -1 (c) m b Let k = -46 - -67. Let n = -20 + k. What is the second smallest value in n, -0.4, -4? -0.4 Let c = -5986/17 - -352. What is the biggest value in 3/8, c, 5? 5 Suppose 3*z - 2 + 5 = 0, -3*z = -4*o - 57. Which is the smallest value? (a) 0.1 (b) -4 (c) o c Let t = 0.05 - -0.35. Let d be -10*(-15)/6 + 3. Let w be 12/d*(-2)/(-2). Which is the third biggest value? (a) -0.1 (b) t (c) w a Let v = 2 + -2.1. Suppose -5*w + 0 + 120 = 2*p, -5*w = -5*p + 335. Let g be p/60 + 1/(-3). Which is the second biggest value? (a) v (b) 1 (c) g c Let l = -19 + 19.2. Which is the second smallest value? (a) -73 (b) -2/9 (c) l b Let s = -6.3 - -1.3. Let j = 1402 - 23849/17. Let c = 203/153 + j. What is the third biggest value in s, -2/11, c? s Let j = 136 - 140. Which is the biggest value? (a) 1/5 (b) -8 (c) j (d) 0 a Let k(d) = -d + 4. Let v be k(5). What is the smallest value in v, -4, -0.07? -4 Suppose h - 22 = -4*x - 2, 4*x - 2*h = 20. Suppose -3*m + 4*m - x*o = 21, -3*m = -o + 7. What is the biggest value in -0.3, 1, m? 1 Let m = -3 + 2.9. Let f = 5 - 7. Let z = f - 3. What is the third smallest value in m, z, 5? 5 Let u = 4 + -4.95. Let z = 45 + -44.95. Let q = u - z. Which is the biggest value? (a) -0.1 (b) q (c) 4 c Let z be (15 + -18)*1/(9 + -1). What is the fourth smallest value in 2, -1/4, z, 0? 2 Let d = 0.1 - 0. Suppose 0*a = 3*a + 6. Let s = 42 + -45. What is the third biggest value in d, a, s? s Let d = 0.01 + 5.99. Let w = d - 2. Let i = -0.5 - -0.3. What is the third biggest value in w, i, 5? i Let i be ((-6)/(-9))/((-6)/(-36)). Which is the second smallest value? (a) 3/4 (b) i (c) -3 a Let b = -0.4 - 0. Let q = -0.7 - b. Let o = 3 - 4. What is the third smallest value in q, -0.2, o? -0.2 Let j = -0.03 + -0.01. Let v = 35 - 36.04. Let n = j - v. What is the biggest value in 0.3, 2/7, n? n Let i = -20 + 24. Which is the fourth smallest value? (a) -1/2 (b) i (c) 7 (d) -4 c Let z be 3/(-5)*(-8)/36. Which is the second biggest value? (a) z (b) -3 (c) 0.4 a Let p = 6.5 + -6. Let w = -0.4 + p. Which is the second biggest value? (a) -0.2 (b) w (c) -0.3 a Let z = -0.58 - -0.08. What is the third biggest value in z, -0.1, -5? -5 Let q = -0.13 + 8.13. Let r = q - 7.97. What is the third smallest value in r, -3, 0.4? 0.4 Suppose 4*o + 18 = -4*x - 26, 3*x = -4*o - 39. What is the second biggest value in -5, o, 2/11? -5 Let p = 56.3 + -56. Which is the third smallest value? (a) p (b) -1/5 (c) 4 (d) 0.1 a Let s be ((-32)/(-24))/(14/3). What is the third smallest value in s, -4, -0.1? s Let k = 13 - 10. What is the second smallest value in -5, k, -0.2, -4/7? -4/7 Let u = -2 - -6. Let z = u - 3.5. Which is the third smallest value? (a) z (b) 5 (c) 1 b Let s = 65 - 62. What is the second smallest value in 6, s, 1? s Let j = 6 - 5.76. Let t = -0.04 + j. Which is the smallest value? (a) t (b) -4 (c) 0.3 b Let j = 7.03 - 0.03. Let c = j - 12. What is the third biggest value in -2/3, c, -1? c Let o = -38.95 + 42. Let v = 3 - o. Let z = -0.15 + v. Which is the smallest value? (a) -2/9 (b) z (c) -3 c Let c = -1.6 - -1.21. Let o = c + -0.11. Let a = -2.2 + 2. What is the second biggest value in o, -3, a? o Let w = 40 - 201/5. What is the fourth smallest value in -3/7, 0.7, -4, w? 0.7 Suppose 2*r + 4*m = 6, 2*r + 2*m - 6 = 4*r. Let j = -2.8 - 0.2. What is the smallest value in r, -0.1, j? j Let k = -0.7 - 4.4. Let o = -5 - k. Which is the smallest value? (a) o (b) -0.2 (c) -2/7 c Let u = -0.688 + 0.088. Let q = 1.3 - -3.7. Let k(d) = -d**3 - 5*d**2 + 6*d + 4. Let v be k(-6). Which is the smallest value? (a) v (b) q (c) u c Let p = -0.47 + -0.03. Which is the biggest value? (a) -4 (b) 0 (c) p b Let a be (-30)/8*4/(-10). What is the second smallest value in a, -2, 2? a Let p = -7 + 3. Let w = p + 3. Let m = 185/3 - 61. What is the second smallest value in w, m, -3? w Let d be -3*((-40)/(-21) - 2). Let f = 0.4 - 0.7. Which is the second biggest value? (a) f (b) 3 (c) d c Suppose 1 = -3*j + 2*u, 5*j - 10 = -u - 3. Let c be (0 - -2)/(-7 - -15). Let n = 4 - -1. What is the third biggest value in j, n, c? c Let j(b) = b**3 + 5*b**2 - 4*b + 7. Let q be j(-6). What is the third smallest value in 1, -0.2, q? 1 Let q = 7.011 + -0.011. Which is the second biggest value? (a) 5 (b) 3 (c) q a Let o = -1 + 1.07. Let l = -0.17 + o. What is the smallest value in l, 7, -2/17? -2/17 Let p = 1.5 - 2. Let u = 1 + -1.5. Let h = u - -0.3. Which is the third biggest value? (a) p (b) h (c) 2 a Let f = 22 - 21. Which is the third biggest value? (a) f (b) 2/19 (c) -0.1 (d) -7 c Let p = -1.3 - 2.7. Which is the biggest value? (a) 0 (b) p (c) -0.5 a Suppose 2*m - 5*r = 21 + 6, m = 2*r + 12. Let i be (-8)/m - 91/(-84). What is the third smallest value in -9, 2, i? 2 Let r = 0.9 - 0.86. Let k = r + 0.36. What is the biggest value in k, 2/17, 2/13? k Let a(q) = q**3 - 4*q**2 - 6*q + 6. Let o be a(5). Let j be (-4 - -2) + 0/(-7). What is the third smallest value in o, 0.4, j? o Let r = -0.62 + 4.62. What is the fourth biggest value in 1/2, r, 1, -1/9? -1/9 Let r = 3 + 0. Let a = 1214/7 - 173. What is the biggest value in -0.1, r, a? r Let q = -33 + 32.6. What is the third smallest value in q, 2, -3? 2 Let j be ((-4)/(-7))/2 + 0. Let o = 13 + -19. Let u = 5 + o. Which is the third biggest value? (a) u (b) 3/7 (c) j a Suppose 4 = -2*l - l - 2*q, 2*q = -2*l - 4. Suppose t = -l*t + 2. Which is the second smallest value? (a) t (b) -0.5 (c) -0.2 c Let s = -32 - -34. Let j = 51/125 + -1/125. What is the third biggest value in s, 0, j? 0 Suppose 0 = -3*a, -3*w + 6 = 6*a - 2*a. Suppose 4*q - z - 38 = 0, -6*z = -4*q - w*z + 44. Let t be -2*(q/(-5) - -2). What is the smallest value in -2, 1, t? -2 Let v = 1.4 - 0.8. Let j = -0.4 + v. What is the second smallest value in -0.1, 3, j? j Let f = -2 + 2.2. Let r be 80/(-198) + 28/(-36) + 1. Which is the third biggest value? (a) -3/4 (b) f (c) r a Let l = -0.4 - 0.6. Let m = 15.16 - 0.16. Let v = 15.2 - m. What is the second smallest value in l, v, -4? l Let f = -1/405 - -821/4455. What is the second smallest value in -1, -4, f? -1 Let q = -0.1 - 0.9. Let l = q - -0.6. Let c = l + -0.1. What is the smallest value in 5, -1/5, c? c Let i be (-3)/(-4) + 2 + (-27)/(-12). What is the second smallest value in -2/7, 4, i? 4 Let u = 5.4 - 5. Let v = 6 + -2. Let p = v - 4.1. What is the biggest value in p, u, -0.5? u Let v = 26.1 - 25. Let d = v + -6.1. What is the biggest value in 0.2, -3, d? 0.2 Suppose 11 = -4*b + 407. Let j = b + -692/7. What is the smallest value in -4, j, -1/4? -4 Let i be ((-224)/(-12))/(-4) - -4. Which is the biggest value? (a) i (b) -14 (c) -2/7 c Let i = -0.95 + 12.95. Which is the third smallest value? (a) i (b) 0.5 (c) -1 a Let g = 0.51 + -0.11. Let u = 0.1 + 0.5. Let o = -1 + u. What is the third biggest value in o, 2, g? o Let r be 2*(-1)/1 + -2. Let k = 0.12 + 0.28. Which is the third smallest value? (a) k (b) 0 (c) r a Let s = 70 + -66. Which is the second smallest value? (a) -0.1 (b) s (c) -3 (d) 0.1 a Let u = -5.09 + 0.09. Let n = u + 2. What is the third biggest value in 0.2, -5, n? -5 Let i be 10/(-20) + 7/22. Which is the second smallest value? (a) -2/5 (b) 2/9 (c) i c Suppose -4*q + 25 = 4*l - 5*l, -15 = 4*l + q. Which is the smallest value? (a) -0.1 (b) l (c) 1/4 (d) -8 d Let m = -4 + 5. Let u = -0.7 + m. What is the biggest value in -1/3, u, -0.5? u Let i be (-62)/36 - (-4)/18. Which is the second smallest value? (a) -2 (b) i (c) 0 b Let t = 28 - 24. Let a = -5.2 - -0.2. What is the second smallest value in t, a, -3? -3 Let u = 37/2 - 19. Let y = -12 + 6. Let r = y + 4. Which is the second biggest value? (a) u (b) 2 (c) r a Let a = -98 + 487/5. Let y = 1/135 + 53/135. What is the smallest value in 2, y, a? a Let g = 118/3 - 39. Let j = -0.1 + -0.2. Which is the smallest value? (a) 5 (b) j (c) g b Let n(l) be the first derivative of l**2/2 - 10*l + 13. Let i = 13 - 6. Let c be n(i). What is the biggest value in 0.4, 2/7, c? 0.4 Let s be 25/(-20)*(1 - -1). Let k = -3 + 6. Let v = 5/24 + 1/24. Which is the second smallest value? (a) s (b) k (c) v c Let l be (-13)/(-3) - 1 - 2. What is the third smallest val
{ "pile_set_name": "DM Mathematics" }
25*t**2 + 48*t + 40. Let q(v) = 3*v**2 + 6*v + 5. Let b(r) = -51*q(r) + 6*x(r). Factor b(j). -3*(j + 1)*(j + 5) Let u(n) be the second derivative of 5*n**7/42 - n**5/4 - 2*n. Factor u(l). 5*l**3*(l - 1)*(l + 1) Let n be (-6)/12 + 21/(-6). Let w be -5 - n - -1 - -3. Find v such that 0 - v**w - v**2 - 1/3*v - 1/3*v**4 = 0. -1, 0 Let r(k) be the third derivative of -k**9/25704 + k**8/14280 + 4*k**3/3 - 4*k**2. Let h(d) be the first derivative of r(d). Solve h(s) = 0. 0, 1 What is a in 2*a**4 + a**2 - 2 - 5*a**3 - 3*a**4 - 10*a**2 - a - 6*a = 0? -2, -1 What is w in -363*w - 4*w**3 + 363*w = 0? 0 Let u(k) = 9*k**3 + 9*k**2 + 6*k. Let b(i) = i**3 + i**2 + i. Let r(v) = -6*b(v) + u(v). Let r(d) = 0. Calculate d. -1, 0 Let o = 2/169 + 151/1521. Let c(m) be the first derivative of 1/9*m**6 - 1/6*m**4 + o*m**3 + 0*m**2 + 0*m - 1/15*m**5 + 1. Solve c(d) = 0. -1, 0, 1/2, 1 Let g(m) be the first derivative of -2 - 3/40*m**6 - 4/3*m**3 + 0*m - 3/2*m**2 - 7/6*m**4 - 1/2*m**5. Let v(x) be the second derivative of g(x). Factor v(c). -(c + 2)*(3*c + 2)**2 Suppose -i + 13 = -0*i. Suppose 0 = -3*q - 2*y + 14, -7 = -5*y + i. What is o in o - 5*o**2 + 3*o + 3*o**q = 0? 0, 2 Let 0 + 2/21*b**4 - 8/21*b**3 + 2/21*b**2 + 4/7*b = 0. What is b? -1, 0, 2, 3 Let a(z) = -27*z**5 + 195*z**4 - 528*z**3 + 648*z**2 - 340*z + 48. Let o(l) = 2 + l + 2 - 4. Let r(h) = -a(h) - 4*o(h). Factor r(k). 3*(k - 2)**3*(k - 1)*(9*k - 2) Let v(w) be the first derivative of 0*w - 2 + 0*w**4 + 0*w**3 + 0*w**2 - 1/5*w**5 - 1/6*w**6. Factor v(h). -h**4*(h + 1) Suppose -u + 5 = 5*b - 0*u, 4*u = -20. Factor 2 - 8 - 13*j + 4*j - 3*j**b. -3*(j + 1)*(j + 2) Let y be 1/(-4) + (-36)/16 + 4. Factor -3/2*w - y*w**2 - 1/2*w**3 - 1/2. -(w + 1)**3/2 Let q be (-2)/5 - (-749)/35. Suppose 8 = -4*r - v + 23, -q = -3*r - 4*v. Factor -1/3*z - 1/3*z**2 + 2/3*z**r + 0. z*(z - 1)*(2*z + 1)/3 Let d(j) be the third derivative of j**5/15 - j**4/4 - 3*j**2. Let m(y) = -2*y + 2*y - y + y**2. Let r(x) = d(x) - 6*m(x). Factor r(g). -2*g**2 Let f(k) be the first derivative of 0*k**2 - 1/18*k**3 + 1/30*k**5 + 0*k - 5 + 0*k**4. What is q in f(q) = 0? -1, 0, 1 Factor 0*i + 4/7*i**2 + 0 - 2*i**5 - 24/7*i**4 - 6/7*i**3. -2*i**2*(i + 1)**2*(7*i - 2)/7 Let y(q) = -q**5 - q**4 - q**3 + q - 1. Let j(p) = 3*p**5 + 13*p**4 - 12*p**3 - 30*p**2 + 7*p + 13. Let t(z) = j(z) - 2*y(z). Find x such that t(x) = 0. -3, -1, 1 Let m(q) be the third derivative of q**6/120 + q**5/15 + 5*q**4/24 + q**3/3 + 10*q**2. Factor m(f). (f + 1)**2*(f + 2) Let t = -9 - -9. Let z be (-2)/10*9 + 2. Factor z*a + t + 1/5*a**2. a*(a + 1)/5 Let m be 1/(-12) + 27/108. Let i(q) be the second derivative of 0*q**2 + m*q**4 + 0 + q - 1/3*q**3. Factor i(f). 2*f*(f - 1) Let t be (2/(-42))/(2/(12/(-2))). Let p(a) be the second derivative of -t*a**2 + 0 + 3*a + 2/21*a**3 - 1/42*a**4. Determine b, given that p(b) = 0. 1 Let d(n) be the first derivative of 0*n**4 + 0*n**2 + 2/15*n**5 - 2/9*n**3 + 0*n - 3. Factor d(a). 2*a**2*(a - 1)*(a + 1)/3 Let d(x) be the first derivative of -x**8/13440 + x**6/960 - x**5/480 - x**3/3 - 5. Let h(c) be the third derivative of d(c). Let h(m) = 0. What is m? -2, 0, 1 Let k(m) be the first derivative of -m**4/42 - 2*m**3/21 - 5*m + 4. Let c(z) be the first derivative of k(z). Factor c(b). -2*b*(b + 2)/7 Let 1 - 3*x + 33/2*x**3 - 23/4*x**2 - 35/4*x**4 = 0. Calculate x. -2/5, 2/7, 1 What is q in -6*q - q**2 - 5*q + 8*q - 4*q - 6 = 0? -6, -1 Suppose 0*a = 4*a - 24. Let b(o) be the second derivative of 2/27*o**3 - 2*o + 1/45*o**a + 4/45*o**5 + 7/54*o**4 + 0 + 0*o**2. Factor b(r). 2*r*(r + 1)**2*(3*r + 2)/9 Let a(c) be the third derivative of 0*c**3 - 1/210*c**6 + 1/588*c**8 + 2/735*c**7 + 0*c + 0 + 0*c**4 - 1/105*c**5 - c**2. Factor a(v). 4*v**2*(v - 1)*(v + 1)**2/7 Let k(b) = 7*b**2 - 2*b + 5. Let r(d) = -10*d**2 + 3*d - 7. Suppose -19 = -5*f + 16. Let o(u) = f*k(u) + 5*r(u). Factor o(t). -t*(t - 1) Factor -8/7*h**2 + 0 - 2/7*h**3 + 0*h. -2*h**2*(h + 4)/7 Factor 16/7 - 8/7*s - 12/7*s**2 + 2/7*s**4 + 2/7*s**3. 2*(s - 2)*(s - 1)*(s + 2)**2/7 Let k(r) be the first derivative of -2 - r**2 + 1/3*r**3 + 0*r. Solve k(u) = 0 for u. 0, 2 Let t(w) be the first derivative of 0*w**2 + 1/18*w**3 + 1 + 0*w. Let t(p) = 0. Calculate p. 0 Suppose 24*w + 6 = 21*w. Let z be ((-28)/(-105))/(w/(-20)). Factor 16/3*d**4 + z*d - 8/3*d**3 - 1/3 - 5*d**2. (d - 1)*(d + 1)*(4*d - 1)**2/3 Determine x so that 0 + 8/5*x - 56/5*x**2 + 98/5*x**3 = 0. 0, 2/7 What is t in -5*t**4 - 4*t**4 + 3*t**5 + 6*t**4 = 0? 0, 1 Factor -2*s + 26*s + 3*s**2 - 13*s + 7*s + 27. 3*(s + 3)**2 Let n = -9 - -13. Let u be 2 + (-3)/3 - 0. Factor -u - 3*i + 4*i**4 - 2*i**4 - i**2 + 3*i**3 + 0*i**n. (i - 1)*(i + 1)**2*(2*i + 1) Let n(s) = -8*s**4 + 20*s**3 + 21*s**2 - 10*s - 23. Let m(l) = -7*l**4 + 19*l**3 + 21*l**2 - 11*l - 22. Let v(a) = -5*m(a) + 4*n(a). Factor v(d). 3*(d - 6)*(d - 1)*(d + 1)**2 Let v(x) = 8*x**2 + 19*x + 11. Let h(o) = 12*o**2 + 29*o + 17. Let s(c) = -5*h(c) + 7*v(c). Factor s(r). -4*(r + 1)*(r + 2) Let t = 2/51 - -28/153. Determine l so that 0 - t*l + 2/9*l**3 + 0*l**2 = 0. -1, 0, 1 Let f(h) be the first derivative of 2*h**6/21 + 16*h**5/35 + 6*h**4/7 + 16*h**3/21 + 2*h**2/7 - 4. Factor f(d). 4*d*(d + 1)**4/7 Let x(i) = i - 1. Let w(s) = -5*s - 1. Let b be w(-1). Let q be x(b). Factor 4/5*h**2 + 2/5*h**q + 0 + 2/5*h. 2*h*(h + 1)**2/5 Suppose 0 = -2*z + 9 - 1. Factor p**z + 3*p**2 + p**2 - 5*p**2. p**2*(p - 1)*(p + 1) Let l(p) be the third derivative of p**5/60 - p**4/12 + p**3/6 - 5*p**2. Solve l(i) = 0 for i. 1 Find o, given that 8*o**4 + 18 + 97*o + 58*o**3 + 21*o - 16*o + 134*o**2 = 0. -3, -1, -1/4 Factor -6*k**2 - 5*k**3 - 3*k + 3*k**3 - k**3. -3*k*(k + 1)**2 Let w(d) = -d**2. Let b be w(-1). Let k = 3/2 + b. Factor 1/2*j**3 - 1/2*j + 1/2 - k*j**2. (j - 1)**2*(j + 1)/2 Let f be (1/(-5))/(((-72)/20)/6). Factor 1/3*i - f*i**2 + 0. -i*(i - 1)/3 Let f(b) = -b**4 + b**3 + 5*b**2 - 5. Let h(o) = o**2 - 1. Let w(x) = f(x) - 5*h(x). Determine v, given that w(v) = 0. 0, 1 Let h(x) = x**4 + x**3 + x**2 + 1. Let v(z) = 12*z**4 + 6*z**3 + 2*z**2 + 2*z + 10. Let y(b) = -8*h(b) + v(b). Factor y(w). 2*(w - 1)**2*(w + 1)*(2*w + 1) Factor 13*t - 5*t**2 - 3*t + 0*t. -5*t*(t - 2) Let q(x) = -2*x**2 + 19*x + 5. Let z(f) = f**2 - 10*f - 3. Let c(u) = 6*q(u) + 11*z(u). Factor c(i). -(i - 3)*(i - 1) Suppose 2 = o - 2. Let h(u) = u**3 - 4*u**2 - u + 9. Let k be h(o). Suppose -1/3*b**k - 2/3 - 1/3*b + 2/3*b**3 - 2/3*b**4 + 4/3*b**2 = 0. What is b? -2, -1, 1 Let n(r) = -r - 7. Let f be n(-9). Factor -6*d**f + 0*d**2 + 4*d**2 - 2*d**3 + 0*d**2 + 2*d**5 + 2*d**4. 2*d**2*(d - 1)*(d + 1)**2 Let f be ((-3)/(-27))/((-4)/(-6)). Let a(r) be the second derivative of -f*r**3 + 1/20*r**5 - 1/6*r**4 + r**2 + 0 + 2*r. Suppose a(k) = 0. What is k? -1, 1, 2 Let n(b) = b**2 - 7*b + 4. Let t be n(0). Determine c so that 0*c**3 + 0 + 0*c + 2/11*c**t - 2/11*c**2 = 0. -1, 0, 1 Let o(y) = -4*y**2 - 4*y - 10. Let r(a) = -a**2 - a - 1. Let b(m) = 2*o(m) - 12*r(m). Suppose b(d) = 0. What is d? -2, 1 Let n(w) be the third derivative of w**7/1470 - w**6/840 - w**5/210 + w**2 + 11*w. Find y, given that n(y) = 0. -1, 0, 2 Let g be 3 - 1 - (-18)/(-10). Let s(o) be the second derivative of 0 + 1/15*o**3 - g*o**2 - 2*o + 1/15*o**4. Factor s(q). 2*(q + 1)*(2*q - 1)/5 Let i = -131/10 - -31/2. Factor -16/5*a + 16/5*a**3 - 16/5 + 4/5*a**4 + i*a**2. 4*(a - 1)*(a + 1)*(a + 2)**2/5 Let q(u) = u + 11. Let t be (-58)/8 + 2/8. Let p be q(t). Factor p*d + 2*d**2 - d - d**2 + 2. (d + 1)*(d + 2) Let k(l) = 2*l - 4. Let c be k(6). Solve -2*m**3 - 51*m**4 - m**3 + 15*m**2 + 28*m**5 + 3*m + c*m**5 = 0 for m. -1/3, -1/4, 0, 1 Suppose 9*y - 21 = 2*i + 4*y, 4*y - 14 = 3*i. Factor -3*v**i - 4 + 4*v + v + 2*v**2 - v. -(v - 2)**2 Let g(n) be the first derivative of 3 + 1/132*n**4 - 2/33*n**3 + 0*n + 1/330*n**5 - 1/2*n**2. Let z(r) be the second derivative of g(r). Factor z(i). 2*(i - 1)*(i + 2)/11 Let h(w) = w + 2. Let a = 2 - 2. Let t be h(a). Factor 0*l**4 + 2/3*l**5 + 2/3*l - 4/3*l**3 + 0*l**t + 0. 2*l*(l - 1)**2*(l + 1)**2/3 Find b, given that 0 + 0*b - 3*b**2 - 6*b**4 - 3/2*b**5 - 15/2*b**3 = 0. -2, -1, 0 Let w(g) be the second derivative of -g**4/72 - g**3/18 - g**2/12 + 5*g. Let w(l) = 0. Calculate l. -1 Suppose -4*y = 17 - 5. Let k be 2*y/9*
{ "pile_set_name": "DM Mathematics" }
k - 2*k. Suppose 5 = 5*v - 4*u - t, -3*v + u = 4. Give i(v). -4 Let n(s) = -11*s**3 - s. Let j(l) = -65*l**3 - 61*l**2 + 53*l + 65. Let k(h) = j(h) - 6*n(h). Determine k(60). 5 Let m(l) = -7*l - 4167 + 1403 + 1397 + 1383. Calculate m(24). -152 Let u = 2 - 19. Let t(i) = 3*i - 47. Let x(k) be the second derivative of -k**3/6 + 8*k**2 + 602*k. Let q(z) = u*x(z) - 6*t(z). What is q(7)? 3 Let v(n) = n - 16. Suppose 4*t + 2*c = -0*c + 38, 2*c = 2*t - 34. Give v(t). -4 Suppose 152 - 91 = z. Let v(a) = 2 - 65*a - z*a + 125*a. Determine v(-7). 9 Let s(i) = i**3 + 7*i**2 + 6*i + 7. Suppose -z + 22 = -2*u, -7*z + 3*z - 4*u = -52. Let n = z + -22. Determine s(n). 7 Let o(a) = -4*a**3 + 80*a**2 - 17*a + 4. Let s(j) = -2*j**3 + 37*j**2 - 8*j + 2. Let c(x) = -6*o(x) + 13*s(x). Let v = -4 - -5. Give c(v). -1 Let f(p) = p - 3. Suppose 25 + 3 = 5*a - 2*b, 0 = 4*b - 4. Suppose -32 = -n + a. Let u = n + -34. What is f(u)? 1 Let x = 11 + -6. Let k(h) = -9*h**2 + 3*h**2 + 6 - 6*h + 12*h + 4*h**2. What is k(x)? -14 Let h be -15*(-4 + 60/9 - 3). Suppose 4*o + 18 = 2*b, 19 = -3*b + 5*b - h*o. Let t(x) = -2 + 7*x**2 + 4 - 7*x + x**3 + 5 - 13*x**2. What is t(b)? 7 Suppose 2 = 3*n - 7. Let l(z) = 973 - 489 + 8*z - 488. Give l(n). 20 Let c(g) be the third derivative of 35*g**4/24 - 2*g**3/3 - 3*g**2 - 148*g. Determine c(1). 31 Let u = 27 + -33. Let n(h) = 2*h + 27. Let w(c) = -c - 14. Let a(y) = u*n(y) - 11*w(y). Let o = -285 - -281. Determine a(o). -4 Let p(z) = 45*z - 9. Let h(k) = -22*k + 5. Let o(b) = -9*h(b) - 5*p(b). Suppose 16*i + 22 + 8 = 46. Give o(i). -27 Let x(q) = q**2 - q. Let y(p) = 6*p**2 + p - 3. Let m(s) = 2*x(s) - y(s). Suppose -5*l + 4*j = -30, 57*j + 10 = 55*j. Calculate m(l). -19 Suppose 4*v - 22*s - 666 = -20*s, -2*v - 3*s + 313 = 0. Let a = v + -158. Let b(i) = -i**3 + 4*i**2 + 5*i - 2. Determine b(a). -44 Suppose d - 4*d + 24 = 0. Let p(r) = -8*r - 171. Let q be p(-33). Let f(g) = 6*g - 9*g**2 + g**3 + 2*g - 80 - q + 184. Give f(d). 11 Let b(v) = -14*v**2 + 12*v - 3. Let p(f) = 20*f**2 - 18*f + 5. Let d(l) = 13*b(l) + 9*p(l). What is d(-5)? -14 Let i = 6 + -3. Let z(n) = 6*n + n**2 + i - 2*n**2 - 15*n. Let y be (-2 + 80/4)/(1 - 3). Calculate z(y). 3 Let v(f) = 14*f**2 + 4*f - 87. Let i(w) = 5*w**2 + 2*w - 37. Let d(o) = -7*i(o) + 3*v(o). Let a be -1 + 2 - (-1 + -1). Let h be a*((-2)/3)/(-1). What is d(h)? 22 Suppose -a - 5*y - 6 = a, -4*a + 2*y = -12. Suppose -42 = -17*d - 8. Let v(w) = -w + w**2 + 9 + w**a - 2*w**2 - w**d. Give v(0). 9 Let w(j) be the second derivative of 19*j**5/10 + j**3/6 - j**2 + 1324*j. What is w(1)? 37 Let w(f) = -42*f + 3. Let q(l) = 14*l - 1. Let p(v) = -17*q(v) - 6*w(v). Let b = -99 + 98. Determine p(b). -15 Let o be -4 - (3 + -7 + (-1 - 3)). Let l(j) = j**3 - 5*j**2 - j + 14. Let b be l(o). Let w(c) = c**3 + 5*c**2 - 7*c - 9. Calculate w(b). -3 Let p be 2*3*12/18. Suppose 22*r - 32*r = -250. Suppose -p*j + r = -7. Let n(v) = v. Calculate n(j). 8 Let a be (-4)/(-5)*30/12. Let b(c) = c - a + 24*c**2 - 31*c**2 + 9*c**2 - c**3. What is b(-2)? 12 Let m(x) = -x**2 - 8*x + 5. Suppose 1916 = 26*v + 2280. Give m(v). -79 Let g(i) be the third derivative of -5/24*i**4 + 2*i + 23*i**2 - 1/60*i**5 + 7/6*i**3 + 0. Give g(-5). 7 Let x(p) = 44*p**3 - p**2 + 2*p - 1. Let l be x(1). Let w = l + -40. Suppose -4*q = -w*z, -41 = 5*z - 16. Let g(o) = -2*o - 5. What is g(q)? 5 Let y(a) = -2*a + 5. Suppose -89 = -40*d - 9. Let s(x) = x - 1. Let l(k) = d*y(k) + 9*s(k). Determine l(7). 36 Let h(v) = 6*v + 232. Let n(x) = x**3 - 42*x**2 + 311*x + 249. Let d be n(32). Determine h(d). -2 Let c(v) = v**3 - 2*v**2 + 2*v + 1. Let l(k) = k**2 - 6*k + 7. Let x = 551 - 546. Let d be l(x). What is c(d)? 5 Suppose -2*w = 5*g - 4*g - 11, -5*g - 17 = -2*w. Let r(n) = n**3 - 2*n**2 - 25*n - 1. What is r(w)? -7 Let d(q) be the first derivative of 4*q**2 + 3*q - 1. Let c = -159 + 180. Suppose c*a + 49 - 7 = 0. Determine d(a). -13 Suppose r = -98 + 33. Let v be -1 + 0 + 4 + r/5. Let l(o) = -2*o + 2. Calculate l(v). 22 Let d(h) = 2*h**3 + 2*h**2 + 3*h + 2. Let g(x) = -3*x**3 - 3*x**2 - 5*x - 2. Let t(y) = 5*d(y) + 3*g(y). What is t(0)? 4 Let g = -1101 - -1096. Let w(i) = -22*i - 112. Give w(g). -2 Suppose g = 5*q - 20, 35 = 9*g - 4*g + 2*q. Let n(p) = 1 + g*p**3 - 2*p + 1 - 4 - 6*p**3 - 6*p**2 + 3. Calculate n(-6). 13 Let o = 6466 + -19397/3. Let l(u) be the first derivative of 0*u + u**2 - o*u**3 + 21. Give l(2). 0 Let p(z) = 43*z**2 - 37*z + 23. Let b(k) = 10*k**2 - 9*k + 6. Let h(j) = -9*b(j) + 2*p(j). What is h(1)? -5 Let h(b) = -15*b - 30. Suppose -3*t = -3*q - 48, -2*q + 36 = -3*t + 73. Calculate h(q). 135 Let z(n) be the first derivative of n**4/4 + 8*n**3/3 - n**2/2 - 2*n - 1. Suppose 4*o - 578 = 6*o + 4*j, 0 = -5*j + 20. Let p = -305 - o. What is z(p)? 6 Let q(k) = k**2 - 5*k - 5. Let d(n) = n**3 - 8*n**2 + 9*n - 10. Let g be d(7). Let r be (g/(-16))/((-2)/6)*8. Determine q(r). 1 Let l(q) = -2*q**2 + 17*q + 4. Let c be l(9). Let h(f) = 3*f - 3. Let p(i) = i - 1. Let z(j) = -h(j) - 2*p(j). Calculate z(c). 30 Let h(t) be the first derivative of -t**4/4 + 3*t**3 - 11*t**2/2 + 32*t + 124. Let y be h(8). Let a(c) = c**2 - 9*c + 1. Calculate a(y). -7 Let w(u) = u - 1. Suppose 33*c - 41*c = -80. Suppose c = -5*o - 5, -2*q = o - 3. Calculate w(q). 2 Suppose 244 - 64 = 20*a. Let t(b) = -a - 10 + 4*b - 3*b + 19*b**2 + 6*b - 6*b - b**3. Determine t(19). 0 Let g(v) = 42 + 19*v + 9*v - 9*v + 28 + 4. What is g(-4)? -2 Suppose -n + 1 = 3. Let y be 4 + (0 - 6) + 3. Let t(k) = -k - 1. Let b(z) = -5. Let w(c) = n*t(c) + y*b(c). Determine w(2). 1 Let t be 0 + 3 + (-7 - 14) + 14. Let s(g) = -10*g**2 - 42*g - 1. Give s(t). 7 Let f(z) = z - 58. Suppose -149*m = -151*m. Determine f(m). -58 Let c = 75 + -71. Suppose -5*h - 23 = -2*o + 4*o, -16 = 4*h + c*o. Let s(m) = m**2 + 5*m + 1. Determine s(h). 1 Let i(v) = -3 + 4 + 11215469*v - 11215491*v. Let k be (3 - 1) + (-9)/3. Calculate i(k). 23 Let b(h) = 2*h**3 + 4*h**2 - 12*h + 39. Let u(i) = -5*i**3 - 7*i**2 + 29*i - 88. Let s(o) = 7*b(o) + 3*u(o). Determine s(7). 30 Let y(p) be the third derivative of p**5/6 + 7*p**4/3 - 19*p**3/6 + p**2 + 56*p. Let x be y(-6). Let a(r) = 2 - 2 - r. What is a(x)? -5 Let u(q) be the second derivative of -q**3/3 + 11*q**2/2 - 7*q. Suppose -300*l = -78*l - 163 - 725. What is u(l)? 3 Let f(x) be the first derivative of x**4/4 + x**3 - x**2/2 + 3*x + 2. Let s be ((-30)/(-75))/(4/(-30)). Give f(s). 6 Suppose -96 - 54 = -3*o. Let t be ((-1)/2)/((-5)/o). Let r(y) = -3 + 18*y**3 + 4*y**2 + 5*y - 17*y**3 - t*y. Calculate r(-4). -3 Let z(a) = 4*a - 17. Suppose 18 = -q - 2*c, q - 10*c + 6*c = -6. Give z(q). -73 Let f = 1352 + -1366. Let s(u) = -u**2 - 16*u - 7. What is s(f)? 21 Let b be 42/((-85)/15 + 3 - -2). Let c = 56 + b. Let p(h) = h**2 + 8*h + 7. What is p(c)? 0 Let d(n) = -n**2 + 4. Let u(f) = f + 36 + f**2 - 11*f - 86. Let w be u(14). Determine d(w). -32 Let w = 7 + -8. Let p(t) = 14*t - 17. Let j(f) = -40*f + 51. Let h(l) = -3*j(l) - 8*p(l). Let n(q) = -9*q + 14. Let d(u) = -5*h(u) - 6*n(u). Give d(w). -13 Let l(s) be the third derivative of -s**5/120 - s**4/2 + 29*s**3/3 - 87*s**2. Let q(b) be the first derivative of l(b). What is q(-12)? 0 Suppose -2*o + 0*x - 3*x = -629, -5 = -x. Let b = 301 - o. Let m(f) = -f**2 - 10*f - 9. What is m(b)? 15 Let l(o) be the second derivative of -o**3/6 - 9*o**2 - 2216*o. Let j = 5 - 13. Determine l(j). -10 Let i(g) be the second derivative of -g**5/60 + g**4/6 - g**3 + 48*g**2 - 2*g + 3. Let y(c) be the first derivative of i(c). Calculate y(5). -11 Let d(m) be the third derivative of m**9/30240 + m**8/20160 + 71*m**5/20 + 104*m**2. Let h(k) be the third derivative of d(k). Give h(-2). -12 Let q = 13 + -7. Let m(z) = 7*z + 3. Let g(h) = 13*h + 6. Let u(o) = q*g(o) - 11*m(o). Suppose -3*n + 32 - 32 = 0. Determine u(n). 3 Suppose a - 12 = -2*m, 3*m - 24 = -m + 3*a. Suppose -m*v + 38 = 8. Suppose d - 1 = -p - 0, 4*p - 1 = -v*d. Let k(z) = 2*z - 2. Calculate k(d). -8 Let w(u) = -12*u - 19. Let y(l) = 40*l + 67. Let x(t) = 7*w(t) + 2*y(t). Calculate x(-2). 9 Let p(v) = 4*v. Suppose -20*d + 117 = -7*d. Let n be 0 + (d - 5) + (5 - 10). Calculate p(n). -4 Let n(l) = -55*l - 50. Let m be n(-17). Let b = m + -889. Let a(h) = -5*h + 7. Determine a(b). 27 Let c(m) = 32*
{ "pile_set_name": "DM Mathematics" }
1. -1/3741 Divide 275 by -1338. -275/1338 Divide 754338 by 39702. 19 What is -3 divided by 26753? -3/26753 Calculate 136826 divided by 43. 3182 Divide 109 by -1852. -109/1852 Divide 0 by -18160. 0 What is -128 divided by -4882? 64/2441 Calculate -2772 divided by -132. 21 Calculate 2819326 divided by 76198. 37 Divide -296370 by 74. -4005 What is 3007 divided by -382? -3007/382 Divide 31650 by 1055. 30 What is 6887504 divided by 4? 1721876 Divide 925736 by -231434. -4 Divide -252672 by 768. -329 Divide 8771196 by 1029. 8524 Calculate -16196 divided by 30. -8098/15 4 divided by -8322 -2/4161 Divide -91440 by -48. 1905 -2398368 divided by -10707 224 Calculate 4344540 divided by -222. -19570 -115200 divided by -600 192 -12586 divided by -9 12586/9 What is -4 divided by -657182? 2/328591 Calculate -2 divided by 446068. -1/223034 Divide -12 by 1843. -12/1843 Calculate -49344 divided by -6. 8224 What is -4 divided by 9646? -2/4823 Divide 3 by 16066. 3/16066 Calculate -10324 divided by 403. -10324/403 Calculate -2049 divided by -6. 683/2 Calculate -27584 divided by -13792. 2 Calculate -89941 divided by 6. -89941/6 Calculate -1296592 divided by -424. 3058 Divide 147234 by 463. 318 Divide 946098 by -315366. -3 Divide -56618 by 56618. -1 Divide -6 by 198943. -6/198943 13 divided by 156 1/12 Calculate -60099 divided by -4. 60099/4 What is 137124 divided by -78? -1758 -3 divided by 12567 -1/4189 -61 divided by -62079 61/62079 What is -207220 divided by -5? 41444 Calculate -1750 divided by -5. 350 Calculate 14952 divided by -4. -3738 10698995 divided by 5 2139799 663192 divided by -8 -82899 -81 divided by -4832 81/4832 -120870 divided by -51 2370 238799 divided by 21709 11 Divide 162812 by 1313. 124 Calculate 3076 divided by 68. 769/17 What is -1325664 divided by -4? 331416 Calculate -5 divided by -436. 5/436 Calculate 133395 divided by -5. -26679 Calculate -9960 divided by -4. 2490 Calculate -19 divided by 49112. -19/49112 Calculate -124 divided by 4968. -31/1242 Divide -8 by 954816. -1/119352 348762 divided by 6 58127 What is -12348 divided by -18? 686 Calculate -1 divided by -9865. 1/9865 5 divided by -38666 -5/38666 Calculate 16 divided by 93067. 16/93067 What is 12 divided by -248795? -12/248795 What is -829 divided by 6? -829/6 -4860 divided by 9 -540 What is -5840 divided by -2920? 2 What is -50528 divided by 8? -6316 3508 divided by -2 -1754 Calculate 90 divided by 191. 90/191 Calculate -760480 divided by 388. -1960 Calculate -7632 divided by 144. -53 Divide 48294 by -4. -24147/2 477987 divided by -2 -477987/2 9 divided by 137517 3/45839 What is 781806 divided by 229? 3414 What is -552 divided by -342? 92/57 Calculate 135476 divided by 11. 12316 124 divided by -430 -62/215 Calculate -180752 divided by 6952. -26 What is -1093308 divided by -124? 8817 -170984 divided by 22 -7772 What is 120273 divided by -10? -120273/10 What is -3 divided by 1397? -3/1397 What is 88292 divided by 3? 88292/3 -44327 divided by -1 44327 29040 divided by -10 -2904 -52694 divided by 2 -26347 -358750 divided by -35875 10 What is -1522508 divided by 1? -1522508 Calculate -2786 divided by -18. 1393/9 5313000 divided by -32200 -165 -1463462 divided by 187 -7826 Calculate 29305 divided by -113. -29305/113 Divide 68530 by 34265. 2 What is 2021390 divided by -35? -57754 -665120 divided by -665120 1 -1127 divided by 11 -1127/11 Calculate 27844 divided by 1. 27844 Calculate -41361 divided by 6. -13787/2 Calculate 10290 divided by -30. -343 5604 divided by -2 -2802 Calculate -23 divided by 562. -23/562 7 divided by -1113255 -7/1113255 What is 526682 divided by -12? -263341/6 1 divided by -886119 -1/886119 Calculate 15 divided by 9405. 1/627 Divide 2231 by 57. 2231/57 What is -2129 divided by 7? -2129/7 What is -1229605 divided by -1? 1229605 Divide -10236 by -5118. 2 Calculate 1329681 divided by 3. 443227 Divide 2501 by 41. 61 Calculate -190204 divided by -27172. 7 Divide -1206355 by -6. 1206355/6 -49558 divided by 24779 -2 What is -220958 divided by -110479? 2 -29422 divided by 2 -14711 55593 divided by -5 -55593/5 Divide 337344 by 84336. 4 Divide 53913 by -2. -53913/2 -2087 divided by -2087 1 Calculate 3 divided by -1380. -1/460 What is -181 divided by -2354? 181/2354 Divide 5 by 976803. 5/976803 What is 8 divided by 4619? 8/4619 Divide 1 by -1122. -1/1122 Calculate -65100 divided by 1302. -50 -2020743 divided by 3 -673581 -775225 divided by 55 -14095 Divide -4216052 by 1054013. -4 What is 24 divided by -75066? -4/12511 Calculate -344 divided by -344. 1 Calculate 476520 divided by 44. 10830 65 divided by -4899 -65/4899 What is 36627 divided by 12209? 3 What is 310424 divided by -38803? -8 Calculate 2141 divided by -26. -2141/26 -70393 divided by 1 -70393 Calculate 1716276 divided by -858138. -2 77388 divided by -4 -19347 25192 divided by -67 -376 Divide 110973 by -110973. -1 What is -214 divided by -3293? 214/3293 90073 divided by 2 90073/2 What is 8472 divided by 76? 2118/19 Calculate 165 divided by -706. -165/706 -199855 divided by 27 -199855/27 What is -429275 divided by 7? -61325 Divide 26667 by 5. 26667/5 Calculate 103 divided by -4868. -103/4868 Calculate 616485 divided by -1689. -365 66746 divided by 7 66746/7 What is -2 divided by 27703? -2/27703 What is 1 divided by 19929? 1/19929 Calculate -401 divided by 84. -401/84 Calculate 123354 divided by 99. 1246 Divide 17836 by 28. 637 Divide 11 by 172357. 11/172357 What is -25400 divided by 15? -5080/3 -35 divided by -42902 35/42902 Calculate -98 divided by -194. 49/97 Divide 224111 by -4. -224111/4 -15747 divided by 543 -29 Divide -1845460 by 265. -6964 -35 divided by -4902 35/4902 -1095052 divided by -547526 2 What is 1295838 divided by 1539? 842 Divide -83 by 1237. -83/1237 What is 819217 divided by 117031? 7 Divide -30393 by -10131. 3 Divide 1280 by 422. 640/211 Calculate 26 divided by -4004. -1/154 What is 2124 divided by -1465? -2124/1465 Calculate -1872378 divided by 6. -312063 Divide -3837 by 1. -3837 Calculate 185131 divided by -5. -185131/5 5474769 divided by 439 12471 What is -183 divided by -845? 183/845 Divide 206890 by 1217. 170 Calculate -201 divided by -402. 1/2 Divide 340760 by 24340. 14 Calculate -159122 divided by 159122. -1 Divide 46 by 70065. 46/70065 Calculate 2238292 divided by 79939. 28 Calculate -219566 divided by -3. 219566/3 Divide -16069 by 11. -16069/11 -9 divided by 5529 -3/1843 Calculate 12215 divided by 5. 2443 What is 92581 divided by -92581? -1 Divide 13 by -12215. -13/12215 What is 61965 divided by 85? 729 Calculate -2971 divided by -6. 2971/6 59360 divided by -7 -8480 -23327 divided by 2 -23327/2 What is 21864 divided by 2? 10932 Divide 13182 by 5. 13182/5 Divide 283200 by 600. 472 Calculate 8209 divided by 4. 8209/4 -200300 divided by 100150 -2 What is -53820 divided by 780? -69 -97435 divided by -19487 5 Divide 12265 by -11. -1115 -216200 divided by 23 -9400 Divide -905784 by -73. 12408 276 divided by 12 23 Divide -155196 by -958. 162 Divide -197480 by 24685. -8 What is 3 divided by -1478? -3/1478 Calculate -572264 divided by 26012. -22 Calculate 38376 divided by 123. 312 What is 11 divided by 6903? 11/6903 Calculate -3 divided by 11186. -3/11186 What is -170 divided by 241? -170/241 Calculate 295640 divided by 4. 73910 Divide -90957 by -1. 90957 What is 15240 divided by 24? 635 9670 divided by -140 -967/14 Divide -344 by -172. 2 What is -1030921 divided by -1871? 551 Calculate -1342544 divided by 3. -1342544/3 What is -7 divided by -279911? 7/279911 Divide -8325336 by 12. -693778 Calculate 326625 divided by -5025. -65 What is 28208 divided by 172? 164 Calculate -74598 divided by 7. -74598/7 What is 0 divided by 13066? 0 Divide 2 by -22456. -1/11228 Calculate 15 divided by 6630. 1/442 Calculate -814 divided by 74. -11 Divide -231953 by -5. 231953/5 What is 37 divided by 285? 37/285 Divide 87339 by -57. -29113/19 What is 160710 divided by 7305? 22 1130245 divided by -5 -226049 Divide -424 by 255. -424/255 Divide -943 by -78. 943/78 Divide -28503 by -18. 3167/2 1188 divided by -54 -22 Divide 17732 by -52. -341 Divide 34701 by -11567. -3 Divide -14904 by -1242. 12 What is 2679 divided by -258? -893/86 Divide 305865 by 6797. 45 Calculate 35838 divided by -6. -5973 13 divided by 4449 13/4449
