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0*b**2 + b + 11 What is the g'th term of 11833, 23042, 34251, 45460, 56669? 11209*g + 624 What is the j'th term of -78378, -78273, -78168, -78063, -77958? 105*j - 78483 What is the l'th term of -252765, -254602, -256439, -258276? -1837*l - 250928 What is the s'th term of 2853, 11490, 25875, 46008? 2874*s**2 + 15*s - 36 What is the n'th term of 84993, 84866, 84739, 84612? -127*n + 85120 What is the k'th term of 2459, 9586, 21663, 38852, 61315, 89214, 122711? 27*k**3 + 2313*k**2 - k + 120 What is the y'th term of 410, 259, 154, 137, 250, 535, 1034, 1789? 7*y**3 - 19*y**2 - 143*y + 565 What is the q'th term of -34376875, -68753749, -103130623, -137507497, -171884371? -34376874*q - 1 What is the z'th term of 31279092, 62558184, 93837276? 31279092*z What is the n'th term of -35715, -35692, -35669, -35658, -35671, -35720, -35817? -2*n**3 + 12*n**2 + n - 35726 What is the t'th term of -5698, -11337, -16978, -22621? -t**2 - 5636*t - 61 What is the l'th term of -50177395, -100354788, -150532181, -200709574, -250886967? -50177393*l - 2 What is the f'th term of 7900, 7996, 8194, 8524, 9016, 9700, 10606, 11764? 5*f**3 + 21*f**2 - 2*f + 7876 What is the i'th term of 12173, 48660, 109449, 194540, 303933, 437628? 12151*i**2 + 34*i - 12 What is the u'th term of 217168, 434275, 651382, 868489, 1085596, 1302703? 217107*u + 61 What is the v'th term of 773074, 1546143, 2319206, 3092263? -3*v**2 + 773078*v - 1 What is the c'th term of -172191, -344320, -516437, -688542? 6*c**2 - 172147*c - 50 What is the u'th term of -671, -1376, -2235, -3326, -4727, -6516, -8771, -11570? -13*u**3 + u**2 - 617*u - 42 What is the h'th term of -1215, 3589, 8393, 13197, 18001, 22805? 4804*h - 6019 What is the i'th term of 8281, 21038, 42311, 72106, 110429, 157286? i**3 + 4252*i**2 - 6*i + 4034 What is the o'th term of -196918037, -393836093, -590754151, -787672211, -984590273, -1181508337? -o**2 - 196918053*o + 17 What is the j'th term of 2790775, 5581544, 8372313, 11163082, 13953851, 16744620? 2790769*j + 6 What is the n'th term of -483, -6140, -15579, -28800, -45803, -66588? -1891*n**2 + 16*n + 1392 What is the l'th term of -62604, -124806, -186610, -248010, -309000? l**3 + 193*l**2 - 62788*l - 10 What is the b'th term of 88924, 88899, 88852, 88777, 88668? -b**3 - 5*b**2 - 3*b + 88933 What is the o'th term of 3867, 6856, 9845, 12834? 2989*o + 878 What is the n'th term of 20054074, 40108153, 60162242, 80216341? 5*n**2 + 20054064*n + 5 What is the f'th term of 838, 1606, 2352, 3076, 3778? -11*f**2 + 801*f + 48 What is the p'th term of -382, -795, -1034, -1087, -942, -587, -10, 801? 2*p**3 + 75*p**2 - 652*p + 193 What is the h'th term of -3276, -9173, -15046, -20883, -26672, -32401, -38058? 2*h**3 - 5911*h + 2633 What is the w'th term of 2122571, 2122574, 2122577, 2122580, 2122583? 3*w + 2122568 What is the u'th term of -201786, -403940, -606096, -808254, -1010414, -1212576, -1414740? -u**2 - 202151*u + 366 What is the c'th term of 9511, 9067, 8623, 8179, 7735, 7291? -444*c + 9955 What is the i'th term of -840, -712, -358, 330, 1460, 3140, 5478? 18*i**3 + 5*i**2 - 13*i - 850 What is the w'th term of 28124, 26561, 22314, 14039, 392, -19971, -48394, -86221? -224*w**3 + 2*w**2 - w + 28347 What is the o'th term of -635, -1187, -1747, -2315? -4*o**2 - 540*o - 91 What is the k'th term of -92103, -368946, -830345, -1476294, -2306787? k**3 - 92284*k**2 + 2*k + 178 What is the j'th term of 8245, 34042, 77033, 137218, 214597? 8597*j**2 + 6*j - 358 What is the k'th term of -32849679, -65699362, -98549045? -32849683*k + 4 What is the z'th term of -11103085, -11103052, -11103021, -11102992? -z**2 + 36*z - 11103120 What is the z'th term of -1258, -1257, -1266, -1291, -1338, -1413? -z**3 + z**2 + 5*z - 1263 What is the m'th term of -696096, -695914, -695732? 182*m - 696278 What is the u'th term of 81996, 82037, 82076, 82113, 82148, 82181, 82212? -u**2 + 44*u + 81953 What is the q'th term of -403, -2903, -7007, -12661, -19811, -28403, -38383, -49697? 9*q**3 - 856*q**2 + 5*q + 439 What is the r'th term of -158211, -316386, -474561, -632736, -790911? -158175*r - 36 What is the z'th term of 8011911, 16023821, 24035731? 8011910*z + 1 What is the s'th term of 22212, 36592, 50972, 65352? 14380*s + 7832 What is the b'th term of 791544, 1582807, 2374070? 791263*b + 281 What is the p'th term of -28684, -50854, -73024? -22170*p - 6514 What is the k'th term of -753, -1477, -2047, -2367, -2341? 16*k**3 - 19*k**2 - 779*k + 29 What is the t'th term of 61434, 245833, 553168, 983439? 61468*t**2 - 5*t - 29 What is the c'th term of 12624188, 25248381, 37872586, 50496809, 63121056, 75745333, 88369646? c**3 + 12624186*c + 1 What is the h'th term of 17288, 17155, 16960, 16703? -31*h**2 - 40*h + 17359 What is the g'th term of 132660, 265352, 398044, 530736, 663428? 132692*g - 32 What is the f'th term of -1050, -1408, -2340, -4122, -7030, -11340, -17328, -25270? -46*f**3 - 11*f**2 - 3*f - 990 What is the q'th term of 1722044, 1722024, 1722004, 1721984, 1721964, 1721944? -20*q + 1722064 What is the o'th term of -836767, -1673551, -2510339, -3347131, -4183927, -5020727, -5857531? -2*o**2 - 836778*o + 13 What is the h'th term of 13788, 13214, 12640? -574*h + 14362 What is the w'th term of 1981, 2099, 2145, 2083, 1877, 1491, 889? -6*w**3 + 160*w + 1827 What is the c'th term of -4118, -4381, -4492, -4445, -4234, -3853? c**3 + 70*c**2 - 480*c - 3709 What is the d'th term of -293100, -292644, -291888, -290832? 150*d**2 + 6*d - 293256 What is the c'th term of -3424566, -3424556, -3424548, -3424542? -c**2 + 13*c - 3424578 What is the r'th term of 9317804, 9317746, 9317688, 9317630, 9317572, 9317514? -58*r + 9317862 What is the z'th term of 2355550, 4711213, 7066874, 9422533, 11778190? -z**2 + 2355666*z - 115 What is the l'th term of 97063279, 194126564, 291189849, 388253134, 485316419, 582379704? 97063285*l - 6 What is the d'th term of 3097, 6676, 10305, 13984, 17713, 21492? 25*d**2 + 3504*d - 432 What is the k'th term of -202822536, -405645072, -608467608, -811290144, -1014112680, -1216935216? -202822536*k What is the i'th term of 740, 6051, 20480, 48587, 94932, 164075? 760*i**3 - i**2 - 6*i - 13 What is the m'th term of 2465, 5327, 8223, 11159, 14141? m**3 + 11*m**2 + 2822*m - 369 What is the w'th term of 23053, 23099, 23215, 23437, 23801, 24343? 6*w**3 - w**2 + 7*w + 23041 What is the f'th term of -2077198128, -4154396256, -6231594384? -2077198128*f What is the n'th term of -78471, -78454, -78433, -78408, -78379? 2*n**2 + 11*n - 78484 What is the n'th term of -29171817, -58343636, -87515455, -116687274, -145859093? -29171819*n + 2 What is the y'th term of 32782, 65484, 98100, 130636, 163098? y**3 - 49*y**2 + 32842*y - 12 What is the t'th term of -40, -2170, -5716, -10678, -17056? -708*t**2 - 6*t + 674 What is the o'th term of -4111, -30428, -56745? -26317*o + 22206 What is the k'th term of 54160, 108326, 162494, 216664, 270836, 325010, 379186? k**2 + 54163*k - 4 What is the i'th term of 15467164, 30934339, 46401514, 61868689, 77335864? 15467175*i - 11 What is the s'th term of -1534, 215, 3130, 7211? 583*s**2 - 2117 What is the s'th term of 23778724, 23778719, 23778712, 23778703, 23778692, 23778679? -s**2 - 2*s + 23778727 What is the h'th term of 1402, 7875, 24518, 56419, 108666? 848*h**3 - 3*h**2 + 546*h + 11 What is the a'th term of 55958114, 111916229, 167874344, 223832459, 279790574? 55958115*a - 1 What is the z'th term of 342610, 342621, 342632, 342643? 11*z + 342599 What is the f'th term of -4189655, -8379168, -12568683, -16758200, -20947719, -25137240? -f**2 - 4189510*f - 144 What is the o'th term of 42778, 85636, 128552, 171526, 214558? 29*o**2 + 42771*o - 22 What is the w'th term of -1340200, -1340211, -1340228, -1340251? -3*w**2 - 2*w - 1340195 What is the u'th term of 13344, 26994, 40644, 54294, 67944? 13650*u - 306 What is the p'th term of -5795, -11159, -16523, -21887? -5364*p - 431 What is the h'th term of -29128, -57238, -85348, -113458, -141568, -169678? -28110*h - 1018 What is the w'th term of -21071, -20990, -20907, -20822? w**2 + 78*w - 21150 What is the r'th term of 1276, 1542, 2006, 2662, 3504, 4526, 5722, 7086? -r**3 + 105*r**2 - 42*r + 1214 What is the p'th term of -21924483, -43848968, -65773453? -219
{ "pile_set_name": "DM Mathematics" }
5 = 0. Suppose u = -7*p + 3*p + 492. What is the highest common factor of 41 and p? 41 Let x(q) = -q**2 + 18*q - 68. Let a be x(9). Let w(b) = -3*b + 70. Let n be w(a). Calculate the greatest common factor of n and 31. 31 Let m = 21 + -4. Let s(u) be the third derivative of 7*u**5/20 - u**3/3 - 5*u**2. Let i be s(3). What is the highest common factor of i and m? 17 Suppose 0*p + 8*p - 152 = 0. Let o = -186 - -281. What is the highest common divisor of o and p? 19 Let a = -128 + 272. What is the highest common divisor of 18 and a? 18 Let v be 1 + -10*22/(-4). Suppose 5*b - 56 = -16. Let l be 0*1/4 + b. Calculate the greatest common factor of l and v. 8 Let z = 1198 + -1186. What is the greatest common divisor of 64 and z? 4 Let u be (6/(-3) + -3)*48/(-60)*8. Suppose b + 0 = w + 2, 4*w = 2*b. What is the highest common divisor of b and u? 4 Let i(a) be the first derivative of -a**3/3 + a + 13. Let y be i(0). Calculate the highest common divisor of 1 and y. 1 Let g(q) = 2*q**2 + q - 3. Let b be g(-3). Let o be (b + -6)*(-2)/(-3). Let f be 2/o*2 - -6. What is the greatest common divisor of 7 and f? 7 Let s(u) = -5*u + 22. Let f be s(-3). Let g = f + -20. Calculate the greatest common divisor of g and 34. 17 Let p(j) = -78*j - 1. Let t be p(-1). Let a be 258/(-10) + (-52)/(-65). Let x = a - -32. Calculate the greatest common divisor of t and x. 7 Let u(h) = 60*h**2 - 42*h + 152. Let a be u(6). What is the greatest common factor of 20 and a? 20 Suppose -18*f + 17*f = -8. What is the highest common factor of 20 and f? 4 Let n be ((-6)/8)/(1/8). Let f = n + 10. Suppose f*c + 600 = 9*c. Calculate the greatest common divisor of 15 and c. 15 Let q = -164 - -290. Calculate the highest common divisor of q and 14. 14 Suppose q + v - 6 = 2*v, 0 = 4*q - 3*v - 22. Suppose 8 = q*g - 3*g. Calculate the greatest common divisor of g and 24. 8 Suppose -4*c = 5*b - 6*b, -5*c = -4*b. Suppose -5*w + 5 + 10 = 0. Suppose b = -x - 3*a + 12, -2 = -5*a + w. What is the greatest common factor of x and 3? 3 Suppose -5*x - 39 = 5*i + 151, i - 4*x = -63. Let g = 46 + i. Calculate the greatest common divisor of 24 and g. 3 Let u = 1975 + -1951. Let r = 0 + 6. What is the highest common factor of r and u? 6 Let k(p) = -2*p**2 - 14*p - 4. Let l be k(-6). Calculate the highest common divisor of 248 and l. 8 Let b be (7 - 2)*(-1 - 0). Let g be 8/b*(-22 + -8). Let t = 35 - 19. What is the highest common divisor of t and g? 16 Let b = 101 + -64. Let n = -8 + b. Suppose 4*v + 4*z = 52, -5*v = -2*v + 5*z - n. What is the highest common divisor of 198 and v? 18 Suppose -3*y - 38 = -2*b + 31, 0 = b - 4*y - 22. What is the highest common factor of b and 150? 6 Let v = -28 - -44. Suppose -v*a + 36 = -12*a. Calculate the highest common factor of 9 and a. 9 Let c(y) = y**3 + 21*y**2 + 50*y - 41. Let h be c(-18). What is the highest common factor of h and 279? 31 Let u(p) = -51*p - 9. Let l(d) = 10*d + 2. Let i(x) = 11*l(x) + 2*u(x). Let c be i(3). What is the highest common factor of c and 14? 14 Suppose 2*v = 3*v + 10. Let m = v + 20. Suppose 4*p - 159 = x, -5*p - 5*x = -161 - 44. What is the greatest common divisor of m and p? 10 Suppose 0 = 2*q - 5*f - 333, 2*q - f - 274 - 39 = 0. What is the highest common factor of 385 and q? 77 Let j be ((-9)/4)/((-6)/112). Suppose -13*a - 48 = -17*a. Let o be a*5*(-4)/(-40). What is the greatest common factor of j and o? 6 Suppose -19 = -0*m + 5*m + 3*z, 27 = -5*m + z. Let v be 4 + m + -1 + 38. What is the greatest common divisor of 9 and v? 9 Suppose s + 36 = l, 4*l + 118 = -4*s - 10. Let x = s + 94. Suppose 158 = p - 2*m, -6*m + m = p - 130. What is the highest common factor of x and p? 30 Let q be ((-56)/2)/(-7 - -5 - -1). Suppose -26 = q*h - 30*h. Calculate the greatest common factor of h and 26. 13 Suppose -2*m + 3*m = 3*h - 23, 5*m = -2*h + 38. Suppose -43*b = -39*b - 36. Calculate the highest common divisor of h and b. 9 Suppose 0*m - 2*m + 3*r = -1128, -4*r - 2260 = -4*m. What is the greatest common divisor of 21 and m? 21 Let x = -1241 + 1265. What is the greatest common factor of 21 and x? 3 Suppose -5*n = g - 3*g + 10, 0 = 3*n - 12. Suppose 0 = -10*o + 9*o + g. Let v(s) = -14*s + 4. Let j be v(-4). Calculate the highest common divisor of o and j. 15 Let v be (4*2/4)/(12/138). What is the greatest common divisor of v and 529? 23 Let a(y) = -y**3 - 4*y**2 + 2. Let u be a(-4). Let l be 2 - u/(-2)*15. Calculate the highest common divisor of 119 and l. 17 Suppose -3*f + 192 = -2*f. What is the greatest common factor of f and 12? 12 Let v be 22 - 0/((-1)/1). Let t(o) = -3*o**2 - 16*o + 38. Let s be t(-14). Let u be (-22)/(-121) - s/v. Calculate the highest common divisor of u and 10. 5 Let g(n) = -n**2 + 5*n + 6. Let t be g(5). Let u be 3/(18/150) - -2. What is the greatest common factor of t and u? 3 Let i = -13 - -18. Suppose 5*p + 3*l + l - 13 = 0, -i*p + 5*l + 40 = 0. Calculate the highest common divisor of 1 and p. 1 Suppose -5*t + 23 = 8, -23 = -4*w + 3*t. Let a = 3231 + -3223. What is the greatest common divisor of w and a? 8 Suppose -a - 3*d + 40 = 0, -4*a + 2*d + d + 205 = 0. Calculate the highest common divisor of a and 1. 1 Let x be 10 - (-2 - -11) - (-52 + 1). Calculate the highest common factor of x and 234. 26 Suppose -678 = -3*w - 0*w. Suppose -2*t - 3*z + 447 = 0, 0 = t + 4*z - 2*z - w. What is the greatest common divisor of t and 24? 24 Suppose 55*d = 58*d - 15. Suppose -v + 12 = d*v. Calculate the greatest common divisor of v and 8. 2 Suppose -491 + 71 = -15*f. What is the greatest common factor of 308 and f? 28 Let i(f) = -153*f - 235. Let h be i(-8). What is the highest common factor of h and 172? 43 Let k be -4 - -10 - (-6 - (1029 + 3)). Calculate the greatest common factor of 36 and k. 36 Suppose 5*t - 2*l + 98 = 0, 66 = -3*t + l + 2*l. Let h = t + 29. Suppose -h*g - 30 = -16*g. Calculate the greatest common divisor of g and 4. 2 Suppose 76*b - 78*b + 594 = 0. What is the highest common divisor of 396 and b? 99 Suppose -5*w + 106 = m - 3*m, 5*w = -2*m + 114. Suppose -23 = -l + w. What is the greatest common divisor of l and 30? 15 Let l be (195/6*2)/1. Let i(f) = f**2 - 5*f. Let t be i(5). Suppose t = -4*d + 9*d - l. What is the greatest common factor of 143 and d? 13 Let q be -8 - (-2 + -9 + 2). Suppose 5*z - 34 = 1. Calculate the highest common divisor of q and z. 1 Suppose 22*c - 31*c = -945. Calculate the greatest common divisor of 42 and c. 21 Let r be 1/(2/(-534)*3). Let k = r - -93. What is the highest common divisor of 16 and k? 4 Let m = -891 + 920. Calculate the highest common divisor of m and 841. 29 Let x = -6 - -5. Let k(v) = -10 - 5*v - 3 + 15. Let l be k(x). Calculate the greatest common factor of l and 14. 7 Let r(k) = -k**2 + 6*k - 3. Let b be r(5). Let l(m) = -m + 14. Let x be l(0). Calculate the highest common divisor of b and x. 2 Let t be (928/112)/((-2)/(-14)). Suppose 225 = -t*o + 61*o. Calculate the highest common factor of 15 and o. 15 Let v be 2/(-5) + 1387/5. Suppose 5*o - 2*h - v = -0*h, 105 = 2*o + 5*h. What is the highest common divisor of o and 11? 11 Suppose -c = 2*c - 15. Suppose 4*x = -12, -35 = -4*s + 34*x - 29*x. What is the greatest common divisor of c and s? 5 Suppose 0 = -2*k - 3*k, 0 = 4*w + 5*k - 48. Let f(r) = -6*r - 6*r + r**2 + 4*r - 2*r**2 - 3. Let b be f(-5). What is the highest common divisor of b and w? 12 Let w be 2/(-5) + 154/10. Let p(g) = g**3 - 10*g**2 + 3*g - 10. Let s be p(10). Calculate the highest common factor of w and s. 5 Let a be 2/(-2 + (5 - (2 - 1))). Let b = 30 - a. Let z(o) = -3*o**3 - 4*o**2 + 3*o + 1. Let f be z(-5). What is the highest common factor of b and f? 29 Suppose 0 = 9*v - 6*v - 249. Let c = v + -77. Calculate the greatest common divisor of c and 6. 6 Let n = 473 + -417. Calculate the greatest common divisor of 28 and n. 28 Suppose -983 = -9*f - 290. Let n = 7 - 0. Suppose n = s - 0*s. Calculate the highest common divisor of s and f. 7 Let n(i) = 25*i**2 - 15*i + 13. Let g be n(1). Calculate the greatest common divisor of g and 207. 23 Suppose 55*o - 934 = 386. Calculate the highest common divisor of o and 120. 24 Suppose -7*v + 283 + 74 = 0. Let y be (-4)/(-6)*v/2. What is the highest common factor of y and 17? 17 Suppose -5*w - 12 = -67. Let
{ "pile_set_name": "DM Mathematics" }
= -5*p. Let x(d) be the first derivative of -23*d**2 + 11 - d**l - 25*d**2 + 48*d**2. What is x(a(q))? -3*q**2 Let u = -18 - -27. Let x(l) = u*l + 13*l - 11*l. Let t(i) be the first derivative of i**3 - 11. Give t(x(r)). 363*r**2 Suppose 4*o = -4*o + 16. Let w(l) be the third derivative of 0*l**3 + 15*l**o - 1/24*l**4 + 0*l + 0. Let q(k) = 4*k. Give q(w(v)). -4*v Let h(y) = 2*y. Let l(i) = 2274943*i. Determine h(l(p)). 4549886*p Let f = 182 - 123. Let y(n) = f*n**2 - 1 - 61*n**2 + 1. Let j(s) = -s**2 + 6*s - 6. Let k(p) = p**2 - 7*p + 7. Let i(m) = 7*j(m) + 6*k(m). Give y(i(g)). -2*g**4 Let c(k) = 3*k + k + 0*k. Let v(r) = r**2 - 21*r + 93. Let o be v(6). Let m(w) = 7 + 10*w**2 - o - 7 + 3. Calculate c(m(u)). 40*u**2 Let m(b) = 202321*b**2 + 14*b + 202319*b**2 - 14*b - 404642*b**2. Let x(h) = -164*h + 6. Let r(i) = i + 1. Let s(j) = 5*r(j) - x(j). Give s(m(n)). -338*n**2 - 1 Let l(v) = -162*v. Let j(s) = -692351*s. Give j(l(i)). 112160862*i Let l(n) = 1632261*n. Let v(p) = 11*p**2. Give v(l(o)). 29307035693331*o**2 Let o(i) = -i + 18. Let h(c) = -25*c**2 - 114*c**2 + 163*c**2. Determine o(h(b)). -24*b**2 + 18 Let b(r) = 3*r**2. Let n(g) = -53*g**2 + 145 - 144 + 107*g**2 - 42*g**2. What is n(b(y))? 108*y**4 + 1 Let j(k) = 10518*k - 1. Let v(l) = -93*l. Calculate v(j(s)). -978174*s + 93 Let j(d) = -4*d**2 - 55*d + 1731. Let g(t) = 8*t. Calculate j(g(v)). -256*v**2 - 440*v + 1731 Let l(v) = -22*v + 92*v - 65*v. Let f(x) = 7*x**2 + 2*x. Calculate l(f(z)). 35*z**2 + 10*z Let w(a) = -32*a. Let n(y) be the second derivative of 2*y + 0 - 1/2*y**3 + 0*y**2. What is w(n(u))? 96*u Suppose 0*d - 2*r = 5*d - 77, 89 = 5*d - r. Let q(v) = -d*v - 4*v + 1 + 32*v - 7*v. Let w(a) = -a. Give w(q(p)). -4*p - 1 Let c(f) = 153994*f**2 - 93. Let g(q) = -3*q**2. Determine c(g(i)). 1385946*i**4 - 93 Let z(g) = 782*g**2. Let v(w) = -49892*w**2. Determine z(v(j)). 1946563521248*j**4 Let g(o) = -169 + 104*o**2 - 113*o**2 + 169. Let m(b) be the second derivative of -5*b**3/3 + 8*b. What is m(g(c))? 90*c**2 Let y(v) = -59*v**2. Let m(a) = -143399*a**2 - 2. Give m(y(k)). -499171919*k**4 - 2 Let q(h) = -6*h**2. Let k(d) = 4*d + 227814. Determine k(q(z)). -24*z**2 + 227814 Let v(h) = 0*h + 2*h - h. Let w(k) be the second derivative of -k**5/10 - 187*k**2 - 243*k. Let t(l) be the first derivative of w(l). What is v(t(i))? -6*i**2 Let j(w) = 2*w. Let d be (-4 + (2 - (-12)/4))*8. Suppose 0 = -10*f + d*f + 156. Let k(v) = 28*v - f*v + 37*v. Calculate j(k(c)). -26*c Let a(m) = 4*m + 4. Let o(u) = -3075*u**2 + 825*u**2 + 987*u**2 + 1012*u**2. Calculate o(a(y)). -4016*y**2 - 8032*y - 4016 Let q(w) = 9674*w**2. Let i(v) = -1261*v**2. Give i(q(r)). -118012294036*r**4 Let u(v) = 502*v**2. Let k(w) = 13*w - 7*w - 43*w + 9*w. Calculate u(k(j)). 393568*j**2 Let m(j) = 2*j. Suppose 0 = -4*q + 7 + 21. Let v(l) = -7*l**2 - 21*l + 6. Let o(h) = 8*h**2 + 22*h - 7. Let z(b) = q*v(b) + 6*o(b). Determine z(m(g)). -4*g**2 - 30*g Suppose 72 = 19*m - 11*m. Let c(i) = 4*i**2 - 6 + 15 - m. Let o(v) = 4*v. Determine o(c(d)). 16*d**2 Let p(y) = 3*y**2. Let g(k) = 3746853*k. Determine g(p(l)). 11240559*l**2 Let p(a) = -a - 552. Let d(j) = -472*j - 6. What is p(d(i))? 472*i - 546 Let a(i) = 18968*i**2 - 9028*i**2 - 6854*i**2. Let o(t) = -t. Calculate o(a(m)). -3086*m**2 Let b(q) = -56*q + 3913823. Let c(s) = -3*s**2. Calculate b(c(r)). 168*r**2 + 3913823 Let r be 48/26 + 20/130. Suppose 3*d + 3*k - 19 = d, r*k - 14 = -2*d. Let b(q) = 2297 - 2297 - 10*q**d. Let n(s) = -s. What is b(n(y))? -10*y**2 Let d(t) be the second derivative of t**4/12 + 37*t**2 + 4408*t. Let o(j) = -5*j. What is d(o(l))? 25*l**2 + 74 Let o(r) be the second derivative of r**4/4 - r. Let i be (6/(-5) + 2)/((-60)/(-150)). Let w(a) = -i*a - 9*a + 3*a + 0*a. Give w(o(u)). -24*u**2 Let t(b) = 7*b - 9. Let h(f) = 3*f + 50. Give h(t(x)). 21*x + 23 Let u(l) = 71*l**2. Let h(d) = -160*d + 5 - 6 + 91*d + 1. Determine u(h(c)). 338031*c**2 Let k(a) = -4*a. Suppose 0 = 2*q - 6, 0 = 4*b + 5*q - 365 - 2. Let o(m) = -30*m + b*m - 42*m. Calculate k(o(w)). -64*w Let h(s) = s**2 - 100*s. Let k(n) = -29*n**2 + 50*n + 25. Let q(z) = 7*z**2 - 12*z - 6. Let v(d) = 6*k(d) + 25*q(d). Give h(v(l)). l**4 - 100*l**2 Let m(y) = 7*y**2. Let d(g) be the first derivative of 2*g**4/3 + 18*g - 7. Let n(v) be the first derivative of d(v). Calculate m(n(s)). 448*s**4 Let b(m) = 1534 - 72*m**2 - 6*m**2 - 1530 - 39*m**2. Let q(r) = r. What is b(q(l))? -117*l**2 + 4 Let h(c) = 23*c**2 - 20*c**2 - 12*c**2. Let l(y) = 2*y + 29. Determine h(l(g)). -36*g**2 - 1044*g - 7569 Let r(j) = -26*j**2 - 3. Let l(w) = -4 - 1554340*w + 3 + 1554309*w + 1. Give l(r(b)). 806*b**2 + 93 Suppose 9*z - 14*z + 65 = 0. Let f(g) = 13 - z + 2*g. Let t(q) = 9*q - 1. Give t(f(r)). 18*r - 1 Let o(t) = -t - 3. Let i(l) = 13*l - 66. Let h be i(5). Let f(a) = 8*a - 15. Let s(u) = h*f(u) + 5*o(u). Let x(b) = 15*b**2. Calculate x(s(g)). 2535*g**2 Let c(u) be the third derivative of -7*u**4/24 - 4*u**2 - 3. Let q(b) = 50*b. Calculate c(q(s)). -350*s Let a(q) = -210*q - 68. Let x(c) = -421*c - 119. Let y(u) = -7*a(u) + 4*x(u). Let l(h) = 12*h**2. What is y(l(j))? -2568*j**2 Let l(x) = -367031172*x. Let q(y) = -3*y. Determine q(l(r)). 1101093516*r Let k(o) = o - 6*o**2 + 11*o**2 - o. Let f(i) = 519*i - 6. Let t(x) = 599*x - 7. Let w(c) = 7*f(c) - 6*t(c). What is k(w(b))? 7605*b**2 Let l(u) be the third derivative of u**4/6 - 4*u**3 - 10*u**2 + 8. Let t(o) = o**2. Determine t(l(q)). 16*q**2 - 192*q + 576 Let g(c) = -c - 4*c**2 + c. Let f(z) be the first derivative of z**4/6 - 317*z + 566. Let x(u) be the first derivative of f(u). What is g(x(k))? -16*k**4 Let q(h) = h. Let m be (-76)/(-95)*5/2. Let k(s) = -68 + 264*s - 11*s**m + 68 - 264*s. Determine k(q(x)). -11*x**2 Let v(t) be the first derivative of -13*t**2/2 - 7. Let h(j) = -207*j. Let y(z) = 2*h(z) - 33*v(z). Let m(c) = -c. What is m(y(g))? -15*g Let s(l) = -2*l**2 - 19. Let k(r) be the third derivative of 0*r**3 + 1/8*r**4 + 0*r + 20 - 2*r**2. Give s(k(x)). -18*x**2 - 19 Let g(n) = -13*n**2 - 5*n**2 - 4*n**2. Let f(w) = -w**3 + 6*w**2 + 17*w - 6. Let i be f(8). Let m(s) = i*s + 203*s**2 - 2*s - 202*s**2. Calculate m(g(v)). 484*v**4 Let d(i) = -2*i. Let v(k) be the first derivative of 0*k**4 + 0*k**2 + 9*k**3 - 21 + 0*k - 1/40*k**5. Let c(y) be the third derivative of v(y). What is c(d(j))? 6*j Let f(i) = -4*i - 79. Let a(m) = 2*m**2 + 6*m + 3. Let z(n) = 3*n**2 + 10*n + 5. Let p(u) = 5*a(u) - 3*z(u). Give p(f(l)). 16*l**2 + 632*l + 6241 Let k = 91 - 86. Let g(l) = -24 - 24 + k*l + 48. Let v(b) = 17*b**2. Give g(v(u)). 85*u**2 Let k(r) = -6*r. Let z(h) = 2602757*h. What is k(z(c))? -15616542*c Let b(w) = 35*w**2. Let q(g) = -27*g - 10. Let j(f) = 1323*f + 495. Let k(x) = 2*j(x) + 99*q(x). Calculate b(k(z)). 25515*z**2 Let o(j) = -9*j. Let l be (15/(-20))/((-3)/8). Let h(r) = 6*r**2 - 3*r**l - 4*r**2 + 2*r**2. Calculate o(h(s)). -9*s**2 Let a(y) = -6*y + 0 + 0. Let b = -551 - -774. Let m(h) = 4*h**2 + 223*h - b*h. What is a(m(c))? -24*c**2 Let z(b) = -8*b. Let y(c) = -49*c + 6. Let a be y(-1). Let p = 68 - a. Let v(j) = 10*j**2 + 9*j**2 - p*j**2. Determine z(v(g)). -48*g**2 Let a(b) = -2*b. Let k(z) be the second derivative of -z**3/3 + 23*z**2 - 2*z - 1. Let d(s) = 6*s - 138. Let h(q) = -5*d(q) - 14*k(q). Determine a(h(o)). 4*o - 92 Let d(h) = 4*h - 27. Let o be d(18). Let m = -36 + o. Let v(i) = 4*i**2 - 4*i**2 - m*i**2. Let k(x) = -3*x**2. Calculate v(k(z)). -81*z**4 Let s(q) = 17249133*q. Let z(b) = -b - 16. Determine s(z(d)). -17249133*d - 275986128 Let p(l) = -118*l**2 - 1. Let g(i) be the third derivative of i**5/30 + 1512*i**2. Give g(p(y)). 27848*y**4 + 472*y**2 + 2 Let n(p) be the second derivative of 395*p**4/12 + 731*p. Let b(z) = 4*z. Determine b(n(j)). 1580*j**2 Let v(g) = -g. Suppose 259913 = 37*z + 67291. Let r(o) = -z*o + 5206*o + 68*o**2. What is r(v(l))? 68*l**2 Let q(m) = 3135*m. Let n(a) be the first derivative of 2*a**3/3 + 805. What is q(n(t))? 6270*t**2 Let m(u) = -9*u. Let z(a) = 2 - 2 - 11740*a + 11731*a. What is z(m(w))? 81*w Let s(g) = -10*g**2. Suppose 3*b + 21 - 1 = 5*i, 16 = 2*b + 4*i. Let l be 6/(-36)*0 - (b - 0). Let x(q) = -q + l*q + 4*q. Determine x(s(y)). -30*y**2 Let f(x) = 8*x. Let j(b) = -1666*b**2 + 6*b - 6. W
{ "pile_set_name": "DM Mathematics" }
4 Let j(i) = i + 9. Let b be j(-12). Let s(a) = -5*a**3 - 3*a**2 - 5*a - 5. What is the tens digit of s(b)? 1 Let z(u) = -u**2 + 7*u - 11. Let g be 8/(-3)*18/(-8). Let b be z(g). What is the tens digit of b/10 + (-101)/(-2)? 5 What is the units digit of (-4)/(-12) + 616/6? 3 Let u(j) = -4*j**2 - 9*j + 73. Let s(w) = -w**2 - 2*w + 18. Let z(r) = -9*s(r) + 2*u(r). What is the units digit of z(-8)? 8 What is the units digit of 4335/6 + (210/28)/(-15)? 2 Let a(j) be the third derivative of -1/6*j**3 + 0 + 7/8*j**4 + 0*j - 5*j**2. What is the units digit of a(1)? 0 Suppose 4*v - 8*v + d = -16456, -4*v = 3*d - 16472. What is the tens digit of v? 1 Let f be (-2)/(-3)*20*3. Suppose -6*p - 294 = -990. Suppose -d - b + f = -0*d, 4*b = -3*d + p. What is the tens digit of d? 4 Suppose 0*p = -2*p + 4*z - 14, 5*z - 31 = -2*p. Suppose -v = p*v. Suppose -2*i + 7 + 1 = v. What is the units digit of i? 4 Let u be (15/(-9))/(3/9). What is the units digit of (-3)/(-2) - (-63)/(-6)*u? 4 Let x(t) = -3*t**2 - 10*t + 3. Let k be x(-6). What is the tens digit of (0 + 2)*-1 - k? 4 Let q(j) = 27*j + 37. Let v(b) = 79*b + 111. Let o(t) = 17*q(t) - 6*v(t). What is the units digit of o(-3)? 8 Let z = 1492 - 446. What is the hundreds digit of z? 0 Let m(q) = -q - 2*q + q**2 - 6 - q - 3*q. Let v be m(11). Suppose 98 = 3*k + v. What is the tens digit of k? 2 Let o = 94 + -37. Let h(x) = -x**2 - 4*x + 12. Let k be h(-6). Suppose -3*v + 6*v - o = k. What is the units digit of v? 9 Suppose -61*s + 177995 = 36*s. What is the thousands digit of s? 1 Let y(w) = -3*w - 18. Let z be y(-6). Let c(v) = -v**2 + 5*v + 8. Let x be c(6). Let q = z + x. What is the units digit of q? 2 What is the tens digit of 1501/11 + (-30)/(-55)? 3 What is the thousands digit of (-415371)/(-164) + (-5)/(-4)? 2 Suppose 10*d - 3*d - 7 = 0. Let h be 4/6 + (-40)/(-3). What is the units digit of -3*d + h + 3? 4 Let g = -3 + 8. Suppose -g*i = 64 + 206. What is the tens digit of (-2)/4 + i/(-4)? 1 Let g = -32 - -257. What is the tens digit of g? 2 Let r(d) = -29*d**3 - 2*d**2 - 17*d - 161. What is the units digit of r(-6)? 3 Let t be (-1)/((-2)/(-8)) - -4. Suppose 6*v - 368 = 2*v + 2*g, t = v - 4*g - 92. What is the units digit of v? 2 Let d = 11 - 11. Suppose -3*i + 9 + 9 = d. Let b(q) = 5*q - 9. What is the tens digit of b(i)? 2 What is the tens digit of ((-717)/6 - 0)*(-9 - -1)? 5 Let s(p) = -3*p**2 - 121*p + 22. What is the hundreds digit of s(-34)? 6 What is the tens digit of 6/(-8 - -2) - (-4228)/4? 5 Let p(c) = -3*c - 1. Let w(h) = 4*h. Let b(f) = p(f) - 2*w(f). Let m(l) = -l**2 - 3*l + 1. Let g be m(-4). What is the tens digit of b(g)? 3 Let v = 9 + 0. Let k(c) be the first derivative of c**4/4 - 8*c**3/3 - 2*c**2 - 10*c + 339. What is the units digit of k(v)? 5 Let v(w) = 7*w**3 - 6*w**2 + 3. What is the tens digit of v(3)? 3 Let g = -4 + 18. Suppose 0 = 4*l - 6 - g. Suppose -l*d + 2*d + 96 = 0. What is the units digit of d? 2 Suppose 21*p = 13*p + 4688. What is the hundreds digit of p? 5 Let j(h) = 98*h**2 + 3*h + 13. What is the units digit of j(-4)? 9 Let v = 31 - 30. Let i be (-1 + 1)*(-1)/(-2). Suppose i = l - 4 - v. What is the units digit of l? 5 What is the units digit of -3 - 40*1*15/(-10)? 7 Suppose -c + 0*c = 2*g - 1052, g = -4*c + 512. What is the units digit of g? 8 Let y = -28 + 46. What is the units digit of 8/(2 - 33/y)? 8 Suppose -12*z = -4068 + 228. What is the units digit of z? 0 Let n(g) = -14 + 22 + 82 + 3*g. What is the tens digit of n(0)? 9 Let n(k) = k**3 + 8*k**2 - 8*k + 2. Let g(h) = -2*h**2 + 24*h + 18. Let v be g(13). What is the tens digit of n(v)? 6 Let c(a) = a**3 + 15*a**2 - 5*a - 14. Let v be c(-15). Let z = v + -12. What is the units digit of z? 9 Suppose 0 = 4*r - 4, -z + 3*r = r - 2523. What is the thousands digit of z? 2 Suppose 3*s = 5*v + 485 + 4138, 0 = s + 3*v - 1541. What is the units digit of s? 1 What is the thousands digit of (7 - 6*-107 - -4)*5? 3 Let c be (-8 - -7) + 6/1. Suppose -4*r - 6 = -3*w - r, c*w - 4*r - 9 = 0. What is the tens digit of (68/(-16))/(w/(-4))? 1 Let x(b) = b**3 + 7*b**2 + 8*b + 7. What is the units digit of x(-4)? 3 Let f(c) = 48*c**2 - 5*c - 5. Let b(r) = -97*r**2 + 9*r + 9. Let i(l) = -6*b(l) - 11*f(l). What is the units digit of i(-1)? 4 Suppose 437 = 4*w + 157. Let l = w - 39. What is the units digit of l? 1 Let f(k) = k**2 + 3. Suppose -3*m - 90 = -0*m. Let q = -22 - m. What is the units digit of f(q)? 7 Let n be 3*(28/(-6) + 2). Let s be (-23 + -1)/(4/n). Suppose u + u = 0, -2*z + 4*u = -s. What is the tens digit of z? 2 Let l = -53 + 59. Suppose -l*v = -5*v - 108. What is the units digit of v? 8 Suppose 0 = -q + 6 - 14. Let y = 0 - 15. What is the units digit of (-336)/y - q/(-20)? 2 Suppose -2*n - m = -8, 2*n - 2*m = 2*m + 18. Suppose 2*h = 1 + n. Suppose -q + 17 = -2*w, -q + 14 = 3*w - h. What is the tens digit of q? 1 Suppose 14*b - 7549 = -1249. What is the units digit of b? 0 Suppose 9 + 3 = 4*y. Suppose 5*t + 5*c + 0 = -5, t - y*c - 11 = 0. Suppose -f = t*f - 114. What is the tens digit of f? 3 Suppose -2*u + 2*x = 40, -u - u - 4*x - 16 = 0. Suppose 0 = -4*n + 2*z + 2*z + 4, 3*n = -z + 7. What is the units digit of u/(-24)*18/n? 6 Let c = -9 - -12. Suppose -101 = -n + 2*i, 5*i = -c*n - n + 430. Suppose -9*l + n = -4*l. What is the units digit of l? 1 Let h = 10 + -3. Let o = 11 - h. Suppose -w - o*w = -100. What is the tens digit of w? 2 Suppose 45 = 4*f - 7. Let x(l) = -l - 4. Let k be x(6). Let o = k + f. What is the units digit of o? 3 Let w(f) = -72*f - 35. What is the tens digit of w(-12)? 2 Let f be 1 - (-2 + -1 + -3). Let h = -6 + f. What is the units digit of 236/8 - h/2? 9 Let t(f) = f**2 - 10*f + 3. Let q be t(10). Suppose -a + 123 = n + n, q*n - 157 = 4*a. What is the units digit of n? 9 Let z = 4260 - 1545. What is the hundreds digit of z? 7 Suppose -3*x - y - 3*y = -185, 0 = -4*x + y + 272. Suppose l = 5*c - 0*l + 159, 2*l = 5*c + 163. Let z = c + x. What is the tens digit of z? 3 Let c = -948 + 1689. What is the hundreds digit of c? 7 Let a(d) = d - 13. Let u be a(17). Let n be 4/(3*(-4)/(-474)). Suppose -135 = -3*s - 5*r, u*s - n = 3*r + 22. What is the tens digit of s? 4 Let z = 0 - -31. Suppose 4*w + z = -3*q, q + 14 = w - 1. What is the tens digit of ((-26)/(-3))/(q/(-39))? 2 Suppose -431 = -3*h + 472. Let w = h + -168. What is the hundreds digit of w? 1 Suppose 12 = 7*f - 23. Suppose 4*l - 3*a = 347, -141 - 293 = -f*l + 4*a. What is the units digit of l? 6 Let n = 305 + 85. Suppose -2*c + 520 = -2*b + 6*b, -2*c = -3*b + n. What is the hundreds digit of b? 1 Suppose 0 = p - 5*p - 24. Let k be 7 + p + (0 - 0). Suppose k = -t + 3*h + 4, -47 = -5*t - h. What is the units digit of t? 9 Let u = 55 - -1122. What is the thousands digit of u? 1 Let g(a) be the first derivative of a**4/4 + 7*a**3/3 - 11*a**2/2 - 8*a - 3. Let f = -4 + -4. What is the units digit of g(f)? 6 Let f(g) be the second derivative of g**4/6 + g**3/2 - 2*g**2 + g - 34. Let k(x) = -x**2 + x + 1. Let a be k(3). What is the tens digit of f(a)? 3 Suppose -4*h + 4*y = -3059 - 2037, h - 1289 = 4*y. What is the units digit of h? 9 Suppose 9*m = 12*m + 3. What is the units digit of -242*m*4/8? 1 Let d(s) = -s**3 - 3*s**2 - 3*s - 5. Let b be d(-3). Let a = b - -12. What is the tens digit of a? 1 Let i be (15/3)/(2 - 1). Suppose 0 = -2*y + i*d + 149, -y + 70 = -2*d - 2. What is the tens digit of y? 6 Let w = 27 + -24. Suppose 2*t - 262 = -4*l, 0 = l - 3*t - w - 73. What is the units digit of l? 7 Suppose -6*y = -5033 - 4903. What is the tens digit of y? 5 Suppose -p - 3*m + 27 = -5*p, 19 = 2*p + 5*m. Let x(a) = a**3 + 2*a**2 - 4*a. Let f be x(p). Suppose f*k - k = 22. What is the units digit of k? 1 Suppose 3*j + 3*n - 64 + 25 = 0, j - 5*n - 13 = 0. Suppose -308 = j*p - 17*p. What is the units digit of p? 7 Let n be (((-18)/21)/(5/(-35)))/2. Let k = -11 - -7. Let j = n - k. What is the units digit of j? 7 Let k(p) = p**2 + 7*p + 24. What is the tens digit of k(-14)? 2 Let q(l) = -l**3 - 3*l**2 - 24*l - 7. What is the tens digit of q(-9)? 9 Suppose -25 = -5*v + o, o - 12 - 13 = -5*v. Suppose 5 + 5 = v*r. Suppose 61 = r*l + 17. What is the tens digit of l? 2 Suppose 5*b + 663 + 520 = 4*f, 4*f + 2*b = 1162. What is the hundreds digit of f? 2 Suppo
{ "pile_set_name": "DM Mathematics" }
o 0.4 in -0.03, 5, 1, 12, -9? -0.03 What is the nearest to -2/9 in -6, -7, 0.1, -47? 0.1 What is the closest to 2 in 1/26, 1/6, 62, -2/3? 1/6 Which is the closest to -0.35? (a) -0.4 (b) 1/2 (c) -0.57 (d) 5 (e) 0.3 a Which is the closest to -1? (a) -1/5 (b) 0.03 (c) -214 (d) -2/9 d What is the closest to 1/4 in 2, 2558, 3/2, -0.01, 0.5? 0.5 Which is the closest to -18/11? (a) 2/5 (b) -67/3 (c) 4 (d) -3 d Which is the closest to 0.1? (a) 0.26 (b) 95 (c) -5/4 a Which is the nearest to 1/3? (a) 4 (b) 287/4 (c) 2.4 (d) 2 d What is the closest to 6 in 1, 2/9, 857, -0.1? 1 What is the nearest to 0.9 in 0, -1/2, -7, -54? 0 Which is the nearest to -1? (a) -1.7 (b) 3 (c) 0.012 a Which is the closest to -29? (a) -10 (b) -2/11 (c) -47 c What is the nearest to -2/25 in -1, 0.3, -6, -1/6, 2/15? -1/6 What is the closest to -61 in -2/3, -7, 0.126, 1, -1/4? -7 Which is the closest to -4? (a) 35 (b) 2 (c) -64 (d) -4/7 d Which is the nearest to -1? (a) 1/1579 (b) 1 (c) 3 a Which is the nearest to 69/7? (a) 2/5 (b) -8 (c) -1/4 (d) -2 a Which is the closest to 3/49? (a) 5 (b) 0.2 (c) 43 b Which is the closest to -16? (a) -1 (b) -3 (c) 4 (d) 3/7 b What is the nearest to -24 in 4, -1/7, 2.4, -0.08? -1/7 What is the nearest to -0.823 in -0.3, -100/3, 1/8, 2/7, 5? -0.3 What is the closest to -0.06 in -2, 0.6, -3, 8? 0.6 Which is the closest to -683? (a) 4/3 (b) 0.4 (c) 1 b Which is the closest to 194? (a) 0.5 (b) -12 (c) 0 (d) -6 (e) 1/9 a Which is the closest to 4? (a) 41 (b) -0.5 (c) 0 c What is the closest to 42 in 2/5, -18, 1.5, 3? 3 Which is the closest to 1/4? (a) 56908 (b) 0.1 (c) 1/3 c What is the closest to 0.1 in -0.0316, -95, 2? -0.0316 What is the nearest to 3/25 in -1/4, 0, 1, -3/32, -2/13? 0 Which is the closest to 5? (a) -2/17 (b) 5/6 (c) 0.1 (d) 3/44 (e) 12 b Which is the closest to -0.1? (a) 4/17 (b) -169 (c) 0 c What is the nearest to -2 in 5, 2, -1/4, 881? -1/4 Which is the closest to -0.1? (a) 0.03 (b) 1/127 (c) 0.2 (d) 1 b Which is the nearest to -5? (a) -0.3 (b) 111 (c) -165 a Which is the closest to 1.9? (a) 29 (b) 4/3 (c) -20 (d) 4 (e) -2 b What is the nearest to -0.097 in -1, -386, -5? -1 What is the closest to 3 in -16, -1/6, 24? -1/6 What is the closest to 209 in 1, -3/5, -2/5, -13? 1 Which is the closest to -2.212? (a) -0.1 (b) -2/5 (c) 1 (d) 0 b What is the nearest to -1/4 in 0.0791, -5/2, -3, 26? 0.0791 Which is the nearest to 1? (a) 0.2 (b) 0.1 (c) 2/13 (d) -1 a What is the closest to -1092 in -0.2, -4, 2/13? -4 What is the closest to 1 in 0.17, -4/9, 23394? 0.17 Which is the closest to -0.3? (a) 1/5 (b) 0.4 (c) 0 (d) 25.5 (e) -4 c What is the nearest to 1 in -3.6, 4, 1/2, 2.1, 0.05? 1/2 What is the closest to -0.1 in 2/3663, -0.1, -7, 0? -0.1 Which is the closest to -0.1? (a) -4/7 (b) -5 (c) -85/4 (d) 6/13 a What is the closest to -1/14 in -7, 0, -2/15, 10/7? -2/15 What is the closest to -1 in 3/5, -9/5, 152, 2/17, -0.04? -9/5 What is the nearest to -0.1 in -1/7, 2/5, 3, 0.0559? -1/7 Which is the nearest to -0.1? (a) 0.3 (b) 4 (c) 5 (d) 0.08 (e) -3/2 d Which is the nearest to 1? (a) 1 (b) 0.119 (c) 1/5 (d) -0.4 (e) 0.1 a What is the nearest to 2/7 in -4, 26, -1, 1629? -1 What is the nearest to -1/4 in 228/25, 1/2, 397? 1/2 Which is the closest to -1/2? (a) -6 (b) -0.3 (c) -1.32 (d) -1 (e) -2/9 b Which is the nearest to -1/1016? (a) 0 (b) 4 (c) -1/4 a What is the closest to 2 in 1/2, -0.5, -6, 12/7, -0.07? 12/7 Which is the nearest to 0? (a) 153 (b) 4/3 (c) -0.5 (d) 1/3 (e) 1 d What is the nearest to -0.7 in 1/2, -46, -1/5, -0.3? -0.3 Which is the nearest to -29? (a) 22 (b) -11 (c) 5 b What is the closest to 2/71 in -7, 18.6, -3? -3 What is the nearest to 1/6 in 197, 2/3, 0.1? 0.1 Which is the closest to 1? (a) 2/109 (b) 0.06 (c) -31 b What is the nearest to 3/8 in 1/6, -0.07, 0.93, 3/5, -4? 1/6 What is the nearest to -0.1 in 0.1, 0.12, -55? 0.1 What is the closest to -1 in 9, 13, -0.17? -0.17 What is the closest to -1 in -459, 2, -5, 0.4? 0.4 Which is the closest to 0.3? (a) -18 (b) 5 (c) -5 b Which is the nearest to -1? (a) 2 (b) -6/13 (c) 2/7 (d) 2/5 b What is the nearest to -5/2 in 0.053, 4/7, -15? 0.053 Which is the closest to -563? (a) -2/261 (b) 2/5 (c) 1 (d) 0.3 a Which is the nearest to -0.8? (a) -1 (b) -3 (c) -7 a Which is the nearest to -3? (a) -0.062 (b) -0.009 (c) -0.3 (d) -1/2 (e) -5 e What is the closest to -0.05416 in -5, -1/8, 0, -0.2, -2? 0 Which is the nearest to -1? (a) 1/6 (b) 7/4 (c) 52 (d) 0 (e) -5 d What is the closest to 0 in -8, 4, -0.0356? -0.0356 Which is the closest to 76? (a) -0.1 (b) 1.3 (c) -0.61 b What is the nearest to 6 in -0.08, -156, 5? 5 What is the closest to -0.1 in -1/2, 19, 2, -5? -1/2 Which is the closest to 364? (a) -3/62 (b) -2/5 (c) -2/11 (d) 4 d Which is the nearest to -267? (a) 0.2 (b) 6 (c) 43 a What is the nearest to 179 in 2/9, 145, -1/5? 145 Which is the closest to -15/52? (a) -1 (b) 0.4 (c) 1 b Which is the closest to -5? (a) 32 (b) 5 (c) 1 (d) 8 (e) -0.4 e What is the nearest to -10765 in -3, -0.2, -2/17? -3 Which is the closest to -327? (a) -0.4 (b) 1/13 (c) 3 (d) -0.1 a What is the closest to -14/9 in 5, 68/11, 0.22, -0.3? -0.3 What is the nearest to 1 in 1/14, 0, 4, 83? 1/14 Which is the nearest to 1? (a) -2/5 (b) 20 (c) 2/9 (d) 2/7 d Which is the nearest to 3/5? (a) -0.5 (b) -0.4 (c) 5 (d) 1392/7 (e) -1/4 e What is the nearest to 1 in 4, -141, 3, 0, 15? 0 What is the nearest to -0.3 in 3, 4/3, -2, -10/83, 0? -10/83 Which is the closest to 3/10? (a) 3 (b) -71 (c) -0.1 (d) -1/6 (e) -1/17 e What is the closest to -0.4 in 0.1, 4, -257/4? 0.1 What is the nearest to -0.1 in -1/5, 2/13, 2/9, -69, 1? -1/5 What is the nearest to 1.52 in -2/3, 2, 0? 2 Which is the nearest to 2/3? (a) -1/20 (b) -0.66 (c) -5/3 (d) -5 (e) -2 a What is the closest to 0 in -15, 2, 31? 2 What is the nearest to 1 in 71, -0.3, 1, 84/67? 1 What is the nearest to -4 in 0, 6.83, 8/9? 0 Which is the nearest to -3/7? (a) -2/7 (b) 248 (c) 3 a Which is the closest to 1? (a) -95 (b) 0.5 (c) 2 (d) -156 (e) -0.5 b Which is the closest to 1/4? (a) -33 (b) 19.38 (c) -0.4 (d) 3 c What is the nearest to -3093 in -6, -5, 2/13? -6 Which is the nearest to 2.2? (a) -1/11 (b) -5 (c) 5 (d) 0.1 d Which is the closest to -194? (a) 1 (b) 0.12 (c) 2 b What is the nearest to -10/619 in 0, 3, -0.1, 4? 0 What is the nearest to 5 in 3, -0.36, -2/21? 3 Which is the closest to 2? (a) -315 (b) 34 (c) -23 c Which is the nearest to -1? (a) -15257/4 (b) 3/4 (c) -4 (d) -0.23 d What is the nearest to -1/3 in -1/11, -192.56, -5, -1? -1/11 Which is the nearest to -1? (a) 0.3 (b) -62 (c) 4 (d) 6/7 a Which is the nearest to 1? (a) 0.25 (b) 45 (c) -3/8 a Which is the closest to -10.95? (a) 6/17 (b) 5 (c) -3/4 (d) -2 d Which is the nearest to 8? (a) 8 (b) 5 (c) 13/5 a What is the nearest to -1 in -4, 17, -8, -5, 0.08? 0.08 What is the nearest to -10.47 in -4, 0.1, 2? -4 What is the nearest to 1495 in -2, 3/4, -1/4, -3/7? 3/4 What is the nearest to 0 in -3, 1/2, -5/252, -1? -5/252 What is the closest to -0.07 in 1, 2/13, -0.4, -8/239? -8/239 What is the closest to -4 in -3/4, -1/235, 5, -3? -3 What is the closest to -3 in 0.24, -3.04, 1/8? -3.04 What is the closest to -1 in 14, -2/21, -0.057, -2/35? -2/21 What is the nearest to -2446 in -4, 0.027, 4? -4 What is the nearest to 0 in 4, 2/7, -5, -1, 24.15? 2/7 Which is the closest to 0.5? (a) -0.5 (b) -171 (c) -4 (d) 2 a What is the nearest to 0 in 2/7, -1, 1703? 2/7 What is the closest to 0.1 in -1485, -2, 0? 0 What is the closest to 0.74 in -5, 13, -0.18, -0.1? -0.1 Which is the nearest to 1.1? (a) 1 (b) -0.2 (c) 17.52 a What is the closest to -3 in -3, -5, 2/7, -0.0199? -3 Which is the nearest to -2/43? (a) 0.15 (b) -2 (c) 0.1 (d) -102 c What is the closest to 2/5 in 0.164, -5/13, 0? 0.164 Which is the closest to 3? (a) 0.3 (b) -2/15 (c) 23/2 (d) 3 d Which is the closest to 2? (a) 277 (b) 0.2 (c) 0.1 (d) -2 (e) -0.5 b What is the nearest to -0.1 in -0.65, -5, -0.2? -0.2 What is the nearest to -2 in -36.26, -3, -4/7, -0.4? -3 What is the closest to -0.3 in -0
{ "pile_set_name": "DM Mathematics" }
(-2*n + 2*n**2 + 2*n) + 0*n**3 + n**3 - 2*n**3 + 8*n**3 - 5*n**3 + 3*n**3 as s + z*n + d*n**3 + c*n**2 and give d. 3 Express 0*r - 4*r + 6*r + (-1 - 1 + 4)*(4 + r - 4) + 3*r + 5*r - 4*r in the form u + k*r and give k. 8 Express 4*q - 7*q - 21 + 0*q in the form i + h*q and give h. -3 Express (1 + 2*s - 1)*(0 - 2*s**3 + 0) - 3*s**4 - s**4 + 0*s**4 + s**4 + 2*s**4 - 4*s**4 in the form z + x*s**2 + r*s + q*s**3 + c*s**4 and give c. -9 Rearrange 4*j + 4*j**2 + 355 - 355 to b*j + a*j**2 + d and give a. 4 Rearrange -j**2 + 2*j**2 + j**2 + (18*j - 5*j - 2 + 12*j)*(2*j + 0 + 0) to the form g*j + v + i*j**2 and give g. -4 Express -3*s**3 + 4*s**2 + s**4 + 2*s**3 - 2*s**3 - 2*s as l*s**3 + o*s**2 + t*s + m + h*s**4 and give t. -2 Express (-d - 2*d + d)*(1 + 1 - 1) - 37 + 3*d + 37 as k*d + v and give k. 1 Rearrange (-j**2 - 2*j**2 + 2*j**2)*(0*j**2 + 7*j**2 - 2*j**2) to i*j**3 + h*j + o + t*j**2 + p*j**4 and give p. -5 Rearrange (w + 1 - 1)*(2 + 4 - 5)*(5*w**3 - 2*w**3 - 5*w**3 + (12*w**2 - 20 + 20)*(3*w - 5*w + 3*w)) to the form p*w + l + g*w**4 + j*w**2 + d*w**3 and give g. 10 Express 120 - 120 - 3*q as d + k*q and give k. -3 Express -2*n - 3*n + 4*n + (-2*n - 4*n + 4*n)*(5 - 2 - 4) + 25*n - 16*n - 27*n + (2 - 5 + 4)*(-n + 4 - 4) + 2*n + 0 + 0 in the form k*n + i and give k. -16 Express 4*y + y - y + 7*y in the form q + u*y and give u. 11 Rearrange ((-5*i**2 + 4*i**2 - i**2)*(0*i + 2*i - i) + 8*i**3 - 4 + 4)*(4*i - 2*i - 3*i)*(-3 + 0 + 0) to the form v*i**4 + f*i**2 + x*i + t + b*i**3 and give v. 18 Rearrange -2*z**4 + z + 4 - 2*z**4 - 2 + 2*z**2 to the form n + b*z**2 + r*z**4 + q*z**3 + t*z and give t. 1 Rearrange -7*k**2 + k**2 - 9*k**2 + 2*k**2 to the form d*k**2 + x + f*k and give d. -13 Express (-4*f + 2*f - 3*f)*(-28*f + 9*f - 1 + 13*f) in the form m + l*f**2 + y*f and give y. 5 Express -6*k + k**3 + 6*k - k**4 - 2*k**2 + 0*k as m*k**4 + r*k**2 + z + s*k**3 + o*k and give m. -1 Express (-2 - 1 + 2)*(-4*x + 6*x - x + (-2 + 2 + 2*x)*(1 + 4 + 0) + 5*x - 2*x + 0*x) in the form t + z*x and give t. 0 Rearrange -2*g + 2*g - 2*g + (4*g - 2*g - 3*g)*(-5 + 4 + 0) - 7*g + 12*g + 0*g to s + m*g and give m. 4 Express (0 + 2 + 2)*(-1 - 1 + 0)*(4*h**3 - 4*h**3 + h**3) in the form r + g*h + d*h**3 + a*h**2 and give d. -8 Express -1 - 4 + 3 + 0 + 18*p in the form f + v*p and give f. -2 Express -2*f**4 + 2*f**2 - f**3 + f**2 - 2*f**2 + 1 + 4*f**4 - 3*f in the form d*f**2 + q*f**3 + l + p*f + m*f**4 and give m. 2 Express -9*d + d**2 + 2 + 204*d**3 - 2*d**4 - 204*d**3 in the form v + p*d + o*d**2 + w*d**3 + u*d**4 and give v. 2 Rearrange 6*h + 16*h**3 - 8*h**3 - 10*h**3 + (h + 5 - 5)*(2 - h**2 - 2) to f + l*h + r*h**3 + g*h**2 and give r. -3 Express 3*x**3 - 4*x**3 - 2*x + 3 - 15 + 7*x**4 - 6*x**4 in the form c*x**3 + i*x**2 + v + g*x + o*x**4 and give c. -1 Rearrange (-1 + i + 1 + (4 - 5 - 1)*(-4*i + 0*i + 2*i) + 2 - 2 + 2*i + (-1 + 6 - 3)*(-3*i - 3*i + i))*(0 + 0 + i) to the form a + o*i**2 + y*i and give o. -3 Rearrange 14*x**2 - 2*x**4 - 2*x - 2*x**2 + 4*x to the form k*x**3 + z + n*x**4 + r*x**2 + o*x and give r. 12 Rearrange (-4 + 4 - 4)*(4 - 4 - g)*(-2*g**3 + 0*g + 0*g) to the form d*g + k + r*g**4 + h*g**3 + c*g**2 and give r. -8 Rearrange (4 - 2 - 3)*(-13*l**3 - 49*l**3 + 28*l**3) to the form o*l**3 + b + x*l + v*l**2 and give o. 34 Rearrange -11 - 7*b**4 + 1 + b**3 + 4*b**4 + b**4 to q + x*b**4 + n*b**2 + g*b**3 + o*b and give x. -2 Rearrange 42*v + 2*v**3 + 6*v**2 - 6 - 26*v - 15*v + 0*v**3 to p + o*v**3 + j*v + x*v**2 and give j. 1 Rearrange -u + 18*u**2 + 35*u**2 - 1 - 2*u**2 - 7*u**2 to l*u + s + h*u**2 and give l. -1 Express -43 + 89 - 54 - l**2 + l**3 as c*l**2 + u*l + g*l**3 + m and give g. 1 Rearrange (-3 - 2 + 3)*(3*x**2 - 11*x**3 - 3*x**2)*(-x + 3*x - 4*x) to the form n*x**4 + g*x**3 + y + m*x**2 + o*x and give n. -44 Express (-3 + 3 - 3*m)*(-3*m**2 + 4*m**2 - 3*m**2)*(0 - 1 + 3) + 19*m**3 - 17*m**2 + 17*m**2 in the form r*m + k + y*m**2 + z*m**3 and give z. 31 Express (3*n - 2*n**3 - 3*n)*(-6*n - 4*n + 4*n + (-n + 3 - 3)*(2 + 0 - 3)) as c + b*n**2 + j*n**4 + u*n**3 + w*n and give u. 0 Express 114*v + 7 - 229*v - 7 in the form f + p*v and give p. -115 Express 13 + 11 + n - 17 as b + f*n and give f. 1 Express (-2*u - u + 4*u)*(0 + 1 + 3)*(-39 + 10 - 27) as r*u + w and give r. -224 Rearrange 0*l**2 + 5*l**2 + 8*l - 2*l**2 to d*l**2 + s*l + p and give s. 8 Express -4 - 3 + 3*q**3 + 2*q + 6 + 0*q as x*q + u*q**3 + n + p*q**2 and give u. 3 Rearrange 98 + 106 - 45*g - 206 to the form w*g + a and give w. -45 Express -28*q**3 + 2*q**3 - 74*q**2 + 73*q**2 as f*q + w + d*q**3 + t*q**2 and give w. 0 Express 0*g + 20*g + 19*g as t + d*g and give d. 39 Express -4*m + 3*m - m + 6*m + m - 3*m + (1 - 1 - 2)*(0*m + 3*m - 2*m) + (2 + 6 - 2)*(-m + m - m) + 0*m + m + m as r*m + n and give r. -4 Rearrange 24 - 24 - 7*x to h*x + c and give h. -7 Express -4 - 66*b - b**3 - 3*b**4 + 65*b + 5*b**4 in the form k + o*b**2 + c*b + l*b**4 + g*b**3 and give c. -1 Rearrange (-4 + 4 + g**2)*(16*g + 51 - 51)*(-3*g + 2 + 3*g - 3*g) to the form h*g**4 + s*g + w*g**2 + q*g**3 + o and give h. -48 Rearrange (0*g**2 - 2*g**2 + 0*g**2)*(-251*g**2 + 113*g**2 + 102*g**2) to w*g**2 + h*g + i + l*g**3 + c*g**4 and give c. 72 Rearrange (5 + 6 - 9)*((u - u - u)*(-1 - 1 + 3) - 2*u - 2 + 2 - 6*u - 7*u + 5*u) to the form m + f*u and give m. 0 Rearrange h**4 + h**3 - h**3 - h + h - 2*h**4 + (-7*h - 53 + 53)*(-4*h + h**3 + 4*h) - h**4 - 2*h + 2*h to p + o*h**4 + x*h + k*h**2 + l*h**3 and give o. -9 Express (3*n - 3*n - n**2)*(11*n - 2 + 4*n - 2*n) + 0*n + 2*n**3 + 0*n in the form h*n**3 + z*n**2 + a + g*n and give h. -11 Express (17 - 23 - 28)*(9*a + 9*a - 26*a) in the form l + w*a and give w. 272 Express (-2 + 0*k - 12*k + 0)*(-3*k**2 - 3*k + 3*k) as s*k**3 + q*k**2 + i + n*k and give q. 6 Rearrange 0 + 8*r**2 - 34*r + 33*r - 1 to m*r**2 + p*r + q and give p. -1 Rearrange 3*o**2 - 4*o**2 + 9*o + 2*o**2 - 3*o**2 to s*o**2 + v + c*o and give c. 9 Rearrange (0*v - 2*v - 10*v)*(-2*v**2 + 3 + v**2 - v**2) to the form j*v**3 + n*v**2 + c + w*v and give w. -36 Express 5*s**2 + 4*s**2 - 9*s**2 + 5*s**2 in the form y*s**2 + h*s + z and give y. 5 Express (-1 + 2 + 2)*(3*s - 9*s + 9*s)*(4*s - 3*s + 0*s) in the form m + l*s**2 + k*s and give l. 9 Express i**3 + 29*i - 28*i + i**3 - 5 - 18 in the form l*i**3 + d*i + j*i**2 + q and give q. -23 Rearrange 8*l - 7*l - 16*l + l**2 to the form t + p*l**2 + j*l and give p. 1 Express (4 + 2 - 4)*(3 - 4 - 18*k + 4) as p*k + h and give h. 6 Rearrange z**3 - 3*z**2 + 22*z**4 - 3*z + z**2 - 20*z**4 to the form r*z**4 + o + l*z + c*z**3 + j*z**2 and give c. 1 Express -21*t**3 - 8*t**2 - 15*t**3 + 37*t**3 - 2 + t in the form y*t**2 + r*t**3 + l*t + z and give r. 1 Rearrange 4*g - 13*g - 2*g to w*g + z and give w. -11 Rearrange (v + 0 + 0)*(2*v - v - 3*v) + v**2 - v**2 + 9*v**2 to d + p*v + r*v**2 and give r. 7 Express (-24*p - 46*p + 19*p + (p - 3*p + p)*(-3 + 3 + 2))*(-5 + 1 + 3) as d + h*p and give h. 53 Rearrange -2*m + 0*m**2 + 0*m + 3*m**2 - 10*m**2 to a*m + u*m**2 + b and give u. -7 Express -8*j**2 + 17*j + 7*j**2 - 50*j in the form m + v*j + c*j**2 and give c. -1 Rearrange -6*n**4 - 1 + 3*n**3 + 2*n + 5*n**4 - 1 - 4*n**3 to the form v*n**2 + g*n + d*n**4 + k*n**3 + j and give j. -2 Rearrange z**4 + 4*z**2 - 4*z**2 + (-27*z**3 + 150*z**2 - 150*z**2)*(3*z - z + 0*z) to the form m*z**3 + f*z**4 + t*z**2 + n + i*z and give f. -53 Express 2*b - 8*b**2 + 30 - 24*b**2 + 34*b**2 in the form q*b + f + l*b**2 and give f. 30 Express -101*x + 101*x + 90*x**4 + (3*x**2 + x**2 - 2*x**2)*(-4*x**2 + x**2 + 4*x**2) in the form c*x**3 + t + r*x**4 + p*x**2 + g*x and give r. 92 Express 23 + t - 3*t**3 - 31 - 3*t in the form b + v*t**3 + r*t**2 + y*t and give b. -8 Express -1 - 14*s**2 - 3*s**3 + 0*s**2 + 13*s**2 in the form c*s**2 + a*s**3 + g*s + b and give a. -3 Rearrange -3*t + 2*t**3 - 13 + 31 + t - 12 to m*t**2 + k*t + v + r*t**3 and give k. -2 Express -2 - 6*v**3 + v**2 - v**3 + 5*v**3 + 6 as z + x*v**3 + n*v + r*v**2 and give x. -2 Rearrange -8*p - 2*p + 2 - 5*p + p to the form a + h*p and give h. -14 Express -p + 5*p + 7*p as s*p + w and give s. 11 Express 2*h + 0*h - 3*h + (2 - 2 - 2)*(-h + 3*h - h) + 23*h - 10*h - h in the form l + j*h and give j. 9 Express -6*v + v +
{ "pile_set_name": "DM Mathematics" }
of 52/17 and 63/272. 272 What is the smallest common multiple of 7 and 1082? 7574 Find the common denominator of 85/378 and 167/270. 1890 Calculate the common denominator of -103/165 and -17/220. 660 Calculate the common denominator of -91/38 and 7/114. 114 What is the common denominator of -47/3429 and 73/4191? 37719 Calculate the lowest common multiple of 40 and 416. 2080 Find the common denominator of -155/6798 and 1/5. 33990 Find the common denominator of 59/28 and -105/152. 1064 Calculate the smallest common multiple of 15 and 1101. 5505 What is the lowest common multiple of 3902 and 2? 3902 Calculate the least common multiple of 24 and 36. 72 What is the smallest common multiple of 72 and 1641? 39384 Calculate the smallest common multiple of 9 and 3510. 3510 Calculate the common denominator of -13/16 and 13/206. 1648 Calculate the common denominator of 117/3560 and -1/7. 24920 Calculate the smallest common multiple of 630 and 567. 5670 What is the smallest common multiple of 98 and 14? 98 Calculate the least common multiple of 1620 and 432. 6480 What is the smallest common multiple of 88 and 132? 264 What is the common denominator of -47/354 and 73/12? 708 What is the common denominator of 31/377 and 20? 377 Find the common denominator of 47/3882 and 73/24. 15528 What is the smallest common multiple of 9030 and 72? 108360 What is the least common multiple of 96 and 264? 1056 Find the common denominator of 187/780 and -133/702. 7020 What is the least common multiple of 108 and 123? 4428 Calculate the least common multiple of 231 and 210. 2310 What is the smallest common multiple of 63 and 28? 252 Find the common denominator of -52/35 and -155/546. 2730 What is the smallest common multiple of 3624 and 7248? 7248 Calculate the lowest common multiple of 6 and 24. 24 What is the least common multiple of 2 and 1? 2 What is the common denominator of 7/72 and 139/60? 360 Calculate the lowest common multiple of 1090 and 327. 3270 What is the common denominator of -139/25350 and 17/30? 25350 What is the lowest common multiple of 21 and 21? 21 What is the common denominator of -35/54 and 161/60? 540 Calculate the least common multiple of 1089 and 10. 10890 What is the common denominator of -68/45 and 56/81? 405 Calculate the lowest common multiple of 54 and 8. 216 What is the common denominator of -61/394 and -58/3? 1182 Calculate the common denominator of -81/130 and -85/14. 910 Calculate the common denominator of -41/21 and -4/9. 63 Calculate the common denominator of 29/120 and -91/90. 360 What is the common denominator of -67/120 and -44/135? 1080 What is the lowest common multiple of 1 and 1236? 1236 Find the common denominator of -163/1764 and 89/294. 1764 What is the least common multiple of 4 and 24724? 24724 What is the common denominator of 37/190 and 139/360? 6840 What is the common denominator of -79/104 and -87/20? 520 What is the smallest common multiple of 2142 and 1386? 23562 Calculate the smallest common multiple of 450 and 100. 900 Calculate the lowest common multiple of 4 and 50. 100 Calculate the least common multiple of 96 and 12. 96 Find the common denominator of 9/8 and -99/850. 3400 What is the common denominator of 67/1336 and 57/1336? 1336 Calculate the least common multiple of 18 and 18. 18 Calculate the smallest common multiple of 12 and 36. 36 Calculate the smallest common multiple of 85 and 35. 595 Calculate the common denominator of 101/774 and -8/27. 2322 What is the common denominator of 68/39 and -8/3? 39 What is the smallest common multiple of 1795 and 50? 17950 What is the common denominator of -17/342 and -85/216? 4104 Find the common denominator of 103/120 and 61/120. 120 Calculate the lowest common multiple of 20 and 16060. 16060 Calculate the lowest common multiple of 16 and 20198. 161584 What is the lowest common multiple of 45 and 6? 90 Find the common denominator of -47/13032 and 59/2. 13032 Calculate the lowest common multiple of 153 and 102. 306 Calculate the least common multiple of 12 and 40. 120 Calculate the lowest common multiple of 2279 and 215. 11395 Calculate the least common multiple of 3192 and 4. 3192 Calculate the lowest common multiple of 231 and 66. 462 Find the common denominator of -73/8 and -69/488. 488 What is the least common multiple of 730 and 1168? 5840 Find the common denominator of -73/33 and 73/465. 5115 What is the least common multiple of 748 and 408? 4488 Find the common denominator of 55/7 and 55/7. 7 Calculate the lowest common multiple of 6 and 5010. 5010 Calculate the smallest common multiple of 896 and 8. 896 What is the least common multiple of 80 and 3720? 7440 What is the lowest common multiple of 1450 and 1160? 5800 What is the common denominator of -127/890 and -4/1157? 11570 What is the lowest common multiple of 24 and 60? 120 Find the common denominator of 131/48 and 13/768. 768 What is the smallest common multiple of 28 and 42? 84 What is the common denominator of 34/135 and 59/27? 135 Calculate the lowest common multiple of 105 and 525. 525 Find the common denominator of -1/24 and 59/99. 792 Calculate the lowest common multiple of 894 and 9. 2682 Calculate the common denominator of 4 and -49/18. 18 Calculate the smallest common multiple of 94 and 2350. 2350 Calculate the smallest common multiple of 22 and 10. 110 Calculate the least common multiple of 15 and 591. 2955 What is the least common multiple of 21 and 3? 21 What is the smallest common multiple of 35 and 840? 840 Calculate the least common multiple of 11 and 2418. 26598 Find the common denominator of 83/1386 and 121/18. 1386 Calculate the common denominator of -113/48 and 73/204. 816 What is the least common multiple of 595 and 4? 2380 Calculate the lowest common multiple of 799 and 94. 1598 What is the least common multiple of 36061 and 8? 288488 What is the lowest common multiple of 1558 and 133? 10906 Find the common denominator of 63/8 and 39/14. 56 Calculate the lowest common multiple of 178 and 14. 1246 Calculate the lowest common multiple of 228 and 418. 2508 Calculate the lowest common multiple of 1797 and 6. 3594 Find the common denominator of 113/126 and -23/294. 882 Calculate the smallest common multiple of 24 and 12. 24 Calculate the common denominator of 1/1050 and -8/2625. 5250 Calculate the least common multiple of 414 and 46. 414 Find the common denominator of -143/12 and 16/57. 228 Calculate the common denominator of 13/22 and 23/84. 924 What is the smallest common multiple of 5015 and 51? 15045 What is the least common multiple of 1125 and 45? 1125 Calculate the least common multiple of 30 and 498. 2490 What is the common denominator of 79/21 and -38/35? 105 Find the common denominator of -121/18 and 19/2184. 6552 What is the common denominator of -45/2204 and -91/16? 8816 What is the common denominator of -163/1020 and 99/136? 2040 Calculate the common denominator of -67/352 and 59/1088. 11968 Calculate the smallest common multiple of 30 and 530. 1590 Calculate the lowest common multiple of 2360 and 1475. 11800 What is the least common multiple of 72 and 3552? 10656 What is the common denominator of -55/6 and -58/3? 6 What is the common denominator of -109/12 and 85/6? 12 Calculate the smallest common multiple of 1824 and 1064. 12768 What is the common denominator of -49/240 and -31/24? 240 Calculate the lowest common multiple of 132 and 594. 1188 What is the common denominator of -39/16 and -53/4096? 4096 Find the common denominator of -41/12 and 121/60. 60 Find the common denominator of 47/204 and 3/2. 204 What is the common denominator of -33/424 and -35/212? 424 Find the common denominator of -21/44 and 88/15. 660 What is the common denominator of 1/7744 and 35/1936? 7744 Calculate the least common multiple of 2 and 20197. 40394 Calculate the smallest common multiple of 636 and 38. 12084 What is the common denominator of 20/63 and -107/18? 126 What is the least common multiple of 66 and 23? 1518 Calculate the common denominator of -61/248 and -83/2. 248 Find the common denominator of 30/49 and -61/70. 490 Calculate the common denominator of -53/49 and -10/63. 441 Calculate the common denominator of 101/18 and -149/126. 126 Calculate the smallest common multiple of 84 and 540.
