Datasets:
timaeus
/
pile-dm_mathematics

Dataset card Data Studio Files
xet
Community
text
stringlengths
270
8.19k
meta
dict
d'th term of -30, -57, -84? -27*d - 3 What is the f'th term of 232, 478, 738, 1018, 1324, 1662, 2038, 2458? f**3 + f**2 + 236*f - 6 What is the d'th term of -773, -765, -757, -749, -741, -733? 8*d - 781 What is the z'th term of 4, 46, 198, 514, 1048? 9*z**3 + z**2 - 24*z + 18 What is the w'th term of -97, -327, -703, -1219, -1869? w**3 - 79*w**2 - 19 What is the v'th term of 119, 113, 97, 65, 11, -71, -187? -v**3 + v**2 - 2*v + 121 What is the h'th term of -8, -13, -22, -35, -52, -73, -98? -2*h**2 + h - 7 What is the c'th term of 222, 416, 746, 1218, 1838, 2612, 3546, 4646? c**3 + 62*c**2 + c + 158 What is the z'th term of -37, -148, -331, -586, -913, -1312, -1783? -36*z**2 - 3*z + 2 What is the w'th term of 3146, 3144, 3142? -2*w + 3148 What is the w'th term of 59, 52, 47, 44, 43? w**2 - 10*w + 68 What is the k'th term of 295, 574, 853, 1132, 1411, 1690? 279*k + 16 What is the r'th term of 98, 59, 20, -19? -39*r + 137 What is the o'th term of 422, 848, 1274? 426*o - 4 What is the f'th term of 244421, 244426, 244443, 244478, 244537, 244626? f**3 - 2*f + 244422 What is the z'th term of 22, 7, -10, -29, -50, -73, -98? -z**2 - 12*z + 35 What is the c'th term of 127, 142, 155, 166? -c**2 + 18*c + 110 What is the u'th term of 179, 175, 171, 167, 163, 159? -4*u + 183 What is the i'th term of -655, -1314, -1987, -2680, -3399, -4150? -i**3 - i**2 - 649*i - 4 What is the r'th term of 3, -27, -89, -195, -357, -587? -2*r**3 - 4*r**2 - 4*r + 13 What is the k'th term of -613, -1223, -1833, -2443, -3053? -610*k - 3 What is the c'th term of -4993, -9985, -14977, -19969? -4992*c - 1 What is the u'th term of 487, 498, 523, 568, 639, 742, 883? u**3 + u**2 + u + 484 What is the o'th term of -18, -65, -144, -255, -398, -573, -780? -16*o**2 + o - 3 What is the n'th term of -65, -41, -3, 55, 139, 255? n**3 + n**2 + 14*n - 81 What is the t'th term of 11, 10, 3, -10, -29, -54, -85? -3*t**2 + 8*t + 6 What is the d'th term of 5, -7, -19, -31, -43, -55? -12*d + 17 What is the h'th term of -371, -372, -375, -380, -387, -396? -h**2 + 2*h - 372 What is the u'th term of 303, 597, 893, 1191? u**2 + 291*u + 11 What is the v'th term of 10, 22, 56, 124, 238, 410, 652? 2*v**3 - v**2 + v + 8 What is the w'th term of -3078, -6160, -9242, -12324, -15406, -18488? -3082*w + 4 What is the p'th term of 16, 56, 124, 220, 344? 14*p**2 - 2*p + 4 What is the i'th term of 1401, 2799, 4183, 5547, 6885, 8191? -i**3 - i**2 + 1408*i - 5 What is the c'th term of 1, 14, 29, 46, 65, 86, 109? c**2 + 10*c - 10 What is the f'th term of -33, -48, -79, -132, -213, -328, -483? -f**3 - 2*f**2 - 2*f - 28 What is the p'th term of 31, 70, 107, 142? -p**2 + 42*p - 10 What is the s'th term of -54, -99, -144, -189, -234? -45*s - 9 What is the u'th term of 9, 49, 117, 213, 337, 489? 14*u**2 - 2*u - 3 What is the a'th term of 220, 222, 224? 2*a + 218 What is the a'th term of -29, -49, -69, -89, -109, -129? -20*a - 9 What is the u'th term of -3347, -6692, -10037? -3345*u - 2 What is the l'th term of 323, 321, 313, 293, 255? -l**3 + 3*l**2 - 4*l + 325 What is the s'th term of 160, 153, 132, 91, 24? -s**3 - s**2 + 3*s + 159 What is the j'th term of -49, -63, -77, -91? -14*j - 35 What is the l'th term of 214, 475, 904, 1495, 2242, 3139, 4180? -l**3 + 90*l**2 - 2*l + 127 What is the b'th term of -120, -88, -30, 60, 188, 360, 582, 860? b**3 + 7*b**2 + 4*b - 132 What is the o'th term of 364, 1450, 3266, 5818, 9112, 13154, 17950? o**3 + 359*o**2 + 2*o + 2 What is the u'th term of 31, 89, 147, 205, 263, 321? 58*u - 27 What is the l'th term of -130, -128, -126, -124, -122, -120? 2*l - 132 What is the q'th term of 49, 49, 33, -11, -95, -231, -431? -2*q**3 + 4*q**2 + 2*q + 45 What is the g'th term of 29, 20, 11? -9*g + 38 What is the f'th term of -3, -13, -25, -39, -55? -f**2 - 7*f + 5 What is the c'th term of -4735, -18936, -42605, -75742? -4734*c**2 + c - 2 What is the z'th term of -81, -77, -73, -69? 4*z - 85 What is the t'th term of -53, -97, -141, -185? -44*t - 9 What is the l'th term of 1364, 1378, 1392? 14*l + 1350 What is the a'th term of 43, 43, 51, 73, 115? a**3 - 2*a**2 - a + 45 What is the g'th term of -8, -27, -48, -65, -72? g**3 - 7*g**2 - 5*g + 3 What is the d'th term of 30, 62, 100, 138, 170, 190, 192, 170? -d**3 + 9*d**2 + 12*d + 10 What is the x'th term of -4266, -4268, -4270, -4272? -2*x - 4264 What is the z'th term of 103, 183, 263, 343, 423, 503? 80*z + 23 What is the s'th term of 40, 173, 394, 703? 44*s**2 + s - 5 What is the i'th term of -80, -148, -216, -284, -352, -420? -68*i - 12 What is the t'th term of -441, -445, -451, -459, -469, -481, -495? -t**2 - t - 439 What is the a'th term of 132, 115, 72, -9, -140? -2*a**3 - a**2 + 135 What is the a'th term of -428, -854, -1280, -1706, -2132, -2558? -426*a - 2 What is the z'th term of 1329, 1340, 1357, 1380, 1409, 1444? 3*z**2 + 2*z + 1324 What is the k'th term of 44, 93, 174, 287, 432, 609, 818? 16*k**2 + k + 27 What is the b'th term of -1130, -1132, -1134, -1136? -2*b - 1128 What is the t'th term of 52, 33, 4, -41, -108, -203, -332, -501? -t**3 + t**2 - 15*t + 67 What is the u'th term of 204, 208, 202, 180, 136, 64? -u**3 + u**2 + 8*u + 196 What is the i'th term of 325, 671, 1019, 1369, 1721? i**2 + 343*i - 19 What is the c'th term of -3448, -6894, -10340? -3446*c - 2 What is the u'th term of 15, 43, 95, 183, 319, 515, 783? 2*u**3 + 14*u - 1 What is the c'th term of -39, -33, -27, -21, -15? 6*c - 45 What is the s'th term of 3, -17, -73, -183, -365, -637, -1017, -1523? -3*s**3 + s + 5 What is the p'th term of 3913, 7822, 11731, 15640? 3909*p + 4 What is the g'th term of 85, 68, 39, -8, -79, -180, -317, -496? -g**3 - 10*g + 96 What is the i'th term of -178, -180, -184, -190, -198? -i**2 + i - 178 What is the i'th term of -15, -2, 11? 13*i - 28 What is the y'th term of -161, -160, -159, -158, -157? y - 162 What is the x'th term of -18, 0, 38, 96, 174, 272? 10*x**2 - 12*x - 16 What is the i'th term of -68, -268, -626, -1160, -1888, -2828, -3998? -3*i**3 - 61*i**2 + 4*i - 8 What is the z'th term of 11, 120, 425, 1028, 2031? 17*z**3 - 4*z**2 + 2*z - 4 What is the m'th term of 1, -10, -27, -50? -3*m**2 - 2*m + 6 What is the s'th term of 7, -1, -17, -41? -4*s**2 + 4*s + 7 What is the a'th term of -9, -9, -7, 3, 27, 71? a**3 - 5*a**2 + 8*a - 13 What is the k'th term of -43, -166, -363, -628, -955, -1338? k**3 - 43*k**2 - k What is the u'th term of -514, -1034, -1554, -2074? -520*u + 6 What is the p'th term of -56, -71, -96, -131, -176, -231, -296? -5*p**2 - 51 What is the h'th term of -16, -40, -76, -130, -208, -316, -460? -h**3 - 17*h + 2 What is the u'th term of 39, 73, 115, 171, 247? u**3 - 2*u**2 + 33*u + 7 What is the q'th term of -51, -41, -31, -21, -11, -1? 10*q - 61 What is the n'th term of -30, -23, -12, 3, 22, 45? 2*n**2 + n - 33 What is the o'th term of -29, -19, -1, 25, 59, 101? 4*o**2 - 2*o - 31 What is the q'th term of 548, 1108, 1668, 2228, 2788? 560*q - 12 What is the f'th term of 94, 213, 354, 523, 726, 969, 1258, 1599? f**3 + 5*f**2 + 97*f - 9 What is the v'th term of -146, -118, -72, -8, 74? 9*v**2 + v - 156 What is the f'th term of -25, -16, -1, 20, 47, 80, 119? 3*f**2 - 28 What is the f'th term of -31, -40, -49? -9*f - 22 What is the r'th term of -1932, -1933, -1934, -1935, -1936? -r - 1931 What is the x'th term of -33, -84, -135? -51*x + 18 What is the g'th term of 109, 116, 141, 190, 269, 384, 541, 746? g**3 + 3*g**2 - 9*g + 114 What is the p'th term of 324, 1320, 2980, 5304, 8292? 332*p**2 - 8 What is the v'th term of 2693, 2690, 2687, 2684? -3*v + 2696 What is the v'th term of -83, -80, -77, -74, -71, -68? 3*v - 86 What is the o'th term of -2, -4, -18, -50, -106? -o**3 + 5*o - 6 What is the g'th term of 118, 106, 94, 82? -12*g + 130 What is the l'th term of -89, -74, -35, 40, 163, 346, 601, 940? 2*l**3 + l - 92 What is the l'th term of 70, 284, 650, 1174, 1862, 2720? l**3 + 70*l**2 - 3*l + 2 What is the t'th term of 26, 50, 90, 146, 218? 8*t**2 + 18 What is the f'th term of -4343, -4342, -4341? f - 4344 What is the l'th term of -21, -43, -63, -81? l**2 - 25*l + 3 What is the l'th term of -26, -184, -608, -1430, -2782, -4796? -22*l**3 - l**2 - l - 2 What is the j'th term of 32, 24, 10, -10, -36? -3*j**2 + j + 34 What is the o'th te
{ "pile_set_name": "DM Mathematics" }
s) = s**2 - 5*s + 1. Let c be r(l). Solve 4*a - 11 = -3*q, 3*q - c = -2*a + 6 for a. 2 Suppose -t = -l - 10, -t - 5*l + 0*l = 20. Solve -x + 0 = -5*b - 6, 2*x + t*b + 3 = 0 for x. 1 Let v(z) = z - 13. Let c(l) = 2*l - 25. Let y(d) = -6*c(d) + 11*v(d). Let s be y(0). Solve -4*j + 2*w = -16, 5*w - 12 = -s*j + 4*j for j. 4 Let m be (-29)/(-3) - (-1)/3. Suppose -j - m + 4 = -2*w, -3 = -w + 2*j. Suppose 5*p - 23 = -w. Solve -36 = -3*v - 2*v + 4*g, -v + p*g = -20 for v. 4 Let w = -15 + 19. Let q be (-4)/6 + (-4)/(-6). Suppose -5*p + 22 = -3*p. Solve -w*j - 5*z = 6 + p, q = 5*j + 4*z + 19 for j. -3 Let i = 0 + 2. Suppose -b = 3*c + i, -4*c + 4*b + 8 = -2*c. Solve -5*x - t - t - 24 = c, 0 = t + 2 for x. -4 Let i be 3/(((-9)/6)/(-1)). Suppose -4*p = 5*h - 20, -4*p = -i*h + 6*h - 20. Solve 2*d + p = u, -30 + 0 = 5*d + u for d. -5 Suppose 5*g - 4*g - 2 = 0. Let l be (4/6)/((-3)/(-9)). Suppose l = o - 3. Solve -5*f + 12 + 16 = -v, g*f = -o*v - 5 for v. -3 Let h be (-1)/((-15)/6) - 190/(-25). Solve 5*t = -4*y + 12 + 5, 4*t = 4*y - h for t. 1 Let y(v) = -2*v. Let u be y(0). Solve u*c - 3*c = 4*z + 1, -16 = -4*c - z for c. 5 Let h be ((-1)/(-3))/(-4 - 25/(-6)). Solve r + h*l = -0 + 1, -4*l = r - 1 for r. 1 Let n = 7 + -7. Let r be 3/(2/(n + 2)). Solve 3*j - 2 = -5*o, 0 = -2*j - r*j + o - 6 for j. -1 Let p be (3/(-6))/(((-7)/(-10))/(-7)). Solve -2*a + 5*a = -u - 12, -a - 20 = -p*u for u. 3 Suppose y + 5*f + 15 = -3*y, 0 = -y - f - 3. Suppose -38 = -2*u - a, 5*u - 5*a + 10 = 6*u. Solve u = d - 4*q, -d + y*q = 3*q + 8 for d. 4 Let s be 92/24 + 1/6. Solve s*k + k - 3*a - 23 = 0, k - 7 = 3*a for k. 4 Let j(v) = v**3 - 4*v**2 - 5. Let z be j(5). Let x = -3 - -21. Let s be 1/3 + 84/x. Solve -s*l = -2*i - z, l = -4*i + 5*l - 28 for i. -5 Let p(l) = 10*l - 6. Let s be p(1). Solve -z + 2*z - 4*y = 0, -3*z - s*y - 16 = 0 for z. -4 Let q be (-1)/2*(3 - 1)*-5. Solve -1 = 5*y + 3*r + q, 4*r = -4*y for y. -3 Let x be 6*(5/(-1))/(-10). Solve -x*h + k + 2 = 3*k, 5*k = h - 29 for h. 4 Let q = 1 + -3. Let v = 0 + q. Let j be ((-8)/(-3))/(v/(-3)). Solve -4*a + 7*g = 3*g - 16, 3*a + g - j = 0 for a. 2 Let h(b) = 2*b - 15. Let u be h(9). Solve -4*c + 2*t - 1 = -u, 4*c + 3*t = -3 for c. 0 Let r be 10/2 - 6/3. Let f = 24 + -59. Let q = -20 - f. Solve -4*g = -4*l + 4, r*g + 3*l + q + 12 = 0 for g. -5 Let k(i) = -9*i + 38. Let b be k(4). Solve -4*c = -x + 4, -b*c = 4*x - 3*x + 8 for c. -2 Let l(z) = -z**2 + 8*z + 8. Let i be l(8). Let y be (9/3)/6*i. Suppose v - 30 = -2*u, -2*v - v = -y*u - 40. Solve -4*r + 0*r + v = -4*g, -2*g - 3*r = 0 for g. -3 Let c be -3*(2 + 0)/(-2). Let p = -20 - -6. Let k be (p/21)/(1/(-3)). Solve -2 = 2*i - k*h, 11 = -4*h + c for i. -3 Let y(v) = v**2 + 5*v - 10. Let b be y(-7). Solve 4*c + 16 = 4*x, -x - 2*x - 5*c = -b for x. 3 Let b be 1 + 7 - 0*1/3. Solve -j - 2*j = -3*m, -4*j - b = 4*m for j. -1 Let v(r) be the third derivative of -r**5/60 - 3*r**4/8 + 2*r**3/3 - 2*r**2. Let q be v(-9). Solve -5*h + q = 4*j, 0 = -4*h + h - 4*j + 4 for h. 0 Let r(a) = a**3 - 7*a**2 - 18*a + 4. Let s be r(9). Suppose 0 = -i + 2*i - 6. Solve -4*y - s*p = -16, 5*p - i = -2*y - 1 for y. 5 Let n(o) = o**3 - 6*o**2 + 3*o + 4. Let d be n(5). Let q = d + 8. Let x = -2 - -6. Solve i + 2*i + 8 = -x*w, 0 = w + q*i - 3 for w. -5 Let w be ((-2)/8)/((-4)/48). Suppose 2*o - 150 = -w*o. Suppose -4*s - 3*b + 27 = -2, -3*s - 5*b = -o. Solve a + s*g = -5, -g + 8 + 5 = 3*a for a. 5 Let l(x) = -x**2 + 8*x - 10. Let h be l(5). Solve -h*r = 3*k, 4*k - 11 = 5*r - 46 for r. 3 Let h(y) = 2*y**3 + 1. Let l be h(1). Solve 0*w - l*w + 2*v + 8 = 0, 0 = -2*v - 2 for w. 2 Suppose 0 = z - 4*z + 6. Solve 4*s + 3*j = -10, 3*s - j - z*j = -18 for s. -4 Suppose x - 3*x + 6 = 0. Let y(a) = -a**2 + 2*a + 9. Let w be y(4). Solve 0 = -4*d + l + w, d - 2*l - x*l = 24 for d. -1 Let f be -1 + 1 - (-1 - 17). Solve -3*s + 4*s + 3 = 0, 4*h = -2*s - f for h. -3 Let a be (5 - 3) + 2 + 0. Suppose 0 = -8*i + 3*i - 2*r + 23, a*i - 5*r = -8. Let u be -1 - (-7 + 2/(-2)). Solve i*b - 5*m - u = 5, -5*m = 5*b - 20 for b. 4 Suppose 0 = -h + 4*n - 17, -3*h - 2*n + 5*n = 6. Solve -2*u + 8 = 4*i, -2*u - h*u = 3*i - 13 for u. 2 Suppose r = -r + 6. Solve 2*c = 2*p + c + 2, 0 = r*p + c + 8 for p. -2 Suppose 0 = -0*z - 5*z + 30. Let g = z - 6. Solve -3*t = -4*t + 2*j - 12, 4*t - j + 20 = g for t. -4 Suppose -5*h = -3*h. Solve -4*o - j - 23 = h, -2*o - o - 4*j = 27 for o. -5 Let o be -1 + -1*2/(-2). Let u(c) = c + 1. Let n(z) = -3*z - 8. Let i(a) = n(a) + 4*u(a). Let j be i(10). Solve 3*s = d - 0*s - j, o = 3*s + 3 for d. 3 Suppose 0*g = -g + 21. Let k = -5 + 10. Let z = 8 - 4. Solve -2*q = -k*s + g, -z*q - s = 3*s for q. -3 Let d be 4/10 + 26/10. Suppose 4*i = 4*n + 28, 4*i - 15 = 9*i + 5*n. Suppose v - 1 = -0*v - p, 5*v + p - 21 = 0. Solve -x = d*t - i*x + 5, -v*t - x = 11 for t. -2 Suppose 0 = 6*f - 0*f. Solve 4*d + r = 5, -2*d + 7*d + 2*r - 10 = f for d. 0 Let c be (-12)/28 + (-34)/(-14). Let p(u) = u - 2. Let b(y) = -y + 4. Let h(q) = 2*b(q) + 5*p(q). Let r be h(c). Solve r*v + 45 = -5*i, -i = 5*v + i + 35 for v. -5 Let u be ((-10)/(-2))/(4 + -3). Solve 0 = -3*f + u*b - 8, 3*b = -5*f - 4 + 2 for f. -1 Let i(x) be the first derivative of -x**3/3 - 4*x**2 - 7*x + 5. Let o be i(-6). Solve q - 2 = -l, -3*l + 4 + 6 = o*q for q. 2 Let x be (-18 - -12)/((-3)/2). Solve 0 = -x*p - 2*t + 30, 4*p - 7*t = -3*t for p. 5 Let c be (-23)/7 + (-6)/(-21). Let i be (-8)/(-4) - 1*c. Solve -3*d = -2*k - 7, d + 3*d = i*k for d. 5 Let w = 5 + 0. Suppose 20 = -z + w*z. Suppose -3*d = -10 - z. Solve 3*s + 0*s - 3 = -5*v, -d*v + 27 = -3*s for s. -4 Suppose 0*y = 3*y - 9. Suppose y*f = -2*f + 200. Solve 5*p = 5*q - f, 1 + 19 = -4*p for q. 3 Suppose 0 = 3*g + 4*h + 76, 0 = -g + 5*h - 13 - 6. Let t be (g/(-3))/(-2 + 4). Solve 3*m - 7 - 6 = -q, -t*q = 2*m - 12 for q. 1 Let u(y) = y - 6. Let c be -3 + (3 - -2) + 4. Let s be u(c). Suppose s = x - 5*x + 16. Solve 5*i = -2*j - 11, 3*i + x*j + 5 = 2*j for i. -3 Suppose 4*z - 54 = -5*h, -3*z + 14 - 61 = -5*h. Solve -4*c + 0*b = b - h, 2*c - 14 = -5*b for c. 2 Let n be (2/(-3))/((-2)/15). Let c(l) = l**2 + 19*l - 12. Let x be c(-20). Solve 2*b = -x, 3*z + 2*b + 10 = n*z for z. 1 Let l(r) = -r**2 - 24*r + 54. Let u be l(-26). Suppose -14 = -3*o - 5*q, 0*o + o - q - 10 = 0. Solve 2*f + o = u, x + 3*f = -14 for x. -5 Let i be (-56)/(-12) + 3/9. Solve 3*r + 3*s = 18, -s + 21 = i*r - r for r. 5 Suppose q - 4*p = -7*p + 6, q + 4*p - 6 = 0. Solve s = -n, n + s - 2*s = q for n. 3 Suppose 4*v = -0*v + w + 9, 12 = 4*w. Solve -4*x + 20 = -5*d, -3*d + 15 = v*x + d for x. 5 Let h(g) = g**2 + 8*g - 6. Let t be h(-9). Solve 7*p - t*p = -5*n - 11, -n - 11 = 3*p for n. 1 Let a = 6 + -3. Solve i + a*x + 6 = 2*i, -2*i + 3*x = -9 for i. 3 Let v(z) = 3*z**2 - z. Let o be v(1). Solve -5 + 2 = o*s + q, 2*q - 10 = 0 for s. -4 Let g(m) = 2*m**3 + 6*m**2 - 2*m - 1. Let b be g(-5). Let h be b/(-35) + 4/10. Solve 4*n - i - 6 = -h, -3 = -n + i for n. 0 Let n = 1 - -1. Let c = n + -2. Solve c = 3*o - 4*x - 7, 4*x = -2*o + 15 - 37 for o. -3 Suppose 0 = -0*j + 5*j. Solve -h + j*q - 2*q - 13 = 0, 0 = -2*h + 3*q + 9 for h. -3 Suppose -3*g + 2*d + 8 = -10, 5*d = -2*g - 7. Solve 4 = g*t - 2*x + 4*x, 5*x - 10 = -3*t for t. 0 Let h = 1 + 3. Suppose 6 = h*r - r. Suppose 14 = r*x - 18. Solve 2*k + 2*p + 0*p + 12 = 0, 4*p = -x for k. -2 Suppose -11 = -4*h + 17. Suppose 2*l + h = g, -2*l = -g + 2*g - 3. Solve -30 = g*j + 3*k, 3*j = -4*k - 26 - 3 for j. -3 Let u(d) be the first derivative of 5*d**2/2 - 2*d + 1. Let x be u(2). Solve 4*f - 5*r + x = -3*r, 2*r = 4 for f. -1 Let j = -6 + 7. Let r be (j/3)/((-2)/(-30)). Solve -10 = 2*o - 5*i - 0*i, -r*i = 5*o - 10 for o. 0 Suppose -13 - 13 = -2*x - y, 5*y - 25 = -3*x. Suppose -4*t = -7*t + x. Solve 15 = -5*b - t*o, o + 19 = -b - 4*o for b. 1 Suppose -k = 2*y - 4 - 2, 0 = 3*y - 5*k - 9. Solve 2*i + y*f + f - 6 = 0, -2*f = 2 for i. 5 Suppose 0 = -4*i - 2*g + 4, 4*i + 0*g = g + 10. Solve -3*w + 11 = -3*b + i, -4*b = w + 22 for w. -2 Let j(f) = -f - 2. Let y be j(3). Let b = y + 7. Let o be (1/(-1))/(b/(-6)). Solve -5*c + 24 = v, -10 = -o*c + 2 for v. 4 Suppose 4*w = 21 - 13. Suppose w*h = 4*u + 1 + 7, -2*h + 3*u = -6. Solve -2*b - 5*c + 15 = h, -5*b + 24 = -b + 4*c for b. 5 Suppose 0 = -a + 2, 3*f - a - 4 = -0. S
{ "pile_set_name": "DM Mathematics" }
3 + f*t**4 and give p. -8 Rearrange 5*b + 691 + 3*b - 3*b - 690 to the form r*b + i and give i. 1 Express -11*w**3 + 12 - 419*w**2 - 12*w + 420*w**2 + 13*w - 2*w**4 + 4*w**3 in the form k + u*w + o*w**3 + x*w**2 + j*w**4 and give j. -2 Rearrange -2679*m**2 + 17 + 2677*m**2 - 4 - 2*m**2 - 2*m**2 + 2*m**2 + (1 - 1 - 2*m)*(-2 + 2 + 2*m) to the form w + c*m + l*m**2 and give w. 13 Rearrange -r**3 - 3*r**2 + 29 - 93*r + 30*r + 36*r + 30*r to the form t*r**3 + p + y*r**2 + d*r and give p. 29 Express (h - 2*h + 2*h)*(7 - 1 - 4)*((0 - 1 + 0)*(-3 + 2 + 0) - 76 + 34 + 32)*(-13 + 13 - 2*h) in the form r*h**2 + f*h + y and give r. 36 Rearrange 441*a + 657*a - 4*a + 681*a + 85*a to the form r*a + t and give r. 1860 Express 1565 - 4*p - 1522 + 2*p in the form w*p + g and give g. 43 Rearrange ((0 - 5 + 3)*(2 + 2 - 2) - 4 + 2 + 4)*(38*h - 45*h + 25*h) to a*h + v and give a. -36 Rearrange -159*r**2 + 0 - 36 + 164*r**2 to the form d*r**2 + i + m*r and give d. 5 Express (-3 + 1 - 4)*(370*f - 62969 + 62969) in the form y*f + l and give y. -2220 Rearrange (2 - 2 + d + (-2*d + 5*d - 2*d)*(-4 + 5 - 3) - d + 3*d + 0*d)*(3*d - 13*d - 6*d) to q*d**2 + m + t*d and give q. -16 Express -2 - 86*v**2 + 1031*v**2 + 357*v**2 + 2 in the form r*v + n*v**2 + f and give n. 1302 Rearrange -3 + 3 + v**2 + 1579*v - 1579*v - 19*v**2 + v**2 - v**2 - 4*v**2 + (2 + 1 - 2)*(2*v**2 + 3*v**2 - 4*v**2) to r*v**2 + o*v + i and give r. -21 Rearrange l + l + 0*l + 3*l**2 + (-1 - l + 1)*(1 + 35*l - 2 - 3*l) to the form v*l + r + c*l**2 and give v. 3 Express -78*x + 20 + 124*x - 15 as y + z*x and give y. 5 Express -b - b + 4*b + (0 - 1 - 1)*(0 - 2*b + 0) + 27*b + 10*b - 18*b as w + j*b and give j. 25 Rearrange -1 + 12*p**3 + 147 + 5*p**3 - 14*p**3 to the form u*p**2 + c*p**3 + x + n*p and give x. 146 Rearrange 171*n**3 - 144*n**3 - n**2 + 5*n**2 to a*n**2 + t*n**3 + z*n + b and give a. 4 Rearrange 138 + 150 - 1096*g - 288 to f + o*g and give o. -1096 Express 4 + 3 - 5 - 1 + 15*g - 3*g**2 as k + l*g**2 + n*g and give l. -3 Rearrange 1272*d - 2359 + 1178 - 37*d + 1181 to m*d + r and give m. 1235 Rearrange -52*q**2 + 23*q**2 + 13*q**2 + 2*q + 19*q**2 to p*q + w + v*q**2 and give v. 3 Express -g + 2*g**3 + g + (-2*g + 0 + 0)*(0 + 0 + 2*g**2) - 2*g**3 + 0*g**3 + 0*g**3 - 39*g**3 + 38*g - 15*g - 24*g as u*g**2 + n*g**3 + b + t*g and give t. -1 Express (-2*p + 5*p - 2*p)*(4 + 3 - 6)*(5*p - 4 + 4 + (-8 + 12 + 8)*(0*p - 2*p - 2*p)) as m + w*p + i*p**2 and give i. -43 Rearrange -178*b**2 - 110 - 124*b**2 + 110 to y + d*b + r*b**2 and give r. -302 Express (-u + 7*u - 2*u)*(0 + 0 - 1)*((2 + 3 - 7)*(4 - 2 - 5) + 1 - 1 - 1 + (4 - 6 + 1)*(-3 + 4 + 0)) in the form d*u + q and give d. -16 Express 20325 + 20329 - 40659 - 196*u**2 in the form r*u**2 + h + q*u and give q. 0 Express (-2*l**2 + 3*l**2 + 0*l**2)*(-6*l + 7*l + 19*l) - l**3 - 3*l**3 + 0*l**3 + (0*l + l - 4*l)*(2*l**2 + 1 - 1) as h + v*l + x*l**2 + a*l**3 and give a. 10 Express -16*j**2 + 3 - 14*j - 1 + 19*j**2 in the form h*j + m*j**2 + g and give h. -14 Rearrange -3*q**2 + 0*q**4 + 2*q**4 + 4*q**2 + (q + 3 - 3)*(-2545 + 307*q**3 + 2545) to i*q**4 + y + l*q**2 + f*q + j*q**3 and give f. 0 Express 830*p**2 - 765*p + 383*p + 382*p as f*p**2 + c + r*p and give c. 0 Rearrange 1 - 4 + 2 + 5 + 16*d to the form u*d + j and give j. 4 Rearrange -392*n + 15 - 3*n**3 + 57*n**3 + 389*n - 15 to w*n + g*n**2 + t*n**3 + l and give t. 54 Rearrange (-1 - 2 + 1)*(2 + 0 + 0)*(93*i**3 + 169*i**3 + 73*i**3) to o + z*i + g*i**2 + n*i**3 and give n. -1340 Rearrange 8*u - 6 - 4*u**2 - 8*u - 75*u**3 + 77*u**3 to the form z + k*u**3 + o*u**2 + v*u and give k. 2 Express 15*h**2 - 57*h**2 + 14*h**2 + 19 + 24*h**2 as o*h**2 + u + k*h and give o. -4 Express (-2*v + 0*v + v)*(1 - 5 + 2) + (4 + 7 - 4)*(-7 + 5 + 10*v - 6*v) in the form y + x*v and give x. 30 Express -2 - 6881*u + 6950*u + 2 + (2 + 1 - 4)*(3*u + 0*u - 2*u) as j*u + h and give j. 68 Rearrange 165*r + 49*r + 504 - 505 to the form q*r + s and give q. 214 Rearrange 1056*y**2 + 1 - 2 - 1506*y**2 to p*y + z + o*y**2 and give o. -450 Rearrange (-21 + 281 + 218 + 93)*(x**2 + x - x) to j*x**2 + g*x + s and give j. 571 Rearrange 2*v**2 - 72*v**2 + 7*v**2 + 24*v**2 + 13*v**3 + 15*v**2 to y*v**2 + a*v + m*v**3 + d and give y. -24 Rearrange (-5 + 5 - 7*d)*(-19 - 6 + 4)*(d**2 - 2*d**2 + 0*d**2) to z*d**2 + y + x*d**3 + a*d and give x. -147 Express 18083*m**3 - 6*m + m**2 - m**2 - 18269*m**3 as r*m**2 + i*m**3 + h*m + d and give i. -186 Rearrange (-3 - 2 + 4)*(-28*d + 26*d + 62*d) to v + u*d and give u. -60 Rearrange -58*f + 5*f - 50*f to the form h*f + p and give h. -103 Rearrange (0*r - r**2 + 0*r)*(2*r + 0*r + r)*(-1 + 2 + 1) - 484*r + 27*r**3 + 484*r to the form a + k*r + j*r**3 + c*r**2 and give j. 21 Rearrange 2*o**2 + 106*o + 0 - 4 + o**3 - 5 + 3 - 108*o to a*o + z*o**2 + x*o**3 + m and give x. 1 Express -1 - 2 - 2*r + 3*r**2 + 2 as k + u*r**2 + z*r and give z. -2 Express 184 - 84 + w + 71 - w - w in the form b + n*w and give b. 171 Rearrange i + 0 + 0 + (53*i + 710*i - 170*i)*(-3 + 5 + 0) to the form u + s*i and give s. 1187 Express 1 + 5 - 3*f**2 + 2*f - 2*f + f + f**3 as q + k*f**2 + h*f + z*f**3 and give z. 1 Express (-2*n + n - n**2 + 0 - 2)*(4*n - 31 + 17 - 5*n) in the form i + b*n + j*n**2 + o*n**3 and give i. 28 Express 0*m**2 - 4*m**2 + 5*m**2 + (439 - 439 + 280*m)*(-m - m + 3*m) as f*m + h*m**2 + k and give h. 281 Express 741 + 3*n**2 - 742 - 2*n**2 - 109*n + 0*n**2 in the form d*n**2 + h + j*n and give d. 1 Rearrange 12*r**2 + 20*r**2 - 2*r - 16*r**2 + 5*r**2 + 19*r**2 to the form m + w*r**2 + v*r and give w. 40 Rearrange -10*a**3 - 3 + 0 + 1 + 150*a - 151*a - 4*a**4 to o*a**2 + m*a**4 + p + c*a + s*a**3 and give s. -10 Rearrange -920 + 17*w - 18*w + 934 to n + j*w and give j. -1 Rearrange f**3 - f**4 - f**3 + (-1 - f**3 + 1)*(-4*f + 2 - 2*f - 8*f) to m*f**2 + c*f + h*f**3 + g*f**4 + d and give g. 13 Express -17 - 17*c + 17 - 6*c + 0*c + 4*c - 5*c + c + 2*c + (-c + c - 2*c)*(5 - 3 + 2) as m*c + j and give m. -29 Express -211*y**4 + 3*y**3 + 108*y**4 - 2*y + 105*y**4 - 3*y in the form u*y + p*y**4 + x + f*y**3 + d*y**2 and give f. 3 Express 170 - 170 + 62*v + 270*v as p + d*v and give d. 332 Rearrange 28881*a**2 + 7*a**3 - 44 - 28882*a**2 - 4*a**3 to the form w*a + b*a**3 + z*a**2 + i and give i. -44 Rearrange -2*q**3 - 6*q**3 - 8*q**3 - 7*q**3 - 81 + 22*q**3 to z*q**3 + f*q + g + i*q**2 and give g. -81 Express (-3*f + 3*f + f**3)*(67*f + 74*f - 142*f + 231) as s*f + x*f**2 + p*f**3 + d*f**4 + c and give x. 0 Rearrange -184*j**2 + 77*j + 34*j**2 - 78*j to the form q*j + a + v*j**2 and give v. -150 Express (-2*g + 2*g - g)*(-3*g**2 - 3*g**2 + 4*g**2) - 12*g**3 + 27*g**3 + 38*g**3 as q*g**2 + s + z*g + l*g**3 and give l. 55 Rearrange (0*r - 2*r - r)*(-432*r**2 - 190*r**2 - 168*r**2) to the form a*r + o*r**3 + i*r**2 + n and give o. 2370 Express (-80 + 142 - 78)*(233*p**3 - 233*p**3 + 13 + 2*p**4) in the form i*p + b*p**2 + s*p**4 + v*p**3 + r and give s. -32 Express (-9 + 9 - 2*q)*((1 + 2 - 1)*(2 + 4 - 7) - 97 - 4 - 45) as x + m*q and give m. 296 Rearrange -q**2 - 24*q + q**4 + 19*q**3 - 14*q**3 + 1 + 22*q to the form m*q**2 + p*q**3 + w + s*q + j*q**4 and give p. 5 Express (-1 + 1 - k)*(0*k - 2*k + k) + (-2*k - k + k)*(69 + 186 - 2*k - 341) as r + q*k + u*k**2 and give q. 172 Express (-4 + 3 + 3)*(3*h + 0*h - 5*h) + 160 - 162 + 50*h + 41*h as f*h + d and give f. 87 Express 3*i - 4*i**4 + 2 + 176*i**2 - 2*i**3 - 178*i**2 + 5*i as u*i**3 + p + j*i**4 + w*i + a*i**2 and give p. 2 Express 3 - 7 - 4 + 9 - 4*z + 16*z**2 in the form h*z**2 + t*z + w and give t. -4 Express (3 + 0 - 2)*(-5*r + 6*r - 3*r)*(-1 + 3 + 0)*(-212*r - 228106 + 228106) in the form h*r**2 + t*r + f and give h. 848 Rearrange 3*y**2 + 0*y**2 - y**2 - 2 + 2 + y**2 + (-2 - 1 + 2)*(-y**2 + y**2 - 3*y**2) - y - 3*y**2 + y to the form v + k*y + q*y**2 and give q. 3 Express (4 - 3 - 2)*(3 - 5 + 1)*(-2 + 4 - 1)*(1533*l - 973*l - 806*l) in the form u*l + b and give u. -246 Rearrange -1933*x - 1 - 2 + 1935*x - 2*x**2 + 4 - 8*x**3 to j*x + d + p*x**3 + o*x**2 and give p. -8 Express -7*l**3 - 8*l**2 - 77*l + 2 + 77*l + 16*l**3 + 4*l**2 in the form c + o*l + u*l**3 + x*l**2 and give u. 9 Express -d**2 - 777 - 55699*d + 55699*d in the form s*d + y + l*d**2 and giv
{ "pile_set_name": "DM Mathematics" }
common multiple of 18*3*(-6)/(-27) and 6. 12 Let k be 8/48610*25/(-10). Let y = k - 432621/19444. What is the common denominator of 265/4*2/(-40) and y? 16 Let m = 9 + -6. Let h = m - 32. Let u = -17 - h. Calculate the least common multiple of u and 8. 24 What is the lowest common multiple of (-13)/39 - 49/(-3) and 12? 48 Let d be ((-4)/(-1530) - 0)*-6. Let l = 378572/555 - 34074617/50320. Let i = l + d. Calculate the common denominator of i and -97/22. 176 Let t = -13/6 + 1/42. Find the common denominator of 93/8 and t. 56 Suppose -24 = -4*m - h - 3*h, 2*m = -4*h + 14. Suppose 0 = 2*l + 8 + 52. Calculate the least common multiple of ((-2)/5)/(6/l) and m. 10 Suppose -56 - 40 = -4*r. Suppose 21 = 5*v - r. Calculate the least common multiple of 2 and v. 18 Let k = 3 - 7. Let h = 0 - k. Let v = 6 - h. What is the least common multiple of v and 14? 14 Let w(u) = u**3 - 3*u**2 + 4*u - 3. What is the lowest common multiple of w(2) and 9? 9 Suppose 0 = 4*b + 20, 4*b + 0 = 3*n - 5. Let x = n - -9. Suppose 2*z - 40 = -4*u, 5*u - 5*z + 3*z = 32. What is the least common multiple of x and u? 8 Let h(i) = -2*i**2 + 3*i - 1. Let y(j) = 3*j**2 - 4*j + 1. Let k(q) = -4*h(q) - 3*y(q). Let p = 0 - 0. What is the least common multiple of k(p) and 8? 8 Let q = -36 + 41. Calculate the smallest common multiple of q and 4. 20 Suppose 0 = 4*l - 0*l - 12. Suppose 6 - 66 = -l*g. Calculate the least common multiple of g and 16. 80 Let a be 1*2*(-57)/(-38). Let b(o) = -o**3 - 3*o**2 + 1. Let i be b(-2). Calculate the common denominator of -89/8 and i*((-51)/(-12) - a). 8 Let v be (2/(-5))/((-3)/10068). Let m be 138/10*4111/(-42). Let k = v + m. Find the common denominator of k and 71/20. 140 Let p = -7 + 9. What is the common denominator of -35/8 and p/(-4)*130/(-3)? 24 Let c = 2/4457 - -521429/89140. Calculate the common denominator of 2*(267/24 - 0) and c. 20 Let n be 6/(-21) - 502058/73780. Let x = n + -5/527. Calculate the common denominator of 1 - (179/30 + 4/(-30)) and x. 30 Let w = -5398703/12 + 449599. Let u = -1081/4 - w. Calculate the common denominator of u and 42. 3 Suppose 0 + 3 = r. Suppose -4*i + k = -45, 0*i - 5*i + r*k = -51. Calculate the least common multiple of i and 8. 24 Let z = 4 + 0. Suppose 0 = 7*j - 9*j + 4. Calculate the smallest common multiple of z and j. 4 Let l = 582/7 - 1105/14. What is the common denominator of -1*1 + (-123)/(-48) and l? 112 Let d be (-1115649)/(-66) - 1/(-1). Let h = -15278 - 1630. Let r = h + d. Calculate the common denominator of -17/6 and r. 66 Let y(o) = -89*o**3 + 5*o**2 + 4*o - 6. Let x be y(5). Let w = x - -109753/10. What is the common denominator of 34/9 and w? 90 Let p = -4555 - -2241. Let j be p/60 - 1 - -1. Let w = -297/5 - j. Calculate the common denominator of w and 13/20. 60 Calculate the smallest common multiple of 6 and (-4)/(-2) + 3 - -3. 24 Let w(l) = -4*l**3 - 2*l**2 - l. Suppose -99 = -4*b - 5*b. Calculate the smallest common multiple of b and w(-1). 33 Suppose 3*n = 18 + 24. What is the smallest common multiple of n and 2? 14 Let q(d) = -19*d + 12. Let t be 12*2*(-3)/(-9). Let r be q(t). Find the common denominator of (-4)/(-10) - (-326)/r and 91/16. 112 Let p = 13 + 3. Let n = -8 + p. Suppose 3*c + d = 8*c - 40, -3*c + 47 = 4*d. Calculate the lowest common multiple of c and n. 72 Let o = -4218/2765 - -2/1185. Find the common denominator of -59/33 and o. 231 Suppose -3*t + 5*j = -24, -2*j = -t + 2*t - 8. What is the smallest common multiple of 2 and t? 8 Let r be 14/(-2)*-3 - -2. Let x = 39 - r. Calculate the common denominator of (118/x)/(9/(-4)) and 109/10. 90 Let a(p) = 5*p + 1. Let b be a(2). Let v(t) = 193*t**2 + 1 - 183*t**2 - t**3 - 12 + 13*t. What is the lowest common multiple of 4 and v(b)? 44 Let s = 109 - 93. Calculate the lowest common multiple of s and 14. 112 Suppose -22 = 5*y + 3. Let f = y + 5. Suppose f = 2*h, -4*c + 3*h + 39 = -33. Calculate the smallest common multiple of c and 4. 36 Suppose 3*h - 123 = -4*d + 179, -2*h + d = -205. Let z be h*(2 - (-41)/3). Let u = z + -9473/6. What is the common denominator of 1/4 and u? 12 Suppose -2 = -0*b + b. Let a(g) = -6*g + 2. Suppose -i + 3*i - 16 = 0. Calculate the lowest common multiple of a(b) and i. 56 Let u be 0*(9/6)/3. Suppose 2*a - a - 1 = u. What is the common denominator of (5/3 - a) + 5 and 52/3? 3 Let s = -36920/2409 - 6/803. Find the common denominator of s and -3/2. 6 Suppose -476 + 44 = 2*o. Let l = o - -383/2. Calculate the common denominator of l and -48. 2 Let r = 6 + -3. Suppose -36 = 5*g - r*g. Calculate the common denominator of -67/6 and (-153)/6*2/g. 6 Let v = 3883/35 - 1395/14. Calculate the common denominator of 109/18 and v. 90 Let k(u) = -6*u + 10. What is the least common multiple of 86 and k(-1)? 688 Calculate the smallest common multiple of 8 and (-231)/(-15) - 12/(-20). 16 Suppose -5*s + 77 = -33. What is the smallest common multiple of s and 2? 22 Let u = -76 - -82. Calculate the least common multiple of u and 6. 6 Let t = -45 - -76. Suppose 6*n - n + 2*i = -106, -34 = 2*n - 2*i. Let c = t + n. Calculate the lowest common multiple of c and 16. 176 Let t(u) = u**3 - 9*u**2 + 3*u - 12. Let q be t(9). Let k = q - 6. What is the lowest common multiple of k and 8? 72 Let p = -17 - -31. Calculate the least common multiple of (-4)/14 + (-132)/(-21) and p. 42 Calculate the least common multiple of 9 + 0 + 6/(-2) and 4. 12 Let z = -16283/4 - -4048. What is the common denominator of z and ((-4)/(-14))/(12/(-973))? 12 Let j be 0/5 - 3*1. Calculate the least common multiple of j/(-9) + (-8)/(-3) and 2. 6 Let i be -1 + (-1 - 447/825). Let a = i + 34/25. What is the common denominator of 31/12 and a? 132 Let q = 2957/4578 - 1/327. What is the common denominator of q and -31/2? 14 Find the common denominator of (106/4)/(3 - 4) and (-11)/2*(-4)/20. 10 Suppose 0 = -6*b + b + 10. What is the least common multiple of b and 9? 18 Let l(q) = 6*q**3 - q**2 + 2*q + 1. Let t be l(-2). Let s = t + 91. Suppose 0*b + s = 3*b. What is the smallest common multiple of b and 12? 12 Suppose -2*h - h - 9 = 4*j, -3*h - 18 = j. Let i = h + 19. Calculate the lowest common multiple of i and 35 - (3 - 1) - 3. 60 Calculate the common denominator of 107/12 and (-3 + 475/(-60))*2/3. 36 Let m = 148/55 - -2/5. Calculate the common denominator of m and -31/8. 88 Let a be (-2 - -2 - 21) + -3. What is the lowest common multiple of 7 and 1/(-4) + (-78)/a? 21 Suppose -122 - 63 = -f. Suppose -2*i - 135 = f. What is the lowest common multiple of 6 and 6/(-5)*i/12? 48 Let n be 1023914/140 + 9/21. Let p = n + -7307. Find the common denominator of 10/3 and p. 30 Let n = 8 + 8. What is the least common multiple of n and 14? 112 Let p be (3 + -1)*2*5. Let r = -13 + p. Suppose 5*a = -0*s - 4*s + 45, -a + s + 9 = 0. What is the lowest common multiple of r and a? 63 Suppose 2*h - 36 = -4*k, 2*k + 4 = 12. What is the lowest common multiple of h and 4? 20 Suppose 0*m - 2*m = -4. Let d(v) = v + 15. Let r be d(-7). Let i(t) = -t**2 + 12*t - 10. Calculate the lowest common multiple of m and i(r). 22 Suppose 2*z - 14 = -4*d, 5*d + 3*z + 4 - 20 = 0. Suppose -g + 2 = 0, -11 + 61 = 5*t - d*g. Let b = -359 - -379. Calculate the lowest common multiple of b and t. 60 Let n = -777/8 + 97. What is the common denominator of n and 139/12? 24 Let j be 9/(-4) + (-3)/(-12). Find the common denominator of -61/2 and (j/6)/(3/14). 18 What is the least common multiple of (-1 - 19)*8/(-8) and 14? 140 Let x = 36 + -12. Suppose 5*r - 2*r = 30. Calculate the least common multiple of r and 16/1*x/32. 60 Suppose 0 = w + 4*v + 18, 0 = 5*w - 2*v + 6*v + 10. Suppose -3*n + w*n + 7 = 0. What is the least common multiple of n and 2? 14 Let y = 8 + -6. Suppose -11 = 5*h + 4*k, -2*k - 14 = y*h + 2*k. Let p = -12 - -23. Calculate the lowest common multiple of p and h. 11 Let m = 4 + -2. What is the common denominator of m + 6/(-20)*19 and 17/10? 10 Let d = 114 - 99. What is the lowest common multiple of d and 3? 15 Suppose -3*w = 7138 + 1010. Let p = w + 32483/12. Find the common denominator of p and ((-8)/288)/(-1 - 75/(-74)). 36 Suppose -4*t - 12555 - 1581 = 0. Let c = t + 38906/11. Calculate the common denominator of (1 + 26/(-6))*-12 and c. 11 Let p(v) = v**3 + 4*v**2 - 2*v + 3. Let j be p
{ "pile_set_name": "DM Mathematics" }
g order. -192, -39, -30, -1, 3, 4 Put -5, 1, 26, -4, 7, 3 in ascending order. -5, -4, 1, 3, 7, 26 Put 36, 2, 299, 5 in increasing order. 2, 5, 36, 299 Sort -1, 5, 63, -14, 1 in descending order. 63, 5, 1, -1, -14 Sort -0.3, -0.04, -1/58, 0.3, -1/23 in ascending order. -0.3, -1/23, -0.04, -1/58, 0.3 Put 3, 5, -31582, -2 in descending order. 5, 3, -2, -31582 Sort -116, -1, 0, 4, 3, 38 in decreasing order. 38, 4, 3, 0, -1, -116 Sort 4, -3, 1, -76696 in decreasing order. 4, 1, -3, -76696 Sort -607, -4, 3, -3, 16. -607, -4, -3, 3, 16 Sort -1030, 1.15, 1 in decreasing order. 1.15, 1, -1030 Sort -47, 0, -4, -2, 2, 1 in increasing order. -47, -4, -2, 0, 1, 2 Put -2/3, -4/227, -0.4, -0.5 in decreasing order. -4/227, -0.4, -0.5, -2/3 Sort 4, -2/9, -0.1, 113.4, -5 in descending order. 113.4, 4, -0.1, -2/9, -5 Sort -1501, 4, -162. -1501, -162, 4 Put -10, -153, 0.04 in descending order. 0.04, -10, -153 Put 1, -7/40, 0.09, 0, 1/24, -1 in decreasing order. 1, 0.09, 1/24, 0, -7/40, -1 Sort 2/7, -2/37, 4, 2, 34/3, -5 in decreasing order. 34/3, 4, 2, 2/7, -2/37, -5 Put -3, -1935, 67 in ascending order. -1935, -3, 67 Sort -4, -8, -273, 4, 3 in decreasing order. 4, 3, -4, -8, -273 Put 1, 3/82, -119 in descending order. 1, 3/82, -119 Sort 4, -42, -5, 3, -4 in decreasing order. 4, 3, -4, -5, -42 Put -4/7, 0.4, -3150332 in descending order. 0.4, -4/7, -3150332 Sort 3/62, 0.3, 35/16, 2/3, -4/5. -4/5, 3/62, 0.3, 2/3, 35/16 Sort -1, -14, -2/7, 122, 9. -14, -1, -2/7, 9, 122 Sort -833, -2, 47, 3 in descending order. 47, 3, -2, -833 Put 5, 31, 19, 55 in ascending order. 5, 19, 31, 55 Sort 2, -17, 3780, -2 in increasing order. -17, -2, 2, 3780 Sort 33, -1/4, -0.09, -8 in descending order. 33, -0.09, -1/4, -8 Sort -2/17, -4/7, -0.5, 46, 1. -4/7, -0.5, -2/17, 1, 46 Put 16, -2/5, -3/4, 2, 4 in decreasing order. 16, 4, 2, -2/5, -3/4 Put 50, 22, 4, -4, -2 in descending order. 50, 22, 4, -2, -4 Put -13, -4, -5, 5, 10, 31 in ascending order. -13, -5, -4, 5, 10, 31 Put -18, 5, -1428, 4 in ascending order. -1428, -18, 4, 5 Put -6, -9, 33, 5, -2 in decreasing order. 33, 5, -2, -6, -9 Sort -0.3, -0.9, -19077, 0.3 in decreasing order. 0.3, -0.3, -0.9, -19077 Sort -1/12, 5, -2, -1, 3/2, -80 in ascending order. -80, -2, -1, -1/12, 3/2, 5 Put -2, -1, -25518 in descending order. -1, -2, -25518 Sort -0.03, -283, 0, -0.11 in descending order. 0, -0.03, -0.11, -283 Put 758, -4, 323 in ascending order. -4, 323, 758 Sort -1, 10, 117 in decreasing order. 117, 10, -1 Sort -64, 35, 22 in descending order. 35, 22, -64 Sort 5, -15, -5, -28, -528, -2. -528, -28, -15, -5, -2, 5 Sort 18, 1, -4/3, -10, -4.8. -10, -4.8, -4/3, 1, 18 Sort 0, -983.1, 7 in ascending order. -983.1, 0, 7 Sort 0, -39, 1, -3, -25 in descending order. 1, 0, -3, -25, -39 Sort 3/2, 1.45, 4, 101 in descending order. 101, 4, 3/2, 1.45 Put 8480, 1, -2 in decreasing order. 8480, 1, -2 Put -0.03, -2, 1/5, 4.35, 0.1 in descending order. 4.35, 1/5, 0.1, -0.03, -2 Put 0, -10/13, 1/2, -0.3, 3 in increasing order. -10/13, -0.3, 0, 1/2, 3 Sort -3, -6, -5973. -5973, -6, -3 Sort -11, -4, 4362, -1 in decreasing order. 4362, -1, -4, -11 Sort -2848, 2, -10, 0, 1 in decreasing order. 2, 1, 0, -10, -2848 Sort -3, 71, 0, 40, -5, -4. -5, -4, -3, 0, 40, 71 Sort -5, 9, 87, 34 in increasing order. -5, 9, 34, 87 Sort -5, 38, -1489, -2, 5 in descending order. 38, 5, -2, -5, -1489 Put -2, -15206, 8 in descending order. 8, -2, -15206 Put 2/9, 0, 1/5, -2/17, -3, 66 in increasing order. -3, -2/17, 0, 1/5, 2/9, 66 Sort 0.02, 28, 16/7, -0.3 in descending order. 28, 16/7, 0.02, -0.3 Sort 1/4, -1, 2/7, 20, -2/143. -1, -2/143, 1/4, 2/7, 20 Sort 1, -5, 5, 16822, 13, 4 in descending order. 16822, 13, 5, 4, 1, -5 Put 27, -3, -4, 3, 8 in descending order. 27, 8, 3, -3, -4 Sort 520, -67, 1 in decreasing order. 520, 1, -67 Sort 5, 14, -5, -699, 3, -4. -699, -5, -4, 3, 5, 14 Put 5, -13, 1, -4/7, 0.2 in decreasing order. 5, 1, 0.2, -4/7, -13 Put -10, -133, -23 in descending order. -10, -23, -133 Sort 30, 0, 2, 41 in ascending order. 0, 2, 30, 41 Put 4, -28, 31, -1, 2, 5 in increasing order. -28, -1, 2, 4, 5, 31 Sort 9, 5, 3, 135, 4 in ascending order. 3, 4, 5, 9, 135 Put -245, 5, -4 in decreasing order. 5, -4, -245 Put -455, -2, -263 in ascending order. -455, -263, -2 Put -4, -3, -1332, 2, 4 in descending order. 4, 2, -3, -4, -1332 Sort -304, -1, 0, -3, -0.1 in increasing order. -304, -3, -1, -0.1, 0 Put 22, 0, -8, 4, -4, 15 in increasing order. -8, -4, 0, 4, 15, 22 Put 0, -13/87, -5, -0.3 in increasing order. -5, -0.3, -13/87, 0 Sort -4, -1, 1514, -2, 40, -5 in descending order. 1514, 40, -1, -2, -4, -5 Put 5, 2/5, 462.2 in decreasing order. 462.2, 5, 2/5 Put -8, 3, 316, -5, 19 in descending order. 316, 19, 3, -5, -8 Sort -1998, 2, -5, -3. -1998, -5, -3, 2 Sort -4216, -4, 10 in descending order. 10, -4, -4216 Sort -84/169, 5, 2/5, 1. -84/169, 2/5, 1, 5 Put -5, -1, 0, -10, 5 in descending order. 5, 0, -1, -5, -10 Sort -7, 19, -5, 3, 0 in ascending order. -7, -5, 0, 3, 19 Put -16, 1/4, 3/14, -1/4, 0.3, 0.1 in ascending order. -16, -1/4, 0.1, 3/14, 1/4, 0.3 Put -2, -1/189, 1, 0, -3/10 in decreasing order. 1, 0, -1/189, -3/10, -2 Put -2/11, -3, 5, -255/14 in ascending order. -255/14, -3, -2/11, 5 Sort -8, -3, -4, 3, -742 in increasing order. -742, -8, -4, -3, 3 Put 0.75, 1/4, 31, 1, 2 in increasing order. 1/4, 0.75, 1, 2, 31 Sort 6, 1/2446, -0.5 in ascending order. -0.5, 1/2446, 6 Put -2, -889, 0, 16, 2 in increasing order. -889, -2, 0, 2, 16 Put -1, 2, 3, 5, -1877 in descending order. 5, 3, 2, -1, -1877 Put 255/4, 1/5, 0.3, -0.5, 0, -3 in increasing order. -3, -0.5, 0, 1/5, 0.3, 255/4 Put 22, 1, 0, 11, -6 in descending order. 22, 11, 1, 0, -6 Sort 0.07, -498, -0.4 in descending order. 0.07, -0.4, -498 Put 0.3, 121329, 1, -3, 4/9, 5 in increasing order. -3, 0.3, 4/9, 1, 5, 121329 Put 5, 514, -0.4, 4, 11/7 in increasing order. -0.4, 11/7, 4, 5, 514 Sort -1, 1/3, 2/5, 4/5, -6, 4 in increasing order. -6, -1, 1/3, 2/5, 4/5, 4 Sort -2520, -2, -18. -2520, -18, -2 Sort -2, 7, -19048 in ascending order. -19048, -2, 7 Sort 279, 5/6, -1 in decreasing order. 279, 5/6, -1 Put 3, 571, 6, 5 in decreasing order. 571, 6, 5, 3 Sort 219, 4, 0, 20 in increasing order. 0, 4, 20, 219 Sort -2/11, -3, 18/7, 0.2, -5 in decreasing order. 18/7, 0.2, -2/11, -3, -5 Sort -3, -14.7, 576, -5 in ascending order. -14.7, -5, -3, 576 Sort -5, -0.3, 5, -44/5, -2/3, -7/5 in descending order. 5, -0.3, -2/3, -7/5, -5, -44/5 Sort -26, 2/9, -10/2017 in decreasing order. 2/9, -10/2017, -26 Put -2, -13, 4, 1, -1 in increasing order. -13, -2, -1, 1, 4 Sort -490, 1, -18, -5, -1 in descending order. 1, -1, -5, -18, -490 Sort 1/2, 16, -1/7, -390 in decreasing order. 16, 1/2, -1/7, -390 Sort -20, -3, -28, 2 in ascending order. -28, -20, -3, 2 Put -341, 2616, -2/7 in descending order. 2616, -2/7, -341 Sort 5, 2554, 2, -5, -1, 35 in ascending order. -5, -1, 2, 5, 35, 2554 Put 1, 30, -144, 3 in decreasing order. 30, 3, 1, -144 Put -3, 20, 1144, 2, 4 in descending order. 1144, 20, 4, 2, -3 Sort 13, 1798, 1, 3. 1, 3, 13, 1798 Put 7, 4, -58, 2 in decreasing order. 7, 4, 2, -58 Sort 4, 17, 5/214, -5/3. -5/3, 5/214, 4, 17 Sort -1, 8, 0, -948 in decreasing order. 8, 0, -1, -948 Sort -2, -2/7, -3, 5.7815. -3, -2, -2/7, 5.7815 Sort -15, 4, 5, -489. -489, -15, 4, 5 Put 3/1901, -2/9, -3 in increasing order. -3, -2/9, 3/1901 Put 3, -10, -4/11, -0.4, -1.11 in increasing order. -10, -1.11, -0.4, -4/11, 3 Put 0, -2, -5, 32, 5 in ascending order. -5, -2, 0, 5, 32 Put -4, 22, 1410, -2 in ascending order. -4, -2, 22, 1410 Sort 4, 15, 0, 565 in ascending order. 0, 4, 15, 565 Sort -4, -721, 18, 1 in increasing order. -721, -4, 1, 18 Sort -242, 1/5, -2/2361, 0.3, 5. -242, -2/2361, 1/5, 0.3, 5 Put 3430, -4, -2 in decreasing order. 3430, -2, -4 Sort 5, 0, -2, 0.3, -0.47, -1524. -1524, -2, -0.47, 0, 0.3, 5 Sort 3, -14, 1, 7, 5, 246. -14, 1, 3, 5, 7, 246 Sort 1/10, 0.049, -1/11, 1/27. -1/11, 1/27, 0.049, 1/10 Sort -4, 5, -918 in decreasing order. 5, -4, -918 Sort -15, 1, 24, -4. -15, -4, 1, 24 Sort 3, 1.2, 5, 1, -1, 2/447 in decreasing order. 5, 3, 1.2, 1, 2/447, -1 Put 2, 489, -32, -5, 5 in descending order. 489, 5, 2, -5, -32 Sort 2/3, -3373, -10 in decreasing order. 2/3, -10, -3373 Put 5, 8, 1071, -10 in increasing order. -10, 5, 8, 1071 Pu
{ "pile_set_name": "DM Mathematics" }
2*u**4 - 49 + 4*u**4 + 5*u**2 - 47 - 47 to l*u + k*u**3 + a*u**4 + y + f*u**2 and give k. -3 Rearrange -7959 + 7959 + 3147*d to s + k*d and give k. 3147 Rearrange 3*q**2 - q**2 - 10535*q**4 + 10701*q**4 - 3*q**3 + 3 + 5*q**3 to the form c + g*q + m*q**4 + u*q**3 + h*q**2 and give u. 2 Express 6 - 78 - 10*g - g + g - 11 as b + h*g and give h. -10 Rearrange 41*m - 56*m + 46*m + m - 3*m + 4*m + 4 - 4 - 3*m + (-3 - 1 + 1 - 2*m)*(2 - 4 - 6) to the form h*m + l and give h. 46 Rearrange (-t + 0*t - t)*(-1562 - 9*t + 774 + 783) to s + i*t**2 + m*t and give m. 10 Express (2*b**2 - 29*b + 23*b - 5*b + 7*b**3)*(-3*b + 4*b - 2*b) as f*b**4 + l + y*b**3 + j*b**2 + m*b and give y. -2 Rearrange -3*v**4 + 0*v**4 - 12*v**4 + (24*v**2 + 9*v**2 - 3*v**2)*(0*v**2 - 4*v**2 + 6*v**2) to z*v**4 + k*v**3 + r*v + i*v**2 + o and give z. 45 Express 12469 - 12469 + 123*f + (-1 - f + 1)*(1 + 0 - 2) + 0*f + 4*f - 2*f - 2*f + f - 2*f + 6*f - 2*f + 0*f + (2 + 0 + 0)*(1 + 3*f - 1) as r + z*f and give z. 133 Rearrange -121*t**3 - 2*t**2 - 1081 - 105*t**3 + 7*t**2 + 1081 to the form u*t + k*t**3 + s*t**2 + a and give a. 0 Express 287*o - 1883 - 1876 + 3757 in the form p*o + w and give p. 287 Rearrange 7*x**2 + 11 - x**3 + 8 - 1504*x + 750*x - x**4 + 741*x to the form f + j*x + m*x**4 + y*x**3 + k*x**2 and give f. 19 Rearrange (6 - 2 - 2)*((p + 0*p + p)*(0 - 1 - 1) + 1525*p + 746*p + 660*p) to l + d*p and give d. 5854 Rearrange (-2*l - 2*l - l)*(-39*l - 170 + 338 - 170 + (4 - 2 - 3)*(0*l + l + l)) to the form u + f*l + d*l**2 and give d. 205 Rearrange 26 - 846*d + 2*d**2 + 1652*d - 829*d to o*d + g + f*d**2 and give f. 2 Rearrange (-1265*u + 866*u**3 + 1265*u)*(-2*u + 0*u + 3*u) + 3 - 2*u**4 - 3 - u + 0*u**4 + 0*u - u**4 to the form i*u**2 + g + t*u + o*u**3 + s*u**4 and give s. 863 Express 7037*l**2 + l**3 + 2 + 2*l - 14135*l**2 + 7032*l**2 as r*l + c*l**3 + n + d*l**2 and give n. 2 Rearrange -292*a - 331*a - 255*a - 753*a to z + s*a and give s. -1631 Express 181*x - 34 - 318*x + 137*x + 2*x**3 + 6*x**2 as s*x**3 + h + m*x + p*x**2 and give s. 2 Express 369*i + 375*i + 909*i + 1195*i in the form w + b*i and give b. 2848 Rearrange 301*j**2 - 590*j**2 + 284*j**2 + 236*j to the form s*j + b + i*j**2 and give i. -5 Rearrange (323 - j + 275 + 74)*(-2 + 3 - 5) to g*j + s and give s. -2688 Express 4*s**3 + 3*s**3 - 7949766*s + 7949807*s - 5*s**2 - 4*s**3 - 2 in the form y*s**3 + n*s + v + o*s**2 and give n. 41 Rearrange -10*o**2 - 381*o**2 - 3 - 169*o**2 to the form j*o**2 + l + g*o and give j. -560 Rearrange 6 + 12 - 21*m - 2*m - 22 to the form v*m + p and give v. -23 Rearrange -2*l + 6*l - 3*l + (3 - 3 + 2)*(-4*l - l + 3*l) - 5*l - 4*l + 3*l + 210*l + 382*l - 167*l to j + q*l and give q. 416 Express (-7*z + 8*z**2 + 7*z)*(0 - 68 - 4) + 23*z + 7*z**2 - 23*z in the form m*z**2 + a + q*z and give m. -569 Express -99 - 13 - 20 + 3*q**3 + 11 as y*q + b*q**2 + c*q**3 + j and give c. 3 Express 317718 - 3*i - 317719 + 2*i + 111*i**3 + 2*i**4 - 2*i**2 in the form d*i**2 + g*i**3 + k*i**4 + q + l*i and give k. 2 Express (-4 - 17 + 6)*(1 + 3*m - 1)*(172*m**2 + 248 - 248) in the form n*m**2 + d*m**3 + u + k*m and give d. -7740 Express -v**2 + 2*v**2 + 0*v**2 + (-7995*v + 15715*v - 8835*v)*(-194 + 194 + 28*v) in the form r*v**2 + x*v + y and give r. -31219 Rearrange -100*w + 3 + 1961*w**2 + 1959*w**2 - 3915*w**2 to p*w**2 + d + v*w and give p. 5 Express (3*j - 3*j + j)*(0 + 0 - 2) + (-2 + 2 + 2*j)*(-5471 + 5031 - 5449) as f*j + x and give f. -11780 Express (3 - 2 + 0)*(-128 - 21 + 36)*(0*a + 0*a - 2*a)*(-1 + 0 + 0 + (-4 + 0 + 3)*(-1 + 2 - 5)) in the form c*a + b and give c. 678 Express -5539*g**3 + 2763*g**3 + 2771*g**3 - 228*g in the form d + k*g**3 + h*g**2 + f*g and give k. -5 Rearrange (-6 + 3 - 8)*(1 - 1 - 2*b + (2*b + 2*b - b)*(59 - 588 - 494)) to x + g*b and give g. 33781 Express (11384*m + 36*m**2 - 22770*m + 11357*m)*(2*m - 2*m - m + (-1 - 3 + 3)*(1 - 1 + m)) in the form a*m + w*m**2 + f*m**3 + y and give f. -72 Rearrange -145*f**3 + 144*f**3 + 948535*f**4 - f + 1 - 948845*f**4 to v*f**4 + d*f + t*f**2 + l*f**3 + x and give x. 1 Express -12*p**2 - 2611 + 102*p**2 + 5188 - 2623 in the form w + f*p + s*p**2 and give s. 90 Express -401 + 202 + 201 - 98*q**2 + 156*q**2 + 1799*q**2 as m + w*q + n*q**2 and give n. 1857 Express (-97*w - 55*w**2 + 97*w + (3*w - 2*w + 2*w)*(0*w + 6*w - 4*w))*(-w - 2*w + 10*w) in the form b*w**3 + g*w + z*w**2 + j and give b. -343 Express -4 + 73*i**3 - 43*i**3 + 5 + 59*i**3 + 3*i**2 + 54*i**3 in the form a*i**3 + s*i + c + r*i**2 and give r. 3 Express 13 + 41 - 54 + 12941*w in the form f*w + r and give f. 12941 Rearrange -5981514*s - 69 + 4*s**2 + 5981514*s to the form d + w*s + r*s**2 and give r. 4 Express 2106*m - 1036*m - 900*m + 0*m + m + 0*m + 2*m + 0*m + 0*m + (1 + 0 - 3)*(-3 + 3 - 2*m) as t + x*m and give t. 0 Rearrange (-2 + 4 - 4)*(4559*y**3 + 720084*y - 720084*y) to the form a*y**3 + l + x*y**2 + h*y and give a. -9118 Rearrange -19289*l**2 + 1688*l**2 - 9279*l**2 to n*l + z + b*l**2 and give b. -26880 Rearrange -33 - 103 + 136 - 3522*w to the form z + f*w and give f. -3522 Rearrange (-2*u - 2 + 2)*(6*u + 4*u - 6*u) + (2*u + 3 - 3)*(1 + 2 - 4)*(239*u - 207*u - 347*u) to the form d*u + w + t*u**2 and give t. 622 Express 21*z**2 + 2 + 11*z - 11*z + 56*z**2 - 260*z**2 in the form w*z + x*z**2 + b and give b. 2 Rearrange 2*b + 6466*b**2 + 12427*b**2 - b - 4471*b**2 to f + j*b**2 + h*b and give h. 1 Rearrange -3 - 2*q + 3 + (-q + 0*q + 3*q)*(-2 + 4 - 4) - 16*q + 140*q - 13*q + 19 - 19 + q to b + c*q and give c. 106 Rearrange (736*h - 1436*h - 2951 + 698*h)*(-3*h + 4*h + 0*h) to the form y*h + a + j*h**2 and give y. -2951 Express 728 - 1680*s - 1450 + 724 in the form p*s + m and give m. 2 Rearrange -326*r - 56*r + 0*r**2 - 508*r + 2*r**2 to the form o*r**2 + q + b*r and give b. -890 Rearrange (-33*b**2 - 63*b**2 + 0*b**2 - 2*b)*(-3*b + 17*b + 15*b)*(b - 5*b + 3*b)*(-1 + 3 - 1) to the form k*b + n*b**3 + q*b**4 + l + i*b**2 and give n. 58 Express (-y**2 - y**2 + 3*y**2)*(29 - 85 + 26977*y + 27 + 29 - 127601*y) as i*y**3 + v*y + q*y**2 + m and give i. -100624 Rearrange o**2 + 119*o - 293586 + 293586 + (-7*o + 6*o + 4*o)*(-o + 0 + 0) to the form c*o + l*o**2 + k and give c. 119 Express ((2 + 3 - 6)*(2*k - 3*k + 3*k) + 52*k + 46*k + 102*k)*(-k - 1 + 1) - 6*k**2 - 6*k**2 + 4*k**2 in the form t*k + x*k**2 + o and give x. -206 Express 0 - 6 - 128*j**2 + 364*j**2 + 228*j**2 in the form a*j**2 + q + z*j and give q. -6 Express 12*u - 1432*u**3 - u**4 + 356*u**3 + 366*u**3 + 364*u**3 + 7 + 359*u**3 as o*u**2 + r*u + t*u**4 + h + n*u**3 and give h. 7 Express 2*u**4 + 809*u**3 - 2 - 42*u + 6*u - 806*u**3 in the form s*u + y*u**3 + r*u**2 + c + o*u**4 and give y. 3 Express -221 - 2*s + 110 - 149 + 32 - 176 as v*s + z and give z. -404 Express 1686*u**2 - 1495*u**2 + 3007*u**2 + 2565*u**2 + 984*u**2 in the form f*u**2 + o*u + b and give f. 6747 Express -8 + 4*l - 19*l**3 + 10 + 13*l**2 - 7*l**3 + 14*l**3 in the form h*l**2 + g*l**3 + d + m*l and give h. 13 Rearrange 4099*z + 0 - 4102*z - 3*z**2 + 0 + 5*z**2 + 5*z**4 - 4*z**3 to the form g*z**4 + w*z**3 + v*z**2 + o + t*z and give o. 0 Express (-221 + 17 + 3*n - 9*n + 33)*(0*n + 2*n - 3*n) in the form g + b*n + c*n**2 and give c. 6 Express (36924 + 36*p**2 - 213*p**2 - 36929)*(2*p - 1 + 1) in the form m*p**3 + k*p**2 + c*p + y and give c. -10 Rearrange (2 - 2 + z)*(9*z + 15*z - 4*z)*(16 - 3 + 20) to m + c*z + y*z**2 and give m. 0 Rearrange -3258*f**4 + 11 - 2*f**2 + 3263*f**4 + 25 + 8 - 18*f**3 to the form d + u*f**4 + h*f**2 + b*f + g*f**3 and give g. -18 Express (-131 - 63 - 82 + 39 + 20)*(-246*p**2 + 581*p**2 - 220*p**2 - p) in the form s*p**2 + h*p + r and give h. 217 Express -15 - 8 - 3*p**2 + 11 + 149*p**3 + 16 + 2*p in the form y*p**2 + o*p + i + l*p**3 and give l. 149 Rearrange (-2 + 3 - 2 + (-1 + 1 - 1)*(-1 + 6 - 3) - 1 + 0 - 1)*(5210*w - 1463*w - 2793*w) to i + q*w and give q. -4770 Rearrange h**2 - 12*h**3 - 5*h**4 - 28*h**3 + 15*h + 11*h + 39*h**3 to g*h**2 + n*h**3 + p*h**4 + q + i*h and give i. 26 Express 993*a**2 - 77*a + 84*a + 4*a**3 + 1 + a**3 - 1012*a**2 as s*a**3 + k + c*a**2 + m*a and give k. 1 Express 2513*w + 3524*w + 315*w - 1938*w + 9576*w in the form u + d*w and give d. 13990 Rearrange (-190*q +
{ "pile_set_name": "DM Mathematics" }
7/6 of a millennium in months? 34000 Convert 77660.4 micrometers to kilometers. 0.0000776604 Convert 5428.1538 seconds to hours. 1.5078205 What is 7/2 of a kilometer in meters? 3500 What is 180.2942cm in micrometers? 1802942 Convert 58174.88 weeks to microseconds. 35184167424000000 What is 708.1308 months in years? 59.0109 What is thirty-one fifths of a decade in months? 744 What is 1.80771 decades in years? 18.0771 How many seconds are there in twenty-one quarters of a hour? 18900 What is five quarters of a microgram in nanograms? 1250 How many months are there in nine tenths of a decade? 108 How many nanoseconds are there in 2.673706 minutes? 160422360000 What is 43.66522 millilitres in litres? 0.04366522 Convert 945.5774l to millilitres. 945577.4 How many micrometers are there in 7379.05 meters? 7379050000 What is 0.9177305 days in microseconds? 79291915200 What is ninety-nine quarters of a litre in millilitres? 24750 What is 7/3 of a century in months? 2800 How many micrometers are there in 7/4 of a millimeter? 1750 How many seconds are there in 0.0827208 minutes? 4.963248 What is three tenths of a milligram in micrograms? 300 What is 99.19494 years in centuries? 0.9919494 Convert 7628.182l to millilitres. 7628182 Convert 5713.788cm to micrometers. 57137880 What is 123.8234cm in millimeters? 1238.234 Convert 894.9294 millennia to months. 10739152.8 What is eighteen fifths of a litre in millilitres? 3600 What is twenty-one eighths of a centimeter in micrometers? 26250 What is 11/4 of a litre in millilitres? 2750 What is 3/8 of a millennium in years? 375 Convert 98880.65 days to milliseconds. 8543288160000 How many decades are there in thirteen fifths of a millennium? 260 Convert 442636.2mm to meters. 442.6362 Convert 9381.27 decades to centuries. 938.127 What is 232.0805kg in micrograms? 232080500000 Convert 755.6459 nanometers to kilometers. 0.0000000007556459 How many millilitres are there in 11/2 of a litre? 5500 What is 0.614939ml in litres? 0.000614939 What is 57.43712 meters in micrometers? 57437120 What is 48/5 of a centimeter in millimeters? 96 Convert 3.816193 kilometers to centimeters. 381619.3 How many centuries are there in 1858422.9 months? 1548.68575 How many minutes are there in 64/3 of a day? 30720 Convert 0.1953432ml to litres. 0.0001953432 Convert 59.2170642 nanoseconds to weeks. 0.0000000000000979118125 How many nanoseconds are there in 32.37088 minutes? 1942252800000 What is 7/4 of a milligram in micrograms? 1750 How many nanometers are there in 3/25 of a micrometer? 120 Convert 2.684305 decades to years. 26.84305 How many seconds are there in 2/15 of a minute? 8 How many seconds are there in one tenth of a week? 60480 How many decades are there in 5/4 of a millennium? 125 How many litres are there in 923.1101 millilitres? 0.9231101 How many minutes are there in 13/7 of a week? 18720 How many milliseconds are there in 5/6 of a minute? 50000 What is 76.58173 micrograms in kilograms? 0.00000007658173 Convert 0.818776 meters to micrometers. 818776 How many millimeters are there in twenty-one fifths of a centimeter? 42 What is fourty-four fifths of a microsecond in nanoseconds? 8800 Convert 8658.848 centimeters to nanometers. 86588480000 How many litres are there in 9.87179ml? 0.00987179 What is 0.0408652m in micrometers? 40865.2 What is one fifth of a century in years? 20 What is 623625.7km in nanometers? 623625700000000000 Convert 705.7683ms to microseconds. 705768.3 How many millilitres are there in five quarters of a litre? 1250 What is 1/24 of a century in months? 50 Convert 94.3017m to millimeters. 94301.7 What is 13/4 of a litre in millilitres? 3250 What is 3573.763nm in meters? 0.000003573763 How many millennia are there in 25902.74 decades? 259.0274 What is thirteen fifths of a century in months? 3120 How many days are there in 23.2175889 seconds? 0.00026872209375 How many centuries are there in 0.458423 millennia? 4.58423 How many millilitres are there in 48/5 of a litre? 9600 What is 38.0404 decades in millennia? 0.380404 How many hours are there in 1/28 of a week? 6 What is seventeen quarters of a week in minutes? 42840 What is 93528.24 hours in minutes? 5611694.4 What is 5807.219 kilograms in micrograms? 5807219000000 Convert 75.64626km to centimeters. 7564626 What is 3/16 of a hour in seconds? 675 How many millimeters are there in seventeen quarters of a meter? 4250 What is 7.081471 litres in millilitres? 7081.471 What is 768711.2 milliseconds in seconds? 768.7112 Convert 9.531802 millilitres to litres. 0.009531802 What is seventeen quarters of a litre in millilitres? 4250 How many millilitres are there in three fifths of a litre? 600 How many minutes are there in 23/8 of a week? 28980 What is 37.09705ms in nanoseconds? 37097050 What is 0.0800054ug in tonnes? 0.0000000000000800054 What is 76207.6 micrometers in centimeters? 7.62076 What is 13/4 of a millennium in years? 3250 How many centimeters are there in 131.7335 meters? 13173.35 What is 1/20 of a century in months? 60 What is 1/4 of a tonne in kilograms? 250 Convert 1910.26 kilometers to nanometers. 1910260000000000 What is five eighths of a day in minutes? 900 What is 21/4 of a century in months? 6300 What is 44339.56km in centimeters? 4433956000 Convert 43078.75g to nanograms. 43078750000000 Convert 880803.3 hours to microseconds. 3170891880000000 What is 193651.857 nanoseconds in days? 0.0000000022413409375 What is five quarters of a litre in millilitres? 1250 Convert 1360774.2 months to millennia. 113.39785 What is 48.86539 meters in micrometers? 48865390 How many months are there in 5/24 of a millennium? 2500 How many hours are there in 28/3 of a week? 1568 Convert 17.51968 hours to minutes. 1051.1808 Convert 798130.1 millennia to years. 798130100 Convert 93830.97 centuries to years. 9383097 How many kilograms are there in 27.28103ug? 0.00000002728103 How many minutes are there in 11/4 of a week? 27720 What is 1/20 of a litre in millilitres? 50 What is 796954.7ns in milliseconds? 0.7969547 What is three fifths of a meter in millimeters? 600 How many years are there in twenty-six fifths of a millennium? 5200 How many nanoseconds are there in 3/32 of a millisecond? 93750 Convert 16856034.93ms to weeks. 0.027870428125 How many seconds are there in 2/9 of a day? 19200 What is 51/2 of a century in months? 30600 Convert 79122.3 milliseconds to nanoseconds. 79122300000 Convert 99587.8 millennia to decades. 9958780 Convert 55.61778mm to centimeters. 5.561778 How many milliseconds are there in 2.270364 microseconds? 0.002270364 What is 922788.6m in nanometers? 922788600000000 What is 7503.43 kilometers in centimeters? 750343000 How many millilitres are there in three eighths of a litre? 375 How many millilitres are there in seven eighths of a litre? 875 What is three tenths of a millennium in years? 300 How many minutes are there in five sixths of a hour? 50 Convert 25.277205 months to centuries. 0.0210643375 What is 3/8 of a litre in millilitres? 375 What is thirty-three fifths of a century in decades? 66 How many tonnes are there in 187719.3 kilograms? 187.7193 How many micrometers are there in 3/8 of a millimeter? 375 How many days are there in 0.7515699 hours? 0.0313154125 What is 4.641043mg in grams? 0.004641043 What is 3/10 of a litre in millilitres? 300 What is 1/5 of a kilogram in grams? 200 Convert 91.37868 millimeters to meters. 0.09137868 Convert 14.15151 litres to millilitres. 14151.51 Convert 4448.553 millilitres to litres. 4.448553 How many millilitres are there in 3/25 of a litre? 120 How many meters are there in 6.163442 millimeters? 0.006163442 What is one tenth of a gram in milligrams? 100 How many micrograms are there in 7/4 of a milligram? 1750 What is 608736.51 milliseconds in hours? 0.169093475 How many milligrams are there in 1/10 of a kilogram? 100000 How many millimeters are there in 1/5 of a meter? 200 What is three tenths of a tonne in kilograms? 300 What is 42.65848 kilometers in meters? 42658.48 How many minutes are there in one eighteenth of a day? 80 How many grams are there in 7806.286 nanograms? 0.000007806286 How many decades are there in seven halves of a millennium? 350 What is 0.752987 weeks in milliseconds? 455406537.
{ "pile_set_name": "DM Mathematics" }
osite number? True Let p(q) = -76*q - 7. Suppose 2*a = 8 - 28. Is p(a) a prime number? False Let j = -157 + 1994. Let s = j + -1002. Is s a composite number? True Suppose 4*f - 25169 = -5*j, -3*j - 2*j = 15. Suppose 3*o = -o + f. Is o a prime number? False Let v = 12090 + 5717. Is v a composite number? False Let o(t) = 5*t**2 + 89*t - 47. Is o(-71) a prime number? True Suppose -42795 = -a - 37*g + 35*g, 4*a = 3*g + 171169. Is a a composite number? False Let v(b) = -15*b**2 + 54*b - 634. Let q be v(11). Suppose 15570 = 5*h + 2*k, 0*k + k - 12453 = -4*h. Let i = h + q. Is i prime? False Let m = 6029 - 4186. Let a = m - 50. Is a a prime number? False Suppose 0 = 5*t + 4*y - 34023, 34017 = 5*t + 22*y - 21*y. Is t composite? False Let s be 410/14 - (-2)/(-7). Let w(f) = -1 + s*f + 7*f - 5 + 14*f. Is w(4) a prime number? False Let g(k) = k**3 + 11*k**2 - 2*k + 6. Let p be g(-11). Is p*(3 - -14) - -3 prime? True Let j be 130/39*(-12)/(-10). Suppose j*v - 8*v + 2*m + 434 = 0, -3*v - 2*m + 343 = 0. Is v a composite number? True Let o be 4/1 - (8 + -1417). Suppose 0 = -5*j + 1372 + o. Is j prime? True Suppose 0 = 8*j - 8 - 8. Suppose 5*b + 301 = 6*b. Suppose -4*t = w - 526 - 699, -t - j*w + b = 0. Is t composite? False Suppose 6 = -2*z - 4*g, 0 = -4*z + 2*g + g + 43. Suppose z*l = -717 + 3916. Is l a composite number? False Is ((-18862)/(-4))/((18/(-3))/(-12)) a composite number? False Let t be (-16)/(-24) - 62/(-6). Let z(j) = -11*j - 36*j + j + t. Is z(-8) a composite number? False Suppose -509213 = -20*z - 115353. Is z prime? False Suppose 85*j + 67826 - 454321 = 0. Is j composite? False Let a be 1/6*-4*-3. Suppose 3*z = a*j + 1891, 2*z + 3*j = 2*j + 1263. Is z a prime number? True Suppose -3*l = -l + 5*r + 820, -4*l - 5*r = 1650. Let d = l + 702. Is d a composite number? True Let z = 31 + -13. Let p(o) = o**3 - 16*o**2 - 19*o + 25. Is p(z) a composite number? False Suppose 3*g - x - 280 = 0, -3*x = -3*g - 0*x + 282. Suppose 0 = -4*q + 20, g = 3*z - 0*q - 3*q. Suppose -f + 33 = -z. Is f composite? True Suppose -5*p = -2741 - 4944. Is p prime? False Suppose -4*x - m = 16, -4*m = 2*x + 18 + 4. Let v(w) = 3*w**3 + 2*w**2 - 1. Let c(t) = t. Let i(a) = 3*c(a) - v(a). Is i(x) composite? True Suppose s - 5*q - 15255 = 0, 4 = -14*q + 12*q. Is s a prime number? False Let o = -3935 + 6256. Is o composite? True Suppose 0 = -0*q + 4*q - 52. Suppose -16*p + q*p + 651 = 0. Is p a prime number? False Suppose 4*d - 20 = -5*i + i, -5*i = 3*d - 21. Suppose 0 = -0*w + 3*w - 3*p - 105, -4*p - 103 = -i*w. Is w prime? True Suppose -33 + 20 = n. Is n + 683 + (1 - 4) a composite number? True Let o = 2 + 2. Let h(w) = w**2 - 6*w - 2. Let y(s) = 5*s + 3. Let q(x) = 2*h(x) + 3*y(x). Is q(o) composite? True Suppose -12*v = -3417 - 34779. Is v a composite number? True Suppose 11*w = 5415 + 15936. Is (-4 - -6 - 4) + w a composite number? True Let q(r) = 294*r - 17. Let l be q(12). Suppose 4943 = 6*w - l. Is w a prime number? True Let v = 61 - 57. Suppose v*t = 5*o + 3331, 0 = -4*t + o - 1910 + 5261. Is t a prime number? True Let d = 1504 - 803. Let p = 1469 - d. Let f = p + -45. Is f prime? False Suppose -5*s = -28 - 17. Suppose s = 4*v - 11. Suppose 1881 = v*z + 406. Is z a composite number? True Is (-11)/3 + 2 - (-1146112)/132 prime? True Suppose 3*m = 4*o + 25, 2*m + 6 = -5*o - 8. Suppose 6 + 27 = -m*c. Let p(z) = 2*z**2 - 11*z + 8. Is p(c) composite? True Suppose -5*x - l = -27352, 3*x - 5*l = -6*l + 16410. Is x composite? False Suppose 14*y - 9*y - 151525 = -5*h, 0 = -2*y - 4. Is h a composite number? False Is 8/(-48)*-58791*2 a prime number? True Suppose -4*b = 2*b - 24. Is (0 - (b + 1163))*-1 a composite number? True Is 7/21*-1 - (-3334)/3 a prime number? False Let g = -294 - -425. Is g composite? False Let d = -47 - -72. Is -2 + 65/d + (-6852)/(-5) a composite number? True Let w = -81 + 83. Is -2 + 1437 + w + 7 + -3 a prime number? False Suppose 5*f = -0*f + d - 195, -4*d = 0. Suppose 0 = -3*s - 32 + 71. Is 1 - s/(f/1134) prime? True Let f = 6 - 6. Let j be (-3)/3*(-1 + f). Is j/3 - (-10016)/12 a prime number? False Suppose 22*g - 20538 = 40336. Is g a prime number? True Let c(t) = 2778*t**2 + 2*t + 1. Let k(g) = -g**3 - g**2 + 20*g - 1. Let u be k(-5). Is c(u) a composite number? False Is ((-4)/6)/(4*3/(-20934)) a composite number? False Let s(o) be the second derivative of -o**7/2520 - o**6/30 - 13*o**5/120 + 3*o**4/4 + 2*o. Let i(c) be the third derivative of s(c). Is i(-12) composite? False Suppose 9 = -5*t + 14. Let q(a) = 11*a**2 - 11*a**2 - 1 + 2 - 2*a + 432*a**3. Is q(t) a composite number? False Is (-17429536)/(-864) + (-4)/54 composite? False Let n(s) = 36*s + 23. Let o be n(11). Suppose -k - 5*f = -o, -k - 838 = -3*k - f. Is k composite? False Let w(f) = -156*f**3 - f**2 - f - 1. Let x be (2/4)/(13/(-26)). Is w(x) prime? False Let r = 4420 + -2639. Is r a prime number? False Let h = 1976 + 10845. Is h prime? True Suppose 4*a - 3*u - 5953 - 8287 = 0, 2*u = -5*a + 17777. Is a composite? False Let p(d) = d**3 + 10*d**2 - 9*d + 11. Let y(g) = -g**3 + 3*g**2 - 3*g + 3. Let a be y(3). Let u be 23/(-3) - (-2)/a. Is p(u) a prime number? True Let c = -9368 - -13347. Is c a composite number? True Is (-72)/96*(-48220)/15 a prime number? True Suppose 4*y - 3*g - 3343 = 0, -3*y + 2365 = -5*g - 134. Let a = y + -452. Is a prime? False Let q(x) = -x**2 - 7*x + 10. Let m be q(-8). Suppose -m*t + 411 = -217. Is t a prime number? False Let n(u) = 31*u - 5. Let m be 2*(-28)/8*-2. Let q be ((-4)/m)/(14/(-196)). Is n(q) a composite number? True Suppose 0 = -4*w - 8, -b - 3*b - 1994 = 3*w. Let q = b + 798. Is q a composite number? True Let u(o) = -2264*o - 11. Let l(a) = -755*a - 3. Let b(c) = 8*l(c) - 3*u(c). Is b(4) prime? False Suppose 0 = 8*t - 15537 - 10087. Is t composite? False Suppose 4*h = -3*t + 98855, -19*t - 98849 = -4*h - 16*t. Is h composite? True Is 31522/6*(28 + -25) a prime number? True Let z(d) = d**3 + 19*d**2 - 27*d + 16. Let y be z(-20). Suppose -4*x = -y - 28. Is x prime? False Let r be 40/14 + (-15)/(-105). Let i(u) = -r - 11*u + 4 - 262*u - 375*u. Is i(-1) prime? False Is (-7 - (-165823)/(-14))*4/(-6) prime? True Let x(c) = c**2 + 5*c + 7. Let q be x(5). Suppose 5*v - 5*g = -7*g + 420, -5*g = -v + q. Let l = v + -44. Is l a composite number? True Let l(m) = 10*m. Let o be l(-8). Let j = 42 + -67. Let b = j - o. Is b prime? False Let h(s) be the second derivative of 3*s**5/20 - 7*s**4/12 + s**2/2 + s. Is h(5) a composite number? True Let w = -173 - 187. Let t = 779 + w. Is t a prime number? True Suppose 269*m = 284*m - 16215. Is m prime? False Let c(r) = -2259*r + 86. Is c(-3) composite? False Suppose -3*p + 70 = 4852. Let d = p + 2481. Is d prime? True Suppose -7*b + 22 = -4*y - 2*b, y - 4*b = -11. Is y - ((-7776)/15 + (-8)/(-20)) a composite number? True Let w(f) = -f**3 + 11*f**2 - 4*f - 4. Let q be w(10). Is 1/4 - (-12138)/q a composite number? True Let f(z) = 1520*z - 4. Let w be f(8). Is w/9 + 1/3 a prime number? False Suppose 0 = z + 5*z - 4572. Suppose 0 = 10*g - z - 1728. Is g composite? True Let q be 6/(-57) + (-126)/(-114). Is -2 + (1599 - q)/2 a composite number? False Let o = -22 - -18. Let v be 2 + (-16)/o + -1. Suppose -v*u = 4*c - 1186, 0 = 2*c + 2*c - 4*u - 1204. Is c a composite number? True Suppose 0 = 4*s - 5*h - 2008, -3*s = -h - 226 - 1280. Is s composite? True Let s be -1 - ((-2 - 45) + 2). Suppose -33 = 4*g - 5*i - 8, g = 4*i - 9. Let z = g + s. Is z prime? False Let g(j) = -62*j - 37. Let i(w) = w**3 + 6*w**2 - w - 13. Let x be i(-6). Is g(x) composite? False Suppose -9*y = -2*y - 17066. Suppose -4*k + y = -4166. Is k composite? True Suppose -12694 - 25925 = -9*j. Is j composite? True Is ((-6)/5)/((-174)/480530) a prime number? False Suppose 0*n = 2*n + 14. Is (-2)/n*(2430 + -1) composite? True Suppose -20999 = -9*o + 12472. Is o a composite number? False Let l(r) = -10*r - 18. Let a be l(-2). Suppose 0 = -a*v + 4*n + 1766, 6*n + 4400 = 5*v + n. Is v a composite number? False Let r(m) = -m**3 - 16*m**2 - 17*m + 17. Let z be r(-15). Suppose -42*w + z*w = 26525. Is w a composite number? True Let z = -8 - -8. Suppose 1148 = d - z*d - 3*h, 0 = 4*d + 5*h - 4609. Is d a prime number? True Suppose 3*h - 11*h = -16. Suppose h*b = -6, -2*z
{ "pile_set_name": "DM Mathematics" }
e the prime factors of z? 2 Suppose 8 = -w - 65. Let c = -40 - w. What are the prime factors of c? 3, 11 Suppose -4*r = 2*r - 6. Let t be (-9)/12 + r/(-4). List the prime factors of (-15)/(-3) + t - -70. 2, 37 Suppose 2*y = 2*k - 22, 5*y + 0*k = -2*k - 48. List the prime factors of 1926/10 - y/25. 193 Suppose 2*p + 3*c + 131 = 2*c, 300 = -5*p + 3*c. Let k = p + 213. List the prime factors of k. 2, 3, 5 Let b be (((-108)/10)/(-9))/((-6)/(-280)). Let m(o) = -o**2 - 5*o + 2. Let p be m(-5). Suppose -p*r = -r - b. What are the prime factors of r? 2, 7 Let j(w) = 6*w**2 + 6*w + 77. What are the prime factors of j(11)? 11, 79 List the prime factors of 309*((-3)/(-1) - (-11 - -10)). 2, 3, 103 Let w(n) = -15*n - 6. Let c be w(-4). Suppose -3*m + 219 = m - f, -m + f = -c. Let o = -33 + m. List the prime factors of o. 2, 11 Let y = 93 + 29. List the prime factors of (1 + y/(-6))*-9. 2, 3, 29 Let c = -1669 - -3560. What are the prime factors of c? 31, 61 Let r(a) = 3*a**3 - 3*a**2 + 17*a + 40. List the prime factors of r(12). 2, 1249 Let n(o) = 14*o + 49. List the prime factors of n(15). 7, 37 Let u(c) = -c**2 - 11*c - 31. Let n be u(-8). What are the prime factors of (-9977)/(-44) - (-2 - n/4)? 227 Suppose -2909 = -4*r + b + 5677, 0 = 3*r + b - 6436. What are the prime factors of r? 2, 29, 37 Suppose 0 = 5*d - 2*s - 2721 - 70, -2237 = -4*d + 3*s. What are the prime factors of d? 557 Let s(z) = 8*z - 25. Let d be s(4). Suppose -5*g + d = -5*o - 18, -5*g + 21 = -3*o. What are the prime factors of g? 3 Suppose 3*v = 9*v + 24. Let s be (8/(-6))/(v/(-330)). What are the prime factors of (-11 - 1)*s/40? 3, 11 Suppose 3*j + 19 - 16 = 0. List the prime factors of (j + -4)/(3/(-69)). 5, 23 Suppose 21 = 4*p - 195. Let f be 4/18 + (-12)/p. Suppose 4*i - 103 = 3*v, i - 3*v - 1 - 36 = f. What are the prime factors of i? 2, 11 Let n(v) = v**2 + 71*v + 288. List the prime factors of n(39). 2, 3, 7, 109 Suppose -b + 9 = -2*h, 5*b - 45 = h + h. Suppose -1 = 2*y - b. Suppose -y*g + w = -3*g - 16, 2*g + 5*w = 53. List the prime factors of g. 19 Suppose -6 = 2*m - 4*m. Suppose -v = -3*x - 20 + 114, -2*x = m*v - 48. What are the prime factors of x? 2, 3, 5 Let q(l) = -445*l + 15. List the prime factors of q(-1). 2, 5, 23 Let d be (3 - -1)/(-6 - -8). Suppose -2*x = 3*t - 83, -4*t + 112 = 3*x - d*t. List the prime factors of x. 2, 17 Suppose -25*l = -13567 - 858. What are the prime factors of l? 577 Let h(r) = 2*r**2 + r + 11. Let w be h(-3). Let b = 157 - w. List the prime factors of b. 131 Suppose 2*b - 2390 = -i, -4*i - 2*b + 11560 - 2006 = 0. List the prime factors of i. 2, 3, 199 Suppose -5*c = 7*q - 2*q + 40, 0 = -4*c - 3*q - 28. List the prime factors of 1698/24 + (-1)/c. 71 Let y(u) = -6*u - 4 + 10 + 75 + 143. What are the prime factors of y(0)? 2, 7 Suppose 0 = 4*b - 0*b - 848. Suppose -8*d + 1772 = b. What are the prime factors of d? 3, 5, 13 Let l(h) = h**2 + h + 46. Let b(s) = -2*s + 4. Let p be b(2). What are the prime factors of l(p)? 2, 23 Suppose 131*u = 137*u - 276. What are the prime factors of u? 2, 23 Let d = 11 + 2. Suppose -2*r + d = -165. List the prime factors of r. 89 Let k(y) = y - 7. Suppose 9 = b + c, 36 = 4*b + 2*c - c. Let a be k(b). Suppose 0 = -5*d - a*h + 279, -d + 0*d + 4*h = -47. What are the prime factors of d? 5, 11 Suppose -2*m + 7 = 3. Suppose m*t = 14*t - 1128. What are the prime factors of t? 2, 47 Let q be (40/30)/((-2)/(-3)). Suppose -2*d = q*f - 118, -d + f - 8 = -59. List the prime factors of d. 5, 11 What are the prime factors of (-39430)/(-18) - (-384)/864 - 0? 7, 313 Suppose x + 3*x = 3*d - 825, 0 = -3*d - x + 840. Let c = d + -49. What are the prime factors of c? 2, 5, 23 Suppose 16*l + 2271 = 8607. What are the prime factors of l? 2, 3, 11 Suppose -491 = -8*b + 10677. List the prime factors of b. 2, 349 Let r(o) = -2*o**3 + 5*o**2 + 13*o + 12. List the prime factors of r(-5). 2, 7, 23 Let h be (6/8)/((-7)/(-28)). Suppose -y - h*y = -240. Let b = -26 + y. What are the prime factors of b? 2, 17 Let i(w) = 16*w - 84*w**3 + 232*w**3 - 17*w. What are the prime factors of i(1)? 3, 7 Let l = -435 - -439. Let w = 0 - -2. Suppose -4*x + 149 = 5*r, l*r = -4*x + w*x + 70. List the prime factors of x. 41 Suppose -5*t + 0*n + 969 = 3*n, -4*n = -12. Let u = t - 127. What are the prime factors of u? 5, 13 Suppose 2*c - 163 = 81. Let d = c - 36. What are the prime factors of d? 2, 43 Let z(b) = -2420*b - 36. What are the prime factors of z(-2)? 2, 1201 Let b(l) = 19*l**2 - 12*l - 103. List the prime factors of b(-9). 2, 193 Let a(q) = 26*q**3 + q + 1. Let m be a(-1). Let k = -7 + m. Let u = k - -46. What are the prime factors of u? 13 Suppose 0 = t - 6*t + 10. Let u = 15 - 13. Suppose -5*l + 66 = -2*l + 3*y, -t*l + u*y = -32. What are the prime factors of l? 19 Let u = 3 - 1. Let l(g) = -2 - 5*g**2 + g**3 + 0 - u + 104*g - 100*g. List the prime factors of l(6). 2, 7 Suppose 4*v + 2*x = 1070, x = -5*v + 6*x + 1360. What are the prime factors of v? 269 Let o = 283 + 816. What are the prime factors of o? 7, 157 Suppose 18*v - 13*v - 25 = 0. Suppose v*b - 309 = -4. What are the prime factors of b? 61 Suppose x = -3*x - 664. Let z(q) = 2*q**2 - 15*q - 62. Let y be z(-9). Let n = y + x. What are the prime factors of n? 3, 23 Let w(o) = o + 6. Let l(c) = 1. Let f(y) = -4*l(y) + w(y). Let g be f(-2). Suppose 5*b - 105 = -g*b. List the prime factors of b. 3, 7 Suppose 3*m + 18 = 6*m. Suppose m = 3*g - 0*h - 3*h, 0 = -4*g - 2*h + 20. What are the prime factors of g? 2 Suppose 0 = -3*g - 3*p - 183, -51 - 68 = 2*g + p. Let l = 119 - g. Let o = l - 112. What are the prime factors of o? 5, 13 Let i be 8/60*657 - (-6)/15. Suppose -84*d + i*d = 712. List the prime factors of d. 2, 89 Let v(w) = 2*w + 9. Let d be v(-3). Suppose 0*x = d*b + 4*x - 119, x = 5*b - 229. What are the prime factors of b? 3, 5 Let p(d) = 11*d**3 + d. Let r be p(-1). Let x = r + 14. Suppose 0*i = -w + i + 25, -125 = -5*w - x*i. List the prime factors of w. 5 Let s be -1 + -1 + 1 - -1. Suppose 3*t = -5*x + 35, -2*x + 0*t = 3*t - 23. Suppose -4*o - g - x*g + 199 = s, 4*o - 5*g = 249. What are the prime factors of o? 2, 7 Let u(f) = -11*f**3. List the prime factors of u(-4). 2, 11 Let s = 152 - 53. Suppose 5*b = 3*t - t - 163, -t + s = b. List the prime factors of t. 2, 47 Suppose -5*a - 36 = -2*b - a, 3*a - 1 = -2*b. Let l(j) = 8*j - 4. List the prime factors of l(b). 2, 3, 5 Let i be 0/((11 + -1)/(-5)). Suppose i*n + n - 90 = 0. Suppose -n = 4*p - 374. What are the prime factors of p? 71 Suppose -3*t - 2 + 8 = -2*c, 5*t - 32 = -4*c. Let s be 10/20 + 14/t. Suppose -s*u - 72 = -6*u. What are the prime factors of u? 2, 3 Suppose 16*y - 24 = 14*y. Let p = 14 - y. What are the prime factors of p/((-1)/24*-3)? 2 Let l(m) = -m**2 - 8*m - 5. Let j be l(-8). Let h = 140 + -228. List the prime factors of j/15 - h/3. 29 Let a be (-2)/(-4) + (-1 - (-9)/2). Suppose -119 = -3*u + a*q, 4*q - 25 = -2*u + 21. List the prime factors of u. 3, 11 Let x(q) = 6*q - 6. Let c be -4 - (-24)/((-9)/(-3)). Suppose -c*p + 3*o = 2*o - 11, -4*o + 4 = 0. What are the prime factors of x(p)? 2, 3 Let r be (9/(-5))/(12/(-100)). Suppose -r = 5*c - 415. List the prime factors of c. 2, 5 Let x be (-3 - 3)*1/(-2). Suppose -2*b + x*b - 91 = -p, -4*p + 5*b + 319 = 0. Let j = p + -59. List the prime factors of j. 3 Suppose 15*z - 1911 = 12*z. What are the prime factors of z? 7, 13 Suppose 9 = -3*x + 60. Suppose -2*j = -23 + x. Suppose 99 = j*q + 3*n - 123, 5*q + 2*n = 367. What are the prime factors of q? 73 Suppose -424 = -5*d + 4*r, 3*d + 4*r = 187 + 61. Let w = d + -15. What are the prime factors of w? 3, 23 Let x = -11 - -17. Let b(m) = -3*m - 13. Let s be b(-6). Suppose -s*u - 74 = -x*u. What are the prime factors of u? 2, 37 Suppose 3 = -m - 3*c - 1, 0 = m - c - 4. Suppose -2*y + 309 = 5*v - 0*y, -m*v + 120 = 2*y. What are the prime factors of v? 3, 7 Suppose -6*h - 324 - 330 = 0. List the prime factors of -1 - -3 - (h + -6). 3, 13 Let a = -198 + 254. List the prime factors of a. 2, 7 Suppose 2 - 74 = -12*s. Suppose 0 = s*v - 0*v - 876. What are the prime factors of v? 2, 73 List the prime factors of 3831 + 54/(-9) + 17. 2, 17, 113 Let g = -27 + 31. Suppose 2*s = 3*s + g*x - 101, -332 = -4*s + 2*x. List the prime fa
{ "pile_set_name": "DM Mathematics" }
w = -w + 19. Let k be ((-6)/(-4))/((-27)/36). Put r, k, 5 in ascending order. k, r, 5 Let h be (6 + -3)*(-2)/(-3). Let f be 4*3*(-1)/(-3). Sort f, 5, h in descending order. 5, f, h Let x(l) = 2*l - 3 + 4 + 0. Let h be x(2). Let t(r) = 5*r - 22. Let y be t(5). Put h, y, -4 in descending order. h, y, -4 Let t = -0.28 - -0.66. Let b = -0.02 - t. Let x = -0.4 - b. Sort -2, -0.3, x in ascending order. -2, -0.3, x Let k = 12.4 + -12. Put 2/15, -5/3, k in ascending order. -5/3, 2/15, k Let d be (-10)/(-22)*8/(-20). Let y = -17/33 - d. Put -2, 0.1, y in decreasing order. 0.1, y, -2 Let q = -0.8 - 2.2. Let k = -2.5 - q. Let l be (-3)/(1 - (2 + -2)). Sort -0.4, l, k in ascending order. l, -0.4, k Let u = 0.1 - 0. Let o = -17.6 - -17. Let f = u + o. Put -2/3, f, -4 in decreasing order. f, -2/3, -4 Suppose 2*r = 118 + 4. Let j = -325 + r. Let c be j/(-702) + (-2)/9. Put 0.3, 3, c in decreasing order. 3, 0.3, c Let q = 23.9 + -24.3. Let o = -5.06 + 0.06. Sort 5, q, o in descending order. 5, q, o Let m = -70 + 66. Sort m, 2, 4 in decreasing order. 4, 2, m Suppose -3*g + 1 = -2*g. Sort -1, 4, g in decreasing order. 4, g, -1 Let a = -15 - -16. Let f(i) = -i**3 + 3*i**2 - i. Let v be f(2). Suppose -2*p - 1 = -3*l, p + 2*l + v + 2 = 0. Put a, -1, p in decreasing order. a, -1, p Suppose 11*i - 16 = 15*i. Put -2, i, 5 in decreasing order. 5, -2, i Suppose -3*w + 23 + 1 = 0. Let j = w + -11. Put j, 0.1, 5 in descending order. 5, 0.1, j Suppose -2*f + 2*k + 10 = 0, f + 5*k + 13 = 3*f. Put -5, f, -1 in decreasing order. f, -1, -5 Let j = 114792/41 + -2800. Let m = j - -186/533. Let h = 4 - 3.7. Sort m, 3/5, h. m, h, 3/5 Let y be (-16)/(-6)*(-3)/(-2). Let w = -2 + 5. Put y, 2, w in increasing order. 2, w, y Let r = 21 + -25. Put r, -2, 1 in ascending order. r, -2, 1 Suppose 2*t - 10 + 6 = 0. Suppose -4*d + 9 = -3*i, -t*d = -3*d + 3. Sort 0.4, i, 0 in increasing order. 0, 0.4, i Let x = 10 - 37/4. Suppose -3*i - i = 8. Let f(m) = m**2 + m - 1. Let p be f(0). Put i, x, p in decreasing order. x, p, i Let a = 38.9 - 39. Let r = -0.03 + 0.83. Sort r, a, -5 in ascending order. -5, a, r Suppose -4*k + 13 = -r, 22 = -4*r - 2*k + 3*k. Sort -1, r, 0. r, -1, 0 Let j(y) = y**3 + 5*y**2 - 6*y - 2. Let h be j(-6). Suppose 0 = -37*p + 38*p + 5. Put p, h, 5 in decreasing order. 5, h, p Let k(j) = -j**2 + 6*j + 5. Suppose 3*r = 4*u - 1 - 15, -2*u = -4*r - 8. Suppose -14 = -3*a + u. Let n be k(a). Put n, -4, -2 in decreasing order. n, -2, -4 Let o(y) = y + 5. Let q be o(-4). Put -4, -3, q in descending order. q, -3, -4 Let b(p) = -3*p**2 - 2*p. Let c be b(1). Sort c, 10, -2. c, -2, 10 Suppose -1 - 4 = u. Let m = 2 - 0. Sort m, u, -3. u, -3, m Suppose 0 = 5*d + 3*o - 29, -4*d - o = -0*o - 19. Suppose 0 = -p - 5*n + 23, 0 = d*p - n + 13 - 0. Let t = 0 + -5. Sort 1, t, p in descending order. 1, p, t Suppose 0 = -3*l + 28 - 4. Let r = -19 + l. Put r, 5, -5 in descending order. 5, -5, r Let d = -27 + 31. Let b = 3.157 + -0.057. Let f = b - 0.1. Put d, -2, f in descending order. d, f, -2 Let m = -13.5 + 23. Let g = 9 - m. Sort g, -3, 1 in decreasing order. 1, g, -3 Let w be (350/(-21))/5*6/4. Let s be 6/(-46)*(-4)/6. Let p = s - 31/92. Put w, p, 0.4 in ascending order. w, p, 0.4 Let v = -0.28 - -4.28. Let h = 0 - 1. Sort h, v, 0.2 in decreasing order. v, 0.2, h Let m = 1 - 0.5. Let w = 39 + -42. Put -1/3, m, w in ascending order. w, -1/3, m Let m = -0.2 - 0. Let k = 14.79 + -14.8. Sort k, m, -3 in decreasing order. k, m, -3 Let d = -0.1 - 0.4. Let x be (-3)/((-3)/6*21). Sort x, d, 0.5 in decreasing order. 0.5, x, d Let h be (1 - -4*1) + -3. Suppose a + 3 = 2*v, 3 = -a - 0*v - h*v. Sort 0, a, 4 in descending order. 4, 0, a Let q = -0.036 + -2.964. Sort q, 0.1, 4/3 in decreasing order. 4/3, 0.1, q Let b be 0/(6/(5 + -2)). Put -3, b, 4 in descending order. 4, b, -3 Let q = 2 - 12. Let c = q - -14. Sort 2, 0, c in ascending order. 0, 2, c Let o be ((-3)/5)/(1/(-10)). Suppose -3*r - 6 = 5*h, 3*h = -r - 0*r - o. Sort 11, -1, r in descending order. 11, r, -1 Let t = -0.5 - 0. Let j = 31/75 + -1/75. Sort -2, t, j in descending order. j, t, -2 Suppose -5*a = -15, 5*a = 2*y - y + 3. Suppose -2*s + 20 = -2*i, -4*i + 48 = 4*s + 8. Let o = s - y. Sort -3, 0, o. -3, o, 0 Let n = 10 - 5. Let l(a) = a**2 - 2*a + 1. Let z be l(2). Let i = z - -1. Sort n, -5, i. -5, i, n Let t be (2/(-4) - -1)*-16. Let m = t - -13. Put -1, m, -2 in ascending order. -2, -1, m Let v = 8 + -11. Let p be (4/(-3))/((-1)/v). Let n(y) = -y**3 - y**2 - y + 5. Let s be n(0). Put p, s, 4 in decreasing order. s, 4, p Let c = 0.4 - 0. Let f = -6 + 3. Sort -3/2, c, f in ascending order. f, -3/2, c Suppose -m = -2*d + 2*m + 79, -5*d = -4*m - 180. Suppose 3*u + 5*r + d = 0, 53 - 13 = -5*u - 5*r. Suppose 2*n + 0*n - 2 = 0. Sort n, 5, u in descending order. 5, n, u Let f = -0.84 - 9.16. Sort f, 1/2, 1/3, 5. f, 1/3, 1/2, 5 Let q = 49 - 48. Let n be -5*((-4)/2 - -1). Sort -3, q, n. -3, q, n Let b = 3.4 - 3. Let g = b - 0.3. Let j = 101 - 98. Put j, g, 0.2 in increasing order. g, 0.2, j Suppose 0 = -4*p + 5*p - 1. Let r = -2 + p. Sort 0, r, 5. r, 0, 5 Let k(f) be the second derivative of f**5/20 + 7*f**4/12 - 4*f**3/3 - f**2/2 - 5*f. Let i be k(-8). Sort -4, i, 3 in descending order. 3, i, -4 Let w be -4 - (2/2 - 0). Let d(n) = -n - 1. Let m be d(3). Let x = m - -2. Sort w, x, 3 in descending order. 3, x, w Let i(l) = -l + 2. Let m be i(4). Let n = 3.93 + 0.07. Sort m, n, -3 in decreasing order. n, m, -3 Let s be ((-1 + -3)*1)/(-1). Let j be 3/(-4) + (-88)/(-32). Put -2, s, j in descending order. s, j, -2 Let a(m) = -2*m**2 + 20*m - 5. Let p be a(10). Sort -2, p, 2 in descending order. 2, -2, p Suppose 0 = -10*o + 7*o + 30. Let n be 2*-1*25/o. Put n, -0.2, -4 in increasing order. n, -4, -0.2 Let k = -38 + 68. Suppose 0 = 2*j - 5*d - k, -4*j - 7 = -3*j + 3*d. Sort j, -1, 3 in ascending order. -1, 3, j Let u = -2 - -1.4. Let c = -0.1 - u. Let z = -5.162 + 0.162. Put 6/5, z, c in descending order. 6/5, c, z Let f = -1/1512 - 9053/28728. Let z = f + -1/57. Let r(l) = -l - 7. Let q be r(-7). Sort q, 1, z in decreasing order. 1, q, z Let l(d) = -2*d - 4. Let h be l(-4). Sort 3, 5, h in decreasing order. 5, h, 3 Let y(u) = -u - 1. Let q be y(-5). Suppose -q*w - 18 = -2*s, 5*w + 3*s - 8*s = -35. Put w, 5, 2 in decreasing order. 5, 2, w Let q be (1/4)/(6/4). Let n be (4*4/32)/(2/(-20)). Sort q, n, 2/15. n, 2/15, q Let y = -19 + 26. Let j = 3 - y. Let h(i) = i + 3. Let m be h(-2). Put -2, j, m in ascending order. j, -2, m Let l be 50/28 + 4/(-14). Let y = -4 - 1. Put l, 1/3, y in decreasing order. l, 1/3, y Let q = 4 - 3. Let f be 1*(-9)/3*q. Put f, 2, -2 in descending order. 2, -2, f Let v(l) = l**3 + 5*l**2 + 3*l - 3. Let m be v(-3). Suppose -5*f = -4*f - m. Let a be (2 + f)/(-2 - -4). Put 1, 3, a in decreasing order. a, 3, 1 Let q = -2 + -2. Let v = 17/48 - -5/16. Sort -0.2, q, v in increasing order. q, -0.2, v Suppose -z + 8 = -2*k, 2*z + 5*k - 3 = 4. Suppose -v - v = z. Put 2, -4, v in descending order. 2, v, -4 Let n = 13 - -1. Let f = n - 13.9. Put -0.1, f, -5 in ascending order. -5, -0.1, f Suppose 0 = 3*j - 8*j + 4*l, 0 = 5*l. Sort -5, j, -1, -7/2. -5, -7/2, -1, j Let f = -27 + 19. Let t = f - -5. Suppose 0 = -k - 3*k - 5*l - 30, 5*k + l + 27 = 0. Put t, -4, k in decreasing order. t, -4, k Let x be (-20)/569*(-1530)/(-63). Let i = x + -2/569. Let h = 39/10 - 47/10. Sort -3, h, i in decreasing order. h, i, -3 Let o be (8 - 3)*1*3/(-5). Sort 0, o, 1, -16 in ascending order. -16, o, 0, 1 Let b be (-8 + 2)/(1 - 3). Suppose -2*o + o = b. Sort -0.1, o, 1 in increasing order. o, -0.1, 1 Let k(c) = -c - 4. Let w be k(3). Sort 5, 1, w in decreasing order. 5, 1, w Let t be (1/(-1))/(2 - 1). Suppose f + 37 = -d, f + 2*d = -3*d - 17. Let l be (-6)/5*20/f. Sort t, l, -1/2 in increasing order. t, -1/2, l Let y = 11 + 8. Let o = -23 + y. Sort o, 5, 1 in ascending order. o, 1, 5 Let x be 3/(-12) - 2/56. Let s = 1 - -4. Let h = -2 + s. Put h, x, 0.3 in decreasing order. h, 0.3, x Let z = -1.2 - -7.2. Let q = -1.1 - -0.1. Let t = z + q. Sort t, 3, 2 in descending order. t, 3, 2 Let l be 12/(-48) + (-19)/4. Put l, 2, 0, 4 in decreasing order. 4, 2, 0, l Suppose f = -4*m - 10 + 21, 0 = 3*m - f - 3. Suppose 4*h - 3*h - 20 = 5*j, -m*j - h - 8 = 0. Put 1, j, 2 i
{ "pile_set_name": "DM Mathematics" }
9707, -14563, -19419, -24275? -29131 What is the next term in -56, -210, -466, -824, -1284? -1846 What comes next: -28, -22, -4, 32, 92, 182? 308 What is the next term in -140, -252, -334, -386, -408, -400? -362 What is the next term in -97, -94, -87, -76, -61, -42? -19 What is next in -4796, -4798, -4800? -4802 What is next in -1438, -1436, -1432, -1426, -1418, -1408? -1396 What is the next term in 2315, 4629, 6943, 9257, 11571? 13885 What is the next term in -85, -85, -87, -91, -97, -105? -115 What is next in 737, 1475, 2201, 2909, 3593? 4247 What comes next: -2952, -5911, -8870? -11829 What is the next term in -280, -548, -816? -1084 What comes next: 52, 46, 38, 28, 16, 2? -14 What is the next term in 444, 442, 440, 438? 436 What comes next: -13, -50, -103, -166, -233, -298? -355 What comes next: -68, -67, -72, -89, -124? -183 What is the next term in -5, 2, 19, 46, 83, 130, 187? 254 What comes next: 2, 15, 40, 83, 150, 247, 380? 555 What comes next: -264, -500, -736? -972 What comes next: 4, -11, -52, -131, -260, -451, -716? -1067 What is the next term in -518, -2084, -4694, -8348, -13046, -18788? -25574 What comes next: -13, -9, -3, 5? 15 What comes next: 121, 258, 395, 532? 669 What is the next term in 5028, 10057, 15086, 20115? 25144 What is the next term in -13, -20, -27, -40, -65, -108, -175? -272 What is next in 718, 1436, 2154, 2872? 3590 What is the next term in 263, 237, 213, 191, 171, 153? 137 What comes next: -187, -371, -555, -739, -923? -1107 What is the next term in -306, -307, -308, -309, -310? -311 What comes next: 9, 31, 91, 207, 397, 679, 1071? 1591 What is next in -25, -97, -217, -385, -601? -865 What comes next: 45, 172, 383, 678, 1057? 1520 What comes next: -486, -971, -1456, -1941? -2426 What comes next: -5081, -5085, -5093, -5105, -5121, -5141, -5165? -5193 What is the next term in -34, -61, -88, -115? -142 What is next in 255, 271, 287? 303 What is the next term in 39, 198, 479, 882, 1407, 2054, 2823? 3714 What is the next term in 16, 14, -8, -62, -160, -314, -536, -838? -1232 What is next in 146, 136, 138, 158, 202, 276, 386? 538 What is next in 4064, 4063, 4062, 4061, 4060? 4059 What is next in -21, -50, -93, -156, -245, -366? -525 What is next in 14, 3, -20, -61, -126? -221 What is next in -54, -67, -76, -81, -82, -79? -72 What is the next term in -15, -69, -161, -291? -459 What is the next term in -190, -181, -150, -85, 26, 195, 434? 755 What is next in 41, 73, 109, 149, 193, 241, 293? 349 What comes next: -99, -105, -115, -129, -147, -169, -195? -225 What is next in -53, 7, 161, 457, 943? 1667 What comes next: 6, -95, -264, -501, -806, -1179? -1620 What is the next term in -31, -63, -95, -127, -159, -191? -223 What comes next: 12057, 12070, 12097, 12144, 12217? 12322 What is the next term in 119, 999, 3389, 8045, 15723, 27179, 43169, 64449? 91775 What is next in -136, -524, -1164, -2050, -3176? -4536 What comes next: -1634, -3269, -4904, -6539? -8174 What is the next term in -28, -72, -160, -304, -516, -808, -1192, -1680? -2284 What is the next term in -79, -76, -107, -190, -343? -584 What is the next term in -2, 22, 46, 70, 94? 118 What comes next: -17, -26, -13, 34, 127, 278, 499? 802 What comes next: 3, 11, 25, 45, 71, 103, 141? 185 What is the next term in 37, 126, 273, 478, 741, 1062? 1441 What comes next: -13, -135, -449, -1045, -2013? -3443 What comes next: 466, 930, 1390, 1846? 2298 What is the next term in -15, -57, -127, -225, -351? -505 What is the next term in -20, -52, -106, -182? -280 What comes next: 68, 113, 158? 203 What is the next term in -30, -99, -206, -345, -510, -695, -894? -1101 What is the next term in 104, 109, 114, 119, 124, 129? 134 What comes next: 3223, 3215, 3193, 3151, 3083? 2983 What comes next: 59, 69, 93, 137, 207, 309? 449 What is next in -22, -2, 22, 50, 82, 118, 158? 202 What comes next: 9, 19, 39, 75, 133? 219 What is the next term in -31, 5, 43, 83, 125? 169 What comes next: 2579, 2580, 2581? 2582 What is the next term in -786, -789, -802, -831, -882, -961, -1074, -1227? -1426 What is next in 1166, 1172, 1182, 1196, 1214, 1236? 1262 What is next in 273, 525, 765, 987, 1185? 1353 What is next in 17323, 17321, 17319, 17317, 17315, 17313? 17311 What is the next term in -7, -3, -1, -1? -3 What is next in 118, 120, 140, 190, 282, 428, 640, 930? 1310 What is the next term in 20, 21, 20, 17, 12, 5, -4? -15 What is next in -15, -73, -177, -351, -619, -1005, -1533, -2227? -3111 What is the next term in 4640, 4637, 4632, 4625, 4616, 4605, 4592? 4577 What is next in 1459, 1456, 1451, 1444, 1435, 1424, 1411? 1396 What is the next term in 3, -32, -133, -336, -677, -1192, -1917, -2888? -4141 What is the next term in 227, 451, 673, 893, 1111, 1327? 1541 What is next in 15, 96, 311, 726, 1407, 2420, 3831? 5706 What is next in 232, 262, 290, 316, 340, 362? 382 What is next in -1360, -1363, -1374, -1399, -1444, -1515? -1618 What comes next: -6636, -6638, -6640, -6642, -6644? -6646 What is the next term in 662, 1351, 2040, 2729, 3418? 4107 What comes next: 15, 44, 73? 102 What is next in 1883, 1860, 1835, 1808, 1779, 1748, 1715? 1680 What comes next: 56, 34, -8, -82, -200, -374, -616, -938? -1352 What is the next term in -62, -147, -242, -353, -486, -647, -842? -1077 What comes next: 31, 56, 81, 106, 131? 156 What comes next: -58, -55, -48, -37, -22, -3, 20? 47 What comes next: -52, -92, -146, -220, -320? -452 What comes next: -81, -112, -139, -162, -181? -196 What comes next: 61, 50, 53, 76, 125, 206, 325, 488? 701 What is the next term in 2784, 5564, 8332, 11082, 13808? 16504 What is next in -336, -2676, -9026, -21390, -41772, -72176, -114606? -171066 What comes next: 511, 1023, 1535, 2047, 2559? 3071 What comes next: 44, 97, 150, 203, 256, 309? 362 What is next in -140, -129, -104, -59, 12? 115 What comes next: -162, -319, -474, -627? -778 What is next in 62, 101, 140, 179? 218 What is next in -1021, -1025, -1031, -1039, -1049? -1061 What is the next term in 27, 11, -5, -21? -37 What comes next: 5024, 5023, 5022, 5021, 5020, 5019? 5018 What is the next term in -220, -205, -186, -169, -160, -165, -190? -241 What is next in -1713, -1706, -1687, -1650, -1589, -1498, -1371, -1202? -985 What is the next term in 333, 334, 335, 336? 337 What is the next term in 50, 108, 166? 224 What is next in 117, 148, 179, 210? 241 What is the next term in 137, 136, 135, 134, 133, 132? 131 What is the next term in 3, 13, 31, 57, 91, 133? 183 What is next in 268, 267, 266? 265 What comes next: -52, -32, -14, 2, 16? 28 What is next in 36, 73, 110, 147, 184, 221? 258 What is next in -21, 8, 87, 240, 491, 864, 1383, 2072? 2955 What is the next term in 103, 104, 105? 106 What comes next: 58, 126, 206, 298, 402? 518 What is next in -44, -383, -1320, -3155, -6188, -10719? -17048 What comes next: 15, 52, 121, 228, 379, 580? 837 What comes next: -2556, -2556, -2568, -2598, -2652? -2736 What comes next: -52, -109, -166, -223, -280, -337? -394 What comes next: -92, -215, -338, -461, -584, -707? -830 What comes next: 43, 153, 335, 589, 915? 1313 What comes next: -22, -58, -84, -94, -82, -42, 32, 146? 306 What is next in 52, 27, -36, -155, -348, -633, -1028, -1551? -2220 What is the next term in 2623, 2628, 2633, 2638, 2643, 2648? 2653 What is next in 93, 86, 75, 60? 41 What comes next: 88, 84, 70, 40, -12, -92? -206 What is the next term in 90, 166, 240, 312, 382? 450 What comes next: 23, 30, 45, 74, 123, 198? 305 What comes next: -51, -41, -27, -9, 13, 39, 69? 103 What comes next: 37908, 37895, 37868, 37821, 37748, 37643, 37500? 37313 What comes next: 2, -5, -14, -25, -38, -53? -70 What is next in 218, 221, 224, 227? 230 What is the next term in 24, 90, 202, 360, 564, 814? 1110 What comes next: -40, -89, -138, -181, -212, -225? -214 What is the next term in 65, 73, 81? 89 What comes next: 734, 750, 774, 806, 846, 894, 950? 1014 What is the next term in 956, 963, 974, 989? 1008 What is the next term in -7618, -7615, -7612, -7609, -7606, -7603? -7600 What is the next term in -3539, -3537, -3535, -3533? -3531 What comes next: -199, -207, -227, -265, -327, -419? -547 What is the next term in 296, 591, 886, 1181, 1476? 1771 What is the next term in -47, -50, -57, -68, -83? -102 What is next in 71, 136, 197, 254, 307? 3
{ "pile_set_name": "DM Mathematics" }
hat is -855 + -13bb? -1c21 In base 16, what is -1fc - 1eee? -20ea In base 8, what is -111 - -33717? 33606 In base 10, what is 183708 + -4098? 179610 In base 13, what is 31bb0 - 54b? 31662 In base 5, what is 1001443224202 + 4? 1001443224211 In base 2, what is 1 - 1001000110000000100000? -1001000110000000011111 In base 2, what is 11010110001011010010001100100 - -101? 11010110001011010010001101001 In base 4, what is -33310211001 - 2? -33310211003 In base 7, what is -413436 - -305? -413131 In base 2, what is -100010011101110000100001 + -1? -100010011101110000100010 In base 13, what is -58a520 - -20? -58a500 In base 15, what is 124c71 + -8? 124c68 In base 12, what is 23 + -3042? -301b In base 7, what is -3406666 + -2652? -3412651 In base 7, what is -4342 - 2666514? -3004156 In base 5, what is 242420 + 100102? 343022 In base 14, what is -33 - -3ca5ab? 3ca578 In base 13, what is 1219a - -cc? 12299 In base 9, what is 5643 + 2247? 8001 In base 10, what is 5 + 1287287? 1287292 In base 6, what is -15150352352 + 14? -15150352334 In base 16, what is 2d + b544c? b5479 In base 10, what is 80617 + 79? 80696 In base 13, what is -5 - 3bb5a00? -3bb5a05 In base 16, what is 3e + 2d46c? 2d4aa In base 13, what is 2 - -62a2871? 62a2873 In base 4, what is -1010021110 - -1? -1010021103 In base 10, what is -684 + 29571? 28887 In base 5, what is -1002124 + 1323? -1000301 In base 2, what is 0 - 11100000010010110? -11100000010010110 In base 9, what is 127083 - -10886? 138080 In base 10, what is 3478265 - 1? 3478264 In base 3, what is -1012111210222 - -11? -1012111210211 In base 15, what is -aea9c3 + 5? -aea9bd In base 9, what is 816831 + 11? 816842 In base 11, what is -1738 - 58472? -5a0aa In base 5, what is -24403344 - 11? -24403410 In base 6, what is 31541521 + -3? 31541514 In base 9, what is -2 + -11312436? -11312438 In base 3, what is -121 + 20010201012? 20010200121 In base 12, what is -21294 - 939? -22011 In base 12, what is -13a6a + 3905? -10165 In base 16, what is -4 - -29357? 29353 In base 14, what is 7614c94 + -4? 7614c90 In base 4, what is -10 + -1012031110310? -1012031110320 In base 13, what is 16 - -2714273? 2714289 In base 6, what is -121123 - -1013312? 452145 In base 4, what is -3103132 + -102323? -3212121 In base 9, what is 106556 + 50? 106616 In base 8, what is 223 + 10774010? 10774233 In base 10, what is -39 + -1704602? -1704641 In base 3, what is -122202 + -10221121012000? -10221121211202 In base 16, what is -6a7 - 2e35? -34dc In base 4, what is 2 + 30033230032? 30033230100 In base 7, what is 556 + -152113? -151224 In base 7, what is 443 - 2003346? -2002603 In base 3, what is 211002012102 + 1221? 211002021100 In base 2, what is 110100111110000111 - -1110000? 110100111111110111 In base 12, what is -153610 + -b14? -154524 In base 10, what is 98 - -22719? 22817 In base 3, what is -100 + 1221121120120? 1221121120020 In base 11, what is 499233 - 131a? 497a14 In base 6, what is 2351 + -2322303? -2315512 In base 11, what is -1a063679 + 4? -1a063675 In base 3, what is -11 + 11121220120210? 11121220120122 In base 7, what is 445406 + -56? 445320 In base 15, what is 1d + -270b5? -27097 In base 11, what is -7 + -1a991? -1a998 In base 8, what is -1324630 - -617? -1324011 In base 14, what is -1b80 + 6918? 4b78 In base 13, what is 3904c4 - 1? 3904c3 In base 5, what is -103420231334 + 20? -103420231314 In base 7, what is 502601 - -1023? 503624 In base 7, what is 1043233 + 610? 1044143 In base 14, what is -5 - -1dcd041? 1dcd03a In base 9, what is -83 - -64112? 64018 In base 8, what is 3147 - 537433? -534264 In base 8, what is 153 + -145342? -145167 In base 2, what is 110111 - -111111001011100? 111111010010011 In base 14, what is -503184 + -4? -503188 In base 15, what is -3 - 2cd? -2d1 In base 9, what is -1 - 102505683? -102505684 In base 6, what is 511454 + -34? 511420 In base 7, what is -1553 - 4364535? -4366421 In base 5, what is -434012042 - 10? -434012102 In base 8, what is -171605675 + -5? -171605702 In base 7, what is -13 + 523210064? 523210051 In base 12, what is -1835 + -1064bb? -108134 In base 3, what is 11 + -12200122101010112? -12200122101010101 In base 6, what is 1505013 - -4045? 1513102 In base 4, what is 1032 + 1133123? 1200221 In base 14, what is -236 - -18d5a? 18b24 In base 14, what is 12413d1 - 1? 12413d0 In base 13, what is 41 + 1814272? 18142b3 In base 2, what is -11101111000100 - -10100010? -11101100100010 In base 12, what is -2 - -3001593? 3001591 In base 6, what is 1355 - -154450? 200245 In base 5, what is -20 - 131033030013? -131033030033 In base 3, what is 1220 - -1101200120011? 1101200122001 In base 15, what is -11481 + 42? -1143e In base 9, what is 13 + 13637715? 13637728 In base 4, what is 10 + -12330012213? -12330012203 In base 6, what is 1520004343 + 2? 1520004345 In base 12, what is 5 - -2202a5? 2202aa In base 2, what is 111100 + -10111011000001110111? -10111011000000111011 In base 10, what is -1406 + 46? -1360 In base 10, what is 134989491 - 4? 134989487 In base 11, what is 66 - 57377? -57311 In base 3, what is 110 - 210200220210101? -210200220202221 In base 3, what is -2121 + -101022020012111? -101022020022002 In base 13, what is cca8c7 - 5? cca8c2 In base 11, what is -1 + -848330? -848331 In base 6, what is 1135 - 224433? -223254 In base 11, what is -1958 + 131a? -639 In base 11, what is 1164992 + 2? 1164994 In base 14, what is -2 - -3000d443? 3000d441 In base 9, what is 104 + -3087558? -3087454 In base 11, what is 137 - 35649? -35512 In base 8, what is 2 - -23467067? 23467071 In base 9, what is 5537 + -717? 4720 In base 11, what is -3aa04 + -122? -40026 In base 6, what is 2 - -14251500142? 14251500144 In base 3, what is 2222202010 + -120201? 2222011102 In base 4, what is 1 + 11301302330? 11301302331 In base 3, what is 100020222010121 - -2? 100020222010200 In base 16, what is -2 + 14f400? 14f3fe In base 13, what is b3 + 5c832b? 5c8411 In base 13, what is -225b17 + c? -225b08 In base 12, what is -31a0 + a21? -237b In base 16, what is -9e9d - -222? -9c7b In base 14, what is -1688d40 + -6? -1688d46 In base 3, what is 21222 + 10102102000? 10102200222 In base 11, what is -1 + -521063? -521064 In base 2, what is 10011 - -1000101111111101001010? 1000101111111101011101 In base 8, what is 2661250265 - 2? 2661250263 In base 6, what is 1134400023 - -5? 1134400032 In base 14, what is 288db4 - -2? 288db6 In base 10, what is 70718584 - -3? 70718587 In base 8, what is -14752437 + 4? -14752433 In base 11, what is -48a2375 - 0? -48a2375 In base 16, what is 15f2966c - 4? 15f29668 In base 4, what is -2 - -32233031302? 32233031300 In base 3, what is -22201 - -2110222101? 2110122200 In base 10, what is -116 - 695? -811 In base 7, what is -1121146605 - 4? -1121146612 In base 15, what is -1597be5 + -3? -1597be8 In base 5, what is 102 - -343010421? 343011023 In base 16, what is -1a91 - -1bd? -18d4 In base 7, what is 3 - 40225655? -40225652 In base 5, what is 33322231 - -22421? 33400202 In base 3, what is 1 - 100012021000110222? -100012021000110221 In base 7, what is 16214 - 425505? -406261 In base 2, what is 10000100 - -1110110011111000011? 1110110100001000111 In base 15, what is a23d2 - 0? a23d2 In base 5, what is 111 - -200213032? 200213143 In base 11, what is -1 - -1a87a12? 1a87a11 In base 8, what is 3 - -32630017? 32630022 In base 4, what is -11003113 + 31? -11003022 In base 2, what is -101 + 1111110000011111110001111001? 1111110000011111110001110100 In base 9, what is 2 + 4861772? 4861774 In base 8, what is 536705 - -333? 537240 In base 8, what is 1232720 + -16? 1232702 In base 4, what is 10031121 - 121000? 3310121 In base 3, what is -22201010 - 101111? -100002121 In base 2, what is 10010100 - -100111110001010101101? 100111110001101000001 In base 3, what is -201102010110 + 2101? -201102001002 In base 5, what is 13442414 - 120? 13442244 In base 10, what is 0 - 694549? -694549 In base 7, what is -12 + -424325104? -424325116 In base 14, what is -8 + -21677b? -216785 In base 4, what is 110022 - 1100103012? -1033332330 In base 16, what is 1c1 - 2445d? -2429c In base 4, what is 1120230303 + -110? 1120230133 In base 11, what is -21225 - -1398? -1a938 In base 12, what is -2a0 - -5702a6? 570006 In base 14, what is dc + 8207a? 82178 In base 10, what is 2819304 +
{ "pile_set_name": "DM Mathematics" }
2 = 0, -5*b + 9 - 24 = 0. Suppose 4*m - 54 - 112 = 3*c, 0 = -3*m + y*c + 128. What are the prime factors of m? 2, 5 List the prime factors of (-5524)/(-3) - (333/27 - 12). 7, 263 Suppose 4*n + 14 = 50. Suppose 0 = 5*w + 3*v - 67, -3*w + 2*w - 2*v + 12 = 0. Let s = n + w. List the prime factors of s. 23 Let z be (5/(-3))/((-3)/9). Let h = z + 13. What are the prime factors of h? 2, 3 Let y = 6 - 4. Let p(v) = 2 + 4*v**y + 16*v**2 + 2 - 3. List the prime factors of p(1). 3, 7 Suppose 0 = 22*x - 3286 - 190. List the prime factors of x. 2, 79 Suppose 170 = 4*x + x + 5*m, -2*m = -3*x + 77. Suppose -x - 20 = -7*r. What are the prime factors of r? 7 Suppose 0*b + 3*b = -33. Let n(k) = -k**3 - 11*k**2 + 2. Let l be n(b). Suppose -138 = l*t - 5*t. List the prime factors of t. 2, 23 Let k(s) = -s**3 + 31*s**2 - 73*s + 20. What are the prime factors of k(12)? 2, 5, 47 Let q = -980 - -2254. List the prime factors of q. 2, 7, 13 Let l(y) = -y**2 + 8*y - 12. Let u be l(5). Suppose t - 47 = -b + 26, -5*t + u*b = -405. List the prime factors of t. 2, 3, 13 Let h(k) = 58*k + 1. Let v(u) = -u**2 - 7*u + 1. Let c be v(-7). Let a be h(c). Suppose -2*o = -185 + a. List the prime factors of o. 3, 7 Suppose 12502 = -16*j + 32694. List the prime factors of j. 2, 631 Suppose 5*j = 2*b - 132, 5*b - 4*j - 127 - 203 = 0. What are the prime factors of b? 2, 3, 11 Let o = 49 + -52. List the prime factors of 138 - (15/o)/(-5). 137 Suppose 0 = 2*p - 23 - 37. Let f be 6/p - (-3)/(-15). Suppose f = 4*w - 45 - 115. What are the prime factors of w? 2, 5 Suppose -35*y + 37*y = 3*v - 12314, 5*y = 2*v - 8202. What are the prime factors of v? 2, 2053 Let p(q) = -2*q**2 + 7*q - 2. Let h be p(5). Let s = -17 - h. Suppose s = -l - 2 + 7. What are the prime factors of l? 5 Let l(c) = -10 + 32*c + 2*c**2 - 26*c + 7*c**2 - c**3. What are the prime factors of l(9)? 2, 11 Suppose -2*v + 5*l + 2709 = 0, -l = -9*v + 6*v + 4057. What are the prime factors of v? 2, 13 Suppose -111*k = -109*k - 4822. List the prime factors of k. 2411 Let z(a) = 2*a - 1. Let n(i) = -2*i + 1. Let m(c) = 2*n(c) + 3*z(c). Let d be m(2). Let h = d + 13. What are the prime factors of h? 2 Suppose -54 = 7*b - 124. Suppose 10*g - b = 8*g, 2*g + 270 = w. What are the prime factors of w? 2, 5, 7 List the prime factors of (-243)/(-5)*(4 - -1). 3 Let a(r) = 8*r - 2. Suppose -24 = -4*t + t. List the prime factors of a(t). 2, 31 Let x(z) = -327*z - 763. List the prime factors of x(-12). 29, 109 Let b = 13 + -9. Suppose 246 + 10 = b*i. List the prime factors of i. 2 Let x = -2 + 4. Suppose -1 = -3*v + x*v, y - 2*v = 3. Suppose 27 = -4*d + y*d. What are the prime factors of d? 3 Let u = 887 - 778. What are the prime factors of u? 109 Let q be (0 + 3/2)/(3/800). Suppose q = 4*m + 4*o, -5*m + 0*m + 3*o + 516 = 0. What are the prime factors of m? 2, 3, 17 Suppose -2*u - 3 = -m, -3 - 3 = -2*m - 5*u. Suppose -3*w + w = -4*f + 222, 0 = m*f - 4*w - 169. List the prime factors of f. 5, 11 Let r(p) = -2*p - 24. Let n be r(-11). Let u(a) = 2*a. Let f be u(n). What are the prime factors of 14/(f + (-90)/(-21))? 7 Let u(z) = 15*z**2 + z + 11. Let h be 1 - (-1 + -3) - 8. What are the prime factors of u(h)? 11, 13 Let p(x) = -3*x**3 + 10*x**2 + 6*x + 28. What are the prime factors of p(-8)? 2, 7, 11 Suppose -5*l + 3*s = -3, s + s = -3*l + 17. Suppose -l*q = q - 744. List the prime factors of q. 2, 3, 31 Let b = 2076 + -344. List the prime factors of b. 2, 433 Let f = 174 - 169. Suppose -4*z + 5*t + 33 = 0, 2*z - f*t - 31 + 2 = 0. What are the prime factors of z? 2 Let h(n) = 6*n**3 + 2*n**2 + n - 3. Let w be h(2). Suppose q - w = -30. List the prime factors of q. 5 Let k = -70 - -56. Let z = k - -103. List the prime factors of z. 89 Let a(g) = 2*g**2 + 11*g. Let m be a(-6). List the prime factors of 121/22*m/1. 3, 11 Let t(p) = -p**2 + 15*p + 10. Let z = -12 - -22. What are the prime factors of t(z)? 2, 3, 5 Let x(o) = -o - 4. Let u(q) = -4*q - 17. Let n(h) = -2*u(h) + 9*x(h). Let j be n(0). What are the prime factors of -30*(j + (-12)/(-10))? 2, 3 Let b be -3*16/(-12) - 3 - 43. Let d be (2 - (1 + 0)) + -70. Let k = b - d. List the prime factors of k. 3 Suppose -5*h = -4*n + 4581, -n + 4*h = -1631 + 472. List the prime factors of n. 17, 67 Suppose 39*n = 34*n - 3*o + 2438, -o - 1964 = -4*n. List the prime factors of n. 2, 5, 7 Let w = -49 - -56. Suppose -q + 9 = w. What are the prime factors of q? 2 Let b be ((-3)/(-6))/((-2)/(-24)). Let x be (-184)/b + 3/(-9). Let h = x - -43. List the prime factors of h. 2, 3 Let c(j) = -26*j + 62. What are the prime factors of c(-19)? 2, 139 Let y(m) = -m**3 + 14*m**2 + 16*m - 18. Let s be y(15). What are the prime factors of -1 - 3 - -58 - s? 3, 19 List the prime factors of 5/(60/5764) - 4/3. 479 Let k(i) = -i**2 + 19*i. Let r be k(19). Suppose -4*d + 2*b + 260 = r, -2*d - 5*b + 80 + 26 = 0. List the prime factors of d. 3, 7 Let w = 9799 + -4930. List the prime factors of w. 3, 541 Let h = 298 - -228. Let t = h - 303. What are the prime factors of t? 223 Suppose 1340 = 2*f + 4*b, 0*b + b - 673 = -f. What are the prime factors of f? 2, 13 Let c(m) = -3 + 1 + 1 - 2*m**2 + 131*m**3 + 4*m. What are the prime factors of c(1)? 2, 3, 11 Suppose -5*k - 439 = -2229. List the prime factors of k. 2, 179 Suppose -46 = -c - v + 73, 5*c + v = 607. List the prime factors of c. 2, 61 Let r = -110 + 137. What are the prime factors of r? 3 Let c = -4 + 6. Suppose c*z = -z - 9. What are the prime factors of 4*(z + 11/2)? 2, 5 Suppose 23*v = 15027 - 5574. List the prime factors of v. 3, 137 Let v be (-33)/(-4)*(-48)/(-18). Let q be (v/5)/(6/30). Suppose -26*z + q*z + 188 = 0. List the prime factors of z. 47 Suppose -5*v - 14*s + 13423 = -12*s, -3*v - 4*s + 8051 = 0. What are the prime factors of v? 3, 5, 179 Let r(y) = -y - 1. Let s be r(-1). Suppose s = 5*k + 4*z + 10, 4*z = -k + 5*k + 44. What are the prime factors of -1 - (k/(-3) - 22)? 19 Let f(r) = r**2 + 1. Let l(k) = -3*k**2 + 6*k + 4. Let a(t) = 2*f(t) + l(t). Let m be a(8). Let i(j) = j**3 + 11*j**2 + 7*j. List the prime factors of i(m). 2, 3, 5 Suppose 4*w + w - 4*z - 13 = 0, -4*w - 2*z + 26 = 0. Let p(c) = -3*c - w*c + 3*c + 3. What are the prime factors of p(-6)? 3, 11 Suppose -11277 = 199*d - 208*d. List the prime factors of d. 7, 179 Let w = 26 - 21. Let o(g) = g**3 - g**2 - 2*g + 6. List the prime factors of o(w). 2, 3 What are the prime factors of (-2352)/(-8)*((-38)/(-6) + -4)? 2, 7 Let b(n) = -29 - 16 + 5*n**2 + 15*n - 4*n**2 + 7. What are the prime factors of b(-20)? 2, 31 Suppose -3*m = 2*h - 3538, 1769 = -12*h + 13*h - 2*m. List the prime factors of h. 29, 61 Let d = -15 + 311. List the prime factors of d. 2, 37 Let v = 32 + -29. Suppose -v*o - y = -25, 13 = 5*o - 4*o + 5*y. What are the prime factors of o? 2 Let b(u) = 339*u - 105. List the prime factors of b(5). 2, 3, 5, 53 Let t(h) = -h. Let i be t(4). Let u be 6 - (i - -3)*-2. Suppose -u*s - 20 = -g, 2*g - s = 2*s + 35. What are the prime factors of g? 2 Let x(r) = 2*r**2 + r - 1. Let k(o) = -o + 10. Suppose -2*m + 18 = -0*m. Let f be k(m). List the prime factors of x(f). 2 Let x(q) = q**2 - 9*q + 10. Let u be x(8). Let f be 4 + u*(3 - 4). Suppose f*l + 52 = 4*l. What are the prime factors of l? 2, 13 Let k be (-2)/4*(-28)/2. Let p(d) = -6 + 6 + 8 + 2*d. What are the prime factors of p(k)? 2, 11 Let s(c) = c + 18*c**2 - 11 + 13 + 11*c**2. Let z(u) = -u - 1. Let f be z(0). List the prime factors of s(f). 2, 3, 5 Suppose 0 = 19*q - 8239 - 7474. List the prime factors of q. 827 Let w be 2/(-6) + (1447/3 - 2). Suppose w = 4*n - 16. What are the prime factors of n? 2, 31 Let g = 611 - 382. List the prime factors of g. 229 Suppose 169*q - 183*q = -11410. What are the prime factors of q? 5, 163 Let v = 15 + -13. Let q(s) = 4*s**2 - s - 2. Let j be q(v). Let u = -7 + j. List the prime factors of u. 5 Let m(u) = -1 + 2*u - 8*u**2 + 10*u**2 + 8*u**2. Let d be (4/6)/(16/24). What are the prime factors of m(d)? 11 What are the prime factors of 172 + 2601 - 5/(10/12)? 2767 Suppose -d + 5*m - 10 = 2*m, d + 4*m = -17. Let w = 90 + d. List the prime factors of w. 7, 11 Let t = 17 + -6. Let w(m) = m**3 - 11*m**2 + 3. Let c be w(t). Suppose -4*l + 4*i + 211 = l, -i + 113 = c*l. What are the prime factors of l? 3