{ "pile_set_name": "DM Mathematics" }
7 = 3*w - r*w. Solve 0 = -2*x + 3*q - 6, -6 = -0*x + 2*x + p*q for x. -3 Suppose -y = -0*y. Let v = 2 - 0. Suppose y = -v*f + 6 - 2. Solve 2*i = 2*c + 10, -f*i - 15 = -c + 4*c for i. 0 Suppose 3*i - 6*i = -12. Suppose 2*j = 9*j. Solve -5*m + 0*m - i*p = j, p - 1 = -m for m. -4 Suppose 10*m - 5*m = 25. Suppose -23 = -3*n - m*f, 2*f = -f + 3. Solve -i = 3*s + s - 17, n = 2*s for i. 5 Let r = 49 - 49. Solve -2*t = -3*s - 4, 2*s - 4*t + 8 = -r*s for s. 0 Let v = -6 - -46. Suppose 5*m = -0*o + 4*o - 35, 5*o - v = 5*m. Solve 0*r = o*q - 3*r + 2, -3*q = 2*r - 14 for q. 2 Suppose 5*j + g = -0*g + 5, 5*g = 25. Suppose -i + 5 = -j*i. Let y = i - 0. Solve -5*t + y*k - 11 = 4*k, -3*t = 5*k + 1 for t. -2 Suppose -9*b + 5*b = -20. Solve b*g + 4*t + 8 = -17, 20 = -4*t for g. -1 Let c(o) = -o**3 + 10*o**2 - 3*o + 6. Let b(y) = y**2 + y. Let u(n) = -4*b(n) + c(n). Let t be u(4). Solve 11 = 5*x + 3*w, 2*x + 0*x = -4*w + t for x. 1 Suppose -2*s + 25 = -4*j + 3*j, 3*s = 3*j + 33. Solve 4*a = -5*f - 21, f = -4*a + 3*f - s for a. -4 Let l = 10 + -8. Solve 2*b + 2*i - l = -0*b, -3*i + 3 = 4*b for b. 0 Let s(q) be the first derivative of -q**2/2 - 6*q - 2. Let w be s(-3). Let r be w + ((-10)/(-2) - -1). Solve 0 = -5*i + i - 2*d + 16, -r*i + 7 = 4*d for i. 5 Let u be -1*11*(6 - 5). Let g = -6 - u. Let k(f) = 3*f**2 - f - 3. Let q be k(-3). Solve 3*s = -g*l + 37, -3*s = -3*l + 6*l - q for s. 4 Let b be 3*2 + (3 - 4). Solve -5 = -4*s + q, s + 25 = -2*s - b*q for s. 0 Suppose -10 = 15*a - 20*a. Solve -3*g - 3*u = 5 + 1, -g = -a*u + 8 for g. -4 Let u(l) = -l**3 + l**2 + 3*l - 2. Let h be u(2). Suppose -3*a + 6 = -h*a. Let q be (-18)/(a/(0 + -2)). Solve 7 = -2*x - t, t + q = -4*x + 3 for x. -4 Let u(c) = c**2 + 0*c - 2*c**2 - c + 3*c**2. Let p(o) = -o**3 + 3*o**2 - 3*o. Let f be p(2). Let z be u(f). Solve -3*m + 7*m + 3*x = z, -13 = -3*m - 5*x for m. 1 Let j(g) = g**3 + 6*g**2 - 7*g + 2. Let p be j(-7). Let k = 13 - -1. Let d be (-2)/5 + k/10. Solve a - p*z = z - 11, 5*a - z - d = 0 for a. 1 Let o = -7 - -11. Suppose -o*l + 8 + 0 = 0. Suppose -4*s = n + 14, -l*s - 26 = -4*n - 10. Solve i + 3*z = -7 - 8, -n*i = 4*z + 20 for i. 0 Let a(l) = -l**3 - l**2 + 50. Let p be a(0). Suppose -3*c + 7*z = 2*z - p, z + 20 = c. Solve 3*y - 2*m = c, 0 = y - 5*y - 4*m for y. 5 Let x be 7 - (60/14 - (-4)/(-14)). Solve 7 = 3*u - 2*r + r, 5*u = -x*r - 7 for u. 1 Suppose 4*k = -4*a + 3*k + 27, 4*a - k = 29. Let w(p) = -p**2 + 9*p - 10. Let c be w(a). Solve -37 = 5*v + c*d, d = -v + 3*v + 7 for v. -5 Let s = -1 - 1. Let t = s + 3. Let u be (t/(-3))/((-3)/27). Solve -4*f = -3 - 1, 3*w = u*f - 18 for w. -5 Suppose -5*v = 3*l + 11, 7*v - 4*v + 15 = -3*l. Let g = 1 + l. Let j be ((-15)/g)/(1/2). Solve 0 = -2*b + j*u - 11, -3*u + 5 + 2 = -b for b. 2 Suppose 15 = b + 5. Let i be b/((1 + 1)/1). Let g = -4 - -14. Solve -i*k + 14 = -11, 2*k = -2*l + g for l. 0 Suppose 3*c - 2 = -8. Let o be (4/(-8))/(c/8). Suppose 0 = -2*f + o + 8. Solve f*w = -6*a + a, -4*a - 8 = 2*w for a. -4 Let y(a) = -5 - 14*a + 4 - 4 + 3. Let u be y(-2). Solve -5*s = -3*v - 9 - 2, -5*s - 2*v + u = 0 for s. 4 Let o(y) = -2*y - 2. Let f be 10 + (-3)/(-6)*-2. Let k be (-10)/3 + 3/f. Let n be o(k). Solve 2*t + n = 3*p, -t + 3*p + 21 = -4*t for t. -5 Suppose 0 = 2*w - 23 - 1. Suppose -4*x = -w, k = -x + 4*x + 4. Let s = k - 8. Solve 0 = 5*a - s*r, a + 2*a + 3*r - 18 = 0 for a. 3 Let r be (-2 - -3) + (3 - 2). Suppose -r*p + 24 = 10. Suppose p = -m - 5*d - 0, -2*m = 5*d + 4. Solve 2*c = -m*i + c - 5, -15 = 5*i + 3*c for i. 0 Let a(o) = -2*o - 7. Let r be a(-5). Let z = 12 - 7. Suppose -z*q = -4*f + 20, -q - 20 = -r*f - f. Solve -2*j = 3*u + 10, 3*j + 5 = f*u + 2*j for u. 0 Suppose y - o = 0, -y - 2*o - 6 = -5*y. Suppose y = -5*h + 18. Solve -3 = 3*s - h*v, -4 = s + 2*v - 0 for s. -2 Let a be 3/(-3)*(3 + -5). Solve -3*l - 16 = -4*t, -2*l + 16 = a*t + 2*t for l. 0 Let i(d) = -d - 2. Let n be i(-5). Solve n*m = 2*m + 4*o + 7, 4 = m - o for m. 3 Suppose 5*i = 25, a + a + i - 5 = 0. Solve 2*r + 4*l + 8 = 0, r + 1 = -a*l + l for r. -2 Let v = 10 - 7. Suppose -15 = -2*a - v*a. Solve 3*i + 1 = 2*d + a*d, -5*d = 5 for i. -2 Suppose -4*i + 19 = 11. Let t = -5 + 9. Suppose -m - m + t = 0. Solve m = 2*x + 2*j, -j - 4 + 2 = i*x for x. -3 Let v(r) = -r**2 - 7*r - 2. Let s be v(-6). Suppose -11 = -10*m + 39. Solve 29 = m*b + c, 0*b + s*c = -2*b + 26 for b. 5 Let f = 7 + -2. Suppose -4*d + 4*b + 7 = -1, f*d + 4*b - 1 = 0. Let l be 5*d + 12/(-6). Solve l*x + 11 = -2*p, -4*x + 2*p - 14 = -2*x for x. -5 Suppose -2*g = -d - 34, -3*d - 20 + 14 = 0. Let x = -2 + 4. Suppose 8 = -i - 3*b - 3, -x*i + b = -13. Solve -3*k = j + i + 7, g = -2*k - 5*j for k. -3 Let d = 72 - 68. Solve -w + 5 = 5*q - 3*w, 4*q - d = -w for q. 1 Let j(v) = 4*v + 7. Let p(o) = -2*o - 3. Let h(z) = 4*j(z) + 9*p(z). Let r be h(-4). Solve -3*x = -c - r, -5 - 11 = -4*x for c. 3 Let n be (10/(-3))/(2/(-6)). Let s be 1848/96 + (1 - (-10)/(-8)). Let o be 1/2 - (-7)/2. Solve -o*j - n = -t, 5*j = t + 6 - s for t. -2 Let j(y) = 3*y**2 + 2*y + 1. Let h be j(-1). Solve 8 = -h*s, s + 2 - 10 = -4*r for r. 3 Suppose 0 = -2*s + s + 3. Suppose 0 = z - s - 1. Let r be 1*z - (-1 + 3). Solve 0 = x + 5*p - 5, -2*x + r*p + 25 = 3*x for x. 5 Let f(c) = -c**3 + c**2 + 2*c + 2. Let v be f(3). Let k = -10 - v. Solve k*j - j + 20 = -4*m, -m - 8 = -j for m. -4 Suppose -4*d + 25 = -15. Let w = 13 - d. Solve 5*t - 4*y + 40 = 0, 0*t - 35 = 5*t - w*y for t. -4 Let r be (-3)/27 + 4 + 1/9. Solve -y - g - r*g = 21, -3*y = 2*g + 11 for y. -1 Let c(y) = -y + 1. Let d be c(-8). Let f be (-2)/(-6) - 3/d. Solve f*b = 4*b - 4*h + 36, 0 = -4*h + 16 for b. -5 Suppose -5*d = -3*j + 6 - 30, -3*j = d - 12. Suppose -d*o - 56 = -2*o. Let s = -5 - o. Solve -2*m - 4*h + 0*h = -28, -4*m = -5*h + s for m. 4 Suppose 9*c - 60 = 6*c. Suppose 5*x = -3*o + c, -2*x + 5*o - 23 = -0*x. Solve s = -4*n + 5*s + 8, -5*n + x = -2*s for n. -1 Suppose 5*w - 3*y - y = 91, -3*y + 3 = w. Let h = w + -9. Solve 7 = 5*k + 4*i - 5, -h = 2*k - 2*i for k. 0 Let h be (-1)/2*-8 + 1. Suppose 3*b + 18 = 2*m + m, -h = 5*b. Solve 4*r - m*r = v + 3, 0 = 5*v + r + 11 for v. -2 Suppose 4*b = -2*l - 3*l + 57, 0 = -3*b - 6. Suppose l*j = 18*j - 100. Solve -5*u + o + 7 = -18, -3*o = -4*u + j for u. 5 Let f = -2 - -11. Solve 4*y - f = 2*t - 1, t = y - 4 for y. 0 Suppose -5 = 3*p - 17. Suppose -p*s + s = 0. Solve 3*h - 15 = 2*u, -5*u + h - 18 = -s*h for u. -3 Suppose -12*x = 43 + 149. Let k = 28 - 53. Let u = x - k. Solve -5*w - t = 4*t - 30, 0 = -3*t + u for w. 3 Let d be (80/(-32))/(2/4 + -1). Solve 3*m - 4*b = -1, b + 2 - 31 = -d*m for m. 5 Suppose -4*n = 3*h - 22, -2*h - 5*n + 0*n = -24. Suppose 0 = -v - 0*v + 5*d - 23, -3*v - 19 = -5*d. Solve -14 = -h*t - 5*q, 5*t + v*q + 0 = 14 for t. 2 Let t be 4/(-8)*(1 + -9). Suppose -o + 3 = -t*o. Let c be o*(0/3)/(-3). Solve -2*h + c*i + 4 = -2*i, 0 = 3*h + 3*i + 12 for h. -1 Let x = 11 + -6. Let r = x + -3. Let v be 2/(r/18*3). Solve 3 = f, 4*q - f = -3*f + v for q. 0 Let i be 2 - 5/(25/(-20)). Let m(b) = -b**2 + 11*b - 11. Let y be m(9). Solve 5*j + 5*a + 45 = 0, -2*j + i = -y*a + 3*a for j. -5 Suppose -3*a - 6 = -0. Let u be ((-56)/(-35))/(a/(-10)). Suppose -f + 3*b + 5 = b, 3*f - u = -b. Solve 4*p = -5*w - 11, f*p - 14 = p + 4*w for p. 1 Let j(l) = -2*l + 12. Let t be j(4). Solve -t*g = -9*g + 3*v - 6, -8 = -g - 4*v for g. 0 Let y(l) = -l - 17. Let w be y(-12). Let c(d) = d**2 + 5*d. Let h be c(w). Solve h = -0*k - 3*k + q + 7, k - 2*q - 9 = 0 for k. 1 Let v(y) = -y**2 - y. Let r be v(-3). Let b(w) = -w**3 - 5*w**2 + 5*w - 2. Let u be b(r). Solve 0 = -3*h - 3*i + 3 - 6, 4*i = -5*h - u for h. 0 Let h(c) = c**2 - 7*c + 2. Let n be h(7). Solve t = -n*l + l + 3, -4*l - 5*t + 17 = 0 for l. -2 Let j(d) = 4*d**2 - 2*d - 5. Let f be j(3). Suppose 13 = -0*q + q. Let p = q + -8. Solve 3*y - p*r = -f, 2*y + 6*r - 3*r - 15 = 0 for y. 0 Suppose 5*q - 10 = 0, 2*q = -w + 4*q. Let y be 2/(-4) - 1/(-2). Solve 0 = c - 3*o + 8, y*c - 2*c - w*o - 6 = 0 for c. -5 Let b = -104 - -130. Solve z - 7 = 2*o, 2*o - 1 = -5*z - b for z. -3 Let x = 25 + -13. Solve 0 - 2 = -2*r + 3*f, -x = 4*r + 2*f for r. -2 Let t be 6/2 - (7 + -6). Solve 4 = c + t*w, -4*c + 2*w - 11 = w for c. -2 Suppose 0 = 6*v - 2*v + 16. Let n(g) = g**3 + 6*g**2 + 5*g - 3. Let x be
{ "pile_set_name": "DM Mathematics" }
What is the remainder when t is divided by 10? 7 Let x(f) = f**3 - 6*f**2 + 13*f - 52. What is the remainder when x(8) is divided by 47? 39 Let r be 10*6/9 + 2/(-3). Suppose -r*l + 13 = -83. Calculate the remainder when 76 is divided by l. 12 Suppose 4 = j - 1. Suppose 5 = -j*n, -n + 7 = -o - 0. What is the remainder when 23 is divided by (5 - 8)/(3/o)? 7 Let s(b) = b**3 - 12*b**2 - 11*b - 22. Let z be s(13). Suppose z*i - 4*o - 1 - 3 = 0, 5*o - 1 = 3*i. What is the remainder when 14 is divided by i? 2 Suppose 2*g - 40*h + 43*h - 113 = 0, h - 1 = 0. Calculate the remainder when 109 is divided by g. 54 Let i(t) = 14*t + 427. What is the remainder when i(0) is divided by 11? 9 Let a = 6 - 0. Calculate the remainder when 34 is divided by (-6)/8*(-72)/a. 7 Let x be (-39)/(-33) + (-2)/11. Let c be x + (4 - 2) + 2. Suppose 2*l = 1 + 9, c*v = -5*l + 65. Calculate the remainder when 23 is divided by v. 7 Let l(u) = -16*u - 4. Let x be l(1). Let d = 55 + x. What is the remainder when d is divided by 4? 3 Let i = 943 - 848. What is the remainder when 757 is divided by i? 92 Suppose 57*y - 640 = -121*y + 3098. Let k(q) = 2*q**3 - 5*q**2 - q - 4. What is the remainder when k(4) is divided by y? 19 Let z = -834 - -848. Let l(n) = 4*n**3 - 5*n**2 + n + 2. What is the remainder when l(3) is divided by z? 12 Let a(s) = -s**2 + 17*s - 14. What is the remainder when a(15) is divided by (5 - -1)*(3 + 10/(-5))? 4 What is the remainder when 59 is divided by ((-8)/(-10))/(5/675*9)? 11 Let o be (120/14)/(6 + (-129)/21). Let m = o - -71. Calculate the remainder when 26 is divided by m. 4 Let d be (-36)/(-27)*-3 + (-26)/2. Let c = -56 + 93. Let b = d + c. What is the remainder when 77 is divided by b? 17 Suppose 0 = -33*f + 1683 - 264. What is the remainder when 291 is divided by f? 33 Suppose -3*p + 49 - 10 = 0. Let r be 9*(0 + (-40)/(-12)). Let l = r - p. What is the remainder when 32 is divided by l? 15 Suppose 4*j + 19 + 241 = 0. Let z = j + 72. What is the remainder when 26 is divided by z? 5 Let n = -1634 + 1659. Let i(d) = d**2 + 4*d + 4. What is the remainder when n is divided by i(-5)? 7 Suppose 24 = -8*n + 12*n. Calculate the remainder when 33 is divided by n. 3 Suppose -63*y + 67*y + 136 = 0. Let z = y + 65. Calculate the remainder when 59 is divided by z. 28 Suppose 4*r + 105 = 3*v + 14, 4*r - 25 = -v. What is the remainder when v is divided by 16? 13 Suppose 65 = 2*z - x, 4*x + 41 = 2*z - 27. Calculate the remainder when z is divided by 9. 5 Let p = -137 - -152. What is the remainder when 28 is divided by p? 13 Calculate the remainder when 23 is divided by ((-49)/(-14) - -2)*2. 1 Suppose 0 = 5*u + 25, -11 = 2*b + 2*u - 3. What is the remainder when 0 + b - (-56 + 0) is divided by 30? 27 Suppose 154 = 9*t - 2*t. Let o = -8 + t. Let r(s) = -17*s + 2. Calculate the remainder when r(-3) is divided by o. 11 Suppose 0 = 2*u - 15 + 5. Suppose 0 = -10*j + u*j + 120. Let l(w) = w**2 + 3*w - 5. Calculate the remainder when j is divided by l(-6). 11 Let x = 2364 + -2110. What is the remainder when x is divided by 49? 9 Let a be (0/((-10)/(-5)))/(2 + -1). Let j be (-2)/(-9) - (-64)/36. Suppose 3*s + 45 = j*k, a*k + 87 = 4*k - 3*s. Calculate the remainder when k is divided by 6. 3 Suppose -77 = 10*h - 217. What is the remainder when 825 is divided by h? 13 Suppose 4 + 0 = 2*q. Suppose -q*t + 5 = g - 17, 0 = -5*g - 2*t + 126. Suppose 0 = 4*w - 2*w - 102. Calculate the remainder when w is divided by g. 25 Let w be (-20)/(-110) + (-6)/33. Suppose -5*b + 2*g + 24 = w, -4*b = -0*g + 4*g - 36. Calculate the remainder when 75 is divided by b. 3 Suppose -2*r + b + 0*b + 21 = 0, -5*b - 45 = -5*r. Suppose 0 = 5*f - 337 + r. Calculate the remainder when f is divided by 34. 31 Let h = 5 - 7. Let f(l) = -3*l - 3. Let t be f(h). Suppose -108 = -t*r - r. What is the remainder when r is divided by 10? 7 Calculate the remainder when 184 is divided by 35 + (-3 - 2 - -4) - 3. 29 Let p(z) = -2*z**3 - 9*z**2 - 3*z + 30. Calculate the remainder when 142 is divided by p(-5). 2 Let g = -27 + 36. Suppose -165 = -5*p + 4*y - g*y, 0 = -3*p + y + 91. Calculate the remainder when p is divided by 11. 9 Let j = 40 - 36. Suppose 0 = 3*p - 4*n - 7, 2*p - j*p + 3 = -3*n. What is the remainder when 23 is divided by p? 5 Suppose 3*s = 2*s - 6*s. Suppose -2*a - 2*d + 54 = s, 2*d - 63 = -3*a + 14. What is the remainder when 206 is divided by a? 22 Let f(r) = r**2 + 11*r + 17. Let w be f(-9). What is the remainder when w/((3 - 1)/(-5 - 69)) is divided by 10? 7 Suppose -11*i - f - 19 = -12*i, -44 = -2*i + 4*f. Let j be (-27)/6*8/(-1). Let l = j + -26. Calculate the remainder when i is divided by l. 6 Suppose 19*j + 22 = 18*j. Let i = 21 + j. Calculate the remainder when i + 3 - 63/(-9) is divided by 6. 3 Suppose -162 = -4*y - 2*y. Suppose 5*o = -2*j + 264, -5*o - j + 160 = -102. What is the remainder when o is divided by y? 25 Suppose -50 = -5*l + t, 14*l + 30 = 17*l + 3*t. What is the remainder when 109 is divided by l? 9 Suppose -77*k + 2469 + 688 = 0. What is the remainder when k is divided by 29? 12 Let m(i) = -6*i**2 + 6*i - 14. Let r(s) = 5*s**2 - 7*s + 13. Let l(n) = 3*m(n) + 4*r(n). Calculate the remainder when l(5) is divided by 6. 4 Let w be ((-8)/28)/(3 - (-129)/(-42)). Suppose 5*a + 337 = 4*d + 27, -5*d + w*a = -392. Calculate the remainder when d is divided by 17. 12 Let j(k) = -k + 7. Let n be j(5). Suppose 0 = -n*z + 2 + 4. Suppose z*f - f - 50 = 0. What is the remainder when f is divided by 14? 11 Suppose -29*t = -7*t - 1474. What is the remainder when 72 is divided by t? 5 Let r(u) = -2*u + 39. Let w be r(17). Suppose -187 = -w*t + m, 4*t = -m - 2*m + 161. What is the remainder when 148 is divided by t? 34 Let h = -70 - -133. What is the remainder when h is divided by (-10)/(-5) - (4 + -11 + 1)? 7 Let b = 33 - 18. Suppose -3*o - 8*w + 10*w = -447, 5*w = -b. What is the remainder when o is divided by 15? 12 Suppose -548 = -61*s + 16*s - 8. Let u = 130 + -61. What is the remainder when u is divided by s? 9 Let z be 5 + -1 + 0 + -2. Suppose -i = -2*d + 134, 0*d = -2*d + z*i + 134. Calculate the remainder when d is divided by 35. 32 Let s(v) = 2*v + 8. Let u be 6/15 + (-81)/15. Let l be s(u). Let w = 6 + l. What is the remainder when 9 is divided by w? 1 Let r(f) = f**3 - f**2 + 1. Let t(u) = u**3 + 5*u**2 + 3*u - 5. Let x(i) = -3*r(i) - t(i). Calculate the remainder when x(-3) is divided by 35. 31 Let u = -17 - -22. Suppose 0 = -s - k + 7, -k - 10 = -3*s + 3. What is the remainder when 26/(u*(-2)/(-5)) is divided by s? 3 Let m = 18 - 18. Suppose -4*v + 5*v - 53 = m. Let g(s) = -2*s - 3. Calculate the remainder when v is divided by g(-7). 9 Suppose 5*m = 5*f + 105, 5*m - f - 18 = 103. Let i = 9 + -5. Calculate the remainder when m is divided by i/6 + (-57)/(-9). 4 Suppose 150 = 3*x - 3*q, -x + 2*x - 3*q - 56 = 0. Let n = 53 - x. What is the remainder when 21 is divided by n? 3 Suppose -3*t = -3*o - 450, 0 = t - 2*o - 135 - 12. What is the remainder when t is divided by 56? 41 Let q = 17 + -3. What is the remainder when (-2760)/(-70) - (-50)/(-35) is divided by q? 10 Let p = -1870 - -2112. Calculate the remainder when p is divided by 36. 26 Suppose -247 = -z + w - 23, 4*w = 0. Calculate the remainder when z is divided by 15. 14 Let v = 56 + 2. Let r be (-1560)/(-27) + 6/27. Suppose 0 = -2*l + 4*g + r, g = 2*l - 0*l - v. Calculate the remainder when l is divided by 16. 13 Suppose -10*q + 180 = 8*q. What is the remainder when 77 is divided by q? 7 Let b = 194 - 167. What is the remainder when 73 is divided by b? 19 Suppose -2*f - f = b - 78, 3*f - 162 = -2*b. Suppose -14*w + 8*w + b = 0. What is the remainder when w is divided by 5? 4 Suppose 0 = -3*l - 4*j + 61, -3*j + 15 = 3. What is the remainder when 77 is divided by (l - -9) + 3*1? 23 Suppose 4*j - 33 = 4*r + 7, 3*r + 3*j + 54 = 0. Calculate the remainder when r/(-4) - (-3)/(-6) is divided by 1. 0 Suppose -4*g + 24 = 2*s, 2*s + 21 = 3*s + 5*g. Suppose 2*a = -0*a + 4*b + 122, -5*a - b + 349 = 0. Calculate the remainder when a is divided by s/(-8)*(4 - 28). 15 Calculate the remainder when (20/3)/((-545)/(-75) - 7) is divided by 12*(3/4 + 0). 7 Let g be ((-2)/6)/(7/(-4221)*3). Let v = g + -55. Calculate the remainder when 29 is divided by v
{ "pile_set_name": "DM Mathematics" }
8414 What comes next: 14334, 14370, 14404, 14442, 14490? 14554 What is next in 7546125, 7546144, 7546163, 7546182? 7546201 What comes next: 22920205, 45840405, 68760605, 91680805, 114601005? 137521205 What is the next term in -31099, -125396, -282557, -502582, -785471? -1131224 What comes next: -458585, -458598, -458611? -458624 What is next in 14152, 14077, 14000, 13921? 13840 What is next in 2536, 9284, 20278, 35506, 54956, 78616, 106474? 138518 What comes next: 181547, 195925, 234951, 310949, 436243, 623157? 884015 What is next in 473431, 1893768, 4261011, 7575172, 11836263, 17044296, 23199283? 30301236 What is the next term in 3996489, 7992943, 11989397, 15985851? 19982305 What is the next term in 26279, 26410, 26535, 26654, 26767, 26874, 26975? 27070 What comes next: 5208, 16980, 36616, 64110, 99456, 142648, 193680? 252546 What is next in 222834, 445695, 668580, 891495, 1114446, 1337439? 1560480 What is the next term in -98274706, -98274694, -98274668, -98274622, -98274550? -98274446 What is the next term in -2408, -16683, -54704, -128345, -249480? -429983 What is next in 52818, 105512, 158210, 210912? 263618 What is next in 1592, 3121, 7290, 15419, 28828, 48837? 76766 What comes next: 1380658, 1380678, 1380698, 1380718, 1380738? 1380758 What is next in -42330297, -84660597, -126990897, -169321197, -211651497, -253981797? -296312097 What is the next term in -2933095, -5866180, -8799265? -11732350 What is the next term in 1221189, 1221183, 1221177, 1221171, 1221165, 1221159? 1221153 What comes next: -22135, -22119, -22083, -22027, -21951? -21855 What is next in -7786066, -15572352, -23358624, -31144876, -38931102, -46717296, -54503452, -62289564? -70075626 What comes next: -241, -2344, -8267, -19984, -39469, -68696, -109639? -164272 What is the next term in 17858, 21439, 27408, 35765, 46510, 59643? 75164 What is next in 24403, 193597, 652841, 1547161, 3021583, 5221133? 8290837 What comes next: -624650, -1249273, -1873902, -2498537, -3123178, -3747825, -4372478? -4997137 What is the next term in 60037, 120216, 180405, 240610, 300837, 361092? 421381 What comes next: 6849564, 6849562, 6849560, 6849558, 6849556, 6849554? 6849552 What is next in -78577, -78579, -78581, -78583, -78585? -78587 What is next in -55976, -239333, -544922, -972737, -1522772, -2195021, -2989478? -3906137 What comes next: -23970, -47848, -71720, -95586? -119446 What is the next term in -21188, -1708, 17782, 37288, 56816, 76372, 95962? 115592 What comes next: -331, -3033, -10227, -24103, -46851, -80661, -127723, -190227? -270363 What comes next: -1679641, -3359278, -5038915, -6718552, -8398189? -10077826 What is next in 2505512, 5011031, 7516550? 10022069 What is the next term in 271861, 544214, 816567? 1088920 What is next in -1472605, -5890443, -13253513, -23561821, -36815373, -53014175, -72158233, -94247553? -119282141 What comes next: -4435395, -8870859, -13306325, -17741793, -22177263? -26612735 What is the next term in -485404200, -970808402, -1456212606, -1941616812, -2427021020, -2912425230? -3397829442 What is the next term in 4695061, 9390124, 14085187? 18780250 What is next in 5187, 41214, 139001, 329430, 643383, 1111742, 1765389? 2635206 What is the next term in -63884, -63872, -63854, -63830, -63800? -63764 What comes next: 177587, 177431, 177269, 177101, 176927, 176747? 176561 What comes next: -79630865, -79630868, -79630871, -79630874, -79630877, -79630880? -79630883 What is the next term in 2111, 4527, 6975, 9473, 12039, 14691, 17447? 20325 What is the next term in -880116761, -880116762, -880116763, -880116764, -880116765, -880116766? -880116767 What is the next term in -6113, -6800, -7487, -8174? -8861 What is next in -8979, -35517, -79613, -141267? -220479 What is the next term in -2845, -6746, -10635, -14512, -18377, -22230, -26071? -29900 What comes next: -1716139, -6864560, -15445251, -27458206, -42903419, -61780884, -84090595, -109832546? -139006731 What is the next term in -13326, -53317, -119984, -213339, -333394, -480161, -653652? -853879 What is the next term in -11855, -10842, -9827, -8810, -7791, -6770? -5747 What is next in -15660, -31000, -46340, -61674, -76996? -92300 What is the next term in -8202, -65581, -221310, -524565, -1024522, -1770357, -2811246? -4196365 What comes next: -779663, -3118650, -7016959, -12474590, -19491543? -28067818 What is the next term in -15874, -30523, -45172, -59821, -74470, -89119? -103768 What is next in 223, 998, 2347, 4300, 6887, 10138, 14083, 18752? 24175 What comes next: -19180941, -19180951, -19180975, -19181019, -19181089, -19181191? -19181331 What is the next term in -193265, -772783, -1738633, -3090803, -4829281? -6954055 What is next in 2468, 1759, 562, -1123? -3296 What is next in 60669, 61433, 62197, 62961? 63725 What is the next term in 3528, 14001, 31404, 55695, 86832, 124773, 169476, 220899? 279000 What is next in 1481, 3310, 5489, 8018? 10897 What is next in -741865, -1483807, -2225749, -2967691, -3709633, -4451575? -5193517 What is next in -15977, -31693, -47453, -63257, -79105, -94997? -110933 What is the next term in 26358056, 52716113, 79074170, 105432227, 131790284? 158148341 What is the next term in -37229268, -37229266, -37229264? -37229262 What comes next: -16231958, -16231955, -16231952, -16231949, -16231946? -16231943 What is next in 68054, 66074, 64096, 62120, 60146, 58174, 56204? 54236 What comes next: -43684, -347339, -1171550, -2776597, -5422760, -9370319, -14879554, -22210745? -31624172 What is next in 38112, 38071, 37984, 37827, 37576, 37207? 36696 What is the next term in -64, 74, 76, -244, -1072, -2594? -4996 What is the next term in -1068944, -1068788, -1068632? -1068476 What is next in 1463, 3550, 6863, 12014, 19615, 30278, 44615? 63238 What comes next: 233652, 467344, 701036, 934728, 1168420? 1402112 What is the next term in 5974, 13502, 33956, 73798, 139490? 237494 What is the next term in 50873, 49754, 47895, 45302, 41981, 37938, 33179, 27710? 21537 What is the next term in 919104, 919112, 919120, 919128, 919136, 919144? 919152 What comes next: 817, 3332, 7517, 13360, 20849, 29972, 40717? 53072 What is next in -136, -1345, -4718, -11365, -22396, -38921, -62050, -92893? -132560 What is the next term in 263521, 1054103, 2371771, 4216549, 6588461, 9487531, 12913783, 16867241? 21347929 What is the next term in 2910, 10641, 23516, 41529, 64674, 92945? 126336 What is the next term in -261131, -522118, -783105, -1044092? -1305079 What comes next: -61493538, -61493539, -61493540, -61493541, -61493542? -61493543 What is the next term in 2168, 5084, 8000, 10916, 13832, 16748? 19664 What is next in 4437, 35128, 118345, 280350, 547405, 945772? 1501713 What is the next term in 568293, 1137354, 1706415, 2275476? 2844537 What comes next: 6884, 13957, 21244, 28745? 36460 What is the next term in -99652, -99682, -99734, -99808? -99904 What is the next term in 6199092, 6199093, 6199092, 6199089, 6199084, 6199077? 6199068 What is next in 1198495, 1198500, 1198505, 1198510? 1198515 What is next in -105492200, -105492200, -105492198, -105492194, -105492188, -105492180, -105492170? -105492158 What is the next term in -9276, -18225, -27172, -36117, -45060? -54001 What is next in -47980, -49505, -51030, -52555, -54080? -55605 What is next in -9670, -16719, -23768, -30817, -37866, -44915? -51964 What is the next term in -11915, -47659, -107243, -190667, -297931? -429035 What is the next term in -6586, -12810, -19034, -25258, -31482? -37706 What comes next: 1969, 3995, 6049, 8131, 10241, 12379? 14545 What is next in -2298, -2830, -3710, -4932, -6490, -8378? -10590 What is the next term in -622688, -2490825, -5604424, -9963491, -15568032, -22418053? -30513560 What comes next: -2784, -2706, -2644, -2598, -2568, -2554, -2556? -2574 What is next in -5613, -22349, -50285, -89415, -139733? -201233 What is the next term in -39044, -155764, -350298, -622646, -972808? -1400784 What is the next term in -369457, -1477847, -3325163, -5911405, -9236573, -13300667, -18103687? -23645633 What is next in 10524, 21925, 33322, 44715? 56104 What is next in 1565, 6434, 14617, 26126, 40973? 59170 What is next in -45120, -45160, -45216, -45288? -45376 What is the next term in -24496583, -24496586, -24496589, -24496
{ "pile_set_name": "DM Mathematics" }
t common divisor of 9630 and 90. 90 What is the greatest common divisor of 348 and 3567? 87 What is the greatest common factor of 12098 and 46? 46 Calculate the greatest common factor of 825 and 50. 25 Calculate the highest common factor of 132 and 39930. 66 What is the highest common factor of 8631 and 63? 63 Calculate the greatest common divisor of 1 and 37. 1 Calculate the highest common divisor of 24341 and 101. 101 What is the greatest common factor of 3104 and 679? 97 Calculate the highest common divisor of 302 and 4681. 151 Calculate the greatest common divisor of 1341 and 18. 9 Calculate the greatest common divisor of 268 and 20167. 67 Calculate the greatest common factor of 22 and 38. 2 Calculate the highest common divisor of 3306 and 1710. 114 Calculate the highest common divisor of 261 and 3480. 87 What is the greatest common divisor of 192 and 708? 12 Calculate the highest common factor of 2 and 53. 1 What is the highest common divisor of 70 and 490? 70 Calculate the highest common divisor of 893 and 1368. 19 What is the highest common factor of 119844 and 36? 36 Calculate the greatest common divisor of 2107 and 559. 43 Calculate the highest common factor of 840 and 4032. 168 What is the highest common factor of 323 and 51? 17 Calculate the highest common factor of 51 and 17. 17 What is the greatest common factor of 2608 and 32? 16 What is the highest common factor of 240 and 5? 5 What is the greatest common divisor of 24 and 162? 6 What is the highest common factor of 360 and 960? 120 What is the highest common factor of 690 and 810? 30 What is the greatest common factor of 117 and 624? 39 What is the greatest common divisor of 310 and 1674? 62 What is the greatest common factor of 231 and 6615? 21 What is the greatest common factor of 2279 and 53? 53 Calculate the greatest common divisor of 495 and 55. 55 What is the highest common divisor of 144 and 90? 18 Calculate the greatest common divisor of 126 and 36. 18 Calculate the greatest common factor of 51 and 24. 3 Calculate the highest common factor of 3895 and 615. 205 What is the greatest common divisor of 22 and 77? 11 Calculate the greatest common divisor of 112 and 70. 14 What is the highest common factor of 104 and 7592? 104 What is the highest common factor of 194 and 2? 2 Calculate the greatest common divisor of 14 and 21. 7 What is the greatest common factor of 105 and 84? 21 What is the greatest common factor of 18 and 8361? 9 Calculate the greatest common factor of 99 and 18. 9 What is the greatest common factor of 92 and 196? 4 Calculate the greatest common factor of 1070 and 80. 10 Calculate the highest common factor of 375 and 575. 25 What is the greatest common factor of 540 and 48? 12 Calculate the highest common divisor of 37 and 9213. 37 Calculate the highest common factor of 22714 and 82. 82 Calculate the greatest common factor of 28 and 868. 28 Calculate the highest common factor of 27 and 11934. 27 What is the greatest common divisor of 15 and 255? 15 What is the greatest common divisor of 110 and 55? 55 What is the greatest common divisor of 1173 and 138? 69 Calculate the greatest common divisor of 10 and 30. 10 What is the highest common factor of 368 and 176? 16 What is the greatest common factor of 29 and 1? 1 What is the highest common divisor of 10 and 93? 1 What is the greatest common divisor of 123 and 12669? 123 Calculate the highest common divisor of 6 and 33. 3 Calculate the greatest common divisor of 29 and 261. 29 Calculate the greatest common divisor of 1300 and 52. 52 Calculate the highest common factor of 45 and 972. 9 What is the greatest common factor of 738 and 144? 18 Calculate the highest common factor of 150 and 250. 50 What is the greatest common factor of 336 and 21? 21 Calculate the highest common factor of 3220 and 168. 28 Calculate the highest common divisor of 125 and 1175. 25 What is the greatest common factor of 1099 and 1256? 157 What is the greatest common divisor of 76 and 988? 76 What is the greatest common divisor of 1300 and 676? 52 What is the highest common divisor of 968 and 72? 8 What is the highest common factor of 1593 and 54? 27 What is the highest common factor of 6956 and 148? 148 Calculate the highest common factor of 85 and 187. 17 What is the highest common divisor of 5 and 2? 1 What is the greatest common factor of 72 and 384? 24 What is the greatest common factor of 1 and 4268? 1 What is the highest common divisor of 2204 and 464? 116 Calculate the greatest common divisor of 26 and 6786. 26 Calculate the greatest common factor of 84 and 300. 12 What is the greatest common factor of 110 and 3520? 110 What is the highest common factor of 35 and 1603? 7 Calculate the greatest common factor of 138 and 46. 46 What is the greatest common factor of 19586 and 14? 14 Calculate the greatest common divisor of 320 and 5. 5 Calculate the highest common divisor of 13 and 143. 13 What is the highest common divisor of 13 and 1469? 13 Calculate the highest common divisor of 28 and 126. 14 What is the greatest common factor of 784 and 28? 28 What is the highest common divisor of 3 and 249? 3 Calculate the greatest common divisor of 206 and 927. 103 What is the greatest common factor of 102 and 918? 102 Calculate the highest common factor of 38 and 304. 38 Calculate the highest common factor of 112 and 1848. 56 What is the greatest common divisor of 3657 and 1104? 69 What is the greatest common divisor of 2904 and 216? 24 What is the highest common factor of 94 and 329? 47 What is the greatest common factor of 3384 and 72? 72 Calculate the greatest common divisor of 425 and 51. 17 What is the highest common divisor of 28 and 378? 14 Calculate the greatest common divisor of 3 and 24. 3 Calculate the greatest common divisor of 3440 and 240. 80 What is the highest common factor of 11 and 33? 11 Calculate the highest common factor of 6109 and 596. 149 Calculate the greatest common factor of 1264 and 208. 16 What is the greatest common factor of 266 and 56? 14 Calculate the greatest common factor of 40 and 2740. 20 What is the highest common factor of 18102 and 168? 42 Calculate the greatest common divisor of 869 and 11. 11 Calculate the highest common factor of 47 and 235. 47 Calculate the highest common factor of 1720 and 160. 40 What is the greatest common factor of 51 and 5678? 17 What is the greatest common factor of 4 and 52? 4 What is the greatest common factor of 2672 and 32? 16 What is the greatest common divisor of 3377 and 22? 11 What is the greatest common divisor of 93 and 723? 3 What is the greatest common divisor of 14 and 254? 2 Calculate the highest common factor of 36 and 8244. 36 Calculate the highest common divisor of 24 and 1452. 12 What is the greatest common factor of 274 and 2? 2 What is the greatest common divisor of 324 and 180? 36 What is the highest common factor of 1368 and 6498? 342 What is the greatest common divisor of 256 and 6? 2 What is the greatest common factor of 69 and 23? 23 Calculate the greatest common divisor of 219 and 1971. 219 Calculate the greatest common factor of 649 and 22. 11 What is the greatest common factor of 16049 and 11? 11 Calculate the greatest common factor of 170 and 272. 34 Calculate the highest common divisor of 258 and 354. 6 What is the greatest common divisor of 15572 and 4? 4 Calculate the greatest common factor of 217 and 496. 31 What is the highest common divisor of 444 and 96? 12 What is the highest common divisor of 1271 and 1519? 31 What is the greatest common divisor of 3610 and 95? 95 Calculate the greatest common factor of 1256 and 1727. 157 What is the greatest common factor of 38 and 6422? 38 Calculate the greatest common factor of 96 and 42144. 96 What is the highest common divisor of 320 and 1808? 16 What is the greatest common divisor of 2279 and 159? 53 What is the highest common divisor of 34 and 8? 2 What is the greatest common divisor of 9 and 477? 9 What is the greatest common factor of 36 and 1128? 12 What is the greatest common divisor of 52 and 962? 26 Calculate the highest common factor of 8 and 40. 8 Calculate the highest common factor of 1936 and 16. 16 What is the highest common factor of 1088 and 1056? 32 Calculate the highest common div
