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*4/12 - q**3 + 2*q**2 - 7*q. Let d be o(6). Solve 5*k = -x + 2, d*k - 5*k = -v*x - 16 for k. 1 Let u be -5 + (-12)/(-10)*360/16. Solve f + 8 - u = 3*o, 0 = -4*o - f - 14 for o. -4 Let l be ((-10)/(-35))/((-3)/(-21)). Suppose 15 = l*v - 7*v. Let z be 2 + 3 + 6 + v. Solve -3*a = -7*a + 2*g - z, a - 7 = 5*g for a. -3 Let b be 27 + 3/((-6)/(-8)). Solve 0 = -3*v - 12, -4*v = 2*i + 3*i + b for i. -3 Let p = -3 + 8. Let d = -563 + 571. Solve 2*u - p*u = v + d, -4*v + u + 20 = 0 for v. 4 Let d(x) = 2*x**3 + 36*x**2 - 2*x - 29. Let y be d(-18). Solve 0 = -y*p + 2*p - b + 4, 3*b - 12 = -3*p for p. 0 Let i(f) = -3*f - 4. Suppose 0*m + 2*m = -4. Let u be i(m). Solve -4*q + 0*a - u = a, 0 = -2*q + 2*a + 4 for q. 0 Suppose -2*s = -2*h, -5*h = 4*s - 33 + 6. Suppose z + k - 33 = -s*z, z + 4*k = 27. Suppose -3*p - 16 = -z*p. Solve 0 = m - 0*m - 5*q + 12, -p*q = 4*m for m. -2 Let l(a) = -a**3 - 5*a - 15. Let h be l(-2). Let m = -13 - -28. Solve 3*z = -z + h*c + 23, -4*z - 5*c = -m for z. 5 Suppose 5*n + 3*x = -14 + 1, -5*n + 2*x - 8 = 0. Let a be 3/((n*4/(-8))/1). Solve 3 - 2 = -2*u + 3*h, -4*u - 11 = -a*h for u. -5 Let s = 67 + -40. Suppose -u = -5*x + 104, -3*u + 135 = 5*x + s. Solve -5*a - x + 0 = -4*o, 2*o = -5*a + 3 for o. 4 Let q = -44 - -47. Suppose q = -c + u, -4*c + 26 = -c + 4*u. Solve 2*t - 3*z + 3 = 0, 4*t - c*z + 3 = -7 for t. -3 Suppose 4*r - 14 = 2*m, -r + 2*m = 4*r - 17. Solve -7*x + 5*x = r*l + 22, 2*l + 23 = -3*x for l. -4 Let t(j) = -6 + 1 - 20*j + 29*j. Let d be t(2). Suppose 5*p = d + 2. Solve -3*i - i - p*o - 1 = 0, -5*i = o + 4 for i. -1 Let t be 54/10 + (-24)/60. Let l = t - 1. Solve 5*z + 25 = -l*m, -m + 0*z = -5*z for m. -5 Let q be (-18)/(-15) + (-12)/10. Solve q = 3*g + 2*i, -g = 3*i - 6*i - 11 for g. 2 Let p = -993 - -993. Solve -2*m + 5*b - 24 = p, 4*m = -b - 4 - 0 for m. -2 Let g(b) be the third derivative of b**5/60 + 5*b**4/12 - 19*b**3/6 + 12*b**2. Let l be g(-12). Solve 5*q + 6 = 2*r, -12 = -0*r + l*r + q for r. -2 Let f(h) = h**2 + 10*h - 8. Let q be f(-11). Suppose -120 = q*m + 2*m. Let r be m/20*20/(-6). Solve r*x - 3*a + 4 = -a, a = 5*x + 5 for x. -1 Let j(l) be the third derivative of l**5/30 - l**4/8 - l**3/6 - 40*l**2. Let c be j(-2). Solve -3*f = -5*f - 3*o + c, 3*f = 4*o + 11 for f. 5 Let z be (-4 + 2)/2 + 4. Suppose -u = z*u. Solve -5*n - 20 = 5*i, 2*n + 2*n - i - 9 = u for n. 1 Suppose 2*k + 18 = 2*t - 0*k, 8 = -3*t - 4*k. Let s be 10/t*156/65. Suppose -s*u = -4*u - 6. Solve 9 = u*n, -4*n + 16 = -2*f - 0*n for f. -2 Let b(t) = -2*t - 9. Let a be (3/(2 - -4))/((-3)/36). Let q be b(a). Solve -15 = 5*d - 5*j, d - q*j + 8 = -d for d. -1 Let i(x) = x**2 - 46*x + 398. Let o be i(11). Solve -22 = 2*r + 4*v, 5*r + 3*v + 14 + o = 0 for r. -3 Let v(a) = -a**3 + 43*a**2 - 43*a + 46. Let x be v(42). Solve 0 = x*n - 5*h - 16, 3*h = n + 2*h - 4 for n. 4 Let k = 53 - 29. Suppose -v = -7*v + k. Solve -v*n + z = -z - 16, -5*n - 5*z + 20 = 0 for n. 4 Let t be (((-36)/8)/3 - 0)*-2. Suppose -t*v + 6 = -v. Suppose 27 - 2 = c. Solve 5*r = 5*x - c, -4*x = -v*x - 1 for r. -4 Let y = -129 + 131. Solve h - 6 = -3*x, 0*h + 3*h = -y*x + 11 for h. 3 Let a = 299 + -297. Solve -3*x = 4*n - 24, -3*n + 7 = -2*x + a*n for x. 4 Let u be (-68)/(-85) + (-2)/(-10) - -1. Solve 21 = 5*l - 4*t + u*t, -2*l - 9 = 5*t for l. 3 Suppose 3*d - 159 = -5*n - 24, 2*n - 33 = 3*d. Let w be ((-6)/8)/(((-18)/n)/3). Solve -6 = 5*v - w*j, v = -3*v + 2*j - 6 for v. -3 Let a be ((-18)/4)/((-90)/24 - -3). Let t(w) = w**3 - 5*w**2 - 3*w - 14. Let h be t(a). Solve -c - 1 - 4 = 0, f = h*c + 21 for f. 1 Suppose 3*w - 49 = -13. Suppose 0 = -5*j - 2*g - 0*g + w, 5*g + 4 = -4*j. Solve -c + 14 = -j*q + 6, 2*c - 8 = 0 for q. -1 Let t = -3 + 15. Let f = -1132 - -1160. Solve -2*o + o - t = 2*w, -2*o = 5*w + f for w. -4 Suppose -7*z + 2*z = 0. Let b(d) be the second derivative of -d**5/20 - d**4/4 + d**2 + 18*d. Let c be b(0). Solve 0 = c*a - 6*a, z = l + 3*a - 1 for l. 1 Let r(l) = -l**3 + 9*l**2 - l + 11. Let u be r(9). Let o(c) = -c**2 - 8*c + 13. Let v be o(-9). Solve 9*b - 30 = 5*x + 4*b, -v*x = -u*b + 14 for x. -1 Suppose -g = g - 4. Let j = 10 - 5. Suppose 30*n - 27*n - 6 = 0. Solve 0 = 3*l + g*v - j*v - 9, n*l - 3*v = 9 for l. 0 Let v = 16 - 10. Suppose 5*j + 10 = -2*m - v, -2*j = 4*m. Suppose -m*x + 6 = x. Solve -2*k - 8 = 3*k - 3*f, -x*k - 4*f = -2 for k. -1 Suppose 3*q - 76 = 101. Let f = -56 + q. Solve 17 = -4*o - 3*l, -4*o - 12 = -o + f*l for o. -5 Let t(n) = 3*n - 15. Let w be t(7). Suppose 2*v = 4*v - w. Suppose 0 = -v*u - 3, -5*u - 2 = 3*k - 3. Solve 2*q + 1 = -k*l + q, l + 2*q + 2 = 0 for l. 0 Let q(f) = f**2 + f - 7. Let a be q(-9). Suppose 3*h - 39 = 3*k, h + a = 6*h + 3*k. Solve 3*x + h = -2*w, 0 = -3*x - 0*x - 5*w - 10 for x. -5 Let f(p) = -2*p**2 + 13*p + 15. Let u be f(8). Let v(t) = t**3 + 7*t**2 - 18*t + 3. Let z be v(u). Solve 5*l = -z*w, -2*l = w - 2*w - 11 for l. 3 Let q(d) = 3*d - 13. Let b be q(5). Let u(g) = -5*g**2 + 4*g - 7. Let v be u(b). Let c = v + 24. Solve w + 4*w = c*f, -30 = 2*w + 4*f for w. -5 Suppose -5 + 24 = r + 5*t, 0 = -2*r - 4*t + 68. Let k = r + -37. Solve -2*m - 20 = -5*b, -k = 4*m - m + 4*b for m. -5 Let l = 256 + -251. Let w = -4 - -9. Suppose 5*f - 10 = -2*t, 3*f - 2 = 2*f - 5*t. Solve l = -w*o, -f*q - 5*o = 3*q + 25 for q. -4 Let q(a) = -a + 5. Let t be q(6). Let p be (2 + (t - 1))/(-5). Solve p = -n + 4*d - 10, -3*n + 4*d = -7*n for n. -2 Let k be (3 + -2)*(13 - 13). Let w be (2 + -1)/(3/12). Suppose -w = 4*g - 16. Solve -5*j + 23 = 3*p - k*j, g = -p + j for p. 1 Let a = 59 + -3. Let l be (a/21)/((-2)/(-6)). Suppose 0 = -l*f + 11*f - 12. Solve f = -4*g - 3*j, -5*g + 4*j = -j + 40 for g. -4 Suppose -3*j + 12 = -0*j. Solve -2*t = 5*z + 20, j*t - 4*z + 13 - 1 = 0 for t. -5 Let n be 9 - 9 - (-184)/8. Solve 4*t - 5*v = -n + 2, 3*v + 5 = -2*t for t. -4 Let t be ((-8)/3)/((-3)/(18/4)). Let h = -41 + 58. Solve c + h = -t*l, -c - c = 2*l + 4 for c. 3 Let b(j) = -j**3 + j**2 + 2*j + 2. Let q be b(2). Solve q*y - 5*w + 3 = -8, 4*w - 16 = 4*y for y. -3 Let s(x) = x**3 - 5*x**2 - 5*x + 1. Let f be s(6). Let q = -42 + 46. Solve q*y - 4 = -4*w, -4*y + f = 4*w - y for w. 4 Suppose f - 75 - 79 = 0. Suppose 8*k - f = -18. Solve k = d + 5*w, -4 - 8 = -4*w for d. 2 Let y = -216 - -219. Let m be 2/(-1 + 9/6). Solve 3*z = l, -m*l + 4*z = y*z + 11 for l. -3 Suppose 2*t + 24 = -0*t. Let d = t + 29. Solve -2*w - 3*g - 14 = 0, 4*w + 5 = -3*g - d for w. -4 Suppose 8*t - 3 = 13. Suppose -n - t = -2*n. Solve 0 = 5*f - n*v + v - 21, -f + 2*v = 3 for f. 5 Let m = -263 + 266. Solve -4*s = m*z - 12 - 7, -3*z + 23 = 5*s for s. 4 Suppose -7 + 1 = -f. Solve -u - f = -3*a + 2*u, -2*a = -3*u - 9 for a. -3 Let z(t) = -t**3 - 10*t**2 + t + 5. Let h be z(-10). Let a be (3*-1)/(-3*h/(-20)). Solve 12 = 5*p + 2*u, -3*p - 3*u - 16 = -a*p for p. 4 Suppose -4*o + 4*t + 24 = 0, -4*o + 5*t - 15 = -41. Suppose -u - 49 = -o*a, -2*a + u = -a - 13. Solve 0 = -2*g - 2*q - a, 0*g - 3*g = -q + 10 for g. -4 Let l(y) = -6*y. Suppose 0*r + r = -4*c + 2, -2*r = 4*c. Let s be l(c). Let x be (0 + s)/((-3)/20). Solve -21 + 8 = 4*i - 5*f, -x = -5*i - 5*f for i. 3 Let m be (8/(-6))/((-1)/3). Let w(g) = g**2 - 19*g + 23. Let d be w(18). Solve -7 = t + r, -m*r = -d*t + r + 5 for t. -3 Suppose 51*b - 828 = -18*b. Solve -3*u + b = u + 5*i, 20 = 5*i for u. -2 Let a(z) = -z**3 + z**2. Let q be a(1). Suppose 4*w - 1 - 7 = q. Solve 3*c = -w*p + 4, 2*p - c + 20 = 2*c for p. -4 Suppose -2 = -j + 4. Let u be 9 - (1 + 1) - 3. Suppose -j = -2*d - d - 2*h, -3*h = 2*d - u. Solve f - 5 = -3*s, -s - d*f - f + 7 = 0 for s. 1 Suppose p = 5*j - 17, 2*j + 5 = p + 10. Solve 3*n = p*x - 7*x + 1, 2*x = 2*n - 10 for n. 3 Let v be (-6)/(-2) + 6/(-2). Solve -o = 4*g + 2, -3*o + 4*g - 4 - 2 = v for o. -2 Let o = 205 + -195. Solve -x + 0*x = -2*z - 10, 3*x + o = -2*z for z. -5 Let b(u) = -12*u + 304. Let d be b(25). Solve i - 4*l = 8, 2*l = -2*l - d for i. 4 Suppose 3*a = 5*g - 35, 3*g + g - 4*a - 28 = 0. Let w = 58 - 48. Let z be (-1)/(-5) + ((-2)/w)/1. Solve 4*n + 0 = 2*x + 10, z = 2*n - 5*x + g for n. 4 Let t = -80 + 86. Solve -p + 0*p - t = -5*h, 0 = -4*h - 5*p - 1 for h. 1 Suppose -6*w - 18 = -4*b - 4*w, 5*b = w + 18. Solve 5*p + b = 3*z, -5 = 3*p - p - 5*z for p. 0 Let s(d) be the third derivative of 3*d**5/20 - d
{ "pile_set_name": "DM Mathematics" }
2, -473, -488, -459, -368, -197? 3*s**3 - 23*s**2 + 9*s - 333 What is the z'th term of -251867, -503765, -755663, -1007561, -1259459, -1511357? -251898*z + 31 What is the b'th term of 138595, 138554, 138507, 138454? -3*b**2 - 32*b + 138630 What is the w'th term of -4221, -10295, -16369, -22443, -28517, -34591? -6074*w + 1853 What is the x'th term of 1309, 5209, 11693, 20743, 32341, 46469, 63109, 82243? -3*x**3 + 1310*x**2 - 9*x + 11 What is the y'th term of 2933874, 2933892, 2933910, 2933928, 2933946, 2933964? 18*y + 2933856 What is the l'th term of -2740, -2784, -2768, -2662, -2436, -2060, -1504, -738? 5*l**3 - 79*l - 2666 What is the m'th term of -115107, -460410, -1035915, -1841622, -2877531, -4143642, -5639955? -115101*m**2 - 6 What is the n'th term of 2011, 3889, 5641, 7267, 8767, 10141? -63*n**2 + 2067*n + 7 What is the p'th term of -150226, -150456, -150688, -150922? -p**2 - 227*p - 149998 What is the a'th term of 39615, 155360, 348277, 618372, 965651, 1390120, 1891785? a**3 + 38580*a**2 - 2*a + 1036 What is the p'th term of 46653, 46351, 46045, 45735, 45421, 45103, 44781? -2*p**2 - 296*p + 46951 What is the i'th term of 224278, 448788, 673532, 898510, 1123722? 117*i**2 + 224159*i + 2 What is the x'th term of 1693, 3314, 4929, 6532, 8117, 9678, 11209? -x**3 + 3*x**2 + 1619*x + 72 What is the d'th term of -931941, -1863881, -2795821? -931940*d - 1 What is the g'th term of 438244, 876461, 1314678, 1752895, 2191112, 2629329? 438217*g + 27 What is the j'th term of -349, -2839, -9619, -22837, -44641, -77179, -122599, -183049? -358*j**3 + 3*j**2 + 7*j - 1 What is the f'th term of -429030, -429887, -430744, -431601? -857*f - 428173 What is the t'th term of 2427694, 4855387, 7283080, 9710773, 12138466? 2427693*t + 1 What is the c'th term of 12186897, 24373792, 36560687, 48747582? 12186895*c + 2 What is the y'th term of -413565, -826806, -1240023, -1653210, -2066361? y**3 + 6*y**2 - 413266*y - 306 What is the b'th term of -3420950, -6841896, -10262842, -13683788, -17104734, -20525680? -3420946*b - 4 What is the i'th term of 1764963, 1764967, 1764973, 1764981, 1764991? i**2 + i + 1764961 What is the g'th term of -1833454, -1833120, -1832786? 334*g - 1833788 What is the j'th term of 559, 4722, 16073, 38206, 74715, 129194? 599*j**3 - 30*j - 10 What is the p'th term of -7561, -7057, -6553, -6049? 504*p - 8065 What is the z'th term of 66116, 132117, 198120, 264125, 330132, 396141, 462152? z**2 + 65998*z + 117 What is the r'th term of 108330, 108352, 108388, 108438, 108502? 7*r**2 + r + 108322 What is the v'th term of -3513, -2986, -2101, -858, 743? 179*v**2 - 10*v - 3682 What is the r'th term of -508247, -508468, -508693, -508922? -2*r**2 - 215*r - 508030 What is the b'th term of -749587, -2998219, -6745941, -11992753, -18738655? -749545*b**2 + 3*b - 45 What is the l'th term of -2805594, -5611005, -8416418, -11221833? -l**2 - 2805408*l - 185 What is the k'th term of -7972154, -7972151, -7972148? 3*k - 7972157 What is the s'th term of 56620553, 56620552, 56620551, 56620550, 56620549, 56620548? -s + 56620554 What is the v'th term of 43115166, 43115165, 43115174, 43115199, 43115246, 43115321, 43115430? v**3 - v**2 - 5*v + 43115171 What is the n'th term of 4699, 4773, 4847, 4921, 4995, 5069? 74*n + 4625 What is the r'th term of 136194276, 136194277, 136194278, 136194279? r + 136194275 What is the z'th term of 9739, 12214, 14693, 17176? 2*z**2 + 2469*z + 7268 What is the k'th term of -25544, -26399, -27254? -855*k - 24689 What is the m'th term of -1667, -5872, -12627, -21926, -33763, -48132, -65027? m**3 - 1281*m**2 - 369*m - 18 What is the r'th term of 220039, 444370, 668687, 892984, 1117255, 1341494, 1565695, 1789852? -r**3 - r**2 + 224341*r - 4300 What is the l'th term of -936, -3799, -8572, -15255, -23848, -34351? -955*l**2 + 2*l + 17 What is the x'th term of -2978856, -5957728, -8936598, -11915466, -14894332, -17873196, -20852058? x**2 - 2978875*x + 18 What is the x'th term of 58454, 233960, 526468, 935972, 1462466, 2105944, 2866400, 3743828? -x**3 + 58507*x**2 - 8*x - 44 What is the m'th term of 1269, 6798, 21787, 50964, 99057, 170794, 270903? 788*m**3 + 2*m**2 + 7*m + 472 What is the p'th term of 1240736, 1240736, 1240734, 1240730, 1240724? -p**2 + 3*p + 1240734 What is the y'th term of 366242, 732659, 1099076, 1465493, 1831910, 2198327? 366417*y - 175 What is the d'th term of 52141, 52054, 51967, 51880, 51793, 51706? -87*d + 52228 What is the a'th term of 31340, 125814, 283420, 504158, 788028, 1135030? 31566*a**2 - 224*a - 2 What is the a'th term of 3810, 8159, 13580, 20601, 29750? 88*a**3 + 8*a**2 + 3709*a + 5 What is the b'th term of 104780314, 209560639, 314340968, 419121301, 523901638? 2*b**2 + 104780319*b - 7 What is the o'th term of 1960, 2080, 2392, 2992, 3976, 5440? 16*o**3 + 8*o + 1936 What is the q'th term of 163196236, 326392470, 489588702, 652784932? -q**2 + 163196237*q What is the m'th term of 1279, 2551, 3819, 5101, 6415? 3*m**3 - 20*m**2 + 1311*m - 15 What is the x'th term of 2257105, 4514214, 6771323, 9028432, 11285541, 13542650? 2257109*x - 4 What is the o'th term of -43195, -86301, -129409, -172519? -o**2 - 43103*o - 91 What is the z'th term of 211, 555, 1105, 1861, 2823, 3991? 103*z**2 + 35*z + 73 What is the b'th term of -24324, -20768, -17212, -13656, -10100, -6544? 3556*b - 27880 What is the h'th term of -10894927, -21789842, -32684753, -43579660? 2*h**2 - 10894921*h - 8 What is the b'th term of -132, -1207, -4166, -9957, -19528, -33827, -53802? -158*b**3 + 6*b**2 + 13*b + 7 What is the a'th term of 684, 1493, 2470, 3621, 4952? a**3 + 78*a**2 + 568*a + 37 What is the a'th term of 101946, 203867, 305774, 407667, 509546, 611411, 713262? -7*a**2 + 101942*a + 11 What is the q'th term of 2549, 9201, 15855, 22511, 29169, 35829? q**2 + 6649*q - 4101 What is the r'th term of 1608, 12891, 43430, 102825, 200676, 346583? 1600*r**3 + 28*r**2 - r - 19 What is the h'th term of -22961800, -22961799, -22961798? h - 22961801 What is the d'th term of 289, 867, 1843, 3217? 199*d**2 - 19*d + 109 What is the b'th term of 36, 458, 1748, 4386, 8852? 80*b**3 - 46*b**2 + 2 What is the j'th term of 277446, 277439, 277430, 277419, 277406? -j**2 - 4*j + 277451 What is the g'th term of 1506, 3513, 6526, 11049, 17586, 26641? 84*g**3 - g**2 + 1422*g + 1 What is the f'th term of -9767, -9711, -9619, -9473, -9255, -8947, -8531? 3*f**3 + 35*f - 9805 What is the m'th term of 137021831, 137021829, 137021827? -2*m + 137021833 What is the z'th term of -19, -593, -2105, -5023, -9815, -16949? -78*z**3 - z**2 - 25*z + 85 What is the q'th term of 3459, 7974, 15453, 25896, 39303? 1482*q**2 + 69*q + 1908 What is the p'th term of 17781972, 17781964, 17781950, 17781930, 17781904, 17781872? -3*p**2 + p + 17781974 What is the o'th term of -1062817, -2125645, -3188485, -4251337, -5314201? -6*o**2 - 1062810*o - 1 What is the s'th term of -16852, -17063, -17290, -17533, -17792, -18067, -18358? -8*s**2 - 187*s - 16657 What is the h'th term of -609756, -609745, -609736, -609729, -609724, -609721, -609720? -h**2 + 14*h - 609769 What is the c'th term of -15557, -32412, -49267, -66122? -16855*c + 1298 What is the p'th term of -48485, -48580, -48675, -48770? -95*p - 48390 What is the z'th term of -24780, -23831, -22884, -21939? -z**2 + 952*z - 25731 What is the f'th term of -5303, -21117, -47449, -84299, -131667? -5259*f**2 - 37*f - 7 What is the z'th term of 1296, 958, 544, 54, -512, -1154, -1872? -38*z**2 - 224*z + 1558 What is the x'th term of 176, 2296, 8070, 19328, 37900, 65616, 104306? 305*x**3 - 3*x**2 - 6*x - 120 What is the m'th term of -1070, -1627, -2226, -2867? -21*m**2 - 494*m - 555 What is the v'th term of 579030, 579139, 579270, 579435, 579646, 579915? 2*v**3 - v**2 + 98*v + 578931 What is the a'th term of -17611287, -17611268, -17611249? 19*a - 17611306 What is the y'th term of 752534, 6020194, 20318114, 48161420, 94065238, 162544694, 258114914? 752521*y**3 + 4*y**2 + y + 8 What is the w'th term of 1170533, 1170512, 1170463, 1170374, 1170233? -2*w**3 - 2*w**2 - w + 1170538 What is the d'th term of 4833627, 19334501, 43502637, 77338041, 120840719, 174010677, 236847921? d**3 + 4833625*d**2 - 8*d + 9 What is the v'th term of -344028307, -688056615, -1032084923, -1
{ "pile_set_name": "DM Mathematics" }
1 Let f = -6166 + 3504. Suppose 5*r + 8 = -2*z + z, 5*z + 5*r = 0. Let l be f/(-7) + z/(-7). What is l rounded to the nearest one hundred? 400 Let c(f) = 1621*f - 3. Let u be c(2). Suppose 3*l - 1111 = u. Round l to the nearest one hundred. 1500 Let c = 202 + -112. Round c to the nearest 100. 100 Let h = 0.04 + -5.04. Let f = -6.83 - h. What is f rounded to 1 dp? -1.8 Let k = -0.06100554 - -0.061. Round k to six decimal places. -0.000006 Let k = -405 - -405.0000213. What is k rounded to 6 dps? 0.000021 Let p = 15 + 3. Let i = p - 18.00066. What is i rounded to 4 decimal places? -0.0007 Let q = 4680.070018 - 4679.27. Let c = 15.8 - 15. Let o = c - q. What is o rounded to 5 dps? -0.00002 Let x = 43.6 - -10.4. Let j = -6241.372471 - -6187.3725. Let k = x + j. Round k to 5 decimal places. 0.00003 Let n = 0.036 - 52.036. Let g = n + 51.14. Let f = g - -0.16. What is f rounded to zero decimal places? -1 Let j = -3.875 + 3.7. What is j rounded to two dps? -0.18 Let a = -497.91 + 500. Let g = a + 0.31. Let v = 2.40000085 - g. What is v rounded to seven decimal places? 0.0000009 Let m = 1162367 - 676367. Round m to the nearest one hundred thousand. 500000 Let g = -1.03000165 - -1.03. What is g rounded to seven decimal places? -0.0000017 Let s be 2*(3/(-3) + 4). Let t be 65/(-2)*(2 - s). What is t rounded to the nearest 100? 100 Let t = 4 + 2. Let m = -81129 + 81135.0001. Let o = m - t. What is o rounded to 4 dps? 0.0001 Let w(i) = -3*i - 2. Let c be w(-4). Let k = c - 4. Suppose -u + 551 = -z, 0 = -3*z + k*z + 2*u + 1648. What is z rounded to the nearest 100? -600 Suppose 2*x = -108217 + 644257. Suppose -2*v + 1699996 = -5*i, -3*i + 5*v - 751970 = x. Round i to the nearest 100000. -300000 Let b = -5 - 0. Let d = -5 - b. Suppose 4*i - 2*i - 13200 = d. Round i to the nearest 1000. 7000 Let b = 43 - 43. Round b to the nearest one million. 0 Let b = -4.150501 + 100578.130501. Let t = -100573.77000055 + b. Let p = t - 0.21. What is p rounded to 7 dps? -0.0000006 Let y = -127 + 142.4. What is y rounded to 0 decimal places? 15 Let w(i) = -2*i - 168000. Let y be -2 - (1 - (-2 + 5)). Let l be w(y). Round l to the nearest ten thousand. -170000 Let i = 92.0000148 - 92. What is i rounded to 6 decimal places? 0.000015 Let g = 1590 + -1590.723. What is g rounded to one dp? -0.7 Let g = -1.37 + 2.16. Let b = -0.75 - -0.05. Let m = g + b. What is m rounded to one decimal place? 0.1 Let z = -193374 + 69698. Let k = -123675.599974 - z. Let q = -0.4 + k. What is q rounded to 5 dps? 0.00003 Let m = 1.097913 + -1.12391354. Let n = m + 0.026. Round n to 7 dps. -0.0000005 Let m = 94.99999665 + -95. What is m rounded to seven dps? -0.0000034 Let h = 3850 - 4164.3. Let u = -335 - h. What is u rounded to the nearest integer? -21 Suppose 3*i - 3*d + 0 + 18 = 0, d + 14 = -i. Let m be 72/i - 4/(-20). Let n(t) = 6*t**2 - t + 9. Let j be n(m). Round j to the nearest one hundred. 300 Let t = -3.05 + -3.79. Round t to 1 dp. -6.8 Let p = 1659086.8982 - 271406.4952. Let t = p + -1387672.40300033. Let a = t - 8. Round a to seven dps. -0.0000003 Let c = 13 - 13. Suppose 0 = -2*m + w + 40200, c*m + 2*w = 5*m - 100500. Round m to the nearest 1000. 20000 Let t = -326534 - -326530.80214. Let r = t + 3.2. Round r to four dps. 0.0021 Suppose 3*a + 5638 = 26038. What is a rounded to the nearest one thousand? 7000 Let l = 6793 - 7153.1. Let n = l + 322. Let f = n + 34. Round f to the nearest integer. -4 Let n = -4.04 - -0.04. Let m = n + 3.9. Let k = 0.0999985 + m. What is k rounded to 6 dps? -0.000002 Let j be -460 + (-1 - 8/4). Let f = 1057 - j. What is f rounded to the nearest one hundred? 1500 Let f = 7 - 3. Let q = -0.9 - 3.115. Let m = q + f. Round m to three decimal places. -0.015 Let k = 0.1 + -0.100064. What is k rounded to five dps? -0.00006 Let d = 113 - 113.81. Round d to one dp. -0.8 Suppose -2*x = -5*x - 2*u + 3, -5*x + u + 18 = 0. Suppose 0*m + 4219996 = 2*m. Let r be -1 + 0 + x + m. Round r to the nearest one hundred thousand. 2100000 Let i = 7108.25600979 - 7070.25601. Let c = -2.9 + 40.9. Let h = c - i. What is h rounded to seven decimal places? 0.0000002 Let d = -16 + 59. Let g = 108137476 + -108137433.0000047. Let r = d - g. What is r rounded to six dps? 0.000005 Let k = 80.761864 + -137.761927. Let h = 57 + k. What is h rounded to five dps? -0.00006 Let b = -64.921 + -0.079. Let r = b - -64.999922. What is r rounded to five dps? -0.00008 Suppose -5*w + h + 4465644 = 82965648, h = 4. What is w rounded to the nearest 1000000? -16000000 Let r = -0.097 + 0.166. Let f = 0.06 - r. What is f rounded to 3 decimal places? -0.009 Let p = -17100 - -17100.074232. Let h = p + -3.073932. Let a = h + 3. Round a to four dps. 0.0003 Suppose -4*o + 18 = 6. Suppose o*p + 201341706 = -5*y - 0*p, 3*y + 4*p = -120805028. Let a = y + 28668340. Round a to the nearest 1000000. -12000000 Let v = -5.41 + -0.69. What is v rounded to 0 decimal places? -6 Let q(s) = 31200*s**3 + 2*s**2 + 12*s + 10. Let o be q(-5). What is o rounded to the nearest one million? -4000000 Let a = -2746097 + 2746080.60111. Let z = -28.4 + 12. Let u = z - a. What is u rounded to 4 dps? -0.0011 Let v = -464126.1700104 + 464126. Let y = -0.17 - v. Round y to six dps. 0.00001 Let u = -66076 + 46776. Round u to the nearest ten thousand. -20000 Let c = -6508491017102 - -6508490228515.9199898. Let n = -788586 - c. Let o = -0.08 + n. What is o rounded to six decimal places? 0.00001 Suppose 15 = 4*d - 41. Let f(y) = -y**2 - 4*y + 4. Let s be f(-3). Let i = s - d. Round i to 0 dps. -7 Let o = 1.419999827 + -1.42. Round o to 7 dps. -0.0000002 Let h = -0.864 + 0.86399623. Round h to 7 decimal places. -0.0000038 Let d = -22.3 + 22.2999005. What is d rounded to five decimal places? -0.0001 Let k be -1 - (3 - (0 - -1)). Let p be 807277*3*k/(-9). Let i = -1357277 + p. What is i rounded to the nearest 100000? -600000 Let c = 0.08 + 12.92. Let d = -32 + c. Let a = d - -18.99987. Round a to four decimal places. -0.0001 Let h = -1445809.00018 + 1445787. Let c = -22 - h. What is c rounded to 4 decimal places? 0.0002 Let s = -184 - -183.94184. Let y = s + 0.06. Round y to 4 dps. 0.0018 Let s = 3 - 2.85. Let m = 0.178 - s. Let w = m - -0.003. Round w to 2 dps. 0.03 Let l = -6 + 6.0000046. Round l to six decimal places. 0.000005 Let i = 0.853 - 0.013. What is i rounded to zero dps? 1 Let r = -7 + 13. Let s(x) = 43*x**3 - 8*x**2 + x - 6. Let w be s(r). Round w to the nearest ten thousand. 10000 Let o be ((-8)/12)/(1/68)*-412500. What is o rounded to the nearest one million? 19000000 Let v = 5169112 - 5169108.999987. Let d = -3 + v. Round d to five dps. 0.00001 Let d = -15.27 + 0.27. Let g = d + -2. Let f = g + 16.958. What is f rounded to 2 decimal places? -0.04 Let d = 167.96 + -165. Let c = 9 - 9.16. Let o = d + c. What is o rounded to the nearest integer? 3 Let l = -6 - -11. Let n = -5.0000004 + l. What is n rounded to 7 dps? -0.0000004 Let w = -6 - -6. Suppose 0 = b - 5*b + 20, 3*r + 4*b - 20 = w. Let j be 40/(1/975 - r). What is j rounded to the nearest 10000? 40000 Let t be 1/(3/(-9)) - 31. Round t to the nearest 10. -30 Let y = -675037.9947 + 675006. Let t = -32 - y. Round t to 3 dps. -0.005 Let i = -38783 + 94683. What is i rounded to the nearest ten thousand? 60000 Let r = 0.869528 + -0.87. Round r to 4 decimal places. -0.0005 Let k = 0.0626 - 0.058. What is k rounded to three decimal places? 0.005 Let l = 9720 - 9826.33. Let t = l + 107. What is t rounded to one dp? 0.7 Let x = 1169.3435 + -1169. Let b = 0.269 - x. Let j = b - -0.08. Round j to 3 dps. 0.006 Let v(p) = 16*p - 2. Let b be v(11). What is b rounded to the nearest 10? 170 Let d be (-219604)/(-12) - 3/9. Round d to the nearest one thousand. 18000 Let c = -70211 - -70210.9700004. Let t = 0.03 + c. Round t to six dps. 0 Let o = -4357 - 202643. What is o rounded to the nearest 10000? -210000 Let f = -0.05697307 - 4.94304093. Let w = f + 5. Round w to 6 dps. -0.000014 Let s = -126.97 + 102.214. Let q = s - -25. Round q to two dps. 0.24 Let q be (2 + (-290007)/4)*-8. Suppose 3*c - 5*c - q = l, -3*c = -4*l - 2320003. Round l to the nearest 100000. -600000 Let o = -0.29 + 0.29058. What is o rounded to 4 decimal places? 0.0006 Let u = 64 + -19. Let a = u - 32. Let k = 13.24 - a. Roun
{ "pile_set_name": "DM Mathematics" }
es are there in 19/4 of a litre? 4750 What is 6064.723 micrometers in kilometers? 0.000006064723 How many meters are there in three fifths of a kilometer? 600 What is 4.549252ml in litres? 0.004549252 How many microseconds are there in 2/125 of a second? 16000 What is 339.976ug in kilograms? 0.000000339976 How many micrometers are there in seven sixteenths of a centimeter? 4375 How many milligrams are there in 0.108177kg? 108177 How many micrometers are there in 13/5 of a centimeter? 26000 Convert 1404.6246 months to millennia. 0.11705205 How many years are there in six fifths of a millennium? 1200 How many litres are there in 187.3545 millilitres? 0.1873545 How many nanoseconds are there in 9659.462 minutes? 579567720000000 How many nanoseconds are there in 769.4662 hours? 2770078320000000 What is 9.504214 nanograms in tonnes? 0.000000000000009504214 How many centimeters are there in fifteen quarters of a meter? 375 What is 1/4 of a litre in millilitres? 250 Convert 161.8056216ms to weeks. 0.00000026753575 How many months are there in one quarter of a century? 300 What is seven eighths of a milligram in micrograms? 875 How many nanoseconds are there in fifteen quarters of a microsecond? 3750 What is 43/2 of a millennium in years? 21500 How many minutes are there in nine tenths of a week? 9072 What is 4527.598kg in grams? 4527598 What is 201.1017 years in centuries? 2.011017 How many millilitres are there in eleven halves of a litre? 5500 What is 3.837845l in millilitres? 3837.845 What is 938597.5ml in litres? 938.5975 Convert 4628.381 nanograms to tonnes. 0.000000000004628381 How many millilitres are there in three tenths of a litre? 300 How many nanoseconds are there in 219.9397 days? 19002790080000000 How many micrometers are there in seventeen tenths of a millimeter? 1700 Convert 3770.438 years to millennia. 3.770438 Convert 43091.4 centimeters to kilometers. 0.430914 How many litres are there in 840.407 millilitres? 0.840407 How many years are there in 3/50 of a millennium? 60 What is 96.84 minutes in days? 0.06725 How many years are there in 57/2 of a decade? 285 What is 1.452736us in seconds? 0.000001452736 What is 41/2 of a gram in milligrams? 20500 What is 0.944587km in millimeters? 944587 Convert 809.613 nanometers to kilometers. 0.000000000809613 How many minutes are there in 2.128445 days? 3064.9608 What is 57068.4 years in millennia? 57.0684 What is three eighths of a litre in millilitres? 375 How many millilitres are there in nine tenths of a litre? 900 What is 0.7391856m in millimeters? 739.1856 What is 11/8 of a litre in millilitres? 1375 What is 3102.051 centuries in months? 3722461.2 Convert 7.242229 nanometers to micrometers. 0.007242229 How many litres are there in 1425.818ml? 1.425818 What is 836.7533 kilograms in micrograms? 836753300000 What is 1/4 of a week in minutes? 2520 How many nanoseconds are there in 1.404899us? 1404.899 What is 0.9690536 hours in seconds? 3488.59296 What is 49/5 of a century in decades? 98 How many months are there in seventeen sixths of a century? 3400 What is 1/6 of a minute in milliseconds? 10000 How many years are there in 96664.41 centuries? 9666441 How many milliseconds are there in 7/4 of a second? 1750 What is six fifths of a centimeter in micrometers? 12000 How many nanometers are there in twenty-one eighths of a micrometer? 2625 What is 1/10 of a microsecond in nanoseconds? 100 What is fifty-one quarters of a century in months? 15300 Convert 27394.74 millilitres to litres. 27.39474 How many seconds are there in two fifteenths of a day? 11520 How many millimeters are there in 6/5 of a meter? 1200 How many millilitres are there in 13/5 of a litre? 2600 How many centimeters are there in 79/2 of a meter? 3950 How many micrograms are there in 65985.17 milligrams? 65985170 How many minutes are there in 113.46237us? 0.0000018910395 How many decades are there in twenty-one fifths of a century? 42 How many micrograms are there in 82.3045 nanograms? 0.0823045 How many minutes are there in three tenths of a day? 432 How many seconds are there in 5/6 of a hour? 3000 What is 17/2 of a meter in centimeters? 850 What is 0.4983285 milliseconds in microseconds? 498.3285 What is three fifths of a litre in millilitres? 600 What is seven eighths of a milligram in micrograms? 875 What is 9/10 of a meter in centimeters? 90 What is 3/8 of a millennium in years? 375 What is 29/2 of a century in decades? 145 How many kilograms are there in thirty-two fifths of a tonne? 6400 What is 1396.0674 seconds in hours? 0.3877965 What is 25.2996 seconds in milliseconds? 25299.6 How many millilitres are there in thirteen fifths of a litre? 2600 What is three tenths of a minute in seconds? 18 What is 3/50 of a litre in millilitres? 60 What is 3/5 of a centimeter in micrometers? 6000 How many minutes are there in three eighths of a day? 540 How many millilitres are there in 151264.8 litres? 151264800 What is one fifth of a litre in millilitres? 200 How many meters are there in 809.6102 nanometers? 0.0000008096102 How many hours are there in 3/7 of a week? 72 What is 9/10 of a decade in months? 108 What is 6/5 of a millennium in years? 1200 Convert 788.5737 days to microseconds. 68132767680000 How many nanograms are there in twenty-nine halves of a microgram? 14500 What is twenty-seven halves of a centimeter in millimeters? 135 What is three fifths of a centimeter in micrometers? 6000 How many millilitres are there in six fifths of a litre? 1200 How many months are there in 7/8 of a century? 1050 Convert 69.25001 millilitres to litres. 0.06925001 How many micrometers are there in 3/50 of a centimeter? 600 How many millilitres are there in 2/125 of a litre? 16 What is 0.6925787 years in months? 8.3109444 What is 7/25 of a meter in centimeters? 28 How many seconds are there in 2/27 of a day? 6400 How many millimeters are there in 51/5 of a centimeter? 102 Convert 68517.67mg to grams. 68.51767 How many months are there in fifty-two thirds of a year? 208 How many millimeters are there in seven halves of a meter? 3500 How many seconds are there in ten thirds of a hour? 12000 What is 5/6 of a week in minutes? 8400 How many millilitres are there in eleven halves of a litre? 5500 How many micrometers are there in one tenth of a centimeter? 1000 What is 93514.65 centuries in months? 112217580 How many millilitres are there in fifty-seven fifths of a litre? 11400 What is 8.462824ml in litres? 0.008462824 How many micrograms are there in 56.19687mg? 56196.87 What is 26/5 of a tonne in kilograms? 5200 How many nanograms are there in twenty-five halves of a microgram? 12500 How many millimeters are there in 20.9381 micrometers? 0.0209381 How many litres are there in 6.832527ml? 0.006832527 How many millimeters are there in twenty-nine halves of a centimeter? 145 How many millimeters are there in 53/5 of a meter? 10600 What is 415.7878 millennia in centuries? 4157.878 What is 2/45 of a day in seconds? 3840 What is 14007.23 milligrams in nanograms? 14007230000 How many tonnes are there in 84486.9 kilograms? 84.4869 Convert 5583.576ns to seconds. 0.000005583576 What is 247.2322 millennia in months? 2966786.4 How many grams are there in fifteen quarters of a kilogram? 3750 What is 1/20 of a gram in milligrams? 50 Convert 94801.81 millennia to centuries. 948018.1 What is 24.09744us in minutes? 0.000000401624 What is 12/25 of a micrometer in nanometers? 480 Convert 1605.203 nanograms to kilograms. 0.000000001605203 What is twenty-one fifths of a litre in millilitres? 4200 What is one quarter of a millennium in decades? 25 Convert 27281.14 minutes to nanoseconds. 1636868400000000 How many years are there in 532.996 centuries? 53299.6 What is seven halves of a meter in millimeters? 3500 What is 37/2 of a kilometer in meters? 18500 How many minutes are there in 5/6 of a day? 1200 What is 0.5353056 weeks in days? 3.7471392 Convert 22.39348cm to millimeters. 223.9348 How many nanograms are there in 71.88913 kilograms? 71889130000000 What is fifty-one quarters of a gram in milligrams? 12750 How many months are there in 7/4 of a millennium? 21000 What is thirteen fifths of a second in milliseconds? 2600 How many micrometers are there in seven qu
{ "pile_set_name": "DM Mathematics" }
What is the biggest value in 0.4, -17, -95/9084? 0.4 What is the sixth biggest value in 8/7, -45, 0, -0.2, 335, -3? -45 Which is the fifth smallest value? (a) -0.01 (b) 23/54 (c) 17 (d) -6 (e) 3 c Which is the second biggest value? (a) 1/5 (b) -0.3382 (c) 1 (d) -13 (e) 43 c Which is the second smallest value? (a) -5 (b) -0.1 (c) 2404911 b What is the biggest value in -697/117, -2/9, -3? -2/9 Which is the second smallest value? (a) 2/15 (b) -35 (c) 16 (d) -3 (e) 5 (f) 0 d What is the fourth smallest value in 94621, -2/3, -4, -0.3, -2/7? -2/7 What is the biggest value in 3693477, -0.5, 16/3? 3693477 Which is the fourth smallest value? (a) -3 (b) -5 (c) 2561046 (d) 3/4 c What is the fourth biggest value in -1/10, 230, 380, 3, -2/17, 2/3, 0.2? 2/3 What is the smallest value in -0.274885, -160, -4? -160 Which is the fourth smallest value? (a) 0 (b) -0.2 (c) -13 (d) -1472 (e) 17/2 (f) 3 (g) 1 a What is the fourth biggest value in 2/11, -4/747, -95, -0.5, -2, 1/7, -1? -0.5 What is the fourth smallest value in -2/43, 1.246, 4, 0.03? 4 What is the sixth biggest value in 9, 0.5, -7.6, 2/7, -0.1, -0.5, 268? -0.5 Which is the second biggest value? (a) -1 (b) 0.2 (c) -3.78 (d) -0.26282 d What is the sixth biggest value in 6/5, 0.3, 2, -5, -7, -0.7, 166? -5 What is the second smallest value in -0.65801, -7/26, 1? -7/26 What is the seventh smallest value in -2, 0.1, 19048, 2, -2/15, -2/13, -5/7? 19048 Which is the third biggest value? (a) 1/39 (b) -1 (c) -1/3 (d) -80 (e) 5 (f) 1/4 (g) 7/78 g What is the fourth biggest value in 4, -5, 1/4, 4741622? -5 What is the third smallest value in -0.4, 0.11675, 172? 172 Which is the third smallest value? (a) 2/1717 (b) -0.81 (c) 0.2 (d) -0.058 a What is the fifth smallest value in -192.2, 13, 0.3, -7, 2? 13 Which is the biggest value? (a) -4 (b) 5.765 (c) -11.4 b What is the sixth smallest value in 0.1, -0.2, 6, -1.362, -4, 1/5? 6 Which is the fifth biggest value? (a) 2/13 (b) 3/14 (c) 6 (d) 21/38 (e) 25 a Which is the third biggest value? (a) 22/7 (b) 0.4 (c) 8015 (d) 5 a What is the fifth biggest value in 2, -83/5, -1.6, 6, -0.6, -2, -3? -2 What is the biggest value in -23, 1, -820, -7/6? 1 Which is the biggest value? (a) 1689.6 (b) -245 (c) 0.1 (d) -3 a Which is the third biggest value? (a) 1/3 (b) 2 (c) 372 (d) 6090 (e) -3 (f) 4/3 b What is the fourth smallest value in 563, 12, 3/2, -0.246, 3? 12 Which is the fourth biggest value? (a) 3 (b) -28 (c) 1/284 (d) 5 (e) -30 (f) -3 f What is the fifth biggest value in 13, 105, 1, 0.2, 1.5? 0.2 What is the second biggest value in -2156, 0.07, -6/11, 529? 0.07 Which is the biggest value? (a) 10 (b) -4 (c) 1 (d) -1.28 (e) 9/2 a Which is the third biggest value? (a) 2/21 (b) 4 (c) -4 (d) 19889 a Which is the third biggest value? (a) -6 (b) -30 (c) -15 (d) 11/10 c What is the third biggest value in 0.1, 5, 340/11? 0.1 Which is the sixth smallest value? (a) -5 (b) -0.0014 (c) -0.2 (d) 21 (e) -2 (f) -0.4 d Which is the third biggest value? (a) -1 (b) -18589158 (c) 2/5 b Which is the second smallest value? (a) 0.2 (b) 0.5 (c) 7 (d) -28.15 (e) -0.05 (f) 0.021 e Which is the second smallest value? (a) -74.76 (b) 1/3 (c) 0 (d) -5 (e) -4 (f) -69 f What is the third smallest value in 17, -0.58, -0.5, -0.948, 2/7? -0.5 What is the third smallest value in 67, 3, 1587555? 1587555 What is the sixth biggest value in 2, 2/3, 11, 39, -1, -9, 1/2? -1 What is the third biggest value in 15, 6308, 2/127? 2/127 What is the sixth smallest value in 0.5, -23, 6, -2/9, 1, 658, 2/7? 6 What is the third smallest value in 69, -3, -2, 2, -0.4, 2/3, 0.099? -0.4 What is the fifth smallest value in -6, -5, 2/17, 188, 6/41? 188 What is the fourth biggest value in -24, 0, -2170/3, 5? -2170/3 Which is the third biggest value? (a) -2 (b) 0 (c) 135234229 a Which is the smallest value? (a) 92 (b) -60 (c) 1 (d) -1/4 (e) -2 (f) -3/70 b Which is the biggest value? (a) -0.1 (b) 0 (c) 0.4 (d) 1 (e) -0.15725 (f) -222 d Which is the third smallest value? (a) -0.11 (b) 2/2166341 (c) 1/5 (d) -0.3 b Which is the second biggest value? (a) 20 (b) -43 (c) -1/6 (d) 0 (e) 96 (f) -2 a Which is the second biggest value? (a) 1.704 (b) 0.5 (c) -0.02 (d) -172 b Which is the second biggest value? (a) 4 (b) -476/5 (c) 4/5 (d) -1/66 c What is the third biggest value in 2, -1/3, -3, 132.3744? -1/3 Which is the second biggest value? (a) 2 (b) -2 (c) 5 (d) 14/11 (e) -20 a What is the second biggest value in 3, 10/13, -0.5, -212, -5, -0.4? 10/13 What is the third biggest value in 57383, 963.5, 2? 2 What is the fifth smallest value in 6.4, -22/3, 2/3, -12, -0.3, -0.05, 3/2? 2/3 What is the fourth smallest value in 2/7, 0, 0.34, -3/22, 1.3, -0.07? 2/7 Which is the smallest value? (a) -1 (b) 6.25 (c) -0.4 (d) 1/7 (e) -0.073 a What is the second biggest value in -0.1, -7, -176, -4, 3, -90? -0.1 Which is the biggest value? (a) -5 (b) 1/5 (c) -1/3 (d) 29 (e) -88 (f) -1.7 (g) 2/3 d Which is the sixth biggest value? (a) -2175 (b) -1/3 (c) 5 (d) -0.1 (e) 1/2 (f) -0.2 a Which is the second smallest value? (a) -3 (b) -5167986 (c) 19/3 a What is the third smallest value in 214, 0.514, -4.5, -3? 0.514 What is the sixth smallest value in -1/3, 2/3, -2, -1/4, 192, 5, 362? 192 What is the biggest value in -4, 4, -0.2, -7/3, 71, 5? 71 Which is the sixth smallest value? (a) -5 (b) 5 (c) 0.07 (d) 67 (e) 2 (f) -0.1 (g) 1/114 b Which is the fifth smallest value? (a) 49 (b) -0.2 (c) -0.3 (d) -23 (e) 55/2 a What is the second smallest value in -1/4, -5, -0.3, 194/15, 0.9? -0.3 What is the third biggest value in 778, 1, -2, -1.337? -1.337 Which is the smallest value? (a) 678/11 (b) -1.3 (c) 1.1 (d) -2/3 b What is the fourth smallest value in -0.035, 3, -2, 1/6, 6, -0.05, 1? 1/6 Which is the third biggest value? (a) -3/47 (b) -1 (c) -3/11 (d) -921 b Which is the fourth biggest value? (a) 2/9 (b) 354 (c) 1.1 (d) -1 (e) 6 (f) -3 a Which is the third biggest value? (a) -0.8 (b) -72.85 (c) -277 (d) 0.4 b Which is the second biggest value? (a) 5 (b) -5 (c) 0.1 (d) -0.2625 (e) 4/5 (f) -2 e Which is the biggest value? (a) 0.3 (b) -1/262630 (c) 0.19 a Which is the second biggest value? (a) 0.2 (b) 0.1 (c) 21/17 (d) -95 (e) 0.4 (f) 218/3 c Which is the biggest value? (a) -1142 (b) -3/4 (c) -1/8 (d) 1 (e) -0.3 d Which is the second smallest value? (a) 1 (b) 124 (c) -0.21 (d) 0.18 (e) 2 (f) 4/5 (g) 35 d Which is the third biggest value? (a) 0.3 (b) -1/4 (c) -23902 (d) 2/7 (e) 2 d Which is the smallest value? (a) -0.0297 (b) -3 (c) 8 (d) 28 b Which is the smallest value? (a) 1/5 (b) 6 (c) -6920912 c What is the second smallest value in -293786, -1/20, -0.07, 0.3? -0.07 What is the sixth smallest value in -1/2, -8, 0.2, 884, 0, -3? 884 Which is the fourth biggest value? (a) 7/4 (b) -21 (c) 3789 (d) -1 (e) -5 e Which is the biggest value? (a) 2/7 (b) -0.1 (c) -1309 (d) -131 a What is the biggest value in -3/8, -4/7, -5/14075036? -5/14075036 Which is the biggest value? (a) -2/7 (b) -1 (c) 95221 (d) 1/7 c What is the third smallest value in -1, 5, 5/3, -46/19, 721? 5/3 Which is the fifth smallest value? (a) -1/2 (b) -2890 (c) -2/11 (d) 1/6 (e) -4/15 d What is the biggest value in 0.1, 1, 53/4, -4, -50? 53/4 Which is the third biggest value? (a) 2/3 (b) -447 (c) 2.078 b What is the smallest value in 1/8, -1/2, 5, -2/987, 172? -1/2 What is the smallest value in -155, -0.1, -4/5, -390, 24, 4? -390 Which is the fifth biggest value? (a) -3 (b) -7 (c) -566 (d) 3 (e) 4 (f) -2 (g) -0.4 a Which is the seventh biggest value? (a) 2/3 (b) 0.1 (c) 16/5 (d) 59 (e) -128/9 (f) -0.1 (g) 0.4 e Which is the third biggest value? (a) 1/395 (b) 3.257 (c) -1.4 c Which is the fourth smallest value? (a) 0.02 (b) 2 (c) 0.1 (d) 149 (e) 51.2 e Which is the biggest value? (a) 0.0193 (b) 3192 (c) -1/4 (d) -4 b Which is the third smallest value? (a) -2 (b) -0.16 (c) -97.09 (d) -0.08 (e) 3 b Which is the third biggest value? (a) 2/95 (b) 103 (c) 3 (d) 1 (e) -33624 d What is the second smallest value in 0.4, 3, -2/3, 4,
{ "pile_set_name": "DM Mathematics" }
7*d**2 + 10*d**4 + 234/7*d**3 - 2/7*d**5 = 0. -3, -2, 1, 38 Let j(p) = p**2 + 3*p - 61. Let n be j(-10). Suppose 0 = 3*k + 7*u - 4*u - 12, n = 2*k + 3*u. Let 0 + 0*g + g**2 - 3/2*g**k = 0. What is g? 0, 2/3 Let s be 7690/(-3076)*44/(-10). Suppose 29/3*p**2 - s*p**3 - 3 - 40/3*p**4 + 17/3*p - 4/3*p**5 = 0. What is p? -9, -1, 1/2 Let d(z) be the first derivative of z**4/6 + 206*z**3/9 + 2600*z**2/3 - 5408*z/3 - 665. Factor d(o). 2*(o - 1)*(o + 52)**2/3 Let s(q) be the third derivative of -q**5/420 - 109*q**4/84 - 31*q**3/6 - 2174*q**2. Factor s(h). -(h + 1)*(h + 217)/7 Let u(c) be the third derivative of -c**6/24 + 35*c**5/3 - 2065*c**4/24 + 685*c**3/3 - 5*c**2 - 113. Determine g so that u(g) = 0. 1, 2, 137 Determine o so that -31*o + 7849 + 2135 - 542*o - 21*o**2 + 3*o**3 + 93*o - 36*o**2 = 0. -13, 16 Let q(l) be the second derivative of -105*l + 0 - 320/3*l**3 + 5/12*l**4 + 10240*l**2. Factor q(w). 5*(w - 64)**2 Let p(r) = r**2 - r. Let b(j) = -2*j**2 - 20 + 57*j - 5*j**2 - 123*j + 48*j. Suppose -5 = -2*d - 1. Let n(k) = d*p(k) + b(k). Factor n(f). -5*(f + 2)**2 Let g be (24/(-18))/(-2)*(10 + 35/(-14)). Factor -2/7*s**g + 0 - 64/7*s**2 - 64/7*s**3 - 20/7*s**4 + 0*s. -2*s**2*(s + 2)*(s + 4)**2/7 Let a = 17/2 + -7. Let l be (7 - 9) + -8 - ((-176)/11 + 4). What is i in 0*i + i**4 + 0 - a*i**5 + i**l + 7/2*i**3 = 0? -1, -1/3, 0, 2 Let i(r) be the third derivative of -r**5/210 + r**3/21 + 3*r**2 - 31. Determine v, given that i(v) = 0. -1, 1 Factor 4036*r**2 + 39*r**3 - 11*r**4 - 4117*r**2 + 12*r**4 + 41*r. r*(r - 1)**2*(r + 41) Let c = 128612 - 257169/2. Determine g, given that -185*g**3 - 125*g**4 + 1 - c*g - 120*g**2 - 63/2*g**5 = 0. -1, 2/63 Let y = -662 - -986. Factor -310*x**2 + 5*x**3 + y*x**2 - 53*x + 7 + 3. (x - 2)*(x + 5)*(5*x - 1) Factor 552*z + 713 + 1159 + 10*z**2 - 2*z**3 + 18*z**2. -2*(z - 26)*(z + 6)**2 Let 732*n**3 - 193*n**3 + 31205*n - 790*n**2 - 188*n**3 - 150*n**3 - 196*n**3 = 0. What is n? 0, 79 Let l be (14 - (-20192)/(-1440))/((-2)/6). Let d(j) be the second derivative of 0 - 1/27*j**3 + 31*j + 0*j**2 - 5/54*j**4 + l*j**5. Factor d(c). 2*c*(c - 1)*(6*c + 1)/9 Factor -4/5*r**3 + 616/5*r - 768/5 - 108/5*r**2. -4*(r - 3)*(r - 2)*(r + 32)/5 Let w = 2603 + -2601. Let h(a) be the first derivative of -48/5*a - 48/5*a**w - 24/5*a**3 - 3/25*a**5 - 6/5*a**4 - 14. Find y, given that h(y) = 0. -2 Solve -1/5*s**4 - 3/5*s**3 + 15*s + 10 + 23/5*s**2 = 0. -5, -2, -1, 5 Factor 240/13*g - 2/13*g**2 - 7200/13. -2*(g - 60)**2/13 Let o(b) = -4*b**2 + 167*b + 1320. Let s(k) = 11*k**2 - 333*k - 2640. Let i(u) = 7*o(u) + 3*s(u). Factor i(v). 5*(v + 12)*(v + 22) Factor 300*t**3 + 3546*t**4 - 497*t**2 - 162*t**2 - 3549*t**4 - 493*t**2. -3*t**2*(t - 96)*(t - 4) Solve 0 + 182/9*x**4 - 1012/9*x**3 - 472/9*x**2 - 16/3*x = 0 for x. -2/7, -2/13, 0, 6 Let d(u) be the first derivative of 81/14*u**2 - 134 + 6*u - 44/7*u**3 + 9/28*u**4. Find y, given that d(y) = 0. -1/3, 1, 14 Find j, given that -13*j**3 - 843*j - 1095*j**2 + 180*j**2 + 8*j**3 - 75*j + 8*j**3 = 0. -1, 0, 306 Factor 6*y + 221*y + y**2 + 133*y - 4*y**2. -3*y*(y - 120) Let l = 137127 + -137125. Let 6/7*y**2 - 20/7 - l*y = 0. What is y? -1, 10/3 Let m(r) be the second derivative of r**5/90 + 11*r**4/9 + 305*r**3/27 - 39*r - 60. Factor m(y). 2*y*(y + 5)*(y + 61)/9 Suppose 4*p = -g + 23, g - 2 = p + 2*p. Suppose g*s**2 + 813*s - 8*s**4 - 3*s**2 - 809*s - 4*s**5 = 0. Calculate s. -1, 0, 1 Factor -33/2*f - 3/4*f**2 - 63/4. -3*(f + 1)*(f + 21)/4 What is w in 217/3*w**2 + 145/6*w - 1/2*w**3 + 0 = 0? -1/3, 0, 145 Suppose -41 = 3*w + 532. Let s = w + 1529/8. Factor -s*g + 1/2 + 1/8*g**3 - 1/2*g**2. (g - 4)*(g - 1)*(g + 1)/8 Find b such that -2506/3*b - 2/3*b**3 - 920 + 84*b**2 = 0. -1, 12, 115 Suppose -1514 = -5*i - 1484. Suppose 8*s = 12*s, -2*x = 4*s - i. Factor -2 - 867/2*q**2 - 51*q - 4913/4*q**x. -(17*q + 2)**3/4 Suppose 0 = 17*k + 77 + 25. Let d be (-55)/(-60)*5 + k/(-8). Factor 8/3 - 2/3*x**3 - d*x + 10/3*x**2. -2*(x - 2)**2*(x - 1)/3 Let v(c) be the third derivative of c**11/166320 + c**10/75600 - 3*c**5/2 + 2*c**2 + 8. Let f(l) be the third derivative of v(l). Factor f(i). 2*i**4*(i + 1) Factor 5/4*y + 3/2 + 1/4*y**2. (y + 2)*(y + 3)/4 Suppose 2*z - 3*z = -22. Suppose z*j - 3 = 21*j. Factor -3*m**4 - 27*m - 19*m**2 + 44*m**2 + 15*m**j - 34*m**2. -3*m*(m - 3)**2*(m + 1) Let y(v) be the second derivative of v**6/90 + 79*v**5/30 + 2027*v**4/12 - 6320*v**3/9 + 3200*v**2/3 + 2667*v. Find p such that y(p) = 0. -80, 1 Factor -1/4*n**3 - 149/2*n**2 + 599/4*n - 75. -(n - 1)**2*(n + 300)/4 Let g = 90 + -289. Let d = g - -401/2. Factor -d*s**4 + 0*s**3 + 3*s + 0 + 9/2*s**2. -3*s*(s - 2)*(s + 1)**2/2 Let n(f) = 8*f - 75. Let c be n(11). Factor 5*g**3 + 178*g + 115*g**2 + 70 - c*g + 10 - 25*g**2. 5*(g + 1)**2*(g + 16) Suppose -57*i + 54*i + 4*r - 29 = 0, 5*i + 3*r = 0. Let s be (-4)/(-16) + i*(-4)/144. Factor s*f**2 - 4/3 + 0*f. (f - 2)*(f + 2)/3 Let l be 2/1 - (-378)/(-2 + -12). Let b be 10/l + -1 + 2 + 1. Solve -6/5*z - b + 2/5*z**2 = 0 for z. -1, 4 Suppose 801 = 5*q + 2*z + 793, q - 5*z = 34. Let n(f) be the first derivative of 25 + 1/22*f**q + 2/11*f**3 + 10/11*f - 9/11*f**2. Factor n(d). 2*(d - 1)**2*(d + 5)/11 Let n(z) = 2*z**2 - 2*z - 2. Let r(i) = -9*i**2 + 54*i + 84. Let w(p) = 6*n(p) + r(p). Factor w(h). 3*(h + 2)*(h + 12) Let c(u) be the second derivative of u**4/60 - 439*u**3/15 - 879*u**2/10 - 5570*u. Solve c(a) = 0 for a. -1, 879 Let i(q) be the first derivative of 28*q**2 - 36*q**3 + 12*q**4 + 4/5*q**5 + 0*q + 54. What is n in i(n) = 0? -14, 0, 1 Let g(w) be the second derivative of -145*w - 2/5*w**6 + 19/2*w**3 - 81/20*w**5 + 9*w**2 + 0 + 1/2*w**4 + 2/7*w**7. Find y, given that g(y) = 0. -2, -1/2, 1, 3 Let t = -55 + 51. Let g be t/6 + ((-385)/(-15))/7. Determine v so that 31*v**3 + 25*v**3 - 52*v**g + 2*v**4 = 0. -2, 0 Solve -32 + 248/5*a + 4/5*a**3 - 92/5*a**2 = 0 for a. 1, 2, 20 Let g(l) be the third derivative of -l**6/240 - 137*l**5/15 + 2195*l**4/48 - 183*l**3/2 + l**2 - 107*l + 18. Solve g(o) = 0 for o. -1098, 1 Let c = -4604 - -253222/55. Let t(o) be the first derivative of 6 - 3/11*o**4 + 8/11*o**3 + c*o**5 - 10/11*o**2 + 6/11*o. Factor t(i). 2*(i - 3)*(i - 1)**3/11 Let c = -2386567031/4641120 - 1/515680. Let w = c + 516. Suppose 2/9*i**4 + 8/9*i - 10/9*i**3 - w + 4/3*i**2 = 0. Calculate i. -1, 2 Let l be (3/4)/((-12)/(-32)). Factor -2*w**2 - w**4 - 2788*w**3 + 3*w + l + w**2 + 2785*w**3. -(w - 1)*(w + 1)**2*(w + 2) Let p be (-462)/21 - -7 - -38. Let z(l) be the second derivative of 4/3*l**4 - 2*l**2 + 0 + 2*l**3 + p*l. Solve z(x) = 0 for x. -1, 1/4 Let s(k) = 15*k**2 + 34*k - 13. Let o(g) = 1 - 2479*g + 2480*g - 2 + 0. Let u(t) = 5*o(t) + s(t). What is r in u(r) = 0? -3, 2/5 Suppose 13249 = 38*u - 1001. Let t be ((-10)/(-4))/(-5 + u/45). What is q in -t*q + 1/4*q**2 + 1/2 = 0? 1, 2 Let p(c) be the third derivative of -c**5/12 - 805*c**4/24 - 265*c**3 + 53*c**2 + 10. Factor p(q). -5*(q + 2)*(q + 159) Let v = 1961 - 2116. Let n be 16/(-14) - v/7. Determine j, given that -180/7*j - 24/7 - n*j**3 - 54*j**2 = 0. -2, -2/7 Let d(q) = 2*q + 120. Let v be d(-4). Let n be 2*1/18*1008/v. Factor -17/2*l - 15*l**2 - n. -(5*l + 2)*(6*l + 1)/2 What is f in 3/2*f**2 + 50602347/2 - 12321*f = 0? 4107 Let w = -14367 - -14373. Let x(h) be the first derivative of 1/24*h**w + h**3 - 1/5*h**5 + 39 + 0*h - 1/8*h**4 + 9/8*h**2. Factor x(z). z*(z - 3)**2*(z + 1)**2/4 Let r be (-13 - (-4340)/336)/(8/(-10816)). What is b in -r - 2/3*b**2 + 52/3*b = 0? 13 Let o = 11 + 1. Let w be 2/((-3)/(-6)*(-16)/(-20)). Factor o*u**2 - 11 - w*u - u - 13 + 25 - 8*u**3. -(2*u - 1)**3 Let u(r) be the second derivative of r**5/4 + 215*r**4/24 - 115*r**3/12 - 55*r**2/2 - 40*r + 97. Factor u(l). 5*(l - 1)*(l + 22)*(2*l + 1)/2 Let p(k) be the first derivative of k**7/1890 + 11*k**6/135 + 121*k**5/30 + 5*k**3/3 + 27*k**2/2 + 217. Let x(c) be the third derivative of p(c). Factor x(j). 4*j*(j + 33)**2/9 Let g(l) = -12*l**2 + 50*l + 46. Let x(z) = -z**2 - z + 1. Let a be (1/1)/(36 - 37). Let v(m) = a*g(m) + 6*x(m). Factor v(s). 2*(s - 10)*(3*s + 2) Suppose 16/3 - z**2 - 1/6*z**3 + 0*z = 0. What is z? -4, 2 Let w(d) be the third derivative of -1/120*d**5 + 1/6*d**4 - 49*d**2 + 0 - 7/12*d**3 + 0*d. Factor w(k). -(k - 7)*(k - 1)/2 Let x
{ "pile_set_name": "DM Mathematics" }
- 4 = b - 2*c. Let g(r) = r**2 - 5*r + 2. Calculate g(b). 8 Let d(q) = -q**2 - 13*q - 26. Suppose -56*w = -61*w - 3*i - 25, 2*i + 6 = 2*w. Determine d(w). -4 Let i(l) = l**2 + 2*l + 3. Let j = 54 + -50. Suppose 4*d - 62 = 4*a - 10, 0 = -j*d - 3*a + 52. Suppose 0 = -2*r + 9 - d. Give i(r). 3 Let g(b) = -85*b**2 + 44*b**2 + 40*b**2 + 2*b**3. Suppose 0 = -p - 3*p - 4*r + 584, 294 = 2*p + 3*r. Let s = -145 + p. Calculate g(s). -3 Let j(t) = 3 - 20*t + t + 3*t**2 + 17*t - 5. Calculate j(2). 6 Let l(r) = 9*r**2 - 29*r + 851. Let t(c) = 5*c**2 - 15*c + 486. Let f(j) = -4*l(j) + 7*t(j). Suppose -39 + 11 = -4*x. Determine f(x). 26 Let k(r) be the first derivative of r**3/3 - 6*r**2 + 16*r + 3. Let t be k(11). Suppose 30 = -t*p - 3*y, 2*p + 2 = -3*y - 10. Let x(i) = i - 1. Give x(p). -7 Let h(a) = -a**2 - 17*a + 5. Let l be (15 - -3 - 3)*114/(-95). Give h(l). -13 Let x(a) = 7 - 25717*a - 6 - 3*a**2 + 25713*a. Calculate x(-6). -83 Let f be (-8)/(((-108)/(-15) - 7)*(-15)/(-9)). Let m(h) = 4*h + 99. Give m(f). 3 Let r(m) be the third derivative of m**6/20 - 11*m**5/60 + m**3/6 + 2187*m**2 + 2. What is r(1)? -4 Let m = -42 + 45. Suppose m*q + 3*o = -6, -4*o + 13 = -4*q + q. Let p(j) = j**2 + 4*j + 6. Let b be p(q). Let a(v) = v**3 - 2*v**2 - 3*v + 4. Give a(b). 4 Let y(p) be the first derivative of -p - 206. Let g(d) be the second derivative of d**3/2 - 2*d. Let i(q) = g(q) + 4*y(q). What is i(5)? 11 Let v(l) = -2*l**2 + 6*l**2 + l - 2753 - 2581 + 5336. Let a = -1 + -1. Give v(a). 16 Let a(u) = -27*u + 142. Let n be a(5). Let l(z) = 8*z + 20 - 15 - n. Give l(-2). -18 Let r(l) = -l**3 - l**2 - l + 67. Suppose 0 = -3*w - 20*w - 8*w. Determine r(w). 67 Let b(t) be the first derivative of t**4/2 - 5*t**3/3 - 6*t - 1739. Give b(3). 3 Let c(r) = r**3 + 5*r**2 + 2*r + 4. Suppose 30*b - 43*b + 26 = 0. Suppose 4*z - 8*z - 22 = b*i, 5*z + 28 = -3*i. Calculate c(z). -6 Let u(t) = t + 26. Let a(f) = 2*f + 33. Let y(b) = -a(b) + u(b). Let i = -23 + 16. What is y(i)? 0 Suppose -20 = -5*r + 5*v, v - 20 = -3*r - 4*v. Let c(w) = -w**2 - 10 + 0*w - r*w + 14*w. Give c(5). 10 Let v(p) = 7*p**2 + 7*p + 6. Let f(q) = 6*q**2 + 7*q + 6. Let y(t) = 6*f(t) - 5*v(t). Suppose 71*d + 315 = 92*d. Suppose -81*g + d = -84*g. Give y(g). -4 Let q(b) be the third derivative of 0 + 0*b - 1/6*b**3 + 10*b**2 + 1/10*b**6 - 1/60*b**5 - 1/12*b**4. Let c be ((-3)/(-12))/((-13)/52). Calculate q(c). -12 Let l = 2996 + -2993. Let u(h) = h - 2. Let y be u(4). Let j(c) = y*c**2 + c**2 - c**2 - 1 - 3*c. Give j(l). 8 Let w(f) = -44*f**2 - 2*f**3 + f - 13 + 71*f**2 + 13*f - 2 + 7. Give w(14). -8 Let z(y) be the second derivative of -y**5/20 - 2*y**4/3 + 11*y**3/6 + 5*y**2 - 523*y. Give z(-8). -78 Let q(f) = -2*f**2 - 11*f - 62. Let c(t) = 2*t**2 + 10*t + 48. Let d(o) = 4*c(o) + 3*q(o). Suppose -w = 4 + 1. Calculate d(w). 21 Let o be (-2)/(-1*(0 + 1)). Let c(q) = 2*q**o - 3*q + 6*q**2 - q**3 - 4*q. Suppose -1429*b + 546 = -1351*b. Give c(b). 0 Let p(z) be the second derivative of z**5/10 - 17*z**4/2 + 49*z**3/3 + 47*z**2 + 846*z + 3. What is p(50)? -6 Let j(r) = -r**2 - 4*r + 192*r**3 + 7*r**2 - 5 - 87*r**3 - 104*r**3. Determine j(-4). 43 Let l(f) = f**3 + 7*f**2 - 8*f + 16. Let s = -10739 - -10731. Give l(s). 16 Let a(t) be the third derivative of -t**5/30 + 9*t**4/8 - 25*t**3/3 - 7*t**2 + 2*t + 10. What is a(11)? 5 Suppose -q - 1 = -2. Let j(o) be the second derivative of 7*o**4/6 + o**3/3 - o**2/2 - 1039*o. What is j(q)? 15 Let v(d) = d**3 + 9*d**2 + 14*d - 1. Let q(i) = 14*i - 847. Let x be q(60). Calculate v(x). -1 Let q(c) = -18*c + 3. Let v(r) = -2*r - 12. Let x(y) = q(y) - 3*v(y). What is x(3)? 3 Let g(w) = 6*w**3 - 4*w - 1. Let r(q) = -5*q**3 + q**2 + 5*q - 1. Let d be 30/(-18) + 51/9. Let k(v) = d*g(v) + 5*r(v). Calculate k(6). 9 Let f(s) = -s**3 - 37*s**2 - 322*s - 941. Let v be f(-26). Suppose -10 - 22 = -4*r. Let d(o) = -4*o**2 + r + 3*o**2 - 3 - 6*o. Determine d(v). 10 Let r(o) = -o**2 + 24*o + 4. Let v be r(22). Suppose 10*l - 18*l = -v. Let t(p) = -p**2 + 5*p - 5. Calculate t(l). -11 Let c(f) = -f**2 + f. Let j(n) = n**3 + 5*n**2 - 6*n - 5. Let m(b) = 5*c(b) + j(b). Let g(u) = u**2 - u - 6. Let o be g(3). Give m(o). -5 Suppose 2*b = -200 + 196. Let o(v) = v**3 + 5*v**2 + 6*v - 2. Determine o(b). -2 Let i(x) = 65*x - 5519. Let d be i(85). Let o(v) = -5*v - 4. Let w = 6 + 1. Let r(b) = 4*b + 3. Let a(t) = w*r(t) + 6*o(t). Calculate a(d). -15 Let i(y) be the second derivative of -y**5/20 + y**4/4 - 5*y**3/6 + y**2/2 - 19*y. Let u be -16*(45/120)/(6/(-4)). Determine i(u). -35 Suppose 0 = 3*x + 2*t + 24, 161*x - 159*x + t = -14. Let c(h) = h**2 + 5*h. Let p(k) = -2*k**2 - 9*k - 1. Let d(a) = 5*c(a) + 3*p(a). What is d(x)? -11 Let v(b) be the first derivative of 17*b**3/3 - b**2 - 1788. Calculate v(-1). 19 Let w(t) = -7*t**2 - 5*t + 1. Let v(l) = 11*l**2 + 8*l - 2. Let a(i) = 5*v(i) + 8*w(i). Suppose 12*y + 41*y = 6*y. Calculate a(y). -2 Let v(y) = 9 - 6*y - 8 + 66 - 6. What is v(18)? -47 Let y(g) be the first derivative of -1/2*g**2 + 4*g - 27. Calculate y(-3). 7 Suppose -3*g - 3*d - 12 + 3 = 0, -4*g - 2*d = 18. Let x(z) be the first derivative of -8*z - 1/2*z**2 - 59. What is x(g)? -2 Suppose 9*g = 31*g + 10*g. Let q(l) be the first derivative of -l**5/120 + l**4/12 + 2*l**3/3 + 4. Let u(k) be the third derivative of q(k). Give u(g). 2 Suppose 2*w + 4*d = 6, -3*w - 3*d + 0*d = -9. Let o(q) = 2 + 29*q - 55*q - w + 22*q. What is o(-1)? 3 Let y(o) = -o - 20. Let t be y(-19). Let h(a) = 2 - 264*a + 266*a - 17*a**2 - 10*a**2 + 31*a**2. Determine h(t). 4 Let b be 3/(-6)*(-5 - 9). Let g(d) = -33*d**2 - 17*d + 11. Let q(m) = 20*m**2 + 9*m - 6. Let h(x) = -3*g(x) - 5*q(x). Determine h(b). -10 Let u(g) = -g + 6. Let b be ((-50)/(-3))/((-4)/(-6)). Let f = 112 - 132. Let x = f + b. What is u(x)? 1 Suppose 0 = l, 2*x - 4*x + 2*l - 8 = 0. Let c(r) = -6*r - 15. Calculate c(x). 9 Suppose 0 = 10*p - 4 - 16. Suppose -35 = -p*y - 5*y. Suppose -25 = -5*w, 3 = -3*v - y*w + 13. Let g(u) = 6*u + 5. Give g(v). -25 Let q(l) = 14 + 2235*l**2 + l**3 - 4505*l**2 + 2262*l**2 + 85 - 19*l. Calculate q(9). 9 Suppose -19*w = 77*w + 29*w. Let n(o) = 4*o - 2. Calculate n(w). -2 Let l(d) = 6*d**2 + 16*d - 5. Let c(u) = -u**2 - 2*u + 1. Let n(y) = -7*c(y) - l(y). Suppose j + 8 = 5*k, 4*j - 11 = -3. What is n(k)? -2 Let g(u) = u**3 - 4*u**2 - 2*u + 3. Suppose 25*i - 22*i = 1179. Let k = 397 - i. Determine g(k). -5 Suppose 5*o + 79 = 4*n, -5*n = 3*o + 2*o + 115. Let m(k) = 1505*k**3 + 1172 - 1161 - 1506*k**3 - 19*k - 20*k**2. Determine m(o). 11 Let o(m) = -2*m + 3. Let g(c) = 5*c - 6. Let k(l) = -6*g(l) - 13*o(l). Let d be (-3 + 7)/(36/27). Give k(d). -15 Let k be 1 + (-1 + -3 - -8). Let v(y) = 2*y + 8 - 18 + 0*y. Calculate v(k). 0 Let m(y) = -10*y + 18. Let x = 15052 + -15046. What is m(x)? -42 Let v be -4 + 0 + (-12)/12 + 15. Suppose 34 = 4*m + v. Let b(o) = -7 - 2 + 21*o - o**2 - 14*o. Give b(m). -3 Let u(a) be the second derivative of -a**3/6 + 21*a**2/2 + 6*a + 246. Give u(4). 17 Let v(o) = -3*o + 3. Let j = -693 - -992. Let d = j - 295. Determine v(d). -9 Let s(o) = -o**3 - 16*o**2 + 16*o - 34. Let k(z) = 40*z + 703. Let m be k(-18). Calculate s(m). -17 Let s(g) be the second derivative of g**7/2520 - g**6/90 + 7*g**5/120 - 16*g**4/3 + 68*g. Let h(p) be the third derivative of s(p). Give h(7). 0 Let h = 469 - -78. Let t = h + -547. Let z(n) = -5*n - 7. Let s(a) = 14*a + 20. Let p(b) = -4*s(b) - 11*z(b). Give p(t). -3 Let x(m) = 4*m**2 + 0*m**2 + 9*m - 5*m**2 - 5. Let n = 31 + -27. Suppose -4*h - 21 = 4*i - 53, -n*h + 5*i = -32. Determine x(h). 3 Let a = 210 - 173. Let s(p) = 2*p - 41 + 81 - a. Give s(-2). -1 Let w(h) = -3*h - 4. Suppose -y + 0 = -4. Let m be (((-16)/(-3))/y)/(6/9). Suppose 0 = 2*c + 4*u - m, -u - 3*u - 4 = 4*c. Give w(c). 5 Let w(n) = 5*n**3 + 8*n**2 - 6*n. Let j(p) = -7*p**3 - 9*p**2 + 7*p - 1. Let q be 50/(-11) + 18/33. Let m(s) = q*w(s) - 3*j(s). Determine m(4). -1 Let b(v) = -2*v - 1047. Let x(g) = -g + 90. Let q(o) = -b(o) - 13*x(o). Determine q(9). 12 Let i(r) = -4*r**2 - 11*r**3 + 4 - 18*r + 10*r**3 + 21*r. Let n = -1192 + 1188. Determine i(n). -8 Let r(f) = -f**3 - 9*f**2 - 9*f - 5. Let m = 219 + -27. Let d = m + -200. Determine r(d). 3 Let r(w) = -w**2 - 5*w + 8. Let c(l) = 3 + 7*l + 2*l**2 - 3 -
{ "pile_set_name": "DM Mathematics" }
(a) u (b) y (c) -3 a Let r = -20 + 21. Which is the second biggest value? (a) -0.02 (b) r (c) 0 c Let j = -0.005 - -0.105. What is the fourth smallest value in -2/7, -0.4, -1, j? j Let p = -878/7 - -126. Let k = -2 - -1. What is the biggest value in 0, k, p? p Let g = -0.7 + 0.8. Suppose 21*c - 24*c = 0. Let r = 3 - 4. What is the second biggest value in c, g, r? c Let g = 3 + -0.5. Let k = -3 + g. Let w(v) = -v + 2. Let q be w(4). Which is the third biggest value? (a) -1/3 (b) q (c) k b Suppose 0*t + 3*t + 2*x = 25, -5*x = -5*t. Which is the second biggest value? (a) -0.1 (b) 3 (c) t b Let y = 35/9 + -4. Let m(d) = d**2 + d - 1. Let p(j) = 3*j**2 + 6*j - 9. Let c(n) = 2*m(n) - p(n). Let i be c(-6). What is the smallest value in i, y, 0.5? i Let m = 1.1 - 1. Let a = 0.7 - m. Let s = -0.3 + a. What is the third smallest value in s, 1/2, -4? 1/2 Let u = 2 - 9. Let p = u - -7.1. Let m = -1.7 + 2. What is the second biggest value in m, p, -2/7? p Let r = 0.6 + -0.6. Let z = -0.1 - r. Let u = -0.3 - z. Which is the third smallest value? (a) -0.5 (b) 2/11 (c) u b Let x = 2/51 - -43/204. Let d be (16/(-6))/(-4)*2. What is the third smallest value in d, -0.2, x? d Let f = -0.1 + 0.1. Let p = 1.3 - 1.1. Let w = f + p. What is the third smallest value in w, -1, 4/3? 4/3 Let w = 1 - 1.2. Let q be -2*-1*2/2. Let r be q/10 - 12/(-15). Which is the second biggest value? (a) r (b) -4 (c) w c Let j = -0.08 + -1.92. Which is the second smallest value? (a) -0.1 (b) j (c) -1/3 c Let v = 40 + -39.7. Which is the third smallest value? (a) 2/13 (b) 4 (c) v (d) -0.5 c Let o(n) = -n**3 + 11*n**2 - 17*n - 13. Let z be o(9). Let v be (z/(-20))/((-2)/5). Which is the smallest value? (a) -1 (b) 5 (c) v a Let z = -13/18 - -2/9. Which is the third smallest value? (a) -0.1 (b) z (c) 0.02 c Suppose q = 4*q - 6. Let x = -18 + 10. Let m = x - -11. Which is the third biggest value? (a) 1/4 (b) m (c) q a Let q(w) = w**2 + 3*w - 5. Let z be q(-4). Let i = 0.3 - 0.1. What is the second smallest value in z, -2, i? z Let j = -4.1 + 0.1. Let m = 4.5 + j. What is the second biggest value in 2/11, m, -1/4? 2/11 Let q be ((-10)/(-3))/(1*6/9). Suppose -30 = s - 5*n, -4*s = -5*s + n - 10. Which is the smallest value? (a) q (b) s (c) 2/3 b Let t = 0.05 - 0.05. Let v = 27/10 - 1/5. What is the second smallest value in v, 0.3, t? 0.3 Let m = -27 + 26. What is the third smallest value in 2/9, m, 2/5? 2/5 Let p(v) = -4*v + 0 - 1 - 2*v. Let o be p(1). Let w be 5 + o + 40/21. Which is the third biggest value? (a) w (b) 0.2 (c) 4/5 a Let r = 17 - 19. Suppose 0 = p - 5*o + o - 3, 3*p - 2*o = -11. Which is the second smallest value? (a) p (b) r (c) -2/15 b Let m(j) = -j**2 - 4*j. Suppose -1 - 14 = 5*x. Let k be m(x). Which is the biggest value? (a) k (b) -1 (c) -0.5 a Let x = -197 - -192. What is the biggest value in 4/3, 1, x, -1/10? 4/3 Let j = 10/19 + -97/76. Let r = -0.07 + 0.3. Let u = r - -0.07. Which is the smallest value? (a) j (b) -1/3 (c) u a Let n = 605.94 - 611. Let o = n - -0.06. Let h = 0 - o. What is the biggest value in -4/5, 5/3, h? h Let n = -462 - -467. Let s = 702/5 + -141. Let u = -0.1 - -0.6. What is the biggest value in n, s, u? n Let h be ((-4)/(-10))/(11/(55/8)). Which is the smallest value? (a) -2/3 (b) -8 (c) h (d) -2/5 b Suppose 5*v = v - 12. What is the second smallest value in -0.12, v, -5? v Let w be (-11)/2 + -1 + 5. Which is the fourth biggest value? (a) -2/3 (b) -0.5 (c) 0.5 (d) w d Let n(d) = d**3 + 7*d**2 + 2. Let i be n(-7). Let z be (3 - 3)/(i*1). Suppose -4*q + 20 = -z*q. Which is the third biggest value? (a) q (b) -2/3 (c) 1/4 b Let z(x) = -4*x**3. Let y be z(-1). Suppose -2*l + 12 = y*s, 0 = 5*l + s - 3. Let q = 10 + -11. Which is the biggest value? (a) 0.4 (b) q (c) l a Let u be (-4)/4 - (-4)/6. What is the third smallest value in u, -1/5, 3? 3 Let x = 168 - 159.1. Let z = -1.1 - x. Let o = 7 + z. What is the third smallest value in 0, o, 0.3? 0.3 Let h = 19 + -9. Let o = h - 5. Which is the second smallest value? (a) 1/4 (b) -1/4 (c) o a Let l = -194 + 94. Let h be ((-5)/l)/((-6)/(-16)). Which is the third biggest value? (a) 4 (b) -3 (c) h b Let x = 1.47 + -1.97. What is the third biggest value in 2, 0.02, -1/3, x? -1/3 Suppose -2*y + 2*f = -6, -4*f - 10 = -2*f. Let u = 0.1 - 11.1. Let x = -10.8 - u. Which is the second biggest value? (a) 0.1 (b) y (c) x a Let s(v) = -v**2 + 10*v - 19. Let u be s(8). Which is the second smallest value? (a) u (b) -4 (c) -0.5 (d) -1 a Let q be ((-12)/8)/(6/(-16)). Suppose q*u + 1 = -7. What is the biggest value in 3/7, u, 1? 1 Let m = 102.3 + -39.6. Let x = m - 60. Let r = -0.3 - x. Which is the third biggest value? (a) r (b) 2 (c) -0.3 a Let d(t) = -t**2 + 7*t + 11. Let f be d(8). Let w be (-1 - 2)*(-1)/f. What is the biggest value in -1/3, 0.5, w? w Suppose -19 + 189 = 5*x. Which is the fourth smallest value? (a) x (b) -0.1 (c) 0.5 (d) 2/7 a Let j = 27 - 280/11. Let h = 141/77 - j. Let l be (-112)/(-204) - (-2)/(-3). What is the second smallest value in h, l, 1? h Let c = -22 - -21.97. What is the third biggest value in -2/5, c, 0.4? -2/5 Let h be (-6)/(-30)*5/3. Let v = -1 - -1.5. Which is the second smallest value? (a) -0.2 (b) v (c) h c Let i = -0.1 + -4.9. Let j = -3.92 + -0.08. Let k = j + 4. What is the second biggest value in k, -2/7, i? -2/7 Let p = 2 - 16. Let f = -17 - p. Which is the third smallest value? (a) -3/2 (b) 2 (c) f b Let f(d) = 3*d + 49. Let n be f(-15). Let g = -5 - -7. Which is the third biggest value? (a) 5 (b) g (c) n b Suppose 5*a = -0*a + 15. Let u be 47/4 + a/(-4). Let y be 116/(-154) + 2/u. What is the biggest value in 1, y, -2? 1 Let q be ((-3)/(-14))/((-2)/(-4)). Suppose -2*n = -4*n - 4. Which is the second biggest value? (a) n (b) q (c) 4/3 b Let h be (4/(-11))/1*3/(-6). Which is the smallest value? (a) h (b) -5 (c) 0 (d) 2/5 b Let q = -0.02 - 0.28. Let f = -2 + 1.9. Let s = 0.24 + 0.06. Which is the third biggest value? (a) q (b) s (c) f a Let v = -21 + 22. What is the third smallest value in 0.01, 2/7, v? v Let n = 6.12 + -0.12. Let g = n - 5. What is the second biggest value in -1/3, g, -0.4? -1/3 Let f = 0.08 - -0.22. Which is the biggest value? (a) f (b) 0.2 (c) -1/10 (d) 3 d Let v = -62/3 - -20. Which is the biggest value? (a) 2 (b) v (c) 0.4 a Let y = 14 - 13. What is the second smallest value in y, -6/5, -0.3? -0.3 Let h = -4 - -7. Let n = 0.2 - 1.2. Let w = -0.8 - n. What is the second smallest value in h, w, -1? w Let x be 51/126 - (-5)/(-10). What is the third biggest value in x, -2, 3/5? -2 Suppose -2*n = -10 - 6. Let y be 3/(-12) + 98/n. Let z be (-5)/25 - y/(-10). Which is the second smallest value? (a) 1/6 (b) -4 (c) z a Let m = 1692/11 + -154. What is the biggest value in -2/7, m, 4, 1? 4 Suppose 0*i - 3*i + 3 = 0. Let y be (i + 0)/(2 - 3). Suppose 0*j + 4 = -j - 4*t, -20 = 5*j - 2*t. Which is the third biggest value? (a) y (b) -0.3 (c) j c Let z = 5 - 4.7. Let g = z + 0.1. What is the biggest value in -5/3, g, 2? 2 Let i = -0.3 - -0.4. Let t be (-14)/(-98) + 66/28. What is the smallest value in t, 4, i? i Let t be (67 + -68)/((-1 + 2)*-3). What is the biggest value in 2/13, -0.5, -2, t? t Suppose 4*p + 5*q + 14 = 0, 6*p + 4*q + 12 = 2*p. Let w = -6.98 + 7. Let o = 4.02 - w. Which is the smallest value? (a) -0.3 (b) o (c) p c Suppose 1 - 5 = -2*y. Suppose -4*l + 24 = -4. Let d = y - l. What is the second smallest value in d, 2/9, 1/5? 1/5 Let v = 0.08 - -2.92. Let g = -2 + v. Let h = 0 - -5. Which is the smallest value? (a) h (b) -4 (c) g b Let o be -2*(-1)/(-8) - (-2)/8. Which is the third smallest value? (a) -1 (b) 5 (c) o b Let l = -3/37 - -58/259. Let n = 11/108 - -4/27. What is the second smallest value in 4, l, n? n Let s(h) = h**2 + 1. Let f be s(-1). Let v be 3/10*f/3. What is the smallest value in 3, -0.4, v? -0.4 Let h = -25.74 + 26. Let a = 0.04 + h. What is the third smallest value in a, 0.5, -2/3? 0.5 Let t be (-2)/((0 - 2)/(-2)). Let q = 65 + -69. Which is the third smallest value? (a) q (b) t (c) 4 c Let f = -40 + 43. What is the second biggest value in 1, 19, f? f Let m = -25/9 + 22/9. Which is the biggest value? (a) m (b) -2/57
{ "pile_set_name": "DM Mathematics" }
se z = 5*q + 15, -5*q = l - 1 - 1. What is the units digit of l? 7 Suppose 0 = -156*i + 102*i + 262386. What is the units digit of i? 9 Let g be ((-272)/32)/(1/22). Let d = g + 331. What is the units digit of d? 4 Suppose -l + 2*z = -300, 3 = -3*z - 0. Let x = 466 - l. What is the tens digit of x? 6 Let w(a) = -a**3 + 6*a**2 + 4. Suppose 3*p + 9 - 18 = 0. What is the tens digit of w(p)? 3 Suppose 0 = -6*v - 24 + 96. Let a = -4 + v. Suppose m = a + 31. What is the tens digit of m? 3 Suppose -5 = -7*y + 9. Let h(d) = 7*d - 3. What is the tens digit of h(y)? 1 What is the hundreds digit of 284*4/28*196/8? 9 Let s(c) be the second derivative of 4*c**4/3 + c**3/3 - 10*c**2 + 8*c. What is the hundreds digit of s(4)? 2 Let s = 6 - 3. Suppose -s*m - 25 + 166 = -5*h, m + 5*h = 27. Suppose -m = 3*n - 6*n. What is the units digit of n? 4 Let c(t) be the second derivative of -t**4/24 + 3*t**3/2 - 5*t**2/2 + 3*t. Let r(k) be the first derivative of c(k). What is the tens digit of r(-7)? 1 Suppose -5*h + 39 = 329. Let u = h - -168. What is the units digit of u? 0 Let b(u) be the first derivative of -3 + 1/2*u**2 - 3*u + 1/3*u**3. What is the units digit of b(4)? 7 What is the tens digit of 43 + (3/9 - 2/6)? 4 Let n(l) = l**3 + 8*l**2 - 10*l - 2. Let u be n(-9). Let q be -70*u/(105/(-6)). Let k = q - 27. What is the units digit of k? 1 Let v = -116 - -119. Suppose -306 - 51 = -v*o. What is the units digit of o? 9 Let v be 0*(0 - 1/(-2)). Suppose -i - u = 2*i - 174, -3*i + 5*u + 156 = v. What is the tens digit of i? 5 Suppose q - 4*q = 3*f - 12, 3*q = 3*f - 24. Suppose -f*o = -o. What is the units digit of 0 + -1 + (3 - o)? 2 Let a be (2/(-3))/((-26)/585). Let v = -12 + a. Suppose -5*l + q + 83 = -0, -v*l + 55 = 2*q. What is the units digit of l? 7 Let t(m) be the second derivative of 1/6*m**3 + 19/2*m**2 - 1/20*m**5 - 1/12*m**4 + 0 + 5*m. What is the units digit of t(0)? 9 Let z = 92 - 98. Let b be 4/(0 - -2)*-4. Let r = z - b. What is the units digit of r? 2 Let j = 779 - 426. What is the units digit of j? 3 Suppose 36*k - 32*k - 44 = 0. Let y(z) = 15*z + 14. What is the tens digit of y(k)? 7 Let w = 958 - 466. What is the units digit of w? 2 Suppose 0 = -4*a - z + 42, 4*z = -a + 6*a - 42. Suppose 3*g - 29 = -3*d + 43, 3*g = -3. Let t = d - a. What is the units digit of t? 5 Let l(n) = 8*n**2 + 74*n - 61. What is the hundreds digit of l(-26)? 4 Let i(n) be the third derivative of n**4/24 + 61*n**3/6 + 2*n**2. Suppose -46*u = -65*u. What is the units digit of i(u)? 1 Let z = 100 - -2695. What is the units digit of z? 5 Suppose 18*j - 3701 = 15*j + 5*s, 4*j - 4978 = -2*s. What is the tens digit of j? 4 What is the units digit of 4/(-20) + (-2 - (-6663)/15)? 2 Let q(t) = -t**2 - 6*t - 6. Let h be q(-4). Let g = h - -6. What is the units digit of 428/14 - g/14? 0 Let d be 1/((18/(-4))/(-9)). Suppose -815 = -5*o + d*i, -2*i - 66 = -2*o + 254. What is the tens digit of o? 6 Suppose -5*a + 4*b + 8505 = -0*b, 0 = a - b - 1700. What is the tens digit of 9/12 + a/20? 8 Let z(g) = -10*g + 66 + 69 + 10*g**2 - 151. What is the units digit of z(6)? 4 Let o be 27 + (3 - (-4 + 4)). Let a = o - -39. What is the units digit of a? 9 What is the hundreds digit of 42/(1 - 0)*(11 + 1)? 5 Suppose 0 = 4*i - 12, -2*w = -3*i + 2*i - 1. Suppose -p + w*s - 5 = 0, -5*p + 2*s = -3*s + 35. Let v(x) = -2*x - 7. What is the units digit of v(p)? 1 Let q = -7 - -11. Suppose -2 = -v - 6, -5*a = q*v - 54. What is the tens digit of a? 1 Suppose 2*l + 3*a = l + 1, 0 = -5*l + 2*a + 90. What is the units digit of (-7 + 152/l)*98/1? 5 Let r(i) = i**2 - 4*i + 3. Let h be r(7). Let v = -7 + h. What is the tens digit of v? 1 Let l be 0 - -159 - (4 - 4). Let w = 410 - l. What is the units digit of w? 1 Let g(n) = 5*n - 4. Let l(x) = 14*x - 11. Let q(b) = -11*g(b) + 4*l(b). Let y(f) = 5*f + 5. Let u(c) = 4*q(c) - y(c). What is the units digit of u(-7)? 2 Suppose w + w + 22 = 0. Let b(d) = -d - 8. Let n be b(w). Suppose n*o + 5*j - 8 = 0, 2*j = 4*o - 39 - 15. What is the units digit of o? 1 Let w be 2*1 + (-208)/(-8). Let z = -55 + w. Let f = -20 - z. What is the units digit of f? 7 Suppose 6 = 4*i + g - 3*g, 1 = g. Suppose 0 = -i*f - 3*c - 106, -4*f + 2*c - 187 = 9. Let r = 86 + f. What is the units digit of r? 6 Let t = 18 + -15. Let s be (0 + t)/(6/6). Suppose -s*i + 12 = -30. What is the units digit of i? 4 Suppose 25 = -13*j + 18*j. Suppose 0*i = -j*i + 20, -t = -5*i - 84. What is the units digit of t? 4 Let w = -364 - -362. Let c(p) = 2*p**3 + 3*p**2 - 3*p - 5. Let f(a) = -2*a**3 - 4*a**2 + 3*a + 6. Let h(r) = -3*c(r) - 2*f(r). What is the units digit of h(w)? 9 Let z = -2115 + 3278. What is the hundreds digit of z? 1 Let m(z) = 54*z + 63. What is the units digit of m(7)? 1 Suppose 8802 = -49*s + 52*s. What is the thousands digit of s? 2 What is the hundreds digit of 76/418 + (-7881)/(-33)? 2 Let o(h) = 164*h**3 - 2*h**2 - h + 1. Let y be o(1). Suppose 0 = 6*f - f - 2*b - 273, -3*b - y = -3*f. What is the units digit of f? 5 Let c = 14 + -12. Suppose -215 = -c*d + 1. Suppose -d = -5*t + 2*z + 2*z, 3*z = -6. What is the tens digit of t? 2 Let m be (-4 - -3)*(2 - 4). Suppose 2*w - 172 = -4*i, 3*i - 115 = m*w - 0*w. What is the tens digit of i? 4 Let w(d) = -181*d + 23. What is the tens digit of w(-6)? 0 Let n = 17 - 18. What is the tens digit of n/(4/(-56)) - 1? 1 Suppose z + 44 + 130 = c, 3*c - 508 = -4*z. Suppose 4*a + 3*b - c = 2*b, -172 = -4*a - 5*b. What is the units digit of a? 3 Suppose 15 = 5*l - 0. Suppose -4*o + 260 = -2*d, d + 156 = l*o - 37. What is the tens digit of o? 6 Let u(z) be the third derivative of 1/3*z**3 + 0*z - z**2 + 1/24*z**4 + 0. What is the units digit of u(7)? 9 Suppose 4*x + x - 105 = 0. Suppose -3*o - 2*o = -3*i + x, -18 = 4*o - 3*i. Let h = o - -13. What is the units digit of h? 0 Let o = 2573 - 1331. What is the tens digit of o? 4 Suppose 101*u - 160*u = -69443. What is the tens digit of u? 7 Suppose 10*c = 5*c + 205. Suppose -273 = -g - c. What is the units digit of g? 2 Suppose -14 - 6 = -5*p. Let r = 248 + -139. Suppose p*s = 35 + r. What is the units digit of s? 6 Let j(o) be the third derivative of o**4/8 + o**3 + 4*o**2. Let c be j(3). Let y = c - 7. What is the units digit of y? 8 Let j = 129 + -306. Let d = -120 - j. Suppose 5*g = 2*g + d. What is the tens digit of g? 1 Suppose -88 = -6*l - 10. Suppose -y + l = -52. What is the tens digit of y? 6 Let a = -11 + 19. Suppose -d - a = 2*d + 2*q, 4*d + 12 = -3*q. Let b = d - -1. What is the units digit of b? 1 Let k(z) = 10*z - 1. Let g be k(5). Let n = -11 + g. What is the tens digit of n? 3 Let c be (-1 - -2)/(4/32). Suppose -c*v = -9*v - 6. Let i = v + 46. What is the tens digit of i? 4 Let h = -286 - 18. Let o = h - -515. What is the units digit of o? 1 Let m = -685 - -2759. What is the tens digit of m? 7 Suppose 325 = s + 47. Suppose 2*b - s = 140. What is the hundreds digit of b? 2 Let f be 1*-363*2/(-6). Let a = -34 + f. Suppose -a = -6*g + 3*g. What is the units digit of g? 9 Let s(j) = 0*j - j + 403 - j**3 - 403. Let z be s(0). Suppose 5*t - q = 209, z = 3*t + 4*q + 54 - 161. What is the units digit of t? 1 Let z = -31 - -31. Suppose z = -2*l + 4*l - 240. What is the units digit of l? 0 Let g be 8/10*(-60)/(-8). Let v = 7 + g. What is the units digit of v? 3 Let y = 13 + -11. Suppose -t + 39 = f, f + 0*f - 73 = -y*t. What is the tens digit of t? 3 Let d = 27 + -28. Let z(w) = -9*w**3 + w**2 - 1. Let n be z(d). Suppose -39 = -4*p + n. What is the units digit of p? 2 Suppose -10*s - 56 = -8*s. Let y = 73 + s. What is the tens digit of y? 4 Let q be (-4)/7*(-56)/16. Suppose -9 = -q*x - 5. Let y(z) = 2*z**3 - 2*z + 4. What is the tens digit of y(x)? 1 Suppose -3*i = 53 - 839. What is the tens digit of i? 6 Let q be (-7)/(-3) + -5 + (-17)/(-3). Suppose q*g - 188 = g. What is the units digit of g? 4 Let p(d) be the third derivative of -d**6/120 - 3*d**5/20 + 5*d**4/8 - 5*d**3/3 - 4*d**2. What is the units digit of p(-11)? 7 Suppose 3*s = 3*h - 2*s + 9, 2*s = 2*h + 2. Suppose 3*i = -h*i. Let d = i + 9. What is the units digit of d? 9 Let r(b) = -b. Let q(h) = -h**3 - 5*h**2 - 5*h + 1. Let p(v) = q(v) - 2*r(v). Let a be p(-4). Let k = a + 11. What is the units digit of k? 8 Let s(t) be the second derivative
{ "pile_set_name": "DM Mathematics" }
pand (-2*y**2 - 5*y**2 + 4*y**2 + 23)*(-4*y**2 + 2*y**2 + 4*y**2). -6*y**4 + 46*y**2 Expand (-3 + 2 + 4 - 2 + 1 - 1 + (0 + 1 - 2)*(5 - 3 - 3) - 3 + 0 + 1 + 4 - 1 - 1 + 4 - 3 + 2)*(3*c**2 + c**2 - 3*c**2)*(41*c - 24*c**3 - 41*c). -120*c**5 Expand (j**2 - 7*j**2 + 0*j**2 + (3 + 2 - 6)*(-3*j**2 - 3*j**2 + 7*j**2))*(-9*j**2 + 11*j**2 + 8*j**2). -70*j**4 Expand h**5 + 0*h**5 - 2*h**5 + (4 - 4 + 2)*(-h**5 - h + h) + 2*h**2 - 2*h**2 - 2*h**5 - 1 + 0 - 1 + 12*h**5. 7*h**5 - 2 Expand (h**4 - 3*h**4 + 0*h**4)*(h + 3*h - 6*h) + (-70*h**4 + 32*h**4 - 69*h**4)*(-5 + 0 + 3)*(-9 + 9 + 3*h) + h**5 - 1 + 1. 647*h**5 Expand (-8 - 8*q**3 + 8)*((-2 + 5 - 2)*(q + 3*q - 6*q) - 4*q + 0*q + 3*q - 5*q + 2 + 7*q - 6*q). 56*q**4 - 16*q**3 Expand (18*y - 96*y - 53*y)*(0 - 1 - 1). 262*y Expand (3 - 140*k - 129*k + 220*k)*(-5 + 4 + 3). -98*k + 6 Expand (-41*v - 3 + 1 + 21*v)*(-59*v**3 + 59*v**3 + 8*v**4). -160*v**5 - 16*v**4 Expand (-1 + 1 + 2*s**2)*(3*s**2 - 4*s**2 + 2*s**2 + 2*s**2 - s**2 - 3*s**2 + (-3*s + 3*s - 2*s)*(-2*s - s + 0*s) - 2 - s**2 + 2). 8*s**4 Expand (0 + 0 - 2)*(18*i**2 + 30*i**2 - 5*i**2). -86*i**2 Expand -3*t**4 - t**4 - 12*t**4 + (0*t - 4*t + t)*(-t**3 - t + t) - t**4 + 0*t**2 + 0*t**2. -14*t**4 Expand 4*l**3 + 0*l**3 - 5*l**3 + (-2 + 2 - 2)*(30*l**3 + 8*l**3 + 15*l**3) - 3*l**3 - l**3 + 3*l**3. -108*l**3 Expand (6*v - v - 4*v - 2*v + 1 - 1 - 2*v + v + 3*v + (3*v + v - 6*v)*(1 + 1 - 4) + 0*v + 0*v - 2*v)*(49 + 133 + 52). 702*v Expand (1 - 2*w**2 - 1)*(4*w - 5*w + 3*w) - w**3 - w**2 + w**2 + 4*w**3 + 0*w**3 - 2*w**3 - w**3 + 0*w**3 - 3*w**3 + (18 - w - 18)*(3*w**2 + 2*w**2 - 2*w**2). -10*w**3 Expand (-92*i - 52*i + 40*i)*(0*i**2 + 0*i**2 + i**3) + 9*i**4 + 10 - 10. -95*i**4 Expand (-6*u - 3*u - u)*(2*u + 0*u - 10*u)*(-3 + 2 - 1). -160*u**2 Expand (169*d**2 - 221*d**2 - 220*d**2)*(-2*d**2 - d**2 + d**2 + (-2*d - d + d)*(-4 + d + 4) + d**2 + d**2 - d**2). 816*d**4 Expand (-4 - 3 + 5)*(4*l**5 - 2*l**5 - l**5) - 87*l - 67*l**5 - 104*l + 213*l. -69*l**5 + 22*l Expand (t - 4*t + 4*t)*(0 - 2 + 4) + 2827 - 2827 - 53*t. -51*t Expand (2 + m + 2*m - m)*(8*m - 93 + 96 - 3*m). 10*m**2 + 16*m + 6 Expand -116*p - 165*p + 57*p + (-2 + 3 + 1)*(-3 + 3 + 2*p) - p + 0 + 0 - p - 2*p + 2*p. -222*p Expand (-p**3 + p**2 + 3 - 2*p**2 + 0*p**3)*(4 + 2 + 3) - 3*p**3 - 22*p**3 + 11*p**3. -23*p**3 - 9*p**2 + 27 Expand (-4 + 4 - z)*(-1 + 4 - 2)*(278 + 226 - 334)*(3 - 3 - 1). 170*z Expand h**4 + 2*h - 2*h - 6*h**4 + 2*h**4 - 3*h**2 + 0*h**2 + (-1 + 2*h + 1)*(5*h**3 - 2*h**3 - h**3) + h**4 - h**4 - h**4 + 34*h**4 - 989*h + 989*h. 34*h**4 - 3*h**2 Expand (-10*r**2 - 4*r + 4*r)*(-r + 2*r + 2*r)*(-2*r - r + 0*r). 90*r**4 Expand (10*z - 7*z + 7*z)*(43*z**2 + 11 - 25 + 12). 430*z**3 - 20*z Expand (-m + 2*m + 0*m)*(44*m - 1 - 417*m + 0). -373*m**2 - m Expand (-2 + 3 + 1)*(4*i**2 - 3*i**2 - 3*i**2) + (7*i**2 + 6*i**2 - 8*i**2)*(-2 + 2 - 1). -9*i**2 Expand 5*f**2 - 2*f**2 - 2*f**2 + 0*f**2 + 2*f**2 + 0*f**2 + (6 - 2 - 3)*(4 - 2*f**2 - 4) - 35 + 35 + 20*f**2 + (3*f - 3*f - 2*f**2)*(3 + 0 - 4). 23*f**2 Expand (2*z**2 - 4*z**2 + 3*z**2)*(-2 - 5 + 4) - 2*z**2 + z**2 - z**2 - 1 - 3*z**2 + 1 + 2*z**2 + 0*z**2 + 0*z**2 + 7*z + 36*z**2 - 45*z**2 + 3 - 8*z. -15*z**2 - z + 3 Expand ((2 - 4 + 1)*(6*k - 2*k - 3*k) + 2*k - 3*k - k)*(-2 + 4 + 3 + (-3 - 5 + 1)*(1 - 5 + 3)) - k + 0*k + 0*k. -37*k Expand (-8*j + 10*j - 5*j**2 + 4*j**2)*(12 - 4 + 21). -29*j**2 + 58*j Expand (-12 + 12 + 28*x**2)*(2*x - 4 + 4) - x**3 + 4*x**3 - 5*x**3. 54*x**3 Expand 2*h**3 + h - h + h**3 + 2*h**2 - 2*h**2 + (1 - 1 - h)*(4*h**2 - 2*h**2 - 3*h**2) - 5*h**3 + 2*h**3 + 2*h**3 + 4278*h - 4278*h + 64*h**3. 67*h**3 Expand (2*g**3 + 0 + 0)*(269 - 2*g + 285 - 569). -4*g**4 - 30*g**3 Expand (-2*m + 5*m - m - 2 - 5*m + 2 - 3*m - 1 + 1 + (3*m + m - 2*m)*(-4 - 1 + 3))*(2*m**2 - m**2 - 5*m**2). 40*m**3 Expand (49*b**2 - 60*b + 60*b)*(-2 - b + 2). -49*b**3 Expand ((0*w**2 + w**2 - 2*w**2)*(1 + 0 - 5) + 2*w + 0*w**2 - 7*w**2 - w**2)*(1 - 2*w - 1). 8*w**3 - 4*w**2 Expand -69*t**5 - 70*t**5 + 24*t**5 + 0*t**5 + 0*t**5 - t**5 + (-3 - 3 + 5)*(4 + t**5 - 4). -117*t**5 Expand (-1 + 1 + n**2)*(-n - 2*n**2 + n) + (-4165*n - 333*n**2 + 4165*n)*(3*n**2 + n**2 - 2*n**2). -668*n**4 Expand (0*a + 2*a - 3*a)*(1 + 0 + 0)*(-2*a + 0 + 0)*(-a - 16 + 4*a + 14). 6*a**3 - 4*a**2 Expand (2*c**2 - c**2 + 3*c**2)*(-20*c - 14*c + 20 + 33*c). -4*c**3 + 80*c**2 Expand (6 - 3 - 4)*(o**4 - o**4 - o**5) + (30*o - 2*o + 10*o)*(-1 + 1 - 1)*(-o**4 + 0*o**4 + 0*o**4). 39*o**5 Expand (-3 - 2 + 3)*((-1 + 0 - 1)*(j + j - 3*j) + 4*j - j + 0*j)*(10 - 3 + 2)*(-3*j + 4*j + 0*j). -90*j**2 Expand -242 - 239 + 484 - 40*u + 4*u + 0*u + u + (0 - 2 + 1)*(0*u - 2*u + 0*u). -33*u + 3 Expand (-204*o + 6*o - 197*o)*(-4 + 4 - 2*o) + 2 - o**2 - 2. 789*o**2 Expand (-5 - k + 5)*(3*k**3 - 837*k + 837*k + (-2 + 2*k + 2)*(-k**2 + 2 - 2)). -k**4 Expand -3*r**5 + 12 - 12 + 6 - 6 + 5*r**5 + (-2*r**4 + 3*r**4 - 2*r**4)*(-2 + r + 2). r**5 Expand (4 + 3 - 3)*(5*m - 3*m + 0*m)*(2*m**3 - 4*m**3 + 3*m**3) + (0*m**3 + 0*m**3 - m**4)*(1 - 4 + 2) - 54*m**4 + 57*m**4 - 113*m**4. -101*m**4 Expand 4*a - a - 2*a - a - 4 + 4 + (3*a + 0*a + 0*a)*(-11 + 12 + 17) - a + 3 - 3. 53*a Expand (-5*x - x + 3*x)*(-x**2 + x**2 - 2*x**4) + 3*x**5 + 0*x**5 - x**5 + 2*x**2 - 24*x**5 - 2*x**2 - 66*x**5. -82*x**5 Expand ((-2*f + 2*f - f)*(-3*f - f + 6*f) - 8*f**2 + f**2 + 0*f**2 + 1 - 1 + 2*f**2)*(0*f - f + 0*f). 7*f**3 Expand (1 - 1 + 3*t**4)*(-68 - 78 + 3). -429*t**4 Expand (-2 + 12*i - 3*i - i)*(-2*i**3 + 2*i**3 + 3*i**3 + (-2*i**3 + 0*i**3 + i**3)*(6 - 4 - 3) + 63*i - 63*i - 8*i**3). -32*i**4 + 8*i**3 Expand (-4*o - 2*o**2 + 4*o)*(2*o**3 - 3 + 3) - 1 - o**5 + 1 + 497 - 992 + 491 - 11*o**5. -16*o**5 - 4 Expand (-3 + 0 + 0)*(-29*m**5 - 45*m**5 - 83*m**5). 471*m**5 Expand (0*d + 2*d - 5*d)*(9*d + d**2 - 6*d - 2*d**2 + 1). 3*d**3 - 9*d**2 - 3*d Expand (p + 11*p + 2*p)*(1 + 1 - 3)*(-160 + 94 + 94). -392*p Expand 2*n**5 + 4*n**4 - 16*n**4 + 0*n**5 + 0*n**5 + n**5 - 3*n**5 + (0 - 3*n + 0)*(-2*n**4 + 2*n**4 - 2*n**4) + n - 2*n**5 - n. 4*n**5 - 12*n**4 Expand (4*u + 2*u - 3*u)*(64*u + 5*u + 22*u). 273*u**2 Expand -3*g**2 + 3*g**3 + 3*g**2 + (94*g**2 - 77*g**2 + 63*g**2)*(3*g + 4*g - 3*g). 323*g**3 Expand (-5 + 5 - k)*(71*k - 5*k + 26*k) - k**2 - 2*k + 2*k. -93*k**2 Expand (3*h - h - h)*((-5 + 2 + 5)*(h + 4*h - 6*h) + 43*h + 46*h - 97*h)*(2*h**3 - 4*h**2 + 4*h**2). -20*h**5 Expand (2*i + i - 4*i)*(-i - 62 + 0*i + 2*i). -i**2 + 62*i Expand (m + 6*m - 4*m)*(15*m - 12*m + 22*m - 3*m + 3*m - 2*m + (5 - 4 - 2)*(2*m - 1 + 1))*(1 + 2 - 1). 126*m**2 Expand (-3*d + 15*d + 4*d)*((-4 + 4 + 1)*(0 - 5 + 4) - 1 + 3 - 3). -32*d Expand (101*l**2 + 32296 - 32296)*(0*l - 4*l + 2*l + 0*l + l + l + (1 - 4 + 1)*(-l - l + 4*l)). -404*l**3 Expand (0 + 0 - 3)*(9 - 8*g - 9)*(0*g**2 + g**2 + 2*g**2). 72*g**3 Expand (4*b - 3*b + 2*b**4 + 2*b**4)*(b - 2 + 2). 4*b**5 + b**2 Expand (-a - 2*a - 3 + 6)*(-3 + 0 + 5) + a - 5*a + 3*a + (-3 + 5 - 4)*(a - 3 + 3) + 0 + 2*a + 0. -7*a + 6 Expand (2*q - 2*q - 2*q**2)*(-25*q + 25*q + 19*q**2) + (-2*q**3 + 0*q + 0*q)*(-2 + 2 - q) - q**4 + 0*q**2 + 0*q**2 - 2*q + 2*q - 2*q**4. -39*q**4 Expand (-1 - 3 + 5)*(-9*g - 43*g**4 + 9*g + (g - 5*g**2 - g + (1 - 1 + 2*g)*(g - g + g))*(0*g + 0*g - g**2)). -40*g**4 Expand (14*f**2 + 8*f - 8*f)*(-4*f - 4 + f**2 - 2 + 7). 14*f**4 - 56*f**3 + 14*f**2 Expand (-14*b + 0*b**2 + 10*b**2 + 14*b)*(1 - 2 + 3)*(23*b**2 - 62 + 62). 460*b**4 Expand 7*r**2 - 3*r**2 - 3*r**2 + (r + 3 - 2*r + 3*r)*(-4 + 1 + 11 - 2*r). -3*r**2 + 10*r + 24 Expand (-3 + 2*y**2 + 3)*(-3*y - y + 12*y - 2 + 2*y + 2 - 1 + 1 + y + (5*y - 2*y - 4*y)*(2 - 5 + 2)). 24*y**3 Expand (3*v**4 - v**4 + v**4)*(2 - 5 - 1)*(-3*v + 4*v + v). -24*v**5 Expand (13*p**2 - 8*p**2 + 44*p**2)*(-p - p**2 + 1 - 3*p**2 + 2*p**2). -98*p**4 - 49*p**3 + 49*p**2 Expand (2*m**2 - m**4 - 2*m**2)*(-26 + 17 + 4). 5*m**4 Expand (-o**5 + 4*o**2 - 4*o**2 + (-o + o + 2*o**2)*(2*o**3 + 2*o - 2*o) + 2*o**5 - o**3 + o**3 - o**5 + 0*o**5 + 0*o**5)*(1 - 7 + 3)*(-67 + 140 + 56). -1548*o**5 Expand (-o + o**2 + o - 2*o**2 - 2 + 2 - 2*o**2 + 2*o**2 + 2*o**2 + (o - 3*o + 0*o)*(-2 + 2 + 2*o))*(322 - 86 - 30). -618*o**2 Expand (388*p + 23*p**2 - 388*p)*(0 - 1 + 3)*(-p**2 + 4*p**2 - 2*p**2). 46*p**4 Expand (6 + 18*f**2 + 33652*f - 33652*f)*(4 - 1 - 4)*(2 + 0 - 6). 72*f**2 + 24
{ "pile_set_name": "DM Mathematics" }
est to -1? (a) 2 (b) 3/7 (c) 874 (d) -0.7 (e) -0.3 d What is the closest to 1 in 1/17050, -0.1, 0.4, -0.3? 0.4 Which is the closest to -4? (a) 129 (b) -2/15 (c) 4 b What is the closest to 1 in 0, -3.76, -1/3? 0 Which is the closest to 3? (a) 8/9 (b) -3/4 (c) 3 (d) 0 (e) -0.13 c What is the nearest to 3/4 in 0.3, 3/4, 0.06, 0.2, -5.7? 3/4 Which is the closest to 12/5? (a) -7/2 (b) -0.07 (c) -0.5 b Which is the nearest to 0? (a) -0.14 (b) 0.09 (c) 6 b Which is the nearest to 2/7? (a) 4 (b) -6 (c) -12678 a Which is the closest to -0.073? (a) -0.7 (b) -0.4 (c) 4 (d) -0.41 (e) 1 b What is the nearest to 0.1 in -3, 0.3, 14/197, -0.5, 2/5? 14/197 Which is the nearest to -175.73? (a) 1/3 (b) -0.3 (c) -3 c What is the nearest to -0.1 in -4, -3, -232, -50? -3 What is the closest to 2 in -226, 0.4, -0.5, 29, -3? 0.4 What is the nearest to 2/5 in 3, -1069, 0.5, 3/5? 0.5 Which is the closest to 1/4? (a) 75/13 (b) 27 (c) -2/7 c What is the closest to -0.1 in 2, 1/16, -280, 0.045? 0.045 What is the closest to 0.03 in -1, 2/27, 8? 2/27 What is the closest to 3 in -1, -4, -8? -1 Which is the closest to -1? (a) -1/4 (b) -5/11 (c) 8 b What is the nearest to 7/4 in -12/5, 3, -1, 0, 4/9? 3 What is the closest to 1/4 in 2/7, 68.7, 5/4, 0.3, -4? 2/7 What is the closest to -10/3 in 0.3, 5357, -3/4? -3/4 What is the closest to -2/5 in 3, -19, 1/7, 5/2? 1/7 Which is the nearest to 45/4? (a) -1.6 (b) -15/7 (c) -0.3 c What is the closest to -0.2 in 1, 3/2, 1/8, 265? 1/8 What is the nearest to 0.1 in 5/2, -28554, -1/3, 3? -1/3 What is the nearest to -1/24 in 1032, -2/19, -0.5, -1/4? -2/19 Which is the nearest to -0.3? (a) -1/2 (b) -0.09 (c) 3 (d) 1 (e) -2/3 a What is the nearest to -330 in 1, 8, 1/6? 1/6 What is the closest to 1 in 4, -6, -4, -0.08, 2/5? 2/5 Which is the closest to -15? (a) 1.8 (b) -3 (c) 2 b What is the nearest to -32 in -0.5, 19/5, 3/5? -0.5 What is the closest to -1/2 in -1, -4/7, -2/1261? -4/7 Which is the closest to 0.962? (a) -5 (b) 0.05 (c) 0.3 (d) -3 c Which is the nearest to 1/7? (a) 1/3 (b) 3 (c) 4/5 (d) -0.12 a What is the closest to 20 in 0.01, 0.05, -11/6? 0.05 What is the closest to -3 in -0.0423, -6/7, 0.2, -2/15, -5? -5 Which is the closest to -167? (a) -16 (b) -23 (c) -3 b Which is the nearest to -0.1? (a) -1/16 (b) 5/4 (c) 14 (d) -0.6 a Which is the nearest to 0? (a) 141 (b) -22 (c) 2 c What is the closest to -0.1 in 2, -225, -5, -7? 2 What is the nearest to -3.3 in 3/5, -0.023, -50, -2/15? -2/15 What is the nearest to 1/5150 in 0.4, 51, -2? 0.4 What is the nearest to 2/15 in 84, -15, -1/5? -1/5 Which is the closest to -57? (a) -5 (b) 6/73 (c) -23 c Which is the closest to 2/3? (a) 1 (b) 2/21 (c) 2/3 (d) 3/5 (e) 0.103 c Which is the nearest to -96? (a) -77 (b) 2/17 (c) 0.3 a Which is the nearest to 2/17? (a) -3 (b) 3/5 (c) -2/13 (d) 5 c Which is the nearest to 1? (a) -0.5 (b) -6 (c) 2/13 (d) 7.2 c Which is the closest to -0.1? (a) -1 (b) -1/2 (c) -48/5 b What is the closest to 5 in -4/29, -1, -5, 2? 2 What is the closest to -0.1 in -0.38, 4, 33? -0.38 Which is the nearest to 1/4? (a) 1/3 (b) -2/5 (c) -4 (d) 18/5 a What is the closest to -5 in 874, 16, 3/5? 3/5 What is the nearest to -2 in -36/49, -62, -4, -0.3? -36/49 What is the nearest to -2/11 in -12, 0.1, 3/7, 1/28? 1/28 What is the nearest to -45/4 in -0.6, -0.074, -3/7? -0.6 Which is the closest to -2/7? (a) -28 (b) 0.3 (c) 0.4 (d) -4 (e) -0.2 e Which is the closest to 0.1? (a) -2/63 (b) -324 (c) 0.4 a Which is the closest to 8.565? (a) -0.1 (b) 2 (c) -3 b Which is the closest to 5? (a) 21 (b) 3 (c) -0.18 (d) -0.3 b Which is the closest to -2/7? (a) -4 (b) -0.7 (c) 10 (d) 0.5 b Which is the nearest to 0? (a) 0.2 (b) -15.3 (c) 256 a Which is the nearest to 1.4? (a) 4 (b) 5 (c) 0.12 (d) 2/11 d Which is the nearest to 4? (a) -37 (b) 2.1 (c) -3 b What is the nearest to -3 in -4/3, -15, 1, -4/5, -1/5? -4/3 What is the nearest to -1 in 27, -2/7, 58, 1.64? -2/7 What is the closest to 26 in 3, -50, 1/4, 13? 13 Which is the nearest to 1/222? (a) 2 (b) 2/11 (c) 0.22 (d) 0.5 b What is the nearest to -3 in 0.013, 215, 2? 0.013 Which is the nearest to -3? (a) -2 (b) 3 (c) 89 (d) 1 (e) -1/3 a Which is the nearest to 0? (a) 38/11 (b) 3/5 (c) -1014 b What is the nearest to -0.15 in -17, 3, 0, -4? 0 Which is the nearest to -2/3? (a) -45 (b) 0.4 (c) -56 b Which is the nearest to 0.1? (a) -1/4 (b) 6778 (c) -2 (d) -2/13 (e) -2/15 e Which is the closest to -2? (a) 92/5 (b) 1/9 (c) 3 b Which is the nearest to -204/23? (a) -2 (b) -55 (c) 5 (d) 1/2 a What is the nearest to -2/5 in 4, 117/7, -0.5? -0.5 Which is the nearest to 2/3? (a) 5 (b) 54/11 (c) 1 (d) -0.3 c What is the closest to 12 in 0, -1, 0.5, 1? 1 What is the nearest to 0.5 in 20/7, -0.3, -3, 5, 0? 0 What is the nearest to -2/17 in 23, 2/7, -0.05? -0.05 What is the nearest to 8 in -14, 1, 0, 1039? 1 What is the closest to -10/11 in -3, 66, -22? -3 What is the closest to -0.563 in 5, -3, -2? -2 What is the nearest to -2/5 in -15, -2, 0.61? 0.61 What is the closest to -1/4 in 72/11, -0.51, -2/69? -2/69 Which is the nearest to 0.07? (a) 1/4 (b) 12.1 (c) 3 (d) 3/4 a Which is the nearest to -1? (a) -5.3 (b) 1.9 (c) -2/9 c Which is the nearest to -5? (a) 4 (b) 411 (c) 3 (d) -5 d What is the closest to 2/45 in -84, -3, -3/2? -3/2 Which is the closest to -0.4? (a) -54 (b) 5 (c) -20/7 c Which is the nearest to 0? (a) 6/35 (b) 0.2 (c) 0.4 (d) -7 a What is the closest to 2 in 0.1, 1/3, -107, 1/5? 1/3 Which is the closest to -2/9? (a) -0.5 (b) -9.08 (c) 2 (d) 5 (e) 0.04 e What is the closest to 4/57 in 0.07, 0.3, -4/3, 3? 0.07 What is the closest to 1/4 in -6/29, 0.1, -3/5, -833? 0.1 What is the closest to -5 in 5, 0.02, -0.0157? -0.0157 What is the nearest to 0 in -1/22, -0.2, 51, 13? -1/22 Which is the closest to 878? (a) -4 (b) -1/2 (c) 1/6 (d) 0 c What is the closest to -151 in -1/5, -2/51, -6/11, 0.2, -0.1? -6/11 What is the nearest to -1/2 in -0.3, -124/53, 0.5? -0.3 Which is the closest to 3? (a) 0.4 (b) 5581 (c) -1/12 a Which is the closest to 0.0086? (a) 5 (b) 4 (c) -5 (d) -9 b What is the nearest to -0.19 in -5, -1, -2? -1 Which is the closest to 112103? (a) 1/5 (b) 1/3 (c) -3/5 (d) -5 b What is the closest to 2/5 in 1888, -4, -1/4? -1/4 Which is the nearest to 2? (a) 10 (b) 1/4 (c) 2/23 (d) 0.17 (e) 3 e Which is the nearest to 1? (a) 1 (b) -322.59 (c) -2 (d) 1/2 (e) 2 a Which is the nearest to 0.3? (a) -0.06 (b) 1 (c) -148 (d) 3/4 (e) 5 a What is the closest to -3799 in 4, 1, -0.3, -6? -6 What is the closest to 254 in -3, 0.3, 5, 17, -0.1? 17 What is the nearest to -211 in -16, -0.2, 0.1? -16 What is the closest to -2 in 0, 6236, 1/2, 1? 0 Which is the nearest to -2/7? (a) 0.81 (b) 29 (c) -0.2 c Which is the closest to 2? (a) 339 (b) 1/2 (c) 1 (d) 4 (e) 54 c Which is the nearest to 49? (a) -2/3 (b) 2/11 (c) -0.5 b What is the nearest to 0.1 in 2, 5.2, -0.24? -0.24 Which is the nearest to 71.8? (a) -5 (b) 2 (c) -2/5 b Which is the closest to -0.3? (a) -1/22 (b) 95 (c) -4 a Which is the nearest to 2? (a) 1419 (b) -2/5 (c) 2/15 c Which is the nearest to 2/7455? (a) 3 (b) -3 (c) 4/3 c What is the closest to 4/9 in -0.3, 0.4, -26, 2/81? 0.4 Which is the nearest to -0.6? (a) -1251 (b) 3/4 (c) 4 b What is the closest to 1/8 in -3, -0.2, -0.7, 2? -0.2 Which is the nearest to -1/2? (a) 2/7 (b) -56 (c) 2/9 (d) -1 d Which is the closest to -1/7? (a) -1597 (b) 0.4 (c) 2 b What is the closest to -1/11 in 42, -2.35, -3? -2.35 Which is the nearest to 0.04? (a) -0.3 (b) 3 (c) -0.1 (d) -0.5 c What is the closest to -0.6 in -3/4, -5, 4/7, 35, 2/3? -3/4 What is the closest to 2/7 in 3/17, 3.3, 0.04, -0.02? 3/17 Which is the closest to -0.2? (a) 4 (b) 533 (c) 0.1 (d) -5 c Which is the closest to 2? (a) -3 (b) 2/11 (c) -19 (d) -64 b Which is the closest to -93? (a) -5 (b) -140 (c) -1/3 b Which is the nearest to 2/7? (a) 183 (b) -2/9 (c) -5 b Which is the nearest to 1? (a) -9 (b) 5 (c) -469 b What is the nearest to 2/7 in 1, -8, 0.5, -0.4, -0.27? 0.5 What is the nearest to 0.939 in 5, 4, 3.6? 3.6 What is the n
{ "pile_set_name": "DM Mathematics" }
*3 + 0*i**3. 4*i**3 Expand (0 + 0 + 2*z)*(5 + z - 5) + (2*z - 2 + 2)*(-1 + 2*z + 1). 6*z**2 Expand (-4 + 2 + 0)*(h**2 - 2*h**2 + 6*h**2) + (0 - 3 + 0)*(4*h**2 - h + h). -22*h**2 Expand ((-1 + 1 - q)*(-1 + 0 + 2) - 5 + 5 + 3*q - 2*q + q + 3*q)*(-5*q**2 + 3*q**2 + 3*q**2). 4*q**3 Expand 3*n - 3*n + 2*n + (5 + 2 - 3)*(0*n + 5*n - 3*n) + 3 - 3 - 2*n. 8*n Expand -10*s - 4*s**2 + 10*s + (-2*s**2 + 0*s + 0*s)*(-4 - 2 + 4) + 2*s**2 - 4*s**2 + 3*s**2 - 2*s**2 + s**2 + 2*s**2 - 2*s**2 + 2*s**2 + s**2. 3*s**2 Expand -2*m**4 - m**4 + m**4 + (-3*m**2 + 2*m - 2*m + (-23 + 23 - 8*m**2)*(3 - 5 + 4))*(0*m**2 + 2*m**2 - m**2). -21*m**4 Expand -3*i**2 + 16*i - 16*i + (i - 3 - 2*i + 1)*(1 + 8*i - 1). -11*i**2 - 16*i Expand (10*u**2 - 10*u**2 + 9*u**4 - u**4 + 4*u - 4*u + (-u**2 - 3*u + 3*u)*(u - u + 2*u**2))*(2 + u - 2). 6*u**5 Expand (-2*c**3 + c**3 + 2*c**3)*(2*c**2 - 3 + 3) + 4*c**5 - c**5 + 3*c**5 + (0*c**2 - 3*c**2 + 2*c**2)*(-3*c**3 + 2*c**3 + 3*c**3). 6*c**5 Expand (3*k**2 - 2*k**2 + 0*k**2)*(-4*k + 6*k - 5*k + (-2 + 1 + 2)*(0*k - 4*k + 5*k)). -2*k**3 Expand (-5*w**2 + w**2 + 2*w**2)*(-5*w**2 + 3*w**2 - w**2) + (3*w + 2*w - 2*w)*(2*w**3 + 0*w**3 - 3*w**3). 3*w**4 Expand 0*g**5 + 0*g**5 + g**5 - g**5 + 0*g + 0*g + (2*g - 2*g - 2*g)*(-3*g**4 + 63*g**2 - 63*g**2 - 19). 6*g**5 + 38*g Expand (2*w - 6*w + 2*w)*(5*w**3 - 3*w**3 - w**3) + 2*w**4 + 0*w**4 - 3*w**4 - w**4 + 0 + 0 + (4 - 1 - 2)*(10*w**4 - 12*w**4 - 7*w**4). -13*w**4 Expand 2*k**3 - 2*k**3 - 2*k**5 + (-k**4 - k**4 + 0*k**4)*(0*k + 3*k - k) + 12*k**5 - 5*k**5 + 2*k**5 + (-1 + 1 + k**3)*(5*k**2 - 3*k**2 - 3*k**2). 2*k**5 Expand (2*c + c - 4*c)*(-6 - 2 + 12)*(3*c - 2*c + 6*c). -28*c**2 Expand 3*u**3 - 2*u**3 - u - 4*u + (-3*u**3 + u**3 + 3*u**3)*(0 + 2 + 0) + 1 - u**3 - 1. 2*u**3 - 5*u Expand (-5 + 2 + 2 + (4 + 1 - 4)*(1 - 2 - 1) - 1 - 2 + 1)*(-4*s + 4*s - s). 5*s Expand (-s - 1 + 1)*(-s - 2 + 2)*(8 - 8 + 11*s + (2 - 3 - 1)*(-4*s + s + 4*s) - 1 + 1 + 3*s). 12*s**3 Expand -o**3 + 2*o**2 - 2*o**2 + (3*o - 4*o + 2*o)*(-3*o + 3*o - 2*o**2) - 8*o**3 + 13*o**3 + 11*o**3. 13*o**3 Expand (-4*x + x + 2*x - 1)*(16 + 2 + 3). -21*x - 21 Expand (-5 + 5 - 2*k)*(k**2 - k**2 + 3*k**3) + 2*k**4 + k**2 - k**2 + 0*k**2 - k**4 + 0*k**2 + (2*k**3 + 2*k - 2*k)*(-2*k - k + k). -9*k**4 Expand (2*b**2 - b + b)*(-4*b + b**3 + 4*b) + 0*b**5 - b**5 + 0*b**5 + (0*b - 2*b - 2*b)*(-b**4 + 0*b**4 + 2*b**4). -3*b**5 Expand 0 + 2*x**2 + 1 + 0 + (2*x - 7*x + 4*x)*(0 + 3*x + 0). -x**2 + 1 Expand (i**2 - i**2 - 2*i**4)*(-1 + 4 - 5)*(-8*i - 20*i - 8*i). -144*i**5 Expand (17*i**3 + 8*i**3 - 9*i**3 + (4*i**2 + 3*i**2 - 5*i**2)*(4*i - 3*i + i))*(-6*i**2 + 2*i**2 + 3*i**2). -20*i**5 Expand ((-4 - 3 + 5)*(-b - 1 + 1) + 3 - 3 + b + 2*b + 0 + 0)*(-5 - 2 + 1). -30*b Expand -4 + 4 - 2*q**3 + (q + 2*q**2 - q)*(0*q + 4*q - 3*q) + 3*q**3 + 3*q**3 - 3*q**3 + 5*q**3 + 0*q**3 - 3*q**3 + (0*q - 3*q + 5*q)*(-2*q + 2*q + q**2). 7*q**3 Expand (-3 + 1 + 6)*(5*p - 12*p + 17*p). 40*p Expand (-8 + 3*o**2 + 8)*(-1 + 0 + 4)*(2 + 1 - 2 + (3 - 2 + 1)*(1 - 3 + 4)). 45*o**2 Expand 3 - 4 - 1 + 3*w + (-2 + 3 + 0)*(3*w - w - w). 4*w - 2 Expand (3 + 0 - 5)*(-2*n**2 - 56 + 56 - 3*n). 4*n**2 + 6*n Expand (-1 + 2 - u + 0*u)*(-12*u + 12*u - 5*u**3 + (2*u + 3*u - 3*u)*(-2*u + 2*u + u**2) - 3*u**3 + 0*u**3 + 4*u**3). 2*u**4 - 2*u**3 Expand -6*q**2 + 3*q**2 + 4*q**2 + (2 + 2 - 3)*(4*q - 4*q + 2*q)*(-2*q + 2*q - 3*q). -5*q**2 Expand (-1 - v**2 + 1)*(1 - 357*v - 18*v**2 + 357*v). 18*v**4 - v**2 Expand (-j**3 + 2*j**3 - 7*j**3)*(-j - 2 + 2 - 2*j - j + 2*j + (2 + 2 - 2)*(2*j + j - 4*j)). 24*j**4 Expand 4*n - 4*n + n**5 + 3*n**5 - 2*n**5 + 0*n**5 + 2*n**4 - 2*n**4 - 2*n**5 + (-n + n + 7*n**3)*(2 - 2*n**2 - 2) - 19*n**3 + 19*n**3 - 3*n**5. -17*n**5 Expand -157 + 13*p + 157 + (0 + 0 + 2*p)*(2 - 3 + 2) + p + 3*p - 2*p + 0 + 0 + 2*p + 2*p + 2*p - 5*p. 18*p Expand (2*i**2 - i + i)*(6 - 4 + 11). 26*i**2 Expand ((-1 - s + 1)*(0 + 3 - 4) + 3*s - 3*s - 3*s)*(-3*s**2 - 15 + 15). 6*s**3 Expand -4 + 4 - l + 3 + l - 3 - l + 4*l - l + (5 - 2 - 1)*(3*l - 3*l - l) + 0 - 2*l + 0 - 5*l + 2*l + l + 31*l + 5*l - 10*l. 22*l Expand (2*h - 9 + 9)*(-2*h**4 - h + h) - 2*h**5 + 8*h**5 - 5*h**5. -3*h**5 Expand (l + 2*l**2 - l + (2*l**2 + 2*l - 2*l)*(0 + 0 + 1) - 9 + 9 + 9*l**2)*(5*l**3 - 2*l**3 - l**3). 26*l**5 Expand (-29 + 29 - 7*x)*(2*x - 3*x + 3*x + (-5 + 3 + 3)*(-x - 7*x + 5*x))*(-5 + 1 + 3). -7*x**2 Expand (4*b + 2*b**3 - 4*b)*(-11*b + 3*b + b). -14*b**4 Expand -4*m**2 + 4*m**2 + 2*m**3 + (-1 + 1 - m**3)*(3 - 4 + 2) + 2*m**3 + 3*m**2 - 3*m**2. 3*m**3 Expand (3*x**2 - 5*x**2 + x**2)*(3 - 1 - 5)*(-1 + 1 + x). 3*x**3 Expand 6*y**4 - 5*y**4 + 5*y**4 + (-3*y - 3*y + 4*y)*(5*y**3 - 2*y**3 - 5*y**3) - y**4 + 2*y**4 + y**4 - 4*y**4 + y**4 + y**4. 10*y**4 Expand (-7*x**3 + 6*x**3 + 3*x**2 + x**2)*(x - x - 2*x**2)*(-4 - 1 + 2). -6*x**5 + 24*x**4 Expand (0*h**2 + 2*h**2 + h**2)*(1 + 1 + 1)*(3 - 3 - 1)*((-2*h - 2*h + 2*h)*(1 - 2 + 0) - h + 0*h - 2*h). 9*h**3 Expand (-5 - 2*p + 5)*(-3*p - 2*p + 3*p) - 2*p**2 + 2*p**2 + p**2 + (0 - 1 + 2)*(22*p**2 - 2*p**2 + 27*p**2). 52*p**2 Expand (-3 + 1 + 1)*(-m - m**2 + m) + (-2*m + 0 + 0)*(3*m - m + 0*m) + m - 2*m**2 - m. -5*m**2 Expand (1 + 1 + 0)*(2*a**4 - a**4 - 2*a**4) - 5*a**2 + 0*a**4 + 0*a**4 - a**4. -3*a**4 - 5*a**2 Expand y + 2 - 2 + (0 - 10 - 10)*(-5*y + y + 2*y + (4 - 1 - 5)*(2*y + 2*y - 3*y)). 81*y Expand (-3*w**3 + 7*w**3 - 2*w**3)*(-3*w + 4*w - 2*w)*(5*w - w - w). -6*w**5 Expand (-4*k + 0*k + 2*k)*(-3*k**3 + k**3 + k**3)*(13*k + 26 - 26). 26*k**5 Expand (-3 + 3 + x + 1)*(270 - 265 - 2*x - 7*x). -9*x**2 - 4*x + 5 Expand -3*q**2 + 5*q**3 + 3*q**2 + q**3 - 1 + 1 + (-3 + 3 + q)*(-2*q**2 + 3*q**2 - 2*q**2) + 2*q**3 + 0*q**3 + 0*q**3. 7*q**3 Expand (4 - 2 - 1 + v - 3*v**2)*(-2*v**2 + 5 - 5). 6*v**4 - 2*v**3 - 2*v**2 Expand (-4*h**3 + 7*h**3 + 5*h**3)*(h**2 + 0*h**2 + h**2 + (0*h + h + h)*(0*h + 0*h + 2*h)). 48*h**5 Expand (0*c**4 + 2*c**4 - c**4)*(0*c + 0*c + c) + 2*c**5 + 0*c**5 - c**5 + 3*c**5 - 2*c**5 - 2*c**5. c**5 Expand 3*m**3 - 3*m**3 + 2*m**4 + (-2*m**2 + 4*m**2 - m**2)*(8*m + m**2 - 8*m). 3*m**4 Expand (-l + l - l**3)*(3*l**2 + 3*l**2 - 4*l**2) - l**5 + l**5 + l**5 + 5*l**5 - l**5 - l**5. 2*l**5 Expand -u**4 - 69*u**5 - 7*u**4 + 7*u**4 + 4*u**5 - 2*u**5 - u**5 + (3 + 2*u - 3)*(u**4 - 2*u**4 + 0*u**4) - 3*u**3 + 3*u**3 - 2*u**5. -72*u**5 - u**4 Expand (-5 + 1 + 2)*(-4 + 6 - 20)*(2*j - 3*j - j). -72*j Expand (2*z**2 + 2*z**2 - 5*z**2)*(2*z**3 + 0*z**3 - z**3) + (-9*z + 24 - 24)*(-2*z**4 + 0 + 3*z**4 + 1). -10*z**5 - 9*z Expand l + 0 + 0 - 4*l + 2*l + l - 4*l + 2*l + 3*l + (-2*l + 4*l - 4*l)*(-3 - 2 + 6) - 8*l - 12*l + 45*l. 24*l Expand (-1 + 1 + 1)*(-2 + 3 - 3)*(0 + 3*b + 0 + 2*b + b - b + (-2 + 3 - 3)*(0 + 2*b + 0)). -2*b Expand 2 - 2 - 2*z**3 + (z - z**2 - z)*(-z + 2*z - 2*z) - 3*z**3 + 3*z**3 - z**3 - 3. -2*z**3 - 3 Expand (2 - d - 2 + (-1 + 2 + 0)*(-3*d + 5*d - 3*d) + 4 - 4 - d)*(1 + 0 + 0)*(-4 - 11 + 7). 24*d Expand (8*m**2 + 0*m**2 - 5*m**2)*(-m**2 + 8 - 8). -3*m**4 Expand (1 - 1 + i)*(-4*i + 0*i + 2*i) - 2*i**2 + 17*i**2 + 2*i**2. 15*i**2 Expand (-q - 3*q + 6*q)*(6 - 20 + 5)*(q - 1 + 1) + 2 + q**2 - 2. -17*q**2 Expand (3*s**5 + 3*s**5 - 4*s**5)*(-5 + 1 + 3) - 1 + 1 - s**5 + (1 + 1 - 3)*(-s**5 - 243*s**3 + 243*s**3). -2*s**5 Expand (6*l - 10*l + 9*l)*(0 + 0 + 2). 10*l Expand (-6*f + 2*f + 3*f)*(-13 - 9 - 4)*(-1 + 2 - 2)*(-2*f**3 + 4*f**3 - f**3). -26*f**4 Expand (-4*p + 3*p - 14*p)*(0 - 1 + 2 + (5 + 0 - 3)*(-2 + 3 - 2) - 3 + 5 - 1 + 3 - 1 + 0). -30*p Expand ((-3*w**3 + 2*w**3 + 2*w**3)*(-2*w**2 - 2*w**2 + w**2) - w**5 - w**5 + 4*w**5)*(-1 - 5 + 4). 2*w**5 Expand (-26*f**2 + 38*f**2 + 47*f**2 + (f - 3*f + 0*f)*(f - 5*f + 2*f))*(f**2 + 2*f**2 - f**2 + (f + 4*f - 4*f)*(f + f + 0*f)). 252*f**4 Expand (4*g + g - 2*g)*(0 - 1 + 0 + (-3 + 2 + 2)*(-3 + 1 + 0)). -9*g Expand (0*l + l + 2*l - 2*l + 2*l + l + (-2*l + 2*l + 2*l)*(-2 + 2 - 1))*(-2*l**3 + 4*l**3 - 7*l**3) + 3*l**4 - 4*l**4 + 0*l**4. -11*l**4 Expand -u - u + u + 0*u - u + 0*u + (2*u - 3*u + 5*u)*(-2 - 2 + 2). -10*u Expand 1 - 2*d**2 - 1 + (2 - d - 2)*(3 + d - 3) + (-2*d - d + 2*d)*(2 - 2*d - 2). -d**2 Expand (2 - 4 + 0)*(2*t - 2*t - t)*(0*t**4 + 4*t**4 - t**4). 6*t**5 Expand (-1 - 2*i + 1 + (1 - 2*i - 1)*(-2 - 1 + 1) - 4*i + 6*i + 0*i + 3*i + i - i)*(0*i**4 + 0*i**4 + 2*i**4). 14*i**5 Expand ((-4 + 4 + 2)
{ "pile_set_name": "DM Mathematics" }
ate -0.3 - -0.172007. -0.127993 Subtract 5 from -604297. -604302 What is 2 minus -13.604? 15.604 What is the distance between 4.07 and -4? 8.07 What is 21.3 less than 0.34? -20.96 6107 + -3 6104 What is -4 + 536296? 536292 14001.8 + -5 13996.8 Work out -3194.42 + -0.04. -3194.46 What is 3244 take away -0.1? 3244.1 Total of -3 and -0.27924. -3.27924 Sum 339.7 and 1159. 1498.7 Total of 117470 and 0.05. 117470.05 Add 0.8 and -4348. -4347.2 Add -0.041 and -903. -903.041 Work out 8 + 62. 70 Calculate -0.4 - -163. 162.6 Work out -1331 - -4. -1327 What is 173411 + -0.3? 173410.7 Work out 19788 - 4. 19784 What is 0.029 + -56249? -56248.971 Work out 39094 + -13. 39081 Work out -5.9 - -5.4. -0.5 What is -560 + 1? -559 What is -0.16 less than -3.36? -3.2 Add together 1.2 and -0.0564756. 1.1435244 What is -0.2 less than 1079252? 1079252.2 Add -0.4 and -1027. -1027.4 What is 8 + -11.67? -3.67 Total of 0.15 and -3. -2.85 Sum -4.654 and -0.0354. -4.6894 -494 - -94 -400 What is -0.05 less than 90054? 90054.05 Add 0.5482 and -4. -3.4518 What is -0.2 less than -43.76358? -43.56358 -2+955.6 953.6 What is -49 less than 3.91? 52.91 Subtract 0 from 11466.9. 11466.9 Subtract -2 from -8086.91. -8084.91 -3+-14.3955 -17.3955 Sum 2417 and -6. 2411 Sum -9367 and -7.3. -9374.3 Work out -8732.095 + -0.5. -8732.595 Calculate 0.2 + 1017482. 1017482.2 Work out -1.4626904 - 3. -4.4626904 What is -0.26 plus 0.0769? -0.1831 Add 0.08 and -1.61. -1.53 What is the distance between -672 and -1? 671 Work out 0.08266 - 2. -1.91734 What is the difference between -0.15886 and 2.05? 2.20886 Total of 15 and -23941. -23926 Calculate -8 + 0.119. -7.881 312.3 - -1.1 313.4 Add together -0.3 and -2804.2. -2804.5 Calculate 1 - 301. -300 Calculate 0.0196307 + -5. -4.9803693 -24705 + 0.4 -24704.6 Put together -0.03 and -0.0425. -0.0725 What is -1.3 less than -9916? -9914.7 Work out -0.4 + -0.21882. -0.61882 Calculate 170 - 0.1936. 169.8064 What is 0.4 less than 42339? 42338.6 What is the difference between 3 and 20625? 20622 What is 41735 - -0.3? 41735.3 What is -0.25112 take away -0.2? -0.05112 Work out -1.5 + 220. 218.5 Calculate -0.114 - -25. 24.886 What is the distance between -4039 and -0.8? 4038.2 What is 40 - 55.7? -15.7 What is -19.732 + 0.08? -19.652 What is 2555.8 + 25? 2580.8 Calculate 1 - -11135. 11136 Sum -475.6 and -1. -476.6 Total of 59 and 0.3. 59.3 Add -1 and 172325. 172324 What is the distance between -359 and 24? 383 Put together -8.5 and -472. -480.5 Subtract -0.02 from 16.93. 16.95 -3+-0.06 -3.06 Calculate -85.9 + -1. -86.9 What is -259 + -1? -260 What is 569 plus 5686? 6255 What is -8640 take away 7.8? -8647.8 Add together 0.2 and 39.5. 39.7 Total of -0.39 and -6303. -6303.39 Sum 0 and -447. -447 Work out -4 + 32.77. 28.77 -5578 - -48 -5530 -3 - 40.957 -43.957 What is -13853 plus -58? -13911 Work out 8531.94 - -1. 8532.94 What is 2782 - 3.7? 2778.3 What is -21.6 + -277? -298.6 Add together -36092 and 2. -36090 -0.013+973 972.987 What is 36099 take away 4? 36095 Work out -354 - 96. -450 What is -107 + 0.18745? -106.81255 What is the difference between 0.046 and -54? 54.046 Subtract 86.02 from 0.4. -85.62 Work out -0.642 - -0.37. -0.272 0.3 + -5111 -5110.7 Subtract 418 from -0.09. -418.09 What is 3.8 - 38.6? -34.8 What is -0.5 take away 923.17? -923.67 Add together -0.657 and -0.089. -0.746 What is -0.5 + 0.1329? -0.3671 -1.06098 - -14 12.93902 What is 9 less than -24.81? -33.81 Total of -0.02 and -0.31256. -0.33256 What is -0.3 take away 1030? -1030.3 Add together -1.3159 and 3. 1.6841 Work out -0.5 - 47392. -47392.5 Calculate 35.7 + 0.12. 35.82 What is -0.4 - -205294? 205293.6 Add -0.34 and -133. -133.34 Add together -11.6 and -374. -385.6 Put together -115.89 and 4. -111.89 What is 2130741 + 0.2? 2130741.2 What is 0.012 - 31.174? -31.162 What is -43788 + 3? -43785 What is 5 minus -1247? 1252 What is the difference between 0.74705 and -2.63? 3.37705 -1300 - -5 -1295 Add together 3301 and -0.08. 3300.92 Subtract 4 from -693. -697 -261 - 0.074 -261.074 Put together 0.0221 and -0.119. -0.0969 What is 38 + 3447? 3485 Calculate -34579 - -1. -34578 Calculate -10127 - 92. -10219 Add -2519 and -76.3. -2595.3 What is 0.01611 - 0? 0.01611 What is -33 minus -358? 325 What is 96 take away 0.141? 95.859 What is 0.80805 + 17? 17.80805 Subtract -2 from -3.02. -1.02 0.4 + -1.15 -0.75 -20 - 48 -68 Add together 78 and -94559. -94481 Sum -28 and 335. 307 Calculate -6 - 35.1. -41.1 Total of 8879.3 and -10. 8869.3 What is the distance between 290 and -453? 743 Total of 206 and 1728. 1934 What is -0.04575 minus 0.3? -0.34575 What is 631 less than 1706? 1075 What is the difference between -135400 and 0.4? 135400.4 Put together -14.65 and -2.17. -16.82 -5091+-0.1 -5091.1 What is -1 take away -11705? 11704 Add together -278 and 0.23. -277.77 Work out 0.12972 - 1.1. -0.97028 Work out 242285.7 + 0.3. 242286 Total of -357057 and 8. -357049 What is 523 take away -0.06? 523.06 Put together 1894.07 and 0.2. 1894.27 What is -2.7 - -1939.3? 1936.6 Work out -0.1 - -131409. 131408.9 Put together -325 and -0.8. -325.8 What is -4705 take away -0.071? -4704.929 Add together 0.6 and 10251. 10251.6 Calculate -5.2919 + 12. 6.7081 Calculate 0.2 + 241.7. 241.9 What is 0.04735 plus -0.2? -0.15265 What is -0.272 take away 1.386? -1.658 Add together 0.5 and 376. 376.5 514150 - 2 514148 What is the difference between -0.2 and -6.2? 6 What is 0.2 + -3841? -3840.8 Calculate -0.082992 + -3. -3.082992 What is -8 - 2.179? -10.179 Calculate -135.01 - 318. -453.01 Calculate -351.6 - -4. -347.6 -3+-10972 -10975 What is the distance between -665 and -2? 663 What is -0.5 minus 0.0242? -0.5242 Sum 0.2 and 1643.9. 1644.1 Sum -0.034 and 449. 448.966 -8335+25 -8310 What is 17 - -0.1257? 17.1257 2358+-0.0103 2357.9897 Add 10.8746 and 5. 15.8746 What is the distance between 1345 and -4? 1349 -1026.7+-0.0577 -1026.7577 What is 0.1 minus -10677? 10677.1 Add together -2037 and 0.06. -2036.94 Put together 119 and -0.049. 118.951 What is -7 less than 732.3? 739.3 Subtract 452814 from 6. -452808 What is the distance between -348 and 0.246? 348.246 What is 0.4 + 573? 573.4 Work out 0.4 - 42514. -42513.6 What is -9.00717 - -1? -8.00717 Work out 7 - -0.51. 7.51 Work out -9150.1 - 6. -9156.1 Subtract 0.4 from 282350. 282349.6 Work out -0.27 - -1.44. 1.17 Work out 0.5 + 11920. 11920.5 -0.84 - 21.025 -21.865 105831+-0.43 105830.57 Calculate -0.2 - -0.05664. -0.14336 What is the difference between 1 and -1237748? 1237749 Calculate -361.023 + 3. -358.023 What is 86 less than 5? -81 Subtract 135 from -7. -142 What is the distance between 310.6 and -62? 372.6 Work out -8 - -0.0159. -7.9841 What is the distance between -878 and -0.6? 877.4 What is the difference between 0.2 and -149.1? 149.3 What is -0.0533 + 0.11? 0.0567 Sum -332165 and 0.4. -332164.6 Add 0.407 and -0.3. 0.107 What is -0.1 minus 0.1364? -0.2364 What is -0.3 take away 1.289? -1.589 What is -26 take away -662? 636 Work out -0.03 - -996.57. 996.54 0.2 + 887.585 887.785 Work out -2114 + -13. -2127 Total of -132 and -0.69. -132.69 What is -2.47 - -0.876? -1.594 What is the difference between 17675 and 5? 17670 Add -59 and 124. 65 Total of -12 and 0.026. -11.974 What is 3.42 plus 0.078? 3.498 What is -52 - 152.7? -204.7 Subtract 0.0226 from -157. -157.0226 Calculate -309 - -1.2. -307.8 Subtract 0.2 from -95.806. -96.006 Work out -36.7 - -47. 10.3 0.23 + 6101 6101.23 Work out -60363 - -48. -60315 What is the distance between -0.2 and 181.3441? 181.5441 What is the distance between 1.3 and -22603.6? 22604.9 -1.5 + -606 -607.5 Calculate 0.19 - -26.28. 26.47 Calculate 12 - -1243. 1255 Add 1.66 and -63. -61.34 Work out 18627 + 0.01. 18627.01 Subtract 6031 from 0.823. -6030.177 -129 - -35 -94 Sum -191 and 4.7783. -186.2217 3 + -3872 -3869 What is -63596 - 0.39? -63596.39 What is -39 + 27109? 27070 Calculate 0 - 692.38. -692.38 What is 8 less than 141? 133 -0.033283 + -0.09 -0.123283 What is 2 + 0.26? 2.26 Subtract 0.3 from 0.8337. 0.5337 Calculate 5.3331 + -0.05. 5.2831 What is 0.5 - 0.394? 0.106 Total of -78 and -0.36. -78.36 0.03+-84985 -84984.97 Calculate 0.1 - -0.005043. 0.105043 Total of 1620 and -0.1006. 1619.8994 What is -31 minus 25041? -25072 Add together -392 and -9. -401 Add togeth
{ "pile_set_name": "DM Mathematics" }