{ "pile_set_name": "DM Mathematics" }
- b. Solve -x - 14 = -o*n, -3*x - 2 = 4*n - 2*n for n. 5 Let y be (23/(-23))/(1/(-4)). Suppose -2*i = 5*r - y, 0*i = 5*r - i + 2. Solve 6 = s + v, r - 4 = -v for s. 2 Let l = 618 - 618. Solve -4*p - 5 - 23 = -4*b, 5*p + 20 = l for b. 3 Suppose 58*t - 4*s - 8 = 60*t, -5*t = 4*s + 8. Solve 3*h + 20 = -4*f, h + 2*f + t*f + 8 = 0 for h. -4 Suppose -7*j = -59 + 45. Solve -j*m - 20 = -4*p, 5*m + 2*p + 16 = 2 for m. -4 Let h = 100 - 95. Let d be 2/(1 - -3)*-36. Let z be (-548)/(-36) + 4/d. Solve -z = -5*b - 3*q + q, q = h*b for b. 1 Suppose -5*y + 11 = -29. Solve -2*q + y = 2*j - 0*q, -3*j + 8 = -q for j. 3 Let s = 97 + -84. Solve -y - s = -2*k, -5*k + 1 = 3*y - 15 for k. 5 Let f be 1/(1/3)*12/18. Suppose 5*x - 5 = a, -3*x + 26 = f*a + 2*a. Solve x*k - 2*d + 2 = d, 3*k - 11 = d for k. 5 Let h = 1700 + -1700. Solve -m + 0*v + 3*v - 1 = h, 0 = -4*v for m. -1 Let w = 108 - 103. Suppose 4*k - y + 1 = 0, w*y - 4 - 1 = -k. Solve -2*i + k - 1 = a, 13 = 4*i - a for i. 2 Let v be -7*12/(-105) + (-12)/15. Solve 5*n + r + 19 = v, 10*n - 13*n = -r + 5 for n. -3 Suppose 4*y = -5*b + 9*b, -3*b + 27 = 6*y. Solve y*v - 11 + 0 = -x, -v + 5*x + 25 = 0 for v. 5 Let d be -2 - 1 - (-12)/2 - -2. Suppose -16 = -d*b - 1. Solve -2 = -3*t - y, -6 = -4*t + y - b*y for t. -1 Let i = -378 - -383. Solve -2*c + 31 = i*p, p + 6 = -3*c + 4*p for c. 3 Let i be 3*((-20)/(-6))/((-4)/(-18)). Solve -m = t + 10, 5*m = -2*t - 2*t - i for t. -5 Suppose 3946*h = 3941*h + 15. Solve -5*r - h*z = 29, -4*z = -r + 5 + 3 for r. -4 Suppose -71 = 2*a - 101. Solve a = 5*b + 3*o + 2*o, 3*b - 21 = 3*o for b. 5 Let o = -4 - -9. Let n be 226/5 - 1/o. Suppose -3 = 6*k - n. Solve -20 = f + 4*l, -3*f + 5*l = -k*f - 36 for f. -4 Let h = 1759 - 1759. Let v(f) = 3*f - 2. Let z be v(4). Solve y + 2 = 2*m - z, h = -y + 4*m - 20 for y. -4 Let a(i) = -i**3 + 15*i**2 - 9*i - 66. Let g be a(14). Solve -w - g = -2*d, 0*w = 3*w - 3*d + 12 for w. -4 Suppose 11*q + q - 60 = 0. Solve -r - v = 3 - 1, -20 = q*v for r. 2 Let p(i) be the first derivative of i**3/3 + 5*i**2/2 - 24*i + 5. Let m be p(3). Solve 18 = 2*z + 5*g - g, -4*z - 2*g + 6 = m for z. -1 Suppose 5*f = 12*f - 28. Suppose 0 = -2*k - 2*o + f, -k + 10 = -o - 2*o. Solve -2*y = 3*z - 9, 3*y = -k*z + 2*y + 12 for z. 3 Let b(d) = -3*d + 17. Let n be b(-5). Let c = -28 + n. Solve 5*v - c*w + 14 = 39, -5*v = 3*w + 10 for v. 1 Suppose -4*o + 17 = -3. Suppose -264 = 31*b - 42*b. Solve -4*w + b = -o*z, 2 = 2*w + 2*z + 8 for w. 1 Suppose 0 = 14*q - 19*q + 25. Solve -3*n + q*x + 16 = 0, n + 4 = 3*n - 2*x for n. -3 Suppose -2*m + 18 = -4*y + 6*y, 12 = 3*m. Suppose -3*z + 6 = -2*w + w, 0 = -4*w + 5*z - 3. Solve w*b = 0, 10 = y*c + b - 0 for c. 2 Let q = 18 - 19. Let z be q + (-3 - -1) + 44. Suppose z = 2*h - j, 0*h + 59 = 3*h + j. Solve 3*o = -o - h, 3*b + 5*o + 16 = 0 for b. 3 Suppose 16 = -54*j + 124. Solve 1 + 14 = 3*r, -5*r + 19 = j*y for y. -3 Let h be 7/(-4)*-2 - 4/8. Let k be ((-6)/9)/(2/(-3)). Let u = h - k. Solve 2*w = w - j - u, 18 = -3*w + j for w. -5 Let l be (-3)/(27/(-30)) + (-68)/51. Suppose 2*i = -0*i. Suppose -2*b + 3*b - 5*t + 10 = i, -5*b + 2 = t. Solve 5*n = -r, b*n - r = -l*n for n. 0 Suppose 3*v - 9 = -3*a, 148*v - 152*v - 2*a + 10 = 0. Suppose h = 2*h - 2. Solve 16 = h*x - v*z, -2*x - 3*z - 12 = 2*z for x. 4 Let g = -58 - -66. Let b(v) = -2*v**3 - 2*v**2 - 2*v. Let r be b(-2). Let a = 12 - r. Solve 4*q - 2*o + 18 = 0, a*o = -q + 4*o - g for q. -4 Let c(g) = g**3 + 7*g**2 - 9*g + 2. Let z be c(-8). Let v = 13 - z. Solve -v*x - 32 = 2*s - 7*s, 2*x = -8 for s. 4 Suppose -133 = -10*s - 113. Solve 0 = 3*d - 4*a - 15, 0 = -s*d - 4*a - 10 for d. 1 Suppose 0 = -60*n + 36*n. Solve -3*j + 18 = 3*z, 0 = 3*j - n*z + 2*z - 14 for j. 2 Suppose -81*q = -76*q - 25. Let y be ((-6)/8)/((-8)/32). Solve 0 = q*g - 2*j - 2*j + 13, 0 = -g + j - y for g. -1 Suppose -4*q + 5 = 5*a, 23 = -5*a + 8. Let t = 0 + q. Solve 2*f - t*b = -7, 3*f + 1 = b - 3*b for f. -1 Let o(y) be the second derivative of -y**4/12 + 2*y**3 + 15*y**2/2 + 15*y. Let v be o(13). Solve -v*c = -2*l - 1 + 9, 12 = 4*l for c. -1 Suppose 3*a + 288 = -2*r - 2*a, -750 = 5*r + 5*a. Let b be (-44)/r + (-4)/14. Solve -2*u + 5*u = 2*x - 13, b = x + 2*u - 3 for x. 5 Let c(g) = g**2 + 6*g + 21. Let w be c(-4). Suppose -17 = -10*l + w. Solve -4*o + 0*o = 5*j - 21, 3*o + l = 0 for j. 5 Let h = -4 + 9. Let v = 9 - h. Let a be (5 - 6)*3/(-1). Solve -a*s - v*j = -4, 2*s + 24 - 4 = 3*j for s. -4 Let k(a) = -a**3 - 21*a**2 - 22*a - 37. Let v be k(-20). Solve 3*w = -p, 0 = -w - w - v*p for w. 0 Suppose 0 = 26*o - 108 + 4. Solve -2*b + 3*a + 7 = -b, o*b + 5*a = -6 for b. 1 Let k be (-165)/22*(-6)/9. Solve 0 = k*n + 2*b, n + 4*b + 0*b = 0 for n. 0 Let q(p) = p**3 + 7*p**2 - p - 7. Let o be q(-7). Solve o = -2*l - 3*t + 3, -l + 4*t = t + 12 for l. -3 Suppose j = 5*a - 19, -a - 5*j = -0*a - 9. Let f be 6/(96/(-4)) + (-9)/(-4). Solve -8*g + a*g + 2 = -f*l, -5*l = -5*g - 5 for l. 3 Let w = 230 - 226. Solve 8 = w*x, 0 = -n + 3*x - 5 - 5 for n. -4 Let z = 33 + -26. Suppose 0*k = -3*k + 4*a + z, -22 = -4*k - a. Solve k*q - 2 = -2*f + 5, -f + 8 = 4*q for q. 3 Let b = -5 - -9. Let q = 0 + b. Solve q*c - 5*t = 21, -5*t = c - t + 21 for c. -1 Suppose 3*c - 24 = 5*h - 0*h, -4*c + h + 15 = 0. Solve 2*n + 0*n = u, c*n = 3*u for n. 0 Suppose 2*n + k = 6, -22*k + 23*k - 12 = -5*n. Solve -2*y = -z - 12, -n*z + 4 + 4 = 4*y for y. 4 Let l(x) = -2*x**3 + 55*x**2 - 32*x + 139. Let c be l(27). Solve -3*s - c = s - 2*k, -5*s = -3*k + 4 for s. -2 Let a be 3 + (-3 - -1) + (-11 - -13). Solve 9 = -2*t - 0*q + q, 11 = -a*t - q for t. -4 Let g(y) = -2*y**2 + 28*y - 39. Let m be g(12). Solve -m + 3 = -3*k - d, 2*d = 4*k + 2 for k. 1 Let f(z) = z**3 + 4*z**2 + 3*z + 1. Suppose -g = -1 - 2. Let x be 3/(g/2) - 5. Let n be f(x). Solve -4*v + 3*p + n = 0, v - 3*v - 5*p = 19 for v. -2 Let i = 119 + -115. Solve 0 = -2*n + 6*l - 2*l - 10, -i*n = -3*l + 15 for n. -3 Suppose -2*m = -4*q + 21 - 3, -4*q + 21 = -5*m. Suppose q*x - 30 = -x + 5*h, x - 5*h = -2. Solve -3*b - 12 = v, -2*b - 3*v = -4*b - x for b. -4 Let j(y) be the third derivative of -y**6/120 - 23*y**5/60 - 7*y**4/8 + 11*y**3/3 - 5*y**2. Let w be j(-22). Solve -2*m = -w*m - 2*l, l = 2*m - 4 for m. 4 Let u be ((-16)/12)/2 + 56/21. Solve n = 2*m, -4*n - 3*m = u*m for n. 0 Let z = -14 - -8. Let q = 5 + z. Let c be (-7)/(q - 0/3). Solve 0 = -u - j + 9, -3*u + j + c = -0*u for u. 4 Suppose 0*b + q + 3 = b, q = -b + 3. Let o be (17 - 2) + 135/15. Solve -3*k + b*n = n + 19, 4*k - 2*n = -o for k. -5 Let m = 170 - 170. Solve 0 = -3*f - 3*k + 2*k - 5, m = -5*f + k + 5 for f. 0 Let p(c) = c**3 + 19*c**2 + 19*c + 23. Let u be p(-18). Solve -4*k - u*s = 1 - 10, 5*s = 5 for k. 1 Let v(p) = -p**3 + 2*p**2 + 4*p + 2. Let c be v(-3). Suppose -4*k + c = -17. Solve 0 = 4*b - 2*b - 3*i, -b - 5*i = k for b. -3 Let y(n) = 20*n + 507. Let o be y(-25). Solve -q + 14 = -3*g, -11*q - g = -o*q - 4 for q. 2 Let f(b) = -b**3 + 6*b**2 + 2*b - 8. Let r be f(6). Suppose x - 1 = r. Solve c = 3*u - 10, -u = -x*c + 2*u - 26 for c. -4 Suppose 1 + 7 = 4*n. Suppose 0 = 4*z - n*z - 6. Solve 0 = 5*u + 3*d - 19, d + 2*d = -z*u + 9 for u. 5 Let z = 64 + -43. Let w be (-2)/8 - (z/12 - 7). Solve 4*o + 7 = -w*a, a + 3*o - 12 = 3*a for a. -3 Let i(a) = a**3 - 4*a**2 - 11*a - 1. Let t be i(6). Solve 8 = 3*x - g, -g = 3*x + 1 - t for x. 2 Let i(d) = -d**2 + 17*d + 22. Let x be i(18). Solve -4*l - 2 = -3*b, 0 = -4*l + x*b - 16 + 12 for l. 1 Let y be (-8)/(-3)*(-4 + 7). Suppose 0 = -3*u - 2 + y. Let x = -1453 - -1457. Solve 0 = -x*s - u*r + 6, 3*s + r - 2 = 4 for s. 3 Let u = 15 + -14. Let g(t) = -1 - 2 + 2*t - u. Let q be g(4). Solve 3*h + 0*h + 17 = -v, -q*h - 5*v - 30 = 0 for h. -5 Let f be (-8)/(-20) + 46/10. Suppose 4*l - 3 = -2*u + 1, -2*u - 8 = 0. Solve 0 = -k - s - 1, k + f*s = -2*k + l for k. -4 Suppose 95 = 5*z + 4*n, -18 - 47 = -4*z - n. Suppose 3*b + u = z, -3*b + 2*u = 4 - 10. Solve -10 = -2*v - 5*x, -11 = b*v - 4*x + 25 for v. -5 Suppose 5*h + 0*l = -2*l, 3*l + 15 = 0. Solve h*u + 3*q - 7 = -9, 3 = -3*u - 4*q for u. -1 Let l(g) = 3 - 3*g + 0 + g + 3*g. Let t be l(-5). Let m = t - -7. Solve m*o - 2 = -r, -3*o + r + 12 = -2*r for o. 1 Let g(w) = w**3 - 11*w**2 + 10*w. Let d be g(10). Solve -4*m + 13 = -5*h + 28, -h + 4*m + 19 = d for h. -
{ "pile_set_name": "DM Mathematics" }
is 4 - -361622? 361626 In base 13, what is 8577 + 11? 8588 In base 14, what is 88d960 + -2? 88d95c In base 6, what is -5245420 - -14? -5245402 In base 9, what is -415342 - 3? -415345 In base 6, what is 3 + -25121? -25114 In base 15, what is -11033e - 2? -110341 In base 11, what is 36 - a396? -a360 In base 6, what is 132 - 231250? -231114 In base 5, what is -14 - 422030? -422044 In base 4, what is 112321 + -2123? 110132 In base 11, what is -a + 75472? 75463 In base 7, what is -6646 - -101? -6545 In base 2, what is -100000011110010111 + 1000001? -100000011101010110 In base 3, what is 122 - 11112220120? -11112212221 In base 8, what is 2424 - 3200? -554 In base 16, what is 13044c + -2? 13044a In base 10, what is -4208 + 221? -3987 In base 4, what is 1032 - -3123? 10221 In base 13, what is 12 + -6bc? -6aa In base 7, what is -336 - -13654? 13315 In base 9, what is -8876 - -6? -8870 In base 8, what is 1 - -701117? 701120 In base 16, what is 201 - -5ea? 7eb In base 12, what is 107 + 7438? 7543 In base 3, what is -10002220210 - -2? -10002220201 In base 3, what is -121 - 21021212? -21022110 In base 14, what is -66 + -1c84? -1d0a In base 4, what is -32201 - 12301? -111102 In base 13, what is 0 + 7c470? 7c470 In base 7, what is -20553 + -1? -20554 In base 14, what is 3 - -4718? 471b In base 3, what is -120 - -120010011? 120002121 In base 11, what is 1a0 - -310? 500 In base 5, what is -14442 - 230? -20222 In base 6, what is -225 - -101? -124 In base 10, what is 2719 + 11? 2730 In base 5, what is 0 - -21141433? 21141433 In base 2, what is 11000100001101100 + -100? 11000100001101000 In base 11, what is 2a5 + 105? 3aa In base 11, what is -241216 + -6? -241221 In base 14, what is 2 + a002d? a0031 In base 14, what is -165 - 219? -380 In base 15, what is 3a0 - -48? 3e8 In base 5, what is 12 - 1013432? -1013420 In base 3, what is 22 - -10200200? 10200222 In base 5, what is 12 + -3041003? -3040441 In base 14, what is 17d3 + 7? 17da In base 11, what is 4 - -9666? 966a In base 12, what is 91488 + -7? 91481 In base 15, what is 22487 - -a? 22492 In base 11, what is 4 + -a123? -a11a In base 16, what is 82 - 41f6? -4174 In base 4, what is 122010 - 0? 122010 In base 13, what is -b18 - -172? -976 In base 12, what is -4b24 + 2? -4b22 In base 8, what is -52 + 47? -3 In base 7, what is 3061330 - 4? 3061323 In base 14, what is -20 + -1447c? -1449c In base 5, what is -20 + -4302321? -4302341 In base 8, what is 17 + -2137? -2120 In base 12, what is 8 - 1001b7? -1001ab In base 12, what is 926640 - -3? 926643 In base 10, what is -3255493 - 4? -3255497 In base 16, what is -4a - -19? -31 In base 7, what is -5402 + 11? -5361 In base 9, what is 10 + -28640? -28630 In base 6, what is 3 - 3125252? -3125245 In base 6, what is 31111500 - 0? 31111500 In base 16, what is -f5 + 34? -c1 In base 3, what is -12120100000 - 11? -12120100011 In base 3, what is 2122211 + -2210? 2120001 In base 11, what is -17894 - 0? -17894 In base 5, what is 10 + -2211220? -2211210 In base 2, what is 1001001001 + -101111101? 11001100 In base 10, what is 50 - 333? -283 In base 11, what is -1407 + 1596? 18a In base 8, what is -2251 - -2? -2247 In base 4, what is 102232 - -312? 103210 In base 11, what is -3 - 12845? -12848 In base 10, what is -127 + 26? -101 In base 7, what is -3 - -42435? 42432 In base 9, what is 55 + -37531? -37465 In base 9, what is 3 - -1361066? 1361070 In base 4, what is 103030202 - -12? 103030220 In base 16, what is 3ca7 - 18? 3c8f In base 6, what is -5 - 1353300? -1353305 In base 14, what is -6098 - 29? -60c3 In base 9, what is -247130 + -1? -247131 In base 13, what is -809c - -26? -8076 In base 9, what is 1253 - -258? 1522 In base 15, what is 88 + -6d4? -64b In base 7, what is 23511 + 11? 23522 In base 3, what is 12 - -2212020? 2212102 In base 16, what is 1 + -1e6? -1e5 In base 13, what is -11 + -12c2a? -12c3b In base 16, what is 9f - -1698? 1737 In base 14, what is -1a4 + 63a? 476 In base 14, what is -5648 + -d? -5657 In base 14, what is -184cd - 0? -184cd In base 4, what is 20331 + 1? 20332 In base 10, what is 114660 - -1? 114661 In base 11, what is -15 + 1207a? 12065 In base 12, what is -3 + 9319? 9316 In base 8, what is 7707 - -1243? 11152 In base 14, what is 10b3b - 5? 10b36 In base 2, what is -111111011101010 - 1011111? -111111101001001 In base 8, what is 331 + 6327? 6660 In base 2, what is -1 + -1110110100011? -1110110100100 In base 6, what is 111544 + 11? 111555 In base 10, what is 2 - -10672? 10674 In base 7, what is 1161453 + -5? 1161445 In base 5, what is 10 - 421104? -421044 In base 8, what is 12 + 310465? 310477 In base 13, what is -5 - 89830? -89835 In base 8, what is 166 - -1406? 1574 In base 10, what is 187824 + -20? 187804 In base 13, what is a413b + -1? a413a In base 7, what is 43322554 - 5? 43322546 In base 16, what is 38bc + -4f? 386d In base 2, what is -1000010110110110 + -11? -1000010110111001 In base 16, what is -78f - 15? -7a4 In base 14, what is 12a - 1d? 10b In base 6, what is 12 - -14201? 14213 In base 7, what is -13 - -22625? 22612 In base 2, what is -1111001101101011 + 100011? -1111001101001000 In base 12, what is -aa65 - -4? -aa61 In base 12, what is b5400 - 1? b53bb In base 13, what is 1478 + -b? 146a In base 8, what is -3 - 6224105? -6224110 In base 12, what is a0 - 253? -173 In base 9, what is 2 - -25307? 25310 In base 8, what is 5241427 - -3? 5241432 In base 16, what is -5 - -11c7e? 11c79 In base 13, what is -a2 - -70? -32 In base 6, what is -340414040 + 5? -340414031 In base 9, what is -5 + 123733? 123727 In base 9, what is -22 + 45787? 45765 In base 12, what is -180625 + 5? -180620 In base 12, what is 6 + -167? -161 In base 2, what is -101 - 110000111011111? -110000111100100 In base 16, what is 3db16 - 5? 3db11 In base 3, what is 10021211 + 11110? 10110021 In base 7, what is 13031 + -30? 13001 In base 11, what is -6 - 8a84? -8a8a In base 14, what is 461 - -938? d99 In base 12, what is -1b5 + 35? -180 In base 7, what is 5 - -2613115? 2613123 In base 2, what is 10101 + 10001101101010? 10001101111111 In base 12, what is 1 - -711? 712 In base 5, what is -130 + -140010? -140140 In base 7, what is 1411253 - 3? 1411250 In base 11, what is 136 - -2a840? 2a976 In base 14, what is 6b6751 - 4? 6b674b In base 6, what is 10153105 + 3? 10153112 In base 4, what is 3321011321 - 10? 3321011311 In base 8, what is 5663770 + -3? 5663765 In base 7, what is 52 - -16110? 16162 In base 11, what is -328 - -927? 5aa In base 11, what is 192 + 41a7? 4389 In base 15, what is -3 + -4e134? -4e137 In base 8, what is -403060 - 4? -403064 In base 13, what is -44 - 24? -68 In base 13, what is 18 + 18785? 187a0 In base 7, what is -26625 - 112? -30040 In base 12, what is 55b + 18? 577 In base 16, what is ed + 950? a3d In base 14, what is -5 + 3b90? 3b89 In base 5, what is -3 + 102344204? 102344201 In base 12, what is 3 + 11689? 11690 In base 10, what is 3053 - -125? 3178 In base 13, what is -1b - -396? 378 In base 4, what is 203303011 + 3? 203303020 In base 16, what is 259d5 - -9? 259de In base 15, what is -4 - -9540? 953b In base 9, what is -37185 - -5? -37180 In base 5, what is -112 - -1434? 1322 In base 10, what is -338 + -239? -577 In base 2, what is 111001011001001 - 0? 111001011001001 In base 15, what is -1b + -8525? -8541 In base 12, what is 18 + -14a3b3? -14a397 In base 9, what is -241 + 162? -68 In base 10, what is 549 - -110? 659 In base 4, what is 11 - 102111212? -102111201 In base 7, what is -6042 - -26? -6013 In base 9, what is -4 - 17720? -17724 In base 3, what is -10110 - -20001? 2121 In base 16, what is -16fbbf + 1? -16fbbe In base 16, what is -52 + c7? 75 In base 14, what is c14c + 0? c14c In base 7, what is -1056 - 11640? -13026 In base 15, what is -8665 - -5e? -8606 In base 5, what is -10131213 - 14? -10131232 In base 16, what is 9 - 1087? -107e In base 2, what is 0 + 110010110010? 110010110010 In base 16, what is -6 + 16872? 1686c In base 2, what is -111001 - -1101100111? 1100101110 In base 7, what is 1462 + -443? 1016 In base 14, what is 8 + 333c? 3346 In base 14, what is 25569 + 3? 2556c In base 8, what is -420 - 26354? -26774 In base 7, what is 10 + -312613? -312603 In base 10, what is 1 - 8496? -8495 In base 8, what is -1116 + -600? -1716 In base 11, what is -3 -
{ "pile_set_name": "DM Mathematics" }
+ 4463*b - 4997. 12524*b Collect the terms in -7*b + 894 - 14*b - 2*b + 6*b. -17*b + 894 Collect the terms in -14*l**2 - 3*l**2 - 173*l - 14*l**2 + 3 - 20*l**2 + 53*l**2. 2*l**2 - 173*l + 3 Collect the terms in 1242*u - u**3 - 381*u - 27*u - 432*u - 402*u. -u**3 Collect the terms in 117278*k + 5 - 117285*k - 2. -7*k + 3 Collect the terms in -10*q**2 - 4131951502*q + 4131951502*q. -10*q**2 Collect the terms in 337 - 678 + 18553*b + 341. 18553*b Collect the terms in -519 - 389*c**3 + 388*c**3 + 167 + 196 + 183. -c**3 + 27 Collect the terms in -3*x + x + 0*x + 4352138*x**3 - 4344969*x**3 + 2*x. 7169*x**3 Collect the terms in -5573*s + 6 - 1 + 1 + 5499*s - 6. -74*s Collect the terms in 3307*j**3 + 3583*j**3 - 8818*j**3. -1928*j**3 Collect the terms in -1 - 23984*r**2 + 1 + 0 - 7832*r**2. -31816*r**2 Collect the terms in -2834 - 3130 - 16*p**2 - 3125 + 9089. -16*p**2 Collect the terms in -3 + 145*m - 221*m + 1 + 5. -76*m + 3 Collect the terms in -15444 - 3424*y - 15457 + 30901. -3424*y Collect the terms in -20*u**3 + 631654*u**2 - 7593*u + 7593*u - 631654*u**2. -20*u**3 Collect the terms in 2 + 31435*r + 75423*r + 44494*r. 151352*r + 2 Collect the terms in -1051*f - 1037*f - 17*f**2 + 4220*f - 1047*f - 1083*f. -17*f**2 + 2*f Collect the terms in -z + 15 - 1 + 6 - 15 + 3*z - 5. 2*z Collect the terms in v**2 - 11*v**2 - 298*v**3 + 868*v**3 + 300*v**3 + 13*v**2. 870*v**3 + 3*v**2 Collect the terms in 22954*q**3 - 10239*q**3 + 86110*q**3 + 10639*q**3 + 8811*q**3. 118275*q**3 Collect the terms in -8 + 0 - 1014217*h + 8. -1014217*h Collect the terms in 400 - 306*w**2 - 4*w - 1104 + 158*w**2 + 150*w**2. 2*w**2 - 4*w - 704 Collect the terms in -1311*l - 1924*l - 2317*l + 1737*l. -3815*l Collect the terms in 374*n + 2429 - 1243 - 2663*n - 1187. -2289*n - 1 Collect the terms in -11*p**2 - 1 - 2*p**2 - 2*p**2 + 12*p**2 + 4*p. -3*p**2 + 4*p - 1 Collect the terms in 3*x - 3*x + 709790*x**2 - 6 - 18. 709790*x**2 - 24 Collect the terms in -25 - 63 + 84 - 28*s**2 + 93*s**2 + 119*s**2. 184*s**2 - 4 Collect the terms in 83 + 79 + 82 - 5*b**2 + 80 + 80 - 417. -5*b**2 - 13 Collect the terms in 162568*k**2 - 162568*k**2 - 102924*k**3. -102924*k**3 Collect the terms in -161*i**3 + 5*i**3 + 67*i**3 + 38*i**3 + 3*i**2. -51*i**3 + 3*i**2 Collect the terms in -6*d - 16*d - 66 + 23*d + 149. d + 83 Collect the terms in 9430*u - 2 - 18944*u - 4 + 9512*u. -2*u - 6 Collect the terms in 261035*w**2 + 32909*w**2 - 32677*w**2 + 174201*w**2. 435468*w**2 Collect the terms in 749638406*o**2 + 29*o - 29*o - 749638412*o**2. -6*o**2 Collect the terms in 2622937 - 163649*l - 2622937. -163649*l Collect the terms in 15051*y**3 + 1710*y**3 + 21380*y**3. 38141*y**3 Collect the terms in -213839562164 + 213839562164 + 1696*u**2. 1696*u**2 Collect the terms in -35*z + 15*z + 258521 + 18*z - 258500. -2*z + 21 Collect the terms in 70*l + 132 - 32*l - 38*l - 132 + 41*l**2. 41*l**2 Collect the terms in 153*y**3 + 179*y**3 - 756*y**3 - 235*y**3 - 149*y**3 - 461*y**3. -1269*y**3 Collect the terms in 11*c - c - 4*c + 230715*c**2 - 230717*c**2. -2*c**2 + 6*c Collect the terms in -522*x + 162*x - 8*x**3 + 199*x + 161*x + 125*x**3. 117*x**3 Collect the terms in -11*q**3 - 20*q**3 - 5228 + 27*q**3. -4*q**3 - 5228 Collect the terms in 388749 - 5*t - 388749. -5*t Collect the terms in -1 - 12*u + 152*u + 46*u + 2 - 7*u. 179*u + 1 Collect the terms in -8*s**2 - 4*s + 49 - 2*s - 9*s + 23*s - 5*s. -8*s**2 + 3*s + 49 Collect the terms in -3122 - 3124 - 4*p**2 - 3119 - 5*p**2 + 12518 - 3153. -9*p**2 Collect the terms in -68 - 84 - 62 - 69 - 59*w + 283. -59*w Collect the terms in -6905*l**2 - 441*l**2 + 460*l**2 - 1. -6886*l**2 - 1 Collect the terms in 16*b**2 + 5*b**3 - 16*b**2 - 61582*b. 5*b**3 - 61582*b Collect the terms in -4840*y**2 - 1 - 189607*y**3 + 4840*y**2 + 1. -189607*y**3 Collect the terms in -2606281 - 166*m**3 + 2606277 + 133*m**3. -33*m**3 - 4 Collect the terms in -1306 - 942 - 935 - 4*s**2 + 3183. -4*s**2 Collect the terms in 164*j + 1599*j + 2336*j + 1326*j. 5425*j Collect the terms in -10 - 59887086*h + 59887053*h + 10. -33*h Collect the terms in -320*c**3 - 498*c**3 + 6 + 547*c**3 - 2 - 4. -271*c**3 Collect the terms in 268*t + 146*t - 474*t + 1 + 285*t. 225*t + 1 Collect the terms in -20 + 103 - 803*h - 25 - 32 - 26. -803*h Collect the terms in 308*n**3 - 301*n**3 + 17*n**2 + 54*n**2. 7*n**3 + 71*n**2 Collect the terms in 97*o**3 - 11*o**2 + 73*o**3 + 20*o**2. 170*o**3 + 9*o**2 Collect the terms in 1005*g**2 + 77*g**2 + 138*g**2. 1220*g**2 Collect the terms in 2*t**2 - 10816*t**3 - 4*t**2 + 109646*t**3 + 25955*t**3 - 13777*t**3. 111008*t**3 - 2*t**2 Collect the terms in 3882*i + 3511*i - 12694*i + 4148*i. -1153*i Collect the terms in 627*v + 783*v + 2 + 611*v - 2 - 2065*v. -44*v Collect the terms in 100*r + 17 + 165*r - 58*r + 28 + 14*r. 221*r + 45 Collect the terms in 10*u**3 + 43088446119*u + 3*u**2 - 43088446119*u - 3*u**2. 10*u**3 Collect the terms in 481 + 1855 - 2*v**2 + 462 - 2798. -2*v**2 Collect the terms in -10324*q**2 - 11925*q**2 + 22231*q**2. -18*q**2 Collect the terms in 108*z + 107*z + 113*z - 1048*z + 22*z**3 + 713*z. 22*z**3 - 7*z Collect the terms in 6762*z - 23 + 30 + 6. 6762*z + 13 Collect the terms in 280*m**3 - 1395*m**3 - 70*m + 138*m - 68*m. -1115*m**3 Collect the terms in -61*d + 10 - 189054*d**2 + 61*d - 10. -189054*d**2 Collect the terms in 16*c - 71*c + 5 + 17*c + 13*c + 13*c + 9*c. -3*c + 5 Collect the terms in -10*v + 28*v - 255*v + 8 - 22*v. -259*v + 8 Collect the terms in 122*x**2 + 105*x**2 + 101*x**2 + 96*x**2 - 329*x**2. 95*x**2 Collect the terms in 3*a**2 + 2358*a + 44 - 9*a**2 - 535*a - 2. -6*a**2 + 1823*a + 42 Collect the terms in -26125*q**2 + 12946*q**2 + 13178*q**2 - 14. -q**2 - 14 Collect the terms in 558*t**3 + 1 + 541*t**3 - 117*t**3 - 1. 982*t**3 Collect the terms in -17685 + 13*b - 17611 + 34736. 13*b - 560 Collect the terms in 2182203 - 2*g**3 - 2182203 - 36*g**2 - 2*g**3 - 2*g - 7*g**3. -11*g**3 - 36*g**2 - 2*g Collect the terms in 6888*i + 6881*i + 6884*i - 20663*i. -10*i Collect the terms in -479 + 943 + 118695*q**2 - 118694*q**2 - 464. q**2 Collect the terms in 90*c - 44*c - 46*c - 723786*c**2. -723786*c**2 Collect the terms in 101*y**2 - 31*y**2 - 41*y**2 - 25*y - 35*y**2 + 25*y - 15*y**2. -21*y**2 Collect the terms in 79*i**3 - 43112 + 21233 + 21879. 79*i**3 Collect the terms in 16819 - 8154 - 4*a**3 - 8665. -4*a**3 Collect the terms in 133 + 75 + 11 - 12*n**2 - 35 - 54. -12*n**2 + 130 Collect the terms in -5715*n - 3601*n + 1675*n + 1134*n - 5326*n - 2. -11833*n - 2 Collect the terms in -18*k**2 - k**2 - 20 + 12*k**2 + 0*k**2 + 16*k**2 - 3*k**2. 6*k**2 - 20 Collect the terms in -26*o + 144*o - 4 - 3 - 22*o - 1 + 10. 96*o + 2 Collect the terms in 20569*m**2 - 43750*m**2 + m - 57467*m**2. -80648*m**2 + m Collect the terms in 429 + 3*m - 5*m + 3*m**2 + 224 + 8*m**3 - 78. 8*m**3 + 3*m**2 - 2*m + 575 Collect the terms in 273 + 138 + 41 + 180*h - 328*h + 183*h. 35*h + 452 Collect the terms in -3*a**2 + 9579*a - 2557*a**3 - 9579*a + 3*a**2. -2557*a**3 Collect the terms in 106320*i + 12207*i + 44754*i. 163281*i Collect the terms in 185*f**3 + 395*f**3 + 1615 - 1613 - 306*f**3. 274*f**3 + 2 Collect the terms in 1335*f**3 + 25 + 1330*f**3 - 3984*f**3 + 1382*f**3 - 25. 63*f**3 Collect the terms in 0 - 1296*h - 1649*h + 3028*h - 2. 83*h - 2 Collect the terms in 14980*r**2 + 22398036*r - 22398036*r. 14980*r**2 Collect the terms in 25498*n - 3210*n**2 + 6444*n**2 - 25498*n - 3255*n**2. -21*n**2 Collect the terms in 124529 - 33*a + 124556 - 249088. -33*a - 3 Collect the terms in -148157 + 3*r + 148157. 3*r Collect the terms in -22*y**2 - 550*y - 2637*y**2 + 571*y. -2659*y**2 + 21*y Collect the terms in 78882*k**2 + 1049 + 78889*k**2 - 157772*k**2 + 161. -k**2 + 1210 Collect the terms in 0*m**2 + 8999790764*m - 8999790764*m + 51*m**3 + 0*m**2. 51*m**3 Collect the terms in -774071*n + 1548608*n - 5*n**3 - 774537*n. -5*n**3 Collect the terms in -31*i**2 + 72*i**2 + 122*i**2 + 140*i**2 + 20*i**2. 323*i**2 Collect the terms in -1186 - 26109 + 5900 + f - 17200. f - 38595 Collect the terms in -10 - 6747*b + 6745*b - 11 + 21. -2*b Collect the terms in 3655926*t**2 + 3655930*t**2 + 43*t - 7311855*t**2. t**2 + 43*t Collect the terms in 862285783*j - 862285793*j
{ "pile_set_name": "DM Mathematics" }
se 0 = -2*h + m*h. What is the second derivative of 0*z**2 + 6*z**4 - 5*z + h*z**2 - 8*z**4 wrt z? -24*z**2 Let b(g) be the third derivative of -g**8/1008 - g**6/40 - g**5/12 - 17*g**2. Let x(j) be the third derivative of b(j). Differentiate x(s) wrt s. -40*s Let v(s) be the third derivative of 0*s + 0 - 7/15*s**5 - 39*s**2 - 47/24*s**4 + 0*s**3. Find the second derivative of v(y) wrt y. -56 Let t(h) = h**2 - 1. Let c(g) = 114*g**3 + 7*g**2 + 5*g - 7. Let s(m) = 2*c(m) - 14*t(m). Find the second derivative of s(o) wrt o. 1368*o Let r(l) be the first derivative of 2*l**6/3 - 57*l**4/4 + 83*l**3 - 528. Find the third derivative of r(k) wrt k. 240*k**2 - 342 Let a(x) be the second derivative of 7*x**4/4 - 37*x**3/2 + 70*x. What is the second derivative of a(b) wrt b? 42 Find the second derivative of 35 + 34 + 32 - 109 + 33*l + 12*l**2 - 5*l**3 wrt l. -30*l + 24 Let p(m) = -4*m - 16. Let b be p(-7). Find the second derivative of -8*l - 6*l**2 + b*l + 2*l - 4*l**2 wrt l. -20 Find the second derivative of -3*w**4 - w**5 + 0*w**2 + 0*w**2 - 82*w - 9*w**5 wrt w. -200*w**3 - 36*w**2 Let b(p) = -7*p**3 - p**2 - p. Let l be b(-1). Suppose g = l - 0. Differentiate -9 - i**3 - g + 10 wrt i. -3*i**2 Suppose -4*u - 3 = -4*a - 7, -5*a + 5 = -3*u. Let t = -2 - -2. What is the third derivative of 3*w**u + t*w**4 + 2*w**5 + 4*w**2 + 0*w**4 wrt w? 300*w**2 Let j(b) be the second derivative of -b**6/5 + 4*b**3/3 + 36*b**2 - 42*b. What is the first derivative of j(u) wrt u? -24*u**3 + 8 Let h be (-4)/2*(-55)/10. Find the first derivative of 11 + h*z**4 - 20 + 4*z**4 wrt z. 60*z**3 Find the third derivative of 15 - 4*l**3 + 5*l**3 - 15 - 59*l**4 + 63*l**2 wrt l. -1416*l + 6 Let q(l) be the first derivative of 0*l**4 + 0*l + 11 + 0*l**5 - 2*l**6 + 0*l**3 + 17/2*l**2. What is the second derivative of q(t) wrt t? -240*t**3 Differentiate -495*b**3 + 2763 + 2860 - 5786 wrt b. -1485*b**2 What is the second derivative of -509*c**2 - 3*c**3 + 518*c**2 + 47*c + 6*c**3 wrt c? 18*c + 18 Find the third derivative of 22659*h**3 - 22659*h**3 - 57*h**5 + 82*h**2 wrt h. -3420*h**2 Let q(h) = -h + 4. Let a be q(0). Suppose -4*z - z - a*i = -28, -5*z = i - 37. Differentiate 4*v - 4 + 2 - z + 4 with respect to v. 4 Let r(h) be the third derivative of -65*h**4/12 - 30*h**3 - 133*h**2. What is the first derivative of r(p) wrt p? -130 Let k(t) = 6*t**3 + 2*t**2 + 2*t + 1. Let b be k(-1). Let q be 6/2 - (-15)/b. Differentiate q + 0*a**3 + 0 + 4 + 4*a**3 with respect to a. 12*a**2 Suppose 3*d - 4*n - 20 = 0, 3*d = -2*d - 4*n - 20. Find the third derivative of 45*p**4 - 16*p**2 + p**3 + d*p**2 - 29*p**4 wrt p. 384*p + 6 Let y(f) be the first derivative of f**8/840 - 7*f**4/8 + 8*f**3 + 9. Let t(h) be the third derivative of y(h). What is the first derivative of t(q) wrt q? 8*q**3 Let x(d) be the second derivative of -d**3/3 - 82*d**2 - 2*d + 20. Differentiate x(q) with respect to q. -2 Suppose 0 = -2*m - 4*j + 16, m + 3*j - 19 = -4*m. Suppose -h = m*h. Find the first derivative of 8*l - 5*l + h - 2 - 1 wrt l. 3 Let k(b) = -b**2 - b + 1. Let y(s) = 38*s - 3. Let q(h) = -2*k(h) - y(h). Differentiate q(n) wrt n. 4*n - 36 Suppose -7*j + 8*j - 15 = 0. What is the second derivative of 12*d**4 + 4*d**2 + 3*d**2 + j*d - 7*d**2 wrt d? 144*d**2 Let w(q) be the first derivative of 0*q + 27/4*q**4 + 0*q**3 - 1 - 35/2*q**2. What is the second derivative of w(n) wrt n? 162*n Let y(r) = -r**3 - 3*r**2 - r + 7. Let z be y(-3). Find the third derivative of -3*u**6 - 3*u**2 + z*u**2 + 4*u**2 wrt u. -360*u**3 Let b(r) = r**3 + 19*r**2 + 16*r - 32. Let d be b(-18). Differentiate -10*t + 4 - 1 - d + 17 with respect to t. -10 Let j(d) = d**3 + 10*d**2 + 209*d - 2. Let l(x) = -x**3 + 3*x**2 - x - 1. Let i(v) = 2*j(v) - 4*l(v). Find the second derivative of i(b) wrt b. 36*b + 16 What is the second derivative of -1 + 115*t - 374*t - 160*t**2 + 230*t**2 wrt t? 140 Find the first derivative of 80*d**4 - 85 - 272 + 226*d**4 + 61*d**4 wrt d. 1468*d**3 Differentiate -111*o - 255*o - 287*o + 2 wrt o. -653 Find the third derivative of 25*u**2 - 89*u**6 + 22*u**6 + 13*u**2 + 3*u**2 wrt u. -8040*u**3 Suppose 2*v + 0*v - 4478 = -4*w, -v = -w + 1127. Find the third derivative of 1122*b**3 + 3*b**2 + 11*b**4 + 0*b**2 - w*b**3 wrt b. 264*b Let i(k) = -625*k - 392. Let u(o) = 625*o + 380. Let j(c) = 3*i(c) + 4*u(c). Differentiate j(q) with respect to q. 625 Suppose 5*a - z + 165 = 0, -2*a - 17 = -5*z + 26. Let o be 4/a - (-216)/102. What is the second derivative of 0*y - y + o*y - 6*y**5 wrt y? -120*y**3 Suppose 24 = 4*n - 4*y, 2*y = 6*y + 12. Find the second derivative of 116*s**3 - 101*s**n - s - 4*s wrt s. 90*s What is the third derivative of 107*j**3 + 4*j**2 - 107*j**3 - 118*j**6 wrt j? -14160*j**3 Differentiate -355 - 5*z**2 + 16 - 236*z + 32*z**2 - 14*z**2 - 15*z**2 with respect to z. -4*z - 236 Let f(p) = -116*p**3 - 151*p**2. Let t(j) = -115*j**3 - 150*j**2. Let d(x) = 6*f(x) - 7*t(x). What is the third derivative of d(y) wrt y? 654 Let s be 2/(-2) + 7/1. What is the first derivative of -258*c - s + 272*c + 20 wrt c? 14 Find the third derivative of -2*c**6 + 10*c**2 - 18*c + 0*c**5 + 3*c**5 + 5*c - 5*c**6 + 4*c**6 wrt c. -360*c**3 + 180*c**2 What is the second derivative of 11 - m + m + 3*m - 2 - 6 + 378*m**4 wrt m? 4536*m**2 Let a(y) = 415*y**3 - 17*y**2 - 321*y. Let d(v) = -138*v**3 + 6*v**2 + 107*v. Let g(i) = -6*a(i) - 17*d(i). Find the second derivative of g(s) wrt s. -864*s Let a be -1 + (-3 - 20/(-4)). Let y be 2/(a - 2/4). Find the first derivative of -3*s**4 + 7*s**4 - 3*s**4 + y*s**4 - 1 wrt s. 20*s**3 Let g(h) be the third derivative of -11*h**5/15 + h**4/24 + 35*h**3/6 + 24*h**2. What is the first derivative of g(i) wrt i? -88*i + 1 Let o(c) be the first derivative of -c**3 - 10*c + 74. What is the first derivative of o(a) wrt a? -6*a Let a(n) be the first derivative of 81*n**4/4 + 52*n**3/3 + n - 329. Find the third derivative of a(g) wrt g. 486 Let z(g) = -6 - 4*g - 12*g**2 - 4*g + 10*g + 0*g. Let v(n) = 13*n**2 - 3*n + 5. Let j(h) = 2*v(h) + 3*z(h). What is the derivative of j(w) wrt w? -20*w Find the first derivative of 378 - 51*b + 101*b - 265*b wrt b. -215 Let l(v) be the first derivative of -35*v**4/24 - 25*v**3/6 - 5*v**2/2 - 5. Let p(a) be the second derivative of l(a). Find the first derivative of p(j) wrt j. -35 Let i be (-8)/(-3)*9/12. Suppose 8 = i*q + 2. What is the derivative of -6 + 1 - 12*k - 5*k**q + 12*k wrt k? -15*k**2 Let x be 2*(-2 - 21/(-6)). What is the third derivative of -10*l**2 - 17*l**6 + x*l**2 + 14*l**6 wrt l? -360*l**3 Let w(b) be the second derivative of -729*b**8/56 + b**6/30 + 893*b**4/12 - 406*b. What is the third derivative of w(t) wrt t? -87480*t**3 + 24*t Let r(z) be the second derivative of 7*z**4 + 15*z**2 + 6*z - 2. Differentiate r(a) wrt a. 168*a Let i = 37 - 35. Find the third derivative of i*y**2 + 3*y**2 + 4*y**2 - 2*y**2 + 20*y**6 wrt y. 2400*y**3 Let s be (-6)/(-3) + (-18)/(-6). Suppose -s*n + 21 = -n - v, 0 = 3*v + 15. Differentiate 7 + 5*k**n - 2 - 9 with respect to k. 20*k**3 Let w(k) be the third derivative of 0*k**6 + 1/4*k**4 + 6*k**2 + 0*k + 0*k**3 + 0*k**5 + 0 - 1/210*k**7. Find the second derivative of w(b) wrt b. -12*b**2 Let o(p) be the first derivative of -31*p**4/2 + p**3/3 - p**2/2 + 168. Find the third derivative of o(w) wrt w. -372 Let j(l) = l**2 + 8*l + 9. Let f be j(-7). Suppose 4*w = 5*g + 32, 2*w - 5 = w + f*g. What is the derivative of -w*o - 6 + 3*o + 8*o wrt o? -2 Let a(p) = -45*p**3 + 13*p**2 - 4. Let n(i) = 90*i**3 - 25*i**2 + 9. Let v(k) = -9*a(k) - 4*n(k). What is the third derivative of v(j) wrt j? 270 Let j(b) be the third derivative of -16*b**2 + 0*b**4 - 3/70*b**7 + 0*b**6 + 2/3*b**3 + 0*b - 1/30*b**5 - 2. What is the third derivative of j(m) wrt m? -216*m Let w(p) be the third derivative of 5/3*p**3 + 0*p**4 + 0 + 0*p - 16*p**2 + 1/2*p**5. Find the first derivative of w(k) wrt k. 60*k Let z(x) = -x**4 + 2*x**3 + x. Let g(k) = -4*k**4 + 20*k**3 - k**2 + 5*k + 13. Let b(r) = g(r) - 5*z(r). Find the third derivative of b(n) wrt n. 24*n + 60 Let t(u) = -52*u**5 + 104*u**2 + 2. Let x(p) = p**5 - p**2 - 1. Let v(g) = t(g) + 2*x(g). Find the third derivative of v(c) wrt c. -3000*c**2 Let o(x) = x**3 + 4*x**2 + 4*x + 5. Let s(t) =
{ "pile_set_name": "DM Mathematics" }
e second derivative of -11*t**2 - 5*t + 0*t - h*t + 14*t**2 wrt t. 6 Suppose -2*s + 3 = -5. Let d = s + -2. Find the third derivative of 2*p**5 + 2*p**2 - p**d + 2*p**2 + 0*p**5 wrt p. 120*p**2 Let x(r) be the second derivative of 0 - 5/42*r**7 + 0*r**5 + 0*r**2 + 0*r**3 + 12*r + 1/4*r**4 + 0*r**6. Find the third derivative of x(g) wrt g. -300*g**2 Let q(m) be the first derivative of -m**5/2 + 7*m**3/6 + 6*m - 5. Let r(o) be the first derivative of q(o). Find the second derivative of r(y) wrt y. -60*y Find the third derivative of 444*h**4 + 101*h - 161*h**4 - 100*h**2 - 101*h wrt h. 6792*h Let v(h) be the third derivative of -h**7/105 + 133*h**5/30 - 33*h**3/2 + 6*h**2 + 16*h. Differentiate v(q) wrt q. -8*q**3 + 532*q Let b(w) be the first derivative of -1025*w**3/3 + 160*w**2 - 411. What is the second derivative of b(h) wrt h? -2050 Suppose 0*i + i = -4*v + 14, -3*v = -9. Let m be (-84)/(-6)*2/7. Find the second derivative of i*q - m*q - 2*q - 11*q**3 wrt q. -66*q Let t(l) be the first derivative of 28/3*l**3 + 0*l - 19/2*l**2 + 13. What is the second derivative of t(b) wrt b? 56 Let k(o) = 31*o**3 - 7*o - 13. Suppose j = 4*r - j + 24, 2*r = -3*j + 4. Let g(l) = 15*l**3 - 4*l - 6. Let a(y) = r*k(y) + 7*g(y). Differentiate a(t) wrt t. -57*t**2 Let d(b) be the third derivative of 4/3*b**3 + 0*b - 1/3*b**4 + 0 + 11*b**2. Find the first derivative of d(m) wrt m. -8 Let n(r) = 22*r + 15. Let h(y) = 175*y + 120. Let z = -9 - 16. Let o(l) = z*n(l) + 3*h(l). Differentiate o(t) wrt t. -25 Let r(b) = -130*b**2 + 6*b + 22. Let z(j) = -131*j**2 + 7*j + 22. Let g(d) = -6*r(d) + 5*z(d). Find the second derivative of g(x) wrt x. 250 Let p(l) = -7*l + 15. Let t be p(-7). Let j be 136/t - 2/16. What is the third derivative of -29*a**5 + 0*a**j + a**2 + 30*a**5 wrt a? 60*a**2 Find the second derivative of 0*i**4 - 33*i - 19*i**4 + 17*i - 2 wrt i. -228*i**2 Let r be 14 - (-2 + 15/3) - 1. Suppose 0 = -3*z + 10 - 1. What is the second derivative of 8*t**z + t - r*t + 3*t wrt t? 48*t What is the third derivative of 58*t**2 - 5*t - 11*t**4 + 795*t**5 + 6*t - 796*t**5 wrt t? -60*t**2 - 264*t Let u(i) be the third derivative of -1/28*i**8 + 0*i**3 + 0*i**6 + 0*i**7 + 0*i - 18*i**2 + 0*i**4 + 0 - 9/20*i**5. What is the third derivative of u(f) wrt f? -720*f**2 Let k(a) = 237*a**2 + 328*a + 4. Let x(l) = -231*l**2 - 328*l - 5. Let i(p) = -5*k(p) - 4*x(p). What is the second derivative of i(n) wrt n? -522 Let n(r) be the second derivative of r**7/280 + r**6/48 - 7*r**4/6 - 4*r. Let u(k) be the third derivative of n(k). Find the second derivative of u(w) wrt w. 18 Let z = 49 - 35. What is the second derivative of -25*y + 5*y + z*y**4 + 737*y**3 - 737*y**3 wrt y? 168*y**2 Let w(r) be the second derivative of 13*r**3/2 - 6*r**2 - 11*r. Let c be w(6). Find the second derivative of -222*s**2 + c*s**2 - s**4 + 7*s wrt s. -12*s**2 Suppose 0 = v - 6*v + 25. What is the third derivative of 4*z**5 - 3*z**5 + 18*z**2 + 2*z**v + 4*z**5 wrt z? 420*z**2 Let o(w) be the first derivative of -w**6/90 + w**5/10 + 8*w**3/3 + 11. Let q(d) be the third derivative of o(d). What is the second derivative of q(c) wrt c? -8 Let c(s) be the third derivative of 0*s**4 + 25*s**2 + 2/5*s**5 + 0*s + 20/3*s**3 + 0. What is the first derivative of c(n) wrt n? 48*n Let l = -55 + 74. What is the third derivative of -188*a**2 + 209*a**2 - l*a**6 + 3*a**6 wrt a? -1920*a**3 Let z(l) = -9*l**4 - 14*l**3 - 4*l**2 + 4*l + 181. Let j(p) = -7*p**4 - 13*p**3 - 3*p**2 + 3*p + 182. Let t(c) = -4*j(c) + 3*z(c). Differentiate t(k) wrt k. 4*k**3 + 30*k**2 Let g(s) be the first derivative of 2*s**7/105 - s**4/24 + 3*s**2 + 8. Let c(z) be the second derivative of g(z). Find the second derivative of c(q) wrt q. 48*q**2 Suppose 4*h - 5*p - 15 = 0, -5*h + 41 = 4*p + 12. Find the first derivative of -h*a**4 - 9 + 0*a**3 + 3*a**3 - 3*a**3 wrt a. -20*a**3 Let a = 128 - 114. Let m(x) = x**3 + x. Let d(j) = -7*j**3 + 14*j + 28. Let t(n) = a*m(n) - d(n). Differentiate t(g) with respect to g. 63*g**2 Let d(g) = 73*g**4 + 2*g**3 + 2*g + 16. Let w(o) = 74*o**4 + 3*o**3 + 3*o + 17. Let f(k) = -3*d(k) + 2*w(k). Differentiate f(h) with respect to h. -284*h**3 Suppose 0 = -j - j - y + 5, -4*y = 5*j - 14. What is the third derivative of -j + 10*i**2 - 10*i**2 + 12*i**2 - 17*i**3 + 4 wrt i? -102 Let j be (0 - -1) + (1 - 8). Let z be (j - -4)*(-2 + 0). Find the second derivative of -3*w**z + 3*w - w + w - 4*w**4 wrt w. -84*w**2 Let v(u) be the first derivative of 0*u**4 - 50 + 0*u**3 + 1/5*u**5 + 1/3*u**6 + 17*u - u**2. Find the second derivative of v(p) wrt p. 40*p**3 + 12*p**2 Let j(b) = b**5 - b**3 + 2*b**2 - b. Let v(r) = 30*r**5 + 3*r**3 - 6*r**2 - 215*r. Let f(p) = -3*j(p) - v(p). What is the second derivative of f(g) wrt g? -660*g**3 Let z(f) be the third derivative of -7*f**6/120 - f**5/60 + 25*f**4/3 - 10*f**2 + f. What is the second derivative of z(c) wrt c? -42*c - 2 Let z(i) = 11*i**2 + i. Let s be z(1). Suppose -x - g = 4*g - s, 12 = 4*x + 2*g. Find the third derivative of -6 + 3*j**4 + 6 + 5*j**x wrt j. 72*j Let w(h) be the second derivative of 5*h**4/12 - 32*h**3/3 + 969*h**2/2 + 2*h - 362. What is the derivative of w(x) wrt x? 10*x - 64 Let a(q) be the third derivative of -17*q**4/24 - 47*q**3/6 + 22*q**2 + 1. Differentiate a(y) with respect to y. -17 Let x(s) = 112*s**2 - 243*s - 2. Let r(c) = 111*c**2 - 242*c - 3. Let g(o) = -2*r(o) + 3*x(o). What is the second derivative of g(z) wrt z? 228 Find the third derivative of -91*a**3 - 294 - 2*a**2 + 70*a**3 + 0*a**2 + 55 - 184*a**3 wrt a. -1230 Let k(x) = 12*x - 14. Let b(h) = h. Let i(r) = -4*b(r) - k(r). Let n(f) = 16*f - 15. Let g(q) = -6*i(q) - 4*n(q). Differentiate g(c) with respect to c. 32 Find the second derivative of 4*l**2 - 9*l**2 + 5*l**2 + 3 + 0*l**2 + 32*l + l**5 - 52*l**4 wrt l. 20*l**3 - 624*l**2 Let u(h) = -h**2 - 8*h - 4. Let f be u(-6). What is the third derivative of 217*t**4 + 5*t**5 - 217*t**4 + f*t**2 wrt t? 300*t**2 Suppose -201 = -5*d + 2*z, 0 = -2*d + z + 2*z + 87. Find the second derivative of 9*t - d*t + 23*t**3 - 6*t wrt t. 138*t Let d = 7 - 2. Suppose 2*j - d*n + 10 = j, 0 = -4*n + 12. What is the derivative of -3*w**2 + 5*w - j*w - w**2 - 2 wrt w? -8*w What is the first derivative of 70 - 61 + 12 - 145*c + 50*c + 58 wrt c? -95 Let j be (-2)/(-5) - 76/(-10). Suppose -j = -2*t - 4. What is the second derivative of -v**5 + v + t*v**3 - 2*v**3 + 4*v wrt v? -20*v**3 Let a(o) be the third derivative of 19*o**7/210 - o**6/120 + 37*o**5/15 + 5*o**2 - 7. What is the third derivative of a(m) wrt m? 456*m - 6 Suppose 3*a - 2*h = -3*h + 13, 4*h - 16 = 0. Find the third derivative of -5*x**3 - 7*x**2 + 10*x**a - 14*x**3 - 2*x**2 wrt x. -54 Let w(z) be the first derivative of -12*z**7 + 404*z**3/3 + 942. What is the third derivative of w(m) wrt m? -10080*m**3 Find the second derivative of -243*m**4 + 262*m**4 - 3 + 39*m + 2 wrt m. 228*m**2 Let y(l) = -12*l**2 + 6*l + 9. Let q(b) = 12*b**2 - 5*b - 8. Let w be -1*(7 + (2 - 4)). Let f(p) = w*y(p) - 6*q(p). What is the first derivative of f(x) wrt x? -24*x Let k(q) = -310*q**4 - 3*q**3 + 3*q**2 + 2*q - 4. Let c(r) = -r**3 + r**2 - r + 1. Let g(y) = -3*c(y) + k(y). What is the second derivative of g(t) wrt t? -3720*t**2 Suppose 63 = 4*y - 61. Differentiate 10 + 8 - 9*v**4 + y*v**4 with respect to v. 88*v**3 Let o(s) be the second derivative of -7*s**4/3 - s**3/6 + s - 4. What is the second derivative of o(c) wrt c? -56 Suppose -3*d + 43 + 80 = 0. What is the derivative of -6 - 3*i**4 - 4 - d*i**3 + 41*i**3 wrt i? -12*i**3 What is the third derivative of 8*o**2 - 28*o**3 + 32*o**3 - 19*o**3 wrt o? -90 Find the first derivative of -3*d**2 - 3*d**2 - 15*d**2 - 23*d**3 + 18*d**2 - 104 wrt d. -69*d**2 - 6*d Find the first derivative of -436 - 131 + 239*k**2 - 576*k**2 - 354*k**2 wrt k. -1382*k Let s(h) = -4*h - 12. Let z(b) = -112*b + 58*b + 12 + 57*b. Let q(a) = 5*s(a) + 4*z(a). What is the derivative of q(r) wrt r? -8 Let v(l) = l**3 - 6*l**2 + 5*l + 2. Let x be v(6). Let j = x + -18. What is the first derivative of j + 3*r**3 + 0*r**3 - 17*r**3 wrt r? -42*r**2 Suppose 0 = -4*f + 8 + 4. Find the third derivative of -10*c**2 - 5*c**f - 3*c**3 + 5*c**3 wrt c. -18 Let l(v) be the first derivative of -61*v**5/5 - 32
{ "pile_set_name": "DM Mathematics" }
mposite? False Is 35093 composite? True Is 74 a composite number? True Is 9199 prime? True Is 20089 composite? False Is 15163 a composite number? True Is 1566343 prime? True Is 27926 a prime number? False Is 30809 a prime number? True Is 2276407 a composite number? True Is 2203 a composite number? False Is 138493 a composite number? False Is 29977 a composite number? True Is 180779 a prime number? True Is 783119 prime? True Is 12841 composite? False Is 54053 composite? True Is 263297 composite? True Is 32411 a composite number? False Is 37831 a prime number? True Is 16183 prime? True Is 307 composite? False Is 36629 prime? True Is 12605 a prime number? False Is 2503 a composite number? False Is 68953 a prime number? False Is 1657 a composite number? False Is 168599 composite? False Is 143357 prime? True Is 13465 a composite number? True Is 5091 a composite number? True Is 15127 a prime number? False Is 69241 composite? True Is 1047157 a composite number? False Is 546317 a prime number? True Is 29819 a composite number? False Is 144323 prime? True Is 13649 prime? True Is 157163 a prime number? True Is 9357 a composite number? True Is 200921 a composite number? True Is 1443187 prime? False Is 257941 a prime number? False Is 420521 a prime number? True Is 5935 composite? True Is 1148029 a composite number? False Is 79801 a composite number? False Is 587 prime? True Is 65003 prime? True Is 162209 a prime number? True Is 9799 prime? False Is 113353 composite? True Is 16691 composite? False Is 63241 composite? False Is 13739 prime? False Is 1035399 a composite number? True Is 2175187 prime? False Is 928077 a composite number? True Is 4613 a prime number? False Is 258985 a prime number? False Is 958651 prime? False Is 1637 prime? True Is 3710561 a prime number? True Is 1361 prime? True Is 9199 a prime number? True Is 114031 prime? True Is 50017 composite? True Is 289 a composite number? True Is 46619 composite? False Is 1741 a prime number? True Is 936383 prime? False Is 201323 prime? False Is 39929 a prime number? True Is 1382 prime? False Is 3989 composite? False Is 128569 a prime number? False Is 72817 a composite number? False Is 19121 composite? False Is 44833 a prime number? False Is 55669 a composite number? True Is 1511 a prime number? True Is 9389 prime? False Is 323899 composite? False Is 24193 composite? True Is 352277 a prime number? False Is 1185761 composite? True Is 51707 prime? False Is 11183 a prime number? False Is 16087 a prime number? True Is 3419 composite? True Is 13001 composite? False Is 2761 a prime number? False Is 2515 a composite number? True Is 2418733 composite? False Is 393779 prime? True Is 379 a prime number? True Is 13045 a prime number? False Is 787 prime? True Is 2333 a composite number? False Is 240161 composite? True Is 89431 composite? False Is 5079 a prime number? False Is 22465 prime? False Is 199021 a composite number? False Is 6997 a composite number? False Is 431905 composite? True Is 17891 a prime number? True Is 257327 composite? True Is 118793 a prime number? False Is 610387 composite? True Is 58253 a composite number? True Is 90053 a composite number? False Is 252139 prime? True Is 17597 a prime number? True Is 5623 composite? False Is 3097 a prime number? False Is 23889 a composite number? True Is 2326 prime? False Is 66469 a composite number? True Is 239539 composite? False Is 31039 a composite number? False Is 896482 prime? False Is 302287 prime? True Is 27611 a prime number? True Is 25367 composite? False Is 638317 a prime number? True Is 245171 prime? True Is 665479 composite? False Is 6767 a prime number? False Is 77641 a prime number? True Is 9853 a composite number? True Is 6740951 a prime number? False Is 2518 prime? False Is 489259 prime? False Is 3259 prime? True Is 7517 a prime number? True Is 35027 a composite number? False Is 357557 a prime number? False Is 339689 a prime number? False Is 353557 composite? False Is 83203 prime? True Is 2570143 a composite number? True Is 782513 composite? True Is 2761 composite? True Is 183283 a prime number? True Is 107585 a prime number? False Is 9791 a composite number? False Is 1532729 a composite number? True Is 81893 a prime number? False Is 3247073 prime? True Is 681 a composite number? True Is 7331 composite? False Is 528091 a prime number? True Is 50177 a composite number? False Is 141938 a prime number? False Is 504626 prime? False Is 120539 a prime number? True Is 9277 prime? True Is 4583 a prime number? True Is 112862 a composite number? True Is 15907 composite? False Is 2722 a composite number? True Is 7121 composite? False Is 25793 prime? True Is 9091 prime? True Is 8059 composite? False Is 379201 a composite number? True Is 7327 a prime number? False Is 3389 a composite number? False Is 173659 composite? False Is 27923 a prime number? False Is 36154 composite? True Is 510571 composite? True Is 8371 composite? True Is 22433 composite? False Is 457753 composite? True Is 7033 a prime number? False Is 74257 a prime number? True Is 22031 a prime number? True Is 2146663 a prime number? True Is 558457 composite? False Is 600359 a prime number? True Is 57185 a prime number? False Is 1877219 prime? False Is 3197 prime? False Is 6187 prime? False Is 3791 a composite number? True Is 46391 prime? False Is 9029 a composite number? False Is 84505 a composite number? True Is 188491 prime? True Is 718897 a prime number? True Is 28081 a composite number? False Is 122329 a prime number? False Is 71843 a composite number? False Is 4591 a prime number? True Is 12011 a composite number? False Is 4000631 a composite number? False Is 17047 a prime number? True Is 4821 composite? True Is 19799 prime? False Is 7031 a prime number? False Is 215 composite? True Is 9239 composite? False Is 69623 composite? False Is 249593 prime? True Is 8929 prime? True Is 731 prime? False Is 24391 a prime number? True Is 15955 a composite number? True Is 7949 a composite number? False Is 17341 composite? False Is 59647 a composite number? True Is 3907 composite? False Is 610969 prime? True Is 46333 composite? True Is 700694 prime? False Is 78278 prime? False Is 372733 a composite number? False Is 12689 a composite number? False Is 535039 composite? True Is 999653 a composite number? False Is 53615 prime? False Is 2042749 a composite number? False Is 493369 prime? True Is 80035 a prime number? False Is 1248289 composite? True Is 9521 a prime number? True Is 21247 composite? False Is 447859 composite? False Is 177371 a prime number? False Is 2395 composite? True Is 60353 a composite number? False Is 1795951 prime? True Is 2843 prime? True Is 1073 composite? True Is 802 composite? True Is 12841 composite? False Is 457267 composite? False Is 159257 prime? False Is 72461 a composite number? False Is 40559 a composite number? False Is 3821 a prime number? True Is 117155 composite? True Is 584587 composite? False Is 629 prime? False Is 54721 a composite number? False Is 42241 a prime number? False Is 108877 a prime number? True Is 57313 a composite number? True Is 31793 a prime number? True Is 35729 a prime number? True Is 6449 a composite number? False Is 404227 a prime number? False Is 70423 composite? False Is 19883 prime? False Is 2503 composite? False Is 65003 a prime number? True Is 9349 prime? True Is 88589 a prime number? True Is 509827 prime? False Is 189547 composite? False Is 8263 a prime number? True Is 28181 a prime number? True Is 120191 a composite number? True Is 45789 a prime number? False Is 20101 a composite number? False Is 273687 composite? True Is 83267 a composite number? False Is 170629 a composite number? True Is 6483 composite? True Is 4391 composite? False Is 98799 composite? True Is 1777 composite? False Is 8623 a composite number? False Is 8263 a prime number? True Is 203971 prime? True Is 991 a composite number? False Is 2287 a prime number? True Is 32105 prime? False Is 3647 a prime number? False Is 6001 prime? False Is 19 prime? True Is 1382 a prime number? False Is 225809 composite? False Is 2623 prime? False Is 40405 a composite number? True Is 313109 prime? True Is 369865 composite? True Is 58663 a composite number? True Is 11027 prime? True Is 145177
{ "pile_set_name": "DM Mathematics" }
s -95920298.5 rounded to the nearest 10000? -95920000 What is 10048.4369 rounded to the nearest 100? 10000 Round -0.000243666568 to five decimal places. -0.00024 Round -0.0311775421 to 3 dps. -0.031 Round -12.31936 to 3 dps. -12.319 Round 73.6986398 to 3 decimal places. 73.699 What is 11.67427934 rounded to 1 decimal place? 11.7 Round -0.23169409295 to 4 decimal places. -0.2317 What is -0.0052768275 rounded to 4 decimal places? -0.0053 What is 70848925400 rounded to the nearest one million? 70849000000 What is 7.423624247 rounded to one decimal place? 7.4 Round -0.035190931 to four decimal places. -0.0352 What is 0.2969856 rounded to zero decimal places? 0 Round -67401911.02 to the nearest 100000. -67400000 Round 4945150.77 to the nearest one hundred thousand. 4900000 Round 119.9399812 to the nearest ten. 120 What is 557608.093 rounded to the nearest one thousand? 558000 Round -0.000109786273 to 5 decimal places. -0.00011 Round -2446.57423 to the nearest integer. -2447 What is -0.000260841992 rounded to 6 decimal places? -0.000261 Round -164224.551 to the nearest ten. -164220 What is -26299702 rounded to the nearest one hundred thousand? -26300000 Round -0.0496718447 to 4 decimal places. -0.0497 What is -375121.21 rounded to the nearest ten thousand? -380000 Round 29060234.6 to the nearest 1000000. 29000000 Round -7309.3419 to the nearest ten. -7310 What is -31238229.83 rounded to the nearest ten thousand? -31240000 What is 41549.6735 rounded to zero dps? 41550 What is -8073.01236 rounded to the nearest 100? -8100 What is -5361986.72 rounded to the nearest one thousand? -5362000 What is 0.902448974 rounded to one dp? 0.9 Round 0.233300257 to four decimal places. 0.2333 Round -1773.4687 to the nearest 100. -1800 Round -0.0000435945509 to 5 decimal places. -0.00004 What is 0.004389408696 rounded to 4 dps? 0.0044 What is -363467.1 rounded to the nearest one million? 0 What is -0.001698771069 rounded to 4 dps? -0.0017 Round -24.2063999 to 2 decimal places. -24.21 Round 7.8386703 to 1 decimal place. 7.8 What is 531.785684 rounded to one decimal place? 531.8 What is -114889.4313 rounded to the nearest ten thousand? -110000 Round -568.823589 to zero decimal places. -569 What is 1698107.638 rounded to the nearest ten? 1698110 Round 2403231.756 to the nearest one hundred. 2403200 What is 0.03145157295 rounded to 4 dps? 0.0315 What is -179537050 rounded to the nearest one hundred thousand? -179500000 What is 27274989.43 rounded to the nearest ten thousand? 27270000 Round -0.209040358 to two dps. -0.21 What is 0.0001069720894 rounded to five dps? 0.00011 Round 1703164.68 to the nearest one hundred thousand. 1700000 Round 8.31889863 to one decimal place. 8.3 Round 9900769620 to the nearest 1000000. 9901000000 Round -27834.75556 to zero dps. -27835 What is -2507117.06 rounded to the nearest one hundred thousand? -2500000 Round -96267324.7 to the nearest 1000000. -96000000 Round -0.00317569083 to five dps. -0.00318 What is -124006.157 rounded to the nearest 100? -124000 Round -775878.2 to the nearest one hundred. -775900 What is 15250136.21 rounded to the nearest 100? 15250100 Round 16923565970 to the nearest one million. 16924000000 What is -7.469618617 rounded to four decimal places? -7.4696 Round 14862.43269 to the nearest integer. 14862 Round 0.359414465 to 4 decimal places. 0.3594 What is 386.9796445 rounded to 2 dps? 386.98 Round 181256.934 to the nearest one thousand. 181000 Round -0.00053998144 to 7 decimal places. -0.00054 What is 864.893989 rounded to two decimal places? 864.89 What is 102152199.7 rounded to the nearest 100000? 102200000 What is 16354.20629 rounded to the nearest 10? 16350 Round 582.765105 to the nearest one hundred. 600 Round 0.0164722287 to six decimal places. 0.016472 What is -26443981.8 rounded to the nearest one million? -26000000 What is 0.00000476477471 rounded to 6 dps? 0.000005 Round -0.06047584977 to two decimal places. -0.06 What is -2.068828685 rounded to 1 decimal place? -2.1 Round 1542066.87 to the nearest ten thousand. 1540000 What is 6.39996206 rounded to 4 dps? 6.4 Round -19.5393175 to one decimal place. -19.5 What is 168.65955575 rounded to 0 decimal places? 169 What is -3.271954 rounded to one dp? -3.3 What is 654301.46 rounded to the nearest ten thousand? 650000 What is -0.60635186 rounded to three decimal places? -0.606 Round -0.001357459018 to 6 dps. -0.001357 What is -914.9566681 rounded to the nearest 100? -900 What is -0.000134636159 rounded to five decimal places? -0.00013 Round -120.401168 to 0 dps. -120 Round -0.00000032980717 to 7 decimal places. -0.0000003 What is 11389755.555 rounded to the nearest one hundred thousand? 11400000 What is 0.00235112572 rounded to seven dps? 0.0023511 Round 0.0004407402 to 6 decimal places. 0.000441 What is 7.9812016 rounded to two dps? 7.98 What is 10496541300 rounded to the nearest one million? 10497000000 Round -2978.611304 to the nearest 10. -2980 Round -0.370741796 to three dps. -0.371 What is -0.0000272533414 rounded to 7 decimal places? -0.0000273 What is 0.00005190014 rounded to 6 decimal places? 0.000052 What is -893.31304 rounded to 1 decimal place? -893.3 What is -0.051435445 rounded to 3 decimal places? -0.051 Round -275.408304 to the nearest 10. -280 Round 805453.359 to the nearest ten thousand. 810000 What is -0.0248385359 rounded to six decimal places? -0.024839 Round 33710.401 to the nearest one hundred. 33700 Round 38.955918 to 0 dps. 39 What is 0.0001188007293 rounded to 5 dps? 0.00012 What is 0.00745311554 rounded to six decimal places? 0.007453 Round -366280.36 to the nearest ten thousand. -370000 Round 0.05491444821 to five dps. 0.05491 Round 50993342.4 to the nearest 1000000. 51000000 Round -4052744 to the nearest one hundred thousand. -4100000 Round -791.044771 to the nearest one hundred. -800 What is -6601589.82 rounded to the nearest one hundred thousand? -6600000 What is 0.0000638526256 rounded to seven decimal places? 0.0000639 What is -0.289504078 rounded to 5 decimal places? -0.2895 What is 0.0157971595 rounded to 6 decimal places? 0.015797 Round 0.000296706291 to 4 decimal places. 0.0003 What is 0.19384988675 rounded to 5 decimal places? 0.19385 What is -0.0003977140296 rounded to 5 decimal places? -0.0004 What is 2.0672631 rounded to 3 dps? 2.067 What is 21.457391 rounded to two dps? 21.46 What is -0.7060108815 rounded to 2 dps? -0.71 Round -0.1034467609 to 4 dps. -0.1034 What is -3850087.03 rounded to the nearest 1000? -3850000 What is 45.13617135 rounded to 2 dps? 45.14 What is -1048.3236758 rounded to 1 dp? -1048.3 What is -1665077879 rounded to the nearest 100000? -1665100000 Round 6.590811128 to the nearest integer. 7 What is -0.614822181 rounded to five dps? -0.61482 Round -0.0003231736225 to seven dps. -0.0003232 What is 11216581.048 rounded to the nearest one thousand? 11217000 What is -31990.61673 rounded to the nearest integer? -31991 Round 83767.164 to the nearest one hundred. 83800 What is -4038757.7 rounded to the nearest 1000000? -4000000 Round -0.0001046739084 to 5 decimal places. -0.0001 What is 820008.8 rounded to the nearest 10000? 820000 Round -32633827.65 to the nearest one thousand. -32634000 What is -0.00810577323 rounded to five dps? -0.00811 Round -40412374 to the nearest one hundred thousand. -40400000 Round -0.000608546409 to five decimal places. -0.00061 Round -273782620 to the nearest 1000000. -274000000 Round 562.394611 to the nearest integer. 562 Round -374329059 to the nearest one million. -374000000 Round 2473.88751 to the nearest ten. 2470 Round -58231487 to the nearest one hundred thousand. -58200000 Round -2815547089 to the nearest one million. -2816000000 Round -0.0000523097808 to five decimal places. -0.00005 What is 666041583 rounded to the nearest 100000? 666000000 Round -1022178976.5 to the nearest one million. -1022000000 Round 830850118 to the nearest 10000. 830850000 Round -0.0325414571 to 2 decimal places. -0.03 What is -0.000001990669089 rounded to seven dps? -0.000002 What is 0.037521667 rounded to two decimal places? 0.04 Round -38452871 to the nearest 1000000. -38000000 What is -0.00000569951286 rounded to six decimal places? -0.000006 Round 1146333.99 to the nearest 100. 1146300 What is
{ "pile_set_name": "DM Mathematics" }
est value in 15.3, -0.2, 0.5? 15.3 Which is the second smallest value? (a) -1 (b) -0.4 (c) 2/447 b Which is the second biggest value? (a) 0 (b) -0.02 (c) 1/4 (d) -9 (e) -2 a What is the fifth smallest value in -2/5, -0.1, -5/4, 170, -5? 170 What is the second smallest value in 0.4, -1, 10.47? 0.4 Which is the smallest value? (a) -3/4 (b) 32 (c) 0.1 (d) -0.3 a Which is the third smallest value? (a) 1/3 (b) 1830 (c) 9 b What is the smallest value in 3/4, 7, -5, -1/10? -5 What is the third smallest value in -134, 0, -0.3? 0 What is the fourth smallest value in -1, 1/11, 10, 0.3, -2? 0.3 What is the biggest value in 41, -3, -1? 41 What is the smallest value in -1647, -4, -3/5, -0.2? -1647 Which is the third biggest value? (a) -2/5 (b) -3 (c) -7/4 (d) -8 b Which is the smallest value? (a) -3 (b) -4 (c) 12 (d) -2/137 (e) 5 b What is the second smallest value in -1, 127, 0.2, -2? -1 Which is the third smallest value? (a) 5 (b) -7/5 (c) 0 (d) 68 a Which is the second biggest value? (a) -3 (b) -7/5 (c) -1 b Which is the biggest value? (a) 0.5 (b) 1/16 (c) -28 (d) 0.4 a What is the smallest value in -5, -1/5, -4/5, 0.3, -3? -5 Which is the second smallest value? (a) -1 (b) -3/2 (c) 0.2 (d) -1.3 d Which is the second smallest value? (a) 32 (b) 0.05 (c) -4 b What is the biggest value in 0.2, 4, -5, 20? 20 What is the second biggest value in 110, -2, -3/4? -3/4 Which is the fourth smallest value? (a) -0.1 (b) -0.03 (c) 11 (d) 2/5 c What is the biggest value in 4, -365, -2, 0.1? 4 What is the smallest value in -2, 96, -4, -8? -8 Which is the second biggest value? (a) 4 (b) 0.04 (c) 57 a What is the fourth smallest value in -5, -1, 4, 3/7? 4 What is the second smallest value in 2/11, 3, -0.4, 33, 2/21? 2/21 Which is the fourth biggest value? (a) -6/7 (b) 1 (c) 0.3 (d) -69/5 (e) 0.5 a Which is the third biggest value? (a) 1/4 (b) 5 (c) 38 a Which is the smallest value? (a) 2 (b) -5 (c) -9/4 (d) 6 b What is the third smallest value in -8/3, -3/4, 20? 20 What is the third smallest value in -1, 1, -5, -0.3? -0.3 Which is the second smallest value? (a) -2/31 (b) -5.5 (c) -4/9 (d) 5/6 c What is the fourth smallest value in 0.2, -302, 3/7, -1/8, 0.5? 3/7 Which is the third biggest value? (a) 0.18 (b) -5 (c) -7/2 b What is the third smallest value in -5, -4, 18? 18 Which is the second smallest value? (a) 0.5 (b) 4 (c) -0.04 a What is the third biggest value in 1/2, -5, -0.01? -5 What is the third biggest value in 0.2, 5, -2/3? -2/3 What is the third biggest value in 0.5, -10, 8? -10 Which is the second biggest value? (a) 6/19 (b) 0 (c) 3/97 c What is the fourth smallest value in -2/13, -4, 0, -1? 0 What is the second biggest value in 3, -3, -4, -84, 0.3? 0.3 Which is the biggest value? (a) -23 (b) 5 (c) 1/3 (d) -0.4 (e) -3 b Which is the smallest value? (a) -0.4 (b) -5/4 (c) 1 (d) -18 d Which is the smallest value? (a) -7 (b) -13 (c) -1.8 b Which is the fourth biggest value? (a) 0.5 (b) 2 (c) 2/21 (d) -4 (e) 2/11 c What is the third smallest value in -12, 0, 1, -4, 6? 0 Which is the biggest value? (a) -0.5 (b) 0.5 (c) 0.06 (d) -160 b Which is the third smallest value? (a) 2/17 (b) -13 (c) -0.03 a Which is the biggest value? (a) -16 (b) 2/3 (c) -4 b Which is the second biggest value? (a) -15/2 (b) -1 (c) 0.4 (d) 4 c What is the third smallest value in -30/11, -13, -1/7, 1? -1/7 What is the biggest value in 5.4, -4, 0.4? 5.4 Which is the third biggest value? (a) 0.5 (b) 4 (c) 0.06 c What is the smallest value in 6, 0.07, 0.1? 0.07 What is the second biggest value in -3, -28, 2? -3 Which is the fourth biggest value? (a) 8 (b) 1 (c) 3/4 (d) 4 (e) 0 c Which is the third biggest value? (a) -2/9 (b) 2/5 (c) -1/15 (d) 2/7 (e) -0.031 e Which is the second biggest value? (a) -0.2 (b) 0 (c) 10 b Which is the second biggest value? (a) 6 (b) -5 (c) 0.3 (d) -1.2 c Which is the biggest value? (a) 0.3 (b) -3/10 (c) -6/13 a What is the smallest value in -0.05, 0.2, -2, -1/7? -2 What is the third smallest value in -2/35, 2, 2.5? 2.5 What is the second smallest value in -0.2, 0.11, 3? 0.11 What is the second smallest value in -3, 0, 0.17? 0 Which is the third biggest value? (a) 7/8 (b) -1/2 (c) -36 c What is the second smallest value in 1/3, -0.4, -13? -0.4 Which is the fifth smallest value? (a) 2/9 (b) 6 (c) 4 (d) -18 (e) -4/9 b Which is the second biggest value? (a) 1 (b) -8 (c) -1/2 c Which is the second biggest value? (a) -0.0281 (b) 1 (c) 1/5 c Which is the second biggest value? (a) 0 (b) -5 (c) -3309 b What is the third smallest value in 2, -0.2, -3, -1.3? -0.2 Which is the third biggest value? (a) 1/3 (b) 1/4 (c) -10 c What is the second smallest value in -0.2, -4/9, 32? -0.2 Which is the third biggest value? (a) 3/2 (b) 13 (c) -3/5 (d) 4 (e) -5/3 a What is the smallest value in 8, 0, 3, 4, 2? 0 Which is the smallest value? (a) 0.112 (b) -4 (c) -5 c What is the third smallest value in -1, -1/4, -2/13, -5? -1/4 What is the second biggest value in 1/13, -1/4, -1, 4? 1/13 What is the smallest value in 3, -65, 1.1? -65 Which is the fourth smallest value? (a) -4 (b) 3/5 (c) 0 (d) 1/4 (e) 27 b What is the second smallest value in 2, -0.2, -7, 0.4? -0.2 Which is the third smallest value? (a) -16 (b) 1 (c) -2/13 b What is the third smallest value in -0.1, -1/9, -5, 5? -0.1 What is the second smallest value in -1/4, 2/31, 6/7, 1? 2/31 Which is the smallest value? (a) 17 (b) -1/15 (c) -3 c Which is the fourth smallest value? (a) 0.02 (b) 0.01 (c) -0.1 (d) -3 (e) -0.2 b Which is the third biggest value? (a) -3 (b) -1.5 (c) 0 a Which is the second biggest value? (a) -2 (b) -3 (c) -2.8 (d) 0 a What is the fourth smallest value in -4, 4, -8, -0.4, 0? 0 Which is the biggest value? (a) 2/9 (b) 94 (c) -5 b Which is the second smallest value? (a) 0.3 (b) 0.011 (c) -0.12 b Which is the fourth smallest value? (a) -2/9 (b) -5/3 (c) -31 (d) 2/13 d What is the fourth smallest value in -2/5, 1/14, 0.5, 2/7? 0.5 What is the second smallest value in 8, -0.2, 1? 1 What is the second smallest value in -0.29, 6, -4.4? -0.29 Which is the second smallest value? (a) -4 (b) -25 (c) 1 (d) -81 (e) -0.1 b What is the second biggest value in -0.5, -172/13, 1, -2/5? -2/5 What is the second smallest value in -5, 0.11, 0.3? 0.11 What is the smallest value in -0.4, -16, 0, -7? -16 What is the fourth biggest value in 0.3, -41, -1, 0? -41 Which is the third biggest value? (a) -3 (b) -6 (c) -5 (d) -2 c Which is the second smallest value? (a) -3/5 (b) 3/2 (c) 4 (d) -27 a What is the biggest value in 7/2, -1/2, -2? 7/2 What is the second biggest value in 2/19, 1, 0.2, 12/5? 1 What is the second smallest value in -2, -47, -0.4? -2 Which is the second biggest value? (a) 2/5 (b) 2/7 (c) -5.9 b What is the biggest value in -5/2, 37, 0.3? 37 What is the third smallest value in 10/9, -3/2, -6/5? 10/9 Which is the second smallest value? (a) 7 (b) 3 (c) 0.26 b What is the smallest value in 1/106, -4, 3/2? -4 What is the second biggest value in -2/13, -7, -32? -7 What is the second smallest value in 5, -0.5, -2/155? -2/155 Which is the fourth smallest value? (a) -36 (b) 0.3 (c) 0 (d) 6/13 d Which is the smallest value? (a) 2/79 (b) 1 (c) 3 (d) 2/5 a What is the third smallest value in 2/3, -3, 2, 27? 2 What is the second smallest value in -2, 9/8, 1? 1 What is the biggest value in -0.3, -0.1, 0.26? 0.26 Which is the second smallest value? (a) 0.06 (b) -5 (c) 17 (d) 0.1 a What is the third smallest value in -4/7, -0.3, -4, -10/3? -4/7 Which is the smallest value? (a) 2 (b) -3 (c) -7 (d) -1 c What is the second smallest value in -4, -170, -1, 0.4, 5? -4 What is the third smallest value in -0.01, 27.4, -3? 27.4 Which is the smallest value? (a) 4/7 (b) 2 (c) -0.215 c What is the second biggest value in -1/3, 1/78, -0.1? -0.1 What is the smallest value in -3, -4, -1/4, -2/7? -4 What is the smallest value in -1, 5, 124, -0.3? -1 Which is the third biggest value? (a) 0 (b) -8 (c) 1/4 (d) 1 (e) -1/5 a What is the second biggest value in -0.23, 6, 0.06? 0.06 Which is the third smallest value? (a) -1/2 (b)
{ "pile_set_name": "DM Mathematics" }
ify ((((u**(6/17)*u)/u)**17)**2)**(-35) assuming u is positive. u**(-420) Simplify ((z*(z*(z*z/z**(4/7))/z)/z*z*z*z**(-1)*z)/(z**(-10)/z**(-8)))**(-10) assuming z is positive. z**(-380/7) Simplify ((x*x**(-4))/(x/(x*x**(-1/7)*x)*x))/(x**(-8)*x**(2/5))*((x*x**(-4/5))**17)**(2/11) assuming x is positive. x**(1954/385) Simplify (((g**(1/10)/(g*g/(((g/(g/g**11))/g)/g*g)))**(-1/40))**(-47))**32 assuming g is positive. g**(7614/25) Simplify (u/(u/(u*(u*u**(14/9))/u*u)*u*u)*u/(((u/((u*u*u**(23/3))/u))/u)/u))/((u/(u/(u/u**(-10)*u)))/u**(1/48)) assuming u is positive. u**(35/144) Simplify (r*(r*r*r*r**(2/7))/r)**(-29)/(r**(-2/5)/r*r)**27*(r*r**1)**(-1/20)*r**4*r*r*(r**(-1/8)/r)/r assuming r is positive. r**(-22599/280) Simplify (d*d**(-8)*d/d**(-8))/(d/(d/(d/d**(-7)))*d**4)*(d/((d/d**(1/3))/d))/d**(6/7)*(d*d**(4/3))/d*d**(-3/2) assuming d is positive. d**(-407/42) Simplify ((r**(-5/4)*r**(2/5))/((r**(-1/5)*r*r)/r**(-2)))/((r/(r*r**(-2)*r)*r*r)/(r/(r/r**(2/5)))*r**(-1/2)*r**(-5)) assuming r is positive. r**(-7/4) Simplify ((p**(-2/27)*p*p**(-15))/(p**(4/5)/(p*p*p**(-12/5))))**(-5/9) assuming p is positive. p**(2062/243) Simplify ((r**11)**(2/125)*(r/(r*(r**(-13)/r)/r))/(r**11*r))**(-2/175) assuming r is positive. r**(-794/21875) Simplify (((i/((i/i**(-2/7))/i*i))/i**7)/(i*i**(-23)*i**(-4/23)*i))**(-2/93) assuming i is positive. i**(-4472/14973) Simplify (p*p/(p/(p/p**0))*p*p*p*p*((p/(p*p*p**(-2/15)))/p)/p*p)**(-32)*(((p/(p**(1/8)/p))/p)/(p**(-6)*p))**(-13) assuming p is positive. p**(-25037/120) Simplify ((n**(3/2)/(n*n**(-2/3))*(n*n**3/n*n*n)/n**(-5))**(-22))**(-3/29) assuming n is positive. n**(737/29) Simplify ((m**(-4))**(-39))**(-30)*m**(-7)*m**0*m*(m**(-2/3))**19 assuming m is positive. m**(-14096/3) Simplify (s**14*s*s**(-11/4)*(s**(4/3)/s)**(-15/8))**10 assuming s is positive. s**(465/4) Simplify (u**4/u**(-5)*(u**(-1/3))**(-26))/((u*u*u**1)**(-4/7)/((u**(-3/7)/u)/(u**(-2/5)*u*u))) assuming u is positive. u**(1717/105) Simplify ((w*w*w**(2/5))**(-40)/(w**(-9)*w/(w*w/(w*(((((w/((w/(w**(1/8)/w))/w))/w)/w)/w*w)/w)/w)*w)))**(-2/27) assuming w is positive. w**(73/12) Simplify ((((j**(-6/7)/j)/j)/j)/j**(-2/27))/(j*j**(-1/3)*j)**(-11/5)*(j**(1/5))**(-1)*(j/((j*j/(j/(j/(j*j**(-1/4)))))/j))**(8/9) assuming j is positive. j**(331/945) Simplify ((f*f**(-1/2))/(f/(f*f**(-4))))**(26/3)/((f**1*f*f**3)/(f/(f/f**0))**(6/31)) assuming f is positive. f**(-106/3) Simplify (((t**(-1/9))**(-2/75)*t**(-11)*t/((t/((t/((t/((t*t**(1/10))/t))/t))/t))/t*t))**9)**45 assuming t is positive. t**(-44133/10) Simplify (l**(-21)*l*l*l**(2/5)*l*((l**(8/9)/l)/l)**(1/21))**(-9/2) assuming l is positive. l**(8341/105) Simplify (((a*a/(((a/((a*a**(-2/13))/a*a))/a)/a))/a**6*a**(3/4)/((a/a**7*a)/a))**(-30))**(-33) assuming a is positive. a**(118305/26) Simplify (t*t/(t*t**(-4)))/t**(-2)*(t*t**(2/9))**28*((t/(t*t**(-2)*t))/t**(-2/9))/((t/t**(2/9))/t**(-4)) assuming t is positive. t**(113/3) Simplify (s**(3/8)/(s/((s/(s*(s/(s/(s*s/s**2)))/s*s*s))/s))*s**18/s*s**12)**43 assuming s is positive. s**(9073/8) Simplify (j**7/j*j/(j**(-7)/j*j*j))**43/((j**(1/4))**10)**(2/29) assuming j is positive. j**(16206/29) Simplify (m/m**(-3/23))/m**24*(m**(1/45)/m)/(m**(-2/61)*m) assuming m is positive. m**(-1566667/63135) Simplify (u**4*u/(u/u**(1/6))*(u*u**(-2/5))**15)**(3/16) assuming u is positive. u**(79/32) Simplify ((a*a**(9/2)*a/((a/a**(2/7))/a)*(a*a**(-1))**17)**(-38))**(-13) assuming a is positive. a**(23465/7) Simplify ((y**(-1/8)/y)/(y*y**11)*(y**8/y*y)**(-3/5))**(-30) assuming y is positive. y**(2151/4) Simplify ((h**(-1/3)/h)**47/(h/(h**(-8)/h)*(h*(h*h**(-1/3)*h)/h)/h))/(((h/h**(-7/2))/h*h**(4/9))/(h*h**(1/4)*h*h)**(-9)) assuming h is positive. h**(-3835/36) Simplify ((k/k**1)/k*k*(k*k*k**1*k)/k)/((k*k/(k/k**0)*k)/(k**(3/5)/k))*((k**(4/7)*k)/(k/((k**(-1/4)/k)/k)*k*k))**(-4/15) assuming k is positive. k**(166/105) Simplify (h**(-3/4)*h**(-21/4))/(((h**5/h*h)/h)/((((h*h**(-7)/h)/h)/h)/h)) assuming h is positive. h**(-20) Simplify ((x**(1/2)/x)/x*x**8)**(-2)/((x/(x*x**0))**(3/23))**(2/57) assuming x is positive. x**(-13) Simplify (j**(-6)/(j/(j/j**6)))**29*((j*j**(-1/2))/(j/(j*j**(-7))))/(j/(j*j**1)*j)**27 assuming j is positive. j**(-709/2) Simplify (((a/a**(-1))/((a**(-1/23)/a)/a))/(a**(-5)/((a/((a/((a*a*a*a/a**(17/3))/a))/a))/a)))**(-46) assuming a is positive. a**(-880/3) Simplify ((((((c*c*c/((c/c**3)/c))/c)/c)/c**(-3/5))/(c**4/(c/(c**(-8)*c*c))))**(39/7))**(-1) assuming c is positive. c**(-1482/35) Simplify (g*g/(g/(g/g**(-2/15)))*g*g/(g*g/g**(-3)*g*g)*g*((g/g**(1/10))/g)/g*g*g**(-4))/((g**0)**(-23))**(1/49) assuming g is positive. g**(-179/30) Simplify (w**(-26/7)/((w*w*(w**(-17/6)*w)/w*w)/w))/((w/(w/(w*(w*w*w**25)/w)))/(w**(-1/4)/w)) assuming w is positive. w**(-2615/84) Simplify p/(p*(p/(p*p**28))/p)*p*p*p**(1/28)*(p**(-6/11))**(26/9) assuming p is positive. p**(27221/924) Simplify ((q**4/q*q**(-5))/(q/(q/q**1))**(-2/49))/((q**(-1/5))**43*q*q**2*q**(2/19)/q) assuming q is positive. q**(21113/4655) Simplify (l**(-2)*l**14*l**9/l**(4/13))**(-1/39) assuming l is positive. l**(-269/507) Simplify (g**(-5/11)/((g*(g/g**26)/g)/g)*(g/g**(-4)*g)**(-42))**(-46) assuming g is positive. g**(114586/11) Simplify (k**16*(k**15*k)/k*k*(k/(k*((k/(k/(k/(k*k**12))))/k)/k))/k*k*k*k**(-2/29)*k)**36 assuming k is positive. k**(50040/29) Simplify ((u**(-21)/(((u*u**3*u)/u)/u))/(u/(u*u**(-4/5)/u*u)*u**(10/11)/u))**16 assuming u is positive. u**(-21744/55) Simplify j**2*j*(((j/(j*j/j**(-2)))/j*j)/j*j*j)/j*j*j**0*j*j**(-6)*((j*j/(j/j**(1/3)))/(j/(j/j**(-5))))**37 assuming j is positive. j**(691/3) Simplify (a*(a*a*(a*a**(-2/9)/a)/a*a)/a*a/(a**(1/5)*a*a)*a*a**(-2/5)/(a/a**(-1/5)*a))/(a*((a/a**(-2/7))/a)/a*a**(-2))**(1/8) assuming a is positive. a**(-509/630) Simplify ((x**(3/5)*x)/x**(-2/11))/(x**(-6)*x*x**(-4/9)/x)*(x/(x*((x/x**2*x)/x)/x)*x)**(-3/32)/(x/x**(5/4)*x**(-1/2)) assuming x is positive. x**(137729/15840) Simplify (((w/(w/((w/w**(2/3))/w*w)))/w*w*((w*w**(2/17))/w)/w*((w*w*w**(-6))/w)/w**0)**(1/7))**(-1/47) assuming w is positive. w**(283/16779) Simplify ((((l/(l**7*l))/l)/l)/(l/(l/(l**(-1/10)/l))))/(l/(l**1*l)*l*l**(-2/11)/l*l)*(((l/l**(1/9))/l)/l)/l**3*(l*l**(1/3))**(2/63) assuming l is positive. l**(-245051/20790) Simplify ((s*s/(s/s**7))**(-19)/(s/s**8*s)**(-35))**(-4/11) assuming s is positive. s**(1448/11) Simplify ((m/(m*m/(m/((m/(m**(3/17)*m))/m))))/m**32*(m*m**26)**(1/38))**(2/81) assuming m is positive. m**(-19453/26163) Simplify (((x**(2/11)/x)**(2/17)/(x/(x**(-2/5)*x*x*x*x))**(-18))**22)**(-10/7) assuming x is positive. x**(25056/17) Simplify ((u**(2/3)/u)**(8/3))**(1/18)/((u*u**(-1/7))/u**(-5))**(-1/28) assuming u is positive. u**(2537/15876) Simplify (v**(7/3)*v**6/v)/(v/(v**(-1/4)*v)*v)**49*(v**(-2/19)/v**(2/11))/(v/(v/(v*v/(v*v*v**(1/2)*v)))*v*v**3) assuming v is positive. v**(-142213/2508) Simplify ((b*b**(-1)*b)**(-23))**7/((b**(2/3))**(-45)*(b**(2/5))**(-3/14)) assuming b is positive. b**(-4582/35) Simplify ((j*j/(j/j**(-8))*j*j*j*j*j*(j/j**6)/j)/(j*j**(1/5)*j**4/j*j))/(((j/((j*(j/j**(1/4))/j)/j))/j)**(6/11))**(-46) assuming j is positive. j**(-381/55) Simplify (j/(j/(j**(2/49)*j))*j**(2/17))/(j**(2/35)*j**26) assuming j is positive. j**(-103703/4165) Simplify ((z**0)**(5/11))**(-3/13)*((z**(2/3))**21)**(-25) assuming z is positive. z**(-350) Simplify ((v*(v/(v/(v/(v/(v/v**(-2/9)*v)))))/v)/v**6)**(-11/3)/((v**(-1))**(-25)*v/(v/v**(-1))*v/(v/v**6*v)*v) assuming v is positive. v**(-436/27) Simplify ((o**(3/10))**41/(o**16*(o*(o**(-16)/o)/o)/o))**(-1/74) assuming o is positive. o**(-143/740) Simplify q**(-2/29)*q**4*q**(1/2)/(q/(q/q**(5/2)))*((q**(-2))**12)**(-17) assuming q is positive. q**(11888/29) Simplify (q/(q**(1/10)/q))/q*q**(-6)*q*(q/q**(-1)*q)**(-41)*q**(-1/11)*q/(q**0*q)*q/(q/q**(-4))*q*q**3 assuming q is positive. q**(-13991/110) Simplify (r**(-18)/r*r*r/r**(-3/5)*r**4/((r*(r*r*r*r**(-3/17)*r)/r)/r))**(-28) assuming r is positive. r**(36232/85) Simplify ((w**3*w)/(w/w**(2/7)*w))**18*((w**2/w)/(w*w/w**(-2/3)))/(w**4*w*w**(-8)) assuming w is positive. w**(892/21) Simplify (p*p**2*p*p**(-2/19)*p*p)**(-2)/((p/p**(2/3)*p**(3/2)*p)/((p/(p**0/p)*p)/p*p*p*p**(-7))) assuming p is positive. p**(-2009/114) Simplify ((j/j**(-1))/(j*j*(j/(j*j**(1/2)/j*j))/j*j))/(j**(-2)/j*j*j/(j**3/
{ "pile_set_name": "DM Mathematics" }
smallest value in 4, 106, -2/21, -45, -0.1? 106 Which is the second biggest value? (a) 0.3 (b) -10532 (c) -1/21 c What is the biggest value in 0.0445, -1/77, 0.08, 2/3? 2/3 What is the third smallest value in 0, 3, 1884, -0.5, -2/177? 0 What is the second biggest value in -35, 4/249, 0.2, -0.3? 4/249 What is the smallest value in 0.1, -0.3, -0.06, 0.0382, 1/4, 0.3? -0.3 Which is the fifth biggest value? (a) -3/5 (b) -1 (c) -57.7 (d) 6 (e) 1 (f) 3 b What is the fourth biggest value in -1, 2/35, -2, -0.011? -2 What is the third biggest value in -61/4, -1, -0.4, -0.16, -1/23? -0.4 What is the second biggest value in -4, -0.03, 5, 0.3, -3, -0.088? 0.3 Which is the third biggest value? (a) -16/47 (b) -0.5 (c) 1/5 (d) 4 a Which is the fourth smallest value? (a) 9.5 (b) -2 (c) 1 (d) 9 a Which is the sixth biggest value? (a) -5 (b) 2/11 (c) 18353 (d) 0.18 (e) 0.1 (f) -0.03 a Which is the biggest value? (a) 2 (b) 3.503 (c) -3 b What is the biggest value in -16, -1, 1050? 1050 Which is the second smallest value? (a) -2 (b) -0.36 (c) 4 (d) 5/2 (e) -12 a What is the fourth biggest value in -2/5, 92/73, 4, 103? -2/5 What is the second smallest value in -1/3, 0, 2/161, 8/5, -1, -1/5? -1/3 What is the smallest value in -3, 2/7, 2.601? -3 Which is the second biggest value? (a) -4 (b) 4/7 (c) -0.15 (d) 1/4 (e) 0 (f) -1/34 d What is the third smallest value in -9, 0.15, -2/17, -0.3, -1/8? -1/8 What is the second smallest value in 2, 3, -427, 202? 2 What is the biggest value in -10, 2/49, -0.006? 2/49 Which is the third biggest value? (a) -91 (b) -5 (c) 1.1 a What is the third smallest value in 5, -58, 48? 48 What is the third smallest value in 3/2, 288, -3642? 288 Which is the third smallest value? (a) 15 (b) -0.0456 (c) -13 a Which is the third biggest value? (a) -3/2 (b) 1604 (c) -2/79 a Which is the fifth smallest value? (a) 0 (b) 3 (c) 2 (d) 16 (e) -1 d What is the biggest value in -5, -4/7, 0.023, 0.0394, -2? 0.0394 Which is the third biggest value? (a) -2/7 (b) 3/7 (c) -2110 (d) 2 (e) 4 b Which is the biggest value? (a) -37 (b) -6 (c) -1/5 (d) -5 (e) 3 e What is the fourth smallest value in -4, -270, 2.86, 5, 4? 4 Which is the second biggest value? (a) -1/4 (b) 0 (c) 28.68 b What is the sixth smallest value in 0.2, -2, 2, -89/5, 2/17, 1/6? 2 Which is the smallest value? (a) -2/9 (b) 1 (c) 20211 (d) 0 a Which is the sixth smallest value? (a) 1/2 (b) 0.7 (c) -2 (d) -0.8 (e) -1 (f) -6 b What is the third biggest value in -744, -10, 62? -744 Which is the second smallest value? (a) -1134 (b) 4 (c) -2/3 c Which is the sixth smallest value? (a) 1/3 (b) -1.1 (c) 148 (d) 0.5 (e) 0 (f) 2 c What is the third smallest value in -1/3, -3, 15.4, 0.5, 1/3, 2.6? 1/3 What is the fourth biggest value in 1, 0, 2, -3, 57, 14/3? 1 Which is the biggest value? (a) 48 (b) -1/2 (c) -0.6 (d) 3 a What is the second smallest value in -1, -4, -484? -4 What is the fourth smallest value in -23, 2/5, -64, -0.4, -1? -0.4 Which is the third biggest value? (a) -365/261 (b) -16 (c) -3 (d) -4/3 c Which is the biggest value? (a) -1 (b) -16/3 (c) -0.122 c What is the second smallest value in -2/23, -2/9, 3, -1, -0.4, 13.31? -0.4 Which is the third smallest value? (a) 2 (b) 19 (c) -2 (d) 5/87 a Which is the third smallest value? (a) -4/3 (b) -2 (c) -60 (d) 2/745 a Which is the fourth biggest value? (a) -2/45 (b) -8 (c) -1 (d) -1/6 (e) -0.1 (f) 2/5 d What is the fifth smallest value in -1, 1, -1.8, 47, 3, 0.4? 3 Which is the biggest value? (a) -2/5 (b) -8/13 (c) 29 (d) 2 c Which is the third biggest value? (a) -975 (b) -3/7 (c) -5 a What is the fifth smallest value in -0.5, -0.01, -2, 98, 0.1, -14? 0.1 Which is the second smallest value? (a) -1/7 (b) 0.03 (c) -1 (d) 89 (e) -9 c What is the smallest value in 8.3, -3, 5, 0.13, 2/13? -3 What is the third smallest value in 2, 0.3, 14, 192? 14 Which is the third biggest value? (a) 0.4 (b) -1/3 (c) 18 b Which is the third biggest value? (a) -21 (b) 6/17 (c) -1.2 a What is the fourth biggest value in -1, -2/3, -2, 5, -21? -2 Which is the second biggest value? (a) 2/21 (b) 1/5 (c) 1.975 b Which is the second smallest value? (a) 2/11 (b) 1605 (c) -1.4 a Which is the third biggest value? (a) 5 (b) 1 (c) 2 (d) 586 c Which is the biggest value? (a) 0.5 (b) 140 (c) 1 (d) -4.5 b Which is the second biggest value? (a) -2/11 (b) 213.6 (c) 3 (d) 12 d What is the second biggest value in 3, -1/115, -2/59? -1/115 Which is the second smallest value? (a) -17 (b) 1 (c) -3 (d) 0.2 (e) -6/5 c What is the sixth biggest value in 0.2, -4, -2, -3, 0.0332, 2? -4 What is the third biggest value in -0.1, 3, 13/18, 1/8, -89? 1/8 Which is the second smallest value? (a) -1/6 (b) 1/4 (c) -936 (d) -4 d Which is the third biggest value? (a) -3 (b) -0.1 (c) -429 (d) 5 (e) -95 (f) -1 f What is the third biggest value in -0.1, -3, 5, -1/5, 153? -0.1 What is the third smallest value in -22, 0.16, 7? 7 What is the third biggest value in 1, -324, 0.9? -324 What is the fourth biggest value in -3/2, -1/4, -4, -3, 670? -3 Which is the fourth smallest value? (a) 2 (b) 3 (c) -2/9 (d) -174 b What is the fifth smallest value in -5, -1/5, -2/5, 4, -37/2? 4 What is the fifth biggest value in -5, -1/6, -1/7, -2, 6333, 2? -2 What is the second biggest value in 0.08, -131, -6? -6 Which is the third smallest value? (a) 1.5 (b) 22 (c) 1/2 b What is the fourth biggest value in 3, -0.051, 2, -113, 3/5? -0.051 Which is the third smallest value? (a) -3 (b) -10 (c) 35 (d) -64 a What is the second smallest value in 0.0364, 4, -0.1, -4/7, 0.5? -0.1 What is the fifth smallest value in 328, 2, 0.3, -5, -3? 328 What is the smallest value in -2, -0.1, -47700? -47700 What is the second smallest value in 2/39, 0.5, -0.26, 0.1, -0.4? -0.26 What is the fourth biggest value in -1/8, 2, -0.4, -56343, 1? -0.4 What is the smallest value in 16/3, -2, 5/6? -2 What is the fifth smallest value in 0.4, 132, -0.5, -1, 2/15, -2/9? 0.4 What is the second biggest value in 2/3, 230, 2, 1/8, 3/7, 0.4? 2 What is the smallest value in 433, -1, 69? -1 What is the fourth biggest value in 1/5, 23, -1943, 3/5, -5? -5 Which is the second biggest value? (a) 5/3 (b) 7.6 (c) 2/5 (d) -0.137 a What is the third biggest value in 3, -0.1, -196, -1, -140, 4? -0.1 Which is the second biggest value? (a) -0.7 (b) -1 (c) -37 (d) 5/4 a What is the third smallest value in -4, 0, -2642, -3/2? -3/2 Which is the smallest value? (a) -3/5 (b) -0.2 (c) 2/23 (d) 3/12778 a What is the fifth biggest value in -22, 13, -1, -5, 1, -0.3? -5 What is the second biggest value in -92.7, -23/7, -6? -6 What is the second biggest value in 3/11, 4, -2/7, -1859? 3/11 Which is the fourth smallest value? (a) -1/30 (b) 2 (c) -0.03 (d) 5 (e) 1/3 b What is the second smallest value in -0.08, -2/17, -1, -2, -14? -2 Which is the second biggest value? (a) -2/3 (b) -2 (c) 3522/101 (d) -0.4 d What is the smallest value in 0.02, 425, -1/9, 7? -1/9 What is the second smallest value in -137, 628, -2? -2 What is the biggest value in -2, -2891, 653? 653 Which is the third biggest value? (a) 2/447 (b) -116 (c) 0.3 b Which is the second biggest value? (a) 0.14 (b) -97 (c) -0.4 (d) 1/57 d Which is the second smallest value? (a) 0.3 (b) 0.26 (c) 0.18 (d) -0.6 c What is the second smallest value in 18/7, 0.00341, -2/17, -0.3, -1/2? -0.3 Which is the third smallest value? (a) 0.5 (b) 7/3 (c) -2.7 (d) 1 (e) 0 a What is the biggest value in -4/3, -2.6, -1, 3, -3/4? 3 Which is the fourth biggest value? (a) -3 (b) 8/4081 (c) 0.1 (d) -5 (e) 2/7 a Which is the fifth biggest value? (a) -0.05 (b) -0.02 (c) 3 (d) 3/11 (e) -6/7 e What is the biggest value in 2/3881, 9, 3, 0.3, 1? 9 What is the second biggest value in -4, -26, 10? -4 What is the third biggest value in 2401, -5, -3, 2, -1/4? -1/4 Which is the smallest value? (a) -0.4 (b) -0.7 (c) -4/2113 b Which is the biggest value? (a) -188 (b) 1 (c) -1 b Which is the biggest value? (a) -734 (b) 0.2 (c) -2 (d) -26 b Which is the second smallest value? (a) -1121 (b) -3 (c) -1/3 (d) -2 (e) 0.1 (f) 2 b What is the third big
{ "pile_set_name": "DM Mathematics" }
c*u, -x = -3*u - 3*x + 11. Is -2/11 >= u? False Suppose 0 = -3*z - 4*r + 4, r + 6 + 2 = -3*z. Let m be (5/46)/(z/14). Let y = m - -3/23. Is y not equal to 0.3? True Let w = 44/5 + -38/5. Let f(k) = k - 10. Let m = 115 - 105. Let h be f(m). Which is bigger: h or w? w Let h = 2998.22 + -3034. Let v = -0.02 + h. Let u = v + 36. Are 1/3 and u equal? False Let s = 57 - 58. Is s > -2? True Let p = 51 - 45. Let q be (3/8)/(p/4). Is q bigger than 3? False Let t = 252 - 4541/18. Let n = -2/9 + t. Let l = 0.4968 + 0.0032. Is n at most as big as l? True Suppose 13 - 5 = 4*l. Suppose l*v = j - 4, -4*j + 0*v = -5*v - 10. Is j at most -4/15? False Let y = -16 - -46. Suppose 4*b - 20 = -0*b, 3*b = 3*j - y. Suppose v - 5*w + 0 = 15, -2*v + j = -5*w. Is 2/13 < v? False Let n be (-7)/((-147)/(-4218)) - (-3)/(-21). Is n bigger than -201? False Suppose 5*i + 20 = 7*i. Suppose 2*m + 1 = -3*j - 2, -2*m - 5 = 5*j. Suppose m = 2*w - 0*w - i. Which is bigger: 6 or w? 6 Let y = -2136 + 2061. Is y less than or equal to -74? True Let f = -18 - -28. Let x = -61 - -69. Let h = x - f. Which is bigger: -0.2 or h? -0.2 Let s = 0.1 - 3.1. Let x = s + 2.9. Let c = 3.37 - 3.37. Is c >= x? True Let b = -15.5 + 17.5. Is 0.3 greater than b? False Suppose 3*i = -0*l - 3*l + 54, 0 = 2*i + l - 33. Does 0 = i? False Suppose 15 = -13*t + 9*t + 3*s, 17 = -4*t + 5*s. Which is greater: -76/29 or t? -76/29 Let f = -93.1 + 93. Is -131 at most as big as f? True Let o = 2 - 3. Let p = -40 - -41. Let n be p*2 - (-84)/(-51). Which is bigger: o or n? n Let t = -110 - -121. Suppose t*u = -4*u - 960. Does -64 = u? True Let f be 1 - (-2 + 24/8). Which is smaller: 2/1239 or f? f Suppose 11 = -7*n - 3. Let y(l) = 13*l + 6. Let j be y(n). Is j at least as big as -17? False Let j be (-4)/(-20) - (-114)/30. Suppose -59 = 5*u + 3*o + 37, -j*u + o - 70 = 0. Which is bigger: -17 or u? -17 Suppose 3*h - 3*y + 5*y = -7, -5*y = -3*h + 28. Are 2/6645 and h unequal? True Let a = 35 - 35. Suppose a*d + 120 = -4*d. Let v be ((-68)/d)/(10/(-15)). Which is greater: v or -3? -3 Let x = 14 - 23. Let w = 0.377 - 16.377. Let h = w - x. Is -0.1 at least as big as h? True Suppose 3*m = -k + 6 - 3, -5*k = 4*m - 4. Suppose -h - 2*x = -3*h + 4, 0 = x + m. Let q = -1/33 - -40/231. Is q not equal to h? True Let z = -564 + 471. Which is greater: z or 0? 0 Let k(q) = 8*q**2 + 7*q - 40. Let u be k(5). Which is greater: u or 196? 196 Let o(c) = 4*c**2 - 94*c + 49. Let s be o(23). Let f(t) = t**3 - 5*t**2 + t + 2. Let r be f(5). Which is greater: s or r? r Let t = -1.78 + 0.18. Let m = t - -1.6. Is m <= 8? True Suppose -4*f - 2 + 17 = 3*p, 2*f - p = -5. Is f equal to 6/271? False Suppose 0 = -4*n + 1 + 75. Suppose -5*h + 7 = 3*p - 20, -4*h + n = 5*p. Suppose -a = -2*o - 13, o - 21 = -h*a + a. Are 4 and a equal? False Let g = 111 + -103. Suppose -g*s + 3*s - 15 = 0. Which is smaller: -23 or s? -23 Let b be -1*(0/11)/5. Which is smaller: -36/29 or b? -36/29 Let u(n) = -n**3 - 7*n**2 + n + 9. Let r be u(-7). Suppose g + 2*w - 7 = 6*w, -2*w = -r*g + 8. Is 8/5 bigger than g? False Suppose 5*j = 3*j. Let h = -0.187 + 0.207. Is j equal to h? False Let m(w) = -4*w**3 + 3*w**2 - 10*w + 14. Let c be m(3). Is c != -97? False Let m(t) = t**2 - t + 1. Let r be m(-7). Suppose -18 = 3*c - r. Which is smaller: 15 or c? c Let q be (-5)/(-10) - 3/(30/5). Are q and -4/1545 equal? False Let o = 122 - -32. Which is greater: o or 151? o Suppose -13*o + 4*o = 270. Let f = -29 - o. Is f at least -2/7? True Suppose -4*l + 0*l = -8. Suppose -u - 67 = 4*q - 1, l = -u. Let j be (2/(-3))/(4/96). Is j < q? False Let d(j) = -2*j**3 + 13*j**2 - 4*j - 10. Let b be d(6). Suppose -b*q + 10*q - 408 = 0. Are 50 and q equal? False Let x be (-8*3/(-12))/(2/(-3)). Is x at least as big as -28? True Let o(l) = -l**2 + 23*l + 49. Suppose -2*a = -r + 6*r - 123, 0 = -r + 5*a + 30. Let i be o(r). Which is smaller: i or -5/16? i Let t = -4816 - -4767.42. Let c = 49 + t. Is -1/3 < c? True Let p be -1*(3 - -17) - (-5 - -1). Let r be (2 - 8/p)*22/30. Which is greater: r or 2? 2 Let y(b) = b**2 - 10*b + 6. Let o be y(10). Let g be o/(-15)*(-150)/(-8). Is g >= -9? True Let g be (-20624)/84 + 6/9. Let z = -244 - g. Let v = -1 - -2. Which is smaller: z or v? z Let r = -31 - -30. Suppose 4*w + 1 + 7 = 0. Is w smaller than r? True Let l = 5843.9 + -5843. Let m = 5.4 + -0.4. Let s = 7 - m. Is l less than s? True Let k be ((-1)/((-4)/10))/(1/4). Which is smaller: k or 2? 2 Suppose -3*x + 26 + 34 = 0. Suppose x = -4*m - 4. Is -17/3 smaller than m? False Let h(a) = -2*a**3 + 4*a**2 + a - 2. Let d be h(2). Suppose -4*q - 2 = 38. Let u be (-20)/(-52)*(-4)/q. Do d and u have different values? True Let q = 8.93 + -7.13. Suppose -3*a + 10 - 34 = 0. Let j be (a/24)/(10/12). Is j bigger than q? False Suppose -7*w + 288 = -w. Suppose -4*m + 2*y - w = 0, -2*m = 2*y + 13 + 5. Let t = -10 + 0. Which is smaller: t or m? m Let r(v) = -2*v**3 + 36*v**2 - 40*v + 34. Let s be r(17). Are -67 and s unequal? True Suppose 26*j + 1025 = 30613. Which is smaller: 1136 or j? 1136 Let m be 50/(-4)*12/15. Let p be (-16)/m + (-4)/(-10). Do 2 and p have the same value? True Let g = 606 + -521. Which is greater: 0.4 or g? g Let t = 31 + -28. Let f(b) = 5*b**2 - 1. Let s be f(1). Suppose -s = v - t. Is v equal to -3/13? False Suppose 0 = 3*n - 3*o - 237, -16 = 7*o - 3*o. Is 76 not equal to n? True Let z be (138/(-5))/((-50)/125). Is z equal to 68? False Let q = -25 - -10. Let s(f) = -f**3 + 16*f**2 - 2*f + 18. Let j be s(16). Which is bigger: q or j? j Let w be (5/(-1))/((-115)/23). Are 2/311 and w equal? False Suppose 4*u = -0*u. Let n be 1*26 - -20*1/(-4). Suppose 3*f = -u*f + n. Does f = 6? False Let f(g) = -g**3 + 10*g**2 - 13*g - 9. Let u be f(8). Suppose -11 = -y + 5*x, 0*x + 5*x + u = 5*y. Is 4/37 at most y? True Let x = -6053/2 + 453943/150. Does x = 1? False Let g(n) = -88*n**2 - 9*n - 1. Let s be g(3). Which is smaller: s or 1/2? s Let n = -29.5 - -32. Let g = n - 2.3. Which is greater: 4 or g? 4 Suppose 4*x - 3*x = -4*t + 352, 3*x + 2*t - 1086 = 0. Let q be (-94)/x*-2 + 10/(-35). Which is greater: q or 1? 1 Let v = 0.22 - 0.3. Let i = -0.12 + v. Let l = -1.6 - 2.4. Do i and l have different values? True Let m = 374/7 - 53. Let l(f) = f - 6. Let s be l(5). Let q be (s + 2/(-2))/2. Is q smaller than m? True Let p be ((-3340)/(-28) - -3)*7/28. Which is smaller: 30 or p? 30 Let l be (-4)/((-602)/(-105) - 18/3). Which is greater: l or 192/13? l Let w be 1554/24 + 4/16. Suppose 0 = 12*r + 17 - w. Is 7 smaller than r? False Suppose 5*b + 2 + 8 = 0, -2*p - 3*b + 52 = 0. Let f be (-60)/p + -2 + 4. Let z = -347 - -346.9. Is z bigger than f? False Let l = -7 + 6. Let q = l + 4. Suppose p - q = -5. Which is bigger: -1 or p? -1 Let y = 0.864 + -0.99. Let c = 0.226 + y. Which is greater: -15 or c? c Let b = -9.16 + 9. Let i = -385.9 + 386. Is i smaller than b? False Let j = 0.023 + 2.677. Let k = j - 2.6. Which is smaller: 0.5 or k? k Let b be ((-1)/(-39))/(828/(-5589)). Which is smaller: b or 0? b Suppose 4 = -3*i + 1. Let u be (-13)/4 + (-3 - (-39)/12). Let x be 3 - u/((-90)/87). Which is greater: i or x? x Let u(x) = x**3 - 8*x**2 - 16*x + 80. Let m be u(7). Does m = -92? False Let n = 111 - 56. Let k(o) = -19*o + 16. Let d be k(-2). Is d at least as big as n? False Let m be (1/(-183))/((-4)/(-1148)). Let g = m - 6/61. Is -1 at most g? False Suppose 28*l = 34*l + 126. Suppose 1 = -i - 22. Is i greater than l? False Suppose r - 6*r - 10 = 2*x, 2*x + 10 = 5*r. Suppose u - 5*i + 21 = 0, -5*i + r*i = -4*u - 9. Suppose u*m + 3 = 7. Are m and 3/13 nonequal? True Suppose 2*g + 20*g = 462. Let z be (4/8)/(1/(-46)). Let p = g + z. Which is greater: -1 or p? -1 Let s = 2596 - 2588. Which is greater: s or -42? s Suppose -2*n = 47 - 21. Let u(p) = p**3 + 12*p**2 - 15*p - 17. Let q be u(n). Let j be q + -16 + (1 - 0). Is j bigger than -6? False Suppose 135*h + 440 = 137*h. Which is smaller: 223 or h? h Let o = 0.1 + -0.1. Suppose 19 = 2*p - 9. Suppose 0 = 2*n + p - 4. Is o less than or equal to n? False Let h be (-2)/(-10) + (-132)/110. Let y(m) = -2*m**3 + 2*m**2 - 2*m - 3. Let u be y(h). Which is bigger: u or 32/9? 32/9 Let i(c) be the first derivative of c**4/4 - 10*c**3/3 - c**2 - 23*c - 19. Let o be i(10). Is o less than
{ "pile_set_name": "DM Mathematics" }
1008/5) Simplify ((((a*a**6*a*a)/a)/a)/a*a)/a*a*a**(-3/7)*a/(a*(a/(a*a/a**(-4/3)))/a)*a**(1/3) assuming a is positive. a**(215/21) Simplify (((o*o**(-3)*o)/o*o*o)**(3/19))**(-22) assuming o is positive. 1 Simplify (s**7/s)/(s*s**(-1))*(s/(s*s/(s/s**(-1))))**50 assuming s is positive. s**56 Simplify (g**(-5/4)*(g/g**(-10))/g*g*g*g)**(-3/37) assuming g is positive. g**(-141/148) Simplify (((s**(-2/5)/s)/s)/s)/(s**19/s) assuming s is positive. s**(-107/5) Simplify b**(-10/3)/(b*b**(-16)) assuming b is positive. b**(35/3) Simplify c**(6/11)/(c/(c/c**(-7/4))) assuming c is positive. c**(101/44) Simplify t**17/t**(2/47) assuming t is positive. t**(797/47) Simplify (g**(-1)/g*g*g**0*g)/((g**(2/11)*g)/g**1) assuming g is positive. g**(-2/11) Simplify (x/(x/x**(1/16)*x))/(x*x**29/x) assuming x is positive. x**(-479/16) Simplify ((j**(2/9))**15)**(-1/12) assuming j is positive. j**(-5/18) Simplify (y*y**3*y)**34 assuming y is positive. y**170 Simplify h**(-2/5)/(h**(1/9)/h) assuming h is positive. h**(22/45) Simplify u*u**(-1/7)/u*u*u**(-2)*u**(-1/4)/u*(u/(u**(-1/4)*u))/u assuming u is positive. u**(-22/7) Simplify (b**15/b**(-16))**8 assuming b is positive. b**248 Simplify (j**(-7))**(-17) assuming j is positive. j**119 Simplify ((i/((i**(1/2)/i)/i))**50)**13 assuming i is positive. i**1625 Simplify l**44/l*(l**10*l)/l*l assuming l is positive. l**54 Simplify n**(-4)/(n*n**7)*(n**(-1/3)/n)**(-35) assuming n is positive. n**(104/3) Simplify (d/(d/d**(-2/7)*d))**(1/3) assuming d is positive. d**(-3/7) Simplify s**(8/9)/(s/((((s*s/s**(-1))/s)/s)/s)) assuming s is positive. s**(-1/9) Simplify ((m**(-3/8)/m)/m**(1/21))**(-1/84) assuming m is positive. m**(239/14112) Simplify (h/((h*h*h**(-2/29))/h)*h**(-3/2))**11 assuming h is positive. h**(-913/58) Simplify (z*z*z*z/z**(-1/6)*z**(-12)/z)**(2/31) assuming z is positive. z**(-53/93) Simplify (((k**(1/2)*k)/k)/k**1)/(k/(k/(k/(k*k*k*k*k**1))))**(-2/3) assuming k is positive. k**(-19/6) Simplify ((q*q*q**(-1)*q)/(q**(2/5)/q*q))/((q/(q*(q**(-1/3)/q*q*q)/q))/q)**(-9/4) assuming q is positive. q**(1/10) Simplify (x**0/x**(-2/3))/(x/(x/((x**0*x)/x))*x)**45 assuming x is positive. x**(-133/3) Simplify (r**7*r**(-3)/r)**21 assuming r is positive. r**63 Simplify (j**(4/11))**(-26) assuming j is positive. j**(-104/11) Simplify (w*w*w*w/(((w*w/(w*w/(w*w**(-1/3))*w))/w*w)/w)*w*w)/(w*w/(w/(w*w**3)*w)*w*w)*(w/w**(-6))/w**(-8) assuming w is positive. w**(49/3) Simplify ((r**(1/4)/r)/r*r*r*r)/r**(-1/13) assuming r is positive. r**(69/52) Simplify (y**3)**(-36/7) assuming y is positive. y**(-108/7) Simplify (((b/(b*(b/(b*b/(b/b**(2/7))*b))/b))/b)**(-5/7))**(1/5) assuming b is positive. b**(-9/49) Simplify (k**(1/14))**20 assuming k is positive. k**(10/7) Simplify (a**1)**(-2/29)/(a**6/(a/(a**(2/13)*a*a))) assuming a is positive. a**(-2723/377) Simplify (((((y/(y/(y/(y/y**(-1/10)*y))))/y)/y)/y)/(y**5*y))/((y/(y/(y*y/y**(-5))))/y*y**(-3)) assuming y is positive. y**(-131/10) Simplify (z*z**(-2/3)*z*z**(1/10))**(2/91) assuming z is positive. z**(43/1365) Simplify ((k/(k*k*k/(k**(-6)*k*k)*k)*k)/k**5)/(k**1/k**(-3)) assuming k is positive. k**(-15) Simplify (w**(2/7)/w**(-7))**(-16) assuming w is positive. w**(-816/7) Simplify ((f**(-34)*f)/f)**(4/3) assuming f is positive. f**(-136/3) Simplify s**18*s*s*((s/(s/s**33))/s)/s assuming s is positive. s**51 Simplify (d/(d/(d*d**(2/11)/d*d*d*d))*d)/d**(-20) assuming d is positive. d**(266/11) Simplify ((t**(-1)/t)/t)**5/(t**2/t**(-1)) assuming t is positive. t**(-18) Simplify h**(-3/5)/(h/(h*(h/(h/(h/(h/(h/(h/(h/(h*h**45/h*h))))))))/h*h)*h) assuming h is positive. h**(-233/5) Simplify g**21/(g*g*g**(-15)) assuming g is positive. g**34 Simplify (t**0*t)**(-16)/(t**0)**(25/2) assuming t is positive. t**(-16) Simplify (z**3/(z*z**2))/(z**(-2/9))**(20/3) assuming z is positive. z**(40/27) Simplify (g/(g/g**5))**(-18) assuming g is positive. g**(-90) Simplify (j**(2/3)/j**(-2/29))**(2/79) assuming j is positive. j**(128/6873) Simplify (d*d*(d/d**1)/d*d)/(d/(d**(6/5)*d)*d)*(d**(1/6)/d)/d**(9/4) assuming d is positive. d**(-53/60) Simplify (f**(2/3)/f)/f**1 assuming f is positive. f**(-4/3) Simplify (u**18/u)/(u*u/(u*u**(1/13))) assuming u is positive. u**(209/13) Simplify s/s**(-29)*s/s**(-1/6)*s*s*s*s assuming s is positive. s**(211/6) Simplify ((((p**(-2)/p)/p)/p)**(6/11))**(2/65) assuming p is positive. p**(-12/143) Simplify (c*c**(1/2)/c)/c**(1/12)*(c/(c**1/c))**(1/5) assuming c is positive. c**(37/60) Simplify (z**6*z)/z**(5/2)*(z/(z*z**(-8))*z)/z**(2/9) assuming z is positive. z**(239/18) Simplify (o*o*o/o**16)/(o*o/(o/((o**(-18)/o)/o*o*o))*o*o*o) assuming o is positive. o Simplify ((y*((y/(y**(-10)*y))/y*y)/y)/(y**(-13)/y))**(1/10) assuming y is positive. y**(12/5) Simplify (w**(-1))**14/((w*w/(w/(w*w/(w/(w**(-5/3)/w)))))/((w/(((w**5/w)/w)/w))/w)) assuming w is positive. w**(-46/3) Simplify ((p/p**0)/p**(-2))/(p**(2/27)*(p*p**(-1/2)*p)/p) assuming p is positive. p**(131/54) Simplify ((c*(c/(c*c**(7/5)))/c)/((c*c*(c*c**(3/5)*c*c)/c)/c))**(-7) assuming c is positive. c**35 Simplify b**40/((b**34*b)/b) assuming b is positive. b**6 Simplify o/o**(-29)*o/(o/o**15) assuming o is positive. o**45 Simplify (a**(-1))**(4/3)*(a*a**(1/3)*a)**(-1/34) assuming a is positive. a**(-143/102) Simplify ((v**(1/2)*v)**(-42))**(-1/5) assuming v is positive. v**(63/5) Simplify (d*d**(-6))/d*d**(-6)*d assuming d is positive. d**(-11) Simplify j**(-7)*j**(-4/3)*j**(-1/6)*j/(j*j**(-1)) assuming j is positive. j**(-15/2) Simplify (((j*j/(j*j/j**(2/3)*j)*j)/j)**(-12/5))**(-19) assuming j is positive. j**(-76/5) Simplify k**(8/5)*k*k*k**(-1/8)*k assuming k is positive. k**(179/40) Simplify (g/(g*g**(-13)*g))/(g**(1/3)/g) assuming g is positive. g**(38/3) Simplify (((x**(-1/6)*x)/x)/x*x*x*x/(x/(x/(x/(x*(x/x**(2/23))/x))))*x*x)/(x**1/x)**15 assuming x is positive. x**(517/138) Simplify (c/(c*((c**(2/3)/c)/c)/c)*c)**(-1/29)*c**(-9)/(c*c*c**(-10)*c*c*c) assuming c is positive. c**(-358/87) Simplify (u/u**(2/7))**(-1/12)/(u/u**(2/3))**(-3/7) assuming u is positive. u**(1/12) Simplify (m**(-1/5)*(m*m**(-1))/m)**9 assuming m is positive. m**(-54/5) Simplify b*b/(b*b**45)*b*b**(-1/36) assuming b is positive. b**(-1549/36) Simplify t**(-1/3)/(t*t**(-2/107)/t*t) assuming t is positive. t**(-422/321) Simplify (q*q/((q*q**(-7))/q)*q)/(q/(q**(-2/15)*q))*q/q**(-3/7)*q*(q*q/((q/(q/(q/(q/(q/(((q*q**4)/q)/q)))))*q)/q))/q assuming q is positive. q**(1606/105) Simplify d**43/(d**26/d) assuming d is positive. d**18 Simplify ((r*(r/(r*r*r/r**(-1/5)*r*r))/r)/r*r)**(-44) assuming r is positive. r**(924/5) Simplify (b**11*b*b/(b*b**(-9/4)))**(-49) assuming b is positive. b**(-2793/4) Simplify (h**(5/2)*h**(2/15)/h)/(h/(h*h/(h*h**(-1/3)*h)))**(-36) assuming h is positive. h**(769/30) Simplify ((j/((j**(-1)/j)/j*j))/j**14)**(5/6) assuming j is positive. j**(-55/6) Simplify (k/(k/k**(2/5)*k))**(-30) assuming k is positive. k**18 Simplify ((p**(1/4))**(-5/2))**(2/103) assuming p is positive. p**(-5/412) Simplify (l**(-2/11)*l*l**(-4))/(l**(-5/3)*l**(3/4)*l) assuming l is positive. l**(-431/132) Simplify (f**(-2/3))**(6/13)*f*f**6*f**(-3) assuming f is positive. f**(48/13) Simplify ((q/(q**1*q*q*q))/(q**(1/13)/q))**(7/9) assuming q is positive. q**(-21/13) Simplify (s**(2/35))**(2/17) assuming s is positive. s**(4/595) Simplify (x*x**(-6/5)/x)**(-10) assuming x is positive. x**12 Simplify ((q*q**(-2))/q)/(q**8*q) assuming q is positive. q**(-11) Simplify z**(-2/7)*z**(2/3)/z*(z**(-2)/z)**49 assuming z is positive. z**(-3100/21) Simplify (x**(-1/2))**(1/5)*(x*x**(-2/11)/x)/x**(1/4) assuming x is positive. x**(-117/220) Simplify (n**1*n)**36/(n/(n*n*n/n**0))**35 assuming n is positive. n**142 Simplify (d*d**3*(d**(-4)*d*d)/d)/((d/d**(-1))/((d**8/d)/d)) assuming d is positive. d**5 Simplify ((k**(-3/4)*k)/k**14)**(-28) assuming k is positive. k**385 Simplify (q*q**(-3/11)/q)/((q/(q*q/q**(1/5)*q)*q)/q*q)*(q*q*q**1)/(q*q/q**2) assuming q is positive. q**(194/55) Simplify (r**(-10)*r**(2/19))**10 assuming r is positive. r**(-1880/19) Simplify (q/(q/q**(-4)*q))**(-19) assuming q is positive. q**95 Simplify (u/u**(4/9))/((u/(u*u*u**(-9)))/u) assuming u is positive. u**(-58/9) Simplify (r**(1/20))**(-2/23) assuming r is positive. r**(-1/230) Si
{ "pile_set_name": "DM Mathematics" }