{ "pile_set_name": "DM Mathematics" }
pose 3*g - l = 6*g. Let o = 688 - 688.6. Which is the biggest value? (a) g (b) 2/23 (c) o b Let h be (114/95)/(63/(-30)). Let s = 844/5317 + -2/409. What is the second smallest value in 0.4, h, 1/99, s? 1/99 Let g = -0.09 + 5.09. Suppose 6 = 5*d - 2*d. Let j be d*(-2)/6*1. What is the second smallest value in g, j, 0.05? 0.05 Let q be -4 - ((-1470)/9 - (7 + -5)). Let x = 161 - q. Which is the third smallest value? (a) -0.1 (b) 0 (c) x b Let u = 34709 - 34709.05. Let x = -0.6 - 2.4. What is the fourth smallest value in u, x, 2/11, 13? 13 Suppose -5*w - 2*h = h - 12, -3*h = -5*w + 18. Let d(x) = -x**2 + 3*x - 4. Let q be d(w). Let r = -67 + 68. What is the smallest value in q, r, -2? q Let l = -13.18 + 0.18. Let x = -5459 - -5456. Which is the second smallest value? (a) 4 (b) l (c) x c Let j = 0.0931 + 0.9069. Which is the third smallest value? (a) j (b) 2/5 (c) -2/7 (d) -5 b Let b = -3.791 + 0.561. Let o = b + 3.26. What is the second biggest value in o, 2/17, 0? o Let f = 6/59 - -271/236. Let u = 82949 - 82950. Which is the third smallest value? (a) 1 (b) -4/3 (c) u (d) f a Let p = 237 + -249.92. Let y = -1.08 + p. Let k = 68 - 70. Which is the third biggest value? (a) y (b) 3 (c) k (d) 0.4 c Let p be 24/84*77/12. Let j = p + -43/30. Let c = 191 - 188. What is the smallest value in 4, c, j? j Let d = 0.454 - -0.041. Let z = d - 5.495. What is the biggest value in z, -3/34, 2, -2/3? 2 Let t = -627 - -348. Let l = 278.7 + t. Which is the second biggest value? (a) -13 (b) -2/9 (c) 2 (d) l b Let r = 115 - 114.914. Let o = r - 26.086. What is the third smallest value in o, 0.1, -2/9? 0.1 Let q(g) = -g**2 - g + 131. Let f be q(-12). What is the third smallest value in 0.1, f, -1/189? 0.1 Let u = 6.8 + -0.3. Let k = u + -6. Let w be (-8 + 10)*(2 + 1). What is the second smallest value in w, 4, k? 4 Let j = 0.3 - 17.3. Let p = 282.9 + -266. Let d = j + p. What is the smallest value in 0.1, -2/5, d, 4/5? -2/5 Let x = -55.8 - 21.2. Let h = x + 82. Which is the smallest value? (a) -0.5 (b) -1 (c) h (d) -0.21 b Let f = 18207 + -18206. Which is the third biggest value? (a) -35 (b) f (c) -4 (d) 2/29 c Let p be 10/(-4) - (-13940)/6120. What is the biggest value in -0.01, p, -0.5, -6? -0.01 Let s = 42.67 + -38.67. What is the fourth smallest value in s, 0.4, 6.7, -3/2? 6.7 Let g = -40.32 + 41.32. What is the third biggest value in 3/4, g, -0.2, 11? 3/4 Suppose -15 = -5*g, 5*l - 2*g - 9 = -5*g. Let f = 3.3 + -3. Let s = 588/2977 - 10/229. Which is the fourth smallest value? (a) f (b) 6/11 (c) s (d) l b Let x = -24.756 + 22.756. Which is the fourth biggest value? (a) -166 (b) x (c) 0.3 (d) 1 a Let s = 22914 + -22808. Which is the biggest value? (a) -2/19 (b) s (c) -4/3 b Let d(i) = i + 7. Let j be d(-8). Let h(s) = 2*s**3 + 2*s**2 + s. Let v be h(j). Let y = -14.3 + 14.3. What is the biggest value in y, v, 0.2? 0.2 Let x = 155.23 + -155.3. Let u be 2 + 45/20 + -5. Which is the third smallest value? (a) -2 (b) -5 (c) x (d) u d Let t = 4272 + -4261. Which is the third biggest value? (a) 5 (b) t (c) -3 (d) -7 c Let q = 9.3 - 22. Let h = q + 15.7. What is the third smallest value in 0.2, h, -2? h Suppose -486*g - 60 = 486*g - 984*g. Which is the third smallest value? (a) g (b) 256/17 (c) 1 b Let h = -231.6 + 230.4. Let n be (1 - 1)/(8/8). What is the second smallest value in -2/9, h, n, 0.3? -2/9 Suppose -259*r = -13*r + 117342. What is the biggest value in r, 0, -6? 0 Let b = -0.1 + -0.1. Let m = -27642/5 + 5528. Let q = 46 - 44.1. What is the second smallest value in -5, b, q, m? m Let o = -929/6 + 311/2. Let h = 1 + -3. Let l be (-4)/(144/(-68)) + h. Which is the biggest value? (a) 6 (b) o (c) l a Let b = 91.65 - 51.65. What is the smallest value in -15/8, 3, b? -15/8 Let q = -3371 - -3370.5. Which is the biggest value? (a) q (b) 2 (c) -355 b Let x = -1.08 - 0.02. Let p = -9 + 9.15. Let v = -0.55 + p. What is the second biggest value in v, x, 5? v Let j = -0.73 + -1.97. Let p = -224 - -227.1. Let v = j + p. What is the biggest value in v, -0.7, 1/2, 4/9? 1/2 Let o = -9364 + 9359. Which is the fourth biggest value? (a) -0.26 (b) -12 (c) o (d) -2/13 b Let p = 5 - 1. Let o(k) be the second derivative of k**3/6 - 3*k**2/2 + 246*k. Let t be o(p). Which is the third smallest value? (a) t (b) -0.01 (c) -1/4 a Let x be 1/((-42)/(-13828))*(-4)/(-920). Let d be ((-14)/315)/((-184)/(-12)). Let r = x + d. Which is the third smallest value? (a) r (b) 5/3 (c) 2 c Let w = -119 - -73. Let j = w + 48. Let t = -0.5 + 0.8. What is the smallest value in t, 5, j? t Let o = -178.905 + 179.905. Let f = 4 - 4.4. What is the third biggest value in o, f, 0.1, -6? f Let j = -2.756 + 0.206. Let s = j - -2.25. What is the third biggest value in -2, s, 1/2? -2 Let q = -61174289.001 + 61149164. Let g = q + 25113. Let j = g - -0.001. Which is the third smallest value? (a) -3 (b) -5 (c) j (d) 1 a Let j = 96139/375 + -14/375. Let f = j - 255. Which is the third smallest value? (a) f (b) -1 (c) -5 a Let i(f) = -f**3 - 41*f**2 + 46*f + 167. Let r be i(-42). What is the biggest value in -4, r, -0.07, 0.06? 0.06 Let n = -0.3 - 0.2. Let y = 188.95 + 3.05. Let q = -191 + y. Which is the smallest value? (a) n (b) 0.3 (c) q (d) 2/7 a Let y = 5.3 + -1.3. Let r(b) = -b + 2. Let k be r(-3). Let z = 0.7621 - 0.2621. What is the second biggest value in z, y, k, -0.3? y Suppose -24*w + 220 = 31*w. Which is the biggest value? (a) 0.2 (b) 145 (c) w b Let l = 0.59 + -0.99. Let j be -1 - (-8 - -4) - -1. Let h = 0.5 + -1. What is the biggest value in h, l, 2, j? j Let x = -7 - -6.95. Let j be (-4130)/(-8496) - 2/18. What is the third biggest value in x, j, 2/5, 1/3? 1/3 Let h = -0.3 - -0.2. Suppose 754 = -p + 1509 - 752. What is the smallest value in -3, -0.2, h, p? -3 Let i = -1118/7 + 160. Let p(l) = -5*l**3 - l**2 + 436*l - 434. Let r be p(1). Which is the second biggest value? (a) -0.092 (b) r (c) i (d) -2/3 a Let v = -39.173 + 39.673. Which is the second biggest value? (a) -253/5 (b) v (c) 1/6 (d) -0.2 c Suppose -730 = 34*g - 866. Let w = -7 + 3. Which is the second biggest value? (a) w (b) -1/3 (c) g b Suppose 5*l = 3*w + 3*l - 446, -4*l = -14*w + 2060. Which is the third biggest value? (a) w (b) 2/7 (c) -9 c Let y(h) = 40*h + 248. Let w be y(-6). Which is the fourth biggest value? (a) w (b) -1/3 (c) 0 (d) -78/7 d Let w be 8505/2673 + (-1 - -1) + -3. Let f = 3.65 - 0.05. Let i = 4 - f. Which is the biggest value? (a) w (b) -4 (c) i (d) -2 c Let r be (-3)/(27/2) - 192/(-1107). Let o be (8/(-3))/(26/(-39)). Suppose -o*x + x = 3*m + 3, 25 = 5*m - x. What is the third biggest value in m, r, -2? -2 Let u be 1 - (-2 + (-9)/(-6))*4. Let k be (3 - 2)*u*(-3)/(-18). Which is the third biggest value? (a) 0 (b) k (c) -0.4 c Let v = -4620 - -4629. What is the second biggest value in 1, -21, v, -2/9, -1/3? 1 Let c = 0.1444 + -979.1444. Let r = c - -987. What is the fourth biggest value in 0.1, 0.9, 2/3, r? 0.1 Let r = -92 + 80. Let c(o) = -o**3 - 14*o**2 - 13*o - 12. Let x be c(r). Let g = 428/3 + x. What is the third biggest value in 1/2, g, 20? g Suppose 17*j - 19*j - 8 = 0, -2*j = 5*i - 27. Let p = -0.05 - 0.45. What is the third smallest value in p, 2/3, i, 4? 4 Let j = 1312.6 + -1313.6. Which is the fourth biggest value? (a) 0 (b) j (c) -532 (d) -0.3 c Let c = -41995/118 - 36/59. Let s = c - -358. What is the smallest value in 2/21, s, 1/4? 2/21 Let g be ((-15)/9)/(-1) + -1. Suppose 423 = 40*m + 23. Suppose -16*o - 3*v = -21*o + m, 4*o - 5*v = 8. What is the second biggest value in 0.1, g, 5, o? o Let a = 0.4855 - -39.7245. Let r = a - 39. Let v = r + -0.71. What is the second smallest value in -0.1, -0.5, 1/4, v? -0.1 Let v = 233140.6 + -233141. Let t = 13 + -28. What is the second smallest value in t, -1, v? -1 Let z = 22 - 20. Let q = -4 + z. Let i = 0.876 + -0.796. Which is the smallest value? (a) 4 (b) i (c) -4 (d) q c Let q be ((-8)/(-6 - -4))/(-37 - -33). Let v = 12/13 - 10/39. Which is the second smallest value? (a) q (b) v (c) 0.3 c Let j be (3/15)/((-2)/(-4)). Let f = 958.04 + -958. What is the smallest value in -0.2, f, j? -0.2 Let l = 0.8 - 14.8. Let r = l + 18. Let o be ((-1)/4)/(
{ "pile_set_name": "DM Mathematics" }
Solve r + q*a = 4*a - 2, 2*a = r - 10 for r. 2 Suppose -287*b + 11 + 1137 = 0. Solve -4*k = -2*v + 18, 0 = 5*v - b*k + 368 - 383 for v. -1 Suppose 4*g - 16 = 3*f, 5*g - 5*f + 45 = 65. Solve r = -3*s + 12, -g*r - 11*s - 17 = -12*s for r. -3 Let v(d) = -3*d**2 + 68*d - 29. Let c be v(12). Let b = 359 - c. Let u be 32/(-20)*25/(-2). Solve -8 = 4*z - 2*i, -z + b*i - 8*i = u for z. -4 Let c(t) = -3*t - 43. Suppose 149 + 106 = -15*n. Let q be c(n). Solve 5*p + 4*m - 21 = 0, 4*p + 0*m - 3*m + q = 0 for p. 1 Let f = 86 + -55. Suppose -3*r = 42 - 123. Let n = f - r. Solve 0 = -c + 2*u - 4 + 5, -16 = n*c + 2*u for c. -3 Let n be (-8720)/(-360) - (1 - 14/18). Suppose 11*q - 31 = n. Solve -4*p = 4*v - 28, 1 = -q*p + 2*v + 8 for p. 3 Let a = 749 + -703. Suppose -209 = 27*j - a*j. Solve -g - 2*g = -o - j, -5*g + o + 21 = 0 for g. 5 Suppose -3*v = 1 - 37. Let r = v + -8. Suppose -2*k + 6 = r*h, -2*h = 2*k - 4 - 4. Solve 0 = -k*o + 2*o + p + 15, -2*p = 0 for o. 5 Suppose 0 = -2*p - 1 - 17. Let b(q) = q**2 + 5*q - 21. Let i be b(p). Let g = -1 + i. Solve -3*h + 4*a = -g, -2*h - 4*a = 2*h for h. 2 Let v(i) = 10*i**2 - 507*i + 371. Let r be v(50). Solve -5 = -4*f - 2*z - r, -2*f + 5*z + 16 = 0 for f. -2 Let r be 16/40 + (1 - 366/(-10)). Let m = -35 + r. Solve -x + 3*i + 20 - m = 0, 0 = -2*x + 3*i + 22 for x. 5 Let t = 650 + -648. Solve -5*u - 25 = 0, -t*v - 4*u = -2*u + 4 for v. 3 Suppose -3*h - 2*h = f - 30, 2*h = 10. Suppose f*z = 9*z - 68. Let j be (-456)/(-30) + (-12)/(-15). Solve -2*m - z = 2*l - 7*l, m = 5*l - j for l. 3 Let i = -47 + 20. Let z be (0*3/i)/(-2). Solve 0 = 2*u - 2*v + 4, z*v - 5*v + 22 = -u for u. 3 Suppose o + 17 = 4*j + 16, 8*j = 40. Solve -3*f = -2*q - 17, -o*f - 4*q + 21 = -14*f for f. 5 Suppose 10*y - 15 = 165*y - 635. Solve 0 = -y*g - 20*z + 22*z - 20, g + 12 = 4*z for g. -4 Suppose -u - 6 = -2*c, 2*c = -2*u + 6 + 6. Let f = -79635 + 79637. Solve -f*k = 4*j + c - 24, 5*k + j = 23 for k. 4 Let m = -37 - -39. Let n(c) = -1 + 4*c - 13*c**2 - 11*c**m + 27*c**2. Let y be n(-2). Solve 5*r + u + 7 = 0, y*r + u + 6 - 1 = 0 for r. -1 Let k(c) = -3*c**2 - 34*c + 28. Suppose 252 = -4*f - 17*f. Let n be k(f). Solve -4*i + 4*a = -0*a - n, -i = 3*a - 17 for i. 5 Let u(c) = 35*c**2 + 3*c + 4. Let j be u(-1). Let y be (9/(-2))/(j/(-24)). Solve f + 5 = -0, 0 = 5*m + y*f + 25 for m. -2 Suppose -29*f - 123 = -70*f. Solve -2*h - f = 3*s - 2, -2*s + 11 = -h for s. 3 Let c(a) be the first derivative of a**4/4 - 17*a**3/3 + a - 23. Let u be c(17). Let v = -14 + 17. Solve v*i = -o + 7, 4*o - 16 = i - u for o. 4 Let z(n) = -3*n + 31. Let g be z(6). Let l be 147/28 + (-1)/4. Suppose -l*f = -g*f. Solve -5*t = -3*h - 8, f*t - 5*h + 24 = t for t. 4 Suppose -z = 3*z - 12. Suppose z*d = 59 + 85. Suppose 23*j = 27*j - d. Solve 5*p = -3*t - 0*p - j, 8 = -2*t + 5*p for t. -4 Let s(v) = -3*v - 8. Let w be s(-9). Suppose -u - 5*k + 106 = 0, 2*u - 4*k - 133 = 121. Let f = u + -116. Solve 4*j - w = -5*z, -z = z - j - f for z. 3 Let c(o) = -o**3 + 4*o**2 - 7*o + 14. Suppose -12 = -17*g + 13*g. Let k be c(g). Solve 2*t + 4*p + 9 = t, k*p + 15 = 3*t for t. 3 Let d = 29 + -23. Suppose 18 - 42 = -d*r. Solve r*n + 19 = -h, -h - 4*h + n = -10 for h. 1 Let d = -6725 + 6725. Solve d = 5*k + 2*n - 25, 5*k + n = 5*n + 25 for k. 5 Suppose -37 = 4*a - 57. Suppose 2*t + 7 = a*t + 5*z, 5*t + 4*z = 16. Solve t*v + 16 = 4*p, -18 = -4*p - 2*v + 4*v for p. 5 Let f = 168 + -165. Suppose -10 = -4*j + 6. Suppose 0*u = j*u - 8. Solve 6 = 2*x - 4*v, -f*x + u*v - 4*v - 15 = 0 for x. -3 Let l(o) = o**3 - 5*o**2 + o - 3. Let c be (129/(-18) - (-5)/30)*10. Let m = c - -75. Let q be l(m). Solve -5*n + 3*d + 2 = -4, -8 = q*n + 4*d for n. 0 Let t(l) = 4*l + 16. Let y(m) = m - 11. Let n be y(7). Let k be t(n). Solve 0*p - 11 = -4*p + d, 3*p + 2*d = k for p. 2 Let u be ((-3507)/(-334))/((-2)/(-4)). Solve -u = 4*d + h, -4*d + 3*d + 4*h = 1 for d. -5 Let d be (-62)/(-12) - (-6 - (-148)/24). Suppose -4*l - d*j = 33, -2*l = j - 2*j - 1. Let v be ((3 - -3)/l)/(-1). Solve 1 = 3*s - w - 4*w, -v*s = -w - 5 for s. 2 Let g = -5422 + 5422. Solve -4*t = 4*s + 8, 6 = -2*t - g for s. 1 Suppose 185*g - 172*g = 39. Solve 12 = 4*v - 0*i - i, v - g = 4*i for v. 3 Let y = -5974 - -5983. Solve -f - 8 = 3*b, 2*b + 21 = -2*f + y for f. -5 Let j be (20/2040*17)/(4/48). Solve -5*u + 2 - 17 = -j*w, 0 = -5*u - 3*w - 15 for u. -3 Let g = 1 - 3. Let r = 4 + g. Suppose -295*x + 298*x = 4*s - 19, -3*x + 13 = 4*s. Solve r*n = 2, m + n - s = -2*n for m. 1 Suppose 0 = 2*a - 2, 0 = -j + 3*j + 2*a - 10. Let y(w) = 168*w + 2861. Let g be y(-17). Solve -3*s + 7*s - g*b - 5 = 0, -4*b = 5*s + j for s. 0 Let p(d) = 2*d**2 + 24*d - 52. Let c be p(2). Solve 5*t - 9 = 4*a, 2*a - c*t = -3*a for a. 4 Let q(o) = 4*o**2 - 68*o - 240. Let g be q(20). Solve 2*f - 4*d - 19 = -f, -d - 7 = g for f. -3 Suppose -37*b + 150 = 13*b. Solve -n + j = -2*n - 4, n + b*j = -12 for n. 0 Let f = -2179 - -2191. Solve -29*r + 26*r + f = 3*q, 5*q + 8 = 2*r for r. 4 Suppose -31 = -4*v - 23. Suppose 0 = v*p + 29 - 33. Suppose p*q - 10 = 10. Solve 0 = 2*s, -3*s + q = -5*x - 0*s for x. -2 Suppose 14*v - 38 = 13*v - 18*v. Solve 0*u - v*j = -4*u + 10, -4*j = -4*u + 4 for u. 4 Let m = -48 - -56. Suppose -32*v - m = -28*v. Let a be (v - 15/5)/(-1). Solve -7 = 3*f + r, 0*f - a*f + 5*r = 25 for f. -3 Let w be -4 - (4/(-6))/((-2)/(-9)). Let u be (5/w - -2) + (28 - 7). Suppose 9 = 3*c, -5*c + u = -4*n + 3. Solve -h + 5*t + n*t = 8, -h - t = -4 for h. 2 Let x be (157 - (-8)/2)/(3/3). Suppose 7*u = -0*u + x. Solve i - 1 = 2*w + 8, -u = 5*w - 3*i for w. -4 Suppose -4*d = -5*w + 42, -3*d = 2*w - 3 - 0. Let j be (-2)/3 - w/(-9). Solve 0 = 4*y + 5*q + 37, j = -y + 2*y - 4*q - 17 for y. -3 Suppose -93*y + 64*y + 493 = 0. Solve y = -5*l - f, -l - 11 = 2*l + f for l. -3 Let r be ((-6)/4 - -2)*8. Suppose -2 - 3 = 2*p - 5*n, 20 = p + 5*n. Suppose p*o = 94 - 19. Solve b - o = 7*g - 5*g, -4*g - 40 = -r*b for b. 5 Let c be 4/(-90)*-5 + 1378/117 + 3. Solve c = 3*x - 2*l, 2*x + 4*l - 10 = l for x. 5 Let s be 30/(-90) + 44/6. Let r(l) = 8*l - 56. Let g be r(s). Solve 2*a - o - 7 = g, -3*o - 6 = -4*a + 9 for a. 3 Suppose -3*f = x - 82, -4*x + 0*x + 296 = -4*f. Suppose -77*g + 21 = -x*g. Solve 4*j = b - 15, g + 4 = -2*j - 3*b for j. -5 Let c = -62281 + 62286. Suppose -3*f + 7*f - 3*m - 16 = 0, 5*f + 3*m = 20. Solve 0 = -5*b + c*n + 30, f*n + 3 = -13 for b. 2 Let d(x) = -x**3 - 25*x**2 + 27*x + 63. Let i be d(-26). Suppose -7*u = -51 + i. Solve 2*o = -4*y + 10, 0 = 3*y + y - u*o - 14 for y. 3 Let u be (-11178)/(-2430) + 8/20. Suppose x - 4*d + d - 2 = 0, -4*x + 4*d - 16 = 0. Let n = x + 10. Solve u*m + 2*p = p - 10, -2*m = -p - n for m. -1 Suppose -7*i - 162*i + 5822 = -27*i. Solve 6 = 40*n - i*n, 2*q - 2*n - 6 = 0 for q. -3 Let w = -388 + 277. Let k = w + 115. Solve 5*u - y - 8 = 0, -3*u - k = -4*y - 19 for u. 1 Let k(d) = -3*d**3 - 2*d**2 - d + 2. Let f be k(-2). Suppose -21*c = a - 16*c + 20, -35 = -5*a + 2*c. Solve -3*t - 12 = l, 5*l + f = -a*t - 0*t for l. 0 Let d = -50 - 11. Let x = -76 - -22. Let k = x - d. Solve -a - 4*a - s = -8, -4*a + k = s for a. 1 Let j = 873 - 883. Let u be (1/((-50)/(-20)))/((-2)/j). Solve -u*x = -p - 3*x + 2, p + 3*x = 2 for p. 2 Let i be (8/(16/(-6)))/(7/42*-9). Solve -4*m + 4*p + 6 = i, 4*m - 4 = -3*p for m. 1 Let x be 353/2471 + -1 + 459/21. Solve -4*d = 3*l, -x*l = -3*d - 17*l for d. 0 Let s be -1 + 20/15*-9. Let y(c) = -c**2 - 10*c + 44. Let x be y(s). Suppose -5 = -z + 4. Solve 4*j = p + 13, x*p + 2*j - 14 = z for p. 3 Let b = -46 + 51. Suppose -2*u = j - 11, -43 - 23 = -4*j + 3*u. Solve -3*d = -0*d - b*a - j, 0 = -4*a for d. 5 Let x be (-16)/20*(-20)/(-8). Let p be (-3)/(-18) - x/(-12). Solve -4*t - 5*r + 2 = p, -r - r = -4 for t. -2 Let o = 3977 + -3977. Solve 2*z + 4 = 4*z, o = -3*j - 5*z + 10 for j. 0 Suppose 4*q = 4*c + 20, -q + 405 - 388 = 2*c. Solve 4*v = 3*g - 23, 4*g = -v + q + 9 for g. 5 Let m = 228 - 204. Suppose -18*l = -m*l. Solve -u + 1 = l, -2 - 3 = 2*q - u for q. -2 Suppose -2 + 138 = 17*l. Solve m - 3*f + 2 = 0, m + 5*f - 6 = -l for m. -2 Let v(r) = r**2 - 20*r + 9. Let f be v(13). Let o(g) = -g**3 - g**2 - 11*g - 7. Let j be o(-4). Let l = f + j. Solve -4 = -c + 4*i, 0 = 2*c - i + 4*i + l for c. 0 Let n = 137 + -82. Let r = 83 - n. Suppose
{ "pile_set_name": "DM Mathematics" }
/(-2)*-4. What are the prime factors of -2 + 11/5 + j/15? 2, 5 Let m(q) = 5*q**2 - 4 - 4*q**2 + 28 - 10*q + 2. What are the prime factors of m(8)? 2, 5 Suppose 4*u - 768 = 5*i + 2372, -4*u + 3*i = -3140. What are the prime factors of u? 5, 157 Suppose -51*k + 55*k = 16. Suppose 0 = -2*j + k*s + 110, -3*j + 4*s + 161 = -s. List the prime factors of j. 47 Let z = 734 + -515. What are the prime factors of z? 3, 73 Let w(o) = 4*o**2 + 45*o + 389. What are the prime factors of w(-9)? 2, 7, 11 Suppose -4*j + 5*l - 17 + 4 = 0, 2*j - 4*l = -14. Let f(d) = -10*d - 4*d - j + 2*d + 5*d. List the prime factors of f(-5). 2 Let i(l) be the third derivative of -l**4/12 + 5*l**3/3 + 7*l**2. List the prime factors of i(-7). 2, 3 Suppose 3*n - 2*n = 0. Let f = n - -2. What are the prime factors of -12*f/(4/(-3))? 2, 3 What are the prime factors of 170898/49 - (-2)/7? 2, 109 Let m(l) = l - 1. Let k(i) = -2*i**2 + 12*i - 16. Let d(a) = 2*k(a) - 28*m(a). Let u be d(-3). List the prime factors of (-50)/4*u/35. 2, 5 Suppose 2*y + 3*y = -5*j + 2155, -5*y = 4*j - 2150. List the prime factors of y. 2, 3, 71 Let u = 71 - 69. Suppose 3*s + 3*b = 21, 39 = 5*s + 5*b - 4*b. Let i = u + s. List the prime factors of i. 2, 5 Let r(k) = -k**3 - 16*k**2 + k + 5. Let x be r(-16). Let z = 14 + x. Suppose 45 = 4*l - n, z*l - 4*n - 47 = -10. What are the prime factors of l? 11 Let v = -43 + 39. What are the prime factors of 27 + 0 - (v + 8)? 23 Let x(r) = -r**3 + 25*r**2 - 27*r + 43. What are the prime factors of x(23)? 2, 3, 5 Let l(s) = 2*s**2 + 15*s + 13. Let a be l(-5). What are the prime factors of 2/((-406)/(-1182) - (-4)/a)? 197 Suppose 5*g = 25, p + g + 0*g - 3 = 0. Let l(i) = i**3 + 3*i**2 + i + 1. What are the prime factors of l(p)? 3 Suppose 30*q + 240 = 34*q. Let p = q + -26. List the prime factors of p. 2, 17 Let s(p) = -p**3 + 10*p**2 + 12*p - 45. What are the prime factors of s(9)? 2, 3 Suppose -3*c - 2*j + 4073 = 0, -10*j + 6787 = 5*c - 6*j. List the prime factors of c. 3, 151 Let i be 6/18 + 10/6. Suppose m - b - 5 = 0, 0 = -i*m - b + 10 - 0. Let v(c) = c - 3. List the prime factors of v(m). 2 Let r(v) = 26*v + 1. Let i be r(8). Let g = i - 132. What are the prime factors of g? 7, 11 Suppose 12*q = 90061 - 24565. What are the prime factors of q? 2, 2729 Let i be (-6678)/90 - 2/(-10). Let n = -52 - i. Let s = 19 + n. List the prime factors of s. 41 Suppose -32304 = -2*z - 4*z. What are the prime factors of z? 2, 673 Let j(t) = -t**3 - 30*t**2 + 69*t + 401. What are the prime factors of j(-33)? 13, 107 Let h = 28 - 18. Let o = h - 12. List the prime factors of o/(-4)*1*14. 7 List the prime factors of (1089/(-18))/(0 + (-5)/130). 11, 13 Suppose -2*t - 98 = -588. What are the prime factors of t? 5, 7 List the prime factors of ((-11540)/60)/(1/(-3)). 577 Let y(l) = -25*l**3 + 8*l**2 + 3*l - 46. What are the prime factors of y(-5)? 2, 3, 17 Suppose 2*g = 7*g + 3*u - 3393, 2033 = 3*g - u. List the prime factors of g. 2, 3, 113 Suppose s - 1 + 3 = 0, -3*s - 595 = -f. Suppose -4*g + f = -75. List the prime factors of g. 2, 83 What are the prime factors of (-1744)/(-6)*(71/4 - -1)? 2, 5, 109 Let d = 11 - 8. Suppose -2 = d*v - 2*v. List the prime factors of ((-3)/v - 1)*142. 71 Let h(b) = b**2 - 12*b + 4. Let l be h(6). List the prime factors of l/160 - (1082/(-10) + 2). 2, 53 Let w be (-3 + 8/4)/(-1). Suppose -j = -t - w, -2*j - 15 = 3*j. List the prime factors of t*(2/(-1) + -3). 2, 5 List the prime factors of (-8)/(-36)*-12 + (-22990)/(-6). 7, 547 Let p(k) = -k**3 + 14*k**2 + 24*k + 4. List the prime factors of p(13). 5, 97 Suppose 40 = 5*d + 25. What are the prime factors of -4 - d*(-116)/3? 2, 7 Let b = 6 - 4. Suppose b*s = -s + 21. Let z = s - -1. What are the prime factors of z? 2 Let o = -463 + 644. List the prime factors of o. 181 What are the prime factors of 640561/244 - (0 - (-1)/4)? 3, 5, 7 Let p(z) = 3*z - 7. Let i(s) be the first derivative of s**2 - 8*s + 6. Let x(v) = 6*i(v) - 7*p(v). What are the prime factors of x(-1)? 2, 5 Let o(w) = -w**2 + 10*w - 12. Let g be o(8). Suppose -4*r = -4 - g. Suppose 22 = l - 4*q, -5 + 56 = r*l - q. What are the prime factors of l? 2, 13 Let s(m) = 2126*m + 18. What are the prime factors of s(1)? 2, 67 Let y be (0 + -1)*(-19 + 16). Suppose 2*t - 66 = -2*c, 0 = t - 6*t - y*c + 173. List the prime factors of t. 37 Suppose 4*k + 2*y + 0*y = 14, -26 = -4*k + 2*y. Let x(w) = w**3 - 5*w**2 - 4*w + 8. Let t be x(k). What are the prime factors of ((-44)/(-8))/((-1)/t)? 2, 3, 11 Suppose m + 1 = 0, -2*w - 4*m + 230 = -2918. What are the prime factors of w? 2, 197 Let h be 33 - (70/(-30) + (-2)/3). Suppose -v = -2*f - 12, 4*v + 0*v - 5*f = h. What are the prime factors of v? 2 Suppose 2*m - 191 - 275 = 0. Let o = m - 163. List the prime factors of o. 2, 5, 7 Let w(k) = -k**3 - 20*k**2 + 21*k + 2. Let l be w(-21). Suppose 92 = 2*c - 2*g, l*g + 48 = 2*c - c. What are the prime factors of c? 2, 11 Let g(w) = -9*w**3 + 2*w**2 + 3*w - 2. Let m = 98 - 100. What are the prime factors of g(m)? 2, 3 Suppose 2*w = -3*b + 707, w - 370 = 4*b - 1320. Let i be b/(-9) - (-2)/(-3). Let f = i - -42. What are the prime factors of f? 3, 5 Let p(s) = s**2 + 2*s + 2. Let a = 6 + -3. Let r be p(a). Suppose 0 = -0*f + f - r. What are the prime factors of f? 17 Suppose -5*g + 2 = -8, g = -4*j + 1274. List the prime factors of j. 2, 3, 53 Let m = -340 - -333. Let o(w) be the first derivative of w**4/4 + 2*w**3 - 9*w**2/2 - 2*w + 1. What are the prime factors of o(m)? 2, 3 Suppose -4 + 36 = 2*k + 3*r, -3*k = -r - 37. Let m(o) = -3*o + 11. Let x(y) = 6*y - 22. Let w(p) = -5*m(p) - 2*x(p). List the prime factors of w(k). 2, 7 Suppose -3*n + 2111 = -5*l, 2*n = 3*n - l - 703. List the prime factors of n. 2, 3, 13 Suppose 3*j - 3*u - 1608 = 0, -305 + 1389 = 2*j + 2*u. List the prime factors of j. 7, 11 Suppose 7*q = 1578 + 3945. What are the prime factors of q? 3, 263 Suppose -60 = -2*f + 4. Suppose t + f = 37. What are the prime factors of t? 5 Let k be (-1 - 101) + -25 + 27. Let g = -46 - k. List the prime factors of g. 2, 3 Suppose 4 = -2*m - 2*h, -5*h = m - 9*h - 8. Suppose -20 - 30 = 5*c. List the prime factors of m - c - (18 + -22). 2, 7 Suppose 750 = 3*w + 24. Suppose -3*z + 2*y = -w, 6 = -2*y - 2. What are the prime factors of z? 2, 3, 13 Suppose w + 482 = 2*a, 2*w + 234 = a - 2*w. List the prime factors of a. 2, 11 Let f(b) = b**2 - b + 153. List the prime factors of f(-22). 659 Let g = -3 - -19. Suppose -52 = -g*n + 12*n. What are the prime factors of n? 13 Let p be 2/(-5) - (-27)/5. Suppose b = p*b. Suppose -3*l + l - 5*d + 99 = b, 5*d = 2*l - 49. What are the prime factors of l? 37 Suppose -74*b = -80*b + 6684. What are the prime factors of b? 2, 557 Let d = 12 - 8. Suppose -9 = -7*l + d*l. Suppose 3*c - c - 32 = -2*z, l*z + 72 = 5*c. What are the prime factors of c? 3, 5 Suppose 9255*a - 7392 = 9247*a. What are the prime factors of a? 2, 3, 7, 11 Let y(g) = 18*g**2 + g + 1. Let r be y(-1). Suppose v - 3*b = r, 5*v + 7*b + 5 = 3*b. Suppose -20 = -w + h, w = -2*h - v*h - 10. List the prime factors of w. 3, 5 Let k = 1702 + -1050. What are the prime factors of k? 2, 163 List the prime factors of 38/76*6*487. 3, 487 List the prime factors of (162/(-4))/((-25)/250). 3, 5 Let k(v) = -v**3 + 6*v**2 - 9. Let m be (-15)/3*(-2)/2. List the prime factors of k(m). 2 Let k be -38 + (0 - (2 + -3)). Suppose -35 - 22 = -t. Let m = k + t. What are the prime factors of m? 2, 5 What are the prime factors of 5 + 2496/(7 + 1)? 317 Let c = -67 - -152. Let y = c - 17. What are the prime factors of ((-8)/16)/((-1)/y)? 2, 17 Let j be (-4)/12 + (-1)/(-3). Let n be 0/(2 + 2 + -1). Suppose j = v - b - 5, 3*v + 4*b + n - 1 = 0. What are the prime factors of v? 3 Let d be 72/42*(78 - 1). Let t be ((-15)/(-10))/(9/d). What are the prime factors of ((-33)/t)/(6/(-212))? 53 Let k(i) = -i**3 - 10*i**2 - 9*i - 8. Let w be k(-8). Let v = w - -30. Let q = v + 55. What are the prime factors of q? 3, 7 Suppose -125*x + 112*x = -63830. What are the prime factors of x? 2, 5, 491 Let b(x) = -3*x - 12 - x + 6*x + 0*x. What are the prime factors of b(7)? 2 Let x(q) = 53*q**2 + 18*q + 36. What are the prime factors of x(-8)? 2, 821 Let j be 7/(-63)*6 + 431/3. Let n = j - 6. List the prime facto
{ "pile_set_name": "DM Mathematics" }