{ "pile_set_name": "DM Mathematics" }
o + 1 as v + l*o and give l. 390 Rearrange -6*f**2 - 2*f**4 - 6*f + 944065*f**3 - 2 - 944067*f**3 - 11*f**2 to the form r*f**3 + v*f**4 + n*f + j + a*f**2 and give v. -2 Rearrange (-10564*m + 20898*m - 10540*m)*(0 - 3 - 1) to l*m + f and give l. 824 Rearrange (-5*q - 2*q + 5*q)*(-3 + 1 + 4)*(6*q - 130203*q**2 + 174943*q**2 + 7*q - 13*q) to the form s + w*q + c*q**2 + a*q**3 and give a. -178960 Rearrange 10791 - 10791 + 181*z**4 + (6 - 4 - 3)*(39*z**4 + 50*z**4 - 54*z**4) to the form m*z + d*z**3 + k + y*z**2 + h*z**4 and give h. 146 Express -337*u**4 + 1 + 64*u**2 - 66*u**2 - u**3 + 325*u**4 - 2 in the form p*u**4 + i*u**2 + c*u**3 + d*u + f and give i. -2 Rearrange (-114*m**2 + 334*m**2 - 112*m**2 - 108*m**2 + 1060*m**3)*(8 - 8 + 8)*(0 - 2 - 3) to the form g*m**3 + w*m**2 + b*m + x and give g. -42400 Express 7553*m - 3778*m - 406*m**2 - 3775*m + 15754*m**2 as p*m**2 + w*m + f and give p. 15348 Express (-17 + 19 + 35)*(15*s**3 - 1 - 21*s**3 - 10*s**3) as c + t*s**2 + d*s + q*s**3 and give c. -37 Express (1 + 1 - 4)*(10*o**2 + 44 - 44) + (0*o - 2*o + 3*o)*(2 - 2 + o) + (-6 - 6*o + 6)*(-41 - 5*o + 41) as y + a*o + s*o**2 and give s. 11 Rearrange 771*d + 20*d**3 - 403*d - 430*d to the form p*d + r*d**3 + q + a*d**2 and give r. 20 Rearrange 858 - 2231*o**4 - 858 + (-3 - 3 + 4)*(-4*o**4 + 5*o**4 + 0*o**4) - 2*o**4 + 3*o**4 - 4*o**4 to u + c*o**3 + h*o + r*o**4 + w*o**2 and give r. -2236 Rearrange -4154*a + 398*a - 5709*a to j*a + g and give j. -9465 Rearrange 292 - 292 + 37*r + 3*r**2 - 7*r**2 - 42*r - 17*r**3 to v + u*r**2 + t*r**3 + s*r and give s. -5 Rearrange -2453 - 2747 + 93 + w**2 to o + b*w**2 + i*w and give o. -5107 Express 534*j + 185*j - 125 + 128 in the form v + l*j and give l. 719 Rearrange (1 + 4 + 0)*(-4 + 4 - 4*t)*(4*t - 4*t - t) + 71*t + 22 + 31 - t**2 - 70*t to the form j*t + w*t**2 + s and give j. 1 Express -14*q**4 + 5577*q - 167 - 5575*q - 10*q**4 + 2*q**2 + 2*q**4 - q**2 as d*q**2 + p*q**4 + r*q**3 + g + j*q and give g. -167 Rearrange -i**2 - 5715 - 658*i + 147*i + 5715 - 12*i**4 to the form r + u*i**4 + l*i**3 + w*i + d*i**2 and give u. -12 Rearrange 986 - 986 + 17214*r - 6021*r to the form j*r + v and give v. 0 Rearrange 4608*i**3 + 37 - 34 - 4556*i**3 to the form w + q*i + u*i**3 + x*i**2 and give w. 3 Express 1350*g**3 - 16*g + 40*g - 1349*g**3 + (6 - 3 - 4)*(-2*g + 2*g - g**3) + 4*g - 4*g + g**3 + 3*g**3 + 4 - 4 as h + s*g**3 + k*g**2 + d*g and give d. 24 Express -1989*v**2 - 1940*v**2 - 4 + 4098*v**2 as f*v + q + j*v**2 and give q. -4 Express 0*a - 4*a + 3*a + (3 - 3 - 1)*(-3 + a + 3) + 39*a + 56*a + 79*a - 7*a - a + a in the form p*a + b and give p. 165 Express -2 - 4*v - 3*v + 4*v + (-3 - 7 + 6)*(0*v + 0*v - 4*v) + (-1 - 1 + 4)*(-v + 3*v + 0*v) - 6*v + 2*v - 4*v as r + y*v and give r. -2 Express 4*b - 13*b + 10*b - 89 + 0*b + 5*b as w + i*b and give w. -89 Express (76*x - 74*x + 244*x)*(-x - 2*x**3 - 4*x**3 + 4*x**3) as q*x + m*x**4 + v*x**3 + z + i*x**2 and give i. -246 Express (5 - 6 + 8)*(-t - 251 - 22*t + 252)*(-t**2 - 4*t**2 - 66*t**2) as n*t**2 + i*t**3 + s*t + x and give n. -497 Rearrange -77*m**2 + 24*m - 715492 + 357747 + 357746 to the form z*m**2 + t*m + j and give z. -77 Rearrange m + 95*m**3 - m**2 + 4*m + 329*m**3 - 77*m**3 - 3*m to b + w*m**2 + g*m + p*m**3 and give p. 347 Rearrange -351*f**4 + 695*f**4 - 36*f**3 + 3*f**2 - 346*f**4 - 1 - f + f - f to the form k*f**3 + w*f + t + o*f**4 + c*f**2 and give k. -36 Rearrange -3543*c + 525*c - 562*c to the form f + d*c and give d. -3580 Rearrange -5*v**3 + 2*v**3 + 2*v**3 + 4807 + 171*v**3 - 9614 + 4806 + (-v**2 - v**2 + 0*v**2)*(2 + 2*v - 2) to p*v**3 + k*v + g + o*v**2 and give g. -1 Rearrange -1012*j + 578 - 1009*j + 2022*j to the form r*j + t and give r. 1 Rearrange -101 - 73 + 4*x**2 - 11*x - 15 + 87 to the form r*x**2 + c*x + b and give b. -102 Rearrange -14920*h + 14918*h + 5 - 5 + 75*h**3 + h**2 to the form r*h**3 + c*h + l*h**2 + j and give r. 75 Express (132*i - 52*i**3 + 25*i**3 + 28*i**3)*(-12*i - 6*i + 7*i) as w + q*i**2 + j*i**4 + z*i**3 + p*i and give p. 0 Rearrange 3*d**4 - 2*d + 2*d + 9 - 2*d**4 - 14*d**3 - 7 + 0*d**3 + (-d - 4*d - d)*(-3*d - d**3 + 3*d) to the form v*d**2 + n + l*d + s*d**3 + f*d**4 and give f. 7 Express -6*d**2 + 13 + 2*d**3 - 3 - 8 + 10*d**2 + 22*d**4 in the form n*d**3 + o*d**4 + r + c*d**2 + f*d and give o. 22 Rearrange 7*s + 13*s**3 + 0*s**4 - 192*s**2 + 3*s**4 - 12*s**3 + 187*s**2 to h*s**2 + b*s**3 + v + c*s**4 + y*s and give y. 7 Express -2*r**3 - 986*r**2 - 983*r**2 - 20 + 2953*r**2 - 985*r**2 + r**3 - 128*r in the form d*r**2 + y + s*r**3 + q*r and give q. -128 Express -2*w**2 + 116*w - 245 + 9*w + 3*w**3 + 127 + 117 in the form o*w + k + s*w**3 + a*w**2 and give o. 125 Express 5*n**4 + 9 + 4*n**2 + 36911*n**3 - n - 7 - 36912*n**3 in the form y*n**3 + d + q*n**4 + o*n**2 + r*n and give o. 4 Express (10*f - 38 + 38)*(0*f - 34*f - 9*f) + f**2 - 11*f**2 + 9*f**2 in the form o*f**2 + z*f + c and give z. 0 Rearrange (-6*o + 25*o + 37*o)*(15*o - 4*o + o) - o + o + o**2 to l*o**2 + c + n*o and give l. 673 Rearrange (8*p**2 + 5*p**2 + 3*p**2)*(1 + 4 - 4)*(19*p - 61*p + 18*p) to w*p**2 + t*p + b + y*p**3 and give y. -384 Rearrange 304*f + 567*f + 1758*f + 5326*f - 828*f to the form j*f + q and give j. 7127 Express -2 - 32*j**3 + 11*j**4 - 2*j**2 + 0*j**2 - 7*j**4 - 10*j + 40*j**3 as f + v*j + m*j**4 + n*j**3 + c*j**2 and give v. -10 Rearrange (3 + 3 - 4)*(-2*v**3 + v**3 + 0*v**3) - 53711*v**3 + 1352 + 1351 + 1350 - 4053 to d + i*v**3 + q*v**2 + l*v and give i. -53713 Rearrange (3 - 3 - 5*b)*(0 - 1 - 1)*(2 - 2 - 2)*(410 + 473 - 986)*(b - 3*b - b) to the form k*b**2 + s + t*b and give k. -6180 Rearrange (-3 - 2 + 7)*(-4 - 3*b**3 + 4) + 46*b**3 - 821*b**2 + 393*b**2 + 407*b**2 to d*b**2 + t*b + c + x*b**3 and give x. 40 Express 378 - 123 - 125 + 3561*v - 130 in the form x*v + r and give x. 3561 Express 481 + 264*w - 250 - 178 as x + t*w and give t. 264 Rearrange -7*q**2 - 3 + 2 + 4*q - 2*q**4 - 13*q + 8*q**2 + 9*q**3 + 0 to the form v + i*q**3 + h*q**4 + r*q + d*q**2 and give v. -1 Express -20 - 131*g + 3 + 17 - 4703*g**2 + 129*g as q*g**2 + v + c*g and give c. -2 Rearrange 0*g**2 - 6*g + 21*g**2 - 52*g**2 - 3 + g**3 + 19*g**2 to the form y + r*g**2 + k*g + d*g**3 and give r. -12 Rearrange (214 + 33 + 202)*(0*a**2 + 5*a**2 - 3*a**2) to the form o*a**2 + u*a + r and give u. 0 Express 37*h**3 - 18*h**2 - 148*h**3 + 17797 + 17791 - 35587 in the form c*h**2 + k*h + x*h**3 + r and give c. -18 Rearrange (1093 + 1475*o - 2195 + 1102)*(-9 - 33 - 27) to the form a*o + r and give a. -101775 Rearrange 0*n**2 + 64*n + 629432 - 2*n**2 - 629431 + (-5*n + 2*n + n)*(-3*n + n + n) + 0*n**2 - 2*n**2 + n**2 to the form l*n + i*n**2 + u and give l. 64 Express -25 - 17 + 54 + 5426*q - 12 in the form s*q + b and give s. 5426 Rearrange ((-3*r + r + r)*(0 + 1 + 1) + 7*r - 4*r + 0*r)*(-12 - 11 + 3)*(1 + 1 - 3) to the form k*r + x and give k. 20 Express 954*m + 958*m - 1911*m + 15*m**2 + m**2 - 5*m**2 + 0*m**2 + (3 - 2*m - 3)*(0*m + 0*m + 2*m) + 79*m - 9*m**2 - 79*m as p + v*m + o*m**2 and give o. -2 Rearrange 87*l**3 - 154 - 11*l**2 - 43*l**3 - 43*l**3 + 131 + 134 to the form g + y*l**3 + t*l + d*l**2 and give d. -11 Rearrange -113*v**2 + 150 - 109 + 112*v**2 - v + 0 + 3*v**2 + 0 + v**2 - v + v + (3*v - 2*v - 3*v)*(0*v + v + 0*v) to r*v + j + c*v**2 and give c. 1 Express (5*l + 7*l + 0*l)*(39 + 11 - 16)*(-4 - 3 + 1 - 2 + 0 + 1 + (0 + 0 + 2)*(-1 + 7 - 3)) in the form y + b*l and give b. -408 Rearrange 34 + 14*k - 2 + 19 - 16 + 16 to t + d*k and give d. 14 Rearrange 131 - 766949*h + 40 + 766952*h to z*h + p and give z. 3 Express 0 - 2*m + 0 - 334 + 334 + 117*m + 2*m - 6*m + 5*m + (-5 + m + 5)*(-1 - 2 + 4) as n + x*m and give n. 0 Rearrange 2*r**2 + 18*r - 68 - 73 - r**2 - 41 to the form o*r**2 + c + x*r and give x. 18 Rearrange -103 + 161 - 47 - 11*k - 70 - 2*k**3 - 11*k to the form n + t*k + u*k**3 + j*k**2 and give u. -2 Rearrange 131 + 2*m + 12*m + 3*m - 21*m + 6*m to the form g + c*m and give c. 2 Rearrange 3*a - 2979 + 13*a**2 + 2*a**3 + a**4 + 112*a**2 + 2975 + 5*a**2 to c*a**3 + s*a**4 + y*a**2 + l*a + f and give y. 130 Express -630*j + 108*j**3 + 11*j**2 + 1216*j - 585*j in the form a*j**3 + d*j**2 + v*j + b and give a. 108 Rearrange (3 - 3 -
{ "pile_set_name": "DM Mathematics" }
*a - 4*h + 13, -4*a - 23 = h. Let b = 336/1969 - -2/179. Sort a, b, 3. a, b, 3 Let v = -0.3 + -2.75. Let b = v + 0.05. Let k = 83/12 + -49/6. Sort k, b, 0.1 in descending order. 0.1, k, b Suppose -3*i - 4*v = 0, -i + 1 - 6 = 3*v. Let o be (-1)/((-6)/4)*3. Sort i, -2, o. -2, o, i Let j(s) = 30*s + 23*s - 58*s + 25. Let v be j(6). Suppose -w = 2*g + 2, 3*w = g - 4*g. Sort g, v, 4. v, g, 4 Let y = 87 + -60. Let w = y - 24. Let v(p) = -p**3 + 3*p**2 - 2*p + 4. Let q be v(3). Put q, w, -4 in ascending order. -4, q, w Let i(v) = 7*v**3 + 3*v - 2. Let c be i(1). Let x = c - 3. Suppose -u + 3*u - 2*y + 2 = 0, -x*y = u - 5. Sort u, -4, 6 in descending order. 6, u, -4 Let q be -1 - (-5)/((-15)/(-12)). Put 6, 0, -1, q in decreasing order. 6, q, 0, -1 Suppose 17*h = 12*h + 10. Let d be (6/(-18))/((-2)/(-12)). Sort -5, h, d in decreasing order. h, d, -5 Suppose 73*w + 6 = 79*w. Sort 214, w, -1 in decreasing order. 214, w, -1 Let y = -27 + 16. Let m = y + 9. Let g = -29/2 - -15. Put m, -1/2, g in increasing order. m, -1/2, g Suppose i = u - 4 + 6, i - 4*u = -4. Put -10, -1, i, 1 in decreasing order. i, 1, -1, -10 Let a be (8/(-5) - -2)*20/8. Let u be (0 + -4)/((-1)/(-2)). Let g be ((-3)/(-2))/(u/(-16)). Sort g, a, 5. a, g, 5 Let a be (-6 - -2) + 2 - (71 + -75). Let v(h) = -h**2 + 4*h + 6. Let w be v(5). Sort w, a, 3. w, a, 3 Suppose -13*w + 92 - 144 = 0. Put 2/15, 4, -1, w in descending order. 4, 2/15, -1, w Suppose -90*n + 116*n = 728. Put 1, 3, -2, n in descending order. n, 3, 1, -2 Let d = 199 + -200. Sort 2/9, -1/2, d. d, -1/2, 2/9 Suppose -3*t = -0 + 3. Let p(k) = -11*k**3 - 2*k - 2. Let l be p(-1). Let i = l + -8. Put t, i, -6 in decreasing order. i, t, -6 Let u = 19.4 - 37.6. Let m = u - -18. Sort 3/8, -5, m in ascending order. -5, m, 3/8 Let c = -300 - -257. Let v be (65/9)/((-1)/6). Let u = c - v. Put 5, 0.5, u in decreasing order. 5, 0.5, u Suppose -33 = 273*p - 262*p. Sort p, 3, -5, 6 in increasing order. -5, p, 3, 6 Suppose -6*m + 3*m = 3*n - 12, 0 = -2*m. Put -2, 0, n, -3 in increasing order. -3, -2, 0, n Let a be (-4)/((45/(-20))/((-1)/4)). Sort a, 0, 5, -35 in decreasing order. 5, 0, a, -35 Suppose 4*k - 6*d = -d + 946, -k + 4*d = -242. Let i be 63/k*(-15)/(-7). Let n = 1/13 - i. Put -0.2, 1/5, n in decreasing order. 1/5, -0.2, n Let l(n) = -1. Let m(u) = -3*u - 30. Let z(v) = 3*l(v) - m(v). Let a be z(-10). Sort -19, a, 1. -19, a, 1 Let g = -37.1 - -37.5. Suppose 5*b + 20 = 0, 3 = 2*j + b + 1. Sort j, g, -11 in descending order. j, g, -11 Let o = -6 + 13. Let a = o - 6.8. Let j = 4.4 + -4. Sort j, 0.07, a. 0.07, a, j Let d be ((-68)/12 + 5)/((-2)/3). Put 17, 4, d, 2 in descending order. 17, 4, 2, d Let g be (108/(-30))/(3/(-15)). Let n be (-32)/48*g/4. Let m = 0.03 - 2.03. Sort m, n, -4 in decreasing order. m, n, -4 Let b = 31 - 24. Put -1/5, b, -8 in descending order. b, -1/5, -8 Let d be 210/(-18) + (-2)/(-3). Let t = -6 - d. Let u be 1/(-1) - (4 - 1). Sort t, 4, u in descending order. t, 4, u Let w(u) = u**3 + 9*u**2 - u - 12. Let f be w(-9). Let r = 20/11 - 38/33. Sort f, -1/22, r in decreasing order. r, -1/22, f Suppose 10 = 4*t - 6, o = 3*t - 14. Sort o, -5, 3, -3. -5, -3, o, 3 Let i(g) = 2*g**2 - 31*g + 13. Let f be i(15). Let a be ((-80)/(-15) + f)/((-4)/(-6)). Let y be (-4)/6 + (-10)/3. Put y, -3, a in decreasing order. a, -3, y Suppose 0 = -2*g - 6*y - 1 - 1, -2*y - 6 = 2*g. Sort -2, -3, g, 3 in decreasing order. 3, -2, -3, g Let m = -1.7513 + -0.0487. Sort -0.2, m, 4, -1/3 in increasing order. m, -1/3, -0.2, 4 Suppose 0 = -4*k - 3*g, 2*k + 2*g - 2 = -0. Put -9, k, 1 in descending order. 1, k, -9 Let g be (-1 - -10)*26/117. Sort 4, -1, g, 61. -1, g, 4, 61 Let a = -3 + 2.96. Let o = 0.36 - 0.16. Let u = 119.5 + -120. Put o, a, u in descending order. o, a, u Let z = 0.1 - 0.27. Let w = -0.07 - z. Let b = -3 - 2. Sort w, -0.2, b. b, -0.2, w Suppose 0 = -4*b + 4, s - b - 14 = -56. Let t = -44 - s. Put t, -0.5, -0.1, -9 in ascending order. -9, t, -0.5, -0.1 Suppose -2*m + 20 = -5*a, -m - 76 + 86 = 5*a. Sort -6, 5, -2/5, m in ascending order. -6, -2/5, 5, m Let c = -8.3 - -8. Let w = -20.24 - -20.24. Put w, 5, c in descending order. 5, w, c Let l be 3 + (-1 - 66/(-2)). Suppose -3*a - 5*b = -34, 5*a = 3*b - 7*b + l. Let t be -1*(1/3)/1. Put a, t, -1 in increasing order. -1, t, a Suppose -3*u - 14*u = 37 - 20. Let t be (-64)/(-6) - (-4)/(-6). Put 5, -3, u, t in decreasing order. t, 5, u, -3 Suppose 5*a - 4 - 16 = 0. Suppose 2*q = 12 - a. Let u = -199 - -195. Sort q, -3, u. u, -3, q Let i be (-2)/(-2)*(1 - 0). Suppose 4 = -z + i. Let a be (-3)/(-3) + (-2)/1. Sort 3, z, a. z, a, 3 Let q(l) = l**3 - l**2 + l - 103. Let i be q(0). Let y = i - -107. Sort -1, y, -2. -2, -1, y Let w(t) = t + 17*t**2 - 2*t - 13 + t**3 + 0*t + 1. Let m be w(-17). Put -2, -3, -5, m in ascending order. -5, -3, -2, m Let i = -37 + 187/5. Let g = -13293 - -13296. Sort g, i, -5 in ascending order. -5, i, g Let q be ((-16)/(-12))/((-4)/18). Let n be q/(-9) - (-8)/(-18). Let y = 85/2 - 423/10. Put y, n, -0.5 in ascending order. -0.5, y, n Let z(f) = 2*f**2 + 1. Let j be z(1). Suppose -u + 122 = 2*u + 4*w, -5*w = -5*u + 145. Suppose -d - u = -38. Put d, 0, j in descending order. d, j, 0 Let l(r) = r**3 - 5*r**2 - r + 15. Let o be l(4). Put 4, o, -1, -3 in increasing order. o, -3, -1, 4 Let i = 17 + -41. Let r = -23.5 - i. Let l = -3/28 + -19/84. Put l, r, 2/9 in ascending order. l, 2/9, r Let g = 45 + -53. Let r(y) = y**2 + 10*y + 7. Let b be r(g). Sort 0, 4, b in descending order. 4, 0, b Suppose 73*y = 27*y - 414. Put 4, y, -8 in descending order. 4, -8, y Let d be ((-16)/48)/((-1)/27). Let o be d/(-4) - (-12)/(-16). Let t be (3/6*-2)/o. Sort 0.2, 2/3, t in descending order. 2/3, t, 0.2 Let w(g) = -g**3 + 9*g**2 - 3*g + 12. Let q be w(5). Let d = q + -94. Sort -4, -7, d in increasing order. -7, -4, d Suppose -47 = -2*t + 5. Suppose 0 = 8*k + 2 - t. Sort -3, -2, k in decreasing order. k, -2, -3 Let l(w) = 4*w**2 + 4*w + 3. Let b be l(-3). Let g = b + -19. Let d be (-1 - -5)*(9 + 96/(-12)). Sort d, g, 0. 0, d, g Let u be 36/(-198) + (-156)/231. Sort -3/8, 0, u in decreasing order. 0, -3/8, u Let l(d) = d + 8. Let w be l(-5). Let k(a) = a**3 - a. Let y(r) = -3*r**3 + 4*r**2 - r - 2. Let f(u) = -2*k(u) - y(u). Let s be f(w). Sort -2, s, 1. -2, 1, s Let l = 2 + -1. Let g(z) = z**2 - 4*z - 2. Let w be g(3). Let c = 10 + w. Sort 2/7, l, c. 2/7, l, c Let u be ((-7)/(-6) + 21/(-42))*3. Put 4, u, 1, -7 in descending order. 4, u, 1, -7 Let f = 1755 + -1750. Sort -2.3, f, 0.4, 0.3 in descending order. f, 0.4, 0.3, -2.3 Let n be 7 + (-1 - 0/(-2)) + -1. Suppose -15 = 3*o + 3*d + 3, -2*d = n*o + 27. Sort 0, -2, 2, o in descending order. 2, 0, -2, o Let j be (-582)/(-27) - -2*4/18. Put 6, -1, j in decreasing order. j, 6, -1 Suppose 0*p = -2*p - 6. Suppose 0*o - 2*o + 1 = -3*u, 3*u - 5*o + 16 = 0. Suppose 3 = -u*c - 3. Put 5, c, p in descending order. 5, c, p Let q be (-1)/((21/12)/7). Let v = 5 - 4.9. Put 4, q, v in ascending order. q, v, 4 Suppose -17*a + 2 = -19*a. Suppose 3*i - 6 + 0 = 0. Suppose -i = -4*f - 10. Sort f, a, -4. -4, f, a Let n(x) = x**3 - 5*x**2 - 6*x + 5. Let q be n(6). Let d be 27/(-3)*(q + -4). Suppose 2*u = 4*f - 3*u - 3, 2*u = -5*f - 21. Sort f, d, 0 in ascending order. d, f, 0 Let u = -0.55 + -1.95. Let f = u + -0.5. Sort -0.1, f, 0.3, -4/5 in descending order. 0.3, -0.1, -4/5, f Let j = -0.8 - 0. Let a = -0.2 - j. Let s = 426 + -421. Put s, 1/6, a in decreasing order. s, a, 1/6 Let b(t) = t**3 - 6*t**2 + 5*t + 2. Let u be b(5). Let y(h) = -3*h**3 + 6*h**2 - 4*h + 9. Let o be y(2). Let f = 4 - 4.2. Sort f, o, u in increasing order. f, o, u Let t = 0.11 - -4.89. Let p = -353 - -353.4. Sort p, t, -9. -9, p, t Suppose 20 = 3*i - 27*a + 25*a, 0 = -4*i + 4*a + 32. Put 7/4, 2, i, -2/3 in increasing order. -2/3, 7/4, 2, i Suppose 5 - 189 = -8*i. Suppose i - 13 = u. Suppose 3*w - 5 = 2*w, 3*w - 11 = -4*h. Sort -2, u, h. -2, h, u Let g = -4.25 + 7.34. Let t = 2.39 - 2.3. Let l = t - g. Sort 0.2, l, -2 in ascending order. l, -2, 0.2 Let j be ((-2)/(-6) - 1)*-9. Suppose -30 = -0*g + j*g. Put g, 0, 2 in descending order. 2, 0, g Let s = -262/11 - -1801/77. Put s, 0.1, 2/5, -8 in descending order. 2/5, 0.1, s, -8 Let h(d) = d**3 - 3*d**2 - d. Let l be h(3). Let a = 0 + -
{ "pile_set_name": "DM Mathematics" }
he second derivative of 22*k**2 + 2*k - 22*k**2 - 3*k**b wrt k? -18*k Let c(g) be the third derivative of -41*g**7/210 - 17*g**4/12 - 37*g**2. Find the second derivative of c(k) wrt k. -492*k**2 Let s(k) be the third derivative of 1/12*k**4 + 0*k**6 + 0 + 0*k**3 - 3*k**2 + 0*k**5 + 1/210*k**7 + 0*k. Find the second derivative of s(l) wrt l. 12*l**2 Let x(d) be the second derivative of d**6/180 - d**5/60 + 2*d**3/3 + d. Let k(p) be the second derivative of x(p). Find the second derivative of k(y) wrt y. 4 Let w(b) be the third derivative of 0*b - 1/24*b**4 + 0 - b**2 + 1/2*b**3. Find the first derivative of w(u) wrt u. -1 Let n = -7 + 10. Suppose 0 = -5*q + 3*q - 8, 18 = 2*s - 2*q. Find the second derivative of 2*d + s*d**3 - 2*d**5 - 5*d**n wrt d. -40*d**3 Let k(c) be the first derivative of -3*c**4/4 - 7*c**3/3 - 3. Find the third derivative of k(g) wrt g. -18 Let o(p) = -p**2 - 9*p - 4. Let s be o(-8). Suppose -s*q + 18 - 6 = 0. Find the second derivative of n**3 + 3*n**3 - 3*n**q - 3*n wrt n. 6*n Let k(c) be the first derivative of -16*c**5/5 - 15*c**2/2 - 50. What is the second derivative of k(x) wrt x? -192*x**2 Let s(q) = q**4 + 2*q - 3. Let u = 3 - 0. Suppose 2 + 6 = -4*z. Let o(l) = l**4 + 2*l - 2. Let g(k) = u*o(k) + z*s(k). Find the second derivative of g(c) wrt c. 12*c**2 Let l be (-6)/(-18) - 7/3. Let b(a) = -a**2 + a + 1. Let j(f) = -2*f**3 + 2*f**2 - 2*f - 1. Let t(c) = l*b(c) - j(c). Differentiate t(w) with respect to w. 6*w**2 Let m(j) = -j**2 - 7*j + 1. Let v be m(-7). Differentiate v + h + 2 - 2 + 0 with respect to h. 1 Let p(k) = -2*k + 4. Let n be p(4). Let q = n - -8. What is the first derivative of 1 + f - q - 3*f wrt f? -2 Let k(u) be the second derivative of -3*u**5/20 - u**4/6 + 11*u. Find the third derivative of k(p) wrt p. -18 Let i(o) = o**5 + o**2 + o + 1. Let b(d) = 3*d**5 - 5*d**2 - 7*d - 5. Let n(f) = -b(f) - 5*i(f). What is the second derivative of n(v) wrt v? -160*v**3 Let r(i) be the second derivative of 2*i**4/3 + 5*i**3/3 - 9*i. Find the second derivative of r(w) wrt w. 16 Let a(i) be the third derivative of i**7/1008 + i**6/360 + i**5/30 + 4*i**2. Let x(d) be the third derivative of a(d). Differentiate x(y) with respect to y. 5 Find the second derivative of 29*f**3 + 102 - 102 + 11*f wrt f. 174*f Let s(x) = 3*x - 3. Let v be s(2). What is the second derivative of -10*l**5 + 3*l + 0*l**3 + 0*l**v + 3*l**5 wrt l? -140*l**3 Let u(p) be the third derivative of p**4/3 + 5*p**3/6 - 3*p**2. Let k(h) = -9*h - 6. Let t(o) = -4*k(o) - 5*u(o). Differentiate t(s) wrt s. -4 Let i be (2/(-6))/(4/(-36)). What is the second derivative of -2*x**i - x + 2*x - 4*x wrt x? -12*x Let l = -5 + 3. Let d be 3 - 1*(1 + l). What is the first derivative of -1 + d - 1 + 2*v**4 + 1 wrt v? 8*v**3 Let z(p) be the second derivative of 4*p**3/3 - 15*p**2/2 + 3*p. What is the first derivative of z(j) wrt j? 8 Let x(b) = 6*b**3 + 3*b**2 + b - 3. Let k = -3 - -7. Let a(g) = -7*g**3 - 4*g**2 - g + 4. Let l(y) = k*x(y) + 3*a(y). Find the second derivative of l(r) wrt r. 18*r Let q = 8 + -5. Find the second derivative of 4*o**2 - q*o - o**4 - 8*o**2 + 4*o**2 wrt o. -12*o**2 Let o(d) be the first derivative of -7*d**6/360 + d**4/12 + d**3/3 - 5. Let w(q) be the third derivative of o(q). What is the derivative of w(u) wrt u? -14*u Let r(p) be the first derivative of 4*p**5/5 + 9*p - 5. Differentiate r(b) with respect to b. 16*b**3 Let r(w) be the second derivative of 0*w**4 + 0 + 2*w + 0*w**5 - w**2 + 1/10*w**6 + 0*w**3. Find the first derivative of r(a) wrt a. 12*a**3 Let i(b) = -3*b + 9. Let h(r) = 2*r**2 - 6. Let y be h(0). Let c(s) = 6*s - 2*s - s - 8. Let f(o) = y*i(o) - 7*c(o). What is the first derivative of f(u) wrt u? -3 Suppose 0 = -5*m + 3*m + 4. Find the second derivative of -6 - m*v + 4 + 2 + 4*v**2 wrt v. 8 Let q(g) be the third derivative of -g**9/15120 + g**6/240 + g**5/15 + 3*g**2. Let l(n) be the third derivative of q(n). What is the derivative of l(m) wrt m? -12*m**2 Let y(r) be the first derivative of 5*r**4/24 - r**3 + r**2/2 - 6. Let p(s) be the second derivative of y(s). Find the first derivative of p(f) wrt f. 5 What is the third derivative of 60*q**3 - 23*q**2 - 117*q**3 + 57*q**3 - 24*q**6 wrt q? -2880*q**3 Let z(f) be the third derivative of f**5/20 + f**4/8 - f**3/3 - 7*f**2. Let i(o) be the first derivative of z(o). Find the first derivative of i(a) wrt a. 6 Let i(g) be the second derivative of g**3 + 0 + 0*g**4 - 5*g + 0*g**2 + 1/15*g**6 + 0*g**5. What is the second derivative of i(l) wrt l? 24*l**2 Let j(o) = o**2 - 4*o - 7. Let m(i) = -i**2 + 2*i + 4. Let b(u) = 4*j(u) + 7*m(u). Find the second derivative of b(p) wrt p. -6 Suppose -x - 3 = -4*x. Let w(l) = l + 1. Let y(m) = -5*m**3 - 4*m**2 + 6*m + 6. Let d(i) = x*y(i) - 6*w(i). Find the third derivative of d(p) wrt p. -30 What is the first derivative of -1 + 2 + 14*m**4 + 2 + 0 wrt m? 56*m**3 Let m = 8 - 5. Let u = 0 + m. Find the third derivative of u*w + 2*w**4 - 2*w**2 - 3*w wrt w. 48*w Let x(n) be the third derivative of -43*n**7/210 + 17*n**3/3 + 2*n**2 - 10. What is the first derivative of x(b) wrt b? -172*b**3 What is the second derivative of -170*c - 7*c**4 + 173*c + c**4 + 0*c**4 wrt c? -72*c**2 Suppose 17 = 5*x - 33. Let u be (4/(-5))/((-4)/x). Find the second derivative of 4*g - 6*g**u + 5*g**2 - 2*g wrt g. -2 Let c(y) be the first derivative of 4*y**7/105 + y**5/15 - 3*y**2 + 10. Let s(x) be the second derivative of c(x). What is the third derivative of s(v) wrt v? 192*v Let j(t) be the third derivative of -t**5/20 - 3*t**4/8 + 16*t**2. Find the second derivative of j(g) wrt g. -6 Let d(y) = -y**2. Let c(s) = 16*s**2 + 8*s. Let q(k) = c(k) + 8*d(k). What is the second derivative of q(l) wrt l? 16 Let d be 3*4/18*15. Let g = 14 - d. Differentiate 1 + 2*q**g - 3 - q**4 with respect to q. 4*q**3 Suppose 4*q = -w - 11, -q - w = 2 + 3. Let c = q + 5. Find the second derivative of j**3 + 3*j - 3*j**c - 4*j wrt j. -12*j Suppose h = 5*h - k - 19, -20 = -3*h - 5*k. Find the third derivative of -5*x**2 - 5 + h + 4*x**5 wrt x. 240*x**2 Let k(i) be the first derivative of 7*i**6/2 - 2*i**5/5 + 35*i**2/2 - 36. What is the second derivative of k(r) wrt r? 420*r**3 - 24*r**2 Let o(v) be the third derivative of -v**8/840 - v**4/4 - v**3/2 + 3*v**2. Let r(l) be the first derivative of o(l). Differentiate r(m) wrt m. -8*m**3 Let v(m) = -12*m**2 - 7. Let t(w) = w**2 + 1. Let h(k) = -5*t(k) - v(k). What is the derivative of h(j) wrt j? 14*j Suppose -3*o + 0*o + 21 = 0. Find the third derivative of 9*r**5 - r**5 + o*r**2 + 0*r**2 - r**2 wrt r. 480*r**2 Let r(v) be the second derivative of v**5/5 - 2*v**2 - 8*v. Find the first derivative of r(x) wrt x. 12*x**2 Suppose -4*v = -1 - 7. Let q = 0 + v. Find the first derivative of 0 - q + 0 - m**3 wrt m. -3*m**2 Let s be ((-1)/(-2))/(2/16). Suppose -s*q - q + 25 = 0. Differentiate -7*z + 4 + q*z + 0 with respect to z. -2 Let v = 3 - -1. Find the second derivative of v*i + 2*i**3 - 7*i + 0*i**3 - 5*i**3 wrt i. -18*i Let l = 23 + -16. Let n(k) = 16*k**2 - 7*k - 16. Let a(s) = -11*s**2 + 5*s + 11. Let q(w) = l*a(w) + 5*n(w). Differentiate q(i) wrt i. 6*i Let y(a) = a**3 + a. Let o(q) = -7*q**2 + q**3 - 4*q**3 - 3*q + q**4 - 3*q**4 + 0*q. Let m(f) = -o(f) - 3*y(f). What is the third derivative of m(s) wrt s? 48*s Let m(c) be the third derivative of -31*c**8/336 - 31*c**5/30 + 29*c**2. What is the third derivative of m(r) wrt r? -1860*r**2 Let b = 1 + 3. Suppose -3*a - 12 = -18. Find the second derivative of -q + q**a - 3*q**2 + 2*q**2 + b*q**3 wrt q. 24*q Let b(i) = -i**2 + 9*i + 2. Let m be b(9). Find the second derivative of -j**5 - m*j**5 + 0*j**5 + j**5 - 4*j wrt j. -40*j**3 Find the second derivative of -12*u - 11*u**2 + 33*u**2 + 6*u - 44*u wrt u. 44 Suppose 0*p = -3*p - q + 6, -4*q - 12 = 0. Let m = 1 + -1. What is the third derivative of p*f**3 + 3*f**2 - 1 + 1 + m wrt f? 18 Let d(j) = -5*j**3 + 3*j**2 + 2*j. Let m(s) = 11*s**3 - 7*s**2 - 3*s. Let q(o) = 7*d(o) + 3*m(o). What is the second derivative of q(y) wrt y? -12*y Let k = 8 + -1. Find the second derivative of 7*j**3 + k*j - 9*j - 3*j**3 wrt j. 24*j Let o(m) = -6 + m**3 - m**2 - 4*m**2 - 6*m + 13. Let h be o(6). What is the second derivative of 2*c**4 - h*c + 8*c +
{ "pile_set_name": "DM Mathematics" }
(base 7) in base 5? -214132 What is 3310322 (base 4) in base 8? 36472 10000100010 (base 2) to base 9 1405 What is 211222 (base 3) in base 4? 21230 Convert -2376 (base 14) to base 12. -36b0 What is -ebc (base 15) in base 13? -168c What is 7ea (base 16) in base 8? 3752 Convert 1011001000110 (base 2) to base 3. 21211012 Convert -4de (base 15) to base 9. -1462 Convert -331 (base 10) to base 7. -652 20587 (base 9) to base 10 13606 210200111 (base 3) to base 13 7270 What is -131465 (base 7) in base 10? -24596 -1102221 (base 3) to base 11 -876 -10010000000 (base 2) to base 14 -5c4 -5437 (base 9) to base 13 -1a8c Convert 55 (base 14) to base 6. 203 Convert 10374 (base 9) to base 14. 270b Convert -511406 (base 7) to base 4. -111033011 206745 (base 8) to base 4 100313211 What is 2306a (base 12) in base 15? dcad Convert 73a3 (base 13) to base 11. 11043 What is -5b6 (base 12) in base 6? -3550 What is -143103 (base 6) in base 16? -354f Convert 12 (base 14) to base 8. 20 7c8a (base 13) to base 4 10101301 -4d93 (base 14) to base 7 -54543 -1435 (base 6) to base 8 -577 What is -26a (base 13) in base 9? -523 3364 (base 8) to base 5 24110 What is -2101012 (base 3) in base 4? -123011 What is 10111010100100 (base 2) in base 3? 121101020 What is -2161 (base 7) in base 6? -3334 -18ba8 (base 12) to base 16 -8db0 Convert -a9a (base 15) to base 12. -1477 Convert 442151 (base 7) to base 13. 29426 Convert -215400 (base 6) to base 12. -a560 1102202 (base 3) to base 14 54a Convert -2a3 (base 14) to base 7. -1363 Convert -390 (base 14) to base 3. -222110 What is c21 (base 14) in base 16? 94d What is 10222201 (base 3) in base 7? 11323 What is -131230 (base 4) in base 11? -1478 230303 (base 4) to base 16 b33 9250 (base 11) to base 12 7130 -a9a (base 11) to base 4 -110213 -63a (base 11) to base 16 -301 What is -75851 (base 9) in base 7? -266356 What is 3e7 (base 16) in base 4? 33213 What is -32 (base 13) in base 8? -51 Convert 604 (base 8) to base 5. 3023 What is -8415 (base 10) in base 15? -2760 What is -11021 (base 4) in base 12? -235 Convert -20112 (base 4) to base 10. -534 What is 33055 (base 8) in base 4? 3120231 What is -259b (base 12) in base 16? -10c7 210533 (base 6) to base 15 50b9 Convert 7418 (base 9) to base 2. 1010101000100 What is 1049 (base 14) in base 6? 21001 Convert -191 (base 15) to base 6. -1401 45 (base 6) to base 13 23 -1345 (base 9) to base 10 -1013 -1032443 (base 5) to base 13 -819b 135235 (base 6) to base 13 5ac8 -2474 (base 9) to base 12 -10a1 -504 (base 9) to base 16 -199 What is -141 (base 15) in base 4? -10132 54000 (base 6) to base 2 1110010110000 What is 6361 (base 7) in base 16? 8c8 What is 322 (base 8) in base 9? 253 20575 (base 9) to base 15 4065 What is -10100211 (base 3) in base 15? -ad7 What is -11111011100 (base 2) in base 5? -31022 What is 8725 (base 13) in base 3? 221202221 -3404 (base 5) to base 11 -3a6 What is -3c0 (base 14) in base 11? -628 Convert 10200 (base 6) to base 16. 558 3172 (base 9) to base 6 14445 Convert 8834 (base 11) to base 8. 26605 Convert 27688 (base 9) to base 4. 10211213 Convert -32004 (base 5) to base 8. -4121 Convert -2259 (base 12) to base 13. -1974 What is -b1 (base 15) in base 12? -11a What is -1df (base 16) in base 13? -2ab -32457 (base 9) to base 3 -1002111221 What is 135b (base 15) in base 6? 31052 Convert -10122220 (base 3) to base 8. -5156 132 (base 6) to base 2 111000 What is 178 (base 13) in base 8? 414 What is 2663 (base 8) in base 7? 4153 -3400 (base 6) to base 16 -318 Convert -3104 (base 7) to base 16. -43a What is 1962 (base 13) in base 12? 2246 -424 (base 14) to base 16 -330 What is -1002021002 (base 3) in base 12? -10418 Convert 3783a (base 11) to base 3. 2202102022 Convert 3030320 (base 4) to base 3. 122222122 -1011010001110000 (base 2) to base 6 -553504 What is -16641 (base 9) in base 13? -52a5 -20010 (base 3) to base 5 -1130 What is 24451 (base 11) in base 4? 20211022 -432 (base 10) to base 13 -273 Convert -200012212 (base 3) to base 16. -33e0 32d (base 16) to base 8 1455 What is 126 (base 12) in base 14? c6 What is -745 (base 9) in base 6? -2452 -816 (base 16) to base 4 -200112 Convert -21101 (base 4) to base 7. -1505 709 (base 11) to base 12 5b4 What is 1bb (base 14) in base 6? 1401 What is -35a6 (base 14) in base 5? -244413 What is 1301 (base 10) in base 7? 3536 What is -10224 (base 7) in base 10? -2517 50001 (base 6) to base 4 1211101 Convert -1188 (base 9) to base 10. -890 -11110001001011 (base 2) to base 8 -36113 68a (base 14) to base 11 a80 What is 683 (base 16) in base 15? 762 What is -109a (base 11) in base 8? -2640 What is 130200 (base 4) in base 16? 720 Convert -a610 (base 12) to base 15. -55a6 What is 250 (base 11) in base 7? 603 Convert 753 (base 16) to base 15. 850 Convert -445 (base 13) to base 5. -10413 What is -663 (base 9) in base 12? -393 1001101100110 (base 2) to base 4 1031212 Convert -212 (base 9) to base 12. -125 Convert -1135 (base 6) to base 10. -275 -110011011 (base 2) to base 16 -19b 499 (base 11) to base 4 21100 Convert -11101110110001 (base 2) to base 3. -202221222 Convert -11ba2 (base 14) to base 6. -533110 Convert 2106 (base 9) to base 5. 22140 -21012102 (base 3) to base 8 -12201 Convert 4446 (base 10) to base 16. 115e What is 135c3 (base 13) in base 3? 1211121010 -aa1 (base 14) to base 4 -200311 What is 1101111111100 (base 2) in base 5? 212124 What is 482a (base 13) in base 11? 7711 -3079 (base 13) to base 9 -10154 Convert -3030131 (base 4) to base 5. -404320 What is -11532 (base 6) in base 4? -122300 What is 1ad (base 14) in base 16? 15d Convert 1001101011 (base 2) to base 9. 757 101102121 (base 3) to base 10 7603 What is 713 (base 8) in base 11? 388 What is -438 (base 16) in base 4? -100320 What is -20123 (base 5) in base 14? -680 2212122 (base 4) to base 2 10100110011010 Convert 70066 (base 9) to base 2. 1011001110100011 Convert 6c3 (base 14) to base 7. 3633 What is 1100110010110111 (base 2) in base 9? 78800 Convert -25c6 (base 13) to base 8. -12431 -200011 (base 3) to base 10 -490 Convert 1101101111 (base 2) to base 15. 3d9 1110111011101 (base 2) to base 3 101111011 What is -a265 (base 11) in base 6? -143023 139 (base 10) to base 14 9d What is -36314 (base 9) in base 13? -b0b3 Convert -11011011 (base 3) to base 10. -3028 Convert 101101001 (base 2) to base 15. 191 What is 101 (base 3) in base 2? 1010 651 (base 7) to base 16 14a What is 1347 (base 8) in base 5? 10433 -220b (base 13) to base 16 -1287 Convert 2015 (base 7) to base 2. 1010111010 Convert 10333 (base 4) to base 12. 227 What is 221220000 (base 3) in base 13? 878a Convert -4112 (base 6) to base 14. -48c What is -11003 (base 12) in base 4? -11133003 Convert ed (base 15) to base 16. df What is 27 (base 8) in base 13? 1a -1011120020 (base 3) to base 12 -11396 What is -2122 (base 3) in base 10? -71 What is -4101 (base 6) in base 9? -1211 Convert -c8d3 (base 14) to base 12. -180a1 -10 (base 11) to base 7 -14 Convert -159 (base 16) to base 11. -294 Convert -17d (base 15) to base 11. -292 What is -71672 (base 8) in base 16? -73ba Convert 2b (base 12) to base 6. 55 What is -3383 (base 11) in base 7? -15652 12769 (base 10) to base 4 3013201 What is -32c6 (base 14) in base 4? -2021132 -202011112 (base 3) to base 10 -14702 What is -144 (base 16) in base 9? -400 4113 (base 13) to base 10 8973 Convert 110100001011111 (base 2) to base 7. 140620 -1313 (base 7) to base 8 -764 Convert 130013 (base 4) to base 10. 1799 -51564 (base 10) to base 7 -303222 Convert -4b33 (base 15) to base 2. -11111010010111 11210 (base 3) to base 10 129 7b5 (base 15) to base 11 1347 What is -251 (base 9) in base 11? -17a Convert -14003 (base 6) to base 16. -873 361 (base 12) to base 7 1321 218 (base 15) to base 3 122112 -1167 (base 13) to base 15 -ad6 What is -230402 (base 5) in base 11? -61aa -438 (base 10) to base 7 -1164 Convert -1074 (base 8) to base 15. -282 Convert 2446 (base 9) to base 12. 1080 -739 (base 12) to base 8 -2035 What is 1176 (base 12) in base 3? 2200200 Convert -120022 (base 4) to base 10. -1546 Convert 301e (base 15) to base 6. 115002 Convert 273 (base 8) to base 12. 137 Convert -52515 (base 6) to base 10. -7103 -1a4 (base 16) to base 12 -2b0 What is -201001 (base 5) in base 10? -6376 What is 122110211 (base 3) in b
{ "pile_set_name": "DM Mathematics" }
3, -2362, -1361, -238, 1049, 2542? 7*d**3 - 2*d**2 + 878*d - 4166 What is the f'th term of -150711801, -301423606, -452135411, -602847216, -753559021, -904270826? -150711805*f + 4 What is the d'th term of 133598559, 133598555, 133598547, 133598535, 133598519, 133598499? -2*d**2 + 2*d + 133598559 What is the n'th term of 2992394, 5984740, 8977086? 2992346*n + 48 What is the w'th term of -2159, -1909, -1215, 145, 2393, 5751, 10441? 37*w**3 - 9*w - 2187 What is the t'th term of 111367128, 111367129, 111367130, 111367131, 111367132, 111367133? t + 111367127 What is the r'th term of -2328, -13980, -44350, -102798, -198684? -1560*r**3 + r**2 - 735*r - 34 What is the o'th term of -203664, -212226, -226504, -246504, -272232? -o**3 - 2852*o**2 + o - 200812 What is the r'th term of -37221, -297884, -1005429, -2383302, -4654949? -37241*r**3 + 5*r**2 + 9*r + 6 What is the y'th term of -1994, -1731, -1484, -1253, -1038, -839? -8*y**2 + 287*y - 2273 What is the h'th term of 1423, 7515, 17669, 31885? 2031*h**2 - h - 607 What is the r'th term of 23688, 94605, 212836, 378387, 591264? r**3 + 23651*r**2 - 43*r + 79 What is the l'th term of 67521653, 67521659, 67521665, 67521671, 67521677? 6*l + 67521647 What is the x'th term of 17532, 140266, 473406, 1122156, 2191720, 3787302, 6014106? 17534*x**3 - x**2 - x What is the o'th term of 589435, 589431, 589417, 589387, 589335, 589255, 589141, 588987? -o**3 + o**2 + 589435 What is the i'th term of 17, -471, -1487, -3049, -5175, -7883? -3*i**3 - 246*i**2 + 271*i - 5 What is the c'th term of -241540, -483063, -724590, -966121, -1207656, -1449195, -1690738? -2*c**2 - 241517*c - 21 What is the c'th term of 1952, 7783, 17466, 30971, 48268? -5*c**3 + 1956*c**2 - 2*c + 3 What is the a'th term of 1329, 5613, 12789, 22887, 35937, 51969, 71013, 93099? 5*a**3 + 1416*a**2 + a - 93 What is the o'th term of -29437934, -58875875, -88313816? -29437941*o + 7 What is the z'th term of 745, 1840, 2943, 4060, 5197, 6360, 7555? z**3 - 2*z**2 + 1094*z - 348 What is the y'th term of 267453, 267312, 267185, 267072? 7*y**2 - 162*y + 267608 What is the z'th term of 584085, 583938, 583793, 583650, 583509, 583370, 583233? z**2 - 150*z + 584234 What is the r'th term of 141802, 283375, 424948, 566521? 141573*r + 229 What is the m'th term of -70592534, -70592533, -70592532, -70592531, -70592530? m - 70592535 What is the v'th term of -1880, -1981, -2130, -2345, -2644? -3*v**3 - 6*v**2 - 62*v - 1809 What is the z'th term of 209976, 209939, 209888, 209817, 209720? -z**3 - z**2 - 27*z + 210005 What is the b'th term of -921448, -921466, -921484, -921502, -921520? -18*b - 921430 What is the s'th term of -604840, -2419423, -5443742, -9677797, -15121588, -21775115? -604868*s**2 + 21*s + 7 What is the u'th term of -710944, -1422457, -2133968, -2845477? u**2 - 711516*u + 571 What is the a'th term of 46539592, 46539577, 46539564, 46539553, 46539544, 46539537? a**2 - 18*a + 46539609 What is the u'th term of -4627, -4257, -3251, -1291, 1941, 6763, 13493, 22449? 53*u**3 - u - 4679 What is the t'th term of -156669, -626636, -1409923, -2506536, -3916481? -t**3 - 156654*t**2 + 2*t - 16 What is the f'th term of 160210, 160215, 160220, 160225, 160230, 160235? 5*f + 160205 What is the x'th term of -1853, -3606, -5265, -6830? 47*x**2 - 1894*x - 6 What is the v'th term of -115684, -115630, -115538, -115408, -115240? 19*v**2 - 3*v - 115700 What is the y'th term of 24118, 24062, 23956, 23800, 23594, 23338, 23032? -25*y**2 + 19*y + 24124 What is the a'th term of 6868, 6486, 6100, 5710? -2*a**2 - 376*a + 7246 What is the l'th term of -594197, -1188400, -1782605, -2376812, -2971021? -l**2 - 594200*l + 4 What is the k'th term of -141503, -141481, -141463, -141449, -141439? -2*k**2 + 28*k - 141529 What is the c'th term of -13976741, -13976744, -13976749, -13976756, -13976765? -c**2 - 13976740 What is the l'th term of -1409770, -1409763, -1409754, -1409743, -1409730, -1409715, -1409698? l**2 + 4*l - 1409775 What is the i'th term of 12178, 12090, 12008, 11932, 11862, 11798? 3*i**2 - 97*i + 12272 What is the j'th term of 238, 744, 1532, 2590, 3906, 5468, 7264? -2*j**3 + 153*j**2 + 61*j + 26 What is the d'th term of -161760, -161449, -161126, -160785, -160420? d**3 + 304*d - 162065 What is the z'th term of -44534, -79237, -113940? -34703*z - 9831 What is the k'th term of 5579, 11121, 16619, 22073, 27483, 32849? -22*k**2 + 5608*k - 7 What is the a'th term of 116713330, 116713328, 116713326, 116713324, 116713322, 116713320? -2*a + 116713332 What is the u'th term of -303440, -1213727, -2730886, -4854929, -7585868, -10923715? -2*u**3 - 303424*u**2 - u - 13 What is the p'th term of 42341, 81671, 121001, 160331, 199661? 39330*p + 3011 What is the z'th term of 40197, 81902, 123607, 165312, 207017? 41705*z - 1508 What is the c'th term of -100004008, -200008017, -300012026, -400016035, -500020044, -600024053? -100004009*c + 1 What is the g'th term of -14536, -29317, -44098? -14781*g + 245 What is the b'th term of 283476612, 283476613, 283476614, 283476615, 283476616? b + 283476611 What is the t'th term of 19230976, 38461953, 57692930, 76923907, 96154884, 115385861? 19230977*t - 1 What is the o'th term of -688, -964, -1430, -2098, -2980, -4088? -2*o**3 - 83*o**2 - 13*o - 590 What is the d'th term of 5239, 7610, 7103, 3718, -2545, -11686, -23705? -1439*d**2 + 6688*d - 10 What is the a'th term of -1044654, -2089451, -3134248, -4179045, -5223842? -1044797*a + 143 What is the o'th term of 1101806, 2203381, 3304956, 4406531, 5508106, 6609681? 1101575*o + 231 What is the a'th term of 12207, 11553, 10899? -654*a + 12861 What is the x'th term of -184081, -368178, -552287, -736408, -920541, -1104686, -1288843? -6*x**2 - 184079*x + 4 What is the v'th term of 6027995, 6027996, 6027997, 6027998, 6027999? v + 6027994 What is the l'th term of 6380, 5943, 5222, 4223, 2952, 1415? l**3 - 148*l**2 + 6527 What is the k'th term of 46566, 372477, 1257096, 2979777, 5819874, 10056741, 15969732? 46559*k**3 - 2*k + 9 What is the k'th term of 1239891, 1239907, 1239923, 1239939, 1239955, 1239971? 16*k + 1239875 What is the k'th term of 2446538, 2446510, 2446458, 2446376, 2446258, 2446098, 2445890? -k**3 - 6*k**2 - 3*k + 2446548 What is the j'th term of -15281, -30749, -46219, -61685, -77141? j**3 - 7*j**2 - 15454*j + 179 What is the q'th term of -66788, -68678, -71828, -76238? -630*q**2 - 66158 What is the d'th term of 30897, 31380, 31863? 483*d + 30414 What is the g'th term of -74590, -298391, -671418, -1193671, -1865150, -2685855, -3655786? -74613*g**2 + 38*g - 15 What is the p'th term of -147963, -147805, -147657, -147519, -147391, -147273? -5*p**2 + 173*p - 148131 What is the t'th term of -4109, -10699, -19777, -31337, -45373? t**3 - 1250*t**2 - 2847*t - 13 What is the s'th term of -1551894, -3103788, -4655682, -6207576, -7759470, -9311364? -1551894*s What is the c'th term of -21036525, -84146092, -189328695, -336584328, -525912985, -757314660? c**3 - 21036524*c**2 - 2*c What is the k'th term of 23162, 47678, 72194? 24516*k - 1354 What is the x'th term of -12373, -13125, -13879, -14635, -15393, -16153? -x**2 - 749*x - 11623 What is the k'th term of -2129765, -4259539, -6389313, -8519087? -2129774*k + 9 What is the o'th term of 3272, 3297, 3366, 3503, 3732, 4077, 4562? 4*o**3 - 2*o**2 + 3*o + 3267 What is the n'th term of -27244, -108923, -245070, -435697, -680816? -2*n**3 - 27222*n**2 + n - 21 What is the o'th term of -20275, -40518, -60733, -80920, -101079, -121210? 14*o**2 - 20285*o - 4 What is the z'th term of 1042, 1860, 2656, 3424, 4158, 4852? -z**3 - 5*z**2 + 840*z + 208 What is the b'th term of 15, -1196, -3235, -6120, -9869, -14500? -3*b**3 - 396*b**2 - 2*b + 416 What is the i'th term of -155, -574, -1253, -2186, -3367, -4790, -6449, -8338? i**3 - 136*i**2 - 18*i - 2 What is the y'th term of -4850914, -9701771, -14552606, -19403407, -24254162? 2*y**3 - y**2 - 4850868*y - 47 What is the v'th term of 769215, 1538849, 2308483, 3078117, 3847751, 4617385? 769634*v - 419 What is the f'th term of 21, 265, 609, 1053, 1597, 2241? 50*f**2 + 94*f - 123 What is the y'th term of -22505, -23454, -24395, -25328, -26253, -27170? 4*y**2 - 961*y - 21548 What is the d'th term of 73049, 149252, 225455, 301658, 377861, 454
{ "pile_set_name": "DM Mathematics" }