. Let g be u(5). Let v be (-4)/g + (-7602)/(-63). Suppose -25*i - v = -30*i. What is the units digit of i? 4 Let s(z) = 108*z + 72. What is the tens digit of s(5)? 1 Suppose -3*p + 2*p = -2*h - 2, 3*h - 3*p = 0. What is the units digit of (14/35)/(h/(-180))? 6 Suppose -2*l + 4 = 4*r - 4, -4*l = r - 16. Suppose r = -3*p - 6*a + a + 48, -2*p - 2*a = -32. What is the tens digit of p? 1 Suppose 0 = -5*b + 7*b - 14. What is the units digit of b? 7 Suppose -4*k - 41 = -2*k + 5*v, 0 = 3*k + 3*v + 57. Let z = k + 17. Let a(n) = -48*n + 1. What is the units digit of a(z)? 9 Let v be -3 - (3 - 3)*(-4)/(-8). Let g(l) = 13*l**2 + 6*l + 16. What is the hundreds digit of g(v)? 1 Let b = -629 - -1258. What is the tens digit of b? 2 Let v = 599 - 233. What is the tens digit of v? 6 Suppose -5*v - 26 = -4*i, 8 + 6 = i - 5*v. Suppose -j = i*d - 13, 3*d = -0*d + 2*j - 4. Suppose -d*p - 3*h + 0*h = -31, -15 = 3*h. What is the units digit of p? 3 Let x = 73 - 59. What is the tens digit of 7/x - ((-818)/4 - 0)? 0 Suppose 19*l = 13*l + 6570. What is the thousands digit of l? 1 Suppose 2*m - 5*y - 2 + 541 = 0, y - 262 = m. Let d = m + 508. What is the tens digit of d? 5 Let f = 250 + 9. What is the hundreds digit of f? 2 Suppose 4 = -2*g, 0 = -i + g - 5*g + 265. Suppose 0 = -5*k + z + i, 279 = 4*k + k + 2*z. What is the units digit of k? 5 Let z(l) be the second derivative of 0*l**3 + 3/2*l**2 + 0 + 1/4*l**4 - 4*l. What is the tens digit of z(3)? 3 Let n(r) = 300*r - 152. What is the thousands digit of n(6)? 1 Suppose 0 = -16*i - 10293 + 50421. What is the thousands digit of i? 2 Let r be 84/(-15) + 4/(-10). Let g = 9 + r. What is the units digit of g*8/(-60)*-25? 0 Let z(l) = 4*l**2 + 4*l + 3. Let k be z(-2). Let w be (-1)/(-4) + k/4. Suppose 2*r = s - 2*s + 13, 3 = -w*s. What is the units digit of r? 7 Suppose 0 = i - 2*a - 94 + 34, -5*i + 267 = a. Let j(n) = -5*n + 1. Let d be j(1). What is the units digit of i/2*d/(-12)? 9 Let y be 9/(27/12) - 12. What is the units digit of (y - -6)/(4/(-94)) + -1? 6 Let g be 368/20 + (-2)/5. Let y = g + 1. What is the tens digit of y? 1 Suppose -1058 = 23*k - 4324. What is the tens digit of k? 4 What is the hundreds digit of 4734/22 + 4/132*-6? 2 Suppose 12*t - 7*t - 20 = 0. What is the tens digit of t/12*-3 - -42? 4 Let a = -20 - -14. Let b be 15/a*(-3 - -1007). What is the tens digit of (-2)/(-12) + b/(-60)? 4 What is the thousands digit of -21*(-8)/28 - -1459? 1 Let w = 4129 + -2733. What is the thousands digit of w? 1 Let x(d) = d + 6. Let q be x(-6). Suppose -l + 4 = -q*l. Suppose 2 = -5*v + 7, 4*m = l*v + 76. What is the units digit of m? 0 Suppose 12 = 4*q + 4*m, m + 7 = 3*q + 5*m. Suppose -q*x = x - 330. What is the tens digit of x? 5 Let v(q) = -2*q - 6. Let a be v(-6). Suppose 53 = i - a. What is the tens digit of i? 5 Let n(p) = 2*p**2 + 2*p - 6. Let i be n(3). Let d(b) = -5*b + i*b + 0*b. What is the units digit of d(2)? 6 Let z(m) = -9*m**2 - 2*m + 2. Let a be z(-2). Let p = -28 - a. Suppose p*x - 100 = -2. What is the tens digit of x? 4 Suppose -4*y + 547 = -13133. What is the thousands digit of y? 3 Suppose -658 = -2*r + 1922. What is the hundreds digit of r? 2 Suppose 21 - 56 = -7*y. Suppose -y*u - 101 = -0*d - d, 5*u - 20 = 0. What is the units digit of d? 1 Suppose -5*g = 5*i - 380, 3*g = -0*g - 9. Let j = i + -44. What is the units digit of j? 5 Let z be (-1 + -160)*(3 - (-8)/(-2)). Suppose 2*w + 25 = 2*k + z, -w + 53 = -4*k. What is the tens digit of w? 7 Let q(x) be the third derivative of -1/60*x**5 + 0 + 1/3*x**3 + 0*x - 3*x**2 + 1/24*x**4. What is the units digit of q(0)? 2 Let z(j) = -199*j - 61. What is the units digit of z(-9)? 0 Let i be (3 + -2)*(-2 + (-54)/(-2)). Suppose 0 = 23*g - 18*g - i. What is the units digit of g? 5 What is the tens digit of (-8346)/(-9) - 1*6/(-9)? 2 Suppose -2*c + 2513 = 3*g, -4*g - 3*c + 4188 = g. What is the hundreds digit of g? 8 Let w(y) = 210*y**2 - 8*y - 20. What is the units digit of w(-3)? 4 Let f(z) = z**2 + 2*z - 3. Let h be (1 - 2)/((-1)/(-3)). Let j be f(h). Suppose j*n = 2*n + 6, -3 = -3*l - 3*n. What is the units digit of l? 4 Let q = 1369 - 514. What is the units digit of q? 5 What is the hundreds digit of 2*((-1)/(-6))/(6/35658)? 9 Suppose 5*r = -4*v - 116 - 60, 3*v = -3*r - 129. Suppose 5*w + 4*k + 39 + 28 = 0, 5*k = 4*w + 70. Let s = w - v. What is the units digit of s? 4 Suppose 16*s + 4*p - 164 = 15*s, s = -3*p + 161. What is the tens digit of s? 5 Let i(v) = -v**3 - v + 1. Let z be i(1). Let y(c) = -116*c**2 + 1 + 116*c**2 + 70*c**2 + c + 0*c. What is the tens digit of y(z)? 7 What is the tens digit of (-4 - (-44)/4) + 368? 7 Let k(t) = t**2 + 9*t - 11*t + 5 - 9*t - 33. What is the tens digit of k(14)? 1 Let y(o) = -o + 23. Let a be y(0). Suppose -5*f + 893 - 753 = 0. Suppose -a*x + f*x = 30. What is the units digit of x? 6 Suppose -3*u + 5*u = v + 109, 119 = 2*u + v. Let n = 8 + u. What is the tens digit of n? 6 Let d(f) be the second derivative of f**5/20 - 11*f**4/12 - 4*f**3/3 + 6*f**2 + 11*f. What is the tens digit of d(12)? 6 Let p = 688 + -310. Suppose -7*g = -g - p. What is the units digit of g? 3 Let i(q) = -2*q**3 + 2*q**2 + 2*q - 2. Let o be i(2). Let a = o - -11. Suppose a*v = 5, -3*b - 2*v = 2 - 49. What is the tens digit of b? 1 Let n(l) be the first derivative of l**3/3 - 11*l**2/2 + 5*l - 10. Let z be n(11). Suppose 184 = 4*m + o, 4*m - z*o - 205 = -m. What is the units digit of m? 5 Let m(s) = -340*s - 74. What is the tens digit of m(-3)? 4 Let f(o) = -o**3 + 16*o**2 + 2*o + 20. Let x be f(16). What is the units digit of 8*594/39 + 8/x? 2 Let z(t) = -t**3 - 2*t**2 + 3*t - 2. Let k be z(2). What is the tens digit of 267/4 - -1*(-3)/k? 6 Let q(r) = 34*r + 113. What is the units digit of q(9)? 9 Suppose l + 25 = -20. Let r = 33 - l. What is the units digit of r? 8 Suppose -3*n + 4*n = 24. What is the units digit of (7/(-4))/((-2)/n)? 1 Let x(o) = o + 49. Let f be x(-23). Suppose f = -3*r + 638. What is the units digit of r? 4 Let y(i) = -i**3 + 9*i**2 - 10*i + 5. Let h be y(8). Let c = h - -15. Suppose -2*d = 3*d - q - 54, -c*q + 34 = 5*d. What is the units digit of d? 0 Let u(a) = 28*a**2 + 19*a - 26. What is the thousands digit of u(12)? 4 Let o(w) = -w**3 + 10*w**2 + 10*w + 17. Let s be o(11). Suppose 0 = -3*g - 5*d + 259, s*d - 9*d = -2*g + 141. What is the tens digit of g? 7 Suppose -26 - 31 = -3*w. Suppose w - 3 = 4*p. Suppose p*i = 5*i - 19. What is the tens digit of i? 1 Let p(v) = -v**3 - 15*v**2 + 11*v + 30. Suppose -1 = 2*d + 31. What is the tens digit of p(d)? 1 Suppose -2*u = u. Suppose u = -2*s + 6*s - 144. What is the tens digit of s? 3 Let l(u) = 183*u - 119. What is the tens digit of l(9)? 2 Let k(i) = -3*i**3 - i**2 - 2*i. Let y be k(2). Let m = 62 + y. What is the units digit of -1 - m/(-9)*12? 9 Suppose 5*b = i + 22, -2*i + b = -2*b + 23. Let w(z) = 2*z**2 + 14*z. Let u be w(i). Suppose -2*j - 10 = 0, u = p + p - 3*j - 23. What is the units digit of p? 4 Let r = 263 - 191. What is the units digit of r? 2 Let a(r) = -2 + 2 + 2 - 2*r. Let d be a(0). Suppose z - b = -6*b + 23, d*z - 72 = 3*b. What is the units digit of z? 3 Let z = -57 + 232. Suppose 4*g = 5*m - 876, 0*g + z = m - g. What is the units digit of m? 6 Let p be 4/1*(-90)/80*6. Let i = 119 - 69. Let j = p + i. What is the units digit of j? 3 Let w = 696 + -479. What is the tens digit of w? 1 Let d = -1910 - -4078. What is the hundreds digit of d? 1 Suppose 2*m = 4*s - 16, -2*s = -0*s + 4*m - 8. Let l be s/(-10) + (-626)/10. What is the tens digit of (-2093)/l - 4/18? 3 Let p = -28 + 62. Let f = 98 - p. What is the units digit of f? 4 Let t = -133 - -89. Let k = 91 + t. What is the units digit of k? 7 Let i(k) = k**3 + 52*k**2 + 40*k - 61. What is the units digit of i(-51)? 0 Suppose 2 = c - 0. Suppose 2*s = 3*s - 1, -c*v + 17 = 5*s. Suppose -v*k + 85 = -k. What is the tens digit of k? 1 Let g be -2*9/(-6) - 1. Suppose n - 3*u = -4*u + 63, 4*n = u + 252. Suppose -5*m + n + g = 0. What is the units digit of m? 3 Let o = 10 - 16. Let l be (-3 + 33)/(o/(-4)). What is the units digit of -1 - l*(-1)/1? 9 Suppose 5*j - 440 = -3*j. What is the units digit of j? 5 Let y(h) = 21 - h**2 + 0*h - 6*h + 0*h**2 - 6. Let f be y(-7). What is the tens digit of (f + -4 - -7)
{ "pile_set_name": "DM Mathematics" }
is divided by r? 4 Let s(y) = -8*y**3 - 5*y**2 - 2*y + 4. Let f(g) = -71*g + 369. Calculate the remainder when s(-3) is divided by f(5). 13 Suppose 0 = -z - 0*z - z. Suppose -l + 28 + 2 = z. Calculate the remainder when l is divided by 11. 8 Let t = 6 - -9. Suppose -2*v = -t - 77. Calculate the remainder when 181 is divided by v. 43 Let i(q) = 2*q + 6. Let a be i(-4). Let k = 15 - a. Let j = k + -15. What is the remainder when 3 is divided by j? 1 Let j = -614 + 651. What is the remainder when 476 is divided by j? 32 Let p(h) = -6*h**2 - 5*h + 2. Let b be p(2). What is the remainder when 12 is divided by (3 - 1)/((-8)/b)? 4 Suppose 1 = -0*x - x. Let c = x + 1. Suppose 5*f + 34 = y - 1, c = -2*y - 2*f + 82. What is the remainder when y is divided by 21? 19 Suppose 5*y - 9 = -2*g, -14 = g - 3*g - 4*y. Suppose -g*z - 7 = -16*z. Let s(l) = -l**3 - 6*l**2 + 4*l - 7. What is the remainder when s(z) is divided by 3? 2 Let g(l) = -5*l - 25. Let c be g(-11). Suppose -7*y = -4*k - 2*y + 40, 0 = -3*k - 5*y + c. Calculate the remainder when 37 is divided by k. 7 Let j(a) = a + 24. Calculate the remainder when 113 is divided by j(15). 35 Let x(a) = 207*a**3 - 2*a**2 + 1. What is the remainder when x(1) is divided by 30? 26 Suppose 0 = -301*z + 319*z - 486. Let r(m) = 39*m + 1. Calculate the remainder when r(2) is divided by z. 25 Let n be (-822)/(-4)*20/15. Let m = n + -172. Let b = m + -57. What is the remainder when b is divided by 16? 13 Let v(r) = 72*r**2 - 3*r + 1. Let z be v(1). Suppose -10*h + 8*h = -z. Calculate the remainder when h is divided by 19. 16 Let m(x) = -x**3 + 8*x**2 - 7*x + 2. Let z(b) = -b**3 - 9*b**2 + 8. Let n be z(-9). Suppose n = 3*a - a. What is the remainder when a is divided by m(7)? 0 Let r(x) = 3*x + 139. What is the remainder when r(-31) is divided by 14? 4 Let g = -260 + 478. Calculate the remainder when g is divided by 56. 50 What is the remainder when 3716 is divided by ((-10)/(-60))/((-4)/(-4056))? 167 Let f be (19/57)/((-1)/(-12)). Calculate the remainder when 78 is divided by (-2*5)/(f/(-8)). 18 Suppose t = 39 - 10. Let q = 194 + -81. Calculate the remainder when q is divided by t. 26 Let b(u) = -14*u - 206. What is the remainder when b(-17) is divided by 11? 10 What is the remainder when (1/1)/2 + 22161/166 is divided by 50? 34 Let n(k) = k**3 + 11*k**2 + 15*k + 74. Calculate the remainder when 109 is divided by n(-10). 13 Let u = -525 + 607. Suppose -2 = -d + 2*n, -5*d = -0*d + 2*n - 70. Calculate the remainder when u is divided by d. 10 Suppose -25*n + 29*n = 0. Let t(s) = s**3 - 2*s**2 - s + 17. Calculate the remainder when 31 is divided by t(n). 14 Let y(m) = m**3 + 13*m**2 + 23*m + 138. Let u(r) = 2*r**2 - 2*r - 2. What is the remainder when u(-2) is divided by y(-12)? 4 Calculate the remainder when 83 is divided by 2 - 2 - (-31 + -9) - 3. 9 What is the remainder when 222 is divided by (3 - (3 + -1)) + 540/20? 26 Let s = -24 + 227. Calculate the remainder when s is divided by 51. 50 Suppose 3*h = 185 - 62. What is the remainder when ((-32)/6)/(3/(-45)) is divided by h? 39 Let r = -2 + 4. What is the remainder when ((-5)/10)/(r/(-100)) is divided by 7? 4 Suppose -47*d + 78*d - 434 = 0. What is the remainder when 39 is divided by d? 11 Let m(y) = y**3 - 2*y**2 - y - 4. Let l be m(3). Suppose 3*g + 24 = f, 96 = 3*f - 2*g + 5*g. Calculate the remainder when f is divided by (-8)/(-1*l)*2. 6 Let a = -1540 + 2278. Calculate the remainder when a is divided by 19. 16 Let x(d) = -9*d - 168. Calculate the remainder when 155 is divided by x(-23). 38 What is the remainder when (1 + 8)*18 + -9 is divided by 13? 10 What is the remainder when 274 is divided by (-10)/35 + 3285/105? 26 Let q be ((-6)/6)/(2/(-12)). Suppose -q*w - w + 343 = 0. What is the remainder when w is divided by 26? 23 What is the remainder when 1038 is divided by 2*-28*22/(-77)? 14 Let p(r) = 3*r + r**2 + 0*r + 13 + 0. Calculate the remainder when p(-7) is divided by 11. 8 Suppose 5*d + 84 = 3*t + 234, 2*d - 56 = 2*t. What is the remainder when d is divided by 16? 1 Let w = 691 - 666. Calculate the remainder when 1097 is divided by w. 22 Let t = 76 + -189. Let z = t + 180. What is the remainder when z is divided by (-3)/(-1*9/51)? 16 Let b = 15 + -6. Suppose u - 2*n - 3*n = -24, 0 = -4*u + 3*n - 181. Let v = 63 + u. Calculate the remainder when v is divided by b. 5 What is the remainder when 116 is divided by (8/10)/((-4)/(-90))? 8 Let f(o) = -o**3 - 4*o**2 + 3*o + 6. Let w be f(-4). Let b(u) = -5*u**2 + 5*u - 1 - 2 - u**3 + 5. What is the remainder when b(w) is divided by 3? 2 Suppose 6*q - 4*c = 148, -c + 53 = 2*q - 6*c. What is the remainder when 405 is divided by q? 21 What is the remainder when (463 - 0 - 1)*(-291)/(-873) is divided by 40? 34 Let s(r) = -r**2 - 3*r + 4. Let p be s(-4). What is the remainder when p/10 - (-104)/1 is divided by 21? 20 Suppose -108 = -2*g + c, -2*g + c - 210 = -6*g. Let j = g - 26. Calculate the remainder when j is divided by 14. 13 Calculate the remainder when 118 is divided by (4 - 6)*(-60)/8. 13 Let h = 14 + -9. Let s(j) = j**3 - 3*j**2 - 2*j + 16. Let v be s(3). Suppose v + 0 = h*d. What is the remainder when d is divided by 2? 0 Suppose -62 = 5*m - 5*x - 162, -70 = -5*m - 5*x. Let n = -41 + m. Calculate the remainder when (-24)/(-8) - (n - 2) is divided by 16. 13 Let a be (-16)/(-6)*(-69)/46. Let b(q) = 1. Let t(f) = f**2 + f. Let z(g) = -b(g) + t(g). What is the remainder when z(a) is divided by 3? 2 Let d(j) = -2*j + 3. Suppose 5*f + 308 = 3*l, 5*l = -4*f - f + 460. Let q = -53 + l. Calculate the remainder when q is divided by d(-3). 7 Let a(o) = o**2 + 13*o + 5. Let k be a(-11). Let u = 26 + k. Let l = u + 0. Calculate the remainder when 22 is divided by l. 4 Let i be (-1)/2 - (-236)/8. Let u(w) = -w**2 + 7*w + 128. What is the remainder when i + 1*(-1 + 3) is divided by u(-8)? 7 Let c(l) = 3*l**2 - 2*l - 1. Let s be c(-2). Suppose -5*p + 130 - s = 0. Calculate the remainder when p is divided by (8/5)/((-12)/(-90)). 11 Suppose -6*x = -9*x + 3*u + 105, -4*x + 3*u + 138 = 0. Calculate the remainder when 416 is divided by x. 20 Suppose 5*x + 5*q - 440 = 0, 5*x - q = 460 - 38. What is the remainder when 422 is divided by x? 82 Let y = -17 + 24. Suppose -4*h = -3*c, 4*c = -0*c + 3*h + 7. Suppose c*s - 111 = b, b - 14 = -2*s + 37. What is the remainder when s is divided by y? 6 Suppose 4*r - 3*w + 0*w = 132, 0 = -4*r + 4*w + 132. Let y = r - 5. What is the remainder when 108 is divided by y? 24 Let s be 4/8 - (-207)/6. Let g(x) = x**3 + 12*x**2 + 9. What is the remainder when g(-12) is divided by 3 - (-7)/(s/15)? 3 Let z(p) = 14*p - 39. Calculate the remainder when z(5) is divided by 7. 3 Suppose -2*n + 5*q = -32, -n - 4*q + 36 = 3*n. Let u(r) = -r**3 - r**2 + r - 3. Suppose 7 + 1 = -2*h. What is the remainder when u(h) is divided by n? 8 Suppose 0 = -12*n - 318 + 462. Let s = 93 - 47. Calculate the remainder when s is divided by n. 10 Suppose 2*d = 8 + 2. Let a = d + -3. Calculate the remainder when (6/(-4))/(a/(-48)) is divided by 13. 10 What is the remainder when ((-4)/16)/((-3)/(-342))*-4 is divided by 33? 15 Let q = 166 - -83. Calculate the remainder when q is divided by 50. 49 Suppose 964 = 5*l + 2*x + 51, -730 = -4*l - 2*x. Calculate the remainder when l is divided by 59 - -42*4/(-14). 42 Suppose 9 = 11*b - 233. What is the remainder when 431 is divided by b? 13 Let y(h) = -h**2 + 12*h - 18. Let g be y(10). Let p be ((-14)/(-2))/((-2)/26). What is the remainder when 12/(-18)*(p - g) is divided by 16? 14 Suppose -f - 45 = -5*r, -5*r - f + 27 = -r. Suppose -2*m = -0*m - r, 17 = 3*c - m. Calculate the remainder when c is divided by 4. 3 Calculate the remainder when 28 is divided by -152*(-5)/(49 - 9). 9 Suppose -4*x + 14 = q - 13, -3*q - 5*x = -60. Let u = 15 - q. Calculate the remainder when 7 is divided by (u - 3) + (5 - 0). 1 Let b = 2 - 7. Let r = b - -6. Let x = -43 - -46. Calculate the remainder when x is divided by r. 0 Let i be ((-54)/4)/(4 - 36/8). Suppose 9*d - 306 - i = 0. Calculate the remainder when d is divided by 14. 9 Let m(v) = 4*v**2. Let d be m(1). Let h be (-27 + -1)*(-3)/d. Suppose -h = -n + 2. Calculate the remainder when n is divided by 13. 10 Let o = -39 + 41. Calculate the remainder when
{ "pile_set_name": "DM Mathematics" }
ative of -4*g**5 - 745*g**4/4 + 20*g**3/3 + 745*g**2/2 + 12892. Suppose p(j) = 0. What is j? -149/4, -1, 0, 1 Let -2/9*n**5 + 24 + 208/9*n + 58/9*n**4 - 34/3*n**3 - 170/9*n**2 = 0. What is n? -1, 2, 27 Suppose k - 4*r + 8 = -0*r, 4*r + 8 = 5*k. Suppose -k*f + 38 = 30. Let f*d**2 + 6*d + 3*d**3 - 14*d - d**4 + 2*d**2 - d**3 = 0. What is d? -2, 0, 2 Suppose 208598 = -70*c + 41368. Let a = c - -2392. What is h in -246/5*h**2 + 12/5*h + 48/5 + 12*h**a = 0? -2/5, 1/2, 4 Let v(k) be the second derivative of 98*k + 42/13*k**2 - 125/39*k**3 + 41/26*k**4 - 3/10*k**5 - 1/195*k**6 + 0. Determine l so that v(l) = 0. -42, 1 Let s = -85/267 + 201/445. Factor -14/15*w**2 + s*w**3 + 28/15*w - 16/15. 2*(w - 4)*(w - 2)*(w - 1)/15 Let f = -406 + 514. Let g = f - 106. Find c, given that g*c**2 + 1 + 1/2*c**3 + 5/2*c = 0. -2, -1 Let j(r) = -r**2 - 14*r + 2. Let s be j(-14). Determine h, given that -s*h**3 - 20*h**2 - 5*h - 3*h**5 - 2*h**5 + 10*h**4 + 3*h**3 + 9*h**3 + 10 = 0. -1, 1, 2 Let u be -5 - ((-6)/(5 + -3) + 4). Let i(t) = -4*t**3 + 10*t**2 - 12*t - 6. Let d(l) = l**3 + 1. Let y(v) = u*d(v) - i(v). Factor y(g). -2*g*(g - 1)*(g + 6) Let c(i) be the second derivative of -i**4/30 + 44*i**3/15 - 43*i**2/5 + i - 2524. Find d such that c(d) = 0. 1, 43 Let t(a) be the first derivative of -16/3*a + 4/27*a**3 - 20 + 8/9*a**2. Suppose t(v) = 0. Calculate v. -6, 2 Suppose 12*x - 182 + 62 = 0. Factor 51*d**4 - 99*d**4 + d**2 + 2*d**5 + 46*d**4 - x*d**3 - 7*d**2. 2*d**2*(d - 3)*(d + 1)**2 Let f be ((-3990)/24 - -4)*-4. Let o = f + -649. Factor 2/3*n**2 + o*n + 0. 2*n**2/3 Let b(k) be the second derivative of k**5/5 - 13*k**4 + 138*k**3 + 7406*k**2 + 5*k. Suppose b(d) = 0. Calculate d. -7, 23 Let v = 572 + -355. Factor v*i - 4 - 448*i - i**2 + 226*i. -(i + 1)*(i + 4) Let h(w) be the first derivative of -w**4/36 + 10*w**3/27 + 175*w**2/18 + 500*w/9 + 1966. Factor h(v). -(v - 20)*(v + 5)**2/9 Suppose -9 = -15*z + 21. Determine f so that f**3 - 27 + 20*f**z + 15*f**3 - 3*f**4 + 10*f**2 - 16*f**3 = 0. -3, -1, 1, 3 Let j be 3/90*-1821*(-90)/(-12). Let f = j + 456. What is g in -3/4*g**2 + 0*g**3 + 3/8*g + 0 - 3/8*g**5 + f*g**4 = 0? -1, 0, 1 Let k(v) = 37*v - 6 + 26 + 12 - 3*v**2 - 14*v. Let g(w) = 2*w**2 - 22*w - 33. Let n(y) = -2*g(y) - 3*k(y). Factor n(r). 5*(r - 6)*(r + 1) Find m such that -2494833/4*m**2 - 3684750*m**5 + 6654225*m**4 - 44286*m - 4600965/2*m**3 - 3993/4 = 0. -11/170, 1 Let o = -1220 + 1058. Let p be (o/48)/((-6)/12*3). Factor p*s**3 + 0*s**2 + 0 + 1/4*s**5 + 0*s + 3/2*s**4. s**3*(s + 3)**2/4 Suppose -27*q = 3*l - 25*q + 4, -2*l = -2*q - 4. Let s(c) be the third derivative of l - 5/72*c**4 + 19*c**2 + 1/36*c**5 + 0*c**3 + 0*c. Solve s(r) = 0 for r. 0, 1 Let -4285*w - 5/2*w**2 - 3672245/2 = 0. Calculate w. -857 Let u(m) be the first derivative of 5*m**4/18 - 122*m**3/27 + 184*m**2/9 - 328*m/9 + 5540. Factor u(s). 2*(s - 2)**2*(5*s - 41)/9 Let q(c) = 48*c**2 + 10*c + 25. Let j be q(-3). Let r = j + -425. Suppose 0 + 2/17*x**r + 2/17*x = 0. What is x? -1, 0 Let d(i) = i**2 + 4*i. Let o be d(-6). Let t be (o/(-7))/((-20)/14). Find x, given that 2*x**2 - t*x - 4/5 = 0. -2/5, 1 Let w be (2*-2)/((-28)/21) - (-169 + 167). Find t, given that 3/5*t**w + 3/5*t + 0*t**4 - 6/5*t**3 + 0 + 0*t**2 = 0. -1, 0, 1 Let q(w) = w**2 - 9*w + 6. Let k(l) = -l. Let z(h) = -5*k(h) + q(h). Let a be z(3). Let -5 - 3*f**2 - 2*f**2 - a*f + 6*f**2 - f = 0. What is f? -1, 5 Factor -30819*q - 5*q**2 - 48391605 + 5234*q - 5525*q. -5*(q + 3111)**2 Let c(d) be the second derivative of -112/3*d**4 - 15 + 2/21*d**7 - 72*d**2 - 8/5*d**6 + d + 70*d**3 + 54/5*d**5. Find h, given that c(h) = 0. 1, 3, 4 Suppose 5*s + 4*u = -3979, 4*s - 5*u = 5*s + 800. Let n = s + 803. Factor 16/7*a**3 + n*a + 2/7*a**4 + 24/7 + 46/7*a**2. 2*(a + 1)*(a + 2)**2*(a + 3)/7 Let j be (-84)/(-308) + 4/(-55). Let k(r) be the second derivative of 0 + j*r**3 + 28*r - 1/30*r**4 + 0*r**2. Factor k(q). -2*q*(q - 3)/5 Let t(v) be the first derivative of v**5/210 - 2*v**4/21 - 3*v**3/7 + 99*v**2/2 - 297. Let y(d) be the second derivative of t(d). Determine i so that y(i) = 0. -1, 9 Let f(p) = 24*p**2 - 6*p - 5. Let l = -107 - -106. Let h be f(l). Factor 5*o**5 - o**5 + 15*o**4 + h*o**3 - o**4 - 33*o**3. 2*o**3*(o + 4)*(2*o - 1) Suppose 29*a - 14*a - 210 = 0. Let d be (-224)/(-98) + (1 - 18/a). Let -8/7*m + 0 - 2/7*m**3 + 8/7*m**d = 0. Calculate m. 0, 2 Suppose -7*h - 10 - 29 = -50*h + 90. Determine i, given that 5/4*i**h + 0 + 0*i - 275/4*i**2 = 0. 0, 55 Let v(u) be the second derivative of 5*u**4/66 + 16*u**3/11 - 20*u**2/11 + 1178*u. Solve v(d) = 0. -10, 2/5 Suppose -31*m**3 + 152*m - 156*m**2 + 341*m**3 + 6*m**4 - 302*m**2 - 10*m**4 = 0. Calculate m. 0, 1/2, 1, 76 Suppose 3*h = -3*v - 24, 0 = 9*v - 6*v - h + 20. Let n be (1/(-10))/(v/56). Let -18/5*f**2 + 0 + n*f = 0. What is f? 0, 2/9 Suppose 0 = 13*a - 9*a + 5*p - 364, -a + 2*p + 104 = 0. Solve 264*v**3 - 232*v + v**5 - 2*v**4 - 10*v**5 - a*v**2 - 96 - 21*v**5 + 136*v - 224*v = 0. -3, -2/3, -2/5, 2 Suppose -34 - 100 = -27*x + 1. Let c(d) be the second derivative of -5*d - 2/15*d**4 - 4/75*d**6 + 0*d**2 - 1/15*d**3 + 0 - 3/25*d**x - 1/105*d**7. Factor c(t). -2*t*(t + 1)**4/5 Let q be 8/204 - 488894/(-2397). Let -1035/2*r**2 - 24 - q*r - 675/2*r**3 = 0. What is r? -1, -4/15 Let m(z) = -z**3 - 5*z**2 - z - 5. Let w be m(-5). Let r(g) = g**2 - 839. Let b be r(-29). Solve 0 - 1/7*i**4 + 2/7*i**b + 1/7*i**3 + w*i = 0. -1, 0, 2 Suppose -2*l - 4*c = -58, -5*l - 668*c - 50 = -673*c. Factor -14/17*x + 0 - 2/17*x**l + 16/17*x**2. -2*x*(x - 7)*(x - 1)/17 Let v(n) = 47*n + 1665. Let y be v(-35). Let h(g) be the third derivative of 1/21*g**3 - 1/168*g**4 + 0 + y*g**2 + 0*g - 1/420*g**5. Factor h(o). -(o - 1)*(o + 2)/7 Suppose -s = 5*k - 18, -3*k - 4*s + 2 = -19. Let h be (-10)/(-5)*21/k. Factor 7*z - h*z + 7*z + 8*z**3 + 4*z**2 + 4*z**4. 4*z**2*(z + 1)**2 Determine t, given that 2/5*t**4 + 0 + 290*t + 38/5*t**3 - 106*t**2 = 0. -29, 0, 5 Let n be (179/(-716))/((-36)/16 - -2). What is t in -1/3*t**2 - 2/3*t + n = 0? -3, 1 Suppose -3*t - 3 = 0, 5*p = -14*t + 13*t + 19. Suppose -3*x + 9 = 0, p*x - x - 15 = -3*f. Determine u so that 6*u**f - 42*u + 98 - 2/7*u**3 = 0. 7 Let n(a) = -a**3 + 7*a**2 - 7*a + 8. Let k = 40 + -34. Let t be n(k). Factor -9*j**2 + j**3 - 5*j + t*j**3 + 7*j + 4*j. 3*j*(j - 2)*(j - 1) Let v be -1*13*20/(-910). Solve -158/7*x**3 - v*x**5 - 34*x**2 + 38/7*x**4 + 200/7 + 160/7*x = 0 for x. -1, 1, 10 Let y(z) be the first derivative of -15/2*z**2 + 0*z + 5/4*z**4 - 33 + 10/3*z**3. Solve y(k) = 0 for k. -3, 0, 1 Let h(o) = -70*o - 276. Let k = -751 + 747. Let a be h(k). Find s, given that -3*s + 18/7*s**3 - 15/7*s**a + 9/7 + 3/7*s**5 + 6/7*s**2 = 0. -1, 1, 3 Let t be (-742296)/(-68950) - 36/75. Solve -12/7*b**3 + 18/7*b**4 - t*b**2 - 48/7*b + 6/7*b**5 + 0 = 0 for b. -2, -1, 0, 2 Suppose 3705*g + 3150 = 3780*g. Let p(w) be the second derivative of 0 - g*w - w**2 - w**3 + 3/10*w**5 - 5/24*w**4 + 3/20*w**6. Solve p(z) = 0. -1, -2/3, 1 Let o(d) be the third derivative of d**7/105 + d**6/60 - d**5/5 - d**4/3 + 8*d**3/3 - 1529*d**2. Suppose o(h) = 0. Calculate h. -2, 1, 2 Factor -312 - 4*q**3 - 93*q**2 + 8*q**3 - 6*q**3 - 133*q + 402. -(q + 2)*(q + 45)*(2*q - 1) Let v = 8/3421 - -13660/10263. Factor 0 - 1/3*s**4 - v*s**2 - 4/3*s**3 + 0*s. -s**2*(s + 2)**2/3 What is s in -288 - 286*s + 5*s**2 + 8*s**2 - 26*s**2 + 7*s**2 + 8*s**2 = 0? -1, 144 Let i be ((-7)/2 - -1)/((-1785)/380). Let h = i - -16/119. Determine v, given that 0 + 0*v**2 + 8/3*v**5 + h*v**4 + 0*v - 2*v**3 = 0. -1, 0, 3/4 Let h = -854/9 - -8543/90. Let b(l) be the first derivative of -1/10*l**2 + h*l**6 + 0*l**4 - 13 + 2/25*l**5 - 2/15*l**3 + 0*l. Factor b(i). i*(i - 1)*(i + 1)**3/5 Suppose -5*w - 2*m - 1 = -139, 0 = -4*w - m + 111. Suppose 6*z = -w + 46. Factor 2/19*x**z - 6/19*x**2 + 0 - 8/19*x. 2*x*(x - 4)*(x + 1)/19 Let n(u) be the third derivative of u**7/1260 + 13*u**6/60 + 103*u**5/120 + 77*u**4/72 - 1119*u**2. Let n(l) = 0. Calculate l. -154, -1, 0 Suppose 2*w + 15 = 3*t, -2*w - 5*t + 15 = -10. Let b be 11/(396/(-207)) - -9. Find x such that w - 1/2*x**5 - 23/4*x**3 - 3/4*x**2 + 9/4*x - b*x**4 = 0. -3, -1, 0, 1/2 Let x(n) be the second derivative of -7*n**6/30 - 67*n**5/40 + 17*n**4/24 + 5*n**3/6 - 29*n - 2. S
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
= 2*y - 5*b, 15 = y - 3*b. List the prime factors of 1*(-2 - y) - -30. 2, 7 Suppose 5*x - 238 = 3*b + 239, 4 = 4*b. Suppose x = n + 2*n. Let i = n - 18. What are the prime factors of i? 2, 7 Let c be (1/3)/(1/12). Let g be 2/c*10*8. Suppose 4*o - g = -0*o. What are the prime factors of o? 2, 5 Let f = -64 - -81. What are the prime factors of f? 17 Suppose 4*a + 1734 = 10*a. What are the prime factors of a? 17 Suppose -m + 5*u + 8 = -14, 12 = -3*u. Let j be 14 + (-2)/m + 3. Let w = j + -11. What are the prime factors of w? 5 Let t(x) = x**2 - 2. Suppose 3*k + 2*k = 15. Let d be t(k). Let i = 14 - d. List the prime factors of i. 7 Suppose -5*h - 5 + 0 = 5*i, -4*i + h = -1. Let l be (0 - -3) + 0 + i. Let o = 8 - l. List the prime factors of o. 5 Let y = -1 - 6. Let j = y + 19. What are the prime factors of j? 2, 3 Suppose j = 3*v - 94, 2*j + 122 = 4*v - j. List the prime factors of v. 2 Suppose 8*b - 3*b = 10. Suppose -5*j = 4*x - 3, b*j + 7*x - 3*x - 6 = 0. What are the prime factors of 0/j - (-5 + 3)? 2 Suppose -4*z + 9 = -11. Suppose -z*f + 36 = -2*f. List the prime factors of f. 2, 3 Suppose -2*k - c + 3*c + 174 = 0, -3*k = c - 241. List the prime factors of k. 2, 41 Let m be (6 - 3) + -1 + 3. Let g = m - -2. What are the prime factors of g? 7 Let r(q) = q + 4. Let o(g) = -2*g - 9. Let m(p) = 3*o(p) + 5*r(p). List the prime factors of m(-12). 5 Let r = 81 - -37. List the prime factors of r. 2, 59 Let c(u) = 328*u**2 + 2*u + 2. What are the prime factors of c(-1)? 2, 41 Suppose 0 = -3*i - 4*t + 453, -2*i + 2*t + 302 = -3*t. What are the prime factors of i? 151 Let u = -1 - -16. What are the prime factors of u? 3, 5 Let f = -223 - -349. What are the prime factors of f? 2, 3, 7 Let t be (-2 - (-4 - -2))/(-2). Suppose 4*w - w - 93 = t. List the prime factors of w. 31 Suppose -168 = -2*k - 2*k - 3*f, 5*k = -f + 210. What are the prime factors of k? 2, 3, 7 Suppose -y - 4*c - 1 = -2, 0 = -3*y - 5*c + 10. Suppose y*a - 5 = -5*b, 2 = -3*a - 4*b + 3. What are the prime factors of a? 3 Let q be (-3)/9*(1 - 1). Let t(m) = -m + 24. What are the prime factors of t(q)? 2, 3 Suppose -19 - 1 = -5*c. Let z(h) = h**3 - 3*h**2 - 3*h + 2. What are the prime factors of z(c)? 2, 3 Suppose -5*l + 475 = -0*l. Suppose 10*g - l = 5*g. List the prime factors of g. 19 Let u(o) = o**2 - o + 1. Let p be u(1). Suppose p + 0 = -w. What are the prime factors of 0 + 2 + 0 - w? 3 Let c be (-6)/(-5)*5/2. What are the prime factors of 4/(1 + c) + 18? 19 Suppose 12 = 5*k - 3. Suppose k = d + 1. Suppose -3*g = d*g - 75. List the prime factors of g. 3, 5 Let r = 869 - 621. What are the prime factors of r? 2, 31 Suppose -5*x + 20 = 3*g - 0, 3*x - 12 = -4*g. Suppose -4*n + 0 + x = 0. Suppose c - a - n = 1, a = 5*c - 18. What are the prime factors of c? 2 Let y be 25/4 + (-5)/20. Suppose 0*z + 198 = y*z. List the prime factors of z. 3, 11 Let o be (2/4)/((-4)/(-88)). Let a be (1 + o)*(-1)/(-3). Suppose -a*l = l - 20. What are the prime factors of l? 2 Let b(o) = -2*o**3 - 5*o**2 - 2*o + 4. Let w be b(-4). Suppose 2*p = 6, -w = -2*g - 3*p - 9. List the prime factors of g. 3, 7 Suppose -4*r - 4*c - 60 - 8 = 0, -4 = -4*c. Let s be (-15)/(-2) - 9/r. Suppose z + 0*z - s = 3*u, -4*z - 5*u = -83. What are the prime factors of z? 17 List the prime factors of 33 - (2 + (-4 - -6)). 29 Suppose -4*w + 2*t = 16, 0*w + 5*t = 2*w + 24. Suppose -p + 2 = 0, -4*p + 13 = -k - 1. List the prime factors of (k + 5)/(w/26). 13 Let s(n) = 39*n**2 - 1. What are the prime factors of s(1)? 2, 19 Let d(l) = -2*l + 7. Let c be d(5). Let w be (2/c)/((-2)/(-12)). List the prime factors of (-98)/w - 6/4. 23 Let c = 191 - 110. List the prime factors of c. 3 Suppose 3*q + u = 22, 0 = -4*q + q + 5*u + 34. Suppose -4*o - 48 = -q*o. List the prime factors of o. 2, 3 Let f(g) = 2*g**2 + 5*g + 3. Suppose 57 = 4*o - 3*n, o - 3*o - 2*n + 32 = 0. Suppose -2*s - 3*s - o = 0. List the prime factors of f(s). 2, 3 Suppose -4*u + 35 = c, 2*u + 2 = u. Suppose -4*w + c = o, -5*w - 17 = o - 70. List the prime factors of w. 2, 5 Let d be 2 + (0 - (0 + 2)). Let t(o) = o**2 + 51. Let g be t(d). Suppose -4*i + 70 = 5*h + i, 4*h + 3*i - g = 0. List the prime factors of h. 3 Let k be 1 - -1 - 29/(-1). Suppose 0 = -5*h + 3*p + 15, -5*p + k = h. Suppose -4*r - h = -2*z, -z - r - 1 = -16. What are the prime factors of z? 11 Let y = -22 - -37. Let d be (-3 - 33/(-9))*30. Suppose m = -5*k - 21, 3*k + y + d = 5*m. What are the prime factors of m? 2 List the prime factors of 138/2*(-7)/(-21). 23 Let m = 38 - 53. Let z = m - -36. List the prime factors of z. 3, 7 Let m(p) be the third derivative of -p**5/60 + 11*p**4/24 + 8*p**3/3 + 3*p**2. What are the prime factors of m(11)? 2 Let m(o) = o**3 + o - 3. Let z be m(-4). Let l = z + 99. What are the prime factors of l? 2, 7 What are the prime factors of 3 - (-4170)/21 - (-8)/(-14)? 3, 67 Let i = 1 - 1. Suppose i = -g + 7 - 2. Suppose 2*t - 31 = -t - f, -g*t + f + 65 = 0. List the prime factors of t. 2, 3 Let o(v) = v**3 - 19*v**2 - v + 22. Let c be o(19). Let s(j) = 3*j - 4. Let g be s(-3). Let r = c - g. What are the prime factors of r? 2 Suppose h - 2*h + 10 = 0. Suppose 4*o - 10 = k, -k + 0 + h = o. Suppose 2*p + k = 4*p. List the prime factors of p. 3 Let b = -1 + 0. Let d(g) = g**2 - g - 1. Let i(x) = -2*x**2 + x + 1. Let u(p) = -2*d(p) - 3*i(p). List the prime factors of u(b). 2 Let g(y) = y**3 - 10*y**2 + 13*y - 10. Let i be g(9). Let m = i + -2. What are the prime factors of m? 2, 3 Let x(d) = d**2 + d - 7. What are the prime factors of x(-5)? 13 Let k(b) = -b + 7. Suppose -3*t - 5 = -20. Let h be k(t). Let y = 1 + h. List the prime factors of y. 3 Let s(a) = -a**3 + 2*a**2 + 2*a - 2. What are the prime factors of s(-2)? 2, 5 Let t = 18 + -9. List the prime factors of t. 3 Suppose 4*a - 4 = -k + 4, a = 5*k - 82. Let h = k - 11. Suppose h = 2*o - 5. What are the prime factors of o? 5 Let j be (2 + (-5)/2)*-8. Suppose 3*v = -o + 7, v - 3 = 2*o + j. Suppose -v*u = u - 24. List the prime factors of u. 2, 3 Let a(d) = -d**3 - 6*d**2 - d + 4. Let r be a(-6). Let j(l) = -2*l**2 + 5*l**2 - 8*l - 2*l**2 + r. What are the prime factors of j(7)? 3 Suppose 3*g - 129 = -2*p, 3*g - 3*p - 147 = p. List the prime factors of g. 3, 5 Suppose -171 = -2*x + 4*u + 3, -4*x + 3*u = -338. What are the prime factors of x? 83 Let y = 60 + -29. What are the prime factors of y? 31 Let z = -19 - -29. What are the prime factors of (z + (-4)/(-4))*2? 2, 11 Let g(j) = -3*j**2 + 4*j**2 + 4*j**2 + 6*j - 4*j**2. What are the prime factors of g(-9)? 3 Suppose 0 = -n + 3*u - 5 + 79, -450 = -5*n - 5*u. List the prime factors of n. 2, 43 What are the prime factors of (3 - 0 - 18)*204/(-20)? 3, 17 Let u = 49 - 9. List the prime factors of u. 2, 5 Suppose 0 = -g + 3 + 2. Suppose 3*s = s - 2*m + 18, g*s = -4*m + 40. Suppose n = -2, -s*b - 3 + 17 = n. List the prime factors of b. 2 Let b(r) = r**3 - 3*r**2 - 2*r. Let p be b(-2). Let c be (p/5)/(2/(-25)). Suppose 5*f - c = -0*f. What are the prime factors of f? 2 Let c(x) = x**3 - 5*x**2 + 5. Let l be c(5). Suppose -2*k - 24 = -l*k. What are the prime factors of k? 2 Suppose -14*l + 9*l = -20. List the prime factors of l. 2 Let o(d) be the second derivative of 7*d**6/720 - d**5/60 + d**4/6 - d. Let k(y) be the third derivative of o(y). What are the prime factors of k(2)? 2, 3 Let v(g) = -5*g - 6. Let d(w) = -w**2 + 4*w + 5. Let a(k) = -5*d(k) - 4*v(k). Let i be a(-1). Let m = -2 + i. List the prime factors of m. 2 Let j = -36 - -55. List the prime factors of j. 19 Let h(b) = -10*b - 2. Suppose -3*o - 8 = -3*c - 2, 2*o - 4*c = -4. Let k be h(o). Suppose 0 = 4*n + 3*l - k, 4*l - 22 = -5*n - 0*n. List the prime factors of n. 2, 3 Suppose -26 = -2*f - 0*w + 4*w, -3*f + 2*w + 19 = 0. Suppose f*l - l = 0. Suppose -3*j - i + 24 = l, j - 2 - 19 = 4*i. What are the prime factors of j? 3 Suppose -5*n - 16 = 19. Let i(t) be the first derivative of -t**2 - 2*t - 1. What are the prime factors of i(n)? 2, 3 Let a be (-8)/(-12)*(-30)/(-4). Suppose -5*w - h = -0*h - 29, -5*h = -3*w - a. What are the prime factors of w? 5 Suppose -3*r + 141 = -4*f, -4*r + 0*f + 188 = -4*f. List the prime factors of r. 47 Suppose c = -0 + 2. Suppose -5*u + 21 = -4*r, -c*u + 4 + 9 = 3*r. What are the prime factors
{ "pile_set_name": "DM Mathematics" }
vide 10255 by -3. -10255/3 What is -12985 divided by 371? -35 Calculate -1 divided by 358457. -1/358457 What is -610776 divided by -2? 305388 Calculate 2609482 divided by -2. -1304741 Divide 3100 by -10. -310 5 divided by 9117 5/9117 Divide 2 by -129644. -1/64822 What is -106 divided by -9045? 106/9045 What is 608036 divided by 152009? 4 -2076 divided by -172 519/43 Calculate -90450 divided by -11. 90450/11 -5 divided by 295 -1/59 What is -153 divided by -1804? 153/1804 Divide 149985 by -9. -16665 -1242 divided by 113 -1242/113 Calculate 201957 divided by -3. -67319 126482 divided by -126482 -1 What is -3337 divided by 3? -3337/3 Divide 5 by 15138. 5/15138 Divide 24 by 572. 6/143 Calculate 2324584 divided by 1. 2324584 Divide 130339 by -3179. -41 Calculate 228409 divided by -3. -228409/3 Divide -1084 by -68. 271/17 Divide 0 by -177885. 0 -597415 divided by -597415 1 714552 divided by 6268 114 Divide -3 by 7367. -3/7367 Calculate -820 divided by -30. 82/3 Divide -2 by -5205. 2/5205 What is 4470 divided by 1490? 3 -6546 divided by -3273 2 6 divided by 624814 3/312407 Divide 5 by -215180. -1/43036 What is -11536 divided by -206? 56 Divide 96 by -50. -48/25 4 divided by -449349 -4/449349 Calculate 43 divided by -360. -43/360 -2 divided by 24274 -1/12137 What is 2622 divided by -1311? -2 Calculate 109744 divided by 16. 6859 Divide -63825 by -2553. 25 Calculate 177276 divided by -22. -8058 12840 divided by -60 -214 Calculate 4 divided by -191858. -2/95929 What is -78 divided by 224? -39/112 Calculate 39000 divided by -500. -78 What is -446 divided by 28? -223/14 Calculate 197160 divided by -4. -49290 Calculate -26840 divided by 6710. -4 Calculate -807976 divided by 8. -100997 What is -7304 divided by -443? 7304/443 Divide -11916 by -350. 5958/175 36756 divided by 36756 1 Divide 212 by 561. 212/561 -8048 divided by -39 8048/39 What is 946890 divided by 1670? 567 What is 0 divided by 86251? 0 0 divided by -241029 0 -449064 divided by -54 8316 Calculate -182615 divided by -8. 182615/8 What is -49614 divided by 4? -24807/2 What is 73 divided by 2344? 73/2344 -80674 divided by 19 -4246 Calculate 2746957 divided by 3. 2746957/3 Calculate 4418 divided by -4. -2209/2 Calculate 40890 divided by -141. -290 Divide -19548 by 3258. -6 Divide 1022028 by -7406. -138 Divide 65739 by 3. 21913 Divide 67 by 258. 67/258 Calculate -49500 divided by 45. -1100 Divide -75300 by 15060. -5 What is -12322299 divided by 3? -4107433 What is -62360 divided by 31180? -2 What is 204720 divided by 3? 68240 Divide -7788 by -3. 2596 Divide 172008 by -4. -43002 Calculate -9088 divided by -64. 142 -44048 divided by -22024 2 What is -7 divided by -1328? 7/1328 Calculate 4 divided by 134899. 4/134899 991 divided by 49 991/49 Divide -197225 by 35. -5635 830680 divided by -10 -83068 -144 divided by 15214 -72/7607 Calculate 3324 divided by -3. -1108 Divide -14 by 1075. -14/1075 What is -310450 divided by 310450? -1 Divide 97 by 193. 97/193 Calculate 110952 divided by 9. 12328 Divide -87278 by 17. -5134 Calculate 1377874 divided by 382. 3607 Divide 58689 by 5. 58689/5 Divide 2 by -65519. -2/65519 Calculate 8 divided by -390. -4/195 Divide -107095 by 5. -21419 Calculate 53690 divided by -413. -130 What is -1024130 divided by -5? 204826 -371434 divided by 53062 -7 Divide 148 by 1327. 148/1327 Calculate -1524999 divided by 719. -2121 Divide 147564 by -9. -16396 Calculate 18946 divided by -5. -18946/5 Divide 4020 by 29. 4020/29 What is 1757 divided by -19? -1757/19 Divide 914040 by -2. -457020 Divide 653860 by -130772. -5 Divide -50 by -253. 50/253 -38891 divided by -26 38891/26 Divide -6301 by -4. 6301/4 Divide 0 by -917350. 0 Divide 181168 by -13. -13936 What is -379656 divided by -31638? 12 What is -319692 divided by 12? -26641 Calculate 38422 divided by -6. -19211/3 What is 117133 divided by -117133? -1 Divide 1691 by 193. 1691/193 Calculate -215 divided by 996. -215/996 Calculate 4474 divided by 110. 2237/55 Divide -276330 by -2. 138165 Divide 1429 by 34. 1429/34 What is -256390 divided by -51278? 5 Calculate -70056 divided by 17514. -4 What is 3683676 divided by -2446? -1506 Divide -5907 by 26. -5907/26 -1889697 divided by 3 -629899 Calculate -64311 divided by -291. 221 Divide -20996 by -35. 20996/35 32700 divided by 436 75 Calculate 7176 divided by -1794. -4 What is 12271 divided by 12271? 1 Divide -2 by 3912. -1/1956 Calculate 4 divided by 13835. 4/13835 12964 divided by -6482 -2 Divide -780066 by -1722. 453 What is 6880 divided by 688? 10 -1258528 divided by -314632 4 366166 divided by 2 183083 Calculate -196403 divided by 19. -10337 Calculate 491436 divided by -374. -1314 Divide -12324 by 4. -3081 Divide -4236 by -95. 4236/95 What is 63629 divided by -49? -63629/49 What is 13 divided by 1848? 13/1848 What is -1 divided by -993210? 1/993210 238 divided by -2 -119 2830 divided by -283 -10 What is -157294 divided by -43? 3658 Calculate 30 divided by -35109. -10/11703 Calculate 2 divided by -15496. -1/7748 What is 3751 divided by 45? 3751/45 Divide 2 by -111368. -1/55684 Calculate 512710 divided by -158. -3245 Divide -2119 by -13. 163 Divide -19140 by 1276. -15 What is -6 divided by -818? 3/409 Divide 30264 by 52. 582 What is -963796 divided by 166? -5806 -23476 divided by 39 -23476/39 104176 divided by -2 -52088 -87245 divided by 3 -87245/3 -7 divided by -36111 7/36111 Calculate 14 divided by 58936. 7/29468 Divide -2490897 by 3. -830299 Divide -25412 by -1. 25412 What is 0 divided by 10692? 0 Divide -87282 by -3. 29094 13117 divided by -13 -1009 What is 5025 divided by -67? -75 5635739 divided by 1 5635739 What is 682150 divided by 1? 682150 Calculate -52 divided by 1083. -52/1083 Divide -409876 by -4. 102469 Calculate -339021 divided by -113007. 3 Divide 52 by -3. -52/3 Calculate -77760 divided by -243. 320 -26220 divided by -15 1748 Divide 11 by -16656. -11/16656 What is -167638 divided by 4? -83819/2 What is -3455448 divided by 863862? -4 7 divided by 4136 7/4136 Calculate -5636241 divided by 28041. -201 What is -1088222 divided by -6? 544111/3 What is -3446 divided by 2? -1723 Calculate 9 divided by 37108. 9/37108 What is 6 divided by -8333? -6/8333 Calculate 4 divided by 12192. 1/3048 Calculate -2 divided by 395456. -1/197728 Divide -54 by 3726. -1/69 86038 divided by -2 -43019 Calculate -34693 divided by 10. -34693/10 Calculate 3006 divided by -15. -1002/5 Calculate 84 divided by -122. -42/61 What is -2 divided by -12019? 2/12019 -30784 divided by -15392 2 What is 4 divided by -2383? -4/2383 Divide -1143505 by -13453. 85 Calculate -275 divided by 397. -275/397 748 divided by 1689 748/1689 What is 46 divided by 1154? 23/577 Divide 3321 by -15. -1107/5 Calculate -1963 divided by -11. 1963/11 Calculate 13 divided by 71327. 13/71327 Calculate -334487 divided by -4. 334487/4 Divide -1458852 by 6. -243142 Calculate 1501608 divided by 6. 250268 What is 21825 divided by 5? 4365 What is 1821330 divided by 5? 364266 Divide 735 by -1604. -735/1604 Calculate -771 divided by 75. -257/25 45714 divided by 38 1203 Divide -9679 by -241. 9679/241 Divide -8832 by 118. -4416/59 Calculate 709692 divided by 10. 354846/5 -723372 divided by -26 27822 Calculate -7 divided by 1183. -1/169 Calculate 622 divided by -12. -311/6 -849819 divided by 283273 -3 What is 143 divided by -14262? -143/14262 Divide -594 by 66. -9 What is -165 divided by -5654? 15/514 Calculate -1733 divided by -152. 1733/152 Calculate 8196 divided by 1366. 6 What is 1235521 divided by -2? -1235521/2 -239 divided by -6159 239/6159 -671 divided by 443 -671/443 Divide -168 by 161. -24/23 Calculate 167723 divided by 179. 937 Divide 5 by -20695. -1/4139 What is 2 divided by 226774? 1/113387 38656 divided by 19328 2 Divide 18 by 177. 6/59 Calculate -1160 divided by -845. 232/169 Divide 15471 by 3. 5157 What is 245 divided by 8042? 245/8042 What is 1354620 divided by 4220? 321 Calculate -701 divided by -785. 701/785 Divide 62656 by -1958. -32 Divide 0 by -15291. 0 Calculate -438 divided by 1. -438 -149787 divided by 49929 -3 What is 11570 divided by -13? -890 Calculate -2302 divided by 21. -2302/21 Divide 0 by 118. 0 What is 1220400 divided by 339? 3600 What is 2339 divided by -28? -2339/28 What is -66640 divided by 16? -4165 What is -1684
{ "pile_set_name": "DM Mathematics" }
digit of m? 2 Let j(g) = g + 1. Let x be j(-7). Let a = -3 - x. What is the units digit of a? 3 What is the units digit of (24/9 + -3)*-45? 5 Let b(l) = 13*l - 10. What is the tens digit of b(3)? 2 Let h be -9 + (-1 - 0) + 3. Let p(l) = l + 9. What is the units digit of p(h)? 2 What is the tens digit of (1 + -4)/((-30)/710)? 7 Suppose -2*s + 11 = c, 21 = 5*s - 6*c + 2*c. Let q(l) = -l**2 + 5*l + 6. What is the units digit of q(s)? 6 Let r(j) = 6*j + 3. Let n be r(5). Suppose 81 = 5*s + a, 4*a = s - n - 0. What is the tens digit of s? 1 Suppose 0*q - 15*q + 90 = 0. What is the units digit of q? 6 Let x(y) = 162*y**2 + 3*y + 3. What is the tens digit of x(-1)? 6 Suppose -7*w + 86 = -292. What is the tens digit of w? 5 Suppose -8*d - d + 675 = 0. What is the tens digit of d? 7 Let m(p) = -p. Let u(y) = -y**2 - 17*y - 10. Let x(w) = -6*m(w) + u(w). What is the units digit of x(-4)? 8 Suppose -7*n = -5*n - 74. What is the tens digit of n? 3 Suppose 3*x - 5 = 31. What is the tens digit of x? 1 Suppose 6 + 3 = 3*w. Suppose -h = -0*h - w. What is the units digit of 2/h*(2 - -25)? 8 Let r(i) = 2*i**2 + 6*i - 5. Let c be r(-6). Let z = 38 + -60. Let y = z + c. What is the units digit of y? 9 Let m(a) be the first derivative of 4*a**2 - 2 + 0*a**2 - 2*a + 1 - 3*a**2. What is the units digit of m(3)? 4 Suppose -5*o = -5*f - 45, -4*f - 5*o + 1 = 10. Let d(h) = h + 7. What is the units digit of d(f)? 1 Let q(c) = -c - 5. Let g be q(4). Let n be (-4)/18 + (-47)/g. Suppose -n = 3*i - 23. What is the units digit of i? 6 Let u(z) = 2*z + 14 + 0*z - z**3 - z**2 - 6*z + 5*z. What is the tens digit of u(0)? 1 Let z(c) be the second derivative of 0 - 1/20*c**5 - c + 5/2*c**2 - 7/12*c**4 + 0*c**3. What is the units digit of z(-7)? 5 Suppose -3*p - 33 = -99. Suppose -g = -2*t - t + p, 2*t = 4*g + 8. What is the units digit of t? 8 Suppose z + 1 = 2. Let o(h) = 5*h**2 + 2*h - 1. Let i be o(z). Suppose 24 = 3*a + i. What is the units digit of a? 6 Let q(l) = 1 - 6 + 4*l - 2*l. Let i be q(6). Suppose c = -4*b + i + 25, 2*b = -c + 14. What is the units digit of b? 9 Suppose -5*j - 31 = -2*m, -2*m = j - 7 - 6. Suppose -5*f = -2*q - 68, 3*f - 35 - m = -q. What is the units digit of f? 4 Let n be -16*(-3)/(-9)*3. Let l be 9/(-6)*n/6. Suppose l*j - 3*j - 3 = 0. What is the units digit of j? 3 Let n = 13 + -2. Suppose 7*f - 2*f - 115 = -5*o, 3*f = o - n. What is the units digit of o? 0 Suppose -4*m + 733 - 165 = 0. Let s = m + -50. Suppose t - 5*t - s = -4*v, -t + 109 = 5*v. What is the tens digit of v? 2 Let r(n) = -n**2 + 16*n - 11. What is the tens digit of r(8)? 5 Let f(p) = -p - 3. Let u be f(-6). Suppose -n + u*l = 3*n - 85, 3*n = 5*l + 61. What is the units digit of n? 2 Let m(k) = 3*k**3 + 3*k - 6. What is the tens digit of m(3)? 8 Suppose 3*y + 150 = 6*y. Suppose -i - 19 + 84 = 5*d, 5*d - y = 2*i. What is the tens digit of d? 1 Let d(a) = 9*a**2 - a - 4. What is the units digit of d(-2)? 4 Suppose 19 = 5*k + 4. Suppose 108 = k*f + f. What is the tens digit of f? 2 Let d(g) = g + 3. Let k be d(-3). Suppose 2*z - 22 = -k*z. What is the tens digit of z? 1 Let j(a) = 7*a + 77. What is the units digit of j(24)? 5 Suppose -4*o - 29 = a, -3*a + 2*o + 21 = -4*a. Let u(t) = -t**3 - 12*t**2 - 10*t + 4. Let k be u(-11). Let q = k - a. What is the units digit of q? 6 Let l(i) = 2*i - 12. Let y = -5 - -16. What is the units digit of l(y)? 0 Let l(h) = h**3 + 3*h**2 - 4*h + 3. Let j be l(-4). Suppose z + 2*z - j = 0. What is the units digit of z? 1 Let h(y) = -4*y + 41. What is the units digit of h(-21)? 5 Let w(k) = -k**2 - 22*k + 6. What is the tens digit of w(-14)? 1 Let t(b) = b**2 - 5*b + 1. What is the units digit of t(5)? 1 Let n(h) = -h**3 + 7*h**2 - 7*h. What is the tens digit of n(4)? 2 Let v = 6 + -1. Let g be v/3 - 2/(-6). What is the units digit of 16/2 - 0 - g? 6 Let i(j) = -27*j**3 + 2*j**2 - 3*j + 2. Let n be i(1). Let u be 230/6 - 4/(-6). Let p = u + n. What is the tens digit of p? 1 Suppose -4*v - 44 = -4*r, 5*v - 3*v = r - 20. Let j = v + 14. What is the units digit of j? 5 Let y(z) = -2*z + 9. Let v be y(4). What is the units digit of (v - 5)/(4/(-6))? 6 What is the units digit of ((-3)/(-2))/((-39)/(-910))? 5 Let y be 0 - (0/(-1) + -1). Let s = 3 + y. Suppose 0 = -k + s + 2. What is the units digit of k? 6 Suppose -3*t + 419 = 5*q, t - 401 = -5*q + 4*t. What is the tens digit of q? 8 Let h be -1 - ((-1)/(-1) - 3). Suppose -h = -s + 1. Suppose -s*d = 2*q - 32, -q = 2*d - 21 - 10. What is the tens digit of d? 1 Let i(v) = 12*v - 13. Let y(w) = 11*w - 12. Let p(j) = 5*i(j) - 6*y(j). Let z(d) = 6*d - 6. Let n(s) = 5*p(s) + 6*z(s). What is the units digit of n(1)? 5 Let z = -11 + 8. Let m be 10*1/4*-2. Let h = z - m. What is the units digit of h? 2 Let g(z) = 6*z - 8. What is the units digit of g(4)? 6 Suppose 0 = 6*a - 2*a - 124. Let i = 62 - a. What is the tens digit of i? 3 Let b(x) = -x**2 - 10. Let y be b(0). Let k = y - -14. Suppose 64 = 8*g - k*g. What is the tens digit of g? 1 Suppose -2*v + 2*p - 25 = -69, 2*v + p - 29 = 0. What is the units digit of 5/(-20) + v/4? 4 Let i = 13 + -8. Suppose -25 = -i*c + 25. What is the units digit of c? 0 Suppose 18*i - 9*i = 1755. What is the hundreds digit of i? 1 Suppose -5*h = -4*n - 23, -7 = h + n + 4*n. Let y = 4 + h. What is the units digit of y? 7 Suppose k + 4*k = 5. Let i(y) = 4*y + 1. What is the units digit of i(k)? 5 Let v = 111 + 7. What is the tens digit of v? 1 Let a = 8 + -7. What is the units digit of (4/6)/(a/3)? 2 Suppose -z + 10 = 6. Let o be -1 + 0 - -3*27. Suppose 0 = -4*m - z*f + o, 5*m + f - 12 = 88. What is the units digit of m? 0 Suppose -u - 5*z + 6 = 0, 2*z = -u + 6*u - 3. Let k = u + 1. Suppose 4*j + 2*v = 4*v + 6, k*j + v - 9 = 0. What is the units digit of j? 3 Suppose 3*d - 575 = -5*q, 8*q - 3*q - 575 = -4*d. What is the units digit of q? 5 Let d be 1 - 1*(0 - -3). What is the units digit of d/11 + 280/88? 3 Let r be (-11)/(-3)*(-1 + 4). Let m = -7 + r. What is the units digit of m? 4 Let z = 45 - 24. What is the units digit of z? 1 Let u(y) = 34*y - 29. What is the hundreds digit of u(5)? 1 Let q be (-1 - -3)*(17 + 1). Suppose 0 = -4*x - n - n + 40, q = 3*x + 3*n. What is the units digit of x? 8 Suppose 4 + 4 = 2*n. What is the units digit of (9/(-2))/(-3)*n? 6 Let y(k) = -16*k + 7. What is the tens digit of y(-4)? 7 Let i be 0/1 - (-12)/4. What is the tens digit of (-1 - 8/i)*-3? 1 Let d(b) = -b**3 + 5*b**2 + 6*b + 4. Suppose -200 = -y - 4*y. Suppose 2*n + y = 4*p + 10, 0 = -3*n - 9. What is the units digit of d(p)? 4 Let d(l) = -15*l**2 - 1. Let o be d(1). Let g = o + 23. What is the units digit of g? 7 Let h = -53 + 161. What is the units digit of h? 8 Let t = -23 - -26. Suppose -t*k = 5*s - 231, -s = -0*k + k - 47. What is the tens digit of s? 4 Let a = -2 - -8. Suppose -c = -a*c - 60. What is the units digit of (4/c)/((-1)/18)? 6 Let i = 35 + -8. What is the tens digit of i? 2 Let q(n) = -n**2 - 8*n - 6. Let y(g) = g**2 + 8*g + 6. Let z(t) = -2*q(t) - 3*y(t). What is the units digit of z(-6)? 6 Let z(y) = -18*y - 4. Let g be z(-3). Let a be -3*28/9*-3. Let r = g - a. What is the units digit of r? 2 Let x(t) = t**3 - 5*t**2 - 4*t - 8. Let y be x(6). Suppose 3*r + 23 = 4*d - 0*d, -r + 3 = y*d. What is the units digit of d? 2 Let g = -6 + 7. What is the tens digit of 13/2*(g + 1)? 1 Suppose -3*g - 2*u = -548 + 30, -174 = -g - u. What is the hundreds digit of g? 1 Let s(i) = 2*i**2 - 8*i - 3. What is the tens digit of s(7)? 3 Let i be 0 + 2 + (0 - -10). Suppose 0 = -4*w + 40 + i. What is the units digit of w? 3 Let p(t) = 2*t**2 + 3*t + 1. Let w(a) = a**3 + 3*a**2 - 4*a + 5. Let y be w(-4). Let f = 3 - y. What is the units digit of p(f)? 3 What is the tens digit of (5/(-10))/((-2)/116)? 2 Suppose -352 = -5*h - 72. What is the units digit of h? 6 Let r(h) = 9*h - 5. Let w be r(7). Let u = -38 + w. What is the tens digit of u? 2 Let c = 43 + -12. What is the tens digit of c? 3 Suppose 5*y - 5*c + 115 = 0, -3*y + 4*c = -8*y - 115. Suppose 10*s = 5*s - 65. Let l = s - y. What is the tens digit of l? 1 Let o = 62 - 15. Let v = o + -7. What is the tens digit of v? 4 Let b(a) = 43*a**2 + a. Let x be b(1). Suppose 5*d - x = 61. What is the units digit of d? 1 Let d(p) = 4*p - 29. Let t(n)
{ "pile_set_name": "DM Mathematics" }
*4 Let k(m) = -4*m. Let z(d) = -107*d + 24*d + 326*d. Determine z(k(s)). -972*s Let n(y) = -39959*y**2. Let q(b) = -b**2. Give q(n(m)). -1596721681*m**4 Let j(n) = -n**2 - n + 12. Let w be j(3). Let i(v) be the third derivative of w + 0*v - 1/30*v**5 - v**2 + 0*v**3 + 0*v**4. Let q(d) = -2*d. What is i(q(b))? -8*b**2 Let c(p) = 17*p**2. Let l be ((-4)/(-4)*-1)/((-2)/326). Let q(i) = -82 - 81 + i + l. Give q(c(k)). 17*k**2 Let t(q) = -2*q. Suppose -2*f + 5*l + 22 = -3, 4*l = -20. Let p(h) = 0*h + 22*h**2 - 21*h**2 + f*h. Determine t(p(r)). -2*r**2 Let p(g) = 6*g - 157. Let y(f) = -440*f - 1. Determine p(y(x)). -2640*x - 163 Let d(l) = -10*l. Let s(v) = -17*v**2 + 47 - 73 + 26. Calculate d(s(c)). 170*c**2 Let z(f) = 16*f + 11. Let p(j) = -59*j. Determine z(p(i)). -944*i + 11 Let k(s) = 5*s**2. Let o(i) = i + 1. Let w(v) = 5*v + 4. Let x(f) = -11*o(f) + 2*w(f). Let u(g) = -2*g - 7. Let a(l) = 6*u(l) - 14*x(l). Give k(a(y)). 20*y**2 Let p(a) be the first derivative of -5/2*a**2 + 0*a + 3. Let c(u) = -u. Calculate p(c(j)). 5*j Let i(t) be the third derivative of -11*t**5/60 - 4*t**2. Let r(c) = 358*c - 181*c - 175*c. Give r(i(v)). -22*v**2 Let f(i) = -16*i**2 + 65*i**2 - 24*i**2 - 22*i**2. Let c(a) = 141*a**2 - 1. Give c(f(z)). 1269*z**4 - 1 Let j(v) = -v**2 + v + 1. Let i(x) = 2*x**2 + 2*x + 2. Let k(d) = i(d) - 2*j(d). Let y(l) = 5*l + 5. What is k(y(h))? 100*h**2 + 200*h + 100 Let o(v) = -4 + 3 + 7083*v**2 + 1 - 7092*v**2. Let q(z) = 22*z. What is o(q(l))? -4356*l**2 Let o(z) = 3*z + 5. Let b(q) = -2*q - 3. Let k(r) = -5*b(r) - 3*o(r). Let j = 544 - 383. Let f(w) = 161 + 5*w - j + 7*w. What is f(k(u))? 12*u Let m(o) = -4*o. Let i(d) be the first derivative of 37*d**2 - 202. Calculate i(m(f)). -296*f Let a(v) = 12*v. Let c(h) = -h + 104. Let n(l) = l - 86. Let o(f) = -3*c(f) - 4*n(f). Determine o(a(s)). -12*s + 32 Let i(l) = 24*l**2. Let p(g) = 34 + 14 + g**2 - 48 - 7*g**2. Give i(p(k)). 864*k**4 Let c(s) = -12*s - 1. Let i(b) = -b - 10*b + 3*b - 9*b + b. Give i(c(v)). 192*v + 16 Let x(i) = 490*i**2. Let s(k) = -410*k**2. Give s(x(b)). -98441000*b**4 Let r(l) = 2*l**2 - l - 3. Let i(y) = 616*y**2 - 22*y - 66. Let o(s) = -i(s) + 22*r(s). Let m(u) = u**2. Calculate o(m(a)). -572*a**4 Let s(p) = -13*p**2. Let d(j) = j + 1. Let l(x) be the third derivative of 7*x**4/24 + 2*x**3/3 - 32*x**2 + 2. Let h(g) = 4*d(g) - l(g). Give h(s(v)). 39*v**2 Let a(f) be the third derivative of -f**5/4 - f**2. Let m(x) be the second derivative of x**3/6 - 5*x - 129. Calculate a(m(o)). -15*o**2 Let s(y) = -9*y**2. Let k(l) be the second derivative of -25*l**3/6 + 16*l - 6. Calculate s(k(r)). -5625*r**2 Let f(r) = -r**2 - 5*r - 1. Let k(c) = -9*c**2 - 90*c - 18. Let t(j) = 18*f(j) - k(j). Let v(o) be the third derivative of o**5/30 + o**2. Calculate v(t(y)). 162*y**4 Let n(r) = -2*r. Suppose 0 = 5*z + 6 - 36. Let t(y) = -7*y**2 + 5*y - 5*y - z*y**2. What is t(n(p))? -52*p**2 Let h(u) = 7*u**2. Let b(v) = 139508*v. What is b(h(j))? 976556*j**2 Let b(x) = -113*x**2 + 2*x - 659. Let j(v) = 6*v**2. What is b(j(t))? -4068*t**4 + 12*t**2 - 659 Let t(o) = -o - 38. Let q(x) = 29*x**2 + x. Give t(q(i)). -29*i**2 - i - 38 Let a(t) = -4*t. Let f(m) = 14754*m. Determine f(a(i)). -59016*i Let j(f) = -5*f. Let h(o) = 3066*o**2 + 67*o. Determine j(h(q)). -15330*q**2 - 335*q Let c(u) = -4*u**2. Let v(p) = -8*p - 5*p - 1 + 15 - 17. Give v(c(y)). 52*y**2 - 3 Let d(t) be the second derivative of 0 + 0*t**3 + 5/6*t**4 - 6*t + 0*t**2. Let v(j) = 2*j - j + 2*j - 4*j. What is v(d(b))? -10*b**2 Let t(k) be the first derivative of 61*k**2/2 + 697. Let o(y) = 2*y. Calculate o(t(f)). 122*f Let b(u) = 8*u**2. Let m(k) be the first derivative of 5*k**3/3 - 59. Calculate m(b(z)). 320*z**4 Let u(j) = -2*j. Let d(z) = -2*z**2 + 22*z - 906. Give d(u(f)). -8*f**2 - 44*f - 906 Let f(g) = 16048 + 3*g - 16048. Let j(p) = -2*p**2 + 20. Calculate f(j(l)). -6*l**2 + 60 Let v(o) = -6298 + 6298 + 2*o. Let a(z) be the third derivative of z**4 - z**2. Determine a(v(i)). 48*i Let s(n) = n. Let a(f) = -4213*f + 519. What is a(s(i))? -4213*i + 519 Let v(j) be the second derivative of 0 + 0*j**2 - 1/2*j**3 + j. Let u(a) = 3*a**2. Calculate u(v(g)). 27*g**2 Let m(i) be the third derivative of 1/12*i**4 + 0*i**3 + 0 + 12*i**2 + 0*i. Let u(n) = 8*n**2 + 2. Determine m(u(t)). 16*t**2 + 4 Let p(t) = t**2. Let y(m) be the first derivative of 2 + 0*m + 1/2*m**2. Calculate y(p(c)). c**2 Let v(x) be the first derivative of -x**3/3 + 17. Let j(m) = -2*m - 19. Calculate j(v(o)). 2*o**2 - 19 Let a(s) = -3*s. Let p(i) be the first derivative of -15*i**2/2 - 56. What is a(p(d))? 45*d Let f(z) = -104326*z. Let w(u) = -16*u. What is w(f(o))? 1669216*o Let f(q) = -53*q. Let c(p) be the second derivative of 13*p**3/6 + 607*p. Give c(f(s)). -689*s Let y(d) = -3*d - 25. Let i(c) = 3*c + 34. Let k(q) = -4*i(q) - 5*y(q). Let z(t) be the third derivative of t**5/60 + t**2. Determine k(z(w)). 3*w**2 - 11 Let z(g) = -8*g**2. Let c(a) = -98*a - 20 + 117*a + 20. Calculate z(c(i)). -2888*i**2 Let m(d) = -55941*d. Let b(a) = -4*a. What is b(m(f))? 223764*f Let k be (2 - 4) + 1*-18. Let p = 132 + -131. Let d(x) = -16*x - 20. Let r(o) = -o - 1. Let s(h) = k*r(h) + p*d(h). Let y(b) = b**2. What is s(y(g))? 4*g**2 Let d(r) = 12*r. Let b(i) = 12*i - 14. Let s(f) = 4*f - 5. Let t(x) = -5*b(x) + 14*s(x). Give t(d(z)). -48*z Let n(h) = -981*h. Let a(m) = 1182*m - 1. What is n(a(z))? -1159542*z + 981 Let g(m) = -8*m**2. Let k(c) = c - 17. Calculate k(g(i)). -8*i**2 - 17 Let a(t) = 16*t. Let v(x) = -19709*x + 2. Calculate v(a(s)). -315344*s + 2 Suppose -15 = -5*d - 3*f, 44*f - 12 = -4*d + 47*f. Let m(z) be the second derivative of 1/3*z**d + 0 - 11*z + 0*z**2. Let c(p) = -12*p**2. Calculate c(m(i)). -48*i**2 Let i(m) = -2*m**2. Let j(c) = -19*c**2 + 1006*c. What is j(i(u))? -76*u**4 - 2012*u**2 Let h(z) = 2*z**2. Let b(v) = 3*v - 2 - 4 + 2. Suppose 65 = -4*d + 21. Let k(q) = 9*q - 11. Let u(n) = d*b(n) + 4*k(n). What is h(u(l))? 18*l**2 Let d(h) = 8*h**2. Let j(b) = 5*b. Let y(f) = 0 + 0 - 51*f + 42*f. Let n(r) = 11*j(r) + 6*y(r). Calculate n(d(p)). 8*p**2 Let b(k) = -6*k. Let f(r) be the third derivative of r**4 + r**2 - 54*r. Give b(f(o)). -144*o Let x(f) = -2*f**2. Let t = 5929 + -4184. Let z(q) = 105*q - t + 1745. Give x(z(y)). -22050*y**2 Let w(q) = -88*q**2 + 1 - 1 + 171*q**2 - 82*q**2. Let a(j) be the second derivative of 0 - 5/12*j**4 + 0*j**3 - 2*j + 0*j**2. Give w(a(h)). 25*h**4 Let r(w) = 3*w. Let k(d) = 7*d**2 + 127. Give k(r(s)). 63*s**2 + 127 Let w(o) = 2*o**2. Let z(j) be the third derivative of -9*j**2 + 0*j**3 - 11/6*j**4 + 0*j + 0. Give z(w(i)). -88*i**2 Let l(x) = -2*x - 55. Let z(d) = d + 63. Give l(z(k)). -2*k - 181 Let o(f) = -79*f. Let h(u) be the first derivative of -2*u**3/3 - 401. What is o(h(i))? 158*i**2 Let u(m) = 2*m + 1. Let h(w) = 496. Let a(c) = -h(c) + u(c). Let r(t) = -t**2. Give r(a(k)). -4*k**2 + 1980*k - 245025 Let n(r) = 10631*r. Let w(f) = -18*f**2 - f. Calculate w(n(y)). -2034326898*y**2 - 10631*y Let g(x) = 704673*x**2. Let v(z) = -2*z**2. Determine g(v(d)). 2818692*d**4 Suppose -z = 5*q + 5, -5*q + 2 = 3*z + 7. Let k(d) = z*d + d + d. Let y(i) = 17*i - 2. Let s(h) = 120*h - 15. Let c(g) = 2*s(g) - 15*y(g). Determine k(c(r)). -30*r Let n(o) = 7*o - 19. Let p(l) = -752*l**2. Calculate n(p(w)). -5264*w**2 - 19 Let k(v) = 22*v**2 + 62. Let c(f) = f**2. Determine c(k(i)). 484*i**4 + 2728*i**2 + 3844 Let t(l) = 22*l. Let x(u) = -86*u - 82*u - 87*u + 263*u. What is t(x(f))? 176*f Let x(k) be the second derivative of 0 + 7*k + 0*k**2 - 35/12*k**4 + 0*k**3. Let j(f) = f**2. Give x(j(v)). -35*v**4 Let n(u) = -143*u. Let h(s) = -1927*s + 3. What is n(h(q))? 275561*q - 429 Let t(b) = -16*b. Let m(a) = -17*a**2. Let j(v) be the second derivative of -v**4/2 + 4*v. Let q(s) = 11*j(s) - 4*m(s). What is q(t(k))? 512*k**2 Let v(w) = 2*w**2 + 5*w. Let d(u) = 3*u**2 + 8*u. Let c(g) = 5*d(g) - 8*v(g). Let p = -4 + 7. Let a(f) = -2*f + 4*f + p*f. Determine a(c(t)). -5*t**2 Let f(c) be the second derivative of c**4/2 - 227*c. Let o(j) = 16*j. Give o(f(w)). 96*w**2 Let h(f) = 6*f. Let m(l) = 39*l**2 - 5*l + 10. Let c(z) = 58*z**2 - 8*z + 16. Let k(q) = -5*c(q) + 8*m(q). What is h(k(u))? 132*u**2 Let p(t) be the second derivative of
{ "pile_set_name": "DM Mathematics" }
= 4*g - 35200, 21*g + 5*n + 8800 = 22*g. Is g a multiple of 100? True Let s = -78 + 122. Suppose 0 = -a - 3*r + 4, 3*a = a + 3*r + s. Is a a multiple of 3? False Let s be -50*(168/30 - 5). Let z be 114/4*(-4)/3. Let n = s - z. Is 8 a factor of n? True Suppose 0 = 9*o - 13*o + 60. Let h be 4*(o/2 + 3). Suppose 3*m - h = 6. Is m even? True Let q(w) = -5*w**2 - 8*w + 8. Let i be q(1). Does 29 divide i/(-30) + 3479/6? True Suppose 17*u = 15*u + 238. Suppose 5*z = 2*l - 88, 0*l - z - u = -3*l. Is 13 a factor of 4/16 + l/4 + 3? True Suppose 3*t - 8666 = 2*d, -d - 103 = -105. Does 34 divide t? True Let w be (-3*(-24)/45)/((-2)/5). Let g(f) = 0*f + 2*f + 4*f**2 + 2*f + 8. Is g(w) a multiple of 14? True Let w(x) be the first derivative of x**3/3 - 2*x**2 + 24*x - 6. Is w(-8) a multiple of 6? True Let u(p) = -57*p - 667. Is u(-34) a multiple of 13? False Let u(h) = -h**3 + 10*h**2 + 3*h - 9. Let k be (-4*4/24)/((-1)/15). Does 6 divide u(k)? False Does 116 divide ((-744)/10)/((792/35728)/((-30)/7))? True Let w be -4 + (-17 + 1)/(-4). Suppose 0 = -3*g - w*g + 12. Does 22 divide 0/6 + 352/g? True Let a = 353 + -339. Suppose -a*o + 12*o = -154. Is o a multiple of 30? False Let g(k) = 2186*k**2 + 46*k + 42. Does 3 divide g(-1)? False Suppose 3*v + 25 - 247 = -3*d, d = 2*v + 83. Let n = 229 + d. Does 18 divide n? True Is 16 a factor of (249570/(-1175))/((-6)/130)? False Let v be (-87)/18 - 9/54. Let g(z) = z**3 + 3*z**2 - 11*z - 3. Let a be g(v). Is 19 a factor of (4/(-8) + 0)/(a/(-260))? False Let x be (8 - 3) + (-1 - -1). Suppose -f - 44 = x*t - 9*t, 4*t + 3*f = 44. Does 11 divide t? True Suppose -13*s + 1467 = -4*s. Suppose 599 = 2*j + s. Does 22 divide j? False Let f(r) = -7*r - 57. Let k(z) be the third derivative of -z**4/3 - z**3/2 - 40*z**2. Let t be k(2). Is 5 a factor of f(t)? False Let a = 19582 - 15607. Is 30 a factor of a? False Let g(l) = l**2 + 349. Let d be g(0). Suppose y + 5*y - 161 = -149. Suppose 0 = 2*z - 5*z - c + d, 226 = y*z - c. Is 47 a factor of z? False Suppose 3*m + 246 = 1206. Does 55 divide (m/12)/16 - 1315/(-3)? True Let w = 535 - 533. Is (w - 1) + -5 - (-25 + -290) a multiple of 31? False Suppose 4*i - 82 = 206. Let b = -38 + i. Is b a multiple of 4? False Does 31 divide ((-4)/3 + (-2366678)/732)*-2? False Let j = 392 - 392. Suppose j = 15*f - 1297 - 893. Is f a multiple of 10? False Let o(b) = 3*b**3 - 29*b**2 + 147*b + 30. Let q(m) = m**3 - m - 5. Let v(c) = o(c) - 2*q(c). Is 32 a factor of v(24)? True Let u = -153 + 157. Suppose 0 = -9*a + u*a + 600. Is a a multiple of 24? True Let z = -123 - -123. Suppose 3*a - k = 302, -4*k + z*k - 508 = -5*a. Is 8 a factor of a? False Let w(o) = -2*o**2 + 77*o - 128. Let q be w(37). Let r(p) = 5*p**2 + 65*p + 6. Does 15 divide r(q)? False Let x(d) = -161*d**3 - 2*d**2 + d + 2. Suppose -66 = -2*o + o. Let y = o - 67. Is x(y) a multiple of 16? True Let x(g) = 40*g**2 + 61*g - 58. Does 5 divide x(-22)? True Suppose -39*f + 1294 = -11537. Suppose 11*o + f = 1088. Is 23 a factor of o? True Suppose 143*o - 21*o - 1288587 = 11933. Does 13 divide o? True Suppose -2*c = -5*v - 29485, -163*v = -164*v + 7. Does 13 divide c? False Let m(s) = 300*s - 135. Let q(j) = 299*j - 134. Let w(g) = 4*m(g) - 3*q(g). Does 35 divide w(6)? True Let o be (3/3)/((-2)/6). Let m(l) = -l**3 - 3*l**2 - 2*l - 9. Let i be m(o). Let a(v) = -2*v**3 - v**2 + 2*v + 2. Does 8 divide a(i)? False Let r = -53 + 53. Suppose 5*b - 816 - 614 = -5*z, -3*b + 4*z + 879 = r. Is 33 a factor of b? False Let y = 864 - 859. Suppose -5*w + 2*p = -1599, -3*w + 597 = y*p - 350. Is w a multiple of 28? False Let z = 9656 + -7100. Is z a multiple of 3? True Let n = 294 + -297. Is 20526/27 + n/((-135)/(-10)) a multiple of 20? True Let l(k) = 2*k**2 + 4*k - 20. Let c(d) = d**2 + 9*d + 8. Let m be c(-7). Does 11 divide l(m)? False Let s be 483/115 + 3/(-15). Suppose -s*w + 1128 = -5*q - 882, -4*w - q + 2022 = 0. Is 42 a factor of w? False Let c(s) = -116*s**2 - s + 25030. Does 10 divide c(0)? True Suppose 28*l - 29*l + 2592 = 0. Suppose 31*o = 22*o + l. Is 18 a factor of o? True Suppose -6 = 9*i - 42. Let a(v) be the first derivative of 14*v**3/3 - 10*v**2 + 3*v + 1. Is a(i) a multiple of 21? True Suppose 2*v + 5*t = 103, -4*v + 0*v + 5*t + 221 = 0. Is 11 + 11136/v - 2/9 a multiple of 7? True Let n(z) = 32*z**2 - 29*z**2 - 21*z - 13*z. Is 58 a factor of n(-8)? True Suppose 0 = 1134*w - 1174*w + 1048000. Is 40 a factor of w? True Suppose 4*j + 3*o = 3497, 133*o = 4*j + 138*o - 3503. Does 3 divide j? False Suppose -4*p - 2*g + 17538 = 0, 24*g = p + 28*g - 4388. Does 16 divide p? True Let u = -305 - -313. Suppose 64 = -6*z + u*z. Does 16 divide z? True Let z(s) = -723*s**3 - 52*s**2 - 53*s + 1. Is 29 a factor of z(-1)? True Let m be 4/18 + 129/27. Suppose -2*n + 7*n = -3*g + 17, 15 = 5*g - m*n. Is (-105)/(-4) + 3/g a multiple of 27? True Suppose 7*g = 3614 + 36657. Is 92 a factor of g? False Let j(n) be the second derivative of 5*n**3/6 - 24*n**2 + 37*n. Let z be j(10). Suppose -i - z = 0, -w + 2*i + 94 = 2*w. Is w a multiple of 5? True Suppose 5*t = -43 - 82. Let w = -25 - t. Is 8 a factor of 0 - w - (1 - 9)? True Let u be -4 + ((-9)/3 - -2 - 1). Is (-391)/(-6) - u/(-36) a multiple of 13? True Let l(q) = -2*q - 11 - 5 + q - 5. Let m be l(18). Is 20 a factor of (m + -1)/(2/(-10))? True Suppose 101*y - 117*y + 32 = 0. Suppose -y*f + 34 = -5*m + 134, 40 = 2*m - f. Is 20 a factor of m? True Does 29 divide 1696 + 0 + -12*7/21? False Let m(z) = -26*z**2 + 15*z**2 + 10*z**2 - z. Let d be m(-1). Suppose -4*v = -d*v - 144. Does 6 divide v? True Let a(v) = 3*v**3 - 30*v**2 + 25*v - 30. Let s(c) = 2*c**3 - 16*c**2 + 13*c - 14. Let z(n) = 3*a(n) - 5*s(n). Does 23 divide z(-12)? False Let w be ((-8)/(-12))/(3 - (-15520)/(-5172)). Is 30 a factor of 9/(-12)*(-18 + w)? True Let i(m) = -m**2 - 25*m - 43. Let a be i(-23). Suppose -13*c + 10*c = -a*q - 375, 0 = q - 5. Is c a multiple of 22? False Suppose 30 + 54 = -4*x. Let j = x + -37. Let k = j - -89. Is k a multiple of 24? False Suppose -11*y + 7*y = -z - 53185, 5*y + 5*z - 66500 = 0. Is 8 a factor of y? False Let z(h) = -9186*h + 2769. Does 8 divide z(-3)? False Let h = 6716 + -6577. Does 3 divide h? False Let m = 2825 - 2213. Does 12 divide m? True Is (1 - -10347) + (-85)/(-5) a multiple of 157? False Let f be ((-27)/(-12) + -2)/((-2)/(-808)). Let v = f + 89. Is v a multiple of 35? False Let l be 20/70 - (-60)/(-14). Let v be (2 + -3)*(5 + l). Does 3 divide (2*v)/(18/(-153))? False Let i = -7057 + 27945. Is i a multiple of 56? True Suppose 5*w + 165 = y, 3*y - 3*w + 137 - 620 = 0. Suppose -4*b + 156 = -y. Suppose 0 = 74*a - b*a + 785. Is a a multiple of 10? False Let n be 125 + 0/(-3*4/6). Let x = n - 86. Is 13 a factor of x? True Let p(y) = y**2 + 2*y - 26. Let g = -46 + 54. Suppose 7*c = 2*n + 3*c + 46, 2*c - g = 0. Does 13 divide p(n)? True Suppose -6*n = -227 - 13. Is 14 a factor of 4/2 - (n*17)/(-5)? False Let x = -8198 - -8553. Is x a multiple of 5? True Let p = 281 + -198. Suppose 4*t - 3*t + 2 = -o, o - 2*t = 10. Suppose -3*y + 195 = 2*f, -p - 47 = -o*y - f. Is 21 a factor of y? False Let p = -28073 - -29178. Does 13 divide p? True Let l(n) = 68*n - 1031. Does 5 divide l(27)? True Suppose d + 5 = 0, -5*f + 15*d + 45380 = 11*d. Is f a multiple of 4? True Suppose 4*i = -m - 75, -3*i = 2*i + 2*m + 90. Let u = 804 - 802. Is (u + 8/(-3))*9*i a multiple of 12? True Suppose -k - 5*c = -544, -15 = 4*c + 5. Suppose 12*v - k = 1303. Is 12 a factor of v? True Let i = -161 + 225. Suppose -2*c + 156 + i = 0. Is c a multiple of 9? False Let b = -7066 + 12168. Does 10 divide b? False Suppose -d - 4 = -3*s, -2*d + 9 = -2*s + d. Suppose 0*o + a + 416 = 5*o, s*a - 246 = -3*o. Is 6 a factor of o? False Is 14 a factor of 48930/20*(272/6)/17? True Let j = -6 - -8. Suppose j*y - 90 = -4*o, 61 + 19 = 3*y - 5*o. Is 2 a factor of y? False Suppose 1445055 = 399*h - 3941046. Is 8 a factor of h? False Suppose -3*j = 12, -4*r = 4*j - 126283 + 13983. Is r a multiple of 43? True Let s = -16726 + 38221. Is s a multiple of 8? False Suppose 3*c = 5*k + 5405, -2*c - 719 - 4711 = 5*k. Let z = k - -1778. Suppose -l - b = l - z, 0 = 4*l - 3*b - 1398. Is l a multiple of 32? False Let n be (7 + (2 - 8))*(-346)/(-2). Let q = -81 - n. Let h =
{ "pile_set_name": "DM Mathematics" }
equal to -9? True Are 2 and 2/1023 non-equal? True Which is smaller: 670 or 672? 670 Which is greater: -315 or 0? 0 Which is greater: 9/40 or 0? 9/40 Which is smaller: 23/14 or 2? 23/14 Which is greater: -786 or 3? 3 Which is greater: -2/5327 or -1? -2/5327 Is 257 at most as big as 253? False Which is smaller: 14 or 122/9? 122/9 Which is greater: -0.2 or -181? -0.2 Which is smaller: 178 or 177? 177 Does -3 = 2/177? False Which is smaller: 4083 or 4080? 4080 Which is smaller: -1586 or -17440/11? -1586 Which is smaller: 115/57 or 2? 2 Do -1/4 and -17 have the same value? False Is 211 greater than 213? False Which is smaller: -578 or 1/3? -578 Are -2413 and -19295/8 equal? False Is -65 <= -716/11? False Are 474 and 474 equal? True Is 7/32 bigger than 1/9? True Which is smaller: -33 or -39? -39 Is 58 greater than or equal to 2324/41? True Which is bigger: -3402 or 0? 0 Which is smaller: -2148 or -2149? -2149 Which is smaller: -2 or -65/22? -65/22 Is 359 > 359? False Is 2 smaller than 3/56? False Do -0.3 and 2673 have the same value? False Do 120 and 362/3 have different values? True Which is greater: -4/3639 or 1? 1 Which is smaller: 0 or 3/1576? 0 Is 6512 greater than or equal to 6509? True Which is smaller: 0 or 54/283? 0 Is 231 greater than or equal to -0.3? True Which is smaller: -1 or 11/1981? -1 Which is smaller: 0.19 or 24? 0.19 Which is greater: -39 or -3? -3 Which is smaller: 409 or -2? -2 Which is greater: -81 or -247/3? -81 Are 445 and -18 non-equal? True Is 189 equal to 189? True Which is smaller: -25 or -33? -33 Are 1 and 11/23 nonequal? True Which is smaller: 1 or -2/35? -2/35 Is -898 greater than -878? False Which is smaller: 18/2117 or -1? -1 Is -21 != -19? True Is -1615 > -0.1? False Is -283 at most -283? True Which is bigger: -587 or -624? -587 Is -22 less than or equal to -23? False Is -9 bigger than -13? True Is -312 at least as big as -312? True Which is greater: -100/173 or 2/9? 2/9 Is -3013 <= -3014? False Which is smaller: 0.178 or 0? 0 Is 5/12 smaller than 0.14? False Is 78 at most as big as -3/4? False Is 0 at most 2/1287? True Which is smaller: -537.5 or 0? -537.5 Which is smaller: 20 or 18? 18 Is 72 < 41? False Which is smaller: 388 or 383? 383 Which is smaller: 0.109 or 8? 0.109 Which is bigger: -85 or 2? 2 Which is smaller: -0.37 or -4/7? -4/7 Are -9 and 2/7 equal? False Is -7/246 less than 0? True Which is bigger: 5/6 or -32? 5/6 Is 0.28 <= -22? False Is -15 at most as big as -29? False Is 9 > 76/9? True Which is greater: -1 or -23? -1 Which is smaller: 1 or -18/91? -18/91 Which is bigger: -11 or -300? -11 Which is smaller: -132 or -149? -149 Is -115 at least -112? False Which is greater: 0 or -9/133? 0 Which is bigger: -2.4 or 1/2? 1/2 Which is smaller: -307/33 or -10? -10 Are -186 and -184 unequal? True Which is greater: -1326 or -1319? -1319 Is 0 at most as big as 5/152? True Which is bigger: -1 or -31/18? -1 Is 66 >= 397/6? False Is 1/392 > -2/5? True Which is smaller: -2/5 or 5029? -2/5 Which is greater: -1 or 12/107? 12/107 Which is bigger: 29/6 or 6? 6 Is -38 at most as big as -42? False Are 8 and 0.027 unequal? True Which is greater: -2/61 or -9.2? -2/61 Which is smaller: -5.1 or 1/22? -5.1 Is -2 less than -770? False Which is smaller: -12/3581 or 0? -12/3581 Which is smaller: -193 or -191? -193 Which is smaller: -240 or -1? -240 Which is smaller: 3/16 or 0? 0 Is -59 greater than 0.4? False Which is bigger: 1057 or 1059? 1059 Which is smaller: 1255 or 1254? 1254 Which is smaller: 127 or 129? 127 Is -172/5 at most -34? True Which is greater: -12 or -35/3? -35/3 Which is bigger: -1/53 or 1? 1 Is 4/671 smaller than 1? True Which is greater: -6769 or -6770? -6769 Is -0.1 less than or equal to 79? True Is 33 smaller than 225/7? False Which is bigger: 13243 or 13244? 13244 Which is smaller: -264 or -266? -266 Is 21 at most as big as 29? True Is -60 <= -765/13? True Which is greater: 1858 or 1857? 1858 Which is bigger: 1 or 6/8033? 1 Which is smaller: 0 or 6? 0 Is -166 <= -167? False Which is smaller: 2361 or 2359? 2359 Which is smaller: 3 or 1/214? 1/214 Which is smaller: 64 or 893/14? 893/14 Which is bigger: 0.1 or -40? 0.1 Is 6 at least as big as -1/3? True Are 268 and 265 non-equal? True Which is bigger: 1 or -8/115? 1 Which is bigger: 0 or 58/41? 58/41 Are -3668 and -3665 equal? False Is -184 smaller than 6/5? True Which is bigger: -1 or -1.38? -1 Which is bigger: 274 or -0.1? 274 Which is smaller: 1 or 16/151? 16/151 Which is bigger: 327 or 325? 327 Are 860 and 859 nonequal? True Which is bigger: 1/660 or -1? 1/660 Is -1 bigger than 3/73? False Which is smaller: 186 or -15? -15 Which is greater: -17/410 or -1? -17/410 Is -0.01 at least as big as -80? True Is 0.63 greater than or equal to -9? True Which is greater: -0.1 or -712.6? -0.1 Are 182 and 184 unequal? True Is 0 >= 66/157? False Which is smaller: 388/5 or 79? 388/5 Which is smaller: 1724 or 8627/5? 1724 Which is smaller: -5/188 or 1/3? -5/188 Which is smaller: -1732 or -1733? -1733 Is -1 greater than or equal to -38/55? False Which is smaller: -2/7311 or 1? -2/7311 Is 0 at least 1162? False Which is greater: -1 or 0.079? 0.079 Which is smaller: -25 or 0? -25 Is -2/5 greater than 1557? False Which is smaller: -609 or -581? -609 Which is smaller: 115 or 120? 115 Which is bigger: -3263/5 or -653? -3263/5 Is 11/1626 at least as big as 0? True Which is greater: 1 or 41.4? 41.4 Which is smaller: 2 or 53/39? 53/39 Which is bigger: 71 or 0.4? 71 Is 4 less than or equal to 2056? True Is 288 equal to 868/3? False Is 1/174 >= -1? True Is -2/917 >= -2/11? True Is -103 at most as big as -108? False Are 20 and 6 unequal? True Which is greater: 0.22 or -3/19? 0.22 Which is greater: -4 or 9? 9 Is 2 greater than or equal to -4/21? True Are -455 and -455 unequal? False Is 0.184 <= 5? True Which is bigger: 1 or 1/651? 1 Is -147/173 less than or equal to -2? False Does -11 = -20? False Are 0.05 and 1 equal? False Which is smaller: 686 or 687? 686 Which is greater: -8 or 552? 552 Which is bigger: 127/4 or 31? 127/4 Which is bigger: -2.9 or 3? 3 Which is bigger: 5 or 2? 5 Are 192/13 and 47 non-equal? True Is -1 greater than -23.96? True Is -13568 > -13569? True Is -0.0386 >= 0.2? False Which is smaller: 0 or 33/125? 0 Is 149 at least 150? False Is -153 < -153? False Is -26 != -27? True Do 0 and -1/5 have different values? True Is 2080 < 2080? False Is 27592 greater than 27592? False Which is smaller: 2511 or 2513? 2511 Is 36 not equal to -0.2? True Is -1/4 != 107.7? True Do -133/11 and 0 have different values? True Which is bigger: 7487 or 7489? 7489 Which is greater: 5094 or 5098? 5098 Which is greater: 995 or 996? 996 Are 0.021 and 4 nonequal? True Which is bigger: 5/533 or 0.03? 0.03 Is -3047 <= -3047? True Which is smaller: -1/13198 or 1? -1/13198 Which is smaller: 263 or 260? 260 Are 5/7506 and 0 nonequal? True Is -0.37 bigger than -836? True Which is greater: 1 or -129/35? 1 Which is smaller: -6 or -140/23? -140/23 Is 650 greater than or equal to 650? True Which is bigger: 5238 or 0.4? 5238 Which is bigger: -3/217 or -1? -3/217 Is 123 less than or equal to 2082/17? False Which is smaller: -0.9 or 10? -0.9 Is -1585 at least as big as -1588? True Are -2/25 and -48/5 non-equal? True Which is smaller: 1 or 2/149? 2/149 Do -294 and -292 have the same value? False Is 0.06 at most as big as 57? True Which is smaller: -99 or 96? -99 Are 0 and 3/77 non-equal? True Is -43 < -44? False Is 44 greater than or equal to 29? True Is -4559 smaller than -4560? False Is -2965 > 1? False Is 26899 != 26900? True Do -49573 and -49572 have the same value? False Which is greater: 52 or -2? 52 Which is greater: 126/253 or -1? 126/253 Do -1196 and -1194 have the same value? False Which is greater: -50 or 0? 0 Which is smaller: -1.187 or -1/3? -1.187 Which is greater: -12/185 or 1? 1 Which is smaller: -4/1017 or 0? -4/1017 Is 53 > 51? True Is -7/24 not equal to 1? True Which is bigger: 102 or -29? 102 Which is smaller: 0 or 3/8? 0 Which is greater: -1117 or -1111? -1111 Do 1 and 1/6354 have the same value? False Which is bigger: 14 or -1.6? 14 Is 0 greater than or equal to 518/3? False Is 1495 not equal to 1496? True Which is smaller: 1820 or 1821? 1820 Is 0 less than or equal to 5/214? Tru
{ "pile_set_name": "DM Mathematics" }
(623 + -664). 50 What is 531 + -522 + (11 - 1) - 88? -69 What is the value of -13 + (3 - 6) - (110 + -88)? -38 Evaluate 10 + (-82 - -36) - -7 - -33. 4 What is the value of -17 + 93 + (2 - -1) + -2 + 81 + -75? 83 What is 16 - 4 - (-864 + 863)? 13 Calculate (-1 + -1 - (-641 + 615)) + -21. 3 Calculate -1 - 1 - 8 - ((-5 - (-6 + -9)) + -73). 53 Calculate (-25 - 0) + -618 + 677. 34 -67 - ((-27 - -4) + (-119 - -116)) -41 Calculate 3 + -2 + -17 + 16 - -76 - (-4 - 1). 81 What is -9 + 4 + 2 + -4 + 24 + 5? 22 What is the value of -24 - -80 - (41 - -2)? 13 Calculate 19 + -78 + 29 + 68. 38 Evaluate ((6 - -2) + 2 - -3) + (-1770 - -1763). 6 Calculate -9 + (-4 + 33 - (3 + -6 + (6 - 9))). 26 What is -125 + 123 + (6 - 37)? -33 What is (14 - -1) + 1 + (-53 - (-39 + -102))? 104 Evaluate 37 - (10 + (-13 - -23 - 17)). 34 Calculate -3 - (7 - ((7 - -17) + -17)). -3 -99 - (97 - (350 - 64)) 90 Calculate ((-1 - 9) + (-13 - -15) - (89 + -23)) + 0. -74 Evaluate 13 + -64 - (4 + -1 - (238 - 249)). -65 What is the value of -4 + (18 - 15) + -1 + -5 + 1 + 58? 52 Calculate 0 + -37 - (49 - 18 - 13 - -2 - 7). -50 Evaluate (-6 - 0 - 1 - (-92 - -104)) + 2. -17 Evaluate (-9 - -40) + -277 + 157. -89 What is ((58 - -1) + 3 - (-7 - -36 - 35)) + -3? 65 -406 + 386 + (-2 - -3 - -6) + 55 42 Evaluate 26 + 26 + -32 + -10 - 7. 3 What is the value of -4 - -149 - (-928 + 1182)? -109 What is the value of 60 + (-75 - (46 + -92))? 31 What is (1 - 10 - (46 + -29 - (-5 + 31))) + 46? 46 What is -1 - (-1 - (-3 - -7)) - (-55 - -57)? 2 What is the value of 105 + 7 + ((11 - 14) + 4 - 25)? 88 What is 59 - (49 - 7) - (37 - -9)? -29 Evaluate -22 + (-2 - (-15 - (6 + -8))) - -46. 35 Calculate (3 - (-48 + 0)) + (90 + -94 - -21). 68 Calculate 4 - (0 - 5 - (-167 + 160) - -50). -48 58 - (50 + -36 + 18) 26 Evaluate 70 - (48 - (-18 - (-57 - -15))). 46 Calculate -2 - (0 - 0 - (20 + (-72 - -39))). -15 What is 40 - (-25 + -32 + (-6 - -50))? 53 -1052 - -1291 - (4 + 125) 110 What is (-10 - (-34 - -5) - 20) + -13? -14 Evaluate 26 - (-9 + 9 + (5 - -5) - 15). 31 Calculate 2 + 1 + (-419 - -411) + (-56 - 1) + 0. -62 What is -38 - (65 + -142 + 36)? 3 Evaluate -5 + 27 + -21 + (3 - (-6 - -2)). 8 What is (-1242 - -1253) + -6 + -3 + 2 - (8 + -1)? -3 What is the value of -50 - (-23 - (3 + 36))? 12 What is (17 + -5 + (-17 - 4) - 3) + 14? 2 What is the value of -47 + 3 + (57 - 16)? -3 Evaluate (1 - -21 - (-35 - -51)) + (1 - 1). 6 Calculate 41 + (-491 - -492 - (3 + (4 - 1) + 6)). 30 1 + (-51 - 10) + 38 -22 Evaluate -9 + (-8 - (-6 - (66 + -1 + 5))) + 9. 68 What is the value of 19 + -21 + (22 - 42)? -22 Evaluate ((-3 - 0) + -9 + 22 - (2 + 12)) + 52. 48 What is the value of (1113 - 1113) + 1 + 8? 9 (-11 - 2) + 22 - -1 10 Evaluate 19 + (-62 - (70 + -69)) + 18 + -1. -27 Evaluate -9 + -59 + -2 + (-62 - -67) - -18. -47 What is the value of 2 - ((-2 - -10) + -3) - (45 + 15 - 8)? -55 What is (-3 - (-1 - 0)) + (13 + 12 - -35) - 4? 54 What is the value of 1 + 1 + 13 - (88 - 52 - 44)? 23 27 + (-19 - 14) + 16 + -60 -50 -155 + -42 + (51 - -47) -99 (-8 - (-4 - -24)) + 25 -3 Evaluate (-55 - -109 - -42) + (-29 - 0). 67 What is the value of (-1 - 29) + -6 + -7? -43 What is 7 + 30 + -52 + 19? 4 What is (-2 - (1 + (-31 - 1) - (2619 - 2620))) + -2? 26 Evaluate 5 - (31 - (37 - -37)). 48 29 + -78 + -7 + -18 - 13 -87 What is -12115 - -12081 - (2 + (33 - -1))? -70 Evaluate (-9 - (-11 + 4)) + 7 + -10 - (4 + -75). 66 Evaluate -95 - -10 - -78 - (1 + -14). 6 Calculate -61 + 44 + 11 + 12. 6 Calculate 84 + -105 - (-8 - 1) - (-64 + 3 - 16). 65 What is the value of -64 - 4 - (-43 - -29)? -54 Evaluate 14 - (11 + -28 + -18). 49 Evaluate -571 + 551 + (6 + -1 + -6 - -29). 8 What is the value of -11 + (28 + -5 - 6) + -13 - -33? 26 Calculate 4 + -1 - ((136 - 142) + (7 - (7 + -27))). -18 Calculate 145 + -149 - (2 - (47 - 4)). 37 Evaluate 41 - (2 - (-9 - -2 - (13 + -4 + -16))). 39 Calculate (12 - (6 - 1) - 19) + -4 + (14 - 13). -15 What is 42 - (6 + (8 - 16 - 2) + -11)? 57 (7503 - 7477) + (-1 - -9) 34 Calculate -27 - (6 + (147 + -149 - (5 - 0))). -26 What is the value of (14 + -18 - 52 - 17) + (-9 - 0) + 1? -81 -24 + (-73 - -2) - (2 + -4 - 16) -77 Calculate (255 - 246) + (-10 + 9 - (-1 - (-1 - -26))). 34 Calculate 3 - 55 - (-39 - -23). -36 What is (34 - 144 - -183) + 57? 130 -185 - -232 - (12 - -45) -10 Evaluate -1 - 59 - (-2570 + 2542). -32 2168 - 2303 - (-52 + -1) -82 -7 + -88 - (12 - (-3 - -20)) -90 Evaluate -30 + (-14 - -9) + (-23 - -17) + 15 + -1. -27 What is the value of -58 + (-7 - (-21 + -65 + 60 + 8 + 1))? -48 -7 + 85 + (-7 - -1) + -110 + 97 59 Calculate 120 - ((213 - 66) + -67). 40 What is -4 + 27 + 3 - (-2139 - -2159)? 6 Evaluate (84 - 90) + 55 - 101. -52 (-98 - 109) + 74 + 209 76 Calculate 8 - -1 - (81 + -84 + (3 - 6 - 32)). 47 -62 - -91 - (36 + 15 - 3) -19 -1 + -73 + 18 + -12 + (26 - (-21 + 35)) -56 What is -1 - -7 - ((-5 - 4) + 16 - (64 - 22))? 41 Evaluate -5 - (-7 + 9 + -58) - ((-21 - -6) + 10). 56 What is the value of -10 - (7 - 7 - (9 + -6 - (15 + -8)))? -14 What is 9 - -1 - (-10 - -7 - (5 - -22))? 40 What is the value of 44 - (-6 + 9) - 87? -46 8 - (7 + -2 + (-2 + -35 - (46 - 36))) 50 Calculate (5 + -83 - 8 - (-25 + 18)) + -14. -93 What is the value of 54 - (63 + -33 + 11)? 13 -6 + 13 + -16 + 13 - (3 - (3 + 60)) 64 What is -73 - (-25 - (32 - 24 - 11))? -51 Evaluate -10 + (6 - -4) + -27 + 24 + -8 - 51. -62 Calculate (2 - 47) + 19 + 136 + -93. 17 What is -5 - (-5 + 13 + -9) - 16 - -11? -9 (-143 - -40 - -23) + 8 -72 Calculate 8 - -24 - ((-19 - -23) + -57). 85 What is the value of (50 - 4) + -3 + 1 - (-46 - -111 - 61)? 40 Evaluate 8 + (11 - -1) + 123 + -114. 29 Calculate 122 + -100 + -19 - (2 - (-1 + 1) - -1). 0 Calculate 6 + 28 + 2118 + -2140 + 10 + 1 + -1. 22 Evaluate 201 + -166 + 33 - 89. -21 Evaluate (9 - -1) + 5 - (-4 + (-8 - -4) + 11). 12 Calculate -12 + 22 + -6 + 7 - 30. -19 62 + 21 + -37 - (3 + -1 + -11 + 3) 52 What is (-164 - -13) + (-13 - -6) - -27? -131 Evaluate (42 - 0) + 60 + (-390 - -333). 45 Evaluate -12 + 1 + (3 - (-31 - -29)). -6 What is the value of 19 + (-203 + 212 - (29 - 1))? 0 What is the value of 37 - (6 + 39) - (16 - -3)? -27 Calculate 8 + 9 + -3 + -21 + 19. 12 What is the value of 25 + -5 - ((15 - 8) + 9)? 4 20 + (-59 - -14) + 31 6 What is the value of (-203 - -272) + (-7 - -7) + -11? 58 What is 1 + 89 + ((14 - (-1 + -7)) + -22 - 9)? 81 What is 11 + ((10 - (37 + -19)) + 1 + -2 - 67)? -65 What is 57 + -193 + 46 + (1 - -2)? -87 77 + (-9 + -7 + 13 - -9 - 8) 75 What is -96 - -170 - (9 + 34)? 31 Calculate (6 - 72 - (-9 + -8 + 6)) + 7. -48 Evaluate 11 - ((2 - -10) + (62 - 53 - (-1 + 8))). -3 What is 5 - 3 - (56 + (-5 - 3))? -46 Calculate (56 - 116 - -66) + -60. -54 Evaluate 3048 + -3061 - (2 + -1 - 2). -12 Calculate 6 - (18 - (11 - -2) - 33). 34 -18 + (57 - 25 - -29) 43 Calculate 11 + 1 - (28 + -29 + 25) - 27. -39 What is (20 - 5) + (15 + -19 - 3) - (0 + 42)? -34 What is 42 - ((-18 - -60) + -4)? 4 What is the value of 14 - (-22 - 11 - -24 - (-7 + (1 - 1)))? 16 What is (-7 - (49 - (17 - -19))) + (16 - 1)? -5 Calculate (-52 - 1) + 992 + -977. -38 Evaluate -48 - (7 - (154 - 50)). 49 Calculate 0 + 4 + (2 - -10) + -8 - (15 + -20). 13 Evaluate 42 + 0 + (130 - 409) + 157. -80 -49 + -1 + (19 + 2 - 44) + 21 -52 What is the value of (65 - (94 - -28)) + 110? 53 What is the value of (64 - 25 - -2 - 14) + -84? -57 Calculate 11 + (-9 - (-21 + 5)) + -1 + -13. 4 Calculate -6 + (-128 - -194) + -166. -106 4 + (-30 - -1) + (-137 - -146) -16 What is 11 - (8 - 2 - 3) - ((-4 - -16) + 13)? -17 Calculate -51 + (-42 - -74 - -56). 37 Calculate (-54 - -2 - 1) + 2 - (23 + -46 - -25). -53 Calculate -4 - (-11 + -5 + 4 + -53 + 67). -6 What is the value of -13 + 92 + (10 - 30) + 12 + -15 + 11? 67 Calculate 247 + -232 + 0 + -66 + (-19 - -14). -56 What is 24 + -36 - -90 - -7 - (-2 + -5)? 92 Evaluate (-37 + -28 - -43) + 160. 138 (-159 - -20) + (182 - 9) 34 Calculate 6 + -8 + -2 + (-540 - -614). 70 What is -4 + 7 + 11 + (444 - 519)? -61 What is (-11 + -5 - -7) + (23 - 0) + 1 + 3? 18 20 - 0 - (24 - 16) - -5 17 What is the value of 10 + (1 + 10 - (-137 - -211))? -53 Evaluate 23 + (-86 - -14) + 24. -25 126 + 2 - (-5871 - -5933) 66 What is -28 + (22 - -28) + 13 - (-2 + -2)? 39 Calculate 73 - (-50 + 38 + 80). 5 Calculate -55 + (-3 + (6 - -6) + -4 - 13 - -14). -49 Evaluate (4 +
{ "pile_set_name": "DM Mathematics" }
59/(-58795)? 50 ((-62)/(-5859)*-21)/(-4*(-4)/(-32)) 4/9 Evaluate (54/(-4068))/(189/(-42))*-1*2. -2/339 Calculate ((33/77)/(115/18515))/3. 23 ((-375)/(-350))/(-6*(-3)/252) 15 What is -4*(4*(-10)/((-240)/(-261)))/(-6)? -29 Evaluate (1/637*14)/((2/210)/((-121)/(-363))). 10/13 Evaluate (-110)/60*50/(-275)*(-10)/1. -10/3 What is (-4)/(24/(-5))*((-41070)/26825)/(-74)? 1/58 Calculate (-63)/(-14)*(-34)/(-4284). 1/28 Evaluate -3*(-2)/(-6)*(-4016)/9036. 4/9 What is the value of (-48)/(-75)*6845/208088? 2/95 Calculate (-2)/((4956/210)/59). -5 Evaluate -270*5/(-275)*-11. -54 (-2)/6*(-12)/(-10)*12*(-210)/(-15624) -2/31 ((-4)/(-44)*11)/(35/2030) 58 What is (12472/28062)/(2/279)? 62 What is (5/8*3452/(-5178))/((-585)/24)? 2/117 Evaluate (-12880)/(-1400)*(-130)/(-416). 23/8 3/((2/(-230))/((-1042)/(-7815))*2/(-3)) 69 What is the value of (3/(-10))/(59616/(-2880))*3*2? 2/23 (-10)/(-1)*(-378)/(-6804) 5/9 5/(-50)*0*(-113)/339 0 What is (1/3)/(5*(-2)/180)*10/(-26)? 30/13 What is the value of (1/(-1))/(((-225)/27)/5)*(-1155)/(-11)? 63 (1188/(-8))/9*(-350)/(-1365)*-13 55 What is -42*((12285/486)/91)/((-20)/84)? 49 Calculate (295/(-236))/(170/32). -4/17 Evaluate (-23)/(52003/(-76))*-7*(450/(-12))/(-15). -10/17 (61/((-12932)/106))/(1/34) -17 ((-8)/(96/(-95)))/(-50*(-90)/2400) 38/9 What is the value of 8/1280*40*33/1*40/15? 22 Evaluate -4*8/(-80)*180/((-32)/(-16)). 36 What is (-65)/117*48/144? -5/27 Calculate (-1*(-5)/69)/((-12170)/(-29208)). 4/23 Calculate (480/(-600))/(((-1)/5)/((-9)/27)*-1). 4/3 14/(-4)*(-1760)/(-20)*(-21)/84 77 9/(-4)*((-11544)/468)/((-3)/6) -111 What is the value of 1*(9/(-3))/(-3)*87/2523? 1/29 (1/((-987)/(-18)))/(2031/(-4739)) -2/47 Calculate ((-2009)/(-14))/41*-1*(-216)/28. 27 What is 1266/596286*18/2*(-1)/3? -1/157 Calculate 81/12*(-12)/(-594)*(-36)/27. -2/11 1/8*-6*((-1475520)/(-261))/(-80) 53 ((-2)/(-6))/(152/24624) 54 What is (-1044)/(-87)*1/(20/(-830))*(-5)/30? 83 What is the value of 65/(-26)*(320/100)/((-190)/133)? 28/5 4/((-16)/(-42))*(-288)/(-1056)*(-22)/18 -7/2 Evaluate 8470/(-1815)*(-984)/(-56). -82 What is ((-4)/10)/(17/((-54145)/(-98)))? -13 What is the value of 132/1*(-54)/(-1188)? 6 What is the value of (-252)/24*(3942/(-84))/(-73)? -27/4 What is (217/12799528*-219)/(2*6/(-16))? 1/202 What is 4*(-15*1*(-45)/750)/((-6)/(-85))? 51 What is ((662/2317)/(5/(-1435)))/1? -82 What is ((-1392)/384)/(2/(-8))*52/(-13)? -58 What is (-13)/(((-136136)/6512)/(-119))? -74 Evaluate 10/5*425/(-34). -25 What is the value of -2*2*(-9)/(594/(-77))*5/(-175)? 2/15 What is the value of ((-222)/(-592))/(7/224*8)? 3/2 Evaluate ((225/1320)/15)/(792/(-4224)). -2/33 ((-1677753)/(-44385))/((-6)/(-10)) 63 What is 57/(-209)*(626/313)/(3/5)? -10/11 ((-19032)/780)/(-122)*-295*1 -59 112*((-4)/308)/(113/(-2486)) 32 What is ((-1)/184)/((81576/(-1408))/309)? 2/69 (5688/474)/(2*6)*4/(-14) -2/7 (-8)/4*1265/(-55) 46 Evaluate (27400/(-98640))/(3/(84/10)). -7/9 13/(52/24)*203*30/28710 14/11 (-4550)/(-40)*(-6762)/(-102557) 15/2 What is the value of (((-318)/20)/((-453)/1208))/(25/((-2125)/34))? -106 Calculate (68/(-1190))/((-28)/10)*-3. -3/49 1*7*64*(-869)/(-35392) 11 (-33)/((-3960)/48)*14/4*10 14 What is the value of 2/(-177)*13179/(-8786)? 1/59 What is ((28/(181300/(-105)))/(3/(-10)))/((-24)/(-6))? 1/74 What is (10/6)/(((-2266)/(-22))/2781)? 45 140/(-7230)*(-2424)/5656 2/241 Evaluate ((-123)/(-8118)*-1617)/(-2*(-3)/24). -98 Calculate 82*(-1)/(-3)*1008/672. 41 What is (19623/287804)/((-3)/11)? -1/4 What is the value of (-13)/(-26)*-29*(-8)/48*1*4? 29/3 Evaluate (246160/408)/181*1*48/25. 32/5 What is the value of (26/6)/(11/495*-15)? -13 What is 279*252/480438*3/18? 1/41 What is the value of (18/(-14)*(-2737)/4692)/(-6*2/(-268))? 67/4 Evaluate (2/5)/(25*72/6000). 4/3 What is the value of (-75*12/(-4350))/((-4)/(-2))? 3/29 (40/(-7))/(((-5)/(-360)*40)/((-10)/12)) 60/7 What is the value of (40/1296)/(((-1275)/204)/(-5))? 2/81 Evaluate (-3)/(-4)*(48/(-84))/(936/273). -1/8 Evaluate -16*11454/(-332)*1/12. 46 Calculate (4/(-44))/(((627/110)/19)/((-17)/425)). 2/165 Calculate (166/(245016/(-410)))/(30/81). -3/4 Evaluate -63*(-70)/(-2695)*-4*1/(-6). -12/11 ((-688)/(-24))/(7*(-41)/861) -86 What is the value of 20/(-1)*(-22)/(-5)*(-7140)/(-13090)? -48 Evaluate ((-12)/80)/((3016/390)/58). -9/8 What is (-10)/(-4)*3280/(-23124)*-141? 50 Evaluate 540/(-74466)*-7*1/(-5). -2/197 What is the value of 22/(-15)*115*1122/1182775? -4/25 Calculate (-3)/2*2*(-336)/9*80/280. 32 Evaluate (210/360*4)/(-4*(-91)/7020). 45 4*((-5)/100*-30)/(24/(-152)) -38 What is (-3)/((-4)/44*(-30)/210*49/(-7))? 33 What is (4/(-4)*(-49)/196)/((-5)/(-740))? 37 (-12)/10*37/((-17760)/64) 4/25 What is the value of (185*(-2)/2)/(2/(-22*(-8)/220))? -74 What is the value of (13/((-1404)/18))/(9/(-918))? 17 (-18)/(-6)*(-3)/(-405)*-2 -2/45 Calculate ((-135)/(-36))/(70/168)*(-10)/(-45). 2 Calculate 1/(3/(-864)*6). -48 What is ((-1)/(-26))/(62/34844*281)? 1/13 ((-250)/(-2275)*-7)/((-6)/429) 55 What is (-4)/(-75)*5*20/8*(-171)/(-2)? 57 Evaluate (-40)/10*18/(1260/14). -4/5 Evaluate 24*2937/(-1958)*17/(-36). 17 Calculate (112/(-1050)*-5)/((-120)/(-36)). 4/25 Evaluate ((-7711)/2804)/((-1419)/12). 1/43 ((-2)/(-6)*-1*(-20706)/(-6902))/((-1)/23) 23 What is (6*(-2)/(-195))/(172*(-25041)/(-548938))? 2/255 What is (-1)/(-2)*-1*48/852*2035783/1082? -53 What is (6/(-4)*39/104247*81)/((-1)/(-2))? -1/11 What is the value of ((-7)/((-140)/16))/((-10856)/460)? -2/59 (-216)/(-20)*(-6528)/(-1728)*((-5)/(-2))/(-1) -102 409/(1862177/1884)*29 12 What is the value of 55/60*608/456*2? 22/9 Calculate (-1)/(-2)*200/650*((-15730)/20)/(-11). 11 What is ((-6)/(-4)*116/(-87))/((-168)/(-252))? -3 Evaluate ((-8)/(-8))/(4/(-5)*9/216). -30 What is 45*(-8)/96*14/28? -15/8 ((16/10)/(-4))/(12*(-49)/(-294)) -1/5 1008/(-2688)*8*(-14)/483 2/23 Evaluate -2*465/(-240)*-8. -31 What is the value of 1575/(-2100)*(-55)/22*(-8)/(-5)? 3 (-164)/(-2337)*(4/(-16))/(3/36) -4/19 Evaluate 33/15*(-592110)/(-15147). 86 What is the value of 11/(-462)*8*98/(-112)*4*-1? -2/3 Calculate (-15)/48*(-9)/(-495)*22. -1/8 What is the value of (40/6)/((14/(-120))/(119/1904))? -25/7 What is 8/6*(-21)/(-8)*13632/174944? 3/11 ((-58)/(-116))/(((-630)/2664)/(-35)) 74 Evaluate 1/(8/6)*348/((-430128)/(-2266)). 11/8 What is the value of (147726/615525)/((-666)/(-50))? 2/111 What is the value of 8/(-740)*((-60)/(-84))/(117/(-273))? 2/111 -3*1330/2793*(-42)/(-75) -4/5 Calculate 250/(-5400)*-81*10/(-3)*12/(-10). 15 What is the value of 5764/12969*(-252)/((-4)/(-1))? -28 Evaluate 21552/8082*(-3)/(-6)*-9. -12 Evaluate (-1)/(-35)*124540/(-43589). -4/49 What is the value of (766/18767)/(-1*20/28)? -2/35 Evaluate ((-20569)/1535)/((-9)/(-45)). -67 What is the value of ((-28)/10)/(862/6465)? -21 Evaluate -24*(-4)/198*7/(28/(-15)). -20/11 What is (18/(-3))/((6/8)/(1178/(-248)))? 38 21*106/(12190/(-69)) -63/5 Evaluate 49/609*((-51)/(357/14))/(14/(-2)). 2/87 Calculate (-178)/((-1168)/1898*(-65)/10). -89/2 ((-17)/255*-25)/((-8)/40*-5) 5/3 28/(-96)*3*(-160)/560 1/4 What is (((-4)/(-714))/(401/(-5614)))/(((-8)/6)/(-2))? -2/17 Calculate 76/(-19)*360/560*(-7)/(-60). -3/10 Evaluate -55*(-130)/(-28600)*252. -63 Calculate (28/126)/((-219)/(-1533)). 14/9 What is the value of 156/36*1*(-1)/((-9)/((-27)/(-39)))? 1/3 Evaluate (-1848)/77*5/10. -12 What is ((-78)/(-351))/((-56)/(-63))*-36? -9 What is (77/(-56)*2)/(186/(-2976))? 44 Calculate (69/7590*-22)/(219/15). -1/73 What is ((-16)/(-28))/((-28)/8*31/(926590/40))? -122 ((-107460)/(-300888))/((15*1)/((-4)/(-1))) 2/21 (-4)/24*(-576)/2256 2/47 What is (6096/14224)/((-31)/(-7))? 3/31 What is the value of -1*(-2)/3*(-191)/545496*-252? 1/17 What is the value of (((-12)/32*2)/(153/4488))/(10/30)? -66 What is the value of (35/(-7)*14)/((108/12)/9)? -70 What is the value of (0/(-8*(-13)/(-104)))/2? 0 Calculate -21*140/(-1428)*-17. -35 What is the value of (20/(-120))/((-10)/40)*(-135)/10? -9 Evaluate 15097/2922*(-105)/35. -31/2 What is (((-32)/(-10))/4)/(151/(30200/(-10320)))? -2/129 What is 45474/4823*(-14)/(-3)? 44 (25/10)/((-2100)/280)*(-9)/624*2 1/104 What is the value of ((209/(-19))/297)/(-2*(-1)/60)? -10/9 What is the value of (108/(-72))/((-36)/(-768))? -32 Evaluate (2625/700)/((-2)/(-16)). 30 What is the value of (8/(-54))/((80/44)/(48/88))? -2/45 Calculate ((-1044)/24)/(
{ "pile_set_name": "DM Mathematics" }
968567.30438. Let u = d + -6521402751. Let x = 29 + u. Round x to seven dps. -0.0000004 Let z = 34 - 31. Suppose 0*q - 321000 = z*q. Round q to the nearest ten thousand. -110000 Let a = 646 + -643.824. Round a to one dp. 2.2 Let j = 3364 - 3363.999997669. Round j to seven dps. 0.0000023 Let o be (-5)/(-4)*12/3. Suppose -921 = -2*t + o. Round t to the nearest one hundred. 500 Let k = 138.271 - -1.129. What is k rounded to the nearest ten? 140 Let y(s) = -s - 13. Let p be y(-13). Suppose -3*m + p*m - 5*j = 80980, 4*j = 16. What is m rounded to the nearest 10000? -30000 Let n = 0.0188 + -7.1588. Let d = -4.8 + n. Let i = 12 + d. What is i rounded to 1 decimal place? 0.1 Let s(x) = -51110*x + 18. Let c be s(-9). Suppose 5*r + 4*w + c = 0, -5*r - 2*w + 0*w = 460004. What is r rounded to the nearest ten thousand? -90000 Let y = -23 - -24.44. What is y rounded to one decimal place? 1.4 Let h = -1030 + 441. What is h rounded to the nearest 10? -590 Let c = 6.195 + -1.305. What is c rounded to 1 dp? 4.9 Let g = 11.4621 + -0.0121. Let s = 11.8 - g. What is s rounded to zero dps? 0 Let f = -35.60775 - 0.02225. Let y = f - -3.23. What is y rounded to the nearest integer? -32 Let w = 0.382 + -0.052. Let p = w - -0.09. Let u = p + -0.419924. Round u to 5 dps. 0.00008 Suppose 0 = -2*l - 3*n + 58439997, 0*l = -l + 2*n + 29220002. What is l rounded to the nearest 1000000? 29000000 Let z = 2177024.99999985 - 2177022.1. Let f = -2.9 + z. Round f to seven dps. -0.0000002 Let s(k) = -k - 2. Let a be s(-3). Let m be a/(-3) - 2505/(-9). Suppose -54278 = -2*w + 2*l - m, 4*l + 135000 = 5*w. What is w rounded to the nearest 10000? 30000 Let g = -12.9 - -137.9. Let z = g - 66. Let m = -58.99871 + z. What is m rounded to four decimal places? 0.0013 Suppose -2*l + 2*i = 8, -4*i = l - 0*i + 19. Let n be l/21 - (-6751)/3. Round n to the nearest 100. 2300 Let n = 772 + -771.99999334. What is n rounded to 6 decimal places? 0.000007 Let p(b) = -760*b**3 - 4*b**2 + b + 3. Let a be p(-2). Round a to the nearest one thousand. 6000 Let s = -3439049.7 - -3439066.700063. Let w = 12 - 29. Let m = s + w. What is m rounded to five decimal places? 0.00006 Let y = -601 - -285. Let g = -329.3 - y. What is g rounded to the nearest integer? -13 Let x = -0.04244 + -0.061. What is x rounded to 3 decimal places? -0.103 Let r = -288759.5600315 + 288759. Let u = 0.56 + r. Round u to 6 dps. -0.000032 Let f = 12.4 - 47.3. Round f to the nearest integer. -35 Let c = 3.24 + -1.75. Let p = 0.19 - c. Let b = 1.30000005 + p. What is b rounded to seven decimal places? 0.0000001 Let o = -1.2572984663 - -1.2573. What is o rounded to 7 decimal places? 0.0000015 Let v be (-129 + -1)*2*506/88. Round v to the nearest ten. -1500 Let c = -0.0257 + 282.0257. Let d = c - 283.71. What is d rounded to one decimal place? -1.7 Let a = 31329 - 31263.067. Let c = 66 - a. What is c rounded to 2 dps? 0.07 Let q = -673 - -732.3. Let y = -57 + q. Let p = -2.304 + y. Round p to 2 decimal places. 0 Let v = 27 + -3. Let i be 2/4 - (-108)/v. Suppose -4*n - 563991 = -3*w, -5*w - 705015 = i*n - 0*n. What is n rounded to the nearest ten thousand? -140000 Let m = -682 + 625.9. Let j = -150 + 210. Let v = j + m. What is v rounded to zero dps? 4 Let k = 177 - 84. Let w = 154 - k. Let a = -61.0118 + w. What is a rounded to three dps? -0.012 Let d = -2817308.2058469 + 200373.2058461. Let q = -2616933 - d. Let l = q - 2. What is l rounded to 7 dps? 0.0000008 Suppose -45603 = 2*b + p, -25*b + 23*b + 2*p - 45594 = 0. Round b to the nearest 10000. -20000 Let g = -6430.3679798 + 6429.828. Let y = -0.54 - g. What is y rounded to 6 dps? -0.00002 Suppose 4*y + 103018 + 40582 = 0. What is y rounded to the nearest one thousand? -36000 Let a = 113.041 + -113. Round a to two dps. 0.04 Let y = 3.37 - 3.54856. Let k = 0.08138 - y. Let x = k + -0.26. What is x rounded to four decimal places? -0.0001 Let k(g) = g**2 + 11*g + 5. Suppose 0 = -3*i + 2 + 7. Let r = i + 4. Let c be k(r). Round c to the nearest 10. 130 Let n = 67 + -65. Suppose -8*q + 3*g - 171000006 = -5*q, -n*g + 57000004 = -q. What is q rounded to the nearest one million? -57000000 Suppose -4*f - 4*y + 43644 = 0, 8 = 7*y - 3*y. Let z(h) = 79*h**3 - 3*h**2 - h + 5. Let n be z(4). Let d = n - f. Round d to the nearest one thousand. -6000 Suppose 1053531607 = 16*h - 474628393. What is h rounded to the nearest one million? 96000000 Let j = -10906224 + 19506224. What is j rounded to the nearest 1000000? 9000000 Let t = -2445 - -2618.1. Let a = t - 186. Round a to 0 decimal places. -13 Let m(b) = b**3 - 16*b**2 + 24*b + 51. Let y be 4 + 15/(-4) + 83/4. Let o be m(y). Round o to the nearest one hundred. 2800 Let h = -52 + -9.8. Let j = 54 + h. What is j rounded to 0 decimal places? -8 Let i = -2942760 + 1949160. What is i rounded to the nearest 10000? -990000 Let n = -480.99422 + 481. What is n rounded to four decimal places? 0.0058 Suppose 0 = 6*t - 6118 - 6944. What is t rounded to the nearest one hundred? 2200 Let k = 58651 - 36956. Suppose 0 = -4*l + k + 18305. What is l rounded to the nearest 100000? 0 Let k = 1285 - 1285.007738. Let u = 95 - 94.992. Let s = u + k. What is s rounded to 5 decimal places? 0.00026 Let d = -74.75 - -1.45. Let v = -70.114 - -0.114. Let n = d - v. What is n rounded to 0 dps? -3 Let j = -7833312 - 26688. Round j to the nearest 100000. -7900000 Let u = -33650000.00326 - -33649624. Let m = u - -376. Round m to 4 dps. -0.0033 Let x be (0 + (-2)/(32/(-20)))*4. Suppose -x*l = 2*z - 19149996, -4*l - 4*z + 4363682 = -10956310. Round l to the nearest one hundred thousand. 3800000 Let g = 622.369438 - 619.14765087. Let r = g + -91.22179283. Let o = r - -88. Round o to six dps. -0.000006 Let n = -99476.43441 - -99486.414074501. Let y = 0.979664481 - n. Let t = 9 + y. Round t to 7 decimal places. 0 Let v = 248731.08845 + -249012.08844606. Let f = -281 - v. What is f rounded to six dps? -0.000004 Let m = -54 + 45.6. Let b = -12.1 - m. Let o = b + 3.69966. Round o to four dps. -0.0003 Let t(z) = -732014*z - 98. Let n be t(-7). Round n to the nearest one hundred thousand. 5100000 Let v = -0.1337 - -0.08025. What is v rounded to two decimal places? -0.05 Let i = 6127 - -576. Let r be (-2 - (-6)/(-2))*i. Let m = -9485 + r. What is m rounded to the nearest ten thousand? -40000 Suppose -12037083 - 71802917 = -16*l. What is l rounded to the nearest 100000? 5200000 Let z = 0.62 - 9.22. Let n = z - -7. Let s = n - -1.60035. Round s to 4 decimal places. 0.0004 Let d = -6.6431 + -0.1649. Let t = -6.7 - d. Round t to 2 decimal places. 0.11 Let u = 9348055675.90000461 + -9348055724. Let k = u + 48.1. What is k rounded to seven decimal places? 0.0000046 Let t be 250*(488/5 + -12). Round t to the nearest one hundred. 21400 Suppose -1 = -f + 2. Suppose -112 = 4*o + f*u, -3*o - 4*u = -u + 87. What is o rounded to the nearest 10? -30 Let z = 7 + -4. Let y be 2*14/(-36) + 24/(-108). Let r be (-30000)/((z/890)/y). What is r rounded to the nearest 1000000? 9000000 Let d = 3.6199 + 0.0301. What is d rounded to the nearest ten? 0 Suppose -6*a - a = 0. Let h(z) = z**2 - z - 183000. Let c be h(a). What is c rounded to the nearest 10000? -180000 Let y = -326 + 325.999999926. What is y rounded to 7 decimal places? -0.0000001 Let n = 1928081367 + -1928081586.9999863. Let y = 219.9095 + 0.0905. Let s = y + n. Round s to 6 dps. 0.000014 Let v = -36 - -35.994. Let p = -0.0059914 - v. What is p rounded to 6 dps? 0.000009 Let b(c) = c + 6. Let i = -29 + 23. Let l be b(i). Let s be 11300001 + (3 - l) + -4. What is s rounded to the nearest 1000000? 11000000 Let f(y) = 532077*y + 3. Let g be (-1 + -1)*(-1 - 0). Let b be f(g). Let s = -264157 + b. Round s to the nearest one million. 1000000 Suppose 0 = 14*c - 24*c + 9060. Round c to the nearest 10. 910 Let s = 741.99996392 + -742. Round s to six decimal places. -0.000036 Let h = -1920.00008645 + 1920. What is h rounded to 6 decimal places? -0.000086 Suppose -60 = 3*s - s - 5*y, 4*s + 104 = 2*y. Let f = 18 - s. What is f rounded to the nearest ten? 40 Let v(c) be the second derivative of 610*c**4/3 - c**3/2 + 15*c**2/2 - 22*c. Let h be v(5). What is h rounded to the nearest ten thousand? 60000 Let x = -236.5 - -261. What is x rounded to the nearest integer
{ "pile_set_name": "DM Mathematics" }
-3*q + 2*q + o = -5*l. List the prime factors of q. 2, 3, 31 Suppose v + 3*z = 62, -v + z + 50 = -0*v. Suppose 534 = 2*a - 2*m, -4*m - v = -a + 199. Let f = a + -158. List the prime factors of f. 2, 3, 19 Let t be (-89)/(-1*(-1)/(-2)). Let m(q) = 34*q + 1051. Let w be m(-34). Let j = t + w. What are the prime factors of j? 73 Suppose 244*i = 238*i + 65064. What are the prime factors of i? 2, 2711 Let x(n) = 5*n + 426. Let h be x(0). What are the prime factors of h - (9 - 4*9/12)? 2, 3, 5, 7 Suppose 45*x - 7*x = 271738. List the prime factors of x. 7151 Suppose 2*q = 3*p + 15558 - 675, -12 = 4*p. What are the prime factors of q? 3, 37, 67 Let g(j) = -136*j + 64. Let o be g(-7). Suppose 4*h - 31 = -3. Suppose o = b + h*b. What are the prime factors of b? 127 Let k be 387/27 - 4/(-6). Suppose 0*x = -4*x. Suppose -2*o - 2*o + 5*a + 67 = x, k = -5*a. List the prime factors of o. 13 Let d = -22893 + 33057. What are the prime factors of d? 2, 3, 7, 11 Suppose 16*n - 20*n = -1832. What are the prime factors of 2*-1*n/(-2)? 2, 229 Suppose 22 = 4*i - 18. Suppose 0 = -i*g - 1049 + 5799. Suppose v + g = 6*v. List the prime factors of v. 5, 19 Suppose 86*p - 908502 = -108*p. What are the prime factors of p? 3, 7, 223 What are the prime factors of 6233/(-5)*130/104*-4? 23, 271 Let i = -17 - -62. Let j be 58/18 + (-10)/i. Suppose -j*z + 294 = -30. List the prime factors of z. 2, 3 Suppose -7545 = -511*r + 341*r + 1765725. List the prime factors of r. 3, 19, 61 Let a(q) = 3*q**2 + 83*q + 2715. What are the prime factors of a(-71)? 5, 2389 Let s = -35972 - -61540. List the prime factors of s. 2, 17, 47 Let x(v) be the third derivative of v**4 + 3*v**3/2 + 26*v**2 + 1. What are the prime factors of x(4)? 3, 5, 7 Suppose -5*s + 16*q - 15*q = -12295, 2*s - 4918 = -5*q. Suppose -4*x - s = -6811. What are the prime factors of x? 2, 17 Let s(o) = -8*o**3 - 21*o**2 - o + 39. Let c(u) = 4*u**3 + 10*u**2 - 20. Let r(b) = 7*c(b) + 3*s(b). List the prime factors of r(4). 3, 37 Let p(j) be the first derivative of 20*j**3/3 + 3*j**2/2 + 2*j - 8. What are the prime factors of p(-4)? 2, 5, 31 Suppose 5*f - 2*o = 49023, f - o = 6355 + 3446. List the prime factors of f. 3, 7, 467 Let v(c) = -52*c - 52. Suppose 10*y + 111 = -79. List the prime factors of v(y). 2, 3, 13 Suppose -s = -a - 8593 + 1462, -5*s - 5*a = -35635. What are the prime factors of s? 7129 Suppose -4*c + 67628 = -4*r, 6*r + 36 = 10*r. List the prime factors of c. 2, 4229 Suppose 5*k - 26107 = 4*w, 2*w - 10447 = -2*k + 5*w. List the prime factors of k. 17, 307 Let a(p) = 37*p**2 + 30*p - 81. Let y be a(8). Let q = y - 1499. What are the prime factors of q? 2, 257 Let t = -3300 - -6794. What are the prime factors of t? 2, 1747 List the prime factors of (1322816/14)/2 + (-18)/42. 7, 17, 397 Let y(i) = 93*i**2 - 4*i - 22. List the prime factors of y(-11). 5, 11, 41 Let v be 0*(-2)/4 - -56. Suppose 0 = v*d - 35*d - 14952. What are the prime factors of d? 2, 89 Suppose -34*h + 33*h + 2 = 0. Suppose 132 = m - y, -47 = -h*m - 2*y + 209. What are the prime factors of m? 2, 5, 13 Suppose -4*o = -4*s + 42388, 0 = 5*s - 3*o - 47645 - 5358. List the prime factors of s. 2, 5303 Suppose -24320 - 34688 = -64*y. What are the prime factors of y? 2, 461 Let f(i) = 79*i**2 + 364*i - 26. What are the prime factors of f(18)? 2, 16061 Let h(y) = 4*y**2 - 8*y + 22. Let q be h(8). What are the prime factors of -38*q/(-20) + 4/10? 11, 37 Let q = 7 + -7. Let z be (q + -8)*(-6)/12. Suppose 0 = -i + 4*y + 3 + 23, 3*i = -z*y + 14. List the prime factors of i. 2, 5 Let q(v) = v**3 - 26*v**2 - 90. Let g be q(26). Let x = g - -294. List the prime factors of x. 2, 3, 17 Suppose -405*d + 382*d + 176157 = 0. What are the prime factors of d? 3, 23, 37 Suppose 2*p = -4*h - 12, -8 - 8 = 4*h. Let z be 23 + 0 - (1 - p). Suppose -z = -2*d + 14. List the prime factors of d. 19 Let m(k) = 493*k**2 + 135*k + 24. What are the prime factors of m(5)? 2, 11, 37 Let h(z) = -4314*z - 5401. What are the prime factors of h(-6)? 20483 Let k(v) be the third derivative of v**6/120 - 11*v**5/30 - 19*v**4/12 - 23*v**3/6 - 24*v**2. What are the prime factors of k(24)? 7, 31 Let h = -36514 - -87068. List the prime factors of h. 2, 7, 23, 157 Let q(d) = -1138*d + 1017. List the prime factors of q(-31). 5, 7, 17, 61 Suppose 0 = -5*d - 2*h + 26, -3*d + 4*h - 8 = -2*d. Let a be 5 - (-23*d)/4. What are the prime factors of 6/(-21) + (-8)/a*-561? 2, 5 Let a(w) = -13*w**3 - w**2 + 4*w + 6. Let q be a(5). Let j = -1145 - q. Let r = -281 + j. What are the prime factors of r? 2, 3, 11 Let m = 25 + -24. List the prime factors of -9*m*2603/(-57). 3, 137 Suppose 85 = -161*s + 144*s. Let h(m) = 0 - 1 + 3*m + m + m**2. What are the prime factors of h(s)? 2 Let n be ((-4)/(-30))/(39/585). Let v be -7*1*(-20)/14. List the prime factors of 148 + 0*(v/4 - n). 2, 37 Let a(j) = j**3 - j**2 - j - 1. Let s be a(2). Let v = s + -3. List the prime factors of (-1712)/(-24) - v/3. 2, 3 Let p be 1*172*(-6)/(-8). Let g = -24 + 27. Suppose -2*o + o = -g*x - 21, -5*o + 3*x = -p. What are the prime factors of o? 3 Let j = -1146 + -989. Let v = -881 - j. List the prime factors of v. 2, 3, 11, 19 Let u be (-2 + -1 + 6)/((-30)/(-75830)). Suppose u = -4*k - 8037. List the prime factors of (-1)/3*1 - k/33. 2, 59 Let u(i) = -5*i**3 + 79 + 240*i + 4*i**3 - 216*i + 21*i**2. List the prime factors of u(22). 3, 41 Suppose -26487 = -29*t + 2484. What are the prime factors of t? 3, 37 Suppose 0 = -19*y + 17*y - 4. Let v(x) = -5*x**2 - 5*x - 7. Let a be v(y). Let r(b) = -12*b - 20. List the prime factors of r(a). 2, 23 Suppose 4*v - 5*y + 46 + 159 = 0, -15 = 5*y. List the prime factors of -1 - (v + 5 + -3). 2, 13 Let k be 42 + 0 + 0 + (9 - 6). Let j = -45 + k. Let b(h) = -h**3 + h**2 + 136. List the prime factors of b(j). 2, 17 Let y = 5079 + 7249. What are the prime factors of y? 2, 23, 67 Suppose -5*p - 5*k + 0*k + 45 = 0, 12 = 4*p - 2*k. Suppose -15*o = -20*o + p. Let a(u) = 89*u**3 - 2*u**2 - u + 1. What are the prime factors of a(o)? 3, 29 Suppose 2*i = 4, 2368 + 185 = 5*s + 4*i. Let x = 1081 - s. What are the prime factors of x? 2, 11, 13 Let i(c) = 3*c**2 - 20*c - 645. List the prime factors of i(-57). 2, 3, 569 Let i(t) = 2*t**3 + 2*t**2 + t + 1. Let g be i(-3). Let f = g - -42. Suppose 2*y + 4*z = 7*y - 245, 0 = -f*y + 2*z + 196. List the prime factors of y. 7 Let f(d) = -d + 30. Let l be f(24). Let k be (-3 - -2) + (3 - l) + 8. Suppose 0*t - k*t = -2*h + 226, -5*h = -t - 610. List the prime factors of h. 3, 41 Let v = 590 - 587. Suppose -v*g + 1224 = 4*o - 2380, 3*o - 2724 = 3*g. List the prime factors of o. 2, 113 Let t(v) = 9*v**2 - 2*v + 15. Let k(d) = 8*d + 116. Let g be k(-15). List the prime factors of t(g). 167 Let d(o) = 134*o**2 - 7*o - 2. Let b be d(-1). Let h = 30 + b. List the prime factors of h. 13 Suppose 141 = t + 7*p - 5*p, -5*t + p + 749 = 0. Suppose r - 2*n = 2*n + 87, -2*r + 4*n = -158. Let z = t - r. List the prime factors of z. 2, 3, 13 Suppose -714*t + 61926378 = 20764278. List the prime factors of t. 2, 5, 1153 What are the prime factors of (0 - (0 - 82474/4))*(-3880)/(-6790)? 2, 43, 137 Let j(b) = 14*b - 78. Let d be j(7). Let z = d + 18. What are the prime factors of z? 2, 19 Let d be ((-1140)/8)/15*-406. Suppose 5*f - 1123 = d. What are the prime factors of f? 2, 3, 83 Let l(j) = -5*j**2 - j + 1. Let c(h) = -6*h**2 - h + 1. Let b(p) = 4*c(p) - 5*l(p). Let z be b(0). List the prime factors of (z/(-1))/(-1 - -2) - -16. 17 Let k = 253 - 150. Let m(g) = -70*g**2 + g + 1. Let c be m(-1). Let r = k + c. List the prime factors of r. 3, 11 Let k(a) = 102*a - 53. Let i be k(-8). Let f = -97 - i. What are the prime factors of f? 2, 193 Suppose 67*r = 66*r + 8. Suppose r*m - 310 = -46. List the prime factors of m. 3, 11 Let t(g) = 12*g - 6. Let f = 3 + 1. Suppose 52 - f = 8*n. What are the prime factors of t(n)? 2, 3, 11 Let c(r) be the second derivative of -r**5/20 - 31*r**4/12 + 13*r**3/3 + 22*r**2 - 4*r - 29. List the prime factors of c(-32). 2, 59 Let f be 5/((-90)/4) - (-72226)/126. Let d be 24/(-4) + 4 + f - 2. Let i = d - 404. List the prime factors of i. 3, 5, 11 Let j(s) = 53*s**2 - 3. Let n(f) = f**3 - 9*f**2 - 10*f + 3. Let z be n(10). What are the prime factors of j(z)? 2