169166. 2, 41, 2063 List the prime factors of 22. 2, 11 List the prime factors of 3566. 2, 1783 What are the prime factors of 1088? 2, 17 What are the prime factors of 181? 181 What are the prime factors of 9244? 2, 2311 What are the prime factors of 1204? 2, 7, 43 What are the prime factors of 1048? 2, 131 List the prime factors of 9430. 2, 5, 23, 41 List the prime factors of 271. 271 List the prime factors of 905. 5, 181 What are the prime factors of 2818? 2, 1409 What are the prime factors of 137055? 3, 5, 9137 What are the prime factors of 1539? 3, 19 List the prime factors of 44003. 79, 557 List the prime factors of 2514. 2, 3, 419 List the prime factors of 34970. 2, 5, 13, 269 List the prime factors of 13895. 5, 7, 397 What are the prime factors of 73891? 19, 3889 List the prime factors of 65548. 2, 7, 2341 What are the prime factors of 17387? 17387 What are the prime factors of 1272? 2, 3, 53 What are the prime factors of 83548? 2, 20887 List the prime factors of 600. 2, 3, 5 List the prime factors of 1478. 2, 739 What are the prime factors of 88? 2, 11 What are the prime factors of 2823? 3, 941 List the prime factors of 14352. 2, 3, 13, 23 List the prime factors of 7115. 5, 1423 What are the prime factors of 72209? 163, 443 List the prime factors of 72600. 2, 3, 5, 11 What are the prime factors of 25733? 25733 List the prime factors of 28778. 2, 14389 What are the prime factors of 7463? 17, 439 What are the prime factors of 3728? 2, 233 What are the prime factors of 35486? 2, 11, 1613 What are the prime factors of 1996? 2, 499 List the prime factors of 5691. 3, 7, 271 List the prime factors of 8034. 2, 3, 13, 103 What are the prime factors of 55014? 2, 3, 53, 173 List the prime factors of 108690. 2, 3, 5, 3623 What are the prime factors of 1165? 5, 233 What are the prime factors of 32791? 11, 271 What are the prime factors of 1436? 2, 359 List the prime factors of 2349. 3, 29 What are the prime factors of 991? 991 List the prime factors of 351. 3, 13 List the prime factors of 10348. 2, 13, 199 What are the prime factors of 1323? 3, 7 What are the prime factors of 8614? 2, 59, 73 List the prime factors of 2213. 2213 List the prime factors of 153463. 19, 41, 197 List the prime factors of 16844. 2, 4211 What are the prime factors of 19757? 23, 859 List the prime factors of 38928. 2, 3, 811 List the prime factors of 221. 13, 17 List the prime factors of 1091. 1091 What are the prime factors of 5517? 3, 613 What are the prime factors of 36991? 71, 521 List the prime factors of 16463. 101, 163 List the prime factors of 221. 13, 17 What are the prime factors of 3264? 2, 3, 17 What are the prime factors of 412? 2, 103 List the prime factors of 3217. 3217 What are the prime factors of 177? 3, 59 What are the prime factors of 1773? 3, 197 List the prime factors of 1077. 3, 359 What are the prime factors of 20938? 2, 19, 29 List the prime factors of 1662. 2, 3, 277 List the prime factors of 66488. 2, 8311 List the prime factors of 14643. 3, 1627 What are the prime factors of 4197? 3, 1399 What are the prime factors of 231? 3, 7, 11 List the prime factors of 6430. 2, 5, 643 List the prime factors of 398. 2, 199 List the prime factors of 317. 317 What are the prime factors of 4211? 4211 List the prime factors of 11179. 7, 1597 List the prime factors of 54701. 19, 2879 List the prime factors of 307. 307 What are the prime factors of 1124? 2, 281 List the prime factors of 13604. 2, 19, 179 List the prime factors of 1230. 2, 3, 5, 41 What are the prime factors of 15702? 2, 3, 2617 What are the prime factors of 6046? 2, 3023 What are the prime factors of 26192? 2, 1637 List the prime factors of 726. 2, 3, 11 List the prime factors of 84565. 5, 13, 1301 List the prime factors of 21394. 2, 19, 563 List the prime factors of 544. 2, 17 List the prime factors of 55194. 2, 3, 9199 What are the prime factors of 15627? 3, 5209 List the prime factors of 563. 563 List the prime factors of 2856. 2, 3, 7, 17 List the prime factors of 3937. 31, 127 List the prime factors of 18953. 11, 1723 What are the prime factors of 52204? 2, 31, 421 List the prime factors of 1035. 3, 5, 23 List the prime factors of 120799. 7, 17257 What are the prime factors of 23120? 2, 5, 17 List the prime factors of 858. 2, 3, 11, 13 List the prime factors of 3197. 23, 139 What are the prime factors of 25686? 2, 3, 1427 What are the prime factors of 144816? 2, 3, 7, 431 List the prime factors of 31824. 2, 3, 13, 17 List the prime factors of 619. 619 List the prime factors of 22213. 97, 229 List the prime factors of 110. 2, 5, 11 What are the prime factors of 898? 2, 449 List the prime factors of 143858. 2, 11, 13, 503 List the prime factors of 1270. 2, 5, 127 List the prime factors of 364. 2, 7, 13 What are the prime factors of 6296? 2, 787 What are the prime factors of 83814? 2, 3, 61, 229 What are the prime factors of 432? 2, 3 What are the prime factors of 913? 11, 83 List the prime factors of 2147. 19, 113 What are the prime factors of 24752? 2, 7, 13, 17 List the prime factors of 4259. 4259 List the prime factors of 97589. 23, 4243 List the prime factors of 1201. 1201 List the prime factors of 410. 2, 5, 41 What are the prime factors of 511? 7, 73 What are the prime factors of 84422? 2, 13, 17, 191 List the prime factors of 47355. 3, 5, 7, 11, 41 List the prime factors of 38312. 2, 4789 What are the prime factors of 4200? 2, 3, 5, 7 What are the prime factors of 14776? 2, 1847 What are the prime factors of 3827? 43, 89 What are the prime factors of 1726? 2, 863 List the prime factors of 1426. 2, 23, 31 What are the prime factors of 40069? 17, 2357 List the prime factors of 57351. 3, 7, 2731 List the prime factors of 2440. 2, 5, 61 What are the prime factors of 174557? 173, 1009 What are the prime factors of 1061? 1061 List the prime factors of 10351. 11, 941 What are the prime factors of 2114? 2, 7, 151 What are the prime factors of 56801? 79, 719 List the prime factors of 26037. 3, 11, 263 List the prime factors of 3117. 3, 1039 What are the prime factors of 635? 5, 127 What are the prime factors of 2366? 2, 7, 13 List the prime factors of 17747. 17747 What are the prime factors of 5084? 2, 31, 41 List the prime factors of 17462. 2, 8731 List the prime factors of 380. 2, 5, 19 List the prime factors of 634. 2, 317 List the prime factors of 11620. 2, 5, 7, 83 What are the prime factors of 285? 3, 5, 19 List the prime factors of 58926. 2, 3, 7, 23, 61 List the prime factors of 7929. 3, 881 What are the prime factors of 1457? 31, 47 What are the prime factors of 3148? 2, 787 What are the prime factors of 5786? 2, 11, 263 List the prime factors of 933. 3, 311 List the prime factors of 123. 3, 41 List the prime factors of 1311. 3, 19, 23 What are the prime factors of 25916? 2, 11, 19, 31 What are the prime factors of 2856? 2, 3, 7, 17 List the prime factors of 4357. 4357 What are the prime factors of 785? 5, 157 What are the prime factors of 702? 2, 3, 13 List the prime factors of 99094. 2, 49547 What are the prime factors of 182? 2, 7, 13 What are the prime factors of 6491? 6491 List the prime factors of 10. 2, 5 What are the prime factors of 2147? 19, 113 What are the prime factors of 1856? 2, 29 What are the prime factors of 34451? 47, 733 What are the prime factors of 342? 2, 3, 19 What are the prime factors of 1345? 5, 269 What are the prime factors of 3080? 2, 5, 7, 11 List the prime factors of 18297. 3, 19, 107 What are the prime factors of 1490? 2, 5, 149 List the prime factors of 43509. 3, 14503 What are the prime factors of 669? 3, 223 What are the prime factors of 874? 2, 19, 23 What are the prime factors of 22333? 23, 971 List the prime factors of 7534. 2, 3767 List the prime factors of 338. 2, 13 What are the prime factors of 1168? 2, 73 What are the prime factors of 11086? 2, 23, 241 List the prime factors of 6809. 11, 619 List the prime factors of 613. 613 List the prime factors of 5290. 2, 5, 23 List the prime factors of 1222. 2, 13, 47 What are the prime factors of 44191? 7, 59, 107 List the prime factors of 32761. 181 What are the prime factors of 13864? 2, 1733 What are the prime factors of 4658? 2, 17, 137 List the prime factors of 36430. 2, 5, 3643 What are the pri
{ "pile_set_name": "DM Mathematics" }
105908303. 105908300.1 What is 1 + -577247? -577246 5325961.1+-0.27 5325960.83 Add -5.9291757 and -20.7. -26.6291757 What is -124511 plus 3317? -121194 What is 113 take away -1943603? 1943716 What is 18339 + -0.595327? 18338.404673 What is the difference between 117 and 7671678.9? 7671561.9 0.4 - -3840784844 3840784844.4 Add together 0.5 and 411055841. 411055841.5 Total of -166269 and -2.1. -166271.1 What is -100.14 plus 0.32966? -99.81034 Work out -269644.443 + 19. -269625.443 -0.026840979392+-0.2 -0.226840979392 Work out -0.3 - -285045. 285044.7 0.090593936+-4 -3.909406064 What is 0.2 less than -20404875? -20404875.2 What is -0.02 take away 210840.92? -210840.94 -0.8182+9965.09 9964.2718 Calculate -0.2 + -435.96302. -436.16302 5618 - 599.3 5018.7 Calculate 0.28460139172 - 0.1. 0.18460139172 Put together -467.004581 and 3.8. -463.204581 Add together -242 and 8.436345. -233.563655 What is the distance between -3539777032 and -2? 3539777030 Calculate 55554 - -24039. 79593 What is -0.088 + 291807? 291806.912 1143.77 - -225 1368.77 Sum 6105386 and 64. 6105450 Calculate -106 + 0.004766008. -105.995233992 What is -12576 less than 0.3767? 12576.3767 What is -97967 - -0.1? -97966.9 What is the difference between 27191 and 0.102? 27190.898 Sum -391896627 and -0.2. -391896627.2 What is the distance between -0.8155 and 0.099065? 0.914565 What is -0.4 take away 5430225? -5430225.4 -8.88485 + 15.4 6.51515 What is -0.665861 + 1.618? 0.952139 Add together -0.2 and 36151728. 36151727.8 Add -49144826 and 0.5. -49144825.5 What is the difference between -1594639 and 5? 1594644 What is -109005374 take away 0.03? -109005374.03 What is -0.3 + 0.9967423? 0.6967423 What is the difference between -90 and -10061091? 10061001 -15623.13 + -0.04418 -15623.17418 What is 0.1434 less than -5267? -5267.1434 -8.07 + -23360 -23368.07 Total of -10.6616685 and -7.2. -17.8616685 Work out -57228715 - -3.68. -57228711.32 What is the difference between 59 and 236324? 236265 What is 0 less than 492537644? 492537644 -4600251.7 - 48 -4600299.7 Sum 69209.938961 and 0.2. 69210.138961 Sum -1.1 and -1.500525. -2.600525 Subtract 220863 from 992.6. -219870.4 Add 3.01 and -5.1617. -2.1517 What is 188203557 - -0.2? 188203557.2 256 - -0.063936712 256.063936712 Calculate -0.08 + -4.021079454. -4.101079454 Add 0.0033900019 and -0.56. -0.5566099981 Calculate 4.57 + -1126274. -1126269.43 What is 18 take away 7.4288? 10.5712 Add together -609513565 and 73. -609513492 Sum -299 and 4022657. 4022358 Add together 1 and -27544129823. -27544129822 Calculate -724511972 - -0.5. -724511971.5 Add together 328571978 and 88. 328572066 -1.2 + -0.086354601 -1.286354601 Work out -188 - 0.0809353. -188.0809353 What is 0.2 - 2370035402? -2370035401.8 Subtract -6847313 from -32. 6847281 Work out -57950.137 - -0.02. -57950.117 What is 47118 + -2004? 45114 What is -17 take away 64418.41? -64435.41 Subtract 122.61431 from -9. -131.61431 What is -5310628 - -1440? -5309188 -1.15621 + -2.96 -4.11621 What is -4650.2 minus 1.00667? -4651.20667 Work out 18368688 + 12. 18368700 What is 36 plus -29487329.6? -29487293.6 What is -1013241.33 take away 10? -1013251.33 What is -3412.7558 take away 2? -3414.7558 99.1 + 16831.93 16931.03 Subtract 0.2 from -34544.92. -34545.12 -57029 - 3005 -60034 What is the distance between -2.034495414 and 0.12? 2.154495414 What is the difference between 1662.978 and 0.7402? 1662.2378 Sum -0.1904 and -4079. -4079.1904 Subtract 11.4000675 from -20.8. -32.2000675 What is 520 take away -252? 772 What is -0.4 minus 25214182? -25214182.4 Work out 750 - -731543. 732293 Subtract 0.070373745 from -22. -22.070373745 Put together 178 and 714322. 714500 What is -1338814 + -2.2199? -1338816.2199 What is 749981420 - -15? 749981435 Total of 2 and -17207333.8. -17207331.8 Add together 10339 and 677. 11016 Calculate -3.18075 - 6.03. -9.21075 Put together 5290984748 and 2. 5290984750 Calculate 2946539 - -5. 2946544 Sum 63876 and -9.4. 63866.6 What is 0.01725 take away -922016? 922016.01725 -13288 + 3.3036 -13284.6964 Add -3663.91 and 0.231. -3663.679 Calculate -422.21 - 815. -1237.21 Work out -0.311 - 0.5601. -0.8711 Work out 0.3 + 434248030. 434248030.3 Calculate -2625130804 + 0.28. -2625130803.72 What is 52216 less than -740073? -792289 What is 0.0011794 + -0.26? -0.2588206 What is the difference between 37994 and -1332? 39326 Work out -155589107 - 2.2. -155589109.2 What is -0.27 minus 257953936? -257953936.27 What is -36.76 minus 0.146149? -36.906149 Work out -1145426.4 - -2.3. -1145424.1 What is -482254 - 1630? -483884 What is 12676 + 62.73? 12738.73 Calculate 219186 + -477. 218709 What is -0.102195 - -105.8? 105.697805 Add together 0.6226899 and -0.9. -0.2773101 Subtract -52368 from -0.07. 52367.93 What is -0.45849 + 2? 1.54151 Calculate -0.025 - 4796816.44. -4796816.465 Work out -0.4 + 9761678. 9761677.6 What is 0.07954 + -0.021387? 0.058153 Calculate -5.5966 + -11631. -11636.5966 What is 2 take away -890.004? 892.004 Calculate 257.827 - -164.8. 422.627 What is 5 less than -63045878? -63045883 1268+16126 17394 0.7 + 0.14587366 0.84587366 What is -1.362 take away -0.1862? -1.1758 What is -108046746 plus -3? -108046749 What is -364.474 - 229? -593.474 What is -26283284 less than 195? 26283479 Calculate -80 - -0.17621718. -79.82378282 What is the difference between -24.386017 and 6? 30.386017 Subtract -336.8294 from -4. 332.8294 Work out 26.898189 - 0.2. 26.698189 Calculate -0.0188670122 + -0.1. -0.1188670122 Total of -14075772 and -0.88. -14075772.88 Add -5.6341089 and -31. -36.6341089 -457614 + -5156 -462770 Subtract 329344822 from 5. -329344817 Add -1 and 2.68026526. 1.68026526 -123 - -1.782 -121.218 Calculate -2 - 128819746. -128819748 -29860468.147 - -4 -29860464.147 2 - 979480 -979478 What is 0.07 take away -1978828428? 1978828428.07 Calculate -0.02 - -20749648. 20749647.98 What is the distance between -901 and -66199.9? 65298.9 What is -2 - -25507706.24? 25507704.24 What is 4 - -2790023172? 2790023176 2496657 - -16 2496673 Sum -25412 and 5.9908. -25406.0092 Subtract 659783 from 110. -659673 Put together -4646685 and -1.97. -4646686.97 What is 980 less than 839? -141 Work out 8459676 - 5. 8459671 What is -173 - -106.532? -66.468 What is 16782 - 0.041487? 16781.958513 What is -639495.4 plus -5665? -645160.4 Add -4.8293318 and -653. -657.8293318 -0.12+799644 799643.88 What is the difference between -0.2 and 53837725352? 53837725352.2 Calculate -139.53 + -3680284. -3680423.53 Total of -4131055 and 2368. -4128687 Work out 10.430157172 + -0.4. 10.030157172 What is 167.743 less than -0.002595? -167.745595 What is 4 plus 972152127.1? 972152131.1 -7774133 + -0.04355 -7774133.04355 What is -318122797 - -0.01? -318122796.99 Work out -88688544 - 6. -88688550 Add -23409831 and -6.2. -23409837.2 What is -0.38 - 18808? -18808.38 What is the difference between -30.2 and 0.079? 30.279 What is 1.33501 - 2.19? -0.85499 Add -58596.472 and -972. -59568.472 Work out -2.527875 + -4888. -4890.527875 Calculate -1 - 177.567206. -178.567206 1879372+0.35 1879372.35 0.228+-1833115.4 -1833115.172 Add -4.38983 and -83135. -83139.38983 Work out 31.8389 + 19.76. 51.5989 What is 284493 - -4.891? 284497.891 388+-1341919 -1341531 What is 6 minus 916737? -916731 Calculate 0.02621323 - -7822. 7822.02621323 Calculate 1622.54 - 111.797. 1510.743 Calculate -4 - -229767325. 229767321 What is -23378989393 - -0.2? -23378989392.8 Subtract 1 from 1133552.4. 1133551.4 Add together 0.61 and 622982. 622982.61 14.55438 + 507 521.55438 -211390.37 - -12.4 -211377.97 What is 4.6 minus 0.036066787? 4.563933213 Add together -559314.1 and 0.08. -559314.02 What is the difference between -154587028 and -0.123? 154587027.877 Work out 3267 + -7.21. 3259.79 Work out -0.25 - 2489381229. -2489381229.25 -771974+-3079 -775053 What is -0.2630977893 take away -0.01? -0.2530977893 Total of -5 and -591622.31. -591627.31 What is -2671.5089 minus -0.07? -2671.4389 What is 3096.5994 less than -48? -3144.5994 Calculate -0.05 + 4.367009. 4.317009 -0.024525 - -26167 26166.975475 Put together 0 and 5149482. 5149482 Total of 0.3 and 0.2077713573. 0.5077713573 Put together 600.11 and 0.8708. 600.9808 What is 7010480.6 less than 0.3? -7010480.3 Add 348 and -2647.13. -2299.13 0.0
{ "pile_set_name": "DM Mathematics" }
9185? -0.469185 -1 times 0.0756154 -0.0756154 What is the product of -361784 and 4? -1447136 What is the product of -202 and -1997.1? 403414.2 0.06*-0.03521 -0.0021126 What is -4.321 times 0.041? -0.177161 20*1.462 29.24 What is the product of -23.01 and -28? 644.28 -4*225844 -903376 What is the product of 70133 and -0.03? -2103.99 -0.3 * 161.4 -48.42 Product of 7458 and 39. 290862 What is the product of -0.5 and -13161.6? 6580.8 What is the product of -0.573 and -4455? 2552.715 What is the product of -9.3 and -0.0289? 0.26877 What is -13 times 11609? -150917 62507 times -0.3 -18752.1 -50309 * -0.09 4527.81 What is the product of 0.3 and 44969? 13490.7 Product of -35 and 43809. -1533315 Work out 139 * -1404.2. -195183.8 What is the product of -108395 and -0.4? 43358 What is the product of -0.02 and 69619? -1392.38 Work out 0.1 * 13672. 1367.2 What is 30552 times 0.07? 2138.64 Product of 971 and 27. 26217 Product of -0.01178 and 9. -0.10602 537.13*-3 -1611.39 71436*1 71436 Calculate 83071*-0.29. -24090.59 What is the product of 256 and -98.8? -25292.8 Product of -587 and 114. -66918 What is the product of -63 and 0.948? -59.724 41 * -1310.2 -53718.2 -0.3 times -12154 3646.2 -3.05 * -0.9 2.745 0.029*25 0.725 -141.451 * 0.24 -33.94824 -0.1*125362 -12536.2 What is the product of -0.0253446 and 2? -0.0506892 Multiply 3914 and -0.3. -1174.2 What is the product of 0.2 and 162486? 32497.2 Multiply 120 and -109.2. -13104 What is the product of 140 and -0.2667? -37.338 Multiply 1.2 and -7254. -8704.8 2.7 * -5.24 -14.148 Work out 0.0539 * 0.1034. 0.00557326 Work out -842 * 0.366. -308.172 What is 521 times -505? -263105 Multiply 0.14 and 2.738. 0.38332 Work out -288 * 0.10559. -30.40992 What is -0.4 times -743.21? 297.284 What is the product of -14 and 0.044424? -0.621936 -5*14843 -74215 -4 * 8.681 -34.724 Product of 13963.2 and -1. -13963.2 Multiply 7 and 0.379921. 2.659447 Multiply -0.2542 and 84. -21.3528 -11.677*-1 11.677 What is 202926 times -14? -2840964 4 * 3.31283 13.25132 Product of 1145 and 132. 151140 Calculate 116*-129.5. -15022 -2 * 18995.1 -37990.2 Work out -0.059 * -5514. 325.326 38541 times 18 693738 -26.057 * -9.4 244.9358 Work out 0.03534 * 17. 0.60078 What is 0.2808 times -1165? -327.132 What is the product of -0.8 and 15.499? -12.3992 -0.3 * -338.54 101.562 What is the product of -1586893 and 0.3? -476067.9 -7184 * -0.3 2155.2 871857 times 8 6974856 What is the product of -413 and -0.01? 4.13 Product of 0.3 and 6153.7. 1846.11 Multiply -3 and -25.2514. 75.7542 Calculate 194745*-0.1. -19474.5 8*17752 142016 What is the product of 0.119 and 4.255? 0.506345 Work out -0.03 * 148.568. -4.45704 0.025566 * 0.02 0.00051132 Multiply 6.8158 and 0.3. 2.04474 What is the product of 0 and 16.834? 0 What is 679085 times 0.04? 27163.4 Work out -0.05 * -5204. 260.2 Multiply -0.6 and 680.2. -408.12 What is -8505 times 5.6? -47628 What is -825.7 times -7.4? 6110.18 What is the product of -29 and -3025? 87725 Calculate -5*230.8. -1154 Product of -9899 and -1.2. 11878.8 -1191 times 136 -161976 -3293*0.2 -658.6 Product of -74273 and 2. -148546 4435 * -1.3 -5765.5 Work out 0.03 * -16819. -504.57 What is 1.80183 times 37? 66.66771 Calculate -51*3338. -170238 Calculate -17627*-1.2. 21152.4 Calculate 453268*0. 0 0.016 times 45443 727.088 Product of 0.4199 and -29. -12.1771 0.040214*0.2 0.0080428 Work out 0.6096 * -129. -78.6384 50655 times 8 405240 Work out -0.3 * 441093. -132327.9 What is the product of -0.7 and 11391? -7973.7 -7.755 * 0.5 -3.8775 0.02 times 0.1776 0.003552 Calculate 133.3047*0.1. 13.33047 Multiply 3096996 and 3. 9290988 255578*0.3 76673.4 Multiply -1239 and 4. -4956 What is 26.226 times 145? 3802.77 Calculate -467*-0.0279. 13.0293 0.2 * 12517 2503.4 What is -75252 times 0.25? -18813 10.5 times -358 -3759 -91064 times 6 -546384 6.8 * 0.017232 0.1171776 Multiply 0.5 and 766. 383 5*24725 123625 What is the product of 0.26 and 0.1044? 0.027144 Product of 12075 and -28. -338100 What is 0.1439 times -0.023? -0.0033097 Work out -3 * -0.880529. 2.641587 What is 51.6 times -0.57? -29.412 What is the product of 115.451 and 2? 230.902 Product of 0 and -0.71887. 0 Multiply -1.83128 and -0.4. 0.732512 Multiply -359 and 2669. -958171 Calculate 0*977. 0 49 times 75988 3723412 Calculate -0.044*0.0199. -0.0008756 What is the product of -90443 and -6? 542658 Work out 1573 * -527. -828971 -116*2933 -340228 -2050.8 times 3 -6152.4 Product of -0.3 and -306. 91.8 What is the product of 7789 and 0.08? 623.12 0.92 times 35 32.2 Calculate 2*25.98. 51.96 Calculate 481*-10.97. -5276.57 Product of 0.1 and -1.95526. -0.195526 Multiply -716 and 855. -612180 Product of 5.74 and -816. -4683.84 What is 39.2 times 0.09? 3.528 What is -0.4 times 84.34? -33.736 Product of 35 and 141.1. 4938.5 Calculate 1334*-79. -105386 What is the product of -5625 and 19? -106875 What is -56355 times -0.6? 33813 Work out -4671 * -0.05. 233.55 Calculate -12.54*-140. 1755.6 What is the product of 11003 and -4? -44012 0.3 times 4092 1227.6 0.3 * -109.87 -32.961 -0.04 * -45260 1810.4 Work out 0.907 * -197. -178.679 What is 0.114 times -0.458? -0.052212 What is 0.18 times 0.37? 0.0666 What is -3 times -2069? 6207 Multiply 0.5 and 44079. 22039.5 Work out 4 * 0.095144. 0.380576 What is 0.4 times 51628? 20651.2 Work out 4 * 9698.3. 38793.2 2.41368 times 0.5 1.20684 What is the product of -27987 and 5? -139935 What is 0.720444 times -2? -1.440888 1748*-69 -120612 4735 * -0.8 -3788 -1602 times -1430 2290860 1512 times 0.4 604.8 0.2*1082724 216544.8 Work out -0.9 * -6016.1. 5414.49 What is the product of -0.066 and -4.702? 0.310332 Multiply -3 and 6163. -18489 What is the product of 0.261573 and -7? -1.831011 Product of 3 and 1746829. 5240487 Multiply 0.2 and -0.4917. -0.09834 0.1804*349 62.9596 Multiply -0.0503827 and 0.3. -0.01511481 Multiply 0.08308 and -19. -1.57852 What is the product of 1369610 and -5? -6848050 Calculate -6*0.705. -4.23 0.339*-8 -2.712 0.09*-51188 -4606.92 Multiply 134676 and 0.5. 67338 50 times -0.7167 -35.835 Work out 3866 * -0.36. -1391.76 What is 3564 times 1160? 4134240 -0.1361 * -0.54 0.073494 -2910 * 151 -439410 Product of -17 and -131. 2227 Multiply 5 and -4181.03. -20905.15 What is the product of 12.2 and 7.549? 92.0978 Product of 0 and 2.8778. 0 Product of 550927 and 0.7. 385648.9 84 times 0.8384 70.4256 Work out 0.12 * 3227. 387.24 -5 times 17523 -87615 0.31 * 16617 5151.27 -23*-0.2984 6.8632 What is the product of 444 and 53? 23532 What is -307475 times -3? 922425 Multiply -274539 and 0. 0 -0.0066 times -3 0.0198 Product of 10.4 and -3172. -32988.8 Work out -273 * 0.194. -52.962 What is -696 times -0.7? 487.2 Multiply -1 and -10348. 10348 Calculate -106942*-0.01. 1069.42 -78.1*-8.2 640.42 Multiply -0.0371 and 0.0554. -0.00205534 Product of 38 and 15643. 594434 What is -2853 times 205? -584865 247164*-0.2 -49432.8 What is 425 times 558? 237150 0.53 * -1036 -549.08 -65 times 421.8 -27417 What is the product of -0.25 and -10.716? 2.679 -11.3 * -1683 19017.9 -3028.2*0.2 -605.64 Calculate -145*-921. 133545 Multiply 0.4 and 206. 82.4 Multiply 100 and 77. 7700 Product of -171428 and 4. -685712 Product of -137117 and 0.3. -41135.1 Calculate 1336811*-1. -1336811 Multiply 0.155 and 1809. 280.395 -2128 times 0 0 Multiply 2745 and -104. -285480 What is 0.4 times 22.5285? 9.0114 3805 * 1.9 7229.5 87298 times 0.1 8729.8 397 * 49 19453 0.5 * -4795 -2397.5 What is -0.4 times 0.753? -0.3012 Product of 42204 and -0.2. -8440.8 What is the product of 18 and -8531? -153558 -0.6 * 621.97 -373.182 -19 * -4.8 91.2 Multiply 0.037 and 2754. 101.898 What is 11.19122 times 0.3? 3.357366 Calculate 3.3*3626.7. 11968.11 43.5 * -1 -43.5 -3.8 times 142.7 -542.26 93301*-21 -1959321 What is the product of -2751 and 0.3? -825.3 Calculate 1*190953. 190953 -712*-0.11 78.32 Multiply -332674 and -3. 998022 0.0329*51 1.6779 0.1 times -18.03 -1.803 Product of -336 and -20. 6720 -19201*52 -998452 What is 0.11 times -3828? -421.08 Multiply -32.6725 and 4. -130.69 What is the product of -4.546 and -31? 140.926 110*30 3300 Multiply 311438 and -0.9. -280294.2 Product of 0.7 and 138966. 97276.2 Multiply 14.4 and 580. 8352 What is the product of -187 and 5657? -1057859 82 times -23.73 -1945.86 What is -171.2873
{ "pile_set_name": "DM Mathematics" }
8.7 + f. What is the fourth biggest value in t, 3, -1/2, 4? -1/2 Let j = -40.918 - 0.082. Let w = 42.1 + j. What is the second biggest value in -0.2, w, -0.3? -0.2 Let t = 27.16 - 25.003. Let v = 0.157 - t. Which is the smallest value? (a) -97 (b) -4 (c) v a Let s be (-1095)/60 + 144/(-7 - -15). Let f be -4*1/3 + 1. What is the second biggest value in f, s, -3/29? s Let t(d) = d - 12. Let q be t(9). Let o = 183 + -202.6. Let i = o + 20. What is the second smallest value in q, i, -1/9, 0.2? -1/9 Let g = -1784 + 1783.8. What is the fourth biggest value in g, 11, 0.3, -2, 1/6? g Let o = 12137/6 - 2030. Let q = 743/102 + o. What is the biggest value in -3, 2/7, q? 2/7 Let t = -22567/4 + 11343/2. Which is the fourth smallest value? (a) -2/3 (b) t (c) -5/3 (d) -2 b Suppose -27*i - 36*i = -59*i + 12. Which is the smallest value? (a) 23.6 (b) i (c) 0 (d) -5 d Suppose 0 = 5*h + i + 21, -4*h + 51*i = 53*i + 12. Which is the third biggest value? (a) -0.4 (b) h (c) -1/2 (d) 1/15 c Suppose -3*u = 8*u + 6*u - 13*u. Suppose -g + 5*w = -18, 2*w - w - 135 = -4*g. Which is the third biggest value? (a) g (b) -4 (c) u b Let l = -898.739 - -901. Let s = -2.3 + l. Let z = 6.039 + s. Which is the biggest value? (a) -1/9 (b) z (c) 5 b Let g = -193 - -135. Let m = -30 - g. Let s be 2/(-7) + 92/m. Which is the second smallest value? (a) 0.21 (b) s (c) 2/11 a Let x = 190 - 183.2. Let g = 6.7 + -13. Let j = x + g. Which is the biggest value? (a) 3 (b) j (c) -0.1 a Let t = 1614/7 + -230. Suppose -17903*u = -17782*u - 726. What is the biggest value in u, t, 3? u Let n = 19.9 + -19.8. Let g = -304.87 + 299. Let h = 6 + g. What is the third smallest value in h, n, 0.3? 0.3 Let x = 0.3249 - 0.7249. Let q = 0.2 - 1. Which is the second biggest value? (a) x (b) 1 (c) q (d) 0.2 d Let t = -300 - -208. Let u = 97 + t. Which is the fourth smallest value? (a) -1 (b) -0.1 (c) -1/21 (d) u d Let g = 4 - 0. Let k be ((-24)/(-5))/(11/385*-1). Let i = 167 + k. Which is the fourth biggest value? (a) i (b) g (c) 2/27 (d) -3 d Let v be -9 - -5 - (-16)/2. Suppose -3*u - 2*r + 14 = 0, -2*u + 3*r - r = v. Which is the second biggest value? (a) -52 (b) -1 (c) u b Let r be 3/7 + (-2 - -1). Let f = -13.689 - -13.1059. Let k = 0.0831 + f. Which is the third smallest value? (a) 0.2 (b) r (c) 1/7 (d) k c Let f be (-22)/10 - (-26)/91*7. What is the third smallest value in 3, -99, f? 3 Let j be 5 + -5 + -3 + 7 - (2 + 2). What is the third biggest value in -2/1995, 2, j? -2/1995 Let z = -66.23 - -66. Which is the smallest value? (a) 18 (b) 0.3 (c) z (d) -4/3 d Let h = 9769/81 + -9715/81. Suppose -5*k + y + y - 56 = 0, -4*k - 2*y - 52 = 0. What is the smallest value in 5, -10, k, h? k Let v be (4/(-3))/(-2 + -4). Let n = -3315 - -3327. Which is the smallest value? (a) -4 (b) 0.5 (c) n (d) v a Let z = -57.6 - -59. Let l = 0.95 - z. Let v = l - 2.55. Which is the smallest value? (a) v (b) -0.1 (c) 8 a Let r = -5256.4 + 5256. Which is the fifth smallest value? (a) -0.5 (b) r (c) -0.9 (d) 0.05 (e) 3/5 e Let o = -1.08 - 11.92. Let u = o - -13. What is the second biggest value in u, 2/5, 1/3? 1/3 Let n = 96/5 - 20. Let v = 7.41 - 6.91. What is the biggest value in n, -1/2, v? v Let m = 143.2 + -143.3. Let o = -80 + 120. Let n be 0 - ((-135)/o + 3). What is the third biggest value in 7, n, -1/5, m? m Let i = 7697 + -7693. What is the third biggest value in -2/17, i, 1/5, -0.1? -0.1 Let q be (27/45)/(2/(-10)). Let s = 4.2 + 0.8. Which is the smallest value? (a) s (b) -0.9 (c) q c Let u be (1*2)/(14 + -18). Let z = -19 + 42. Let a = -0.171 - -0.071. What is the smallest value in a, 1, z, u? u Let k be (-78)/8 - 87/(-116). Let a be k + 7 - 5*1/(-2). What is the fourth smallest value in 1, 4/13, a, -0.2? 1 Let w = 120.4 - 115.4. What is the third smallest value in 2, -0.7, 3, 5/3, w? 2 Let y be 1/4*-15 - ((-650)/(-25) + -30). Which is the second smallest value? (a) 3 (b) y (c) -30 (d) 0.2 (e) -2/3 e Suppose -8 - 27 = 5*j. Let g be 2 + j + 15870/3216. Let q = g + -4/67. Which is the biggest value? (a) 11 (b) q (c) 2 a Let u be 6/16 + (-39)/104. Suppose u = 524*z - 522*z + 112. Which is the second smallest value? (a) -1 (b) 0 (c) z a Let r = -7709 + 7713. Which is the second biggest value? (a) -0.1 (b) 102 (c) -0.2 (d) r d Let x = 1906 + -1910. Which is the second smallest value? (a) -5 (b) x (c) 0.111 b Let r = -26631 - -26630.92. What is the smallest value in -0.1, -1, 2, r, 0.062? -1 Let o = 3534214/325941 - -3/108647. Let x = o + -32/3. What is the smallest value in x, -0.4, -0.05? -0.4 Let n = 4937 + -4940. Which is the second biggest value? (a) -4 (b) -5 (c) n (d) -2/263 c Let q be (-850)/(-14) + 3 + (-95)/35. Suppose 58 = 3*r + q. Let d = -159 + 162. What is the fourth smallest value in r, -1/3, d, 5? 5 Let y = 5 + -4.94. Let o = y - -2.94. Suppose 3*t = 5*n + 14, 2*t + 119*n - 117*n = -12. Which is the third smallest value? (a) 5 (b) o (c) t a Let z = 441.5 - 441. Which is the fourth biggest value? (a) 81 (b) 18 (c) z (d) 2 c Let x = -63 + 63.2. Let m = 0.32 - 0.02. Let j = -3.3 + m. Which is the smallest value? (a) j (b) x (c) 5 a Let f = -905 + 904.9. Which is the biggest value? (a) 3/7 (b) -6 (c) f a Let i = 95.38467 + 1.66023. Let n = -0.0449 + i. Which is the third smallest value? (a) -3 (b) n (c) 4 b Let y be (1 - 1/(-2))*2. Suppose 5 = -3*q - y*w + 2*w, -4*w = 5*q - 1. Let d = 355/4 + -89. Which is the second biggest value? (a) 19 (b) d (c) q b Let w be (-14)/105 - (-73)/(-15). Let i = -4 - w. Let g = 41/10 - 9/2. What is the third biggest value in -4/5, i, g? -4/5 Let p be ((-5 + 4)*-1)/4. Which is the smallest value? (a) p (b) -0.1 (c) 0.03 b Let n = 17384/77 + -1371037/6083. Let m = -4/79 - n. Suppose 9*p + 10 = 28. Which is the second biggest value? (a) p (b) -2 (c) m c Let n be (-72)/60*(-40)/(-18). Let o = 4/3 + n. Let m = -513 + 518. Which is the fourth biggest value? (a) -2/5 (b) -0.1 (c) m (d) o d Let f = -0.04 - 1.96. Let w(s) = 7*s**2 + 438*s + 2321. Let l be w(-6). Which is the third smallest value? (a) 4 (b) f (c) l (d) -1/5 d Let l be -15 + (-764)/(-108) - 112/(-14). Let j = -4.7 - -5. Which is the fourth biggest value? (a) j (b) l (c) 4 (d) 0.1 b Let m = 0.766 - 1.166. Suppose -18 = 4*u - 46. Let z = u - 2. Which is the fourth smallest value? (a) m (b) -2 (c) z (d) -4 c Suppose 0 = 80*w - 6 + 6. Which is the biggest value? (a) w (b) -4 (c) -10/3 (d) 3 d Suppose 5*z + 10 - 5 = -5*s, 5*s - 5*z + 25 = 0. Let o = 0.9 - 0.1. Let n = o - 0.2. Which is the second smallest value? (a) s (b) n (c) 1 b Let i = 3.2991 + 1.3009. What is the biggest value in -0.02, 0.3, 1/11, i? i Let x = 105/347 - 1091/5899. Which is the smallest value? (a) -127 (b) 2/7 (c) 1 (d) x a Let b be -4 - (0 - (0 - -2)). Let y be (-10)/6*((-1323)/414 - -3). Let g = -4/23 - y. What is the third biggest value in 1/5, g, 0.1, b? g Let m = -27/8 + 275/72. Which is the third smallest value? (a) -0.21 (b) 2/15 (c) m (d) -0.3 b Let v(y) = -2*y**2 + 2644*y + 15902. Let j be v(-6). Suppose 2 + 7 = -3*q. Which is the smallest value? (a) -1/8 (b) j (c) q b Let q(z) = 5*z - 18. Let m be q(3). What is the second smallest value in -3/5, m, -30? m Let q = -4037.5 + 4038. What is the biggest value in q, -0.5, -1/4, -29.9? q Let d = -3818/6755 + -6/965. What is the third biggest value in 82, d, -12, -1/8? d Let t = 16460 - 16400. What is the second biggest value in t, 1/3, -0.02, -3, 0.4? 0.4 Let q be ((-2)/12)/((-101)/(-303)). What is the biggest value in q, -0.4, 0.98, 15? 15 Let d = -35760.6 + 35761. Let f = 6 + -11. What is the biggest value in 2, d, f, 2/13? 2 Let d = 0.235 + 193.765. Let m = d - 194.3. Which is the third smallest value? (a) m (b) 80 (c) 1/6 b Let r = -269 + 265. Let b = 1.39 + -1.39. What is the smallest value in 8/5, r, b? r Let s = -146825.2 - -146825. Let w = -9 + 7.05. What is the third biggest value in w, s, -4, 3? w Let g be 5/((-210)/(-3))*2*-2. Which is the fourth biggest value? (a) 2/3 (b) -3 (c) g (d) -0.29 (e) -7 b Let r(q) = 4*q**3 + 102*q**2 - 52*q + 5. Let x be r(-26). What is the smallest value in 101, -2/9, x? -2/9 Let c = 132 + -235. Let q = c +
{ "pile_set_name": "DM Mathematics" }
uppose -3*q = 3*u - 8*q - 57, 0 = u + 4*q - 19. Suppose 10 = -2*h, -5*h = 3*f - 3*h + u. Determine c(f). 4 Let d be 3*-2*8/(-24). Let w(q) = 13*q - 1. Give w(d). 25 Let y(f) be the second derivative of -f**4/6 + 7*f**3/2 - 4*f**2 - 84*f - 1. What is y(10)? 2 Let d(m) = -4 + 0 + 1 - 3*m - 1. Calculate d(-5). 11 Suppose 26 + 19 = b. Let y be (-30)/b*(-6)/(2/(-1)). Let u(o) = -4*o - 2. Let a(i) = 5*i + 3. Let d(w) = 2*a(w) + 3*u(w). What is d(y)? 4 Let f(a) be the first derivative of 2*a**2 + 53*a + 19. Let x be f(-14). Let u(h) = 2*h + 0*h - h. What is u(x)? -3 Let y(g) = -4*g - 15. Let a = -20 + 14. Calculate y(a). 9 Suppose 0 = -8*m + 29 + 19. Let b(q) = q**2 - 5*q - 7. Calculate b(m). -1 Let a(p) = p**2 - 4*p + 5. Let i = -1 + 2. Let b be -1*i + (4 - 0). Suppose b*c = -5*t - 3, -3*c + 3*t = -5*c - 1. Give a(c). 5 Let p(h) = -h + 10. Let d(f) = 2*f**2 + 89*f + 216. Let j be d(-42). Determine p(j). 4 Let r = -35 - -23. Let k = r - -12. Let b(u) = 4*u**2 - 2*u**2 + k*u**2 - 2*u - 4*u**2. Calculate b(-3). -12 Let r be (1/(-1))/(3 + -4 + 2). Let k be (r + (-14)/(-10))/((-12)/(-180)). Let o(v) = -v + 3. What is o(k)? -3 Suppose j + 60 - 12 = 0. Let f = j - -46. Let r(a) = -a**3 - 2*a**2 + a + 2. Determine r(f). 0 Let g(h) = 20*h + 18. Let u(j) = -9*j - 8. Let q(i) = -3*g(i) - 7*u(i). Let v(r) = -r**3 - 6*r**2 + 7*r + 3. Let c be v(-7). Determine q(c). 11 Let v = 63 + -63. Let d(u) be the second derivative of u**4/12 - u**3/6 - 2*u**2 - 32*u + 1. Calculate d(v). -4 Let n(r) be the third derivative of r**6/120 + r**5/12 - r**4/8 - r**3/6 + 78*r**2. Suppose -6 - 14 = 4*m. Give n(m). 14 Let r(s) = s**2 + 5*s. Suppose 0 = 5*w - 0*w + 5. Let g = 6 + w. Suppose 0*j = -j - g. Calculate r(j). 0 Let h(p) be the second derivative of 3*p + 1/20*p**5 + 5 - 1/6*p**3 - 5/12*p**4 + 5/2*p**2. What is h(5)? 0 Suppose -4*z + 5*x + 43 = 0, -3*x - 2 = z - 0. Let v(w) = -7 + 9*w**3 - 2 + 20*w**3 + 7*w**2 - 30*w**3 + 2*w. Give v(z). 5 Let b be (-6)/(-8) + 3038/56. Let q be 230/b - (-4)/(-22). Let y(g) = 2*g - 4. Calculate y(q). 4 Let a be (-84)/(-126) + (-70)/6. Let h(c) = -c**3 - 10*c**2 + 9*c - 13. Give h(a). 9 Let o(f) = 3*f**3 - f**2. Let u = 43 - 37. Suppose 0 = 3*s - u*s + 3. What is o(s)? 2 Let c(s) = s**2 + 4354*s - 4369*s + 7 + 14. Give c(14). 7 Suppose 4*h = -3*n + 388, -2*n - 3*n - 168 = -2*h. Let d(t) = 43 + t - h + 52. Determine d(-4). -3 Let d = 6 - 3. Suppose -2*u = -d - 3. Let q(p) = 5*p**3 + 4*p**2 - 11*p - 3. Let c(x) = x**3 - x - 1. Let m(f) = -6*c(f) + q(f). Give m(u). -3 Let v = 3 + -6. Let l be (-1)/v + (-4)/(-6). Let j(a) be the second derivative of a**4/2 - a**3/6 + a**2/2 - 3*a - 29. What is j(l)? 6 Let d be -1*(-6)/(-9)*-6. Let w(v) = -v + 2. Let h be w(d). Let b(m) = -m**2 + 2*m - 1. Give b(h). -9 Suppose r + 10 - 5 = 0. Suppose 0 = 2*w - 4 - 6. Let i(f) = 2*f**2 - 3*f**2 + w*f + 2*f**2 - 4 + 0. What is i(r)? -4 Let m(d) be the first derivative of -d**2/2 - 2*d + 589. Determine m(3). -5 Suppose -j - 18 = -11. Let g(f) = f**3 + 8*f**2 + 6*f + 8. Let q(x) = x**3 + 7*x**2 + 5*x + 7. Let n(o) = j*q(o) + 6*g(o). Determine n(0). -1 Suppose k = 3*p + 2*k - 212, 0 = -5*p - 4*k + 358. Let l be (56/p)/((-2)/10). Let x(o) = -o**2 - o - 3. Give x(l). -15 Let s = -57 + 61. Let o = 1 + -1. Suppose 16 = s*p - o*p. Let q(m) = -m + 2. Determine q(p). -2 Let w(n) = -n**2 + 2. Suppose -10 = -3*t - 2*t, 2*d + 8 = 5*t. Let k be (0 + d)/(1/(-3)). What is w(k)? -7 Let m be 10/50 - (-382)/(-10). Let p = m - -46. Let k(w) = w**2 - 12*w + 12. Determine k(p). -20 Let m(c) = 3*c - 4*c - 5*c**2 - 2*c**2. Let p(u) = -2*u**3 + 19*u**2 + 41*u - 87. Let k be p(11). Determine m(k). -8 Let f(v) = -v - 9. Let a be f(-7). Let g(n) be the first derivative of -n**3/3 + 3*n**2/2 + 5*n + 52. Calculate g(a). -5 Let b(u) = -u + 1. Let l(v) = -3*v + 1. Let d(p) = 8*b(p) - 3*l(p). Calculate d(-2). 3 Let y(u) = -6*u - 36. Let v be y(-8). Let h(d) = -v*d + d + 13*d. Determine h(3). 6 Let w(q) = q**3 - 2*q**2 + 3*q - 1. Suppose 13*t + 15 = 18*t. Suppose 2*b = -t*o + 2*o, -o = -b + 6. What is w(b)? 5 Let q(h) = -h**3 + 8*h**2 - 12*h + 36. Let y be q(7). Let l(k) = -15*k + 1. What is l(y)? -14 Let d(c) = 13*c + 1. Suppose -50 = 11*h + 14*h. What is d(h)? -25 Let s(c) = -c**3 + c**2 - c. Let w = -36 + 38. Suppose 6 = 2*t - 2*m, -t = 5*m + 11 - w. What is s(t)? -1 Let j be 1 + 0/(3 + -6). Suppose j = -2*p + 3*p. Let x(q) = -q. Let a(s) = -2*s. Let l(t) = -2*a(t) + 6*x(t). What is l(p)? -2 Let d(h) be the second derivative of -11*h**4/12 + h**3/6 + 4*h. Suppose -g + 3 + 0 = 0. Suppose 2 = -g*y + 5. What is d(y)? -10 Let x(s) be the second derivative of -s**5/20 - 2*s**4/3 - s**3/3 - 201*s. What is x(-8)? 16 Let d(s) = 2*s + 2. Let j be (4*15/10)/(-1). Calculate d(j). -10 Let f = 28 - 14. Let l(s) = -f*s - 15*s + 27*s + 0 - 2. Give l(-4). 6 Let u be (-2)/1 + 4 + (26 - 3). Suppose -6*i + 19 = u. Let s(w) = -7*w + 1. Calculate s(i). 8 Let j = 3 + -3. Let l(n) = j - n**2 + n**3 - 3 - 2 + 5*n**2. Suppose 3*t = -4*v - 31, 2*v - t = t + 2. What is l(v)? -5 Let o(c) = -26 - 24*c + 69*c - 20*c - 21*c. Give o(7). 2 Let a = 5 + -4. Suppose 4*w = 19 + a. Let u(n) = 5*n**2 + 0 + 0 - n**3 - 4 + n. Give u(w). 1 Let p(f) = -9*f - 3. Let r(z) = z**3 + 23*z**2 + 61*z + 17. Let t be r(-20). Determine p(t). 24 Let h be 6/2*(-4)/6. Let m(b) = 3 - 168*b - 3 + 333*b - 167*b - 3. Give m(h). 1 Let b(w) = -2*w - 11. Let h(x) = 6*x + 32. Let l(v) = -14*b(v) - 5*h(v). Suppose 11*p = 13*p - 10. Give l(p). -16 Suppose 33 = -9*v - 21. Let c(d) = -d + 1. What is c(v)? 7 Let c(n) = -2 + 10*n + 0*n**2 + 10*n**2 - 9*n**2. Calculate c(-6). -26 Let x(a) be the second derivative of a**3/3 - 5*a**2/2 - 222*a + 1. Determine x(9). 13 Let z be (-45)/6*-2*1. Let s = -10 + z. Let w(o) = -o**2 + 5*o + 7. Give w(s). 7 Let i be 3/(-9) + (-4)/6. Let m = i - -6. Let p(u) = -1. Let k(c) = -c + 1. Let z(h) = -3*k(h) + p(h). Give z(m). 11 Suppose 0 = -58*l + 57*l + 3. Let y(i) = 5 + l*i + 0 + 0*i - 9. What is y(3)? 5 Let u be 3/8 - (0 + 105/(-40)). Let p(w) = w**3 - w**2 - 2*w + 3. Calculate p(u). 15 Let j be 76 - 83 - -1*7. Let v(s) be the first derivative of 5/2*s**2 - 10 + j*s. What is v(-1)? -5 Let l(h) = -35 + 67 + h - 27. What is l(-7)? -2 Let t(k) = -4 + 6*k**2 + 4*k**2 + 0 + 4. Determine t(1). 10 Let m(j) be the first derivative of 1/2*j**2 - 36 - j + 1/3*j**3. Determine m(-1). -1 Let t be (-12)/(-13) + -18*17/(-3978). Let k(z) = 26*z**2 + z. Calculate k(t). 27 Let t(o) = -o**2 + 19*o - 34. Let z be t(17). Let b(d) = z*d + 0*d + 1 + 2*d**3 + 2*d - 3*d**2 - 2. Determine b(2). 7 Let z(d) = 4*d - 28. Let b(l) = 1. Let s(f) = b(f) + z(f). Give s(8). 5 Let j = -29 + 12. Let x(g) = -5*g - 12. Let w(f) = 14*f + 35. Let d(n) = j*x(n) - 6*w(n). Give d(5). -1 Let y be ((-2)/16*-3)/((-4)/32). Let m(a) = a**3. Calculate m(y). -27 Let j(d) = -2*d - 55. Let o be j(-23). Let q(z) = z**2 + 7*z - 4. Determine q(o). 14 Let z(q) = 7*q**3 + 7*q**2 + 4. Let t(c) = -6*c**3 - 7*c**2 - c - 3. Let g(i) = 6*t(i) + 5*z(i). What is g(-6)? 2 Let g(j) be the third derivative of j**4/12 + 4*j**3/3 + j**2. Suppose -3*t + 9 = k, 0*t = -2*k + 3*t + 18. Suppose -k - 15 = 4*l. Determine g(l). -4 Suppose -22 = 3*f - u, -5*f - 57 = 5*u - 7. Let z(w) = w**3 + 8*w**2 - 6*w - 12. What is z(f)? 36 Let x(a) = -9*a**2 - a - 2. Let v = 461 + -459. Calculate x(v). -40 Let c(w) = 6*w**2 - 2*w + 1. Let b = 80 - 73. Let q be 4/(-10) + b/5. Give c(q). 5 Let b = -25 - -24. Let v(p) = -8*p + 2. Let a be v(b). Suppose h = -6*x + 3*x - a, -5*h - 3*x - 2 = 0. Let g(n) = 5*n. Determine g(h). 10 Suppose 22 = 3*f - 23. Let w(n) = -6 + 11*n**2 - 40*n**2 + f*n**2 + 15*n**2 - 4*n. Calculate w(6). 6 Let o(y) = y**3 + 3*y**2 - 4*y. Let k(f) = f**2 + 3*f + 2. Let c be k(-5). Let v = -80 + 65. Let r = v + c. Calculate o(r). 12 Let g(c) be the second derivative of c**4/12 + 5*c**3/6 - 9*c**2/2 + 3*c. Let p(j) = -j**3 + 16*j**2 - 17*j + 23. Let l be p(15). Determine g(l). 5 Let j be (4/(-1))/((-4)/2). Let o(d) = j*d + 0*d - 13 + 16. Suppose -3*a - 15 = 2*a. Calculate o(a). -3 Let v(n) = n**3 - 5*n**2 - 3*n + 2. Let z be 120/20 - (-2)/(-2). Give v(z). -13 Let r = 79 + -69. Suppose -2*a - 4*x = 18, 2*a - r = -0*x + 3*x. Let y(q) be the first derivative of -4*q**3 - 1. Calculate y(a). -12 Let u(t) = -20
{ "pile_set_name": "DM Mathematics" }
+ -31 -7 13 + -16 - (-1 + -1) -1 What is -10 + 16 + (-20 - 2)? -16 Evaluate -9 + 11 - (-3 - 4). 9 What is the value of 4 - 2 - (11 + -12 + 4)? -1 -7 + 14 + (-25 - (-9 - -11)) -20 What is the value of -20 + 14 + 3 + (2 - 1) + -1? -3 What is the value of -28 - (1 - -14 - (-193 - -224))? -12 (-1 - -6) + (5 - (-9 + 12) - 10) -3 Calculate -15 + 13 + -3 + -2 + -6 + 2. -11 (19 - (-29 - -25)) + -26 -3 Calculate -1 + (56 - (-30 + 55)). 30 -16 + (17 - (-14 + -8)) 23 What is (0 - 12) + 16 - 5? -1 Evaluate (-3 - (3 + -2 + 3)) + (-1 - -15). 7 What is -2 - (-8 + -2 + -5)? 13 What is the value of 27 + -2 - -2 - (-8 - -33 - 26)? 28 Evaluate (2 - 0) + (-27 - (10 + -3)). -32 Calculate -4 + -10 + 16 - (30 + -20). -8 Evaluate -6 - (33 - (36 - -6)). 3 What is -14 - ((-31 - -15 - 12) + 15)? -1 Calculate 23 + 6 + -28 + -1 + 17. 17 Evaluate 0 + -2 + 1 - (-11 + (6 - -11)). -7 Evaluate -1 - -4 - (-77 + 70 + (22 - 3)). -9 Evaluate -22 + 3 - (-47 + 15). 13 What is 8 - (-1 - ((-6 - (2 - 5)) + -4))? 2 -21 + (-8 - -1) + -8 + 31 + -16 -21 What is the value of 8 - (23 - 21 - (-8 + 1 + 0))? -1 -2 + 1 + -223 + 239 15 Evaluate 29 + (-34 - -22) - (0 + -1) - 10. 8 What is the value of (2 - 2 - -24 - -9) + -13? 20 Evaluate (-13 - (-12 - -1) - 10) + (0 - -4). -8 Evaluate (36 - 26) + (-11 - -2). 1 What is the value of 12 + -2 - ((7 - 0) + 96 + -76)? -17 What is the value of 1 + 22 - (25 + 5)? -7 93 - (31 + 1) - 36 25 What is 30 + -5 - (-6 + 25 + -15)? 21 Evaluate 12 + (-10 + -20 - -21). 3 Calculate -22 + 21 + -6 + 16. 9 What is -46 - (-21 + (17 - 14) - -6)? -34 What is the value of 9 - (-14 - (-7 - 5))? 11 Calculate -4 - (13 - (1 + 5)) - 1. -12 What is the value of 7 + 1 - ((-2 - -3) + -6)? 13 What is the value of 6 + (-1 - 0) + -62 + 63 - 23? -17 Calculate 1 + 18 + 8 + -1 + -21 + 6. 11 Calculate -25 + 8 + (1 - (10 - (5 + 0))). -21 (-8 - -1) + (18 - (-11 - -36)) + 2 -12 0 - 11 - (-488 + 478) -1 What is -36 + (-12 - 14 - -32)? -30 What is the value of -10 + 3 - (7 + (-1 - -6))? -19 -18 + (0 - -20) + 52 + -20 34 -81 - -91 - (-1 - -8) 3 What is 11 + (-39 - -29 - -5)? 6 What is the value of 15 - (-13 - -27) - (1 + 7)? -7 Calculate 3 - ((-2 - -2) + -4). 7 What is 16 - (-10 - (-38 + -7 + 3))? -16 Calculate (2 - 4) + -13 + -2 + 1. -16 9 + (-24 - (-4 - (5 + -3))) -9 Calculate 7 + (6 - (23 + -13)). 3 What is -26 - ((-42 - 27) + 43)? 0 Calculate -65 + 30 + (35 - -3). 3 (-60 + 70 + (1 - 11) - 7) + 26 19 Evaluate 2 - (-8 - 0 - (50 + -51)). 9 Evaluate (-14 + 42 - 8) + (-3 - -7). 24 -1 + (-4 - (4 + -7) - (-4 + -9)) 11 25 - (17 + -12 + 8) 12 Calculate -31 + (-18 - (36 - 71)). -14 22 + (47 - 57) + 3 15 What is 13 + (-2 - -5) + -7? 9 What is the value of 9 + (-1 - (1 - -1)) + -55 + 60? 11 -1 + (-3 - -1) - (-9 - (0 + -2)) 4 -11 - (9 + -2 + -10) - (1 + 4) -13 Calculate 16 + -1 + -25 + (-43 - -34). -19 What is 0 + ((3 - -3) + 3 + -8 - -1)? 2 What is the value of -23 + 28 - 15 - 14? -24 0 + 2 + (-4 - 1) -3 Evaluate -7 + (-15 - -1) + -22 + 21. -22 Calculate (-18 + -5 - -19) + -3 + 1 - -24. 18 Calculate 1 - -29 - (-420 + 436). 14 What is the value of 25 - (9 + 5) - 7? 4 (-67 - -79) + (-8 - 1) 3 What is -80 + 85 + -3 + 0 + (8 - 2)? 8 8 - 1 - (-17 - (14 - 25)) 13 What is the value of 3 - -17 - ((1 - 3) + 14 + -12)? 20 Evaluate (3 - -7) + 0 - (-37 + 64 + -3). -14 What is the value of -9 + (-10 + -4 + 14 - -18)? 9 What is -4 - ((-6 - -9) + -4 + 15)? -18 What is the value of (57 - 146) + 62 - (0 - 11)? -16 Evaluate -52 - -58 - (0 + 12). -6 Evaluate 5 + -3 + 5 + -7 + -1 - 1. -2 (0 - 5) + (21 - 18) -2 What is (-2 - (-3 - (10 - 24))) + -7? -20 Calculate -2 - 6 - (8 + -17) - (0 - 4). 5 (36 + -50 - -29) + -8 7 What is -15 + 188 + -198 + -1 + 6? -20 Calculate 41 + (-8 - -5) - 56. -18 2 - ((-11 - -8) + 1 + 0 - -2) 2 4 + -6 - (-3 + 7 + 1 + 1) -8 What is -29 - (-2 + -10) - (0 - 1 - -2)? -18 (0 - (0 - (3 + -8)) - -1) + 7 3 1 - (2 - ((-29 - -31) + (1 - -5))) 7 Calculate 14 + 1 - (-29 + 50 + -9). 3 What is -33 - -33 - (0 + 4) - (-4 + 1)? -1 13 - ((1 - 11) + (2 + 1 - 3)) 23 What is the value of 9 + 0 - (15 - (-21 + 24))? -3 -2 + -1 + -2 - (-3 + 5) -7 (0 + -12 - -4) + 8 + 1 1 What is the value of 5 + -8 - (6 + -10 + 7)? -6 -16 + (-25 - (-5 - 15)) -21 Calculate 10 + -10 + 1 + 14. 15 What is 18 + 0 - ((39 - 41) + 7)? 13 Evaluate 7 - ((10 - (22 + -7)) + -1). 13 21 + -36 + 35 + -22 -2 (-59 - -64) + (-19 - -6) + -2 + -1 -11 What is the value of -6 + 2 - (4 - 23)? 15 Calculate 6 + 5 - (2 + (3 + -4 - -1)). 9 What is -1 + -1 + -4 + -23 + 27? -2 Calculate -6 + (-4 - -21 - 11) - (-2 + -10). 12 What is the value of (4 + -3 - -8) + (-7 - 1) + -3? -2 (22 - 2) + -3 - (6 + 3) 8 Evaluate (-3 + 2 - 2) + (5 - 11) - 6. -15 -1 - ((-15 - (4 - 4)) + 12 + -10) 12 What is 18 + -3 + -23 - -21? 13 Evaluate (5 - -3) + -5 - (4 - (-5 - -20)). 14 What is the value of 4 + (0 + 12 - (-109 - -124))? 1 What is 3 + (0 - (4 - -7)) + -2? -10 -21 + 3 + (-11 - (-5 + -1)) -23 -1 + -8 + 16 + -2 + 1 - -11 17 What is 18 + 12 + -54 - -6? -18 8 + -1 + (-520 - -526) 13 Calculate -2 + -3 + -2 - (-1 + 1 - 7). 0 Calculate (-26 - -13) + 21 + 0. 8 6 + 0 + (-9 - (-5 + (9 - 11))) 4 Evaluate -9 + 3 + -3 + -1 + (25 - 27). -12 Calculate (6 - 17) + (-8 + 0 + -2 - -5). -16 Evaluate (9 - (-43 + 20)) + -8. 24 What is the value of -4867 - -4868 - (-1 - (0 + -11))? -9 What is 33 - ((16 - 1) + (-15 - -7) + 0)? 26 Calculate (6 + -1 - ((31 - 0) + -22)) + 12. 8 (-4 - 3) + 7 + (-22 - -9) -13 Calculate -2 + -38 - (-8 + (11 - 9)). -34 What is 6 + (-6 - (1 + (15 - 5)))? -11 Calculate (1154 - 1118) + (-40 - 0). -4 What is -1 - (0 + -1 + 2 - (34 + -26))? 6 Evaluate ((28 - 17) + 7 - 6) + -3. 9 What is the value of 24 + (-5 + 16 + -8 - 2) - 4? 21 -20 + (10 - 3) + 26 - -8 21 Evaluate 75 - (10 + 14 + 21). 30 -24 + 42 + -18 - (-6 - -20) -14 -51 + 58 - (-12 - (2 - 1)) 20 Calculate 36 + 26 + -27 + -43. -8 -899 + 880 + (38 - 0) 19 What is -11 + 3 - (-1 - (2 - (4 - 39)))? 30 Calculate 67 + -83 + (28 - 44). -32 What is -5 + 2 + (-3 - (-6 - -3)) + -4? -7 What is -5 + -4 + (4 - 0 - (-8 + 5))? -2 Calculate (2 + 7 - (6 + -11)) + -4 + 0. 10 -1 + -14 - (2 - (-15 - -18)) -14 Evaluate (-4 + (-2 - -4) - 3) + -1 + 4. -2 Evaluate -3 - (-7 + 3 + -1) - (-49 - -55). -4 What is (3 - 4) + -4 + -5? -10 2 - 7 - (364 + -394) 25 Evaluate 185 - 194 - (-20 + 2). 9 Evaluate 0 + 14 - (-16 - (0 + -14 + 0)). 16 What is -5 - (-5 + (-7 - 4))? 11 1 - (-1 + -3 - (-7 - (-17 - -7))) 8 What is (1 - 2) + (371 - 384)? -14 Calculate 2 + 3 + (-30 - -15) + 8. -2 -13 + (1 - (-5 + 7)) -14 What is the value of -2 + -8 + 8 - -11 - (3 + -10)? 16 Evaluate -1 + (7 - 37) + 10. -21 -7 + (17 + 6 - 14) 2 Evaluate -4 - 2 - -5 - (6 + -11). 4 What is (1 - (2 - 7)) + -18 + (-12 - -16)? -8 Evaluate (-16 - (-5 - 30)) + -22. -3 Calculate 0 + 2 + -10 + (32 - -2) + -8. 18 Calculate (12 - 14) + -6 - -19. 11 8 - (58 + -15 + -18 + -19) 2 Evaluate 23 - (2 + (1 - -32)). -12 What is the value of 288 + -290 + (11 - (1 + -2))? 10 Calculate -12 - -2 - (-32 + -1). 23 Evaluate 5 - (-1 + 9) - -5 - 5. -3 25 + (13 - ((14 - 5) + -3) - 7) 25 Calculate 5 - (-1 + 9 + (291 - 288)). -6 What is the value of -8 - (-12 + 2 + 1)? 1 Calculate -6 - (20 + (-1 - 15)). -10 Calculate 6 - 1 - (-13 + 0 + 18) - 4. -4 Evaluate 5 - 1 - (-5 + 7 + -5 + 10). -3 Evaluate 10 + (1 - 2) - (-264 - -289). -16 What is (-4 - ((-3 - 2) + -12 + 17)) + -4? -8 Calculate (-1 - -30) + 564 + -602. -9 Calculate 2061 - 2051 - (0 + 10). 0 Calculate (26 - (3 - -27)) + 4 + 1. 1 (-5 + -4 + 4 - -3) + 5 + 11 14 -45 + (4 + 10 - -10) -21 Evaluate 3 + (-45 - -54 - (-2 - -6)) + 5. 13 What is (-10 - -4) + (-11 - -34) + -13? 4 What is the value of (-11 - 0) + 9 - (0 - -12)? -14 Evaluate 11 + 0 + 293 + -309. -5 What is the value of -5 - -15 - (-17 - -11)? 16 Evaluate (25 - (3 - -7)) + -12. 3 18 + (0 - 0 - (-6 - (-21 + 18))) 21 (-8 - -11) + (-8 - -9 - (4 + -1)) 1 -17 + -11 - -61 - 67 -34 What is the value of 79 + -92 + -1 + -8 - -17? -5 Evaluate 10 - (-19 - -12 - -9) - 8. 0 What is 2 + (3 - (-11 - -16) - (-6 + -1))? 7 26 - 16 - (1 + 4 + -1) 6 What is the value of (-4 - -14) + (1 + 0 - (-1 + 2))? 10 -2 + 3 + (3 - -1 - (29 - 5)) -19 Evaluate -2 + 11 - (-8 + (-12 - -11) - -16). 2 5 - (-1 + -17 + 7 - 6) 22 What is the value of 53 + (30 - 43) - (9 + 0)? 31 Evaluate -11 + -55 + 35 - -47. 16 Evaluate -12 - ((5 - 6 - 9) + 9). -11 W
{ "pile_set_name": "DM Mathematics" }
*b**(-4)/(b*b**(2/5)))/(((b/(b/b**(-4/3)))/(b/(b*b**(-1/6)*b)))/((b/b**(2/5))/b)**(7/4)) assuming b is positive. b**(174/35) Simplify (d**(1/4)/(d*(d/d**(-6))/d*d)*(d**(-1/4))**43)/((d*d**(-2/5))**(-2/45))**(-42/5) assuming d is positive. d**(-4681/250) Simplify (u**(-3/4)*u**(-1/2))/(u**(-1/3))**(1/58)*(u**(-1/5)*u**(2/3))/(u*u/u**(-1/12)*u*u*u*u**(-1)) assuming u is positive. u**(-4229/870) Simplify (i/(i/((i*i*(i/(i/((i*(i/(((i**18/i)/i)/i*i))/i)/i)))/i)/i*i)))**(-25)*i**(24/11)/i**(-1/28) assuming i is positive. i**(116183/308) Simplify (t**45*t**(12/19)/t)/(t**(-2/19)*t*t/(t**(-15/2)*t)) assuming t is positive. t**(1377/38) Simplify ((a**(3/5)/a**(-2/7))/((a/a**(-2/5))/a**4))/((a/a**(1/4))/(a*a*a**(-6)/a)*((a*a**6)/a)/a**(2/5)) assuming a is positive. a**(-1101/140) Simplify (((h/(h*h*h*h**37/h))/((h*h/h**(4/3))/h*h*h))/(h**(-1/20)/(h/(((h**40/h)/h)/h)*h*h)))**(-38) assuming h is positive. h**(83923/30) Simplify (k*k/k**(2/7)*k**(-5))**43/((k*k**0)**(-1/32))**(-19/3) assuming k is positive. k**(-95077/672) Simplify (v/(v*v**(-2/9)*v))**(-24)*v*v**(-6/7)*v**4*v**(-3)/v**(-2)*(v**0/v*v*v)**17 assuming v is positive. v**(815/21) Simplify ((n**0*(n/n**(-3)*n)/n)/(n**2*n/(n*n**(3/7)/n)))/(n**7/(n*n**(-1/6)*n))**(-7/5) assuming n is positive. n**(1819/210) Simplify ((o**(-2/43)/(o**(-7)/o))/(((o**(-2/3)/o)/o)/o)**11)**(35/2) assuming o is positive. o**(218015/258) Simplify (m**(-1/14)*m**(2/7))**(2/61)*(m/(m/(m**(1/2)*m))*m)**(-16)/((m/((m*m**(-3)/m*m)/m))/(m/((m**(1/9)*m)/m))) assuming m is positive. m**(-165649/3843) Simplify ((p*p**(2/5))**38)**16/(((p**5/p)/p*p)/((p**2*p)/p))**(9/7) assuming p is positive. p**(29702/35) Simplify (((y**(-3)*(y*y**10*y)/y)**(-1/19))**8)**(9/11) assuming y is positive. y**(-576/209) Simplify (t*t**13*(t*t*t*t/(t/(t/(t*t**4*t))*t)*t)/t*t*(t**(-1/5))**(21/2))**(-11/7) assuming t is positive. t**(-1089/70) Simplify (k*k/((k*k**(-9))/k))**(2/93)*(k**8)**(-43) assuming k is positive. k**(-31970/93) Simplify ((((d/(d/(d*d*d/d**(-13))))/d)/(d/(((d/(d*d*d**(-2/25)))/d)/d))*d**(-1/7)/d*((d*d**(-9/5)*d*d)/d)/d)**33)**(6/17) assuming d is positive. d**(316602/2975) Simplify (i**(-5/3)/(i**(5/6)/i))**(-7/6)/(i/(i*i/((i**(1/6)/i)/i))*i*i/(i/(i*(i*i**0)/i*i))*i*i**6/i*i**1*i) assuming i is positive. i**(-77/12) Simplify ((l**(-6/13)/l)/l**(-4)*(l**(-2/57))**(-2/15))**(-49/2) assuming l is positive. l**(-1385083/22230) Simplify (((a/(a/(a/(a*a**(2/13)))*a))/a**16)/(a**(3/2))**(-31))**(-3) assuming a is positive. a**(-2289/26) Simplify ((((q**(-1/4)*q)/q)**11*(q**(-3)*q)**(-22))**48)**(-39) assuming q is positive. q**(-77220) Simplify (((k/((k**(15/2)/k*k)/k))/k*k*k**(-9))/(k**(-2))**(-5/6))**(-5) assuming k is positive. k**(485/6) Simplify ((u*u/(u*((u*u**3/u)/u)/u))/(u*u/(u*u*u/u**(2/15))))/(u*u**(-2/5)*u*u**5)*((u**(1/2)/u)/u*u**1*u)**31 assuming u is positive. u**(293/30) Simplify ((g**(1/42)/g**(-41))/(g/(g/(g**(-8/7)*g))*g)**(3/10))**(-26) assuming g is positive. g**(-15899/15) Simplify ((u**(1/2))**(-1/2)*u**(-11)/(u**(3/5)/u))**(6/13) assuming u is positive. u**(-651/130) Simplify r**(2/7)/r*r*(r*(r/r**(-7))/r)/r*r**(3/19)/(r/(r/r**26)) assuming r is positive. r**(-2468/133) Simplify (a**(-12)*a**(-11))**(-19/2)/(a**(1/12)/((a*a/(a/a**(2/19)))/a*a)*a**(-1)/(a/(a*a**4))) assuming a is positive. a**(49367/228) Simplify (((i**1)**(9/8)*i**(-4)/((i/(i*i/(i/i**(-9))))/i))**(-16))**(8/15) assuming i is positive. i**(464/5) Simplify ((k**(-2)/k)/k*k/k**(-2/11)*(k*k**(2/7))/(k/(k/(k*k**(-2)))))/((k/k**(-4))/k**(-4)*(k**(2/3))**(16/9)) assuming k is positive. k**(-22282/2079) Simplify (x/x**0)**(3/14)*(x*(x*x*x*x**0/x*x)/x)/(((x/(x/x**5))/x)/x*x)*((x*x**(-1))**11)**(-24) assuming x is positive. x**(-11/14) Simplify ((r*r**(-4))**(-2/27))**(-6)/(r**(1/3)*r**(-1/12)/r*(r**(1/5)/r)**5) assuming r is positive. r**(41/12) Simplify ((b**(-1))**(9/2)*(b*b/(b*(b*b/b**4)/b))/b**(-6))/(b**(-6)*b**5*b*b**(-2)/b*b/(b**(-1/4)/b)) assuming b is positive. b**(25/4) Simplify (w**(2/11)/w*w*(w*w**(2/7)/w)/w*((w/(w**(-2/5)/w)*w)/w)**(-44))/((w/(((w*w**0/w)/w)/w))**50)**(-2/105) assuming w is positive. w**(-39761/385) Simplify ((c**2)**(2/21))**(-1/18)/((c*(c*c*c*c*c/(c*c/(c*c**1))*c)/c)**(-27)*c**7/c**2) assuming c is positive. c**(29671/189) Simplify (((n**(1/21)/n)/(n/n**7))**(-18))**(1/11) assuming n is positive. n**(-636/77) Simplify ((n*n**(1/7))/(n/((n/n**6*n)/n*n)))/((n**1*n)/n)**6*(n**0)**(-2/47)*(n*n**1)**(-3/4) assuming n is positive. n**(-159/14) Simplify (p**(-2)*p*p/p**(-3))**(-4/11)/((((p*p**(-1/4)*p)/p)/(((p/(p*p**(-1)*p))/p)/p))/(p**0)**(-11)) assuming p is positive. p**(-169/44) Simplify (v*v**9*v**(-4)/v)**(2/3)*(v*v*v/((v/v**1)/v))**18*v**(-1/4)*(v*v**(1/4))/v assuming v is positive. v**(226/3) Simplify (i**(1/10)*i*i*i**(-10/9)*(i*i*i*i*i/i**(2/49)*i)/i*i**(2/27))**(-9) assuming i is positive. i**(-79673/1470) Simplify (p**(-9)*p*p**(-1/10))**(-28)/((p*(p**(-1/3)*p)/p)/(p/(p*p**(1/7)/p)))**(-2/33) assuming p is positive. p**(785822/3465) Simplify (l**1*l)**(3/29)*l**(1/2)/l**(-1/8)*(l**(8/3)*l**(-2/17))**(-45) assuming l is positive. l**(-449119/3944) Simplify ((l/(l/l**(-7)))**(17/5)/((l/(l*l**14))/l)**3)**(-34) assuming l is positive. l**(-3604/5) Simplify ((t**7/(t/t**(-8)))/(t*t**(3/8)*t*t**(-8)/t*t))/(t**(-2/7)/(t**(6/5)/t))**(6/19) assuming t is positive. t**(20101/5320) Simplify d**(2/27)/d**(1/3)*(d*d*d/(d**(-3)/d))/d*((d/(d**(-2/11)/d))/d)/d*d*((d**(2/11)/d)/d**13)**(20/3) assuming d is positive. d**(-25304/297) Simplify (((a**(1/2)/a)**28/(a/a**(2/3)*a*a*((a/((((a/(a**(-4/3)*a))/a)/a)/a))/a)/a))**(-13))**(-4/7) assuming a is positive. a**(-884/7) Simplify ((k/k**(-2/3))**4*(k**(2/9)/k)/(k*k**(-2/7)))/((k**6/k**5)/(k/(k/(((k*k**(1/3))/k)/k)))**(-4/21)) assuming k is positive. k**(271/63) Simplify ((a**(-2/7))**(-13)*a/(a*((a**(1/4)/a)/a)/a)*a**(-2)*a)/((a**(1/2))**(-9/4)*(a**(-1)/a*a)/(((a/(a/(a**5/a)))/a)/a)) assuming a is positive. a**(537/56) Simplify (l*l**(3/8)*l**7)**(12/7)/((l/(l**(4/5)*l))/(l/l**(-4))*(l/(l**0*l*l))**(-2/17)) assuming l is positive. l**(23847/1190) Simplify ((((b*b**4*b*b)/b)**(-1/8)*(b/(b*(b**(-3)/b)/b*b))**(21/2))**(-4/11))**(4/23) assuming b is positive. b**(-60/23) Simplify ((r**(-2)*r)/(r*r/r**(-6))*(r*r**(-3))**(-2/109))**(-1/16) assuming r is positive. r**(977/1744) Simplify (((c**(-1/3))**(4/15))**(19/4))**(-12) assuming c is positive. c**(76/15) Simplify ((q**(1/4)/q)**(-10/3)*(q**(-1)*q)**(-6))/(q**(-5)*q*q**5*(q*q/(q/(q**(1/4)/q*q)*q))**(-7/6)) assuming q is positive. q**(43/24) Simplify (a/(a*a**(1/4)))**(-43)/(a*a**(1/3))**41*(a/(a*a**(-2/7)*a))**(1/5)*(a/(a/(a*((a*(a/(a*a**(-3)))/a)/a)/a)))/a**2 assuming a is positive. a**(-3701/84) Simplify r/r**(-2/9)*r**3*r**5*r**(-6/13)/r*(r/(r*r**2))**(-2/81)/(r**(-1))**(-23/3) assuming r is positive. r**(151/1053) Simplify ((u**(-1))**(2/27)*(u**2)**(-9/4))/((u/(u**4*u))**(2/63))**47 assuming u is positive. u**(527/378) Simplify ((b/b**(-2/7)*b)**(21/4)*b**(2/17)/b**(-4))/((b/(b/(b*b**0/b*b)))**(2/31))**16 assuming b is positive. b**(7950/527) Simplify (((z/z**16)/(z*z*z*z**(1/7)))/(z**(-3/7)/(z*z**1)))**48 assuming z is positive. z**(-5280/7) Simplify (n**(1/6)*n**(-3)*n**(-2/25)*n*n*n**(-1/8))/(n**0/n*n**(-2/9)*(n**(1/4))**(-18)) assuming n is positive. n**(8431/1800) Simplify (a*a*(a/a**(-2))/a*a*a)**(2/31)/(a*((a**(-6/5)*a)/a)/a*a/a**5*a)*(a**2)**(2/7)*(a**1)**(4/9) assuming a is positive. a**(54713/9765) Simplify ((t/t**(2/5))**(-11))**(-50)*((t**(-1/4)/t)**(-1/11))**(-1/14) assuming t is positive. t**(203275/616) Simplify t**(-5)/t*t*t*t*t**(5/3)/t*(t*t*t**(-2/7))**46*(((t/(t*t**(-2/17)))/t)/((t**4/t)/t))/(t**(-2)/(t/(t/(t*t**6)))) assuming t is positive. t**(29503/357) Simplify (((a*a/a**(-33))**(28/3))**(2/23))**35 assuming a is positive. a**(68600/69) Simplify ((v*v/v**5*(v/(v/(((v*(v/(v*v**(-2/3))*v)/v)/v)/v)))/v*v)/((v/(v/(v*v**13)))/v**5))**43 assuming v is positive. v**(-1591/3) Simplify ((c*(c*(c*c*c/((c/(c/(c*(c**(-1)*c*c)/c)))/c)*c*c)/c)/c*c)**47)**(-3/4)/(c/(c/c**(2/7))*(c/(c*c**(2/27)*c))/c*c)**(-42) assuming c is positive. c**(-4403/18) Simplify (((u/u**(-5)*u*u*u**(2/3))**(17/2))**(-5/6))**33 assuming u is positive. u**(-12155/6) Simplify ((n*n/(n/n**(-7/3)))**(-11)*(n**(2/21)/n)/(n**(-28)*n))**(1/58) assuming n i
{ "pile_set_name": "DM Mathematics" }
3)*t*t*t)/t*t)/t))/t*t)))/t)*t)/t*t)/((t*t**(-8))/t*t)*t**(-6)*t*(t**4*t)/t)**(-2/83) assuming t is positive. t**(-62/249) Simplify ((g**7)**(3/19))**(-1/23) assuming g is positive. g**(-21/437) Simplify f**22*(f/f**(-3/8))/f*f**(3/2)*f**10 assuming f is positive. f**(271/8) Simplify (h**(-7)/(h*h*h**11*h*h*h))/((h/h**(-3/7)*h)/(h*h*h*h*h**(-11)*h*h*h*h)) assuming h is positive. h**(-199/7) Simplify (z**(-4/7)/z*z**11)/((((z**0*z*z)/z)/z)/(z**(1/14)/z)) assuming z is positive. z**(17/2) Simplify (b**(1/10))**(-23/2)/((b/b**(-12)*b)/b)**47 assuming b is positive. b**(-12243/20) Simplify (((l*l**(-2/13)*l)/l)/l)**(-16)/((l**(-3/2)*l)/(l/l**9)) assuming l is positive. l**(-131/26) Simplify ((w**(-2/5)/w)/w**7)/(w/((w*w**(-1))/w*w))**7 assuming w is positive. w**(-77/5) Simplify (q**(3/2))**0/(q*q**(-5/4)*q*q**(-14)*q*q) assuming q is positive. q**(45/4) Simplify (g**2)**(5/12)*(g*g/(g*g/(g/g**15)*g))/((g*((g**(6/11)/g)/g)/g)/g) assuming g is positive. g**(-773/66) Simplify (n/(n*n**(1/7)/n*n*n)*n/(n/n**(-3/4))*n**(-1/5)*n*n/(n*n**8))**(-41) assuming n is positive. n**(52193/140) Simplify (q/(q**(-7)/q))/(q*q*q**8)*q**(-7/4)/(q/(q/((q/(q/(q**(-4)*q))*q)/q))) assuming q is positive. q**(1/4) Simplify (((k/((k/(k*k**(5/8)))/k))/k*(k**(-3/13)/k*k)/k)/(k**(2/13)/k**(1/11)))**(-31) assuming k is positive. k**(-11749/1144) Simplify ((c*c**(-3/7))/c)/((c**(-2/11)/c)/c*c)*(c**(4/5))**45 assuming c is positive. c**(2830/77) Simplify ((w**(-4)/w**(-2))**(-17))**(-5/6) assuming w is positive. w**(-85/3) Simplify (((z*z**(-5)*z*z*z)/z**(-2/21))/(z/z**(-2/3))**19)**(11/2) assuming z is positive. z**(-1254/7) Simplify p*p*p/p**4*p*p*p*p/(p/(p/(p*p**2)))*p/(p**(6/5)*p)*p*p*p**(-2/9)/p assuming p is positive. p**(-19/45) Simplify ((l*l/(l*l**(-1/3)/l)*l)**(-9/5)/((l*l/(l/(l/(l**1*l*l))))/l*l/(l**0/l*l)))**(2/17) assuming l is positive. l**(-10/17) Simplify (d*(d*d**(-2/45))/d)/d*d*d*d**(-1/3)*(d*d/(d*d/(d*d**1)))**(-20) assuming d is positive. d**(-1727/45) Simplify (v**37/v**(3/4))**(-18) assuming v is positive. v**(-1305/2) Simplify (l**(-16))**(2/9)/(l**(1/30)/l*l**(-3/8)) assuming l is positive. l**(-797/360) Simplify (y**(-5/3))**(-1)/(y**(3/17)*y*y**(-8/9)*y) assuming y is positive. y**(58/153) Simplify (k*k**21/k)/k**(-6)*k**19*k**26 assuming k is positive. k**72 Simplify (d/((d/(d**(-1/4)*d))/d)*d)**(-38)*d**(-4/3)*d**(-3) assuming d is positive. d**(-653/6) Simplify (((r**(-1/3)*r)/r)**(-32)*((r/(r**1*r))/r)/(r*r*(r**(1/6)/r)/r*r))**47 assuming r is positive. r**(705/2) Simplify (r/r**(-3/8)*(r*r**(-1/7))/r*((r*r*r/(r/r**(-1))*r)/r)**(2/3))**42 assuming r is positive. r**(319/4) Simplify ((((z**(-2)*z*z)/z)**44)**(7/2))**(-10) assuming z is positive. z**1540 Simplify y**(-3/2)/y**(2/11)*(y**(-2)*y)**(2/23) assuming y is positive. y**(-895/506) Simplify q**(5/7)/(q/q**10*q)*(q**(1/5)*q)**(1/4) assuming q is positive. q**(631/70) Simplify g**(-8)/(g*g**0)*(g*g**(-2/5)/g)**(30/7) assuming g is positive. g**(-75/7) Simplify o/(o*(o*o**(-8))/o)*o**3*o**(-1/3)/((o*o**2)/o) assuming o is positive. o**(26/3) Simplify (g**(-11/6)/g**(-5/6))/(g/(g/g**2))**(2/89) assuming g is positive. g**(-93/89) Simplify (((w**(-1/3)*w)/w)/w)**26*w**(6/7)*w/(w/(w**(-5/6)/w)) assuming w is positive. w**(-499/14) Simplify (w**(-1/26))**(-31)/((w**(-40)/w)/w*w/(w/(w**12*w))) assuming w is positive. w**(785/26) Simplify (w**(-13)*w*w**8)/(w**(-1/25)/w**(-6/5)) assuming w is positive. w**(-129/25) Simplify m*m*m/m**(-5)*m*m*m**1/m*(m/(m*m**1))**(-27) assuming m is positive. m**37 Simplify (f**(-25)*f**(-2/21))/(f*f/(f*f/f**(-2/9))*f)**0 assuming f is positive. f**(-527/21) Simplify ((c**2)**28/(c**(-2))**(-17))**(-45) assuming c is positive. c**(-990) Simplify ((z**0*z**(-2/7))**(-34))**(-7/6) assuming z is positive. z**(-34/3) Simplify ((t*t/t**(2/7)*t)/(t**(-25)/t))**(2/9) assuming t is positive. t**(134/21) Simplify (d**(4/11)*d**(-6))**(1/2) assuming d is positive. d**(-31/11) Simplify (k**(-20)*k**(-3/28))/(k*k**28*k*k**(-9)) assuming k is positive. k**(-1151/28) Simplify (c**(-2/11)*c*c/c**24*c)**(-1/7) assuming c is positive. c**(233/77) Simplify ((u*u*u*u**32*u*u**6)**33)**(3/7) assuming u is positive. u**594 Simplify q**(-8)/q*q/(q*q**(-11))*(q**(-5))**(-9/5) assuming q is positive. q**11 Simplify ((h**0*h*h**(-2/9))/(h*h**7/h*h**(-6)/h))**(4/5) assuming h is positive. h**(28/45) Simplify (((v/(v/(v*v*v**(-2))))/v)/v)**(13/2)/(v**20/(v/(v*v**(-5)))) assuming v is positive. v**(-28) Simplify (t**(-3/8)/t)**(2/15)*t*t*t*t**(-1/3)*t**(-8) assuming t is positive. t**(-331/60) Simplify ((w*(w/(w**20/w*w*w))/w)/((w**24*w*w)/w))**12 assuming w is positive. w**(-540) Simplify ((((w**(-6/5)/w)/w)/(w/(w*w**(1/5)*w)))/(w/(w/w**(-2/9))*(w/(w/(w*w*(w/w**3)/w)*w))/w))**28 assuming w is positive. w**(308/9) Simplify ((i**(-1/9))**(-7/13))**(-1/13) assuming i is positive. i**(-7/1521) Simplify (a*a**(6/11)*a)/a**(-2/71)*a**(2/87)/(a**36*a) assuming a is positive. a**(-2337607/67947) Simplify ((b**(-8)*b*b**4*b)/(b/b**(-2/9)*b)**(2/15))**(-20) assuming b is positive. b**(1240/27) Simplify l/l**(1/10)*l*l**25*(l*l/((l/(l/(l*l/l**15*l*l*l)))/l))/(l**(-3/13)/l) assuming l is positive. l**(5347/130) Simplify (t**(-10/9)*t)**(2/5)*(t**(1/4))**(-9/7) assuming t is positive. t**(-461/1260) Simplify ((t/(t/t**(-2/3)))/t*(t**(1/12)*t)/t)/(t**6/(t**(1/9)/t)) assuming t is positive. t**(-305/36) Simplify (g**0)**(-24)*(g**(-9))**(-31) assuming g is positive. g**279 Simplify ((j/(j/(j*j*j*j*j**5)))**23)**25 assuming j is positive. j**5175 Simplify (a/(a*a**29/a))**(1/8)*(a**14)**(-1/3) assuming a is positive. a**(-49/6) Simplify j**31*j/j**(-23)*(j**(-23))**(-17) assuming j is positive. j**446 Simplify (((d/(d/(d**(-22)/d)))/d**(7/2))**(-35))**(-41/2) assuming d is positive. d**(-76055/4) Simplify (v**(-2/3))**(1/16)*(v**(1/32))**(-17) assuming v is positive. v**(-55/96) Simplify w*w*w**11*w**(3/4)*(w**7/w)**(-11) assuming w is positive. w**(-209/4) Simplify (c*c**(-6))**18/(c*c**(1/4)*c**(-2/43)*c) assuming c is positive. c**(-15859/172) Simplify ((x**(3/8)/x)/x*x**(2/7)*((x**(2/19)*x)/x)/(x**(-3)*x*x))**(-1/53) assuming x is positive. x**(249/56392) Simplify (s/((s/(s*(s/(s/(s**2/s*s))*s)/s)*s*s)/s*s))**35/(s*(s**(1/4)/s)/s)**(2/13) assuming s is positive. s**(913/26) Simplify ((q*q**(-1))**22*q**2/((q*q**(-10))/q))**(-2/9) assuming q is positive. q**(-8/3) Simplify (k*k*k**(-4/9)*k*k*k**(-5)*k)/(k**18)**(1/39) assuming k is positive. k**(-106/117) Simplify (m**(-3/8)*m/(m**(2/9)/m))/(m/(m*m**1*m*m))**(-1/6) assuming m is positive. m**(65/72) Simplify (l/(l*l*l*l*l**0*l*l))**(-2/11)/(l/l**(-2/81))**(-10/9) assuming l is positive. l**(16420/8019) Simplify (((((u/(u/(u/u**4)*u)*u)/u)/u)/u)/u*u)**41*u*u**3*(u*u**(3/13))/u assuming u is positive. u**(-3143/13) Simplify d**(-16)*d/(d*d*d/(d*d**(-1/16)/d*d))*(d/(d*d**(-2)))**(-3/14) assuming d is positive. d**(-1959/112) Simplify t**(18/7)/t*t**(-8/3)*(t*(t*t**17)/t)**4 assuming t is positive. t**(1489/21) Simplify h**(-7/4)*h**10*(h/h**2)/(h*h/h**24) assuming h is positive. h**(117/4) Simplify (b**(-1/9))**(-2/35)*(b*b**(-13)*b)/b**(1/3) assuming b is positive. b**(-3568/315) Simplify ((p/(((p*p**(1/4)*p*p)/p)/p)*p**(-5))/(p**1)**(-4/5))**(-48) assuming p is positive. p**(1068/5) Simplify n**(3/4)/n**14*(n*n**(-4))**(-2) assuming n is positive. n**(-29/4) Simplify (t**(-2))**(-2/13)*(t**(-1)*t)**(43/3) assuming t is positive. t**(4/13) Simplify ((i**(1/28)*i)/i)/i*i*i**8*i*(i*i**(-4))/(i/(i*i**7/i)) assuming i is positive. i**(337/28) Simplify (((l*l*l**(-1/2))**(8/15))**(2/133))**(-2/19) assuming l is positive. l**(-16/12635) Simplify l/l**(3/14)*l*l/(l**12/l*l)*l*(l/(l/l**12))**25 assuming l is positive. l**(4085/14) Simplify d**(-1/37)/d**(-4/7)*(d*d*d*d/(d**1*d))/((d/((d/((d*d*d**(-17))/d))/d))/d) assuming d is positive. d**(4803/259) Simplify (t**(1/5))**(5/6)*t**(-3/5)/(t*(t/(t**4*t))/t) assuming t is positive. t**(107/30) Simplify (((w*w**(2/9))/w)/w)**13*w*w**(-1/3)*w**(4/9) assuming w is positive. w**(-9) Simplify (((a/((a*a*a/a**2)/a))/a)/(a/a**(-6))*a**(-4)/(a*a**(-5/3)/a))**(-1/22) assuming a is positive. a**(14/33) Simplify ((a**(-6)/a)/a*a**(-1/3))/(a**(-2/39)*a**1) assuming a is positive. a**(-362/39) Simplify (((r*r**(1/4))/r**(-3))**(
{ "pile_set_name": "DM Mathematics" }
: 1, k: 3, a: 3, c: 6}. Give prob of sequence raa. 1/1140 Three letters picked without replacement from fbqnxfxxxxxq. Give prob of sequence fqf. 1/330 What is prob of sequence lf when two letters picked without replacement from {y: 1, z: 3, j: 2, f: 1, l: 3}? 1/30 Two letters picked without replacement from {v: 2, z: 7, e: 2, y: 1, q: 2, h: 2}. What is prob of sequence yh? 1/120 Two letters picked without replacement from hshhshttss. What is prob of sequence hs? 8/45 Four letters picked without replacement from {v: 1, w: 1, s: 1, x: 2}. What is prob of sequence sxss? 0 Two letters picked without replacement from {y: 3, b: 3, c: 13}. Give prob of sequence cy. 13/114 Four letters picked without replacement from sswvwvvsasgvvtvav. Give prob of sequence vtgs. 1/2040 Calculate prob of sequence crol when four letters picked without replacement from orcrrrrurvl. 1/1320 Two letters picked without replacement from {k: 2, i: 1, x: 5, r: 2, p: 1, e: 2}. What is prob of sequence ip? 1/156 Four letters picked without replacement from ywpvb. Give prob of sequence ybpw. 1/120 Calculate prob of sequence wwg when three letters picked without replacement from {k: 5, g: 2, w: 3, a: 3}. 1/143 Three letters picked without replacement from {m: 2, v: 1, e: 2, d: 1, c: 1}. What is prob of sequence mcv? 1/105 Calculate prob of sequence cr when two letters picked without replacement from ccrccccrcccr. 9/44 Three letters picked without replacement from maamzmmmzzmzmzazmamm. What is prob of sequence zmm? 3/38 Three letters picked without replacement from {q: 2, t: 4, e: 2, y: 1, s: 2, r: 1}. Give prob of sequence qqr. 1/660 Two letters picked without replacement from zgz. Give prob of sequence gz. 1/3 Calculate prob of sequence vvvv when four letters picked without replacement from vvvgvvvgvvvg. 14/55 What is prob of sequence amm when three letters picked without replacement from amaammaamaam? 7/66 What is prob of sequence iiii when four letters picked without replacement from iiiii? 1 Four letters picked without replacement from dvtdutx. What is prob of sequence tvtu? 1/420 Three letters picked without replacement from {b: 2, y: 1, c: 2, e: 1, n: 4}. Give prob of sequence nby. 1/90 What is prob of sequence cq when two letters picked without replacement from {c: 3, q: 1, u: 4}? 3/56 Three letters picked without replacement from hhhuu. Give prob of sequence huh. 1/5 Three letters picked without replacement from bbbubbeuepbbenenuee. What is prob of sequence pbu? 7/1938 What is prob of sequence nn when two letters picked without replacement from {l: 1, y: 4, n: 3, t: 6}? 3/91 Four letters picked without replacement from {q: 8, z: 1, v: 7, t: 2}. Give prob of sequence tqqq. 7/765 Four letters picked without replacement from zzzsmzzztztzmzmszztz. Give prob of sequence mzsz. 11/1615 Four letters picked without replacement from zzozfzzff. What is prob of sequence fzof? 5/504 Three letters picked without replacement from tfntftffkfkfn. Give prob of sequence kft. 3/143 Calculate prob of sequence uxu when three letters picked without replacement from uuuuuuxxuu. 7/45 Calculate prob of sequence gvg when three letters picked without replacement from gvvvvvvvgvv. 1/55 What is prob of sequence wr when two letters picked without replacement from {c: 2, j: 3, v: 9, g: 3, r: 1, w: 2}? 1/190 Four letters picked without replacement from {j: 3, w: 3}. Give prob of sequence jwww. 1/20 Calculate prob of sequence ds when two letters picked without replacement from {s: 4, d: 2, v: 3, a: 2, h: 2}. 2/39 What is prob of sequence th when two letters picked without replacement from {t: 2, h: 3}? 3/10 Three letters picked without replacement from {n: 5, a: 14}. What is prob of sequence aan? 455/2907 Two letters picked without replacement from ixxiixi. Give prob of sequence xx. 1/7 Four letters picked without replacement from {q: 1, h: 2, x: 1, u: 2}. What is prob of sequence qhxh? 1/180 Calculate prob of sequence ttv when three letters picked without replacement from vvvtvvvvvvvvt. 1/78 What is prob of sequence eee when three letters picked without replacement from {e: 10}? 1 Two letters picked without replacement from dodododzoozoooqdvv. Give prob of sequence dq. 5/306 Two letters picked without replacement from {z: 3, w: 2, x: 1, d: 1, a: 3}. Give prob of sequence xd. 1/90 What is prob of sequence knz when three letters picked without replacement from {k: 3, y: 1, c: 5, a: 5, z: 4, n: 2}? 1/285 Two letters picked without replacement from {e: 4, h: 5, s: 4, a: 1, y: 2}. What is prob of sequence ae? 1/60 Calculate prob of sequence gtv when three letters picked without replacement from {t: 2, f: 1, g: 1, v: 1}. 1/30 What is prob of sequence sk when two letters picked without replacement from kllssbkssssb? 1/11 What is prob of sequence wi when two letters picked without replacement from zzzspzwzwzwwwpwiws? 7/306 Four letters picked without replacement from {e: 2, q: 2, s: 2, t: 2}. What is prob of sequence sees? 1/420 Calculate prob of sequence ty when two letters picked without replacement from yttt. 1/4 What is prob of sequence our when three letters picked without replacement from rrzqqqouqqrrzwquuuru? 5/1368 Four letters picked without replacement from vgrpozr. Give prob of sequence grvp. 1/420 Two letters picked without replacement from {w: 3, n: 5, s: 2, y: 3}. What is prob of sequence yn? 5/52 Two letters picked without replacement from vvdddud. What is prob of sequence uu? 0 Three letters picked without replacement from {g: 1, f: 1, o: 3, w: 3, u: 2, k: 1}. What is prob of sequence guw? 1/165 Three letters picked without replacement from {c: 1, e: 2, a: 1, s: 1, z: 2, l: 1}. What is prob of sequence sce? 1/168 What is prob of sequence uz when two letters picked without replacement from czlhcullpzzl? 1/44 What is prob of sequence laa when three letters picked without replacement from llnpaa? 1/30 Calculate prob of sequence kbx when three letters picked without replacement from {k: 1, x: 1, b: 1}. 1/6 Three letters picked without replacement from ttftff. What is prob of sequence ttt? 1/20 Three letters picked without replacement from {k: 2, m: 2, f: 1, t: 2, h: 1, s: 4}. Give prob of sequence sst. 1/55 Two letters picked without replacement from frprfgvvfdrg. Give prob of sequence rd. 1/44 Two letters picked without replacement from {j: 1, q: 3, m: 16}. What is prob of sequence qm? 12/95 Calculate prob of sequence xxa when three letters picked without replacement from {x: 14, a: 1}. 1/15 Two letters picked without replacement from hphhkhhiphigiglhhh. Give prob of sequence ip. 1/51 Two letters picked without replacement from {n: 2, y: 4, s: 8, m: 2, x: 3, u: 1}. What is prob of sequence ys? 8/95 Calculate prob of sequence babb when four letters picked without replacement from {b: 7, a: 2, v: 2}. 7/132 Three letters picked without replacement from {e: 3, t: 3}. What is prob of sequence tet? 3/20 Four letters picked without replacement from {b: 1, v: 2, c: 2}. Give prob of sequence cvbc. 1/30 Two letters picked without replacement from {u: 2, n: 6, e: 1, v: 1, d: 1, k: 4}. Give prob of sequence en. 1/35 Two letters picked without replacement from dzzdll. Give prob of sequence zl. 2/15 What is prob of sequence dbb when three letters picked without replacement from ddddbdddddbdddbd? 13/560 Four letters picked without replacement from {q: 3, f: 1, p: 5}. What is prob of sequence qpqf? 5/504 Three letters picked without replacement from {z: 7, q: 12}. What is prob of sequence zzq? 28/323 What is prob of sequence ouko when four letters picked without replacement from {k: 10, u: 3, c: 1, t: 1, o: 2, r: 2}? 5/7752 Four letters picked without replacement from iiyiiquibbiuuqqui. Give prob of sequence qibu. 1/340 Calculate prob of sequence xc when two letters picked without replacement from {c: 8, x: 1, q: 2, b: 2}. 2/39 Calculate prob of sequence lh when two letters picked without replacement from hhllhhhhlhh. 12/55 Two letters picked without replacement from {b: 2, c: 18}. Give prob of sequence bb. 1/190 Four letters picked without replacement from jvvvvvjj. Give prob of sequence jjvj. 1/56 What is prob of sequence wje when three letters picked without replacement from jwejwyyjjjjyqqjyyqjw? 1/285 Calcu
{ "pile_set_name": "DM Mathematics" }
ing order. 7, 5, -3, -41 Sort -5, 11, 21, -27 in ascending order. -27, -5, 11, 21 Sort 5, -9250, -1/5, -4 in descending order. 5, -1/5, -4, -9250 Sort -1307, -4, -7. -1307, -7, -4 Sort 0.5, -4, 123, -0.5, 684 in ascending order. -4, -0.5, 0.5, 123, 684 Sort 353, 3, 5, 4, 0 in decreasing order. 353, 5, 4, 3, 0 Put 0.123, -1, 0.09 in increasing order. -1, 0.09, 0.123 Sort 1/3596, 3, -0.2, -0.041. -0.2, -0.041, 1/3596, 3 Put -10, 76, 17 in decreasing order. 76, 17, -10 Put -1, 4, 17691, -3 in descending order. 17691, 4, -1, -3 Sort 248, -8, -1, 2, -6, 3 in decreasing order. 248, 3, 2, -1, -6, -8 Sort 0.2, 0.1, -4, -67/9, 2/27, 2 in descending order. 2, 0.2, 0.1, 2/27, -4, -67/9 Sort -0.38, 2, 17, -2/17, -0.1 in decreasing order. 17, 2, -0.1, -2/17, -0.38 Sort -3, 141, -4, 4, -1 in ascending order. -4, -3, -1, 4, 141 Put -3, 0, -1/166, 2, 0.3, -1851 in decreasing order. 2, 0.3, 0, -1/166, -3, -1851 Sort 1, 15, 4, -24 in increasing order. -24, 1, 4, 15 Sort 5, 37, 193, -2, -4 in ascending order. -4, -2, 5, 37, 193 Sort 39532, 0.3, -1. -1, 0.3, 39532 Sort 3, -3, -0.043, -28, -2 in ascending order. -28, -3, -2, -0.043, 3 Sort 2, 130, 0.5, -0.4, -0.43, -0.5 in decreasing order. 130, 2, 0.5, -0.4, -0.43, -0.5 Put -5, 4086, -4, 2/11 in descending order. 4086, 2/11, -4, -5 Sort 30, 7, -11, 5 in increasing order. -11, 5, 7, 30 Sort 173, -5, -461 in decreasing order. 173, -5, -461 Put -5, -7.2, 2, 1, -2/3, 4 in descending order. 4, 2, 1, -2/3, -5, -7.2 Sort 1, -21, 25029 in descending order. 25029, 1, -21 Sort -4, -3, -13, 2, -1387 in descending order. 2, -3, -4, -13, -1387 Sort 4, 469, 22 in ascending order. 4, 22, 469 Put -2, -4, -74, -5, 14 in decreasing order. 14, -2, -4, -5, -74 Sort 2/83, -2/13, 5, -0.1, 3/2, 0.3 in decreasing order. 5, 3/2, 0.3, 2/83, -0.1, -2/13 Put -4, -3, -33, -2, -5, 18 in decreasing order. 18, -2, -3, -4, -5, -33 Put 1, -5, -47687, 2 in descending order. 2, 1, -5, -47687 Sort -46, 6/37, -5 in ascending order. -46, -5, 6/37 Sort 287, -4, -1372, 3 in decreasing order. 287, 3, -4, -1372 Sort -3, -1, -5869 in decreasing order. -1, -3, -5869 Put 56, 4, 0 in increasing order. 0, 4, 56 Put 174, 2/5, 41 in decreasing order. 174, 41, 2/5 Put -1400, 10, 3/7, -2 in descending order. 10, 3/7, -2, -1400 Sort -1, 15, -13, -61, 4, -9 in decreasing order. 15, 4, -1, -9, -13, -61 Put 5, -10, -20, -3, 3 in increasing order. -20, -10, -3, 3, 5 Sort -4, -0.8, 5, 3/4, -12/29. -4, -0.8, -12/29, 3/4, 5 Sort -4, 81.4, 0.4, 0, 6 in descending order. 81.4, 6, 0.4, 0, -4 Sort 0.4, 5, 1, -5, -74, 0.0782 in ascending order. -74, -5, 0.0782, 0.4, 1, 5 Put 0.2, -16.1, 111, -8 in descending order. 111, 0.2, -8, -16.1 Sort -5, 66, 3, -4 in decreasing order. 66, 3, -4, -5 Sort -53, 2, 482 in descending order. 482, 2, -53 Sort -174/13, 14, -255 in increasing order. -255, -174/13, 14 Sort -28206, -44, -1 in decreasing order. -1, -44, -28206 Sort 0.2, -11253, -2/5 in increasing order. -11253, -2/5, 0.2 Put 80, 18, -4, 14 in descending order. 80, 18, 14, -4 Put -12, -20.4, 4, -1/2 in descending order. 4, -1/2, -12, -20.4 Sort 157, -3, -1, -72, 3 in decreasing order. 157, 3, -1, -3, -72 Sort -184, 0, 2, 1 in descending order. 2, 1, 0, -184 Put -2, 1/15, -6/11, -397 in decreasing order. 1/15, -6/11, -2, -397 Sort -5, -2, 3, -4, -67, -133 in ascending order. -133, -67, -5, -4, -2, 3 Sort -0.22, -1, -4, -5, -1/5, 28 in descending order. 28, -1/5, -0.22, -1, -4, -5 Put 0.3, 2, 0.5, -0.17, 617 in increasing order. -0.17, 0.3, 0.5, 2, 617 Put 97, 5590, -2 in decreasing order. 5590, 97, -2 Put 5, 4, 3, 0.16, -0.2, -30 in decreasing order. 5, 4, 3, 0.16, -0.2, -30 Put -3, 150.34, 4/3 in ascending order. -3, 4/3, 150.34 Sort 2, -15, 26, 14, 3 in descending order. 26, 14, 3, 2, -15 Put 6, -1/222, -0.2 in increasing order. -0.2, -1/222, 6 Sort 4, 5, -5, 529, 2 in decreasing order. 529, 5, 4, 2, -5 Put -6, -16, 28, -2, 2, -3 in increasing order. -16, -6, -3, -2, 2, 28 Put -10, 771, 21 in increasing order. -10, 21, 771 Sort -3, -2/9, 2/11, -0.72, -857 in ascending order. -857, -3, -0.72, -2/9, 2/11 Sort 5, 1, 0.06, 141, -3. -3, 0.06, 1, 5, 141 Put 0.38, -3/5, 32, 1, -4/7, -1/7 in decreasing order. 32, 1, 0.38, -1/7, -4/7, -3/5 Sort -0.62, 1/9, 2723 in descending order. 2723, 1/9, -0.62 Sort 0.082, -36, 2/3, 2/11 in decreasing order. 2/3, 2/11, 0.082, -36 Sort -11, 0.05, -78/7. -78/7, -11, 0.05 Put 3, -20, -31, -3, -4, 0 in decreasing order. 3, 0, -3, -4, -20, -31 Sort -10, -4, -2, 277 in descending order. 277, -2, -4, -10 Put -2/11, -0.364, 21, -1/3 in increasing order. -0.364, -1/3, -2/11, 21 Sort 5, -1, 2, -2, -94, -41. -94, -41, -2, -1, 2, 5 Sort 0.009979, 1, -5, -3 in decreasing order. 1, 0.009979, -3, -5 Sort -0.02, 0.0375, 0.244. -0.02, 0.0375, 0.244 Sort -0.4, -0.2, 12015, -2/11 in descending order. 12015, -2/11, -0.2, -0.4 Put 3, -14, -17, -2, -176 in increasing order. -176, -17, -14, -2, 3 Put -498, 1/996, 1, 2/7 in increasing order. -498, 1/996, 2/7, 1 Sort -18, 10, -1, 3, -5, 18. -18, -5, -1, 3, 10, 18 Put 3, 11, -3, -4, -512 in decreasing order. 11, 3, -3, -4, -512 Sort 2, -17134, 4, -1. -17134, -1, 2, 4 Put 1/3, 2.9, 12.2, -5, 2, -0.3 in decreasing order. 12.2, 2.9, 2, 1/3, -0.3, -5 Put 4, 2, 5, -1, 215, 1 in decreasing order. 215, 5, 4, 2, 1, -1 Put 28, -30517, 4 in increasing order. -30517, 4, 28 Put 2901, 5, 1 in increasing order. 1, 5, 2901 Sort -2/7, -17.633, -1/6 in decreasing order. -1/6, -2/7, -17.633 Sort 3, -2, 11, -7, 26. -7, -2, 3, 11, 26 Sort -0.6, 3, 0, 329/2, -0.03. -0.6, -0.03, 0, 3, 329/2 Sort 5, 1859, -2/21, 1/2, -1.2 in increasing order. -1.2, -2/21, 1/2, 5, 1859 Put 1/215, 1/2, 0.19 in descending order. 1/2, 0.19, 1/215 Sort 0.01, 4, 1, -190/3. -190/3, 0.01, 1, 4 Put 0.422, 16/13, 0.6, -4 in increasing order. -4, 0.422, 0.6, 16/13 Sort -4, -3, 28, 1, 106, -7 in increasing order. -7, -4, -3, 1, 28, 106 Put -1, -5, -9, 5, -18, -4 in decreasing order. 5, -1, -4, -5, -9, -18 Put 4, 118, 1, 16 in ascending order. 1, 4, 16, 118 Put 4, -8, -2080, 5 in decreasing order. 5, 4, -8, -2080 Sort -68, 4, 50 in descending order. 50, 4, -68 Sort -0.2, 634/3, -0.3. -0.3, -0.2, 634/3 Sort 1, 3848, -97, -3 in descending order. 3848, 1, -3, -97 Put 11, -8, -5 in descending order. 11, -5, -8 Put -5025, -1, 67, 2, 5 in decreasing order. 67, 5, 2, -1, -5025 Sort -35, -88, 1/3 in decreasing order. 1/3, -35, -88 Sort -11, -1, -15, -3, 1, -5 in descending order. 1, -1, -3, -5, -11, -15 Put -10, -5, -417, 0 in ascending order. -417, -10, -5, 0 Put 4, 6, -4, 0.017, 5, 47 in ascending order. -4, 0.017, 4, 5, 6, 47 Put 38, -0.2, -496, 3, 0.3, -0.4 in descending order. 38, 3, 0.3, -0.2, -0.4, -496 Sort 1148, -1190, -2/9 in decreasing order. 1148, -2/9, -1190 Put 5, 0, 4081, 2 in descending order. 4081, 5, 2, 0 Put -1, -3, -5, -45, -1159 in ascending order. -1159, -45, -5, -3, -1 Sort 3, -88, -3, 19, -1, 5 in descending order. 19, 5, 3, -1, -3, -88 Sort 4, -0.048, 0.3, -282, 5, 1. -282, -0.048, 0.3, 1, 4, 5 Put 9851, -1, 17, -5, 5 in decreasing order. 9851, 17, 5, -1, -5 Sort 2/33, 238, -0.3, -0.04 in decreasing order. 238, 2/33, -0.04, -0.3 Put 1.01, -0.56, 0.5, 12 in descending order. 12, 1.01, 0.5, -0.56 Sort 10, 1, -2, -106, 11, 2 in increasing order. -106, -2, 1, 2, 10, 11 Sort -4553, -2, 3 in decreasing order. 3, -2, -4553 Sort -3/2, -7, -1/9, 24, 5. -7, -3/2, -1/9, 5, 24 Sort -1, -7, 73. -7, -1, 73 Sort -7668, -2, -14 in decreasing order. -2, -14, -7668 Sort -21, -3, -109, -24, -2 in decreasing order. -2, -3, -21, -24, -109 Sort 2, 29, -29, -2, -3 in ascending order. -29, -3, -2, 2, 29 Sort 2, -3, -4, 180, 3. -4, -3, 2, 3, 180 Put -677, 3, -6 in descending order. 3, -6, -677 Sort 3166, 2, 0, -2, -4, 1 in descending order. 3166, 2, 1, 0, -2, -4 Put -3353, 5/17, -0.4 in increasing order. -3353, -0.4, 5/17 Sort 9, 8, -2, -1.2, -4, -3/2 in descending order. 9, 8, -1.2, -3/2, -2, -4 Sort 1.7, 0.09, -3, 2/15, 1/3, 0 in decreasing order. 1.7, 1/3, 2/15, 0.09, 0, -3 Put 0, -3.2, -2, -14754 in decreasing order. 0, -2, -3.2, -14754 Sort -1381, -3, 2, -19 in ascending order. -1381, -19, -3, 2 Sort 5, -3, 7, -1, -40 in decreasing order. 7, 5, -1, -3, -40 Sort 0.2, 0.5, -47, -1.5, -0.3, -7 in descending order. 0.5, 0.2, -0.3, -1.5, -7, -47 Sort 288, 3, 0, 2, 12 in ascending orde
{ "pile_set_name": "DM Mathematics" }
09 to the power of 1/2, to the nearest integer? 1586 What is the cube root of 2537063 to the nearest integer? 136 What is the seventh root of 11455405 to the nearest integer? 10 What is the third root of 350430 to the nearest integer? 71 What is the third root of 270186 to the nearest integer? 65 What is 14996274 to the power of 1/3, to the nearest integer? 247 What is 3835 to the power of 1/2, to the nearest integer? 62 What is 2613863 to the power of 1/4, to the nearest integer? 40 What is 3254048 to the power of 1/3, to the nearest integer? 148 What is the cube root of 8852530 to the nearest integer? 207 What is the square root of 14832653 to the nearest integer? 3851 What is the cube root of 2656349 to the nearest integer? 138 What is 353713 to the power of 1/3, to the nearest integer? 71 What is the third root of 1162383 to the nearest integer? 105 What is the fifth root of 491378 to the nearest integer? 14 What is the square root of 194329 to the nearest integer? 441 What is 5566713 to the power of 1/3, to the nearest integer? 177 What is the cube root of 22580706 to the nearest integer? 283 What is 1058039 to the power of 1/2, to the nearest integer? 1029 What is 1280218 to the power of 1/6, to the nearest integer? 10 What is the square root of 21076788 to the nearest integer? 4591 What is the sixth root of 8816729 to the nearest integer? 14 What is the fourth root of 177858 to the nearest integer? 21 What is 796524 to the power of 1/6, to the nearest integer? 10 What is 15536741 to the power of 1/6, to the nearest integer? 16 What is 3351320 to the power of 1/2, to the nearest integer? 1831 What is the fourth root of 4225109 to the nearest integer? 45 What is 140876 to the power of 1/7, to the nearest integer? 5 What is the square root of 3195664 to the nearest integer? 1788 What is 2283087 to the power of 1/9, to the nearest integer? 5 What is 19740694 to the power of 1/2, to the nearest integer? 4443 What is the sixth root of 385106 to the nearest integer? 9 What is 1596230 to the power of 1/3, to the nearest integer? 117 What is the fourth root of 14947157 to the nearest integer? 62 What is the fourth root of 6527910 to the nearest integer? 51 What is the square root of 690786 to the nearest integer? 831 What is 224719 to the power of 1/4, to the nearest integer? 22 What is 3733265 to the power of 1/3, to the nearest integer? 155 What is the cube root of 1272911 to the nearest integer? 108 What is 319441 to the power of 1/2, to the nearest integer? 565 What is the sixth root of 506752 to the nearest integer? 9 What is the third root of 129961 to the nearest integer? 51 What is the fifth root of 6707477 to the nearest integer? 23 What is 115164 to the power of 1/7, to the nearest integer? 5 What is the square root of 1897532 to the nearest integer? 1378 What is 2762548 to the power of 1/3, to the nearest integer? 140 What is the square root of 451853 to the nearest integer? 672 What is the square root of 294272 to the nearest integer? 542 What is 4011064 to the power of 1/2, to the nearest integer? 2003 What is the seventh root of 57108 to the nearest integer? 5 What is 1386268 to the power of 1/6, to the nearest integer? 11 What is 356158 to the power of 1/2, to the nearest integer? 597 What is the seventh root of 2319909 to the nearest integer? 8 What is 1361349 to the power of 1/2, to the nearest integer? 1167 What is 830908 to the power of 1/2, to the nearest integer? 912 What is the cube root of 1567233 to the nearest integer? 116 What is the square root of 313808 to the nearest integer? 560 What is 7593689 to the power of 1/4, to the nearest integer? 52 What is 6620225 to the power of 1/3, to the nearest integer? 188 What is the fourth root of 295296 to the nearest integer? 23 What is the cube root of 90169 to the nearest integer? 45 What is the sixth root of 640944 to the nearest integer? 9 What is 32012699 to the power of 1/3, to the nearest integer? 318 What is the eighth root of 2111372 to the nearest integer? 6 What is 243785 to the power of 1/3, to the nearest integer? 62 What is the third root of 89980 to the nearest integer? 45 What is the square root of 20090048 to the nearest integer? 4482 What is 271939 to the power of 1/3, to the nearest integer? 65 What is the cube root of 2146445 to the nearest integer? 129 What is 6468959 to the power of 1/3, to the nearest integer? 186 What is the cube root of 2733129 to the nearest integer? 140 What is 2203904 to the power of 1/9, to the nearest integer? 5 What is the seventh root of 183048 to the nearest integer? 6 What is the fourth root of 3127221 to the nearest integer? 42 What is the third root of 188118 to the nearest integer? 57 What is 320496 to the power of 1/8, to the nearest integer? 5 What is 376771 to the power of 1/10, to the nearest integer? 4 What is the fourth root of 1081748 to the nearest integer? 32 What is 212675 to the power of 1/3, to the nearest integer? 60 What is the square root of 1357684 to the nearest integer? 1165 What is 52696 to the power of 1/2, to the nearest integer? 230 What is 27918 to the power of 1/7, to the nearest integer? 4 What is 167248 to the power of 1/3, to the nearest integer? 55 What is 2616561 to the power of 1/2, to the nearest integer? 1618 What is 1736560 to the power of 1/8, to the nearest integer? 6 What is the square root of 100310 to the nearest integer? 317 What is 17148 to the power of 1/2, to the nearest integer? 131 What is the tenth root of 618697 to the nearest integer? 4 What is the third root of 1450782 to the nearest integer? 113 What is the seventh root of 6377051 to the nearest integer? 9 What is 10559016 to the power of 1/7, to the nearest integer? 10 What is the cube root of 126175 to the nearest integer? 50 What is the cube root of 2900569 to the nearest integer? 143 What is 202593 to the power of 1/3, to the nearest integer? 59 What is 348596 to the power of 1/5, to the nearest integer? 13 What is 2181720 to the power of 1/6, to the nearest integer? 11 What is 459108 to the power of 1/2, to the nearest integer? 678 What is 823011 to the power of 1/7, to the nearest integer? 7 What is the cube root of 7392600 to the nearest integer? 195 What is 8341529 to the power of 1/10, to the nearest integer? 5 What is 380574 to the power of 1/5, to the nearest integer? 13 What is 101922 to the power of 1/2, to the nearest integer? 319 What is 31344276 to the power of 1/3, to the nearest integer? 315 What is the third root of 339851 to the nearest integer? 70 What is the third root of 6652121 to the nearest integer? 188 What is 211531 to the power of 1/2, to the nearest integer? 460 What is 480970 to the power of 1/6, to the nearest integer? 9 What is the cube root of 4417072 to the nearest integer? 164 What is the third root of 517734 to the nearest integer? 80 What is 1190686 to the power of 1/3, to the nearest integer? 106 What is the square root of 29413 to the nearest integer? 172 What is 13776816 to the power of 1/2, to the nearest integer? 3712 What is 1105705 to the power of 1/2, to the nearest integer? 1052 What is the third root of 3840844 to the nearest integer? 157 What is 10306041 to the power of 1/6, to the nearest integer? 15 What is the third root of 643810 to the nearest integer? 86 What is 3672805 to the power of 1/10, to the nearest integer? 5 What is 13974472 to the power of 1/3, to the nearest integer? 241 What is 19740134 to the power of 1/2, to the nearest integer? 4443 What is 530434 to the power of 1/4, to the nearest integer? 27 What is the cube root of 873661 to the nearest integer? 96 What is 146778 to the power of 1/3, to the nearest integer? 53 What is the square root of 23819008 to the nearest integer? 4880 What is the square root of 1101002 to the nearest integer? 1049 What is the square root of 5419466 to the nearest integer? 2328 What is the seventh root of 2377173 to the nearest integer? 8 What is the third root of 1263015 to the nearest integer? 108 What is 8328937 to the power of 1/2, to the nearest integer? 2886 What is the square root of 402658 to the nearest integer? 635 What is 36602 to the power of 1/4, to the nearest integer? 14 What is 906989 to the power of 1/9, to the n
{ "pile_set_name": "DM Mathematics" }
4.48 What is the product of 0.1294622 and 7? 0.9062354 Work out 2654077 * -5.8. -15393646.6 22955263*-2.3 -52797104.9 -0.03*10570.12 -317.1036 -179*0.25939 -46.43081 Multiply 1313064 and 328. 430684992 0.1 times -3059173 -305917.3 -1046089 * 8 -8368712 What is 402.82 times -1102? -443907.64 Calculate -0.202*-0.08197. 0.01655794 0.12863 * 0.0804 0.010341852 Multiply 980 and -49130. -48147400 -0.05427*-32.385 1.75753395 -13.1*3.33969 -43.749939 What is the product of -257944.852 and 0? 0 Work out -39996776 * 0.5. -19998388 Calculate -23570909*-0.37. 8721236.33 1 * -239483 -239483 Calculate 39854*-0.07. -2789.78 Work out 1.1269 * -3136. -3533.9584 What is 4 times -57570.826? -230283.304 What is the product of -1.91014 and 211? -403.03954 -9 * 3233913 -29105217 164.91 * 0.01233 2.0333403 What is 203541 times 552? 112354632 Calculate 77*0.00813. 0.62601 -0.3 * -325810525 97743157.5 1 * -8383236 -8383236 Calculate -0.462012*-0.4. 0.1848048 -6.5*-8462956 55009214 -2*-0.001833 0.003666 What is 0.00163 times 480? 0.7824 Product of -7.3419 and -0.2566. 1.88393154 7.7 times 2506 19296.2 Multiply -20636817 and -0.04. 825472.68 93 * -1549539 -144107127 Calculate -0.06*4549229. -272953.74 Product of 4 and 29148307. 116593228 Multiply 163 and 159.344. 25973.072 What is -7 times 22.42126? -156.94882 Multiply 813550 and 0.04. 32542 What is the product of 12860.83031 and -0.1? -1286.083031 Work out -5542 * -553. 3064726 Product of -1.57 and -1281870. 2012535.9 Calculate -121*46.8. -5662.8 -15.824357 times 0 0 Calculate 10271108*-0.09. -924399.72 What is the product of 2042739 and -36? -73538604 -1742.8073*0.1 -174.28073 Product of 48405519 and -1. -48405519 4 * -390596.981 -1562387.924 -23.36973 times 2 -46.73946 Work out -7785.35 * 35. -272487.25 9354311 times -4 -37417244 Product of -22946 and -2.26. 51857.96 What is the product of 2 and -0.05224554? -0.10449108 Calculate 2.09875*-0.72. -1.5111 Multiply -92065635 and -0.01. 920656.35 What is 93 times -559227? -52008111 Product of 10740 and -0.37. -3973.8 Multiply 0.01 and -19074899. -190748.99 -18643488*-10 186434880 Work out 44.21 * -2363. -104468.23 Calculate -7.3*3.85714. -28.157122 Work out 7 * -24. -168 Work out -59 * 8480686. -500360474 -20653179*-2.2 45436993.8 -34.7286037*-3 104.1858111 -473.21 * -40.45 19141.3445 Work out -4006.3 * 4.7. -18829.61 Multiply 44382 and -0.86. -38168.52 0.9 times -0.0721554 -0.06493986 Multiply -389.2 and 3685. -1434202 What is the product of -4.653 and -14345? 66747.285 What is 0.15 times -0.47421333? -0.0711319995 Product of 4 and 1325241. 5300964 What is 0.18495 times 1190? 220.0905 Multiply -2453.89 and 7. -17177.23 Multiply -0.5 and 1700935.4. -850467.7 5959488.6 * 5 29797443 What is the product of 43.19677 and -164? -7084.27028 What is -32472 times 0.316? -10261.152 1912 times 63.75 121890 -8 * 60604915 -484839320 Calculate -879753845*0.3. -263926153.5 -389 times -16260.7 6325412.3 8543 * -14572 -124488596 What is -0.7 times -1337544? 936280.8 Multiply -0.286035091 and 4. -1.144140364 What is the product of 960.62 and -7.5? -7204.65 Product of -28 and -54956.77. 1538789.56 Product of -0.091 and 88074.66. -8014.79406 What is the product of -312029 and -0.081? 25274.349 Multiply 724 and -1339.3. -969653.2 Product of -2.617 and 11.846. -31.000982 0.244 times -23.989 -5.853316 What is the product of -454548.1 and -0.5? 227274.05 Multiply -493 and -54.06. 26651.58 -5 * 434687.94 -2173439.7 Calculate 4796.39*0.586. 2810.68454 187257 times -0.31 -58049.67 0.3 times 1175095 352528.5 -0.1 * -257.174 25.7174 26980229 times 0.1 2698022.9 What is 0 times 15086554? 0 What is 179 times 41942? 7507618 -997.7637*0.2 -199.55274 What is the product of -0.01 and 0.2231646? -0.002231646 -146.1*0.0352 -5.14272 What is the product of 1.98 and 5929? 11739.42 Calculate 1.145*3.184. 3.64568 Product of 0.7643369 and 1. 0.7643369 Work out 936802 * -599. -561144398 Multiply 0.09 and -850139. -76512.51 86*16351 1406186 15333*9262 142014246 -240.776*-0.127 30.578552 What is -0.1 times -1974.86? 197.486 Work out 3 * -0.06773086. -0.20319258 Work out -0.3 * -0.780481. 0.2341443 What is 2.1 times 6714985? 14101468.5 Work out 118176.62 * -0.3. -35452.986 What is the product of -7 and -4345903? 30421321 What is 96837279 times 2? 193674558 Product of 3366 and 730.4. 2458526.4 -2 * -1305208 2610416 What is the product of 3268 and 341? 1114388 What is 78 times 17437905? 1360156590 9291806 * -0.1 -929180.6 What is 11 times -44214.4? -486358.4 What is 25421.584 times -0.4? -10168.6336 -237021.4 * 0.04 -9480.856 -0.070315 times -0.079 0.005554885 What is the product of -0.5 and -0.0163301? 0.00816505 What is 2.52 times 1.0946? 2.758392 Work out -56884 * -7.73. 439713.32 15262599 * -0.4 -6105039.6 What is -48698 times -29.5? 1436591 Calculate 1629.9*0.309. 503.6391 What is the product of 7015938.68 and 0.4? 2806375.472 Multiply 0.4 and 5878246. 2351298.4 What is 4 times 1109217? 4436868 Work out 693 * -3228. -2237004 -8010233 * 2 -16020466 What is the product of -230.95 and 0.38? -87.761 -13.15 times 0.95051 -12.4992065 Multiply 1.46 and 51412. 75061.52 What is -2 times -121241465? 242482930 Work out 1 * -42653449. -42653449 -22.6*160613 -3629853.8 -267 times 30617 -8174739 Multiply -0.9743 and 8.154. -7.9444422 What is the product of 11017 and 3659? 40311203 What is the product of -3 and 3690.8695? -11072.6085 What is the product of -0.34 and -0.14987036? 0.0509559224 Work out 0.11 * -30076. -3308.36 What is -10.06245 times 16.6? -167.03667 Product of 70306.746 and 2. 140613.492 -134*158.9156 -21294.6904 Product of 4.045 and 53159. 215028.155 Multiply -18775105 and 3. -56325315 Product of -0.0317404 and -0.06. 0.001904424 2.9 * -7805951 -22637257.9 What is the product of -0.017 and 344166? -5850.822 0.076 times 275475 20936.1 -103*347.66 -35808.98 What is the product of -188607 and 0.168? -31685.976 What is 11092 times 49? 543508 Work out 15 * 515.6569. 7734.8535 Multiply -2.9 and 60066. -174191.4 Calculate -34.65*-0.1388. 4.80942 110.9 * -12981 -1439592.9 What is the product of -1270896 and -7? 8896272 What is 0.0306138 times 39? 1.1939382 -93426.19 * 0 0 -197070.3 * 18 -3547265.4 Product of 0.2 and 136318166. 27263633.2 Multiply 58420 and -0.69. -40309.8 1422803*-8 -11382424 -4.6*-282.634 1300.1164 -0.3 times -566.816 170.0448 Product of -34 and 1.60105. -54.4357 58*-13133566 -761746828 -9804045 * 5 -49020225 -11.64947 times 14 -163.09258 Product of 24.6 and 108811. 2676750.6 Product of 2 and -171399111. -342798222 Calculate -1*-13.31729. 13.31729 0.10201006 times 0.03 0.0030603018 What is the product of 0.3 and 1247327? 374198.1 Calculate -11055*535. -5914425 Product of -2.11 and -10603.2. 22372.752 Multiply -0.247 and -109118. 26952.146 Multiply 528 and 1958.38. 1034024.64 What is the product of 2.2818 and -19010? -43377.018 What is the product of -37 and 1.82003? -67.34111 What is -0.24248 times -1.246? 0.30213008 437.51 times 24906 10896624.06 5706648 times -3 -17119944 What is the product of -88 and -49170? 4326960 What is the product of 3 and -37388403? -112165209 0.05 times 9367779 468388.95 Work out -32877 * -0.192. 6312.384 0.33 * 30609.356 10101.08748 -7318*-403 2949154 What is the product of 1.3 and -2088146? -2714589.8 -0.6*0.467441 -0.2804646 Multiply 10334246 and 0.3. 3100273.8 Work out -3 * -96903510. 290710530 Product of -68654.96 and 4. -274619.84 3 * 18603.2023 55809.6069 Work out 0.0398 * 1878.6. 74.76828 What is -3771079 times 2? -7542158 Calculate 5681*2027. 11515387 What is 12.573 times 1.215? 15.276195 What is the product of -4318 and -15.984? 69018.912 0.3 * -3618662 -1085598.6 What is the product of -13 and -0.8923808? 11.6009504 What is 0.49 times -11593858? -5680990.42 Calculate 0.20953*0.1973. 0.041340269 Calculate -0.017148*-1238. 21.229224 -2607919.1*5 -13039595.5 Multiply -46357373 and 0.2. -9271474.6 6.34 * -5230 -33158.2 4 * -216293 -865172 What is 28 times 18493.978? 517831.384 What is 0.3 times 3829276? 1148782.8 Work out 19792.5 * 636. 12588030 Calculate -64863*-15. 972945 0.16*-20352.67 -3256.4272 What is -1.32035276 times -4? 5.28141104 Product of -1.2682 and -39.7. 50.34754 Work out 2377 * 0.268. 637.036 -15401.57 * 0.08 -1232.1256 -3.21*0.25122 -0.8064162 -580
{ "pile_set_name": "DM Mathematics" }
m = 1 - q. What is the smallest common multiple of j and m? 60 Suppose 17*g - 18*g = -128. Calculate the smallest common multiple of g and 160. 640 Let h = -43 + 46. Suppose 4*c - 21 = -h*a + c, 25 = 4*a + c. Calculate the smallest common multiple of a and 17. 102 Let h = -8194 - -1622405/198. Calculate the common denominator of h and -47/66. 198 Let n(z) = z**2 + 14*z - 5. What is the lowest common multiple of n(-15) and 15? 30 Let t = 1031/2 - 37213/72. Calculate the common denominator of t and 2/(-5) - (-9)/((-2520)/(-1352)). 504 Let q be 2*4/28*14. Suppose -3*z + 65 - 11 = d, 2*d = q*z - 82. Let l = -10 + z. What is the lowest common multiple of l and 10? 90 Find the common denominator of 7/49 + (-771)/(-140) and 59/166. 1660 Let l(s) = 5*s + 1. Let j(t) = t. Let z be j(3). Suppose 0 = -4*v + 48 + 32. What is the lowest common multiple of v and l(z)? 80 Suppose -m - 33 = -0*m. Suppose 3*d + 5*z - 11 = -34, -5*d = z + 31. What is the common denominator of (-27)/m + (-3)/d and -37/18? 198 Let d be 3/7 - (-17)/(-7). Find the common denominator of -3*(-31)/(-14) - 1 and (-1422)/28 - d/7. 14 What is the common denominator of -1/16 and 870/(-87) - (-4858)/488? 976 Let t = 42 + -22. Let f = t + -12. Let w = 22 - f. What is the least common multiple of 14 and w? 14 Suppose -5*g = -0*g + 120. What is the common denominator of (-226)/g + 0 + -2 and 99/4? 12 Let m = 377 - 223. What is the smallest common multiple of m/13 - (-40)/260 and 28? 84 Let s = 201669/14 - 14399. Calculate the common denominator of -7/362 and s. 2534 Find the common denominator of -53/78 and (-3)/5*(0 - 170/(-4)). 78 Let w = -1428 - -2457. Let r = -24703/24 + w. Find the common denominator of r and 115/18. 72 Find the common denominator of 131/24 and (1 - (-8)/(-10))/(28/(-595)). 24 Suppose 7*y - 54 = -2*y. Suppose o - 4 = -0*o. Let s(u) = u**3 - 3*u**2 - 2*u - 4. Calculate the lowest common multiple of s(o) and y. 12 Let a(s) = -38*s - 1. Let z be a(-2). Suppose o = -0*o + 3*r + 17, -4*o + z = -5*r. Calculate the lowest common multiple of 16 and o. 80 Calculate the common denominator of (205/(-125) - -1)*(-110)/12 and -38/9. 45 Let x be ((-8)/(-10))/((-8)/(-120)). Suppose -3 = -3*p + x. Let c = 15 - 11. Calculate the smallest common multiple of p and c. 20 Let b = 13 - 11. Suppose -5*r + 95 = -4*m, r = -b*m - 2*r - 75. What is the common denominator of 41/6 + 10/m and -10/3? 6 Let f = 15 + -11. Let j(d) = f + 3 + 4*d - 12 + 0. Calculate the lowest common multiple of j(4) and 8. 88 Find the common denominator of -25/6 and ((-70)/(-45))/(4 - 664/132). 102 Suppose -3*y + 5*o = -8*y + 315, y = 2*o + 78. What is the lowest common multiple of 10 and y? 340 Let x = 236143/30 + -7875. Calculate the common denominator of x and 22/27. 270 What is the common denominator of -83/20 and (9844/506)/(5/(10/(-16)))? 220 Find the common denominator of -19/15 and (165/12 - -3)/((-205)/(-82)). 30 Calculate the common denominator of ((-1)/4)/(2/268) and -9 - (9 - 1308/72). 6 Let c be (((-30)/4)/(-3))/((-18)/180). What is the smallest common multiple of 51/5 - ((-30)/c - 1) and 4? 20 Suppose 10*f - 14*f = -3*b + 272, 5*b + f = 415. Calculate the least common multiple of b and 60. 420 Let h(q) be the first derivative of q**3/3 + 3*q**2 - 7*q - 1. Let d be h(-5). Calculate the smallest common multiple of 5 and (d - -9)*(-8)/3. 40 Let j = 105087 - 42034719/400. What is the common denominator of -81/50 and j? 400 Let l = 1 - -1. Let b be 3 + 0*(-2)/4. Suppose -2*s + b + 5 = 0. What is the smallest common multiple of s and l? 4 Find the common denominator of -123/40 and ((-1133)/264 - -4)*(-1 + -3). 120 Let d be (4 + -5)/(5937/6). Let l = 100915/13853 - d. What is the common denominator of -91/2 and l? 14 Let n = 158593/20 - 7935. Calculate the common denominator of n and -97/12. 60 What is the common denominator of (44/(-32))/(-1) - 4 and -109/22? 88 Let r(f) = 10*f + 25. Let c be r(4). Let t = 70 - c. Calculate the lowest common multiple of 14 and t. 70 Let r = 54283 + -3474181/64. Calculate the common denominator of 97/20 and r. 320 Let f be (-31)/2 + 17/34. What is the common denominator of -47/12 and 9/f + (-1924)/(-40)? 12 Suppose 0 = -7*u + 5*u + 148. Let v = -62 + u. Calculate the least common multiple of v and 7 + -1 + -2 + 2. 12 Let w(b) = -b**2 + 52*b + 1. Suppose -r - 3 = 2*v + 1, -4*v = -4*r + 8. What is the smallest common multiple of w(52) and -1 - -1 - (v + 1)? 1 Calculate the least common multiple of (-8 - (-19 + -4)) + 1 + 0 and 72. 144 What is the common denominator of ((-46)/483)/(8/642) and -55/26? 182 Let b = -2063 - -8321/4. Calculate the common denominator of b and ((-2)/24)/(1/46). 12 Let z(c) be the first derivative of c**3/3 + 4*c**2 + 11*c + 23. What is the least common multiple of 20 and z(-9)? 20 Suppose x - 8*u + 5*u = 50, 125 = 3*x - 4*u. Calculate the lowest common multiple of 55 and x. 385 What is the lowest common multiple of (-32)/(-14) + 4/(-14) and 56? 56 Suppose -3*o = 1 + 2. Suppose 0 = -g + 3*b + 7, 3*g - 13 = b - 0*b. Calculate the lowest common multiple of g and (-6)/(-1)*o/(-3). 4 Let f(k) = -k**2 - 5*k + 2. Let o be f(-6). Let v be (-26)/o + 4/(-8). Let d(c) = 3*c - 7. What is the least common multiple of 10 and d(v)? 110 Let k = -1170103 - -5146627. Let o be -3 + (k/58352)/9. Let p = o - 1/2084. Find the common denominator of 41/9 and p. 63 Let l = 65665/177 + 18443251/2478. Let z = -7818 + l. Calculate the common denominator of 27/10 and z. 70 Suppose -1 = -a + 11. Calculate the lowest common multiple of ((-16)/4)/((1 - -1)/(-4)) and a. 24 Let k = 30597 + -1958295/64. What is the common denominator of k and 151/6? 192 Suppose -20 = -2*x - 2*a, 5*a + 12 = 3*x - 18. What is the smallest common multiple of (2/(12/(-3)))/(12/(-576)) and x? 120 Let j(g) = -g**2 + 1. Let c be j(1). Let p = -2 + c. Find the common denominator of -101/10 and (-1)/(-3)*147/p. 10 Suppose l - 50 = -5*t, l + 0*l - 2*t - 64 = 0. Let i = -16 + l. Find the common denominator of -1/26 and (2254/i)/7 - 3. 286 Let d = -166168/21 - -7910. What is the common denominator of 71/8 and d? 168 Let q(c) = -c**3 + 17*c**2 + 19*c + 24. Calculate the smallest common multiple of q(18) and 84. 84 Let n(z) = -8*z**2 + 4*z - 1. Let p be n(-3). Let h = 1951/23 + p. Let m = h + 1189/92. Calculate the common denominator of m and -32/5. 20 Let q(b) = -b**3 + 15*b**2 + 6*b - 64. Let n be (-2)/6 + 22/3. What is the lowest common multiple of n - 2*3/(-6) and q(15)? 104 Let a(r) = r**3 + 34*r**2 + 13*r + 451. What is the lowest common multiple of 97 and a(-34)? 873 Suppose -2*y + 0*y = -l - 54, 0 = -2*l - 4. Let v(c) = 2*c**2 - 4*c - 7. Let k be v(-2). Calculate the least common multiple of y and (k/(-1))/((-1)/2). 234 Let j(r) be the second derivative of r**4/12 + 5*r**3/3 + 11*r**2/2 + 4*r. Let y be j(-11). Let a = -16 + y. Calculate the lowest common multiple of a and 6. 6 Find the common denominator of (6111/189)/(380/(-6)) and 101/50. 950 Suppose -5*j + 0 = -2*r + 9, 32 = 4*r + 4*j. What is the lowest common multiple of r and 1? 7 Let p = -20178584615789/34264786380 + 2/259581715. Let z = p - -2363/4. What is the common denominator of z and -29/21? 231 Find the common denominator of 55/112 and (-143)/70 + (5 - 4 - 0). 560 Let q = 3/4 + -19/12. Find the common denominator of q and 91/46. 138 Suppose 0 = -k + 2*k - 14. What is the least common multiple of 16 and k? 112 Let x = 7001/6 - 1173. Calculate the common denominator of (-372)/(-10)*(150/48 - 3) and x. 60 Suppose -28*q + 24*q = -12. Suppose -b + 5*v = 6, 4*v - 3 = q*v. What is the least common multiple of b and 3? 9 Suppose -45 = -6*x + 27. Suppose -100 = -x*o + 7*o. What is the smallest common multiple of 14 and o? 140 Let h be ((-6)/34)/((-6)/116). Let s = -16377/68 - h. Let n = 246 + s. What is the common denominator of n and -9/16? 16 Suppose 161 = 3*a - 5*b, a + 223 = 6*a + 3*b. Suppose 0 = -5*j - 4*y + a, 3*j + 0*j = 5*y + 43. Calculate the lowest common multiple of 8 and j. 88 Let z(b) = b**3 + 7*b**2 - 2*b + 6. Suppose -3*a - 14 = -a. Let g be z(a). Find the common denominator of -145/18 and (-17)/g + (5 - 3). 180 Let b = 691/3 - 3055/12. Find the common denominator of -11/130 and b. 260 Suppose -80 = -5*r + 3*g - 8*g, 0 = 2*r - g - 35. Cal