3, 59 List the prime factors of 269. 269 List the prime factors of 45518. 2, 11, 2069 What are the prime factors of 136697? 11, 17, 43 What are the prime factors of 8987? 11, 19, 43 List the prime factors of 2234. 2, 1117 What are the prime factors of 1710? 2, 3, 5, 19 What are the prime factors of 151544? 2, 19, 997 List the prime factors of 16975. 5, 7, 97 What are the prime factors of 9773? 29, 337 What are the prime factors of 40721? 43, 947 What are the prime factors of 6981? 3, 13, 179 List the prime factors of 725. 5, 29 List the prime factors of 622. 2, 311 What are the prime factors of 38364? 2, 3, 23, 139 List the prime factors of 70590. 2, 3, 5, 13, 181 What are the prime factors of 123? 3, 41 What are the prime factors of 1496? 2, 11, 17 What are the prime factors of 5988? 2, 3, 499 What are the prime factors of 35040? 2, 3, 5, 73 What are the prime factors of 98971? 19, 5209 List the prime factors of 11144. 2, 7, 199 List the prime factors of 65488. 2, 4093 List the prime factors of 126. 2, 3, 7 What are the prime factors of 44740? 2, 5, 2237 What are the prime factors of 91628? 2, 22907 What are the prime factors of 3122? 2, 7, 223 List the prime factors of 1418. 2, 709 What are the prime factors of 542? 2, 271 List the prime factors of 15239. 7, 311 List the prime factors of 30534. 2, 3, 7, 727 What are the prime factors of 5048? 2, 631 What are the prime factors of 181382? 2, 89, 1019 List the prime factors of 5058. 2, 3, 281 What are the prime factors of 77809? 17, 23, 199 What are the prime factors of 2065? 5, 7, 59 List the prime factors of 346. 2, 173 What are the prime factors of 2124? 2, 3, 59 List the prime factors of 4508. 2, 7, 23 List the prime factors of 14674. 2, 11, 23, 29 List the prime factors of 936. 2, 3, 13 List the prime factors of 6225. 3, 5, 83 List the prime factors of 821. 821 List the prime factors of 379. 379 List the prime factors of 4896. 2, 3, 17 What are the prime factors of 204357? 3, 17, 4007 What are the prime factors of 3542? 2, 7, 11, 23 List the prime factors of 539. 7, 11 What are the prime factors of 147613? 147613 List the prime factors of 2619. 3, 97 What are the prime factors of 3952? 2, 13, 19 What are the prime factors of 9333? 3, 17, 61 What are the prime factors of 187? 11, 17 List the prime factors of 2151. 3, 239 List the prime factors of 754. 2, 13, 29 What are the prime factors of 53764? 2, 13441 List the prime factors of 5718. 2, 3, 953 List the prime factors of 4434. 2, 3, 739 What are the prime factors of 273? 3, 7, 13 What are the prime factors of 21026? 2, 10513 List the prime factors of 12789. 3, 7, 29 What are the prime factors of 385? 5, 7, 11 What are the prime factors of 119595? 3, 5, 7, 17, 67 List the prime factors of 3145. 5, 17, 37 List the prime factors of 8115. 3, 5, 541 What are the prime factors of 10764? 2, 3, 13, 23 List the prime factors of 2817. 3, 313 What are the prime factors of 842? 2, 421 What are the prime factors of 21602? 2, 7, 1543 What are the prime factors of 102074? 2, 7, 23, 317 List the prime factors of 11763. 3, 1307 What are the prime factors of 353? 353 What are the prime factors of 46831? 46831 List the prime factors of 1518. 2, 3, 11, 23 What are the prime factors of 7315? 5, 7, 11, 19 List the prime factors of 5509. 7, 787 List the prime factors of 13167. 3, 7, 11, 19 List the prime factors of 9788. 2, 2447 List the prime factors of 23281. 31, 751 What are the prime factors of 5043? 3, 41 What are the prime factors of 447? 3, 149 What are the prime factors of 14372? 2, 3593 List the prime factors of 299. 13, 23 List the prime factors of 13833. 3, 29, 53 List the prime factors of 238. 2, 7, 17 What are the prime factors of 30511? 13, 2347 What are the prime factors of 59347? 17, 3491 What are the prime factors of 7537? 7537 List the prime factors of 95341. 67, 1423 List the prime factors of 1649. 17, 97 What are the prime factors of 5132? 2, 1283 List the prime factors of 356. 2, 89 List the prime factors of 824. 2, 103 List the prime factors of 399. 3, 7, 19 What are the prime factors of 4381? 13, 337 List the prime factors of 3222. 2, 3, 179 List the prime factors of 7188. 2, 3, 599 List the prime factors of 1668. 2, 3, 139 List the prime factors of 3387. 3, 1129 What are the prime factors of 4645? 5, 929 What are the prime factors of 2068? 2, 11, 47 What are the prime factors of 331? 331 What are the prime factors of 11099? 11, 1009 What are the prime factors of 4992? 2, 3, 13 What are the prime factors of 74613? 3, 7, 11, 17, 19 List the prime factors of 4280. 2, 5, 107 What are the prime factors of 20768? 2, 11, 59 List the prime factors of 1968. 2, 3, 41 What are the prime factors of 2153? 2153 What are the prime factors of 1896? 2, 3, 79 What are the prime factors of 35722? 2, 53, 337 List the prime factors of 2021. 43, 47 List the prime factors of 6010. 2, 5, 601 List the prime factors of 55702. 2, 27851 What are the prime factors of 38033? 73, 521 What are the prime factors of 1504? 2, 47 List the prime factors of 90158. 2, 61, 739 List the prime factors of 469. 7, 67 List the prime factors of 5842. 2, 23, 127 What are the prime factors of 2972? 2, 743 What are the prime factors of 25719? 3, 8573 What are the prime factors of 1245? 3, 5, 83 List the prime factors of 125392. 2, 17, 461 What are the prime factors of 529? 23 List the prime factors of 520. 2, 5, 13 What are the prime factors of 5364? 2, 3, 149 What are the prime factors of 144? 2, 3 What are the prime factors of 18101? 23, 787 List the prime factors of 20788. 2, 5197 List the prime factors of 71306. 2, 101, 353 List the prime factors of 26941. 29, 929 What are the prime factors of 1488? 2, 3, 31 What are the prime factors of 8278? 2, 4139 List the prime factors of 908. 2, 227 List the prime factors of 10698. 2, 3, 1783 What are the prime factors of 17578? 2, 11, 17, 47 List the prime factors of 100057. 100057 What are the prime factors of 24344? 2, 17, 179 List the prime factors of 3414. 2, 3, 569 List the prime factors of 65138. 2, 32569 List the prime factors of 291. 3, 97 List the prime factors of 1209. 3, 13, 31 List the prime factors of 24136. 2, 7, 431 What are the prime factors of 2926? 2, 7, 11, 19 List the prime factors of 6577. 6577 List the prime factors of 95. 5, 19 List the prime factors of 374. 2, 11, 17 What are the prime factors of 676? 2, 13 List the prime factors of 2440. 2, 5, 61 List the prime factors of 27073. 27073 What are the prime factors of 240? 2, 3, 5 What are the prime factors of 9591? 3, 23, 139 List the prime factors of 17384. 2, 41, 53 List the prime factors of 1364. 2, 11, 31 What are the prime factors of 1131? 3, 13, 29 What are the prime factors of 2698? 2, 19, 71 List the prime factors of 994. 2, 7, 71 What are the prime factors of 29360? 2, 5, 367 What are the prime factors of 1144? 2, 11, 13 List the prime factors of 29387. 29387 What are the prime factors of 15190? 2, 5, 7, 31 List the prime factors of 45299. 97, 467 What are the prime factors of 575? 5, 23 What are the prime factors of 1538? 2, 769 List the prime factors of 13315. 5, 2663 List the prime factors of 2320. 2, 5, 29 List the prime factors of 2221. 2221 What are the prime factors of 5561? 67, 83 What are the prime factors of 130301? 229, 569 What are the prime factors of 3103? 29, 107 List the prime factors of 1285. 5, 257 List the prime factors of 2222. 2, 11, 101 What are the prime factors of 1251? 3, 139 What are the prime factors of 6679? 6679 What are the prime factors of 7152? 2, 3, 149 List the prime factors of 1774. 2, 887 List the prime factors of 53366. 2, 26683 List the prime factors of 2124. 2, 3, 59 List the prime factors of 1154. 2, 577 List the prime factors of 36488. 2, 4561 List the prime factors of 948. 2, 3, 79 List the prime factors of 8747. 8747 List the prime factors of 3048. 2, 3, 127 What are the prime factors of 58869? 3, 31, 211 What are the prime factors of 23999? 103, 233 What are the prime factors of 1857? 3, 619 What are the prime factors of 26028? 2, 3, 241 List the prime factors of 112396. 2, 28099 What are the prime factors of 17570? 2, 5, 7, 251 List the prime factors of 1271. 31, 41 List the prime factors of 4062. 2, 3, 677 What
{ "pile_set_name": "DM Mathematics" }
r = 249 + -101. Let k = -145 + r. Let l(i) = 2*i. Calculate k*l(f) + 2*g(f). 2*f + 2 Let k(c) = -2*c**3 - c - 8. Let d(s) = 8. Let h(o) = 11. Let y(z) = -4*d(z) + 3*h(z). What is -k(f) - 6*y(f)? 2*f**3 + f + 2 Let j(w) = w**2 - 2*w. Let x(v) = -332*v. Give -498*j(a) + 3*x(a). -498*a**2 Let r(t) = 12*t**3 - 8*t**2 - 5*t - 1. Let s(h) = -7*h**3 + 4*h**2 + 3*h + 1. Determine 3*r(c) + 5*s(c). c**3 - 4*c**2 + 2 Let y(d) = d + 5. Let x(q) = 4. Let p = -15 + 21. Suppose -p*g - 2*h - 8 = -5*g, -3*h - 15 = 3*g. Give g*y(m) + 3*x(m). -2*m + 2 Suppose 0 = 3*n - 9, -8 = -2*z - 4*n + 8. Let x(o) = -6*o**3 + 10*o**2. Let l(h) = -h**3 + h**2. Determine z*x(m) - 20*l(m). 8*m**3 Let h(p) = 10*p**3 - 5*p**2 + 5*p - 28. Let y(j) = -5*j**3 + 3*j**2 - 3*j + 14. What is 3*h(i) + 5*y(i)? 5*i**3 - 14 Let w(k) = 27*k - 12. Let z be w(15). Let h(j) = -393 + j**2 + z. Let s(r) = 3*r**2. What is 6*h(p) - s(p)? 3*p**2 Suppose 7 - 37 = 10*i. Let w(m) = 3*m - 2. Let f(g) be the third derivative of -g**4/6 + g**3/2 + 15*g**2. Calculate i*w(u) - 2*f(u). -u Let m(n) be the third derivative of -7*n**4/24 + 69*n**2 + 2. Let i(u) = -u. Calculate -2*i(y) - m(y). 9*y Let k(u) be the second derivative of -u**4/12 + u**3/3 + u**2 + 10*u. Let q(f) = 2*f**2 - 3*f - 2. Give 3*k(s) + 2*q(s). s**2 + 2 Let q(s) = -162*s**2 + 36. Let w = 842 + -806. Let a(r) = -23*r**2 + 5. Give w*a(f) - 5*q(f). -18*f**2 Let j(a) = 33*a. Let l(f) = 37*f - 2. Calculate 5*j(m) - 4*l(m). 17*m + 8 Let v(s) = -68*s + 3. Let k(n) = -67*n + 4. Calculate 3*k(m) - 4*v(m). 71*m Let o(j) = -11*j + 2. Let v(q) = 11 - 7 - 8*q - 2 - 4*q. Give 5*o(d) - 4*v(d). -7*d + 2 Let r(p) = 11*p**3 - 8*p**2 - 8. Let v(w) be the third derivative of -w**6/120 + w**5/60 + w**3/6 - 342*w**2. Give -3*r(m) - 24*v(m). -9*m**3 Let c(m) = -17*m + 4. Let l(o) = 2*o**2 + 32*o + 4. Let g be l(-16). Suppose -4*v + g*r - 12 = -r, 12 = 4*v + r. Let w(n) = 4*n - 1. Calculate v*c(y) + 9*w(y). 2*y - 1 Let p(l) be the second derivative of l**5/20 + 2*l**2 - 54*l. Let t(a) = a**3 + 5. Let n be 3*15/18*2. Calculate n*p(j) - 4*t(j). j**3 Let f(t) = -439446*t + 9*t**2 - 3*t**2 + 439439*t + 2. Let s be (-5)/(-2)*6/3. Let h(m) = -5*m**2 + 6*m - 2. Give s*h(w) + 4*f(w). -w**2 + 2*w - 2 Let u(v) = v**2 + 496*v + 6. Let p(a) = -2*a**2 - 991*a - 14. Determine -3*p(k) - 7*u(k). -k**2 - 499*k Let s(o) = -2*o**3 - 3*o**2 - 41*o. Let m(v) = 4*v**3 + 5*v**2 + 83*v + 1. Determine 3*m(y) + 5*s(y). 2*y**3 + 44*y + 3 Let a(q) be the third derivative of q**6/8 - q**4/6 + 560*q**2. Let d(j) = -390*j**3 + 105*j. Give 105*a(s) + 4*d(s). 15*s**3 Let s(c) = 0*c**2 + 2*c - 5*c**2 + 5 - 6*c. Let a(y) = -2*y + 11 - 7*y - 11*y**2 + 0*y. Let g be (13 + 0)*8/8. Give g*s(v) - 6*a(v). v**2 + 2*v - 1 Suppose 0 = -r - 8 - 19. Let u(z) = 5*z**2 - 2*z - 2. Let c(y) = -66*y**2 + 27*y + 27. Calculate r*u(m) - 2*c(m). -3*m**2 Let r(g) = 3*g**2 + 4*g - 106. Let i(f) = 4*f**2 + 5*f - 105. Calculate 4*i(c) - 5*r(c). c**2 + 110 Let l(z) = z**3 + z**2 - z. Let u(d) = -113*d**3 - 2*d**2 + 4*d - 2. What is -4*l(b) - u(b)? 109*b**3 - 2*b**2 + 2 Let f(m) = 3. Let j(y) = 1338*y**3 + 36. Give 12*f(n) - j(n). -1338*n**3 Let u(b) = 7*b**2 + 3*b + 3. Let j(l) = -9*l**2 - 3*l - 3. Let p(c) = 3*j(c) + 4*u(c). Let q(w) = 3*w**2 + 7*w + 6. Give 7*p(o) - 3*q(o). -2*o**2 + 3 Let y(m) = -m**3 + 1. Let h be y(1). Let z(c) = h + 1 - 1 - 1. Let k(n) = 2*n + 3. What is k(q) + 3*z(q)? 2*q Let s(h) = -h + 5 + h - 2*h + h. Let t(i) = -20*i + 3. Let k(p) = -3*p + 1. Let l(y) = 7*k(y) - t(y). What is 7*l(v) - 6*s(v)? -v - 2 Let j = 34 - 40. Let p(a) = 4*a**3 - 3. Let o(i) = 24*i**3 - 17. Determine j*o(y) + 34*p(y). -8*y**3 Let f = 8 - -3. Let j(u) = 2*u**2 + 2 - f + 0*u**2. Let m(a) = 1. Give -2*j(c) - 18*m(c). -4*c**2 Suppose -l - 3 = -0. Let j(a) be the first derivative of a**2/2 - a - 2. Let i(z) = 3*z**2 - 3*z + 2. Let q = 227 - 228. Calculate l*j(n) + q*i(n). -3*n**2 + 1 Let a(w) = -8*w + 25*w + 5*w. Let f(c) = -200*c + 283*c - 90*c. Determine -5*a(o) - 16*f(o). 2*o Let h(p) = -3*p + 1. Let a = 4 + -7. Suppose 0 = -7*l + 80 - 24. Let b(r) = -4 + 10*r + 3 - l*r. Determine a*h(k) - 5*b(k). -k + 2 Let q(h) = 9*h + 50. Let l be q(-5). Let n(r) = 2*r**2 + 2. Let d(w) be the third derivative of w**5/15 - w**4/24 + 2*w**3/3 - 9*w**2. What is l*n(c) - 3*d(c)? -2*c**2 + 3*c - 2 Let x(n) = -21*n - 1. Let k(d) be the first derivative of -7*d**2 - d - 751. Calculate -7*k(r) + 5*x(r). -7*r + 2 Let f(y) = 3*y + 473. Let k(z) = 4*z + 708. Give 7*f(r) - 5*k(r). r - 229 Let j(u) = -48*u**3 + 4*u**2 + u - 4. Let w(x) = -96*x**3 + 9*x**2 + 2*x - 9. Determine 9*j(t) - 4*w(t). -48*t**3 + t Let n(g) = -489*g**2 + 21*g + 42. Let b(s) = -49*s**2 + 2*s + 4. Give -21*b(f) + 2*n(f). 51*f**2 Let w(q) = 2*q**2 - 2 - 7*q**3 - 4*q**2 + 9 - 5 - 4*q + 2*q. Let o(r) = 36*r**3 + 11*r**2 + 11*r - 11. Give 2*o(f) + 11*w(f). -5*f**3 Suppose -10 = 4*v - 2*x, 12*v - 14*v + 7 = -5*x. Let p(d) = -4*d**2 + 3*d - 5. Let k(y) = -5*y**2 + 4*y - 5. Determine v*p(s) + 3*k(s). s**2 + 5 Let p(g) = 11*g + 5*g + 20*g - 37*g. Let x(f) = f**2 - f + 2. Calculate -3*p(d) + x(d). d**2 + 2*d + 2 Let s(a) = 20*a**2 - 17. Let l(u) = -3*u**2 - 4*u + 10. Let h(o) = -10*o**2 - 11*o + 29. Let c(y) = 4*h(y) - 11*l(y). Determine 17*c(n) + 6*s(n). n**2 Let g(t) be the first derivative of -3*t**4/2 + 4*t**3/3 + 3*t**2/2 - t + 86. Let q(c) = -5*c**3 + 3*c**2 + 2*c. Determine -2*g(l) + 3*q(l). -3*l**3 + l**2 + 2 Let n(v) = v**2 - v. Let m(h) be the first derivative of 5*h**3/3 - 3*h**2 - h - 27. Determine -m(t) + 6*n(t). t**2 + 1 Let p(c) = 19. Let o(b) = 11. Let h(w) = 7*o(w) - 4*p(w). Let v(u) = u**2 + u + 1. Suppose -5*q + n - 15 = 6*n, -2*q - n = 1. What is q*h(f) - v(f)? -f**2 - f + 1 Let p(b) = -5*b - 16. Let a(j) = 5*j + 15. Calculate 4*a(n) + 3*p(n). 5*n + 12 Let n(q) = -60*q + 51. Let b(m) = 10*m - 8. What is 39*b(a) + 6*n(a)? 30*a - 6 Let t(o) = -279*o**3 + 5*o**2 + 5*o + 5. Let f(h) = -2*h**3 - h**2 - h - 1. Calculate -15*f(r) - 3*t(r). 867*r**3 Let o(s) = -7*s**3 - 2*s**2 - 15*s - 7. Let q(t) = 8*t**3 + 2*t**2 + 16*t + 8. Give 6*o(j) + 5*q(j). -2*j**3 - 2*j**2 - 10*j - 2 Let c(r) = r - 221. Let q(g) = g - 219. Determine 3*c(s) - 2*q(s). s - 225 Let u(t) = 4*t**3 - 196*t**2 + 20*t. Let c(z) = -2*z**2 + z. Determine -20*c(j) + u(j). 4*j**3 - 156*j**2 Let a(v) = 4*v**3 - v**3 - v**2 + 8*v**3 + 6*v**2. Let r(p) = -45*p**3 - 21*p**2. Calculate -21*a(j) - 5*r(j). -6*j**3 Let d(r) = r**2 - r + 1. Let i(n) = 80*n - 317. Let w be i(4). Let g(b) = 2*b**2 + 3*b - 5. Determine w*d(h) + g(h). 5*h**2 - 2 Let v(u) = 4*u**3 + 5*u**2 - 8*u - 6. Let w(r) = 17*r**3 + 20*r**2 - 33*r - 27. Calculate -9*v(z) + 2*w(z). -2*z**3 - 5*z**2 + 6*z Let t be (9 + -18)/(1 + 0). Let o(w) = 5*w**3 + 9*w + 9. Let b(l) = l**3 + 2*l + 2. Calculate t*b(p) + 2*o(p). p**3 Let m(k) = 36*k - 14. Let d(j) = -12*j + 5. Suppose 30 = -18*a - 222. What is a*d(t) - 5*m(t)? -12*t Let y(r) be the second derivative of 5*r**3/6 + 11*r**2/2 - 101*r. Let q(o) = o + 2. What is -22*q(w) + 4*y(w)? -2*w Let y(t) = -t - 3 + 16*t**2 - 16*t**2 - 3*t + 6 - 12*t**2. Let m(r) = -11*r**2 - 3*r + 3. Determine -6*m(j) + 5*y(j). 6*j**2 - 2*j - 3 Let p(f) = -15*f**2 + 0*f + 10*f**2 + 3*f - f - 2. Let d(n) = n. Calculate 4*d(r) - p(r). 5*r**2 + 2*r + 2 Let x(c) = -c. Let f(i) = -i - 1. Suppose 50 = 5*s - 80. Let r = s - 20. Suppose -r*n - 8 = -2. Determine n*f(p) + 2*x(p). -p + 1 Let i(d) = 4*d**2 + 13*d. Let w be (1/3)/((-4)/(-132)). Let o be 2 + -4 - w/1. Let l = o + 11. Let r(g) = -g**2 - 4*g. Calculate l*i(a) - 7*r(a). -a**2 + 2*a Let d(g) = g**3 + g**2 + g + 1. Let j(h) be the third derivative of -h**6/15 - h**5/60 - h**4/12 - h**3/3 + h**2 - 3. What is -2*d(q) - j(q)? 6*q**3 - q**2 Let v(s) = -155*s**2 - 17*s + 14. Let o(l) = -103*l**2 - 11*l + 9. What is -8*o(c) + 5*v(c)? 49*c**2 + 3*c - 2 Let z(l) = 9*l**2 + 7*l - 6. Let j(k) = 10*k**2 + 8*k - 7. Suppose -72 + 42 = -5*y. Calculate y*z(u) - 5*j(u). 4*u**2 + 2*u - 1 Let b(l) = 4*l**3 + 5*l**2 + 3*l + 3. Let q(w) = -w**3 + 6*w**2 + 5*w + 17. Let t be q(7). Let o(d) = -d**3 + d**2 - d - 1. Determine t*o(g) + b(g). g**3 + 8*g**2 Let h = 11 + -8. Suppose -7 = 2*b + h*k - 0, 2*b = -4*k - 12. Let v(n) = -13*n - 9. Let z(u) = -3*u + 0*u + 2 - 4. Calculate b*v(a) - 18*z(a). 2*a Let q(m)
{ "pile_set_name": "DM Mathematics" }
of sequence xxx. 1 What is prob of sequence qqqh when four letters picked without replacement from {q: 4, m: 4, h: 2}? 1/105 Two letters picked without replacement from {g: 5, c: 4, j: 2}. What is prob of sequence gg? 2/11 Calculate prob of sequence vppp when four letters picked without replacement from {v: 7, p: 7}. 35/572 Two letters picked without replacement from {c: 2, r: 1}. Give prob of sequence rc. 1/3 Two letters picked without replacement from {m: 7, x: 4}. Give prob of sequence xm. 14/55 What is prob of sequence veve when four letters picked without replacement from {v: 13, e: 3}? 3/140 Four letters picked without replacement from eeeyegjejejyjjueejj. Give prob of sequence yeyj. 7/5814 Two letters picked without replacement from ybtbbytbb. Give prob of sequence tt. 1/36 Four letters picked without replacement from {f: 2, m: 8, o: 2, w: 7}. Give prob of sequence mffo. 1/2907 Two letters picked without replacement from {v: 1, s: 3, z: 1, p: 9}. What is prob of sequence vp? 9/182 Three letters picked without replacement from eqeuuuusuuueuesq. Give prob of sequence sse. 1/420 Two letters picked without replacement from zwzrwoqjrjqrroz. Give prob of sequence qq. 1/105 What is prob of sequence oe when two letters picked without replacement from aookkpogakpgoegp? 1/60 Two letters picked without replacement from {j: 5, r: 9}. Give prob of sequence rj. 45/182 Calculate prob of sequence bb when two letters picked without replacement from {b: 15, u: 5}. 21/38 Two letters picked without replacement from eeooeeeoeee. What is prob of sequence eo? 12/55 Calculate prob of sequence pv when two letters picked without replacement from rrrrvprrr. 1/72 What is prob of sequence hh when two letters picked without replacement from llllhllllhhhhlhhhhhh? 11/38 Two letters picked without replacement from dpdrpqdpdqdprrddqa. What is prob of sequence dp? 14/153 Two letters picked without replacement from {t: 5, k: 4, f: 1, h: 1, x: 3, m: 4}. Give prob of sequence xt. 5/102 What is prob of sequence xxx when three letters picked without replacement from {x: 4, k: 14}? 1/204 Calculate prob of sequence afeu when four letters picked without replacement from {a: 2, u: 1, f: 6, e: 2}. 1/330 Calculate prob of sequence gk when two letters picked without replacement from kgkkagkgkg. 2/9 Four letters picked without replacement from oomooomooootmommoo. Give prob of sequence mmmt. 1/1224 Three letters picked without replacement from eenigeegf. What is prob of sequence nef? 1/126 What is prob of sequence jwjj when four letters picked without replacement from {g: 4, w: 1, j: 4, u: 2, v: 6}? 1/2380 Calculate prob of sequence cp when two letters picked without replacement from {c: 2, z: 2, p: 1, l: 2, y: 1, m: 1}. 1/36 Four letters picked without replacement from {o: 7, t: 3, m: 3}. What is prob of sequence ttto? 7/2860 What is prob of sequence jz when two letters picked without replacement from jjcjcjzzzzzzccj? 1/7 Three letters picked without replacement from gjjjjjjj. Give prob of sequence jjj. 5/8 Three letters picked without replacement from vvkvvvvvkvvvvvvkkvv. Give prob of sequence vkk. 10/323 What is prob of sequence qh when two letters picked without replacement from {q: 2, m: 1, t: 1, h: 2}? 2/15 Calculate prob of sequence erej when four letters picked without replacement from eerercerrrcreeeccj. 7/2040 Calculate prob of sequence cz when two letters picked without replacement from zczzzczccz. 4/15 What is prob of sequence kk when two letters picked without replacement from {e: 1, k: 12}? 11/13 Four letters picked without replacement from eeeleeeleeleeeeeeell. Give prob of sequence llee. 35/969 Two letters picked without replacement from {c: 6, e: 6}. What is prob of sequence ec? 3/11 Two letters picked without replacement from {g: 2, s: 3, x: 2, p: 4}. What is prob of sequence xp? 4/55 Two letters picked without replacement from {l: 1, x: 2, t: 2, d: 1, a: 2}. Give prob of sequence xx. 1/28 Two letters picked without replacement from krkkkkkkkkkkk. What is prob of sequence rk? 1/13 What is prob of sequence et when two letters picked without replacement from {c: 1, e: 3, t: 2, o: 3, i: 1, s: 2}? 1/22 Calculate prob of sequence bbp when three letters picked without replacement from ppppppbppbpbppppbp. 7/204 What is prob of sequence ggzx when four letters picked without replacement from xxgirgxzrzxxgrxxzgx? 1/323 What is prob of sequence gag when three letters picked without replacement from {a: 11, g: 2}? 1/78 Three letters picked without replacement from {i: 3, f: 4}. What is prob of sequence fif? 6/35 Calculate prob of sequence vv when two letters picked without replacement from wwwwvvwvvvwwwwww. 1/12 Three letters picked without replacement from kckkkc. Give prob of sequence ckk. 1/5 Two letters picked without replacement from kkjjbykzyyy. What is prob of sequence jy? 4/55 Calculate prob of sequence flr when three letters picked without replacement from ryyrgrfklyllyyyyg. 3/1360 Three letters picked without replacement from {w: 2, o: 2}. What is prob of sequence wwo? 1/6 What is prob of sequence rv when two letters picked without replacement from ldrvrdvlryrdlrr? 2/35 Two letters picked without replacement from iiiaisaiisasi. Give prob of sequence aa. 1/26 Four letters picked without replacement from {b: 1, h: 2, i: 10, l: 4}. Give prob of sequence hhib. 1/2856 Four letters picked without replacement from aaklwlqlkwxa. What is prob of sequence xala? 1/660 Calculate prob of sequence euvu when four letters picked without replacement from uvbwvuvaavveevuwwev. 7/5168 Four letters picked without replacement from {h: 2, l: 6, p: 4}. What is prob of sequence hlph? 2/495 Four letters picked without replacement from {o: 2, i: 6, t: 5, c: 1, j: 5, u: 1}. Give prob of sequence itit. 5/969 Three letters picked without replacement from {o: 1, d: 2, m: 1, h: 2}. Give prob of sequence dom. 1/60 Two letters picked without replacement from nttntnnnnntttnnt. Give prob of sequence tn. 21/80 Three letters picked without replacement from uccucuuunrncrunuc. What is prob of sequence cnu? 7/272 Calculate prob of sequence bbkb when four letters picked without replacement from wwwwbkbb. 1/280 Calculate prob of sequence eu when two letters picked without replacement from uuxxzexxuuzzzxxb. 1/60 What is prob of sequence jcqh when four letters picked without replacement from fqhjcqojoochhc? 3/2002 Four letters picked without replacement from ciiciiicii. Give prob of sequence iiii. 1/6 What is prob of sequence oko when three letters picked without replacement from {o: 15, k: 5}? 35/228 Three letters picked without replacement from kxnxrrrrvdnk. Give prob of sequence xnr. 2/165 Calculate prob of sequence eq when two letters picked without replacement from eeq. 1/3 Four letters picked without replacement from cttccctttcctc. What is prob of sequence ctcc? 21/286 Four letters picked without replacement from anoannnnaoaattannnn. Give prob of sequence oaon. 3/2584 Calculate prob of sequence kppk when four letters picked without replacement from kddkdodokkkpodp. 1/819 Three letters picked without replacement from migwq. What is prob of sequence igq? 1/60 Calculate prob of sequence ha when two letters picked without replacement from hahvvhavhpavava. 2/21 Two letters picked without replacement from wqkqqqqwkqkqwkwqw. Give prob of sequence ww. 5/68 What is prob of sequence tn when two letters picked without replacement from nnnnttntntn? 14/55 Two letters picked without replacement from arrra. What is prob of sequence aa? 1/10 What is prob of sequence vv when two letters picked without replacement from {v: 4}? 1 Three letters picked without replacement from {y: 14, i: 5}. What is prob of sequence yyy? 364/969 What is prob of sequence xixa when four letters picked without replacement from {a: 3, g: 6, i: 2, x: 4}? 1/455 Three letters picked without replacement from {x: 5, l: 3, p: 3}. Give prob of sequence llp. 1/55 What is prob of sequence xrr when three letters picked without replacement from xrrxxxrxrr? 5/36 Two letters picked without replacement from lllllpllllllllllppp. What is prob of sequence pl? 10/57 Three letters picked without replacement from tmmzzzmmzzzzttzm. Give prob of sequence tzm. 1/28
{ "pile_set_name": "DM Mathematics" }
4*j**3 - 9*j**2. Calculate i(6). 123 Let s = 78 - 75. Suppose 2*c + s*k = 5*k, 2*c = -k + 9. Let l(y) = 6*y**2 - 5 - 13 + y**c + 15. Give l(-6). -3 Let s(k) = -10179*k**2 + 10185*k**2 - 1 - 4*k + 9*k - 4. What is s(2)? 29 Let o(c) = -6*c**2 - 29*c - 36. Let j(v) = -v**2 - 6*v - 7. Let a(z) = -11*j(z) + 2*o(z). What is a(5)? 20 Let l(c) = 25*c - 35*c + 2 + 12*c. Let s = -101 - -92. Calculate l(s). -16 Let f(k) = k - 30 - 7*k + 35 - 3*k + 6*k. Suppose -j = 2*q - 2*j - 14, 0 = 2*q - 4*j - 26. Calculate f(q). -10 Let i(d) = 11*d**2 + 222*d + 39. Let r be i(-20). Let a(w) be the third derivative of w**6/10 + w**5/60 - w**4/12 - w**3/3 - w**2. Calculate a(r). -11 Let y(q) = 7*q + 118. Let t be y(-14). Suppose 5*p + 4*z + t = z, -p + 2*z = 4. Let h(c) = 2*c + 5. Calculate h(p). -3 Suppose -269*x = -259*x + 30. Let b(r) be the second derivative of 2*r + 1/2*r**2 - 5/6*r**3 - 1/12*r**4 + 0. What is b(x)? 7 Let n(y) = -3*y + 8. Let g be n(0). Suppose 2*i - g = -4. Let o(c) = -100*c**2 + 7*c**3 + 34*c**2 + 30*c**i + 37*c**2. Calculate o(-1). -6 Let j(d) be the first derivative of d**5/120 - 7*d**4/24 - 3*d**3 - 38. Let z(y) be the third derivative of j(y). What is z(0)? -7 Let n(q) be the second derivative of q**3/6 + 4*q**2 - 2578*q. Suppose -4*x = 44 - 0. Give n(x). -3 Let w(q) = q**3 + 17*q**2 + 13*q - 55. Let c be w(-16). Let x(p) = p**2 + 14*p + 10. Let h(v) = -v + 1. Let s(t) = -5*h(t) - x(t). Determine s(c). -1 Let q(b) be the second derivative of -b**4/24 + 4*b**3/3 + 237*b**2/2 - 4*b - 30. Let k(m) be the first derivative of q(m). Give k(5). 3 Let y be ((-30)/(-40) - (-250)/(-120))*(-3)/8. Let z(n) be the third derivative of 0 - y*n**3 + 1/24*n**4 - 17*n**2 + 0*n. Determine z(-4). -7 Let a(g) = -2*g + 155. Let t(q) = q - 85. Let x(v) = -3*a(v) - 5*t(v). Give x(18). -22 Let w(v) = v**2 + 18*v + 5. Let s = -7231 + 7213. Determine w(s). 5 Let k be (16/(-12))/(-4)*27. Let f(a) = 5 - k - a + 5 - a**2 + a**3 + 2*a**3. Suppose -7 = -16*n + 9*n. What is f(n)? 2 Suppose -57 = -2*h - 3*u - 17, -16 = -h - u. Let b(o) = -o**2 + 29*o - 162. Calculate b(h). 6 Let h(n) = -n**3 + 5*n**2 + 6*n + 3. Let f be h(6). Let j(a) = a**f - 6*a - 6*a**2 - 2*a**3 + 0 + a**2 - 1. Let t = -58 - -54. Determine j(t). 7 Let v(i) = 13*i + 1. Let c(x) = 44*x. Let n(r) = -c(r) + 3*v(r). Suppose -9 = 2*l + l. Determine n(l). 18 Suppose -5*p = -5*a - 1680, -6*p + a = -p - 1684. Suppose 0 = 2*l + 349 - p. Let v(d) be the first derivative of -d**3/3 - 5*d**2 - 3*d - 2. Determine v(l). 21 Suppose 0 = -2*w + 195 - 75. Suppose w = 31*g - 21*g. Let d(k) = -2*k + 11. Give d(g). -1 Let j(r) = 0*r + 3*r + r + 11*r**2 - 28*r**2 + 16*r**2 + 15. Determine j(5). 10 Let a(u) = u**2 + 41*u + 4. Let o(h) = 9*h + 1. Let r(k) = a(k) - 5*o(k). What is r(4)? -1 Let c(k) = 482*k - 243*k - 241*k - 1. Determine c(1). -3 Let l(i) = 4*i + 4. Let b be 7/(-8) + 15/(-120). Let z be (1 - b/(-1)) + 5. Give l(z). 24 Let k(q) = -115 - 34*q + 8*q + 636 + 283. Calculate k(31). -2 Let g(a) = a. Let c(f) = 3*f. Let v(p) = -p**2 + 7*p + 3. Let n be v(8). Let o(s) = n*g(s) + 2*c(s). Suppose 18*t - 2737 + 2521 = -90*t. What is o(t)? 2 Let z(a) be the second derivative of 1/2*a**4 - 3/2*a**2 + 1/6*a**3 + 135*a + 0 + 1/20*a**5. Determine z(-6). -9 Let i(c) be the first derivative of 2*c**3/3 - 3*c**2/2 + 4*c - 2420. What is i(1)? 3 Let m(b) = 47*b - 16. Let f(v) = -102*v + 37. Let k(h) = -6*f(h) - 13*m(h). Suppose 64 = 5*a - a + 4*c, 84 = 5*a + 4*c. Determine k(a). 6 Let w(p) = 8*p**2 + p. Let r(h) = -h**2. Let o(n) = -3*r(n) + w(n). Suppose -2*u - 6 = -0*u + v, 0 = -2*u - 4*v - 30. What is o(u)? 12 Let l(x) = -3*x + 308*x**2 + 57*x**3 + 58*x**3 - 108*x**3 + 44 + 3 + 4*x. Determine l(-44). 3 Let d(a) = -a**3 + 16*a**2 - 4*a + 61. Let k(v) = -17*v**3 - 17*v**2 - 30*v - 14. Let p be k(-1). Determine d(p). -3 Let j(d) = -4*d**2 - d - 3. Suppose -n - 4 = -8. Let v(b) be the first derivative of 5*b**3/3 + b**2 + 4*b + 10. Let z(q) = n*j(q) + 3*v(q). What is z(-2)? -8 Let k(g) = g. Let v(j) = j**3 - 6*j**2 - 4*j. Let t(z) = 3*k(z) - v(z). Let c be (78/(-9) + 8)/(4/(-42)). Give t(c). 0 Let f be (-5)/(-20) - (-174)/(-24). Let t(z) = -z**3 - 2 - 2 + 11 - 8*z**2 - 8*z + 3*z. Give t(f). -7 Let z(a) = 28*a**3 + a**2 + 2*a - 16. Let g(r) = 3*r**3 + r**2 - r - 1. Let l(f) = 9*g(f) - z(f). Give l(7). -21 Let d be (-180)/495 + 140/22. Let i(b) = b**3 - 7*b**2 + 7*b - 9. Determine i(d). -3 Let j(r) = -r**2 + 2*r - 3. Let s(i) = 553 - 18*i - 582 + 22*i + i**2. Let t be s(-8). Calculate j(t). -6 Let b(g) = g**3 - 6*g**2 - 2*g + 5. Let t(c) = -8*c - 162. Suppose 49*y + 42 = 47*y. Let i be t(y). Determine b(i). -7 Let r(w) = 703 - 4*w + 701 - 1400 + 10*w - 40*w**2. Determine r(-1). -42 Let v(b) = b. Let s = 8 - 6. Let i(g) = -5*g**2 + 2*g + 4. Let o be i(s). What is v(o)? -12 Suppose -j = -4*j - 3*w - 6, -16 = -2*j + 2*w. Let b(f) = -63 + 3*f + 29 + j*f**2 + 32. Calculate b(-3). 16 Let s = -417 - -412. Let k(l) = -8*l**2 - 22*l + 15. Let c(j) = 11*j**2 + 33*j - 23. Let x(o) = s*c(o) - 7*k(o). Calculate x(9). -8 Suppose -3*a - 5*j = -63, -2*j - 23 = -4*a + 35. Let b be (-2)/4*a/12*12. Let v(u) = -u + 3. Give v(b). 11 Let m(q) be the third derivative of 7*q**4/6 + 25*q**3/3 - 999*q**2 - 1. Determine m(-2). -6 Let p(z) = -192 + 191 + 5*z**2 - 4*z**2 + 2*z. Let f(t) = 2*t**2 + 2*t - 5. Let u(c) = f(c) - p(c). Let n = 16 + -19. Calculate u(n). 5 Let l(o) = -4*o**3 + 2*o - 3. Let p be 1/3*(83 - -16). Suppose 12*x + 21 - p = 0. Give l(x). -5 Let u(j) = 11*j**3 + 47*j**2 - 239*j - 17. Let v(t) = 5*t**3 + 23*t**2 - 109*t - 9. Let l(q) = 6*u(q) - 13*v(q). Give l(18). 33 Let o = 28465 + -11212. Let v(c) = o - 4*c + 0*c**2 - c**3 - 17253 - 5*c**2. Calculate v(-3). -6 Let f(v) be the first derivative of 8*v**2 - 5*v - 517. Determine f(0). -5 Let r(v) = 2*v**2 + 1. Let q(d) = d**2 - d + 1. Let k(i) = -2*q(i) + 3*r(i). Let x be k(-1). Suppose -3 - 6 = x*z. Let n(p) = 2*p**2 + 4*p + 1. Give n(z). 7 Let g(q) = 8*q**2 - 19*q - 11. Let d(l) = 3*l**2 - 6*l - 1. Let p(r) = 3*r**2 - 6*r. Let i(w) = -4*d(w) + 3*p(w). Let a(k) = -4*g(k) - 11*i(k). Determine a(-9). -9 Let v(d) = -3*d - 1. Suppose -2*i + 7*i + 60 = 0. Let g be ((-18)/(-1323)*21)/(2/14). Let p be ((-7)/(-14))/(g/i). Calculate v(p). 8 Let d(p) = -2*p + 7. Let j be d(2). Let y = -10 - -11. Let f(x) = -2*x + 3 - x**3 - y + 3*x + 2*x. Determine f(j). -16 Let c(o) = 11*o - 34. Suppose -123*p = -126*p - 3*m + 24, -8 = -4*m. Determine c(p). 32 Let o(j) = -148 + 54 + 18*j - 16*j + 40 + 37. Give o(-9). -35 Let z(a) = 2*a + 15 - 23*a**2 - 27*a**2 + 85*a**2 - 28*a**2. Let y(x) = -x**2 + x - 1. Let k(o) = 6*y(o) + z(o). What is k(-8)? 9 Let o(w) = 33*w - 22. Let v(z) = 405*z - 265. Let l(a) = 25*o(a) - 2*v(a). Calculate l(2). 10 Let d(a) = -6*a - 20. Let w(j) = 12*j + 60. Let i(q) = -6*q - 29. Let c(s) = 7*i(s) + 3*w(s). Let y(b) = 5*c(b) - 6*d(b). What is y(4)? 29 Let h(g) = 2*g + 77. Let j be h(27). Let a = j - 125. Let o(q) = q**2 - 8*q + 3. Let y(f) = -f. Let t(k) = o(k) - 2*y(k). Give t(a). 3 Suppose -4*j + 10644 = 2*a, 2*a = 2*j - a - 5314. Let z(v) = -j*v - 2*v**2 + 2661*v + 0*v**2 - 2*v**2 + 3*v**2. Determine z(3). -6 Let k(o) be the first derivative of -4*o**3/3 + 15*o**2/2 + 4*o + 83. Let f(h) = -3*h**2 + 14*h + 2. Let c(l) = -5*f(l) + 4*k(l). What is c(-8)? 22 Let z(o) = -o**3 + 20*o**2 + 41*o + 70. Let p be ((-264)/(-30))/(-8 + (-294)/(-35)). Determine z(p). 4 Let i = 80 - 102. Let d be (-288)/(-132) - (-4)/i. Let v(f) = 6*f + f**d - 14*f + 6*f + 6 + 8*f. Calculate v(-5). 1 Let t(z) = z**2 + 7*z - 2. Let i = 3031 + -3036. Determine t(i). -12 Suppose 0 = 4*w + 5*k + 25, -2*w = 8*k - 7*k + 11. Let j(y) = -y - 1. What is j(w)? 4 Let h(m) be the first derivative of 2*m**3 - 19*m**2 + 3*m - 1477. Determine h(6). -9 Let s(c) = -c**3 + 4*c**2 + 5*c - 4. Let f = -295 - -301. Let b be f/(-4)*(-40)/12. Give s(b). -4 Let m(y) = 5*y**3 - 2*y. Suppose -25*a + 851 - 369 - 407 = 0. Calculate m(a). 129 Let n(i) = -i**2 - 7*i - 9. Let y be (-3)/(6/(-89)) - 5/(-10). Let u = -34 + y. Suppose -7*a = -u + 53. What is n(a)? -3 Let o(m) = m**2 - m. Let j(s) = 3*s + 48 - 23 + 13*s**2 - 6*s - 26. Let c(q) = -j(q) + 2*o(q). What is c(-1)? -11 Let h = -746 + 763. Let c(w) = -w**2 + 15*w + 38. What is c(h)? 4 Let w(v) = -1 +
{ "pile_set_name": "DM Mathematics" }
9) Simplify ((sqrt(128) + sqrt(128) + (sqrt(128) - (1 + sqrt(128))))*1)**2. -32*sqrt(2) + 513 Simplify -2*(sqrt(18))**2 + (sqrt(14)/(sqrt(7) - sqrt(175)))**2. -287/8 Simplify (sqrt(1008) - (sqrt(1008) + 2)**2) + sqrt(1008) + sqrt(7) + -1. -1013 - 23*sqrt(7) Simplify (((1*sqrt(204))/sqrt(6))/sqrt(2))**2 + 2. 19 Simplify 4*sqrt(132)/sqrt(11) - 3*((sqrt(3)*2 + sqrt(3))*-5)**2. -2025 + 8*sqrt(3) Simplify sqrt(19) - ((sqrt(171) + (sqrt(171) - -3*sqrt(171)) - sqrt(171))/sqrt(9) - sqrt(19)) - (5 + -1*sqrt(19)). -5 - sqrt(19) Simplify (-4*sqrt(119)*-2)/(sqrt(343) - (-1*sqrt(343) + sqrt(343))). 8*sqrt(17)/7 Simplify 2 + sqrt(98) + sqrt(200)*6. 2 + 67*sqrt(2) Simplify (sqrt(33)/(sqrt(9)/sqrt(3)))**2 + (-1*sqrt(66))/sqrt(6). -sqrt(11) + 11 Simplify (sqrt(162) + 1)**2*2 - (sqrt(162) - (sqrt(162) - (1 + sqrt(162) + 2)**2)). -18*sqrt(2) + 155 Simplify 3*(4 + (0 + sqrt(1053))**2). 3171 Simplify (2 + 2 + sqrt(192) + 2)**2. 96*sqrt(3) + 228 Simplify ((-5 + sqrt(117)*2 + sqrt(117) - sqrt(117))**2 - sqrt(117)) + sqrt(117) - (4 + -2*sqrt(1300) + sqrt(1300))**2. -823 + 20*sqrt(13) Simplify 5 + (sqrt(88)/sqrt(8))**2 - 5*sqrt(275). -25*sqrt(11) + 16 Simplify 3 + -1*sqrt(176) + sqrt(176). 3 Simplify (-3*sqrt(52)*-2 - sqrt(52)) + sqrt(208) + 5. 5 + 14*sqrt(13) Simplify ((-1 + sqrt(243) - sqrt(243)) + -2 + 3)**2. 0 Simplify sqrt(45) + sqrt(5) + -2 - (sqrt(20) + -1). -1 + 2*sqrt(5) Simplify sqrt(1300) + sqrt(1300) + 0 + sqrt(1300) - -1*(sqrt(208) + sqrt(13)). 35*sqrt(13) Simplify sqrt(102)/(6*-1*sqrt(6)). -sqrt(17)/6 Simplify ((sqrt(10) - sqrt(250))/sqrt(5))**2 + sqrt(2) - sqrt(24)/sqrt(108). 2*sqrt(2)/3 + 32 Simplify sqrt(13)*2 + 3 + sqrt(52)*4. 3 + 10*sqrt(13) Simplify (sqrt(2304)/sqrt(12) + sqrt(3))**2 + 5. 248 Simplify (sqrt(7) + (5*(sqrt(7) + -2))**2 + sqrt(7) + 5)*-4. -1120 + 392*sqrt(7) Simplify sqrt(12)/(sqrt(54)/(sqrt(9) - (sqrt(225) - sqrt(9)))). -3*sqrt(2) Simplify (sqrt(11) + sqrt(66)/sqrt(96) + -2)*4. -8 + 5*sqrt(11) Simplify -4 + ((sqrt(2688) + sqrt(2688)*2)/(sqrt(6) + 4*(sqrt(6) - sqrt(24))))**2. 444 Simplify -3 + (sqrt(684) - (3*(sqrt(684) + -3))**2). -6240 + 330*sqrt(19) Simplify (-2 + sqrt(5)*4)*4. -8 + 16*sqrt(5) Simplify 1 + sqrt(76) + sqrt(76) + (sqrt(931) - sqrt(931)*1)**2. 1 + 4*sqrt(19) Simplify (1 + sqrt(147) - sqrt(3)) + ((sqrt(18)/sqrt(2))/sqrt(3))**2. 4 + 6*sqrt(3) Simplify -4 + 3 + -2 + sqrt(704). -3 + 8*sqrt(11) Simplify sqrt(57)/(sqrt(27)/(sqrt(9)*1)). sqrt(19) Simplify ((sqrt(252)*2)/sqrt(9))/sqrt(4). 2*sqrt(7) Simplify (-1 + (sqrt(1250) - (sqrt(1250) + -2*sqrt(1250) + sqrt(1250)) - sqrt(1250)) - sqrt(1250) - (-1 + sqrt(1250))*3)**2. -400*sqrt(2) + 20004 Simplify (((sqrt(143)*1 - sqrt(143))*4)/(sqrt(77)/(sqrt(7)*1)))**2. 0 Simplify ((0 + sqrt(343))*2*-5 + -1)**2. 140*sqrt(7) + 34301 Simplify (2*(sqrt(91)*1 + sqrt(91)))/((sqrt(28) - (sqrt(28) - (sqrt(84)/sqrt(3) - sqrt(28))))/sqrt(4) + sqrt(7)). 4*sqrt(13) Simplify (sqrt(121) - (sqrt(121) + -5*sqrt(121)*2 - sqrt(121)))/sqrt(11) + 5 + (-6*1*sqrt(11))**2. 11*sqrt(11) + 401 Simplify (sqrt(15)/(sqrt(21)/(sqrt(7)*-4))*-4)**2. 1280 Simplify -4*sqrt(684)*3. -72*sqrt(19) Simplify (sqrt(539)*1)**2*5 + 4. 2699 Simplify (-3*sqrt(63)*-5)**2. 14175 Simplify (sqrt(1078) - (sqrt(1078) + 2*sqrt(1078)))/(sqrt(18)*-6). 7*sqrt(11)/9 Simplify sqrt(15)/((-2*sqrt(10) - sqrt(10))/sqrt(2)). -sqrt(3)/3 Simplify -3 + 1*sqrt(3) + sqrt(3) + -3. -6 + 2*sqrt(3) Simplify (sqrt(242)*1 + -4)*1. -4 + 11*sqrt(2) Simplify -2 + (sqrt(2299)*1*-2)**2. 9194 Simplify (sqrt(76)*-1 + 4 + -4*(sqrt(76) + -2 + sqrt(76)))**2. -432*sqrt(19) + 6300 Simplify (-1*sqrt(252))**2*6. 1512 Simplify (sqrt(20) - sqrt(100)/sqrt(20))/(sqrt(10) - (sqrt(10) + sqrt(10) + -2*sqrt(1440) + sqrt(1440) + sqrt(10))). sqrt(2)/20 Simplify sqrt(45)/sqrt(225)*2. 2*sqrt(5)/5 Simplify (-4 + sqrt(242) + 1)**2 + (sqrt(4)/sqrt(2))**2*1*-1. -66*sqrt(2) + 249 Simplify (1*sqrt(85)*-2)/((sqrt(5) - (sqrt(45) + sqrt(5)))*6). sqrt(17)/9 Simplify ((sqrt(84)*-1)/sqrt(12) - sqrt(343)*1)**2 + sqrt(28) + -4 + 0. 2*sqrt(7) + 444 Simplify ((-1*sqrt(76)*2)/(sqrt(48)/(sqrt(108) + sqrt(12))))**2. 1216 Simplify ((sqrt(152) + (sqrt(152)*-2 - sqrt(152)))*-6)/(sqrt(8) - 1*sqrt(128) - sqrt(8)). -3*sqrt(19) Simplify (-2*sqrt(209)*-2 - sqrt(209))/(sqrt(110)/sqrt(90)). 9*sqrt(19) Simplify sqrt(2)*2 + sqrt(2) + 3 + -3 + sqrt(2)*1. 4*sqrt(2) Simplify 4 + ((2*sqrt(72) + sqrt(72) + sqrt(72))*-3)**2. 10372 Simplify sqrt(360)/(3*(sqrt(8) + (sqrt(72) - sqrt(8)))). sqrt(5)/3 Simplify ((sqrt(35) + (sqrt(35) - sqrt(35)*-2))*1)/(sqrt(50)/(sqrt(10)*1)). 4*sqrt(7) Simplify (sqrt(396) + -1 + sqrt(396))*-5. -60*sqrt(11) + 5 Simplify sqrt(13) + 1 + 0 + sqrt(52)*1. 1 + 3*sqrt(13) Simplify 2 + (sqrt(4)/(sqrt(10)/sqrt(5) + sqrt(2)))**2. 5/2 Simplify (sqrt(72) + sqrt(2))*-2 - (sqrt(196)/sqrt(2))**2. -98 - 14*sqrt(2) Simplify -4*(sqrt(14)/sqrt(2) + 0). -4*sqrt(7) Simplify (sqrt(112) + -2)**2 + sqrt(35)/(sqrt(20)/sqrt(4)) + -4. -15*sqrt(7) + 112 Simplify (-2 + ((sqrt(147) + -2 + sqrt(147))*6 - sqrt(147)))**2. -2156*sqrt(3) + 17983 Simplify sqrt(88)/(sqrt(72)/sqrt(36))*-3. -6*sqrt(11) Simplify -2 + sqrt(17) + 0 - sqrt(51)/(sqrt(3) + sqrt(3)*-2). -2 + 2*sqrt(17) Simplify (1*((-3*sqrt(243) - sqrt(243)) + sqrt(243) - sqrt(243)))**2. 3888 Simplify sqrt(33)/(sqrt(2304)/sqrt(12)). sqrt(11)/8 Simplify (-5*(sqrt(396) + 0 + sqrt(396) - sqrt(396)))**2 + sqrt(396) + sqrt(11) + (-2*sqrt(176))**2 + -2 + (sqrt(11) + 0 - sqrt(11))**2. 7*sqrt(11) + 10602 Simplify ((sqrt(136)/(sqrt(12)/sqrt(3)))/(sqrt(4)/sqrt(2)*-6))**2. 17/36 Simplify -6*1*sqrt(9)/sqrt(3). -6*sqrt(3) Simplify 4 + sqrt(832) + 0. 4 + 8*sqrt(13) Simplify -1 + (1 + sqrt(11))**2*6 + -2. 12*sqrt(11) + 69 Simplify (sqrt(960)*2)/(sqrt(243)*-2 - sqrt(3)). -16*sqrt(5)/19 Simplify -2*sqrt(18) - ((sqrt(2) + 2 + sqrt(2) - sqrt(2))*-6)**2. -216 - 150*sqrt(2) Simplify (-2*sqrt(68) + sqrt(68))**2 - (sqrt(17) + (sqrt(1700) + sqrt(1700)*2)**2). -15232 - sqrt(17) Simplify (3*(sqrt(104)/sqrt(2) + sqrt(52)))/((sqrt(4) + (sqrt(12)/sqrt(3) - sqrt(4)))*-1 - sqrt(4)). -3*sqrt(13) Simplify (-4*(sqrt(325) - (2*sqrt(325) + -1)))**2*-3. -15648 + 480*sqrt(13) Simplify -1 + sqrt(76) + sqrt(19) + (sqrt(114)/sqrt(6))**2 + -1. 3*sqrt(19) + 17 Simplify (sqrt(98) + -2 - sqrt(2)) + sqrt(162)*-4. -30*sqrt(2) - 2 Simplify -5*(0 + sqrt(11))*-4. 20*sqrt(11) Simplify sqrt(55)/(sqrt(5) - sqrt(180)). -sqrt(11)/5 Simplify 4*((0 + sqrt(76))**2 + sqrt(76)). 8*sqrt(19) + 304 Simplify (sqrt(1470)*3 + sqrt(30))/sqrt(10). 22*sqrt(3) Simplify (5*(sqrt(192) + sqrt(3)) + -1)**2*4. -360*sqrt(3) + 24304 Simplify (0 + sqrt(720)*-1 - sqrt(720))**2. 2880 Simplify sqrt(85)/(sqrt(5)*-2) + sqrt(170)/(sqrt(10)*-3). -5*sqrt(17)/6 Simplify sqrt(98)*-2 + 3. -14*sqrt(2) + 3 Simplify (sqrt(13) + -2*sqrt(1053) + sqrt(117) + -1)**2. 28*sqrt(13) + 2549 Simplify ((2*(sqrt(132) - sqrt(132)*-2))/sqrt(12))**2. 396 Simplify sqrt(5) + -2 + -3 + -4 + -1. -10 + sqrt(5) Simplify (((sqrt(132)/sqrt(4))/sqrt(3) - 6*sqrt(99))*3)**2. 28611 Simplify (sqrt(209) - (sqrt(209) + sqrt(209) + (sqrt(209) - (6*sqrt(209)*-2 - sqrt(209) - sqrt(209)))))/(sqrt(88)/sqrt(128)). -64*sqrt(19) Simplify (sqrt(104) + sqrt(104) + (sqrt(104) - (sqrt(104) + (2*sqrt(104) + sqrt(104) - sqrt(104))*-6 + sqrt(104))) + sqrt(104))/(sqrt(24)/sqrt(3)*-4). -7*sqrt(13)/2 Simplify -2*2*sqrt(304). -16*sqrt(19) Simplify -3 + (sqrt(102)*2)/sqrt(6). -3 + 2*sqrt(17) Simplify 1*(2*sqrt(528) - sqrt(528))/(sqrt(96)/sqrt(2)). sqrt(11) Simplify (-1*sqrt(72) - sqrt(72))/sqrt(4) + sqrt(18). -3*sqrt(2) Simplify ((sqrt(400) - 1*sqrt(400))*-4)/(sqrt(8) + 1*sqrt(72)). 0 Simplify (sqrt(1100) + (2 + sqrt(1100) - sqrt(1100)) + -2)**2. 1100 Simplify ((sqrt(132) - (sqrt(132) + (sqrt(132) - sqrt(132)*-2) + sqrt(132) - sqrt(132))) + sqrt(132) + sqrt(132))/sqrt(12) + (-1*sqrt(55))/sqrt(5). -2*sqrt(11) Simplify (-4 + (sqrt(272) - (sqrt(272) + sqrt(272)*1)) + -6*sqrt(272)*-2)**2. -352*sqrt(17) + 32928 Simplify 0 + 5 + (-4*(sqrt(11) + 1)**2 - sqrt(11)). -43 - 9*sqrt(11) Simplify 2*sqrt(1053) + -2. -2 + 18*sqrt(13) Simplify (sqrt(1700) + -2 - sqrt(2057)*-2)**2*2. -256*sqrt(17) + 34824 Simplify -5*(-2*sqrt(3) + -5 - (-5 + 0 + sqrt(3)))**2. -135 Simplify -2*sqrt(612)*-3. 36*sqrt(17) Simplify ((sqrt(104) - 2*sqrt(104))/sqrt(2) + sqrt(52))/((sqrt(16)*2)/sqrt(4)). 0 Simplify ((sqrt(77) + (sqrt(77)*-3 - sqrt
{ "pile_set_name": "DM Mathematics" }
1 What is the hundreds digit of 238166? 1 What is the ten thousands digit of 35481? 3 What is the millions digit of 5341936? 5 What is the ten thousands digit of 325372? 2 What is the ten thousands digit of 405983? 0 What is the tens digit of 51362? 6 What is the tens digit of 146525? 2 What is the hundred thousands digit of 1927690? 9 What is the tens digit of 374459? 5 What is the hundreds digit of 230651? 6 What is the hundreds digit of 27641975? 9 What is the thousands digit of 465844? 5 What is the thousands digit of 3960339? 0 What is the ten thousands digit of 54051? 5 What is the hundreds digit of 174480? 4 What is the hundred thousands digit of 189754? 1 What is the hundred thousands digit of 172213? 1 What is the units digit of 552239? 9 What is the hundreds digit of 8467825? 8 What is the hundreds digit of 4405379? 3 What is the hundreds digit of 754817? 8 What is the ten thousands digit of 566658? 6 What is the thousands digit of 243201? 3 What is the thousands digit of 7475493? 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7 What is the millions digit of 4032559? 4 Wh
{ "pile_set_name": "DM Mathematics" }