)/c**(-4))/(c**2/c)**(-45)) assuming c is positive. c**(-3453/55) Simplify ((p**(1/5)/p)/p*p)/p**(-10)*p*p*p**(-1/10)/p*p**(-24)*p*p assuming p is positive. p**(-119/10) Simplify (w**(-2)*(w**(-5/4)*w)/w*w)/(w**(1/11)/(w/w**(-4)))*(((w**(-1/2)*w)/w)/(w*(((w*w**0)/w)/w)/w*w))/(w**(-1))**(1/13) assuming w is positive. w**(1279/572) Simplify (i**(-2)*i*i**0*(i*i/(i/i**(-7)*i))/i**(-3/7))/((i*i**(-2)/i)**(7/4))**21 assuming i is positive. i**(923/14) Simplify ((z**14*z**(-12)*z)/(z/z**22*z/(z/((z**(7/2)/z)/z)*z)))**(1/40) assuming z is positive. z**(47/80) Simplify ((l**(-1/5)/(l*l/(l*l**(1/6))*l))/(l/(l**1*l)*l*(l**0*l)/l))/(l*l**2*l*l/(l/(l/(l**(-7)/l*l))))**12 assuming l is positive. l**(-4381/30) Simplify (((t**(4/5)*t**(-5/4))/(t*t**0*t/(t**(-1/5)*t)*t*t))**20)**12 assuming t is positive. t**(-876) Simplify (s*s**0*s*s)**(-2/23)/(s/(s/((s/(s/(s/(s*s**1)*s*s*s))*s)/s))*s**(-8))*(s*s/(s*s/(s**(1/6)*s)*s*s*s*s*s)*s**3)**9 assuming s is positive. s**(-81/46) Simplify ((p*p**(1/2)*p)/p**19*(p/((p**(-4/3)/p*p)/p))/(p**9/p*p))**(3/46) assuming p is positive. p**(-133/92) Simplify (((i/i**(-7/4))/(i**8/i))/((i*i*i**(-11/5)*i*i*i)/(i*i/(i*i**(-16)))))**40 assuming i is positive. i**398 Simplify (k**(2/5)/(k*k/(k*k**9)))/(k**(-1/5)/k*(k/(k**(-5/2)*k*k))/k)*((k/(k/k**1*k))/k*k**(-3/16))**(-1/5) assuming k is positive. k**(747/80) Simplify ((k**24/(k*k/(k**(-16)*k)*k))/(k**13)**14)**(-37) assuming k is positive. k**6512 Simplify (b**(-23)/b)**(-19)*((b/(b*b/(b*b/b**(-5)*b*b*b*b)))/b)**43 assuming b is positive. b**843 Simplify (a**(3/7)/(a*((a*a*a**2*a*a)/a*a)/a*a*a))**(-3/7)*a**(-2/15)*(a/a**0)/a*(a/(a*a**4*a*a))/a**(-2/5) assuming a is positive. a**(-1829/735) Simplify ((y**1)**17/((y/(y*y*y/(((y**(-6)*y)/y)/y)*y))/(y*y**9)))**(-1/13) assuming y is positive. y**(-37/13) Simplify ((i*i*i**(-18/5)*i/(i/(i**(-7/2)*i)*i*i))/((i*i/(i/(i/((i/((i/i**(7/6))/i))/i)*i)))/(i**15*i)))**(5/9) assuming i is positive. i**(121/27) Simplify (((x/(x/x**(-27)))/x)/((x*x/x**(2/13)*x*x)/x)*x**37/(x*x*x*x*x/x**7))**(1/16) assuming x is positive. x**(53/104) Simplify ((z*z**(-14))/z*(z/(z*z/z**(-1/7))*z)/z)/(z**(-8/9)/(z/(z*z/(z**(-8/11)*z)))) assuming z is positive. z**(-10382/693) Simplify (g**2/((g*g**(1/8)*g)/g))/(g**2*(g*(g/(g**(1/13)/g))/g)/g)*((g**(-4)*g)/(g/(g*g/((g*g*g/(g/(g*g*g**(-2/9)*g))*g)/g*g))))**(-7) assuming g is positive. g**(49043/936) Simplify (r*r**(2/61)*r*r)**(9/10)/((r*r/(r*r**(-4/17))*r)/(r/(r*(r**(-19)/r)/r*r))) assuming r is positive. r**(42505/2074) Simplify (w**(-2/5))**(2/9)*(w**(-2/5)/w)**(23/6)*w**(-5/3)*w*w**(-2)*(w**(-1)/w*w*w)**(1/3) assuming w is positive. w**(-731/90) Simplify ((j**5)**(-4/9)*(j*j**8*j)/((j**(6/11)/j*j)/j))**(-1/8) assuming j is positive. j**(-815/792) Simplify (i**(-1/3))**(-10)/(i**(1/3)/i)**(-2/3)*(i/((i/(i*i/(i*i/((i*i/i**(-13))/i))))/i)*i*i**(3/5)/i)**(-13) assuming i is positive. i**(-8996/45) Simplify ((u*u**3*u**(-3))/(u*u**2)**29)/(((u*((u*(u**(-4)/u)/u)/u*u)/u)/u*u)**(-2/45))**(-1/25) assuming u is positive. u**(-19348/225) Simplify (((r**(-1/5)/r**(2/21))/((r/r**2)/r)**(8/7))**(3/28))**(7/6) assuming r is positive. r**(209/840) Simplify ((s*s**4/s)**(-18)*(s/s**(-1/4))**(2/83))**(-2/73) assuming s is positive. s**(11947/6059) Simplify ((l**8/(l/(l**(-1/2)*l)))/(l**(2/3))**(-3/2))**37 assuming l is positive. l**(629/2) Simplify (((z*(z**(-3/5)*z)/z*z)/z)**(-15))**19*(z**(-1/4))**22*(z*z*z**2)/z**7 assuming z is positive. z**(-245/2) Simplify (((b**5/b**3)**(9/8))**30)**(-1/23) assuming b is positive. b**(-135/46) Simplify (o*o**(-19)*o*(o**19/o)/o)/(o**2/(o**8*o)) assuming o is positive. o**7 Simplify ((g/(g*g**4))/g)/g*g*g/g**(1/11)*g*(g*g/(g/(g*g**(-7))))/g**8*(g*g**(-1/3))**(3/31)*(g**1*g)/(g*g*g**5/g) assuming g is positive. g**(-6829/341) Simplify ((o**(3/5)*o**(1/9))/(o/((o*o**(-8/5))/o)*o*(o/(o**(1/2)/o*o*o))/o))/(((o**2/o*o*o)/o)**30/(o**(1/7)*o/(o/((o/o**(-1/2))/o)))) assuming o is positive. o**(-3827/63) Simplify (y**1)**(3/10)/(((y**0*y)/y)/(y*y**(-2)))*(y*y*y/(y/(y**(-4/9)/y*y))*(y/y**13)/y*y)**22 assuming y is positive. y**(-20743/90) Simplify (s**(-1/14)*s**(-7))**47*(s*s/(s*s**(-1/10)))/(s/s**(1/4))*((s/(s*s/s**0))/s)**(18/11) assuming s is positive. s**(-516331/1540) Simplify (x**(-1)*x*x*x**(-7))**(-46)/((x**(1/14)/x**5)/(x**(-2/11)/x**(1/8))) assuming x is positive. x**(172863/616) Simplify ((h*h/(h*h*h/((h*(h**0/h)/h)/h)*h))**(1/27)*h**(2/15)/(h/((h*h**(4/11)/h)/h)))**(1/35) assuming h is positive. h**(-2452/51975) Simplify ((y**(1/3))**36)**(-3/16)/((y/(y*(y**(-4/7)*y)/y))/y*y**(-3/7)/y*y*(y**(-1)/y)**(-17)) assuming y is positive. y**(-991/28) Simplify ((z**(-4/7)*(z*z*((z/z**(-2/3))/z)/z*z)/z)/(((z*z**(-1)*z*z)/z)/(z**7*z)))/((z**(-1)*z)**36)**8 assuming z is positive. z**(170/21) Simplify ((((f**(-2/5)/f)/f)/(f*f**(-7)*f*f*f))/((f*f**(-15)*f*f)/((f**(-7/2)*f)/f*f*f)))**(-43) assuming f is positive. f**(-4773/10) Simplify ((y**(-2/11)/y**(-1/4))/((y*y**(-1/6))/y)**(-1/3))**(-6) assuming y is positive. y**(-5/66) Simplify ((m**(-12)*m*m/m**(-12)*m)/(((m/(m*((m/(m*m/(m*m*m/(m/m**4))))/m)/m))/m)/m**(3/8)))**41 assuming m is positive. m**(2419/8) Simplify (((s*s/(s/s**(-8)))/s**(1/6))/(s*s**(4/3))**(-2/7))**(-46) assuming s is positive. s**299 Simplify (t**(-5)/(t*t**(-1/4)))**46/(((t/((t/(t*t**(-4/5)))/t))/t)/t**(-2/5)*((t/t**(3/7)*t)/t)/((t*t/(t**(1/5)/t))/t)) assuming t is positive. t**(-18471/70) Simplify (u**0/u)**(-5)*(u*u*u*u**(-6/5))/(u/(u/u**8))*(u*u**(6/11)*u*((u**(4/9)/u)/u)/u*u*u)**(-33) assuming u is positive. u**(-1003/15) Simplify (((f*f/(f/((f/(f/f**1)*f)/f))*f)**34*f**(-4)*f*f**(2/25)*f)**42)**(1/39) assuming f is positive. f**(35028/325) Simplify ((x**(3/8)*x**(-2)*(x*x**(4/3))**(4/9))**34)**(-6) assuming x is positive. x**(2159/18) Simplify s/s**10*s**44*(s*s/s**23)**(-36) assuming s is positive. s**791 Simplify (j**(3/7)/j**(-4)*j**(-3)/(j*j*(j/(j*j**(5/4)*j))/j*j))/(j**(2/15)*j/(j**(4/3)*j)*j**(-5)/j*j*j*j*j/((j/(j/j**(-2)))/j)*j*j) assuming j is positive. j**(-17/140) Simplify (((q**(-1/5)/q)/(q/((q**18/q)/q)))/(q**(-12)/(q/q**(-12)*q)))**(-8/9) assuming q is positive. q**(-1592/45) Simplify (((z**(2/5)*z)/z)**(-25)*z**(-6)*z/z**(-5/4))/((z/z**(-1)*z*z*z)**26*(z**(-3/5)*z)/(z/(z/(z**4*z)))) assuming z is positive. z**(-2783/20) Simplify ((a/(a/(a*a*a**(-4)))*(a/a**7)/a)/(a*a**(1/4)*a/a**(-4)))/((a**(-1/3))**(-16)/(a*a**(1/3)/a)**(-33)) assuming a is positive. a**(-379/12) Simplify (((c**(-4/7)/c)**(-2/29)*(c*c/(c**9/c)*c*c)/(c*c*(c*c**4)/c))**(-7/4))**(-30) assuming c is positive. c**(-15060/29) Simplify ((d/(d**(-3/11)*d))/d**(-9))/((d/d**(-2))/d**7) assuming d is positive. d**(146/11) Simplify (d**(1/4))**(-22)/((d/((d*d*d**2*d)/d*d))/d*d*(d/(d*d**3*d*d))/d)*d**(-4)*d**(-1)*((d*d**3)/d)/d*d**1 assuming d is positive. d**(5/2) Simplify ((o**(-1))**(-47))**(-4/11)*o*o**(-1/12)*o/(o/(o**(-1/3)/o))*o**(-1/3)/o**(-3) assuming o is positive. o**(-653/44) Simplify (a**(-3/5)*a*a*a**6*a*a/(a*a**(-2/7))*a**(-7)/a*a)/((a**1/a*a)**(-32)*a**(-3)*a**(1/12)*a) assuming a is positive. a**(14953/420) Simplify (d*d*d**(1/11)*d*d**(-1/5))**(2/81)*(d/((d/d**(-2/3)*d)/d)*d**(3/2))/((d*d**(6/7)*d)/(d*d*d/d**(-2/11))) assuming d is positive. d**(25559/20790) Simplify q*q*q**(1/5)/q*q**(1/4)*(q**(-9)/q)/(q*q**(-4)/q)*(q*q/(q**(-1/13)/q)*q**8*q)/((((q**(-4)/q)/q)/q)/(q/(q**(4/3)/q))) assuming q is positive. q**(11851/780) Simplify ((b/(b**(-2/5)/b*b))**(-3/10))**(-33)/((b*(b*(b/b**(-3/5))/b)/b)/(b*b**6*b))**22 assuming b is positive. b**(7733/50) Simplify (((p/(p**(-6)/p)*p)/p)/p)/p**(-2/5)*p**(1/4)*p/((p**(2/3)/p)/p)*p*p*(p*p**(-1/2)*p)**(-1/5)/(p**(-3/7)/p*p**1) assuming p is positive. p**(5087/420) Simplify (o/(o/(o**(-6/7)*o))*o*o**(-11))**(-26)*(((o**2/o)/o)/(o**(6/5)/o))/(o*o**(1/3)*o)**(-2/29) assuming o is positive. o**(780271/3045) Simplify (z/z**28)**(-6/37)/((z/(z**(-11)/z)*z)/z)**(-12/11) assuming z is positive. z**(7554/407) Simplify ((v**(-1/8)*v/(((((v**(2/5)/v)/v)/v)/v)/v)*v/(v/(v*(v/(v/(v/((v*v**5)/v))))/v))*v/(v**(-2/13)/v)*v)**(3/29))**30 assuming v is positive. v**(747/52) Simplify ((((o*o/o**(-1))**(21/5))**21)**(-48))**(-3/13) assuming o is positive. o**(190512/65) Simplify (m*m/(m*m/((m*m/m**(-1))/m*m)))**21/(m/m**2*m**(1/2)/m)*((m**(1/2)/m)/m)**(-2/159)*(m/(m*m*m*m*
{ "pile_set_name": "DM Mathematics" }
plify ((-2 + (sqrt(147) - sqrt(3)) - (sqrt(3) + 1 + sqrt(3))*-6) + 1)**2. 180*sqrt(3) + 997 Simplify (((sqrt(288) - sqrt(288)*-4) + -5)*3 - (3 + -1 + sqrt(288) + sqrt(288) + 0))**2. -5304*sqrt(2) + 48961 Simplify (-1 + sqrt(1250)*-4 + sqrt(1250))**2 + -2. 150*sqrt(2) + 11249 Simplify 5*(6*sqrt(108)*-2 + -5*-1*sqrt(108))**2*6. 158760 Simplify (sqrt(3) - (-3 + sqrt(147)) - (sqrt(3) + (sqrt(3) - (sqrt(3) + -1*(0 + sqrt(3)))**2))) + -2*(sqrt(3) - (sqrt(3) + 0))*1*5. -8*sqrt(3) + 3 Simplify -4 + (5 + (-5*(0 + sqrt(468))**2 - sqrt(468)))*-3. 18*sqrt(13) + 7001 Simplify (sqrt(600) + (-1*sqrt(600)*1 - sqrt(600)))/(sqrt(16)/(sqrt(16)/sqrt(2)) + sqrt(8)*-3). 2*sqrt(3) Simplify -1*(sqrt(80)*-2)/(sqrt(40)/(sqrt(20)/sqrt(5)) + sqrt(10)) + 0. 2*sqrt(2) Simplify 1*((sqrt(66) + (sqrt(66) - (sqrt(66)*-1 - sqrt(66))))*6 + -4*1*sqrt(66))/((sqrt(24) - sqrt(264)/sqrt(99))/sqrt(4)). 30*sqrt(11) Simplify -2*(4 + (-5 + sqrt(5)*-1)**2 + ((sqrt(30)*-1)/sqrt(6))**2 + 3)*6. -504 - 120*sqrt(5) Simplify sqrt(3) + 6*(sqrt(75) + sqrt(3) - sqrt(3))**2 + sqrt(75) + 0 + 1. 6*sqrt(3) + 451 Simplify -4*(sqrt(21) + (3*sqrt(210) + sqrt(210))/sqrt(10))/(sqrt(21)/sqrt(3)*-6). 10*sqrt(3)/3 Simplify ((sqrt(17) - -3*sqrt(1088) - sqrt(51)/(sqrt(3) + sqrt(12)/sqrt(4))) + -2*sqrt(17)*-1 + -5 + 4)**2. -53*sqrt(17) + 47757/4 Simplify -3*((sqrt(104)/(sqrt(8) - (sqrt(8) - sqrt(32)/sqrt(4))))**2 + sqrt(13)) + (-4*(sqrt(325) + sqrt(325) + -1) - sqrt(325)) + 0. -48*sqrt(13) - 35 Simplify -2 + (sqrt(648) - (sqrt(648) - (sqrt(648) - -2*sqrt(648)*-2))) - (4 + (sqrt(648) + (sqrt(648) + 1 - sqrt(648)))**2*-5). 126*sqrt(2) + 3239 Simplify 2 + (sqrt(75) + 0 + -4 - (0 + -1 + sqrt(75) + sqrt(75) + sqrt(75) - sqrt(75))**2). -303 + 25*sqrt(3) Simplify (3 + -2 + (sqrt(432) + -2 + -1*sqrt(432) - sqrt(432)) + -4)**2*-2. -914 - 240*sqrt(3) Simplify (-2*sqrt(63) + sqrt(21)/sqrt(3) + sqrt(7) + 0)**2 - 1*(4*sqrt(14))/sqrt(2). -4*sqrt(7) + 112 Simplify (-3*-3*(sqrt(209) - (sqrt(209)*3 - sqrt(209))))/(-1*(sqrt(539) + -3*sqrt(539))). -9*sqrt(19)/14 Simplify (-4 + sqrt(243) + 0 - (sqrt(243) + -1 + sqrt(243) + 0)**2) + 3 + -1. -975 + 45*sqrt(3) Simplify (((sqrt(76)*-2 + sqrt(76))*-3 - (3*(sqrt(76) + sqrt(76)*-2 + sqrt(76)) + sqrt(76)))/((sqrt(216)*3)/sqrt(6)) + -2)**2. -8*sqrt(19)/9 + 400/81 Simplify -2*(sqrt(275)/sqrt(5))/sqrt(11) - (sqrt(5) + (sqrt(5) - (2 + sqrt(5)))**2*-1 + -2). -3*sqrt(5) + 6 Simplify -4*(((0 + sqrt(288))*3 - sqrt(288) - (sqrt(288) + sqrt(288) + sqrt(288) + 1 + 5)) + (0 + 1 + sqrt(288))*2)**2. -1216 + 384*sqrt(2) Simplify (4*(-5*3*sqrt(128) - sqrt(128))/sqrt(4))**2 + 1. 131073 Simplify (sqrt(4320) - sqrt(4320)*3*6)/(sqrt(10) - (-2*sqrt(30))/sqrt(3) - (sqrt(80)*-1)/sqrt(8)). -51*sqrt(3) Simplify (sqrt(32) + -5 + sqrt(128) + 3 - (1 + sqrt(512))*2)**2. 160*sqrt(2) + 816 Simplify (1*sqrt(1512)*-2)/(3*(sqrt(384) + 2*sqrt(384))). -sqrt(7)/6 Simplify (sqrt(15)/(sqrt(5)*-1*6))**2*3 - (sqrt(243) + 1 + -4 + 5*(sqrt(243) + 1) + sqrt(243))**2. -47643/4 - 252*sqrt(3) Simplify (6*(-2 + 2 + (1*(sqrt(13) + 0) + -1)*1))**2. -72*sqrt(13) + 504 Simplify (-5*(-5*sqrt(24)/sqrt(4))/(sqrt(288)/sqrt(9)))**2. 1875/16 Simplify (1*sqrt(1300)*2)**2*1 - (4 + -1*sqrt(1300) - (sqrt(1300)*1 + -4))**2. -64 + 320*sqrt(13) Simplify (1 + (sqrt(704) - (sqrt(704) + ((sqrt(704) + -1)**2*-6 - sqrt(704)))) + 5)*-6. -25416 + 528*sqrt(11) Simplify ((0 + sqrt(128))*-1)**2*-5 + (-1 + -1*sqrt(128))**2 + (sqrt(128) - (-1*sqrt(128))**2) + 4. -635 + 24*sqrt(2) Simplify 4 + sqrt(143)/sqrt(176) + sqrt(13) + -1 + 4*sqrt(1573)*-2*-5. 3 + 1765*sqrt(13)/4 Simplify -4*(sqrt(60)/sqrt(5))**2 + 3 + (-5 + sqrt(3) + sqrt(12)/sqrt(4))**2. -20*sqrt(3) - 8 Simplify (sqrt(200)*-2 + sqrt(200) + sqrt(8))/(sqrt(196) + sqrt(196)*3). -sqrt(2)/7 Simplify 2 + -2 + (sqrt(24) + (sqrt(24) - (sqrt(1536) + sqrt(1536) + (sqrt(1536) - -1*sqrt(1536)))))/(sqrt(48)/sqrt(54)). -90*sqrt(3) Simplify ((2*6*sqrt(36))/(-3*sqrt(1452)))**2. 48/121 Simplify sqrt(3) + -1 + 1 + -3 + ((sqrt(3) + 1)*-2 - (-1 + sqrt(6)/sqrt(2))**2). -9 + sqrt(3) Simplify ((sqrt(156) + sqrt(156)*2*2)*2)/((-2*sqrt(192)*-1 - sqrt(192)) + sqrt(192)) + -4. -4 + 5*sqrt(13)/4 Simplify ((-1 + 1*(-2 + sqrt(891) + 1 + -3 + -1*sqrt(891)))*6)**2. 900 Simplify -4 + (sqrt(312)/(sqrt(16)/sqrt(2)*-5 - sqrt(8)))/(sqrt(432) + sqrt(3) + (1*sqrt(27))/sqrt(9)). -4 - sqrt(13)/84 Simplify (((1*sqrt(360))/sqrt(12))/(1*sqrt(1210)))**2 + (sqrt(3) - (2 + sqrt(3) + 1 - sqrt(3)) - (-3 + -2*sqrt(3)))**2. 3270/121 Simplify -3 + (6*(sqrt(847) + 0))**2 + ((sqrt(847) - (sqrt(847) - (1*sqrt(847) - sqrt(847)))) + 1 - ((sqrt(847) + -1)*3)**2). 198*sqrt(7) + 22858 Simplify -4*(sqrt(17) + (-4 + sqrt(51)/sqrt(3))**2) + -2 + -4*sqrt(1700). -134 - 12*sqrt(17) Simplify -4*(0 + (2*sqrt(153) - sqrt(17)) + 5)**2 + 2. -1798 - 200*sqrt(17) Simplify ((-6*sqrt(286))/sqrt(11))/(-4*sqrt(242)). 3*sqrt(13)/22 Simplify (6*(sqrt(2448) + -1) - (sqrt(2448) + -6*1*sqrt(2448) - sqrt(2448)))**2 + 6*(sqrt(2448) + sqrt(2448)*2 + 3)**2. -432*sqrt(17) + 484794 Simplify sqrt(38)/((sqrt(2) - -6*-6*sqrt(2)) + sqrt(2)) + (-6*(sqrt(2736) + -1))**2. -29377*sqrt(19)/34 + 98532 Simplify (-5 + sqrt(448) + 4)**2 + (-1 + sqrt(448)*5)**2 + sqrt(448). -88*sqrt(7) + 11650 Simplify -2*-6*((sqrt(88) - (1*sqrt(88) + sqrt(88) - sqrt(88)))*-2 + sqrt(88))/sqrt(8)*2. 24*sqrt(11) Simplify -3*(-1 + (sqrt(432) + 3 + -1)**2). -1305 - 144*sqrt(3) Simplify (2*3*sqrt(208) - sqrt(208))/(sqrt(4) - (sqrt(64)*1 - sqrt(4))). -5*sqrt(13) Simplify (sqrt(1053) + 0)*-3 + ((sqrt(1053) + (sqrt(1053) - (0 + sqrt(1053) + sqrt(1053) + sqrt(1053))))*-5)**2. -27*sqrt(13) + 26325 Simplify sqrt(891) + -1*sqrt(891) + 3*(sqrt(11)*-1 - sqrt(11))**2 - (((1 + sqrt(11))*3)**2 + 0 + sqrt(176) + sqrt(11) + 3). -23*sqrt(11) + 21 Simplify ((2*sqrt(2016) + sqrt(504)*1)/((2*sqrt(288) - sqrt(288))*-4))**2. 175/64 Simplify (2*(sqrt(77) + sqrt(77) + 4*(sqrt(77) + 2*sqrt(77))))/(sqrt(132)/(sqrt(12) + 3*sqrt(36)/sqrt(3))) + 5. 5 + 112*sqrt(7) Simplify (1*sqrt(900))/((sqrt(72)*5)/sqrt(6)). sqrt(3) Simplify (1 + ((sqrt(60)/(sqrt(12) - 3*sqrt(12)))**2 - sqrt(5)) + 2)*6. -6*sqrt(5) + 51/2 Simplify ((sqrt(252) + sqrt(42)/sqrt(6)*-6)*4)**2*-3. 0 Simplify (-1 + -1*sqrt(252) + -5 + (sqrt(252) - (-5 + sqrt(252)*-1)) + -3)**2. -48*sqrt(7) + 268 Simplify (5 + 4 + sqrt(1088) - 2*(sqrt(1088) + 3 + sqrt(1088)))**2. -144*sqrt(17) + 9801 Simplify (4*sqrt(11)*-3*2 - (sqrt(396) - sqrt(396)*2)*-2)**2. 14256 Simplify 1 + -3 + (sqrt(55)/sqrt(5) - sqrt(11)) + (sqrt(1375)/sqrt(5) - 5*sqrt(33)/sqrt(3)). -2 Simplify -2 + (sqrt(567) + -1)**2 + 0 + ((-2*sqrt(567) + 5)*3)**2. -1638*sqrt(7) + 21203 Simplify (-6*(sqrt(117)*-2 + sqrt(117)) - (sqrt(117) + (sqrt(117) - -1*1*sqrt(117))))/((sqrt(9) - sqrt(729)*1)*-6). sqrt(13)/16 Simplify (2*sqrt(19)*1 - sqrt(19)*-1*6)**2 - (sqrt(114) + (sqrt(114) - sqrt(114)*1*-2))/(sqrt(6)*2*4). -sqrt(19)/2 + 1216 Simplify -5 + (1*sqrt(2736) + -3)*-2*-2. -17 + 48*sqrt(19) Simplify (sqrt(36)/(sqrt(6) - sqrt(96)/sqrt(4)))/(2*1*sqrt(75)). -sqrt(2)/10 Simplify (-1 + -1*sqrt(448)*3 + (sqrt(448) + (sqrt(448) - sqrt(448)*3))*-4)**2. -16*sqrt(7) + 449 Simplify ((6*(sqrt(170) + sqrt(170)*1) + sqrt(170) + 1*sqrt(170)*1 + sqrt(170))/(-1*sqrt(120)/(sqrt(60)/sqrt(5))))**2. 3825 Simplify ((sqrt(34) - sqrt(34)*-1*5)*4)/((sqrt(72) + sqrt(72)*-2)*-1). 4*sqrt(17) Simplify (-3*(2 + (-2 + sqrt(3))*3 + -2))**2*-2. -1134 + 648*sqrt(3) Simplify (-1 + 3*sqrt(648) + sqrt(648)*-1*-2)**2*-2. -32402 + 360*sqrt(2) Simplify ((sqrt(200) + 0)*5 - sqrt(6)/((sqrt(33)*-2 - sqrt(33))/sqrt(11)))**2. 45602/9 Simplify (-2 + -4*sqrt(60)/(-2*sqrt(12))*-6)**2. 48*sqrt(5) + 724 Simplify (6*sqrt(396))/(1*sqrt(12)/sqrt(3)). 18*sqrt(11) Simplify (-1*(sqrt(228) - (sqrt(228) + -4*1*sqrt(228))))/((sqrt(144) - (sqrt(144)*-2 + sqrt(144) - sqrt(144)))/sqrt(3)). -2*sqrt(19)/3 Simplify (sqrt(704) + -3*(sqrt(704) + -3) - sqrt(704) - (((2 + sqrt(704) + sqrt(704) - sqrt(704)) + sqrt(704))*-6 - sqrt(704)))**2. 3360*sqrt(11) + 70841 Simplify -2*(sqrt(300) + sqrt(300)*1)*-6*-6. -1440*sqrt(3) Simplify (sqrt(6)/((sqrt(12)/sqrt(2))/sqrt(2)) + sqrt(8)/(2*sqrt(4))*-3)**2. 1/2 Simplify (-5*(sqrt(18)/(sqrt(45)/sqrt(5)) + sqrt(2)))**2 + 3 + (sqrt(72))**2 + 2. 277 Simplify ((sqrt(24)/sqrt(3))/sqrt(2))/(2*sqrt(242) + sqrt(242))*4. 4*sqrt(2)/33 Simplify -3*((0 + 1*sqrt(1900) + sqrt(1900) + 6*sqrt(
{ "pile_set_name": "DM Mathematics" }
+ 3*v - 2. Determine n(c). 0 Let k(h) = h**3 + 3*h**2 + 4. Let m be k(-3). Suppose d - m*i = 17, -2*d + i = -6*d - 17. Let f be (-4 - -10) + 9/d. Let y(z) = -z**2 + 2. What is y(f)? -7 Suppose 0 = -4*f + 3*x - 19, 22*f + 4 = 23*f + x. Let i(l) = -15*l**3 - l - 1. Calculate i(f). 15 Let s(v) = -v + 1. Let d(f) = -f**3 - 4*f**2 + 2*f + 6. Let h be d(0). What is s(h)? -5 Let o(p) = p**3 - 4*p**2 + 3*p - 2. Suppose -2 = 359*y - 360*y. What is o(y)? -4 Let x(i) = -13*i**3 - 25*i**2 + 36*i - 69. Let c(n) = -5*n**3 - 8*n**2 + 12*n - 23. Let z(k) = 8*c(k) - 3*x(k). Determine z(10). 3 Let j be (4/(-2))/2 + 3. Let h(x) be the first derivative of x + 7 - x**2 - 3*x**2 + x**2 + 9. Calculate h(j). -11 Suppose 12*a = 16*a - 44. Let g(h) = h**3 - 10*h**2 + 8*h - 2. Let o(w) = 3*w**3 - 29*w**2 + 23*w - 6. Let i(m) = a*g(m) - 4*o(m). Calculate i(5). 7 Let c(p) = 4*p**2 - 2*p. Suppose -6*j - 11 - 7 = 0. Let g be 3 - (j + 2 - -2). Give c(g). 12 Let r(a) = a**2 - 6*a + 16. Let f be r(8). Let p be 3/(-3 + 102/f). Suppose 19 = 3*u - 5*k, 0 = 2*u - 3*k - p + 4. Let b(s) = -s - 1. Give b(u). -4 Suppose w - 5 = -4*p + 12, 5*w = -p + 28. Let r(l) be the second derivative of -2*l**2 - 6*l - 2/3*l**3 + 2. What is r(p)? -16 Let v = 8 - 4. Suppose 5*x = v*o - 19, -16 = -2*x + 6*x - 3*o. Let a(m) = m - 2. Let y(f) = 6*f - 9. Let z(t) = -11*a(t) + 2*y(t). What is z(x)? -3 Suppose 231 = 4*m + 5*n, 3*m + 9 = -5*n + 176. Let r(p) = -m + 64 + 4*p. Let o = 4 - 2. Determine r(o). 8 Let g(o) = -10*o + 1. Let r be (5 - (0 - -5)) + 1. What is g(r)? -9 Suppose 0*y + 2*y = 6. Suppose -y*j + 2 = -j. Let a(u) = -6*u**2 + 5*u + 7. Let v(z) = z**2 + z + 1. Let p(o) = -a(o) + 6*v(o). Calculate p(j). 12 Let h(u) = -2*u**2 + 6*u - 1. Let o(v) = v**3 + 6*v**2 + 3*v - 5. Let y be o(-5). Give h(y). -21 Let y(c) = -c**3 + 3*c**2 + 3*c - 2. Let w be -17 - (1 - (-1 + 5)). Let m = -11 - w. Suppose -2*k = -m*k + 4. Determine y(k). -6 Suppose -4*g + 6 = -34. Suppose -3*z - 2*z - x - 6 = 0, -5*z - g = 5*x. Let i(h) be the second derivative of 3*h**5/10 + h**3/3 + h**2/2 - h. What is i(z)? -7 Let a(c) = c**3. Let p be a(0). Let m(z) be the second derivative of z**5/20 - z**4/12 + z**3/6 + 12*z**2 - 2937*z. What is m(p)? 24 Suppose 4*x = -4*x - 48. Let i(m) = -2*m**2 - 6*m - 4. What is i(x)? -40 Let u(s) = 3*s + 2. Let j(o) = 21*o + 6. Let l(k) = j(k) - 2*u(k). Calculate l(3). 47 Let f(k) = 10*k + 10. Let r(l) = -17*l - 20. Let u(z) = -5*f(z) - 3*r(z). Give u(-13). -3 Let s(k) = k**2 - 7*k. Let p be (-1)/((-2)/((-84)/(-6))). Give s(p). 0 Let t(a) = 4*a**3 + 2*a**2 + a + 2. Let c(m) = m**3 + m**2. Let f(g) = 3*c(g) - t(g). Let v(i) = -i**2 - 8*i - 7. Suppose 0*s = s + 7. Let y be v(s). Give f(y). -2 Let a = 9 - 5. Let i = 44 - 43. Let l(x) = 2 - 2 - 2*x + i + 0. What is l(a)? -7 Let z(i) be the second derivative of -5*i**3/6 - 9*i**2/2 + 7*i. Let s(f) = -14*f - 26. Let b(u) = 4*s(u) - 11*z(u). Let k be (-2)/4*0/5. Determine b(k). -5 Let o(k) = -3 + 5 - 3 - 2 + 4*k + 0*k. Calculate o(3). 9 Let v(n) = 2*n**2 + 2*n**2 + 4 - 59*n - 5*n**2 + 52*n. Determine v(-4). 16 Let c(w) be the first derivative of 3*w**2/2 - 22*w + 17. Let l be c(6). Let b(q) be the first derivative of -2*q**3/3 - 2*q**2 + 5*q - 1. Determine b(l). -11 Let a(j) = j - 539 - 2*j + 540. What is a(5)? -4 Let q(l) = -29*l**2 + 1. Let z be (4 - (-39)/(-6))*(-8)/5. Let n(s) = 9*s - 37. Let g be n(z). Determine q(g). -28 Let n(g) = g**3 + 5*g**2 - 7*g. Suppose -4*a - 3*v + 52 = 0, 0 = 2*a - 5*a - 5*v + 28. Let u be (4/(-10))/(a/240). Calculate n(u). 6 Let p(q) = q**2 + 7*q - 3. Let u be ((-8)/(-14))/(13/(-182)). Give p(u). 5 Let p(g) = -g**3 - 6*g**2 + 17*g + 11. Let i be p(-8). Let u(y) = -y**3 + 5*y**2 - 2*y - 6. Determine u(i). 6 Let d(y) = -8*y**2 + 4*y + 3. Let f(t) = 7*t**2 - 3*t - 3. Let r(j) = 6*d(j) + 7*f(j). Let s be r(-3). Let z(c) = 7*c - 9*c - 3 + 0*c + c. Calculate z(s). 0 Let i(a) = -37*a**2 - 34*a + 15. Let k(y) = -13*y**2 - 11*y + 6. Let v(u) = 6*i(u) - 17*k(u). Determine v(-17). -12 Let c(h) = -h**2 - 6*h - 7. Let j(d) = 16*d**2 - 3*d + 2. Let l be j(2). Let m be l/(-6) + (2*1 - -1). Calculate c(m). -14 Let o be (3/(-4))/(5/(-20)). Let q(m) = 1 + 3*m + 4*m + 0 - o - m**2. Let k be q(7). Let d(x) = 3*x**2 + 2*x. Calculate d(k). 8 Let r(f) = -4*f - 63. Let i(m) = 2*m + 32. Let l(v) = -11*i(v) - 6*r(v). Let z be l(-11). Let j = 2 - z. Let t(q) = q**3 + q**2 - q + 2. Determine t(j). 0 Let t(w) = 2*w. Let c(s) = s - 2. Let g(a) = -c(a) - t(a). Let j(r) = -r**3 + 2*r**2 + 5*r - 3. Let l be j(3). Suppose -l*n = -n + 6. Determine g(n). 11 Let v(h) be the first derivative of h**3/3 + 5*h**2/2 - 11*h + 133. Calculate v(-8). 13 Let p be 0/1 + -1 + 6. Let h be (-4)/(3 - p) - 5. Let m(o) = 3*o - 8 + 3*o**2 + 0*o + o**3 + 7. What is m(h)? -10 Let s(h) = h**2 - 3*h + 4. Let o be s(4). Suppose -7*v - 4 = -o*v. Suppose -2*m + 3 = -3*m, -11 = v*x + m. Let q(j) = -j**2 - 2. Calculate q(x). -6 Let w(j) = -j**2 - 7*j + 3. Let m(g) = g**2 + 6*g - 3. Let r be (1 - 3)/(1/2). Let n(i) = r*m(i) - 3*w(i). Let q = -14 + 9. Give n(q). -7 Let h(m) = 6*m**2 + 0*m**2 + 3*m - 1 - 3*m - m. Let i(p) = -17*p**2 + 3*p + 4. Let q(c) = -7*h(c) - 2*i(c). Give q(1). -8 Suppose -3*o - v + 12 = -9, 0 = 3*v + 9. Let h(c) be the first derivative of 3*c + o - 1/2*c**2. Calculate h(-5). 8 Suppose 4*i - 7*i + 21 = 0. Let r be (-1 - -2)*2 - i. Let o(z) = -38*z + 17. Let w(a) = -15*a + 7. Let f(y) = -2*o(y) + 5*w(y). Calculate f(r). -4 Let f(l) = 326130*l**2 - 6*l - 3*l - 326129*l**2 + 4 + 3*l. What is f(6)? 4 Let a(z) = -z**2 - 3. Let m be (-14)/245*-7 - (-12)/(-5). Let c be 3/(-6) - m/4. Give a(c). -3 Let r(q) be the third derivative of q**5/60 - 17*q**4/24 + 5*q**3/2 - 44*q**2. Determine r(16). -1 Suppose -i + 17 = -3*i + a, -13 = 4*i + 5*a. Let c = 10 + i. Let v be 0*c/(-6)*1. Let o(g) = g - 11. Determine o(v). -11 Let b(a) = -2*a + 3*a**2 + 0 - 5 + a**3 + 0*a**2. Let w = -64 + 60. Let t(q) = -q**3 - 5*q**2 - 4*q - 4. Let x be t(w). What is b(x)? -13 Let n(o) = o**2 + 6*o + 3. Let x(q) = q + 2. Let j(m) = n(m) - 2*x(m). Let y(p) = -p**3 - 5*p**2. Let f be y(-5). Let t be f + -4 + 1/1. Give j(t). -4 Suppose -2*o = -4*o + 32. Suppose -4*z - o = -8. Let m(h) = h**2 - 3*h - 3. Calculate m(z). 7 Suppose 5 = 4*g - 7. Let u(s) = 11 + 4*s - 4*s**2 - 4 + g*s**2. Give u(6). -5 Let o(l) be the third derivative of l**6/24 - l**5/30 + l**4/12 - l**3/6 + 4*l**2 + 47. Let c = -1 + 1. Suppose p - 1 + 0 = c. What is o(p)? 4 Let r = -1 - -3. Let t(x) = -r*x - 3*x**2 + 9*x**2 - x**2 - 11*x**2. Calculate t(-2). -20 Let g(d) = d**3 + 2*d**2 + 2. Let a(l) = 3 - 10*l**3 - l + 6*l**3 + l**2 + 3*l**3. Let n be a(2). Determine g(n). -7 Let a be (-8)/6 - (-110)/15. Let w = a + -2. Let k(s) = w*s - 5*s + 0*s - 1. Calculate k(6). -7 Let o(s) = 4*s + 3. Let v(i) = 9*i + 6. Let f(d) = d - 1. Let u be f(-1). Let y(t) = u*v(t) + 5*o(t). Let k be -1 + (-5)/10*2. What is y(k)? -1 Let f be ((-40)/(-18) - 2) + 20/(-9). Let l(p) = 3*p. Suppose 3*a = 2*a + 5. Let n(s) = -s. Let y(o) = a*n(o) + 2*l(o). Determine y(f). -2 Let q = 806 + -819. Let a(w) = -w**2 - 10*w - 1. What is a(q)? -40 Let r be ((-324)/15 + 21)/((-2)/(-20)). Let m(v) = 4*v - 7. Give m(r). -31 Let j(d) = 14*d + 204 - 205 - 12*d - 2*d**3. Determine j(-3). 47 Let j(b) be the first derivative of -b - 3/2*b**2 + 1/3*b**3 + 14. Give j(-2). 9 Let k(u) = 88*u - 34*u - 26*u - 29 - 30*u. Calculate k(-15). 1 Let l be 116/12 - 2/(-6). Suppose 4*w + l = 5*t, 3*t + 11*w = 6*w + 43. Let o(r) = -t + 8 - 5 + 1 - r. Give o(6). -8 Let l = 11 - 3. Let b(y) = y - 1. Let r(k) = 5*k - 12. Let j(s) = 4*b(s) - r(s). Let w be j(l). Let i(a) = a**2 - a - 8. Give i(w). -8 Let r(h) = -2*h + 37. Let c be r(14). Let p(g) = g - 7 + 18 - c - 11. What is p(6)? -3 Let h(o) = -14*o**3 + 26*o**2 + 3*o - 16. Let y(p) = -5*p**3 + 9*p**2 + p - 6. Let r(g) = -4*h(g) + 11*y(g). Suppose 0 = 5*n - 6 - 14. Give r(n). -22 Let a(s) = -s**2 - 6*s - 1. Let z(q) = 4*q**2 + 31*q - 17. Let u(v) = 3*a(v) + z(v). Determine u(-14). -6 Let h(o) = -o**2 - 6*o + 8. Let g = -5 - -14. Let q be ((-4)/(-6))/(3/g). Suppose 0 = -q*u - 3*n + n - 4, n = u + 12. Calculate h(u). 1 Let b = -16 + 20. Let u be 90/25 - b/(-10). Suppose -u*n = -3*n. Let j(l) = -l**3 + l**2 - l + 1. Determine j(n). 1 Let k(r) = 2*
{ "pile_set_name": "DM Mathematics" }
ltiple of 1485? True Is 1712 a factor of 286710352? True Is 3937 a factor of 1138403235? True Is 1035890286 a multiple of 20? False Is 47 a factor of 563983383? False Does 4625 divide 665060360? False Is 443 a factor of 40868794? False Is 253052743 a multiple of 221? False Is 54 a factor of 59379480? True Is 243881277 a multiple of 109? False Is 409 a factor of 32253740? True Does 1420 divide 95016460? True Is 4911073 even? False Is 3310272 a multiple of 96? True Is 4789 a factor of 1055232205? True Is 214 a factor of 11461412? True Does 1748 divide 65546504? True Does 19 divide 123981251? True Is 144 a factor of 9194256? True Does 6 divide 8596527? False Is 911618994 a multiple of 39? True Does 3 divide 225183651? True Is 18 a factor of 76981143? False Does 3 divide 6044047? False Does 1160 divide 3629521189? False Does 465 divide 68215500? True Is 263 a factor of 102520556? True Does 351 divide 122801211? True Is 10 a factor of 782014050? True Is 29 a factor of 31343738? False Does 1928 divide 2784341241? False Does 4541 divide 1411860474? True Is 51 a factor of 32274942? True Is 14332093 a multiple of 81? False Does 10 divide 365787430? True Is 44369798 a multiple of 11? True Is 523 a factor of 158523915? True Is 260561231 a multiple of 115? False Is 1795571303 a multiple of 33? False Does 12 divide 192039422? False Is 4092495 a multiple of 55? True Is 1070239940 a multiple of 11? True Is 887759053 a multiple of 5001? False Does 168 divide 2228520? True Is 91004969 a multiple of 739? False Does 3743 divide 86698554? False Does 1428 divide 121214475? False Is 1861143 even? False Is 888 a factor of 28599830? False Does 20 divide 540673400? True Does 104 divide 439666012? False Does 238 divide 3734994? False Does 3770 divide 601065554? False Is 21 a factor of 721295590? False Is 9 a factor of 864930609? True Is 124 a factor of 1460156668? True Is 788 a factor of 43081470? False Does 67 divide 883766596? False Is 3869 a factor of 1717866952? True Is 4995257 a multiple of 2? False Is 600 a factor of 17086200? True Is 18228257 a multiple of 131? True Does 682 divide 10856758? True Is 840415140 a multiple of 63? False Is 2352 a factor of 59014032? True Is 22 a factor of 47630462? True Is 17148953 a multiple of 26? False Is 37371286 a multiple of 443? False Is 21 a factor of 74797611? True Is 149 a factor of 316324169? True Does 111 divide 193747132? False Does 5 divide 174517831? False Is 4568969 a multiple of 611? False Is 7 a factor of 8196824? False Is 240816086 a multiple of 14? True Does 2894 divide 264983322? True Is 44483274 a multiple of 29? True Does 27 divide 473268690? True Is 453600626 a multiple of 171? False Is 28 a factor of 578225376? False Is 4058179938 a multiple of 46? True Does 40 divide 36981723? False Is 133 a factor of 50547182? True Does 200 divide 2971068200? True Is 2776 a factor of 2352835300? False Is 754773195 a multiple of 2451? True Does 4 divide 25265668? True Does 9 divide 566133804? True Does 1179 divide 30948750? True Does 154 divide 29359779? False Is 82901280 a multiple of 105? True Is 962360084 a multiple of 28? True Is 650095281 a multiple of 1675? False Is 182095997 a multiple of 3261? False Does 2137 divide 3196233444? False Does 111 divide 941781165? True Is 12649061 a multiple of 109? False Is 368 a factor of 310063403? False Is 1159401856 a multiple of 1238? True Is 224834794 a multiple of 2064? False Is 412544880 a multiple of 54? True Is 85937862 a multiple of 142? False Is 481790688 a multiple of 366? True Is 200104173 a multiple of 881? True Is 778511235 a multiple of 29? True Does 5 divide 644831498? False Is 525091315 a multiple of 320? False Does 306 divide 1416327? False Does 771 divide 1938003272? False Does 29 divide 10332184? False Is 12 a factor of 17760804? True Does 11 divide 16215918? False Is 69 a factor of 493192573? False Is 1005051136 a multiple of 469? False Is 544 a factor of 1365459136? False Is 778260886 a multiple of 338? True Is 1317140 a multiple of 713? False Is 34006890 a multiple of 915? True Is 6640631 a multiple of 40? False Does 610 divide 42477350? True Does 59 divide 79901511? False Is 6 a factor of 139230338? False Does 80 divide 22052285? False Does 510 divide 42781350? True Is 1025 a factor of 613975? True Is 970479664 a multiple of 29? True Does 2402 divide 9684864? True Is 388164000 a multiple of 500? True Is 874 a factor of 1123059212? False Is 113 a factor of 24071057? False Does 19 divide 308388981? True Does 752 divide 2074796576? True Is 46 a factor of 13657899? False Does 4472 divide 1535382275? False Is 536 a factor of 52846920? True Does 98 divide 17579364? False Does 194 divide 112166532? True Is 136647186 a multiple of 65? False Is 574 a factor of 21750008? True Is 8790619 a multiple of 49? False Is 53 a factor of 3995987179? False Does 5 divide 466747743? False Does 13 divide 163639931? True Is 26 a factor of 38258678? False Does 14 divide 124872720? True Does 10 divide 1200385270? True Is 17 a factor of 3112985926? False Does 43 divide 8031437? False Is 27 a factor of 3052944? True Does 3468 divide 802117188? True Is 13238419 a multiple of 24? False Is 343849275 a multiple of 6675? True Is 1297130 a multiple of 38? True Does 267 divide 7652220? True Is 89067276 a multiple of 162? True Is 532 a factor of 153271328? True Does 2009 divide 202943153? True Is 453 a factor of 17570058? True Is 669 a factor of 944618407? False Is 6897150 a multiple of 90? True Is 72057713 a multiple of 1547? True Is 141253525 a multiple of 35? True Is 5476052 a multiple of 43? False Is 240285859 a multiple of 58? False Does 53 divide 427726635? False Does 14 divide 58923214? True Does 43 divide 214229941? False Does 81 divide 486375005? False Does 4209 divide 59001762? True Does 33 divide 322541335? False Is 18 a factor of 82344132? True Is 479 a factor of 100268368? False Is 5 a factor of 513929446? False Does 14 divide 1743132678? True Does 109 divide 172699827? False Does 12 divide 101332? False Is 804702674 a multiple of 36? False Is 1125 a factor of 49451625? True Is 16 a factor of 34622882? False Does 12353 divide 62525914? False Does 921 divide 1916781550? False Does 14 divide 2090350? False Does 2907 divide 999894627? True Is 4458497004 a multiple of 377? True Does 2146 divide 6833479? False Does 23 divide 31409122? True Is 2 a factor of 20794027? False Is 2602 a factor of 681512677? False Is 97969824 a multiple of 43? True Is 13 a factor of 1476269353? True Does 19 divide 223476708? True Is 5744532 a multiple of 12? True Is 2329426349 a multiple of 266? False Does 7 divide 9544423? True Does 3790 divide 2567649200? True Does 20 divide 66796760? True Does 1175 divide 116357572? False Is 373681626 a multiple of 53? False Does 445 divide 365695888? False Is 29 a factor of 35495536? True Does 141 divide 825525108? True Is 6 a factor of 144806394? True Is 373 a factor of 51816041? True Does 425 divide 329013930? False Is 3157 a factor of 190916418? True Is 81982530 a multiple of 5327? True Is 24 a factor of 34726344? True Does 173 divide 853116976? True Does 87 divide 672075? True Does 2487 divide 938519190? True Does 49 divide 76003789? False Is 6701083 a multiple of 20? False Does 369 divide 11151549? True Does 206 divide 568072? False Does 926 divide 30486399? False Is 15 a factor of 14672010? True Is 105 a factor of 786970692? False Is 2065032160 a multiple of 74? True Is 247541542 a multiple of 127? True Does 48 divide 73040784? True Is 65629344 a multiple of 96? True Is 98416080 a multiple of 3220? True Is 177128967 a multiple of 21? False Is 290086155 a multiple of 15? True Does 281 divide 21717840? False Is 253474326 a multiple of 19? True Does 895 divide 337166190? True Does 557 divide 75117020? True Is 9731585 a multiple of 7? False Is 113 a factor of 60263126? True Is 188 a factor of 249365644? True Does 3130 divide 91267670? True Is 65 a factor of 178776969? False Is 49232763 a multiple of 46? False Is 574473279 a multiple of 10? False Does 13 divide 451427223? True Is 224155204 a multiple of 364? True Is 1264770020 a multiple of 9263? True Is 222 a factor of 22011522? True Does 17 divide 1071034763? False Is 417826136 a multiple of 14? True Is 325209744 a
{ "pile_set_name": "DM Mathematics" }