{ "pile_set_name": "DM Mathematics" }
d -0.015024. 4.984976 Work out -0.1 - -0.0061. -0.0939 Work out -400.69 - 178. -578.69 Total of 3 and 477.8. 480.8 Calculate 11.973 + 916. 927.973 What is 3.0333 plus 0.15? 3.1833 Calculate 12 + 3653. 3665 Add together 31501 and -1. 31500 Add together 0.039 and -75. -74.961 What is 1476.97 plus 0.4? 1477.37 What is 0.4 less than 0.0935? -0.3065 What is -14 take away -908? 894 Total of 85 and 114. 199 What is the difference between 225 and 4362? 4137 -1 - 0.351 -1.351 Subtract 10 from 305. 295 What is 0.05 minus -28678? 28678.05 Work out 3842 + 29.1. 3871.1 Total of 1.0318 and 2. 3.0318 What is the distance between 0.1 and 58366? 58365.9 Work out 0.6 - -2111319. 2111319.6 What is -1875 take away -107.1? -1767.9 Work out -22.206 + 113. 90.794 What is -149 - 0.0281? -149.0281 198691+-4 198687 Calculate -2080 - -20. -2060 What is 2566 minus -154? 2720 0.6 - -340 340.6 -0.08 - 0.061397 -0.141397 Put together -176 and 6638. 6462 What is the distance between 0.02 and 229779? 229778.98 What is 5006 less than -5? -5011 What is -13 less than -3095? -3082 Subtract 0.06 from 3548. 3547.94 What is -0.4 plus 2.32? 1.92 Add 0.180865 and 3. 3.180865 Work out -0.1826 + 31. 30.8174 What is the difference between 1.3 and -2657? 2658.3 Subtract -0.4 from 0.26. 0.66 Add together 3 and -15.76. -12.76 Total of -4733 and 0.5. -4732.5 What is the difference between -0.4 and -1.72? 1.32 Work out -313128 - 5. -313133 Add 0.5 and -11911. -11910.5 What is the distance between 38.2 and -126? 164.2 Add -0.5 and -613. -613.5 Sum -15321 and -0.4. -15321.4 What is -1829 - -635? -1194 Add 0.38 and -1.7. -1.32 Subtract -1.55 from -0.020113. 1.529887 What is -48 - -0.0666? -47.9334 Add together 4 and 21270. 21274 What is the difference between -1 and -7423? 7422 What is -56 less than -8? 48 -12.8 - -53 40.2 What is -8875 take away 0? -8875 What is 169270 less than 3.5? -169266.5 What is 0.07 - 87.2? -87.13 What is -0.3 - -94448? 94447.7 Add 11 and -0.04. 10.96 What is the difference between 27.3 and 0.07? 27.23 Total of -598 and -7. -605 What is 0.4 minus 17094? -17093.6 What is the distance between -0.2 and -3659.4? 3659.2 -518 - 0.616 -518.616 What is -6 less than 982? 988 Total of -0.4 and 40255. 40254.6 Add together -0.2 and -144. -144.2 Add together 0.37 and 529.8. 530.17 Calculate -0.4 + 1851017. 1851016.6 Add 0.32729 and -0.14. 0.18729 Work out -0.1 - -8312. 8311.9 Calculate 118 - 551. -433 Add 4 and 5.53. 9.53 What is -0.45 plus 0.109? -0.341 Calculate -156 + 107. -49 Work out -15.8684 - 0.05. -15.9184 Sum -10 and 821. 811 Put together -18.232 and -229. -247.232 What is the distance between -0.5 and -110243? 110242.5 What is -0.4 plus -114493? -114493.4 1.7 - 0.0812 1.6188 What is -0.2 take away 46370? -46370.2 Calculate -4910 - -0.51. -4909.49 Add together -15.68 and -0.3. -15.98 0.0297 + -1.99 -1.9603 6066+0.4 6066.4 What is 8216 - -0.4? 8216.4 What is 567 minus 13? 554 What is 0.05 + 1.247? 1.297 Work out 777 - -53. 830 0.5+-184 -183.5 What is -2 take away 108.5? -110.5 What is -27.9 plus 3? -24.9 Total of -76176 and -3. -76179 7.61884+10 17.61884 9 - 1356 -1347 What is -2526 + -1.8? -2527.8 What is 0.2 less than -543369? -543369.2 What is -601 take away 238? -839 Calculate 1.6 - -84. 85.6 Work out -61 - 21.2. -82.2 Put together 4 and -10.23. -6.23 59838+0.1 59838.1 Total of -0.2 and 116506. 116505.8 Calculate 154161 + 13. 154174 Subtract 0.3 from 18214.5. 18214.2 What is 1759 minus 0.2? 1758.8 Total of 17 and -99. -82 -605+3 -602 Total of -0.2 and 8.045. 7.845 What is 212 take away 0.9463? 211.0537 -781+3 -778 Work out 175.8 - -2.8. 178.6 Calculate -0.16342 + -0.06. -0.22342 Work out 7 - 335. -328 0.03187 + -0.2 -0.16813 What is -0.4 - -0.3178413? -0.0821587 Add together 44.9 and 8. 52.9 Work out -155.2 + 12. -143.2 What is -0.58 less than -0.1269? 0.4531 -4 - -52 48 Work out 5 + -37.91. -32.91 What is 0.4 less than -0.347? -0.747 Subtract -0.03 from 0.094. 0.124 What is -8746 take away -0.2? -8745.8 Calculate -0.1 - -35. 34.9 1505 + 2.5 1507.5 326.39 + -4 322.39 Work out 4 - -1.868. 5.868 Work out -0.1843 - 27. -27.1843 3 + -0.979 2.021 What is 24.8 plus -6? 18.8 -1252 + 2 -1250 Put together 0.922 and 0.5. 1.422 Add together 0.013 and 0.01. 0.023 What is the difference between -49 and 10440? 10489 Add -0.21 and -1.34. -1.55 Put together -105 and 2434. 2329 What is the distance between -62.5 and -0.12? 62.38 What is 767270 - -2? 767272 Calculate -0.5 - 1341.98. -1342.48 -1.1 - 1047 -1048.1 -2+-2.773 -4.773 Work out -0.1 + -25.69. -25.79 What is 0.2 + -17? -16.8 Put together 646 and 17. 663 -8 - -122 114 What is 10247 plus -4? 10243 What is -109 minus 0.08? -109.08 What is -0.23 minus -31805? 31804.77 Add together 2 and -638. -636 Add together 320 and -1.174. 318.826 Calculate -1 + 4.73. 3.73 Add 8 and -3. 5 What is -139 - -82? -57 Add together 0.5816 and 0.1849. 0.7665 Put together 5 and -892. -887 Calculate -81 + 3.2. -77.8 Add together 75.062 and -3. 72.062 Put together 317.45 and -0.4. 317.05 Add together 3.1 and -7.42. -4.32 -0.05 + 0.2491 0.1991 What is 1.29108 plus -5? -3.70892 Work out 4139 - -9. 4148 Subtract -3.1 from -54. -50.9 What is -1 minus 1370065? -1370066 What is 0.45059 minus 1? -0.54941 Subtract 0.3133 from -83. -83.3133 Work out -4 - 0.394. -4.394 Total of -817 and -1330.2. -2147.2 What is the distance between -4928 and 0.033? 4928.033 -1486060 + -0.03 -1486060.03 What is -0.5136 less than -81? -80.4864 What is -487 plus -3? -490 Sum -2 and -25867. -25869 Subtract -22 from -0.03. 21.97 What is 2.15 take away 26? -23.85 Put together 168 and -1.38. 166.62 -5 - 18 -23 Calculate 0 - 3437. -3437 -5 + -567 -572 What is 0.9 - -5.23? 6.13 22833 + -5 22828 What is 11437 + 0.4? 11437.4 125 - 2.772 122.228 What is -68 - 0.011? -68.011 Subtract -2823.3 from 5. 2828.3 583 - -1 584 What is 0.142 take away 116? -115.858 Calculate -15 - 0.4. -15.4 What is -0.4 + 9219.8? 9219.4 Put together 88.9 and 331. 419.9 What is 1.2 less than 0.4? -0.8 0.2+-21623 -21622.8 What is the distance between -0.5 and -216589? 216588.5 What is -226 take away -0.196? -225.804 Add together -220 and 20. -200 Add together -10314 and -0.3. -10314.3 Put together -2.4 and -117.735. -120.135 0.5 + -5575 -5574.5 Sum -1247 and -0.07. -1247.07 Work out 1 + -0.206. 0.794 What is the distance between 5881 and -0.2? 5881.2 Calculate 6 - 657. -651 Subtract -172 from 1644.1. 1816.1 Work out -0.08579 - 0.8. -0.88579 What is -14626 + -4? -14630 Put together 0.07 and -122.145. -122.075 What is -5 + 165? 160 Work out -2 - -54791. 54789 What is 71 + -3.4? 67.6 Add -10225 and 0.0269. -10224.9731 Calculate 0.03622 - 0.5. -0.46378 Sum -2.1 and 2.2. 0.1 Add together -0.07981 and 5. 4.92019 Add -0.3 and -1805. -1805.3 Sum -39934 and 5. -39929 What is -0.00651 minus 0.2? -0.20651 Put together 30960 and 0.04. 30960.04 -0.039 - -0.13 0.091 What is 10.0516 plus -0.4? 9.6516 What is 2 less than -57.824? -59.824 What is -0.88 minus 0.57? -1.45 What is 514 minus -103.7? 617.7 What is -4306.8 take away 0.04? -4306.84 What is -42.6 take away -2? -40.6 -9+-1236 -1245 Work out -0.033393 - 5. -5.033393 Add 86.5 and 0. 86.5 What is 0.4 minus -6198? 6198.4 Subtract 6 from -0.046371. -6.046371 Calculate -0.417 + -1. -1.417 142 + 6 148 314593 - -6 314599 What is the distance between -10 and 853? 863 -4.1 - 11112 -11116.1 Work out 35 - 43. -8 What is -3.29 minus -0.4? -2.89 What is -0.863 minus -0.8? -0.063 -342 + -0.1 -342.1 Subtract 1 from -1249006. -1249007 0.2 - -4.61 4.81 Add together 5.9 and -28600. -28594.1 -0.04 - -31 30.96 Subtract 39.6 from 0.1263. -39.4737 What is -51.9 take away 324? -375.9 81.777 + 0.5 82.277 Add together 8.913 and 0.4. 9.313 Add -6 and 0.779135. -5.220865 Work out -0.3 - 1158591. -1158591.3 Sum 521 and 9. 530 Work out 0.5211 + -1. -0.4789 -0.5+45.97 45.47 What is -4 take away -51871? 51867 What is the difference between 15 and 13? 2 Subtract -326 from 884. 1210 Calculate -4936 - 0.4. -4936.4 Work out -0.71 - -7.6. 6.89 What is 5 plus -21770? -21765 50.449 - -0.12 50.569 Calculate 528616 - -0.4. 528616.4 Total of -0.2 and -13213. -13213.2 What is 41 plus -1820? -1779 Calculate -216616 - 1. -216617 What is the distance between 0.44 and 2.0464? 1.6064 Calculate -42807 - -2. -42805 Add -0.006 an
{ "pile_set_name": "DM Mathematics" }
ighest common factor of d and l? 9 Let z(v) = 40*v + 1036. Let t be z(-25). What is the greatest common factor of t and 236? 4 Suppose 25 = 4*u + u + 5*c, c - 35 = -4*u. Suppose -l - w + 86 = 0, 4*w = 48*l - 47*l - 56. What is the highest common divisor of l and u? 10 Let f be 2/(-3) + 86/3. Let u(h) = h**3 - 14*h**2 - 2*h + 14. Let d be u(6). Let r = -258 - d. What is the highest common factor of r and f? 28 Let u be (-6)/(-21) + ((-1774)/(-14) - 7). What is the greatest common divisor of u and 10760? 40 Suppose -308 = -t - 2*d + 219, t = -4*d + 515. Calculate the highest common factor of t and 176. 11 Suppose 3*i = -438 - 342. Let z = i - -352. What is the highest common divisor of z and 92? 92 Let t = -104 - -65. Let n be ((-208)/(-12)*t)/(-2). Calculate the greatest common factor of 26 and n. 26 Let u(x) be the second derivative of -x**5/10 - 5*x**4/3 + 7*x**3/2 + x**2/2 + 95*x. Let i be u(-11). What is the highest common factor of i and 12? 12 Let t(a) = 6*a + 82. Let k be t(-13). Suppose -k*p - 2*v + 229 = -v, -v + 173 = 3*p. Calculate the greatest common divisor of p and 16. 8 Let k(j) be the first derivative of -2*j - 1/2*j**2 - 8 + 1/4*j**4 + 17/3*j**3. Let m be k(-17). What is the highest common factor of m and 120? 15 Let x(t) = -2*t**2 - 60*t + 108. Let l be x(-31). Suppose 3*h - 97 = -l. What is the greatest common factor of h and 187? 17 Let h(z) = -109*z + 4. Let q be h(-2). Let b = -158 + q. Calculate the greatest common divisor of 112 and b. 16 Let w(f) = 223*f**3 + 1. Let b be w(1). Suppose -141*m + 174323 = 58562. Suppose 0 = -5*n + m + b. What is the greatest common divisor of n and 19? 19 Suppose -u - 19 = 14. Let t = 93 + u. Let g = 1531 + -1519. What is the highest common factor of g and t? 12 Suppose -3*l = -16 - 2. Suppose -l*i = -3*i - 36. Let d = 3612 + -3608. What is the greatest common factor of i and d? 4 Suppose 210355 = 321*t - 366803. What is the highest common factor of t and 310? 62 Let m(q) = -q**3 + 8*q**2 - 6*q + 7. Let t be m(7). Let f be (-7)/(98/(-690)) - 4/t. Calculate the highest common divisor of 14 and f. 7 Suppose 0*t - m = -5*t + 687, 0 = -t + 4*m + 126. Let l = 47 + -1. Calculate the greatest common factor of t and l. 46 Suppose -695*i + 650*i = -151740. What is the highest common factor of i and 12? 12 Suppose -33*q = 7*q - 14320. Let r = 388 - q. Calculate the highest common divisor of 10 and r. 10 Let p = 18952 - 18636. Suppose x + 4*q = 206, 2*x = -5*q - 75 + 493. Let t = p - x. Calculate the greatest common divisor of 34 and t. 34 Let k = 39549 - 39365. Let p(z) = z**2 + z + 3. Let v be p(-5). Calculate the highest common factor of v and k. 23 Let t be (2/(-3))/((-20)/30) + -3. Let c be t/(-10) - (-24)/5. Suppose 22 = f + c. What is the highest common factor of 17 and f? 17 Let q = -5049 + 5098. What is the greatest common divisor of 2401 and q? 49 Let s(j) = -j**3 - 12*j**2 - 4*j - 13. Let r be s(-13). Let t = r + -34. What is the highest common divisor of t and 12? 6 Let v = -1 - -4. Let f = 1519 + -1517. Suppose -2*o = n - 13, -f*n = -v*o + n + 33. What is the highest common factor of 8 and o? 8 Let j be ((-2 - -1017) + -5)/(1/(140/8)). Calculate the highest common factor of j and 105. 35 Let s = 195 + -26. Let u = 95 + s. What is the highest common factor of u and 24? 24 Let t = 898 + -987. Suppose -4*q + 270 = -2*z, 3*z + 2*z - 2*q = -683. Let d = t - z. Calculate the greatest common factor of d and 3. 3 Let b = -82 + 118. Suppose 78 - 1678 = -10*v + 320. What is the highest common factor of b and v? 12 Let w(m) = 41*m**2 + 130*m - 976. Let v be w(6). Calculate the greatest common factor of v and 60. 20 Suppose -3*d + 27 = -5*b - 10, 5*b + 29 = d. Let w(p) = 7*p**3 - 22*p**2 + 11*p - 5. Let c be w(d). What is the highest common divisor of c and 30? 15 Let m = 1940 + -933. Suppose 756*u + 291*u - 18292 - 1601 = 0. What is the highest common divisor of m and u? 19 Let b be (-2640)/(-231)*(-651)/(-6). Calculate the greatest common divisor of b and 200. 40 Let c = 162 - 158. Suppose 4*v - 248 = -3*o, 3*v + c*o - 58 = 121. Calculate the highest common divisor of 715 and v. 65 Suppose 0 = 4*q + 5*q - 4186 + 667. What is the highest common factor of 374 and q? 17 Suppose 1118 = -4*u + 2*b + 2106, -5*b + 446 = 2*u. Calculate the highest common divisor of u and 63. 9 Suppose 15*q - 14*q - 159 = 0. Let i = q - 143. Calculate the highest common divisor of 208 and i. 16 Let p(k) = -k**2 - 15*k + 18. Let w be p(-16). Suppose -92 = b + 3*a, -3*a - 20 = w*a. Let o = b + 96. Calculate the greatest common factor of 32 and o. 16 Suppose 26*b - 8815 + 1192 = -7*b. What is the greatest common factor of b and 385? 77 Let u(g) = -g - 11. Let l be u(3). Let d be l/10*(-20)/4. Suppose 5*m + 40 = 4*k, 2*m - 45 = -5*k + d*m. What is the greatest common factor of 4 and k? 1 Let y be 1456/72 - 4/18. Let c be ((-4)/((-12)/15))/(y/100). Calculate the highest common factor of 15 and c. 5 Let p(v) = 2*v**3 - 4*v + 4. Suppose 10 = 3*y + 4*b, 7*y - 6*b + 8*b = 16. Let u be p(y). Calculate the highest common divisor of u and 64. 4 Let h(i) be the second derivative of 0 + 5*i - 7*i**2 - 7/3*i**3. Let s be h(-3). What is the greatest common factor of 252 and s? 28 Let a(c) = 81*c - 16. Let v be a(2). Let i be (v*5/(-30))/(5/(-60)). Calculate the greatest common factor of 4 and i. 4 Suppose 315 = 24*i + 4*i - 7*i. What is the highest common factor of i and 393? 3 Suppose -3*j = -0*j - 16 - 20. Calculate the highest common divisor of 256 and j. 4 Let s be 9*(-3)/(-9)*-43. Let w = 137 + s. Let p be 32 + 2 - w/(-20)*-5. What is the highest common factor of p and 80? 16 Suppose 7*z - 9*z = 4*y - 1202, -z + 631 = -4*y. What is the greatest common factor of 13 and z? 13 Suppose -2 = 2*j, 894 = 2*f + 3*j - 651. Suppose 9*m - 4 = 158. Calculate the greatest common factor of f and m. 18 Let l = 5374 + -5086. What is the highest common divisor of 224 and l? 32 Suppose 5*u = 5*d + 555, 0 = -2*u + 165*d - 161*d + 224. Calculate the greatest common factor of 704 and u. 22 Suppose 0 = 71*r - 120*r + 4606. Calculate the highest common factor of 6674 and r. 94 Let l(x) = -16*x - 3. Let v(y) = y + 1. Let z(p) = l(p) + 3*v(p). Let k be z(-4). What is the greatest common factor of 312 and k? 52 Suppose -3743 = -17*b - 3267. What is the greatest common factor of b and 7140? 28 Suppose 2*z + 0*r = 4*r + 48, -4*z + 118 = 3*r. Let u be (-135139)/(-603) + (-4)/36. Calculate the greatest common divisor of u and z. 28 Let l(g) = 2*g + g - 2*g + 3*g**2 - 134*g**3 - 1. Let r be l(-1). Let q be 7/((-126)/(-153)) + (-1)/(-2). Calculate the greatest common divisor of r and q. 9 Suppose 0 = -2*x - 2*s + 154, 2*s - 1331 = -x - 1251. What is the greatest common divisor of x and 52022? 74 Let i = 1934 + -1928. Let n(o) = o**2 - o. Let f be n(2). What is the highest common factor of i and f? 2 Let i(a) = -18*a + 6. Let q be i(4). Let g = q - -339. What is the highest common factor of g and 21? 21 Let r = -7593 + 8970. What is the highest common divisor of r and 85? 17 Let x be (-2)/(-4)*0*2/4. Suppose x = 5*g - 26 - 54. Suppose -14*l = -g*l + 30. Calculate the greatest common factor of 10 and l. 5 Let i be 100/2*364/(-65). Let k = 728 + i. What is the greatest common divisor of k and 28? 28 Suppose 15*v = 22*v + 462. Let d be (-1662)/v + 2/(-11). What is the highest common factor of 10 and d? 5 Let r(x) = 8*x - 4. Let v be 10/11 - 5/(-55). Let n be r(v). Suppose -n*z + 1068 = 220. Calculate the highest common divisor of z and 53. 53 Let f be 0*(14/(-6) - -2). Suppose 5*m - 2*m + 4*u - 675 = 0, f = 3*m - 5*u - 648. Calculate the highest common factor of 34 and m. 17 Suppose 0 = -12*w + 3709 + 9887. Calculate the highest common factor of 22 and w. 11 Let i = 1027 + -1023. Suppose 5*r - 580 = 3*r - 5*k, i*k = 5*r - 1516. Calculate the greatest common factor of r and 18. 6 Let v = 2852 + -2804. Let i = -1 - -4. Suppose 4*a = i*y + 51, -5*y + y = -a + 16. What is the greatest common divisor of v and a? 12 Suppose 11*k + 80 - 1312 = 0. What is the greatest common factor of k and 49? 7 Let n(r) = -463*r + 5. Let u be n(-1). Let t be -3 + 0 + u/3 - -2. Calculate the highest common factor of t and 31. 31 Let b be 7*((-88)/(-77) + -4)*291/(-15). Calculate the grea
{ "pile_set_name": "DM Mathematics" }
c) = -c**2 + 5*c + 4. Let g be (-4)/26 + 1440/234. What is t(g)? -2 Let h be (-5)/(4 - 186/46). Suppose 4*j + 4*r = 220, -2*j + 3*r = 4*r - h. Let z(w) = -3*w - j + 4*w + 51. What is z(0)? -9 Let x = 5 + -4. Suppose 2*z = -y - 3*z, 5*y - 4*z - 29 = 0. Let g(q) = y*q - 9*q + 7*q. Give g(x). 3 Let c = 7 - 11. Let q(d) = -2*d**3 - 3*d - 5. Let o(j) = 3*j**3 - j**2 + 6*j + 8. Let i(z) = 3*o(z) + 5*q(z). What is i(c)? 3 Let b(c) = -c - 12. Suppose -3*d + 7*d = 0. Let u be d*3/(-6) + -7. Give b(u). -5 Let l(q) = 5*q**2 + 17*q + 26. Let m(g) = 6*g**2 + 18*g + 27. Let k(c) = 7*l(c) - 6*m(c). Determine k(13). -6 Let x(v) = v**3 - 5*v**2 - 5*v - 1. Let o(j) = 5*j + 1. Let r be (-8)/(-32) + 7/4. Suppose h - r*b = 3*b + 21, 4*b = -4*h - 12. Let p be o(h). What is x(p)? 5 Let g be ((-6)/10)/(12/(-60)). Let z(o) = -o**2 + 4. Determine z(g). -5 Let w(r) be the third derivative of 0*r - 1/60*r**5 - 31*r**2 + 1/6*r**3 + 1/3*r**4 + 0. Calculate w(6). 13 Suppose -z - 5*h + 18 = -2*z, 4*z = -4*h + 24. Let k(y) = 8*y**z + 4*y**3 - 3*y + 2*y - 5*y**3 - 4*y - 1. Determine k(7). 13 Let x be ((-3)/(-4) - 4)/(2/(-8)). Let p(t) = -13 - t**3 - x + 27 - 6*t + 7*t**2. Give p(4). 25 Suppose 655*q - 661*q + 30 = 0. Let f(r) = -6*r**3 - r**2 + 5*r + 3. Let z(v) = 5*v**3 - 5*v - 2. Let h(y) = -4*f(y) - 5*z(y). Determine h(q). -2 Let o = 139 + -136. Let z(t) = -4*t + 2 + 4 + 2*t**2 + 1 - o*t**2. Calculate z(-6). -5 Suppose -2*t - 5 + 13 = 0. Suppose -2*k = -0 - t. Let l(m) = 0*m**3 + 0*m - 2*m**2 + 9*m**k + 8 + 8*m + m**3. Determine l(-6). -4 Let a(q) be the third derivative of -q**6/120 + q**5/12 + q**4/12 - 2*q**3/3 - 99*q**2. Calculate a(5). 6 Let s(x) = x**3 + 9*x**2 + 16*x + 23. Let a(l) = l**3 + 9*l**2 + 16*l + 28. Let j(k) = 3*a(k) - 4*s(k). What is j(-7)? 6 Let k(d) = -d**3 - 17*d**2 - 17*d - 18. Let r be k(-16). Let c(y) be the second derivative of -y**3/2 + 5*y. What is c(r)? 6 Let f be (4/12)/((-2)/(-12)). Let j(v) = -2*v + v**3 - 4*v**2 + 3*v**f - 5 + 1. Give j(3). 8 Let a(f) = 321 - 164 - 161 + f. Let j = -4 + 4. Calculate a(j). -4 Let t = -359 + 353. Let b(k) = 2*k**2 + 4*k**2 - 2*k - k - 9 + k**3. Calculate b(t). 9 Suppose -5*n - 30 = -2*v, 0 = -2*v + 4*v + 3*n + 2. Let j(p) = -13. Let i(k) = k - 15. Let f(d) = v*i(d) - 6*j(d). Give f(4). 23 Let j(c) = c - 8. Suppose -2*m - 4*p = m - 59, -5*m - 4*p = -109. Let d = m - 18. Calculate j(d). -1 Let o(n) = -2 + n**3 - 17*n - n**3 - 20*n**2 - 7 + 2*n**3 + 19*n. What is o(10)? 11 Let d(f) = -f**3 - 14*f**2 + 16*f + 19. Suppose -3*k = 5*q + k + 63, -2*q - 36 = -2*k. What is d(q)? 4 Let w(u) = -11*u + 86. Let t be w(8). Let l(n) be the second derivative of n**5/20 + n**2 - 9*n. Determine l(t). -6 Suppose -1 = q + 7. Let h(n) = 11*n**3 + 19*n**2 + 18*n - 10. Let u(z) = 13*z**3 + 21*z**2 + 20*z - 10. Let t(f) = -6*h(f) + 5*u(f). What is t(q)? 10 Suppose 4*p - 8*p = -4, -4*a + 7 = -p. Let c(b) = b**2 - b - 1. What is c(a)? 1 Suppose -s + 5*s = 16. Let n(w) = 5*w**3 + 2*w**2 + 4*w + 1. Let l(i) = -4*i**3 - 3*i**2 - 4*i. Let u(h) = s*l(h) + 3*n(h). Calculate u(-5). -2 Suppose k = -3*n - 12, 0 = -k - 5*n - 12 - 6. Let l(m) = 5*m + 2. Determine l(k). -13 Let a(t) = t**3 - 4*t**2 + 4. Suppose 7*x - 4*x = -q + 37, -q + 1 = 0. Suppose 2*y + 0*y + 4 = s, 3*s + 3*y - x = 0. Let m be (s - 1)/(2/2). What is a(m)? -5 Let m(j) = 5*j - 40. Let k(v) = 2*v - 7. Let w(h) = -3*k(h) + m(h). Calculate w(8). -27 Suppose 0*y + 6 = 3*y. Let h(j) = 4*j**2 - 7*j - 5. Let d(l) = 5*l**2 - 8*l - 6. Suppose 4*x + 38 = 14. Let q(i) = x*h(i) + 5*d(i). What is q(y)? 8 Suppose -g - 5*l + 17 = -5*g, -2*l = 4*g - 18. Suppose g*h = -v - 10, -3*h + 4 - 12 = -2*v. Let o(p) = p**3 - p**2 - p. Give o(v). -10 Let l(t) = -8*t**2 + 26*t + 18. Let u(k) = 3*k**2 - 13*k - 10. Let r(w) = -2*l(w) - 5*u(w). Give r(-12). 2 Let l = 1520 + -1508. Let b(j) = j**2 - 13*j - 15. Calculate b(l). -27 Let h(p) = -4*p - 21. Let w(d) = -d**3 - 6*d**2 - 9*d - 29. Let u be w(-5). Give h(u). 15 Let n(f) be the first derivative of -17*f**2/2 + 3*f + 76. What is n(2)? -31 Suppose -37*z + 22 = -48*z. Let b(t) = -t**3 - 4*t**2 - 3*t - 1. What is b(z)? -3 Let u(a) = -14*a + 119 - 126 + 12*a. What is u(-9)? 11 Let g(t) = t**2 + 5*t + 1. Suppose -4*a + 14 = 2*h - 10, 19 = -3*h + 5*a. Let u = -4 + h. Calculate g(u). -5 Let a be (-715)/25 - 4/10. Let l = 28 + a. Let p(g) = -6 + g**2 + 6. What is p(l)? 1 Let z(o) = 2 - 3 - o + 3*o - 3*o**2. Let g = 230 + -102. Let s = -127 + g. Give z(s). -2 Let d(z) = -z**2 - 5*z - 4. Let f be d(-3). Let x be (8 - (-2 + 4))/f. Let l(w) be the first derivative of -w**4/4 + 2*w**3/3 + w**2 + 6. Determine l(x). -3 Suppose -75 = 2*l - 4*l - 5*o, l - o - 27 = 0. Suppose -2*p - p + 4*d = -35, l = 5*p - d. Let k(u) = u**3 - 5*u**2 + 2. Calculate k(p). 2 Let f(p) = 2 - p**3 - 3*p**2 - 2*p**3 + 0*p**2. Suppose 0 = -5*r - 3 - 14 + 7. Determine f(r). 14 Let c(j) be the third derivative of j**5/60 + j**4/12 - 5*j**3/6 - 21*j**2. Let z be c(0). Let x(r) = r. Determine x(z). -5 Let j(l) = l**2 - 3*l + 1. Let t be (84/(-18) + 5)*15. Calculate j(t). 11 Let y(i) be the third derivative of -i**6/360 + i**5/120 - 5*i**4/8 + 35*i**3/6 - 28*i**2. Let d(x) be the first derivative of y(x). Calculate d(0). -15 Let w(k) = k - 4. Let j be ((-70)/15)/((-2)/3). Calculate w(j). 3 Let k(g) = g + 3. Suppose 0 = 2*u + 2, 4*i - 84 = -3*u - u. Let p = -22 + i. Calculate k(p). 3 Let l(r) = 23*r + 3. Let u(p) = 6*p + 1. Let v(q) = l(q) - 4*u(q). Determine v(-6). 5 Let v be (-5)/(40/16)*-1. Let u(w) = -w**3 + 4*w**2 - 2*w + 3. Give u(v). 7 Let r(h) be the second derivative of 4*h + 2*h**2 - h**3 - h**2 - 2*h + 2*h**3. Let d(s) = -2*s - 36. Let n be d(-19). Determine r(n). 14 Suppose 2*q - 5*a = -4, 4*a - 3*a = 5*q + 10. Let d(h) = 1. Suppose 0 = 2*k + 5 - 1. Let w(s) = 5*s - 2. Let z(m) = k*d(m) - w(m). Calculate z(q). 10 Suppose 3*u - 71 = 2*u. Let y(t) = 3*t + 71 - u. Give y(-1). -3 Let b be (-6)/(-9) + 11/(99/(-204)). Let f(p) = p**3 + 23*p**2 + 22*p - 3. Give f(b). -3 Let j(l) be the third derivative of -l**5/60 - l**4/24 + l**3/6 - 356*l**2 + 2. Calculate j(-3). -5 Let v be 11/6 + (-16)/(-96). Let x(h) = h + 1. Give x(v). 3 Let x(p) be the third derivative of 0*p - 4/3*p**3 + 1/12*p**4 + 0 - 25*p**2. Calculate x(6). 4 Let j(v) = v. Suppose 18*p = 22*p - 8. Suppose -5*n = 4*q - 32, p*n + 0*n + 4 = 4*q. What is j(n)? 4 Let m(z) be the third derivative of z**8/20160 + z**7/1260 - z**6/240 + z**5/12 + 6*z**2. Let c(x) be the third derivative of m(x). Calculate c(3). 18 Let i(p) = 106*p - 108*p + 9*p**2 - 7*p**2. Give i(-2). 12 Let v(c) be the first derivative of -1/2*c**2 - 2 + 7*c. Give v(5). 2 Let m(z) be the first derivative of 7*z + 1/4*z**4 - 3*z**2 + 42 - 2*z**3. Give m(7). 14 Suppose 4*s = 20, 4*p - 11 = 2*p - s. Let r(a) = -23*a. What is r(p)? -69 Let j = 79 + -71. Let n(w) = -j + 0*w**2 + w**2 + 17*w - 10*w. Let d(x) = -x**2 - 4*x + 4. Let f be d(-6). Determine n(f). 0 Let s(u) = 3*u**2 + u + 5. Suppose 0 = 4*d + d - 20. Let p(w) = -w**2 - w. Let c(f) = d*p(f) + s(f). Give c(-4). 1 Let i(v) = 1 - 21*v**2 + 3*v - 24*v**2 + 44*v**2 + 5. Calculate i(6). -12 Let b(s) = s - 5. Suppose -49 = -3*t - 4*t. Suppose -t*y + y = -24. Determine b(y). -1 Let o(n) = 5*n**2 + 5*n + 1. Let m(i) = 29*i**2 + 24*i + 4. Let v(b) = m(b) - 6*o(b). Suppose 0 = 4*l - 5*z + 17 + 22, z = 5*l + 33. What is v(l)? -2 Let z = -39 + 57. Let h(x) = -x**2 - z*x + 3*x + 7*x + 10. Determine h(-9). 1 Let c(a) be the second derivative of 4*a**4/3 - a**3/6 + a**2/2 - 19*a. Let v = -129 + 130. Calculate c(v). 16 Let l(n) = n**3 - 5*n**2 + 6*n - 15. Let d be l(5). Let x(p) = -p**2 + 15*p + 9. Give x(d). 9 Let k(i) = 3. Let h(y) = y + 7. Let x(v) = 4*v + 28. Suppose -a = -0*a - 9. Let p(r) = a*h(r) - 2*x(r). Let b(j) = -5*k(j) + 2*p(j). What is b(1)? 1 Let p = 15 - 15. Let u be 1 + (1 - p) + -2. Let k(q) = -q - 3*q + 0*q + 3*q + 2. Calculate k(u). 2 Let r(k) = -2*k + 6. Let d(c) = -c - 8. Let u be d(-10). Suppose 3*z - 10 = 8*z. Let w be 3/3 - (z - u). What is r(w)? -4 Let t(i) = -30*i - 20. Let h(v) = 13*v + 10. Let x(z) = 7*h(z) + 3*t(z). Give x(-11). -1 Let c(l) = 4*l - 4. Let n = -2 - -4. Let x(a) = n*a**2 + 3 + a**3 + a + 10*a - 12*a. Let s be x(-3). Calculate c(s). -16 Let x(o) be the first derivative of o**4/4 - 4*o**3/
{ "pile_set_name": "DM Mathematics" }
Calculate prob of picking 3 c when three letters picked without replacement from cccccc. 1 Calculate prob of picking 1 b and 2 t when three letters picked without replacement from yjbitlliitlttllit. 1/68 Calculate prob of picking 2 e and 1 m when three letters picked without replacement from {e: 2, m: 1, b: 1}. 1/4 Two letters picked without replacement from iiijvjiijjiv. What is prob of picking 2 v? 1/66 Calculate prob of picking 3 i when three letters picked without replacement from iiiiiiiiiiiiviiiiiii. 17/20 Calculate prob of picking 2 g when two letters picked without replacement from fvfgvfgf. 1/28 Calculate prob of picking 1 n and 1 g when two letters picked without replacement from pnguppugppppp. 1/39 What is prob of picking 1 z, 1 b, and 2 y when four letters picked without replacement from zzbzhzhzbzhzybzhhhz? 0 What is prob of picking 1 f and 1 g when two letters picked without replacement from {g: 2, f: 6}? 3/7 What is prob of picking 1 l, 1 v, and 1 o when three letters picked without replacement from vozlvzlgzjl? 2/55 Four letters picked without replacement from vvvvzvzzvvvvvvv. What is prob of picking 1 z and 3 v? 44/91 What is prob of picking 1 c, 2 l, and 1 r when four letters picked without replacement from {l: 2, r: 11, c: 6}? 11/646 Calculate prob of picking 1 d, 1 b, and 1 f when three letters picked without replacement from {b: 3, f: 2, d: 10}. 12/91 Three letters picked without replacement from {j: 2, q: 1, m: 1, v: 1}. What is prob of picking 1 q and 2 j? 1/10 Four letters picked without replacement from dzcdddnnndcddnzg. What is prob of picking 2 c and 2 z? 1/1820 What is prob of picking 4 i when four letters picked without replacement from aiiiiiiiiiii? 2/3 Two letters picked without replacement from {w: 2, d: 3, j: 3, r: 8}. Give prob of picking 1 r and 1 w. 2/15 Four letters picked without replacement from {o: 1, x: 4, y: 4, c: 6}. Give prob of picking 3 c and 1 o. 4/273 What is prob of picking 4 e when four letters picked without replacement from {e: 4, s: 3}? 1/35 Calculate prob of picking 2 f when two letters picked without replacement from ffmspkmww. 1/36 What is prob of picking 2 r and 1 k when three letters picked without replacement from kkkhrkhhrkh? 1/33 Three letters picked without replacement from {q: 2, z: 8, c: 2}. Give prob of picking 1 c and 2 z. 14/55 What is prob of picking 2 t and 2 f when four letters picked without replacement from ttffttttt? 1/6 What is prob of picking 3 v when three letters picked without replacement from bhvavvbbbahb? 1/220 Two letters picked without replacement from {h: 13, o: 6}. Give prob of picking 1 h and 1 o. 26/57 Three letters picked without replacement from kkknmaka. Give prob of picking 1 m, 1 n, and 1 a. 1/28 What is prob of picking 1 b, 1 f, and 2 x when four letters picked without replacement from bwwxxbwwswbxwxsxf? 3/238 Four letters picked without replacement from mmmqymyyyy. Give prob of picking 1 m and 3 q. 0 What is prob of picking 2 t and 1 b when three letters picked without replacement from tltbttntbtbnbbbttnt? 72/323 Two letters picked without replacement from {y: 1, a: 2, o: 1, d: 2, g: 1, f: 1}. Give prob of picking 1 d and 1 y. 1/14 Two letters picked without replacement from bbrbbrmrbm. Give prob of picking 2 b. 2/9 Three letters picked without replacement from {o: 1, z: 1, f: 3, d: 3, v: 2, r: 1}. What is prob of picking 2 f and 1 d? 3/55 Two letters picked without replacement from xbebcbobmcxbmbxxx. Give prob of picking 1 o and 1 x. 5/136 Four letters picked without replacement from qiiwuqqwgiwqgwqqqiwu. What is prob of picking 3 q and 1 i? 28/969 What is prob of picking 1 z and 3 x when four letters picked without replacement from xzxzzzxxzxxxzzxcxzc? 56/323 Two letters picked without replacement from {o: 7, f: 3}. Give prob of picking 2 f. 1/15 What is prob of picking 2 k and 2 n when four letters picked without replacement from {k: 3, n: 2}? 3/5 Calculate prob of picking 1 o, 1 h, and 1 m when three letters picked without replacement from ooggooogoohaogoggmao. 1/114 What is prob of picking 2 n when two letters picked without replacement from {n: 9, l: 2, f: 5}? 3/10 Three letters picked without replacement from {t: 2, b: 4, i: 1}. What is prob of picking 1 t and 2 b? 12/35 Two letters picked without replacement from qqqrqcpqqquqqquuqqee. What is prob of picking 1 e and 1 r? 1/95 What is prob of picking 1 l and 1 p when two letters picked without replacement from {l: 4, p: 6}? 8/15 What is prob of picking 1 r and 1 q when two letters picked without replacement from qdrctzq? 2/21 Three letters picked without replacement from aggagagaappaaagaggg. Give prob of picking 3 g. 56/969 Calculate prob of picking 4 x when four letters picked without replacement from {k: 7, x: 12}. 165/1292 Two letters picked without replacement from {y: 2, t: 1, e: 4, c: 2}. Give prob of picking 2 y. 1/36 Calculate prob of picking 2 u when two letters picked without replacement from uuoufokkfouofkf. 2/35 What is prob of picking 2 o when two letters picked without replacement from {g: 1, o: 2, k: 2}? 1/10 Four letters picked without replacement from xyqtxqjqtqx. Give prob of picking 2 x and 2 q. 3/55 Three letters picked without replacement from yyzw. What is prob of picking 2 y and 1 z? 1/4 Two letters picked without replacement from zzwzzbwlwzlblqbhbzwq. What is prob of picking 1 w and 1 b? 8/95 What is prob of picking 1 y and 2 v when three letters picked without replacement from vyvvvyyyvvyvvv? 45/91 Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {t: 1, h: 2, g: 3, e: 1}. 1/7 Two letters picked without replacement from vvvvvvvvxxv. Give prob of picking 2 v. 36/55 What is prob of picking 2 l and 1 e when three letters picked without replacement from eellllllelll? 27/55 Two letters picked without replacement from wswwjwwswswjs. Give prob of picking 1 w and 1 s. 14/39 Three letters picked without replacement from {t: 1, p: 5, k: 3, n: 1, l: 3, v: 2}. What is prob of picking 1 k, 1 v, and 1 t? 6/455 Calculate prob of picking 1 b and 1 v when two letters picked without replacement from ubbggdvd. 1/14 Two letters picked without replacement from {t: 1, k: 2, o: 10, a: 3, j: 1}. Give prob of picking 2 k. 1/136 Calculate prob of picking 2 t when two letters picked without replacement from lnntnnnlnntintli. 1/40 Three letters picked without replacement from {s: 1, y: 17, d: 1}. What is prob of picking 1 s, 1 d, and 1 y? 1/57 Three letters picked without replacement from {w: 7, l: 1, n: 2, t: 2, g: 8}. Give prob of picking 1 n and 2 g. 14/285 Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {o: 19, q: 1}. 1/10 Four letters picked without replacement from sssspaaapsjsa. What is prob of picking 1 a, 2 s, and 1 j? 12/143 What is prob of picking 1 z and 1 t when two letters picked without replacement from {d: 3, z: 1, t: 16}? 8/95 Calculate prob of picking 2 m, 1 y, and 1 h when four letters picked without replacement from mydysxhm. 1/35 What is prob of picking 2 s when two letters picked without replacement from ssmmsmmsmsmmmmmmmms? 5/57 Four letters picked without replacement from xxwmxwmmmmwxxxmmmxm. Give prob of picking 2 x and 2 m. 63/323 Four letters picked without replacement from siuitvpitsssiviis. What is prob of picking 1 s, 1 t, 1 p, and 1 v? 1/119 Calculate prob of picking 2 z when two letters picked without replacement from {c: 5, z: 5, m: 3}. 5/39 Two letters picked without replacement from qiqeooeojeqqojv. What is prob of picking 2 q? 2/35 Two letters picked without replacement from ccd. Give prob of picking 1 d and 1 c. 2/3 What is prob of picking 1 g, 1 p, 1 v, and 1 q when four letters picked without replacement from {g: 3, q: 1, a: 1, v: 3, w: 4, p: 3}? 9/455 Two letters picked without replacement from {d: 7, f: 2, s: 1}. Give prob of picking 2 f. 1/45 Calculate prob of picking 1 s, 1 o, and 2 e when four letters picked without replacement from ezeoeeseeeeerzeeerz. 11/646 Calculate prob of picking 3 v when three letters picked without replacement from {v: 15, b: 3}. 455/816 Calculate prob of picking 3 o when three letters picked without replacement from {o: 6}. 1 Four letters picked with
{ "pile_set_name": "DM Mathematics" }
lacement from {l: 3, w: 7, c: 9}. Give prob of sequence llcl. 3/5168 Calculate prob of sequence aho when three letters picked without replacement from loaqlwqh. 1/336 What is prob of sequence nh when two letters picked without replacement from {l: 1, r: 1, e: 2, n: 2, h: 1}? 1/21 Two letters picked without replacement from {a: 1, r: 1, l: 2, n: 3, b: 3, e: 1}. What is prob of sequence ae? 1/110 Four letters picked without replacement from {y: 18, r: 2}. Give prob of sequence yyry. 8/95 Two letters picked without replacement from {y: 13, i: 1, d: 3}. What is prob of sequence id? 3/272 What is prob of sequence dlld when four letters picked without replacement from {d: 5, l: 4, z: 1, q: 1, k: 1}? 2/99 Three letters picked without replacement from {g: 3, d: 2, r: 7}. Give prob of sequence grg. 7/220 Calculate prob of sequence lrl when three letters picked without replacement from {r: 1, l: 3, y: 5}. 1/84 Three letters picked without replacement from mgmmggmggm. Give prob of sequence mmm. 1/12 What is prob of sequence kmkm when four letters picked without replacement from mymyymyymymykyyyykm? 5/7752 Three letters picked without replacement from {d: 10, l: 2, c: 3}. What is prob of sequence dll? 2/273 Four letters picked without replacement from kkkykkkykkkkky. What is prob of sequence ykkk? 45/364 Four letters picked without replacement from {s: 2, p: 4}. What is prob of sequence spss? 0 Three letters picked without replacement from alvva. What is prob of sequence lav? 1/15 What is prob of sequence by when two letters picked without replacement from gbbobgooyggbgopo? 1/60 Three letters picked without replacement from {n: 1, v: 3, m: 5}. Give prob of sequence vnv. 1/84 What is prob of sequence idoz when four letters picked without replacement from {i: 1, z: 1, o: 2, d: 1}? 1/60 Calculate prob of sequence cgjg when four letters picked without replacement from {c: 1, z: 2, j: 4, g: 8}. 4/585 Calculate prob of sequence rrwr when four letters picked without replacement from faawrraja. 0 What is prob of sequence qg when two letters picked without replacement from qqggbb? 2/15 Four letters picked without replacement from hhnnnuxhnnxluhnhhu. What is prob of sequence hlnh? 1/408 Calculate prob of sequence pddp when four letters picked without replacement from pppppppddpdp. 2/55 Calculate prob of sequence hd when two letters picked without replacement from hkdyd. 1/10 Two letters picked without replacement from wwwwwwwwwhww. What is prob of sequence ww? 5/6 Calculate prob of sequence ooa when three letters picked without replacement from {v: 6, a: 2, f: 3, y: 1, g: 4, o: 3}. 2/969 Two letters picked without replacement from fppffffff. Give prob of sequence ff. 7/12 Four letters picked without replacement from {a: 6, w: 3, f: 1, j: 3, z: 3}. What is prob of sequence wwjf? 3/7280 Two letters picked without replacement from lllvlplrrcpl. Give prob of sequence vp. 1/66 Calculate prob of sequence hu when two letters picked without replacement from {b: 1, h: 2, u: 1}. 1/6 Four letters picked without replacement from pppkpk. Give prob of sequence kppp. 2/15 Four letters picked without replacement from {d: 11, m: 3}. What is prob of sequence mmmd? 1/364 Calculate prob of sequence qfqf when four letters picked without replacement from {f: 7, q: 6}. 21/286 Two letters picked without replacement from {j: 10, c: 2, m: 2}. Give prob of sequence mj. 10/91 Calculate prob of sequence moow when four letters picked without replacement from {m: 1, o: 2, w: 1}. 1/12 Three letters picked without replacement from tztz. Give prob of sequence zzt. 1/6 Four letters picked without replacement from ehheehe. What is prob of sequence eeeh? 3/35 Four letters picked without replacement from qlqql. What is prob of sequence qqlq? 1/10 What is prob of sequence kuf when three letters picked without replacement from ukf? 1/6 Two letters picked without replacement from {c: 3, b: 1, t: 1, w: 1, r: 3, d: 10}. Give prob of sequence rd. 5/57 Two letters picked without replacement from {g: 3, e: 2, q: 5, f: 3}. What is prob of sequence gf? 3/52 Calculate prob of sequence aww when three letters picked without replacement from {w: 3, a: 15}. 5/272 Two letters picked without replacement from ixoooiihdxuhoiixodii. Give prob of sequence hu. 1/190 Four letters picked without replacement from {d: 2, c: 1, h: 1, q: 2, u: 1, s: 2}. What is prob of sequence qddh? 1/756 Four letters picked without replacement from vvmtm. Give prob of sequence mtmv. 1/30 Calculate prob of sequence hk when two letters picked without replacement from {h: 3, k: 3}. 3/10 What is prob of sequence nn when two letters picked without replacement from nnnjjjjjnj? 2/15 Calculate prob of sequence be when two letters picked without replacement from {k: 7, f: 1, l: 1, b: 2, e: 1, n: 2}. 1/91 What is prob of sequence hhc when three letters picked without replacement from chhhhhhhchh? 8/55 Calculate prob of sequence ii when two letters picked without replacement from {u: 2, i: 2, v: 1, a: 1, k: 1}. 1/21 Calculate prob of sequence sr when two letters picked without replacement from {s: 3, r: 2, m: 12}. 3/136 Three letters picked without replacement from {i: 7, k: 1}. Give prob of sequence kii. 1/8 Calculate prob of sequence lete when four letters picked without replacement from lettttlelltelttte. 1/119 Four letters picked without replacement from qgggqqggggg. Give prob of sequence qgqg. 7/165 Two letters picked without replacement from {z: 4, h: 5, l: 2, a: 1, w: 5, r: 3}. Give prob of sequence zr. 3/95 Three letters picked without replacement from {j: 9, u: 9}. Give prob of sequence juj. 9/68 Calculate prob of sequence puu when three letters picked without replacement from sxpururrzprprxrzxp. 1/612 What is prob of sequence umn when three letters picked without replacement from {u: 2, t: 3, n: 6, m: 1}? 1/110 Three letters picked without replacement from ennneqn. Give prob of sequence een. 4/105 What is prob of sequence ln when two letters picked without replacement from {n: 3, l: 1, q: 1}? 3/20 Three letters picked without replacement from {r: 4, t: 1, y: 4, w: 1, z: 3, x: 6}. Give prob of sequence wrt. 2/2907 What is prob of sequence kaq when three letters picked without replacement from xsakaqbx? 1/168 Four letters picked without replacement from ippippiwiippwipwy. What is prob of sequence yiwi? 3/1904 What is prob of sequence lu when two letters picked without replacement from {l: 3, u: 7}? 7/30 Calculate prob of sequence vvh when three letters picked without replacement from nvvnnvnvhvv. 1/33 What is prob of sequence dds when three letters picked without replacement from {c: 2, o: 1, s: 2, b: 2, n: 5, d: 8}? 14/855 Two letters picked without replacement from {o: 18, t: 2}. What is prob of sequence to? 9/95 Calculate prob of sequence pzp when three letters picked without replacement from pzzpppzzzzpp. 3/22 What is prob of sequence sk when two letters picked without replacement from iooeisiiki? 1/90 Four letters picked without replacement from {p: 3, t: 1, c: 1, i: 1, f: 1}. Give prob of sequence pcpt. 1/140 Calculate prob of sequence gug when three letters picked without replacement from {e: 2, g: 14, u: 1}. 91/2040 What is prob of sequence gwg when three letters picked without replacement from gwwggwggggwggw? 15/91 What is prob of sequence ll when two letters picked without replacement from {l: 8, v: 3}? 28/55 What is prob of sequence lz when two letters picked without replacement from {t: 4, u: 2, y: 3, z: 1, l: 1}? 1/110 What is prob of sequence hf when two letters picked without replacement from hgggfgfhhghgghgg? 1/24 What is prob of sequence vfq when three letters picked without replacement from qodqddqdqvfqffdfzdff? 1/228 Three letters picked without replacement from muussub. What is prob of sequence ums? 1/35 Calculate prob of sequence eb when two letters picked without replacement from bhbbbbebhhbbh. 2/39 Two letters picked without replacement from maigagmangggagngai. What is prob of sequence mi? 2/153 Calculate prob of sequence gg when two letters picked without replacement from {g: 5}. 1 What is prob of sequence ok when two letters picked without replacement from ykyoooyykoo? 1/11 Calculate prob of sequence lgn when three le
{ "pile_set_name": "DM Mathematics" }
d(c) = c**3 + 16*c**2 - 15*c + 30. Let p be -1*(20 + (-1)/(-2)*-6). Let g be d(p). Let t be (-1705)/180 + 4 + 3/g. Is -6 > t? True Let n be (1/(-69))/(-6 - (-28016)/4664) - -2. Is n > 1? False Suppose -y + 0*y + 10 = 4*v, 3*v = 5*y - 50. Suppose 5*a - y + 0 = 0. Suppose -a*q = -4 - 0. Is 4/7 less than q? True Let d = 7185/2528036 + -4/1921. Which is greater: d or 1? 1 Let u be (78/2912)/(540/35). Is u > -2/3? True Let m(g) = -g**3 - 8*g**2 + 7*g + 6. Let t be m(-9). Suppose 0*i + 4*i = -80. Let l be (72/i)/(6/(-40)). Is l at least t? True Let j = 3.99 + -39.09. Is -4 less than j? False Let l = 0.03828 + -480.03828. Are l and -0.8 nonequal? True Let z be (-11)/(-66) - (-745)/30. Suppose 30 = m + 4*d, -7*d + 135 = 5*m - 2*d. Is z less than or equal to m? True Let o(j) = j**2 + 4*j + 1. Let n be o(-4). Let s be (2 + 111/(-6))*(-784)/7056. Is s less than or equal to n? False Let d = 77 + 183. Suppose -229 = -3*x - 2*j + 562, j + 257 = x. Is x equal to d? False Let a be 31 - (-36)/41472*-35628. Let d be 0*-1*(3 - 2). Which is smaller: a or d? d Suppose -5*h - 3 = 2*x, h - 21 = 2*x - 6*x. Suppose 810 = -x*y - 3*y. Which is greater: y or -91? y Suppose 3*k - 18*k = 180. Let a be 112/k + (-3)/9. Which is greater: a or -9? -9 Let d be (243/324)/(0 - 6/(-88)). Let f = 7 - -7. Is d <= f? True Let w(y) = y**3 - 10*y**2 - 8*y + 37. Let c be -2 - (2/(-2) + 1) - -10. Let a be w(c). Is a bigger than -155? False Let v = 2 - -8. Suppose 4*o = 2*w - v, -2*w + w - 4*o = 19. Let l be w/(-9)*(-4 - -3). Is l smaller than -0.2? True Let l be (1/2 + -1)*-6. Let g be (-3 + 6)/(-3) - -3. Suppose 3*v - 10 = -0*w + g*w, l*v = 12. Which is smaller: w or -2/37? -2/37 Let v(l) = -31*l**2 + 40*l + 224. Let j be v(13). Which is smaller: -4494 or j? j Suppose 14*k = 7*k + 630. Let v = -156 + k. Let y = v - -63. Is y > -5? True Let d = -53 - -49. Let r be (0 + -1)/(d/8). Suppose -9 + 7 = -r*q. Is q >= -2/129? True Suppose -y - 3*b - 2 = 0, 0 = -5*y + 5*b + 42 - 12. Let d be (-188)/(-6) + 3 + (-65)/(-13). Let u = 523/12 - d. Is y at most u? True Let g = -149.8 + 150. Let w = 58.02 - 58. Which is smaller: g or w? w Let p = 104 - 105. Let a(f) = 4*f + 4. Let x be a(p). Is x greater than 1/172? False Let z be 10/(-73)*(-10)/50. Let m(b) = b**3 - 5*b**2 + 3*b + 3. Let c be m(4). Which is bigger: c or z? z Let s be 148/(-3)*128/2560. Which is smaller: -3 or s? -3 Suppose -m + 166 = -0*m. Suppose -m = -4*h + 90. Let q = 30 - h. Is q less than or equal to -35? False Let r be (-5)/3*(-36)/(-10). Let w be r/9*-1 + (-39)/63. Let f(y) = y**2 + 8*y + 6. Let l be f(-7). Which is smaller: w or l? l Let l(h) = -10*h - 150. Let f be l(-12). Let x be 5627/255 + 2/f. Which is bigger: x or 15? x Let z(n) = -3*n**2 + 7*n - 57. Let t be z(23). Let f = t + 45967/31. Which is bigger: -0.1 or f? -0.1 Suppose 13*q - 4*l = 14*q + 235, -3*q = -4*l + 801. Which is greater: 1/2 or q? 1/2 Let h = 4/493 - 1342/43877. Suppose 21*d = 19*d - 5*p + 10, d = -4*p + 8. Which is bigger: h or d? d Let k(w) = -14*w - 559. Let p be k(-40). Which is smaller: p or 2/4711? 2/4711 Let p = -31.1 - -28. Let o = 3.9 - p. Let n = 13 - o. Which is smaller: -2 or n? -2 Let o(j) be the first derivative of -j**4/2 + j**3/3 + j**2 + 13*j + 43. Let t be o(0). Is 13 < t? False Let s = -3239 + 3178. Which is bigger: 7/9 or s? 7/9 Suppose 65*v + 26*v + 3344 = -61*v. Which is smaller: 15 or v? v Suppose 5*s + 4*q - 16 = 0, 3*s + 18 = 4*q + 2. Let y = s - 66. Is -66 at least as big as y? True Let l be ((-1)/(-10))/(0 + -4 - (-25672)/6416). Which is bigger: l or 80? l Let g be (-1262)/2170 - (-597)/995. Are 22 and g equal? False Let u = -1/2523 - -20257/184179. Let a = u - -25/438. Is -1 at least as big as a? False Let h be (-5)/(20/(-52)) + 3. Let r be h/16*(-13)/(-7). Suppose -27*j = -51*j + 48. Is j less than r? False Let v be 6 - -616 - 3 - (6 + 0). Let s = v - 616. Are s and 2 non-equal? True Suppose -8*d + 521 = -495. Let n be (-12)/15 - (-5)/(50/1258). Is d < n? False Let s be 28/(-35) + 65518/(-765). Which is smaller: -87 or s? -87 Suppose -2*g + 1408 + 2118 = j, -4*g - j = -7058. Is 1766 bigger than g? False Suppose 5*k + 125 = 2*h + h, -125 = 5*k + 4*h. Let g = 24 + k. Let i = 736 - 11036/15. Is g at most as big as i? True Let u = 37.5769 - 35.5769. Let p = -1.8 - -0.2. Let l = -0.5 - p. Which is greater: u or l? u Let m = -80.58 - -54.58. Which is smaller: m or -2/33? m Let u be (4 + 404/(-112))/(2/328). Let q = -64 + u. Let x(k) = -k**3 - 5*k**2 + 2*k + 8. Let w be x(-5). Which is bigger: w or q? q Let m(p) = 4*p**2 + 27*p + 6. Let g be m(13). Let f = 930 - g. Is f bigger than -104? True Suppose -695*j = 2*z - 692*j + 3162, 2*z + 3154 = -4*j. Is -1594 less than z? True Let d(p) = -p + 2. Let t be d(4). Let n = -2689 + 2691.6768. Let q = -0.0768 + n. Which is greater: t or q? q Let w(p) = -p**3 + 6*p**2 + 7*p + 2. Let g be w(7). Let i be (-2)/g*(-102)/1462. Let z(m) = -m + 12. Let y be z(11). Is i <= y? True Suppose 0 = 39*w + 56352 + 26016. Is w at least -2112? True Let i be 10/(-1)*((2 - -2) + -2). Let b be -5*(-4)/i*5. Let j be (-6 - b/5) + 3. Is -1 >= j? True Suppose -4*t = -4*z - 4, 5*t - 18 + 9 = z. Let y = -13 - -28. Suppose y = h + t*h. Which is smaller: h or 6? h Let y be -1 + (0 - -1) + 4. Suppose -211 = y*p + 3*h, -7*h + 176 = -4*p - 3*h. Are p and -49 unequal? False Let s be 0 - 0 - -2 - (-6)/2. Suppose -d + 24 = 3*d - 3*i, 5*d + s = -5*i. Suppose -d = 4*w - 2*b + 17, 0 = -w - 3*b - 19. Is w smaller than -6? True Let v(j) = 21 - 15*j + 14*j - 5*j. Let t be v(4). Is t >= -2? False Suppose -4*l + w = -20, 3*l - w - 14 = -0*l. Let g = 235.2 + -517. Let z = g - -282. Are l and z nonequal? True Let y = -0.0074 + -3.7726. Let s = y - -3.34. Are s and 7 unequal? True Let t = 5.954 + 1.046. Let i = -0.23 - 6.97. Let d = t + i. Is -0.1 < d? False Let j be 4/(-1 - (-2 - -3)). Let w be (-8)/32*((-284)/(-3))/j. Is 12 > w? True Let w = 7989 + -8221. Is w < -235? False Suppose -f + 16*f = -9*f. Suppose 0 = 2*d + 10 - 18, -5*l - d + 214 = f. Are -4 and l nonequal? True Let f be 1 - 0 - 1512/945*10/8. Which is smaller: 19/69 or f? f Let w = -23127690/293 - -78934. Which is bigger: w or 1? 1 Let r = 454 + -218. Let q = 126 - r. Are 1/3 and q non-equal? True Let a be (-2 + 3/6)/(1/(-2)). Suppose 3*g = -a*g - 24. Which is smaller: g or 1? g Let d = -6422 + 6241. Which is bigger: d or -0.22? -0.22 Suppose -11*j + 9*j + 8 = 0, 3*n + 2*j + 850 = 0. Which is smaller: -292 or n? -292 Let s = -3498 - -3666.3. Let z = -168 + s. Is -3.9 at most z? True Let o = -1 - -2. Let i be 1 + (1 + 1)/o. Let u be i - (63/27 + 1/(-3)). Which is smaller: -1/34 or u? -1/34 Let v = 179.9 - 175. Let l = v + -4.8. Which is greater: -28/11 or l? l Suppose n - 6 = 22. Let y be 18/n - 1/2. Suppose 11 = 5*p + k, -68 = 3*p - k - 65. Which is smaller: p or y? y Let f = -1453.99223 + -0.00777. Is -1 >= f? True Let x = -1802 + 1046. Let o = x - -767. Which is greater: -0.2 or o? o Suppose 4*a + 2*c = 282, -2 = 5*c - 3*c. Suppose 77*v - a*v = 162. Is v greater than 25? True Let m(g) = 229*g**2 - 458*g**2 + 235*g**2 - 2*g**3 - 3 - 5*g. Let u be m(2). Which is bigger: u or -4? -4 Let d = -1.72 - -10.02. Let c = -8.66 + d. Is c < 8? True Let d(s) = -53*s + 3. Let y be d(-6). Let p = -108918 - -109240. Does p = y? False Suppose 90 - 25 = -13*q. Let d be 47/(-12) + 0 + q + 9. Is -0.4 at least as big as d? False Let w(n) = n**3 - n**2 - n - 52. Let o be w(0). Suppose 3*t - 32 = 4*u, -3 = t + 2*u + 3. Suppose -20 = -4*j - t, 3*l = -2*j - 151. Which is greater: l or o? o Let w be (17 - 28) + ((-10)/(-2) - -5). Which is smaller: w or 2/67173? w Suppose 5 + 13 = -9*w. Let b = -60.005 + 60. Let y = -0.025 - b. Is w greater than y? False Let x = -4106 + 5435. Is x bigger than 1321? True Let v be 5 + -2 + -6 + (-3 - 0). Let b be (-27)/v*(-120)/36. Is -55/4 < b? False Let p be (1 + 4/(-6))*(-156 + 33). Let g = p + 48. Suppose g*d + 81 = -2*d. Is d smaller than -29/3? False Suppose 3*p = -5*m - 85, 0 = -6*p + 2*p - 20. Let h be (-4)/(-6) - 3*m/(-63). Let a be (-472)/1130 - 6/(-15). Which is greater: a or h? h Suppose -44*b - 19 - 25 = 0. Let t = -161/1027 - 11/395. Let q = t + 122/1365. Do b and q have the same value? False Let h(n) = -n**3 - 9*n**2 - 13*n - 19. Suppose 0 = -3*o +
{ "pile_set_name": "DM Mathematics" }
)/2 Simplify (-6*(sqrt(119) - -1*sqrt(119))/sqrt(7))**2. 2448 Simplify (sqrt(17) - (sqrt(85)/sqrt(5) + -2))*3*4*5. 120 Simplify -6*(1 + sqrt(8)/sqrt(4)*6)**2. -438 - 72*sqrt(2) Simplify sqrt(216)/(-5*(sqrt(72) - sqrt(8))). -3*sqrt(3)/10 Simplify (0 + -1 + sqrt(288)*-2*-4)**2. -192*sqrt(2) + 18433 Simplify 4 + sqrt(13) + 0 - (1 + sqrt(39)/sqrt(3)). 3 Simplify -4*sqrt(44)/sqrt(4) - (sqrt(33)/sqrt(3) + -3). -5*sqrt(11) + 3 Simplify (sqrt(1053) + sqrt(1053) + -2 - sqrt(1053))**2 + 1. -36*sqrt(13) + 1058 Simplify (-5 + 2 + sqrt(11))**2 + (0 + sqrt(11))*-5. -11*sqrt(11) + 20 Simplify sqrt(180) + 1 - (sqrt(100)/sqrt(4))/sqrt(5). 1 + 5*sqrt(5) Simplify sqrt(11) - (sqrt(1584)*-4 + sqrt(1584)) - (4*sqrt(11)*-2)**2. -704 + 37*sqrt(11) Simplify (6*2*sqrt(63))/(sqrt(1089)*1). 12*sqrt(7)/11 Simplify 1 + sqrt(208) + sqrt(39)/sqrt(27) + sqrt(13). 1 + 16*sqrt(13)/3 Simplify (-1*(sqrt(832) + -3*(1 + sqrt(832)) + sqrt(832) - (sqrt(832) - (-1*sqrt(832) + -3))))**2. 288*sqrt(13) + 7524 Simplify ((sqrt(180) + sqrt(180)*2 + sqrt(180) - sqrt(180))/sqrt(10))/((2*sqrt(66))/sqrt(11)). 3*sqrt(3)/2 Simplify (3*sqrt(160))/sqrt(5). 12*sqrt(2) Simplify (2*(-1*sqrt(208) + sqrt(208) + 3 + 5))**2. 256 Simplify (sqrt(20) - sqrt(20)*-2)*-4. -24*sqrt(5) Simplify sqrt(171)/(sqrt(45)/sqrt(5)) + 2 + sqrt(95)/sqrt(5). 2 + 2*sqrt(19) Simplify (sqrt(192)/((sqrt(48)/sqrt(4) - sqrt(12)) + sqrt(12)))/((sqrt(288) + sqrt(288)*-2 + sqrt(288) - sqrt(288)) + sqrt(288) + sqrt(288)). sqrt(2)/6 Simplify (sqrt(33) + sqrt(33) + -2*(sqrt(132)/sqrt(4) - sqrt(33)) + sqrt(33))/sqrt(11). 3*sqrt(3) Simplify sqrt(14)/(sqrt(10)/sqrt(5)*-6). -sqrt(7)/6 Simplify 1 + (sqrt(19) + -2)*-3. -3*sqrt(19) + 7 Simplify (sqrt(99) + (sqrt(99) - (sqrt(99) - (sqrt(99) - sqrt(99)*-3))))/sqrt(9) + 1 + -3*sqrt(11). 1 + 2*sqrt(11) Simplify sqrt(125)*-1 + sqrt(5) + sqrt(320) + sqrt(5). 5*sqrt(5) Simplify 1*(3*(sqrt(11) + 1 - sqrt(11)) + -4). -1 Simplify (2*sqrt(6)*-2)/(sqrt(98) - (-1*sqrt(98) - sqrt(98))). -4*sqrt(3)/21 Simplify sqrt(150)/sqrt(3)*-2. -10*sqrt(2) Simplify (5*1*sqrt(136))/(sqrt(8) + sqrt(88)/(sqrt(11) + sqrt(44)/sqrt(4))). 10*sqrt(17)/3 Simplify (-1*2*sqrt(1584)*-5)**2*-6. -950400 Simplify (((sqrt(108) - (sqrt(108) - (2*sqrt(108)*-1 + sqrt(108) - sqrt(108)))) + 4)*3)**2. -864*sqrt(3) + 4032 Simplify (sqrt(187)*-1*1)/sqrt(11). -sqrt(17) Simplify (1*sqrt(252) - sqrt(252))**2 + 5. 5 Simplify 3 + sqrt(275) + -4 + 5. 4 + 5*sqrt(11) Simplify (1*(sqrt(832) + 3*(0 + sqrt(832))))**2. 13312 Simplify 6*sqrt(288)*-5. -360*sqrt(2) Simplify 2*(sqrt(208))**2 + (sqrt(13)*-1 + -2)**2. 4*sqrt(13) + 433 Simplify -4 + sqrt(847) - sqrt(847) - (sqrt(112)*3)**2. -1012 Simplify 2*(5 + 0 + sqrt(17)). 2*sqrt(17) + 10 Simplify -2 + sqrt(2057)*-2. -22*sqrt(17) - 2 Simplify (sqrt(21)/(sqrt(700) + sqrt(700) + sqrt(700)*-2 + sqrt(700)) + 1 + 1 + sqrt(192))**2. 162*sqrt(3)/5 + 20083/100 Simplify (sqrt(847) - (sqrt(847) + 1 + -2*sqrt(847)) - (2*sqrt(847) + sqrt(847) + 1))**2. 44*sqrt(7) + 851 Simplify sqrt(55)/(sqrt(880)/sqrt(5)). sqrt(5)/4 Simplify (5*sqrt(1050) + sqrt(42))/(sqrt(30)/sqrt(5)*-6). -13*sqrt(7)/3 Simplify (sqrt(96)/sqrt(2) + -1)**2*1. -8*sqrt(3) + 49 Simplify ((sqrt(294)*1 + sqrt(294))/sqrt(6))/(-1*sqrt(7)*-1). 2*sqrt(7) Simplify (6*(5 + -1*sqrt(245)))**2. -2520*sqrt(5) + 9720 Simplify sqrt(45) + 0 + -4 + -1. -5 + 3*sqrt(5) Simplify (sqrt(60)/(sqrt(588)*-2 - sqrt(588)) + -4)**2. 8*sqrt(5)/21 + 7061/441 Simplify 3*(sqrt(567) - (sqrt(567)*2)**2) - (sqrt(70)/sqrt(40) + -3). -6801 + 53*sqrt(7)/2 Simplify (sqrt(363) + (-6*-2*sqrt(363))**2)*-6. -313632 - 66*sqrt(3) Simplify sqrt(9)/(-1*sqrt(3) - sqrt(3))*5*4. -10*sqrt(3) Simplify 1 + (3*sqrt(156)*2)/sqrt(12) + 4. 5 + 6*sqrt(13) Simplify sqrt(847) + 3 + 2. 5 + 11*sqrt(7) Simplify (-3*(sqrt(11) + 2 + sqrt(704) - (sqrt(66)/sqrt(3))/sqrt(2)))**2. 288*sqrt(11) + 6372 Simplify 0 + -4 + (sqrt(5) - sqrt(5)*2)*-3 + sqrt(35)/(2*sqrt(7)). -4 + 7*sqrt(5)/2 Simplify (sqrt(500)*3*4)**2. 72000 Simplify (sqrt(425) - 1*sqrt(425))**2 - sqrt(204)/sqrt(192). -sqrt(17)/4 Simplify (sqrt(44)/sqrt(2))/sqrt(2) + 3. 3 + sqrt(11) Simplify -3*(sqrt(66)/(sqrt(24)/sqrt(4)))**2. -33 Simplify (-2*sqrt(7)*-2*-3)**2 - sqrt(49)/sqrt(448). -sqrt(7)/8 + 1008 Simplify sqrt(312)/(5*-1*sqrt(6) + sqrt(6)). -sqrt(13)/2 Simplify ((sqrt(28))**2 + sqrt(7))*5 - (sqrt(7) - (-1*sqrt(7) + 3))**2. 17*sqrt(7) + 103 Simplify -2*1*sqrt(2)*6. -12*sqrt(2) Simplify ((sqrt(180) + (sqrt(180) - (sqrt(180) - -1*sqrt(180))))/sqrt(9))/(sqrt(324) - (sqrt(324) + sqrt(324) + sqrt(324)*1)). 0 Simplify (sqrt(24) - (sqrt(48)/(sqrt(2) + sqrt(2)*1 + sqrt(2)) - sqrt(24)))/(sqrt(24)/(sqrt(2) + sqrt(18))). 20*sqrt(2)/3 Simplify sqrt(22)/(4*sqrt(44)). sqrt(2)/8 Simplify sqrt(363) + 0 + -2. -2 + 11*sqrt(3) Simplify (sqrt(2) - -2*sqrt(2)) + 1 - (sqrt(162) - (0 + sqrt(162))). 1 + 3*sqrt(2) Simplify sqrt(68)*-2*5. -20*sqrt(17) Simplify ((sqrt(153) - sqrt(153)*-2)*2)/(2*sqrt(900) - sqrt(900)). 3*sqrt(17)/5 Simplify 5*(5*3*sqrt(65))/sqrt(5). 75*sqrt(13) Simplify (sqrt(700) + -3)**2 - ((sqrt(14) + (sqrt(14) - sqrt(28)/sqrt(2)))/sqrt(2))**2. -60*sqrt(7) + 702 Simplify 2*((-2*sqrt(833))**2 - sqrt(204)/(sqrt(12)*-3)). 2*sqrt(17)/3 + 6664 Simplify ((sqrt(468) - (sqrt(468) + sqrt(468) + 2) - sqrt(468))*-4)**2. 768*sqrt(13) + 30016 Simplify (sqrt(121)/(sqrt(11)*6) + 0)**2. 11/36 Simplify (3*(-1 + sqrt(475)) - (sqrt(475) + (sqrt(475) - (sqrt(475) - ((sqrt(475)*-1 - sqrt(475) - sqrt(475) - sqrt(475)) + -3) - sqrt(475))**2))) + 5. 125*sqrt(19) + 7611 Simplify sqrt(190)/(-4*(sqrt(10) + sqrt(40))). -sqrt(19)/12 Simplify (-1 + 2 + ((-1 + sqrt(637))**2 - sqrt(13)))*4. -60*sqrt(13) + 2556 Simplify sqrt(125) + 1 + 0. 1 + 5*sqrt(5) Simplify (4 + 1*(2 + sqrt(19)))*-3. -18 - 3*sqrt(19) Simplify -4*(4*(4 + sqrt(1584)))**2. -102400 - 6144*sqrt(11) Simplify ((sqrt(192) + 2*sqrt(192))*-3 - sqrt(192)) + (3 + sqrt(192) + 1 - sqrt(192))**2. -80*sqrt(3) + 16 Simplify (-3 + -2 + (sqrt(153)/sqrt(144) - sqrt(17)))**2. 15*sqrt(17)/2 + 553/16 Simplify 3 + (sqrt(19)*2)**2 + 4 + (sqrt(152) - (-4*(sqrt(152) + sqrt(152)*1 + sqrt(152)) - sqrt(152)))/sqrt(8). 14*sqrt(19) + 83 Simplify sqrt(13) + 2 + 0 + sqrt(13) + sqrt(13) + 5. 7 + 3*sqrt(13) Simplify (sqrt(114) + 3*(1*sqrt(114) + sqrt(114)) - sqrt(114))/((2*sqrt(6) + sqrt(6))*-4). -sqrt(19)/2 Simplify (3*-1*sqrt(1539))**2. 13851 Simplify sqrt(143)/(-5*sqrt(704) - sqrt(11)). -sqrt(13)/41 Simplify (1*(sqrt(1539)*1 + sqrt(1539)))**2. 6156 Simplify sqrt(4032) + -4 + 2*sqrt(4032). -4 + 72*sqrt(7) Simplify (-1*sqrt(416))/sqrt(8). -2*sqrt(13) Simplify -2 + sqrt(28)*6. -2 + 12*sqrt(7) Simplify (sqrt(19) + sqrt(19) + (sqrt(19) + 4*sqrt(171))**2)*-6*-6. 72*sqrt(19) + 115596 Simplify (6*sqrt(5)*-3)**2 - (-1*sqrt(720))**2. 900 Simplify (6*(sqrt(112) + sqrt(7) + -5))**2. -1800*sqrt(7) + 7200 Simplify -2 + sqrt(3) + sqrt(108) + 2. 7*sqrt(3) Simplify (5 + (sqrt(475) + -1 - sqrt(19)) + 5)**2. 72*sqrt(19) + 385 Simplify -4*(1 + (sqrt(17) - (-1*sqrt(119))/sqrt(7))**2)*-1. 276 Simplify (4 + 0 + sqrt(3) - sqrt(3) - 3*-4*sqrt(3))**2. 96*sqrt(3) + 448 Simplify 6*(sqrt(6) + sqrt(150))/sqrt(2). 36*sqrt(3) Simplify (sqrt(208)/sqrt(4)*-4)/(sqrt(4) + -2*sqrt(8)/sqrt(2)). 4*sqrt(13) Simplify (sqrt(2736) + 1 + (sqrt(57)/sqrt(3) + sqrt(19) + sqrt(19))*-4)**2. 1 Simplify 5*((-2*sqrt(153)*-6 + sqrt(153))**2 + 4). 129305 Simplify (sqrt(1216) - (sqrt(1216) + 0 + sqrt(1216) + 4 - sqrt(1216))) + (sqrt(1216) - 1*sqrt(1216)*-1)**2. 4860 Simplify (1 + sqrt(17))**2 + 4 + 5 + -3. 2*sqrt(17) + 24 Simplify sqrt(15)/sqrt(3)*5 - (sqrt(180) + 1). -sqrt(5) - 1 Simplify (sqrt(425) - (sqrt(425) + 2)*-5 - sqrt(425))*-2 + 2. -50*sqrt(17) - 18 Simplify (4 + -1 + sqrt(153) + 1)**2*-1. -169 - 24*sqrt(17) Simplify 0 + sqrt(252) + -2. -2 + 6*sqrt(7) Simplify (-2 + -3 + 3 + sqrt(36)/sqrt(3))**2. -8*sqrt(3) + 16 Simplify -5*(1 + sqrt(1573) + 1 + sqrt(1573) - sqrt(1573))**2. -7885 - 220*sqrt(13) Simplify ((-3*(sqrt(187) + 2*sqrt(187)))/sqrt(11))**2. 1377 Simplify -5 + (sqrt(1539) - (-1 + sqrt(1539) + sqrt(1539)))**2 + 3 + (sqrt(1539) + -1)*1. -9*sqrt(19) + 1537 Simplify (sqrt(50) + (sqrt(250)/sqrt(5) - sqrt(50)) + 3)**2. 30*sqrt(2) + 59 Simplify (sqrt(153) + sqrt(153) + sqrt(153) + -6*sqrt(153)*-3)/sqrt(9) + -5. -5 + 21*sqrt(17) Simplify ((sqrt(175) + 2)**2 + -2)*-6. -1062 - 120*sqrt(7) Simplify (sqrt(3
{ "pile_set_name": "DM Mathematics" }
- 4*z + z - 13 + 3*z. Let o(w) = 4*w + 20. Let l(s) = 7*m(s) + 5*o(s). Calculate the least common multiple of l(4) and 3. 15 Suppose 10*o = -6 - 4. Let u(c) = 25*c**2 + 5*c + 4. Calculate the smallest common multiple of 24 and u(o). 24 Let q = -55 - -63. Suppose 5*y = 3*h - 4, 24 = 5*h - y - 3*y. What is the least common multiple of h and q? 8 Let o(h) = 8*h**2 + h. Let x be o(1). Suppose -x = -2*b + 7. Suppose -4*m - y + 23 = 0, -b = -m + 2*y - 0*y. Calculate the lowest common multiple of 18 and m. 18 Find the common denominator of 16 and ((-1315)/(-240) - 5)/(2/(-18)). 16 Calculate the least common multiple of 40 and 28 + -19 - 12/(-2). 120 Let u = -10 + 36. Let g = u + -20. What is the smallest common multiple of 74 and g? 222 Let s(i) = i**2 - 8*i + 25. Let b be s(5). Let n = -1/1755 + -15089/7020. Find the common denominator of n and 186/(-16) + 5/(25/b). 40 Let i = -8 + 16. Suppose 3*h - 117 = 81. Suppose 13*c = 16*c - h. What is the least common multiple of i and c? 88 Let l be (380/8)/(-5)*-556. Let p = -84481/16 + l. Calculate the common denominator of 37 + -2 + (-5)/(-2) and p. 16 Let o be ((-34)/(-85))/((-2)/(-20)). Suppose -10 = o*d - 26. Calculate the lowest common multiple of 6 and d. 12 Let c = -8777/885 + 1/1180. Let v = -24/121 - 5061/1936. What is the common denominator of v and c? 48 Suppose a + a = 4*u - 38, 5*u - 3*a = 46. Find the common denominator of (-25)/u*-7*4/(-56) and -119/20. 220 Suppose 0*b + 4*b = -4. What is the common denominator of (b - -3)/(90/75) and 13/3? 3 Suppose -35 = -3*w - 2*w. Let q = 17 - w. Let m(h) = h**3 + 8*h**2 - 12*h - 9. Calculate the least common multiple of m(-9) and q. 90 Suppose 0*m + 356 = -3*a + 2*m, m = 4. Find the common denominator of 1 + (-476)/40 + 0 and a/(-5)*1/(-4). 10 Let i = -495 - -7426/15. What is the common denominator of i and 36/365? 1095 Suppose -4*i + 5*u = 113, 0*i - 102 = 3*i + 2*u. Let q = i + 41. What is the least common multiple of q and 9? 9 Let n be (-78)/(-8) - (-33)/(-44). Suppose -n = -3*q, 3*q - 20 = -4*y + 37. Suppose 33 = 5*b - y. What is the smallest common multiple of 1 and b? 9 Suppose 4*v = -v + 20. Suppose -8*w + v = -28. Calculate the lowest common multiple of w and 44. 44 Let s be ((-6)/10)/(-3) - 16282/(-40). Let z = -419 + s. Calculate the common denominator of z and -41/7. 28 Let l = -25/688976 + 412166457343/10334640. Let r = -39877 + l. Find the common denominator of r and 25/6. 30 Let w(y) = -y + 2. Let r(d) = -2*d**2 + 6*d + 2. What is the least common multiple of r(3) and w(-8)? 10 Let w(u) = 2*u**2 + 71*u - 277. Calculate the least common multiple of w(-45) and 18. 5202 Calculate the smallest common multiple of (-28)/(8 - 4)*(-14)/2 and 21. 147 Calculate the common denominator of 53/25 and ((110/(-40))/11)/(2/(-134)). 100 Calculate the common denominator of -1/99 and (-10)/(-20) + 141/330. 495 Let g = -623/552 - 15/92. Calculate the common denominator of g and (1 - 154/(-30)) + -1. 120 Find the common denominator of 115/14 and 1 + (2/(-15) - 7546/(-420)). 42 Let c be 0 - 63405/(3 + 2). Let y = -570706/45 - c. What is the common denominator of -41/50 and y? 450 Let w = 26 + -1. Let a = -27 + w. What is the common denominator of a/(-6)*6/(-10) and 53/16? 80 Let q(a) = 7*a + 2. Let m be q(-1). Let o(y) = y**3 + 6*y**2 + 3*y + 7. Calculate the least common multiple of 9 and o(m). 153 Let a(x) = 4*x**2 + 9*x + 12. What is the least common multiple of a(-2) and 1? 10 Suppose -g + 4 = 5. Find the common denominator of (g - -5) + (-685)/100 and (295/(-25))/((-8)/(-10)). 20 Let k be (-95)/(-10)*(2 - (-2 + 2)). Suppose k = 3*x - 44. Calculate the smallest common multiple of 21 and x. 21 Find the common denominator of -39/199 and (4 + 57/(-12))*(-117)/(-27). 796 Let h(t) = t**3 + 11*t**2 + 12*t - 46. Let y = -3 + 19. What is the smallest common multiple of h(-9) and y? 16 What is the common denominator of -73/30 and 90/27*33/114? 570 Let c = -92 - -88. Calculate the lowest common multiple of 0 - (c - (0 - 1)) and 33. 33 What is the smallest common multiple of (-76)/(-380)*(24 - -1) and 71? 355 Suppose 2*m = 5*h - 85, h + 0 = 3*m + 4. Suppose -3 + h = -o. Let z = -2 - o. What is the smallest common multiple of z and 10? 70 Suppose 0 = -3*z + z. Suppose -2*d - d + 42 = -3*p, z = -d + 3*p + 12. Calculate the lowest common multiple of 24 and d. 120 Calculate the common denominator of 19*(-2 + (-72)/(-33)) and (1/(-6))/((-1)/(-38)). 33 Suppose -5*n = 20 - 110. Suppose 3*z + 2*m + 4 = m, -5*z + 4*m = n. Let j = 20 - z. What is the smallest common multiple of j and 8? 88 Let g(v) = 26 + 5*v + 17*v**2 - v**3 + 12*v + v. Calculate the smallest common multiple of g(18) and 4. 52 Let j = -4091/8 + 520. What is the common denominator of -53/4 and j? 8 Suppose 364 + 17 = c + 4*k, 5*c - k - 1926 = 0. What is the lowest common multiple of 210 and c? 2310 Let o be 2/(-1356)*(-556)/(-3). Let c = o + -1/226. Calculate the common denominator of c and ((-3)/50)/(((-160)/550)/8). 180 Let p(n) be the third derivative of -n**4/8 - 13*n**3/6 + 28*n**2. Let l = -28 + 46. What is the smallest common multiple of l and p(-11)? 180 Let p = 4 + 28. What is the least common multiple of 8 and p? 32 Calculate the common denominator of -53/7 and (-9060)/585 + 11 + (-2)/(-6). 91 Let a = -959 - -979. Calculate the smallest common multiple of a and (45/(-6))/((-12)/64). 40 Let s = 203/421791 + -1714977725/241264452. Let u be (4604/(-1144) - -2) + 2. Let i = u - s. What is the common denominator of i and 79/4? 12 Suppose -3*c = 4*r + 1 - 4, 4*c + 3*r = 11. Let t = c + 3. Calculate the smallest common multiple of 6 and t. 24 Let h = -115 + -105. Let r be 3/12 + (-911)/h. Let t = r - -141/22. Calculate the common denominator of -6/7 and t. 35 Suppose -100 = -3*b + 686. Let k = -19121 + 420567/22. Find the common denominator of (b/36 - 0) + 0 and k. 198 Let u = -58295/5626 + 1174/97. Let d = 5234 - 115245/22. What is the common denominator of u and d? 638 Let q = -3 + 5. Suppose 14 = q*x + 3*w, x - 4*w = -0*w - 4. Let k(y) = 2*y - 1. Calculate the lowest common multiple of k(6) and x. 44 Suppose 0 = 3*m + m - 40. What is the smallest common multiple of 8 and ((-4)/(-1 + 5))/((-1)/m)? 40 Let o be -2 + 2 - -5 - 2. Let a = -8 + 14. What is the smallest common multiple of 17 + (1 - -2)/o and a? 18 Suppose -5*a = l - 0*l - 40, -4*a + 3*l + 13 = 0. What is the least common multiple of a and (9/15*2)/((-4)/(-30))? 63 Suppose 12*a - 286 = 10*a. Let k = 545/4 - a. Find the common denominator of 16/7 and k. 28 Find the common denominator of (85921/11374 - 8) + 4/(-22) and 89/6. 282 Let k be 1*-4*(-15628)/4. Let t be (2/(-546))/(16/k). Let l = t + -1/182. What is the common denominator of -3/8 and l? 24 Let d = -833079 - -34982855/42. Let i = d + 1125/7. Find the common denominator of -97/24 and i. 24 Suppose -5*u + 1 = -14. Let a(d) = -d**3 + 24*d**2 + 27*d - 69. Let i be a(25). What is the least common multiple of u and 1*-11*i/19? 33 Suppose 8 = 2*z - 0. Suppose 96 + z = 5*b. Calculate the least common multiple of 2 and b. 20 Let d(m) = -m**3 + 4*m**2 + 46*m + 7. Suppose -4*v = 5*h + 27, -v - 2*v - h - 12 = 0. Calculate the smallest common multiple of d(9) and 4/v*-12 - 0. 16 Let m(t) = -16*t**2 + 6*t + 3. Let l be m(-5). Let a be (-3)/9 - l/30. Let o = -74/5 + a. Find the common denominator of o and -85/12. 60 Suppose -21*p = -17 - 25. Suppose -j + 3*x + 2 + 2 = 0, 3*x - 26 = -p*j. What is the least common multiple of j and 20? 20 Let f = 35930/17 + -7184351/3400. Calculate the common denominator of -65/9 and f. 1800 Let y = 8 + -4. Suppose -2*j + 12 = -26. Suppose 0 = -2*c - 5*v + j, -2*c + 26 = 4*v + 6. What is the least common multiple of c and y? 12 Let j = 233 + -225. What is the smallest common multiple of j and 27? 216 Let x = -617 + 1201/2. Calculate the common denominator of x and -6 + 11 + (-159)/16. 16 Let f be (20/50)/((-1)/(-10)*4). Suppose t - 3*s - 14 = 0, 16 = 3*t + 6*s - 2*s. Calculate the lowest common multiple of (0 + 4)*f*(-2)/(-4) and t. 8 Let g(l) = l - 6. Let v be g(5). What is the common denominator of -4 + v + 1810/140 and -61/22? 154 Let g = -12371 + 1311381/106. Find the common denominator of g and -89/22. 1166 Suppose 12 = -3*z - u + 3, -4*u = -z - 3. Calculate the
{ "pile_set_name": "DM Mathematics" }
. Suppose r = 6*r - 3*k + 3, 0 = -r + 5*k - 5. Let y = r - z. Does 5 divide y? True Let x = 88 + -86. Let c be (-6)/(-8) - 27/36. Suppose c = b + x*b - 342. Is b a multiple of 19? True Suppose -195*z = -199*z + 232. Let r = z + 327. Is r a multiple of 7? True Let c(m) = 176*m + 5. Let i be c(3). Let a = 775 - i. Suppose -5*o + 78 = -a. Does 12 divide o? False Let o = 686 - 499. Does 61 divide 33651/33 - (-51)/o? False Is 50/(((-24)/(-1596))/1) a multiple of 33? False Let k(r) = -80*r - 1352. Does 19 divide k(-129)? True Suppose 0 = 2*n + 33 - 41. Let o(y) = 399*y**2 - y - 1. Let t be o(-1). Suppose -n*l = -l - t. Is l a multiple of 15? False Suppose -3*a - d + 25 = 0, -2*a + 2*d = a - 13. Suppose a*c - 995 = 349. Does 16 divide c? True Let f(s) = -334*s + 400. Does 9 divide f(-4)? False Suppose 7764 = 58*f - 29008. Is f a multiple of 10? False Is 11 a factor of -5 - (8 + -5) - (-5261 - -11)? False Let v(r) = -r**2 + 52*r - 300. Does 3 divide v(16)? True Suppose 0 = 2*n + 14 - 0. Let t be 39510/72 - (-2 - n/4). Suppose 0 = 3*q + 3*l - t, 3*q - l + 3*l = 551. Is 24 a factor of q? False Let g(z) = 1787*z**2 - 41*z - 47. Does 45 divide g(4)? False Suppose -3*c - l + 1465 = 0, -3*c + 1491 = 3*l + 30. Suppose 0 = 6*z + 39 - c. Does 75 divide z? True Is 27 a factor of 1*2*(-489 - -9397)? False Let s(j) = 13 + 12*j - 73*j - 1. Let h be s(-5). Suppose -h = -6*m + 283. Is m a multiple of 50? True Let y(n) = -56*n**2 + 5*n + 1. Let l be y(-4). Let s be l/9 - 2/6. Is 18 a factor of 3/(-3) + (1 - s)? False Let p(a) be the third derivative of -a**4/24 - 5*a**3/6 + 19*a**2. Let r be p(-10). Suppose 64 = 2*y - r*m, -2*y - 3*m = 3*y - 98. Does 18 divide y? False Suppose 3*s + 23*g = 25*g + 11155, -4*s + 5*g = -14878. Does 59 divide s? True Let v = 538 + -300. Suppose -i + v + 203 = 0. Is 49 a factor of i? True Let h(i) = 3*i**3 + 6*i**2 - 12*i - 3. Suppose -21*n + 22*n - 4 = 2*p, -2*n + 16 = 4*p. Is 87 a factor of h(n)? False Let z = 60 - 57. Let h be 1 - z/(-6)*2*-2. Does 9 divide h/((-292)/144 - -2)? True Suppose a = -3*a - t + 11, 0 = -3*a + 2*t + 22. Let b be 4/8 + a/(-8). Suppose -2*z + 3*s + 112 = b, -2 + 6 = -s. Does 18 divide z? False Suppose 46*p = 50*p - 700. Is 10 a factor of 5/35*2*p? True Suppose -17 = 5*o + 183. Let v be (7/(-28))/(2/o). Suppose 0 = -v*j + 2*n + 204, 4*j - 77 - 106 = -5*n. Is j a multiple of 14? True Suppose -134*b + 132*b + 51924 = 4*w, 129846 = 5*b + 4*w. Is 51 a factor of b? False Suppose 2*a + 3*r = 3178, 1586 = -50*a + 51*a + 2*r. Is a a multiple of 25? False Suppose 53*i - 51*i = -4*d + 1892, 2*i - 5*d = 1847. Does 12 divide i? True Let y(t) = t**3 + 11*t**2 - 25*t + 8. Let q be y(-13). Let n be 1/q + -1*(-3)/15. Suppose -g - 2*b + 76 = n, -5*g + 387 = 5*b - 2*b. Is 13 a factor of g? True Let z(n) = 48*n - 61. Let u be z(-7). Let a = u - -811. Does 46 divide a? True Let a(j) = 204*j + 208. Let y be a(-1). Let m = -3 + 8. Suppose 0 = -m*g - y + 74. Is g a multiple of 7? True Let j = 180 + 34. Suppose -209 = -5*r - i, -6*r + r + j = -4*i. Is 12/r - 166/(-7) a multiple of 4? True Let q be -18*2/(-6) - 1. Suppose 0 = -5*g + q*k + 1250, -42 + 312 = g - 5*k. Is g a multiple of 19? False Does 104 divide (48/15)/((-43)/(-22360))? True Let d(n) = 48*n**3 + 6*n**2 - 30*n + 14. Does 169 divide d(7)? True Suppose -2*g - c = -66051 + 9025, g = -5*c + 28522. Is g a multiple of 174? False Let l = -109 + 94. Is 21 a factor of ((-9)/(-3))/(l/(-965))? False Let o(m) = 203*m**3 + m**2 - 2*m + 1. Let b be o(1). Suppose 0*f - 3*f - r + b = 0, 296 = 4*f - 5*r. Let w = f + -41. Does 28 divide w? True Let b(q) = -183*q - 541. Is b(-22) a multiple of 41? True Let d = -383 + 388. Suppose 0 = 4*w - d*t - 78, t = -0*t - 2. Is 8 a factor of w? False Is 21 a factor of (-10674)/(-4) - -36*(-5)/120? True Suppose 312*h = 311*h + 27. Suppose -6*x + h*x - 9681 = 0. Does 5 divide x? False Suppose -9*g + 2*g = -8758 - 734. Is 11 a factor of g? False Suppose -573 - 2010 = -7*t. Is t a multiple of 2? False Let f be (-4)/(16/13)*44*1. Let i = f + 206. Is i a multiple of 3? True Let z = -353 - -272. Is 16 a factor of (48 + z)/(6/(-32))? True Let q(d) = -d**3 + 10*d**2 + 6*d - 14. Let y be q(12). Let w = y - -1357. Suppose -6*r + 313 = -w. Does 14 divide r? False Let r = -22 + 24. Suppose r*u + 3*u = 4*m - 37, -5*m = 5*u + 10. Suppose 107 + 37 = m*h. Does 8 divide h? True Let g(v) = -1. Let f(u) = 5*u + 24. Let i(l) = -f(l) - 3*g(l). Let a be i(-5). Suppose 0 = 5*m + 3*k - 300, -2*m + a*m - 99 = 3*k. Does 19 divide m? True Suppose 15*b = 12*b + 9. Let q(k) = -k + 6. Let h be q(b). Does 19 divide 2/((-32)/(-1496)) + h/2? True Let b(q) = 28*q**2 - 98*q + 29. Is 45 a factor of b(10)? False Is 8067 + (-79 + 80)/(8/(-10) + 1) a multiple of 12? False Let c(y) = -5335*y - 2537. Is 15 a factor of c(-5)? False Let c(w) = -17*w**3 - 21*w**2 - 86*w - 2. Is c(-6) a multiple of 13? False Let z(n) be the first derivative of -5*n**2/2 + 75*n + 151. Does 11 divide z(4)? True Let t be (-396)/(-10)*(12 + 3). Let q be (4 + -1)/((-6)/(-1504)) - (-32)/(-8). Suppose 0 = 4*n - 3*h - t, -n + h + q = 4*n. Is 10 a factor of n? True Suppose 0 = 5*u - 26*u + 4410. Suppose -428 = -2*o + 4*p, 4*o + u = -4*p + 1078. Is o a multiple of 24? True Let p be 657/(-18)*(0 + -2)/1. Suppose 64*x - p*x + 4464 = 0. Does 16 divide x? True Let q be ((-182)/(-35))/((-1)/(-5)) + 2. Let i = -12 + q. Suppose 21*x - 440 = i*x. Is x a multiple of 35? False Let w be (-2)/8*-29*12. Let g be w/(-9) + -2 + 4/(-12). Is 12 a factor of 143/3 - (1 - (-16)/g)? True Let h(f) = -f**3 + 3*f**2 + 6*f - 5. Let v be h(4). Suppose 12*n - 5*n = -v*n. Suppose 4*y - 2*y - 28 = n. Does 14 divide y? True Let c(x) = -x**3 + 11*x**2 + x + 15. Suppose -3*d - 35 = -8*d. Let i be c(d). Suppose -3*t + 46 + i = 0. Is 13 a factor of t? False Suppose -11065*c + 11081*c = 41920. Is 20 a factor of c? True Let k = -76300 - -108639. Is k a multiple of 232? False Is 40 a factor of (0 - (6 - 1))/(3/(-12912))? True Suppose m - 2 = 3*z, -m + 14*z - 9*z - 2 = 0. Does 2 divide (8 - 92/16)*m? True Suppose 3*l - 960 = l. Let n be (-28)/(-3 + -4) + 0 + -4. Suppose n*v - 10*v = -l. Is 12 a factor of v? True Let l(g) = 8*g + 2. Let b be l(-1). Let m be (-3)/(b/28)*6/7. Let y = 78 - m. Is 11 a factor of y? True Let f(n) = 21*n - 53. Let h be f(3). Is 8 a factor of (488/(-10))/((-4)/h) - 5? False Let t = 65 - 63. Suppose t*s - 5 = -35. Let n = 243 + s. Does 13 divide n? False Is 17 a factor of (90/6 - 49)*205/(-10)? True Suppose 4*c - 4*o + 1796 = 0, 3*o + 2343 = -5*c + 82. Let f = -275 - c. Suppose 0 = x - 4*u - f, -5*x + 4*u + 1127 = 311. Is 20 a factor of x? True Suppose -3*z - 16557 = 3*h + 2*h, 3*h + 9938 = 2*z. Let r = -1527 - h. Does 23 divide r? False Suppose 0 = -8*r - 4856 - 6480. Let c = r - -2562. Is c a multiple of 45? False Let q(a) = 2*a**3 - 13*a**2 - 12*a + 3. Let h be q(7). Let v(c) = c**3 + 33*c**2 + 25*c + 75. Is 23 a factor of v(h)? True Let d(h) = h**3 + 9*h**2 + 4*h + 34. Let o be d(-9). Is o/(-12) + (-42211)/(-102) a multiple of 23? True Suppose -4*x = -5*b + 51881, 3*b + 12598 = 4*x + 43725. Is b a multiple of 36? False Let j = 69 + -61. Let h(z) = 5*z + 27. Let o be h(j). Let t = -51 + o. Does 8 divide t? True Let z(h) = 11*h**2 - 2*h - 5. Let b = -113 + 110. Is 5 a factor of z(b)? True Suppose -4 = -0*g + 3*g - l, 0 = 5*g + 4*l + 1. Let v(f) = -208*f**3 + 6*f**2 + 8*f + 2. Is 16 a factor of v(g)? True Let w(g) = 12*g - 106. Let n be w(9). Suppose -2*o = 5*h - 385, n*o = -o - 4*h + 567. Is 85 a factor of o? False Let a be 3 - (-1 + (-73)/(-1)). Let d = 280 + a. Suppose 0 = -3*w + d + 401. Is w a multiple of 12? True Let r be 1*15*4/12. Let g(p) = -p**2 + 5*p - 4. Let m be g(r). Let o(a) = -7*a - 2. Is 13 a factor of o(m)? True Let d(n) be the first derivative of 137*n**4 - 5*n**2/2 + 3*n - 122. Does 42 divide d(1)? True Suppose -3*r + 63 = 18*r. Let f(l) = 50*l - 48. Is 102 a factor of f(r)? True Suppose -24*g = 98*g - 757010. Is 73 a factor of g? True Suppose -137 - 24 = i. Let u = 47 - i. Is u a multiple of 16? True Let q(m) = 19*m - 6. Let z be q(-4). Let y = 268 - z. Is y a multiple of 50? True Suppose 0 = 35*j - 33*j - 5*m + 192, -5*j - 445 = 5*m. Let n be 1/3 + 332/(-6). Let q = n - j. Is q a multiple of 5? False Let b(t) =
{ "pile_set_name": "DM Mathematics" }
of 11*d**3 + 4*d**2*p + 24*d**2*x + 4619*d*p*x - d*x + 2*p*x wrt d? 66*d + 8*p + 48*x What is the third derivative of -189*h**3 - 3*h**2 - 35*h + 13? -1134 Find the second derivative of -8*a**2*m**3*r - 15*a**2*m**2*r + 2*a**2*m*r - 2*a*m**3*r - 5*a*m**2 + 14*m**2 wrt a. -16*m**3*r - 30*m**2*r + 4*m*r Differentiate -2*u**3*w + 32*u**3 - u**2*w**2 + 250*w**2 + 1 with respect to w. -2*u**3 - 2*u**2*w + 500*w What is the first derivative of 2902*h**2 + 3627? 5804*h What is the second derivative of -18*a**4 + 8*a**2 + 9*a + 111? -216*a**2 + 16 Find the second derivative of 1526*u**3 + 3*u**2 - 32*u - 124. 9156*u + 6 Find the second derivative of -8*g**2*u**2*w + 2*g**2*u*w**2 - 2*g**2 + 2*g*w + 5*u**2*w**2 wrt u. -16*g**2*w + 10*w**2 Find the first derivative of 362*s**4 + 19*s**3 - 27312 wrt s. 1448*s**3 + 57*s**2 What is the third derivative of -4*s**5 - 96*s**4 + 679*s**2 wrt s? -240*s**2 - 2304*s Find the second derivative of 102*i**4 - 5*i**3 + 32*i - 6 wrt i. 1224*i**2 - 30*i What is the first derivative of -j*s - 60*j + 26*s wrt j? -s - 60 Differentiate 28*b**2*f*q**2 - 3*b**2*f - 71*b*f**2 - 3*f**2*q with respect to q. 56*b**2*f*q - 3*f**2 Find the third derivative of 286*j**6 - 130*j**2 - 2*j wrt j. 34320*j**3 Differentiate -307*v + 138 with respect to v. -307 What is the second derivative of -24*q**5 + 15*q**4 + 1120*q? -480*q**3 + 180*q**2 What is the first derivative of -16*c*r**3 - 1064*c - 8*r**2 wrt r? -48*c*r**2 - 16*r Find the third derivative of 36*o**5*u**2 - o**5*u - 2*o**2*u - 103*u**2 wrt o. 2160*o**2*u**2 - 60*o**2*u Find the first derivative of 342*f**2*l + 2*f - 113*l - 6 wrt f. 684*f*l + 2 Find the third derivative of -4406*u**4 - 97*u**2 + 7*u + 2. -105744*u What is the second derivative of 82*g**5*m**2 - 2*g**2*m**2 - 3*g*m**2 - 3*g*m + m wrt g? 1640*g**3*m**2 - 4*m**2 What is the third derivative of -677*s**5 + 90*s**2 + 8*s wrt s? -40620*s**2 Find the first derivative of -88*r**4 + 180. -352*r**3 Find the second derivative of -m**2*o**2*y**3 + 37*m**2*y**3 + 2*m*o**2*y**3 - 101*m*y**2 wrt m. -2*o**2*y**3 + 74*y**3 Find the second derivative of 11*o*v**3*x**3 + 4*o*v**3*x + 11*o*v**3 + 5*o*v**2*x**3 - 2*o*x + v**2 wrt x. 66*o*v**3*x + 30*o*v**2*x Find the first derivative of 15*c*i*x**2 + 28*c*i*x*y - 8*c - i*x**3 + 2*i*x*y + 3*x**3*y wrt y. 28*c*i*x + 2*i*x + 3*x**3 Find the first derivative of -y**3 + 220*y + 55 wrt y. -3*y**2 + 220 Find the second derivative of -189*q**3 + 3*q + 6 wrt q. -1134*q What is the third derivative of -49*m**3*n*v**2 - 2*m**3 - 2*m**2*n*v**2 - 2*m**2*n*v - 7*n wrt m? -294*n*v**2 - 12 What is the second derivative of -9*y**5 - 55*y**4 - 2*y - 687? -180*y**3 - 660*y**2 What is the first derivative of -18*j*q**2*x + 35*j*q + 74*j*x + 17*j + 2*q**2 wrt x? -18*j*q**2 + 74*j What is the third derivative of 3*c*r**3*z**2 + 205*c*z**2 + c*z + 2*r**3*z**2 - 28*r**3 + r**2*z**2 wrt r? 18*c*z**2 + 12*z**2 - 168 What is the second derivative of -17755*m**2*r**2 - 56*m*r**2 - 5*m - 8 wrt m? -35510*r**2 Find the first derivative of -592*h*t - 62*t wrt h. -592*t What is the derivative of 6822*l + 7547 wrt l? 6822 What is the third derivative of -2*t**5 - 61*t**3 + 46*t**2? -120*t**2 - 366 Find the second derivative of 2*m**4 + 33*m**3 - 1898*m. 24*m**2 + 198*m Find the second derivative of -15*f**2*k**2*z + 9*f**2*k**2 + 9*f*k**2 - 9*f*z + 3*f wrt f. -30*k**2*z + 18*k**2 What is the first derivative of 16*h**3 + 10*h - 100 wrt h? 48*h**2 + 10 What is the first derivative of -4*f*n**2 + 8*f + 3*n**2 - 32*n wrt f? -4*n**2 + 8 Find the second derivative of 41*h**5 - 77*h. 820*h**3 What is the third derivative of 4*n**2*s**5 - 31*n**2*s**4 + 686*n**2*s**2 wrt s? 240*n**2*s**2 - 744*n**2*s Find the third derivative of 6*n**2*v**4 + 5*n**2*v + 17*n*v**6 - 2*v**2 wrt v. 144*n**2*v + 2040*n*v**3 Differentiate -12*j**3*m - 30*j**3 + j + 58*m**3 + 2 wrt m. -12*j**3 + 174*m**2 What is the third derivative of -10*j*x**3 - 58*j - 26*x**5 - 3*x**2 - 2*x wrt x? -60*j - 1560*x**2 Find the third derivative of -22*o**6 + o**5 + 11*o**3 - o**2 - 422 wrt o. -2640*o**3 + 60*o**2 + 66 Find the third derivative of -587*j**5 - 2053*j**2. -35220*j**2 What is the third derivative of 192*w**3 - 3*w**2 - 81*w wrt w? 1152 What is the third derivative of d**2*y**3 - 2398*d**2*y**2 - 1182*y**4 wrt y? 6*d**2 - 28368*y What is the third derivative of -2*o**4*u*y + 7*o**4*u - 9*o**4*y - 9*o**2*u*y + o**2*y - o*u*y + o*y wrt o? -48*o*u*y + 168*o*u - 216*o*y Find the third derivative of 83*d**5 - 180*d**2 wrt d. 4980*d**2 Find the second derivative of 536*b**3*s + 3*b**3 - 123*b*s + 6*s wrt b. 3216*b*s + 18*b Find the third derivative of 5819*s**3 - 3076*s**2 + s. 34914 What is the third derivative of 623*p**4 - 487*p**2 wrt p? 14952*p What is the third derivative of 5*o**4*s**2 - 701*o**4*s - 2*o**2*s**2 - 1540*o**2 - o*s**2 - o wrt o? 120*o*s**2 - 16824*o*s Find the second derivative of -1803*h**3*i + h**3 - 8*h*i - 84*i wrt h. -10818*h*i + 6*h What is the third derivative of -c**3*l**2*u + 2*c**3*l**2*w - 2*c**3*l*w - c**2*l**2*u*w - c**2*l**2 + 2*c*l**2*u*w + c*l*u*w + 3*l**2*u wrt c? -6*l**2*u + 12*l**2*w - 12*l*w Find the third derivative of 1523*w*z**4 + 6*w*z**2 + 540*w*z - 2*z**5 wrt z. 36552*w*z - 120*z**2 Find the second derivative of 2*h*r**4 + 319*h*r**2 - 6*h*r + 4*h + 15*r wrt r. 24*h*r**2 + 638*h What is the second derivative of -96*v**2 - 177*v? -192 Differentiate -2*h*l**3*t**3 + 863*h*l + h*t + 5*l**3 + 438*t**4 with respect to t. -6*h*l**3*t**2 + h + 1752*t**3 Find the third derivative of -198*k**3*q**3 - 2*k**3*q + 3*k**2*q**2 - 53 wrt q. -1188*k**3 Differentiate -2*m*o*r**2 + m*o*r - m*o - m*r**2 - m - 28*o*r + 31*o with respect to r. -4*m*o*r + m*o - 2*m*r - 28*o What is the third derivative of 26*d*q*w*z**3 - 3*d*q*w*z**2 - d*q - 2*d*w*z**3 - 4*q*w*z + 6*q*w - 2*q*z**3 - 2*w*z**2 - z**3 wrt z? 156*d*q*w - 12*d*w - 12*q - 6 What is the derivative of -63*g*h*p + 11*g*h - 3*h*p + 48*p - 1 wrt g? -63*h*p + 11*h Find the second derivative of -59*f**5 + 9*f**4 + f**2 - 26*f - 67. -1180*f**3 + 108*f**2 + 2 What is the derivative of 2*h**3*v + 2*h**3 + 120*h**2*l*v - 77*h**2*l wrt v? 2*h**3 + 120*h**2*l What is the third derivative of 73*a**3*b**3*r - 9*a**3*b**2*r - a*b**3*r + 17*a*b**2*r - r wrt b? 438*a**3*r - 6*a*r Differentiate 4*a**3 - a**2*c**2 - 11*c**2 - 4 with respect to a. 12*a**2 - 2*a*c**2 What is the derivative of m*s**2 + m*s - 165*m + 13*s wrt s? 2*m*s + m + 13 What is the third derivative of 1772*o*u**3 - o*u**2 - o*u - 126*o wrt u? 10632*o What is the second derivative of 23*a*g*t*x**2 + 11*a*g*x - 3*a*t + 25*a*x**2 + 3*a - 2*g*t*x + 3*g*t wrt x? 46*a*g*t + 50*a Find the third derivative of -2735*g**4 - 8*g**2 + g + 154. -65640*g What is the first derivative of -5*b**3*g**3 + 48*b**3 - 1779*b*g**3 - 3 wrt g? -15*b**3*g**2 - 5337*b*g**2 Differentiate 2*k*m**3 - 5793*k - 653*m**4 with respect to m. 6*k*m**2 - 2612*m**3 What is the third derivative of -2398*a**3*g**3*t - 746*a**3 + g**2 - 2*t wrt g? -14388*a**3*t Find the second derivative of 4*p**3*u**3 - 2*p**3 - 7*p**2*u + 27*u**5 wrt u. 24*p**3*u + 540*u**3 What is the third derivative of -4*h**3*p**3 + 4*h**3 + h**2 - 9*p**3 wrt h? -24*p**3 + 24 What is the first derivative of -174*i*p**2 + i*p - 4*i - 26*p**2 + 11*p + 3 wrt i? -174*p**2 + p - 4 What is the second derivative of 179*p**5 - 6*p + 4? 3580*p**3 Find the second derivative of 925*m*s**4 + m*s**3 + 3*m*s - 2*m + 173 wrt s. 11100*m*s**2 + 6*m*s Find the second derivative of 41*w**3 + 8*w**2 + w + 7 wrt w. 246*w + 16 What is the derivative of 2191*d**2*s - 6*d**2 + 8*d - 3 wrt s? 2191*d**2 Find the third derivative of i**5 - 838*i**3 - 547*i**2. 60*i**2 - 5028 Find the first derivative of 284*c**3*l*v + 3*c**3*v - 82*c**3 + 15*c*l*v - c*v wrt l. 284*c**3*v + 15*c*v Find the second derivative of -2518*c*g**5 + 5*c*g + 3*g wrt g. -50360*c*g**3 Find the first derivative of -374*b**3 - 2187. -1122*b**2 What is the third derivative of 38*q**5 + 79*q**2 wrt q? 2280*q**2 Find the third derivative of f**2*g*v**3 + f**2*g*v**2 - 6*f**2*v**3 - 2*f**2*v**2 - f*g*v**2 + 2*g*v**3 + 5*v**2 wrt v. 6*f**2*g - 36*f**2 + 12*g What is the first derivative of -3*d*g**2 + 125*d*g - 132*g**2 wrt d? -3*g**2 + 125*g
{ "pile_set_name": "DM Mathematics" }
t are the prime factors of 953? 953 List the prime factors of 591. 3, 197 List the prime factors of 98686. 2, 7, 19, 53 What are the prime factors of 13570? 2, 5, 23, 59 List the prime factors of 13399. 13399 List the prime factors of 53042. 2, 11, 2411 What are the prime factors of 3672? 2, 3, 17 List the prime factors of 43573. 43573 List the prime factors of 6787. 11, 617 List the prime factors of 4453. 61, 73 What are the prime factors of 606? 2, 3, 101 List the prime factors of 12726. 2, 3, 7, 101 List the prime factors of 1780. 2, 5, 89 List the prime factors of 37222. 2, 37, 503 What are the prime factors of 1352? 2, 13 What are the prime factors of 4010? 2, 5, 401 What are the prime factors of 108670? 2, 5, 10867 What are the prime factors of 82? 2, 41 List the prime factors of 11228. 2, 7, 401 List the prime factors of 7809. 3, 19, 137 What are the prime factors of 1158? 2, 3, 193 What are the prime factors of 867? 3, 17 List the prime factors of 63651. 3, 7, 433 List the prime factors of 30995. 5, 6199 What are the prime factors of 5194? 2, 7, 53 What are the prime factors of 19943? 7, 11, 37 What are the prime factors of 3016? 2, 13, 29 List the prime factors of 80542. 2, 7, 11, 523 What are the prime factors of 3145? 5, 17, 37 What are the prime factors of 14601? 3, 31, 157 What are the prime factors of 5579? 7, 797 List the prime factors of 54873. 3, 7, 13, 67 List the prime factors of 573. 3, 191 What are the prime factors of 39798? 2, 3, 11, 67 What are the prime factors of 743? 743 What are the prime factors of 8368? 2, 523 List the prime factors of 1047. 3, 349 What are the prime factors of 35990? 2, 5, 59, 61 List the prime factors of 3302. 2, 13, 127 What are the prime factors of 6578? 2, 11, 13, 23 What are the prime factors of 2252? 2, 563 What are the prime factors of 46? 2, 23 What are the prime factors of 727? 727 List the prime factors of 8002. 2, 4001 What are the prime factors of 2496? 2, 3, 13 List the prime factors of 18959. 18959 List the prime factors of 1159. 19, 61 List the prime factors of 843. 3, 281 List the prime factors of 14399. 7, 11, 17 What are the prime factors of 715? 5, 11, 13 List the prime factors of 13105. 5, 2621 What are the prime factors of 908? 2, 227 What are the prime factors of 103810? 2, 5, 7, 1483 List the prime factors of 4533. 3, 1511 List the prime factors of 2805. 3, 5, 11, 17 List the prime factors of 349. 349 List the prime factors of 47236. 2, 7, 241 What are the prime factors of 28473? 3, 9491 List the prime factors of 959. 7, 137 List the prime factors of 2887. 2887 What are the prime factors of 49144? 2, 6143 List the prime factors of 9571. 17, 563 What are the prime factors of 23118? 2, 3, 3853 List the prime factors of 7158. 2, 3, 1193 List the prime factors of 1639. 11, 149 List the prime factors of 61. 61 List the prime factors of 2333. 2333 List the prime factors of 1308. 2, 3, 109 List the prime factors of 1525. 5, 61 What are the prime factors of 1045? 5, 11, 19 What are the prime factors of 60159? 3, 11, 1823 List the prime factors of 4566. 2, 3, 761 List the prime factors of 72276. 2, 3, 19, 317 List the prime factors of 2043. 3, 227 What are the prime factors of 59554? 2, 11, 2707 List the prime factors of 337. 337 List the prime factors of 1247. 29, 43 What are the prime factors of 14? 2, 7 What are the prime factors of 3100? 2, 5, 31 What are the prime factors of 66942? 2, 3, 3719 What are the prime factors of 118520? 2, 5, 2963 What are the prime factors of 49417? 49417 List the prime factors of 1733. 1733 List the prime factors of 1126. 2, 563 List the prime factors of 1887. 3, 17, 37 List the prime factors of 10076. 2, 11, 229 What are the prime factors of 404? 2, 101 What are the prime factors of 3203? 3203 List the prime factors of 4822. 2, 2411 What are the prime factors of 6955? 5, 13, 107 List the prime factors of 27802. 2, 13901 List the prime factors of 57566. 2, 107, 269 What are the prime factors of 65902? 2, 83, 397 What are the prime factors of 33394? 2, 59, 283 What are the prime factors of 7462? 2, 7, 13, 41 What are the prime factors of 1033? 1033 What are the prime factors of 22020? 2, 3, 5, 367 List the prime factors of 14047. 11, 1277 List the prime factors of 52449. 3, 17483 What are the prime factors of 9288? 2, 3, 43 What are the prime factors of 20302? 2, 10151 What are the prime factors of 47886? 2, 3, 23, 347 What are the prime factors of 60380? 2, 5, 3019 What are the prime factors of 1396? 2, 349 What are the prime factors of 64170? 2, 3, 5, 23, 31 What are the prime factors of 9278? 2, 4639 What are the prime factors of 3085? 5, 617 List the prime factors of 13976. 2, 1747 List the prime factors of 343. 7 List the prime factors of 39259. 11, 43, 83 List the prime factors of 7355. 5, 1471 List the prime factors of 4417. 7, 631 What are the prime factors of 4027? 4027 What are the prime factors of 1948? 2, 487 List the prime factors of 4169. 11, 379 What are the prime factors of 1715? 5, 7 List the prime factors of 41036. 2, 10259 List the prime factors of 5488. 2, 7 What are the prime factors of 1378? 2, 13, 53 List the prime factors of 466. 2, 233 What are the prime factors of 1052? 2, 263 What are the prime factors of 22123? 22123 What are the prime factors of 23774? 2, 11887 List the prime factors of 33375. 3, 5, 89 What are the prime factors of 11068? 2, 2767 What are the prime factors of 408? 2, 3, 17 List the prime factors of 237. 3, 79 What are the prime factors of 19995? 3, 5, 31, 43 What are the prime factors of 10864? 2, 7, 97 What are the prime factors of 63? 3, 7 What are the prime factors of 47510? 2, 5, 4751 List the prime factors of 53490. 2, 3, 5, 1783 What are the prime factors of 323? 17, 19 What are the prime factors of 2592? 2, 3 List the prime factors of 871. 13, 67 List the prime factors of 366. 2, 3, 61 What are the prime factors of 3554? 2, 1777 List the prime factors of 34969. 11, 17 List the prime factors of 530. 2, 5, 53 List the prime factors of 27358. 2, 13679 List the prime factors of 14032. 2, 877 List the prime factors of 21776. 2, 1361 What are the prime factors of 8379? 3, 7, 19 What are the prime factors of 2832? 2, 3, 59 List the prime factors of 3896. 2, 487 What are the prime factors of 4379? 29, 151 What are the prime factors of 3073? 7, 439 List the prime factors of 18103. 43, 421 List the prime factors of 157. 157 What are the prime factors of 83600? 2, 5, 11, 19 What are the prime factors of 8775? 3, 5, 13 List the prime factors of 11175. 3, 5, 149 What are the prime factors of 3670? 2, 5, 367 List the prime factors of 3681. 3, 409 List the prime factors of 1398. 2, 3, 233 List the prime factors of 45507. 3, 7, 11, 197 What are the prime factors of 138? 2, 3, 23 List the prime factors of 446. 2, 223 What are the prime factors of 1358? 2, 7, 97 What are the prime factors of 1022? 2, 7, 73 What are the prime factors of 690? 2, 3, 5, 23 What are the prime factors of 3822? 2, 3, 7, 13 List the prime factors of 2320. 2, 5, 29 List the prime factors of 11181. 3, 3727 List the prime factors of 606. 2, 3, 101 What are the prime factors of 40861? 29, 1409 List the prime factors of 2658. 2, 3, 443 List the prime factors of 90930. 2, 3, 5, 7, 433 What are the prime factors of 9373? 7, 13, 103 List the prime factors of 228. 2, 3, 19 What are the prime factors of 16065? 3, 5, 7, 17 List the prime factors of 13999. 13999 List the prime factors of 11. 11 What are the prime factors of 1198? 2, 599 List the prime factors of 2782. 2, 13, 107 List the prime factors of 1314. 2, 3, 73 What are the prime factors of 602? 2, 7, 43 List the prime factors of 43. 43 List the prime factors of 150614. 2, 75307 List the prime factors of 9700. 2, 5, 97 List the prime factors of 19340. 2, 5, 967 What are the prime factors of 5701? 5701 List the prime factors of 920. 2, 5, 23 List the prime factors of 2187. 3 List the prime factors of 409. 409 What are the prime factors of 142090? 2, 5, 13, 1093 List the prime factors of 75754. 2, 7, 773 List the prime factors of 11288. 2, 17, 83 What are the prime factors of 25830? 2, 3, 5, 7, 41 List the prime factors of 84974. 2, 42487 What are the prime factors of 148455? 3, 5, 3299 What
{ "pile_set_name": "DM Mathematics" }
2*u**2*(u - 1)**2*(4*u + 1)/5 Determine l so that 42 + 39/2*l - 3/4*l**2 = 0. -2, 28 Let q(z) be the second derivative of -z**7/10080 + z**6/2880 - 5*z**4/4 - 25*z. Let i(t) be the third derivative of q(t). Factor i(k). -k*(k - 1)/4 Let q(j) be the second derivative of 13*j + 3/100*j**5 + 5/2*j**3 + 0*j**2 + 0 - 1/2*j**4. Solve q(d) = 0. 0, 5 Solve 22*s**3 - 127*s**3 - 41*s**4 - 17*s**5 - 39*s**4 - 3*s**5 - 32*s**2 - 13*s**2 = 0. -3/2, -1, 0 Let b(c) be the second derivative of 1/6*c**4 - 1/10*c**5 + 0*c**3 - 2/5*c**6 + 0 + 11*c + 0*c**2. Suppose b(h) = 0. Calculate h. -1/2, 0, 1/3 Factor 0 + 0*s + 0*s**2 + 8/5*s**3 - 2/5*s**4. -2*s**3*(s - 4)/5 Let m(d) be the third derivative of d**5/60 - 7*d**4/4 + 147*d**3/2 - 3*d**2 + 3. Suppose m(w) = 0. Calculate w. 21 Let n = 449 + -446. Let h(y) be the second derivative of 1/6*y**n + 0 - 13/20*y**5 + 1/5*y**6 - 3*y + 7/12*y**4 - 1/2*y**2. Factor h(l). (l - 1)**2*(2*l - 1)*(3*l + 1) Factor 0*j - 3/2*j**5 - 2*j**3 + 0*j**2 - 7/2*j**4 + 0. -j**3*(j + 1)*(3*j + 4)/2 Let 1/4*h**2 + 5/2*h + 0 = 0. What is h? -10, 0 Let w(j) = -4*j**2 + 2*j - 30. Let m(z) = -7*z**2 + 4*z - 55. Let a(f) = -6*m(f) + 11*w(f). Solve a(l) = 0 for l. -1, 0 Let g(h) = 4*h**3 - 3*h**2 + 4*h. Let l(a) = 5*a**3 + 5*a + 567 - 4*a**2 - 567. Let f(n) = -6*g(n) + 5*l(n). Factor f(b). b*(b - 1)**2 Let y(b) be the third derivative of -b**6/660 + b**5/330 + b**4/33 - 4*b**3/33 - 119*b**2. Factor y(q). -2*(q - 2)*(q - 1)*(q + 2)/11 Let b(t) be the second derivative of -3*t**5/160 + 3*t**4/16 - 9*t**3/16 - 2*t + 11. Solve b(x) = 0. 0, 3 Suppose 2*p - 7 = -x, -4*x + 5*x = 5*p + 21. Suppose 3*j = 2 + 1. Factor -3*k**2 - x - j + 12. -3*k**2 Find h, given that 5/4*h**3 + 5/4 + 31/4*h**2 + 31/4*h = 0. -5, -1, -1/5 Let s(x) be the second derivative of x**7/63 - 17*x**6/45 + 47*x**5/15 - 95*x**4/9 + 161*x**3/9 - 49*x**2/3 - 107*x. Determine p so that s(p) = 0. 1, 7 Let w(g) be the first derivative of -8*g**5/5 + 23*g**4 - 42*g**3 + 61*g**2/2 - 10*g - 597. Factor w(s). -(s - 10)*(2*s - 1)**3 Let d(y) be the first derivative of 4*y**3/3 - 17*y**2/6 + 5*y/3 + 47. Let d(m) = 0. Calculate m. 5/12, 1 Let i(g) be the second derivative of -5*g**4/12 + 5*g**3/2 + 70*g**2 - 2*g - 4. Factor i(l). -5*(l - 7)*(l + 4) Let y be (-2694)/(-336)*8 + (-2)/(-14). Let 32/7*l - 256/7*l**2 + y*l**5 + 0 + 752/7*l**3 - 960/7*l**4 = 0. Calculate l. 0, 2/5, 2/3 Let f(g) be the third derivative of 0*g**3 - 1/10*g**5 - 1/2*g**4 + 1/28*g**7 + 1/224*g**8 + 3/40*g**6 + 0 + 5*g**2 + 0*g. Suppose f(k) = 0. Calculate k. -2, 0, 1 Suppose 15 = 3*z + 3*b, 5*z - 3*z - 3*b + 10 = 0. Let n be (z/6*-3)/(-3)*2. Suppose n*u + 6*u**3 + 0 + 8/3*u**2 + 5/3*u**5 + 16/3*u**4 = 0. Calculate u. -1, -1/5, 0 Let s be (0*4/8)/(-1 + -1). Suppose n + 0*b = 2*b + 7, -2*n + 8 = -b. Factor 2*x**2 - n*x**2 + 5 - 4 - x + s*x**2 + x**3. (x - 1)**2*(x + 1) Let t(k) be the first derivative of 1 + 9/20*k**5 + 0*k**2 - k - k**3 + 1/4*k**4. Let f(v) be the first derivative of t(v). Find z such that f(z) = 0. -1, 0, 2/3 Let b(w) be the first derivative of -4/9*w**3 - 10/3*w + 45 + 5/3*w**4 + 1/9*w**6 - 11/3*w**2 + 14/15*w**5. Let b(d) = 0. What is d? -5, -1, 1 Suppose 0 = -95*j + 99*j. Factor 0 - 2/13*n**2 + j*n. -2*n**2/13 Find j such that 0 + 2/3*j**2 - 92/3*j**3 + 0*j = 0. 0, 1/46 Let r = -680 - -1539. Factor -3*q**4 - 4*q**4 + 7*q**3 - r + q**5 - 16*q + 19*q**2 + 839. (q - 5)*(q - 2)**2*(q + 1)**2 Find l such that 21/2*l + 1/2*l**2 + 0 = 0. -21, 0 Let i = -190 - -17101/90. Let o(w) be the third derivative of i*w**5 + 7*w**2 + 0*w**4 - 1/9*w**3 + 0 + 0*w. Factor o(q). 2*(q - 1)*(q + 1)/3 Let f = 189 + -180. Suppose f*n + 2*n - 4*n = 0. Factor n + 0*k**2 + 2/3*k**4 - 1/3*k**3 + 0*k - 1/3*k**5. -k**3*(k - 1)**2/3 Let x(y) = -5*y**3 + 6*y**2 + 9*y - 14. Let s(l) be the first derivative of 5*l**4/4 - 5*l**3/3 - 5*l**2 + 15*l + 23. Let d(z) = -4*s(z) - 5*x(z). Factor d(r). 5*(r - 2)*(r - 1)*(r + 1) Let g(u) = -u - 1. Let j be g(7). Let n = j - -10. Factor -2*z**4 + 2*z**3 + 2*z**3 - 2*z**n + 0*z**2. -2*z**2*(z - 1)**2 Let x = 667/42 + -239/21. Solve -x*v**4 + 6 + 27/2*v**2 + 18*v - 3*v**3 = 0 for v. -1, -2/3, 2 Let l(w) be the third derivative of w**8/2800 + w**7/350 + w**6/200 - 2*w**3 + 22*w**2. Let u(c) be the first derivative of l(c). Factor u(d). 3*d**2*(d + 1)*(d + 3)/5 Let j be (130/(-15))/(2/18). Let t be (-65)/j*4/10. Factor 1/2 - t*x - 1/6*x**2. -(x - 1)*(x + 3)/6 Let u(o) = -23*o**4 - o**2 + 3*o - 3. Let t(z) = -54*z**4 - z**3 - z**2 + 7*z - 7. Let r(p) = -3*t(p) + 7*u(p). Suppose r(s) = 0. Calculate s. -4, 0, 1 Let w(c) be the first derivative of -c**4/4 - 13*c**3/3 - 5*c**2 + 24*c - 311. Factor w(g). -(g - 1)*(g + 2)*(g + 12) Factor 2/5 - 11/5*x**2 - 4/5*x**3 - x. -(x + 1)*(x + 2)*(4*x - 1)/5 Factor -2/11*h**3 + 0 + 114/11*h + 112/11*h**2. -2*h*(h - 57)*(h + 1)/11 Suppose 0 + 18/5*h + 2/15*h**2 = 0. What is h? -27, 0 Suppose -3930*v + 3918*v + 48 = 0. Factor 5/2*s - 25/4*s**v + 5/4 + 35/2*s**3 - 15*s**2. -5*(s - 1)**3*(5*s + 1)/4 Let j(m) = -m**2 - 9*m - 9. Let q be j(-7). Find h such that q*h**5 + 85*h**2 + 14*h**3 + 6*h + 24*h + 35*h**4 + 71*h**3 = 0. -3, -2, -1, 0 Let u(q) = -q**3 - 85*q**2 - 487*q - 6. Let j(x) = 2*x**3 + 86*x**2 + 486*x + 4. Let v(p) = -3*j(p) - 2*u(p). Factor v(f). -4*f*(f + 11)**2 What is h in -h**3 - 2*h + 6*h**3 + 15*h**2 + 13*h - h = 0? -2, -1, 0 Let g be (1 - 3) + (-868)/(-420). Let p(k) be the first derivative of -g*k**3 - 5 + 1/5*k**2 + 0*k. Find y, given that p(y) = 0. 0, 2 Let a be (-21)/(-189) - (244/36 + -7). Factor v**2 + 2/3*v + a*v**3 + 0. v*(v + 1)*(v + 2)/3 Let v = -36 + 39. What is i in -3*i**5 + 0*i**2 + 3*i**2 - i**2 + i**2 + 3*i**3 - v*i**4 = 0? -1, 0, 1 Let a(f) be the second derivative of -f**8/23520 + f**7/8820 + f**6/1260 - 7*f**4/6 + 2*f. Let r(v) be the third derivative of a(v). Let r(y) = 0. Calculate y. -1, 0, 2 Let i(r) be the first derivative of r**4/2 + 16*r**3/3 - 20*r**2 + 281. Let i(d) = 0. What is d? -10, 0, 2 Let z(p) = 8*p**3 + 305*p**2 - 12171*p + 11858. Let y(l) = 5*l**3 + 152*l**2 - 6086*l + 5929. Let q(t) = 5*y(t) - 3*z(t). Factor q(a). (a - 77)**2*(a - 1) Suppose -2*b - 3*b = f, -5*f - 5*b = 0. Let n(q) be the second derivative of 0*q**2 + 1/150*q**6 + 0 + 5*q + f*q**5 + 0*q**3 - 1/60*q**4. Factor n(p). p**2*(p - 1)*(p + 1)/5 Let v(n) = -n**2 - 50*n - 223. Let f be v(-45). What is s in -9/2 - 1/6*s**4 - 5/3*s**3 - 6*s**f - 9*s = 0? -3, -1 Determine o so that -34 + 201 + 5*o**2 - 270*o + 114 - 16 = 0. 1, 53 Let h(x) = 8*x**3 + 47*x**2 + 28*x + 44. Let z(p) = -3*p**3 - 16*p**2 - 9*p - 16. Let j(c) = 4*h(c) + 11*z(c). Factor j(d). -d*(d - 13)*(d + 1) Let d(q) = -11*q**3 + 4*q**2 - 6*q + 2. Let z(m) = 4*m**3 - m**2 + 2*m - 1. Let t(p) = 3*d(p) + 8*z(p). Let w be t(2). Solve 3 + w*r**2 + 4*r - 3 - 2 + 4 = 0. -1 Let v(l) = -l**2 + 12. Let u(q) = 1. Suppose 2*p = -2*d + 2, 5*d + 0*d = -3*p + 11. Let m(c) = p*u(c) + v(c). Factor m(o). -(o - 3)*(o + 3) Let x(o) be the third derivative of -o**5/12 - 5*o**4/6 - 5*o**3/2 - 82*o**2. What is i in x(i) = 0? -3, -1 Let z(w) be the first derivative of w**5/10 - w**3/6 - 74. Determine d, given that z(d) = 0. -1, 0, 1 Let v be (-116)/(-14) - (-22)/(-77). What is g in -4*g**3 - 16*g**2 + v*g + 12 - 3*g**3 + 0*g + 4*g**4 - g**3 = 0? -1, 1, 3 Let z(m) = -2*m**3 + 3*m**2 - m. Let v(j) = -7*j**2 - 6*j**3 - j**2 + 12*j**3 + j + j. Let r(u) = 3*v(u) + 8*z(u). Factor r(l). 2*l*(l - 1)*(l + 1) Let g(r) be the second derivative of r**8/2800 - r**7/350 + r**6/150 + 4*r**3/3 + 7*r. Let j(t) be the second derivative of g(t). Find i, given that j(i) = 0. 0, 2 Let z be (-6)/(-8) - (-5)/4. Let j(t) = 11*t - 4. Let c be j(z). Factor 3*k**3 + 36*k + 24 + c*k**2 + k**3 - k**3. 3*(k + 2)**3 Suppose 8101 + 100*d - 30*d**5 - 135*d**2 - 16192 + 115*d**4 - 70*d**3 + 8111 = 0. Calculate d. -1, -1/6, 1, 2 Let w(m) = -21*m**3 + 29*m**2 + 47*m - 16. Let z(j) = -5*j**3 + 7*j**2 + 11*j - 4. Let c(s) = -6*w(s) + 26*z(s). Suppose c(r) = 0. What is r? -1, 1, 2 Let r = 9376/5935 + 24/1187. Find q such that r*q**2 - 4/5*q**3 + 0 + 0*q = 0. 0, 2 Let y be 12/(-160)*8 - -1. Find i, given that -14/5 - 16/5*i - y*i**2 = 0. -7, -1 Let j(s) be the first derivative of -10*s**6/3 - 44*s**5 + 495*s**4/4 - 320*s**3/3 + 65*s**2/2 - 37. What is l in j(l
{ "pile_set_name": "DM Mathematics" }