o + 4) Solve 2*x**3/5 + 430392*x**2/5 - 172158*x + 430396/5 = 0. -215198, 1 Factor -3*d**3/2 + 59487*d**2 - 237939*d/2 + 59484. -3*(d - 39656)*(d - 1)**2/2 Solve -26*f**2/9 - 77944*f/9 + 11992/9 = 0 for f. -2998, 2/13 Find l such that -6*l**4/7 - 88*l**3/7 + 10*l**2 + 624*l/7 + 360/7 = 0. -15, -2, -2/3, 3 Solve -5*b**5 + 5*b**4 + 75*b**3 + 115*b**2 + 50*b = 0. -2, -1, 0, 5 Find a, given that -10*a**2 + 482*a = 0. 0, 241/5 Factor 4*r**2 + 11427792*r + 8162151874704. 4*(r + 1428474)**2 Factor -o**2/10 - 7543*o/5 + 15087/10. -(o - 1)*(o + 15087)/10 Solve 6*t**5/5 + 96*t**4/5 + 324*t**3/5 + 456*t**2/5 + 294*t/5 + 72/5 = 0. -12, -1 Factor 4*n**3 + 9612*n**2 - 19236*n + 9620. 4*(n - 1)**2*(n + 2405) Find w such that -50*w**5/7 + 23430*w**4/7 + 127448*w**3/7 + 251712*w**2/7 + 216000*w/7 + 68256/7 = 0. -2, -6/5, -1, 474 Factor -l**3/4 - 1009*l**2/4 - 18088*l - 336813. -(l + 38)**2*(l + 933)/4 Solve -53*x**4/3 + 7259*x**3/9 - 27887*x**2/9 - 24355*x/9 + 3650/3 = 0 for x. -1, 1/3, 5, 2190/53 Let 3*q**5/4 - 237*q**4/4 + 3279*q**3/2 - 37317*q**2/2 + 269919*q/4 + 351351/4 = 0. What is q? -1, 13, 21, 33 Find u, given that 4*u**4 - 688*u**3 + 6548*u**2 - 11048*u + 5184 = 0. 1, 8, 162 Let 3*u**4 - 2340*u**3 + 129951*u**2 - 252894*u + 125280 = 0. Calculate u. 1, 58, 720 Factor -3*i**3/2 - 3885*i**2/2 - 631788*i - 1877922. -3*(i + 3)*(i + 646)**2/2 Determine n so that -2*n**4/13 + 7344*n**3/13 - 87754*n**2/13 - 314700*n/13 - 219600/13 = 0. -2, -1, 15, 3660 Solve 163*a**4/9 - 20210*a**3/9 - 105383*a**2/9 - 430*a/3 = 0 for a. -5, -2/163, 0, 129 Solve 5*v**4 - 20145*v**3 - 80675*v**2 + 60405*v + 362970 = 0. -3, 2, 4033 Factor -u**2/4 - 784*u. -u*(u + 3136)/4 Determine g, given that -g**4/5 - 3236*g**3/5 + 16206*g**2/5 + 3236*g/5 - 3241 = 0. -3241, -1, 1, 5 Let i**5/5 - 79*i**4/5 + 1938*i**3/5 - 15052*i**2/5 + 40936*i/5 - 27744/5 = 0. Calculate i. 1, 4, 6, 34 Suppose 2*t**5/7 - 30*t**4/7 + 138*t**3/7 - 194*t**2/7 + 12*t = 0. What is t? 0, 1, 6, 7 Let -458*w**2/5 - 75124*w/5 - 1968/5 = 0. Calculate w. -164, -6/229 Suppose 4334724*z**4 + 26016672*z**3 + 39062488*z**2 + 74976*z + 36 = 0. What is z? -3, -1/1041 Find u, given that 3*u**4/2 + 77*u**3/2 - 476*u**2 + 506*u + 560 = 0. -35, -2/3, 2, 8 What is y in 11*y**4/2 + 694*y**3 - 1145*y**2/2 - 127*y = 0? -127, -2/11, 0, 1 Find z, given that 3*z**3/2 + 327*z**2 + 3177*z/2 - 1917 = 0. -213, -6, 1 Solve -3*i**5/2 + 146*i**4 - 5879*i**3/2 - 34941*i**2 + 201136*i + 148720 = 0. -11, -2/3, 5, 52 Suppose -o**5 + 46*o**4 - 254*o**3 - 904*o**2 + 6567*o - 8190 = 0. What is o? -5, 2, 3, 7, 39 Factor 6*x**5 + 171*x**4 + 84*x**3. 3*x**3*(x + 28)*(2*x + 1) What is f in 3*f**5 - 2031*f**4 + 342699*f**3 + 365127*f**2 - 3463902*f + 2758104 = 0? -4, 1, 2, 339 Factor j**2/5 + 586*j/5 + 117. (j + 1)*(j + 585)/5 Find h, given that h**2/2 - 115391*h/2 = 0. 0, 115391 What is x in -75*x**5 + 14560*x**4 - 680465*x**3 + 75920*x**2 + 680540*x - 90480 = 0? -1, 2/15, 1, 78, 116 Factor z**2/3 - 17882*z + 429104/3. (z - 53638)*(z - 8)/3 Solve -p**4/8 + 4467*p**3/8 - 8927*p**2/8 - 13395*p/8 = 0. -1, 0, 3, 4465 Find p, given that -p**4/9 + 115*p**3/9 + 923*p**2/9 - 2845*p/3 + 1586 = 0. -13, 3, 122 Suppose 4*u**2 + 1468*u - 180032 = 0. Calculate u. -464, 97 Suppose 5*u**4/3 + 155*u**3/3 + 215*u**2 - 155*u/3 - 650/3 = 0. What is u? -26, -5, -1, 1 Factor -4*i**3 - 873*i**2 - 2798*i - 645. -(i + 3)*(i + 215)*(4*i + 1) Determine z so that -35*z**5/2 - 2641*z**4/6 + 3749*z**3 - 2762*z**2 - 1972*z/3 + 128 = 0. -32, -2/7, 2/15, 1, 6 Let 5*c**2 + 5675*c - 150930 = 0. What is c? -1161, 26 Determine g so that -g**4/2 + 4857*g**3 + 19431*g**2/2 + 4858*g = 0. -1, 0, 9716 Find c, given that 2*c**3 + 96*c**2 + 360*c + 352 = 0. -44, -2 What is c in -2*c**5 - 6034*c**4 + 48352*c**3 - 145136*c**2 + 193568*c - 96800 = 0? -3025, 2 Let 2*i**5/5 + 372*i**4/5 + 810*i**3 - 22464*i**2/5 - 18792*i = 0. What is i? -174, -15, -3, 0, 6 What is t in -t**5 - 221*t**4 + 3257*t**3 - 7975*t**2 - 50900*t + 188000 = 0? -235, -4, 5, 8 Let 5*r**5 + 22150*r**4 + 154845*r**3 + 176840*r**2 - 353840*r = 0. What is r? -4423, -4, 0, 1 Factor 65*t**3 + 5945*t**2 + 72800*t + 32340. 5*(t + 14)*(t + 77)*(13*t + 6) Suppose -4*z**2 + 280888*z - 4931129284 = 0. What is z? 35111 Suppose -5*i**5/7 - 41*i**4/7 + 122*i**3/7 + 194*i**2/7 - 117*i/7 - 153/7 = 0. Calculate i. -51/5, -1, 1, 3 Find o, given that 2*o**4/9 + 22382*o**3/9 + 62608048*o**2/9 - 62630432*o/9 = 0. -5596, 0, 1 Suppose -5*r**2 - 306320*r - 4691597120 = 0. Calculate r. -30632 Factor 5*u**2 - 3050*u + 378005. 5*(u - 437)*(u - 173) Suppose i**4 + 368*i**3 - 30019*i**2 + 58558*i = 0. Calculate i. -437, 0, 2, 67 Solve 4*m**3/7 - 3744*m**2/7 - 30148*m/7 - 56640/7 = 0 for m. -5, -3, 944 Factor 2*p**3/7 - 11818*p**2 + 122165610*p + 855738450. 2*(p - 20685)**2*(p + 7)/7 Factor t**4/8 - 4167*t**3/8 - t**2/8 + 4167*t/8. t*(t - 4167)*(t - 1)*(t + 1)/8 Determine p so that 2*p**3/9 + 2*p**2/9 - 910*p/3 + 4214 = 0. -43, 21 Solve 15*q**5 + 185*q**4 - 5295*q**3 + 33215*q**2 - 75720*q + 47600 = 0. -28, 1, 4, 5, 17/3 Determine m, given that m**5/4 - 19*m**4/4 + 137*m**3/4 - 473*m**2/4 + 393*m/2 - 126 = 0. 2, 3, 4, 7 Factor 3*b**2 + 100161*b + 1001310. 3*(b + 10)*(b + 33377) Find z such that -3*z**4 - 327*z**3 + 1344*z**2 - 1356*z = 0. -113, 0, 2 Factor -3*z**5 + 90*z**4 - 753*z**3 + 2598*z**2 - 3996*z + 2280. -3*(z - 19)*(z - 5)*(z - 2)**3 Factor 13*r**2 + 149*r - 1224. (r + 17)*(13*r - 72) Factor -4*z**2 - 405632*z + 405636. -4*(z - 1)*(z + 101409) Determine z so that 14*z**3/5 + 115441*z**2/5 - 28041*z - 49482/5 = 0. -8247, -2/7, 3/2 Let 7*a**5/2 - 11*a**4/2 - 17*a**3 + a**2 + 27*a/2 + 9/2 = 0. What is a? -1, -3/7, 1, 3 Solve -2*h**2/5 - 386*h + 380688/5 = 0 for h. -1133, 168 Suppose b**3/5 - 5254*b**2/5 + 6916864*b/5 - 41312256/5 = 0. Calculate b. 6, 2624 Factor d**3 - 115*d**2 - 6241*d + 6355. (d - 155)*(d - 1)*(d + 41) Determine s so that 65*s**4 - 270*s**3 - 155*s**2 + 1200*s - 180 = 0. -2, 2/13, 3 Determine d so that -d**4/2 + 93*d**3/2 - 1931*d**2/2 - 7053*d/2 + 4446 = 0. -4, 1, 39, 57 Let 2*l**3/11 - 260468*l**2/11 + 770973440*l - 16960373824/11 = 0. Calculate l. 2, 65116 Find n such that -3*n**2/2 + 63351*n/2 + 63357 = 0. -2, 21119 Factor -2*m**2 + 4390*m + 13188. -2*(m - 2198)*(m + 3) Solve 2*x**5/11 - 112*x**4 - 11192*x**3/11 - 36172*x**2/11 - 48714*x/11 - 22500/11 = 0. -3, -2, -1, 625 Suppose 2*g**4/9 + 890*g**3/3 - 70772*g**2/9 = 0. What is g? -1361, 0, 26 Let 3*c**4 - 222*c**3 - 9429*c**2 - 34956*c - 34020 = 0. What is c? -27, -2, 105 Factor -2*g**3/7 - 1298*g**2/7 + 7874*g/7 + 1310. -2*(g - 7)*(g + 1)*(g + 655)/7 Determine p, given that -p**5/2 - 491*p**4/2 - 10907*p**3/2 - 67045*p**2/2 - 28314*p = 0. -468, -11, -1, 0 Factor -3*b**2/5 - 1375*b - 4582/5. -(b + 2291)*(3*b + 2)/5 Factor -5*l**2 - 7055*l + 28300. -5*(l - 4)*(l + 1415) Factor -y**2 + 387*y + 5614. -(y - 401)*(y + 14) Suppose 3*y**3/4 - 783*y**2/4 - 75*y/4 + 19575/4 = 0. Calculate y. -5, 5, 261 Solve -2*y**2/5 + 1694*y/5 - 70876 = 0. 377, 470 Factor k**2/2 + 1853*k/4 + 11925. (k + 900)*(2*k + 53)/4 Suppose -2*u**5/11 + 30906*u**4/11 - 119413028*u**3/11 + 118949448*u**2/11 + 1672091824*u/11 - 2865171648/11 = 0. Calculate u. -4, 2, 3, 7726 Solve 4*j**4 + 580*j**3 - 600*j**2 - 2320*j + 2336 = 0 for j. -146, -2, 1, 2 Suppose q**3/5 + 46*q**2 - 1897*q/5 + 1666/5 = 0. Calculate q. -238, 1, 7 Determine n, given that 8*n**2 + 282628*n + 141312 = 0. -35328, -1/2 What is t in -3*t**4 - 51*t**3 - 186*t**2 - 48*t + 288 = 0? -12, -4, -2, 1 Let -14*w**5 + 5218*w**4 - 477476*w**3 - 1642352*w**2 + 1549120*w + 565504 = 0. Calculate w. -4, -2/7, 1, 188 Let -p**2/4 + 19*p/4 - 39/2 = 0. What is p? 6, 13 Factor 12*m**3 - 1312*m**2 + 10028*m + 7272. 4*(m - 101)*(m - 9)*(3*m + 2) What is b in 84*b**4 + 2344*b**3 + 1876*b**2 - 4736*b + 432 = 0? -27, -2, 2/21, 1 Solve -5*p**5/2 + 5*p**4 + 2705*p**3/2 + 8725*p**2 + 9360*p - 19440 = 0. -18, -4, 1, 27 Factor -2*d**2/5 - 52*d/5 + 462/5. -2*(d - 7)*(d + 33)/5 Determine k, given that 3*k**5/8 - 921*k**4/8 + 1815*k**3/8 + 4593*k**2/8 - 2745*k/4 = 0. -2, 0, 1, 3, 305 Factor 2*y**3 + 396*y**2 + 19200*y - 40000. 2*(y - 2)*(y + 100)**2 Factor 2*r**2/3 + 16062*r + 96364/3. 2*(r + 2)*(r + 24091)/3 Factor -3*h**2 - 129*h - 570. -3*(h + 5)*(h + 38) Solve -8*w**5 -
{ "pile_set_name": "DM Mathematics" }
at is the nearest to -1 in b, a, 2? a Let j = -21641 - -21641.3. What is the closest to -2 in 1/3, -0.006, j? -0.006 Let g be 0/((-5)/(-15) - ((-77)/3)/(-11)). Which is the closest to -40? (a) 1/5 (b) g (c) -4 (d) -0.1 c Let x = 15 - 15. Let s = 11.2 - 10.7. Which is the nearest to x? (a) -0.2 (b) -1 (c) s a Let r be 2 - (4/42)/((-11)/(-264)). Let z = -4 + 4.1. Which is the nearest to -2/7? (a) r (b) 2/9 (c) z a Let l = 3.49 + -7.8. Let s = -4.11 - l. Let b be ((-2)/(-2))/(3/2). What is the closest to -4 in s, 5, b? s Let j = 13508 - 13505. Which is the nearest to 0.1? (a) -7/16 (b) 4/3 (c) j (d) -2/15 d Let j(q) = 4*q**2 + 7*q + 12. Let m be j(-5). Let g be m/(-84) + (-4)/(-6). Let p = 3.205 - 3.005. Which is the nearest to g? (a) p (b) -4 (c) 2/5 a Let o = 17591 - 228685/13. Which is the nearest to 2? (a) -0.3 (b) -5 (c) o c Let c = 10522/205 + -2088/41. What is the nearest to c in -1.4, 2/9, 1, 0? 2/9 Let d be (-529)/(-1380) + 15/(-300). What is the nearest to 122 in -3, d, 4? 4 Suppose -83*l + 86*l = -6. Let p be ((-10)/(-3) - 70/(-105))/l. What is the nearest to -0.1 in 1/5, -35, p? 1/5 Let q be (440/50 + -10)*25/20. What is the closest to 0.2 in 1, q, 0.12? 0.12 Let t = -12.63 + 1.53. Let w = -1.1 - t. Let n be 1 + -1 - (-2)/(-7). What is the closest to w in n, -1/5, -0.3? -1/5 Let a = 2325 + -16125/7. Suppose -22 = 3*k - 2*k. Let q = k + a. What is the closest to -3 in -1/4, -4, q? -4 Let u = 630/23 - 6884/253. Let s be 156/(-65) - -3*1. Let f = -28 - -111/4. Which is the nearest to s? (a) u (b) 0 (c) f a Let m = -2855 - -2852. What is the nearest to 7 in 3, -0.4, m, -0.1? 3 Let u be ((-4)/(-5))/((-792)/(-330)). Let y = 27167/8 + -3386. Let n = y - 10. Which is the closest to u? (a) -2 (b) 1.4 (c) n c Let y = 391 + -386. Let j = 1.93 - -0.07. Which is the nearest to -0.3? (a) j (b) y (c) 3/8 c Let s = -28163 - -28163. What is the nearest to -2/7 in -15, 85, s, -5/3? s Let t = 7510.428 + -7510. Which is the closest to 0? (a) -2 (b) 5 (c) t c Suppose -f - 2*z = -15, 50*z - 52*z + 18 = 0. Which is the nearest to f? (a) 6/13 (b) -5 (c) -4 (d) 3 c Let s = 44 - 44.223. Let b = 1.223 + s. What is the closest to 1/15 in -0.5, b, 4? -0.5 Let m = 0.4 - 0.3. Let i = -63.5 + -11.5. Let d = i - -77. What is the nearest to d in 3, m, 2? 2 Let v be (-20)/3*12/(-8). Let a = 690.8 + -691. What is the closest to a in v, 0.5, 2? 0.5 Suppose 0*u - 4 = -u, -2*l - 5*u = -40. Let f be (-12)/5 - (7 - l). Which is the nearest to 1? (a) f (b) 3 (c) 4/11 a Let u = 93.3 + -117.11. Let z = u + -0.19. Let h = -19 - z. Which is the nearest to -2/37? (a) 0.5 (b) -0.1 (c) h b Let v be (-2)/42 - 2/(-6). Let l = 1650 - 1650. Let k = 32 - 36. Which is the nearest to l? (a) v (b) -0.12 (c) k b Let z = -28 + 28.4. Let w be (6/(-308))/(5/(-10)). Let g = w + -25/77. What is the closest to 2 in -2/13, g, z? z Suppose -101*o - 25*o = 10*o + 29*o. What is the closest to 2/9 in 0.2, 0.137, o? 0.2 Let f = -7 - -15. Let y be 155/20 - (-2)/f. Let p = -1292.5 - -1287.5. What is the nearest to 0 in y, p, 0.3? 0.3 Let y = 33615 + -33618. What is the closest to 1 in -280, -2, y? -2 Let s = -0.1415 - 4.8585. Let l = -25.4 + 22. Let u = l + 3. What is the nearest to 0 in s, 3, u? u Let t = -2048 - -2052. What is the closest to 0.2 in 12, t, 3? 3 Let z = -7677 - -7687. Which is the nearest to -0.6? (a) 1/6 (b) 0.3 (c) -0.3 (d) z c Let b = -34937/104775 + 4/34925. Let m = 11/10 - 7/10. What is the closest to b in m, -0.01, 5? -0.01 Suppose -3*a + 3*r + 3 = 0, -13 = -5*a + 3*r - 2. Let t = -10918 + 10920. What is the closest to -2 in a, -0.15, t? -0.15 Suppose 0 = -4*l + 5*q + 31, -10*q + 4 = 3*l - 11*q. What is the nearest to 2 in 149, l, -4? l Let h = 1105 - 1107. Which is the closest to 0.81? (a) h (b) 1/4 (c) 0.5 (d) -0.5 c Let i = 3 + -5. Let l = -45774 - -45770. Which is the closest to l? (a) -3 (b) i (c) 1/3 a Let m = -7 - -7. Let i = 3/1438 + -361/719. Which is the closest to m? (a) i (b) -1/5 (c) -1.2 b Let t = 1/11 - -7/44. Let w(q) = -3*q**2 - 195*q - 587. Let v be w(-62). Which is the nearest to t? (a) -0.3 (b) v (c) -2/3 a Let v = 86.1 - 86. Let q = 0.3963 - -0.0037. Which is the closest to v? (a) -0.3 (b) q (c) 5 b Let w = -53.1 + 53. Let r = -340/489 + 14/489. What is the nearest to w in -2, r, -5/6, -0.3? -0.3 Let j = 0.0316 + 0.7244. Let o = j - 4.756. Which is the nearest to 2/7? (a) o (b) -0.1 (c) -0.4 (d) 0 d Let k be (-348)/176 + (-3 - -2) + 3. Let h = k + -93/220. Let i = -260 - -260.1. Which is the nearest to h? (a) i (b) -3 (c) 3/8 a Let k = 377.04 + -8.04. Let p = -367 + k. Let f = -30 - -149/5. Which is the closest to p? (a) 4 (b) -1/4 (c) f a Let o = 6454 - 6454.1. Which is the nearest to o? (a) -1/4 (b) 0.5 (c) 10 (d) 3 a Let i = 0.01915 - 0.11915. Which is the nearest to i? (a) 2/23 (b) 4 (c) -21 a Let l = 11.79 - 12. Let w(g) = 2*g**3 + 12*g**2 + 12*g. Let z be w(-1). Which is the closest to z? (a) -0.4 (b) 3/2 (c) l a Let y = 20 - 12. Let r = -8 - -8. Let g = -679 + 680. Which is the nearest to 0.1? (a) g (b) r (c) y b Let k = -20.48 + 2.38. Let p = 18 + k. Let f = 671 - 670.5. Which is the nearest to p? (a) 0.4 (b) f (c) -2/21 c Let w(v) = -v**3 - 16*v**2 + 45*v + 18. Let n be w(-20). Let y = n - 719. Let m = -0.1 - 0.4. What is the closest to y in m, 0.05, -4? m Let v = -119.15 - -1.25. Let a = -118 - v. Let c = -17 - -12. What is the nearest to a in -6, c, -1/6? -1/6 Let u = -1.7832 + -0.0568. Let m = u - -1.89. What is the closest to -19 in -1/4, m, -4/5? -4/5 Let v be 1 + -1 + (-2)/5. Let i = -1934.5 - -1934. Let o = -122/45 + 19/9. What is the closest to -29 in v, i, o? o Let s = 15 - 12. Let v = -296.3 - -296. Which is the nearest to -1/7? (a) -1 (b) v (c) s b Let m be 1/(((-26)/8)/(22/44)). Which is the closest to 1? (a) -1/7 (b) -114 (c) m a Let i = 0.094 + 54.906. Let w = 155 - 100.5. Let z = i - w. What is the closest to -1 in z, -0.4, 0? -0.4 Let s be 9 + 18/(-12)*2. Let v be (((-18)/(-63))/(3/21))/s. Let r be (1/28)/(3/6). Which is the closest to v? (a) 1 (b) r (c) 0 b Let x = 69.9 - 69.7. What is the closest to 2/3 in x, -80, 0.5, 20? 0.5 Let s be ((-1050)/90 - -11)*(-27)/(-24)*2. Let r = -6.143 - -0.043. Let h = r - -1.1. Which is the nearest to s? (a) h (b) -3/5 (c) 1/4 b Let v = 107.683 - 107.72. Which is the nearest to -2/3? (a) 7/5 (b) -4 (c) -2/9 (d) v c Let s = 67 + -68.59. Let x = s + -0.41. Which is the nearest to -0.9? (a) x (b) 3/8 (c) 0.5 a Let s be (3 + 196/(-60))*27/(-12). Which is the nearest to 192? (a) -0.3 (b) s (c) 2/7 b Suppose 0 = -6*r + 2*r + 2*z + 1596, -z + 1590 = 4*r. Let w = r - 395. Let g = -7 - -4. Which is the closest to w? (a) -2/17 (b) -4 (c) g a Let t = 795 - 297. Let w = -495 + t. What is the nearest to w in -5, 1/12, 2, 3/2? 2 Let z = -11901 + 11905. What is the nearest to 1 in -24/11, z, -0.15? -0.15 Let i = -0.03 + 0.13. Let m(g) = -18*g - 22. Let u be m(-9). Let r = u - 835/6. Which is the closest to -1? (a) -3 (b) r (c) i c Let l = -0.1 + -1.9. Let b = 97.9 + -98. Let c = 84705/7 + -12101. What is the closest to b in -5, c, l? c Suppose 0 = 17393*o - 17432*o - 117. Let w = 2 + -1. Which is the nearest to w? (a) 3 (b) o (c) -0.2 (d) -0.3 c Let u be (4/(-6))/(16/(-12)). Let k = -6846 - -6853. Which is the nearest to u? (a) 3 (b) -1 (c) k b Let u = 2 - 11. Let i = 0 - u. Let x = 61.76 + -57.76. What is the nearest to -1 in x, 0.1, i? 0.1 Let w = -1/2261 + 1544267/9044. Let a = 170 - w. What is the nearest to 0.2 in -2, a, -4? a Let o = -0.05145 + 7.05145. Which is the closest to -2? (a) 0.4 (b) o (c) -5 (d) 4 a Let i = -14 + 9. Let j = -1.9 + -2.1. Let m = 1.275 - -1.725. Which is the closest to 0.2? (a) i (b) j (c) m c Let q = 0.106 + 47.894. Let v = q - 177. Let w = v + 137. Which is the nearest to w? (a) 5 (b) -4 (c) -5 a Suppose l + 0*m - 5*m + 17 = 0, l = m - 1. Let w = -307 + -809. Let r = 1116.11 + w. Which is the nearest to l? (a) 0 (b) -0.5 (c) r c Let g = 28 + -30. Let o = 2.8 + g. Let y = o - 3.8. What is the closest to -0.4 in 1, y, -1? -1 Let r be 3/(-56)*((-6015)/(-855) + -7). What is the closest to -2/7 in r, 2, 0.3? r Let w = -16468 + 16468. Let l = -3.1 -
{ "pile_set_name": "DM Mathematics" }
Suppose m = 5*h + 5*m - 8, -5*m = 3*h - 10. Let b = -514 + 2578/5. Suppose -2/5*u**3 - b*u**2 - 8/5*u + h = 0. What is u? -2, 0 Suppose -2*i + 0 = -6. What is o in -3*o**2 + 2*o**i - 4 + 6 + o**2 - 2*o = 0? -1, 1 Let z(i) be the third derivative of -i**6/40 + 9*i**5/20 - 27*i**4/8 + 27*i**3/2 - 16*i**2. Solve z(g) = 0. 3 Let v be (-4 - 0)*1/(-1). Suppose 0*y - y = -2. Factor f**4 - 4*f**v + 2*f**2 + y*f**3 - 3*f**3. -f**2*(f + 1)*(3*f - 2) Let x(z) be the third derivative of -z**7/105 + z**2. Suppose x(p) = 0. Calculate p. 0 Let h(k) = 5*k**4 + 4*k**3 + 4*k**2 + 4*k + 4. Let w(r) = -6*r**4 - 5*r**3 - 5*r**2 - 5*r - 5. Let j(u) = -5*h(u) - 4*w(u). Factor j(l). -l**4 Let f(q) be the third derivative of -q**7/735 + q**6/140 - q**5/105 - 43*q**2. Suppose f(l) = 0. Calculate l. 0, 1, 2 Let g(h) = 4*h**4 + 4*h**3. Let t be -3*(2 + -5 + 0). Let f(m) = 17*m**4 + 17*m**3. Let s(r) = t*g(r) - 2*f(r). Suppose s(u) = 0. Calculate u. -1, 0 Let o(y) = y**2 - 9*y + 9. Let s be o(8). Let l be (-4)/((-2)/s)*2. Factor -10*i**3 - 7*i + 6*i - i**5 + l*i**3 + 4*i**2 + 4*i**4. -i*(i - 1)**4 Suppose -4*f = 5*h + 51, -2*h + 2*f - 4 - 2 = 0. Let k be ((-1)/14)/(h/224). Factor k - 40/7*b + 36/7*b**2 + 2/7*b**4 - 2*b**3. 2*(b - 2)**3*(b - 1)/7 Let v(l) be the first derivative of l**4/12 + l**3/6 + 8*l + 3. Let z(x) be the first derivative of v(x). Find t such that z(t) = 0. -1, 0 Suppose -2*w - 3*w + 20 = 0. Factor 4 - w - o + o**2. o*(o - 1) Let c(t) be the first derivative of -t**5/20 - t**4/8 - t**3/12 + 3. Factor c(x). -x**2*(x + 1)**2/4 Factor 4/3*a**2 + 8/3*a + 0. 4*a*(a + 2)/3 Suppose -2*r = -4*j - r + 5, 0 = -3*j + 3*r - 3. Factor 3*u**2 + 0*u**2 - 5*u + j - 2*u**2 + 2*u. (u - 2)*(u - 1) Let z(g) be the first derivative of -2*g**3/15 - 2*g**2 - 10*g - 5. Let z(r) = 0. What is r? -5 Factor 12/5 + 0*s - 3/5*s**3 - 9/5*s**2. -3*(s - 1)*(s + 2)**2/5 Let h = 605 - 2871/5. Find r, given that -h*r**2 - 8/5 + 64/5*r + 98/5*r**3 = 0. 2/7, 1 Factor 27/7*z**4 + 3/7*z**5 + 48/7 + 144/7*z + 96/7*z**3 + 24*z**2. 3*(z + 1)*(z + 2)**4/7 Let f(j) be the third derivative of 1/40*j**5 + 0 + 0*j - 1/8*j**4 - 6*j**2 + 0*j**3. Solve f(s) = 0. 0, 2 Let g(l) be the second derivative of -l**4/15 - 2*l**3/15 + 4*l**2/5 + 2*l - 10. What is r in g(r) = 0? -2, 1 Let c be (14/4 - 2)/(2/4). Let s(t) be the second derivative of 1/2*t**4 + t**c - 2*t + t**2 + 1/10*t**5 + 0. Suppose s(v) = 0. What is v? -1 Let o = 881/15 - 214/3. Let m = o + 13. What is z in -4/5 - m*z + 8/5*z**2 + 6/5*z**3 = 0? -1, 2/3 Let y be 2*(-1)/6*9. Let b = y - -4. Factor b - x**4 - 4*x**3 + 4*x**2 - 3 - x**4 + 2*x + 2*x**5. 2*(x - 1)**3*(x + 1)**2 Let u(s) = 7*s**4 + 3*s**3 + 5*s**2 + 9*s + 5. Let a(b) = b**4 - b**3 - b**2 + b + 1. Let v(j) = 5*a(j) - u(j). Suppose v(i) = 0. What is i? -2, -1, 0 Let r = 59 - 117/2. Factor 0*u**3 + 0 - 1/2*u**4 + r*u**2 + 0*u. -u**2*(u - 1)*(u + 1)/2 Suppose w - 4 = 4*t - 0*t, -2 = -4*w + 2*t. Let b(f) be the third derivative of f**2 - 1/60*f**5 + w*f + 1/6*f**3 + 0*f**4 + 0. Factor b(i). -(i - 1)*(i + 1) Let c(k) be the first derivative of 11*k**5/5 - 35*k**4/4 + 13*k**3 - 17*k**2/2 + 2*k + 11. Factor c(f). (f - 1)**3*(11*f - 2) Let c = -950/3 + 318. Let v = 10/21 - 1/7. Factor 0 + c*d**2 - 4/3*d - v*d**3. -d*(d - 2)**2/3 Suppose -30*t + 54 = -3*t. Factor -4/9*u - 2/9*u**t + 0. -2*u*(u + 2)/9 Solve 0 + 2/3*n**5 + 0*n**2 + 0*n**4 + 2/3*n - 4/3*n**3 = 0. -1, 0, 1 Let y = 3086 + -21869/7. Let z = y - -39. Suppose 2/7 + z*u**2 + 6/7*u + 2/7*u**3 = 0. What is u? -1 Suppose 14 = -2*s - 4*i - 0*i, 8 = s - i. Determine m, given that 1/4 - 1/4*m**s - 1/4*m**2 + 1/4*m = 0. -1, 1 Let l(j) be the third derivative of j**8/546 - j**7/195 - 3*j**6/130 + 2*j**5/195 + 7*j**4/78 + j**3/13 + 12*j**2. Solve l(b) = 0 for b. -1, -1/4, 1, 3 Suppose -23 = 3*x + 2*i + 2*i, -5*i - 24 = -x. Let d be (-12 + 14)/(x/(-2)). Factor -1/5*m**5 + 0 + 0*m - 3/5*m**3 + 1/5*m**2 + 3/5*m**d. -m**2*(m - 1)**3/5 What is h in -1 + 4*h**5 - 28*h**3 - 4*h**2 + 4 + 1 + 12*h**5 + 12*h = 0? -1, -1/2, 1 Let o be (-49)/(-14)*12/14. Let x(u) be the first derivative of 2*u + 11/2*u**2 + 3*u**o - 3. Factor x(q). (q + 1)*(9*q + 2) Let v(y) be the first derivative of -y**4/6 - 2*y**3/3 + y - 3. Let x(p) be the first derivative of v(p). Determine i, given that x(i) = 0. -2, 0 Factor -2/3 - 4/3*x**2 + 3*x. -(x - 2)*(4*x - 1)/3 Let b(w) be the second derivative of 0*w**5 - 1/12*w**3 + 1/30*w**6 - 1/12*w**4 + 1/84*w**7 + 0 + 3*w + 0*w**2. Factor b(c). c*(c - 1)*(c + 1)**3/2 Let f(g) be the first derivative of 25*g**3/3 - 65*g**2/2 - 30*g - 28. Factor f(q). 5*(q - 3)*(5*q + 2) Let y(q) = q**2 - 6*q + 11. Let d be y(5). Let c(f) = f**3 - 5*f**2 - 8*f + 12. Let t be c(d). What is k in 4/3*k**2 + 10/3*k**3 + t*k + 0 - 14/3*k**4 = 0? -2/7, 0, 1 Let f(g) be the first derivative of 2*g**5/5 - 5*g**4 + 24*g**3 - 54*g**2 + 54*g + 13. Factor f(r). 2*(r - 3)**3*(r - 1) Let y = 753/7 + -107. Factor y*j**3 - 6/7*j**5 - 10/7*j**4 + 0*j + 0*j**2 + 0. -2*j**3*(j + 2)*(3*j - 1)/7 Let l = 10 - 10. Let w(t) be the second derivative of -2*t - 1/15*t**6 - 4/63*t**7 + 1/6*t**4 + 1/6*t**5 + 0 - 1/9*t**3 + l*t**2. Find n such that w(n) = 0. -1, 0, 1/4, 1 Suppose z - 4 = -w - 1, 26 = 4*z - 3*w. Let l(g) be the second derivative of 0*g**2 + 0 + 0*g**4 + 0*g**3 + 1/20*g**z - g. Factor l(d). d**3 Let a(u) be the second derivative of 7/4*u**3 + 0 + u + 3/8*u**5 + 1/20*u**6 + 3/2*u**2 + 9/8*u**4. Factor a(z). 3*(z + 1)**3*(z + 2)/2 Let k(y) = -y**3 - y**2. Let m(q) = -q**4 - 2*q**3 - 4*q**2. Let j(h) = -4*k(h) + m(h). Solve j(f) = 0. 0, 2 Let c(d) be the first derivative of -5*d**7/189 - 7*d**6/135 - d**5/45 - 5*d - 7. Let w(a) be the first derivative of c(a). Factor w(p). -2*p**3*(p + 1)*(5*p + 2)/9 Solve 0 + 16/3*u**4 + 8/3*u**2 + 20/3*u**3 + 4/3*u**5 + 0*u = 0. -2, -1, 0 Let h(x) be the first derivative of -2*x**5/25 + 11*x**4/5 - 94*x**3/5 + 44*x**2 - 40*x + 13. Factor h(f). -2*(f - 10)**2*(f - 1)**2/5 Let z(v) be the second derivative of v + 1/30*v**5 + 0*v**3 + 0 + 1/6*v**2 - 1/12*v**4. Suppose z(p) = 0. Calculate p. -1/2, 1 Factor 0*o - 8/9*o**4 + 7/9*o**3 - 2/9*o**2 + 0 + 1/3*o**5. o**2*(o - 1)**2*(3*o - 2)/9 Let d(m) be the second derivative of 0*m**3 - 1/168*m**7 + 0 - 1/40*m**6 - 1/48*m**4 + 5*m - 3/80*m**5 + 0*m**2. What is l in d(l) = 0? -1, 0 Let x = -9/2 + 6. Factor 0 + 5/2*c**2 + 7/2*c**3 + x*c**4 + 1/2*c. c*(c + 1)**2*(3*c + 1)/2 Let n = -171 - -859/5. Factor 0*a**2 - 2/5*a**5 + 0 - 2/5*a**3 + n*a**4 + 0*a. -2*a**3*(a - 1)**2/5 Suppose -s - 4 = -5*s. Let i = s + 1. What is a in 3*a + 0 - 3/2*a**i = 0? 0, 2 Suppose 0*d**4 + 0 + 0*d**2 + 2/5*d**5 - 4/5*d**3 + 2/5*d = 0. Calculate d. -1, 0, 1 Let r(b) be the second derivative of -4*b**5/5 - b**4/3 - 7*b. Factor r(z). -4*z**2*(4*z + 1) Let r(d) = 3*d**2 + 2*d - 1. Let u(v) = 5*v**2 + 4*v - 1. Let a(s) = -7*r(s) + 4*u(s). Let l be a(3). Factor l*x - 1/3*x**2 + 1/3. -(x - 1)*(x + 1)/3 Let d(a) be the first derivative of 2*a**3/3 + 4*a**2/5 - 2*a/5 - 3. Suppose d(z) = 0. Calculate z. -1, 1/5 Let w = -1 - -2. Let l = 5 + -6. Let x(g) = -2*g**2 + g + 2. Let z(h) = h. Let v(t) = l*z(t) + w*x(t). Factor v(s). -2*(s - 1)*(s + 1) Let s = -3698/67 + -181479/469. Let c = s - -443. Determine b, given that -8/7*b**3 + 2/7*b + 0 - c*b**2 = 0. -1, 0, 1/4 Factor 15*s**2 + 6*s**3 + s - 36*s**2 + 2*s + 12*s**2. 3*s*(s - 1)*(2*s - 1) Factor 3/2*b**2 - 1 + 1/2*b. (b + 1)*(3*b - 2)/2 Let z be (7 + -5)/((-12)/21). Let m = z + 4. Factor -1/2*j**2 + 0 - j + m*j**3. j*(j - 2)*(j + 1)/2 Factor -2/15*r**4 + 0 + 0*r**3 + 0*r + 0*r**2. -2*r**4/15 Let j(b) = -2*b**3 + b**2 - b. Let f(x) = 5*x**4 - 60*x**3 + 70*x**2 - 45*x. Let m(d) = -f(d) + 15*j(d). Factor m(i). -5*i*(i - 3)*(i - 2)*(i - 1) Let y(p) be the second derivative of p**4/12 + p**3/3 + p**2/2 + 3*p. Let y(z) = 0. Calculate z. -1 Let k = 199/3 - 66. Suppose 0*w - 2*w = 0. Solve -1/3*t**2 + w*t + k = 0. -1, 1 Let c(m) = m + 3. Let d be c(-3). Let q = 1/258 + 343/258. Determine l so that d - 4/3*l**4 + 2/3*l**5 + 0*l**3 + q*l**2 - 2/3*l = 0. -1, 0, 1 Let i(b) be the third derivative of b**8/1008 + b**7/630 - 3*b**2. Find j, given that i(j) = 0. -1, 0 Let v = -30 - -64. Suppose 0 = -5*o + v + 11. What is z in 9*z - 2*z**5 - 2*z**4 - o*z = 0? -1, 0 Factor -4/7*o**2 + 0 - 2/7*o**
{ "pile_set_name": "DM Mathematics" }
se -m - 92 - 46 = 0. What is the common denominator of -2 + 4 + m/240 and ((-639)/6 - 0)/12? 40 Let p = -23984 - -479791/20. Find the common denominator of p and -19/16. 80 Let m(c) = 11*c + 80. Let o = 59 - 65. What is the smallest common multiple of m(o) and 12? 84 Let q be ((-44)/(-10))/(2/(-10)). Let c = -26 - q. Calculate the lowest common multiple of 1 and (1 + -2)*(c + -3). 7 Calculate the common denominator of (39/26)/((-9)/(-56)) and (8/(-20))/(28/(-485)). 42 Let b = 89993/14 - 6425. Find the common denominator of b and (-356)/(-46)*(-4)/32. 644 Let t = 74 - 92. Suppose 0 = 4*k - 2*u + 35 - 121, -3*u + 80 = 5*k. Let x = t + k. Calculate the least common multiple of x and 3. 3 Suppose 4 + 4 = -4*r. Calculate the common denominator of (-18)/(-70)*(-1547)/34 and (45/(-6))/(r/(-3)). 20 Suppose 0 = 2*f + 3*p - 5, 5*f - 2*p - 10 - 12 = 0. What is the common denominator of 14/9 and 53/2*(-1)/f? 72 Suppose l - c + 53 = 0, -5*c - 184 = 3*l - 33. Let o = 56 + l. Suppose 4*x - 8 = 20. What is the smallest common multiple of x and o? 28 Suppose 3*j - 5*y = -174 - 366, -3*j - 540 = -y. Calculate the common denominator of -4 + 8 + 3/(j/(-111)) and -47/26. 260 Suppose -42 - 738 = -6*b. Let h = 715437/88 - 66083/8. Let k = h + b. Calculate the common denominator of 3/20 and k. 220 Suppose -5*z = 4 + 6. Let w be (92804/(-80))/(z/(-12)). Let s = w + 6969. Find the common denominator of 99/10 and s. 10 Let k = -12 + 9. Let a = 8 + k. Suppose 2*x - 3*b = -11 + 28, 4*b + 60 = a*x. Calculate the least common multiple of 18 and x. 144 Let g(i) = -2*i**3 - 2*i**2 + 2*i - 4. Let v be g(-3). Calculate the common denominator of 98/30*39/v and 63/10. 10 Suppose 9 - 17 = -4*v. Suppose o = -g + 8, -4*o + v*o = 5*g - 40. What is the least common multiple of (-4)/(1 + (-5)/3) and g? 24 Suppose 2*f = -s + 13, 4*s - s = -2*f + 51. Let l = -7 + s. Calculate the smallest common multiple of l and 7. 84 Let s = -9 - -12. Suppose p = -3*p + 48. What is the least common multiple of s*((-560)/12)/(-7) and p? 60 Let u(f) = 4*f**2 + 4*f + 1. Let i be 1*(-4 - -3)*1. What is the smallest common multiple of u(i) and 1? 1 What is the smallest common multiple of -1 + 1 - 5*330/(-25) and 192? 2112 Let p = -3 + 33. Suppose -137 = -5*y - 4*b, 0 = 9*b - 12*b + 9. Find the common denominator of 59/5 and (-104)/15*y/p. 45 Let b = -18284/9 + 2027. What is the common denominator of b and 60/(-7) + (-54)/(-126)? 63 Let o = -36027/8 - -4495. What is the common denominator of o and -1/4? 8 Let m = 4 + -2. Suppose -s + 1 - 124 = -4*o, o - 34 = -3*s. What is the common denominator of o and 1/m + (-92)/(-72)? 9 Let m be 26/13 - (-1 + 3). Suppose -4*p - 911 = -5*p - 3*f, 5*f - 5 = m. Find the common denominator of -69/14 and p/48 + 1/4. 42 Let r be (6/8)/((-90)/(-30620)). Let i = r - 256. Calculate the common denominator of i and -19/49. 294 Let d(u) = 22*u - 12. Calculate the lowest common multiple of d(3) and 9. 54 Let o(r) = 4*r**2 + 29*r - 14. Calculate the lowest common multiple of 17 and o(-8). 170 Let n = -3/932 - 13469/13980. Find the common denominator of -8/21 and n. 210 Let n = 2 + 6. Suppose f - 2*f = 0. Suppose -4*u + f = 3*i - 19, -5*u = -i - 19. What is the lowest common multiple of i and n? 8 Let j = -1452623/12 - -120981. Let y = 187/4 + j. Find the common denominator of 47 and y. 6 Let l = 55 + -31. What is the least common multiple of l and 16? 48 Let n = -166151/20 + 8311. What is the common denominator of (206/624)/((-3)/(-9)) and n? 520 Suppose 4*o - 420 = -5*l, -2 = 5*o + 23. Let w = -43 + l. Let d = -31 + w. Calculate the lowest common multiple of d and 18. 126 Let n = 228983/18 + -12718. What is the common denominator of n and -87/1636? 14724 Find the common denominator of (6/(-516))/((-6)/((-1608)/20)) and -52/11. 4730 Suppose 2*w - 65 = -5. Let j = 42 - w. Calculate the lowest common multiple of 11 and j. 132 Let g = 939/1441 + -2/131. Let v = g + 167/66. What is the common denominator of v and -23/8? 24 Let l = 1034 - 914. Calculate the smallest common multiple of 180 and l. 360 Calculate the common denominator of 83/6 and -4*231/(-280) + (-1)/(-2). 30 Suppose 103 = -3*w - x, w + x = 3*w + 67. Calculate the common denominator of w and -2 - (2 + 28/(-9)). 9 Let p = -528266513/200160180 + -46/1614195. Let q = -187/93 + p. Find the common denominator of q and (-27)/(-2 - (-72)/3). 220 Let i = -14 + 8. Calculate the smallest common multiple of 5 + (-5)/((-15)/(-9)) and i/9*(-31 + -2). 22 Suppose -13*l + 40 = -8*l. What is the least common multiple of 144 and l? 144 Let a = -4/1203 - 16393/14436. Calculate the common denominator of 69/4 and a. 36 Let j = -912 + 945. What is the smallest common multiple of 99 and j? 99 Let f be 142/882 + 20/(-90). Let t = -1109/294 + f. Find the common denominator of -58/9 and t. 18 Suppose -144 = -4*d - 4*w, 3*d - 101 = -0*d + 4*w. What is the lowest common multiple of d and 20? 140 Let o be 2*3/(-12)*-4. Suppose o*x - 14 = 2. What is the smallest common multiple of x and 5? 40 Suppose 414*y = 423*y - 9729. Calculate the lowest common multiple of y and 5. 5405 Let z be 2 + ((-13988)/1360 - 4). Let b = z + -1/68. Find the common denominator of 32/5 and b. 10 Let o = -77/60 + 1/180. Suppose 3*m = 2*m + 6. Calculate the common denominator of 5 - m - 83/6 and o. 18 Let y = -5856 + 5864. Suppose 2*w = -0*w + 14. What is the least common multiple of y and w? 56 Let h = -79 + 91. Suppose -2*i = -i - 18. What is the smallest common multiple of i and h? 36 Let m = 27 + -51. What is the lowest common multiple of m/(-20) - ((-12)/(-20))/3 and (-6 + -1)/((-2)/2)? 7 Suppose -4*u + 1870 = -2*v, -3716 = 4*v - 5*u + 3*u. Let a = -132 - v. Calculate the common denominator of 7/20 and (-5)/75*a/18. 180 Let r be ((-1473)/(-6))/(9/(-233)) + 2. Let v = r + 6360. Calculate the common denominator of 91/18 and v. 18 Suppose 5*q - 63 = -2*c, -3*c - 3*q + 117 = -0*q. What is the smallest common multiple of c and 22? 44 Let r = -336 - -341. What is the smallest common multiple of r and 13? 65 Find the common denominator of (420/14)/(-10) - 1262/(-444) and -97/4. 444 Let g(c) = c**3 - 5*c**2 - 6*c + 2. What is the smallest common multiple of 18 and g(6)? 18 Let w(l) = -6*l**2 - l + 2. Let u be w(-2). Let a = 19 + u. Calculate the common denominator of -19/11 and a - (-2 - (-117)/24). 88 Suppose 3*m - 8*m + 4*l = -447, 0 = 3*m + 5*l - 246. What is the smallest common multiple of m and 7? 609 Suppose -23*r + 649 = 235. Calculate the least common multiple of 177 and r. 1062 Let b = -36 + 21. Let r = -2404 - -47959/20. What is the common denominator of (-54)/144*14/b and r? 20 Suppose 1 + 29 = 5*h. Let u = 385 + -375. What is the lowest common multiple of h and u? 30 Let x = 14 + -6. Let h = 18 + -42. Calculate the lowest common multiple of x and 66/(-8)*(0 - h/(-9)). 88 Let y = 2937 - 281983/96. What is the common denominator of y and 17/24? 96 Let x = 4056 - 377. Let m be (1 - 1964*3)/x. Let u = 4/283 - m. Calculate the common denominator of -8 and u. 13 Let l(c) = c**2 - 5*c - 11. Let y be l(8). Suppose -4*j + 12 = k - 2, -18 = -k - 2*j. Suppose 5*z = y + k. Calculate the smallest common multiple of 3 and z. 21 Suppose 4*w + 2*x + 80 = -0*x, -5*w + x - 114 = 0. Find the common denominator of (-10)/(-12)*(-73)/10 and ((-9)/(-18))/(w/(-42)). 132 Suppose y = -5*j + 2*y - 5, -y = 4*j + 4. Suppose -57*q = -59*q + 8. What is the lowest common multiple of q and j/2 + 9/2? 4 Let h(m) = 9 - 2*m + 5 - 7. Let z be h(5). What is the common denominator of -101/22 and z/12 - (-55)/(-50)? 220 Calculate the smallest common multiple of 54 and (-60)/(-270) - (-320)/18. 54 What is the common denominator of 23/46 + (-1 - 58/(-48)) and -1/18? 72 Suppose 0 = 8*n + 7*n - 330. Calculate the lowest common multiple of n and 8. 88 Let l(t) = -4*t**3 - 3*t**2 + 3*t. Let a be l(1). Let u = 16 - a. Calculate the smallest common multiple of u and 22. 220 Suppose 0*w + 3*w - 45546 = 0. Let v = -273389/18 + w. Find the common denominator of 97/16 and v. 144 Let x = -18/2195 - 50967/48290. What is the common denominator of -13/2 and x? 110 Let a = 16 - 11. Calculate the least common multiple of a and 275. 275 Let i = -41191/7230 - 2/723. Calculate the common denominator of -29/55 and i. 110 Calcul
{ "pile_set_name": "DM Mathematics" }
nd 49/60. 60 Calculate the common denominator of -83/18 and -33/10. 90 What is the least common multiple of 35 and 4? 140 What is the common denominator of 107/10186 and -75/926? 10186 Find the common denominator of -25/63 and 47/3024. 3024 What is the least common multiple of 1914 and 22? 1914 What is the common denominator of 55/111 and -46/15059? 45177 What is the common denominator of 109/420 and 37/1932? 9660 Find the common denominator of -33/530 and 43/7. 3710 Calculate the smallest common multiple of 651 and 124. 2604 Calculate the common denominator of -93/20 and 10/11. 220 Calculate the common denominator of -85/6356 and 23/26. 82628 What is the least common multiple of 15 and 14? 210 Find the common denominator of 59/230 and -93/5152. 25760 Find the common denominator of -43/343 and -39/539. 3773 Calculate the least common multiple of 100 and 4900. 4900 Calculate the lowest common multiple of 204 and 6. 204 Find the common denominator of 19/8628 and 29/8. 17256 What is the smallest common multiple of 81 and 324? 324 Calculate the smallest common multiple of 127 and 6. 762 What is the least common multiple of 32 and 3840? 3840 Calculate the lowest common multiple of 3 and 24. 24 What is the common denominator of 22/9 and -163/570? 1710 Calculate the common denominator of 5/168 and -89/182. 2184 What is the common denominator of 28/267 and -15/356? 1068 What is the least common multiple of 9 and 16211? 145899 What is the common denominator of 31/5628 and -47/4? 5628 What is the common denominator of 63/4156 and -31/4? 4156 Calculate the lowest common multiple of 12 and 318. 636 What is the lowest common multiple of 508 and 8? 1016 What is the least common multiple of 9 and 57? 171 What is the smallest common multiple of 390 and 500? 19500 Find the common denominator of 45/136 and -43/184. 3128 Calculate the common denominator of 69/100 and 5/38. 1900 Find the common denominator of 14/855 and 94/285. 855 What is the common denominator of -73/576 and -109/2304? 2304 Calculate the common denominator of -49/10 and 131/1540. 1540 Calculate the lowest common multiple of 110 and 30. 330 Calculate the lowest common multiple of 48 and 276. 1104 Calculate the lowest common multiple of 900 and 4. 900 Find the common denominator of -22/357 and -74/945. 16065 What is the common denominator of 73/27 and -76/129? 1161 What is the lowest common multiple of 80 and 1540? 6160 What is the common denominator of -83/32 and 3/68? 544 Find the common denominator of -56/99 and 15/29. 2871 Calculate the common denominator of 121/70 and -64/165. 2310 Calculate the lowest common multiple of 168 and 624. 4368 Calculate the least common multiple of 21 and 3. 21 What is the lowest common multiple of 292 and 20? 1460 Calculate the common denominator of -5/654 and -31/8. 2616 What is the least common multiple of 6 and 195? 390 What is the common denominator of 67/60 and -23/2172? 10860 Find the common denominator of 77/15 and -2/123. 615 Calculate the smallest common multiple of 2272 and 12. 6816 Calculate the common denominator of -109/280 and 71/8. 280 Calculate the smallest common multiple of 1512 and 84. 1512 Calculate the smallest common multiple of 751 and 2. 1502 Find the common denominator of -127/380 and -73/10. 380 Calculate the lowest common multiple of 8 and 428. 856 Find the common denominator of -41/36 and -77/30. 180 What is the common denominator of 80/1449 and -93/10? 14490 Find the common denominator of 53/12 and 65/112. 336 What is the least common multiple of 42 and 1008? 1008 What is the common denominator of -23/159 and 161/30? 1590 What is the smallest common multiple of 680 and 20? 680 Calculate the least common multiple of 328 and 123. 984 Calculate the smallest common multiple of 744 and 1896. 58776 Calculate the least common multiple of 80 and 165. 2640 Calculate the least common multiple of 7 and 417. 2919 What is the common denominator of 51/22 and -57/202? 2222 Find the common denominator of -47/438 and 63/146. 438 What is the common denominator of 99/20 and -81/8? 40 What is the least common multiple of 3600 and 640? 28800 Calculate the common denominator of 73/22 and -29/132. 132 Calculate the lowest common multiple of 85 and 1. 85 Calculate the lowest common multiple of 15 and 51. 255 Calculate the least common multiple of 10692 and 6804. 74844 Calculate the common denominator of 103/532 and -53/56. 1064 What is the common denominator of 1/2 and -3/304? 304 Calculate the common denominator of -173/168 and -53/98. 1176 What is the common denominator of 55/12 and 15/1754? 10524 Find the common denominator of 41/27 and -32/105. 945 What is the common denominator of 111/196 and 89/196? 196 Find the common denominator of -31/6 and 97/444. 444 What is the least common multiple of 268 and 268? 268 Calculate the smallest common multiple of 108 and 126. 756 Find the common denominator of -62/183 and 34/9. 549 Find the common denominator of -33/38 and -59/498. 9462 Calculate the least common multiple of 50 and 20. 100 Find the common denominator of -23/20 and 55/2. 20 Calculate the common denominator of -47/10 and -36/185. 370 Calculate the lowest common multiple of 4873 and 22. 9746 What is the lowest common multiple of 786 and 524? 1572 What is the least common multiple of 60 and 24? 120 What is the common denominator of -77/52 and 7/117? 468 What is the common denominator of -7/480 and 53/2? 480 What is the lowest common multiple of 60 and 8? 120 What is the lowest common multiple of 130 and 845? 1690 Calculate the lowest common multiple of 2960 and 2590. 20720 What is the least common multiple of 382 and 13? 4966 Calculate the smallest common multiple of 76 and 266. 532 Calculate the common denominator of -5/2 and 23/4. 4 What is the common denominator of 63/55 and 57/2510? 27610 Calculate the common denominator of -61/2868 and -23/22. 31548 Calculate the lowest common multiple of 25 and 50. 50 What is the common denominator of -113/54 and -70/297? 594 Calculate the least common multiple of 4 and 226. 452 Calculate the common denominator of 9/154 and -3/112. 1232 What is the least common multiple of 9 and 459? 459 Calculate the common denominator of 89/168 and 41/184. 3864 Find the common denominator of -71/260 and 45/286. 2860 What is the smallest common multiple of 26 and 1? 26 What is the common denominator of 45/281 and 43/5? 1405 Calculate the common denominator of 74/123 and -52/33. 1353 Calculate the least common multiple of 6 and 13648. 40944 Calculate the common denominator of -17/25 and -34/135. 675 What is the least common multiple of 89 and 10? 890 Calculate the common denominator of 13/32 and 65/192. 192 Calculate the smallest common multiple of 7976 and 8. 7976 Calculate the least common multiple of 28 and 728. 728 What is the lowest common multiple of 4213 and 766? 8426 What is the smallest common multiple of 9 and 642? 1926 What is the common denominator of -173/7590 and 101/2760? 30360 Calculate the common denominator of 27/170 and -97/2720. 2720 What is the common denominator of 71/1840 and -99/644? 12880 What is the lowest common multiple of 30 and 9? 90 What is the common denominator of -93/34 and 87/14? 238 What is the common denominator of -91/68 and 17/22? 748 What is the lowest common multiple of 1428 and 10? 7140 Calculate the common denominator of -9/536 and -63/10. 2680 What is the common denominator of -17/100 and 31/20? 100 What is the lowest common multiple of 21 and 99? 693 What is the least common multiple of 42 and 132? 924 Calculate the least common multiple of 78 and 91. 546 What is the least common multiple of 16 and 72? 144 Calculate the common denominator of 79/48 and -157/156. 624 Calculate the common denominator of -13/6 and 5/726. 726 Calculate the common denominator of -45/11 and -1/242. 242 Calculate the lowest common multiple of 744 and 150. 18600 Calculate the least common multiple of 341 and 713. 7843 What is the common denominator of -43/363 and -32/33? 363 Calculate the least common multiple of 2352 and 588. 2352 Calculate the lowest common multiple of 206 and 8. 824 Calculate the common denominator of 12 and -25/6619. 6619 Calculate the smallest common multiple of 348 and 68. 5916 Calcu
{ "pile_set_name": "DM Mathematics" }