-2552, -2999? -4*i**2 - 395*i - 38 What is the l'th term of -37610, -150412, -338414, -601616, -940018, -1353620, -1842422? -37600*l**2 - 2*l - 8 What is the m'th term of -48765, -97532, -146295, -195054, -243809? 2*m**2 - 48773*m + 6 What is the k'th term of -10684, -10681, -10676, -10669? k**2 - 10685 What is the v'th term of 327, 335, 371, 429, 503, 587? -v**3 + 20*v**2 - 45*v + 353 What is the d'th term of 373, 745, 1113, 1477? -2*d**2 + 378*d - 3 What is the d'th term of -4451, -4446, -4441, -4436? 5*d - 4456 What is the k'th term of 5766, 11530, 17294, 23058, 28822? 5764*k + 2 What is the i'th term of -16995, -17075, -17167, -17277, -17411, -17575, -17775? -i**3 - 73*i - 16921 What is the s'th term of 283, 1196, 2735, 4900? 313*s**2 - 26*s - 4 What is the v'th term of -2339319, -2339314, -2339305, -2339292, -2339275, -2339254? 2*v**2 - v - 2339320 What is the g'th term of 1435, 1425, 1411, 1393, 1371? -2*g**2 - 4*g + 1441 What is the j'th term of -2067, -8250, -18555, -32982, -51531? -2061*j**2 - 6 What is the k'th term of 4031, 4957, 6499, 8657, 11431, 14821? 308*k**2 + 2*k + 3721 What is the t'th term of 614, 583, 534, 467, 382, 279, 158? -9*t**2 - 4*t + 627 What is the a'th term of -68053, -136109, -204165, -272221? -68056*a + 3 What is the k'th term of 189502, 379004, 568506, 758008, 947510? 189502*k What is the r'th term of 119, 88, 35, -40? -11*r**2 + 2*r + 128 What is the j'th term of -300, -659, -1018, -1377, -1736? -359*j + 59 What is the n'th term of 2236, 2032, 1828, 1624? -204*n + 2440 What is the k'th term of 310, 1294, 2946, 5266, 8254, 11910? 334*k**2 - 18*k - 6 What is the x'th term of -124, -471, -1048, -1855, -2892, -4159? -115*x**2 - 2*x - 7 What is the r'th term of 6731, 53822, 181651, 430586, 840995, 1453246, 2307707, 3444746? 6728*r**3 + r**2 - 8*r + 10 What is the u'th term of 274, 579, 1412, 3037, 5718, 9719? 44*u**3 - 3*u + 233 What is the d'th term of 103, 313, 645, 1099, 1675, 2373, 3193? 61*d**2 + 27*d + 15 What is the l'th term of 215, 339, 661, 1277, 2283, 3775, 5849, 8601? 16*l**3 + 3*l**2 + 3*l + 193 What is the b'th term of 5161, 20641, 46445, 82573? 5162*b**2 - 6*b + 5 What is the u'th term of -18799, -18943, -19087? -144*u - 18655 What is the u'th term of -883, -2082, -3275, -4462, -5643, -6818, -7987? 3*u**2 - 1208*u + 322 What is the w'th term of 40926, 40932, 40942, 40956, 40974? 2*w**2 + 40924 What is the y'th term of 418, 464, 518, 580, 650? 4*y**2 + 34*y + 380 What is the p'th term of -69168, -69170, -69172? -2*p - 69166 What is the u'th term of 64, 152, 280, 454, 680, 964, 1312? u**3 + 14*u**2 + 39*u + 10 What is the d'th term of 1504, 1517, 1568, 1681, 1880, 2189, 2632, 3233? 4*d**3 - 5*d**2 + 1505 What is the j'th term of 158, 138, 126, 140, 198? 3*j**3 - 14*j**2 + j + 168 What is the n'th term of 1644, 1645, 1646? n + 1643 What is the n'th term of 161, 246, 259, 200, 69, -134? -36*n**2 + 193*n + 4 What is the f'th term of 254, 278, 302, 326, 350, 374? 24*f + 230 What is the z'th term of 14834, 14899, 14962, 15023, 15082, 15139? -z**2 + 68*z + 14767 What is the j'th term of 77886, 77896, 77906? 10*j + 77876 What is the q'th term of 2256, 2238, 2220? -18*q + 2274 What is the n'th term of -3779, -3822, -3865, -3908, -3951? -43*n - 3736 What is the f'th term of -31733, -31738, -31743, -31748? -5*f - 31728 What is the l'th term of 12783, 12785, 12789, 12795, 12803, 12813? l**2 - l + 12783 What is the w'th term of 902, 903, 904, 905? w + 901 What is the p'th term of 290, 339, 390, 443, 498, 555, 614? p**2 + 46*p + 243 What is the c'th term of 6811, 13467, 20125, 26785, 33447, 40111? c**2 + 6653*c + 157 What is the y'th term of -62, -237, -690, -1559, -2982, -5097, -8042? -23*y**3 - y**2 - 11*y - 27 What is the b'th term of -26742, -26717, -26682, -26637, -26582, -26517, -26442? 5*b**2 + 10*b - 26757 What is the k'th term of -947279, -947277, -947277, -947279, -947283, -947289? -k**2 + 5*k - 947283 What is the m'th term of 26216, 53235, 80252, 107267, 134280, 161291? -m**2 + 27022*m - 805 What is the v'th term of -261, -912, -2001, -3528, -5493? -219*v**2 + 6*v - 48 What is the g'th term of -3383254, -3383253, -3383252, -3383251, -3383250? g - 3383255 What is the h'th term of -6584, -6636, -6688, -6740, -6792? -52*h - 6532 What is the a'th term of 80351, 80344, 80325, 80288, 80227, 80136, 80009? -a**3 + 80352 What is the t'th term of 3596, 3622, 3666, 3728, 3808? 9*t**2 - t + 3588 What is the i'th term of -1071, -1104, -1137, -1170, -1203? -33*i - 1038 What is the z'th term of 3934, 15822, 35668, 63478, 99258, 143014, 194752, 254478? z**3 + 3973*z**2 - 38*z - 2 What is the v'th term of -3, 100, 267, 486, 745, 1032, 1335? -2*v**3 + 44*v**2 - 15*v - 30 What is the h'th term of -22526, -45053, -67580? -22527*h + 1 What is the c'th term of -1502, -1444, -1350, -1220, -1054, -852? 18*c**2 + 4*c - 1524 What is the s'th term of -6675, -6716, -6785, -6882, -7007, -7160? -14*s**2 + s - 6662 What is the i'th term of 117, 420, 925, 1626, 2517, 3592? -i**3 + 107*i**2 - 11*i + 22 What is the m'th term of 448, 1044, 1792, 2692, 3744? 76*m**2 + 368*m + 4 What is the p'th term of -2217, -2531, -2855, -3195, -3557, -3947? -p**3 + p**2 - 310*p - 1907 What is the s'th term of -212938, -212937, -212940, -212947, -212958, -212973, -212992? -2*s**2 + 7*s - 212943 What is the m'th term of -1042, -1031, -1018, -1003, -986, -967? m**2 + 8*m - 1051 What is the q'th term of 208, 358, 450, 484, 460, 378, 238? -29*q**2 + 237*q What is the d'th term of 1162, 2605, 4048, 5491, 6934? 1443*d - 281 What is the j'th term of -70219, -70222, -70225? -3*j - 70216 What is the l'th term of -1044, -728, -438, -186, 16? -2*l**3 - l**2 + 333*l - 1374 What is the i'th term of -359, -293, -185, -35, 157? 21*i**2 + 3*i - 383 What is the j'th term of -31, 60, 151, 242, 333, 424? 91*j - 122 What is the u'th term of 7073, 14162, 21261, 28370? 5*u**2 + 7074*u - 6 What is the o'th term of -455, -866, -1271, -1670, -2063, -2450, -2831? 3*o**2 - 420*o - 38 What is the j'th term of 72, 284, 700, 1386, 2408, 3832? 11*j**3 + 36*j**2 + 27*j - 2 What is the m'th term of 753, 1454, 2155, 2856, 3557, 4258? 701*m + 52 What is the h'th term of 881, 917, 933, 917, 857, 741? -2*h**3 + 2*h**2 + 44*h + 837 What is the b'th term of -165, -189, -197, -183, -141, -65? b**3 + 2*b**2 - 37*b - 131 What is the n'th term of -7495, -15024, -22557, -30094? -2*n**2 - 7523*n + 30 What is the p'th term of -12, 11, 50, 105? 8*p**2 - p - 19 What is the c'th term of 31, -229, -1017, -2597, -5233, -9189, -14729? -44*c**3 + 48*c + 27 What is the i'th term of 1667414, 3334830, 5002246? 1667416*i - 2 What is the c'th term of 4876777, 4876775, 4876773, 4876771, 4876769, 4876767? -2*c + 4876779 What is the c'th term of -385, -369, -319, -217, -45, 215, 581, 1071? 3*c**3 - c**2 - 2*c - 385 What is the a'th term of -114, -66, 86, 402, 942, 1766, 2934? 10*a**3 - 8*a**2 + 2*a - 118 What is the a'th term of -328, -2339, -7816, -18493, -36104? -289*a**3 + a**2 + 9*a - 49 What is the i'th term of 127, 315, 923, 2161, 4239, 7367, 11755? 35*i**3 - 57*i + 149 What is the d'th term of -129, -60, 11, 84, 159? d**2 + 66*d - 196 What is the b'th term of 16275, 32560, 48835, 65094, 81331, 97540? -b**3 + b**2 + 16289*b - 14 What is the r'th term of -9789, -10055, -10499, -11121, -11921? -89*r**2 + r - 9701 What is the z'th term of -153, -273, -363, -423, -453, -453, -423? 15*z**2 - 165*z - 3 What is the p'th term of 1039, 1037, 1035? -2*p + 1041 What is the q'th term of -28413, -56860, -85307, -113754, -142201, -170648? -28447*q + 34 What is the f'th term of -62, -215, -452, -761, -1130, -1547? 2*f**3 - 54*f**2 - 5*f - 5 What is the y'th term of -470, -1563, -3382, -5927, -9198? -363*y**2 - 4*y - 103 What is the b'th term of -21894, -21900, -21920, -21960, -22026, -22124, -22260? -b**3 - b**2 + 4*b - 21896 What is the r'th term of -107, -735, -2441, -5765, -11247, -19427, -30845, -46041? -90*r**3 + r**2 - r - 17 What is the p'th term of -1043926, -2087853, -3131780, -4175707, -5219634? -1043927*p + 1 What is the k'th term of -1533, -12229, -41261, -97797, -191005? -1528*k**3 - 5 What is the z'th term of -93, -350, -753, -1302? -73*z**2 - 38*z + 18 What is the r'th term of -1077, -1034, -977, -906,
{ "pile_set_name": "DM Mathematics" }
are the prime factors of u? 31 Let p = 2 + -2. Suppose 7*r = 10 + 32. Let b = r + p. List the prime factors of b. 2, 3 Suppose 0 = -3*i - 3*v + 2*v + 1215, 2*i - v - 805 = 0. Suppose 10*c - 14*c - 599 = -3*u, -2*u = -5*c - i. List the prime factors of u. 197 Let b(w) = 7*w + 8. Suppose -10*p + 66 = -7*p. What are the prime factors of b(p)? 2, 3 Suppose 7*r - 1664 = 3*r. What are the prime factors of r? 2, 13 Suppose 10 = 5*j, -16*j = -2*u - 20*j + 4612. What are the prime factors of u? 2, 1151 Let h(r) = r**3 + 28*r**2 - 64*r - 44. What are the prime factors of h(-30)? 2, 19 Let b(t) be the first derivative of -4*t**3/3 - 5*t**2 + 27*t - 3. Let f(v) = 2*v**2 + 5*v - 13. Let j(k) = 2*b(k) + 5*f(k). List the prime factors of j(-5). 2, 7 Suppose 20 = 5*o, -211 = -2*q - o + 237. What are the prime factors of q? 2, 3, 37 Let c(h) = -4 + 2*h - 3*h + 5 - 2. Let a be c(-9). Let s(f) = f**2 - 7*f - 2. List the prime factors of s(a). 2, 3 Let p = -4788 + 8684. List the prime factors of p. 2, 487 Let w = -2 + 7. Suppose 25 = -w*q, -2*p = -p + q - 21. List the prime factors of p. 2, 13 Let a be (94/4)/((-2)/(-4)). Suppose 0 = -n - 4, -5*d + 2*n = 21 - 49. Suppose -5*y = -d*y - a. List the prime factors of y. 47 Let z(b) = b**3 + 22*b**2 - 18*b + 25. Let f be z(-20). Suppose -f = -5*k - 5*p - 95, 694 = 3*k - 5*p. List the prime factors of k. 223 Suppose -a = 2*a + 6. Let q be a - (-3 + 7 - 8). Suppose w + 63 = q*u, -148 = -5*u + 3*w + 8. What are the prime factors of u? 3, 11 Suppose 0 = 86*c - 69*c - 4199. List the prime factors of c. 13, 19 List the prime factors of (3/27*3)/(2/2460). 2, 5, 41 Suppose 8 = 6*z + 2. List the prime factors of (-2)/(4/(-14))*z. 7 Let u = 144 + -110. Let y = 130 + u. What are the prime factors of y? 2, 41 Let d be (-4)/2*10/4. Let q(k) be the first derivative of -k**3/3 - 3*k**2 + k - 104. What are the prime factors of q(d)? 2, 3 Suppose -4*f + 27 = 7*u - 2*u, 2*u - f - 3 = 0. Suppose -11 - 4 = -u*o. Suppose 0 = 2*i - 4*q - 18, 3*i + o - 21 = -5*q. List the prime factors of i. 7 Let w = -1 + -7. Let j(o) = -o + 8. Let i(b) = -1. Let q(m) = -3*i(m) + j(m). List the prime factors of q(w). 19 Let c(m) be the first derivative of -m**3/3 + 7*m**2/2 + 5. Let z be c(5). Suppose -2*j = -0*j - 3*k - 22, z = j - 2*k. What are the prime factors of j? 2, 7 List the prime factors of 47412/22 - (-23)/(-253). 5, 431 Let w = -201 - -469. List the prime factors of w. 2, 67 Suppose -16*d + 324 = -10*d. Let p = 173 - d. What are the prime factors of p? 7, 17 Suppose -2288 = -4*p + 4632. List the prime factors of p. 2, 5, 173 Suppose -t + 39 + 115 = 0. Let z = t + -96. What are the prime factors of z? 2, 29 Let p(s) = s**3 - 28*s**2 + 3*s + 12. List the prime factors of p(28). 2, 3 Let s = -23 - -44. Let i = s - -14. List the prime factors of i. 5, 7 Let a be (5/3)/((-3)/(-18)). Let s = 23 + -1. Let k = s - a. What are the prime factors of k? 2, 3 Let l(t) be the second derivative of 73*t**5/10 + t**4/6 + t**3/6 - t**2/2 - 7*t. What are the prime factors of l(1)? 2, 37 Let v be (357/28)/((-2)/(-8)). Suppose v*o = 47*o + 208. List the prime factors of o. 2, 13 List the prime factors of 27/(-81) + 607/3. 2, 101 Let c(x) = 223*x**2 + 16*x + 35. What are the prime factors of c(-2)? 5, 179 Let n = -11 - -21. Suppose -3*z = -2*u - 2*z + n, -z + 11 = 5*u. List the prime factors of u. 3 Suppose -4*j + 4*l - 8 = -0, 16 = -2*j + 5*l. List the prime factors of 23/1 - (j + -5). 2, 13 Suppose 0 = k + 3 - 5, -2*j + 5*k + 2750 = 0. What are the prime factors of j? 2, 3, 5, 23 Suppose 0 = -f + 5 + 11. Let y be (1 + 21)/((2 + 10)/6). What are the prime factors of (y/(-4))/((-4)/f)? 11 Suppose 0 = -9*o + 2*o + 791. List the prime factors of o. 113 Let k(b) = 526*b**3 + 2*b**2 + 7*b - 7. What are the prime factors of k(1)? 2, 3, 11 Suppose 0*g + 6 = 3*g, -g = w - 2. Suppose 2*q + 3*y = 2*y - 58, 3*q - 5*y + 100 = w. List the prime factors of (q/4)/(6/(-32)). 2, 5 Let f(b) = b + 23. Suppose 5*v + 3*y = -57, v + 3*y + 25 = 4. What are the prime factors of f(v)? 2, 7 Let a(k) = 983*k - 52. What are the prime factors of a(2)? 2, 3, 11, 29 Suppose -14*c + 741 = -11*c. What are the prime factors of c? 13, 19 Let k be (-4 - -1 - -5) + 1. What are the prime factors of -4 + 44*4 + k? 5, 7 Suppose -3*k + 10 = 2*k. Suppose 2*j + 60 = b, 120 = 2*b + k*j - 5*j. Suppose -7*m + b = -m. List the prime factors of m. 2, 5 Let g = -52 + 123. Suppose -3*r = n - 270, 3*n + 2*n = -5*r + 450. Suppose -4*m = 3*t - g, -5*m - 3*t - t = -r. What are the prime factors of m? 2, 7 Suppose 7*q - 5*q = 5*v + 940, q - v - 467 = 0. List the prime factors of q. 3, 5, 31 Let d = 33 - -926. List the prime factors of d. 7, 137 Let u(b) = -b**3 + 7*b**2 + 3. Let w be u(7). Suppose 2*v = -2*g, 0 = v - g - w*g. Suppose -36 + v = -6*d. List the prime factors of d. 2, 3 Let w(r) = r**2 + 3*r + 524. What are the prime factors of w(0)? 2, 131 Suppose 2*n + 14*i = 16*i + 3768, 3*i = 0. What are the prime factors of n? 2, 3, 157 Let k = -1519 + 2303. What are the prime factors of k? 2, 7 Let j(a) = 89*a + 39. List the prime factors of j(46). 4133 Let v = -172 + 166. What are the prime factors of 5/(10/v) + 276? 3, 7, 13 Let k be 29 + (-2 + 1 - 2). Suppose 68 = w + k. Let j = w - 26. List the prime factors of j. 2 Suppose -12*d = -198 - 54. List the prime factors of 2 - ((-8)/(-2) - d). 19 Suppose -4*p - 3*a = -7*a - 2008, 5*p + a = 2498. What are the prime factors of p? 2, 5 Let q = 16 + -23. Let f(o) = 3*o**2 + 5*o + 1. List the prime factors of f(q). 113 Let f(i) = i + 11. Let a be f(-6). Suppose -a*g + 55 = -65. Suppose g = 3*v - 15. List the prime factors of v. 13 Let z(n) be the first derivative of n**4/4 - n**3/3 - n**2/2 + 12*n - 31. Let s be (0/(1 + -2))/1. List the prime factors of z(s). 2, 3 Let b(n) = -2*n**2 + 8*n - 5. Let d(s) = s + 5. Let w be d(0). Let v be b(w). What are the prime factors of ((-10)/v)/((-2)/(-78))? 2, 13 Let t = 2348 + -314. List the prime factors of t. 2, 3, 113 Let u be (4 - -80)*(-1 - 3/(-2)). List the prime factors of (6/(-4))/((-7)/u). 3 Suppose -171 = -12*h + 3*h. What are the prime factors of h? 19 What are the prime factors of 4659/(21/7) + 4? 3, 173 Let p = -1316 - -2630. What are the prime factors of p? 2, 3, 73 Let f be ((-45)/6 - -3)*28. Let q = f - -285. What are the prime factors of q? 3, 53 Suppose 0 = -5*i - 4*c + 8264, 0 = 2*c + 198 - 190. What are the prime factors of i? 2, 3, 23 Let j(w) = w**2 + 6*w + 3. Let b be j(-6). Suppose 0 = -b*x + 3*r + r + 267, x = 5*r + 89. List the prime factors of x. 89 Let p = -27 + 471. What are the prime factors of p? 2, 3, 37 Let c = -14 + 10. Let f be (48/(-40))/(2/(1 + 99)). List the prime factors of 14/c*f/21. 2, 5 Suppose 3*l + 0*l - 3 = 0. Let m be 2 + (-1)/l + -3. What are the prime factors of (-3)/m*26 + 2? 41 Suppose 39*i - 37*i - 1450 = 0. What are the prime factors of i? 5, 29 Let a be -3 - (-380)/9 - (-8)/(-36). Suppose 34*y - a*y + 145 = 0. List the prime factors of y. 29 Let u(g) = -g**2 - 22*g + 6. Let l be u(-15). What are the prime factors of (-2*l/2)/(87/(-58))? 2, 37 Let s = 728 + -531. What are the prime factors of s? 197 Let v be (65 - -1) + (-6)/3. Let o = v + -46. List the prime factors of o. 2, 3 Let n be (-3 + 74/6)/((-4)/(-12)). Suppose -p + u + u - 6 = 0, 4*u = p + 16. Suppose 0*s - p*q = -3*s + n, -1 = q. List the prime factors of s. 2 Suppose -2*k + 155 = 3*k. Let a = k - -11. Suppose -3*x + 3 + a = 0. List the prime factors of x. 3, 5 What are the prime factors of (-39)/91 + -3*(-2638)/42? 2, 47 Let v be -3*12/(-9)*(-394)/(-8). Suppose -v = 28*y - 29*y. What are the prime factors of y? 197 Suppose 3*r + 6 = 0, 187 = 5*m - 2*r - 272. Let u = -38 + m. What are the prime factors of u? 53 Suppose 2*t - q = 3*q + 142, q = 5*t - 319. List the prime factors of t. 3, 7 Let u = -12 + 15. Suppose u*g + 52 = 397. List the prime factors of g. 5, 23 What are the prime factors of (19 - 18)*(-726)/(-3)? 2, 11 Let m = -1 - -7. Suppose -33 = 3*k - 3*j + m*j, 0 = 3*j + 3. What are the prime factors of 4/k + (-17)/(-5)? 3 Let n = 426 + 17. List the prime factors of n. 443 Let v(n) = n - 8. Let z be v(-8). Let r be (-10)/(-25) + z/(-10). Suppose 2*s - u - 85 = -0*s, -10 = -r*u. List the prime factors of s. 3, 5
{ "pile_set_name": "DM Mathematics" }
uence ln when two letters picked without replacement from nlnnw. 3/20 Calculate prob of sequence ioo when three letters picked without replacement from ooooioooooooiooioo. 35/272 Calculate prob of sequence iie when three letters picked without replacement from {f: 3, e: 2, i: 3, b: 1, g: 1}. 1/60 Four letters picked without replacement from {n: 4, t: 1, q: 2, j: 5, w: 2}. Give prob of sequence qtww. 1/6006 Four letters picked without replacement from {s: 3, d: 8}. What is prob of sequence sdsd? 7/165 Four letters picked without replacement from {a: 10, m: 1, f: 9}. Give prob of sequence aamf. 9/1292 Calculate prob of sequence bed when three letters picked without replacement from bkedekbakaboa. 1/286 What is prob of sequence csss when four letters picked without replacement from {c: 2, w: 2, s: 10}? 60/1001 What is prob of sequence pkp when three letters picked without replacement from ggpgkkkpkgg? 4/495 Three letters picked without replacement from ntneptnn. What is prob of sequence pet? 1/168 Calculate prob of sequence ey when two letters picked without replacement from ynryeejjynyyyeyene. 35/306 Four letters picked without replacement from {o: 1, u: 2, g: 1, r: 4, k: 1, p: 3}. Give prob of sequence rugp. 1/495 Calculate prob of sequence qjbj when four letters picked without replacement from {b: 3, j: 11, q: 1}. 11/1092 What is prob of sequence yw when two letters picked without replacement from {y: 6, w: 7, b: 1}? 3/13 Four letters picked without replacement from jttjtjjjjjjjjjjjjjjj. Give prob of sequence tjtt. 1/1140 Three letters picked without replacement from {i: 2, f: 2, r: 1, b: 1}. Give prob of sequence fbr. 1/60 Two letters picked without replacement from ooosjojooooojojjoj. What is prob of sequence so? 11/306 Calculate prob of sequence xx when two letters picked without replacement from xxyyxyxxxxyyy. 7/26 What is prob of sequence aph when three letters picked without replacement from ahipipibbpi? 1/330 Four letters picked without replacement from {n: 6, e: 4}. What is prob of sequence ennn? 2/21 What is prob of sequence yymy when four letters picked without replacement from mmyymy? 1/20 Two letters picked without replacement from tpttpttttpptpptp. What is prob of sequence tt? 3/10 What is prob of sequence tk when two letters picked without replacement from ltlbbtltlfkbffwffkf? 1/57 Two letters picked without replacement from eitjipt. What is prob of sequence pj? 1/42 What is prob of sequence ll when two letters picked without replacement from {y: 6, a: 1, c: 1, l: 2, v: 2}? 1/66 Calculate prob of sequence hl when two letters picked without replacement from {h: 5, q: 3, l: 1}. 5/72 Calculate prob of sequence aaa when three letters picked without replacement from aavav. 1/10 Calculate prob of sequence pa when two letters picked without replacement from {c: 4, a: 1, p: 7, l: 1}. 7/156 Four letters picked without replacement from iiattwwizttiak. Give prob of sequence ktta. 1/1001 Three letters picked without replacement from dddddd. Give prob of sequence ddd. 1 Calculate prob of sequence nnbm when four letters picked without replacement from {b: 1, a: 3, n: 8, m: 6}. 7/1530 Four letters picked without replacement from vvvv. Give prob of sequence vvvv. 1 What is prob of sequence mqr when three letters picked without replacement from {r: 1, d: 1, q: 9, m: 5}? 3/224 Four letters picked without replacement from wwaapwsswwsaq. Give prob of sequence aqpw. 1/1144 Two letters picked without replacement from {w: 2, u: 5, m: 2}. Give prob of sequence um. 5/36 Four letters picked without replacement from {s: 1, x: 7, f: 2}. What is prob of sequence sffx? 1/360 Two letters picked without replacement from ubbgwpi. Give prob of sequence bg. 1/21 Two letters picked without replacement from {h: 1, b: 3, v: 3, l: 4}. What is prob of sequence vl? 6/55 What is prob of sequence ot when two letters picked without replacement from ffottfgfffffff? 1/91 Two letters picked without replacement from xtrgtlmlx. Give prob of sequence mg. 1/72 Calculate prob of sequence vli when three letters picked without replacement from ieieielvviieliii. 1/105 Calculate prob of sequence mfgm when four letters picked without replacement from {f: 5, m: 3, g: 5}. 5/572 Two letters picked without replacement from imebbbbe. What is prob of sequence be? 1/7 Calculate prob of sequence zdz when three letters picked without replacement from {d: 9, z: 6, i: 4}. 15/323 What is prob of sequence ff when two letters picked without replacement from frrepf? 1/15 What is prob of sequence xf when two letters picked without replacement from ffx? 1/3 Calculate prob of sequence lal when three letters picked without replacement from aalalaaalalaaaalala. 65/969 What is prob of sequence oyay when four letters picked without replacement from {y: 2, o: 3, a: 3}? 3/280 Four letters picked without replacement from {l: 2, g: 4}. What is prob of sequence ggll? 1/15 What is prob of sequence oo when two letters picked without replacement from {w: 1, o: 3}? 1/2 Three letters picked without replacement from {l: 1, n: 2, i: 7}. Give prob of sequence nln. 1/360 Two letters picked without replacement from slusssoduuhuddsuddsd. What is prob of sequence hl? 1/380 Two letters picked without replacement from qqlppnpnpn. What is prob of sequence ql? 1/45 Calculate prob of sequence dppd when four letters picked without replacement from dpdpdpdpdd. 1/14 Calculate prob of sequence twt when three letters picked without replacement from {k: 1, t: 2, s: 1, w: 1, z: 1, m: 1}. 1/105 Calculate prob of sequence mlm when three letters picked without replacement from mmhllzlzlzmmmhm. 4/91 What is prob of sequence vaav when four letters picked without replacement from {a: 6, v: 7}? 21/286 What is prob of sequence oz when two letters picked without replacement from {o: 5, z: 3, r: 1}? 5/24 Calculate prob of sequence lq when two letters picked without replacement from lnrrrnqlllqrr. 2/39 Calculate prob of sequence fqcq when four letters picked without replacement from fcqfcqfcfqcecfcceqc. 5/969 Four letters picked without replacement from fqfqoqoqqoo. Give prob of sequence qqqq. 1/66 Three letters picked without replacement from {u: 8, r: 5, p: 4}. What is prob of sequence ppu? 2/85 Calculate prob of sequence bbbp when four letters picked without replacement from {p: 5, b: 3}. 1/56 Three letters picked without replacement from {t: 7, b: 4}. Give prob of sequence tbb. 14/165 What is prob of sequence hdh when three letters picked without replacement from hhdehhhhhehdhhd? 9/91 Four letters picked without replacement from {d: 2, u: 4, f: 1, l: 1, o: 1}. Give prob of sequence lufo. 1/756 Four letters picked without replacement from iiaasaicaiwa. What is prob of sequence awsc? 1/2376 What is prob of sequence pp when two letters picked without replacement from mjjjpjpepjjpjpam? 1/12 What is prob of sequence lets when four letters picked without replacement from itstlatatteitt? 1/3432 What is prob of sequence nn when two letters picked without replacement from {n: 2, b: 1, s: 2}? 1/10 Four letters picked without replacement from {c: 1, s: 1, q: 1, t: 1, r: 1}. Give prob of sequence rcsq. 1/120 Calculate prob of sequence mq when two letters picked without replacement from {j: 1, k: 8, q: 3, a: 6, m: 1}. 1/114 What is prob of sequence vj when two letters picked without replacement from {f: 1, r: 1, j: 1, v: 1, c: 1}? 1/20 Three letters picked without replacement from hhjdjhh. What is prob of sequence jhd? 4/105 Four letters picked without replacement from qbtqcctqbcq. Give prob of sequence qctb. 1/165 Four letters picked without replacement from tytyyyytyy. Give prob of sequence tytt. 1/120 Calculate prob of sequence ws when two letters picked without replacement from {w: 4, k: 1, e: 7, s: 1}. 1/39 Calculate prob of sequence nnfp when four letters picked without replacement from pnnfnnpnnn. 1/60 What is prob of sequence ffbn when four letters picked without replacement from {y: 2, b: 12, f: 3, n: 3}? 3/1615 What is prob of sequence achc when four letters picked without replacement from {n: 4, d: 2, h: 1, c: 2, a: 1}? 1/2520 What is prob of sequence ppl when three letters picked without replacement from ppflrrmmprxmpprp? 1/112 What is pr
{ "pile_set_name": "DM Mathematics" }
9915, -130530, -131549, -132966, -134775, -136970, -139545? q**3 - 208*q**2 + 2*q - 129710 What is the t'th term of 2809, 5557, 8197, 10729? -54*t**2 + 2910*t - 47 What is the j'th term of -68577, -136822, -205067, -273312, -341557? -68245*j - 332 What is the d'th term of 5313, 5221, 5051, 4803? -39*d**2 + 25*d + 5327 What is the h'th term of -48079, -95883, -143687? -47804*h - 275 What is the l'th term of -8906, -71464, -241312, -572096, -1117462? -8941*l**3 + l**2 + 26*l + 8 What is the a'th term of -650345, -1300574, -1950685, -2600678, -3250553, -3900310, -4549949? 59*a**2 - 650406*a + 2 What is the f'th term of -184795, -370306, -555817, -741328, -926839? -185511*f + 716 What is the g'th term of -105959, -110822, -115685, -120548, -125411? -4863*g - 101096 What is the o'th term of 127, 1036, 3511, 8338, 16303? 131*o**3 - 3*o**2 + o - 2 What is the b'th term of 649, 379, 97, -197, -503? -6*b**2 - 252*b + 907 What is the a'th term of -1154, -2376, -4414, -7268? -408*a**2 + 2*a - 748 What is the w'th term of -5557398, -11114789, -16672180? -5557391*w - 7 What is the s'th term of -15829, -15059, -14291, -13525, -12761? -s**2 + 773*s - 16601 What is the w'th term of -449, -384, -275, -134, 27? -2*w**3 + 34*w**2 - 23*w - 458 What is the s'th term of -823993, -824104, -824215, -824326? -111*s - 823882 What is the g'th term of 11116, 10925, 10746, 10579, 10424, 10281? 6*g**2 - 209*g + 11319 What is the k'th term of 55229724, 55229731, 55229738, 55229745, 55229752? 7*k + 55229717 What is the c'th term of 53777626, 53777622, 53777618, 53777614, 53777610, 53777606? -4*c + 53777630 What is the k'th term of 12019, 18051, 24081, 30109, 36135? -k**2 + 6035*k + 5985 What is the s'th term of -6607, -12318, -18029, -23740, -29451, -35162? -5711*s - 896 What is the s'th term of -4414, -8743, -13114, -17533, -22006, -26539, -31138? -s**3 - 15*s**2 - 4277*s - 121 What is the k'th term of 1681938, 6727741, 15137412, 26910951, 42048358, 60549633? 1681934*k**2 + k + 3 What is the l'th term of -14191, -27650, -40371, -52354, -63599, -74106, -83875? 369*l**2 - 14566*l + 6 What is the o'th term of -34198814, -68397634, -102596454? -34198820*o + 6 What is the x'th term of -5165, -18171, -39019, -67709, -104241, -148615? -3921*x**2 - 1243*x - 1 What is the f'th term of -13740, -13961, -14324, -14829, -15476, -16265? -71*f**2 - 8*f - 13661 What is the l'th term of -52093, -51769, -51445, -51121, -50797? 324*l - 52417 What is the w'th term of 19448, 38860, 58272, 77684? 19412*w + 36 What is the d'th term of 2002, 5182, 9060, 13636, 18910, 24882, 31552? 349*d**2 + 2133*d - 480 What is the l'th term of 15752, 62130, 139420, 247616, 386712? -l**3 + 15462*l**2 - l + 292 What is the b'th term of -238351, -238394, -238437? -43*b - 238308 What is the l'th term of -737, -1642, -2683, -3866, -5197, -6682? -l**3 - 62*l**2 - 712*l + 38 What is the d'th term of -1119462, -2238876, -3358290? -1119414*d - 48 What is the d'th term of 320288, 640617, 960946? 320329*d - 41 What is the r'th term of 1153976, 4615909, 10385788, 18463607, 28849360, 41543041, 56544644, 73854163? -r**3 + 1153979*r**2 + 3*r - 5 What is the a'th term of 9642, 38512, 86604, 153924, 240478, 346272? a**3 + 9605*a**2 + 48*a - 12 What is the m'th term of -4875057, -4875058, -4875059, -4875060, -4875061, -4875062? -m - 4875056 What is the s'th term of 27657304, 55314621, 82971946, 110629279? 4*s**2 + 27657305*s - 5 What is the i'th term of -242736339, -242736341, -242736343? -2*i - 242736337 What is the y'th term of -265237, -1060832, -2386789, -4243108? -265181*y**2 - 52*y - 4 What is the w'th term of -840, -3984, -10330, -20784, -36252, -57640, -85854, -121800? -151*w**3 - 695*w**2 - 2*w + 8 What is the v'th term of 321, -574, -1487, -2418, -3367, -4334? -9*v**2 - 868*v + 1198 What is the r'th term of 429340, 858955, 1288570, 1718185, 2147800? 429615*r - 275 What is the y'th term of -131604, -131295, -130458, -128829, -126144? 44*y**3 + y - 131649 What is the i'th term of -20371106, -40742210, -61113314, -81484418, -101855522? -20371104*i - 2 What is the j'th term of 426026, 3408178, 11502584, 27265370, 53252662, 92020586, 146125268? 426021*j**3 + j**2 + 2*j + 2 What is the d'th term of -283360, -566666, -849972, -1133278, -1416584, -1699890? -283306*d - 54 What is the b'th term of -808123, -808115, -808103, -808087, -808067, -808043, -808015? 2*b**2 + 2*b - 808127 What is the l'th term of -59432146, -118864289, -178296432? -59432143*l - 3 What is the a'th term of -595, -1910, -3131, -4264, -5315, -6290, -7195, -8036? -a**3 + 53*a**2 - 1467*a + 820 What is the i'th term of 7762954, 7762957, 7762960? 3*i + 7762951 What is the m'th term of -148173403, -296346812, -444520221? -148173409*m + 6 What is the g'th term of -2794, -5501, -8150, -10741, -13274, -15749, -18166? 29*g**2 - 2794*g - 29 What is the d'th term of 13911, 35082, 56253, 77424, 98595? 21171*d - 7260 What is the v'th term of -4865, -20500, -46909, -84092? -5387*v**2 + 526*v - 4 What is the o'th term of 2893719, 5787439, 8681159? 2893720*o - 1 What is the m'th term of 1680, 3282, 4784, 6186? -50*m**2 + 1752*m - 22 What is the q'th term of 75010, 75563, 76116? 553*q + 74457 What is the j'th term of -83516, -83685, -83958, -84329, -84792, -85341? j**3 - 58*j**2 - 2*j - 83457 What is the x'th term of -818630, -3274524, -7367680, -13098098, -20465778? -818631*x**2 - x + 2 What is the u'th term of 19076, 27003, 34930, 42857, 50784? 7927*u + 11149 What is the a'th term of 31061079, 31061080, 31061081? a + 31061078 What is the s'th term of -34639, -34947, -35747, -37273, -39759? -39*s**3 - 12*s**2 + s - 34589 What is the g'th term of -94861432, -94861430, -94861426, -94861420, -94861412? g**2 - g - 94861432 What is the w'th term of -842288, -842307, -842330, -842357, -842388? -2*w**2 - 13*w - 842273 What is the o'th term of 343687, 687357, 1031021, 1374679, 1718331? -3*o**2 + 343679*o + 11 What is the a'th term of -392517, -392454, -392391, -392328, -392265, -392202? 63*a - 392580 What is the h'th term of -47388, -189774, -427090, -759336, -1186512? -47465*h**2 + 9*h + 68 What is the a'th term of -20463596, -40927185, -61390774, -81854363, -102317952? -20463589*a - 7 What is the q'th term of 20560, 82285, 185176, 329233, 514456, 740845? 20583*q**2 - 24*q + 1 What is the f'th term of 753, 1386, 2003, 2598, 3165, 3698? -f**3 - 2*f**2 + 646*f + 110 What is the j'th term of -273, -852, -1733, -3066, -5001? -25*j**3 - j**2 - 401*j + 154 What is the w'th term of -2346824523, -2346824524, -2346824527, -2346824532, -2346824539, -2346824548, -2346824559? -w**2 + 2*w - 2346824524 What is the p'th term of 199391820, 398783640, 598175460, 797567280, 996959100? 199391820*p What is the w'th term of -102, -11, 268, 729, 1366, 2173? -w**3 + 100*w**2 - 202*w + 1 What is the i'th term of 2061, 3091, 4137, 5199? 8*i**2 + 1006*i + 1047 What is the o'th term of -24353619, -24353619, -24353621, -24353625, -24353631, -24353639? -o**2 + 3*o - 24353621 What is the q'th term of 469, 1031, 1775, 2785, 4145, 5939, 8251? 14*q**3 + 7*q**2 + 443*q + 5 What is the a'th term of -2502, -5002, -7484, -9936, -12346, -14702, -16992, -19204? 2*a**3 - 3*a**2 - 2505*a + 4 What is the i'th term of 115060, 115077, 115094? 17*i + 115043 What is the f'th term of -3303, -35570, -67835, -100098, -132359? f**2 - 32270*f + 28966 What is the m'th term of 6026797, 6026821, 6026845, 6026869, 6026893? 24*m + 6026773 What is the x'th term of -1833870, -1833982, -1834084, -1834170, -1834234, -1834270, -1834272? x**3 - x**2 - 116*x - 1833754 What is the c'th term of 2113866, 4227729, 6341592, 8455455, 10569318, 12683181? 2113863*c + 3 What is the s'th term of 169088, 169265, 169444, 169625, 169808, 169993, 170180? s**2 + 174*s + 168913 What is the g'th term of -381859, -381910, -381961, -382012? -51*g - 381808 What is the l'th term of 2272852, 2272866, 2272896, 2272948, 2273028, 2273142? l**3 + 2*l**2 + l + 2272848 What is the w'th term of 70137, 140314, 210563, 280920, 351421, 422102, 492999, 564148? 6*w**3 + 70135*w - 4 What is the p'th term of -26854, -53601, -80330, -107035, -133710, -160349? p**3 + 3*p**2 - 26763*p - 95 What is the p'th term of -78, -812, -2888, -7002, -13850, -24128, -38532? -116*p**3 +