d)/(d/d**(1/4)))**(-29) assuming d is positive. d**(-8323/12) Simplify ((j**(-4/5)*j*j**(-7/4))/((j/(j*(j/(j**(-6)/j))/j*j))/(j**9/j*j)))**(-3/37) assuming j is positive. j**(-927/740) Simplify (q/((q**(-2)*q)/q)*q*q/q**7)**18*(q/q**0)**27*(q*q**(1/7)*q)/q**(-3) assuming q is positive. q**(-27/7) Simplify ((w**(-1/4)*w**5)/((w/(w*w**(3/5)))/((w*w**(2/21))/w)))/(w/w**5*(w**(-4)*w)/w)**5 assuming w is positive. w**(19087/420) Simplify ((d/(d*d**(-2/7)))/d**(-1/9))**(1/51)*d*d*d**(-2/5)*d*d**0*(d**(2/23)/d)/d**(-5) assuming d is positive. d**(2473672/369495) Simplify (r/r**0)**10/(r**(-5)*r*r*r*r**4)*(r**16*((r*r/r**(1/10)*r)/r)/r)**8 assuming r is positive. r**(716/5) Simplify (w**8*w**(-7)*w**7/(((w*w**(5/6)*w)/w)/w*w))/((w**(1/3))**(-2/103))**(-3/14) assuming w is positive. w**(26671/4326) Simplify (((p*p**(-5/7)*p**(-29))**(-35))**(-41))**(-1/61) assuming p is positive. p**(41205/61) Simplify ((((v*v/v**(-1/3))/v)**4/(v*v*v/(((v/v**(-3/4))/v)/v)*v**10))**(-38))**24 assuming v is positive. v**7220 Simplify ((z*z**(-2/7)/z)/z)**(-13/3)*(z/z**8)/z*z/(z/z**(2/15))*(z/(z/(z/(z/z**(-2/5))))*z)**37/((z/(z*z**(-1)*z))/z)**(5/4) assuming z is positive. z**(1777/84) Simplify (l/l**2*l*l**(-6)*l*l**(-1)/l*l**(-6)*l*l)**26 assuming l is positive. l**(-286) Simplify (o**(-12/7)/o)**26/(o**8/o)**2 assuming o is positive. o**(-592/7) Simplify (((g/(g**(-9)*g*g))/((g/(g/(g/g**6)))/g)*g**(1/9)*g*g**(1/4))**49)**(17/2) assuming g is positive. g**(460649/72) Simplify (((w**(-1/2)/w)/w)/w)**(-31)/(w**(-1)/w**(-1))*(w**(1/4)/w)**(-12/11)*(w/(((w**1/w)/w)/w))**(-2/9) assuming w is positive. w**(7171/66) Simplify ((n/n**7)**(7/3)*(n**7)**43)**(-36) assuming n is positive. n**(-10332) Simplify (g**1)**47/(g**(-1))**(2/7)*((g/g**(2/7))**34)**43 assuming g is positive. g**(7641/7) Simplify v*v*v*v/(v**(4/17)*v)*v*v*v**35*(v/(v**(-8/7)*v*v)*v)/(v*v/(v/(v/(v*v/(v**(-2/23)*v*v*v))))) assuming v is positive. v**(103991/2737) Simplify (u*u**(3/7)*u/u**(-3)*(u**(-1/2))**(2/25))/((u*u/(u*u/(u**2*u*u))*u*u)**(2/27)/(u**(5/6)*u**(-4/3))) assuming u is positive. u**(13999/3150) Simplify ((k/k**(-18)*k/k**18*k)/(k**(-6/13)/(k**(9/7)/k)))**16 assuming k is positive. k**(5456/91) Simplify (((v*v**(-7)*((v**(-3/7)/v)/v*v)/v*v)**(-3/17))**26)**(12/13) assuming v is positive. v**(3744/119) Simplify (i/i**9*i*i**(-4)*(i*i**(2/3))/(i**17*i))**5 assuming i is positive. i**(-410/3) Simplify x**(-3/7)*x**(-1/9)*(x/((((x**(3/7)*x)/x)/x)/x)*x)**(-2/27) assuming x is positive. x**(-152/189) Simplify ((q**26)**(-49)/(q**(1/4))**(-17))**(1/11) assuming q is positive. q**(-5079/44) Simplify ((p**(-1))**21/(p**(2/3)*p)**(11/5))/((p*p/(p*p*p**(-2))*p)/p*p**(5/7))**4 assuming p is positive. p**(-746/21) Simplify (((q/((q**(-2)/q*q)/q*q))/q)**6*(q/(q/q**(-2/3)))**2)/(q**(-1/7)*(q/q**(5/2))/q*(q**(1/3))**(-14/13)) assuming q is positive. q**(7463/546) Simplify (g*g**(-6/5))/(g**4*g)*(g/(g/(g*(((g/(g/(g*(g**6*g)/g)))/g)/g)/g)))/(g/(g/(g**6/g)))*((g**(2/23)/g*g)/g**9)**(-1/41) assuming g is positive. g**(-573/115) Simplify (((q/q**(2/5)*q*q)/q*q*q**(-1/5))/(q**(-12)*q**(4/13)*q))**20 assuming q is positive. q**(3404/13) Simplify ((i**3/i)/(i**(-14)/i)*i*i**(2/15)*i*i/(i/((i*i**(-3/10))/i)))**(-8/7) assuming i is positive. i**(-452/21) Simplify ((d**(-5))**(-3/37)/(d**(2/5))**(-17))**(-4/9) assuming d is positive. d**(-5332/1665) Simplify (d**(2/11)/(d/d**1))**(-6)/(d*d**1*d/d**(-7)*(d/(d*d/(d**(-1)/d)*d))/(d/d**6)) assuming d is positive. d**(-133/11) Simplify (((((i**(-3/10)/i)/i)**38)**(-10/7))**(-5/3))**3 assuming i is positive. i**(-4370/7) Simplify (k/(k**(-20)*k)*k*k*k**(5/4)*(k/k**(-8)*k)**(1/74))**24 assuming k is positive. k**(20766/37) Simplify ((a/(a/a**(-2/5)))**(2/7)*(a**(-2))**(-4/13))**(-39) assuming a is positive. a**(-684/35) Simplify (((o/o**4*o)**10/(((((o/o**(-5))/o)/o*o*o*o)/o)/(o*o**13)))**(-1))**(12/5) assuming o is positive. o**(144/5) Simplify (l**1*l)**(-40)/(l**(2/7)*l/l**(-2/3))*(l*(l/(l**(-1/2)/l))/l*l**(-1/5))/(l**(-2/7)/((l/l**(-1))/l)) assuming l is positive. l**(-2351/30) Simplify ((i/(i/((((i/i**(-2/3)*i)/i)/i)/i)))**22)**(-2/15)*((i**(1/3))**(-19))**32 assuming i is positive. i**(-9076/45) Simplify v**(17/3)/(v/v**4)*v**(-34)*v**(-2/25) assuming v is positive. v**(-1906/75) Simplify (c**1/(c*c**(3/13)))**(-5/3)*((c/c**(3/5))/c)/c*c*c*c*c**0*c*((c**1*c)/c*c*c)**(4/25) assuming c is positive. c**(1061/325) Simplify (d**(-2/23)/d**(-1)*(d/d**(-12))/d**(-2/13))**(6/11) assuming d is positive. d**(25236/3289) Simplify (i**(-5)/i*i**(4/5)/i*(i**(2/3)*i)/i*i*i**(2/3))/((i**(-4)*i**4)/(i/(i*(i/(i*i*i*i**(-1)))/i)*i)**43) assuming i is positive. i**(1877/15) Simplify j**32*j**(-19/5)*j**(-3/4)*j**(-8/7) assuming j is positive. j**(3683/140) Simplify ((i**(1/3))**(8/3))**(1/4)*(((i/(((i*i**(-5)*i)/i)/i))/i)/(i*i**(1/2)))**(15/2) assuming i is positive. i**(953/36) Simplify o**(2/7)/o**4*o**9/o**(-8)*((o**(-13)/o*o*o)/(o*o**6))**(-1/27) assuming o is positive. o**(2644/189) Simplify (((p*p*p**(-9/7))/p**(2/23))/((p**(-11)*p)/p)**(8/5))**(-2/29) assuming p is positive. p**(-29346/23345) Simplify ((t/(t*t**(-33)*t)*t*t**(-24))/(t**5)**4)**(-22) assuming t is positive. t**242 Simplify (a**(-1/4)/a*a**(-20)*a*a*a*a**(-3/26)/a*(a*a*((a*a**(-2/73))/a)/a)/a*a)**(-46) assuming a is positive. a**(1605837/1898) Simplify (s*s**(-2/7)/s)**(2/53)*s**0/(((s**(-1)*s)/s)/s)*(s**3/s**4)/(s*s/(s/s**2*s))**(-1/5) assuming s is positive. s**(2577/1855) Simplify (w**1)**(-26)*(w**(-2))**(-3/14)*((w**(-5)*w)/w*w*w**(-7))/((w**(-1/2)*w)/(w/(w*w*w/w**0*w*w))) assuming w is positive. w**(-575/14) Simplify (l**(-1/4)/l**4*((l**1/l)/l)**(-49))/(l*(l*l*l/l**(-4)*l)/l*l*l*l/(l/l**(4/9))*l)**6 assuming l is positive. l**(-287/12) Simplify ((o**(-6)*o)/(o*o**(-2/11)))**(-6)/(((o*o**0)/o)**(1/38)*o**(-5)*o**6) assuming o is positive. o**(373/11) Simplify ((f**(1/2))**(-1)/(f*f**(-16)*f**(-12)*f))**(-1/33) assuming f is positive. f**(-17/22) Simplify (g/(g*g/(g*g**(-2/3))*g))**(-1/55)/(g*g**(-1/7)*g/g**(2/7))*(g/(g**(-1)*g))**16*g**6*g*g/g**(-3) assuming g is positive. g**(5881/231) Simplify ((i**(-27))**30/(i/(i/(i/i**36))*(i/(i*i*i*i**11*i))/i))**(-19/3) assuming i is positive. i**(14440/3) Simplify (b**(-4)/(b**(-1)*b))/(b*b**(2/5)*b/(b*b**(3/7)))*(b**6/(b/b**2))/(b/b**6*b/b**(2/23)) assuming b is positive. b**(4923/805) Simplify ((a**(4/11)/a*a)/a**(3/2)*(a*a**(1/8))/(a**5/a))/(a**(5/2)/((a**(-3)*a)/a)*(a**0)**(-1/11)) assuming a is positive. a**(-837/88) Simplify (l**6*l*l/(l*l*l**(-1/10)*l)*(l/(l/l**(-2/23)))/(l**(4/7)*l))**(4/11) assuming l is positive. l**(11082/8855) Simplify (((n/(n**28*n*n)*n*n)/n)/(n/n**(-6)*n)*(n**(-14)/n)/(n*(n/(n/(n*n**19*n)))/n*n))**(-2/19) assuming n is positive. n**(146/19) Simplify (g*g**(-1/2)*g*g*g)**(1/17)/((g*g**(2/7))/g)**(-2/23)*g**(2/5)*g*g*g**(2/3)*g**1/((g/(g*(g*(g**(1/2)*g*g)/g)/g))/g) assuming g is positive. g**(279067/41055) Simplify (y*((y/y**(4/5)*y*y*y)/y)/y*y*y*y**(-1/2))**(2/11)/(y**(-2/7)/y*y**2/y)**43 assuming y is positive. y**(4989/385) Simplify (((k**15*k*k*k)/(k**(-1/9)/k))/(k**(-5)/k)**(1/3))**(-33) assuming k is positive. k**(-2090/3) Simplify ((k**(2/3)/(k*k**2*k*k))/(k**2)**(-3/2))/((k**(2/3))**(-4/9)*k*k*(k**(-1/6)/k)/k*k*k*k*k**(5/4)) assuming k is positive. k**(-553/108) Simplify (n**(-1/3))**(-2/11)/(n**(-2)*n**(-2)*n)*(n**(-1/2)/(n/n**(-3/7)))**(-6/5) assuming n is positive. n**(6208/1155) Simplify (c*c**(-2)*c)/c**(2/13)*c**(3/7)/c**(1/6)*(c*c**1)/c**(-6)*(c/(c*c**5))/c*c/c**(-1/5) assuming c is positive. c**(9031/2730) Simplify ((t*t*t/(t*t**(-1/2)))**(-21))**(-38)/((t*t*t/t**(-2/7)*t*t)/t**(-1/2))**(1/4) assuming t is positive. t**(111639/56) Simplify g**(-2/5)*g/(g**(-3)/g)*(g**1)**(-6)*((g/(g**(-6)*g))/(g**(-4)/g*g))/(g*g*g/g**(-2/5)*g*g)**(-6/7) assuming g is positive. g**(463/35) Simplify ((((b/b**(-7/3)*b)/(b**(-2/3)*b))**20)**1)**42 assuming b is positive. b**3360 Simplify ((l**21/l)/l)/((l**9*l)/l)*(l**(-9/7))**(-2/15) assuming l is positive. l**(356/35) Simplify (((k*(k/(k*k**(1/2))*k)/k)/k*k)/(k/(k*k**(-4)*k))*(k/(k*k**(2/3)))**(1/10))/((k*k*k**0)**34/(k**0)**(-2/149)) assuming k is positive. k**(-2117/30) Simplify ((b**16/b)/((b*(b*b/b**0)/b*b*b)/b))**1/((b/(b/b**(-1/7))*b*b*b/(b/((b/(b/b**(-8)))/b)))/(b**(-1/4)/(b*b/(b*b*b**
{ "pile_set_name": "DM Mathematics" }
*o**2 - 103*o + 1. Determine b(4). 5 Let q(z) = -2*z - 55. Calculate q(-27). -1 Let n(a) = a**3 + 2*a**2 - 10*a + 8. Give n(2). 4 Let j(x) = -x**2 + 39. Give j(6). 3 Let g(b) = -b**3 - 7*b**2 - 4*b + 19. Calculate g(-6). 7 Let n(v) = -2*v**3 + 12*v**2 - 5*v + 1. Determine n(5). 26 Let w(n) = -n**3 + n**2 + 118. Give w(0). 118 Let g(u) = -2*u**2 - 13*u + 19. Calculate g(-8). -5 Let q(o) = o**3 + 11*o**2 + 12*o - 2. What is q(-10)? -22 Let c(y) = -3*y**2 + 22*y - 11. Give c(7). -4 Let o(n) = n**3 - 5*n**2 - 3*n + 8. Give o(5). -7 Let q(u) = 13*u - 22. What is q(2)? 4 Let m(x) = -x + 12. Determine m(4). 8 Let k(w) = 37*w + 511. Determine k(-14). -7 Let x(l) = l**3 - 18*l**2 + 14*l + 61. Determine x(17). 10 Let x(v) = -v**3 - 3*v**2 - 2*v + 3. Give x(-4). 27 Let y(m) = -3*m**2 + m + 1. Calculate y(-1). -3 Let y(p) = 23*p - 22. Give y(1). 1 Let h(o) = -4*o - 5. What is h(-3)? 7 Let h(k) = -k**3 - 11*k**2 - 10*k + 1. Give h(-10). 1 Let q(y) = -19*y + 30. Give q(5). -65 Let r(q) = 4*q**2 + 28*q - 13. Calculate r(-7). -13 Let f(q) = -2*q - 56. Determine f(-33). 10 Let w(v) = -8*v - 27. Determine w(-5). 13 Let n(k) = 5*k + 64. Give n(-14). -6 Let t(u) = 2*u**3 + 2*u**2 - 12*u - 1. Determine t(3). 35 Let h(s) = -5*s**2 - 7*s - 9. What is h(-2)? -15 Let w(h) = h**3 - 5*h**2 + 10*h - 30. What is w(4)? -6 Let p(g) = g**2 + 14*g - 34. Calculate p(-15). -19 Let p(l) = -l - 3. Give p(-14). 11 Let q(s) = -s**3 + 4*s**2 + 4*s + 4. Determine q(5). -1 Let x(q) = -2*q**3 - q**2 + q - 3. Give x(3). -63 Let l(p) = -p**2 + 11*p + 12. Give l(11). 12 Let v(z) = 2*z**2 - 11*z - 10. What is v(6)? -4 Let t(p) = -32*p - 2. Calculate t(-1). 30 Let l(r) = 2*r**2 - 11*r - 11. Give l(-4). 65 Let p(k) = -k**2 + 2*k - 28. What is p(5)? -43 Let n(h) = -h**3 + 9*h**2 + 13*h - 14. Calculate n(10). 16 Let a(p) = -p**3 + 5*p**2 + 8*p - 9. Calculate a(6). 3 Let p(y) = 3*y - 13. Give p(8). 11 Let k(j) = 8*j**3 - j**2 + j. Determine k(1). 8 Let b(y) = -y**2 + y - 3. What is b(2)? -5 Let v(b) = 9*b - 1. What is v(-1)? -10 Let g(z) = 2*z**2 + 6*z + 9. What is g(-4)? 17 Let p(g) = 3*g**2 - 16*g - 18. What is p(8)? 46 Let p(w) = -w**3 + 2*w**2 + 2. Determine p(-3). 47 Let i(l) = 2*l**2 - 8*l + 3. Calculate i(4). 3 Let h(n) = -2*n**2 - 30*n - 93. Determine h(-4). -5 Let i(m) = m**2 - 16*m + 80. Determine i(10). 20 Let l(w) = -19*w - 75. Give l(-6). 39 Let j(i) = i + 15. Calculate j(-16). -1 Let p(u) = -7*u - 15. Calculate p(-6). 27 Let a(g) = -g**2 + 3*g - 6. What is a(8)? -46 Let l(u) = u**3 - 7*u**2 - 11*u + 12. Determine l(8). -12 Let x(q) = -29*q - 12. Determine x(-1). 17 Let r(t) = 2*t - 10. Calculate r(9). 8 Let a(p) = p + 13. Give a(-8). 5 Let g(n) = -14*n - 7. Determine g(-2). 21 Let d(w) = -2*w**2 + w. What is d(-4)? -36 Let c(s) = -s + 14. What is c(14)? 0 Let f(g) = -3*g**2 + 17*g + 1. Determine f(10). -129 Let h(z) = 20*z + 7. What is h(-1)? -13 Let m(p) = p**3 + 10*p**2 + 6*p + 11. Give m(-9). 38 Let v(d) = 7*d. Give v(-2). -14 Let s(w) = w + 9. What is s(12)? 21 Let r(s) = -21*s - 6. Give r(7). -153 Let f(v) = v**3 - 9*v**2 - v + 7. Determine f(6). -107 Let n(x) = x**2 - 17*x - 19. Give n(18). -1 Let c(s) = 94*s - 88. What is c(1)? 6 Let h(u) = 5*u + 42. Give h(-9). -3 Let r(h) = h**2 - 4*h - 19. Calculate r(12). 77 Let v(r) = -r**3 + 7*r**2 + 5*r + 9. Give v(7). 44 Let f(b) = -7*b**3 + 14*b**2 - 11*b - 3. What is f(1)? -7 Let m(z) = -z + 6. Give m(-12). 18 Let i(h) = h**3 - 7*h**2 - 6*h - 17. What is i(8)? -1 Let f(u) = -7*u - 2. Calculate f(1). -9 Let c(w) = 2*w + 2. Give c(3). 8 Let r(i) = i**3 - 4*i**2 - i - 5. Give r(4). -9 Let z(k) = 5*k**3 + 40*k**2 + k + 10. Determine z(-8). 2 Let m(v) = -v**2 - v - 3. Calculate m(-3). -9 Let p(w) = -w + 3. What is p(2)? 1 Let h(x) = x**3 - 4*x**2 - 20*x - 22. Give h(7). -15 Let a(q) = -3*q**2 + 15*q - 14. What is a(5)? -14 Let i(w) = -3*w**3 - 5*w**2 - 7*w - 9. Calculate i(-2). 9 Let q(x) = -x**2 + 6*x + 82. Determine q(12). 10 Let s(n) = n**2 + 14*n. Determine s(-15). 15 Let y(u) = 9*u + 149. Give y(-16). 5 Let g(j) = -2*j**3 + 9*j**2 + 6*j + 2. Calculate g(3). 47 Let f(w) = -3*w**2 + 27*w + 3. Give f(9). 3 Let b(k) = -k**3 + 13*k**2 + 31*k - 24. Calculate b(15). -9 Let k(l) = -l**2 - l - 1. What is k(-7)? -43 Let x(j) = j + 4. Give x(4). 8 Let i(m) = m**3 - 12*m**2 - 8*m - 17. What is i(13)? 48 Let l(o) = -2*o**3 + o**2 - 3*o + 2. Give l(1). -2 Let r(b) = b**2 + 13*b + 16. Calculate r(-14). 30 Let t(q) = -4*q. Give t(2). -8 Let b(a) = a**3 - 5*a**2 - a - 6. Determine b(5). -11 Let a(b) = 6*b - 1. Determine a(-2). -13 Let i(p) = -2*p**3 - 3*p**2 - 7*p - 13. Calculate i(-2). 5 Let i(q) = q**2 - 13*q + 36. Determine i(15). 66 Let d(m) = m**2 + 9*m - 15. Give d(-9). -15 Let l(o) = 2*o**2 + 18*o + 18. Give l(-8). 2 Let g(l) = l**3 + 6*l**2 - 3*l - 11. Calculate g(-6). 7 Let u(k) = 5*k + 40. Give u(-8). 0 Let d(o) = -2*o + 38. Determine d(19). 0 Let b(z) = -z**3 - 19*z**2 + 20*z - 23. Give b(-20). -23 Let d(p) = p**2 - 4*p - 5. What is d(6)? 7 Let u(b) = -2*b - 29. What is u(7)? -43 Let g(l) = -3*l**2 - 10*l + 1. Calculate g(-7). -76 Let y(x) = 3*x - 42. Calculate y(16). 6 Let t(n) = -n**2 - 16*n - 14. Determine t(-15). 1 Let l(h) = h**3 - h**2 + h - 1. Calculate l(-2). -15 Let q(g) = 19*g - 118. Give q(6). -4 Let m(n) = 10*n**3 - 2*n**2 + n + 2. Determine m(-1). -11 Let m(k) = -27*k + 2. Determine m(2). -52 Let z(k) = -16*k + 11. Calculate z(-1). 27 Let c(b) = 2*b**3 + 37*b**2 - 17*b + 41. Calculate c(-19). 3 Let w(t) = 2*t - 12. What is w(4)? -4 Let b(p) = -4*p**2 + 39*p + 18. Give b(10). 8 Let z(p) = 2*p**3 - 16*p**2 + 19*p - 14. Calculate z(7). 21 Let q(a) = a**2 - 60*a + 170. Determine q(57). -1 Let i(v) = 2*v**3 - 3*v**2 - 7*v - 4. Calculate i(-2). -18 Let r(u) = -4*u - 19. Determine r(-7). 9 Let h(s) = -2*s**3 - 19*s**2 - 39*s + 3. Calculate h(-3). 3 Let o(u) = 6*u**2 - 2*u - 5. What is o(2)? 15 Let p(c) = -c**3 + c**2 - 5*c + 8. What is p(3)? -25 Let g(s) = s**3 + 10*s**2 + s + 11. What is g(-10)? 1 Let h(v) = v**3 - 37*v**2 + v + 41. Determine h(37). 78 Let p(d) = -d**2 - 4*d. Calculate p(-3). 3 Let d(o) = -2*o**2 - 9*o + 58. What is d(-8)? 2 Let t(q) = 2*q + 14. Determine t(-11). -8 Let l(i) = -i**3 - 9*i**2 + 7*i + 60. Give l(-9). -3 Let u(m) = m**3 - 10*m**2 + 8. Determine u(10). 8 Let c(n) = -n**2 - 2*n + 25. Determine c(0). 25 Let g(k) = -27*k**2 + 17*k + 16. Calculate g(-1). -28 Let w(d) = -7*d**2 - 3*d. Calculate w(-3). -54 Let m(q) = q**2 - 3*q - 26. What is m(-4)? 2 Let u(g) = g**3 - 11*g**2 - 9*g + 10. What is u(12)? 46 Let i(r) = r**3 - r**2 + 2*r - 17. What is i(0)? -17 Let t(c) = -20*c - 63. Determine t(-3). -3 Let a(x) = -7*x - 6. What is a(-17)? 113 Let b(r) = -r**3 - 5*r**2 + 4*r - 6. Give b(-6). 6 Let n(y) = -3*y**2 - 29*y + 10. Determine n(-9). 28 Let s(f) = -2*f**2 + 16*f + 21. Calculate s(9). 3 Let o(n) = -n**2 - 36. Give o(0). -36 Let c(g) = g**2 - 3*g - 4. Determine c(-2). 6 Let r(u) = -u**2 + 4*u + 18. Calculate r(10). -42 Let i(y) = -y + 19. Determine i(14). 5 Let f(m) = -m**3 + 19*m**2 + m - 23. Give f(19). -4 Let r(z) = -5*z + 1. Determine r(2). -9 Let o(v) = -19*v - 215. What is o(-10)? -25 Let p(n) = 5*n**2 + 2*n + 34. Give p(0). 34 Let z(m) = 2*m**2 - 9*m + 9. Calculate z(5). 14 Let a(w) = w + 8. What is a(-9)? -1 Let a(p) = p - 7. What is a(-28)? -35 Let n(o) = 2*o - 6. Calculate n(2). -2 Let x(g) = 3*g - 19. What is x(8)? 5 Let n(b) = -b**2 + 9*b - 19. Determine n(9). -19 Let t(r) = r**2 + 24*r - 37. Calculate t(-26). 15 Let y(r) = -r**2 - 4*r + 16. Give y(3). -5 Let h(p) = -p**2 + 15*p - 21. Calculate h(14). -7 Let v(n) = 2*n**2 + 3*n - 52. Give v(-6). 2 Let h(l) = -l**2 - 3*l + 5. What is h(0)? 5 Let a(l) = -2*l - 2. Calculate a(9). -20 Let t(i) = 5*i + 15. What is t(-9)? -30 Let c(x) = -x**3 + 2*x**2 - 3*x + 3. Give c(4). -41 Let l(t) = -t**2 - 9*t + 9. Give l(-9). 9 Let l(k) = -k**3 - 12*k**2 - 10*k - 6. Calculate l(-11). -17 Let i(n) = 7*n + 18. What is i(7)? 67 Let a(k) = -k**3 + 6*k**2 - 11*k + 3. Give a(0). 3 Let f(i) = -i**2 - 15*i - 9. Determine f(-9). 45 Let a(j) = -9*j + 5. What is a(3)? -22 Let o(b) = b**3 - 11*b**2 + 12*b - 9. Determine o(9). -63 Let t(k) = k**3 - 6*k**2 + 9*k - 11. Determine t(6). 43 Let y(j) = 3*j - 4. Give y(-5). -19 Let r(p) = -2*p**2 - 22*p - 12. Determine r(-
{ "pile_set_name": "DM Mathematics" }
? (a) -1 (b) 10 (c) -0.139 b What is the nearest to 2/3 in -5, 0.4, 0.1, -3/139? 0.4 What is the nearest to -26 in -1.8, 0, -0.756? -1.8 What is the nearest to -0.3 in 5, 39, 0.095, 4, 2/5? 0.095 Which is the nearest to 1? (a) 4 (b) -0.2 (c) 2/26053 (d) 3 c What is the nearest to 0.4 in 1/4, -4/5, 1/3, -0.4, -5? 1/3 What is the closest to 2/9 in -3, 0.4, 82/239? 82/239 What is the nearest to -1 in -1/6, 48, 0.3, 1? -1/6 Which is the closest to 2/7? (a) -5/4 (b) -8 (c) 25.5 (d) -5 (e) 2/5 e What is the nearest to -0.2 in -0.1, 0.2, -328, -0.16? -0.16 Which is the nearest to -0.1? (a) -56/13 (b) -0.29 (c) -196 b Which is the nearest to -0.1? (a) 0.2 (b) 3 (c) 44 (d) -0.1 (e) -25/7 d Which is the nearest to -24? (a) 4 (b) -0.2 (c) 0.2 (d) 0.008 b Which is the closest to 5? (a) 0.208 (b) 0 (c) -0.5 a Which is the closest to 1/3? (a) 3 (b) -22 (c) -0.3 (d) 0 (e) 3/7 e Which is the closest to -625? (a) 0.157 (b) -2 (c) -0.1 b Which is the nearest to 2/5? (a) -167 (b) -0.2 (c) 65 b What is the nearest to -1/3 in 1/7, -11, -0.4, 1/2? -0.4 Which is the nearest to 3? (a) -2/7 (b) -1/17 (c) -6 (d) 2/49 (e) -2 d Which is the closest to 1? (a) -2 (b) -1/81 (c) 3/82 (d) -0.3 c What is the closest to -46/9 in -14, -1, -17? -1 Which is the nearest to -0.2? (a) -5/11 (b) -1/3 (c) 2 (d) 0.4 b Which is the nearest to 2/5? (a) -1/5 (b) 6 (c) -300 (d) 3 a What is the nearest to -0.04 in -2/9, 1/2, -0.3, -21, -1/9? -1/9 Which is the nearest to 4? (a) 1/26 (b) -5.7 (c) -0.4 (d) -5 a Which is the closest to -118302? (a) 0.3 (b) 4 (c) -4 c Which is the closest to -1/4? (a) -3 (b) -36 (c) 2/41 (d) -1/4 d What is the closest to -1 in -4/3, 1, -0.0248, -9, 10? -4/3 What is the closest to -1/3 in 3/2, 10/19, 5, -74, -1/2? -1/2 What is the closest to 1 in -0.1, 3, 4.1, -16, 0.02? 0.02 What is the closest to 4 in 143, -2/15, -5? -2/15 What is the nearest to -2/11 in 0.3, 27, 119? 0.3 What is the closest to 0.1 in -254, -1, 4, 2/11? 2/11 Which is the nearest to -3? (a) 2/13 (b) 0.172 (c) -0.2 (d) 1/2 c What is the nearest to -2/5 in -0.2, -31/2, 4/5, -1? -0.2 Which is the nearest to -1? (a) 0 (b) 21 (c) 505 (d) -0.4 d Which is the closest to -7? (a) -0.1 (b) 4 (c) 582 a Which is the nearest to 1? (a) -3/4 (b) -5 (c) 4/5 (d) -0.8219 (e) -0.2 c Which is the nearest to 3? (a) -0.4 (b) -4 (c) -50/21 (d) 3.8 d Which is the nearest to 8/37? (a) -0.4 (b) 0.1 (c) -6 b Which is the closest to -1/3? (a) 1 (b) 621/8 (c) -5 a Which is the nearest to 0.02? (a) -12 (b) 4 (c) 12 (d) 8 b What is the closest to -6 in -2/13, 4/3, -0.15? -2/13 What is the closest to -50/7 in -2/21, -0.08, 5, -2/9? -2/9 Which is the nearest to 4? (a) -3 (b) 2 (c) -519 (d) 70 b What is the closest to 1 in -2, 1, 526? 1 What is the nearest to -0.4 in -0.01623, -2, 0.3, -4, -3? -0.01623 What is the closest to 1/2 in 234, 3, 4? 3 What is the nearest to 31 in 58, -0.2, -0.1, 1/2? 58 Which is the nearest to -3/2? (a) 2/3 (b) -0.1 (c) 4 (d) 40/59 b What is the closest to 2 in 295.9, 2/3, -3/2, 0.2? 2/3 What is the closest to -7266 in 2/3, 0.4, 0.29? 0.29 Which is the closest to 0.11? (a) -3/7 (b) -6 (c) -1/7 (d) 0.08 d Which is the closest to 1? (a) -1652 (b) -5/2 (c) 3 (d) 0.1 d Which is the closest to -2/9? (a) -1 (b) -4 (c) -5 (d) -2.5 (e) -0.6 e Which is the nearest to 0.2? (a) 5 (b) 2 (c) -335916 b What is the nearest to -2/3 in 1/2, -904, 1? 1/2 Which is the closest to 0.1? (a) -1/4 (b) 5/9 (c) 30 (d) 0.5 a What is the closest to -3/5 in 3, -11/12, 0.26, 0.04? -11/12 Which is the closest to -2? (a) -1/6 (b) 2/7 (c) 980 a What is the nearest to 1 in 0.4, -2/4147, -20, -1/2? 0.4 Which is the closest to -0.0705? (a) 1 (b) 0.2 (c) 1/3 (d) -1.7 (e) -1 b What is the nearest to 0.3 in 0, -2770/9, 1/5? 1/5 What is the closest to 1 in 1, 2.4, -8, 6, 1.9? 1 Which is the closest to 0? (a) 570 (b) -0.3 (c) -2/15 (d) -4 c What is the closest to 0.22 in 26/3, -1/3, 6? -1/3 Which is the nearest to 24? (a) -4/7 (b) 5 (c) -1 (d) -3/10 (e) 2/23 b What is the nearest to 0.0009 in -0.5, -4, -1/5, 0.3? -1/5 What is the closest to 0.12 in -4, -3, -52, 1, -2/11? -2/11 What is the closest to 2/7 in -0.1, 0, -40, 1/8, -0.025? 1/8 What is the closest to -64 in -7/6, 6, -3/4, -0.1? -7/6 What is the closest to -77 in -3, 0.4, 1, 12, -1/3? -3 What is the closest to 0.2 in -1/6, 2, 1/5, -9? 1/5 What is the closest to 1/4 in 0.841, 0, 5, -1? 0 What is the nearest to 1/990 in -3/13, 0.2, -1/5? 0.2 What is the nearest to -2/17 in 23, -3, 7, 1? 1 Which is the closest to -3? (a) -0.19 (b) -10.9 (c) 1 a What is the closest to 1 in -4, 4/27, 3, 61? 4/27 Which is the closest to 4? (a) 0.2 (b) 6/19 (c) 5 c What is the closest to 257 in 0.05, -5, -0.07? 0.05 What is the closest to -6.4 in 5, 0.008, 1/2, 1/3, 2/25? 0.008 What is the nearest to 0 in 4, -329, 0.4, -2/9, 0.1? 0.1 What is the closest to 2/7 in -23, 3, 1.3, 5? 1.3 What is the closest to -25 in -0.3, 615/16, 2/5, 4? -0.3 Which is the nearest to 1? (a) 9/263 (b) 24 (c) 0.1 c What is the nearest to -317 in 0.04, 5, 1.7? 0.04 What is the nearest to 1.6 in 1.1, -11, 6, -4? 1.1 What is the closest to -73 in 39, 2, -2/13? -2/13 What is the nearest to 2/13 in 14, -55, 1/8, 3/2, 11? 1/8 Which is the nearest to -3? (a) -235 (b) 5 (c) 2 (d) -0.21 (e) 1 d Which is the nearest to 1? (a) -111 (b) 1 (c) 1/7 (d) -20 b Which is the closest to -3/8? (a) 0.5 (b) 41.8 (c) -3 (d) -0.4 d What is the closest to 1/2 in -2/3, -4/5, 1/6, -5/287? 1/6 Which is the closest to 1? (a) -0.5 (b) -0.08 (c) 0.4 (d) 0.047 c What is the nearest to 3/1960 in 4, -3, -2/7, -15, 2? -2/7 Which is the nearest to -0.01? (a) -2/15 (b) -1/7 (c) 1 (d) 0.4 (e) -0.0227 e What is the nearest to -1/2 in -3, -0.5, 50/9, -0.2? -0.5 What is the closest to -7 in 0, -3, -1/43? -3 Which is the closest to 0? (a) -1/2 (b) 6 (c) -1 (d) 1/3 d Which is the closest to 0.076? (a) 0 (b) 5 (c) 1/2 (d) 2/7 (e) 6/13 a Which is the nearest to -5/8? (a) 15 (b) -20 (c) 0.5 c What is the closest to -17/3 in -1/4, 5, 1, 3, 2? -1/4 What is the nearest to 1/5 in 0.4, -1.3, -0.31, -65? 0.4 Which is the closest to 1/7? (a) -3/4 (b) -5 (c) -2 (d) -0.03 d Which is the closest to 633? (a) 7 (b) -4 (c) 3 (d) -2/9 a What is the nearest to -2/3 in 6, -3/4, 58, 3/14? -3/4 Which is the nearest to -4.2? (a) 5 (b) 0.05 (c) -0.3 c Which is the nearest to 0.1? (a) 1/6 (b) 14 (c) -94 (d) -2/7 a Which is the closest to 1? (a) 4/9 (b) 3/149 (c) 8/3 a Which is the closest to 0.1? (a) 0.3 (b) 2/13 (c) 1 (d) -1/4 (e) 253 b Which is the closest to 5? (a) 6/13 (b) 2 (c) 0.2 (d) 0.02 (e) -4 b Which is the closest to -5.27? (a) -0.569 (b) -0.5 (c) 3/8 a What is the nearest to -1/3 in -1, -0.3, -3064? -0.3 Which is the nearest to -2/7? (a) -322 (b) 2/9 (c) 0.5 (d) -0.1 d What is the closest to 0.2 in -124, -0.2, -0.12, -4/7? -0.12 Which is the closest to -17/2? (a) 5 (b) -5 (c) -2/451 (d) 2/11 b Which is the nearest to 10? (a) 0 (b) -0.3 (c) -41 a Which is the closest to -0.0116? (a) -4 (b) -25 (c) 0.1 c What is the nearest to -0.2 in 4, 757.9, 1? 1 What is the closest to -0.2 in 85, 2/3, 5, 1? 2/3 Which is the nearest to -2/7? (a) -0.3 (b) -52 (c) -2.79 a What is the nearest to 0.13 in -1, -3, 3/10, 1, -31? 3/10 Which is the nearest to -1.7? (a) -5 (b) -9/7 (c) -2240 (d) 0.5 b Which is the nearest to -42? (a) 28 (b) -4 (c) 2 (d) -0.4 b Which is the nearest to 2.4? (a) 2 (b) -0.5 (c) 1 (d) 1/3 (e) -5991 a What is the closest to -2/7 in -1, -3/5, 5.6? -3/5 Which is the closest to -2/9? (a) 1/4 (b) -4122 (c) -20 a Which is the nearest to 428? (a) -1 (b) -0.3 (c) 0.5 (d) -5 c What is the nearest to 0 in -40, 2, -34? 2 Which is the closest to -15? (a) 3/4 (b) 2/9 (c) -2 (d) 0.064 c Which is the closest to 1/35? (a) 0 (b) -1.25 (c) -2/7 a Which is the nearest to 4? (a) -0.084 (b) 2 (c) 0 b Which is the closest to 2/3? (a) -0.3 (b) -71 (c) 2/5 c Which is the closest to -39? (a) -5 (b) -40 (c) 4/3 b What is the closest to -2/9 in 147, 1, 0.26, -0.4? -0.4 Which is the nearest to -0.3? (a) 1/3 (b) 5 (c) 40.29 (d) -1/5 d Which
{ "pile_set_name": "DM Mathematics" }
it of 196559? 5 What is the hundred thousands digit of 14294615? 2 What is the tens digit of 10399165? 6 What is the tens digit of 2484039? 3 What is the ten thousands digit of 3026146? 2 What is the millions digit of 4068372? 4 What is the units digit of 31754719? 9 What is the thousands digit of 488580? 8 What is the millions digit of 5682044? 5 What is the hundreds digit of 5485286? 2 What is the units digit of 287547? 7 What is the tens digit of 50602? 0 What is the millions digit of 18238863? 8 What is the ten thousands digit of 2133777? 3 What is the hundred thousands digit of 1471536? 4 What is the thousands digit of 343747? 3 What is the tens digit of 9891356? 5 What is the units digit of 567151? 1 What is the thousands digit of 2127173? 7 What is the hundreds digit of 5526944? 9 What is the thousands digit of 93904? 3 What is the millions digit of 1420477? 1 What is the hundreds digit of 7436377? 3 What is the tens digit of 565959? 5 What is the thousands digit of 12888487? 8 What is the hundred thousands digit of 6219959? 2 What is the hundreds digit of 4536075? 0 What is the tens digit of 13247349? 4 What is the hundred thousands digit of 145636? 1 What is the units digit of 86697? 7 What is the tens digit of 5024955? 5 What is the units digit of 882254? 4 What is the tens digit of 377096? 9 What is the ten thousands digit of 1781293? 8 What is the tens digit of 40314? 1 What is the hundreds digit of 1276921? 9 What is the units digit of 1255294? 4 What is the ten thousands digit of 229116? 2 What is the tens digit of 272082? 8 What is the ten thousands digit of 435725? 3 What is the hundred thousands digit of 333004? 3 What is the units digit of 562911? 1 What is the hundreds digit of 1583657? 6 What is the hundred thousands digit of 3531131? 5 What is the hundred thousands digit of 10993427? 9 What is the hundreds digit of 2480098? 0 What is the thousands digit of 153890? 3 What is the units digit of 9598213? 3 What is the hundred thousands digit of 3788682? 7 What is the hundreds digit of 5859935? 9 What is the ten thousands digit of 130647? 3 What is the thousands digit of 2566426? 6 What is the hundred thousands digit of 133025? 1 What is the hundreds digit of 1393? 3 What is the millions digit of 1471091? 1 What is the thousands digit of 2172307? 2 What is the ten thousands digit of 214496? 1 What is the hundred thousands digit of 32946953? 9 What is the ten thousands digit of 8937042? 3 What is the thousands digit of 727943? 7 What is the millions digit of 5252632? 5 What is the millions digit of 2084576? 2 What is the hundreds digit of 119291? 2 What is the thousands digit of 2606292? 6 What is the hundreds digit of 3501751? 7 What is the hundreds digit of 170090? 0 What is the units digit of 537268? 8 What is the hundred thousands digit of 1241101? 2 What is the ten thousands digit of 506073? 0 What is the millions digit of 5683823? 5 What is the units digit of 2349718? 8 What is the ten thousands digit of 7654972? 5 What is the hundred thousands digit of 581783? 5 What is the units digit of 6519531? 1 What is the millions digit of 1337845? 1 What is the thousands digit of 3282869? 2 What is the hundreds digit of 197329? 3 What is the millions digit of 12770776? 2 What is the ten thousands digit of 2993441? 9 What is the ten thousands digit of 980038? 8 What is the hundreds digit of 170332? 3 What is the thousands digit of 13875867? 5 What is the units digit of 235829? 9 What is the millions digit of 15407882? 5 What is the hundreds digit of 8478186? 1 What is the hundred thousands digit of 9810745? 8 What is the millions digit of 3447276? 3 What is the hundred thousands digit of 7601528? 6 What is the millions digit of 15406711? 5 What is the tens digit of 238418? 1 What is the thousands digit of 3525122? 5 What is the hundreds digit of 361341? 3 What is the units digit of 854184? 4 What is the tens digit of 302299? 9 What is the tens digit of 230779? 7 What is the thousands digit of 417651? 7 What is the hundred thousands digit of 218023? 2 What is the ten thousands digit of 7575828? 7 What is the thousands digit of 8512671? 2 What is the hundreds digit of 39001503? 5 What is the hundred thousands digit of 2574611? 5 What is the tens digit of 18356575? 7 What is the units digit of 413958? 8 What is the hundreds digit of 637598? 5 What is the units digit of 980174? 4 What is the hundred thousands digit of 344924? 3 What is the hundreds digit of 966659? 6 What is the tens digit of 2125728? 2 What is the hundreds digit of 989225? 2 What is the units digit of 3413160? 0 What is the ten thousands digit of 13413374? 1 What is the hundreds digit of 1568176? 1 What is the tens digit of 16795181? 8 What is the ten thousands digit of 6313816? 1 What is the ten thousands digit of 918433? 1 What is the millions digit of 11901936? 1 What is the units digit of 53092? 2 What is the units digit of 169358? 8 What is the hundred thousands digit of 253785? 2 What is the tens digit of 1082434? 3 What is the hundreds digit of 31363955? 9 What is the hundreds digit of 5522? 5 What is the tens digit of 12784986? 8 What is the ten thousands digit of 739796? 3 What is the tens digit of 205264? 6 What is the units digit of 78215? 5 What is the units digit of 1490977? 7 What is the hundred thousands digit of 17264284? 2 What is the tens digit of 430617? 1 What is the units digit of 173885? 5 What is the tens digit of 298597? 9 What is the hundreds digit of 23963820? 8 What is the thousands digit of 3982656? 2 What is the units digit of 261930? 0 What is the millions digit of 1374991? 1 What is the hundreds digit of 1695165? 1 What is the tens digit of 234153? 5 What is the tens digit of 733483? 8 What is the ten thousands digit of 478132? 7 What is the hundreds digit of 957861? 8 What is the millions digit of 16539761? 6 What is the tens digit of 557991? 9 What is the thousands digit of 3743303? 3 What is the hundred thousands digit of 428386? 4 What is the ten thousands digit of 78374? 7 What is the tens digit of 597855? 5 What is the hundred thousands digit of 5052107? 0 What is the thousands digit of 23065894? 5 What is the thousands digit of 200752? 0 What is the hundred thousands digit of 1175172? 1 What is the millions digit of 3181648? 3 What is the ten millions digit of 40925866? 4 What is the thousands digit of 284424? 4 What is the units digit of 1043588? 8 What is the hundred thousands digit of 157581? 1 What is the hundreds digit of 80086? 0 What is the millions digit of 5684334? 5 What is the ten millions digit of 24010324? 2 What is the hundred thousands digit of 1803028? 8 What is the millions digit of 26661505? 6 What is the hundred thousands digit of 671303? 6 What is the units digit of 36838? 8 What is the hundred thousands digit of 502880? 5 What is the hundreds digit of 2287612? 6 What is the hundreds digit of 256490? 4 What is the hundreds digit of 3175563? 5 What is the hundreds digit of 794745? 7 What is the units digit of 1655410? 0 What is the units digit of 1475810? 0 What is the hundred thousands digit of 1323098? 3 What is the thousands digit of 26034988? 4 What is the hundreds digit of 393966? 9 What is the thousands digit of 732721? 2 What is the units digit of 266463? 3 What is the hundred thousands digit of 248624? 2 What is the ten thousands digit of 10139? 1 What is the ten thousands digit of 38508480? 0 What is the units digit of 608820? 0 What is the hundreds digit of 283157? 1 What is the hundreds digit of 23334541? 5 What is the ten thousands digit of 3876343? 7 What is the hundred thousands digit of 252705? 2 What is the ten thousands digit of 869963? 6 What is the units digit of 324189? 9 What is the thousands digit of 18751? 8 What is the hundreds digit of 90240? 2 What is the hundreds digit of 88312? 3 What is the tens digit of 731106? 0 What is the hundred thousands digit of 673733? 6 What is the hundred thousands digit of 19141534? 1 What is the tens digit of 2974875? 7 What is the units digit of 1583384? 4 What is the thousands digit of 1825264? 5 What is the units digit of 2139949? 9 What is the thousands digit of 227390? 7 What is the tens digit of 331562? 6 What is the tens digit of 2542417? 1 Wh
{ "pile_set_name": "DM Mathematics" }
out replacement from {a: 2, q: 1, w: 1, v: 1}? 1/5 Three letters picked without replacement from sodki. What is prob of picking 1 k, 1 i, and 1 s? 1/10 Two letters picked without replacement from {h: 1, m: 3}. Give prob of picking 1 h and 1 m. 1/2 What is prob of picking 2 u, 1 a, and 1 x when four letters picked without replacement from {x: 3, u: 3, a: 1, d: 10, w: 2}? 3/1292 Calculate prob of picking 2 r when two letters picked without replacement from rnnkkkknrkn. 1/55 Calculate prob of picking 2 u and 2 q when four letters picked without replacement from ennhuqqhaquhn. 3/715 Three letters picked without replacement from {q: 4, o: 3}. Give prob of picking 3 q. 4/35 What is prob of picking 1 j and 2 s when three letters picked without replacement from jsjsjj? 1/5 Three letters picked without replacement from {t: 4, q: 1, i: 2, w: 1}. Give prob of picking 2 i and 1 q. 1/56 Three letters picked without replacement from {u: 2, y: 2, i: 7}. Give prob of picking 1 i, 1 y, and 1 u. 28/165 What is prob of picking 1 a and 1 u when two letters picked without replacement from guagauuuakauaukjg? 15/68 Two letters picked without replacement from mmhazzcd. Give prob of picking 1 z and 1 d. 1/14 What is prob of picking 2 t when two letters picked without replacement from xmtxkttxtxksmk? 6/91 Calculate prob of picking 1 f, 1 l, and 1 a when three letters picked without replacement from faffoflaee. 1/15 Calculate prob of picking 2 u when two letters picked without replacement from {e: 8, u: 5}. 5/39 Calculate prob of picking 2 z when two letters picked without replacement from {i: 4, z: 2}. 1/15 Two letters picked without replacement from {l: 1, p: 12, n: 3}. What is prob of picking 1 l and 1 p? 1/10 Two letters picked without replacement from rppbprrrpprperr. What is prob of picking 2 p? 1/7 Calculate prob of picking 1 u, 1 z, and 1 f when three letters picked without replacement from {g: 5, u: 1, f: 3, z: 4}. 6/143 Three letters picked without replacement from enttnnwnnqnqeewnwwen. What is prob of picking 1 t, 1 q, and 1 w? 4/285 Four letters picked without replacement from ccccccfcccfcffcffc. Give prob of picking 1 c and 3 f. 4/51 What is prob of picking 1 g and 3 b when four letters picked without replacement from {k: 7, g: 7, b: 4}? 7/765 Three letters picked without replacement from {l: 2, j: 2, g: 2, u: 2}. What is prob of picking 2 g and 1 l? 1/28 What is prob of picking 1 m and 1 l when two letters picked without replacement from sllelolssllmj? 1/13 Four letters picked without replacement from pllplpzpp. What is prob of picking 4 p? 5/126 What is prob of picking 2 u when two letters picked without replacement from uuuuuiuiuuu? 36/55 Two letters picked without replacement from sgahswd. Give prob of picking 1 g and 1 d. 1/21 Four letters picked without replacement from xwsxanin. Give prob of picking 1 i, 1 w, and 2 x. 1/70 Three letters picked without replacement from {w: 5, i: 2}. What is prob of picking 3 w? 2/7 Four letters picked without replacement from {l: 5, v: 1, h: 1, m: 3, s: 3}. What is prob of picking 2 s, 1 v, and 1 h? 3/715 What is prob of picking 2 d when two letters picked without replacement from {y: 2, d: 5}? 10/21 What is prob of picking 2 q when two letters picked without replacement from {w: 2, m: 2, o: 4, q: 4}? 1/11 Two letters picked without replacement from wwgwwwgwwwgwwggwwww. Give prob of picking 1 g and 1 w. 70/171 Two letters picked without replacement from eqqqqqqqqqeq. What is prob of picking 2 q? 15/22 What is prob of picking 1 g and 1 x when two letters picked without replacement from {x: 3, s: 4, b: 7, g: 2, f: 1}? 3/68 Two letters picked without replacement from {s: 6, o: 3, i: 4, d: 2, m: 2}. Give prob of picking 1 s and 1 o. 9/68 What is prob of picking 2 w when two letters picked without replacement from {w: 6, d: 6}? 5/22 Two letters picked without replacement from zyxzztgyzzzzzf. What is prob of picking 1 t and 1 g? 1/91 Calculate prob of picking 2 w and 1 k when three letters picked without replacement from vwwwwwwwkvwwvwvvkv. 15/136 Two letters picked without replacement from {p: 11, v: 1, q: 1, h: 2, m: 5}. Give prob of picking 2 h. 1/190 Calculate prob of picking 2 h when two letters picked without replacement from hnnhnnn. 1/21 Four letters picked without replacement from eedddeeeeemeeddded. Give prob of picking 1 m and 3 e. 2/51 What is prob of picking 1 x and 1 z when two letters picked without replacement from xxxzzzzzzzz? 24/55 Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {k: 4, w: 2, e: 2, r: 2, f: 1, o: 9}. 4/95 What is prob of picking 2 j and 1 x when three letters picked without replacement from {y: 7, i: 1, o: 3, x: 1, j: 2}? 1/364 What is prob of picking 1 e and 1 g when two letters picked without replacement from {y: 2, q: 1, e: 2, g: 1, r: 1}? 2/21 Calculate prob of picking 2 d when two letters picked without replacement from vdddddv. 10/21 Two letters picked without replacement from {t: 1, g: 3, q: 10, y: 1, l: 1, z: 3}. Give prob of picking 1 g and 1 z. 1/19 Calculate prob of picking 2 j when two letters picked without replacement from {h: 3, j: 2, z: 2, t: 5}. 1/66 Three letters picked without replacement from {y: 1, b: 5, m: 3, s: 4, d: 1}. What is prob of picking 1 m, 1 s, and 1 d? 3/91 Four letters picked without replacement from {w: 7, j: 12}. Give prob of picking 3 w and 1 j. 35/323 Calculate prob of picking 1 i and 1 h when two letters picked without replacement from {m: 4, h: 1, r: 2, c: 1, q: 1, i: 6}. 2/35 What is prob of picking 1 o and 1 n when two letters picked without replacement from vnoyyvoovonzzyooovo? 16/171 Three letters picked without replacement from lnnn. What is prob of picking 1 l and 2 n? 3/4 Two letters picked without replacement from zdddddddz. Give prob of picking 2 z. 1/36 What is prob of picking 2 z and 1 e when three letters picked without replacement from zzeze? 3/5 Two letters picked without replacement from psps. What is prob of picking 1 s and 1 p? 2/3 Calculate prob of picking 2 y and 2 c when four letters picked without replacement from yyycyycc. 3/7 Calculate prob of picking 1 l and 3 a when four letters picked without replacement from alllllallallllllllll. 1/285 What is prob of picking 2 c and 2 k when four letters picked without replacement from kcccccccccck? 1/11 What is prob of picking 1 j and 1 f when two letters picked without replacement from {i: 5, q: 1, j: 1, m: 9, f: 2}? 2/153 Two letters picked without replacement from wwwq. Give prob of picking 2 w. 1/2 What is prob of picking 3 i and 1 e when four letters picked without replacement from {e: 1, x: 1, y: 2, i: 5}? 5/63 Two letters picked without replacement from dddqdjhjjdj. What is prob of picking 1 q and 1 j? 4/55 What is prob of picking 1 o and 1 h when two letters picked without replacement from hhhhiioihihhh? 4/39 Two letters picked without replacement from {k: 3, l: 2, e: 1, r: 6}. Give prob of picking 1 e and 1 l. 1/33 Calculate prob of picking 2 p when two letters picked without replacement from papaaapppppppppapaa. 22/57 Four letters picked without replacement from {t: 2, p: 9, a: 1, l: 1}. What is prob of picking 1 l, 1 p, and 2 t? 9/715 Calculate prob of picking 1 s, 1 t, and 1 h when three letters picked without replacement from pwhptwptthsps. 6/143 What is prob of picking 1 b and 1 h when two letters picked without replacement from {b: 8, h: 5}? 20/39 What is prob of picking 1 w and 1 j when two letters picked without replacement from bbbjbbjbjbwwjbbbwb? 4/51 Four letters picked without replacement from thhhhhmtjhhj. What is prob of picking 2 t and 2 j? 1/495 Two letters picked without replacement from {p: 6, c: 4, x: 4}. What is prob of picking 1 x and 1 p? 24/91 What is prob of picking 1 o, 1 t, 1 r, and 1 q when four letters picked without replacement from xxxrjtqoqrxxq? 6/715 Three letters picked without replacement from {z: 3, e: 4, g: 2, b: 8}. Give prob of picking 1 b and 2 e. 6/85 Three letters picked without replacement from {j: 1, u: 1, m: 1, r: 1, g: 1}. What is prob of picking 1 g, 1 j, and 1 m? 1/10 Four letters picked without replacement from lllllllllcllllllll. What is prob of picking 4 l? 7/9 What is prob of picking 1
{ "pile_set_name": "DM Mathematics" }
/15 - 512/5 = 0. Calculate j. -128, -3/4, 1, 2 Suppose j**5/5 + 59*j**4/5 + 1101*j**3/5 + 6949*j**2/5 + 3490*j + 3000 = 0. What is j? -25, -4, -3, -2 Factor 3*u**5 - 2*u**4 - 19*u**3 - 6*u**2. u**2*(u - 3)*(u + 2)*(3*u + 1) What is s in -5*s**5 + 375*s**4 - 7855*s**3 + 29125*s**2 + 31500*s - 122500 = 0? -2, 2, 5, 35 Determine v, given that -2*v**2 + 4275*v - 2137 = 0. 1/2, 2137 Factor i**5/5 - i**4/5 - i**3 - 3*i**2/5. i**2*(i - 3)*(i + 1)**2/5 Factor 10*a**3 - 555*a**2 + 7560*a + 3920. 5*(a - 28)**2*(2*a + 1) Find j such that -j**2/6 + 6*j + 39/2 = 0. -3, 39 Let -2*m**3/5 + 16*m**2/5 + 278*m/5 + 476/5 = 0. Calculate m. -7, -2, 17 Suppose -5*p**2 + 1640*p - 3260 = 0. Calculate p. 2, 326 Find j, given that 3*j**4 - 18*j**3 + 39*j**2 - 36*j + 12 = 0. 1, 2 Factor 4*a**2 - 792*a - 796. 4*(a - 199)*(a + 1) Suppose 5*r**2 - 20*r - 1105 = 0. Calculate r. -13, 17 Factor 3*d**3 + 9*d**2 - 27*d - 81. 3*(d - 3)*(d + 3)**2 Factor 2*k**3/9 + 34*k**2/9 + 6*k - 10. 2*(k - 1)*(k + 3)*(k + 15)/9 Factor 4*d**5 - 20*d**4 + 8*d**3 + 32*d**2. 4*d**2*(d - 4)*(d - 2)*(d + 1) Determine o, given that -9*o**5/2 + 403*o**4/2 + 1134*o**3 + 2024*o**2 + 1296*o + 200 = 0. -2, -1, -2/9, 50 Find w, given that -3*w**3 - 161*w**2 + 219*w - 55 = 0. -55, 1/3, 1 Factor w**3 + 10*w**2 + 24*w. w*(w + 4)*(w + 6) Let y**2/3 + 51*y - 628/3 = 0. Calculate y. -157, 4 Solve 70*k**2 - 395*k - 1320 = 0. -33/14, 8 Factor -27*o**3 + 87*o**2 + 264*o - 720. -3*(o - 4)*(o + 3)*(9*o - 20) Factor -100*d**4 - 140*d**3 + 111*d**2 - 18*d. -d*(d + 2)*(10*d - 3)**2 Find c, given that -c**5/9 - 23*c**4/9 - 18*c**3 - 340*c**2/9 - 200*c/9 = 0. -10, -2, -1, 0 What is b in -2*b**4/3 + 6*b**2 - 8*b/3 - 8 = 0? -3, -1, 2 Factor -3*r**3/2 + 180*r**2 - 11151*r/2 + 10443. -3*(r - 59)**2*(r - 2)/2 Determine m so that -147*m**5/2 + 2289*m**4/2 - 5634*m**3 + 9120*m**2 - 3936*m + 504 = 0. 2/7, 2, 6, 7 Find p such that -3*p**5 + 63*p**4 - 222*p**3 - 1074*p**2 - 1215*p - 429 = 0. -1, 11, 13 Solve 5*y**2 + 30*y - 135 = 0 for y. -9, 3 Factor 4*d**2 + 542*d - 272. 2*(d + 136)*(2*d - 1) Factor -4*k**2 - 4*k + 528. -4*(k - 11)*(k + 12) Factor s**5/9 - 7*s**4/3 + 146*s**3/9 - 112*s**2/3. s**2*(s - 8)*(s - 7)*(s - 6)/9 Factor y**4/2 - 20*y**3 - 504*y**2 + 20736*y. y*(y - 36)**2*(y + 32)/2 Factor -4*a**5 - 8*a**4 + 16*a**3 + 32*a**2. -4*a**2*(a - 2)*(a + 2)**2 Find k such that -k**2/4 + 21*k + 400 = 0. -16, 100 Factor -5*y**3/4 + 90*y**2 - 1375*y/4 + 255. -5*(y - 68)*(y - 3)*(y - 1)/4 Factor f**5/3 - 14*f**4 + 100*f**3 + 2888*f**2/3 + 2176*f + 1536. (f - 24)**2*(f + 2)**3/3 Factor -2*b**4/13 - 2486*b**3/13 - 7446*b**2/13 - 7442*b/13 - 2480/13. -2*(b + 1)**3*(b + 1240)/13 Solve -3*g**2/8 + 6057*g/4 - 12229083/8 = 0. 2019 Factor -4*j**2 - 440*j - 12100. -4*(j + 55)**2 Factor -5*k**4 - 10*k**3 + 5*k**2 + 10*k. -5*k*(k - 1)*(k + 1)*(k + 2) Find h such that 3*h**5/5 - 27*h**4/5 + 9*h**3/5 + 219*h**2/5 + 288*h/5 + 108/5 = 0. -1, 6 Find x such that 4*x**3/9 + 12*x**2 - 352*x/3 + 2240/9 = 0. -35, 4 Let -4*n**5/5 - 16*n**4/5 + 108*n**3/5 + 56*n**2 - 160*n = 0. Calculate n. -5, 0, 2, 4 Solve -5*h**3 - 40*h**2 - 60*h = 0. -6, -2, 0 Factor 6*y**3/19 - 28*y**2/19 + 40*y/19 - 16/19. 2*(y - 2)**2*(3*y - 2)/19 Factor 8*s**3 + 61*s**2 - 85*s - 138. (s - 2)*(s + 1)*(8*s + 69) Factor 2*w**2 - 34*w + 32. 2*(w - 16)*(w - 1) Determine f so that -6*f**4 + 110*f**3 + 328*f**2 + 168*f = 0. -2, -2/3, 0, 21 Find q such that q**5/4 - 47*q**4/2 - 1015*q**3/4 - 650*q**2 = 0. -5, 0, 104 Solve 3*b**3 - 282*b**2 - 573*b - 288 = 0 for b. -1, 96 Factor 12*n**3/7 - 9*n**2 + 9*n - 12/7. 3*(n - 4)*(n - 1)*(4*n - 1)/7 Factor -3*g**3 - 374*g**2 - 11780*g - 7688. -(g + 62)**2*(3*g + 2) Solve -p**4/10 - 3*p**3/10 + 19*p**2/10 + 87*p/10 + 9 = 0 for p. -3, -2, 5 Solve -4*u**5/7 + 220*u**4/7 - 836*u**3/7 + 1028*u**2/7 - 408*u/7 = 0. 0, 1, 2, 51 What is j in -3*j**3/2 + 51*j**2/2 - 273*j/2 + 441/2 = 0? 3, 7 Find r such that -2*r**3 - 842*r**2 - 3344*r - 3336 = 0. -417, -2 Find c such that 2*c**4/5 + 32*c**3/5 - 2*c**2/5 - 32*c/5 = 0. -16, -1, 0, 1 Factor -4*t**2 - 472*t - 468. -4*(t + 1)*(t + 117) Determine g, given that -5*g**3 - 135*g**2 - 255*g - 125 = 0. -25, -1 Find l, given that 2*l**4/15 + 4*l**3/5 - 58*l**2/15 - 76*l/5 - 32/3 = 0. -8, -2, -1, 5 Solve 15*u**2 + 4465*u + 2970 = 0. -297, -2/3 Factor y**3/4 - 255*y**2/2 - 774*y. y*(y - 516)*(y + 6)/4 Solve 308*a**2 + 276*a - 32 = 0. -1, 8/77 Factor 3*a**2 - 32*a - 11. (a - 11)*(3*a + 1) Factor -8*x**3 - 534*x**2 + 134*x. -2*x*(x + 67)*(4*x - 1) Determine z so that 2*z**5/11 - 248*z**4/11 + 1024*z**3 - 212992*z**2/11 + 1048576*z/11 + 8388608/11 = 0. -4, 32 Let 338*c**5 + 25454*c**4/3 + 80816*c**3/9 + 7688*c**2/9 + 64*c/3 = 0. What is c? -24, -1, -2/39, 0 Factor 3*y**3/2 - 8289*y**2/2 + 7634169*y/2 - 2343689883/2. 3*(y - 921)**3/2 Factor 4*w**3 + 28*w**2 - 160*w + 176. 4*(w - 2)**2*(w + 11) Determine r so that 5*r**2/2 + 7*r + 4 = 0. -2, -4/5 Factor -4*f**4 - 156*f**3 + 12*f**2 + 460*f - 312. -4*(f - 1)**2*(f + 2)*(f + 39) Suppose -s**4 - 22*s**3 - 121*s**2 = 0. Calculate s. -11, 0 Factor 32*f**2/3 - 34*f/3 + 2/3. 2*(f - 1)*(16*f - 1)/3 Factor -5*p**5/4 - 155*p**4/2 - 1490*p**3 - 6380*p**2 + 45980*p - 53240. -5*(p - 2)**2*(p + 22)**3/4 Let -2*w**2/9 + 86*w/3 + 524/9 = 0. What is w? -2, 131 Factor 7*b**4/5 + 19*b**3/5 - 6*b**2/5. b**2*(b + 3)*(7*b - 2)/5 What is p in 91*p**3/3 + 89*p**2/3 - 184*p/3 + 4/3 = 0? -2, 2/91, 1 Factor -2*d**3/7 - 52*d**2/7 - 338*d/7 - 288/7. -2*(d + 1)*(d + 9)*(d + 16)/7 Solve l**3 - 141*l**2 + 5040*l - 4900 = 0. 1, 70 Find m, given that -4*m**5 - 72*m**4 - 480*m**3 - 1400*m**2 - 1500*m = 0. -5, -3, 0 Solve -15*h**3 + 55*h**2 + 20*h = 0 for h. -1/3, 0, 4 Find n, given that 2*n**4/5 - 64*n**3 + 3840*n**2 - 102400*n + 1024000 = 0. 40 Find r such that 2*r**4/9 + 2*r**3/9 - 4*r**2 - 32*r/9 + 64/9 = 0. -4, -2, 1, 4 Factor -2*f**3/9 + 10*f**2/9 + 116*f/9 + 176/9. -2*(f - 11)*(f + 2)*(f + 4)/9 Factor 2*k**3/9 - 278*k**2/3 + 38642*k/3 - 5371238/9. 2*(k - 139)**3/9 Factor -o**2/4 + 33*o/2 - 65/4. -(o - 65)*(o - 1)/4 Factor -c**3 + 38*c**2 + 79*c + 40. -(c - 40)*(c + 1)**2 Factor -5*w**4 - 415*w**3 - 1210*w**2 - 800*w. -5*w*(w + 1)*(w + 2)*(w + 80) Find l, given that -5*l**5 - 595*l**4 - 17975*l**3 - 15025*l**2 + 71980*l + 69620 = 0. -59, -2, -1, 2 Let j**3/3 + 4*j**2 - 9*j + 14/3 = 0. Calculate j. -14, 1 Let -a**2 - 2004*a - 1004004 = 0. Calculate a. -1002 Factor 5*i**4 + 1225*i**3 - 1230*i**2. 5*i**2*(i - 1)*(i + 246) Find a, given that -a**5 + 212*a**4 - 417*a**3 - 634*a**2 + 836*a + 840 = 0. -1, 2, 210 Find t such that 2*t**4/5 - 4*t**3/5 - 24*t**2/5 + 16*t/5 + 64/5 = 0. -2, 2, 4 Find m, given that -5*m**3 + 55*m**2 - 195*m + 225 = 0. 3, 5 Determine p so that -p**5/2 - 21*p**4/2 - 123*p**3/2 - 259*p**2/2 - 78*p = 0. -13, -4, -3, -1, 0 What is k in k**3 - 8*k**2 + 5*k + 50 = 0? -2, 5 What is y in -9*y**4 + 57*y**3 + 45*y**2 - 21*y = 0? -1, 0, 1/3, 7 Factor 2*z**2 + 146*z. 2*z*(z + 73) Factor -3*j**3 - 24*j**2 + 12*j + 96. -3*(j - 2)*(j + 2)*(j + 8) Let -f**2/3 + 23*f + 532/3 = 0. What is f? -7, 76 Solve -2*y**2/13 + 16*y/13 + 18/13 = 0 for y. -1, 9 Factor n**5 - 2*n**4 - 18*n**3 - 32*n**2 - 23*n - 6. (n - 6)*(n + 1)**4 Find g, given that -50*g**4 + 20*g**3 + 26*g**2 + 4*g = 0. -2/5, -1/5, 0, 1 Determine u so that -2*u**3/9 - 44*u**2/3 + 30*u - 136/9 = 0. -68, 1 Factor 2*g**3 - 108*g**2 + 408*g - 400. 2*(g - 50)*(g - 2)**2 Suppose 3*z**2 - 324*z + 2400 = 0. What is z? 8, 100 Factor -5*l**2 - 1170*l + 1175. -5*(l - 1)*(l + 235) Let 5*j**2 - 8075*j = 0. What is j? 0, 1615 What is w in 5*w**5 - 275*w**4 + 3350*w**3 + 11750*w**2 + 12325*w + 4205 = 0? -1, 29 Factor -9*a**2/4 + 39*a - 51/4. -3*(a - 17)*(3*a - 1)/4 Solve 4*v**4 - 16*v**3 + 20*v**2 - 8*v = 0. 0, 1, 2 Suppose p**3 + 4*p**2 - 4*p - 16 = 0. What is p? -4, -2, 2 Factor c**3/3 - 2*c**2 - 5*c - 8/3. (c - 8)*(c + 1)**2/3 Factor -3*n**3/5 - 174*n**2/5 + 12*n/5 + 696/5. -3*(n - 2)*(n + 2)*(n + 58)/5 Factor 3*m**2 - 15*m. 3*m*(m - 5) Find s, given that -49*s**5/2 + 651*s**4/8 - 407*s**3/4 + 471*s**2/8 - 31*s/2 + 3/2 = 0. 2/7, 3/4, 1 Factor -4*m**3 - 244*m**2 - 4928*m - 32912. -4*(m + 17)*(m + 22)**2 Factor 3*t**2 + 13884*t + 16063788. 3*(t + 2314)**2 Let -7*w**4 + 45*w**3 - 81*w**2 + 55*w - 12 = 0. What is w? 3/7, 1, 4 Factor 4*v**3 - 60*v**2 + 176
{ "pile_set_name": "DM Mathematics" }
. What is the third derivative of 17*r + g*r**2 - 11*r - 4*r**4 - 6*r wrt r? -96*r Suppose 3*f = -15, 7855 = v + 2*f - 1726. Differentiate 26*o - v - 6*o + 9597 wrt o. 20 What is the first derivative of 70 + 95*k**2 - 2*k**2 + k - k + 107*k**2 wrt k? 400*k Find the second derivative of -20*m - 281*m**3 - 27*m - 12*m + 369*m**3 wrt m. 528*m Suppose 5*q = c - 53, 6*q - 5*q = 5*c - 145. What is the first derivative of 4*s**4 - 2*s**4 - 9 + 7*s**4 + c wrt s? 36*s**3 Let g(z) = -31*z**3 + 32*z**2 + 163*z + 5. Let o(k) = -15*k**3 + 13*k**2 + 81*k + 2. Let r(v) = -2*g(v) + 5*o(v). Find the second derivative of r(n) wrt n. -78*n + 2 Let c(b) be the third derivative of -71*b**4/24 + 12*b**3 - 4*b**2 - 6*b. What is the first derivative of c(r) wrt r? -71 Let m(f) = 3*f - 17. Let v be m(5). Let i(g) = -4*g**2 + 1. Let h(b) = b**2. Let u(t) = v*i(t) - 18*h(t). What is the derivative of u(c) wrt c? -20*c Let o be 0/(-2 - -1) + 4. Let q(n) be the first derivative of 0*n**4 + 2*n - n**o + 2*n**4 - 2 - n. Differentiate q(j) with respect to j. 12*j**2 Let t be (-2)/(-24)*15 + (-1)/4. What is the first derivative of t - g**4 - 18 + 6 wrt g? -4*g**3 Let h(l) be the third derivative of l**8/240 + l**6/18 - 5*l**3/6 - 3*l**2. Let m(d) be the first derivative of h(d). Find the third derivative of m(k) wrt k. 168*k Find the third derivative of -63*w**6 - 4*w**5 - 98*w**6 - w**2 + 4*w**5 - 127 - 206*w**6 wrt w. -44040*w**3 Suppose h = -8*h + 45. What is the second derivative of 38*y**5 + 4*y - 5*y**h + 3*y**5 wrt y? 720*y**3 Let s(p) = p + 10. Let o be s(-6). Let i be (o - 3)/((-2)/(-22)). Find the first derivative of -i + u**3 + u**3 + 10 wrt u. 6*u**2 Let i(z) = 2*z + 5. Let o be i(0). Suppose 1 + 27 = 4*k. What is the third derivative of 2*r**2 + 8*r**o - r**5 - 3*r**2 - k*r**2 wrt r? 420*r**2 Find the second derivative of 0*h + 17 + 2*h - 3*h + 167*h**2 - 144*h**2 - 2*h**3 wrt h. -12*h + 46 Let y(k) be the first derivative of 7 + 12/7*k**7 + 0*k**5 + 0*k**4 - 1/3*k**3 + 0*k**2 + 0*k + 0*k**6. What is the third derivative of y(j) wrt j? 1440*j**3 Let m = 781 + -781. Let r(a) be the third derivative of 5/6*a**3 + 0 - 13/60*a**5 + 0*a - 14*a**2 + m*a**4. What is the first derivative of r(f) wrt f? -26*f Let r(v) = -v**2 + 37*v - 11. Let f be r(12). Differentiate 19 - 113*j**2 + f*j**2 - 55 - 132*j**2 with respect to j. 88*j Let k(c) be the second derivative of 200*c**3/3 - 471*c**2/2 - 8*c - 1. Differentiate k(w) wrt w. 400 Let o(r) = -r**3 - 3*r**2 + 4*r + 4. Suppose -2*m - 2 = 6. Let s be o(m). Differentiate -9*y + 4*y**s + 9*y - 6 wrt y. 16*y**3 Let m(k) be the first derivative of -11*k**4/2 - 112*k**3/3 + 1. What is the third derivative of m(q) wrt q? -132 What is the second derivative of -647*w**2 - 82 - 522*w**2 + 263*w**2 + 23*w + 101 wrt w? -1812 Let n(r) = -r + 12. Let d be n(6). What is the derivative of 13 - 3 + d*q - 2 - q wrt q? 5 Let b(j) = -j**2 + 1. Let y be b(-1). Suppose y = x - 1 - 11. What is the second derivative of -x*w**4 - 3*w + 2*w**4 + w - 5*w wrt w? -120*w**2 Let t(u) = 3379*u**2 + 155*u + 7905. Let v(i) = 65*i**2 + 3*i + 152. Let n(r) = -3*t(r) + 155*v(r). Find the first derivative of n(q) wrt q. -124*q Let x(z) = -z**4 - 2*z**3 + z**2 - 1. Let o(q) = -19*q**4 + 8*q**3 - 6*q**2 - 28*q + 3. Let i(h) = o(h) + 6*x(h). Find the second derivative of i(g) wrt g. -300*g**2 - 24*g Find the first derivative of 16*k + 11*k - 1018 + 1186 wrt k. 27 What is the derivative of -45*n**2 + 38*n**2 - 97 + 34*n**2 wrt n? 54*n Suppose i + r = 2*i - 212, 0 = 2*i - 5*r - 421. What is the second derivative of i*f**3 + 4*f + f - 220*f**3 wrt f? -42*f Let r(p) be the third derivative of 0*p**5 + 1/6*p**6 + 4 + 0*p**3 - 43/24*p**4 + 0*p + 3*p**2. Find the second derivative of r(a) wrt a. 120*a Let w = -19 - -40. What is the second derivative of -w*u**2 - 5 + 3*u + 5 + 24*u wrt u? -42 Let n(g) = 64*g**3 + 3*g**2 + 1. Let m(a) = -65*a**3 - 2*a**2 - 2. Let t(b) = -3*m(b) - 2*n(b). What is the derivative of t(f) wrt f? 201*f**2 Let x = 181/155 - 30/31. Let d(m) be the second derivative of -x*m**5 - 4/3*m**3 + 5*m + 0*m**2 + 0*m**4 + 0. What is the second derivative of d(t) wrt t? -24*t Let q(j) = 0*j**2 + 0*j**2 + 6*j**4 + 7*j**4 - 5 + 5*j**3. Let u(i) = i**3 + i - 1. Let o(v) = -q(v) + 5*u(v). Find the second derivative of o(m) wrt m. -156*m**2 Let o(s) be the second derivative of 0*s**2 + 0*s**3 + 0 + 26*s + 2/3*s**4 - 9/20*s**5. What is the third derivative of o(m) wrt m? -54 Let a(d) = -334*d**5 + 3*d**2 - 3*d - 3. Let q(k) = -669*k**5 + 5*k**2 - 6*k - 8. Let y(c) = 5*a(c) - 3*q(c). What is the second derivative of y(m) wrt m? 6740*m**3 Let b(d) = -d - 1. Let l be b(-3). What is the third derivative of -136*u + 136*u - 17*u**3 + 6*u**l wrt u? -102 Let f = -14 - -19. Let w be 9/(-6) + (-13)/(-2). What is the second derivative of f*h - h - 8*h**2 - 2*h + w*h wrt h? -16 Let n be 182/21 + (-3)/(-9). What is the derivative of 12 + n*w - 7*w - 14*w wrt w? -12 Let u(r) be the second derivative of r**5/4 - 4*r**4/3 - 7*r + 3. What is the third derivative of u(v) wrt v? 30 Suppose -21 = -2*d - 5. Let i = d - 2. Find the second derivative of -i*p + 2*p - 4*p**5 + p wrt p. -80*p**3 Let v be ((-5)/(-3))/(9/(-27)). Let n(w) = w**3 + 5*w**2 - 2*w - 1. Let a be n(v). What is the third derivative of -32*f**2 - 33*f**2 + 53*f**2 - a*f**5 wrt f? -540*f**2 Let h(m) = 2*m**3 + 29*m**2 - 16*m - 9. Let o be h(-15). What is the derivative of o*d - 11 - 37 + 0*d + 7 wrt d? 6 Let d(q) be the third derivative of 0*q**6 + 0 + 0*q**4 - 1/14*q**7 + 31*q**2 + 0*q**5 + 14/3*q**3 + 0*q. What is the first derivative of d(n) wrt n? -60*n**3 Let f(s) = 2*s**4 + s**3 - s - 1. Let w(y) = -7*y**5 - 10*y**4 - 2*y**3 + y**2 + 5*y - 16. Let i(l) = -5*f(l) - w(l). Find the third derivative of i(r) wrt r. 420*r**2 - 18 Let x(i) be the third derivative of -41*i**6/12 + 263*i**3/6 + 14*i**2 + 18. What is the first derivative of x(b) wrt b? -1230*b**2 Let h(m) = -15*m**2 + 28*m - 3. Let r(j) = 27*j + 9 - 4*j**2 - 12*j**2 - 6 - 7. Let c(k) = 4*h(k) - 3*r(k). What is the second derivative of c(t) wrt t? -24 Let f(u) be the first derivative of 0*u**2 + 0*u**3 - 8/5*u**5 + 27*u + 0*u**4 - 2. Differentiate f(i) with respect to i. -32*i**3 Let u(d) be the second derivative of -71*d**7/21 - 53*d**4/6 + 182*d. Find the third derivative of u(i) wrt i. -8520*i**2 Differentiate -39*i**2 + 185*i**2 + 20 - 58 with respect to i. 292*i Suppose -5 = 5*l - 5*d, -l + 5 = -2*l + 5*d. Let r = l + 2. Differentiate -6*k - 4 + r*k - 3 + 4 wrt k. -4 Let i(r) = r**4 + r**3 + r**2 + 2*r. Let u(w) = 108*w**4 + 2*w**3 - 39*w**2 + 8*w - 2. Let a(m) = -4*i(m) + u(m). Find the third derivative of a(o) wrt o. 2496*o - 12 Let z(a) = -3*a - 16. Let l be z(-6). Suppose -4*t + 21 - 5 = 0. Find the second derivative of t*b**2 - 9*b + b**2 + 8*b**2 - 5*b**l wrt b. 16 Let o(l) be the second derivative of 0*l**3 + 0 + 0*l**2 + 1/20*l**5 + 2/5*l**6 - 53*l + 11/4*l**4. Find the third derivative of o(d) wrt d. 288*d + 6 Let j = 22 - 21. Find the second derivative of -28*u**4 + 1 - 2*u - j + 7*u**4 wrt u. -252*u**2 Let m(f) = 14*f**4 + 27*f**2 + 7. Let x(h) = 7*h**4 + 13*h**2 + 3. Let p = -17 - -23. Let n(l) = p*m(l) - 14*x(l). Find the third derivative of n(d) wrt d. -336*d Let k(o) = 40*o + 44. Let j(v) = -40*v - 47. Let f(y) = -6*j(y) - 5*k(y). Differentiate f(q) wrt q. 40 Let u be -2 - (1 - 12/3). Suppose -2*j - 2*j = -5*l - 10, u = j - 2*l. Find the third derivative of -3*r**5 - 12*r**2 + 0*r**j + 8*r**2 wrt r. -180*r**2 Let b(p) = -p**3 - 6*p**2 + 9*p + 16. Let s be b(-7). Find the first derivative of 34*w**s - 65*w**2 - 31 + 31*w**2 + 43*w**3 wrt w. 129*w**2 Find the second derivative of 12 - 10 + 72*u + 179*u**5 - 65*u wrt u. 3580*u**3 Find the third derivative of 26*t**3 + 52 - 14 + 3*t**2 - 13 - t**2 + 45 wrt t. 156 Suppose 7*x - 185 = 2*x. What is the third derivative of -53*a**3 - x + 44*a**2 + 12*a**3 + 37 wrt a? -246 Let h(t) be the first derivative of -32*t**3/3 + 5*t**2/2 + 9*t - 32. Let n(o) = o**2 + o. Let d(s) = -h(s) + 5*n(s). What is the derivative of d(k) wrt k? 74*k Let x(f) = f**4 - f**2 + 1. Let k(y) = -11*y**4 + 4*y**2 - 7*y - 82. Let c(o) = -k(o) - 4*x(o). Differentiate c(b) wrt b. 28*b**3 + 7 Let l(u) be the third deriv
{ "pile_set_name": "DM Mathematics" }
*l*l**0/l*l*l/(l*(l/l**(-3))/l)*l/(l*l**2))/((l*l/(l/((l**(-2)*l)/l*l))*l)**(-8))**(-3/8) assuming l is positive. l**(-38/9) Simplify ((t**(2/7))**(1/20))**3/((t**1*t)**(2/25))**(23/5) assuming t is positive. t**(-1213/1750) Simplify (h**7/h)/(h**(3/4)/h)*(h/(h/(h*h/(h*h*h/h**(1/3)))))/h**(4/9)*(h**(-1))**27*(h/((h**(-1)*h)/h)*h)/(h*h/((h**(-1/2)*h)/h)) assuming h is positive. h**(-769/36) Simplify (x**5/x**(2/9))**(2/9)*((x/(x*x*x**1*x)*x)/x)**(-46)*((x/x**(-3/10))/x)/(x*(x/(x/((x*x/(x/x**(-1/5))*x)/x))*x)/x) assuming x is positive. x**(22285/162) Simplify (d*d/d**(6/13)*d*d/d**(-3/5)*d**(-2/53)*d/((d**30/d*d*d)/d))**(-29) assuming d is positive. d**(2487562/3445) Simplify ((z**0)**40)**(-1/6)*(z*z/(z*z**(-1/11)))/(z/z**6*z*z)*z*z/z**0*z*z**(-2)*z assuming z is positive. z**(67/11) Simplify (a**(-3/4)/a)/a*a**(-2/9)*(a**(-1/2))**(-9/4)*((a/((a/a**(-2))/a))/a*a)**(-43)*a**(-6)/a**(-2/3) assuming a is positive. a**(2579/72) Simplify ((q**(3/2)*q)/q**(-2/3)*(q**(1/3)*q)**14)/(q**(-3)/q**(-5)*q/q**(1/4)*q*q*q*q**7) assuming q is positive. q**(109/12) Simplify ((((t**(-20)/t*t)/t*t)/t*t)/(t/t**(-38)*t))/((t**39/t)/(t/t**(-43))) assuming t is positive. t**(-54) Simplify (s**(2/17)*s**(-1/2)/s*s*s)/(s**(-2))**(-1/24)*(s*s*s**8*s*s*(s/(s**1/s))/s)/(s*(s*s/(((s**(-1)*s)/s)/s))/s)**37 assuming s is positive. s**(-27635/204) Simplify (((r**(-3/11)*r**6)/(r**(6/13)*r/r**9))**(-45))**(-15) assuming r is positive. r**(1280475/143) Simplify ((a**(-1/7)*a**(-4/9))/(a*a**(-6/7)*a*a*a/a**(-1/5)))/(((a/(a/(a/(a*(a/(a**0*a))/a))))/a)**(6/31))**7 assuming a is positive. a**(-1238/315) Simplify ((((v**(-3/2)*v)/v)/v**(2/3))/(v**(-2/7))**(7/8))/((v**(-2/3))**6)**(3/38) assuming v is positive. v**(-365/228) Simplify ((g**2)**(12/7))**(2/81)/((g**0)**(-22))**(-10) assuming g is positive. g**(16/189) Simplify (((g**(2/13))**11/(((g*(g**1/g)/g)/g)/g*g)**37)**(1/42))**33 assuming g is positive. g**(5533/182) Simplify ((y**(2/79)/y)**22/(y*y*y/(y/(y*y/y**3)))**(8/11))**(-49) assuming y is positive. y**(944034/869) Simplify (((l*l**6*l)/l)/l)/l*l**(2/9)*l/l**(1/4)*l**(-1/2)*(l**(3/2)/(l*l**(1/4)))**(-39) assuming l is positive. l**(-77/18) Simplify ((l**(-5/6)/l**(-1/8))/((l*l**(-1/5)*l)/l**(2/9)))/((l*l/(l**2*l))/l*l**(-5)*(l/l**(1/2))**(-10)) assuming l is positive. l**(3497/360) Simplify (z/z**(-1/10)*z**(-1/11)/z)**(-2/3)/((z**(-1))**23*z**(2/7)/z*z**(-8)) assuming z is positive. z**(36623/1155) Simplify (((j**25*j*j*j*j**(3/7)/j*j*j)**(-18))**(-16/9))**26 assuming j is positive. j**(171392/7) Simplify (u**0/u)**25/((u*u/u**1)/u)**27*(u*u**(-9)*u*u*u**(-5))**(7/5) assuming u is positive. u**(-202/5) Simplify i**(-2)*i*i**(-3/2)*(i**(-1/2))**(-14/5)*(i/(i/((i*(i*i**3)/i)/i*i)*i*i)*i**(1/2))**49 assuming i is positive. i**(607/5) Simplify (l**0*l**(-8)*l)**(-35)/(l**15*l/(l*(l*l**(-3))/l)*l)**(-33) assuming l is positive. l**872 Simplify (((l*l/(l/((l/l**(-7/3))/l)))/l*l)**(1/13)*(l**(2/7))**33)**33 assuming l is positive. l**(29084/91) Simplify ((o**2*o*o**(1/5)*o*((o**(-6/11)*o)/o)/o**(-1/6))**37)**26 assuming o is positive. o**(606541/165) Simplify (((u*u**1*u*u)/((u*u**(-21)*u)/u))/(u**(-1))**(5/8))**(-2/17) assuming u is positive. u**(-197/68) Simplify ((c/(c*c**15*c)*c*c*c**(-28)*c)/(c**(-15))**(-12))**(-2/51) assuming c is positive. c**(26/3) Simplify ((a*a/a**0)**(-2)*a*a*a**(-2/9)/a*a**(1/5))/(((a**(-1/2)*a*a)/a)**(-18)/((((a**(-5)*a)/a)/a)/a**(-4))) assuming a is positive. a**(179/45) Simplify (((x/(x/(x/(x*x*x**(1/4))))*x)**(-14/11)/(x*x**(1/10)*((x*x*x*x**6*x*x)/x)/x))**11)**(24/5) assuming x is positive. x**(-12912/25) Simplify (((k*k**(-3/4))**(-21/2)/((k/k**(-3/4)*k)/((k/(k**(-6/7)*k))/k)))**(-48))**(3/17) assuming k is positive. k**(5562/119) Simplify ((n**1)**(-2))**(-24)*(n*(n/(n**(1/3)*n))/n*n*n**(1/8))**(-3/25) assuming n is positive. n**(9581/200) Simplify ((j*j**0)**33*(j*j/(j*j**(2/3)))**(-24))/(j**6/j**(-2/3)*j**(2/7)*j**(2/9)/j) assuming j is positive. j**(1186/63) Simplify (u/(u**(-2/3)/u))/(u*(u/(u**(3/4)/u))/u)*u**(-2/7)*u*((u/u**2)/u)/u*(u**8/(u*u*u**(-1/2)))/(u/u**(2/5)*u)**30 assuming u is positive. u**(-3559/84) Simplify ((s*s*s*s/s**5*s*s)**(2/147)*(s*s**(1/4))**(2/17))**21 assuming s is positive. s**(803/238) Simplify (((o/(o/o**7))/(o**(8/3)*o*o)*o**7/(o/o**5))**(1/34))**(-23) assuming o is positive. o**(-460/51) Simplify q/q**2*q*q/((q/q**(-1/9))/q)*q*q**(2/5)/(q/q**(1/2))*((q**2*q)**(-5/6))**(-34/5) assuming q is positive. q**(1691/90) Simplify ((j**11/j**4)/(j**(-41)/j)**33)**(-48) assuming j is positive. j**(-66864) Simplify ((((s/(s/s**12))/(s*s*s/(s/((s**(2/9)*s)/s))))**(-18))**(37/4))**(-6) assuming s is positive. s**9768 Simplify ((p/(p/(p**(-2)*p*p*p)))/(p*(p*p*p*p**1)/p*p))**39*(p**(-5/4)*p*(p*p*p/(p*p*p*p*p**5))/p)**(-5/3) assuming p is positive. p**(-1727/12) Simplify ((m/(m*m**12))/(m/m**(-2/5))*(m/((m*m**(-4/15)*m)/m))**(2/59))**(4/3) assuming m is positive. m**(-47404/2655) Simplify (b/b**(-2/7))**(3/4)/(b**2*b*b**(-4/7))*(b**(-1/3))**(-1/11)/((b*b**(-1)*b)/b**(-2/9)) assuming b is positive. b**(-7363/2772) Simplify (c/(c**(-1/2)*c))**(-24/7)*c**(-7/5)/c*c**(1/6)*c*(((c/c**0)/c)/c**(-6))/(c**6/(c/c**6)) assuming c is positive. c**(-1669/210) Simplify (x**1)**(-6)/(x**0/x*x*x)**(-50)*((x**(-3)/x)/x**4)**35 assuming x is positive. x**(-236) Simplify (i**(-4/7)/(i*i**(-9)*i))**(-20/7)/(((i/(i*i*i*i**(-1)*i))/i*i)**(-3/7)/((i**(-3)*i)/i*i*i/(i*i**4*i))) assuming i is positive. i**(-1285/49) Simplify n/n**(-1)*n*n*n*n**(-2/13)*n*n*(n*n**(-2/9))/((n**(-2)*n)/n)*(n**(-2)*n**(-1/4))/(n**(2/3))**50 assuming n is positive. n**(-12149/468) Simplify (((h**1/h*h)/(h*h**6*h*h*h))/(h*h*(h/(h/h**4))/h*h*h**(-1/5)))/(h**(-1)*h*h*h*h/((h/h**(-3/5))/h)*h**(-3)/h*h**(-2/3)) assuming h is positive. h**(-188/15) Simplify ((w*w*(w*w**(-8))/w)/((w/(((w/w**(-4))/w)/w))/w))/(w**(-2/5)*w**(-1/3))*(w/(w/w**(1/4)))**0/(((w/(w**(3/7)*w)*w)/w)/w*w**(1/5)) assuming w is positive. w**(-109/105) Simplify (j**(-2/11))**(4/5)/(j**(-2/9)*j**4) assuming j is positive. j**(-1942/495) Simplify ((w**8*w**7)/(w**8/(w**0*w)))/((w**(-1))**(-3/11))**(-9) assuming w is positive. w**(115/11) Simplify ((x**(-3/10)*x**(-1)*x)/(x**2*x)**(-27))**(-1/12) assuming x is positive. x**(-269/40) Simplify ((z**(-2/19)/(z*z**(-6/7)))/((((z/((((((z*z**0)/z)/z)/z*z)/z)/z))/z*z*z)/z)/z**(-3/7)))**16 assuming z is positive. z**(-9952/133) Simplify (o**(-6)*o*o/o**(-5/2)*(o**(-2/7))**(-4))/((o**(-1))**(7/4))**(4/9) assuming o is positive. o**(53/126) Simplify ((q/(q*q/(q**(-2/3)/q)*q*q))**(-2/61))**(-1/52)*((q**(-1/2))**28)**(3/13) assuming q is positive. q**(-7693/2379) Simplify ((k**0)**(-32)/((k/k**(-2/7))/k*k)**3)/(k**(5/4)/((((k*k**5)/k)/k)/k)*(k/(k**(1/4)*k)*k)/(k/(k*k**(-1/8)))) assuming k is positive. k**(-153/56) Simplify (f*f**(2/15)/f*f*f*f/f**2)/((f/(f**0*f))/f)**9*(f/(f*f**(5/3))*f/(f/(f*f**(-5))))/(f**(-2)*f**(-2/9)/f) assuming f is positive. f**(346/45) Simplify ((c/((c/(c**(1/3)*c))/c)*c)**29*(c**(-2/9))**(3/5))/((c**(-1)/c*c)**(-1/26))**40 assuming c is positive. c**(18524/195) Simplify ((((h**19*h)/(h/h**(2/29)))**25)**19)**(16/3) assuming h is positive. h**(4202800/87) Simplify ((l/l**8)/(l**(-2)*l))**(-4)*(l/((l**(-1/10)*l)/l)*(l*l**8)/l)**(-7) assuming l is positive. l**(-397/10) Simplify ((t*(t*t**0)/t)/t*t)**(1/2)/(t*t**(2/7))**(-38)*(t**(2/3)*t**(2/7))/((t*t**(-1/7))/((t*(t*t**(2/11)/t*t)/t)/t*t)) assuming t is positive. t**(23393/462) Simplify (s**0)**(-29)*s**(1/3)*s/(s*s**4/s*s)*((s**(2/3))**(-40))**(-1/89) assuming s is positive. s**(-899/267) Simplify (g*g**6)/g*(g*g**(-3)*g)/g*g*g**4/(g/((g*g/g**0)/g*g))*(g**(2/5))**(-19)*(g**(1/4)/g)**(-1/13) assuming g is positive. g**(639/260) Simplify (d*((d**(1/6)/d)/d)/d*d**(-2/7)*d**(-4)*d/d**(-3)*d)/(d**(-2)/d*d**(-1/3)*d**(-1)*d/(d/(d*d**(-3)))) assuming d is positive. d**(73/14) Simplify ((y**(-1/3))**(3/10)*((y/y**7)/y*y)/(y**(-1/4)/y))/(y**(-2)/y**(-2/7))**(-1/46) assuming y is positive. y**(-15737/3220) Simplify ((f**(-2/55)/f)/f**2*f/(f/(f/(f/(f*f**(-22))))*f)*f**2*f*f)**(-2/37) assuming f is positive. f**(2314/2035) Simplify (((t*((t/(t*t*t**(3/26)*t))/t)/t)/t)/(t/(t*t**(-33)*t*t))*(t**(3/14)/t)**(2/21))**(16/7) assuming t is positive. t**(-1075976/13377) Simplify ((g/(g/g**(1/13))*(g*g**(-1)/g*g)/g)/
{ "pile_set_name": "DM Mathematics" }
t is n(v(u))? 18*u**2 Let w(d) = 25*d**2. Let t(s) = -519*s**2. Calculate w(t(q)). 6734025*q**4 Let z = 2 - -1. Let r(m) = 2*m**2 + 2. Let p(i) = i**2 + 3. Let h(a) = z*r(a) - 2*p(a). Let w(n) = -n**2. Give h(w(j)). 4*j**4 Let k(r) be the third derivative of r**4/8 - 57*r**2. Let z(w) = w. Determine z(k(m)). 3*m Let n(c) = -2*c**2 + 0*c**2 + 3*c**2. Let t(l) = -16*l**2 + 24*l. Let y(s) = 2*s**2 - s + s - s - s**2. Let p(k) = t(k) + 24*y(k). Give p(n(v)). 8*v**4 Let j(p) be the first derivative of -8*p**3/3 - 5. Let i(o) = -2*o**2 + 5*o. Let m(u) = -3*u**2 + 8*u. Let n(s) = -8*i(s) + 5*m(s). Calculate j(n(l)). -8*l**4 Let x(v) = -372*v. Let l(t) = -6*t**2. Give x(l(d)). 2232*d**2 Let u(b) = b. Let a(v) = -v**2 + 3*v - 3. Let i(y) = 2*y - 2. Let g(w) = 2*a(w) - 3*i(w). What is u(g(l))? -2*l**2 Let z(c) = 166*c**2. Let h(s) = -2*s. What is z(h(y))? 664*y**2 Let w(u) be the third derivative of u**5/30 - 5*u**2. Let m(q) = -29*q. Give m(w(y)). -58*y**2 Let y(t) = 2*t. Let r(j) = 7*j**2 - 2*j + 2*j. What is y(r(z))? 14*z**2 Let o(k) = -3*k - 2*k + 2*k. Let u(d) = -1. Let i(q) = -2*q + 4. Let t(g) = -i(g) - 4*u(g). What is t(o(w))? -6*w Let o(q) = -2*q**2. Let y(j) be the third derivative of j**7/420 - j**4/12 - 4*j**2. Let z(g) be the second derivative of y(g). Give o(z(w)). -72*w**4 Let j(k) = 2*k**2. Let t(p) be the second derivative of 1/12*p**4 + 0 + 0*p**2 + 8*p + 0*p**3. Determine j(t(r)). 2*r**4 Let k(f) = -8*f. Let j(m) = -95*m. Let d(o) = -3*j(o) + 35*k(o). Let l(z) = -z. Calculate d(l(p)). -5*p Let m(y) be the second derivative of y**3 - y. Let s(n) = n**2. Give m(s(u)). 6*u**2 Let o(b) = -b + 3705. Let n(g) = 2*g. Give n(o(a)). -2*a + 7410 Let q(h) be the first derivative of h**3/3 + 27. Let j(l) = -3*l**2 - 9. Calculate j(q(g)). -3*g**4 - 9 Let n(w) = 4*w**2 + 5. Let a(l) = -l**2 - 1. Let p(b) = 6*b**2 + 2*b + 1. Let y be p(-1). Let r(o) = y*a(o) + n(o). Let m(s) = -s**2 - 15 + 15. Give m(r(c)). -c**4 Let f(m) = -2*m**2 + 2 - 8*m**2 - 2. Let s(w) = w - 47*w**2 - w + 45*w**2. Determine s(f(g)). -200*g**4 Let t(a) = -7*a**2. Let w(m) = 3*m**2 - 3. Determine w(t(b)). 147*b**4 - 3 Let h(b) = -3*b + 66. Let n(m) = m**2. Give n(h(f)). 9*f**2 - 396*f + 4356 Let w(v) = 40*v. Let a(d) = -2*d**2 + 3. Calculate a(w(b)). -3200*b**2 + 3 Let c(x) = -9*x**2. Let b(n) = 598 - 598 - n. Give b(c(g)). 9*g**2 Let n(f) = 2*f**2. Let c(s) = -4066*s. Give c(n(d)). -8132*d**2 Let z(y) be the third derivative of y**4/24 - 2*y**2. Let s(g) = 3*g - 3*g - g**2. Determine s(z(d)). -d**2 Let m(v) = 2*v. Let f(w) = 3*w. Let c be (-4 - -2)/(2/5). Let z(b) = c*m(b) + 3*f(b). Let p(q) = 4*q**2. Determine z(p(g)). -4*g**2 Let m(i) be the second derivative of i**5/60 + i**3 - i. Let k(l) be the second derivative of m(l). Let a(f) = -3*f. What is k(a(r))? -6*r Let o(n) = -n**2. Let l(z) be the third derivative of 1/6*z**3 + 0*z - 2*z**2 + 0*z**4 - 1/60*z**5 + 0. Let s(h) be the first derivative of l(h). Give o(s(q)). -4*q**2 Let l(x) = 1158*x**2 - x. Let g(o) = o. Calculate l(g(h)). 1158*h**2 - h Let l be ((-35)/28)/((-2)/8). Suppose -3*j + 2*d = 5*d - 21, -3*d + 29 = l*j. Let h(r) = 4*r - j + 2*r + 4. Let q(s) = -s. Calculate h(q(k)). -6*k Let c(s) = 38*s**2 + 50 - 50. Let a(v) = -2*v. What is c(a(j))? 152*j**2 Let j(s) be the third derivative of 4*s**2 + 1/24*s**4 + 0 + 0*s + 0*s**3. Let l(p) = -2*p. What is l(j(v))? -2*v Let m(j) = -4*j**2 + 3*j**2 - j**2. Let k(n) be the second derivative of 3*n**4/4 - 99*n. Calculate m(k(f)). -162*f**4 Let s(y) = 3*y**2 + 5. Let c(g) = -g**2 - 1. Let b(a) = 5*c(a) + s(a). Let p(w) = 19*w. Determine b(p(v)). -722*v**2 Let f(q) = q. Let o(y) be the third derivative of -y**5/30 + y**3/3 - y**2. Let u(i) be the first derivative of o(i). Calculate u(f(v)). -4*v Let v(c) = -2*c**2. Let w be -1 - 1 - (-5 - -1). Let q(f) = -33*f + w + 35*f - 2. Determine q(v(b)). -4*b**2 Let o(k) = -k**2. Let r = 1 + -2. Let s(l) = 1. Let v(m) = 6 + 2*m + 0*m + 0*m. Let q(a) = r*v(a) + 6*s(a). Give q(o(b)). 2*b**2 Let a(t) = -t**2 - 3*t - 3. Let p(k) = -6*k**2 - 16*k - 16. Let v(f) = 16*a(f) - 3*p(f). Let y(d) = 3*d**2. Give v(y(n)). 18*n**4 Let o(g) = 2*g**2. Let w(k) be the second derivative of 17*k**4/12 - 2*k**3/3 - 27*k. Determine w(o(z)). 68*z**4 - 8*z**2 Let p(k) = 5*k - 4*k - 2*k + 3*k. Let h(j) = 4*j + 2*j - j. Determine h(p(q)). 10*q Let w(y) = 4*y**2 - 3*y. Let q(a) = 3*a**2 - 2*a. Let i(n) = -6*q(n) + 4*w(n). Let k(u) = u**2 - 7*u**2 + 2*u**2. Give i(k(m)). -32*m**4 Let g(v) = -8*v**2 + 52*v. Let y(a) = 6*a**2. Calculate g(y(f)). -288*f**4 + 312*f**2 Let c(p) = -p**2 + 4*p**2 + 2*p**2 - 4*p**2. Let q(x) = -2*x. Give q(c(a)). -2*a**2 Let r(h) = h**2. Let k(v) be the first derivative of v + 0*v**2 + 2 - 1/12*v**4 + 0*v**3. Let t(p) be the first derivative of k(p). Give r(t(d)). d**4 Let r(z) = -144*z**2. Let j(o) = -2*o**2. What is r(j(h))? -576*h**4 Let w(f) = 195 - 195 - 36*f. Let i(t) = 2*t**2. Give i(w(h)). 2592*h**2 Let y(b) = -3*b. Suppose 2*h - 2 = 2. Let k(s) = 3*s**2 + 0*s**2 - 5*s**h. Give y(k(v)). 6*v**2 Let b(i) = -i + 1. Let o(k) = -10*k + 9. Let n(u) = -u + 1. Let w(t) = 4*n(t) - o(t). Let f(s) = 10*b(s) + 2*w(s). Let j(z) = -3*z. Give j(f(g)). -6*g Let a(j) = -2*j**2 + 55*j. Let f(r) = 2*r. Give f(a(d)). -4*d**2 + 110*d Let m(x) = -4*x. Let l(g) be the second derivative of 1/3*g**3 - 5*g + 0*g**2 + 0. Give l(m(r)). -8*r Suppose -17 = -2*q + 11. Let p(h) = 1 + 13*h - q*h - 1. Let i(v) be the second derivative of v**3/6 - v. Determine i(p(c)). -c Let z(n) = 2*n**2 - 93. Let l(u) = -2*u**2. Calculate z(l(f)). 8*f**4 - 93 Let t(u) = -u**2. Suppose 2*o = 13 - 9. Let n(z) be the second derivative of 0*z**3 - 1/12*z**4 + 0 + 0*z**o + 2*z. What is t(n(r))? -r**4 Let m(d) = -3 + 3 - 26*d + 1. Let f(b) = -b**2. Determine m(f(a)). 26*a**2 + 1 Let i(q) = -q. Let w(h) be the second derivative of -h**6/90 + h**4/4 + 5*h. Let s(j) be the third derivative of w(j). Calculate i(s(a)). 8*a Let n(z) = 3*z**2. Let i(m) be the second derivative of -5*m**4/6 - 4*m. Determine n(i(w)). 300*w**4 Let i(u) = 14*u**2 - 14. Let r(z) = -2*z**2. What is i(r(f))? 56*f**4 - 14 Let k(z) = -2*z**2. Let y(u) be the first derivative of 4 + 0*u + 2/3*u**3 + 0*u**2. Determine k(y(d)). -8*d**4 Let y(b) = b. Let j(i) = -296*i**2. What is y(j(h))? -296*h**2 Let a(r) = 32*r - 6. Let y(i) = -24*i. Give a(y(o)). -768*o - 6 Let i(k) = k**2. Let u(c) = -1. Let l(a) = -a**2 + 9. Let h(d) = 2*l(d) + 18*u(d). What is h(i(f))? -2*f**4 Let x(i) = i**2. Let k(c) be the first derivative of 5 - 5 + c**3 - 3. Give k(x(s)). 3*s**4 Suppose 5*n + 0 = 10. Let l(i) = -3 + 5*i**2 - 20*i**n + 3. Let a(q) = -q. Determine l(a(x)). -15*x**2 Let f(k) = -3*k**2. Let y(w) = -11*w - 2*w + 17 - w. Let l(s) = -5*s + 6. Let v(j) = -17*l(j) + 6*y(j). What is v(f(a))? -3*a**2 Let p(c) = c**2. Let s(f) be the second derivative of 9*f**4/2 - 2*f - 10. Determine p(s(u)). 2916*u**4 Let c(l) = 30*l**2. Let r(p) = 5*p**2. Calculate c(r(j)). 750*j**4 Let w(z) = 2*z**2. Let k(c) be the second derivative of c**4/6 - c**3/2 - 16*c. Give w(k(y)). 8*y**4 - 24*y**3 + 18*y**2 Let l(h) = 7*h**2 + 2*h**2 - 3*h**2. Let q(s) = 11*s**2 + 7*s + 7. Let m(k) = -5*k**2 - 3*k - 3. Let r(x) = 7*m(x) + 3*q(x). Calculate l(r(z)). 24*z**4 Let l(x) = 10*x. Let u(k) = -4*k**2 - 5. Give u(l(a)). -400*a**2 - 5 Let m(y) be the third derivative of -5*y**4/12 + 7*y**3/6 + y**2. Let b(r) = -1 - 1 - 2 + 7*r - 1. Let q(h) = -7*b(h) - 5*m(h). Let t(l) = 3*l. Give t(q(v)). 3*v Let b(x) = -x**2. Let n(m) = 843*m. Calculate b(n(l)). -710649*l**2 Let c(z) = 2*z. Let v = -2 - -3. Let y(n) = 8*n**2 - 3*n**2 + v - 1. Calculate y(c(o)). 20*o**2 Let l(a) = a. Let f(z) = 8*z. Let n(t) = f(t) - 6*l(t). Let p(s) be the third derivative of s**5/60 - s**2. Give p(n(r)). 4*r**2 Let k(i) = -i. Let b(m) be the third derivative of m**5/15 + 3*m**2. Give b(k(w)). 4*w**2 Let d(z) = -3*z. Let o(p) = 13*p. Let l be (-21)/(-35) + 7/5. Let r(w) = l*o(w) + 9*d(w). Let q(b) be the second derivative of b**4/12 - b. Give q(r(h)). h**2 Let r(k) = 256*k**2. Let x(n) = 2*n. Give x(r(u)). 512*u**2 Let r(a) = -2*a**2. Let x(v) = 4*v**2 - 19*v**2 + 0*v**2 - 10*v**2. Determine x(r(w)). -100*w**4 Suppose 4*j + 2 = 2*u, -2*u = -0*j + 3*j - 16. Suppose -5*n = -5*p - 40, -4*n - p +
{ "pile_set_name": "DM Mathematics" }
and 14153351? 2137 What is the highest common divisor of 218 and 597728314? 218 What is the greatest common factor of 2295870 and 15? 15 Calculate the highest common divisor of 1574188 and 7084. 308 What is the greatest common divisor of 406 and 5330026? 58 What is the greatest common divisor of 7797569 and 13481? 793 What is the greatest common factor of 52566 and 882? 6 Calculate the greatest common divisor of 107340552 and 111. 111 Calculate the highest common factor of 469 and 72831479. 469 What is the greatest common factor of 101146 and 156766? 206 Calculate the highest common divisor of 632 and 49535096. 8 Calculate the greatest common factor of 22000 and 2838. 22 Calculate the greatest common divisor of 1551 and 49597680. 33 Calculate the highest common factor of 1457 and 23923. 47 Calculate the highest common factor of 116299 and 6099. 19 What is the greatest common factor of 117406 and 367634? 94 Calculate the greatest common divisor of 150 and 16850950. 50 Calculate the highest common factor of 4771788 and 228. 12 What is the highest common factor of 69021409 and 82? 41 Calculate the greatest common divisor of 880892 and 9359. 191 What is the highest common divisor of 16368 and 21092214? 2046 What is the highest common factor of 745136 and 2528? 16 Calculate the highest common divisor of 347104 and 7392. 32 What is the greatest common divisor of 49064734 and 194? 194 Calculate the highest common divisor of 4559 and 1131117. 97 What is the highest common factor of 1360 and 32880040? 680 Calculate the highest common divisor of 241475945 and 4215. 1405 What is the greatest common factor of 1664755875 and 3915? 3915 Calculate the greatest common factor of 10927 and 79478. 49 What is the highest common divisor of 959 and 16877945? 7 Calculate the greatest common factor of 2327045 and 35615. 85 What is the highest common divisor of 26435 and 31960? 85 What is the highest common factor of 4738 and 61111? 23 Calculate the greatest common factor of 84311304 and 40936. 2408 What is the greatest common divisor of 104649904 and 224? 16 Calculate the highest common factor of 217702752 and 80. 16 What is the highest common divisor of 57 and 3288881? 19 Calculate the greatest common divisor of 2948 and 38307049. 737 Calculate the greatest common factor of 44 and 62513. 11 Calculate the highest common divisor of 38673480 and 47. 47 Calculate the highest common factor of 21985407 and 318. 159 Calculate the highest common factor of 337605 and 2581965. 4755 What is the greatest common divisor of 884728 and 36049? 611 Calculate the greatest common divisor of 4886 and 5768. 14 Calculate the highest common divisor of 482147 and 830. 83 Calculate the greatest common factor of 1857849 and 42. 21 Calculate the highest common divisor of 12012 and 42262. 22 What is the greatest common divisor of 97127488 and 2680? 536 What is the greatest common divisor of 1490391551 and 1177? 1177 What is the greatest common factor of 2080 and 788120? 40 Calculate the highest common divisor of 7270279 and 3073. 439 What is the greatest common factor of 465 and 634415? 155 What is the greatest common divisor of 20 and 99024260? 20 What is the highest common factor of 227379 and 5439? 3 Calculate the greatest common divisor of 10668 and 500267859. 2667 Calculate the greatest common divisor of 1996 and 1689614. 998 What is the highest common factor of 139026126 and 12? 6 What is the greatest common factor of 14921214 and 15? 3 What is the greatest common factor of 14644800 and 18? 18 What is the highest common divisor of 28171 and 2241663? 197 Calculate the greatest common factor of 51 and 297187557. 51 What is the highest common divisor of 13209 and 480879? 357 What is the greatest common divisor of 36630 and 85655? 185 Calculate the highest common factor of 18909 and 86332. 191 What is the greatest common divisor of 188966753 and 2677? 2677 Calculate the greatest common factor of 16 and 1877604224. 16 Calculate the greatest common factor of 141356721 and 33. 33 Calculate the greatest common factor of 102144 and 895888. 2128 Calculate the greatest common divisor of 1019484908 and 6032. 1508 What is the greatest common divisor of 8401 and 750128? 271 What is the greatest common divisor of 846 and 680351790? 282 Calculate the greatest common factor of 119724 and 2684. 44 What is the greatest common factor of 32 and 1875789952? 32 What is the greatest common divisor of 373382 and 90344? 46 Calculate the greatest common divisor of 18357 and 8781609. 633 What is the highest common divisor of 1953 and 205510718? 217 What is the highest common factor of 23976 and 20977002? 1998 Calculate the highest common factor of 6979 and 2401773. 997 Calculate the highest common divisor of 60 and 6758805. 15 Calculate the greatest common factor of 116 and 1954455. 29 What is the highest common factor of 330 and 7914786? 66 Calculate the greatest common divisor of 526682 and 717314. 1222 What is the greatest common factor of 8967 and 4087139? 49 What is the highest common divisor of 21205520 and 112? 112 What is the greatest common factor of 492912 and 75852? 252 Calculate the greatest common factor of 2592 and 12198528. 288 What is the highest common divisor of 19426315 and 335? 335 Calculate the greatest common factor of 3131004 and 324. 12 What is the greatest common divisor of 29 and 13474? 1 What is the highest common divisor of 7186265 and 3905? 355 Calculate the greatest common factor of 17424824 and 51389. 3953 What is the greatest common divisor of 1449210 and 44220? 2010 What is the highest common factor of 315 and 24813855? 45 What is the greatest common divisor of 1743058 and 132? 2 Calculate the highest common factor of 3047960 and 52. 4 What is the greatest common factor of 56 and 9935555? 7 Calculate the greatest common divisor of 28053755 and 17105. 1555 Calculate the greatest common factor of 17334 and 6218733. 321 What is the greatest common factor of 20529597 and 11? 11 Calculate the highest common factor of 78705081 and 7371. 2457 What is the highest common factor of 1978 and 601226? 86 Calculate the highest common divisor of 105196 and 7124. 52 Calculate the highest common divisor of 2717407539 and 8547. 8547 What is the highest common divisor of 1976718 and 3888777? 9237 What is the greatest common divisor of 61 and 5219831? 61 What is the greatest common factor of 54300410 and 10? 10 What is the highest common divisor of 246212 and 30656? 4 Calculate the highest common factor of 205270 and 114010. 130 What is the greatest common divisor of 1317 and 267? 3 Calculate the greatest common divisor of 53265 and 1082385. 1005 Calculate the highest common divisor of 114 and 6167438. 38 Calculate the highest common divisor of 47723596 and 14624. 1828 What is the highest common divisor of 6 and 133589010? 6 Calculate the highest common divisor of 279585 and 44355. 15 Calculate the greatest common factor of 1981634 and 416323. 529 What is the greatest common divisor of 119727 and 243? 9 Calculate the greatest common factor of 66365340 and 845466. 7482 What is the highest common divisor of 962732 and 107235? 2383 What is the greatest common factor of 3600 and 17081100? 900 Calculate the greatest common divisor of 23836 and 381578. 202 What is the highest common divisor of 119447 and 11? 1 What is the highest common factor of 82522 and 227722? 242 What is the highest common factor of 791379 and 3312? 9 What is the greatest common factor of 477990 and 598404? 282 Calculate the greatest common divisor of 360400 and 13336496. 848 Calculate the highest common divisor of 17292715 and 1415. 1415 Calculate the greatest common factor of 63874 and 4142. 218 Calculate the highest common divisor of 78144483 and 41. 41 What is the greatest common factor of 268397961 and 39? 39 Calculate the greatest common factor of 66308 and 165044. 484 Calculate the greatest common divisor of 7629495 and 1337. 191 What is the greatest common factor of 10578 and 377278474? 3526 What is the greatest common factor of 702073 and 9164? 79 Calculate the greatest common divisor of 581386 and 98176. 1534 Calculate the highest common divisor of 4644 and 292608. 36 What is the highest common factor of 215232 and 34869?
{ "pile_set_name": "DM Mathematics" }
x + 10 Collect the terms in 6*s**2 - 45 + 105 - 60. 6*s**2 Collect the terms in 8*p + 6*p - 16*p + 0*p + 10*p. 8*p Collect the terms in 11*y**2 - 5*y**2 - 5*y**2 + 8*y**2. 9*y**2 Collect the terms in -5 - 15 - 3*f + 14. -3*f - 6 Collect the terms in 26*g**3 + g**3 + g**3. 28*g**3 Collect the terms in 13 - 5*i**2 - 29 + 7*i**2 + 16. 2*i**2 Collect the terms in 22*g**2 - 2*g**2 - 3*g**2 - 21*g**2. -4*g**2 Collect the terms in 192*r - 274*r - 247*r. -329*r Collect the terms in -6*p - 69*p**3 + 6*p. -69*p**3 Collect the terms in t**3 + 0*t**3 - 4*t**3 + 0*t**3. -3*t**3 Collect the terms in 4*r**2 - r**2 - 147 + 2*r**2 + 147. 5*r**2 Collect the terms in -8*j + 21*j - 13*j - 2*j**2. -2*j**2 Collect the terms in 40 + 7*o - 86 + 46. 7*o Collect the terms in 5 - 2*v**3 + 4 - 9. -2*v**3 Collect the terms in -25*x**3 + 24*x**3 - 4*x**3. -5*x**3 Collect the terms in -24*d - 71*d + 58*d. -37*d Collect the terms in 2 + 5 - 7 + 15*m**2. 15*m**2 Collect the terms in 4*r + r**2 - 58*r**3 - 3*r - r. -58*r**3 + r**2 Collect the terms in 2 + 15*m**2 - 1 - 1. 15*m**2 Collect the terms in -416*m - 255*m + 249*m - 664*m. -1086*m Collect the terms in 3*z + 0*z + 42 + 39 + 14. 3*z + 95 Collect the terms in o**3 + o**3 + 2*o + 31*o + 50*o. 2*o**3 + 83*o Collect the terms in -558*g**3 - g + g. -558*g**3 Collect the terms in 2*m - 5*m + 6*m**2 - 3*m**2 - m. 3*m**2 - 4*m Collect the terms in 5 + 29344*t**2 - 5 + t**3 - 29344*t**2. t**3 Collect the terms in -7*b**2 + 2*b - 5*b**2 - 2*b. -12*b**2 Collect the terms in -5 - 5 + 4 + 6 + 3*n. 3*n Collect the terms in 14*p**2 - 4*p**2 + 6*p**2. 16*p**2 Collect the terms in -179*p**3 + 86*p**3 + 85*p**3. -8*p**3 Collect the terms in -2295*n**3 + 1 + 2331*n**3 - 1. 36*n**3 Collect the terms in 35*k**3 - 67*k**3 + 45*k**3. 13*k**3 Collect the terms in c**3 - 14*c**3 + 0*c**3 + 14*c**3. c**3 Collect the terms in -2*s**3 - 10409 + 10409 - 6*s. -2*s**3 - 6*s Collect the terms in 176*t + 185*t + 185*t - 548*t. -2*t Collect the terms in -2*p**2 + 4708 - 4708. -2*p**2 Collect the terms in -51 + k + 37 + 14. k Collect the terms in 8*u**3 - 10*u**3 - 3*u**3. -5*u**3 Collect the terms in 2*b**2 + 17*b**3 - b**2 - b**2. 17*b**3 Collect the terms in 109*t**3 - 50*t**3 - 57*t**3. 2*t**3 Collect the terms in -6 - 4 + 8 - 50*t**2. -50*t**2 - 2 Collect the terms in -4*n + 6*n - 6*n + 3*n. -n Collect the terms in -3 - 49*d**2 + 3 + 23*d**2. -26*d**2 Collect the terms in -113*q + 237*q - 118*q. 6*q Collect the terms in -7*r**3 + r**3 - 8*r**3. -14*r**3 Collect the terms in 12*v**2 + 1 - 6*v**2 - 1. 6*v**2 Collect the terms in 6*i**3 - 51506*i**2 + 51506*i**2 - 4*i**3 - 3*i**3. -i**3 Collect the terms in 387 + 390 + 383 - 1160 - 3*v. -3*v Collect the terms in 4*r**2 - r**2 + r**2 + 610*r - 5*r**2. -r**2 + 610*r Collect the terms in 13*z**3 - 3*z**3 - 2*z**3. 8*z**3 Collect the terms in -7984*h**3 - 1229*h**3 + 771*h**3. -8442*h**3 Collect the terms in -o**3 + 5*o**3 - 5*o**3 - 30 - 23. -o**3 - 53 Collect the terms in -65*j**2 + 5*j**3 + 2*j**3 - 3*j**3 - j**3. 3*j**3 - 65*j**2 Collect the terms in 128*a**2 + 110*a**2 + 102*a**2 + 123*a**2. 463*a**2 Collect the terms in 104*f - 3 - 102*f + 3. 2*f Collect the terms in -20*d**2 + 8*d**2 + 15*d**2. 3*d**2 Collect the terms in 19*t**2 - 19*t**2 + t**3. t**3 Collect the terms in 4*y - 10*y - 28*y**2 + 6*y. -28*y**2 Collect the terms in v + 0*v + 4 + 5*v. 6*v + 4 Collect the terms in -15*w**3 + 35*w**3 - 18*w**3. 2*w**3 Collect the terms in -b + 5*b - 4*b + 6*b. 6*b Collect the terms in 10*n**2 - 3*n**2 + 2*n**2 + 7*n**2. 16*n**2 Collect the terms in -146*k**2 + 147*k**2 - 7*k + 7*k. k**2 Collect the terms in 295*k - 150*k - 19*k**2 - 145*k. -19*k**2 Collect the terms in 2*x + 268 + 270 - 801 + 263. 2*x Collect the terms in -2*u**2 + 53*u**2 + 17*u**2. 68*u**2 Collect the terms in -1186*q + 3388*q + 2312*q. 4514*q Collect the terms in 115*u**3 - 232*u**3 + 114*u**3. -3*u**3 Collect the terms in 0 + 2 - 2 - 27*l**2. -27*l**2 Collect the terms in -151*j + j**2 + 150*j - 2*j**2 + 9*j**2. 8*j**2 - j Collect the terms in -2*z + 4*z + 28 - 5*z. -3*z + 28 Collect the terms in 73*q**3 - 72*q**3 + 2*q**2 - 2*q**2. q**3 Collect the terms in -1 - 9*o + 0 + 2. -9*o + 1 Collect the terms in 75 - 2*b**3 - 219 + 74 + 73. -2*b**3 + 3 Collect the terms in 381 - 185 - 69*s**3 - 196. -69*s**3 Collect the terms in -5*p**3 - 141*p**2 + 6*p**3 + p**3. 2*p**3 - 141*p**2 Collect the terms in -n**3 - 18262*n**2 + 18262*n**2. -n**3 Collect the terms in 3*l - 2*l - 9 - 2*l + 5*l. 4*l - 9 Collect the terms in 83*a + 102*a - 187*a. -2*a Collect the terms in -8*h + 4*h + 2*h. -2*h Collect the terms in -2*x**2 - 13*x**2 - 4*x**2. -19*x**2 Collect the terms in 1053*b + 2*b**3 - 1053*b - 5*b**3. -3*b**3 Collect the terms in n**3 + 46 + 49 - 95. n**3 Collect the terms in 2 - 2 - 62*m**3 + 6*m**3. -56*m**3 Collect the terms in 20*c**2 + 11*c**2 - 2*c**2 - 2 + 2. 29*c**2 Collect the terms in 5*l - 3*l - 22*l - 9*l. -29*l Collect the terms in -2425*p**2 + 1215*p**2 + 1216*p**2. 6*p**2 Collect the terms in -7 - 2 + 1 + 5*x**3 + 0*x**3. 5*x**3 - 8 Collect the terms in 2*g**2 + 9*g**2 + 4*g**2. 15*g**2 Collect the terms in -7*l + 105*l + 129*l - 9*l. 218*l Collect the terms in 6*y**3 + 1 - 267*y + 267*y. 6*y**3 + 1 Collect the terms in -14*t + 51*t**3 + 2*t + 12*t. 51*t**3 Collect the terms in -3974 + 3974 - 3*p**3. -3*p**3 Collect the terms in 190*i**2 + 191*i**2 - 380*i**2. i**2 Collect the terms in -354*l + 89*l - 501*l. -766*l Collect the terms in -6*v**3 + 6*v**3 + 8*v**3. 8*v**3 Collect the terms in -7 - 6 - 140*k + 142*k. 2*k - 13 Collect the terms in -32*n**2 + 2*n - 2*n. -32*n**2 Collect the terms in -1261 - 19*x**2 + 1261. -19*x**2 Collect the terms in 2 - 16*j**2 - 3 + 13*j**2. -3*j**2 - 1 Collect the terms in -133 + 133 - l + 0*l - 2*l. -3*l Collect the terms in 22 - 32090*q + 32090*q + q**2. q**2 + 22 Collect the terms in 9*z + 12*z + 14*z - 42*z + 9*z. 2*z Collect the terms in -11*x**2 + 16*x**2 - 3*x**2. 2*x**2 Collect the terms in -415*l**3 + 155*l**3 - 144*l**3. -404*l**3 Collect the terms in -24*d**3 + 51*d**3 - 26*d**3. d**3 Collect the terms in -87*b**3 - 80*b**3 + 170*b**3. 3*b**3 Collect the terms in 16*r**2 + 7*r**2 - 6*r**2. 17*r**2 Collect the terms in -9130*k - 9130*k + 18265*k. 5*k Collect the terms in -2034*f**3 + 1008*f**3 + 1024*f**3. -2*f**3 Collect the terms in -2 + 5 - t + 7. -t + 10 Collect the terms in 2*l**2 + 23 - 12 + 14. 2*l**2 + 25 Collect the terms in 5*b**2 + 5285 - 5285. 5*b**2 Collect the terms in -3 + 5 - 21*q + 0 + 0. -21*q + 2 Collect the terms in -3 + 2*x**2 - 7*x + 7*x + 3. 2*x**2 Collect the terms in -d**2 + 5*d**2 - 3 + 3 - 11. 4*d**2 - 11 Collect the terms in -f**3 - 11*f**2 + 4*f**2 + 7*f**2. -f**3 Collect the terms in -45 - 46 + 91 - 2*i**2. -2*i**2 Collect the terms in 55539 - 2*s - 55539. -2*s Collect the terms in 5*w**2 - 9*w**2 + 6*w**2 + 17*w**2. 19*w**2 Collect the terms in 9*a**3 - 99*a**3 + 5*a**3 - 77*a**3. -162*a**3 Collect the terms in -2*f**2 + f**2 - 2*f**2 + f**2. -2*f**2 Collect the terms in -11*q**3 - q**3 + 15*q**3. 3*q**3 Collect the terms in -2*o - 2*o - 2 + 5*o. o - 2 Collect the terms in -39848*i + 0*i**3 + 39848*i - 2*i**3. -2*i**3 Collect the terms in -24 - 4*a + a - a. -4*a - 24 Collect the terms in -38*l - 4 + 4 - 36*l. -74*l Collect the terms in -53*l + 53*l + 10*l**3. 10*l**3 Collect the terms in -2*h**2 + 1 - 3*h + 3*h. -2*h**2 + 1 Collect the terms in 20 - 10*y - 233 + 7*y. -3*y - 213 Collect the terms in -18*d**3 + 34*d**3 - 8*d**3 - 13*d**3. -5*d**3 Collect the terms in -2*n**3 + 8*n**2 - 8*n**2. -2*n**3 Collect the terms in 254*t**3 - 558*t**3 + 306*t**3. 2*t**3 Collect the terms in -n + 6900 - 6900. -n Collect the terms in 213*f**2 - f + f - 107*f**2 - 107*f**2. -f**2 Collect the terms in -10*d**2 - 11*d**2 - 3*d**2. -24*d**2 Collect the terms in 13*w**3 + 16*w**3 - 9*w**3. 20*w**3 Collect the terms in -74 + 2*r + 74. 2*r Collect the terms in 4*n - 6*n + 2*n - 2*n. -2*n Collect the terms in -91*o - 21*o**3 + 43*o + 46*o. -21*o**3 - 2*o Collect the terms in -2*t - 11*t**3 + 2*t - t**3 + 5*t**3. -7*t**3 Collect the terms in 14*m + 0*m - 4*m. 10*m Collect the terms in -17*g**2 + 13*g**2 + 5*g - 6*g. -4*g**2 - g Collect the terms in -26*s**3 - 13*s**3 + s**3
{ "pile_set_name": "DM Mathematics" }
Which is the third biggest value? (a) -4 (b) -0.2 (c) 1/21 (d) -93/2 a Which is the smallest value? (a) 0.2 (b) 12 (c) -1/3 (d) 1/9 c What is the second biggest value in 1/3, -2, 142, 0.2? 1/3 What is the second smallest value in -1/2, -0.23, 0.2, 2/7, -3/2? -1/2 What is the biggest value in 0.1, -0.012, -1? 0.1 What is the fifth smallest value in 5, 1.4, -2/9, 0.041, 1/6? 5 Which is the second smallest value? (a) 0.2 (b) -3 (c) 12 (d) -67 (e) -0.2 b What is the third biggest value in -4, 2, 0.07, 11? 0.07 What is the smallest value in -0.3, 0.3, -284? -284 What is the third smallest value in 0.16, 0.3, 12? 12 Which is the second smallest value? (a) 0.2 (b) 3 (c) 54 b What is the third smallest value in 11, 1/6, -4.7, -2? 1/6 What is the biggest value in 0.24, 5, -3/5, 2? 5 What is the second smallest value in -2/11, 3/7, -1/4? -2/11 Which is the second smallest value? (a) -658 (b) -4 (c) -2/17 b What is the second biggest value in 69, 11, -1/2, 1? 11 What is the third biggest value in 1/3, -2.5, 4? -2.5 Which is the second biggest value? (a) 2/19 (b) 5 (c) -5 (d) -0.5 a What is the third smallest value in 127, -1, -4/19? 127 What is the third smallest value in -3, 4, -1984.9, 1? 1 What is the second biggest value in -4, 2.06, -1/2, -0.1, 0.3? 0.3 What is the fourth biggest value in -5, -1/3, 4, -3/4, 0.3? -3/4 Which is the biggest value? (a) -2/13 (b) -0.2 (c) 4 c Which is the second biggest value? (a) -3 (b) 0 (c) -0.5 (d) -1/3 d What is the third biggest value in 0.2, 5, 0.9? 0.2 Which is the smallest value? (a) -4 (b) 0.02 (c) -1 (d) 3/5 a What is the second smallest value in -25, -1/4, -43? -25 What is the second smallest value in 3, -49, -3/8? -3/8 Which is the second biggest value? (a) 0.5 (b) 15 (c) 4 (d) 0.3 (e) -6 c Which is the fourth smallest value? (a) -0.3 (b) -1/4 (c) -0.4 (d) 9/5 d Which is the fourth smallest value? (a) 3 (b) -5 (c) -0.3 (d) -24 (e) 12 a Which is the biggest value? (a) -0.2 (b) 2947 (c) 1 b Which is the third biggest value? (a) -2/23 (b) -19 (c) -3 b Which is the fourth biggest value? (a) 1/9 (b) -4 (c) 0.2 (d) -0.394 b What is the fourth smallest value in -2, 12, 1, 5? 12 What is the second smallest value in 4, 1210, 1/3? 4 What is the second smallest value in -1, -0.008, -5? -1 What is the third smallest value in 1.2, 3/8, 1, -8, 1/5? 3/8 Which is the third smallest value? (a) -7 (b) 10 (c) 8 b Which is the smallest value? (a) 32 (b) 4/9 (c) -7 (d) 5/2 c What is the smallest value in 1, -2, 3, 0.5, -46? -46 Which is the second smallest value? (a) 5 (b) 4 (c) -1/3 (d) -1487 c Which is the second smallest value? (a) -5 (b) -4 (c) 0.1 (d) -3 b Which is the fourth smallest value? (a) 5 (b) -25 (c) 1 (d) 5/4 a What is the biggest value in -3, 1.6, -5, 0.2? 1.6 Which is the biggest value? (a) 4 (b) -23 (c) -232 a What is the second smallest value in 1/2, 35, 2? 2 What is the third smallest value in -2/7, 1/4, 2/3, 70/3? 2/3 What is the third smallest value in 0.02, 0.4, 0.1, 141/4? 0.4 Which is the third biggest value? (a) 28.2 (b) 0 (c) -8 c Which is the second biggest value? (a) 118 (b) 5 (c) 0.2 b What is the third biggest value in 2, -2/3, -3/4, 0.7? -2/3 What is the second smallest value in 1/2, 4, -14? 1/2 Which is the third biggest value? (a) -5 (b) 24/7 (c) 3 (d) 2/17 d What is the smallest value in 2/17, 0.2, -19? -19 What is the third smallest value in -0.4, 3/4, -0.03, 1/21, -0.3? -0.03 Which is the third smallest value? (a) -0.02 (b) 5 (c) -0.3 (d) -3/4 a Which is the fourth biggest value? (a) -16.8 (b) -1 (c) -2 (d) 1/3 (e) 2 c What is the second biggest value in 32, 4, -2/3, 2/7? 4 Which is the third biggest value? (a) 1/4 (b) -2/5 (c) 3 (d) -3 b Which is the second biggest value? (a) -102 (b) -3 (c) 1/4 b What is the second biggest value in 0.3, -15, 27/4? 0.3 Which is the second smallest value? (a) -3 (b) 23/4 (c) 2 c What is the biggest value in 0, 4, -17/6? 4 What is the second biggest value in 10, 26, 0.4, 0.1? 10 What is the second smallest value in -26, 2/9, 1/4? 2/9 Which is the smallest value? (a) -8 (b) 0.1 (c) 4 (d) -5 a What is the fifth biggest value in -0.4, 2, 2/9, -1, 2/3? -1 Which is the second biggest value? (a) 34 (b) 2/7 (c) 0.5 (d) 3 d Which is the third smallest value? (a) 3/8 (b) -9 (c) 1 c Which is the fourth smallest value? (a) 4/7 (b) -1 (c) -5 (d) 2/13 (e) 0.38 e Which is the biggest value? (a) -0.183 (b) 3/5 (c) 0.3 b What is the biggest value in -0.08, -0.7, 3/7, -3/2? 3/7 Which is the second biggest value? (a) -0.05 (b) -3 (c) 3 (d) -2/7 a Which is the second smallest value? (a) -1009 (b) 1 (c) 0 (d) -1/3 (e) -2/11 d Which is the fourth biggest value? (a) 0.072 (b) 0 (c) 0.5 (d) -2/7 d What is the third smallest value in 0.4, -78, -1/5? 0.4 Which is the biggest value? (a) 1/6 (b) 0.5 (c) 0.3 (d) -2 (e) -5/39 b What is the biggest value in 2, -871, -1? 2 What is the biggest value in -8, -0.1, -3/5? -0.1 What is the second smallest value in -0.216, -0.5, 2? -0.216 What is the third smallest value in 2/7, 0.7, -2/3, 0.3? 0.3 Which is the biggest value? (a) 0.3 (b) 0.5 (c) -22 (d) 2/9 b Which is the fifth smallest value? (a) 0.5 (b) 0.9 (c) 0 (d) -2/7 (e) 3 e What is the second smallest value in -3/7, 22, -4? -3/7 What is the second smallest value in -0.1, 4, 8? 4 What is the third smallest value in 42, 0, -2? 42 Which is the smallest value? (a) 5 (b) 0.36 (c) -0.5 c Which is the third smallest value? (a) -0.2 (b) 112 (c) -3 b What is the smallest value in -2/3, 20, -3? -3 Which is the second biggest value? (a) -2/7 (b) 0.4 (c) 2 (d) -1 b What is the second biggest value in -2/7, -1/9, 4, -1/7? -1/9 Which is the second biggest value? (a) 0.03 (b) -3/7 (c) 2.4 (d) 4 c Which is the second biggest value? (a) 0.01 (b) -2 (c) 0.2 a Which is the smallest value? (a) 1239 (b) -0.4 (c) -2/9 b Which is the fourth biggest value? (a) 0.2 (b) -98 (c) -0.5 (d) -1/12 (e) 2/21 c Which is the second smallest value? (a) -3 (b) 2/15 (c) 1 (d) -5.4 a What is the fourth smallest value in -2, 7, 0.04, 0.05? 7 Which is the third smallest value? (a) -0.045 (b) 0.3 (c) -7 b Which is the second smallest value? (a) -1/7 (b) -6 (c) -8/3 c What is the third smallest value in -2/3, -1.9, 0, 0.3? 0 Which is the third smallest value? (a) 1 (b) 3/260 (c) 1/11 a Which is the biggest value? (a) -3 (b) 1/15 (c) -2/11 (d) -1/3 b Which is the fourth smallest value? (a) -2 (b) -53 (c) -4/3 (d) 5 d Which is the second smallest value? (a) 0 (b) 1/3 (c) 2 (d) -1/150 a What is the smallest value in -312, 0.3, 0.1? -312 What is the fourth smallest value in 2/7, 0.5, -0.24, -0.3? 0.5 Which is the smallest value? (a) 3 (b) 4 (c) -166 c What is the second smallest value in 4007, 0, 4? 4 Which is the second biggest value? (a) 0 (b) -2/27 (c) -4 b What is the smallest value in 2, 0.1, -1.05, -2/5? -1.05 What is the third biggest value in -4/3, 11, -1? -4/3 Which is the third smallest value? (a) 1640 (b) -4/7 (c) 1 a What is the second smallest value in 0.03, 0.5, -0.02, 0.2? 0.03 Which is the second smallest value? (a) -8 (b) 818 (c) -2 c Which is the second biggest value? (a) 0.5 (b) -2 (c) -5 (d) -0.01 d Which is the third biggest value? (a) 0.123 (b) -9 (c) 2 b Which is the third smallest value? (a) -25/7 (b) -1 (c) 3 (d) 2/7 d Which is the smallest value? (a) -6 (b) -2/11 (c) -4/7 a Which is the second smallest value? (a) -3 (b) -2/9 (c) -0.3 (d) -0.59 d Which is the third smallest value? (a) 2/21 (b) 5.3 (c) 0.1 (d) 4 d What is the biggest value in 0, 1, -0.2, -1/3? 1 Which is the second biggest value? (a) 3/10 (b) 1 (c) -4/5 (d) -1 a Which is the biggest value? (a) -3 (b) 20.3 (c) 0.14 b Which is the second smallest value? (a) 2 (b) 0.08 (c) 21 (d) -1/2 b Which is the smallest value? (a) -4 (b) -11 (c) -2/11 b What is the smallest value in 2/11, -0.7, -14/3? -14/3 What is the second biggest value in -0.08, -1/2, -2/5? -2/5 Which is the fourth smallest value? (a) -5 (b) -109 (c) -4 (d) 4 d What is the second smallest value in 2/7, -5, -9/71? -9/71 What is the b
{ "pile_set_name": "DM Mathematics" }
Which is the closest to -2? (a) j (b) g (c) 1/3 a Let g = -116 - -117.5. Let z = 10 + -5.1. Let s = -3.9 + z. What is the closest to -1 in 4, s, g? s Let q = 2002 + -2002. Let d = -9 - -6. Which is the closest to q? (a) d (b) -0.04 (c) 0 c Let s(i) = i - 1. Suppose -b = -3*u + u + 10, -2*u = 5*b + 14. Let p be (-8)/6*((-18)/4)/u. Let n be s(p). What is the closest to -1 in -0.5, 2, n? -0.5 Let j = -8113.4 + 8113. Which is the nearest to -1? (a) j (b) -5 (c) -0.1 a Let a = -3.9 + -0.1. Suppose 5*c = -3*s + 40, -8*s = -7*s + 5. Suppose 11*u = -c - 22. What is the closest to -2/7 in a, 3, u? u Let i = -45692 - -45695. Suppose -2*z = -4*z - 10. What is the closest to i in 3, z, -0.5? 3 Suppose 4*m + 37 = -5*l, -14 = -53*l + 51*l + 2*m. What is the nearest to -2 in l, -0.1, 4, -10? l Let p = -8658 + 8660. Which is the closest to -1/4? (a) p (b) -2/5 (c) -5/4 (d) -0.5 b Let x = 842 + -24. Let j = -818 + x. What is the closest to -1 in 4, -1.1, j? -1.1 Let j be ((-1)/8 + 18/(-112))/((-27)/(-21)). Which is the closest to j? (a) -0.055 (b) 0.4 (c) -2/7 c Let k = -2 + 2.071. Let z = 0.271 - k. Let x = 3.046 + -0.046. What is the nearest to 0 in z, 0, x? 0 Let w = 1859277/2875 + -5974/125. Suppose 3*u + 29*q - 26*q = -1782, 0 = u + 2*q + 589. Let j = w + u. Which is the nearest to -1? (a) 2/19 (b) -2/11 (c) j b Let r be -3*(520/260 - (38/(-9))/(-2)). Let n be (-15)/(-30) - 26/36. What is the nearest to -2/5 in r, 3, -1/4, n? -1/4 Let q(u) = 6*u**2 + 60*u - 454. Let b be q(5). What is the nearest to -6 in -2/7, 7, b, 1? b Let m = -3639 - -3636. Which is the closest to 0.19? (a) -4 (b) -48 (c) m c Let d = -11491/2 - -5620. Let f(k) = -32*k + 3. Let q be f(4). Let j = d - q. Which is the nearest to -1/6? (a) 0.3 (b) j (c) 1/2 b Let s = -4.2 + 2.2. Let l be (-52)/182 - (-9)/(-42). Which is the nearest to l? (a) -3 (b) s (c) 1.4 b Let f = -162.036 - -6.036. Which is the nearest to 0.1? (a) f (b) 4 (c) 0.3 c Let n be -9 - (-14 - 10/(-4)). What is the closest to n in 3/2, 0.2, 2/7, 2? 2 Let o be 381/63 + -6 + (-4)/(-14). Let f = 28.4 + -45.4. Which is the closest to -2/5? (a) f (b) 0.2 (c) o b Let u = -10.3934 - -0.5934. What is the nearest to u in -0.5, -2/11, -5? -5 Let g = -174.5 + 174.3. Which is the closest to 0? (a) 16 (b) 3 (c) g (d) 5 c Let n = 0.04 + 8.96. Let p = -644.062 + 0.062. Let o = p + 644. What is the nearest to n in o, -3/5, 1/9? 1/9 Let x be (1 - (-39)/(-24)) + (-391)/(-1564). What is the nearest to 1/2 in 1, x, -2/3? 1 Let p = 2.1 + -2. Let z be 7 - ((-1920)/32)/(-30). Which is the nearest to 0? (a) -2/17 (b) z (c) p c Let w be (-8)/(-6)*(-9 - -3). Suppose -3*s = -73 + 49. Let p = s + w. What is the closest to -0.2 in -2, -3/5, p? p Let w = 17/67 + -253/469. What is the nearest to 0 in -1/18, -5, w, 3? -1/18 Let n = -6981.9 - -6982. Which is the closest to n? (a) 2 (b) -5 (c) -2/5 c Suppose 652*i + 973 = 653*i. Let t = i + -973. Let m = 4 + -1. Which is the closest to t? (a) -0.2 (b) m (c) -0.5 a Let d = 0.05736 - 0.03736. What is the nearest to 1 in d, -0.6, -3, 0? d Let t = -3016 + 2893.9. Let x = -196 - -318. Let k = t + x. Which is the nearest to k? (a) 5 (b) -2 (c) 4 b Let m = 22.966 - -0.034. Let w = -21 + m. Let n be ((-2)/(-68))/((-4)/(-16)). Which is the closest to w? (a) n (b) -1 (c) 1 c Let r be (-1 - 1) + (-12)/(-10). Suppose -20 = -5*z - 5*s, 134*z - 135*z - 14 = -5*s. What is the closest to z in -17, r, -0.5? -0.5 Suppose -46*n - 60 = -34*n. Let h = -0.103 + -0.897. Which is the closest to h? (a) n (b) 4/5 (c) 1/10 (d) 1 c Let y be ((-77)/(-44))/((-2)/(-8)). Suppose -y*v = -5*v. Let l = 172/3 + -58. Which is the nearest to 2? (a) -3 (b) l (c) v c Let n = -39.82 + 87.817. Let y = n + 0.003. Let i = -43 + y. What is the nearest to -1/15 in -1, -1/4, i? -1/4 Let p = -925 + 871. Let w be 6/15 - 247/5. Let y = w - p. Which is the nearest to 0? (a) y (b) -2/5 (c) 4 b Let i be (-10)/9*(-134)/670. Let l = -0.14 + 0.24. Which is the closest to -0.26? (a) i (b) l (c) -0.5 c Let x = -4048 + 4047.6. What is the closest to x in 1, 4, -3, -0.4? -0.4 Let d = -4.9 - -4.9. Let w be 2 + ((-1)/4)/((-70)/(-448)). What is the closest to 10 in w, d, 1? 1 Let z = -4.5017 + -0.4983. Which is the nearest to 0? (a) 9 (b) -1 (c) z (d) 250 b Let u = -649 - -418. Let k = u + 236. What is the nearest to 2 in 0.4, 2.1, k? 2.1 Let w = -6315.2 - -6315. Let k = 2 + 0. Which is the nearest to k? (a) 0.4 (b) -0.5 (c) w a Suppose 4*s + 1277 = 1245. Let h be (-475)/(-600) - (-1)/s. Which is the nearest to h? (a) 7 (b) 1 (c) -4/3 (d) -5 b Let a = -40325.02 + 40325. Let s be 7/7 - (-4)/(-5). What is the closest to -1/2 in s, 2/17, a, 2? a Let l = -1145 + 1145. What is the closest to l in 6/7, -23, -2, -5? 6/7 Let q be 4/(-39)*(90/(-40) + 15/20). What is the nearest to 0 in -8.28, 1, q? q Let w be -1*1115/1290*6/(-20). Let t be (1/(-10))/(172/16). Let y = t + w. Which is the nearest to -12? (a) -2/11 (b) 4 (c) y a Let g = 1050 - 1047. Let y(v) = -v**3 - 10*v**2 + 2*v + 21. Let k be y(-10). Which is the closest to 1/9? (a) k (b) 0.2 (c) g b Let g = 68047/11 + -6186. Suppose 0 = -2*h - w + 11, 3*w + 0*w = -2*h + 1. Let d = -63/8 + h. Which is the nearest to 0.1? (a) g (b) d (c) -0.4 a Let w = -6.012 + 5.012. What is the closest to w in -1/8, -0.5, 2/11, -2? -0.5 Let y = -12971 + 12970.7. What is the nearest to 0 in y, -3/640, -3? -3/640 Let f(k) = -2*k**3 + 137*k**2 + 72*k - 205. Let i be f(69). What is the closest to -0.1 in -55, i, 1, -2/19? -2/19 Let r(h) = 85*h - 7407. Let m be r(87). Which is the nearest to -1? (a) -15 (b) m (c) -2/5 c Let a = -10405 + 10404.5. What is the nearest to 4/9 in 0.4, -2, -0.04, a? 0.4 Let v be 1/44*2*-2. Let i = -33.3178 + 0.0178. Let u = i + 33.2. Which is the closest to v? (a) -4 (b) 1/2 (c) u c Let i be (-1 + 1)/3 - -2. Let v = -4.122 - -1.122. Which is the closest to -0.2? (a) -6 (b) v (c) i (d) -2/13 d Let x = 2631 + -2635. What is the closest to 1 in 0.8, x, 1? 1 Let s = -46.63 - -46.9. What is the closest to 0.1 in 1, -4, 3, s? s Let c(k) = 2*k**3 - 2*k - 1. Let w be c(-1). Let o = -390 - -126. Let z = 263 + o. What is the nearest to w in -3, -2, z? z Let o = 1151/3 - 384. What is the closest to 173 in o, -0.4, 5/2? 5/2 Let m = -10989 - -65935/6. Which is the nearest to -58? (a) m (b) 0.02 (c) 1 b Let m = -0.22 - 0.08. Let p = -20.83 + 25.83. Let h = -5.4 + 0.4. Which is the nearest to m? (a) h (b) 2 (c) p b Let k(r) = 5*r - 118. Let i be k(24). Let n = 50/27 - 173/108. Let u = 0.1 - 0.1. What is the nearest to 2/7 in u, n, i? n Suppose q + 2 = 3*k, -79*q - 5*k - 25 = -75*q. Let x = 83 + -329/4. Which is the nearest to 0.1? (a) 4 (b) x (c) q b Let f = -128.6 + 129.2. Which is the nearest to 1? (a) -1 (b) 0.03 (c) f c Let x = -5 + 1. Let h = 800.35 - 802.35. What is the nearest to h in -2/3, x, -5? -2/3 Let s = 16638/17 - 978. Which is the nearest to -2? (a) 3 (b) s (c) -2/5 (d) -5 c Let j be 2/5 + ((-63520)/75)/(-16). Let n = 54 - j. What is the nearest to n in 4, -1, -1/8? -1/8 Let k = -36083 - -36080. Which is the closest to 2.51? (a) k (b) 1/5 (c) 3/4 (d) -4 c Let o = 2.8 + -0.8. Let y = 246 - 258. Let t be 26/(-39)*((-27)/y)/(-3). What is the closest to 2/9 in t, 4, o? t Let h = 17235.29 + -17236. What is the closest to 2/15 in h, -11, -4? h Let o be 2/1*(-146)/876. Which is the closest to o? (a) -1 (b) 5 (c) 49 a Let t = 217.09 - 217.49. What is the nearest to -1/4 in -45, t, -0.3? -0.3 Let o = 4.185 + -4.085. Which is the nearest to o? (a) -0.16 (b) 4 (c) -42 a Let t(y) = 23*y - 17. Let s be t(7). Suppose s - 154 = 5*p. Which is the closest to -4/3? (a) p (b) 0.4 (c) -3/5 a Suppose 0 = t + 2*q + 18, -32*t + 35*t + 47 = q. Which is the closest to 0? (a) t (b) -7 (c) 0 (d) -5 c Let x = 0.457 - 41.107. Let p = x - -40. Let o = p + 0.85. What is the nearest to o in 0.4, -2, -0.2? 0.4 Let k = 44 + -46. Let v be ((-22)/(-7))/k + 2 + -1. Let w = -277/7 - -40. Which is the nearest to 2/3? (a) -3 (b) v (c) w c Let m be (-4)/6*(5 + 49/(-7)). Let v = -1854 + 1854.4. What is the nearest to v in 0, -12, -0.5, m? 0 Let d = 2 + -2. Let u = -544 + 543.136. Let s = 4.864 + u. Which is the closest to d?