d) 2 d Which is the nearest to 2/5? (a) -18 (b) 2 (c) -2 b Which is the closest to 1? (a) 0 (b) 0.5 (c) -255 b Which is the closest to 0? (a) 3 (b) -1 (c) -33 b What is the closest to 1 in -0.2, 4, -107, 0.3? 0.3 Which is the closest to 2/9? (a) 6 (b) -1/5 (c) -3/11 (d) 5 b Which is the closest to 2/3? (a) 1/3 (b) 0 (c) -26 a What is the nearest to -0.2 in 4, -6, 0.7? 0.7 What is the nearest to -0.1 in -5, -1.4, -2, 4/3? -1.4 What is the closest to 2/3 in -1, 1/2, -5, 0.2? 1/2 What is the nearest to -1/2 in 5, 2243, 0? 0 What is the nearest to 5 in -1/8, -2/7, -1/4, -70? -1/8 What is the closest to -1 in -0.2, 4, 1, 0.0442? -0.2 Which is the nearest to 4? (a) 2 (b) -0.2 (c) 2/17 (d) -0.06 a Which is the closest to 0? (a) 1 (b) 4 (c) -229 (d) -3/4 d What is the closest to 23 in -0.5, -0.4, -11, 0.1? 0.1 What is the nearest to -694 in -1/2, 2/3, -0.1, 1? -1/2 Which is the closest to 9? (a) -6/5 (b) -9 (c) -3/10 c Which is the closest to 2/3? (a) 0.4 (b) 3 (c) 0.1 a Which is the closest to 1? (a) -1 (b) 11 (c) 0.1 (d) -0.3 c What is the nearest to 0.1 in -2/3, -4/3, 0.059, -3? 0.059 Which is the nearest to 1? (a) -6 (b) -1 (c) 3/4 c What is the nearest to -0.1 in 3, -1, 0.4, 1.1? 0.4 Which is the closest to 6? (a) -1/4 (b) 6 (c) -0.3 (d) 5/14 b What is the nearest to 1/4 in 2/13, 6, 71? 2/13 What is the closest to 13 in -3/8, 0.5, 2/17, 1/5? 0.5 What is the nearest to 1 in 0.1, 5, 4734? 0.1 What is the closest to 2 in 2/29, 2/13, 4? 2/13 Which is the closest to -24? (a) 0.2 (b) -0.4 (c) 2 (d) -4/5 d What is the nearest to 1 in -0.3, -14, 2/5? 2/5 Which is the closest to -5? (a) 2 (b) 14 (c) -2/3 (d) 0.4 c Which is the nearest to -56? (a) 2/43 (b) -3 (c) 0.1 (d) 2 b What is the nearest to -3 in -2/9, 2, -4.59? -4.59 Which is the closest to 2? (a) -20 (b) -6 (c) -3 c Which is the nearest to -1? (a) 24/5 (b) -2 (c) 4 (d) -4 b Which is the closest to 0.6? (a) -8 (b) -0.5 (c) 0.4 (d) 0.5 d Which is the nearest to 0.1? (a) -2/9 (b) -18 (c) -1.3 (d) 3/4 a What is the nearest to 1 in -5/8, -2, -8/9? -5/8 Which is the nearest to 2? (a) 4 (b) -5 (c) 78 a What is the nearest to -1 in -12681, 0, 0.2? 0 What is the nearest to 2/7 in 0.1, 0, 4, -7/5? 0.1 Which is the nearest to -1/5? (a) 7 (b) -13 (c) 4 c What is the nearest to -1 in -0.4, 2/19, 0.2, -4? -0.4 What is the closest to -0.1 in 0, 1.1, 0.02, -3? 0 What is the nearest to -1.86 in 2/5, -1/19, 5? -1/19 Which is the nearest to -3? (a) 2 (b) -2/3 (c) 0.3 (d) -2/7 b What is the closest to 0.1 in 5, 0.4, -5, -0.101? -0.101 Which is the nearest to -2/5? (a) 7 (b) 0.1 (c) -2 b Which is the nearest to -6? (a) -1/5 (b) 23/5 (c) 10 a What is the closest to -1 in -5, 0.04, 0.2? 0.04 Which is the closest to -2? (a) 26/5 (b) 0.3 (c) 4 (d) -2 d Which is the nearest to -0.2? (a) 26 (b) 3 (c) 2/7 (d) 0 d Which is the nearest to -1? (a) -2/7 (b) 1/2 (c) -81 (d) 1 a What is the nearest to 2/3 in -3/2, 1/5, 1/7, 2? 1/5 Which is the nearest to -0.1? (a) -0.5 (b) 0.2 (c) 1/4 (d) 0 d What is the closest to -1 in -1/3, 2, 5/4, -1? -1 What is the nearest to 3/7 in 0.5, 1/5, 0, 5? 0.5 Which is the closest to 13? (a) -2/9 (b) 0.2 (c) 6 c What is the nearest to 0.1 in -2, 4/5, -11, -1? 4/5 What is the closest to -2/5 in 0, 4/7, 5, 2/5? 0 Which is the closest to 1/7? (a) -5 (b) -4 (c) 470 (d) -1/2 d What is the closest to 0.1 in -5, -19, 0.1, 0.3? 0.1 Which is the closest to 1? (a) -5 (b) -1 (c) -1/7 c What is the closest to 0 in -1, 3/4, -2, -1/7? -1/7 Which is the closest to -1? (a) 0.051 (b) -2/7 (c) -2 b Which is the closest to 0? (a) -4/7 (b) 3.6 (c) -2/5 (d) 0.34 d Which is the closest to -1.6? (a) 0 (b) -2 (c) 2 (d) -2/9 b Which is the closest to -1/3? (a) 1 (b) -0.024 (c) 2/19 b Which is the closest to 3/4? (a) -3 (b) -7 (c) 1/6 c What is the closest to -1 in -2, -4, -0.06, -0.1? -0.1 What is the closest to 1/2 in -709, -2/7, -5? -2/7 Which is the closest to 0.03? (a) -0.4 (b) -2 (c) -4.6 (d) -0.2 d Which is the nearest to 5? (a) -0.2 (b) -2 (c) 0.03 c What is the closest to 10.6 in -0.4, 2, -2/3, -4/7? 2 What is the nearest to -0.1 in -0.5, -1, 0.16? 0.16 What is the closest to 4/5 in -8, -1.1, -0.3? -0.3 Which is the nearest to 1/2? (a) 3 (b) -0.4 (c) -5/2 (d) -3 b What is the closest to 426 in 0.5, 1, 3? 3 Which is the closest to 0? (a) 5 (b) 1/3 (c) 4 (d) -0.1 d Which is the closest to 1/4? (a) -1 (b) -6 (c) -6/5 a Which is the nearest to -76? (a) 1 (b) -0.1 (c) -0.3 c What is the nearest to -0.2 in 0, -0.3, 0.5? -0.3 What is the closest to 2/15 in -0.09, 4, 0? 0 What is the closest to 2 in 8, 15, 3? 3 What is the nearest to -9 in -4, -3/7, 1/4? -4 Which is the closest to 4/11? (a) 2/3 (b) -3 (c) -2 (d) -1/4 a Which is the closest to -2/5? (a) -31 (b) 10/3 (c) 0.4 c Which is the closest to 0.06? (a) 3/2 (b) -5 (c) 3 (d) 5 a What is the closest to 0 in 4, -2/9, -1/9, 0? 0 Which is the nearest to 2? (a) 2 (b) -0.2 (c) 2.6 a Which is the closest to 1? (a) -4/3 (b) 0.04 (c) 0.2 (d) -2 c Which is the nearest to 6? (a) -1 (b) -1/8 (c) -3 (d) 0.4 d What is the nearest to 0.1 in -6, -4, -1/3, 6? -1/3 Which is the closest to 0? (a) -1/2 (b) -4/9 (c) 0.14 c What is the closest to -1/2 in 6/11, 14/5, -0.2? -0.2 What is the nearest to -2/7 in 2/7, 0.03, 62, 0.4? 0.03 Which is the closest to -1/2? (a) -2/7 (b) 8 (c) -3/4 a Which is the nearest to 2/3? (a) -0.2 (b) -2 (c) -5 a Which is the closest to 25? (a) 2/21 (b) -3 (c) -13 a Which is the closest to 3? (a) 4/7 (b) 0.1 (c) -0.3 (d) -2 a What is the nearest to -98/9 in 5, -0.15, -4? -4 What is the nearest to -0.1 in 0.2, -0.1, 0.037? -0.1 What is the nearest to 2 in -3, 0.4, -1/4, -0.08? 0.4 What is the nearest to -0.1 in 18, 0.1, -1/6, -2/9? -1/6 Which is the closest to 2? (a) -0.03 (b) 0 (c) -4.5 (d) 0.5 d What is the closest to -0.1 in 1, 2/7, 0.01, -2/79? -2/79 Which is the nearest to 8? (a) 4 (b) 2 (c) -5/4 (d) -5/6 a What is the nearest to -1/2 in 0.08, 1.4, -4? 0.08 Which is the nearest to 22? (a) -2/9 (b) 2 (c) -1/5 b What is the nearest to 2/37 in 0.1, 0, -5, 2/11? 0.1 What is the closest to 5/12 in 1, -0.1, -6, -1/4? -0.1 What is the closest to 1/2 in -0.3, 1, 2/21? 2/21 Which is the nearest to 1.64? (a) 2/9 (b) -2/3 (c) -5 (d) 2/3 d What is the nearest to 0 in 1, 18, 3/5? 3/5 What is the closest to 1 in 1/3, -2/3, 5, 1? 1 What is the closest to 1 in -4, 1/7, 2/5, 4? 2/5 What is the nearest to -2/11 in -0.5, 4, 46, -0.3? -0.3 Which is the nearest to 64? (a) -1 (b) -10 (c) -0.4 c What is the nearest to -0.1 in 20, -0.5, -1, 2/5? -0.5 Which is the nearest to -2/7? (a) -0.2 (b) 13/9 (c) 4 a What is the nearest to -3 in -2/17, -13/3, 0.4? -13/3 Which is the closest to 1/4? (a) -3/25 (b) 0.4 (c) -2/5 b Which is the nearest to 1? (a) -2 (b) -70 (c) 0 c Which is the nearest to -1? (a) 2 (b) -0.01 (c) -5 (d) 4 b Which is the nearest to -2/19? (a) 3 (b) -2/9 (c) -1.4 b What is the closest to -5 in -1, -3, -0.22? -3 What is the nearest to -26 in 27, 2/7, -1? -1 Which is the nearest to 0.1? (a) -1 (b) -2/23 (c) 1/3 (d) -0.14 b What is the nearest to -5 in -2/5, -1/2, 1/4, 0.5? -1/2 Which is the nearest to 1/4? (a) 0 (b) 2/119 (c) -1/5 b What is the closest to -10 in -0.1, 0.2, 0? -0.1 Which is the nearest to 0.1? (a) 0.2 (b) -18 (c) 0.075 (d) 5 c Which is the closest to 0? (a) -0.05 (b) 2 (c) -138 a What is the nearest to -6 in -3/4, 0.5, -71, -0.5? -3/4 Which is the closest to 23? (a) -0.04 (b) -3 (c) -5 a What is the closest to 3/17 in 8, 2, 4? 2 What is the closest to -0.1 in -2/17, 7/5, -0.4, 0? -2/17 Which is the closest to 2? (a) 2/13 (b) -0.2 (c) 0.28 c What is the closest to 15 in -4, 4, -0.1, 0? 4 What is the closest to 0.1 in -0.06, -2, 3? -0.06 Which is the nearest to -5? (a) -5 (b) -1 (c) -3/2 (d) 0.1 a What is the closest to 3 in 1/3, -2/11, 5, -3? 5 Which is the closest to -2? (a) 0.05 (b) -3/2 (c) -2 (d) -0.2 c Which is the nearest to -2? (a) -1 (b) -0.8 (c) -5 (d) 0.3 a Which is the closest to -91? (a) -10 (b) -1 (c) 0 a What is the closest to -2 in -2/7, 1/4, 0, -1? -1 What is the closest to 0.1 in -16, -4,
{ "pile_set_name": "DM Mathematics" }
**5 - 2*o**4 + 306256*o**2 wrt o. -61380*o**2 - 48*o Find the second derivative of -636*i**2*s**2 + 58408*i**2*s - i - 91*s**2 wrt s. -1272*i**2 - 182 What is the first derivative of -3*i**2*q**3 - 44*i**2*q - 5*q**3 - 3*q**2 + 406*q wrt i? -6*i*q**3 - 88*i*q Find the third derivative of -3*k**6*s**2 + 4771*k**6*s + 302*k**2 + 65*k*s**2 - s wrt k. -360*k**3*s**2 + 572520*k**3*s What is the derivative of -12550*q**2 - 3*q - 105102 wrt q? -25100*q - 3 Differentiate -19498*k*m**2 + 14*k - 132 with respect to m. -38996*k*m What is the third derivative of -42*g*p**2*x**2 + 2*g*p**2*x - 3929*g*p*x**3 - 2*g*p*x**2 - g*x**2 + 102*g - 3*p**2*x**3 - 2*x**3 wrt x? -23574*g*p - 18*p**2 - 12 Find the third derivative of -6*z**6 + 2702*z**5 + 805*z**2 - 20*z wrt z. -720*z**3 + 162120*z**2 Find the second derivative of -2*g**3*m**5 - 2*g**3*m + 2*g**3 + 5*g + 31967*m**5 + 35*m wrt m. -40*g**3*m**3 + 639340*m**3 Differentiate -19*n*z**3 + 3*n*z**2 + 11*n*z + 6*n + 2*z**3 - 6*z**2 + 8*z - 105 with respect to n. -19*z**3 + 3*z**2 + 11*z + 6 Find the second derivative of -91*b**3*l**2 + b**3*l + 1699*b**2*l - 4*b - 142*l**2 + l wrt l. -182*b**3 - 284 Find the third derivative of 3*a*x**6 - 19849*a*x**4 + 9*a*x**2 - 437*a wrt x. 360*a*x**3 - 476376*a*x What is the derivative of -9*d**3*t + 12*d**2 - 3*d + 34032*t wrt d? -27*d**2*t + 24*d - 3 What is the third derivative of -3*k**6 + 31025*k**3 + 76049*k**2 wrt k? -360*k**3 + 186150 What is the first derivative of 678*d**2*t**2 + 23*d**2*t - 3*d*t**2 - 733013*t**2 wrt d? 1356*d*t**2 + 46*d*t - 3*t**2 Differentiate 130351*b*i**3 + b + 23*i**3 + 10*i**2 - 8*i - 7 wrt b. 130351*i**3 + 1 What is the third derivative of -29*b*c**4 + 31*b*c**3 + 2*b - 10*c**4 + c**2 + 4*c - 231 wrt c? -696*b*c + 186*b - 240*c Find the second derivative of -4911*o**4 - 29*o**2*v**2 - 2*o*v**2 - 3*o*v + 273*o + 2*v**2 + 2*v wrt o. -58932*o**2 - 58*v**2 Find the second derivative of -12961*d**2*p**3 - d*p**3 + 1126*p**2 + 9 wrt d. -25922*p**3 What is the third derivative of 89314*o**5*r**2 - 30*o**2*r**2 - 1706*o**2 wrt o? 5358840*o**2*r**2 Find the second derivative of 222*m**5*t + m**3 + m**2*t - 2*m**2 + 5*m*t - 10*m - 5*t - 12 wrt m. 4440*m**3*t + 6*m + 2*t - 4 Differentiate 548872*d*q - 130*d + 222 wrt q. 548872*d Find the second derivative of -1391*o**4 + 23*o**3 + 3*o**2 - 142596*o. -16692*o**2 + 138*o + 6 Differentiate 7460*r**2 + 2*r - 31852 wrt r. 14920*r + 2 Find the third derivative of 1879985*y**4 + 2*y**2 + 33621*y + 1 wrt y. 45119640*y What is the third derivative of q**4 - 644517*q**3 + 20*q**2 - 9206*q wrt q? 24*q - 3867102 Differentiate -12109*o**2 - 36211 wrt o. -24218*o What is the third derivative of -1552225*n**3 + 930851*n**2 wrt n? -9313350 Find the third derivative of 23765*g**6 - 39*g**2 - 2*g + 101. 2851800*g**3 Find the third derivative of -p**4*v**3 - 57*p**3*v**2 + 560*p**3 + 5*p**2*v**3 + 92*v**3 - v**2 wrt p. -24*p*v**3 - 342*v**2 + 3360 What is the third derivative of 9160*q**2*z**3 + q**2*z**2 - 38528*q*z**2 - 2*z**4 wrt z? 54960*q**2 - 48*z Find the third derivative of -12302*m**3*z**3 - 2*m**3*z**2 - 51*m**2*z**3 - 2136182*z**2 wrt z. -73812*m**3 - 306*m**2 Differentiate 890772*k**2 + k*u**3 - 449222*u**3 wrt k. 1781544*k + u**3 Find the second derivative of 145194*r**4 + 167561*r. 1742328*r**2 What is the second derivative of 16*k**3*v + k**2*s**2*v - 64*k**2*v + 23*k*s*v - 10*s**2 - 16*v wrt k? 96*k*v + 2*s**2*v - 128*v Find the first derivative of 3*d*q*u**2 - 13995*d + 232155*q*u**2 + u**2 wrt q. 3*d*u**2 + 232155*u**2 Find the second derivative of -1208*i**4*w**2 - 83*i**4 - 17*i*w**2 + 47*i*w + 13*i + 2*w**2 - 1 wrt i. -14496*i**2*w**2 - 996*i**2 Differentiate -32155*m**2 - 261126. -64310*m Differentiate 316*c**2*i**3*n - 298481*c**2*i**3 + 2*c**2*i - 6929*c*i**3*n wrt n. 316*c**2*i**3 - 6929*c*i**3 Find the third derivative of -4*b**4 - 45049*b**3 + 7665*b**2 - 15*b. -96*b - 270294 Differentiate -3*d**2*q**2 + 678*d**2*q - 17323*d**2 + d wrt q. -6*d**2*q + 678*d**2 Find the first derivative of -f*x**4 - 37*f*x**3 + 706*f + 17*x**2 wrt x. -4*f*x**3 - 111*f*x**2 + 34*x What is the second derivative of -1772573*o**5 + 4708187*o + 1? -35451460*o**3 What is the derivative of -292856*d - 27449 wrt d? -292856 Find the third derivative of 664284*a**2*r**4 - a**2*r**2 - 204*a - 19*r wrt r. 15942816*a**2*r What is the second derivative of 180*g**2*q**2 - 619*g**2*q + 344*g*q**5 - 71*g*q + 2*g wrt q? 360*g**2 + 6880*g*q**3 Find the second derivative of 13656*i*k**2*t + 3*i*k*t**2 - 128*i*k - 2*i*t - 3*k**2*t**2 + 4*t wrt k. 27312*i*t - 6*t**2 Find the second derivative of -717676*v**2 + 155431*v. -1435352 Differentiate 498430*d + 1250245 with respect to d. 498430 What is the derivative of 58*c**2*x**3 - 32339*c**2 + 432*c*x**3 wrt x? 174*c**2*x**2 + 1296*c*x**2 Find the first derivative of 1790370*p**3 + 1809830 wrt p. 5371110*p**2 What is the third derivative of 428880*m**3*z + 1770*m**2 - 259*m*z wrt m? 2573280*z Find the third derivative of 2*o**6*v**2 + 71414*o**4*v**3 + 43*o**2*v - o**2 + 20*v**3 - v wrt o. 240*o**3*v**2 + 1713936*o*v**3 What is the third derivative of 3*m**3*o**2 + 3*m**3*o - 213*m**3 + 203*m**2*o**2 + 2*m**2 - 207*m*o + 2*o**2 wrt m? 18*o**2 + 18*o - 1278 Find the third derivative of -119374*d**2*j**5 - 3*d**2*j - 11*d**2 - 46*d*j**2 + j**4 + 3*j wrt j. -7162440*d**2*j**2 + 24*j What is the third derivative of -50432*m**3*t**3 - 2*m**3*t - m**2*t**2 - 4136*m*t**2 wrt t? -302592*m**3 What is the derivative of -8881*r**2*u + 8783*r**2 - r + 5*u + 2 wrt u? -8881*r**2 + 5 Differentiate 106*q*s*w**3 + 4*q*s*w - 2538*q*w**3 - 13*s*w**3 - 3*w**3 with respect to s. 106*q*w**3 + 4*q*w - 13*w**3 Find the first derivative of r*t**2 + 1710*r*t - 58034*r - 16*t**3 wrt t. 2*r*t + 1710*r - 48*t**2 Find the third derivative of -1161*p**6 - 1412*p**2 - 9. -139320*p**3 Find the third derivative of 3*w**3*x**2 + 23066*w**3*x + 7*w**3 + 8*w**2*x - 105487*x**2 wrt w. 18*x**2 + 138396*x + 42 What is the third derivative of 3278364*r**4 + 717897*r**2? 78680736*r Differentiate 51*c**3*y + 2*c**2 + 109*c*y**2 - 3*y**2 - 2*y - 4621 with respect to c. 153*c**2*y + 4*c + 109*y**2 What is the derivative of -3*l*s**2 - 5963*l*s*x**2 - 2*l*s - 2*l*x**2 - 14292*l*x + 2*x**2 wrt s? -6*l*s - 5963*l*x**2 - 2*l What is the derivative of 1021129*y - 481260 wrt y? 1021129 Find the second derivative of -126*w**5 - 1886*w**3 - 746082*w wrt w. -2520*w**3 - 11316*w Find the second derivative of -8*s**5*v - 19707*s**5 + 22029*s*v + 7*s wrt s. -160*s**3*v - 394140*s**3 What is the second derivative of -60360*l**4 - 9891*l wrt l? -724320*l**2 What is the second derivative of 465560*h*z**2 - 11*h*z - 6*h + 8*z + 12 wrt z? 931120*h What is the third derivative of -2611115*a**3*z - 2*a**2*z - 589865 wrt a? -15666690*z What is the second derivative of 2*v**2*y**3 - 669*v**2*y + 136*v**2 - 7070*v*y**3 + 11*v*y**2 - v + y**2 wrt v? 4*y**3 - 1338*y + 272 Find the third derivative of -7240*i**3*u**3 + 13*i**3*u + 30*i**3 + 70*i**2*u**4 - 2*i**2*u**2 - 2*i*u**2 + 9*i*u wrt u. -43440*i**3 + 1680*i**2*u What is the second derivative of -129463*s**3 - 8172*s + 1? -776778*s What is the third derivative of 795047*i**3 + 78*i**2 - 12*i + 84 wrt i? 4770282 What is the third derivative of -63*g**3*i**2 - 473*g**3 + 12*g**2 + 422*i**2 wrt g? -378*i**2 - 2838 What is the second derivative of 32512*f**2 + 3*f + 1083? 65024 What is the second derivative of 611*c**5 - 6*c**4 + 82393*c? 12220*c**3 - 72*c**2 Find the third derivative of 2*h**2*o**4 + 11*h**2*o**2*q - 2*h**2*o*q**2 - 28*h*o**2*q**2 + 74*o**4*q - 6*o**3*q**2 wrt o. 48*h**2*o + 1776*o*q - 36*q**2 What is the second derivative of 358*f**3*l**4 - 15*f**3*l - 2*f**3 - 11*f + 1641*l**2 - 15*l wrt l? 4296*f**3*l**2 + 3282 What is the second derivative of -326956*m**3*q**3 + 36829*m*q**3 - 2*m*q - 2*q**2 wrt m? -1961736*m*q**3 Find the third derivative of -4*n*u**4 + 2*n*u**3 - 80*n*u**2 + 2*n*u - 812*n - 2*u**4 - 6548*u**3 wrt u. -96*n*u + 12*n - 48*u - 39288 Find the second derivative of -68114*b**3 - 29666*b wrt b. -408684*b What is the third derivative of -1174*w**3*x + 25*w**3 + 159*w**2*x - 701*x wrt w? -7044*x + 150 What is the second derivative of -31526*q**4 - q - 19455 wrt q? -37
{ "pile_set_name": "DM Mathematics" }
h. 1/55 Two letters picked without replacement from ydyyyyyydyywssysdd. Give prob of picking 2 s. 1/51 Four letters picked without replacement from fwlffllzfwlffmwczwfl. Give prob of picking 1 l, 1 z, 1 m, and 1 c. 2/969 Calculate prob of picking 2 u and 1 o when three letters picked without replacement from ccujxco. 0 Two letters picked without replacement from zkjlkbl. What is prob of picking 1 l and 1 j? 2/21 What is prob of picking 2 r when two letters picked without replacement from {r: 4, e: 2, y: 2, c: 6, x: 3}? 3/68 Two letters picked without replacement from {l: 1, x: 2, u: 1, g: 1, r: 2}. Give prob of picking 1 g and 1 r. 2/21 Calculate prob of picking 1 x and 1 n when two letters picked without replacement from {m: 1, n: 7, x: 6, t: 6}. 21/95 What is prob of picking 3 n when three letters picked without replacement from vnnvnnvvnvvvnjv? 4/91 Three letters picked without replacement from gcfqfjgfffgfc. What is prob of picking 1 q, 1 f, and 1 j? 3/143 What is prob of picking 1 w, 1 n, and 1 g when three letters picked without replacement from {n: 1, w: 2, g: 2, m: 8}? 2/143 Four letters picked without replacement from vqvqvfvvgvfgfvq. Give prob of picking 3 q and 1 g. 2/1365 Three letters picked without replacement from mjejjjrrjmrjjrjmjrr. What is prob of picking 3 m? 1/969 Calculate prob of picking 2 b and 2 s when four letters picked without replacement from {b: 9, s: 7, h: 2}. 21/85 Calculate prob of picking 3 m when three letters picked without replacement from {m: 3}. 1 What is prob of picking 1 j and 1 b when two letters picked without replacement from bcbtcccjtjxb? 1/11 What is prob of picking 2 e when two letters picked without replacement from {e: 4, u: 2}? 2/5 Four letters picked without replacement from {l: 15, a: 4}. What is prob of picking 4 l? 455/1292 Two letters picked without replacement from {n: 3, f: 2, c: 3, x: 4, t: 6}. What is prob of picking 1 n and 1 f? 2/51 Calculate prob of picking 1 t and 1 w when two letters picked without replacement from wetetttettwte. 7/39 Three letters picked without replacement from {a: 2, z: 11}. What is prob of picking 2 z and 1 a? 5/13 Calculate prob of picking 1 m, 1 z, 1 k, and 1 b when four letters picked without replacement from ammzkzmmmmzmbzm. 32/1365 Two letters picked without replacement from hphwppprprpd. What is prob of picking 1 d and 1 h? 1/33 Three letters picked without replacement from xxgxgxpxxx. Give prob of picking 1 p, 1 g, and 1 x. 7/60 Two letters picked without replacement from {c: 1, j: 18}. Give prob of picking 2 j. 17/19 Two letters picked without replacement from eneqeheqlhqe. Give prob of picking 1 h and 1 n. 1/33 What is prob of picking 2 h and 1 j when three letters picked without replacement from pfojofhh? 1/56 What is prob of picking 3 f and 1 s when four letters picked without replacement from {f: 3, s: 4}? 4/35 Two letters picked without replacement from kkbkhxkbkbxfk. What is prob of picking 1 k and 1 x? 2/13 Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {r: 2, i: 9}. 18/55 Three letters picked without replacement from {w: 10, h: 10}. What is prob of picking 1 w and 2 h? 15/38 Two letters picked without replacement from {q: 1, o: 1, j: 1, k: 2, v: 2}. Give prob of picking 1 q and 1 k. 2/21 Calculate prob of picking 2 k and 1 y when three letters picked without replacement from {y: 1, s: 4, k: 3, l: 11}. 1/323 Three letters picked without replacement from {j: 3, x: 1, b: 4, h: 2, a: 6}. What is prob of picking 2 j and 1 a? 9/280 Three letters picked without replacement from {p: 2, u: 2, w: 2, g: 2}. What is prob of picking 1 w, 1 g, and 1 p? 1/7 Calculate prob of picking 1 d and 2 i when three letters picked without replacement from {d: 1, n: 10, i: 9}. 3/95 Four letters picked without replacement from ttutuuututtuttutuu. What is prob of picking 1 t and 3 u? 21/85 What is prob of picking 1 p, 2 j, and 1 v when four letters picked without replacement from jzpjusuv? 1/70 What is prob of picking 1 z and 1 q when two letters picked without replacement from qbbzzbzbbbqzr? 4/39 What is prob of picking 1 a, 1 h, and 1 z when three letters picked without replacement from shhsmaashaemzas? 12/455 What is prob of picking 1 b and 1 j when two letters picked without replacement from {i: 1, u: 1, b: 7, j: 5}? 5/13 Three letters picked without replacement from bjbjjjjjbjjjbbjj. Give prob of picking 3 b. 1/56 Calculate prob of picking 1 h and 3 x when four letters picked without replacement from llhllhlxxllxlllxhhll. 16/4845 Calculate prob of picking 2 a when two letters picked without replacement from aiyayayiiiaa. 5/33 What is prob of picking 3 q and 1 v when four letters picked without replacement from qadddqqqpvvqqa? 40/1001 Calculate prob of picking 1 t and 1 m when two letters picked without replacement from ttmtmt. 8/15 Three letters picked without replacement from zkqzpazazanazkn. What is prob of picking 1 q, 1 p, and 1 z? 1/91 Four letters picked without replacement from {q: 7, e: 1, r: 10, n: 1}. What is prob of picking 4 q? 35/3876 Two letters picked without replacement from {x: 6, e: 7}. Give prob of picking 2 e. 7/26 Three letters picked without replacement from ssojjbess. Give prob of picking 1 e and 2 s. 1/14 What is prob of picking 3 x and 1 m when four letters picked without replacement from xxmxxxm? 4/7 Two letters picked without replacement from {b: 3, w: 3, e: 5}. Give prob of picking 1 e and 1 w. 3/11 Calculate prob of picking 1 m, 1 d, and 1 e when three letters picked without replacement from mmdmzoeddkedzdd. 36/455 Calculate prob of picking 2 a and 1 n when three letters picked without replacement from {v: 4, n: 1, i: 5, a: 5, u: 1}. 1/56 Two letters picked without replacement from iiiiiwccicciii. Give prob of picking 1 w and 1 c. 4/91 Three letters picked without replacement from {r: 2, e: 1, b: 2, n: 1, x: 1}. Give prob of picking 1 b, 1 e, and 1 n. 2/35 Three letters picked without replacement from {g: 17, r: 3}. What is prob of picking 3 g? 34/57 Four letters picked without replacement from bbbbbbebbbbbbbbbee. Give prob of picking 3 e and 1 b. 1/204 Three letters picked without replacement from {u: 1, y: 3}. What is prob of picking 3 y? 1/4 Four letters picked without replacement from {z: 3, u: 7, i: 3}. Give prob of picking 2 i and 2 u. 63/715 Three letters picked without replacement from lmmmlmmmll. Give prob of picking 2 m and 1 l. 1/2 What is prob of picking 1 v, 1 b, and 2 f when four letters picked without replacement from fbbvbvbf? 4/35 Two letters picked without replacement from dydgddgggsggggs. Give prob of picking 1 s and 1 y. 2/105 Two letters picked without replacement from {d: 7, q: 9}. What is prob of picking 2 q? 3/10 Two letters picked without replacement from {j: 4, c: 2}. What is prob of picking 1 j and 1 c? 8/15 Two letters picked without replacement from cbcugccl. What is prob of picking 1 c and 1 u? 1/7 What is prob of picking 1 g, 1 x, and 1 h when three letters picked without replacement from hxjxpxxxxgxx? 2/55 Calculate prob of picking 1 t and 3 n when four letters picked without replacement from {b: 4, n: 2, x: 2, t: 1}. 0 Two letters picked without replacement from vvvfvvvvvvvvv. What is prob of picking 1 v and 1 f? 2/13 Calculate prob of picking 1 o and 1 n when two letters picked without replacement from noaouoonononuo. 4/13 Two letters picked without replacement from {g: 6, x: 4, d: 6, t: 2}. Give prob of picking 1 g and 1 d. 4/17 What is prob of picking 1 a and 1 n when two letters picked without replacement from fffffnaanffaa? 4/39 What is prob of picking 2 d when two letters picked without replacement from {d: 5, y: 4, v: 4, i: 1, k: 4, s: 1}? 10/171 What is prob of picking 2 t and 1 r when three letters picked without replacement from {r: 2, t: 17}? 16/57 Four letters picked without replacement from {h: 6, w: 3, o: 3, u: 1}. What is prob of picking 1 w, 2 h, and 1 u? 9/143 Four letters picked without replacement from {m: 2, i: 4, b: 3, l: 10}. What is prob of picking 2 m and 2 i? 1/646 Two letters picked without replacement from {k: 5, n: 3}. What is prob of picking 2 n? 3/28 Three letters picked without replacement from {y: 13, b: 1, q: 1}. Give prob of picki
{ "pile_set_name": "DM Mathematics" }
In base 7, what is 10044 - 151? 6563 In base 15, what is -e497a + 4? -e4976 In base 4, what is 3 - 33101303? -33101300 In base 11, what is 361 + -12608? -12257 In base 4, what is -11 + 331202111? 331202100 In base 2, what is 10 - -11011001101101? 11011001101111 In base 8, what is 7206 + -1376? 5610 In base 12, what is -b93 + -5? -b98 In base 13, what is 8b6 + -51b? 398 In base 9, what is -1528265 + 4? -1528261 In base 11, what is 21516 + -3? 21513 In base 12, what is 3a025b - -3? 3a0262 In base 8, what is -14 - -3221? 3205 In base 15, what is 5 - -485? 48a In base 9, what is -10231715 + 0? -10231715 In base 12, what is -2b37 - -9? -2b2a In base 11, what is a906 + 0? a906 In base 13, what is 8717 - -4? 871b In base 11, what is 15175aa + 3? 1517602 In base 2, what is 10111011 + -100111001100? -100100010001 In base 7, what is 124164 - -10? 124204 In base 12, what is 6689 + -2? 6687 In base 10, what is -3 - -26395? 26392 In base 8, what is -53 - 135424? -135477 In base 8, what is 3 + -260022? -260017 In base 9, what is 26 - 10254? -10227 In base 15, what is 3b97 - -1? 3b98 In base 6, what is -1125 - 2321? -3450 In base 15, what is 68326 - 3? 68323 In base 3, what is -12210120121 - -12? -12210120102 In base 4, what is 3 - 3020323? -3020320 In base 2, what is -1100111 - 1100110011? -1110011010 In base 2, what is 10010 + 1000100110100? 1000101000110 In base 15, what is -4 + -36b06? -36b0a In base 16, what is b2 - 237? -185 In base 6, what is 435 - 1015? -140 In base 13, what is -11b + 4b? -a0 In base 2, what is 101111 + 1111110011110? 1111111001101 In base 9, what is -15 - 24385? -24411 In base 8, what is -4 - 1166015? -1166021 In base 10, what is -200856 - 1? -200857 In base 7, what is -2 + 200621? 200616 In base 10, what is 37 - 19233? -19196 In base 6, what is -354102 - 115? -354221 In base 12, what is 770b4 + 13? 77107 In base 16, what is 7fc6 - 0? 7fc6 In base 4, what is -10 + 222002031? 222002021 In base 2, what is 1110 + -1101111010101? -1101111000111 In base 6, what is 4 - -213324? 213332 In base 9, what is 274207 - 3? 274204 In base 2, what is -1010011101010010 - 10011? -1010011101100101 In base 10, what is -13 + 52519? 52506 In base 9, what is 24833 - 5? 24827 In base 12, what is 1934 - 0? 1934 In base 11, what is 29a62 - 6? 29a57 In base 10, what is -382 + -7997? -8379 In base 11, what is -3 - 32306? -32309 In base 4, what is -32 + 211323230? 211323132 In base 2, what is 111001111 - 10010? 110111101 In base 13, what is 4 + 1131? 1135 In base 8, what is -327 + 61457? 61130 In base 10, what is 253 + -180? 73 In base 11, what is -31 + 105a9? 10578 In base 2, what is 100110100 + 10110000010? 11010110110 In base 16, what is -3d46 - a? -3d50 In base 10, what is 38 + -3987? -3949 In base 2, what is 101100110 - -11101? 110000011 In base 7, what is -1 - -40451? 40450 In base 13, what is a + -1013? -1006 In base 8, what is -1423 + 321? -1102 In base 2, what is 11101100 - -11010100? 111000000 In base 15, what is 14b31 + -5? 14b2b In base 5, what is 3034323 - 10? 3034313 In base 16, what is 7 + -870? -869 In base 12, what is -35 - -8a07? 8992 In base 13, what is -75876 - 3? -75879 In base 15, what is -b05 + -d? -b13 In base 5, what is -20141 - -13? -20123 In base 7, what is 5 - 56654? -56646 In base 3, what is 101 - -1010010100? 1010010201 In base 13, what is 1 - -a373? a374 In base 14, what is -1b6 - -237? 61 In base 16, what is -e - -2ac9? 2abb In base 2, what is -1111100110111 - 1000011? -1111101111010 In base 13, what is 2 - -53bb2c? 53bb31 In base 3, what is 210101 - 2200? 200201 In base 13, what is 1b - 321? -303 In base 2, what is -101111001100010 - 11? -101111001100101 In base 13, what is 29c9 + -178? 2851 In base 14, what is -5 - b95a6? -b95ab In base 12, what is -8780 - 51? -8811 In base 6, what is 10323440 + 1? 10323441 In base 3, what is -1101 - 211000? -212101 In base 8, what is 2 - 21125? -21123 In base 7, what is 60 + -13040? -12650 In base 10, what is -17703 - 21? -17724 In base 7, what is -214354 + 14? -214340 In base 15, what is 2c7 + -402? -12a In base 2, what is -1010 - -1110110000110000? 1110110000100110 In base 8, what is 0 + 7343? 7343 In base 8, what is -213 + -20111? -20324 In base 10, what is -35 + 156825? 156790 In base 15, what is -2a05 + -12? -2a17 In base 4, what is -1233320 + 201? -1233113 In base 10, what is 3 - 59262? -59259 In base 14, what is -4b5 + -21? -4d6 In base 13, what is -750 + -3? -753 In base 3, what is -12 - -102011102002? 102011101220 In base 10, what is 933 - 837? 96 In base 9, what is 2207 + -304? 1803 In base 10, what is 3275 + -86? 3189 In base 3, what is -120 - -2020020000? 2020012110 In base 16, what is 24 - 1d80? -1d5c In base 13, what is 41 + -4ca? -489 In base 12, what is -31 + 849? 818 In base 11, what is -106a + 83? -a97 In base 14, what is d8 + -6a? 6c In base 16, what is a - b204e? -b2044 In base 15, what is -3 + -2a20c? -2a210 In base 15, what is 7 - -151? 158 In base 13, what is -b0 + bc? c In base 12, what is -131794 + -9? -1317a1 In base 15, what is 6 - e6e? -e68 In base 12, what is 14 + 74916? 7492a In base 14, what is 80a + 686? 1092 In base 6, what is -15310541 + -2? -15310543 In base 4, what is 10 + 1222231300? 1222231310 In base 10, what is -56 - 7040? -7096 In base 7, what is -101044 + 3? -101041 In base 10, what is 2975 + 11? 2986 In base 15, what is 0 - -209d9c? 209d9c In base 4, what is 10 - -100023131? 100023201 In base 8, what is -61 - 34637? -34720 In base 10, what is 1701 + 78? 1779 In base 13, what is 7602 - 3? 75cc In base 12, what is -1 + -5508? -5509 In base 15, what is -19 - -35529? 35510 In base 7, what is 1532 + 34062? 35624 In base 16, what is -8 - -2927? 291f In base 7, what is 650061 + 6? 650100 In base 13, what is -765b3 + 12? -765a1 In base 3, what is -222 - -111220111? 111212112 In base 7, what is -345 + -4132? -4510 In base 11, what is 11 - 793? -782 In base 7, what is 46130 + -126? 46001 In base 12, what is -131a7 - -3? -131a4 In base 5, what is -1021230 - 120? -1021400 In base 15, what is -528a + -3? -528d In base 6, what is -121211 - 5? -121220 In base 9, what is 777 + -268? 508 In base 10, what is -2869 + 454? -2415 In base 5, what is 100 - -143342? 143442 In base 16, what is -10659 - 49? -106a2 In base 7, what is 6 - 1124004? -1123665 In base 4, what is 121200 + -32? 121102 In base 5, what is 242322 - 30? 242242 In base 2, what is 0 + -10100110010? -10100110010 In base 7, what is 553206 - 3? 553203 In base 2, what is -1111011100101 + 111111? -1111010100110 In base 12, what is -2 + -5428? -542a In base 2, what is -1011000100101 - 0? -1011000100101 In base 13, what is 129 + 1c72? 209b In base 15, what is 2d8c5 + -9? 2d8bb In base 14, what is 6 - -123c? 1244 In base 13, what is -a006 - 5? -a00b In base 8, what is -43 + 35101? 35036 In base 11, what is 881a0 + 6? 881a6 In base 6, what is 1453 + -23? 1430 In base 2, what is 101011 - 1100? 11111 In base 7, what is 4 + -366252? -366245 In base 9, what is -157 - 2080? -2247 In base 9, what is 157601 - 12? 157578 In base 8, what is 326755 - 10? 326745 In base 6, what is 3 - -5102342? 5102345 In base 14, what is 155 + 7b2? 927 In base 9, what is 4 + -211437? -211433 In base 3, what is -12 - -21201102011? 21201101222 In base 16, what is -75 + -32e? -3a3 In base 14, what is 950d - -66? 9575 In base 9, what is 22286 + 0? 22286 In base 4, what is -11 - 10010110? -10010121 In base 8, what is -1 - 336315? -336316 In base 8, what is 66532 + 1? 66533 In base 7, what is 4 - 641120? -641113 In base 7, what is -12 + 3140113? 3140101 In base 7, what is 113151 + 6? 113160 In base 12, what is 1949 + bb0? 2939 In base 2, what is -10100011 + 10011111? -100 In base 4, what is -3122330 + 22? -3122302 In base 4, what is -30 - -2012313133? 2012313103 In base 4, what is 0 + -13131331? -13131331 In base 12, what is 2 + 9334? 9336 In base 3, what is -112112 + 110221? -1121 In base 7, what is 5426 - 143? 5253 In base 8, what is -2 + 62512? 62510 In base 5, what is 12313 + 14033? 31401 In base 16, what is 5 - 17ba8? -17ba3 In base 15, what is 3 - -13acb? 13ace In base 8, what is -5173 - -26? -5145 In base 16, what is -44 - 515a? -519e In base 9, what is 102 + 3822? 4024 In base 9, what is 16 - 2372? -2355 In base 4, what is 11 - -12030
{ "pile_set_name": "DM Mathematics" }
)/(-50). Is z at most -0.9? False Let b = -91.3 + 92.3. Is 597 >= b? True Let x be (-2)/(-16) - (-18)/((-2448)/(-70295)). Is 518 greater than or equal to x? True Let s be 2/8 + (-3)/4*23. Let a be 11 + 0 + 13 + s. Which is bigger: a or 4? a Let v be (-14)/1888*303/707. Which is smaller: v or 0? v Let a = -0.66 - -0.46. Let n = -0.08 + -7.12. Let v = a - n. Is v < 2/3? False Suppose -36*t + 20 = -34*t - 4*d, -5*t = -3*d - 15. Is t smaller than -3/1274? False Let w(i) be the second derivative of i**3/2 - 9*i**2/2 + 3*i. Let d be w(4). Suppose 14 = 2*o - l - l, 2*l + 29 = 5*o. Is o at least d? True Let o = -6730 + 6730. Let h = -2 - -3. Which is bigger: o or h? h Let i = 4154/3 + -1384. Which is bigger: 49/37 or i? 49/37 Let s = -1/1219 + 1286/81673. Which is smaller: s or 0? 0 Let t = 0.6 + 1.4. Is 4 not equal to t? True Let u(m) = -35*m - 298. Let z be u(-20). Is z smaller than 402? False Suppose 4*g = 4*r + 40, -2 + 0 = 3*r + 4*g. Let s = 12 + 9. Suppose -4*z + s = -7*z. Which is smaller: z or r? z Let z be 132/(-231) + ((-222)/812 - -1). Does z = -1? False Let d = -319 - -308. Let j = -557/2 - -268. Is j != d? True Let c = -3 + 4. Suppose 5*u + 6 = 7*u. Suppose 2*o = -n - c, 2*n - u*o = -2*n - 15. Is n != -2? True Let d(i) = -2*i + 1. Let z = 46 - 28. Let c be d(z). Which is bigger: c or -34? -34 Let p = -28390 + 28389. Let w = -0.15 + -1.8. Let i = 0.05 - w. Which is bigger: i or p? i Let w = 5333 + -37259/7. Is 9 bigger than w? False Let b be 52/(-3) - 4/6. Let a be (-32)/(-912)*b/(-4). Suppose -f = -2*f. Is f >= a? False Let l(r) = r**2 + 11*r + 29. Let g be l(-4). Which is greater: -2/1003 or g? g Suppose 0 = f + 2*z + 7, 185*f - z - 2 = 184*f. Which is smaller: -2/1347 or f? f Suppose -4*g - o + 30 = 10, 5*g + 4*o - 36 = 0. Which is smaller: 19/5 or g? 19/5 Let t = 1946 + -1955. Is t at least as big as -2/119? False Let i = -0.051 - 0.249. Let d = -41 + 38. Which is greater: d or i? i Suppose 4*b = 4*q - 1724, 4*b - b = 5*q - 2151. Suppose 0 = 4*a - a - q. Let m be (-4)/2*(-39)/a. Is m less than 1? True Let y = 25 + -22. Suppose -2*b = -5*s + 21, -5*b = -s + 5*s + y. Let r be 1/3 + (-2)/s. Which is bigger: r or -1? r Let u = -4.31 - 0.79. Let h = 5.2 + u. Is h != -19? True Suppose -12*r + 304 = 4*r. Is r < 33? True Let g = 706 - 745. Is g at most 1? True Let n = 43 + -38. Suppose n = -2*z - 11. Is -5 > z? True Let z = -77.03 - -0.03. Is z at most as big as -3? True Suppose 0 = 5*n - 2*y - 0*y - 262, -n - 2*y = -50. Suppose -3*b + 8 = 3*m - 154, 0 = -m - 2*b + 57. Is n greater than m? True Let l = -293 - -116. Is l greater than or equal to -178? True Let s(o) = o**2 - 5*o + 9. Let w be 1 + 3 + (2 - 3). Suppose -11 - 1 = -w*q. Let g be s(q). Which is smaller: 4 or g? 4 Let p = -1.9 - -1.8. Is p at most as big as -3.12? False Let a = -11.52 + 0.52. Let z = -0.5 - -5.5. Let d = a + z. Is -2/5 bigger than d? True Suppose 0*t - 2*t + 3*r = 1, t + 11 = 5*r. Suppose -20 = t*u, -6*g + 79 = -3*g - 2*u. Which is smaller: 21 or g? 21 Let t = -499 - -999/2. Which is bigger: 1.35 or t? 1.35 Let s = 13 - 11. Suppose s*r + 4*g = 18, 3*r - 2*r + 15 = 4*g. Is r at least 5? False Let f = 0.0145 - 31.0145. Is 1/2 at most as big as f? False Suppose 30 = 2*w + 10. Let l = -16.7 + -44.3. Let i = l + 61.1. Which is bigger: w or i? w Let n be 2/(-5) - (-806)/1690. Is n greater than 2? False Let b be 6/9 + (-564)/9. Is -61 less than b? False Let v be ((-2)/4)/((-28)/112). Suppose v*i + 88 = 3*s, i + s + 20 = -24. Is -45 at most as big as i? True Let j(v) = 68*v + 273. Let p be j(-4). Which is smaller: p or -11.2? -11.2 Let y = -0.139 + 0.096. Let s = y + -1.457. Which is greater: 2 or s? 2 Let k be (-12795)/(-3120) - 2*2. Let h = -1/16 + k. Which is smaller: h or 0.3? h Let b = -50 + 148/3. Let n = -6.2 - 4.8. Let y = 11 + n. Which is smaller: y or b? b Let l = 11 - 12. Suppose 0 = j - 3*j + 4*y - 18, 5*y = 5. Let u = j - -6. Are u and l unequal? False Let b = 7.7 + -8. Let f be 4*(5/4 + -2). Is b at least f? True Let m = 1071447/16 + -66942. Is m smaller than 23? False Let u(r) = r**2 + 2*r + 8. Let z be u(0). Suppose -3*w + 11 = z. Which is smaller: w or 3? w Let i = -2339/52 + 45. Which is greater: i or 0? i Let p = -0.866 - -0.966. Let g = 1038/13 - 80. Which is smaller: p or g? g Let j(d) = 6*d + 1. Suppose 2*z - 1 = 1. Let n be j(z). Let o be (-12)/(-32)*88/6. Which is greater: n or o? n Let p = 0 + -0.3. Let c = 35 - 26. Let w = 8.8 - c. Which is greater: p or w? w Suppose -4*k + s = -0*k + 63, 75 = -5*k + 5*s. Let l(h) = h**3 + 15*h**2 - 15*h + 20. Let x be l(k). Let y be 4/(-6) - 8/(-3). Which is smaller: x or y? y Suppose -4*z = -4*a - 152, 0 = -2*z + 5*a + 25 + 66. Suppose 4*b = -11 - z. Let l = b + 10. Is l greater than -3? True Suppose 5*z + 20 + 3 = -2*l, l = z - 1. Let o be l/22 - (-143)/121. Are -2/25 and o equal? False Let q = 17 + -18. Let r be 1/(-12)*-4 - (-22)/(-54). Which is greater: r or q? r Suppose -b - 5*r = -1, -2*b + 43 = -4*b - r. Is -2 equal to b? False Let n = -1042 + 1074. Is -0.2 at most n? True Let m be (52 - 48) + 314/(-16)*-2. Let b = 43 - m. Let g = 0.3 - 0.35. Is b at most g? True Let n = 6779 + -6788. Suppose -6 = 2*a + 2*t, 5*a + 13 = -t - 10. Which is smaller: a or n? n Let c(o) = -13*o**3 - 2*o + 1. Let f be c(1). Which is greater: -15 or f? f Let i be ((-55)/418)/((-138)/(-12)). Is i not equal to 1? True Let a be 22/121 - (-130)/11. Let k = 10 - a. Which is greater: -7/5 or k? -7/5 Suppose 5*j - 235 = 5*b, -3*j = -0*j - 9. Which is smaller: b or -42? b Let p = 121/16 + -131495/17392. Which is bigger: 1 or p? 1 Let b = 32 - 31.86. Let r = b + -0.04. Which is smaller: r or -0.6? -0.6 Suppose -2*f - 53 = -3*d, 4*f - 37 = -3*d + 2*f. Let i = -31 + d. Which is greater: i or -17? i Let y(t) = -t**3 + 9*t**2 + t + 2. Let s be y(9). Suppose -5*c + 2*j + s = 0, 2*c + 1 = 4*j - 1. Suppose 0 = 4*r - c*r + 12. Which is smaller: r or 1/3? r Suppose 5*w = -3*q - 3, q - 13 = -14. Is -9/187 greater than w? False Let b(k) = k**3 + 6*k**2 + 9*k + 6. Let l = 18 - 22. Let t be b(l). Let z be ((-2)/2)/(-1 + 0). Is z less than or equal to t? True Suppose 0 = 2*i + 8, 5*g - g - 364 = 3*i. Suppose -g*w = -90*w + 2. Is 1/214 smaller than w? True Suppose 0 = -4*m + 3*u + 2*u - 209, u + 283 = -5*m. Let h be -1 - 2/m - (-2 - -1). Is h != 0? True Suppose -3*r = 3*b + 69, -185 = 5*r - 3*b - 38. Let a be 4*2/12 - (-72)/r. Is a at least as big as -2? True Suppose -2*h - 2*h - 5*o - 167 = 0, -3*o - 9 = 0. Which is smaller: h or -39? -39 Let r = -298 - -317. Which is bigger: 5/4 or r? r Let y(n) = -11*n**3 - n**2 - n + 1. Let s be (23 - 25)*(-2)/4. Let k be y(s). Let p be -6*(-1)/(8/k). Is -8 less than p? False Suppose 6*f + 7*f = 5*f. Is -2/835 >= f? False Suppose 3*b - 6 = 5*b. Let k(w) be the second derivative of w**3/6 - 2*w**2 - 3*w. Let a be k(b). Which is smaller: a or 1? a Let x = 470/3 + -157. Let l = 3 - 4. Which is greater: x or l? x Let d(m) = -4*m. Let p be d(6). Let f be ((-3105)/p)/(-3) - -1. Let c = f + 42. Which is greater: -1 or c? c Let y = -2157/17 + 127. Is y greater than or equal to 1? False Let h(s) = -2*s**3 + 13*s**2 - 20*s + 24. Let v be h(5). Is -0.035 >= v? True Suppose -2*i - 3*s = -12, 3*i - 27 = -4*s - 11. Suppose 2*r - 10 = -2*d, -d + 3*r - 4 = 3. Do i and d have the same value? False Suppose -b + 2*z + 6 = 0, b - 4*z - z - 15 = 0. Let i be -1*(3/2 + -1). Which is smaller: i or b? i Let z = 1426 - 11423/8. Is z < -2? False Suppose 70*y = 43*y + 108. Which is smaller: y or -2/59? -2/59 Let j = 17 + -80. Let x be (j/69 - 3) + 4. Does x = 0? False Suppose -5*m - 186 + 636 = 0. Which is smaller: 87 or m? 87 Suppose 0 = t + 3*t - 8. Suppose 0 = t*f - 3 - 3. Suppose 2*r = -4*a + 8, -f*r + 0 + 4 = 2*a. Is -1/13 at most as big as r? True Suppose 4*l = 3*l + 4. Let a be l/(0 + 2) - 7. Which is smaller: -3 or a? a Let z = -21.736 - 0.164. Let b = -20.6 + -0.4. Let a = b - z. Which is smaller: 0 or a? 0 Suppose 27 = -4*s + 27. Is s < -6/263? False Let v(o) = -o**2 + o + 4. Let j be v(0). Suppose -2*t - 4 = -j*t. Let b = 1.006 - 0.006. Which is smaller: b or t? b Let v = -156 + 168. Let h(g) = -g + 7. Let z be h(5). Are v and z equal? False Let t = -0.7 + 0.86. Let w = t - 0.26. Is w less than 2? True Let k = 21.011 + -0.011. Let
{ "pile_set_name": "DM Mathematics" }