{ "pile_set_name": "DM Mathematics" }
+ 25. Let t be -15 + 1 + (-2)/(-1). Let z(a) = 4*a + 5. Determine t*z(v) + w*b(v). 2*v Let p(t) = t. Suppose -3*k = 10 - 13. Let o(d) = 15*d. Give k*o(a) - 18*p(a). -3*a Let o(j) = -3*j**2 + 10*j - 1. Let p(b) = -4*b**2 + 10*b - 1. Give 6*o(f) - 5*p(f). 2*f**2 + 10*f - 1 Suppose -2*w - 5*d = -25, w + 30 - 10 = 4*d. Let v = 1 - w. Let s(t) be the first derivative of t + 1. Let x(m) = -2*m - 3. Calculate v*x(f) + 2*s(f). -2*f - 1 Suppose -3*u + 7 + 8 = 0. Suppose g - u*o - 14 = 0, 3*g - 4*g - 4*o = 31. Let s = 1 - 3. Let r(i) = i - 1. Let y(t) = -5*t + 5. Give g*r(h) + s*y(h). -h + 1 Let c(g) = 9*g**3 + 9*g**2 + 4*g. Let o(n) be the first derivative of -n**4 - 4*n**3/3 - n**2 - 5. Let q = 4 + -6. Determine q*c(d) - 5*o(d). 2*d**3 + 2*d**2 + 2*d Suppose -g = -0 - 2. Suppose g*n + 21 = -n. Let x(t) = 4*t**2 + 3. Let a(w) = -9*w**2 - 7. Determine n*x(u) - 3*a(u). -u**2 Let t(n) = n - 1. Let x(m) = 72*m + 4. Determine 4*t(z) + x(z). 76*z Let m = 9 - 6. Let x(j) = -m + 1 + 3*j + 1 - 3. Let v(p) = 10*p**3 + p. Let w be v(1). Let s(r) = 16*r - 21. Calculate w*x(h) - 2*s(h). h - 2 Let c(z) = 4*z - 3. Let y(m) = -m + 1. Let s(t) = 2*c(t) + 6*y(t). Let b(f) = 3*f + 1. What is 3*b(r) - 4*s(r)? r + 3 Let o be 12 + (-1)/(2/((-8)/(-4))). Let k(t) = -8*t**2 + 7. Let y(z) = 4*z**2 - 4. Calculate o*y(p) + 6*k(p). -4*p**2 - 2 Let t(x) = -x**3 - x**2 + 1. Let z(v) = v**2. Suppose 5*q = -4*c + 5, -12 = -q + 2*c + 3. Let g be ((-39)/15 + 3)*q. Calculate g*t(b) + 4*z(b). -2*b**3 + 2*b**2 + 2 Let q(o) = -3*o**3 + 5*o**2 + 2*o - 8. Let w(b) = -2*b**3 + 3*b**2 + b - 5. What is 5*q(g) - 8*w(g)? g**3 + g**2 + 2*g Let g(p) be the third derivative of -p**4/24 + p**3/6 + p**2. Let a(k) = 3*k - 2. Let n be 8 + -14 + 10 + -7 + 1. What is n*a(x) - 4*g(x)? -2*x Let m(j) = 3*j**2 + 2*j**3 + 5*j - 3 - 5*j**2 + 3*j**2 - 4*j**2. Let a be (-2)/(1/(-3)*2). Let s(h) = -5*h**3 + 8*h**2 - 14*h + 8. Calculate a*s(d) + 8*m(d). d**3 - 2*d Let l(t) be the third derivative of -t**6/60 - 5*t**3/6 + 7*t**2 + 3*t. Let v(w) = 6*w**3 + 16. Let h be -1 + (16/(-2))/(-2). Determine h*v(a) + 10*l(a). -2*a**3 - 2 Let g(h) = 11*h**2 + 7*h - 3. Let u(a) = -5*a**2 - 3*a + 2. What is -3*g(x) - 7*u(x)? 2*x**2 - 5 Let w(r) = r**3 + r**2 + 1. Let k(x) = -x**3 + x. Let i(y) = -7*y**3 + 4*y**2 + 6*y + 1. Let t(u) = -i(u) + 6*k(u). Give t(m) + w(m). 2*m**3 - 3*m**2 Let s(n) = 4*n - 7. Let a(p) = 3*p - 6. Suppose 10 = 4*u - 9*u. Let w be 62/(-10) + u/(-10). Determine w*a(m) + 5*s(m). 2*m + 1 Let y(w) = 2*w. Let i(t) = -t - 4. Let z(p) = i(p) - y(p). Let v(m) = 4*m + 5. What is -2*v(d) - 3*z(d)? d + 2 Let x(k) = 2*k + 11. Let a(j) = -6*j - 32. Determine -6*a(o) - 17*x(o). 2*o + 5 Let c = 17 + -13. Let m(v) = v**2 - 1. Let y(d) be the second derivative of -5/2*d**2 + 1/3*d**4 - 1/20*d**5 - 1/6*d**3 + 0 + 3*d. Determine c*m(u) - y(u). u**3 + u + 1 Let w(h) = 5*h - 1. Let d(l) = 11*l - 2. Let m(t) = -6*d(t) + 13*w(t). Let y(q) = -q - 3. Calculate -3*m(v) + y(v). 2*v Let l(d) = -d. Let i(f) = 0*f**2 + 5*f + 3*f**2 - 5*f**2 + 0*f. Calculate i(w) + 6*l(w). -2*w**2 - w Let l(t) = -10*t**2 + 7. Suppose 3*p + 6 + 34 = 4*a, 0 = -5*a - 2*p + 27. Let n(j) = -7*j**2 + 5. Give a*n(z) - 5*l(z). z**2 Let u(s) = 7*s - 4. Let q(g) = 0*g - 10*g - 13 + 10 + 9. What is -5*q(o) - 7*u(o)? o - 2 Suppose w = -7*w - 48. Let u(g) = 4*g - 7. Let r(l) = -2*l + 4. What is w*u(t) - 11*r(t)? -2*t - 2 Let b be (-28)/(-12)*-6*1. Let f be 4/b - (-108)/(-14). Let q = -11 - f. Let o(z) = 2*z. Let t(l) = -l. Give q*o(r) - 5*t(r). -r Let m(c) = 0*c + 5*c - 5*c + c. Let r(g) = -3*g. Calculate 6*m(q) + r(q). 3*q Let i(l) = -2*l**2 + 8*l - 7. Let j be i(4). Let n(t) = -7*t + 2. Let a(s) = -8*s + 2. Give j*n(q) + 6*a(q). q - 2 Let z(k) be the second derivative of 2/3*k**3 - k + 1/2*k**2 + 0. Let r(q) = q**3 - q + 1. Give -2*r(s) - z(s). -2*s**3 - 2*s - 3 Let l(j) be the second derivative of j**4/12 + 7*j**3/6 - 8*j. Let g(x) = x**2 + 6*x. Determine 7*g(m) - 6*l(m). m**2 Let r(l) = -2*l**2 - 5*l. Let q(j) be the third derivative of -j**4/24 + 20*j**2. Let t be 45/(-55) + (-2)/11. Determine t*r(h) + 6*q(h). 2*h**2 - h Let p(o) be the second derivative of 7*o**5/20 + 5*o**4/12 + 2*o**3/3 - 3*o**2 - 6*o. Let c(h) = -h**3 - h**2 - h + 1. Calculate -6*c(i) - p(i). -i**3 + i**2 + 2*i Let s(q) = q - 14. Let i be s(7). Let m(d) = -3*d - 5. Let w(y) be the first derivative of -3*y**2 - 9*y - 4. Calculate i*m(u) + 4*w(u). -3*u - 1 Let v(s) = -s**3 + 3*s**2 - 5. Let a be 2*1 - 49/7. Let f(b) = 2*b**3 - 5*b**2 + 8. What is a*f(q) - 8*v(q)? -2*q**3 + q**2 Let r(w) = 4*w**2 - 2*w + 1. Let q(o) = -5*o**2 + 2*o - 2. Determine -5*q(x) - 6*r(x). x**2 + 2*x + 4 Let h(v) = -4*v**2 - 7*v**2 - 6*v**2. Let f(u) be the second derivative of u**4/3 - 6*u. Suppose -2*a + 24 = -6*a. What is a*h(k) - 26*f(k)? -2*k**2 Let g(d) = 5. Let m(p) be the second derivative of p**3/6 + 11*p**2/2 - 23*p. Give 5*g(q) - 2*m(q). -2*q + 3 Let b(g) be the second derivative of g**5/20 + g. Let p(h) = h**2 + 4*h + 2. Let v = -1 - 3. Let t be p(v). Let o(j) = -j**3. What is t*o(w) + b(w)? -w**3 Let g be 3*2*(-1)/(-2). Let h(c) = 4 - 5*c + g*c - 5*c**2 + 2*c - c. Let o(b) = -b**2 + 1. What is -h(v) + 4*o(v)? v**2 + v Let p(c) = -11*c. Let t(d) = 4*d. Calculate -2*p(a) - 7*t(a). -6*a Let i(w) = 2*w**3 + 4*w + 5. Let v be 12/18*3/1. Let l(u) = 3*u**3 + 9*u - v*u**3 + u**3 + 2*u**3 + 11. What is -13*i(b) + 6*l(b)? -2*b**3 + 2*b + 1 Let r(k) = -17*k**2 + 4*k + 17. Let q(b) = 8*b**2 - 2*b - 8. Determine -13*q(l) - 6*r(l). -2*l**2 + 2*l + 2 Let l(d) = -15*d - 10. Let r(w) = 5*w + 3. What is 2*l(b) + 7*r(b)? 5*b + 1 Let q(o) = 5*o + 2. Let b(p) = -2*p - 1. Let s(n) = -13*b(n) - 6*q(n). Let x(z) = 9*z - 2. Determine 5*s(a) + 2*x(a). -2*a + 1 Let n(z) = 9*z**3 - 5*z**2 - 3*z - 7. Let c(s) = 4*s**3 - 2*s**2 - s - 3. Calculate 5*c(m) - 2*n(m). 2*m**3 + m - 1 Let m(s) = -9*s + 8. Let t(y) = 27*y - 23. Let q(o) = -7*m(o) - 2*t(o). Let n(p) = -8*p + 9. Give -7*n(z) - 6*q(z). 2*z - 3 Let q(o) = -2 - 4*o + 0 + 2*o + 0*o**2 - o**2. Let j(z) = z**2 - z - 1. Calculate 2*j(k) - q(k). 3*k**2 Let c(d) = -4*d**3 - 4*d. Let l(h) = 11*h**3 + 11*h. Suppose 4*a + w - 7 = 1, w + 19 = 5*a. Determine a*l(r) + 8*c(r). r**3 + r Let s(r) = 8*r**2 - 3. Let d(b) = -4*b**2 - 5 + 2*b**2 + 3 + 9*b**2. Give 6*d(l) - 5*s(l). 2*l**2 + 3 Let y(c) = -3*c**3 + 9*c**2 + 9. Let b(n) = -2*n**3 + 5*n**2 + 5. Suppose 3*p + 40 = -5*s, 0 = s + s + 10. What is p*y(z) + 9*b(z)? -3*z**3 Let n(k) = -3*k - 1. Let u(t) = -12*t - 4. Suppose -5*c + 4*c + 9 = 0. Give c*n(d) - 2*u(d). -3*d - 1 Let v(g) = -g**3 + g**2 + g - 1. Let a(c) = c**3 - 3*c**2 + 5*c + 2. What is a(q) + 3*v(q)? -2*q**3 + 8*q - 1 Let p = 11 - 8. Suppose 0*v = -p*v + 27. Let u be v - 1 - (-14)/(-7). Let h(m) = 7*m**2 + m + 4. Let s(x) = x**2 + 1. Determine u*s(r) - h(r). -r**2 - r + 2 Let m(c) = 13*c + 5. Let d(h) = 12*h + 6. Determine -4*d(q) + 5*m(q). 17*q + 1 Let m(z) = 2*z**3 - 3*z**2 - 2*z - 3. Let s(c) = 2*c**3 - 4*c**2 - c - 4. Determine -4*m(f) + 3*s(f). -2*f**3 + 5*f Let f(d) = -8*d**2 - 2*d + 5. Let o(b) = -9*b**2 - 2*b + 6. Calculate 4*f(n) - 3*o(n). -5*n**2 - 2*n + 2 Let k(c) = -3*c**2 + 5*c. Let a(r) = -2*r**2 + 4*r + 1 - 1. Calculate 5*a(f) - 4*k(f). 2*f**2 Suppose 0 = 2*h - 8, 5*h = -3*w + w + 28. Let c(u) = 2*u**2 + 1. Let x(z) = -5*z**2 - 3. What is w*x(b) + 11*c(b)? 2*b**2 - 1 Let k(o) = -o**2 - o - 1. Let a(z) = z**2 + 3*z - 20. Calculate -a(s) - 3*k(s). 2*s**2 + 23 Let k(u) = -u**2 + 3. Let p(l) be the first derivative of l - 2 - 1/2*l**2. Give k(w) - 2*p(w). -w**2 + 2*w + 1 Suppose -2*t = -3*t - x, 3*t - 2*x + 10 = 0. Let g(h) = 5*h - 1. Let z(d) = d. Give t*g(i) + 9*z(i). -i + 2 Let p(w) = 59*w. Let t(x) = -324*x. What is 27*p(f) + 5*t(f)? -27*f Let r(y) be the first derivative of y**2/2 - 4*y - 1. Let t(z) be the third derivative of z**4/24 - 7*z**3/6 - 8*z**2. Calculate -5*r(f) + 3*t(f). -2*f - 1 Let h(s) = s + 3. Let p(a) = -a**3 - 2*a**2 + 0*a + 4*a**2 - 4 - a + 2*a**2. Let u be p(3). Let b(i) = -5 - u*i - 4*i + 2*i + 3*i. Determine 3*b(q) + 5*h(q). 2*q Let m(c) = 4*c**3 + 3*c**2 - 3. Let f(n) = -6*n**3 - 5*n**2 + 5. Let p be (-35)/(-7) - (-1 - -1). Give p*f(y) + 8*m(y). 2*y**3 - y**2 + 1 Let a(z) = -21*z**3 + 6*z**2 + 16*z. Let u = 19 + -21. Let p(m) = 4*m**3 - m
{ "pile_set_name": "DM Mathematics" }
i is positive. i**32 Simplify ((n**39)**(-1/11))**(1/42) assuming n is positive. n**(-13/154) Simplify d**0/d**17*(d*d*d*d*(d/d**(-3/7))/d)/d*d**5*d assuming d is positive. d**(-53/7) Simplify (c/c**15*c/(c/(c**(-1/12)/c)))/(c/c**(-10)*c*c*c**11*c*c*c) assuming c is positive. c**(-505/12) Simplify ((d**(1/3)*d**3/d)/(d**(2/5)*d)**(-13))**(-23) assuming d is positive. d**(-7084/15) Simplify (i**(-31)*i/i**(-4/3))**49 assuming i is positive. i**(-4214/3) Simplify ((g*g*g**(4/3)*g)**39)**6 assuming g is positive. g**1014 Simplify (b*b*b/(b/(b**(3/11)/b)*b)*b**(4/7)*b*b*b)/((b*b**(-1/15))/(b/b**(-1/4))) assuming b is positive. b**(19223/4620) Simplify (h*h*h**(-5))**(20/3)/(h**(-9)*h**(6/7)) assuming h is positive. h**(-83/7) Simplify ((h**8/(h/h**(-1/2)))/(h**0)**(-2/33))**43 assuming h is positive. h**(559/2) Simplify (f**27/f)**(-25)/(f*f**31*f*f**24) assuming f is positive. f**(-707) Simplify (f/((f*f*f**1*f)/f)*f*f*(f*f**2)/f)/((f**(-8)*f)/(f*f**19)) assuming f is positive. f**29 Simplify ((d*(d/d**(-7/6)*d)/d*d*d)/d**(-3/29))/(d/(d*d/(d*d/(d*d/d**(-8)*d*d))*d)*d)**4 assuming d is positive. d**(8573/174) Simplify (a*a**(-23))/a*a**11*(a*(a**8/a)/a)/(a/(a*a**(-7))*a) assuming a is positive. a**(-13) Simplify (v**(-4/11)/v**8)/(v/(v**(1/3)*v*v)*v**(-1/2)) assuming v is positive. v**(-431/66) Simplify (q/(q*q*q/(q**(-19/3)/q)*q*q)*q*q**3/q)/(q**32*q*q*q**12) assuming q is positive. q**(-163/3) Simplify (b**(1/11)/b**7)/(b**(-7/2)/(b/b**(-11))) assuming b is positive. b**(189/22) Simplify (((((k/(k**(-4/7)*k))/k)/k)/k)/k**(9/2))**(6/7) assuming k is positive. k**(-291/49) Simplify ((x/x**(-2/23))/x**(-1/20))/(x/(x/(x**(-3/5)/x)))**(-14) assuming x is positive. x**(-9781/460) Simplify ((v**(-6/11))**6)**17 assuming v is positive. v**(-612/11) Simplify ((m*m*m**0*m)**(-42)/(((m**(-2/11)/m)/m)/m*m**(-1)))**(1/24) assuming m is positive. m**(-335/66) Simplify ((z**(-5)/(z*z**6))/((z/z**(-1/4))/(z**(-2/5)/z)))**(-40) assuming z is positive. z**586 Simplify ((r*r**14)/r*r*r/(r*r*r**(2/7)*r))/((r/(r**(3/4)/r))/r**9) assuming r is positive. r**(573/28) Simplify (((l/(l*l*l*l/(l/(l**(9/7)*l))*l*l))/l)/l**17)**(-2/69) assuming l is positive. l**(340/483) Simplify ((d**0)**(-31)*d**3/(d/d**(1/3)))**(1/16) assuming d is positive. d**(7/48) Simplify (f**5*f*f**18)/(f**(-2/23)*f*f/(f*f**(-21))) assuming f is positive. f**(48/23) Simplify ((m**(-3/7))**(-2/19))**(-3/7) assuming m is positive. m**(-18/931) Simplify (s*s**5)**(-2/91)/(s**(-2/9)/(s**(4/15)*s)) assuming s is positive. s**(5557/4095) Simplify (a**(-9/7)*a*a**8)**4 assuming a is positive. a**(216/7) Simplify (o**3)**(-22)*(o**(-4/5))**(3/28) assuming o is positive. o**(-2313/35) Simplify (d*d*((d**(-2/25)/d*d)/d)/d)/(d*d**(-12)/d)*d*d/d**0*d*d**(-7)/d assuming d is positive. d**(173/25) Simplify ((j*(((j**(11/2)/j*j)/j)/j*j)/j*j)/j**0)/(j**(-2/3)/j)**(5/3) assuming j is positive. j**(149/18) Simplify ((w/(w*w**3)*w**(-4))**(12/5))**(3/2) assuming w is positive. w**(-126/5) Simplify ((m**(-1/15)*m**8)/(m**5*m**(7/3)))**8 assuming m is positive. m**(24/5) Simplify b*(b*(b/(b**(-4)/b))/b)/b*b**1*(b/b**7)/b**4 assuming b is positive. b**(-3) Simplify (c/((c**(-3/13)/c)/c))**(-3/16)*(c*c**11)**18 assuming c is positive. c**(22401/104) Simplify (v**(-7)*v*v*v**(-3/7))/(v**(-2))**(-6) assuming v is positive. v**(-122/7) Simplify ((((v/v**(1/5))/v)/v)/v**(-3)*v**(-5)/(v**(-2/5)/v))**8 assuming v is positive. v**(-72/5) Simplify ((a**(-2/9)*a**2)**(-5/12))**(-32) assuming a is positive. a**(640/27) Simplify (a**(8/7)*a/(a*a**(4/11)*a))/(a**1)**48 assuming a is positive. a**(-3713/77) Simplify h**2*h**(-6)/h*h**(-10)*h*h**(2/7)*h assuming h is positive. h**(-89/7) Simplify ((a**(-2/5))**(-17/5)*a**(2/7)/a*a/(a/(a/a**8))*a)**27 assuming a is positive. a**(-25299/175) Simplify (((x/x**(-17))/x)/((x/x**(-20/7))/x))**16 assuming x is positive. x**(1584/7) Simplify (k*k**(4/3))/k*k*k**3/k*(k/(k/k**(-4/5)))/(k/(k/(k*k*k**(-2)*k*k)*k)) assuming k is positive. k**(38/15) Simplify ((f**(-25/3)*f*f/f**(7/6)*f*f)**10)**(-20) assuming f is positive. f**1100 Simplify (l**(-2))**(-1/60)/((l**(-2/5)*l)/((l*l**(1/5)/l*l)/l*l)) assuming l is positive. l**(19/30) Simplify (l*(l/(((((l**2/l)/l)/l)/l)/l))/l*l)/l*l**(4/13)*l**(3/11)/l**(1/20) assuming l is positive. l**(12957/2860) Simplify ((f/f**(-7))/f)**28*f*f*f**(1/3)*f**(8/7) assuming f is positive. f**(4189/21) Simplify u**(5/3)/u**(1/13)*u/(u**3/u*u)*u**(-4) assuming u is positive. u**(-172/39) Simplify (t**0/t)**6/(t**(15/4)*t*t**(9/2)) assuming t is positive. t**(-61/4) Simplify (n**(-33)*n/n**28)/(((n*n/(n**32*n))/n)/n*n*n*n**(3/5)) assuming n is positive. n**(-148/5) Simplify p**(-12/11)/p*p*p*p**(-25)*p*p/((p**8*p)/p*p)*p*p/p**(-20) assuming p is positive. p**(-111/11) Simplify j**(6/5)/j**(4/3)*(j**(1/5))**(-48) assuming j is positive. j**(-146/15) Simplify ((i/(i**(-2)*i*i))**(-14)*i/(i**(3/7)*i)*i*i/i**(4/7))**(-7/9) assuming i is positive. i**(91/9) Simplify ((s**(2/21)/s*s)/s*s)**(1/3)/(((s*((s**19/s)/s)/s)/s)/(s**(-14)*s)) assuming s is positive. s**(-1825/63) Simplify (m*(m/(m*(m*m/((m*m*(((m**(2/29)*m*m)/m)/m)/m*m)/m))/m))/m*m)/m*m**(-20)*(m/m**(-5))/(m*m/(m*(m/m**(-1/5))/m)) assuming m is positive. m**(-2136/145) Simplify ((x/x**(-1))/(x/(x*x/x**0)))/(x**10/x**6) assuming x is positive. 1/x Simplify (b**2/(b/(b/b**(-5/8))))/(b**(-2/51)/((b/((b*(b/(b*b/(b/(b/(b**(2/21)*b)))))/b)/b))/b)) assuming b is positive. b**(10193/2856) Simplify s*s**(-2/45)*s/((s*s/(s*s*s**(-3)/s*s))/s)*(s**(-2))**(-38) assuming s is positive. s**(3418/45) Simplify (r**(-2/3)*r)/r**(-11)*(r**(1/2))**17 assuming r is positive. r**(119/6) Simplify ((g**1)**(-2/11)/(g*g/g**2*g)**44)**(25/3) assuming g is positive. g**(-4050/11) Simplify x/x**(-10)*(x/((x**8/x*x)/x)*x)/x*(x/(x*x**14*x)*x)/(x*x**(-10/9)) assuming x is positive. x**(-80/9) Simplify (((t/(t*(t*t**15/t)/t*t*t))**(-1/2))**24)**37 assuming t is positive. t**7104 Simplify ((c**(-3)/c)/c*c)**(-12)*((c/(c/(c**3/c)))/c)/c**(-10) assuming c is positive. c**59 Simplify (x**(-3/7)*x**(6/7))/(x**(1/4))**29 assuming x is positive. x**(-191/28) Simplify (v**(1/10)*v/(v**23/v)*v)/(v/(v/(v/v**(-7)))*v*(v*v**14)/v) assuming v is positive. v**(-429/10) Simplify (t/(t**6*t)*t*t)**(-5)/(t**(2/9)*t)**(-42) assuming t is positive. t**(214/3) Simplify ((f*f**2/f)**(-1/26)/((f*f**(2/11)*f)/f**(-4/7)))**19 assuming f is positive. f**(-53827/1001) Simplify (l/l**10)/l**28*(l/l**5)**(-2/9) assuming l is positive. l**(-325/9) Simplify (w**(-10)/w*w**15)/((w/(w**(2/3)*w))/(w/w**10)) assuming w is positive. w**(-13/3) Simplify m**(-1/3)*m*m**8*(m**(3/7)/m)/(m/(m/((m*m**(7/5))/m))) assuming m is positive. m**(703/105) Simplify ((y/(y**(-22)*y))**(-10/3))**(-29/5) assuming y is positive. y**(1276/3) Simplify x**(-2/19)*x/(x/x**(-2/61))*(x/((x*x/(x*x*x/x**5))/x))/x*x/(x/(x*x**(-19)*x))*x assuming x is positive. x**(-22181/1159) Simplify (i**(2/17))**(-8/5)*i**(3/14)*(i/i**(-1/3))/i*i*i assuming i is positive. i**(8423/3570) Simplify (v*v**(3/8))**(2/19)*(v**(4/11))**(-1/3) assuming v is positive. v**(59/2508) Simplify g**2*g/g**6*g/g**(-3/5)*(g*(g*g/(g**(-3)/g))/g*g)/g assuming g is positive. g**(23/5) Simplify (r**(-6/11))**(-36)/((r/r**8)/r**(-6)) assuming r is positive. r**(227/11) Simplify ((l*l**(2/9)*l*l*l**(1/6))/(l/l**(2/3)*l/(l*l**4)))**(2/29) assuming l is positive. l**(127/261) Simplify ((x*x**(-1/27))/(x*x**(4/5)))/(x**(2/11)*x/(x/(x*x**(-8)*x*x))) assuming x is positive. x**(5912/1485) Simplify ((l**(1/2))**(2/67)*l/(((l*(l**(-2/11)*l*l)/l)/l)/l)*l**(3/4))**26 assuming l is positive. l**(74607/1474) Simplify x**(-2/27)*x*x*x**(-9)*x*x**(-1/3)/(x*x*x/x**17*x) assuming x is positive. x**(178/27) Simplify ((s/(s*s*s/(s/(s*(s*s**(-1/2))/s*s*s*s))*s))/s*s**(-2))/(s/(s*s*s*((s*s**(-11)*s)/s)/s*s)*s*s**4*s) assuming s is positive. s**(-45/2) Simplify ((p**(1/12)/p*p**3)/((p/(p**(-6)*p)*p)/((p/(p**(-5/6)/p)*p)/p)))**23 assuming p is positive. p**(-575/12) Simplify (q**(-7)*q)/(q*((q**(-19)/q)/q)/q)*(q**6)**(1/20) assuming q is positive. q**(153/10) Simplify y**(-31)*y**3*(y**(-4/11))**17 assuming y is positive. y**(-376/11) Simplify (q**1)**(-1/2)*q**(-5)*q**(-2/7)/q assuming q is positive. q**(-95/14) Simplify (c*c**6*c*c)**(-1/31)*c**20*c*c**(1/2
{ "pile_set_name": "DM Mathematics" }
b of sequence cip when three letters picked without replacement from kppfikkkpktckffikk? 1/816 What is prob of sequence lx when two letters picked without replacement from hxwwqlw? 1/42 What is prob of sequence kkk when three letters picked without replacement from ookkkok? 4/35 Calculate prob of sequence xfz when three letters picked without replacement from {p: 3, f: 3, t: 6, x: 1, z: 1}. 1/728 Two letters picked without replacement from hhhnn. What is prob of sequence hh? 3/10 Two letters picked without replacement from {o: 1, q: 3}. What is prob of sequence oq? 1/4 Calculate prob of sequence uk when two letters picked without replacement from {u: 6, p: 8, w: 1, z: 1, k: 1}. 3/136 Two letters picked without replacement from jlyyyceccczclyccyzcy. Give prob of sequence yy. 3/38 Four letters picked without replacement from {y: 2, t: 1, m: 2, c: 1, v: 1}. Give prob of sequence mcyv. 1/210 Three letters picked without replacement from {v: 12, m: 3}. Give prob of sequence mvv. 66/455 Four letters picked without replacement from {d: 3, k: 3, t: 2, i: 1, v: 2, x: 1}. What is prob of sequence ddtk? 1/330 Calculate prob of sequence db when two letters picked without replacement from lddbdmlbzl. 1/15 Two letters picked without replacement from {i: 1, d: 1, w: 1, n: 1, z: 5}. What is prob of sequence iw? 1/72 What is prob of sequence rr when two letters picked without replacement from {r: 10}? 1 Two letters picked without replacement from {p: 5, b: 5}. What is prob of sequence pb? 5/18 Calculate prob of sequence rr when two letters picked without replacement from krrrkrrkkk. 2/9 Three letters picked without replacement from {i: 1, f: 1, r: 1}. Give prob of sequence fir. 1/6 What is prob of sequence hhew when four letters picked without replacement from gbxhgewwgweg? 0 What is prob of sequence udd when three letters picked without replacement from kkuhhkhdhuhhd? 1/429 Four letters picked without replacement from qqqqmmqqqmqmqmqqqq. Give prob of sequence qmqm. 13/306 Two letters picked without replacement from yyziyrrzzrisisrzssz. Give prob of sequence ys. 2/57 Two letters picked without replacement from {s: 8, b: 6, m: 1}. What is prob of sequence mb? 1/35 What is prob of sequence rr when two letters picked without replacement from yiiyriidyyyvyiiyr? 1/136 Calculate prob of sequence tht when three letters picked without replacement from ttht. 1/4 What is prob of sequence no when two letters picked without replacement from nollllnolnnlllonnnl? 7/114 What is prob of sequence kx when two letters picked without replacement from kcxxjkjxuccgkjxcxj? 5/102 What is prob of sequence pmcc when four letters picked without replacement from {m: 3, i: 2, p: 1, c: 3, w: 2, q: 1}? 1/660 Calculate prob of sequence oy when two letters picked without replacement from {y: 1, o: 2}. 1/3 What is prob of sequence mm when two letters picked without replacement from mmmssmmmsmsmmmmmmsm? 91/171 Four letters picked without replacement from eflullelleze. Give prob of sequence eele. 1/99 Three letters picked without replacement from {a: 2, i: 1, m: 7}. Give prob of sequence aim. 7/360 Four letters picked without replacement from yysssyysysssssyssss. Give prob of sequence yysy. 65/3876 What is prob of sequence lla when three letters picked without replacement from {a: 7, v: 1, l: 12}? 77/570 Two letters picked without replacement from hhvngennn. What is prob of sequence ev? 1/72 Two letters picked without replacement from {h: 4, x: 1, g: 5, w: 1, n: 1, r: 1}. Give prob of sequence ww. 0 Two letters picked without replacement from {q: 1, c: 1, v: 1, i: 1, h: 3}. Give prob of sequence vq. 1/42 What is prob of sequence eee when three letters picked without replacement from epee? 1/4 Two letters picked without replacement from tteetewtewtttkt. What is prob of sequence ke? 2/105 Two letters picked without replacement from oypwrywwopoo. Give prob of sequence yo. 2/33 Two letters picked without replacement from {o: 2, z: 1, s: 1, i: 1, v: 1, k: 2}. What is prob of sequence oo? 1/28 Two letters picked without replacement from {t: 1, e: 1, r: 4, b: 4}. Give prob of sequence te. 1/90 Two letters picked without replacement from {x: 1, r: 5, m: 3, w: 1}. Give prob of sequence wx. 1/90 What is prob of sequence pcnf when four letters picked without replacement from uupucpcnfpfp? 2/1485 Calculate prob of sequence uu when two letters picked without replacement from {u: 3, e: 4, z: 4}. 3/55 What is prob of sequence goo when three letters picked without replacement from {o: 4, k: 2, w: 7, n: 2, g: 3}? 1/136 What is prob of sequence bkkb when four letters picked without replacement from bbkkb? 1/10 Three letters picked without replacement from {w: 3, r: 12}. Give prob of sequence rrw. 66/455 Four letters picked without replacement from {h: 3, m: 2, t: 4, r: 1, a: 2, p: 2}. What is prob of sequence ptam? 4/3003 Calculate prob of sequence yz when two letters picked without replacement from gygwzzwgzzzzg. 1/26 Calculate prob of sequence yw when two letters picked without replacement from ywyyyyyywyyw. 9/44 Three letters picked without replacement from {v: 4, z: 7, l: 2}. Give prob of sequence vzz. 14/143 Four letters picked without replacement from {z: 17, f: 2}. Give prob of sequence zfzz. 5/57 Calculate prob of sequence hhna when four letters picked without replacement from {h: 7, a: 1, n: 12}. 7/1615 What is prob of sequence vvh when three letters picked without replacement from {h: 14, v: 5}? 140/2907 Four letters picked without replacement from hoihooiiohhhihhh. What is prob of sequence iooh? 4/455 Three letters picked without replacement from {c: 1, j: 4, w: 2}. What is prob of sequence jjj? 4/35 Calculate prob of sequence oog when three letters picked without replacement from {s: 1, o: 2, c: 1, g: 2, m: 1}. 2/105 Calculate prob of sequence sj when two letters picked without replacement from {t: 9, l: 6, c: 2, j: 1, s: 1, h: 1}. 1/380 Two letters picked without replacement from ppplll. What is prob of sequence lp? 3/10 Three letters picked without replacement from {i: 8, l: 4, m: 4}. Give prob of sequence iii. 1/10 Two letters picked without replacement from afga. Give prob of sequence ga. 1/6 Four letters picked without replacement from nnnnsnsnnwsws. What is prob of sequence nsns? 21/715 What is prob of sequence zrvr when four letters picked without replacement from {k: 1, v: 1, z: 1, r: 2}? 1/60 Two letters picked without replacement from {o: 1, q: 4, l: 8, f: 1, h: 1}. Give prob of sequence qf. 2/105 Four letters picked without replacement from ynlcipppnncn. What is prob of sequence clcy? 1/5940 Calculate prob of sequence bj when two letters picked without replacement from {u: 1, h: 1, j: 2, b: 1}. 1/10 What is prob of sequence wt when two letters picked without replacement from ddwddrwdrrthddrr? 1/120 Two letters picked without replacement from {s: 2, w: 1, z: 2}. What is prob of sequence ws? 1/10 Calculate prob of sequence rr when two letters picked without replacement from rrririrrri. 7/15 Calculate prob of sequence llbb when four letters picked without replacement from {l: 4, b: 3}. 3/35 What is prob of sequence rqhh when four letters picked without replacement from {r: 1, q: 5, h: 5}? 5/396 Calculate prob of sequence tafl when four letters picked without replacement from {u: 3, o: 4, t: 2, f: 3, a: 2, l: 2}. 1/1820 What is prob of sequence vaaf when four letters picked without replacement from fafaafvff? 5/504 What is prob of sequence ap when two letters picked without replacement from {a: 1, k: 1, m: 1, p: 2, b: 1, h: 1}? 1/21 Calculate prob of sequence gye when three letters picked without replacement from gevmymm. 1/210 Four letters picked without replacement from {r: 10, b: 1, d: 2, y: 1, l: 2}. What is prob of sequence lddy? 1/10920 What is prob of sequence gg when two letters picked without replacement from {g: 14, n: 5}? 91/171 Four letters picked without replacement from {l: 15, e: 4}. What is prob of sequence eele? 5/1292 What is prob of sequence aq when two letters picked without replacement from {q: 6, p: 7, a: 1}? 3/91 Three letters picked without replacement from ooxxxxxoxoxoo. What is prob of sequence oox? 35/286 Four letters picked without replacement from jjvjvppcvpvvv
{ "pile_set_name": "DM Mathematics" }
is the closest to 0 in t, -29, 0.3, 0? 0 Let l be ((-3058)/132 - -23)*-2. Which is the nearest to l? (a) -13.5 (b) -7 (c) -2/3 (d) 0.1 d Let q be (-5 - -4)*0/(-3) + -18. Let d be 6*(42/q + 3). Which is the nearest to -4? (a) 1 (b) d (c) -0.4 c Let j be (4/50)/(7/((-315)/(-9))). What is the nearest to 2/3 in j, 0.5, 4/9, -1? 0.5 Let t be 8/6 - 2/6. Let m = 404.09 - 406. Let a = m + 1.9. What is the nearest to -2 in 4/5, a, t? a Let n = -1061 - -1973. Let v be (-324)/n + (-1)/(-4). Which is the nearest to -3/10? (a) 2 (b) -2/9 (c) v b Let r = -9248/735735 + 2/4459. Let x = r - -364/2805. Which is the nearest to -1? (a) x (b) 0.4 (c) 0 (d) 2 c Let t = 6.536 - 0.036. Let g = -44.5 - t. Let r = 50.97 + g. What is the closest to 0.1 in r, 0, -1? 0 Let k = -0.054 + -0.198. Let z = 0.052 + k. Let j = 163/28 + -21/4. Which is the closest to z? (a) -0.3 (b) 0.3 (c) j a Let f be 8201/1668 - 21/4. Let n = 769 - 48449/63. Which is the nearest to -0.2? (a) f (b) 0 (c) 0.1 (d) n a Let k = -0.12316 + -0.09684. Which is the nearest to -14? (a) -0.4 (b) k (c) 2 a Let z = 20 - 22. Suppose -3*h = 5*u + 4, 0 = -5*u - 1 + 21. Which is the nearest to z? (a) -0.2 (b) 1 (c) h a Let t be 0*(-3)/9*1/2. Let p = t + 1. Which is the closest to p? (a) -0.1 (b) 0.4 (c) 2/9 b Let k = 23436.44 - 23437.44. Let u = 0.7 - -0.3. Let d = -6/29 + 19/232. Which is the nearest to u? (a) k (b) d (c) -1/14 c Let v be 5*(-1)/25 - (-11589)/32825. Let q = v - -2/2525. What is the closest to 1/5 in -0.3, q, -4/9? q Let r = -3816 + 3812. What is the nearest to 0.1 in -5, 0.12, 2/3, r? 0.12 Let j = 0.08 + -0.38. Let l = 59345 + -59344.5. What is the closest to j in 2/11, -0.3, l? -0.3 Let k = 10.35 + -9.4. Let y = k - -3.05. What is the nearest to -3/4 in -3/7, -1, y? -1 Let z = -17826 + 17893. What is the closest to z in -4/5, -1, 1/3, 1? 1 Suppose 0 = -21*d + 20*d + 5*t - 8, 2*t + 28 = -2*d. Which is the nearest to 25? (a) -1 (b) d (c) -7 a Let d = -41.6 - -37. Let j = d - -4.6. Which is the closest to j? (a) -5 (b) -4 (c) 8 b Let s = 3913 + -3920. Suppose -80 = -54*i + 52*i. Which is the nearest to i? (a) 0.5 (b) s (c) 2/3 c Let o = 14.009 + -11.009. Which is the closest to 0.5? (a) -57 (b) o (c) 2/9 c Let k = -0.741 + 21.741. Let s = 0.7 + 1.3. Which is the closest to -1? (a) s (b) k (c) 0.1 (d) -0.2 d Let y = 3699.02 + -3699. Which is the closest to -0.5? (a) 0 (b) y (c) 1 a Let o(w) = -w**2 + 16*w - 28. Let h be o(8). Let t be 5*(-2)/h*56/(-70). Which is the nearest to 0? (a) -6 (b) -1/4 (c) t (d) -2/5 c Let b be (4/(-3) - -2) + 0. Let y = -94.66 + 94.46. What is the nearest to b in -2, 1/6, y? 1/6 Let i = -2 - -1.5. Let f = -48 - -30. Let w = 20 + f. What is the nearest to 2 in w, i, 0.06? w Let j = 2363/3140 + -2/785. Let c = -0.32 - -0.02. Let q = -4.12 + 0.12. What is the nearest to 1.8 in j, c, q? j Let r = 69992 - 629926/9. Let q = -0.4 + 0.6. Which is the closest to q? (a) 4 (b) -2/3 (c) 5/6 (d) r d Let r = 8638 + -8639. What is the nearest to -1.4 in -5, r, 5, 0.06? r Let t = 9.8 - 10.6. Let m be 39/(-26)*(20/(-3))/(-2). What is the closest to m in 2/15, 2/3, t? t Let y = 25.68 - 15.25. Let t = y - 0.43. Let o = t + -8. What is the nearest to o in 0.1, -2/7, -0.2? 0.1 Let l be 4/22 + 1*(-26)/22. Let i = -0.88 - 0.02. Let y = i - -0.7. What is the nearest to 0 in y, l, -0.4? y Let u(g) = g**2 - 28*g - 208. Let r be u(-6). Which is the closest to -1? (a) -3/5 (b) r (c) 4 (d) 32 a Let t = 365.3 - 366.3. Let q(k) = k - 2. Let m = -11 - -18. Let x be q(m). Which is the nearest to -2? (a) x (b) -0.2 (c) t c Let p = 104.67 + -103.67. Let x = -11 + 0. Let y = x + 6. Which is the closest to 1? (a) y (b) p (c) 3 b Let k = -55/3 - -19. Let y = -69624/2005 + -30/401. Let a = -176/5 - y. What is the nearest to 0 in -1, a, k? a Let g be (((-512)/(-24))/8)/((-18)/27). What is the nearest to -113 in -1, -0.5, g, 0.2? g Let t = 135 + -97. Let o = 45 - t. Let w = -8 + o. What is the closest to w in 0, -5, 0.15? 0 Let v = 9124.8 - 9125. What is the closest to v in 4, 5, 0.2, 0.03? 0.03 Let j(l) = -l**2 - 241*l - 3392. Let r be j(-15). Which is the nearest to 2/7? (a) -1 (b) r (c) -3 (d) -1.099 a Let b be (5 - (-30)/(-4)) + 1. Let d = -1354 - -1364. What is the nearest to -0.02 in 2/3, b, 1, d? 2/3 Suppose -4*y + 4*z = 52, 3*y + 3*z - 115 = -106. What is the closest to 1/3 in -0.08, 1, y, -3? -0.08 Let i = -4.1 - -81.1. Let k = i + -65. Let x = 15 - k. What is the nearest to x in -3, 1, 0.2? 1 Let l = -5202 - -57176/11. Let w = -208/55 - l. What is the nearest to -4 in -3/5, -1/2, w? -3/5 Suppose 5*p - 4*w = 955 - 890, 3*p - w - 46 = 0. What is the closest to 4 in p, -3/10, -0.4? -3/10 Let y be (-1 - -3)/(15 - 2). Let u be 0 + (1/3 - 0). Let p = 35239 - 35234. Which is the closest to u? (a) 1 (b) y (c) p b Suppose r - 2*q - 88 = 42, -5*r + 4*q + 650 = 0. Let f be (-6)/r + 6/(-39). Let z = -18 + 21. What is the nearest to -2/13 in 0, f, z? f Let k = 0.1 + 0.9. Let m be 12 + (-13)/((-1092)/(-1029)). Which is the nearest to 2/9? (a) -4 (b) k (c) m (d) -1/10 d Let s(m) = 28*m**2 - 396*m + 397. Let n be s(1). What is the nearest to 0.1 in n, -1/6, 0.5? -1/6 Let d(v) = -35*v - 42. Let k be d(-9). Let p = k + -281. Which is the nearest to -11? (a) p (b) -5 (c) -2/11 a Let z = 1319 - 3958/3. What is the closest to 0.29 in 1, -6, z, 2? z Let k be (366/5)/(-6 + 19/5). Let q = k - -17180/517. What is the nearest to 1 in -5, q, 0.2? 0.2 Let p = -3042.4 + 3042.5. Suppose 5 = 3*k - 1. Suppose -k*w - 4*f = 2, 3*f - 5 = -5*w - 24. What is the nearest to p in 0, 2, w? 0 Suppose -5*m - i = -2*i - 17, 4*i - 16 = -m. Let f = 1.1645 - 1.1045. Which is the nearest to 0.2? (a) 1/2 (b) f (c) -4 (d) m b Let l be (1 - 106/(-34)) + 136/(-1156). Let u = 0.8 + -1. What is the closest to u in l, 11, 0.2? 0.2 Suppose 405*o - 414*o - 18 = 0. What is the nearest to 1/3 in 0.5, -325, o, 5? 0.5 Let g = -134 + 134.15. Let i = -0.55 + g. Which is the nearest to -1? (a) i (b) 5 (c) 1 a Let i be 5/26*(-2 - (-5315)/975). Let p = 1/338 + i. What is the closest to 1 in -0.4, p, -25? p Let i be 4*(-13)/(-104) + ((-145)/4)/(-5). What is the nearest to 0 in 1/5, -0.3, i, 2/25? 2/25 Suppose 19 = -2*m - 1. Let d = m + 14. Let c = 0.2316 - 0.3316. What is the closest to c in 0.3, 3, d? 0.3 Let j = 10.2 + -6.6. Let q = j + -3.42. Let d = -0.08 + q. What is the nearest to -0.1 in -1, d, 5? d Let x be (-3 - 12/(-8))*(-44)/(-33). What is the nearest to -2/5 in -0.25, -20, 0.5, x? -0.25 Let r = 0.26 - 6.06. Let z = r + 10.6. Let v = z - 5.2. Which is the closest to -1? (a) v (b) 2/5 (c) -5 a Let h = -5.353 - -3.353. What is the closest to h in -3, 2, 1/10, 0? -3 Let h = 297.1 + -302.1. Which is the closest to 51? (a) -4 (b) -0.05 (c) h b Let o = 12035.3 - 12035. Which is the closest to 17? (a) o (b) 5/4 (c) -3/4 b Let c be ((-36)/(-48))/(3/(-36)). Let b be (-2)/c - (-1 + 48/(-27)). What is the nearest to 0.1 in 0.3, b, -31? 0.3 Let w(h) = -3*h + 1. Let u be w(2). Suppose 0 = 2*q - q + 5*c + 8, -2*c + 4 = 4*q. Let m = -109 + 109.3. What is the nearest to -2 in q, m, u? m Let q = 21912 + -21916. Suppose 3*o = 3*h + 6, -2*o + 7*o - 17 = -2*h. What is the nearest to 0 in h, 6/5, q? h Let f = -3 + 1. Let h be 8/(-21)*(332/(-232) + 22/(-319)). What is the nearest to f in h, 4, 2/9? 2/9 Suppose 82*n = 75*n - 70. Let j be n/(-18)*(-39)/26. Which is the closest to -0.2? (a) j (b) -3/5 (c) 1 b Let l = -55.54 + 55.04. Which is the nearest to 1/56? (a) 0.5 (b) 1/9 (c) l b Let w = -313 + 82. Let t = w - -256.7. Let a = -26 + t. What is the closest to -1 in 1, a, -3/4? -3/4 Let d = -0.34623 - -0.41623. What is the nearest to d in -3, 0.3, -27, -0.05? -0.05 Let l = 3.2 + -3. Let r = -10.8 - 59. Let f = -69.77 - r. Which is the closest to -1/4? (a) 5 (b) l (c) f c Let x be (-40)/6*87/58. Let o be 6/(-33) + x/66. Let p = -0.09 + 0.09. What is the closest to p in 2, 1, o? o Suppose 3*h - 2*w + 1 = 0, -9 = 2*h - 4*w - 3. Let o be (0 + 8/(-42))*((-99)/18 + -17) - 4. Which is the closest to h? (a) o (b) -3 (c) -5/2 (d) -1 a Let i = -73.95 + 74.25. Which is the nearest to 0.02? (a) -15/4 (b) i (c) -2/7 b Let g = 8 - 3. Suppose 0 = g*l - l + 8. Suppose