{ "pile_set_name": "DM Mathematics" }
ch is the nearest to -1.7? (a) m (b) -5/11 (c) -0.5 c Let g = 4.86 + 0.14. Let z = 347.536 + -0.536. Let p = z - 352. Which is the nearest to 5? (a) p (b) 4 (c) g c Let y = 0.07 + -0.67. Let t = 5.6 + y. Let z = 1.2089 - 1.2089. Which is the closest to 17/5? (a) -2/9 (b) z (c) t c Suppose -5*i - 2*g = -6*g - 3, -4*g = -12. Suppose i*w = -2*w + 30. Suppose 0 = 2*u - w*u - 12. Which is the nearest to 1? (a) 1/7 (b) -0.2 (c) u a Let r = -4211 + 8427/2. Which is the closest to -19/2? (a) 0 (b) r (c) 2 (d) 0.4 a Suppose 508*o + 41 = 485*o + 524. Which is the nearest to 0.1? (a) -4 (b) o (c) 2/3 c Let z = -292.68 - -293.08. Let v = -0.01 + 0. Which is the closest to 3? (a) -2/7 (b) z (c) v b Let u be (-1)/(-7)*2*(-23)/((-5888)/(-224)). Which is the closest to -2/7? (a) u (b) 0.5 (c) 2/635 a Suppose 39*i - 40 = 43*i. Let a be ((-3)/(-3))/(i/40). Let f = 0.1 - 0.2. What is the closest to f in -1/3, a, 4? -1/3 Let g = -4635 - -4640. Which is the nearest to 10/19? (a) g (b) 2 (c) 0.2 c Let v = -190 - -188.5. Let y = 1.4 + v. Which is the nearest to y? (a) -0.1 (b) -1/2 (c) 0.13 a Let x = -1368.8 + 1366.8. Let m = -2/35 + 43/140. Which is the closest to -3/7? (a) 5 (b) x (c) 17 (d) m d Let a = 0.01973 - -0.48027. What is the closest to -1 in 5, a, -4, -3? a Let a = 65 - 68. Let x be ((-183)/(-671))/(a/(-2)). Let q = 9 - 10. What is the nearest to 2/9 in x, -1/2, q? x Let n = 48 + -17. Let h = -27.4 + n. Let u = -3.2 + h. Which is the closest to 0.1? (a) u (b) -1 (c) 1/6 c Suppose -4 = 2*v + u, v - 4*u = 2*v - 5. Let g = 2.8 - 3. Let t be 11 - (130/12 + 124/(-248)). Which is the nearest to -2? (a) g (b) v (c) t b Suppose -5 = 18*u + 31. Let x be u/8 + 14/8. Let i be 0 - (2 + 0) - -3. What is the nearest to -0.3 in -2/11, i, x? -2/11 Let n be ((-2)/4 + 0)/((-4)/24). Let a be (-1*4 - 18/(-30)) + n. Let f = 13.2 + -13. What is the nearest to 2 in f, a, 4? f Let m = 249 - 251. Which is the nearest to -1/4? (a) -0.7 (b) m (c) 0.5 a Let f = -3113 - -3113.1. What is the closest to f in -2/17, 60, -1? -2/17 Let p = -24.671 - -153.671. Which is the closest to 0? (a) p (b) 1/26 (c) -1/4 b Suppose -y + 5 = 3*z, -5*y = 3*z + 27 - 4. Which is the closest to 0.1? (a) 39 (b) -1 (c) -1/6 (d) z c Let j = 19/6 - 14/3. Let a(k) = 2*k**3 - 54*k**2 + 177*k + 157. Let y be a(23). What is the closest to j in y, 2, 0? 0 Let l = -65488.96 + 65489. Let g be (-2)/7 + 44/(-42). Which is the nearest to g? (a) 3 (b) 0 (c) l b Let v = -67.08 + 66.68. Which is the nearest to 3? (a) 24 (b) 18/11 (c) v b Let l be (20/45)/(4/6). Let b = -292.9 - -383. Let d = b - 90. What is the closest to 5 in d, -5, l? l Let f = 132063/813680 + 2/10171. Let l = 29/80 - f. Which is the closest to 0? (a) 3 (b) l (c) 2/3 (d) 0 d Let u = 2537 + -2656.3. Let f = 106 + u. Let t = -13 - f. Which is the nearest to t? (a) -4 (b) 0.4 (c) 5 b Suppose 516 - 66 = 5*c. Suppose 3*h + c - 93 = 0. Let s = 0.205 - 3.205. What is the nearest to h in s, 4, 1/3? 1/3 Let z = 2060 - 2060.02. What is the nearest to -2/3 in -4, z, -31, -0.3? -0.3 Let y = 259 - 260. Let r be 1/((-18)/(-12)) + y. Let j = 3.9 - -1.1. Which is the nearest to r? (a) -2/23 (b) j (c) -0.2 c Let z = -1.66 + 1.76. Let u = 14/29 + 1/58. Let r = -0.24 - 0.76. Which is the closest to z? (a) 2/3 (b) u (c) r b Let j = 1575 + -1574. What is the nearest to j in 11.5, -4, 4/3, 1? 1 Let y = -286709 + 2002342/7. Let q = y + 661. What is the closest to -0.2 in q, -1, 1? -1 Let s(v) = v**2 - 22*v + 62. Let q be s(19). What is the nearest to -17 in -0.01, -3, q, -0.1? -3 Let z be (74/(-3))/(3/18*18/(-9)). What is the nearest to -0.2 in z, -3, 5? -3 Let w = 2.663 - 2.563. What is the closest to -10/11 in 2, w, -0.1, 1/5? -0.1 Suppose -164*r = 204 + 288. What is the closest to -2 in r, 3, 5/7, 0.02? r Let y = 35 + -246/7. Let f = 67.3 + -2.7. Let q = 64.7 - f. What is the nearest to -1 in q, -0.11, y? y Let h = 0.94 + -113.94. Let k = h + 116. Which is the closest to 0.1? (a) k (b) -1/4 (c) 0 c Let o = 0.233 - -0.077. Let s = 13468 - 13473. Which is the closest to -2? (a) 2 (b) s (c) o c Let v = 40.9 - 38. Suppose 3*j - 5*u = -18, 66*u - 71*u = j - 34. Let s = 203/138 + -30/23. What is the closest to -0.1 in j, s, v? s Suppose 5*b - 7*b - 5*a = 1290, -a - 1282 = 2*b. Let t be 2*((-176)/b - (-2)/(-5)). What is the closest to t in -16, 1, 3? 1 Let a = -2952.5 - -2953. What is the nearest to 6/19 in 0.1, -2, 1/3, a? 1/3 Let m = -338 + 338.094. Let t = 1.906 + m. Which is the nearest to -1? (a) 0.1 (b) t (c) 0.08 c Let y be -9 - (-266)/(-12)*116/(-290). Which is the closest to -0.12? (a) -2 (b) 0.3 (c) y (d) 2/33 c Let v be 30*4/12 + -12. Which is the nearest to 1/3? (a) v (b) -3 (c) -0.5 (d) -42 c Let v = -6.11408 - -0.11408. What is the nearest to 2 in 10/9, v, 0.5? 10/9 Let m = -80 - -79.1. Let h = -5626/7 - -804. Let z = -3 - -2.9. What is the closest to h in 2, m, z? z Let d = 51 + -49. Suppose 0 = -d*z - o + 22, -z - 4*o + 7 - 3 = 0. Let u be (z/(-16))/(14/8). Which is the closest to 0? (a) -5/4 (b) u (c) -2 b Let t = -5303/8 - -663. Let h = -9.6 + 9.3. Let r be (2/14)/(1/(-2)). What is the nearest to h in t, 4, r? r Let q = 5 - 6. Let f = 4.029 + 0.041. Let h = 4.17 - f. Which is the closest to 0.1? (a) q (b) h (c) 0.4 b Let g = 135/47 - 487/235. Which is the closest to 2/5? (a) g (b) 2/839 (c) 2 (d) -0.8 b Let p = -0.189 - 88.811. Let a = 96 + p. Let j = -6 + a. What is the closest to 1 in -0.2, -4/7, j? j Let a be (-2 - 56)/((-5)/(-15)). Let y be 0 - (a/(-54) + 1 + -4). What is the nearest to y in -2/3, -1/7, 1? -1/7 Let r = 379/245 + -23/15. Let v = r + -304/735. Let y be (-2 - (-26)/14)*-1. Which is the nearest to -2/15? (a) -3 (b) v (c) y b Let v = 817 - 590. Let y = -227 + v. Which is the nearest to y? (a) -0.1 (b) 0 (c) -28 b Let x = 2299 - 3470. Which is the nearest to -0.1? (a) x (b) -1/5 (c) -0.3 b Let i = -13865 + 13870. Which is the nearest to -1/16? (a) i (b) -0.3 (c) 0.5 (d) -4/9 b Let z be 143/154 - 2*(-21)/(-28). What is the closest to 0 in z, 14, -3? z Let x = 67 + -24. Let t = -43.5 + x. Which is the closest to 0.2? (a) -0.3 (b) t (c) 0.4 c Let f be (-2)/(-4) - 18/4. Let l = 471797/2 + -235898. What is the closest to l in -1/3, f, -1? -1/3 Let f = -1595 - -1590.988. Let b = 1829 - 1828.988. Let s = b + f. What is the nearest to 0.1 in -2, 2/3, s? 2/3 Let w = -767.9 + 765.9. What is the nearest to 1 in w, -65, 2/5? 2/5 Let d(s) = s + 1. Let k be d(4). Suppose 1216*x - 1214*x = -3*o + 44, 0 = -5*x - 4*o + 68. What is the closest to 1/3 in k, -0.4, x, 0.7? 0.7 Suppose 33*v - 57 = 14*v. Suppose -v*q + 4*b = -8, 4*b + 13 = -2*q + 3*b. What is the nearest to 1 in 0.2, q, 5/4? 5/4 Let k = 9.58 + -8.58. Which is the closest to 0.1? (a) k (b) -8 (c) 1/9 c Let v = 2 - 1.9. Let k = 652 - 1634. Let w = k - -981. Which is the closest to -1? (a) v (b) 0 (c) w c Let n = -182.55 + 177.55. What is the closest to -71/9 in -0.4, -4, n? n Let u(t) = -t**3 + 7*t**2 + 40*t - 195. Let x be u(9). What is the closest to -2/9 in x, -1/3, -5, 0.01? -1/3 Let y = 505 - 492. Let h be 144/56 - (-10 + y). Let q = -1 - 2. What is the closest to 10 in 1/3, q, h? 1/3 Let y = -25728 + 25727. What is the closest to -12 in -0.1, 3/5, 1, y? y Let b(x) = x**3 - 6*x**2 + 4*x - 5. Let y be b(6). Let w(t) = 3*t - 53. Let r be w(y). What is the nearest to 1 in 2/15, r, -0.098? 2/15 Let v = -486 - 161. Let y = v + 647.3. What is the nearest to y in 4, 7, 3, 0.5? 0.5 Let z = -2/1017 - 2000/17289. Which is the closest to 1? (a) 7 (b) z (c) -0.2 b Let m = -93 - 7. Let j = m - -399/4. Let f = -2 - -6. Which is the closest to j? (a) 3/7 (b) f (c) 3 a Let x = -1338 + 1339. Which is the closest to 8/5? (a) -0.4 (b) x (c) -1 (d) -2 b Let i = -0.74 - 1.83. Let u = 2.17 + i. What is the closest to 0.1 in u, -3, -4/7? u Let y = 1.68 + -0.68. Suppose 7*j - 7488 = -2*j. Let t be 2/(-16) + (-24)/j. What is the closest to 0.1 in y, -2/7, t? t Let k = 19941 - 19936. What is the nearest to -8 in -0.1, -1, k? -1 Let z(o) = 12*o + 41. Let m be z(-3). Suppose m*l = -12 + 12. Which is the closest to 2? (a) 5 (b) -5 (c) l c Let l = 4833 + -33829/7. What is the nearest to 0.1 in 1
{ "pile_set_name": "DM Mathematics" }
(-2) + c. Solve y*j + 2*j = -4 for j. -2 Let z be -20 - (-10578)/215 - 8/(-10). Solve 0 = -3075*n + 3080*n + z for n. -6 Let a(z) = -57*z - 741. Let b be a(-13). Let u = -16 + 31. Solve 0*r - 3*r + u = b for r. 5 Suppose -21*o - 150 = -528. Let l be (-3)/o*2*-18. Solve -2*p - l = -2 for p. -2 Let v(w) = w**3 - 5*w**2 - 4*w. Suppose 2*i = 5*c + 186, 0 = -0*c - 3*c + 2*i - 114. Let t = 42 + c. Let k be v(t). Solve 5*y = k + 13 for y. 5 Let w be (12/18)/((-3)/585). Let o = 141 + w. Suppose -5*v - 8 = -x, -o*v + 24 = 3*x - 16*v. Solve 4*b = 2*b - x for b. -4 Let n be (-18184)/(-104) - 6/(-39). Let u = 177 - n. Suppose -16*l + 17*l = 0. Solve l = -2*d + u for d. 1 Suppose -2*d + 4 = 3*o - 0, 3*d = o + 17. Let j(t) = 9*t**2 + 89*t - 8. Let s be j(-10). Let b be (d/(10/(-72)))/(s/(-1)). Solve -3*m = b - 6 for m. -4 Suppose -3*y + 13 = -35*d + 37*d, 4*y = -2*d + 22. Solve -y*o = -826 + 835 for o. -1 Let g = 770 + -766. Let a(q) = q**2 + 18*q + 7. Let u be a(-17). Let r be (-3 - -2)*u/1. Solve -2*j - r = -g*j for j. 5 Suppose -q + 143 = 62. Let v be (-30)/4*6*(-9)/q. Solve -v*s = -7*s for s. 0 Let r be 4/(-3)*63/(-14). Let l be (0 + -1)/(-3*r/54). Suppose l*c = i + 1, -16 = c - 4*c - 2*i. Solve -b = c*b for b. 0 Let g = -302 - -306. Suppose i + g = -r, i = 5*r + 8 + 12. Let z(x) = -x**2 - 6*x - 3. Let v be z(-5). Solve u = -i*u + v for u. 2 Let p = -111 + 102. Let t(x) = -3*x - 24. Let i be t(p). Solve i*c + 8 = -c for c. -2 Let a(l) = -5*l - 8. Suppose -2*d = -2*p - 0*p + 12, 4*p = -16. Let b be d/(-4)*(-4)/(-15)*-3. Let w be a(b). Solve w = -0*h - 2*h for h. -1 Let l = 8 + -4. Suppose -4*x - l*m - 7 = -7*x, 4*x + 2*m = 24. Suppose 2*v + 3*g = 8*g, -x*v + 4*g = 0. Solve v = -2*p - 3 - 5 for p. -4 Let z be (30/(-20))/((2/4)/(-1)). Suppose 2*j = 5*w - 34, -w - 4*j = -34 + 14. Suppose -5*n + w - 3 = 0, -z = v - 3*n. Solve 1 = h - v*h for h. 1 Suppose 0 = -3*n + 4*k + 20, -2*k + 0 - 24 = -5*n. Suppose -3*b + 9 = n*m - 2*m, -4*b = 2*m - 12. Suppose 7*p + b = 8*p. Solve -3*u + 3 = -p for u. 2 Let r = 7051 + -7023. Solve 8*q = -r + 12 for q. -2 Let y(j) = -1349*j - 404696. Let u be y(-300). Let f be (2/(-4))/((-2)/4). Let n be (6 - 1) + f + -1. Solve u*l - 3 - n = 0 for l. 2 Let u = -8102 + 8146. Solve -u = -20*s + 31*s for s. -4 Let a(j) = -j**3 + 17*j**2 + 26*j + 29. Let r be a(18). Suppose 0 = -178*p + r*p + 10. Solve 8*i = p*i - 30 for i. -5 Suppose 0*w = w - 6 + 2. Solve 7*o + w - 11 = 0 for o. 1 Let r be 940/(-376) + 245/2. Solve -110*v + r*v = -30 for v. -3 Suppose -4*r = 5*f - 141, -363*f + 67 = 2*r - 364*f. Solve 0 = -31*a + r*a for a. 0 Let b be (-3)/((-12 + 5)/217). Let l = 252 - 164. Let a = b - l. Solve a*k - k + 12 = 0 for k. -3 Let y(z) = -38*z**2 - 7*z - 21. Let x be y(-4). Let v = x + 606. Solve 4 = 4*m - v*m for m. -4 Let b(g) = -28*g + 110. Let o(r) = 18*r - 73. Let f(s) = 5*b(s) + 8*o(s). Let u be f(9). Solve -4 = 2*d + u for d. -3 Let n(m) = -m**3 - 18*m**2 + 17*m + 22. Let w be n(-19). Solve -8*s - w = -44 for s. -2 Let v(y) = y**2 - 6*y + 15. Suppose -30 = -12*g + 2*g. Let c be v(g). Solve -c*u + 24 = -6 for u. 5 Let z be (-57 + 60)/((-4)/(-20)). Solve 92 = z*f + 32 for f. 4 Suppose -3*d + 16 = -5*r + 6*r, -3*d + 24 = 3*r. Suppose -8*a + 9*a + 146 = 3*s, 5*a + 213 = r*s. Solve s*h = 43*h for h. 0 Suppose -12*q + 16*q = -6*q + 370. Solve q*i + 85 = -63 for i. -4 Let v(q) = -2*q. Let h be v(2). Let y be ((-8)/h - 6)*-1. Suppose 0 = -r - 3*a + 16, -59*a + 57*a - 36 = -4*r. Solve r = k + y*k for k. 2 Let o = 115 - 115. Suppose o = -10*i + 20*i. Let q be 7/14 + (-5)/(-2). Solve 0 = -c - i - q for c. -3 Suppose 3*t + 7 = j - 7, 0 = 5*j + 2*t - 2. Suppose -3*u + 5*u = -2*o + 10, -j*o + 13 = 5*u. Suppose -7*x + 9 = -o*x. Solve c + x*c = 8 for c. 2 Let n(g) = 2*g**2 - 47*g - 149. Let i be n(-3). Solve -i*m = 3*m for m. 0 Let b(g) = 143*g**2 - 69*g**2 + 15 - 75*g**2 - 7*g. Let n be b(-5). Solve -3*l = -8*l - n for l. -5 Let d(s) = -2 - 7 - 1 + 149*s - 154*s. Let q be d(-2). Solve q*b = b for b. 0 Let t(k) be the first derivative of k**4/4 + 5*k**3/3 - 3*k**2 - 8*k + 40. Let f be t(-5). Suppose 0 = -14*l - 8 + f. Solve -w = -l + 2 for w. -1 Let t = 207 + -141. Suppose -t = -12*l - 10*l. Solve -i - l = 2*i for i. -1 Let k be (-10)/4*-12*(-6 - -5). Let x = -25 - k. Let q be (-2 + x)/((-12)/(-16)). Solve 5*t - q = 6 for t. 2 Let j = 8085 - 8078. Solve -5*s + j = 2 for s. 1 Suppose 0 = 5*i - 114 - 151. Suppose 17 + i = 5*p. Suppose -58*r - p = -60*r. Solve r + 13 = -5*k for k. -4 Let t be (-18 + -36)*7/(-21). Solve -10 = 14*o + t for o. -2 Let f(p) = -2*p**3 - 6*p**2 - 5*p + 1. Let m be f(-3). Suppose 3*l + 4*c + 9 - 25 = 0, -5*l + m = -4*c. Solve -9 - 7 = l*x for x. -4 Let z be 105/45*-4*(-6)/8. Solve -4*v - 31 = -z for v. -6 Let r(v) = -3*v**3 + 13*v**2 - 12*v + 10. Let k(y) = y**3 + y - 1. Let p(o) = 4*k(o) + r(o). Let x be p(-13). Let h = -110 + x. Solve 4*a + h*a - 8 = 0 for a. 2 Let r = 8 + 0. Let t be 12/r - 9/(-6). Suppose -805*k + 791*k = -70. Solve 2*v + k = -t for v. -4 Suppose 2*t - 378 = -12*t. Suppose 3*c - 12*c + t = 0. Solve -z = -c*z + 8 for z. 4 Let q(s) = -s + 3. Let d be q(0). Suppose 532 = -5*w + 3*y, 0 = -2*y + 5 + 3. Let u = w - -113. Solve -u - d = 3*b for b. -4 Suppose p = -p - 24. Let k(d) = -2*d - 20. Let s be k(p). Suppose 20 = s*c - 48. Solve -2 = 5*v - c for v. 3 Suppose 4*l + 4*i - 68 = 3*i, -2*i - 51 = -3*l. Suppose l = q + 52. Let d = q + 37. Solve -d*g - g + 3 = 0 for g. 1 Suppose -5*i + 231 - 11 = -60. Solve -2*l = -10*l + i for l. 7 Suppose -2*f - 61 = -v, 31*v - 30*v + f = 73. Solve 22*k = v*k + 282 for k. -6 Suppose -4*b = -3*j + 123, 0 = 3*j - 7*j + 5*b + 163. Let y = j - 32. Suppose y = 2*u + p + 3, u + 4 = 2*p. Solve -2*s + 0 + 2 = u for s. 1 Let p(a) = 4*a - 31. Let k be p(9). Suppose 10*m - 9*m = k. Suppose -3*n - 10 = m*t, n + 5*t + 40 = 4*n. Solve q = n - 1 for q. 4 Let n(p) = 4*p**2 + 58*p + 118. Let s be n(-14). Solve s = 31*y - 65 for y. 5 Let x(k) = -3*k**2 + 31*k - 10. Let g be x(10). Suppose g = -v - 2*v - 5*i + 8, i = -5*v + 28. Solve 0*b - 18 = v*b for b. -3 Let a be (51/5)/((-4)/(-28*5)). Let g = -350 + a. Solve g*c = 5*c + 8 for c. 4 Suppose 5*w - 2*w - 15 = 0. Suppose 18 = w*h - 7. Suppose 0 = 3*c + 2*y - y - 16, -h*y - 40 = -5*c. Solve 0 = 5*b + c + 4 for b. -2 Suppose 0 = r + 3 - 4. Let f be (-2)/12*3*56/(-7). Suppose 4*p + 3*k - 19 = -0*k, f*k - 20 = -4*p. Solve -p*t = 5 - r for t. -1 Let f = 123 - 119. Suppose 4*t - f*t - 4*t = 0. Suppose 2*p - 32 = -5*u, -4*u + t = -3*p + 2. Solve -j + p = 1 for j. 5 Let v(s) be the first derivative of 7*s**4/4 + 2*s**3/3 - s**2/2 - 11. Let c be (-12)/(-36) + 4/6. Let k be v(c). Solve 0*d - 2*d = k for d. -4 Let q(l) = 88*l - 83. Let y be q(2). Let z = y + -79. Solve 2 = 6*u + z for u. -2 Let r be (-24)/(-16)*3/9*10. Suppose 2*o - 37 = -5*f + r*o, -o = 4*f - 16. Solve -f*d = -2*d for d. 0 Suppose -365*r + 284 + 553 = -1353. Solve 42 = -r*d + 48 for d. 1 Let o be (86 - 0)/(1/1). Let f = o + -78. Suppose f - 10 = -t. Solve g + t + 3 = 0 for g. -5 Suppose -u + 10 = 4*u. Suppose -15*s + 4335 = 274*s. Solve -g = u*g + s for g. -5 Let y = 24 - 29. Suppose 0 = 9*l - 8*l - 28. Let b be l/(-12)*(y + 2). Solve -4*x + 3 = b for x. -1 Let n = 818 + -822. Let s be 15 + -15 + (n - -9). Solve -5*w - s*w + 5*w = 0 for w. 0 Let d(b) = -2*b**3 - b**2 + 3*b + 3. Let l be d(-2). Let v(p) = 1. Let k(a) = a - 9. Let j(c) = 2*k(c) + 2*v(c). Let r be j(9). Solve h - l = -r*h for h. 3 Let x = 349 - 125. Suppose 0 = -22*f - 4 + x. Solve f = -4*c - c for c. -2 Let x = 0 - 20. Let z be 5*(-4 + (-88)/x). Solve -z*t + 4*t = 10 for t. 5 Suppose 2 = 3*m + 14, 3*a + m + 136 = 0. Let u be -5 - ((-57)/(-38))/(6/a). Solve 20 = -u*b - 4 for b. -4 Suppose 0 = 7*d + 11*d - 612. Suppose -36 = -q - d. Solve 0 = q*s - 5 + 13 for s. -4 Suppose -2*i = -3*i, -4*d + 5*i = -12. Let z(w) = -6*w**3 + 3*w + 7*w**3 - w**2 - 2*w**d + 4. Let b be z(-2). Solve b = 2*q - q for q. 2 Let k = 149 + -144. Let l be 8/k*(-6 + 11). Solve l = -2*g - 0 for g. -4 Let p = 22 - 20. Suppose -p*k + 335 = 3*k. Let a = k + -62. Solve -a*f + 32 - 12 = 0 for f. 4 Let k(u) be the third derivative of -u**5/60 + u**4/4 + 25*u**3/6 - 125*u**2. Let a be k(8). Solve 2*j + a*j + 55 = 0 for j. -5 Suppose 0 = 3*m - 10 + 1, 3*m - 21
{ "pile_set_name": "DM Mathematics" }
1/340 Calculate prob of picking 1 r and 3 b when four letters picked without replacement from trbbbbbbbtttbtbtttbb. 11/323 Three letters picked without replacement from {n: 3, y: 2, z: 1, l: 4}. What is prob of picking 2 n and 1 y? 1/20 Calculate prob of picking 2 n when two letters picked without replacement from nnnttnnttt. 2/9 Calculate prob of picking 1 h and 1 b when two letters picked without replacement from bhlenen. 1/21 Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {y: 4, g: 4, w: 1, d: 3, j: 1}. 1/78 What is prob of picking 1 c and 1 i when two letters picked without replacement from {i: 2, c: 7}? 7/18 Calculate prob of picking 2 z and 2 f when four letters picked without replacement from {f: 7, z: 5}. 14/33 Two letters picked without replacement from hohyhyhwo. What is prob of picking 2 o? 1/36 Two letters picked without replacement from {x: 9, o: 3}. Give prob of picking 2 x. 6/11 Two letters picked without replacement from {m: 1, h: 1, w: 1, e: 2, q: 2}. Give prob of picking 1 q and 1 e. 4/21 Four letters picked without replacement from {e: 6}. Give prob of picking 4 e. 1 Two letters picked without replacement from {j: 1, e: 1, y: 2, w: 2}. What is prob of picking 1 j and 1 w? 2/15 Calculate prob of picking 1 o, 2 l, and 1 b when four letters picked without replacement from {b: 4, l: 3, o: 9, g: 2}. 3/85 What is prob of picking 3 l when three letters picked without replacement from lll? 1 Calculate prob of picking 1 h and 1 c when two letters picked without replacement from hbc. 1/3 Calculate prob of picking 1 k, 1 j, and 2 y when four letters picked without replacement from {j: 8, k: 2, a: 2, y: 7}. 28/323 Calculate prob of picking 1 a and 1 j when two letters picked without replacement from tjjijuauuauthjt. 8/105 Two letters picked without replacement from {z: 2, u: 2, g: 2, y: 1, x: 1}. Give prob of picking 1 z and 1 g. 1/7 Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, a: 6, i: 2, k: 4, x: 1, z: 4}. 1/171 Four letters picked without replacement from oologgfxslg. Give prob of picking 2 f and 2 g. 0 Two letters picked without replacement from {o: 3, e: 1, s: 1, a: 2, y: 1, c: 3}. Give prob of picking 1 y and 1 s. 1/55 Calculate prob of picking 3 e when three letters picked without replacement from {e: 11, w: 1, a: 6}. 55/272 Three letters picked without replacement from qqqqq. Give prob of picking 3 q. 1 Four letters picked without replacement from qgkkg. What is prob of picking 2 g and 2 k? 1/5 Three letters picked without replacement from {v: 1, p: 5, t: 10, a: 1}. What is prob of picking 2 t and 1 v? 9/136 What is prob of picking 2 t when two letters picked without replacement from ttattjaat? 5/18 Two letters picked without replacement from xgggghgghhxxqxhxghh. Give prob of picking 1 h and 1 x. 10/57 Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {l: 2, s: 8}. 16/45 Calculate prob of picking 3 h and 1 r when four letters picked without replacement from {r: 5, s: 2, h: 13}. 286/969 Calculate prob of picking 2 k when two letters picked without replacement from {w: 4, p: 3, k: 3, r: 6, z: 3}. 1/57 Calculate prob of picking 3 u and 1 v when four letters picked without replacement from uvuvuuuvuvuvuvvvvuuu. 99/323 What is prob of picking 1 g and 1 p when two letters picked without replacement from {g: 7, p: 6, v: 2, k: 1, e: 1}? 21/68 Calculate prob of picking 1 z and 1 q when two letters picked without replacement from zwzzwzzzzzwqwzzwwz. 11/153 Two letters picked without replacement from foutctctcf. What is prob of picking 1 u and 1 c? 1/15 Calculate prob of picking 1 b, 1 u, and 1 k when three letters picked without replacement from bhkuz. 1/10 Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {r: 6, s: 5, m: 2, j: 1, e: 1}. 1/105 What is prob of picking 1 s and 3 c when four letters picked without replacement from {c: 4, s: 3}? 12/35 Calculate prob of picking 2 n and 2 z when four letters picked without replacement from {n: 3, u: 8, d: 1, z: 2, x: 5}. 1/1292 Calculate prob of picking 3 e and 1 i when four letters picked without replacement from eeeieeii. 3/7 What is prob of picking 1 n and 1 r when two letters picked without replacement from {n: 3, r: 11}? 33/91 What is prob of picking 1 l, 1 u, and 2 r when four letters picked without replacement from {u: 5, o: 3, r: 2, l: 2}? 2/99 Three letters picked without replacement from {m: 2, a: 6, c: 5, f: 1, r: 5}. Give prob of picking 1 m, 1 f, and 1 r. 10/969 What is prob of picking 1 a and 1 x when two letters picked without replacement from yezauxay? 1/14 Four letters picked without replacement from sssshhhssisshi. What is prob of picking 3 h and 1 i? 8/1001 Three letters picked without replacement from njww. What is prob of picking 2 w and 1 j? 1/4 Two letters picked without replacement from {b: 2, w: 5}. What is prob of picking 2 b? 1/21 Calculate prob of picking 1 w and 1 r when two letters picked without replacement from wfanrggan. 1/36 Three letters picked without replacement from {e: 4, z: 8, w: 4}. Give prob of picking 3 e. 1/140 Two letters picked without replacement from eceeeeeec. Give prob of picking 1 c and 1 e. 7/18 Three letters picked without replacement from fxtlssjl. What is prob of picking 1 x, 1 t, and 1 j? 1/56 What is prob of picking 4 p when four letters picked without replacement from {j: 3, p: 13}? 11/28 Two letters picked without replacement from {a: 4, r: 1, f: 2, y: 1}. What is prob of picking 2 a? 3/14 Calculate prob of picking 4 r when four letters picked without replacement from rrorrrooorrrrorrrrrr. 91/323 Three letters picked without replacement from xtxnxxxxxxxu. What is prob of picking 2 u and 1 n? 0 Calculate prob of picking 3 t when three letters picked without replacement from {e: 1, d: 7, t: 3, a: 1}. 1/220 Three letters picked without replacement from {g: 5, v: 3, b: 3}. What is prob of picking 1 v and 2 g? 2/11 Three letters picked without replacement from {r: 7}. Give prob of picking 3 r. 1 Four letters picked without replacement from {e: 1, u: 1, d: 2, z: 2, i: 1}. What is prob of picking 1 u, 1 d, 1 i, and 1 e? 2/35 Two letters picked without replacement from {n: 1, g: 1, x: 5, a: 5, l: 2, z: 2}. What is prob of picking 1 g and 1 l? 1/60 What is prob of picking 2 o when two letters picked without replacement from {o: 2, h: 10, f: 4}? 1/120 What is prob of picking 1 l and 1 q when two letters picked without replacement from qkiqikjkjmkjjkljjk? 2/153 Four letters picked without replacement from mmmm. Give prob of picking 4 m. 1 Calculate prob of picking 4 l when four letters picked without replacement from llllmllm. 3/14 Calculate prob of picking 1 l and 1 k when two letters picked without replacement from {l: 3, g: 1, m: 2, a: 6, k: 5}. 15/136 What is prob of picking 1 r and 2 q when three letters picked without replacement from {q: 4, a: 2, r: 8}? 12/91 Three letters picked without replacement from {r: 5, q: 1, m: 3, y: 4, p: 4, z: 1}. Give prob of picking 1 z and 2 r. 5/408 Calculate prob of picking 1 f and 1 m when two letters picked without replacement from fvsvvvyvymvvsfss. 1/60 What is prob of picking 2 w when two letters picked without replacement from wsswsskwfssksskswss? 2/57 Three letters picked without replacement from ejibeebei. Give prob of picking 1 i and 2 e. 1/7 Three letters picked without replacement from woowooowwwwow. Give prob of picking 3 w. 35/286 Three letters picked without replacement from yccycccccyc. What is prob of picking 1 c and 2 y? 8/55 What is prob of picking 2 c and 1 y when three letters picked without replacement from yccccy? 3/5 Three letters picked without replacement from yrhrrrhrhinhrziizz. What is prob of picking 1 z, 1 r, and 1 n? 3/136 Four letters picked without replacement from {u: 1, o: 16, j: 3}. What is prob of picking 3 o and 1 u? 112/969 What is prob of picking 1 q and 1 a when two letters picked without replacement from {f: 2, a: 1, q: 1, k: 7, c: 4, o: 3}? 1/153 Two letters picked without replacement from {g: 1, b: 1, x: 1, y: 10}. Give prob of picking 1 g and 1 y. 5/39 Two letters picked without replacement from hhhwhhmhmhwhh
{ "pile_set_name": "DM Mathematics" }
448. 81 Calculate the remainder when 2529 is divided by 2448. 81 Calculate the remainder when 73073 is divided by 37. 35 What is the remainder when 5407 is divided by 5400? 7 Calculate the remainder when 15802 is divided by 56. 10 Calculate the remainder when 5912 is divided by 93. 53 Calculate the remainder when 126710 is divided by 18101. 3 What is the remainder when 729 is divided by 253? 223 Calculate the remainder when 4923 is divided by 9. 0 Calculate the remainder when 3661 is divided by 1173. 142 What is the remainder when 23767 is divided by 3961? 1 What is the remainder when 16952 is divided by 16951? 1 Calculate the remainder when 54971 is divided by 75. 71 What is the remainder when 9009 is divided by 561? 33 What is the remainder when 14844 is divided by 323? 309 What is the remainder when 56058 is divided by 6994? 106 What is the remainder when 2949 is divided by 917? 198 What is the remainder when 38344 is divided by 38321? 23 What is the remainder when 679 is divided by 182? 133 What is the remainder when 114307 is divided by 915? 847 What is the remainder when 1284317 is divided by 80? 77 Calculate the remainder when 6097 is divided by 36. 13 What is the remainder when 15662 is divided by 7785? 92 Calculate the remainder when 150934 is divided by 199. 92 Calculate the remainder when 21368 is divided by 285. 278 What is the remainder when 51221 is divided by 12745? 241 Calculate the remainder when 21031 is divided by 37. 15 What is the remainder when 72586 is divided by 2268? 10 What is the remainder when 2446 is divided by 600? 46 Calculate the remainder when 28431 is divided by 235. 231 What is the remainder when 67890 is divided by 33880? 130 Calculate the remainder when 95508 is divided by 326. 316 What is the remainder when 15698 is divided by 1303? 62 What is the remainder when 1235 is divided by 1117? 118 Calculate the remainder when 165925 is divided by 779. 777 Calculate the remainder when 4094 is divided by 72. 62 Calculate the remainder when 75577 is divided by 37784. 9 Calculate the remainder when 22935 is divided by 996. 27 What is the remainder when 43450 is divided by 34? 32 What is the remainder when 35614 is divided by 14? 12 Calculate the remainder when 642 is divided by 359. 283 Calculate the remainder when 1410 is divided by 275. 35 What is the remainder when 356469 is divided by 215? 214 What is the remainder when 108149 is divided by 11? 8 What is the remainder when 46623 is divided by 99? 93 What is the remainder when 4791 is divided by 4654? 137 What is the remainder when 224 is divided by 167? 57 What is the remainder when 10954 is divided by 299? 190 What is the remainder when 1879 is divided by 935? 9 Calculate the remainder when 29094 is divided by 55. 54 Calculate the remainder when 27815 is divided by 958. 33 What is the remainder when 139869 is divided by 1128? 1125 Calculate the remainder when 45203 is divided by 22. 15 What is the remainder when 9804 is divided by 55? 14 Calculate the remainder when 1422083 is divided by 17. 16 Calculate the remainder when 26295 is divided by 173. 172 Calculate the remainder when 56065 is divided by 129. 79 Calculate the remainder when 22948 is divided by 3802. 136 What is the remainder when 56657 is divided by 114? 113 Calculate the remainder when 692 is divided by 73. 35 What is the remainder when 8383 is divided by 24? 7 What is the remainder when 2555 is divided by 1116? 323 Calculate the remainder when 7544 is divided by 28. 12 Calculate the remainder when 1030746 is divided by 106. 2 What is the remainder when 285426 is divided by 11? 9 Calculate the remainder when 10351 is divided by 792. 55 What is the remainder when 64798 is divided by 25? 23 What is the remainder when 7405 is divided by 3267? 871 What is the remainder when 14143 is divided by 208? 207 What is the remainder when 11098 is divided by 1081? 288 What is the remainder when 22359 is divided by 52? 51 What is the remainder when 16928 is divided by 121? 109 Calculate the remainder when 10037 is divided by 831. 65 What is the remainder when 317551 is divided by 892? 891 What is the remainder when 14506 is divided by 1283? 393 What is the remainder when 19275 is divided by 210? 165 Calculate the remainder when 1742 is divided by 1683. 59 What is the remainder when 6320 is divided by 79? 0 What is the remainder when 1563 is divided by 1395? 168 What is the remainder when 29102 is divided by 28? 10 Calculate the remainder when 84208 is divided by 787. 786 Calculate the remainder when 4918 is divided by 1963. 992 Calculate the remainder when 4245 is divided by 185. 175 What is the remainder when 16666 is divided by 278? 264 Calculate the remainder when 21149 is divided by 20706. 443 What is the remainder when 2527 is divided by 234? 187 Calculate the remainder when 272086 is divided by 24. 22 What is the remainder when 11711 is divided by 215? 101 Calculate the remainder when 1030 is divided by 420. 190 Calculate the remainder when 14212 is divided by 109. 42 Calculate the remainder when 10703 is divided by 131. 92 Calculate the remainder when 157127 is divided by 326. 321 What is the remainder when 12127 is divided by 505? 7 Calculate the remainder when 1219388 is divided by 406456. 20 Calculate the remainder when 294295 is divided by 54. 49 What is the remainder when 2954 is divided by 192? 74 What is the remainder when 272561 is divided by 15? 11 What is the remainder when 623230 is divided by 288? 286 What is the remainder when 46848 is divided by 11? 10 What is the remainder when 15324 is divided by 71? 59 Calculate the remainder when 13218 is divided by 1887. 9 What is the remainder when 13817 is divided by 330? 287 What is the remainder when 135452 is divided by 909? 11 What is the remainder when 46314 is divided by 27? 9 Calculate the remainder when 16834 is divided by 411. 394 What is the remainder when 1718 is divided by 420? 38 Calculate the remainder when 4249 is divided by 176. 25 Calculate the remainder when 57957 is divided by 252. 249 What is the remainder when 531752 is divided by 53? 3 What is the remainder when 19908 is divided by 29? 14 Calculate the remainder when 17223 is divided by 4277. 115 Calculate the remainder when 1270 is divided by 404. 58 What is the remainder when 262273 is divided by 38? 35 Calculate the remainder when 4556 is divided by 28. 20 Calculate the remainder when 44570 is divided by 3427. 19 What is the remainder when 6328 is divided by 230? 118 What is the remainder when 727 is divided by 87? 31 Calculate the remainder when 279448 is divided by 25. 23 Calculate the remainder when 33760 is divided by 299. 272 Calculate the remainder when 6269 is divided by 239. 55 What is the remainder when 107159 is divided by 36? 23 Calculate the remainder when 28501 is divided by 469. 361 Calculate the remainder when 15688 is divided by 2016. 1576 What is the remainder when 103774 is divided by 3840? 94 What is the remainder when 1348837 is divided by 8? 5 What is the remainder when 3294 is divided by 347? 171 What is the remainder when 1487 is divided by 476? 59 What is the remainder when 189609 is divided by 18? 15 Calculate the remainder when 46973 is divided by 259. 94 Calculate the remainder when 20192 is divided by 164. 20 What is the remainder when 5106 is divided by 182? 10 What is the remainder when 14056 is divided by 4608? 232 Calculate the remainder when 62295 is divided by 6. 3 What is the remainder when 3479485 is divided by 16? 13 What is the remainder when 14376 is divided by 2022? 222 Calculate the remainder when 3243 is divided by 98. 9 What is the remainder when 18682 is divided by 18604? 78 What is the remainder when 40699 is divided by 106? 101 Calculate the remainder when 9054 is divided by 562. 62 What is the remainder when 16596 is divided by 12? 0 Calculate the remainder when 15234 is divided by 15167. 67 What is the remainder when 56119 is divided by 18706? 1 What is the remainder when 108532 is divided by 517? 479 Calculate the remainder when 2415434 is divided by 1385. 1379 What is the remainder when 1953 is divided by 13? 3 What is the remainder when 1910 is divided by 721? 468 What is the remainder when 1640 is divided by 1629? 11 What
{ "pile_set_name": "DM Mathematics" }
Suppose 5*p = 5*k - 60, v*k - 4*k = -5*p - 25. What is h(p)? -3 Let m(x) = -x**2 - 16*x - 10. Suppose -103*z - 69*z + 569 = 2977. Calculate m(z). 18 Let x = -100 - -83. Let j = x + 12. Let a(h) = h**3 + 7*h**2 + 5*h - 7. What is a(j)? 18 Let z(o) = -o - 6. Let n be ((-63)/(-28) - 4)/((-4)/32). Suppose 125*a = 127*a + n. Determine z(a). 1 Let c(v) = -6*v**2 - v + 7. Let p be ((-3)/5)/(12/60). Give c(p). -44 Suppose 2*p = -2*b - 4, -5*p + 0*p - 2*b - 4 = 0. Let i(w) = -5*w + 4*w + p*w + w**2 - 2. Let s be ((-104)/78)/((-4)/(-6)). Calculate i(s). 4 Let s(x) = -4*x**3 + x**2 + x - 2. Let m(w) = -25*w**3 + 38*w**2 + 37*w + 69. Let d(a) = -m(a) + 6*s(a). Calculate d(33). -15 Suppose 4*k + i = -21, -3*i = -i - 6. Let z(s) = -s + 21. Let r(o) = -2*o + 31. Let l(y) = -5*r(y) + 8*z(y). What is l(k)? 1 Let a(s) = 8*s - 17 + s**3 + 22*s**2 + 51 + s - 8*s. Let f be a(-22). Let o(k) = -k**3 + 11*k**2 + 13*k - 7. What is o(f)? 5 Suppose 4*y + 24 = -2*h, 3*h - 24 = 4*y - 2*h. Let p(a) = 4*a - 30. Let f(v) = 5*v - 31. Let o(u) = y*p(u) + 5*f(u). Determine o(0). 25 Let h = 262 - 260. Let k be (-3 - -5) + -4 - -3. Let i(p) = -p**2 + 1. Let j(f) = -4*f + 3. Let y(o) = k*j(o) - i(o). What is y(h)? -2 Let t(a) = 3 - 251*a + 505*a + 16*a**2 - 250*a. Determine t(-1). 15 Let w(r) = -4*r + 4. Suppose -3*i - 20 = -7*i. Suppose 0 = -3*m - 9, 33 = 8*g - 5*g - 4*m. Suppose 4 = -5*z + 2*x - g, z + i*x = -13. Give w(z). 16 Let z(d) = -26 - 5 - 17*d + 63*d - 22*d - 21*d. Suppose -78 + 6 = -8*p. Calculate z(p). -4 Let n(a) be the first derivative of a**2 + 3*a - 4870. Suppose -4*s - 12 = 4*r, 2*r + 0*s + 8 = -4*s. Let d be r/4 - (-7)/2. Calculate n(d). 9 Let t(z) = z**2 - 3*z - 7. Let j = -651 - -443. Let c be -3*(j/60 - (-3)/(-15)). Suppose 6*m - c = 19. Give t(m). 3 Let u(j) = -37*j**3 + 41*j**2 + 28*j + 50. Let a(g) = -15*g**3 + 20*g**2 + 14*g + 23. Let d(c) = -5*a(c) + 2*u(c). Determine d(19). 80 Let r(d) = d**3 - 2*d**2 + 2*d + 5. Let c = 5732 + -5729. Calculate r(c). 20 Let s(o) be the first derivative of -o**4/4 - 2*o**3/3 + o**2/2 + o - 1222. Calculate s(0). 1 Let o = -7002 + 7000. Let h(a) = -a**3 - 4*a**2 - 2*a + 1. Calculate h(o). -3 Let y(b) be the first derivative of 67 - b + 7/2*b**2 + 1/3*b**3. Determine y(-7). -1 Let s(j) = -2 + 3 - 22*j - 13*j + 26*j. Let m = 474 - 477. Give s(m). 28 Let s(h) = -h**3 + 3*h**2 + 19*h - 7. Let o be s(6). Let a be o + (0 - -3 - (-7 + 6)). Let x(u) = u**2 - 2*u - 2*u**2 + 7*u - 4. What is x(a)? 2 Let f(t) = t**3 + 5*t**2 - 22*t - 87. Let k be f(-3). Let i(q) = 10*q**2 + 25*q - 4. What is i(k)? 11 Let u(f) = -f**3 - 71*f**2 + 630*f + 11. Let t be u(8). Let w(a) = 7*a**2 + 37*a + 5. Give w(t). -5 Suppose 32*y - 120 = 17*y + 23*y. Let v(t) = -t - 25. Calculate v(y). -10 Suppose -4*y - 215 = 5*r, -r - r = y + 53. Let f = -142 - y. Let j = f - -84. Let k(s) = s + 6. Calculate k(j). 3 Let y(f) be the first derivative of f**4/4 - f**3 + f - 748. Let x be (2 - 0) + 0/(-1). Let h be (x/(-3))/((-6)/27). Give y(h). 1 Let x(i) = -i - 7. Let j be x(-12). Let w be ((-62)/j)/((-15)/75). Let n(y) = -6 - w*y + y**2 - 5 + 67*y. Determine n(-8). 13 Let f(l) = -l**3 + l**2 - l - 1. Let n(k) = -7*k**3 + k**2 + 6*k - 16. Let z(a) = 6*f(a) - n(a). Let w be (-84)/(882/(-42)) + -11. Calculate z(w). -4 Let w(j) = -j**3 + 8*j**2 + 6*j + 6. Let d(c) = -3*c**3 + 22*c**2 + 19*c + 17. Let o(s) = -4*d(s) + 11*w(s). Give o(4). 22 Let x(a) be the third derivative of -a**3/6 - 2*a**2 - 290. Let u(r) = -r**2 - 4*r + 8. Let o be (-3)/(-2) - (-9)/2. Let i(f) = o*x(f) + u(f). Determine i(-6). -10 Suppose u = -2*w - 12, 260*w - 255*w = 2*u - 21. Let p(y) = -y**2 - 7*y - 10. What is p(w)? 0 Let s(n) = -87*n - 1537. Let p be s(-18). Let t(w) = w**2 - 29*w - 1. Calculate t(p). -1 Suppose -2*y - 4*a = 14, -2*y = a - 192 + 215. Let s(x) = -x**3 - 13*x**2 - 2*x - 19. Determine s(y). 7 Let g(n) = 2*n - 1 - 4*n - 1. Let f = -1640 - -1645. Calculate g(f). -12 Let v(u) = -u**3 - 5*u**2 + 10*u - 10. Let m be v(-7). Suppose -m*c + 4 = 112. Let b(n) = -8 + 10 + 5 + 5*n. What is b(c)? -23 Let c(n) be the second derivative of 4*n**3/3 - n**2 + 10*n. Let v be (13*(-4)/8)/((-3)/6). Suppose v*p - 9*p - 8 = 0. What is c(p)? 14 Let f(a) = a**2 + 6*a - 9. Suppose -6*m - 525 = 94*m - 25*m. Give f(m). -2 Let u(q) = 6*q**2 - 248 - 5*q**2 - 17*q + 0*q**2 + 229. What is u(16)? -35 Let y = -610855 - -610856. Let s(l) = 0*l + 2*l - 13*l**3 - l**2 - 1 + 0. What is s(y)? -13 Let x(i) be the second derivative of -i**4/6 + 8*i**3/3 - 31*i**2/2 + 767*i. Determine x(7). -17 Let v(a) = -a**3 + 2*a**2 + 5*a - 4. Let j be ((-20)/16)/((-2)/8). Let r be 2/(j*(-2)/(-15)). Suppose r*c + 2*o = -c + 6, 0 = c + 5*o + 12. Calculate v(c). 2 Let i(l) be the third derivative of l**5/30 - 23*l**4/12 + 23*l**3/6 - 3210*l**2. Determine i(22). -21 Let y be (-417)/(-12) - 1/(-4). Let f = -32 + y. Let m(j) = -3 - 6*j**2 + 5 - j**f - 8. Calculate m(-6). -6 Suppose -t = 46 - 38. Let a(k) = -k**3 - 9*k**2 - 11*k - 8. What is a(t)? 16 Let p(h) = -4*h**3 + 78*h**2 + 40*h + 5. Let x be p(20). Suppose 0 = -2*i + 4*c + 20, x*c - 4 = -4*i - 16. Let y(q) = -3*q**3 + 3*q - 2. Give y(i). -20 Let t(x) be the third derivative of -x**6/120 + x**5/6 - x**4/24 + 2*x**3/3 - 21*x**2 + 8*x. Determine t(10). -6 Let b(r) = 6*r**2 - 4*r + 2. Let a = 234 + -226. Suppose 0 = -n - 3*z + a, -2*z - 2*z + 18 = 5*n. Give b(n). 18 Suppose -5*u = -3*d + 1, 0*u = -2*u + 5*d - 8. Suppose 0*a + u = -a. Let m(q) = -6 + 15*q + 4 + 8 - 7. Give m(a). -16 Let f(b) be the second derivative of -b**4/12 + 7*b**3/6 - 5*b**2/2 - 29*b. Let w = -25 - -30. What is f(w)? 5 Let u(o) = o**2 - o + 3. Let w be u(0). Let k(j) = -1 - 27*j**3 + 10*j**3 + 4*j**2 + j**3 + 5*j**3 + j + 9*j**3. Determine k(w). -16 Let o(n) = -1. Let t(h) = h**3 + 2. Suppose 4*k - 10 = 5*b, b = k + 3*b - 9. Let l(f) = k*o(f) - t(f). Determine l(0). -7 Suppose 2*n = 3*b + 15 + 2, -20 = -3*n - b. Suppose -v - 4*j - 8 = 0, -j = 5*v - 0*j - 55. Let i(q) = -n*q + v*q - 3*q. Determine i(-2). -4 Let g(s) = -3*s**2 - 5*s. Let h(x) = -29*x**2 - 30*x + 159. Let l(y) = 9*g(y) - h(y). What is l(-6)? 3 Let u(k) = -4*k**3 - 6*k**2 - 3. Suppose 0 = -2*r + 4*r - 12. Let n(o) = -2 - r - 5 + 15 + 6*o**2 - o + 5*o**3. Let m(f) = 3*n(f) + 4*u(f). Determine m(-6). 12 Let x(a) = a. Suppose -5*c - 195 = -5*v, 5*v + 2*c - 99 = 103. Let r be (3/(-6) + 4/v)*-10. Suppose -4*y = k + 3*k - 20, -r*k = 5*y - 23. Determine x(y). 3 Let g(i) = 32*i - 24 - 67*i + 42*i + 1. Calculate g(3). -2 Let d(l) = -34*l**3 + 38*l**2 - 58*l - 54. Let u(a) = -7*a**3 + 8*a**2 - 12*a - 11. Let f(y) = 4*d(y) - 19*u(y). Determine f(-2). 25 Let w(p) = -p**3 + 12*p**2 - 14*p + 10. Let r be 2/25*-5 + 4/(-60)*-141. What is w(r)? 127 Let k(r) = 5*r - 13. Let f(h) = 16*h. Let i(b) = 43*b - 27. Let m(l) = -2*f(l) + i(l). Suppose g = -3*g - 24. Let q(y) = g*m(y) + 13*k(y). Determine q(-5). -2 Let t(n) be the first derivative of -3*n + 5/2*n**2 - 42. Give t(1). 2 Let x(h) = 4*h + 0*h - 3*h. Suppose 1 = -93*v + 3 - 95. Determine x(v). -1 Suppose -530*i + 724 = -336. Let x(z) be the third derivative of 0 - 14*z**i + 1/60*z**5 + 1/8*z**4 + 0*z - 2/3*z**3. What is x(-4)? 0 Suppose 457*h + 5*p + 19 = 453*h, -h + 39 = -5*p. Let i(a) be the second derivative of 22*a - 5/2*a**2 + 1/20*a**5 + 7/12*a**h + 0 + a**3. What is i(-6)? -5 Let q be 15 - (-3)/(-6)*12. Let v(i) = -i**3 + 8*i**2 + 8*i + 9. Let f be v(q). Let u(a) = -3*a**2 - a - 3 + 2*a**2 - 4. Calculate u(f). -7 Let n = 21 + 60. Let z(t) = 7*t**2 + 78 + 3*t + t**3 - 10*t**2 - n. Calculate z(3). 6 Suppose s = m - 5, -65*m + 15 = -62*m - 2*s. Let y(l) = -l**3 + 12*l**2 - 31*l - 6. Determine y(m). 14 Suppose -1818 = 111*j - 114*j. Let y = 612 - j. Let o(x) = x**3 - 8*x**2 + 11*x - 14. Determine o(y). -20 Suppose -19*n - 52 = 37*n + 228. Let r(o) = 6*o - 12. Give r(n). -42 Suppose 5*m = c - 44, m + 98*c - 4 = 95*c. Let a(k) = -k**3 - 9*k**2 - 10*k - 26. Determine a(m). -10 Let f(q) = -2 + 0*q - 3*q + 3*q**2 + q + 0*q**2. Let i be 20/(-50)*40/(-2)*1. Suppose -18 = -i*c - c. Determine f(c). 6 Let n(t) = 4*t**2 - 10*t + 29. Let m(i) = -2*i**2 + i - 3. Let k(v) = -3*m(v) - n(v). Calculate k(2). 2 Suppose 2*a = 4*j - 16, -4*j = -6*j + 2*a + 8. Suppose -28 = -4*p - t, 5 = j*p + 5*t - 7. Let l(o) = o**3 - 9*o**2 + 6*o
{ "pile_set_name": "DM Mathematics" }
. a**(-92592/11725) Simplify ((c**(-2/9)/(c/(c**(-1)/c*c)))/(((c**(1/2)*c)/c)/(c/(c*c*c*c**(-3/8)))))/((((c/(c**0/c))/c)/(c*c**6))/((c**(-3)*c)/(c**6*c))) assuming c is positive. c**(-529/72) Simplify (o**38*o**(-32)/o*o)/(o**(-37)/(o*o*(o**(-22/7)*o)/o)) assuming o is positive. o**(293/7) Simplify ((p*p**1)**9)**(12/13)*(p**(-2)*p**(-1/2))/(p**0)**(1/14) assuming p is positive. p**(367/26) Simplify (p/(p*p/(p/((p**(-21)/p)/p*p))))**(-30)/(p**(-13)*p/p**(-2/55)) assuming p is positive. p**(-35642/55) Simplify ((b**1*b/(b*b/b**3)*(b**(-8)*b)/(b**(2/19)/b))**(-43))**(24/7) assuming b is positive. b**(60888/133) Simplify ((n/n**(-1/17)*n*n)/(n*n**(1/30)))**32/((n/(n/(n*n**(1/2))*n))**(10/9)/((n**(-1/3)*n)/n**(4/9))) assuming n is positive. n**(5481/85) Simplify (x*x/(x/(x/x**2*x*x))*x**(-5)*x*(x*x/x**(-1/3))/x*x*x**6)/(x**(-4)*x*x*(x/((x*x**5*x)/x))/x*((x**1*x)/x)/(x**(-1/3)/x)) assuming x is positive. x**12 Simplify ((s**(2/9))**(-2/61)/(s/s**(3/2)*s**(4/7)/s))/((s**(-3/2)*s*s**1)/(s**(-1))**(-1)) assuming s is positive. s**(5462/3843) Simplify o**(-14)*o**(18/5)*o**(-4/11)/(o**(1/6)*o) assuming o is positive. o**(-3937/330) Simplify (r**24/r*r*r**(6/5)*(r**(-6/5)/r)/r**(-2/49))**(-1/45) assuming r is positive. r**(-1129/2205) Simplify (j**(14/3))**16*j/(j**(-2/13)/j)*j**(-2/47) assuming j is positive. j**(140734/1833) Simplify ((g**12*g)**38/(((g**0/g)/g)/(g/((g*g**(1/4))/g))))**(-2/51) assuming g is positive. g**(-1987/102) Simplify (d/(d**(-4/3)/d)*d*d*d*d**3*d*(d**0)**(15/7))/((d**(-2)*d**(-4)*d)/(d**3/(d**(4/7)/d))) assuming d is positive. d**(394/21) Simplify ((b/(b*b**(4/3)*b))/b*b**(-1))/(b**(-4/3)/b*((b**(-3)*b)/b*b)/b)*((b/b**(-8))/(b**2*b))/(b*b**(2/19)*b*b**(-2/3)) assuming b is positive. b**(317/57) Simplify ((f*f**(2/7)*f*f)/(f**(-6)/f))**48/((f/f**1*f**(-6))/((f/(f*(f*f**(-1)/f*f)/f*f))/f)**(-1/31)) assuming f is positive. f**(108445/217) Simplify ((((j*j**5/j)**(-39))**2)**(-6/5))**(-6/19) assuming j is positive. j**(-2808/19) Simplify ((c**(-8/5)/c*c)**43/((c*c/(c*(((c/(c/((c/((c**26/c)/c))/c)))/c)/c)/c*c))/(c*c**(-2/7))))**(-38) assuming c is positive. c**(126464/35) Simplify ((x**(-1/3))**(-3/5)/(x**(-5)/(x/x**5)))/(((x**(-2)/x)/x*x**(-1))/(x**(2/15)/((x**1/x*x)/x))) assuming x is positive. x**(19/3) Simplify (m**(2/5)*m**4*m**(-14)/((m/(m/m**10))/m))**(-10/11) assuming m is positive. m**(186/11) Simplify q/q**1*q**(-3/5)*q**(1/5)/q**(-2)*(((q*q**(-2/3))/q)/q**(-1/7))**(1/53) assuming q is positive. q**(8849/5565) Simplify (t**(-4/7)*t*t/((t**(-1/3)*t)/t)*(t*t**(-1/3))**(-2/111))/((t/(t*t**4))/t**(-2))**(-10) assuming t is positive. t**(-42541/2331) Simplify (d**(3/14)/d)**(2/3)/(d**(-31)*d/((d**(-2/103)*d)/d)) assuming d is positive. d**(63715/2163) Simplify ((((((b**3/b)/b)/b)/(b/(b*b**(-1)/b)*b))**48)**(-19/2))**(-2/85) assuming b is positive. b**(-2736/85) Simplify (y**20)**(-18)/(y**(6/13)/(y/(y*y**(-13))*y)) assuming y is positive. y**(-4504/13) Simplify p*p/(p*p/(p**3/p))*p/p**37*(p*p**17)/((p/((((p/(p**(-7/2)/p))/p)/p)/p*p)*p)/p) assuming p is positive. p**(-27/2) Simplify (a**(-6)/a**(-4/5)*(a*((a**(1/17)/a)/a)/a)/(a/a**(-2/17)*a))/((a*a**(-2/3)*a)/(a*a**(-3/8))*(a/(a*a/a**0))**(5/3)) assuming a is positive. a**(-16933/2040) Simplify ((d*(d/(d/(d/(d*d**(-2/3)))))/d*d)**(-19)/((d/d**4)/d**2))/(d/d**1*d**(-2/7))**(-36) assuming d is positive. d**(-776/21) Simplify (((d*d**(2/5))/d)**(2/19))**(-1)/((d*d*(d/(d/d**(-1/2))*d)/d)/d**6*d**(2/7)*d*(d*d**(-1/5)*d)/d*d) assuming d is positive. d**(365/266) Simplify ((j*j**(1/6)*j)**(-1/12))**(2/21)*(j**(1/7)/(j*j**(-7)*j))/((j**(-2/23)/j)/j**(-2/5)) assuming j is positive. j**(505349/86940) Simplify ((p*p**(1/5)*p/(p/p**(-6)))/(p**(2/5))**35)/(p/(p*p*p**(1/5))*p/(p**(-6)/p)*(p**(-1/5)/p)/p**6) assuming p is positive. p**(-92/5) Simplify ((((c**(-7/4))**(-12))**44)**(4/17))**(4/29) assuming c is positive. c**(14784/493) Simplify (n*n/(n/n**(-8))*n**4/n)**(1/63)/((n**(-1))**(-2/99)*(n**(-1/4))**(7/2)) assuming n is positive. n**(4387/5544) Simplify (((o/(o**(-5)*o*o)*o*o**6)**(-32))**(-7/4))**49 assuming o is positive. o**30184 Simplify (r/r**(2/43))/r**37*r**32*r*(r*r**5)/r assuming r is positive. r**(84/43) Simplify n**(-4)/n**(-7)*(n*((n*n**(-2/7)*n)/n)/n)**(-35)*(n**2*n/(n*n**(5/4)*n))/(((n/(n*n**(-1/3)/n)*n)/n)/n*n**(1/14)*n) assuming n is positive. n**(-1987/84) Simplify ((p**(-4/5)*p*p*p**(1/11))/(p/p**(-2/7)*p**(6/11)/p))/((p*p*p/p**(-4))/(p/(p*p*(p*p**(2/7)*p)/p)))**(4/13) assuming p is positive. p**(-923/385) Simplify ((((s/(s*s**(-1/3)*s))/s*s)**(-6/13)*s**(7/2)/((s*s/s**(-6/11))/s))**(7/9))**(-22) assuming s is positive. s**(-4529/117) Simplify ((v**(2/25)/v**5*v**0/(v**(4/5)*v))**(-50))**(-11/5) assuming v is positive. v**(-3696/5) Simplify (m*m*m/m**2*m*m*m*m**(-2/7)*(m**(-1/11)*m)/(m**(-5/2)*m*m*m))/(m**6*m*m**8/m*(m/m**(-1/6))/m**(3/7)) assuming m is positive. m**(-2452/231) Simplify (c**9/(c**(-1/10)*c*c))**(2/3)/(c/c**(-9)*c*c*c*c*(c*c**(-4))/c*c)**(-4/9) assuming c is positive. c**(433/45) Simplify (((l/l**(2/9)*l)/l)/(l*l**3)*(l/(l*l**3))/l*l**(2/9))/((l**(-3/7)*l)/(l*l**(-3/2)))**(12/7) assuming l is positive. l**(-433/49) Simplify (c**(-3/5)/c**4)**(-49)*((c*c/(c/(c*(c**(2/11)*c*c)/c))*c)/c**(-5))**(-14/3) assuming c is positive. c**(30121/165) Simplify ((d*d*d*d*d**(2/11))**(15/4)*d**(-11)/d**(-12))**(-2) assuming d is positive. d**(-367/11) Simplify (t**(-1/3))**(-34)*t**(-3/11)*t*t**7*((t*(((t*(t/(t*t*t*t**(-1/3)/t))/t)/t)/t)/t*t)/t)**(-5)/(t**(-1/5))**(-4/3) assuming t is positive. t**(1767/55) Simplify (t**(-4)*t**(-33)/t)/((t**16/t)/(t*(t/t**(-20))/t*t*t)) assuming t is positive. t**(-30) Simplify ((w*w*w**(-1/3))/w**(-4))**(-1/12)*((w*w*w/(((w/w**(-1)*w)/w)/w*w))**17)**(-3/14) assuming w is positive. w**(-1037/252) Simplify (((b*b*(b**(-2/29)*b)/b*b)/b*b**6)/((b**(-4)*b)/(b*b**(4/3))))/(((b**(5/6)*b)/b)/b*((b*b*b*b**13)/b)/b*b)**(10/9) assuming b is positive. b**(-2519/783) Simplify ((g**(-2/25)/g)/(g**2*g))**(14/9)*(g*g**(-3/5)*g**2/g)**39 assuming g is positive. g**(3619/75) Simplify (((t/(t**(-4)/t))/((t**(-11/2)/t)/t))/(t**(-1/8)*t**(-10)))**(-3/35) assuming t is positive. t**(-81/40) Simplify (w**(-8)*w*(w*(w*w**(22/5))/w*w)/w*w**(19/5)*w**(3/5))**(2/19) assuming w is positive. w**(28/95) Simplify ((((i*i*i*i**(-36)*i)/i*i*i*i)/i*i)/i*i**(-2/3))/(i*((i*(i/(i*i/(i/(i**16/i))))/i)/i)/i)**44 assuming i is positive. i**(2017/3) Simplify ((n**0*n)**(2/63)*((n**(-1/2)/n)/n)/n**6)/((n*n**(2/7))/(n/(n*n*n/(n*n**(-3/7))*n)))**(1/7) assuming n is positive. n**(-7937/882) Simplify ((i/(i**(-11)*i)*i)/i*i**13)**39/((i*i/(i*i**(-3/2))*i*i)**(-2/13))**15 assuming i is positive. i**(12303/13) Simplify ((f**1)**(-2/9)*f**(-6)*f/(f/(f**(-2/17)/f)))/((f**(-1)*f/((f*f**(-1)*f)/f))/((f*f**(-6)*f)/f*(f*f**1)/f*f)) assuming f is positive. f**(-1582/153) Simplify ((t**(2/19)*t**(-2/11))/(t**(-1/3)/t*t/t**(-3)))/(t**(3/5)*t*t*t*(((t*t*(t**(-1/11)/t*t)/t)/t)/t)/t)**(-13) assuming t is positive. t**(52903/3135) Simplify ((v**7/v)/v**(1/10))**(1/7)*((v*v/v**(-1/6)*v)/v**(-8))/((v**(-1/5)/v)/(((v**(-7)*v)/v)/v)) assuming v is positive. v**(547/105) Simplify ((x/(x**12*x)*((x/(x**(-1/10)/x))/x)/x)**29)**(-14) assuming x is positive. x**(24157/5) Simplify (t*t/t**(-6)*t**(1/8)/t)**(-15/7)/(t/t**(-6)*t**(-2/41)*t*t*t*t)**(-10/9) assuming t is positive. t**(-64055/20664) Simplify ((z**(-9/2)/(z*z**5*z))/(z**25)**(-13/8))**(10/21) assuming z is positive. z**(1165/84) Simplify (((t**(1/13)/t)/(t*t**(2/31)))/(t/t**(-36/7)*t**(31/5)))**(1/15) assuming t is positive. t**(-67377/70525) Simplify ((((b/b**(-1/2)*b)/b)**(-32)/((b*b*(b**(2/9)/b*b)/b*b*b*b)/(b/(b/b**(2/33))*b)))**39)**(-1/75) assuming b is positive. b**(13169/495) Simplify (f/(f/f**(-10)*f)*f**(3/11)*f/f**(-4/3)*(f**30*f)/f)**(-43) assuming f is positive. f**(-30659/33) Simplify ((o**(-1/4)/o*o)/(o/(o**(-11/5)*o)))**(-2/3)*(o**(-1/4)/o*(o*o/(o**(5/4)/o*o))/o)**28 assuming o is positive. o**(-1211/30) Simplify (j/(j**(11/3)/j))**(7/3)*(j/j**(8/11))/j**(-7/2) assuming j is positive. j**(-23/198) Simplify (s*s**(-3/8)/s*s*s/s**(-1/4))**(-4/13)/((s**1/s)/s**(-3/5)*((s/(s/s**(-8)))/s)/s**2) assuming s is positive. s**(1277/130) Simplify ((w**6*w**(1/8))/((w/w**11)/w**(-4)))**(-8) assuming w is positive. w**(-97) Simplify (
{ "pile_set_name": "DM Mathematics" }
t are the prime factors of 261855785? 5, 52371157 What are the prime factors of 5698447195? 5, 7, 1439, 113143 List the prime factors of 108977864. 2, 23, 653, 907 What are the prime factors of 1545157961? 29, 53281309 What are the prime factors of 266517320? 2, 5, 2207, 3019 What are the prime factors of 112657143? 3, 37552381 List the prime factors of 54458071. 54458071 What are the prime factors of 1744640997? 3, 11, 17, 163, 19079 List the prime factors of 1883408273. 1667, 1129819 What are the prime factors of 65857717? 23, 67, 42737 List the prime factors of 52402521. 3, 2789, 6263 List the prime factors of 180857462. 2, 90428731 List the prime factors of 236979726. 2, 3, 39496621 What are the prime factors of 497414305? 5, 17, 1609, 3637 What are the prime factors of 339662792? 2, 7, 6065407 List the prime factors of 90577587. 3, 307, 98347 What are the prime factors of 3337167091? 43, 1259, 61643 List the prime factors of 150265821. 3, 79, 269, 2357 What are the prime factors of 4076735? 5, 13, 19, 3301 What are the prime factors of 63492459? 3, 2791, 7583 What are the prime factors of 1172364996? 2, 3, 11, 8881553 What are the prime factors of 2015144468? 2, 37, 13615841 What are the prime factors of 261623316? 2, 3, 21801943 List the prime factors of 98060668. 2, 727, 33721 List the prime factors of 2264214469. 11, 29, 557, 12743 What are the prime factors of 157829360? 2, 5, 13, 17, 79, 113 List the prime factors of 6488666976. 2, 3, 11, 43, 142897 List the prime factors of 63473194. 2, 31736597 What are the prime factors of 1548914260? 2, 5, 77445713 List the prime factors of 696538886. 2, 348269443 List the prime factors of 3957620500. 2, 5, 103, 76847 List the prime factors of 22698686. 2, 37, 306739 List the prime factors of 1347682706. 2, 7177, 93889 List the prime factors of 5630768. 2, 11, 13, 23, 107 What are the prime factors of 2304833489? 7, 37, 8898971 List the prime factors of 2385358203. 3, 795119401 List the prime factors of 273211587. 3, 11, 31, 8093 What are the prime factors of 3375572726? 2, 1687786363 List the prime factors of 353369414. 2, 71, 139, 17903 List the prime factors of 101765452. 2, 109, 233407 List the prime factors of 1184296357. 41, 761, 37957 What are the prime factors of 23290581? 3, 163, 47629 List the prime factors of 3806640. 2, 3, 5, 17, 311 What are the prime factors of 1297071540? 2, 3, 5, 2179, 3307 What are the prime factors of 473591309? 31, 67, 107, 2131 List the prime factors of 1626110745. 3, 5, 7, 15486769 List the prime factors of 831458322. 2, 3, 109, 423781 List the prime factors of 65180239. 65180239 What are the prime factors of 250652064? 2, 3, 13, 200843 List the prime factors of 1071043120. 2, 5, 7, 1912577 What are the prime factors of 464711322? 2, 3, 2473, 31319 What are the prime factors of 1890089303? 33181, 56963 What are the prime factors of 245995486? 2, 11, 283, 39511 What are the prime factors of 311807845? 5, 62361569 List the prime factors of 81479729. 81479729 List the prime factors of 72987878. 2, 23, 1586693 What are the prime factors of 126858959? 131, 968389 What are the prime factors of 862627951? 5573, 154787 List the prime factors of 10862079. 3, 3620693 What are the prime factors of 137162203? 137162203 List the prime factors of 49721707. 7, 7103101 What are the prime factors of 1045235043? 3, 97, 399097 What are the prime factors of 53166848? 2, 7, 29669 List the prime factors of 25317348. 2, 3, 7, 19, 29, 547 What are the prime factors of 1977756842? 2, 988878421 List the prime factors of 1135877821. 13, 53, 1648589 List the prime factors of 165395319. 3, 577, 95549 What are the prime factors of 538516819? 563, 956513 What are the prime factors of 313409867? 7741, 40487 What are the prime factors of 337755926? 2, 2833, 59611 What are the prime factors of 326387467? 7, 46626781 What are the prime factors of 605721322? 2, 17, 179, 99527 What are the prime factors of 135874736? 2, 31, 273941 What are the prime factors of 34894149? 3, 17, 167, 241 What are the prime factors of 109622888? 2, 13702861 What are the prime factors of 123907412? 2, 41, 97, 7789 List the prime factors of 203225003. 67, 89, 173, 197 List the prime factors of 429371334. 2, 3, 7, 1135903 What are the prime factors of 67587707? 11, 73, 1153 List the prime factors of 123068693. 11, 337, 33199 What are the prime factors of 135088034? 2, 193, 269, 1301 List the prime factors of 38211014. 2, 19, 1005553 List the prime factors of 225188667. 3, 11, 252737 List the prime factors of 1724004809. 1724004809 List the prime factors of 1720009632. 2, 3, 11, 43, 37879 What are the prime factors of 837859921? 837859921 What are the prime factors of 31151712? 2, 3, 324497 List the prime factors of 1151046266. 2, 1493, 385481 List the prime factors of 1230649945. 5, 7, 29, 173209 What are the prime factors of 21783465? 3, 5, 11, 14669 List the prime factors of 137741691. 3, 45913897 What are the prime factors of 1013198297? 53, 19116949 List the prime factors of 3223869740. 2, 5, 7, 13, 59, 4289 List the prime factors of 131999376. 2, 3, 269, 10223 List the prime factors of 49564583. 2389, 20747 List the prime factors of 40021115. 5, 8004223 List the prime factors of 46665257. 41, 719, 1583 What are the prime factors of 2612780413? 101, 25869113 What are the prime factors of 851493644? 2, 212873411 What are the prime factors of 137236070? 2, 5, 17, 31, 26041 List the prime factors of 3361898223. 3, 17, 353, 20749 What are the prime factors of 2418938776? 2, 2693, 112279 List the prime factors of 611234859. 3, 47, 4334999 What are the prime factors of 798078057? 3, 7, 29, 1310473 List the prime factors of 117255299. 7, 31, 540347 List the prime factors of 38695955. 5, 7739191 What are the prime factors of 243736858? 2, 271, 449699 What are the prime factors of 13194479? 23, 573673 What are the prime factors of 979506731? 7, 17, 59, 139511 List the prime factors of 40775635. 5, 191, 42697 What are the prime factors of 76978210? 2, 5, 17, 452813 What are the prime factors of 1643191721? 1643191721 What are the prime factors of 467779677? 3, 19, 31, 264731 What are the prime factors of 6841710? 2, 3, 5, 19, 4001 What are the prime factors of 108197608? 2, 29, 466369 List the prime factors of 124187049. 3, 7, 557, 3539 What are the prime factors of 5199249043? 17, 305838179 What are the prime factors of 1260742669? 71, 17756939 What are the prime factors of 88782680? 2, 5, 7, 109, 2909 List the prime factors of 241029441. 3, 467, 57347 List the prime factors of 36797338. 2, 19, 67, 97, 149 What are the prime factors of 231188415? 3, 5, 15412561 What are the prime factors of 2446687334? 2, 7, 13, 13443337 What are the prime factors of 247806513? 3, 47, 195277 List the prime factors of 13714204. 2, 7, 489793 What are the prime factors of 127264836? 2, 3, 2539, 4177 What are the prime factors of 642536352? 2, 3, 17, 263, 499 What are the prime factors of 1260547? 1260547 List the prime factors of 2229808901. 18367, 121403 List the prime factors of 72571793. 7, 17, 87121 List the prime factors of 2138800565. 5, 11, 47, 827389 List the prime factors of 58912162. 2, 41, 67, 10723 List the prime factors of 5453861426. 2, 13, 17, 3467, 3559 What are the prime factors of 776987170? 2, 5, 77698717 List the prime factors of 43497836. 2, 31, 350789 List the prime factors of 51075598. 2, 7, 941, 3877 List the prime factors of 280386606. 2, 3, 23, 673, 3019 What are the prime factors of 30780083? 443, 69481 What are the prime factors of 146827323? 3, 1812683 What are the prime factors of 476673213? 3, 59, 683, 3943 What are the prime factors of 190079962? 2, 95039981 List the prime factors of 159102244. 2, 7, 5682223 List the prime factors of 12120659. 31, 390989 What are the prime factors of 257873631? 3, 23, 47, 131, 607 What are the prime factors of 117329962? 2, 61, 83, 11587 List the prime factors of 8667904. 2, 7, 691 What are the prime factors of 41608785? 3, 5, 2773919 What are the prime factors of 236594206? 2, 37, 3197219 List the prime factors of 29802261. 3, 9934087 What are the prime factors of 285149238? 2, 3, 11, 4320443 List the prime factors of 958145083. 7, 503, 541 List the prime factors of 10151
{ "pile_set_name": "DM Mathematics" }
2 + (-2 - -9) - -7? 2 Calculate 3 + -1 + 1 + 2. 5 Evaluate 6 - ((10 - 6 - 3) + 7). -2 Calculate -4 + 7 + -4 + 1. 0 What is (3 - (-7 - -5)) + -6? -1 What is 59 + -69 - (-10 - -1)? -1 What is -6 + 9 + (3 - 8 - -4)? 2 Evaluate (1 - 8) + -9 + 12. -4 -3 + 8 + -3 - -5 - 3 4 What is (3 - 4 - -8) + -6? 1 (1 + 5 + -3 - 4) + 0 -1 Evaluate -2 + 0 + 3 - 0. 1 What is 0 + (4 - 6) + 3? 1 Evaluate (6 - (11 + -4 - 4)) + 0. 3 Calculate 11 + (-5 - 2 - -2). 6 Calculate (-6 - 0) + 4 - 5. -7 -9 + 2 + (4 - (2 + 1)) -6 What is 7 + -3 + -2 + -7? -5 What is the value of 0 + 9 + (2 - 15)? -4 Calculate (5 - 2) + (-9 - -1) + 3. -2 -7 + (-9 + 13 - -4) 1 What is -3 + 3 + 4 + 4 + -10? -2 Calculate -1 + 3 - -6 - (4 - 1). 5 What is the value of -1 + (-5 - (5 + -8))? -3 -3 - (27 + -15 + -10) -5 What is (-4 - -1 - 0) + (-20 - -21)? -2 2 + (-6 - -9) + -4 - -4 5 Calculate 2 + 1 + 1 + (-3 - 0). 1 Calculate (4 - -12) + -15 + 2 + 1. 4 What is the value of 10 + -4 - -1 - 12? -5 Evaluate -6 + 0 + (-6 - -10) + -1. -3 What is the value of (-5 - -2) + -9 + 7? -5 Evaluate (-1 - -10) + 5 + -6 + -3. 5 What is 1 + -1 + 2 + 1 - 2? 1 What is 7 - (11 - 3) - 0? -1 What is the value of -20 + 17 + (-1 - -1)? -3 Evaluate -5 + (0 - -2) - (-1 + -1). -1 Calculate (-4 + -1 - -3) + 7. 5 5 + -2 + 2 + (2 - 4) 3 4 + -16 + 2 + 5 -5 -4 + (-2 - (9 - 7)) -8 What is the value of 2 + 1 + 0 - 1? 2 Evaluate (18 + -29 - (-2 + 2)) + 5. -6 Evaluate 10 - (7 + -11 + 19). -5 What is 1 + (4 + -1 - 4) + -2? -2 What is the value of (-6 - 0) + 8 - (-5 + 1)? 6 Evaluate 2 + 5 + -20 + 12. -1 What is the value of 53 + -57 + -1 + 2 + 1? -2 Calculate (8 - -1) + -5 - 3. 1 Evaluate 4 - 1 - (4 + -1 + -1). 1 What is the value of 9 - (3 + -3 + 6)? 3 Calculate 1 - -5 - (21 - 9). -6 Evaluate 2 - (4 + 0) - 1. -3 Evaluate -182 - -188 - (-3 - (1 - 1)). 9 3 - (0 - -4) - (3 + -6) 2 What is -8 + (12 - -1) - 12? -7 What is the value of 1 - (3 - (-4 + 5))? -1 Calculate -2 - (-14 + 8 + (0 - -3)). 1 What is the value of -2 + 4 - (5 + (0 - 0))? -3 What is the value of (3 - 2) + -4 + 2 + 8? 7 Calculate 5 - (-7 - (-8 + -2)). 2 Evaluate 5 - 3 - (2 - 1). 1 Evaluate 5 + (-1 - (3 + -2)). 3 What is -8 + 5 + -2 - (0 + 0)? -5 What is (8 - (7 - (0 - -2))) + -10? -7 What is (-3 - 4) + (0 - 0) + 2? -5 -3 - -5 - (-2 - 0) 4 What is -9 + -1 - -4 - -4? -2 What is the value of -1 + -8 + 6 + 5 - 1? 1 Calculate 7 + (-3 - -1) + (0 - 0). 5 Evaluate -1 - (-2 - 0 - -2 - 3). 2 Evaluate -27 - -29 - (-2 - 2). 6 28 - 30 - ((2 - 8) + 1) 3 -1 + 0 - -1 - (-8 + 3) 5 What is the value of 1 + 4 + -7 - (0 + 1)? -3 What is -6 + 14 + -3 + 4 + -4? 5 Calculate -2 + (1 + 0 - 2). -3 78 - 84 - (0 + -1) -5 What is 0 + 7 + -1 + -4 - -2? 4 Evaluate 4 - ((-8 - -4) + 13). -5 What is the value of 80 - 86 - (-2 + 1 + -3)? -2 Evaluate -4 + (-3 + 0 - (4 + -6)). -5 5 + (5 - 7) + 3 6 What is -6 + 9 + (4 + -8 - 1)? -2 Evaluate -2 + 9 + (36 - 43). 0 8 - (-4 + (3 - -5) + 0) 4 7 + (-1 - -4 - 10) 0 -6 + (-4 - (-2 + -4 - 2)) -2 Evaluate -4 - (-2 - (-5 + -2)) - -4. -5 Evaluate (4 - 12 - 2) + 10. 0 Evaluate -9 + 12 + (5 - 3). 5 Evaluate 2 + 8 + -5 + -2 + 0. 3 Evaluate 1 - 1 - (13 - 20). 7 What is -7 + 7 + (1 - (0 - 0))? 1 Calculate -13 + 3 + (2 - -3) - -1. -4 What is (5 - 10) + -1 + -1 + 2? -5 (-9 - -2) + (46 - 36) 3 Calculate -30 - -29 - (1 - 3). 1 -9 - (-2 + -5 - -10 - 5) -7 7 - (-5 + 8 + 12) -8 Calculate 7 - (2 + -7) - 16. -4 (10 - 8) + -3 - (-1 + 1) -1 What is the value of (9 - 4 - 1) + -8? -4 Evaluate -1 - -24 - (23 - 10). 10 Evaluate (3 - (-7 + 4)) + (-1 - 10). -5 3 + -6 + 5 + 1 3 (4 - (-7 - -11)) + -5 -5 Calculate (-3 + -5 - (1 + -6)) + -1. -4 What is the value of 12 + (8 - 12) + -5? 3 Evaluate (-6 + 6 - -1) + 5. 6 What is -5 + (-2 - 1) + (12 - -1)? 5 What is 0 + (2 - (2 - (3 - 6)))? -3 -19 - -12 - (-2 - 9) 4 What is the value of 4 - 1 - (2 - 5) - 4? 2 (-18 - (-20 + 8)) + 4 -2 Evaluate (-2 + 10 - 3) + 0 + 0. 5 Evaluate (-10 - -7) + 4 + 7 - 0. 8 Evaluate -12 + 0 + (0 - (0 + -4)). -8 What is 8 + 3 + (-21 - -17)? 7 Evaluate (10 - 7) + -1 + -2 + 1. 1 Calculate -4 + 4 + 10 + (-8 - 7). -5 Evaluate -5 - (-11 - -2 - -4). 0 What is (2 - -2) + -8 + -3 + 4? -3 Evaluate (-23 - -22) + -3 + 0. -4 What is the value of 4 + 3 + 2 + -6? 3 Evaluate 2 + -2 + -2 + -4 + 4. -2 What is -2 - (-6 - -9) - 0? -5 What is the value of -3 + 6 + -1 - 3? -1 Calculate 3 - (9 + -4) - (3 - 8). 3 What is 22 - 20 - (4 - -1)? -3 -5 + (10 + -5 + -5 - -2) -3 Evaluate 1 - (-2 - -3 - -2). -2 Calculate -3 + -13 + 19 + (-1 - 5). -3 Evaluate 0 - -1 - 1 - 0. 0 What is the value of -3 + 8 + (-5 - -2)? 2 What is 1 + 20 + -25 + 15? 11 What is the value of (0 - 9) + 5 + 2 + 1? -1 What is (8 - (3 - 6)) + (55 - 60)? 6 3 + 1 + 1 + (10 - 9) 6 -11 + (6 - 12 - -12) -5 What is the value of 6 - (-16 + 16 + 2 + 0)? 4 Evaluate 0 - (2 - (4 - 1)). 1 What is 11 - 17 - (0 - 1 - 2)? -3 Calculate 2 + 1 + -1 + -2 - -3. 3 Evaluate -230 - -235 - (-1 - (0 - 2)). 4 Calculate 7 + -13 + 1 + 1 + 1. -3 What is the value of -1 - -1 - (-2 - 14 - -8)? 8 Calculate 8 - 7 - (-9 - -6). 4 What is 0 - -3 - (40 - 43)? 6 Evaluate (-4 - 8 - -5) + 7 + 2. 2 Calculate 1 + (-4 + 8 - 1). 4 What is (1 - 2) + (1 - 1)? -1 What is the value of 6 + (-1 - 0) - (143 - 136)? -2 (4 - 1) + (-5 - -5) 3 What is 3 + (2 - -2 - 8) - 3? -4 What is 3 + -2 + (-3 - 1)? -3 Evaluate -13 + 7 - (-8 + -5). 7 -7 + 8 - (2 - (3 + -2)) 0 Calculate -2 + (-6 + 8 - -6). 6 Calculate 7 - (32 + -33 + (14 - 1)). -5 Evaluate 3 + 0 + 0 - (3 - 5). 5 Evaluate (1 - (-2 - 2)) + 27 + -37. -5 What is 1 + -5 - 4 - -3? -5 What is 0 + 4 - (71 + -71)? 4 What is (-5 - -7) + 3 + -5? 0 What is 3 + 0 + -4 + (4 - 6)? -3 What is -2 + ((1 - 2) + -3 - -3)? -3 Calculate -2 + (-4 - -8) + -3. -1 Calculate -5 + 10 + (0 - 0). 5 Calculate (8 + -7 - 5) + 4. 0 Calculate 6 + -2 + 0 + 4 - 5. 3 (-3 - -2) + -5 - -2 -4 What is 4 + 0 - -8 - (25 - 19)? 6 What is (-14 - (15 + -27)) + 1 + -1? -2 Calculate -2 + 0 + -4 + 3 + 7. 4 Calculate (0 - 2) + -3 + 0. -5 Calculate -3 - (-2 - -4 - 3). -2 What is the value of 13 + -13 - (10 + -15)? 5 What is -3 - (3 + -3) - -2? -1 Evaluate -46 + 44 + (-1 - -2 - 3). -4 Calculate (894 - 887) + (-1 - (-1 - -2)). 5 What is the value of 3 + -2 + -2 + -4 + 12? 7 Calculate -1 + 4 + 2 + -9 + 5. 1 What is -11 + (1 - -6 - (-28 + 32))? -8 -2 + 1 - 3 - -9 5 Evaluate (0 - (0 + 4)) + (-7 - -8). -3 14 - 13 - (-2 + 7) -4 What is the value of -2 + 3 + -25 + 28? 4 Calculate 6 + (10 + (2 - 7) - 6). 5 Evaluate 1 - 8 - -6 - (-1 - 3). 3 Evaluate 3 + (-1 - (1 - 4)). 5 What is 6 - (0 + 4 + -2)? 4 What is the value of -2 + (4 - 7 - (-3 - -1))? -3 Calculate (8 + -5 - 0) + -6. -3 What is the value of -5 - -7 - (24 - 25)? 3 -1 + (1 + -4 - -3) -1 2 + -2 + 2 + 3 5 Evaluate -5 + (2 + 0 - (9 + -2)). -10 What is 2 + (0 - 2 - 0)? 0 (2 - (6 - 4)) + 1 1 What is 1 - (3 + (-2 - 1))? 1 -1 + (3 - 0) - (-2 - 1) 5 Calculate (0 - -3) + -5 + 0. -2 Evaluate -1 - ((-6 - 0) + 1). 4 Calculate 2 + 1 + 2 + -3 + 2. 4 (4 - 11 - -5) + -1 -3 What is (1 - (7 + -3)) + 3 + 0? 0 What is the value of 0 + 0 - ((2 - -4) + -6)? 0 What is 6 + (6 - (-9 - -14))? 7 Calculate -12 - -4 - 3 - -11. 0 Evaluate -1 - 5 - (5 - 11). 0 Evaluate 17 + (-3 - (2 + 0 + 3)). 9 What is the value of 1 - (9 + 13 + -21)? 0 What is the value of 12 + (-3 - -5 - 6)? 8 What is the value of -6 + (-28 + 29 - (0 - -3))? -8 What is 7 + (-2 - 3) + -3 + 5? 4 What is (4 - (-10 - 0)) + -12? 2 What is the value of -2 + -1 - (1 + 4 + -3)? -5 Calculate 7 - 1 - (-19 + 20). 5 4 + -4 + -1 + 6 5 What is -1 + -3 + (8 - 3 - -1)? 2 Calculate -51 + 51 - (-1 + 5). -4 What is -15 + (12 - (0 + 6))? -9 What is the value of -3 + -2 + (7 - 2)? 0 What is the value of -7 + 2 + 6 + -3 - 1? -3 5 - 3 - (6 + -15 - -11) 0 7 - ((7 - (-1 + 9)) + 1) 7 What is the value of -7 + (-7 - (6 + -26) - 6)? 0 Calculate 15 - 15 - (1 - 0). -1 What is the value of 0 + 2 + 0 + -3 + -1? -2 5 + -1 + 0 - 2 2 Evaluate -5 + 2 - -7 - -1. 5 (0 - 1 - -2) + (2 - 0) 3 What is the value of 6 - (-7 - (-6 + -6))? 1 What is the value of 0 + -3 - -1 - -5 - -1? 4 What is (3 + -3 + 5 - 2) + -7? -4 Calculate 3 - -6 - 1 - (4 + 0). 4 Evaluate 0 + 3 - (15 + -21 - -9). 0 Calculate -2 + 10 + -33 + 29. 4 What is the value of (4 - 5 - -8) + -8? -1 (0 - -3 - 2) + 0 1 What is the value of 7 - (-19 + 29 - (3 - 0))? 0 Calculate -1 + (-4 - (0 - 11)). 6 What is the value of (-1 - -3) + 6
{ "pile_set_name": "DM Mathematics" }
mainder when s is divided by 154? 16 Let f be 4/(-30) - 12*190/(-225). Let i = 55 - f. What is the remainder when 109 is divided by i? 19 Let s = -71 - -111. Suppose 39*h + 25 = s*h. Calculate the remainder when h is divided by 13. 12 Let w = 206 + -195. Let z(d) = -d**3 + 12*d**2 - 7*d + 2. What is the remainder when z(w) is divided by 33? 13 What is the remainder when 5*(-2101)/(-55) + 0 + 1 + 3 is divided by 29? 21 Let b(c) = 7*c**3 - 93*c**2 - 41*c + 69. Suppose -2*u + 29 = -39. Calculate the remainder when b(14) is divided by u. 33 Let v = -5015 - -5057. Calculate the remainder when 2096 is divided by v. 38 Suppose q - 292 - 382 = -2*l, -3*l - 2067 = -3*q. Calculate the remainder when q is divided by 30. 24 Let f(d) = 1. Let n(q) = -q**2 + 3*q + 34. Let v(m) = -5*f(m) - n(m). Let u be v(17). Suppose -44 = -3*h + u. Calculate the remainder when h is divided by 28. 25 Let o be 41/(-1)*(-17 - -14). Suppose 0 = -99*w + o*w - 2712. What is the remainder when w is divided by 29? 26 Let j(k) = 3*k - 7. Let w be 11*(6/(-2) - -4). Let d be j(w). Suppose 18 = -d*i + 35*i. Calculate the remainder when 8 is divided by i. 0 Let a(r) = -r. Let z be 6 + 4 - -4 - 1. Let m = -2 - z. What is the remainder when 44 is divided by a(m)? 14 Let k(d) = 4*d**2 - 369*d - 606. Calculate the remainder when k(94) is divided by 39. 13 Let o(y) = 344*y**2 - 179*y - 16. What is the remainder when o(-3) is divided by 27? 26 Let c(r) = 13*r + 4. Suppose 2*o = -2*p + 12, 0 = 2*p + 3*p + o - 18. Calculate the remainder when c(p) is divided by 42. 1 Let s be ((-152)/4)/(5 + (-138)/27). Suppose 27 = -7*a + s. What is the remainder when a is divided by 23? 22 Calculate the remainder when 312 is divided by (-59926)/(-747) - (3/1 - 100/36). 72 Let s be -4*(-1 + (-1 - -1)). Let w = 22 + s. Let a = -675 - -827. Calculate the remainder when a is divided by w. 22 Let h(c) = c**2 - 24*c - 300. Calculate the remainder when 297 is divided by h(-15). 12 Let q = 92 - 122. Let f be ((-20)/25)/((-4)/q). What is the remainder when 47 is divided by (-4)/((-7)/((-147)/f))? 5 Suppose 4*o - 2*z = 224, -45*o + 3*z - 291 = -50*o. What is the remainder when 87 is divided by o? 30 Let r(l) be the third derivative of 17*l**5/60 + 7*l**4/24 + 5*l**3/6 - 33*l**2. Let o be r(4). Let g = 446 - o. What is the remainder when g is divided by 16? 13 Suppose 12 = -218*m + 221*m. Suppose -90 = -3*j + j - 4*r, r - 173 = -m*j. Calculate the remainder when j is divided by 13. 4 Let m be (3 + (-6)/4)/((-6)/(-4)). Calculate the remainder when -1*((-486)/m + 7) is divided by 37. 35 Let n(s) = 54 - 45 - 41 - 16*s. Calculate the remainder when 30 is divided by n(-3). 14 Let l = 36 - -14. Suppose l + 74 = x. What is the remainder when x is divided by (23 - (-10)/1) + -1*2/2? 28 Calculate the remainder when 20 - (187/11 + -5831) is divided by 13. 10 Let f = -137 - -14. Let n = f - -186. What is the remainder when n is divided by 2 + (-238)/(-22) + -2*26/(-286)? 11 Let h = 9208 + -8538. Calculate the remainder when h is divided by 149. 74 Let n(b) = 4*b**2 + 32*b - 213. Calculate the remainder when n(9) is divided by 254. 145 Let s = -5 + 7. Suppose -s*i + 0 + 3 = -3*f, 5*f = -5. Suppose i = 4*l + 28 - 56. Calculate the remainder when 23 is divided by l. 2 Let o(p) = -p + 13. Let q be 18*40/112 + 8/14. Calculate the remainder when 21 is divided by o(q). 3 Let k(l) = 2*l**2 - 460*l - 1832. Calculate the remainder when 3353 is divided by k(-4). 33 Let f = -22161 + 22174. Calculate the remainder when 535 is divided by f. 2 Let h(r) = 2*r + 15. Let j(a) = -a**2 - 13*a - 2. Let n be j(-10). Suppose v - 5*v = -n. What is the remainder when h(v) is divided by 15? 14 Suppose -4*b - 14 = -2*r, 2*b = 4*r - 4 - 18. Suppose 187 = -45*u + 62*u. Calculate the remainder when b - 0 - (-52)/1 is divided by u. 7 Let l(i) = -i**3 - 2*i**2 - 2*i - 8. Let c be l(0). What is the remainder when (-204)/c - (-36)/(-24) is divided by 13? 11 Suppose -4*l + 4*h + 355 - 331 = 0, -l = 2*h - 9. What is the remainder when 31 is divided by l? 3 Suppose 0 = 3*j + 5*z - 275 - 16, 2*j - 194 = z. Suppose -u - 75 = -d, -5*u - 402 = -0*u + 4*d. Let t = j + u. Calculate the remainder when t is divided by 4. 3 Suppose 9*b = -14 - 4. Calculate the remainder when (b + 7)/((-1)/(-25)) is divided by 27. 17 Let j = -1 + 27. Suppose -u + j = 21. Suppose u*c = 3*n - 22, n + 5*c = 32 + 2. Calculate the remainder when 37 is divided by n. 9 Calculate the remainder when 362 is divided by (-440)/165*(-174)/8. 14 Suppose -a - 3*v + 409 = 360, -2*a - 3*v = -83. Calculate the remainder when 1496 is divided by a. 0 Suppose 0 = -4*q + 14 - 110. Let g = 48 + q. Calculate the remainder when 2/(3/(-366)*-4) is divided by g. 13 Suppose 47 - 20 = 9*l. Suppose 262 = 2*a - 2*h, 0 = 6*h - l*h. What is the remainder when a is divided by 34? 29 Suppose -209 = -204*l + 193*l. What is the remainder when 909 is divided by l? 16 Let t(c) = -c**3 - 3*c**2 + 9*c + 14. Let n = -19 - -23. Suppose n*w - h = -4*h + 203, 5*h - 197 = -4*w. What is the remainder when w is divided by t(-5)? 15 Suppose -5*v - 6478*f = -6477*f - 966, 4*f = 2*v - 404. What is the remainder when 13772 is divided by v? 192 Suppose f - 4*f - 5*y + 29 = 0, -5*f - y + 19 = 0. Suppose -2*a = 0, i - f - 9 = 4*a. Calculate the remainder when 20 is divided by i. 8 Suppose 222 = -2*d + 4*d. Suppose -276*o + 278*o - 5*w = 70, -30 = 5*w. What is the remainder when d is divided by o? 11 Suppose 342 = 5*w - 3*w. Suppose -5*a + 2*z + 168 = 0, -18*a + 19*a - z = 30. Calculate the remainder when w is divided by a. 27 Let x = 788 - 758. Calculate the remainder when 324*(5/(-20) + (-6)/(-8)) is divided by x. 12 Let g be (81/(18/2))/((-2)/(-58)). Suppose 2*y = 13 - 5, -3*m + 3*y - 483 = 0. Let x = g + m. Calculate the remainder when x is divided by 36. 32 Let v(u) = 4*u - 49. Let g be ((-93)/5)/((-10)/50). Suppose -5*q + 2 = -g. Calculate the remainder when 80 is divided by v(q). 26 Suppose 176 = p + 3*p. What is the remainder when p is divided by ((58/3)/(-1 + 44/33))/2? 15 Suppose -a = -3*f + 337, 0*f - 3*f + 347 = 4*a. Let c(j) = -69*j - 2239. What is the remainder when f is divided by c(-33)? 37 Suppose -69251 = 20*d - 72*d - 5187. What is the remainder when d is divided by 1228? 4 Calculate the remainder when 11086 is divided by 905752/16168 + 1/(-47). 54 Let f(u) = 3 - 11*u + 52*u**2 - 23*u**2 - 1 + 6 - 2. Calculate the remainder when f(1) is divided by 16. 8 Suppose 10*i - 92 = 118. Let o(w) = -5*w + 82. Calculate the remainder when i is divided by o(15). 0 Suppose -186*x - 18400 = -232*x. Calculate the remainder when x is divided by 338. 62 Suppose 11*q = 3*l - 7825, -16*q - 2627 = -l - 15*q. Calculate the remainder when l is divided by 132. 126 Suppose -2*f + 89 - 263 = -3*a, -65 = -a + 3*f. Calculate the remainder when 11758 is divided by a. 54 Suppose 8*v + 512 = 9*v - 3*h, 0 = 4*v - 2*h - 2078. Let j = -203 + v. Calculate the remainder when j is divided by 40. 38 Let q = 2096 + -760. Calculate the remainder when q is divided by 123. 106 Let c = 161 + -68. Suppose -91*j = -c*j + 58. Let y(v) = -v**3 + 3*v**2 + 3*v + 2. What is the remainder when j is divided by y(3)? 7 What is the remainder when 960 is divided by (-765)/(-306) + 210/4? 25 Suppose 5*d = 5*y + 25 + 15, -4*y = d - 43. Suppose 10 = 4*j + 2*m, 2*j + 2*m + 3*m = -7. What is the remainder when d is divided by j? 3 Let c = -25446 + 25449. Let t = -7 - -10. Let r = t - -6. Calculate the remainder when r is divided by c. 0 Let r be -2*(-2)/(12/9). Suppose -r*u + 1 + 2 = -3*w, 4*w = -5*u + 32. Let x = w + 13. Calculate the remainder when 63 is divided by x. 15 Suppose -4*l = -8, -3*g + l + 17 + 182 = 0. Suppose 79*b = g*b + 504. What is the remainder when 54 is divided by b? 12 Let n = 19529 - 19493. What is the remainder when 2266 is divided by n? 34 Let b(f) = -68*f + 163. Let i be 1/(-3) - 200/(-6). Let t = i - 18. What is the remainder when b(2) is divided by t? 12 Let c = -3864 + 3884. Calculate the remainder when 295 is divided by c. 15 Suppose -17 = -4*u - 73. Let j be ((-8)/u)/((-4)/(-42)). Suppose -j*c + 491 = 59. What is the remainder when c is divided by 25? 22 Let q(t) = -t**2 - 7*t - 5. Let z be q(-4). Let m = -460 - -517. Suppose c = -z + m. What is the
{ "pile_set_name": "DM Mathematics" }
= -13*s**4 - 31*s**3 - 11*s**2 + 32*s + 18. Let t(m) = -5*f(m) + 3*g(m). Factor t(d). -(d - 1)*(d + 2)**2*(4*d + 1) Let g = 1365/2 + -681. Find b, given that g*b - 1 - 1/2*b**2 = 0. 1, 2 Let l be 1*-3*(-21)/9. Suppose -5 = 3*t - 14. Factor -4*v**3 - 6 + 0*v**3 + l*v**t - 9*v. 3*(v - 2)*(v + 1)**2 Let u be (2 - 3)/((-50 + 52)*1/(-2)). Factor -u - 4/3*s + 1/3*s**4 + 4/3*s**3 + 2/3*s**2. (s - 1)*(s + 1)**2*(s + 3)/3 Factor 36/5 + 22/5*g + 2/5*g**2. 2*(g + 2)*(g + 9)/5 Suppose 3*v - 4*c - 29 = 0, v - 3*v + 10 = 2*c. Let -20*d - 10*d**2 + v*d**2 - 2*d**2 = 0. Calculate d. -4, 0 Let c(m) be the second derivative of 0 + 5/12*m**4 - 3/20*m**5 + 16/9*m**3 + 2*m**2 - 12*m. Let c(v) = 0. What is v? -2/3, 3 Let w(i) = 12110 - 12120 - 3*i**2 + i**3 - 25*i - 8*i**2. Let s be w(13). Factor 1 + 1/3*g**s + 5/3*g**2 + 7/3*g. (g + 1)**2*(g + 3)/3 Suppose 6*t = 53 - 23. Suppose 0*y = t*y. Let y*l + l**3 + l - l = 0. Calculate l. 0 Let a(p) = p**3 + p**2 + p - 1. Let u(x) = 8*x**3 - 12*x**2 - 8*x + 4. Suppose -1 = 13*n - 12*n. Let o(s) = n*u(s) - 4*a(s). Factor o(z). -4*z*(z - 1)*(3*z + 1) Find t, given that 6/13*t - 6/13*t**2 - 4/13*t**3 + 4/13 = 0. -2, -1/2, 1 Let z be 80/360 - (-50)/18. Solve 2/3*l**2 + 1/3*l**5 - 1/3*l - 2/3*l**4 + 0*l**z + 0 = 0. -1, 0, 1 Let v(u) be the third derivative of 0 + 1/110*u**5 + u + 2*u**2 + 0*u**3 - 5/22*u**4. Suppose v(d) = 0. What is d? 0, 10 Factor -1/2*y**2 + 8*y + 8 - 1/2*y**3. -(y - 4)*(y + 1)*(y + 4)/2 Suppose -5*h + 57 = -5*j + 147, -h - 2*j - 9 = 0. Let v be -5 - 19*h/55. Factor -4/11*b + v*b**2 - 6/11. 2*(b - 3)*(b + 1)/11 Let y be (-6)/1 - (477/45 - 9 - 8). Factor -y*s**2 - 10 - 4*s. -2*(s + 5)**2/5 Let z(x) be the second derivative of -1/12*x**4 + 2/3*x**3 + 0 - 20*x + 0*x**2. Let z(a) = 0. What is a? 0, 4 Let p(d) be the third derivative of d**5/210 + d**4/6 + 13*d**3/21 - 132*d**2. Let p(q) = 0. What is q? -13, -1 Let r(i) be the second derivative of i**4/12 - i**3/2 + 2*i**2 - 3*i. Suppose 41*n - 16 = 37*n. Let h(x) = 1. Let d(f) = n*h(f) - 2*r(f). What is b in d(b) = 0? 1, 2 Factor 18/11*f**4 - 40/11*f**3 + 8/11*f**2 + 0 + 0*f. 2*f**2*(f - 2)*(9*f - 2)/11 Let c be 22/(-3 - -5) - 3. Factor -23*a**3 - a**2 + 29*a**2 - c*a**2 + 0*a**2 - 4*a + 7*a**4. a*(a - 2)*(a - 1)*(7*a - 2) Let v(p) = 3*p**5 + p**3 - 3*p + 2*p**5 - 6*p**5 + 2*p**3. Let g(s) = -s**5 + s**3 + s. Let w(a) = -g(a) - v(a). Find b, given that w(b) = 0. -1, 0, 1 Let h(l) = 9*l**2 + 6*l - 1. Let v(o) = 4*o**2 + 3*o - 1. Let q(t) = -3*h(t) + 7*v(t). Let n(u) = 3*u**2 + 5*u - 8. Let r(g) = 4*n(g) - 9*q(g). Factor r(f). (f - 1)*(3*f - 4) Let l = 14 - 6. Suppose 0 = -5*b + l + 2. Factor -3*q**b + 0*q - 3*q + 1 - 1. -3*q*(q + 1) Let c be 0 + 3818/(-26) + (-31)/31. Let p = c - -148. Factor 2/13*r**4 + 2/13*r - p*r**3 + 0 - 2/13*r**2. 2*r*(r - 1)**2*(r + 1)/13 Let d(u) = -12*u**3 - 300*u**2 + 5756*u - 5508. Let z(s) = s**3 + s + 2. Let w(n) = -d(n) - 16*z(n). Factor w(y). -4*(y - 37)**2*(y - 1) Let d(h) = -h + 1. Let p(m) = -m**2 + 2*m - 1. Let a(q) = -3*d(q) - 2*p(q). Let y be a(-1). Find k such that y*k + 12*k + 3*k - 16 - 12*k**2 + 2*k**3 + 7*k = 0. 2 Let a(q) be the third derivative of -q**7/490 - 3*q**6/140 - 13*q**5/140 - 3*q**4/14 - 2*q**3/7 - 2*q**2 + 14*q. Let a(z) = 0. What is z? -2, -1 Let z(a) be the first derivative of -2*a**5/5 + 5*a**4/2 + 14*a**3/3 - 5*a**2 - 12*a - 11. Solve z(b) = 0 for b. -1, 1, 6 Let y(i) be the second derivative of 7*i**5/240 + i**4/16 - i**3/24 + 15*i**2/2 - 6*i. Let j(p) be the first derivative of y(p). Suppose j(m) = 0. What is m? -1, 1/7 Let k be (9 - 3) + (-3 + -21)/8. Determine q so that -2/7*q - 6/7*q**k + 8/7*q**2 + 0 = 0. 0, 1/3, 1 Suppose -25*t - 24 - 1/4*t**3 - 7*t**2 = 0. What is t? -24, -2 Let n(x) = -x - 9. Let t be n(-11). Let o be ((-2)/(-4))/(t/48). What is l in 0*l - o*l**3 + 12*l**3 + 2*l**2 - l**5 + l - 2*l**4 = 0? -1, 0, 1 Let j(f) = 13*f**2 - 9*f**3 - 2*f**2 + 4 + 8*f**3 - 1. Let t(o) = 4*o**3 - 56*o**2 - 16. Let v(z) = 16*j(z) + 3*t(z). Solve v(c) = 0 for c. 0, 2 Let k(a) be the first derivative of -a**8/336 - a**7/84 - a**6/72 + 8*a**3/3 + 2. Let d(c) be the third derivative of k(c). Find m, given that d(m) = 0. -1, 0 Let b(h) = -4*h**3 - 3*h**2 + 12*h - 15. Let x(m) = 3*m**3 + 4*m**2 - 11*m + 12. Let c(d) = -4*b(d) - 5*x(d). Suppose c(p) = 0. Calculate p. 0, 1, 7 Let d(w) = w**2 + 4*w - 4. Let b be d(-5). Let h be b/(-5)*10/(-1). Factor 2/9 + 2/9*m**h + 4/9*m. 2*(m + 1)**2/9 Let p = -185 + 185. Let i(o) be the first derivative of 0*o + p*o**2 - 6 + 1/2*o**4 - 2/3*o**3. Factor i(z). 2*z**2*(z - 1) Let t(y) be the third derivative of -8*y**7/105 + 11*y**6/5 + 9*y**5/4 + 17*y**4/24 + 78*y**2. Solve t(w) = 0 for w. -1/4, 0, 17 Let h(y) = 2*y**2 + 4 + 3*y**2 + 15*y + 2*y**3 + 0*y**3 - 11*y. Let s be h(-2). What is a in -2/5*a**5 - 2/5*a**2 + 2/5*a**3 + 2/5*a**4 + s + 0*a = 0? -1, 0, 1 Let z(n) be the first derivative of -818*n**5/55 + 1225*n**4/22 - 74*n**3 + 403*n**2/11 + 4*n/11 - 397. Suppose z(k) = 0. Calculate k. -2/409, 1 Let l(z) = -6*z. Let r(q) be the first derivative of -q**4/4 - q**3/3 + 3*q**2 + 7. Let g(i) = 2*l(i) + 3*r(i). Find v such that g(v) = 0. -2, 0, 1 Let l(i) = i**3 + 3*i**2 + 4*i. Let a be l(-3). Let z = a + 14. Suppose -12*j**4 - 3*j + 5*j**3 + 0*j**3 + 3*j**z + 9*j**2 - 2*j**3 = 0. What is j? -1, 0, 1/4, 1 Factor 89 - 16 - 1 - 219*g + 9*g**2. 3*(g - 24)*(3*g - 1) Let q be 2/8 - (7 + 195/(-20)). Factor 1/2*h**q + 0 + 0*h**2 + 0*h. h**3/2 Let 2/7*k**3 + 228/7*k**2 + 8664/7*k + 109744/7 = 0. What is k? -38 Let p(n) = 3 - n**3 - 15*n - 2*n**3 + 7*n**2 + 4*n. Let h(x) = -x**2 - x. Let t(a) = -2*h(a) + p(a). Factor t(q). -3*(q - 1)**3 Factor 0 - 6*h**3 - 3/2*h**4 - 15/2*h**2 - 3*h. -3*h*(h + 1)**2*(h + 2)/2 Let j(z) = -2*z**5 + 5*z**4 - 21*z**3 + 3*z**2 - 5. Let x(y) = y - 3*y**5 + 8*y**4 - 31*y**3 - 7 + 5*y**2 - y. Let b(k) = 7*j(k) - 5*x(k). Factor b(o). o**2*(o - 2)**2*(o - 1) Let h(k) = -k**3 + 4*k**2 + 10*k + 15. Let x be h(6). Let p be (-4)/x*(-1 + 1 - 1). Determine w so that -p*w + 2 + 2/9*w**2 = 0. 3 Let m(w) be the first derivative of -3*w**5/25 - 3*w**4/20 + 2*w**3/5 - 42. Determine p so that m(p) = 0. -2, 0, 1 Let r(a) be the third derivative of a**6/540 - a**5/54 + a**4/36 + a**3/3 + 24*a**2 + 4*a. Factor r(f). 2*(f - 3)**2*(f + 1)/9 Suppose -3*l = 4*l - 21. Determine n, given that 12*n**3 + 8 + 3*n**2 + 2*n**l + 3*n**5 + 7*n**3 - 24*n - 15*n**4 + 4 = 0. -1, 1, 2 Let t(r) be the second derivative of -r**6/30 - 11*r**5/35 - 5*r**4/84 + 22*r**3/21 + 6*r**2/7 - 87*r. Find b, given that t(b) = 0. -6, -1, -2/7, 1 Let r(b) be the second derivative of 0 + 14*b - 1/2*b**4 + 0*b**2 - 1/2*b**3 - 3/20*b**5. Factor r(v). -3*v*(v + 1)**2 Let n(q) be the second derivative of q**4/3 + 212*q**3 + 50562*q**2 - 41*q. Solve n(v) = 0 for v. -159 Let c(u) be the second derivative of u**7/2520 + u**6/270 + u**5/90 + 2*u**3/3 + 8*u. Let n(m) be the second derivative of c(m). Factor n(h). h*(h + 2)**2/3 Let 21/4*l - 9/2*l**2 + 19/2 - 1/4*l**3 = 0. What is l? -19, -1, 2 Suppose -5*n - 20 = j - n, 4*n + 20 = 0. Let v = 5 - 1. Factor j + 0*s + 4/5*s**3 - 2/5*s**2 - 2/5*s**v. -2*s**2*(s - 1)**2/5 Let v(w) = -w**2 - 8*w - 4. Let n be v(-6). Let r(s) = 2*s - 10. Let g be r(n). Let 4*c**3 + 2*c**4 + 0 - g + 1 + 3 - 4*c = 0. Calculate c. -1, 1 Let n = 2/394287 + 61902485/113160369. Let x = n - -1/41. Factor 0 + 0*j + 4/7*j**3 - x*j**5 - 4/7*j**4 + 4/7*j**2. -4*j**2*(j - 1)*(j + 1)**2/7 Let a(v) be the first derivative of v**3/3 - v**2/2 - 2*v - 142. Determine f so that a(f) = 0. -1, 2 Let q(z) be the second derivative of -z**5/70 + z**3/21 + 64*z - 1. Solve q(w) = 0 for w. -1, 0, 1 Let a be (-142)/60 + 2 - 32/(-80). Let m(k) be the second derivative of 0*k**3 + 0*k**2 + 0*k**4 + 1/40*k**5 + 1/84*k**7 - 3*k + a*k**6 + 0. Factor m(j). j**3*(j + 1)**2/2 What is c in 1/5*c**2 + 15*c + 74/5 = 0? -74, -1 Suppose 10*z = 2337 - 587. Determine l so that l**4 + 8*l**2 + 4*l - z*l**3 + 170*l**3 - 8*l = 0. 0, 1, 2 Let n(k) be the second derivative of 2*k**6/15 - k**5/5 - 2*k**4/3 + 27*k - 1. Determine f, given that n(f) = 0. -1, 0, 2 Suppose 27/2*i**2 + 15*i + 21/4*i**3 + 3/4*i**4 + 6 = 0. What is i? -2, -1 Let o = -7561 - -15513/2. Let n = o - 195. Solve -9/4*p - n + 15/4*p**3 - p**2 = 0 for p. -2/5, -1/3, 1 L
{ "pile_set_name": "DM Mathematics" }
+ 3*t + 6. Calculate the remainder when ((3*m)/i)/(-1) is divided by 7. 5 Let a = 132 + -408. Let l = a + 175. Let y = -68 - l. Calculate the remainder when y is divided by 9. 6 Let i be 1/(-1)*(-3 - 0). Suppose i*n = 4*g - 69, -7*n = -2*n + 15. Suppose x + 172 = 5*x. Calculate the remainder when x is divided by g. 13 Let u = 52 - 17. Suppose 5*f - n = n + u, 5*f + 3*n = 60. Calculate the remainder when (-3)/((-6)/52) - 1 is divided by f. 7 Let n(x) = 3*x - 12. Let t(p) = -4*p + 13. Let w(z) = -6*n(z) - 5*t(z). What is the remainder when 27 is divided by w(4)? 12 Let y(x) = 3*x - 2. Let i be y(4). Suppose 0 = 5*r + i - 75. What is the remainder when 38 is divided by r? 12 Suppose -4*u - 3*m = -0*u - 8, -5*u + m + 10 = 0. Suppose -u*q = -55 - 15. Suppose -r = 2*r - 36. What is the remainder when q is divided by r? 11 Suppose 0 = 9*z - 4*z. Suppose z = 4*s - 0 - 4. Calculate the remainder when s is divided by 1. 0 Let o = 75 + -53. Calculate the remainder when o is divided by (-4)/(-6) + (-44)/(-6). 6 Let n(h) = 2*h**2 - 4*h + 20. Let g(r) = r + 1. Let d(l) = -l**2 - 10*l + 9. Let o(t) = d(t) + 2*g(t). What is the remainder when n(0) is divided by o(-8)? 9 Suppose 146 = 10*h - 384. What is the remainder when h is divided by 11? 9 Let j be (-14)/6*(0 - 3). Suppose 4*c = 21 + j. Let y(t) = t**2 - 6*t + 6. Calculate the remainder when y(c) is divided by 7. 6 Suppose 0 = -0*j - 4*j + 340. What is the remainder when j is divided by 44? 41 Suppose -j = 1, 0*r + 2*j + 8 = r. Suppose -4*x - 58 = 5*i - 191, 0 = -2*i - r. Let h(m) = 13*m**2. Calculate the remainder when x is divided by h(-1). 11 Suppose 3*b - 14 = 31. Let y(p) = 28*p + 1. Suppose 4*f - 3 = 1. Calculate the remainder when y(f) is divided by b. 14 Suppose -31 = 5*o + 29. Let y = 8 + o. Calculate the remainder when 11 is divided by -1*(y - (2 - -1)). 4 Let n = 10 + -23. Let h = 10 + n. What is the remainder when 1 is divided by h/(-12) - 6/(-8)? 0 Suppose 72*w - 76*w = -68. Let s = -44 - -71. Let q = 6 + s. Calculate the remainder when q is divided by w. 16 Let j(k) = -k**3 + 11*k**2 - 10*k + 7. What is the remainder when j(8) is divided by 40? 39 What is the remainder when 93 is divided by 10/(-35) + 58/7? 5 Let z = 20 - 16. What is the remainder when 28 is divided by 30/z*20/15? 8 Let t(k) = k**2 + 3. Calculate the remainder when 7 is divided by t(0). 1 Let i = 1 - 3. Let n = 0 - i. Let y = 8 - 3. Calculate the remainder when y is divided by n. 1 Let y(x) = -x**3 + 4*x**2 + 4*x - 3. Let v(o) = o**3 - 2*o**2 + 10*o - 2. Calculate the remainder when v(3) is divided by y(4). 11 Let f be (-51)/(-15) - 2/5. Suppose f*m + 6 = -3*x + 18, 4*x = 4*m - 40. Let o = 2 + 1. Calculate the remainder when m is divided by o. 1 Suppose 2*r = 6, -4*n = 2*r - 9 - 5. Suppose 4*q - v = 11, 3*q - v - 14 = -n*q. What is the remainder when (4/q)/((-2)/(-15)) is divided by 4? 2 Suppose 2 = 2*d + 2*r, 2*d - 4*r - 11 = d. Suppose -5*g + d*l = -78, g + l - 29 = -g. Calculate the remainder when g is divided by 8. 7 Suppose -13*h + 16*h - 45 = 0. Calculate the remainder when 29 is divided by h. 14 Suppose 4*p = s + 126, -4*p + 2*p = -5*s - 72. Calculate the remainder when p is divided by 21. 10 Calculate the remainder when 4/(4/49) - 0/(-1) is divided by 17. 15 Calculate the remainder when 111 is divided by (-24)/(-2 + (-2)/(-4)). 15 Let r(g) be the first derivative of -g**4/4 - g**3 + 4*g**2 + 3*g - 2. Calculate the remainder when r(-5) is divided by 8. 5 Let t = 3 - 13. Suppose -2*v - v - 69 = 0. Let m = t - v. Calculate the remainder when 24 is divided by m. 11 Suppose g = 8 + 2. Suppose 4*j - 42 = -g. Calculate the remainder when (1 - -6)/(2/4) is divided by j. 6 Let f(o) = 4*o + 11. Let h be f(5). Let t = h - 14. What is the remainder when 32 is divided by t? 15 Let g(w) = 3*w + 5. Let v(i) = -10*i - 1. Calculate the remainder when g(4) is divided by v(-1). 8 Let r(b) = 44*b - 5. Calculate the remainder when r(1) is divided by 14. 11 Let h = 177 + -157. What is the remainder when 37 is divided by h? 17 Let r(m) = -m**3 - 9*m**2 - 6*m + 11. Let y be r(-8). Let l = 12 - y. Calculate the remainder when l is divided by 6. 5 Let x be ((-9)/12)/(1/(-4)). Suppose 3*k - 3*m = -m + 33, -m = -x*k + 36. Let t = -4 + k. Calculate the remainder when 26 is divided by t. 8 Let b be (-5)/(-20) + 14/8. Suppose 0*f + b*f = 6. Calculate the remainder when 8 is divided by f. 2 What is the remainder when 118 is divided by (0 - (-7 - -5))*(-34)/(-4)? 16 Suppose 9*b - 302 = 355. Suppose 0 = o - z - 3 - 11, -o - 1 = -4*z. What is the remainder when b is divided by o? 16 Let m be -30*(0 - (-2)/(-4)). Suppose p = -4*p - 3*d + 40, -m = -p - 2*d. What is the remainder when 7 is divided by p? 2 Let p(d) = 42*d**2 - 1. Let w be p(1). Let m = w - 14. Let k = -12 + m. What is the remainder when 44 is divided by k? 14 Let x = 6 - -6. What is the remainder when 20 is divided by x? 8 Suppose 8 = -3*w - 49. Let j = 40 + w. What is the remainder when j is divided by 0 + 2 + 12 + -3? 10 Suppose -53 = -3*q - 3*m - 2, -5*q = 2*m - 88. Suppose 2*j + 4 = -0*j. What is the remainder when 66 is divided by (q - -1) + (j - 0)? 15 Let z = -7 + 12. Suppose 3*a + 13 = f, z*a = 3*a. What is the remainder when f is divided by 5? 3 Let y be 3/18 + (-100)/24. Calculate the remainder when 39 is divided by 384/27 + y/18. 11 Let h(z) = -26*z + 1. Suppose -14*b = -85 - 111. What is the remainder when h(-2) is divided by b? 11 Suppose 5*h = -2*m + 31, 0*m - 4*h = 5*m - 69. Calculate the remainder when 61 is divided by m. 9 What is the remainder when 16 is divided by -3*1*(-110)/33? 6 Let j(k) = 8*k. Let x be j(-1). Calculate the remainder when 34 is divided by 6*-4*6/x. 16 What is the remainder when 23 is divided by (-1)/(-4) - 62/(-8)? 7 Suppose -3*v = 9 - 39. Calculate the remainder when 27 is divided by v. 7 What is the remainder when 38 is divided by -1 - -3 - (-8)/1? 8 Let k = -37 - -108. Calculate the remainder when k is divided by 37. 34 Let x = 17 - 14. Suppose 19 - 40 = -x*c. What is the remainder when 25 is divided by c? 4 Let x = -14 + 20. What is the remainder when 63 is divided by 194/12 - 1/x? 15 Let b = 6 - 9. Let p(y) = -2*y**3 - 3*y**2 + 3*y. What is the remainder when 88 is divided by p(b)? 16 Suppose 2*w = -2*w + 40. Let k(x) = -x + 1. Let t be k(-11). Let c = t + 5. Calculate the remainder when c is divided by w. 7 Suppose -5*m = -3*w + 26, -m + 22 = 5*w - 4*m. Calculate the remainder when 7 is divided by w. 1 Suppose -14*n = -16*n + 16. What is the remainder when 39 is divided by n? 7 Let k = -3 - -4. Let d = k + -1. Suppose 5*x - 68 - 32 = d. Calculate the remainder when x is divided by 7. 6 Let i = 8 + -6. Suppose 0 = i*o - y - 19, 4*o = o + y + 30. What is the remainder when 42 is divided by o? 9 Calculate the remainder when (-1 - 19)*2/(-4) is divided by 4. 2 Let u = -11 - -15. Let f = 56 - 54. What is the remainder when u is divided by f? 0 Let i(c) = 4*c**2 + 4*c + 1. Let t be 3*(-2)/2*1. What is the remainder when i(t) is divided by (45/(-20))/(4/(-16))? 7 Let z = -14 - -45. Let u(n) = -n + 4. What is the remainder when z is divided by u(-7)? 9 Let l(a) = a**2 + a + 3. Let c be l(0). Suppose -2*k + 21 = q, -c*q + 8*k - 3*k + 74 = 0. What is the remainder when 45 is divided by q? 22 Suppose -5*f - 2*r = -75 - 12, 53 = 3*f + 2*r. Calculate the remainder when 30 is divided by f. 13 Suppose 2*f + 3 = 5*n, 3*f + 9*n - 4*n - 33 = 0. Let w(d) = d + 7. Calculate the remainder when 50 is divided by w(f). 11 Calculate the remainder when 40 + -3 + (-2)/2 is divided by 13. 10 Suppose 0*d - 4*x = 2*d - 48, 0 = -4*d + x + 69. Calculate the remainder when 29 is divided by d. 11 Suppose 4*y + 0*y = 44. Let t be 10/(-45) - y/(-9). Calculate the remainder when 46 is divided by (128/(-24))/(t/(-3)). 14 Suppose -5*r - 2*y + 133 = -2*r, 5*r = -2*y + 215. Calculate the remainder when r is divided by 14. 13 Let m(k) = k - 3. Let y be m(4). Let n(a) = 2*a + 1. What is the remainder when 2/2 + -4 + 9 + 1 is divided by n(y)? 1 Let j(f) = f**3 + f**2 - f. Let l(r) = -3*r**3 - 10*r**2 + 4*r - 4. Let b(c) = -4*j(c) - l(c). What is the remainder when 5 is divided by b(6)? 1 Suppose -4*n + 12 = -20. Let x = -59 + 89. What is the remainder when x is divided by n? 6 Let
{ "pile_set_name": "DM Mathematics" }
erivative of -161*v**6/40 - v**5/20 + v**4/12 - 745*v**3/6 - 2999*v**2. Find the second derivative of m(d) wrt d. -2898*d - 6 What is the first derivative of 235*f + 1436*f - 3057 + 728*f - 474*f wrt f? 1925 Let b(v) = 330*v**3 - 238*v**2 - 3*v - 6. Let n(p) = p**3 + 9*p**2 - p - 2. Let s(o) = 4*b(o) - 12*n(o). What is the third derivative of s(u) wrt u? 7848 Suppose 10 = p + 2. Let v be (5/(-10))/((-5)/20). Differentiate 0*r**2 + 12 + 7*r**v - p*r**2 wrt r. -2*r Let a(k) be the third derivative of -353*k**6/40 + 943*k**5/15 - 187*k**2. What is the third derivative of a(f) wrt f? -6354 Let t = 815 - 801. What is the third derivative of -9*d**4 - 5*d**4 + t*d**4 - 334*d**2 + 364*d**2 + 71*d**5 wrt d? 4260*d**2 What is the third derivative of -68*z**3 + 38*z**2 + z**2 + 10 + 0 - 103*z**3 - 183*z**3 wrt z? -2124 Let l(b) = -b**2 + 7. Let v(f) = 3*f**4 - 3*f**2 - 61*f - 888. Let c(h) = 3*l(h) - v(h). What is the derivative of c(x) wrt x? -12*x**3 + 61 Let n(s) = 7*s - 151. Let r be n(22). What is the third derivative of 18*z**4 - 6*z**r + 114*z**2 + 71*z**3 - 20*z**4 wrt z? -48*z + 390 What is the second derivative of 188*z - 839*z - 1781*z**3 - 413*z**3 wrt z? -13164*z Let d be 42 - 36 - 42/10. Let h(s) be the first derivative of 0*s**2 + 0*s + 1/3*s**3 - 3 + 0*s**4 + d*s**5. What is the third derivative of h(w) wrt w? 216*w Suppose 0 = 12*r - 7*r - 40. Suppose 2*k + r = 2*c - 0, -5*c + 3*k = -18. Find the first derivative of 17*s**3 - 19 - 9*s**c - 5*s**3 + 22*s**3 wrt s. 75*s**2 Differentiate 5*v + v**4 - 294*v - 198 - 694 wrt v. 4*v**3 - 289 Let w(t) be the second derivative of 944*t**6/15 + 383*t**3/3 - 1426*t. Find the second derivative of w(n) wrt n. 22656*n**2 Let b(v) be the third derivative of 59*v**5/12 + 83*v**4/24 + v**3/3 - 832*v**2. What is the second derivative of b(z) wrt z? 590 Let m be 1780/1602*(-18)/(-4). Let p(t) be the second derivative of -7/2*t**3 - 20*t + 0*t**2 + 2/5*t**m + 0 + 0*t**4. Find the second derivative of p(x) wrt x. 48*x Let y(n) = 2*n**3 - n**2. Let x(i) = 4*i**3 - 2*i**2 + 182*i - 4190. Let b(h) = -x(h) + y(h). Differentiate b(o) with respect to o. -6*o**2 + 2*o - 182 Let g = 46 - 43. What is the derivative of 3*z**g - 7*z**3 - z**2 + 12*z**3 - 69 + 26*z**3 wrt z? 102*z**2 - 2*z Let i(t) be the second derivative of 0*t**3 - 1/20*t**5 + 4 + 2*t + 17/2*t**2 + 0*t**4 + 53/30*t**6. What is the derivative of i(j) wrt j? 212*j**3 - 3*j**2 Let v(z) be the third derivative of -937*z**8/336 - 25*z**4/2 + 376*z**2 + z + 2. What is the second derivative of v(w) wrt w? -18740*w**3 Suppose 56 = -18*w + 32*w. What is the second derivative of -7*s - 34*s**4 + 5*s + 7 + 0*s**w - 35 - 8*s**4 wrt s? -504*s**2 Let x(n) be the second derivative of -90*n + 0*n**3 + 1/6*n**6 + 0*n**4 + 0*n**5 + 0 + 201/2*n**2. Differentiate x(u) with respect to u. 20*u**3 Differentiate 3603*v**3 - 3788 + 1261 - 1107*v**3 wrt v. 7488*v**2 Let k(q) be the third derivative of 83*q**8/168 + q**6/30 + 1583*q**4/24 - 11*q**2 + 33. What is the second derivative of k(j) wrt j? 3320*j**3 + 24*j Suppose t + 84 = n - 52, n - 5*t - 120 = 0. What is the third derivative of -n*j**2 + 631*j**3 - 280*j**3 - 326*j**3 wrt j? 150 Let t(f) be the first derivative of 8756*f**3/3 + 4243*f - 8313. Differentiate t(x) with respect to x. 17512*x Let d(s) = -50*s - 170. Let p(r) = r - 4. Let l = -51 - -50. Let m(h) = l*d(h) + 25*p(h). Find the first derivative of m(f) wrt f. 75 Let l = -242 + 299. Find the first derivative of 38*h - 25*h + l*h - 10 wrt h. 70 Suppose 7 = p + 5*y, 3*p = -2*p + 2*y + 8. Find the third derivative of 23*x**5 - 18*x**5 + x**6 - 31*x**2 + 6*x**6 - 4*x**p - 135*x**2 wrt x. 840*x**3 + 300*x**2 Let c(x) = x. Let y(o) be the second derivative of -21*o**3/2 - 59*o**2/2 + 73*o. Let a(m) = 2*c(m) + y(m). What is the first derivative of a(q) wrt q? -61 Let i(y) = -21*y**2 - 2*y + 2. Let w be i(-2). Let a = -72 - w. What is the third derivative of 12*b**2 + a*b**5 + 4*b**2 + 13*b**5 - 5*b**2 wrt b? 1140*b**2 What is the second derivative of 28630*y + 5*y**4 - y**2 - 57815*y - 64*y**3 + 28815*y + 1 wrt y? 60*y**2 - 384*y - 2 What is the derivative of 262*u - 5526 - 208*u - 97*u - 646*u wrt u? -689 Let k(c) = -6316*c + 5354. Let i(s) = 6386*s - 5352. Let r(p) = -4*i(p) - 5*k(p). What is the first derivative of r(h) wrt h? 6036 Let v be (-392)/(-70)*(-15)/(-2). Find the third derivative of -39*z**2 - 15*z**3 - 47*z**2 - v*z**2 + 132*z**2 wrt z. -90 Let y(g) be the third derivative of 497*g**6/60 - 13*g**5/60 - 9*g**4/4 - g**3/6 + 5841*g**2. What is the third derivative of y(v) wrt v? 5964 What is the derivative of 1842 - 4*c**3 + 19*c - 31*c - 42*c**3 + 14*c - 52*c**3 wrt c? -294*c**2 + 2 Let b(z) = -450*z**3 + 22*z**2 - 266*z - 8. Let c(f) = 64*f**3 - 3*f**2 + 38*f + 1. Let i(w) = -3*b(w) - 22*c(w). Find the second derivative of i(t) wrt t. -348*t Suppose 0 = 4*c - 5*d - 262 - 118, -5*d + 520 = 5*c. Find the third derivative of -2*a - 15*a**6 - c*a**3 + 6*a**2 + 3*a**2 + 96*a**3 wrt a. -1800*a**3 - 24 Let b(t) = -t**2 - 10*t + 3. Let r be b(-10). What is the third derivative of -55*k**3 + 34*k**r + 28*k**3 + 34 - 4 - 2*k**2 wrt k? 42 Let w be (-1405)/(-190) - (-6)/57. Let y(z) be the second derivative of -w*z**2 + 0 + 0*z**3 - z**4 + z. Differentiate y(r) with respect to r. -24*r Let n be (-1 + 28 - -1) + (-176 - -180). Differentiate n - 116 + 350 + 4*s with respect to s. 4 Let h(n) = -n**3 - 16*n**2 + 9*n - 11. Let t be h(-19). What is the first derivative of -62*z**3 + 901*z - t*z - 67 wrt z? -186*z**2 Suppose -4*g = 2*t - 6, -5*t - 2*g + 0*g = -15. Find the first derivative of -23*n + 441*n**3 - 444*n**t - 302 - 2*n**2 + 2*n**2 - 12*n wrt n. -9*n**2 - 35 Find the first derivative of -861*p + 106780 - 53741 - 53516 wrt p. -861 What is the second derivative of 10 + 2025*a**2 - 16*a + 3722*a**2 - 349*a**2 - 9 wrt a? 10796 Let u(g) = 9*g**3 + 18*g**2 - 73*g - 2311. Let w(s) = -9*s**3 - 21*s**2 + 77*s + 2309. Let o(k) = 7*u(k) + 6*w(k). What is the first derivative of o(i) wrt i? 27*i**2 - 49 Let p be (10/40*-3)/(9/(-6)). Let u(g) be the second derivative of 0 + 20*g - 11*g**2 + p*g**3. What is the derivative of u(f) wrt f? 3 Let a(g) = -3*g - 6. Let b(x) = -x**3 + 12*x**2 + 14*x - 16. Let o be b(13). Let z be a(o). What is the second derivative of 3*j + 5*j - 14*j - 14*j**z wrt j? -84*j Let j(f) = -2*f**2 - 13*f - 16. Let b be j(-4). What is the third derivative of -8 - 502*u**2 + 490*u**2 - 85*u**4 + b wrt u? -2040*u Let g(i) be the second derivative of -83*i**3/6 + 493*i**2 + i - 6. Find the first derivative of g(f) wrt f. -83 Let j(o) = 11*o - 64. Let d be j(6). What is the third derivative of 21*r**2 + 470*r - 38*r**3 - 23*r**d - 539*r wrt r? -228 Find the second derivative of -13967 - 3*h**5 - 5*h**2 + 13956 + 24*h - 7*h**2 wrt h. -60*h**3 - 24 Suppose 0 = 4*w - 121 - 63. What is the second derivative of -w*v**4 - 76*v + 62*v**4 - 28*v**4 - 44*v**4 wrt v? -672*v**2 Find the second derivative of -293*b - 592*b - 1635*b**2 - 58*b + 329*b**2 - 273*b wrt b. -2612 Let d(g) = -g**3 + g + 4. Let v(z) = 3863*z**3 + 127*z + 35. Let b(c) = 18*d(c) - 2*v(c). What is the second derivative of b(u) wrt u? -46464*u Let i(c) be the third derivative of 221*c**8/42 - 167*c**4/8 + c**3/6 + 163*c**2. What is the second derivative of i(t) wrt t? 35360*t**3 Suppose -132 = -4*l - 2*y, -152 = -4*l - 13*y + 16*y. Find the first derivative of -26 + 5*h**2 + 44 - h + l wrt h. 10*h - 1 Let t(r) be the first derivative of -73*r**4/4 - 3*r**2 - 3869*r - 2576. Find the first derivative of t(a) wrt a. -219*a**2 - 6 Let z(w) be the third derivative of -4*w**2 + 0*w - 39/20*w**5 + 20 + 0*w**4 + 31/2*w**3. Differentiate z(s) with respect to s. -234*s What is the third derivative of -17709*o**4 + 8866*o**4 - 214*o**3 + 8850*o**4 - 2*o**2 - 3117*o wrt o? 168*o - 1284 What is the first derivative of 1926*q - 472*q + 471*q + 1936*q + 81 + 1552 wrt q? 3861 Let z(h) = -7445*h**2 + 6656*h - 12. Let a(x) = -2*x**2 - 5*x - 2. Let g(k) = -6*a(k) + z(k). Find the second derivative of g(w) wrt w. -14866 Let c be (-39)/26*1/(1/(-2)). Let a(b) = 10*b - 12. Let j be a(2). What is the second derivative of c*v**5 - 39*v - v**5 - j*v**5 wrt v? -120*v**3 Let b(g) be the second derivative of -427*g**6/
{ "pile_set_name": "DM Mathematics" }
he highest common divisor of 351 and 81. 27 What is the highest common divisor of 351 and 54? 27 What is the highest common factor of 48 and 384? 48 What is the greatest common divisor of 473 and 33? 11 What is the highest common divisor of 422 and 26? 2 What is the highest common factor of 21 and 2289? 21 What is the greatest common factor of 3248 and 42? 14 What is the greatest common divisor of 1887 and 148? 37 Calculate the greatest common factor of 240 and 108. 12 What is the highest common factor of 54 and 5238? 54 What is the greatest common factor of 21 and 642? 3 What is the greatest common divisor of 9 and 909? 9 What is the highest common divisor of 306 and 34? 34 Calculate the greatest common divisor of 7 and 119. 7 Calculate the highest common factor of 95 and 133. 19 Calculate the greatest common divisor of 50 and 4. 2 What is the greatest common factor of 976 and 16? 16 What is the greatest common divisor of 384 and 12? 12 Calculate the highest common divisor of 24 and 168. 24 What is the greatest common factor of 1836 and 108? 108 What is the highest common divisor of 80 and 48? 16 What is the highest common divisor of 8 and 49696? 8 What is the highest common factor of 1132 and 16? 4 Calculate the highest common divisor of 2304 and 336. 48 Calculate the greatest common factor of 768 and 176. 16 Calculate the highest common divisor of 9 and 6561. 9 Calculate the greatest common divisor of 3311 and 2408. 301 What is the greatest common divisor of 243 and 18? 9 What is the greatest common factor of 136 and 32? 8 What is the highest common divisor of 13 and 1027? 13 Calculate the highest common factor of 21 and 189. 21 What is the highest common factor of 966 and 18? 6 Calculate the greatest common factor of 851 and 92. 23 Calculate the greatest common factor of 256 and 4. 4 What is the highest common factor of 24 and 168? 24 Calculate the highest common factor of 8 and 4. 4 Calculate the greatest common factor of 1538 and 16. 2 What is the greatest common factor of 5 and 23255? 5 Calculate the highest common factor of 45 and 180. 45 What is the highest common factor of 583 and 1219? 53 Calculate the highest common divisor of 55 and 33. 11 Calculate the greatest common divisor of 25 and 10. 5 Calculate the highest common divisor of 3330 and 40. 10 Calculate the highest common factor of 3894 and 198. 66 What is the highest common divisor of 90 and 135? 45 What is the greatest common divisor of 37 and 407? 37 Calculate the greatest common divisor of 3726 and 46. 46 What is the highest common divisor of 115 and 3335? 115 Calculate the highest common divisor of 3 and 42. 3 What is the highest common divisor of 7 and 896? 7 What is the greatest common factor of 27 and 243? 27 Calculate the highest common factor of 117 and 39. 39 Calculate the greatest common factor of 21 and 7539. 21 Calculate the highest common factor of 1932 and 56. 28 Calculate the highest common factor of 99 and 1944. 9 What is the greatest common factor of 1636 and 4? 4 What is the highest common divisor of 75 and 195? 15 Calculate the greatest common factor of 4 and 548. 4 What is the greatest common factor of 65 and 35? 5 What is the greatest common divisor of 2882 and 44? 22 What is the greatest common factor of 80 and 32? 16 What is the greatest common factor of 348 and 435? 87 What is the greatest common divisor of 299 and 92? 23 What is the greatest common divisor of 552 and 36? 12 What is the greatest common factor of 75 and 507? 3 Calculate the greatest common divisor of 5146 and 31. 31 What is the highest common factor of 552 and 345? 69 Calculate the highest common factor of 306 and 6834. 102 Calculate the highest common factor of 5 and 695. 5 Calculate the highest common factor of 176 and 55. 11 What is the greatest common divisor of 30451 and 37? 37 What is the greatest common factor of 108 and 1152? 36 What is the highest common factor of 72 and 1584? 72 Calculate the greatest common factor of 37008 and 144. 144 What is the greatest common factor of 34 and 1666? 34 Calculate the highest common factor of 486 and 180. 18 What is the greatest common divisor of 686 and 798? 14 What is the greatest common divisor of 333 and 259? 37 What is the highest common divisor of 2010 and 30? 30 Calculate the greatest common factor of 247 and 325. 13 Calculate the highest common factor of 6 and 111. 3 Calculate the greatest common factor of 24 and 904. 8 Calculate the greatest common divisor of 191 and 764. 191 What is the greatest common divisor of 10554 and 24? 6 What is the highest common divisor of 99 and 63? 9 Calculate the highest common factor of 80 and 135. 5 What is the greatest common divisor of 143 and 33? 11 Calculate the greatest common factor of 598 and 26. 26 What is the highest common divisor of 1962 and 6322? 218 Calculate the highest common factor of 2698 and 284. 142 What is the highest common factor of 52 and 247? 13 Calculate the highest common divisor of 178 and 2581. 89 What is the greatest common divisor of 30 and 40? 10 Calculate the greatest common factor of 213 and 5041. 71 What is the greatest common divisor of 2886 and 936? 78 Calculate the highest common factor of 25418 and 142. 142 Calculate the greatest common factor of 1099 and 157. 157 Calculate the greatest common divisor of 805 and 420. 35 What is the greatest common divisor of 1105 and 340? 85 What is the greatest common factor of 8942 and 34? 34 Calculate the highest common divisor of 48 and 1200. 48 Calculate the greatest common factor of 259 and 74. 37 What is the highest common factor of 14 and 342? 2 What is the highest common factor of 1022 and 14? 14 What is the greatest common factor of 135 and 360? 45 What is the highest common divisor of 205 and 123? 41 Calculate the highest common divisor of 130 and 52. 26 Calculate the highest common divisor of 252 and 588. 84 What is the highest common factor of 73 and 949? 73 Calculate the greatest common divisor of 2249 and 13. 13 What is the greatest common divisor of 70 and 112? 14 What is the greatest common divisor of 25134 and 1062? 354 Calculate the highest common factor of 22 and 18194. 22 What is the greatest common factor of 162 and 30? 6 Calculate the highest common factor of 5440 and 952. 136 Calculate the highest common divisor of 470 and 94. 94 What is the greatest common divisor of 93 and 217? 31 What is the highest common divisor of 357 and 1207? 17 Calculate the greatest common factor of 22649 and 29. 29 Calculate the highest common divisor of 1440 and 204. 12 What is the highest common divisor of 342 and 380? 38 What is the highest common factor of 1485 and 2805? 165 What is the highest common divisor of 2825 and 50? 25 What is the highest common divisor of 175 and 245? 35 Calculate the highest common factor of 28 and 352. 4 What is the greatest common factor of 52 and 130? 26 What is the greatest common factor of 216 and 288? 72 What is the greatest common factor of 130 and 15? 5 Calculate the highest common divisor of 100 and 80. 20 What is the greatest common divisor of 13 and 3549? 13 What is the highest common factor of 189 and 357? 21 What is the greatest common divisor of 7268 and 79? 79 What is the highest common factor of 2 and 1994? 2 Calculate the greatest common factor of 69 and 27071. 23 Calculate the greatest common divisor of 4908 and 24. 12 What is the greatest common factor of 80 and 3130? 10 What is the greatest common divisor of 12 and 1644? 12 Calculate the greatest common factor of 351 and 2743. 13 What is the greatest common factor of 55 and 66? 11 Calculate the highest common factor of 3160 and 40. 40 What is the highest common factor of 76 and 38? 38 Calculate the greatest common divisor of 2501 and 549. 61 Calculate the greatest common factor of 182 and 208. 26 What is the greatest common factor of 60 and 6540? 60 What is the greatest common factor of 12 and 8004? 12 What is the greatest common divisor of 8240 and 5? 5 What is the greatest common divisor of 3276 and 585? 117 What is the greatest common factor of 10807 and 303? 101 Calculate the highest common factor of 756 and 224. 28 Calculate the greatest common divisor of 936 and 216. 72 What is the greatest common factor of 3762 and
{ "pile_set_name": "DM Mathematics" }
ime factors of 9482. 2, 11, 431 What are the prime factors of 63557? 13, 4889 What are the prime factors of 814552? 2, 29, 3511 List the prime factors of 23929553. 29, 53, 15569 List the prime factors of 4244976. 2, 3, 41, 719 List the prime factors of 227004. 2, 3, 18917 List the prime factors of 10378820. 2, 5, 691, 751 What are the prime factors of 435383? 13, 107, 313 What are the prime factors of 1619523? 3, 179947 List the prime factors of 6616133. 887, 7459 What are the prime factors of 1275947? 1275947 What are the prime factors of 3554064? 2, 3, 19, 433 List the prime factors of 697006. 2, 37, 9419 List the prime factors of 2461138. 2, 23, 53503 List the prime factors of 837931. 837931 List the prime factors of 40574. 2, 20287 List the prime factors of 5232718. 2, 2616359 List the prime factors of 1148317. 59, 19463 List the prime factors of 10047703. 10047703 List the prime factors of 497563. 11, 45233 What are the prime factors of 210886? 2, 13, 8111 List the prime factors of 3890076. 2, 3, 17, 19069 What are the prime factors of 2402777? 13, 184829 What are the prime factors of 1195954? 2, 23, 25999 What are the prime factors of 4383? 3, 487 List the prime factors of 366689. 23, 107, 149 What are the prime factors of 1517742? 2, 3, 84319 List the prime factors of 437299. 23, 19013 List the prime factors of 353653. 353653 List the prime factors of 713324. 2, 151, 1181 List the prime factors of 115694. 2, 57847 What are the prime factors of 4502159? 4502159 What are the prime factors of 2409833? 2409833 List the prime factors of 786474. 2, 3, 13, 3361 What are the prime factors of 7594142? 2, 3797071 List the prime factors of 1509722. 2, 754861 List the prime factors of 1994001. 3, 664667 List the prime factors of 3945248. 2, 123289 What are the prime factors of 972313? 972313 What are the prime factors of 1825876? 2, 13, 37, 73 What are the prime factors of 17233446? 2, 3, 1667, 1723 What are the prime factors of 2933882? 2, 7, 209563 What are the prime factors of 1891271? 1013, 1867 What are the prime factors of 154146? 2, 3, 23, 1117 List the prime factors of 3573857. 7, 510551 What are the prime factors of 31826? 2, 15913 List the prime factors of 1332130. 2, 5, 133213 What are the prime factors of 8422267? 7, 29, 5927 What are the prime factors of 1174160? 2, 5, 13, 1129 What are the prime factors of 9718606? 2, 1433, 3391 What are the prime factors of 11171340? 2, 3, 5, 53, 1171 List the prime factors of 6866088. 2, 3, 73, 3919 What are the prime factors of 3142336? 2, 37, 1327 List the prime factors of 6446201. 569, 11329 What are the prime factors of 55707? 3, 31, 599 List the prime factors of 2775470. 2, 5, 277547 List the prime factors of 392636. 2, 103, 953 List the prime factors of 1015539. 3, 7, 37, 1307 What are the prime factors of 5739788? 2, 23, 89, 701 List the prime factors of 45141. 3, 41, 367 What are the prime factors of 444004? 2, 11, 10091 What are the prime factors of 352633? 352633 What are the prime factors of 9019637? 11, 43, 19069 List the prime factors of 585964. 2, 263, 557 List the prime factors of 43783. 43783 List the prime factors of 7989667. 7, 1141381 What are the prime factors of 135718? 2, 11, 31, 199 List the prime factors of 227080. 2, 5, 7, 811 What are the prime factors of 13683916? 2, 1811, 1889 List the prime factors of 690982. 2, 17, 20323 List the prime factors of 254329. 254329 List the prime factors of 7404696. 2, 3, 13, 293 List the prime factors of 4562668. 2, 11, 857 List the prime factors of 25912143. 3, 19, 113, 149 What are the prime factors of 644548? 2, 161137 List the prime factors of 214715. 5, 42943 List the prime factors of 246597. 3, 13, 6323 What are the prime factors of 11517650? 2, 5, 230353 List the prime factors of 261139. 43, 6073 List the prime factors of 36764. 2, 7, 13, 101 List the prime factors of 16189818. 2, 3, 2698303 List the prime factors of 163135. 5, 7, 59, 79 List the prime factors of 9174862. 2, 4587431 What are the prime factors of 523774? 2, 261887 List the prime factors of 195785. 5, 39157 List the prime factors of 12450374. 2, 6225187 List the prime factors of 268666. 2, 134333 List the prime factors of 157801. 7, 22543 What are the prime factors of 395935? 5, 79187 What are the prime factors of 447041? 7, 63863 What are the prime factors of 229222? 2, 7, 2339 List the prime factors of 3487036. 2, 7, 17791 What are the prime factors of 15734000? 2, 5, 7867 List the prime factors of 8616958. 2, 7, 615497 What are the prime factors of 462483? 3, 7, 2447 What are the prime factors of 4050809? 7, 578687 List the prime factors of 210470. 2, 5, 13, 1619 List the prime factors of 380830. 2, 5, 38083 What are the prime factors of 5257098? 2, 3, 7, 11, 3793 List the prime factors of 455544. 2, 3, 19, 37 What are the prime factors of 96240? 2, 3, 5, 401 What are the prime factors of 147253? 147253 What are the prime factors of 2584782? 2, 3, 17, 8447 List the prime factors of 698230. 2, 5, 13, 41, 131 List the prime factors of 2030319. 3, 29, 2593 What are the prime factors of 1332469? 73, 18253 What are the prime factors of 336165? 3, 5, 73, 307 What are the prime factors of 74772? 2, 3, 31, 67 What are the prime factors of 149506? 2, 7, 59, 181 List the prime factors of 364451. 364451 What are the prime factors of 2559769? 2559769 List the prime factors of 313947. 3, 34883 List the prime factors of 1701746. 2, 41, 20753 What are the prime factors of 5183920? 2, 5, 7, 9257 List the prime factors of 1048143. 3, 349381 List the prime factors of 13000681. 23, 565247 List the prime factors of 479673. 3, 223, 239 List the prime factors of 65674. 2, 7, 4691 List the prime factors of 16780495. 5, 71, 47269 What are the prime factors of 41242? 2, 17, 1213 List the prime factors of 4613036. 2, 797, 1447 What are the prime factors of 169912? 2, 67, 317 List the prime factors of 540404. 2, 135101 What are the prime factors of 11709? 3, 1301 What are the prime factors of 276683? 11, 25153 List the prime factors of 14158226. 2, 307, 23059 What are the prime factors of 15123067? 521, 29027 List the prime factors of 5417643. 3, 7, 11, 47, 499 List the prime factors of 1211904. 2, 3, 263 List the prime factors of 16674499. 157, 106207 List the prime factors of 4130839. 4130839 What are the prime factors of 3985491? 3, 1328497 What are the prime factors of 42933? 3, 11, 1301 What are the prime factors of 1163500? 2, 5, 13, 179 List the prime factors of 2129176. 2, 7, 193, 197 List the prime factors of 643719. 3, 229, 937 List the prime factors of 3505764. 2, 3, 292147 What are the prime factors of 165710? 2, 5, 73, 227 What are the prime factors of 764083? 23, 139, 239 List the prime factors of 15410961. 3, 1712329 List the prime factors of 9090924. 2, 3, 757577 List the prime factors of 4572537. 3, 1524179 What are the prime factors of 371556? 2, 3, 10321 List the prime factors of 2599940. 2, 5, 7, 379 What are the prime factors of 2331432? 2, 3, 32381 What are the prime factors of 394866? 2, 3, 21937 List the prime factors of 760156. 2, 59, 3221 What are the prime factors of 210173? 210173 List the prime factors of 96076. 2, 24019 What are the prime factors of 1427449? 23, 53, 1171 What are the prime factors of 368895? 3, 5, 24593 What are the prime factors of 2546169? 3, 23, 36901 What are the prime factors of 380778? 2, 3, 63463 What are the prime factors of 269997? 3, 7, 13, 23, 43 List the prime factors of 972451. 17, 57203 What are the prime factors of 5486901? 3, 7, 261281 What are the prime factors of 270538? 2, 17, 73, 109 List the prime factors of 4142804. 2, 41, 25261 List the prime factors of 82020. 2, 3, 5, 1367 What are the prime factors of 3244005? 3, 5, 72089 List the prime factors of 636566. 2, 7, 41, 1109 What are the prime factors of 1274596? 2, 19, 31, 541 What are the prime factors of 2781444? 2, 3, 31, 7477 List the prime factors of 248826. 2, 3, 113, 367 What are the prime factors of 576435? 3, 5, 83, 463 What are the prime factors of 2176870? 2, 5, 217687 List the prime factors of 110067. 3, 19, 1931 List the prime factors of 3075190. 2, 5, 181, 1699 What are the prime factors of 3899659? 29, 134471 What are the prime factors of 78245? 5, 15649
{ "pile_set_name": "DM Mathematics" }
*(o + 13)*(o + 8380) Determine s, given that -5*s**2 + 35646730*s - 63534467984645 = 0. 3564673 Factor -j**2 - 1834029*j - 3668054. -(j + 2)*(j + 1834027) Factor n**2 + 133770626*n + 4473645095107969. (n + 66885313)**2 Suppose 3*r**2 - 1218690*r - 1218693 = 0. What is r? -1, 406231 Factor -5*a**2 - 175820160*a - 1545636433121280. -5*(a + 17582016)**2 Determine o, given that 2*o**3 - 13102*o**2 + 18150720*o + 11222106624 = 0. -457, 3504 Let -5*x**5 - 8495*x**4 + 2952500*x**3 - 23073760*x**2 = 0. Calculate x. -1996, 0, 8, 289 Suppose -w**5 + 4529*w**4 - 31665*w**3 + 49735*w**2 + 31666*w - 54264 = 0. What is w? -1, 1, 3, 4, 4522 Factor -b**2/3 + 2371*b/3 - 449190. -(b - 1426)*(b - 945)/3 Suppose -5*n**2 - 61441470*n = 0. What is n? -12288294, 0 Find u such that -u**5/3 - 23*u**4/3 + 378*u**3 + 33578*u**2/3 + 238771*u/3 + 68783 = 0. -33, -13, -1, 37 Solve -10*h**2/7 + 21029864*h/7 - 8411944/7 = 0. 2/5, 2102986 Factor 4*r**2 + 88239448*r + 486637511459044. 4*(r + 11029931)**2 Factor -3*v**2 - 163395504*v - 2224840893951168. -3*(v + 27232584)**2 Factor 81*n**3/5 + 13653*n**2/5 + 691888*n/5 + 9258816/5. (n + 21)*(9*n + 664)**2/5 Factor -x**3/3 + 8984*x**2/3 + 560915*x/3 - 189966. -(x - 9046)*(x - 1)*(x + 63)/3 Factor -2*h**3 - 1718*h**2 - 79176*h + 165240. -2*(h - 2)*(h + 51)*(h + 810) Determine v, given that -v**2 + 373566*v - 16434968 = 0. 44, 373522 Factor -2*d**2/3 + 25360*d/3 + 998166. -2*(d - 12797)*(d + 117)/3 Let -3*n**4 + 18966*n**3 - 1653516*n**2 + 48326760*n - 471290400 = 0. What is n? 28, 30, 6234 Factor -2*l**2/7 - 471450*l - 3300136. -2*(l + 7)*(l + 1650068)/7 Find x, given that -x**3 - 178943*x**2/3 - 298222*x/3 + 159056 = 0. -59646, -8/3, 1 Let -72716712438*x**4 + 245143222558*x**3 - 9215375646*x**2 + 116052954*x - 487780 = 0. Calculate x. 29/2297, 10/3 Factor -3*j**2 - 38595096*j - 124131786270768. -3*(j + 6432516)**2 Find b, given that -162*b**5/5 + 26682*b**4/5 - 100346*b**3 - 151338*b**2/5 + 6292*b/5 = 0. -1/3, 0, 1/27, 22, 143 Find u such that 2*u**3/3 + 484*u**2/3 + 15278*u/3 - 59388 = 0. -202, -49, 9 Factor 2*u**3/9 - 44858*u**2/3 + 250487590*u + 315965450582/9. 2*(u - 33713)**2*(u + 139)/9 Find x such that x**5 + 192*x**4 + 5157*x**3 - 814774*x**2 - 48064896*x - 702535680 = 0. -99, -32, 70 Factor 2*f**2/9 + 29155040*f/9 + 106252044675200/9. 2*(f + 7288760)**2/9 Factor -3*g**3 + 2145510*g**2 - 383590368900*g - 3836118243000. -3*(g - 357590)**2*(g + 10) Factor -39*s**2/5 - 34824363*s/5 - 48218274/5. -3*(s + 892931)*(13*s + 18)/5 Factor 479868*a**2 - 479853*a - 15. 3*(a - 1)*(159956*a + 5) Find z such that -2*z**4 + 52164*z**3 - 415938362*z**2 + 988546923000*z - 718261851125000 = 0. 1666, 11375 Determine y so that -2*y**3/5 - 93387158*y**2/5 - 93387156*y/5 = 0. -46693578, -1, 0 Find x such that -5*x**4 + 295230*x**3 - 12096225*x**2 + 11801000*x = 0. 0, 1, 40, 59005 Let m**5/5 - 4648*m**4/5 + 325626*m**3/5 - 3016172*m**2/5 - 325627*m/5 + 604164 = 0. What is m? -1, 1, 11, 60, 4577 Suppose c**2/2 + 305985*c/2 + 19880575 = 0. What is c? -305855, -130 What is p in -p**4/4 + 1583*p**3/4 - 208291*p**2/2 + 103750*p = 0? 0, 1, 332, 1250 Determine z so that 4*z**5 + 1096*z**4 - 11264*z**3 - 983256*z**2 - 8110980*z + 9104400 = 0. -281, -15, 1, 36 Let -9*l**5 + 490422*l**4 + 8175735*l**3 + 25346160*l**2 + 3271164*l - 37283472 = 0. Calculate l. -38/3, -3, -2, 1, 54508 Factor y**3/2 - 1053*y**2/2 + 368631*y/2 - 42890715/2. (y - 369)**2*(y - 315)/2 Let -455*u**4 - 1245*u**3 + 35670*u**2 + 26680*u + 4800 = 0. What is u? -10, -3/7, -4/13, 8 Factor 2*k**3/19 - 7368*k**2/19 + 971878*k/19. 2*k*(k - 3547)*(k - 137)/19 Suppose 2*o**4/17 - 76*o**3/17 - 294*o**2/17 + 11824*o/17 + 66304/17 = 0. What is o? -8, -7, 16, 37 Factor 4*h**3 - 91148*h**2 + 22240860*h - 1364091156. 4*(h - 22541)*(h - 123)**2 Factor -y**2/2 - 1220109*y/2 - 32331484. -(y + 53)*(y + 1220056)/2 What is i in -5*i**4 + 465482380*i**3 - 10833691839040830*i**2 - 21667385074528820*i - 10833692770005605 = 0? -1, 46548239 Find l, given that 2*l**5/3 - 14408*l**4/3 - 33686*l**3 + 750128*l**2/3 - 1326920*l/3 + 230752 = 0. -12, 1, 2, 7211 Suppose 2*h**5/3 + 1082*h**4 + 282872*h**3/3 + 2065768*h**2 - 6483424*h/3 = 0. What is h? -1532, -46, 0, 1 Factor u**3 + 1216010*u**2 - 2432023*u + 1216012. (u - 1)**2*(u + 1216012) Factor r**4/4 - 185243*r**3/4 + 2821555917*r**2 - 54130900941220*r - 146883310155632848. (r - 62548)**3*(r + 2401)/4 Find t such that -t**3/3 - 1078*t**2/3 + 39727*t + 40086 = 0. -1179, -1, 102 Find r, given that -3*r**3 + 20277*r**2 + 590196*r + 2443680 = 0. -24, -5, 6788 Solve 14930*c**3/3 - 89594*c**2 + 403362*c - 1134 = 0 for c. 21/7465, 9 Factor -g**2/6 + 14509*g/6 + 33887. -(g - 14523)*(g + 14)/6 Find o such that -o**3 - 3013*o**2 - 215446*o - 2428440 = 0. -2940, -59, -14 Factor -2*m**3 - 11789740*m**2 - 17374746158450*m. -2*m*(m + 2947435)**2 Find i, given that -3*i**4 - 978*i**3 - 34260*i**2 + 627522*i - 2371257 = 0. -283, -57, 7 Factor 2*q**3/11 - 1436042*q**2/11 + 261098*q - 1436038/11. 2*(q - 718019)*(q - 1)**2/11 Find v such that -4*v**5/15 + 138154*v**4/15 - 1588376*v**3/15 + 4626674*v**2/15 - 644504*v/5 = 0. 0, 1/2, 4, 7, 34527 Solve -2*d**5/11 + 4568*d**4/11 - 2882874*d**3/11 + 303918892*d**2/11 + 932005376*d/11 + 625199040/11 = 0 for d. -2, -1, 135, 1076 Find a such that -2*a**3/11 - 185554*a**2/11 - 363564482*a + 14370615006250/11 = 0. -47951, 3125 Determine a so that -12*a**5/7 - 10441*a**4/7 - 3007308*a**3/7 - 280603824*a**2/7 + 1767693248*a/7 = 0. -292, 0, 71/12 Factor -28339*i**2/7 + 4050*i - 11/7. -(i - 1)*(28339*i - 11)/7 Find w, given that -2*w**4 - 16224*w**3 - 30280156*w**2 + 10836861792*w - 10806565410 = 0. -4209, 1, 305 Find d such that -1234*d**3/13 + 347288*d**2/13 - 689640*d/13 = 0. 0, 2, 172410/617 Find r, given that 10*r**4 - 9346984*r**3 + 1125268392*r**2 - 34093419840*r + 13457923200 = 0. 2/5, 60, 934578 Factor i**2 - 7722*i - 758443. (i - 7819)*(i + 97) Find p such that p**5 - 1710*p**4 + 5118*p**3 + 5132*p**2 - 18783*p + 10242 = 0. -2, 1, 3, 1707 Factor -5*r**2/6 + 16975*r/3 + 481180. -5*(r - 6874)*(r + 84)/6 Factor 2*s**2 + 11300388*s + 15962346118818. 2*(s + 2825097)**2 Factor 4*t**4/3 + 1576*t**3/3 + 41184*t**2. 4*t**2*(t + 108)*(t + 286)/3 What is v in -2*v**3 - 13355966*v**2 = 0? -6677983, 0 Factor -3*o**5 + 636912*o**4 + 636915*o**3. -3*o**3*(o - 212305)*(o + 1) Let 3*o**3 + 1802169*o**2 = 0. Calculate o. -600723, 0 Let -21*o**4/4 + 1013*o**3/4 + 2985*o**2 - 725*o = 0. Calculate o. -10, 0, 5/21, 58 Factor 2*i**4/9 + 34528*i**3/9 - 69062*i**2/9 + 34532*i/9. 2*i*(i - 1)**2*(i + 17266)/9 Let -18*c**2/11 - 337680248*c/11 + 75040056/11 = 0. Calculate c. -18760014, 2/9 Find s, given that 3*s**4 - 239704*s**3/9 + 221599*s**2/9 + 321542*s + 23672 = 0. -3, -2/27, 4, 8877 Let -3*f**3/5 - 8871*f**2/5 - 4338357*f/5 - 4329489/5 = 0. Calculate f. -2339, -617, -1 Suppose 4*m**2 + 177282736*m - 177282740 = 0. Calculate m. -44320685, 1 Suppose -2*s**4 + 239632*s**3 - 7182009516*s**2 + 243980601904*s - 2073246627218 = 0. Calculate s. 17, 59891 What is c in 5*c**3 - 80815*c**2 + 1937220*c - 8715060 = 0? 6, 18, 16139 Find m such that -4*m**3 + 34799784*m**2 + 4*m - 34799784 = 0. -1, 1, 8699946 Let -20*j**3/3 + 17605*j**2/3 - 507155*j - 383670 = 0. Calculate j. -3/4, 98, 783 Factor -u**2 + 44670*u - 893000. -(u - 44650)*(u - 20) Solve -2*v**4/5 + 33448*v**3/5 - 1257634*v**2 + 17360700*v = 0 for v. 0, 15, 175, 16534 Suppose 5*g**3 + 3955215*g**2 - 197770125*g + 2472165625 = 0. Calculate g. -791093, 25 Let -24*b**4/11 + 1093322*b**3/11 - 16602155310*b**2/11 + 84035498464350*b/11 - 7002842913250/11 = 0. What is b? 1/12, 15185 Factor -2*b**3/13 + 12268*b**2/13 + 1782384*b/13. -2*b*(b - 6276)*(b + 142)/13 Find r such that -r**2/2 - 931207*r - 867146476849/2 = 0. -931207 Let -g**3/5 + 106*g**2 + 98927*g/5 + 1523676/5 = 0. Calculate g. -132, -17, 679 Factor l**3/6 - 3235*l**2/2 - 45388*l - 953834/3. (l - 9733)*(l + 14)**2/6 Factor 28830*u**2 - 168235*u + 350. 5*(6*u - 35)*(961*u - 2) Let -3*c**5/4 + 111*c**4/4 + 1131*c**3/2 - 8589*c**2 - 135306*c - 422280 = 0. Calculate c. -17, -6, 20, 46 Let 3*t**5 - 40320*t**4 + 134538858*t**3 + 6331515168*t**2 - 191920634829*t = 0. What is t? -67, 0, 21, 6743 Find b, given that 3*b**4 - 1197*b**3 + 28350*b**2 - 112200*b = 0.