{ "pile_set_name": "DM Mathematics" }
rue Does 46 divide 7314? True Is 9 a factor of 123? False Does 41 divide 10906? True Is 49 a factor of 2793? True Is 86 a factor of 30788? True Does 33 divide 329? False Is 14 a factor of 836? False Is 52 a factor of 832? True Is 15 a factor of 4286? False Is 258 a multiple of 13? False Is 544 a multiple of 103? False Does 13 divide 156? True Does 46 divide 11270? True Does 7 divide 313? False Is 34 a factor of 1188? False Does 10 divide 5635? False Is 1014 a multiple of 57? False Does 202 divide 6868? True Is 14679 a multiple of 158? False Is 6 a factor of 4298? False Is 16 a factor of 881? False Is 31 a factor of 7653? False Does 4 divide 239? False Is 1456 a multiple of 56? True Is 1994 a multiple of 14? False Does 7 divide 1687? True Is 49 a factor of 102067? True Is 11 a factor of 13404? False Is 4816 a multiple of 172? True Is 21 a factor of 1281? True Is 4522 a multiple of 14? True Is 33300 a multiple of 185? True Is 163 a multiple of 12? False Is 53 a factor of 106? True Is 167 a factor of 35738? True Does 31 divide 2914? True Does 4 divide 1356? True Does 30 divide 47870? False Does 34 divide 13455? False Does 14 divide 33237? False Is 817 a multiple of 16? False Is 14 a factor of 669? False Does 8 divide 244? False Does 224 divide 14938? False Is 12 a multiple of 12? True Does 52 divide 14768? True Is 1305 a multiple of 72? False Is 66871 a multiple of 16? False Does 8 divide 14227? False Is 14 a factor of 1478? False Does 5 divide 8303? False Is 52 a factor of 2279? False Is 5 a factor of 2107? False Does 77 divide 27104? True Is 15 a factor of 58995? True Is 5112 a multiple of 23? False Is 421 a multiple of 9? False Is 4838 a multiple of 98? False Is 10 a factor of 180? True Is 34225 a multiple of 43? False Does 3 divide 380? False Is 163 a multiple of 8? False Is 11 a factor of 528? True Is 5139 a multiple of 9? True Does 69 divide 28899? False Does 37 divide 8927? False Is 16614 a multiple of 71? True Is 59 a factor of 1180? True Does 5 divide 9013? False Does 15 divide 11685? True Is 36 a factor of 3034? False Is 84 a factor of 4872? True Is 1395 a multiple of 42? False Is 87 a factor of 945? False Is 22 a multiple of 19? False Is 13 a factor of 585? True Is 150 a multiple of 15? True Is 14 a factor of 3528? True Is 91 a factor of 10042? False Is 757 a multiple of 7? False Is 16435 a multiple of 14? False Is 39093 a multiple of 199? False Is 8 a factor of 442? False Is 350 a multiple of 35? True Is 26 a factor of 4472? True Is 108 a factor of 6734? False Is 594 a multiple of 22? True Is 176 a factor of 5456? True Is 2869 a multiple of 15? False Does 26 divide 22041? False Does 9 divide 4208? False Does 13 divide 4238? True Is 106 a factor of 1272? True Does 15 divide 165? True Is 2884 a multiple of 65? False Is 24 a factor of 2077? False Is 4260 a multiple of 10? True Does 32 divide 384? True Is 1750 a multiple of 10? True Is 12 a factor of 1265? False Does 7 divide 49? True Does 21 divide 4718? False Is 173 a factor of 37343? False Is 620 a multiple of 42? False Is 1421 a multiple of 2? False Does 26 divide 780? True Is 119 a factor of 2380? True Is 197 a multiple of 7? False Is 75 a factor of 1272? False Is 209 a factor of 2727? False Is 96 a factor of 10441? False Is 39060 a multiple of 14? True Does 6 divide 1528? False Is 5480 a multiple of 5? True Is 98 a multiple of 14? True Is 111 a factor of 6874? False Is 452 a multiple of 16? False Is 75 a factor of 150? True Is 452 a multiple of 12? False Is 33 a factor of 9240? True Does 54 divide 3064? False Is 360 a factor of 95599? False Does 20 divide 150938? False Is 103128 a multiple of 24? True Is 10 a factor of 130? True Is 4 a factor of 213? False Is 44754 a multiple of 107? False Is 23760 a multiple of 54? True Does 90 divide 760? False Is 70 a factor of 2380? True Is 23 a factor of 24395? False Is 48657 a multiple of 147? True Does 105 divide 11655? True Is 3 a factor of 114? True Does 4 divide 54? False Is 14 a factor of 1166? False Is 14 a factor of 1012? False Does 35 divide 560? True Is 5 a factor of 8140? True Is 3 a factor of 102? True Does 3 divide 189? True Is 3447 a multiple of 18? False Does 92 divide 27692? True Is 20690 a multiple of 10? True Does 12 divide 1736? False Is 3528 a multiple of 3? True Does 11 divide 1430? True Does 107 divide 45154? True Is 6107 a multiple of 31? True Is 25 a factor of 300? True Is 6 a factor of 13968? True Is 11328 a multiple of 236? True Does 15 divide 581? False Is 6 a factor of 150? True Does 5 divide 340? True Is 1791 a multiple of 15? False Does 94 divide 21902? True Is 42 a factor of 24100? False Does 79 divide 9085? True Is 4 a factor of 1780? True Is 3 a factor of 24? True Is 11 a factor of 44297? True Is 13 a factor of 82980? False Is 38 a factor of 14618? False Is 83 a factor of 373? False Does 124 divide 15872? True Is 65 a factor of 1755? True Does 3 divide 16008? True Is 106 a factor of 15900? True Is 4850 a multiple of 2? True Does 2 divide 123? False Is 7 a factor of 757? False Does 10 divide 13450? True Is 449 a multiple of 6? False Does 35 divide 6405? True Is 934 a multiple of 78? False Is 29 a factor of 2169? False Is 7 a factor of 7166? False Is 16 a factor of 2160? True Does 13 divide 98501? True Is 113 a factor of 6441? True Is 1238 a multiple of 159? False Does 9 divide 468? True Does 14 divide 3850? True Does 9 divide 279? True Is 17 a factor of 1904? True Is 22 a factor of 424? False Does 13 divide 178? False Is 184 a multiple of 8? True Is 93 a multiple of 2? False Does 7 divide 111? False Is 6 a factor of 161? False Does 26 divide 3744? True Is 11835 a multiple of 21? False Is 10 a factor of 50? True Does 29 divide 1588? False Does 66 divide 64020? True Is 18 a factor of 1327? False Does 23 divide 12397? True Is 24380 a multiple of 56? False Is 688 a multiple of 34? False Is 2369 a multiple of 14? False Is 227 a multiple of 68? False Is 5036 a multiple of 15? False Is 380 a multiple of 20? True Does 28 divide 1288? True Is 2661 a multiple of 128? False Is 62880 a multiple of 16? True Is 6 a factor of 575? False Does 77 divide 7739? False Is 3178 a multiple of 16? False Is 37 a factor of 2405? True Does 18 divide 942? False Is 69 a factor of 1080? False Is 7359 a multiple of 33? True Does 134 divide 25650? False Is 35 a factor of 71050? True Is 88 a multiple of 4? True Does 9 divide 2514? False Is 2 a factor of 71? False Is 4720 a multiple of 35? False Does 18 divide 139? False Does 13 divide 909? False Is 99329 a multiple of 150? False Does 5 divide 4157? False Is 11 a factor of 18551? False Is 15 a factor of 13170? True Does 15 divide 179? False Is 143 a factor of 15873? True Does 56 divide 1568? True Is 81 a factor of 995? False Is 5709 a multiple of 17? False Is 123 a multiple of 6? False Is 725 a multiple of 15? False Does 15 divide 135? True Is 4 a factor of 9239? False Is 49 a factor of 1984? False Does 16 divide 2912? True Is 215 a factor of 106889? False Is 155 a factor of 4650? True Does 13 divide 39? True Does 187 divide 17168? False Does 10 divide 2258? False Is 70 a factor of 4480? True Is 21 a multiple of 6? False Is 135 a factor of 26730? True Is 79990 a multiple of 32? False Is 22008 a multiple of 8? True Does 50 divide 1602? False Is 13 a factor of 793? True Is 8 a factor of 20228? False Is 270 a multiple of 8? False Is 33480 a multiple of 20? True Is 57 a factor of 15333? True Does 15 divide 520? False Does 135 divide 2122? False Does 8 divide 2544? True Is 600 a multiple of 12? True Is 164 a multiple of 32? False Is 25 a factor of 703? False Does 46 divide 3339? False Is 79 a factor of 20067? False Is 99 a factor of 24156? True Does 30 divide 9226? False Does 32 divide 431? False Does 55 divide 412? False Is 146 a factor of 292? True Is 2 a factor of 149? False Does 51 divide 1632? True Is 402 a multiple of 63? False Is 6840 a multiple of 11? False Is 586 a multiple of 3? False Is 5468 a multiple of 4? True Does 188 divide 59220? True Is 4032 a multiple of 36? True Does 104 divide 28154? False Is 515 a multiple of 5? True Is 173 a factor of 61415? True Is 2340 a multiple of 15? True Is 7210 a multiple of 231? False Does 13 divide 2288? True Is 72 a factor of 5544? True Does 11 di
{ "pile_set_name": "DM Mathematics" }
0 11 -4 (base 10) to base 7 -4 -30 (base 5) to base 9 -16 What is 1022 (base 3) in base 9? 38 -5 (base 13) to base 12 -5 What is 108 (base 11) in base 4? 2001 465 (base 8) to base 11 261 -1101 (base 2) to base 10 -13 Convert -1 (base 6) to base 7. -1 What is -3a (base 12) in base 4? -232 Convert 5 (base 6) to base 14. 5 -20101 (base 3) to base 9 -211 What is 110 (base 2) in base 9? 6 Convert 19 (base 11) to base 14. 16 4 (base 16) to base 15 4 What is 12 (base 11) in base 13? 10 Convert -33 (base 16) to base 11. -47 -2 (base 14) to base 5 -2 Convert 6 (base 9) to base 12. 6 What is -4 (base 8) in base 7? -4 10 (base 7) to base 12 7 Convert 54 (base 7) to base 9. 43 Convert -8 (base 15) to base 16. -8 What is -55 (base 6) in base 2? -100011 -123 (base 4) to base 9 -30 1 (base 16) to base 3 1 4 (base 10) to base 13 4 Convert c (base 15) to base 8. 14 What is 2 (base 15) in base 3? 2 4 (base 11) to base 9 4 Convert 12 (base 14) to base 12. 14 Convert -53 (base 10) to base 2. -110101 What is -3 (base 8) in base 6? -3 Convert 3a (base 12) to base 5. 141 What is -21 (base 3) in base 7? -10 -7 (base 11) to base 5 -12 -21 (base 3) to base 14 -7 What is -20 (base 4) in base 7? -11 Convert -3 (base 8) to base 9. -3 11 (base 3) to base 10 4 Convert 3 (base 10) to base 9. 3 Convert 21 (base 3) to base 5. 12 Convert -1112 (base 3) to base 5. -131 What is -47 (base 10) in base 4? -233 12120 (base 3) to base 8 226 c2 (base 15) to base 2 10110110 10 (base 11) to base 12 b -27 (base 10) to base 5 -102 -105 (base 7) to base 8 -66 -27 (base 13) to base 11 -30 Convert -4 (base 5) to base 7. -4 Convert 1 (base 13) to base 6. 1 -30 (base 4) to base 16 -c -2 (base 9) to base 10 -2 Convert 8 (base 14) to base 6. 12 What is -6 (base 16) in base 10? -6 1 (base 13) to base 11 1 Convert -b0 (base 14) to base 6. -414 Convert -2 (base 10) to base 2. -10 What is 0 (base 13) in base 11? 0 Convert 2 (base 16) to base 3. 2 Convert 14 (base 9) to base 13. 10 8d (base 14) to base 10 125 What is -23 (base 6) in base 2? -1111 Convert 4 (base 8) to base 16. 4 What is 1c (base 14) in base 7? 35 2 (base 6) to base 16 2 What is -7 (base 8) in base 16? -7 What is 105 (base 12) in base 16? 95 1a8 (base 12) to base 2 100010000 What is -9 (base 16) in base 7? -12 Convert 158 (base 12) to base 5. 1322 25 (base 16) to base 13 2b Convert -2b (base 15) to base 2. -101001 Convert 261 (base 8) to base 16. b1 What is 14 (base 12) in base 5? 31 What is -3 (base 7) in base 4? -3 What is 8 (base 11) in base 12? 8 Convert -5 (base 9) to base 15. -5 -32 (base 5) to base 7 -23 What is -144 (base 7) in base 11? -74 Convert 19 (base 10) to base 13. 16 Convert 10 (base 3) to base 4. 3 Convert 174 (base 14) to base 12. 20a What is -4 (base 12) in base 7? -4 What is -314 (base 7) in base 5? -1113 Convert 24 (base 12) to base 16. 1c -100 (base 7) to base 11 -45 Convert 0 (base 7) to base 12. 0 100 (base 2) to base 13 4 Convert 32 (base 8) to base 13. 20 10200 (base 3) to base 16 63 -112 (base 7) to base 8 -72 -3 (base 7) to base 11 -3 What is 303 (base 6) in base 14? 7d Convert b1 (base 14) to base 2. 10011011 3 (base 10) to base 6 3 111 (base 3) to base 16 d Convert -d (base 15) to base 11. -12 Convert -31 (base 12) to base 5. -122 Convert 9 (base 15) to base 12. 9 Convert -4 (base 10) to base 6. -4 What is -90 (base 11) in base 14? -71 -50 (base 15) to base 8 -113 Convert -9 (base 16) to base 10. -9 1a (base 15) to base 12 21 What is -4 (base 15) in base 10? -4 Convert 61 (base 7) to base 15. 2d -1 (base 9) to base 10 -1 What is 10 (base 2) in base 15? 2 Convert 128 (base 9) to base 3. 10222 What is -2 (base 7) in base 4? -2 What is 442 (base 5) in base 9? 145 -2 (base 15) to base 8 -2 What is -1 (base 16) in base 13? -1 Convert a (base 15) to base 8. 12 155 (base 6) to base 9 78 101001 (base 2) to base 11 38 f (base 16) to base 10 15 2 (base 3) to base 4 2 Convert 2 (base 9) to base 2. 10 Convert 6 (base 10) to base 11. 6 0 (base 2) to base 5 0 What is -12 (base 3) in base 12? -5 What is 3 (base 16) in base 12? 3 What is -313 (base 6) in base 3? -11100 Convert -12 (base 4) to base 5. -11 What is 62 (base 8) in base 14? 38 -3 (base 13) to base 8 -3 -110 (base 3) to base 14 -c Convert 9 (base 15) to base 6. 13 Convert -4 (base 7) to base 9. -4 What is 9 (base 11) in base 7? 12 -10 (base 13) to base 12 -11 Convert -4 (base 13) to base 3. -11 Convert -101010011 (base 2) to base 14. -1a3 Convert -6 (base 11) to base 8. -6 Convert 5 (base 8) to base 10. 5 Convert 9 (base 16) to base 15. 9 -6 (base 13) to base 7 -6 Convert 22 (base 8) to base 3. 200 What is 2 (base 14) in base 13? 2 What is -1 (base 12) in base 2? -1 53 (base 11) to base 5 213 What is -c (base 14) in base 12? -10 What is -7b (base 12) in base 5? -340 4 (base 13) to base 6 4 What is 0 (base 6) in base 8? 0 What is 75 (base 8) in base 3? 2021 12 (base 14) to base 12 14 -24 (base 11) to base 8 -32 Convert -2 (base 16) to base 6. -2 Convert -3 (base 8) to base 3. -10 Convert -101 (base 2) to base 15. -5 Convert 46 (base 15) to base 2. 1000010 What is ab (base 13) in base 15? 96 Convert 3 (base 7) to base 4. 3 What is -452 (base 6) in base 3? -20112 What is -4 (base 6) in base 3? -11 Convert -1 (base 10) to base 3. -1 What is -121 (base 5) in base 11? -33 -31 (base 4) to base 16 -d What is 11 (base 2) in base 13? 3 -340 (base 5) to base 7 -164 -3 (base 16) to base 6 -3 What is 30 (base 9) in base 2? 11011 Convert -4 (base 6) to base 14. -4 Convert -134 (base 7) to base 15. -4e What is 22 (base 5) in base 3? 110 What is 21112 (base 3) in base 15? d8 What is 8 (base 11) in base 4? 20 Convert -5 (base 7) to base 13. -5 3 (base 9) to base 3 10 3 (base 6) to base 11 3 Convert -66 (base 7) to base 15. -33 -3 (base 15) to base 16 -3 Convert -4 (base 11) to base 3. -11 What is 10101 (base 2) in base 3? 210 Convert 4 (base 5) to base 8. 4 What is -1 (base 3) in base 4? -1 What is 513 (base 6) in base 8? 275 Convert 2f (base 16) to base 11. 43 What is -13 (base 10) in base 7? -16 -300 (base 4) to base 14 -36 5 (base 15) to base 6 5 What is -1 (base 7) in base 6? -1 What is 0 (base 3) in base 11? 0 -101 (base 2) to base 15 -5 What is 3 (base 13) in base 16? 3 Convert 18 (base 11) to base 9. 21 What is 1 (base 5) in base 2? 1 Convert -7 (base 12) to base 15. -7 -314 (base 5) to base 8 -124 71 (base 9) to base 12 54 What is -235 (base 7) in base 13? -97 What is 3 (base 8) in base 14? 3 What is 223 (base 6) in base 10? 87 What is -119 (base 12) in base 8? -245 Convert 5 (base 7) to base 14. 5 a (base 15) to base 12 a What is 0 (base 4) in base 15? 0 Convert 5 (base 16) to base 15. 5 -3a (base 13) to base 14 -37 -4 (base 7) to base 14 -4 Convert -10 (base 5) to base 2. -101 Convert -15 (base 8) to base 9. -14 -28 (base 10) to base 9 -31 1a6 (base 13) to base 3 102022 Convert -241 (base 11) to base 10. -287 2 (base 5) to base 4 2 11 (base 7) to base 10 8 What is -40 (base 16) in base 8? -100 Convert -11 (base 5) to base 8. -6 -6 (base 13) to base 9 -6 Convert 10 (base 13) to base 8. 15 1 (base 9) to base 6 1 What is 77 (base 12) in base 6? 231 What is -5 (base 6) in base 13? -5 Convert -32 (base 12) to base 5. -123 Convert 2110 (base 3) to base 10. 66 100 (base 4) to base 7 22 What is b (base 16) in base 7? 14 What is -12200 (base 3) in base 13? -ba What is -101 (base 3) in base 8? -12 Convert -d (base 16) to base 8. -15 -2 (base 5) to base 7 -2 What is -400 (base 8) in base 10? -256 What is 0 (base 10) in base 13? 0 What is 33 (base 6) in base 11? 1a 8c (base 13) to base 6 312 What is 16 (base 13) in base 11? 18 a (base 11) to base 9 11 What is -1 (base 16) in base 10? -1 What is 2042 (base 5) in base 14? 156 What is 2 (base 15) in base 7? 2 What is 21 (base 4) in base 7? 12 What is 303 (base 5) in base 7? 141 15 (base 8) to base 15 d 6 (base 15) to base 7 6 What is 111 (base 2) in base 3? 21 111 (base 5) to base 14 23 157 (base 9) to base 3 11221 What is -9 (base 12) in base 4? -21 Convert 1 (base 12) to base 15. 1 43 (base 16) to base 9 74 What is -170 (base 8) in base 16? -78 Convert -1 (base 3) to base 7. -1 What is 6 (base 10) in base 8? 6 What is 57 (base 10) in base 7? 111 What is -5 (base 8) in base 4? -11 What is 510 (base 9) in base 5? 3124 Convert
{ "pile_set_name": "DM Mathematics" }
icked without replacement from yyyyvvyyy. 1/6 Three letters picked without replacement from {k: 2, q: 1, b: 7, e: 5, c: 3}. What is prob of picking 1 b and 2 c? 7/272 What is prob of picking 1 x and 1 p when two letters picked without replacement from aammpmppxl? 1/15 Calculate prob of picking 2 l when two letters picked without replacement from {z: 1, v: 2, w: 2, f: 3, j: 2, l: 2}. 1/66 Two letters picked without replacement from {z: 1, v: 3, c: 2, j: 3, k: 9}. What is prob of picking 1 c and 1 j? 2/51 Three letters picked without replacement from qqqqqqhhshyqsx. Give prob of picking 2 s and 1 y. 1/364 Two letters picked without replacement from xxxfxxfxxxxfxxxx. What is prob of picking 1 f and 1 x? 13/40 What is prob of picking 1 k and 3 x when four letters picked without replacement from xqpqpwwxxpxnkxx? 4/273 Three letters picked without replacement from {s: 4, e: 7}. Give prob of picking 2 s and 1 e. 14/55 Calculate prob of picking 2 w and 1 j when three letters picked without replacement from wwjwwwjwjw. 21/40 Two letters picked without replacement from {r: 2, a: 1, y: 2, s: 2, f: 1, j: 1}. What is prob of picking 1 j and 1 f? 1/36 Calculate prob of picking 2 y and 2 h when four letters picked without replacement from {h: 6, y: 7}. 63/143 Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {l: 11, e: 2}. 11/39 What is prob of picking 1 o and 1 x when two letters picked without replacement from muhhxhhuhhhohhmhhhhm? 1/190 Four letters picked without replacement from {n: 8, a: 3}. Give prob of picking 2 n and 2 a. 14/55 Four letters picked without replacement from {a: 7, t: 5}. Give prob of picking 1 a and 3 t. 14/99 Four letters picked without replacement from {k: 5, d: 9}. Give prob of picking 4 d. 18/143 Two letters picked without replacement from orrjjdjdrddd. Give prob of picking 1 d and 1 o. 5/66 Calculate prob of picking 1 b and 3 e when four letters picked without replacement from btteebbbetbtb. 6/715 Calculate prob of picking 1 h, 1 s, and 1 t when three letters picked without replacement from {h: 4, j: 1, m: 1, t: 1, s: 1}. 1/14 What is prob of picking 1 j and 1 p when two letters picked without replacement from {j: 7, p: 1}? 1/4 Two letters picked without replacement from {y: 1, x: 1, f: 1, g: 5, i: 6, b: 2}. Give prob of picking 1 b and 1 f. 1/60 Calculate prob of picking 2 p when two letters picked without replacement from cpttcppgpvtu. 1/11 Four letters picked without replacement from ppxqxxmxpxqppxpxpx. What is prob of picking 2 x, 1 m, and 1 q? 14/765 Two letters picked without replacement from eeeyerrr. Give prob of picking 2 e. 3/14 Two letters picked without replacement from yoyoooyoyoooy. What is prob of picking 1 y and 1 o? 20/39 Two letters picked without replacement from {d: 2, s: 2, b: 2, r: 1, j: 1, z: 1}. What is prob of picking 1 z and 1 j? 1/36 Three letters picked without replacement from {q: 2, e: 3, x: 5, g: 8, c: 2}. What is prob of picking 1 g, 1 c, and 1 q? 8/285 Three letters picked without replacement from {x: 1, e: 2, p: 1, l: 1}. Give prob of picking 1 e, 1 p, and 1 l. 1/5 What is prob of picking 1 x and 2 w when three letters picked without replacement from {p: 1, l: 3, h: 5, w: 2, i: 6, x: 2}? 2/969 Calculate prob of picking 4 g when four letters picked without replacement from gqqgqqqggqqgqgggqgg. 35/646 Calculate prob of picking 2 z when two letters picked without replacement from kkkzkkzzkkkkkkzkzkkk. 1/19 Four letters picked without replacement from {e: 10, o: 4, m: 4, l: 2}. What is prob of picking 1 o and 3 m? 16/4845 Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {b: 1, w: 2, y: 1, t: 3, l: 3, j: 5}. 3/35 Calculate prob of picking 1 m, 1 f, and 2 i when four letters picked without replacement from iimifmhiihhfmhi. 6/91 Three letters picked without replacement from mdmdmmdm. What is prob of picking 3 m? 5/28 Four letters picked without replacement from hcsdjhhcdyc. Give prob of picking 2 h, 1 s, and 1 d. 1/55 Calculate prob of picking 3 p and 1 f when four letters picked without replacement from ffffpfffpffpff. 1/91 What is prob of picking 1 v and 1 r when two letters picked without replacement from {v: 1, l: 3, o: 6, r: 1, f: 2, w: 2}? 1/105 What is prob of picking 3 a and 1 t when four letters picked without replacement from tattattatttttt? 1/91 Calculate prob of picking 2 y and 1 c when three letters picked without replacement from {c: 2, y: 8}. 7/15 Four letters picked without replacement from {b: 1, j: 4, w: 1, a: 4, g: 1}. Give prob of picking 3 a and 1 b. 2/165 Three letters picked without replacement from {k: 6, n: 1, v: 10, d: 2, l: 1}. What is prob of picking 1 n and 2 k? 1/76 What is prob of picking 2 r when two letters picked without replacement from mmmrmmmrmmmmmmmmmmm? 1/171 What is prob of picking 3 s when three letters picked without replacement from {y: 3, s: 15}? 455/816 What is prob of picking 1 m and 1 e when two letters picked without replacement from seaaaeoeaoaom? 1/26 Two letters picked without replacement from {u: 2, s: 2, n: 1}. What is prob of picking 2 u? 1/10 Four letters picked without replacement from {q: 3, r: 7}. Give prob of picking 4 r. 1/6 Two letters picked without replacement from {k: 2, l: 3, x: 7, w: 5}. What is prob of picking 2 x? 21/136 Calculate prob of picking 1 l, 2 d, and 1 x when four letters picked without replacement from {l: 7, d: 2, x: 6}. 2/65 Three letters picked without replacement from rururfjfucfujucu. Give prob of picking 3 f. 1/560 Four letters picked without replacement from qqqqqqfqqqqqqqq. What is prob of picking 3 q and 1 f? 4/15 Calculate prob of picking 4 y when four letters picked without replacement from syyssybbybyyyyyysyb. 55/646 Four letters picked without replacement from {z: 8, k: 8, u: 2}. What is prob of picking 1 u, 2 z, and 1 k? 112/765 Calculate prob of picking 2 o and 1 b when three letters picked without replacement from yeobhxe. 0 Calculate prob of picking 2 i and 1 p when three letters picked without replacement from {i: 4, p: 5, k: 3}. 3/22 What is prob of picking 1 q and 1 m when two letters picked without replacement from zqqnnmnnn? 1/18 Three letters picked without replacement from udiirujy. Give prob of picking 1 i, 1 j, and 1 d. 1/28 Two letters picked without replacement from {z: 8, k: 5, x: 3}. What is prob of picking 2 z? 7/30 Two letters picked without replacement from yoyoaaoaoylo. Give prob of picking 1 o and 1 l. 5/66 Two letters picked without replacement from ztxx. What is prob of picking 2 x? 1/6 Two letters picked without replacement from {r: 3, o: 6, v: 2, h: 4}. What is prob of picking 2 h? 2/35 Three letters picked without replacement from {v: 5, i: 3, z: 1, b: 1, x: 1}. What is prob of picking 1 b, 1 v, and 1 z? 1/33 Three letters picked without replacement from xxexuxdedxxeekxex. What is prob of picking 2 x and 1 d? 7/85 Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {k: 1, p: 1, g: 1, v: 1, s: 5}. 1/36 Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {y: 1, w: 2, p: 1, d: 3}. 2/21 Calculate prob of picking 2 m when two letters picked without replacement from mmddodmmm. 5/18 What is prob of picking 2 u and 1 k when three letters picked without replacement from xxukxxxxuxxxuxx? 3/455 Calculate prob of picking 2 u when two letters picked without replacement from uvvvueeve. 1/36 Calculate prob of picking 1 p and 1 s when two letters picked without replacement from sppsss. 8/15 Four letters picked without replacement from qqeimqsemqsmss. Give prob of picking 1 s and 3 q. 16/1001 Three letters picked without replacement from {e: 2, j: 6}. What is prob of picking 3 j? 5/14 Two letters picked without replacement from {d: 1, a: 3, k: 3, t: 2, c: 1}. Give prob of picking 1 a and 1 d. 1/15 Three letters picked without replacement from xsxxqqxsxxxqxxqxxs. Give prob of picking 2 q and 1 x. 11/136 Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {g: 4, a: 2}. 8/15 What is prob of picking 1 a and 2 r when three letters picked without replacement from {r: 3, a: 12}? 36/455 What is prob of picking 1 a and 1 y when tw
{ "pile_set_name": "DM Mathematics" }
-1? -1 Which is smaller: 978 or 1953/2? 1953/2 Does -879 = -878? False Are 1557 and 1562 nonequal? True Is -21 equal to -18? False Is 18994 greater than 18992? True Is -1 not equal to -8/663? True Which is smaller: 14 or 196/13? 14 Is 197 >= 198? False Is -0.2 at least as big as -0.1176? False Is -0.1 less than 0.03918? True Is -1/1326 smaller than -1? False Does 3/377 = -1? False Which is smaller: 14/5 or 2.7? 2.7 Which is greater: 1167 or 12834/11? 1167 Which is smaller: -1/2931 or 0? -1/2931 Is -425 at most 2? True Is 479 at most 3363/7? True Is -5446 not equal to -5448? True Which is greater: -2/3 or 45? 45 Is 58 >= 455/8? True Which is smaller: -564/11 or -51? -564/11 Is 40 <= -273? False Which is greater: 1 or -2/111? 1 Is -1 less than -163? False Is 0.5 less than 0.032? False Which is bigger: -13 or -37/3? -37/3 Is -1966/11 at least -180? True Is -6994 less than -2? True Are 0 and 5/3372 unequal? True Which is greater: 15 or 484/31? 484/31 Are 1289 and 1296 equal? False Which is smaller: -1 or -3/797? -1 Does -385 = -386? False Which is smaller: 31/111 or 0? 0 Which is smaller: 30/7 or 0? 0 Is -30 equal to -8? False Which is bigger: 443 or 444? 444 Is -7549 < -1? True Which is greater: 12 or 105? 105 Which is bigger: 34 or 32? 34 Which is bigger: 849 or 5952/7? 5952/7 Which is bigger: 12 or 14? 14 Is 0 smaller than -16.5? False Which is bigger: -8 or -64/7? -8 Is -39656 bigger than -39657? True Which is greater: 0 or 1/22697? 1/22697 Is -977/4 smaller than -244? True Is -33 > -131? True Is 16096 > 16096? False Is -4244 smaller than -4243? True Is 322 greater than 317? True Which is smaller: -1/11 or 878? -1/11 Which is bigger: 1 or 2/2211? 1 Do -31.6 and -1/5 have the same value? False Are 1 and 2/21547 equal? False Which is bigger: 43/8 or 6? 6 Which is greater: 2 or 23/40? 2 Is 2/465 greater than 0? True Which is bigger: -10132 or -10133? -10132 Which is greater: -190 or 0.1? 0.1 Is -28 greater than -188/7? False Which is smaller: -17/4 or -3? -17/4 Which is smaller: -865 or -867? -867 Which is greater: 0 or 0.14734? 0.14734 Which is bigger: 1 or -2/9025? 1 Does -620 = -600? False Is 1211 at least 1211? True Which is bigger: 3246 or 3245? 3246 Does 984 = 1/7? False Is -3 less than -39? False Which is bigger: -49 or -52? -49 Are -7 and -18 non-equal? True Is 299/7 greater than or equal to 44? False Is 1 != 30/949? True Is -74 < -75? False Which is smaller: -229 or 9? -229 Is -27828 less than -0.1? True Which is smaller: 1 or -2442? -2442 Which is greater: 4/2199 or 0? 4/2199 Is -2 greater than or equal to 1110? False Is 27 != -17? True Is -2053 bigger than -2052? False Is -1 < 3497? True Is 871 smaller than 870? False Which is smaller: 16/7 or 1288? 16/7 Which is smaller: 5/3067 or 1? 5/3067 Which is smaller: -3297/5 or -660? -660 Is 124 < 497/4? True Which is smaller: -4 or 2/1871? -4 Which is bigger: 8 or 76/11? 8 Which is greater: -40 or -45? -40 Which is greater: 3.96 or -1? 3.96 Is 5 != -65? True Which is smaller: 2223 or 2219? 2219 Is 10658 at most 10658? True Which is smaller: 1 or 148? 1 Is -7 equal to -33? False Is -139 >= 1? False Which is smaller: -2/3299 or 1? -2/3299 Are 0.75 and 9 non-equal? True Which is bigger: -147 or -585/4? -585/4 Which is greater: -232 or 0.6? 0.6 Which is bigger: 0.6 or -12? 0.6 Which is smaller: -40 or -41? -41 Which is smaller: 13/119 or 1? 13/119 Which is greater: -75/2 or -39? -75/2 Is 9563 greater than 9564? False Which is bigger: -5344 or -5348? -5344 Which is greater: -6/5 or -1/221? -1/221 Is 0.06 equal to 40.7? False Is 5539 smaller than 5541? True Which is smaller: 10 or 46? 10 Is 129 > 127? True Is 1535/4 >= 383? True Are -108 and 10 non-equal? True Are 141 and 119 non-equal? True Which is greater: -613/16 or -38? -38 Is -55 at most -55? True Is 489 <= 490? True Which is bigger: -131 or -134? -131 Is -1 != -1? False Which is smaller: 0 or -704/17? -704/17 Which is smaller: 71 or 72? 71 Which is bigger: 2 or 49/47? 2 Which is smaller: -206 or -212? -212 Is 1 > 2/5? True Is -673/3 at least -224? False Which is bigger: 1792/9 or 198? 1792/9 Which is smaller: -28 or 223? -28 Is 957/34 < 28? False Is 10453 < 10453? False Which is greater: 0.021 or 2/17? 2/17 Which is smaller: -49 or -1/555? -49 Is 536/17 at most as big as 31? False Is -1899/5 at most as big as -379? True Is 398 bigger than -2/5? True Is 131 >= 143? False Which is bigger: 1/62 or -6/13? 1/62 Which is greater: -59/8 or -6? -6 Is -0.19 less than 71? True Are 52 and 53 equal? False Do 2 and 346 have the same value? False Which is smaller: -1 or -5/446? -1 Is -49/13 <= -14? False Which is bigger: 12/31 or 1? 1 Which is bigger: -1/717 or 1? 1 Are -17 and -16 equal? False Is -7/5 bigger than 4/5? False Which is greater: -351 or -1409/4? -351 Is -1 greater than -5/988? False Which is greater: -3/1189 or 0? 0 Are -4/37 and 1 unequal? True Which is smaller: 7 or 730? 7 Is 0 < -1/1374? False Is 1616 at most -0.1? False Which is smaller: 34 or 40? 34 Do -201 and -202 have the same value? False Which is bigger: -20853 or -20854? -20853 Which is greater: 119/3 or 40? 40 Which is smaller: -4 or -14? -14 Is 1/35420 != 1? True Is 1 smaller than -2999? False Is 1/3 > -5.44? True Is 2 equal to 10.2? False Which is greater: -0.1 or 1532? 1532 Which is smaller: -2 or 4903? -2 Which is greater: -1 or -1049/4? -1 Is -1632 <= 0.4? True Is 22/21 at least as big as 2? False Do 10/201 and 0 have the same value? False Are -1/1339 and -1 nonequal? True Is -208 smaller than -209? False Which is smaller: -5 or -483/5? -483/5 Which is smaller: -1104 or -1105? -1105 Which is smaller: 0 or 11/133? 0 Which is bigger: 4/11 or -10/17? 4/11 Is 2 at least as big as 291? False Which is bigger: -6/35 or 0? 0 Are 1/738 and -37 equal? False Are 24 and 220/9 non-equal? True Is 13/3 less than or equal to 3? False Do -85 and -42 have the same value? False Which is smaller: -49 or -43? -49 Which is smaller: 2 or 7/397? 7/397 Is 12/785 greater than 0? True Which is smaller: 0.1 or 4670? 0.1 Is -29371 greater than -1? False Is -1971 at most -1979? False Is 74492 at least 74491? True Is -1 less than -23? False Is 19 < -12? False Do 1084 and 8 have the same value? False Is 1853 != 1853? False Is -89 > -88? False Is -0.688 < 0? True Which is greater: -60/31 or -1? -1 Which is smaller: -390 or 2/7? -390 Is 13/541 at most -1? False Which is bigger: 0 or -5/416? 0 Which is greater: 1/2158 or -1? 1/2158 Which is greater: -5 or 11/8? 11/8 Which is greater: -19 or -55? -19 Is 2 at most as big as -418.8? False Is 90 not equal to 91? True Which is smaller: 4878 or 4880? 4878 Is -222/5 > -44? False Which is smaller: 1/4 or 1/1277? 1/1277 Do 2 and 1726 have the same value? False Is -1076 greater than or equal to -7? False Which is greater: 166 or 167? 167 Is -4/165 >= 0? False Which is smaller: -2/153 or 21? -2/153 Is 2 < 26/21? False Is 0 <= -1/130? False Is 95 < 1610/17? False Which is bigger: -1 or -14/65? -14/65 Is -2/3 not equal to -177? True Is -0.1 at least as big as 691? False Do 1 and -1/680 have the same value? False Which is bigger: 7/1614 or -1? 7/1614 Which is smaller: 1 or -1/39976? -1/39976 Which is smaller: -2/2479 or 0? -2/2479 Do -14 and -6 have different values? True Is 41 equal to 40? False Which is bigger: 1/3 or -369? 1/3 Is 882 > 891? False Which is smaller: -166 or -164? -166 Is 1/2069 greater than or equal to -1? True Which is smaller: -10/99 or 1? -10/99 Which is smaller: 791 or 8696/11? 8696/11 Are 0 and 653 unequal? True Which is greater: 1/145 or -1? 1/145 Which is smaller: 0.1 or 0.05231? 0.05231 Is 1226/9 less than or equal to 135? False Is -2/17 at least as big as -1? True Which is greater: -584 or -581? -581 Is 4 at most as big as -13.2? False Which is bigger: -2 or 0.21? 0.21 Which is greater: -11 or -12? -11 Which is smaller: -13 or -15? -15 Which is bigger: -0.1 or -4858? -0.1 Which is smaller: 54 or 272/5? 54 Is 216 not equal to 647/3? True Is -66 greater than or equal to -71? True Which is bigger: 0 or 15/587? 15/587 Which is greater: 417 or 416? 417 Which is bigger: 4/329 or -1? 4/329 Which is bigger: 716 or -1.3? 716 Which is bigger: 3/92 or -1? 3/92 Which is bigger: -14 or 11? 11 Which is greater: 0.048 or -43/13? 0.048 Is -1 at least as bi
{ "pile_set_name": "DM Mathematics" }
2 - -1. Sort m, v, c in decreasing order. c, m, v Let y = 28.56 + -28. Let n be (-3)/((-59)/236 - (-4 + (-12)/(-4))). Put 0.5, 3/5, n, y in increasing order. n, 0.5, y, 3/5 Suppose -2 + 5 = -3*g. Let b = 5.001 - 4.001. Put b, -1/3, -1.1, g in descending order. b, -1/3, g, -1.1 Let q = 5/7533 - 23399/1205280. Put q, -1, 2, 1/5, -2 in increasing order. -2, -1, q, 1/5, 2 Suppose l = -4*l + 10. Let d(n) = -2*n**2 + 61*n + 314. Let y be d(35). Sort y, -3, l, 0 in ascending order. -3, y, 0, l Let j(n) = 204*n + 5727. Let p be j(-28). Put -2.7, -2/7, p in decreasing order. p, -2/7, -2.7 Suppose -20 = f - 5*v, -2*f - 4*v = -3*f - 18. Let g be -6*5/f + -1. Put -1, 3, g, -4 in decreasing order. 3, g, -1, -4 Suppose -4*j + 0*v + 26 = -5*v, -5*v - 10 = 0. Let z be (-22)/j - 4/(-3 + 2). Sort z, 2, -0.04, 0.5 in descending order. 2, 0.5, -0.04, z Let r be ((-272)/(-20))/(3/90). Let l = 412 - r. Sort 1, 13, l, -3. -3, 1, l, 13 Suppose -x + 4*b = 22, -4*b - 2 = x + 12. Suppose -t + 4*v + 16 = 3*t, -4*v = -t + 16. Sort -3, 1, x, t in ascending order. x, -3, t, 1 Suppose -159 = 3*w - 6*w. Suppose c + 62 - w = 0. Let o be ((-5)/(-3))/((-3)/9). Sort c, 2, o. c, o, 2 Suppose 0 = -v - 0*v + a + 2, -5*a = -4*v + 7. Suppose 3*y = -v, -3*d + 5*y - 8 = 5. Put -5, d, -2 in descending order. -2, -5, d Suppose -4*r - 2 = 14. Let z = -3 - r. Suppose -77*j + 75*j + x + 30 = 0, 4*x + 30 = 2*j. Put z, 0.1, 2, j in descending order. j, 2, z, 0.1 Let i = -2105 - -2127.13. Let s = i - -0.87. Let d = -19 + s. Sort d, -1.1, 5 in descending order. 5, d, -1.1 Suppose 0 = 59*m - 51*m - 200. Sort m, -4, 0, -3 in descending order. m, 0, -3, -4 Let h be ((-36)/16)/(-9)*(32/14)/((-17)/(-119)). Let d(m) be the first derivative of m**3/3 - 3*m**2/2 - m - 1. Let w be d(2). Put w, 12, h in increasing order. w, h, 12 Suppose -2*s + 5*s = 0. Let f(o) = o**3 - 3*o**2 - 11*o - 1. Let x be 86/18 + 40/180. Let h be f(x). Put -5, 5, h, s in ascending order. h, -5, s, 5 Let i be -6 - (2/(-4) - 15/6). Let b be (-4 - i)/(3/(-6)). Let r be 15/5*1 + 1. Put b, r, -4 in increasing order. -4, b, r Let i = -125.9 + 92. Let v = i + 34. Let k = 0.8 + -1. Sort v, k, -5/2. -5/2, k, v Let l = 70/3 - 212/9. Let k be 6498/(-684) - (-10 - 1). Put 11, l, k, -0.1 in descending order. 11, k, -0.1, l Let g = -173 - -175. Let c = 64.09 - 63. Let z = -0.09 + c. Sort -0.04, z, g. -0.04, z, g Suppose -16*n + 1160 = 13*n. Let i be (-1)/(-6)*n/50. Let m be (-2)/(-44)*16/4. Sort 0.4, m, i in ascending order. i, m, 0.4 Suppose 0 = -m + 303 + 689. Suppose 0 = 4*k + 3*b - 5*b + m, 5*k - b + 1234 = 0. Let d be (-3 - k/78) + (-10)/(-104). Put d, -4/11, 0.2 in ascending order. -4/11, 0.2, d Let j = -12846 - -12947. Sort j, 6, 5, 0.1 in descending order. j, 6, 5, 0.1 Suppose -f + 866 = 3*n + 227, 0 = 5*n + 4*f - 1072. Let x = n + -217. Put -13, x, -3 in decreasing order. -3, x, -13 Let r = -0.01005 + 1.01005. Sort r, -1/2, 280, -2 in decreasing order. 280, r, -1/2, -2 Let z(u) = -3*u**2 - 65*u - 42. Let g be z(-21). Suppose -7*i = -14*i - 21. Put g, i, 26 in ascending order. i, g, 26 Let i(s) = -14*s**2 + 1443*s - 99. Let g be i(103). Sort g, 5708, 1 in increasing order. 1, g, 5708 Let h = -1215 - -1304. Put 0, -3, h, -5 in decreasing order. h, 0, -3, -5 Suppose -5*o + 11 = 4*q, q + q + 14 = 4*o. Suppose 2*a + 114 = 3*p, 3*a = -0*a - 9. Suppose p*u + 74 = -u. Sort 0, o, u, 4 in increasing order. u, 0, o, 4 Let v = 1.28 + -0.28. Suppose -15*j + 112 = -19*j. Let m be j/(-70) - (-33)/(-20). Sort m, -3, v. -3, m, v Let k = -40051 + 40053. Let x = 0.25 - -0.05. Sort x, -19/2, -3, k in decreasing order. k, x, -3, -19/2 Let n = -592.1 + 643. Let m = 52.9 - n. Sort m, 3, -39, -1/4 in decreasing order. 3, m, -1/4, -39 Let b = -6267 + 6323. Put 3/4, 0, b in decreasing order. b, 3/4, 0 Let y = 0.03 - -177.97. Let i = y - 176.2. Let r = -157/1128 - -2/141. Put r, -2/13, i in descending order. i, r, -2/13 Let f be 6/9 + (-694)/(-3). Suppose -4*l = 2*s - 0*s - f, 0 = -3*l + 6. Let n be (-1)/(-2)*64/s. Sort -2/7, 0.2, n in decreasing order. n, 0.2, -2/7 Let q be (-11 - (2 + 1))*(-1)/(-2). Let k(t) = -5*t - 35. Let c be k(q). Sort c, 2, -14 in descending order. 2, c, -14 Let d be -14 + (-846)/(-45) + -5. Sort -16, d, 12 in decreasing order. 12, d, -16 Let h be (-2)/(-5) + (-13)/(-5). Let y(b) = -b**2 - 9*b - 10. Let g be y(-8). Let j = -2175 - -2179. Sort 0, h, g, j in decreasing order. j, h, 0, g Let n be ((-193)/(-965))/((-4)/(-12) - 2/60). Sort -4, n, 0.03, 2/7 in descending order. n, 2/7, 0.03, -4 Let n = -1188 - -1190. Suppose -a - 1 = -0*a. Sort -4, 5, n, a. -4, a, n, 5 Let i(o) = 6*o + 30. Let a be i(-5). Suppose -5*k + 10*k - 25 = a. Suppose 5*m + 6 = -k*j - 4, 0 = 2*j - 6. Sort 3, 0, m, 1 in increasing order. m, 0, 1, 3 Let y(j) = j**3 - 4*j + 10*j + 0 + 5 + j - 8*j**2. Let z be y(7). Let a be (9/135)/((-1)/(-15)). Put 3, z, a in descending order. z, 3, a Let a = 1.2 + -1. Let v = -26 + 24.9. Let c = 0.0217 - 1.0217. Sort v, c, a. v, c, a Suppose 0 = -4*u + 2*v + 32, 3*u - 3*v = 11 + 22. Put 24, -10, u, 4 in increasing order. -10, 4, u, 24 Let y = 27 + -26.7. Suppose 80 + 117 = -m - 5*q, -m + q - 209 = 0. Let b = -1038/5 - m. Put -2/5, b, y in decreasing order. y, -2/5, b Let t be 232/(-72) + (-304)/171 + (-1 - -3). Put t, -5, -296 in ascending order. -296, -5, t Let k(x) = x**2 - 40*x + 38. Let a be k(39). Let f(h) = 50*h + 48. Let l be f(a). Put -0.14, l, -4/5 in decreasing order. -0.14, -4/5, l Let p(r) = 26*r - 312. Let b be p(12). Sort -5, -80, 2, b. -80, -5, b, 2 Let l(a) = a - 53. Suppose -2*n - 32 = 12. Let q be l(n). Let x = q - -82. Sort 3, -2, x, -4 in decreasing order. x, 3, -2, -4 Suppose 71 + 848 = -278*x - 471. Let i = 3 + 8. Put -3, x, i in descending order. i, -3, x Let p = -22.51 - -22.21. Sort p, -2/13, 136 in increasing order. p, -2/13, 136 Let g = -1153 - -1064. Sort 5, 1, g, -4 in decreasing order. 5, 1, -4, g Let r = -135 - -140. Let f = 44 - 51. Sort r, f, 0, -2/3. f, -2/3, 0, r Let v be (-1 - 2)*(-1 + 0). Suppose 332*u = 333*u - 8, -5*b = 5*u - 45. Suppose 0 = 4*m - 0*m + 5*x + 9, -4 = 4*x. Sort v, m, b. m, b, v Let c be (10 - (-57)/(-6))*(-2)/((-3)/(-3)). Put c, -4, 68, 3 in increasing order. -4, c, 3, 68 Suppose -639*y + 9372 = -285*y - 321*y. Put -1, 4, 3, y in increasing order. -1, 3, 4, y Let b = 497.13 + -495. Let g = -10.77 - b. Sort g, 4, -5. g, -5, 4 Let u = -6204 - -6209. Sort 2, -81, u in ascending order. -81, 2, u Let p = -1.46 - -4.12. Let h = 2.36 - p. Let a = 4 + -3. Put -0.8, a, h, -4 in decreasing order. a, h, -0.8, -4 Let o = 20 + -5. Let s = o - 14.7. Let v = -1084 + 1088. Put 0.5, v, s, 3 in decreasing order. v, 3, 0.5, s Let d be 110/(8 + -19) - -8. Sort d, -9, 31, 5. -9, d, 5, 31 Let o = 3.02 - 0.02. Let v = -78869/13 + 6067. Sort v, o, 4, 0.1 in descending order. 4, o, v, 0.1 Let t be 11/12 + 3/(-12). Let i be 15/30 + 2/(-6). Let d = 5.073 - 13.073. Put t, d, i in descending order. t, i, d Suppose 0 = 5*g - 3*t + 5, 3*g + 5*t = 7*t - 3. Let s be (-8 - -2 - -7)*(4 - g). Put -2, 1/8, 2/5, s in increasing order. -2, 1/8, 2/5, s Let u = 262.9 - 262.9. Sort -0.4, 0.1, 4/3, u in increasing order. -0.4, u, 0.1, 4/3 Let r = 7020/19 + -63218/171. Put -0.46, -4, 2/5, r, 1/6 in decreasing order. 2/5, 1/6, r, -0.46, -4 Let m = -3.16 + 4.7. Let p = m - -1.46. Let q = -39 + 38.6. Put 0.3, q, p in descending order. p, 0.3, q Let y be 2/(-10)*(-1 - 2). Let r = -2039 - -3056. Let h = r - 1016. Sort y, -4, -1, h. -4, -1, y, h Let j = -194 + 190. Let r = 225 + -261. Put j, r, -0.5 in descending order. -0.5, j, r Let z = 0.02 - 0.92. Let h be 2/14 - (-30)/(-14) - 1615/(-969). Let g = -127/3 - -41. Put -4, g, z, h in ascending order. -4, g, z, h Let w = 3.7 + -2.1. Let j = w - 0.56. Let f = -0.74 + j. Sort f, 1, 6, -1 in descending order. 6, 1, f, -1 Let j(t) = -t - 14. Let o be j(8). Suppose 0 = b + b - i + 8, 5*i - 19 = 3*b. Let p = -2 - -2. Put p, b, o in ascending order. o, b, p Let r be -18 - (31 + -12 + -36). Put -2, 17, -4, 1, r in decreasing order. 17, 1, r, -2, -4 Let g = -924 + 747. Let u = g - -155. Let b = -1 - -1. Sort 1/4, -5, b, u. u, -5, b, 1/4 Let k = -476 + 476.04. Let v = -0.09 + 0.25. Let b = v + 0.04. Sort b, k, -2 in decreasing order. b, k, -2 Suppose 58*h - 45*h = 195. Sort -2, 4, h in
{ "pile_set_name": "DM Mathematics" }
+ 867*s - 1170 = 0 for s. -39, -3, 1, 10 Suppose y**3/3 + 250076*y**2/3 + 250075*y/3 = 0. What is y? -250075, -1, 0 Factor 2*s**2 + 4802*s + 156288. 2*(s + 33)*(s + 2368) Factor -2*o**3/9 - 2282*o**2/9 - 654350*o/9 - 647522/3. -2*(o + 3)*(o + 569)**2/9 Suppose -4*i**4 + 2468*i**3 + 4984*i**2 - 19808*i = 0. What is i? -4, 0, 2, 619 Determine a so that -a**5 - 248*a**4 - 734*a**3 + 248*a**2 + 735*a = 0. -245, -3, -1, 0, 1 Let 12*j**3/5 + 50666*j**2/5 + 53484296*j/5 + 8912642/5 = 0. What is j? -2111, -1/6 Find x, given that -10*x**3/3 + 8924*x**2/3 + 4766*x + 1788 = 0. -1, -3/5, 894 Let 4*l**2/7 - 768704*l + 258521304832 = 0. Calculate l. 672616 Solve 5*p**2 + 9800*p + 19580 = 0. -1958, -2 Suppose -t**5/2 + 73*t**4/2 + 941*t**3/2 - 7701*t**2/2 - 60804*t - 161352 = 0. Calculate t. -9, -4, 12, 83 Suppose 2*b**2/17 + 3618*b/17 + 64476/17 = 0. What is b? -1791, -18 Let -3*c**5 - 7515*c**4 - 89781*c**3 - 82269*c**2 = 0. Calculate c. -2493, -11, -1, 0 Solve -3*i**2 + 3912*i - 364509 = 0. 101, 1203 Suppose -38*u**3/9 - 23518*u**2/9 + 49672*u/9 - 552 = 0. Calculate u. -621, 2/19, 2 Factor -3*u**3/4 + 249999*u**2/2 + 1500075*u + 4500306. -3*(u - 166678)*(u + 6)**2/4 Factor -h**3/7 - 1454*h**2/7 + 16115*h/7. -h*(h - 11)*(h + 1465)/7 Determine o, given that 4*o**3 + 12796*o**2 + 10252768*o + 30643248 = 0. -1598, -3 Factor 3*f**2 + 4551*f. 3*f*(f + 1517) Factor -19*v**3/3 + 2626*v**2/3 - 30337*v + 6348. -(v - 69)**2*(19*v - 4)/3 Suppose -22*t**2 + 1720*t - 312 = 0. Calculate t. 2/11, 78 Factor -2*i**2/3 - 20552*i/3 - 6850. -2*(i + 1)*(i + 10275)/3 Find u, given that u**5 - 18*u**4 - 67*u**3 + 84*u**2 = 0. -4, 0, 1, 21 Suppose 4*o**5/9 - 928*o**4/9 - 2216*o**3/3 - 10496*o**2/9 - 4780*o/9 = 0. Calculate o. -5, -1, 0, 239 Factor -2*q**4 - 32*q**3 + 446*q**2 + 4004*q. -2*q*(q - 13)*(q + 7)*(q + 22) Factor y**4/6 + 21*y**3/2 - 329*y**2/3 - 120*y. y*(y - 10)*(y + 1)*(y + 72)/6 Determine u so that u**4/3 - 304046*u**3/9 + 506737*u**2/9 - 202694*u/9 = 0. 0, 2/3, 1, 101347 Determine p, given that 5*p**5 + 680*p**4 + 30465*p**3 + 491490*p**2 + 2298780*p + 1837080 = 0. -54, -21, -6, -1 Factor -2*t**3/5 + 171986*t**2/5. -2*t**2*(t - 85993)/5 Solve 4*g**5/13 - 454*g**4/13 + 12742*g**3/13 + 9474*g**2/13 - 85842*g/13 + 38988/13 = 0 for g. -3, 1/2, 2, 57 Find i such that 2*i**4/5 - 93*i**3/5 + 296*i**2/5 + 219*i/5 - 172/5 = 0. -1, 1/2, 4, 43 Factor -x**3 - 33585*x**2 - 282139128*x - 2536532496. -(x + 9)*(x + 16788)**2 Factor -2*m**4/21 - 12440*m**3/21 - 19269416*m**2/21 + 77526080*m/7 - 233026944/7. -2*(m - 6)**2*(m + 3116)**2/21 Factor 4*w**2 + 4712*w + 4708. 4*(w + 1)*(w + 1177) Find z, given that -z**5 + 449*z**4 - 51069*z**3 + 150079*z**2 - 99458*z = 0. 0, 1, 2, 223 Find i such that -2*i**3 - 1534*i**2 - 317822*i - 8889474 = 0. -367, -33 What is c in 5*c**5 + 120*c**4 + 570*c**3 - 2080*c**2 - 2535*c = 0? -13, -1, 0, 3 Factor -57*b**2/2 - 119185*b/2 + 2091. -(b + 2091)*(57*b - 2)/2 Determine w so that 20*w**4 + 11445*w**3 - 148775*w**2 + 233835*w - 96525 = 0. -585, 3/4, 1, 11 What is k in -3*k**5 + 4614*k**4 + 51126*k**3 - 13836*k**2 - 162579*k - 102234 = 0? -11, -1, 2, 1549 Find p such that p**3 - 727*p**2 + 5767*p - 10785 = 0. 3, 5, 719 Factor -4*w**3 - 520*w**2 - 6252*w - 19656. -4*(w + 6)*(w + 7)*(w + 117) Find k, given that 5*k**5 - 267*k**4 - 5424*k**3 - 26648*k**2 - 26256*k + 15120 = 0. -9, -6, -2, 2/5, 70 Determine o, given that o**2/6 + 1051*o/3 - 701/2 = 0. -2103, 1 Factor -3645810045*k**2 + 14041560*k - 13520. -5*(27003*k - 52)**2 Solve 18*k**4 - 1554*k**3 + 7081*k**2/2 - 1051*k + 84 = 0. 1/6, 2, 84 Find j, given that -j**2 - 18192*j - 18191 = 0. -18191, -1 Factor 3*t**4 + 5448*t**3 - 32772*t**2 + 43728*t. 3*t*(t - 4)*(t - 2)*(t + 1822) Factor 5*t**2 - 1716560*t + 147328911680. 5*(t - 171656)**2 Suppose 42*q**4/5 + 537646*q**3/5 + 1720908804*q**2/5 + 376842240*q + 32768000 = 0. Calculate q. -6400, -1, -2/21 Factor -v**2/11 - 3090*v/11 + 6184/11. -(v - 2)*(v + 3092)/11 Let -98*i**5/5 - 6202*i**4 + 48908*i**3/5 - 20344*i**2/5 + 2544*i/5 = 0. Calculate i. -318, 0, 2/7, 1 Factor 2*i**2/5 - 1006*i/5 + 15876. 2*(i - 405)*(i - 98)/5 Find a, given that -2*a**3/11 + 658*a**2/11 - 8188*a/11 - 8848/11 = 0. -1, 14, 316 Determine g, given that g**4/2 - 461*g**3/2 + 2259*g**2 - 1772*g - 14432 = 0. -2, 4, 8, 451 Suppose 2*g**3/5 - 34*g**2/5 + 184*g/5 - 64 = 0. Calculate g. 4, 5, 8 Factor 5*g**4 + 200*g**3 + 985*g**2 - 1190*g. 5*g*(g - 1)*(g + 7)*(g + 34) Let 2*c**2/3 - 49276*c = 0. What is c? 0, 73914 Solve -5*n**3 + 345*n**2 + 725*n - 1065 = 0. -3, 1, 71 Factor 5115975*k**2/8 + 255795*k - 3/2. 3*(5*k + 2)*(341065*k - 2)/8 Find z such that 5*z**5/4 + 105*z**4/2 + 380*z**3 + 555*z**2/2 - 1525*z/4 - 330 = 0. -33, -8, -1, 1 Factor -t**5 - 523*t**4 - 11143*t**3 - 60621*t**2. -t**2*(t + 11)**2*(t + 501) Let -2*f**4/9 - 32*f**3/9 + 98*f**2/9 + 968*f/9 - 680/3 = 0. Calculate f. -17, -6, 2, 5 Suppose -4*i**4/7 - 161792*i**3/7 - 69336*i**2 - 485344*i/7 - 161780/7 = 0. What is i? -40445, -1 Determine n, given that 84*n**5 + 2354*n**4/3 + 4250*n**3/3 + 240*n**2 - 872*n/3 - 224/3 = 0. -7, -2, -1/2, -2/7, 4/9 What is t in -5*t**4 + 1615*t**3 - 150815*t**2 + 3174465*t - 3025260 = 0? 1, 28, 147 Factor 3*d**2 - 5706*d - 298809. 3*(d - 1953)*(d + 51) Determine z so that -4*z**5 - 1676*z**4 + 6792*z**3 + 10136*z**2 - 6788*z - 8460 = 0. -423, -1, 1, 5 Factor 8*a**3 + 1052516*a**2 + 34618698448*a + 17309086096. 4*(a + 65782)**2*(2*a + 1) Let 20*n**5 + 305*n**4 - 3495*n**3 - 12115*n**2 - 12625*n - 4290 = 0. What is n? -22, -1, 39/4 Find m such that 2*m**2 - 3280*m/3 - 6584/3 = 0. -2, 1646/3 Let -5*u**2 - 88850*u - 394716125 = 0. What is u? -8885 Factor -2*v**2/15 - 4032*v/5 - 24184/15. -2*(v + 2)*(v + 6046)/15 Determine d, given that d**2 + 588*d + 47232 = 0. -492, -96 Factor -2*u**3/7 + 179556*u**2/7. -2*u**2*(u - 89778)/7 Solve -4*t**2 - 257392*t - 4140665104 = 0 for t. -32174 Factor -3*x**2 + 2380644*x. -3*x*(x - 793548) Factor 5*j**2 + 41420*j - 2209305. 5*(j - 53)*(j + 8337) Find c, given that -4*c**4/9 - 1668*c**3 - 5000*c**2 + 16*c/9 + 20000/3 = 0. -3750, -2, 1 Suppose 4*n**2 - 52028*n = 0. Calculate n. 0, 13007 Find u, given that -2*u**3/7 - 6*u**2/7 + 146*u/7 + 90 = 0. -7, -5, 9 Factor s**3/4 - 173*s**2/4 - 705*s/4 - 531/4. (s - 177)*(s + 1)*(s + 3)/4 Let 3*m**2/5 - 2418*m/5 - 2421/5 = 0. What is m? -1, 807 Factor -3*d**3 + 213015*d**2 + 12*d - 852060. -3*(d - 71005)*(d - 2)*(d + 2) Factor 5*w**4/7 + 227*w**3/7 + 520*w**2/7 + 172*w/7. w*(w + 2)*(w + 43)*(5*w + 2)/7 Let h**2/6 + 290*h/3 + 2288/3 = 0. Calculate h. -572, -8 Let v**4/6 + 3799*v**3/2 + 22783*v**2/6 - 26587*v/2 + 22790/3 = 0. Calculate v. -11395, -4, 1 Find k, given that 30*k**3 - 97018*k**2/11 - 393948*k/11 - 2384/11 = 0. -4, -1/165, 298 Determine v so that -2*v**3/5 + 1514*v**2/5 - 51982*v - 2059530 = 0. -33, 395 Factor -2*j**2/15 - 38*j/15 + 6768. -2*(j - 216)*(j + 235)/15 Factor 5*w**2 + 836530*w + 34989122045. 5*(w + 83653)**2 Factor -3*m**5/2 + 12681*m**4/2 + 38079*m**3 + 76182*m**2 + 50796*m. -3*m*(m - 4233)*(m + 2)**3/2 Factor -v**3/9 - 1060*v**2/9 + 10739*v/9 + 13910/3. -(v - 13)*(v + 3)*(v + 1070)/9 Let 3*y**3 - 21*y**2 - 15924*y + 396480 = 0. Calculate y. -80, 28, 59 Determine x, given that x**2 - 7662*x + 84161 = 0. 11, 7651 Let 55*j**5/2 - 281*j**4/2 + 249*j**3/2 - 19*j**2/2 - 2*j = 0. What is j? -1/11, 0, 1/5, 1, 4 Solve -5*v**5 - 180*v**4 + 510*v**3 + 10900*v**2 - 41625*v = 0. -37, -9, 0, 5 Factor -4*d**2 + 15736*d - 15732. -4*(d - 3933)*(d - 1) Factor -4*s**3 - 70072*s**2 - 308207360*s - 11610915200. -4*(s + 38)*(s + 8740)**2 Suppose -4*i**5 + 5972*i**4 + 11956*i**3 + 5980*i**2 = 0. What is i? -1, 0, 1495 Factor 4*u**2 - 362092*u + 362088. 4*(u - 90522)*(u - 1) Factor -2*s**3 + 276*s**2 - 7654*s + 31620. -2*(s - 102)*(s - 31)*(s - 5) Factor -3*c**2 + 50676*c - 50673. -3*(c - 16891)*(c - 1) Factor 2*l**4/11 + 58986*l**3/11 - 117980*l**2/11. 2*l**2*(l - 2)*(l + 29495)/11 Suppose -f**4 - 614*f**3 - 114745*f**2 - 5898900*f = 0. What is f? -265, -84, 0 Factor 4*p**3/3 - 968*p**2/3 + 18860*p + 80688. 4*(p - 123)**2*(p + 4)/3 Find n, given that 9*n**4/8 + 33*n**3/8 - 9*n**2/2 - 33*n/2 = 0. -11/3, -2, 0, 2 Determine l, given that -2*l**3 - 386*l**2 + 35496*l = 0. -261, 0, 68 Factor -3*i**3 + 4710*i**2 - 949539*i
{ "pile_set_name": "DM Mathematics" }
cking 1 a and 2 d? 0 Four letters picked without replacement from {j: 6, a: 2}. Give prob of picking 4 j. 3/14 Calculate prob of picking 1 f and 1 b when two letters picked without replacement from {j: 4, l: 2, b: 3, p: 2, f: 1}. 1/22 Calculate prob of picking 2 z and 1 l when three letters picked without replacement from zllllzlzzz. 5/12 What is prob of picking 1 z and 1 y when two letters picked without replacement from {c: 5, n: 1, y: 3, m: 3, r: 1, z: 1}? 3/91 What is prob of picking 1 m and 1 j when two letters picked without replacement from {j: 2, m: 9}? 18/55 Calculate prob of picking 2 p when two letters picked without replacement from bmmppmsppspbmmgbgspp. 21/190 What is prob of picking 1 b and 1 l when two letters picked without replacement from {b: 2, l: 8, z: 3, o: 2, h: 2}? 2/17 Two letters picked without replacement from whooh. What is prob of picking 1 h and 1 w? 1/5 What is prob of picking 2 i and 1 p when three letters picked without replacement from zizpbhpqqpizqpi? 12/455 What is prob of picking 1 w and 1 t when two letters picked without replacement from {u: 3, c: 2, p: 2, w: 4, t: 6}? 3/17 Calculate prob of picking 1 o and 2 d when three letters picked without replacement from odooodokoook. 2/55 What is prob of picking 1 r and 1 l when two letters picked without replacement from cdaccrccldrccddd? 1/60 Three letters picked without replacement from {v: 9, u: 7}. Give prob of picking 2 u and 1 v. 27/80 What is prob of picking 2 m when two letters picked without replacement from {o: 9, m: 2}? 1/55 Three letters picked without replacement from {f: 3, c: 1, x: 1, t: 1, j: 1}. What is prob of picking 1 c, 1 j, and 1 x? 1/35 Four letters picked without replacement from {j: 4, e: 2, f: 1}. What is prob of picking 1 f, 1 e, and 2 j? 12/35 What is prob of picking 4 j when four letters picked without replacement from hjjjhujhuhjuuhjhhju? 35/3876 Two letters picked without replacement from nnnnnnnwnw. What is prob of picking 1 w and 1 n? 16/45 Calculate prob of picking 1 x and 1 g when two letters picked without replacement from ogooooxogoooxgooo. 3/68 Two letters picked without replacement from {r: 8, b: 5}. Give prob of picking 2 r. 14/39 Three letters picked without replacement from {n: 1, w: 1, d: 1, l: 1, s: 1}. Give prob of picking 1 s, 1 w, and 1 l. 1/10 Four letters picked without replacement from kwkwwkwkmmk. Give prob of picking 4 k. 1/66 Three letters picked without replacement from nbbbvbnvbnn. What is prob of picking 3 n? 4/165 Calculate prob of picking 1 g, 1 z, and 1 n when three letters picked without replacement from gnzrr. 1/10 Three letters picked without replacement from wgwuwmuumcuuwbwww. Give prob of picking 1 b, 1 m, and 1 c. 1/340 What is prob of picking 1 g and 1 m when two letters picked without replacement from {d: 4, m: 2, g: 2, q: 1, h: 2, x: 1}? 2/33 Calculate prob of picking 1 s and 1 k when two letters picked without replacement from ttkktsr. 2/21 What is prob of picking 3 b when three letters picked without replacement from {h: 7, b: 4}? 4/165 Calculate prob of picking 2 s when two letters picked without replacement from {e: 3, p: 4, q: 4, s: 9}. 18/95 Three letters picked without replacement from {q: 2, o: 2}. Give prob of picking 2 q and 1 o. 1/2 Calculate prob of picking 1 n and 1 r when two letters picked without replacement from pnnnnppprrpnn. 2/13 Two letters picked without replacement from lyoll. Give prob of picking 1 y and 1 l. 3/10 Three letters picked without replacement from mmyzm. What is prob of picking 3 m? 1/10 What is prob of picking 1 a and 1 g when two letters picked without replacement from {g: 12, r: 4, a: 4}? 24/95 Four letters picked without replacement from ggabjgggbabjjgjajj. What is prob of picking 2 g and 2 b? 1/68 Two letters picked without replacement from qqqwqqqw. Give prob of picking 2 w. 1/28 Four letters picked without replacement from {m: 1, z: 4, q: 3, u: 6, t: 4, c: 1}. What is prob of picking 1 c, 1 m, 1 t, and 1 z? 4/969 What is prob of picking 1 q and 1 r when two letters picked without replacement from {r: 4, i: 2, q: 1, m: 2}? 1/9 Calculate prob of picking 1 v, 1 t, and 2 w when four letters picked without replacement from wbvttwwtwbvvrubvt. 24/595 Three letters picked without replacement from {r: 1, b: 3, s: 1, z: 2}. What is prob of picking 1 r and 2 b? 3/35 Three letters picked without replacement from {z: 15, b: 3}. What is prob of picking 2 b and 1 z? 15/272 Three letters picked without replacement from qqqqzqhmw. What is prob of picking 1 z and 2 q? 5/42 What is prob of picking 1 w and 2 f when three letters picked without replacement from {w: 4, s: 2, f: 2}? 1/14 Two letters picked without replacement from kkkkkttkkk. Give prob of picking 2 k. 28/45 What is prob of picking 1 t, 1 i, and 2 n when four letters picked without replacement from {n: 3, i: 1, t: 1}? 3/5 Two letters picked without replacement from {z: 2, l: 1, f: 3, u: 2, t: 2, v: 2}. What is prob of picking 1 u and 1 l? 1/33 Calculate prob of picking 1 l, 1 j, and 1 s when three letters picked without replacement from vjrisljjrii. 1/55 Calculate prob of picking 2 j and 1 g when three letters picked without replacement from jgjjjg. 3/5 Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {b: 2, p: 2}. 2/3 Three letters picked without replacement from {w: 19, o: 1}. What is prob of picking 3 w? 17/20 Three letters picked without replacement from {h: 3, p: 2, c: 12, d: 1, a: 1}. Give prob of picking 1 h, 1 p, and 1 c. 24/323 What is prob of picking 1 m, 1 h, and 2 e when four letters picked without replacement from {h: 2, m: 1, e: 3, u: 6}? 2/165 Three letters picked without replacement from {e: 6}. What is prob of picking 3 e? 1 Calculate prob of picking 2 x and 1 q when three letters picked without replacement from eqqxxeqqqqxq. 21/220 Three letters picked without replacement from {n: 1, t: 2, s: 1, a: 1, j: 1, w: 2}. Give prob of picking 1 w, 1 s, and 1 j. 1/28 Three letters picked without replacement from ziqqffqqzidqiqii. Give prob of picking 1 q, 1 d, and 1 f. 3/140 What is prob of picking 1 c and 1 n when two letters picked without replacement from {u: 2, n: 4, c: 8, m: 5}? 32/171 Two letters picked without replacement from {y: 1, i: 2, g: 6, o: 1, v: 2}. Give prob of picking 1 o and 1 i. 1/33 What is prob of picking 1 d and 2 r when three letters picked without replacement from rrrrrrrrrrrrdrrrrdrr? 51/190 Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {z: 2, r: 1, d: 1, i: 5}. 1/18 Calculate prob of picking 2 l, 1 z, and 1 c when four letters picked without replacement from {l: 5, p: 1, z: 1, c: 2, b: 1}. 2/21 Calculate prob of picking 1 o, 1 v, and 1 w when three letters picked without replacement from {o: 5, v: 1, w: 10, l: 4}. 5/114 What is prob of picking 1 d, 1 x, and 2 j when four letters picked without replacement from jjbbjxjd? 3/35 Two letters picked without replacement from zzzzsqzhzhhszhzsszz. Give prob of picking 2 z. 5/19 Two letters picked without replacement from {s: 3, k: 2, v: 1, j: 1}. What is prob of picking 1 s and 1 v? 1/7 Three letters picked without replacement from {n: 7}. What is prob of picking 3 n? 1 Calculate prob of picking 1 a and 3 g when four letters picked without replacement from aaagaaaaaagaaggg. 11/182 Two letters picked without replacement from {s: 2, v: 2, a: 1, h: 4}. Give prob of picking 1 h and 1 v. 2/9 Two letters picked without replacement from qbnqi. What is prob of picking 1 q and 1 n? 1/5 Two letters picked without replacement from {g: 1, o: 1, s: 1, q: 2, z: 1, d: 1}. Give prob of picking 1 d and 1 g. 1/21 Two letters picked without replacement from llrlwlwwwrwwwwl. Give prob of picking 2 r. 1/105 Calculate prob of picking 1 o and 1 w when two letters picked without replacement from xqewmmo. 1/21 Four letters picked without replacement from {w: 4, d: 6, a: 4}. What is prob of picking 2 w and 2 a? 36/1001 Four letters picked without replacement from {v: 1, p: 2, o: 6, z: 6, q: 2}. Give prob of picking 2 o and 2 p. 3/476 Four letters picked without replacement from wwwwwwwwwywywwwwww. What is prob of picking 2 w and 2 y? 2/51 Calculate prob of picking 3 d and 1 w whe
{ "pile_set_name": "DM Mathematics" }
0003 Suppose 0 = -5*r - d + 8, -3*r + 5*d = 2*r - 20. Let j = -8 + 8. Suppose j*f = -r*f + 1200000. What is f rounded to the nearest 100000? 600000 Let o(y) = -5*y - 27. Let w be o(-6). Let l be ((-25994)/2 - w)*(-1 - 0). Round l to the nearest one thousand. 13000 Let m = -0.05500033 + 0.055. What is m rounded to seven dps? -0.0000003 Let w be ((-6)/9)/(33/(-42570000)). Round w to the nearest 1000000. 1000000 Let p be (-1748)/(-8) + (-6)/(-4). Let a be (-9)/((-9)/p) - 2. Let s be (a/6 - 3)*60. Round s to the nearest ten thousand. 0 Let u = -1.2 + 33.2. Let r = u + -31.999938. Round r to 5 dps. 0.00006 Let o = 150 - 295. Let w = o - -145.00000161. Round w to 7 decimal places. 0.0000016 Let v = -9.2138 - -0.0938. Round v to one dp. -9.1 Suppose -103*t + 967070 = -90*t. Round t to the nearest ten thousand. 70000 Let c(f) = -124*f + 92. Let x be c(18). Round x to the nearest one hundred. -2100 Let f = 5331.99988434 + -5332. What is f rounded to six dps? -0.000116 Let f = -10 - -22. Suppose 30*n = 26*n - f. Let d be n + 2 + 370001*1. What is d rounded to the nearest 100000? 400000 Let n = 4714636.6 + -4714617.600003. Let z = n + -19. What is z rounded to five dps? 0 Let a(k) be the third derivative of 29*k**4/24 + k**3/6 - 10*k**2. Let c be a(6). Let y be c*(20002 - 8/4). Round y to the nearest 1000000. 4000000 Let u be 2/(-3) + 9 + 66205/(-3). Round u to the nearest ten thousand. -20000 Let g be 16/20 + (-3486)/70. Round g to the nearest ten. -50 Let f = 9548 + -5238. What is f rounded to the nearest 1000? 4000 Let b(h) = -2*h - 8. Let v be b(-5). Let q be 25454816/(v/(-1)) + 2. Let w = q + 18227406. What is w rounded to the nearest one million? 6000000 Suppose 8*h + y = 11*h - 12886, 0 = 2*h + y - 8594. Round h to the nearest 100. 4300 Let d = -9198.0017164 - -9198. What is d rounded to four decimal places? -0.0017 Let g = -48.000336 + 48. Round g to 4 dps. -0.0003 Let d = -1789 - -1789.000001816. Round d to six decimal places. 0.000002 Let d = 202.9999653 + -203. What is d rounded to five dps? -0.00003 Let l = -308 - -290.3. Let m = l + 17.6999613. What is m rounded to six decimal places? -0.000039 Let r = 0.476 + -0.6. Let v = -13.076 + r. Round v to the nearest integer. -13 Suppose 226*y = 221*y - 9050. What is y rounded to the nearest one hundred? -1800 Let i = 998 - 1025.48. Round i to the nearest integer. -27 Let z = -650.0219848 + 649.692. Let j = z + 0.33. Round j to six dps. 0.000015 Let v be 1 + -6 + 368525/5. Round v to the nearest 1000. 74000 Let d(j) = 9*j**2 + 1 + 2 + 13*j - 2*j**3 - 17*j. Let y be d(4). Suppose y*r + 322896 = -22104. What is r rounded to the nearest ten thousand? -120000 Let q = -1339 - -9. What is q rounded to the nearest one thousand? -1000 Let t be (-4)/6 + (-117)/27. Let k(j) = 139999*j**2 - 6*j - 5. Let g be k(t). Round g to the nearest one million. 4000000 Let k be (-44)/8 + 2/(-4). Let t be (1 - 9)*36/12. Let z be k/(-8) - (-5112018)/t. Round z to the nearest ten thousand. -210000 Let s = 49.84 - -0.16. Let r = s + -49.51. Let f = r - 0.48939. What is f rounded to four dps? 0.0006 Let b = 1151434 + -1151434.2000066. Let t = 0.2 + b. Round t to 6 decimal places. -0.000007 Let q = 3027.99998144 + -3028. What is q rounded to 5 dps? -0.00002 Let p = -12.49 + -40.81. What is p rounded to the nearest 10? -50 Suppose 4*s = 2*s + 4. Suppose -11*u = -u - 3130. Let g be u + (s/2 - 4). What is g rounded to the nearest 100? 300 Let u = -1546268.796479 + 1546270. Let a = -1.203 + u. What is a rounded to 4 dps? 0.0005 Suppose -2*n = v - 1, 3 + 9 = -n - 3*v. Let p be (-1672)/(14/5 - n). What is p rounded to the nearest one thousand? 8000 Let g be (1 + 1)/(4/6). Suppose g*i - 2696545 = 492686. Let d = 6063077 - i. What is d rounded to the nearest 1000000? 5000000 Let l = -0.3 - -0.2. Let b = -0.05 - l. Let u = -0.1 + b. What is u rounded to two dps? -0.05 Let x = -242.39997174 - -242.4. What is x rounded to six decimal places? 0.000028 Let p = -2.1 - -2.44. Let m = p - 59.34. Let w = m - -55.7. Round w to zero dps. -3 Let t = 37447792.20000075 - 37447788. Let l = t - 4.2. Round l to seven dps. 0.0000008 Let b = 92.8 - 75.12. Let r = -2.38 + b. What is r rounded to the nearest integer? 15 Let x be 0 - 10/(-6)*3. Suppose l = 2 + x. Let t = -3 + l. What is t rounded to the nearest ten? 0 Suppose -5*n = -4*v + 103370, 2*n + 48586 = -4*v + 7266. Round n to the nearest one thousand. -21000 Let s = -481 - -481.000000273. Round s to 7 dps. 0.0000003 Let m = 391337 - 391337.940036. Let h = m - -0.94. Round h to 4 dps. 0 Let r = 177 - 176.94024. Round r to 2 dps. 0.06 Let g = 104.65932 + -6.66562. Let w = g - 98. What is w rounded to three dps? -0.006 Let s = 8.9438 - 9. Round s to 3 decimal places. -0.056 Let v = -10539.48 - -10539.3700114. Let d = -0.11 - v. Round d to five decimal places. -0.00001 Suppose -2*o - 2*o = -32. Let m be (14781/6)/(4/o). Suppose -m = 4*j - 927. Round j to the nearest 1000. -1000 Suppose -5*f + 469364 - 75854 = -2*c, -5 = c. Round f to the nearest one thousand. 79000 Let r = 156 + -159.66. Let v = r - -4.6. Let s = v + -0.939951. What is s rounded to five decimal places? 0.00005 Let w = -20 + 19.997. Let y = w - -8.203. Let l = 0.8 - y. Round l to the nearest integer. -7 Let b(y) = 11015*y - 36013*y - 117 + 113. Let j be b(2). Round j to the nearest one hundred thousand. -100000 Let v(c) = c**2 + 2*c - 1. Let k be v(-3). Let a be (-3)/(-6)*k + -621. What is a rounded to the nearest 100? -600 Let q = 179607 - 179615.1219. Let w = q + -8.8764. Let s = w - -17. Round s to four decimal places. 0.0017 Let v = -0.0561 + 0.053932. Round v to four dps. -0.0022 Suppose 0 = 2*a - 323106 - 662732. Let u be a - (-3)/(6/4). Let z = u + -302921. What is z rounded to the nearest one hundred thousand? 200000 Let x = 25 - 21. Suppose 512 = 5*f + u + 14463, -4*u - x = 0. What is f rounded to the nearest one hundred? -2800 Let z = 1575 - 2375. Let a be ((-123)/(-12) + -2)*z. Round a to the nearest 1000. -7000 Suppose -5*r - r + 12 = 0. Suppose -r*a + a = -52200. What is a rounded to the nearest one thousand? 52000 Let g = -0.6 + 10.6. Let d = g - 38. Let a = -27.999996 - d. What is a rounded to 6 decimal places? 0.000004 Let w = -4935000 + 4935000.53681244. Let r = -9.23680304 + w. Let t = r - -8.7. What is t rounded to six decimal places? 0.000009 Let a = 9.74001423 - 9.74. Round a to six dps. 0.000014 Let y = 28.76417 + 3387.90983. Let n = y - 3412.574038. Let m = n + -4.1. Round m to five decimal places. -0.00004 Let w = -0.156 + 481.156. Let q = w - 481.000291. What is q rounded to five decimal places? -0.00029 Let k = 0.467703 - -18.537597. Let t = k + -19. Round t to three dps. 0.005 Suppose 2*c + 3*c - 5 = 5*n, 0 = c + 2*n + 2. Suppose x - 2 - 2 = c. Suppose 2*p - x*p = 22000. What is p rounded to the nearest 10000? -10000 Suppose 2*t = 7*t. Suppose -w = -t*w + 1203. Let p be w/(-6)*2 + -1. Round p to the nearest 100. 400 Let l = -292.689 - 0.311. Let j = l + 293.000237. Round j to four dps. 0.0002 Let u = -16.89929 + 16.89. What is u rounded to 3 decimal places? -0.009 Let p be 14/2 - 2/1. Suppose -p*s = -5*x - 95, 3 - 56 = 2*x + s. Round x to the nearest integer. -24 Let v(i) = -271*i**2 - 11*i + 162. Let s be v(16). Round s to the nearest 10000. -70000 Let w = -5484 + 5742.3. Round w to the nearest one hundred. 300 Let n = -0.01 - 0.0111. What is n rounded to 2 dps? -0.02 Let z = -6.76968 + 9.6702. Let c = 0.034 - 2.934. Let k = z + c. Round k to four decimal places. 0.0005 Let h = -1780 + 1779.9999995078. Round h to 7 dps. -0.0000005 Let d = -2.13792 - -0.1308. Let x = -2 - d. Round x to 3 decimal places. 0.007 Let c(n) be the first derivative of -103334*n**3 + 4*n**2 - 6*n + 20. Let g be c(3). Round g to the nearest one hundred thousand. -2800000 Let m = 15.26 - 16. Let l = m - -0.743. Round l to three decimal places. 0.003 Let p be ((-10)/3)/((-6)/9). Let o(k) = -171150*k - 6. Let y be o(-3). Suppose 0 = p*b + 158444 - y. What is b rounded to the nearest 10000? 70000 Suppose 613*c + 924 = 616*c. Round c to the nearest 10. 310 Let a(f) = -f + 73000. Let p(h) = h**2 + 9*h - 7. Let s be p(-10). Suppose -6*z = -s*z. Let b be a(z). What is b rounded to the nearest 10000? 70000 Let y = 82.748 + 1.352. What is y
{ "pile_set_name": "DM Mathematics" }
x*k + 5 = 0, 5*j + 2*k + 37 - 4 = 0 for j. -5 Let n be -1*(-2 + 7 - 9). Solve 0 = 5*c + 3*u - 9, 2*c - 2*u - n = -3*u for c. 3 Suppose 7 = 4*o - 5. Let x be 6/4*(2 - 2/o). Solve 0 = x*g + 3*g - 3*b - 13, -10 = -3*g + 4*b for g. 2 Let f = 10 - 6. Let u(v) = 4*v + 57. Let q be u(-14). Solve -11 = -f*m + s + q, 4*s = m - 18 for m. 2 Let q(g) = -g**3 - 8*g**2 + 7*g - 16. Let v be q(-9). Suppose 0 = v*k - s - 19, -2*k = s + 2*s - 15. Solve 0*x - 2*x = -r + 3, -2*r + k = -x for x. 1 Let b be (5 + -1)/(-4) - -2. Solve -2*q + 2 = o - b, -o + 7 = 4*q for o. -1 Suppose d + 18 = -23. Let k = -36 - d. Solve 5*o - k*w - 20 = 0, -7*o - 4*w = -2*o + 16 for o. 0 Let n = -280 + 302. Solve 0 = -2*l + 10, -p = l + 3*l - n for p. 2 Suppose 27 - 37 = -2*u. Solve -3*r + u*z + 2 + 2 = 0, 2*r + 5*z + 14 = 0 for r. -2 Suppose 6 = 2*n - 3*i, 3*n - 3*i + 4*i = -2. Suppose 4*r - 3 + 9 = 3*b, n = -2*b - 4*r + 4. Solve -b*f = -a, -5 = a - 3 for f. -1 Let k = -1937 + 1940. Solve t - 7 = 2*b, -k*t - 4*b - 3 - 26 = 0 for t. -3 Let y(v) = -3*v - 3. Let f = -6 - -4. Let g be y(f). Suppose -5*a + 23 - g = 0. Solve 4*k = 2*x + 2*k + a, -5*x - 10 = 5*k for x. -2 Let t = 130 - 47. Suppose -5*p - t = -93. Solve -5*w + 12 = 4*d - 15, -p*d - 5*w = -21 for d. 3 Let s = -65 - -70. Solve -s*f - 2*b - 14 = b, 0 = 5*f + 2*b + 16 for f. -4 Let l(r) = -20*r - 36. Let b be l(-2). Solve -5*f - 2*q + 9 = -5, -f = -3*q + b for f. 2 Let d = 11 + -9. Let n = -6 - -18. Let c = 12 - n. Solve c = -2*m, 5*l + 0*l + d*m = -5 for l. -1 Let u be (190/171)/(4/18). Let o(f) = 4*f - 1. Let n be o(1). Solve -2*t = -5*v + 17 + 13, n*v - u*t = 37 for v. 4 Let f(c) = -c**3 - 6*c**2 + 9*c + 62. Let w be f(-6). Solve -2*i + 2*p = -8, -8 - w = -5*i + 3*p for i. 2 Suppose 0 = -2*z + 18 - 18. Let s be -13*(-1 - z/(-5)). Solve -g - 4*p + s = -0*g, -2*g + p - 1 = 0 for g. 1 Let r = -2 + -1. Let j = r - -6. Suppose v + j*v - 8 = 0. Solve u - v*f + 11 = 0, 5*f = 2*u - 3*u + 24 for u. -1 Let q be 2/((-4)/(-6)) + 9. Solve -3*j - 2 = r + 8, 0 = 4*r + 5*j + q for r. 2 Let q(b) = -8*b + 7. Let w be q(2). Let g be ((-12)/w)/(-5*(-4)/30). Solve 4*o - 16 = 0, -g*k + 0 = o - 10 for k. 3 Suppose -432 = -9*i - 414. Solve -h - 3*k = -i, -h + 5*h - 4*k - 24 = 0 for h. 5 Let p be 1/(-8) + 561/136. Suppose 2*g - 21 = c, p*g - 11 = -4*c + 1. Solve 4*x + 4*o = -0 + g, -x - 3*o = -8 for x. -1 Suppose 19*j - 8*j = 33. Solve -6*r = -q - j*r - 13, 0 = q + 5*r - 19 for q. -1 Suppose -31*v + 33*v = 30. Let t be -4 + ((-14)/(-5))/(3/v). Solve -3*p + 15 = -5*d - t, 4*d + 28 = 4*p for p. 5 Let b be (0 + 4 + -9)/(-1). Let c(p) = -p + 10. Let w be c(b). Solve -w*n + 2*s = -0*s - 2, 0 = -4*n + 4*s - 8 for n. 2 Let v(u) = 3*u + 1. Let b be v(1). Let o = 6 - b. Solve -5*l = -o*m, -l - m = 4*m + 27 for l. -2 Let b be 0 + 86/(-4) - 2/(-4). Let h = -5 - b. Solve -2*l + 4*s = 5 - 17, 4*l = -2*s - h for l. -2 Suppose -5*x + 3*b = 9, -b = 5*x - 6*b + 15. Solve -g = 5*m + 9 - 1, x = g + 2*m + 2 for g. 2 Let n(i) = -i**3 - 2*i**2 + i + 3. Let g be n(0). Suppose 4*l - 4*m = 0, g*l + 5*m - 2*m = 30. Solve 3*d - 4*w = w - 2, l*d = 4*w + 1 for d. 1 Let t = 12 + -20. Let m be 100/36 - t/36. Solve 2*q = -3*q + 5*k - 25, 0 = q + m*k - 3 for q. -3 Let o be (-28)/(-6) + 6/(-9). Suppose -o*f = f - 85. Suppose -3*s + 19 = -f. Solve -3*c - s = 5*r, c = -3*r - 3*c - 16 for r. 0 Let y(v) = 61*v + 244. Let k be y(-4). Solve p - 3 = -2*r, -3*r - 5*p + 10 + 5 = k for r. 0 Suppose -5*l - 25 + 4 = -k, 0 = -4*k + 2*l - 6. Let a be ((-40)/5)/k + 0 + 17. Solve -3*s - 4*f = a, 2*s + 2*f = -2*f - 18 for s. -1 Let u be 1/((1/1)/5). Let q(d) = 3 - 3*d + 2*d + 8. Let c be q(u). Solve -z + 2*s = 5, 5*z = 4*s - c - 1 for z. 1 Let n(h) be the third derivative of h**5/60 - h**4/3 + 3*h**3/2 + 6*h**2. Let c be n(7). Suppose c*b + 3*b = 15. Solve 2*l + 2 = g + g, g - 1 = b*l for l. 0 Suppose -2*u = j - 2, -5*u = 4*j - 2 + 3. Suppose w = -3*w + 8, -3*w + 33 = u*c. Suppose -c = -t + 7. Solve n + 4*n = -3*h - t, n = 5*h - 20 for h. 3 Let p be 2/(-2 + 7/3). Let v be (-42)/(-9) - (-2)/p. Let x be (9 + -9 - 0)/(4 + -6). Solve -4*m - 3*h - 8 = -x, -v*m - 5*h = 10 for m. -2 Let z be 7/(21/27) - 2. Suppose -z + 22 = 3*x. Solve g - 12 = 2*i - x*i, 5*i = 5*g + 20 for g. 0 Suppose 137*v - 132*v = 20. Let z = -1 - -4. Suppose 0 = k - 4, -k + z*k - 12 = -r. Solve -3*i + r = -4*i + 2*y, i - 3*y = -v for i. -4 Let b be 9/135*0 - 1*-5. Solve -10*n = -9*n - b, 4*n - 5 = -5*j for j. -3 Let g(l) = -10*l**3 - 2*l**2 + 1. Let w = -1 + 7. Let k be (2/4)/(w/(-12)). Let c be g(k). Solve 3*y - 2*u = -c + 4, 0 = 4*u - 16 for y. 1 Suppose -15 = 3*k, 3*l - 154 = -0*k - k. Suppose 3*x = -4*n + 72, -l = -3*n + x - 3*x. Solve 2*o + 5*t = -0*o - 23, -n = 5*t for o. -4 Let z be 6*(-40 + 38 - 50/(-12)). Solve 0 = -n - 5*t + 2*t + z, 0 = -4*n - 4*t + 12 for n. -2 Let c(t) = t**3 - t**2 + 4*t - 18. Let x be c(3). Solve 0 = 5*m - 5*d + d - 4, -3*d + x = 0 for m. 4 Let c = -2 + 7. Suppose 3*j - 6*j = 6. Let r be 4 - (-1 + 0) - (j - -3). Solve l + r = -c*b - 6, 0 = l + 4*b + 9 for l. -5 Suppose 193 = 8*n + 33. Suppose -4*a = -12 - n. Solve a*w - 5*w = -5*m + 3, 5*m - 2*w = 23 for m. 3 Let v = 9 + -9. Suppose a + a = -3*c + 8, v = -a + 1. Solve -c*r + 22 = 3*z, -3*r + 0*z = 3*z - 27 for r. 5 Suppose -3 = 2*m + 3*t, -t - 58 + 57 = -4*m. Solve m = -3*a - 12, -4*a = q + 20 - 7 for q. 3 Let h = -17 + 33. Suppose 31 - 16 = 5*r. Solve -5*p = -r*d - h, 3*d - 1 = 2*p - 2 for d. 3 Let f be (22/(-33))/(2/(-9)). Let c = 0 + f. Suppose -2 = i, 3*g - g + 5*i = -2. Solve -g*x = -3*n + c, -11 = -3*x + x - n for x. 3 Suppose -5*o = -40 + 15. Solve 0 = 3*t - o*w - 0 - 7, 2*w + 1 = 3*t for t. -1 Let k = 23 - 14. Solve k*n = -5*q + 5*n - 32, -q + 3*n = -5 for q. -4 Suppose -21 = 4*i - 41. Solve -2*l = -c + 4 + 1, -4*l = -3*c + i for l. -5 Suppose 3*o - 6*o = -9. Suppose m + 2 = o*d, -4*d = 2 - 10. Solve m*b - 12 = 5*k + 20, 4*b - 4 = -2*k for b. 3 Let z be (-3 + -6*(-6)/12)*1. Solve -p = l + 10, -5*l + 0*l + 5*p = z for l. -5 Let w = -27 + -68. Let y = 100 + w. Solve 3*o + f + f - 10 = 0, 3*f + 23 = y*o for o. 4 Let l(i) = i**3 + 5*i**2 - 4*i. Let m be l(-5). Suppose -4*h - h = -m. Suppose -h*j + 9 = t, 1 = -5*t + 6. Solve 7*u - j*a = 2*u - 33, 4*u + 16 = -a for u. -5 Let j(m) = 2*m + 33. Let r(c) = -c - 17. Let d(t) = 3*j(t) + 5*r(t). Let g be d(-8). Solve 4*i - 3*k - 2 = g*i, -2*k + 17 = 5*i for i. 5 Let n(r) = -r**2 - 3*r + 8. Let i be n(-4). Solve 5*x = -i*b + x - 4, 3*b + 2*x = 0 for b. 2 Suppose q = -0*q + 12. Suppose -12 = -15*m + q*m. Solve -29 = -5*a - 4*j, a = 5*a + m*j - 24 for a. 5 Let g be ((-2)/(-8) + 4)*4 - 0. Suppose g*x - 1 - 33 = 0. Suppose -3*u + 4*u + 2*k = -2, -5*k - 20 = -5*u. Solve -12 = -3*m - u*p, -1 = m - x*p - 5 for m. 4 Suppose 0 = -d - 1, 3*d = 3*m - 6*m + 9. Solve 20 = b - m*b + 5*t, 0 = -2*t + 8 for b. 0 Suppose 2*f - 2*s - 2 = 0, f - 4*f - 2*s + 23 = 0. Solve -4*n - 12 = -0*j - j, -3*j - f*n = -2 for j. 4 Let d(k) = 2*k + 43. Let z be d(-17). Let m be -3*1 + 3/z*9. Solve -3*u + m*b = -4*b + 5, -5*b = u - 11 for u. 1 Let j(u) = -u**2 + 10*u + 5. Let m be j(9). Let n(w) = 20*w**2 + w - m*w**2 - 5*w**2 + 8. Let q be n(0). Solve -1 + 13 = 3*x + 5*i, -3*i = -2*x + q for x. 4 Let a = 134 - 128. Let i be 20/a - (-2)/(-6). Solve 9*o + 25 = -w + 4*o, -w = i*o + 15 for w. 0 Let l(s) = -13*s + 159. Let c be l(12). Solve 4*z + 5*o = -c, 3 = 5*z + 2*o - 6 for z. 3 Let u be (-1)/(-4) + (12/(-2))/24. Let v be 4/6 - 52/(-12). Solve -4*y + s + u*s - 7 = 0, -5*y - v*s + 10 = 0 for y. -1 Suppose 0 = -2*m + 5*y + 23, 2*m + 3*y - 4 - 11 = 0. Let i(n) = -n**2 - 13*n - 12. Let b be i(-12). Solve -2*u - m = -q, b = -3*u - 4*q - 13 - 6 for u. -5 Let h = 34 + -22. Let j be (h/10)/(27/180). Solve -3*u - 2*l + 33 = -j*u, -3*l + 17 = -u for u. -5 Suppose -5*v = -6*v + 19. Suppose -2 = 5*p - 6*p - 2*z, 0 = 5*p + z - v. Solve -3*m = -3*b + 3, p*b + 4 = -4*m - 0*m for m. -1 Let k be (-10)/(-55) + (-20)/(-11). Let i be 7 - (3 - (k - 0)). Let c be 10*(-1 - -4)/6. Solve r = t - 1, -r = -c*t - i*r + 25 for t. 3 Let s be 1/((-66)/24 + 3). Solve -4*y = 3*n - 6, -s*n + 2*y - 4*y + 8 = 0 for n. 2 Let y(b) = -b**3 - 6*b**2 - 9*b. Let x be y(-4). Solve -5*u = x*f + 22, u - 10 = -0*f + 4*f for f. -3 Let n(h) = -h**2 + 8*h + 4. Suppose 2*p + 16 = 4*p. Let
{ "pile_set_name": "DM Mathematics" }
(-14)) and g. 180 Let t be ((-4)/(-2))/(-8) - 1431/(-108). Let m = 29 - t. Calculate the lowest common multiple of (-2)/(-1*2/22) and m. 176 Let m(x) = 2*x + 36. Let z be m(-26). What is the lowest common multiple of 9 and 0*(-4)/z + 4? 36 Calculate the least common multiple of 10554 and 2*2/38 - 8*(-151)/76. 84432 Let f = -21/389897 - -11733817/7924266628. Find the common denominator of 143/12 and f. 60972 Let b be ((-3)/27*3)/((-1)/3). Suppose -1 = -2*t + b, 2*t = 4*f - 6. What is the smallest common multiple of 64 and f? 64 Let y = 1554 + -7734/5. Let i = -282573/5 - -282544/5. What is the common denominator of i and y? 5 Suppose 2*q - 7 = 2*v + 3*q, -3*q - 9 = 0. Let n(l) = -l**3 + 4*l + 4. Let p = 23/62 + 1079/434. Find the common denominator of n(v) and p. 7 Suppose -2*h = 4, h - 43 = 2*l - 5*l. Suppose o - 102 = l. Let x = o + -115. Calculate the smallest common multiple of 5 and x. 10 Suppose 0 = 99*u - 106*u + 4410. Calculate the least common multiple of 630 and u. 630 Let i = 131/30 + 2/15. Let c = -1224308/30155 + 3/6031. Let a = -1649/40 - c. What is the common denominator of a and i? 8 Find the common denominator of -89/8 and (-30)/(-195)*-13 + (-2343)/(-1220). 2440 Let j = -17210 + 17738. Calculate the least common multiple of 8 and j. 528 Suppose -x - t + 98 = -6*t, -4*x + 4*t = -360. Let z = 124 - x. Let u = z - 25. What is the lowest common multiple of u and 8? 88 Suppose -28*q = -24*q - 20. Suppose -q*l = 5*g - 55, 2*g - l + 5 - 18 = 0. What is the least common multiple of 26 and g? 104 What is the common denominator of 7/(-1652)*(3/3 + (-25)/(-3)) and -3/8? 1416 Let w(d) = -152*d**3 - 2*d**2 - 2*d. Let k be w(-3). Let o = k - 131027/32. What is the common denominator of -7 - ((-14)/(-56))/(4/(-177)) and o? 32 Let g = -1378205/56559132 + -2/224441. Find the common denominator of g and -79/70. 8820 Suppose 16*q + 20 = 11*q. Let l(g) = -5*g - 5. Let n be l(q). What is the common denominator of (-29)/(-18) - (n - 20) and 121/12? 36 Let j = -42457/140220 + 13/1558. What is the common denominator of j and -187/60? 180 Suppose 22*f - 44 = 23*f. Let y = f - -49. Suppose 0 = -4*d + w + 187, 0*w + 235 = y*d - w. What is the common denominator of d and -67/2? 2 Let x = 4/1887 + 66013/15096. Find the common denominator of x and -103/1298. 5192 Let w be ((-1)/2)/(-6 + (-115)/(-20)). Let u be (w + -259)/(-9 + 8). Let z = 6157/24 - u. Calculate the common denominator of -7/5 and z. 120 Suppose -14*a - 1409 = -17*a + x, a - 4*x = 488. Calculate the lowest common multiple of 1170 and a. 2340 Let u = 564 - 555. Suppose u*m = 28*m - 1235. Calculate the smallest common multiple of 52 and m. 260 Suppose 8*v = 5295 + 1201. Calculate the common denominator of (((-12)/(-32))/(-1))/((-35)/v) and -39/20. 20 Let o = -32475443/470084610 + 3/377578. What is the common denominator of o and -29/18? 7470 Let t(v) = 6*v**2 + 53*v + 3. Let a be t(-13). Suppose 10*s - 72 = a. What is the least common multiple of 40 and s? 40 Let d(h) = -2*h**3 - 31*h**2 - 29*h + 2. Let i(o) = -o**2 + o + 38. Suppose 4*p = x, x - 2*p = -p. What is the smallest common multiple of d(-1) and i(x)? 38 Let j = 48 - 30. Let q = -193 + 207. Calculate the least common multiple of j and q. 126 Let g = 3932 - 3652. What is the lowest common multiple of g and 120? 840 What is the common denominator of -5/12 and 0 + 6 - 2945/1710? 36 Let j(p) = 2*p**2 - 51*p + 644. Calculate the smallest common multiple of 32 and j(16). 2720 Let n = -184963/2 + 96180657/1040. Find the common denominator of n and -11/312. 3120 Let o = -9563/18 - -527. Calculate the common denominator of 121/12 and o. 36 Let o = -4426813/6045 + 9520/13. What is the common denominator of o and -79/1240? 3720 Let f = 1206489/212 - 5691. Find the common denominator of -21/106 and f. 212 Suppose -28 = 4*v, -47*r + 44*r + 111 = -3*v. What is the lowest common multiple of 4200 and r? 4200 Let n = -1999 + 2001. Let g be ((-26)/(-6) - 1)*3. Let v = -4 + g. Calculate the least common multiple of v and n. 6 Let k = 2595317002 + -809738110963/312. Let g = k - 15269/6. What is the common denominator of 2/39 and g? 312 Let q(k) = 42*k**2 + 23*k - 26. Let b be q(-13). Let u be b/(-26)*(-1166)/26. Let w = -11684 + u. Find the common denominator of -61/2 and w. 26 Let r = 128 + -218. Let f be (-123)/(-1554)*r/(-8). Let d = f - 4/259. What is the common denominator of -53/10 and d? 40 Let t = 427 + -514. Let p = -81 - t. Calculate the least common multiple of 252 and p. 252 Suppose -4073 = 4*i + 4*u - 16197, 0 = -5*u + 25. Let s = i - 45373/15. Find the common denominator of s and -19/54. 270 Suppose -33*h = -489 - 10203. What is the smallest common multiple of h and 2970? 17820 Let c(k) = k**3 - 20*k**2 + 43*k - 98. What is the least common multiple of 39 and c(18)? 1092 Suppose 0 = -7*w - 0*w + 70. Let f(y) = -5*y + 8. Let h(b) = b**2 + 11*b - 126. Let q be h(-18). What is the lowest common multiple of w and f(q)? 40 Find the common denominator of (1256/(-360) - (-8)/(-20))*40/300 and -109/7482. 67338 Let k = 1714 + -27499/16. Calculate the common denominator of k and (-330)/(-280) + -1 + 1. 112 Let r = 20415 - 40771/2. What is the common denominator of 51/90*2/8 and r? 120 What is the smallest common multiple of 6 and 4/(20/(-152)*(-1 - (-42)/90))? 114 Find the common denominator of (-2 - 955/(-50))*3/(-9) and (-296)/50*10/(-12). 30 What is the least common multiple of 0 + 2814 - (54 + -68 - (3 + -13)) and 5? 14090 Let m(x) = -x**2 + 5*x + 92. Calculate the least common multiple of 136 and m(8). 136 Let u be -10*(165/22)/((-6)/8). What is the lowest common multiple of 45 and (0 + 7)*(-2 - u/(-35))? 90 What is the common denominator of -169/840 and 2144/(-192) - (-5 + 6)? 840 Let p(l) be the first derivative of l**4/4 + 8*l**3/3 + 7*l**2 + 11*l + 3. Let g be p(-6). Calculate the lowest common multiple of (1/g)/(1/(-27)) and 24. 216 Let i = 292 - -744. Suppose -2*z - 4*d - 528 = -4*z, -4*z + i = -3*d. What is the least common multiple of z and 4? 256 Let b = -2765921/10768310 - 1/190029. Find the common denominator of b and 58/9. 1530 What is the common denominator of 1/231 and (-4)/(-22) - (261792/(-48972))/(-27)? 12243 Let w = 113127 + -113121. Let r = 47 + -11. Calculate the least common multiple of r and w. 36 Let t(p) = -p - 16. Let y be t(-24). Suppose 2*k + 5*l = -18, -y*l = 2*k - 5*l + 14. Calculate the common denominator of -1 + (-196)/(-32) + k and 37/5. 40 Find the common denominator of 6 - (981/66)/(3537/1425) and 95/18. 25938 Suppose -60 = -2*z + 2*d, -3*d + 105 = 4*z - 2*d. Let x = -18 - -18. Suppose x = z*a - 25*a - 4. What is the smallest common multiple of 14 and a? 14 Let j = -496/7 - -23983/336. Calculate the common denominator of -27/4192 and j. 12576 What is the smallest common multiple of 4100 and (-10 + 15)/((-3)/(-240))? 16400 Suppose -4*m + 9*m - 144 = -2*s, m = 4*s - 310. Let h = s - 111. Let o = h - -55. Calculate the least common multiple of 18 and o. 126 Let z(n) be the third derivative of 29*n**4/24 + 121*n**3/2 - 300*n**2. What is the smallest common multiple of z(-9) and 99? 3366 Let k = 24/1801 + 217345/43224. What is the common denominator of (50/80*280/50)/(-178) and k? 2136 Let k be (2/(-3))/((-8)/24). Suppose -k*j - 4*s = -26, 4*j + 3*s = -8 + 35. Let f(n) = -n**3 + 9*n + 12. What is the lowest common multiple of f(0) and j? 12 Suppose 20 = 5*b, -3*b - 48 = 5*m - 210. Suppose w - m + 0 = 0. Let n = -58 + 91. Calculate the smallest common multiple of w and n. 330 Let s = 293 + -224. Suppose 3*a = s - 42. Calculate the lowest common multiple of 8 and a. 72 Suppose 30*l - 35 = 23*l. Suppose 3*w = -5*g + 96, -4*g + 65 = -w - l. Calculate the smallest common multiple of 6 and g. 18 Let r = -9574961/112 - -85490. Let j = -5/17 + 403/272. Find the common denominator of j and r. 112 Suppose 32*v + 82*v - 14364 = 0. What is the smallest common multiple of (2 + 26)/(-4 + 3 - -2) and v? 252 Let n = -2062 + 1269. Let u = n + 1505. Find the common denominator of (6/(-40))/(4 + (-2860)/u) and -151/30. 30 Suppose 14*z - 16*z + 4*n + 48 = 0, -z + 3*n = -22. Suppose -4*t = -92 - 84. What is the smallest common multiple of z and t? 308 Suppose -5*u + 76 = -4*d + 10, -4 = d. Let l = -33 + u. Let g = 43 + l. What is t
{ "pile_set_name": "DM Mathematics" }
e smallest value in w, -0.2, u, 0.07? u Let b = 7.455 - 3.455. What is the second biggest value in b, 4/1231, -5? 4/1231 Let f = 398483 + -398485. Let y = 4 + -3.85. Which is the second smallest value? (a) 2 (b) f (c) y c Let y = -8 - -5. Let g = 7966 + -7960. Which is the biggest value? (a) g (b) y (c) -4 a Let h = 471 + -315. Let t = -158.76 + h. Let r = t + 0.76. Which is the smallest value? (a) 0.07 (b) -1/2 (c) r c Let v = -19/10 + 2. Let w = -18636 - -18637. What is the third smallest value in 1/4, v, w? w Let b = 431 + -429.19. Let m = 5.81 - b. Suppose -2*y - 14 = 4*o, 4*o - 2*y = -3 - 7. What is the smallest value in m, o, 1/5? o Let x be 174/(-435) + (-16)/10. Let n be (4/(-4) + 2)/(-7 - x). Let k = 88/21 + -13/3. Which is the biggest value? (a) n (b) k (c) -18 b Let x = -5317 - -5312.8. What is the fifth smallest value in -2, -1/4, -6, x, 5? 5 Let t = 157/188 - 659/564. Which is the fourth biggest value? (a) -4 (b) 1 (c) -0.46 (d) t a Let t = -5954 - -5954.01. What is the third smallest value in 0.5, -0.2, 1/5, t? 1/5 Let h = 0 - -0.05. Let u = 201.85 + -202. Let i = u + h. Which is the biggest value? (a) i (b) -5 (c) -1/8 a Let m = 1567 + -799. Let n = m - 767.5. Which is the third smallest value? (a) -3 (b) 3/91 (c) n c Let r = -2.6359 + 0.6359. Which is the third smallest value? (a) 62 (b) -3 (c) -0.3 (d) 2/3 (e) r c Let y(k) = 2*k**3 + 51*k**2 + 28*k + 70. Let u be y(-25). Let l = -34.02 - -34. Let z = -6 - -5.7. What is the second smallest value in z, u, l? z Let r = 44 - 43.5. Let h = 0.308 - 1.008. Let w = -0.2 - 0.1. Which is the second biggest value? (a) h (b) w (c) r b Let y = -822/13 + 4084/65. What is the third biggest value in y, 53, 4? y Let p = 3026 + -3021.853. Let g = -4.3 + p. What is the third smallest value in g, -1/7, 2? 2 Let f = 40546 + -121642/3. Let s be (-2)/6*(-12)/32. Which is the second biggest value? (a) 36/7 (b) f (c) s c Let m = -34902/5 - -6981. Which is the third biggest value? (a) 162 (b) m (c) -2 (d) 2/3 b Let j = -2040 - -2038. What is the fifth smallest value in 1/6, j, 13, 5, 3? 13 Let l be (-30)/(-45) + 2 + (-16)/6. Let x = -8.8 - -8.4. Which is the third smallest value? (a) x (b) l (c) 2 c Let q = -32.019 + 0.019. Let y = q - -79. Let h = 48 - y. Which is the smallest value? (a) -0.5 (b) h (c) 0.2 a Let t be (-6)/4*(-280)/15. Let x be 8/t - (-8)/21. Let i = 78 - 78.08. Which is the second smallest value? (a) x (b) i (c) 0.3 c Let d = -3.9096 - 0.0904. Suppose -3*f + 20 = 2*g - 0*g, -3*g - 5*f + 32 = 0. Let x = 2 + -3. What is the biggest value in x, d, g? g Suppose i + 21*m = 17*m - 13, 2*i + 12 = -m. Let c(z) = -z**3 - z**2 + 8*z + 4. Let l be c(-3). What is the smallest value in i, 0.4, 0.1, l? i Let z be 1016/5 + 42/(-35). What is the third biggest value in 1, -3, -2/3, z? -2/3 Suppose -89*z = -94*z + 4*r - 12, 5*r - 15 = 3*z. Which is the second biggest value? (a) -3 (b) -2 (c) -1 (d) z (e) -39 c Let t = 1730 + -1732. Let f(w) = w**2 - 2*w - 7. Let s be f(-6). What is the third biggest value in t, 5, s? t Let i = 11 + -6. Let n = 4399 - 4399.5. Let k = -16 - -15. Which is the second biggest value? (a) n (b) i (c) k a Let g = 63934/5 + -12786. Which is the fourth biggest value? (a) 2/23 (b) -1/6 (c) g (d) -2/11 (e) -78 d Let h = 127 + -128. Let j be ((-76)/95)/(h/(-5)). What is the third smallest value in 10/11, j, -2/17? 10/11 Let w be ((-3)/(-1))/1 - 752/(-16). Let j be 18/(-12)*w/(-3). Suppose 3*r - 3*s = 18, 0*s - j = 5*s. What is the third smallest value in 2, -1/11, r, 0.2? r Let m = -308 + 7698/25. Let g = -4.05197 - -0.05197. Which is the biggest value? (a) m (b) 6 (c) -1/3 (d) g b Let v = -29.32 - -29.32. Let f = 1 - 0.6. Let g be (-1 - (-11)/10)*(-25)/(-15). Which is the second biggest value? (a) f (b) v (c) g c Let r = 411.4 + -411.3. Let l = -2 - -4. Which is the smallest value? (a) 0.5 (b) -0.3 (c) r (d) l b Let v = 43 - 46.6. Let i = -10.6 - v. Let g = i + 8. What is the biggest value in -4, g, 4? 4 Let d be (-894)/(-450) + 2 + -4. Let t = d + -8/25. Let b be -4 + 6/7 + 4. What is the third smallest value in b, t, 1? 1 Let d = -0.6624 + -1.3376. Let g be (-10)/4*(-3)/(-15). Let k = -0.3 + 4.3. What is the second biggest value in -0.07, d, g, k? -0.07 Let z be -5 + 242/18 - 8. Let m(l) = -2*l**2 - l - 2. Let a be m(2). Let x be a/4 + 36/14. What is the third biggest value in z, -0.5, x? -0.5 Let a = 0.1 + 5.9. Let z(l) = -2*l**2 - 2101*l - 18742. Let n be z(-9). What is the smallest value in n, 0.13, a? 0.13 Suppose 3*q = 3*m, -3*q = 5*m + 3 + 13. Suppose 0 = 4*h - 4*l + 20, -203*h + 205*h + 5*l = 25. What is the third smallest value in 7/3, m, -2/7, h? h Let z = -13130.7 - -13131. What is the second biggest value in -33, z, 12, 5, 3? 5 Let u be (-100)/85*1/12. Let f = 4/17 - u. Let w = -177 - -177.14. Which is the third smallest value? (a) f (b) -0.1 (c) w (d) -1/3 c Let i be (20/(-75))/(16/(-40)). Let f = -0.4 + 0.7. Let o be 1/(4/5 - 1). Which is the smallest value? (a) o (b) i (c) 0 (d) f a Let w = 322.76 + -80.76. Which is the second biggest value? (a) w (b) 5 (c) 2/13 b Let q = -32 - -35. Let i be ((-51)/15 + q)*15/21. Which is the smallest value? (a) 3 (b) -3/7 (c) i (d) -6 d Let t = 24 + 24. Let n = 47.924 - t. Let b = n - -4.076. What is the third biggest value in 0, -2, b, 2/3? 0 Let f = 2542557/16 - 133079937/848. Let d = -1976 + f. Which is the third biggest value? (a) -5 (b) d (c) -0.2 a Let w(p) = p**3 + 2*p**2 + 3*p + 238. Let j be w(0). Let x = 241 - j. Which is the biggest value? (a) 1/4 (b) -1/7 (c) 0 (d) x d Let k = 18 - 9. Let z = -83491 - -83491. Which is the third biggest value? (a) z (b) k (c) 2/5 a Suppose 8*w + 12 = 5*w, 5*j - 32 = 3*w. Which is the fourth smallest value? (a) 3/16 (b) 2/3 (c) j (d) -4/23 c Let n = 1110.7 + -1110.94. What is the second smallest value in 3, n, 4, 2/11? 2/11 Let r = -294883/8 - -37601. Let m = r - 741. Which is the third smallest value? (a) -5 (b) m (c) -96 (d) -0.3 b Let w = -29045.3 - -29045. Which is the fourth smallest value? (a) -1 (b) -0.5 (c) w (d) 1/135 d Let r = -163 + 165.66. Let l = 1.66 - r. What is the third biggest value in -1/2, l, -0.11, 1? -1/2 Let n = 172 + -172.07. Let m = -46.7 + 47. Which is the second biggest value? (a) 2 (b) n (c) m c Let m(g) = -g**3 - 5*g**2 - 2. Let p be m(-4). Let n = -34619.4 + 34619. Which is the third biggest value? (a) n (b) p (c) -5 b Let b = 9.1 + 8.3. Let l = b + -18. What is the third biggest value in -0.3, 9, l? l Let r = 1 - 0. Let s = -6713 - -6713. Which is the third smallest value? (a) r (b) s (c) -3/2 a Let w = -282 + 282.0009. Let i = w + -0.3009. Which is the third smallest value? (a) 0.4 (b) 0 (c) 2/19 (d) i c Let q = -61 - -1283/21. Let w = 6650 + -13303/2. Which is the biggest value? (a) q (b) 2 (c) w (d) 0.2 b Let f = -42125 + 42129. Which is the second biggest value? (a) 9 (b) 0.1 (c) -1/7 (d) -1/11 (e) f e Let k(m) = -m**2 + 38. Let o be k(6). Suppose -4*n = b + 18, -5*b = -o*n - 6 + 8. Let t = 0.1 + 7.9. What is the biggest value in t, 3/2, b, 3? t Let q = 0.1 - 0.12. Let b = 1107 - 879. Let y = b - 226. What is the fourth smallest value in -5, y, q, 4? 4 Let j = -25.884 + 26.014. Which is the second biggest value? (a) j (b) -11/3 (c) -5 (d) -3 (e) 0.3 a Let h be 99/463760*(-5)/2. Let l = -745831/8651232 + h. Let i = 1/54 - l. Which is the second smallest value? (a) 0.1 (b) 4 (c) i c Let u = -31.684 - 0.016. Let b = u + -0.3. Let p = b - -31.99. What is the third biggest value in 0, -0.1, p? -0.1 Let a = -2 + 1.8. Let m = 0.0852 + 2.2548. Let l = -0.16 - m. What is the biggest value in 0.3, l, a? 0.3 Let b(n) = 9*n - 424. Let s be b(41). What is the second smallest value in 9, -2, s? -2 Let t(z) = z**3 + 11*z**2 - 13*z - 7. Let f be t(-12). Suppose 0*n = -r + 3*n - 12, -136 = 5*r + 4*n. Let k = -20 - r. What is the smallest value in k, f, 3? 3 Let u = 1.52663 - 1.12663. Let s = -0.7 + 0.2. Which is the third biggest value? (a) u (b) s (c) 2/19 (d) -6 b Let r = -8944.9 - -8945. What is the second biggest value in -0.2, 26.9, r? r Let p = 12428.5 + -12428. Let g = -93 - -148. Let k be (-4)/g*(-15)/(-6). Which is th
{ "pile_set_name": "DM Mathematics" }
third smallest value in f, i, g? f Let u = 6 + -5. Let i be (4 + -3)*u/(-2). Let h = -221/14 + 31/2. Which is the smallest value? (a) i (b) -3/5 (c) h b Let c be 236/(-4)*(-1)/(-280). Let p = c - 3/40. Let f = -0.6 - -0.3. What is the second smallest value in f, p, -0.2? p Let v = 14 + -10. Which is the smallest value? (a) 1 (b) 0 (c) v b Let p = 41/18 + -5/2. Suppose 7*w - 2*w - 20 = 0. Let z be w/(-6)*(-3)/(-11). Which is the second smallest value? (a) p (b) 0.5 (c) z c Suppose 5*p - 14 = -4. Let i be ((-1)/p)/(2/4). Suppose 5*t - 20 = -0*t - 4*w, -20 = -5*t - 5*w. Which is the biggest value? (a) 5 (b) i (c) t a Let x = -62 - -62.61. Let y = x + -0.21. Let g = -137/12 + 43/4. Which is the second smallest value? (a) g (b) 0.3 (c) y b Let p = 299/5 + -60. Let a = 17 - 16.7. What is the smallest value in a, p, 3? p Let j(i) = i**2 - 5*i + 4. Let z = 2 + 3. Let r be j(z). Let f be (r/(-21))/((-2)/3). What is the smallest value in 1/11, -5, f? -5 Suppose 2*n = 1 + 11. Let t be (-20)/135*n/(-4). What is the second biggest value in 1, t, 0.4? 0.4 Let y be (-4)/(-14) - (-64)/(-126). Suppose 0 = -5*m + 10 - 5. What is the third smallest value in y, 5, m? 5 Let f(p) = -p**3 - 3*p**2 - 2*p + 2. Let j be f(-2). Suppose -7*q = -2*v - 2*q - 15, -3*v - j*q - 13 = 0. What is the biggest value in 1/11, v, -2? 1/11 Let q = -39 + 38.8. Let n = -0.1 + 0.2. Let w = q - n. What is the third biggest value in -1, -0.1, w? -1 Let t = 0 - -0.5. Let r = t + -0.9. Suppose 0*y - y + 4*l - 17 = 0, 3*y = -3*l + 9. Which is the third biggest value? (a) 0 (b) y (c) r b Let g = 3 - 6. Let r = g + 3.2. Let k = -7 - -7.5. Which is the third smallest value? (a) r (b) -4 (c) k c Let l = 1.2 - 1. Let k = -5.05 + 0.05. Let f = -0.4 - -0.4. Which is the second smallest value? (a) k (b) f (c) l b Let n = 8.4 + -1.4. Let s = 11 - n. Let j = -1 - -1.06. What is the smallest value in s, 1/2, j? j Suppose 0 = -4*c + c - p + 65, 0 = 2*c - 2*p - 30. Let q be ((-6)/195)/((-4)/c). What is the second biggest value in q, -7, 0.1? 0.1 Let m = -39 - -35. Which is the second smallest value? (a) 0.4 (b) m (c) 1/7 c Let f be (-156)/(-91)*14/4. What is the second biggest value in -3, f, -5? -3 Let y = -0.08 - -1.08. Which is the second biggest value? (a) -0.4 (b) -3 (c) y a Let u(y) = y**2 - 4*y - 1. Let m be u(5). Suppose 2*g + m = 3*g. Suppose -i - 15 = 4*i. Which is the biggest value? (a) i (b) g (c) 0.5 b Let k = -53.98 + 54. What is the third biggest value in 3/5, k, 1? k Let j be 2/(-6)*(-9)/21. Let y = -5.29 - -0.24. Let v = -0.05 - y. Which is the second smallest value? (a) v (b) -3/7 (c) j c Let b = -34 - -38. Let m be (0 + 2)*1*-2. What is the third biggest value in b, 2, m? m Suppose 25 = k + 5*u, 4 = 4*k + 2*u - 6. Which is the biggest value? (a) -5 (b) 3/7 (c) k b Let r = 21 + -33. Let y = 17 + r. Which is the second biggest value? (a) -3 (b) -0.5 (c) y b Suppose 6 = -5*g - 4. Which is the second smallest value? (a) 1 (b) 0 (c) g b Let t = -21.036 - -0.036. Let q = t + 21.5. Which is the second smallest value? (a) q (b) 2/7 (c) -2 b Suppose 9 = -4*k + 1. Let v = 0.34 + -0.24. What is the second smallest value in k, 1, v? v Let v = -0.5 - -0.5. Let b = 132/13 + -10. What is the second biggest value in v, -4, b? v Let p(j) = j**3 + 2*j**2 - 3*j + 3. Let x be p(-3). Let m(v) = 2*v - x*v + v + 7 + v. Let r be m(-11). What is the second smallest value in r, -1, -1/2? -1 Let v(j) = -10*j. Let x be v(-2). Suppose -7*q = -3*q - x. Let l = -0.7 + -2.3. What is the biggest value in 1, q, l? q Let h = 0.1 + -0.2. Let w = h - -1.1. Let m be ((-19)/114)/(2/4). Which is the biggest value? (a) -0.5 (b) w (c) m b Let r = 0.4 + 0. Let h = 43.1 - 43. What is the third smallest value in r, 7, h? 7 Let j(x) = -x**3 + 6*x**2 + 8*x. Let v be j(7). Which is the second smallest value? (a) -0.3 (b) v (c) 0.4 (d) -1/6 d Let o = -2 + 5. Let w = -7 + 6.6. Which is the second smallest value? (a) o (b) 5 (c) w a Let w = -57.8 - -58. Let j = -3.8 + 5. Let p = j + -0.2. What is the second biggest value in -2/3, w, p? w Let j(k) = k**3 - 4*k**2 + k + 5. Let n be j(4). Suppose n = -4*g - 3, 2*s + g + 9 = 0. Which is the second biggest value? (a) 0.2 (b) -3/5 (c) s b Let w = -28.9 - -25. Let u = -1.1 + w. What is the third biggest value in -2/3, u, -2/5? u Let w = 72 - 1221/17. Let l = w + 5/68. Let b(n) = 2*n - 18. Let d be b(11). What is the second smallest value in d, l, 0.2? l Let m = -6 - 3. Let x = m - -6. Which is the second smallest value? (a) -0.2 (b) -0.4 (c) x b Let t be 2*(15/(-9) - -1). Suppose 0 = -3*a - 0*a - 540. Let m = -3058/17 - a. What is the third biggest value in t, 0, m? t Let l = -1.01 + 1.51. What is the second biggest value in 2, -1/5, l, 5/6? 5/6 Suppose -4*h + 5*v - 7 = 0, -4*h - 2*v + 13 = -1. Suppose c - 5*n = -n - 17, -3*c - h*n + 19 = 0. Let o = 64/21 - 10/3. What is the smallest value in o, c, -2? -2 Let i = 11/2 + -65/14. What is the third biggest value in -1, 2/9, i, 5/6? 2/9 Let k = -3908/17 - -230. What is the fourth smallest value in 1/8, -0.4, k, -0.1? 1/8 Let v = 2.9 + 0.1. Let h = v - 1. Let u = -0.3 + 0.5. Which is the biggest value? (a) u (b) 1 (c) h c Let u = -67/2 - -101/3. Let r = -4 - -3.5. Which is the smallest value? (a) u (b) r (c) -0.3 b Let i = -5.47 + -9.11. Let f = i - -15. Let w = f + -0.02. Which is the biggest value? (a) 5 (b) -0.3 (c) w a Let n = -4 + 3.4. Let u = -0.6 - n. What is the second biggest value in 5, u, 0.2? 0.2 Let w = -0.4 + 0.2. Suppose 4*f + 15 = 9*f. Let x = 3 - 1. Which is the biggest value? (a) w (b) x (c) f c Let o = 10.32 - 0.32. Which is the smallest value? (a) -3 (b) o (c) -1/5 a Let w = 69 + -68.6. Which is the third smallest value? (a) 5 (b) 0.3 (c) w (d) 0.01 c Let p = 2 - 6. Let t be (69/14 - 5)*-2. What is the third biggest value in p, 1/4, t? p Let n = -0.13 - -0.57. Let z = n + -0.4. Let s = -4.96 - z. Which is the biggest value? (a) -2 (b) s (c) 1 c Let s be (2/3)/(20/6). Let f = 312 + -308. Which is the third biggest value? (a) f (b) s (c) 3 b Let l = -1 + 7. Which is the biggest value? (a) 5 (b) 1/8 (c) 0.1 (d) l d Suppose 0 = 3*d - 5*x, 2*x + 21 = 3*d + 4*x. Which is the third biggest value? (a) -6 (b) d (c) -0.4 a Let m = 4/7 + -46/105. Suppose -4*z - 1 = -3*u + 1, -3*u - 16 = 5*z. Let r be (-1)/2*z/10. What is the third biggest value in m, -2, r? -2 Let h = -235/2403 + 12/89. Let x = 79/54 + h. Let p = 2 + -2.4. What is the second smallest value in -2/3, x, p? p Let c be (-91)/28 - (-2 + -1). What is the third smallest value in c, 3/4, 0? 3/4 Let t be 118/360 + (-1)/2. Let g = 1/20 - t. Let x = -2.3 + 2.4. What is the third smallest value in x, 0.5, g? 0.5 Let p(g) = -3*g**2 + 3*g - 4. Let d be p(-3). Let k = d - -119/3. Which is the biggest value? (a) k (b) -0.2 (c) 2 c Let y = 27/38 + -4/19. Let a = 2 - 2.3. What is the third smallest value in y, 1/4, a? y Let v be 0 + 2/13 + 1340/(-260). What is the third smallest value in v, 4, 0.2? 4 Let h = -2.314 - -0.014. Let l = h - -4.3. What is the second biggest value in l, -2, -0.08? -0.08 Let r = -1/28 - 25/84. What is the second biggest value in -2/9, r, 5? -2/9 Let d = 12 + -6. Let w(f) = -f + 8. Let t be w(5). Suppose 0 = -q - 4, t*s - 10 = q + d. Which is the third smallest value? (a) -0.2 (b) s (c) 3 b Suppose 17*z = 47 + 4. Let f = -17 - -50/3. Which is the second biggest value? (a) z (b) 2/9 (c) f b Suppose 0*k + 4 = 4*k. Let a = -0.04 + -1.96. What is the second smallest value in k, 1/5, a? 1/5 Let i be 4/(-6) + 55/60. Which is the third biggest value? (a) 0.2 (b) -8 (c) i b Let k = 2.7 + -3.2. Which is the third biggest value? (a) -0.1 (b) 2/7 (c) k c Suppose -3*s + 19 = 5*c, 4*c = -s + 4 + 14. What is the smallest value in 1, s, -0.2, -7? -7 Let p = -9 + 23. Let z = p + -12. Which is the third smallest value? (a) -2/7 (b) z (c) -3/2 b Let i = -0.13 + -0.37. Let w be -1 + 69/21 + -2. What is the second smallest value in i, w, 1/6? 1/6 Let l = -0.18 + -1.92. Let p = -2 - l. Let c = -23/42 + 3/14. What is the third biggest value in c, 0.3, p? c Let x = -2.1 - -3. Let c = -0.91 + x. Let y = -4.99 + c. What is the second biggest value in 1/8, -3/5, y? -3/5 Le
{ "pile_set_name": "DM Mathematics" }
*a(r) + 16*w(r). Determine f(o(j)). 24*j**2 - 1 Suppose -5*u + 3*r = -82, r = -3*u + 5*r + 58. Let p(d) = 4*d + 14 - u. Let k(s) be the second derivative of s**3/2 - 7*s. Calculate k(p(c)). 12*c Let k(h) = 43 - 89 - 8*h**2 + 46. Let y(q) be the third derivative of -q**7/1260 + q**4/24 - q**2. Let p(u) be the second derivative of y(u). What is p(k(o))? -128*o**4 Let v(r) = 4*r + 5. Let b(h) = -5*h - 6. Let w(j) = -5*b(j) - 6*v(j). Let a = 10 - 7. Let t(f) = f - a*f + 2*f - 5*f. Give t(w(o)). -5*o Let w(x) be the third derivative of x**5/30 - 3315*x**2. Let s(r) be the first derivative of 32*r**2 + 1. What is w(s(k))? 8192*k**2 Let i(r) = -2*r**2. Let t be ((-4)/10)/(2/(-10)). Let f(o) = -6*o**3 - 7*o**2 - 3*o + 3. Let v be f(-2). Let w(y) = v - 29 - 12*y**t. Give i(w(g)). -288*g**4 Let b(a) be the first derivative of 5*a**3/3 - 130. Let p(g) = -2*g. Let w(y) = y. Let n(s) = -p(s) - 3*w(s). What is b(n(l))? 5*l**2 Let n(i) = 8*i. Let m(s) = 7*s - 11 + 11. Let q(c) = 6*m(c) - 5*n(c). Let r(b) = 11*b + 10165 - 10165. Give q(r(o)). 22*o Let i(r) = 5*r - 21. Let n(b) = -138*b**2 - 131*b**2 + 401*b**2 - 130*b**2. Calculate n(i(q)). 50*q**2 - 420*q + 882 Let l(m) be the second derivative of -m**3/3 + 8*m - 2. Let d(i) = -15*i**2 - 2. Give l(d(v)). 30*v**2 + 4 Let s(u) = -13*u + 3. Let y(h) = -12*h + 4. Let g(j) = -4*s(j) + 3*y(j). Suppose -4*p + 6 + 2 = 0. Let n(z) = -p*z - 2*z + 2*z + 0*z. Give g(n(v)). -32*v Let y(r) = 5*r**2. Let o(k) = -k**2 - k. Let x(m) be the third derivative of m**5/60 - m**4/6 + 18*m**2. Let i(s) = 4*o(s) - x(s). Determine y(i(p)). 125*p**4 Let i(o) be the third derivative of o**5/60 + 2*o**2 - 2. Let t(q) = 21*q. Determine i(t(b)). 441*b**2 Let h(y) = 2*y. Let w be 1122/153 - (1 + 6). Let c(x) be the second derivative of w*x**3 + 7*x + 0 + 0*x**2. Determine h(c(t)). 4*t Let z(p) = p. Let q(x) = -2*x + 1. Let y(b) = -353*b + 4. Let o(v) = 2*q(v) - y(v). Give z(o(w)). 349*w - 2 Let w(s) = 25*s. Let g(j) = 3*j**2 + 10*j. Let k(f) = -f**2 - 4*f. Let q(i) = -2*g(i) - 5*k(i). Calculate w(q(t)). -25*t**2 Let v(x) = 3*x - 5*x + 3*x. Let g(s) be the second derivative of 17*s**3/6 - 19*s - 5. Give g(v(w)). 17*w Let f(s) = -40*s + 12*s + 34*s. Let o(j) = j**2 - 24. Determine o(f(d)). 36*d**2 - 24 Let k(q) be the second derivative of -q**4/12 - 25*q. Let g(y) be the third derivative of y**5/20 + y**2. Give k(g(x)). -9*x**4 Let b(s) = -17*s. Let t(l) be the third derivative of 20*l**2 + 0 - 1/6*l**4 + 0*l + 0*l**3. Give t(b(c)). 68*c Let r(c) = c**3 + 0 - 4*c**2 - 1 - 1 + 5*c. Let m be r(3). Let q(n) = 4*n + m*n**2 - 3*n**2 - 4*n. Let o(k) = -k**2. What is q(o(b))? b**4 Let d(o) = 2*o**2 - 7*o**2 + 4*o**2. Let n(l) = 1. Let k be 3/2*(-52)/(-39). Let t(p) = p + 9. Let h(j) = k*t(j) - 18*n(j). What is h(d(w))? -2*w**2 Let r(w) = 531*w**2. Let q(d) = -9*d**2. Give q(r(u)). -2537649*u**4 Let w(i) = -25*i**2. Let d(y) = 827*y - 2. Calculate d(w(o)). -20675*o**2 - 2 Let f(r) = -252553*r. Let w(h) = 6*h. What is w(f(v))? -1515318*v Let y(g) = 5*g**2. Let a(n) = -13*n - 12. Let q(f) = -272*f - 256. Let r(u) = 64*a(u) - 3*q(u). Determine y(r(l)). 1280*l**2 Let t(d) = -4247*d. Let v(b) = 3*b**2 + 6*b. What is t(v(u))? -12741*u**2 - 25482*u Let c = 91 - 90. Let h(g) = -g**2 + g + 1. Let z(j) = -12*j**2 - j - 1. Let o(y) = c*z(y) + h(y). Let m(t) = -t. What is o(m(u))? -13*u**2 Let m(c) = -2*c. Let d(n) be the first derivative of -5/6*n**4 + 0*n**2 + 0*n**3 - n - 4. Let u(v) be the first derivative of d(v). Give u(m(o)). -40*o**2 Let y(d) = -41*d + 16. Let i(m) = -20*m + 8. Let n(f) = 7*i(f) - 3*y(f). Let o(l) = 11*l - 5. Let q(w) = 5*n(w) + 8*o(w). Let r(s) = 3*s. What is r(q(x))? 9*x Let p(d) = 17*d**2 - 3. Let f = -106 - -97. Let m(y) = 8*y**2 - 1. Let i(t) = f*m(t) + 4*p(t). Let s(u) = u**2. What is i(s(c))? -4*c**4 - 3 Let k(x) = -x**2. Let n(h) = 2*h**2 + 16*h - 7. Let c be n(-9). Let m(z) = -11*z + 2*z + 3*z - c*z. Determine m(k(p)). 17*p**2 Let w(q) = 2*q - 2712. Let s(l) = -38*l**2 + 1. What is w(s(k))? -76*k**2 - 2710 Let l(x) be the third derivative of 2*x**5/15 + x**2. Let v(p) be the first derivative of 3*p**2/2 - 345. What is v(l(j))? 24*j**2 Let u(l) = 45*l**2 + 2. Let c(s) = 158*s**2. What is c(u(z))? 319950*z**4 + 28440*z**2 + 632 Let z(s) = 3*s**2 - 5*s**2 + 0*s**2. Let o(j) = 6*j - 2. Let t(l) = -32*l + 11. Let b(r) = -11*o(r) - 2*t(r). Give z(b(f)). -8*f**2 Let x be 2 + (3 - (-1 - -3))*3. Let c(p) = -4*p**2 + p**2 + x*p**2 - 4*p**2. Let k(r) be the second derivative of -r**4/6 + r. Calculate k(c(d)). -8*d**4 Let d(h) = 8*h. Let s(n) be the first derivative of 15*n**2/2 - 10. Calculate d(s(b)). 120*b Suppose 2*o + 3*o = 10. Suppose -o*g + 2 = -2. Let f(n) = 2*n + g*n - 5*n. Let z(w) = 18*w. What is f(z(h))? -18*h Let u(g) = -g**2. Let d(b) be the third derivative of -12*b**2 + 0 + 1/24*b**4 + 0*b + 2/3*b**3. Determine d(u(h)). -h**2 + 4 Let x(g) be the second derivative of 376*g**4/3 + 187*g. Let m(p) = -p. Determine m(x(l)). -1504*l**2 Let v(t) = 19*t**2. Let h(g) = 5*g. Let r(w) = -13*w. Let p(b) = 5*h(b) + 2*r(b). Determine p(v(y)). -19*y**2 Let p(n) = 16*n + 898. Let c(w) = 8*w**2. What is c(p(j))? 2048*j**2 + 229888*j + 6451232 Let h(r) = 6150*r**2. Let k(d) = 3*d**2. Determine h(k(t)). 55350*t**4 Let d(u) = -2*u + 89 - 89. Let y(h) = -6389 - 15*h + 6389. Calculate y(d(n)). 30*n Let i(t) = 144*t + 28. Let x(w) = -31*w - 6. Let l(m) = 6*i(m) + 28*x(m). Let s(k) = 102*k - 1. Calculate l(s(b)). -408*b + 4 Let c(o) = -12*o. Let b(k) = 4835*k**2. Give b(c(p)). 696240*p**2 Let f(q) be the second derivative of 0 - 1/3*q**3 + 0*q**2 + 5*q. Let k(v) be the second derivative of -v**4/3 + 12*v. Determine f(k(d)). 8*d**2 Let t(l) be the third derivative of -3*l**5/10 + 5*l**2. Let y(c) = -c**2. Let m(b) = b**2. Let j(w) = 5*m(w) + 4*y(w). Calculate t(j(g)). -18*g**4 Let r(n) = 9*n**2. Let k(g) = 5*g**2 - 44. Determine k(r(a)). 405*a**4 - 44 Let i(a) = a. Let r(c) = -20760*c. Give i(r(o)). -20760*o Let t(r) = -6*r + 2*r + 3*r. Let p(s) be the first derivative of 0*s + 14/3*s**3 + 8 + 0*s**2. Calculate t(p(f)). -14*f**2 Let o(n) = -5295186*n**2. Let r(q) = 2*q**2. Calculate o(r(m)). -21180744*m**4 Let b(n) = 756*n. Let w(p) = 7*p + 93. Give w(b(u)). 5292*u + 93 Let x(i) = 2*i**2 - 2. Let r(c) = 7*c**2 - 4. Let k(p) = 3*r(p) - 6*x(p). Let t(m) = 88*m**2. Give t(k(u)). 7128*u**4 Let d(x) = -159*x**2 - 44*x + 1. Let q(z) = 7*z**2. What is d(q(p))? -7791*p**4 - 308*p**2 + 1 Suppose 4*j + 9 = 7*j. Let i = 5 - j. Let g(s) = -s. Let l(d) = -d. Let r(c) = i*g(c) - 3*l(c). Let o(t) = -5*t. Determine o(r(w)). -5*w Let r(u) = -5*u. Let y(f) = -f**3 - 4*f**2 - 3*f + 2. Let w be y(-3). Let g(k) be the first derivative of 7 - 12 - k**w - 2*k + 2*k. What is g(r(j))? 10*j Let s(k) = 6*k - 4*k - 4*k. Let q(c) be the second derivative of 0*c**2 + 2/3*c**3 + 0 - 3*c. Give q(s(b)). -8*b Let h(o) = -o. Let y(t) = -t + 23. Let z be y(6). Let a(q) = 26*q - 15*q + z*q. Determine h(a(x)). -28*x Let w(v) = 0*v - v - v. Let f(m) = 6*m - 3. Let n(y) = 18*y - 8. Let x(d) = -8*f(d) + 3*n(d). Calculate x(w(r)). -12*r Let j(p) = 9*p**2. Let n(r) = 41182*r. Give j(n(q)). 15263614116*q**2 Let i(l) = -2*l**2 - 589. Let o(d) = -22*d + 5. Determine o(i(k)). 44*k**2 + 12963 Let k(n) = -27*n**2 + 1. Let p(w) be the third derivative of -w**4/24 + 107*w**2. Determine p(k(v)). 27*v**2 - 1 Let h(v) = -2*v**2. Let u(i) = 270118*i**2. Calculate u(h(p)). 1080472*p**4 Let j(t) = -2*t. Let w(s) = -60*s**2 + 175. Determine j(w(m)). 120*m**2 - 350 Let b(c) = 585*c. Let f(x) = -2*x**2 - 7. What is b(f(h))? -1170*h**2 - 4095 Let w(k) = 13*k. Suppose 8*t - 17 = -1. Let z(v) = 0*v**2 - 6*v**t + 5*v**2 + 0*v**2. Give z(w(o)). -169*o**2 Let a(d) = 13*d**2. Let k(m) be the first derivative of -m**5/30 - m**2/2 + 6. Let x(c) be the second derivative of k(c). What is a(x(z))? 52*z**4 Let p(c) = c**2 + 4*c + 8. Let s(a) = 3*a**2 + 15*a + 30. Let y(u) = 15*p(u) - 4*s(u). Let o(w) = -w. What is y(o(b))? 3*b**2 Let j(s) = 31*s - 13. Let u(h) = 24*h - 14. Let m(r) = -3*j(r) + 4*u(r). Let k(q) = -2*q. Calculate m(k(z)). -6*z - 17 Let l(i) be the first derivative of 0*i + 10 + 0*i**2 - 2/3*i**3. Let g(k) = -4*k - 20. Let s(b) = -1. Let w(n) = g(n) - 20*s(n). Calculate w(l(q)). 8*q**2 Let i(w) = 5*w.