{ "pile_set_name": "DM Mathematics" }
t h(z) be the third derivative of -z**5/40 - z**3 - 4*z**2. Let t(q) be the first derivative of h(q). Calculate r(t(a)). 12*a Let d(m) = 29*m**2 + 17*m + 17. Let c(b) = 10*b**2 + 6*b + 6. Let t(l) = -17*c(l) + 6*d(l). Let j(u) = 6*u**2. Determine t(j(q)). 144*q**4 Let m(y) = -5*y - y**2 + 5*y + 0*y**2. Let c = 17 + -15. Let j(o) = 5*o + o - c*o. Calculate m(j(i)). -16*i**2 Let h(u) be the first derivative of 3*u**2/2 - 1. Let j be (0 + 1)/((-6)/(-42)). Let x(f) = -7 + j - f. Calculate h(x(l)). -3*l Let k(g) = 2*g. Suppose -9*c - 8*c + 51 = 0. Let d(o) be the third derivative of 0*o**c + 0*o + 0*o**4 + 0 - 7/60*o**5 + 2*o**2. What is k(d(q))? -14*q**2 Let w(g) = g. Let l(p) = -7201*p**2 + 3*p. What is l(w(q))? -7201*q**2 + 3*q Let s(p) = 10*p - 19. Let g(u) = 2*u**2 + 24*u. Determine s(g(a)). 20*a**2 + 240*a - 19 Let n(i) = -6159*i**2. Let q(u) = 14*u. What is n(q(b))? -1207164*b**2 Let p(d) = 4*d**2. Let m(z) = 5*z**2 + z - 1. Let f(o) = 94*o**2 + 12*o - 12. Let l(k) = f(k) - 12*m(k). Give p(l(r)). 4624*r**4 Let j(z) = 28*z**2. Let i(v) = 136205*v**2. What is i(j(p))? 106784720*p**4 Let m(k) be the third derivative of -k**4/8 - k**2. Suppose -f + 37 = 2*r + 2*f, 0 = 4*r + 4*f - 80. Let o(q) = 12 + 11 + q - r. Determine o(m(v)). -3*v Let k(g) = -10*g**2 - 3. Suppose 15*l - 14*l = 6. Let w(p) = l - 6 + 5*p - 4*p. Give w(k(f)). -10*f**2 - 3 Let g(b) = -900*b. Let m(w) = 2*w + 315. Determine g(m(y)). -1800*y - 283500 Let u(c) = 22*c**2 + 3. Let n(q) = -q + 2. What is u(n(m))? 22*m**2 - 88*m + 91 Let x(d) = 2*d + 78 + 75 - 153. Let r(k) = k**2 - 2. Let s(l) = l**2 - 1. Let q(v) = r(v) - 2*s(v). Give x(q(z)). -2*z**2 Let y(b) = 1672*b + 5*b**2 + b**2 - 1672*b. Suppose -23 = -5*f + 4*p, -2*p = -4*f + 2*p + 20. Let t(v) = -2*v + f*v - 3*v. What is t(y(k))? -12*k**2 Let z(k) = -26*k + 6. Let i(s) = -30*s + 7. Let x(b) = -6*i(b) + 7*z(b). Let u(o) = 2*o**2 - 9*o. Determine x(u(y)). -4*y**2 + 18*y Let k(c) = -402*c**2 - 5. Let a(i) = 6*i**2. Determine a(k(w)). 969624*w**4 + 24120*w**2 + 150 Let y(f) = 1. Suppose -20 = -5*h - 5*l, -5*l + 0 = -2*h + 22. Let s(z) = 5*z - 3. Let q(d) = h*y(d) + 2*s(d). Let p(b) = 2*b**2. Calculate p(q(n)). 200*n**2 Let w = 58 - 41. Let m(u) = -2*u + 10 - w + 7. Let o(i) = -2*i**2. Give m(o(v)). 4*v**2 Let l(j) = -3*j + 6. Let b(s) = -13*s**2 + 18. Let u(p) = -10*p**2 + 19*p**2 - 6*p**2 + 1 - 5. Let c(q) = 2*b(q) + 9*u(q). What is c(l(h))? 9*h**2 - 36*h + 36 Let h(p) = -3*p. Let z(q) = 3*q**2 - 3*q - 3. Let m(o) = 3*o**2 - 4*o - 4. Let l be (-8)/6*(1 + 2). Let a = 81 + -78. Let w(d) = a*m(d) + l*z(d). Give h(w(c)). 9*c**2 Let l(u) = 4*u + 32*u - 5*u + 648 - 648. Let a(c) = 0*c - 7*c + 6*c. Give a(l(b)). -31*b Let y(z) be the first derivative of -z**2 + 115. Let i(t) = 305*t**2. What is y(i(x))? -610*x**2 Let d(n) = 7*n**2. Let i(m) = 5 - 19 + 2*m - 3*m + 5 - 4. Calculate i(d(w)). -7*w**2 - 13 Let b(r) = -101465*r. Let p(t) = t**2. What is p(b(j))? 10295146225*j**2 Let x(b) = -23541*b - 2. Let s(w) = -22*w. Calculate x(s(i)). 517902*i - 2 Let f(b) = 4*b**2 - 6*b. Let l(g) = 7567*g**2 - 7560*g**2 + g - g. Determine f(l(m)). 196*m**4 - 42*m**2 Let k(v) be the second derivative of 37*v**3/6 - 4*v + 51. Let a(m) = -2*m. Calculate a(k(l)). -74*l Let x(l) = 58*l - 128. Let p(u) = 19*u - 40. Let j(v) = 16*p(v) - 5*x(v). Let k(n) = 16*n. What is k(j(g))? 224*g Let u(p) = -4*p + 6. Let m(g) = 5*g - 7. Let b = -8 + 15. Let n(x) = b*u(x) + 6*m(x). Let s(f) = -f**2 - 4*f**2 + 15*f**2 - 9*f**2 + 4*f**2. Calculate n(s(h)). 10*h**2 Let a(z) = -7*z. Suppose -8 = -r - t + 7, -2*r = -4*t. Let v(s) = 16*s**2 - r*s**2 - s**2 - 6*s**2. Calculate v(a(w)). -49*w**2 Let o(s) = 82*s**2. Let l(v) = -1113*v. Calculate l(o(d)). -91266*d**2 Let s be -3 - (-4 + 6/1). Let o(w) = -6*w**2 + 5*w. Let g(z) = z**2 - z. Let q(v) = s*g(v) - o(v). Let a(m) = 14*m**2. Determine q(a(b)). 196*b**4 Let z(b) be the first derivative of 89*b**2/2 - 39. Let x(h) = -h**2. What is x(z(d))? -7921*d**2 Let q(f) = -f. Let a(s) = -25*s + 20. Let z(m) = 8*m - 7. Let b(u) = -3*a(u) - 8*z(u). Calculate q(b(w)). -11*w + 4 Let u(k) = k. Let c(b) = -1. Let n(t) = -25*t + 25. Let p(m) = 26*m**2 + m. Let j be p(-1). Let o(a) = j*c(a) + n(a). Calculate o(u(i)). -25*i Let x(u) = -20*u**2. Let s(v) = 16*v**2 - 24*v**2 + 5 - 3 - 2. Calculate x(s(w)). -1280*w**4 Let z(u) = 44*u. Let o(i) = -15*i. Let g(d) = 17*o(d) + 6*z(d). Let a(k) = -2*k**2 + 1. Let l(f) = 1. Let t(c) = a(c) - l(c). What is g(t(w))? -18*w**2 Let u(k) = -9*k**2 - 28*k - 1. Let t be u(-3). Let b(o) be the third derivative of 1/2*o**4 - 2*o**t + 0*o + 0 + 0*o**3. Let l(a) = 2*a**2. Give l(b(d)). 288*d**2 Let l(p) = 8*p**2. Let z(s) = 7*s**2 - 12*s + 12. Let w(c) = -2*c**2 + 2*c - 2. Let f(u) = -30*w(u) - 5*z(u). What is l(f(j))? 5000*j**4 Let x(p) = 3*p**2. Let s(q) = q**2 + 14*q. Let k be s(-14). Let g(f) = k*f**2 - f**2 - f**2. What is x(g(i))? 12*i**4 Let b(g) = 3*g**2. Let x(p) = 257518*p. Calculate x(b(q)). 772554*q**2 Let d be 3432/(-576) + 2*3. Let a(j) be the third derivative of 0*j**3 + 0 + 0*j - d*j**4 + 4*j**2. Let i(q) = -5*q**2. Determine i(a(m)). -5*m**2 Let q(m) = 6*m**2 - m + 2. Let g be q(2). Let y(j) = g + j - 24. Let s(b) = 4*b**2. What is s(y(p))? 4*p**2 Let k(i) = -7624*i**2. Let d(f) = 27*f. Determine d(k(r)). -205848*r**2 Let c(y) = -113*y**2. Let x(v) = -7*v**2 + 15*v. What is x(c(i))? -89383*i**4 - 1695*i**2 Let r(b) be the first derivative of -b**2/2 + 8. Let z(l) = -6*l**2 + 54 - 109 + 55 - 8*l**2. Give r(z(u)). 14*u**2 Let t(g) = -6*g - 3. Let d(n) be the first derivative of -n**3/3 + 107. Calculate d(t(b)). -36*b**2 - 36*b - 9 Let h(j) be the second derivative of j**7/840 - 19*j**4/6 - 14*j. Let v(p) be the third derivative of h(p). Let t(m) = -5*m**2. Give t(v(d)). -45*d**4 Let s(z) = -88018*z. Let f(h) = -4*h**2. Calculate s(f(k)). 352072*k**2 Let p(g) = 2*g. Let x(r) = -6*r - 14841. Calculate p(x(m)). -12*m - 29682 Let l(i) be the third derivative of 11*i**5/60 - 70*i**2. Let a(w) = 11*w. Give a(l(t)). 121*t**2 Let b(f) = 43*f. Let d(t) be the first derivative of t**2 - 128. What is d(b(u))? 86*u Suppose j - 4*g + 29 = 0, -3*g + 8 - 2 = 0. Let u(s) = 5*s - 2. Let p(f) = -14*f + 7. Let y(q) = j*u(q) - 6*p(q). Let l(m) = 2*m. Calculate y(l(a)). -42*a Let o(t) be the second derivative of 7*t**3/3 - 2*t - 108. Let g(y) be the third derivative of -y**5/60 + y**2. Calculate g(o(l)). -196*l**2 Let u(j) = -2*j**2. Let b(g) be the second derivative of 0*g**3 - 3/4*g**4 - 4*g + 0 + 0*g**2. Give u(b(h)). -162*h**4 Let g(c) be the first derivative of 0*c - 18 + 29/2*c**2. Let a(j) = -2*j**2. Determine a(g(r)). -1682*r**2 Let d(o) = o**2. Let s(f) = -f**3 - 10*f**2 + 2. Let p be s(-10). Let c(t) = -507 - 4*t**p + 507. Give d(c(j)). 16*j**4 Let p(o) = 4*o. Let t(a) = 36553*a. Give p(t(f)). 146212*f Let d(k) be the first derivative of k**5/60 - 7*k**3/3 + 1. Let m(x) be the third derivative of d(x). Let h(w) = -9*w. Calculate h(m(j)). -18*j Let z(i) = -73*i**2 - i + 7. Let l(t) = t. Determine z(l(j)). -73*j**2 - j + 7 Let f = 8 + 3. Let v(x) = -5*x - 9*x + f*x. Let s(h) = -11*h. Determine s(v(l)). 33*l Let v(w) = -10*w**2. Let x(l) = -12. Let j(s) = -s - 9. Let o(h) = 4*j(h) - 3*x(h). What is o(v(q))? 40*q**2 Let x(z) = 2*z**2. Let u(v) = v**2 - 10*v + 9. Let h be u(9). Let y(m) = h*m + 0*m + 19*m**2 - 48*m**2. Give x(y(r)). 1682*r**4 Let t(g) = 12*g + 7. Let n(m) = -15*m - 3. Determine t(n(w)). -180*w - 29 Let y(n) = 244976*n. Let p(k) = 3*k. Give y(p(u)). 734928*u Let i(t) = -12*t**2 - 4*t. Let u(q) = 1502*q. What is i(u(h))? -27072048*h**2 - 6008*h Let b(j) = -3*j**2. Let z = -58 + 62. Let m(n) = 19 - 19 - z*n + 6*n. Give b(m(r)). -12*r**2 Suppose -3*h + 12 = 0, 4*z + h = 5 + 15. Suppose -r - 3 = -2*r. Let x(q) = z*q + q - r*q. Let n(o) = -7*o. Give n(x(w)). -14*w Let l(p) = -12*p**2. Let b(s) = 972*s**2 + s - 1. Calculate b(l(f)). 139968*f**4 - 12*f**2 - 1 Let b = -2 + 2. Let j(y) = 7*y - 4*y - y + b*y. Let l(a) = -3*a**2. Determine l(j(w)). -12*w**2 Let f(b) = 1076*b**2 + 2 - 677*b**2 - 520*b**2 - 2. Let m(d) = -3*d**2. Give m(f(n)). -43923*n**4 Let z(q) = q + 91. Let p(k) = 26. Let o(m) = 28*p(m) - 8*z(m). Let w(g) be the second derivative of -g - 1/3*g**3 + 0*g**2 + 0. Give o(w(f)). 16*f Let n(z)
{ "pile_set_name": "DM Mathematics" }
(h). 2 Let n(x) be the second derivative of 0 - 2*x + 1/2*x**2 + 1/3*x**3. Determine n(-1). -1 Let k(a) = a + 4. Let h(f) = -11*f + 2. Let l be h(-2). Let g be -2 + l + (0 - 1). Suppose 5*m - 6 + g = 0. What is k(m)? 1 Let q be 14/(-42) - (-1 - 2/(-3)). Let p(i) be the first derivative of i**4/4 - i**3/3 + i**2/2 - 5*i + 2. Determine p(q). -5 Let l(w) = -w**3 - 3*w**2 + 3*w - 2. Let v be l(-3). Let p = -6 - v. Let o(t) = -t**2 + p*t**2 - t**2 - 1. Give o(1). 2 Let b(n) = -5*n**2 + n + 3*n**2 + 11*n**2. Calculate b(-1). 8 Let p(b) = -b**3 + 4*b**2 + 4*b + 1. Let z be p(5). Let l(n) = -n**2 + 4*n + 11. Let t(w) = w**2 - 3*w - 10. Let c(d) = -6*l(d) - 7*t(d). Determine c(z). 0 Let i(c) be the third derivative of c**5/60 + c**3/6 - 18*c**2 - 1. Calculate i(-1). 2 Let c(f) = 3*f + 2*f**2 - 11*f + 10*f - f**2. Determine c(-3). 3 Let q be 2*(9/2)/3. Let s(d) = 4*d**3 - 7*d**2 + 4*d - 3. Let n(w) = 5*w**3 - 8*w**2 + 5*w - 4. Let l(p) = 3*n(p) - 4*s(p). Calculate l(q). 6 Let g(r) = -3*r - 6. Let c = 26 - 9. Let h = c - 21. What is g(h)? 6 Let k(j) = 2*j**2 + 3*j + 3. Let r be k(-2). Let z(x) be the third derivative of -x**6/120 + x**5/12 + x**4/24 - 7*x**3/6 + 15*x**2. Calculate z(r). -2 Let z(s) = 3*s**2 + 26*s + 25. Let j(w) = w**2 + 13*w + 13. Let u(n) = 5*j(n) - 2*z(n). Determine u(14). 1 Let k(p) = -2 + 0*p - 4 - p. Let t = -57 - -52. Give k(t). -1 Let y(o) = -o**3 - 6*o**2 + 13*o + 4. Let j(x) = -2*x**3 - 11*x**2 + 28*x + 8. Let n(c) = -2*j(c) + 5*y(c). Determine n(-9). 4 Let m(v) = v**3 + 6*v**2 + 2*v - 3. Let c(i) = 4*i**3 + i**2 - 2. Let k be c(-1). What is m(k)? 12 Let b(o) = -1 + 2 + 6 - 3*o - 4. Give b(-6). 21 Let d(p) = 7*p**3 + 0*p**3 + p**2 - 2*p**2 + p. Suppose -2 + 6 = 4*c. Give d(c). 7 Let h(o) = 5*o - o - 3*o - 11. What is h(10)? -1 Let h(q) = 1. Let y(r) = -2*r - 6. Let n(c) = -12*h(c) - y(c). Calculate n(6). 6 Let n(k) be the first derivative of -k**4/4 + 5*k**3/3 - k**2/2 + 3*k + 1. Suppose 0 = -h - h + 40. Suppose -o = 3*o - h. Give n(o). -2 Suppose 3*v = 5*k + 2, 4*k - v + 3*v = 16. Let q be ((-4)/12)/((-2)/24). Let s(p) = p + 0*p + k*p - q. Calculate s(3). 5 Suppose 0*b + 5*c = 3*b - 22, 2*b + 22 = -4*c. Let q(p) = -14*p**3 - p**2 - p - 1. What is q(b)? 13 Let f(u) be the first derivative of 3*u + 0*u**3 - 1/2*u**2 - 2 + 1/4*u**4. Let p be f(0). Let g(s) = -s**3 + 4*s**2. Give g(p). 9 Let k = 187 - 181. Let g(r) = -5*r**3 + 10*r**2 - 5*r + 5. Let x(f) = 4*f**3 - 9*f**2 + 4*f - 4. Let i(c) = 3*g(c) + 4*x(c). Determine i(k). 5 Let w(m) = -m**3 - 6*m**2 - m. Let a be w(-6). Let q(i) = -i**3 + 6*i**2 - 3*i + 6. Determine q(a). -12 Let x = -23 + 17. Let y(m) = -m**3 - 5*m**2 + 4*m - 3. Calculate y(x). 9 Let k(t) = -t**2 + 2*t - 3. Let w = -9 - -19. Suppose 3*j - 5*j + w = 0. Suppose g + g - 3*u = -j, -15 = -5*u. What is k(g)? -3 Suppose 3*o + d - 1 = -0, -4*d - 6 = 2*o. Let q(u) = -u**3 - u**2 + u - 1. Give q(o). -2 Let a be -3 + -2*(0 - -4). Let m = a - -12. Let y(d) = 8*d - 1. Calculate y(m). 7 Let c(t) = t**2 + 7*t. Suppose -6*l + 17 = 53. What is c(l)? -6 Suppose 4 + 12 = -2*h. Let x = h - -13. Let w(z) = z - 2. Let f(k) = -4*k + 7. Let c(a) = -2*f(a) - 9*w(a). What is c(x)? -1 Let z(r) = -r**3 + r**2 - r. Let t(u) = 5*u**3 - 3*u**2 + 3*u - 3. Let p(q) = -t(q) - 4*z(q). Let a be p(0). Let s(h) = h**3 - 3*h**2 + 2*h. Calculate s(a). 6 Suppose 0 = 8*u + 4*u. Let f(q) be the third derivative of u - 1/12*q**4 + q**3 + 1/120*q**6 - 2*q**2 + 0*q - 1/15*q**5. What is f(4)? -2 Let c(y) = -123*y + 61*y + 5 + 61*y + 7. Give c(10). 2 Let v(h) be the third derivative of h**7/315 + h**6/720 - h**4/8 + 10*h**2. Let q(p) be the second derivative of v(p). Determine q(1). 9 Suppose 4*d + 3*v - 5 = 0, 0 = -3*d - 4*v - 3 - 2. Let y(t) = -t**2 - 2 - 5 + 5*t - 1 + 2. Give y(d). -6 Let b(l) = -8*l + 1. Suppose -2*y - 4 = -0. Let v = y - -1. Determine b(v). 9 Let i(g) = g - 11. Suppose h = -3*t + 6, 3*t = 4*h - 0*h + 6. Determine i(h). -11 Let w(k) = -k**2 - 5*k - 3. Let x(o) = -o**2 - 8*o - 15. Let d(n) = n**2 - 6*n + 2. Let s be d(4). Let f be x(s). What is w(f)? 3 Let o(m) be the second derivative of m**3/3 + 11*m**2/2 + 8*m. Let k(x) = -2*x - 12. Let g(w) = -4*k(w) - 5*o(w). Calculate g(-5). 3 Let s(l) = -l**2 + l + 4. Let k = 2 + -2. Suppose 5*j = -25, k = 2*u + 2*j + j + 15. Let d be u/2 - (-6)/2. Give s(d). -2 Let h = -6 + 9. Let s = 18 - 19. Let l = h + s. Let p(v) = -v**3 + 3*v**2 - 2*v - 2. What is p(l)? -2 Let b(o) be the second derivative of 0 - o - 1/2*o**2 - 1/6*o**3. What is b(1)? -2 Let s(x) be the second derivative of x**4/12 + 7*x**3/6 - 3*x**2 - 46*x. Give s(-8). 2 Let y be 1*(0 + 1/(-1)). Let b(d) be the first derivative of -5*d**4/24 + d**3/6 - 7*d**2/2 + 2. Let a(p) be the second derivative of b(p). What is a(y)? 6 Let g = 71 + -107. Let a be (-3)/(-7) + g/(-63). Let u(y) be the second derivative of -y**3/6 + y**2/2 + y. What is u(a)? 0 Let o(m) = -2*m**2 - 2. Suppose 3*w = -3*t - 57, -t - 3*w - 37 = -16. Let g = t - -20. Calculate o(g). -10 Let i(z) = -z**2 - 6*z + 5. Let t = -1 + -1. Let w = -4 + t. Calculate i(w). 5 Let r be 0/(5/(10/4)). Suppose r = 5*d - 10. Let k(m) = -8 + 3 + 6*m + m**d - 2*m**2. Determine k(4). 3 Let k = 6 + -4. Suppose -3*g - k*g = -65. Suppose -7 = -4*q + g. Let i(t) = t**2 - 4*t - 4. Determine i(q). 1 Let y(p) = -p**2 + 2*p - 3. Let w be 46/(-10) + 6/(-15). Let t be (-204)/(-26) - (-4)/26. Let q = t + w. What is y(q)? -6 Let z(h) = h - 1. Let j be z(-5). Let y be (1 + -3)*j/(-4). Let u(k) be the third derivative of k**4/24 - k**3/6 + 11*k**2. What is u(y)? -4 Let b(q) be the first derivative of q**3/3 - q**2/2 - 3*q + 39. What is b(-3)? 9 Let u(h) = h**3 - 2*h**2 - 4*h. Let k be u(3). Let j(w) = -7*w**2 - 9*w - 5. Let t(l) = -4*l**2 - 5*l - 3. Let n(p) = -6*j(p) + 10*t(p). Calculate n(k). 6 Let i(l) = l - 1. Suppose -2*c - 2*a = -3*a - 72, -4*a = c - 27. Suppose -3*v + 0*v + 3*u + 30 = 0, 2*u = 5*v - c. Give i(v). 4 Let t(h) = -8*h + 1. Let c(l) = l**2 + 3*l + 2. Let z be c(-4). Suppose -4*g = -z + 2. Give t(g). -7 Let s(k) = -2*k. Let q be (1*3)/(2/6). Suppose -2*g - g - q = 0. Let r = g - -6. Calculate s(r). -6 Let u = 0 - -1. Let b(m) = -893 - m**2 + 9*m**2 + m + 892. Give b(u). 8 Let y = -62 + 60. Let n(m) = 3*m**3 + 2*m**2 + 2*m. Give n(y). -20 Let i(v) = -v**3 - 6*v**2 - 6*v - 7. Let b be (-5)/((-1 - -5)/4). Give i(b). -2 Suppose 0 = 2*j + o + 12, -3*j - o = 2*o + 24. Let c(u) be the third derivative of -u**4/12 - u**3 - 10*u**2. Give c(j). 2 Suppose 29 = 5*v + 5*w - 1, 2*v = w + 6. Let q be (2 - (v + -2)) + 1. Suppose 4*g = -i + 2*g - q, -2*g - 10 = -2*i. Let h(a) = -a - 1. What is h(i)? -4 Let t(x) = x**2 - 4*x + 3. Let j be (-2)/4 + 18/4. Suppose 2*l - j*k + 0*k = 16, -3*l = 2*k. Calculate t(l). -1 Let k(q) = -q. Let z(f) = f**3 - 4*f**2 - 3*f - 2. Let w(h) = h**2 + h + 1. Let j(p) = 4*w(p) + z(p). Let b be j(0). Let t be 3*b/3 + -7. Calculate k(t). 5 Let x(u) = -3*u - 61. Let f be x(-18). Let j(q) = -q**3 - 6*q**2 + 8*q - 5. Give j(f). -12 Let r(d) = -d**3 - d**2 + d - 2. Let a = 44 - 44. Determine r(a). -2 Let q(v) = -v**3 + 7*v**2 - 7*v + 8. Let l be q(6). Let h(d) = 2*d + 0*d + l + 0*d + 0*d. Calculate h(-2). -2 Suppose -5*c - 2 = 8. Let a = c - 3. Let t(y) = y**3 + y - 4*y + 5*y**2 + 2*y - 6. Calculate t(a). -1 Suppose 4*d + 4*c - 12 = -0*d, 5*d - c = -15. Let o(p) be the second derivative of -3*p + 1/20*p**5 - 1/3*p**3 + 1/12*p**4 + 1/2*p**2 + 0. Give o(d). 1 Let a(j) be the second derivative of 1/12*j**4 - 1/2*j**2 - 4*j + 0 - 1/6*j**3 + 1/20*j**5. What is a(0)? -1 Let c(o) be the second derivative of o**4/24 + 2*o**3/3 + o**2/2 + 4*o. Let u(h) be the first derivative of c(h). What is u(3)? 7 Let j(n) = -1 - 6 + 0 - 3*n + n**2. Let t be j(5). Let g(u) = -4*u - 2 + 8*u + u**2 + u**t - 5*u. What is g(0)? -2 Let k = -1 + 3. Let c(m) = -3*m**2 + 4*m**2 - 2*m**k. What is c(0)? 0 Let p(s) = s + 1. Let x(c) = -c**2 - 4*c - 5. Let i(n) = -2*p(n) + x(n). Let w = 7 - 3. Suppose 28 - 8 = -w*u. What is i(u)? -2 Let c(x) = -3*x - 5. Let d(b) = -b - 3. Let l(s) = 2*c(s) - 5*d(s). Let p(v) = v - 4. Let a be p(0). Calculate l(a). 9 Let n(z) = -z**3 - z**2 - z. Let i = -12 - -11. Let x(u) = 2*u**3 + 2*u + 10. Let c(t) = i*x(t) - n(t). Give c(0). -10 Suppose t - 10 = -t. Let r(f) = -f**3 - 5*f**2 +
{ "pile_set_name": "DM Mathematics" }
s are there between 2:58 PM and 4:35 PM? 97 What is 582 minutes after 11:03 PM? 8:45 AM How many minutes are there between 7:57 PM and 2:41 AM? 404 How many minutes are there between 9:00 AM and 9:54 AM? 54 What is 341 minutes after 9:06 PM? 2:47 AM What is 414 minutes after 4:48 AM? 11:42 AM How many minutes are there between 5:38 AM and 5:57 AM? 19 How many minutes are there between 10:31 AM and 1:22 PM? 171 How many minutes are there between 10:07 PM and 7:19 AM? 552 How many minutes are there between 10:50 PM and 7:01 AM? 491 What is 505 minutes before 10:39 AM? 2:14 AM How many minutes are there between 3:40 PM and 7:53 PM? 253 What is 246 minutes after 2:16 PM? 6:22 PM What is 277 minutes after 8:35 AM? 1:12 PM What is 322 minutes before 8:57 AM? 3:35 AM What is 418 minutes before 10:03 PM? 3:05 PM What is 252 minutes before 3:05 PM? 10:53 AM What is 102 minutes after 4:54 PM? 6:36 PM What is 401 minutes before 6:32 AM? 11:51 PM What is 456 minutes before 4:10 PM? 8:34 AM How many minutes are there between 6:34 PM and 7:16 PM? 42 What is 685 minutes after 3:25 AM? 2:50 PM How many minutes are there between 12:20 PM and 5:23 PM? 303 What is 77 minutes after 11:58 AM? 1:15 PM How many minutes are there between 9:25 PM and 3:37 AM? 372 What is 532 minutes after 7:08 PM? 4:00 AM What is 240 minutes before 9:54 PM? 5:54 PM What is 691 minutes after 11:32 AM? 11:03 PM What is 456 minutes after 7:17 PM? 2:53 AM How many minutes are there between 11:13 PM and 1:48 AM? 155 How many minutes are there between 6:26 AM and 5:42 PM? 676 How many minutes are there between 4:11 AM and 5:02 AM? 51 How many minutes are there between 7:00 AM and 11:12 AM? 252 What is 292 minutes after 7:41 PM? 12:33 AM What is 96 minutes after 3:41 AM? 5:17 AM How many minutes are there between 12:36 PM and 7:36 PM? 420 How many minutes are there between 3:24 AM and 8:51 AM? 327 What is 137 minutes before 12:30 AM? 10:13 PM What is 553 minutes before 1:56 AM? 4:43 PM How many minutes are there between 4:59 AM and 5:55 AM? 56 How many minutes are there between 12:34 AM and 9:26 AM? 532 What is 532 minutes after 3:35 AM? 12:27 PM How many minutes are there between 12:33 AM and 6:00 AM? 327 How many minutes are there between 8:36 AM and 4:38 PM? 482 What is 680 minutes before 7:52 AM? 8:32 PM How many minutes are there between 3:20 AM and 10:19 AM? 419 What is 194 minutes before 6:16 AM? 3:02 AM How many minutes are there between 12:35 PM and 8:22 PM? 467 What is 400 minutes after 4:18 AM? 10:58 AM What is 470 minutes after 3:55 PM? 11:45 PM How many minutes are there between 5:50 PM and 3:46 AM? 596 How many minutes are there between 4:08 PM and 4:17 PM? 9 How many minutes are there between 2:20 PM and 8:54 PM? 394 What is 76 minutes before 5:02 PM? 3:46 PM What is 207 minutes before 4:56 AM? 1:29 AM What is 588 minutes after 2:42 PM? 12:30 AM What is 331 minutes before 11:53 PM? 6:22 PM What is 2 minutes after 4:13 AM? 4:15 AM What is 158 minutes after 11:20 AM? 1:58 PM What is 679 minutes before 3:36 PM? 4:17 AM What is 98 minutes before 1:43 PM? 12:05 PM What is 302 minutes before 2:47 PM? 9:45 AM How many minutes are there between 11:46 PM and 5:06 AM? 320 What is 611 minutes before 8:35 AM? 10:24 PM How many minutes are there between 2:33 PM and 10:55 PM? 502 What is 424 minutes after 11:42 PM? 6:46 AM What is 492 minutes before 11:26 AM? 3:14 AM What is 644 minutes before 5:11 AM? 6:27 PM What is 62 minutes before 9:20 AM? 8:18 AM How many minutes are there between 8:26 AM and 9:20 AM? 54 What is 302 minutes before 8:55 PM? 3:53 PM How many minutes are there between 3:53 PM and 3:42 AM? 709 What is 699 minutes before 11:00 PM? 11:21 AM What is 660 minutes after 6:58 PM? 5:58 AM How many minutes are there between 9:23 AM and 2:02 PM? 279 How many minutes are there between 10:59 AM and 11:26 AM? 27 How many minutes are there between 4:46 PM and 7:15 PM? 149 What is 194 minutes after 3:22 AM? 6:36 AM How many minutes are there between 10:22 PM and 7:54 AM? 572 What is 572 minutes after 9:27 PM? 6:59 AM How many minutes are there between 8:32 PM and 10:01 PM? 89 What is 137 minutes before 1:06 AM? 10:49 PM How many minutes are there between 4:25 AM and 11:23 AM? 418 What is 704 minutes before 8:36 PM? 8:52 AM How many minutes are there between 1:20 PM and 3:53 PM? 153 What is 264 minutes before 4:46 AM? 12:22 AM How many minutes are there between 5:43 PM and 2:17 AM? 514 What is 207 minutes after 8:35 PM? 12:02 AM What is 331 minutes after 8:06 PM? 1:37 AM What is 457 minutes after 12:11 AM? 7:48 AM How many minutes are there between 3:03 AM and 2:53 PM? 710 How many minutes are there between 6:57 PM and 1:03 AM? 366 What is 530 minutes after 4:47 PM? 1:37 AM How many minutes are there between 12:18 PM and 1:06 PM? 48 How many minutes are there between 6:10 AM and 9:06 AM? 176 How many minutes are there between 8:15 AM and 9:47 AM? 92 How many minutes are there between 3:08 AM and 3:20 AM? 12 How many minutes are there between 12:15 AM and 9:53 AM? 578 What is 376 minutes before 4:16 AM? 10:00 PM What is 605 minutes after 8:47 PM? 6:52 AM What is 342 minutes before 4:00 AM? 10:18 PM What is 371 minutes before 6:54 AM? 12:43 AM What is 591 minutes after 7:14 PM? 5:05 AM What is 448 minutes before 6:36 PM? 11:08 AM What is 706 minutes before 3:38 AM? 3:52 PM What is 557 minutes after 6:30 PM? 3:47 AM What is 605 minutes before 4:46 AM? 6:41 PM What is 186 minutes before 5:02 AM? 1:56 AM How many minutes are there between 5:25 AM and 10:40 AM? 315 What is 705 minutes before 6:10 PM? 6:25 AM How many minutes are there between 12:35 PM and 3:27 PM? 172 How many minutes are there between 9:22 PM and 10:38 PM? 76 How many minutes are there between 5:34 AM and 8:26 AM? 172 What is 419 minutes before 10:22 AM? 3:23 AM How many minutes are there between 1:16 PM and 4:22 PM? 186 How many minutes are there between 12:26 AM and 8:27 AM? 481 What is 699 minutes after 8:36 PM? 8:15 AM What is 172 minutes before 6:35 AM? 3:43 AM How many minutes are there between 4:07 AM and 11:16 AM? 429 What is 543 minutes after 3:53 PM? 12:56 AM What is 277 minutes after 3:01 AM? 7:38 AM How many minutes are there between 12:59 AM and 5:51 AM? 292 What is 69 minutes after 3:49 AM? 4:58 AM What is 391 minutes before 10:42 AM? 4:11 AM How many minutes are there between 10:47 AM and 2:01 PM? 194 What is 121 minutes after 9:02 PM? 11:03 PM What is 195 minutes before 10:27 AM? 7:12 AM How many minutes are there between 9:15 PM and 4:51 AM? 456 What is 252 minutes before 1:33 PM? 9:21 AM What is 488 minutes after 10:03 PM? 6:11 AM What is 462 minutes after 12:59 AM? 8:41 AM How many minutes are there between 3:39 AM and 1:28 PM? 589 What is 371 minutes after 6:32 PM? 12:43 AM How many minutes are there between 2:07 AM and 2:58 AM? 51 How many minutes are there between 3:24 PM and 7:28 PM? 244 How many minutes are there between 12:21 PM and 7:06 PM? 405 How many minutes are there between 11:06 AM and 8:44 PM? 578 How many minutes are there between 5:46 AM and 5:18 PM? 692 How many minutes are there between 2:30 AM and 4:54 AM? 144 How many minutes are there between 12:18 AM and 3:35 AM? 197 What is 170 minutes before 1:43 AM? 10:53 PM How many minutes are there between 12:47 PM and 12:36 AM? 709 How many minutes are there between 5:30 PM and 10:22 PM? 292 How many minutes are there between 12:36 PM and 1:16 PM? 40 How many minutes are there between 8:54 AM and 12:58 PM? 244 How many minutes are there between 5:04 PM and 6:42 PM? 98 What is 322 minutes after 2:49 PM? 8:11 PM How many minutes are there between 12:06 AM and 9:24 AM? 558 What is 430 minutes before 6:05 AM? 10:55 PM What is 77 minutes before 9:10 PM? 7:53 PM How many minutes are there between 1:50 PM and 10:03 PM? 493 What is 63 minutes before 10:34 AM? 9:31 AM How many minutes are there between 12:22 AM and 11:27 AM? 665 What is 302 minutes after 4:38 PM? 9:40 PM What is 97 minutes before 10:40 PM? 9:03 PM What is 401 minutes before 2:35 PM? 7:54 AM What is 553 minutes after 4:58 PM? 2:11 AM What is 344 minutes after 12:41 AM? 6:25 AM How many minutes are there between 10:39 PM and 1:18 AM? 159 How many minutes are there between 12:13 PM and
{ "pile_set_name": "DM Mathematics" }