e y(w) wrt w. 20*w**3 Let i(h) = 7*h**4 + 3*h**2 + h - 3. Let z(u) = -14*u**4 - 7*u**2 - 2*u + 7. Let c(s) = 7*i(s) + 3*z(s). What is the second derivative of c(r) wrt r? 84*r**2 Find the second derivative of -243*o**4 + 22*o + 98*o**4 + 125*o**4 wrt o. -240*o**2 Let z(j) be the first derivative of j**6/60 - j**4/8 - 3*j**2/2 - 1. Let s(p) be the second derivative of z(p). Find the second derivative of s(d) wrt d. 12*d Suppose 4*p + 0*p = -f + 13, 2*p + 3*f = 19. What is the first derivative of -8 - 1 + 2 - 3*z**p wrt z? -6*z Let r = 5 + -3. Find the third derivative of 0*d**2 + 5*d**2 - r*d**2 - d**2 - d**5 wrt d. -60*d**2 Find the first derivative of x**4 + 0*x**4 - x**4 - 2 - 3*x**4 wrt x. -12*x**3 Let t(a) = -2*a + 0 - 6 - 4. Let s be t(-7). What is the third derivative of s*n**2 - 3*n**2 + 2*n**2 + 8*n**4 - 6*n**4 wrt n? 48*n Suppose f - 3*f = -10. Let y be 10/(-4)*(-6)/f. Find the third derivative of -4*z**2 + 2*z**2 + 2*z**y + z**2 wrt z. 12 Let u be 0/(-3*(-4)/(-6)). Let v = 3 + u. Differentiate v*l**3 + 2*l**2 - 1 - 2*l**2 + 4 with respect to l. 9*l**2 What is the third derivative of -5*k**2 + 26*k**5 - 5*k**2 - 14*k**2 wrt k? 1560*k**2 Find the first derivative of -5*c**2 + 0*c**2 + 17 - 6*c**2 - 4*c**2 wrt c. -30*c Let d(l) = l - 5. Let j be d(5). Suppose j = 2*v + v - 5*o + 25, 3*v + 15 = 3*o. What is the third derivative of 2*t**2 - 2*t**4 + t**4 + v*t**2 wrt t? -24*t Differentiate -3*y**4 + 1 - y**4 + 3*y**4 wrt y. -4*y**3 Find the second derivative of -4*d**2 + 0*d**2 - 6*d - d**2 wrt d. -10 Suppose -2*j + 8 = -0*j. Find the first derivative of 2 + 2*z**j - 5*z**4 - 5 wrt z. -12*z**3 Let s(q) be the third derivative of 0 + 0*q**6 + 0*q**5 - 1/105*q**7 + 1/6*q**4 - 2*q**2 + 0*q + 0*q**3. Find the second derivative of s(w) wrt w. -24*w**2 Let q(p) be the third derivative of 0*p**4 + 0 + 0*p**3 + 0*p + 1/40*p**6 + 1/30*p**5 + 4*p**2. Find the third derivative of q(o) wrt o. 18 Let b(g) = -495*g**4 + 27*g**2 + 225*g. Let u(t) = 71*t**4 - 4*t**2 - 32*t. Let m(w) = 4*b(w) + 27*u(w). What is the second derivative of m(s) wrt s? -756*s**2 Let j(m) = 11*m**3 + m + 5. Let r(q) = -27*q**3 - 3*q - 12. Let l = -22 - -10. Let s(g) = l*j(g) - 5*r(g). What is the second derivative of s(z) wrt z? 18*z Suppose 0 = -z + 3 + 1. Find the first derivative of 3*t**4 + 0*t**4 + 3 - t**z - 3*t**4 wrt t. -4*t**3 Let c(v) be the first derivative of -v**6/3 + 8*v**5/5 + v**2 - 9*v + 20. What is the second derivative of c(u) wrt u? -40*u**3 + 96*u**2 Let c(x) = -8*x - 18. Let g(w) = -1. Let m(u) = -c(u) + 3*g(u). Differentiate m(r) wrt r. 8 Let z(a) be the second derivative of a**6/40 + a**3/3 - 3*a**2/2 + 3*a. Let t(f) be the first derivative of z(f). Differentiate t(i) with respect to i. 9*i**2 Let h be (-14)/(-49) + 4/(-14). Suppose -j + 3 - 1 = h. Find the first derivative of j*l**2 - l**2 + 0 - 1 wrt l. 2*l Let l(b) be the second derivative of 1/12*b**4 - b + 0*b**3 + 0*b**2 + 0*b**5 + 0 - 1/30*b**6. Find the third derivative of l(a) wrt a. -24*a Let x be 2*-5*2/(-4). Find the second derivative of -4*o**x - 4*o + 6*o - o wrt o. -80*o**3 Find the second derivative of -53*l - 5*l**2 - 51*l + 96*l wrt l. -10 Let u(m) = 18*m**5 + 28*m. Let z(b) = -b**5 - b. Let o(f) = -u(f) + 3*z(f). Find the second derivative of o(c) wrt c. -420*c**3 Let r(i) = 29*i**3 - 25*i**2 - 5*i. Let d(x) = x**3 - x. Let c(t) = 5*d(t) - r(t). What is the third derivative of c(l) wrt l? -144 Let v(q) be the first derivative of -q**2/2 + 1. Let f be v(-3). Find the third derivative of -f*h**2 - 4*h**5 + 2*h**5 - 2*h**2 + 3*h**2 wrt h. -120*h**2 Let h = 10 - 6. Suppose 7 = h*w - 1. What is the first derivative of -v**3 + 2*v**2 + 3 + 4*v**3 - 2*v**w wrt v? 9*v**2 Let k(j) be the first derivative of -j**7/420 + j**6/360 + j**3 + 1. Let v(f) be the third derivative of k(f). What is the third derivative of v(h) wrt h? -12 Let g(v) be the third derivative of -16*v**7/105 + 11*v**5/20 + 27*v**2. Find the third derivative of g(o) wrt o. -768*o Let i(b) = -14*b**4 - 6*b - 9. Let z(x) = -13*x**4 - 5*x - 9. Let a(w) = -5*i(w) + 6*z(w). What is the first derivative of a(r) wrt r? -32*r**3 What is the second derivative of s**3 - 9*s + 3*s + s**3 + 2*s**3 wrt s? 24*s Let p(l) be the second derivative of -l**8/2240 - l**5/40 + l**4/6 - 2*l. Let x(i) be the third derivative of p(i). What is the derivative of x(t) wrt t? -9*t**2 Let x(z) be the first derivative of 0*z**2 + 0*z**4 + 0*z**3 + 2 + 3*z - 3/5*z**5. What is the first derivative of x(u) wrt u? -12*u**3 Suppose 0 = -r - 4*r + 20. Differentiate f**4 - 3*f**4 + 1 + f**r - 5*f**4 wrt f. -24*f**3 Let b(p) be the first derivative of -22*p**2 - 50*p + 38. Differentiate b(u) with respect to u. -44 Let g(r) = -5*r**6 - 12*r**2 - 13. Let w(f) = f**6 + 3*f**2 + 3. Let s(x) = -6*g(x) - 26*w(x). What is the third derivative of s(o) wrt o? 480*o**3 Suppose -1 = -5*n + 4. What is the first derivative of -n - 1 + 0*g**4 + 3*g**4 + 3 wrt g? 12*g**3 Let m(v) = -4*v**4 - 2*v**3 - 2*v**2 + 2*v - 3. Let n(q) = q**3 + q**2 - q. Let s = 9 + -10. Let y(r) = s*m(r) - 2*n(r). Differentiate y(h) with respect to h. 16*h**3 Let h(g) = -50*g**4 + 3*g**2 - 3*g + 10. Let w(c) = 49*c**4 - 2*c**2 + 2*c - 10. Let y(r) = -2*h(r) - 3*w(r). What is the derivative of y(l) wrt l? -188*l**3 Let u(n) be the second derivative of 5*n**3/6 - n**2 - 6*n. What is the derivative of u(w) wrt w? 5 Find the third derivative of 2*t**2 + 0*t**2 + 18*t**4 + 5*t**2 - 5*t**2 wrt t. 432*t Let b(v) = 12*v**4 - 9*v**2 - 5*v. Let z(j) = -3*j**4 + 2*j**2 + j. Suppose 2*c - 9 = 27. Let a(p) = c*z(p) + 4*b(p). Find the second derivative of a(t) wrt t. -72*t**2 Suppose 0 = b + 3, -b + 5 = a + 3*a. Let i be 3*1/2*2. Find the first derivative of 7*w**2 - 2 + 0*w**2 - i*w**a wrt w. 8*w Suppose -3*j = -15, 3*j = 3*m + j - 8. What is the second derivative of -7 - c + 5*c**5 + 13 - m wrt c? 100*c**3 Let r(l) be the third derivative of l**8/960 + l**5/20 - l**4/12 - 7*l**2. Let u(b) be the second derivative of r(b). Find the first derivative of u(n) wrt n. 21*n**2 Let b(a) be the third derivative of 0*a - 1/2*a**3 + 0*a**6 + 0*a**4 - 1/70*a**7 + 0 + 0*a**5 + a**2. What is the derivative of b(z) wrt z? -12*z**3 Let l(p) = 14*p**4 - 11*p**3 - 11*p**2 + 8. Let o(h) = 7*h**4 - 6*h**3 - 6*h**2 + 4. Let z(d) = -6*l(d) + 11*o(d). What is the derivative of z(a) wrt a? -28*a**3 Let m(y) be the third derivative of -5*y**8/112 - 8*y**5/15 + 40*y**2. Find the third derivative of m(w) wrt w. -900*w**2 Suppose 0 = -2*z, z + 1 - 6 = -i. What is the second derivative of 4*t**5 + 3*t + 5*t**5 - i*t**5 wrt t? 80*t**3 Let h(s) = -s**4 + 4*s + 8. Let t(m) = -m - 3. Let p be (3/2)/((-3)/6). Let i(g) = p*h(g) - 8*t(g). Find the second derivative of i(j) wrt j. 36*j**2 Let o be (-2)/5 + (-4)/(-10). What is the second derivative of o*s + 22*s**4 + s - 18*s**4 + 0*s wrt s? 48*s**2 Let k(s) be the first derivative of -s**7/21 + s**4/24 - s**2 + 5. Let n(f) be the second derivative of k(f). What is the second derivative of n(j) wrt j? -120*j**2 Let c(o) = o**2 - o. Suppose 12 = 2*z + 5*p, -15 = z - 5*p - 6. Let r(g) = 4*g**2 - 5*g + 3. Let d(l) = z*r(l) - 5*c(l). What is the derivative of d(k) wrt k? -2*k Let w(u) be the first derivative of 0*u**2 + 0*u**3 + 3/5*u**5 + 4 + u + 0*u**4. Find the first derivative of w(y) wrt y. 12*y**3 Let h = -20 - -23. Let b(t) = 15*t**2 - 1. Let y(z) = -8*z**2 + 1. Let i(s) = h*b(s) + 7*y(s). What is the first derivative of i(j) wrt j? -22*j Let h(v) be the first derivative of 3*v**8/56 - v**4/6 - 3*v + 3. Let f(g) be the first derivative of h(g). What is the third derivative of f(q) wrt q? 360*q**3 Let j be 2/(-1) + 36/(-4). Let h = j + 21. What is the second derivative of 10 + 4*n**4 - 2*n**4 - h - 4*n wrt n? 24*n**2 Let n(l) = 4*l**2 - l. Let a be (-15)/(-12) - (-1)/(-4). Let i be n(a). Differentiate -m**2 - i + 2 - m**2 with respect to m. -4*m Let m(y) be the first derivative of y**4/4 + 44*y**3/3 + 19*y**2/2 - 16. Find the second derivative of m(t) wrt t. 6*t + 88 Let t(m) be the third derivative of 7*m**4/12 + 13*m**3/3 - m**2. Differentiate t(u) with respect to u. 14 Find the third derivative of -9*t**2 + 27*t**6 - 12*t**6 - 17*t**6 wrt t. -240*t**3 Let q(u) be the third derivative of -u**6/
{ "pile_set_name": "DM Mathematics" }
36. Sort d, 4, -3 in increasing order. -3, d, 4 Let c(w) = w**3 + 4*w**2 + 3*w - 4. Let k be c(-3). Let b(n) = n + 2. Let r be b(4). Sort r, 1, k in decreasing order. r, 1, k Let o = -93/2 + 47. Sort 0, -1/4, o, 0.3. -1/4, 0, 0.3, o Suppose -t - 2 = -3*t. Let a = 70.05 - 68. Let p = a - 0.05. Sort p, 2/13, t in descending order. p, t, 2/13 Let x = -9 + 5. Let u = -0.49 + 0.09. Put 1/6, x, u in decreasing order. 1/6, u, x Suppose b = 2*a + a + 2, 0 = -5*b + 4*a + 10. Suppose 0 = 4*g - b*g - 14. Suppose g = x + 5. Sort -4, -5, x in decreasing order. x, -4, -5 Let l = -1.7 - -0.9. Let t = l + 1.1. Sort t, -1/4, -0.5 in descending order. t, -1/4, -0.5 Let t be 9/(-15)*(-10)/(-8). Let a be (-4)/(-8) - 6/(-4). Put 0, t, a in ascending order. t, 0, a Let a = 3.74 + -0.14. Let o = a + -3. Let q = -1 + o. Put q, 4, 0 in descending order. 4, 0, q Let t(y) = y**3 + 10*y**2 - 10*y + 15. Let f be t(-11). Suppose 4*z - 8 - 8 = -2*j, 5*j = 20. Sort 5, f, z. z, f, 5 Let a = -6.1 - -6. Let o be 2/8 - 2/8. Sort o, 2/3, a. a, o, 2/3 Let l = -0.1 - -0.4. Let p = -4 + 11. Let k = -11 + p. Sort k, l, 0 in increasing order. k, 0, l Let v = -15 - -15.05. Let l = 4.95 + v. Put -0.2, l, 0.4 in ascending order. -0.2, 0.4, l Let u = -26 + 30. Put u, 5, -1, 1 in decreasing order. 5, u, 1, -1 Suppose -2*m + 14 = 3*p - 0*m, -14 = -p - 3*m. Put -2/5, p, 1/3 in increasing order. -2/5, 1/3, p Suppose 3*b - 3 = 2*b, -2*b + 31 = -5*q. Let p = -13 - -13. Sort q, p, -4 in decreasing order. p, -4, q Suppose -x = -5*x - 12. Let j = 0.1 + 0.4. Put -4, j, x in descending order. j, x, -4 Suppose 3*d = -4*t - 10 + 24, 4*t - 12 = -4*d. Put 0, 2, t, -2 in descending order. t, 2, 0, -2 Let i = 17.83 + -18. Let v = -53.7 - -60.53. Let c = i - v. Sort c, 2/9, 0.2. c, 0.2, 2/9 Let s(w) = -w**2 - 5*w + 31. Let b be s(-9). Put -12, b, 0.5, 0 in descending order. 0.5, 0, b, -12 Let n be 7/7 - (-1 - -7). Sort n, 5, -4 in decreasing order. 5, -4, n Let s = -3 + 0. Let y = 18 - 9. Suppose 2*p = 3*n - 0*p - y, -3*n + 9 = 3*p. Sort s, n, 1. s, 1, n Let c = -706/63 + 80/7. Let t = 3740 - 11357/3. Let a = t + 142/3. Sort c, -2, a in increasing order. -2, c, a Let s = 0.4 - 0.8. Suppose -w - 3 + 1 = d, -2*d = -3*w + 19. Let l be (d/125*-5)/(-1). Put s, l, 2/9 in descending order. 2/9, l, s Let g be 4/2 + (-3)/(-15)*-11. Put g, 41, 3 in ascending order. g, 3, 41 Let l = 6 - 3. Suppose 0 = -2*a + a - l. Sort 5, 3, a in descending order. 5, 3, a Let p = -28 + 30. Put 5, p, 0.2 in increasing order. 0.2, p, 5 Let q = -0.3 - 3.7. Let h = 167 + -166.5. Put h, -2, q in descending order. h, -2, q Let d(v) = v**2 + 10*v - 8. Let a be d(-11). Let o be 8/6*27/18. Put -0.1, o, a in increasing order. -0.1, o, a Let u(a) = -9*a + 5. Let v(i) = -4*i + 3. Let s(k) = -2*u(k) + 5*v(k). Let l be s(4). Sort l, -1, -5 in decreasing order. -1, l, -5 Let l(k) = k**2 + 4*k - 2. Let b be l(-4). Suppose 3 = -0*x - x. Let f = x - b. Sort 0.5, f, 0.1 in decreasing order. 0.5, 0.1, f Suppose g = -3, -u - 5*g - 16 + 4 = 0. Put 2, u, -4 in decreasing order. u, 2, -4 Let m = 2 - 4.4. Let d = -0.6 + m. Sort 0.1, d, 0.5 in decreasing order. 0.5, 0.1, d Suppose -b - 2*o = b, -32 = 5*b - 3*o. Sort 1, -6, b in ascending order. -6, b, 1 Let u(z) = -z**3 - 3*z**2 + 5*z + 5. Let q be u(-4). Let f be 1 + (q + -2)/(-1). Let l be (-5)/(-10) + 18/4. Sort 4, l, f in increasing order. f, 4, l Suppose y = -2*y. Let p be (0 - -1)/(y - 1). Let g = -12 - -13. Sort p, -4, g in increasing order. -4, p, g Suppose 4*m = x - 14, 8 = 4*x - 0*x - 4*m. Put x, 1, -3 in descending order. 1, x, -3 Let o = -2.98 + -0.02. Let z = -1 - -0.6. Let j = -136/3 + 46. Sort o, j, z in decreasing order. j, z, o Suppose -3*w - 12 = 4*b + w, 47 = -5*b + 3*w. Let j = 8 + b. Sort j, 0, -4 in ascending order. -4, 0, j Suppose 0 = -5*m - 4*j + 4 + 3, -3*m + j = 6. Put -4, -1/9, m, 2/5 in decreasing order. 2/5, -1/9, m, -4 Let h = -2 + 1.99. Let y = h + -4.99. Let u = 32/9 - 38/9. Sort u, -1/6, y in increasing order. y, u, -1/6 Suppose -17 - 28 = 9*w. Put -1, -0.1, -2/21, w in ascending order. w, -1, -0.1, -2/21 Suppose 8 = -4*w + 5*n, -4*n = 4*w + 3 + 5. Sort 0.21, w, -1, 1 in ascending order. w, -1, 0.21, 1 Let y be 38/(-34)*(-76)/112. Let t = 1/119 - y. Let m = -0.05 + -0.95. Sort m, t, 0 in descending order. 0, t, m Suppose 2*r = r. Put 3, r, -2 in ascending order. -2, r, 3 Let h = 12 + -11. Sort h, 3, 0. 0, h, 3 Let f = -108/301 - 3/43. Suppose 0 = -q - 3*r - 7, 2*q - 4*r = r - 3. Sort f, -2, q in decreasing order. f, -2, q Suppose 5*l = -6 + 16. Let x = 0.09 - -8.91. Let d = -9.4 + x. Put -0.5, d, l in decreasing order. l, d, -0.5 Suppose 5*z + 2*v = -2*v + 8, 4*v = 8. Sort -5, z, -3 in increasing order. -5, -3, z Let b = -3.5 + 1.5. Sort 4/13, b, 3, 1/2. b, 4/13, 1/2, 3 Let d(y) = -y**3 + 4*y**2 + 4*y - 7. Let c be d(5). Let o be 4/6 + (-10)/c. Let w be 18/72 + 17/(-36). Sort -0.2, o, w in ascending order. w, -0.2, o Let n = -2 + 1.5. Let s = 47.07 - 44. Let g = -0.07 + s. Sort n, -0.1, g in decreasing order. g, -0.1, n Let h be (-3 - -6) + (-32)/4. Put h, -4, -21 in increasing order. -21, h, -4 Let x(l) = 2*l + 47. Let q be x(-21). Sort 1, q, 0, -3. -3, 0, 1, q Let n(h) = h**3 + 2*h**2 + 4*h + 7. Let m be n(-2). Sort m, -4, -5 in ascending order. -5, -4, m Let l = -586 - -584. Let f = 2 - 1.9. Put 3, f, l in ascending order. l, f, 3 Let v = 25/9 - 29/9. Sort v, 5, 2 in descending order. 5, 2, v Let w = 7 + -6. Let u(g) = -g**2 + 4*g + 7. Let x be u(5). Put w, -3, x in decreasing order. x, w, -3 Let n = -0.076 + 0.076. Put -1, n, 0.5 in descending order. 0.5, n, -1 Let u = -12.2 + 8. Let b = u - 0.8. Sort 3/4, -1/9, b in decreasing order. 3/4, -1/9, b Let j = -0.16 - 0.14. Put j, 5, 1/4 in descending order. 5, 1/4, j Suppose -5*q = -7*q. Put q, 0.1, -0.02 in decreasing order. 0.1, q, -0.02 Suppose 3 = -z - 5*m, 5*z - 2*m - 3*m - 15 = 0. Suppose -z*b + 3*b = -1. Put b, -0.5, 0.1 in ascending order. b, -0.5, 0.1 Let l(g) = -g**3 - 10*g**2 + 12*g + 12. Let t be l(-11). Let m = -5 + 10. Suppose 5*u + 17 = x, m*u + 3*x + 32 = -x. Put u, 5, t in descending order. 5, t, u Let h = 3.99 - 0.07. Let x = 0.08 + h. Let g = -2 + 5. Sort g, x, -3 in ascending order. -3, g, x Let n = 118 + -120. Sort 1, 3, n. n, 1, 3 Let z = -15 + 13. Let l be -7 + z/5*-5. Sort l, -1, 2/5. l, -1, 2/5 Let d = -16 + 12. Let h = 3.5 + d. Put -0.3, h, -0.4 in decreasing order. -0.3, -0.4, h Suppose 4*x = f + 24, -4*x - f = -0*x - 16. Suppose 0 = x*s - 4*p - p + 35, 0 = -4*s + 2*p - 24. Put 4, 3, s in decreasing order. 4, 3, s Suppose 0*q - 8 = -q + 5*b, -3*q = -3*b. Put -0.4, 1/7, q in decreasing order. 1/7, -0.4, q Suppose 0 = -p + 5, 14 = 2*a + 5*p - 29. Let s be ((-3)/a)/(2/(-18)). Put -1, -3, s in decreasing order. s, -1, -3 Let i = 12 - 11.98. Let o = i + -0.42. Sort o, -5, 1 in increasing order. -5, o, 1 Let n(v) = -v**2 - 5*v + 2. Let p be n(-7). Let f be 0 - -2 - p/(-3). Let h be (-23)/7 + 8/28. Sort f, h, 5 in ascending order. h, f, 5 Let i be (2*-3)/(-4 + 2). Let r be (-2)/i*2 - -2. Suppose 28 = 12*v - 20. Sort r, v, -3. -3, r, v Let m be 2/6*(13 + -19). Let b be (-4)/((-4)/(-3))*1. Sort b, 3, m. b, m, 3 Suppose 4*l - 4 = 2*o, -6*o = -3*l - 2*o + 8. Let w be ((-2)/(-1))/(2/4). Sort l, -1, w. -1, l, w Let o(k) = -k**2 + 5*k - 4. Let r be o(3). Suppose 0 = r*u + 3 + 3. Put 8, -1, u in increasing order. u, -1, 8 Let z = 46 - 47. Sort z, -14, -4 in decreasing order. z, -4, -14 Let o be (-1)/((-6 - -2) + 3). Sort o, -2, 0 in increasing order. -2, 0, o Suppose 2*r - 6 = -r. Let o(p) = p + 1. Let i be o(-1). Let g = -3 + 7. Sort g, i, r. i, r, g Let h be -4*28/8*-2. Suppose -4*z = -2*u - 14, -4*u + 5*z - h = -9. Put u, -7, 4 in decreasing order. 4, u, -7 Let t = -13 + 7. Let y(b) = 2*b + 13. Let q be y(t). Sort 5, -0.1, q. -0.1, q, 5 Let j be (2 - -3)*(-4)/70. Put j, 3/5, 0.3 in descending order. 3/5, 0.3, j Let i = 19 + -15. Suppose 5*o + i*t = 40, 0*t + 45 = 5*o + 5*t. Sort o, 1, -7 in decreasing order. o, 1, -7 Let c = 0.02 - 0.01. Sort -2/3, c, 1/2 in decreasing order. 1/2, c, -2/3 Let a = -2.7 + 2.5. Sort -2, -1/3, a. -2, -1/3, a Let k be (8/14)/(5 + 125/(-35)). Sort k, 1/3, 2/7 in descending order. k, 1/3, 2/7 Let y = -3.4 - -3.3. Let k = -919/7 - -131. Sort k, y, -1/6. k, -1/6, y Suppose 4*l - 4
{ "pile_set_name": "DM Mathematics" }
or of y and 209? 11 Let m(r) be the second derivative of -11*r**3/2 - 3*r**2/2 + r. Let c = 771 - 772. Let t be m(c). What is the greatest common divisor of t and 15? 15 Let x be 6/(24/(-34))*-2. Calculate the highest common factor of x and 136. 17 Let m = -2126 - -2334. Suppose -2*n - 10 = -7*n. Suppose -5*z = -n*x - 156 - m, 3*x - 66 = -z. Calculate the greatest common divisor of 8 and z. 8 Let i(j) = 3 + 21*j - 46*j + j**2 + 28 + 42*j. Let k be i(-16). Let w(m) = m**2 - m. Let u be w(6). What is the greatest common divisor of k and u? 15 Suppose c = -2*c - 132. Let z be (-5 - c/8)*(71 + 1). Let j = z + -24. Calculate the highest common divisor of j and 36. 12 Suppose 3*u + 5*b = 55 + 1, 5*u - 115 = -4*b. Suppose 3*i = -2*w + 79, 4*i - 114 + u = w. Let p = -5201 + 5454. Calculate the highest common divisor of p and i. 23 Suppose -5*m = -5*s + 140, 3*m = 9 + 3. Let j be (608/266)/(-2 - 32/(-14)). Calculate the greatest common factor of s and j. 8 Let h be ((-2)/8)/((-77)/44044). Let p be 26/h - ((-8600)/11 + -1). Calculate the greatest common divisor of 29 and p. 29 Let w(t) = -214*t - 1939. Let i be w(-24). What is the greatest common divisor of i and 23? 23 Suppose 4*z + 1744 = 4*v, 4*v + z = -3*z + 1704. Let l = v - 301. Calculate the highest common divisor of l and 26. 26 Suppose -7*t = -724 + 325. Suppose -5*b + 354 = -501. What is the highest common factor of b and t? 57 Suppose 0 = -2*l + 3*o + 41, 0*l = -2*l - 3*o + 35. Let h(z) = -116*z**2 + 1735*z + 76. Let i be h(15). What is the highest common divisor of i and l? 1 Suppose -2*j = 0, 2*s + 416 = -2*s + 2*j. Let n = 18 + -146. Let d = s - n. What is the highest common divisor of d and 36? 12 Let c = 2890 - 2810. Calculate the highest common factor of 2360 and c. 40 Let o = -148 + 155. Let s(w) = w**3 + 8*w**2 + w + 15. Let x be s(-8). Calculate the greatest common divisor of x and o. 7 Let l be 2 - 6*(-2 - 2)/(-12). Let o(n) = -n**3 + n**2 + n + 5. Let s be o(l). Suppose -812 - 893 = -s*y. Calculate the greatest common factor of y and 31. 31 Suppose -1418 = -2*c - 2*b, 0 = c - 9*b + 14*b - 677. What is the greatest common factor of c and 4063? 239 Suppose 771 = 5*k - 4*g, -389 = -2*k + 3*g - 82. Let h be 151 + 6 + -5 + 20/5. Suppose 143*p = h*p - 806. Calculate the greatest common divisor of k and p. 31 Suppose -5*n + 5*k = -10*n + 520, -5*n = k - 532. Suppose 111*r = n*r + 320. Calculate the highest common factor of r and 180. 20 Suppose -s + 13 = -5*o, s = 4*o + 5 + 3. Let p = -1024 + 993. Let l = s - p. What is the greatest common factor of l and 266? 19 Suppose 2*j = -3*j + 365. Suppose -77*b + j*b = -20. Suppose -b*a + 3*a = -60. Calculate the highest common factor of a and 75. 15 Suppose -384 = -174*d + 138. What is the greatest common divisor of d and 384? 3 Let r = -42 + 40. Let j be (-7 - -5)*(-2)/(-4)*r. Suppose -5*w + 15 = 0, -127 = -j*v + 3*w + 54. What is the highest common factor of v and 19? 19 Let r(d) = 21*d**2 - 3*d. Let h be (3/(-4))/(27/(-72)). Let m be r(h). Let u be ((-52)/m)/((-2)/1113). What is the highest common factor of u and 53? 53 Let z = -4985 - -8216. What is the greatest common factor of z and 27? 9 Let r be ((-55)/20 + 4)/((-15)/(-7080)). Calculate the highest common divisor of r and 30. 10 Suppose -542*z + 1154 + 319 = -494*z + 321. Suppose -4*g - 2961 - 679 = -5*q, 0 = g - 5. What is the highest common factor of q and z? 12 Let c = 898 - 1465. Let w = -534 - c. What is the highest common factor of 88 and w? 11 Let o(g) = 35*g + 1607. Let s be o(-44). Calculate the greatest common factor of s and 39932. 67 Let x be 7/(-35) - (4105/25)/(-1). Let i = 23 + -19. Calculate the greatest common divisor of i and x. 4 Let s = 46 - -71. Let b be ((-2)/4)/(7*(-12)/3024). Calculate the greatest common divisor of s and b. 9 Let k = 280 + 112. Suppose k = -9*b + 23*b. What is the highest common divisor of b and 182? 14 Let g(x) = 88*x + 1578. Let n be g(-17). What is the greatest common factor of n and 3403? 41 Suppose 3*l - 26635 = 5*o, -3*o = 2*l + 3872 - 21616. Calculate the greatest common divisor of 125 and l. 125 Suppose 6*c + 3*c - 9 = 0. Let g be (c - 15/(-4))/(105/420). Calculate the greatest common divisor of 19 and g. 19 Let z(j) = j - 22. Let c be z(7). Let t be (-12)/c*(-45)/18. Let s be t/1 - -32 - 3. What is the highest common divisor of 27 and s? 27 Suppose -4*p + 37 - 13 = 0. Let w(o) = -o**2 - 5*o - 2. Let g be w(-1). Let m be (g/(-4))/(2 - (-245)/(-120)). What is the greatest common factor of p and m? 6 Let f(j) = j**3 - 60*j**2 - 324*j + 117. Let p be f(65). Calculate the highest common divisor of p and 273. 91 Let l(p) = 971*p - 2821. Let o be l(3). Calculate the highest common divisor of o and 391. 23 Let c(n) = 5*n + 18. Let t(i) = i + 1. Let a(g) = c(g) - 3*t(g). Let q be a(0). Suppose q = b - 0. What is the greatest common divisor of 15 and b? 15 Let t be 9536/112 + -14 + (-12)/(-14). Let p be (2 - -5) + t/3. What is the highest common divisor of 992 and p? 31 Suppose -2801 = 29*t - 45228. What is the greatest common factor of 693 and t? 77 Let n = 16581 + -4906. Calculate the highest common divisor of n and 50. 25 Suppose 1679 = 57*x + 1806 - 4174. What is the highest common divisor of x and 5751? 71 Let u(t) = t**3 + 2*t**2 - 5*t + 5. Suppose -35*d = -41*d + 18. Let a be u(d). What is the highest common divisor of 63 and a? 7 Let j = -3 + -50. Let p = -46 - j. Let o = p + 53. What is the greatest common divisor of o and 36? 12 Let v = -210 + 210. Suppose -388*r + 390*r - 40 = v. What is the greatest common divisor of 15 and r? 5 Let x(o) = 4*o**2 + 12*o + 4. Let d be x(-6). Let r = 195 - d. Calculate the highest common divisor of 17 and r. 17 Let r(i) = 46*i - 274. Let s(z) = 8*z**2 + 9*z + 7. Let v be s(-1). Let k be r(v). What is the greatest common factor of 162 and k? 2 Let b be (-1)/((15/3)/(-10)). Suppose 0 = -2*q + b, 38 = p + 2*q - 14. Suppose -5*g + p = -0*g. Calculate the greatest common divisor of g and 270. 10 Let t be ((-12)/30 + (-78)/5)/(-1). Suppose 0 = t*g - 19*g + 144. What is the greatest common divisor of 432 and g? 48 Suppose 24 = -11*b - 9. Let j(h) = -h - 1. Let z be j(b). Suppose 13 = z*t + 9. What is the highest common divisor of 16 and t? 2 Suppose 0 = m + 12 - 563. Let k(x) = 3651*x - 332183. Let r be k(91). What is the highest common factor of m and r? 29 Suppose 0 = -321*o + 328*o - 2205. What is the greatest common factor of 84 and o? 21 Suppose 4*h + w - 2*w - 123 = 0, 5*h + 4*w - 159 = 0. Calculate the greatest common divisor of h and 713. 31 Suppose 3*b - q = 7279 + 6361, -9112 = -2*b - 4*q. Calculate the highest common divisor of b and 12. 12 Let l = 114 - 91. Let y be (0 + 2)*-379 - 1. Let d be y*((-8)/(-3) + -3). What is the highest common divisor of d and l? 23 Let v = -13127 - -13141. Calculate the highest common factor of 14154 and v. 14 Let k be (-52)/(-13) + (1 - -1). Let q(x) = x**3 + 8*x**2 - 12*x - 2. Let h be q(-9). Let m = h + -10. Calculate the highest common divisor of m and k. 3 Let t(a) = 9*a**2 - 5*a - 142. Let m be t(14). What is the greatest common factor of 97 and m? 97 Suppose 12*x + 2 + 10 = 0. Let q be (x - -2 - 82)*(-5)/15. Let k be ((-14)/(-4) - 4) + q/6. Calculate the greatest common divisor of k and 20. 4 Suppose 0 = 4*w - v + 76, 3*w - 5*w - 24 = -4*v. Let x = w - -22. Suppose -22 = -4*m + 18. What is the greatest common factor of m and x? 2 Let b = -69 - -101. Suppose -4 = -3*g - f + 5, -b = -5*g + 4*f. Suppose -k - 5*n = -35, -13 - 7 = -g*n. What is the greatest common divisor of 4 and k? 2 Let x(k) = -k**2 + 10*k + 3. Let v = -73 - -76. Let u be x(v). What is the greatest common factor of 8 and u? 8 Let o = 95 - 191. Let v be (o/15 - -4)*-5. Suppose -10*l - n = -5*l - 30, -5*l + 30 = -4*n. Calculate the greatest common divisor of l and v. 6 Suppose 0 = 4*k - 5*t + 17, 5*k - 4*t - t = -15. Let r be (-1144)/352 - 2/(-8). Let g be (3 - r - -1)*(-2 + 3). What is the highest common factor of k and g? 1 Let k(f) = 27*f**2 - 1698*f - 134. Let i be k(63). What is the greatest common factor of 8701 and i? 11 Suppose -5*f + 16911 + 20954 = 7275. Calculate the highest common factor of 805 and f. 161 Let x = 32196 - 32088. Let j be 81/12*(-24)/(-1). Calculate the greatest common
{ "pile_set_name": "DM Mathematics" }
(-7). Let t be s/(-6) - 1/(-3). Sort b, t, -0.5 in ascending order. b, -0.5, t Suppose -4*u = -45 - 3. Let g = u + -9. Let p be 0/(-1) - 3 - -2. Sort p, 4, g in decreasing order. 4, g, p Let g = -5.9 + 2.2. Sort -0.3, g, -2 in ascending order. g, -2, -0.3 Let x = 1.2 + -1.2. Suppose 2*d = -2*d - 8. Let p be 14/20 + d/10. Sort -4, p, x in decreasing order. p, x, -4 Let k be (0 - 1) + -1 + 7. Let v be (2 + (-6)/4)*6. Sort k, v, -1 in ascending order. -1, v, k Let r = 12 - 17. Sort 3, r, 6 in decreasing order. 6, 3, r Let t = 6.9 + 0.1. Let v = t + -7.2. Sort 5, v, 0.4 in descending order. 5, 0.4, v Let u = -0.3 - -0.5. Let q be -4 + (-2 - -4 - -5) + -3. Sort 1, q, u in decreasing order. 1, u, q Suppose 1 = -4*l + 13. Let y = -4 + l. Let x be -1 - 2 - (-4 - y). Sort -5, -4, x in ascending order. -5, -4, x Let n = -6 - -9. Suppose n*f + 0 = -3. Suppose 2*z - 8 = 2. Sort 4, f, z in ascending order. f, 4, z Let u = 0.107 + 7.593. Let r = 8 - u. Sort 1, -2, r in increasing order. -2, r, 1 Let b(u) = -3*u + 41. Let d be b(14). Sort 2, 16, d in decreasing order. 16, 2, d Let f = 0 + 5. Suppose -4*s + 3*u = -0*u - 8, f*u - 4 = -2*s. Suppose -4*x + 5*w - 24 + 3 = 0, -4*x = w - 9. Put 5, x, s in ascending order. x, s, 5 Let f(n) = n**3 + n**2 - n - 4. Let r be f(0). Sort -1, 0, r in descending order. 0, -1, r Let p = 0.4 + -0.2. Sort -4, -3/2, -9, p in decreasing order. p, -3/2, -4, -9 Let w(t) = -4*t**3 + 4*t**2 - 2*t - 2. Let n be w(2). Let u be n/(-12) - 2*1. Let i be (-2)/90 - (-1)/(-5). Put u, i, -0.1 in descending order. -0.1, u, i Suppose 4*r - 22 = -6. Suppose -s - r*x + 9 = -2*s, 0 = 4*s - x - 9. Let f = -1 + 1. Sort 1/4, f, s in ascending order. f, 1/4, s Let w = -12 + 11. Suppose 0 = -6*s + s. Let m = s - -3. Sort m, 5, w in descending order. 5, m, w Let m = 19 - 13. Let i = 4 - m. Sort 0.5, -3/5, i in descending order. 0.5, -3/5, i Let i(s) = -3*s + 20. Let c be i(5). Sort c, 4, 3, 1 in decreasing order. c, 4, 3, 1 Suppose -5*d - 22 = -2*s, -4*d - 4*s - 12 = -0. Sort 13, 2, d, -1. d, -1, 2, 13 Let x be 6/9*(-4 - -10). Let i = x - 26/7. Sort -2/9, i, -2/3. -2/3, -2/9, i Let t = 24 + -19. Put 3, t, 1, -2 in ascending order. -2, 1, 3, t Let d = -86 - -1464/17. Let b = 0.9 - 1. Let o = b + 0.1. Put d, o, -0.3 in ascending order. -0.3, o, d Suppose -3*u - 2 = 2*f, f + 2 = 3*f + 5*u. Let v(l) = l**2 + 4*l - 1. Let s be v(-5). Suppose -2*z + 1 = -z. Sort z, s, f in descending order. s, z, f Let n be ((-6)/10)/(2/(-10)). Sort 5, n, 1 in increasing order. 1, n, 5 Let r = 1.2 + -0.7. Let y be 1*(-1 + 2/6). Put y, -0.1, r in increasing order. y, -0.1, r Let t = -7 - -7.8. Let p = t - -1.2. Sort 0.4, p, -1 in decreasing order. p, 0.4, -1 Let f = 704/9 - 78. Let o = -2 - 2. Let p = 293/639 + -1/71. Sort o, f, p. o, f, p Let s(f) = -2*f - 3. Let h be s(-3). Suppose 0 = 3*v - v. Sort h, v, -2 in increasing order. -2, v, h Suppose 12 = 2*l + l. Let u = -5 - 2. Let d = u + 8. Sort l, d, -3. -3, d, l Let k(u) = -u**3 - 7*u**2 - 10*u - 26. Let d be k(-6). Sort 5, d, 7. d, 5, 7 Suppose k + 20 = -3*k. Let j be k/(-2)*8/5. Sort j, -4, -2 in increasing order. -4, -2, j Let i be (-2)/9 + 130/180. Let y be -12*((-28)/12 + 2). Put 2, i, y in descending order. y, 2, i Let n(j) = j**3 + 8*j**2 + 8*j + 10. Let f(x) = -8*x**3 + 2*x**2 - x. Let s be f(1). Let d be n(s). Suppose -4*t + d*t = 1. Put 3, -4, t in descending order. 3, t, -4 Let f(n) = -n**3 - 5*n**2 + 6. Let v(h) = h**3 + 13*h**2 - 15*h - 19. Let j be v(-14). Let z be f(j). Sort 4, z, 3. 3, 4, z Let t be 0/(5/(5/(-2))). Suppose 0*m - 2*m = t. Let f be 5*-1*3/(-5). Sort -2, m, f in decreasing order. f, m, -2 Suppose 9 - 54 = 5*k. Let c = k - -11. Sort c, -1, 0 in descending order. c, 0, -1 Suppose 5*b - 13 = f - 0, 17 = 3*f - b. Let x be 3 - f - -2*1. Let r = 4 + x. Sort 5, 0, r in increasing order. 0, r, 5 Let f = 3.4 + -7.8. Let z = f + -0.6. Suppose -3*h + 5*y - 4 - 19 = 0, -15 = -h - 4*y. Put h, 0.2, z in ascending order. z, h, 0.2 Let a = 4/47667 + -4338193/5910708. Let c = a + -1/62. Put -5, c, 0.4 in descending order. 0.4, c, -5 Let s = 6 + -1. Suppose -2*u - s*j + 8 = -8, -3*u + 3*j - 18 = 0. Let m be (u/(-18))/(1/2). Put m, 0.3, -3 in decreasing order. 0.3, m, -3 Suppose 2*c - 2*m + 2 = 0, c + m = -2 + 3. Sort 3, -3, -5, c in descending order. 3, c, -3, -5 Let z(b) be the second derivative of -1/12*b**4 - 4*b + 0*b**2 + 0 + 1/6*b**3. Let v be z(2). Put 1, v, -4 in decreasing order. 1, v, -4 Let t = 12 - 6. Let u = 8.5 - t. Let m = -0.5 + u. Sort -5, m, -0.4. -5, -0.4, m Let y = -0.3 + 0.35. Let p be (14/22 - 3 - -2)/(-2). Put -0.4, p, y in descending order. p, y, -0.4 Let w(d) = -d**2 - 6*d + 7. Let z be w(-7). Sort 12, -2, z. -2, z, 12 Let u(x) = x**3 - x**2 + x - 1. Let m be u(2). Let h = 15 - 13. Let y be (-6)/(0 + 3) - h. Sort 3, m, y in increasing order. y, 3, m Let r = 13 + -13.16. Let x = -4.16 - r. Put 0.2, x, -0.5 in increasing order. x, -0.5, 0.2 Let l be (-1)/(-2) + 6/4. Let x be (-2 - -5)*1/3. Put -5, l, x in decreasing order. l, x, -5 Let v be ((-15)/5)/(4 - 3). Put v, 4, -2, 2 in increasing order. v, -2, 2, 4 Let g = 81 + -647/8. Let k be (-19)/15 - (-6)/(-15). Put g, 3, k in increasing order. k, g, 3 Suppose 5*l + 6 + 19 = 0. Sort -1, -3, l in increasing order. l, -3, -1 Suppose 3*h = h + 6. Suppose -h*b + 4 = 10. Sort b, 3, -5. -5, b, 3 Let m(w) = 4*w**2 + w. Let h be m(-1). Let i = 0 - 1. Put i, h, -2 in ascending order. -2, i, h Let a = 11 - 8. Suppose 4*h + 9 = a*c, 0*h + 2*h = 2*c - 6. Suppose 20 = -c*j - j. Sort 3, j, 2 in decreasing order. 3, 2, j Let f = 28 + -7. Let x be ((-14)/f)/((-14)/(-3)). Sort x, 5, -1/5 in descending order. 5, x, -1/5 Let x(b) = -b - 2. Let n be (4/10)/(1/(-5)). Let f be 15/(-9) - n/(-6). Let l be x(f). Sort l, -2, -4 in increasing order. -4, -2, l Suppose -2*x = -4*f - 8, -4*f - 2*x + 8 = -f. Let o = 3 + 0. Suppose f = p + o*p + 20. Sort 2/5, p, 4. p, 2/5, 4 Let t = -4.97 + 5. Let i = 0.23 - t. Let p = i - 0.2. Sort 1/2, p, 2 in descending order. 2, 1/2, p Suppose 5*n + 9 = 2*n. Let p be (39/819)/(-1 - 21/(-18)). Sort p, -1/5, n. n, -1/5, p Let v(y) = 3*y + 56. Let g be v(-17). Let z = 7 - 4. Suppose -3*b + r - 2 = 8, b - z*r - 2 = 0. Sort g, -1, b in decreasing order. g, -1, b Suppose 0 = 3*k + 2*k + 5. Put k, 3, 5 in increasing order. k, 3, 5 Suppose 0 = -28*h + 2 + 110. Suppose 5*u - 6 = -1. Sort u, -5, h in ascending order. -5, u, h Let l be (-2)/(-12)*2 - -1. Let w = -54 - -59. Let p = 0.06 + -2.06. Put p, w, l in increasing order. p, l, w Suppose 4*w = -0*w + 20. Sort 7, 3, w in ascending order. 3, w, 7 Let u be (-19)/4 + (-3)/12. Let y = 457 + -458. Sort 0, y, u in decreasing order. 0, y, u Suppose 12*b = 92 - 32. Suppose 5*q - 2*t = 11, -q + 3*t + 9 = 4*q. Put -1, q, b in descending order. b, q, -1 Let o = -28 + 29. Sort 2, o, 14 in increasing order. o, 2, 14 Let b be 6/(-4)*(-3 + 5). Put -2, 4, b in decreasing order. 4, -2, b Suppose 0*q = 3*q - 9. Let h be 2/7 - (-2)/(-7). Suppose 2*s - 40 = -8*s. Sort q, h, s in increasing order. h, q, s Let u = -21 - -26. Put 0.3, 3/7, u in descending order. u, 3/7, 0.3 Let g(b) = -b**2 + 5*b - 5. Let a be g(5). Put a, 3, 4 in descending order. 4, 3, a Let y = -57 + 55.02. Let x = -2 + 1.98. Let i = y + x. Put -1, i, 4 in decreasing order. 4, -1, i Let m be 1 + 14/(-16) - 476/224. Sort -4, m, 0, 4 in decreasing order. 4, 0, m, -4 Let n = 2 + 3. Let v(k) = k**3 - k**2 - k - 5. Let t(c) = c + 5. Let a be t(-5). Let r be v(a). Sort -3, n, r in increasing order. r, -3, n Suppose 0 = p + 3*p + 20. Let z be (p/3)/((-1)/(-3)). Suppose -3*d - 4*h + 2 = 0, -d + 8 = 2*d - 2*h. Put d, -4, z in ascending order. z, -4, d Let f be 6/4*1/3. Suppose -1 = -5*r + z, 0 = 3*r - 0*z + 2*z - 11. Put f, r, -2/9 in ascending order. -2/9, f, r Let d(s) = s**3 - 5*s**2 - 4*s - 7. Let k be d(6). Sort k, 0, -5 in descending order. k, 0, -5 Let n be ((-24)/(-126))/(2/(-3)). Let k = -30852 + 6386408/207. Let s = -10/23 + k. Sort -4, s, n in decreasing order. s, n, -4 Suppose 6 = 4*s - 2*s. Put -2, s, -1 in increasing order. -2, -1, s Let g(m) be the second derivative of m**5/20 - m**4/2 + 5*m**3/6 - 7*m**2/2 + 2*m. Let l be g(5). Let z = l - -4. Sort 4, z, -1 in decreasing order. 4, -1, z Let u be (4/2 + -3)*-3. Let x = -5 - -2. Sort u
{ "pile_set_name": "DM Mathematics" }
= 6*j**3 - 184*j**2 - 60*j - 8. Let k be v(31). Solve 58*n - k*n - 4 = 0 for n. 1 Let r be (663/6 - 5)/((-2)/4). Let z = -210 - r. Solve 7 = -6*a + z for a. -1 Let o be 158/(-2)*(3 - 4). Let m = -74 + o. Suppose 0 = 3*b + 2*g + 2, 0 = m*g + 5. Solve z = -3 - b for z. -3 Let x(s) = -82*s**2 - s - 1. Let f be x(-1). Let a be (14/(-4))/(116/(-2784)). Let c = a + f. Solve 4 + 0 = -c*l for l. -2 Suppose -5*i + 64 = h, -8*h + 11*h = -7*i + 88. Solve 24 - 76 = i*o for o. -4 Suppose 14*v = -14*v + 56. Suppose -56 = -12*r - v*r. Solve -r = 33*c - 32*c for c. -4 Let x be (0/(-1))/((-24)/20*(-40)/(-24)). Let a = 10 + 1. Solve a*s = -x - 22 for s. -2 Suppose p + 96 = 4*j, j - p + 29 = -14*p. Solve 21 = j*x - 25 for x. 2 Let i = -3588 - -3588. Solve 20*p - 16*p + 4 = i for p. -1 Suppose -4*y + 7*y = -s + 12, -4*s + 6 = -2*y. Suppose c = 3*p + 5, c + 2*p + 3*p = -s. Solve 7*d - 4*d = c*d for d. 0 Let b(o) = o**3 + 6*o**2 + 6*o - 5. Let s(w) = 5*w**2 + 42*w + 12. Let v be s(-8). Let k be b(v). Solve -4 = -q + k*q for q. -2 Let y(g) = 142*g + 13044. Let l be y(-90). Solve 0 = 5*n + 28*n + l for n. -8 Let u be (18/5)/(90/300). Let d be 1 + 26/(-39)*(-3 - 0). Suppose -o - d*c = -22, 13 = 2*o + 5*c - 27. Solve -10*b = -u*b + o for b. 5 Let r be (-3 - (-22)/8) + 42/8. Let n(g) = -g**3 + g**2 - 23*g + 50. Let a be n(2). Solve r*m + a = 25 for m. 5 Suppose 106*u - 161*u + 605 = 0. Solve -u*d = -34 - 10 for d. 4 Let g(c) = 4*c**2 + 16*c - 64. Let f be g(-7). Solve -f = 50*z + 30 for z. -1 Let k be (-44)/10 - 6/(-15). Let x(g) be the third derivative of -g**4/24 - g**3/6 - 744*g**2. Let i be x(k). Solve -i*a + a = 0 for a. 0 Suppose -2*m = -38*a + 37*a - 9, -5*m - 6*a - 20 = 0. Solve 0 = 24*r + 122 - m for r. -5 Let n = -16024 + 16024. Solve -6*p - 5 + 47 = n for p. 7 Let q = -74 + 143. Suppose -76*k + 85*k = -576. Let v = q + k. Solve 0 = 3*b - v - 1 for b. 2 Suppose 0 = -71*m + 48*m + 1794. Solve 4*l - 98 = -m for l. 5 Let s(z) = 32*z - 782. Let r be s(25). Solve -r*t + 68 + 22 = 0 for t. 5 Let m(q) = 3*q - 3. Suppose -3*r - y + 5 = 2, 5*r + 2*y - 4 = 0. Let u be m(r). Let t be (180/(-70)*7)/(-2 - -1). Solve 0 = u*g + 3 - t for g. 5 Let w = -11069 - -11094. Solve -w*g = -61 - 89 for g. 6 Let c be ((-6)/((-30)/25) - 8) + -4 - -32. Solve -c*q + 215 = 18*q for q. 5 Let q(f) = -3*f - 34. Let k be q(-14). Suppose -k = -4*u - 148. Let d = 35 + u. Solve d = -4*b + 6*b + 10 for b. -5 Suppose -7*r = -3*r - 28. Suppose 3*y = -2*z + 7 + 5, -5*z - y = -17. Suppose r*d = z*d. Solve d = p + p - 2 for p. 1 Let b = 888 + -877. Suppose -12*r = b*r - 161. Solve -r*m = -13*m - 18 for m. -3 Let g be (16/(-4) - -3)*-3. Let j be ((-4)/g*-2)/(66/99). Solve 0 = -x - j*x + 15 for x. 3 Let u = -2828 + 2844. Solve -5*d - u = -13*d for d. 2 Let j be (-10 - -11) + (6 - (2 - 5)). Let g = 11 - 11. Suppose -3*d - d + 16 = g. Solve -2*q + d*q = -j for q. -5 Let s be 56/35 + -2 - (-2)/5. Suppose 0*i + i + 5*u - 7 = s, -4*i + 12 = 4*u. Solve i*n + 5*n - 7 = 0 for n. 1 Let w = 10190 + -10216. Let s be (-1)/(-3) - 166/(-6). Let u = s + w. Solve u*o + 0 - 8 = 0 for o. 4 Let i be (-5)/(-2)*(-24)/(-15) - 3. Solve -15*q + i = -16*q for q. -1 Let r(o) = -o**2 - 18*o + 14. Let l be r(-17). Suppose -l*c = -26*c - 15. Suppose 3 + 9 = c*w. Solve w*b - 5 = -b for b. 1 Suppose 793*u + 189 = 820*u. Solve -u*v - 6 = -6 for v. 0 Let u(k) = -3*k + 9. Let q(a) = 2*a - 7. Let g(d) = -4*q(d) - 3*u(d). Let o be g(7). Solve j = 10 - o for j. 2 Suppose 2*y - f - 534 = 0, -y = -f + 116 - 386. Solve 0 = 3*q - 47*q + y for q. 6 Suppose 23 = -2*c + 25 + 62. Solve -c = -2*u - 32 for u. 0 Let n = 243 + -239. Suppose -2*v = -2*q - 52, -7*v + 2*v = -n*q - 134. Solve v = -14*x + 8*x for x. -5 Let r(p) = -p**3 - 8*p**2 + 12*p + 29. Let g be r(-9). Let q(t) = 8*t - 9. Let v be q(g). Solve 0 = -3*j + v*j + 16 for j. -4 Suppose -2*r - 4*b + b = -740, 0 = -5*r - 2*b + 1850. Solve u - 366 + r = 0 for u. -4 Let f be (-7)/(-2)*2/1. Let y(o) = o**2 - 1402*o + 12551. Let u be y(9). Solve -21 = -f*m + u for m. 5 Let b be ((-3)/6)/(-1)*2. Let t be (-1 - -4) + 1/b. Let i(h) = 50*h + 803. Let q be i(-16). Solve -t + q = n for n. -1 Let t be (-144595)/(-2541) + (-4)/(-42). Solve t*r = 15*r for r. 0 Let g(z) = 406*z**3 + 2*z**2 + 7*z + 6. Let n be g(-1). Let y = -341 - n. Solve 4*r = -y + 52 for r. -3 Suppose 4*d - 60 = 4*n, 10*d + 1 = 11*d. Let y(b) = b**3 - 2*b**2 - 6*b + 2. Let s be y(4). Let q be (1 - s/n)/(8/28). Solve -5*v = q - 21 for v. 3 Let f be -2 + -1 - -101 - 0. Let l be (-60)/35*f/(-4). Let p be 6/(-4)*(-112)/l. Solve 0 = i - p*i for i. 0 Let x(j) = 86*j + 4. Let q be x(2). Suppose 0 = 9*o + 68 - q. Suppose 11*i + 6 = o*i. Solve i = -5*g + 1 for g. -1 Suppose 41852*k + 180 = 41862*k. Solve -k = y - 10 for y. -8 Suppose -3*u + 75 = -0*u. Let t(p) = -9*p - 54 + 5*p - 2*p. Let o be t(-9). Solve o = -2*d + 7*d - u for d. 5 Let q(j) = j**2 + 128*j + 2506. Let y be q(-24). Solve -y*g - 210 = -45*g for g. 6 Let q be -39 - ((-23)/9 - 12/27). Let o be 164/14 - q/126. Solve o*y + 4 - 40 = 0 for y. 3 Let s(x) = 15*x**2 - 177*x - 14. Let a be s(14). Solve v = a - 453 for v. -5 Suppose 9*b - 24 = 66. Let h be (9/5)/((-77)/b + 8). Solve -4*w - h = 2 for w. -2 Let t be (2/(-6))/((-79)/948). Suppose -5*f = -t*f + b - 2, -3*f + b = -6. Solve -7*d + 15 = -f*d for d. 3 Let f = -5 + 5. Suppose 0 = -12*v + 7*v + 5. Suppose -3*y - v = -7. Solve y*z - 6*z + 4 = f for z. 1 Suppose 8*l + 22*l = l. Solve l = 8*q - 14*q - 42 for q. -7 Suppose -5*d + 3*i + 0*i + 21 = 0, 5*d - 17 = i. Let s be d/((-36)/520)*(-18)/(-15). Let c = -48 - s. Solve 0 = -c*x + x - 3 for x. -1 Let d(y) = -11*y + 24 - 2*y**2 + 20*y - 27*y. Let u be d(-10). Solve -5*v + u*v = 0 for v. 0 Suppose 55*x + 470 - 1515 = 0. Solve 0 = -21*i + 43*i - x*i for i. 0 Let u(r) = -29 - 12*r - 75 - 8*r - 6*r. Let v be u(-4). Solve 12*k - 13*k - 2 = v for k. -2 Let t be (113 - 3)/(2 + (1 - 1)). Suppose 4*k - 69 = 3*w, w + 8 + t = 4*k. Let d be (2/(-3))/((-5)/k). Solve -4*p = -d*p - 4 for p. 2 Suppose -2*u + 4*l = -l - 2343, 2*u + 10*l = 2238. Solve u - 1206 = -13*q for q. 4 Let w(y) = 7*y**2 + 35*y + 60. Let l be w(-6). Solve 11*u = -6*u - l for u. -6 Suppose -2 + 5 = a. Suppose 58*t = 84*t + 46*t - 360. Solve a + 2 = t*q for q. 1 Let c(z) be the first derivative of z**3/3 + 4*z**2 + 24*z + 37. Let g be c(-9). Solve 5*q - g + 18 = 0 for q. 3 Let c be (273/35 - 12)*3*30/(-27). Solve k = c*k - 13 for k. 1 Suppose 4*f = 4*y + 72, 2*y - 51 = -2*f - y. Suppose -15*d = -f*d. Let o = -4 + 4. Solve 5*g + o*g - 20 = d for g. 4 Let i(n) = n**3 + 6*n**2 + 13*n + 9. Let z be i(-5). Let g = 55 + z. Solve 4*m + g = 16*m for m. 2 Let l be ((-178)/16)/((-13)/(416/(-252)) - 8). Solve 0 = l*d - 83*d for d. 0 Suppose 7*p = 20 + 78. Let q = 62 - p. Suppose -10*k + 13*k = q. Solve 3*r + k = -r for r. -4 Let l be 610/(-244) + (-550)/(-12) - 4/3. Solve 481*g + l = 467*g for g. -3 Suppose -2*g + 30 - 36 = 0. Let p = g - -6. Suppose 2*i - 3*i = -4*c - 20, p*i - 2*c - 60 = 0. Solve 0 = -5*x - 0 + i for x. 4 Suppose -14 = -17*i + 10*i. Suppose q - 4*q = -2*g + 6, 0 = 5*q - 20. Solve -1 = i*x + g for x. -5 Let w = -33231 - -33234. Solve 0*n = -w*n + 4*n for n. 0 Let k(v) = -3*v**3 - 16*v**2 + 3*v - 14. Let y(m) = -3*m**3 - 17*m**2 + 2*m - 13. Let j(w) = -4*k(w) + 5*y(w). Let l be j(-7). Solve -l*d + 5 - 10 = 0 for d. -1 Suppose -39 = -5*b - 29. Suppose -b*f = -0*f - 5*k + 4, 5*k + 5 = 5*f. Suppose 4*q - 4 = f*q + 4*o, q - o = 13. Solve -q = -i - 3*i for i. 4 Let b(a) = -2*a**3 + 24*a**2. Let q be b(12). Suppose 18*r + 3*r - 168 = q. Solve -r*y - 20 = -4*y for y. -5 Suppose 4*o - 14 = -2*c - 20, 3*o = -c - 6. Suppose -5*z + 2*h + 5 = -18, -2*z - 2*h = -12. Solve -c*l - 1 = z for l. -2 Suppose 6*j - 74 = -8. Let h = -22 + j. Let i(o) = -o**2 - 13*o - 16. Let f be i(h). Solve 5*a = f + 4 for a. 2 Let v(y) = -21*y + 593. Let b be v(26). Solve 0 = b*h - 41*h - 12 for h. 2 Let b(h) = -h**2 + 316*h + 6371. Let g be b(-19). Let o = 6 + 1. Solve 4 = g*f - o*f for f. -4 Let s(f) = -f**3 + 8*f**2 + 48*f - 363. Let n be s(7). Solve -8 - n = -5*g for g. 6 Let a(n) = 2*n**2 - n - 14. Let y be a(4). Solve y*x + 36 = 32*x for x. 2 Let n(g) = -30*g**2 - 3*g + 1. Let s be n(2). Let d = s + 133. Solve -p + 13 - d = 0 for p. 5 Suppose 4*c - c + 1
{ "pile_set_name": "DM Mathematics" }