{ "pile_set_name": "DM Mathematics" }
pose -10*r + 20 = -w*r. Solve 0 = r*y - 0*y - b for y. 3 Let n(y) = 2*y**2 + 207*y + 1185. Let v be n(-6). Solve v*g = -41*g for g. 0 Let b(t) = -2*t**3 - 5*t**2 + 9*t - 5. Let g be b(7). Let p = -869 - g. Solve p*d - 86 + 66 = 0 for d. 5 Let k = -16059 + 16065. Solve -k*v - 341 = -377 for v. 6 Let u be 3/(-9)*(3/1 - 18). Suppose -5*x = 3*o - 563, x = 3*x - u*o - 219. Suppose 0 = 2*h + x - 126. Solve -h = -4*t - 3 for t. 1 Let o be -1*((-6)/(-4))/(4631/(-770) - -6). Solve 0 = 12*r + 23*r - o for r. 3 Let r = 3086 - 3072. Solve 36 = r*i - 34 for i. 5 Let y(l) = 252*l - 991. Let w be y(4). Solve -w*h + 12 = -21*h for h. -3 Let y(t) = 28 + 138 + 5*t + 7 - 11. Let h be y(-32). Solve 18 = h*b - 8*b for b. -3 Let w = -58 - -76. Let i be 8 - 0 - w/9. Solve -i*j + 11*j = -25 for j. -5 Suppose -4*z = 2*c - 638, -3*c = 22*z - 18*z - 951. Let l = c + -308. Solve 13 - 3 = l*i for i. 2 Let q(b) be the second derivative of b**4/12 + 2*b**3/3 - 27*b. Let o be q(-4). Suppose o = -0*c + 9*c - 9. Solve -c = -2*w - 11 for w. -5 Suppose s = -2*s + 3*y + 24, -3*y - 19 = -2*s. Suppose 0 = 5*q + 2*c - 20, -s*q - 5*c + 0*c + 20 = 0. Solve -q*z = z + 10 for z. -2 Let y = 8 + 0. Suppose 127*n - 106*n = -19509. Let t = 930 + n. Solve -7*p - t = -y*p for p. 1 Suppose 142 = -65407*u + 65400*u + 513. Solve 115 = u*v - 97 for v. 4 Suppose -58*t = 35*t - 16*t. Solve t = -8*z - 371 + 355 for z. -2 Suppose 182*b - 179*b = -2*c + 4, 2*b - c - 5 = 0. Let w(a) = -a**2 + 5*a + 5. Let q be w(10). Let p be (-10)/(-4)*(-36)/q. Solve b = -o - p for o. -4 Let v = 1483 + -1456. Solve v*n - 186 = -4*n for n. 6 Let z be 4*2/(9 - (1 + 4))*7. Let b be (2 + 0 - 3)*-11. Solve b*i = z*i for i. 0 Suppose -332 = -937*j + 936*j - q, -14 = -2*q. Solve 331*g + 42 = j*g for g. -7 Suppose -21 = -4*q - b, 18 = 2*q + 73*b - 71*b. Solve 32*t + q = 28*t for t. -1 Let x(f) = 5*f + 162. Let b be x(0). Suppose -7*l - b = 286. Let g = 72 + l. Solve -2*s = -4*s - g for s. -4 Let h(t) = -9 - 18 - 22 + 4*t + 65. Let n be h(-2). Solve -n + 4 = 4*s for s. -1 Let h(f) = -66*f + 135. Let g be h(2). Solve 11 = -7*b - g for b. -2 Let l be (-1 + (-16)/(-12))/((-2)/(-1242)). Let q = -201 + l. Solve -2*g - q - 2 = 0 for g. -4 Suppose 5*l + 4*i - 3 = -18, -4*l + 2*i = -14. Let k be 0 + (6/2 - -38). Suppose -4*f - 2*b = -f - 2, 0 = 4*f - 5*b - k. Solve f*t + 3 = -l for t. -1 Let l be (-14)/2 + (-1 - 1) + 5. Let b be l*(-3)/18 - (-117)/27. Solve 2*c + 3*c = b for c. 1 Suppose 43*n - 1218 = 691 - 447. Solve n = -19*i - 23 for i. -3 Suppose 0 = -5*g - 5*i - 238 + 228, -10 = -3*g + i. Let t(k) = k**2 - 9*k - 5. Let v be t(10). Solve 3*l + v = g for l. -1 Let n(z) = z**3 - 14*z**2 - 16*z + 24. Let j be n(15). Suppose -j*h = 1 - 136. Solve -4*c + h = -c for c. 5 Let s(y) = y**3 + 0*y**3 - 421*y + 3*y**2 + 2 + 416*y. Let l be s(-4). Solve -4*u - l = -u for u. -2 Let f(z) = -z + 133. Let u be f(14). Let h = 128 - u. Solve -h - 11 = -5*t for t. 4 Let r = -7 - -7. Let k = 3987 + -3979. Solve 32 = k*t - r for t. 4 Let h = -16855 - -16870. Solve -h*s = -8*s - 21 for s. 3 Suppose 0 = 158*j + 22*j - 10800. Solve 10*g = j*g for g. 0 Let q(l) = 5*l - 30. Let c be q(7). Let u(b) = 0*b**3 + 0*b**2 - 5*b**3 - c*b**2 + 4*b**3. Let x be u(-5). Solve s + 0*s = x for s. 0 Let l(z) = -z + 3. Let a(s) = -s + 3. Let u(f) = -5*a(f) + 6*l(f). Let k be u(0). Let o = 157 - 152. Solve 4*c - k = o*c for c. -3 Let r be (78/39 - (-14)/(-4))*176/(-6). Solve 0 = -12*i + 34*i + r for i. -2 Let t = 50 - 119. Let b = 74 + t. Let d(x) = -x + 4. Let f be d(0). Solve 3 + b = -f*v for v. -2 Let r(t) = t**2 + 85*t - 756. Let i be r(-94). Solve -106*q + i*q - 64 = 0 for q. -4 Let n(l) = l**2 - 3*l - 1. Let k be n(4). Let m = -2510 + 2512. Solve -m*h + k*h = -2 for h. -2 Suppose 2*j - 2*u + 2 - 4 = 0, 2*u - 10 = -2*j. Suppose -4*r + 10 + 11 = 3*t, j*t + 3*r = 21. Let l = 10 - t. Solve -4*q = -l - 13 for q. 4 Suppose 2*d - 5*s + 35 = 5*d, -s = 3*d - 19. Let w be (32/56)/((-6)/(-21)). Suppose 3*k + 6 = -b, -d*k - 8 - w = b. Solve 3*l - 6 = -b*l for l. 2 Suppose 199*s - 8040 = -2*s. Solve 445*o - 440*o - s = 0 for o. 8 Suppose 5*x = 107 + 33. Suppose 8*g - x - 12 = 0. Solve 8 = -g*n + 33 for n. 5 Let m be 8270/70 - 2/14. Solve -122*v - 8 = -m*v for v. -2 Let i(x) = x**3 + 11*x**2 + 17*x - 1. Let w be i(-9). Let j be w + -1 + (9 - 3 - 3). Suppose -15 = -5*q + 3*r + j, -r = q - 5. Solve -q*s - 3 = 2 for s. -1 Suppose -3*z = 6, -u - 5*z - 4 = 2. Let t(k) = -k - 2. Let q be t(-2). Let h(n) = -n**3 + 46*n**2 - 159*n - 34. Let j be h(4). Solve q*i = -j*i + u for i. 2 Let m be 5/(-3) + 700/42. Solve -40*y - 25 = -m*y for y. -1 Suppose 4*o - 17 = 5*n, -12*o + 11 = -10*o - 5*n. Let y = 31 - 27. Suppose -3*g - 5*p = -o*p + 4, -y*p = -g + 22. Solve -g*f + 13 - 5 = 0 for f. 4 Let l = 645 - 629. Suppose -l*t - 114 = -146. Solve -m + t*m = 3 for m. 3 Let a(q) = -7*q**2 + 19*q + 35. Let d(h) = -4*h**2 + 10*h + 17. Let i(r) = -3*a(r) + 5*d(r). Let j be i(10). Suppose 7*p + 3 - j = 0. Solve 3*s = 2 + p for s. 1 Let s = 2020 + -1986. Solve -199*c + 216*c = -s for c. -2 Let w be 41 - 2/(-4)*-6. Suppose 43*a - 135 = w*a. Suppose 4*t - 3*m - 6 = a, 9 = 2*t - 3*m. Solve 2 - t = 2*k for k. -5 Suppose 0 = -20*g + 5*g + 360. Suppose 36*p = 48*p - g. Solve 0 = p*y + y - 12 for y. 4 Let l(n) = -n**2 + 8*n + 14. Let v be l(-2). Let b be 312/54 - v/27. Suppose -3*y + 4*k = k, 5*y + 4*k - 18 = 0. Solve b = i + y*i for i. 2 Let c be 28/(-63)*6*(-9)/4. Suppose 16 = -4*s, 4*j - 5*s + 0*s = -40. Let h be (3/(-15) - -1)/((-2)/j). Solve -h*f = -3*f - c for f. 2 Suppose -1490 = -c - 2*r, 0 = -5*c + 4*r + 41 + 7283. Solve -c*q = -1452*q - 180 for q. 9 Let j = 43 + -71. Let c = 28 + j. Suppose -2*n = 4*s + 10, 3*s - 3 + c = -5*n. Solve n - 6 = 3*d for d. -1 Let z be (0/(-4) - 6)*(-5)/2. Suppose 3*r - 3*n = -9, -2*r - 5*n + z = r. Suppose u - 1 = -2, r = 4*k - 4*u - 16. Solve k*c = -5 + 14 for c. 3 Let i = 138 - 541. Let t = i + 411. Solve 5*q = t*q - 3 for q. 1 Suppose -2*r = 2*r - 1824. Suppose -r = -9*k + 264. Let a = k + -75. Solve 9*d = 4*d + a for d. 1 Suppose -12*o + 2*o = 0. Suppose -4*r = s - 12, -s - 20 = -o*r - 4*r. Let n be 7 - r*(-5)/(-4). Solve n*c - 12 = 6*c for c. -3 Let b(a) = 3*a**2 - 2*a + 1. Let l be b(1). Suppose -1219 = g - 1224. Suppose 5*f - 10 - g = 5*i, -4*i = 3*f + 12. Solve -j + 0 - l = f for j. -2 Let b = -4567 + 4567. Solve 33*n - 168 + 3 = b for n. 5 Suppose 45 = 5*u - d - 54, -62 = -3*u - 2*d. Suppose 10*n - 26 - 4 = 0. Solve u = 7*j - n*j for j. 5 Suppose -12*y + 106 + 110 = 0. Let k be 4 + (y/(-24) - 51/12). Let j be k/2 - 55/(-10). Solve -4*v + j = 9 for v. -1 Let a(i) = -30*i - 852. Let o be a(-29). Let f(w) = 9 - 11*w**2 + w**3 + 11 - 8*w**2 + 17*w. Let r be f(o). Solve -10 = -r*n - 0*n for n. 5 Suppose 2*d + 2*d - 30 = -2*p, 0 = 5*d - 5*p - 15. Let b = 23 + -41. Let o be (0 - b) + (-6)/(d/3). Solve -5*f + 2*f = o for f. -5 Let w(f) = -f**3 + 4*f**2 + 9*f + 33. Let i be w(6). Suppose -4*l = -16, 8*j + l = 7*j + i. Solve j*a = 12*a for a. 0 Let d(j) = 2*j**2 + 60*j - 30. Let y be d(-13). Let u = y - -478. Solve -u*m + 8 = -10 for m. 3 Suppose 13 = 4*r + a, 0 = 5*r + a - 0*a - 17. Let t be 0/(4 + 0 - 3). Let u be -9*(-3)/(-18)*(-2 + t). Solve -u*z = -z + r for z. -2 Let s(v) = 5*v + 5. Let m be s(-1). Solve 5*n - 57*n - 208 = m for n. -4 Suppose 5*p - 3*c - 150 = 0, -p - 2*c + 0*c = -17. Suppose -4*g = p - 39. Solve -g*u - 1 = 2 for u. -1 Suppose -5*b + 17*b - 60 = 0. Suppose -2*i + 8 = 4*g, -5*i = -g - 4 - b. Solve 4*a = -g - 11 for a. -3 Let r = 2022 + -2010. Solve -72*f = -74*f + r for f. 6 Let l(r) = 2*r - 4. Let c be (-2 + 6)/(5 - 3). Suppose 0 = -5*t - 4*a + 24, -8 = -2*t + c*a - 2. Let b be l(t). Solve -b*p = -3*p + 1 for p. -1 Let u(t) = 569*t + 3414. Let c be u(-6). Solve c = -12*q + 133 - 25 for q. 9 Suppose 0 = 97998*q - 97975*q - 138. Solve -q*h + 55 = 109 for h. -9 Let o be 9 - (-3 - (3 - 13)). Solve 11*p - o = 13*p for p. -1 Suppose -7*j = -5*j. Let h(z) = 10*z - 14. Let q be h(j). Let o = -12 - q. Solve -4 = -2*a - o for a. 1 Let j be (-989)/(-345) + -1 + 17/15. Let r be 21/(-27)*j*9*-5. Let x be (-12)/(-7)*r/30. Solve t = -t + x for t. 3 Let k(i) = 3*i**2 - 136*i - 430. Let y be k(-3). Let n = -13 + 21. Suppose 0 = n*d - 3*d. Solve d = -7*a + 6*a + y for
{ "pile_set_name": "DM Mathematics" }
- 3*r**3 + 3*r**3 + 2*r**4. -52*r**4 Expand (5*z - 4*z + z)*(3*z + 2*z - 4*z)*(z**3 + 0*z**3 + 0*z**3). 2*z**5 Expand (0*h - h - h)*(-h**2 + 4*h**2 - h**2) - 1 + 1 - 2*h**3 + h**3 + 0 + 0 - 2*h**2 + 3*h**3 - 3*h - 3*h**3 + h**3. -4*h**3 - 2*h**2 - 3*h Expand (0*f - 4*f + 0*f)*(-3*f - 26*f - 3*f). 128*f**2 Expand (-f**3 + 0 + 0)*(3 + f**2 - 3) + (-6*f**2 + 3*f**2 + 2*f**2)*(17 + 5*f**3 - 17). -6*f**5 Expand (3*k**3 - 2 + 2)*(k - k + k) - 2*k**4 - k**3 + k**3 - k**4 - k**4 + 7*k**4 - 3*k**4 + 4*k**4 - 2*k**4 + (3*k**3 + k**3 - 2*k**3)*(-3*k + 3*k + 2*k). 9*k**4 Expand (-k**3 + 2*k**2 - 2*k**2)*(3*k + k - 3*k) - 3*k - 2*k**4 + 3*k + (k**2 - 1 + 1)*(-k**2 - 4*k**2 + 3*k**2). -5*k**4 Expand (-1 + 1 + 2*t)*(5 - 5 + 3)*(2 - 3 + 5)*(-4 + 14 - 3). 168*t Expand -2*u**2 + 2*u**2 - 2*u**2 + (u - u - u)*(-1 + 2*u + 0 - 4). -4*u**2 + 5*u Expand (3 + 0 - 5)*(1 - 1 + 3*c) + 6*c - 3*c - 4*c. -7*c Expand (2*k - 2*k + 2*k)*(0*k**4 - 2*k**4 + k**4) + (0*k**2 + 4*k**2 - 3*k**2)*(-3*k**3 + 3*k**3 - 2*k**3). -4*k**5 Expand (4 - 2 + 0)*(2*y - 4*y - y) + (2*y - 4*y + y)*(-4 + 3 + 2) + 3 - 6*y - 3. -13*y Expand (-4*q - q + 3*q)*(9 - 4 - 6)*(-1 + 1 - 2*q). -4*q**2 Expand 1 + 2*l**3 + 2*l**3 - l**3 + (-1 - 1 + 4)*(0*l**3 + 0*l**3 + l**3). 5*l**3 + 1 Expand (0 + z**2 + 0)*(70*z - 70*z + 9*z**2). 9*z**4 Expand (0*k**2 + 2*k**2 - 4*k**2)*(8*k**2 - 3*k**3 - 8*k**2). 6*k**5 Expand -19 + 10*u**3 + 19 + (-4 + 3 + 0)*(0*u**3 - 2*u**3 + 0*u**3). 12*u**3 Expand -3*u**5 + u**5 - u**5 + (4*u**3 - 4*u**3 + u**4)*(u - 6*u + 4*u) + (-u - 4*u + 6*u)*(-2*u**4 - u**4 + 4*u**4) + 5*u**5 - u**5 - 2*u**5. -u**5 Expand (0*l**2 + 0*l**2 + l**2)*(-6*l**2 - 2 + l**2 - 2*l**2). -7*l**4 - 2*l**2 Expand (-3*o**3 - o**4 + 3*o**3)*(3 - 4 + 3 + (2 - 3 - 1)*(3 - 2 - 2) - 3 - 2 + 4 + 0 + 1 + 1). -5*o**4 Expand (-10 + 9 - 17 - 4 + 3 + 2 + 0 - 4 + 3 + (-3 + 1 + 0)*(1 + 0 + 1) - 1 + 2 + 1)*(0 - o + 0). 20*o Expand n**4 - n**4 + 2*n**4 + (3*n**2 - 4*n**2 + 0*n**2)*(-3 - 2*n**2 + 3) - 3*n**4 - n**2 + n**2 + (-n**3 + 0*n**2 + 0*n**2)*(-2*n - n + n). 3*n**4 Expand (32*x + 45*x - 9*x)*(-4 + 6 - 1). 68*x Expand (12*x + x + 2*x)*(0*x**4 - 3*x**4 + 2*x**4) - 3*x**5 + 4*x**5 + x**5. -13*x**5 Expand (-3*p**2 + p**2 + 4*p**2)*(3 - 3 - p**3) - p**5 - p**5 + 3*p**5 + (-24 + 24 + 11*p**3)*(4*p - 4*p + p**2). 10*p**5 Expand ((-m + 0*m + 3*m)*(2*m**2 + 2*m**2 - 2*m**2) - 23*m**2 + 4*m**3 + 23*m**2)*(0*m + 3*m - 2*m)*(-2 - 1 - 3). -48*m**4 Expand (5 + 2 - 4)*(6*m - 2*m - 2*m)*(-3*m - m - 10 + 8). -24*m**2 - 12*m Expand (2*n**2 - 3*n - 5 + 3*n)*((-2 + 0 + 4)*(2 - 3 - 1) - 4 - 3 + 5)*(5*n - 2 + 2). -60*n**3 + 150*n Expand (-2*h + 0 + 0)*(-3 + 3 + h)*(7 - 2 + 4). -18*h**2 Expand (-4*m + 5*m - 3*m + 2*m - 2*m - 2*m + (-1 + 1 - 1)*(5*m - m - 2*m) - 2*m - 2*m + 5*m)*(-m - 2*m - m). 20*m**2 Expand (-8*v + v + 3*v)*(-5 - 1 + 7) + 2 - 2 + 2*v. -2*v Expand -r**4 - 4*r**3 + 4*r**3 + (1 - 2*r**2 + 4*r**2 + 0*r**2)*(r**2 + r**2 - 3*r**2). -3*r**4 - r**2 Expand (5*h + h - h)*(-3*h**2 + 2*h**2 - h**2) + 5 - 5 - 3*h**3. -13*h**3 Expand (-s + s - 3*s**2)*(5 - 6*s - 5). 18*s**3 Expand (-v - 2*v**2 + v)*((1 - 4 + 1)*(2 + v - 2) + v - 3*v - 5*v). 18*v**3 Expand 0*q**5 - 2*q**5 + 3*q**5 + (-2*q**5 - 2*q**3 + 2*q**3)*(0 + 1 - 3) - 8*q**5 + q - q. -3*q**5 Expand (-p + 5*p - 2*p)*(9 + 18 + 11 - p**3). -2*p**4 + 76*p Expand -y**2 + 12*y**3 - 18*y**3 - 3*y**3 + (-5 + 5 - y**2)*(0*y + 2*y - 3*y). -8*y**3 - y**2 Expand 0*g**4 + 2*g**3 - 5*g**4 + 0*g**4 + (-g**2 + g**2 + g**2)*(-2*g**2 + g**2 + 2*g**2). -4*g**4 + 2*g**3 Expand (2 - 5 - 1)*(2 - 2 + a + (1 - 1 - 2)*(-2*a + 2*a + a))*(1 - 1 + 3*a**3). 12*a**4 Expand (-1 - 3 + 3)*((7*u - 3*u - 3*u)*(-2 + 3 - 2) + 3 + 2*u - 3). -u Expand 128*n**2 - 248*n**2 + 122*n**2 - 10*n**3 + n + (3 + n - 3)*(2*n**2 + 0 + 0) + n**3 + n**2 - n**2. -7*n**3 + 2*n**2 + n Expand (0*l**3 - 3*l**3 + 6*l**3)*(2 - l**2 - 2 + (l**2 - 2*l**2 - l**2)*(-3 + 3 + 1) + (2*l**2 + 0*l**2 - l**2)*(-3 + 6 - 1)). -3*l**5 Expand (-5 - 1 + 2)*(0*y - 5*y + 3*y) - 2*y + 2*y - y - 6*y - y + 3*y. 3*y Expand (6 - 6 - 3*s)*(-s + 1 - 2 + 2*s). -3*s**2 + 3*s Expand (i**2 + 3*i**2 + 3*i**2)*(-3 + 3 - 4*i). -28*i**3 Expand (4 + 0 - 1)*(1 - 1 - 2 + (3 + 4 - 6)*(5 - 4 + 0) + 0 + 3 - 2 + 1 - 10 + 2)*(1 + u**2 - 1). -21*u**2 Expand (2 - 10 + 1)*(h + 0*h - 3*h). 14*h Expand o - 2*o + 13*o + (-5 + 5 + 2)*(3*o - 5*o + o). 10*o Expand 2*g**5 + 2*g - 2*g - 2*g**5 + 0*g**4 + 0*g**4 + 0*g**2 - g**5 + 0*g**2 + (1 + 2 - 5)*(-5*g**2 + 5*g**2 + g**5) - 2*g**5 + g**5 - 3*g**5. -7*g**5 Expand (0*t**2 + 2*t**2 + 0*t**2)*(-2*t - 3 + 3) + (2*t + 0 + 0)*(8*t**2 + 15 - 15). 12*t**3 Expand 2*f - 2*f + f**2 + (f + 0 + 0)*(2*f - 2*f + 2*f) - f**2 - 2*f + 2*f + 3*f - 5 + 4*f**2 - f + 7. 6*f**2 + 2*f + 2 Expand (6 - 3 - 2*h**2 - 15)*(4*h - 3*h + 2*h). -6*h**3 - 36*h Expand (3*l**3 - 2*l**3 + 4*l**3)*(5 - 1 - 5 - l). -5*l**4 - 5*l**3 Expand 0*b**4 + 0*b**4 + b**4 + (-2*b - 2*b + 3*b)*(-3*b**3 + 2*b**3 - b**3) - 8*b - 2*b**4 + 2*b + 4*b. b**4 - 2*b Expand (-11*q**4 + 13*q**4 + 4*q**4)*(q - 5*q + 2*q). -12*q**5 Expand (10*t - 5*t + 18*t + (3 - 4 - 1)*(2*t + t - t) + t + 3*t - 6*t)*(3*t - 6*t + t). -34*t**2 Expand (3 - 2 + 1)*(-12*x**2 + 1 - 8*x**2 + 6*x**2). -28*x**2 + 2 Expand (0*t - 2*t**3 + 0*t)*(t - 6*t + t)*(2 + 2 - 5)*(0 + 0 - 1). 8*t**4 Expand (-4*p**3 + 3*p**3 + 0*p**3)*(3*p**2 + 3 + 3*p**2 - 5*p**2). -p**5 - 3*p**3 Expand (0*j**4 + j**4 + 0*j**4)*(3*j - 5*j + 3*j) + j**5 - 2*j**5 - j**5 - 2*j**5 + 0*j**5 + 0*j**5 + (-10 + 10 + 7*j)*(-j**4 + 2*j**4 + j**4). 11*j**5 Expand 3*r**5 - 3*r**5 - r**5 + (19*r**3 - 17*r**3 - 6*r**3)*(-3 + 3 + r**2). -5*r**5 Expand (2*t - t - 2*t)*(-t - 2*t**2 + t) + 2*t**3 - 5*t + 5*t - t**3 + 4*t**3 - 4*t**3 + (-3*t - 2*t + 3*t)*(2*t**2 - 4*t**2 + t**2) + 0*t**3 - 2*t**3 - 4*t**3. -t**3 Expand (4*h + 4*h + 16*h)*(h - h + 3*h). 72*h**2 Expand (0*b**3 + 3*b**3 - 4*b**3 + (-2*b**3 + 4*b - 4*b)*(-3 + 0 + 1))*(4*b - 3*b - 2 - 2*b). -3*b**4 - 6*b**3 Expand -4*f**3 + 4*f**3 + 2*f**3 + (2*f**2 - 2*f**2 + f**2)*(-6*f + f + 2*f) - 2*f**3 + 0*f**3 + 0*f**3 - 10*f**3 + 5*f**3 - 3 + 3*f**3. -5*f**3 - 3 Expand (-a**3 - 2*a**3 + 4*a**3)*(23*a**2 - 29 - 22*a**2 - 18). a**5 - 47*a**3 Expand 4*w + 0*w - 2*w - 3 - 2*w + 3 + (2*w - w - 2*w)*(-1 + 5 - 1). -3*w Expand 2*p + 7 - 1 + 4 + 3*p + 0*p - 2*p + 2*p + p - p + (3*p - 3*p - p)*(-5 + 2 + 2) - 1 - 2*p + 1 - 3 + 2*p + 3. 6*p + 10 Expand -2*t**2 - 6*t**2 + 0*t**2 - t**2 - 2 + 2 + (t + 2 - 2)*(0 + t + 0) - 1 - 2*t**2 + 1 - t**2 - 2*t**2 + 2*t**2. -11*t**2 Expand (-6*u**2 + 2*u**2 + 5*u**2)*((-6*u + 2*u + 2*u)*(0 - 2 + 3) - 2*u + u - u). -4*u**3 Expand -3*w + 3*w + 2*w + (4*w + 0*w - w)*(-3 - 6 + 1). -22*w Expand (-3*h**4 + 5*h**3 - 6*h**3 + 2*h**4)*(-3 + 4 + 11). -12*h**4 - 12*h**3 Expand (2 - 2 + n)*(-3 + 4 + 1) + 15*n - 2*n + 14*n. 29*n Expand (3*t**2 + 0*t**2 - t**2)*(-2*t**2 + 4*t**2 + 0*t**2) - 2*t**4 - 2*t**4 + t**4 + (-2 + 2 + t**4)*(2 + 3 + 1). 7*t**4 Expand (-r - r + 3*r)*(-4*r**2 + 3*r**2 + 4*r**2) + r**3 + r**3 - 4*r**3 + (4*r - 3*r - 3*r)*(-2*r**2 + 1 - 1) + r**3 - 2*r**3 + 0*r**3. 4*r**3 Expand (2*b - 2*b + b)*(4*b + 2*b**3 - 4*b) + (-373 - 3*b + 373)*(2*b**3 - 4*b**3 + 0*b**3). 8*b**4 Expand (-1 + 1 + 2)*(-3 + 1 + 1)*(-5*c + 15*c + 2*c). -24*c Expand -4*q**3 + 3*q**3 + 2*q**3 + (2*q**2 + q**2 + 6*q**2)*(-2*q + q + 2*q) + (3 - 2 - 3)*(-5*q**3 - 2*q**3 + 5*q**3). 14*q**3 Expand (-2*q + 1 - 1)*(2*q - 2 + 2)*((1 - 3 + 4)*(0*q - 4*q + 5*q) - 12*q + 164 - 164). 40*q**3 Expand (-16 + 6 - 4)*(2*k + 2*k - k). -42*k Expand (-q**2 + 5*q**2 - 2*q**2)*(-3 - 2*q**2 + 3) + 0*q**4 + 4*q**4 - q**4 + (-q**3 + 5*q**3 - 3*q**3)*(-12 + 7*q + 12). 6*q**4 Expand (2 - 2 - 3)*(r + 1 - 1)*(-2*r**3 + 4*r**3 + r**3). -9*r**4 Expand (-3 + 1 + 15*c - 13*c)*(-4*c**2 + 5 - 5). -8*c**3 + 8*c**2 Expand (-3 + 1 + 5 + (0 + 1 - 3)*(-3 + 2 + 2))*(0 - 3 - 1)*(-5*p + 3*p + 0*p). 8*p Expand (2*b - 15*b + 4*b)*(-2 - 4*b + 2). 36*b**2 Expand (-6*a**2 + 2*a - 6*a**2 - 2*a**2)*(2*a**3 - 2*a + 2*a). -28*a**5 + 4*a**4 Expand 0*q**4 - q**4 - 2*q**4 + (2*q**2 - 2*q**2 + 2*q**2)*(-q + q**2 + q). -q**4 Expand (3 + 3 + 0 + (1 + 1 - 1)*(0 - 4 + 3))*(-5*t**5 + 0*t**3 + 0*t**3). -25*t**5 Expand (2*i**2 + 4*i**4 + 6*i**4 - 9*i**4)*(3*i + 4*i - 6*i). i**5 + 2*i**3 Expand (4*t**2 - 4*t**2 - t**3)*(8 + 12 - 9)*(3*t - t - 3*t)*(-1 + 3 - 1). 11*t**4 Expand
{ "pile_set_name": "DM Mathematics" }
600541 a prime number? False Is 65209121 composite? True Is 3638141 prime? False Is 4724831 a prime number? True Is 432888859 prime? False Is 794669 a composite number? False Is 19960739 a composite number? False Is 6352343 a composite number? False Is 39852733 a composite number? True Is 5663689 composite? False Is 81738403 composite? True Is 14442573 a prime number? False Is 1936381 a prime number? True Is 5434579 a composite number? True Is 15028077 a composite number? True Is 10889461 a prime number? False Is 153815293 prime? True Is 12105271 prime? True Is 10720067 a composite number? True Is 144767435 composite? True Is 9606529 prime? True Is 11141639 composite? True Is 188107 a composite number? False Is 5452327 prime? True Is 1167443 a composite number? False Is 452048921 composite? True Is 86763601 a prime number? True Is 1649737 a composite number? False Is 15465215 prime? False Is 236042971 composite? True Is 221721739 composite? False Is 4082901 a composite number? 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True Is 242989 composite? False Is 170166521 a prime number? False Is 5086385 prime? False Is 564297871 prime? True Is 29038235 composite? True Is 7452041 a composite number? True Is 174469531 prime? True Is 19085114 a composite number? True Is 17572813 a prime number? True Is 19678457 a prime number? True Is 4629707 prime? True Is 101057387 prime? True Is 3656231 prime? True Is 403691 composite? True Is 19720781 a prime number? True Is 985679 prime? True Is 2917133 prime? False Is 7590053 composite? False Is 45982993 composite? True Is 2598763 composite? True Is 12433 prime? True Is 144349333 a prime number? True Is 4326229 prime? True Is 171387041 composite? True Is 739319227 composite? True Is 115745651 a composite number? True Is 9421977 composite? True Is 31263409 a composite number? True Is 80143211 a prime number? False Is 12328273 a composite number? False Is 150967447 prime? True Is 4304191 a composite number? False Is 20170607 composite? 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{ "pile_set_name": "DM Mathematics" }
the power of 1/5, to the nearest integer? 12 What is 9817112 to the power of 1/2, to the nearest integer? 3133 What is 1155727 to the power of 1/2, to the nearest integer? 1075 What is the square root of 2336248 to the nearest integer? 1528 What is the seventh root of 41124164 to the nearest integer? 12 What is the tenth root of 48851 to the nearest integer? 3 What is 100589 to the power of 1/3, to the nearest integer? 47 What is 4499403 to the power of 1/6, to the nearest integer? 13 What is the seventh root of 837497 to the nearest integer? 7 What is 697878 to the power of 1/6, to the nearest integer? 9 What is 4825121 to the power of 1/3, to the nearest integer? 169 What is 178102 to the power of 1/2, to the nearest integer? 422 What is the square root of 223472 to the nearest integer? 473 What is the square root of 1454122 to the nearest integer? 1206 What is the third root of 279705 to the nearest integer? 65 What is the square root of 5017220 to the nearest integer? 2240 What is 3837688 to the power of 1/6, to the nearest integer? 13 What is the square root of 471129 to the nearest integer? 686 What is the sixth root of 176453 to the nearest integer? 7 What is the third root of 12377057 to the nearest integer? 231 What is the eighth root of 779329 to the nearest integer? 5 What is the tenth root of 525532 to the nearest integer? 4 What is the sixth root of 399158 to the nearest integer? 9 What is the eighth root of 1453556 to the nearest integer? 6 What is the square root of 978776 to the nearest integer? 989 What is the seventh root of 2252509 to the nearest integer? 8 What is the fourth root of 3414319 to the nearest integer? 43 What is 4924878 to the power of 1/10, to the nearest integer? 5 What is 1788678 to the power of 1/3, to the nearest integer? 121 What is 2412736 to the power of 1/2, to the nearest integer? 1553 What is the ninth root of 954137 to the nearest integer? 5 What is 6632191 to the power of 1/3, to the nearest integer? 188 What is 9726920 to the power of 1/7, to the nearest integer? 10 What is the ninth root of 5086433 to the nearest integer? 6 What is the seventh root of 373445 to the nearest integer? 6 What is the third root of 131529 to the nearest integer? 51 What is 5511526 to the power of 1/2, to the nearest integer? 2348 What is the cube root of 5532978 to the nearest integer? 177 What is 72883 to the power of 1/5, to the nearest integer? 9 What is the third root of 333830 to the nearest integer? 69 What is the third root of 355173 to the nearest integer? 71 What is 1734692 to the power of 1/10, to the nearest integer? 4 What is the tenth root of 112809 to the nearest integer? 3 What is the cube root of 614892 to the nearest integer? 85 What is the cube root of 6513494 to the nearest integer? 187 What is the square root of 43254566 to the nearest integer? 6577 What is the tenth root of 16732130 to the nearest integer? 5 What is the seventh root of 84089 to the nearest integer? 5 What is 6033364 to the power of 1/10, to the nearest integer? 5 What is the sixth root of 314051 to the nearest integer? 8 What is the seventh root of 92088 to the nearest integer? 5 What is the cube root of 3804728 to the nearest integer? 156 What is 8291 to the power of 1/3, to the nearest integer? 20 What is the square root of 152494 to the nearest integer? 391 What is the third root of 7011163 to the nearest integer? 191 What is the third root of 4292786 to the nearest integer? 163 What is 11749131 to the power of 1/2, to the nearest integer? 3428 What is the ninth root of 549042 to the nearest integer? 4 What is 5148431 to the power of 1/2, to the nearest integer? 2269 What is the square root of 10534736 to the nearest integer? 3246 What is 1996063 to the power of 1/3, to the nearest integer? 126 What is the third root of 2495971 to the nearest integer? 136 What is 66275 to the power of 1/4, to the nearest integer? 16 What is 222886 to the power of 1/3, to the nearest integer? 61 What is the cube root of 2716262 to the nearest integer? 140 What is 606232 to the power of 1/7, to the nearest integer? 7 What is the cube root of 260766 to the nearest integer? 64 What is 5777 to the power of 1/3, to the nearest integer? 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{ "pile_set_name": "DM Mathematics" }
) = d - 4. Let n be v(4). Which is greater: n or t? t Let v = 104 + -201. Which is smaller: v or -487/5? -487/5 Suppose 0 = 34*d - 17*d - 204. Is d less than 58/5? False Let v(z) = -z**2 - 18*z + 145. Let u be v(6). Is u bigger than -3/250? True Let x = 4.7 - -2.9. Let b = x + 27.4. Let c = -34 + b. Which is bigger: c or -0.01? c Let a = 41 - 36. Suppose 3*h - 4 = -a*p - 49, -p = 5*h + 31. Which is smaller: p or -2? p Let a = -21 - -27. Let s be 304/12*9/a. Let z = -36 + s. Are z and -2 non-equal? True Suppose -4*j - 16 = i + 3*i, 4*j - 4*i = 8. Let x(p) = -p**2 - 6*p + 16. Let l be x(-8). Let d = j - l. Is -4/5 at most d? False Let f(p) be the third derivative of p**5/60 - p**4/6 - p**3 + 21*p**2. Let m be f(5). Is 4/23 greater than m? True Let f = 160/87 - -24/29. Suppose 3*p - 8 = -2*r, -r = -2*r - 5. Suppose 0*c - 3*c = -4*q + p, 0 = 5*c - 10. Which is smaller: q or f? f Suppose -14*j - 4336 = 2*j. Is j greater than -271? False Let r(q) = 2*q**3 - 3*q**2 + 2*q - 149. Let o be r(0). Is -149 smaller than o? False Let a be 151004/251790 + 3/(-5). Do -1 and a have different values? True Let g be (1/(-4))/((-300)/15). Which is greater: g or -1? g Let c be (-6)/12*2/3. Let u be (-18)/48*212/(-6). Let f = -13 + u. Which is smaller: f or c? c Let o = -38 + 27. Let f = o + 41. Let l = 18 - f. Which is smaller: l or -11? l Let t be 512/3784 + 2/(-11). Which is smaller: -1 or t? -1 Suppose 0 = -5*c + 4*k + 81, -c + 5*k - 73 = -5*c. Let h = c + -18. Are h and -3/16 equal? False Let x = 201 - 200. Which is smaller: 34 or x? x Let b = 30/19 - -100/57. Let t = 3 - b. Is t greater than 0.8? False Let a(x) = x - 2. Let y be a(2). Let c = -582 - -588. Is c greater than or equal to y? True Suppose -2*d + 5*r + 39 - 2 = 0, -2*r = -d + 16. Suppose -d*a = -9*a - 33. Is a < -10? True Suppose -j + 60 = 4*z, -4*j + 0 = 2*z - 212. Are j and 52 nonequal? False Let g = -36.08 + 0.08. Let w = 22 + g. Let j = -3.32 - -3.42. Is w smaller than j? True Let o(d) = 3*d - 12. Let f(j) = -4*j + 13. Let c(m) = 4*f(m) + 5*o(m). Let h be c(-8). Suppose i - 1 + 2 = h. Which is bigger: 3/7 or i? 3/7 Let g(t) = t**2 + 15*t - 33. Let b be g(2). Which is greater: b or -10? b Let k(i) = 6*i - 16. Let g be k(-9). Let w = g - -70. Is w <= -2/3? False Suppose 6*o + o = 0. Suppose o = -d + 3*c + 2*c - 20, 5*c + 10 = -5*d. Which is smaller: -21/4 or d? -21/4 Suppose -15*p + 12*p = 168. Which is greater: -57 or p? p Let h = 28 - 26.9. Let z = -0.32 - 1.78. Let x = z + h. Which is greater: x or -2/21? -2/21 Let v = -279 - -97. Is -182 at most v? True Let d = 60 - 37. Let v = d - 23. Which is greater: v or -5/7? v Let k(l) = -l**3 - 13*l**2 + 30*l + 13. Let d be k(-15). Which is bigger: 21 or d? 21 Let b = 122.1 + -120.1. Which is smaller: 1/77 or b? 1/77 Let r be -4 + (-888)/30*(-1)/5. Which is greater: r or 1? r Suppose -b + 0 + 11 = 3*s, 2*s - 6 = 0. Suppose b*v = -0*v. Suppose -3*i - 3*k + 12 = v, 3*k - 7 = 5*i - k. Are -1/3 and i unequal? True Let k be (-52)/78*(230 + (-1)/(-1)). Let p = -172 - k. Which is greater: -20 or p? p Suppose -4*f + 10 = 10. Suppose f*u + 3*o + 6 = 5*u, 4*u - o = 2. Is u <= -1/7? False Let w = 0.078 - -37.922. Let l = w + -73. Does l = 0? False Let d be (-3)/(-4 - -1) + 2. Suppose 3*i = h - 32, d*h - 2*i = -0*i + 103. Let t = -50 + h. Is -15 smaller than t? False Let u be 2/3 - 3*(-7160)/(-32310). Which is greater: u or -1? u Let h = -2/5931 + 610903/29655. Let y = h - 21. Are y and -1 nonequal? True Let p be 1 - (-10 - (808 + 4)). Do p and 824 have the same value? False Suppose -16351 = 6*f - 89*f. Which is smaller: f or 195? 195 Let r = 4174 - 66755/16. Does r = 3? False Suppose 26 = l + 3*y, 0 = 5*l - 2*l - y - 108. Let c = -209/6 + l. Which is smaller: -1/6 or c? -1/6 Suppose 0 = 5*x + 3*x - 1432. Is x less than or equal to 179? True Let v(y) = y - 4. Let w be v(-5). Let j = -9698 - -9691. Is j equal to w? False Let g = 25.6 + -26.432. Let k = g - 0.048. Let t = 0.12 - k. Is 2 at most as big as t? False Let c be -3*4/(-48)*-4. Let x be (5/45)/((-1)/c). Is x greater than -1? True Let u be 9/(-3 + 174)*4/6. Which is smaller: u or 0? 0 Let h = -69 + 107. Let n = 24 - h. Let r = 12 + n. Which is smaller: -0.2 or r? r Let i = -506 - -485. Is -14 at least as big as i? True Let u = -6 - -5.57. Suppose -4*k - 3*t = -16, 21*k = 18*k + 2*t - 5. Is u at least as big as k? False Let o = -6.02 + 0.02. Let p = 6 - 11. Let u = o - p. Does -3/4 = u? False Suppose -4*l = 2*j - 2018, 77*l - 74*l = 3*j + 1518. Which is smaller: l or -3? -3 Suppose 2*j - 3*j = -3. Let i be (-4)/j - (-2)/6. Let g(f) = -f**3 - 2*f**2 + 10*f + 10. Let p be g(-1). Are i and p unequal? False Suppose 0 = -0*n - 3*n. Let t be (-9*(-18)/243)/((-4)/(-6)). Suppose n*w + t = w. Which is greater: w or -1/7? w Suppose -21 = -m - d + 2, -8 = 2*d. Let s be (-3)/(-99)*m/6. Are s and -1 equal? False Suppose 0 = -5*l + 123079182 - 786617752. Let u = l + 72856561076/549. Let x = 428/9 - u. Which is greater: 1 or x? 1 Let r be (3 + 37/3)/(34/(-561)). Is -250 equal to r? False Let s be (1005/(-11792))/((-9)/(-12)). Is s smaller than 0.1? True Suppose 81 = -5*v + 11. Let x be v*2/(-16) - 2. Let j = -943 - -941. Which is bigger: x or j? x Let s = 104 - 113. Is s > -12? True Let o = -14 - -6. Let i be 1/(1 - o/(-9)). Let c = i + -7. Are 5 and c non-equal? True Let a(o) = -3*o**3 - 4*o**2 - o - 18. Let n be a(-4). Which is smaller: 340/3 or n? 340/3 Suppose 7*w = 3*w - 24. Let q = 2 + 2. Suppose -8 = 2*y + q. Is w > y? False Suppose 8*c + 60 = 4*c. Let y be (1*(4 + -1))/(93/(-434)). Which is smaller: c or y? c Let l be ((-588)/(-70))/(((-8)/5)/(-4)). Is -3 smaller than l? True Suppose 4 + 4 = -2*f. Let k(o) be the first derivative of o**3/3 + 3*o**2/2 - 4*o - 15. Let g be k(f). Is g less than -2/7? False Let v = -2 + 12. Let n = 12 - v. Suppose 0 = n*p + a, 4*a = 2*p + 2*a. Which is smaller: p or 2? p Let i = -159 - -127. Which is bigger: i or -6? -6 Suppose 17 = -6*b + 335. Is b smaller than 51? False Suppose 0 = 5*t - 19 + 19. Is t at least 1/1363? False Let z = -0.7 - -1. Let v = -1.5 + 1.51. Let s = 0.01 - v. Which is smaller: z or s? s Let q = -138 + 139. Is q at least -159? True Let s be (-3)/((-48)/68)*4. Suppose -s = d + u, -4*d + 5*u - 19 - 13 = 0. Let c(n) = -n**3 - n**2 - 13. Let k be c(0). Is k greater than or equal to d? True Let w = -1/37 - -264/185. Let b(y) = 2*y**2 - 9*y + 15. Let i(a) = -3*a**2 + 17*a - 30. Let z(l) = 5*b(l) + 3*i(l). Let d be z(-8). Is w at least as big as d? True Let d = 2045 + -2017. Is d >= 75? False Let u be 23/(-240) - (-4)/12. Let d = 1/80 + u. Is 1 less than d? False Let s = 107 + -138.9. Let n = s + 27. Let w = n - -5. Is 0 bigger than w? False Suppose z = -z + 8. Suppose z*v + 5*x = -17, v + 3*v - x + 11 = 0. Suppose -1 = 3*y + 5. Which is bigger: v or y? y Let s = -8 + 13. Suppose -4*o + 17 = -t - 0*t, s*t - 30 = -3*o. Suppose -t*x + 5*k - 29 = 0, -5*k = -2*x + 6 - 32. Which is bigger: -2 or x? -2 Suppose 5*q - 4*k - 7 = -2*k, 0 = -5*q + 5*k - 5. Suppose q*o + 3*r = -0*o + 15, 0 = -5*r + 25. Which is smaller: o or -106? -106 Let m = 212 - 212.2. Which is bigger: m or 109? 109 Let n(g) = 8*g - 105. Let w be n(13). Is 98 <= w? False Let d be 9/15*150/(-96). Which is smaller: -2 or d? -2 Let q = -16.09 - -0.09. Let t = 16.03 + q. Are t and 2/5 equal? False Let b = -22 + 37. Suppose -4*s - 9 = b. Let a = 5 + s. Are a and -1 non-equal? False Let q be (-50)/(-20)*(-984)/(-30). Which is smaller: 403/5 or q? 403/5 Let k = 64 + -64. Let r = -10/49 - 302/441. Is r > k? False Let o be (4 + 2032/(-40))*15/(-2). Are o and 352 nonequal? True Suppose -4*d + 6 + 6 = 0. Does -0.09 = d? False Let n(x) = -x - 10. Suppose 2*j = -j - 15. Let a be n(j). Which is greater: a or -31/5? a Let h(b) = -2*b**2 + 35*b + 4. Let k be h(18). Let a = k - -8. Which is smaller: a or -5? a Let h = -2 - -8. Let m be 1*h*2/3. Which is smaller: m or 5? m Let u = -204 + 294. Let f be 10/(-225)*-9 + (-76)/u. Which is greater: -1 or f? f Let n(a) = a**3 + 7*a**2 + 5*a - 3. Let p be n(-4). Let z be 90/p - (-4)/10. Suppose -z*r + 20 = c, 0*r = -3*r - 4*c + 2. Is r at most as big as 3? False Suppose -19*b + 22 = 3. Which is bigger: -7/30 or b? b Let y = -4 + 4. Let n = -118/145 + 12/29. Is n >= y? False Let l = 0.
{ "pile_set_name": "DM Mathematics" }
251 a composite number? True Is 1768517627 composite? False Is 395086859 composite? False Is 382566967 prime? True Is 52118262767 prime? True Is 422735641 prime? True Is 3794508139 a prime number? False Is 17184913399 prime? True Is 9848752937 a prime number? False Is 493534429 a composite number? True Is 1533009581 composite? False Is 444553309 a prime number? False Is 133731260653 a prime number? False Is 4813949027 prime? True Is 1135141347 composite? True Is 3396975773 a prime number? True Is 1027470757 a prime number? False Is 31298711 composite? True Is 168729713 a composite number? True Is 5217144109 a composite number? True Is 1800190607 prime? True Is 297135721 a composite number? True Is 1537337603 prime? True Is 11058741443 composite? False Is 104095797223 a composite number? True Is 252485483 composite? True Is 172305257 a prime number? False Is 75518808611 composite? False Is 170281789 a composite number? False Is 35412549287 a prime number? 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True Is 58397693707 a composite number? False Is 42429903527 prime? False Is 15857595107 prime? True Is 172449178523 a composite number? False Is 86761305269 prime? True Is 16155728987 a composite number? True Is 44318860597 a prime number? False Is 6190814947 prime? False Is 21785126893 a prime number? True Is 320960632763 a composite number? False Is 1788690881 a composite numb
{ "pile_set_name": "DM Mathematics" }
q**4 + 2*q**4 + (-1 + 1 - 3*q**3)*(q + 1 - 1). 3*q**4 Expand (0*o + o - 3*o)*(-5 + 5 + 2*o) + (-3*o + 6*o - o)*(0 + 0 + o) + o**2 + 2*o**2 - 2*o**2 + 1 - 1 - 2*o**2 - 5*o**2 + 3 - 3 - o**2 + 8*o**2 + 5*o**2. 4*o**2 Expand (2*d + 0*d - 6*d)*(1 - 1 - 2*d)*(-64 - 5 + 316 - 10). 1896*d**2 Expand 246*g - 3*g**5 - 229*g**2 + 295*g - 543*g + (-g**2 - 2*g**2 + 5*g**2)*(-3*g**3 + 2*g**3 + 3*g**3). g**5 - 229*g**2 - 2*g Expand (-x + 3*x - x)*(9 + 13*x - 9) - 2*x + 2*x - 4*x**2 + (5*x - 4*x + 0*x)*(0*x + 4*x - 5*x) + (0*x - 2*x + x)*(-x + 0 + 0). 9*x**2 Expand -3*a + 3*a - 2*a + (16 + 12 - 10)*(2*a - a - 2*a) + (4*a - 4*a - 2*a)*(1 - 1 - 2). -16*a Expand (4*u - 7*u + 2*u + 8)*(0*u + 0*u - 3*u)*(3*u**2 - 10*u**2 + 8*u**2). 3*u**4 - 24*u**3 Expand (-3 + 3 + 2*b)*(-8 + 5*b + 8) + (5*b - 7*b + 12*b)*(2*b + 0*b - 5*b). -20*b**2 Expand (0 - 2*r**2 + 0)*(3 + 3*r**3 - 3) + (-3*r**4 - 2*r**4 + 3*r**4)*(13*r - 108*r + 175*r). -166*r**5 Expand (-3*g**3 - g**4 + 14*g**3 - 12*g**3 + 57)*(-2*g - 3 + 3). 2*g**5 + 2*g**4 - 114*g Expand (187906*h**2 - 187906*h**2 + 56*h**3 + 3*h)*(2*h + 4*h - 4*h). 112*h**4 + 6*h**2 Expand (2*d + 2*d - 8*d + 3*d - 4*d + 4*d + (0 - 2 + 0)*(d - 4*d + 2*d))*(-2*d - 2*d + d). -3*d**2 Expand (0*r + 2*r - 4*r)*(4*r**3 + 52 + 84 - 38). -8*r**4 - 196*r Expand (-11*c - 37*c - 22*c)*(-1 - 2 + 4). -70*c Expand (-4*s + 4*s + 2*s)*(-2 + 0 + 1) - s + s - 4*s + ((-1 - s + 1)*(3 - 2 - 2) + 4 + s - 4)*(-2 - 9 + 15). 2*s Expand (-5 + 3*q + 5)*(116 - 90 - 71). -135*q Expand (-2*f + 2*f - f**2)*((0*f - 3*f + 5*f)*(5 - 5 - 2*f**2) - 4*f**3 - 2*f**3 + 5*f**3 - 7*f**3 - f**3 + 2*f**3). 11*f**5 Expand -24*d**5 - 7*d**5 + 7*d**5 + (-d**2 - 4 + 4)*(4*d**3 + 0*d**3 - 2*d**3) + 0*d**3 + 3*d**5 + 0*d**3 - 4 + 3*d**5 + 4. -20*d**5 Expand (20 + 111 + 17)*(d**3 - 3*d**3 + 0*d**3). -296*d**3 Expand (47*z**2 + 27*z**3 + 50*z**2 - 96*z**2)*(3 - 1 - 5). -81*z**3 - 3*z**2 Expand (65 - 34 - 21)*(10*p - p - 2*p). 70*p Expand (10*w - 10*w - 14*w)*(-7*w**2 + 11*w**2 - 3*w**2) + (-2*w**2 + 2*w**2 + 2*w**3)*(-2 - 3 + 6) + 0*w**3 - 4*w**3 + 3*w**3 - 3*w**3 + 2*w**3 + 3*w**3. -11*w**3 Expand (-1 + 1 + 1)*(-3*s + 9*s + 0*s)*(51*s - 34*s**2 - 51*s). -204*s**3 Expand (-5*s**2 + 4*s**2 - 2*s**2)*(8 - 1 - 2) - 9*s**2 + 0*s**2 + 1 + 4*s**2. -20*s**2 + 1 Expand (-1 + 1 - 1)*(r + 3 - 3) - 13*r - 22 + 14*r + 18*r. 18*r - 22 Expand 2*c + 2*c**3 - 2*c + (-9*c + 10 - 10)*(4*c**2 - 4*c**2 + 2*c**2) + 113*c**2 - 13*c**3 - 113*c**2. -29*c**3 Expand (11 + 9 - 6)*(-16*m + 16*m + 8*m**5). 112*m**5 Expand -2*k + k**4 + 2*k + (-2*k**2 + 3*k**2 + k**2)*(-k + k - 2*k**2 - 3*k**2 + k**2 + 4*k**2 + (-2*k + 4*k + 0*k)*(0*k - 3*k + k) - 320 + 44*k**2 + 320). 81*k**4 Expand (0 + 1 + 0 - 1 + 6 - 4 - 1 + 1 + 1 - 2 + 0 + 1 - 1 - 1 + 0 + (2 + 0 + 0)*(-2 + 2 - 1) + 3 + 2 - 1 - 13 + 4 - 15)*(-2*h + 3 - 3). 44*h Expand -32*u + 3*u**4 + 32*u + 6*u**4 - 24*u + 24*u + (-2*u + 3 - 3)*(2*u**3 + 2*u**3 - 3*u**3) + u**4 - 2*u**4 + 3*u**4. 9*u**4 Expand (5*g**3 - 2*g**3 - 4*g**3)*(-2*g - 15*g - 22*g - 2*g) - 6*g**4 + 6*g**4 - 19*g**4. 22*g**4 Expand (-4 + 5 + 0)*(2 + p - 2) + 25 + 262*p + 2390*p - 25 + 5*p - p - 3*p. 2654*p Expand (109*c - 109*c + 12*c**2)*(9 + 11 - 4). 192*c**2 Expand 10*y**4 + 15*y**4 - 5*y**4 + (0*y**2 - 3*y**2 + y**2)*(-14*y + 14*y - 2*y**2) - y**4 + 0*y**4 + 3*y**4. 26*y**4 Expand (-2*q + q - 3*q + 1 + 2*q - 1 + (-q + 1 - 1)*(1 - 1 + 1) - 2*q - 1 + 1 + q - 1 + 1)*(86 - 86 + 33*q + (-6 + 3 + 2)*(-3*q - 3*q + 5*q)). -136*q**2 Expand ((-3 + 5 - 3)*(-9*k - 19 + 19)*(k**3 - 6*k + 6*k) + (-5*k**2 + k**2 + 3*k**2)*(2*k**2 + 3*k**2 - 3*k**2))*(-2*k + 0*k + 0*k). -14*k**5 Expand -2*z**3 - z**3 + 4*z**3 + (-5 + 1 + 3)*(-4 + 0 + 0)*(59*z + 7*z**3 - 59*z). 29*z**3 Expand 4 - z**5 - 4 + (-z**3 + 4*z**3 - 6*z**3)*(5*z + 3*z - 5*z)*(-2*z + 3*z + z). -19*z**5 Expand (3 - 2 + 0)*(94*c - 199*c + 92*c)*(-c**4 + 2 - 2). 13*c**5 Expand (0*q**2 + 0*q**2 - 2*q**2)*(2*q**2 + 2*q**2 + 0*q**2 + (1 - 1 - 2)*(2 - 2 + 2*q**2) - 4*q**2 + 3*q - 3*q). 8*q**4 Expand (4 - 42 - 29 - 64)*(4*z + 0*z + 2*z). -786*z Expand (2198 - 4392 + 2191 + 913*k)*(-k + 0*k + 2*k). 913*k**2 - 3*k Expand (-f**2 + 2*f**2 - 2*f**2)*(182 - 2*f - 182)*(f**2 + 2 + 2 - 1). 2*f**5 + 6*f**3 Expand (-402 - 452 - 693 - 16)*(f**2 + 3*f - 3*f). -1563*f**2 Expand (-5 + 5 + 5)*(-3*q - 6*q - 6*q). -75*q Expand -2*a**4 + a**4 - a**4 + (0*a + a**4 + 0*a)*(1 + 2 - 1) + 22*a**4 - 174*a**4 + 12*a**4. -140*a**4 Expand (14*n**3 + 16 - 16)*(9*n + 11*n - 11*n) + (2 - 2 + 2)*(0*n + 0*n - 2*n**4). 122*n**4 Expand (-4*q**2 + 101*q**2 + 80*q**2)*(2 + q**3 - 2). 177*q**5 Expand (-2*i - 3*i - 1 + 3*i)*(-417*i**2 + 581*i**2 + 126*i**2 + 1515*i**2). -3610*i**3 - 1805*i**2 Expand (-222*m**2 - 245*m**2 - 183*m**2)*(-3*m + 2*m + 3*m)*(2 + 2 - 5). 1300*m**3 Expand (-2*d - 14 + 14)*(0 - 6*d + 0). 12*d**2 Expand (-5*u - 5 + 5)*(134*u - 109*u - u**3 - 123*u). 5*u**4 + 490*u**2 Expand (-12*b**3 - 15*b**3 + 4*b**3)*(3*b - 2*b - 3*b - 2)*(-5 + 10*b + 5). 460*b**5 + 460*b**4 Expand (-4*l + 2*l - 2*l)*(0*l**3 - 3*l**3 + l**3) - 32*l**4 - 2596*l**2 + 2596*l**2 - 4*l. -24*l**4 - 4*l Expand (-d + 0*d**3 + 1 + 3*d**3 - 2*d)*(4*d - 2*d - 4*d + 2*d - d + 0*d + (-2*d + 4*d - 3*d)*(0 + 2 - 4)). 3*d**4 - 3*d**2 + d Expand (-116*u**3 + 116*u**3 + 20*u**4 + (-2*u**2 + 2*u**2 - u**2)*(-3*u + 2*u**2 + 3*u) + 4*u**3 - 4*u**3 - u**4)*(u + 0 + 0). 17*u**5 Expand (-a + 5*a - 3*a)*(-51*a**2 + 34*a**2 + 27*a**2). 10*a**3 Expand (-118*g - 359 + 359)*(-1 + 6 - 3)*(1 - 2 - 1). 472*g Expand (3 + 2 - 3)*(14*h**2 - 26*h**2 + 15*h**2 - 2)*(2*h - 7*h + h + 3). -24*h**3 + 18*h**2 + 16*h - 12 Expand (4 - 2 - 4)*(67*j - 35*j + 204 - 34*j). 4*j - 408 Expand (-g + 2*g + g)*(-2 - 2 + 5) - 121*g + 242*g - 118*g - 22. 5*g - 22 Expand (0*f + 5*f - 2*f)*(-1 + 2 - 4)*((-4*f**2 - 3*f**2 + 5*f**2)*(-3*f**2 + 2*f**2 - f**2) - 56*f + 56*f - 3*f**4). -9*f**5 Expand ((3*s - 3*s + 2*s)*(1 - 2 + 0) - 3*s + 0*s + s - s - 3*s + 2*s)*(-18*s - 539*s**2 + 15*s + 524*s**2). 90*s**3 + 18*s**2 Expand (-11*c**2 + c**2 + 1 - 3 + 2*c**2 - c**2 + 0*c**2 + 0*c**2 + 5*c**2 - 4*c**2 + (-4 + 2 + 0)*(0*c - c**2 + 0*c))*(3 + 4 - 3). -24*c**2 - 8 Expand -3 - 206*l**2 + 208*l**2 - 2 + l**2 - 2*l**2 + 0*l**2 + (l - 4*l + l)*(-l - 3*l + 2*l) + 3*l + l**2 - 3*l - 3*l**2 + 3*l**2 + 2*l**2. 8*l**2 - 5 Expand 3*u**2 - u + u + (-2*u - 1 + 1)*(u + 3*u - 5*u) + 0*u**2 + 0*u**2 - u**2 + 3*u**2 + 0*u + 0*u + (u + 0*u + u)*(-4 + u + 4). 9*u**2 Expand (-4*w**4 + 2*w**4 + 0*w**4)*(-513*w - 111*w + 75*w). 1098*w**5 Expand (8 - 17*t**2 - 8)*(3 + 2*t**2 - 2 - 4). -34*t**4 + 51*t**2 Expand ((-3*v - v + 3*v)*(-2*v + 3*v - 2*v) - 18*v**2 + 0*v**2 - 5*v**2 - 7*v**2 + 0*v**2 + 4*v**2)*(-2*v**2 - v + v)*(2*v + 4*v - 3*v). 150*v**5 Expand (2*u - 5*u + 4*u)*(6*u**3 - 2*u**3 - 2*u**3) + (1489*u - 1489*u + 118*u**2)*(0*u**2 - 2*u**2 + 4*u**2). 238*u**4 Expand 3*s - 3*s - s**3 + (-4 + 1 + 1)*(-5*s**3 + 5*s**3 - s**3) - 1 + 1 + s**3 + 2*s**3 + s**3 - 2*s**3 - 21 + 48 + 4*s**3 + 4*s**2 + s - 25. 7*s**3 + 4*s**2 + s + 2 Expand (-142 + 109 + 91)*(2 - 2*c - 2)*(-4*c**4 + 0 + 0). 464*c**5 Expand (c**2 + 4*c**2 - 3*c**2 - 1)*(-1 - 2*c**2 + 1) + 5*c**4 - 4*c**4 + c**4 + (c + 2*c - 2*c)*(-c**3 + c**3 + c**3) + 6*c**4 - c**2 + c**2. 5*c**4 + 2*c**2 Expand -228*q**5 + 98*q**5 - 226*q**5 + (0 + 0 - q)*(q**3 - q**3 + q**4) + 2*q - 2*q - 2*q**5. -359*q**5 Expand (-2*d**2 - 2*d**2 - d**2)*(-69*d + 13*d - 30*d - 28*d). 570*d**3 Expand (-b - 3*b + b + (-b + 5*b - 3*b)*(2 - 2 - 1) + (-b + 2 - 2)*(1 - 3 + 0))*(6 + 0 - 2). -8*b Expand (9*o + 8*o**2 - 9*o)*(2*o + 2*o - 3*o) + (-2*o + 4*o + 0*o)*(-o**2 + 6*o**2 - 3*o**2). 12*o**3 Expand (7 + 2*t**2 - 5*t**2 + 4*t**2)*(-1 - 2 - 2). -5*t**2 - 35 Expand (-2 - 3*v + 0 - 2*v)*(-69*v + 4 + 62*v - 138*v). 725*v**2 + 270*v - 8 Expand (-14 + 2 + 2 + (1 + 3 - 2)*(-13 + 5 + 10))*(25 - 25 + 10*h). -60*h Expand (-8 + 38 + 31)*(x + 2*x + 0*x). 183*x Expand -61*t**5 - 203*t**5 + 57*t**5 + (2*t**5 + t - t)*(2 - 4 + 3). -205*t**5 Expand (-4 + 6 + 0 + 3*f)*(4 - 1 - 6 + (2 - 4 + 0)*(2 - 1 + 2) + 3 + 4 - 4). -18*f - 12 Expand (-90035 - 4*b + 90003 + 29*b)*(3 + 0 - 1). 50*b - 64 Expand (5*h + 19 - 19)*(2*h**3 - 5*h**3 + 5*h**3 + 2*h**2)*(0 + 0 + 2). 20*h**4 + 20*h**3 Expand -7 + 31*a + 7 + (3*a + 3*a + 2*a)*(-3 + 1 + 1). 23*a Expand (a + 10*a - 6*a)*(1914 - 1914 - 126*a). -6
{ "pile_set_name": "DM Mathematics" }
45*a**2*l - a**2*q - q wrt a? -24*a*l*q - 1080*a*l - 12*l*q Differentiate -114*o*s**2*z + 5*o*s*z**2 - 235*s**2*z**2 + 2*s**2 + 2*s*z**2 with respect to o. -114*s**2*z + 5*s*z**2 What is the third derivative of 7806*f**5 + 155*f**2 - 8 wrt f? 468360*f**2 Find the third derivative of 8*a**2*d*w**3 - a**2*w**2 + 23*a**2*w + 3*a*d*h*w**3 + a*d*h*w - 2*a*h*w**3 + 3*d*h - d*w wrt w. 48*a**2*d + 18*a*d*h - 12*a*h Find the second derivative of 10*m*r**3 + 8*m*r + 101*r**3 + r**2 - 42*r wrt r. 60*m*r + 606*r + 2 Find the first derivative of t*y**3 + 3*t*y**2 + 263*t + 174*y**3 + 5*y**2 + 2 wrt t. y**3 + 3*y**2 + 263 Find the second derivative of 10822*f**2 + 11911*f wrt f. 21644 What is the second derivative of -58*b**4 - 3*b**2 - 411*b wrt b? -696*b**2 - 6 Find the second derivative of 15*t**3*y**2 - t**3*y - 6*t*y + 2*t + 2*y**2 wrt y. 30*t**3 + 4 Differentiate -86*g**2*j**3 + 2*g**2 - 2*g*j**4 + 313 with respect to j. -258*g**2*j**2 - 8*g*j**3 Find the second derivative of -20*n**4*t - 3*n**4 + 2*n**3*t + 1561*n*t wrt n. -240*n**2*t - 36*n**2 + 12*n*t Find the second derivative of -668*p**4 - 2*p**2 - 34*p + 39 wrt p. -8016*p**2 - 4 What is the third derivative of -14195*z**6 + 8*z**2 + 2 wrt z? -1703400*z**3 Find the third derivative of -61*q**5*t - 4*q**4 + 18*q**2*t + q**2 - t wrt q. -3660*q**2*t - 96*q Find the third derivative of -m**4 + 1375*m**3*w**2 + 94*m**2*w**2 + 2*m*w**2 + w**2 wrt m. -24*m + 8250*w**2 What is the second derivative of -136*g**3 - 95*g? -816*g What is the third derivative of 748*i**3*k**6 + i**3*k**2 - 2*i**2*k**2 + 3*k**2 wrt k? 89760*i**3*k**3 Find the second derivative of 482*n**3 - 74*n wrt n. 2892*n Find the second derivative of -2*q**2*z**2 - 9*q**2*z + 19*q*x**2*z**2 - 9*x**2*z + 2*x**2 wrt z. -4*q**2 + 38*q*x**2 What is the derivative of 3*k**3*y + 3*k**3 + 516*k*y**3 + 246 wrt y? 3*k**3 + 1548*k*y**2 What is the first derivative of 245*m**4 - 245? 980*m**3 What is the second derivative of b**3*t**2 - 680*b**3 + 4*b*t + 242*t**2 wrt b? 6*b*t**2 - 4080*b Differentiate -332*j**4 + 143 with respect to j. -1328*j**3 Find the third derivative of -2*s**4 - 12547*s**3 - 12762*s**2 wrt s. -48*s - 75282 Find the first derivative of 2094*k**3*o - 2318*k**3 - k*o**4 wrt o. 2094*k**3 - 4*k*o**3 Find the second derivative of -f**3*h**4 + f**3*h**2 + 579*f**3*h - 2*f - 901*h**2 - h wrt h. -12*f**3*h**2 + 2*f**3 - 1802 What is the third derivative of 206*o**3 - 20*o**2 + 2? 1236 What is the second derivative of h**3*r + 2*h**3 + 55*h**2*r + h*r - 9*h + 1 wrt h? 6*h*r + 12*h + 110*r Differentiate 39*a*k**3 - 4*a*k**2 - 1423*k**3 wrt a. 39*k**3 - 4*k**2 What is the third derivative of 18*c**6 - c**3 - 14*c**2 + 6*c? 2160*c**3 - 6 Find the second derivative of -1634*v**2 - 79*v. -3268 What is the third derivative of -3*c**6 + 4*c**3 - 67*c**2 + 2 wrt c? -360*c**3 + 24 Differentiate -354*i*z + 233*z wrt i. -354*z What is the third derivative of x**2*y**3 - x**2*y**2 + 10*x**2*y - 10*x*y**4 - 4*y**3 + 3*y**2 wrt y? 6*x**2 - 240*x*y - 24 What is the derivative of 1824*k + 1841? 1824 Find the third derivative of -335*v**2*w**3 + 3*v**2*w - 4*v*w**4 + 434*v*w**2 wrt w. -2010*v**2 - 96*v*w Find the third derivative of 260*o**5 - 4*o**2 - 51. 15600*o**2 What is the third derivative of 141*m**2*p**3 - 6*m**2*p**2 - 4*m**2*p wrt p? 846*m**2 Find the second derivative of -9*t**4 + 82*t**3 - 133*t - 1. -108*t**2 + 492*t What is the second derivative of -2*m**3*p - m**3 + 71*m**2*p + 4*m**2 + 26*m*p - 77*m wrt m? -12*m*p - 6*m + 142*p + 8 What is the second derivative of c**2*j**2 - 24*c**2*j + c**2 + 1003*c*j**2 - 2*j wrt j? 2*c**2 + 2006*c What is the second derivative of 103*c**3*p**3 + c**3*p + 23*c*p**4 + 1033*p wrt p? 618*c**3*p + 276*c*p**2 What is the second derivative of 5*f**2*j**3*l**2 + 5*f**2*j**2*l + 23*f**2*l**2 - 151*j**3 wrt l? 10*f**2*j**3 + 46*f**2 What is the second derivative of -24*f*j**2*n + 4*f*j**2 + 2*f*j*n + 2*f*n + j**2*n - j*n + 33*j + 6*n wrt j? -48*f*n + 8*f + 2*n What is the third derivative of -334*b**4 + 2*b**2 + 238*b? -8016*b Differentiate -2*h**2*k*o - 1534*h**2*o - 2693*k*o with respect to k. -2*h**2*o - 2693*o What is the first derivative of a*g*y - a*y + 4*a - 6*g*y**3 + 2*g*y - 19*y**3 wrt g? a*y - 6*y**3 + 2*y What is the second derivative of -2*l**3*w**2 - l**3*w + 201*l*w**4 + 64*l*w + w**2 wrt w? -4*l**3 + 2412*l*w**2 + 2 Find the second derivative of 12*l**4 + 10*l**2 + 2*l + 6 wrt l. 144*l**2 + 20 What is the third derivative of -p**3*r + 1828*p**3 - 30*p**2 + 51*p*r wrt p? -6*r + 10968 What is the derivative of 21*a**2 - 150*a - 12736 wrt a? 42*a - 150 Differentiate -1571*b**3 + 2507 with respect to b. -4713*b**2 Find the second derivative of 38*f**3*n*q**2 + f**3*n*q + 7*f*n*q**2*s + 2*f*n*q*s + 10*f*n*q - n*q**2 + 2*n*q wrt q. 76*f**3*n + 14*f*n*s - 2*n Differentiate 55*m*v**2*z + 2*m*v**2 + 12*m*v*z - v**2*z + 8*v**2 - 13*z with respect to m. 55*v**2*z + 2*v**2 + 12*v*z Find the third derivative of -346*n*y**3 + n*y**2 - 6*n + y**4 + 19*y**2 wrt y. -2076*n + 24*y What is the third derivative of -3774*s**4 - 1566*s**2? -90576*s What is the second derivative of 3*b**2*d**2*f**2 + 4*b**2*d*f**2 - 731*b**2*f**2 + 61*b*d**2*f**2 - d*f**2 wrt d? 6*b**2*f**2 + 122*b*f**2 What is the third derivative of 340*m*t**3 - 2*m*t - t**3 + 19*t**2 - 1 wrt t? 2040*m - 6 Find the third derivative of -2*g**3*r**4 - g**3*r + 5*g**2*r**4 - g**2 + 58*g*r**2 wrt r. -48*g**3*r + 120*g**2*r Find the third derivative of 3*o**2*u*y**3 - o**2*u*y**2 + 2*o**2*y**3 + 42*o*u*y - 1175*y**3 wrt y. 18*o**2*u + 12*o**2 - 7050 What is the first derivative of -67*d*h - 309*d - 2*h wrt h? -67*d - 2 Find the second derivative of 192*w**3*z - w**3 - 30*w + 4*z wrt w. 1152*w*z - 6*w Find the first derivative of 2*q**2 - 1383*q + 639 wrt q. 4*q - 1383 Find the third derivative of 5473*x**3 + 1100*x**2 wrt x. 32838 Find the second derivative of -47*b**4*n**3 + 2*b**4*n**2 - b*n + 327*n**3 wrt b. -564*b**2*n**3 + 24*b**2*n**2 What is the second derivative of -1858*h**2 - 239*h wrt h? -3716 Find the third derivative of 225*p**3 - p**2 + 25*p wrt p. 1350 Find the second derivative of -153*c**5*d**2 - 6*c**4*d**3 - c*d**2 + 3*c*d + d**3 + 140*d**2 wrt c. -3060*c**3*d**2 - 72*c**2*d**3 Differentiate 3*j**2*q**2 + 2684*j**2 + 402*q**2 wrt q. 6*j**2*q + 804*q Find the first derivative of -2*p**3 - 17*p**2 - 20*p + 4493 wrt p. -6*p**2 - 34*p - 20 Find the second derivative of 15*i*l**2 - 271*i*l + l**4 wrt l. 30*i + 12*l**2 Differentiate -6777*o**3 - 148 wrt o. -20331*o**2 Find the first derivative of 457*n**3 + 45. 1371*n**2 Differentiate -58*m**2*q - 94*m**2 - 3*m*q wrt q. -58*m**2 - 3*m Find the second derivative of 69*k**4*n + k**4 - 4*k*n - 2*k - 14*n wrt k. 828*k**2*n + 12*k**2 Find the second derivative of -11*j**4 - 2*j**3*x*z + 2*j**2*z - 3*j*x*z + 6*j*x + 23*j + 5*x*z wrt j. -132*j**2 - 12*j*x*z + 4*z What is the second derivative of -b**4 + 34*b**3 - 7*b**2 - 57*b + 15 wrt b? -12*b**2 + 204*b - 14 Find the first derivative of 2*m**3*q**2 - 37*m**3 + 6*m**2*q**2 + q**3 wrt q. 4*m**3*q + 12*m**2*q + 3*q**2 Find the second derivative of a*m**2*o**3 + 2*a*m**2*o**2 - 5*a*m*o**3 + 3*a*o*v**2 - 6*m**2*v**2 + 2*o**3*v wrt m. 2*a*o**3 + 4*a*o**2 - 12*v**2 What is the first derivative of -21*a**3*b**2*m*r - a**3*b + 10*a**3*m - 18*a**2*b**2 + 2*b**2*m*r wrt r? -21*a**3*b**2*m + 2*b**2*m Find the second derivative of 1911*c**3*h**4 + 2*c**3 + 2*c**2*h + 7*c*h + 37*c wrt h. 22932*c**3*h**2 What is the third derivative of -18748*b**3 + 4*b**2 + b - 185 wrt b? -112488 Find the first derivative of -3*q**2 + 759*q + 1551 wrt q. -6*q + 759 Find the third derivative of -457*b**3*i - 5*b**2*i - 8*b**2 wrt b. -2742*i Find the third derivative of 257*w**4 - 4*w**3 + 17*w**2 + 7*w. 6168*w - 24 Differentiate -1849*i - 524 with respect to i. -1849 What is the second derivative of n*x**3 - 4*n*x - 173*x**4 + 3*x + 5 wrt x? 6*n*x - 2076*x**2 Find the second derivative of -406*a**2*m - 2*a + 34*m + 1 wrt a. -812*m What is the third derivative of 622*p**3 - 617*p**2 wrt p? 3732 What is the first derivative of -8*l**4 + 20? -32*l**3 What is the first derivative of 88*b**3*q + 24*b**3 - 6*b - q**3 wrt q? 88*b**3 - 3*q**2 What is the derivative of -o**4 - o
{ "pile_set_name": "DM Mathematics" }
(b) -0.212 (c) 0.5 (d) 4 (e) -0.5 (f) -3/356 d Which is the second biggest value? (a) -24 (b) -0.005538 (c) 0.032 b Which is the fourth biggest value? (a) 0 (b) 5 (c) 54/35 (d) -4 (e) 3 (f) -0.569 a What is the sixth biggest value in -5, -1658, -2/11, 5, -0.3, -3, 0.1? -5 What is the biggest value in 22, -1/161, -0.4, 0, -67/5? 22 Which is the fourth biggest value? (a) 1 (b) 0 (c) 67 (d) -0.14 (e) -0.5 (f) 322 b Which is the second smallest value? (a) 2442 (b) -1 (c) 2/3 (d) -140 b Which is the second smallest value? (a) -34934.49 (b) 16.3 (c) 5 c What is the second smallest value in -0.3, -17, -0.17, 3/5, 4106? -0.3 Which is the sixth smallest value? (a) 19 (b) 0.12 (c) 54 (d) 1 (e) -1/6 (f) 2/7 c What is the smallest value in -0.5, -0.3, 529, 0, 1.9, 1/13? -0.5 What is the second smallest value in -35656, -5, 2/9, 0.5, -0.3, 0.3? -5 What is the third smallest value in 3, 5, -5026776, 2? 3 Which is the fifth biggest value? (a) -937 (b) 0.036 (c) -2 (d) 0.5 (e) -4 a What is the sixth biggest value in 14/3, -0.5, -0.1, 7, -2/15, 5? -0.5 What is the biggest value in 2, 0.06, -4532, 0.05, 0? 2 Which is the biggest value? (a) -52 (b) -24 (c) 12 c What is the fourth smallest value in -0.029, -5, -862, 0, -4, -0.1? -0.1 Which is the biggest value? (a) 0.3 (b) -2/9 (c) 1 (d) 26.92 (e) -0.106 (f) 2/21 (g) -4 d What is the smallest value in 16, -9/5, -11, -1/4, -5, -3, 319.7? -11 Which is the biggest value? (a) -56 (b) -4 (c) 4 (d) 0.5 (e) 0.14 (f) -5 (g) -3.6 c What is the fourth smallest value in -3, 489/298, -2/5, 0.2? 489/298 What is the third smallest value in 0, -0.67, -2525995? 0 What is the third smallest value in 0.25, 2, 4/3, -5137? 4/3 Which is the fifth smallest value? (a) -0.1 (b) -12.3 (c) 0.4 (d) -4 (e) -81 c What is the smallest value in 4/9, -0.5, 3/5, 0.3, -154/6693? -0.5 What is the fourth biggest value in 2, -2.584, -2.29, -1/2? -2.584 What is the second smallest value in -1.5, -17.654, 2/3? -1.5 Which is the sixth smallest value? (a) 2/17 (b) 2 (c) -4/9 (d) -5/3 (e) -3 (f) 223 (g) 5 g What is the third biggest value in -5/3, -3, 5327/6, 1? -5/3 Which is the third biggest value? (a) -3 (b) -0.5 (c) 0 (d) -0.042 (e) 1/439 (f) 2/13 (g) -0.09 c Which is the second smallest value? (a) 0.16 (b) 15354 (c) 0.07 (d) 5 (e) -0.06 c What is the smallest value in -1, -0.195913, -13.1, -2/5? -13.1 Which is the fifth biggest value? (a) -4/7 (b) -1 (c) 51 (d) -26 (e) 6 (f) 0.2 b Which is the smallest value? (a) 4/21 (b) -72128 (c) -10 b What is the sixth biggest value in -2/11, 0.31, 6, 4, -0.5, -2/5, -1065? -0.5 Which is the biggest value? (a) -9 (b) 0.1 (c) 156 (d) 12.1 (e) -5 c What is the second biggest value in 16, -4/131, 4/3, 12/31? 4/3 What is the third biggest value in 37.227, 23.3, 3? 3 Which is the smallest value? (a) -1/6 (b) 3642868 (c) 4/11 a What is the fourth biggest value in -80, 1/5, -249, -3? -249 What is the fourth biggest value in 0.2, -32, -62703/5, -4? -62703/5 What is the second biggest value in 711, -6/145, 0.5, 3? 3 What is the smallest value in 17, 49, -19, -1/24? -19 What is the smallest value in -25531/10, -2, 1638? -25531/10 What is the fourth smallest value in -5, 40, 5, 9620/7? 9620/7 Which is the second smallest value? (a) 7 (b) -2 (c) -1/2 (d) -4609/107 (e) -2/11 b What is the fifth biggest value in -7, -0.007, 1/5, -0.1, -0.23, -5? -5 Which is the biggest value? (a) -150204 (b) 0.3 (c) -1/2 b Which is the second smallest value? (a) 16 (b) 31778/7 (c) -2/7 a What is the third smallest value in 5, -0.3, -0.5, -1, -31, 4/5? -0.5 What is the smallest value in -0.1, -4, -3/8, -1/34, -24.4, 3, -2? -24.4 What is the biggest value in 246168, 0.1, 0.25, -4? 246168 What is the third smallest value in -16/5, 2/19, -1, -7.6, 2/361? -1 What is the third biggest value in 9/4, -8/5, -3, -10382, -1, -0.1? -1 What is the smallest value in -25/157, -2/9, 2084/19, -0.4? -0.4 Which is the third smallest value? (a) -3/5 (b) -440363 (c) 17 c What is the third smallest value in 5, -1340/29, -0.4, -551? -0.4 Which is the fourth smallest value? (a) -6 (b) -0.128 (c) -4 (d) 2 (e) -3 (f) 1/7 (g) 1 b Which is the fifth smallest value? (a) -0.1 (b) -5 (c) -4 (d) -51/13 (e) 0 (f) -2/3 (g) 26/115 a Which is the fifth smallest value? (a) 3/2 (b) 12 (c) 5/126 (d) 4/7 (e) -31 (f) -1 (g) -10 d Which is the second biggest value? (a) 3 (b) 0.7 (c) -12/5 (d) 602 (e) -0.25 (f) 1 a What is the second biggest value in 245/2, 21, -1316? 21 Which is the fourth biggest value? (a) 26 (b) -187 (c) -131 (d) 0 b What is the smallest value in -237483, -0.1, -0.16? -237483 Which is the sixth biggest value? (a) -3 (b) -2 (c) -2/9 (d) 0.01 (e) 1/4 (f) -15986 f Which is the third smallest value? (a) -0.01 (b) -1/8 (c) 47 (d) 69 (e) 0.2 (f) -22 a Which is the second biggest value? (a) 4 (b) 13/22 (c) -11 (d) -3/56 (e) -0.3 (f) -2 b What is the fifth smallest value in 0, -5, 2, 5, 2.7, 0.28? 2.7 Which is the fifth smallest value? (a) -0.4 (b) 2 (c) -1 (d) 9 (e) -4/18283 (f) -3/8 b What is the biggest value in 22607, 0, 30? 22607 What is the third biggest value in -0.2, 3, 3/8, 1.1, 0.5, -5, 53? 1.1 Which is the biggest value? (a) -20 (b) 8 (c) 2/9 (d) 2/7 (e) 6 (f) 40/7 b What is the third biggest value in 23, 1782, -1, 0.035? 0.035 Which is the fifth biggest value? (a) -13 (b) -26 (c) -68 (d) 0.5 (e) 8/3 (f) 3 (g) 5 a What is the second smallest value in 7, 138, -0.3, -2/11, 1.351? -2/11 What is the fourth smallest value in 0.079, 2/19, -1, -57, -561? 0.079 What is the second smallest value in -321/706, 0.1, 100? 0.1 What is the second biggest value in 3/715, 45, 6/7, -3? 6/7 What is the biggest value in -0.063, 1/3, 40173? 40173 Which is the second biggest value? (a) 1/12 (b) -5 (c) 3/4 (d) -4 (e) -7714004 a Which is the fifth smallest value? (a) -45/11 (b) -2/17 (c) -4/7 (d) 0.1 (e) 1.4 (f) -1/4 d What is the second smallest value in -3057, -1, 289/5, 5? -1 What is the third smallest value in 5, 34, -1/253, 0, -2? 0 Which is the biggest value? (a) -41/5 (b) 6 (c) 0.1 (d) -0.4 (e) -3 b Which is the fourth smallest value? (a) 1 (b) -80/7 (c) -4 (d) 16/19 (e) 0.3 d Which is the sixth biggest value? (a) 79.2 (b) 4/5 (c) -7 (d) 0.4 (e) -1431 (f) -0.1 e What is the biggest value in -1, 25775364, 0? 25775364 What is the smallest value in -28, -2, 5, 2/9, -494, 2? -494 What is the third biggest value in 12, 2, -4, -74, 0.3, -0.1? 0.3 What is the second smallest value in 10.179, 4, 0.01312? 4 Which is the smallest value? (a) -0.72 (b) 9162/47 (c) -4 c Which is the third smallest value? (a) 48 (b) 1109108 (c) 1 b What is the third biggest value in 1/297, -7, -0.069, 0.07? -0.069 Which is the fourth biggest value? (a) 3 (b) 5 (c) -248 (d) 0 (e) 1 (f) 405.8 e What is the fourth smallest value in 182, -24, -2/27, -0.5? 182 What is the fourth biggest value in -2, -4, -4/3321, -7, 0.64? -4 What is the third biggest value in 11839, -2/7, 252, -2? -2/7 What is the fifth biggest value in -4, -1/4, 2, 1/5, -21, -3, 17245? -3 Which is the second biggest value? (a) -4 (b) 43063 (c) -0.3 (d) 1/63 (e) 2/5 e Which is the fourth biggest value? (a) -34/3 (b) -1/2 (c) -384/13 (d) -3/4 (e) 253 (f) 2/3 d Which is the smallest value? (a) -7 (b) 2/44987 (c) -110 c Which is the third biggest value? (a) -326770 (b) 4 (c) -1/7 a Which is the third smallest value? (a) -24865 (b) -0.4 (c) -40 b Which is the biggest value? (a) 0.1 (b) -5/3 (c) 4 (d) -1/162 (e) 1/2 (f) 612 f What is the second smallest value in 319/4, -1/3, 1203/26? 1203/26 What is the fifth smallest value in 0.3, 2049, 2, -5, -24972? 2049 What is the third smallest value in -356, -2/5, 1755? 1755 What is the biggest value in 190, -19/3, 4/17, 2? 190 Which is the third biggest value? (a) 23/2 (b) 0 (c) 90 (d) -12/7 (e) -2 b What is the fourth biggest value in 2/13, 2/11, 1583733.8, 1/4? 2/13 What is the second smallest value in 0.6, 13.3621, 586? 13.3621 Which is the third biggest value? (a) 0 (b) 0.2 (c) -11750990 (d) 8 a Which is the smallest value? (a) 56 (b) 1 (c) -29/4 (d) 1
{ "pile_set_name": "DM Mathematics" }
nearest to d? (a) -4/3 (b) h (c) -0.4 c Let o be (3 - 1)/(4 + -2). Let z(u) = u**3 - 2*u**2 - u - 2. Let k be z(3). Let n be 4/(-190)*(-9 + k). Which is the nearest to 0.1? (a) o (b) -3 (c) n c Let q be ((-1)/(-2))/(6/(-12)). Let k = 159/52 - 30/13. What is the nearest to q in k, -2/23, 3? -2/23 Let o(t) = t**3 + 2*t**2 - 3*t + 1. Let r be o(-3). Let c = -130 + 1948/15. What is the closest to 0.1 in r, -0.3, c? c Let w = 9 + -9.4. Which is the closest to -2? (a) -2 (b) -5 (c) w a Let l(w) = 2*w**2 + 11*w - 7. Let x be l(-6). What is the nearest to -0.3 in 1/2, 1/3, x? 1/3 Let x = 36 + -41. What is the closest to 0.2 in x, -2/11, 8? -2/11 Let h = -9 + 7. Let o = 2/9 + 5/18. What is the nearest to -2/3 in 1, h, o? o Suppose 4*j + 12 = -0*j. Let o = 75 - 76. Which is the closest to -1? (a) -2 (b) j (c) o c Let u = -2.8 + 3.1. Which is the nearest to 1/2? (a) u (b) -0.2 (c) 3 a Let k = -3 - -9. Let g(y) = -y**2 + 7*y - 3. Let h be g(k). Let l = 1360/7 - 194. Which is the closest to -2? (a) l (b) h (c) 5 a Let f = 160/3 - 53. What is the closest to 2 in f, 1, -2/7? 1 Let x = 49.1 - 49. What is the nearest to -1/2 in 0, -2/5, x? -2/5 Let x = 0.199 - -0.001. Let a be 2/7 - (-17)/(-35). What is the closest to -1 in x, a, -0.1? a Suppose i + 13 = 2*h + 4*i, -3*h - 3 = -3*i. Which is the nearest to h? (a) 2/9 (b) -5 (c) -2 a Suppose -3*i + 2*c + 41 = -4, 5*c = -15. Suppose i = -2*g + 7. What is the nearest to -1/4 in 4, 1/7, g? 1/7 Let s = -10 + 9.5. Which is the nearest to 1/4? (a) 0 (b) s (c) -0.1 a Let i = 1.3 + -1. Let v = -0.01 - -0.16. Let g = v + 0.05. What is the closest to i in 2, g, -2/5? g Let n = -8038801/88638 + 43/4029. Let a = -181/2 - n. What is the closest to 0 in a, 1, -0.2? a Let w = 40 + -41. Let s = 78720 + -7871937/100. Let h = -3/25 - s. Which is the closest to 0.1? (a) w (b) h (c) -5 b Let v = 3.61 + -0.51. Let g = 0.1 - v. Which is the nearest to 0? (a) g (b) -4 (c) 2 c Let m = 0.9 + 4.1. Let b = 1.5 - -0.5. Let z = b - 2.4. What is the closest to 0 in m, 2, z? z Let i = 0.9 - -0.1. Let o = 17 + -11. Let v = o + -5. What is the closest to v in 4, 5/2, i? i Let d = 1.2 - 0.2. Let h = -1.5 + d. Let l = -11/12 + 2/3. Which is the closest to l? (a) 2/11 (b) h (c) 1 b Let g = 346 - 346. Let w = 575/14 + -81/2. Which is the nearest to 2? (a) 1/7 (b) g (c) w c Let z = -55.4 - -55. Which is the closest to 1? (a) 1/10 (b) -3/8 (c) z a Let z be (-6)/12 - (-1)/(-2). Which is the closest to 0.1? (a) -0.08 (b) -4 (c) z a Let d = 0.14 - 0.13. What is the closest to 2/3 in 4, 5, d? d Let w = 590 + -584.89. Let i = w - 0.11. What is the nearest to 1 in -1, -2/13, i? -2/13 Let j = 19 + -19. Let h = j + -3. Which is the nearest to -2? (a) 4 (b) h (c) 1/5 b Let j(v) = 1 - v**2 - v**2 + v**2 + 6*v. Let t be j(6). Which is the nearest to t? (a) -0.5 (b) -5 (c) 5 a Let b = -1 - -0.8. What is the closest to b in -2/11, -5, 1? -2/11 Let b = 12.5 + -8.5. What is the nearest to 0 in 3, 0.1, b? 0.1 Let g = 1.37 - 0.07. Let t = g - 0.3. Let z = t - 4. What is the closest to 0 in z, -5, -2? -2 Let m = -0.27 - 1.33. What is the closest to -1/2 in 2, m, 2/7? 2/7 Let m be ((-6)/(-27))/(4/(-12) - -1). Which is the closest to m? (a) -2/3 (b) 0 (c) 5 b Let l = -31.2 - -35. Let g = -11 - -7. Let o = l + g. Which is the nearest to -1/4? (a) 2 (b) o (c) 3 b Let t(r) be the first derivative of -r**3/3 + 2*r**2 + 3*r + 3. Let h be t(5). Which is the closest to h? (a) -5 (b) 2 (c) 0.1 c Let i = -8.3 + 9. Let g = -0.3 - i. Let n be 0/2 - 2/5. What is the nearest to 0 in -0.1, n, g? -0.1 Let m be -1*2/(-6) + 4/24. Let d = 0 - 0. Let i = 2/565 + -1711/4520. Which is the closest to m? (a) i (b) d (c) 2/17 c Let x = 3.3 - 4. Let g = -0.4 - x. Which is the nearest to -1/4? (a) 1 (b) g (c) -1 b Let y be (5/((-225)/12))/((-5)/15). What is the nearest to 1 in 2, 0.4, y? y Let h = 3.1 + -3.06. Let m = -0.46 + 0.6. Let z = m - h. Which is the nearest to z? (a) -2 (b) 0 (c) -1/3 b Let q = -23/312 + -2/39. Let p = -3 - -2.9. What is the nearest to p in q, -0.4, 1/4? q Let q = -1.5 + 2.5. Which is the nearest to q? (a) 1 (b) -1/20 (c) -2/7 a Let o = -0.13 + 5.13. Let d = -0.7 - -0.6. What is the closest to 1 in o, -2, d? d Suppose 2*c + 5 + 5 = 0. Suppose k - 1 - 5 = -3*d, 2*k - 2 = -d. What is the closest to 2 in c, d, 3? d Suppose 9 = 3*y, 11 = g + 3*g + 5*y. Let i = -2 + 8. Suppose 0 = 3*h - i*h. Which is the closest to -0.1? (a) g (b) h (c) 3 b Let l = -938/13 - -72. Let q = 71 - 71.2. What is the closest to -1/2 in 2/5, l, q? q Let n = 3 - 1.9. Let l = -0.9 - n. What is the nearest to l in 5, 0.1, 4/3? 0.1 Let z = -262 + 263. Suppose 3*m = -u + 3, -u - 15 = -6*u + 2*m. Which is the nearest to z? (a) 5 (b) -2 (c) u c Suppose -4*n + 3*n = -2. Let g be 0 - 13/(-6) - n. Which is the closest to 0? (a) 0.3 (b) -0.2 (c) g c Let o = 185/8 - 23. What is the closest to -1/2 in o, -0.03, -1/4? -1/4 Let f be -3 - (-191)/72 - 2/(-9). Which is the closest to 3? (a) f (b) 0 (c) 1/6 c Suppose 5*t + q = 3 - 13, -3*q - 19 = 4*t. What is the closest to -0.1 in -0.4, 1, t? -0.4 Let t = 75/4 - 19. What is the nearest to 0.2 in 3/5, 1/2, t? 1/2 Let m be -10*9/18 + (-4)/(-1). Which is the nearest to m? (a) 4 (b) -0.5 (c) 0.3 b Let t = -46.8 - -47. What is the nearest to 2 in 0.12, 0.3, t? 0.3 Let a = -129 - -128.6. Let c = 2 - 7. Let d = -5.3 - c. What is the closest to -0.1 in a, -4, d? d Let v be (-2)/6 - 16/(-3). Let k(m) = -m**2 + 4*m + 3. Let d be k(v). Which is the nearest to 2? (a) -1/5 (b) d (c) 0.1 c Let j = -190 + 189. Which is the closest to -0.1? (a) -0.3 (b) j (c) 0.3 a Let s be (2 + 0)*(-1)/(-1). Let q = -2 - 3.1. Let p = -5 - q. Which is the nearest to p? (a) s (b) 1 (c) -1/5 c Let t be -2 - (-1)/(-3)*-3. What is the closest to 1/7 in -3, -2/3, t? -2/3 Let j = 0.1 + -0.5. Let u be 39/63 + 4/(-12). Which is the nearest to u? (a) 4 (b) -1/2 (c) j c Let y = -1.54 + 1.04. What is the nearest to 2/9 in y, 4, -6/7? y Let f = -3 - -3.4. Which is the nearest to 1/5? (a) 2/15 (b) -3 (c) f a Let c = -0.16 + -0.14. Let t = -9/10 + 2/5. What is the nearest to c in t, 4, -5? t Let m be ((-3)/(-21))/((-24)/(-28)). Which is the nearest to 2/13? (a) 1 (b) m (c) 0.5 b Let p = -14 - -14. What is the nearest to 1 in 3, p, 6/11? 6/11 Suppose l - 13 + 4 = -4*r, -2*l = 5*r - 9. Which is the nearest to -28? (a) r (b) -2 (c) -3 c Let n be (2 - -11) + -3 + 2. Let z = -11 + n. Let o = 6 - z. Which is the nearest to -0.2? (a) 0.1 (b) o (c) 1 a Let q = -0.035 - -5.035. What is the nearest to 0 in 0.6, 1, q? 0.6 Let g = 107 + -114.7. Let j = -8 - g. What is the closest to 1/3 in -1, -5, j? j Let n = 0.8 - 3.8. Let j = 0.6 + 3.4. Let h = j + n. Which is the nearest to h? (a) -0.3 (b) 0.4 (c) -3 b Let s = 30 + -30.2. Which is the closest to 11/3? (a) -1/12 (b) 0.5 (c) s b Let i = -1.5 - -1. Let n = 0.6 - 0.4. Which is the closest to 0.3? (a) 0.3 (b) n (c) i a Let x be (-15*4/(-6))/(-2). Let k = -3.2 - -3. Suppose 4*v - 3*o + 5*o + 8 = 0, -v = 4*o + 16. What is the nearest to v in k, 0, x? 0 Suppose 0 = -6*f + 11*f - 25. Let k be 3/(-10)*10/(-12). Which is the closest to k? (a) -5 (b) f (c) -2/3 c Let i be 7/15 - 8/12. Let a = -3143/2 + 1539. Let k = a - -32. What is the closest to 0 in i, k, 2/5? i Let z = 0.13 + 1.47. Let n = 1.4 + z. Let u = -3 - -1. Which is the nearest to -0.1? (a) u (b) n (c) -1/6 c Let d = -0.009 + 0.109. Let u = -117 - -821/7. Which is the nearest to u? (a) -2/13 (b) d (c) -1/5 b Let g = 5 + -2. Let q = -0.1 + 0.2. Suppose -20 = -4*b, 10*b + 13 = -2*c + 11*b. What is the nearest to q in c, -3, g? g Let v be (4/(-10))/(255/75). Which is the nearest to -1? (a) -0.3 (b) 4 (c) v a Let p be 2/6*(6 - -31). Let h = -13 + p. Which is the closest to 0? (a) 0.2 (b) 3/8 (c) h a Let s be 77/66*4/(-21). Let n = -4 + 8. Let k = n + -1. Which is the nearest to 1? (a) 0.3 (b) s (c) k a Let q = -0.028 + 0.328. Which is the nearest to 3? (a) q (b) -1/4 (c) -0.5 a Let p = 7 + -7.1. What is the nearest to -2 in p, -3/4, 4? -3/4 Let a be -4 + ((-2)/(-1) - 0). Let m = 4 + a. Suppose -2*h - 6 = -t - m, -4 = -3*h - t. What is the closest to h in -4, -0.4, 4/5? -0.4 Let q = -0
{ "pile_set_name": "DM Mathematics" }
3 - 26*f**2 - f + 32. Let p be j(26). Solve -3*z - 17 = 4*x, 3*x + 2*z - 6*z - p = 0 for x. -2 Let a = 2 - 5. Let z be 21 + -3 + a + 2. Let l be ((-2)/(-4) + 0)*(z + -9). Solve l*f = -2*n - 10, n + 0*n = -5*f - 5 for n. -5 Suppose -2652 = 4*v - 4*a, 0 = 2*v - 0*v - a + 1323. Let g be v/24*(-8)/(-5). Let u = -41 - g. Solve 0 = -b + u*x + 19, 4*b + 3*x - 26 = 5*x for b. 4 Suppose -19*f + 72 = -61. Let k be (32/f)/8 - (-31)/7. Solve -3*q + 2 = u - 1, k*u = -15 for q. 2 Suppose -10*i + 454 = 4. Suppose 48 = -37*m + i*m. Solve 5*d + 3*p = -m, -6 = 2*d - 0*p + 3*p for d. 0 Let c be (-12 + 1184/112)/(2/(-7)). Suppose -2*s = 2*s + 3*n - 20, 3*n - 22 = -c*s. Solve -s*k + k + 2 = 5*g, 0 = -3*g + 5*k + 18 for g. 1 Let d(t) = -t**2 + 16*t + 10. Let y be d(16). Suppose -y = -5*c + 2*i, 0 = -2*c - i + 4. Solve -6 = m + c*k, k = 5*k + 4 for m. -4 Suppose 1915*x - 1980*x + 130 = 0. Solve 3*j = r + 3, 14*r - 19*r + 36 = x*j for j. 3 Suppose -v = -2*o + 3, -51*v + 5 = 5*o - 56*v. Suppose -18 = -5*d - 8. Solve -2*a = s - a - o, -d*s - 4*a + 10 = 0 for s. -1 Suppose -204*c - 296 = -431 - 885. Solve -17*j + c*n - 13 = -14*j, 4*n - 8 = 0 for j. -1 Let d = 2519 + -2516. Let c be (-4 - 2/(-1))/(4/(-22)). Let a(v) = 6*v**3 - v**2 + v - 1. Let i be a(1). Solve -z = 3, -c = d*u + u + i*z for u. 1 Suppose -13 = 1229*s - 1234*s - i, 4*s - 4*i = 44. Solve -s*w = k - 7, -2*w - 5*k - 8 = -25 for w. 1 Suppose -2*c - 13 = -3*a, 0 - 3 = -a + 2*c. Let q be 3/4 + 945/420. Solve -4*z = a*s, q*z + z = 3*s for s. 0 Suppose -12*d + 15 = -7*d. Suppose 0 = -v - 4*y + 12, 0 = -3*v - 4*y - 2 + 6. Let o be (-22 + 20)/(v/6). Solve -1 = -2*x - o*m, -6*m + d*m = -3*x - 6 for x. -1 Suppose 0 = -9*y - 13*y + 5434. Let c = 274 - y. Solve -3*h - 4*o - 11 = 0, 2*h - c = -2*h + 3*o for h. 3 Let a be -10*9/(-15)*1. Suppose 0 = a*r - r. Suppose 2*k + 5*u = 6*k - 12, -k + 3*u + 3 = 0. Solve r = -4*o + k*q - 32, 2*o = -2*o + 4*q - 36 for o. -5 Suppose 20*n - 510 = -94*n + 12*n. Solve 5*y = -5*j, 7*y = -n*j + 6 - 8 for y. -1 Suppose 0 = -195*o + 101*o + 95*o - 2. Solve 8 = -q - o*d, 0*q = q - 5*d - 13 for q. -2 Let m be 8*(2/(-18))/(0 + (-7)/63). Solve -2*k + m*p - 3*p + 20 = 0, 2*k - 3*p = 12 for k. 0 Let r = 2692 + -2682. Solve -5*j = -p + r, 0*p - 10 = -5*j + 5*p for j. -3 Suppose -3*v - 12 - 3 = 0. Let b be (6 + 3 + v)*-7. Let s be ((-16)/b)/((-2)/(-7)). Solve 5*y = s*p - 19, -5*y + 3*p = 20 + 1 for y. -3 Suppose 2*j + 684*h - 1 = 683*h, 5*h + 10 = -5*j. Solve -2*d = 5*i - 5 - 3, j*i - 3*d + 12 = 0 for i. 0 Let t = 187 - 186. Let r be (t + -2)/(4*(-8)/288). Solve r = 4*x + o, 4*o - 6*o + 6 = 4*x for x. 3 Let z = -1902 + 1284. Let c = 620 + z. Solve 4*v + 33 = 5*a, 0 = -6*v + c*v - 5*a + 17 for v. -2 Suppose -39*d + 1461 - 57 = 0. Solve -4*q + d = -4*n, 2*n + 15 - 7 = 0 for q. 5 Suppose 115 = 51*f - 229 - 64. Solve -3*l + 10 = f*c, -5*l + l + 3*c = 14 for l. -2 Let r(k) = 10*k**3 - 107*k**2 + 69*k + 12. Let a be r(10). Solve -2*g - m = -4, 10 = 2*g - a*m - 0 for g. 3 Let i = -8 + -11. Let g = i + 22. Suppose 6 = g*q - 0*q. Solve 0 = q*m - k - 0 - 1, 3*m + 5 = -5*k for m. 0 Suppose 2*a + 21 = -2*x + x, 28 = -a + 3*x. Let g(p) = -p**2 - 22*p - 110. Let d be g(a). Solve -3*v - n = 0, 4*n + 1 = -4*v - d for v. 1 Let y(l) = -l**3 - 3*l**2 - 133*l + 23. Let x be y(0). Solve 0*m + 4*p - x = m, 5*m = 4*p - 35 for m. -3 Let s be -39 + (0 + -4)*1. Let b = 12 + s. Let g = b + 37. Solve 3*q - g = 2*u + 1, q = 5 for u. 4 Suppose 4*b = 20 - 68. Let o be (45/b - -4)*(4 + 4). Solve 6 = -w - 3*w + o*r, -3*r = -5*w - 6 for w. -3 Suppose 2*d = -2*d - 7*u, -4*d - 13*u = -14*u. Suppose -8*l + 4*l = 0. Let j = l - 0. Solve j = -q, d*b - 4 = 2*b + 2*q for b. -2 Let z(j) = -j + 11. Let y be z(7). Let m(w) = 2*w**2 + 77*w + 730. Let v be m(-22). Solve 0 = 4*r - 3*r + 5, v*c - y*r - 24 = 0 for c. 1 Suppose 4*n = -5*x + 102 - 904, 0 = -3*n - 4*x - 601. Let o = n - -204. Solve q - o = -k - 4, 0 = -3*q + 5*k - 17 for q. -4 Suppose -10 = -3*a + 29. Let n(o) = 5*o - 63. Let j be n(a). Let i = 2 + j. Solve -3*t = 2*u - 0*u + 4, -i*u + 5*t - 8 = 0 for u. -2 Let p be (-1)/(4 + (-34)/8). Let h be (6/(-14))/(p/(-28)). Suppose 0 = -3*l + 4*z + 71, -z + 95 = 5*l - h*z. Solve 0*c + 5*t = 3*c + 30, t + l = -4*c for c. -5 Let o be (-2)/(-2)*(0 + 0/(-2)). Let i be 2/4*4 - 15. Let n be 0 - i - o - 36/12. Solve -6 + 0 = 3*u, -4*l - 3*u - n = 0 for l. -1 Let g(y) = 12*y - 60. Let x be g(5). Let o be x/(-1*(-8 + 6)). Solve 0*f - f + 5 = o, h = f - 9 for h. -4 Let c = -135348 - -135358. Suppose -5*k + 42 = -3*k - 4*a, -k = -4*a - 29. Solve 3*l - k = 4*g, 3*g = -2 - c for l. -1 Let h be ((-80)/60)/((-1)/21). Suppose 22*c - h*c + 24 = 0. Solve -c + 2 = -2*o, -8 = 2*i - 4*o for i. -2 Suppose -8*g + 11 + 192 = 43. Solve 2*p = t - 5, 0 = -18*p + 23*p - 4*t + g for p. 0 Let i(h) = -h**2 + 34*h - 33. Let g be i(33). Solve g = 2*y - 5*c + 22, 4*y - 4*c + 3 = -17 for y. -1 Suppose n - 62 = 4*s, 156 = 3*n - 5*s + 3*s. Let l = n + -48. Solve -2*d = 3*h + 11, -l*d + 0*d = -h + 7 for d. -4 Let a = 177 + -169. Suppose g = -4*g - 2*o + a, -3*o + 12 = 5*g. Solve l = -2*x - 2, -1 = -5*x - l - g*l for x. 1 Suppose 5*x = 4*p - 23, -2*x - 382 + 378 = p. Solve h + 7 = -4*r, -p*h + 0 + 2 = 0 for r. -2 Suppose 3*b - 5 + 4 = y, 2*b = -4*y + 24. Suppose 0 = -b*q + 477 - 449. Solve 5*d - 2*f - 1 = 0, 0 = -d + 4*f - 3 + q for d. -1 Suppose 52*r - 51*r - 2*g - 13 = 0, -5*r = -2*g - 33. Solve 0 = 4*i + 12, 12*s - 16*s + r*i + 27 = 0 for s. 3 Let c be 36/(-450) + (-52)/(-25). Suppose 0 = 5*f - 3*d - 4, -5*f + c*d + 16 = 5*d. Let j = -5 + 8. Solve -j*t - 5 = 10, -2*r - 20 = f*t for r. -5 Let p(w) = -57*w + 6270. Let s be p(110). Solve s = -5*q + 30, a - 3*q + 7 + 16 = 0 for a. -5 Suppose -977*i = 2*l - 982*i - 4, 2*l + 3*i - 4 = 0. Solve 3*j - x - 16 = 0, 81*j - 13 = 78*j - l*x for j. 5 Let s = 9155 + -9155. Solve 5*l - 3*f - 6 = s, 5*l + 2*f + 4 = 3*l for l. 0 Let f be 50/(-18) - (-8)/(-36). Let d be f/(6/5)*48/60. Let h be (-4)/3*6/d. Solve k - 2*o = -4*o + 3, k - 9 = -h*o for k. -3 Let r = 8339 + -8336. Solve r*k = 3*q + 9, 5*q - 13*k = -9*k - 11 for q. 1 Suppose 42 = 56*c - 139 - 43. Solve -4*d - 6*k + c*k = -16, -4*k - 3 = d for d. 5 Suppose -204*v = -208*v + l + 6, 4*v - 10 = -l. Solve -29 + 9 = -5*h, -4*u - v*h - 12 = 0 for u. -5 Let p be 32/6 - (8 + 23/(-3)). Suppose -p = -m + 2*w + 31, 4*m - 89 = -3*w. Solve 12 = -3*j + 3*d, -6*j + j - m = d for j. -5 Let i = -2509 - -2514. Solve 14 - i = 8*d - 3*a, 0 = -3*d - 5*a - 15 for d. 0 Let l = -26 - -23. Let x be 8/6 + (-8)/l. Suppose 2*t = n + n - 20, -n = -3*t - 20. Solve -u = -x*d - 17, -2*d = 2*u - n*u + 21 for d. -3 Suppose 0*z = 2*z - 8. Let m = -8005 + 8007. Solve -3*b = -m*p + z, 2*p - 8 = 8*b - 3*b for b. -2 Let j(t) = 3*t**2 - 8*t - 21. Let f be j(-2). Suppose -25 = 5*k, 6*g + 2 = f*g + 4*k. Solve -g = 2*u - 4*z, 5*u - z + 25 = 3*z for u. -1 Let f = 9 - 6. Let w = 109979 + -109975. Solve 0 = f*u - 6, -4*u = w*k - 9*k - 28 for k. -4 Let f be (2 + -5 - -3)/3 - -3. Solve 0 = -j + f, 35 = 4*z - 0*j + 5*j for z. 5 Let j(r) = -52*r - 1247. Let s be j(-24). Solve -11*m + 6*m - 2 = 2*w, w + s = 0 for m. 0 Let h(d) be the second derivative of 2*d**3/3 + 19*d**2/2 - 174*d. Let b be h(-3). Solve 2*p = -0*p - 3*i + 19, -b = -p - i for p. 2 Let z = 197091 - 197081. Suppose -4*c = -2*c. Let o(x) = 5*x**3 - 1. Let v be o(1). Solve p = -0*d + v*d + 19, c = -5*p - d - z for p. -1 Let r be (36/(-45))/((-4)/(-30)). Let t be (-16)/(-6)*(r - 45/(-6)). Solve 4*j = -8, 0 = -t*c - j + 3*j - 12 for c. -4 Let k = -62 + 71. Suppose -4*z - k*z + 572 = 0. Suppose 36 = 2*c - 4*n, c - 4*n = 4*c - z. Solve -3*s + 4*x = -c, -2*s + 5*x - 11 = -6*s for s. 4 Suppose 32 = -x + 3*d, 4 = x - 2*d + 31. Let y = 23 + x. Solve 3*o + 6 = 0, -y*p - 4*o - 12 = -5*p for p. -4 Suppose 0 = -2742*g + 2740*g + 10. Solve -5*r - 10 = 5*h, 13 = -4*r - h + g for r. -2 Suppose -1829*u + 1783*u = -92. Solve -4*f - 28*h + 26*h - 12 = 0, h + u = 0 for f. -2 Suppose 96*p = -372 + 1524. Solve -5*c + 20 + p = -4*y, -3*c = y - 9 for c. 4 Let c(y) = 9*y**2 + 86*y - 18. Let i be c(-10). Suppose -21*z + 8 = 2*s - i*z, -z - 10 = -3*s. Solve -p - 4*n = -17, p + 3*n - s*n - 5 = 0 for p. 1 Suppose 28540*v - 28530*v - 50 = 0. Let k = 53 - 31. Solve -v*a = u - k, 0*u - u + 18 = 4*
{ "pile_set_name": "DM Mathematics" }
-2227. Solve -h + 0*m - m = n, -m = -h for h. -2 Suppose -2*y + 0 = m - 8, 5*y = -4*m + 20. Suppose 0 = 3*k - m - 12. Solve 5*j - 28 = k*u - 2, 3*j + 2*u = -2 for j. 2 Let f(s) = s**3 - 18*s**2 + 18*s - 18. Let h be f(17). Let r(c) = -5*c**3 - 3*c**2 - 4*c - 2. Let m be r(h). Solve -4*t - d + 2 = 0, 2*d - 5*d = m*t + 2 for t. 1 Let p(y) = -y**2 + 5*y - 4. Let w be p(5). Let i be (-14)/28 - 18/w. Solve 0*g - 7 = -i*g - 5*l, -5*l = -2*g + 11 for g. 3 Let t be (-1)/2*0/(-4 - 0). Suppose 2*r + 2*b - 3*b - 5 = 0, 4*r + 5*b = 31. Solve 4*l = -n + 4, t = -n - 2*l + l + r for n. 4 Suppose d - 3 = -2*y + 3, y = -4*d - 11. Let f be 39/3*(3 + -2). Solve 4*j = 3*b - 23, -3*b + y*j + f = 6*j for b. 5 Suppose -7*o + 58 = -68. Suppose o = -6*n + 390. Suppose -4*p + n = -58. Solve 25 = -a + 6*a, -5*a + p = -5*b for b. -1 Suppose -3*l - 20 = -7*l. Suppose l*y - o - 21 = 0, 0*y + 5*o + 1 = -y. Solve 0 = -y*h + 3*p + 1, -h - 3*p + 8 - 4 = 0 for h. 1 Suppose 0 = 3*x - 39 - 6. Let v be 31 - (-6 + 1)*(-9)/x. Solve -3*p - w = 3*w - v, -5*w = -5*p for p. 4 Suppose 0 = -11*p + 13*p - 12. Suppose -10*h + 32 = -p*h. Solve -v - h = -3*l, -l - v + 7 = 3 for l. 3 Suppose n + 3*n = -2*s - 2, 4*s + n = 17. Suppose -9 = -x - 4*c, -8 = -s*x - 2*c + 1. Let m = 10 - x. Solve -4*w - 3*j - 12 = -5*j, 0 = 3*w + j + m for w. -3 Let z be -2*(0 + -2 + (-17 - -7)). Solve -3*u + 5*n = z, -4*u + 5*u = 4*n - 15 for u. -3 Let h(k) = -k**3 + 10*k + 15. Let s be h(-2). Solve -5*d - r - 15 = 7, -d + s*r = 14 for d. -5 Suppose 5*k - 4*d - 24 = 0, 0 = -3*k - 17*d + 15*d + 10. Solve -k*a = -4*x + 20, 0 = 5*a + 4 + 11 for x. 2 Let q(c) = 4*c**3 - c**2 - 2*c. Let x(m) = -2*m**3 + m. Let d(j) = -2*q(j) - 5*x(j). Let l be d(1). Solve 0 = -5*s + p - 2*p - 3, 5*p = -l*s + 7 for s. -1 Let n(m) = m**3 + 5*m**2 + 6*m - 1. Let r be n(-3). Let d be r/4 - (-30)/24. Solve -3 = 4*x - 2*f - f, d = f for x. 0 Let q = -146 - -154. Suppose -f = 3*o + q + 3, 0 = 4*o + 20. Solve -2*l = 3*c - 7*l - 19, -4*c - f*l - 28 = 0 for c. -2 Let v = 14 - 8. Let m(k) = k**2 - 7*k + 6. Let p be m(6). Suppose -h + 3*h = p. Solve 2*f - v = y, 5*f - 14 = -h*y + 3*y for f. 4 Let d(a) = 4*a + 53. Let v be d(-12). Solve v = -3*u + s, -5*u + 3*s - 3 = -0*s for u. -3 Suppose 2*w + 1 - 3 = 0. Let l be (0 + -1)*(5 - 1). Let j be (12/(-3) - l)/w. Solve 0*g + 3 = -g - 2*b, -3*g + 2*b + 23 = j for g. 5 Let c = 1 - -3. Let q = 0 + 3. Let h be q/1 - 190/(-10). Solve -c*n = 5*u - h, -u - 2*n + 11 = n for u. 2 Let h = 179 - 174. Solve 2*f = 3*f + h, 0 = 3*q - f - 17 for q. 4 Let l(i) = i + 12. Let s(w) = -w**2 + 6*w + 9. Let o be s(-2). Let h be l(o). Solve -2*c + 5*t = 16, -h*c - 2 = t - 4*t for c. 2 Let h(g) = g**3 - 6*g**2 - 4*g - 16. Let y be h(7). Suppose y*t - 16 = -6. Solve -2*o + 0*l - t*l = 10, -3*l = 0 for o. -5 Let n(p) = 5*p**3 - 2*p**2 - 2*p + 2. Let d be n(2). Suppose 0 = -36*c + d*c + 168. Solve -w - 4*w = 2*f + c, -f = 4*w + 20 for f. -4 Let g = -20 - -23. Suppose 0 = 5*s - 7 - g. Solve -2*j - 3*j + 3 = -s*h, -h + 3*j - 1 = 0 for h. -4 Let k be 4/8 - 37/(-2). Suppose -k*n + 22*n - 9 = 0. Solve 0 = 2*g - 10, -n*b - 3*g + 6*g - 12 = 0 for b. 1 Suppose 430 = -6*w + 46. Let j = 82 + w. Solve -4*i = -n + j, 3*i + 2 = 2*n - 9 for n. -2 Suppose 21*h - 170 = 271. Solve -x - x = 5*v - h, x + 2*v = 8 for x. -2 Suppose 45*b - 48*b - 9 = -5*k, b - 2 = 0. Solve -u - 5 + k = -i, u - 6 = 5*i for u. -4 Suppose -3 = -3*t, -3*t + 0 + 5 = r. Suppose 27 = 4*i + 4*p - 7*p, -r*i - 2*p - 4 = 0. Solve -w - 3*m + 2*m = -i, 0 = 3*w - m - 1 for w. 1 Let r = 67 - 63. Suppose 3*x = -2*x + 20. Solve -3*h + w = -x*h + r, 2*h = -4*w + 18 for h. -1 Let d(v) = -v**3 + 14*v**2 - 16*v. Let n be d(13). Let q be (-3)/((-27)/(-24))*n/4. Solve 5*a - 5*i + 2 = -3, 4*a + 2*i - q = 0 for a. 4 Let m(a) = a**3 - 5*a**2 + 2. Let b be m(5). Let x = -18 - -23. Suppose 0 = x*l - 147 + 87. Solve l = 2*z + 5*q, 5*q = -b*z + 4*q - 4 for z. -4 Suppose 36*d - 619 = -79. Solve -20 = -5*h + 5*q, -q - 2*q = d for h. -1 Let d be (-2 - -2) + -1 - -26. Let k be -30*((-10)/(-4) + -3). Suppose 2*h - k = -h. Solve 0*o - 5*t = -4*o + d, 25 = -h*t for o. 0 Suppose 0 = -28*d - 5*d + 66. Solve d*b + 7 = -2*z - 5, 0 = -5*b + 3*z - 14 for b. -4 Let m(o) = -2*o + 4. Let v be m(4). Let l be 5 - 4*(v - -3). Let q be ((-9)/(-2))/(-3)*-2. Solve -q*d = -4*n - d + 6, n - l = 3*d for n. 0 Suppose -m + 1 = 0, x - 3*m - m - 12 = 0. Suppose -k - 3*j + x = 0, 2*k - 3*j + 4 = -0*k. Let h = 737 + -731. Solve -h*c = 3*n - 3*c, 2 = -3*n - k*c for n. 2 Suppose 4*o - 3*o + 6 = -2*i, -3*i = 4*o - 1. Suppose -2*d + o*x = -d - 32, 0 = 5*d + 5*x - 110. Solve 4*f = 4*y + 20, 2*y = -5*f + d + 1 for f. 5 Let x be 2/(-3) + (-272)/(-48). Let m be (9/3 - x) + 8. Solve -j = 2*u + 1, -5*j = -2*u + m*u + 17 for u. 2 Let v be 114/76 + (-3)/2. Solve -4*c + 8 = 2*g - v, -24 = -5*c + g for c. 4 Let f(r) = r**3 - 5*r**2 - 35*r + 152. Let l be f(7). Solve 31 = -4*x - x + 2*z, 2*x - 5 = -l*z for x. -5 Let x be 1*(1 + 0 - 0)*10. Suppose x*q = 4*q + 24. Suppose 3*o = -0 + 6. Solve -13 - 15 = q*w - 4*n, -4*n - o = 2*w for w. -5 Let i(z) = -z**2 + 11*z + 2. Let t be i(11). Suppose 0 = 5*j + t*b - 18, -3*j - 2*b + 22 = 2*b. Solve -4*v = 3*u + 10, -3*v + j*u - 20 = v for v. -4 Suppose -1565*l = -1570*l - 90. Let b = -14 - 8. Let x = l - b. Solve 2*w + 8 = -y, y + x*w - 2 = -16 for y. -2 Suppose 2*q - 78 = -5*z + 78, 0 = -5*z. Let x = q + -53. Let f be (21/(-6))/7*0. Solve -2*g - x = 5*a, f = -g - 2*a - 1 - 10 for g. -5 Let g = 1632 - 1630. Solve 0 = 4*o - a - 11, 4*o + a = -g*a + 15 for o. 3 Let j be (4/3 - -1)*6. Solve y - 5 = -u, 3*u + 4*y - 1 = j for u. 5 Suppose -5*j + 8*j = 3*n - 9, j + 3*n = 17. Solve d = -4*x + 1, -5*d - x + 22 = j*x for d. 5 Let j(h) = h**3 + 18*h**2 + 16*h - 5. Let p be j(-17). Suppose 11*o - 7*o = p. Suppose y - 4 = -0*y. Solve 3*g - 6*g = 3*n + o, y*g + 3*n + 6 = 0 for g. -3 Let k(q) = 2*q + 0*q - 3 - q - 2*q. Let c be k(-6). Suppose 14 + 0 = 4*l + c*v, 0 = l + 2*v - 1. Solve -o + 16 + 1 = -5*g, 0 = g - 3*o - l for g. -4 Suppose -3*m + 9 = -0*v + 3*v, 3*m - 17 = v. Let c be (4*3)/4 - 14. Let u = 3 - c. Solve 2*l = -5*h + 2, -u = h + m*l + 4 for h. 2 Let z = 3 + 0. Let p be -2 + 10 - 9/z. Suppose 3*s + p*o = 4*s - 26, -3*o = s + 6. Solve -s = -3*l - 2*k, -5*l + 11 = 4*k - k for l. 4 Let u be (-3)/(-12)*36/63*7. Solve -3*x = o - 4, 0 = -3*o + 2 + u for x. 1 Let p = -17 - -10. Let z be 8 - (p + 2 - -2). Suppose z*g - 25 = 6*g. Solve r + 8 = 2*i, -5*r - 18 + g = -i for r. -2 Let c(a) = 9*a - 13. Let y be c(2). Solve 5*o = 3*g, 0*g + y*o = 5*g for g. 0 Suppose -42 = l + 10. Let p = -50 - l. Solve 0 = -5*m + p*j - 19, 5*j - 5 = -20 for m. -5 Let o(a) = -6*a - 21. Let c be o(-5). Let s = c - 4. Suppose s*b - j - 2 + 1 = 0, 0 = 5*b + j + 1. Solve -3*k = 3*m + 15, -2*k + b*k = 4*m + 18 for k. -1 Suppose -2*f = -12 - 22. Let r = -2 + 2. Let h be (-2 + 2)/(-2) - r. Solve h = -4*o + 5*w - f, -w = 3*o + 2*o + 14 for o. -3 Let i = -162 - -310. Let h = i - 148. Solve 2*k - 4 = 3*v - 7, h = 4*v - k - 9 for v. 3 Let w be 9*(1 + 2/3). Suppose -20*j + 2*j + 306 = 0. Let t = j - w. Solve 3*u + 15 = u + 5*k, 0 = -t*u + 4*k - 10 for u. 5 Let o be 1/2*(7 + 9 - 4). Solve -4*c + 1 = -5*m, 0 = 4*m + 3*c - c + o for m. -1 Let p(d) = -d + 4. Let w be p(2). Suppose 0 = 3*t - w - 4. Let a be (1 + t)*28/6. Solve -22 = 4*l - l + 5*q, a = -5*l + 3*q for l. -4 Suppose -109 = 2*p - b - 112, -p = 5*b - 18. Solve -4*x - p + 21 = -2*w, -2*x = -2*w - 12 for w. -3 Let y(d) be the third derivative of d**4/8 + d**3/2 - 16*d**2. Let i be y(-1). Solve -3*j = 7*t - 3*t - 25, -2*t + 4*j - 4 = i for t. 4 Let k be 6/(-3)*(-5)/10*2. Let a be (-84)/(-18) - (-2)/6. Solve 2*c + a*v - 2 = 0, 0 = 3*c - k*c - v + 6 for c. -4 Let z(i) = i**2 - 7*i. Let m be z(8). Suppose -4*o + m*o = 0. Suppose 37 = 5*c + 7. Solve -3*a - v - c = o, -3*v = -2*v for a. -2 Let j = 1292 - 1279. Solve -4*c - 2*a = -j + 1, -c + a + 6 = 0 for c. 4 Suppose 0 = 5*r + p - 10, -r - 2*p - 3*p = 22. Let s be (-11 - -21)*(-6)/(-4). Solve -4*v = -3*f + s, r*v - f + 13 = 3*f for v. -3 Let h(f) = 3*f**3 - 7*f**2 - 15*f. Let s be h(4). Solve -3*x - 5 = 2*d + 3*d, -4*x = -s for d. -4 Let n be -16*3*(1 + -2). Suppose -5*q + 4*t + n = t, -5*q + 43 = 2*t. Solve 3*p = 3*g + 18, g - 2*p + q = -0*g for
{ "pile_set_name": "DM Mathematics" }
-99 and -1.01. 99.99 Calculate -1*0.068. -0.068 What is -0.1 times 0.13? -0.013 Multiply 2 and -4.9. -9.8 Calculate -1290*-0.2. 258 14 * -11 -154 Work out 0.08 * 15. 1.2 -0.07 times 2.139 -0.14973 Calculate 391*-0.05. -19.55 0.3*2843 852.9 Calculate 0.06*28. 1.68 Product of 5 and -69. -345 Product of -0.38 and 3. -1.14 -29*15 -435 Calculate -0.1*32. -3.2 -14.603 * -0.4 5.8412 Calculate -0.5*2.97. -1.485 11.4 times -1 -11.4 Product of -26 and 1. -26 Multiply 1 and -21.5. -21.5 -0.3*0.0519 -0.01557 What is 56 times -4? -224 What is the product of -2642 and 0? 0 -2 * -55 110 -212.7*-12 2552.4 Work out -281 * 0.4. -112.4 10*0.1071 1.071 Product of 0.4 and 64. 25.6 What is 63 times -0.5? -31.5 What is 35 times -4.9? -171.5 0.8 times -1331 -1064.8 Calculate 598*-0.2. -119.6 What is 0.2 times 88? 17.6 -2 times -158 316 -138*0.65 -89.7 What is 19 times -1? -19 Product of 46 and -54. -2484 Calculate 7*-0.8. -5.6 4 times -0.07213 -0.28852 What is the product of 22 and -427? -9394 Product of -8.88 and 5. -44.4 Product of -1710 and 0.3. -513 Calculate -20*18. -360 3.5 times -4 -14 Calculate 0.01733*-0.1. -0.001733 Multiply 25 and -0.02. -0.5 Product of -61 and 0.02. -1.22 -1*-4.1 4.1 Work out -0.149 * 0.1. -0.0149 0.01 * 927 9.27 What is the product of -0.05 and 0.75? -0.0375 5 times -183 -915 What is -0.24 times 32? -7.68 Calculate -0.2*1.714. -0.3428 0.5 * 4935 2467.5 4 times 14 56 Calculate -1*-1626. 1626 What is 0.2 times -18.3? -3.66 What is -2.6 times -139? 361.4 What is the product of 0 and 72? 0 Product of -25.1 and -1.1. 27.61 37.3 times -1.7 -63.41 -131*0 0 Work out 1.05 * -1. -1.05 Calculate 74*-151. -11174 Multiply 10 and -0.86. -8.6 Product of 0.341 and 3. 1.023 -184.9 * 0.3 -55.47 Work out 0.0324 * -0.5. -0.0162 What is the product of -60 and -0.5? 30 4 * 559 2236 Multiply -7 and 213. -1491 What is the product of 21.2 and -1? -21.2 2 * -0.27 -0.54 Product of 97 and -0.2. -19.4 -0.0446 times 5 -0.223 Product of 1 and 82.3. 82.3 Calculate 3.5*-1.4. -4.9 -39 * 4 -156 -0.1*4.5 -0.45 -17 * -0.024 0.408 Calculate -0.4*1.56. -0.624 Work out 2149 * 3. 6447 What is 4.9 times -6.8? -33.32 Calculate -0.489*0.1. -0.0489 88.3 times 0.4 35.32 Multiply -0.1 and -0.08. 0.008 67 * -1 -67 29 times -1.6 -46.4 Multiply 4349 and 5. 21745 Work out -2 * 22.1. -44.2 -0.05 * -8 0.4 What is -106 times 0.054? -5.724 2.1 * -116 -243.6 Calculate 1.6*-537. -859.2 What is 22021 times -0.5? -11010.5 -4*39 -156 Work out -41 * 625. -25625 What is the product of 45 and 0.4? 18 1*-60 -60 What is the product of 6592 and -1? -6592 0.763*0.3 0.2289 Work out 0.059 * 37. 2.183 Work out 2 * -30. -60 -21 times 3.4 -71.4 5 * 412 2060 Multiply 2.8 and 11.5. 32.2 -0.2*6.78 -1.356 Work out 5 * -70. -350 Multiply 0.9 and 9.37. 8.433 Multiply -13 and 0.2. -2.6 Product of 0.1 and -1.88. -0.188 -0.05 times 61 -3.05 -139 times 0.003 -0.417 Product of 0.015 and 6. 0.09 Calculate 0.5*-255. -127.5 Multiply 25 and 0.3. 7.5 -572*0.14 -80.08 Work out 2 * 91. 182 Work out -0.4 * 45.4. -18.16 Multiply 10.3 and 0.6. 6.18 Product of 331 and -84. -27804 What is -0.5 times -0.56? 0.28 -442 * 0.17 -75.14 Product of -19 and -7. 133 Calculate -867*-0.09. 78.03 Multiply -1583 and 0.3. -474.9 Work out -709 * -0.04. 28.36 -1630 * -2 3260 5 * 0.058 0.29 What is the product of 16 and 0.105? 1.68 Work out 12121 * 3. 36363 Multiply 0.3 and -731. -219.3 Work out 3 * -9.6. -28.8 5 times -48 -240 What is the product of 3 and -875? -2625 -0.09 times -0.3 0.027 Calculate 0.4*83. 33.2 Product of 10.051 and -0.3. -3.0153 What is the product of 158 and 0.1? 15.8 0.019 * -3 -0.057 What is the product of 16 and -14? -224 2.84 times 5 14.2 5 * 1394 6970 7*-0.46 -3.22 Multiply -3 and 1141. -3423 Calculate 165.6*3. 496.8 Multiply 7344 and 0.5. 3672 5 times 657 3285 What is 0 times 32? 0 Product of -1.12 and -5. 5.6 What is the product of -1.5 and 42? -63 Multiply -21 and -1. 21 Multiply -1.03 and 1. -1.03 What is -127 times 2? -254 Calculate -0.93*-0.5. 0.465 Work out -0.1 * 2613. -261.3 What is 1199 times -2? -2398 Product of -1.9 and -851. 1616.9 Calculate 0.01707*2. 0.03414 -0.0462 times 0.5 -0.0231 What is the product of 1.7 and -5? -8.5 What is the product of 0 and 130? 0 What is the product of -0.2 and -162? 32.4 What is the product of -71 and 2? -142 What is 2.42 times 0.4? 0.968 What is 4 times -35.62? -142.48 Product of 4 and 44. 176 What is 2 times 4.1? 8.2 What is the product of 6 and 3? 18 -0.06*138 -8.28 What is 2 times 2418? 4836 320 * 0.5 160 -53*3 -159 0.3 * 0.0201 0.00603 35772 * -5 -178860 0.06 times 12 0.72 What is 33.4 times 3? 100.2 What is 4853 times 2? 9706 Product of 12 and 7.66. 91.92 What is the product of 5383.3 and 0.2? 1076.66 -0.036*-0.5 0.018 Work out -15 * -239. 3585 What is -0.3 times -1110? 333 Calculate -1*11.55. -11.55 Work out -0.5 * 0.458. -0.229 0.4*152 60.8 What is 5 times -27.49? -137.45 Product of 0.4 and 1.4. 0.56 What is 5.09 times -0.3? -1.527 Work out -485 * -0.5. 242.5 4 times -0.04 -0.16 Work out -104 * 0.1. -10.4 Work out 2 * -0.017. -0.034 What is the product of -0.01 and -5? 0.05 Product of 0.3 and -4.6. -1.38 Product of -3 and 2. -6 Calculate -0.04*0.21. -0.0084 Product of 7058 and 4. 28232 0.1 * -144 -14.4 -0.08 times -0.9 0.072 Product of 5 and 0.103. 0.515 Work out -0.1 * 580. -58 2426 times -0.01 -24.26 What is -206 times 0.2? -41.2 Calculate -0.86*100. -86 What is 560 times 5? 2800 -9 * 0.94 -8.46 What is 2006 times -5? -10030 Product of -0.1 and -4.5. 0.45 What is 0.2 times -0.019? -0.0038 Multiply -0.155 and 0.2. -0.031 Multiply -13.2 and -3. 39.6 -3 times 19.66 -58.98 Work out -0.043 * 240. -10.32 -0.024*-0.4 0.0096 Multiply 0.4 and 0.84. 0.336 What is the product of 0 and 577.9? 0 Multiply 0.931 and 0.09. 0.08379 Multiply -6 and 1.4. -8.4 Calculate 57*0.101. 5.757 383.3 * -0.04 -15.332 Multiply 47.31 and 2. 94.62 What is the product of 0 and 40? 0 -194.1*0.2 -38.82 Work out -1347 * 0.2. -269.4 Work out -4 * 10.59. -42.36 What is the product of 1 and -107? -107 Calculate -1025*3. -3075 Calculate 0.009*-0.025. -0.000225 28.2*39 1099.8 What is -1.524 times 5? -7.62 -486*-0.3 145.8 0 times -0.1258 0 What is the product of -11 and -0.5? 5.5 Product of -0.239 and -2. 0.478 12 times -1.22 -14.64 -10262 times -1 10262 Work out 0.04 * -544. -21.76 What is the product of -3 and -26? 78 -2.97 * -0.5 1.485 Multiply 0.2 and -3966. -793.2 What is 234 times 0.2? 46.8 -0.01 * 132 -1.32 -163 times -0.1 16.3 Work out -0.2 * -6.13. 1.226 What is -0.5 times 1.17? -0.585 Multiply 0.3 and -0.126. -0.0378 Multiply 68 and -12. -816 -0.05568 * 0.05 -0.002784 Multiply -43.41 and -6. 260.46 What is the product of 0.1 and 131? 13.1 What is 1.44 times 0.1? 0.144 Product of 0.319 and -50. -15.95 -1 times -0.4153 0.4153 Multiply -3 and -0.06. 0.18 Multiply 0.1 and -0.56. -0.056 2181 * -0.1 -218.1 -0.0604 * 60 -3.624 0.2 * -363.3 -72.66 1.2*-3.3 -3.96 What is 0.065 times 0.026? 0.00169 Multiply -16 and 0.2. -3.2 Multiply -0.96 and -0.014. 0.01344 What is the product of -10.4 and 2? -20.8 87*-0.3 -26.1 Product of -4 and -0.829. 3.316 0.8 * -0.09 -0.072 Product of -0.4 and -76. 30.4 What is the product of 0.1 and 0.0352? 0.00352 What is -494 times -0.5? 247 What is the product of 2 and 89? 178 Product of -0.2 and -189. 37.8 What is the product of 0.3 and 861? 258.3 What is 969 times 3? 2907 What is -0.07 times -0.1278? 0.008946 What is -35 times 49? -1715 Product of -0.23456 and -4. 0.93824 Calculate -2.28*-1.7. 3.876 Calculate -1.9*-0.14. 0.266 0.2 times 39 7.8 What is the product of 4 and -0.395? -1.58 -0.2*148.4 -29.68 Multiply -5 and -54. 270 -8.29 times 4 -33.16 What is the product of 3 and 676? 2028 -5 * -0.2029 1.0145 Product of 26.7 and -6. -160.2 -3.1 times -0.11 0.341 0.02*-19 -0.38 Product of -4 and -0.97. 3.88 What is -3 times 1.05? -3.15 Calculate -35*-3. 105 182*5 910 Work out 84 * 5. 420 0.2 * 6 1.2 What is 401 times 0.4? 160.4 Product of 2 and 117. 234 0.1 times -1018 -101.8 Work out -5 * -3.07. 15.35 Product of 560 and 0. 0 -29.06*0.4 -11.624 0 * -2.9 0 Product of -5 and -3. 15 Multiply -7 and -0.1949. 1.3643 What is 9 times -4? -36 0.01 * 7 0.07 -0.02 * 2 -0.04 Multiply -0.4 and 676. -270.4 Work out 0.094 * -2. -0.188 14 * 33 462 What is -0.2 times -187? 37.4 Product of 3 and
{ "pile_set_name": "DM Mathematics" }
s digit of 90105952? 9 What is the tens digit of 140995820? 2 What is the hundred millions digit of 1635670619? 6 What is the units digit of 44483125? 5 What is the ten thousands digit of 869804498? 0 What is the ten thousands digit of 165901288? 0 What is the hundred millions digit of 157947473? 1 What is the ten thousands digit of 1224144869? 4 What is the units digit of 92035266? 6 What is the ten thousands digit of 2023857? 2 What is the millions digit of 25242573? 5 What is the ten thousands digit of 122547072? 4 What is the units digit of 14850233? 3 What is the ten thousands digit of 5745172352? 7 What is the thousands digit of 676109281? 9 What is the ten millions digit of 360655237? 6 What is the ten millions digit of 118744859? 1 What is the hundred millions digit of 483352980? 4 What is the ten millions digit of 211170238? 1 What is the hundreds digit of 392851557? 5 What is the hundreds digit of 112017152? 1 What is the thousands digit of 81544338? 4 What is the units digit of 69998796? 6 What is the hundreds digit of 138365785? 7 What is the hundred millions digit of 970427874? 9 What is the ten thousands digit of 31801710? 0 What is the millions digit of 485870246? 5 What is the tens digit of 39352075? 7 What is the hundreds digit of 720888368? 3 What is the hundreds digit of 20830091? 0 What is the units digit of 20512727? 7 What is the thousands digit of 1981916? 1 What is the thousands digit of 88273191? 3 What is the hundred thousands digit of 2367521617? 5 What is the hundreds digit of 710137253? 2 What is the hundred thousands digit of 16759199? 7 What is the millions digit of 58504378? 8 What is the hundred millions digit of 2028423115? 0 What is the ten millions digit of 59449111? 5 What is the hundred thousands digit of 301820165? 8 What is the ten thousands digit of 109576586? 7 What is the ten thousands digit of 3354369? 5 What is the thousands digit of 226060848? 0 What is the ten thousands digit of 1044507291? 0 What is the millions digit of 5665427226? 5 What is the ten millions digit of 199494320? 9 What is the hundreds digit of 41724063? 0 What is the ten thousands digit of 1904770477? 7 What is the thousands digit of 95671762? 1 What is the hundred thousands digit of 115418735? 4 What is the hundreds digit of 37106841? 8 What is the tens digit of 251269390? 9 What is the tens digit of 98547522? 2 What is the millions digit of 288689257? 8 What is the hundred millions digit of 1443319029? 4 What is the hundred thousands digit of 61390381? 3 What is the hundreds digit of 209890911? 9 What is the ten millions digit of 4995832537? 9 What is the units digit of 4119348726? 6 What is the thousands digit of 50728533? 8 What is the ten thousands digit of 375764315? 6 What is the ten millions digit of 1917071229? 1 What is the ten thousands digit of 388287544? 8 What is the hundred thousands digit of 166696002? 6 What is the billions digit of 1762421147? 1 What is the hundreds digit of 96141040? 0 What is the units digit of 360234021? 1 What is the hundred thousands digit of 90654141? 6 What is the ten millions digit of 817436388? 1 What is the millions digit of 184584614? 4 What is the hundred thousands digit of 139101433? 1 What is the billions digit of 6187920790? 6 What is the hundred millions digit of 132837861? 1 What is the millions digit of 19915870? 9 What is the hundreds digit of 613572335? 3 What is the thousands digit of 22589893? 9 What is the thousands digit of 216678736? 8 What is the ten thousands digit of 24898360? 9 What is the hundred thousands digit of 803915514? 9 What is the thousands digit of 4780324367? 4 What is the millions digit of 25653806? 5 What is the ten thousands digit of 33659266? 5 What is the millions digit of 355887350? 5 What is the hundreds digit of 1171998651? 6 What is the ten thousands digit of 691169418? 6 What is the billions digit of 1228812441? 1 What is the tens digit of 406087967? 6 What is the hundreds digit of 3033884687? 6 What is the ten thousands digit of 51036972? 3 What is the thousands digit of 97314181? 4 What is the hundred thousands digit of 134978912? 9 What is the tens digit of 188476641? 4 What is the units digit of 41316928? 8 What is the ten millions digit of 719437874? 1 What is the hundred thousands digit of 30230678? 2 What is the tens digit of 214265106? 0 What is the units digit of 1328001301? 1 What is the tens digit of 1570166629? 2 What is the hundreds digit of 60718652? 6 What is the hundred thousands digit of 39560511? 5 What is the hundred thousands digit of 226621800? 6 What is the millions digit of 62786607? 2 What is the units digit of 559328457? 7 What is the millions digit of 71692441? 1 What is the hundred thousands digit of 205098079? 0 What is the thousands digit of 21297326? 7 What is the hundred thousands digit of 1769422745? 4 What is the ten millions digit of 36330811? 3 What is the ten millions digit of 1111936603? 1 What is the hundreds digit of 1482511571? 5 What is the thousands digit of 94387763? 7 What is the tens digit of 131978538? 3 What is the hundreds digit of 13794942? 9 What is the hundred thousands digit of 12051977? 0 What is the tens digit of 744834329? 2 What is the units digit of 11884776? 6 What is the millions digit of 40405577? 0 What is the billions digit of 7777808759? 7 What is the tens digit of 42128807? 0 What is the ten thousands digit of 2487677012? 7 What is the hundred millions digit of 213514142? 2 What is the ten thousands digit of 46783977? 8 What is the hundreds digit of 571810277? 2 What is the hundreds digit of 71017797? 7 What is the ten thousands digit of 606151537? 5 What is the hundred millions digit of 134582274? 1 What is the tens digit of 445225149? 4 What is the tens digit of 71578042? 4 What is the hundred millions digit of 5111726927? 1 What is the hundreds digit of 281072567? 5 What is the hundred millions digit of 1387779287? 3 What is the millions digit of 62162461? 2 What is the hundred millions digit of 273641510? 2 What is the ten thousands digit of 1487209914? 0 What is the millions digit of 43998375? 3 What is the ten millions digit of 1812098503? 1 What is the hundreds digit of 455616696? 6 What is the hundreds digit of 75497914? 9 What is the ten millions digit of 1721758485? 2 What is the tens digit of 5933438? 3 What is the ten thousands digit of 22619619? 1 What is the units digit of 1939973813? 3 What is the hundred millions digit of 1398121140? 3 What is the ten millions digit of 459668904? 5 What is the millions digit of 346248968? 6 What is the hundred thousands digit of 46862754? 8 What is the billions digit of 1118796244? 1 What is the hundred thousands digit of 16961727? 9 What is the thousands digit of 332127872? 7 What is the ten thousands digit of 2351721480? 2 What is the units digit of 259507698? 8 What is the ten thousands digit of 1376373126? 7 What is the hundred thousands digit of 857228462? 2 What is the millions digit of 612191207? 2 What is the tens digit of 19262797? 9 What is the ten thousands digit of 122528978? 2 What is the hundred thousands digit of 325741806? 7 What is the units digit of 43900146? 6 What is the units digit of 1699748295? 5 What is the hundred millions digit of 5042358043? 0 What is the units digit of 39206270? 0 What is the ten millions digit of 77231661? 7 What is the hundred thousands digit of 2497445722? 4 What is the hundred thousands digit of 30662753? 6 What is the hundreds digit of 69481601? 6 What is the thousands digit of 15193472? 3 What is the thousands digit of 7427109628? 9 What is the millions digit of 13193992? 3 What is the tens digit of 64378768? 6 What is the hundreds digit of 412755029? 0 What is the thousands digit of 8995055410? 5 What is the hundreds digit of 18899849? 8 What is the ten thousands digit of 39339356? 3 What is the ten millions digit of 286923038? 8 What is the thousands digit of 39407881? 7 What is the ten millions digit of 233012789? 3 What is the hundreds digit of 565661741? 7 What is the thousands digit of 420556356? 6 What is the millions digit of 785310254? 5 What is the thousands digit of 45859226? 9 What is the millions digit of 3576934036? 6 What is the units digit of 7782606? 6 What is t
{ "pile_set_name": "DM Mathematics" }
3*a**3. Calculate o(z). 13 Let n(p) be the third derivative of 0*p - 5/6*p**3 - 1/20*p**5 + 29*p**2 + 0 + 7/24*p**4. Give n(4). -25 Let v(i) = -i**3 - 16*i**2 - 4. Let g be v(-16). Let x(c) = c - 1. What is x(g)? -5 Suppose -3*v + 5 = -1. Let z(q) = -2*q**2 - 1 + 3*q**v - 2*q**2 - q. Calculate z(0). -1 Let p(h) be the first derivative of -h**5/15 - h**4/24 + 2*h**2 + 16. Let g(k) be the second derivative of p(k). Give g(2). -18 Let y(p) = p**3 - p**2 - p + 5. Let l = -6 + 9. Let k be (-1)/l + (-1)/(-3). What is y(k)? 5 Let c(p) = -1 - 3*p + 5 - p + p. Let h be c(-2). Suppose 4 + h = 7*r. Let f(m) = -m**3 + 2*m**2 + 2*m + 1. Determine f(r). 5 Suppose -18*c + 136 = -22*c. Let d = c - -30. Let l(k) = k - 1. Give l(d). -5 Let o = 128 + -90. Let r = -34 + o. Let d(n) = 2*n - 1. What is d(r)? 7 Let x(q) = -q**3 + 2*q**2 + 12*q + 1. Let p be (80/(-24))/(2/(-3)). Let l be x(p). Let k be 30/(-12)*l/5. Let s(f) = -f + 5. Calculate s(k). -2 Let z(f) = -f**3 + 4*f**2 - f. Suppose 3 = -y + 18. Suppose -2*t + c = -c - 8, 4*t = 3*c + y. What is z(t)? 6 Let a be -1*(12/3 + 2). Let n = -7 - a. Let s(c) = -1. Let z(k) = -8*k - 5. Let x(j) = n*z(j) + 6*s(j). Calculate x(1). 7 Let c(g) = -19 - 7 + 51 - 15 + 5*g**2 + g**3 - 13*g**2 - 2*g. What is c(8)? -6 Let z(j) = j**2 - 3*j. Let w(y) = 14*y - 1 + 17*y**2 + 15*y**2 - 39*y**2. Let o(s) = 2*w(s) + 11*z(s). Calculate o(-3). -14 Let n(w) = -7*w**2 + w**3 + 0*w**3 + w - 3*w + 3*w + 6. Calculate n(7). 13 Let q(b) = -1. Let f(l) = 3*l - 12. Let n(p) = f(p) - 4*q(p). Calculate n(3). 1 Suppose -5*x + 0*x = 15, k - 4*x - 11 = 0. Let y = 74 + -72. Let d(b) = -4*b - 4*b + y*b + 3*b. Calculate d(k). 3 Let k(b) = b**3 - 8*b**2 - 2*b + 12. Let a(s) = 4*s**2 + 3*s - 17. Let h(g) = 5*g**2 + 3*g - 16. Let x(f) = 4*a(f) - 3*h(f). Let v be x(4). Give k(v). -4 Let w(n) = n**3 + 5*n**2 + 4*n + 2. Let k be (-4)/(-24)*8*-3. Determine w(k). 2 Let h(b) = -b. Let k(l) = -5*l. Let c(j) = 4*h(j) - k(j). Let f(p) = -p**2 - 10*p - 27. Suppose 0 = -3*d - 37 + 19. Let s be f(d). Determine c(s). -3 Let o = 68 - 84. Let w = 24 + o. Let a(q) = -q + 2. Calculate a(w). -6 Let b(p) be the first derivative of p**4/4 - p**3/3 + p**2/2 - 4*p - 1. Suppose 0 = -5*j + 3*o - 1, -5*j = -4*o + 2 - 4. Let h be (-4)/6 - j/3. Give b(h). -4 Let a(b) = 7*b + 14. Let x be 180/30*(-4)/6. Give a(x). -14 Let a(r) = r. Let b(c) = c + 8. Let n be b(-5). Let o(i) = -i**2 + 10*i + 4. Let x(g) = n*a(g) - o(g). Calculate x(6). -10 Let l(n) = 40*n + 4. Let p(v) = 14*v + 1. Let h(g) = -3*l(g) + 8*p(g). What is h(3)? -28 Let a be (4/(-7))/((-5)/35). Let l be -4 + a + 3 + 0. Let b(r) = -r + 0 + 3 + l*r. What is b(-6)? -9 Suppose 58 = -3*x + 34. Let f(t) = 3*t**3 - 8*t**2 - 7*t + 6. Let s(o) = 5*o**3 - 12*o**2 - 11*o + 9. Let r(k) = x*f(k) + 5*s(k). What is r(-3)? 3 Let q(u) = -104*u**2 - 104*u**2 - 2 + 318*u**2 - 109*u**2 - 7*u. Suppose -5*d = -d - 16. What is q(d)? -14 Let s = -60 - -34. Let h be (-212)/s - 6/39. Let c(j) = -j + 4. Let u be c(h). Let g(n) = -2*n. What is g(u)? 8 Let r(b) = b**3 - 5*b**2 + 4*b - 5. Let q(d) = d**2 - 26*d + 74. Let l be q(23). Determine r(l). 15 Let f(b) be the first derivative of b**3/3 + b**2 - 4*b + 68. Calculate f(-5). 11 Let o(y) = 16*y**3 - y**2 + y. Let n be (-2)/(-6)*6/2. Suppose -n + 5 = 4*l. Determine o(l). 16 Let c(v) = 3*v**3 - 7 - 16*v - v**3 + v**3 - 4*v**2 - 2*v**3. Let b be c(7). Let u = b + -34. Let z(k) = -k**2 - 5*k + 3. Give z(u). -3 Suppose 0 = 4*h - 2*h + 22. Let m = h - -14. Let r(l) = -3*l + 1 + m*l + 3 - l. Calculate r(4). 0 Let k(d) be the third derivative of -d**5/60 + d**4/6 + 5*d**3/6 + 76*d**2 - 3*d. Let x = -5 + 10. Determine k(x). 0 Suppose 2*v - 6 = v. Let c(l) = l - 10. Let m be c(v). Let k(b) = b + 4. Give k(m). 0 Let d(r) = 3*r - 2. Let s(x) = -x**2 + 4*x - 16. Let v(b) = -4*d(b) + s(b). What is v(-6)? 4 Let o(n) = 2*n**2 + 15*n + 16. Let t be o(-6). Let i(u) = -u**3 - 2*u**2 + 5*u + 3. Give i(t). -7 Let n(i) = i**3 + 6*i**2 + 7*i + 5. Let h be n(-5). Let g(f) = 54*f**3 - 27*f**3 + 4*f**2 + 5 - 5*f - 26*f**3. Determine g(h). 5 Let x = -7 + 8. Suppose 0 = 3*u + 5*y - 16, 2*y = 2*u + 3*y - 6. Let a(o) = -6*o**2 + 4*o**u + o**2 - 7*o**2 + 1. Calculate a(x). -7 Let t(y) = -y**3 - 2*y**2 + 2*y - 5. Let k = -589 - -586. What is t(k)? -2 Suppose -2*n + 0*n = 20. Let u be (28/n)/(4/(-20)). Suppose 0 = -5*v + a + u, -5*a - 15 = -4*v - 8*a. Let q(h) = -h**2 + 4*h + 2. Calculate q(v). 5 Let q(o) be the third derivative of -1/8*o**4 + 0*o + 0 - 4*o**2 - 2/3*o**3. Determine q(-7). 17 Let c = 0 + 6. Let d be -1*c + -7 + 7. Let b(o) = 17*o - 16*o + 4 + 3. Determine b(d). 1 Suppose z + 4*p + 18 = 2*z, 3*z + 5*p = 71. Suppose -t + 2*t + z = -5*s, -2*t + 2*s = 8. Let j(g) = -g - 8. Calculate j(t). -1 Let t = 45 + -55. Let c be 5/((-10)/(-12))*t/(-60). Let q(i) = -2*i**2 - i + 1. Determine q(c). -2 Let w(t) = t**2 - 8*t + 9. Let q = -137 + 143. Give w(q). -3 Let c(w) = -w**2 - 4*w + 5. Suppose 5*l - 3*s + 8 = 0, -3*l - 2*s = -5*l. Give c(l). 5 Let f(m) be the first derivative of 3/2*m**2 - 15 + 1/3*m**3 + 0*m. Give f(-4). 4 Let l(u) = u**2 - 60 + 457*u - 459*u + 58. Calculate l(5). 13 Let d(u) = u**2 - 84*u + 246. Let o be d(3). Let v(q) be the first derivative of -10/3*q**o - 4 - q - q**2. Give v(-1). -9 Let r(u) = -u**2 - u - 2. Let b(p) = -5*p - 26. Let q be b(-5). Let i be ((-1)/(-1) + q)/(-2). Calculate r(i). -2 Let x(h) = -h**2 - 3*h + 110. Let v be x(-12). Let d(o) = -o**2 + 3*o + 2. Let w(q) = -2*q**2 + 7*q + 4. Let z(t) = 5*d(t) - 2*w(t). What is z(v)? 0 Let b = -72 + 79. Suppose 0 = -4*x - 3*o - b, -3*o = -4*o + 3. Let h(q) = -2*q + 4. Determine h(x). 12 Let p = -18 - -13. Let i(d) = 3 - 4 - 8 + 134*d - 135*d. Let c(a) = -1. Let h(b) = 3*c(b) - i(b). What is h(p)? 1 Let t be -5*(13/5 + -3). Suppose -t*v + 3 = -v. Let i(x) = 1 + 0 - x**2 + 2*x + 0. Give i(v). -2 Let f(g) = -4*g**3 - g**2 + 6*g + 13. Let d(o) = -o**3 + o + 2. Let p(b) = 7*d(b) - f(b). Let t(i) = i - 2. Let c be t(1). What is p(c)? 4 Let b(w) = -3*w**2 - 8*w**2 + 0 + 10*w**2 + w + w**3 - 6. Let t be 2/5 + (-2)/5. Let m be b(t). Let s(n) = n**3 + 5*n**2 - 7*n + 2. What is s(m)? 8 Suppose -338*c + 341*c - 9 = 0. Let i(o) = -10*o + 1. Give i(c). -29 Let p(t) = -51*t**2 + 29*t + 18. Let z(b) = -19*b**2 + 10*b + 6. Let k(w) = -3*p(w) + 8*z(w). Let q be (2 - (-1 - -3)) + 7. Determine k(q). -6 Let s(r) = 13583 + 13583 + 6*r**3 - 27167. Suppose 0*b = -b - 1. Give s(b). -7 Suppose -4*q = 3*m - 13, -m = -q + 9 - 4. Let h be 6/10 - 2/(-5). Let a(y) = -1 + h + y - 6*y. Determine a(m). 5 Let d(l) be the third derivative of 0 + 0*l**4 + 0*l - 1/20*l**5 - 1/120*l**6 - 1/2*l**3 - 4*l**2. Suppose 37*r + 21 = 30*r. Determine d(r). -3 Let s(l) = 2 - 8*l + 2*l + l - 4 + 6*l**2 + l**3 + 11. Determine s(-7). -5 Let r(y) be the second derivative of -y**5/20 - y**4/2 + 2*y**3/3 + 2*y**2 + 63*y. Determine r(-4). -44 Let o(p) = -9*p. Let k be (-10)/(-6)*(-24)/(-20). Determine o(k). -18 Let k = 11 - 19. Let s(c) = 2*c**2 - 11*c - 1. Let y(q) = -3*q**2 + q + 1. Let g(r) = -s(r) - y(r). What is g(k)? -16 Let p(u) = -4*u + 3. Let k(v) = -4*v + 5. Let w(r) = 3*r - 4. Let j(c) = -6*k(c) - 7*w(c). Let o(q) = 5*j(q) + 4*p(q). Suppose 0 = 2*x + 2 - 10. What is o(x)? -2 Let d(u) = u**3 + 16*u**2 - u - 21. Let r be 1194/(-75) + (-1414)/175 + 8. Determine d(r). -5 Suppose 3*x = 2*i + 2 + 3, 0 = x + i - 5. Suppose 0 = -6*k + 2*k + 24. Let h(y) = -k*y + 4*y + 7 - x - 2. Calculate h(4). -6 Suppose 12*p = 314 - 62. Let x(k) = -k**3 + 22*k**2 - 20*k - 29. Calculate x(p). -8 Let j = 29 + -19. Let b(z) = 1 - 7 + j*z + z**2 - 4*z + 0*z. What is b(-7)? 1 Let h = 23 + -20. Let l(v) = -v + 4*v**2 - 3*v**3 - 1 + 5*v**3 - 4*v**3 + v**h. Calculate l(3). 5 Let k(h) = h**2 + 4*h - 6. Let y be k(-6). Suppose 0 = -0*d + d + y. Let l(a) = 2*a**2 + 5 + 2*a + 4*a - a**2 + 0*a**2. Determine l(d). 5 Let a(z) = 4*z + 36. Let h be a(-7). Suppose -35 = -h*w + w. Let f(u) = -u**3 - u**2. Let d(l) = 6*l**3 - l - 7. Let g(b) = d(b) + 5*f(b). Give g(w). -12 Let z(o) = -2*o + 6. Suppose -5*x = 5*r - 10, 4*r - 5*x = 11 + 15. Determine z(r). -2 Let h be 2/(-4)*276/46. Let f(c) = c**3 + c**2 - 2*c + 4. What is f(h)? -8 Let s(k) be the first derivative of -k**4/12 - k**3/6 - k - 24. Let i(a) be the first derivative of s(a