(p) = p + 10. Let f be h(-7). Suppose -f*d - 2 = -4*d. Let l(m) = -3*m + 0 - m**3 - 4*m**d + m - 1. Calculate l(-3). -4 Let w(k) = k - 6. Suppose j - 5*r + 12 = 0, -2*j - 4*r = 2*j. Let v(s) = -s**2 + 10*s - 7. Let p be v(9). Let g = p + j. Determine w(g). -6 Suppose -i - 5*h = 9, 7 = 2*i - 5*h - 5. Let a(m) = -m + i + 3 + 2. Let t be a(5). Let b(k) = -3*k**2 + k - 1. Determine b(t). -3 Suppose 9 = -3*a + 3*v, a + 4*v - 5 = 9*v. Let p(k) = -5*k**2 - 10*k + 3. Let t(d) = -4*d**2 - 9*d + 2. Let s(l) = 3*p(l) - 4*t(l). Calculate s(a). -4 Let r(b) = -b**3 - b**2 + b + 12. Let j be r(0). Let m be (-6)/(j/9 + -2). Let t = m - 7. Let z(c) = -c + 3. Calculate z(t). 1 Let k(i) = -i + 2. Let y be k(-2). Suppose -n = -6 + y. Let m(d) = 2*d**2 - 3*d. Give m(n). 2 Let l = -33 + 36. Suppose -3*n + 2 = -4*b - 3, 12 = 3*b. Let k(p) = 2 - l + 0 - n*p**3 + 2*p. Determine k(1). -6 Let i be 1*-2 + -3 + -5. Let b = i + 7. Let a(r) = -r**2 - 1. Determine a(b). -10 Let x be ((-3)/(-2))/(2/(-4)). Let z(k) = -k**3 + 7*k**2 - 3*k - 2. Let w(p) = -5*p**3 + 30*p**2 - 13*p - 8. Let d(r) = 2*w(r) - 9*z(r). Give d(x). -1 Suppose 4*y = -6 - 6. Let o(z) = z**3 - 7*z**2 + 8*z - 8. Let f be o(6). Let a(w) = 3 - 4*w - f*w + 5*w + 5*w. What is a(y)? -3 Suppose -3*f + 11 = -n, 0 = -2*f + 4*n - 3*n + 7. Let c = 2 + f. Let v(q) = q**2 - 6*q + 3. Give v(c). 3 Let o(z) = -3*z - 63 + 61 + 4*z. Give o(7). 5 Let y(m) = m**2 - m + 1. Suppose 5*p = 4*u - 6*u + 9, -4*u = -4*p - 4. Let j be y(p). Let l(s) = -s - 1 - 4*s**2 + 2 + s**2. Give l(j). -3 Let o(h) = h + 1. Let n be o(-2). Suppose -3*t + 1 = -20. Let v(f) = t*f + 1 - 4*f - f + 7*f**2. Calculate v(n). 6 Suppose l + 1 = -1. Let h(i) = i**2. Let a(r) = -5*r**2 - r - 1. Let s(b) = 2*a(b) + 9*h(b). What is s(l)? -2 Suppose -3*h - 3 = -6*h. Let d be h/4 + (-1)/4. Let k(b) = b**3 - b**2 + b + 6. Give k(d). 6 Let t(v) = -v. Suppose -2*w = 2*z - 2, 0 = 5*z - 0*w - w - 23. Suppose -z*r + r = -3. Let l be 5 + (-2 - r - -1). Give t(l). -3 Suppose 0 = 3*i - 9. Suppose 0 + 1 = -3*p + 2*b, i*p = 4*b + 1. Let x(o) = -4*o - 2*o + 5*o + 6*o. Calculate x(p). -5 Let v(g) = -2*g**2 + 4*g. Let c(f) = -f**2 + 3*f. Let k(i) = 3*c(i) - 2*v(i). Calculate k(1). 2 Let q = -14 - -9. Let i(c) = c**3 - 3*c**2 - 3*c. Let b be i(4). Let a(g) = b*g**2 + 4*g - 3*g**2 - 2*g - 5. What is a(q)? 10 Let q(p) be the first derivative of 3 - 1/2*p**2 + 0*p. Let k(f) = -5*f - 4. Let j(r) = -k(r) + 4*q(r). What is j(-3)? 1 Let m(f) = 206*f - 409*f + 8 + 202*f. What is m(11)? -3 Let r(o) = o**2 - 10*o + 11. Let s be r(9). Suppose -6*y + 8 = -2*y. Let l(q) = 2 - 4*q**2 - 4*q**y - s*q**3 + 5*q**2. Give l(-2). 6 Let y(n) = 7*n**2 - 7 + 2*n**3 - n**3 + 6*n**3 - 6*n**3. Determine y(-7). -7 Suppose 0 = q + 4*q - 55. Let n(w) = w**2 - 11*w + q*w - 5*w**3. What is n(-1)? 6 Suppose -8 = -g - k, -5*k + 5 - 1 = -g. Suppose -5*r - 5 = 5*v, -6*v + 17 = -3*v - r. Suppose -v*y = 8, -2*y - y = -n + g. Let q(a) = a - 5. What is q(n)? -5 Suppose -4*r - 7 = r - 4*y, -4*r - 6 = -3*y. Let h(s) = -s**2 - 4*s - 5*s**2 - 9*s**2 + 14*s**2. What is h(r)? 3 Let a be 12/(-2)*-1 + -4. Let n(g) = -2*g**3 + g**2 + g + 1. What is n(a)? -9 Let t(b) be the third derivative of -b**6/120 - b**5/10 - b**4/24 - b**3/6 + 13*b**2. What is t(-6)? 5 Let w(m) = -m**3 - 7*m**2 + m - 3. Let k be 4 + 3*(-11)/3. Give w(k). -10 Let g(u) = u - 4. Let k(i) = -i**3 + i. Let f be k(-1). Suppose -b = 2*c - 11 - 4, -3*b + c + 17 = f. Suppose n = 3 - b. Determine g(n). -8 Let r(b) = b**2 + 4*b + 3. Let d(z) = -z**3 + z + 4. Let t be d(0). Suppose -t*o = o + 20. What is r(o)? 3 Let m(u) = 2*u + 9. Let q(w) = 4*w - 6 + 0 - 2 - 5*w. Let s(f) = -3*m(f) - 4*q(f). Determine s(-4). 13 Let b(y) = -2*y - 3 + y + 0 + 0*y. What is b(-2)? -1 Let t be (-2)/(-6)*-1 - 28/6. Let f(z) = -z**3 - 3*z**2 + 6*z - 1. What is f(t)? 19 Let f(i) = i**3 + i**2 + i - 1. Let c(b) = -2*b**3 + 2. Let x(v) = c(v) + 3*f(v). Calculate x(-3). -10 Let p = 0 - -2. Let o(s) be the second derivative of -2*s - 1/3*s**4 + s**3 + 0 - 1/20*s**5 + 3/2*s**p. Give o(-5). -2 Let o(w) = -6*w + 4. Let z be o(-2). Suppose z = -5*j - 4. Let u(y) = y**2 + 4*y + 1. What is u(j)? 1 Suppose -3*t - 4 = -5*w, 0 = 2*t - 2*w + 4. Suppose 4*f = 5*l + 30, 3*f - 6*f = 0. Let g be (t/(-9))/((-2)/l). Let u(o) = 4*o**2 + 2*o - 1. Calculate u(g). 5 Let q(t) = -3*t. Suppose 3*r + 3 = 2*j + 1, 3*j = -2*r + 16. Suppose r = -v + 5. What is q(v)? -9 Suppose 0*x = x + 5*l + 26, 2*l - 10 = 3*x. Let w(h) = -2*h - 8. What is w(x)? 4 Let y(q) = -q**2 - 16. Let h be (0 - (0 + -4)) + -4. Give y(h). -16 Let l(x) = 3*x**3 - 2*x**2 - 2*x - 1. Let s(o) = -o**3 + o**2 - 1. Let h(f) = 18 - 18 + f. Let p be h(0). Let i be s(p). Give l(i). -4 Let b = 40 + -46. Let s(a) = a**3 + 7*a**2 + 8*a + 2. What is s(b)? -10 Suppose -3*l - 15 = -t, 8 + 12 = -4*l + 2*t. Let s(x) be the first derivative of -x**4/4 - 2*x**3 - 7*x**2/2 - 4*x + 1. Calculate s(l). 6 Let r(t) = 2*t**3 + 6*t**2 + 6*t + 4. Let d(f) = 3*f**3 + 7*f**2 + 7*f + 4. Let k(p) = -3*d(p) + 4*r(p). Determine k(3). 13 Let n(q) = 3*q + 0*q - 2*q - 1 - q**2 + q**3 - 10. Give n(0). -11 Let a(q) = 4*q**2 - 1. Let o be a(-1). Suppose 0 = o*h + 2*l - 6*l - 30, -9 = 3*l. Suppose -5*d + 4 + h = 0. Let t(r) = 3*r. Give t(d). 6 Let c(h) = 4*h**3 - h**2 + 5*h + 1. Let i(z) = -z**2 - 7*z - 5. Let d be i(-7). Let g(x) = -3*x**3 - 5*x - 2. Let l(v) = d*g(v) - 4*c(v). Give l(5). 6 Let t(z) be the first derivative of 0*z - 1/360*z**6 - 4 + 4/3*z**3 + 0*z**2 - 1/8*z**4 + 1/60*z**5. Let m(a) be the third derivative of t(a). Determine m(2). -3 Suppose -2 = -3*n + 7. Suppose n*r + x = -4*x + 22, -2*r - x + 3 = 0. Let u = -2 - r. Let h(t) = 6*t**3 + t**2 - t - 1. Determine h(u). -5 Suppose -26 = -3*o - 2. Suppose 3*w = o*w - 15. Let s(y) = 9*y**2 - w*y**2 + 1 + y**2 + y. Determine s(-1). 7 Let g be (-29)/(-4) + (-4)/16. Let f = -5 + g. Suppose t = -f*t. Let r(i) = -i**2 + i + 1. Determine r(t). 1 Let d(u) be the third derivative of 0*u + u**2 + 0 + 5/6*u**3 + 1/20*u**5 - 1/12*u**4 + 1/120*u**6. Determine d(-4). -3 Let g(d) be the third derivative of d**4/12 + 4*d**3/3 - 7*d**2 - 3. Give g(6). 20 Let g(j) = 17*j**3 - j + 2*j - 2*j. Calculate g(-1). -16 Let n(a) = 2*a - 12. Let h(p) = p**2 + p - 4. Let r be h(-4). Determine n(r). 4 Suppose 5*m - 102 - 38 = 0. Suppose 3 - m = 5*n. Let a(s) = s**2 - s + 1. Let f(j) = -5*j**2 - j - 10. Let y(q) = -4*a(q) - f(q). Give y(n). 6 Let d(m) = m**3 - 3*m**2 - 2. Suppose 9*t + 4*q = 5*t - 4, 3*q + 9 = 0. Give d(t). -6 Suppose 22 = -3*m - 4*h, -2*m - 14 = m - 4*h. Let x(t) = t**3 + 6*t**2 + 2*t + 4. Calculate x(m). -8 Let o(x) be the second derivative of x**6/240 - x**5/120 + x**4/12 - 4*x. Let t(w) be the third derivative of o(w). What is t(-3)? -10 Let n(h) = -1. Let z(w) = w + 15. Let f(q) = -4*n(q) - z(q). Determine f(-7). -4 Let s(q) be the third derivative of -q**7/2520 - q**6/360 + q**5/12 - q**2. Let l(v) be the third derivative of s(v). Give l(-3). 4 Let v(c) = -3*c + 1. Let r be v(4). Let s = 6 + r. Let l(h) be the first derivative of -h**4/4 - 4*h**3/3 + 3*h**2 - 3*h + 3. Calculate l(s). -8 Let d(t) = 0*t**3 - 4 + 2*t**2 - 2*t**3 - 6*t + 3*t**2 + 3*t**3. Suppose 0 = 3*y - 5*p - 9 - 10, 0 = 2*y + 5*p + 4. Let f be (2/3)/(y/(-27)). What is d(f)? -4 Let y(d) = d - 9. Let h(a) = a - 1. Let t(z) = 0*z - z**2 - 3 - 3*z + 2. Let c be t(-2). Let o be h(c). Calculate y(o). -9 Let f(c) be the third derivative of c**5/15 - c**4/8 - c**2. Let u(l) = -2*l - 4. Let v be u(-3). Calculate f(v). 10 Let i(b) = -5*b - 1 + b**3 + 0*b**3 + 2*b**2 - b**2 + 3*b. Let o be (-1)/2*(-3 - 1). Give i(o). 7 Suppose -3*m + m = 3*m. Let s(v) = 4*v - 3*v - 8 + 4. Give s(m). -4 Let g = -3 + 5. Let v(y) = -1 + 6*y**2 + y - y**g + 0. Let s = -265 + 266. Give v(s). 5 Let r(i) = i - 8. Let s be r(6). Let n be 52/10 - 1/5. Let l(m) = -n*m + 4 + 4 - 11 + 5. Determine l(s). 12 Let c(x) = x - 2. Let n be ((-18)/(-4))/(1/(-2)). Let r = 3 + n. What is c(r)? -8 Suppose -q + 24 = -5*q. Let j(h) = h**2 + 13*h - 8. Let a be j(-14). Let z = q + a. Let y(f) = -f - 6. What is y(z)? -6 Let b be (-84)/(-8) - (-3)/2. Suppose -3*r - m = 3*m - 13, -3*r + b = 3*m. Suppose -x = -r*x. Let l(n) = n**2 - 2. Determine l(x). -2 Suppose q = 2*k + 2*k + 1, 5*k + 11 = -2*q. Suppose -4 = -v + d, -9
{ "pile_set_name": "DM Mathematics" }
hat is prob of sequence llh? 2/323 Calculate prob of sequence zv when two letters picked without replacement from vzvvvzvzvv. 7/30 Three letters picked without replacement from {q: 3, a: 6, j: 9, o: 1}. Give prob of sequence ajo. 3/323 Four letters picked without replacement from fqqcfyffffc. What is prob of sequence ffcc? 1/132 Three letters picked without replacement from {a: 4, r: 2, l: 2, n: 5}. What is prob of sequence lal? 2/429 What is prob of sequence nr when two letters picked without replacement from dggrynkk? 1/56 Calculate prob of sequence mf when two letters picked without replacement from {m: 2, b: 2, f: 5, x: 4, w: 1, z: 1}. 1/21 Calculate prob of sequence mg when two letters picked without replacement from {z: 1, f: 2, g: 2, e: 1, m: 1}. 1/21 Four letters picked without replacement from {c: 1, f: 2, j: 5, y: 5, d: 2, l: 1}. What is prob of sequence dljj? 1/1092 Calculate prob of sequence gqg when three letters picked without replacement from {q: 4, g: 6, z: 9}. 20/969 Two letters picked without replacement from dcddrcc. Give prob of sequence rd. 1/14 Two letters picked without replacement from {q: 1, f: 2, a: 4}. What is prob of sequence fa? 4/21 Two letters picked without replacement from {h: 3, f: 5, m: 2}. Give prob of sequence fm. 1/9 Two letters picked without replacement from {u: 1, f: 1, b: 3, x: 3, m: 3, p: 2}. What is prob of sequence bb? 1/26 Calculate prob of sequence rgig when four letters picked without replacement from {r: 1, d: 2, g: 2, i: 1, f: 1}. 1/420 Two letters picked without replacement from {g: 4, n: 5, b: 4, u: 3}. Give prob of sequence bn. 1/12 Calculate prob of sequence vo when two letters picked without replacement from {k: 2, y: 2, v: 2, o: 8}. 8/91 Three letters picked without replacement from myqymyyyymyymmm. Give prob of sequence qmy. 8/455 Calculate prob of sequence ro when two letters picked without replacement from {x: 1, r: 6, o: 4, f: 1, u: 4}. 1/10 Calculate prob of sequence cw when two letters picked without replacement from {c: 1, w: 1, u: 2, m: 3}. 1/42 Two letters picked without replacement from gcesxes. Give prob of sequence xs. 1/21 What is prob of sequence ddhd when four letters picked without replacement from {h: 6, d: 4}? 1/35 Calculate prob of sequence xi when two letters picked without replacement from {o: 2, i: 2, x: 7}. 7/55 Three letters picked without replacement from pppppdppppppp. What is prob of sequence pdp? 1/13 Four letters picked without replacement from {h: 7, m: 5, u: 4, y: 3}. Give prob of sequence ymuh. 35/7752 What is prob of sequence kk when two letters picked without replacement from vvkkkvkvvkvvcak? 1/7 Two letters picked without replacement from {z: 7, c: 1, v: 1, j: 4, o: 2, u: 2}. What is prob of sequence ov? 1/136 Calculate prob of sequence efwf when four letters picked without replacement from effffhuffwzzff. 1/429 Four letters picked without replacement from {t: 2, d: 2, g: 7, x: 3, m: 1, p: 3}. Give prob of sequence mxgx. 7/12240 What is prob of sequence oo when two letters picked without replacement from {i: 6, o: 3, j: 1, s: 3}? 1/26 Two letters picked without replacement from {g: 11, l: 3}. What is prob of sequence gl? 33/182 Calculate prob of sequence bv when two letters picked without replacement from ffvbveyfyvf. 3/110 What is prob of sequence nk when two letters picked without replacement from {x: 2, k: 1, d: 1, m: 1, n: 1, o: 1}? 1/42 Calculate prob of sequence mms when three letters picked without replacement from llmlssmsssslmm. 3/91 Three letters picked without replacement from {u: 7, x: 5, a: 3, z: 1}. Give prob of sequence azx. 1/224 Four letters picked without replacement from xhhbqhhhbbbhhbhbbbbz. Give prob of sequence hxbq. 1/1615 Four letters picked without replacement from bqbbqbbbbqb. What is prob of sequence bqqb? 7/165 What is prob of sequence upit when four letters picked without replacement from uptnpntnnppnpnppni? 7/36720 What is prob of sequence enn when three letters picked without replacement from eenneeee? 1/28 Two letters picked without replacement from ilwgwiw. Give prob of sequence il. 1/21 Three letters picked without replacement from {r: 12, c: 3}. Give prob of sequence rcc. 12/455 What is prob of sequence zipp when four letters picked without replacement from zfpppipf? 1/140 Calculate prob of sequence gi when two letters picked without replacement from iiiooiggogiiioiggii. 25/171 Three letters picked without replacement from {o: 1, t: 1, w: 2, r: 2, a: 2}. What is prob of sequence rwa? 1/42 Two letters picked without replacement from {g: 1, b: 3, s: 1, u: 2}. What is prob of sequence gu? 1/21 Two letters picked without replacement from {x: 5, o: 2, i: 2}. Give prob of sequence oi. 1/18 Four letters picked without replacement from {p: 1, t: 11, z: 1, m: 2, f: 1, n: 3}. Give prob of sequence ptzt. 55/46512 Four letters picked without replacement from oosnyjf. What is prob of sequence yyjs? 0 What is prob of sequence te when two letters picked without replacement from {g: 1, d: 1, e: 3, h: 5, k: 2, t: 1}? 1/52 What is prob of sequence pavp when four letters picked without replacement from {a: 9, p: 2, v: 1, c: 4, w: 3}? 1/5168 What is prob of sequence wguw when four letters picked without replacement from {u: 4, y: 2, g: 4, w: 2, h: 2}? 4/3003 Calculate prob of sequence pju when three letters picked without replacement from {g: 2, z: 5, p: 5, j: 1, u: 2, y: 1}. 1/336 Four letters picked without replacement from bdnndnddgbn. Give prob of sequence nndg. 1/165 Two letters picked without replacement from bybbbbbb. What is prob of sequence by? 1/8 Two letters picked without replacement from ccfcppcffccfffc. Give prob of sequence pp. 1/105 Four letters picked without replacement from {w: 1, x: 1, i: 1, h: 1, y: 2, k: 8}. What is prob of sequence hixk? 1/3003 Calculate prob of sequence nf when two letters picked without replacement from {f: 8, n: 5}. 10/39 What is prob of sequence rb when two letters picked without replacement from xbbrxrbbrbxxxbrrxxb? 35/342 Two letters picked without replacement from {b: 3, u: 15}. Give prob of sequence uu. 35/51 Three letters picked without replacement from lyls. Give prob of sequence yll. 1/12 Two letters picked without replacement from {c: 3, i: 3, l: 6, z: 5}. Give prob of sequence zz. 5/68 Calculate prob of sequence fs when two letters picked without replacement from mmssqqmsqqmfff. 9/182 What is prob of sequence nmn when three letters picked without replacement from {n: 6, m: 6}? 3/22 Two letters picked without replacement from {h: 8, v: 2, o: 7, p: 2}. Give prob of sequence hh. 28/171 What is prob of sequence aaaj when four letters picked without replacement from jjsajsjjssjassssjsj? 0 Two letters picked without replacement from {k: 1, z: 1, l: 2}. What is prob of sequence kz? 1/12 What is prob of sequence gn when two letters picked without replacement from {f: 2, h: 2, i: 1, n: 2, g: 4, x: 1}? 2/33 Calculate prob of sequence vh when two letters picked without replacement from {v: 5, h: 9}. 45/182 Two letters picked without replacement from {c: 2, v: 4, w: 1, l: 1, x: 2}. Give prob of sequence cl. 1/45 What is prob of sequence yn when two letters picked without replacement from nnny? 1/4 What is prob of sequence tttt when four letters picked without replacement from ytytytttyttty? 14/143 What is prob of sequence qjyd when four letters picked without replacement from {j: 1, y: 1, d: 4, n: 3, q: 7}? 1/1560 Four letters picked without replacement from {r: 2, l: 3, s: 1, f: 9, p: 3}. Give prob of sequence prsp. 1/6120 Calculate prob of sequence ki when two letters picked without replacement from {i: 4, x: 4, n: 5, h: 4, e: 2, k: 1}. 1/95 Four letters picked without replacement from mmmmmmmmmcmcmmmmmmmm. What is prob of sequence mmmm? 12/19 What is prob of sequence axl when three letters picked without replacement from {z: 1, l: 11, a: 3, x: 1, v: 1, u: 2}? 11/1938 Three letters picked without replacement from {x: 13, u: 3}. Give prob of sequence xxu. 39/280 Four letters picked without replacement from uauauawweau. What is prob of sequence aeuu? 1/165 Calculate prob of sequence hhhh when four letters picked without replacement from {h: 7}. 1 Two letters picked without replacement from sszs
{ "pile_set_name": "DM Mathematics" }
-4227? -1867*n**2 + 6413*n - 7 What is the a'th term of 15298, 15072, 14846, 14620, 14394? -226*a + 15524 What is the l'th term of -803, -1294, -999, 472, 3509? 65*l**3 + 3*l**2 - 955*l + 84 What is the i'th term of -38407182, -153628709, -345664588, -614514819, -960179402, -1382658337, -1881951624? -38407176*i**2 + i - 7 What is the j'th term of 28605, 28025, 27447, 26871, 26297? j**2 - 583*j + 29187 What is the u'th term of -2997, -12575, -28521, -50829, -79493, -114507? u**3 - 3190*u**2 - 15*u + 207 What is the n'th term of 57312, 114571, 171768, 228903, 285976, 342987, 399936? -31*n**2 + 57352*n - 9 What is the w'th term of -125102197, -125102198, -125102199? -w - 125102196 What is the f'th term of -61565446, -61565443, -61565438, -61565431, -61565422, -61565411? f**2 - 61565447 What is the x'th term of -1508880, -1508912, -1508944? -32*x - 1508848 What is the o'th term of -281590, -563361, -845132? -281771*o + 181 What is the n'th term of 90134, 180271, 270382, 360455, 450478? -2*n**3 - n**2 + 90154*n - 17 What is the k'th term of -12983, -12547, -12103, -11645, -11167, -10663, -10127, -9553? k**3 - 2*k**2 + 435*k - 13417 What is the p'th term of -136997, -273985, -410973, -547961, -684949, -821937? -136988*p - 9 What is the q'th term of 3401, 13666, 30793, 54782, 85633? 3431*q**2 - 28*q - 2 What is the k'th term of -12409, -99221, -334865, -793765, -1550345, -2679029, -4254241, -6350405? -12404*k**3 + 8*k**2 - 8*k - 5 What is the t'th term of -23835, -23359, -22565, -21453? 159*t**2 - t - 23993 What is the l'th term of -6125, -15143, -24161, -33179? -9018*l + 2893 What is the a'th term of -5504367, -5504421, -5504475, -5504529? -54*a - 5504313 What is the u'th term of 285, -168, -1331, -3198, -5763? u**3 - 361*u**2 + 623*u + 22 What is the c'th term of -49911113, -49911123, -49911131, -49911137, -49911141, -49911143? c**2 - 13*c - 49911101 What is the m'th term of 4158, 4160, 4182, 4224, 4286? 10*m**2 - 28*m + 4176 What is the y'th term of -13607495, -27215011, -40822529, -54430049, -68037571? -y**2 - 13607513*y + 19 What is the c'th term of 905, 2140, 3785, 5840, 8305? 205*c**2 + 620*c + 80 What is the v'th term of -1569, -6137, -13713, -24303, -37913, -54549? -v**3 - 1498*v**2 - 67*v - 3 What is the z'th term of 23973, 96002, 216071, 384174, 600305, 864458, 1176627, 1536806? -z**3 + 24026*z**2 - 42*z - 10 What is the k'th term of 1791, 3660, 5713, 8040, 10731, 13876? 15*k**3 + 2*k**2 + 1758*k + 16 What is the k'th term of 976481, 976515, 976551, 976589, 976629, 976671? k**2 + 31*k + 976449 What is the j'th term of 4810, 8538, 14758, 23476, 34698, 48430, 64678, 83448? j**3 + 1240*j**2 + j + 3568 What is the i'th term of 572, 1217, 2282, 3767, 5672, 7997? 210*i**2 + 15*i + 347 What is the s'th term of 15468, 15071, 14674, 14277, 13880, 13483? -397*s + 15865 What is the c'th term of -97500, -195092, -292852, -390864, -489212, -587980, -687252? -14*c**3 - 97494*c + 8 What is the f'th term of -882577247, -882577248, -882577249, -882577250, -882577251? -f - 882577246 What is the c'th term of 8864, 7868, 6872, 5876, 4880? -996*c + 9860 What is the w'th term of -8014, -10426, -7238, 1550, 15938, 35926, 61514? 2800*w**2 - 10812*w - 2 What is the n'th term of 13, -937, -1881, -2813, -3727, -4617? n**3 - 3*n**2 - 948*n + 963 What is the f'th term of -634, -163, 1180, 3851, 8306? 76*f**3 - 20*f**2 - f - 689 What is the x'th term of 5311, 17840, 38723, 67960, 105551? 4177*x**2 - 2*x + 1136 What is the m'th term of 2553694, 10214776, 22983246, 40859104? 2553694*m**2 What is the q'th term of 32125, 31889, 31495, 30943? -79*q**2 + q + 32203 What is the z'th term of 16735, 33908, 51063, 68194, 85295, 102360, 119383, 136358? -z**3 - 3*z**2 + 17189*z - 450 What is the r'th term of -2792, -22475, -75938, -180083, -351812? -2817*r**3 + 12*r**2 + 13 What is the k'th term of 2803, 3881, 5481, 7603? 261*k**2 + 295*k + 2247 What is the a'th term of 675, 743, 821, 903, 983, 1055, 1113? -a**3 + 11*a**2 + 42*a + 623 What is the t'th term of -418, -1741, -4006, -7261, -11554, -16933, -23446, -31141? -8*t**3 - 423*t**2 + 2*t + 11 What is the p'th term of -480581848, -961163693, -1441745538? -480581845*p - 3 What is the x'th term of 1465341354, 1465341352, 1465341348, 1465341342, 1465341334, 1465341324? -x**2 + x + 1465341354 What is the h'th term of 9017, 9229, 9801, 10913, 12745, 15477? 30*h**3 + 2*h + 8985 What is the x'th term of 1372, 1541, 1518, 1303, 896, 297, -494? -96*x**2 + 457*x + 1011 What is the b'th term of 770, -641, -3048, -6457, -10874? -b**3 - 492*b**2 + 72*b + 1191 What is the f'th term of 132815, 132776, 132735, 132692, 132647, 132600? -f**2 - 36*f + 132852 What is the w'th term of -7961, -6977, -5993, -5009, -4025, -3041? 984*w - 8945 What is the g'th term of 193, 325, 355, 247, -35? -6*g**3 - 15*g**2 + 219*g - 5 What is the p'th term of -55586, -52303, -49020, -45737, -42454? 3283*p - 58869 What is the p'th term of -3935438, -3935318, -3935126, -3934868, -3934550, -3934178? -p**3 + 42*p**2 + p - 3935480 What is the b'th term of 80067, 160055, 240043? 79988*b + 79 What is the p'th term of -17433, -17659, -18051, -18621, -19381, -20343, -21519, -22921? -2*p**3 - 71*p**2 + p - 17361 What is the a'th term of -648881, -1297686, -1946503, -2595338, -3244197, -3893086, -4542011? -a**3 - 648798*a - 82 What is the x'th term of -565566, -1131314, -1697062, -2262810? -565748*x + 182 What is the u'th term of -3313, -2920, -1843, 260, 3731? 57*u**3 - 6*u - 3364 What is the w'th term of -30595734, -30595726, -30595718, -30595710, -30595702, -30595694? 8*w - 30595742 What is the k'th term of 24715, 49239, 73567, 97693, 121611, 145315? -k**3 - 92*k**2 + 24807*k + 1 What is the a'th term of -1034651, -2069297, -3103937, -4138571, -5173199, -6207821? 3*a**2 - 1034655*a + 1 What is the s'th term of -7245, -28877, -64915, -115359, -180209, -259465? -7203*s**2 - 23*s - 19 What is the q'th term of -24114, -23685, -22964, -21945, -20622, -18989, -17040, -14769? q**3 + 140*q**2 + 2*q - 24257 What is the v'th term of 21742, 86916, 195496, 347476, 542850, 781612, 1063756? -v**3 + 21709*v**2 + 54*v - 20 What is the w'th term of 509414, 509396, 509378, 509360, 509342? -18*w + 509432 What is the g'th term of -137112, -137115, -137118, -137121, -137124? -3*g - 137109 What is the o'th term of 151636, 606562, 1364778, 2426284, 3791080, 5459166? 151645*o**2 - 9*o What is the j'th term of 746034, 1492090, 2238146, 2984202, 3730258, 4476314? 746056*j - 22 What is the d'th term of 8133, 7926, 7571, 7068, 6417, 5618? -74*d**2 + 15*d + 8192 What is the l'th term of 3548077, 7096149, 10644221, 14192293, 17740365? 3548072*l + 5 What is the q'th term of -23450, -19317, -12426, -2777, 9630, 24795? 1379*q**2 - 4*q - 24825 What is the i'th term of 19690383, 39380842, 59071313, 78761802, 98452315, 118142858? i**3 + 19690452*i - 70 What is the w'th term of 430148, 429941, 429734, 429527? -207*w + 430355 What is the i'th term of -1241, -2177, 1319, 13381, 38143, 79739? 689*i**3 - 1918*i**2 - 5*i - 7 What is the g'th term of 152338, 152542, 152746, 152950, 153154? 204*g + 152134 What is the l'th term of -4463597, -8927193, -13390789? -4463596*l - 1 What is the g'th term of -349, -845, -1833, -3559, -6269, -10209? -41*g**3 - 209*g - 99 What is the b'th term of -24350288, -24350292, -24350296, -24350300? -4*b - 24350284 What is the a'th term of 2213, 7904, 17353, 30560? 1879*a**2 + 54*a + 280 What is the x'th term of -26041, -25672, -25303, -24934, -24565? 369*x - 26410 What is the h'th term of 31477, 31012, 30531, 30028, 29497? -h**3 - 2*h**2 - 452*h + 31932 What is the k'th term of 3683, 13307, 28897, 50453, 77975? 2983*k**2 + 675*k + 25 What is the f'th term of 13856, 27863, 42014, 56309, 70748, 85331? 72*f**2 + 13791*f - 7 What is the f'th term of -17686, -70771, -159224, -283045, -442234? -17684*f**2 - 33*f + 31 What is the p'th term of 660, 4938, 16540, 39126, 76356, 131890, 209388? 610*p**3 + 2*p**2 + 2*p + 46 What is the o'th term of 34670, 58162, 81654? 23492*o + 11178 What is the d'th term of -697, 2597, 13717, 36575, 75083, 133153, 214697, 323627? 652*d**3 + d**2 - 1273*d - 77 What is the l'th term of 8317, 13151, 17983, 22813, 27641, 32467? -l**2 + 4837*l + 3481 What is the f
{ "pile_set_name": "DM Mathematics" }
f(q) wrt q. 32*q What is the first derivative of -39 + 5*i + i**2 + 7*i**2 - 7*i**2 - 266 + 0*i**2 wrt i? 2*i + 5 Let m(o) = -27*o - 443. Let p(v) = -28*v - 437. Let z(x) = -6*m(x) + 5*p(x). Find the first derivative of z(k) wrt k. 22 Let m(a) be the first derivative of -75*a**6 + 145*a**3 - 381. What is the third derivative of m(s) wrt s? -27000*s**2 Let z(c) be the first derivative of 5 + 1/3*c**3 + 0*c - 3*c**2 - 1/8*c**4. Let t(k) be the second derivative of z(k). Find the first derivative of t(l) wrt l. -3 Let d(q) be the first derivative of -3*q**3 + 0*q**2 + 2/3*q**6 + 0*q + 0*q**5 - 5 + 0*q**4. Find the third derivative of d(o) wrt o. 240*o**2 Let f(c) be the first derivative of -c**4/12 + 7*c**3/3 + 17*c + 23. Let a(b) be the first derivative of f(b). Find the second derivative of a(j) wrt j. -2 Let v be -3 + 4 + (3 - -2). What is the third derivative of -23*f**2 - 53*f**6 - f**6 + 84*f**v wrt f? 3600*f**3 Let k(a) = 71*a + 68. Let g(u) = 144*u + 135. Let o(c) = 3*g(c) - 7*k(c). Differentiate o(l) wrt l. -65 Let c be 0/1 + (-5 - -9) + -1. What is the second derivative of -10*r**c - 5*r + 4 + 3*r**3 - 4 wrt r? -42*r Let c(f) be the third derivative of -f**2 + 0*f**3 - 1/20*f**5 + 0 - 1/20*f**6 + 0*f**4 + 0*f. What is the third derivative of c(n) wrt n? -36 Let p(k) be the first derivative of -7 + 1/2*k**2 + 12*k. What is the first derivative of p(v) wrt v? 1 What is the second derivative of -33*y**4 + 51*y**2 - 164 + 34*y**4 + 164 - 432*y wrt y? 12*y**2 + 102 Let n(p) = -8*p**2 + 7*p + 9. Let a be (-2)/3*6 + -1 + -1. Let l(f) = 4*f**2 - 3*f - 4. Let w(q) = a*n(q) - 14*l(q). Find the first derivative of w(u) wrt u. -16*u Let m(x) = 158*x + 667. Let r(z) = z**2 - 473*z - 2002. Let t(j) = -7*m(j) - 2*r(j). What is the derivative of t(h) wrt h? -4*h - 160 Let o = -57 - -62. Let t(s) = -11*s**3 + 32*s**2 - 3. Let j(n) = -23*n**3 + 63*n**2 - 5. Let u(x) = o*t(x) - 3*j(x). What is the third derivative of u(m) wrt m? 84 Suppose 3*d + 6 = 3*c - 3, -d = -3*c + 13. Find the second derivative of -24*v**d - 32*v + 13*v + 13*v wrt v. -48 Let f(d) be the second derivative of -d**6/30 + 139*d**5/10 + 41*d**4/6 + 2*d**3/3 - 13*d + 2. What is the third derivative of f(g) wrt g? -24*g + 1668 Let g(v) = -2*v - 22. Let x be g(-11). Let d(q) = x + q + 13 + 5*q + 2. Let a(o) = -o**2 - o - 1. Let z(m) = 6*a(m) + d(m). Differentiate z(r) wrt r. -12*r Let r(g) be the second derivative of 25*g**7/21 - g**5/10 - 31*g**4/12 + 56*g. What is the third derivative of r(j) wrt j? 3000*j**2 - 12 Let y(q) be the third derivative of 5*q**8/14 + q**5 - 26*q**2 + 3*q. What is the third derivative of y(w) wrt w? 7200*w**2 What is the third derivative of -68*q**4 + 149*q**2 - 2*q**3 - 2*q + 2*q wrt q? -1632*q - 12 Let w(k) be the third derivative of k**6/120 - 289*k**5/30 - 178*k**3 + 664*k**2. Differentiate w(g) with respect to g. 3*g**2 - 1156*g Suppose 4 = -a, -a - 20 = -z + 8. What is the third derivative of -14*o**2 + 1884*o**3 - z*o**5 - 1884*o**3 wrt o? -1440*o**2 Let x be (7 - (-6 + 13))/3. Let a(w) be the second derivative of -3*w + 0*w**4 + x + 3/10*w**5 + 5/6*w**3 + 0*w**2. Find the second derivative of a(s) wrt s. 36*s Let z(x) be the second derivative of 2*x**7/15 - x**4 + 8*x**2 - 17*x. Let c(i) be the first derivative of z(i). What is the second derivative of c(o) wrt o? 336*o**2 Let p(u) = -u**3 - 11*u**2 + 7. Let l be p(-11). Differentiate 26*x**4 + l + 6 - 18*x**4 wrt x. 32*x**3 What is the second derivative of -53*b**2 + 61*b**3 + 6*b - 59*b**3 + 85*b wrt b? 12*b - 106 Let k(m) be the second derivative of 11*m**7/840 - m**4/6 + 5*m**3/6 + 3*m. Let w(b) be the second derivative of k(b). Differentiate w(v) wrt v. 33*v**2 Let y = 32 + -13. Find the second derivative of 8*z - z - z - y*z**3 wrt z. -114*z Let m(s) be the second derivative of 0*s**3 - 38*s - 1/2*s**4 + 0 - 17/2*s**2. Find the first derivative of m(v) wrt v. -12*v Suppose 5*h - 19 = -3*b + 10, -5*b + 19 = h. Find the second derivative of 9*s + s**b + 32*s**4 + 17*s - 10*s wrt s. 384*s**2 + 6*s What is the second derivative of j + 109*j**3 + 0*j - 182 + 196*j**5 - 198*j**5 wrt j? -40*j**3 + 654*j Let n = -8 + 14. Let j(p) = p**2 - 6*p + 2. Let s be j(n). Differentiate -7*a - a**s + 4 - 3 + 7*a with respect to a. -2*a Let m(o) be the first derivative of 0*o**3 + 0*o**4 + 8/5*o**5 + 22 - 10*o**2 + 0*o. What is the second derivative of m(b) wrt b? 96*b**2 Find the third derivative of 41*v**2 - 228*v**3 + 1 + 281*v**3 + 0 wrt v. 318 Let g(j) be the first derivative of 11*j**4/4 + 3*j**2 + 90*j + 19. Differentiate g(i) with respect to i. 33*i**2 + 6 Find the third derivative of 269*u**4 - 47*u**4 - 31*u**2 + 1 - 17*u**2 wrt u. 5328*u Let n = -886 - -889. Let s(q) be the first derivative of 4*q**2 + 4/3*q**n + 0*q - 9. Find the second derivative of s(h) wrt h. 8 Let b(r) be the second derivative of -19*r**5/2 - 5*r**4/6 + 13*r**3/2 - 40*r. What is the third derivative of b(n) wrt n? -1140 Let w(c) be the second derivative of -1/7*c**8 - 2*c + 0 + 0*c**2 + 0*c**6 + 0*c**5 - 13/12*c**4 + 0*c**3 + 0*c**7. Find the third derivative of w(j) wrt j. -960*j**3 Suppose 12 - 52 = -5*i. Find the second derivative of -10*t - i*t + 14*t**2 - 7*t**2 - t**2 wrt t. 12 Let n(k) = k**2 - 13*k - 12. Let x be (2/(-5))/((-6)/210). Let o be n(x). What is the first derivative of 1 + 8*j**2 + o*j**2 + 1 wrt j? 20*j Let v = -23 - -26. Find the third derivative of -b**v - 6*b**3 - 5*b**2 - 3*b**3 wrt b. -60 Let c(z) be the second derivative of 31*z**4/12 - 175*z**2 + 413*z. Find the first derivative of c(w) wrt w. 62*w Suppose -q - z = 0, -2*q - 3*z = -7*q + 16. What is the third derivative of -19*v**3 - 15 - 35*v**q + 25*v**2 + 15 wrt v? -114 Let f(d) be the first derivative of -115*d**6/6 - 4*d**2 - 7*d + 198. What is the second derivative of f(p) wrt p? -2300*p**3 Let g(p) be the third derivative of 52*p**2 - 8*p**3 + 0 + 17/12*p**4 + 0*p. Differentiate g(x) with respect to x. 34 Let a(o) be the second derivative of o**8/168 + o**5/10 - o**3/3 - 7*o. Let r(x) be the second derivative of a(x). What is the second derivative of r(t) wrt t? 120*t**2 Let k(l) be the third derivative of 0*l - 1/336*l**8 + 0*l**6 - 1/15*l**5 + 0*l**7 + 0 + 6*l**2 + 0*l**4 + 0*l**3. What is the third derivative of k(g) wrt g? -60*g**2 Suppose -3*s + 3*q + 2556 = 0, -2*q = 3*s - 8*s + 4254. What is the third derivative of 5*m**6 + 13*m**2 - 850*m**3 + s*m**3 wrt m? 600*m**3 Let g(r) = 98*r**2 - 98*r**2 - 29*r**3 + 33*r + 5. Let z(b) = -57*b**3 + 66*b + 9. Let x(y) = 9*g(y) - 5*z(y). Find the second derivative of x(d) wrt d. 144*d Suppose 74*s - 62*s = 0. Let j(i) be the second derivative of 4*i + s*i**3 + 0 + i**2 - 1/6*i**4. Find the first derivative of j(t) wrt t. -4*t Let d(p) be the first derivative of p**5/5 - 5*p**3 - p**2 - 9*p + 71. What is the second derivative of d(s) wrt s? 12*s**2 - 30 Differentiate -29*u**3 - 32*u**3 + 170 - 29*u**4 + 137 + 62*u**3 wrt u. -116*u**3 + 3*u**2 Suppose -4*c + 3*b + 20 = 0, 0 = -3*c + 4*b - 4 + 19. Find the second derivative of -2*x**5 + 4*x**c - 7*x + 17*x wrt x. 40*x**3 Let r(w) be the first derivative of -6*w**4 - 10*w**3 + 137. Find the third derivative of r(g) wrt g. -144 Suppose 3*a = i + 20, 4*a - 48 = 5*i - 14. What is the second derivative of a*m**2 + 3*m - m + m + m wrt m? 12 Let l(p) be the third derivative of 0*p**5 + 11/6*p**3 + 0 + 0*p + 0*p**6 + 0*p**4 + 9*p**2 - 4/35*p**7. Differentiate l(w) with respect to w. -96*w**3 Let d(c) = c**3 - 12*c - 7. Let p be d(-3). Let y(w) be the second derivative of -11/2*w**p + 0*w**3 + 0 + 1/2*w**4 - 6*w. Differentiate y(f) wrt f. 12*f What is the derivative of 3 - 3 - n**4 + 9*n**2 - 8 - 8 wrt n? -4*n**3 + 18*n Differentiate -620*p + 620*p + 229 + 19*p**2 with respect to p. 38*p What is the third derivative of 324*w**4 - 226*w**2 - 122*w**4 - 33*w**2 wrt w? 4848*w Let f(m) be the first derivative of -521*m**2/2 - 86*m - 554. Find the first derivative of f(z) wrt z. -521 Let g(t) be the second derivative of -21*t**5/5 - 11*t**4/4 + 62*t. What is the third derivative of g(b) wrt b? -504 What is the first derivative of -86 - 34*f**3 + 10*f**3 - 66*f**3 + 25*f**3 wrt f? -195*f**2 Let w(l) be the first derivative of -2*l**5/5 + 63*l**2/2 + 57*l - 92. Differen
{ "pile_set_name": "DM Mathematics" }