{ "pile_set_name": "DM Mathematics" }
to the form x + b*j**3 + z*j**2 + t*j and give b. -2 Express -12*l**2 + 2*l**4 + 11*l**2 - 307*l**3 + 0 + 1 - l + 300*l**3 in the form d + b*l + r*l**4 + y*l**2 + z*l**3 and give z. -7 Rearrange (5 - 7 + 4)*(-1 - 4 + 2)*(-43*r - 20*r - r) to c + z*r and give z. 384 Rearrange -t**4 - 10 - 23*t + 10 + t + 21*t - 11866*t**3 to m*t**3 + c + j*t**2 + l*t + s*t**4 and give l. -1 Rearrange -4*l**2 + 3*l - 3 - 19 - 12*l**2 - 4*l + 25*l**2 to f*l**2 + g + d*l and give g. -22 Rearrange 350 + 16722*p**2 + 15214*p**2 - 174 - 176 to u + s*p + i*p**2 and give i. 31936 Rearrange -3*c**4 + 10*c**2 + c**2 + 25*c**2 - 1 + 7*c**2 + 3 to t*c + k*c**2 + g*c**4 + i*c**3 + x and give x. 2 Rearrange (0 - 3 + 1 + 3 - 4 + 0 + (0 + 1 - 3)*(1 + 0 + 0) - 3 - 3 + 5)*(-h**2 + 0*h + 0*h) + 20*h**2 + 11 - 8 - 30*h + 28*h to r + f*h**2 + c*h and give f. 26 Express -4*s**2 + 3002 + 3164 - s - 6460 as u*s + n + j*s**2 and give j. -4 Express (-227 + 227 + 47*c)*(2717*c + 6 - 2717*c + 99*c**2) in the form g + u*c**3 + s*c + a*c**2 and give u. 4653 Rearrange -1814*a**2 - 3*a**3 + 205*a - 46*a - 45*a - 114*a to c*a**3 + z + d*a + w*a**2 and give c. -3 Express -372*k**2 - 107*k**2 - 20*k**3 - 23*k**3 - 2*k + 41*k**3 + 23 in the form v + b*k + m*k**3 + h*k**2 and give b. -2 Express (-1 + g + 1)*(-17 - 31 + 6)*(-2 - 2 - 8)*(-1 - 1 + 3 + 5*g) in the form j*g**2 + y*g + q and give y. 504 Rearrange (0*t**2 + 2*t**2 - t**2)*(59104*t**2 + 14439*t**2 - 35513*t**2) to the form o*t**2 + j*t + y*t**4 + b*t**3 + r and give y. 38030 Rearrange (10*a**2 + 9*a**2 - 4*a**2)*(2183*a - 32 - 2182*a - 25) to the form h*a + p*a**3 + m + y*a**2 and give y. -855 Rearrange (-2*k**2 - k**2 + k**2)*(3 + k**2 - 3) - 3694*k**4 + 1372*k**4 + 1217*k**4 to g*k**4 + b*k + v*k**3 + a + f*k**2 and give g. -1107 Express -149*i**3 - 45*i**4 - 161 + 156 + 0*i**2 + i**2 + 147*i**3 in the form t*i**3 + q*i**4 + g*i + d*i**2 + y and give y. -5 Express (1 + 0 + 0)*(-137 - 5565*l + 5557*l - 42) in the form j*l + o and give j. -8 Rearrange -2 - 76*r**3 + 64*r**3 + 88*r**3 - r**2 + 94*r**3 to s + b*r**2 + v*r + i*r**3 and give b. -1 Express (429 + 390 - 927)*(3 + 2*o**3 - 3 + 0*o**3 - o**3 + 2*o**3 + (o**2 + 2*o**2 - 4*o**2)*(2 - 3*o - 2)) as s + f*o + n*o**3 + b*o**2 and give n. -648 Express 11*w**2 - 2*w**3 + w + 849 + 4*w**3 + 29*w**2 - w**4 - 851 as v + r*w**2 + i*w**3 + m*w + y*w**4 and give y. -1 Rearrange (0 + 0 + 2*u)*(-28410*u - 9472*u + 23*u**2 - 22*u**2 + 3842*u) to the form m*u**2 + i + x*u + f*u**3 and give f. 2 Express (278 + 202 - 183)*(2*w + 0*w - 5*w)*(4 - 1 - 4) in the form v + s*w and give s. 891 Express (-5 + 4 - 4)*(-15*t**3 + 12*t**3 - 25*t**3)*((2 + 0 - 4)*(0 - 1 + 0) - 38 + 61 + 46) as o*t**3 + r + c*t**2 + h*t and give o. 9940 Rearrange 43*x**3 - 85*x**4 + 3*x**2 - 84*x**4 - 35*x**3 + 3 + 158*x**4 to the form o + z*x**3 + n*x**4 + j*x + y*x**2 and give z. 8 Rearrange 44 + 40 + 42 - 126 - 785*c + (-4 + 5 + 0)*(c - 1 + 1) - 20 + 20 + 20*c to the form y + v*c and give v. -764 Express (-20*j + 4 - 4)*(0 + 15 - 5) + (9*j - 3*j + 0*j)*(2 + 1 - 4) in the form b*j + p and give b. -206 Express (-172 + 216 - 189)*(-1 - 2*m + 1)*(-4*m - 2*m - 7*m) as u*m + k*m**2 + p and give k. -3770 Express 1972*g + 1393*g - 802*g as o + j*g and give j. 2563 Express (-189*r + 245 - 44 - 41 + 225 - 79)*(-r - 1 + 1) in the form m*r + d*r**2 + f and give d. 189 Express (-3 - 3 + 7)*(-1 - 4*v + 1) - 232*v - 98 + 98 as g + c*v and give c. -236 Rearrange -19224 - 1897*v - 5502*v + 19224 to m + d*v and give d. -7399 Rearrange (-16*z - 103*z + 37*z)*(25 - 188 - 52 - 231 - 357 - 9) to the form w + d*z and give d. 66584 Express -70*t**3 + 0 + 0 + 7*t**2 - 133*t + 132*t as u*t + m + o*t**3 + d*t**2 and give d. 7 Rearrange (0 + 0 - 2*r)*(2*r - 2 + 2) + (2811 + r - 6776 + 5790)*(4 + 3*r - 4) to the form j*r**2 + m*r + g and give m. 5475 Rearrange -780*u**2 + 1594*u**2 - 814*u**2 - 6000*u**3 + (u - 2*u + 3*u)*(0*u + 0*u - u**2) - 4*u + 4*u**3 + 4*u to h*u**3 + y + k*u**2 + z*u and give h. -5998 Express (96*s**3 + 18*s**3 + 67*s**3)*(-7*s + 10*s + 64*s) as c*s**3 + n*s**4 + m*s + q + k*s**2 and give n. 12127 Express -60*d + 3659 - 7311 + 3653 - d**3 - 5*d**2 in the form k*d**2 + l + q*d**3 + g*d and give k. -5 Rearrange -50665*n - 214*n**3 + 2 + 50662*n - 2 to v*n**2 + m*n**3 + i + q*n and give q. -3 Rearrange 239*l**3 - 4352*l**3 - 928*l**2 + 457*l**2 - 1593*l**3 + 469*l**2 to n*l + c*l**3 + k*l**2 + s and give c. -5706 Express (-3*q**2 + 2*q**2 + 2*q**2)*(3*q**2 + 115*q - 437 - 734 + 215 - 116*q) as y*q**3 + z*q**2 + s*q**4 + r*q + u and give s. 3 Express -21412*r**4 + 21377*r**4 + 79*r**2 + 10*r**2 - 21*r**2 + (3 + 3 - 5)*(-2*r + 2*r**4 + 2*r) in the form p*r + s*r**4 + c*r**2 + g*r**3 + w and give s. -33 Express 0 + 0 + 2*k**4 + (-614108 + 389*k**2 + 614108)*(-3*k - 2*k + 4*k)*(0 + 0 + k) as p*k + a*k**4 + w + q*k**3 + y*k**2 and give a. -387 Rearrange 0*p**2 + 0*p**2 - p**2 + (189 - 332 + 183)*(p + 4*p**2 - p) - 171 - 16*p**2 + 171 to o*p**2 + q + w*p and give w. 0 Rearrange -3 + 771*m + 12*m**2 - 2*m**3 - 3 - 3 - 770*m + m**4 to t*m**2 + p*m**4 + s + d*m**3 + j*m and give s. -9 Rearrange 6756*l + 583 - 1759 + 587 + 588 to n + s*l and give s. 6756 Rearrange -77 + 287 + 479*t - 70 - 77 - 74 to z + y*t and give y. 479 Rearrange 53*g**2 - 6679*g + 6658*g - 4 + 3 to y + f*g + x*g**2 and give f. -21 Express 4 + 117*c - 11 + 288*c + 7 in the form y*c + g and give y. 405 Express -2063*t**2 + 686*t**2 - 1218 + 688*t**2 + 692*t**2 in the form g + j*t**2 + l*t and give g. -1218 Rearrange (799 - 347*r**2 - 799)*(-r + 2*r + 0*r) + (0 + 4 + 0)*(3 - 3 + 2*r**3) to the form q*r**2 + v*r**3 + c*r + k and give v. -339 Rearrange 5*g**2 - 6 + 3*g**4 - 2064*g - g**2 + 2066*g to t*g**2 + x*g + a*g**4 + f*g**3 + z and give x. 2 Express (1 + 1 - 3)*(-2*p - 2*p + 2*p) + 3812*p - 15806 + 31606 - 15797 in the form q*p + x and give x. 3 Express (-55*g - 55*g + 120 + 109*g)*(3 + 4 - 2)*(5 - 6 - 2)*(4*g - 4*g - 2*g**2) in the form b*g + l*g**3 + t*g**2 + z and give t. 3600 Express -38*i**4 - 79*i**4 + 187*i**4 + (-1 + 2*i + 1)*(7*i**2 - 4*i**3 - 7*i**2) - i**4 - i**4 + 3*i**4 as w*i**3 + u*i**2 + z + q*i + o*i**4 and give o. 63 Express -640143*k + 640148*k + 1627 + 3260 as m*k + s and give s. 4887 Rearrange -40 - 13*o - 3*o**3 + 50 + o**3 - 24 - 2*o**3 to q*o + x*o**3 + g + z*o**2 and give x. -4 Rearrange -3783*j**2 + 2780*j - 12 + 10 - 2780*j to b*j + a*j**2 + u and give u. -2 Rearrange 20973*w + 20972*w + 2*w**4 - 41949*w - 8*w**3 to l*w + v*w**3 + b*w**2 + q*w**4 + s and give s. 0 Express -87*h + 50918*h**2 + 0 - 50927*h**2 + 0 as x*h + o*h**2 + b and give b. 0 Express -2439*z - 4528*z - 974*z + 147*z in the form p*z + n and give p. -7794 Express -2337*j**2 + 1475*j**2 + 1221*j**2 + 11*j**3 - 4*j**4 + 1 - 6*j**3 + 6*j**4 as q*j + v*j**3 + z + t*j**4 + l*j**2 and give t. 2 Express 4*o**4 - 438 - 2*o - 510 + 784 in the form w + i*o**3 + n*o**2 + q*o**4 + d*o and give w. -164 Express 216*i - i**2 - 4*i**2 + 4*i**2 + 6*i**2 - 6*i**2 + 22*i**3 as w + l*i + p*i**3 + d*i**2 and give d. -1 Rearrange (46*b + 29*b + 198*b)*(0 + 4 - 1)*(4 - 6 + 3) to j + y*b and give y. 819 Express -2*j**2 - 3 - 9*j**3 + 3*j**3 + 32*j**4 + 6*j + 3*j**3 + 2 - 26*j**4 as g*j**2 + o*j + x + a*j**3 + r*j**4 and give x. -1 Rearrange (65 - 65 + a)*(-7639 - 3*a**3 + 5*a**3 + 7822) to r*a**2 + o*a + l + m*a**3 + f*a**4 and give f. 2 Express -2*k + 168*k**3 - 163*k**3 + k + 0*k**2 + 29*k**2 as z*k + w*k**3 + f*k**2 + n and give w. 5 Express (-l - 1 - 10 + 5*l)*(-48 - 26*l**2 + 48) - 6*l**3 - 10*l**2 + 10*l**2 in the form u + i*l + a*l**3 + j*l**2 and give j. 286 Express -656*k + 2402*k + 3390*k + 1541*k in the form j + x*k and give x. 6677 Rearrange (-24584 + 138*b + 24584)*(0*b + 0*b - 28 - 2*b) to the form l + d*b + u*b**2 and give d. -3864 Express (-178*q + 31*q + 16*q - 2)*((-4 - 6 + 5)*(3*q - 7*q + 3*q) - 2*q - 2*q + 0*q) in the form g + s*q + c*q**2 and give c. -131 Express 1326 - 4*i**2 + 1019 - 1000 as a*i**2 + k + y*i and give a. -4 Express 9*g**3 - 8 + 35*g**3 - 42*g**3 - 4*g - 2*g**2 - 2*g**4 - 7*g**4 as o*g + h*g**4 + j*g**2 + i + y*g**3 and give j. -2 Express -4*r - 5*r + 7*r**3 + r**2 + 97*r**3 + 92*r**3 - 51*r**3 as a*r + c*r**3 + q + u*r**2 and give u. 1 Express 786*n**2 + 151*n*
{ "pile_set_name": "DM Mathematics" }
(o) = 316*o - 54607. Calculate c(174). 377 Let f(c) = c**2 - 930*c + 212126. Give f(401). -3 Let w(m) = 6767*m + 365394. Calculate w(-54). -24 Let n(z) = z**3 + 41*z**2 + 102*z + 237. Determine n(-37). 1939 Let y(j) = 6*j**2 - 13*j + 16. Calculate y(14). 1010 Let q(s) = -8*s**2 + 9623*s - 1031845. Give q(119). 4 Let v(a) = 193*a + 91. What is v(2)? 477 Let j(y) = -y**2 + 101*y - 783. Determine j(91). 127 Let f(t) = -t**3 + 347*t**2 - 5929*t + 2366. What is f(329)? 63 Let x(c) = -1116*c**2 - 26788*c - 94. Give x(-24). 2 Let j(t) = 4*t**3 - 23*t**2 - 266*t + 1597. Determine j(6). 37 Let p(b) = 8*b**2 + 1427*b + 39605. What is p(-144)? 5 Let y(x) = 18*x**2 + 612*x + 5187. Calculate y(-16). 3 Let s(r) = -666*r**2 - 5994*r + 20. Determine s(-9). 20 Let z(p) = -547*p - 14880. What is z(-27)? -111 Let b(o) = 7*o**3 - 663*o**2 + 408*o + 5835. Calculate b(94). 7 Let b(p) = p**2 + 49359*p + 2760942. Calculate b(-56). -26 Let m(z) = 971*z - 50338. Calculate m(59). 6951 Let c(w) = 7526*w + 1738497. Give c(-231). -9 Let z(x) = 21*x**2 - 483*x + 76. Calculate z(23). 76 Let q(f) = 109*f + 714. Calculate q(-7). -49 Let x(a) = a**3 - 669*a**2 + 49140*a - 17. Calculate x(585). -17 Let c(f) = 10*f**3 - 90*f**2 + 127*f + 69. Determine c(7). -22 Let t(g) = 206*g**3 + 2*g**2 + 4*g + 3. What is t(-2)? -1645 Let x(d) = 716*d + 113127. Calculate x(-158). -1 Let y(m) = 360*m**2 - 1422*m + 7. Calculate y(3). -1019 Let d(a) = -15*a**3 - 1844*a**2 + 113*a + 152. Calculate d(-123). 1382 Let j(d) = 4*d**2 + 7188*d - 100882. What is j(14)? 534 Let o(r) = -r**3 + 2*r**2 + 76*r - 647. Determine o(14). -1935 Let x(a) = -4*a**2 - 168*a - 1588. What is x(-32)? -308 Let f(n) = 8*n**3 - 8. Give f(2). 56 Let r(j) = 52009*j + 572063. Calculate r(-11). -36 Let r(k) = -8*k**2 - 290*k - 2604. Determine r(-21). -42 Let u(x) = 21744*x - 1000202. Determine u(46). 22 Let a(o) = o**2 - 14608*o - 2273355. Calculate a(-154). -7 Let q(v) = -v**3 - 6*v**2 + 1746*v + 12265. Give q(-7). 92 Let q(k) = 8*k**3 - 1427*k**2 - 891*k - 595. Give q(179). 121 Let v(q) = -q**3 + 63*q**2 - 143*q + 17674. Calculate v(65). -71 Let s(q) = 106*q**2 + 41874*q + 1517. Calculate s(-395). -63 Let j(g) = 58*g + 63. What is j(-22)? -1213 Let s(d) = -17*d**2 - 400*d - 66. What is s(-23)? 141 Let y(o) = 1219*o + 6083. Give y(-5). -12 Let x(p) = 76317*p - 992109. Give x(13). 12 Let q(a) = -3557*a**2 + 32021*a - 51. Determine q(9). 21 Let c(n) = -n**2 - 288*n - 3916. Give c(-14). -80 Let p(i) = -40*i**2 - 1441*i + 10043. Calculate p(-42). 5 Let u(d) = -10709*d - 43018. What is u(-4)? -182 Let x(t) = 14*t**2 + 98*t + 191. Determine x(0). 191 Let b(u) = u**3 + 860*u**2 + 29678*u + 11526. Determine b(-824). -10 Let v(o) = 92*o - 6963. What is v(78)? 213 Let a(l) = -49178*l - 27785572. Give a(-565). -2 Let y(x) = -2*x**3 + 376*x - 4850. Determine y(-18). 46 Let n(v) = -25*v + 138. Calculate n(-7). 313 Let a(n) = -4920*n - 398543. What is a(-81)? -23 Let w(n) = -1433*n - 23336. Give w(-16). -408 Let j(q) = 1111*q - 7051. Give j(6). -385 Let c(i) = i**2 + 245*i - 62124. Give c(155). -124 Let l(c) = 9*c**3 - 41*c**2 + 10*c + 65. What is l(7)? 1213 Let x(q) = -10*q**3 + 73*q**2 + 367*q - 1909. Determine x(9). 17 Let l(t) = -30*t**2 - 81*t + 1. Determine l(-3). -26 Let d(s) = -25*s**2 + 42611*s - 36. Determine d(0). -36 Let y(d) = 17*d**2 + 8602*d - 34623. Calculate y(-510). 57 Let o(f) = -2*f**2 - 65573*f + 5654050. Calculate o(86). -20 Let v(p) = 2*p**3 + 70*p**2 + 23*p + 25. What is v(-35)? -780 Let k(q) = -q**2 - 105*q + 2974. Determine k(-142). -2280 Let b(h) = -2*h**2 - 28867*h + 115453. What is b(4)? -47 Let v(x) = -2*x**3 - 129*x**2 - 1899*x - 410. What is v(-42)? -32 Let h(s) = s**2 - 15589*s - 2217935. What is h(-141)? -5 Let d(i) = -7*i**3 - 666*i**2 + 567*i - 828. What is d(-96)? 36 Let d(q) = 34683*q - 2254400. Calculate d(65). -5 Let h(u) = 272*u + 282. Determine h(-1). 10 Let n(i) = -367*i - 2224. Give n(-7). 345 Let m(s) = -172*s**2 - 342344*s - 127349. Determine m(-1990). 11 Let o(h) = -7*h**3 - 415*h**2 - 6118*h - 173. Calculate o(-32). 19 Let d(l) = -864*l + 117518. Give d(136). 14 Let y(p) = 5*p**3 + 2*p**2 - 161*p + 20. Give y(10). 3610 Let y(r) = -2388*r + 2352175. What is y(985)? -5 Let y(v) = -v**3 - 8*v**2 + 536*v - 43. Determine y(-28). 629 Let f(z) = z**3 - 415*z**2 + 8643*z + 86. Determine f(22). 20 Let b(k) = -9139*k - 64036. Give b(-7). -63 Let q(v) = 50674*v + 456054. Calculate q(-9). -12 Let w(j) = j**3 - 340*j**2 - 55782*j + 166. Calculate w(-121). 287 Let k(v) = 112*v - 6275. What is k(56)? -3 Let d(o) = -o**3 + 76*o**2 - 56*o + 4643. What is d(76)? 387 Let u(x) = 150*x**3 + x**2 + 1886*x - 1887. Give u(1). 150 Let m(g) = -4*g**3 + 815*g**2 + 4283*g + 22155. What is m(209)? 1 Let t(o) = 168*o**2 - 3151*o - 6307. Give t(-2). 667 Let a(i) = -3*i**3 - 119*i**2 + 582*i + 3. Determine a(-44). -437 Let d(n) = 81614*n + 1142569. Give d(-14). -27 Let j(v) = 1326*v - 15175. Calculate j(11). -589 Let z(f) = -311*f + 45990. Give z(148). -38 Let z(r) = -r**3 + 89*r**2 + 10*r - 8281. Determine z(88). 343 Let z(b) = -3624*b - 116155. Determine z(-32). -187 Let u(l) = l**3 - 370*l**2 + 4590*l - 3529. Determine u(12). -1 Let v(u) = -3*u**2 + 377*u - 6551. What is v(20)? -211 Let a(s) = 15*s**2 + 3533*s + 165539. What is a(-171)? 11 Let r(w) = -w**3 - 2*w**2 + 2007*w + 22. What is r(0)? 22 Let i(k) = -2229*k - 32065. Give i(-15). 1370 Let w(c) = -11*c**2 - 95*c - 482. Give w(-6). -308 Let f(j) = -2*j**3 + 23*j**2 - 110*j + 2093. Calculate f(13). 156 Let a(p) = -354*p**2 - 2132*p - 27. Determine a(-6). 21 Let p(z) = 230*z**2 + 38410*z - 1. Calculate p(-167). -1 Let j(v) = -3*v**2 - 1650*v + 42546. Determine j(25). -579 Let k(w) = 332*w**2 - 19585*w - 181. Give k(59). -4 Let z(x) = -567874*x + 1703613. What is z(3)? -9 Let b(j) = -167*j**2 + 227*j - 21. Give b(2). -235 Let z(i) = -759*i + 35638. Give z(47). -35 Let d(a) = 9*a**2 + 1497*a + 2980. Calculate d(-2). 22 Let b(f) = f**2 + 8197*f - 49182. Calculate b(6). 36 Let v(p) = -20*p**2 + 1382*p - 9882. Give v(61). 0 Let t(q) = 722956*q - 5783640. Calculate t(8). 8 Let z(r) = 4*r**3 + 202*r**2 + 2369*r + 33. Give z(-32). 1 Let d(t) = -t**2 - 127*t + 2686. Calculate d(-147). -254 Let d(x) = 2046*x**2 - 32930*x + 3104. What is d(16)? 0 Let j(f) = -f**3 + 503*f**2 + 30754*f - 35694. Give j(558). 18 Let v(q) = -18751*q + 393747. Determine v(21). -24 Let b(k) = -410*k - 17008. What is b(-41)? -198 Let b(x) = -10467*x + 2061972. Give b(197). -27 Let y(s) = -195*s**2 - 543*s - 74. What is y(-3)? -200 Let d(s) = -s**2 - 217*s - 5955. Give d(-33). 117 Let x(j) = -j**3 - 7*j**2 + 140*j + 2816. Calculate x(-17). 3326 Let x(w) = -1723*w + 482410. Give x(280). -30 Let n(j) = 239*j + 7121. Determine n(-30). -49 Let d(o) = -o**2 + 87*o + 1813. Give d(74). 2775 Let y(r) = r**3 - 118*r - 617. Give y(-5). -152 Let x(h) = 8594*h - 1203153. Calculate x(140). 7 Let l(p) = -p**3 + 27*p**2 + 154*p - 1063. Calculate l(31). -133 Let v(g) = 2*g**2 + 7*g - 369. What is v(22)? 753 Let m(o) = o**2 + 432730*o - 5192892. Determine m(12). 12 Let n(w) = -w**3 + 39*w**2 + 190*w - 815. Calculate n(43). -41 Let n(c) = -c**3 - 97*c**2 + 47*c + 4513. Calculate n(-97). -46 Let a(k) = 10497*k + 871198. Determine a(-83). -53 Let n(t) = 526*t - 4272. Determine n(0). -4272 Let c(z) = 9*z**2 + 2670*z - 10821. Calculate c(4). 3 Let c(s) = -2*s**2 - 58009*s + 232075. What is c(4)? 7 Let p(w) = -7*w**2 - 1081*w - 8377. Calculate p(-8). -177 Let c(g) = 6530*g - 97905. Determine c(15). 45 Let o(g) = -613*g - 269554. Give o(-439). -447 Let v(r) = 122*r - 1164. Calculate v(6). -432 Let l(s) = 25343*s - 152061. Give l(6). -3 Let x(s) = 137*s**3 + 1361*s**2 + 19*s + 1052. What is x(-10)? -38 Let o(l) = -2*l**3 + 281*l**2 - 216*l - 28494. What is o(139)? -555 Let v(u) = u**3 - 43*u**2 - 20*u + 1117. What is v(43)? 257 Let p(f) = -14254*f + 99942. What is p(7)? 164 Let s(l) = 13*l**3 - 727*l**2 - 25*l - 1765. Determine s(56). -29 Let o(c) = 3*c**2 + 1448*c + 15754. Calculate o(-11). 189 Let k(z) = -25752*z + 1184593. Calculate k(46). 1 Let i(z) = 9*z**3 - 100*z**2 - 42*z + 728. Give i(11). 145 Let i(u) = -u**2 + 36*u + 398. What is i(44)? 46 Let y(b) = 1210593*b - 9684738. Give y(8). 6 Let k(x) = -x**2 - 17058*x +
{ "pile_set_name": "DM Mathematics" }
ed to four dps? -0.0049 Let g = -125.88 - -125.87986734. What is g rounded to 6 decimal places? -0.000133 Let d(l) = 2096580*l - 1120. Let u be d(14). Round u to the nearest 100000. 29400000 Let s = 1815799776 - 1815715794.08953. Let t = s + -84029.91. Let r = t + 48. Round r to four dps. 0.0005 Suppose -5*k - 21 = -4*l, 3*l - 4*k - 10 = 7. Let q(i) = 1042001*i**3 + i + 2. Let t be q(l). Round t to the nearest 100000. -1000000 Let a = -4.3961295 + 4.39. What is a rounded to four decimal places? -0.0061 Let n = 0.227 - 40.627. Let h = n + 39.345. Round h to 2 decimal places. -1.06 Suppose 0 = 68*c - 63*c - 3*x - 785932, x = 6. What is c rounded to the nearest 1000? 157000 Suppose -2*d - 12084 = h, 4*d = 4*h + 47068 + 1232. Let s = h - -28108. Round s to the nearest 100. 16000 Let b = 0.7999 - 47.3499. What is b rounded to the nearest 10? -50 Let m = 32144.929 - 32175. What is m rounded to the nearest ten? -30 Let n = 8878566 + -15518616. Let x = 22719936 + n. Let a = -9479886 + x. What is a rounded to the nearest 1000000? 7000000 Let b = 15.2320219 + -15.23. What is b rounded to five decimal places? 0.00202 Let g = -9373.9999996561 - -9374. What is g rounded to seven decimal places? 0.0000003 Let w = -48.8 + -62. Let c = w - -110.80539. What is c rounded to three decimal places? 0.005 Let g(o) = -97*o**3 - 16*o - 6. Let m be g(-13). Suppose 21*w + 370489 = -m. What is w rounded to the nearest 1000? -28000 Let i = 1085.8 + -1085.79999901408. What is i rounded to seven dps? 0.000001 Suppose -2*f + 3020 = -22*f. Let i = 213 - 90. Let h = i + f. What is h rounded to the nearest 10? -30 Let m be ((-1)/(10/235))/((-2)/(-4)). Let v = -45 - m. Let q be (v + 0)/((-26)/(-6097)). What is q rounded to the nearest 100? 500 Let f = -171586920.000000175 + 171587058. Let h = f - 138. Round h to 7 decimal places. -0.0000002 Let p = -9183 + 583. Let u be p/6 - (-7)/105*5. Round u to the nearest 100. -1400 Let r = 84182.8 - 77397. Round r to the nearest one thousand. 7000 Let f = -30.403 - -30.2. Let u = 1.358 - 1.65. Let j = f - u. What is j rounded to one dp? 0.1 Let d = -180025.8931 + 180034. Round d to 1 dp. 8.1 Let k = -31756 - -31755.58435. What is k rounded to 2 dps? -0.42 Let b = -244.055 + 1846749.055. Let m = b + -1846841.0622. Let c = -336 - m. Round c to 2 decimal places. 0.06 Let q = -98996.7683 + 98991. What is q rounded to one decimal place? -5.8 Let n = 113994756.000654 - 113994661. Let u = n + -95. What is u rounded to 3 decimal places? 0.001 Let b = 11297 + -11241.73. Let q = -55.0349 + b. Round q to 1 decimal place. 0.2 Let h be ((-1404)/(-273))/(6/(-69909)). Round h to the nearest one hundred. -59900 Let z = 267.2099 + 6.7201. Let k = -276 + z. What is k rounded to the nearest integer? -2 Let w = 11.16 - -1.84. Let o = w - 13.0252. Round o to 3 dps. -0.025 Let b = 55.4 + -380.4. Let w = -319.52 - b. What is w rounded to the nearest integer? 5 Let u = -6348 + 6348.011089. What is u rounded to four dps? 0.0111 Let m(f) = -212941*f + 6090. Let h be m(-10). Round h to the nearest 100000. 2100000 Let g = 5705873 + -5705934.82437. Let z = g + -0.00563. What is z rounded to the nearest 10? -60 Let d = 864265 - 863873.219. Let c = 392 - d. Round c to one dp. 0.2 Let s = -825534.05999978 + 825534. Let g = 0.04 - 0.1. Let z = s - g. Round z to 7 decimal places. 0.0000002 Let x = -1.3649 + -2013.7351. Round x to the nearest one hundred. -2000 Let m = -2482.74 + 2449. Round m to 1 dp. -33.7 Let i = -2899 + 2898.93413. What is i rounded to three decimal places? -0.066 Let u = -9211 + 13311. Let s = u - 4100.00002153. What is s rounded to 6 decimal places? -0.000022 Let c(y) be the first derivative of -59*y**2/2 + 168*y - 69. Let p be c(-5). What is p rounded to the nearest 10? 460 Let d = 5606.915 + 93.785. Round d to the nearest one thousand. 6000 Let b = 0.145599345 + -0.1456. Round b to 6 dps. -0.000001 Let u = -2913917341961 - -2913917342244.3767222663. Let p = u + 3.6232760037. Let c = p + -287. What is c rounded to 6 dps? -0.000002 Let q = 0.8 + 0.84. Let s = -23.24 + q. Let c = 1.8 + s. Round c to the nearest integer. -20 Let x(o) = -7433303*o - 125. Let j(v) = -7433300*v - 124. Let s(b) = 3*j(b) - 4*x(b). Let q be s(6). Round q to the nearest 1000000. 45000000 Let w = 3947474814.0000209 + -3947475111. Let o = 297 + w. Round o to five decimal places. 0.00002 Let r = 0.53316038 + -0.5331. What is r rounded to five decimal places? 0.00006 Let c = -12083.9993821 - -12084. What is c rounded to four dps? 0.0006 Let o = 1.45 - -79.55. Let i = o + -93.4. Let k = i - -12.40000091. What is k rounded to seven decimal places? 0.0000009 Let z = 239.8 + -120.5. Round z to zero decimal places. 119 Let t = 0.02 - -2.46. Let y = t - 2.479999407. Round y to seven dps. 0.0000006 Let j = -5065.6709 - -5066. Round j to zero decimal places. 0 Let x = -255.77 + 177.585. Let b = 74 + 4. Let u = x + b. What is u rounded to 2 dps? -0.19 Suppose 8*n - 66*n + 15976887 = -8678913. Round n to the nearest one hundred thousand. 400000 Suppose 4*r - 16 = 4*b, 2*b + 12 = -3*r - b. Suppose d + 8*d - 215999928 = r. Let u be (-1)/(-3) + d/24. What is u rounded to the nearest one hundred thousand? 1000000 Let m = 1378.4 - 155.4. Let s = m - 1222.99999407. What is s rounded to seven decimal places? 0.0000059 Let j = 951.0000019619 + -951. What is j rounded to seven dps? 0.000002 Let m = 392.8 - -2.2. Let b = m + -387.34. Let a = 7.660459 - b. Round a to four dps. 0.0005 Suppose 0 = p - 0*p + 4414516. Let b be -29414536 + 21 + (-16)/18 + (-5)/45. Let w = b - p. What is w rounded to the nearest 1000000? -25000000 Let b = 0.0218 - -301.8382. Let u = b + -302. Round u to 2 dps. -0.14 Let g = 0.01179953 + 0.03545593. Let j = g + 513.95545454. Let w = 514 - j. Round w to four decimal places. -0.0027 Let d = -389.62 - -374. Let v = 15.5563 + d. Round v to 2 decimal places. -0.06 Let w = 2228828921 + -2228828922.869996358. Let l = w + 1.87. Round l to 6 decimal places. 0.000004 Let s = 8192943273.999999904 - 8192943117. Let p = -157 + s. Round p to 7 dps. -0.0000001 Let d(b) = -80751*b**2 - 14*b - 9 + 49 - 4*b. Let y be 2*(-70)/((-28)/(-4)). Let i be d(y). What is i rounded to the nearest 1000000? -32000000 Let k = -7433 + 7436.555. What is k rounded to 2 decimal places? 3.56 Let m = -4.2 + 8. Let s = -61 + 56.1. Let l = s - m. What is l rounded to zero dps? -9 Let j = -448 + 1060. Let r = 612.0277 - j. Round r to two dps. 0.03 Let l = 24812889.00273 + -24813145. Let c = 256 + l. Round c to four dps. 0.0027 Let z(a) = 2*a**3 - 14*a**2 + a - 4. Let o be z(7). Suppose 2*f + l = -1476, o*f + 1092 = 3*l - 1122. Round f to the nearest one hundred. -700 Let y = 0.26048 + -0.12726. Round y to two decimal places. 0.13 Let m = -0.0502 + 0.081336. Let s = -6.169 - -6.2. Let p = m - s. What is p rounded to 5 dps? 0.00014 Let r = 113.15 - 109.0555. What is r rounded to 2 dps? 4.09 Let d = 538 - 531.95. Let t = d - 6.04999486. What is t rounded to seven dps? 0.0000051 Let v = 84045 + -84128.363. Round v to the nearest 10. -80 Suppose -4*q - 5*r + 7*r = 152, 3*q - 5*r + 121 = 0. Let s(o) = 4*o - 1. Let z be s(-1). Let x = q + z. What is x rounded to the nearest ten? -40 Let v = 64 + -109. Let i = v + 33. Let w be (-1)/6 + 112798/i. What is w rounded to the nearest 10000? -10000 Let h = -1031277.764 + 1029392. Let k = 1891 + h. What is k rounded to one decimal place? 5.2 Let r = 1.3388 + -13.33944. Let y = 17.9 + -29.9. Let x = r - y. Round x to four decimal places. -0.0006 Suppose -4*d - 143407994 = 3*v, 1792669 + 105763339 = -3*d + 4*v. Round d to the nearest one million. -36000000 Let c = 10.24 + -19.15. Let r = c - 0.19. Let h = r - 0.3. Round h to the nearest integer. -9 Let z = -2180.996942 + 2181. What is z rounded to three decimal places? 0.003 Let t = 29791519 - 29791521.0880903. Let s = -2.088 - t. What is s rounded to five dps? 0.00009 Let o = -0.05 + -43.15. Let q = -38.87 - -0.87. Let y = o - q. What is y rounded to the nearest integer? -5 Let p = 458.06068 + -456.86068155. Let d = -30.74 + 29.54. Let o = d + p. Round o to 7 dps. -0.0000016 Let b = -30883806059.00028 + 30884950554. Let r = b + -1144433. Let c = r - 62. Round c to five decimal places. -0.00028 Let f = 9127.0068064 + -9127. Wh
{ "pile_set_name": "DM Mathematics" }
lue? (a) r (b) 1 (c) 15 a Let z = 2459 - 2436. Which is the third biggest value? (a) -5 (b) -73 (c) z b Let s be (-204)/2*(60/18)/(15/6). Let u = -7 - -11. What is the smallest value in 5, u, s? s Suppose -4*p - 5*r = -198, -4*p + r = -84 - 78. What is the third biggest value in p, 1/6, -1/5? -1/5 Let y = -1036 + 1035. Let l = 1.2 - 1.7. What is the second biggest value in y, l, 3/8? l Let j = -2005/7 - -94221/329. Which is the smallest value? (a) 84 (b) -1/6 (c) 1 (d) j (e) 2/5 b Let d = 0 - 5. Let n be 4 + 42/(-30) - (-2)/(6/(-9)). What is the third smallest value in d, n, -4? n Let n be ((-3)/9)/(6 - 273/45). Suppose 5*m + 32 = 4*f, 0 = n*m + 5*f + 4 + 1. What is the third smallest value in 2/83, m, 0.2? 0.2 Let v = 287 - 102. Let d = 185.3 - v. Which is the third biggest value? (a) d (b) -0.4 (c) 46/3 b Let r(l) = -2*l**2 + 99*l - 817. Let k be r(39). What is the third smallest value in -6/7, 4, -4, k, -3? -6/7 Let q = 1.7 + 4.3. Let o be ((-792)/(-12474))/(12/(-14)). Which is the biggest value? (a) q (b) o (c) -0.4 a Let g be (-48)/(-30) - (-19)/((-57)/6). Which is the fourth biggest value? (a) -0.5 (b) -3 (c) 18 (d) -0.1 (e) g a Let n = 1597.7 + -1598. Which is the third biggest value? (a) n (b) 1/4 (c) -0.96 c Let i be (-1)/12*(-12 - -10). Let j(h) = -80*h**2 + 162*h - 1. Let g be j(2). Which is the third biggest value? (a) g (b) i (c) -53 c Let s = -0.06 + -2.94. Let q = -1.24 + -1024.76. Let m = q - -1023.4. What is the biggest value in 0.5, s, m? 0.5 Let k be 32/(-156)*39/(-6). What is the fourth biggest value in 2, -3/4, 1/7, 0.7, k? 1/7 Let h = -6.1 - 63.9. Let z = 0.0138 + -69.0138. Let y = z - h. Which is the second smallest value? (a) 4 (b) -4/3 (c) y c Let v be (-3)/(441/(-28))*(-6)/(-4). Let m = 328/1449 - 2/483. Let i be (-10)/60 - 10/(-12). What is the fourth biggest value in i, m, v, 2? m Let y = -4267/3 - -1423. What is the biggest value in -11, 12/7, y? 12/7 Let q be (90/12 + -7)*(-12)/(-6). What is the fourth biggest value in -6, -0.057, q, 4? -6 Let t be (279/6)/(135/120). Let v = -41 + t. What is the fourth smallest value in 4, 0.5, v, 21? 21 Let h = 11 + -16. Suppose 5*p - f = -12 + 37, 5*p + 5*f + 5 = 0. Let b = -0.73 - -1.13. What is the second biggest value in b, -2, p, h? b Let n = -495 + 482. What is the third biggest value in 0.3, 0.1, 2, n? 0.1 Let f = 1832 - 1833. What is the smallest value in -2/25, -0.7, -17, f, 0.4? -17 Let k = -9.7122 + 9.6422. Let n = 0.8 - 1. Let j = 0.4 + n. Which is the biggest value? (a) 3 (b) k (c) j (d) 4 d Let a = -3 + 1. Let i be 18104/(-2336) + (-526)/(-72). What is the fourth biggest value in a, -5, i, -2/9? -5 Let x be (1112/14595)/(-3*6/(-63)). Let f = 5 + -4.9. What is the second smallest value in f, 1/4, -2/15, x? f Let o = -2206 + 2205.926. What is the biggest value in o, -3, 1/4, -0.4? 1/4 Let p = -160 + 160.096. Let v = -0.904 - p. What is the second smallest value in 0.86, -5, v? v Let p(q) = 90*q + 1. Let h be p(-1). Let m = 86 + h. Let z be 2/((1/(-2))/(1/6)). Which is the second biggest value? (a) z (b) 0.3 (c) m (d) -5 a Suppose 10 = -4*f + 3*u, 156*u - 151*u = 2*f + 12. What is the third smallest value in f, 4/9, -2/7, -2/13? -2/13 Let d be (19/5 + -2)*(-10)/30. Let y = -2 + 2.2. Which is the biggest value? (a) -0.3 (b) d (c) y c Let q = -175.3 + 14.3. Let o = q + 156. Which is the third biggest value? (a) o (b) -0.4 (c) -4 a Let l be 10/(-4)*(-30)/(-25). Let v = 73 + -74. Let z(s) = -5*s**3 - s - 1. Let x be z(v). Which is the biggest value? (a) x (b) l (c) 7 c Let a = 7852/231 - 710/21. What is the third biggest value in -0.3, a, 5.1, 3? a Let f = -0.413 + 0.913. Which is the second biggest value? (a) -24 (b) f (c) 2/13 c Let k = -5692/7 + 5688/7. What is the fourth biggest value in k, 3, -4, -1/6, 48? k Let m = -699 - -507. Let j = -188 - m. Which is the fourth smallest value? (a) j (b) 33 (c) -2 (d) -3 b Let y be (84/(-48) - 2/(-8))/((-264)/(-32)). Which is the fifth biggest value? (a) 0 (b) -30 (c) y (d) 2/3 (e) -1/5 b Let u = 2.673 + -8.673. Let m = -10 + 10. Which is the fourth biggest value? (a) u (b) 1 (c) m (d) 1/2 a Suppose 0 = -4*k + 98 - 102. Let i be 2 - 58/28 - k/2. Which is the second biggest value? (a) i (b) 1/3 (c) 1 (d) 14/3 c Let l = -2.7 + 3. Let m = -445 + 447.57. Let h = 4.57 - m. What is the biggest value in -1/5, l, h? h Let t = 5 + -2. Let m(r) = -r - 1. Let n(l) = 10*l - 32. Let k(i) = -4*m(i) + n(i). Let d be k(2). Which is the second smallest value? (a) 0.3 (b) t (c) d a Suppose 97 - 137 = -20*k. Let j be (k/3 - 286/(-39)) + -4. Let v = 4 + 2. Which is the smallest value? (a) v (b) -3/8 (c) j (d) 1 b Let g be 9 + 10/(28710/(-29631)). Let f = g + -4/319. Which is the third biggest value? (a) -1 (b) 3 (c) -2 (d) f d Let b = 1342 + -1342.3. Let u be (-9)/(-3) - (12 + -9). What is the third biggest value in -527, u, b? -527 Let p = 331.5 + -331.8. What is the fifth smallest value in -2, 2/31, 80/9, 2/11, p? 80/9 Suppose -68*r + 144 = -65*r. Suppose r*g - 24 = 36*g. Let f = -127/3 + 41. Which is the third smallest value? (a) g (b) f (c) 0.6 a Let z be 2 - ((-9)/(-4) - 2). Let s = 5 + -7. Let h be (-2176)/(-2976) - (-12)/(-186). Which is the third smallest value? (a) h (b) s (c) z c Suppose 0 = -5*c - 20, -5*c - 4 = -4*n - 0*c. Let i = 110/9 - 12. What is the second smallest value in n, -38, i? n Let t be 8*38/(-52) + (30/(-65))/3. Let k = -7/60 + -2/15. Which is the second biggest value? (a) -5 (b) 5 (c) k (d) t c Let u = 0.057 - 0.147. Suppose 0 = -2*l + 6 - 2. Let b be 9/(-30) + l/4. What is the second biggest value in 1/4, b, u? b Let y = -0.625 - -0.386. Let f = y - -97.239. Let g = f + -97.5. Which is the third smallest value? (a) 4/3 (b) -2 (c) 0.4 (d) g c Let p = -0.4394 + 0.3394. Let z = -131 - -133. What is the second biggest value in -5/14, z, p? p Let d = -4873 + 24362/5. Which is the biggest value? (a) -22/21 (b) d (c) 3 c Suppose 3*p + p = -40. Let t = -17.1841 - -16.2841. What is the third biggest value in t, 0.1, p? p Let i be 57/(-1190) - (195/(-35) - -5). Let m = 2/85 - i. Which is the second smallest value? (a) m (b) -2 (c) 3/14 a Let a = -160 - -160.197. Let y = a - -0.103. What is the second smallest value in -0.2, 2.9, y? y Suppose 29*x = 5*x - 120. Which is the third smallest value? (a) 1 (b) x (c) -0.019 (d) -3 c Let i = 8.3 + -0.3. Let n = i + -7.7. Suppose -2*y + 2*j + 2 = 0, -39*y + 38*y = -4*j - 13. What is the biggest value in n, y, -0.2? n Let z(l) = -109*l**3 + l**2 - 2*l - 2. Let q be z(-1). Let v be (1*24/q)/((-6)/15). Let c = 21/22 - v. What is the third biggest value in 2, -0.4, c, 4? c Let c(b) = 2*b**2 + 9*b + 8. Let q be c(-7). Let f = -26.101 - -26.001. What is the fourth smallest value in q, -4, f, -5? q Let r(j) = -10*j + 2. Let v be r(-10). Let a = 513/5 - v. Let x be (-2)/(-300)*5*4. What is the second smallest value in x, -0.5, -0.4, a? -0.4 Suppose 0 = -2*r + 8. Suppose -45*f + 66 = 3*k - 41*f, 3*k - 60 = -2*f. Let o be (-10)/k*6 - -3. What is the third biggest value in o, -2, r? -2 Let u be ((-261)/36 - -8)/(3/198*9). What is the smallest value in u, -0.2, -0.5, 0.3? -0.5 Let u be 11/(-143)*2 - ((-448)/(-390))/(-4). Which is the smallest value? (a) 0.6 (b) -21 (c) u b Let n be 5/(11/(-176)*-40). What is the fifth smallest value in -5, -2/5, n, 4, 4/23? 4 Let i = -0.389 - -0.189. Let h = -1.5 + 0.8. Let g = 8.3 - h. What is the second biggest value in i, -0.4, g? i Let g = -3 + 3.2. Let s = 294 + -299. Let p be 6*(s - (-114)/24). Which is the second smallest value? (a) g (b) p (c) 0 c Let w = -835 + 9179/11. Let f be (84/(-70))/((-2)/(-5)). What is the fourth smallest value in f, w, -0.2, 3? 3 Let v = 1585.6 - 1588. Let p be (-2)/((-24)/4)*0. Which is the second smallest value? (a) 2/3 (b) p (c) v b Suppose 0 = 611*r - 582*r - 145. What is the third biggest value in -0.3, r, -19/5, 4/3? -0.3 Let t(y) = y**3 - 16*y**2 + 49*y - 15. Let r be t(12). Let p(x) = -x**3 - 5*x**2 - 6*x - 4. Let z be p(-4). What is the fourth biggest value in -5, 0.1, z, r? -5 Let w = 2110 + -2111. What is the second biggest value in 31, 2, w? 2 Let h = 3/712 - -2115/4984. Let j = 17 - 10. Which is the second b
{ "pile_set_name": "DM Mathematics" }
e m(-3). Let f = 0.16 + -0.56. Which is the smallest value? (a) z (b) h (c) f b Suppose -1 = -o + 1. Let x = 42 + -44. Let m be (o - -2) + (-2)/x. What is the smallest value in -1, m, -3/4? -1 Let n = 758/23925 - 1/725. What is the biggest value in -5, -0.4, n, 2/9? 2/9 Suppose 4*r + 25 = 3*s, -4*r - 5 = -3*r - s. Let c(t) = -t**3 - 9*t**2 + 10*t + 8. Let q be c(r). What is the third smallest value in q, 3, -2/3? q Let q = 2732 - 2735. What is the smallest value in 60, q, -0.1? q Let n = 3.464 - 0.234. Let j = n + -0.23. Which is the third biggest value? (a) j (b) 0 (c) 5 b Let r be ((-2)/(-6))/(1/18). Suppose -r*i = -64 + 82. What is the second smallest value in i, 0.1, 2, -0.4? -0.4 Let o = -9 - -6. Let u be (o/(-4))/(-1)*2. What is the second biggest value in -0.11, u, -2, 3? -0.11 Suppose -2*g + 11 = -3*w, -14*w + 11 = -15*w - 3*g. What is the second biggest value in 8, -8, w? w Let u = 1756 + -1756.4. Let j = 5/3 + -2. Which is the second biggest value? (a) j (b) -3 (c) u c Let x = -0.05 + -2.95. Let q = 146.85 - 147.25. Which is the biggest value? (a) q (b) 1/8 (c) x b Let n = -92.4 - -92. Suppose 7 = -3*r - 8. What is the third biggest value in r, 0.4, n? r Let k = -0.06 - 5.94. Suppose 0 = -5*o - 2 - 388. Let m = 543/7 + o. Which is the second smallest value? (a) m (b) k (c) 3/4 a Let c = -1.62 - 6.08. Let j = -3.7 - c. What is the smallest value in j, 2/9, -0.4, -0.5? -0.5 Let g = -2245/4 - -561. Which is the smallest value? (a) 0.5 (b) -8/3 (c) g (d) 2/11 b Suppose 60*y - 55*y - 4*v = 19, 3*y - 12 = 3*v. Which is the second smallest value? (a) y (b) -2 (c) -0.08 (d) 2/15 c Suppose -31 + 31 = -4*i. Let m = -180.2 + 180. Which is the second biggest value? (a) m (b) 5 (c) i (d) -2/3 c Let i = 2.05 + -1.55. Which is the biggest value? (a) i (b) 2/3 (c) 0 b Let v = 0.1 + 2.9. Let i = v - 2.6. Suppose -38 = 2*s - 3*x - 22, 4*s + 3*x + 32 = 0. What is the third smallest value in s, i, -0.5? i Suppose -50*p - 798 + 198 = 0. What is the smallest value in -2, p, 0.1? p Suppose -27*k = -22*k + 75. What is the third biggest value in -2, -0.5, 1, k? -2 Let f = -3350/3 + 1117. Which is the biggest value? (a) -2 (b) -3 (c) f (d) 8 d Let g = -0.006 + 27.006. Let v = g + -32. Which is the fourth biggest value? (a) 1/3 (b) v (c) 2/9 (d) 0 b Let x be 6*(3 - (-93)/(-30)). Let p = -2 - 7. Which is the biggest value? (a) p (b) x (c) -0.3 c Let d = -1.32 - 56.68. Let x = -57.86 - d. Which is the third biggest value? (a) 1/9 (b) x (c) 5 a Let f = -1139 + 1139.0173. Which is the second biggest value? (a) -2 (b) f (c) -1/6 (d) 4 b Let y(k) = -3*k**3 - 11*k**2 - 3*k + 13. Let z be y(-3). Which is the biggest value? (a) -0.05 (b) z (c) -1/11 b Let v = 0.11 + -0.51. Let h = -0.03 + 0.03. Let d = h + 0.3. Which is the third biggest value? (a) d (b) -0.2 (c) v c Let j = 118 - 209. Let s = j - -91.2. Let t = 68/145 + -2/29. What is the biggest value in s, t, 5? 5 Let q = -23 + 158/7. What is the third biggest value in -6/13, q, -7? -7 Let i be -4 + (-558)/(-135) + (-26)/45. Which is the fourth smallest value? (a) 1 (b) 0.4 (c) -5 (d) i a Let k be -7 - 183/(-36) - -2. What is the third smallest value in k, -0.06, -1? k Let k = 151/180 + 101/45. Let f = k + -10/3. Which is the second smallest value? (a) 3 (b) f (c) 1/9 c Let d = 1.31 - -0.01. Let u = 1.3 - d. What is the smallest value in u, -5, 3? -5 Let g(r) = r - 8*r - 10*r + 2*r**2 + 16. Let i be g(7). What is the second smallest value in -0.4, -6, i, 2/7? i Let h = -24.7 + 8.7. Let g = h - -20. Which is the second biggest value? (a) g (b) 0.5 (c) 1 c Let b = -7 + 6.73. Let h = b - -0.1. Let s = h + 0.17. What is the smallest value in -1/4, s, -4? -4 Let n be (-934)/(-6) - (-2 + 2). Let v = n + -154. Let m be (36/72)/(1/(-2)). Which is the smallest value? (a) m (b) 2/7 (c) v a Let p = -20.9 - -25.9. What is the fourth smallest value in 38, 1/4, 3/7, p? 38 Let f = -1/66 - 1/6. Let r = 11 + -19/2. Let x = 2.9 + 2.1. Which is the third smallest value? (a) x (b) f (c) r a Let v = -0.010138 + 4.993938. Let z = 0.0438 - v. Let w = z + -0.06. Which is the second smallest value? (a) 0.4 (b) 3 (c) w a Let j = -0.0331 + -15.6469. Let p = j + 19.5. Let t = p + 0.18. What is the smallest value in -0.1, t, 1/7? -0.1 Let i = 1697/3 - 566. Suppose -3*o = 2*z + 440, -4*z = -4*o + 3*o - 156. Let n = o - -743/5. Which is the second biggest value? (a) -0.2 (b) n (c) i a Suppose -5*t + 6 + 14 = 5*j, -j - 36 = -4*t. Which is the smallest value? (a) -0.5 (b) 4 (c) t (d) 3/8 a Let x = 1235/231 + -37/7. What is the second smallest value in -3, -4, -0.5, x? -3 Let t = -37.7 - -37. What is the biggest value in -3/4, t, 0.5, 0? 0.5 Let r = 1198.1 - 1146. Let k = 52 - r. Which is the biggest value? (a) -0.2 (b) k (c) 5 c Let h = -0.92 + -3.08. Let u = -15 + 18. Which is the smallest value? (a) -5 (b) u (c) h a Let r = 4 + -8. Let x = -10522 + 10522.4. Which is the second smallest value? (a) x (b) r (c) 1/3 (d) -0.4 d Let k = -21 + 25. Let u = -26/17 + 268/153. Which is the third biggest value? (a) k (b) u (c) 4/3 (d) 1/4 d Suppose 3*f + 10 + 5 = 0. Let i = -23.7 - -24.2. Which is the third smallest value? (a) i (b) -4 (c) 1 (d) f a Let p(x) = 2*x**3 + 65*x**2 - 32*x + 37. Let m be p(-33). Which is the second smallest value? (a) -5 (b) m (c) 6 (d) 1 d Suppose -12 = -8*z + 5*z. Let l = 6 + -2. Let j = l + -18/5. Which is the second biggest value? (a) z (b) -3 (c) j c Let r = 1.58 + -1.489. Let x = r - -0.109. What is the smallest value in -10, -0.3, 5, x? -10 Let s = 0.91 + -0.41. Let t = s + -2.5. Which is the biggest value? (a) 5 (b) t (c) -0.04 a Suppose -15 = 3*o - 8*o. Let c = -327.99 + 330. Let q = c - 2.51. What is the smallest value in o, -5, q? -5 Let s = 6 - 5.7. Let u = -0.291 - -0.141. Which is the third smallest value? (a) s (b) 0.2 (c) u a Let h = -3.09 + 0.09. Let i = -9209/27 + 341. What is the biggest value in i, -2, h? i Let h be (2/9)/((-2)/(-4)). Let d = 66.9 - 67. Which is the biggest value? (a) d (b) 0.1 (c) h c Let s = -245 - -1957/8. Let m = 6 + -5. Let l = 4.5 - 5. What is the biggest value in m, s, l? m Let x = -7.5 + 8. Let s be -2*1/(-2) + (-68)/52. Which is the fourth biggest value? (a) -0.2 (b) x (c) 4 (d) s d Let f be 4/6 + 0/1. Let g = 66 + -14. Let t = -49 + g. What is the second biggest value in t, -5/4, f? f Suppose -3*x + 2*x = 2*j + 20, 40 = -2*x + j. Let y = x + 26. What is the third smallest value in 5, y, -4? y Let h be (2*-1)/((-60)/18 + 4). Which is the third smallest value? (a) h (b) 1/2 (c) 13 c Let p = -127 - -129. Let u = 0.33 + 5.67. Which is the second smallest value? (a) -5 (b) u (c) p c Let y = -2.607 - -2.507. Let k be (2 - 2 - -2)/(-1). Which is the smallest value? (a) y (b) -2/7 (c) k (d) -5 d Let x = 12 + -8. Let l be (-21)/18 + (14 - 1445/102). Which is the third smallest value? (a) 0.3 (b) x (c) l b Let q be 4 + 0 - 6*(-8)/(-16). Which is the second smallest value? (a) -0.6 (b) -1 (c) q a Let s = -8 + 8. Suppose s*z = z. Let j be 1 - 2/(-4)*2. What is the smallest value in j, z, -3/5? -3/5 Let g = -35/114 - 1/38. Let k = -3 - 3. What is the biggest value in g, k, 0.1? 0.1 Let g(m) = 3*m**2 + 94*m + 32. Let o be g(-31). Let c be ((-3)/(-3))/((-1)/(-12)). What is the third biggest value in o, 1/5, c? 1/5 Let y = -43 - -42.8. Which is the second smallest value? (a) 2/3 (b) -0.4 (c) 1/2 (d) y d Suppose 3*c - 29 + 35 = 0. Let o = 10 + -5. Let z be (-2)/3 + 7/42. What is the biggest value in o, c, z? o Let m = -17 + 6. Let u = 15 + m. Let s = 89 + -87. Which is the smallest value? (a) -0.3 (b) u (c) s a Let h = 7.581 + 0.119. Let u = 0.15 - -7.85. Let q = u - h. Which is the third smallest value? (a) -0.3 (b) q (c) 0.1 b Let q = -23.01 + 19.9. Let v = q + 0.11. Which is the fourth biggest value? (a) 1/5 (b) v (c) 2 (d) 13 b Let k = 2.3 - 4.3. Let d = 2.4 - 2. Which is the third smallest value? (a) 2 (b) k (c) d a Let u = 699.05 + -699. Let g = 3 + -2.9. Which is the second smallest value? (a) 2 (b) u (c) g c Suppose 7*z - 6*z - 71 = 0. Let v = z + -75. What is the third biggest value in v, 17/6, 2/3? v Let b = -1 + 1.5. Let u = 962 + -96
{ "pile_set_name": "DM Mathematics" }
lve d*p + 7*p = -0*p for p. 0 Suppose -5 - 5 = -5*i, -5*q = -i - 53. Solve -3*r + 16 = -q*r for r. -2 Suppose 33*w - 80 = 23*w. Suppose 3*j = -5*b + 11, -2*j + 4*b = -5*j + 10. Suppose 0 = -z + j - 0. Solve -4*x - w = -z*x for x. -4 Let p = 24 + -69. Let q = -35 - p. Suppose -b + 4*l = 12, -4*l + 2*l - 4 = -3*b. Solve -3*h = -q + b for h. 2 Let u = 1511 + -1383. Solve 21*m + u = 23 for m. -5 Suppose 257 = -5*f + 4*o + 326, 5*o - 34 = -3*f. Solve -10*c + 23*c - f = 0 for c. 1 Let u(c) = 2*c**3 - 225*c**2 + 330*c + 334. Let m be u(111). Let z be 30/4 - (-2)/(-4). Solve 3*k - m = -z for k. -2 Let w be 13/((-91)/(-28)) + -2 + 200. Solve -199*p - 3 = -w*p for p. 1 Let k = 28 + -31. Let n be 0 + 0 + 3 + k. Solve n = -2*l - 3 + 1 for l. -1 Let a = 28 + -26. Suppose 0 = -2*n + 7*n + 10, 14 = 2*v - 3*n. Suppose -v*p + a = -3*p. Solve 7*g - p*g - 25 = 0 for g. 5 Let i(m) = m + 1. Let p be i(1). Let y be (-2 - 1) + p + 0. Let h(a) = 4*a**2 + a + 1. Let d be h(y). Solve 4 = -d*o - 12 for o. -4 Let n(p) be the second derivative of -p**5/20 + 7*p**4/12 + p**3/3 + 3*p**2/2 + 7*p. Let l be n(7). Suppose 4*d - l = 43. Solve 0 + d = 3*k for k. 5 Let g be 4728/312 - (-8)/(-52). Let y(r) = 4*r**2 + r - 1. Let c be y(1). Let d be 15/c - (-2)/8. Solve -f + g = d*f for f. 3 Let j be 1/(-2) - (-50)/4. Suppose 10 = -6*m + 8*m + 2*d, -2*m = -4*d + 20. Suppose m = y + 3*y - 12. Solve -j = -y*p + 3 for p. 5 Let a = -443 + 464. Solve -5*j = a - 6 for j. -3 Suppose -6*i + 10*i = 12. Suppose -5*z = -q - 1, -z + i*q - 1 = -4. Solve -5*w + 10 + 0 = z for w. 2 Suppose 0*l + 20 = -4*l + 4*q, -2*l = q - 5. Let d(f) = -f**2 - 3*f + 5. Let p be d(l). Solve 8 + 7 = p*o for o. 3 Let p be (-228)/(-42) - 3/7. Suppose 27 = -7*g + 4*g. Let z be 3/g + (-4)/(-3). Solve 4 + z = p*x for x. 1 Suppose 3*v + 9 = 0, 4*t + 3*v + 14 = -19. Let p be (-31)/(-11) + t/(-33). Solve -4*l + 5 = -p for l. 2 Suppose -27*l - 3 = -26*l + 4*z, -4*l + 72 = -5*z. Solve 6*u - 1 = -l for u. -2 Let g(z) = -z + 31. Let k be g(8). Let l = k + -23. Solve l*c - 1 = -c for c. 1 Let r(t) = 9*t**2 + 41*t - 135. Let f be r(3). Solve 0 = -4*b - 81 + f for b. -3 Suppose -2*z = -5*l - 11, 1 = -4*z + 3*z - 4*l. Suppose -2*w - 5*t = -0 + 1, 5*w - 7 = -z*t. Suppose -w*h + 0*h = -18. Solve h = 4*b - 7 for b. 4 Let k be (4/3 + -2)*-69. Suppose 0 = k*g - 53*g. Suppose 0*t = 2*t - 8. Solve -5*m + t*m = g for m. 0 Suppose -2*l - 3*l = 0. Suppose -4*b + 2*n - 6*n + 28 = l, -22 = -2*b + 2*n. Suppose 51*a - 1025 = -209. Solve -5*c + a = -b for c. 5 Suppose 3*v + u - 94 = 0, -3*v + u + 188 - 102 = 0. Solve 2*r + 8*r + v = 0 for r. -3 Suppose 4*y - 29 = y + n, 3*n = 3*y - 33. Solve 3*q = y - 3 for q. 2 Let m be (-36)/(-72)*(8 - 2). Solve m*u = -u for u. 0 Suppose -r + 3 + 0 = 0. Let a be ((-20)/5)/4 - 55. Let k be 0 - (-2)/14 - 832/a. Solve -k = -0*w - r*w for w. 5 Let y = 113 + -89. Suppose -7*f = -f - y. Solve f*r - 17 = -5 for r. 3 Suppose 69 = 5*o + x + 55, -o - 2 = -x. Solve o*i = -15 + 11 for i. -2 Suppose 3*k + 1078 = 1087. Solve -r = -k*r - 4 for r. -2 Let z(x) = -x. Let o be z(-2). Let v(f) = -2*f**3 - 13*f**2 - 20*f - 187. Let n be v(-7). Solve -o*a - n + 4 = 0 for a. 1 Suppose -2 = -2*i, -5*z + i + 3*i - 4 = 0. Suppose 3 = -u + 7. Solve z = -p + 2 - u for p. -2 Let i = 1067 + -1061. Solve -9*l - i*l = -60 for l. 4 Suppose 5*u + 24 = 2*g, 4*g - 2 = -u + 2. Suppose -3*p - l = -1, -2*l = -3*p + g*p - 2. Let m be 2 - p - (-24)/12. Solve -m*k = 7 - 3 for k. -1 Suppose 5*a + 69 = -36. Let f be ((-6)/4)/(a/28). Solve f*l = -0*l - 4 for l. -2 Suppose 15*f = 14*f + 9. Suppose 4*s = 3*x + 19 - 45, -5*x - 5*s + 55 = 0. Let a be f/(-2)*x/(-15). Solve a*o - 6*o + 15 = 0 for o. 5 Let m(z) = -z**2 - 9*z - 16. Let p = -23 - -20. Let d be m(p). Solve 2*v + d*v = 4 for v. 1 Suppose 5*x = 3*u + 1, -10*x + 11*x - 4*u + 10 = 0. Let b(i) = i - 4. Let d be b(4). Solve d*k - x = k for k. -2 Suppose 14*i - 9*i - 3*i = 0. Suppose w - 7 + 6 = i. Solve -w + 3 = y for y. 2 Suppose -2*p + s + 3 = 0, 2*p - 6 + 12 = 4*s. Let n be (4 - -2) + 0/1. Solve -n*t = -p*t + 9 for t. -3 Suppose 4*r + 8 = 2*w, r + 5 + 7 = 3*w. Let x be 0 - ((-4)/5 - 102/85). Solve r = d + x for d. -2 Let i(z) = z**3 - 2*z**2 + z - 1. Suppose 0*r + 12 = 6*r. Let w be i(r). Solve t - w = -0*t for t. 1 Let z = 119 - 95. Suppose -3*u = -l - 4*l - z, 0 = u - 2*l - 9. Solve 2*i + i = u for i. 1 Suppose -119*z + 18 = -113*z. Solve 2*h + 1 - z = 0 for h. 1 Let q be (-1 - 0)*-475 + -3. Suppose 4*j - q = -172. Suppose -4*a + 0*a + 71 = -3*c, j = 5*a - c. Solve -3*u + 1 + a = 0 for u. 5 Let d = 163 - 160. Solve d*u - 7*u + 12 = 0 for u. 3 Suppose 0*c + 20 = 5*c. Let z = c + -2. Suppose s - z = 2. Solve -3*a = a - s for a. 1 Suppose 12*b = 15*b. Suppose b*z = z. Solve z = o - 0*o + 2 for o. -2 Suppose -h + 0 = 2. Let a(t) = -t**2 + 2. Let l be a(h). Let o be (-6)/(-12) - (-1)/l. Solve -4*d + o*d - 12 = 0 for d. -3 Let u(d) = 2*d**2 - d + 1. Let m be u(-1). Suppose 6 = -m*a + 3*l + 66, 3*a = -l + 45. Solve -b = 4*b + a for b. -3 Let u be ((-20)/(-30))/((-6)/(-153)). Solve -u + 2 = 3*f for f. -5 Suppose -3*v + 3 = -5*k, -4*v = 2*k - k - 4. Let m be (0/v)/((-1)/(-1)). Solve m*g + g - 1 = 0 for g. 1 Let r be (-2)/5*(-19 - -9). Solve 5*o = r*o for o. 0 Let i be (-2)/10 + ((-344)/(-20))/1. Solve -5*h = i + 8 for h. -5 Let o be 7*2/(-56)*-4. Let d be 20/4 - 4 - o. Solve -2*x = -d*x for x. 0 Suppose 2*g - 8 = -4. Suppose -16 = 3*c - 5*c. Let p = 8 - c. Solve p*a = g*a for a. 0 Let d be (4/(-1) - -9)*3/5. Solve -14 + 11 = d*g for g. -1 Let i(h) = -16*h**2 - h. Let r be i(-1). Let s(w) = -2*w - 27. Let t be s(r). Solve -12 - t = -3*z for z. 5 Let w be (-24)/(-42) + (-328)/(-14). Let a be (5 - -1) + (-1 - 0). Suppose a*j - 34 = -3*n, 4*j + 3*n = w + 5. Solve -j*t = -14 + 4 for t. 2 Let v be 3*5/(75/20). Let x = 12 - 12. Solve v*r = -x*r + 8 for r. 2 Suppose y = -2*y - 6. Let v(l) be the first derivative of 4*l**3/3 + 2*l**2 + 2*l - 1. Let b be v(y). Solve 0 = 2*q - b for q. 5 Suppose -3*a = 2*x + 6 - 5, 5*x = -a + 17. Solve -4*d = -8*d - x for d. -1 Let h(n) = -6*n + 114. Let a be h(19). Let x = 14 + -9. Suppose a = -4*s + x*s - 2. Solve -v = -s*v + 4 for v. 4 Let v(h) = h**2 + 22*h - 73. Let l be v(-25). Let x be 27*((-8)/(-6) - 1). Let f = -6 + x. Solve l*a - 5 = f for a. 4 Let l(q) = -q - 2. Let k be l(-5). Suppose 6*b - 3*b = -k*b. Solve 0 = 2*g - b*g for g. 0 Suppose -d = 4*i + d + 38, -4 = 2*i + 4*d. Let w be -6*(i/(-4))/(-6). Let z be 0/(-1) - (0 - 20). Solve -w*u + 7*u - z = 0 for u. 5 Suppose -6*y - 13 = -43. Suppose 2*f = 3*f - y. Solve -2 = -f*u + 3*u for u. 1 Let f = -318 - -331. Solve 15*j = f*j + 2 for j. 1 Let j(v) = 4*v + 1. Let l be j(2). Solve r + l = -2*r for r. -3 Let n = -80 - -26. Let y be 3/4*(-72)/n. Let c be 4*(0 - (y - 2)). Solve c*o = 2 - 22 for o. -5 Let r = 240 + -238. Suppose 2 + 2 = g. Solve -c = r - g for c. 2 Suppose -z - 5*z = -66. Let h = -9 + z. Solve 3*s + h*s = -15 for s. -3 Let r = 130 + -73. Let u = 77 - r. Solve -13*l = -8*l + u for l. -4 Let c = -441 - -445. Solve -9*k + c = -5*k for k. 1 Let u be 2/(-7) + 1988/98 + -4. Solve 8*v = u*v - 40 for v. 5 Let r(t) = 50*t. Let w be r(-1). Let k be (1 - 0)/((-10)/w). Solve -8 + 3 = -k*j for j. 1 Let v be ((-24)/(-96))/(4/112). Solve -v*a = -a for a. 0 Suppose -4*m = -m - f - 163, 2*m - f = 108. Let n = m - 38. Let i be 14/8 - n/(-68). Solve -4 = -i*k - 0*k for k. 2 Let c be 80/20 + (15 - -1). Suppose 4*s = -c, 5*l - 4*s - 18 = 17. Solve -3*b - 15 + l = 0 for b. -4 Suppose -c + 5*l = 0, 0 = -c + 2*c - 3*l - 2. Suppose 0 = 2*y + c*z - 23, 4*y + 20 = 6*y + 4*z. Suppose 8 = -y*m + 24. Solve 0 = -r - m*r + 10 for r. 2 Let t be (284/(-5))/((-11)/(-55)). Let n = -158 - t. Suppose 7*k = k + n. Solve 4*c = -k + 1 for c. -5 Suppose -2*i + 14 = 3*f, 3*f + 2*i - 34 = 4*i. Let c(j) = -24 - j**3 + 24 - f*j**2 - 7*j. Let y be c(-7). Solve q + y = -1 for q. -1 Let a = -3 + 7. Let l = -10 + 23. Suppose -5*x + 8 = 5*b - 7, -l = -4*x - 5*b. Solve -a*r - 6 = x for r. -2 Let h = -1404 + 1407. Solve 5 = -h*y + 4*y for y. 5 Let o(s) = 2*s**2 - 13*s - 21. Let x be o(8). Solve -7*p - x = -8*p for p. 3 Let v be 2710/45 - (-6)/(-27). Let r be (4/(-6))/((-8)/v). Suppose -k = -r*k. Solve -2*n + n - 4 = k for n. -4 Suppose 3*s + 3*x - 22 = 29, 4*x
{ "pile_set_name": "DM Mathematics" }
= 16*k + 6332 - 6460 for k. 8 Solve -82*k = -604 - 141 + 171 for k. 7 Solve -3244 = -264*b + 2828 for b. 23 Solve -54*o - 3 = -327 for o. 6 Solve -21*m + 114 - 38 + 92 = 0 for m. 8 Solve -31*i + 48 = 95 - 140 for i. 3 Solve -2851*w + 2771*w - 1520 = 0 for w. -19 Solve 380 = -922*o + 977*o - 445 for o. 15 Solve 224 = 25*a + 77 - 278 for a. 17 Solve 76 + 74 = -795*r + 780*r for r. -10 Solve 7*h - 13 - 6 = 2 for h. 3 Solve -66*c + 3036 = 50*c + 22*c for c. 22 Solve 0 = 6*a + a - 119 for a. 17 Solve 0 = 48*a - 992 + 1904 for a. -19 Solve -671 + 191 = 160*b for b. -3 Solve 42 = -198*k + 196*k for k. -21 Solve -40*p - 256 = -84*p + 316 for p. 13 Solve -561 = -4*c - 605 for c. -11 Solve 122*g + 648*g + 16625 = -105*g for g. -19 Solve -101*j + 285 = 99*j - 1115 for j. 7 Solve -210938*q - 219 - 264 = -210917*q for q. -23 Solve -3237 = -h + 179*h + 71*h for h. -13 Solve -71*g - 5*g - 110 = 118 for g. -3 Solve -579*h = -98*h - 1130 - 313 for h. 3 Solve -2778*h + 3960 = -2958*h for h. -22 Solve 24564 = -20*t + 24204 for t. -18 Solve 159 = -6*x + 207 for x. 8 Solve 281*q + 96 = 293*q for q. 8 Solve 197 = -19*o + 271 + 230 for o. 16 Solve -65*x = -56*x for x. 0 Solve -123*a - 2726 + 1373 = 0 for a. -11 Solve -40*b + 2*b - 4021 = -3945 for b. -2 Solve -17*v - 558 + 153 = 10*v for v. -15 Solve -2310 = -282*d + 4740 for d. 25 Solve -46*z - 1337 = -1015 for z. -7 Solve 8*d = -1580 + 562 + 802 for d. -27 Solve 41*o + 70010 = 70010 for o. 0 Solve 88*y = 32*y + 672 for y. 12 Solve 18*v - 21*v - 132 = 30*v for v. -4 Solve -5*b = 28498 - 28543 for b. 9 Solve 323 = 71*j + 46*j - 379 for j. 6 Solve -73 - 114 = -147*s - 40 for s. 1 Solve -64*b + 33*b - 55 = -42*b for b. 5 Solve -6137*x = -6197*x + 960 for x. 16 Solve -144*y + 9106 = 626*y - 8604 for y. 23 Solve -2200*l + 2186*l + 14 = 0 for l. 1 Solve 0 = -3*j + 46*j - 150 + 408 for j. -6 Solve 358*q - 37*q + 5535 = -1206 for q. -21 Solve 4*i - 35*i + 79 = 327 for i. -8 Solve -3298 + 4398 = -275*l for l. -4 Solve 7*m + 6 = -6 + 5 for m. -1 Solve 321 - 902 - 469 = -105*p for p. 10 Solve 3142 - 15870 = 1591*a for a. -8 Solve 34*z + 2862 = -284*z for z. -9 Solve 8*t - 104*t + 1344 = 0 for t. 14 Solve 30*s = -10722 + 11142 for s. 14 Solve 222*h - 161*h = -1525 for h. -25 Solve 370*c + 2*c - 8184 = 0 for c. 22 Solve -76*z + 670 + 1458 = 0 for z. 28 Solve m + m = -7 - 13 for m. -10 Solve 0 = -32*y + 414 + 466 - 848 for y. 1 Solve 163*b - 88*b = -217*b + 10512 for b. 36 Solve 78 = 35*x - 33*x - 80*x for x. -1 Solve 27*w = 26480 - 26561 for w. -3 Solve 1939 = 62*i + 31*i + 637 for i. 14 Solve -28*f + 3 - 30 = 113 for f. -5 Solve 13 = -2*i + 9 - 12 for i. -8 Solve 102*r + 1136 = -29*r + 60*r for r. -16 Solve -17*t + 12*t - 62*t + 469 = 0 for t. 7 Solve 10*j + 24 = -76 for j. -10 Solve 161*r + 177*r = -8112 for r. -24 Solve 19310*k - 270 = 19355*k for k. -6 Solve 263*n - 63 = 252*n + 146 for n. 19 Solve 181*m + 127 + 545 + 233 = 0 for m. -5 Solve -160 = -106*b - 313 - 165 for b. -3 Solve -408*b - 1344 = -492*b for b. 16 Solve 13690*a = 13641*a + 1421 for a. 29 Solve -9748*o + 9771*o = 598 for o. 26 Solve -266*u - 3710 = -110*u + 374*u for u. -7 Solve -314*x + 6130 = 106*x - 2270 for x. 20 Solve -393*t + 682 = 5005 for t. -11 Solve 42*y = 38*y - 16 for y. -4 Solve 0 = -150*d - 82*d - 1472 - 5256 for d. -29 Solve -172*t = -178*t - 66 for t. -11 Solve -4089 = -512*n + 371*n for n. 29 Solve -1287 = -41*m - 136*m + 483 for m. 10 Solve -49035 = -65*t - 50465 for t. -22 Solve 35*g - 160 = -685 for g. -15 Solve 75*m - 30*m - 117 = 32*m for m. 9 Solve 162*t - 10*t - 3800 = 0 for t. 25 Solve 8*y + 5 + 27 = 0 for y. -4 Solve 0 = 73*v - 17*v + 130 - 690 for v. 10 Solve 56*w + 49 = -287 - 112 for w. -8 Solve -1338*f = -1291*f + 799 for f. -17 Solve -1449 = 82*o - 2515 for o. 13 Solve -1753 = -20*p - 1253 for p. 25 Solve 2404*t - 30425 = 1187*t for t. 25 Solve 946*a + 171*a + 39095 = 0 for a. -35 Solve 0 = -105792*v + 105839*v + 752 for v. -16 Solve 42*q + 18 = 79*q - 981 for q. 27 Solve -19*j - 332 + 71 - 100 = 0 for j. -19 Solve 2123*d - 1915*d - 3744 = 0 for d. 18 Solve -178*q = 31*q + 53*q - 1048 for q. 4 Solve -88*l - 123*l = -296*l - 510 for l. -6 Solve 63*k = -1222 + 466 for k. -12 Solve 124 + 42 = 43*w - 393 for w. 13 Solve 2733 + 6285 = -513*y - 2781 for y. -23 Solve -14*o + 1515 = 1683 for o. -12 Solve 2 - 2 = 3*i - 12 for i. 4 Solve 172*q = 2716 + 36 for q. 16 Solve -11*p + 443 - 520 = 0 for p. -7 Solve -744 = -415*z + 7556 for z. 20 Solve -143*p = -40*p + 24*p - 381 for p. 3 Solve -168 = 328*d - 2792 for d. 8 Solve -339 - 321 = 82*y - 16*y for y. -10 Solve -1477 = -220*h + 117*h + 1613 for h. 30 Solve 316*t - 236 = 412 + 932 for t. 5 Solve -5*x + 19*x - 43 = 41 for x. 6 Solve 2462*u + 3029 + 4357 = 0 for u. -3 Solve -150 + 46 = 23*u + 103 for u. -9 Solve -19*v + 123289 = 122985 for v. 16 Solve -68*o + 345 = -12*o + 13*o for o. 5 Solve -85*j = 515 + 80 for j. -7 Solve -138*n - 560 = -82*n for n. -10 Solve 0 = 6*l + 78413 - 78545 for l. 22 Solve 39181*i - 5 = 39197*i - 325 for i. 20 Solve -2421 - 3981 = 582*k for k. -11 Solve -88*m - 312 = m + 67*m for m. -2 Solve 98*c = 18*c - 13*c for c. 0 Solve 0 = -1852*l + 1795*l + 627 for l. 11 Solve -467 = 28*m - 271 for m. -7 Solve -254*m - 21 = -275*m for m. 1 Solve -488*r - 2 + 6 = -492*r for r. -1 Solve 27*n - 192 - 78 = 0 for n. 10 Solve 272*k + 594 = 206*k for k. -9 Solve -130*c - 238 = -3*c - 2270 for c. 16 Solve 0 = 1427*l + 1410*l - 2795*l - 588 for l. 14 Solve -7*o = -23*o - 4*o - 60 for o. -3 Solve 321*q - 898*q - 1099 = 55 for q. -2 Solve 2*u = -2*u - 2 - 6 for u. -2 Solve -294 = -138*i - 9*i for i. 2 Solve -327*d + 3925 = -75*d - 359 for d. 17 Solve 850 = 89*y - 4*y for y. 10 Solve 92*c - 47 - 30 = 103*c for c. -7 Solve -407*i = -93*i - 314 for i. 1 Solve -16050 = -802*k + 16030 for k. 40 Solve -2*u + 60 = -2*u - 20*u for u. -3 Solve -745*l + 152 = -723*l - 178 for l. 15 Solve 189*d = 225*d + 36 for d. -1 Solve -21*m + 568 - 1300 = -417 for m. -15 Solve 0 = -2662*c + 1861*c + 20025 for c. 25 Solve 558*v - 2119 - 2903 = 0 for v. 9 Solve 3*u + 136470 = 136464 for u. -2 Solve 275*v + 271*v = 544*v - 14 for v. -7 Solve -2538 = 30*h - 2148 for h. -13 Solve -2225 = 212*f + 25*f - 566 for f. -7 Solve 42 = -129*h + 122*h for h. -6 Solve 2*q - 8683 = 7*q - 8598 for q. -17 Solve -485*q + 138 = 496*q - 912*q for q. 2 Solve -126*d + 276 = -3126 for d. 27 Solve 94*t - 57*t - 111 = 0 for t. 3 Solve 38*l = 124*l + 92*l + 1780 for l. -10 Solve -278*z - 272*z = -462*z + 1496 for z. -17 Solve -1754 - 586 = -130*x for x. 18 Solve 438*t - 418*t = -260 for t. -13 Solve 0 = -244*w + 242*w for w. 0 Solve 47*j - 98 = 235 - 51 for j. 6 Solve 1416 = -53*u - 124*u for u. -8 Solve -4633 = 19*t - 4937 for t. 16 Solve 610 + 1307 = -119*y + 608 for y. -11 Solve 540*v - 13144 - 356 = 0 for v. 25 Solve -4827 = 818*t + 3923 + 1884 for t. -13 Solve 91*r - 42*r = -161*r + 2730 for r. 13 Solve 6378*i + 8 = 6386*i for i. 1 Solve -346*a - 44*a + 20995 - 5785 = 0 for a. 39 Solve -28*m - 29*m + 74 = -97 for m. 3 Solve -1366*n + 1317*n = -294 for n. 6 Solve 61*r + 952 - 269 = -476 for r. -19 Solve -7*f = 9*f + 112 for f. -7 Solve -270*z - 111*z + 12418 + 917 = 0 for z. 35 Solve -5*o + 100 = 95 for o. 1 Solve 2171*s - 2186*s + 234 = -171 for s. 27 Solve -4091*h + 4084*h = 0 for h. 0 Solve 19*r = 21*r - 16*r + 112 for r. 8 Solve 3*m + 11*m = -9*m - 46 for m. -2 Solve -38*b = 91*b - 903 for b. 7 Solve -779*o - 9076 = 408 + 16223 for o. -33 Solve -64*i - 2*i = -150*i - 1008 for i. -12 Solve -71*w = 295*w + 8189 - 869 for w. -20 Solve -18 = -7759*m + 7753*m for m. 3 Solve -12*w + 130*w - 404 = 17*w for w. 4 Solve 206*x = 109*x + 106*x - 234 for x. 26 Solve 30*y - 9*y + 10*y = 93 for y. 3 Solve 144*t = -141*t + 281*t - 68 for t. -17 Solve -170*s = -154*s - 64 for s. 4 Solve -384 = -7*m - 244 for m. 20 Solve 96111*w = 96100*w - 44 for w. -4 Solve 105*u + 1267 = 322 for u. -9 Solve -23*f + 60*f + 80 + 253 = 0 for f. -9 Solve -10*r - 8316 = 386*r for r. -21 Solve -12*k - 30*k + 490 = 7*k for k. 10 Solve -133 + 45 = -54*w + 74 for w. 3 Solve 14*u + 24*u - 676 = 160 for u. 22 Solve 1064*g - 1034*g = -180 for g. -6 Solve 0 = -29*r + 311 - 224 for r. 3 Solve -82*u - 76*u = 28*u - 3720 for u. 20 Solve 1018*q = 1027*q + 156 + 141
{ "pile_set_name": "DM Mathematics" }
= -13*g**3 - 9*g**2 - 9*g - 43. Let m(d) = -9*b(d) + 2*l(d). Does 4 divide m(0)? False Let d = -37 + 62. Let r be (-1)/1*-1 - d. Is 12 a factor of (-1)/(-2 - 46/r)? True Let k(n) = 3*n**2 - 3*n - 4. Let p be k(-3). Suppose -p = -3*d + 34. Does 6 divide d? False Let j(w) = w**3 - 11*w**2 - 2*w - 6. Let i(r) = r**2 - 4*r + 12. Let d be i(4). Does 38 divide j(d)? True Suppose 0 = 5*n + 10, -4*n = -5*s - 4 + 2. Is 2 a factor of -1*(s + 1 + -5)? True Let r be (7 - -36)/(1 + 0). Let n = -7 + r. Is n a multiple of 10? False Let h(f) = 65*f + 1. Is h(2) a multiple of 16? False Let b be (-1 - 12/(-20))*-20. Suppose b = 4*c - 3*c. Is c a multiple of 2? True Suppose 5 + 13 = 3*w. Suppose -18 = -2*v + w. Is v a multiple of 6? True Is 32 a factor of 32 - (-4 + 4)/3? True Let x(z) = 3*z**2 + 3*z. Is 12 a factor of x(-5)? True Let r(z) = z**2 - 10*z + 11. Let h be r(8). Suppose -5*s - 39 = -159. Let w = s + h. Is w a multiple of 19? True Suppose 62 = 3*p - 1. Does 7 divide p? True Suppose 2*l - 27 = -5*f + 34, 0 = 2*f - 4*l - 34. Is 4 a factor of f? False Suppose 2*z - 232 = 5*d + 55, 3*z = -2*d + 459. Is 21 a factor of z? False Let y = -76 + 124. Is 12 a factor of y? True Let y(h) = -h**3 - 2*h**2 + 2*h + 1. Let q be y(-2). Let r be 1 + 3/(q + 6). Suppose -5*s = -2*i - 75, -s + 3*s - 36 = r*i. Is 13 a factor of s? True Let y = 119 + -100. Is 3 a factor of y? False Let m(p) be the second derivative of -2*p - 1/12*p**4 + 0 + 14*p**2 + 1/6*p**3. Is m(0) a multiple of 16? False Suppose 5*r = 5*w + 485 - 35, -r + 84 = 2*w. Suppose 0 = 5*g - 12 - r. Suppose -h - 6 = -g. Does 7 divide h? True Let c(s) = -s - 1. Let y be c(6). Let n = y - -12. Let p(r) = -r**3 + 6*r**2 + 3. Does 14 divide p(n)? True Suppose -m = -2*m + 78. Is 13 a factor of m? True Suppose -4*y + 3*y - 4*d = -120, -5*d - 480 = -4*y. Does 40 divide y? True Does 8 divide 200/30*18/4? False Suppose -5*y + 20 = 5. Suppose 1 + 8 = y*b. Is b a multiple of 3? True Let b(g) = 2*g**2 + 4*g + 7. Let u be b(5). Suppose -4*a + 2*a = -5*t + u, -40 = -3*t - 5*a. Does 4 divide t? False Let s be (-1 - -1) + (-96)/(-2). Let o = 68 - s. Is 6 a factor of o? False Let r(v) = -v**3 - v**2 + v + 3. Let f be r(0). Does 16 divide (f/6)/((-4)/(-472))? False Let h(r) = r**2 + 9*r - 9. Let b be h(-8). Let z = b + 65. Let q = 93 - z. Is 15 a factor of q? True Let a(j) = j + 1. Let k be a(-2). Let v = k + 6. Suppose 8*i = 5*i - v*p + 118, 5*p + 170 = 5*i. Is 18 a factor of i? True Let q(v) = -v - 2. Let n be q(-4). Suppose 5*p - 29 = -a, 0*p + 2 = -2*a + n*p. Suppose 252 = a*f + 24. Is f a multiple of 16? False Let v = 113 + 191. Does 19 divide v? True Let i be (-5)/(2 + 15/(-9)). Let d = i - -23. Suppose -11 = -r + 5*g, -2*r + 0*g = 4*g - d. Does 6 divide r? True Let v(h) = 8*h**2 + h - 4. Let b be v(4). Let c = b - 81. Does 30 divide c? False Suppose 0*d = d - 5*j - 15, 30 = -2*d - 5*j. Let b = 10 + d. Suppose -z - 8 = b*n, 0*z + 4*n = z - 10. Is z a multiple of 2? True Let j = 1 - -1. Suppose -v - 2*z - j = -11, -6 = -3*v + z. Is -14*(45/21 - v) a multiple of 6? True Suppose 0 = 3*d - d - 6. Is 3/9 - (-17)/d a multiple of 6? True Let x(l) = 18*l**3 - l**2 - 4*l + 3. Let r be x(2). Suppose -w + 24 = y, -5*y - w + r = w. Is 17 a factor of y? False Suppose -3*b = 14*b - 153. Is 2 a factor of b? False Let z be 3 - (-39)/(6/2). Let l = z + 15. Is l a multiple of 25? False Let o = 59 + -40. Suppose -3*t = 4*i + 2*t, -3*i - 3*t = 3. Let m = o + i. Does 14 divide m? True Suppose 4*c = -4*q + 68, q - 14 = -0*q - 2*c. Suppose 0 = 3*t - 3*u - 60, 2*u - q - 48 = -4*t. Suppose t = -0*a + a. Does 18 divide a? True Suppose -t + 2 = -3*t. Let n(m) = m**2 + 5*m + 3. Let p be n(-4). Does 9 divide t/(1/18*p)? True Let y be (-9)/15 - (-9)/15. Suppose -2*n + 0*n - 18 = -5*b, -b + 2*n = -10. Suppose b*d - 68 = -y*d. Is 12 a factor of d? False Let i(n) = n - 4. Let y be i(8). Suppose 250 = y*t + t. Is t a multiple of 17? False Let r(c) = 2*c**2 - 8*c. Is r(9) a multiple of 10? True Suppose 4*v + 252 = 5*q, q - 4*v + v - 46 = 0. Does 13 divide q? True Suppose h + 2*h = -4*r + 73, r = 4*h - 110. Is h a multiple of 9? True Let g(m) = m**3 - 6*m**2. Let a be g(6). Let z be (a/2)/2 - -3. Suppose z*f - 13 - 2 = 0. Is f even? False Suppose -55 - 261 = -4*d. Is d a multiple of 9? False Suppose 0 = -5*m - 5*d - 45, -m - 2*d - 27 = -7*d. Let w(v) = -4*v**3 - 11*v**2 + 7*v. Let p(j) = -j**3 - j. Let q(b) = -3*p(b) + w(b). Is 12 a factor of q(m)? True Suppose 21 + 19 = 5*w. Let d(k) = k**2 - 6*k + 12. Does 17 divide d(w)? False Suppose 4*u + 14 = -2*b + 2, -2*u = -5*b + 18. Suppose 8*s - 7*s = b. Does 2 divide s? True Let n = 3 + -5. Let q(c) = -2*c - 13*c - 2 + 2*c. Does 9 divide q(n)? False Let n(r) = r**2 + 2*r + 2. Let c be n(-2). Let i = c + -2. Suppose i = b + 3*m - 7, -b - 4*m + 1 = m. Is 8 a factor of b? True Let u(g) = -19*g - 5. Let m(x) = -2*x**2 - x + 1. Let w be m(1). Does 5 divide u(w)? False Let p be (-114)/(-27) - (-6)/(-27). Suppose 0 = 4*f + p*q - 28, f - 28 = -5*q - 1. Suppose -2*m - 5*r + 10*r = -21, 0 = -5*m - f*r + 96. Is m a multiple of 9? True Suppose 0 = y - 5 - 2. Let a = -33 - -47. Suppose a + y = 3*d. Is d a multiple of 3? False Suppose x + 2*z - 12 = -2, 3*x - 38 = -2*z. Suppose 2*h = -n + x, h = -5*n + 5*h. Suppose 4*i + i = -5*y + 85, -5*y + n*i + 67 = 0. Does 5 divide y? True Let u(g) = g + 54. Does 27 divide u(0)? True Suppose -k + 26 + 6 = 0. Is k a multiple of 17? False Let h = 1 - -31. Is 5 a factor of h? False Let u(s) = s**3 + 6*s**2 + 5*s + 1. Let m be u(-4). Suppose v + 0*v - m = 0. Does 6 divide v? False Suppose 42 + 38 = 4*p. Is 5 a factor of p? True Let h(u) = -u**3 + 7*u**2 - 6*u - 3. Let j = 8 - 3. Does 17 divide h(j)? True Suppose -5 = z - 5*h - 27, -5*z - 5*h = 10. Let t = 38 + -36. Suppose 80 = 4*c + 4*k, t = z*k - 2. Is 16 a factor of c? False Let w(p) = 2*p**2 + 4*p - 4. Let i = 14 + -8. Suppose 5*x - i = 9. Is w(x) a multiple of 13? True Let d(c) = -c**3 + 7*c**2 + 2*c - 10. Let q(n) = n**3 - 1. Let g be q(2). Let a be d(g). Suppose -4*f - 2*t - 3*t + 119 = 0, f - 14 = a*t. Is 11 a factor of f? False Suppose -4*f + 27 = -f. Does 9 divide f? True Suppose -478 - 2 = -16*f. Does 2 divide f? True Let n(a) = 11*a - 8. Is 23 a factor of n(7)? True Let t(z) = -4*z - 7. Let b(c) = 13*c**2 - 2*c - 1. Let y be b(-1). Let o = y + -20. Is 17 a factor of t(o)? True Let a(t) = -2*t - 3. Let q(d) = -2*d - 4. Let y(c) = 5*a(c) - 6*q(c). Let m be y(-6). Let n(p) = -p**3 + 2*p**2 + 4*p. Does 11 divide n(m)? True Suppose -f = 2*f. Let b = f + 8. Does 6 divide b? False Suppose -4*n = -2*t + t - 1, -t - 2*n = 1. Let k(q) = -4*q - 1. Let y be k(t). Let s(z) = 12*z - 2. Is 17 a factor of s(y)? True Let k(x) = x**3 + 4*x**2 - 6*x + 7. Let n be k(-6). Let a = -91 - -39. Let v = n - a. Is v a multiple of 9? False Suppose 0*m - 3 = m. Let f be 3/2*(-4)/m. Suppose f*y + 10 = 4*y. Does 2 divide y? False Suppose 9*t = -4*w + 5*t + 184, 5*w + t - 214 = 0. Is 3 a factor of w? True Does 13 divide (-2863)/(-21) - (-10)/15? False Let t(g) be the second derivative of g**4/12 - 7*g**3/6 + 7*g**2/2 - 3*g. Does 11 divide t(8)? False Is ((1584/(-45))/2)/(1/(-10)) a multiple of 22? True Let k(p) = p**3 + 2*p**2 - 2*p. Let t be k(-2). Suppose d - 5*g + 13 + 0 = 0, -4*d + 14 = 2*g. Suppose -i = -d*i + t. Is i a multiple of 3? False Let r = 55 - 19. Is r a multiple of 12? True Does 26 divide (-299)/(-9) - (-4)/(-18)? False Let t(l) = 2*l**2 - 6*l + 28. Is 9 a factor of t(8)? True Let c(r) = 2*r**2 - 2*r. Let j be c(2). Suppose 3 = -j*t + 11. Suppose t*w - 60 = -0*w. Is w a multiple of 10? True Suppose -3*o - 5*s + 68 = 0, -4*s = -1 - 3. Is o/(-14)*12*-1 a multiple of 9? True Let v(r) = 3*r**2 - 3*r - 2. Suppose 3*d = -4*s - 18, -2*s + 0*d = -3*d + 18. Let w(j) = -j - 9. Let x be w(s). Does 9 divide v(x)? False Suppose -5*a = -5*v, 5*v - 6*a = -2*a. Suppose 0*j + 3*j = 189. Suppose 3*l - 63 - j = v. Is l a multiple of 17? False Let z(s) = -48*s**3 + s**2 + 2*s + 1. Does 14 divide z(-1)? False Let k(t) = 14*t + 14. Let n(z) = -5*z - 5. Let c(o) = -6*k(o) - 17*n(o). Suppose -3*l + 39 = -3*b, 4*l - 5*b - 9 - 45 = 0. Is 6 a factor of c(l)? True Is (-3)/7 + 1 + 1030/35 a multiple of 4? False Let x(z) = z**2 + 3. Let y(q) = q**2 + 6*q - 3. Let a be y(-
{ "pile_set_name": "DM Mathematics" }
e -8796 = 47*x - 8655. Let p(a) be the first derivative of a**4/4 - 4*a**2 - 2*a - 2. Calculate p(x). -5 Let m(o) = 10*o**2 - 411496 - 6*o + 24*o + 411503 + o**3. Determine m(-9). -74 Let d(x) = x**3 - 8*x**2 + 11*x - 5. Let k(b) = 28*b - 166. Let m be k(6). Let r be (-5)/10 + 15/m. Calculate d(r). 23 Let n = 143 - 141. Suppose -32 = n*r - 38. Let g(v) = -3 - r*v**2 + 29*v + 3 - 28*v. What is g(3)? -24 Let a(k) be the second derivative of 1/4*k**4 - 17/6*k**3 + 1/120*k**5 + 0*k**2 + 0 + 2*k. Let l(b) be the second derivative of a(b). What is l(-5)? 1 Let c(v) = -v**3 + 18*v**2 - 2*v + 5. Let w(r) = 2*r**2 - 15*r + 46. Let b be w(4). Give c(b). -31 Let y(a) = -a**2 - 14*a + 67. Let t = -3116 - -3099. Calculate y(t). 16 Let r = -1860 - -1862. Let d(g) be the second derivative of -r*g - 7/2*g**2 + 5/6*g**3 + 1/2*g**4 + 0 + 1/20*g**5. Give d(-5). -7 Let j(a) = -15*a**2 - 2*a + 1. Let m be j(1). Let b be (m/(-12))/((-4)/(-132)). Suppose b = 10*x + 4. Let t(n) = n**3 - 3*n**2 - 3*n + 1. What is t(x)? 5 Let d(x) = -44*x + x**2 - 65*x + 191*x + 4 - 71*x. Let t(b) = b**2 - 11*b - 13. Let i be t(11). Calculate d(i). 30 Let y(s) = s**2 + 5*s + 1. Let z(l) = 2*l**2 + 6*l - 1. Let j(h) = -5*y(h) + 4*z(h). Let d(g) = 2*g**2 - g - 8. Let w(o) = -4*d(o) + 3*j(o). Determine w(0). 5 Let p(o) = 7*o**3 + 16*o**2 + 4*o - 11. Let v = -83 + 89. Let z(w) = -20*w**3 - 46*w**2 - 11*w + 32. Let m(j) = v*z(j) + 17*p(j). Calculate m(-4). -3 Suppose -2*f - 2*d = -50, 0 = 5*f + d - 129 + 24. Suppose m = -4*m - f. Let c(j) be the second derivative of -j**4/12 - j**3 - 3*j**2 - j. What is c(m)? 2 Let c = -281 + 286. Suppose c*u = 7*u + 14. Let h(f) = f + 9. Calculate h(u). 2 Let t(y) = y**2 - 3*y - 39. Let j(z) = 25. Let f(i) = -2*j(i) - t(i). Give f(6). -29 Let b = -10833 - -10826. Let o(n) = n**3 + 5*n**2 - 7*n + 43. What is o(b)? -6 Suppose 2*h + 4 = 4*y - 0, -4*h + 2*y - 8 = 0. Let k(j) = -191*j + 5. Let t(m) = 165*m - 4. Let r(a) = -6*k(a) - 7*t(a). What is r(h)? 16 Let s(i) be the third derivative of -i**4/8 + 5*i**3/3 - 86*i**2 + 2*i. Give s(5). -5 Let p(w) = -w - 21. Let c be p(-24). Suppose 0 = -2*l - 1 + c. Let g(i) = -5*i + 3 - l - i**3 - 6*i**2 + 4 - 2. Calculate g(-4). -8 Let j(m) = -m**3 + m**2 + m - 9. Let r be (8 - 8)*(403/65 - 6). Give j(r). -9 Let w(a) = 8975 - 4493 - a**3 - 4488 + 4*a**2 + 3*a. What is w(4)? 6 Let f be ((-16)/10)/(-2 - 48/(-30)). Suppose 0 = -f*d + 4*j + 20, 2*j + 16 + 0 = 5*d. Suppose 2*t + 0 = -d. Let b(m) = -4*m**3 + 2*m**2 - 1. Give b(t). 5 Let n(p) = 2*p**3 + 100*p**2 + 282*p + 5. Let f be n(-47). Suppose -29 + 7 = 2*k. Let r = k + f. Let c(h) = h**3 + 5*h**2 - 6*h - 3. What is c(r)? -3 Let x(w) = w**3 - 7*w**2 - w - 4. Let p be (-24)/60*(-32 - -2). Suppose -5*h = u - 36, 0 = -h + 3*u - 8*u + p. What is x(h)? -11 Let a(w) be the second derivative of -3*w**3/2 - 86*w**2 + 1254*w. Determine a(-21). 17 Let k(l) be the third derivative of -l**7/840 + l**5/120 - l**4/24 + 5*l**3/3 + 78*l**2. Let b(q) be the first derivative of k(q). What is b(1)? -1 Let q(h) = -11*h**3 + 21*h**2 - 6*h - 10. Let i(d) = 7*d**3 - 13*d**2 + 4*d + 7. Let x(g) = 8*i(g) + 5*q(g). Determine x(-3). -18 Let g(o) = -7*o**3 + 6*o**2 + 9*o + 16. Let c(d) = 2*d**3 - 1. Let u(f) = 4*c(f) + g(f). Let r be u(-5). Let x(i) = i**2 + 10*i + 12. What is x(r)? -4 Let j(y) = 2*y - 11. Let p(d) = -d + 2. Let q be 70/(-49) - (54/(-21))/6. Let t(c) = q*p(c) - j(c). Give t(6). 3 Let l be ((56/(-6))/(-7))/((-49)/147). Let i(z) = z**3 + 3*z**2 + 10*z + 10. Determine i(l). -46 Let b(p) = 34*p + 579. Suppose -5*i - 595 = -510. What is b(i)? 1 Let m(z) be the second derivative of -2*z**3/3 + 3*z**2/2 - z - 5778. Let f be 1/(-2) - 15/(-2). Give m(f). -25 Let t(x) be the second derivative of -x**4/12 + x**3 - x + 54. Let y be t(4). Let v(d) = d**2 - 5*d + 11. Calculate v(y). 35 Let q(x) = -463*x - 461*x + 34 - 58 + 926*x. What is q(14)? 4 Let z(v) = -v**3 - 7*v**2 - 4*v - 31. Suppose 3*p + 37 = 3*m + 52, 4*m + p = -30. Calculate z(m). -3 Let g = -53 - -57. Let f(s) = -2*s**2 - 5 + 74306*s - 74304*s + 20*s**3 + g. Calculate f(1). 19 Let l(p) = -p**2 - 155 - 26*p + 0*p**2 + 18*p + 177. What is l(-9)? 13 Let n(g) = g**2 - 1. Let z(i) = -i**3 + 13*i**2 + 3*i - 4. Let w(k) = -k**2 - 7*k + 1. Let l be w(0). Let t(u) = l*z(u) - 5*n(u). Calculate t(8). 25 Let s(p) = -5 + 4 + 2*p**2 - p + 2. Let d be s(0). Let w(a) = 2 - 2 + 4*a. What is w(d)? 4 Let l(h) = 8*h**3 - 6 - 7*h**2 - 7*h**3 + 10*h**2 + 7*h**2 - 13*h. Determine l(-11). 16 Let t(m) = m**2 + 8*m - 12. Let h = 97 + -78. Suppose h = -4*v - 1. Let a(d) = 7*d + 25. Let k be a(v). Determine t(k). 8 Let p(m) = 63413*m**2 + 7 - 4*m + m**3 - 63406*m**2 - 2. Determine p(-7). 33 Let u(l) = l**2 + l - 15. Let d = -10873 - -10864. Determine u(d). 57 Let r(x) be the second derivative of -x**5/20 + 7*x**4/12 - x**3/6 - x**2/2 - 2*x. Let p = 484 - 462. Let g be (-2*(-12)/22)/(p/121). Calculate r(g). 29 Let a(o) = 2*o - 3. Let t(k) = 5*k - 224. Let z be t(46). Suppose -2*i + z*i = j - 6, -2*j = i - 3. What is a(j)? 1 Let v(j) = -j**2 + 3*j. Let y(n) be the third derivative of n**5/20 - n**4/3 + n**3/2 - 32*n**2. Let c(h) = -2*v(h) - y(h). Let b = -5 + 10. What is c(b)? -18 Let x(g) be the first derivative of -g**2/2 - 16*g + 2827. Determine x(-15). -1 Let p(c) = -5*c**3 - 11*c**2 + 9*c + 8. Let l(u) = -u + 24. Let h be l(18). Let r(j) = -4*j**3 - 9*j**2 + 8*j + 7. Let d(g) = h*r(g) - 5*p(g). What is d(-2)? -8 Let v(y) be the first derivative of y - y**2 - 1/4*y**4 + 16 + 5/3*y**3. Suppose 4*u - 5*g - 2 - 38 = 0, -5*g = 2*u + 10. Give v(u). -9 Let m(g) = -6*g - 69*g**3 - 7*g**2 + 229 + 68*g**3 - 225. Let h(x) = x**3 + 7*x**2 + 7*x + 4. Let p be h(-6). Let s be ((-3)/(-2) + p)*12. Determine m(s). 4 Let y(t) = 24*t + 16. Let u(h) = h**2 + h + 12. Let n(d) = 3*u(d) - y(d). Determine n(7). 20 Let z(b) = 2 + 26*b**2 - 4*b**2 - 26*b**2. Calculate z(0). 2 Let a be (-231)/132 + (-43)/(-4). Let r(d) = -d**3 + 10*d**2 - 7*d - 12. Calculate r(a). 6 Let k(y) = -2*y + 13. Suppose 28*u + 10 = 30*u. Suppose 10 = 5*b - 5, u*g - 4*b = -47. Let x(c) = 5*c - 25. Let f(a) = g*k(a) - 3*x(a). Determine f(0). -16 Let z = -466 + 468. Let p(w) = 4*w**z + 2034 - 7*w - 5*w**2 - 2033. Determine p(-9). -17 Let c(h) = -17*h**3 - 4*h**2 - 21 + 1426*h - 1426*h + 16*h**3. What is c(-4)? -21 Let b be ((-9)/(-324))/(207/(-27) - -8). Let a(m) be the second derivative of 2*m + b*m**4 + 11/6*m**3 + 0 - 9/2*m**2. What is a(-10)? -19 Let t(y) be the third derivative of y**5/10 - y**4/24 - y**3/2 - 338*y**2 - 1. Calculate t(-2). 23 Let k(d) be the third derivative of 0 - 1/8*d**4 + 249*d**2 + 0*d - 11/3*d**3. Calculate k(-9). 5 Let a(i) = -7*i**3 + 13*i**2 - 16*i - 9. Let t(o) = -9*o**3 + 15*o**2 - 18*o - 12. Let j(b) = -5*a(b) + 4*t(b). Calculate j(-7). 39 Let w(i) = 4*i**2 - 5*i + 33. Let q be w(4). Let o = q - 66. Let v(b) = b**2 - 11*b - 3. Calculate v(o). -3 Suppose 0 = -79*l - 438 - 431. Let z(x) = -x**2 - 14*x + 2. What is z(l)? 35 Let k(u) = 2*u + 2*u**2 + 1 - 2 - 3 + 1 - 11*u**3 + 13*u**3. Determine k(2). 25 Let u(q) = 8 + 104*q**2 - 105*q**2 + 445*q - 440*q. Calculate u(-2). -6 Let l(o) = -o**3 + 4*o**2 + 9*o - 5. Let w = 640 - 642. Let y be ((-1)/4*w)/(54/540). Determine l(y). 15 Let z(p) = p**2 + 13*p - 24. Suppose 5*g = 20, -c - 378 = -3*g - 354. Calculate z(c). -36 Let t(g) be the second derivative of -g**4/12 + g**3/3 + g**2/2 - 131*g. Suppose -2*m - m = -12. Let l be t(m). Let h(d) = -d**2 - 7*d - 1. What is h(l)? -1 Let u(y) be the first derivative of -y**4/2 + 4*y**3 - y**2 - 9*y + 2842. Give u(6). -21 Let n(b) be the first derivative of b**4/4 + 32*b**3/3 + 87*b**2/2 + 22*b + 5370. Calculate n(-29). 22 Let x(q) = q**2 + 6*q + 6. Suppose 2*a = -a + 4*n + 301, 5*n = -a + 75. Let b = 90 - a. Give x(b). 1 Let u(n) = n**3 + 26*n**2 + 108*n + 68. Let d(f) = -2*f**2 - 6*f - 1. Let b be d(-5). Let w be u(b). Let s(l) = -7 - l**2 - 2*l + 2*l + 6*l. What is s(w)? -2 Suppose 3*z + z - 48 = 0. Let i(l) = 46 + 12*l + 46*l**3 - 45*l**3 - 40 - 13*l**2. Calculate i(z). 6 Let a(l) = l**2 - 61. Suppose 0 = 5*w + 2*p + 61, -36 - 41 = 5*w + 4*p. Give a(w). 20 Let c(o) = -o**3 + 1558*o**2 + 0 - 774*o**2 - 17*o - 774*o**2 + 2. What is c(3)? 14 Let l(y) = y**2 - 6*y - 20. Let x be (-2)/14 + -423*(
{ "pile_set_name": "DM Mathematics" }
ose -4*l + 3 + 4 = a, -2*a + 2 = 4*l. Let m = 14 + a. Let y(j) = -j**3 + 16*j**2 + 2*j + 1. Is y(m) a composite number? True Let m = -84 - -85. Is -1574*(m/(-6))/(8/24) a composite number? False Suppose -3*i = 3*h - 10794, -3*i + 7231 = -i - 5*h. Is i a composite number? True Is 26506/14 - -4*(-4)/56 a prime number? False Let b = -3169 - -7370. Is b prime? True Let a = 2058 - 884. Let z = a + -543. Is z composite? False Suppose 2770 = -4*i + 6*i. Is i a composite number? True Suppose 0 = 2*i - 4*f - 2 - 0, -2*i + f + 2 = 0. Is (210 + 5)/(i/1) composite? True Let r(d) = 290*d - 80. Let s(x) = 96*x - 27. Let k(f) = 4*r(f) - 11*s(f). Is k(21) prime? True Let b(w) = 23*w**2 + 73*w + 31. Is b(36) composite? False Suppose 4*c + 5*d - 53748 = c, 2*c + 2*d - 35836 = 0. Is c a composite number? False Suppose 0 = 3*q + 2*q. Suppose -4*m - 4*n + 861 + 1111 = 0, m - 2*n - 487 = q. Is m a composite number? False Let a be (4 - -1) + -1 + -2. Let t be (0 - -1) + a - 5. Is (-5 - -3) + t + 101 a prime number? True Let u = -462 + 909. Let g(r) = r**2 - 4*r + 46. Let a be g(19). Suppose -u = -3*o - o - 3*t, 3*o = 2*t + a. Is o a composite number? True Let x be 6/5*(-500)/(-15). Let w(o) = x + 175 + 54 + o**2. Is w(0) a composite number? False Let q be 30/(10/(-2))*(-2)/6. Suppose 10 - 96 = -q*d. Is d a composite number? False Suppose -u - 3*u + 16 = 0. Suppose -u*t = -77 - 183. Let x = -46 + t. Is x prime? True Let x(u) = 2*u - 45. Let k be x(22). Is (-41 + -12)*(-29)/(k - -2) prime? False Is -6687*(-40)/15 - (2 + 3) a composite number? False Let v(n) = 2*n - 25. Let r be v(15). Suppose -y + 1542 = r*y. Is y a prime number? True Suppose 12*v - 9108 = 27336. Is v prime? True Let s(w) be the third derivative of 67*w**4/24 + 4*w**3/3 - 2*w**2. Is s(9) a prime number? False Suppose 0 = -2*j + 4*c - 10, -j = -0*j + 3*c - 20. Let q = j - 3. Suppose -q*w + 5*w = 147. Is w a composite number? True Let a = 160 - 292. Is (a/10)/3*-5 a prime number? False Let j(x) = 30*x**3 - 2*x**2 - x - 4. Suppose -4 = -3*k + 5*v, v + 3*v - 19 = -5*k. Is j(k) prime? False Suppose 4*t - 32 = 104. Let m = 65 - t. Is m a prime number? True Suppose -1 = -4*c - 4*r - 33, 0 = 2*c - 3*r + 11. Let y = 13 + c. Let p(i) = 2*i**3 - 8*i**2 - i - 11. Is p(y) prime? True Let a(d) = 4*d**2 + 23*d - 2. Let j be a(-6). Suppose j*y - 6794 = g - 3*g, y - 3399 = -g. Is g prime? False Let m(j) = -j + 17. Let l be m(13). Let k(d) = 7*d**2 + 9*d + 1. Is k(l) a prime number? True Let i(r) be the first derivative of -7*r**2/2 + 1. Suppose -d - 2*y = -11 + 26, -d + y = 0. Is i(d) a prime number? False Let p(n) be the third derivative of 19/2*n**3 + 1/60*n**5 + 0*n + 1/24*n**4 + 0 - 5*n**2. Is p(0) prime? False Suppose 0 = -77*t + 71*t + 12462. Is t a composite number? True Let w(n) be the first derivative of -5*n**4/8 + n**3/6 + 2*n**2 + 2. Let h(t) be the second derivative of w(t). Is h(-7) prime? False Let q(s) = 65*s - 1123. Is q(34) prime? True Let u(g) be the third derivative of -53*g**6/40 + g**5/60 - g**4/12 + 3*g**2. Let s be u(-2). Suppose 4*n - 2*o = s, 0*n + 1601 = 5*n - 3*o. Is n prime? False Let f(g) = -2*g**3 - 3*g**2 + 5*g + 14. Let c be f(-6). Suppose -5*r + c = -r. Is -6*(r/(-2))/7 a composite number? True Suppose 2993 = 4*g - 2707. Suppose -2*w = -g + 139. Suppose 5*d = 3*f + 556, -197 = 4*d - 2*f - w. Is d a composite number? False Suppose -4*l = 5*h - 50, l = 3*h - 2*l - 3. Let k(u) = -1 + 5 - h + 2*u - u + 124*u**2. Is k(1) composite? True Let f(d) = 675*d - 3. Let n be f(1). Let o = -355 + n. Is o a prime number? True Let x(g) = 231*g**2 - 1. Let i be x(-2). Let a = i + -592. Is a a composite number? False Let v = -14104 - -25343. Is v composite? False Let f(c) = 11*c - 113. Let h be f(10). Let d be (1 + 3/(-5))*20. Let k = d - h. Is k prime? True Let k be (-8 + 9)*(4 + -1). Suppose 2*b + 0*b - 12 = -4*a, 12 = 3*b + 4*a. Suppose b = i + 3*v - 177, i + 5*v = -k*i + 708. Is i a prime number? False Let q(g) be the first derivative of -15*g**2 + 31*g - 10. Is q(-6) prime? True Let i(f) = 52658*f**2 - 12*f - 3. Is i(-1) a composite number? False Let r be ((-12)/36)/((-2)/(-78)). Let i = -14 - r. Is (i - 733)*3/(-6) prime? True Let k(x) = -3*x - 1. Let q(w) = 16*w + 6. Let r be 84/8 + (-1)/(-2). Let y(m) = r*k(m) + 2*q(m). Is y(-1) a composite number? False Suppose -2*v = 13*v - 1484835. Is v a prime number? False Suppose 0 = w + 14*w - 156405. Is w prime? True Suppose p = -4*h - 105, -5*h - 3*p + p = 129. Is 3*-3*4101/h a composite number? False Suppose -j - 1 = 2, -5*t = -j - 40953. Suppose 3*v - n - 6298 = 0, 3*v - 4*n = t - 1889. Is v composite? False Suppose -905 = -5*w + 3*u, 0*w = -4*w + 3*u + 721. Suppose 3*y = 682 - w. Is y a composite number? True Let q = 7077 - -3553. Suppose 2*w - q = 3*w. Is w/(-26) + 8/52 a prime number? True Suppose 0 = -2*l + 2*t + t + 11, 3*l = 3*t + 15. Is (-6 - 320/(-24))/(l/6) a composite number? False Let h be -3 - (-24)/((-16)/(-4)). Suppose -t + 46 = 6*c - c, h*t - 21 = -2*c. Is 340/c - (-4)/18 a composite number? True Suppose 0 = 12*y - 93868 - 8144. Is y a prime number? True Let t = -39 - -38. Let i = 30 - 143. Is ((2 + i)/3)/t prime? True Let z = -7 - -11. Suppose 713 = -4*m - 2*n + 2469, n = z*m - 1744. Is m a prime number? False Suppose -4088 = -0*o - 2*o. Suppose 16*z + o = 20*z. Is z a prime number? False Suppose 0*j + 23164 = 4*j + 4*h, 23179 = 4*j - h. Is j composite? True Let m(c) = 63*c**3 - 21*c**2 + 10*c - 23. Is m(7) a composite number? False Is (-42)/(-273) - 14961/(-13) composite? False Suppose -3*y + 383996 = 11*k - 4*y, 5*k + 5*y - 174560 = 0. Is k prime? False Let p = -11038 - -27983. Is p a composite number? True Suppose 0 = -0*d - 3*d + 420. Let i = 219 + d. Is i composite? False Suppose 831 = 5*w - 784. Is w prime? False Let f be (-32)/24*18/4. Let b(z) = 6*z**2 - 13*z + 4. Is b(f) composite? True Let k(q) = 2 + q**3 + 1 - 2*q**2 + 0 + 3. Let m be 3*2 + (-1 - -2). Is k(m) composite? False Is (-1431)/54*1/((-3)/474) composite? True Let y = -51 - -57. Let l = 2 + 1. Is (-262)/l*y/(-4) a composite number? False Suppose 5*z - 20 = 5*x, 2*x = 6*x. Is 382/(-8)*-5*z prime? False Is (88 + 13)/(2/10) composite? True Let c be 15124/(-10) - 12/(-30). Let x be (-10 + c)*(-3)/(-2). Is (3 - 0)*x/(-9) a composite number? False Let s = 23 - 19. Suppose 2*t - 54 = 4*o, 20 + 0 = s*o. Is t a prime number? True Let n(x) = -206*x - 1. Let s(y) = y**2 - 5*y + 4. Let h be s(4). Suppose 2*p - 5 = -5*k - h, 0 = -k - 5*p + 24. Is n(k) prime? False Let w(y) = -y**3 + y. Let k(t) = 188*t**3 - 2*t - 1. Let i(u) = k(u) + 2*w(u). Is i(1) a composite number? True Suppose 2*t - 645259 = -17*t. Is t prime? True Let j = 612 - -1561. Is j prime? False Suppose 3*r + 2*r = 4*s + 6781, -4*s = -4. Is r a composite number? True Let i = 158 + 89. Suppose -m + 48 = w - 2*w, i = 5*m + 2*w. Let n = 248 - m. Is n a composite number? False Suppose 6*l - 2*l - 16 = 0. Suppose -l*y = 0, 3*y = 4*w - w + 6. Is 3 + 46 - -2 - w a prime number? True Let i be (2653/28)/(51/24 - 2). Suppose 2*g - i = -0*g. Is g composite? False Let r(j) = -j + 15. Let o be r(21). Let k(x) = -103*x + 15. Let u(q) = -1. Let c(d) = k(d) - 2*u(d). Is c(o) composite? True Let r(u) be the third derivative of -29*u**4/8 - u**3/6 + 9*u**2. Is r(-4) a composite number? False Suppose -4*q - 11 = 3*c, 4*q + c + 2 = 1. Let z be q/3 - 10/(-6). Suppose -5*a = 0, s = -z*s - 2*a + 2127. Is s composite? False Suppose -5*x + 19 = -3*h, x + 3*x - 3*h - 17 = 0. Suppose -4*m = -2*c + 2, x*c - 3*m - 2 = 1. Suppose -c*z + 6*z = 345. Is z composite? True Let s = -70 - -69. Is (s - -2)*1*(-6 - -155) a prime number? True Let y be (0 + -6)/(12 - 14). Suppose -2*t + y*t = 118. Is t prime? False Let h be 1*(-3 - -1 - 9). Let p(t) = t + 15. Let u be p(h). Is u/5*1290/12 prime? False Let h(l) = l**2 - 2*l - 17. Suppose 7*s - 18 = -67. Is h(s) a composite number? True Let s = 0 + 0. Suppose 0 = -5*x - 3*b, s = 4*x + x - 3*b. Suppose x = -4*y + 301 - 73. Is y prime? False Let u = 26289 + -11128. Is u a prime number? True Suppose -3*v = -5*y - 27, -v = 2*v - 3*y - 21. Suppose 5*d - v*k - 331 = 0, 2*k = -7*d + 4*d + 203. Is d prime? True Let d(s) = -s**2 - 3*s. Let y be d(-5). Let g(f) be the third derivative of -5*f**4/24 + f**3/6 + 10*
{ "pile_set_name": "DM Mathematics" }
5080 and 3160. 40 Calculate the highest common divisor of 92157 and 5004. 417 What is the greatest common divisor of 16908 and 21? 3 Calculate the greatest common factor of 31 and 19499. 31 What is the greatest common factor of 287 and 644? 7 Calculate the highest common divisor of 337322 and 2972. 1486 Calculate the greatest common factor of 168 and 47432. 56 Calculate the highest common divisor of 18 and 39834. 18 What is the highest common divisor of 368 and 21321? 23 What is the greatest common factor of 4243 and 1? 1 What is the highest common divisor of 72256 and 96? 32 What is the greatest common factor of 48352 and 96? 32 What is the greatest common divisor of 556015 and 305? 305 What is the greatest common divisor of 15543 and 628? 157 Calculate the highest common factor of 1159 and 183. 61 What is the highest common factor of 20 and 3886260? 20 Calculate the highest common factor of 40769 and 472. 59 Calculate the greatest common factor of 50416 and 1012. 92 What is the highest common divisor of 8023 and 1921? 113 Calculate the greatest common divisor of 439307 and 11. 11 Calculate the highest common factor of 5175 and 2300. 575 What is the highest common factor of 1500 and 203100? 300 What is the highest common factor of 1965999 and 1071? 357 What is the highest common factor of 160 and 43270? 10 Calculate the greatest common factor of 742570 and 40. 10 What is the highest common divisor of 198 and 149886? 198 Calculate the greatest common factor of 10204305 and 1095. 1095 What is the greatest common divisor of 28 and 93212? 28 What is the highest common divisor of 221 and 66859? 13 What is the highest common factor of 12179314 and 14? 14 What is the greatest common factor of 4845 and 20655? 255 What is the highest common divisor of 1532 and 1183087? 383 What is the greatest common factor of 2 and 25031? 1 Calculate the greatest common factor of 119695 and 481. 37 Calculate the greatest common factor of 1875 and 1425. 75 What is the greatest common divisor of 1401 and 2823482? 467 What is the greatest common divisor of 2548675 and 1940? 485 What is the highest common divisor of 4374 and 5958? 18 What is the highest common divisor of 568 and 776? 8 What is the highest common factor of 30 and 427035? 15 What is the greatest common factor of 4909224 and 86? 86 Calculate the highest common divisor of 75532 and 2463. 821 What is the highest common divisor of 2090 and 935? 55 What is the highest common divisor of 862140 and 24? 12 Calculate the highest common divisor of 25538 and 339. 113 What is the greatest common factor of 320 and 788? 4 What is the greatest common factor of 369399 and 708? 177 What is the greatest common divisor of 128286 and 1494? 18 What is the highest common factor of 364 and 336? 28 What is the highest common factor of 16 and 340552? 8 Calculate the greatest common divisor of 45217 and 412. 103 Calculate the highest common factor of 199332 and 47799. 1017 Calculate the greatest common divisor of 48 and 62208. 48 Calculate the highest common factor of 148 and 12506. 74 What is the greatest common divisor of 1274 and 224? 14 What is the highest common factor of 2249 and 639062? 173 Calculate the greatest common divisor of 11 and 1173. 1 What is the highest common factor of 23 and 4663? 1 Calculate the highest common factor of 27451 and 1415. 283 Calculate the highest common factor of 1240 and 86. 2 What is the highest common factor of 100 and 131050? 50 What is the highest common divisor of 28 and 84245? 7 What is the highest common factor of 4009 and 2321? 211 What is the greatest common factor of 10880 and 4040? 40 Calculate the highest common divisor of 642 and 28034. 214 What is the greatest common divisor of 2244 and 17986? 34 Calculate the highest common factor of 180486 and 18. 18 What is the greatest common divisor of 146 and 216? 2 What is the greatest common factor of 509267 and 6633? 737 Calculate the highest common divisor of 114 and 183. 3 What is the highest common factor of 2156 and 149688? 308 Calculate the greatest common factor of 72 and 2556. 36 Calculate the highest common factor of 10251 and 17889. 201 What is the highest common factor of 3192168 and 840? 168 Calculate the highest common factor of 920 and 63940. 460 Calculate the greatest common factor of 60 and 610360. 20 Calculate the highest common divisor of 1119 and 754579. 373 What is the highest common factor of 40 and 22210? 10 Calculate the greatest common factor of 483825 and 1050. 75 What is the highest common factor of 15390 and 1140? 570 What is the greatest common divisor of 2446 and 5793351? 1223 What is the highest common divisor of 112 and 839616? 16 Calculate the highest common divisor of 128 and 1816. 8 What is the highest common factor of 3408 and 20803? 71 Calculate the highest common divisor of 13 and 5011. 1 Calculate the greatest common factor of 285768 and 41553. 729 Calculate the greatest common factor of 200 and 126640. 40 Calculate the highest common factor of 15 and 55995. 15 What is the highest common divisor of 1173 and 73797? 51 What is the highest common divisor of 11975 and 479? 479 Calculate the greatest common divisor of 31356 and 8528. 52 Calculate the highest common divisor of 381125 and 50. 25 What is the highest common divisor of 118 and 999106? 118 What is the greatest common factor of 1017 and 2250? 9 What is the highest common factor of 140 and 14805? 35 What is the greatest common factor of 984 and 3348? 12 Calculate the greatest common divisor of 1965 and 135. 15 Calculate the greatest common divisor of 1698 and 401860. 566 What is the highest common divisor of 17 and 200821? 17 What is the greatest common factor of 170445 and 5? 5 Calculate the highest common factor of 106673 and 51107. 343 Calculate the highest common factor of 1442348 and 340. 68 What is the highest common divisor of 299 and 1391? 13 What is the highest common factor of 352 and 154528? 352 What is the highest common divisor of 988 and 20235? 19 What is the highest common divisor of 19629 and 405? 27 Calculate the highest common factor of 571536 and 1064. 56 What is the highest common divisor of 9042 and 3? 3 Calculate the highest common divisor of 7932 and 12. 12 Calculate the greatest common factor of 1100 and 539. 11 Calculate the greatest common divisor of 9777060 and 522. 522 What is the greatest common factor of 665280 and 704? 704 What is the greatest common factor of 1691 and 133? 19 What is the highest common divisor of 253 and 3887? 23 Calculate the highest common factor of 102598 and 258. 86 What is the highest common factor of 9408 and 10176? 192 Calculate the greatest common factor of 218187 and 27. 27 Calculate the greatest common factor of 7952 and 26838. 994 Calculate the highest common divisor of 450 and 14985. 45 What is the highest common divisor of 165302 and 2? 2 What is the highest common factor of 13 and 986180? 13 What is the greatest common divisor of 3933 and 75601? 437 What is the greatest common factor of 90 and 8406? 18 Calculate the highest common factor of 158 and 1029923. 79 What is the greatest common divisor of 15925962 and 1146? 1146 Calculate the greatest common divisor of 218 and 121426. 218 What is the greatest common factor of 402 and 172994? 134 What is the greatest common divisor of 6288 and 1488? 48 Calculate the highest common factor of 11286 and 85158. 1026 What is the highest common divisor of 1917 and 3573? 9 Calculate the highest common divisor of 68013 and 5643. 297 What is the greatest common factor of 1727239 and 5272? 659 Calculate the highest common factor of 51480 and 3696. 264 What is the greatest common factor of 192 and 5640? 24 Calculate the greatest common divisor of 493 and 191081. 29 Calculate the greatest common factor of 20864 and 1408. 128 What is the greatest common factor of 772 and 256? 4 What is the highest common factor of 30960 and 90? 90 What is the highest common factor of 8840 and 78? 26 Calculate the greatest common factor of 7412 and 68. 68 What is the highest common factor of 20 and 112160? 20 What is the greatest common factor of 156068 and 484? 44 What is the highest common factor of 4016194 and 182? 182 What is the highest common divisor of 3330 and 2
{ "pile_set_name": "DM Mathematics" }