{ "pile_set_name": "DM Mathematics" }
hat is -2.1 + 93428? 93425.9 What is 134 less than 5.5? -128.5 Add together -8238 and 2. -8236 Add together -433 and 0.094. -432.906 Add together -11 and -0.05319. -11.05319 Calculate 1241.13 - -3. 1244.13 Calculate 7 - 167199. -167192 Subtract 0.19786 from 0.06. -0.13786 Work out -5 - 72120. -72125 What is the difference between -0.11978 and 4? 4.11978 0.2 - -0.25898 0.45898 Subtract -19.2 from -232.4. -213.2 What is the difference between -0.3 and -100? 99.7 What is -0.05 - 0.012? -0.062 -19051253+0.1 -19051252.9 Calculate -251199 + -0.5. -251199.5 Put together -700 and -0.13. -700.13 What is the difference between -5 and 396.1? 401.1 31.48 + -1 30.48 Work out 0.0593 - 3. -2.9407 What is -700 take away 202? -902 Sum -0.3 and -0.2009. -0.5009 What is -363 minus 0.94? -363.94 What is -24 less than -1.25? 22.75 What is -479 take away -1098? 619 What is 1 - -136878? 136879 Sum 29.7 and 200. 229.7 What is 792 plus -3479? -2687 What is -3.6 minus -173.25? 169.65 1268 - 4 1264 What is -18855 minus 16? -18871 What is 0.07 plus -114? -113.93 Add together 0.5 and 466. 466.5 Work out -0.02 - -245.5. 245.48 What is the distance between 0.2 and -1398? 1398.2 What is the difference between -5.2 and 7? 12.2 Total of 26 and -68811. -68785 Work out -108 + 0.4. -107.6 What is 16862 minus 0.7? 16861.3 -18 - 0.010472 -18.010472 Calculate -5.8 - -0.054. -5.746 Sum 33 and -0.376. 32.624 -0.03 - 1210629 -1210629.03 Put together 76 and 42.7. 118.7 -15+1.34 -13.66 Calculate 50582 - 0.4. 50581.6 Add 22.77 and 0.046. 22.816 Subtract -6.78 from -1.6. 5.18 What is 5 take away 97.17? -92.17 Total of -29 and 56. 27 What is -20934 less than 4? 20938 Put together -11 and -1.3. -12.3 What is -2.4082 take away -15? 12.5918 Calculate 18 - -1000. 1018 Add -2.8815 and 0.3. -2.5815 What is -1030 minus -2? -1028 -23204+-4 -23208 Calculate -0.49 - 0.107. -0.597 Calculate 0 + -35340. -35340 What is -2853 - 0.3? -2853.3 Put together 0.59 and 63.5. 64.09 Add 3626 and 0.1. 3626.1 -0.4 - -0.0622 -0.3378 Total of -97 and 699. 602 Calculate 73 + -17.7. 55.3 What is -730842 take away -4? -730838 What is the distance between 656 and -3.2? 659.2 Add together -0.27 and -0.6. -0.87 0.2 + -2291 -2290.8 What is 0.5 + -7.5422? -7.0422 3 + -766 -763 Subtract -0.49 from -2097. -2096.51 Subtract 14 from -2.7. -16.7 What is -8 + -107? -115 What is 0.16 minus -0.085638? 0.245638 0.236292 - 4 -3.763708 Calculate 0.053 - 1.917. -1.864 What is 0.04769 take away 2? -1.95231 Add together -5 and -541.3. -546.3 Calculate -17 + 29236. 29219 What is 4879 minus -9.7? 4888.7 Add together 0.1 and -0.07627. 0.02373 What is the distance between -0.5492 and 0.4? 0.9492 Calculate -4.289 + 3. -1.289 What is the distance between 0.664 and -45.92? 46.584 What is 0.4 minus 622.51? -622.11 Sum -0.076 and -0.4354. -0.5114 Work out -0.3102 - -72. 71.6898 Add together 5 and -3.868. 1.132 0.2 + -3.262 -3.062 Total of -0.7082 and -310. -310.7082 0.4+474.1 474.5 What is -8 + -904? -912 -0.3+-9.04 -9.34 What is -148 + -99? -247 What is 0 take away -6640? 6640 What is 0.04 less than -64? -64.04 Calculate -111 + -930. -1041 What is -0.34 take away -0.137497? -0.202503 Calculate -222 + 835. 613 Work out -2 + -195. -197 Subtract -1.3 from -1627. -1625.7 Add together 1.5 and 0.129827. 1.629827 -14.7 - -12 -2.7 What is the distance between 0.798 and -2.1? 2.898 86.09+14 100.09 What is the difference between 1.2 and 50053? 50051.8 Work out -214 + -0.5. -214.5 What is 554 less than 0.02? -553.98 What is -0.03 minus -0.6175? 0.5875 What is -0.19 - -1.9129? 1.7229 Add together -0.4 and -0.1179. -0.5179 Put together 117 and -624. -507 323 + 232 555 Work out -24.02 + 27. 2.98 Add 3 and -171.7. -168.7 What is -0.36 minus 2.293? -2.653 What is the distance between -3664 and -0.13? 3663.87 Work out -106.1 - 23. -129.1 Work out -0.05671 - 53. -53.05671 What is -79 - -0.021? -78.979 What is the difference between -4 and 25395? 25399 Sum 107 and 69. 176 What is -824665 less than -1? 824664 Calculate -10227 - -0.026. -10226.974 -0.1+-0.12958 -0.22958 What is 4.2 less than -508? -512.2 Work out -316 + -0.2. -316.2 Total of 5 and 384. 389 Total of -0.1 and -6861. -6861.1 -62 - 15 -77 Sum -1119.8 and 84. -1035.8 What is -0.16 - -0.117? -0.043 0.4 + 576.491 576.891 What is -4 minus -14896.1? 14892.1 Total of 12.6 and -0.0265. 12.5735 What is -0.4 minus -43666? 43665.6 What is -1 take away -86.91? 85.91 What is the difference between 0.24 and 46195? 46194.76 Sum 1471 and -0.09. 1470.91 Add together -90.8 and -3. -93.8 What is 146 + -63? 83 Calculate -150224 - -0.3. -150223.7 705 - -2 707 Total of -26.7 and 6.3. -20.4 What is 375112 - -2? 375114 Subtract 2.5 from -1. -3.5 What is 47 - 45484? -45437 What is 105 less than 0.049? -104.951 What is the distance between 5 and -286059? 286064 Add 142 and 91. 233 Add 0.2 and 107144. 107144.2 Add 2.59445 and 0.3. 2.89445 Work out 310 - 9. 301 What is 14 take away -599814? 599828 Calculate -0.30067 - 0.03. -0.33067 Subtract -8.88841 from 0.05. 8.93841 Work out -1.135 - 0.3. -1.435 Work out -0.05755 - 0.0617. -0.11925 Calculate -108.813 - -1. -107.813 What is 21.4 plus -22? -0.6 Work out 0.5 - -422. 422.5 0.17202+-0.4 -0.22798 What is -0.731 plus 169? 168.269 What is -233573 plus -2? -233575 What is 1906 - -85.9? 1991.9 Add together -9175 and -17. -9192 What is the difference between 5 and 8955? 8950 -107+0.07 -106.93 What is 1 minus 2564? -2563 What is the difference between 2823.81 and -3? 2826.81 Add together 511 and -3. 508 Add -5 and 848340. 848335 What is the distance between -0.03 and -7435? 7434.97 -76.41+38 -38.41 What is 1 - 0.04165? 0.95835 Work out -2502 - -67. -2435 What is 7.6 less than -5? -12.6 What is the difference between -982 and 35? 1017 Work out -2318497 + 0.2. -2318496.8 What is 0.056 - -96550? 96550.056 Work out -0.05257 - 0.5. -0.55257 What is 252 - 0? 252 Calculate -934 - -27. -907 Add together -9071 and -0.4. -9071.4 Sum -7 and 116.903. 109.903 What is the distance between -487320 and -1? 487319 Add -1.4 and 42. 40.6 What is -2591.4 plus 249? -2342.4 Calculate -2.63 + 1.1. -1.53 What is 0.2934 less than -166? -166.2934 Subtract -0.31 from 0.0315. 0.3415 Put together 0 and -1800. -1800 What is 1 - -10.74? 11.74 Calculate -43 + -114. -157 Calculate 0.3 - -1.626. 1.926 Total of -0.9 and 1213. 1212.1 What is 219 - -2353.1? 2572.1 Add -12.1 and 10293. 10280.9 Calculate -206 - 0.96. -206.96 Calculate 0.655 - 3. -2.345 Work out 66385 - -11. 66396 Calculate 0.37558 - 0.4. -0.02442 Calculate -44 - 347. -391 Add together -0.1 and -36. -36.1 Subtract -44758 from -13.4. 44744.6 Put together -0.158297 and 6. 5.841703 Work out -0.27 - 0.043883. -0.313883 What is the distance between 0.1 and -860667? 860667.1 -2351 - -0.27 -2350.73 -4718 - 0.3 -4718.3 Add 9 and 0.060242. 9.060242 Calculate -33 + -1.764. -34.764 What is -0.36 - 0.79? -1.15 -3 - 14987.3 -14990.3 What is 7107 less than -1? -7108 -3517804 + 4 -3517800 What is 9 minus 758? -749 1.6 - -164.15 165.75 What is 6772 take away -0.27? 6772.27 -277+667 390 What is -4 - -0.76515? -3.23485 What is -41 take away -0.048? -40.952 What is 2 minus -111.086? 113.086 What is 0.42 less than 0? -0.42 What is -1425 - -1.963? -1423.037 Sum -0.3 and -1409. -1409.3 Add -32 and -332.5. -364.5 What is the distance between -1 and -96.6? 95.6 What is the distance between 2 and 238.31? 236.31 What is -2731 - 24.07? -2755.07 -0.3 + -415 -415.3 What is 288 less than 3.2? -284.8 Sum 1784 and -37. 1747 What is -0.07083 - 0.5? -0.57083 0.3 - 73.429 -73.129 What is -0.08325 minus 0.326? -0.40925 Work out -0.6 + -12.785. -13.385 What is -5 - 0.0112? -5.0112 Put together 0.6 and -19485. -19484.4 Sum 21.21 and 53. 74.21 -1641+106 -1535 1056215 - 0.04 1056214.96 What is the difference between 262.54 and 1? 261.54 -152430 + 0.2 -152429.8 Calculate -2 - 0.2724078. -2.2724078 What is -0.06419 take away -86? 85.93581 0.4 + -3343 -3342.6 2331286 + 0.1 2331286.1 Work out -2.1 + -0.0992. -2.1992 What is 393 less than -12? -405 -890.7 + 0.4 -890.3 What is -275.6 - -0.6? -275 Put together -9660 and 0.6. -9659.4 -0.4 - 0.03868 -0.43868 What is 4 minus -1.27? 5.27 What is -6 plus 2191? 2185 Sum 138 and 0.03. 138.03 Calculate -0.07 - 13.04588. -13.11588 -345 + -19 -364 Add together -3
{ "pile_set_name": "DM Mathematics" }
+ (-6)/21. 5/6 What is 6/28*(69/(-90) + (-48)/(-480))? -1/7 What is (-6)/(-4) + ((-129)/24)/((-1)/4)? 23 What is ((-2000)/4500)/(2/(-45))? 10 What is 6912/9216*(-208)/6? -26 (99/44*50 + -11)/((-56)/(-16)) 29 Calculate 1*(-170)/45 + 4 - 780/108. -7 Evaluate (10 - (-2 - -3))*(11 + -38 + 26). -9 What is the value of 700/(-40)*(2 + (540/35)/(-6))? 10 Calculate -4 - -2 - 18/(-21). -8/7 1/(-25*3/(-750)) 10 What is ((-87)/135 - -1) + 80/180? 4/5 Evaluate (-2)/(-13) - 2725/1417*16/70. -2/7 Calculate (0/(-112))/(1/1) + (-30)/(-27). 10/9 What is 2/2*-4 - (-86 + 32 - -36)? 14 Calculate (39/(-26)*12)/((-1)/(4/6)). 12 Evaluate 1691/95 - (35 + -20). 14/5 1/1*7*10/14 + 2 7 What is the value of 26/51 - ((-204)/1530)/((-2)/5)? 3/17 What is the value of (-30)/3 - (126/28 - 0)*-2? -1 What is (-957)/(-609) + 1/(-1)? 4/7 What is (-33)/77 - (-60)/238? -3/17 What is (10 + 64/(-3 + -5))/48? 1/24 What is the value of (4 - (-84)/(-18))*(-4)/16*90? 15 Evaluate ((-110)/(-24) + (-660)/198)/(-2). -5/8 What is the value of ((-5670)/36)/63*32/(-10)? 8 What is ((-1)/2)/(-1) + ((-2627)/(-74) - 13)? 23 What is the value of ((-2)/3)/(188/846)? -3 Calculate (-20)/25 - (-30)/225. -2/3 What is the value of (3/4)/((-252)/2328) - -7? 1/14 32 - (-26)/((-468)/(-54)) 35 What is the value of 41/((-861)/(-819))*1/3? 13 What is the value of ((-9)/3)/((36/(-8))/3)? 2 What is the value of (-10 - 168/(156/(-13))) + (8 - -2)? 14 Evaluate 2 + (-228)/(-14) + 23/(-7) + 3. 18 Evaluate (-208)/(-1768)*(-1)/2*3. -3/17 ((-16)/4 - -5)*(-18)/3 -6 What is (-4)/1 + 15/1500*-598 + 10? 1/50 Evaluate (30/(-75))/(64/2680) + 6/8. -16 Calculate (0 - (-4)/(-3))*(-1296 + 1293). 4 Evaluate (6/(-5))/(-12 + 1746/90 + -7). -3 (-3)/(-21) - (-9)/(-21) -2/7 What is the value of -3 - (25 - 14) - 4*-2? -6 Evaluate 31/11 + (6/(-88))/(30/(-80)). 3 What is the value of ((5 - 3)/2 + -2)*(-4 - -1)? 3 What is 172*3/102 - 5/(11 + -10)? 1/17 What is ((-150)/12)/(320/384)? -15 What is (-30)/(-36)*(-8)/10? -2/3 Evaluate (-12)/10*1240/1984. -3/4 Calculate (-36)/((-4)/1) - (-3)/(-1). 6 What is (-22)/(-2464)*64 - 178/(-7)? 26 What is the value of (-494)/(-380) - (-20)/(-25)? 1/2 -5 + -20*162/(-90) - 17 14 What is -1 + 319/(-580)*(-3 - (-3)/3)? 1/10 Calculate 13 - 7 - (-8 - 759/(-54)). -1/18 480/7920 - (-200)/(-33) -6 Calculate (-66)/(-4)*(-9)/(270/(-20)). 11 What is the value of ((-768)/(-112))/(38/(-133))? -24 Calculate 72/(-315)*(10 + (-1098)/72). 6/5 Evaluate 9 + 6 + (-5344)/352. -2/11 Calculate (-111)/24 - (-1683)/(-4488). -5 Evaluate 47/(2773/177)*5/(-3). -5 Calculate (1022 - 1034) + (-230)/(-19). 2/19 What is 21 + (-64)/4 + (-4 - 32)? -31 What is the value of (-1)/(0 - (-20)/(-8))? 2/5 What is the value of 6 - ((-18)/(-10))/(7/((-35)/1))? 15 5/(-45*(-40)/(-11520)) -32 Calculate (14/(-21))/((7 - 14)/126). 12 Calculate (-20*(-28)/210)/(2/3) + 5. 9 Evaluate (840/100)/((-4)/34 + (-48)/170). -21 (3/4)/((-184)/736) -3 What is (22/10 - 2)/(171/(-1368))? -8/5 5445/1980 + (-178)/24 -14/3 Calculate (4/12)/(16/384) + -18. -10 Evaluate -12 + 14/6*5. -1/3 (1296/(-972))/((-2)/9) 6 ((-2)/(-5) + 26/(-40))*-44 11 (-19 - 4136/(-220))*(2 - 33/39) -3/13 (((-8)/132)/(36/162))/(3/(-4)) 4/11 Evaluate (-4)/(-18)*3*(17 - (-12348)/(-720)). -1/10 Calculate (-64)/(-44) - (69 - 67). -6/11 What is the value of (54 + -106 + 20)*2/(-4)? 16 What is (-28)/(-21)*33/(-187)? -4/17 (0 + 1)/(58 + 33198/(-572)) -26 Calculate ((-20)/(-7))/(-21 + 5662/266). 10 (-960)/(-315)*3 - 9 1/7 Evaluate (-2)/(-4)*(18 - (31 - 11)). -1 (-84)/(-6) - (-15 - (-972)/33) -5/11 -11 + 30247/1192*(-3)/(-7) -1/8 What is the value of 6*(-4*(-581)/(-210) - -9) + 10? -12/5 Evaluate (-37 + 14 - 816/(-36)) + (-176)/(-6). 29 Evaluate (-5 + -3)*46/2024. -2/11 Calculate (-8 + (-1328)/(-168))*(4 + -1 - 38). 10/3 What is (-5)/(-2)*(-10)/(-175)? 1/7 Calculate 0 - (-2)/(8/32 - 0). 8 What is the value of (-30 - -33)/(((-21)/(-12))/(-7))? -12 Calculate -41 + 992/32 + -9. -19 ((-12)/18)/(11/(-18))*143/26 6 ((-4)/6)/(-1*12 + (-15648)/(-1296)) -9 Evaluate (((-1075)/(-250))/(-43))/(4/(-45)*-3). -3/8 Evaluate 26 - 10*(-9 - -11). 6 What is the value of ((-274)/56 - -5)*2*(4 - 0)? 6/7 Evaluate 31 - (-1692)/((-1260)/35). -16 What is the value of 6 + -4 - (-364)/28? 15 Calculate (-207)/(-115)*((-2)/10 + (-112)/(-60)). 3 (-6)/4*((-36)/8)/3*-4 -9 (-75 - -63)/((-14)/4 + (-8)/(-16)) 4 What is the value of ((-1)/(-13)*-3)/(27*(-19)/342)? 2/13 (68 + -39 - 32)*1/(-2) 3/2 What is the value of (-14)/5 - 284/(-355) - (-31)/17? -3/17 Calculate (-42 + 32)/((-175)/(-42)). -12/5 Evaluate 24/(-24)*(-5 + (-424)/(-88)). 2/11 4/14 - (2632/(-3136))/(6/(-8)) -5/6 (-23088)/1184 + 38/2 -1/2 Evaluate (0 - -2)*(-4732)/1352. -7 What is the value of (-32 - -35)*(7/(-3) - 2)? -13 What is the value of 9 - (((-784)/(-35))/28)/(4/10)? 7 Calculate (243/18 + -16)*(-24)/(-10). -6 Calculate 50/(-46) + -3 + -11 + 60/4. -2/23 What is the value of (-1309)/(-748) + 4 + (-19)/4? 1 What is (-285)/60 + 2552/544? -1/17 Evaluate (-112)/(-210)*9/(-2) - -2. -2/5 Evaluate (-4)/(-48)*-2 + (-649)/66. -10 Evaluate 17 + (-28 - -16) + (-7 - 1). -3 What is the value of (4/10)/(4 + (-159)/40) + -5? 11 Evaluate (-660)/(-275) - 524/210. -2/21 What is ((-2)/9 - 44/(-36))*82/(-287)? -2/7 Calculate 24/(-5) - (-31)/(-155). -5 Evaluate ((-1)/3)/(8/(-6)). 1/4 Evaluate (-310)/4216*-8*17/4. 5/2 Evaluate 2/(-6)*(-18)/(-4)*20/30. -1 Evaluate (20 - 228/9)/((80/15)/(-8)). 8 630/(-126)*9/5 -9 ((-4)/44*-1)/(-106 - -107) 1/11 What is (-40)/(-20)*(-2 + -10)? -24 What is (-42746)/1206 + (120/27 - 5)? -36 Evaluate ((-596)/(-5960))/((-4)/25). -5/8 What is the value of -61 + 44 - 2816/(-154)? 9/7 What is ((-12)/50)/((-693)/(-1155))? -2/5 Evaluate (-31)/5 - ((-264)/(-55))/(-24). -6 Calculate (18/(-15))/(64/20)*(-7)/(-21). -1/8 Calculate ((8/(-24))/(5/(-15)))/(8/40). 5 What is the value of ((-2024)/(-143) - 14)/(-2)? -1/13 What is the value of ((-1)/2 - 1)/(2418/(-52) - -47)? -3 ((-536)/(-48) - 12)/((-2)/12) 5 Evaluate (-2)/5 + 520/800. 1/4 60480/36800 - (-24)/(-15) 1/23 Calculate 1*(28/(-294) + (-527)/(-21)). 25 (8 - 5908/728)*(-4)/3 2/13 Calculate 1 + (-20)/14 + (47 - 47). -3/7 What is 901/1855 + (-3)/(-63)*2*-3? 1/5 What is the value of 3/8*(-5590)/258 - -8? -1/8 What is the value of ((-9842)/1624)/19 - (-3 + (-340)/(-116))? -1/4 Evaluate (1 - -3) + -11 - (-288)/(-42)*-1. -1/7 What is the value of (1 - 0)*-17*(-1181)/1181? 17 12/(-78) - 220/(-416) 3/8 6/16 - 415/40 -10 (-132)/14 + 495/66*6/105 -9 1/(70/(-135)) - 180/(-72) 4/7 What is the value of (-86)/(-20) + (-48)/32 + 42/35? 4 What is the value of 0 - (-1)/6 - (-976)/1056? 12/11 Calculate 10 + (90/(-15) - 3). 1 Calculate 1/(-2)*(8060/(-420) + 19). 2/21 Calculate (33/(-110))/(-5 - -4)*(-8)/(-12). 1/5 Evaluate -20*(((-176)/(-110))/4)/((-4)/5). 10 What is -140*((-104)/(-91) - 1)/((-2)/4)? 40 Evaluate -37 + 42 - (2 - 152/(-24)). -10/3 What is (32/3 - 2)/((-256)/384)? -13 What is the value of 9 + ((-90)/9 - -3)? 2 What is ((-1)/(1 + (14 - 13)))/((-1)/(-2))? -1 What is (-3 + 9/189*65)/((-9)/42)? -4/9 Calculate (-150)/(-15) - -14 - 35. -11 Evaluate 12/((-612)/(-147)) - (-6)/(-2). -2/17 What is (3 - 6)/(231/(-385))? 5 Calculate (1/20)/(10/(-84) + 36/126). 3/10 What is ((-107)/((-2354)/(-132)))/(-7)? 6/7 What is the value of (35/10 - (-10)/(-2))/(4/(-8))? 3 (-112)/(-252)*6/16 - (-6431)/(-354) -18 What is the value of ((-60)/(-700)*14)/(3/15)? 6 (-200)/(-49980)*231 + (-4)/7 6/17 Evaluate 5*(-4)/(-20)*(-60)/96. -5/8 What is 312055/(-12510) - (-2)/(-36)? -25 What is the value of ((-255)/(-25) - 10)*-61 + 28/(-35)? -13 What is the value of (-8)/6*(-24 - 1235/(-52))? 1/3 Calculate -7 + (-56)/1428 + (-6)/(-153). -7 What is the value of (933/(-5909))/(1 + -4)? 1/19 What is the value of (15 + 3)*3/6? 9 Calculate (35/(-7))/(8/(-8)) + 7. 12 Evaluate ((-96)/128)/(12/42 + (-9)/56). -6 Calculate (60/(-21))/(12/(-21)). 5 Calculate ((-2160)/195 + 11)/(5*4/120). -6/13 What is (-18*(-18)/(-1296))/(6/16)? -2/3 Evaluate 9/12 - (8 - (7850/520 + -8)). -2/13 What is the value of -4 + 9/6*(-2002)/(-455)? 13/5 Calculate ((-10)/45)/(510/153 - (-4)/(-2)). -1/6 (78/9 + 2)*(195/6 + -33) -16/3 Evaluate -24 - -14 - (-5 - 7). 2 Calculate ((-44)/14)/22*1. -1/7 (-740)/11655*14/(-12) 2/27 What is ((-1394)/984)/(6/(-144))? 34 What is the value of ((-1125)/(-2700))/(1/(-3
{ "pile_set_name": "DM Mathematics" }
-2201100221 In base 13, what is 5 - 202294bc? -202294b7 In base 7, what is -4 - -1005631423? 1005631416 In base 10, what is -78 + 746330? 746252 In base 16, what is 21187 - 9a2? 207e5 In base 2, what is -1101 + 11111110010010110001110? 11111110010010110000001 In base 9, what is 2344316 + -175? 2344131 In base 3, what is 1011000112022000110 - -2? 1011000112022000112 In base 11, what is -193a5 + 3a9? -18aa7 In base 6, what is 3143542200 - 5? 3143542151 In base 16, what is -a40 + 40d85? 40345 In base 13, what is -476c7 + -1? -476c8 In base 16, what is 3657 - 19de? 1c79 In base 13, what is -7 + -33830a4? -33830ab In base 13, what is -274a3 + -491? -27964 In base 16, what is a + -98a60? -98a56 In base 13, what is -3 - -610389? 610386 In base 7, what is 5 - -103566414? 103566422 In base 6, what is -2034543 + -341? -2035324 In base 15, what is a9 + -71630? -71576 In base 14, what is 2 - 2c64a78? -2c64a76 In base 8, what is -2 - -173107517? 173107515 In base 9, what is -2 + -34785836? -34785838 In base 11, what is -57 - 274902? -274959 In base 9, what is 5375634 - 2? 5375632 In base 13, what is 22a32 - 879? 22186 In base 16, what is -e0b43a + 5? -e0b435 In base 13, what is -238058c - -1c? -2380570 In base 7, what is 245 + -2501342? -2501064 In base 6, what is 30 + -1442530524? -1442530454 In base 10, what is -10245844 - -4? -10245840 In base 11, what is a5 + -1573505? -1573410 In base 5, what is 1143341111 + 1141? 1143342302 In base 9, what is -171 + 4534? 4353 In base 15, what is -7a3 + -51c3? -5976 In base 13, what is -60 + 1350cb? 13506b In base 4, what is 2101222100 + 11? 2101222111 In base 8, what is -1203 + -177023? -200226 In base 8, what is 3 + 141226531? 141226534 In base 2, what is -10010 - -110111111111101101011111? 110111111111101101001101 In base 16, what is 28fbe6 - -55? 28fc3b In base 7, what is 45520 - 11341? 34146 In base 12, what is 0 + 19116b77? 19116b77 In base 9, what is -13 - 132515865? -132515878 In base 7, what is -1201260525 + 0? -1201260525 In base 10, what is -530 + -15182? -15712 In base 2, what is 11001000100110000 + -10001111? 11001000010100001 In base 16, what is 4c5 - 2b21? -265c In base 15, what is 34a33d - b? 34a332 In base 2, what is -100100 + 11001001000100000111101? 11001001000100000011001 In base 2, what is 11011110 + 10011100011111010? 10011100111011000 In base 4, what is -223110 + 200310130? 200021020 In base 2, what is -11110100111101000111011111 + 11? -11110100111101000111011100 In base 14, what is 12b696 + 86? 12b73c In base 16, what is 41 - 2aac00? -2aabbf In base 9, what is -170538247 + -2? -170538250 In base 8, what is 166 + 12632321? 12632507 In base 4, what is 103302110 - -1010? 103303120 In base 3, what is 122111 + -2110020? -1210202 In base 9, what is 0 + 465256158? 465256158 In base 6, what is 3104434003 + -24? 3104433535 In base 9, what is -128863 + 13? -128850 In base 8, what is 274 + 2573527? 2574023 In base 16, what is -40d1 + -1f4? -42c5 In base 10, what is 56 + -40952? -40896 In base 8, what is 621655 - 1272? 620363 In base 9, what is 1112 + 412715? 413827 In base 15, what is -4 + -2b8541? -2b8545 In base 12, what is -28ba374 - -2? -28ba372 In base 7, what is -6 + -2214423? -2214432 In base 13, what is 4aab215 + -1? 4aab214 In base 3, what is -101 - -100010212120? 100010212012 In base 15, what is 4 - 385cc9? -385cc5 In base 8, what is -5310 + 3522? -1566 In base 10, what is 29 - 7143705? -7143676 In base 8, what is -11675404 + 0? -11675404 In base 11, what is 350a9 - -356? 35454 In base 5, what is -14101033231 + 10? -14101033221 In base 10, what is 1057 - -354904? 355961 In base 2, what is -100111101100111 + 10000101? -100111011100010 In base 12, what is 141 + 793197? 793318 In base 13, what is 434c8 - 327? 431a1 In base 14, what is -3 + 13a4d288? 13a4d285 In base 8, what is -4425473 - 35? -4425530 In base 2, what is -110000100100001 - 101110010000? -110110010110001 In base 7, what is 651 - 1015351? -1014400 In base 4, what is -121100121 + 120123? -120313332 In base 3, what is 2 + 202122222112110? 202122222112112 In base 4, what is 1 - 1122032322? -1122032321 In base 9, what is 512187140 + -5? 512187134 In base 13, what is -341a92 - -13? -341a7c In base 12, what is a9b97660 + 1? a9b97661 In base 11, what is 765 + 6553? 7208 In base 5, what is 3110201022 + 42? 3110201114 In base 8, what is -317 + 2125015? 2124476 In base 9, what is 1 - -16652843? 16652844 In base 3, what is -1012202001 - -111102111? -201022120 In base 8, what is -10 + -11463111? -11463121 In base 16, what is 3 - 24c9aca? -24c9ac7 In base 13, what is 14745 + -67? 146ab In base 16, what is -1dc2 + 11d2? -bf0 In base 10, what is 585195 + 1229? 586424 In base 3, what is -11022222 - 202211222? -221011221 In base 2, what is -1000 + -100011001010100011110101011? -100011001010100011110110011 In base 10, what is -12 - -3701939? 3701927 In base 6, what is -5 - 342151125? -342151134 In base 16, what is -25 - -7230? 720b In base 6, what is -3225444 + 14203? -3211241 In base 2, what is 1000110001 + 101000011101? 110001001110 In base 7, what is -6601 + 40543? 30642 In base 2, what is 1011110 + 1100010110111001101000? 1100010110111011000110 In base 16, what is eda15 - 6? eda0f In base 14, what is 4d8 + d9913? da00b In base 9, what is -2107 - -5756? 3648 In base 7, what is 531 - -30015? 30546 In base 9, what is 383874 - 16? 383857 In base 5, what is 0 + -223011034204? -223011034204 In base 11, what is -2 - 8433882? -8433884 In base 10, what is -35134 - -411? -34723 In base 9, what is -5 - -4728522? 4728516 In base 10, what is 2 - -7257255? 7257257 In base 9, what is -37807 - 70? -37877 In base 11, what is -78 - -941745? 941678 In base 4, what is 2003 + -2101023? -2033020 In base 9, what is -146833 - 1378? -148322 In base 13, what is 9 - c288567? -c28855b In base 4, what is -1033101 - -12302? -1020133 In base 7, what is 61104553 + 2? 61104555 In base 15, what is 1348 - 4b23? -37ca In base 13, what is -6a - 369a1? -36a3b In base 5, what is -4331424 + 43314? -4233110 In base 2, what is 1001101 - 1010101011011101101? -1010101011010100000 In base 8, what is -345 - 273470? -274035 In base 12, what is 918 - 322? 5b6 In base 16, what is -32 - -14fd? 14cb In base 16, what is -2c2c - -131? -2afb In base 8, what is 14452651065 + 4? 14452651071 In base 4, what is -13203230131 - -30? -13203230101 In base 5, what is -1 + -1022334311? -1022334312 In base 11, what is 291578 - -11? 291589 In base 16, what is -2 - 61b169? -61b16b In base 13, what is -1b08a - -232a? -18a60 In base 15, what is -8 - 162060? -162068 In base 5, what is 441313023 - -31? 441313104 In base 11, what is 1a11 + 6a6? 2607 In base 13, what is -5 + -18b9b6? -18b9bb In base 3, what is 11 - 1121110011111001? -1121110011110220 In base 5, what is 30 + 222200333? 222200413 In base 9, what is 710012 - -168? 710181 In base 11, what is -51 + -28759? -287aa In base 6, what is -2311410103 - -12? -2311410051 In base 3, what is -122122002022010 - 1? -122122002022011 In base 6, what is 1153441 + -441? 1153000 In base 7, what is 2304 - 201103? -165466 In base 7, what is 322 + -451012? -450360 In base 2, what is -1001010111 - -1101001010011? 1011111111100 In base 4, what is 1000302321 - 12003? 1000230312 In base 5, what is 2122 + -4033231? -4031104 In base 8, what is -54730655 - -7? -54730646 In base 16, what is 3 + 169761? 169764 In base 8, what is 2340 - 72745? -70405 In base 16, what is 29bc + -1bd? 27ff In base 6, what is -24 - -20343210? 20343142 In base 6, what is -404054 - 30504? -435002 In base 5, what is -13414321 + -240? -13420111 In base 6, what is -350441133 - 5? -350441142 In base 13, what is 192c48 + 9? 192c54 In base 3, what is -20221012 - -1201111? -12012201 In base 13, what is -28371 - -55? -28319 In base 16, what is -c + 7a412d? 7a4121 In base 9, what is -447787825 + -3? -447787828 In base 4, what is -21031331202 + 2332? -21031322210 In base 11, what is 1 - 49399559? -49399558 In base 3, what is -10222210 + 110111101211? 110100102001 In base 8, what is 2755763 + -261? 2755502 In base 13, what is -13915 + 217b? -11767 In base 14, what is 2c8 - 1688? -13a0 In base 6, what is -2350233521 - -2? -2350233515 In base 2, what is -1011100011001111010110 - 110000? -1011100011010000000110 In base
{ "pile_set_name": "DM Mathematics" }
0, -77800, -77812, -77826? -n**2 - n - 77770 What is the w'th term of -111, -49, 17, 87, 161? 2*w**2 + 56*w - 169 What is the p'th term of -14, -95, -190, -305, -446? -p**3 - p**2 - 71*p + 59 What is the t'th term of -481, -263, 95, 593, 1231, 2009? 70*t**2 + 8*t - 559 What is the m'th term of -2999, -3106, -3213? -107*m - 2892 What is the l'th term of 3273, 3278, 3281, 3282, 3281, 3278? -l**2 + 8*l + 3266 What is the o'th term of -1504, -1534, -1584, -1654? -10*o**2 - 1494 What is the z'th term of -367, -453, -531, -601? 4*z**2 - 98*z - 273 What is the o'th term of 859204, 859182, 859140, 859072, 858972, 858834? -o**3 - 4*o**2 - 3*o + 859212 What is the i'th term of -137, -436, -929, -1628, -2545, -3692, -5081? -2*i**3 - 85*i**2 - 30*i - 20 What is the g'th term of 233053, 466100, 699147, 932194? 233047*g + 6 What is the f'th term of -1435, -1459, -1483, -1507? -24*f - 1411 What is the s'th term of -155, -351, -705, -1217, -1887, -2715? -79*s**2 + 41*s - 117 What is the v'th term of 2987, 5985, 8991, 12005? 4*v**2 + 2986*v - 3 What is the q'th term of 767, 1575, 2481, 3533, 4779, 6267? 8*q**3 + q**2 + 749*q + 9 What is the i'th term of -44, -370, -976, -1862? -140*i**2 + 94*i + 2 What is the k'th term of 3137, 3136, 3133, 3128? -k**2 + 2*k + 3136 What is the b'th term of 426, 910, 1394, 1878, 2362, 2846? 484*b - 58 What is the u'th term of -10196, -10183, -10166, -10145? 2*u**2 + 7*u - 10205 What is the b'th term of -6532, -6548, -6564, -6580, -6596? -16*b - 6516 What is the t'th term of -1296, -3818, -8014, -13878, -21404, -30586, -41418, -53894? t**3 - 843*t**2 - 454 What is the x'th term of 5282, 21072, 47390, 84236, 131610, 189512? 5264*x**2 - 2*x + 20 What is the w'th term of -1322, -1230, -1138, -1046, -954? 92*w - 1414 What is the r'th term of 241, 321, 387, 433, 453, 441? -r**3 - r**2 + 90*r + 153 What is the c'th term of -80, -146, -174, -146, -44? 3*c**3 + c**2 - 90*c + 6 What is the i'th term of -303, 181, 1487, 4023, 8197, 14417? 68*i**3 + 3*i**2 - i - 373 What is the q'th term of 67, 119, 231, 433, 755, 1227, 1879? 5*q**3 + 17*q + 45 What is the l'th term of 826, 1691, 2554, 3409, 4250, 5071? -l**3 + 5*l**2 + 857*l - 35 What is the m'th term of 22, -735, -2798, -6821, -13458, -23363, -37190? -109*m**3 + m**2 + 3*m + 127 What is the i'th term of 2313, 2370, 2451, 2556, 2685, 2838? 12*i**2 + 21*i + 2280 What is the h'th term of -166, -1483, -5100, -12181, -23890, -41391? -194*h**3 + 14*h**2 - h + 15 What is the f'th term of 226, 327, 248, -101, -810, -1969, -3668, -5997? -15*f**3 + 206*f + 35 What is the f'th term of -12290, -24576, -36856, -49130? 3*f**2 - 12295*f + 2 What is the c'th term of -945, -3719, -8343, -14817, -23141, -33315, -45339? -925*c**2 + c - 21 What is the u'th term of 119635, 239268, 358901, 478534? 119633*u + 2 What is the i'th term of 3617, 3646, 3675, 3704? 29*i + 3588 What is the p'th term of -432, -760, -1088, -1416? -328*p - 104 What is the f'th term of 761, 2101, 3441, 4781, 6121, 7461? 1340*f - 579 What is the z'th term of -5, -124, -493, -1238, -2485, -4360? -21*z**3 + z**2 + 25*z - 10 What is the q'th term of -33, -24, -9, 18, 63, 132, 231? q**3 - 3*q**2 + 11*q - 42 What is the l'th term of 949, 1915, 2881, 3847, 4813, 5779? 966*l - 17 What is the b'th term of 29376, 58755, 88134, 117513, 146892? 29379*b - 3 What is the u'th term of 41316, 82633, 123950, 165267, 206584, 247901? 41317*u - 1 What is the b'th term of 1096552, 1096559, 1096582, 1096627, 1096700, 1096807, 1096954, 1097147? b**3 + 2*b**2 - 6*b + 1096555 What is the m'th term of 15813, 15785, 15739, 15675, 15593, 15493? -9*m**2 - m + 15823 What is the n'th term of -1664, -5820, -12756, -22478, -34992? -n**3 - 1384*n**2 + 3*n - 282 What is the l'th term of -725, -1415, -2105, -2795, -3485? -690*l - 35 What is the t'th term of -222, -303, -378, -453, -534? -t**3 + 9*t**2 - 101*t - 129 What is the f'th term of 3911, 7817, 11723, 15629, 19535, 23441? 3906*f + 5 What is the b'th term of 4247, 8507, 12767, 17027? 4260*b - 13 What is the h'th term of 81, -33, -351, -975, -2007, -3549, -5703, -8571? -17*h**3 + 5*h + 93 What is the d'th term of 445, 1973, 4583, 8275? 541*d**2 - 95*d - 1 What is the p'th term of -9339, -18667, -27995, -37323, -46651, -55979? -9328*p - 11 What is the h'th term of -197268, -197272, -197278, -197286? -h**2 - h - 197266 What is the p'th term of -3337, -3262, -3183, -3106, -3037, -2982, -2947? -p**3 + 8*p**2 + 58*p - 3402 What is the i'th term of 138063, 138062, 138061? -i + 138064 What is the g'th term of 299, 553, 795, 1025, 1243? -6*g**2 + 272*g + 33 What is the t'th term of -784, -1567, -2352, -3139, -3928, -4719, -5512? -t**2 - 780*t - 3 What is the i'th term of 664, 1312, 1960, 2608? 648*i + 16 What is the l'th term of 64, 17, -82, -257, -532? -4*l**3 - 2*l**2 - 13*l + 83 What is the b'th term of 8189, 9169, 10149, 11129? 980*b + 7209 What is the k'th term of -1157, -2353, -3571, -4817, -6097? -k**3 - 5*k**2 - 1174*k + 23 What is the x'th term of -1468, -4065, -7798, -12673, -18696? -x**3 - 562*x**2 - 904*x - 1 What is the d'th term of -2085, -2161, -2287, -2463, -2689, -2965, -3291? -25*d**2 - d - 2059 What is the k'th term of -264, -1485, -3668, -6819, -10944, -16049? -k**3 - 475*k**2 + 211*k + 1 What is the w'th term of 3513, 3544, 3575, 3606? 31*w + 3482 What is the z'th term of 163, 609, 1377, 2491, 3975, 5853, 8149, 10887? 4*z**3 + 137*z**2 + 7*z + 15 What is the w'th term of 390, 1533, 3434, 6093, 9510, 13685, 18618? 379*w**2 + 6*w + 5 What is the o'th term of 16602733, 16602732, 16602731, 16602730? -o + 16602734 What is the b'th term of -10241, -81881, -276339, -655025, -1279349, -2210721? -10235*b**3 + b**2 + 2*b - 9 What is the v'th term of -12841, -25673, -38503, -51331, -64157, -76981? v**2 - 12835*v - 7 What is the h'th term of 2, -62, -186, -370, -614, -918? -30*h**2 + 26*h + 6 What is the i'th term of 418, 1142, 2176, 3520, 5174? 155*i**2 + 259*i + 4 What is the w'th term of 483, 834, 1185, 1536, 1887, 2238? 351*w + 132 What is the o'th term of 555, 2618, 4679, 6738, 8795, 10850, 12903? -o**2 + 2066*o - 1510 What is the h'th term of 227719, 227721, 227723, 227725? 2*h + 227717 What is the h'th term of -1598, -2802, -4008, -5216, -6426, -7638? -h**2 - 1201*h - 396 What is the v'th term of -249, -1051, -2403, -4305, -6757? -275*v**2 + 23*v + 3 What is the j'th term of 13465, 13459, 13453, 13447? -6*j + 13471 What is the d'th term of 27525, 55053, 82585, 110121? 2*d**2 + 27522*d + 1 What is the i'th term of 10324, 20632, 30916, 41170, 51388? -i**3 - 6*i**2 + 10333*i - 2 What is the d'th term of 474, 983, 1538, 2163, 2882, 3719, 4698? 4*d**3 - d**2 + 484*d - 13 What is the h'th term of -446, -495, -544, -593? -49*h - 397 What is the f'th term of 575344, 575349, 575358, 575371, 575388, 575409, 575434? 2*f**2 - f + 575343 What is the y'th term of 2133, 4245, 6357, 8469? 2112*y + 21 What is the x'th term of 45, 95, 133, 147, 125, 55, -75? -2*x**3 + 6*x**2 + 46*x - 5 What is the b'th term of 9722, 9719, 9716, 9713, 9710, 9707? -3*b + 9725 What is the d'th term of -74020, -148053, -222086, -296119, -370152? -74033*d + 13 What is the d'th term of 1396, 5579, 12552, 22315, 34868? 1395*d**2 - 2*d + 3 What is the n'th term of -82439, -82446, -82465, -82502, -82563? -n**3 - 82438 What is the l'th term of 80, 208, 422, 722, 1108, 1580, 2138? 43*l**2 - l + 38 What is the t'th term of -1914, -1902, -1882, -1854, -1818, -1774, -1722? 4*t**2 - 1918 What is the w'th term of -123, -149, -175, -201, -227? -26*w - 97 What is the a'th term of -28, 89, 290, 617, 1112, 1817, 2774, 4025? 7*a**3 + 68*a - 103 What is the c'th term of 13904, 13898, 13892? -6*c + 13910 What is the b'th term of 999734, 999729, 999722, 999713? -b**2 - 2*b + 999737 What is the m'th term of -1143, -2277, -3425, -4593, -5787, -7013, -8277, -9585? -m**3 - m**2 - 1124*m - 17 What is the a'th term of -818764, -818767, -818770, -818773, -818776? -3*a - 818761 What is the f'th term of -114, -528, -1236, -2238, -3534, -5124, -7008? -147*f**2 + 27*f + 6 What is the t'th term of 243, 195, 63, -195, -621, -1257, -2145, -3327? -7*t**3 + t + 249 What is the g'th term of -27370, -27378, -27398, -27436, -27498, -27590, -27718, -27888? -g**3 - g - 27368 What is th
{ "pile_set_name": "DM Mathematics" }
Let p(g) = 1. Let q(j) = -2*j**2 + 2*j - 7. Suppose 0 = -0*c - 4*c + 8. Suppose 7*i - c*i - 30 = 0. Calculate i*p(r) + q(r). -2*r**2 + 2*r - 1 Let j(n) = 8*n**3 + 3*n**2 - 3*n + 1. Let u(g) = -9*g**3 - 4*g**2 + 4*g - 2. Determine 4*j(q) + 3*u(q). 5*q**3 - 2 Let t(y) = -8*y. Let j be ((-2)/3)/(4/6). Let k(f) = 7*f - 9. Let l(w) = -3*w + 4. Let a(q) = 4*k(q) + 9*l(q). Determine j*t(b) - 6*a(b). 2*b Let q(o) = -o**2 + 3*o + 9. Let t be 3 + -1 + 3*-3. Let r be -5 - t - 1*-3. Let u(n) = 2*n**2 - 5*n - 14. Calculate r*u(c) + 8*q(c). 2*c**2 - c + 2 Suppose -4*f = -4*n - 0*n + 32, 7 = f + 2*n. Let p(s) = -4*s**3 + 10*s**2 + 10. Let k(h) = -h**3 + 3*h**2 + 3. Give f*p(w) + 10*k(w). 2*w**3 Let c(y) be the third derivative of y**4/4 + 4*y**3/3 - y**2. Let u(t) = 15*t + 19. Let l(i) = 8*i + 10. Let z(f) = 5*l(f) - 3*u(f). What is -6*c(b) - 7*z(b)? -b + 1 Let l(n) = 2943*n + 72. Let f(c) = 203*c + 5. What is 72*f(j) - 5*l(j)? -99*j Let r(y) = -y**2 + 2*y - 3*y**2 + y**2 - y**2 - 1. Let z(g) = 5*g**2 + 2 - g**2 - 5*g + 7*g**2. Calculate -8*r(u) - 3*z(u). -u**2 - u + 2 Let n(g) = 0*g**2 - 5*g + 3*g**2 + 6 + 0*g**2 - 4. Let l(w) = w**2 - 2*w + 1. Give 10*l(t) - 4*n(t). -2*t**2 + 2 Let x(b) = -b**3 - 1. Let t(y) = y**3 + 6*y**2 + 2. Calculate t(i) + 2*x(i). -i**3 + 6*i**2 Let v(f) = f + 3. Let s(w) = -w - 1. Let i(y) = -2*s(y) - v(y). Let l(z) = 4*z - 4. Calculate -18*i(m) + 4*l(m). -2*m + 2 Let k be (-21 + -1)*7/(-14). Suppose 0*o + 5*d = o + k, 3*o + 20 = 2*d. Let i(f) = 8*f**2 - 6. Let u(b) = -7*b**2 + 5. Calculate o*u(t) - 5*i(t). 2*t**2 Let k(z) = -z**3 + z**2 - 1. Let w(n) = -3*n**3 + 2*n**2 + n - 1. Give -2*k(u) + w(u). -u**3 + u + 1 Let j(m) = -m**2 - m - 2. Let o(z) = -1. Let u = -1 - -2. Suppose 2*v - 3 = u. Calculate v*o(a) - j(a). a**2 + a Let p(r) = 3*r**2 - 6*r**2 + 3*r**2 + r - r**2. Let n(q) = 4*q**2 - q - 2. Give n(k) + 3*p(k). k**2 + 2*k - 2 Let v(l) = -8*l + 6. Let u(q) = 105*q - 77. Determine -6*u(o) - 77*v(o). -14*o Let u(i) = -4*i**3 - 6*i**2 + 4*i - 1. Let n(j) = 17*j**3 + 25*j**2 - 17*j + 4. What is -6*n(r) - 26*u(r)? 2*r**3 + 6*r**2 - 2*r + 2 Let t(i) = 4*i + 1. Let u(x) = 3*x + 1. Let c(f) = 2*t(f) - 3*u(f). Let g(y) = 3. Suppose -a = -0*k + 2*k - 7, k = -2*a + 11. Calculate k*g(s) + 2*c(s). -2*s + 1 Let b(k) be the second derivative of 2*k**3/3 - 4*k**2 + k. Let o(z) be the third derivative of -z**4/24 + z**3/3 - 24*z**2. Calculate -2*b(m) - 9*o(m). m - 2 Let y(b) = 7*b**2 - 6*b. Let c(o) = 78*o**2 - 65*o. Determine -6*c(s) + 65*y(s). -13*s**2 Let y(r) = -2*r - 5. Let c(t) = -5*t - 9. Determine -3*c(g) + 5*y(g). 5*g + 2 Let o(j) = 3*j - 3. Let s(h) = 4*h - 4. Give -6*o(c) + 5*s(c). 2*c - 2 Let z(k) = -3*k + 2. Let m(n) = -n + 1. Let u be ((-1)/(-2))/(6/60). Give u*m(o) - 2*z(o). o + 1 Let n(j) = 3*j. Let v(t) = -6*t. Give 14*n(o) + 6*v(o). 6*o Let a(q) = -10*q - 11*q + 16*q - 3. Let r(h) = 2*h + 1. Calculate 4*a(g) + 11*r(g). 2*g - 1 Let y(k) = -k**2 + k + 1. Let s(p) = 1. Give s(o) + y(o). -o**2 + o + 2 Let r(u) = 2*u + 5. Let p(s) = -3*s + 3. Let c be p(2). Let i(y) = 1. Let x(j) = -3*j - 9. Let l(k) = 3*i(k) + x(k). Determine c*l(a) - 4*r(a). a - 2 Let q(t) = t + 1. Let a(z) = 3*z**3 + 4*z + 4. Determine a(n) - 4*q(n). 3*n**3 Let u(d) = -d. Let b(x) = 4*x. Let z(l) = -b(l) - 3*u(l). Let c(q) = 2*q**3 - q. Give -3*c(p) + 3*z(p). -6*p**3 Let p(z) = -z**3 - z**2 + z. Let y(q) = q + 4. Let b be y(-4). Suppose 4*f - 9*f - 25 = b. Let r(a) = 6*a**3 + 3*a**2 - 6*a. Calculate f*p(t) - r(t). -t**3 + 2*t**2 + t Let j(y) = 13*y + 9. Let u be (-12)/24 - (-11)/2. Let n(h) = -14*h - 8. Let b(g) = u*j(g) + 4*n(g). Let s(a) = -5*a - 7. Determine 4*b(x) + 7*s(x). x + 3 Let c(j) = 14*j**3 + 8*j**2 - 8*j + 5. Let i = 6 + -4. Let v(r) = 3 - 3*r + 5*r**3 + 2*r**i - 1 + r**2. Give 3*c(h) - 8*v(h). 2*h**3 - 1 Let l(c) = 5*c. Let x(a) = 64*a. Give 80*l(v) - 6*x(v). 16*v Let v(s) = 9*s + 2. Let f(w) = -37*w - 9. Give -4*f(n) - 18*v(n). -14*n Let u(s) = 2*s**3 + 3*s**2 - s. Suppose 5*b = -b - 24. Let v(g) = 3*g**3 + 4*g**2 - 2*g - 1. Give b*u(q) + 3*v(q). q**3 - 2*q - 3 Let t(j) = -j**2 + j. Let n be 3/2 + (-1)/(-2). Suppose -k - 6 = -x - 2, -n*k + 22 = 3*x. Let w(a) = 4*a**2 - 6*a + 1. Determine x*t(g) + w(g). -2*g**2 + 1 Let i(m) = 3*m - 14. Let h(b) = -3*b + 13. Determine -6*h(q) - 5*i(q). 3*q - 8 Let v(s) = -5*s + 7. Let a(x) = -14*x + 22. Determine -3*a(b) + 8*v(b). 2*b - 10 Let y be (0 + -3)/(1/1). Let k be (-1*1)/(y/9). Let q(r) = 4. Let n(v) be the third derivative of -v**5/60 - 5*v**3/6 + 33*v**2. What is k*q(w) + 2*n(w)? -2*w**2 + 2 Let z(h) = -2*h + 9. Let t(y) = -1. Let n(i) = -5*t(i) - z(i). Let w(s) be the second derivative of -s**3/3 + 3*s**2/2 + s. Determine -5*n(j) - 6*w(j). 2*j + 2 Let w be 5/3 + (-6)/9. Let t(a) = 4*a - 1. Let r(d) = 1 - 1 + d. Give w*t(y) - 3*r(y). y - 1 Let q(g) = -17*g**2 + g - 11. Let a(z) = 6*z**2 + 4. Determine -11*a(b) - 4*q(b). 2*b**2 - 4*b Let r(f) = f. Let w(h) = -17*h**3 + 153*h. Determine -306*r(n) + 2*w(n). -34*n**3 Let y(j) = -3*j - 5. Let f(o) = o + 3. Give -10*f(b) - 4*y(b). 2*b - 10 Let s(c) = -5*c**2 - 1. Let v(t) = 1. Determine -2*s(o) - 2*v(o). 10*o**2 Let q(w) be the third derivative of w**5/60 - w**4/8 + w**3/6 + w**2 + 9*w. Let i(y) = -5*y**2 + 13*y - 4. Give 2*i(h) + 9*q(h). -h**2 - h + 1 Let v(m) = 17*m**2 + 4*m + 4. Let a(w) = -w - 1. Give 4*a(y) + v(y). 17*y**2 Let i(j) = -14*j - 1. Let r(y) = 29*y + 3. What is 7*i(g) + 3*r(g)? -11*g + 2 Let l(k) = -11*k - 5. Let t(h) = -10*h - 5. Let y(n) = -6*l(n) + 7*t(n). Let a(w) = -w - 1. Calculate 11*a(q) - 2*y(q). -3*q - 1 Let l(v) = -17*v**2 + 4*v. Let x(q) = 390*q**2 - 91*q. What is -91*l(w) - 4*x(w)? -13*w**2 Let v = -2 - -7/3. Let y(n) be the third derivative of 1/60*n**5 + 0*n + v*n**3 + 1/12*n**4 - 2*n**2 + 0. Let z(m) = m**2 + 2*m + 2. Determine -6*y(q) + 5*z(q). -q**2 - 2*q - 2 Let o(w) = -2*w**2 - 5*w. Let r(a) = -2*a**2 - 4*a. Suppose 5*y + 5 + 15 = 0. Calculate y*o(g) + 5*r(g). -2*g**2 Let j(f) = -13*f - 7. Let h(w) = 6*w + 3. Let r = 0 + 4. Let v be (-68)/16 - (-1)/r. Determine v*j(l) - 9*h(l). -2*l + 1 Let u(i) = -i + 1. Let t(k) = -k**3 + 2*k**2 - 2*k + 1. Determine t(o) - 2*u(o). -o**3 + 2*o**2 - 1 Let o(c) = c**2. Let f(r) = -r**2. Calculate 5*f(m) + 10*o(m). 5*m**2 Let v be (6/21)/((-1)/(-7)). Let r(f) = -4*f - 2 + 1 + 5 + 2*f**v. Let k(o) = -5*o**2 + 9*o - 9. Determine -4*k(i) - 9*r(i). 2*i**2 Let n(f) = -f - 5. Let x(k) = -k - 6. Calculate 5*n(g) - 4*x(g). -g - 1 Let l(a) = -1. Let n(h) = -16*h - 176. Calculate -704*l(r) + 4*n(r). -64*r Let k(a) = a**3 + 3*a**2 + 2*a - 1. Let q(w) = w**2 + w - 1. Suppose -d = -0 + 2. Calculate d*q(v) + k(v). v**3 + v**2 + 1 Let k(o) = -4*o**3 + 3*o**2 - 3*o - 3. Let x(a) = 7*a**3 - 6*a**2 + 5*a + 6. Let h(d) = -5*k(d) - 3*x(d). Let i(l) = -l**3 + 2*l**2 - 2. Give 2*h(w) - 3*i(w). w**3 Let m(y) = -y**2 - y + 1. Let p(g) = 12*g**2 + 10*g - 10. Let i(t) = -5*m(t) - p(t). Let o(k) = -3*k**2 - 2*k + 2. What is 2*i(v) - 5*o(v)? v**2 Suppose 3 = -3*b + 21. Let x be (-12)/(-18) - 28/b. Let u be (14/3)/(2/3). Let h(t) = -2*t - 6. Let l(p) = -4*p - 11. What is u*h(d) + x*l(d)? 2*d + 2 Let q(l) = l - 1. Let b(u) = -12*u + 15. Calculate b(i) + 15*q(i). 3*i Let m(g) = -1. Let j(a) = 4*a. Let v(s) = 1. Let h(i) = -j(i) + 2*v(i). Determine -h(f) - 3*m(f). 4*f + 1 Let v(w) = 0*w**2 - 13*w**3 + 13*w + 3*w**2 + 10 + 4*w**2 - 14. Let x(a) = 3 - 9*a + a - 5*a**2 + 9*a**3 - a. Determine 5*v(n) + 7*x(n). -2*n**3 + 2*n + 1 Let o be 0 + (-5)/2*2. Let c be (o - -2)/(18/96). Suppose -2 + 22 = -4*x. Let k(w) = 10*w + 16. Let j(y) = -3*y - 5. What is c*j(h) + x*k(h)? -2*h Let b(x) = -3*x - 4. Let t(u) = -24*u - 33. Let h = 18 - 51. Give h*b(p) + 4*t(p). 3*p Let r(o) = -3*o**2 + 5*o. Let a(q) be the second derivative of -q**4/6 + q**3/2 + q. What is -5*a(i) + 3*r(i)? i**2 Let c(h) = -2*h - 2. Let f(d) be the second derivative of -2*d**3/3 - 2*d**2 + 3*d. Calculate -7*c(r) + 4*f(r). -2*r - 2 Let v(z) = 8*z**2 + 11*z. Let q(m) = -3*m**2 - 4*m. Let c = -26 - -30. What is c*v(b) + 11*q(b)? -b**2 Let x(q) = 5*q**3 - 3*q - 3. Let w(a) = -a**3 - a - 1. What is 3*w(r) - x(r)? -8*r**3 Let i(x) = 15*x**2 - 9*x + 13. Let z(l) = 7*l**2 - 4*l + 6. Let j be (3 - 7) + (0 - 2). What is j*i(t) + 13*z(t)? t**2 + 2*t Let m be (1 - 2) + 1 + 6.
{ "pile_set_name": "DM Mathematics" }
e in fourty-three quarters of a micrometer? 10750 How many kilograms are there in nineteen quarters of a tonne? 4750 How many nanometers are there in thirteen quarters of a micrometer? 3250 What is 7/2 of a tonne in kilograms? 3500 How many micrograms are there in 7.659201g? 7659201 How many meters are there in 1/4 of a kilometer? 250 What is 11/2 of a millisecond in microseconds? 5500 How many nanograms are there in 0.9869495 tonnes? 986949500000000 How many centimeters are there in 3/8 of a kilometer? 37500 Convert 61774.07 centuries to years. 6177407 What is 7529.919 grams in micrograms? 7529919000 What is 3/8 of a meter in millimeters? 375 How many kilometers are there in 0.4025306 centimeters? 0.000004025306 How many millilitres are there in one tenth of a litre? 100 How many milliseconds are there in 1127.19 seconds? 1127190 How many years are there in 3/5 of a millennium? 600 How many micrograms are there in 1/10 of a gram? 100000 Convert 83012.91ml to litres. 83.01291 Convert 990.887mm to nanometers. 990887000 What is eighteen fifths of a century in months? 4320 What is 764.089cm in nanometers? 7640890000 Convert 79788.5 millimeters to kilometers. 0.0797885 How many decades are there in 0.9357095 millennia? 93.57095 How many nanograms are there in 53.3858 grams? 53385800000 How many meters are there in 80082.16nm? 0.00008008216 Convert 0.3628642 days to hours. 8.7087408 What is 21.80195 meters in micrometers? 21801950 How many milligrams are there in 3/5 of a gram? 600 What is one tenth of a microgram in nanograms? 100 How many centimeters are there in 0.3707195m? 37.07195 Convert 95.50152ml to litres. 0.09550152 What is 17/4 of a decade in months? 510 How many millilitres are there in 29/2 of a litre? 14500 What is 0.2680433ug in kilograms? 0.0000000002680433 How many centuries are there in 5.335941 millennia? 53.35941 How many months are there in 1/6 of a century? 200 How many kilograms are there in thirty-one fifths of a tonne? 6200 What is 11/4 of a millimeter in micrometers? 2750 How many grams are there in fifty-one halves of a kilogram? 25500 Convert 495276.7 centimeters to kilometers. 4.952767 What is 66.68347g in micrograms? 66683470 What is fifty-one quarters of a kilogram in grams? 12750 How many years are there in 1.1575608 months? 0.0964634 What is one quarter of a meter in millimeters? 250 What is 1519.723 millilitres in litres? 1.519723 How many millilitres are there in 314110.6l? 314110600 How many months are there in 88311.27 millennia? 1059735240 What is 19/4 of a millennium in years? 4750 What is three tenths of a litre in millilitres? 300 What is 30.12947 millennia in months? 361553.64 How many millilitres are there in seventeen halves of a litre? 8500 How many millilitres are there in 71/4 of a litre? 17750 What is 0.6283157mm in centimeters? 0.06283157 What is 13/5 of a litre in millilitres? 2600 How many years are there in 13/4 of a millennium? 3250 What is seven eighths of a hour in seconds? 3150 How many weeks are there in 5.2085656 days? 0.7440808 What is 0.320796s in nanoseconds? 320796000 What is 8353.142 weeks in milliseconds? 5051980281600 What is 9/10 of a day in seconds? 77760 Convert 53855.9nm to micrometers. 53.8559 How many nanograms are there in 1/10 of a milligram? 100000 Convert 67.25676 decades to centuries. 6.725676 How many seconds are there in 52/3 of a minute? 1040 How many centimeters are there in 170.6094nm? 0.00001706094 Convert 0.4427622 millennia to centuries. 4.427622 Convert 0.528721 kilometers to micrometers. 528721000 How many millilitres are there in thirty-one fifths of a litre? 6200 What is 2/125 of a litre in millilitres? 16 What is 88.315059 hours in weeks? 0.525684875 Convert 8795.292ns to microseconds. 8.795292 How many micrograms are there in fifteen quarters of a milligram? 3750 How many years are there in 386606.1 centuries? 38660610 Convert 221.0699l to millilitres. 221069.9 What is 172605.4785 milliseconds in weeks? 0.00028539265625 How many tonnes are there in 3048.935 grams? 0.003048935 How many seconds are there in 2/75 of a day? 2304 What is one fifth of a micrometer in nanometers? 200 What is twenty-nine thirds of a decade in months? 1160 How many meters are there in six fifths of a kilometer? 1200 What is 7/2 of a millisecond in microseconds? 3500 How many seconds are there in 9/25 of a hour? 1296 Convert 27160.3l to millilitres. 27160300 How many litres are there in 578.538 millilitres? 0.578538 What is twenty-seven quarters of a kilometer in meters? 6750 What is 887608.3 weeks in seconds? 536825499840 How many months are there in thirty-two fifths of a millennium? 76800 How many hours are there in 3/56 of a week? 9 What is 5674.676 millennia in months? 68096112 What is 352889.8 days in milliseconds? 30489678720000 How many minutes are there in thirteen quarters of a hour? 195 What is 29/5 of a litre in millilitres? 5800 What is 3/8 of a millimeter in micrometers? 375 What is fourty-two fifths of a minute in seconds? 504 What is one quarter of a century in years? 25 How many decades are there in three tenths of a century? 3 How many micrograms are there in eleven halves of a milligram? 5500 What is fourty-three thirds of a hour in seconds? 51600 What is 3/25 of a meter in millimeters? 120 How many millilitres are there in 6/25 of a litre? 240 How many nanometers are there in 3/5 of a micrometer? 600 What is 344.3467m in millimeters? 344346.7 What is 74/7 of a week in hours? 1776 What is 1/6 of a week in minutes? 1680 How many millilitres are there in eighty-seven halves of a litre? 43500 Convert 294497.7cm to kilometers. 2.944977 How many decades are there in 1/5 of a millennium? 20 What is fifteen quarters of a hour in minutes? 225 What is 23/6 of a day in minutes? 5520 How many milligrams are there in 20419.57 kilograms? 20419570000 What is 2456.939 micrometers in meters? 0.002456939 Convert 22757.69mm to nanometers. 22757690000 How many millilitres are there in 11/8 of a litre? 1375 What is fourty-nine fifths of a hour in seconds? 35280 Convert 66374.1 months to centuries. 55.31175 What is 54230.2 kilometers in centimeters? 5423020000 What is one fifth of a gram in milligrams? 200 How many seconds are there in two fifteenths of a minute? 8 How many seconds are there in thirteen fifths of a minute? 156 How many minutes are there in 15/4 of a day? 5400 How many months are there in 9449.926 millennia? 113399112 How many millilitres are there in 3/8 of a litre? 375 How many milliseconds are there in 5/4 of a second? 1250 What is 1/4 of a millimeter in micrometers? 250 What is 4.2808122 milliseconds in weeks? 0.0000000070780625 Convert 6206.328 micrometers to meters. 0.006206328 Convert 94386.96 meters to micrometers. 94386960000 What is 76/5 of a tonne in kilograms? 15200 What is 17/2 of a meter in millimeters? 8500 How many days are there in 1159321.5 hours? 48305.0625 Convert 938.3634 tonnes to milligrams. 938363400000 How many microseconds are there in 9.042324ms? 9042.324 How many micrograms are there in 4597.462t? 4597462000000000 How many decades are there in 53/5 of a century? 106 What is seven quarters of a gram in milligrams? 1750 How many nanograms are there in 6.75879kg? 6758790000000 What is 0.1557609t in milligrams? 155760900 Convert 72002.8km to millimeters. 72002800000 What is 3/40 of a litre in millilitres? 75 What is twenty-one halves of a milligram in micrograms? 10500 Convert 0.545174 days to milliseconds. 47103033.6 How many months are there in 913.3583 years? 10960.2996 What is 3/50 of a millimeter in micrometers? 60 How many seconds are there in 0.0710698 milliseconds? 0.0000710698 What is 5/4 of a milligram in micrograms? 1250 How many decades are there in 13/5 of a millennium? 260 What is 57/7 of a week in days? 57 What is thirty-one sixths of a hour in minutes? 310 What is 42357.32 meters in nanometers? 42357320000000 How many millilitres are there in 589.9183 litres? 589918.3 What is 969.7642 decades in years? 9697.642 Convert 432.5577t to micrograms. 432557700000000 How many milligrams are there in 1/64 of a kilogram? 15625 Convert 4005.949 nanoseconds to seconds. 0.000004005949 How many years are there in three fifths of a millennium?
{ "pile_set_name": "DM Mathematics" }
+ 2 - (-115 + 122) -10 What is -4 - 16 - (-556 + 547)? -11 What is -18 + 5 - (42 + -68)? 13 Evaluate 8 - ((4 - 7 - 1) + -3 + 3). 12 Evaluate (-17 - 43) + (22 - -8). -30 What is 5 - (-20 + 6 + -4)? 23 -4 - (5 + -6) - (6 - 6 - -4) -7 4 + 2 - (45 - 49) 10 Evaluate (42 - 19) + 2 + -12. 13 What is the value of (12 - 21 - -10) + -14 + 8 - -6? 1 (-35 + 17 - -15 - (1 + -15)) + -28 -17 Calculate (-1 - (6 - (6 - 14))) + 46. 31 6 - (121 + -112 - (6 + 1)) 4 Evaluate 29 - (-1 + (9 - 2 - -2)). 21 Calculate -10 + (-119 - -112) + (6 - -2). -9 What is -17 + (37 - (21 - 17)) - 12? 4 Calculate -5 + 10 + -6 + 3 + 3 + -3. 2 Calculate 7 + -2 + -14 + 14. 5 What is the value of -6 - (6 - (11 - 7 - 7))? -15 What is the value of -1 - ((-18 - -39) + -4)? -18 -5 + (-8 - 0 - -10) + 4 1 What is the value of 14 + -17 + (11 - -4 - 6)? 6 (-10 + -3 - -8) + -14 - -16 -3 What is the value of (0 - 4) + (-7 - -38) + -29? -2 Calculate 5 + 0 + 5 + (-2 - 8) + -15. -15 Calculate 0 + 2 - -6 - (41 - 37). 4 Calculate 3 - ((1 - -4) + -34 + 31 + 4). -3 Calculate (-1 - (-5 - 1)) + (91 - 121) + -9. -34 -5 - ((-5 - 6) + 10 - 12) 8 What is 45 + -10 + 26 + -58? 3 Calculate 1 + -1 - (16 + 0). -16 Calculate -5 - 0 - (82 + -91). 4 What is the value of -27 + 12 + 40 - 14? 11 What is -7 + -5 + 29 + -12? 5 What is the value of 112 - 140 - (-40 + 7)? 5 What is the value of 22 + (4 - 2) + -2 - (95 + -92)? 19 What is -59 - (1 + -24) - -10? -26 What is -37 + -25 + 54 - (3 - 0 - 6)? -5 What is 1 + (-1 + 9 + 21 + -34 - -19)? 15 What is 25 - (13 - (7 + 13))? 32 What is the value of -15 + 2 + 13 + -6? -6 What is (6 + (9 - 3) - -5) + 1? 18 What is the value of 53 + 0 + 223 + -224 - 11 - 5? 36 What is the value of 13 + (-12 + 18 - (-4 + 11 + -4))? 16 What is (7 - 3 - 3) + (3 - (25 + 4))? -25 What is 3 + -19 + (-11 + 14 - 5)? -18 What is -1 + -2 + (0 - -5) - -9? 11 15 + 1 - (2 + -3 - -5) 12 Evaluate -10 + 5 - (-3 - (-1 - 7)). -10 (3 - -2) + 11 - 1 15 1 - (1 - 6 - -8) - -5 3 Calculate -12 + 16 + -9 - (-1 - 6) - 5. -3 Evaluate (5 - 0) + (1 - 1) + -17 + 10. -2 18 + -1 + (18 - 28) 7 38 + -45 + (22 - 6) 9 What is -47 + 19 + 17 - 17? -28 What is the value of 1 - -2 - (2 + 2 - (94 + -102))? -9 What is -7 + (0 - -6) + (-5 - (-2 + 5))? -9 Evaluate 12 + (-3 + -1 - (-131 - -127)). 12 Evaluate 16 + -11 - (11 - (1 + -3)) - -42. 34 Calculate 3 - (-1 - 0) - (-1105 + 1119). -10 What is the value of 21 + 2 + -4 + 0 + -9? 10 57 - (4 + (-33 - -58)) 28 Calculate (11 - 0) + (-11 - (-6 + 1)). 5 3 + -5 + -4 + -2 + 6 -2 What is 2 + -8 - -3 - (1 + 4)? -8 Evaluate -18 + 7 + -2 + (-5 - -4). -14 What is the value of 1 + 6 + 6 + -13? 0 Evaluate -35 + 41 - ((0 - 3) + 21 + -1). -11 What is the value of -6 - (11 - (9 - -6 - -6))? 4 -4 + 0 + (-2 - -2) - (544 + -557) 9 What is the value of -9 - (-13 + (7 - 14) + 7)? 4 5 + 2 - ((-12 - -19) + (1 - -11)) -12 Calculate 7 - 2 - -24 - (2 - -14). 13 What is (-6 - -1) + -2 + 2 + 0 + 0? -5 What is the value of (5 - (-7 + 7) - 10) + -1? -6 What is the value of -56 + 24 + -24 + 35? -21 What is the value of 16 - 16 - 18 - -11? -7 What is the value of 34 - (35 + -6 - -2)? 3 Calculate 1 - -3 - (-48 + 20 + 59). -27 What is (-50 - -50) + (-2 - -37) + 0? 35 -19 + 30 + 31 - 24 18 What is the value of -9 - (-6 + -4) - -3? 4 Evaluate 15 - 33 - (-5 - 7 - -6). -12 Calculate (-2 - 2) + -1 + -9 + (1 - -9). -4 Calculate -1 - (8 + 8) - (-2 + 10 - -2). -27 What is 4 + 2 + (-11 - (-2 + -12))? 9 What is (-5 - -33) + -32 + -25? -29 10 + (-16 - (4 - 5)) - -14 9 Evaluate -4 - 0 - (18 - 27 - -5) - 26. -26 Evaluate (14 - 12 - -3) + -10. -5 What is the value of 23 + (54 + -25 - 39)? 13 What is the value of -3 - ((-1 - 17) + 13)? 2 Evaluate (2 - 5 - -18) + -34 + 34. 15 What is the value of -7 + 25 + -10 + -20 - -7? -5 What is the value of (0 - (39 + -4)) + -22 + 34? -23 What is the value of -89 + 85 - (-7 - 2 - 2)? 7 Calculate -20 + (-7 - (-11 + -5)) + -18. -29 What is (4 - (-2 + -3 + 11) - -25) + 10? 33 What is (0 - 6) + (-29 - (-57 - -36))? -14 What is the value of 0 - -8 - 1 - (19 + (-18 - -21))? -15 Evaluate -7 + -4 + -10 - 3. -24 What is the value of (16 - -17) + -13 + -5 + -3? 12 12 + (-1 + -7 - -3) + -11 -4 Calculate -8 + 17 + -8 - -2. 3 -6 - (331 + -333 + (0 - (-2 - -34))) 28 Calculate -35 - -41 - (7 + -23 + 1). 21 17 + (-2 + 12 - 18) - (1 - 0) 8 Evaluate 27 - (-24 + 7 + 51). -7 What is 32 + -46 + (35 - 29)? -8 What is -5 + 6 + 7 + -6 + 9? 11 (4 - 0 - 2) + 6 + -25 -17 What is -26 + 1 + -1 + (-97 - (-20 - 76))? -27 What is the value of 3 + 82 + -83 + 0 + -4 + -2? -4 What is (8 - (0 - -14)) + 1? -5 What is the value of -16 + (26 - -12 - 19)? 3 What is 11 - -4 - ((53 - 4) + -7)? -27 Calculate (0 - (2 - 4) - (-136 + 134)) + 7. 11 Evaluate -2 + 11 + -9 - (4 + -2 + -25). 23 What is the value of (35 - 8) + -14 - -1 - 3? 11 Calculate (-6 - (-3 + -12)) + -5 + 9. 13 Evaluate -400 + 385 - (-34 - -1). 18 Evaluate (2 - (-2 - -1)) + (27 - -6) + -29. 7 Evaluate -276 - -276 - (-1 - -1 - 17). 17 Calculate 12 + -22 - -15 - -5. 10 (11 - (7 + 12 - 4)) + 8 + -2 2 -11 - -18 - (-4 - -10 - 10) 11 Evaluate 7 + (-15 + 15 - 9). -2 What is the value of (-9 - (-2 + (-8 - -16) - 7)) + 7? -1 What is (-1 - (-5 - 0)) + (91 - 94)? 1 What is 5 + -3 + (34 - 24 - -4)? 16 Calculate -22 - (2 + -4 + 12 + -22). -10 What is the value of (-5 + 3 - (-20 + 6)) + (19 - 23)? 8 What is the value of -7 - -20 - 10 - -13? 16 Calculate -2 - -6 - (-7 - (-10 + -5)). -4 Evaluate (-16 - -34) + -12 + 14. 20 Evaluate (-13 - (5 - 2)) + 23. 7 What is the value of (-15 - (-23 + -3)) + -17? -6 Evaluate (-7 - 15) + (-6 - (12 + (-22 - -11))). -29 Evaluate (23 - 33) + (6 + -9 - 2). -15 What is the value of (7 + 7 - 11) + 4? 7 Calculate -482 + 494 + (2 - 3). 11 Calculate (-43 - -38) + 12 + 8. 15 Calculate -15 + 18 + -16 + 8 + -10. -15 What is 5 + -2 + (-4 - -6) + -16 + -2? -13 Calculate (-1 - (2 - (-9 + 7))) + -2. -7 Evaluate 14 - (-1 - (-8 + 9)). 16 Calculate 16 - 9 - 30 - (-12 + 8). -19 (0 - 1 - -6) + -24 + 21 + 12 14 -20 - (-28 - -3) - (1 - 4) 8 What is 4 + -6 + 3 + -9? -8 Calculate (4 - 17) + 5 + 0. -8 -16 - (5 + 7 + -7 + 6) -27 Evaluate -19 - (-15 + -12 - -9). -1 Calculate -3 - (-3 + 6) - (39 + -46). 1 What is the value of (0 - -6 - (-60 + 71)) + 2? -3 4 + (-2 - -1 - 1) - (217 - 213) -2 What is 5 - 2 - (2 + -1 - (6 - -1))? 9 (-8 + 12 - (-1 + 10)) + 10 + -26 -21 Calculate -1 + 5 - (-503 + 510) - (0 + -9). 6 What is the value of 2 + (6 - 10) + -18 - -8? -12 (-53 - -47) + (8 - 23) -21 What is the value of 16 + -15 + 6 + (-3 - -3 - 4)? 3 12 - ((-19 - -19 - -17) + -12) 7 What is the value of 27 - (39 + -4 + 9)? -17 Calculate 36 + -7 + (20 - 15). 34 What is the value of 9 + -2 + 1 - (-4 + 7 + 0)? 5 What is 6 + 0 + (20 - (29 + -7))? 4 Calculate (9 - (-2 + 3 + 17)) + -8. -17 Evaluate -28 + -25 + 63 + -18. -8 Calculate -5 + 11 - 15 - (3 + 0 - 3). -9 What is 3 + -1 + 2 + (-10 - -15) + -11? -2 What is (4 - -1) + (-20 - -8) + 1? -6 -22 - (-34 + 11 - 17) 18 What is (42 + -19 - 11) + -27? -15 What is the value of -1 + -1 - (3 + 4)? -9 Evaluate (5 - (-4 - -11)) + -7 - (1 - -5). -15 What is -62 + 35 - (-14 - 2)? -11 Calculate (-2 - -6) + (-28 + -13 - -27). -10 Calculate -20 - (7 + -9 + -22). 4 Calculate (-4 - (4 - 1 - (21 + -2))) + -4. 8 What is -2 + (-11 - -1) + 6 - (-1 - -5)? -10 Evaluate -4 + -5 + (-50 - -60). 1 22 + -19 + 4 + -15 -8 Evaluate 2 + -3 + -8 - (-13 + -2). 6 What is 25 + (-1 - 2) + (-18 - (-12 + -3))? 19 Calculate -23 + 40 - 21 - (-20 - -1). 15 Evaluate 2 - ((-12 - 9) + 13). 10 Evaluate 1 + -7 - (-31 + 25). 0 What is -7 - (-10 - -6) - -6 - (-10 + 9)? 4 Calculate -25 + 3 + -19 - -27. -14 Calculate 27 + -30 + 17 + -39. -25 What is the value of 3 + 9 + 8 + (-5 - (5 + -6))? 16 What is 8 - -1 - (9 + (-8 - (0 - 3)))? 5 (-44 - -13 - -23) + 30 22 -36 + (14 - -29) + -36 -29 What is the value of 33 + -21 + (-8 - -5) + (-1 - -2)? 10 What is the value of -3 - 20 - ((51 - 34) + -7)? -33 What is the value of (61 - 25) + -23 - 11? 2 Evaluate (-22 - -7) + 34 - 4 - 26. -11 18 + -2 + 0 + -322 + 321 + 7 22 What is the value of 152 + -150 + (0 - 8) - (-2 + -18)? 14 1 - (4 - 4) - (0 - 8 - 0) 9 (34 - 26) + -11 + 3 + -27 - 2 -29 What is the value of (-3 - 17) + 13 - -25? 18 Calculate -6 + (-28 + 28 - 13). -19 -6 - (7 - (-6 + (2 - -1) + 26)) 10 What is the value of -2 - 2 - (3 + -12 + 7 - -5)? -7 Cal
{ "pile_set_name": "DM Mathematics" }
53, 118993? -w**3 + 3312*w**2 - w - 17 What is the u'th term of -5673, -5653, -5633, -5613? 20*u - 5693 What is the l'th term of -877, -3537, -7985, -14227, -22269? -l**3 - 888*l**2 + 11*l + 1 What is the r'th term of -1372, -1056, -740, -424, -108? 316*r - 1688 What is the o'th term of -20, 16, 158, 460, 976, 1760, 2866, 4348? 9*o**3 - o**2 - 24*o - 4 What is the g'th term of -13968455, -13968456, -13968457, -13968458? -g - 13968454 What is the i'th term of 655, 5566, 18891, 44836, 87607, 151410, 240451, 358936? 701*i**3 + i**2 + i - 48 What is the j'th term of -1367, -1369, -1371? -2*j - 1365 What is the q'th term of 282665, 565329, 847993, 1130657? 282664*q + 1 What is the c'th term of 4261, 4196, 4135, 4078, 4025? 2*c**2 - 71*c + 4330 What is the v'th term of -542, -632, -722, -812, -902? -90*v - 452 What is the h'th term of 4353, 4355, 4359, 4365? h**2 - h + 4353 What is the a'th term of -61625, -61622, -61619, -61616, -61613? 3*a - 61628 What is the o'th term of -95, -120, -159, -212, -279? -7*o**2 - 4*o - 84 What is the m'th term of 3689, 3612, 3483, 3302, 3069? -26*m**2 + m + 3714 What is the r'th term of 12227, 48918, 110071, 195686, 305763, 440302? 12231*r**2 - 2*r - 2 What is the a'th term of -180, -254, -330, -408, -488? -a**2 - 71*a - 108 What is the i'th term of 87, 766, 2607, 6192, 12103, 20922, 33231? 97*i**3 - i**2 + 3*i - 12 What is the s'th term of 23, 154, 555, 1382, 2791, 4938, 7979, 12070? 26*s**3 - 21*s**2 + 12*s + 6 What is the k'th term of -102, -214, -366, -576, -862, -1242, -1734, -2356? -3*k**3 - 2*k**2 - 85*k - 12 What is the a'th term of 22491, 90187, 203025, 361011, 564151, 812451? a**3 + 22565*a**2 - 6*a - 69 What is the x'th term of -182, -86, 74, 304, 610, 998, 1474, 2044? x**3 + 26*x**2 + 11*x - 220 What is the f'th term of 335, 261, 137, -37, -261? -25*f**2 + f + 359 What is the r'th term of 5910, 11816, 17722, 23628? 5906*r + 4 What is the y'th term of 42050, 42053, 42056? 3*y + 42047 What is the h'th term of -3774, -3852, -3980, -4158? -25*h**2 - 3*h - 3746 What is the k'th term of 788, 3158, 7106, 12632, 19736, 28418? 789*k**2 + 3*k - 4 What is the q'th term of -2633, -2629, -2627, -2627, -2629? -q**2 + 7*q - 2639 What is the l'th term of -76, -332, -694, -1114, -1544, -1936, -2242, -2414? 8*l**3 - 101*l**2 - 9*l + 26 What is the o'th term of 18948, 151541, 511436, 1212285, 2367740, 4091453, 6497076? 18942*o**3 - o**2 + 2*o + 5 What is the i'th term of 265, 1076, 2423, 4306, 6725, 9680? 268*i**2 + 7*i - 10 What is the p'th term of 1301, 2083, 3395, 5243, 7633, 10571, 14063? p**3 + 259*p**2 - 2*p + 1043 What is the i'th term of 3381, 6767, 10153, 13539, 16925? 3386*i - 5 What is the l'th term of 67342, 67384, 67426, 67468, 67510? 42*l + 67300 What is the s'th term of 37179, 74359, 111539, 148719, 185899? 37180*s - 1 What is the c'th term of 192081, 192085, 192089, 192093, 192097, 192101? 4*c + 192077 What is the a'th term of -6186, -6220, -6254? -34*a - 6152 What is the q'th term of -38, -248, -840, -2012, -3962? -33*q**3 + 7*q**2 - 12 What is the o'th term of -2363, -2338, -2313, -2288? 25*o - 2388 What is the v'th term of -213788, -213786, -213786, -213788? -v**2 + 5*v - 213792 What is the c'th term of -342, -750, -1168, -1602, -2058, -2542, -3060, -3618? -c**3 + c**2 - 404*c + 62 What is the d'th term of 749, 788, 853, 944, 1061, 1204, 1373? 13*d**2 + 736 What is the n'th term of -185, -341, -557, -863, -1289, -1865, -2621? -5*n**3 - 121*n - 59 What is the j'th term of -133462, -266937, -400414, -533893, -667374, -800857, -934342? -j**2 - 133472*j + 11 What is the m'th term of -2726, -10942, -24634, -43802, -68446? -2738*m**2 - 2*m + 14 What is the u'th term of 1343, 2607, 3871? 1264*u + 79 What is the o'th term of 1831, 7260, 16297, 28948, 45219, 65116? o**3 + 1798*o**2 + 28*o + 4 What is the w'th term of -1127, -1248, -1449, -1730, -2091, -2532? -40*w**2 - w - 1086 What is the h'th term of -207322, -207321, -207320, -207319? h - 207323 What is the k'th term of 31, 99, 195, 319? 14*k**2 + 26*k - 9 What is the o'th term of -1366, -1216, -812, -28, 1262, 3184? 21*o**3 + o**2 - 1388 What is the c'th term of 104107, 104112, 104115, 104116, 104115, 104112? -c**2 + 8*c + 104100 What is the v'th term of 1846544, 1846543, 1846542? -v + 1846545 What is the o'th term of -7074, -28305, -63688, -113223, -176910, -254749, -346740? -7076*o**2 - 3*o + 5 What is the g'th term of -353, -712, -1063, -1400, -1717? g**3 - 2*g**2 - 360*g + 8 What is the l'th term of 5570, 11214, 16932, 22730, 28614, 34590, 40664, 46842? l**3 + 31*l**2 + 5544*l - 6 What is the b'th term of -4212, -8353, -12494, -16635? -4141*b - 71 What is the b'th term of 4626, 4704, 4806, 4944, 5130? 2*b**3 + 64*b + 4560 What is the y'th term of 65031, 130055, 195079, 260103, 325127, 390151? 65024*y + 7 What is the x'th term of -166786, -166787, -166788? -x - 166785 What is the o'th term of 10237, 41081, 92489, 164461, 256997, 370097, 503761? 10282*o**2 - 2*o - 43 What is the w'th term of 1490, 2738, 3986, 5234? 1248*w + 242 What is the m'th term of -2554, -2625, -2744, -2935, -3222? -4*m**3 - 43*m - 2507 What is the l'th term of -310, -300, -314, -358, -438? -l**3 - 6*l**2 + 35*l - 338 What is the q'th term of -1075, -1057, -1039, -1021, -1003? 18*q - 1093 What is the h'th term of 961, 1087, 1295, 1585? 41*h**2 + 3*h + 917 What is the o'th term of -80, -1010, -2554, -4712? -307*o**2 - 9*o + 236 What is the o'th term of 76060, 152120, 228176, 304228, 380276? -2*o**2 + 76066*o - 4 What is the o'th term of 8522, 8504, 8486, 8468? -18*o + 8540 What is the w'th term of -251248, -251231, -251200, -251149, -251072, -250963, -250816? w**3 + w**2 + 7*w - 251257 What is the b'th term of 3933, 7856, 11779, 15702, 19625, 23548? 3923*b + 10 What is the i'th term of -330, -1536, -3612, -6558, -10374, -15060? -435*i**2 + 99*i + 6 What is the z'th term of -913, -1887, -2875, -3877? -7*z**2 - 953*z + 47 What is the s'th term of -13962, -55981, -126004, -224025, -350038, -504037? s**3 - 14008*s**2 - 2*s + 47 What is the p'th term of 6471, 6542, 6719, 7056, 7607, 8426, 9567? 9*p**3 - p**2 + 11*p + 6452 What is the n'th term of -389, -377, -343, -275, -161? 2*n**3 - n**2 + n - 391 What is the g'th term of 4273, 17106, 38503, 68464? 4282*g**2 - 13*g + 4 What is the q'th term of 45647, 91301, 136955? 45654*q - 7 What is the y'th term of -215, 972, 2159, 3346, 4533, 5720? 1187*y - 1402 What is the d'th term of 2626, 10514, 23664, 42076, 65750, 94686? 2631*d**2 - 5*d What is the n'th term of -8682, -17345, -26008, -34671, -43334, -51997? -8663*n - 19 What is the r'th term of -60, 553, 1168, 1785, 2404, 3025? r**2 + 610*r - 671 What is the g'th term of 780, 1791, 3468, 5805, 8796, 12435? -g**3 + 339*g**2 + g + 441 What is the b'th term of 996, 2494, 4482, 6960, 9928, 13386, 17334? 245*b**2 + 763*b - 12 What is the d'th term of -305609, -305608, -305605, -305600? d**2 - 2*d - 305608 What is the c'th term of 544, 967, 1272, 1459, 1528, 1479, 1312? -59*c**2 + 600*c + 3 What is the w'th term of 48, -325, -946, -1815, -2932? -124*w**2 - w + 173 What is the p'th term of 2747, 2793, 2839, 2885, 2931? 46*p + 2701 What is the h'th term of 2217, 4404, 6541, 8610, 10593, 12472? -3*h**3 - 7*h**2 + 2229*h - 2 What is the w'th term of 140, 150, 168, 194, 228? 4*w**2 - 2*w + 138 What is the w'th term of -31665, -63391, -95117, -126843, -158569? -31726*w + 61 What is the b'th term of 1816216, 1816215, 1816214, 1816213, 1816212? -b + 1816217 What is the f'th term of -7465, -7519, -7573, -7627? -54*f - 7411 What is the v'th term of 2459, 2463, 2461, 2447, 2415, 2359, 2273, 2151? -v**3 + 3*v**2 + 2*v + 2455 What is the z'th term of -76, -136, -302, -628, -1168, -1976, -3106? -9*z**3 + z**2 - 68 What is the p'th term of -36653, -73287, -109921, -146555, -183189? -36634*p - 19 What is the q'th term of 834, 6597, 22228, 52659, 102822? 822*q**3 + 2*q**2 + 3*q + 7 What is the b'th term of -352, -337, -334, -349, -388, -457, -562, -709? -b**3 + 22*b - 373 What is the j'th term of 1524, 3042, 4560, 6078? 1518*j + 6 What is the y'th term of 9901, 9906, 9915, 9928, 9945, 9966, 9991? 2*y**2 - y + 9900 What is the q'th term of -683, -764, -861, -980, -1127, -1308, -1529? -q**3 - 2*q**2 - 68*q - 612 What
{ "pile_set_name": "DM Mathematics" }
2*k**2 - 1 wrt r? -8778*d*k**2 - 12*d*r - 594*d Find the second derivative of -3*m**4 - 15338*m**3 - 4*m**2 + 51547757*m wrt m. -36*m**2 - 92028*m - 8 Find the second derivative of -a**4 - 44447*a**3 + 339*a**2 - 136534852*a wrt a. -12*a**2 - 266682*a + 678 What is the third derivative of -382258543*g**5 + g**2 - 10353*g - 373? -22935512580*g**2 Find the third derivative of 42452515*x**4 - 21993191*x**2 wrt x. 1018860360*x What is the derivative of 9449*l**2 - 2263*l - 67578827 wrt l? 18898*l - 2263 What is the second derivative of 273*j**2*t**3 - 38*j**2*t**2 + j**2*t - 9*j**2 - 14*j*t**2 + 540*j*t + 2*t**3 - 2*t wrt j? 546*t**3 - 76*t**2 + 2*t - 18 What is the first derivative of 242*d**2 + 138*d*u**3 - 23*d*u + 69971272*u**3 wrt d? 484*d + 138*u**3 - 23*u What is the third derivative of -223510372*r**4 + 21*r**2 + 2*r + 89755 wrt r? -5364248928*r Find the second derivative of -104230863*m**3 - 802765*m - 49. -625385178*m What is the first derivative of 4470760*z**3 + 6408453? 13412280*z**2 What is the third derivative of 106294521*o**3 + 67*o**2 - 15739*o - 3 wrt o? 637767126 What is the third derivative of 44890133*a**3 - 56*a**2 + 88996*a? 269340798 What is the third derivative of r**4*s + 319219*r**3*s + r**2*s - 45*r**2 + 11831*r - 4*s wrt r? 24*r*s + 1915314*s Find the third derivative of 347701*s**3 + 5336491*s**2 wrt s. 2086206 Find the second derivative of 66*d**2*p**2 - 1694*d**2*p + 192*d*p - d - 5274*p**5 wrt p. 132*d**2 - 105480*p**3 What is the second derivative of 31281*c**2*r**3 - 43*c**2*r**2 + 5*c**2 + 3502*c*r**3 - 2*c*r + 3*c + 55*r**3 - 20*r**2 wrt c? 62562*r**3 - 86*r**2 + 10 What is the third derivative of 215*d**5 + 134629*d**3 + 211164818*d**2? 12900*d**2 + 807774 Find the first derivative of -13687281*s - 10505352. -13687281 Find the third derivative of 4020*v**4 - 16025*v**3 - 21*v**2 - 4528*v + 89 wrt v. 96480*v - 96150 What is the derivative of -558770266*o + 317566303? -558770266 What is the second derivative of -2*l**3 + 20055532*l**2 + 8*l - 1845467 wrt l? -12*l + 40111064 What is the first derivative of -22364799*m**2 - 187508249 wrt m? -44729598*m What is the third derivative of 43588297*a**3 + 3*a**2 + 808433*a + 12? 261529782 Find the first derivative of 7303406*m**2*q - 2*m**2 + 52541*q wrt m. 14606812*m*q - 4*m What is the first derivative of -5723285*k**4*t**3 + 5*t**3 - 684332*t**2 wrt k? -22893140*k**3*t**3 Find the second derivative of -2*h**4 + 6*h**3 - 2308554*h**2 - 34333417*h. -24*h**2 + 36*h - 4617108 What is the derivative of -72*p**2*x*y + 455*p**2 - 28*p*x + 28*x + 4276*y**2 wrt y? -72*p**2*x + 8552*y What is the second derivative of -4776604*g*w**4 + 6568*g*w - 3*w**4 + 2*w**2 + 335*w wrt w? -57319248*g*w**2 - 36*w**2 + 4 Find the first derivative of -167*s*w**2 - 130*s*w - 10664235*s - 19*w**2 wrt w. -334*s*w - 130*s - 38*w What is the second derivative of i**2*q**2*w + 4*i**2*q*w - 3*i**2*w + i**2 - 373*i*q**2*w + 3*i - q**2*w - 84*q**2 + 14*q*w - 1202*q wrt q? 2*i**2*w - 746*i*w - 2*w - 168 What is the derivative of 517*j*v*y + 14979*j*v - 23613*j*y - 128*v wrt y? 517*j*v - 23613*j Differentiate 26863199*a*q**2 - 224*q**2 - 140864*q wrt a. 26863199*q**2 Find the first derivative of 12224247*u**3 - 9315509. 36672741*u**2 Differentiate 72440*i**2*p - 461*i*p - 473059376*p with respect to i. 144880*i*p - 461*p Find the first derivative of 9439055*c - 6391840. 9439055 Find the second derivative of -122008876*p**4 - 7282*p - 86. -1464106512*p**2 Find the third derivative of -7*b*g**3*o**4 + 35*b*g**3*o**2 + 53684*b*g**3 - 42310*b*o**4 - 2*o**2 wrt o. -168*b*g**3*o - 1015440*b*o What is the derivative of 4*c*d - 8468545*c - 220101794*d wrt c? 4*d - 8468545 Find the first derivative of -67*k**4 - 7575*k**3 - 7*k**2 - 2101204 wrt k. -268*k**3 - 22725*k**2 - 14*k Find the second derivative of 96564350*q**2 + 52*q + 640768. 193128700 Find the second derivative of k**5*q - 8*k**2*q**2 + 588855*k**2 - 2*k*q - 123*k - q**2 + 2865*q - 2 wrt k. 20*k**3*q - 16*q**2 + 1177710 Find the third derivative of -2*p**5 + 16774935*p**4 + 11*p**2 + 862186*p - 2. -120*p**2 + 402598440*p Find the second derivative of -3*f**2*q*s**2 + 2*f**2*q*s - f**2*q + f**2*s - 41*f**2 + 21316096*f*q*s**2 - 2*f*q + 10*f*s + 17 wrt s. -6*f**2*q + 42632192*f*q What is the second derivative of -4*m**3 - 6892449*m**2 - 93073533*m? -24*m - 13784898 Differentiate 3*g*r**3 + 5*g*r**2 - 2470*g*r - 277*g + r**3 - 3287034*r**2 - 9*r with respect to g. 3*r**3 + 5*r**2 - 2470*r - 277 Find the first derivative of 9*a**4 + a**2 + 715770*a - 703095783 wrt a. 36*a**3 + 2*a + 715770 What is the second derivative of -821*m**3 - 9224*m**2 - 29636309*m? -4926*m - 18448 What is the derivative of -212*h*s + 36096922*h - 99*s**3 - 71*s**2 wrt s? -212*h - 297*s**2 - 142*s Find the second derivative of -26*m**3*p + m**3 - 18937*m**2*p - 3*m**2 + 185245*m*p + 14*m wrt m. -156*m*p + 6*m - 37874*p - 6 What is the third derivative of 101*w**6*y - 10607*w**6 + 2*w**2*y + 32674*w*y - 8*y wrt w? 12120*w**3*y - 1272840*w**3 Differentiate -15629*m**4 + 1007*m**3*t - 32231689*t wrt m. -62516*m**3 + 3021*m**2*t Find the third derivative of 5076022*i**4 + 10*i**2 - 248691*i wrt i. 121824528*i Find the first derivative of -5876683*u**2 - 12280650. -11753366*u What is the first derivative of 5*a*d**3 - 25308*a*d*z**2 + 24*a*z + 1258*d**3*z**2 - 4*d**3 - 8*d**2*z + 2*z**2 wrt a? 5*d**3 - 25308*d*z**2 + 24*z Differentiate 335811*h*n**2*p + 14*h*p - 8*n**2*p - n**2 - 47241*p - 1 wrt h. 335811*n**2*p + 14*p What is the third derivative of 13*m**3*z**2 - 120067*m**3 + 225*m**2*z**2 - 1807*m**2*z wrt m? 78*z**2 - 720402 Find the second derivative of 2*j**3*x**2 + j**3 + 153*j**2*o*x + j*o*x**2 + 107*j*o + 162491*j*x**3 wrt x. 4*j**3 + 2*j*o + 974946*j*x Find the second derivative of -17*f**3 + 3662*f**2*s*v**2 - 14*f**2*s + 2*f*s*v**2 + 68803*s*v**2 - 10*s wrt f. -102*f + 7324*s*v**2 - 28*s What is the third derivative of 2*b**5 - 576586233*b**4 + 313152132*b**2? 120*b**2 - 13838069592*b What is the third derivative of -3*u**4 - 1306897*u**3 + 2*u**2 + 7*u + 19866? -72*u - 7841382 What is the third derivative of -6916080*y**5 + 2*y**3 + 134808*y**2 + 29 wrt y? -414964800*y**2 + 12 Differentiate -1428*i*p*s - 6*i*p - 63*i*s - i - 849*p*s + 3124*s + 9 with respect to p. -1428*i*s - 6*i - 849*s Find the second derivative of -40324110*v**3 + 89104*v + 70 wrt v. -241944660*v What is the third derivative of 672406*d**3*w**3 - d**3*w**2 + 25*d**3*w - d**2*w**3 - 59*d**2*w**2 + d*w**3 + 111*d*w**2 - 74*d wrt d? 4034436*w**3 - 6*w**2 + 150*w What is the derivative of -702138187*y + 615249983? -702138187 What is the second derivative of -86310321*g**2*r + 32160*g*r - 68*g wrt g? -172620642*r What is the second derivative of 93*h**5 + 12529*h**4 - 2*h**3 + 7981*h + 77? 1860*h**3 + 150348*h**2 - 12*h What is the third derivative of -5934264*v**3 + 104993514*v**2 wrt v? -35605584 Find the third derivative of 2*m**2*s**3 - m**2*s**2 + 7772357*m**2*s - 22*m*s**4 - 33980*s**4 wrt s. 12*m**2 - 528*m*s - 815520*s What is the second derivative of 47209699*m**3 + 42*m - 548558 wrt m? 283258194*m What is the second derivative of -30848301*o**3 + 33042474*o? -185089806*o Find the third derivative of 33459628*z**5 - 1043*z**2 + 389. 2007577680*z**2 What is the derivative of 2*t*v**2 - 3*t*v - 197546731*t + 3*v**2 + 276701*v wrt v? 4*t*v - 3*t + 6*v + 276701 What is the second derivative of 2*h*k**2*p**3 + 23902595*h*k**2*p**2 + 256492*h*k*p**3 + h*p**2 + k*p + 14*k wrt k? 4*h*p**3 + 47805190*h*p**2 Differentiate -132830745*h + 71549729 with respect to h. -132830745 What is the second derivative of 4*q**4 - 1071704*q**3 - q - 6457333 wrt q? 48*q**2 - 6430224*q Differentiate -2*n**2*t*w + 18*n**2*t - 2*n*t + 9*t + 4785008*w - 843 with respect to w. -2*n**2*t + 4785008 Find the third derivative of -2*b*f**2*m**3 - 24*b*f**2*m**2*v + 3*b*f**2*v + 122*b*f*m**3*v - 2*b*f*m**2 - b*m*v + 3*f - 15032*m**3 - 94*m**2*v + 4*m*v wrt m. -12*b*f**2 + 732*b*f*v - 90192 What is the second derivative of 2*s**4 - 133750*s**3 + 2*s**2 - 4478154*s + 2? 24*s**2 - 802500*s + 4 Find the second derivative of -1809822*u**2*y**3 - 5*u**2*y + 2*u**2 + u*y - 22072*u - 2*y**3 - 2*y**2 - 3 wrt y. -10858932*u**2*y - 12*y
{ "pile_set_name": "DM Mathematics" }
s -12*c(h) + w(h)? -2*h**2 + 4*h - 2 Let o(l) = l**3 + l**2 - 1. Let c(j) = 3*j**3 + 16*j**2 - 3*j - 1. Let g(x) = -4*x**3 - 36*x**2 + 7*x + 1. Let b(y) = 14*c(y) + 6*g(y). Give 3*b(k) - 24*o(k). 30*k**3 Let l(o) = 4*o + 2. Let t(k) = 28*k + 28. What is 4*l(x) - t(x)? -12*x - 20 Let u be (-12)/(-30)*(5 - 8 - 2). Let l(s) = 1196*s**2 - 115*s - 115. Let p(k) = -21*k**2 + 2*k + 2. Calculate u*l(x) - 115*p(x). 23*x**2 Let g(o) = -o**3 + o**2 + 8. Let x(v) = -9*v**3 - 241*v**2 + 64. Determine 8*g(l) - x(l). l**3 + 249*l**2 Let l(a) = 2*a + 26. Let d(m) = -30*m + 130. Let u(q) = 14*q - 58. Let g(c) = 6*d(c) + 13*u(c). Determine 2*g(w) - 3*l(w). -2*w - 26 Let b(d) = -11*d - 3. Let a(p) = -795 + 794 + 0*p - 6*p. What is 7*a(o) - 4*b(o)? 2*o + 5 Let k(j) = -15. Let n(u) = 2*u - 21. Let a(o) = -3*k(o) + 2*n(o). Suppose 5*b + 0 = 10. Suppose 8 = -b*y - 12. Let s(h) = 9*h + 7. Calculate y*a(g) + 4*s(g). -4*g - 2 Let x(o) = 143052445*o**2 - 224356*o + 448712. Let q(s) = 5101*s**2 - 8*s + 16. Determine 56089*q(v) - 2*x(v). 5099*v**2 Suppose -101*k = -106*k + 75. Let s(t) = -5*t + 5*t**2 - t - 5*t - 7 + 3*t + k*t. Let v(m) = 5*m**2 + 6*m - 6. Determine 6*s(c) - 7*v(c). -5*c**2 Let b = -11986 - -11979. Let r(c) = -7*c**3 - 9*c**2 - 7*c + 7. Let v(o) = -3*o**3 - 5*o**2 - 4*o + 4. Determine b*v(n) + 4*r(n). -7*n**3 - n**2 Let r(n) = 18*n**2 + 10*n + 336. Let f(p) = 13*p**2 + 8*p + 335. Determine -4*f(x) + 3*r(x). 2*x**2 - 2*x - 332 Let a(p) = 2000*p**3 + 12*p**2 + 8*p + 2. Let x(g) = -6000*g**3 - 33*g**2 - 22*g - 5. Calculate 11*a(r) + 4*x(r). -2000*r**3 + 2 Let v(i) = -3*i**2 - 8*i - 6. Suppose -345 + 10539 = 1699*x. Suppose -2*b + 3 = -5*b. Let u(l) = -l - 1. What is b*v(d) + x*u(d)? 3*d**2 + 2*d Let n(j) = -6*j**2 + j + 5. Let p(d) = 11*d**2 + 2*d - 32. Determine -2*n(v) + p(v). 23*v**2 - 42 Let q(p) = 19*p**2 + 8*p - 4. Let v(x) = 18*x**2 + 11*x - 5. Give -4*q(i) + 3*v(i). -22*i**2 + i + 1 Let g(t) = -71*t**2 - 45*t + 4. Let f(a) = 36*a**2 + 27*a - 3. Let j(r) = -5*f(r) - 3*g(r). Let w(m) = 395*m**2 + 35. What is 35*j(y) - 3*w(y)? -30*y**2 Let m be 3*(-11)/(-66)*2. Let x(l) = -l**3 + l**2 + l. Let h(b) = b**3 - 5*b**2 - 6*b. Give m*h(p) + 6*x(p). -5*p**3 + p**2 Let z(y) = -29*y**3 - 55*y**2 + 33949*y - 11. Let t(w) = -16*w**3 - 30*w**2 + 16976*w - 6. What is -11*t(p) + 6*z(p)? 2*p**3 + 16958*p Let z(j) be the first derivative of -3*j**2/2 - 4*j + 6. Let r = 35 - 32. Let a be (-20)/(-12)*r - 0. Let l(c) = 4*c + 5. Determine a*l(m) + 6*z(m). 2*m + 1 Let q(v) = 17*v + 291. Let c(o) = -o - 23. Determine -6*c(x) - q(x). -11*x - 153 Let g(k) = 8*k**2 + 11*k - 263. Let m(h) = 3*h**2 + 3*h - 88. Give 2*g(v) - 7*m(v). -5*v**2 + v + 90 Let u(k) = -7*k - 16. Let v(r) = -110*r - 250. Let x(l) = 95*u(l) - 6*v(l). Let a(d) = -d - 1. Determine 4*a(f) - x(f). f + 16 Let t(a) = -2*a**2 - 6*a + 2. Let d(l) = -2*l**2 - 7*l + 2. Suppose -7 = 885*n - 884*n + p, -34 = n + 4*p. What is n*t(g) - 3*d(g)? 2*g**2 + 9*g - 2 Let c(h) = -8*h**2 - 2*h + 1. Let z(a) be the first derivative of -7*a**3/3 - a**2 + 2*a + 6531. Give 6*c(i) - 7*z(i). i**2 + 2*i - 8 Let n(q) = -q**2 + 7*q - 9. Let y = 5158 + -5163. Let w(f) = -f**2 + 10*f - 13. Give y*w(o) + 7*n(o). -2*o**2 - o + 2 Let v = -3 - -4. Let r(g) = 2*g**3 + 2*g**2 - 4*g + 2. Let u(y) = -1041526 + 3*y**3 - y + y**2 + 1041527 - 4*y**3. Calculate v*r(w) - 2*u(w). 4*w**3 - 2*w Let j(r) = 128*r**3 - 31*r + 13. Let n(a) = 64*a**3 - 14*a + 6. Calculate -4*j(l) + 9*n(l). 64*l**3 - 2*l + 2 Let q(x) be the third derivative of -2/3*x**3 + 3*x**2 + 4 - 1/6*x**4 + 0*x. Let p = 20 + -11. Let v(k) = k**3 + 9*k + 9. Give p*q(w) + 4*v(w). 4*w**3 Let j(a) = -6*a. Let w(t) = -7*t. Suppose -9 = -16*n + 13*n. Suppose 5*i - 22 = -l, n*i - i - 16 = 2*l. Give i*w(h) - 6*j(h). h Suppose -17*h + 19*h = 2*z - 2, 3*h + 23 = -2*z. Let c(g) = 24*g**3 - 6*g**2 - 6*g - 6. Let i(j) = -25*j**3 + 5*j**2 + 5*j + 5. Determine h*c(s) - 6*i(s). 30*s**3 Let r(s) be the third derivative of s**6/120 + s**5/60 + s**4/24 + s**3/6 + 6*s**2 - 54. Let b(i) = 3*i**3 + 5*i**2 + 7*i + 6. What is b(j) - 5*r(j)? -2*j**3 + 2*j + 1 Let s(j) = 7*j**3 + 4*j**2 + 2442*j. Let u(o) = 5*o**3 + 3*o**2 + 2446*o. Give -2*s(y) + 3*u(y). y**3 + y**2 + 2454*y Let c(y) = -87*y**2 - 15*y + 4. Let a(g) = 95*g**2 + 16*g - 2. Calculate -3*a(d) - 2*c(d). -111*d**2 - 18*d - 2 Let h(q) = -1139429246*q + 5145536. Let g(w) = -14615*w + 66. Determine 233888*g(v) - 3*h(v). 14618*v Let d(q) = 732110*q**3 - 1253*q**2. Let o(s) = -2339*s**3 + 4*s**2. Determine 4*d(j) + 1253*o(j). -2327*j**3 Let c(b) = b + 1. Let l(k) = 123*k**2 - 33 - 124*k**2 - 8*k + 0 + 2*k. What is -6*c(p) - l(p)? p**2 + 27 Let s(q) = 2*q**3 - 3*q**2 + 3. Let g = 4377 + -4381. Let v(x) = 2*x**3 - 4*x**2 + 3. Give g*s(d) + 3*v(d). -2*d**3 - 3 Suppose 88*u - 20 = 90*u + 2*k, -4*k = u + 22. Let q(s) = 43*s + 5. Let p(g) = 43*g + 6. Determine u*q(l) + 5*p(l). -43*l Let i(p) = 26*p + 4757. Let k(u) = -5*u - 12. What is i(w) + 5*k(w)? w + 4697 Let q(j) = -9*j**2 + 6. Let s(r) = -26*r**2 + 17. Let d(t) = t**2 - 135*t + 768. Let k be d(6). Give k*s(u) + 17*q(u). 3*u**2 Let c(t) = 22*t - 2. Let l(w) = -45*w + 4. Suppose 21210 = 3*m + 21219. Give m*l(s) - 7*c(s). -19*s + 2 Let r(h) be the third derivative of -h**4/24 + h**3/6 - 3751*h**2. Let m(q) = q + 7. Determine -m(j) + 5*r(j). -6*j - 2 Let q(s) = 17*s**2 + 161. Let j(k) = -7*k**2 - 54. Calculate -17*j(l) - 6*q(l). 17*l**2 - 48 Suppose d + 486 = 28*d. Let h(m) = 1 - 40*m + 23*m + d*m. Let y(r) = -r + 1. Determine h(t) - 2*y(t). 3*t - 1 Let g(j) = -j**3 + j**2 + j + 1. Suppose 39*f = 3*f - 0*f - 72. Let v(q) = 10*q**3 + 10*q**2 + 10*q + 10. Calculate f*v(s) + 20*g(s). -40*s**3 Let m(k) = 117*k + 86. Let s(i) = -21. Give -m(g) - 5*s(g). -117*g + 19 Let p(g) = 9*g**3 + 3*g - 5. Suppose 0*h + 6 = 2*h. Let o(f) = 4*f**3 + f - 2. Suppose 173*c + 55 = -5*a + 175*c, c - 24 = 2*a. What is a*o(d) + h*p(d)? -d**3 + 2*d - 1 Let h(m) = 87*m + 421. Let y(x) = -41*x - 215. Determine 4*h(i) + 9*y(i). -21*i - 251 Suppose 404 = -10*m - 311 - 1035. Let n(c) = -900*c**3 + 175*c**2 - 175. Let i(t) = 31*t**3 - 6*t**2 + 6. Calculate m*i(v) - 6*n(v). -25*v**3 Let r(i) = -i**2 - 7*i - 8. Let h(l) = -2*l - 3. Give 14*h(m) - 4*r(m). 4*m**2 - 10 Let q(v) = -2923*v**2 - 259*v + 259. Let r(z) = -z**2 + 83*z - 1413. Let b be r(24). Let j(l) = -34*l**2 - 3*l + 3. Give b*q(t) - 259*j(t). 37*t**2 Let a(s) = 11*s. Let f(n) = -4*n. Suppose -d + 30 = 2*d. Let x(v) = 18*v - 6*v - 4*v**3 - 3 - 11*v**2 + 5*v**3. Let m be x(d). Calculate m*f(r) + 6*a(r). -2*r Let h(q) = -q**2 + 6*q + 71. Let b be h(-6). Let k(f) = 2*f + 6 + 6*f**3 - 3 - 1 - 2*f**2 - f**3. Let j(n) = n**2 - n - 1. Give b*k(g) - 2*j(g). -5*g**3 Let a(o) = -8*o**3 + 6*o**2 - o + 6. Let g(j) = j**3 - j**2 - 1. Let w = 13 - 41. Let s be (-16)/(-6)*63/w. Give s*g(m) - a(m). 2*m**3 + m Let y(i) = 15*i**3 + 9*i**2 - 784*i - 18. Let g(h) = 7*h**3 + 4*h**2 - 392*h - 8. What is 9*g(d) - 4*y(d)? 3*d**3 - 392*d Let x be (-13)/3 - 1/(-3). Let t(g) be the second derivative of -2/3*g**3 - 7/12*g**4 - 50*g + 0*g**2 + 0. Let y(u) = 6*u**2 + 3*u. Determine x*y(m) - 3*t(m). -3*m**2 Let h(d) = -d - 1. Suppose f - 2*j = -15, -4*f + j = -5*f. Let g(b) = -65*b - 70. Let c(l) = 32*l + 33. Let p(v) = f*c(v) - 2*g(v). Calculate -25*h(w) + p(w). -5*w Let a(c) = -8*c**2 + 1. Let x(u) = 52806*u**2 - 6770. What is 20310*a(m) + 3*x(m)? -4062*m**2 Let p(k) = 3*k + 8. Let u(c) = 212*c - 116. Calculate 28*p(r) + 2*u(r). 508*r - 8 Let r(k) = 20*k**2 + 4*k - 1. Let b(m) = 35*m**2 + 717*m + 3. Let q(o) = 106*o**2 + 2033*o + 8. Let v(h) = -17*b(h) + 6*q(h). What is -5*r(x) + 2*v(x)? -18*x**2 - 2*x - 1 Let z(f) = -83*f**3 + 2*f**2 + 2*f + 2. Let t(h) be the second derivative of -33*h**5/4 + 5*h**4/12 + 5*h**3/6 + 5*h**2/2 + 758*h + 6. What is -2*t(k) + 5*z(k)? -85*k**3 Let o(y) = 13*y. Let m(a) be the first derivative of 39*a**2 + 3072. Give 6*m(t) - 34*o(t). 26*t Let t(u) = -1. Let a = -247593 - -247592. Let y(d) = -d**2 - 5*d - 4. Let s be y(-3). Let c(j) = 1 - 6 + s + j. Give a*c(v) + 3*t(v). -v Let b(n) = 96 - 91 - 190*n + 193*n. Let x(t) = 5*t - 1. Let v be x(1). Let f(a) = -6*a - 11. Give v*f(i) + 9*b(i). 3*i + 1 Let d(f) = 6*f**2 - 7*f + 6. Let j(m) = -7*m**2 + 2*m**2 + 6*m + 0*m**2 - 16842 + 0*m**2 +
{ "pile_set_name": "DM Mathematics" }
*o**2 - 28 - 4*o**3 - 2*o = 0. What is o? -14, -1, 1 Suppose 11/2*u**2 + 26 - 125/4*u - 1/4*u**3 = 0. What is u? 1, 8, 13 Let f(r) be the first derivative of r**6/5 - 13*r**5/20 + r**4/4 + 3*r**3/2 - 54*r**2 - 22. Let m(y) be the second derivative of f(y). Factor m(s). 3*(s - 1)**2*(8*s + 3) Let n be (-4 - 2) + 1 - -27. Find v such that 127*v**2 + v**5 - 14*v**3 + 120*v**2 - 10*v**4 + n - 219*v**2 + 53*v = 0. -1, 2, 11 Let l(i) be the first derivative of 3*i**4/16 - 33*i**3 + 3267*i**2/2 + 3566. Factor l(j). 3*j*(j - 66)**2/4 Let o(s) be the third derivative of -3/11*s**3 - 1/660*s**6 - 3*s**2 + 0*s + 3/110*s**5 + 1/132*s**4 + 3. Factor o(u). -2*(u - 9)*(u - 1)*(u + 1)/11 Determine x, given that -10*x - 78/11 + 4*x**2 + 34/11*x**4 + 2/11*x**5 + 108/11*x**3 = 0. -13, -3, -1, 1 Let a(n) = 539*n**2 + 1615*n - 3. Let v be a(-3). Find s such that 0 + 0*s**2 + 0*s**v + s**5 - 2/5*s**4 + 0*s = 0. 0, 2/5 Let 745/4*z - 1/4*z**2 - 186 = 0. What is z? 1, 744 Let t(d) = d**2 + 7*d - 22. Let s(n) = 1 + 3*n**2 - 7*n + 8*n + 6*n**2 - 10*n**2. Let p(k) = 6*s(k) + 3*t(k). Suppose p(c) = 0. Calculate c. 4, 5 Let d be (-5 - 425/(-102))/((-51)/(-81) - 1). Let g(h) be the first derivative of 15/8*h**2 - d*h - 34 - 7/12*h**3 + 1/16*h**4. Find w, given that g(w) = 0. 1, 3 Let k(z) be the third derivative of -z**8/240 - 2*z**7/105 + z**6/6 + 16*z**5/15 + 8*z**4/5 - 7406*z**2. Suppose k(q) = 0. Calculate q. -4, -2, -6/7, 0, 4 Let c(d) be the first derivative of -43/8*d**2 - 98 - 31/12*d**3 - 5/16*d**4 + 1/20*d**5 - 9/2*d. Factor c(g). (g - 9)*(g + 1)**2*(g + 2)/4 Let u be 2/(4/(-112)*-14). Let y(n) be the first derivative of 0*n**2 - 1/10*n**5 - 1 + 1/6*n**3 - 1/8*n**u + 1/12*n**6 + 0*n. Factor y(j). j**2*(j - 1)**2*(j + 1)/2 Suppose 9 - 70*h**3 + 10*h**2 - h**5 + 2*h**4 + 76*h**3 - 8*h**4 - 21*h + 3*h**4 = 0. Calculate h. -3, 1 Let o = -5876 + 5879. Suppose -4/7*z**2 + 0*z + 0 + 2*z**o = 0. Calculate z. 0, 2/7 Let w be 1*2 - 6/3. Suppose 5*u + 43 = -528*y + 532*y, y = -4*u + 37. Solve -1/6*j**3 + w*j + 0*j**2 + 0 + 4/3*j**u + 1/3*j**4 = 0. -1/2, 0, 1/4 Determine s so that 495/2*s - 702 - 24*s**2 + 3/8*s**3 = 0. 6, 52 Let u be 19/95*2/((-18)/(-15)). Solve -5/3*c**4 + 5/3*c**2 + 5/3*c**3 + 0 + u*c**5 - 2*c = 0 for c. -1, 0, 1, 2, 3 Let r(u) = -u**3 - 16*u**2 - 17*u - 28. Let y be r(-15). Solve -b**y - 4 + 0*b**2 - 103*b + 98*b = 0 for b. -4, -1 Let r(n) be the third derivative of -n**7/70 + 31*n**6/40 - 43*n**5/10 + 7*n**4 - 1457*n**2. Factor r(c). -3*c*(c - 28)*(c - 2)*(c - 1) Let s = -15 + -12. Let m = -23 - s. Factor -1 - j - m*j**2 + 9*j - 2 - 1. -4*(j - 1)**2 Let m(k) be the first derivative of k**3/9 - 13*k**2/3 + 25*k/3 + 1336. Find f, given that m(f) = 0. 1, 25 Let g(v) be the second derivative of -v**4/21 - 24*v**3/7 - 64*v**2 + 221*v. Factor g(h). -4*(h + 8)*(h + 28)/7 Let s(l) be the third derivative of -3*l**2 + 180*l**3 - 1125/2*l**4 - 15625/24*l**6 + 6*l + 0 + 1875/2*l**5. Factor s(b). -5*(25*b - 6)**3 Factor -584/3*f + 800/3 - 212/3*f**2 - 4/3*f**3. -4*(f - 1)*(f + 4)*(f + 50)/3 Let l(i) = -i**5 - 8*i**4 + 89*i**2 + 127*i + 48. Let f(o) = -10*o**4 - 2*o**3 + 88*o**2 + 126*o + 48. Let y(x) = -3*f(x) + 2*l(x). Factor y(u). -2*(u - 6)*(u - 4)*(u + 1)**3 Suppose 419 = -3*a + 431. Let y be (4 + -1 + 0)/1. Determine l, given that 54*l**4 - 2*l**5 - a*l**3 - 27*l**4 - 31*l**4 + 2*l**y = 0. -1, 0 Let d(c) = 34*c**2 + 77*c + 39. Let q(g) = -3*g - 18*g**2 - 20 - 19*g - 23*g + 7*g. Let w(f) = -6*d(f) - 11*q(f). Factor w(y). -2*(y + 7)*(3*y + 1) Suppose -10*t - 5 + 5 = -76*t. Let l(z) be the second derivative of -1/48*z**3 + 0 - 8*z + t*z**2 - 1/96*z**4. Let l(y) = 0. What is y? -1, 0 Let -2/9*a**2 + 142/9*a - 896/9 = 0. What is a? 7, 64 Let b(v) be the third derivative of -1/180*v**5 + 7/72*v**4 + 174*v**2 - 5/9*v**3 + 0*v + 0. Factor b(m). -(m - 5)*(m - 2)/3 Let f(v) = -1497*v + 12. Let p(j) = j**2 + 2*j + 4. Let i(o) = f(o) - 3*p(o). What is y in i(y) = 0? -501, 0 Let q(o) be the first derivative of -o**6/600 - o**5/75 + o**4/30 + 8*o**3/15 - 13*o**2/2 + 3*o - 68. Let w(l) be the second derivative of q(l). Factor w(x). -(x - 2)*(x + 2)*(x + 4)/5 Let i be 20/(-60)*(-4)/6 - 1407. Let y = 1407 + i. Factor -2/9*t + 4/9 + y*t**3 - 4/9*t**2. 2*(t - 2)*(t - 1)*(t + 1)/9 Let x(m) be the first derivative of -2*m**3/15 - 58*m**2/5 + 768*m/5 - 6567. Determine b so that x(b) = 0. -64, 6 Let u(k) be the third derivative of -k**6/120 + 101*k**5/10 - 30603*k**4/8 - 2*k**2 + 194. Factor u(x). -x*(x - 303)**2 Let s be (-108)/(-24) - 1/(-2). Suppose 0 = 4*k - 4*g - 16, s*k = -2*g - 3*g. Suppose 46 - 4*q**3 - 41 - 5*q**k + 5*q - q**3 = 0. What is q? -1, 1 Let k(n) = 4*n**2 + 5*n - 6. Let l be k(3). Suppose -a - 15 = -t + a, l = 5*t - 4*a. Solve 8*x + 6*x**4 - t*x - 15*x**2 + 3*x**3 + 3*x = 0 for x. -2, 0, 1/2, 1 Let k(g) = -25*g - 773. Let x be k(-31). Let b(h) be the second derivative of 16*h - 1/3*h**3 - 1/30*h**4 - 4/5*h**x + 0. Factor b(j). -2*(j + 1)*(j + 4)/5 Let f(h) be the third derivative of -h**5/90 - 1225*h**4/18 - 1500625*h**3/9 + 4*h**2 - 52*h. Factor f(b). -2*(b + 1225)**2/3 Let x(z) = 2*z**3 - 26*z**2 - z + 8. Let t be x(13). Let h(f) = 5*f**2 + 20*f - 157. Let u(c) = -4*c**2 - 21*c + 159. Let r(a) = t*h(a) - 6*u(a). Factor r(d). -(d - 13)**2 Let o(x) = x**2 + 3*x - 12. Let u be o(0). Let b be ((-2)/u*2)/((-9)/(-405)). Factor 5*k**2 - 15*k + 2 + b - 7. 5*(k - 2)*(k - 1) Suppose w = -t + 2 + 1, 2*t - 4 = 0. Let d = 5 + w. Let -6*h**2 + h**5 + 13*h**3 - 15*h**3 + 13*h**3 - d*h**4 = 0. Calculate h. 0, 1, 2, 3 Factor -75*i**2 + 280*i**3 - 277*i**3 - i**2 + 7*i**2 + 4*i**2 - 196 + 336*i. (i - 14)*(i - 7)*(3*i - 2) Let v(g) be the first derivative of 4*g**3/3 - 68*g**2 - 288*g - 590. Solve v(n) = 0 for n. -2, 36 Let b(g) = g**2 + g + 1. Suppose -3*t = -3*y - 6, 0*y - 8 = 2*y - 3*t. Let w(a) = a**4 - a**3 + a**2 + 3*a + 2. Let o(j) = y*b(j) - w(j). Factor o(p). -p*(p - 1)**2*(p + 1) Let v be 4/7 - (-2204)/406. Let r(f) = f**2 + 2*f + 15. Let m(p) = -3*p**2 - 6*p - 30. Let u(k) = v*m(k) + 13*r(k). Find c such that u(c) = 0. -3, 1 Let b(f) be the first derivative of -f**6/10 - 51*f**5/20 - 39*f**4/2 - 70*f**3 - 132*f**2 - 116*f - 59. Let m(a) be the first derivative of b(a). Factor m(p). -3*(p + 2)**3*(p + 11) Suppose -275*z + 21 = 2*w - 278*z, -4*w - 2*z + 2 = 0. Find f, given that -98/3*f**2 - 10/3*f**w - 24/5 - 368/15*f = 0. -9, -2/5 Let x(m) be the first derivative of m**3/24 - 569*m**2/16 - 285*m/4 + 207. Factor x(d). (d - 570)*(d + 1)/8 Suppose 16*z + 10*z = 182. Factor 2 + 24*f**3 - 2 + 12*f**2 - 8*f**4 - z*f**4. -3*f**2*(f - 2)*(5*f + 2) Factor -3/4*s**2 - 285/4 + 72*s. -3*(s - 95)*(s - 1)/4 Let m be 14/(-6) + (-873)/(-27). What is y in -33*y - 14*y**2 - 21*y + 11*y**2 + m*y = 0? -8, 0 Suppose -5*q + 21 + 14 = 0. Let j be 3 + (-20)/7 - (-27)/q. Determine k so that -2*k - j*k - 4*k - 25 - k**2 = 0. -5 Factor -93270*j - 103586*j - 165882*j**3 - 77*j**4 - 328328*j**2 - 2*j**5 - 1071*j**4 + 33264*j. -2*j*(j + 1)**2*(j + 286)**2 Let r(n) be the third derivative of -n**7/525 + 11*n**6/300 - 7*n**5/50 - 59*n**4/60 + 14*n**3/3 - 7*n**2 + 243. What is k in r(k) = 0? -2, 1, 5, 7 Let b(n) be the second derivative of -n**6/15 - 7*n**5/2 - 116*n**4/3 - 144*n**3 + 2285*n. Factor b(w). -2*w*(w + 4)**2*(w + 27) Suppose 9910*w**2 - 4068*w**3 - 3970*w**2 - 10637*w + 36773*w - 95*w**4 - 4*w**5 - 165*w**4 = 0. Calculate w. -33, -2, 0, 3 Let d(y) be the first derivative of -1/2*y**6 - 57/4*y**4 - 21/5*y**5 + 75 - 12*y - 25*y**3 - 24*y**2. Solve d(i) = 0. -2, -1 Let f(h) be the first derivative of 94 + 1/9*h**3 + 5*h + 4/3*h**2. Factor f(v). (v + 3)*(v + 5)/3 Suppose -3*u - 2 = 1, -2*u + 38 = 4*k. What is r in k - 204*r**2 - 46*r - 224*r - 70 - 10 - 6 - 10*r**3 = 0? -19, -1, -2/5 Let m(c) be the first derivative of 13*c**6/27 - 98*c**5/9 + 703*c**4/18 + 8522*c**3/27 + 3784*c**2/9 + 968*c/9 + 1062. Let m(r) = 0. Calculate r. -2, -1, -2/13, 11 Let j(v) be the second derivative of v**7/42 + v**6/6 + v**5/4 - 43*v**2/2 + 56*v. Let o(c) be the first derivative of j(c). Determine q so that o(q) = 0. -3, -1, 0 Let f(n) be the first derivative of 5*n**4 - 641*n**3/3 + 1351*n**2/2 - 298*n - 1350. Factor f(d). (d - 2)*(4*d - 1)*(5*d - 149) Suppose 0 - 1587/2*v**3 - 45/4*v**5 + 1245*v**2 - 1797/
{ "pile_set_name": "DM Mathematics" }
there in 67/5 of a millennium? 1340 How many millilitres are there in fourty-five eighths of a litre? 5625 What is fifty-one fifths of a litre in millilitres? 10200 What is 3/32 of a millennium in months? 1125 How many nanograms are there in 7/8 of a microgram? 875 What is 4/15 of a minute in seconds? 16 Convert 3445.727 milliseconds to microseconds. 3445727 What is 0.0429158ug in kilograms? 0.0000000000429158 What is seven halves of a millennium in centuries? 35 How many nanograms are there in 69171.96 milligrams? 69171960000 How many centuries are there in 55/2 of a millennium? 275 How many centuries are there in 8967.933 millennia? 89679.33 How many nanograms are there in 74/5 of a microgram? 14800 How many milliseconds are there in five eighths of a minute? 37500 How many nanograms are there in 8506.64kg? 8506640000000000 What is seven quarters of a millimeter in micrometers? 1750 What is 33/5 of a meter in millimeters? 6600 What is 9517.93t in micrograms? 9517930000000000 How many years are there in twenty-nine halves of a century? 1450 What is one tenth of a centimeter in millimeters? 1 Convert 29573.847 hours to days. 1232.243625 What is 135834.8 kilometers in nanometers? 135834800000000000 What is 8.333197ml in litres? 0.008333197 How many seconds are there in 16/15 of a hour? 3840 How many millilitres are there in six fifths of a litre? 1200 Convert 407406.7 decades to months. 48888804 What is 0.170753 days in minutes? 245.88432 How many centimeters are there in seven eighths of a kilometer? 87500 How many litres are there in 9097.227ml? 9.097227 What is 0.7224587 millilitres in litres? 0.0007224587 How many millimeters are there in 19.6839um? 0.0196839 What is 3296.755g in micrograms? 3296755000 What is 59/4 of a minute in seconds? 885 Convert 199905.96 microseconds to minutes. 0.003331766 How many millilitres are there in one quarter of a litre? 250 How many centimeters are there in 9.010579 kilometers? 901057.9 What is five eighths of a kilometer in centimeters? 62500 Convert 36.69729 kilograms to micrograms. 36697290000 Convert 0.820253t to kilograms. 820.253 How many millilitres are there in 7/4 of a litre? 1750 Convert 18.8524 millilitres to litres. 0.0188524 Convert 131638.5ml to litres. 131.6385 How many milliseconds are there in one twentieth of a minute? 3000 How many micrometers are there in 11/4 of a centimeter? 27500 Convert 380.9217ml to litres. 0.3809217 What is one fifth of a litre in millilitres? 200 What is 13/8 of a millennium in years? 1625 Convert 301782.3g to tonnes. 0.3017823 Convert 262064.2um to kilometers. 0.0002620642 How many minutes are there in 13/8 of a day? 2340 What is 13/4 of a litre in millilitres? 3250 What is 97.19903 millilitres in litres? 0.09719903 How many months are there in 6/5 of a decade? 144 What is 1/5 of a millimeter in micrometers? 200 How many millilitres are there in 1/10 of a litre? 100 How many millilitres are there in fifty-three quarters of a litre? 13250 How many minutes are there in one eighteenth of a day? 80 How many minutes are there in sixty-two thirds of a day? 29760 How many micrometers are there in 27/5 of a millimeter? 5400 What is one tenth of a litre in millilitres? 100 What is 1/24 of a day in hours? 1 What is twenty-six fifths of a meter in centimeters? 520 How many seconds are there in 59/4 of a hour? 53100 How many litres are there in 182.2175ml? 0.1822175 How many millilitres are there in 65723.11l? 65723110 What is 1/5 of a millimeter in micrometers? 200 How many nanometers are there in twenty-seven halves of a micrometer? 13500 How many months are there in one sixteenth of a century? 75 What is 0.800271cm in micrometers? 8002.71 What is 5/4 of a millennium in years? 1250 What is three fifths of a millennium in decades? 60 What is twenty-one eighths of a litre in millilitres? 2625 Convert 91488.3 meters to kilometers. 91.4883 What is 52.5360402 minutes in weeks? 0.00521190875 How many microseconds are there in 3/8 of a millisecond? 375 What is 3/8 of a gram in milligrams? 375 How many millennia are there in 756421.8 years? 756.4218 Convert 3.469687um to centimeters. 0.0003469687 How many millilitres are there in fifteen quarters of a litre? 3750 What is 5/4 of a hour in seconds? 4500 How many nanometers are there in three eighths of a micrometer? 375 What is eleven halves of a day in minutes? 7920 What is 32828.18 weeks in days? 229797.26 How many hours are there in 23.279373 minutes? 0.38798955 Convert 257.8282 millilitres to litres. 0.2578282 What is 508.3862 millennia in decades? 50838.62 What is 13/4 of a week in hours? 546 How many minutes are there in 1/6 of a week? 1680 Convert 76.25901l to millilitres. 76259.01 How many millilitres are there in three eighths of a litre? 375 How many litres are there in 9751.34 millilitres? 9.75134 What is three tenths of a litre in millilitres? 300 What is 10/21 of a week in minutes? 4800 How many millennia are there in 47.8731 centuries? 4.78731 What is 34.04218 grams in milligrams? 34042.18 What is 936080.5kg in micrograms? 936080500000000 Convert 334.1561 nanoseconds to seconds. 0.0000003341561 What is 8/25 of a millennium in months? 3840 What is 199.3518mm in nanometers? 199351800 What is fifteen quarters of a meter in centimeters? 375 What is 442083.6 seconds in minutes? 7368.06 How many years are there in 9.405181 millennia? 9405.181 How many hours are there in 55/2 of a week? 4620 Convert 26.87954 milligrams to nanograms. 26879540 What is eleven eighths of a litre in millilitres? 1375 How many millilitres are there in three fifths of a litre? 600 What is seventeen quarters of a decade in months? 510 What is eleven halves of a gram in milligrams? 5500 What is fifteen quarters of a tonne in kilograms? 3750 Convert 1467.188 milliseconds to seconds. 1.467188 Convert 71.43925 centuries to months. 85727.1 Convert 201242.9ns to seconds. 0.0002012429 How many minutes are there in seven halves of a day? 5040 What is eighteen fifths of a day in minutes? 5184 What is three fifths of a second in milliseconds? 600 Convert 480932.1ml to litres. 480.9321 How many millilitres are there in one fifth of a litre? 200 What is 3.433041 centimeters in nanometers? 34330410 How many millimeters are there in 43/2 of a centimeter? 215 How many seconds are there in 1/16 of a week? 37800 Convert 5.48056cm to micrometers. 54805.6 What is fourty-nine fifths of a microgram in nanograms? 9800 What is 0.0778299ml in litres? 0.0000778299 How many litres are there in 84837.54ml? 84.83754 How many kilograms are there in 682639.8g? 682.6398 Convert 2672.4258 months to centuries. 2.2270215 How many seconds are there in 17/6 of a hour? 10200 What is 2.847442mm in nanometers? 2847442 How many months are there in 4/3 of a century? 1600 What is 26/5 of a decade in years? 52 Convert 0.9665109l to millilitres. 966.5109 How many millilitres are there in 13/4 of a litre? 3250 How many millilitres are there in 3/25 of a litre? 120 How many millennia are there in 1811.505 months? 0.15095875 How many months are there in one quarter of a millennium? 3000 Convert 1156.76ms to seconds. 1.15676 How many centimeters are there in three sixteenths of a kilometer? 18750 Convert 66.60699 grams to nanograms. 66606990000 What is thirteen fifths of a century in decades? 26 How many microseconds are there in 15/4 of a millisecond? 3750 What is 17/2 of a centimeter in micrometers? 85000 What is fifty-nine fifths of a kilogram in grams? 11800 How many months are there in three fifths of a century? 720 How many nanoseconds are there in 1/10 of a millisecond? 100000 What is three eighths of a week in minutes? 3780 What is 17/4 of a year in months? 51 How many months are there in 1/30 of a century? 40 Convert 0.942669 micrometers to kilometers. 0.000000000942669 Convert 0.23981 kilometers to meters. 239.81 Convert 550.0203um to nanometers. 550020.3 What is 3.978026 nanometers in kilometers? 0.000000000003978026 Convert 184.2872mm to meters. 0.1842872 How many months are there in 1/5 of a millennium? 2400 How many millilitres are there in fifty-four fifths of a litre? 10800 What is three fifths of a litre in millilitres? 600 How many nanograms are there in 3132.602 kilograms?