s 91571 composite? False Is 1879495 a composite number? True Is 89935 a composite number? True Is 50087 composite? False Is 7633 composite? True Is 6407 a composite number? True Is 42037 composite? True Is 293933 a composite number? True Is 16087 prime? True Is 731 prime? False Is 5378411 a composite number? False Is 15595 a composite number? True Is 3137 composite? False Is 238423 composite? False Is 115183 a prime number? True Is 400739 a composite number? False Is 48437 composite? False Is 28699 a composite number? True Is 19235 prime? False Is 163927 composite? False Is 11113 prime? True Is 62047 a prime number? True Is 79817 prime? True Is 9533 a composite number? False Is 132631 a prime number? True Is 69313 composite? False Is 191161 a prime number? True Is 53743 a prime number? False Is 127039 a prime number? False Is 1295821 composite? True Is 1271 a composite number? True Is 3935 a composite number? True Is 100999 prime? True Is 2633 a prime number? True Is 509809 composite? True Is 651397 prime? True Is 13555 a prime number? False Is 33907 prime? False Is 101482 composite? True Is 39469 composite? True Is 237401 prime? True Is 1657 a prime number? True Is 41407 a prime number? False Is 38993 a composite number? False Is 23329 a prime number? False Is 45887 a prime number? True Is 34553 a prime number? False Is 125831 composite? True Is 96527 composite? False Is 6085 a prime number? False Is 51087 a composite number? True Is 19882 composite? True Is 13579 a prime number? False Is 1864691 composite? False Is 10495 prime? False Is 6863 composite? False Is 86923 prime? True Is 45113 prime? False Is 67307 a composite number? False Is 3347 composite? False Is 31757 a prime number? False Is 8285 a prime number? False Is 5155 a prime number? False Is 26303 prime? False Is 54089 prime? False Is 123887 a prime number? True Is 54853 prime? False Is 581881 a prime number? False Is 1543 a composite number? False Is 83347 composite? True Is 550489 prime? True Is 48017 a composite number? False Is 10903 prime? True Is 523099 a prime number? False Is 25261 a composite number? False Is 303971 a composite number? True Is 1025821 composite? True Is 150701 prime? False Is 7135 prime? False Is 15166 prime? False Is 57367 a composite number? False Is 10243 composite? False Is 3491 a composite number? False Is 959297 a composite number? True Is 31431 a composite number? True Is 21374 prime? False Is 1139 a prime number? False Is 9569 prime? False Is 20413 composite? True Is 9967 composite? False Is 229309 composite? False Is 10373017 composite? False Is 757 composite? False Is 120229 composite? True Is 124766 a composite number? True Is 58469 prime? False Is 2179 a prime number? True Is 211493 composite? False Is 398285 a composite number? True Is 11899 prime? False Is 265037 prime? True Is 9173 a prime number? True Is 10085 a prime number? False Is 2437789 composite? True Is 6613 a composite number? True Is 331879 prime? False Is 2491 prime? False Is 5854 a prime number? False Is 136879 prime? True Is 5987 a composite number? False Is 4247 a prime number? False Is 182581 a prime number? False Is 98573 a composite number? False Is 873581 a prime number? False Is 27533 a prime number? False Is 1954 composite? True Is 710169 prime? False Is 1937 prime? False Is 797161 a prime number? True Is 5209 composite? False Is 7961 a prime number? False Is 288787 composite? True Is 932303 prime? True Is 120293 a prime number? True Is 452131 composite? False Is 12237 a composite number? True Is 22309 prime? False Is 142697 composite? False Is 3687071 composite? False Is 82226 composite? True Is 37849 composite? True Is 121645 composite? True Is 6103 a prime number? False Is 1133 composite? True Is 49103 composite? False Is 703 prime? False Is 29473 a prime number? True Is 2707319 composite? False Is 12323 composite? False Is 552641 prime? False Is 324463 prime? False Is 3299 a prime number? True Is 2385881 a prime number? True Is 5461 a prime number? False Is 14837 a prime number? False Is 9587 a composite number? False Is 244907 a prime number? False Is 5027 prime? False Is 739 prime? True Is 21787 composite? False Is 254753 a composite number? False Is 719 a composite number? False Is 295513 prime? True Is 90065 composite? True Is 3313 a composite number? False Is 347683 prime? False Is 383059 a prime number? False Is 261151 composite? True Is 87853 a prime number? True Is 8579 a composite number? True Is 93887 prime? True Is 750759 a prime number? False Is 47581 a composite number? False Is 8117 a composite number? False Is 380113 prime? False Is 53255 a composite number? True Is 22013 a composite number? False Is 845581 a composite number? True Is 53473 a prime number? False Is 164999 a composite number? False Is 2186 a composite number? True Is 897595 prime? False Is 2442941 composite? False Is 204653 a composite number? True Is 52807 a composite number? False Is 3389 a prime number? True Is 46481 a composite number? True Is 301778 a prime number? False Is 59441 a prime number? True Is 1819003 a composite number? True Is 7068101 a prime number? True Is 45739 a composite number? True Is 1945957 a composite number? True Is 13463 a composite number? False Is 9077 a prime number? False Is 685 prime? False Is 1618 composite? True Is 81119 a prime number? True Is 205651 a composite number? False Is 27053 composite? True Is 16909 a prime number? False Is 28387 a composite number? False Is 1822 composite? True Is 420757 a prime number? True Is 355193 a composite number? False Is 35071 composite? True Is 6007 a prime number? True Is 50429 a prime number? False Is 11721 a composite number? True Is 5227 prime? True Is 239929 prime? True Is 4907161 a prime number? False Is 45307 composite? False Is 30427 a composite number? False Is 9031 a composite number? True Is 62547 a prime number? False Is 125299 composite? False Is 1432945 a prime number? False Is 28807 composite? False Is 2179 composite? False Is 148609 composite? False Is 2066879 a composite number? False Is 1277 prime? True Is 29123 a prime number? True Is 131329 a prime number? False Is 284341 a composite number? False Is 37322 a composite number? True Is 13309 prime? True Is 287981 composite? True Is 617951 a composite number? False Is 139361 prime? True Is 1305779 prime? False Is 82067 a composite number? False Is 319565 prime? False Is 150266 a composite number? True Is 87146 composite? True Is 14923 composite? False Is 11243 a composite number? False Is 343601 prime? True Is 185587 a prime number? False Is 15727 composite? False Is 1839 a composite number? True Is 36739 composite? False Is 31379 composite? False Is 42131 prime? True Is 2757 prime? False Is 178937 a prime number? False Is 21787 a prime number? True Is 42623 composite? True Is 296051 prime? False Is 1430521 a prime number? True Is 1163 a prime number? True Is 3761 composite? False Is 1149037 composite? False Is 767 a composite number? True Is 10097 a prime number? False Is 81409 a prime number? True Is 56359 composite? False Is 132513 a prime number? False Is 1012903 a prime number? True Is 51091 prime? False Is 12039 prime? False Is 19263 a composite number? True Is 13241 a composite number? False Is 11861 a composite number? True Is 14173 composite? False Is 907 a prime number? True Is 560249 prime? True Is 147947 a prime number? False Is 7699 a composite number? False Is 56053 a prime number? True Is 48383 composite? False Is 11015 a composite number? True Is 178681 a prime number? True Is 139667 a prime number? False Is 76441 a composite number? False Is 61781 prime? True Is 2379677 composite? True Is 77897 prime? False Is 241589 a prime number? True Is 5701 a composite number? False Is 591287 prime? True Is 170579 a prime number? True Is 36415 a composite number? True Is 54437 composite? False Is 23651 composite? True Is 12981 a composite number? True Is 432833 prime? True Is 23245 a prime number? False Is 147607 prime? True Is 49255 a composite number? True Is 4721 composite? False Is 1173239 a composite number? False Is 11383 a prime number? True Is 8121 a composite number? True Is 259 composite? True Is 64289 composite? True Is 37747
{ "pile_set_name": "DM Mathematics" }
ters picked without replacement from octzmmz? 1/105 Calculate prob of sequence ooao when four letters picked without replacement from oaooaaoooaaa. 2/33 Three letters picked without replacement from {v: 2, a: 1, r: 1}. Give prob of sequence aaa. 0 Calculate prob of sequence jjt when three letters picked without replacement from tntnjnnnj. 1/126 What is prob of sequence xxx when three letters picked without replacement from eneexxxsnnxnsen? 4/455 What is prob of sequence bfbi when four letters picked without replacement from {i: 2, b: 2, f: 4}? 1/105 Two letters picked without replacement from rrnurnrunnrrr. What is prob of sequence ur? 7/78 Three letters picked without replacement from vdvdddvvdvvvdd. What is prob of sequence dvd? 7/52 Calculate prob of sequence as when two letters picked without replacement from ssvavsvmaszzmzvxmxxa. 3/95 What is prob of sequence iw when two letters picked without replacement from iwiiiiiiiiiiw? 11/78 What is prob of sequence ukik when four letters picked without replacement from kukiikkkkk? 1/60 Three letters picked without replacement from {g: 2, b: 1, f: 1, v: 1, r: 2, c: 1}. Give prob of sequence rcb. 1/168 What is prob of sequence wyh when three letters picked without replacement from {w: 5, n: 2, h: 3, y: 3}? 15/572 Two letters picked without replacement from {s: 3, c: 1, t: 2, p: 3, w: 1}. Give prob of sequence pc. 1/30 Calculate prob of sequence ybby when four letters picked without replacement from byybybybybyb. 5/66 Four letters picked without replacement from {d: 5, u: 3, i: 1}. What is prob of sequence diuu? 5/504 Calculate prob of sequence iih when three letters picked without replacement from {i: 2, e: 2, h: 1}. 1/30 Four letters picked without replacement from {p: 9, y: 9}. What is prob of sequence ypyy? 21/340 What is prob of sequence xd when two letters picked without replacement from {l: 2, n: 1, d: 1, x: 1}? 1/20 What is prob of sequence abul when four letters picked without replacement from {b: 2, p: 1, a: 1, l: 1, u: 1, c: 1}? 1/420 Four letters picked without replacement from pzcppspppzcmpp. Give prob of sequence psmz. 2/3003 Two letters picked without replacement from {v: 1, h: 1, b: 1, u: 1, w: 1}. What is prob of sequence vw? 1/20 Calculate prob of sequence df when two letters picked without replacement from vxdkndfv. 1/28 Calculate prob of sequence tx when two letters picked without replacement from {x: 2, t: 1, a: 1}. 1/6 What is prob of sequence lm when two letters picked without replacement from llnnhm? 1/15 Calculate prob of sequence cctn when four letters picked without replacement from {n: 5, c: 2, t: 1, q: 3, f: 1}. 1/1188 Two letters picked without replacement from stimtbi. Give prob of sequence ib. 1/21 What is prob of sequence fc when two letters picked without replacement from fbc? 1/6 What is prob of sequence jjji when four letters picked without replacement from njjjjjjjjjjinjnj? 11/364 What is prob of sequence wj when two letters picked without replacement from {f: 1, w: 2, a: 2, j: 1}? 1/15 What is prob of sequence hhh when three letters picked without replacement from hfhhhhhhhf? 7/15 Four letters picked without replacement from bfbvbdfdfnfdjvndnbbn. Give prob of sequence ddfv. 4/4845 Four letters picked without replacement from mmqmmmmmmmmmmmmmmmmm. What is prob of sequence mmqm? 1/20 What is prob of sequence qvq when three letters picked without replacement from qccqacasvc? 1/360 Two letters picked without replacement from {c: 4, y: 2, e: 9, x: 3, d: 1}. Give prob of sequence xc. 2/57 Calculate prob of sequence ag when two letters picked without replacement from aagammaaaaaaaa. 11/182 Two letters picked without replacement from {r: 2, g: 1, e: 2, y: 1, m: 1}. Give prob of sequence gr. 1/21 Four letters picked without replacement from {f: 3, r: 13}. What is prob of sequence rfff? 1/560 Calculate prob of sequence mmmm when four letters picked without replacement from {m: 18, a: 1}. 15/19 Calculate prob of sequence ii when two letters picked without replacement from uii. 1/3 Calculate prob of sequence mq when two letters picked without replacement from {m: 10, q: 2}. 5/33 Three letters picked without replacement from ruuqhqrhqqhhqhhhhq. Give prob of sequence uhh. 7/306 What is prob of sequence ybg when three letters picked without replacement from gggggngggbgyy? 3/286 Calculate prob of sequence cc when two letters picked without replacement from pcpcpppp. 1/28 Three letters picked without replacement from {c: 1, q: 6, h: 5, t: 2, i: 1}. Give prob of sequence hci. 1/546 Calculate prob of sequence er when two letters picked without replacement from fnqecqqffnenqrq. 1/105 Calculate prob of sequence nnaz when four letters picked without replacement from nzazzanzn. 1/63 Calculate prob of sequence vvv when three letters picked without replacement from nvvbmvvnm. 1/21 Calculate prob of sequence nxvq when four letters picked without replacement from {q: 2, e: 3, v: 2, n: 2, b: 2, x: 4}. 4/4095 What is prob of sequence hu when two letters picked without replacement from {s: 1, o: 1, u: 1, z: 1, h: 1}? 1/20 Calculate prob of sequence jv when two letters picked without replacement from {h: 7, v: 2, j: 1, f: 2, w: 2, q: 2}. 1/120 Two letters picked without replacement from zhhhzzzz. What is prob of sequence hh? 3/28 Three letters picked without replacement from {p: 2, u: 2, q: 1}. What is prob of sequence puq? 1/15 Three letters picked without replacement from isv. What is prob of sequence vis? 1/6 What is prob of sequence alla when four letters picked without replacement from ttttttlaltta? 1/2970 Four letters picked without replacement from xjlxjjllxjj. What is prob of sequence ljxx? 1/88 Calculate prob of sequence iti when three letters picked without replacement from tttahii. 1/35 Two letters picked without replacement from {m: 1, f: 4, p: 2, k: 6}. What is prob of sequence fm? 1/39 Three letters picked without replacement from llwlllw. Give prob of sequence lww. 1/21 What is prob of sequence ssj when three letters picked without replacement from sssjjj? 3/20 Calculate prob of sequence uc when two letters picked without replacement from {o: 1, u: 2, i: 1, f: 2, c: 1}. 1/21 What is prob of sequence jj when two letters picked without replacement from jvhiijhhjij? 6/55 What is prob of sequence zu when two letters picked without replacement from {u: 1, w: 2, f: 1, l: 1, p: 2, z: 2}? 1/36 Four letters picked without replacement from {l: 4, v: 2, y: 2, x: 5}. What is prob of sequence yllx? 1/143 Three letters picked without replacement from huzgq. Give prob of sequence zhu. 1/60 What is prob of sequence bi when two letters picked without replacement from {s: 1, i: 2, b: 1}? 1/6 Two letters picked without replacement from {h: 1, u: 2, j: 1, l: 1, k: 2, o: 1}. Give prob of sequence lu. 1/28 Calculate prob of sequence ix when two letters picked without replacement from imxxmizmmxizzx. 6/91 Calculate prob of sequence lili when four letters picked without replacement from iiiiilliili. 7/165 What is prob of sequence mdmt when four letters picked without replacement from azadmtt? 0 Two letters picked without replacement from {b: 2, c: 4}. Give prob of sequence bb. 1/15 Three letters picked without replacement from {i: 2, h: 1, a: 2, r: 8}. Give prob of sequence rar. 28/429 Calculate prob of sequence cnun when four letters picked without replacement from {u: 1, l: 2, f: 2, c: 1, h: 1, n: 2}. 1/1512 Two letters picked without replacement from {h: 1, t: 1, e: 2, a: 3, k: 1, i: 4}. What is prob of sequence ht? 1/132 Three letters picked without replacement from {g: 6, i: 3, q: 3, v: 1, f: 1}. Give prob of sequence fgq. 3/364 Two letters picked without replacement from {l: 2, n: 3, v: 2, w: 1, f: 1, h: 3}. What is prob of sequence hn? 3/44 What is prob of sequence bph when three letters picked without replacement from bhhihbiiphhhbphbh? 4/255 What is prob of sequence mgeg when four letters picked without replacement from yygebybggbybybymmmmg? 2/4845 Three letters picked without replacement from offgyffyyffddgo. Give prob of sequence ydf. 6/455 Three letters picked without replacement from vooddovdoovovovdo. Give prob of sequence odd. 2/85 Four letters picked without replacement from {v: 7,
{ "pile_set_name": "DM Mathematics" }
e of -x**4/24 - x**3/3 + 2*x**2. Let w be h(-6). Put w, 1, -5 in increasing order. -5, 1, w Suppose 0 = -m - 2 + 6. Suppose -f + 0 = -3*k - 5, m*k + 28 = -4*f. Let w = -4 + 8. Sort w, -5, f in decreasing order. w, f, -5 Let z = 2 - 2.42. Let i = z + 0.02. Let s = -8 + 13. Put s, i, -3 in ascending order. -3, i, s Let r(w) = -w**3 - 8*w**2 + 16*w + 58. Let q be r(-9). Let n = -3 + 7. Sort n, q, 1. q, 1, n Let i = -9 - -12. Suppose -g = -4*d - 13, -5*d - g - 16 = -2*g. Put -1, i, d in decreasing order. i, -1, d Let g = -6 + 9. Let s = -4.1 + 3.1. Put -3, g, s in descending order. g, s, -3 Suppose 3*s - 20 = -2*s. Suppose i - s*i - 12 = 0. Sort -3, 2, i in descending order. 2, -3, i Suppose -2*f - 3 = f. Let o = -7 + 5. Let k(y) = y**2 + 3*y. Let w be k(o). Sort w, 1, f. w, f, 1 Let t(s) = -s**2 - 4*s - 3. Let v be t(-2). Let l be 1/2*(v - -1). Sort 5, 3, l. l, 3, 5 Let p = -5 + 10. Suppose 5*o - p*c = -0*c + 30, -8 = -o + 3*c. Suppose 4*m + 18 - 2 = 0. Put m, -5, o in descending order. o, m, -5 Let d = 19.5 - 20. Sort d, 3, -5. -5, d, 3 Suppose 0 = 3*b - 7 + 1. Sort 0, -5, b in ascending order. -5, 0, b Let j = -7 + 5. Let y = 4 - 3. Put y, j, -5 in decreasing order. y, j, -5 Suppose h = 3*m + 4, 8*h - 4*h - 16 = 0. Let f be 30/(-2)*(-7)/21. Suppose 8 = -f*s - 2. Put m, -0.4, s in descending order. m, -0.4, s Suppose -v - 3 = -1. Let f = 2 - 1. Put v, f, -3 in ascending order. -3, v, f Suppose -4*g + 4 = -2*g. Suppose -4*r = 3*a - 17, -4*r + 5*a - g*a + 23 = 0. Let j = -0.5 + 0.1. Sort r, 3/7, j in increasing order. j, 3/7, r Let r be 0 + (4 - -2) + 1. Suppose -r = -5*v + 3. Sort v, -1, -2 in ascending order. -2, -1, v Let y = -11 + 7. Sort -5, 0, y in increasing order. -5, y, 0 Let p = -3.5 + 4. Let a = 49/2 + -23. Sort 0.3, a, p in ascending order. 0.3, p, a Let i = -0.8 - 0.2. Let q = i - -1.2. Let o = -119/99 - -12/11. Put o, q, 2/3 in decreasing order. 2/3, q, o Suppose 3*z + 6 + 15 = 0. Let v = 3 + z. Sort v, 2, -3 in decreasing order. 2, -3, v Suppose -2*l - 5*i = -10, 3*l + 2*i - 5*i - 15 = 0. Suppose 2*f - 3 = 5*b, 3*b + 2 = f + 1. Sort b, -4, l in ascending order. -4, b, l Let t(x) = -3*x - 5. Let n be t(-5). Sort 2, n, -6. -6, 2, n Let b = 55 + -50.7. Let q = b + -4. Let i = q + 0.1. Sort i, 2, 0.1 in descending order. 2, i, 0.1 Let a = 19 - 24. Suppose -4*t - 2 = -2*t. Sort -0.5, a, t in decreasing order. -0.5, t, a Let c = -0.053 - 3.947. Put c, -1/5, 4 in descending order. 4, -1/5, c Let c = 18 + -17.93. Let z = c + -0.27. Put z, 0, 1 in descending order. 1, 0, z Let d = -15 + 19. Let c = 7.7 + -8. Sort 2/7, d, c in increasing order. c, 2/7, d Suppose -r = r - 5*u, 0 = 5*r + 3*u. Suppose 2*y + 12 = 2*h, -5*y + 3*h - 70 = -50. Sort y, 3, r. y, r, 3 Let c be (-3)/(-1)*(1 - 0). Let n = c + -5. Sort -4, n, -0.1 in ascending order. -4, n, -0.1 Let t = -27/124 + -1/31. Let l = -19.9 + 20. Sort t, l, -0.5 in ascending order. -0.5, t, l Let v(y) = -y**3 + 4*y**2 - 2*y - 2. Let d be v(2). Suppose 0*j = -d*j + 12. Sort -5, j, -3 in descending order. j, -3, -5 Let m = 13 - 8. Suppose -n - 5*f = -23, 5*n - f + 35 = 4*f. Suppose 6*g - 18 + 36 = 0. Put n, m, g in decreasing order. m, n, g Let h = 19.9 - -5.1. Let s = h + -23. Sort s, 0.4, -0.1 in descending order. s, 0.4, -0.1 Let f = -33 + 30. Put 31, f, -2 in descending order. 31, -2, f Suppose 69*l - 77*l = 8. Put 7, -3, 3, l in ascending order. -3, l, 3, 7 Let g(a) = a**2 - 4*a - 2. Let d be g(5). Let r(i) = i. Let x be r(-3). Let u = 14 + -10. Sort u, x, d. x, d, u Let c = 0.38 - -0.02. Let h = -322.8 + 323. Put -2, c, h in decreasing order. c, h, -2 Let n = -114/11 - -603/55. Let r be (2/(-6))/((-2)/6). Let y = r + -3/2. Sort n, y, 3 in descending order. 3, n, y Let n = -173 - -1381/8. Let p = 32 - 37. Put 0.1, p, n in increasing order. p, n, 0.1 Let w = 31.98 - 32. Sort w, 0, 0.4 in decreasing order. 0.4, 0, w Let k = -0.02 + -0.38. Let u = k - -0.5. Sort -0.1, u, 0 in descending order. u, 0, -0.1 Suppose 0 = -4*u + 7*u - 9. Let q = -2.06 + 0.06. Let y = 0 - q. Put y, -2, u in ascending order. -2, y, u Let o = -3.8 - 1.2. Let i = 21.9 + -23. Let l = i + 0.8. Put o, l, 4 in decreasing order. 4, l, o Let m be (-1 + 3 + 0)*1. Let l = -5 + m. Sort 3, l, -4 in decreasing order. 3, l, -4 Let u be 6 - 4 - 3 - -2. Sort -3, -1, u. -3, -1, u Suppose q - 4*q = 15. Let m(x) = x**3 - 6*x**2 - x - 43. Let w be m(7). Sort w, q, 0. q, w, 0 Suppose 3*o - o + 2 = -3*w, 0 = 3*w + 4*o + 10. Suppose -10*f - 25 + 75 = 0. Put w, -4, f in descending order. f, w, -4 Let n be -2*(0 - 6/4). Let u be ((-1)/1)/1 + -5. Let d be 10/(-12) + 1/u. Sort -2, d, n. -2, d, n Let u be 1/3*0 - 2. Suppose -1 = 2*f + 5. Sort u, f, 5. f, u, 5 Suppose h = -3*a - 11, 0 = 2*a + h - 2*h + 9. Put 4, a, 0 in increasing order. a, 0, 4 Let w(a) = -a**3 + 4*a**2 - 3*a + 2. Let b(q) be the first derivative of q**2/2 - 3*q - 3. Let r be b(6). Let s be w(r). Put -3, s, 0 in decreasing order. s, 0, -3 Let t(a) = a + 14. Suppose -3*y + 3*p + 18 = 0, -7*y + 2*y - p = -6. Let d be 2/y - (11 - -3). Let c be t(d). Sort 5, c, 2 in descending order. 5, 2, c Let x = 12 - 6. Suppose x*g - 10 = g. Suppose g*n + 4 + 2 = 0. Put 1/2, 1/5, n in descending order. 1/2, 1/5, n Let q(j) = 4*j**3 - j - 1. Let c be q(-1). Let v be (-40)/(-15)*(-3)/(-2). Suppose 0 = -v*s + 3*o - 18, 0*s - 2*s = o + 4. Sort s, c, -5 in decreasing order. s, c, -5 Let j(z) = -z**3 - 3*z**2 + 4*z + 6. Let l be j(-4). Put 2, l, -2 in descending order. l, 2, -2 Suppose -3*n - 12 = n - 4*i, -4*n + 2*i - 2 = 0. Suppose -n*f + 8 = -0*f. Let m be 1 + (-1 + 2 - -3). Sort f, -4, m. -4, f, m Suppose 5*n = -3*n + 16. Put 3, n, -5 in increasing order. -5, n, 3 Suppose 3*f = 5*w + 20, 3*w + w + 22 = 3*f. Let a be (-2)/3 - f/3. Sort a, -1, -5 in decreasing order. -1, a, -5 Suppose 0 = -19*q + 18*q - 2. Sort -1, 6, q in decreasing order. 6, -1, q Let a = -1 + 1.5. Let t = a + -1.5. Sort 3, t, 0.5 in descending order. 3, 0.5, t Let g be (0 - -1)*2*-9. Let b be ((-3)/(g/(-4)))/(-2). Put 1/2, -1/2, b in increasing order. -1/2, b, 1/2 Let f(r) = r - 14. Let m be f(9). Sort 7, m, 0 in descending order. 7, 0, m Let k be (-2)/(-3) + 21/9. Suppose -t = -k*o - 10, -4*o - 17 = -2*t + o. Sort t, 3, 2 in decreasing order. 3, 2, t Suppose -4*f - 3*c = -7, -4*c = 5*f - 5 - 4. Sort -3, f, -28 in ascending order. -28, -3, f Let x be (2*1)/((-12)/(-24)). Sort -2, x, 0 in increasing order. -2, 0, x Let f = -0.7 + 0.5. Let o = 7/23 + -54/253. Sort f, o, 0. f, 0, o Let l be (2/(-3))/((-16)/(-24)). Let r be l*-2*4/8. Sort r, -6, 5 in decreasing order. 5, r, -6 Suppose -16 = 5*p - 11. Put 2, 4, p in decreasing order. 4, 2, p Let m = -24.54 - -25. Let p = 8 - 8.06. Let l = p + m. Sort -0.3, l, -0.4 in descending order. l, -0.3, -0.4 Let s be (4/1 + 1)/1. Suppose -s*i + 4 = -1. Suppose -4*u - 8 = -2*k, 3*u = -6*k + k - 6. Put 3, u, i in increasing order. u, i, 3 Suppose 3*m = -7 - 8. Suppose 37*r - 36*r = 6. Suppose 3*x + y = r*y - 1, 3*y = 2*x. Put x, 7, m in descending order. 7, x, m Let n be ((-2)/4)/((-2)/4). Let m = 2 - n. Let o = -3 + 8. Sort m, -5, o in increasing order. -5, m, o Let q(m) = 2*m - 12. Let j be q(7). Sort j, 17, -2 in increasing order. -2, j, 17 Let p = 0 + 0.1. Put p, -1, 0, 4 in increasing order. -1, 0, p, 4 Let s(k) = -k**2 - k + 5. Let m be s(0). Let q be (-2)/8 - (-120)/(-32). Let d = q + 6. Put m, d, -4 in ascending order. -4, d, m Let v(p) = -p**2 - 8*p - 7. Let i be v(-6). Let g be 2/i + (-51)/15. Let a be 5/(-10)*10 + 4. Put 5, a, g in descending order. 5, a, g Suppose -2 - 3 = 3*s - 2*z, 2*z + 19 = -5*s. Let v(w) = -w**2 - 5*w + 8. Let o be v(-6). Let y be 7/2 - (-1)/o. Put -2, y, s in ascending order. s, -2, y Suppose 7*r + 30 = 9. Sort r, 5, -5, -2 in ascending order. -5, r, -2, 5 Let y = -14 + 13. Sort -11, y, 2/17. -11, y, 2/17 Let h = 3 + -13. Let w = h - -12. Sort w, -3, 1/3 in decreasing order. w, 1/3, -3 Let a = 0.1 - -0.1. Let y = -0.17 + -0.13. Put a, 0.3, y in ascending order. y, a, 0.3 Let c(r) = 3*r - 1. Let m be c(1). Suppose 2*v + 3*k - 20 = 0, 0 = 2*v + 3*v + m*k - 28. Sort v, 1, -5 in descending order. v, 1, -5 Let q(o) = -o + 6. Let i be q(3). Suppose 0*g - i*g + 14 = -2*c, c = 3*g - 10. Sort g, 0, 5 in descending order. 5, g, 0 Suppose 0 = -0*m + 17*m - 17. Let l(j)
{ "pile_set_name": "DM Mathematics" }
quence wmwq? 3/1430 What is prob of sequence cavi when four letters picked without replacement from {c: 1, f: 3, a: 1, v: 3, e: 2, i: 1}? 1/2640 What is prob of sequence ngee when four letters picked without replacement from eepengnggeg? 2/165 What is prob of sequence dddy when four letters picked without replacement from yodookk? 0 Calculate prob of sequence ss when two letters picked without replacement from {z: 6, w: 1, h: 2, s: 3}. 1/22 Two letters picked without replacement from {u: 14, e: 2, c: 2, b: 1}. Give prob of sequence cc. 1/171 What is prob of sequence tft when three letters picked without replacement from ftffftffffretffr? 1/56 What is prob of sequence dd when two letters picked without replacement from {d: 1, j: 1, h: 2}? 0 Three letters picked without replacement from {j: 2, r: 4, o: 1, w: 6}. What is prob of sequence rrj? 2/143 Three letters picked without replacement from {w: 2, c: 1, k: 4, o: 1}. What is prob of sequence wkk? 1/14 Four letters picked without replacement from {q: 8, s: 2, x: 4, j: 3}. Give prob of sequence qsjj. 1/595 Three letters picked without replacement from rpcpo. Give prob of sequence crp. 1/30 What is prob of sequence zrzq when four letters picked without replacement from rzzzq? 1/20 Three letters picked without replacement from {r: 2, k: 4, j: 2, a: 1, w: 1}. What is prob of sequence jrj? 1/180 What is prob of sequence fhh when three letters picked without replacement from {h: 3, f: 9}? 9/220 Four letters picked without replacement from qcqsqsqqccccqqqsqcs. Give prob of sequence ssqc. 9/1292 What is prob of sequence ooob when four letters picked without replacement from {d: 4, o: 6, b: 2}? 2/99 Two letters picked without replacement from vvxxxvvvvkvvx. Give prob of sequence xx. 1/13 Four letters picked without replacement from atsaassa. Give prob of sequence asts. 1/70 Two letters picked without replacement from iyyeqipyqpqppqeyp. Give prob of sequence ye. 1/34 What is prob of sequence sr when two letters picked without replacement from {m: 5, q: 7, s: 2, j: 1, z: 2, r: 3}? 3/190 Three letters picked without replacement from {d: 4, u: 7}. Give prob of sequence udu. 28/165 Two letters picked without replacement from xstvvvstastvxwtxxvvx. Give prob of sequence xw. 1/76 What is prob of sequence mmm when three letters picked without replacement from {m: 19, i: 1}? 17/20 What is prob of sequence bbb when three letters picked without replacement from bbbbjbbbbbj? 28/55 What is prob of sequence kpe when three letters picked without replacement from tttpeppzepkepp? 3/364 Calculate prob of sequence lq when two letters picked without replacement from {l: 2, a: 1, q: 4}. 4/21 What is prob of sequence bw when two letters picked without replacement from wjbfjwwejwjbxjww? 1/20 Calculate prob of sequence joo when three letters picked without replacement from {j: 1, o: 10, l: 1, n: 2}. 15/364 What is prob of sequence iril when four letters picked without replacement from liiilliirw? 1/84 Two letters picked without replacement from {i: 1, r: 1, o: 1, d: 1, y: 1}. Give prob of sequence dr. 1/20 Three letters picked without replacement from {v: 3, c: 2, n: 6, q: 1, w: 4}. Give prob of sequence ncv. 3/280 What is prob of sequence vfzz when four letters picked without replacement from {f: 4, z: 2, v: 1}? 1/105 Four letters picked without replacement from {n: 1, s: 1, y: 1, u: 4, i: 2}. Give prob of sequence unus. 1/252 What is prob of sequence qc when two letters picked without replacement from wuuomcqc? 1/28 Calculate prob of sequence psk when three letters picked without replacement from pppppkppsppkkpp. 11/910 What is prob of sequence fjvv when four letters picked without replacement from vzzvffvjzvzzvjj? 1/273 What is prob of sequence ijii when four letters picked without replacement from {j: 2, i: 3}? 1/10 What is prob of sequence tnk when three letters picked without replacement from {l: 1, k: 2, n: 6, t: 4}? 4/143 Three letters picked without replacement from hiqqiuqqhidqqqi. What is prob of sequence iqd? 2/195 Calculate prob of sequence zwzw when four letters picked without replacement from wwzwwwwwwwwwwzwwwz. 7/408 What is prob of sequence rt when two letters picked without replacement from {t: 2, r: 7}? 7/36 What is prob of sequence xzee when four letters picked without replacement from {z: 3, x: 3, e: 2}? 3/280 Three letters picked without replacement from ttunuhtnh. Give prob of sequence ttu. 1/42 Four letters picked without replacement from {n: 2, f: 3, o: 1, w: 5, s: 1, r: 3}. Give prob of sequence nwof. 1/1092 Four letters picked without replacement from wwwwcwwcccw. What is prob of sequence wcwc? 7/110 What is prob of sequence ywzw when four letters picked without replacement from pcwwwypzpwgpw? 1/858 Two letters picked without replacement from jjsjssjjssjjjjsssjs. What is prob of sequence sj? 5/19 Three letters picked without replacement from {h: 18, r: 1, w: 1}. What is prob of sequence hhh? 68/95 What is prob of sequence kj when two letters picked without replacement from {u: 4, j: 4, m: 3, k: 5}? 1/12 Four letters picked without replacement from {z: 2, p: 1, d: 1, j: 5, m: 6}. What is prob of sequence mmjd? 5/1092 Two letters picked without replacement from {i: 4, f: 1, n: 1, c: 1, y: 1}. What is prob of sequence cf? 1/56 Four letters picked without replacement from {g: 1, y: 1, a: 1, v: 1, r: 1, f: 2}. What is prob of sequence yaga? 0 Calculate prob of sequence bho when three letters picked without replacement from {b: 10, h: 1, o: 7}. 35/2448 Four letters picked without replacement from ozlogloguzlulloozo. What is prob of sequence lzoz? 1/408 Three letters picked without replacement from iiiiiriic. What is prob of sequence iri? 1/12 Two letters picked without replacement from {c: 1, j: 1, x: 2, e: 1}. What is prob of sequence ec? 1/20 Four letters picked without replacement from wsjsvwvdvpvvswwsvvd. Give prob of sequence sjvv. 7/3876 Calculate prob of sequence cx when two letters picked without replacement from {b: 4, g: 3, x: 4, j: 2, c: 1}. 2/91 Calculate prob of sequence dyt when three letters picked without replacement from tvzyqvqtydzttvdy. 1/140 Two letters picked without replacement from {r: 5, w: 1, f: 1, h: 2}. What is prob of sequence hf? 1/36 Three letters picked without replacement from zbuzegus. Give prob of sequence gze. 1/168 Three letters picked without replacement from hnjugnhnutuunhnjttht. Give prob of sequence ghh. 1/570 Two letters picked without replacement from auauyhtsttu. What is prob of sequence tt? 3/55 What is prob of sequence ggaj when four letters picked without replacement from gagojijggoaggaaaoa? 1/204 Four letters picked without replacement from nnzzn. Give prob of sequence znnz. 1/10 Calculate prob of sequence xpx when three letters picked without replacement from dfffffxdxdpfdx. 1/364 Three letters picked without replacement from kxpxpah. Give prob of sequence pak. 1/105 What is prob of sequence yyg when three letters picked without replacement from {g: 14, y: 5}? 140/2907 What is prob of sequence edi when three letters picked without replacement from bbbeqqdeqeqiiebewqb? 5/2907 Four letters picked without replacement from {u: 5, e: 3}. Give prob of sequence euue. 1/14 Two letters picked without replacement from {v: 1, k: 1, p: 5, b: 1, q: 3}. Give prob of sequence vb. 1/110 Calculate prob of sequence kld when three letters picked without replacement from {l: 7, u: 2, k: 1, s: 2, z: 1, d: 1}. 1/312 What is prob of sequence zq when two letters picked without replacement from xzjhzjqzjzx? 2/55 Calculate prob of sequence uyuu when four letters picked without replacement from yyyyuuyuyyyuyuuyyuy. 35/1292 Two letters picked without replacement from {b: 1, h: 2, p: 1, x: 1, s: 2}. Give prob of sequence bx. 1/42 What is prob of sequence yyuk when four letters picked without replacement from kkuyuuubuybubxy? 1/455 Calculate prob of sequence ggw when three letters picked without replacement from {g: 6, w: 7}. 35/286 Calculate prob of sequence uq when two letters picked without replacement from qqrqyqrwrrqqquyqrwu. 8/171 Calculate prob of sequence nnn when three letters picked without replacement from {n: 4, y: 14}. 1/204 What is prob of sequence aa when two letters pic
{ "pile_set_name": "DM Mathematics" }
st value? (a) -4 (b) -1/3 (c) -2/9 (d) -53/16 d Which is the second biggest value? (a) 2 (b) -0.4 (c) 6914/5 (d) 0.7 a What is the fifth biggest value in -2, 8, -1, 5, 41, 2/15? -1 Which is the fifth biggest value? (a) -0.3 (b) 5 (c) -2/5 (d) 3/8 (e) -9347 (f) -3 f What is the smallest value in 7, -2/5, 2/11, 0.392, -0.5? -0.5 Which is the fifth biggest value? (a) -2/7 (b) 42 (c) 2 (d) 35 (e) -11 (f) -7 f Which is the second smallest value? (a) -1.74 (b) -5 (c) -2/179 (d) -1/13 (e) -0.1 a What is the smallest value in 1/4, -2, -3, 14/9, -3/2, 0.7? -3 What is the third smallest value in -1.2, 13/4, 100? 100 Which is the second smallest value? (a) -429/56 (b) -1 (c) 1/3 (d) -31 a Which is the third smallest value? (a) -2/3 (b) 1/6 (c) -0.5 (d) -2556 c What is the biggest value in 7, -2, -4, -16.3, -2/13, 2/7? 7 Which is the smallest value? (a) 0.5 (b) 1/4 (c) -880 c Which is the fifth smallest value? (a) 3 (b) 1/9 (c) 2/11 (d) 1/11 (e) 237 (f) 1/8 a What is the third smallest value in -4003, 0.1, 0, -0.03, 0.2? 0 Which is the biggest value? (a) -1.3766 (b) 2/9 (c) 0.5 c What is the second smallest value in -0.5, -1, 108/43, 1/4? -0.5 What is the smallest value in 1103, -3/7, 0.3, -7/3? -7/3 What is the smallest value in 1, 0, -32605? -32605 What is the second biggest value in -1, -5, -640? -5 What is the second smallest value in 90, -3/2, -48? -3/2 Which is the biggest value? (a) 4 (b) 2/19 (c) -5/2 (d) -276/5 a What is the fifth smallest value in -2, 134, -20, -5, -0.5, -2/13? -2/13 What is the fourth smallest value in 1/5, 3/83, 97, -1, 4/3, -2/21? 1/5 Which is the smallest value? (a) -16 (b) 0 (c) 303 (d) 4 (e) -2/3 a Which is the smallest value? (a) 4/3 (b) 864 (c) -1/2 (d) 6/5 c Which is the third smallest value? (a) -0.1 (b) 5 (c) 13/109 (d) -13 c Which is the biggest value? (a) 1/7 (b) 0.1 (c) 3205 (d) -2/13 (e) -0.4 (f) -0.1 c What is the second biggest value in 151, -5, -334, 1, 4, 0.3? 4 Which is the second smallest value? (a) 1/6 (b) -0.3 (c) 6/11 (d) -2219011 b What is the smallest value in -8/3, -4, -227? -227 Which is the third smallest value? (a) -4 (b) 1141 (c) -5 (d) -3 d Which is the third smallest value? (a) 4475 (b) 85 (c) 4/5 a What is the fourth biggest value in 0.5, 82, 3, 0.88? 0.5 What is the smallest value in -40115, -5, -1/4? -40115 What is the second smallest value in 0, 2, 1, -0.3, -2/17? -2/17 What is the smallest value in -2, -13/2, -0.324? -13/2 What is the fifth smallest value in -1/3, -4/3, 407, -2/11, -10/9? 407 Which is the biggest value? (a) -41/4 (b) 0.5 (c) -2.932 b What is the fourth smallest value in 0.4, 400/3, -6.5, 2? 400/3 What is the third smallest value in -1749, 4/9, -18.4? 4/9 What is the fourth biggest value in -273, -2, -6, 1/4? -273 What is the third smallest value in -1, -46, -0.8? -0.8 Which is the second biggest value? (a) 3/4 (b) -1/2 (c) -0.003 (d) -5 (e) -4 (f) 0 f What is the second biggest value in -5, 1, 1059? 1 What is the biggest value in 0.3, 3, -0.3, 1, -18/41, 0.03? 3 What is the fifth biggest value in 1/12, -31, -18/13, -0.4, 0.4? -31 Which is the second smallest value? (a) 2 (b) 6364 (c) 0.1 a Which is the fourth smallest value? (a) 1/6 (b) 3 (c) 82/9 (d) 1/5 c Which is the third smallest value? (a) 470 (b) -13 (c) -3 (d) -5 c Which is the fifth biggest value? (a) 3/7 (b) -3 (c) -1/4 (d) 71 (e) -7 e What is the second smallest value in 1.3, 3, 0.24, 2/31, 1? 0.24 Which is the smallest value? (a) -4 (b) -1021 (c) 0.1 (d) 2 b What is the fourth smallest value in -169, 0.3, -4, 12? 12 What is the fourth biggest value in -2156, -3, 0.1, -4? -2156 What is the fourth biggest value in -5, 2, -1, 2/3, 5, -549? -1 What is the biggest value in 36, 1, 0.055, 6? 36 What is the third biggest value in -1, 5, -0.6, 4/3, 0.05, 123/2? 4/3 What is the third smallest value in -0.2, -229.8, -6/11? -0.2 What is the smallest value in 2/37, 0.13, 2/5, -1/4, -2? -2 Which is the second smallest value? (a) 29 (b) -3 (c) 0.04 (d) 10 (e) 4 c Which is the second biggest value? (a) 0.26 (b) -15.9 (c) 2/17 c What is the third smallest value in -0.05, 1, -693, 5? 1 Which is the smallest value? (a) 33 (b) 1 (c) -2/297 c Which is the smallest value? (a) 4 (b) 1711 (c) 1 (d) 0.1 (e) -0.4 e Which is the second smallest value? (a) 17 (b) 0.75 (c) -0.1226 b Which is the fifth biggest value? (a) -392 (b) -1/7 (c) 0.1 (d) -1/2 (e) 0.8 a Which is the third biggest value? (a) -7.46 (b) -2 (c) -1/5 a Which is the third biggest value? (a) 6 (b) 0.1 (c) 160.6 b Which is the fourth biggest value? (a) -1 (b) 25 (c) -140 (d) 1 c Which is the sixth biggest value? (a) -0.04 (b) 3/4 (c) -1/5 (d) -11 (e) 5 (f) -3.2 d What is the second smallest value in 1971271, -1/2, 0? 0 What is the second biggest value in -540, -4, -2/15? -4 Which is the second biggest value? (a) 41/5 (b) -4 (c) -0.1 (d) 1.79 d What is the second smallest value in 6, -0.35, 1, -2/7, 7? -2/7 Which is the second biggest value? (a) 2 (b) 0.3 (c) -31039 (d) -1.2 b Which is the third biggest value? (a) 859/41 (b) -2/7 (c) -1.8 c What is the sixth smallest value in -0.148, -0.1, -27, -1/2, -0.3, 4? 4 Which is the biggest value? (a) 13 (b) 2 (c) -1 (d) 2/3 (e) 29 e What is the fourth biggest value in 14, 2/7595, -1, 1/4? -1 What is the third smallest value in 11, -3/8, 1/3, -2/97, 2/9? 2/9 What is the second smallest value in -0.5, 3, 62/281, -5/2? -0.5 What is the third biggest value in -4/5, 4, -66/7, -3/64? -4/5 What is the third smallest value in -303, -15/2, 0.02? 0.02 What is the fourth biggest value in -4, -69.2, -0.4, -3, 379, 5? -3 What is the third smallest value in -3/4, 2, 31.3, -0.13? 2 What is the sixth biggest value in -4, -0.146, 2/23, -3, -2/7, 4? -4 What is the smallest value in 1/5, -2, -0.2, -3/7, 27? -2 What is the biggest value in 1450, -2/3, 9? 1450 What is the second biggest value in 1/10, 5, -3, -41/2, -0.1? 1/10 What is the second biggest value in -2, 6/5, 4.05? 6/5 What is the second smallest value in -9, 484, 0.1? 0.1 What is the sixth biggest value in -0.4, 1, 4705, 3, 0.4, 0.07? -0.4 Which is the biggest value? (a) 3 (b) -2/5 (c) -14917 a What is the fourth biggest value in 1.67, 0.299, -0.2, -4? -4 What is the second smallest value in 0.1, -336, 99? 0.1 What is the fifth biggest value in 0.06, -2, 2/7, -101, -18? -101 What is the fourth biggest value in 5388, 0.2, 0.7, -1? -1 Which is the smallest value? (a) -0.1 (b) -4448 (c) 1/8 b What is the smallest value in -2, 2/3, 32/7, -0.3? -2 What is the third biggest value in -0.09, 11, 201? -0.09 Which is the fourth smallest value? (a) 0 (b) -5 (c) 0.01 (d) 0.038 (e) -1/2 c What is the third biggest value in 4, 3/35, -5, -2, -88? -2 Which is the smallest value? (a) 6 (b) 509 (c) -0.3 c Which is the smallest value? (a) 0.1 (b) 3 (c) -5/7 (d) 4.39 c Which is the smallest value? (a) 4 (b) -0.28 (c) -2281 c Which is the third smallest value? (a) -1/13 (b) 9/8 (c) 0 b Which is the fifth smallest value? (a) 4 (b) 6.44 (c) -1/6 (d) 2/23 (e) 1/4 (f) 0.01 a What is the second biggest value in -4, 1/9, -5, 186, 15/8? 15/8 Which is the biggest value? (a) -5 (b) -14767 (c) 1 (d) -0.5 (e) 2/13 (f) 0.5 c Which is the third biggest value? (a) 550 (b) -3 (c) 342 b What is the third biggest value in 0.4, -18, 0.259, 1? 0.259 Which is the third smallest value? (a) 2 (b) 8 (c) -44/7 b Which is the third smallest value? (a) 8/7 (b) -3 (c) -2 (d) 700 a Which is the third smallest value? (a) 4 (b) -3/59 (c) 0.4 (d) -1.1 (e) 5 (f) 0.5 c Which is the third smallest value? (a) -1973.2 (b) 2/5 (c) 3/7 c What is the third biggest value in -0.3, 1/6, -7, -2.2, 0.7, 2? 1/6 Which is the biggest value? (a) 6813 (b) -1 (c) 1/3 a What is the fifth biggest value in -300, -2, -0.5, -5, 0, 3? -5 Which is the third biggest value? (a) -2 (b) 427 (c) 0.4 a Which is the fourth biggest value? (a) -0.1 (b) -0.08 (c) -299294/5 (d) 2 c What is the third biggest value in -1, 1, 1/4, 25, 29/3? 1 Which is the third smallest value? (a) -5 (b) -3 (c) 18 (d) 16/15 d Which is the fifth biggest value? (a) 1
{ "pile_set_name": "DM Mathematics" }
*l**2 + 2*l**2 - l**2). 5*l**3 + 8*l**2 Expand (-4 + 6 - 1 - b**2)*(-b**3 + 0*b**3 - 4*b**3). 5*b**5 - 5*b**3 Expand (j + 9*j - j)*(-3*j + 3*j + j**2). 9*j**3 Expand 0*g**4 + 3*g**4 - 5*g**4 + (-3*g - g**2 + 3*g)*(-3*g**2 + g**2 + g**2) + (-2 + 5 - 2)*(-4*g**2 + 2*g**2 + 6*g**2)*(-3*g + 2*g**2 + 3*g). 7*g**4 Expand (10*j**4 + 2*j**4 + 2*j**4)*(-3*j - 2*j + 3*j). -28*j**5 Expand (-3*i**4 + 2*i**4 - i**4)*(-2*i + 5*i - 4*i + (-4 + 0 + 3)*(-2*i + 4*i + 0*i) - 2 - i + 2). 8*i**5 Expand (2 - 3 + 0)*(5*y + y - 4*y)*((7 - 3 - 2)*(2 - 1 + 1) + 0 + 1 - 2 - 15 + 21 - 17). 16*y Expand (0*v + 3*v - v)*(-1 - 3*v + 1 - 1) - 2 + v**2 + 2. -5*v**2 - 2*v Expand (-3*j + 9*j - 18*j)*(-2*j**3 + 2*j**3 - 2*j**3). 24*j**4 Expand (-2*g**3 - g**2 + g**2)*(5*g**2 - 3*g**2 - g**2) - 16*g**5 + 239*g**4 - 239*g**4. -18*g**5 Expand -3*f**5 + 2*f**5 + 2*f**5 + (-2*f**2 + 5*f**2 - f**2)*(-f**3 + 7*f**3 - 4*f**3) - 2*f**5 + 4*f**5 - 4*f**5 + (-3*f + f + 4*f)*(-f**4 - f**4 + 4*f**4). 7*f**5 Expand (0*t + 2*t + t)*(0*t + 0*t + t)*(-4 + 5 + 2). 9*t**2 Expand (-1 + z**2 + 1)*(-z**2 + 2*z**2 + 2*z**2 + 1). 3*z**4 + z**2 Expand (0*n**2 - n**2 + 0*n**2)*(-2*n + 4*n - n) - 4*n**3 + 15*n**3 + 4*n**3. 14*n**3 Expand -2*x - 3*x + 3*x + (2 + 2 - 3)*(3 - 3 + 3*x) + (0 + 1 - 2)*(-4*x + 2*x - 3*x). 6*x Expand (1 - 5 + 2)*(-1 + 3 - 6 + 2*b**3). -4*b**3 + 8 Expand -3*j**2 + 4*j**2 - 6*j**2 + (-3 + 0 + 1)*(j**2 + 4*j**2 - 4*j**2). -7*j**2 Expand (-6*q**4 - 7*q**2 + 7*q**2)*(-3*q + 2*q + 3*q) + 7*q**4 - 7*q**4 - q**5. -13*q**5 Expand -4*y**5 + 2*y**5 + y**5 + (0*y - 4*y + 0*y)*(y**4 + 2*y**4 - y**4) - 2*y**5 - 4*y**5 + 5*y**5 - y**3. -10*y**5 - y**3 Expand (-2*d**5 + 6 - 44*d**4 + 44*d**4)*(3 - 6 + 0) + d**4 - d**4 - d**5. 5*d**5 - 18 Expand -2*i**2 + 6*i**2 - 2*i + 7*i**2 + 0 + 2*i**2 + 0 - 1 + i**2 + 1 + (-4*i + 0*i + 6*i)*(-1 + 1 - i). 12*i**2 - 2*i Expand 3*u**2 + u**2 - 2*u**2 + (2*u + 3*u**2 - 2*u)*(3 + 1 - 1). 11*u**2 Expand (g + g - 4*g)*(19 - 40 - 11*g + 19). 22*g**2 + 4*g Expand (3*s + 2 - 1 - 6*s)*(-2*s**2 + 3*s**2 + 4*s**2). -15*s**3 + 5*s**2 Expand (2 - 2 - y)*(5*y - y - y) + (-y + y + y)*(-5*y + 3*y + y). -4*y**2 Expand 5*q**5 + 0*q**5 + q**5 + (3*q**2 - 3*q**2 - 2*q**3)*(-q**2 + 1 - 1) - 2*q**5 - q**5 + 4*q**5. 9*q**5 Expand (-2*l**4 + 4*l**4 - 3*l**4)*(-24 + 24 + 4*l) + 2*l**5 - 2*l**3 + 2*l**3 + (-3 + 2*l**2 + 3)*(0*l**3 + l**3 + l**3). 2*l**5 Expand (5*r**5 - 4*r**5 + r**5)*(0 + 0 + 2) + (2*r**4 + 2*r**2 - 2*r**2)*(5*r - r - 2*r) + 0*r**3 - r**5 + 0*r**3. 7*r**5 Expand (-4 + 4 - 2)*(-4*a + 2*a + 0*a) - 2*a - 2*a + 5*a - a + a - 4*a + (0 + 1 + 0)*(-a - a + 4*a) + 0*a + 4*a - 3*a - 5*a + 2*a + 2*a + 0*a - a + 0*a. 2*a Expand 4 - 4 - h + h + h + 3*h + 2 - 2 - 2*h + 0*h + 3*h - 5*h + (-h - 1 + 1)*(-5 - 2 + 6). h Expand (-2*h - 2 + 2)*(-2 + 2 - 1 + (-3 + 4 - 5)*(1 + 0 + 1)). 18*h Expand -2*q + q**3 + 2*q + (2*q - 3*q + 2*q)*(-12*q**2 + 5*q**2 - 11*q**2). -17*q**3 Expand y - 6 + 8 + y - 3*y + 0*y + 2*y + 2 - 2 - y + (4*y + y - 3*y)*(-4 + 0 + 2) + 4*y + 0*y - 6*y. -6*y + 2 Expand (-5 + 1 - 1)*(-2 + 2*s + 2)*(2*s + 2*s**2 - 2*s). -20*s**3 Expand (0*d + 5*d - 2*d)*(2 - 2 - 1) - d + 0*d + 2*d. -2*d Expand (9*v**4 - 52*v**3 + 52*v**3 + (-2 + 2*v + 2)*(v**3 + 3*v**3 - 2*v**3))*(-1 + 1 + 2). 26*v**4 Expand 0*j**3 - 2*j**3 + 4*j**3 + (0 + 6 - 2)*(2*j**3 + 0*j**3 - 5*j**3). -10*j**3 Expand (a + 0*a + 0*a)*(0*a - 4*a + 2*a) + a**2 - a + a + 2 - 2 + 2*a**2 + 1138 + 86*a**2 - 1138. 87*a**2 Expand (-a + a - 4*a)*(5*a**3 - 3*a**3 - a**3 + (0*a - 2*a + a)*(-6*a**2 + a**2 + 3*a**2) + 4 - 4 + 5*a**3). -32*a**4 Expand (4*q**5 - 4*q**5 - 2*q**5)*(2 + 2 - 2)*(4 + 8 + 5). -68*q**5 Expand (-13 + 13 - 19*l**3)*(-6*l**2 + 4*l**2 - 2*l**2). 76*l**5 Expand (-2 + y**2 + 2 + y)*(-46 - 38 + 140). 56*y**2 + 56*y Expand (-s + 0*s - s + (-1 + 1 + 1)*(0*s - 5*s + 2*s) + 4*s - 6*s + s)*(2 - 6 - 3). 42*s Expand (11 - 11 - 2*u)*(0 + u + 0) + 2*u**2 - u**2 - 3*u**2. -4*u**2 Expand 6*c - 6*c - 4*c**2 + (-2*c - 2*c + 2*c)*(2*c + 3*c - 3*c). -8*c**2 Expand (0*x**3 + 2*x**3 - x**3)*(-13 - 5 - 14). -32*x**3 Expand (-2*k + 0 + 0)*(-126*k**3 - 21*k**2 + 21*k**2). 252*k**4 Expand (-2*w + 5*w - w)*(10 - 2 - 9)*(-w + 3 - 3). 2*w**2 Expand (10*b + 2*b + 9*b)*((-2 + b + 2)*(-5 - 2 + 5) + 5*b - 4*b - 2*b). -63*b**2 Expand (0*i + 0*i + 2*i)*(4*i - 8*i - 68 - i**2 + 71). -2*i**3 - 8*i**2 + 6*i Expand (-3*j**2 + 4*j**5 + 3*j**2)*(6 - 2 - 1) - 2*j**5 - 4*j**3 + 4*j**3. 10*j**5 Expand (-2*r**2 - 4*r**2 + 4*r**2)*(1 + 2*r**3 - 1) + 3*r**5 - 3*r**5 + 2*r**5 + 3*r**3 - 5*r**5 - 3*r**3. -7*r**5 Expand ((2 + 3 - 3)*(0*n**2 - n**2 - n**2) + 3*n**2 + n**2 - 2*n**2)*(3*n + 2*n + n) + (-n - n + n)*(-1 + 1 + 2*n**2). -14*n**3 Expand (5*b**4 - 5*b**4 - 2*b**5)*(-3 - 1 + 3) + 56*b - 56*b - 13*b**5. -11*b**5 Expand (1 + 1 - 1)*(-5*v + v + 2*v)*(-1 - 2 + 6). -6*v Expand (x - x + 17*x)*(3 - 1 + 1). 51*x Expand 0 - 2 - q - q + (-15 - 17 + 13)*(-3 + q + 3). -21*q - 2 Expand (4*d**3 + d**3 - 4*d**3 + (-9 + 9 + 10*d)*(-2 + 2 - d**2))*(-3 - 2 + 3). 18*d**3 Expand 0*t**2 + t**2 - 3*t**2 + (-3*t + 3*t + 2*t)*(-2*t + 4*t - 3*t) + 0*t + 0*t + t**2 + 2*t**2 + 2*t**2 - 6*t**2. -5*t**2 Expand (5*m**2 + 3 - 3)*(-1 + 1 - 1 + (-4 + 4 + 2)*(3 - 4 + 0) + 0 - 5 + 4). -20*m**2 Expand (-6 + 20 + 7)*(v**2 - 2*v**3 - v**2). -42*v**3 Expand 183*u**3 - 183*u**3 + 16*u**4 + 0*u**4 + u**4 + u**4 + u**4 - 5*u**4 + 3*u**4 + (-5*u**3 + 5*u**3 + 2*u**3)*(-3 + u + 3). 19*u**4 Expand ((4*y + 13 + 15 - 3*y)*(-2*y**2 + 0*y**2 + y**2) - 2 - y**3 + 2)*(-4*y + 4*y + 2*y**2). -4*y**5 - 56*y**4 Expand (4*j**2 - 5*j**2 + 2*j**2)*(-4*j + j + 2*j) + 21*j**3 + 20*j**3 - 45*j**3. -5*j**3 Expand -12*w**5 + 10*w**5 - 13*w**5 + (-w**3 + 2*w**2 - 2*w**2)*(0*w**2 + 5*w**2 - 3*w**2) + 0*w**5 + 2*w**5 - 4*w**5 - 2*w**5 + 3*w**5 - 2*w**5. -20*w**5 Expand (3*l - 5*l - l + (2 + 4 - 5)*(-4 + 4 - l) - 5*l + 3*l - 2*l - 4*l - l + 3*l)*(-3 + 6 - 1). -20*l Expand (2*t**2 + 0*t**2 - 6*t**2)*(2 - 2*t**2 - 4 + 2*t + 0). 8*t**4 - 8*t**3 + 8*t**2 Expand (g + 2*g - 4*g)*(4 - 5 - 2) + (4 + 3 - 5)*(-5*g + 0*g + 6*g). 5*g Expand 9*h**2 + 0*h**2 - 19*h**2 + (-3 + 1 + 0)*(-h**2 + 0*h + 0*h). -8*h**2 Expand (2 - 3 + 4)*(-u - u + 3*u)*(-9*u**3 + 7*u**3 - 8*u**3). -30*u**4 Expand u**4 - 6*u**4 + 0*u**4 + (u**2 + u**2 - u**2)*(-2*u**2 + 0*u**2 + 0*u**2) - 2*u**4 - 3*u + 3*u + 4*u**4 + 0*u**4 - u**4. -6*u**4 Expand -2*d**3 - d**3 + 0*d**3 - d**3 - 2*d**2 + 2*d**2 + (2*d**2 + 3*d - 3*d)*(4*d - 4*d - 2*d). -8*d**3 Expand (-v**4 - 5*v**4 + v**4)*(5 - 5 - 6*v)*(0 - 6 + 3) - 4*v**5 + v**5 + 2*v**5. -91*v**5 Expand (3*x + 3 + 0*x + 0)*(2*x - 2*x + x). 3*x**2 + 3*x Expand (-2 - 6 + 3)*(3 - 3 - q**2) + 2*q**2 - q**2 + 2*q**2 - q**2 + 4*q**2 - q**2 + (0 - 2 + 3)*(0*q + 0*q + q**2) + 2*q**2 + 0*q + 0*q. 13*q**2 Expand ((2*s - 3*s - s)*(-1 - 4 + 3) - 4*s + 0*s + 2*s + (-3*s + 3*s + s)*(0 + 0 + 1))*(-6*s + s + 3*s). -6*s**2 Expand (-h**2 - 3*h + 3*h + (-2*h + h + 0*h)*(h - 2 + 2) + 3*h**2 - 3*h**2 + 9*h**2)*(-4 + 5 - 4)*(2 + 1 - 4). 21*h**2 Expand (-2 - 5 - 1)*(-f + 1 - 1) + f + 4*f - 7*f. 6*f Expand (-2*i**5 + 0*i**2 + 0*i**2 - 5*i**2 - i**4)*(-4 + 1 - 1). 8*i**5 + 4*i**4 + 20*i**2 Expand (8*i - 49 + 49)*(4*i**2 + 0*i**2 - 2*i**2 + 0*i - 2*i**2 + 0*i + (-2 + 4 - 1)*(-3*i + 3*i - i**2) + 2*i**2 - 2*i**2 - i**2). -16*i**3 Expand ((1 - 2 + 3)*(5*f - 3*f - f) + (-3 + 5 + 0)*(4*f + 0*f - 3*f) + 3*f - 4*f + 3*f - 5*f - 3 + 3)*(-3 + 9 - 3). 3*f Expand -41*j + 41*j - 15 - 3*j**3 + (3*j**2 + j**2 - 3*j**2)*(5*j - j - 3*j). -2*j**3 - 15 Expand -6 + j + 5 - 1 + (0*j + 6*j - 5*j)*(3 - 2 - 3). -j - 2 Expand (5 + 2 - 2)*(11*x**5 - 13*x**5 - 3*x - 4*x). -10*x**5 - 35*x Expand (1 + 2 - 1)*(2 - 1 - 2)*(-2*t - t + 7*t). -8*t Expand (-4 + 2 + 0)*(2*z + z - 5*z)*(7 - 7 - 6*z)*(z - z + 2*z). -48*z**3 Expand (-5 + 0 + 3)*(-107 + 107 + 100*h). -200*h Expand (3 - 1 + 3 + 4 - 2 + 0 + (0 - 3 - 1)*(-3 + 4 + 1))*(-1 + 1 - k) + (-k + 0*k - k)*(4 - 4 + 1). -k Expand -f**2 + 4*f**2 + 0*f**2 + (-f + f + f)*(2*f + 0 + 0) + 4*f**2 + f**2 - 4*f**2 + 2 + 2*f**2 - 2 + 3*f**2 + 3*f**2 - 5*f**2 + 3*f**2 + f**2 - f**2. 12*f**2 Expand (t**2 + 4*t**2 - 4*t**2 + (-2*t + 1 - 1)*(0*t - t - 2*t))*(t - 2*t + 2*t). 7*t**3 Expand (-2*z - z + 4*z)*(-2*z + 1 + z + 0). -z**2 + z Expand (x - 2*x + 0*x)*(-x + x + x) + 22*x - 22*x - 13*x**2. -14*x**2 Expand ((0 + 0 + 2*u)*(0 - 2 + 0)