or of 38370205 and 92890? 6635 What is the greatest common factor of 3397 and 44566507? 79 What is the greatest common factor of 504805 and 2051? 7 Calculate the highest common divisor of 4666350456 and 18. 18 What is the highest common factor of 79679682 and 46? 46 What is the highest common divisor of 36 and 281680974? 18 Calculate the greatest common factor of 939378 and 167442. 2838 What is the highest common factor of 341 and 122426471? 31 Calculate the greatest common factor of 18511 and 3807211. 173 What is the greatest common factor of 536580 and 46530? 990 What is the greatest common factor of 355576 and 13413? 263 What is the greatest common factor of 129659 and 6715? 17 Calculate the highest common divisor of 3 and 27880552. 1 What is the highest common factor of 18369176 and 70? 14 What is the greatest common factor of 1323 and 5703894? 441 Calculate the greatest common factor of 6432 and 164584696. 536 What is the highest common factor of 163278 and 1639548? 846 Calculate the highest common divisor of 12760 and 130993. 29 Calculate the highest common divisor of 2895097 and 5805312. 7559 What is the greatest common divisor of 24260 and 47292444? 4852 What is the greatest common divisor of 5621 and 71204? 7 Calculate the highest common factor of 440 and 77972840. 440 Calculate the greatest common divisor of 3709314 and 40824. 1134 Calculate the greatest common divisor of 52692 and 192132. 12 Calculate the greatest common divisor of 20573820 and 100. 20 What is the highest common factor of 117973961 and 7? 7 Calculate the greatest common factor of 19890346 and 261. 29 Calculate the highest common divisor of 238 and 21498914. 34 Calculate the greatest common factor of 2795 and 1160785. 215 What is the highest common factor of 371619 and 11147? 157 What is the greatest common divisor of 297642 and 34578? 678 Calculate the greatest common divisor of 1903225501 and 31. 31 Calculate the greatest common divisor of 13392 and 99276. 12 Calculate the greatest common divisor of 5115 and 555529920. 5115 What is the greatest common factor of 18585 and 114831? 9 What is the highest common divisor of 9936274 and 6034? 862 Calculate the greatest common factor of 11309860 and 1440. 20 Calculate the highest common divisor of 2458918 and 2387. 77 Calculate the greatest common factor of 2409 and 68170101. 219 Calculate the greatest common divisor of 124320 and 1553160. 840 Calculate the greatest common divisor of 405 and 22522745. 5 What is the highest common divisor of 711 and 272960721? 711 Calculate the greatest common divisor of 185047 and 621793. 877 What is the highest common factor of 35 and 738458? 7 What is the highest common divisor of 705242408 and 9256? 9256 What is the highest common divisor of 11832 and 1255758? 174 Calculate the greatest common factor of 3 and 16450635. 3 What is the greatest common factor of 26202512 and 33152? 4144 Calculate the greatest common divisor of 206586 and 125. 1 Calculate the greatest common divisor of 2714915 and 4585. 35 Calculate the highest common factor of 693 and 2603293. 77 Calculate the greatest common divisor of 1633982 and 1834896. 1778 Calculate the greatest common factor of 7702330 and 136. 2 What is the highest common factor of 78 and 1067142? 6 What is the highest common factor of 301056 and 171402? 294 Calculate the greatest common factor of 34816125 and 2454. 1227 What is the highest common divisor of 84 and 72354376? 4 Calculate the greatest common divisor of 1347258 and 337568. 3014 What is the greatest common divisor of 2901330 and 3510? 90 What is the highest common factor of 256 and 1201040? 16 What is the highest common divisor of 36096 and 2472294? 282 What is the greatest common factor of 1404 and 19736? 4 What is the highest common factor of 3419975 and 34255? 1105 What is the highest common factor of 32 and 1486164912? 16 What is the highest common divisor of 16 and 54276416? 16 Calculate the greatest common factor of 64643 and 9628244. 509 What is the highest common divisor of 8737890 and 14910? 210 Calculate the highest common factor of 124628660 and 5655. 1885 Calculate the highest common factor of 8 and 1085658136. 8 What is the greatest common factor of 1581423 and 19479? 453 Calculate the greatest common divisor of 53 and 247808019. 53 Calculate the greatest common factor of 4285 and 721594. 857 Calculate the highest common divisor of 255271 and 34142. 397 Calculate the highest common divisor of 7 and 871545. 1 Calculate the greatest common factor of 17766 and 17118. 54 What is the greatest common factor of 1050 and 4742150? 350 Calculate the highest common factor of 173798 and 29212. 134 Calculate the highest common divisor of 3 and 96369477. 3 Calculate the highest common divisor of 27952 and 7776. 16 Calculate the highest common factor of 7995 and 9746971. 533 Calculate the highest common divisor of 23501 and 183043. 331 Calculate the greatest common factor of 36126 and 1311. 3 What is the greatest common divisor of 2180414 and 61978? 466 What is the greatest common factor of 4280 and 34795972? 428 What is the highest common divisor of 88 and 959999546? 22 What is the greatest common factor of 845794156 and 4? 4 What is the greatest common divisor of 21823980 and 8178? 282 Calculate the highest common divisor of 919010 and 15521762. 6338 What is the highest common factor of 31328613 and 63423? 2349 Calculate the highest common factor of 14965 and 7755355. 205 Calculate the greatest common divisor of 70 and 1069516. 14 Calculate the highest common divisor of 1157832 and 4446. 234 What is the greatest common factor of 23305 and 7550030? 395 Calculate the greatest common factor of 6239 and 219181. 17 What is the highest common divisor of 1480 and 14331210? 370 Calculate the highest common factor of 154 and 1179926. 22 What is the greatest common factor of 1032240 and 426690? 330 Calculate the highest common factor of 3564 and 1898644. 44 Calculate the highest common factor of 16896 and 1480704. 1536 What is the greatest common factor of 281010 and 215832? 102 What is the highest common factor of 300 and 1869825? 75 What is the highest common factor of 168 and 27804546? 42 What is the highest common divisor of 459 and 3093579? 27 Calculate the highest common factor of 36306 and 40860. 18 What is the greatest common divisor of 4368 and 2737456? 16 What is the highest common factor of 96 and 77522048? 32 What is the greatest common divisor of 14 and 142361569? 7 Calculate the greatest common factor of 70 and 628470. 10 Calculate the greatest common factor of 174079490 and 884. 442 What is the greatest common divisor of 31845216 and 51072? 1824 What is the highest common factor of 2509 and 56303311? 193 Calculate the greatest common divisor of 1823531126 and 46. 46 Calculate the greatest common factor of 6449 and 115585427. 6449 What is the highest common divisor of 1232 and 479047184? 1232 Calculate the greatest common factor of 51 and 13783073. 17 What is the greatest common divisor of 889 and 899287? 127 What is the highest common factor of 2990095 and 919625? 5255 Calculate the greatest common factor of 2275543 and 2320. 29 Calculate the highest common factor of 42996112 and 32. 16 Calculate the greatest common divisor of 21 and 3030111. 21 What is the greatest common divisor of 20520 and 4927080? 2280 What is the greatest common divisor of 4400 and 7425200? 400 Calculate the greatest common factor of 2268 and 62021484. 756 What is the greatest common factor of 80111137 and 58? 29 What is the greatest common divisor of 6032 and 1995838? 754 What is the greatest common factor of 30981 and 356224? 23 Calculate the highest common divisor of 30097 and 25. 1 Calculate the highest common divisor of 8366490 and 66. 66 Calculate the highest common factor of 44 and 10924306. 2 What is the highest common divisor of 350 and 8025800? 50 What is the greatest common divisor of 9573148 and 3055? 611 Calculate the highest common factor of 50802822 and 42. 42 Calculate the highest common factor of 82503 and 21733. 103 What is the greatest common divisor of 288 and 188739? 9 What is the greatest common divisor of 405168 and 2469648? 1104 What is the greatest common factor of 1580796100 and
{ "pile_set_name": "DM Mathematics" }
he first derivative of 35*m**4/4 - 11*m**3/3 + 9. What is the third derivative of d(l) wrt l? 210 Let d(r) = r**2 + r - 1. Let i be d(2). Find the second derivative of -8*y - i*y - 3*y**4 + 8*y wrt y. -36*y**2 Let g(z) be the first derivative of -z**7/210 + 7*z**5/60 - z**2 + 1. Let i(p) be the second derivative of g(p). What is the third derivative of i(k) wrt k? -24*k Let j = -14 - -17. Differentiate 3*q - j + 2*q - 2 wrt q. 5 Let b(d) = -84*d**2 + 58. Let g(u) = 125*u**2 - 87. Let i(f) = -8*b(f) - 5*g(f). Differentiate i(k) wrt k. 94*k Let z(g) = -56*g + 6. Let l(y) = 19*y - 2. Let f(p) = -11*l(p) - 4*z(p). What is the derivative of f(c) wrt c? 15 Let x(y) be the first derivative of 0*y - 1/6*y**6 + 0*y**3 - 3*y**2 + 0*y**4 + 7 + 0*y**5. Find the second derivative of x(o) wrt o. -20*o**3 Let n(b) = -22*b**3 - 3*b**2 + 31*b. Let l(i) = -44*i**3 - 7*i**2 + 62*i. Let t(v) = -3*l(v) + 7*n(v). Find the second derivative of t(h) wrt h. -132*h Let r(v) = -24*v**3 + 14*v**2 - 6*v. Let c(u) = -49*u**3 + 29*u**2 - 13*u. Let a(h) = -6*c(h) + 13*r(h). What is the third derivative of a(f) wrt f? -108 Suppose f - 19 = 2*t - 6*t, 12 = 2*t - 2*f. Differentiate t*o**2 - 2 - o**2 + 1 - 8*o**2 wrt o. -8*o Let q = 7 + -4. Find the third derivative of -2*h**2 - 2*h**2 + q*h**6 + 4*h**6 - 4*h**6 wrt h. 360*h**3 Let z(q) = q**2 - 7*q + 3. Let r be z(7). Find the third derivative of -10*f + 5*f**2 - r*f**3 + 10*f wrt f. -18 Let s(p) be the third derivative of -5*p**4/24 - p**3/3 + 6*p**2. Differentiate s(i) with respect to i. -5 Let f(p) = p**2 + 1. Let l be f(-1). What is the third derivative of -3*v**3 + 18*v**2 - 20*v**2 + l*v**3 wrt v? -6 Let y(s) = 4*s**3 + 9*s**2 - 2. Let b(q) = 19*q**3 + 45*q**2 - 11. Let f(c) = -2*b(c) + 11*y(c). What is the third derivative of f(i) wrt i? 36 Let y be ((-4)/14)/(4/(-28)). Suppose 2*g + y*g = 12. What is the first derivative of 0*u**3 + 2*u**3 + 2 - 3 - g wrt u? 6*u**2 Let y(i) be the first derivative of 1 - 3/2*i**2 - i. What is the first derivative of y(k) wrt k? -3 Let d = -11 + 13. What is the third derivative of 6*j**d + 48*j**3 - j**4 - 48*j**3 wrt j? -24*j Suppose 4*f = 2*f + c + 3, -3*f + 9 = -3*c. Let x(p) be the third derivative of 1/3*p**3 - 1/30*p**5 + 0*p - p**2 + 0 + f*p**4. Differentiate x(q) wrt q. -4*q Suppose 6 = 3*w - w. Suppose 0 = w*h + h - 8. Find the first derivative of 3 - 1 + h*t + 0*t wrt t. 2 What is the second derivative of 6*s**4 - 5*s + 0*s + s**4 + 0*s wrt s? 84*s**2 Let b(t) be the first derivative of -t**8/420 - t**5/30 + t**3/3 + 1. Let s(i) be the third derivative of b(i). Find the second derivative of s(p) wrt p. -48*p**2 Let g(m) be the third derivative of 23*m**6/120 - 5*m**4/24 - 5*m**2. What is the second derivative of g(f) wrt f? 138*f Let d(l) be the second derivative of 9*l**3/2 - 9*l**2/2 + 26*l. Differentiate d(g) with respect to g. 27 Find the first derivative of -15 + 6*r + 12*r + 0*r wrt r. 18 Let u(i) be the second derivative of 7*i**6/10 + 3*i**4 - 33*i. What is the third derivative of u(t) wrt t? 504*t Let q(j) = -51*j**4 + 12*j**2 + 2. Let v(x) = x**2. Let m(p) = q(p) - 4*v(p). What is the third derivative of m(d) wrt d? -1224*d Let v be 0/(3*6/9). Differentiate -q**2 + v*q**2 + q**2 + 3 + 4*q**2 wrt q. 8*q Let a be (0 - -4)/((-8)/(-12)). Find the first derivative of 0 - a - 1 + 0*w**2 - w**2 wrt w. -2*w What is the second derivative of -1 + 5*m**4 + 1 + 4*m**4 - 10*m wrt m? 108*m**2 Let r(a) be the third derivative of -2*a**7/105 - a**5/10 + 19*a**4/24 - 6*a**2 + 2. What is the second derivative of r(f) wrt f? -48*f**2 - 12 Find the third derivative of 3*h**2 - 13*h**3 + 4*h**3 + 28*h**2 wrt h. -54 Let z(o) be the second derivative of 11*o**4/12 + 6*o**2 - o. Differentiate z(u) with respect to u. 22*u Let t(s) = s**5 + s**4 + s**2 + s. Let q(n) = -12*n**5 - 6*n**4 - 6*n**2 - 9*n. Let z(r) = q(r) + 6*t(r). Find the second derivative of z(w) wrt w. -120*w**3 Let q(n) be the second derivative of 0 - 2/3*n**3 + 0*n**5 + 0*n**4 + 3*n + 0*n**2 - 1/30*n**6. What is the second derivative of q(b) wrt b? -12*b**2 Suppose -25 = j - 25. Let a(p) be the first derivative of 3/2*p**2 + 1 + 0*p**3 + j*p**4 + 0*p + 1/5*p**5. What is the second derivative of a(i) wrt i? 12*i**2 Let x(h) = h**2 + 5*h. Let s(u) = u. Let p be 3/2*(-4)/6. Let g(a) = p*x(a) + 2*s(a). Find the second derivative of g(n) wrt n. -2 Let z(o) be the first derivative of o**2 + 0*o**3 + 1/6*o**6 + 0*o**5 + 0*o**4 + 0*o + 8. What is the second derivative of z(a) wrt a? 20*a**3 Let z be (-10)/(-2) + (-190)/40. Let r(n) be the second derivative of 0 + 0*n**3 + z*n**4 + n + n**2. What is the derivative of r(j) wrt j? 6*j Let r = -7 - -10. Find the second derivative of -5*p + 0*p**3 - 10*p**3 + 5*p**r wrt p. -30*p Let a(x) be the second derivative of 0*x**3 - 5/2*x**2 + 0 + 1/20*x**5 + 0*x**4 - 6*x. Find the first derivative of a(t) wrt t. 3*t**2 Let h = 9 - 12. Let w be 6 + h + (-6)/(-2). Find the third derivative of 4*q**4 - q**w - 2*q**2 + 2*q**6 - 4*q**4 wrt q. 120*q**3 Let k = -55 + 81. What is the third derivative of -13 + k + 6*m**2 + 6*m**3 - 13 wrt m? 36 Find the third derivative of -54*r**6 + 30*r**2 + 42*r**2 - 16*r**2 wrt r. -6480*r**3 Let k = 14 + -14. Let l(n) be the first derivative of 2 + 0*n**3 + 1/3*n**6 + n**2 + 0*n**4 + k*n**5 + 0*n. Find the second derivative of l(v) wrt v. 40*v**3 What is the third derivative of 91*f**4 - 17*f**2 - 43*f**4 - 33*f**4 wrt f? 360*f Suppose 0 = -t + 3*v - 2, 0*t - v = -2*t + 6. Find the third derivative of -4*g**4 - 5*g**2 + 3*g**t + g**2 wrt g. -24*g Let d(y) be the third derivative of -2*y**7/105 + 8*y**3/3 + 16*y**2. Differentiate d(g) wrt g. -16*g**3 Find the third derivative of 7*w**4 + 4*w**4 - 10*w**2 - 2*w**2 - 54*w**4 wrt w. -1032*w Let u(j) be the second derivative of -3*j**4/4 - 4*j**2 + 2*j. Differentiate u(h) wrt h. -18*h Suppose 0 = d - 5*d + 160. What is the third derivative of 10*m**2 - 9*m**5 + 40*m**4 - d*m**4 wrt m? -540*m**2 Let z(y) be the third derivative of -2*y**6/15 + 7*y**3/2 - 12*y**2. What is the derivative of z(k) wrt k? -48*k**2 What is the second derivative of 8*o**4 + 5*o**4 + 11*o - 2*o**4 wrt o? 132*o**2 Let w(i) be the second derivative of -i**7/6 + 2*i**3/3 - 3*i. What is the second derivative of w(j) wrt j? -140*j**3 Find the third derivative of -4*z**4 + 5*z**4 - 30*z**2 + 2*z**5 + 2*z**5 - 17*z**2 wrt z. 240*z**2 + 24*z Let j(n) be the first derivative of -1 + 3/2*n**2 + 2/3*n**3 + 0*n. What is the second derivative of j(c) wrt c? 4 Let r = -22 + 10. Let l be ((-1)/3)/(2/r). Differentiate 2*y - 5*y**2 - 2*y + l*y**2 + 2 wrt y. -6*y Let g be 3/(-18)*-3*60. Suppose -2*k - 3*r = 10 - g, 20 = k + 4*r. What is the first derivative of f**k + f - 1 + 2*f**4 - f wrt f? 12*f**3 What is the third derivative of -2*p**2 - 7*p**3 + 9*p**2 + 17*p**3 wrt p? 60 Let f(u) be the second derivative of -2*u**7/21 + 5*u**4/6 - 11*u. What is the third derivative of f(i) wrt i? -240*i**2 Let c(s) be the third derivative of -5/6*s**3 + 1/40*s**6 + 0*s**4 + 0*s**5 + 7*s**2 + 0*s + 0. Differentiate c(w) with respect to w. 9*w**2 Let b(c) be the first derivative of 18*c**5/5 - 16*c**3/3 - 17. Find the third derivative of b(l) wrt l. 432*l Suppose 4*b - 3 = 3*b. Let a(n) = -5*n**3 - 3*n**2 + 6*n. Let f(z) = -z**3 - z**2 - z. Let l(d) = b*f(d) - a(d). Find the second derivative of l(w) wrt w. 12*w Let k = 31/78 + 4/39. Let c(j) be the first derivative of 0*j**3 + 3/5*j**5 + 0*j + 2 - k*j**2 + 0*j**4. What is the second derivative of c(m) wrt m? 36*m**2 Let i(y) be the third derivative of -y**6/40 - 7*y**3/6 - 3*y**2. What is the first derivative of i(q) wrt q? -9*q**2 Let x(v) be the second derivative of -1/12*v**4 + 0*v**2 + 0*v**3 + 0 - 2*v + 0*v**6 - 2/21*v**7 + 0*v**5. What is the third derivative of x(b) wrt b? -240*b**2 Suppose 0 = 3*j - 15, -5*f = 4*j - 41 + 11. Find the second derivative of -7*m - 81*m**5 - 2*m + f*m + 80*m**5 wrt m. -20*m**3 Find the third derivative of -4*h**2 - 2*h**6 - 3*h**2 + 9*h**6 + 5*h**2 wrt h. 840*h**3 Let r(q) = -9*q + 6. Let h(w) = 8*w - 6. Let n(j) = -3*h(j) - 2*r(j). Differentiate n(v) wrt v. -6 Let g(p) = 2*p**4 + p**2 + p - 2. Let u be (15/(-6) - -3)*2. Let k(h) = -h**4 - h**2 - h + 1. Let i(f) = u*g(f) + k(f). Find t
{ "pile_set_name": "DM Mathematics" }
*sqrt(5) + 1 Simplify (sqrt(1573)*2 + sqrt(1573) + 5 + 1*sqrt(1573) + 5)**2 + 1. 880*sqrt(13) + 25269 Simplify (3*sqrt(114) - sqrt(114))/sqrt(6) - sqrt(95)/sqrt(5)*2. 0 Simplify sqrt(54)/sqrt(2) - (sqrt(90)/sqrt(5))/sqrt(6). 2*sqrt(3) Simplify sqrt(72)/sqrt(4)*2. 6*sqrt(2) Simplify sqrt(22)/(sqrt(22)/sqrt(2)) + -2. -2 + sqrt(2) Simplify -3*(-1*-1*sqrt(17) - sqrt(17))*-6. 0 Simplify (6*sqrt(48))/(1*sqrt(576)). sqrt(3) Simplify ((-6*sqrt(108) + 1)*-2)**2. -288*sqrt(3) + 15556 Simplify -5*sqrt(300)*-2. 100*sqrt(3) Simplify (sqrt(2673)*-3)/sqrt(11). -27*sqrt(3) Simplify (1*sqrt(21)*-6)/(1*sqrt(192) + sqrt(192)). -3*sqrt(7)/8 Simplify ((sqrt(504) + sqrt(504)*-2 + sqrt(504))/sqrt(2) + -1)*4. -4 Simplify -4*2*sqrt(1053) + 5 + -5. -72*sqrt(13) Simplify -5 + sqrt(847) + (sqrt(847) + 1 + sqrt(847))**2. 55*sqrt(7) + 3384 Simplify (1 + sqrt(2)*2)**2*-1. -9 - 4*sqrt(2) Simplify (sqrt(684) - (5 + -3 + sqrt(684)))**2. 4 Simplify (sqrt(1100)*4*-2 + 5)**2. -800*sqrt(11) + 70425 Simplify ((sqrt(28)/sqrt(4))**2 - sqrt(7)) + 0 + (1 + sqrt(175))**2. 9*sqrt(7) + 183 Simplify sqrt(39)/(sqrt(48)*-6). -sqrt(13)/24 Simplify ((sqrt(35) - sqrt(245)/sqrt(7))/sqrt(5) + sqrt(56)/sqrt(8)*-3)**2. 63 Simplify (sqrt(48)*2)/(sqrt(96)/sqrt(4)). 2*sqrt(2) Simplify (1 + sqrt(98)*-1)**2. -14*sqrt(2) + 99 Simplify (-2*-2*sqrt(972) + sqrt(972))**2. 24300 Simplify (0 + sqrt(44) + 0 + sqrt(11)*-1)**2. 11 Simplify ((0 + sqrt(7) + -3)**2 - sqrt(7)) + sqrt(343) + sqrt(343) + 1 + sqrt(343). 17 + 14*sqrt(7) Simplify sqrt(10)/(sqrt(5) - sqrt(180))*2*1. -2*sqrt(2)/5 Simplify (3*(-4*sqrt(245) - sqrt(5)))**2. 37845 Simplify ((sqrt(80) + 1)*3 + sqrt(80) - sqrt(80) - sqrt(80))**2. 48*sqrt(5) + 329 Simplify sqrt(51)/(1*sqrt(192) + sqrt(192)). sqrt(17)/16 Simplify 2*((sqrt(7) + sqrt(63))*-3 - sqrt(7)). -26*sqrt(7) Simplify -3 + sqrt(3) + sqrt(3) + -4 - (sqrt(3) - sqrt(3)*3*-2). -5*sqrt(3) - 7 Simplify 3 + sqrt(99)*2 + 0. 3 + 6*sqrt(11) Simplify -1*sqrt(2057)*-1. 11*sqrt(17) Simplify (-2*sqrt(84)*2)/sqrt(12)*-1. 4*sqrt(7) Simplify (sqrt(275) - (sqrt(275) + 2))**2 + sqrt(396) + -2. 2 + 6*sqrt(11) Simplify (sqrt(13)*-2 - sqrt(13) - sqrt(13)) + 2 - (sqrt(117) + 0). -7*sqrt(13) + 2 Simplify 1*(sqrt(320) - (sqrt(320) + (sqrt(320) - (sqrt(320) + sqrt(320)*3)))) - (sqrt(320) + 2 + sqrt(320) + -5). 3 + 8*sqrt(5) Simplify sqrt(209)/(-1*sqrt(11) - sqrt(11)) - (sqrt(19) + (-1 + sqrt(1539))**2). -1540 + 33*sqrt(19)/2 Simplify 1*-3*(sqrt(275) - (-1 + sqrt(275) + sqrt(275))**2). -75*sqrt(11) + 3303 Simplify (-2 + -1 + sqrt(108))*-4. -24*sqrt(3) + 12 Simplify (-2*(sqrt(33) + (sqrt(33) - sqrt(99)/sqrt(3))))/((sqrt(132) - (sqrt(132) - sqrt(132)*1))/sqrt(12)) + 3. -2*sqrt(3) + 3 Simplify 1 + ((sqrt(42) + sqrt(42) + sqrt(4200)*2)/(-2*sqrt(486)))**2. 928/81 Simplify (-2*(-2 + sqrt(3) + -1))**2. -24*sqrt(3) + 48 Simplify ((sqrt(10)*1 - sqrt(10))*-4 - sqrt(10))/sqrt(2) + -5. -5 - sqrt(5) Simplify ((sqrt(13) - sqrt(325)) + 1 + (sqrt(325) + sqrt(325)*-4 - sqrt(325)))**2. -48*sqrt(13) + 7489 Simplify -2*((sqrt(110) + sqrt(110) + 4*1*sqrt(110) + sqrt(110) - sqrt(110)) + sqrt(110))/sqrt(10). -14*sqrt(11) Simplify sqrt(28)*3 + sqrt(28) + -4 + sqrt(7)*1 + -4. -8 + 9*sqrt(7) Simplify sqrt(76)/((sqrt(484) - (sqrt(484) + sqrt(484) + (-2*sqrt(484) - sqrt(484)))) + sqrt(484)). sqrt(19)/33 Simplify (sqrt(700) + -1*sqrt(700)*2 + (sqrt(700)*2 + sqrt(700) - sqrt(700)) + -4)**2. -80*sqrt(7) + 716 Simplify ((sqrt(204) - 6*(sqrt(204) + sqrt(204)*-2 - sqrt(204)))/sqrt(12))**2. 2873 Simplify ((sqrt(847) + -2*sqrt(847) + -5)*-3)**2. 990*sqrt(7) + 7848 Simplify (sqrt(40)*-2*-1)/sqrt(8). 2*sqrt(5) Simplify (sqrt(26)*-2*1 + sqrt(26) - sqrt(26))/(sqrt(8)*-6). sqrt(13)/6 Simplify sqrt(22)/(1*sqrt(539) + sqrt(539)). sqrt(2)/14 Simplify ((sqrt(612) + -2 + 2 + sqrt(612))*5)**2. 61200 Simplify -3*(sqrt(325) + 1)**2. -978 - 30*sqrt(13) Simplify ((sqrt(121) + sqrt(121)*-1)/sqrt(11) - (sqrt(11) + 0)*-3)**2. 99 Simplify (sqrt(539) + sqrt(539) + -1 + -5)**2. -168*sqrt(11) + 2192 Simplify sqrt(77)/(sqrt(14)/(sqrt(4)/sqrt(2)) + sqrt(7)). sqrt(11)/2 Simplify (1 + sqrt(304) - sqrt(304))*-5. -5 Simplify sqrt(27) + (sqrt(27) - (-2*sqrt(1323))**2). -5292 + 6*sqrt(3) Simplify (sqrt(6) - sqrt(12)/sqrt(50))/(sqrt(12)/sqrt(150)). 4*sqrt(3) Simplify 5*-1*(1 + sqrt(3)). -5*sqrt(3) - 5 Simplify 2*(sqrt(19) + -1)**2 + (sqrt(19) + sqrt(19) + -1)*2. 38 Simplify sqrt(5) + sqrt(5) + (sqrt(10)/sqrt(2)*6)**2 + ((-2*sqrt(245))**2 - sqrt(245)) + sqrt(245) + 4. 2*sqrt(5) + 1164 Simplify ((1*sqrt(180))/sqrt(6))/(-2*sqrt(10)*1). -sqrt(3)/2 Simplify (sqrt(33)/(-2*(sqrt(11) - sqrt(99)/sqrt(9)) - sqrt(11)))**2. 3 Simplify sqrt(17) + (-1*sqrt(68))**2 - sqrt(85)/(-4*sqrt(5) + sqrt(5)). 4*sqrt(17)/3 + 68 Simplify (sqrt(91) + (sqrt(91) - (sqrt(91) + (sqrt(91) - (sqrt(91) - (sqrt(91) + (sqrt(91) - (sqrt(91) - 1*sqrt(91))))))))*5)/(-2*sqrt(175)). 9*sqrt(13)/10 Simplify sqrt(228)/(sqrt(72)/sqrt(6)) + 5. sqrt(19) + 5 Simplify 2 + (1*sqrt(539))**2. 541 Simplify 2 + sqrt(12)/(-3*sqrt(16)). -sqrt(3)/6 + 2 Simplify 6*sqrt(833)*2 - 2*(sqrt(51)/(-1*sqrt(3) - sqrt(3)))**2. -17/2 + 84*sqrt(17) Simplify 5 + ((sqrt(891) + 1 - sqrt(891))**2*6 - (-2*sqrt(891) + -1)). 12 + 18*sqrt(11) Simplify ((sqrt(209) - -3*sqrt(209)*4 - sqrt(209)) + sqrt(209))/(sqrt(11) + -6*sqrt(396)). -13*sqrt(19)/35 Simplify ((sqrt(117)*3 - sqrt(117))*4)/(-5*2*sqrt(9)). -4*sqrt(13)/5 Simplify (-3*sqrt(121) + sqrt(121) - sqrt(121))/sqrt(11) - 4*sqrt(44). -11*sqrt(11) Simplify (4 + (sqrt(272) + -1 - sqrt(272)) + 4)**2. 49 Simplify (sqrt(288) + 0 + -5 + sqrt(288) + (sqrt(288) - (-1*sqrt(288) + sqrt(288))*-6))**2. -360*sqrt(2) + 2617 Simplify -4 + sqrt(85)/sqrt(5) + sqrt(17) + sqrt(17) + sqrt(17) + sqrt(425) + ((-1 + sqrt(425) - sqrt(425))**2 - sqrt(425)). -3 + 4*sqrt(17) Simplify sqrt(80) + -3*sqrt(80) + -2 + sqrt(80) - (1*sqrt(80)*2)**2. -322 - 4*sqrt(5) Simplify (sqrt(1470) - sqrt(1470)*1 - sqrt(1470))/sqrt(6). -7*sqrt(5) Simplify (sqrt(63)/sqrt(36) + (sqrt(1008) - (sqrt(1008) + -1) - sqrt(1008)))**2. -23*sqrt(7) + 3707/4 Simplify (4*sqrt(35)/(sqrt(7) - (sqrt(7) - sqrt(112))*-2 - sqrt(7)))**2. 20/9 Simplify (sqrt(13) - (2*sqrt(13) + 1)**2) + 4. -49 - 3*sqrt(13) Simplify (sqrt(84)/(sqrt(3072) - sqrt(48))*1)**2. 1/28 Simplify 5*(3*sqrt(7) + 5). 25 + 15*sqrt(7) Simplify -2 + 2*sqrt(1053). -2 + 18*sqrt(13) Simplify (-4*sqrt(28)/sqrt(2))/sqrt(2). -4*sqrt(7) Simplify -2 + 2*-2*sqrt(1573). -44*sqrt(13) - 2 Simplify (sqrt(204) + (sqrt(204) - (sqrt(204) + (sqrt(204) - sqrt(204)*1) + sqrt(204))*-2))/(-2*sqrt(588) + sqrt(588)). -6*sqrt(17)/7 Simplify 2*(-1 + sqrt(33)/sqrt(3) + 0). -2 + 2*sqrt(11) Simplify (sqrt(252) + 1*sqrt(252))**2 - (sqrt(175) + -2). -5*sqrt(7) + 1010 Simplify (sqrt(16) - (-1*sqrt(112) + sqrt(112))/sqrt(7))/((sqrt(72)*2)/sqrt(9)). sqrt(2)/2 Simplify -1 + (sqrt(605) + sqrt(605)*-1)**2. -1 Simplify -4*(sqrt(2736) + -2) + (sqrt(2736) - (-1 + 2*sqrt(2736)))**2. -72*sqrt(19) + 2745 Simplify sqrt(76)/sqrt(64)*-6 + 3. -3*sqrt(19)/2 + 3 Simplify (3 + 1*(sqrt(500) - (sqrt(500) + 0)))**2 + 1. 10 Simplify (2*sqrt(162)*-1 - ((1 + sqrt(162))*-5 - sqrt(162)))**2. 360*sqrt(2) + 2617 Simplify (-3*sqrt(39)*5)/sqrt(3). -15*sqrt(13) Simplify (1 + sqrt(468))*2 + -4. -2 + 12*sqrt(13) Simplify (4*(sqrt(405) - -2*sqrt(405)) + -6*sqrt(405)*-1 + 4)**2. 1296*sqrt(5) + 131236 Simplify -1*-2*sqrt(5) - 4*(sqrt(20)/sqrt(4))**2. -20 + 2*sqrt(5) Simplify 2 + (1 + sqrt(405))*2. 4 + 18*sqrt(5) Simplify sqrt(17) + sqrt(85)/sqrt(320) + (-1*sqrt(17))**2*4. 9*sqrt(17)/8 + 68 Simplify (sqrt(42)/sqrt(150) - (0 + 2*sqrt(7) - sqrt(7)))**2. 112/25 Simplify (1*sqrt(5760))/(-4*-1*sqrt(8)). 3*sqrt(5) Simplify (-1*sqrt(891) + -5)**2 + -1. 90*sqrt(11) + 915 Simplify ((-2*sqrt(147) - sqrt(147)) + sqrt(147))**2*2. 1176 Simplify -1*(sqrt(99) + 0 - sqrt(99)). 0 Simplify -3*(sqrt(13) + -1)*-3 + (sqrt(130) + (3*(-2*sqrt(130) + sqrt(130)) - sqrt(130) - sqrt(130)))/sqrt(10). -9 + 5*sqrt(13) Simplify -3*sqrt(1216) + -4. -24*sqrt(19) - 4 Simplify 5 + sqrt(60)/sqrt(3) + 0. 2*sqrt(5) + 5 Simplify (5 + (1*sqrt(200)*1 - (3 + sqrt(200) + 0)))**2. 4 Simplify -6*(sqrt(19) - (sqrt(19) - sqrt(95)/sqrt(5)))*-1. 6*sqrt(19) Simplify (sqrt(15) + sqrt(30)/sqrt(2))/sqrt(5) - ((sqrt(3) - sqrt(21)/sqrt(28) - sqrt(3)) + sqrt(3)). 3*sqrt(3)/2 Simplify (sqrt(130)/sqrt(250) - (sqrt(156)/(sqrt(12)*
{ "pile_set_name": "DM Mathematics" }
- d + 22 = q. Factor 171 + 5*c**4 + 234 + 270*c**2 - 2*c**4 + q*c**4 - 60*c**3 - 540*c. 5*(c - 3)**4 Let r be 1/3 + (-2)/(-6)*23. Suppose -3*p + r*p - 15 = 0. What is i in 3*i + 83*i**3 - 3*i - 82*i**p = 0? 0 Suppose -29*f + 24*f = 25. Let q be f + 1 - 3*-2. Solve 16*d + 4*d**5 - 8*d + 36*d**3 - 20*d**4 - 17*d**2 - 11*d**q = 0 for d. 0, 1, 2 Let k(s) be the third derivative of s**5/150 + 3*s**4/4 + 86*s**3/15 + 2547*s**2. What is q in k(q) = 0? -43, -2 What is l in 663*l**2 + 6040*l**3 - 411*l**2 + 4*l**4 - 5780*l**3 - 4*l**5 = 0? -7, -1, 0, 9 Factor 8 - 11*z + 14*z - 16*z + z - 32*z**2 - 12*z**3. -4*(z + 1)*(z + 2)*(3*z - 1) Let t(g) be the third derivative of -g**8/84 + 4*g**7/35 + 17*g**6/30 - 2*g**5/5 - 8*g**4/3 + 649*g**2 - 4. What is a in t(a) = 0? -2, -1, 0, 1, 8 Let b(q) = -15*q**2 - 63*q. Suppose -3*d + 4*k = d + 16, -d = -4*k + 4. Let l(t) = -7*t**2 - 31*t. Let j(i) = d*b(i) + 9*l(i). Determine p, given that j(p) = 0. -9, 0 Let u be ((-96)/576)/((-11)/1749). Factor -38*t - 1/2*t**4 - 18 - 7*t**3 - u*t**2. -(t + 1)*(t + 2)**2*(t + 9)/2 Suppose -5*y + 5*q = 170, 6*y - 168 = 11*y - 3*q. Let p = -29 - y. Factor -115*g**3 - 8*g + 123*g**3 + 16*g**2 - p*g**2. 4*g*(g + 2)*(2*g - 1) Let s(w) = w**2 - 2*w - 22. Let g be s(6). Suppose 0 = -8*l + 7*l + 5, 19 = -g*v + 5*l. Factor v - 4/3*i**3 - 2/3*i**2 + 4*i + 1/3*i**4. (i - 3)**2*(i + 1)**2/3 Let j(y) be the first derivative of 1/15*y**4 + 8/15*y + 4/15*y**2 - 69 - 14/45*y**3. What is s in j(s) = 0? -1/2, 2 Let h(x) = -55*x**2 - 6237*x - 6221. Let o(c) = 13*c**2 + 1559*c + 1555. Let b(a) = 3*h(a) + 13*o(a). Let b(s) = 0. What is s? -388, -1 Factor -3388/25*n + 792/25*n**2 + 2/25*n**4 + 2662/25 - 68/25*n**3. 2*(n - 11)**3*(n - 1)/25 Suppose 111*x + 196 - 65*x - x**3 + 81*x - 46*x**2 + 24*x = 0. What is x? -49, -1, 4 Suppose -3200 + 76*w**3 + 36*w**4 - 139*w**4 + 128*w + 38*w**4 + 61*w**4 + 600*w**2 = 0. Calculate w. -4, 2, 25 Let q(z) = z**2 - 18*z + 184. Let a be q(22). Let s = a + -272. Factor s*l - 1/3 + 1/3*l**2. (l - 1)*(l + 1)/3 Let m(o) be the third derivative of -o**8/448 + o**7/840 + 3*o**6/160 - 3*o**5/80 + o**4/48 - 90*o**2 + 2. Suppose m(l) = 0. What is l? -2, 0, 1/3, 1 Let t be -1 - ((1 - 2) + 0). Let q be (-4)/(2/(-4) - 366/244). Suppose 8/5*m**5 + 0 + t*m + 22/5*m**3 + 26/5*m**4 + 4/5*m**q = 0. What is m? -2, -1, -1/4, 0 Suppose -19*f = -2*f - 884. Let s be (-55 - 1)*f/(-156). Determine k so that -16/3*k + 16/3 - s*k**3 - 76/3*k**2 - 4*k**4 = 0. -2, -1, 1/3 Let i = -205585 - -822343/4. Factor 105/4 + 27*w + i*w**2. 3*(w + 1)*(w + 35)/4 Suppose 10 = 2*b - 5*a - 12, b = 3*a + 9. Determine v so that 15*v - 3*v**2 + b - 129 + 13*v + 6*v**2 - v = 0. -12, 3 Let z = -78043/395 - 539/79. Let l = -204 - z. Factor l*w**3 + 6*w**2 + 50 + 30*w. 2*(w + 5)**3/5 Suppose 13*k + 1868 + 1852 = 3746. Find i such that 20/9*i**4 - 16/9*i + 0 + 16/9*i**k + 52/9*i**3 = 0. -2, -1, 0, 2/5 Let g(w) = -110*w + 1214. Let s be g(11). Let n(b) be the third derivative of -1/108*b**s - 1/270*b**5 + 0*b**3 + 10*b**2 + 0 + 0*b. Let n(k) = 0. Calculate k. -1, 0 Let o(z) be the first derivative of -z**5 + 735*z**4/4 - 9810*z**3 + 87850*z**2 - 147000*z + 5448. Factor o(g). -5*(g - 70)**2*(g - 6)*(g - 1) Let j(c) = 15*c**2 + 1315*c - 83210. Let n(h) = -11*h**2 - 1310*h + 83209. Let x(y) = -4*j(y) - 5*n(y). Factor x(s). -5*(s - 129)**2 Factor 31*f - 1402*f**2 - 57*f - 150 - 119*f + 1407*f**2. 5*(f - 30)*(f + 1) Suppose 223*q - 4876 = 117*q. Let h(z) = -z**3 - z**2 + 5. Let r be h(0). Let 5*a**4 + 101*a**3 - 50*a**3 - q*a**3 - 5*a - r*a**2 = 0. Calculate a. -1, 0, 1 Determine u, given that -63/2*u**3 - 24*u**2 - 3/2*u**4 + 120 + 126*u = 0. -20, -2, -1, 2 Let o(h) be the first derivative of h**4/20 + 41*h**3/15 + 19*h**2/5 - 16*h - 1965. Determine f so that o(f) = 0. -40, -2, 1 What is d in 5/2*d**2 - 4*d**4 + 25/4*d**3 - 3/8*d**5 - 47/8*d + 3/2 = 0? -12, -1, 1/3, 1 Let u = -24/2033 + 4234/14231. Suppose u*o - 16/7 + 16/7*o**2 - 2/7*o**3 = 0. Calculate o. -1, 1, 8 Let c(k) = -k**2 - 14*k - 7. Let x(i) = 3*i. Let g = -42 + 36. Let a(b) = g*x(b) - 3*c(b). Let a(w) = 0. What is w? -7, -1 Suppose 0 = -4*c + 24 + 12. Suppose 6 - 3 = m - 5*g, 3*m + g = c. Let -510*j + 5*j**5 + 3*j**4 - 2*j**m + 510*j = 0. Calculate j. -1, 0, 2/5 Let x = -28 + 39. Suppose -79 - x = -10*n. Factor 31 - 4*h - 24*h + n + 4*h**2. 4*(h - 5)*(h - 2) Let 18*n + 1/2*n**2 + 99/2 = 0. What is n? -33, -3 Let x(d) be the second derivative of d**7/5040 - d**6/36 + 5*d**5/3 - d**4/6 - 5*d**2/2 - 45*d. Let t(p) be the third derivative of x(p). Factor t(n). (n - 20)**2/2 Let 5067 - 5*d**3 - 1893*d**2 + 213*d**2 + 3375*d - 1618 - 3213 - 1926 = 0. Calculate d. -338, 1 Let o(j) be the third derivative of 0*j - 2 + 40*j**2 + 19/96*j**4 + 1/240*j**5 - 5/6*j**3. Factor o(k). (k - 1)*(k + 20)/4 Let u(w) be the second derivative of 3*w**5/100 + 151*w**4/20 + 6059*w**3/10 + 15987*w**2/2 - 1463*w. Solve u(a) = 0. -73, -5 Suppose -43*m + 40*m + 639 = 0. Factor 2*x**2 - 4*x**2 + 191*x - m*x. -2*x*(x + 11) Suppose 0 = -10*p + 77 + 93. Factor 8 - p*d - 12*d - 5*d + 8*d**2. 2*(d - 4)*(4*d - 1) Suppose 287*d + 19008 = 2522*d + 855*d + 78*d. Find l such that 0 - d*l**2 + 13/2*l - 1/2*l**3 = 0. -13, 0, 1 Let p(h) = -24*h + 36. Let k be p(1). Suppose -s + 10 = l + l, l - 3*s = k. Let -40/17*x**2 - 36/17 + l*x - 50/17*x**3 = 0. What is x? -2, 3/5 Suppose 3*j - 3*u = 27, j - 40 = -4*j + 4*u. Suppose j = 2*h - 0. Factor -9*a - 21*a**h + 17 - 17 + 6*a**3 + 3*a + 21*a**4. 3*a*(a - 1)*(a + 1)*(7*a + 2) Let i be (-4337)/(-26022)*((-1)/3 - -1). Factor -1/3*d**2 - 2/9*d + 0 - i*d**3. -d*(d + 1)*(d + 2)/9 Let q(g) = -2*g**4 + 2*g**3 + 16*g**2 - 18*g - 12. Let v(o) = o**3 - 2*o**2 - o - 1. Suppose 31*j + 1 = 30*j. Let z(t) = j*q(t) - 6*v(t). Factor z(k). 2*(k - 3)**2*(k + 1)**2 Suppose -1410*q = 209 - 3029. Factor 0*t**3 - 7/4*t**q - 3/2*t + 1/4*t**4 + 0. t*(t - 3)*(t + 1)*(t + 2)/4 Let -6 - 413 - 927*i - 113 + 12*i**2 + 95*i - 28 = 0. What is i? -2/3, 70 Let c(t) be the first derivative of 9/20*t**4 + 14/5*t - 9/10*t**2 - 1/25*t**5 - 13/15*t**3 - 218. Suppose c(m) = 0. What is m? -1, 1, 2, 7 Let w be (-468)/(-27378) + ((-48)/(-27))/4. Let o(m) be the first derivative of 23 + w*m**2 + 1/26*m**4 + 10/39*m**3 + 0*m. What is g in o(g) = 0? -3, -2, 0 Let q(u) be the first derivative of -u**4/20 + 4*u**3/5 - 18*u**2/5 + 32*u/5 + 4862. Factor q(l). -(l - 8)*(l - 2)**2/5 Let a = 52 - 28. Let v = 27 - a. Solve 9*z + v*z**2 + 3*z**2 + 1 - 1 - 3*z**3 = 0 for z. -1, 0, 3 Suppose 0 = -13*o + 8*o - 365. Let l = o + 1057/13. Factor -14/13*i**3 + 54/13*i + l - 18/13*i**2 - 2/13*i**4. -2*(i - 2)*(i + 3)**3/13 Let k be (-2)/((-1)/(-1) + 40/(-24)). Solve 1 - 26*d - 21 + 0*d**2 + 3*d**2 + k*d**2 = 0 for d. -2/3, 5 Let z(w) be the first derivative of 0*w**4 + 21/2*w**2 + 1/120*w**6 - 2/3*w**3 + 1/20*w**5 + 0*w + 16. Let t(h) be the second derivative of z(h). Factor t(m). (m - 1)*(m + 2)**2 Let z(i) = -i**2 - 35*i + 245. Let m(r) = 2*r**2 + 66*r - 491. Let a(x) = -3*m(x) - 5*z(x). Factor a(o). -(o - 8)*(o + 31) Let v be (-160)/32 - (-3 - 2). Factor -18*j - 4*j**4 - 61*j**2 - 28*j**3 + 17*j**2 - 2*j + v*j. -4*j*(j + 1)**2*(j + 5) Let i(p) be the first derivative of -3*p**5/25 - 357*p**4/20 - 118*p**3/5 + 5062. Factor i(h). -3*h**2*(h + 1)*(h + 118)/5 Suppose -67 = 3*p - 136. Let f be -4*3/42 - p/(-7). Factor -1031 + 35*l - l**2 - l**2 - f*l**2 + 981. -5*(l - 5)*(l - 2) Suppose -h + 53 = 9. Let r = 10 + h. Factor 180*a**2 + r + 56*a**5 - 58*a**5 - 26*a + 22*a**4 - 136*a - 92*a**3. -2*(a - 3)**3*(a - 1)**2 Let r be 238/85 - (-2)/10. Let h(a) = 2*a**2 - a + 5. Let p = -7 - -11. Let k(o) = -3*o**2 + o - 6. Let q(i) = p*h(i) + r*k(i). Factor q(b). -(b - 1)*(b + 2) Let w be 12128/(-1516)*(1 - 33/24). Factor 176/5 + 1592/5*k + 3636/5*k**2 + 162/5*k**w. 2*(k + 22)*(9*k + 2)**2/5 Let m = -112 + 194. Let x = m - 78. Determine z, given that -x - 5*z + 3 - 1 - 3*z**2 = 0. -1, -2/3 Let r be (-96)/(-528)*11/10. Factor -3/5*t - r*t**2 - 2/5. -(t + 1)*(t + 2)/5 Suppose 3440/7*r - 44/7*r**4 + 612/7*r**3 + 288/7 + 3048/7*r**2 = 0. What is r? -2, -1/11, 18 Suppose 272*b + 33 = 273*b + 2*a, -3*b - a = -94. Let t(g) be the first derivative of -b + 2*g - 2*g**2 + 2/3*g**3. Factor t(d). 2*(d - 1)**2 Let x(n) be the first derivat
{ "pile_set_name": "DM Mathematics" }
3 What is 28688 divided by -1793? -16 123 divided by 835 123/835 Divide 1945710 by -3. -648570 Divide 12 by -15519. -4/5173 Divide -657927 by 369. -1783 What is -110758 divided by -2? 55379 What is 4711476 divided by -33? -142772 Calculate 792549 divided by -2469. -321 Divide 1843 by -6. -1843/6 What is -1 divided by 8694? -1/8694 50944 divided by -2 -25472 Divide 6494944 by 405934. 16 What is 38082 divided by -12694? -3 Divide 49320 by 5480. 9 What is 5997 divided by 1? 5997 1108083 divided by -3 -369361 Divide 1864 by -1864. -1 What is 6214744 divided by -1553686? -4 What is -45175 divided by -9035? 5 Divide -27453 by -22. 27453/22 Divide 16240 by -5. -3248 Divide -1429425 by 285885. -5 -286 divided by 5041 -286/5041 What is 92638 divided by 2? 46319 Calculate 19656 divided by -91. -216 Calculate 3357105 divided by -79. -42495 Calculate 266 divided by -14. -19 2713 divided by 312 2713/312 Divide 223875 by -199. -1125 What is -29640 divided by -114? 260 4349 divided by 17 4349/17 Calculate 107695 divided by 3077. 35 Calculate 0 divided by -970695. 0 What is 12068 divided by -3017? -4 Calculate 981832 divided by 15836. 62 -169567 divided by 4 -169567/4 What is 859712 divided by -214928? -4 2 divided by 207886 1/103943 Divide 4 by 13017. 4/13017 Calculate -5 divided by 1862164. -5/1862164 Divide -170 by -263. 170/263 What is -133427 divided by 49? -2723 What is 7 divided by 971? 7/971 -2 divided by 110552 -1/55276 Calculate -617821 divided by 5. -617821/5 What is 26 divided by -188832? -13/94416 Divide -1443832 by 360958. -4 Calculate 470171 divided by 36167. 13 What is -1040392 divided by 22136? -47 Calculate 35 divided by 250. 7/50 Divide -16637 by -6. 16637/6 Divide -73 by -421. 73/421 Calculate -433967 divided by -1. 433967 -72978 divided by -3 24326 What is -6190072 divided by -126328? 49 Calculate -1018 divided by 4. -509/2 Divide 38961 by 12987. 3 What is -352 divided by 316? -88/79 -1670 divided by 6 -835/3 31105 divided by -6 -31105/6 -4 divided by 3757 -4/3757 Calculate -2613485 divided by 522697. -5 What is -8601 divided by -183? 47 What is -218875 divided by -1? 218875 Calculate 72340 divided by 10. 7234 Calculate -1094753 divided by 3. -1094753/3 1331974 divided by 95141 14 What is 62190 divided by 90? 691 -3596 divided by -29 124 4 divided by -221582 -2/110791 5045 divided by -50 -1009/10 Divide -9 by 39719. -9/39719 2 divided by -31688 -1/15844 -395 divided by 409 -395/409 Calculate -1329 divided by -2967. 443/989 Divide 32329 by -2939. -11 Divide -27 by -806. 27/806 -42868 divided by -21434 2 Divide 1 by -15581. -1/15581 -177176 divided by -2 88588 What is 19987 divided by 1? 19987 Divide -27028 by -932. 29 Calculate 363 divided by -263. -363/263 What is -6253 divided by 714? -6253/714 Calculate 318 divided by -281. -318/281 -31180 divided by 6236 -5 Divide 24770 by -4. -12385/2 227652 divided by 1866 122 Calculate -3620 divided by 5. -724 Divide -48 by 74865. -16/24955 What is -37 divided by 39087? -37/39087 5 divided by -7775 -1/1555 Divide 89802 by 44901. 2 6423 divided by 25 6423/25 Calculate 617270 divided by 7. 617270/7 What is 71564 divided by -6? -35782/3 Calculate -4 divided by 56675. -4/56675 Calculate -32 divided by -209289. 32/209289 Divide -57363 by -3. 19121 Calculate -111652 divided by -1. 111652 Divide 1323126 by -4. -661563/2 258000 divided by -5375 -48 -24736 divided by 9 -24736/9 What is 2 divided by 135975? 2/135975 What is -89 divided by 6811? -89/6811 Divide -3316 by -83. 3316/83 -97755 divided by 1715 -57 Calculate -90021 divided by -37. 2433 Calculate 606 divided by -35. -606/35 Divide -2634 by -82. 1317/41 What is -3 divided by 9068? -3/9068 What is 0 divided by -108458? 0 Calculate 62 divided by -62. -1 Divide -1512 by 28. -54 -200484 divided by -4 50121 Calculate -63752 divided by 15938. -4 What is -856504 divided by 8? -107063 Calculate -13071 divided by 51. -4357/17 Calculate -76038 divided by -1653. 46 Divide -6 by -35915. 6/35915 Divide 73160 by 2360. 31 What is -6208 divided by -1? 6208 119 divided by -584 -119/584 399 divided by -657 -133/219 Divide -27064 by -1592. 17 Divide -17715 by -5905. 3 158875 divided by -775 -205 Divide 5713 by 31. 5713/31 -47 divided by -348 47/348 Divide 2 by 4555. 2/4555 What is -3876 divided by 51? -76 -29686405 divided by -5 5937281 What is -1790712 divided by -1848? 969 Calculate -6484191 divided by -3. 2161397 Calculate -2505 divided by 39. -835/13 What is 2351 divided by 1? 2351 Divide -121240 by -6. 60620/3 Calculate 139679 divided by -2. -139679/2 -80 divided by -4659 80/4659 2685 divided by -179 -15 -1305 divided by 228 -435/76 Calculate -233665 divided by 46733. -5 Calculate 1 divided by -60906. -1/60906 Divide -23280 by -11640. 2 -18188 divided by -5 18188/5 -59778 divided by 18 -3321 -3844608 divided by 2 -1922304 2 divided by 41944 1/20972 Divide 2176 by 544. 4 Calculate -86 divided by 1082. -43/541 Divide 286484 by -26044. -11 What is -59655 divided by -205? 291 Divide -10 by -89131. 10/89131 Calculate -689 divided by 31. -689/31 Calculate -383 divided by 4. -383/4 Calculate 1064260 divided by -5. -212852 Calculate 43916 divided by 16. 10979/4 Calculate -7235 divided by -183. 7235/183 Calculate 4 divided by -97202. -2/48601 -3118854 divided by -102 30577 Divide -14868 by -118. 126 Calculate 39284 divided by 4. 9821 What is -4 divided by -641038? 2/320519 Divide -713215 by 335. -2129 Calculate 100372 divided by -4. -25093 Divide 260 by 4643. 260/4643 What is -1254732 divided by -6? 209122 What is -611442 divided by -5? 611442/5 Divide -15800 by -3160. 5 -117 divided by 73879 -9/5683 32538 divided by 7 32538/7 What is 704550 divided by 33? 21350 Calculate 16992 divided by 1062. 16 Calculate 2331 divided by 143. 2331/143 Divide -28842 by 33. -874 Calculate 185 divided by -114. -185/114 Calculate -3228181 divided by -1. 3228181 What is 2313930 divided by 1156965? 2 -625176 divided by -914 684 Divide -302376 by -586. 516 What is -137 divided by 11724? -137/11724 65848 divided by -8 -8231 Calculate 343672 divided by 4. 85918 -195280 divided by -4 48820 5 divided by 12548 5/12548 Divide -1751844 by -3. 583948 Divide 711216 by 2. 355608 19045 divided by -19045 -1 Divide 31808 by -7952. -4 Calculate 28125 divided by -97. -28125/97 Divide 2972266 by -334. -8899 What is -46498 divided by 10? -23249/5 What is -61 divided by 1410? -61/1410 3298370 divided by -1930 -1709 13285 divided by -2657 -5 What is 12 divided by -8694? -2/1449 19540 divided by -3908 -5 What is -11155 divided by 23? -485 49104 divided by -24 -2046 -4256 divided by -532 8 Divide 10516 by 11. 956 -132004 divided by 61 -2164 Divide -2098772 by 1049386. -2 Divide 33022 by -869. -38 Calculate 636719 divided by 1. 636719 86380 divided by -43190 -2 What is -39 divided by 20? -39/20 Calculate -164712 divided by -24. 6863 Divide 26 by -148. -13/74 -152836 divided by 4 -38209 What is 23 divided by -2101? -23/2101 Calculate 1041819 divided by 61. 17079 Divide -5446 by -39. 5446/39 Calculate 14105 divided by -2821. -5 Calculate 3 divided by 415923. 1/138641 44760 divided by -4 -11190 -45510 divided by -3034 15 What is 0 divided by 15234? 0 Calculate 1 divided by 20757. 1/20757 Divide 0 by 273645. 0 Divide -9 by 185117. -9/185117 Calculate 32968 divided by -52. -634 Calculate 37674 divided by 42. 897 What is -62271 divided by -3? 20757 What is -7313468 divided by -1? 7313468 -128376 divided by -3 42792 Calculate 3228885 divided by -55. -58707 What is -2 divided by -9298? 1/4649 Divide -4428 by 108. -41 What is -51 divided by -2498? 51/2498 What is -1306824 divided by 2? -653412 What is -37 divided by -32861? 37/32861 What is -2708 divided by 40? -677/10 Calculate 1940380 divided by 4. 485095 23990 divided by -5 -4798 -84 divided by -642 14/107 Calculate -9 divided by 18199. -9/18199 Divide 115 by 9. 115/9 25464 divided by 2122 12 -48 divided by -900 4/75 498843 divided by -6 -166281/2 Divide 1 by 16102. 1/16102 357150 divided by 50 7143 -8528 divided by -104 82 0 divided by 189579 0 Calculate -1953 divided by -7. 279 Divide -1852560 by -14940. 124 Calculate 135103 divided by -1. -135103 Divide -32177 by -1. 32177 Calculate -2071183 divided by 181. -11443 What is 2206 divided by -260? -1103/130 102 divided
{ "pile_set_name": "DM Mathematics" }
*k**(-4/7)*k**(-3))**28 assuming k is positive. k**96 Simplify (l**(-5/2)/(l/(l*l**(2/91))))**37 assuming l is positive. l**(-16687/182) Simplify q**(-7)*q*(q**(1/16)*q)/q*q**13*q/(q/(q*q/q**(-15/4)*q)) assuming q is positive. q**(221/16) Simplify ((z*z*z**(-1/6)*z*z*z**18*z*z)**14)**(-22) assuming z is positive. z**(-22022/3) Simplify (f**(2/85)/f*f**(-1))/(((f**(-14)*f)/f)/(f*f**(15/2))) assuming f is positive. f**(3489/170) Simplify ((a**(-10)/a*a/((a/a**11)/a)*a)/((a/a**(-4/5))/(a*a**(-5)*a)))**(13/5) assuming a is positive. a**(-182/25) Simplify (((s/s**(2/25))/s)/(s*(((s/(s/s**(-31)))/s)/s)/s))**(16/5) assuming s is positive. s**(13168/125) Simplify a/a**(2/23)*a*a/(a**(3/7)*a)*((a*a*a**(-6/11))/a)/(a*a/(a**(1/9)/a)) assuming a is positive. a**(-15140/15939) Simplify ((f**(-2/25)/f*f)**21)**(-3/5) assuming f is positive. f**(126/125) Simplify ((d**(-13)/d)/(d**(-4/7)*d))/(((d/(d/(d/(d*d**(1/4)))))/d)/d**(-2)) assuming d is positive. d**(-425/28) Simplify (x**34*x)/(x**2*x)*x/x**32*x*x*(x**(-5)/x)/x assuming x is positive. x**(-4) Simplify (k**(-1/23)/(k/(k**(-2/61)*k)*k))**(-20) assuming k is positive. k**(30200/1403) Simplify (p**(-2/61)*p*p**(-4/11))/(p*p**(-20)*p)**14 assuming p is positive. p**(169497/671) Simplify (((d*d**4)/d*d**(-1/23))**(4/23))**(-2) assuming d is positive. d**(-728/529) Simplify (y*((y**(-6)*y)/y)/y)**(2/13)/(y**(2/9)*y**(2/5)) assuming y is positive. y**(-904/585) Simplify t**0*t*(t/t**(-6/11))/t*(t*t/(t/t**0))/((t*t**(1/4))/t) assuming t is positive. t**(101/44) Simplify t*t*t*t*t*t**29*t*((t/t**(-11/3))/t)/t*(t/((t**(-14)/t)/t))**(-19) assuming t is positive. t**(-856/3) Simplify ((q/(q**(-2/3)/q)*q**(-1))/(q**(1/4))**(1/6))**36 assuming q is positive. q**(117/2) Simplify ((f**(-25)/f**(-24))**(-3/44))**(1/5) assuming f is positive. f**(3/220) Simplify (p*p**(-1/9))**(1/37)/((p**(-1)*p*p)/(p*p*p**(1/9)*p*p)) assuming p is positive. p**(116/37) Simplify (p/(p*p**(2/9)))**(-5/3)*((p/(p*(p*p**(-2/11))/p))/p*p)**(-8/15) assuming p is positive. p**(406/1485) Simplify n/n**(6/19)*n**(2/3)*(n/(n/n**(9/7)*n))**26 assuming n is positive. n**(3503/399) Simplify ((p/(p**4*p*p*p*p))/p)**(38/7)*p**(-10)/(p/p**18) assuming p is positive. p**(-255/7) Simplify (z/(z**7/z)*z/z**(-8))/(z**9/z*z*z**(-11)/z) assuming z is positive. z**7 Simplify (((h**(-2/3)/h)**2)**(-4/23))**(-1/11) assuming h is positive. h**(-40/759) Simplify (j**(1/2)/(((j/j**27*j*j)/j)/j))**29 assuming j is positive. j**(1537/2) Simplify (p**(2/29))**(8/11)*p**(-2/7)/(p/p**(-11)) assuming p is positive. p**(-27322/2233) Simplify ((v**(-3)*v)/v*(v/(v/(v*v**(-1/2)*v)))/v*v*(v*v**0)**(-2/3))**(9/4) assuming v is positive. v**(-39/8) Simplify (v**(-9)/v)/v**22*v*(v/(v*v**(-1/7)))/v*v*v**9 assuming v is positive. v**(-153/7) Simplify (a**(-3)*a*a*a**(-2/7)*a)**10 assuming a is positive. a**(-20/7) Simplify (s/s**(-2))**(-11)/((s*s**(-14/5))/s**15) assuming s is positive. s**(-81/5) Simplify (r*r**(-3))**24*r**(4/5)/r**0 assuming r is positive. r**(-236/5) Simplify (o*o*o*((o*o*(o**(-2)*o)/o*o*o)/o)/o*o**19)/(o/(o/(o*(o*o/o**(-9/4))/o))*(o**(-9)/o)/o) assuming o is positive. o**(115/4) Simplify ((g/(g**(-16)/g))/g**7)**11 assuming g is positive. g**121 Simplify (r*r**(-2/3))**48*(r**(1/7))**(-17) assuming r is positive. r**(95/7) Simplify (o*o**(6/5))**(-20)*o**(2/51)*o*o*o**(-29) assuming o is positive. o**(-3619/51) Simplify (y**13*y**4)/(y**(-2/25)*y**(-1/12)) assuming y is positive. y**(5149/300) Simplify (((m*m*m/(m*m*m**(-3/8))*m)/m**(-7))/((m**9/m)/((m*m**(-9)*m)/m)))**(-40) assuming m is positive. m**265 Simplify (z*z/(z*(z/z**(-1/2))/z*z)*z**(2/3)*z**7*z**(2/5))**(6/23) assuming z is positive. z**(227/115) Simplify (t/(t*t**(-11))*t**(-2))/(t*t**(-9))**(1/8) assuming t is positive. t**10 Simplify ((q/q**(3/2)*q)/(q/q**(-3)))/(q**8/(q*q*q**(-14)*q*q)) assuming q is positive. q**(-43/2) Simplify (u*u*u**(-4/3)*u/u**21)/(u**11/(u/u**(3/8))) assuming u is positive. u**(-713/24) Simplify (((q**1)**(-18))**(-15))**(-1/7) assuming q is positive. q**(-270/7) Simplify (n**30*n**(13/3))**42 assuming n is positive. n**1442 Simplify (b**(-13)/b**(-2/7))/(b*b*b**(-10)*b*(b/(((b*b**(-19))/b*b*b)/b))/b) assuming b is positive. b**(-166/7) Simplify z*z/(z*z**(-38)/z)*z*z**(-2/57)*z*(z/((z*z*z**(-2))/z)*z)/z*z*z*z**(-28) assuming z is positive. z**(1024/57) Simplify (((r/r**(-4/5))/(r**(-1/2)*r))/((r/(r*r/(r*r*r**(1/3)*r)))/r)**(-2/17))**(-8/15) assuming r is positive. r**(-2972/3825) Simplify ((p**(-1/6))**(-25/3)*((p/(p*p**(-3/4)*p))/p*p)**(-2/21))**(-8) assuming p is positive. p**(-712/63) Simplify (b/b**(-9)*b)**(1/15)/(b*(b/(((b/(b**(4/5)*b))/b)/b))/b)**(-12/5) assuming b is positive. b**(739/75) Simplify (q**(-24)/q*q**(-16))/(q**38/(q*(q*q*q**(-2/13)*q)/q)) assuming q is positive. q**(-990/13) Simplify (m**(-1))**(-2/57)*m/(m*(m**(-1/3)*m)/m*m)*(m**1/m)/m*m assuming m is positive. m**(-12/19) Simplify (f/((f**(-8)*f)/f*f)*f)/f**(-13)*f*f*f**(6/7)*f*f**(3/2) assuming f is positive. f**(383/14) Simplify (y/(y*y**3)*y/(y**(-6)/y))/(y**(-5/4)/(y*(y/y**(-3/13))/y)) assuming y is positive. y**(389/52) Simplify (a**(-2))**(-4/3)/((a*a*a**(-4/3)*a)/a**(-14)) assuming a is positive. a**(-13) Simplify (((q*q*q*q**(-6)*q*q)/q)/(q/(q*q**14)))/(((q*q**(1/4))/q)/(q/(q*q**8*q))) assuming q is positive. q**(11/4) Simplify ((f**0)**(-4/17)/(f*f/(f*f*f**(-1/4))*f*f**(-3)*f))**(-6) assuming f is positive. f**(-9/2) Simplify (u**(1/17)*u**19)/(u*u/(((u/u**(-12)*u)/u)/u)*u*u/((((u**25/u)/u)/u*u*u)/u)) assuming u is positive. u**(851/17) Simplify ((c*c**10*c)**26)**(2/5) assuming c is positive. c**(624/5) Simplify (a**(-2/15)*a*a)**(-16)/(a**(2/5)*(a/a**19)/a) assuming a is positive. a**(-169/15) Simplify ((h/h**(-1/3))**(4/29)/((h*h**(7/5))/(h*h*h/(h**(6/7)/h)*h*h)))**(-20) assuming h is positive. h**(-35648/609) Simplify (((a**(1/3))**(-20))**(-30/13))**41 assuming a is positive. a**(8200/13) Simplify ((n/n**(-19))/n**6)/(n/n**(-1/3)*n*n**(1/18)) assuming n is positive. n**(209/18) Simplify (((g/(g/(g*g**(-1/6)*g)*g))/g*g*g/(g**(1/5)/g))**(15/7))**(5/11) assuming g is positive. g**(395/154) Simplify ((l/l**(-1/3))/l)**(-6)*((l/(l*l**0*l))/l)**(-3/2) assuming l is positive. l Simplify u**17*u**(-19)/u*u**(-15)/(u/u**(2/7)*u) assuming u is positive. u**(-138/7) Simplify ((j**(-3/2)/j*j/((j**(-2)*j)/j))/(j**(-2/17)*j**(-6/11)))**(2/73) assuming j is positive. j**(435/13651) Simplify (((t*t/(t*t/((t**(-6)/t)/t))*t)/(t**(2/7)*t*t))/((((t/(t**(-3/5)/t)*t)/t)/t)/(t/t**(6/5))))**29 assuming t is positive. t**(-11252/35) Simplify (((a/a**13*a*a)/(a/(((a**1*a)/a)/a*a)*a))/((a*a**1/a)/a)**35)**1 assuming a is positive. a**(-11) Simplify (r/r**(1/6))**44/((r**(5/2)*r*r)/(r/(r**(-2/11)/r))) assuming r is positive. r**(2267/66) Simplify ((h**(-2)/h)**(-26)/(h**(8/3)*h/h**(-2/3)))**(-8/17) assuming h is positive. h**(-104/3) Simplify (f**7*(f/f**(-1/7))/f)/(f*f/f**(-5)*f**0) assuming f is positive. f**(1/7) Simplify z/(z/(z**(-3/11)*z)*z)*z*z**29*z*z**2*z*(z/(z/(z**(2/53)*z*z))*z)/z assuming z is positive. z**(20851/583) Simplify (((i/((i/(i/(i/i**(-2))*i))/i)*i)/i)**29/((i/((i*i*i/(i**(1/3)/i*i)*i)/i*i))/i**(-3)))**24 assuming i is positive. i**(-8) Simplify (h*h**(-2))**(2/5)/(h*h/(h*h*h*h**(-4)*h))**(18/11) assuming h is positive. h**(-202/55) Simplify ((f/(f*f*f/(f*f**(-10))*f))/f)**(-1/3)/((f/(f/(f*f**(2/41)*f)*f))/(f**(4/15)*f)) assuming f is positive. f**(933/205) Simplify k/k**20*k*k*k/((k*k*k**(-1/7)*k*k)/k)*k*k/k**(-4/3)*k**(7/2) assuming k is positive. k**(-505/42) Simplify ((k**(-2/15)/k)/k**21)/(k/k**(-4)*k*k**(-4/17)) assuming k is positive. k**(-7114/255) Simplify (g**(-8/9)*g**(3/11))/(g**(9/5)*g*g*g**(23/5)*g) assuming g is positive. g**(-4958/495) Simplify d**9/d*d*d*(d/(d/(((((d*d**(-8))/d)/d)/d)/d)))/d*((d*d*d*d**(-14)/d*d)/d)/d*d*d**(-5/4) assuming d is positive. d**(-61/4) Simplify p**(1/3)/((p/(p/p**(-17)))/p)*(p**(-10/9)*p)/p*p*p**(2/5)/p assuming p is positive. p**(793/45) Simplify ((i/i**(-9/7))**(-12))**(12/11) assuming i is positive. i**(-2304/77) Simplify ((n/n**11)/n**(-1/2))/((n*n*n*n**(8/3)/n*n)/n*n**(-1/6)) assuming n is positive. n**(-14) Simplify ((r*r**(1/15))/(r*r*r**(-3/4)*r*r*r))/(r/r**(-1/8)*r*r**(-5/4)) assuming r is positive. r**(-487/120) Simplify ((v
{ "pile_set_name": "DM Mathematics" }
+ d. Calculate the lowest common multiple of v and j(-2). 30 Let c = 231 - 875/4. Let l = -176801/20 + 8842. What is the common denominator of l and c? 20 What is the least common multiple of 4 + (-1 - 3) + 2 - -148 and 6? 150 What is the smallest common multiple of (-2)/(15/40*(-12)/18) and 136? 136 Let j = 98 - 78. Suppose -36 - j = -2*r. What is the least common multiple of r and 8? 56 Let l = 3287765/2440296 + -2/33893. Find the common denominator of l and 35/72. 72 Calculate the least common multiple of 38 + (-25)/5 + -3 and 93. 930 Let n = -16 - -12. What is the common denominator of n/(300/55) - 1 and (-1631)/(-210) - (-2)/6? 30 Let v(t) = -t**2 - 6*t - 2. Let i = -12 - -22. What is the smallest common multiple of v(-5) and i? 30 Let z = -597 + 625. What is the least common multiple of 60 and z? 420 Let n(i) = 0*i - 5*i - 3 + 3*i. Let m be n(-4). Suppose -2*h = m - 37. Calculate the smallest common multiple of 22 and h. 176 Calculate the lowest common multiple of 75 and 8*184/240 + 4/(-30). 150 Let y be (-5)/6*1/6. Let v = y - -7/180. Let o = -28607/10 + 2863. Calculate the common denominator of v and o. 10 Suppose 14 = t - 0. Let u = -7 + t. Calculate the least common multiple of 8 and 1 - u/((-14)/4). 24 Let j(h) = h**2 - 18*h + 3. Let i(z) = -1. Let f(a) = -4*i(a) - j(a). Let d be f(10). Find the common denominator of d/(-4) + (-6)/24 and -7/4. 4 Let w(x) = -3*x**3 - 2*x**2 - 5*x - 2. Suppose d = -d - 8. Calculate the least common multiple of w(-1) and d/2 + -2 + 6. 4 What is the smallest common multiple of (-2)/2 + (-7)/(35/(-20)) and 32? 96 Let p = -867 - -915. What is the smallest common multiple of p and 16? 48 Let i(c) = c + 1. Let p(z) = 3*z**2 - 20*z + 44. Let s(m) = -2*i(m) + p(m). Calculate the smallest common multiple of s(6) and 16. 144 Suppose -x = -0*x + 5*l - 61167, 3*l = x - 61135. Let y = -824783/12 + x. Let d = y + 7592. What is the common denominator of 123/20 and d? 60 Let r = 535/3636 - -16/101. Find the common denominator of r and -11/156. 468 Let m(g) = g**3 - 6*g**2 + 2*g. Let z be m(6). Let c be (-4)/z*(37 - 4). Find the common denominator of 213/(-10)*c/(-33) and 5/22. 110 Let k = 29401/24 + -1227. Let q = -3525 - -70553/20. Calculate the common denominator of k and q. 120 Calculate the common denominator of 28/207 and (-26)/12 - (6 - -1). 414 Find the common denominator of 7/226 and (-106*5/(-30))/((-48)/9). 1808 Suppose 130 = 2*t + 2*b + 14, -5*t + 4*b = -281. Find the common denominator of ((-7)/21)/(11/t) and -35/6. 66 What is the smallest common multiple of (1 + -2)/(((-7)/(-14))/(-1)) and 28? 28 Suppose 53*k - 42*k = 363. Calculate the least common multiple of 192 and k. 2112 Let l = 7232 - 889489/123. Calculate the common denominator of 77/12 and l. 492 Let q = -9/920 + -58097/80040. What is the common denominator of q and 2/9? 261 Let l be (315/(-6))/(-5) + 4/(-8). Find the common denominator of ((-282)/105)/((-4)/l) and 20. 7 Find the common denominator of -29/390 and 5289/15990*(-1)/(-3). 390 Let v(r) = 3*r**3 - 4*r**2 - 7*r + 12. Let o be v(8). Let u = 351 - o. Let w = -7165/8 - u. Calculate the common denominator of -15/2 and w. 8 Suppose -5*s + 39 = z, 0 = 2*z + 5*s + 15 - 108. Suppose x = -5*j + z, 0*j + 4*j - 151 = -3*x. What is the common denominator of x and 45/7? 7 Suppose 5*c - 82 = 118. Let i be (-2)/(-3) + (-145)/3. Let k = c + i. Calculate the common denominator of 12/7 and k. 21 Let g be -6*(-3 + 2/6). Let s = 24 - g. Calculate the smallest common multiple of s and 3. 24 Let h = 2301/2 - 1120. Find the common denominator of h and -75/14. 14 Let b be (-3)/((15/2)/(-5)). Suppose -m = -b*m + 11. Suppose m + 33 = 2*g. What is the smallest common multiple of g and 12? 132 Suppose 2*k - 6110 - 6999 = 3*r, -4*k + 5*r = -26221. Find the common denominator of k/770 - 2/(-11) and 59/22. 110 What is the common denominator of (-56316)/8112 + 8/(-26) and -79/204? 204 Suppose -4*w - 3*t = 8, 3*w = w - 3*t - 4. What is the smallest common multiple of 19/3 - 4/(-6) and (-26)/w + 14/(-7)? 77 Let g = -50975/390192 - 1/24387. Calculate the common denominator of -55/112 and g. 1232 Suppose -3*j + 5*m - 10 + 108 = 0, 0 = 2*m - 4. What is the least common multiple of 216 and j? 216 Suppose 18*i + 3*y - 66 = 15*i, 2*y = 2*i - 12. Let t(k) = 25*k + 1. Calculate the lowest common multiple of t(1) and i. 182 What is the least common multiple of 7 - (-130)/(-20) - 1102/(-4) and 6? 276 Suppose 3*k + 10 = d, 2*d + 0*d + 24 = -5*k. Let s = 53 - 86. Calculate the common denominator of (d/s)/((-8)/138) and -83/4. 44 Suppose 2*t - 19 - 13 = -5*y, -y + t + 12 = 0. What is the smallest common multiple of y and 12? 24 What is the common denominator of (-114)/209 - 13/(-88) and -97/16? 176 Let d(u) = 2*u + 25. Let r be d(-10). Suppose 0 = a + 3, 2*a - r*a = 4*q - 39. Calculate the lowest common multiple of q and 8. 24 Let c be (113494/5)/((-176)/(-60)). Let z = c + -7740. Let y = -1137 - -11387/10. Find the common denominator of z and y. 110 Let s(w) = 4*w**2 + 3*w - 1 - 2*w**2 - 5*w. Let r be s(2). What is the common denominator of (-24)/(-44)*10/r and -43/5? 55 Calculate the common denominator of 21/2 and (-2307)/(-390) + (-6)/1. 130 Let g = 1 - -119. Suppose g = 4*p - 28. Let j = p + -19. Calculate the least common multiple of j and 26. 234 Suppose 5*f = -4*z + 143, z + 3*f = 3*z - 55. Let v be (-21)/(-2)*z/(-24). Calculate the common denominator of (-21)/v*130/54 and 67/22. 198 Let j = -761204641/160710 - 1371/5357. Let s = -4739 - j. What is the common denominator of -27/2 and s? 30 Let f = 12957/8 + -1623. Calculate the common denominator of -83/32 and f. 32 Let o = 639849/26 - 24613. Find the common denominator of -50/39 and o. 78 Let v(h) = h**2 - 7*h + 12. Let b be v(8). Let i(j) = -2*j + 6. Let o be i(8). Let t = b + o. What is the lowest common multiple of 20 and t? 20 Suppose -7 = -d + o, -3*o + 15 = d + 2*d. Calculate the least common multiple of 45 and d. 90 Suppose -x + 2*x - 2 = 0. Let p = -1434 + 1448. What is the lowest common multiple of p and x? 14 Let g(k) = 12*k - 366. Suppose 0 = -l + 5*q + 9, -l - 2*q = 4*l - 126. Calculate the smallest common multiple of l and g(31). 24 Let l(y) = 4*y**3 - 3*y**2 + 2*y - 6. Let c be l(4). Suppose -5*b + 7*b = -c. Find the common denominator of 53/20 and b/48 - 2/(-4). 80 Let a(l) = 18*l - 3*l**2 - 2*l**2 - 1526 + 4*l**2 + 1537. Find the common denominator of -89/10 and a(18). 10 Suppose -1 = 2*i + 2*l - 11, -4*i + 3*l = 1. Suppose 0 - i = -w. What is the least common multiple of (-12 - ((-10)/1 + 5))*-1 and w? 14 Calculate the common denominator of 13/67 and (-378)/(-630) - (-5 - (0 - 0)). 335 Let l = -49663/14 - -3549. Calculate the common denominator of ((-6)/80)/(7/(-756)) and l. 70 Let v = 263712403/12513306 + 4106/15223. Let t = -3/274 + v. Calculate the common denominator of -133/6 and t. 6 Let a = 717/2 + -1085/3. Let i be ((-1)/(-4))/(5/196). Let o = -472/15 + i. Find the common denominator of o and a. 6 Let w = 8034 + -128489/16. Let r = -6/151 - 111215/1812. Let l = 233/4 + r. Find the common denominator of l and w. 48 Let u(g) = -4*g**2 - 6*g - 15. Find the common denominator of u(-3) and 157/42. 42 Let d = -107 - -177. Calculate the lowest common multiple of d and 154. 770 What is the common denominator of -67/22 and ((-9017)/(-3048))/(1 + (-2)/8)? 198 Let l(w) = -9*w**3 + 3*w**2 - 7*w + 5. Let o(u) = 5*u**3 - 2*u**2 + 4*u - 3. Let b(c) = 6*l(c) + 11*o(c). Calculate the smallest common multiple of 6 and b(4). 30 Let y = 5161 - 8933. Let s = -26771146/9 + 2970808. Let a = s - y. What is the common denominator of a and 45/7? 63 Let b = 32 + -16. Calculate the least common multiple of b and 4/(2/(-40)*-5). 16 Let g = -7 + 11. Suppose n + g*n = 300. Suppose -2*y = -5*y + n. Calculate the smallest common multiple of y and 6. 60 Let w = 63728191/505806574 + 1/670831. Find the common denominator of -79/12 and w. 4524 Let l = -242536/37 + 6556. Let v = 193/296 + l. Let m = 174/61 + 2781/244. Calculate the common denominator of v and m. 8 Let z = 18 - 36. Let l = z - -22. Calculate the lowest common multiple of 7 and (-1)/((l/(-1))/24). 42 Let i be (1/(-2))/((-75)/(-20) - 4). What is the common denominator of 2/15 and i/4*(-927)/81? 90 Suppose 0*i + 2*i =
{ "pile_set_name": "DM Mathematics" }
en that 9*m**5 - 39*m**4 - 282*m**3 + 12*m**2 + 984*m + 576 = 0. -3, -2, -2/3, 2, 8 Solve 2*a**3/13 + 7036*a**2/13 + 6188162*a/13 = 0. -1759, 0 Factor 2*b**2/17 + 12*b/17 + 18/17. 2*(b + 3)**2/17 Factor 4*s**3 + 64*s**2 + 316*s + 480. 4*(s + 3)*(s + 5)*(s + 8) Factor -z**2 - 8*z + 9. -(z - 1)*(z + 9) Factor o**3/4 - 22*o**2. o**2*(o - 88)/4 Determine f so that 3*f**3/2 - 513*f**2 = 0. 0, 342 Factor 2*d**3/9 - 688*d**2/9 + 674*d/9 + 1372/3. 2*(d - 343)*(d - 3)*(d + 2)/9 Solve 3*d**4/4 + 219*d**3/4 + 48*d**2 - 441*d - 648 = 0 for d. -72, -2, 3 Suppose -2*i**3/7 - 92*i**2/7 + 42*i = 0. What is i? -49, 0, 3 Suppose -5*b**3 + 10*b**2 + 195*b + 360 = 0. What is b? -3, 8 What is g in -2*g**5/3 - g**4/3 + 8*g**3/3 + 4*g**2/3 = 0? -2, -1/2, 0, 2 Factor a**2/11 + 699*a/11 + 1394/11. (a + 2)*(a + 697)/11 Factor -31827*b**2/2 - 7107*b - 1587/2. -3*(103*b + 23)**2/2 Factor -4*w**3/9 - 88*w**2/9 + 844*w/9 + 928/9. -4*(w - 8)*(w + 1)*(w + 29)/9 Solve -j**2/4 + 43*j - 2635/4 = 0. 17, 155 Determine g, given that -16*g**4/5 + 6488*g**3/5 - 656097*g**2/5 - 329266*g/5 - 41209/5 = 0. -1/4, 203 Suppose -c**4/2 + 49*c**3 + 1167*c**2/2 + 1730*c + 1526 = 0. What is c? -7, -2, 109 Determine m so that -5*m**2 + 55*m + 630 = 0. -7, 18 Factor 55*h**2/2 - 40*h/3. 5*h*(33*h - 16)/6 Factor -4*g**3 + 1746*g**2 - 190968*g + 95048. -2*(g - 218)**2*(2*g - 1) Let -4*c**2 + 508*c = 0. Calculate c. 0, 127 Determine l, given that -2*l**2/11 + 62*l/11 = 0. 0, 31 Factor -4*u**3 - 1240*u**2/7 - 352*u/7. -4*u*(u + 44)*(7*u + 2)/7 Factor -4*z**3/5 - 188*z**2/5 - 704*z/5 - 688/5. -4*(z + 2)**2*(z + 43)/5 Solve 5*n**4 + 63*n**3 + 84*n**2 - 44*n = 0 for n. -11, -2, 0, 2/5 Factor 18*q**2 + 346*q + 76. 2*(q + 19)*(9*q + 2) Determine l, given that -l**4 + 43*l**3 - 600*l**2 + 2492*l + 3136 = 0. -1, 14, 16 Factor 2*h**4/9 + 4*h**3/9 - 14*h**2/9 + 8*h/9. 2*h*(h - 1)**2*(h + 4)/9 Factor -2*c**5 + 46*c**4. -2*c**4*(c - 23) Determine r so that r**5/2 - 5*r**4/4 - 4*r**3 + 13*r**2/4 + 7*r/2 - 2 = 0. -2, -1, 1/2, 1, 4 Factor -12*f**2 + 45*f + 12. -3*(f - 4)*(4*f + 1) Factor -2*d**3/5 - 874*d**2/5 - 97632*d/5 - 93312. -2*(d + 5)*(d + 216)**2/5 Let 2*l**2/3 + 8*l - 56/3 = 0. What is l? -14, 2 Factor -5*c**5 - 160*c**4 - 1920*c**3 - 10240*c**2 - 20480*c. -5*c*(c + 8)**4 Let y**4 - 2*y**3 - 73*y**2 + 218*y - 144 = 0. Calculate y. -9, 1, 2, 8 Factor 3*n**4/2 - 45*n**3. 3*n**3*(n - 30)/2 Factor -2*w**2/7 - 2*w/7. -2*w*(w + 1)/7 Find z, given that -5*z**2/2 - 2315*z/6 + 775/3 = 0. -155, 2/3 Let 2*i**2/7 - 100*i/7 - 318/7 = 0. What is i? -3, 53 Factor -2*j**3/3 + 28*j**2/3 - 130*j/3 + 200/3. -2*(j - 5)**2*(j - 4)/3 Factor 2*r**5 + 62*r**4 + 566*r**3 + 1346*r**2 + 1232*r + 392. 2*(r + 1)**3*(r + 14)**2 Factor -5*f**4 + 15*f**3 + 60*f**2 - 100*f - 240. -5*(f - 4)*(f - 3)*(f + 2)**2 Suppose 98*b**3/13 + 448*b**2/13 + 232*b/13 + 32/13 = 0. What is b? -4, -2/7 Find w such that -2*w**4/7 - 12*w**3/7 - 8*w**2/7 + 12*w/7 + 10/7 = 0. -5, -1, 1 Let -8*r**4 + 132*r**3 = 0. Calculate r. 0, 33/2 Factor 2*d**2 - 1608*d - 3224. 2*(d - 806)*(d + 2) Factor 9*u**4 - 14478*u**3 + 7766640*u**2 - 1391087232*u + 923943936. 3*(u - 536)**3*(3*u - 2) Factor n**3/8 + 6*n**2 - 51*n/2 + 26. (n - 2)**2*(n + 52)/8 Factor 10*x**5 - 194*x**4 + 1126*x**3 - 910*x**2 - 6664*x + 2744. 2*(x - 7)**3*(x + 2)*(5*x - 2) Find u such that -2*u**3 + 108*u**2 - 490*u = 0. 0, 5, 49 Determine t so that 4*t**4/3 + 212*t**3/3 - 2740*t**2/3 + 4828*t/3 - 768 = 0. -64, 1, 9 Find y, given that -2*y**2/13 - 34*y - 1308/13 = 0. -218, -3 Factor o**5 + 40*o**4 + 505*o**3 + 1610*o**2 - 4900*o + 2744. (o - 1)**2*(o + 14)**3 Factor -i**2 - 486*i + 3451. -(i - 7)*(i + 493) Find j such that -4*j**4 - 16*j**3 + 28*j**2 + 40*j = 0. -5, -1, 0, 2 Determine l, given that -3*l**3/7 + 51*l**2 - 2061*l/7 + 3051/7 = 0. 3, 113 Factor -5*n**3 + 175*n**2 - 170*n. -5*n*(n - 34)*(n - 1) What is l in -4*l**2 - 18336*l - 21013056 = 0? -2292 Factor p**3/3 - 8*p**2/3 + 4*p. p*(p - 6)*(p - 2)/3 Find z, given that 2*z**4/9 + 32*z**3/9 + 28*z**2/9 - 32*z/9 - 10/3 = 0. -15, -1, 1 Factor 5*x**4/4 + 23*x**3 + 561*x**2/4 + 595*x/2 + 98. (x + 4)*(x + 7)**2*(5*x + 2)/4 Find n such that 2*n**5 + 44*n**4 + 288*n**3 + 620*n**2 + 542*n + 168 = 0. -12, -7, -1 Determine q, given that 3*q**2/4 - 12*q - 171/4 = 0. -3, 19 Factor -2*o**3/11 + 672*o**2/11 - 2664*o/11 + 2656/11. -2*(o - 332)*(o - 2)**2/11 Determine a so that 5*a**5 + 30*a**4 + 10*a**3 - 80*a**2 - 15*a + 50 = 0. -5, -2, -1, 1 Factor -2*c**4 - 2306*c**3. -2*c**3*(c + 1153) Solve -2*j**4/5 + 116*j**3/5 - 336*j**2 - 116*j/5 + 1682/5 = 0. -1, 1, 29 Factor -13*s**4/2 + 141*s**3 + 44*s**2. -s**2*(s - 22)*(13*s + 4)/2 Determine y, given that -y**4/4 + 5*y**3/4 + y**2 - 5*y = 0. -2, 0, 2, 5 Solve 4*b**3 - 316*b**2 + 6396*b - 6084 = 0. 1, 39 Factor -g**5/4 - 19*g**4 + 120*g**3 - 244*g**2 + 164*g. -g*(g - 2)**3*(g + 82)/4 Solve -5*a**4 + 10*a**3 + 145*a**2 + 210*a = 0. -3, -2, 0, 7 Factor -12*v**3 + 291*v**2 - 255*v - 558. -3*(v - 2)*(v + 1)*(4*v - 93) Determine b, given that -b**5 + 94*b**4/3 - 704*b**3/3 - 512*b**2/3 = 0. -2/3, 0, 16 Factor -2*k**3/9 - 16*k**2/9 + 130*k/9 + 112. -2*(k - 8)*(k + 7)*(k + 9)/9 Factor 33*i**5 + 84*i**4 + 36*i**3. 3*i**3*(i + 2)*(11*i + 6) Factor 6*o**2/7 - 1094*o + 2552/7. 2*(o - 1276)*(3*o - 1)/7 What is v in 4*v**2 + 104*v + 100 = 0? -25, -1 Factor i**2/8 + 139*i/4 - 70. (i - 2)*(i + 280)/8 Find k, given that 4*k**4 + 20*k**3 - 172*k**2 + 268*k - 120 = 0. -10, 1, 3 Factor b**2/5 - 376*b/5 + 1488/5. (b - 372)*(b - 4)/5 Let 2*u**3 - 42*u**2 - 2640*u - 5096 = 0. Calculate u. -26, -2, 49 Solve -k**4/7 - k**3 + 20*k**2/7 + 132*k/7 - 144/7 = 0. -6, 1, 4 Factor -j**2 - 38*j + 39. -(j - 1)*(j + 39) Factor 2*s**5/7 - 16*s**4/7 - 38*s**3/7 - 20*s**2/7. 2*s**2*(s - 10)*(s + 1)**2/7 Solve -2*f**4/7 - 44*f**3/7 - 174*f**2/7 + 316*f/7 + 64 = 0. -16, -7, -1, 2 Let -2*l**2/19 + 9840*l/19 - 12103200/19 = 0. What is l? 2460 Factor -4*f**3 - 36*f**2 + 64*f + 240. -4*(f - 3)*(f + 2)*(f + 10) Factor 2*n**4 - 120*n**3 + 114*n**2 + 236*n. 2*n*(n - 59)*(n - 2)*(n + 1) Factor 4*q**2 - 2808*q + 492804. 4*(q - 351)**2 Factor -s**2/10 - 96*s/5 - 38. -(s + 2)*(s + 190)/10 Find s such that 2*s**3 - 208*s**2 + 6794*s - 66564 = 0. 18, 43 What is u in 9*u**2/2 - 61*u/2 - 7 = 0? -2/9, 7 Determine w, given that -2*w**5 + 26*w**4 - 24*w**3 = 0. 0, 1, 12 Suppose 5*z**3 + 1625*z**2 - 5*z - 1625 = 0. Calculate z. -325, -1, 1 Factor s**3/2 - 509*s**2/2 + 32000*s + 98304. (s - 256)**2*(s + 3)/2 What is k in k**5/3 - 8*k**4/3 + 22*k**3/3 - 28*k**2/3 + 17*k/3 - 4/3 = 0? 1, 4 Factor h**4 + 151*h**3 - 153*h**2 - 151*h + 152. (h - 1)**2*(h + 1)*(h + 152) Find d, given that -20*d**3 - 85*d**2 - 80*d - 15 = 0. -3, -1, -1/4 What is w in w**4/5 - 224*w**3/5 = 0? 0, 224 Factor k**5/5 - 2*k**4 + 24*k**3/5 - 22*k**2/5 + 7*k/5. k*(k - 7)*(k - 1)**3/5 Let s**2/3 + 86*s/3 + 1849/3 = 0. Calculate s. -43 Solve -m**3 - 391*m**2 + 785*m - 393 = 0 for m. -393, 1 Solve 3*k**3/5 + 61*k**2 + 498*k/5 - 40 = 0 for k. -100, -2, 1/3 Find j such that -2*j**2/15 - 154*j/15 = 0. -77, 0 Factor j**2/3 + 8*j/3 + 7/3. (j + 1)*(j + 7)/3 Suppose -t**3/4 - 11*t**2/4 - 8*t - 7 = 0. Calculate t. -7, -2 Solve f**2/5 + 44*f/5 - 60 = 0. -50, 6 Let q**5 - 18*q**4/5 + 2*q**3/5 + 24*q**2/5 - 7*q/5 - 6/5 = 0. Calculate q. -1, -2/5, 1, 3 Let -2*w**2 + 18*w + 44 = 0. What is w? -2, 11 Solve 2*p**2 + 22*p - 24 = 0. -12, 1 Find w such that -9*w**3 - 3*w**2 + 6*w = 0. -1, 0, 2/3 Factor v**2/6 - 133*v/6 - 715/3. (v - 143)*(v + 10)/6 What is c in -3*c**4/7 - 18*c**3 - 1431*c**2/7 - 2040*c/7 + 3600/7 = 0? -20, -3, 1 Factor 14*u**3/9 + 620*u**2/9 + 778*u/9 + 172/9. 2*(u + 1)*(u + 43)*(7*u + 2)/9 Let -4*w**4/7 + 44*w**3 - 6884*w**2/7 + 5140*w - 4200 = 0. What is w? 1, 6, 35 Determine y, given that -4*y**3 + 16*y**2 - 12*y = 0. 0, 1, 3 Determine d, given that d**5 - 27*d**3 + 54*d**2 = 0. -6, 0, 3 Factor t**4/8 + 3*t**3/8 - 9*t**2/8 + 5*t/8. t*(t - 1)**2*(t + 5)/8 Factor -2*f**2/7 + 23388*f/7 - 68374818/7. -2*(f - 5847)**2/7 Factor -28*g**3 - 24*g**2 + 148*g - 96. -4*(g - 1)*(g + 3)*(7*g - 8) Factor 3*x**3/4 - 27*x**2/4 + 45*x/4 - 21/4. 3*(x - 7)*(x - 1)**2/4 Factor -h**4/4 + h**3/2 + h**2 - h/2 - 3/4. -(h - 3)*(h - 1)*(h + 1)**2/4 Let -2*w**5 + 8*w**4 + 2154*w**3 + 23112*w**2 - 25272*w = 0. What is w? -18, 0
{ "pile_set_name": "DM Mathematics" }
n the form y*r**2 + h + t*r and give t. 956 Express 2*o + 10*o**2 + 0*o - 4*o + 6*o + 1 + o**3 - 3*o in the form q*o**2 + b*o**3 + c*o + d and give c. 1 Express 9210*p + 8172*p - 35997*p in the form d + i*p and give d. 0 Express 21*i + 11*i - 75*i**3 + 12 + i**2 - 9 - 35*i in the form b + u*i**2 + f*i**3 + j*i and give f. -75 Rearrange 32 + 27 - 4407*f - 6199*f - 59 to the form w*f + t and give t. 0 Express r - 6*r - 3 + 16*r + 0*r - r + 2*r + 1 - r - 1 + 4*r - 10*r - 21*r + (r + r + 0*r)*(-2 + 0 + 4) + 0*r + 0*r + r as b*r + v and give v. -3 Express (2 - 2 - 3*l)*((l**2 - 6*l**2 + 2*l**2)*(0 - 2 + 1) - 1202*l**2 + 2735*l**2 - 1301*l**2) in the form a*l**3 + b + m*l + t*l**2 and give a. -705 Rearrange (5 + 0 + 8)*(314*m - 386*m - 229*m) to f + i*m and give f. 0 Express (-120*b**3 + 55*b**3 + 2*b - 11*b**4 + 63*b**3)*(-41 + 3 - 21) in the form i*b**4 + d + a*b**3 + p*b**2 + h*b and give h. -118 Express 5 - 14*m**2 - 3 - 92*m**2 + 17*m**2 - 295*m**2 in the form s + a*m + j*m**2 and give j. -384 Rearrange -416 + 2*u**4 + 284174*u**2 - 284173*u**2 + 4410 to the form r*u**2 + z*u**3 + k + m*u + n*u**4 and give r. 1 Express (0*s + 3*s - s)*(0 + 0 + 2*s) - 10 + 10 + 9*s**2 - 2*s + 2*s + 2*s**2 + (-5*s**2 + 2 - 2)*(64 + 11 + 2) in the form l*s + w*s**2 + z and give w. -370 Rearrange 332*r - 30*r - 129*r + 813*r to the form x*r + y and give x. 986 Express ((-4 + 0 + 3)*(0 - 1 + 0) + 0 + 1 + 0 + 4 + 60 - 4)*(-2 + 7 - 2)*(-12*z - 29*z + 11*z) in the form v*z + u and give v. -5580 Express 728*g**3 + g**4 - 1433*g**3 + 4*g + 0*g + 4 + 715*g**3 + 2*g**2 - g in the form d*g**4 + r*g**3 + a + y*g**2 + u*g and give a. 4 Rearrange (-5*a + 18 - 18)*((-1 + 3 - 1)*(1 - 1 + a) + 0*a - a + 5*a)*(-107*a + 53*a + 50*a + 2) to o + u*a + h*a**3 + y*a**2 and give o. 0 Rearrange 36*g + 253 - 77 + 393 - 34*g - 71 to the form d*g + w and give w. 498 Express -291*p**4 + 1 + 4*p**3 + 134*p**4 + 7*p + 168*p**4 - 6*p**2 in the form r*p**4 + d + f*p**3 + s*p + t*p**2 and give f. 4 Rearrange 52 - 102*u**2 - 51*u - 145 + 67*u + 52 + 43 to the form b*u + s + v*u**2 and give s. 2 Express (483*o + 50*o**2 - 238*o - 245*o)*(-3 - 2 + 4) + (o**2 - 2*o**2 - 3*o**2)*(-2 + 2 - 5) as t + h*o + k*o**2 and give h. 0 Rearrange (5 - 14 - 29)*(-2*m + m + 0*m) + (1 + 1 + 1)*(4 + 11*m - 4) to r + n*m and give n. 71 Rearrange -269 + 248*x**2 - x**3 + 987 - 249*x**2 + 658 to a*x + u + b*x**2 + j*x**3 and give a. 0 Express 0 + 565*y + 213*y + 5 - 2 - 161*y as u + o*y and give u. 3 Express (7*b**2 + 7*b**2 + 3*b**2)*(-4*b + 2*b + b)*(14*b + 115*b + 72*b) in the form u*b**4 + p + j*b**3 + i*b + x*b**2 and give u. -3417 Rearrange r + 843013 + 843012 + 4807*r**3 + 3377*r**3 - 1686025 + (r**2 + r**2 - r**2)*(2*r + 2 - 2) to the form u*r**3 + c + l*r**2 + y*r and give u. 8186 Express 20*g + 21*g + 12*g - 72*g - 2377 + 20*g as j*g + x and give x. -2377 Rearrange (31 - 31 + 11*v)*(15*v**2 + 100*v**2 + 6*v**2 - v**2 + 0*v**2 + 0*v**2 + (-v - 3 + 3)*(-4*v + 0*v + 5*v)) to i*v**3 + l*v + t*v**2 + j and give i. 1309 Express (-2 + 2 - 3)*(-3996*k - 76 + 23 + 33 + 22) as m*k + f and give m. 11988 Express (4*u + 2*u + 3*u)*((-4*u + 3*u + 0*u)*(-1 + 2 + 0) + 2 - 2 - 3*u + u - 2*u - 10*u) in the form c*u + b*u**2 + t and give b. -135 Express -578*z + 3 + 132*z + 226*z + 563*z**2 + 220*z as v + u*z**2 + a*z and give u. 563 Express 191*v - 50 + 280*v - 469*v in the form z + n*v and give z. -50 Rearrange (1894 + 9*z - 1894)*(-z - 1 + 1 + (1 - 2 + 3)*(3*z + 0*z - 2*z) - 8*z + 8*z - 7*z) to the form q + l*z**2 + w*z and give l. -54 Express 22918*i - 22956*i - 24387*i as m + v*i and give m. 0 Rearrange (-599 + 2771 + 3633)*(-1 + 1 - 2*u - u + 4*u - u + (-3 + 6 - 1)*(3*u + 0*u - u) + 3*u - u - u - u + 1 - 1) to m*u + f and give m. 23220 Express 2*i**4 + 2 + 244*i - 2*i**3 - 96*i - 624*i**2 - 150*i as s + q*i**2 + n*i + u*i**3 + z*i**4 and give u. -2 Rearrange (13070 - 471*s - 13070)*(-6*s + 8*s - 19*s) to y*s + u*s**2 + d and give u. 8007 Rearrange 403 - y**4 + y - 2*y**3 + 405 + 2*y**2 - 798 to n*y**3 + a*y + i + l*y**2 + w*y**4 and give i. 10 Express (0 + 0 - 2*g)*(-113*g**2 - 22*g**2 - 838*g**2 - 4 + 4 + 3*g**2 + (-g + 2*g + g)*(1 - 1 - 2*g)) in the form b*g + f*g**3 + u*g**2 + j and give b. 0 Rearrange 1935*r**2 - 3866*r**2 - 6*r - 21 + 1926*r**2 + 0*r to y*r + h*r**2 + c and give y. -6 Rearrange z - z + 4 + 6975*z**2 - 8473*z**2 + 0*z to a + o*z**2 + l*z and give o. -1498 Express 5*j + 9577 - 11*j - 9586 - 13*j in the form c + p*j and give c. -9 Express (0 - u + 0)*(18 + 19*u**2 - 18) - 2*u**3 - 2221*u**2 + 2*u + 32 + 2221*u**2 in the form s + t*u**2 + x*u**3 + v*u and give s. 32 Express (489975 - 489976 + 1469*q**2 + 2035*q**2)*(2 + 1 - 2) as y*q**2 + t + r*q and give t. -1 Rearrange -82124*t**3 + 164246*t**3 - 82118*t**3 + 146*t**2 to a*t + m*t**2 + h*t**3 + j and give h. 4 Rearrange (3*i + 3*i - 3*i)*(i - 3*i + 4*i)*(-67*i + 21*i - 114*i) to the form p*i**2 + q + t*i + w*i**3 and give w. -960 Rearrange (-79 + 35 + 37)*(-1 - 1 + 3)*((11 - 5 + 9)*(-4*n + 4*n + 2*n) + n - 5*n + n) to the form p + l*n and give l. -189 Express 2 + 3*n**4 + 151*n**2 + 179*n**2 - 12*n**4 - 231*n**2 in the form a*n**3 + m + s*n**4 + p*n + v*n**2 and give m. 2 Rearrange (3 + 1 - 7)*(0*s + 3*s - 2*s) + (-2 + 6 - 2)*(-1931*s - 1916*s + 4104*s) to p*s + b and give p. 511 Express (-2*d - 2*d + 5*d)*(-1 + 2 + 0) - 23 - 13*d + 23 + 0*d - 3*d + d - 3367 + 114*d + 3367 in the form q*d + j and give q. 100 Rearrange -202*i - 62*i**4 - 822*i + 64*i**4 + (2*i**3 + 0*i**2 + 0*i**2)*(3*i - i - i) to the form z*i + l*i**3 + t + x*i**4 + g*i**2 and give z. -1024 Rearrange -51*p + 208*p + 152*p + 156*p + 187*p to the form x*p + v and give x. 652 Express (2*w + 0*w - w)*(2*w**2 - 8*w**2 + 2*w**2) + (50*w**2 + 58*w**2 - 107*w**2)*(w - 3*w + 0*w) as a + v*w**3 + f*w**2 + l*w and give v. -6 Express -3416*u - 25888 + 25888 in the form i + c*u and give c. -3416 Rearrange 1736*o**2 - 1738*o**2 + 17*o - 256*o**3 + 39*o**3 + 11*o to f*o**3 + y + a*o**2 + i*o and give a. -2 Express 6 + 3*u - 18 - 5*u + 11*u**4 + 25 - 9 - u**2 as s*u**2 + n*u + c + p*u**3 + y*u**4 and give y. 11 Rearrange b**2 - 3*b**2 - 4*b**2 + (1 + b - 3 - 3)*(b - 3*b - 5*b)*(1 - 5 + 0) to the form h*b + o + p*b**2 and give p. 22 Rearrange (29*u + 62*u - 2*u)*((0 + 0 + u)*(-1 + 5 - 1) + 3*u - 14*u + 0*u) to x*u**2 + r*u + q and give x. -712 Express -21036*h**2 + 1036*h**2 - 3506*h**2 - 1655*h**2 in the form p*h + w + n*h**2 and give n. -25161 Express -132*y**3 + 139*y**3 - 6*y - 2*y - 3*y**2 in the form n*y + l + r*y**2 + j*y**3 and give n. -8 Express (5*k**2 - 5 - 8*k**2 + 2*k**2)*(-127 - 78 + 115) in the form d*k + l*k**2 + u and give u. 450 Rearrange ((11*v - 3*v + 3*v)*(7 - 7 - 3*v) + 23*v**2 + 10*v**2 - 21*v**2)*(74*v - 74*v + 33*v**2) to the form f*v + o*v**2 + r + k*v**4 + j*v**3 and give k. -693 Rearrange (193*u**2 - 62*u**2 + 5370 - 5375)*(-228*u + u**2 + 223*u + u**2) to s + t*u**2 + m*u**4 + i*u + o*u**3 and give o. -655 Rearrange 56*o**2 + 7*o - 41*o**2 + 4 + 3*o - 21*o**2 to the form b*o + l*o**2 + p and give l. -6 Express (2*z - 7*z + 0*z)*(5354*z - 2 + 7 - 5344*z + (0*z - 5*z + 3*z)*(-6 + 2 - 1)) in the form b + l*z**2 + j*z and give j. -25 Rearrange (-2 + x - 4*x + 5*x)*(-1 + 1 - 2*x)*(x - 4*x + 2*x) - 326 + 326 + 52*x**3 to the form o*x**2 + p*x**3 + z*x + n and give p. 56 Rearrange (5 - 4 + 3)*(c + 14*c - c)*(10 + 1 - 4) to the form f + u*c and give u. 392 Rearrange 3*k**2 + 87 - 126*k**3 + 127*k**3 + 284*k**4 - 87 to g + u*k + l*k**3 + h*k**2 + x*k**4 and give x. 284 Express (0*n**2 + 2*n**2 - 4*n**2)*(-7585*n - 102*n**2 + 7585*n) - 7*n**3 + 7*n**3 + 2*n**4 in the form p*n**4 + g*n + d*n**3 + w + s*n**2 and give p. 206 Rearrange (-4 - 13 - 2)*(2*l - l + l)*(-213*l**3 + 128*l**3 + 204*l**3) to the form x*l**2 + y*l**4 + f*l**3 + t + j*l and give y. -4522 Express 3170*v**2 - 3194*v**2 - 33*v + 32*v + 2 in the form b + f*v + p*v**2 and give p. -24 Rearrange -3*v**3 - 5*v + 13*v - 674*v**2 + 2 + 650*v**2 + 36*v**4 - 6*v - 19*v**4 to the form q + k*v**4 + t*v + h*v**3 + l*v**2 and give l. -24 Rearrange 127*z**3 - 1251981*z**2 + 19*z + 1251981*z**2 to the form j*z**2 + n*z**3 + d + r*z and give n. 127 Express (94*t - 22 + 22)*(-9 + 0 + 0)*(4 + t - 4) - t**2 + 0*t + 0*t + (t - t - 2
{ "pile_set_name": "DM Mathematics" }
*u = 4*h + u, 2*h = 5*u + 3. Which is the third smallest value? (a) -1/2 (b) h (c) r c Suppose -257*q = -245*q + 708. Which is the second smallest value? (a) 0.3 (b) -0.5 (c) q b Let k = -0.001 - 0.999. Let x = -16 + 16. Which is the third biggest value? (a) 1 (b) k (c) x b Let w = 20/27 - 11/27. Let s = 0.3 - 0.8. Let n = -0.08 + -2.92. What is the second biggest value in w, n, s? s Let p = 17.93 + -18. Let c = p - 2.93. Let g = 21/58 + 53/174. What is the second smallest value in g, -1/6, c? -1/6 Let l = -163/5 + 33. Let m = -7 + 7.1. What is the third smallest value in m, l, 1/5? l Let q = -1636 + 6543/4. Which is the biggest value? (a) 14/23 (b) 0.5 (c) q (d) 3/7 a Let z = 1 + -0.7. Let d = 766 + -766. Let s be (-2 - -9)/(2/4). Which is the second biggest value? (a) d (b) z (c) s b Let x = 5.6 + -8. Let f be 70/(-720) - ((-16)/(-9) - 2). Let q = 13 - 16. Which is the smallest value? (a) x (b) f (c) q c Let q = -277 - -280. Which is the second smallest value? (a) -2 (b) -10 (c) q (d) -0.2 a Suppose 5*n = -v - 13, -5*n = -v - v + 4. Let w = -1.2 - -1.4. Which is the third smallest value? (a) v (b) 6 (c) 0 (d) w d Let u = -6.3 - -6. Let v = -240 - -240.4. Which is the second biggest value? (a) 1 (b) v (c) u b Suppose -1 = 2*s - 2*i + 1, 4*s = -2*i + 14. Suppose 30 + 30 = 12*g. Which is the biggest value? (a) -2/11 (b) s (c) g c Suppose 124 = -41*h - 40. Which is the second smallest value? (a) h (b) 4 (c) -2.9 c Suppose 6*p = -75 + 99. Let q(w) = w**3 + 7*w**2 - w - 5. Let o be q(-7). Which is the third biggest value? (a) 1/2 (b) p (c) o a Let q = 19.9 - 20. Let w = -5/14 + 11/70. Which is the third biggest value? (a) q (b) 0.2 (c) w c Let l = 1.03 - 1.13. Let a = 10 - 10.3. Let i = a + 0.6. What is the smallest value in i, l, -3? -3 Let b = -36.6 + 32. Let f = b + -0.4. What is the second biggest value in f, 0.2, 2/7? 0.2 Let r = -387 + 390. Which is the third smallest value? (a) -3/7 (b) -3 (c) 0.7 (d) r c Let s = -82.6 - -82.8. What is the third biggest value in 2/11, 1/9, s? 1/9 Let u = 175 + -174. Let t(m) = -m**2 + 4*m - 4. Let p be t(3). Which is the biggest value? (a) u (b) 0.2 (c) p a Let y be 3*8/(-21)*(-4)/8. Which is the fourth biggest value? (a) -5 (b) -3/5 (c) y (d) 0.7 a Let d = -25.075 + 0.075. Let j = -25.4 - d. Which is the third biggest value? (a) j (b) 0.07 (c) 2 a Let y = -301.6 - -302. Which is the third smallest value? (a) 12.2 (b) y (c) -3 (d) -1 b Let n = 0.183 - 0.203. What is the second smallest value in 2/9, n, 15/2, 0.1? 0.1 Let l = 202 - 201.8. Let z = -46/7 + 136/21. Which is the smallest value? (a) -0.2 (b) l (c) z a Let k = -370816/21 - -17658. Let n = -1 + 4. Which is the third smallest value? (a) k (b) -1 (c) n c Let d = 37.38 + -38. Let g = -1.38 + d. What is the third biggest value in g, 1/5, -1/4? g Suppose -11 - 7 = 6*q. Which is the second smallest value? (a) -0.22 (b) -0.2 (c) 3 (d) q a Suppose 0 = 6*z - z. Let g = -0.2 + -1.8. What is the second smallest value in g, z, 0.08? z Suppose -3*p + 4*z = -2 + 16, 0 = -5*p + 5*z - 20. Which is the second smallest value? (a) 2/3 (b) -2.2 (c) p c Let f = 72 + -71.94. Let d = f - 0.26. Which is the second biggest value? (a) -3 (b) d (c) 3 b Let i = 1 + -0.957. What is the smallest value in 3, -1/3, i? -1/3 Let b = 282 - 287. What is the third smallest value in b, 1/4, 1/15? 1/4 Let v = 113/4 - 28. Let r = 2.3 + -1.9. Let q = -0.4 + r. Which is the third smallest value? (a) q (b) -2 (c) v c Let i = -101 - -97.95. Let j = 0.05 + i. Let z = -1.06 - -0.06. Which is the second smallest value? (a) 1 (b) j (c) z c Suppose -4*m = 3*l - 65, l = -4*m - 6 + 17. What is the second biggest value in l, 0.01, -3/4? 0.01 Let j(w) be the first derivative of 13*w**2/2 - 11*w + 36. Let q be j(1). Which is the smallest value? (a) -4 (b) q (c) -0.7 a Let l = -4.0095 + 0.0095. Which is the fourth smallest value? (a) l (b) 0 (c) 12 (d) -3 c Let o be ((-2)/(-30))/((-70)/(-525)). What is the third biggest value in o, 4, 20? o Let v = -179/182 + 33/26. Which is the second smallest value? (a) 0.4 (b) 2 (c) -4/3 (d) v d Let i = -12.6 - -12.715. Let k = i - 1.115. What is the fourth smallest value in -0.2, -3/4, k, -1/2? -0.2 Suppose 0*t - t - 4*y + 8 = 0, 4*y = -4*t + 80. Let f be 1 + 0 - 3*16/t. Which is the second biggest value? (a) 0.1 (b) 1/2 (c) f a Let m = 26.016 - 26. Let t = -2.016 + m. Which is the fourth biggest value? (a) t (b) 0 (c) -2/5 (d) -0.3 a Let v = -5.04 + 4.64. What is the second smallest value in -3/7, -0.09, v, 3? v Let n = 0.098 - -24.902. Let i = 28 - n. What is the biggest value in -1, 1/2, i, -3? i Let l = 27 + -26.9. Suppose -j - 3 = -2. Let m be 20/9 + (j - 1). Which is the second smallest value? (a) m (b) l (c) 0 b Let r = 17.1 - 13.1. Which is the biggest value? (a) -7 (b) -2/7 (c) r (d) -0.4 c Let f = -0.6 + -2.4. Let t = 240.5 + -243. Let i = t - f. What is the biggest value in -2/13, 0.7, i? 0.7 Suppose g + 2 = 0, g - 79 = -5*a + 3*g. Let k be ((-1)/3)/(35/a). Let f be (-50)/114 - ((-4)/(-4))/(-3). What is the third smallest value in 0.5, k, f? 0.5 Let x = 5 - 7.3. Let r = x + 5.3. Which is the biggest value? (a) r (b) 3/2 (c) 0.3 a Let h(v) = -v + 7. Let z be h(8). Let y(t) = -8*t + 64. Let j be y(8). Which is the second biggest value? (a) z (b) 4 (c) j (d) -2 c Let g = 0.02 + -2.02. Let i = -601/7 - -85. Which is the third smallest value? (a) g (b) 0.1 (c) 0 (d) i c Let g = -9 - -16. Let x = 25 + -24.85. Let w = -3.15 + x. Which is the biggest value? (a) 0.2 (b) g (c) w b Let o = -8.39 - -6.8. Let i = -0.41 + o. What is the second biggest value in i, 2/9, 9/2? 2/9 Let n = -1.899 - -1.853. What is the smallest value in -0.4, n, -0.8? -0.8 Let x = 435 + -441.525. Let r = x + -0.075. Let s = -1.6 - r. What is the third biggest value in -0.2, s, 4/3? -0.2 Let r(u) = -u**3 + 3*u**2 + 12*u - 3. Let s be r(6). Let y = s - -37. Let x be (-88)/(-150) + 6/(-9). Which is the third biggest value? (a) x (b) y (c) 0 b Let p = 4.13 + -0.13. Let n = -3 - p. Let t = -0.3 - 0.2. Which is the second smallest value? (a) n (b) t (c) -0.4 b Let x = 220 - 216. Which is the smallest value? (a) x (b) -0.4 (c) 0.05 (d) 0.2 b Let k = 1325.5 - 1326. Which is the fourth smallest value? (a) 2/29 (b) k (c) -1/4 (d) 0 a Let a = 16.06 + -16.16. What is the second biggest value in 5, -33, -1, a? a Suppose -2*y + 3*y = 0. Let c be (18 + -2)*((-35)/5)/(-28). What is the third smallest value in 1/4, y, c, -1? 1/4 Let n = 7 + 29. Let u = 86 + -61. Let t = n - u. Which is the third smallest value? (a) -0.2 (b) -1 (c) t c Let n be ((-4)/(-64))/((-1)/(-2)). Let r = 1/8 + n. What is the smallest value in r, 0, 5? 0 Let x = 37/5 - 79/10. Let l be ((-2 - -2) + 1)/10. What is the third biggest value in x, -13, l? -13 Let n = 0.1 + 77.9. Let z = n + -81. Which is the second biggest value? (a) z (b) -4/5 (c) -5 a Let v = 137 - 53. Let i be (-1)/2*v/315. Which is the second biggest value? (a) i (b) 2 (c) -2 a Let t = 0.2 + -2.2. Let u = 4.5859 + 0.4141. Which is the fourth biggest value? (a) u (b) 2 (c) -1 (d) t d Suppose 8*h + 5*u - 5 = 12*h, 3*h + 3*u = 30. What is the second biggest value in 0.4, h, 41? h Suppose -3*s + 6*s - 4*w = 19, 2*s + 14 = -4*w. Let l = 0.17 - -1.83. Let k = 2.4 - 2. What is the third smallest value in l, k, s? l Let p = -1.103 - -0.103. Let b be (-9)/(-3) + (0 - 1). What is the fourth smallest value in 4, p, b, 2/7? 4 Let k be (-112)/56 + 14/5. Let r = 0.05 - 0.06. Let s = 0.39 - r. What is the third biggest value in -3, s, k? -3 Let v = 1 + -3. Let h = 1315/8 + -5257/24. Let l = 54 + h. What is the third biggest value in -1, l, v? v Let f = -1.8 - 7.2. Let t = -76/3 - -26. Which is the third biggest value? (a) t (b) 3 (c) f c Let o = 643 - 638. What is the biggest value in 0.3, o, -1/28? o Let q = -1.26 + -0.74. Let p = q - -2.1. Which is the smallest value? (a) -5 (b) -2 (c) 2 (d) p a Let u = -583/9 + 65. Suppose 4*m - 7 = t - 35, -4*m = 5*t + 4. Let p be 0/m*(-1)/2. Which is the smallest value? (a) 3 (b) u (c) p c Let n = -4679.9 + 4976. Let o = -309 + n. Let g = 13 + o. Which is the third smallest value? (a) 1
{ "pile_set_name": "DM Mathematics" }
738 How many nanometers are there in 11/8 of a micrometer? 1375 How many centuries are there in 2757.942 decades? 275.7942 Convert 465526.8 centuries to decades. 4655268 How many kilograms are there in 1/4 of a tonne? 250 How many millilitres are there in 1.438197 litres? 1438.197 How many millimeters are there in 3/8 of a meter? 375 What is 17/4 of a micrometer in nanometers? 4250 Convert 340993.8 litres to millilitres. 340993800 How many months are there in 78443.36 years? 941320.32 What is 9368.49 nanograms in milligrams? 0.00936849 What is three fifths of a meter in millimeters? 600 Convert 52.30885us to nanoseconds. 52308.85 What is one fifth of a centimeter in millimeters? 2 How many nanometers are there in 0.074031 millimeters? 74031 How many nanograms are there in seventeen halves of a microgram? 8500 How many milliseconds are there in 245.955 hours? 885438000 How many nanograms are there in fourty-four fifths of a microgram? 8800 What is one quarter of a millennium in months? 3000 What is 565202.8 millilitres in litres? 565.2028 What is 821394.5ug in tonnes? 0.0000008213945 What is 2.153349km in nanometers? 2153349000000 What is five quarters of a litre in millilitres? 1250 How many centimeters are there in 45/2 of a meter? 2250 What is 9440.377ng in tonnes? 0.000000000009440377 Convert 6.000543 centuries to decades. 60.00543 How many centuries are there in 101098.5 millennia? 1010985 What is 12/25 of a meter in millimeters? 480 What is 0.924606 nanograms in kilograms? 0.000000000000924606 What is 3/8 of a litre in millilitres? 375 Convert 7.207198t to kilograms. 7207.198 Convert 335.5497ug to nanograms. 335549.7 How many nanometers are there in 21/2 of a micrometer? 10500 How many milligrams are there in 1/5 of a gram? 200 How many centimeters are there in 38847.41km? 3884741000 What is 7/4 of a micrometer in nanometers? 1750 What is 63.2903 centuries in months? 75948.36 How many kilograms are there in 11/8 of a tonne? 1375 How many litres are there in 0.5177397ml? 0.0005177397 How many days are there in 260135.118 nanoseconds? 0.000000003010823125 What is 8.675603 hours in minutes? 520.53618 How many hours are there in 326.40543 microseconds? 0.000000090668175 How many months are there in two fifteenths of a millennium? 1600 How many meters are there in 6/5 of a kilometer? 1200 What is one tenth of a century in years? 10 What is 1/20 of a tonne in grams? 50000 How many months are there in 2/75 of a millennium? 320 How many millennia are there in 71.40185 centuries? 7.140185 How many litres are there in 262.0951ml? 0.2620951 What is 0.6680529m in kilometers? 0.0006680529 How many nanometers are there in 13/4 of a micrometer? 3250 How many kilograms are there in one fifth of a tonne? 200 How many millilitres are there in fifteen quarters of a litre? 3750 Convert 407.014g to nanograms. 407014000000 How many millilitres are there in 56.45355l? 56453.55 What is thirty-seven halves of a millennium in decades? 1850 How many nanometers are there in 82.12236 centimeters? 821223600 How many milligrams are there in 57/2 of a gram? 28500 Convert 269990.7 minutes to nanoseconds. 16199442000000000 How many micrometers are there in one tenth of a centimeter? 1000 What is 119789.82 months in years? 9982.485 How many nanograms are there in fourty-two fifths of a microgram? 8400 How many milligrams are there in 26.81854 kilograms? 26818540 How many litres are there in 43.10358ml? 0.04310358 How many centimeters are there in fifteen sixteenths of a kilometer? 93750 Convert 0.7260819 milliseconds to nanoseconds. 726081.9 How many days are there in 22813.311 hours? 950.554625 What is 2.543098 decades in years? 25.43098 What is 3/16 of a kilometer in centimeters? 18750 What is 51/5 of a litre in millilitres? 10200 How many years are there in fifteen quarters of a millennium? 3750 How many minutes are there in 44/5 of a hour? 528 What is 1/5 of a minute in milliseconds? 12000 Convert 0.5774477g to tonnes. 0.0000005774477 How many centimeters are there in 7019.678mm? 701.9678 What is eleven halves of a week in minutes? 55440 What is 88.0973l in millilitres? 88097.3 How many kilometers are there in 2.905962um? 0.000000002905962 What is 21/4 of a litre in millilitres? 5250 What is twenty-one quarters of a litre in millilitres? 5250 How many millilitres are there in 52/5 of a litre? 10400 What is seventeen halves of a litre in millilitres? 8500 What is 625.8203 microseconds in seconds? 0.0006258203 What is 8.35458m in micrometers? 8354580 What is 7/4 of a milligram in micrograms? 1750 What is 5/8 of a micrometer in nanometers? 625 What is thirty-two fifths of a millimeter in micrometers? 6400 What is one fifth of a gram in milligrams? 200 What is 802.6881 litres in millilitres? 802688.1 What is 18/5 of a centimeter in millimeters? 36 Convert 4.302445 millimeters to centimeters. 0.4302445 Convert 0.41652 millimeters to kilometers. 0.00000041652 How many minutes are there in 5/24 of a day? 300 What is 24.66315mg in kilograms? 0.00002466315 How many micrograms are there in 15.8893 milligrams? 15889.3 What is three tenths of a litre in millilitres? 300 What is 5.94153 millilitres in litres? 0.00594153 Convert 5845.353 days to minutes. 8417308.32 How many years are there in 57/2 of a century? 2850 Convert 29798.4 millennia to decades. 2979840 How many minutes are there in three eighths of a day? 540 What is 3/50 of a meter in millimeters? 60 What is 6/25 of a microsecond in nanoseconds? 240 What is 7/6 of a hour in seconds? 4200 How many litres are there in 7582.242 millilitres? 7.582242 What is 21/2 of a hour in seconds? 37800 What is eleven quarters of a kilogram in grams? 2750 How many millennia are there in 33.16605 decades? 0.3316605 How many centuries are there in 25/2 of a millennium? 125 What is 0.8194605 millennia in centuries? 8.194605 How many nanometers are there in 29/5 of a micrometer? 5800 Convert 3.988984 millilitres to litres. 0.003988984 How many hours are there in 141.15237 minutes? 2.3525395 How many tonnes are there in 9.083531 micrograms? 0.000000000009083531 What is 36.66034 millimeters in kilometers? 0.00003666034 What is four sevenths of a week in hours? 96 Convert 158.6093t to micrograms. 158609300000000 How many seconds are there in 5773.583ms? 5.773583 Convert 1.77375m to nanometers. 1773750000 What is seven halves of a century in months? 4200 How many minutes are there in two ninths of a day? 320 What is 20.644443 months in decades? 0.172037025 What is seventeen quarters of a kilometer in meters? 4250 How many millilitres are there in 18/5 of a litre? 3600 What is 3/16 of a kilometer in centimeters? 18750 What is 7.483622 nanometers in kilometers? 0.000000000007483622 Convert 83.73904 litres to millilitres. 83739.04 What is three tenths of a microgram in nanograms? 300 What is 48/5 of a litre in millilitres? 9600 What is nineteen quarters of a tonne in kilograms? 4750 What is 3/8 of a litre in millilitres? 375 How many microseconds are there in 182355.7 milliseconds? 182355700 How many months are there in 837.5534 centuries? 1005064.08 Convert 0.4831292 years to decades. 0.04831292 How many milligrams are there in three tenths of a gram? 300 Convert 470.432ml to litres. 0.470432 What is 26.932 millennia in decades? 2693.2 How many nanoseconds are there in 7045.506 weeks? 4261122028800000000 How many millilitres are there in 19/4 of a litre? 4750 How many nanograms are there in 456.2029 tonnes? 456202900000000000 What is seven quarters of a centimeter in micrometers? 17500 Convert 25.27419 centimeters to nanometers. 252741900 Convert 665.9709 months to decades. 5.5497575 How many micrograms are there in 48/5 of a milligram? 9600 Convert 7780.981 weeks to minutes. 78432288.48 What is 35483.08 years in months? 425796.96 What is 3/40 of a millimeter in micrometers? 75 What is seventy-three quarters of a litre in millilitres? 18250 What is 1153.166 decades in years? 11531.66 How many millimeters are there in 1/4 of a meter? 250 What is 3/16 of a century in months? 225 What is 3/5 of a minute in milliseconds? 36000 Convert 96.29844ml to litres. 0.09629844 What is 18/5 of a tonne in kilograms? 3600 Convert 8239.844 millilitres to litres.
{ "pile_set_name": "DM Mathematics" }