{ "pile_set_name": "DM Mathematics" }
, 1 s, and 1 m when three letters picked without replacement from {i: 3, s: 1, m: 4}. 3/14 Calculate prob of picking 2 r when two letters picked without replacement from {r: 16, x: 1, m: 3}. 12/19 Three letters picked without replacement from glglgallga. What is prob of picking 1 l, 1 g, and 1 a? 4/15 Two letters picked without replacement from tltpcklltkppcpxx. Give prob of picking 1 x and 1 c. 1/30 What is prob of picking 2 x, 1 f, and 1 h when four letters picked without replacement from efxffefhhhxhh? 4/143 What is prob of picking 2 v and 2 q when four letters picked without replacement from {v: 3, u: 1, q: 5}? 5/21 Calculate prob of picking 2 e and 1 r when three letters picked without replacement from kree. 1/4 What is prob of picking 4 t when four letters picked without replacement from ttttttt? 1 What is prob of picking 1 c and 1 r when two letters picked without replacement from ccwckrqruuuc? 4/33 Four letters picked without replacement from {r: 11, w: 1, q: 6}. Give prob of picking 3 q and 1 w. 1/153 What is prob of picking 1 e, 1 y, 1 j, and 1 t when four letters picked without replacement from {j: 3, e: 12, t: 1, y: 4}? 48/1615 Two letters picked without replacement from maamm. What is prob of picking 2 m? 3/10 Four letters picked without replacement from {l: 1, p: 4, j: 3, m: 3}. What is prob of picking 3 j and 1 l? 1/330 What is prob of picking 2 c when two letters picked without replacement from {c: 5}? 1 Three letters picked without replacement from {v: 4, h: 1, e: 1, t: 1, k: 1}. What is prob of picking 1 k and 2 v? 3/28 Calculate prob of picking 3 e when three letters picked without replacement from {y: 5, e: 7}. 7/44 Calculate prob of picking 2 c and 2 f when four letters picked without replacement from zfzzcycccgfc. 2/99 Four letters picked without replacement from {x: 2, g: 2, z: 4}. Give prob of picking 2 x, 1 z, and 1 g. 4/35 What is prob of picking 1 c and 1 o when two letters picked without replacement from ccocccco? 3/7 What is prob of picking 2 e when two letters picked without replacement from {l: 3, w: 2, g: 1, x: 1, e: 3}? 1/15 Three letters picked without replacement from {b: 5, l: 8}. Give prob of picking 3 l. 28/143 What is prob of picking 2 r when two letters picked without replacement from {h: 3, r: 7}? 7/15 Calculate prob of picking 2 v and 1 a when three letters picked without replacement from ddvaaadv. 3/56 Two letters picked without replacement from fxbiixffiffzftbbx. What is prob of picking 1 b and 1 t? 3/136 What is prob of picking 1 z and 1 n when two letters picked without replacement from {y: 5, n: 2, z: 2}? 1/9 Two letters picked without replacement from xxaxaxxajjaxaaajjx. Give prob of picking 2 x. 7/51 Two letters picked without replacement from tkpppppktptttptkp. What is prob of picking 2 t? 15/136 Two letters picked without replacement from {c: 1, a: 1, i: 2, f: 1, h: 2}. What is prob of picking 1 a and 1 f? 1/21 Two letters picked without replacement from {w: 7, s: 5}. What is prob of picking 2 s? 5/33 Four letters picked without replacement from {x: 7, s: 2, w: 1}. Give prob of picking 3 x and 1 w. 1/6 Calculate prob of picking 2 c and 1 r when three letters picked without replacement from rcrrrrcrcr. 7/40 What is prob of picking 1 r and 3 b when four letters picked without replacement from bybztztltzbltbtrtlb? 5/1938 What is prob of picking 1 s and 1 v when two letters picked without replacement from pssvy? 1/5 Two letters picked without replacement from ccccsccssccss. What is prob of picking 2 s? 5/39 Four letters picked without replacement from blabyabbaaa. What is prob of picking 1 y, 1 a, 1 l, and 1 b? 2/33 Three letters picked without replacement from btbfbfttttftt. Give prob of picking 3 b. 1/286 What is prob of picking 2 b when two letters picked without replacement from {i: 8, e: 3, b: 2, w: 1, x: 5}? 1/171 Three letters picked without replacement from {k: 1, x: 3, n: 2, s: 3, r: 3, g: 2}. What is prob of picking 2 g and 1 r? 3/364 Calculate prob of picking 2 i when two letters picked without replacement from iiiiiicciiiiiiciiiii. 68/95 Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {w: 7, s: 4}. 28/55 Calculate prob of picking 2 g and 2 s when four letters picked without replacement from {g: 10, u: 1, s: 2, k: 1}. 45/1001 Calculate prob of picking 2 f and 2 s when four letters picked without replacement from {j: 1, y: 3, s: 5, f: 2, w: 1, b: 3}. 2/273 What is prob of picking 1 m and 2 k when three letters picked without replacement from {k: 7, m: 4, d: 2}? 42/143 What is prob of picking 1 x and 1 w when two letters picked without replacement from {x: 3, w: 8}? 24/55 Three letters picked without replacement from laaqleaeeeaaaaaaaqaa. What is prob of picking 1 l and 2 a? 11/95 Four letters picked without replacement from {p: 9, c: 5}. What is prob of picking 2 p and 2 c? 360/1001 Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {w: 2, a: 4, i: 2, z: 2, p: 3}. 2/143 What is prob of picking 1 i and 3 d when four letters picked without replacement from {d: 5, i: 14}? 35/969 Three letters picked without replacement from {i: 1, a: 7, f: 4, d: 3, s: 1}. Give prob of picking 1 s and 2 d. 3/560 What is prob of picking 1 t and 1 m when two letters picked without replacement from yywcwwwmyywwwcywwtmw? 1/95 Calculate prob of picking 3 i when three letters picked without replacement from ggttiigggiigiit. 4/91 Three letters picked without replacement from cbbbccbccccccccbccc. What is prob of picking 2 c and 1 b? 455/969 Calculate prob of picking 2 v when two letters picked without replacement from {m: 3, v: 2}. 1/10 Calculate prob of picking 1 e, 1 v, and 2 x when four letters picked without replacement from vvevvvxvvxxvcv. 27/1001 Calculate prob of picking 2 r when two letters picked without replacement from rsssrsssssssrs. 3/91 Four letters picked without replacement from oefqofpeccoc. Give prob of picking 1 f, 2 e, and 1 o. 2/165 Calculate prob of picking 3 p and 1 z when four letters picked without replacement from {r: 6, i: 1, p: 4, z: 4, a: 2}. 4/595 Two letters picked without replacement from atzhbbad. What is prob of picking 1 h and 1 z? 1/28 Four letters picked without replacement from {j: 1, a: 1, b: 7}. What is prob of picking 1 j and 3 b? 5/18 Four letters picked without replacement from {m: 3, h: 2, w: 4, l: 4, x: 3}. Give prob of picking 1 l, 1 h, and 2 w. 12/455 Four letters picked without replacement from fppubenu. What is prob of picking 1 n, 1 b, 1 p, and 1 f? 1/35 Calculate prob of picking 2 q and 2 h when four letters picked without replacement from {q: 2, h: 2}. 1 Two letters picked without replacement from ihiiihiiiiiiihiiiiii. Give prob of picking 1 i and 1 h. 51/190 Three letters picked without replacement from bjxhtph. Give prob of picking 1 h, 1 x, and 1 j. 2/35 Two letters picked without replacement from {i: 4, d: 2, z: 1, r: 2}. What is prob of picking 1 z and 1 i? 1/9 Four letters picked without replacement from ihihiihtwhmaithmiima. What is prob of picking 4 i? 7/969 Calculate prob of picking 2 r when two letters picked without replacement from drdrr. 3/10 What is prob of picking 2 x and 1 e when three letters picked without replacement from eeeeeexexeeexeeeeeee? 17/380 Two letters picked without replacement from kkxkkkqfbfkxkkkqpx. Give prob of picking 1 p and 1 f. 2/153 Three letters picked without replacement from {m: 3, a: 5, f: 3, o: 8, r: 1}. What is prob of picking 1 m, 1 o, and 1 a? 2/19 Three letters picked without replacement from {h: 10, x: 2}. Give prob of picking 2 h and 1 x. 9/22 What is prob of picking 3 a and 1 m when four letters picked without replacement from agooohhaamo? 1/330 Three letters picked without replacement from nsykayyikkki. What is prob of picking 2 i and 1 s? 1/220 What is prob of picking 3 f when three letters picked without replacement from bfqf? 0 Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {b: 1, a: 1, n: 3}. 1/10 Four letters picked without replacement from ikyxxkxxkxkxix. What is prob of picking 4 x? 5/143 Calculate prob of picking 3 k when three letters picked without replacement from {k: 7, i: 3}. 7/24
{ "pile_set_name": "DM Mathematics" }
**(-2340) Simplify g**(-8)/g**(-2/53)*g/g**34*g**(-3/14) assuming g is positive. g**(-30553/742) Simplify v*v/v**(-3/20)*v*v*v*v**(2/15)*v**(-3/5)*v**(-9) assuming v is positive. v**(-259/60) Simplify (r/r**(-9))/r*r**(-8)/r*(r/(r**9/r))**(-45) assuming r is positive. r**315 Simplify ((w**(-9/8)/w)/(w**(-7/5)*w))/(w*w**(-10)*w/(w/w**(1/3)*w)) assuming w is positive. w**(953/120) Simplify (m/m**21)/((m*m**(-9/5))/m)*(m**(-11))**(-1) assuming m is positive. m**(-36/5) Simplify (b**(-1)/b*b/(b*b**14*b)*b*b)/(b**(-2/7)*b)**(-24) assuming b is positive. b**(15/7) Simplify (w**(-2)*w)**13*(w*w**13*w*w*w)/w*w**(-5) assuming w is positive. w**(-2) Simplify g*g/g**(-7/5)*g**(3/2)*(g/(g*g**(-4)/g))**14 assuming g is positive. g**(749/10) Simplify (p**(-4/5)*(p**(-3)*p)/p)/((p/p**(-3))/p*p*p**(2/5)) assuming p is positive. p**(-41/5) Simplify (j**(-14)*j**(3/4)*j)**38 assuming j is positive. j**(-931/2) Simplify (j*j**(-2/51))/(j/j**(6/7))*((j*j/j**(-12))/j)/j*j**(-11) assuming j is positive. j**(649/357) Simplify ((r*r**2)/(r/(r**5*r)))/(r/(r*r*r**(-6)))**(-25/4) assuming r is positive. r**(157/4) Simplify (i**(-1/13)/(i*i*i/i**(2/11)))/(i*i**(-3/11)*i/i**22*i) assuming i is positive. i**(2342/143) Simplify q**7/q*q*q/(q*q**(-7/3)/q*q)*(q*q**(1/9))/q*q**(-1/3) assuming q is positive. q**(82/9) Simplify ((m**11/(m*m/(m/((m/m**(-1/13))/m))))/((m/(m**(1/5)/m*m*m*m*m*m))/(m/(m/m**(-5/7))*m)))**(-11/4) assuming m is positive. m**(-67111/1820) Simplify (y**(-15)*y**(-17))/(y**8)**(16/5) assuming y is positive. y**(-288/5) Simplify (b*((b/(b*b*b/b**12))/b*b)/b*b)/b*b*b*b**2*b**(1/6)*b*b/(b/(b*(b**11/b)/b*b*b)) assuming b is positive. b**(163/6) Simplify ((r**(2/5)/r*r)**(-1/10)*r**(-1)*r/r**(1/5))**(-24) assuming r is positive. r**(144/25) Simplify (z**12*z*z**(6/5))/(z**0*z**(-2/9)) assuming z is positive. z**(649/45) Simplify (p**(1/3)/p**(-2/3))**3 assuming p is positive. p**3 Simplify ((j**(7/2)*j**(2/5))/(j**(-1/2))**(-3/23))**36 assuming j is positive. j**(15876/115) Simplify n*n**(-3/8)*(n/(n*(n*n/(n*n**(-2/79)/n))/n))/n*n**(4/3)/(n/(n*n**(3/28))) assuming n is positive. n**(533/13272) Simplify r**(-3)/(r*r*r/((r**(-3/5)*r)/r))*((r*r/(r/((r/(r*(r**(10/3)/r)/r*r)*r)/r))*r)/r)/(r/r**(-2/11)) assuming r is positive. r**(-1504/165) Simplify (((r**5*r)/r)/(r*r*r*r**(-3/14)/r*r*r*r))/(((r*r/(r/r**(-5/7)))/r*r)/((r/r**7)/r)) assuming r is positive. r**(-99/14) Simplify ((q*q**(-16)*q)/(q*q**(-1/38)))**(-14) assuming q is positive. q**(3983/19) Simplify (t*t**(9/5)*t)**20/((t*t**14/t)/t)**23 assuming t is positive. t**(-223) Simplify q**(-7)/(((q**8/q)/q)/q)*q**(-4/7)/q**(-1/3) assuming q is positive. q**(-257/21) Simplify (a**6)**29/(a**(-3/4))**(-46) assuming a is positive. a**(279/2) Simplify (j**(2/13))**31*(j**(1/5))**(1/4) assuming j is positive. j**(1253/260) Simplify (d/(d**(-9)/d))/(d/(d/d**(2/9)))*(d/(d/d**2)*d)**(5/8) assuming d is positive. d**(911/72) Simplify (c**(3/5)*c)**(-14/15)*(c/((c*c**(-15)*c)/c))/c**(-2/17) assuming c is positive. c**(17371/1275) Simplify (i**(-8)/(i/i**(-34)))**(-23) assuming i is positive. i**989 Simplify (g**(2/13)/g*g)**(-33)*g/((g/g**(1/2))/g)*g/((g**(5/4)*g)/g) assuming g is positive. g**(-199/52) Simplify (q/q**(-2/31)*q*((q*q**(1/8))/q)/q)/(q**(3/5)/(q/(q*q**20*q*q)*q)) assuming q is positive. q**(-25309/1240) Simplify (p**(-1/3))**(7/5)/(p*p**(-2/33)*p*p*p/(p*p**(-2/9))*p) assuming p is positive. p**(-2291/495) Simplify ((i/(i**31*i*i))/i**(2/5))/(i**(-15))**(11/4) assuming i is positive. i**(177/20) Simplify ((f*f*f**(1/2))**16*(f*(f*f/(f**(1/2)*f))/f*f)**(1/21))**(8/7) assuming f is positive. f**(2244/49) Simplify ((i**(-30)*i/(i*i**(-29)))**(2/51))**(2/29) assuming i is positive. i**(-4/1479) Simplify (k**(-13)/(k*k/(k*k**18*k*k)))/(k**(-3)/k**(8/7)) assuming k is positive. k**(71/7) Simplify (n**(-7/4)*n)/n*n*n**(-9)/n*(n**(5/4)/n)/n*n/(n*n**2/n)*n assuming n is positive. n**(-23/2) Simplify w**(7/4)*w**9*w**13/w**(-6) assuming w is positive. w**(119/4) Simplify n**8/(n*n**(2/23))*(n**(-6)/n)**39 assuming n is positive. n**(-6120/23) Simplify (m**5/m**(-1/2)*m**(-3/4)*m**(-1/2))**(1/4) assuming m is positive. m**(17/16) Simplify (a**13/(a**(-18)*a))/(a*a*a/(a*a/(a/(a/a**(-2)))*a)*a*a/(a**(-1/8)/a)) assuming a is positive. a**(231/8) Simplify (((n**(3/10))**(-12))**(-9))**(-4/11) assuming n is positive. n**(-648/55) Simplify (h*h**(-8)/h)/h**(2/3)*(((h*h*h**(-1))/h)/h)**(-1) assuming h is positive. h**(-23/3) Simplify n**31*n/n**(14/9)*((n/n**(-3))/n)**(-9/7) assuming n is positive. n**(1675/63) Simplify (q*q**(-1/8)/q*q)**1*q*q*q*q**(-4)*q*q*q**(-18)*q assuming q is positive. q**(-121/8) Simplify (m**5/m)**(-50)/(m*(m/m**6)/m*m)**(-33) assuming m is positive. m**(-332) Simplify ((q/((q/((q/((q*q**(-2/85))/q))/q))/q))/(q**14/q))**11 assuming q is positive. q**(-11198/85) Simplify ((r**3*r)/r*r**(-1/15))/((r/r**(-2/17))/(r*r**(-6/7))) assuming r is positive. r**(3496/1785) Simplify (p**0)**39*(p**(-16/9)/p)/p**(3/13) assuming p is positive. p**(-352/117) Simplify g**2*g*g*g**(-10)/g*(g**(-2))**(-7/4) assuming g is positive. g**(-7/2) Simplify x**(-27)*x**(-9)/x*x**(1/2)/x*x**(-15/8) assuming x is positive. x**(-315/8) Simplify (z*z/(z*z*z/z**(-2/13)))**(-3/20)/(z**(20/3)*z*(z/(z**(-12/7)/z))/z*z) assuming z is positive. z**(-12239/1092) Simplify ((k**(-2/9))**(-48)*(k*k**(-2/3)/k)**(2/33))**(-4) assuming k is positive. k**(-4208/99) Simplify ((z*z**(1/4)/z)**47*(z**(-2/7))**17)**(-25) assuming z is positive. z**(-4825/28) Simplify (c**(-4/9)*c*c**(3/2)*c*c**(-8)*c/(c*c/(c/c**(2/19))))**(5/9) assuming c is positive. c**(-8635/3078) Simplify (s/s**(3/5)*s**16)**(4/7) assuming s is positive. s**(328/35) Simplify (o**(-15)*o*o**(-14)*o*o)/((o**(-4/3)/o)/(o*o/((o**(-23)/o)/o*o)*o)) assuming o is positive. o**(10/3) Simplify ((y*y**(-1))**(-41)*(y*y**(1/4)*y)**(36/5))**(-3/22) assuming y is positive. y**(-243/110) Simplify ((a/(a*(a*a**(-2/23))/a*a))/a*a**9)**(-37) assuming a is positive. a**(-6031/23) Simplify h**(-1/4)*h*(h/h**(-10))/h*h**(-1)/(h/h**(-3)) assuming h is positive. h**(23/4) Simplify ((v**7*v)/(v*v/v**(3/7)))/(v**(-5)/(v**(1/5)*v)) assuming v is positive. v**(442/35) Simplify ((j**7/(j*(j**0*j)/j))/(j**1*j/j**(4/5)))**(-2/51) assuming j is positive. j**(-16/85) Simplify (s*s*s*s/(((s*s**0)/s)/s*s))**(-27)*s**(-2)/(s/(s/(s/(s**14/s)))) assuming s is positive. s**(-98) Simplify ((j*j**(-4/7)*j)/(j/(j/(j*j**(-5)*j)))*(j**(2/17)*j)/(j*(j**(1/18)/j)/j*j))**(-45) assuming j is positive. j**(-58805/238) Simplify (h**(-9/7)/(h**23/h))/(h/(h/(h/(h/h**(-3/2)*h))))**(2/135) assuming h is positive. h**(-4394/189) Simplify (c/(c*c**12*c)*(c*(c/((c*c/(c*(c/(c*c**(-1/6)*c*c*c*c))/c))/c))/c*c)/c*c)/((c**0*c)/(c*c*c**(-2/11))) assuming c is positive. c**(-991/66) Simplify ((s/s**21*s)**(1/31))**(-29) assuming s is positive. s**(551/31) Simplify (b*b/(b**(-8)/b))**(-49)*b**(-27)*b**(-7/5) assuming b is positive. b**(-2837/5) Simplify ((s**(-3)/s)/(s/(s**(-6)*s)))/(s**(-1/14)*s**(-13/5)*s) assuming s is positive. s**(-583/70) Simplify (h*h**(-3))**(9/10)/((h*h*h*h**2*h)/((h**(2/11)*h)/h*h)) assuming h is positive. h**(-364/55) Simplify (((((a**(10/3)*a)/a)/a)/a**(-2/13))**(-10))**(4/19) assuming a is positive. a**(-3880/741) Simplify (p**(3/4)/p)/p*(p/(p**(-5)*p))/p*p*(p**(-4))**40 assuming p is positive. p**(-625/4) Simplify (a**(-5)*a/a**(-8))**(1/50) assuming a is positive. a**(2/25) Simplify ((v**(-4/7)/v)/v)**8/((v*((v/(v**1/v))/v)/v)/v)**(-10) assuming v is positive. v**(-214/7) Simplify (u/u**(-1/26)*u**(-2/31))**(-28) assuming u is positive. u**(-10990/403) Simplify (u/(u/(u**14/u)*u))**(1/54)*u*u*u*u/(u*u**(-3/5))*u/((u/((u/(u/u**(-4/5)))/u))/u)*u assuming u is positive. u**(181/45) Simplify (q**(-6/13)*q*q)/(q/((q*q/(q/(q*q*q**(10/9))*q))/q))*(q**(4/9)*q)**(-13/4) assuming q is positive. q**(-319/156) Simplify (s*s*s*s**(-6))**(2/3)*((s/(s*s**8))/s)/(s*s**(-7/3)) assuming s is positive. s**(-29/3) Simplify (k*k/(k/k**2*k))**(-1/47)*k**9*k/(k*k/((k*k*k**13)/k*k*k)) assuming k is positive. k**(1126/47) Simplify ((w*w**22)**(-45))**(1/12) assuming w is positive. w**(-345/4) Simplify ((p/(p/((p**(-9/4)*p*p)/p*p)))/p*p)/(p/(p*p**(-4))*p)*p/p**(-1/6)*p*((p/(p*p**5))/p)/p assuming p is positive. p**(-121/12) Simp
{ "pile_set_name": "DM Mathematics" }
). 1176*m**4 Expand -3242 + 3242 - 277*t - 1 + 1 - t + (-4*t + 4*t - t)*(4 - 1 - 2). -279*t Expand (-5 + 5 + 1)*(-59 - 17 - 9*s**2 + 74 - 2*s**4 + 4*s). -2*s**4 - 9*s**2 + 4*s - 2 Expand 4*l**4 - l**4 - 2*l**4 + (-134*l**4 - 119*l**4 + 238*l**4)*(-3 + 1 + 1). 16*l**4 Expand 0*i**5 + 3*i**5 + i**5 - 4*i**2 + 4*i**2 + 2*i**5 + 3*i**3 - 3*i**3 + 2*i**5 + (1 - 1 + i**3)*(7*i**2 - 3*i**2 - 2*i**2) - 9*i**3 + 8*i**5 + 9*i**3. 18*i**5 Expand (-79 + 33 + 2 - 1)*(q**2 - 5*q**3 - q**2). 225*q**3 Expand 7*t**2 - 3*t**2 - 3*t**2 + 5*t**2 - t**2 + 4*t**2 + t**2 + t**2 - 4*t**2 + (-3 - 2 + 6)*(5*t**2 - 3*t**2 + 0*t**2) + 3*t**2 - 3*t**2 - t**2. 8*t**2 Expand 0*w + 0*w + 2*w + w - 1 + 1 + (-26*w + 17*w - 28*w)*(-4 + 2 + 3) + (-1 - 1 + 4)*(-2*w - w + 5*w) - w + 5*w - 3*w. -29*w Expand (0*k - 2 - 3 + 2*k)*(0*k + k**3 + 0*k)*(-5 - 15 - 1). -42*k**4 + 105*k**3 Expand (2 - 1 - 2)*(233 + 171 - 660)*(-5*u + 4*u - u). -512*u Expand (4*i - 4*i - i + (-4*i + i + i)*(0 + 2 + 2) - i + 2*i - 3*i)*(-2*i**2 + 5*i**2 - i**2). -22*i**3 Expand (-3*m + 3*m - 62*m**2)*(-2*m - 2*m - 3*m). 434*m**3 Expand (55 - 134*w + 268*w - 132*w)*(5 - 1 - 4*w**2 - 3). -8*w**3 - 220*w**2 + 2*w + 55 Expand ((0 + 1 - 3)*(y - 4*y + 2*y) + y - y + 2*y + 2*y - 6*y + 3*y)*(-31*y - 97*y - 2 + 57*y). -213*y**2 - 6*y Expand -4*x**2 + 4*x**2 + 52*x**3 + (0 + 0 - 2*x)*(10*x - 10*x - 11*x**2). 74*x**3 Expand (-1 + 0 - 1)*(0*s + 0*s - 4*s**2)*(s**2 + 15*s - 29*s + 13*s). 8*s**4 - 8*s**3 Expand (0 - 3 + 1)*(-3*l**2 + 0*l**2 + 0*l**2) + 12*l**2 - 12*l**2 + 25*l**2 + (-3*l - 4*l + 5*l)*(6*l - l - 4*l). 29*l**2 Expand (-c**2 + 4 - 4)*(2*c - c - 3*c) + 3*c**3 + 33*c**3 + 8*c**3 + (c - c + c)*(-4*c**2 + 2*c**2 + 3*c**2). 47*c**3 Expand (-2*j + 2*j - j**2)*(11*j - 2*j - 12*j)*(-13*j**2 - 8*j + 11*j**2 - 11*j). -6*j**5 - 57*j**4 Expand (-l - l + 7*l)*(4 + 0 - 2) + (0 - l + 0)*(5 - 2 - 1)*(-9 + 0 - 23). 74*l Expand (0 + 0 - 2)*(-2*c**4 + 14*c**4 - c**4) - 3*c**4 + c**4 + 0*c**4 + ((0*c**2 + 0*c**2 - c**2)*(-3 + 4 + 1) + 6*c - 6*c - 2*c**2)*(3*c**2 + 0*c**2 - c**2). -32*c**4 Expand (5*s**2 - s**2 - 3*s**2)*(378*s**2 - 100*s**2 + 728*s - 726*s). 278*s**4 + 2*s**3 Expand (-2*d - 5871*d**2 - 8 + 2940*d**2 + 2852*d**2)*(-4 + 4 + d**2). -79*d**4 - 2*d**3 - 8*d**2 Expand (200 - 12 + 78)*(4*i + 2*i - 4*i + 1). 532*i + 266 Expand (r + 2*r**2 - r)*(55*r**2 + 6*r - 113*r**2 + 55*r**2) + (-2 + 2*r**2 + 2)*(-3*r**2 - r**2 + 3*r**2). -8*r**4 + 12*r**3 Expand (-3*r**2 + 2*r**2 + 3*r**2)*(5 + 0 + 5) + 168 + 26*r**2 - 168. 46*r**2 Expand (84 - 171 - 22*p**5 + 88)*(3 - 3 - 2). 44*p**5 - 2 Expand ((3*b - 2*b - 3*b)*(-3 - 1 + 2) + 89*b - 7*b + 50*b)*(-5*b**2 + 2*b**2 + 4*b**2). 136*b**3 Expand -4*f + 6*f + 0*f + 248 + 139*f - 248 + (1 - 1 + 3)*(0 - 2*f + 0) + 4 - 2*f - 4. 133*f Expand (-7 - 6 + 8)*(-t - 1 + 1)*(-4*t + 3*t + 3*t)*(-t - 10 + 10). -10*t**3 Expand (-n**3 + 4 - 4)*(4*n - n - 2*n - 2*n + 3*n - 2*n + (0 + 2 - 1)*(-3*n - 5 + 5) - 2*n + 4 - 4 - 4*n + 2*n + 3*n). 4*n**4 Expand 2*z**4 - 7*z**4 + 2*z**4 + (-2 + 6 - 2)*(-437*z + 39*z**3 + 437*z - z**4). -5*z**4 + 78*z**3 Expand (-6 + 2*n + 6)*(-n**2 + n**2 - n**2)*(-1 - 6 - 3*n + 4). 6*n**4 + 6*n**3 Expand (-4*j + j - j)*(279*j - 35*j**4 - 279*j) + (j**3 - 2 + 2)*(8*j - 8*j - 3*j**2). 137*j**5 Expand 4*d**3 - 3*d**3 + 0*d**3 + (0*d**2 + 2*d**3 + 0*d**2)*(3 + 0 - 5) + 4*d**3 - 3*d**3 - 3*d**3 - 6*d**3 + 16*d**3 - 11*d**3 - 4*d**3 + 29. -10*d**3 + 29 Expand (2 - 7 + 3)*(-i**3 + i**3 + i**3) + 6*i - 6*i + i**3 + 2*i**3 + 0*i**3 + 0*i**3 + (-3*i + 0*i + i)*(-2*i**2 - i**2 + i**2). 5*i**3 Expand ((2*v - 4*v + 0*v)*(5 - 21 - 10) + (-2*v - 2 + 2)*(-1 + 4 + 0) - 2*v + 0*v + 3*v)*(v - 1 + 1). 47*v**2 Expand (2*k + 3*k - 7*k)*(3*k**2 - 8*k**2 + 9*k**2)*(18*k - 5*k - 5*k). -64*k**4 Expand ((0*s - 3*s + 4*s)*(2 - 5 + 0) + s - s - 3*s)*(2*s**4 - 3*s**4 - 6*s**2 + 2*s**4). -6*s**5 + 36*s**3 Expand 25*s**2 - 25*s**2 - 5*s**5 - 1 + 0 - 2*s**5 + 0 + (0*s**3 + 2*s**5 + 0*s**3)*(-4 + 3 + 3) + 27*s**5 - 14*s**5 - 16*s**5. -6*s**5 - 1 Expand (14 - 4 + 1)*(-41*t - 658 + 658). -451*t Expand 44*k**2 - 25*k**2 - 9*k**2 + (6*k - 3*k - k)*(3*k + 0*k - k) - k**2 + 2*k**2 + 4 - 3. 15*k**2 + 1 Expand i**4 + 2*i**4 - 2*i**4 + (4*i - 4*i + i**2)*(21*i**2 - 39 + 39). 22*i**4 Expand (0 + 1 + 1)*(3*x**2 + 2*x**5 - 3*x**2) - 23*x**5 - x - 7*x**5 + 0*x**5 - 2*x**3. -26*x**5 - 2*x**3 - x Expand (2 - 3 - 1)*(3*i**4 + 2*i**4 - 6*i**4) + (-i**3 + 3*i**3 + 0*i**3)*(-4*i + 6*i + 6*i) + (0*i**2 + 2*i**2 + 2*i**2)*(-3*i**2 + i**2 + i**2). 14*i**4 Expand (-52*g**3 + 52*g**3 - 12*g**4)*(3 - 2 - 3)*(1 - 5 - 2). -144*g**4 Expand (-711*t**3 - 103664*t + 103664*t)*(-t + 0*t - t). 1422*t**4 Expand 0*b**4 + 3*b**4 - 2*b**4 + 2*b**4 - b**4 + b**4 + (b - 2*b + 3*b)*(b**3 + b**3 - b**3) + (3 - 9 - 2)*(-3*b + 3*b**4 + 3*b). -19*b**4 Expand (-8 + 8 - 14*q)*(-8*q + 2*q - 9*q). 210*q**2 Expand 0*c + 2*c**2 + 0*c + (-c - 2 + 2)*(-2*c - 3*c + 3*c) - c**2 + 2*c**2 + 2*c**2 + (0*c - 3*c + 4*c)*(4*c - 7*c + 4*c). 8*c**2 Expand (2*q - 2*q - q)*(36 + 70 - 3)*(4 - 1 - 4). 103*q Expand -n**4 + 4*n**4 + 0*n**4 + (-2*n**3 - 3*n**3 + 4*n**3)*((-2 + 4 - 3)*(5*n - 2*n - n) + n + 3*n - 5*n + 0 + 0 + 2*n). 4*n**4 Expand (-2*f**2 + 3*f**2 - 5*f**2)*(11*f + 15*f + 6*f) + (-5*f**2 + 2*f**2 + 4*f**2)*(1 - 1 + f). -127*f**3 Expand (z**2 - 2 + 2 - 6 + 15*z**2 + 6 + (-2*z + 0*z + 0*z)*(z + 0*z + z))*(-3*z**2 + 7*z**2 - 2*z**2). 24*z**4 Expand (2*r - 2*r - 2*r)*(1 - 2 + 0) - r + 3*r - 3*r + (2 - 4 - 3 + (3 + 5 + 0)*(5 - 1 - 3))*(-1 + 1 - 2*r). -5*r Expand (-24*d - 140*d - 42*d - 4*d - d + 4*d + (-d + 1 - 1)*(-7 + 3 + 2))*(-d**2 + d**2 - d**2). 205*d**3 Expand (7 + 4 + 4)*((0 - 2*q + 0)*(-1 + 4 + 0) - 2 + 2 - 6*q). -180*q Expand -2*p**3 - 2*p**3 + 2*p**3 + (3*p - 2*p + 3*p)*(-51*p + 51*p + 6*p**2) - 2*p**3 - p**3 + p**3. 20*p**3 Expand (2*t**2 - t**2 - 3*t**2 + 4 - t**2 - 4 + (-t + 0 + 0)*(-t - 1 + 1) - t + t**2 + t + 0 + 0 - 2*t**2 + t**2 + 1 - 1)*(-177*t**2 + 177*t**2 - 9*t**3). 18*t**5 Expand (3*c**3 - 2*c**3 - 2*c**3)*(78*c - 73*c - 7 + 4). -5*c**4 + 3*c**3 Expand (2*m**3 + m - m + (-2*m + 0*m + 4*m)*(5*m - 5*m - 3*m**2))*(-4 + 6 + 2)*(2 - 4 - 2). 64*m**3 Expand (-11 + 11 + 4*y)*(12 + 5 + 45). 248*y Expand (-22 + 15 - 27)*(0 + 0 + 4*a). -136*a Expand 0 - b + 0 + (0*b - b + 2*b)*(-3 - 3 - 3) - 4*b + 7*b - 2*b + (2 - 1 - 3)*(-b - b + 0*b). -5*b Expand -4*v**2 - 2*v**2 - 3*v**2 + (-4*v + 2*v**2 + 4*v)*(2 + 2 - 5) - 2 + 2 + 5*v**2. -6*v**2 Expand (j + 1 - 1)*(-j + 2*j**2 + j) - 36 + 27 - 94*j**2 + 8 - 4*j**3. -2*j**3 - 94*j**2 - 1 Expand (-1 + 1 + 2*u)*(u**3 - 4*u**2 + 4*u**2)*(1 + 2 + 1)*(11 - 8 + 25)*(-4*u + 5*u - 2*u). -224*u**5 Expand (2*h - h + 0*h)*(116 + 23 + 4 + 19). 162*h Expand (9 + 9 + 5)*(0 + 0 + f + 3 + 2*f - 3 + (f + 1 - 1)*(-1 + 1 - 1) + (-2 + 0 + 4)*(-f + 5*f - 2*f) - 2*f + f + 0*f). 115*f Expand (-15*n - n + 0*n)*(-2*n**2 + 4*n**2 + 36*n - 33*n). -32*n**3 - 48*n**2 Expand (-8*z + 8*z - 18*z**2)*(-14 + 8*z + 14)*(-3*z - 2*z + z). 576*z**4 Expand (-w**2 + 4*w**2 - w**2)*(-17*w**2 - 8*w**2 - 5*w**2) + 4*w**4 - 2*w**4 - 3*w**4 + (-5*w**2 + 2*w**2 + w**2)*(-1 + 2*w**2 + 1) + 2*w**4 + 2*w**2 - 2*w**2. -63*w**4 Expand (2 - 4 + 4)*(-t + 6*t + t)*(-20*t + 50*t + 2*t**3 - 20*t). 24*t**4 + 120*t**2 Expand (91 - 91 + 30*g)*(-2*g + 4*g + 0*g + (0*g + 3*g - g)*(1 - 6 + 4) + 5*g + 2 - 2). 150*g**2 Expand (-3 + 5 - 4)*(2*j + 0*j + 3*j)*(-4 + 2 + 0) + 4*j - 4*j + 3*j. 23*j Expand (5 - 1 - 6)*(2*t + t**4 - 9*t + 0*t**4). -2*t**4 + 14*t Expand (4 + 4 - 4)*(0*b - 2*b + 15*b**2 - 14*b**2). 4*b**2 - 8*b Expand (-3*d**2 + 6*d + 4*d**2 - 2 - d)*(21*d**2 - 4*d**2 + d**2). 18*d**4 + 90*d**3 - 36*d**2 Expand ((2 - 1 + 0)*(2 + n - 2) + (-3*n - 2*n + 0*n)*(-2 + 1 + 2 + (2 + 1 + 1)*(-1 - 4 + 6)))*(0 - 4 + 2). 48*n Expand (2*b**2 + 12*b**2 + 26*b**2)*(0 + 3*b**3 + 0 + (4*b**2 + 0*b**2 - 6*b**2)*(-3*b - 3*b + 5*b) - 4*b**3 - 2*b**3 + 4*b**3). 120*b**5 Expand ((2*h - 2*h + 2*h)*(4 + 0 - 2) - 109*h - 60 + 60)*(h - 2 + 2). -105*h**2 Expand (-4*h + 0*h - h)*(-h**4 + 0 + 0) - h**3 + 248 - 2*h**5 - 2*h**3 - 254. 3*h**5 - 3*h**3 - 6 Expand (-3*t**4 - t**4 - 1 + 2*t**4)*(-104 - 11*t + 107 + 15*t). -8*t**5 - 6*t**4 - 4*t - 3 Expand (-3 - 3 + 4)*(4 - 3*b**2 - 4)*(1 + 4 - 4)*((2*b - 5*b - 4*b)*(0 + 1 + 0) - 2*b + 3*b + 2*b). -24*b**3 Expand (h**2 + 6 + 8 - 15)*(-9 + h + 0 + h). 2*h**3
{ "pile_set_name": "DM Mathematics" }
2, 161, 140, 83? -c**3 - 3*c**2 + 67*c + 5 What is the t'th term of -45, -100, -165, -246, -349? -t**3 + t**2 - 51*t + 6 What is the s'th term of 963, 1927, 2891? 964*s - 1 What is the h'th term of 24, 114, 264, 474, 744, 1074? 30*h**2 - 6 What is the y'th term of -60, -31, 24, 111, 236, 405, 624? y**3 + 7*y**2 + y - 69 What is the d'th term of 868, 1745, 2622? 877*d - 9 What is the w'th term of 5293, 10588, 15883, 21178, 26473, 31768? 5295*w - 2 What is the f'th term of 11402, 11400, 11398, 11396, 11394? -2*f + 11404 What is the i'th term of 609, 621, 633, 645, 657, 669? 12*i + 597 What is the o'th term of -106, -185, -266, -349, -434, -521? -o**2 - 76*o - 29 What is the o'th term of 6, 14, 44, 108, 218, 386, 624, 944? 2*o**3 - o**2 - 3*o + 8 What is the d'th term of -10, -17, -34, -67, -122, -205, -322? -d**3 + d**2 - 3*d - 7 What is the s'th term of 1573, 1575, 1577? 2*s + 1571 What is the b'th term of -852, -852, -854, -858, -864? -b**2 + 3*b - 854 What is the v'th term of -719, -702, -687, -674, -663? -v**2 + 20*v - 738 What is the q'th term of 15, 56, 101, 150, 203, 260, 321? 2*q**2 + 35*q - 22 What is the y'th term of 41, 99, 195, 329, 501? 19*y**2 + y + 21 What is the y'th term of 16, 11, 2, -11, -28, -49? -2*y**2 + y + 17 What is the n'th term of -38, -88, -138, -188, -238? -50*n + 12 What is the l'th term of -51, -77, -105, -135, -167? -l**2 - 23*l - 27 What is the b'th term of 9, 30, 61, 102, 153, 214? 5*b**2 + 6*b - 2 What is the g'th term of -16, -22, -22, -10, 20, 74, 158? g**3 - 3*g**2 - 4*g - 10 What is the a'th term of 4306, 8598, 12900, 17218, 21558, 25926, 30328, 34770? a**3 - a**2 + 4288*a + 18 What is the m'th term of -1, -26, -55, -82, -101, -106, -91, -50? m**3 - 8*m**2 - 8*m + 14 What is the c'th term of 194, 165, 112, 23, -114, -311? -2*c**3 - 15*c + 211 What is the m'th term of -569, -575, -593, -629, -689? -m**3 + m - 569 What is the x'th term of 41, 105, 203, 353, 573, 881? 3*x**3 - x**2 + 46*x - 7 What is the l'th term of 51215, 51214, 51213, 51212, 51211? -l + 51216 What is the a'th term of -2834, -2832, -2830, -2828, -2826, -2824? 2*a - 2836 What is the c'th term of 4894, 4888, 4880, 4870? -c**2 - 3*c + 4898 What is the m'th term of -607, -1208, -1805, -2398, -2987, -3572, -4153? 2*m**2 - 607*m - 2 What is the z'th term of -46, -22, -4, 2, -10, -46, -112? -z**3 + 3*z**2 + 22*z - 70 What is the i'th term of -766, -764, -762? 2*i - 768 What is the l'th term of 20, 45, 74, 101, 120? -l**3 + 8*l**2 + 8*l + 5 What is the r'th term of -846, -843, -838, -831, -822? r**2 - 847 What is the p'th term of 36813, 36812, 36811, 36810? -p + 36814 What is the s'th term of 52, 111, 164, 211, 252, 287, 316? -3*s**2 + 68*s - 13 What is the y'th term of -1231, -1235, -1239, -1243? -4*y - 1227 What is the v'th term of 24, 75, 156, 267, 408, 579? 15*v**2 + 6*v + 3 What is the s'th term of 7422, 7423, 7424? s + 7421 What is the q'th term of -10, -15, -28, -55, -102, -175, -280? -q**3 + 2*q**2 - 4*q - 7 What is the w'th term of -7, -5, -1, 5, 13? w**2 - w - 7 What is the q'th term of -817, -1632, -2445, -3256? q**2 - 818*q What is the z'th term of -74, -146, -216, -284, -350? z**2 - 75*z What is the i'th term of 8, 38, 86, 152, 236? 9*i**2 + 3*i - 4 What is the m'th term of 1382, 1380, 1378, 1376, 1374? -2*m + 1384 What is the z'th term of 1, 22, 63, 130, 229, 366, 547, 778? z**3 + 4*z**2 + 2*z - 6 What is the b'th term of 73, 145, 217, 289, 361? 72*b + 1 What is the k'th term of 54, 81, 124, 183, 258, 349? 8*k**2 + 3*k + 43 What is the n'th term of -18, -76, -182, -336? -24*n**2 + 14*n - 8 What is the d'th term of -22, -21, -20, -19, -18? d - 23 What is the i'th term of 576, 1163, 1750, 2337, 2924, 3511? 587*i - 11 What is the p'th term of 1280, 1276, 1272, 1268, 1264? -4*p + 1284 What is the l'th term of 32, 11, -38, -127, -268? -2*l**3 - 2*l**2 - l + 37 What is the z'th term of -144, -1133, -3816, -9039, -17648, -30489, -48408? -141*z**3 - z**2 + z - 3 What is the s'th term of 4, 6, 10, 22, 48, 94, 166, 270? s**3 - 5*s**2 + 10*s - 2 What is the g'th term of -794, -790, -784, -776? g**2 + g - 796 What is the r'th term of -2213, -2212, -2211? r - 2214 What is the s'th term of 16, 80, 188, 340? 22*s**2 - 2*s - 4 What is the s'th term of 2, 21, 56, 107, 174? 8*s**2 - 5*s - 1 What is the w'th term of 378, 376, 374? -2*w + 380 What is the a'th term of 191, 373, 555, 737? 182*a + 9 What is the n'th term of 11, 1, -13, -31, -53, -79, -109? -2*n**2 - 4*n + 17 What is the p'th term of -7, -20, -35, -52, -71, -92, -115? -p**2 - 10*p + 4 What is the q'th term of 9, -57, -171, -333, -543? -24*q**2 + 6*q + 27 What is the n'th term of 19, 16, 1, -32, -89, -176, -299? -n**3 + 4*n + 16 What is the p'th term of 103, 150, 183, 196, 183, 138, 55? -p**3 - p**2 + 57*p + 48 What is the t'th term of -5006, -5015, -5038, -5081, -5150, -5251? -t**3 - t**2 + t - 5005 What is the b'th term of 182, 193, 212, 239, 274? 4*b**2 - b + 179 What is the u'th term of -1892, -7564, -17018, -30254, -47272? -1891*u**2 + u - 2 What is the o'th term of -193, -394, -591, -784, -973, -1158, -1339? 2*o**2 - 207*o + 12 What is the g'th term of 59, 74, 105, 158, 239? g**3 + 2*g**2 + 2*g + 54 What is the b'th term of -11, -17, -33, -65, -119, -201, -317, -473? -b**3 + b**2 - 2*b - 9 What is the q'th term of 104, 204, 308, 422, 552, 704? q**3 - 4*q**2 + 105*q + 2 What is the u'th term of 48, 120, 214, 336, 492, 688, 930, 1224? u**3 + 5*u**2 + 50*u - 8 What is the x'th term of -199, -464, -717, -952, -1163, -1344, -1489? x**3 - 272*x + 72 What is the l'th term of 23, 42, 67, 104, 159, 238? l**3 - 3*l**2 + 21*l + 4 What is the r'th term of -7, 2, 23, 62, 125, 218? r**3 + 2*r - 10 What is the x'th term of -8, -7, -8, -11? -x**2 + 4*x - 11 What is the t'th term of -3663, -3671, -3677, -3681? t**2 - 11*t - 3653 What is the n'th term of 27, 57, 87? 30*n - 3 What is the l'th term of 1236, 2483, 3730, 4977? 1247*l - 11 What is the z'th term of -120, -115, -108, -99, -88? z**2 + 2*z - 123 What is the j'th term of 704, 706, 708? 2*j + 702 What is the u'th term of 31375, 31365, 31341, 31297, 31227? -u**3 - u**2 + 31377 What is the j'th term of 564, 1124, 1682, 2238, 2792, 3344, 3894? -j**2 + 563*j + 2 What is the v'th term of -19, -80, -181, -322? -20*v**2 - v + 2 What is the o'th term of 2140, 8577, 19310, 34345, 53688, 77345? o**3 + 2142*o**2 + 4*o - 7 What is the v'th term of 10764, 10765, 10766, 10767, 10768, 10769? v + 10763 What is the t'th term of -15, -27, -39, -51, -63? -12*t - 3 What is the l'th term of 29, 108, 285, 608, 1125, 1884? 8*l**3 + l**2 + 20*l What is the p'th term of 269, 266, 263? -3*p + 272 What is the c'th term of -1, -28, -111, -280, -565? -5*c**3 + 2*c**2 + 2*c What is the x'th term of -967, -1937, -2907, -3877? -970*x + 3 What is the h'th term of -99, -435, -1003, -1809, -2859, -4159, -5715? -h**3 - 110*h**2 + h + 11 What is the q'th term of -349, -1388, -3119, -5542, -8657, -12464? -346*q**2 - q - 2 What is the z'th term of -72, -139, -206, -273, -340, -407? -67*z - 5 What is the l'th term of -1041, -2056, -3073, -4092, -5113, -6136, -7161? -l**2 - 1012*l - 28 What is the b'th term of -101, -202, -305, -410, -517, -626? -b**2 - 98*b - 2 What is the j'th term of -51, -106, -161, -216, -271? -55*j + 4 What is the o'th term of 64, 166, 266, 364, 460? -o**2 + 105*o - 40 What is the r'th term of -138, -273, -412, -555, -702, -853? -2*r**2 - 129*r - 7 What is the q'th term of -8, -2, 14, 46, 100, 182? q**3 - q**2 + 2*q - 10 What is the y'th term of -278, -283, -292, -305, -322? -2*y**2 + y - 277 What is the b'th term of -12, -54, -140, -276, -468? -b**3 - 16*b**2 + 13*b - 8 What is the r'th term of -14, -73, -160, -281, -442, -649? -r**3 - 8*r**2 - 28*r + 23 What is the o'th term of -24, -10, 34, 120, 260, 466, 750? 2*o**3 + 3*o**2 - 9*o - 20 What is the r'th term of 614, 610, 604, 596, 586, 574? -r**2 - r + 616 What is the z'th term of 5, 20, 53, 110, 197? z**3 + 3*z**2 - z + 2 What is the h'th term of -2, 4, 10, 16, 22? 6*h - 8 What is the s'th term of 30, 117, 262, 465? 29*s**2 + 1 What is the x'th term of 302, 250, 198, 146? -52*x + 354 What is the q'th term of -237, -472, -707, -942, -1177, -1412? -235*q - 2 What is the q'th term of -9, -13, -11, 3, 35? q**3 -
{ "pile_set_name": "DM Mathematics" }
v(f) wrt f. -27*f**2 Let k(n) = -2*n**4 - 3*n**2 - n. Let l(b) = 5*b**4 + 7*b**2 + 2*b. Let r = -11 - -4. Let t(f) = r*k(f) - 3*l(f). What is the second derivative of t(i) wrt i? -12*i**2 Let g(n) = n**3 + n**2 - n - 1. Let a(x) = -20*x**3 - 4*x**2 + 2*x - 9. Let m(t) = a(t) + 2*g(t). Differentiate m(p) wrt p. -54*p**2 - 4*p Suppose -i = 4*i. Suppose 0 = 5*f - 20 - i. Find the third derivative of -h**3 + f*h**2 - 3*h**2 + h**2 wrt h. -6 Let z(d) be the second derivative of -8*d**6/15 - 5*d**4/12 - 17*d. Find the third derivative of z(n) wrt n. -384*n Let y(m) be the first derivative of 7*m**6/6 + 7*m**3/3 + 2. What is the third derivative of y(j) wrt j? 420*j**2 Let r(o) be the first derivative of -8*o**3 + 43*o**2/2 - 65. What is the second derivative of r(b) wrt b? -48 Let u(n) be the third derivative of 0 - 1/336*n**8 + 0*n**7 + 0*n**4 - 2*n**2 + 0*n**3 + 0*n**6 + 1/60*n**5 + 0*n. Find the third derivative of u(a) wrt a. -60*a**2 Let o(d) = -9*d**2 + 6*d + 4. Let m(a) = -7*a**2 + 6*a - a**2 - a + 3. Let k(q) = 6*m(q) - 5*o(q). Differentiate k(c) with respect to c. -6*c Find the third derivative of 12*m**2 - 30*m**2 + 13*m**2 + 2*m**3 wrt m. 12 Let l(k) be the first derivative of 0*k + 0*k**5 + 0*k**4 + 0*k**3 + 3/2*k**6 + 5/2*k**2 - 10. What is the second derivative of l(f) wrt f? 180*f**3 Let f be (2 - 0)/(-1) - 6. Let d be 5 + (1 - f/(-2)). Find the third derivative of 4*w**3 - w**3 - 6*w**3 - 3*w**d + 0*w**3 wrt w. -18 Let f(n) be the first derivative of -2*n**7/21 - 7*n**4/12 + 2*n - 5. Let b(d) be the first derivative of f(d). What is the third derivative of b(i) wrt i? -240*i**2 Let g(b) = 4*b - 11. Let s be g(4). What is the second derivative of -3*y + s*y + 4*y + 11*y**2 + 4*y wrt y? 22 Let h(r) be the third derivative of 0*r + 0*r**6 + 0 - 1/2*r**3 + 0*r**4 - 1/70*r**7 + 0*r**5 - 5*r**2. Differentiate h(j) with respect to j. -12*j**3 Let r(c) = -7*c + 2. Let j(d) = -10. Let x(m) = -m - 1. Let y(k) = -j(k) + 8*x(k). Let z(v) = 5*r(v) - 4*y(v). Differentiate z(q) with respect to q. -3 Let v(k) be the second derivative of 1/6*k**4 - 1/6*k**3 + 4*k + 0*k**2 + 0. What is the second derivative of v(c) wrt c? 4 Let z(w) = -5*w**3 - 18*w - 3. Let m(u) = 1. Let j(t) = -3*m(t) - z(t). What is the second derivative of j(g) wrt g? 30*g What is the first derivative of 2 + 2*l - 2*l - 3*l + 5 wrt l? -3 Let p(u) be the first derivative of u**6/180 - u**4/12 + u**3 + 2. Let s(b) be the third derivative of p(b). What is the derivative of s(k) wrt k? 4*k Let h(p) be the third derivative of -9*p**8/112 + p**5/12 + 27*p**2. Find the third derivative of h(t) wrt t. -1620*t**2 Let d = 7 - 6. Suppose 3*m - 3*u - 11 = d, -3 = -2*m - 3*u. What is the second derivative of m*f - f - f - f**2 - 2*f**2 wrt f? -6 Let n(w) = -w**3 + 5*w**2 + 6*w + 4. Let s be n(6). Find the third derivative of -2*x**2 - s*x**2 + x**2 + 2*x**5 wrt x. 120*x**2 Let d(s) be the first derivative of 23*s**4/4 + 10*s**3/3 + 8. What is the third derivative of d(a) wrt a? 138 Let o(q) = q**4 - q**3 + q**2 + q. Let n(w) = -5*w**4 + 3*w**3 - 3*w**2 + 3*w. Let c(f) = n(f) + 3*o(f). What is the second derivative of c(p) wrt p? -24*p**2 Let s(z) be the third derivative of z**9/21 - 13*z**5/30 + 20*z**2. Find the third derivative of s(i) wrt i. 2880*i**3 Let t(g) = 2*g**2 + 3*g - 4. Let z be t(-4). Suppose 5*x = 20, -4*u + 2*u = 2*x - z. What is the second derivative of 3*y**4 - 4*y - y**u + 6*y wrt y? 24*y**2 Let l(m) = -2*m**4 - 22*m**3 - 22*m**2 + 22*m + 20. Let z(y) = y**3 + y**2 - y - 1. Let o(k) = -2*l(k) - 44*z(k). What is the derivative of o(u) wrt u? 16*u**3 Let a(t) = -t + 7. Let r be a(7). Differentiate 2*l + 2*l + r + 0 + 4 with respect to l. 4 Let s(t) = 2*t - 2. Let f(b) = 2*b - 3. Let c = -3 - 3. Let u be 2*c/(-8)*-2. Let w(l) = u*f(l) + 4*s(l). Differentiate w(x) wrt x. 2 What is the second derivative of -10*y**3 - 14*y + 10*y**3 + 11*y**4 - 2*y wrt y? 132*y**2 Let y = -5 + 11. Find the third derivative of -b**2 + b**2 - 3*b**2 + 0*b**y - 3*b**6 wrt b. -360*b**3 Let p(o) = 4*o**4 - 2*o**3 + 2*o**2 - 1. Let z(s) = -s**3 + s**2. Let h(v) = p(v) - 2*z(v). Find the first derivative of h(g) wrt g. 16*g**3 Suppose -3*y - 4 - 5 = 0, 0 = 4*c + 3*y - 19. Let g = 7 - c. What is the first derivative of -12 - m**4 + 0*m**4 + g*m**4 + 9 wrt m? -4*m**3 Let h be (-55)/(-10)*4/(-1). Let m be h/(-6) + (-6)/9. What is the derivative of -2*k**3 + 13 - 10 + m*k**3 wrt k? 3*k**2 Let u(f) = 2*f**4 - 3*f**2 - 3*f. Let a(x) = -x**2 - x - 1. Let i = -15 + 21. Let l(d) = i*a(d) - 2*u(d). What is the first derivative of l(j) wrt j? -16*j**3 Let x(d) be the first derivative of 2*d**7/105 - d**3 - 2*d**2 + 1. Let t(r) be the second derivative of x(r). Differentiate t(y) with respect to y. 16*y**3 Let k = -14 + 17. Let g(s) be the third derivative of 0*s**4 + 1/120*s**6 + 1/60*s**5 + 0 - s**2 + 0*s**k + 0*s. Find the third derivative of g(o) wrt o. 6 Let o(v) = -11*v**3 + 5*v**2 + 35. Let r(k) = 5*k**3 - 2*k**2 - 18. Let i(t) = 2*o(t) + 5*r(t). Find the first derivative of i(w) wrt w. 9*w**2 What is the third derivative of -252 + 252 - 37*m**2 - 15*m**6 wrt m? -1800*m**3 Suppose 2*c + 0*c + 2*x = 18, -2*x + 10 = 0. What is the derivative of -2 + 0 - c + 4*t + 4 wrt t? 4 Suppose -6 = 2*w - 16. Find the third derivative of 0*u**5 - 2*u**2 + u**2 - w*u**2 + 5*u**5 wrt u. 300*u**2 Let t(z) be the first derivative of 13*z**5/5 + 5*z**3 - 9. Find the third derivative of t(w) wrt w. 312*w Let j(x) = -3*x**2 - 2*x - 2. Let g(w) = w**4 + w**2 + w + 1. Let l(v) = -2*g(v) - j(v). What is the third derivative of l(d) wrt d? -48*d Find the third derivative of 2 - 4 + 4*v**3 + v**5 + 51*v**2 + 2*v**5 + 4 wrt v. 180*v**2 + 24 Suppose 4 = 2*t, -r - 2 - 6 = -5*t. Suppose 0 + 12 = 4*g. What is the first derivative of -r*m - 2*m + 4*m + 2*m - g wrt m? 2 Let k = -5/12 + 1/2. Let q(j) be the second derivative of j**2 + j + 0 + 0*j**3 + k*j**4. What is the derivative of q(b) wrt b? 2*b Let u(g) = g**3 + 6*g**2 - g - 2. Let m be u(-6). Differentiate -3 - o**m + 1 - 2*o**4 - 1 with respect to o. -12*o**3 Let n(i) = i. Let s be n(2). What is the second derivative of s*h - 4*h - 6*h**5 - 3*h wrt h? -120*h**3 Let z be (-52)/(-12) + 4/6. What is the second derivative of 2*p**5 - 5*p**5 + p + p**z wrt p? -40*p**3 Let x be (6 + 0)/(-2 + 3). What is the third derivative of x*h**6 - 4*h**2 - 2*h**6 - h**2 wrt h? 480*h**3 Let k(d) = 15*d**4 + 5*d**3 + 11*d**2 + 5. Let x(g) = -38*g**4 - 12*g**3 - 28*g**2 - 12. Let b(l) = -12*k(l) - 5*x(l). Find the third derivative of b(u) wrt u. 240*u Suppose 6*o - 44 = 2*o. Let g be o/3 + (-2)/3. Find the second derivative of 3*j**3 - 2*j - g*j**3 - 2*j**3 wrt j. -12*j Let a(u) be the third derivative of u**8/560 + u**4/4 + 7*u**3/6 - u**2. Let j(i) be the first derivative of a(i). Differentiate j(x) wrt x. 12*x**3 Let r = 15 - 15. Let y(c) be the second derivative of 0 - 2*c - 1/12*c**4 + r*c**3 - 1/2*c**2. What is the derivative of y(x) wrt x? -2*x Let s = 5 + -7. Let d be 4 + 1/(1/s). Differentiate 1 + 3 - w**2 - d wrt w. -2*w Suppose 0 = 7*r - 2*r - 2*j - 21, 0 = -5*r - j + 27. Let g = -2 + r. Find the third derivative of -o**6 + o**2 + o**6 - g*o**6 wrt o. -360*o**3 Find the third derivative of 4*p**2 + 6*p**2 - 5*p**5 - p**2 wrt p. -300*p**2 What is the third derivative of -11057 - 10*x**2 + 11*x**5 + 11057 wrt x? 660*x**2 Let y(i) = 2*i + 2. Let x(u) = -6*u - 6. Let p(d) = -3*x(d) - 10*y(d). Let g be p(-2). Find the third derivative of -a**3 + 2*a**2 - 4*a**2 + 4*a**g wrt a. -6 Let v(o) = 7*o**2 + 2*o + 9. Let m(d) = 70*d**2 + 21*d + 91. Let x(n) = -2*m(n) + 21*v(n). What is the first derivative of x(a) wrt a? 14*a Let w(t) = t**4 - 1. Let u(q) = 2*q**4 + 14*q**2 - 6. Let s(v) = u(v) - 6*w(v). Find the third derivative of s(n) wrt n. -96*n Let k be 1/4 + (-4)/20. Let v(q) be the second derivative of 0*q**3 + 1/2*q**2 + 0 + 0*q**4 - k*q**5 - 2*q. What is the first derivative of v(b) wrt b? -3*b**2 Suppose -3*v - 5*y + 1 = -13, 0 = -4*v + 2*y + 10. What is the first derivative of 0*t**2 + 2*t**2 - 3*t**v - 2*t**2 - 2 wrt t? -9*t**2 What is the third derivative of y**2 + 9*y - 2*y**4 - 10*y**4 - 9*y wrt y? -288*y Let g(h) = -h + 10. Let m be g(6). What is the third derivative of 3*y**2 + m*y**2
{ "pile_set_name": "DM Mathematics" }
without replacement from {z: 9}. Give prob of picking 3 z. 1 Three letters picked without replacement from {c: 3, f: 1, a: 2, h: 1}. Give prob of picking 1 c, 1 f, and 1 h. 3/35 What is prob of picking 3 i when three letters picked without replacement from xxxiixxiixx? 4/165 Two letters picked without replacement from {o: 1, t: 1, m: 1, r: 1, a: 1}. Give prob of picking 1 m and 1 a. 1/10 Calculate prob of picking 2 e, 1 o, and 1 j when four letters picked without replacement from eoejeejjjeeoe. 168/715 Calculate prob of picking 3 e and 1 z when four letters picked without replacement from ezezez. 1/5 Calculate prob of picking 3 l when three letters picked without replacement from {l: 5}. 1 Four letters picked without replacement from exrql. Give prob of picking 1 l, 1 x, 1 q, and 1 e. 1/5 What is prob of picking 3 q when three letters picked without replacement from qqqqqqqqqq? 1 Two letters picked without replacement from iiiooaiiaiai. What is prob of picking 1 i and 1 o? 7/33 Three letters picked without replacement from {j: 6, g: 6}. What is prob of picking 1 g and 2 j? 9/22 Calculate prob of picking 1 u and 2 a when three letters picked without replacement from baabbbobbzaduzaob. 3/340 Four letters picked without replacement from {j: 4, k: 1, t: 2, g: 1, e: 1}. What is prob of picking 2 t, 1 k, and 1 j? 2/63 Three letters picked without replacement from {k: 1, o: 13, c: 1}. Give prob of picking 1 o and 2 c. 0 Calculate prob of picking 1 j and 2 l when three letters picked without replacement from lpppljlplpppc. 3/143 Three letters picked without replacement from nnvvvvmmnmnn. What is prob of picking 2 n and 1 m? 3/22 Two letters picked without replacement from {q: 6, e: 2}. What is prob of picking 2 q? 15/28 What is prob of picking 3 k when three letters picked without replacement from hhkbdkdhbykj? 1/220 Two letters picked without replacement from upppsss. Give prob of picking 1 s and 1 u. 1/7 Two letters picked without replacement from {m: 4, s: 2}. What is prob of picking 2 s? 1/15 Two letters picked without replacement from jrgjegyjaayj. Give prob of picking 1 r and 1 a. 1/33 Two letters picked without replacement from qemjxxtt. Give prob of picking 1 m and 1 e. 1/28 Calculate prob of picking 1 y, 1 v, and 1 m when three letters picked without replacement from mmeovhhy. 1/28 Calculate prob of picking 1 e and 2 n when three letters picked without replacement from {s: 2, n: 11, e: 2}. 22/91 Calculate prob of picking 1 q and 2 o when three letters picked without replacement from oqoomoqqqqqqoqmqo. 27/136 Two letters picked without replacement from ertemmrtrerrr. What is prob of picking 2 m? 1/78 Two letters picked without replacement from {f: 1, k: 3, s: 3, b: 3, m: 2, z: 1}. What is prob of picking 1 k and 1 s? 3/26 Four letters picked without replacement from {s: 7, p: 3}. Give prob of picking 1 p and 3 s. 1/2 Calculate prob of picking 3 l and 1 s when four letters picked without replacement from {l: 12, s: 6}. 22/51 What is prob of picking 3 p when three letters picked without replacement from cccppp? 1/20 Calculate prob of picking 4 m when four letters picked without replacement from mmmmgggmmgm. 7/66 Calculate prob of picking 1 u and 1 t when two letters picked without replacement from uttutuutttutuututut. 10/19 Three letters picked without replacement from nnnnnnn. Give prob of picking 3 n. 1 Two letters picked without replacement from {k: 2, b: 5}. What is prob of picking 1 b and 1 k? 10/21 Four letters picked without replacement from mddymttdmzmzmm. Give prob of picking 2 m, 1 y, and 1 t. 30/1001 Four letters picked without replacement from {n: 3, c: 1, d: 1, k: 1, e: 5, w: 1}. Give prob of picking 4 d. 0 What is prob of picking 1 u, 1 c, 1 w, and 1 t when four letters picked without replacement from {u: 4, t: 1, c: 1, w: 2}? 4/35 Calculate prob of picking 2 u and 1 k when three letters picked without replacement from xxxxuixuupoxuxkuo. 1/68 Calculate prob of picking 2 l when two letters picked without replacement from wwwllwwwlwll. 5/33 Calculate prob of picking 2 d when two letters picked without replacement from dzddaazdzazzaaa. 2/35 Calculate prob of picking 2 k, 1 v, and 1 u when four letters picked without replacement from vqdudvkuvvkkvvqkd. 18/595 Calculate prob of picking 1 c and 2 b when three letters picked without replacement from {c: 9, g: 1, i: 4, x: 2, b: 4}. 9/190 Calculate prob of picking 2 r when two letters picked without replacement from roorrrr. 10/21 Three letters picked without replacement from ddddddddd. Give prob of picking 3 d. 1 Calculate prob of picking 4 o when four letters picked without replacement from {o: 4}. 1 Two letters picked without replacement from zzhahhshhihihsh. What is prob of picking 2 z? 1/105 What is prob of picking 1 r, 1 k, and 1 x when three letters picked without replacement from {r: 4, c: 1, o: 2, x: 2, m: 1, k: 4}? 8/91 Calculate prob of picking 3 l when three letters picked without replacement from ldlldllldllllll. 44/91 Three letters picked without replacement from vvvvmvvvmvmvvvv. What is prob of picking 1 v and 2 m? 36/455 What is prob of picking 1 d and 1 k when two letters picked without replacement from {l: 4, k: 7, d: 3}? 3/13 Calculate prob of picking 2 v when two letters picked without replacement from vxxxxxxxxxxxxxxxxvxx. 1/190 Three letters picked without replacement from kmtkvvkvmlkkkkvmkk. What is prob of picking 1 k, 1 t, and 1 m? 9/272 Two letters picked without replacement from xwwxatjxtjwxxwxjx. 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What is prob of picking 3 z? 286/969 What is prob of picking 2 c when two letters picked without replacement from {c: 2, i: 3, t: 3}? 1/28 Calculate prob of picking 1 z and 2 n when three letters picked without replacement from {s: 1, n: 2, z: 2}. 1/5 Three letters picked without replacement from {i: 2, d: 1, m: 5, h: 5, c: 6}. What is prob of picking 1 h and 2 c? 25/323 What is prob of picking 3 e when three letters picked without replacement from {c: 1, p: 5, u: 1, e: 3, x: 2}? 1/220 Four letters picked without replacement from {s: 1, v: 2, a: 6, p: 2}. Give prob of picking 1 p, 2 a, and 1 v. 2/11 Calculate prob of picking 1 a and 1 c when two letters picked without replacement from bcobcbcbpobaqbccb. 5/136 What is prob o
{ "pile_set_name": "DM Mathematics" }
6 Let z = 2708 + -2694. Solve 11*l - 6*l - 14 = 2*a, 3*l = 4*a + z for l. 2 Suppose -128 = -20*w - 22*w - 22*w. Solve 9*u + 5 = c + 7*u, -w*c = u for c. 1 Suppose 0 = -5*v + t - 2688, -2692 = 5*v - 11*t + 12*t. Let x = v + 542. Solve 5*u + 2*c - 19 = 0, -4*c + 5 = x*u - 3 for u. 5 Suppose 4*n - 4*v = 20, 9*v - 11 = -n + 4*v. Solve s - u = -0 - n, -4 = -u for s. -2 Suppose -26 = -6*s - 8. Suppose 0 = z - s - 2, -4*z + 52 = -4*n. Let h be (-2 + 2)*4/n. Solve h*a = y + 4*a - 19, 4*y = -5*a + 21 for y. -1 Suppose 18 = -3*q + 5*q. Suppose 0 = 26*k - 30*k + 20. Suppose k*l = q*l. Solve 4*o + 4 = l, o = -u - 4*o - 4 for u. 1 Suppose -8 = -554*z + 550*z. Let t be (8/6)/((-4)/(-6)). Let n = 16 - t. Solve 0*r + z*y + n = -4*r, 9 = -2*r + y for r. -4 Let n(x) = -200*x**3 + 2*x**2 - 6*x - 7. Let i be n(-1). Let l = -197 + i. Solve l*q - 31 = -3*j, 4*q + q - 30 = -2*j for j. 5 Let f be (98/(-21))/(38/(-36) + 1). Let b be 1/(2/12 - (-7)/f). Suppose -2*z + b*i - i + 6 = 0, -z + 4*i = 7. Solve -s - 5*q = 27, 5*q + 12 = 2*s - z for s. -2 Suppose -33*l + 55 = -0 - 44. Let t = 2 - -12. Suppose -4*j = p + p - t, -p = 3*j - 8. Solve 0 = p*d - 4*o + 20, 4 + 1 = -l*d + o for d. 0 Suppose 275*c - 382 = 517 + 476. Solve c*i + 2*n = -20, -2*i = -4*n + n + 8 for i. -4 Let y(o) = 7*o - 68. Let l be y(-8). Let x = l + 127. Solve -r + 2*t + 7 + x = 0, 4*r + 5*t = -25 for r. 0 Let m = 73 - 68. Let s(v) = 3*v - 27. Let a be s(13). Solve j + j - 5*i + 13 = 0, -a = 3*j - m*i for j. 1 Let z = 3143 + -3136. Solve 0 = 3*y + 3*f - 6, 2*y = z*f - 5*f + 12 for y. 4 Let s be 43 - -3 - (6 + -2). Suppose 10*j - 58 = s. Solve 2*l - j = 0, 4*l = 3*w + l for w. 5 Suppose 0 = k + b + 2*b + 35, -2*k - 3*b = 70. Let g(n) = 3*n + 123. Let j be g(k). Solve -4 = -4*y, -y - j = -4*m + y for m. 5 Let i(a) = a**3 + 8*a**2 + 5*a - 6. Let q be i(-7). Let p be (q/(-12))/((-4)/(4*-15)). Let o = p - -14. Solve -5*f + 40 = 5*l, 0 = 2*f + f - l - o for f. 3 Let w = -22 + 24. Let c(i) = 13*i. Let l(v) = -v**2 + 5*v - 5. Let k be l(3). Let m be c(k). Solve 4*x - x = g + m, -w*x - 5*g = -3 for x. 4 Let p(q) = 10*q - 60. Let w be p(6). Suppose -3*j + 2*s = -3 + 11, w = 5*j + 5*s - 20. Solve 0 = -3*h - j*h - 4*x, 4*h + x = -13 for h. -4 Suppose -10*m = -13*m + 6. Suppose -m*f + 6 + 3 = -y, 4*f - 13 = y. Solve -3*x = -4*s + 3, 0*x + 5*s + 2 = -f*x for x. -1 Let s = -323 + 60. Let u = -258 - s. Solve -5*m + 3 = 3*r, -m - 4*r - 1 = -u for m. 0 Suppose 6*t - 51 = 41 - 62. Solve 5*k - 21*x = -23*x - 3, 6 = -t*k + x for k. -1 Let i(b) = -7*b + 124. Let u(r) = -29*r + 499. Let t(f) = 9*i(f) - 2*u(f). Let y be t(23). Solve 0 = -5*h - a + 25, -h + y*a + 20 = 3*h for h. 5 Let i = 1501 - 1499. Solve -3*y = 4*w - 7, -i*w - 2*y + 10 = 6 for w. 1 Let c(a) = -30*a - 2490. Let i be c(-83). Solve 0 = 4*r + 5*s + 43, i + 40 = -7*r + 3*s for r. -7 Let s(r) = 4*r + 72. Let w be s(-26). Let g be 8/2 - 160/w. Suppose 18 = n - 3*d, -44 + g = -5*n + 4*d. Solve -5*z - n*u - 26 = 0, -z - 3*u - 10 = -0*z for z. -4 Suppose 50 = 5*d + s, 3*d - 22 - 20 = -3*s. Solve q = -5*i - 27, 26*i - d = 29*i - 3*q for i. -5 Suppose -4*c - 8*l + 21 = 5, 0 = 4*c + l - 9. Let a be ((-15)/(-6) - 3)*0. Solve c*u + 5*y - 8 = a, 0 = -0*u - 2*u - y for u. -1 Let y(m) = -m**2 + 8*m + 49. Let a be y(-4). Solve -4*t - t + 22 = 2*r, -a = -5*r + t for r. 1 Suppose 0 = -5*v + 20, -a - 9*v + 13*v - 11 = 0. Suppose -2 + 6 = 2*x. Solve -3*m + j - 32 = a*j, 4*m - x*j + 6 = 0 for m. -4 Let l(k) = -k**3 - 42*k**2 + 87*k - 59. Let i be l(-44). Let r be (40/25 + i/25)*2. Solve r*w - 28 = 5*v - 3, 0 = 2*v + 3*w - 9 for v. -3 Suppose -27 - 15 = -14*i. Solve -4*g = y - 2*g + i, -5*y = 5*g + 15 for y. -3 Let d = 33 - 21. Let z be (d/(-10))/((-8)/20). Suppose 0 = z*v + 2*v - 25. Solve p - t - v = 0, 3*p + 0*p + 3*t = 3 for p. 3 Suppose 6*d - 7 = 5. Let y be (-2)/6 + (-2)/(-18)*282. Let o = -27 + y. Solve 4*k = -o*m + 8*m - 24, d*m = k + 7 for k. -5 Let q = -4984 - -4992. Solve 268*s + q = -4*n + 264*s, -3*s - 3 = 2*n for n. -3 Suppose 0 = x + 5*w - 16, 0*w = 3*x + w + 8. Let m be (-3)/(-15) + x/20*1. Let z be m/(-1 + -2) - -4. Solve -g + 4*b = 1, 0*b + 14 = z*g + 2*b for g. 3 Let f(t) = 2*t**2 + 4*t - 27. Let s be f(-5). Suppose -5*h = -4*p + 23 + 17, 25 = s*p - 5*h. Solve 2*g = -3*r - p, 3*r = 3*g - 2*r - 25 for g. 0 Let t(c) = -c**2 + 4*c - 4. Let r be t(6). Let n = -4 - r. Let u be ((-18)/(-4))/(((-21)/n)/(-7)). Solve k + 4*d + u = 0, 0*d + 10 = -2*d for k. 2 Suppose -2*z - 5 = -h - 7*z, 2*h - 2*z = -2. Suppose -c + 2 + 2 = h. Suppose -41 - 59 = -c*d. Solve 5*o - 2*x - d = 0, o - x + 3*x = 5 for o. 5 Let p be (-3)/(-7) + (-324)/(-126). Let l(d) = d - 21. Let i be l(6). Let x be i/(-3)*3/5. Solve -6*u + u + p*a - 10 = 0, 0 = x*a for u. -2 Let x = 13428 + -13296. Solve -u = -g, x*g + 4*u = 135*g + 1 for g. 1 Let a(i) = -i**2 + 15*i + 331. Let r be a(-12). Solve -3*k + 4*k - u = r, 1 = 3*k + u for k. 2 Let q = 47 - 44. Let r(o) = 6*o**2 - 16*o - 1. Let f be r(q). Solve 0 = -k - 4*j + f, -3*j = -k - 0*j + 5 for k. 5 Let p(u) = 131*u + 920. Let v be p(-7). Suppose 4*f + 26 - 2 = 0. Let n be (2/(-3))/(2/f). Solve 2*l - 2*k - 28 = v*k, 0 = n*l + 5*k + 12 for l. 4 Suppose -7*x - 4*x = -69*x. Let c(q) = q**3 + 4*q**2 - 18*q - 7. Let f be c(-7). Let r = f + 32. Solve x = -n + 5*o - 13, 3*n + 11 = r*o - 6 for n. -3 Suppose 2*q - 61*b + 16 = -59*b, -24 = 2*q - 3*b. Solve q*o - n = -5*o - 8, 4*n = o - 6 for o. -2 Let p(k) = -226 + 66 + 5*k - 63. Let m be p(45). Solve m*t + 23 = 5*o, -1 = t - 2*o + 8 for t. 1 Suppose 2*f - 77*c + 20 = -72*c, -22 = -2*f - 2*c. Solve -f*y = 3*w + 22, -64*y + 63*y = -2*w - 6 for w. -4 Let p = 4 + -2. Suppose -5*a + a - 24 = -f, -2*a = 2. Suppose -p*c - 6 = -f. Solve -5*z + 10 = -2*s + c*s, -3*s = -15 for z. -3 Let c be ((-4)/(-9))/(20/90). Suppose f + 4*q - 3 + 6 = 0, -4*f = -c*q - 24. Solve 0 = a - 2*b + 6, 0 = -3*a + 4*a - f*b + 21 for a. 4 Let g = 5 + -3. Suppose 7 = 31*z - 86. Solve 0 = -2*j - g*j - 5*k + 36, 0 = -z*j - k + 16 for j. 4 Suppose -5*t + 2*a = -a - 27, -4*a = -4. Suppose -4 - t = -2*u. Solve -2*k + 4*c = -4*k + 8, -2*k = -u*c + 19 for k. -2 Let f be 5*(-13)/585*-63. Solve -4*c = p, f*c = 3*p + 6*c for p. 0 Suppose -30 = -42*i + 104 - 8. Solve -5*r + i*s + 11 = 0, 13*s = -2*r + 11*s + 14 for r. 4 Let g = 184819 - 184814. Let n be 2 + -3 - 12/(-2). Solve r - 3*r - 22 = g*t, -n*r + 5*t = -15 for r. -1 Let t be ((-5)/(40/(-28)))/((-126)/(-36)). Solve t = -3*a - 3*v - 2, 5*a = -4*v - 5 for a. -1 Let c(u) = 3*u**2 - 17*u + 33. Let t be c(2). Suppose -4*s - t*s = -60. Solve -3*x - 5*o = -s, -5*x + 1 + 19 = -5*o for x. 3 Suppose -p + 6*j = 2*j + 5, 4*j - 8 = 0. Suppose -2*a + 4*q - 9 = -21, -4*a - 5*q + 50 = 0. Solve 0 = -2*z - 4*o + a, -p*o - 1 = -2*z + 2 for z. 3 Suppose 4*b = -8, 6*t - 4*t - 2*b - 162 = 0. Let j = 83 - t. Solve -j*k + 0*k = -12, -k - 7 = 2*z for z. -5 Suppose 1338 = 51*f - 108 + 120. Solve -4*p = -2*k - 9*p - f, 3*p - 3 = 5*k for k. -3 Let i(y) = -10*y + 48. Let c(o) = -32*o + 144. Let x(b) = 3*c(b) - 10*i(b). Let r be x(12). Solve r = 3*m - 2*a - 25, 0*m + 3*m = a + 20 for m. 5 Suppose 26 = -4*g + 4*c + 22, 3*g + 4*c - 39 = 0. Solve -x + 2 = -3*y, 4 - 14 = -g*x - 3*y for x. 2 Let a = 122 + -110. Suppose p = -3*b - a, 3*p + b - 17 = -13. Solve -2*v - 4*t = 20, p*t + 7 = v - 8 for v. 0 Suppose 29*b + 66 = -b + 216. Solve 15 = b*i + 5*h, -4*i + 0*h - 2*h + 14 = 0 for i. 4 Let w = -2 + 6. Let v be (-7 + 410/70)/((-4)/14). Solve 4*j - v = 12, 4*s + 3*j = -w for s. -4 Suppose 0 = q - 5*d - 9, 4*q = -6*d + 2*d + 60. Solve 5*x + 5*s - 10 = 9*s, -2*x - 2*s - q = 0 for x. -2 Let s = -80 - -80. Suppose 24 = -27*q + 105. Solve -m + 4 = q*o, 3*o - 5*m - 34 = -s*m for o. 3 Suppose 0 = -3*g - 3*m + 33, 3*g + 9*m = 12*m - 9. Solve 2*u = -j - 5, -5*j + 19 = g for u. -4 Suppose -3*w + 15*w - 36 = 0. Solve 5 = 3*a + 2*b, 4*a - 2*b = w*a + 7 for a. 3 Let x(f) = -3*f**3 - 10*f**2 - 11*f + 1. Let m be x(-2). Solve 4*r - 13 = -3*h, -2*h = -4*h - r + m for h. 3 Let a be (4/(-3) - -2)*((-132)/(-11))/1. Solve 4*i + 8 = 4*n, 5*i + 0 = 4*n - a for i. 0 Let u(c) be the third derivative of c**6/120 + 9*c**5/20 + 25*c**4/24 - 10*c**3/3 - 40*c**2. Let h be u(-26). Solve h = -3*l - w, -3*l + w = -0*w + 6 for l. -2 Let u(t) = -t**3 + 2*t**2 + 17*t - 20. L
{ "pile_set_name": "DM Mathematics" }
f t**5/30 + t**4/6 - t**3 - 11*t**2 + 3. Let r be d(6). Suppose -p = 5*p - r. Solve 6*h = h + p for h. 3 Suppose -44*j + 179 = -43*j. Let p = j + -175. Solve 7*g - 5*g = p for g. 2 Let a(l) be the third derivative of -37*l**6/120 + l**5/30 - 5*l**4/24 + l**3/2 + 31*l**2. Let b be a(1). Let n = -35 - b. Solve -2*p - 6 = -n for p. -2 Let n be (3/(5 + 1))/(2/24). Let q be (-352)/(-20) + n/15. Suppose 196*o - 195*o = q. Solve -5*b - 2 = o for b. -4 Suppose 0 = -4*s + t + 53 + 275, 3*s = t + 244. Solve 44 = s*j - 95*j for j. -4 Let a = 155 - 157. Let x be (a/(-6))/(5/15) - -1. Solve 0 = -x*s - 3*s - 10 for s. -2 Suppose 27*i - 18*i - 162 = 0. Let h(s) = s**2 - 13*s - 87. Let j be h(i). Solve -j*o - 12 = -3 for o. -3 Let x(c) be the second derivative of c**4/6 + 53*c**3/6 - 11*c**2 + 2*c + 3. Let u be x(-27). Solve 0*d = u*d for d. 0 Suppose 1552 = -16*z + 1616. Solve -87 = -z*v - 99 for v. -3 Let m(x) = -x**3 - 20*x**2 - 19*x - 2. Let y be m(-19). Let u be y - ((-8)/2 - -2). Let b be u - -2 - ((-10)/2 + 5). Solve b*r - 6 = 5*r for r. -2 Let m(x) = 31*x + 270. Let j(p) = -47*p - 405. Let f(b) = -5*j(b) - 7*m(b). Let a be f(-7). Solve 0 = -3*q + a for q. 3 Let v(u) = -u**3 - 7*u**2 + 6*u - 4. Let p be v(-6). Suppose -2112 = 1387*c - 1365*c. Let l = p - c. Solve a - l = -3*a for a. 5 Suppose 62*s - 60*s = -5*u - 10, 0 = 3*s - 2*u - 42. Solve 24 = -7*j + s for j. -2 Suppose 28*f - 33*f = -33*f + 616. Solve 6*o = f*o - 96 for o. 6 Let p = 16336 - 16336. Solve p = -51*w + 60*w + 18 for w. -2 Let d(x) = -x**2 + 4*x - 5. Let r be d(2). Let b be (-954)/(-117) - (4/(-26))/r. Solve 2 = 2*s - b for s. 5 Let d = 1686 - 1655. Solve 14*l + d = -11 for l. -3 Let n = 23373 - 23333. Solve 42*l = -n*l + 72*l for l. 0 Let d = 4607 + -4597. Solve 10*n + 30 - d = 0 for n. -2 Let r(t) = 55*t**2 - t - 9. Let u be r(-3). Suppose -3*s = 438 - u. Solve 0 = 5*k - 42 + s for k. 5 Let b be (-1224)/17*(-3 + 3 + -2). Let q be (6/(-8))/((-54)/b). Solve -3*y = -0*y + q*y for y. 0 Let t(w) = w**2 - w + 1. Let p(g) = 9*g**2 + 37*g + 16. Let j(b) = -p(b) + 6*t(b). Let o be j(-14). Let h be ((-4)/(-18))/(3/27). Solve 0*l - h*l + o = 0 for l. 2 Let a(g) = g**3 - 11*g**2 + 18*g + 12. Let s be 6/33 - (-356)/(-22). Let m be (-3)/(-12) + (-140)/s. Let w be a(m). Solve -w - 8 = 5*q for q. -4 Let s(g) be the third derivative of -7*g**3 + 0 + 7/12*g**4 - g**2 - 1/60*g**5 + 0*g. Let m be s(9). Solve -17 - m = 4*h for h. -5 Let f(s) = -s**3 - 8*s - 9. Let x be f(0). Let z be 6/x*-9 - 1*-2. Suppose 24 = 6*a - 0*a. Solve a*r + 12 = z*r for r. 3 Let k be (39 + -1)/1 + 79/((-2449)/(-248)). Solve -k*x + 25 = -113 for x. 3 Let y be (-12)/(-9)*(-7 + -8). Let l = y - -23. Suppose 0 = -r + 3*j + 7, 0*r + 4*r - l*j = 10. Solve w - r = 2*w for w. -1 Let q = -1101 - -1127. Solve -14 = -12*j + q*j for j. -1 Let r = -513 + 520. Suppose -y + 11 = -d + r, 0 = -y - d + 4. Solve -8 = y*p + 12 for p. -5 Let s(p) = p + 11. Let x be s(-3). Suppose 0 = 5*r - x*r + 30. Solve -3*o = 1 - r for o. 3 Let t be (0*(-6)/36)/(25 + -24). Suppose 5*o = -5*c + 20, -5*o + 4 + 7 = -4*c. Solve t = r + c for r. -1 Let p be 4/10 + 348/(-20). Let a = p + 24. Suppose -d - 21 = 3*n, -3*n - 33 = -5*d - 12. Solve d = -2*c + a*c for c. 0 Let z(m) = 17*m**2 + 114*m + 4. Let o be z(-11). Solve 8*r - 759 = -o for r. -6 Suppose -18 = -5*q - 3*k, -2*k - 13 = 2*q - 21. Suppose 3*m + q + 2 = 2*z, 0 = 4*z + 2*m - 18. Solve -l = -z*l - 9 for l. -3 Let k(b) = 22 + 34*b + 29*b + 24*b - 85*b. Let f = -16 + 6. Let q be k(f). Solve 6 = q*z - 5*z for z. -2 Let p(t) = 2*t**3 - 9*t**2 + 16*t - 48. Let w be p(4). Solve w = 2*x + 136 - 150 for x. 7 Suppose 3*n + 14 - 26 = 0. Let z(o) = 2*o**2 + 54*o + 197. Let i be z(-4). Solve -i = 17*c - n*c for c. -1 Suppose -5*q + 5 = -5*b, 31*b - 3 = q + 34*b. Solve x + 3*x + 7*x = q for x. 0 Let x(g) = 7*g - 88. Let s be x(13). Suppose s*n + 21 = 6*n. Solve n*v = -21 - 0 for v. -3 Let l(b) = -285*b - 518. Let z be l(-2). Solve -z = 8*f - 21*f for f. 4 Suppose -33 = -14*v + 3*v. Suppose -3 = -v*x + 6. Suppose -x*z = -6*z + 6. Solve -3 = 3*q - z*q for q. -3 Suppose -21*s = -510 - 582. Solve -53*n + s*n = -4 for n. 4 Let b(s) = s + 1. Let p(f) = 2*f + 80. Suppose 15 = -4*o + 4*r + 3, -o = -5*r + 19. Let n(q) = o*p(q) + b(q). Let c be n(-24). Solve 3*m = -0 + c for m. 3 Let g = 13776 - 13638. Solve -23*r + 69*r - g = 0 for r. 3 Suppose 5*z + 19 - 3 = 2*m, 2*z + 4*m = 32. Solve -12*t + 435 - 399 = z for t. 3 Suppose 17*l = 15*l + 8. Suppose 6*a - 68 = l. Solve -2*r = r + a for r. -4 Let g = -45 + 34. Let f be -7 - g - ((-26)/1 - 0). Suppose -f = -5*m + 5*h, -3*h - 17 = -4*m - 6*h. Solve 3*i + 7 = -m for i. -4 Let u(w) = -w**3 - 2*w**2 - 2*w - 3. Let k be u(-3). Suppose -3*o - 10 = -34. Suppose o*q - k = 2*q. Solve -10 = -q*x + 4*x for x. -5 Let l = -8655 + 8657. Let g = 12 - 8. Suppose 0*w - g*d = -5*w + 14, l*w = -2*d + 20. Solve -3*x + 0*x - w = 0 for x. -2 Suppose -d = -2*p - 196, -3*p = -4*p - 5*d - 120. Let o be ((-9)/(-5) - 1)/((-10)/p). Let y = -6 + 8. Solve -y*a = -0*a + o for a. -4 Let h(b) = 5*b - 52. Let t be h(14). Suppose 11*w = t*w - 28. Solve w*o - 4 = 16 for o. 5 Let a be 2*-5*(-5 - 72/(-16)). Let r be 19/a + 180/150. Solve 6*s = -7 - r for s. -2 Let d(o) = -4*o**3 + 8*o**2 + 5*o - 17. Let i(v) = 5*v**3 - 9*v**2 - 4*v + 18. Let t(a) = -4*d(a) - 3*i(a). Let l be t(6). Solve -l - 1 = -f for f. 3 Let q(u) = -u**3 + 14*u**2 - 13*u + 3. Let p = 33 + -20. Let y be q(p). Let k(n) = 2*n**2 + 15*n - 17. Let r be k(1). Solve -v + y*v = r for v. 0 Let x be (-720)/96*((-4)/(-6) + -2). Suppose 23*j - 442 = x*j. Solve 26 - j = 4*o for o. -2 Let d(v) = 17*v + 922. Let f be d(-53). Solve 9*a + f - 3 = 0 for a. -2 Suppose 0 = 2*z + 3*z - 2*n - 31, 5*z - 28 = n. Solve -z*h = -37*h - 128 for h. -4 Suppose l - 115 = -91. Suppose -340 = -l*v + 7*v. Solve -8*a - v = -52 for a. 4 Suppose 1295 = 34*b + b. Suppose b*c + 200 = 607. Solve -5*r = -c - 14 for r. 5 Let w(q) = -4*q + 30. Let u be w(-9). Suppose 8*h = 5*h + u. Suppose 5*a - h - 18 = -4*p, -3*a = -2*p + 20. Solve 0 = r + r + p for r. -5 Let f be (-44770)/(-666) - (-2)/(-9). Solve 34*s - f = 35 for s. 3 Let n = -25 - -31. Let z(b) = -n - b - 3 + 15 - 7. Let f be z(-3). Solve -5*t + f*t - 3 = 0 for t. -1 Suppose 36 = 4*u - 0*z + 3*z, -8 = 2*z. Suppose -2*p + 3*n + 9 = -8, 3*p + u = -3*n. Solve -t - p + 0 = 0 for t. -1 Suppose 0 = -2*o + 8 + 6. Suppose -5*b + 14*r + 20 = 9*r, 4*b - 15 = 5*r. Suppose -x - q = 4*q + b, 5*q = -10. Solve -o = -x*t + 3 for t. 2 Let l(f) = -f**3 + 6*f**2 + 10*f + 3. Let j be l(7). Suppose -188 = -26*k - 32. Suppose 2*y = j + k. Solve 4*n + y - 3 = 0 for n. -3 Suppose 5*t = 8*t - 3. Suppose 3*h = -3*g + 3, -g + h = -4*g + t. Let n be (-8)/((-40)/15) - g. Solve n*u = -0*u - 3 for u. -1 Let f(a) = 3*a + 20. Suppose 21 = 4*u - 5*y - 128, -u + 2*y = -38. Suppose u*h - 12 = 39*h. Let z be f(h). Solve -2*i = z - 2 for i. -3 Let w = 1 - 71. Let q be (7/2 - 1)*(-168)/w. Suppose 5*y - 4*o = 29 + 5, 2*y = -o + 24. Solve -f = -q*f + y for f. 2 Let c(l) = l**3 + 7*l**2 + 34*l - 206. Let b be c(5). Solve -b*w = -269*w - 15 for w. -3 Let d = -11978 - -12001. Solve d*n - 762 + 670 = 0 for n. 4 Let q(g) = 3*g + 2. Let p be q(-10). Let s = -10 - p. Let y be (-15)/(-10)*(-8)/s*-3. Solve -y*l - l - 6 = 0 for l. -2 Let r(y) = -11*y**2 - 4*y - 2. Let t be r(-4). Let f = 190 + t. Solve 0 = 7*d - f - 0 for d. 4 Suppose 19*r = 15*r. Let z(m) = -7*m**2 + 163*m - 44. Let n be z(23). Solve n*s - s + 2 = r for s. -2 Let a(y) = 2*y**2 - 26*y - 29. Let l be a(12). Let g = l - -59. Solve g*u - 11*u = 15 for u. -3 Suppose 113*v = 116*v - 723. Let a = v + -236. Solve 6*q - a*q - 3 = 0 for q. 3 Let x(g) = 8*g**2 + 4*g + 4. Let c be x(-1). Let o(v) = -v + 8. Let k be o(c). Solve k = 3*b - 11 + 14 for b. -1 Let q be -4*7/56*10. Let a be (20/(-14))/(q + (-102)/(-21)). Solve -a*n = -8*n for n. 0 Let r be (-3)/(46/(-40) + 1). Let k be (0/14)/(19 + -18). Solve 3*w + w - r = k for w. 5 Let s be 72/(-45) - 6/(-10) - -3. Let c be s/10*-3 - (-552)/120. Solve -c*u - 2 = -10 for u. 2 Let s(q) = 2*q**2 + 258*q - 908. Let x be s(-133). Solve -x = 100*i - 74*i for i. -6 Suppose -5*h + 3*m - 404 = 0, h + 254 = -2*h - 4*m. Let r be (h/(-8))/(8/(-32)). Let v = r + 56. Solve 5*y + v = -0 for y. -3
{ "pile_set_name": "DM Mathematics" }
m {c: 1, o: 2, d: 4, p: 4, i: 3}. What is prob of sequence opc? 1/273 Calculate prob of sequence nn when two letters picked without replacement from {i: 4, y: 5, n: 6}. 1/7 Three letters picked without replacement from vyybvvvbdyvdyyvyvy. What is prob of sequence vdb? 7/1224 What is prob of sequence aqb when three letters picked without replacement from {x: 1, b: 1, v: 1, y: 1, q: 1, a: 2}? 1/105 Two letters picked without replacement from dcgc. Give prob of sequence gd. 1/12 Four letters picked without replacement from llluczcllczl. What is prob of sequence cuzc? 1/990 Calculate prob of sequence mr when two letters picked without replacement from rrrrrrrrmrmrrmrr. 13/80 Two letters picked without replacement from {s: 2, d: 1, x: 1, z: 5}. What is prob of sequence dx? 1/72 Three letters picked without replacement from ckcbm. What is prob of sequence kcm? 1/30 What is prob of sequence vii when three letters picked without replacement from {i: 1, p: 7, v: 2}? 0 What is prob of sequence yoy when three letters picked without replacement from {y: 7, o: 1}? 1/8 Three letters picked without replacement from {b: 5, r: 3, u: 1}. Give prob of sequence urr. 1/84 Calculate prob of sequence pi when two letters picked without replacement from {c: 6, p: 2, t: 1, i: 3, d: 2}. 3/91 Three letters picked without replacement from kakakxakxxka. Give prob of sequence kka. 2/33 Calculate prob of sequence gg when two letters picked without replacement from {g: 4, d: 1, c: 4, s: 2}. 6/55 Four letters picked without replacement from bttffibffififbfitii. What is prob of sequence tbfb? 7/5168 Two letters picked without replacement from {h: 1, v: 1, s: 4, r: 3, i: 6}. Give prob of sequence sr. 2/35 Three letters picked without replacement from {n: 2, l: 5, d: 8}. Give prob of sequence ddn. 8/195 Three letters picked without replacement from {n: 2, o: 1, j: 2, x: 1, f: 1, a: 1}. What is prob of sequence afn? 1/168 Calculate prob of sequence ggf when three letters picked without replacement from {g: 2, f: 5}. 1/21 Calculate prob of sequence prrp when four letters picked without replacement from prrppppp. 1/28 Three letters picked without replacement from errfrxfrej. What is prob of sequence fjr? 1/90 Two letters picked without replacement from {c: 11, r: 5}. Give prob of sequence cc. 11/24 Four letters picked without replacement from eeeazttezeza. What is prob of sequence ztta? 1/990 Calculate prob of sequence dqy when three letters picked without replacement from nyqqnnqqqnnydnyyynn. 25/5814 What is prob of sequence cc when two letters picked without replacement from {c: 2, x: 1, a: 11}? 1/91 Calculate prob of sequence zz when two letters picked without replacement from {m: 6, z: 2}. 1/28 What is prob of sequence ff when two letters picked without replacement from {f: 2, x: 1}? 1/3 Three letters picked without replacement from {y: 5, n: 3, o: 3, i: 1, m: 3}. What is prob of sequence mmo? 3/455 Two letters picked without replacement from {z: 5, j: 5, p: 4}. What is prob of sequence zj? 25/182 Three letters picked without replacement from mumumwmwmmmuu. Give prob of sequence mmm. 35/286 Four letters picked without replacement from hhssdjz. Give prob of sequence hdjh. 1/420 Calculate prob of sequence iz when two letters picked without replacement from {z: 7, i: 12}. 14/57 Four letters picked without replacement from {r: 1, o: 2, k: 1, w: 5, c: 7, x: 4}. What is prob of sequence roko? 1/58140 Four letters picked without replacement from aaammmmxamamma. Give prob of sequence aamx. 5/572 Four letters picked without replacement from {n: 7, q: 6, g: 1}. What is prob of sequence gnqq? 5/572 Calculate prob of sequence ggg when three letters picked without replacement from {g: 10}. 1 Calculate prob of sequence jjkk when four letters picked without replacement from kjkkjkkj. 1/14 What is prob of sequence fff when three letters picked without replacement from ufuvfuuuufuufu? 1/91 Calculate prob of sequence ta when two letters picked without replacement from {t: 3, u: 1, a: 1}. 3/20 Three letters picked without replacement from {e: 6, z: 1, p: 6, c: 6}. Give prob of sequence ezp. 2/323 What is prob of sequence zez when three letters picked without replacement from {e: 4, z: 8, k: 4}? 1/15 Calculate prob of sequence ts when two letters picked without replacement from {s: 1, h: 1, t: 2, y: 10}. 1/91 Four letters picked without replacement from qqkqkqqkqkkkkqqkqqk. Give prob of sequence qqqq. 35/646 Two letters picked without replacement from {c: 1, o: 2, b: 3, n: 4, k: 6}. What is prob of sequence cb? 1/80 Calculate prob of sequence vv when two letters picked without replacement from wcvvy. 1/10 What is prob of sequence ik when two letters picked without replacement from djbjbdbjidjkd? 1/156 Three letters picked without replacement from kdqkkkkakdkqdkkkl. Give prob of sequence qal. 1/2040 Calculate prob of sequence ll when two letters picked without replacement from {s: 4, c: 3, l: 9}. 3/10 What is prob of sequence yp when two letters picked without replacement from {y: 2, p: 1}? 1/3 Four letters picked without replacement from tlttttlt. What is prob of sequence tltt? 1/7 Three letters picked without replacement from rhhhhrhrhh. What is prob of sequence hhh? 7/24 Three letters picked without replacement from {r: 1, o: 1, h: 8, g: 3, u: 3, e: 3}. Give prob of sequence hrg. 4/969 Three letters picked without replacement from hwhhwuauahwwyhwh. Give prob of sequence hyh. 1/112 Two letters picked without replacement from {w: 1, u: 1, t: 1, a: 11, s: 3, b: 3}. What is prob of sequence us? 3/380 Two letters picked without replacement from {l: 3, f: 3, r: 3, j: 1, e: 1, w: 2}. Give prob of sequence wr. 1/26 Two letters picked without replacement from {i: 1, c: 4, r: 1, w: 1, n: 4, j: 1}. Give prob of sequence nn. 1/11 What is prob of sequence nh when two letters picked without replacement from hlknnkbkk? 1/36 Calculate prob of sequence wrr when three letters picked without replacement from crrw. 1/12 What is prob of sequence obcb when four letters picked without replacement from {s: 1, b: 2, o: 1, c: 2, y: 1}? 1/210 Three letters picked without replacement from {r: 7, a: 3, z: 2}. Give prob of sequence ara. 7/220 Two letters picked without replacement from ovvvvvvovvvovvvvvvov. Give prob of sequence vv. 12/19 What is prob of sequence yt when two letters picked without replacement from vyyvvyvyyvyvvtyvyvv? 4/171 Four letters picked without replacement from dsds. What is prob of sequence ddss? 1/6 Three letters picked without replacement from {v: 6, q: 1, i: 4, b: 5}. Give prob of sequence vbq. 1/112 Four letters picked without replacement from {u: 4, s: 6}. What is prob of sequence ssus? 2/21 What is prob of sequence rrl when three letters picked without replacement from lrlillr? 4/105 Calculate prob of sequence xtih when four letters picked without replacement from xtxhhxhityhhuuhhyy. 7/12240 Calculate prob of sequence ssus when four letters picked without replacement from ssssssrssssssuss. 1/20 What is prob of sequence vvw when three letters picked without replacement from {w: 3, v: 4}? 6/35 Calculate prob of sequence vbc when three letters picked without replacement from {c: 2, v: 2, b: 2}. 1/15 What is prob of sequence iin when three letters picked without replacement from jijjdnjigj? 1/360 What is prob of sequence to when two letters picked without replacement from {o: 1, t: 11, y: 6}? 11/306 Four letters picked without replacement from {s: 4, f: 1, t: 8}. Give prob of sequence tftt. 14/715 Four letters picked without replacement from {k: 2, q: 8}. Give prob of sequence qkqk. 1/45 Three letters picked without replacement from {r: 3, j: 2, z: 5}. Give prob of sequence zrr. 1/24 Three letters picked without replacement from weweewtgcddgeewgettw. Give prob of sequence etd. 1/190 Three letters picked without replacement from {f: 1, k: 1, p: 3}. Give prob of sequence pfk. 1/20 What is prob of sequence uffn when four letters picked without replacement from {b: 5, u: 1, k: 1, n: 3, f: 3}? 3/2860 Two letters picked without replacement from {f: 2, i: 3, t: 1, s: 5, u: 5}. Give prob of sequence ff. 1/120 What is prob of sequence ett when three letters picked without replacement from rrtfrfkfferfrf
{ "pile_set_name": "DM Mathematics" }
*2 - 2*g**2 - 3*g**2)*(4 + 1 - 3) - 10*g**2 + 29*g**2 - 130*g**2 - g**2 + 2 - 2 in the form r + k*g**2 + l*g and give k. -122 Rearrange (4 - 1 - 1)*(3 - 3 + 2*k)*(-53*k + 71*k - 50*k) to the form a*k**2 + v + c*k and give v. 0 Rearrange g + 7*g**2 - 380*g**3 + 189*g**3 + 189*g**3 + 10 to s + r*g**3 + d*g**2 + p*g and give p. 1 Express 28*b - 96*b - 6*b + 1 - 11 + 7*b as h + l*b and give h. -10 Rearrange 10*s - 19*s - 242*s**2 + 2196*s**2 + 9*s to the form j + x*s + b*s**2 and give b. 1954 Express (6 - 2 - 3)*(v**2 + 2*v**2 - 4*v**2) + 3*v**2 + 4*v**2 - 4*v**2 + 201*v**2 - 2339*v - 55*v**2 + 2341*v as d*v + r + h*v**2 and give h. 148 Express 16*p**3 + p**2 + 0*p**2 - 2 - 2 - 2*p**3 as j*p**2 + s*p**3 + t*p + y and give j. 1 Express (-2*j + 2*j + j)*(-13 - 6 + 9)*(-1 + 0 + 2 + (0 + 5 - 3)*(-1 + 4 - 1)) in the form w + n*j and give n. -50 Express 0*p**3 - 3*p**3 + 4*p**3 + 87*p + 1 - 89*p - 10*p**4 - 3*p**3 + 2*p**2 in the form w*p**3 + d*p**2 + i*p**4 + f + m*p and give d. 2 Rearrange (0*q + 2*q**2 + 0*q)*(4 - 1 - 2) + 0*q**2 - 2*q**2 + q**2 + 0*q**2 + 2*q**2 - q**2 + (2*q + 5*q - 2*q)*(q + 0*q - 8*q) to j + o*q**2 + i*q and give o. -33 Express (-2 + 5 + 2 + (2 + 1 - 2)*(-54 + 57 - 60))*(1 + 2 - 2)*(-3 - 2*k + 3) in the form c + j*k and give j. 104 Express 2*b**4 - 2*b**3 - 31*b**2 + 12*b**3 + 12*b**3 - 20*b**3 in the form y*b**4 + r*b + q*b**2 + c + n*b**3 and give n. 2 Rearrange -16 + 15 - 12*s + 10*s to the form l*s + u and give u. -1 Rearrange (4*r - 1 + 1)*(-107*r + 224*r - 115*r - 405) to the form a + g*r + p*r**2 and give p. 8 Express -3 + 9*k**3 + 2*k**4 + 18*k + k**2 - 39*k + 23*k + 4 as i + l*k + f*k**3 + c*k**4 + o*k**2 and give o. 1 Rearrange -4*v + 2*v + 4*v + (1 - 1 + 2*v)*(0 + 2 + 0) + 4*v - 4*v + v + 460 - 458 + 66*v + 65*v to the form w + d*v and give w. 2 Express (4*d**2 - d**2 - d**2)*(-288*d - 126 + 38 + 44 + 39) as c*d**2 + n*d + r*d**3 + x and give c. -10 Express -2*s**3 + 3*s**3 - 3 + 8 + 0*s**3 - 2*s**4 - s**2 - 10*s - 7 in the form h*s**4 + l + r*s + o*s**3 + y*s**2 and give y. -1 Rearrange 2*g**2 + 0*g**2 + 3*g**2 + (-3*g - g - 2*g)*(-4 + 4 + g) - g**2 + 4*g - 4*g - 5*g**2 - 11*g + 11*g to u*g + n*g**2 + y and give n. -7 Rearrange p + 14 - 14 + (-3 + 3 - 1)*(-3*p - p + 5*p) - 3 - p + 3 + 2*p - 4*p + p + 2*p + 4 + p - 2 to v*p + b and give v. 1 Rearrange (-1 - 3 + 3)*(0 + 4 + 0)*(-30*q**2 - 28 + 28) to n*q**2 + v + c*q and give n. 120 Express 4 + 2*b - 3 - 2 + 20 + b - 20 + (2*b + 3*b - 4*b)*(5 - 2 - 1) + b + 4 - 4 in the form o*b + v and give o. 6 Rearrange -t**2 - 7 - 6*t - 5*t - 2*t + 11*t + 2*t**3 to the form x*t + f*t**2 + i + a*t**3 and give f. -1 Express -8 - 133*j - 119*j + 32*j + 10 as b + v*j and give b. 2 Express 233*s**2 + 2*s**3 - 96*s**2 + 2*s - 2 + 0*s**3 as o*s**2 + f*s + u*s**3 + y and give u. 2 Express (951 + 430 - 184)*(3*n + 1 - 1) as c*n + t and give c. 3591 Express 2*k - 6*k + 0*k + (2 - 2 + 3*k - 2 + 2 + k + (-1 + 1 + k)*(-1 + 2 + 0) + k + 0*k + 0*k - 3*k + 2*k + 2*k)*(-9 - 58 + 7) as g + i*k and give i. -424 Express 2 - 1 + 5*p + 4 - p - p in the form w*p + m and give w. 3 Express 2 + 14 - 15 + 21*h in the form i*h + c and give i. 21 Rearrange (259 + 276 - 563)*(0 + 1 - 3 + 2*w) to the form l + t*w and give l. 56 Rearrange (17 + 24 - 6)*(0*z - 10*z + 0*z) to the form t + c*z and give c. -350 Express -11*j**4 + j**4 - 3*j**3 - 9 + 6*j**4 + j**4 as n*j**2 + i*j**3 + r*j + d + x*j**4 and give d. -9 Rearrange (-11741 + 23433 - 11761)*(0 - 1 - 1)*(r + 3*r - 5*r)*(2*r**2 - 3*r + 3*r) to v*r**2 + o + w*r + z*r**3 and give z. -276 Rearrange -20 - 30*d**3 + 17*d**3 + 19 + d - 28*d**3 to k*d + j*d**3 + y + z*d**2 and give k. 1 Rearrange (-20 - 22 + 17)*(q - 6*q + 4*q) to f*q + g and give g. 0 Rearrange 116*p**3 + 1 + 2314*p**2 - 2316*p**2 - 1 - 19*p**3 to b*p + h*p**3 + u*p**2 + k and give h. 97 Rearrange -1330*t + 93*t - 1009*t + 61*t to the form w + m*t and give m. -2185 Express -10*x**2 - 7*x**2 - 6*x**2 - 22*x**2 in the form c + u*x**2 + v*x and give c. 0 Express 69*v**3 + 16*v**4 + 0*v - 13*v**4 + v - v**2 - 74*v**3 in the form w*v + s + c*v**2 + o*v**3 + t*v**4 and give w. 1 Express (2 - 3 + 0)*(1 - 3 - 7 + (1 + 3 - 2)*(1 - 3 + 1))*(2*g**2 + 0*g**2 - 11*g**2) as f*g + c*g**2 + p and give c. -99 Express 4*w - 5*w + 0*w + (w + 0*w - 2*w)*(1 - 6 + 3) + (-7 - 4 + 2)*(-3*w + 2*w + 6*w) as r + g*w and give g. -44 Express (2*d + 2*d - d)*(42 - 20 - 168*d**2 - 22) - 2 + 2 - 2*d**3 as t + f*d**3 + b*d + i*d**2 and give f. -506 Express 3*c - 14*c**4 - 14*c**4 - 7*c**4 - 7*c**4 + 2*c**3 - 2*c**2 + 55*c**4 in the form y + b*c + a*c**4 + g*c**3 + l*c**2 and give l. -2 Express -1 - 244*v**4 - 16*v**2 - 6*v**2 + 20*v**2 + 2 as r*v**3 + d*v + g*v**4 + k + i*v**2 and give r. 0 Express 2 - 193*b**2 + 100*b**2 + 93*b**2 - 452*b**3 - 4 in the form l*b**2 + o + x*b**3 + m*b and give x. -452 Express 315*g - 160*g + 778*g + 213*g in the form v + m*g and give m. 1146 Rearrange -22 + 7 + 15 + 2057*d to the form i*d + s and give i. 2057 Rearrange -45*n**3 + 3 + 7*n**2 + 46*n**3 - 7 to c + k*n**2 + m*n + z*n**3 and give z. 1 Express 2*g + 2*g**3 - 34*g**2 + 34*g**2 + (-3*g + 0*g - 9*g)*(-g**2 + 3*g**2 + 0*g**2) as h*g**2 + a + y*g + p*g**3 and give y. 2 Express ((3*b - 3*b - 2*b)*(-3*b + 2*b - b) - 570*b**2 + 888*b**2 - 1165*b**2)*(-3 + 3 + 3 - 2*b) as k*b + x + p*b**2 + v*b**3 and give v. 1686 Express (5 - 11 - 5)*(-70*b + 13 - 13)*(-2 - 5*b + 4*b + 0) as r + o*b + j*b**2 and give j. -770 Express -563 + 5*k + 191 + 203 + 183 as z*k + w and give z. 5 Rearrange -2 + 31*d - 268*d - 34*d to j + q*d and give j. -2 Express i - 2*i**3 + 0*i + 0*i**3 - 3*i**3 + i**3 - 3*i**3 + (8*i**2 + 7*i**2 - 7*i**2)*(2*i - 6*i + 3*i) in the form s + m*i + l*i**2 + y*i**3 and give y. -15 Express (-11 - 15 + 6)*(3*d - d + 8*d) + (3*d - 7*d + 3*d)*(3 - 5 + 1) as q*d + a and give q. -199 Rearrange 10*m**2 + 257*m**4 - 130*m**4 + 1 + 2*m - 130*m**4 - 3*m**2 to t + u*m**4 + q*m**3 + c*m + y*m**2 and give y. 7 Express 4*i**2 - 257*i**3 + 4 + 4*i**2 + 256*i**3 - 2*i as r*i**3 + x*i + j*i**2 + w and give x. -2 Rearrange 1 - 103024*m + 102883*m + 1 to f + s*m and give s. -141 Rearrange -49*p + 2915 - 38*p - 2915 + 3*p**3 to the form y*p + s + j*p**3 + o*p**2 and give j. 3 Express (-l - 5*l + 5*l)*(l**2 + 3*l**2 - 2*l**2) + 2*l - 2*l - l**3 - 1279*l**3 - 140792*l + 140792*l as s*l**2 + i + r*l + j*l**3 and give j. -1282 Express 10*h**4 + 2 - 11*h**3 - 11*h**4 + 14*h + 9*h**3 + 4*h**3 as v*h**4 + z + w*h**3 + d*h + f*h**2 and give z. 2 Rearrange (2 - 1 + 2)*(-3 - 2 + 1)*(3*f - 13*f - 4*f) to the form m*f + h and give m. 168 Rearrange -2 + 13 + 2*r**3 - 1130*r**2 + 1131*r**2 to the form g*r + w + k*r**2 + j*r**3 and give j. 2 Rearrange -9 - 2*k**2 - 4*k**2 + 5*k**2 to r*k**2 + g + y*k and give r. -1 Rearrange -197*a**2 - 25*a**2 + 23*a**2 to the form z + w*a**2 + j*a and give w. -199 Rearrange (18*x - 9*x + 6*x)*(-5*x**3 + 5*x**3 - 3*x**3) + x**4 - 2 + 3 + 3*x - 2*x**4 to t*x**3 + h*x**4 + r*x + b*x**2 + v and give b. 0 Rearrange (-3*d - d + 19*d)*(0 - 1 + 0)*(-7 - 10 - 1 + 3 + 2 - 3 + (-4 + 5 - 2)*(-4 - 1 + 3) - 4 + 3 + 0 + 4 - 3 + 1) to h*d + p and give h. 195 Express 624*b**2 + 78 + 263 - 625*b**2 as a*b**2 + t + y*b and give a. -1 Express 2*a**2 - 328 + a + 8*a - 9*a in the form c*a**2 + r*a + y and give c. 2 Rearrange 55*y - 160*y + 51*y + 52*y + 2*y**3 + 7 to the form l*y**2 + q*y + u + k*y**3 and give u. 7 Express -35*n + 16*n + 17*n - 8*n**4 + 2*n**3 as k*n**3 + x*n**4 + t*n + p + j*n**2 and give x. -8 Express -176*g + 4565 - 4565 as q*g + w and give q. -176 Express (-10358 + 10358 - 365*v)*(0 + 0 - v) as d*v + f + x*v**2 and give x. 365 Rearrange (43*u + 25*u - 13*u)*(1 - 1 + 3)*(-2*u + 0*u - 2*u) to the form i*u + s + p*u**2 and give p. -660 Express (-5 + 2 + 5)*((-16 + 1 + 3)*(3 + 1 - 1) + 1 + 1 - 4 - 3 + 3 + 1)*(2 - 2 - q) as u*q + x and give u. 74 Express -y**2 - 2*y**2 + 5*y**2 + (-4*y - y + 0*y)*(2 + 3*y - 2) + 6*y**2 + 0*y**2 - 5*y**2 as t + c*y**2 + z*y and give c. -12 Rearrange 3 + 11 + 6*d**2 - 2*d**2 to i + u*d**2 + y*d and give i. 14 Rearrange 16 - 16 - 313*x to the form i + b*x and give b. -313 Rearrange 7*j**2 - 52 - 10*j**2 + 58 to the form v*j**2 + w + r*j and give w. 6 Express 2*c + 4 - 4 + (2374 - 2374 - 96*c)*(-1 - 2 + 1) as k
{ "pile_set_name": "DM Mathematics" }
minutes in milliseconds? 18047178 What is 0.1412361 nanometers in kilometers? 0.0000000000001412361 What is 5/4 of a tonne in kilograms? 1250 How many micrometers are there in eleven tenths of a centimeter? 11000 What is 74.48826ms in nanoseconds? 74488260 What is thirteen quarters of a century in months? 3900 How many millilitres are there in one fifth of a litre? 200 How many milligrams are there in 1/4 of a gram? 250 What is five quarters of a meter in centimeters? 125 What is 29317.518 seconds in days? 0.339323125 How many millennia are there in 93303.24 decades? 933.0324 How many years are there in 1.387029 months? 0.11558575 How many grams are there in 1/20 of a kilogram? 50 How many minutes are there in one fifth of a hour? 12 How many months are there in 1/24 of a century? 50 How many milligrams are there in 8382.417 kilograms? 8382417000 What is sixty-seven fifths of a century in months? 16080 What is eleven halves of a decade in years? 55 How many seconds are there in 14/9 of a hour? 5600 How many millimeters are there in five eighths of a meter? 625 How many months are there in 7/6 of a millennium? 14000 What is 44/5 of a minute in seconds? 528 How many milligrams are there in three tenths of a gram? 300 What is 13/5 of a litre in millilitres? 2600 What is 48.30571 millimeters in nanometers? 48305710 How many centimeters are there in 779340.1um? 77.93401 What is 70189.902ms in days? 0.000812383125 How many centuries are there in 2703.09 millennia? 27030.9 What is 90.29356kg in micrograms? 90293560000 How many millennia are there in 43.33517 centuries? 4.333517 Convert 13504172.85 seconds to weeks. 22.328328125 What is 21.88828 milligrams in micrograms? 21888.28 How many micrometers are there in 41/2 of a millimeter? 20500 How many millilitres are there in 55/4 of a litre? 13750 How many nanometers are there in 1/20 of a micrometer? 50 How many months are there in twenty-three eighths of a millennium? 34500 How many centimeters are there in 53/4 of a meter? 1325 How many millimeters are there in 3.682384um? 0.003682384 How many millilitres are there in 791.1469 litres? 791146.9 How many micrograms are there in 73/5 of a milligram? 14600 Convert 64163.46 nanometers to centimeters. 0.006416346 Convert 524.1869 centuries to decades. 5241.869 How many litres are there in 1.486367 millilitres? 0.001486367 What is 3/5 of a micrometer in nanometers? 600 What is 45893.23 nanometers in millimeters? 0.04589323 Convert 459.9722ns to seconds. 0.0000004599722 What is 6/5 of a centimeter in micrometers? 12000 How many centimeters are there in 6/25 of a meter? 24 What is 0.9939658ml in litres? 0.0009939658 How many months are there in 32/5 of a century? 7680 How many litres are there in 7.40936ml? 0.00740936 How many months are there in 85.96481 millennia? 1031577.72 What is 11/8 of a centimeter in micrometers? 13750 How many centimeters are there in seven eighths of a kilometer? 87500 What is thirty-two fifths of a millimeter in micrometers? 6400 What is 7.07473cm in kilometers? 0.0000707473 How many millilitres are there in 32/5 of a litre? 6400 How many months are there in 29/5 of a millennium? 69600 How many milliseconds are there in 51073.66 days? 4412764224000 How many micrograms are there in 3/32 of a gram? 93750 How many months are there in 37/5 of a decade? 888 What is 6588.19 litres in millilitres? 6588190 How many years are there in 2269575.6 months? 189131.3 How many nanometers are there in 700914.4 centimeters? 7009144000000 How many microseconds are there in 8.495051 nanoseconds? 0.008495051 How many nanometers are there in 3/50 of a millimeter? 60000 Convert 728506.1 millilitres to litres. 728.5061 How many milligrams are there in 19/4 of a gram? 4750 What is 25/2 of a minute in seconds? 750 How many micrograms are there in 680.815ng? 0.680815 How many millimeters are there in 17/2 of a meter? 8500 How many litres are there in 220.4817 millilitres? 0.2204817 How many nanometers are there in 1.24432m? 1244320000 How many micrograms are there in 3/5 of a milligram? 600 What is 7/2 of a second in milliseconds? 3500 What is 33/5 of a gram in milligrams? 6600 How many micrograms are there in 3/32 of a gram? 93750 How many millilitres are there in 6.379873 litres? 6379.873 How many milligrams are there in ninety-one halves of a gram? 45500 What is 3/50 of a litre in millilitres? 60 What is 59/5 of a centimeter in millimeters? 118 How many months are there in 0.8948888 decades? 107.386656 What is 2.217029 micrograms in milligrams? 0.002217029 Convert 1.96252 centuries to decades. 19.6252 What is 41/2 of a milligram in micrograms? 20500 What is 7/4 of a kilogram in grams? 1750 How many centimeters are there in 5.980247nm? 0.0000005980247 How many days are there in 19.701009us? 0.0000000002280209375 Convert 75620.28 months to millennia. 6.30169 Convert 8377.158 centimeters to meters. 83.77158 What is 56.86984 decades in years? 568.6984 What is 8389.69ml in litres? 8.38969 How many hours are there in 46.997442 milliseconds? 0.000013054845 How many micrometers are there in one quarter of a millimeter? 250 What is 0.2291213 millilitres in litres? 0.0002291213 What is 95.40612ug in grams? 0.00009540612 How many years are there in 11/4 of a millennium? 2750 How many milliseconds are there in 0.7729898 weeks? 467504231.04 What is thirty-two fifths of a second in milliseconds? 6400 Convert 1.616972 meters to micrometers. 1616972 What is 74427.92ml in litres? 74.42792 Convert 629370.7ml to litres. 629.3707 Convert 8.978459 decades to years. 89.78459 What is 9.549241 weeks in milliseconds? 5775380956.8 What is 13.173948 nanoseconds in days? 0.00000000000015247625 What is 0.626739 days in minutes? 902.50416 What is 9263.264mg in nanograms? 9263264000 How many millilitres are there in three fifths of a litre? 600 How many millilitres are there in 3/40 of a litre? 75 Convert 828.052 years to months. 9936.624 How many kilograms are there in 637766.8 micrograms? 0.0006377668 Convert 672410.48 days to weeks. 96058.64 What is fifty-three fifths of a millimeter in micrometers? 10600 What is 19.52936 seconds in nanoseconds? 19529360000 How many minutes are there in thirteen ninths of a week? 14560 How many micrometers are there in fifty-three quarters of a millimeter? 13250 What is 15/4 of a milligram in micrograms? 3750 How many months are there in seventeen halves of a decade? 1020 How many hours are there in twenty-eight thirds of a week? 1568 How many centimeters are there in 27.32052 meters? 2732.052 Convert 979936.1 grams to kilograms. 979.9361 How many meters are there in 87/5 of a kilometer? 17400 Convert 880.5353 millennia to centuries. 8805.353 What is five quarters of a centimeter in micrometers? 12500 What is 6336.58032s in weeks? 0.01047715 How many decades are there in 0.4587581 millennia? 45.87581 What is 9.113067 grams in kilograms? 0.009113067 What is 8/25 of a litre in millilitres? 320 How many kilograms are there in three eighths of a tonne? 375 Convert 15.027891 months to centuries. 0.0125232425 How many minutes are there in one fifth of a hour? 12 What is 72006.5um in meters? 0.0720065 How many litres are there in 8.572976ml? 0.008572976 How many months are there in 486879.7 decades? 58425564 What is 0.4314877 nanoseconds in milliseconds? 0.0000004314877 How many hours are there in eleven eighths of a week? 231 How many millilitres are there in one quarter of a litre? 250 Convert 54956.1 milligrams to kilograms. 0.0549561 How many millilitres are there in 636.7366l? 636736.6 How many years are there in 26/5 of a century? 520 What is 7988.598 nanometers in centimeters? 0.0007988598 How many millennia are there in 2300.9784 months? 0.1917482 What is 1/4 of a century in years? 25 How many grams are there in twenty-nine fifths of a kilogram? 5800 Convert 69214.96 kilometers to centimeters. 6921496000 What is 21/2 of a micrometer in nanometers? 10500 How many millilitres are there in 3/25 of a litre? 120 What is fifteen quarters of a week in hours? 630 What is seven halves of a millimeter in micrometers? 3500 What is nineteen quarters of a litre in millilitres? 4750 What is seventy-nine halves of a litre in millilitres? 39500 What is one
{ "pile_set_name": "DM Mathematics" }
+ (-k + 0*k + 3*k)*(-1 + 3 + 0) + 2*k + 0*k - 3*k. 4*k Expand -t**2 + 0*t**2 - 3*t**2 + 2 - 2 + 2*t**2 + t**2 - 1 + 1 + (-2 + 2*t + 2)*(-3*t + 0*t + 4*t). t**2 Expand (6*n**2 + n**3 - 9*n**2 - 3*n**3)*(-3*n**2 + 2*n**2 + 3*n**2). -4*n**5 - 6*n**4 Expand p - 7*p + 2*p + (5*p + 3*p - 6*p)*(1 - 2 + 0) - p + 0 + 0 - 2*p - 5 + 3*p + 3 + 3*p + 2*p - 4*p. -5*p - 2 Expand 1 + 1 - 1 + 14*z**2 + (-1 + 1 - z)*(-z + 2*z + 0*z). 13*z**2 + 1 Expand (-51 + 3*z + 51)*((-2 + 3 - 2)*(3 + 1 - 3) + 0 + 1 + 1). 3*z Expand (2 + 2*j - 2)*(-6*j - j - 3*j) + 3*j**2 - 5*j - 2*j**2 + 6*j. -19*j**2 + j Expand 3*s**5 + 0*s**5 + 0*s**5 + (0 + 0 - s)*(2*s**4 - 2 + 2) - s**2 + s**2 + 3*s**5. 4*s**5 Expand (0*z**4 - 3*z**4 + 4*z**4)*(0 + 5 - 4 + (-4 + 0 + 2)*(1 + 1 + 0)). -3*z**4 Expand (-4*m**3 + m + 0*m**3 + 0*m**3)*(-3*m + 2*m + 4*m). -12*m**4 + 3*m**2 Expand 4*g**4 - g**4 - 2*g**4 + (56*g**4 + 2*g**4 - 24*g**4)*(0 + 3 - 1). 69*g**4 Expand (-4*j**4 + 0*j**4 + 2*j**4)*(-5 + 5*j + 5)*(-1 + 1 - 2) + j**5 - 2*j**4 + 2*j**4. 21*j**5 Expand (941 - 941 - 47*c)*(0 + 1 + 1). -94*c Expand (0*q + q + q)*(q + 5*q - 4*q) + (1 + 14*q + 3*q**2 - 14*q)*(1 + 1 - 4). -2*q**2 - 2 Expand (2 - 2 - 2)*(2*t - 5*t + 4*t + (-5*t + 2*t + 4*t)*(3 - 5 + 3)). -4*t Expand (0*x**3 + 0*x**3 - x**3)*(-x**2 - x**2 + 3*x**2) - 2 - 5*x**3 + 5*x**3 + 2*x**5. x**5 - 2 Expand 14*m + 3*m - 3*m - 2*m + 3*m + 0*m + (3 - 3 + 2)*(2*m - 3*m + 2*m) - 1 + 2*m + 1. 19*m Expand (-8 + 8 + 17*d**2)*(-5*d + 2*d + d). -34*d**3 Expand (6 - 6 - n**2)*(4 - 4 - 11*n**2 + (7*n**2 - n**2 - 4*n**2)*(-1 - 5 + 4)). 15*n**4 Expand (-2 - 2 - 9*b**2 + 10*b**2)*(-2*b**3 + 2*b**2 - 2*b**2)*(-5 + 2 + 4). -2*b**5 + 8*b**3 Expand (-11 + 28 + 18)*(-3*c + 2*c + 2*c). 35*c Expand (-3*x + 4*x + 0*x + (2 - 2 - 2*x)*(6 + 2 - 4) + (2*x + x - x)*(0 + 4 - 5))*(-3 + 0 + 7). -36*x Expand (13 - 11*r - 13)*(r + 4*r - 6*r + (3*r - r - r)*(2 + 2 - 2) - 2 + 2 + 2*r + 0*r + 4*r - 3*r + 3 + 3*r - 3). -77*r**2 Expand (2 - 2 - 2)*((2 + 2 - 2)*(-1 + 1 - 2*f) + f - 3*f + 5*f). 2*f Expand (34*z**2 + 43*z**2 - 8*z**2 + (0*z - 2*z + 0*z)*(2 - 2 - z))*(0 + 0 + 2*z). 142*z**3 Expand (3 + 0 - 1)*(-17*f - 11 + 11). -34*f Expand (-1 + 1 + 2*p + 3 - 2*p - 3 - p + 0*p + 3*p + (-1 + 2*p + 1)*(2 + 0 - 1) + 9*p + 4*p - 9*p)*(4*p + p - 3*p). 16*p**2 Expand (2*c**2 + 2*c**2 - c**2 - 3)*(-4 - 3 + 2). -15*c**2 + 15 Expand k**3 + 2 - 2 + (4*k + 0*k - 3*k)*(-3*k**2 - 4 + 4) + (k**2 - k**2 - 2*k**2)*(2*k - 1 + 1) + 0*k**3 + 0*k**3 - 2*k**3. -8*k**3 Expand (4*x - 2*x + 0*x)*(-25 - 22 - 6). -106*x Expand -2*k**5 + 0*k**5 + 0*k**5 + (-4*k + 5*k**2 + 4*k)*(-4*k**3 + 0*k**3 + 6*k**3). 8*k**5 Expand (3 + 0 - 1)*(-6 + 6 - 2*a**2 + a + 3). -4*a**2 + 2*a + 6 Expand w**4 + 1 - 1 + (3*w - 2*w - 2*w)*(-w**3 + 2*w**2 - 2*w**2) - 3*w**4 - w**4 + w**4 + 7*w**4 - 3*w**4 - 7*w**4. -4*w**4 Expand (2*s + 0 - 4*s + 4)*(0*s + 2*s + s). -6*s**2 + 12*s Expand (y**3 + 2*y**3 - 4*y**3)*(4*y**2 - 1 - 4*y**2 + 3*y**2). -3*y**5 + y**3 Expand 0*s - s - s + (6*s - 5*s + s)*(-5 + 5 - 2) + s + s - 3 - 3*s. -7*s - 3 Expand (-3*q**2 + 3*q**3 + 3*q**2)*(3*q - 2*q - 4*q). -9*q**4 Expand (-4*h**5 + 12*h**5 + 0*h**5)*(-2 + 4 - 3). -8*h**5 Expand (2*r**4 + r**4 - 2*r**4)*(2 + 2 - 3) - 72*r**2 + r + 72*r**2 - 2*r**4. -r**4 + r Expand (2*l + 2 - 2)*(-3 + 2 - 1) + 0*l + l - 3*l - l - 4*l + 2*l. -9*l Expand (5*d - 4*d - 3*d)*(-3*d**4 + 4*d**4 + d**4) + (1 + 2 - 2)*(-d**5 + 3*d**5 + 0*d**5). -2*d**5 Expand 2*u**4 + 2*u - 2*u + 4*u**4 + u**4 - 3*u**4 + (u - 4*u + 4*u)*(-2 + 2 + u**3). 5*u**4 Expand -4*j + 0*j + 13*j**2 - 14*j**2 + (j + 2*j - 4*j)*(1 - 1 - 2*j). j**2 - 4*j Expand (38*x - 38*x + 9*x**2 + (0*x - 2*x + 3*x)*(-3*x + 7*x - 2*x))*(0 + 0 - 2*x**3). -22*x**5 Expand (0 - 2 + 3)*(-3*y - y - 8*y) - y + 2*y + 0*y. -11*y Expand (-2*t**2 + t**2 + 0*t**2)*(-2 - 2*t + 2)*(-5 - 1 + 0). -12*t**3 Expand (11*i - 3*i + 4*i)*(-i + 1 + 4*i - 2*i)*(3*i**2 + i**2 - 5*i**2). -12*i**4 - 12*i**3 Expand -66*o + 104 - 104 + (o - 3*o + 3*o)*(1 + 3 - 3). -65*o Expand (2 - 4 + 3)*(5 - 5 - 3*s)*(7 - 7 - 2*s). 6*s**2 Expand -4*b**2 - 10*b**2 - 2*b**2 + 0*b**2 + 3*b**2 - 4*b**2 + (4*b**2 - 2*b**2 - 4*b**2)*(-3 - 3 + 4). -13*b**2 Expand (2 + 0*p**2 - p**2 + 3*p**2)*(5*p - 5*p - 2*p**2). -4*p**4 - 4*p**2 Expand (2 - 1 + 0)*(2 - 2 - l**5) + 28*l**5 - 49*l**5 + 28*l**5. 6*l**5 Expand (3*k**3 + 2*k**3 - 3*k**3)*(-57*k - 33*k - 29*k - 2*k). -242*k**4 Expand 4*l**2 + 0*l**2 - 3*l**2 + (4*l - 3*l + l)*(0*l + 0*l - l) - 5*l**2 - l**2 + 4*l**2 - 2*l**2 - l**2 + l**2 + 11*l**2 + 8*l**2 - 6*l**2. 8*l**2 Expand (q**2 + 6*q**2 - 4*q**2)*(5 - 3 - 3). -3*q**2 Expand (27 - 27 + 3*f**2)*(-2 + 2 + 5). 15*f**2 Expand -3*r**3 + 3*r**3 + 2*r**3 + 3*r**3 + 2*r**3 - 4*r**3 + 0*r + 0*r - r**3 + (5*r + 0*r - 3*r)*(6*r**2 - 3*r**2 - 2*r**2) + 5*r**3 - 4*r**3 + 2*r**3. 7*r**3 Expand (-2 - 2 + 3)*(-5*a + a + 2*a) + (-9 - 21 + 19)*(-4*a + a + 2*a) + 1 - 1 - 2*a. 11*a Expand (-3 + l**2 + 3)*(-13 + 2*l + 2 + 3). 2*l**3 - 8*l**2 Expand 2*m**2 - 5*m + 5*m + (-3*m - 2*m + 6*m)*(-2*m + 2*m + m) + 13*m**2 + 0*m**2 - m**2. 15*m**2 Expand (-1 + 2*a + 1)*(-1 + 7 - 2 + (-3 + 3 - 3)*(-6 + 5 + 2)). 2*a Expand (4 - 4 + 2*m**3)*((-2*m**2 - 2*m**2 + 2*m**2)*(-1 + 0 - 1) - 2*m**2 - 4*m + 4*m + 2*m**2 + 0 + 0 - 3*m**2 + 8*m**2 + 6*m**2). 30*m**5 Expand (-6 + 0 - 6*u + 5)*(-2*u + 0*u + 5*u). -18*u**2 - 3*u Expand t**4 + t**4 + t**4 - 2*t**4 + 0*t**2 + 0*t**2 + (t**2 - 2*t**3 - t**2)*(t - 3*t + t) - 3*t**4 + t**4 + t**4 + (0 - 5 + 3)*(-6*t**4 - 7*t**4 + 5*t**4). 18*t**4 Expand (s**2 + 4 - 4)*(0*s - 3*s + s)*(-3 - 6 + 1). 16*s**3 Expand (-2 - 7 + 5 + q)*(1 - 4 + 1)*(2 - 1 - 3). 4*q - 16 Expand (-11*k + 69 - 69)*(-2*k**3 + 2*k**2 - 2*k**2) - k + k - 2*k**4. 20*k**4 Expand (2 - 2 - r)*(-12 + 122 + 15). -125*r Expand (-4*c - 3*c + 2*c)*(c + 3*c**4 - c**2 + 3*c**2 + 3*c**4)*(0 + 1 - 3). 60*c**5 + 20*c**3 + 10*c**2 Expand (2*u**3 - 2*u**3 + 2*u**4)*(u + 3 - 3) + (-9*u + 9*u - 18*u**3)*(u**2 + u**2 + 0*u**2) - 4 + 4 + 2*u**5. -32*u**5 Expand (4 - 3*u - 4)*(-2 + 2*u**2 - 3 + 7). -6*u**3 - 6*u Expand (3*j**2 - 3*j**2 + 3*j**2)*(10 - 10 + j**2). 3*j**4 Expand 9 + 6*u**5 - 9 + (1 + 0 - 3)*(3 - 3 + 2*u**5). 2*u**5 Expand (3 - 3 - 2)*(5*v**2 - 3*v**2 - 4*v**2) + (-v - v + 8*v)*(-3*v + 3*v + v). 10*v**2 Expand (-2*c - 8*c - 12*c)*(-2*c - 1 + 1). 44*c**2 Expand 3*s**2 + 8*s**5 - 7*s**5 - s**2 + (0 + 0 - s**2)*(0 + 0 - 2*s**3) - s**5 + 2*s**5 - 2*s**5. 2*s**5 + 2*s**2 Expand (-6*q + q - q + (2*q + 0 + 0)*(-4 - 1 + 6))*(3 - 2*q**2 - 3). 8*q**3 Expand (-x - 2*x + x)*(4*x + 2*x - 5*x)*((-1 - 2 + 6)*(-2*x**2 + 0*x**2 + 4*x**2) + 2*x**2 + 2*x**2 - 5*x**2). -10*x**4 Expand (2*q**2 - 3*q**2 + 2*q**2)*(3 + 4 + 2)*(3*q**2 - 3*q**2 + 3*q**2). 27*q**4 Expand 15*x**4 - 31 + 31 + 0*x**3 - 3*x**4 + 0*x**3 + (0*x**2 - x**2 - x**2)*(0*x**2 + 4*x**2 - 3*x**2) - 4*x**4 + 2*x**4 + 0*x**4. 8*x**4 Expand 0*r**5 + 0*r**5 - 2*r**5 + (-27*r**4 + 27*r**4 + 3*r**5)*(1 - 6 + 2). -11*r**5 Expand (0 + 0 - 1 + (2 + 2 - 3)*(-3 + 3 + 2) + 4 + 1 - 4)*(-2*n + 0*n - 2*n). -8*n Expand (14 - 9 - 41 + (4 - 6 + 3)*(-1 + 3 - 3))*(-2*h - 3*h + 3*h). 74*h Expand (21 - 8*b - 21 + (2 + 2*b - 2)*(0 - 2 + 3))*(0 + 1 + 0)*(0 - 1 - 1). 12*b Expand -5*a**5 + 6*a**5 + 3*a**5 + (4*a**3 + 4*a**3 - 6*a**3)*(2*a**2 + 3*a - 3*a) - 3*a**5 + a**5 + 4*a**5. 10*a**5 Expand -4*l**2 + l**2 + 5*l**2 + (-4*l + 4*l - 2*l)*(5*l - 2*l - l) - 2*l**2 + 0*l**2 + 3*l**2 - 2*l**2 + 0 + 0 + 4*l**2 + 2 - 2. l**2 Expand (-10 + 10 + 7*x**3)*(0 + x + 5 - 4). 7*x**4 + 7*x**3 Expand (-3*z - z + 6*z)*(2758*z**3 - 2*z - 46*z**4 - 2758*z**3). -92*z**5 - 4*z**2 Expand (2*a**2 + 0*a**2 + 0*a**2)*(-3*a - 2*a**3 + 3*a) + (-5*a**2 + a**2 - 7*a**2)*(-4*a**3 + 0*a**3 + a**3). 29*a**5 Expand (-1 - 1 + 1)*(-5 + 0 + 2)*(-2*t**4 + 3*t**4 + 0*t**4). 3*t**4 Expand (p - 2*p**4 + 5 - 5 - 2*p**2)*(4*p + 11*p - 6*p). -18*p**5 - 18*p**3 + 9*p**2 Expand (5*n**4 - n**4 - 2*n**4)*(-2 + 2 + 2*n) + (7*n + n - 6*n)*(3*n - 3*n + n**4). 6*n**5 Expand (w**2 - w**2 - 5*w**2)*(-7*w**2 + 4 - 4)*(-3*w + w + 3*w). 35*w**5 Expand -3*f**4 + 23*f**3 - 23*f**3 + (3 + 4 - 5)*(5*f**4 - 3*f**4 - 4*f**4). -7*f**4 Expand (0*g + g - 2*g)*(2*g + 0*g + 6 + 0*g). -2*g**2 - 6*g Expand 3*z**5 + 2*z**5 - 7*z**5 + 0*z**5 - z**5 + 4*z**5 + (0*z**3 + z**3 + 0*z**3)*(-5*z**2 + 3*z**2 - 2*z**2). -3*z**5 Expand ((2 - 2 + 2)*(-3 - 2 + 6) -
{ "pile_set_name": "DM Mathematics" }
-5*v + 2*x - 48 = 0, -5*v - 5*x = 292 - 272 for v. -8 Solve -4*b + 4 = -m, m + 4*b + 24 = 28 for m. 0 Solve -5*h - 5956 + 5985 = 2*j, -7 = -3*h + 4*j for h. 5 Solve -1484*h - 7 = -1481*h - 4*m, -4*h - m - 3 = 0 for h. -1 Solve -3*o + 15*t + 60 = -0*t, 2*o - 10 = 4*t for o. -5 Solve -5*u + 20 = 0, 7*l - 25*u = 2*l - 23*u - 43 for l. -7 Solve -5*r + 2*w - 28 = 0, -2650*w + 2653*w = -r + 8 for r. -4 Solve -5*t - 1307 + 1292 = -h, -5*t - 6*t = h + 33 for t. -3 Solve -3*k = -5*a, 3665*a - 3663*a = 3*k - 9 for a. 3 Solve 0 = -5*u - 5, 3*d - 14 = 769*u - 767*u for d. 4 Solve 30 = -v + 5*o, 4*v + 1657 - 1632 = o for v. -5 Solve 55 = -3*s + s + 15*p, 2*s = 4*p - 22 for s. -5 Solve -4*r + 12*s + 42 = 9*s, -19*s = 4*r + 178 for r. 3 Solve j = 3*t + 9, -3*t + 2112 = 3*j + 2097 for t. -1 Solve 2*s - 10 = -4*o, 3*s - 77118*o - 12 = -77121*o for s. 3 Solve -t - 6*x = -55, 4071*t - 24 = 4074*t - 3*x for t. 1 Solve -75*v + 5*j = -77*v + 11, -2*v + 3*j = -19 for v. 8 Solve 5*p - s = 6*p + 2, -68 = 4*p + 14*s for p. 4 Solve -10*q + 6734 - 6779 = 5*p, 25 = -5*q for p. 1 Solve -4*y - 20 + 21 = i, 4*y - i = 7 for y. 1 Solve -3*b + v + 1 = 0, 3*b - 4*v + 1133 - 1119 = 0 for b. 2 Solve -2060*i = -2057*i - 5*z - 8, -2*i + 1 = z for i. 1 Solve 8273*a + 3*i = 8278*a - 47, -5 = -a + 5*i for a. 10 Solve 3*n + 5*g - 98 = -17, n + 9*g = 159 for n. -3 Solve 10 = -2*l - h, 2357*l - 14 = 2359*l + 3*h for l. -4 Solve 4*f - 72 + 76 = 0, 2*g = -4*f - 12 for g. -4 Solve 0 = -4*f + 25*x - 13*x + 72, 8 = -4*f - 4*x for f. 3 Solve 24 - 11 = -4*o - 5*t, -6 = -2*t for o. -7 Solve 179*a - 181*a + 37 = 9*c, a - 4*c + 24 = 0 for a. -4 Solve 98*z + 31 = -13*l + 95*z, 0 = 5*l + 4*z + 29 for l. -1 Solve -46*d - 6 = -43*d, 0 = -5*o + 5*d for o. -2 Solve 3*f - 29*l + 32*l + 3 = 0, -2*f - 2 = -l for f. -1 Solve 4*b + 3*g + 70993 = 71010, -3*b - 3*g = -12 for b. 5 Solve -c + 9 = -a, 8106*a - 8102*a + 2*c - 48 = 0 for a. 5 Solve 15 = -5*n + 5*r, -2*n + r + 1 = 4 for n. 0 Solve 2*c - 4 = -3*x, 3*c + 34*x - 13 = 33*x for c. 5 Solve 0 = -4*n - 4*b - 4, 19*b = -4*n + 22*b - 25 for n. -4 Solve 784*l = -3*q + 788*l - 41, -60 = 5*q - 5*l for q. -7 Solve -5*a = 15, -4*a = p + 10 + 6 for p. -4 Solve -1917 + 1910 = z - f, 0 = -5*z - 4*f - 8 for z. -4 Solve -16*u + k = 21, 225*u + 4*k - 18 = 223*u for u. -1 Solve -236*s + 233*s + 6*g = 0, -12 = -s - 2*g for s. 6 Solve -5*y + 56 - 52 = -2*p, 0 = y + 9*p + 112 for y. -4 Solve 17 = -2*m + 5*z, -40 = 8*m - 13*m - 4*z for m. 4 Solve -155*f - 4*u - 330 = 0, -2016 + 2004 = -4*f + 4*u for f. -2 Solve 9*v - 6*v = 5*p + 37, -2*p - 14 = -v for p. -5 Solve -12 = 3*o, 36*y - 604 = 17*o - 10*o for y. 16 Solve -2*y = -r - 2049 + 2031, 3*y = -2*r - 8 for y. 4 Solve -3 = -2*m + o, -3*o = 9*m - 43 - 8 for m. 4 Solve -1 + 4 = r + 5*a, -146 = -3*a - 146 for r. 3 Solve w = 46*p - 45*p + 2, 0 = 2*w + 5*p - 18 for w. 4 Solve -51*u = -50*u - 5*q - 5, -u + 4 = -4*q for u. 0 Solve 8 = 3*f + 42*g - 40*g, -g = 4*f - 9 for f. 2 Solve 0 = 4*a + 7*v - 35, 10*v - 406 = a - 356 for a. 0 Solve l + 5*x = -23, 4*l - 3374 + 3402 = -4*x for l. -3 Solve -3*x + l = -25, 2*x - 5*l - 127 = -54 for x. 4 Solve 0 = -2*z - r + 7, 63*z - 4*r - 5 = 60*z for z. 3 Solve -5*c - 20216*x = -20215*x + 20, 3*c + 5*x = -56 for c. -2 Solve 3*g + 6 = 0, -3*g - 523 + 514 = -3*u for u. 1 Solve -108*m + 6*i = -103*m + 31, 5*i + 31 = -m for m. -11 Solve 3*a + 215 = 3*z + 200, 0 = -5*z + 7*a + 29 for z. 3 Solve -4*k - 7 = 7*p + 23, 3*k = -3*p - 18 for p. -2 Solve 0*z + z = -2*y + 16, 5*y = -3*z + 46 for y. 2 Solve 2*k - x = 2, 1983*k - 1980*k - 25 = -4*x for k. 3 Solve -31*g + 14 = -3*t - 33*g, 0 = 3*t - 3*g + 9 for t. -4 Solve -86*g + 90*g = 5*l + 2, 0 = -5*g - l - 12 for g. -2 Solve 14*a - 10*a - 8*x = -44, -4*x = -a - 21 for a. -1 Solve -3*t - 24537*n - 25 = -24539*n, 4*t - 3*n = -33 for t. -9 Solve -5*a = -16836*z + 16838*z + 21, 21 = -5*z - 2*a for z. -3 Solve -2087*c + 2083*c = -4*p + 56, 5*c + p + 10 = 0 for c. -4 Solve 2*m = -5*b + 16, -21477*m - 4*b - 73 = -21482*m for m. 13 Solve -3*v = -4*a - 1, -a - 53*v = -49*v + 5 for a. -1 Solve -q - 1 = 186*d - 185*d, -5*d - 41 = -4*q for d. -5 Solve -6*f + 74 = 3*p + p + 70, 3*f + 4*p = 4 for f. 0 Solve 3*z - 44*r = -267, 223*z - 5*r + 35 = 218*z for z. -1 Solve 185*v - m - 12 = 188*v, -v = 2*m - 1 for v. -5 Solve -5*t = -2*l - 2*l - 52, -443*l + 442*l - 2*t = 0 for l. -8 Solve 20*l - 2*r + 6 = 18*l, -2*r = 4*l + 18 for l. -4 Solve -5*r = 15, -p + p = 2*p - 5*r - 11 for p. -2 Solve -7*g + 1 = -3*m, 24*g - 26*g = 4*m - 10 for g. 1 Solve 0 = -5*a + 5*r + 35, 5*a - 4*r - 32263 = -32232 for a. 3 Solve 0 = 4*l - 20, -17 - 9 + 21 = 2*h - 10*l + 41 for h. 2 Solve 0 = 4*r + 4*b + 32, -4*r - 13 - 11 = 2*b for r. -4 Solve -356709*j + 9*r - 45 = -356711*j, -3*j - 25 = -5*r for j. 0 Solve 97*m - 112*m - 84 = 2*u, m - 3*u = -15 for m. -6 Solve h - 3*f = -4, 0 = -4*h + 161*f - 165*f - 16 for h. -4 Solve 28 = 2*q + 37*t - 46*t, -20 = 2*q + 3*t for q. -4 Solve 2*i + 0 = -55*j + 116*j - 58*j - 26, -5*j = 0 for i. -13 Solve 148*x - 153*x = -w - 25, 3*x - 7 = -w for w. -5 Solve 10 = -4*q - 2*x, 50*q - 2*x + 2 = 48*q for q. -2 Solve 0 = -0*v + v - n, 3*n - 6 = -3*v for v. 1 Solve 2*j = 4*i + 10, -153*j - 5*i - 20 = -157*j for j. 5 Solve 5*u + 2*m - 512 = -527, 2*u - 5*m = 23 for u. -1 Solve 0 = -2*p + 17 - 11, -7 = b + 2*p for b. -13 Solve -32 = -3*f - 5*j, 2*j + 437 = 445 for f. 4 Solve 4*m = 5*l + 159, -58*m + 99 = 3*l - 55*m for l. -3 Solve -2*i = -2*h + 6, 247*h + 15 = 249*h - 5*i for h. 0 Solve -2*z + 413*j = 418*j - 10, -4*z + 20 = 4*j for z. 5 Solve 0 = 2*u - 4*s + 54, 9 = -2243*u + 2239*u - s for u. -5 Solve 2*g - 2*f = -12, 24*g = 22*g - 5*f + 9 for g. -3 Solve -4*i = -n + 125 - 106, -3*n + 21 = -3*i for n. 3 Solve 3*c - 2 = 7*m, -11 = 5*c + 9 for m. -2 Solve p = 26*g - 22*g - 16, -4*p - 5*g = -20 for p. 0 Solve -4*s + s = 185*q - 187*q - 10, -2*q - 14 = -s for q. -8 Solve 39*k + 4*a = 44*k + 21, 2*k - 5*a + 5 = 0 for k. -5 Solve -5*y + 7*x = 6*x + 27, -x - 21 = 3*y for y. -6 Solve -7*s = m + 3, -2*s - 35 + 29 = 2*m for m. -3 Solve 142 = -4*u + 30*r, -2*u + 36 - 52 = -4*r for u. 2 Solve 9617*d - 9621*d - 5*v = -12, d = 2*v + 3 for d. 3 Solve -420*j - 5*h - 122 = -344*j, 5*j = 4*h - 34 for j. -2 Solve -5*a - 7 + 2 = l, 3*a + 2*l = -17 for a. 1 Solve -g + 3*g + v = 0, 2*v + 2*v + 16 = 0 for g. 2 Solve 2 = -105*w + 102*w - 5*s, 5*s = -10*w - 30 for w. -4 Solve -2*z = x - 19, 5*x - 650*z = -648*z + 95 for x. 19 Solve 0 = 5*p - 20, 7*k + 152*p = 150*p + 1 for k. -1 Solve 12*q - 9*q = 3*y + 30, -5*q + 2*y + 62 = 0 for q. 14 Solve -d - 3*g - 4 + 16 = 0, -g = -5*d - 20 for d. -3 Solve -5*p + 3*d = 27, 9910*d - 9906*d - 36 = 5*p for p. 0 Solve -11*u + 6 = -7*u - 2*x, -5*u + 5*x = 0 for u. 3 Solve 95 - 151 = 3*d + 4*v, -v - 41 = 3*d for d. -12 Solve -2*g - 13 = 5*x, -16924*x + 16926*x + 4 = -2*g for g. 1 Solve -78*a + 57 = -4*v - 73*a, -15 = 2*v - a for v. -3 Solve -280 + 285 = -a, -4*z + 40 = -4*a for z. 5 Solve -2*s + 2*a + 5086 - 5074 = 0, -4 = s + a for s. 1 Solve -q - 6 = -144*u + 141*u + 2*q, -3*u = -q - 12 for u. 5 Solve -11*k + 3*g - 17 = 6*g, -5*k = 2*g + 9 for k. -1 Solve -8*s = -5*s - 5*j - 101, -21*s - 4*j - 34 = 0 for s. 2 Solve 3*f = 2*t - 6, -46*t + f + 2 = -43*t for t. 0 Solve 8 = 2*z + 14*d, -63 + 65 = -2*z - 4*d for z. -3 Solve 0 = 2*d - 3*l + 2, -5*d - l + 10 = 15 for d. -1 Solve 0 = -17*k + 33*k - 18*k + 4*y - 8, 0 = -3*y + 6 for k. 0 Solve 4*m + 29 = -x, -9*m + 37 = -11*m - 5*x for m. -6 Solve 6*i + 2 = -330*r + 332*r, -25 = 5*i + 3*r for i. -2 Solve -i + 0 = 5*u - 5, 0 = 764*u - 760*u for i. 5 Solve 838*d - 841*d = -3, 4*b - 5*d = -9 for b. -1 Solve 0 = -4*m - i + 9, 3*i = 2540*m - 2536*m - 37 for m. 4 Solve 0 = t - 2*f + 5, 2155*f - 10 = -2*t + 2154*f for t. 3 Solve r + 37*g = 32*g + 10, -g = -5*r - 28 for r. -5 Solve -7*d - 128 = -7*x - 58, d + x = -2*x + 2 for d. -7 Solve 1769*g - 1794*g - q - 104 = 0, 0 = -3*g - 3*q - 24 for g. -4 Solve -7*b + 23 = 2*t - 3, 0 = -5*b + 3*t + 23 for b. 4 Solve -2*q + t - 621 = -610, 7 = -4*q - t for q. -3 Solve o + 4*g - 8 - 24 = 0, 0 = -3*o + 2*g - 2 for o. 4 Solve -s + 17 + 7 = -5*g, 0 = -2*g - 3*s + 4 for g. -4 Solve -4*h = 3*d - 17, -39 + 43 = -4*d + 8*h for d. 3 Solve 3*g = 5*b - 23, -5*b = 5*g - 4*b + 1 for g. -1 Solve 1
{ "pile_set_name": "DM Mathematics" }
65 = 33. Suppose -296 = -g*q + 5*v, -v = 2*q + 11 - 283. Does 69 divide q? True Let l be 20/3 + 4*4/(-24). Suppose 0 = u + l*u. Suppose u = -2*i + n + 39, 0*n - 39 = -3*i - 5*n. Is i a multiple of 6? True Let m = -5 - -8. Suppose 107*n - 114*n = -21. Suppose 0 = -n*d - 12, -m*y + 2*d = -d - 84. Is 22 a factor of y? False Let b = 10 + -33. Let l be 1 + -1 + (154/(-22))/(-7). Is l*b/3*(-18)/6 a multiple of 13? False Suppose -6974*h = -6979*h + 99675. Is h a multiple of 15? True Is (15/6 - 889/14*-145) + 1 a multiple of 151? True Suppose -20*i + 36*i = 18848. Is 19 a factor of i? True Suppose -188782 = -2061*w + 2057*w - 2*z, 5*z + 47212 = w. Is w a multiple of 56? False Let x(q) = q**3 + 23*q**2 - 26*q - 53. Let t(f) = -4*f**3 - 70*f**2 + 78*f + 161. Let d(u) = -2*t(u) - 7*x(u). Does 35 divide d(21)? True Is 9 a factor of 624/572 + 985862/22? False Is 13 a factor of ((-893)/94 - -6)*(60400/(-14))/2? False Suppose 244*t = -2*q + 245*t + 2766, -q + 3*t + 1388 = 0. Does 44 divide q? False Let y(a) be the third derivative of -a**5/30 - a**4/8 - 7*a**3/2 - 21*a**2. Let m be y(-5). Let t = m - -107. Is t a multiple of 5? False Let r(u) = 24*u - 28. Is r(17) a multiple of 115? False Suppose 0 = -3*m - 5*k - 383, 8*k - 11*k = 2*m + 255. Suppose f = 2*l - 94, -4*f + 5*l - 132 = 259. Let r = f - m. Is r a multiple of 11? True Suppose -4*c - 2*q + 28 = 0, 0 = 4*c - 3*q - 10 - 18. Suppose 10*o - 3 = c*o, 0 = -h - 3*o + 6. Does 2 divide h? False Suppose -47240 = -40*b - 5015 - 2425. Is b a multiple of 25? False Let x = 569 + -577. Let u(l) = -l**3 - 3*l**2 - 4*l - 16. Does 7 divide u(x)? True Suppose -5386 = 44*d - 54*d - 116. Is 110 a factor of d? False Let l = 502 + -258. Suppose -7*c - 183 = l. Let d = 112 + c. Is d a multiple of 12? False Suppose -19102 = -2*q + 4*d, 2*d + 7 - 19 = 0. Does 2 divide q? False Let t(b) = -b**2 - b. Let j be t(0). Let s(h) = 290 + h - h**3 + j*h**3 - h + 2*h. Is s(0) a multiple of 18? False Suppose 0 = -108*l - 65*l + 123*l + 317500. Is l a multiple of 4? False Let n(w) = -w**3 - 65*w**2 + 19*w - 939. Is n(-66) a multiple of 3? True Let j = 2156 - 1400. Suppose -8*p + 9*p - j = 0. Is 12 a factor of p? True Suppose -2*m = -3*c + 17, -4*c = -m + c + 9. Is (-6452)/m + -2 + 7/4 a multiple of 47? False Let k(a) = 5*a**2 + 0 + 5*a + a + 2. Let c be 2*(-15)/10*1. Is 12 a factor of k(c)? False Let t(p) = -p**3 + 5*p**2 - 6*p + 11. Let v be t(4). Suppose v*b - x = 1313, -8*x + 10*x + 10 = 0. Is 4 a factor of b? True Let o(x) be the third derivative of -x**6/120 - x**5/5 - 25*x**4/24 + x**3 - x**2 + 24*x. Is 51 a factor of o(-12)? True Let j(v) = 2*v - 46. Let i be j(27). Does 54 divide -1*(-5)/20 - (-2670)/i? False Let r be (8/10)/(-4)*0. Suppose 33*c - 2390 - 3583 = r. Is 4 a factor of c? False Let g(q) = 4633 + q - 4666 - 5*q. Suppose 5*a + 2 = -4*b - 40, -5*a + 2*b - 54 = 0. Is 5 a factor of g(a)? False Let u = -537 + 548. Let k(j) = 7*j**2 + 9*j - 25. Does 35 divide k(u)? False Suppose -w - 6*w = -2128. Is (36/(-16))/((-12)/w) a multiple of 19? True Let u(m) = 9*m - 68. Let d be u(8). Suppose 5*l - d*l = 294. Does 14 divide l? True Let v be 8/(-44) + 13262/(-22). Let w = 734 + v. Is w a multiple of 11? False Is 39 a factor of ((-61)/2)/(30/(-4380))? False Suppose -564*r - 47980 = -584*r. Is r a multiple of 27? False Suppose -2*p = -2*j + 364 - 2682, 4*p + 5*j - 4600 = 0. Is p a multiple of 11? True Let m(s) = -103*s + 7. Let i = -32 + 34. Let j be m(i). Does 22 divide j/(-3) - 1/3? True Suppose 113*h - 4798880 = 370079. Is 15 a factor of h? False Let w(h) = h + 13. Let u be w(-4). Let p be (-1 + 34/4)/(u/12). Suppose 512 = 18*k - p*k. Does 8 divide k? True Suppose -22 = 2*w - 2*k, -2*k = -w - 0*w - 8. Let j(b) = 12*b - 5 - 26 + 57*b - 84*b. Is j(w) a multiple of 21? False Let w(s) = 10772*s**2 + 139*s + 140. Does 27 divide w(-1)? True Let l = -394 - 116. Let p be l*(16/(-10))/4. Does 3 divide (1 - 1/3)/(4/p)? False Let i be 2 + 2 - (1 - 4). Suppose 3*c + i*c = 4840. Let t = c - 296. Does 14 divide t? False Let j(c) = c**2 + 11*c + 6. Let w(p) = 2. Let v(a) = -j(a) + 6*w(a). Does 12 divide v(-9)? True Suppose -3*l + 10*l - 560 = 0. Let p = 230 + l. Is p a multiple of 31? True Let o(a) = a**3 + a**2 - 23*a - 19. Let s be o(-5). Does 16 divide (14/(-5))/(s*4/4960)? False Let v(t) = t**3 + 36*t**2 + 28*t - 8. Does 6 divide v(-26)? True Let w(l) = 2*l + 1. Let g(j) = -11*j - 33. Let p(s) = g(s) - 3*w(s). Is 33 a factor of p(-10)? False Let d(u) = -5*u + 65. Let j be d(13). Suppose j = 13*a - 2*a - 1474. Is 10 a factor of a? False Suppose -4*a - a - 3*z = -46, -4*a - 5*z + 42 = 0. Let k(c) = 3*c**2 + 2*c - 30. Let p be k(a). Let i = p - 90. Does 17 divide i? False Let m(j) = -j**2 + 4*j + 6. Suppose 0 = 3*x - 3*n + 21, -5*x + 1 - 36 = -3*n. Let s be m(x). Let l = 60 - s. Is l a multiple of 43? False Let z be -7*1 - (-19 + 15). Let v = z + 5. Is 14 a factor of 74 + v + 0 + 1? False Let m(b) = b**2 + 22*b + 105. Let r be m(-6). Suppose -11*y + 15580 = r*y. Does 8 divide y? False Suppose -2220596 = -52*t - 292*t + 60*t. Is 7 a factor of t? True Is 3/8 - (91 + -89 + 129549/(-8)) a multiple of 130? False Suppose 100*i - 102*i - 4374 = -5*z, 4*z - 4372 = 2*i. Let s = -1226 - i. Is 66 a factor of s? False Suppose 337*i - 342*i + 4994 = -a, -4*a - 1976 = -2*i. Is i a multiple of 8? True Let a(i) = i**3 - 15*i**2 - i + 19. Let g be a(15). Let t be g/(-28) + (3693/(-21) - -1). Let q = 85 - t. Does 20 divide q? True Let o(r) = -51*r**3 + 39*r**2 + 49*r + 42. Is o(-6) a multiple of 104? True Does 5 divide ((-1)/(-30) + (-4)/(-24))*12085? False Suppose -4*t = 3*q + 4, 11*q - 6*q + 15 = -5*t. Does 9 divide (-4)/(-3) + q + (-2853)/(-27)? True Let t = 9544 + -2105. Is t a multiple of 17? False Let h(t) = 25*t - 87. Let k be h(-36). Is 11 a factor of k/(-6) + ((-7)/(-2) - 3)? True Suppose -64*n + 311564 = -21*n + 30*n. Is n a multiple of 97? True Let d be ((-40)/(-6) + 0)*(-264)/20. Let t = d - -250. Does 27 divide t? True Let f be (9/2 + -4)*4. Suppose 5*o - 334 = -b, 3*b = 2*o + f*b - 128. Let z = o - 45. Is z a multiple of 9? False Let a = 175 + -168. Suppose 4*z = 5*q - 2183, a*q - 2*z - 1311 = 4*q. Is q a multiple of 58? False Let q(n) = n**3 + 13*n**2 - n + 8. Let g be q(-13). Suppose 5*o = 3*w + 91, g = -4*o + 5*o - 2*w. Is 2 a factor of o? False Let p be (-1)/(-2) + 3*1/2. Suppose -80 = -3*a - p*a. Is 16 a factor of 1 + (3 - a)*-3? False Let b = -12 - -6. Let j be (-4)/(-12) - 10/b - -28. Let t = 65 + j. Is t a multiple of 22? False Suppose -4*k + 4170 = 2*a, 2075 = a - 4*k + k. Does 87 divide a? False Let v(o) = o**3 + 7*o**2 - 23*o - 41. Let p be v(-9). Suppose -3*h - 3*i = -894, 353 = h - p*i + 55. Does 9 divide h? False Suppose -105 = 46*n - 11*n. Is 47 a factor of (-47)/1*(1 + -8 + n)? True Suppose 241500 = 292*l - 269*l. Is 100 a factor of l? True Suppose -5*n + 13661 + 4616 = 3*a, 0 = -4*a + n + 24377. Does 22 divide a? True Suppose 1088 = f - 3*i, -i + 6*i - 10 = 0. Let l = 3018 - f. Is l a multiple of 27? False Let b(j) = j**2 + 16*j - 47. Let l be b(-22). Suppose -l*a - 7380 = -95*a. Is a a multiple of 18? True Let t(j) = -2*j**2 - 22*j + 28. Let o be t(-12). Let q(u) = 60*u + 14. Let g be q(o). Suppose 2*n - 18 = g. Is n a multiple of 34? True Suppose 2 = 3*x - 4. Suppose 0 = x*q - 10*s + 5*s - 21, 4*q = 2*s + 18. Does 8 divide q*(-22)/(-3) - -1? False Let h(z) = 3*z + 110. Let l be h(-35). Suppose -165 = -l*c + 4*c. Is 55 a factor of c? True Let y be (-63)/12 - (-2)/8. Let v(i) = -18*i**3 - 6*i**2 - 3*i - 5. Let u be v(y). Is u/25 - -5 - (-2)/(-5) a multiple of 8? False Let v = -90 - -308. Is (-14)/((-112)/24) + v/2 a multiple of 5? False Suppose -2*q + 36 = -2*l - 5*q, -2*l = 4*q + 36. Is 4/l + (-1 - 389/(-9)) a multiple of 11? False Suppose -15*h + 19*h - 3886 = -5*l, 5*h + 5*l - 4860 = 0. Is h a multiple of 9? False Let x be -95 + -4 + 1/((-3)/(-18)). Let o = x + 96. Is ((-8)/o + -1)/(18/(-162)) a multiple of 25? False Suppose 0 = 2*m - o - 5627, 3*m - 9868 = 2*o - 1430. Does 11 divide m? True Suppose -2*i = -x + 5860, 0 = -2*x + 5*i - 0*i + 11714. Is x a multiple of 140? False Does 14 divide (-60)/160 + -17103*21/(-72) + -4? True Let m(d) = 220*d**2 + d + 4. Let t be ((-18)/(-9))/8 - (-9)/(-4). Is m(t) a multiple of 63? Tru
{ "pile_set_name": "DM Mathematics" }
5*o + 128 What is the k'th term of -662, -1318, -1974, -2630? -656*k - 6 What is the c'th term of -5426, -5425, -5424? c - 5427 What is the n'th term of 391, 781, 1157, 1513, 1843, 2141, 2401, 2617? -n**3 - n**2 + 400*n - 7 What is the v'th term of -123, -490, -1105, -1968, -3079, -4438? -124*v**2 + 5*v - 4 What is the g'th term of -214, -426, -638, -850, -1062, -1274? -212*g - 2 What is the o'th term of -9337, -9341, -9355, -9385, -9437, -9517, -9631, -9785? -o**3 + o**2 - 9337 What is the p'th term of -497, -990, -1483, -1976, -2469, -2962? -493*p - 4 What is the h'th term of 28, 35, 52, 85, 140? h**3 - h**2 + 3*h + 25 What is the c'th term of -41, -96, -187, -314, -477, -676, -911? -18*c**2 - c - 22 What is the z'th term of -49, -38, -15, 26, 91? z**3 + 4*z - 54 What is the i'th term of -586, -574, -560, -544, -526, -506, -484? i**2 + 9*i - 596 What is the m'th term of -421, -351, -267, -163, -33, 129? m**3 + m**2 + 60*m - 483 What is the m'th term of 30, 72, 134, 216, 318, 440? 10*m**2 + 12*m + 8 What is the r'th term of 324, 315, 306? -9*r + 333 What is the i'th term of -18, -67, -142, -237, -346, -463, -582, -697? i**3 - 19*i**2 + i - 1 What is the v'th term of -5, -17, -47, -101, -185, -305, -467, -677? -v**3 - 3*v**2 + 4*v - 5 What is the k'th term of 23, 49, 89, 149, 235? k**3 + k**2 + 16*k + 5 What is the s'th term of -147, -294, -441? -147*s What is the i'th term of 2046, 2044, 2032, 2004, 1954, 1876, 1764? -i**3 + i**2 + 2*i + 2044 What is the a'th term of -12657, -12658, -12659, -12660, -12661, -12662? -a - 12656 What is the b'th term of -98, -275, -516, -827, -1214? -b**3 - 26*b**2 - 92*b + 21 What is the x'th term of 9099, 9100, 9101, 9102, 9103? x + 9098 What is the a'th term of 179, 181, 185, 191, 199? a**2 - a + 179 What is the f'th term of 866, 878, 904, 950, 1022, 1126, 1268, 1454? f**3 + f**2 + 2*f + 862 What is the r'th term of -30, -12, 34, 120, 258, 460, 738? 2*r**3 + 2*r**2 - 2*r - 32 What is the t'th term of -29, -42, -41, -26, 3, 46? 7*t**2 - 34*t - 2 What is the k'th term of -27, -49, -71? -22*k - 5 What is the a'th term of -248, -249, -266, -305, -372, -473? -a**3 - 2*a**2 + 12*a - 257 What is the b'th term of -104, -208, -312, -416? -104*b What is the l'th term of -192, -214, -244, -282, -328, -382? -4*l**2 - 10*l - 178 What is the f'th term of 4458, 4463, 4470, 4479, 4490, 4503, 4518? f**2 + 2*f + 4455 What is the b'th term of -2, -7, -16, -29, -46, -67, -92? -2*b**2 + b - 1 What is the b'th term of -204, -816, -1832, -3252, -5076, -7304, -9936? -202*b**2 - 6*b + 4 What is the b'th term of 471, 945, 1419, 1893? 474*b - 3 What is the q'th term of 208, 207, 206, 205? -q + 209 What is the n'th term of -51, -64, -87, -120, -163? -5*n**2 + 2*n - 48 What is the k'th term of 60, 118, 176, 234, 292? 58*k + 2 What is the o'th term of 115, 120, 127, 136, 147, 160? o**2 + 2*o + 112 What is the b'th term of -655, -649, -641, -631, -619, -605? b**2 + 3*b - 659 What is the m'th term of -31, -134, -299, -520, -791, -1106, -1459? m**3 - 37*m**2 + m + 4 What is the f'th term of 12, 52, 162, 378, 736, 1272, 2022? 6*f**3 - f**2 + f + 6 What is the v'th term of -4685, -4693, -4715, -4757, -4825, -4925? -v**3 - v**2 + 2*v - 4685 What is the j'th term of -974, -978, -984, -992, -1002, -1014, -1028? -j**2 - j - 972 What is the n'th term of 129, 33, -75, -201, -351? -n**3 - 89*n + 219 What is the i'th term of -4, 2, 20, 56, 116, 206, 332? i**3 - i - 4 What is the s'th term of 2689, 10756, 24207, 43048, 67285? s**3 + 2686*s**2 + 2*s What is the c'th term of 163, 328, 505, 700, 919, 1168, 1453, 1780? c**3 + 158*c + 4 What is the m'th term of 1201, 1210, 1219, 1228, 1237, 1246? 9*m + 1192 What is the x'th term of 69, 99, 131, 165, 201, 239? x**2 + 27*x + 41 What is the q'th term of 33, 47, 63, 75, 77, 63, 27? -q**3 + 7*q**2 + 27 What is the w'th term of 54, 69, 82, 87, 78, 49? -w**3 + 5*w**2 + 7*w + 43 What is the n'th term of 2968, 2969, 2970, 2971, 2972? n + 2967 What is the o'th term of -7, 9, 57, 155, 321, 573, 929? 3*o**3 - 2*o**2 + o - 9 What is the x'th term of -7, -8, 1, 26, 73, 148, 257? x**3 - x**2 - 5*x - 2 What is the m'th term of -180, -343, -496, -633, -748, -835? m**3 - m**2 - 167*m - 13 What is the g'th term of 746, 744, 740, 734? -g**2 + g + 746 What is the a'th term of -36, -17, 4, 27? a**2 + 16*a - 53 What is the p'th term of 248, 242, 222, 182, 116, 18, -118, -298? -p**3 - p**2 + 4*p + 246 What is the x'th term of 200, 213, 226? 13*x + 187 What is the s'th term of 28, 42, 56? 14*s + 14 What is the j'th term of -45, -39, -29, -15? 2*j**2 - 47 What is the c'th term of -84, -112, -158, -222, -304? -9*c**2 - c - 74 What is the z'th term of 28, 47, 70, 103, 152, 223, 322, 455? z**3 - 4*z**2 + 24*z + 7 What is the t'th term of 6, -26, -58? -32*t + 38 What is the g'th term of 9673, 9672, 9671, 9670? -g + 9674 What is the s'th term of -25, -32, -35, -34, -29, -20? 2*s**2 - 13*s - 14 What is the q'th term of 101, 237, 383, 545, 729, 941, 1187? q**3 - q**2 + 132*q - 31 What is the j'th term of -928, -1866, -2820, -3796, -4800, -5838, -6916, -8040? -j**3 - 2*j**2 - 925*j What is the b'th term of 93, 162, 261, 378, 501? -2*b**3 + 27*b**2 + 2*b + 66 What is the d'th term of 41, 230, 551, 1010, 1613, 2366, 3275, 4346? d**3 + 60*d**2 + 2*d - 22 What is the u'th term of -6, -15, -22, -27, -30? u**2 - 12*u + 5 What is the l'th term of -4, 11, 62, 155, 296? l**3 + 12*l**2 - 28*l + 11 What is the j'th term of 308, 310, 312, 314, 316, 318? 2*j + 306 What is the v'th term of 30, 1, -16, -15, 10, 65, 156? v**3 - 36*v + 65 What is the k'th term of -54, -84, -116, -150, -186? -k**2 - 27*k - 26 What is the t'th term of -91, -93, -97, -103? -t**2 + t - 91 What is the f'th term of -58, -60, -28, 56, 210, 452, 800, 1272? 3*f**3 - f**2 - 20*f - 40 What is the d'th term of 22, 19, 16, 13, 10? -3*d + 25 What is the i'th term of 84, 97, 124, 171, 244, 349? i**3 + i**2 + 3*i + 79 What is the w'th term of -2005, -2003, -2001, -1999, -1997? 2*w - 2007 What is the a'th term of -521, -509, -489, -461, -425, -381, -329? 4*a**2 - 525 What is the l'th term of -1726, -1717, -1708? 9*l - 1735 What is the d'th term of 18795, 18812, 18843, 18894, 18971, 19080, 19227, 19418? d**3 + d**2 + 7*d + 18786 What is the w'th term of 418, 419, 420, 421, 422, 423? w + 417 What is the q'th term of 0, 2, -6, -30, -76? -q**3 + q**2 + 6*q - 6 What is the a'th term of -136, -138, -140, -142? -2*a - 134 What is the h'th term of 9, 111, 213, 315? 102*h - 93 What is the h'th term of 85, 82, 79, 76, 73? -3*h + 88 What is the a'th term of 2, 7, 24, 59, 118, 207? a**3 - 2*a + 3 What is the z'th term of -3852, -3854, -3856, -3858, -3860, -3862? -2*z - 3850 What is the g'th term of -1866, -1873, -1882, -1893? -g**2 - 4*g - 1861 What is the u'th term of -33123, -33125, -33127, -33129, -33131, -33133? -2*u - 33121 What is the j'th term of -1116, -2237, -3358, -4479, -5600? -1121*j + 5 What is the c'th term of 12, 46, 90, 150, 232, 342, 486? c**3 - c**2 + 30*c - 18 What is the f'th term of -170, -175, -190, -221, -274, -355? -f**3 + f**2 - f - 169 What is the y'th term of 4, -10, -40, -92, -172, -286, -440? -y**3 - 2*y**2 - y + 8 What is the r'th term of -29, -81, -133, -185, -237? -52*r + 23 What is the z'th term of -3, 9, 35, 81, 153, 257, 399, 585? z**3 + z**2 + 2*z - 7 What is the y'th term of 12462, 12464, 12466, 12468? 2*y + 12460 What is the p'th term of 35, 67, 95, 119, 139, 155? -2*p**2 + 38*p - 1 What is the r'th term of -332, -333, -336, -341, -348? -r**2 + 2*r - 333 What is the k'th term of -68, -128, -188, -248, -308? -60*k - 8 What is the u'th term of 53, 52, 51, 50, 49, 48? -u + 54 What is the p'th term of -8, -7, -4, 1? p**2 - 2*p - 7 What is the d'th term of 205, 206, 209, 214, 221, 230? d**2 - 2*d + 206 What is the t'th term of -37, -40, -43, -46, -49, -52? -3*t - 34 What is the s'th term of 33, 45, 57, 69? 12*s + 21 What is the f'th term of -92, -88, -96, -122, -172, -252, -368? -f**3 + 11*f - 102 What is the i'th term of -314, -540, -766, -992, -1218, -1444? -226*i - 88 What is the x'th term of 7, 43, 113, 223, 379, 587? x**3 + 11*x**2 - 4*x - 1 What is the h'th term of 19, 34, 47, 58, 67, 74? -h**2 + 18*h + 2 What is the h'th term of 24, 36, 74, 150, 276, 464? 2*h
{ "pile_set_name": "DM Mathematics" }
out -0.3 * -0.538247. 0.1614741 -8.6177916 times -4 34.4711664 Multiply 139741 and -0.0494. -6903.2054 Calculate -372*3803. -1414716 -41.844 times 35.5 -1485.462 Work out -93 * -199991. 18599163 762 * -0.6976 -531.5712 Work out -0.46 * -8.216646. 3.77965716 Calculate 0.3*230272871. 69081861.3 2736.1918 times 0.1 273.61918 1*-511994 -511994 What is 1.3 times 31577691? 41050998.3 Product of 1.658687 and 0.02. 0.03317374 What is 42460581 times -4? -169842324 Calculate 23.30548*-54. -1258.49592 -4 times -1.21535697 4.86142788 What is the product of -0.4 and 1.60121794? -0.640487176 -365.81 times 349.9 -127996.919 174 * 1574280 273924720 What is the product of 2689 and -0.02871? -77.20119 What is the product of 0.2 and 0.03089898? 0.006179796 0*1064215 0 1185*1371.11 1624765.35 2776080*41 113819280 243615 * -6.58 -1602986.7 What is -507 times -3.2103? 1627.6221 11 * 36087 396957 Multiply -0.1347 and 1.228. -0.1654116 5337816 times 0 0 Multiply -8551.793 and -48. 410486.064 What is 1.560689 times 5? 7.803445 Calculate -600.3*-1.9215. 1153.47645 What is the product of -33 and -0.61351? 20.24583 -2 * -656.271 1312.542 Calculate 7113.1*8.6. 61172.66 3933 times -6951 -27338283 What is -194.06 times 292? -56665.52 261 times -2710 -707310 Work out 118 * 11373.1. 1342025.8 Calculate 12499844*0.2. 2499968.8 Multiply -70.5 and -96.5. 6803.25 -2 * 452050.55 -904101.1 -0.3 * 81.635884 -24.4907652 Multiply -26752719 and 18. -481548942 Product of 0.605 and -4830. -2922.15 1 * -3287526 -3287526 Calculate 12926264*-5. -64631320 What is 4 times -97451.14? -389804.56 1.3851961*4 5.5407844 -46363362 times 4 -185453448 -0.52761 * 1071 -565.07031 -9990.69*-7 69934.83 What is the product of 0.04 and -51.94056? -2.0776224 What is the product of -4 and -14.45657? 57.82628 0.064*-6652 -425.728 Calculate -2.63*-9737.7. 25610.151 0.06 times -342904.49 -20574.2694 -2 times -988.17077 1976.34154 -2409924.7 times -0.19 457885.693 Product of 38920 and 8777. 341600840 0.1287 times 0.94442 0.121546854 Work out -2850 * -1.68. 4788 -416986 times 0.1 -41698.6 87436 * -490 -42843640 -0.1 * -0.153302207 0.0153302207 Calculate 77094*76. 5859144 33761.8 * -0.0694 -2343.06892 21 * 5413515 113683815 Product of 0.01032 and -88.6. -0.914352 Multiply -17746 and -16.41. 291211.86 What is the product of 13769.9 and 24? 330477.6 297 times 236068 70112196 -0.046*7.371 -0.339066 Calculate -1*11918800. -11918800 -30020*-217 6514340 What is -2560920 times -1.4? 3585288 Product of -0.1 and -6090951. 609095.1 4*-150.685227 -602.740908 Product of -6.2 and 9460.516. -58655.1992 -400662 * -0.194 77728.428 13 times 9.12644 118.64372 0.3 * -2624565 -787369.5 Multiply -31.121 and -18. 560.178 -63.3 times 7486 -473863.8 -4.328 * 2612 -11304.736 What is the product of -1 and 115626675? -115626675 Work out -39115009 * -0.002. 78230.018 -0.212 times 0.151256 -0.032066272 What is 7650173 times 0.2? 1530034.6 Work out 0.006174 * 0.018. 0.000111132 Work out 29 * -314624. -9124096 Work out 88542 * 209. 18505278 Multiply 24028 and -42.8. -1028398.4 Calculate 193*3164751. 610796943 -12919*5.75 -74284.25 -18484637 * -2 36969274 -3 times 2103397 -6310191 What is the product of 1 and 624078.8? 624078.8 Product of -50 and -1016286. 50814300 4*168924173 675696692 Calculate -2374*-4200. 9970800 What is the product of -344.3778 and 10? -3443.778 Calculate -0.9224*284.35. -262.28444 What is -23685 times -0.512? 12126.72 Calculate -2390434*0.1. -239043.4 -0.0422 * -0.009528 0.0004020816 Multiply 10.6357 and -2. -21.2714 What is the product of 62 and -19562? -1212844 Product of -1635 and -358.61. 586327.35 -229 times -176.91 40512.39 6 * -552910 -3317460 35896 times -204 -7322784 Product of -0.1 and -997.719. 99.7719 Product of 309.4 and 0.370893. 114.7542942 9034.29*-0.317 -2863.86993 62.950251 * 5 314.751255 Multiply 0.00784 and -7.33. -0.0574672 0.08*-0.541763 -0.04334104 19713*6.26 123403.38 What is 1005 times 27217? 27353085 910.47 times 3442 3133837.74 3739*4.333 16201.087 1 * -0.00436329 -0.00436329 0.4 times -1144160 -457664 What is -32255 times -43.42? 1400512.1 Multiply -1.49 and -35.3845. 52.722905 Product of -0.8 and 6504. -5203.2 What is the product of 23.245 and -17.5? -406.7875 Multiply 38 and -39630.02. -1505940.76 What is -0.1014 times -6915? 701.181 What is 39679102 times -5? -198395510 -0.074*-9387314 694661.236 Work out -132403 * 2.9. -383968.7 Work out -17 * -0.46687. 7.93679 What is the product of 68481500 and -0.3? -20544450 714*387.74 276846.36 1228 times -1524.6 -1872208.8 0.0914 * 0.0594 0.00542916 Multiply -4189.6623 and 0. 0 Calculate -81621*7415. -605219715 What is the product of 11.9 and 1785810? 21251139 What is the product of -0.06545 and 0.6209? -0.040637905 230578 * -75 -17293350 What is -121731417 times 0.2? -24346283.4 Product of -1.7 and 768833.9. -1307017.63 What is -28.1217 times -1? 28.1217 Work out 408251383 * 1. 408251383 Multiply 0.956459 and 7. 6.695213 Product of 37 and -0.0798. -2.9526 Work out -6346813.4 * 0.3. -1904044.02 What is the product of 3947148 and -5? -19735740 Multiply -2339.7957 and -4. 9359.1828 -15854.03142*-5 79270.1571 -0.129 * 39222.29 -5059.67541 269233 times -6.55 -1763476.15 Calculate 171.187*0.22. 37.66114 -123120.3*-70 8618421 Work out 2856 * 13134. 37510704 -591*-22934 13553994 29.664 * 155.8 4621.6512 What is the product of 143 and -267243? -38215749 What is the product of -5 and 428282.39? -2141411.95 Product of 1423 and -5903. -8399969 Multiply 23106 and 32.8. 757876.8 454288 * 0.1 45428.8 -0.1 times -251591538 25159153.8 What is the product of 0.5 and 0.0623825? 0.03119125 Calculate -1271017*266. -338090522 -249.93304 * 8 -1999.46432 Product of -368577 and 279. -102832983 -472968 times 0.089 -42094.152 -0.26030196*0.2 -0.052060392 16313043 times 5 81565215 Multiply 1.76 and -38893. -68451.68 What is the product of 8288489 and -52? -431001428 Calculate -212181302*-3. 636543906 -4 times -3055465 12221860 -10.691 * 586 -6264.926 -11.7746*-197 2319.5962 Multiply 1.0208 and -1.338. -1.3658304 Product of -0.60927 and -1.45. 0.8834415 Product of 0.06 and 410.4347. 24.626082 Work out -173309 * -1.79. 310223.11 12036325*1 12036325 -0.01 times -11739176 117391.76 Work out 42263 * -732. -30936516 Work out 21968004 * -0.039. -856752.156 What is the product of 0.036 and 8561? 308.196 0.0127 times 373626 4745.0502 What is the product of 8857939 and -0.02? -177158.78 -12.59*208348 -2623101.32 Product of 0.044 and 290717. 12791.548 4339.2699 times -0.1 -433.92699 Product of -6696.16 and 0.74. -4955.1584 What is the product of 20549.3 and -3500? -71922550 17981.93*-0.13 -2337.6509 Work out 2565884 * -0.3. -769765.2 What is the product of -1.28 and 146139? -187057.92 Work out -12 * 54595524. -655146288 47299933 * -6 -283799598 Product of 0.0134 and 46959. 629.2506 -5862774.1*-0.4 2345109.64 Product of -3.3442888 and 4. -13.3771552 Work out -47 * -336.2727. 15804.8169 Product of 0.05367854 and 0.151. 0.00810545954 What is the product of 55 and 8907? 489885 -1230 times -4967 6109410 Multiply 838133 and -24. -20115192 Product of 0 and 16079.906. 0 Multiply -107.3 and -0.2637. 28.29501 236*18448 4353728 -1156 times 1020813 -1180059828 What is the product of 615.67 and -188? -115745.96 0.2 * 335654.83 67130.966 4*3.719997 14.879988 -458748*21 -9633708 0.3*8896 2668.8 What is the product of 267 and -0.20559? -54.89253 Work out -1247463577 * -3. 3742390731 Product of 16490908 and -6. -98945448 Calculate 3*-204.42882. -613.28646 Work out -208671439 * 5. -1043357195 Product of -6809 and -1357.4. 9242536.6 What is -4 times -304485? 1217940 What is -4.2454 times 89? -377.8406 2102796 * -0.27 -567754.92 Calculate 0.67614*-222. -150.10308 Multiply 4 and -61560.863. -246243.452 29 * 2667290 77351410 -0.2 * 9789882 -1957976.4 Product of 71678002 and 0. 0 -22.907*39898 -913943.486 Multiply -493 and 0.00977. -4.81661 8475*2428 20577300 Work out 137095 * 0.08. 10967.6 12 times 29388967 352667604 Product of 1433.949 and 389. 557806.161 What is 130599894 times 0.1? 13059989.4 Work out -18 * -71544. 1287792 Product of 1756 and 294.65. 517405.4 12.807 times 110001 1408782.807 Work out -8 * -151176032. 1209408256 -5 * 1808.319 -9041.595 -5 times 28465461 -142327305 -269.4 times -6 1616.4
{ "pile_set_name": "DM Mathematics" }
j + 277*j for j. -50 Solve 157 = 506*m + 11931 - 642 for m. -22 Solve -12858*f = -3425*f - 698042 for f. 74 Solve -15106*s + 45262*s - 3186 = 15091*s + 15092*s for s. -118 Solve 665*w + 3454 + 11129 = 3278 for w. -17 Solve -94*a = -16 + 46 - 128 - 90 for a. 2 Solve 2652*g - 3793 = 22727 for g. 10 Solve -263*g - 1297*g = -78000 for g. 50 Solve -10492*z - 4939*z - 1429*z = 1302*z - 2975*z for z. 0 Solve -1311 = -710*q - 11961 for q. -15 Solve 67*v - 93*v - 3612 = -69*v for v. 84 Solve -1891*q + 67542 + 6207 = 0 for q. 39 Solve -513*c - 28184 - 601 - 19437 = 0 for c. -94 Solve 21370 = -4255*f - 165850 for f. -44 Solve 7263431*p - 7263346*p = -2465 for p. -29 Solve -1378*k - 21778 = 5782 for k. -20 Solve 70*u = -4540 + 5660 for u. 16 Solve -14542*r - 780290 = 7752*r for r. -35 Solve -1418 - 3893 = -302*n - 2520 + 9591 for n. 41 Solve 161*a + 22*a + 14961 = 12948 for a. -11 Solve 10063 = -740*i + 22 + 1161 for i. -12 Solve -541*w - 1343*w + 16761 + 52191 = -116*w for w. 39 Solve 8778 = -63*r - 199*r + 23*r + 30*r for r. -42 Solve 689*w - 10419 - 2378 = 7662 - 2545 for w. 26 Solve -898*v + 461*v - 2310 = -327*v for v. -21 Solve 69*j + 1036*j + 958*j = 260*j + 128013 for j. 71 Solve -156*q - 151*q - 110 = -312*q for q. 22 Solve 89*j + 4454 = 5611 for j. 13 Solve -47029 = 35900*b - 35374*b + 10348 + 10477 for b. -129 Solve 4820*w + 5836 + 1376 = 45772 for w. 8 Solve 1065*w + 19808 = -173*w for w. -16 Solve 726*v = -714*v - 632*v + 1974*v + 7742 for v. 79 Solve 6295*d - 398208 = 2060*d - 6828*d - 1381*d for d. 32 Solve -5589 = -31*l + 90*l + 158*l + 5044 for l. -49 Solve -2915*u + 601892 = 5661*u + 10790*u - 250212 for u. 44 Solve -192*h - 1063 - 2602 - 3095 = -2152 for h. -24 Solve 213 = 1427*r - 1474*r - 1385 for r. -34 Solve -161*f - 5882 = 91*f - 1598 for f. -17 Solve 11563*x = 23162*x - 231980 for x. 20 Solve 4106*w + 255360 = -1506*w + 1356*w for w. -60 Solve -15463 - 15979 + 7561 = -364*z + 1963 for z. 71 Solve -2068*a + 14998 = -2683*a + 8114*a for a. 2 Solve 1844*t + 1158*t = 142*t + 177320 for t. 62 Solve -6925 - 19955 = -420*v for v. 64 Solve -37473*f + 40798*f + 56525 = 0 for f. -17 Solve -507 - 187 - 597 = -104*t + 61 for t. 13 Solve 1821*z + 7989 = -10494 - 43604 - 1648 for z. -35 Solve 2713*d = -2367*d - 269240 for d. -53 Solve 87*h = 15739 - 18958 for h. -37 Solve 38*s + 725959 = 723793 for s. -57 Solve 287*i + 432*i + 46735 = 0 for i. -65 Solve 149460 = -3761*x - 4741 for x. -41 Solve -70535 - 19278 = 78*t - 1641*t - 1534*t for t. 29 Solve 69*x + 223*x + 423*x = -86*x + 28035 for x. 35 Solve 14*s + 9482 = 9146 for s. -24 Solve -86*t - 111*t + 186 = 9*t - 20*t for t. 1 Solve -647*w = 144*w - 52206 for w. 66 Solve 43*m - 14*m + 546 = -11*m + 1826 for m. 32 Solve 216*m - 7691 - 9709 = -768 for m. 77 Solve -2548 = -2*u - 52*u - 31*u + 597 for u. 37 Solve 0 = -1358*v + 1400*v - 1470 for v. 35 Solve -1037*x - 27090 = -27*x + 16340 for x. -43 Solve -176*u + 11907 = 10499 for u. 8 Solve -189*s + 144374 = 135869 for s. 45 Solve 51*n - 256*n + 4926 + 2794 + 4785 = 0 for n. 61 Solve 5295*k = 5714*k - 41062 for k. 98 Solve 3739934*y = 3739997*y + 4662 for y. -74 Solve 10811 + 2044 = 1544*b - 4381 - 30628 for b. 31 Solve 565955 = -31*b + 565335 for b. -20 Solve 24*p + 1794 = 54*p + 167*p + 102*p for p. 6 Solve 265*i - 314*i = -216*i + 10354 for i. 62 Solve -10347*y = -10870*y + 17782 for y. 34 Solve 77564*y - 77492*y + 1296 = 0 for y. -18 Solve -116142 + 12062 = -307*f + 1595*f + 13*f for f. -80 Solve 197*q - 3826 + 12888 = 0 for q. -46 Solve 20*o + 27*o = -2209 for o. -47 Solve 0 = -20090*c + 18313*c - 31986 for c. -18 Solve 85*g + 32*g = 59*g - 21*g + 3871 for g. 49 Solve 17084106*z - 17084107*z + 29 = 0 for z. 29 Solve 931*f + 1390*f = 81235 for f. 35 Solve -1810*p + 1305 = -1549*p for p. 5 Solve 915*c = -88097 + 164957 for c. 84 Solve -1681 = 6*g - 1795 for g. 19 Solve 189*l + 11912 - 19188 = 1307*l + 54214 for l. -55 Solve -3967*s - 3751 - 3582 + 43036 = 0 for s. 9 Solve 208764 = 5495*o - 202327 - 182369 for o. 108 Solve -492*p + 19858 = -369*p + 252*p - 22892 for p. 114 Solve 3673*k - 21846 = -3644*k - 3808*k + 10794*k for k. 66 Solve -51*a - 847*a = 44*a + 164*a + 16590 for a. -15 Solve 322*y + 1122394 = 1132054 for y. 30 Solve 94*x + 5*x + 7584 - 753 = 0 for x. -69 Solve 429 = 940*o - 797*o for o. 3 Solve 27786 = 1460*j - 197*j for j. 22 Solve -146*m - 8121 + 2555 = -1388 + 7064 for m. -77 Solve -146693 + 146330 = 2*c - 35*c for c. 11 Solve -7*o + 223*o = -296*o + 166*o + 38752 for o. 112 Solve 2387 - 3236 = -213*z + 3198 for z. 19 Solve -220*w + 11*w = -114 - 7493 + 292 for w. 35 Solve -14540*n + 6337*n + 2143335 = 8412*n for n. 129 Solve -2444*h - 115857 = -1719*h + 2020*h + 2772*h for h. -21 Solve 5358 - 1820 = 1907548*t - 1907490*t for t. 61 Solve -101*g - 83*g - 57*g = 59*g + 23100 for g. -77 Solve 0 = -191*z - 131*z - 12558 for z. -39 Solve -690*m + 2620*m = 150540 for m. 78 Solve 23042 = 1511*j + 1253*j - 2483*j for j. 82 Solve 0 = 292*h + 5045 - 36289 for h. 107 Solve 2437*v - 2343*v - 1123 = 757 for v. 20 Solve 142*t + 15647 = -27*t + 2905 - 4158 for t. -100 Solve -470*t = -23042 + 20222 for t. 6 Solve 0 = 7007*t - 6214 + 419627 for t. -59 Solve -35*l = 29*l - 20*l + 1892 for l. -43 Solve 12*v - 3558 = 3500 - 6170 for v. 74 Solve 1337*p + 1325*p - 658*p = -1103*p + 347984 for p. 112 Solve -76*c = -9*c + 103*c - 7990 for c. 47 Solve -3562*d - 43685 = 159349 for d. -57 Solve 24101 + 16298 = -801*b - 22079 for b. -78 Solve 3756*w + 52835 - 7763 = 0 for w. -12 Solve 86514 + 5570 = 3195*v - 48496 for v. 44 Solve 1268*u - 1376*u - 2997 - 567 = 0 for u. -33 Solve -1828*d - 1375 = 453 for d. -1 Solve 835056 = -15113*l - 132176 for l. -64 Solve 884 + 428 = -260*p + 214 - 462 for p. -6 Solve 7378*j = 7381*j + 24 for j. -8 Solve -2264*w - 186894 - 5796 = -123*w for w. -90 Solve 8053 = 1689*q - 1106*q - 4190 for q. 21 Solve 563*v + 394 + 1190 - 104961 = 2590*v for v. -51 Solve 298*u + 2499 = -3404 - 1845 for u. -26 Solve 2271 - 19293 = -1903*f + 1362 + 12064 for f. 16 Solve -14874 + 23914 - 13639 = 63*a for a. -73 Solve -86*z - 1258 - 457 + 2489 = 0 for z. 9 Solve 2178 = -487*f - 1084 + 340 for f. -6 Solve -3102*u - 1690*u = 644*u + 3866 + 23314 for u. -5 Solve 64 = -19*l + 45*l + 111*l - 8156 for l. 60 Solve -242527*h + 1260 = -242557*h for h. -42 Solve 0 = -63*q - 10363 + 18112 for q. 123 Solve -123*t - 3248848 = 47*t - 3244258 for t. -27 Solve 114*h - 20620 = -14122 for h. 57 Solve -1077*z - 23763 = 403*z + 48778 - 2981 for z. -47 Solve 203*f - 2865 = -6*f + 18*f for f. 15 Solve 127*w - 7212 + 9293 = -120*w - 9034 for w. -45 Solve 0 = -142611*n + 142389*n - 11544 for n. -52 Solve 28 = -3825*x + 3797*x for x. -1 Solve 49*z + 16*z = -48*z - 9133 + 1675 for z. -66 Solve 34*d + 52778 - 53220 = 0 for d. 13 Solve -279*d - 279*d + 780 + 1142 = -620*d for d. -31 Solve 0 = -2003*m - 1570*m + 35613 + 407439 for m. 124 Solve -644*p = -4449 - 3052 - 3447 for p. 17 Solve 461*f + 9150 = -133*f - 16*f for f. -15 Solve -35413*k - 4390 = -35525*k - 3650 + 4412 for k. 46 Solve -71*z + 5 = 101*z - 18*z + 11709 for z. -76 Solve -34*h = 96 - 53 + 365 for h. -12 Solve 559*i - 6793 = 3828 for i. 19 Solve 11*d + 44*d = -63*d + 33*d - 1955 for d. -23 Solve 7877*l - 82246 = 173775 - 22281 + 10447 for l. 31 Solve -31*j = -96419 + 95396 for j. 33 Solve -2401*x - 467 = -2438*x - 1836 for x. -37 Solve 0 = -722*y - 1151*y + 156502 - 4789 for y. 81 Solve 0 = -91*z - 101*z + 7127 - 11351 for z. -22 Solve 31852951*g + 19781 = 31852800*g for g. -131 Solve 37*m + 1178 = -32*m - 1168 for m. -34 Solve -119*q - 928 - 1270 = -294 for q. -16 Solve 44622 - 44622 = 462*s for s. 0 Solve 20285*k = 20115*k + 14620 for k. 86 Solve 97*y - 1480 = -1591 + 5931 for y. 60 Solve 10*f + 762 - 230 = 1252 for f. 72 Solve 3898 - 6436 = 947*k + 5038 for k. -8 Solve 54*j + 27207 = -16*j + 28957 for j. 25 Solve -278*a - 953*a + 28*a + 86*a - 6702 = 0 for a. -6 Solve 0 = 619*d - 476*d - 2288 for d. 16 Solve -23*u = -5250 + 4905 for u. 15 Solve 1066*v - 81783 = -2938*v - 265967 for v. -46 Solve 27164*u = 27260*u - 4902 - 4506 for u. 98 Solve -4199 - 5041 = -210*n - 120*n for n. 28 Solve 45*f + 153*f + 10061 + 2553 = -173*f for f. -34 Solve -164*a - 918 + 4312 = -2018 for a. 33 Solve 390 = -117*m
{ "pile_set_name": "DM Mathematics" }
3)/u + (-12)/6. What is the biggest value in n, m, 2/5? n Let q = 0.01 + 1.99. Let u(h) = h**3 + 6*h**2 + 5*h - 1. Let w be u(-5). Let l = -15.6 - -16. Which is the second smallest value? (a) q (b) w (c) l c Let h = -304 - -904/3. What is the third smallest value in h, 1, 0.4? 1 Let a = -0.29 + 5.29. What is the third biggest value in 1, a, -1/2? -1/2 Let f = -6.19 - -0.19. Let g = -7 - f. Which is the third biggest value? (a) -0.06 (b) g (c) 0.4 b Let j = -4 + -3. Let l = j - -7. Which is the smallest value? (a) -2/3 (b) l (c) 1/4 a Let i = 0.77 + -0.9. Let t = i + -0.07. Which is the third smallest value? (a) 0.1 (b) -1/12 (c) t a Let i = -314 + 310. Let o = -2 + 6. Which is the biggest value? (a) 2/5 (b) o (c) i b Let i be (8/6)/((-2)/3). Let l = -0.5 + 0. What is the biggest value in i, l, 0? 0 Suppose o + 0 = -3*j - 9, 3*o - 4*j = -1. Which is the second smallest value? (a) -0.1 (b) o (c) 4 (d) -0.5 d Suppose -19*v + 60 = -7*v. Let u(y) = y**2 - 3*y. Let r be u(3). Let x = r - 0. Which is the second smallest value? (a) -1/2 (b) x (c) v b Suppose 5 = 2*t + 1. Let j = 4.4 + -0.4. Let r = -603/5 - -121. What is the second smallest value in j, t, r? t Let h = 2084/57 - 110/3. Let x = -0.3 + 0.3. What is the biggest value in h, x, -2/15? x Let f = 22.2 + -22. What is the third biggest value in -1, f, -3/23? -1 Let p be (1 - 0) + (-3)/5. Let a = 107 + -112. What is the biggest value in a, -1, p? p Let k = 4 - 13/3. Let i = -2/21 + k. Let g(t) = 5*t - 3. Let y be g(1). What is the third smallest value in i, 5, y? 5 Let n = 1/155 + 6/31. Let y be 63060/(-432) + (-1)/4. Let z = y - -146. Which is the third biggest value? (a) z (b) n (c) 3 a Let q = -53 + 53.4. Let p(u) = -u**3 + 7*u**2 - 7*u + 2. Let d be p(6). Which is the second biggest value? (a) q (b) d (c) 2/9 c Let k be (-2)/(-4)*(1 + -1). Suppose -5*r + 25 = -k*r. What is the third smallest value in r, 0.3, 3? r Let p be 13/12 - (-1)/(-3). Let i(d) = d**3 - 11*d**2 - 3*d - 6. Let q be i(11). Let j be (-26)/q*6/(-8). Which is the smallest value? (a) -5 (b) p (c) j a Let g be (4 - 9/3)*(-5)/(-3). Let k = 3.4 - 4. What is the biggest value in g, -1, k? g Suppose -2*d + 16 = -0*d. What is the third biggest value in 3/5, -4/9, d? -4/9 Let g = 2 + -1.5. What is the smallest value in g, -4, -1/8? -4 Let x = 6 - 7. Which is the third biggest value? (a) x (b) 2/3 (c) 4 a Suppose 0 = 3*a + 3*y - 6, -3*a + 3 = -4*a + 4*y. Let j = -0.149 - -0.449. What is the second biggest value in 1/2, a, j? 1/2 Suppose 3*t + 2 = 11. Suppose -3 = -t*b + 3*w, 5*b - 3*w - 4 = 1. Let d be -2*(-3)/(-18)*b. What is the second smallest value in 0.3, d, -4? d Let v = -0.39 + 8.39. Which is the third biggest value? (a) 0.5 (b) -0.5 (c) 1 (d) v a Let n = 37 + -42. Which is the second biggest value? (a) 4/9 (b) 1.5 (c) n a Let k = -3.974 - 0.026. What is the second biggest value in -0.1, k, 0.4? -0.1 Let f = -0.12 + 0.22. What is the second smallest value in f, 0.3, 2/7? 2/7 Let t = 6.5 - 6. What is the biggest value in -2, t, 1, 4? 4 Let m = 1.9 - 2. Let r = m - -0.5. Let o = -3/2 - -3/4. What is the third biggest value in r, o, -0.4? o Let p = -0.68 + 0.28. Let z be 6/(-9)*2/(-4). What is the second biggest value in p, z, -1/12? -1/12 Let a = -0.037 - 0.463. What is the biggest value in a, 4, -20, -5? 4 Let d = 0.28 - -0.22. What is the third biggest value in d, -4, -0.5? -4 Let q = -3 + 2.96. Let d = q - 0.36. Let b = 0.5 + -1.5. What is the biggest value in b, -4, d? d Let h = 1.9 + 0.1. Suppose -2*x + 2 = -5*k, 2*k = 2*x - 2*k - 4. Suppose 13 = 2*i - l + x*l, 4*l - 4 = 0. Which is the smallest value? (a) i (b) h (c) -4 c Let q be (-34)/(-10) - (-4)/(-10). Suppose 0 = -2*h - h + q. Which is the second biggest value? (a) 5 (b) h (c) 0.5 b Suppose -388 = -4*y + 2*k - 128, 3*y - 188 = -2*k. Which is the second smallest value? (a) 2 (b) 5/3 (c) y a Let p = -52 - -363/7. Suppose -2*u - 28 + 3 = 5*z, -5*z = -2*u + 25. What is the second smallest value in p, z, 0.5? p Let i be (-9)/2*(-3)/27. What is the biggest value in i, -0.2, 1? 1 Suppose 2*s = 3*s + 36. Let z = 106/3 + s. What is the second biggest value in 0.15, -3, z? z Let k = -90.93 + 96. Let t = k - 0.07. Which is the second smallest value? (a) t (b) -2/3 (c) 5/2 c Let t be 2/(-4) - 24/(-72). Let l = 4 - 4.3. Which is the third biggest value? (a) t (b) l (c) -5 c Let a = 30 + -29.5. What is the third biggest value in 2, a, 1? a Let f = -3.2 + 3.4. Let d = 11 + -15. Which is the second smallest value? (a) f (b) d (c) -2 c Suppose 3*x - 3*o + 15 = 0, 5*x = 2*x + 2*o - 15. Let v be (-3 - -15)/(4/6). Let k be v/(-9) - (0 - -2). Which is the second biggest value? (a) x (b) k (c) 2 b Let u = 7.4 - 2.4. Which is the third biggest value? (a) -4 (b) -0.4 (c) u a Let v be 5/(30/4) + (-182)/(-42). Let z(g) = -g + 1. Let c be z(-2). What is the third smallest value in -0.4, c, v? v Let q = 12.3 - 12.7. What is the third biggest value in -1/4, 0.2, q, 0? -1/4 Suppose 0 = -2*x - 2, 20 = -2*z + 3*z - 5*x. Suppose 4*i - 1 = z. Which is the smallest value? (a) -0.2 (b) i (c) 0 a Let w = 159 - 154. What is the third smallest value in 1, 4, -5/2, w? 4 Let q = 25 - 24.6. Let c = -0.03 + 0.63. Let b = -0.1 + c. What is the third biggest value in q, 2, b? q Let i = -0.4 + -2.4. Let z = i - -3. What is the smallest value in z, -1/3, -0.5? -0.5 Let x be (2/4)/((-11)/22). What is the biggest value in x, 1/6, -0.3? 1/6 Let p = -7 + 7.04. Let b = 0.06 - p. What is the second smallest value in b, 0.5, -0.4? b Let u = 0.58 + -0.08. Suppose h + 2 - 6 = 0. Let t be -1*(-1 + h - 2). Which is the third smallest value? (a) 0 (b) t (c) u c Let w = -20 + 20.08. What is the second biggest value in -1, -4, w? -1 Let m = -11 + 15. Let g = 7 - m. Which is the third biggest value? (a) -1 (b) g (c) -2/15 a Suppose 0 = -4*n + 17 + 7. Let b(f) = 7 - 7*f - 2 - f**3 - 3 + 2 + 7*f**2. Let l be b(n). What is the second biggest value in -2/7, 0, l? -2/7 Suppose -10*l = -5*l - 40. What is the smallest value in 0.2, l, -4? -4 Let l = -0.02 + -0.18. Let g = -320 + 4158/13. What is the biggest value in g, 2/7, l? 2/7 Suppose -4 = 2*g, 7 = 4*b - 2*g - 9. Let y = 0.12 - 0.32. What is the second smallest value in b, y, 1? 1 Suppose 4*k + 0*k + 11 = -i, 0 = 2*k + 4*i + 2. Which is the third biggest value? (a) -2/17 (b) k (c) 1 b Let k = -14.8 + 16. Let d = -2.8 - k. Which is the smallest value? (a) -5 (b) d (c) 0.1 a Let z = 14.2 - -2.8. Let s = -17.4 + z. What is the biggest value in s, 3, -0.2? 3 Let p be (-4)/(-10)*(270 - 0). Let v be 2 - 1/(57/p). Which is the third biggest value? (a) -2/9 (b) v (c) -5 c Let w = 0.4 + 3.6. Let v = 1474393/280 + -5266. Let o = v + 1/40. Which is the third biggest value? (a) o (b) 0.4 (c) w a Let p = -0.12 - -0.82. Let l = 1 - p. What is the second biggest value in 1, l, 0.2? l Let u = -2 - -1.7. Suppose 3 = 3*q - f, 10*f - 3 = -3*q + 7*f. Which is the second biggest value? (a) -3 (b) q (c) u c Let j = 58 - 59. Which is the third smallest value? (a) -0.2 (b) 0 (c) -5 (d) j a Suppose 5*b = 15*b + 10. What is the biggest value in 5, 0.2, b? 5 Let l = 6.1 + 0.9. Let k = -6 + l. What is the third biggest value in -4, 0, k? -4 Let l = 3 - 7. Let v = -2 - -17. Let o = v - 15.3. Which is the biggest value? (a) -5 (b) o (c) l b Suppose -2 = -j - w, 0 = -3*j + 3*w - 5 - 7. Which is the second biggest value? (a) j (b) 5 (c) 3 (d) 0.5 c Suppose -4*f = -f. Suppose -9 = 3*p - f*p. Let l be p*5/((-330)/4). What is the third smallest value in l, -0.1, 0.3? 0.3 Let p = 3.8 - 3.7. Which is the second smallest value? (a) -1/4 (b) p (c) -0.8 a Let d be (-29)/(-203) - ((-220)/(-7))/(-4). Suppose 0 = -4*t + t + 15. What is the biggest value in 4, d, t? d Let u be 2*(-3)/2 + (-319)/(-99). Which is the second smallest value? (a) u (b) 13 (c) -4 a Let t = 1.4 - -4.6. Let f = t - 1. What is the smallest value in f, -3, -3/5? -3 Let m = 10 - 9.5. Let j = -1 + m. Which is the third smallest value? (a) -0.1 (b) j (c) -10 a Let j = 3.1 - 0.1. Let k = -4 + j. What is the second biggest value in -0.3, -3, k? k Let h = -3.1 - 0.9. Let o = -2.5 - -0.5. Let y = 2.06 + o. What is the biggest value in h, -5, y? y
{ "pile_set_name": "DM Mathematics" }
5)**(-2/15)*(p/(p*p**(-4/7)))**(-2/7) assuming p is positive. p**(-122/147) Simplify (s**6)**(6/13)*(s*s**(1/12)*s*s)**(-29/5) assuming s is positive. s**(-11789/780) Simplify ((k**(1/11)*k)/(k/((k/(k*k**(-3)))/k*k)*k))/((k/(k*k/(k/k**(-7)))*k)/(k/k**(3/16))) assuming k is positive. k**(-897/176) Simplify ((d*d*d**(-9/5))**(-45))**(-3/14) assuming d is positive. d**(27/14) Simplify (n**(3/16)*n**(-3/11))**(-14) assuming n is positive. n**(105/88) Simplify ((o*o**(-3/4))/(o/(o/(o/o**7)))*o**(1/3)/(o**(3/2)/o))**(2/7) assuming o is positive. o**(73/42) Simplify ((p/p**(-1/13))**(1/11))**(-34) assuming p is positive. p**(-476/143) Simplify ((q/q**(6/11))/q)**13/(((q*q*q*((q/(q**(-3)*q*q)*q)/q)/q)/q)/(q/q**(-2/83))) assuming q is positive. q**(-8278/913) Simplify (a*a**(1/5)*a*a**(-1/60)/a)/(a**12*a*a**1/a) assuming a is positive. a**(-709/60) Simplify (w*w**12*w/(w/(w/w**17)))/(w**(1/2))**(1/3) assuming w is positive. w**(-19/6) Simplify (y*(y/y**(-9)*y)/y*y)**49*(y**10)**(1/38) assuming y is positive. y**(11177/19) Simplify ((t*t**(-3/2)*t)/t)**17/(t/t**21*t)**(1/2) assuming t is positive. t Simplify (f/f**17*f/(f**13/f))/((f*f*f**(-10/13)*f*f)/f**(-2/31)) assuming f is positive. f**(-12209/403) Simplify (r**3/((((r/((r*r/(r*(r*r*r**20*r)/r))/r)*r)/r)/r)/r))/(((r*r/(r/(r**(-2)*r))*r)/r)/r)**(-1/8) assuming r is positive. r**(-145/8) Simplify (((o/o**(-2/9))/(o*o/((o*(o**(2/19)/o)/o)/o)))/(o*o*o**0)**49)**(1/6) assuming o is positive. o**(-17215/1026) Simplify (h**(-4)/h)**(1/6)*h**(-10)*h**0 assuming h is positive. h**(-65/6) Simplify ((w**(-1)/w*w*w**(-2))**5)**12 assuming w is positive. w**(-180) Simplify (b/(b/b**(4/11)))/(b/(b*b/b**(3/11)))*(b*b**(-1))/(b*(b**(3/5)*b)/b) assuming b is positive. b**(-28/55) Simplify ((s*s**0)**(-3)*s**(-5)*s**(3/2)/s*s)**(-25) assuming s is positive. s**(325/2) Simplify (p*p/(p*p**3)*p*p/(p**(-1)*p)*(p**0)**48)**(-8) assuming p is positive. 1 Simplify ((q/(q*q*q**(1/7)*q)*q*q**5)**39)**(2/37) assuming q is positive. q**(2106/259) Simplify w*w*(w/(w*w**(-2/37)))/w*w*w*w*w**(-9/5)*(w*w**(-1/2))**(-15) assuming w is positive. w**(-1941/370) Simplify ((s**(1/13)*s)/(s*s**13))/(s*s**(1/19)/s*s**(4/9)/s) assuming s is positive. s**(-27610/2223) Simplify p*(p*(p*(p**(-21)*p)/p*p)/p)/p*p*p**(-30)*p/(p/p**(6/5))*p/(((p/(p**(-3/17)*p))/p)/p) assuming p is positive. p**(-3738/85) Simplify (c**(-9/4))**6*c**(-8)/(c*(c/(c/(c*c**19)*c*c))/c*c) assuming c is positive. c**(-81/2) Simplify ((((z*z*z**(-3/7)*z)/z*z)/z)/z)**(-11/4)*(z**1)**(5/4) assuming z is positive. z**(-9/28) Simplify (w**(7/4)*w/(w*w*w**(-15)))/((w*(((((w**32/w)/w)/w*w)/w)/w)/w)/w*w*w**(1/17)) assuming w is positive. w**(-837/68) Simplify b/(b/b**0)*b*b*b/(b*b**(1/6))*(b**3)**40 assuming b is positive. b**(731/6) Simplify (w*(w**(2/9)/w)/w*w*w*w**4)/(w**15/w**(-1/16)) assuming w is positive. w**(-1417/144) Simplify (i**(1/4))**(-2/3)*(i*(i/((i**(-3)/i)/i))/i)/(i/(i**15/i)) assuming i is positive. i**(113/6) Simplify q**(-19)*q/((q*q*q**(-7/8)/q*q)/q)*(q**7)**(-16/3) assuming q is positive. q**(-1331/24) Simplify (m**(1/11)*m/(m*m**(-1/3))*m*(m*m**(-6)*m)/m**2)**(-16/7) assuming m is positive. m**(2416/231) Simplify ((z/z**(2/5))/z*z)**(-1/17)*z**11*z/(z**27/z) assuming z is positive. z**(-1193/85) Simplify (l**(-16)/l**(1/3))/((l*l*(l*l**(1/13))/l)/(l**7/l)) assuming l is positive. l**(-484/39) Simplify ((t*t**(-16))**(-25))**13 assuming t is positive. t**4875 Simplify ((g/(g*g**(-2)*g))/g*g)**(-3)/(g**(7/3)/g*g/(((g**(-1/11)*g*g)/g)/g)) assuming g is positive. g**(-179/33) Simplify ((c**4/c**(-2/27))**23)**33 assuming c is positive. c**(27830/9) Simplify ((h**(-1/2))**24*(h*h**(-1)*h)**(-36))**(-19) assuming h is positive. h**912 Simplify ((o/(o/(o*o**4)))/o)**(-2/117)/(o**(-9)*(((o*o**9*o*o)/o)/o)/o) assuming o is positive. o**(-8/117) Simplify ((m/(m/(m**(1/2)*m)))/m**(-4))/(m**1*m)**(-13/6) assuming m is positive. m**(59/6) Simplify ((v**(1/2))**(-34)*((v*v**(-1/4))/v)**(2/45))**(2/17) assuming v is positive. v**(-1531/765) Simplify (n**(-2)*n/(n*n*n/n**(-1/7)))**(-24) assuming n is positive. n**(696/7) Simplify y**(8/5)*y**(-1/5)*(y*y*y**(-10)*y)**(2/37) assuming y is positive. y**(189/185) Simplify ((z/z**(-7)*z**4)/(z/(z**(1/6)/z))**(2/89))**(4/3) assuming z is positive. z**(12772/801) Simplify g**(-5/3)*g*g**3*(g/(g*(g**(2/3)/g)/g*g*g))**(-42) assuming g is positive. g**(91/3) Simplify (((g/g**(-14))/(g/((g/(g*g/(g/(g/(g*g*g**(-2/25))))))/g*g)))**(3/8))**17 assuming g is positive. g**(19023/200) Simplify ((d**(-13)*d)/(d/(d/(d**(-3/4)*d*d))*d))/(d**(-10)*d/d**(-8/3)) assuming d is positive. d**(-95/12) Simplify (o*o/o**0*o*o)**(2/9)/((o*o*o**12)/(((o/(o/o**(11/3))*o)/o)/o*o)) assuming o is positive. o**(-85/9) Simplify (((r*r**(-9))/(r/(((r*r**(-2/3))/r)/r)))**15)**(-1/2) assuming r is positive. r**80 Simplify (z**(1/5)/(z/(z/(z**(-2/15)*z)*z)))/((z**(-1/14)*z)/(z/z**(2/5))) assuming z is positive. z**(1/210) Simplify ((i**6/i**3)/((i**7/i*i)/i**6))**(-18) assuming i is positive. i**(-36) Simplify o**13/((o/(o/(o*o**(-6/13)*o)))/o*o)*o**(-6/11)*o*o**(3/7)*o assuming o is positive. o**(13358/1001) Simplify i**(4/25)*i/((i/((i/i**(-11))/i))/i)*i*i**7/i*i**(6/13) assuming i is positive. i**(6377/325) Simplify (o**2)**(2/3)*(o*(o*o/(o/o**11))/o)/(o/((o**(-1/20)/o)/o)) assuming o is positive. o**(617/60) Simplify (z**20)**38*(z**(-2/25))**35 assuming z is positive. z**(3786/5) Simplify (m/(m*m**(-5/3))*m)**46*(m/m**(-2/3))/m**(10/7) assuming m is positive. m**(2581/21) Simplify (y**(1/11)/y)/(y**(-7/3)/y*y)*y**(-8)*y**(-1/9) assuming y is positive. y**(-662/99) Simplify (((l**(3/20)*l)/l)/((l/(l/(l/l**(-9))))/l))/(l/(l/(l/(l/((l*l**15)/l))))*(l**(-19/4)/l)/l) assuming l is positive. l**(-171/10) Simplify (((q*q/q**(3/5)*q)/(q*q/(q**(-3/5)*q)*q))**(-39))**(-12) assuming q is positive. q**(-468/5) Simplify (i**0/i*i**(-5))/(i*i*i*(i/(i**11*i))/i*i*i*i*i*i/i**7) assuming i is positive. i**5 Simplify (f**11)**(1/60)*(f/f**(4/19))**(-29/4) assuming f is positive. f**(-1579/285) Simplify w**(2/67)*w/(w**0*w)*w**(-32)*(w/(w*w/(w*w/w**(15/4))))/w assuming w is positive. w**(-9573/268) Simplify l**(3/8)/l*l**(2/25)*(l*l/(l**(-6/7)/l))/l*l**15/l assuming l is positive. l**(22837/1400) Simplify ((f/(f*(f*f/(f**(-4/7)*f*f))/f))/f)**(-1/2)*(f/((f/(f/(f/((f/f**0)/f*f)*f)))/f*f*f))**(1/3) assuming f is positive. f**(-1/21) Simplify ((r*r/r**(-2))/r)/r*r*r**(-2/37)*r**(-3)*r**(-6/5) assuming r is positive. r**(-232/185) Simplify ((c**(5/3))**(3/5))**11 assuming c is positive. c**11 Simplify ((j/(j*(j*j*((j/j**(-1/5))/j)/j*j)/j*j))/j*j)**10*j**(-3/2)*((j**(-1/14)*j)/j)/j assuming j is positive. j**(-172/7) Simplify (((t**1)**(2/7))**22)**(-29) assuming t is positive. t**(-1276/7) Simplify (k**(3/4))**(-39/4)/((k*k**(-5))/(((k*k**(-3))/k*k)/k)) assuming k is positive. k**(-101/16) Simplify ((c*c**(-17/3))/c)**41*c**10/(c/(c/c**(25/3))) assuming c is positive. c**(-692/3) Simplify (p**17/(p*p**(12/5)))**(2/11) assuming p is positive. p**(136/55) Simplify (v*v**12*v*v/(v/v**(-1/4)))/((v**(-1/3)*v)/v)**(5/2) assuming v is positive. v**(175/12) Simplify ((v/(v*v/(v**(-2/7)/v))*v*v*v**(7/3))/(((v*v**(-7/3)*v)/v)/v**(-8)))**(-13/4) assuming v is positive. v**(1261/84) Simplify ((l**2/(l**(1/2)*l))/(l**1/l*l*l*l)**(-2/37))**(1/10) assuming l is positive. l**(49/740) Simplify ((z/(z/z**(-4/9))*z*z)/z)**(-1)*z**19*z**(1/14) assuming z is positive. z**(2333/126) Simplify ((d*d/(d*d**(-13)/d)*d)/(d/((d*d*d/d**6)/d)*d))/(d*d**(3/10)*d*(d*(d**(-8/3)/d)/d)/d) assuming d is positive. d**(371/30) Simplify ((q/(q/((q*q**4/q)/q)))/q**9*(q**(1/3)*q)**(-19))**(9/4) assuming q is positive. q**(-141/2) Simplify ((n/(n**(-2/13)*n))/(n/(n/(n**(2/15)/n*n))*n*n))/(n**12/((n*n**(-6/11)*n)/n)) assuming n is positive. n**(-29011/2145) Simplify (x*x*x**(-32)/x*x**(10/9))/(x**(5/4)*x**39/x) assuming x is positive. x**(-2489/36) Simplify (v**(-2/3))**(2/89)*v**(-9/5)*v/v**(-1/2) assuming v is positive. v**(-841/2670) Simplify (a/a**(-3)*a**(-6)*a**2*a/(a/a**(2/3)))**(-6/11) assuming a is positive. a**(-4/11) Simplify (z*z**(-1/12)*z**(-18))/((z/(z*z**(-16)))/(z/((z/(z*z/(z**12*z)))/z))) assuming z is positive. z**(-517/12) Simplify ((k/k**(1/2)*k**(4/3))**(-7/4))**(3/10) assuming k is positive. k*
{ "pile_set_name": "DM Mathematics" }
/10) Simplify (n**2/n**2)/(n**(-3/8)/((n*n/(n*(n/((n*n/(n**(3/8)/n))/n*n))/n*n)*n*n)/n))*(n**(-6)*n*n/(n**(-1/4)*n))**(-49) assuming n is positive. n**(947/4) Simplify (c**(-1/16)*c)/c*c**11*c**(1/4)/c**17 assuming c is positive. c**(-93/16) Simplify ((b**(1/4))**(-1/57)/(b**(-12)/b*b*b*b*b**(-2/35)))**(-1/12) assuming b is positive. b**(-80221/95760) Simplify (((j/(j*j**(-33))*j)/j)/((j*j**24)/j))/(j**18)**(-5/4) assuming j is positive. j**(63/2) Simplify (((t**10/(t*t**(-5)))/((t*t*(t*t/(t*t/(t*t**(3/7))))/t*t*t)/t*t*t*t/t**(-7)*t))**(24/11))**(-2/49) assuming t is positive. t**(144/3773) Simplify ((i*i/i**(-4/9)*i)/(i*i**(-10)/i*i*i*i))**8*(i/i**(-9)*i**(-10))**(-1/18) assuming i is positive. i**(752/9) Simplify ((f*f**(2/5)/f)**(2/51))**(-6)/((f**0)**6/(f/f**0*f)**(-1/13)) assuming f is positive. f**(-274/1105) Simplify (z**(-6/7)*z*(z*z*z*z*z/(z*z**(-1/4))*z)/z)/(z**(-2/7))**(-2/97)*z/z**(2/9)*z**(-2/3)*z**(-5)*z/(((z**3*z)/z)/z) assuming z is positive. z**(-36713/24444) Simplify ((i/(i*i**(-6))*i**(1/3)*i)/((i/i**(-1/2))/i*i**6*i))/(i**(3/4)/(i/i**(-1/7))*i/i**6*i/((i*i**(1/7))/i)) assuming i is positive. i**(367/84) Simplify ((k**(-9)/k**(2/11))/(k/(k/(k**(5/3)*k*k*k*k)))**(-1/4))**(-7) assuming k is positive. k**(7175/132) Simplify q/(q**(-2/9)*q)*q/q**1*(q*q**1*q)**(-2/71)*(q/q**(-3)*q**(-4))**(4/5) assuming q is positive. q**(88/639) Simplify (n**(-6)/(n**(-3)/n))/((((n**(-2/9)/n*n)/n)/n)/(n**(-2)/n*n))*(n**(2/7)*n**1)**(-14/9) assuming n is positive. n**(-34/9) Simplify ((((a*a**(-2/5)*a*a)**29)**(-42))**(-43))**(-1/14) assuming a is positive. a**(-48633/5) Simplify (s*s**(-2))**(-18)/(s**(2/9)/s**(-2/27))*((s**9/s)/(s**(4/3)*s))/(s**0/s)**(-1/42) assuming s is positive. s**(8825/378) Simplify ((q**1/q)/((q/(q**(-1/3)/q))/q))/(q*q**(4/3)*q**(-1/8))*q*((q/(q/(q**(-4)/q)))/q)/q*q*q/((q**7*q)/q)*q**2*q**(-2/3) assuming q is positive. q**(-317/24) Simplify ((((b*b**(-9))**(-1))**34)**(1/3))**33 assuming b is positive. b**2992 Simplify ((h/(h*h/(h*h/(h*h**25)*h*h*h)))/h*h*h**(7/2))/(h**(38/3)*h/(h*h*h*h**(-17))) assuming h is positive. h**(-277/6) Simplify ((k*k**(-18))/k**(1/27))/(k/(k*k*k/(k*k*k**(-25))*k*k)*k**6*k) assuming k is positive. k**(80/27) Simplify ((l*l**(1/12)*l**(-2/9))/(l/(l/l**(12/7)))**(-2/9))**(-35) assuming l is positive. l**(-1565/36) Simplify (y*y**(5/3))/(y**(1/8)/y)*(y**(4/7))**(-16/3) assuming y is positive. y**(83/168) Simplify (c**(-2)*c*c**6*(c**(-2/7))**(-5/9))/((c/(c/c**(-2))*c*c*c)/c*c**5*(c/((c/(c*c**1)*c)/c))**(7/3)) assuming c is positive. c**(-284/63) Simplify (a**(-4/3)*a/(a*a*a**2))/(a**(-4)*a*a**(-5)/a)*(a/(a*a**2)*a/(a**5/a))**28 assuming a is positive. a**(-406/3) Simplify ((d**(-2/33)/d*d)/(d*d*d*d**(-23)*d)*(d/((d**14*d*d)/d)*d*d)/(d**(-1)/d))**(-43) assuming d is positive. d**(-12685/33) Simplify ((o/o**(-2)*o*o*o**(-2)*((o*(o/(o**(1/9)/o))/o)/o)/(o**(-7)/o))**(-33))**(-24) assuming o is positive. o**9416 Simplify (((g*g**1/g*g*g)/g)/g*g)**44/(g**(-3)*g*g**(2/17))*((g/((g/g**(-1/7))/g))**(-22))**(-1/16) assuming g is positive. g**(43345/476) Simplify (g/g**(-2/11)*g/(g**5/g))/((g*g/(g**3*g*g*g))/g*(g**(-3/4)/g)/g)*(g/(g/(g*(g/g**(-1))/g)))**16/(g*g/g**(1/4)*g*g*g)**(12/7) assuming g is positive. g**(9175/308) Simplify w/w**(1/18)*w*(w/w**18)/w*w**(-11/5)/w**25 assuming w is positive. w**(-3893/90) Simplify (i/(i*(i/(i/(i**(1/2)*i*i)*i))/i))**(-17)/(i**8*i*i**(-1/6))*((i**(-2/5)/i)/(i/(i/(i**(4/3)/i))))**(-28) assuming i is positive. i**(241/5) Simplify ((j/j**(-5)*j)**3*j**11/j**(-11/4))**(-9/4) assuming j is positive. j**(-1251/16) Simplify (f/(f*f**2))**(-5/8)/(f**(-2/13)/f**1)*((f/(f**(-6)/f))/(f*f**0))/(f**(-1))**(22/3) assuming f is positive. f**(2611/156) Simplify (r/(r/(r/r**(-5)))*r*r*r*r**(4/13))**(2/5)/(((r*r/(r/r**(-2))*r)/r)**(1/12)/(r**(-1))**(1/3)) assuming r is positive. r**(903/260) Simplify ((c/c**7)/(c*c**(4/7)*c))/(c**(-1))**(2/9)*(c*((c*c/c**(2/11))/c)/c)/((c*c/c**(2/5))/c*c)*(c**(-4)/c)/c**6 assuming c is positive. c**(-69754/3465) Simplify c**0*c*c*c/(c/(c/(c**(-1)*c)))*((c**(-2/5)*c)/c)**23*(c/(c/c**(-1)))**1/(c**(-1)/(((c*c*c**0)/c)/c*c*c)) assuming c is positive. c**(-21/5) Simplify (((((y*y*y**7)/y)/y)/(y**3*y))/(y**1)**4)/((y**2)**(6/13))**(-2/141) assuming y is positive. y**(-603/611) Simplify (c**(-28)*c)**50/(c/(c*c*c**14/c)*c/(c/(c**(-1/4)/c)*c*c)) assuming c is positive. c**(-5331/4) Simplify ((p/(p/(p*p**5)))/(p**(4/3)*p))**(-1/9)/((p*p**(3/7)*p)/p*p/p**3*(p*p/(p*p/p**(1/7)))/p**1) assuming p is positive. p**(193/189) Simplify (n**(-2)*n**8*n**(2/7)*n**(-22)/n)**(-27) assuming n is positive. n**(3159/7) Simplify ((p**1)**(11/3))**(36/11)/((p**(-1/7)*p**(-2/15))/(p**(2/3))**(6/5)) assuming p is positive. p**(1373/105) Simplify (m**3*m*m**6/m)/(m**(2/5))**(3/26)*(m**(1/5)*m**(-1/2)*m*m)**(-2/67) assuming m is positive. m**(38773/4355) Simplify ((((k/k**(-2/5))/k)/(k*((k*k*k**(-2))/k)/k))/(k*k**(2/3)*k**(-7/4)))/((k**(2/15)*k*k**(-3))/(k/k**(1/2)*k*k**(2/15)*k)) assuming k is positive. k**(359/60) Simplify (l**(-5)/l**(1/2))**(-6/5)*(l*l**(2/7)*l)**(-19/3)*(l*l*l**(-2/3)*l)**(-10/9) assuming l is positive. l**(-9893/945) Simplify ((z**(1/2)/z**4*(z*((z*z**(2/7))/z)/z)/z**(3/8))**(-14/5))**(-49) assuming z is positive. z**(-9849/20) Simplify (((w**6*w)/(w**1*w))/(w*w/w**(-13)*w/w**3))**(-1/7) assuming w is positive. w**(8/7) Simplify (l**(-2/5)/(l/(l/(l*(((l*l**8/l)/l)/l)/l*l))))**41*((l/((l*l**(-1/5)*l)/l))/l**8)**5 assuming l is positive. l**(-1712/5) Simplify (w/w**(1/4))**(6/23)*((w*(w**(2/7)*w)/w)/w)/(w/(w**(1/8)/w))*(w**(-2/9))**(-18/5)*(w/(w/(w/(w/w**(4/11)))))/(w*w/(w*w**9)) assuming w is positive. w**(550427/70840) Simplify (s**(-1)/s**5)**(-26)*(s**2/s)/(s*s**(-1/5)*s)*(s**(-1/4))**(-2/25) assuming s is positive. s**(7761/50) Simplify (d**4*d/(d**2/d))/(d**1)**(-44)*((d**(3/2)*d*d)/(d/d**0*d))/(d*d**(2/13)*d**(3/7)) assuming d is positive. d**(8721/182) Simplify (d**(-12)/d**(2/9)*d*d*d**23*d*d/((d*d*d**(-33))/d))**29 assuming d is positive. d**(12209/9) Simplify ((((((n*n**(-1))/n*n*n)/n)/n*n**(3/20))**(-2/23))**(36/7))**(-27) assuming n is positive. n**(-8262/805) Simplify (((((x**(5/7)/x)/x)/x**16)**(-23))**(-32))**(-44) assuming x is positive. x**(3918464/7) Simplify ((u*(u/(u/(u*(u/(u*u**(2/3)))/u*u*u*u*u))*u)/u)**(2/3))**26*(((u/(u*u/(u*u*u/u**2)))/u)/(u/(u**(-8)/u)))**(-35) assuming u is positive. u**(4141/9) Simplify ((h/(h/(h/(h/h**15))))/(h/((h**(3/2)/h)/h))*(h**28/h)/(h*(h**16*h)/h*h*h))**(-31) assuming h is positive. h**(-1333/2) Simplify ((u/(u/(u/((u**(-3/2)/u*u)/u)))*u*u)/u**(-2)*((u*u**(-1/50)*u)/u)/u**(3/16))**(-22/5) assuming u is positive. u**(-36487/1000) Simplify ((s/(s/(s/(s**(2/3)/s*s))))**34*s**(-6)*s*s/((s**(1/9)/s)/s))/((s/(s/s**(-2/13)*s))**10)**(-23) assuming s is positive. s**(-29971/117) Simplify (n**(-19))**(2/33)*((n*n**9)/n*n)/(n/(n/(n**29*n))*n) assuming n is positive. n**(-731/33) Simplify ((i**(-5)/((i/(i**(-18)/i))/i))/((i*i**(-7))/(i/i**7)))**(-1/24) assuming i is positive. i Simplify (w**(-2/5)/(w*w**(1/10)*w))**(-5)/((w*w**2/w)**(-12/13))**37 assuming w is positive. w**(2101/26) Simplify ((p*p**(-1/5))**(-12/11)/((p*p**(-2))/p*p*p**7))/((p/(p**0*p*p*p))**24*p**(-2/13)*p/p**(5/2)) assuming p is positive. p**(61177/1430) Simplify (q**(-12)*q*q*(q**(-9)/q)/q)**(-8/13)/(((q/((q/(q*q*q/(q**(2/3)/q)))/q))/q)**(-49))**3 assuming q is positive. q**(6538/13) Simplify (f*f**34*f*f)**33*(f/(f/(f*(f/(f*f**(-26)*f))/f))*f)/(f*(f**37*f*f*f*f)/f) assuming f is positive. f**1206 Simplify ((r*(r**(1/2)/r)/r*r)**(2/7)/(r**(-1/3)*r*r**(-20)))**28 assuming r is positive. r**(1636/3) Simplify (m**(4/7)/(m**15/m)*(m/(m/((m**(-4/11)/m)/m)))/m**(2/11))**(-38) assuming m is positive. m**(46740/77) Simplify ((a**10/a**14)/(a*a*a*a**(-8)*a*a*a*a*a*((a/a**(-7))/a)/a*a*a*a))**(-2/119) assuming a is positive. a**(26/119) Simplify ((i/(i*i/(i**(-3/4)*i))*i*i**(-1/6))/((i/(i*i**2)*i)/(i*i**5)))/(i**(-7)/((i*i**10)/i))**(-1/44) assuming i is positive. i**(221/33) Simplify (((p**(2/7))**(5/18)/((p*p*(p**(-1/9)/p)/p)/(p/((p/(p*p**(-2)))/p*p))))**30)**(13/5) assuming p is positive. p**(-442/7) Simplify (f**(3/19)/f)**35/(f/f**22*f*f*f**(-6)) assuming f is positive. f**(-85/19) Simplify (((m**(-2/35)*m)/m)/m**(-6))**(-2)*(m*m**4*m**(3/8))**(20/7) a
{ "pile_set_name": "DM Mathematics" }
s*j(c) - 7*p(c)? -c**2 + 2 Let x(y) = -y - 3. Let q(n) = -18. Calculate -3*q(j) + 18*x(j). -18*j Suppose 2*h - 2*g + 7*g - 3 = 0, 2*h + 5 = 3*g. Let d(o) = -o**3 + o**2. Let v(w) = 4*w**3 - 2*w**2 - 4*w. What is h*v(k) - 2*d(k)? -2*k**3 + 4*k Let n(u) = -u**2 - u. Let x(v) = 8*v**2 - 5*v. Let i(k) = -n(k) + x(k). Let l(z) = 14*z**2 - 6*z. What is 8*i(h) - 5*l(h)? 2*h**2 - 2*h Suppose -5*v - 16 = 4*j + 1, -4*v = -2*j + 24. Let n(f) = -2*f - 9. Let q(i) = -1. Let w(o) = -n(o) + 6*q(o). Let r(t) = 4*t + 7. Calculate v*w(p) + 2*r(p). -2*p - 1 Let r(z) = 6*z**2 + 7*z - 6. Let w(v) = -5*v**2 - 6*v + 5. Determine -6*r(s) - 7*w(s). -s**2 + 1 Let u(b) = -3*b**3 - 5*b**2 - 2. Let x(y) = -2*y**3 - 3*y**2 - 1. Give -5*u(w) + 8*x(w). -w**3 + w**2 + 2 Let m(p) = -8*p**2 - 3*p + 9. Let h(d) = -d**2 - d + 1. Determine 5*h(i) - m(i). 3*i**2 - 2*i - 4 Let t(l) = -4*l**2 - 3*l + 3. Let i = 34 + -20. Let x(r) = 2*r + 3*r**2 - 9 + i - 7. What is 2*t(w) + 3*x(w)? w**2 Suppose -15 = 10*y + 35. Let b(r) = 10*r**3 - 7*r**2 - 7*r - 13. Let s(m) = m + 2*m**3 - 9 + 5*m**3 - 5*m**2 - 6*m. Determine y*b(k) + 7*s(k). -k**3 + 2 Let t(o) = 7*o - 4. Let c(y) be the first derivative of -10*y**2 + 11*y + 5. Give -4*c(d) - 11*t(d). 3*d Let g(m) be the third derivative of m**6/120 + m**5/10 - m**4/6 + 2*m**3/3 - 22*m**2. Let z(j) = 2*j**3 + 13*j**2 - 9*j + 9. What is 9*g(c) - 4*z(c)? c**3 + 2*c**2 Let b(l) = -7. Let s(o) = 1 - 3 - 9. Let f(j) = -8*b(j) + 5*s(j). Let d(h) = -h**2 + h + 5. Give d(a) - 5*f(a). -a**2 + a Suppose 8*q - 25 - 23 = 0. Let y(v) be the third derivative of v**5/60 - v**2. Let g(s) be the second derivative of 7*s**4/12 + s**3/3 - s. Give q*y(p) - g(p). -p**2 - 2*p Let t(r) = -3*r**2 - 3*r - 1. Let a(s) = -3*s**2 - 2*s. Let g = 131 - 129. Give g*t(n) - 3*a(n). 3*n**2 - 2 Let t(z) = -6*z**2 + 2*z + 5. Let s(h) = 0 - 1 + 5*h**2 - 2*h - 3. Let v be 21/(-6) - (-8)/(-16). Calculate v*s(j) - 3*t(j). -2*j**2 + 2*j + 1 Let r(a) = -a**3 + a**2 + a - 1. Let o(v) = 11*v**3 - 2*v**2 - 2*v + 2. Calculate 3*o(k) + 6*r(k). 27*k**3 Let j(y) = -y - 2. Let v(h) = -1. Let g(x) = -x**2 + 8*x + 9. Let f be g(10). Let o = 9 + f. What is o*j(w) + 2*v(w)? 2*w + 2 Let a(p) = -p - 1. Suppose 26 = -3*y + 2*u - 6*u, 24 = -5*y + 3*u. Let t be (7/(14/4))/2. Let l(h) = -h**3 - 7*h - 8. What is t*l(k) + y*a(k)? -k**3 - k - 2 Let g = 16 + -11. Suppose 4*z - c - 13 = -g, -c = -3*z + 7. Let p(k) = 4*k**3 - 6*k**2 + 5*k + 4. Let l(h) = h**3 - h**2 + h + 1. Give z*p(d) - 5*l(d). -d**3 - d**2 - 1 Let i(f) = -f + 3. Let h(x) = x - 1 - 3*x + 3*x + 0. Determine 2*h(d) + i(d). d + 1 Let f(l) = 105*l**3 + 40*l**2 + 40*l. Let p(r) = 3*r**2 + 6*r**3 - 13*r + 2*r**3 + 16*r. Calculate 3*f(i) - 40*p(i). -5*i**3 Let c(i) = -6*i**2 + 3*i - 3. Suppose 4*v = x - 28 + 9, 2*v = -2*x - 2. Let t(l) = 13*l**2 - 7*l + 7. Give x*t(y) + 7*c(y). -3*y**2 Let q(o) be the third derivative of 0*o + 0 - 1/12*o**5 - 3/2*o**3 + 1/8*o**4 + 6*o**2. Let a(l) = -3*l**2 + 2*l - 5. Calculate -7*a(j) + 4*q(j). j**2 - 2*j - 1 Let n(l) = -14*l + 11. Let d(c) be the first derivative of -5*c**2/2 + 4*c + 1. Let t(r) = -2*r + 1. Let j = -1 + 3. Let u be t(j). What is u*n(g) + 8*d(g)? 2*g - 1 Let y(q) = -2*q**2 + 5*q - 6. Let s(f) = 1. Give -6*s(d) - y(d). 2*d**2 - 5*d Let q(n) be the second derivative of -n**5/5 - n**4/3 + n**2/2 + 13*n. Let r(j) = j**3 + j**2. Calculate q(d) + 3*r(d). -d**3 - d**2 + 1 Let j be -2 - 13 - 10/(-5). Let l = -8 - j. Let p(i) = 3*i**3 - 3*i**2 + 2*i + 5. Let m(o) = -8*o**3 + 8*o**2 - 6*o - 14. Determine l*m(y) + 14*p(y). 2*y**3 - 2*y**2 - 2*y Let v(i) = -2*i - 1. Let a(q) = 4*q + 1. Give -6*a(u) - 13*v(u). 2*u + 7 Let q(w) = -w**2 + 6*w + 3. Let z(t) = 4*t**2 - 18*t - 10. Determine -7*q(h) - 2*z(h). -h**2 - 6*h - 1 Let t(w) = 2*w**3 - 12*w**2 + 10*w - 8. Let q(k) = -k**2 + k - 1. Suppose -2 = 2*l - 6. Suppose -5*p - 30 = -l*p. Determine p*q(o) + t(o). 2*o**3 - 2*o**2 + 2 Let i(z) = -z**2 + 7*z + 1. Let u(m) = -m**2 + 1. Calculate i(h) - 2*u(h). h**2 + 7*h - 1 Let r(s) = 0*s + 6 + s**2 - 6*s - 4*s**2. Let v(g) = g - 1. Calculate r(t) + 6*v(t). -3*t**2 Let y(a) = -5*a + 2. Let k(h) = 9*h - 2. Let d(p) = -1. Let q(n) = -3*d(n) - k(n). Let t(w) = -2*q(w) + 5*y(w). Let u(x) = 13*x. Give -11*t(g) - 6*u(g). -g Let u be 0 + (2 - -6) + -1. Let f(w) = -3*w - u + 14 + 6*w. Let z(i) = -4*i - 10. Calculate 7*f(d) + 5*z(d). d - 1 Let k(s) = 13*s - 7. Let u(y) = 14*y - 6. Let i(f) = 5*k(f) - 4*u(f). Let n(b) be the first derivative of 4 - 5/2*b**2 + 6*b. Calculate 6*i(z) + 11*n(z). -z Let k(a) = 5*a + 1. Let y(i) = -7*i - 1 - 1 + 1 + i. Calculate -4*k(m) - 3*y(m). -2*m - 1 Let x(p) = -6*p + 2. Let r(g) = -17*g + 6. Let h(d) = -3*r(d) + 8*x(d). Let a(c) = c - 1. Determine 2*a(y) - h(y). -y Let a(s) = 3*s - 2. Let x(z) = -1. Let u(f) = -f + 2*f - 2*f. Let o be u(1). Determine o*a(k) + 2*x(k). -3*k Let f(g) = 32*g - 6. Let x(o) = -1183*o + 221. Give 221*f(z) + 6*x(z). -26*z Let u = -3 + -4. Let c(w) = -2*w + 5. Suppose 5*g = -48 - 47. Let n = g + 22. Let r(i) = -i + 2. What is n*c(o) + u*r(o)? o + 1 Let f(w) = -w**3 + 3*w**2 - 31*w - 3. Let u(n) = n**3 - 4*n**2 + 30*n + 4. Calculate -4*f(s) - 3*u(s). s**3 + 34*s Suppose -2*n + 8 = 2*l, 2*n + 5*l - 20 = 3. Let g be 2 - (n + 3 - -5). Let k(h) = -4*h**2 + 4*h - 7. Let v(j) = 3*j**2 - 3*j + 6. Give g*k(p) - 6*v(p). 2*p**2 - 2*p - 1 Let i(g) be the second derivative of 0 + 5/6*g**3 + 1/2*g**2 - 5*g. Let a(j) = 6*j + 6. Let q(b) = 1. Let z(r) = -a(r) + 5*q(r). Determine 7*i(x) + 6*z(x). -x + 1 Let k(t) = -2*t**2 - 2*t + 1. Suppose p + 6 = 1. Let x(j) = -2*j**2 - 2*j + 1. Let g(a) = -a**2 - 6*a - 3. Let r be g(-3). Calculate p*x(l) + r*k(l). -2*l**2 - 2*l + 1 Let o(q) be the first derivative of q**3 - 2*q**2 + q - 3. Let n(h) be the first derivative of o(h). Let k(j) = -7*j + 5. Determine 4*k(s) + 5*n(s). 2*s Let f(u) = 6*u + 5. Let b(w) = -w - 1. Let i(c) = -c**3 + 4*c**2 + 4*c - 22. Let s be i(3). Determine s*f(g) - 5*b(g). -g Let b be -1 + (2 - 5) + 10. Let j(p) = p**3 + 7*p**2 - 2*p - 7. Let x(c) = c**3 + 6*c**2 - 2*c - 6. Give b*j(v) - 7*x(v). -v**3 + 2*v Let w be (-1 + 3 - 4) + 119/17. Let a(b) = b**2 - 9*b. Let g(z) = -5*z. Calculate w*g(h) - 3*a(h). -3*h**2 + 2*h Let o(m) = -14*m**3 + 6*m**2 - 7*m + 6. Let k(q) = 13*q**3 - 5*q**2 + 6*q - 5. What is -6*k(h) - 5*o(h)? -8*h**3 - h Let i(b) = -5*b - 4. Let k be 21/6 + 2/4. Let n(r) = -2 + 6*r + 0 + 1 + 6. Give k*i(q) + 3*n(q). -2*q - 1 Suppose -3*y = 5 + 13. Let h(u) = -4*u**2. Let l(q) = 3*q**2. What is y*l(x) - 4*h(x)? -2*x**2 Let p(c) = 13*c + 8. Let b(k) = k + 1. What is 6*b(h) - p(h)? -7*h - 2 Let k(d) = -5*d**2 + 3*d. Suppose -3*i + 5*i = 10. Let u(l) = 9*l**2 - 5*l. Suppose j = 5*j - 12. Calculate i*k(y) + j*u(y). 2*y**2 Let u(f) = -7*f + 2. Let d(g) = 41*g - 10. Suppose y = -0*y - 11. Let a(z) = 0*z + 1 + 1 - 8*z. Let c(h) = y*a(h) - 2*d(h). Calculate -6*c(k) - 5*u(k). -k + 2 Let s(l) = -l**3 + 7*l**2 - 8*l - 9. Let a(j) = j**3 - 6*j**2 + 7*j + 8. Determine -7*a(z) - 6*s(z). -z**3 - z - 2 Let n(g) = -g**2 + 3*g + 2. Let t(s) = 2*s**2 - 9*s - 5. Suppose -4*m = -m - 24. Determine m*n(z) + 3*t(z). -2*z**2 - 3*z + 1 Let h(d) = 1. Let s(l) = -l + 3. Suppose -4*b + 9 = -x, -2*x + 0*b = -3*b + 3. Suppose x*a = 9, 0 = 5*u + a - 0 - 8. Calculate u*s(g) - 3*h(g). -g Let z(g) = 7*g. Let n(k) = 15*k. Let t(a) = -4*n(a) + 9*z(a). Let h = -67 - -63. Let w(s) = -s. Let m(x) = 6*x + 4. Let v be m(-3). Determine h*t(c) + v*w(c). 2*c Suppose -138 = 11*b - 28. Let n(w) = -3*w**2 + 3*w - 3. Let s(i) = 3 + i + 4*i**2 - 5*i**2 - 4. Give b*s(a) + 4*n(a). -2*a**2 + 2*a - 2 Let g(q) = -3*q**2 + 10*q + 6. Let s(b) = -8*b**2 + 29*b + 17. What is 11*g(d) - 4*s(d)? -d**2 - 6*d - 2 Let f(t) = -3 - 2*t**3 + 92*t - 96*t - 3*t**3 + t**2. Let c(o) = 14*o**3 - 3*o**2 + 11*o + 8. Give -3*c(x) - 8*f(x). -2*x**3 + x**2 - x Let c(h) = -4*h - 7. Let w(i) be the second derivative of i**3/6 + i**2/2 - 2*i. Suppose 0 = 6*v - 5 - 1. What is v*c(p) + 6*w(p)? 2*p - 1 Let g = 1 + -2. Let t(x) = -x**3 - 4*x**2 + 6. Let f = 2 + -2. Let s(b) = 4 - b**2 - 3 + f*b**2. What is g*t(n) + 4*s(n)? n**3 - 2 Let y(s) = 6*s + 3. Let t(j) = -j + 1. What is -5*t(v) - y(v)? -v - 8 Let n(w) = 3*w**2 + 7*w + 3. Let k(b) = b**2 + 3*b + 1. Let f be 54/(-8) + (-2)/8. Calculate f*k(l)
{ "pile_set_name": "DM Mathematics" }
11. Let r = 32 + x. Let a be 2 - (144/(-15))/(-4). What is the nearest to 1/3 in r, a, 2/19? 2/19 Let n = -4/57 + 199/399. Let m = 4/21 - 2/35. Which is the closest to 0? (a) -1/3 (b) m (c) n b Let f be (-2)/((-8)/18) - (0 - -4). Let n be 2*4/((-128)/(-6)). Let d = -77 + 691/9. Which is the nearest to f? (a) d (b) 2 (c) n c Let k = -3 + 20. Let z = k + -15. Suppose -d - 24 = 4*m, 0 = z*m - 3*d + 3 - 5. What is the closest to 1 in -3, m, 4? 4 Let k = 47.21 + -0.21. Let i = -46.7 + k. Which is the nearest to -1/2? (a) 3 (b) 2 (c) i c Suppose 13*k + 6 + 20 = 0. What is the nearest to 1 in -20/7, k, 0? 0 Let k(r) = -4*r + 30. Let u be k(8). Which is the nearest to 0.2? (a) 13 (b) -2/5 (c) u b Let f = 7 + -7.5. Let p = -17 + 3. Let v = p + 14.4. Which is the closest to -3? (a) v (b) f (c) 2 b Let d = 713 - 712.99. What is the nearest to -1/4 in 4, d, 0.3, -0.4? -0.4 Let t = 21 - 28. Let d be (t/147)/(2/(-12)). Let a = 2 - 4. What is the closest to a in -5, d, 0? 0 Let u = 3.2 - 4.5. Let p = -1.6 - u. Let o = 0 - p. Which is the nearest to -0.2? (a) -3 (b) 2/3 (c) o c Let o = -0.946 + -0.054. Suppose -5*s + 3*w = w - 14, w = s - 4. Let g = -8 + 3. What is the nearest to g in -5, o, s? -5 Suppose -q + 2 = -3*h, 1 = -2*h - 3. Let k = -1.9 - -2. Let f = -219 - -218. What is the closest to -1/2 in f, k, q? f Let m = 0.71 + -4.71. Which is the nearest to -1? (a) m (b) -0.8 (c) -3 (d) -1/3 b Let m = -3.01 - -2.9. Let f = m + -1.89. Which is the nearest to 0? (a) -1/10 (b) -5 (c) f a Suppose 2*p - 27*p + 25 = 0. Let k = 0.26 + -0.17. What is the closest to p in 1, k, -3? 1 Suppose -20 + 54 = 17*y. What is the nearest to 1 in y, 0.17, -2? 0.17 Let o = 0.6 - 0.9. Let q = 0 - o. What is the nearest to -2 in q, -4, -1? -1 Let d be 26/(-42) + (-4)/(-14). Let r be 531/(-708) - (0 + (-1)/12). Which is the closest to 1? (a) -2/11 (b) d (c) r a Let j = 96/7 - 295/21. Which is the closest to j? (a) -5 (b) 2/5 (c) -1 (d) 5 c Let k = 1.8 + -2.06. Let r = k - 0.74. Let c = 21 + -20. What is the nearest to r in -0.7, c, 0.3? -0.7 Let d = 1082/9 - 120. Let o be ((-2)/24)/(1/(-2)). Let n be (1/3)/(2/(-6)). What is the closest to n in 4, d, o? o Suppose 0 = -10*v + 5 + 45. Suppose 5*w = v*o + 50, -o = -4*w - 5*o. What is the nearest to 1 in -1/2, 0, w? 0 Let y = 4 - 4. Let o = -30.7 - -35.7. What is the nearest to y in -1, -0.5, o? -0.5 Suppose 0 = -4*i + 3*d - 51, -5*i = d + 4*d + 90. Let o be (6/4)/((-9)/12). Let p be -4 + i/(-6) - o. Which is the closest to 0? (a) p (b) 5 (c) -2/7 c Let s = 116 - 124. What is the closest to 0 in -3, 2, s? 2 Let h be ((-33)/(-198))/(4/6). Which is the nearest to -0.1? (a) 2 (b) -3/4 (c) h (d) -7 c Let r(t) = 30*t - 206. Let v be r(7). Let k = 116/91 + -11/13. What is the nearest to -0.1 in v, 0.06, k? 0.06 Let y be (1 - 0)/(-7 + 2). Let m = 22 + -21.8. Let h = -2 + 2.4. Which is the closest to m? (a) h (b) 0.3 (c) y b Let r = -11.3 - -2.2. Let t = 9 + r. Suppose -5*d + 6 = -4*q, -4*d + q + 3 = -4. What is the nearest to 2/5 in t, 1/5, d? 1/5 Let g = 19 - 16.5. Let l = g - 2.9. Let k = 0.76 - -0.24. Which is the closest to k? (a) 4 (b) l (c) -5 b Let s = -49.8 - -46. Let c = 4 + s. Let f = -1.95 + -0.05. What is the nearest to f in -2/5, c, -3? -3 Let o = -39762 + 439012/11. Let q = -148 + o. Let x = -131 + 388/3. Which is the closest to -1/2? (a) -2/3 (b) x (c) q a Let c be (5/15)/(-1 - (-9)/6). Let v = 15.36 - 0.36. Let s = -11 + v. What is the closest to s in -5, c, 2/9? c Let p = -187 + 933/5. Which is the closest to 1? (a) 0.3 (b) 0.6 (c) 0 (d) p b Let z = -30 + 35. Let t = 5 - z. Which is the closest to 1? (a) -0.1 (b) -3 (c) t c Let t = -3/20 + -1/10. Let d be -23 - -20 - 4/(-1). What is the closest to d in -2/11, 3, t? -2/11 Let f = -5.36 - -5.56. What is the nearest to 2/9 in -3/8, -1, f, -5/3? f Let f = -1247 - -1247.3. Which is the nearest to 2? (a) -1 (b) -0.4 (c) f (d) -0.1 c Let o(f) = f + 7. Let x be o(-2). Let j = 23/48 - -3/16. Which is the closest to 1? (a) x (b) 4 (c) j c Let h = -1981 + 7923/4. Let r = -683/1155 - 2/231. Let w be -2 - (-2)/((-16)/(-18)). What is the nearest to w in 1/3, h, r? 1/3 Let q be (-2)/10 - (-1)/5. Suppose r - 3*d = -q*r - 6, -3*d = 15. Let x = -19 - r. What is the closest to -2 in 0, x, -2/3? -2/3 Let p = -14641/17 + 861. Which is the closest to -2/7? (a) -0.4 (b) -3 (c) 1 (d) p d Let h = 1.18 + -0.18. Let z = 0.03 - 0.13. What is the nearest to 3/5 in z, h, -3/5? h Let s be (-1)/(-4) - 7/42. Let q = -0.112 + 0.012. What is the nearest to q in 0.4, -1/6, s? -1/6 Let k = 3 - -1. Let l = k - 3.9. Let o = 27/116 - -1/58. What is the nearest to o in 0.3, l, -3? 0.3 Let z = -19486/21 + 928. Which is the nearest to 1/2? (a) z (b) 0.4 (c) -11.9 (d) 5 b Let o = -206/595 + 8/35. What is the nearest to 0.5 in 1, -1/4, o? 1 Suppose 3*c = a + 2 - 0, 4*a + 1 = 5*c. Let u = -3.7 - -4. What is the nearest to a in 3, 2/13, u? u Suppose -2*h + 112 = 2*u + 14, 2*u = 5*h + 84. What is the closest to -2 in u, -1, 3/5, 2? -1 Let g = -172 + 508/3. What is the closest to g in -3, -5, -1.8? -3 Let q(f) = 2*f**3 + 11*f**2 - 4*f - 2. Let w be q(-6). Let v be (-4)/w - (1 + -1). Which is the closest to v? (a) 1/5 (b) -5 (c) -2 a Let h be (-15)/(-9)*(-2)/5. Let b = -119.6 - -121.6. What is the nearest to h in 0, -3, b? 0 Let o be 18/(-21) - (-9)/(-693)*11. Let y = 4.1 - 0.1. Which is the nearest to -1? (a) y (b) 1 (c) o c Let u = -13 - -18. Suppose 0 = -4*h - 8, 0 = -5*c + u*h - 0*h. Let m be (((-1)/(-1))/12)/(21/28). What is the closest to c in 2/5, m, 4? m Let h(y) = -2*y**2 + 3*y + 76. Let o be h(7). Which is the nearest to -2/7? (a) 5 (b) 3 (c) 16 (d) o d Let y(k) be the third derivative of -k**5/60 - 7*k**4/24 - 2*k**3/3 + 4*k**2. Let z be y(-6). Let s = -1 + 1.3. What is the nearest to s in 1, 3, z? 1 Let m(o) = o**2 + 7*o - 6. Let q be m(-8). Suppose z - q*z = 0. Let w be 1*(z - 4/12). Which is the nearest to 0.1? (a) 0 (b) -2/5 (c) w a Let i = 994 + -990. Which is the nearest to -1/3? (a) i (b) -1/13 (c) -0.3 c Let c = 160 - 159. What is the closest to 9 in -2/9, -1/4, 5, c? 5 Let x = 503/6 - 84. Let h = -26.722 + 0.022. Let z = -27 - h. What is the nearest to 1 in z, -0.4, x? x Let v = 105/1363 - 186513/1784167. Let x = v + -16/77. What is the closest to x in -1/5, -5, 4? -1/5 Let y = -62 - -37.1. Let x = -25 - y. Which is the nearest to 1/3? (a) x (b) 0 (c) 1 b Let s = 0.471 - 0.771. Which is the nearest to 0? (a) 0.1 (b) s (c) 4/11 a Let l = 19 + -25. Let i(d) = d**3 + 7*d**2 + 7*d + 8. Let k be i(l). Suppose 2*z = 3*z - k. Which is the closest to -4? (a) z (b) -0.5 (c) 1/8 b Let c = 22 + -24. Let o = -339 - -338. What is the nearest to 1/2 in c, o, 0.4? 0.4 Let s = 501 + -500. Let r = 0 + -0.2. Let u = r + 0.2. Which is the closest to s? (a) 0.5 (b) -1/4 (c) u a Let i = 5.5 - 0.5. Let d be (3 - 49/14) + (-6)/(-4). Let w = d + -3. What is the nearest to -1/4 in -0.1, i, w? -0.1 Let w = -0.06 + 0.09. Let f = -305 - -306. Let c = -473/5 - -95. What is the closest to f in w, c, -3? c Let f = -148/5 - -1111/35. Which is the closest to -0.1? (a) -3/2 (b) 2/5 (c) f (d) 0.5 b Let y = 16.16 + -15.7. Which is the nearest to 3/7? (a) -3 (b) 3/5 (c) y c Let s(w) = -4*w - 4. Let l be s(-7). Let u be (3/7)/(l/42). Let z = -17/12 + u. Which is the nearest to z? (a) 1 (b) -2/3 (c) -3 b Let p = 0.0099 - 29.9099. Let n = 30.1 + p. Let g = -5 - -5.4. Which is the nearest to n? (a) -3 (b) -4 (c) g c Let n = 28.094 - 28. Let b = -17.606 - n. Let f = b - -18. What is the closest to f in 0.4, 0, -0.1? 0.4 Let n = -0.6 + 4.6. Let s = 1.4 - 1.9. Let u = 0.023 - -0.077. Which is the nearest to u? (a) 1/4 (b) n (c) s a Let p = -0.26 - 0.14. Let q = 8.8 - 14.8. What is the closest to 0 in p, q, 0? 0 Let p = 50/9 - 6. Let y = -2 - 2. Which is the nearest to p? (a) y (b) -0.5 (c) -2/11 b Let o = 46/3 - 140/9. Let l be 6*(0 - (-15)/21). Let m = -141/28 + l. Which is the closest to -2/7? (a) o (b) m (c) -3/7 a Let l = -38 - -34. Let p = 2 + -2.5. Let y = -0.14 + 0.24. What is the nearest to y in l, p, 1/7? 1/7 Let y = 126/31 - 1010/279. What is the closest to -2.3 in y, 2/11, 2? 2/11 Let x = -56.86 - -76.7. Let m = -0
{ "pile_set_name": "DM Mathematics" }
nd the second derivative of -2*s**5 + 697*s**4*y + 2*s*y + 5*y + 43 wrt s. -40*s**3 + 8364*s**2*y What is the derivative of 58*p**3 + 124? 174*p**2 Find the second derivative of 192*o**4*w**2 + 3*o**3*w**2 - 13*o*w**2 + 3*o + w**2 wrt o. 2304*o**2*w**2 + 18*o*w**2 Differentiate s**2 - 30*s + 28. 2*s - 30 What is the second derivative of 8481*f*x**2 + f*x + 30*f + 3*x wrt x? 16962*f Find the first derivative of -489*l**3*n*x**2*z - 14*l**3*n*x**2 - 28*l*n**2 + 2*n**2*z + n*x**2 wrt z. -489*l**3*n*x**2 + 2*n**2 What is the second derivative of 3*r**4 + 6*r**3 + 534*r? 36*r**2 + 36*r What is the derivative of 2546*h - 6634 wrt h? 2546 Find the third derivative of 106*n**4 - 5*n**2 - 27 wrt n. 2544*n What is the second derivative of -990*n**2*v**2 - 4*n*v**2 + 2*n + 146*v**2 wrt n? -1980*v**2 What is the third derivative of -1169*j**3 - 1198*j**2 wrt j? -7014 What is the second derivative of -3*a**4 - 164*a**2 - 45*a? -36*a**2 - 328 Find the second derivative of -5*a*f*r**2 - 3*a*f*r - a*r + 5*f**2*r**2 - 8*f**2 - f wrt r. -10*a*f + 10*f**2 Find the second derivative of -j**5 + 17*j**2*r - 15*j*r - 17*j wrt j. -20*j**3 + 34*r Find the second derivative of 10950*y**5 + 8*y + 390. 219000*y**3 What is the derivative of -109*k**3*r + 78*k**3 + 3*k**2*r wrt r? -109*k**3 + 3*k**2 What is the first derivative of 154*g + 141 wrt g? 154 Find the second derivative of -5*i**2*p - 397*i**2*y**2 + p**2*y**2 - p**2 - 53*y wrt y. -794*i**2 + 2*p**2 Find the third derivative of 14*d**6*f + 7*d**4*f**3 - d**3 - 721*d**2*f**2 - f**3 wrt d. 1680*d**3*f + 168*d*f**3 - 6 Find the second derivative of 6*r**2*t**4 + r**2*t**2 - r**2 - 76*r*t + 15*t**3 wrt t. 72*r**2*t**2 + 2*r**2 + 90*t Find the second derivative of 219*s**4 + 102*s wrt s. 2628*s**2 Find the third derivative of -m**5 + 1774*m**4 - 9601*m**2 + m. -60*m**2 + 42576*m What is the second derivative of d**3*z**2 + d**3 - 964*d**2*z + 2*d*z + 1556*z**2 wrt z? 2*d**3 + 3112 Find the second derivative of 187*i**3 - 4*i**2 - 4*i - 17. 1122*i - 8 Find the third derivative of 2*f**3*j**3*x + 13*f**3*j**2 + 2*f**3*j*x + 4*f**2*j**3*x + 2*f*j**3 - 2*f*j**2 - 4*f*j*x wrt f. 12*j**3*x + 78*j**2 + 12*j*x Find the third derivative of 288*g**4 - 7*g**3*l**3 + 16*g**2*l**2 + 66*g*l**3 wrt g. 6912*g - 42*l**3 What is the third derivative of 932*i**3 - i**2 + 2*i + 158 wrt i? 5592 What is the second derivative of 56*d*n**2*y**2 - d*n**2 + 2*d*n*y**2 + 9*d + 6*n*y + n wrt n? 112*d*y**2 - 2*d Find the third derivative of -2*g**6 - 11762*g**5 + g**3 - 31626*g**2 wrt g. -240*g**3 - 705720*g**2 + 6 Find the second derivative of o**4 - 14*o**3 - 97*o wrt o. 12*o**2 - 84*o What is the second derivative of -6637*p**2 + 2*p + 1346 wrt p? -13274 What is the third derivative of -221*z**5 - 10*z**2 - 7 wrt z? -13260*z**2 Find the third derivative of 10*i*o**5*q + 13*i*o**2 - 2*i*q**2 + 4*i - 35*o**3*q**2 - 5*o*q**2 wrt o. 600*i*o**2*q - 210*q**2 Find the first derivative of 1451*f + 544 wrt f. 1451 Differentiate 2*t**2*y - t**2 - 21*t*y + 93*y wrt t. 4*t*y - 2*t - 21*y Differentiate -14764*u**2 - 15182 with respect to u. -29528*u What is the second derivative of 215*o**4 + 86*o + 1? 2580*o**2 What is the derivative of 204*k**2 + 46? 408*k What is the first derivative of -174*b**3 - 418 wrt b? -522*b**2 What is the third derivative of -100*m**4*v**3 - 7*m**4 + m**3*v**2 - 11*m**2*v**3 - 22*m**2*v**2 - 2*m*v**3 - 2 wrt m? -2400*m*v**3 - 168*m + 6*v**2 Find the second derivative of 14*b**4 - 71*b**3 + 2392*b wrt b. 168*b**2 - 426*b Find the first derivative of 4*c + 175. 4 Find the third derivative of -2*h**6 - 125*h**5 - 2*h**3*w + 7*h**2 + 2*h*w + 2 wrt h. -240*h**3 - 7500*h**2 - 12*w Find the third derivative of 22*g**2*q*t - 1303*g**2*t**3 - 3*g*q**2*t**3 - g*q*t**2 + 10*q**2 wrt t. -7818*g**2 - 18*g*q**2 Differentiate -a**4 + 241*a + 488 wrt a. -4*a**3 + 241 What is the second derivative of -2122*g**2 - g + 4? -4244 What is the first derivative of 115*u**3*v + 4*u**2*v - 833*v wrt u? 345*u**2*v + 8*u*v Differentiate -2*l**3 - l + 29 wrt l. -6*l**2 - 1 Find the third derivative of 4*k**4 + 145*k**3 + 976*k**2 wrt k. 96*k + 870 Differentiate -126*r**4*y**2 - r**3*y**2 - 1154*y**2 wrt r. -504*r**3*y**2 - 3*r**2*y**2 What is the third derivative of -168*d**3*j**3 + 7*d**3*j*u**3 + 2*d**2*j**2*u**3 - 24*d**2*j**2 - 2*j**3*u**3 + j**3*u**2 wrt d? -1008*j**3 + 42*j*u**3 Differentiate 102*g**2*u**2*y + 38*g**2*u**2 - 8*u**2 with respect to y. 102*g**2*u**2 Find the second derivative of -4728*k**2*s**2*z - 8*k**2*s*z - 2*k*s**2*z - 177*k*s*z - k*s wrt s. -9456*k**2*z - 4*k*z Find the second derivative of 8*a**2*b*h**2 + 4*a**2*b*h - 29*a**2 + 36*a*b**2*h**2 + 2*b**2*h wrt h. 16*a**2*b + 72*a*b**2 Find the third derivative of 74*n*r**6 + 2*n*r - 2*r**6 - 78*r**2 wrt r. 8880*n*r**3 - 240*r**3 Find the third derivative of 98*k**3*u + k**3 + 7*k**2*u + 34*u wrt k. 588*u + 6 What is the third derivative of -4*b**3*z**2 + 38*b**3 - 7*b**2*z**2 - 8*b**2*z wrt b? -24*z**2 + 228 What is the first derivative of 120*i*t + 12*i - 2*t**2 - 9 wrt t? 120*i - 4*t Differentiate -14970*n**3*p + 11433*p with respect to n. -44910*n**2*p Differentiate 53*b**2*t*v + 3*b**2*t - 2*b**2 + 2*b*t**2*v + 11*v with respect to t. 53*b**2*v + 3*b**2 + 4*b*t*v Find the second derivative of -8*l**5 + 12*l**3 + 3*l**2 + 2544*l. -160*l**3 + 72*l + 6 Find the second derivative of -477*b**2*w**2*z - 3*b**2*w**2 + 5*b**2*w*z + b**2*w + 9*w - 1 wrt w. -954*b**2*z - 6*b**2 Differentiate 4*o**2 + 424*o + 975 with respect to o. 8*o + 424 Find the second derivative of b*m*u**2 + 4*b*m*u - 62*b*u**2 + b*u + 24 wrt u. 2*b*m - 124*b Find the first derivative of -j**3*z - 315*j**2*z**2 + 398*z**2 wrt j. -3*j**2*z - 630*j*z**2 What is the second derivative of -69*a**3*i**3 - 315*a**3*i + 2*a*i**3 wrt i? -414*a**3*i + 12*a*i Find the third derivative of -374*j**6 + j**3 - 3*j**2 - 84*j. -44880*j**3 + 6 What is the second derivative of 315*k*x**2 - 5*k*x + 5*x + 2 wrt x? 630*k Find the second derivative of 2*j**2*x**2*y + 16*j**2*y**2 - 2*j*x**2*y**2 + 9*j*x*y - 5*x**2*y - x**2 wrt y. 32*j**2 - 4*j*x**2 What is the first derivative of 30*a**3 + 6*a**2 + 98? 90*a**2 + 12*a Find the first derivative of 2*a**2*o**2 + 111*a*o**2 - 2*a*o*s**2 + o**2*s - 178*o*s**2 - 3*s**2 wrt a. 4*a*o**2 + 111*o**2 - 2*o*s**2 What is the derivative of 12151*h - 1500 wrt h? 12151 Find the third derivative of -11*t**3*v**3 + 390*t**3 - 4816*t**2*v**3 - t*v**3 wrt t. -66*v**3 + 2340 What is the third derivative of 2*z**5 + 160*z**4 - 11*z**2 - 1? 120*z**2 + 3840*z What is the third derivative of -21*c**3*r*t**3 + 105*c**3*r - 2*c**2*r*t**3 + c**2*r - 70*c*t**3 - c*t**2 + 2*r wrt c? -126*r*t**3 + 630*r What is the first derivative of -2*u**3 + 19572*u**2 + 15364 wrt u? -6*u**2 + 39144*u Find the third derivative of 270*f**3 + 1249*f**2. 1620 Differentiate -5*c**2*q**2 + 55*c**2 - 3*q**2 + 107 with respect to c. -10*c*q**2 + 110*c What is the second derivative of -9*h**4 + h**3 + 93*h? -108*h**2 + 6*h Find the first derivative of -5585*p**2 - 6423. -11170*p What is the second derivative of 51*g**2*z**3 - 11*g**2*z**2 + 976*g*z**3 - z**3 wrt g? 102*z**3 - 22*z**2 Differentiate -3*v**2 + 202*v + 409 wrt v. -6*v + 202 What is the second derivative of 75*j**3*y**2 - 2*j**3*y + 2*y**4 - y + 30 wrt y? 150*j**3 + 24*y**2 What is the derivative of -328*r**3*x*z**3 - r**3 + 2*r**2*z**2 + r*x*z**3 - 2*z**3 wrt x? -328*r**3*z**3 + r*z**3 What is the second derivative of 2*z**3 + 349*z**2 - 694*z? 12*z + 698 What is the third derivative of 630*c**5*i + 2*c**3*i + c**2 - 2*c*i - 28*i wrt c? 37800*c**2*i + 12*i What is the derivative of 3*z**2 + z + 40 wrt z? 6*z + 1 What is the third derivative of 6*q**5 + q**3 + 34*q**2 + 3 wrt q? 360*q**2 + 6 Find the first derivative of -445*n**3*q*s - n**3 + 16*s wrt q. -445*n**3*s What is the third derivative of 411*a**3 + 2*a**2 - 8 wrt a? 2466 Differentiate -210*v - 836 with respect to v. -210 What is the second derivative of 172*a**4 - 2*a + 133 wrt a? 2064*a**2 What is the third derivative of 5*f**2*p**2*x**3 + 5*f**2*x**3 + 20*f**2*x**2 - 12*f*x**3 + 3*f*x**2 - 2*p**2*x wrt x? 30*f**2*p**2 + 30*f**2 - 72*f Find the second derivative of 562*j**3 + 7*j - 38. 3372*j Find the second der
{ "pile_set_name": "DM Mathematics" }
e q'th term of -16, -9, -2, 5? 7*q - 23 What is the y'th term of -63, -199, -427, -747, -1159? -46*y**2 + 2*y - 19 What is the j'th term of -22, -23, -24? -j - 21 What is the f'th term of 728, 740, 766, 812, 884, 988, 1130? f**3 + f**2 + 2*f + 724 What is the v'th term of 53, 117, 183, 251, 321, 393, 467? v**2 + 61*v - 9 What is the j'th term of -74, -149, -222, -293, -362? j**2 - 78*j + 3 What is the k'th term of 8, 7, -20, -85, -200, -377, -628, -965? -2*k**3 - k**2 + 16*k - 5 What is the k'th term of 49, 107, 263, 565, 1061, 1799, 2827, 4193? 8*k**3 + k**2 - k + 41 What is the f'th term of 38, 35, 20, -13, -70, -157? -f**3 + 4*f + 35 What is the g'th term of 6, 32, 78, 150, 254, 396, 582? g**3 + 4*g**2 + 7*g - 6 What is the c'th term of 113, 104, 95, 86, 77? -9*c + 122 What is the v'th term of -211, -205, -197, -187? v**2 + 3*v - 215 What is the p'th term of -128, -127, -124, -119? p**2 - 2*p - 127 What is the b'th term of 40, 74, 110, 148, 188? b**2 + 31*b + 8 What is the f'th term of -7, -40, -95, -172, -271, -392, -535? -11*f**2 + 4 What is the y'th term of 28, -99, -310, -605, -984, -1447? -42*y**2 - y + 71 What is the j'th term of 25, 66, 145, 280, 489, 790, 1201, 1740? 3*j**3 + j**2 + 17*j + 4 What is the c'th term of 6, -2, -14, -30, -50, -74, -102? -2*c**2 - 2*c + 10 What is the f'th term of -8, -7, 12, 55, 128, 237, 388? f**3 + 3*f**2 - 15*f + 3 What is the j'th term of -1973, -1972, -1959, -1928, -1873, -1788, -1667? j**3 - 6*j - 1968 What is the f'th term of 109, 107, 109, 121, 149, 199, 277? f**3 - 4*f**2 + 3*f + 109 What is the z'th term of 17, 14, 13, 14, 17? z**2 - 6*z + 22 What is the p'th term of -143, -572, -1287, -2288, -3575, -5148, -7007? -143*p**2 What is the f'th term of -381, -1540, -3479, -6204, -9721, -14036, -19155, -25084? -f**3 - 384*f**2 + 4 What is the z'th term of -453, -907, -1363, -1821, -2281? -z**2 - 451*z - 1 What is the l'th term of 890, 891, 892, 893, 894, 895? l + 889 What is the u'th term of -14, -15, -10, 1? 3*u**2 - 10*u - 7 What is the l'th term of -79, -382, -889, -1600, -2515, -3634, -4957? -102*l**2 + 3*l + 20 What is the j'th term of -66, -268, -604, -1074, -1678? -67*j**2 - j + 2 What is the u'th term of -13916, -27832, -41748? -13916*u What is the f'th term of 10, 16, 24, 34? f**2 + 3*f + 6 What is the h'th term of 2866, 2859, 2852, 2845, 2838, 2831? -7*h + 2873 What is the o'th term of -110, -423, -936, -1643, -2538, -3615? o**3 - 106*o**2 - 2*o - 3 What is the g'th term of -175, -154, -133, -112, -91? 21*g - 196 What is the w'th term of -10, -20, -26, -28, -26? 2*w**2 - 16*w + 4 What is the c'th term of -92, -363, -798, -1391, -2136? c**3 - 88*c**2 - 14*c + 9 What is the l'th term of 3, 36, 67, 96, 123? -l**2 + 36*l - 32 What is the y'th term of 151, 158, 161, 154, 131? -y**3 + 4*y**2 + 2*y + 146 What is the t'th term of 10, 16, 20, 22, 22, 20? -t**2 + 9*t + 2 What is the x'th term of -1040, -1043, -1048, -1055? -x**2 - 1039 What is the b'th term of -1226, -1217, -1196, -1157, -1094, -1001, -872, -701? b**3 + 2*b - 1229 What is the h'th term of 18, 216, 426, 654, 906? h**3 + 191*h - 174 What is the i'th term of 858, 859, 860, 861? i + 857 What is the n'th term of 26, 47, 70, 95? n**2 + 18*n + 7 What is the f'th term of -3794, -7590, -11386, -15182? -3796*f + 2 What is the i'th term of -2480, -4958, -7434, -9908, -12380? i**2 - 2481*i What is the p'th term of 157, 167, 199, 265, 377, 547, 787, 1109? 2*p**3 - p**2 - p + 157 What is the q'th term of -616, -614, -612, -610? 2*q - 618 What is the t'th term of 7, 74, 141, 208, 275, 342? 67*t - 60 What is the w'th term of -7, -216, -565, -1054, -1683, -2452? -70*w**2 + w + 62 What is the k'th term of 4627, 4619, 4601, 4567, 4511, 4427, 4309, 4151? -k**3 + k**2 - 4*k + 4631 What is the y'th term of 18, 73, 214, 483, 922, 1573, 2478? 7*y**3 + y**2 + 3*y + 7 What is the s'th term of -814, -1622, -2428, -3232, -4034, -4834, -5632? s**2 - 811*s - 4 What is the y'th term of 82, 83, 74, 49, 2, -73, -182? -y**3 + y**2 + 5*y + 77 What is the z'th term of 783, 785, 787, 789, 791, 793? 2*z + 781 What is the r'th term of 138, 142, 146, 150? 4*r + 134 What is the y'th term of -4, -6, -10, -16, -24, -34, -46? -y**2 + y - 4 What is the l'th term of 130, 136, 146, 160? 2*l**2 + 128 What is the a'th term of -745, -748, -761, -790, -841? -a**3 + a**2 + a - 746 What is the f'th term of -126, -133, -140, -147, -154, -161? -7*f - 119 What is the l'th term of -352, -352, -360, -382, -424, -492, -592? -l**3 + 2*l**2 + l - 354 What is the o'th term of -33081, -33083, -33085, -33087? -2*o - 33079 What is the x'th term of 1759, 1764, 1769, 1774, 1779, 1784? 5*x + 1754 What is the q'th term of 70, 61, 52? -9*q + 79 What is the a'th term of 23, 56, 119, 224, 383? 2*a**3 + 3*a**2 + 10*a + 8 What is the m'th term of -156, -150, -146, -144? -m**2 + 9*m - 164 What is the j'th term of -58, -23, 48, 173, 370, 657, 1052? 3*j**3 + 14*j - 75 What is the d'th term of -1, -7, -21, -49, -97, -171, -277, -421? -d**3 + 2*d**2 - 5*d + 3 What is the y'th term of 15, 39, 79, 141, 231, 355, 519, 729? y**3 + 2*y**2 + 11*y + 1 What is the t'th term of -2, 35, 90, 157, 230? -t**3 + 15*t**2 - t - 15 What is the p'th term of 6, -63, -250, -615, -1218, -2119, -3378, -5055? -10*p**3 + p**2 - 2*p + 17 What is the c'th term of -1, -22, -65, -142, -265? -2*c**3 + c**2 - 10*c + 10 What is the u'th term of -2, 45, 140, 283, 474, 713, 1000? 24*u**2 - 25*u - 1 What is the h'th term of -7, 2, 9, 14, 17, 18, 17? -h**2 + 12*h - 18 What is the y'th term of 352, 354, 356? 2*y + 350 What is the g'th term of 128, 139, 164, 209, 280, 383, 524? g**3 + g**2 + g + 125 What is the y'th term of -50, -58, -68, -80? -y**2 - 5*y - 44 What is the y'th term of 63, 225, 489, 849, 1299, 1833, 2445, 3129? -y**3 + 57*y**2 - 2*y + 9 What is the m'th term of -2, -7, -16, -29, -46, -67? -2*m**2 + m - 1 What is the v'th term of 52, 198, 440, 778, 1212? 48*v**2 + 2*v + 2 What is the p'th term of -12, 8, 42, 96, 176, 288, 438, 632? p**3 + p**2 + 10*p - 24 What is the u'th term of 6285, 6291, 6301, 6315? 2*u**2 + 6283 What is the y'th term of 36, 136, 304, 540, 844? 34*y**2 - 2*y + 4 What is the w'th term of -84, -360, -820, -1464? -92*w**2 + 8 What is the j'th term of -13, -9, 15, 65, 147, 267, 431? j**3 + 4*j**2 - 15*j - 3 What is the m'th term of -51, -107, -163? -56*m + 5 What is the v'th term of -12, -15, -14, -9? 2*v**2 - 9*v - 5 What is the m'th term of 7, 17, 35, 61, 95? 4*m**2 - 2*m + 5 What is the g'th term of -796, -1592, -2374, -3136, -3872, -4576? g**3 + g**2 - 806*g + 8 What is the s'th term of 602, 600, 598, 596, 594, 592? -2*s + 604 What is the b'th term of 299, 287, 267, 239, 203, 159? -4*b**2 + 303 What is the i'th term of 274, 549, 832, 1129, 1446, 1789, 2164, 2577? i**3 - 2*i**2 + 274*i + 1 What is the j'th term of -40, -29, -14, 5? 2*j**2 + 5*j - 47 What is the o'th term of -75, -93, -123, -165, -219? -6*o**2 - 69 What is the b'th term of -34, -226, -546, -994, -1570, -2274, -3106? -64*b**2 + 30 What is the r'th term of -520, -522, -524? -2*r - 518 What is the l'th term of -158, -160, -162? -2*l - 156 What is the o'th term of -211, -424, -649, -892, -1159, -1456? -o**3 - 206*o - 4 What is the t'th term of 111, 113, 115, 117, 119, 121? 2*t + 109 What is the h'th term of 190, 369, 546, 721, 894, 1065, 1234? -h**2 + 182*h + 9 What is the l'th term of -74, -77, -80, -83, -86? -3*l - 71 What is the j'th term of -49, -48, -47, -46, -45, -44? j - 50 What is the s'th term of 14, 24, 40, 62, 90, 124? 3*s**2 + s + 10 What is the j'th term of -7717, -7716, -7715, -7714, -7713, -7712? j - 7718 What is the j'th term of -2, -27, -76, -161, -294, -487, -752? -2*j**3 - 11*j + 11 What is the a'th term of -45, -113, -167, -201, -209, -185, -123, -17? a**3 + a**2 - 78*a + 31 What is the j'th term of -9, -14, -15, -6, 19, 66, 141? j**3 - 4*j**2 - 6 What is the l'th term of 27, 44, 63, 84? l**2 + 14*l + 12 What is the p'th term of 129, 253, 377, 501? 124*p + 5 What is the n'th term of -8915, -17831, -26747? -8916*n + 1 What is the n'th term of -39, -65, -109, -171, -251, -349, -465? -9*n**2 + n - 31 What is the s'th term of 515, 1031, 1547, 2063? 516*s - 1 What is the b'th term of -65, -79, -95, -113, -133, -155? -b**2 - 11*b -
{ "pile_set_name": "DM Mathematics" }
Let s(b) = 12*c(b) + 5*x(b). Let z(w) = w. Give z(s(t)). 10*t + 250 Let x(v) = -2*v + 185. Let t(d) = 223*d**2 - 4*d. Determine t(x(f)). 892*f**2 - 165012*f + 7631435 Let t(w) = -103*w - 2. Let q(l) = -12*l + 273. Let h(m) = -2*m + 42. Let y(s) = -39*h(s) + 6*q(s). Determine t(y(d)). -618*d - 2 Let k(x) = x**2. Let b(m) be the second derivative of 6*m - 199/6*m**3 - 9 + 0*m**2. Calculate k(b(l)). 39601*l**2 Suppose -52 = -3*s + 3*p + 2*p, -3*s + p = -68. Let a(d) = -11*d + 2*d + s*d. Let h(n) = -4*n**2. Determine h(a(o)). -900*o**2 Let h(m) = -2*m**2. Let t(y) = 147*y + 6. Let u(g) = -7838*g + 1241*g - 1724*g - 5936*g - 583. Let o(n) = 583*t(n) + 6*u(n). Give h(o(p)). -50562*p**2 Let q(n) be the second derivative of n**3/2 - n. Let r = -155 + 535. Let l(u) = 7*u**2 + 3*u**2 + 190 + 190 - r. Give q(l(y)). 30*y**2 Let w(a) = -6*a**2. Let z(t) = 10*t - 4. Let n(y) = -2*y**2 + 14*y + 17. Let s be n(8). Let c(l) = -2*l + 1. Let h(g) = s*z(g) + 4*c(g). Calculate h(w(j)). -12*j**2 Let f(k) = 21*k**2. Let g(h) = -403228*h**2. What is f(g(m))? 3414449219664*m**4 Let j(h) = 2*h + 11. Let v(n) = n**2 - n - 2. Let t(x) = 6*x**2 - 4*x - 8. Let u be ((-50)/200)/((-2)/8). Let z(l) = u*t(l) - 4*v(l). Calculate j(z(p)). 4*p**2 + 11 Let g(f) = 6*f. Let m(u) be the second derivative of 13*u**3/6 + 2*u - 36. Calculate m(g(a)). 78*a Let c(i) = i + 2. Let h(a) = -739668*a. What is c(h(p))? -739668*p + 2 Let g(x) = -4*x - 55. Let t(m) = -14*m - 198. Let q(s) = -18*g(s) + 5*t(s). Let r(c) = -999*c. Give q(r(k)). -1998*k Let k(z) = -25552*z**2 - 6*z + 5 - 5 + 25553*z**2. Let p(g) = 26*g**2. Determine k(p(n)). 676*n**4 - 156*n**2 Let p(k) = 273*k - 52. Let n(v) = 16*v - 3. Let x(l) = 52*n(l) - 3*p(l). Let q(z) = -3 + 6 - 1295271*z + 1295269*z - 3. Give x(q(y)). -26*y Let g(j) = 31*j + 10. Let h(u) = -46*u - 14. Suppose -255 = 33*r + 18*r. Let o(z) = r*h(z) - 7*g(z). Let q(f) = -6*f. Determine q(o(t)). -78*t Let f(r) = 1438954*r. Let k(v) = -25*v. Calculate k(f(u)). -35973850*u Let v(n) = n + 6202. Let p(d) = -d**2 - 6*d + 27. Let u(r) = -3*r**2 - 14*r + 63. Let a(y) = -7*p(y) + 3*u(y). Determine v(a(t)). -2*t**2 + 6202 Let c(f) = 710*f**2. Let m(u) = 54*u**2 + 29*u**2 + 46*u**2 - 175*u**2 + 47*u**2. Calculate c(m(p)). 710*p**4 Let n = -47 + 78. Let g = -9 + n. Let d(o) = -60*o + g*o + 13*o. Let x(y) = 2*y. Determine x(d(b)). -50*b Let b(f) = 7*f**2 - 10*f. Let v(s) = -s**2 + 3*s. Let t(h) = 3*b(h) + 10*v(h). Let a(j) = -4*j - j - 4*j. Give a(t(o)). -99*o**2 Let d(f) = 8*f**2. Let j(k) = -2186994*k. What is d(j(s))? 38263542048288*s**2 Let q(w) = 5*w**2 - 44*w. Let y(l) = -l**2 + 16*l. Let u(v) = 4*q(v) + 11*y(v). Let g(t) = -1133*t**2. Give g(u(c)). -91773*c**4 Let y(w) be the first derivative of -w**3 + 955. Let k(r) = -47*r + 1. Calculate k(y(l)). 141*l**2 + 1 Let n(r) = r - 20. Let t(c) = -8*c + 80. Let v(a) = -4*n(a) - t(a). Let f(o) be the second derivative of -o**4/12 - 42*o. Give v(f(x)). -4*x**2 Let h(c) = 24*c + 313783. Let y(k) = 2*k. Determine y(h(t)). 48*t + 627566 Let n(w) = -3*w**2 - 63. Let m(k) = 68*k + 11. Give m(n(g)). -204*g**2 - 4273 Let p(t) = 2*t**2. Let s(n) = n**2. Let b(u) = 3*p(u) - 8*s(u). Let z(h) be the third derivative of -5*h**4/8 + 64*h**2 + 4. What is z(b(o))? 30*o**2 Let d(z) = 21740841*z. Let f(m) = 26*m. Give f(d(j)). 565261866*j Let o(c) = -11*c**2. Suppose 5*z + b = -24, -2*z - 3 - 1 = -b. Let w(h) = 20*h**2 - 8. Let p(d) = d**2 - 2. Let v(t) = z*p(t) + w(t). Calculate o(v(r)). -2816*r**4 Let k(h) be the second derivative of 29*h**3 + h. Let p(m) = 792721880 - 2*m**2 - 792721880. What is k(p(w))? -348*w**2 Let y(o) = o**2. Let q(f) be the third derivative of -28*f**5/15 - 4*f**3/3 - 82*f**2 - 7*f - 1. What is q(y(b))? -112*b**4 - 8 Let m(c) = -62*c. Let z(u) = 35*u**2 - 1370*u + 685*u + 685*u. Determine z(m(p)). 134540*p**2 Let u(k) = -k**3 - 7*k**2 + k - 16. Let y be u(-7). Let s(n) = 2*n + 51. Let c be s(y). Let p(i) = 12*i + 6*i - c*i. Let j(d) = 3*d**2. What is p(j(h))? 39*h**2 Let c(o) = 14*o. Let z(d) = 7*d - 3. Let h(i) = -i + 1. Suppose 22*j - 14*j - 8 = 0. Let r(m) = j*z(m) + 3*h(m). Calculate c(r(x)). 56*x Let w(u) = -53*u. Let v = 38959/6 + -6493. Let m(l) be the second derivative of -v*l**4 - 19*l + 0 + 0*l**2 + 0*l**3. What is w(m(h))? 106*h**2 Let l(f) = 2009*f. Let j(p) = 4*p**2 + 161. Calculate j(l(s)). 16144324*s**2 + 161 Let q(d) = -9*d**2. Let i(a) = -218*a**2 + 147*a - 3. Let f(w) = 13515*w**2 - 9163*w + 187. Let m(p) = 6*f(p) + 374*i(p). Determine m(q(v)). -35802*v**4 Let l(r) = -390*r. Let u(x) = 160620*x. Determine l(u(h)). -62641800*h Suppose 8*v - 20*v + 1896 = 0. Let a(x) = 182 - 179 - v + x + x. Let d(s) = -s. Give a(d(t)). -2*t - 155 Let l(s) = -s**2 + 3*s**2 + 3*s**2 - 2*s**2. Let p(u) be the second derivative of u**4/12 - 9*u**2 - 2*u + 33. Calculate l(p(h)). 3*h**4 - 108*h**2 + 972 Let p(u) be the first derivative of 11*u**3/3 - 14797. Let a(g) = 2017*g. Calculate a(p(z)). 22187*z**2 Let o(x) = 3*x - 260. Let g(p) = -2*p + 208. Let m(i) = -5*g(i) - 4*o(i). Let w(f) = 9221*f**2. Give m(w(d)). -18442*d**2 Let v(d) = 11356*d. Let a(y) = 6327*y**2. What is v(a(k))? 71849412*k**2 Let b(q) = -623*q - 624*q - q**2 - 616*q + 1863*q. Let i(t) = -21911*t**2. Give i(b(d)). -21911*d**4 Suppose -31*x + 37*x - 3846 = 0. Let j(g) = 1262*g - x*g - 633*g + 3. Let v(l) = -l**2. What is j(v(t))? 12*t**2 + 3 Let o(f) be the first derivative of 62 + 0*f + 0*f**2 + 70/3*f**3. Let q(j) = j. Determine o(q(n)). 70*n**2 Let c(g) = -12075*g. Let b(h) = 322*h**2 + 34. Give c(b(i)). -3888150*i**2 - 410550 Let t(h) = -h. Let j(a) be the second derivative of a + 4 - 39/2*a**2 + 1/3*a**3. Give j(t(y)). -2*y - 39 Let l = 147 + -103. Let p(h) = -l*h**2 + 12*h**2 + 15*h**2 + 19*h**2. Let n(f) = 7*f - 5*f - 27*f. Determine n(p(i)). -50*i**2 Let v(h) = -10*h. Suppose -5*y = -6*u + 2*u - 5, u + 2*y = 15. Suppose -m + 5 = 0, g + m - u - 2 = 0. Let f(z) = 822 - 822 + g*z. Calculate v(f(c)). -20*c Let t(a) = 680*a + 1. Let m(z) = -14945*z. What is m(t(q))? -10162600*q - 14945 Let y(a) = -66*a**2 + 203*a**2 - 69*a**2 - 66*a**2. Let b(d) = 391*d**2 - 138*d. Let f(l) = 28*l**2 - 10*l. Let z(r) = 5*b(r) - 69*f(r). Determine y(z(q)). 1058*q**4 Let k(a) = -558*a + 5. Let u(n) = -2343*n + 21. Let y(d) = 21*k(d) - 5*u(d). Let z(v) = -1033*v**2. Give y(z(r)). 3099*r**2 Let i(o) = -10*o + 100781. Let h(a) = -5*a. What is i(h(y))? 50*y + 100781 Let w(j) = -15*j. Let x(v) be the third derivative of -v**5/15 - 12*v**3 + 2*v**2 + v + 604. Calculate w(x(d)). 60*d**2 + 1080 Let s(c) = -663*c**2 - 37. Let x(n) = -72*n**2. Calculate s(x(d)). -3436992*d**4 - 37 Let n(d) = -d. Suppose 88 = 5*u + 8. Let y(o) = u*o - 5*o - 12*o - 5*o. Let j(l) = 3*n(l) - y(l). Let m(b) = -b. Give j(m(x)). -3*x Let v(j) = -14*j - 28. Let x(i) = 31*i + 23. Let q(r) = -5*v(r) - 6*x(r). Let u(m) = -2*m**2. Calculate u(q(c)). -26912*c**2 + 928*c - 8 Let u(n) = -3*n. Suppose -20 = -5*p - 0. Let v(x) = p*x**2 - 12*x**2 - 21*x**2. Determine u(v(o)). 87*o**2 Let j(d) = -2766*d. Let i(u) = -244*u. Let n(m) = -68*i(m) + 6*j(m). Let x(h) = -6*h - 6*h + h. Calculate x(n(q)). 44*q Let s(p) = p. Let g(z) be the second derivative of z**5/60 - 29*z**4/6 + 13*z**2/2 + 4*z. Let f(o) be the first derivative of g(o). Determine f(s(b)). b**2 - 116*b Let k(m) = 14*m**2 + 4 - 7 + 3. Let f(d) = -47*d - 4. Let g(s) = 177*s + 15. Let p(v) = -15*f(v) - 4*g(v). What is p(k(u))? -42*u**2 Let k(s) = -700*s + 2. Let y(v) be the first derivative of v**2/2 + 1469. Give k(y(u)). -700*u + 2 Let l(j) = 9879763*j. Let w(x) = -2*x. Calculate w(l(n)). -19759526*n Let s(t) = 110*t + 91*t + 87*t - 295*t. Suppose -24 = -2*g + 4*v, -3*g + 6*g + v = 8. Let u(k) = g*k - k - 5*k. Give s(u(c)). 14*c Let f(x) = 94*x**2 + x - 2 - 3*x + 2*x. Let i(r) = 4 + 88*r + 50*r - 4 - 139*r. Give i(f(c)). -94*c**2 + 2 Let u(z) = -1672*z**2. Let o(j) = -4*j**2 - 10*j + 50. Let c(t) = 30*t**2 + 76*t - 380. Let y(p) = -10*c(p) - 76*o(p). Determine y(u(a)). 11182336*a**4 Let g(n) = 51*n. Let c(l) = -18*l**2 - 3*l. Let j(u) = 43*u**2 + 6*u. Let z(y) = 2*c(y) + j(y). What is g(z(b))? 357*b**2 Let c(t) = -261*t. Let f(d) = 30*d**2 - 8*d + 96. Let g(w) = -20*w**2 + 5*w - 60. Let b(m) = 5*f(m) + 8*g(m). Give c(b(u)). 2610*u**2 Let c(v) = 14*v.
{ "pile_set_name": "DM Mathematics" }
et u = -47.00000119 + 47. Round u to 7 dps. -0.0000012 Suppose -5*g + 37 = 4*p, -g + 4*p = 3*g - 8. Suppose -2*s + g*s = k + 67499996, 0 = -5*k + 20. Round s to the nearest one million. 23000000 Let d be ((3 - 3) + 5)*-15. What is d rounded to the nearest 10? -80 Let l(u) = -1486*u**3 + 2*u**2 + 5*u - 1. Suppose 5*w + 20 = -0*w + 2*v, 12 = -3*w + 4*v. Let i be l(w). Let f = 28115 - i. Round f to the nearest 10000. -70000 Let w = -4.98 + -0.02. Let g = -35748 + 35742.9982. Let n = g - w. What is n rounded to three decimal places? -0.002 Let u = -63 + 65.95. What is u rounded to one decimal place? 3 Let z = -1 - -0.9822. Round z to 3 decimal places. -0.018 Let z = 11 - 15. Let s be -1 + 3 + 0 + z. Let u(d) = 1550001*d + 2. Let w be u(s). Round w to the nearest 1000000. -3000000 Let l = 0.408 - 0.038. Let y = l + -3.77. What is y rounded to the nearest integer? -3 Let b = 22.8 - 22. Let y = -251.79976 + 251. Let x = b + y. What is x rounded to four dps? 0.0002 Let o(f) = 4720*f**2 - 14*f - 4. Let q be o(-6). Round q to the nearest 100000. 200000 Suppose 0 = k - 3*k + 6. Suppose k*f = -54 - 6. Let z be f/(-3)*(-1494)/12. Round z to the nearest one hundred. -800 Let h = -4.2 + 4.39. Let d = -0.44 - h. Round d to 1 decimal place. -0.6 Let w(u) = 2*u**2 + 10*u + 3. Let p be w(-5). Let l be 1*1*-1 - -3. Suppose -p*m - l*m + 145000 = 0. Round m to the nearest 10000. 30000 Let w = 7 + -6.99. Let z = w - 0.014. Let f = 0 + z. Round f to 3 dps. -0.004 Suppose -3*k - k + 16 = 0, -d + 7 = -3*k. Suppose 3*r - 24 = -2*v - 0*r, -v + d = 5*r. What is v rounded to the nearest 10? 10 Suppose -4*y + 285986 = -150014. What is y rounded to the nearest 10000? 110000 Let y be ((-998643)/(-9))/(2/(-6)). Let t = 113013 - y. Let u = 704106 + t. What is u rounded to the nearest one hundred thousand? 1200000 Suppose -6*v + 6 = -3*v - 5*a, v - 2 = 2*a. Let w be (v/(-2))/((-3)/435). Round w to the nearest 10. 150 Let d = 327 + -321.08. Let p = 6 - d. Let w = -0.080065 + p. What is w rounded to 5 decimal places? -0.00007 Suppose -2*k = -3*u - 4, -4*u = -5*k + 9 + 15. Let m be k/(-6)*3/(-2). Suppose -m*a = a + 10800000. What is a rounded to the nearest 1000000? -4000000 Let h = 549354321439.59329958 - 549074053220.5933. Let g = h + -280268196. Let o = g + -23. What is o rounded to 7 decimal places? -0.0000004 Suppose 2560 = 3*y - 917. Let j = -130159 + y. What is j rounded to the nearest 10000? -130000 Suppose 0 = 5*c - 2566939 - 433061. Round c to the nearest 100000. 600000 Suppose -4*k = -k - 21. Let x(b) = 130*b**3 + 7*b**2 + 11*b - 10. Let f be x(k). What is f rounded to the nearest 10000? 50000 Let p(h) = -h + 2. Let y be p(6). Let i be (6 + y)/(2/7). Suppose 9*w - i*w = -110. Round w to the nearest 10. -60 Let j = -0.04 - -0.34. Let o = 0.05 + j. Round o to one dp. 0.4 Let h = 0 + -1. Let t be h - (-1)/(3/4844943). Let q = -3214980 + t. Round q to the nearest one million. -2000000 Let a = -1.46 + -0.16. Let i = a + 0.9. Round i to one dp. -0.7 Let x = 0.07134 - 0.068. Round x to four dps. 0.0033 Let n = 0.36 - -0.02. Round n to one dp. 0.4 Let b = 34.53 - 30.5. Let n = 4 - b. Let y = n - -0.11. Round y to one dp. 0.1 Let p(j) be the first derivative of 3009*j**4 - 7*j**3/3 - 5*j**2/2 - 2*j + 9. Suppose 0*f + 24 = -4*f. Let i be p(f). Round i to the nearest 1000000. -3000000 Let k = 0.6 - -0.8. Let h = k - 1.4128. What is h rounded to 3 dps? -0.013 Let g = 0.024200898 - 0.0242. Round g to 7 dps. 0.0000009 Let t = 1990709 + -1990708.4069004. Let i = -0.1031206 + t. Let b = i - 0.49. Round b to five dps. -0.00002 Let t = 1.05 + -0.05. Let z = 1.4 - t. Let j = 0.40000004 - z. What is j rounded to seven dps? 0 Let b = -162.43 - -164. What is b rounded to 1 decimal place? 1.6 Let k be 112022/2 + 2/(-2). Suppose 5*z - k = -21010. Round z to the nearest one thousand. 7000 Let l = 860.3 + -903. Let q = 40 + l. What is q rounded to 0 decimal places? -3 Let i = 13.7 - 17.64. Let t = i - -6.8. Let r = -2.860129 + t. Round r to five decimal places. -0.00013 Let t(l) = -117036*l**3 + 2*l**2 - 2*l + 4. Let z be t(-3). Suppose u - z = -3*u. Round u to the nearest 100000. 800000 Let p = 32513.14007 + -32513. Let b = p + -0.14. Round b to five decimal places. 0.00007 Let d = -12 - -5. Round d to the nearest ten. -10 Let d = -0.437 - -0.437201. What is d rounded to 5 dps? 0.0002 Let u = 8 - 12. Let v = u + 8. Let j be -2 + v - (0 + -128). What is j rounded to the nearest one hundred? 100 Let z be -2 + (16300/(-12) - 1/(-3)). Round z to the nearest one hundred. -1400 Let c = 16.799748 + -16.8. What is c rounded to four decimal places? -0.0003 Suppose 0 = -2*w + 13 + 29. Let v be -7*((-60)/w - -2). Let f be ((-2624)/(-6))/(v/5625). Round f to the nearest 100000. 400000 Suppose 0 = -3*o - 674 + 188. What is o rounded to the nearest ten? -160 Let c = -40 + 74. Round c to the nearest ten. 30 Let z = -5640 + -860. Round z to the nearest 1000. -7000 Suppose 0 = -2*g - g + 4470. What is g rounded to the nearest 100? 1500 Let k = 2461 - 4991. Round k to the nearest 100. -2500 Let m = 7 + 92. Let v = m + -98.9999951. What is v rounded to 6 dps? 0.000005 Let a = -0.4 - -2. Let h = a - 0.8. Let z = h - 0.07. What is z rounded to one decimal place? 0.7 Let p = 0.61 - 0.13. Round p to one dp. 0.5 Let c = -0.180033 - -0.18. Round c to five decimal places. -0.00003 Let k = -7 - -6. Let q = 187.2 + -188.200125. Let m = k - q. Round m to five decimal places. 0.00013 Let f be (3 - 13/4)*-12. Let w be (-505 + 1)*20/(-8). Suppose 2*u + 0*m = f*m - 632, -4*u - w = -5*m. What is u rounded to the nearest 100? -300 Let b = 5805505 - 2205505. What is b rounded to the nearest 1000000? 4000000 Let i = -0.028 - -21.028. Let d = -11.46924 + -9.530726. Let o = i + d. What is o rounded to five dps? 0.00003 Let d = -7.83 - 0.17. Let g = d + 8.09. Let m = 0.090017 - g. What is m rounded to five decimal places? 0.00002 Let z = 1.235 + -0.145. Let x = -1.029 + z. What is x rounded to two dps? 0.06 Let i = -1 - -1. Suppose 4*x + 3*c + 12 = i, 19 = -4*x - 5*c - 1. Suppose -v + 1970 = -2*u + v, x = 4*u + 3*v + 3905. What is u rounded to the nearest 100? -1000 Let v = -11 - 9. Let z = 20.00006 + v. Round z to five dps. 0.00006 Suppose 4*i + 5*b - 7359995 = 0, -2*i - 5*b + 3679998 = -3*b. What is i rounded to the nearest one hundred thousand? 1800000 Let g = -37.75 - 0.25. Let y = g + 38.000106. Round y to five dps. 0.00011 Suppose 4*q - 3 = 5. Suppose 5*p + 5*b = -22999985, q*p + 3*b = 8*b - 9200015. Round p to the nearest one million. -5000000 Let n(p) = -9908*p - 8. Let z be n(-1). What is z rounded to the nearest 1000? 10000 Let o = -0.21 + 0.05. Let p = o - -0.1696. What is p rounded to 3 dps? 0.01 Let z = -33284 - -33413.476. Let a = z - 129. Let g = 0.39 - a. What is g rounded to 2 decimal places? -0.09 Let k = -0.49 + 0.48999892. What is k rounded to 7 decimal places? -0.0000011 Let z = 127 + -127.0000129. What is z rounded to 6 decimal places? -0.000013 Suppose i + 151 = -99. What is i rounded to the nearest one hundred? -300 Let l = 2.2 - -0.8. Let f = -9 + l. Let s = -5.9999952 - f. What is s rounded to 6 dps? 0.000005 Let h = -31.3 - -0.3. Let p = -0.5962 + 31.7722. Let k = p + h. Round k to 2 dps. 0.18 Let z = 25.6 - 20.72. Let r = z - -1.22. What is r rounded to 0 dps? 6 Let j = -196.247 - -0.247. Let r = -137 - j. Let g = r + -59.078. Round g to two decimal places. -0.08 Let i = 3 - -1. Suppose 266 = i*b - 3734. Let u be b/3*2*-12450. Round u to the nearest 1000000. -8000000 Let i(h) = -288894*h - 46. Let s be i(-9). Round s to the nearest 1000000. 3000000 Suppose 2*i + 3 - 9 = 0. Let m(o) be the third derivative of 61667*o**4/6 - 2*o**3/3 + o**2. Let q be m(i). Round q to the nearest 100000. 700000 Let o = 1 + 1. Suppose -o*g + 4*t = 7*t - 8399997, -3*t = -3*g + 12600003. What is g rounded to the nearest 1000000? 4000000 Let f = -155 + 99. Let i = -48.4 - f. Let x = i + -2.1. Round x to the nearest integer. 6 Let d = -104259.272658523 + -5762873.827345577. Let a = d - -5867134. Let c = a - 0.9. What is c rounded to 6 decimal places? -0.000004 Let g = -1268.141 + 1267. What is g rounded to one decimal place? -1.1 Let j(c) be the third derivative of 47999*c**4/24 - 5*c**3/6 - 3*c**2. Let y be j(-5). What is y r
{ "pile_set_name": "DM Mathematics" }
2 + -5. Let m(x) = -1890 + 1890 - 2*x. What is the units digit of m(h)? 4 Suppose -3*t - 12 + 3 = 3*u, 4*u + 2*t + 8 = 0. Let j = 1 - u. Suppose -d = j*d - 27. What is the units digit of d? 9 Suppose 0 = -n - 1 + 15. What is the units digit of n? 4 Suppose 4*v - 2*v + 4 = 0. What is the units digit of (0/(-3))/v + 3? 3 Let v(w) = w**2 + 7*w + 2. Let h be v(-7). Suppose h = -u + 4. What is the units digit of u? 2 What is the units digit of (-2)/6*186/(-2)? 1 Suppose 4*l = -2*o + 14, -3*o + 13 = -2*o + 5*l. Suppose -16 = -g - o*g. What is the units digit of g? 4 Let m = 4 - 12. Let g be (-2)/m - (-78)/(-24). What is the tens digit of 4/g*(-42)/4? 1 Let k(c) be the third derivative of 0 + c**2 - 1/60*c**5 - 1/4*c**4 + 1/2*c**3 + 0*c. What is the units digit of k(-6)? 3 Let r(t) be the second derivative of t + 1/20*t**5 + 0 + t**2 + 1/6*t**3 + 1/4*t**4. What is the units digit of r(-2)? 4 Let x(p) = -17*p**3 - 2*p**2 + 1. Let n be x(-1). Suppose m = -2*m + 33. Let r = n - m. What is the units digit of r? 5 What is the tens digit of 23 + 3 + -6 + 7? 2 Let b(v) = -5*v**2 + 7*v + 41. Let c(d) = -3*d**2 + 4*d + 21. Let w(a) = 4*b(a) - 7*c(a). What is the units digit of w(0)? 7 Let i(h) = 11*h**2 + 14*h + 34. What is the hundreds digit of i(-4)? 1 Let n(a) = 3*a + 9. Let b be 2*(405/(-6))/5. Let i(d) = 39*d + 117. Let h(q) = b*n(q) + 2*i(q). What is the tens digit of h(-7)? 1 Let q(o) = -7*o - 7. Let y be q(-6). Let c = y - 61. What is the units digit of c/(-3)*6/4? 3 Suppose m - 16 = -m. Suppose l = -l + m. Suppose 5*q - 61 - 34 = -n, 57 = l*q - 3*n. What is the tens digit of q? 1 Suppose -2*l + 51 - 13 = 0. What is the units digit of l? 9 Let k(j) = j**3 - 1. Let d(g) = 2*g**3 - 3. Let l be 2 + (-3 + 2 - 0). Let o(w) = l*d(w) - k(w). What is the units digit of o(2)? 6 Suppose 5*h - 99 - 61 = 0. What is the tens digit of (3 - h/(-2)) + 0? 1 Suppose a + 2*u = -a + 24, 5*a - 2*u - 32 = 0. Suppose 0 = -k - k + a. What is the units digit of k? 4 Let z(n) = 3*n. Let k(l) = l**3 + 12*l**2 - l - 9. Let r be k(-12). What is the units digit of z(r)? 9 Suppose -4*k + 7*k - 207 = 0. What is the tens digit of k? 6 Let g = 33 - 13. Suppose g = 4*u + u. Suppose -2*o - 4*y + 20 = 0, -4*o = -y + u*y - 35. What is the units digit of o? 8 What is the units digit of 2/(-9) - ((-1124)/36 - 3)? 4 Suppose -2*v - 5*y - 85 = 0, 5*v - 36 = -4*y - 223. Let r be (42/v)/(6/20). What is the units digit of 4/6 + r/(-12)? 1 Let d be (2 + (-3)/6)*-2. Let f(x) = -2*x. Let q be f(d). Suppose 5*i - c - 12 = 0, 6*c + q = 3*c. What is the units digit of i? 2 Let k(r) = 10*r**2 - 6*r - 6. What is the tens digit of k(-4)? 7 Let t(p) = p + 8. What is the units digit of t(3)? 1 Suppose 3*i - 49 = 23. Suppose 2*z + 0*z = -4*q + 16, 3*z + 2*q - i = 0. What is the units digit of z? 8 Let t = 22 + -20. What is the units digit of t/(-6) - 1088/(-24)? 5 Let r(q) = -7*q**3 + 2*q**2 + 2*q + 1. Let p = 4 + -4. Suppose n = -1 - p. What is the units digit of r(n)? 8 Let h(x) = -2*x**3 - x**2 + 3*x + 1. Let o(k) = k**2 + 3*k - 5. Let g be o(-5). Suppose 3*n = -g*q + 9, 2*q + q = 9. What is the units digit of h(n)? 7 Let g be ((-6)/(-4) + -2)*2. Let r be (3 + -9)*(-2)/(-4). What is the units digit of 2*g/(2/r)? 3 Let l = 50 + -40. What is the tens digit of l? 1 Let t(i) = 2*i + 2. Let l be t(-2). Let s = 19 + l. What is the units digit of s? 7 Let h(i) = 3*i**3 + 13*i**2 + 2. Let v(p) = p**3 + 6*p**2 + 1. Let q(y) = 2*h(y) - 5*v(y). Let l be q(3). What is the units digit of 2/7 - l/14? 1 What is the units digit of (-1023)/(-21) - 4/(-14)? 9 Let t(c) = -c + 2. Let p(x) = x**2. Suppose 2*v = v. Let r be p(v). What is the units digit of t(r)? 2 Suppose 679 = 7*i - 0*i. What is the units digit of i? 7 Let k = 29 + 21. What is the tens digit of k? 5 Suppose -3*x - 5*w + 735 = 0, -4*w = -2*x + 536 - 24. What is the hundreds digit of x? 2 Let j(p) = p**2 + 2*p + 4. Suppose -3*c = -2*c + 4. What is the tens digit of j(c)? 1 Let j = 400 + -234. What is the units digit of j? 6 Let c = 182 + -263. Let n = c + 113. What is the tens digit of n? 3 Suppose -15 = 4*r - 7*r. What is the units digit of (-15)/r*(-2)/6? 1 Let n(t) = 5*t**2 + 1. What is the units digit of n(-1)? 6 Let c(m) be the second derivative of m**5/20 - 2*m**3/3 + m**2/2 - 3*m. What is the tens digit of c(3)? 1 Let r = -11 + 23. Let s = 22 - r. What is the units digit of s? 0 Let t(r) = r**2 + 6*r - 6. Let g = -12 - -6. Let h be t(g). What is the units digit of ((-4)/h)/((-2)/(-21))? 7 Let m = -4 - -9. Suppose 0 = 5*c - 3*d - m, 6*c - 2*c - d = 11. Suppose -c*a = -a - 9. What is the units digit of a? 3 Let k(b) = -b + 72. Let v be k(0). Suppose 4*s = 4*u - v, 3*u - 14 = 5*s + 38. What is the units digit of u? 9 Let f(v) = -6 + 0 + 0 - 2 + 2*v. What is the units digit of f(8)? 8 Let a(o) = o**2 - 7*o + 7. Let g be 4/(-14) + (-36)/21. Let b be -7*(-2 - (g + 1)). What is the units digit of a(b)? 7 Let s(f) = -f + 0 - 4*f + f**3 + 2 + 3 - 5*f**2. What is the tens digit of s(6)? 1 Let d(b) = b**2 + 10*b + 15. Suppose 0*c + c + 10 = 0. What is the tens digit of d(c)? 1 Let v = -6 - -2. Suppose 0 = -3*q + 10 + 8. Let y = q + v. What is the units digit of y? 2 Suppose -4*h + 38 = -2*n + 124, 0 = -4*n - 5*h + 107. What is the units digit of n? 3 Suppose 2*u = 544 - 110. What is the hundreds digit of u? 2 What is the tens digit of 4/(-1)*(-3)/(6/59)? 1 Let r(s) = -s**3 + 7*s**2 + 10*s + 8. What is the tens digit of r(8)? 2 Suppose 18 = -2*k - 24. Let o = -7 - k. Suppose o = -r + 3*b, -17 = -2*b - 7. What is the units digit of r? 1 Let i be (-3)/1 + (-66 - -1). What is the units digit of i/2*3/(-6)? 7 Let z be (-154)/(-12) - (-4)/24. Suppose z = 2*x - 1. What is the units digit of x? 7 Let c(q) = 6*q + 1. What is the tens digit of c(2)? 1 Let i(k) = -k**3 - 2*k**2 + k + 1. Suppose -g - 11 = -2*j - 0, 3*g = -5*j + 55. Let d = j - 11. What is the units digit of i(d)? 7 Let w(y) = -2*y + 1. Let k be w(1). What is the units digit of (k/(-3))/(1/3)? 1 Suppose -2*y + y - 15 = -3*r, -3*r - 2*y + 24 = 0. Suppose -2*o - 60 = -r*o. What is the units digit of o? 5 Let c(q) = 3*q - 4. What is the tens digit of c(8)? 2 Let c(k) = -k**3 - 2*k**2 - 3*k - 1. Let o be c(-2). Suppose -2*w + 3*l = -l - 36, 5*w + o*l - 30 = 0. What is the tens digit of w? 1 Suppose -4*s - 3*j = -96, 0*j + 2*j = -4*s + 92. What is the units digit of s? 1 Let q(r) = -9*r**3 - 5*r**2 + r - 5. Let b(n) = -10*n**3 - 4*n**2 + n - 4. Let d(x) = 6*b(x) - 5*q(x). What is the tens digit of d(-1)? 1 Let h(q) = q**3 + q**2 - 2*q. Let u be h(4). Suppose 5*n - 33 = -c, 7*c + 5*n - u = 3*c. What is the tens digit of c? 1 Suppose -4*w = 3*w - 455. What is the tens digit of w? 6 Let t(k) = -k**2 + 7*k + 17. Let i be t(8). Let p(n) = n + 5. Let d be p(-6). What is the units digit of -3*15/i*d? 5 Let r be (-19)/(-7) - (-14)/49. Let p be 19/2 + r/2. Let x = -8 + p. What is the units digit of x? 3 Let h be 2/((-15)/(-9) + -1). Suppose -h = -y - 0*y. Suppose y*i = -0 + 12. What is the units digit of i? 4 What is the units digit of (-4)/(-20) + (-58)/(-10)? 6 What is the units digit of 1 + -24*(0 + 0 - 2)? 9 Let r = -43 - -60. Let m = 24 - r. What is the units digit of m? 7 Let z = 21 - 10. What is the units digit of z? 1 Let k(j) = -j**2 + 5*j + 1. Let h be k(5). What is the units digit of h*(7/1 + -1)? 6 Let c = -11 - -26. Suppose -3*n + c = -15. What is the tens digit of n? 1 Let f(p) = -5*p - 24. What is the units digit of f(-13)? 1 Let j = -10 - -6. Let f be 2/2 - (2 + j). Suppose -3*p + f = -0. What is the units digit of p? 1 Let o be (-4)/(-14) - 60/(-35). Suppose 2*b - 8 + o = 0. What is the units digit of b? 3 What is the units digit of (4 - (4 + -3)) + 3? 6 Let w be (-4920)/(-56) - (-2)/14. Suppose -4*h + w = 4*p, -3*p - 2*h + 28 = -39. What is the tens digit of p? 2 Let b = -1 + 3. Let p(y) = y - b*y + 6 - 11. What is the units digit of p(-8)? 3 Suppose -5*w = 20, -2*i + 2*w - 4*w = 0. Suppose 6 = 2*v - i. What is the units digit of (-2)/v*(4 - 19)? 6 Suppose -5 = -r - 2. Suppose -2 + r = -m - k, -5*m + 5*k + 5 = 0. What is the units digit of (0 + 0 - m) + 1? 1 Let u(j) = -5*j**2 - 6*j + 1. Let d(a) = -6*a**2 - 6*a + 2. Let g(x) = 6*d(x) - 7*u(x). What is the units digit of g(6)? 5 Suppose 5*c + 15 = 0, -
{ "pile_set_name": "DM Mathematics" }
, -0.1, 0.1. -3, -0.1, 0.1, 86/9 Sort 0, 27, 1/12, 2/17, -1 in ascending order. -1, 0, 1/12, 2/17, 27 Sort 39, -1.2, 5, 1. -1.2, 1, 5, 39 Sort 54, -17, 2 in descending order. 54, 2, -17 Put 0.02, 1, 5.6 in descending order. 5.6, 1, 0.02 Sort 2, 1, 25 in descending order. 25, 2, 1 Sort 24, 1/3, -2. -2, 1/3, 24 Put -1, -2/3, 0.5, 31 in ascending order. -1, -2/3, 0.5, 31 Put 1, -30, -3, -2, -1 in increasing order. -30, -3, -2, -1, 1 Sort 0.2, 3, 0.4, -3/1009 in increasing order. -3/1009, 0.2, 0.4, 3 Put 218, 5, -4, -5, -2 in ascending order. -5, -4, -2, 5, 218 Sort 1, 4, -4, 11, 1/2. -4, 1/2, 1, 4, 11 Put 3, -3, -0.5, 122 in increasing order. -3, -0.5, 3, 122 Put -7, 3, -14 in ascending order. -14, -7, 3 Put -1.3, 0.52, -1, -1/6, 0.1 in ascending order. -1.3, -1, -1/6, 0.1, 0.52 Put 17, -3, 0, -4 in decreasing order. 17, 0, -3, -4 Sort 2/7, 1/3, 0, 43/3, -0.6 in decreasing order. 43/3, 1/3, 2/7, 0, -0.6 Sort -3/2, 3/7, 320 in decreasing order. 320, 3/7, -3/2 Put -1, -4, -151 in ascending order. -151, -4, -1 Sort -3, -14, 5, 3 in ascending order. -14, -3, 3, 5 Put -3, 4, 119, -1, 9 in decreasing order. 119, 9, 4, -1, -3 Put 2, 1, 4, 11 in descending order. 11, 4, 2, 1 Put 0, -16, 1/4, -4 in decreasing order. 1/4, 0, -4, -16 Put 0, -74, -5 in decreasing order. 0, -5, -74 Put -3, 3, 30, -5 in descending order. 30, 3, -3, -5 Sort -0.4, -2/3, -0.1, -5, -0.3 in decreasing order. -0.1, -0.3, -0.4, -2/3, -5 Sort 9, 1, -2/9, -0.05 in decreasing order. 9, 1, -0.05, -2/9 Put 1, 3, -209, -1 in decreasing order. 3, 1, -1, -209 Put 0, -0.3, -0.4 in decreasing order. 0, -0.3, -0.4 Sort -4, -3, -8 in decreasing order. -3, -4, -8 Put 6, 12, -2, 2, 4 in decreasing order. 12, 6, 4, 2, -2 Sort -0.024, -1, 4, 4/3, 4/5 in descending order. 4, 4/3, 4/5, -0.024, -1 Sort -5, 5, 6, -3. -5, -3, 5, 6 Sort -4, 1, -114 in increasing order. -114, -4, 1 Sort 0, -5, 2.35, -0.5, -2/7 in descending order. 2.35, 0, -2/7, -0.5, -5 Sort -54, 1/8, 5, 0.3 in ascending order. -54, 1/8, 0.3, 5 Put 13, 3, -2 in descending order. 13, 3, -2 Put -29, -5, 0 in descending order. 0, -5, -29 Sort -5, -2, 1, -115, 3 in decreasing order. 3, 1, -2, -5, -115 Put -1, 5, 0, -2 in ascending order. -2, -1, 0, 5 Sort 3, 5, 7, 1, -5. -5, 1, 3, 5, 7 Sort -24, 2, -6. -24, -6, 2 Sort -22, -4, 0.5, 12 in descending order. 12, 0.5, -4, -22 Sort 25, 4, -3 in decreasing order. 25, 4, -3 Put -443, -4, -2 in ascending order. -443, -4, -2 Sort -3, -9, 2/5, -1/4. -9, -3, -1/4, 2/5 Sort 1/14, 3, 0.3, 4, -5 in descending order. 4, 3, 0.3, 1/14, -5 Put 5, 6, 2, -3 in decreasing order. 6, 5, 2, -3 Put 3, 0.1, 5, 4/9 in descending order. 5, 3, 4/9, 0.1 Sort 1, -39, 3, -19 in increasing order. -39, -19, 1, 3 Sort -2, 9, 0.1 in descending order. 9, 0.1, -2 Sort -277, 0, -4 in increasing order. -277, -4, 0 Sort -5, 2, -17452 in ascending order. -17452, -5, 2 Put 9, -13, 0, 1, -2 in increasing order. -13, -2, 0, 1, 9 Sort 53, -5/4, 2/7. -5/4, 2/7, 53 Put -2/5, 0.0267, 2/13 in descending order. 2/13, 0.0267, -2/5 Sort 0, 1, -67. -67, 0, 1 Put -2, -49, -1 in increasing order. -49, -2, -1 Sort 216, -3, -9 in ascending order. -9, -3, 216 Put -325, 2/3, -3, -4 in increasing order. -325, -4, -3, 2/3 Sort 2/19, -0.58, 1/4 in descending order. 1/4, 2/19, -0.58 Put -1, 1, 4, -74, -5 in increasing order. -74, -5, -1, 1, 4 Sort 8, 4, -1, 0.07 in ascending order. -1, 0.07, 4, 8 Sort -0.5, -1, -1083. -1083, -1, -0.5 Put 2/3, 2/5, 12 in decreasing order. 12, 2/3, 2/5 Put 2, 3/7, 1, -5 in ascending order. -5, 3/7, 1, 2 Sort 7, 2, 0.1, -3, 1/3 in increasing order. -3, 0.1, 1/3, 2, 7 Sort 0.4, 6, 2, -1/6, -28 in ascending order. -28, -1/6, 0.4, 2, 6 Put -1/5, 2/5, -0.33, 4, 1 in increasing order. -0.33, -1/5, 2/5, 1, 4 Put 1, 0.5, 37, -0.4 in descending order. 37, 1, 0.5, -0.4 Put 0, 7, 0.1, -0.062 in descending order. 7, 0.1, 0, -0.062 Put -0.4, -2.79, -0.1, -0.2 in descending order. -0.1, -0.2, -0.4, -2.79 Put -2/11, 0, 3/4, 1, -1/7 in descending order. 1, 3/4, 0, -1/7, -2/11 Put 0, 1, -11, -1, 6 in descending order. 6, 1, 0, -1, -11 Sort 1/4, 0.2, 4, 0.32 in decreasing order. 4, 0.32, 1/4, 0.2 Sort 15, 1, 8 in descending order. 15, 8, 1 Sort -1/7, 21, 0.6 in ascending order. -1/7, 0.6, 21 Put -5, 13, -8 in ascending order. -8, -5, 13 Put 41, -6, 1, 2, -3 in descending order. 41, 2, 1, -3, -6 Sort -0.4, -0.128, -6 in ascending order. -6, -0.4, -0.128 Sort -8, 0, 53 in descending order. 53, 0, -8 Put -4, -2, -12/5, 1/6, 30 in decreasing order. 30, 1/6, -2, -12/5, -4 Sort -2, -1, 2, -3. -3, -2, -1, 2 Put -0.2, 0.5, -2, -17/2, 2/3 in descending order. 2/3, 0.5, -0.2, -2, -17/2 Put 3, -8, -1, 45, -3 in descending order. 45, 3, -1, -3, -8 Sort -1/7, -3, 13, -2, -1 in ascending order. -3, -2, -1, -1/7, 13 Sort 17, -0.3, 3/10, -0.1, 0.2 in decreasing order. 17, 3/10, 0.2, -0.1, -0.3 Sort -0.03, 2/5, -93. -93, -0.03, 2/5 Sort -8, -5, 4, 0. -8, -5, 0, 4 Sort 1/2, -78, 1, -0.1. -78, -0.1, 1/2, 1 Sort -28.5, 2, 21 in ascending order. -28.5, 2, 21 Sort 0.1, -5, 98 in decreasing order. 98, 0.1, -5 Sort 286, -1, -4 in decreasing order. 286, -1, -4 Sort -7, -0.5, 1/62 in decreasing order. 1/62, -0.5, -7 Put -7, 0, 5, -5 in descending order. 5, 0, -5, -7 Sort -3, -277, 1. -277, -3, 1 Sort 0.5, -10.95, 1, 2/3 in decreasing order. 1, 2/3, 0.5, -10.95 Sort 10983, -2, 2 in decreasing order. 10983, 2, -2 Sort 12, 1/5, -2, -4 in descending order. 12, 1/5, -2, -4 Sort 2, -0.3, 2.3, -6/7 in increasing order. -6/7, -0.3, 2, 2.3 Sort 188, 4/3, 1, 0.5 in descending order. 188, 4/3, 1, 0.5 Sort 0.05, -3, 4, 0.3, -4/9 in descending order. 4, 0.3, 0.05, -4/9, -3 Sort -4, -36, -3 in increasing order. -36, -4, -3 Put -5, 11/18, 15, -2/13 in decreasing order. 15, 11/18, -2/13, -5 Put -1, 2, 22 in descending order. 22, 2, -1 Put 5, -49, 1/5, 2/13, 0.4 in decreasing order. 5, 0.4, 1/5, 2/13, -49 Put 5, 3, -39 in decreasing order. 5, 3, -39 Sort 2, -3, 36 in ascending order. -3, 2, 36 Sort -226, -25, -2 in descending order. -2, -25, -226 Put -12, 0.2, 3, -3, 0.4 in decreasing order. 3, 0.4, 0.2, -3, -12 Sort 2/7, 1/7, 1.9, 0.06 in increasing order. 0.06, 1/7, 2/7, 1.9 Sort -3/136, -2, 4/3 in descending order. 4/3, -3/136, -2 Sort -5, 56, 4, 1. -5, 1, 4, 56 Sort -3, 2/7, 0.18, -10 in ascending order. -10, -3, 0.18, 2/7 Sort 2, -121, -4, -6 in decreasing order. 2, -4, -6, -121 Sort 4, -1/2, 2/423 in increasing order. -1/2, 2/423, 4 Put 1, -0.3, 4, -1/7 in ascending order. -0.3, -1/7, 1, 4 Put -5, -26, -34, 5 in descending order. 5, -5, -26, -34 Sort 4, 0, 5, 55 in ascending order. 0, 4, 5, 55 Sort -0.14, 3, 1 in descending order. 3, 1, -0.14 Sort 5, 2, 3, -13, 4 in increasing order. -13, 2, 3, 4, 5 Sort 3/4, 3, 0.2, 2, 1.084 in decreasing order. 3, 2, 1.084, 3/4, 0.2 Sort 12/41, -5, -0.4 in descending order. 12/41, -0.4, -5 Sort 3/7, 140/11, 2, 0.2 in ascending order. 0.2, 3/7, 2, 140/11 Put 4, -5, -58 in descending order. 4, -5, -58 Sort -31, 0.4, -2/7 in decreasing order. 0.4, -2/7, -31 Put -4/13, 6, -0.3 in decreasing order. 6, -0.3, -4/13 Put 6, 8, 5, -5 in ascending order. -5, 5, 6, 8 Put -307, -8, 3 in increasing order. -307, -8, 3 Sort 109, -1, -3, 0. -3, -1, 0, 109 Sort 4, 5, -4, 1227, 2 in descending order. 1227, 5, 4, 2, -4 Sort -36, -16, -3 in descending order. -3, -16, -36 Sort 2, 4, -195 in ascending order. -195, 2, 4 Sort -7, 0, 0.4, -8 in descending order. 0.4, 0, -7, -8 Sort -14/11, 1/8, 0.6, -5, -1/2 in ascending order. -5, -14/11, -1/2, 1/8, 0.6 Put 2, -1, 6, -33, 4 in ascending order. -33, -1, 2, 4, 6 Sort -2, -5, -336 in descending order. -2, -5, -336 Put -3, -4, 0, -1 in ascending order. -4, -3, -1, 0 Put -1, -28, 2, 4 in decreasing order. 4, 2, -1, -28 Sort 9/11, 4, 0, -1/3 in decreasing order. 4, 9/11, 0, -1/3 Sort 7, 5, 0, 2, 1 in descending order. 7, 5, 2, 1, 0 Sort 1, 0.5, -4.5 in descending order. 1, 0.5, -4.5 Put -9, 5, -3, 9 in increasing order. -9, -3, 5, 9 Sort 1, 3, -1173 in decreasing order. 3, 1, -1173 Put -3, 1, -5, 372, -2 in decreasing order. 372, 1, -2, -3, -5 Put -3, 0, -1, -8 in decreasing order. 0, -1, -3, -8 Put -20, 4, -3, -4 in descending order. 4, -3, -4, -20 Sort -5, 24, 5, 14. -5, 5, 14, 24 Sort 39, -44, -1, 2 in ascending order. -44, -1, 2, 39 Put 5, -5, 1/4, 0.04 in decreasing order. 5, 1/4, 0.04, -5 Sort 47, -4, -1/4 in de
{ "pile_set_name": "DM Mathematics" }
**4/2 - 2752*s**3/3 - 11857*s. Find the second derivative of a(l) wrt l. -12*l**2 - 12*l + 756 Let b(i) be the second derivative of 2081*i**4/6 + 3113*i**3/2 - 11221*i. What is the second derivative of b(v) wrt v? 8324 Let w(q) = q**3 - 2*q**2. Let x(d) = 236*d**4 - 3*d**3 + 6*d**2 + d + 1201. Let b(m) = 3*w(m) + x(m). What is the first derivative of b(j) wrt j? 944*j**3 + 1 Let j be (-3)/(18/(-12)) - 0. Find the first derivative of 233*o - 85 + 229*o - 459*o - 12*o**j wrt o. -24*o + 3 Let f(u) = -2491*u**3 - 6*u**2 - 6*u - 1170. Let s(r) = 2490*r**3 + 4*r**2 + 4*r + 1170. Let x(g) = -2*f(g) - 3*s(g). Differentiate x(l) wrt l. -7464*l**2 Let v(w) be the first derivative of -653*w**4/2 + 2*w**3/3 - 6349*w - 10651. Find the third derivative of v(i) wrt i. -7836 Let q = -227 + 253. Let d = -9 + 27. Find the first derivative of 7*x**3 + x**3 - q + d + 16 wrt x. 24*x**2 Let v(r) = 2*r**2 - 31*r + 82. Let p be v(3). Let a(l) be the first derivative of 0*l**4 + 0*l**2 - 8*l - 8/5*l**5 + 0*l**3 - p. Differentiate a(w) wrt w. -32*w**3 Differentiate -5884*q + 5578*q + 1182 - 119 with respect to q. -306 Suppose -24*a + 12 = -21*a. Suppose 9 = a*x - 7. Find the third derivative of 9*n**4 - 38*n**2 + 3*n**x + 9*n**2 wrt n. 288*n Let o(d) be the first derivative of -1137*d**4/4 - 1501*d - 924. What is the first derivative of o(w) wrt w? -3411*w**2 Let k = -45 - -23. Let a = 43 + k. What is the second derivative of f**2 - 7*f - 20*f**5 - f**2 + a*f**5 wrt f? 20*f**3 Let h be (-57)/(-133) + (-59)/7. Let f = h - -10. Find the second derivative of 19*k**f - 14*k**2 - 8*k - 8*k**2 - 9*k**2 wrt k. -24 Let s(u) = 2*u**2 + 6*u + 8. Let q be s(-2). Find the second derivative of 247*x - 225*x - 3 + 5 - 3 - 78*x**q wrt x. -936*x**2 Let r(o) be the third derivative of -o**6/30 - 95*o**4/24 - 191*o**3/6 - 1155*o**2. Differentiate r(f) with respect to f. -12*f**2 - 95 Suppose -4*y + 20 = -2*r + 4*r, 0 = y - 2*r - 10. What is the third derivative of -39*g**2 - 70*g**y + 10046*g**3 - 10046*g**3 wrt g? -8400*g**3 Find the second derivative of -5*w**3 + 13*w**3 - 6*w**2 - 2*w**2 - 6*w + 142 + 2*w + 33*w**2 wrt w. 48*w + 50 Suppose 5*p - 3*p - 2612 = 0. What is the first derivative of -46 + p*y - 70*y**2 - 1306*y wrt y? -140*y Let p(s) be the first derivative of 70*s**6/3 - s**5 + 1039*s**3/3 + 1190. Find the third derivative of p(h) wrt h. 8400*h**2 - 120*h Let z(f) = 5*f**2 - 7*f + 113. Let o be (-1)/(-2) - (-20)/8. Let a(g) = -9*g**2 + 12*g - 228. Let w(k) = o*a(k) + 5*z(k). Differentiate w(y) with respect to y. -4*y + 1 What is the second derivative of -732*q - 767*q + 19919*q**5 - 21823*q**5 wrt q? -38080*q**3 Suppose -30 = -5*u - 4*n, 0 = 4*u - 4*n + 9*n - 33. Find the third derivative of 91*s**2 + 176*s**2 - 150*s**u - 66*s**4 wrt s. -1584*s Let p(b) be the second derivative of -2/3*b**3 + 33/2*b**2 + 11/20*b**5 + 0 - 1/3*b**4 + 29*b. What is the second derivative of p(r) wrt r? 66*r - 8 Let x(p) = 419*p**4 - 1082*p**2 - 4*p + 8. Let m(r) = -836*r**4 + 2163*r**2 + 9*r - 18. Let d(k) = 4*m(k) + 9*x(k). What is the third derivative of d(s) wrt s? 10248*s Let y(q) = -40*q - 12. Let j be 1/2 - 14/4. Let f be y(j). Find the second derivative of 2*d**2 + 53*d - f*d + 51*d wrt d. 4 Find the third derivative of 391 - 221*c + 2*c**2 + 517 + 0*c**2 + 221*c + 1420*c**3 wrt c. 8520 Let t(i) be the second derivative of 1553*i**4/6 - i**3/3 + 653*i**2/2 + 180*i + 18. Differentiate t(m) wrt m. 6212*m - 2 What is the second derivative of -3226*x + 98352*x**2 + 239*x**3 - 98354*x**2 + 4*x**4 - 14*x**4 wrt x? -120*x**2 + 1434*x - 4 Let k = 27 - 27. Suppose k = 7*w - 2*w - 20. What is the second derivative of -2*u - 41*u**w - 26*u**4 + 23*u + 32*u**4 wrt u? -420*u**2 Let n(k) be the second derivative of 0*k**2 + 0 - 31/28*k**8 - 51*k + 0*k**5 + 0*k**7 + 0*k**6 + 1/12*k**4 - 2/3*k**3. Find the third derivative of n(u) wrt u. -7440*u**3 Let f(c) be the first derivative of 39*c**5 - c**3 + 14558*c - 297. Find the first derivative of f(l) wrt l. 780*l**3 - 6*l Differentiate 2277 + 198*j**2 - 16*j**2 - 179*j**2 + 221*j**2 - 5*j**3 + 20*j**3 with respect to j. 45*j**2 + 448*j Let h(l) = 647*l**3 + 1541*l**2 - 6*l - 12. Let u(z) = 647*z**3 + 1540*z**2 - 4*z - 8. Let f(c) = -4*h(c) + 6*u(c). Find the third derivative of f(n) wrt n. 7764 What is the third derivative of -8359343 + 8359343 - 1996*x**2 + 12783*x**3 wrt x? 76698 Let p(u) = 12310*u**2 + 9*u + 1723. Let y(w) = -3*w**2 + 3*w + 1. Let j(r) = p(r) - 3*y(r). Differentiate j(o) with respect to o. 24638*o Let o(h) be the second derivative of 724*h**6/15 - 244*h**2 - 97*h - 3. Differentiate o(p) wrt p. 5792*p**3 Find the third derivative of 3548*c**3 + 2848*c**2 + 110594*c - 110594*c wrt c. 21288 Let d(l) = 741*l**3 - 3*l**2 - 70*l - 2. Let k(b) = 742*b**3 - 4*b**2 - 80*b - 3. Let i(x) = -4*d(x) + 3*k(x). What is the second derivative of i(z) wrt z? -4428*z Let x(z) = 19*z - 18*z**2 - z**3 + 9*z**2 + 62 - 15*z**2. Let k be x(-25). Find the second derivative of -18*v - 24*v**2 + k - 212 wrt v. -48 Let q(c) be the first derivative of -1730*c**3/3 + 10*c**2 + 9*c + 1848. Find the second derivative of q(g) wrt g. -3460 Let w(x) be the first derivative of 3*x**2/2 - 28*x + 6. Let c be w(10). Find the third derivative of -7*l**2 - 16*l**2 + 5*l**6 - 2*l + c*l wrt l. 600*l**3 Let r be (-46)/(-161) - 200/14. Let p be 63/(r/(-78) + 10/65). Find the third derivative of 166*z**2 - z**3 + 0*z - p*z**2 + 0*z + 13*z**4 wrt z. 312*z - 6 Find the third derivative of 14 - 46 + 4*z**2 - 167 - 6*z**2 - 42 - 1345*z**3 wrt z. -8070 Let g(i) = -1178*i - 3043. Let x(y) = -14135*y - 36550. Let d(c) = 35*g(c) - 3*x(c). Differentiate d(j) with respect to j. 1175 Let c(u) be the third derivative of 493*u**6/8 - u**5/20 + 10*u**4/3 + u**3/6 + 9*u**2 + 20. What is the third derivative of c(l) wrt l? 44370 Find the third derivative of 6 + 12 - 16 + 797*n**4 + 17 - n**2 wrt n. 19128*n Let b(i) = -i**2 + 11*i - 22. Let q be b(8). What is the first derivative of -24*r**q - 13*r**3 + 22 - 47 + 28*r**2 wrt r? -39*r**2 + 8*r Let c(d) = -10*d**4 - 162 + 244*d - 6*d**4 - 6*d**3 - 246*d. Let s(m) = -81*m**4 - 33*m**3 - 11*m - 810. Let h(f) = -11*c(f) + 2*s(f). Differentiate h(a) wrt a. 56*a**3 What is the first derivative of -5*k**3 + 103 - k - 12*k**2 + 49 + 12*k**2 - 21*k wrt k? -15*k**2 - 22 Let n = 80 + -84. Let v be 2 - (n - 0 - (-8 - -5)). What is the second derivative of z**2 - 6*z - z + 5*z - v*z**2 wrt z? -4 Let p(r) = -5*r**3 - 33*r - 697. Let m(y) = 4*y**3 + 31*y + 697. Let c(w) = 7*m(w) + 6*p(w). Differentiate c(l) with respect to l. -6*l**2 + 19 Let r(t) be the second derivative of 251*t**4/12 - 2*t**3 - 2805*t**2 - 789*t + 4. What is the derivative of r(n) wrt n? 502*n - 12 Find the third derivative of -642*o**4 + 745*o**2 - 3*o + 32*o**3 + 1946*o**4 - 32*o**3 + o wrt o. 31296*o Let m(q) = -27*q**2 - q + 2. Let v(i) = 78*i**2 + 14*i - 7 - 20*i + 9*i. Let h(s) = -7*m(s) - 2*v(s). What is the second derivative of h(t) wrt t? 66 Let x = -66 + -3. Let o = -18 - x. Differentiate o + 7*k**2 - 31 + 14*k**2 with respect to k. 42*k Let i(b) = 2371*b**3 + 2*b**2 + b - 7076. Let v(l) = 4742*l**3 + 5*l**2 + 2*l - 14149. Let r(w) = 7*i(w) - 3*v(w). What is the derivative of r(h) wrt h? 7113*h**2 - 2*h + 1 What is the derivative of 1169*b**2 + 1636 + 3560 - b - 799*b**2 wrt b? 740*b - 1 What is the third derivative of -60 - 2*s**3 + 4721*s**4 + 3*s + 13 - 27*s**2 + 11 + 16 + 15 wrt s? 113304*s - 12 Let u(t) be the first derivative of -t**4/2 - 635*t**3/3 - 410*t + 274. Differentiate u(j) wrt j. -6*j**2 - 1270*j Let s(x) be the third derivative of 0*x - 107/60*x**5 - 13/4*x**4 + 70*x**2 + 0 + 1/3*x**3. What is the second derivative of s(l) wrt l? -214 Let c(b) = 20*b - 21. Let x(s) = s + 1. Let p(t) = -t - 2. Let h(f) = -p(f) - 2*x(f). Let a(w) = c(w) - 3*h(w). What is the derivative of a(k) wrt k? 23 Let w(c) be the first derivative of -c**5 + 11*c**3 - c**2/2 - 55*c + 822. Find the second derivative of w(f) wrt f. -60*f**2 + 66 What is the derivative of 1218 - 26 + 90*l**3 - 170*l**3 + 88*l**3 wrt l? 24*l**2 Let q be (74 - 70) + (-2)/(-2) + 0. What is the second derivative of 0*g**5 - g - 3*g**q + 41*g + 28*g wrt g? -60*g**3 Let r(g) = 6532*g**4 + 16*g**3 + 3162. Let d(h) =
{ "pile_set_name": "DM Mathematics" }
a = 28 + -25. Suppose -d + 3*d + 4*f - 84 = 0, a*f + 112 = 2*d. What is the tens digit of d? 5 Let s = 4 + 4. Suppose -2*n - 2*n + s = 0. Suppose -j = -n*k - 49, -3*j - 2*k + 179 = -0*j. What is the tens digit of j? 5 Let t = -984 + 984. Let z be (-192)/(-14) + (-4)/(-14). Suppose t = -18*j + z*j + 28. What is the units digit of j? 7 Let k = 1381 + -472. What is the units digit of k? 9 Let n(w) = -196*w - 5. What is the units digit of n(-1)? 1 Suppose 3*m - 2*j = -14, j = -2*m + 6*j - 24. What is the units digit of (m/(-4))/((-5)/(-610))? 1 Let f = -13 - -17. Suppose -2*x - 13 = -0*q - 3*q, 0 = f*q - 2*x - 18. Suppose 2*n - 70 = -j, -q*n - 4*j + 172 = -0*j. What is the tens digit of n? 3 Let b be (1 + 3/(-6))*312. Let y = b + -91. What is the tens digit of y? 6 Suppose 4*p - 5*w + 336 = 1404, 4*p = -2*w + 1040. What is the tens digit of p? 6 Suppose -13*d - 78 = -26. What is the tens digit of (52/(-10))/(3*d/180)? 7 Let k(d) = 2*d - 10. Let u be k(9). Let y(z) = 6*z - 1 + 12*z**2 + z - u*z. What is the units digit of y(-1)? 2 Let d = 588 - -1306. What is the tens digit of d? 9 Let g be 11 - 3 - (-6)/(-2). Suppose -212 + 782 = 4*l + g*w, 5*l + 4*w = 717. What is the units digit of l? 5 Let s(r) = 3*r**3 - 5*r**2 - 6*r - 11. Let w be s(9). Suppose 0 = 10*d - 13 - w. What is the hundreds digit of d? 1 Let b(i) = 3*i**2 - 39*i + 5. Suppose 20*w - 247 = 7*w. What is the units digit of b(w)? 7 Let g(b) = -139*b**3 - b**2 - b - 1. Let r be g(-1). Suppose k + 25 = r. Suppose -3*d - 183 = -3*n, k = 2*n - 2*d + 3*d. What is the units digit of n? 8 Let z(b) = -793*b + 4. What is the hundreds digit of z(-1)? 7 Let r be -2 - (25/(-5) + -1). Suppose 0 = r*i - 3*w - 462, -212 = -2*i + 3*w + 22. What is the hundreds digit of i? 1 Suppose -5*a + 2 = -5*p + 17, -p = a - 7. Suppose a*t = -2*t + 228. Let o = t - 12. What is the tens digit of o? 4 Suppose 2*t = -0*t - 5*n + 1311, -n + 651 = t. What is the hundreds digit of t? 6 Let f(s) be the first derivative of -s**4/4 + s**3/3 + s**2 + 2*s + 16. What is the units digit of f(2)? 2 Suppose 21*k = 11*k + 2490. What is the hundreds digit of k? 2 Suppose -i + 3*y = -691, 5*i - 3*i + 3*y - 1364 = 0. What is the units digit of i? 5 What is the hundreds digit of 10/6 - 296*(-234)/108? 6 Let r(c) = -2*c**2 + 13*c - 2. Let j be r(6). What is the units digit of j - (-4 - 136 - 2)? 6 Let v(a) = 2*a**2 + 4*a + 4. Let g be v(-3). What is the units digit of (-168)/(-20) - 4/g? 8 Suppose -x + 9 = 2*x. Suppose 0 = x*z - 4*b + 4, -3*z + 5*b + 0 = -1. Let f = z + 13. What is the units digit of f? 5 Let l(t) = -t**2 + 8*t - 5. Let h be (-24)/(-40)*(-1 - -11). Let d be (-2)/((-4)/h) + 3. What is the units digit of l(d)? 7 Suppose u + 5*t - 20 = 0, 0*u + u - 5*t + 10 = 0. Suppose 4*d = u*c + 201, 0*c - 103 = -2*d + 5*c. What is the units digit of d? 9 Let s = 49 - 50. What is the units digit of s/3*(155/(-1) - -2)? 1 Let n be (-81)/18*4/(-6). Suppose -106 + 304 = n*a. What is the tens digit of (-11)/11 + 1 + a? 6 Let f(m) = 2*m - 6. Let o be f(-9). Let l be 4/6 - o/(-9). What is the tens digit of (-4)/(-2) - (-18 - l)? 1 Suppose -2*o - 2*o - 2*k + 294 = 0, 4*o - 5*k - 287 = 0. Suppose -2*d - 180 = 2*d + u, 5*d + 225 = -2*u. Let m = o + d. What is the tens digit of m? 2 Let d be 1 + 15/(-5) + -146. Let g = -94 - d. What is the tens digit of g? 5 Suppose -h = c + 2*c + 13, -3*h = c + 71. Let f = 35 + h. What is the tens digit of f? 1 Suppose 610 = u - 6*u. Let d = -203 - u. Let k = -43 - d. What is the tens digit of k? 3 Let k = 10 + -16. Let s(z) = z**2 + 5*z - 3. Let b be s(k). Suppose -b*o - 3*u = -111, 2*u = -5*o + 4*u + 178. What is the units digit of o? 6 Let z be (0 - (-4 + 4))/2. Suppose z = t - 4*t + 24. Let h = t - -3. What is the units digit of h? 1 Let j be (-2)/(-5) + -1 + (-322)/(-70). Suppose j*k = 17 - 1. What is the units digit of k? 4 Let t(r) = r**3 - 5*r**2 - 3*r + 5. Let x = -1 + 4. Suppose 0*o = 4*o + 3*k - 24, 3*o - x*k - 18 = 0. What is the units digit of t(o)? 3 Let s = 721 + -447. Suppose s = 2*n + 74. What is the hundreds digit of n? 1 Suppose -5*l = -2*l - 6. Let c be (-1125)/(-18) + l/(-4). Let b = 89 - c. What is the units digit of b? 7 What is the tens digit of ((-5621)/(-28))/((-2)/(-8))? 0 Suppose 0 = -5*p + 4*r - 9*r + 3340, 0 = -4*p - 5*r + 2670. What is the hundreds digit of p? 6 Suppose 2*t + 3490 = 42*k - 39*k, -5*t + 5 = 0. What is the tens digit of k? 6 Let a be (1/1)/((-3)/(-33)). Let l(g) = g**2 - 10*g + 1. Let w be l(a). What is the units digit of 76*(15/w)/5? 9 What is the units digit of (27/(-36))/(1*2/(-8136))? 1 Let z = 7 + -9. Let p be ((-10)/(3 + 2))/z. What is the units digit of 2 + p + (9 - 11)? 1 Let t(s) be the first derivative of -s**3/3 + 15*s**2/2 - 5*s - 10. Let z(v) be the first derivative of t(v). What is the tens digit of z(-17)? 4 Let h(p) = p**2 + 4*p - 5. Let y = 17 - 9. Let c be 0 + -9 - (-11 + y). What is the units digit of h(c)? 7 What is the units digit of 195342/315 - (-2)/(-15)? 0 Let j(g) be the third derivative of -5*g**4/12 + g**3/6 + g**2. Let z = 43 + -46. What is the units digit of j(z)? 1 Let z be 1 + (2 - 1) - -2. Suppose z = -l + 3. What is the units digit of 4/((-2)/l - 0)? 2 Let n(l) = -2*l**3 - 7*l**2 + 18*l - 18. What is the hundreds digit of n(-10)? 1 Suppose 3*z + 3*j - 740 = 439, 2*j + 1596 = 4*z. What is the units digit of z? 7 Let j(k) = -k**3 - 2*k**2 + 6*k + 7. Let x(p) = -p**2 + 7*p + 5. Let t be x(8). Let l be j(t). What is the units digit of (l - -6)/(14/91)? 6 Let x = -4963 - -7912. What is the thousands digit of x? 2 Let w be (-27)/(-5) + 4/(-10). Suppose 0 = w*c - 40 - 35. Suppose -4*s - 3 + c = 4*g, 5*g = -3*s + 21. What is the units digit of g? 6 Suppose -5*f + k + 2255 = -752, -4*f + 4*k = -2396. What is the tens digit of f? 0 Let u(r) = -19*r + 2. Let p be u(2). Let o = 65 + p. Let f = o - -12. What is the tens digit of f? 4 Let l(m) = 14*m - 5. Let u = -5 - -17. What is the tens digit of l(u)? 6 Suppose -1600 = -5*r - 4*h, -4*r - 4*h - 270 + 1546 = 0. What is the hundreds digit of r? 3 Suppose -46*h + 29*h + 60452 = 0. What is the units digit of h? 6 Let c = 11 + -4. Let u be 5/3 - (-6)/18. Let x = c - u. What is the units digit of x? 5 Let k(h) = -h**2 - h + 27. Let m be k(0). What is the units digit of ((-18)/m)/((-1)/6)? 4 Let b = 14 + -12. What is the tens digit of (3 - b)*(-1 - -48)? 4 Let j = -175 - -185. What is the tens digit of j? 1 Let f(y) = 3*y - 13. Let m be f(6). Suppose 5*l - 103 = -j + 3*l, -m*l + 490 = 5*j. What is the tens digit of j? 9 Suppose -5 = -5*n + 5. Suppose -4*t - 424 = -4*h, -n*h - t + 536 = 3*h. What is the tens digit of h? 0 Let o(r) = 2168*r**3 - 3*r**2 - 3*r + 5. What is the hundreds digit of o(1)? 1 Suppose 3*s - 33 = -0*s. Suppose 3*j - s = 5*u, 2*j = -j + 2*u + 17. Suppose -5*h - 4*d = -231, -5*h - j*d = -2*d - 235. What is the tens digit of h? 4 Suppose 4*g - 2*g = -252. Let c = g - -232. What is the units digit of c? 6 Let n = 13 + -10. Suppose -11 = n*r + 7. What is the units digit of -1*(-26 + 3 + r)? 9 Let v = -468 + 1185. What is the tens digit of v? 1 Let i(d) = 16*d**2 - 7*d - 1. Let a(u) = 2*u - 4*u**2 - 2*u**2 + 7*u**2 - 3*u. Let s(k) = -6*a(k) + i(k). What is the tens digit of s(-2)? 4 Suppose 0 = -2*d + 237 + 37. What is the hundreds digit of d? 1 Let p = 94 + -91. Suppose -730 - 45 = -5*i - p*z, -z = 4*i - 627. What is the units digit of i? 8 Suppose -22 = 3*t - 484. Suppose -5*f + 302 = 3*p, -5*p - t = -3*f - 0*f. What is the units digit of f? 8 Let a(z) = -41*z - 74. What is the hundreds digit of a(-7)? 2 Let v(o) = 2*o**3 - 3*o**2 - o + 1. Let b be v(-1). Let n be ((-6)/4)/(3/(-6)). What is the tens digit of 16 + b/(-3)*n? 1 Suppose 17186 = 5*z + 3*p, -5*z + 3430 = -4*z - 3*p. What is the hundreds digit of z? 4 Let i(h) = -52*h - 2. Let f be i(-2). Suppose -4*v + 5*v = l - 34, -3*v = 3*l - f. What is the units digit of l? 4 Suppose 3*k = -4*k + 805. Let i = 171 - k. What is the units digit of i? 6 Let z = -49 + 2709. What is the hundreds digit of z? 6 Let o(c) = c**3 + 26*c**2 - 15*c - 216. What is the tens digit of o(-17)? 4 Suppose 2*j + 65 = 43. Let s = j + 152. What is the hundreds digit of s? 1 Let b be (-92)/(-22) + 6/(-33). Suppose 35 = -b*s + 135. What is the units digit
{ "pile_set_name": "DM Mathematics" }
tiple of 3? False Let m(l) = -6 - 2 + 12*l**2 + 4 - 20*l - l**3 - 5. Is m(8) a multiple of 29? True Let s(k) = -3*k**3 + 2*k. Suppose -5*u - 14 = -4. Does 12 divide s(u)? False Let x(i) = 5*i**2. Suppose 0 = 3*j - 34 + 49. Is 5 a factor of x(j)? True Let z = -11 + 11. Suppose -4*p - p + 80 = z. Let g = p - -40. Is g a multiple of 28? True Let c(l) = l**3 - 6*l**2 - 6*l - 7. Let b be c(7). Let z = 386 + -206. Suppose b*n = -5*n + z. Is 12 a factor of n? True Let d = 82 + -66. Let p = 12 + d. Does 13 divide p? False Suppose -t + 200 = -2*y + 4421, -5*y + 10546 = 4*t. Is y a multiple of 29? False Is 28/(-20) + 2 + (-42966)/(-90) a multiple of 3? False Let z be (0 + (-2 - -2))/(-3). Suppose -5*o + 182 - 22 = z. Let l = 57 - o. Does 25 divide l? True Let y(k) = 6*k**2 - 3*k + 27. Let f be y(-9). Suppose -7*p + 2*p = -f. Is p a multiple of 13? False Suppose 80 = 5*i - 2*i - k, 5*i - 156 = -4*k. Let w = -12 + -4. Let s = i + w. Does 7 divide s? False Suppose 0 = 4*d - 9 - 19. Let m = d + -2. Suppose -n - 32 = -m*n. Is n a multiple of 6? False Let y be 3*4/(-2)*-27. Suppose -4*l - l + 10 = 0. Suppose -y = -l*a - a. Does 9 divide a? True Let q(r) = -r**3 + 7*r**2 - 5*r + 2. Let c be q(5). Suppose c = 4*i - 33. Is i a multiple of 4? False Let s = 154 - 124. Does 26 divide s? False Let s(j) = 2*j**3 - 3*j**2 + 2*j - 1. Let b be s(2). Let z(w) = -5 + w - b - 5*w + 0*w. Is z(-9) a multiple of 12? True Suppose 4*g - 1235 = -p, -g + p = 3*p - 300. Does 12 divide g? False Let g = -79 - -11. Let c = g - -197. Is c a multiple of 10? False Suppose 4*j - r - 206 = 54, j + 2*r = 56. Is 70*(4 - j/20) a multiple of 16? False Let h be (-29)/2 - 1/(-2). Is 6 + (-1197)/h + 3/2 a multiple of 12? False Let k(c) = c**3 - 3*c**2 + 2*c - 2. Let h be (-6)/(-10) + (-60)/(-25). Let n be k(h). Suppose -2*i = z + 2*z - 180, -166 = -2*i + n*z. Is i a multiple of 29? True Let l(w) = -w**3 - 10*w**2 + 11*w - 2. Let s be l(-11). Let b be 1/s + (-105)/6. Is (-2)/3 + (-894)/b a multiple of 16? False Let m(a) = 3*a**2 - 4*a + 88. Let w(d) = 2*d**2 - 3*d + 89. Let q(g) = -4*m(g) + 5*w(g). Suppose 8*p - 4*p = 0. Does 31 divide q(p)? True Suppose -22 = -4*c + 14. Suppose 0 = r + 3, c = t + 2*t + 2*r. Suppose t*k - 3*k = 2*i + 72, 67 = 2*k - i. Is k a multiple of 31? True Let n = -51 + 76. Suppose -a + n = -0*a. Suppose -k - 3*w + 0*w = -25, -3*k + w = -a. Is k a multiple of 6? False Suppose 5 + 50 = -3*g + t, 0 = g + 3*t + 5. Let s = g - -23. Suppose s = n - 33. Does 22 divide n? False Suppose 3*f + 2*f = 5*o - 395, 2*o - 152 = -4*f. Does 13 divide o? True Let x(w) = 11 + 6*w - 4*w - w. Let u be x(-6). Suppose 131 = u*v - 4*l, 0 = 5*v + 2*l - 72 - 65. Is 21 a factor of v? False Let b(o) = o**2 + o - 1. Let r(l) = 2*l**2 + 6*l + 26. Let p(f) = 3*b(f) - r(f). Is p(-9) a multiple of 13? False Suppose 3*m = 15 - 75. Let r = m - -24. Suppose -r*a + 242 = 82. Is a a multiple of 21? False Let m(a) = -3*a**2 + 70*a - 22. Suppose 4*b = -0*w + 2*w + 70, 0 = 5*b + w - 91. Does 38 divide m(b)? True Suppose 10*l + 8 = 38. Suppose -l*g - 208 = -19*g. Does 8 divide g? False Let k be (-7 - -4)/((-6)/14). Suppose -r + 43 + k = 3*a, 4*r = -3*a + 56. Is 19 + a - (-3 + 1) a multiple of 9? False Let v(d) = 11*d**2 + 30*d + 76. Is v(-16) a multiple of 18? True Suppose 3*n - 9 = -3. Let g be 3/n*(-128)/(-6). Suppose -7 = z - g. Does 4 divide z? False Suppose -14*p = -662 - 3398. Does 15 divide p? False Does 9 divide 2 + -3 - 1098*(-4)/8? False Let j(t) = -2*t**2 - 3*t + 8. Let c(d) = 3*d**2 + 6*d - 15. Let n(r) = -4*c(r) - 7*j(r). Is n(3) a multiple of 13? True Let n(h) = h**2 + 13*h - 12. Let c(b) = 2*b**2 + 19*b + 8. Let f be c(-8). Is n(f) a multiple of 12? True Suppose 83 - 81 = 2*d. Is 10 a factor of (-1)/(d/(-1)) + 192/2? False Let o(n) = -n**2 - 3*n. Let t be o(-4). Let w(b) = -6*b**2 + 10*b**2 - b**2 - 2 - 10*b + 8*b. Is 10 a factor of w(t)? False Let l(n) = -3*n - 8. Let b(k) = k - 1. Let z(j) = 2*b(j) + l(j). Let h be z(-16). Let x = h + -1. Is x a multiple of 5? True Let b(q) = 6. Let j(a) = a - 3. Let s(l) = 3*b(l) + 6*j(l). Let w be s(1). Suppose -27 = -3*y + 4*k, 0*k + 2*k = -w. Is y a multiple of 5? True Does 37 divide (-80)/600 - 10684/(-30)? False Let o be 0 + -1*225/(-5). Let r be (4/(-5))/((-1)/5). Is (702/o)/(r/10) a multiple of 13? True Let r(f) = 12*f**2 + 2*f + 17. Does 17 divide r(-3)? True Suppose 0*q + q = -4*o + 113, 109 = q + 2*o. Let t = q - -185. Is t a multiple of 43? False Suppose 2*m = 5*m + 81. Let r = 29 + m. Suppose 0 = -3*n + 5*a + 78, -45 - 2 = -r*n + 5*a. Does 11 divide n? False Suppose -3*g + 4*o = -1716 - 1088, -g - 5*o + 941 = 0. Does 13 divide g? True Let b = -14 - -18. Suppose -w + b = 21. Let j = w + 57. Is 20 a factor of j? True Suppose -4*t - 241 = -q, -2*q + t + 226 = -q. Is 16 a factor of q? False Suppose 28 = 2*c - 0*c + 3*d, 4 = -d. Let l = c + -4. Is 4 a factor of l? True Let h be (2/(-4))/(405/80 - 5). Let y = h + 192. Is y a multiple of 23? True Let t(y) = y**3 + 10*y**2 + 14*y - 10. Let n be t(-8). Let l(r) = r**3 - 7*r**2 + 10*r - 9. Let v be l(n). Let z = -4 + v. Is z a multiple of 11? True Suppose 2*n - 78 = -5*u, 4*n + n + 21 = u. Suppose u = x - 33. Is x a multiple of 49? True Let q = -30 - -32. Suppose 5*c + 451 = -3*m + q*m, 0 = 3*c + 3*m + 261. Is (-26)/c - (-558)/7 a multiple of 14? False Let r = 12 - 8. Suppose r*u - 5*d = 2*u + 167, -d = 3*u - 276. Is 18 a factor of 1/(-5) + u/5? True Suppose 0*n + 4*n - 416 = 0. Is 40 a factor of (12/8)/(3/n)? False Let s(o) = 9*o + 7. Let j be s(5). Suppose -5*u + 23 = -j. Suppose -2*h = -37 - u. Does 24 divide h? False Let b(t) = -t + 4. Let d be 0/(-2)*(3 + -2). Let j be b(d). Suppose 2*f = 3*s - 54 - 61, -3*f = j*s - 159. Does 13 divide s? True Let f(d) = -d**2 - 8*d - 5. Suppose 2*g - 5*u + 14 = 0, -2*u + 47 - 12 = -5*g. Let j be f(g). Is 43 + j/(-1) + 2 a multiple of 26? False Suppose 0*d = 4*d - 2*d. Suppose -5*y + 1450 = 8*r - 3*r, d = 2*r + 3*y - 580. Is r a multiple of 37? False Suppose 9 = 3*t + 3. Suppose r - 2*d = 19, 0*r = -t*r + d + 23. Does 9 divide r? True Suppose 4289 = -11*x + 18303. Is 49 a factor of x? True Let m be 3*(5/30)/((-1)/2). Let u(x) = -212*x**3 + x. Is 9 a factor of u(m)? False Let p(y) = -104*y + 14. Let f(l) = -103*l + 13. Let x(r) = -7*f(r) + 6*p(r). Does 18 divide x(1)? True Let p = 37 - 37. Suppose 2*b + 3*d = -p*d + 136, 4*d = 0. Suppose 6*h - b = 4*h. Does 17 divide h? True Suppose 752 = 316*s - 315*s. Is 99 a factor of s? False Is (75/30 + 0 + 0)*104 a multiple of 24? False Let b = -28 + 37. Suppose b - 61 = -2*v + 4*x, 122 = 4*v + x. Is 5 a factor of v? True Let j = 101 - 70. Suppose j*f - 28*f = 90. Does 15 divide f? True Suppose 30 = c - 3*k, 3*c - 103 = -c - 5*k. Is c a multiple of 9? True Does 4 divide (-5208)/20*40/(-24)? False Let s(v) = -3*v**2 + 2*v - 1. Let y(i) = -7*i**2 + 5*i - 3. Let x(w) = -5*s(w) + 2*y(w). Let g(z) = 4*z**2 - 1. Let h(q) = g(q) - 2*x(q). Does 17 divide h(-3)? False Let c be ((-12)/(-21))/(4/28). Suppose 453 = c*k - k. Suppose -i - 4*o - k = -4*i, -i - 5*o + 25 = 0. Does 13 divide i? False Let h = -13 - -18. Suppose 2*a - h*a + 438 = 0. Let f = a + -74. Does 18 divide f? True Let k(f) = -f**3 - 21*f**2 + 12*f - 9. Is 35 a factor of k(-23)? False Suppose 2*p + 13 = x, -2*x + x - 2*p = 7. Suppose -x*n = 2*q - 0*q - 48, 5*q + n - 120 = 0. Is 12 a factor of q? True Is (-76 - -1036) + 0 + -4 a multiple of 4? True Suppose -1 = 5*n - 21. Is 9 a factor of (-1 - (-10)/n)/((-3)/(-150))? False Let m(d) = 40*d**2 - 15*d + 7. Is m(6) a multiple of 24? False Let c(v) be the third derivative of 0*v + 1/24*v**4 + 4*v**2 + 1/2*v**3 + 0 + 1/60*v**5. Is c(5) a multiple of 11? True Suppose -8 = 2*y, -2*m = -2*y - 342 - 260. Let i = m - 177. Is i a multiple of 20? True Let i be (-32)/40*-10*2. Suppose -d = -i - 24. Suppose -3*y = y - d. Does 4 divide y? False Suppose 0 = 4*p + 2*t - 398, -291 = -3*p - 0*t + t. Is 12 a factor of p - (1 + -5 - -6)? True Let s(q) = 42*q + 5. Let h be s(1). Let n = -21 + h. Is n a multiple of 20? False Let x(t) = t**2 + 5*t - 12. Let o be x(-6). Let j be (1 - o)*(1 - 0). Let z = 8 + j. Does 3 divide z? True Let i be (0 - -1) + (-2)/((-8)/(-1196)). Let l = -163 - i. Is 14 a factor of l? False Let r be -106 - -2*9/6. Let x = -35 -
{ "pile_set_name": "DM Mathematics" }
t to 0? (a) -0.002 (b) -3/7 (c) 0.2 a Which is the nearest to 0.4? (a) 1 (b) -2/11 (c) 3 b What is the closest to -0.1 in 0, -3, 3, -5? 0 Which is the nearest to 1? (a) 2/13 (b) 1 (c) 140 (d) -5 b Which is the closest to 0? (a) -40 (b) 2 (c) 5 (d) 10/3 b Which is the closest to 2/3? (a) 39 (b) 3 (c) -56 b Which is the closest to -0.02? (a) 12 (b) 0.4 (c) 0.02 c Which is the nearest to 1? (a) -4/9 (b) -0.2 (c) 0.1 (d) 18 c What is the nearest to 17 in -2, 0.3, 0.2? 0.3 Which is the closest to 0? (a) -2/17 (b) 1 (c) -2/87 c What is the nearest to -11 in -0.04, 1/2, 5? -0.04 What is the nearest to -2/7 in 0.3, -1, -1/2, -20? -1/2 Which is the nearest to -1? (a) -0.4 (b) -1 (c) 0.2 (d) -0.8 b Which is the nearest to -14/5? (a) -5 (b) -4 (c) 4 b What is the closest to 0.17 in 7, -0.5, -1, -3? -0.5 What is the closest to 3/2 in -0.01, -4, 3/7? 3/7 What is the nearest to -3/2 in 5/6, 62, -0.4? -0.4 Which is the nearest to -1? (a) -1/4 (b) 1/6 (c) 3/2 (d) 1/8 a Which is the closest to 0.4? (a) -2/3 (b) 0 (c) 1/3 c Which is the nearest to 0.2? (a) -0.2 (b) 3.7 (c) 4 a Which is the closest to -0.005? (a) 1 (b) -4 (c) -5 a Which is the nearest to 0? (a) 4 (b) -0.2 (c) -3/2 (d) 1/4 b What is the closest to -4/3 in 0, -5/4, -1? -5/4 What is the nearest to -5/6 in 2/11, -2, 0.1? 0.1 What is the nearest to -1 in 1/25, -4, -1/9? -1/9 What is the nearest to -108 in -5/4, -5, -1? -5 Which is the nearest to 1? (a) -12/7 (b) 1 (c) -4 (d) -0.5 b Which is the closest to -1.8? (a) 3/4 (b) 4 (c) 2/11 c Which is the closest to -4/5? (a) -4/3 (b) -2/11 (c) -2/21 (d) 0.1 a What is the nearest to -0.03 in -1/7, 3/5, -3, 0? 0 What is the nearest to -184 in 2/5, -1/4, 0? -1/4 What is the nearest to 19/2 in -2, 1, 0.03? 1 Which is the closest to -1? (a) 4/3 (b) 3 (c) 2 (d) 0 d What is the nearest to -0.1 in 2/11, 5, -4, -25? 2/11 Which is the closest to 583/4? (a) 1 (b) 0 (c) 4 c What is the nearest to -1/6 in 2, 22, -5, -0.5? -0.5 Which is the nearest to -11/7? (a) 1 (b) 3/4 (c) -7 (d) -2/3 d What is the nearest to -6/11 in -1/4, -2/23, -0.1? -1/4 What is the closest to -1 in -1/6, 1.4, 1/3, -2/9? -2/9 Which is the closest to 5? (a) -46/21 (b) -4 (c) -0.3 (d) 0.2 d What is the closest to -62 in -0.5, -1/6, 2? -0.5 Which is the nearest to 0.2? (a) -2/3 (b) -3 (c) -2 (d) -1/3 d Which is the closest to 1/3? (a) -2/15 (b) -4 (c) -2 (d) 0.5 d Which is the closest to 1/150? (a) -2 (b) 1/4 (c) -1 b Which is the nearest to 2/5? (a) 0.4 (b) 11 (c) -70 a Which is the closest to 4/9? (a) 0.03 (b) -1 (c) -1/3 a Which is the nearest to 2? (a) -0.2 (b) -26 (c) 5/2 (d) -0.3 c Which is the closest to -1? (a) -6/11 (b) -2 (c) -4/5 c What is the nearest to -0.212 in 1/3, 0, -0.002? -0.002 What is the closest to -2 in 14, 5, -2, 2/7? -2 Which is the closest to 9? (a) -0.4 (b) 11 (c) -4 (d) 0 b Which is the closest to 7.6? (a) -0.5 (b) -0.2 (c) -7/5 b What is the closest to 0.1 in -1/4, -4, -0.1, -0.4? -0.1 Which is the closest to -1? (a) -0.2 (b) -0.5 (c) 2/15 (d) 9.2 b Which is the nearest to -1? (a) -0.06 (b) -2/15 (c) 1 b What is the closest to 0.1 in 0, -2/11, 1/4, -3/2? 0 Which is the closest to -1? (a) 0.2 (b) -0.2 (c) 23 (d) 2 b What is the closest to 0.1 in 0.2, -1, 3, 5? 0.2 Which is the nearest to -2/15? (a) -14 (b) 0.1 (c) 2 (d) 3 b Which is the closest to -0.2? (a) 0 (b) -0.5 (c) -30 (d) -1 a What is the nearest to -0.02 in -29, -2, -0.3? -0.3 Which is the nearest to -2? (a) -3/8 (b) -5 (c) -3 (d) -6 c Which is the closest to -1/4? (a) -1/43 (b) 4 (c) -2 a What is the closest to 2 in -7, 0.2, -2, -0.5? 0.2 What is the nearest to -4.4 in 3/2, 4/3, 3/4? 3/4 What is the closest to -11 in 71, -2/3, 0.2? -2/3 Which is the closest to 0.1? (a) 5 (b) -0.4 (c) -1/3 (d) 4 c Which is the closest to -0.2? (a) -1/7 (b) -5 (c) 2/3 (d) 0.3 a Which is the nearest to -1/2? (a) -1 (b) -3 (c) -0.6 c What is the closest to -0.1 in -36, 11, 3? 3 What is the nearest to 5/3 in -0.1, -2, -1/8, -4/5? -0.1 Which is the closest to 0? (a) 3 (b) 0.4 (c) 113 (d) -2 b Which is the nearest to 12/5? (a) -1 (b) -26 (c) 4 c What is the closest to -2/5 in 4, 1, -2/325? -2/325 Which is the closest to 0? (a) 5 (b) -3 (c) 1/7 (d) -34.45 c What is the nearest to 0 in 1, -4, 0, 37? 0 Which is the nearest to -155/2? (a) 2 (b) 3/8 (c) -2 (d) -4 d What is the closest to 3 in 0, 0.3, -4, -5? 0.3 Which is the closest to 0? (a) 1 (b) 0.3 (c) 7 (d) -3 b Which is the closest to -0.2? (a) 246 (b) 0.05 (c) 5 (d) 2/11 b Which is the nearest to 3/2? (a) 1 (b) 0 (c) 0.04 (d) -4 a Which is the closest to 5? (a) 0.2 (b) 7/2 (c) -4 (d) 5 d Which is the closest to 3? (a) -1 (b) -3 (c) -3/13 (d) 0.4 d What is the closest to -3/7 in 0.1, -1, 10/47? 0.1 What is the closest to 5 in 0.03, -2/9, -0.4, -4? 0.03 Which is the nearest to 0? (a) 0.039 (b) -38 (c) 1/5 a Which is the nearest to 0? (a) -0.2 (b) 2 (c) -23 (d) -3/4 a Which is the nearest to -1/5? (a) 17 (b) -6 (c) -3 (d) -5 c What is the nearest to -1.7 in -5/6, 1/3, 1, 5? -5/6 Which is the nearest to -382? (a) -5 (b) 0.2 (c) 2/3 a Which is the nearest to -6/11? (a) 2/3 (b) 0.2 (c) -4/7 c What is the nearest to 4/5 in 0, 3, 1/4, 0.3? 0.3 Which is the nearest to 0.06? (a) -0.2 (b) 0.03 (c) 3/8 (d) 4/7 b Which is the nearest to 1/2? (a) 0.1 (b) 1/13 (c) 0.2 c Which is the closest to -0.1? (a) 0 (b) -2/5 (c) -44 (d) -3/2 a Which is the closest to 1.5? (a) -7 (b) 0.1 (c) -4 b Which is the nearest to 1? (a) 2/7 (b) -0.4 (c) -0.16 (d) 53 a What is the closest to 33 in -0.4, 3/5, 0.1, -2? 3/5 Which is the closest to -2/9? (a) 0.3 (b) -4.92 (c) -5 a What is the nearest to -2/9 in 307, -0.4, -0.5? -0.4 Which is the nearest to -0.038? (a) -2/19 (b) 5 (c) 1/7 (d) 27 a What is the closest to 1 in -0.02, -5, 0? 0 What is the closest to 1/4 in 776, 2/7, -1/5? 2/7 Which is the nearest to -0.3? (a) -0.3 (b) -2 (c) 4 (d) -0.048 a What is the closest to 364 in 14, -2/7, -2? 14 What is the closest to 18 in 5, 0, -18? 5 Which is the nearest to 2/3? (a) -1 (b) -20 (c) 5 a What is the closest to 0 in 1/3, 3, -8/7? 1/3 Which is the nearest to 4/7? (a) 0.05 (b) 4 (c) 3 a Which is the closest to -0.1? (a) 1 (b) -1/4 (c) 0.33 b What is the closest to -0.3 in 0.32, -0.1, -1/6? -1/6 What is the closest to 3 in -1/2, 5, 2, -24? 2 Which is the nearest to -2/7? (a) 3/5 (b) 2/11 (c) -278 (d) 2/7 b What is the nearest to 1 in -0.1, 4, 3, -4/5? -0.1 What is the closest to 1405 in -4/5, 2, -5? 2 What is the nearest to 0.1 in -1/3, 0.2, 8/9, -5? 0.2 Which is the closest to -0.2? (a) -13 (b) 2/13 (c) -2/17 (d) 1 c Which is the nearest to 1? (a) 3 (b) 104 (c) -2/15 (d) -2 c What is the closest to 2 in -0.2, -5, -11, 2/13? 2/13 What is the closest to -0.1 in 58, 3/5, 2? 3/5 What is the closest to 21/149 in 2, 3/2, 2/15? 2/15 What is the closest to -1 in 0.1, -0.4, 1/9, -631? -0.4 What is the closest to 1 in 4, -5/3, -0.1, -1/3? -0.1 What is the closest to -1/3 in 0, 5, 0.19? 0 Which is the closest to 71? (a) 2/3 (b) 3 (c) -0.2 (d) -3/4 b What is the closest to 1 in 2, -3/17, 1, -3/8? 1 Which is the nearest to 2? (a) 5 (b) -0.4 (c) 0.6 c Which is the nearest to 0? (a) -2/17 (b) 0.4 (c) 17 a What is the closest to 0 in -1/9, 823, -4/7? -1/9 Which is the closest to -2/9? (a) -33 (b) 15 (c) -3/4 c What is the nearest to 1 in -5/4, -0.2, 1/32, 0.15? 0.15 What is the nearest to -0.08 in 6, -5, -0.2? -0.2 What is the closest to -53 in -1/5, 2, 2/3? -1/5 What is the closest to -2/1983 in -0.1, -2, 1/3, 0? 0 What is the nearest to 0.1 in -4, -0.3, 82? -0.3 Which is the nearest to 10? (a) -9 (b) 5 (c) -2 b What is the nearest to -0.1 in -0.2, -2/7, 0.3, -2013? -0.2 Which is the nearest to -0.2? (a) -0.2 (b) 2/17 (c) -2 (d) -2/7 a What is the closest to -5/4 in 5, 2, -0.01, -2/9? -2/9 What is the nearest to -2/3 in -0.03, -1, -16? -1 What is the nearest to -2/21 in 3/4, 7/11, -4? 7/11 Which is the closest to 1/4? (a) 4 (b) 46 (c) -0.1 (d) -1 c What is the closest to 4 in -2, 4/7, 1/9, 5? 5 Which is the nearest to -4? (a) -7 (b) -0.5 (c) -2/15 a What is the clos
{ "pile_set_name": "DM Mathematics" }
161 = 7 for d. 11 Solve -5*g + 130 = 1633*i - 1610*i, 5*g + i - 20 = 0 for g. 3 Solve -r - 3*r = i + 32 + 25, 3*r = -2*i + 3*i + 22 for r. -5 Solve -815*s = -814*s + 5*f - 67, -3*s + s + 0*f + f + 0 = 9 for s. 2 Solve 777*b - 31 = -3*s + 778*b, -10 = -5*b for s. 11 Solve 205088*s - 205092*s - 2*k + 34 = 0, -8 = -s - k for s. 9 Solve -4*z - 4*t + 20 = 0, 3*z + 2*z + 0*z - 19*t + 95 = 13*z - 4*z for z. 0 Solve 3*n + 6 + 29 = 2*o + 62, -19 = n + 4*o for n. 5 Solve 2384 = -52*h - 5*w + 7, 0 = 3*h + 4*w + 126 for h. -46 Solve -3297*t + 3294*t = -5*y + 11, 4*t - 4*y = -4 for t. 3 Solve -i - 6*j + 37 = 0, -781*i = -780*i - j + 5 for i. 1 Solve r + 49 = -19*u, -201*u + 2 = r - 199*u for r. 8 Solve 5*c - 5*g + 30 = 0, 0 = -30675*c + 30687*c - 4*g + 8 for c. 2 Solve 24 = q - 5*j, 5*q - 2*j = 5*q - 3*q + 20 for q. 4 Solve -2842*i = 4*a - 2849*i + 128, 3*a + 3*i - 36 = 0 for a. -4 Solve -16*f + 4*n + 192 = -0*n, 2*f - 11*n + 9*n + 11 = 41 for f. 11 Solve -6*g - d + 61 = 0, -125736*g = -125731*g - 5*d + 340 for g. -1 Solve 0 = -2*v - 5*f + 38 - 14, 7*v - f - 451 + 478 = 0 for v. -3 Solve 3*a + 91 = 3*p + 127, 5*a + 3*p = 4 for a. 5 Solve 0 = 5*u - 10, 2180 = -6*p + 3*p - 3*u + 2201 for p. 5 Solve -51 = n + 24*m + 15, -3*n - m = -15 for n. 6 Solve 2*s - 5*a = 30, 4*s - 2*s + 2*a + 34 = -6*a + 5*a for s. -5 Solve -r + 1280 = b + 1286, -4*b = -5*r - 3 for b. -3 Solve 0 = -b + 2*j - 18150 + 18143, -j - 11 = -15*b for b. 1 Solve -4*a + 13 = -t, 844 - 1669 = -4*a - 3*t - 832 for a. 2 Solve -5*o = 2*m + 22, 28742 = 5*m + 5*o + 28782 for m. -6 Solve 3217*a = -b + 3213*a - 231, -111 = -b + 2*a for b. -3 Solve 8*i - 15*i + 4*d - 8 = 0, 10474*i - 10470*i = 4*d + 4 for i. -4 Solve 0 = 11*k + 5*t - 4*t - 34, -13*k - 32 = -11*k + 4*t for k. 4 Solve -2*s + a - 67 = 0, 4*s - 5*s - 4*s - 184 = 3*a for s. -35 Solve 5*o = 0, 32*f + 3*o + 397 - 358 = 392 + 543 for f. 28 Solve 10*v - 15*v - b = 10, -6*v + 2*b - 6*b + 16 = 0 for v. -4 Solve -546*g - 149 = -551*g - 3*q, -118 = -4*g - 2*q for g. 28 Solve -z - 15 - 27 = -4*y, 2*y - 45 = -23 for z. 2 Solve 10746*u = -6*b + 10741*u + 85, 3*u - 44 = -5*b for b. -5 Solve 0 = -2*m - 356*s + 358*s + 42, -5*m + 12*s + 26 + 58 = 0 for m. 24 Solve 2*d - 126 = -5*a, 4*a + 23903*d - 23901*d - 100 = 0 for a. 26 Solve 308*c - 58 = 307*c + 3*y, 0 = -c + y + 18 for c. -2 Solve -1596*p - 2*i = -1593*p - 22, -4*i = p - 34 for p. 2 Solve -3*a + 48 = -3*q, -16048*q - 5*a = -16042*q + 41 for q. -11 Solve 0 = 5507*p - 5513*p + 5*r - 51, 0 = p + 4*r - 64 for p. 4 Solve -5*k = -2*c - 3*k + 12, -6953*c - 3*k - 4 = -6949*c for c. 2 Solve 11 = 5*k + j, 3*j - j = 6*k + 16*k - 42 for k. 2 Solve 0 = -4*o + 2*q - 2*q - 5*q - 25, -99 + 42 = 12*o - 3*q for o. -5 Solve 625*v - 313*v = -4*a + 310*v + 44, 6*a = 5*v + 66 for a. 11 Solve 0 = 689*k - 686*k + 15, -196 = 4*g + 32*k for g. -9 Solve 5*i - 12 + 16 = o, -i - 66 = i - 5*o for i. 2 Solve -158*l - 4*n = -155*l + 23, 2*l - l + 4*n = -21 for l. -1 Solve 3*b = r - 180, -5*r - 7*b - 19969 = -19571 for r. 3 Solve 8136 - 8106 = -3*z + 3*h, 99*z + 787 + 107 = 3*h for z. -9 Solve 7*d - 4*d - 31 = 13*f - 9*f, 5*f - 40 = -d - 4*d for d. 9 Solve -4*q + 64 = 2*h, -301*h - 75 = -2*q - 4*q - 297*h + 7 for q. 15 Solve 5*a + 5*p - 65 = 0, 73401*a - 8*p = 73396*a for a. 8 Solve -296817*g + 296822*g + 105 = -4*f, 4*g - f = 0 for g. -5 Solve -5*u - 260 = 15*q, -u = -2741*q + 2736*q + 12 for q. -5 Solve 59*n = 4*c + 79, -257*c + 0*n - 3*n + 23 = -261*c for c. -5 Solve 5*d - 46 = 12*t, 10241*d = 10238*d - 3*t - 3 for d. 2 Solve 133*b - 130*b + 4*h = 56, 973*b - 15570 = -h for b. 16 Solve -4*g + 389*o - 55722 = -1117*o, -6*g - o - 185 = -g - 6*o for g. 0 Solve 5*h = -5*x + 25, 38*h + 2*x = 33*h + 10 for h. 0 Solve -38*k + 38*k + 14 + 8 = 11*o, 4*k = o + 3*o + 12 for k. 5 Solve -n = 3*h + 6, -30*h + 3*h + 5*n + 12385 = 12397 for h. -1 Solve -12*x - 33785 = 6*o - 33827, 4*o - 4*x - 76 = 0 for o. 15 Solve -2*j - 4 = -7*x - 3*j - 46, -4*x = -3*x + 48*j - 21*j + 6 for x. -6 Solve -6*r - 10 = -4*u, -22 = -2*u + 7*u + 3 for r. -5 Solve 3*z = 7*o - 7*o + o + 10 + 1, -z = -2961*o - 23689 for z. 1 Solve 5*s = -14*c + 191, -512*c + 511*c + 4 = 0 for s. 27 Solve 0 = -5*y + 3*n + 19 + 57, 2*y = 176*n + 3876 for y. 2 Solve 0 = -5*r - 4*y + 107, 4*y = 2*r - 358 + 472 for r. -1 Solve -q - 5*g + 11 = 0, 36*q - 38*q + 48 = -3*g for q. 21 Solve 0*o + 2*o = 10*v - 116, 199*o - 89*o + 80 = 4*v + 105*o for v. 10 Solve -y + 411 = 2*h + 406, -3*y + 13 = 4*h for y. 3 Solve 5*a - 6*n - 1 = -13 + 9, 0 = 5*a - n - 12 for a. 3 Solve 3*l - l = -0*u + 4*u + 22, -35*u = -36*u + 40*l - 203 for u. -3 Solve 5*g - 4*k + k - 5 = 0, -4*g - 2*g + 7*g + 20*k - 1 = 0 for g. 1 Solve 40*p = 27*p - 5*k - 40, 5*p - 4*k = 57 + 52 for p. 5 Solve 7*b - 4*k - 276 = 0, -2*k - k - 69337 = -2*b - 69130 for b. 0 Solve -5*l + 38 = -n, 12*l - 2*n + 203940 - 204016 = 0 for l. 0 Solve 45 = 5*o - 5*a, -3*o - 25*a - 18957 + 18592 = 0 for o. -5 Solve 24*j - 206 = -2*s + 240, 2*j - 43 = s for j. 19 Solve 4*q + 18 = 2*i, 5*i - 1471 = i + q + 3*q - 1443 for i. 5 Solve -30*g - f - f + 126 + 22 = -48, 2*f - 110 = -17*g + f for g. 6 Solve 0 = 3*g - 2*s + 91, 174*s - 176*s = -114*g + 20 for g. 1 Solve -158795*b - 2*t + 133 = -158798*b, 3*b + 136 = -t for b. -45 Solve 4*r - 4*z + 112 = 0, -2665 = 10*r - 5*z - 2365 for r. -32 Solve -4*i - 12 = -w - 6*w + 5*w, -8*i = -10*i for w. 6 Solve 3*r + 2*h = -149, -2*h + 266 - 86 = r - 0*r - 5*r for r. -47 Solve s - 17270*c + 17263*c = 51, -5*s + 2*c = 9 for s. -5 Solve 57*r - 29*r + 2*w + 6 = 24*r, 2 = -4*r + 2*w for r. -1 Solve 2*s = -2*o + 10, 14 = -63784*o + 63788*o - 3*s - 34 for o. 9 Solve 8*h - 3*h = 8*h - 5*z + 45, 35*z = -h - 30*z + 60*z + 25 for h. -5 Solve -46625*f + 46628*f + g + 6 = 0, 2*f - 2*g + 28 = 0 for f. -5 Solve -208 = 4*t + 4*n, 44721 = -4*t + 4*n + 44529 for t. -50 Solve 9*y - 438*w = -442*w + 14, -3*w = 2*y - 20 for y. -2 Solve -5 = -6*s + 5*a, 2*s + 31*a = 6*s - 2*s + 34*a + 3 for s. 0 Solve -388*y - 2*g = -382*y + 34, -37*g = 4*y - 34*g + 76 for y. 5 Solve 2717*a - 2711*a + 3*q - 10 = 11, 50 = a - 15*q for a. 5 Solve 0 = 161*z - 313*z + 154*z - 12, -23*z + 144 = -3*o for o. -2 Solve -23 + 45 = 31*l + 3*r + 40, -4*r - 24 = 8*l for l. 0 Solve -4*l - 28*z - 94 = l, -3*l + 5*z = -33 + 46 - 22 for l. -2 Solve -4*k - 11*w + 10*w + 11 = 0, 14*k - 10*k + 4*w - 7*w - 31 = 0 for k. 4 Solve t + 33 = 3*m, 3*t + 176 = 179*m - 315 - 36 + 88 for m. 2 Solve -4*a - 88 = 4*n, 0 = -2*n - 5*a - 180202 + 180167 for n. -25 Solve -91*w - 3*b - 45 = -88*w, 15*b + 59 = -4*w + 12*b for w. -14 Solve -14 = 2*k, -2*i - 110*k = -0*i - 54*k - 55*k + 17 for i. -5 Solve 97*g - 14 = 3*t, 17*g + 6*t - 292 = 21*g - 0*g + t for g. 2 Solve -2*t + 4*y = -90, -4519*t - y - 20 = -4520*t for t. -5 Solve -3*i = -7*w - 14 + 1, 3*i = 5*w + 9166 - 9149 for i. 9 Solve 3*s - 32 = 5*k - 56, 3*s + 12 = -k - 2*s for k. 3 Solve 4*u - 876*z + 4750 = -446*z, 4*u = 2*z - 42 for u. -5 Solve 18*m + 2 = 8*m + 11*m - g, -13*m - 86 = 3*g for m. -5 Solve -48*q - 27 = -47*q - 14*t, -t = 0 for q. -27 Solve 6*z - 3*v = 144, 0 = 6*z - 0*v + 3*v + 7 + 173 for z. -3 Solve -z = 2*o + 13775376 - 13775448, -3*o + 95 = -5*z for z. 2 Solve 169*r + 21*b = 173*r + 80, -4*r = -b for r. 1 Solve 5*p = l, -9633*p + 9631*p + 3*l = 13 for p. 1 Solve 0 = 4*o + 1311*m - 654*m - 652*m + 31, 31*o = 4*m + 59 for o. 1 Solve -4*w + 2*y = -18, 1537*w - 4*y = 1535*w for w. 6 Solve -16 - 180 = 17*v + 3*x, -5*x = 5*v + 70 for v. -11 Solve 62*b - 180 = 58*b, 0 = 21*x + 2*b + b - 219 for x. 4 Solve -8*m - x - 26 + 116 = 0, -m + 11*x - 11 = 0 for m. 11 Solve 65*x - 60*x = 5*f - 50, 31*x + x = 2*f - 140 for f. 6 Solve 4*q - 2*h - 12 = 0, -778021*h + 778023*h + 17 = -q for q. -1 Solve 28 = 4*o + 4*h, 39133*o - 39135*o = 3*h - 21 for o. 0 Solve -6*w - 58 = -5*b, 4444 = -5*b - 5*w + 4469 for b. 8 Solve -4*a = -47*u - 30*u - 24*u - 101, 4*u + 5 = -u + 3*a for u. -1 Solve 4*q - 160 = 2*c - 314 + 162, -2*q = 4*c - 4 for q. 2 Solve -5*q = 3*s + 92, 0*s = 10*q + 4*s + 83 + 55 + 48 for q. -19 Solve -2*i = -6*d - 2*i - i + 22 + 144, -882 = -56*d - 4*i + 678 for d. 28 Solve 36011 = -4*n - c + 36020, 0 = 16*n - 2*c + 42 for n. -1 Solve 32*n - 13*n + 40 = 16*n + 3*l + 13, -5*n - 2*l - 13 = -3*l for n. -1 Solve 0*f + 5*t - 103 = 8*f -
{ "pile_set_name": "DM Mathematics" }