{ "pile_set_name": "DM Mathematics" }
j + 3*g - 24 = 0. Suppose j*y + 8*y = -48. Sort -1/9, 1/5, y in descending order. 1/5, -1/9, y Let p be (-16 - -15)/(-3 + 456/147). Let h = -5.6 - -6. Put p, h, 2 in descending order. 2, h, p Let h be 1 + (-345)/99 - (-46)/(-253). Sort -0.5, -3/8, h, -9 in increasing order. -9, h, -0.5, -3/8 Let d be 0 + 1/(1 + 0). Suppose 3*u = -16*u. Sort d, -3, u. -3, u, d Let w = -1011 - -1010. Sort 3, 26, w, 5 in increasing order. w, 3, 5, 26 Let l be 6 + -1*(-296)/(-48). Sort -1, l, -2/7, 0.3 in decreasing order. 0.3, l, -2/7, -1 Let h be 80/(-64) - 20/(-16). Put 2, h, -3, -1 in increasing order. -3, -1, h, 2 Let p = 82 - 53. Let f = p + -26. Sort f, 17, 0.4. 0.4, f, 17 Let x be 3/12*0 + 3. Let t(j) = -6*j**2 - 1 - 4*j - 2 - j - j**3. Let g be t(-5). Put x, g, 1 in descending order. x, 1, g Suppose -3*a = -15*a + 132. Sort a, 2, -3 in decreasing order. a, 2, -3 Let i = -6681 + 53447/8. Let z = 3 + -2. Sort z, 3/5, i, 3 in descending order. 3, z, 3/5, i Let z(d) = -68*d - 267. Let h be z(-4). Sort -4, -8, h in decreasing order. h, -4, -8 Let v(x) = x**2 - 2*x - 68. Let d be v(9). Suppose o - 3*s = 3, 3 - 1 = 5*o - 2*s. Put -4, o, d, -2 in decreasing order. o, -2, -4, d Suppose -k - 3*k = 16, 4*k = 5*x - 91. Suppose -5*f + 2*f = -x. Suppose -c - 3*c - 4*j = -8, f*c - j + 2 = 0. Sort -1, -2, c in ascending order. -2, -1, c Let q = 10.5 + -10. Let v = q - -10.5. Let h = v + -6. Sort h, 2/3, -4. -4, 2/3, h Let r(t) = -4*t + 95. Let q be r(24). Put q, -1/2, 2/41 in decreasing order. 2/41, -1/2, q Let j(x) = 4*x. Let a be j(1). Suppose -2*u = u + a*o - 36, 0 = u + 4*o - 12. Sort 5, 3, u, -3. -3, 3, 5, u Let m = 7920/17 + -466. Let y = -121 - -121.3. Sort m, -5, 4, y in increasing order. -5, m, y, 4 Let i(l) = -33*l - 96. Let v be i(-3). Sort 4, v, -1, -2. -2, -1, v, 4 Let r = -1/8 + -43/40. Let n be (-3)/(-13)*-1*-9*6/(-81). Sort r, n, -7, -0.5 in increasing order. -7, r, -0.5, n Suppose p + 3*p = 4*j - 68, -5*p + 23 = 4*j. Let l = -15 + j. Let c be (-2 + 0 - -2)*-1. Sort c, -1/2, l in decreasing order. c, -1/2, l Let l(n) = n**2 + 4*n - 6. Let w be l(-6). Suppose -4*d + w = -26. Suppose 0 = -d*r + 13*r - 10. Sort 3, r, 9 in decreasing order. 9, 3, r Let u = -157 + 159. Sort u, 0.07, -1 in ascending order. -1, 0.07, u Let h = -2.3 + -0.5. Let s = h - -2.8. Sort 2/11, s, 3/7. s, 2/11, 3/7 Let r = -43.2 - -62. Let b = r - 3.8. Let q = 1.01 - 1.01. Sort b, -1, q. -1, q, b Suppose 3*q = 2*s - 9, q = 5*q + 12. Sort s, -3, -11, 7. -11, -3, s, 7 Suppose -4*c = -2 - 2. Suppose -3*z = 7 - 1. Sort c, z, 5 in decreasing order. 5, c, z Suppose 13*c + 51 = -38*c. Sort 3, c, -3 in decreasing order. 3, c, -3 Suppose 604*m - 609*m = 10. Sort 12, m, 1 in descending order. 12, 1, m Let u be -2 - (-5 + 0 + 6). Put u, 4, -11 in descending order. 4, u, -11 Let d = -6 + 17. Suppose -6*q - 23 + d = 0. Suppose -5*j - 2*c + 4 = 0, -5*j + 22 = -0*c - 4*c. Sort 0, j, q. q, 0, j Let g(l) = -3 - 6*l - 8*l**2 + l**3 + 2*l + 12*l. Let y be g(7). Suppose 3*c - 4*h = 5, h + y = -c + 1. Sort c, 1, -1/5 in descending order. 1, -1/5, c Let o(w) = 11*w**2 + 9*w + 9. Let u(q) = -5*q**2 - 4*q - 4. Let l(x) = -6*o(x) - 13*u(x). Let a be l(0). Sort 1, 8, a. a, 1, 8 Suppose -7 = -5*v + v + 3*s, 0 = 4*v - 2*s - 10. Let u = -6 + v. Let i(o) = -o**2 - 2*o + 4. Let q be i(-4). Sort u, -1, q in increasing order. q, u, -1 Suppose 4*h = 0, -6*h - 2 = -2*p - 9*h. Sort -1, p, 0, 13. -1, 0, p, 13 Let v(b) = -b**2 - 2*b + 9. Let a(q) = -q**3 - 7*q**2 + 2*q + 10. Let u be a(-7). Let f be v(u). Let d be -2 - ((f - 0) + 1). Sort 2/19, 1, d. d, 2/19, 1 Let v = 65 - 77. Let d be (v - -12) + -4 + 1. Put -0.3, -0.5, d in decreasing order. -0.3, -0.5, d Let l be 2/(-4) + (-1)/(-2). Let c = -0.65 - 91.35. Let n = 96 + c. Sort l, 1, n. l, 1, n Suppose -5 = q - 6. Let g be q*(-2)/3*(-30)/(-4). Sort 2, 0, 4, g in ascending order. g, 0, 2, 4 Let q = 144 + -50. Let j = 98 - q. Sort j, 2, -16. -16, 2, j Suppose -2*z - 7 = -z - 3*h, 6 = 2*h. Suppose 0 = -z*n - 2*n + 4*k + 80, -2*n + 28 = -5*k. Suppose -y + n = -4*y. Sort 0, 4, y in ascending order. y, 0, 4 Let a(x) = x**2 - x + 1. Let g be a(1). Let p = -532 - -537. Let k(n) = -2*n**2 + 3*n. Let j be k(2). Put g, j, p in descending order. p, g, j Let m(c) = 10*c**3. Let o be m(-1). Let g be 8/(-20) + (-4)/o. Sort 4, g, 1 in ascending order. g, 1, 4 Let f = -220 + 253. Sort 0.2, f, -4 in descending order. f, 0.2, -4 Let u = -1747 - -1742. Let m = -8 + 12. Sort 1, u, m. u, 1, m Let d be (-1)/((-2 - -3)/2). Let x = 6 - 6. Put x, 1, 4, d in ascending order. d, x, 1, 4 Let x = -33 + 36. Put -0.4, -0.2, -1.2, x in increasing order. -1.2, -0.4, -0.2, x Let r be 2/1 - 3/(-81)*-60. Sort 2/13, 434, r, -4 in descending order. 434, 2/13, r, -4 Suppose -96 = 6*g + 234. Let t = -59 - g. Suppose 0 = 3*s + 4*j + 21, 5*j = -5*s + 3*s - 21. Put 0, s, t in decreasing order. 0, s, t Let h = -505 - -510. Sort -56, h, -2, -5 in ascending order. -56, -5, -2, h Let c be (96/40)/((-3)/(-20)). Let j be 1/((-2)/c*-4). Suppose -3*v + 1 = -j. Sort v, 0, -2 in decreasing order. v, 0, -2 Suppose -52*z + 187 = -136 + 115. Let b = 7 + -12. Sort -2, b, z, -1 in descending order. z, -1, -2, b Suppose -1 = 3*t - 10. Let o(p) = p**3 - 40*p**2 + 2*p + 0*p - 58 + 19*p**2 - 11*p**2. Let m be o(32). Put -4, t, m in decreasing order. m, t, -4 Let f = -78 + 114. Let c be 2/f*-4*1. Let y = 0.085 + -3.085. Sort -7, c, y. -7, y, c Suppose -d - 5*j = -4*j - 4, -3*j = 6. Let l be (10 - d) + (-102)/26. Sort -0.5, 2, l in ascending order. -0.5, l, 2 Let x(o) = -o + 21. Let u be x(17). Suppose -6*w + w + 4*p = 36, -8 = -2*w - u*p. Put -6, w, -3 in descending order. -3, w, -6 Let z(d) = d. Let i = 7 + -11. Let r be z(i). Let h(a) = -5*a - 35. Let p be h(-7). Put 1, p, r in increasing order. r, p, 1 Let d = 16 + -20. Let v be (d - -3 - -1) + 0. Let j(r) = 3*r**2 - 2*r - 1. Let z be j(-1). Sort v, 3, z in increasing order. v, 3, z Let p = -0.1 - -2.1. Suppose 6*b - 25 = 23. Let m be 2/(-5)*10/b. Sort -7, m, p in descending order. p, m, -7 Suppose 5*l - 2*u = -3, l - 5*u + 0*u = 4. Let i = -5.9 - -8. Let s = -1.1 + i. Put s, -1/9, l in increasing order. l, -1/9, s Let v = 361 - 358. Put -5, 4, v, 12 in descending order. 12, 4, v, -5 Let m be ((-392)/(-147))/(6/(-9)). Let g(b) = -b - 3. Let n be -2*1*3/2. Let s be g(n). Sort s, 5, m in ascending order. m, s, 5 Let o(l) = 3*l - 5. Let p be o(3). Let g be 4/18 + (-6)/27. Suppose 3*u + 2*d - 3 = g, d + 2 = 2*u - 0*d. Put p, -5, u in descending order. p, u, -5 Let a = -1070 - -1072. Put -0.21, -5, a in decreasing order. a, -0.21, -5 Let m be 1/17*(-6 + (-1 - -8)). Let n = -4.947 + -0.053. Put -0.3, -3, m, n in increasing order. n, -3, -0.3, m Let f = 0.771 + 0.229. Sort -3, f, -2/5, 0.14. -3, -2/5, 0.14, f Let r = -23.9 - -23.9. Put 2/11, r, 5 in decreasing order. 5, 2/11, r Let b = -10 + 5. Let r = 42 + -41. Sort b, -1/3, -0.4, r in increasing order. b, -0.4, -1/3, r Let a = -182 + 177. Put 37/27, a, -1 in descending order. 37/27, -1, a Let s(t) = -t**2 - 24*t - 20. Let p be s(-23). Let b be (-2)/9 - 58/(-18). Suppose i = -b*i - 12. Sort -4, p, i in descending order. p, i, -4 Let b = 113 - 449/4. Let w = 644 - 4510/7. Put b, 1, w in ascending order. w, b, 1 Let k = -54.6 - -54.9. Put -3/23, -2, k in increasing order. -2, -3/23, k Let x be 2 + 3 + (-129)/(-4). Let r = x - 38. Sort r, -0.4, -3 in increasing order. -3, r, -0.4 Let y(h) = -h**2 - 10*h + 1. Let b be y(-9). Let c be (-2)/((-2)/b*(1 - -1)). Sort 0.3, -3, c, -1/10. -3, -1/10, 0.3, c Let k be (-48)/40*(-10)/(-3) + 0. Suppose -2 + 4 = m. Put k, m, 4 in increasing order. k, m, 4 Let r(k) = 6*k**2 - 59*k + 64. Let i be r(8). Sort i, 24, -4 in decreasing order. 24, -4, i Suppose -3*b = -2*k - k + 6, 2*b + 4 = 5*k. Let c = 319 - 330. Put k, c, 0.4, 1/6 in ascending order. c, k, 1/6, 0.4 Let c = 8 - 4. Suppose c*u - 38 = -3*b + b, -3*b = 4*u - 41. Put 4, u, 2 in decreasing order. u, 4, 2 Let g be (-4)/(-14) + (-410)/(-35). Suppose 0 = -b - g + 11. Sort b, -2, 4. -2, b, 4 Let w be 16 + 0/5 + 4/1. Put -4, 3, w, -3 in decreasing order. w, 3, -3, -4 Suppose 29*m - 5*t = 24*m - 5, 0 = -3*m - 3*t - 33. Let u = -1 - -1. Sort u, 5, m in increasing order. m, u, 5 Let p = 1 - 1. Let k be -4 + (-39)/18*-2. Sort p, k, 4 in ascending order. p
{ "pile_set_name": "DM Mathematics" }
y**2 + 6*y - 15. Let k(t) = -g(t) + 6*q(t). Differentiate k(p) wrt p. -12*p**2 Let v(t) be the second derivative of -5*t**4/12 + 17*t**2 + 18*t. Find the first derivative of v(h) wrt h. -10*h Find the third derivative of -5*x**2 - 2*x**3 + 3*x**2 + 2*x**3 + x**4 wrt x. 24*x Let b(a) = 3*a - 6. Let z(n) = 6*n - 12. Let h(t) = -7*b(t) + 3*z(t). Differentiate h(d) with respect to d. -3 What is the third derivative of 7*q**4 + 0*q**4 + 0*q**4 - q**2 wrt q? 168*q Let u(f) be the first derivative of 8*f**3/3 - 3*f**2 + 10. What is the second derivative of u(v) wrt v? 16 Suppose -2*h + 2*r + 2 = -4, 4*h - 3 = -5*r. Suppose -4*z + 0*z + 16 = 0. Find the second derivative of -3*m + m - 5*m**2 - m**z + 5*m**h wrt m. -12*m**2 Let b(u) = 13*u**3 - 7*u**2 + 6*u + 6. Let n(r) = -14*r**3 + 6*r**2 - 7*r - 7. Let g(t) = -7*b(t) - 6*n(t). What is the third derivative of g(j) wrt j? -42 Let a(v) = 9*v**3 + 120*v**2 + 480*v + 21. Let q(t) = t**3 + 12*t**2 + 48*t + 2. Let p(m) = -2*a(m) + 21*q(m). Find the second derivative of p(j) wrt j. 18*j + 24 Let o(k) be the third derivative of 0*k**4 + 0 + 1/70*k**7 + 0*k**6 + 0*k - k**2 + 0*k**3 - 1/15*k**5. What is the third derivative of o(l) wrt l? 72*l Let h(a) be the first derivative of a**5 + 4*a**3/3 - 2. What is the third derivative of h(t) wrt t? 120*t Suppose -2*k + 12 = -3*j, 2*k + 3*j + 20 = -2*j. Suppose -b + 6 = -k*b. Find the third derivative of h**2 + 3*h**b - 2*h**6 + h**2 wrt h. 120*h**3 Let o = -7 + 10. Let t = o - 0. What is the third derivative of 2*n**4 - 5*n**2 + 0*n**2 + t*n**2 wrt n? 48*n Let o(g) be the second derivative of 0 + 0*g**2 + 3*g + 1/10*g**6 + 0*g**5 - 1/6*g**3 + 0*g**4. Find the second derivative of o(t) wrt t. 36*t**2 Let h(s) = -s**2 + 5*s + 8. Suppose -3*p - 5*r = -28, 4*r = -2*p - r + 22. Let v be h(p). What is the second derivative of v*b + b - b**4 - b wrt b? -12*b**2 Let y be 1*(2/(-2) + 6). Suppose 0*p + 8 = 4*p. What is the second derivative of -4*t**y + t + 3*t**p + 2*t - 3*t**2 wrt t? -80*t**3 Let w = -5 + 10. Let p = -3 + w. Find the second derivative of -4*q + p*q**4 + 0*q**4 + 5*q wrt q. 24*q**2 Let l(b) be the first derivative of -16*b**2 - 24*b + 22. Differentiate l(t) with respect to t. -32 What is the third derivative of 10*o**4 - 38*o**2 - 18*o**4 - 18*o**4 wrt o? -624*o What is the second derivative of -1 + 11*k**2 - 359*k + 1 + 337*k wrt k? 22 Let o(c) be the second derivative of -7*c**4/12 - 10*c**2 + 11*c. What is the derivative of o(v) wrt v? -14*v Let d(k) = 2*k**2 + k + 2 + 2 + 0*k. Let h(i) = -1. Let y(g) = -d(g) - 4*h(g). What is the second derivative of y(m) wrt m? -4 Let p(y) = -26*y**2 + 4*y - 5. Let u(f) = 51*f**2 - 7*f + 11. Let a(d) = 7*p(d) + 4*u(d). What is the derivative of a(b) wrt b? 44*b Let r(t) = t**4 - t**3 + t**2 + t - 1. Let k(u) = 9*u**4 + 2*u**3 - 2*u**2 - 2*u + 9. Let c(p) = -k(p) - 2*r(p). What is the derivative of c(o) wrt o? -44*o**3 Let k(p) = 14*p**3 + 2*p**2 - 2*p - 13. Let w(l) = -69*l**3 - 11*l**2 + 11*l + 66. Let r(n) = -11*k(n) - 2*w(n). Differentiate r(f) with respect to f. -48*f**2 Let o be 12/8 + (-6)/4. Find the second derivative of o*f - 2*f + 0*f**4 - f**4 wrt f. -12*f**2 Let n(o) = -7*o**2 + 12*o - 2. Let z(w) = -13*w**2 + 25*w - 5. Let j(l) = 5*n(l) - 2*z(l). Find the second derivative of j(a) wrt a. -18 Let a(m) be the first derivative of 6*m**5/5 - 13*m**2/2 + 7. What is the second derivative of a(c) wrt c? 72*c**2 Let q(b) be the first derivative of -b**5/60 + 5*b**4/24 + 7*b**3/3 - 1. Let x(n) be the third derivative of q(n). Differentiate x(g) with respect to g. -2 Let d = 7 + -4. Find the third derivative of 3*h**2 + d*h**4 - 4*h**3 + 4*h**3 wrt h. 72*h Let g(t) be the third derivative of t**5/3 - 5*t**4/6 - 11*t**2. What is the second derivative of g(o) wrt o? 40 Let i(j) be the first derivative of -4*j**5/5 - 3*j - 1. Find the first derivative of i(c) wrt c. -16*c**3 Suppose -5*h + 25 + 0 = 0. Suppose 0 = h*u - 12 - 13. Find the third derivative of -a**5 - a**2 + u*a**5 - a**5 wrt a. 180*a**2 Let v(k) = 7*k**3 + 6*k**2 - 6*k + 9. Let g(z) = 6*z**3 + 5*z**2 - 5*z + 8. Let t(a) = -6*g(a) + 5*v(a). What is the derivative of t(u) wrt u? -3*u**2 Let q be ((-3 - 0) + 3)/1. Let k(x) be the second derivative of 1/30*x**6 + 0*x**3 + 2*x**2 - x + 0*x**4 + q*x**5 + 0. Differentiate k(m) wrt m. 4*m**3 Let i(o) be the first derivative of -2*o**6/3 + 3*o**2 + 12. Find the second derivative of i(h) wrt h. -80*h**3 What is the second derivative of 6*i - 89*i**2 - 10*i**4 + 89*i**2 wrt i? -120*i**2 Let z be (3*-1)/(-1) - -1. Suppose 0 = -2*v - 2*b - 2*b - 6, b = -z*v + 16. What is the second derivative of -u**v + 0*u + 3*u**5 - 3*u**5 + u wrt u? -20*u**3 Let f(j) be the second derivative of 0*j**3 - 4*j - 1/10*j**5 + 0 - 2*j**2 + 0*j**4. Differentiate f(k) with respect to k. -6*k**2 Let j = -3 - -5. Suppose 0*v + 4 = j*v. Find the third derivative of -v*c**2 - c**3 + 2*c**3 - c**2 wrt c. 6 Let z(f) be the first derivative of -4/5*f**5 + 0*f**4 + 3/2*f**2 + 0*f + 0*f**3 - 3. What is the second derivative of z(d) wrt d? -48*d**2 Differentiate 14*t**4 + 17*t**4 - 30*t**4 + 15 with respect to t. 4*t**3 Let o(z) = -z**2 - 5*z - 5. Let b be o(-3). Differentiate 3*f + 4 - 1 + b + 1 wrt f. 3 Suppose m + 0 - 5 = 0. Suppose 1 + 4 = -m*h + 5*y, 5*h - 3 = 3*y. Find the first derivative of h*w**4 + w**4 + 0 + 2 wrt w. 16*w**3 Let x(o) be the first derivative of o**5/24 - o**4/6 - 8*o**3/3 + 4. Let w(n) be the third derivative of x(n). Find the first derivative of w(v) wrt v. 5 Let t(s) be the second derivative of -s**6/144 - s**5/60 - s**4/3 - s. Let x(j) be the third derivative of t(j). Differentiate x(v) wrt v. -5 Let g(j) be the first derivative of -4*j**4 + 5*j - 28. Differentiate g(l) with respect to l. -48*l**2 Let w(m) be the first derivative of 8*m**7/7 - 10*m**3/3 - 17. Find the third derivative of w(g) wrt g. 960*g**3 Let i(j) be the second derivative of -21*j**5/20 + 29*j**3/6 - 17*j. What is the second derivative of i(x) wrt x? -126*x Let g(x) be the first derivative of 0*x - 4/3*x**3 + 0*x**2 + 1/4*x**4 + 1. Find the third derivative of g(t) wrt t. 6 Find the third derivative of -7*m**6 + 188*m**3 + 15*m**2 - 188*m**3 wrt m. -840*m**3 Let y(b) = 4*b**4 - 23*b - 2. Let s(a) = a**4 - a - 1. Let o(u) = -2*s(u) + y(u). Find the second derivative of o(q) wrt q. 24*q**2 Find the third derivative of -2*a**5 + 19*a**2 - 7*a**5 - 28*a**2 wrt a. -540*a**2 Let q(h) be the second derivative of 0*h**5 + 0*h**6 - h + 0*h**2 + 0 + 1/12*h**4 + 0*h**3 + 1/14*h**7. Find the third derivative of q(a) wrt a. 180*a**2 Suppose -3*d - 7 = -4*y, 0 = 3*y - d + 2 - 6. Let l = 2 + y. What is the third derivative of 0*a**2 - a**3 + 3*a**2 + 0*a**l wrt a? -6 Suppose -8*m + 45 = -3*m. Find the second derivative of m*h**3 + 10*h - 3*h**3 - 5*h + 2*h wrt h. 36*h Let p(h) be the first derivative of -h**4/2 + h**3/3 + 3. Find the third derivative of p(f) wrt f. -12 Let y(b) = b**3 - 2*b**2 + b. Let z be y(1). Suppose 5*x - 6*u - 23 = -2*u, x - 2*u - 7 = z. Find the second derivative of m**4 + 0*m - x*m + 2*m wrt m. 12*m**2 Let x be (0 - -3)/(-6*2/(-16)). Let f(d) be the first derivative of -d**3 - 1 - 1/2*d**x + 0*d**2 + 0*d. Find the third derivative of f(n) wrt n. -12 Let a(i) be the third derivative of -13*i**9/168 + i**5/5 + i**2 - 1. What is the third derivative of a(l) wrt l? -4680*l**3 Let f be (-2)/7 - (-16)/7. Find the third derivative of 4 + 6*x**3 - 4 - 5*x**f wrt x. 36 Suppose d + 3*d - 20 = 0. Differentiate -l + 4*l + 2*l - d wrt l. 5 Let h(b) = 2*b - 10. Let p be h(7). Find the third derivative of -x**2 + x**2 + 0*x**2 + 2*x**2 + 2*x**p wrt x. 48*x Let z(r) = r**4 - r**3 - r**2 - r + 1. Let l(i) = 4*i**4 + 6*i**3 + 20*i**2 + 6*i - 6. Let g(u) = -l(u) - 6*z(u). Find the third derivative of g(k) wrt k. -240*k Let r(l) be the first derivative of -9*l**5/20 + 5*l**3/6 + 10*l - 2. Let j(f) be the first derivative of r(f). Find the second derivative of j(o) wrt o. -54*o Let l be (-2 - (1 - 1))*-1. What is the third derivative of x**2 + 2*x - l*x**3 - 2*x wrt x? -12 Let r(p) = 47*p**4 + 13*p**3 + 24*p**2. Let t(h) = 23*h**4 + 6*h**3 + 12*h**2. Let f(z) = 6*r(z) - 13*t(z). What is the third derivative of f(m) wrt m? -408*m Let z(b) = -b**2 - 8*b - 8. Le
{ "pile_set_name": "DM Mathematics" }
Suppose 0 = -5*z - 4*v - 12, -31*v + q*v - 16 = 5*z. Determine w(z). -3 Let k(j) = 3*j**3 + 40*j**2 + 113*j - 7. Let m be k(-4). Let n(u) = u**2 + 12*u + 22. Calculate n(m). 11 Let s(b) = 34*b - 265. Let j be s(8). Suppose 0 = -j*o + 30*o - 46. Let x(z) = -z + 2. Give x(o). 0 Let z be 415/(-2) + (117/6)/(-13). Let v = z + 197. Let i(q) = q**3 + 11*q**2 - 10*q + 17. Determine i(v). -7 Let c = -47 - -53. Let q(y) = 5*y - 6. Let z be q(c). Let l(w) = -w + 9 - z + w**2 + 14 - 2*w**3. Give l(-1). 3 Let y be (69 + -19)/(2/1). Suppose 2*z + 2*z - 50 = 2*t, 3*t = -4*z + y. Let s be (8/z)/(8/40). Let m(h) = 2*h - 4. What is m(s)? 4 Let w(j) = -5*j + 4*j - 1 - j**2 + 2*j. Let o = 17 - -12. Suppose q = 4*l - 17, 2*q - o = -3*l + 6*q. What is w(l)? -7 Let s(v) = 1125*v**2 - 2 - 1279*v**2 + 155*v**2. Let h be 1 + 0 + 4/1. Give s(h). 23 Let p(k) be the second derivative of k**5/20 + k**4/12 - k**3/6 - 13*k**2/2 + 4038*k. Suppose -2 = -i, 3*h + 6 = -0*h + 3*i. What is p(h)? -13 Let w = -2696 + 2696. Let r(z) = 3*z**2 - 3*z + 21. What is r(w)? 21 Let k(i) = i**2 - 4*i - 9. Suppose 28 = 4*g + 2*j + 14, 2*g - 4*j - 22 = 0. Determine k(g). -4 Let d(t) = -111979*t - 125 - 111981*t + 223941*t. What is d(-7)? 8 Let i(o) = -6*o + 9. Let u(p) = -p**2 - 11*p + 1. Let v be u(-11). Suppose -v = 5*t + 4. Let z(m) = m**2 + m + 1. Let y(s) = t*z(s) + i(s). Give y(-7). 8 Let n(q) = 330*q - 46. Let l(m) = -117*m + 16. Let b(j) = 17*l(j) + 6*n(j). Calculate b(3). -31 Let b(r) = 9*r - 29*r + 25*r + 24 + 57. What is b(-13)? 16 Let c(r) = -5*r - 172. Suppose 2*y = 9*y + 238. Give c(y). -2 Let u(i) = -2*i**2 + 4*i**3 - 61*i + 8 - 3*i**3 + 5 + 63*i - 17. Suppose 0 = -7*n + 4*n + 9. Suppose 0 = -d + 2, -5*d = 4*l + n - 25. What is u(l)? 11 Let x = 2743 + -2739. Let v(r) = r**2 - 10*r + 14. Determine v(x). -10 Let w(u) = u**2 + u - 24. Suppose 5*t - 260 = -3*f - 230, f - 4*t = -24. Give w(f). -24 Let h(q) = 97*q + 480. Let g = -2177 - -2172. What is h(g)? -5 Let b(n) = 3*n + 10. Let v(d) = -9*d - 28. Let x(i) = -8*b(i) - 3*v(i). Determine x(-1). 1 Let v be (-522)/(-14) + (-6)/21. Let f(i) = -36 - 35 - v - 5*i + 144 - 38. Calculate f(-2). 8 Let w(t) = -11*t + 201. Let m = 25079 + -25060. Determine w(m). -8 Let v(y) be the first derivative of y**2/2 - 9*y + 28172. Suppose 0 = 3*x + x - 4, x = 5*r - 4. Let o(w) = 5*w**2 - w + 1. Let h be o(r). What is v(h)? -4 Let h(p) = p**3 - 5*p**2 + 6*p - 1. Suppose -i + 42 = 3*i + 2*s, -2*i - 4*s = -18. Suppose -16 = i*u - 60. Give h(u). 7 Let b(v) be the first derivative of -11*v**2/2 + 68. Suppose 5*z + 55 = -5*f, 3*f + 0*z = -z - 27. Let w be 4 + -1 + f + 6. Calculate b(w). -11 Let g be 1*(9 - (-8)/(-2)). Let h(z) = 1720 - 3446 + 1720 - g*z. Calculate h(-2). 4 Let w(x) = 6*x + 0*x**2 + x**3 - 3*x**2 - 3*x. Let l be (-143)/44 - 9/(-36) - -5. Calculate w(l). 2 Let m = -53425 + 53422. Let s(q) = -q**2 + q**3 + q**3 - 3*q**3 - 4 + 0*q**3. Give s(m). 14 Let n(w) = -w - 17. Suppose -169*v = 5*y - 164*v + 25, -2*y = 4*v + 8. Give n(y). -11 Let t(o) = -2*o**2 + 6*o - 6. Let h(d) = d**2 - 3*d + 3. Let q(a) = 5*h(a) + 3*t(a). Let u(b) = -5*b**2 - 179*b + 39. Let z be u(-36). Determine q(z). -3 Let l(s) = -s**2 + 4*s + 2. Let h be l(0). Let w be 21/h*(68/12 + -5). Let k be (-297)/45 + 2 + w/(-5). Let j(q) = -q**2 - 7*q - 5. Calculate j(k). 1 Let r(i) = -5*i**2 + 2*i. Suppose -38 + 4 = -2*m. Let f(u) = -u**2 + 15*u + 37. Let a be f(m). Suppose -5*b + 20 = 0, 5*g - a*b + 22 = -0. Calculate r(g). -24 Let r(t) be the third derivative of 25*t**4/24 + 95*t**3/6 - 3559*t**2. Give r(-4). -5 Let l(y) = 25*y + 206. Suppose 8 = 18*w - 20*w - 4*k, -5*k = 2*w + 6. Give l(w). 6 Let j(q) = -4691*q + 2337*q + 1 + 2353*q + 13. What is j(-21)? 35 Let q(b) = 2*b**2 - 2*b - 2*b**2 - 3 - 3*b**2 + 2*b**2. Let y(s) = -s**3 + 22*s**2 - 42*s - 17. Let w be y(19). Let j = w - 272. Give q(j). -11 Let m be 6/4*(-24)/9. Let b be m/(-8) - (-22)/4. Let f(v) = -v**3 + 7*v**2 - 7*v + 3. Give f(b). -3 Let i = -2907 - -2916. Let g(x) = 3*x - 3. Determine g(i). 24 Let y(v) = 11*v - 26. Let u(h) = 94*h + 5268. Let w be u(-56). Calculate y(w). 18 Let q(h) = -h**2 - 17*h - 21. Let j be q(-16). Let v(o) be the first derivative of -5/3*o**3 - 3/2*o**2 + 27 - o - 1/4*o**4. Give v(j). 14 Suppose 4830 = -z - 5*o + 4850, 0 = o - 4. Let i(q) = -2*q + 86. What is i(z)? 86 Let d(p) = p**2 - p + 10*p - 2*p - 4. Let s(l) = 6*l + 54. Let u(y) = -2*y - 18. Let a(o) = 3*s(o) + 8*u(o). Let n be a(-13). Calculate d(n). 4 Suppose -15*o + 4*p = -17*o - 14, -2*o - 3*p - 10 = 0. Let s(h) be the second derivative of 3*h**5/10 - h**4/12 + 3*h. Determine s(o). 5 Let p(k) = k**2 + 2*k - 4. Let z(t) = -3*t**2 + 5*t + 1. Let h be z(4). Let u = h - -32. Suppose -2*g - g + u = 2*n, 25 = 5*n - 5*g. What is p(n)? 20 Let p(z) = 9*z**2 + 46*z + 2. Suppose 19*n - 773 = -868. What is p(n)? -3 Let h(q) = -q**2 - 234*q + 1708. Let b be h(7). Let c(d) = 18*d - 380. Determine c(b). -2 Let d(i) = -2*i**2 + 114*i - i**3 - 3 - 111*i - 2. Calculate d(-4). 15 Let p(w) = -w**2. Let o(f) = -5*f**2 - 8*f + 6. Let y be (-1 - 0)*6/6. Let c(z) = y*o(z) + 6*p(z). What is c(4)? 10 Let y = -35 - -38. Let h(o) = 8*o - 6*o - y + 7. Let u(d) = -d**3 + 7*d**2 - 6*d + 4. Let g be u(6). Determine h(g). 12 Let x(h) be the second derivative of h**4/12 + 17*h**3/6 - 10*h**2 - 2144*h + 1. Determine x(-17). -20 Let w be 630/27 - (-5)/(-15). Let f(n) = -2*n - 35*n - w + 39 - 15. Determine f(1). -36 Let h(f) = f**2 + 7*f + 5. Let v(i) be the third derivative of -i**4/24 + 2*i**3/3 - 2*i**2 - 9. Let m be v(11). Determine h(m). 5 Let c(x) = -x**2 - 11*x + 36. Suppose 4*p + 57 = -5*o, 4*p + 54 = 89*o - 91*o. Determine c(p). 10 Let a(t) = t**3 - 14*t**2 + 12*t + 5. Suppose -1142 - 273 = -5*f. Let l = -270 + f. Calculate a(l). -8 Let s(l) = -22*l - 66 + 52*l + 67 - 32*l. Let o be ((-2)/((-6)/27))/(-1). Give s(o). 19 Let p(k) = -11*k - 27. Let t be (2/28)/(16/(-2752)) - 4/(-14). What is p(t)? 105 Suppose -4*u - 12 = -8. Let g(q) = q**3 + q**2 + q + 1. Let b(k) = 3*k**3 + 7*k**2 + 4*k + 7. Let v(y) = u*b(y) + 5*g(y). Let s = 415 + -413. Calculate v(s). 8 Let s = 21 + -30. Let j(r) = -4*r**3 - 6*r**2 - 1. Let f(g) = 2*g - 27. Let b be f(12). Let q(o) = 3*o**3 + 7*o**2. Let x(z) = b*q(z) - 2*j(z). Give x(s). 2 Let j(c) = -c**3 + 4*c**2 - c + 5. Let l be 8/(8 + -3 + -3). Calculate j(l). 1 Let f(n) = 114*n**2 + 39*n + 10. Let h(g) = 46*g**2 + 19*g + 5. Let x(d) = -4*f(d) + 10*h(d). What is x(-8)? -6 Suppose -13*q + 8 + 11 = -20. Let d(j) be the second derivative of 1/6*j**3 - q*j**2 - 1/12*j**4 + 0 + 7*j. Determine d(0). -6 Let u(y) = 22*y + 864. Let x(d) = 33*d + 1299. Let g(s) = 11*u(s) - 7*x(s). Calculate g(-38). -7 Let m = 281 - 257. Suppose -84 + m = 12*x. Let z(i) = -i - 3. Give z(x). 2 Let g(t) = t**3 + 11*t**2 - 29*t - 179. Let z be g(-12). Suppose -1 = n + v + 6, 5*n + 3*v = -z. Let m(b) = -4*b - 1 + 1. Calculate m(n). 8 Let n = 55 - 55. Suppose n = -12*d + 10*d + 28. Suppose 0 = b + p + 5, -4*b + 0*b + 2*p = d. Let o(y) = y**2 + 2*y - 5. Calculate o(b). 3 Let x be (-188)/(-12) + (-4)/6. Suppose -77 + 2 = -x*b. Let i(c) be the third derivative of -c**4/12 + c**3/2 - 2*c**2. What is i(b)? -7 Let t be (-1645)/(-40)*-2 + (-6)/8. Let w(k) = 21*k**2 - 2*k - 1. Let u be w(2). Let d = u + t. Let o(r) = r**3 + 4*r**2 - 3. Calculate o(d). -3 Suppose q - 8 = -2. Let l be -5 + 5 + 3 + -1. Let w(f) = l + 3 + 0*f**2 + 0 - f**2 + 7*f. Give w(q). 11 Let u(c) = -c**3 + c**2 + c + 2. Suppose 7*i + 0 = 14. Let s be 4 - i - (4 - 4). Give u(s). 0 Let b(s) = 68*s**2 - 26*s**2 - 20*s**2 - 21*s**2 - 1 + 3*s. Suppose 0 = -4*w - 16, -402 = -3*a - 2*a - 2*w. Let f = 80 - a. Calculate b(f). -3 Suppose 42 = -75*g + 82*g. Let o(k) = -21*k + 4. Let x(m) = 3*m. Let h(n) = o(n) + 5*x(n). What is h(g)? -32 Suppose 494 = 3*d - c, 3*d + 4*c - 348 = d. Let a(y) = -88 - 85 + y + d. Determine a(9). 2 Let i be 0/1 - (2 - -2). Let p(r) be the second derivative of -r**6/720 + r**5/40 - 73*r**4/12 + 67*r. Let f(t) be the third derivative of p(t). Calculate f(i). 7 Let b(y) = y**3 + 6*y**2 - 7*y + 5. Let a be b(-7). Let v(z) be the second derivative of -1/2*z**2 + 1/12*z**4 - z**3 - 13*z + 0. Give v(a). -6 Let y = 385 + -267. Let k(v) = 2*v + 4*v**2 - 126*v**3 + 245*v**3 + 3*v - y*v**3 + 4. Deter
{ "pile_set_name": "DM Mathematics" }
1000000? -5000000 Let l = -270.0656 - -0.0656. Let i = l + 267.09. Let s = -1.07 - i. What is s rounded to 1 dp? 1.8 Let w = -0.013 - -0.012438. Round w to four dps. -0.0006 Let w be 12/32 - (-2 - (-2952019)/8). Round w to the nearest 10000. -370000 Let x = -0.128 - 122.772. Let z = x - -111. Round z to 0 decimal places. -12 Let f = 0.72 + -0.818. Let g = f - -0.0980059. Round g to 6 dps. 0.000006 Let j = 383.626 + -384. Round j to 2 decimal places. -0.37 Let y(a) = -1666675*a + 50. Let x be y(6). Round x to the nearest 1000000. -10000000 Let p = -0.032 + -0.021. Let q = p - -0.0529624. Round q to 5 decimal places. -0.00004 Let d = 592568 + -592450.00304. Let a = 118 - d. Round a to four dps. 0.003 Let m = 0.0116 + -0.01578. Round m to four dps. -0.0042 Let n = 636.39 - -41.81. Round n to the nearest 10. 680 Let g be (30/5 - 5) + 1*13. Suppose 15*v - g*v = 80. Round v to the nearest one hundred. 100 Let g = -440091 - -440090.8000018. Let s = 2.2 + -2. Let h = s + g. Round h to six dps. 0.000002 Suppose 4*s - 606751 - 4833249 = 0. Suppose x + s = 6*x. Let v be (x/(-5))/((-4)/(-250)). What is v rounded to the nearest one million? -3000000 Let t = 1401 - 1322.1. Let j = 70 - t. What is j rounded to the nearest integer? -9 Let r = -433 - -433.000311. Round r to 4 dps. 0.0003 Suppose 4*w + 0*n = -3*n + 13, -4 = 4*n. Suppose w*m - 586 = 334. What is m rounded to the nearest 10? 230 Let s = -251 - -222.2. Let o = -27 - s. Let b = o - 3.3. What is b rounded to zero decimal places? -2 Let a = 20340 - 20339.99987991. Round a to six decimal places. 0.00012 Let m = -1123.7 + 1122.0679. Let i = m + 1.64. Round i to 3 decimal places. 0.008 Let o = -29.886 - 0.324. Round o to zero dps. -30 Suppose -i + 5*q - 457513 = 616287, -4*i = 3*q + 4295200. What is i rounded to the nearest one hundred thousand? -1100000 Suppose -2249990 = -22*r + 27*r. Let c be (-16)/144 + r/18. What is c rounded to the nearest 10000? -30000 Let v = -0.0457 + 0.055256. What is v rounded to three decimal places? 0.01 Let v(r) = -r**2 + 16*r + 5. Let k be v(16). Suppose -k*u - 112999994 = -3*q, -45576617 = 5*u - 4*q + 67423375. Round u to the nearest 1000000. -23000000 Let m = -333583.043968 + 333596. Let a = m + -12.256. Let b = 0.7 - a. Round b to five dps. -0.00003 Let o = -85.199349 - -85.2. What is o rounded to four decimal places? 0.0007 Let h = -35703.845244 + 35703. Let y = 0.1547544 - h. Let j = -1 + y. Round j to six dps. -0.000002 Let s = 0.0294 + 7.4806. Round s to 1 dp. 7.5 Let b(h) = 46096*h**2 - 178*h + 40. Let q be b(-20). Round q to the nearest 100000. 18400000 Let c = 181 - 527. Let s = c + 343.39. Let t = s + 2.6. Round t to three decimal places. -0.01 Let o = 1560.28 - 1701.286. Let v = o - -142. Let b = v - -0.036. Round b to one decimal place. 1 Let f be (187750/(-6))/(714/144 - 5). Suppose -7*z - f = -6*z. What is z rounded to the nearest 100000? -800000 Let y(u) = -120*u. Let a be y(-1). Let z(t) = -t**3 + 14*t**2 - 4*t + 11. Let n be z(11). Suppose a - n = -5*v. What is v rounded to the nearest ten? 40 Let m = -494 + 494.00000271. What is m rounded to seven dps? 0.0000027 Let z be ((-14368)/(-48))/((-2)/1636971) + -7. Round z to the nearest 1000000. -245000000 Let d(n) = 4 - 9 + 4 - 5*n - 2*n - n**2. Let m be d(-7). Let x be m/((-8)/(-4))*0. What is x rounded to 2 decimal places? 0 Let x = 0.061 + 3.839. Let g = x + 3.5. Let h = g - 8.23. Round h to one decimal place. -0.8 Let u(p) = -p**2 - 7*p - 20. Let c be u(14). Let q = 100 - c. What is q rounded to the nearest ten? 410 Let x = 4604500 + -2745500. What is x rounded to the nearest 100000? 1900000 Suppose -1974275 + 9854139 = 2*f. Suppose 0 = -4*y + f - 15179932. What is y rounded to the nearest 100000? -2800000 Let u = 0.032 - 0.135. Let y = u - -23.503. Round y to 0 dps. 23 Let f = 69.8 - 42. Let x = f + -30. Let d = -2.198 - x. What is d rounded to 3 dps? 0.002 Suppose 0 = -48*c + 45*c + 18. Suppose c*p - 314054351 = -44054351. Round p to the nearest one million. 45000000 Let v = -104.952 + 105. Let w = -0.102 - v. Round w to two decimal places. -0.15 Let f = 1738 + -889. Round f to the nearest 100. 800 Let x(c) = c**3 - 21*c**2 - 20*c - 39. Let f be x(22). Suppose 4*r - f*k - 21810 = 3*r, 2 = -k. Round r to the nearest 1000. 22000 Let l = -0.200000519 - -0.2. Round l to seven dps. -0.0000005 Let t be -1*(-20)/(-4) + 1661. Round t to the nearest 100. 1700 Let u = 8 - 6. Suppose -u*b - a = -75796, 3*a - 5*a - 8 = 0. What is b rounded to the nearest one thousand? 38000 Let j = -20.2 - 2.8. Let z = -22.994 - j. Round z to 2 decimal places. 0.01 Let d = 8 - 6.84. Let g = d - 1.1. Let x = -0.05999912 + g. What is x rounded to 7 decimal places? 0.0000009 Let j = -1.33 - -1.23. Round j to zero decimal places. 0 Suppose -q - 2 = 4. Let y be 4 - -1*(q + 3). Let w be (-696289)/(-33) - y/(-3). What is w rounded to the nearest 1000? 21000 Let t(p) = -34667*p + 2. Let b(r) = 34667*r - 1. Let j(u) = -4*b(u) - 3*t(u). Let c be j(-6). What is c rounded to the nearest 10000? 210000 Let o = 366.6 - 438. Let f = o + 71.400000467. What is f rounded to seven decimal places? 0.0000005 Suppose f = -0*f + 2. Let c(b) = 0 + 14125*b + f - 2. Let j be c(8). Round j to the nearest 10000. 110000 Let o(g) = -g**2 + 6*g + 6. Let l be o(6). Suppose -r + 12 = -l*v + v, 5*v = -5*r - 30. Let a be (4/r)/(2/(-1845)). Round a to the nearest 100. 1200 Let w = 0.050999315 - 0.051. What is w rounded to seven dps? -0.0000007 Let n = -71.49 - -71. Let b = n + 0.4900064. What is b rounded to 6 decimal places? 0.000006 Let b = -8.76 - -31.09. Let h = -23 + b. Let n = -0.23 + h. Round n to 1 dp. -0.9 Let w = -5989163 + 5989161.96999846. Let f = -1.03 - w. Round f to seven decimal places. 0.0000015 Suppose 3*g - 15 = -2*m, -4*m - 5*g = -5*m - 25. Suppose 4*v + 4*x - 11396 = m, -5*x - 3726 - 7679 = -4*v. Round v to the nearest 100. 2900 Let k = 380687 + -381132.0223. Let r = k - -445. What is r rounded to 2 dps? -0.02 Let y = 184 - 183.781. What is y rounded to two dps? 0.22 Let q = 2.46404 + 0.14216. Let d = 2.3 + -4.9. Let g = d + q. What is g rounded to 3 dps? 0.006 Let f = -15214.78 - -15229.68139. Let m = 14.9 - f. What is m rounded to 4 decimal places? -0.0014 Suppose -5*j + 2*v - v = -121, -v + 23 = j. Let y = j - 22. Let q(t) = 114*t**3 - 2*t + 2. Let d be q(y). What is d rounded to the nearest 100? 900 Let y = 4.87 - 4.403. Round y to 1 decimal place. 0.5 Let j = 342 - 342.0001026. What is j rounded to six decimal places? -0.000103 Let z = 0.1829 - 3.9019. What is z rounded to one dp? -3.7 Let y = -1413 - -1412.9998721. Round y to 5 dps. -0.00013 Let f = -164.74 - -167.7822. Let q = -2.92 + f. Let u = 0.12 - q. What is u rounded to 3 dps? -0.002 Let i = -88 - -91. Let t be i*(-11160)/((-4)/(-1)). Round t to the nearest one thousand. -8000 Let l(n) = 6*n. Let u be l(2). Let w be (-4)/(16/u)*-2. Let o(y) = -1316665*y - 10. Let f be o(w). Round f to the nearest one million. -8000000 Let p = -920 + 920.0000009372. What is p rounded to 7 dps? 0.0000009 Let i = 358875306 + -358875308.37524953. Let b = i - -2.4852496. Let m = 0.11 - b. Round m to seven decimal places. -0.0000001 Let z = -46 - -44.28. Let h = 377.72 + z. Let s = 376.00179 - h. What is s rounded to 4 decimal places? 0.0018 Let b = -172 + 171.999999272. What is b rounded to seven dps? -0.0000007 Let n = -0.062 - 8.668. Let f = 0.23 + n. What is f rounded to zero dps? -9 Let a = 21.04471 + -0.09071. Let k = a + -21. What is k rounded to 3 decimal places? -0.046 Let i = -2122 + 1425. Let r = i - -697.0347. Let c = 0.03203 - r. Round c to four decimal places. -0.0027 Suppose 3*y - y = 3*c + 3, 2*y - c = 9. Let l(o) = 46334*o - 4. Let x be l(y). Round x to the nearest 10000. 280000 Let k(c) = c - 10. Let w be k(12). Suppose p = -w*p. Suppose p = 4*j - 6481372 + 35281372. Round j to the nearest one million. -7000000 Let k = -0.04749222 + 0.0475. What is k rounded to six decimal places? 0.000008 Let n = -0.001 - 2.969. Round n to one dp. -3 Let r(a) = -1865*a**2 + 11*a + 15. Let z be r(-27). Let m = z + 744867. What is m rounded to the nearest one hundred thousand? -600000 Let c(o) = 173*o**2 - 6*o - 4. Let v be c(-6). Round v to the nearest one hundred. 6300 Suppose 5*n - 11 - 12 = 3*j, -
{ "pile_set_name": "DM Mathematics" }
)**3*(m + 2)/11 Let n(y) be the first derivative of y**5/5 - y**4 - y**3/3 + 2*y**2 - 33. Factor n(l). l*(l - 4)*(l - 1)*(l + 1) Let v(o) = -o**2 - 12 + 12. Let w(d) = 2*d**2 - 4*d. Let m(i) = -4*v(i) - w(i). Factor m(k). 2*k*(k + 2) Suppose a = 3*c + 12, 3*a + 0 = -c - 4. Let l(x) = x**3 - x**2. Let y be l(a). Solve 2 + 22*j**4 + 2*j - 28*j**3 - 24*j**2 + 24*j**5 + y*j + 2*j = 0 for j. -1, -1/4, 1/3, 1 Let h be 20 - 15 - (-48)/(-10). Let -h*o**4 + 0 - 3/5*o**2 - 3/5*o**3 - 1/5*o = 0. What is o? -1, 0 Suppose 3*c = -3*x + 12, 0 = -c - c + x + 2. Let p(t) be the first derivative of 3 - 1/2*t**c + 1/2*t**3 + 0*t. Solve p(v) = 0 for v. 0, 2/3 Determine p so that 502*p**2 - 259*p**2 - 251*p**2 - 4*p**3 = 0. -2, 0 Let f(x) = 4*x**2 - x - 1. Let q be f(-1). Suppose -2*b + 1 + 17 = 2*j, 2*j = -b + 17. Factor -s**q - 5 - 12*s**2 - 1 - s**4 + 4 - 8*s**3 - j*s. -2*(s + 1)**4 Find x, given that 5/2 - 45/4*x + 5*x**2 = 0. 1/4, 2 Suppose 4*p - 10 = n, -3*p + 8 = 2*p + n. Factor -l**p - 70 + 2*l - l**3 + 70. -l*(l - 1)*(l + 2) Let i(z) be the second derivative of -z**4/12 + z**3/6 - 13*z. Suppose i(a) = 0. What is a? 0, 1 Suppose -3*j = -0*j. Let b(i) be the first derivative of 1/6*i**4 + 2 + 1/15*i**5 - 1/3*i - 1/3*i**2 + j*i**3. Factor b(u). (u - 1)*(u + 1)**3/3 Let y(v) be the first derivative of v - 1/18*v**4 + 0*v**5 + 0*v**3 - 3 + 1/45*v**6 + 0*v**2. Let h(x) be the first derivative of y(x). Factor h(b). 2*b**2*(b - 1)*(b + 1)/3 Let r(n) be the first derivative of n**5/30 - n**4/24 + 3*n**2/2 - 5. Let d(o) be the second derivative of r(o). Let d(k) = 0. Calculate k. 0, 1/2 Determine w, given that -3*w**2 + 65*w**3 + 20*w + 5*w**5 + 615*w**4 - 57*w**2 - 645*w**4 = 0. 0, 1, 2 Let u(w) = -5*w + 4*w + 5*w - w**2 + 0*w - 2. Let n be u(2). Factor 0 - 1/4*p - 1/4*p**n. -p*(p + 1)/4 Let d = 1 - -2. Factor d*w - 5*w + 0*w - w**2 - 1. -(w + 1)**2 Let z(g) = -2*g + 14. Let j be z(7). Let n(p) be the second derivative of -1/10*p**5 - p + 1/3*p**4 + 0 - 1/3*p**3 + j*p**2. Factor n(h). -2*h*(h - 1)**2 Let 0*m + 3/4*m**2 - 3 = 0. Calculate m. -2, 2 Let o be 0/23*(-2)/(-2). Suppose j - 2*k - 10 = o, 19 = j - 0*j - 5*k. Suppose 0 + 3/7*p**5 - 6/7*p + 3/7*p**j - 9/7*p**3 - 15/7*p**2 = 0. Calculate p. -1, 0, 2 Let t(g) be the first derivative of g**5/30 + g**4/6 + 5*g**3/18 + g**2/6 + 5. Factor t(x). x*(x + 1)**2*(x + 2)/6 Let k(t) be the first derivative of -t**6/10 - 3*t**5/40 + t**4/8 + 2*t + 4. Let g(r) be the first derivative of k(r). Suppose g(h) = 0. Calculate h. -1, 0, 1/2 Let b(f) be the second derivative of f**9/10584 - f**7/2940 + f**3/6 - 2*f. Let s(h) be the second derivative of b(h). Factor s(g). 2*g**3*(g - 1)*(g + 1)/7 Let o = 16 - 31/2. Let x(s) be the first derivative of 0*s**2 - o*s**4 - 2 + 8*s - 2*s**3. Find m, given that x(m) = 0. -2, 1 Let b(y) be the first derivative of y**2 - 4*y + 1/6*y**4 - 2/3*y**3 + 3. Let v(u) be the first derivative of b(u). Suppose v(d) = 0. Calculate d. 1 Let a be 0 - (-4 - (-1 - 0)). Let w(u) be the first derivative of 1 - 2/3*u**a + u**2 + 0*u + 2/5*u**5 - 1/2*u**4. What is s in w(s) = 0? -1, 0, 1 Let g = 49319/7 + -7027. Let v = -128/7 + g. Suppose 0*y**4 + 0*y**2 + 2/7*y**3 + 0*y + 0 - v*y**5 = 0. What is y? -1, 0, 1 Suppose -2*k - 4*q + 2 = 0, 2*k - 3*q - 24 = -15. Find p, given that -16/7*p**2 + 4/7 - 6/7*p - 6/7*p**k = 0. -2, -1, 1/3 Let h(j) be the first derivative of 1/6*j**3 + 0*j + 1/2*j**2 - 5. Factor h(a). a*(a + 2)/2 Let x(z) be the second derivative of z**5/25 - 3*z**4/5 + 16*z**3/5 - 32*z**2/5 - 14*z. Factor x(q). 4*(q - 4)**2*(q - 1)/5 Let c(r) = 2*r**2 - r - 3. Let p be c(7). Factor -33*x**5 + 119*x**4 + 16*x + 4 - 23*x**2 - p*x**3 - 16*x**5 + 21*x**3. -(x - 1)**3*(7*x + 2)**2 Let o = -4 + 7. Factor o*r**4 - 3 - 3*r + 4*r**3 + 0*r**3 - r**3 - 9*r**2 + 9. 3*(r - 1)**2*(r + 1)*(r + 2) Determine l, given that -8*l**3 - 2*l**3 + 2*l**4 - 4*l**4 + 6*l**3 = 0. -2, 0 Suppose 0 = 3*y - 8*y + 20. Factor 2*t**4 + 7*t**3 - 5*t**3 + y*t**2 + 2*t**2 + 2*t + 4*t**3. 2*t*(t + 1)**3 Let q(h) be the first derivative of -1/5*h**5 + 0*h**3 - 6 + 1/18*h**6 + 1/6*h**4 + 0*h + 0*h**2. Solve q(z) = 0 for z. 0, 1, 2 Let u = 3 + 3. Let h = u + -4. Factor i**4 + i**3 + 2*i**3 - h*i + 3*i**2 + 3*i. i*(i + 1)**3 Let n(f) = -7*f**3 + 11*f**2 - 13*f - 23. Let s(q) = 8*q**3 - 10*q**2 + 14*q + 22. Let u(b) = 5*n(b) + 4*s(b). Factor u(x). -3*(x - 3)**2*(x + 1) Suppose -r - 339 + 342 = 0. Let k be (-3 - -2)*(-3)/5. Determine o, given that 3*o**r + k*o**4 + 24/5*o**2 + 0 + 12/5*o = 0. -2, -1, 0 Let b be -1 - (1 + -3 + -4). Factor -2*h**2 + h**4 + 2*h**4 - h**3 + h**2 + h**b - 2*h**4. h**2*(h - 1)*(h + 1)**2 Let j = 334/5 + -67. Let b = 9/20 + j. Factor -b*k**2 - 1 - k. -(k + 2)**2/4 Let j(y) be the third derivative of -y**6/320 + y**5/40 - 5*y**4/64 + y**3/8 + 21*y**2. Suppose j(c) = 0. Calculate c. 1, 2 Let j be 1*(-1 + 0)*-6. Let o = j + -4. Solve 5*i + i**2 - 5*i + o*i**3 - 8*i**4 = 0 for i. -1/4, 0, 1/2 Suppose -3*j + 6*f + 10 = 2*f, -5*f = 2*j + 1. What is w in 1/7 + 1/7*w**j - 2/7*w = 0? 1 Let t = -12 + 12. Let f(d) be the third derivative of -1/210*d**5 + 0*d - 2/21*d**3 + 3*d**2 - 1/28*d**4 + t. Determine c so that f(c) = 0. -2, -1 Let j(i) be the third derivative of -i**7/315 + i**6/180 + i**5/90 - i**4/36 - 6*i**2. Find f, given that j(f) = 0. -1, 0, 1 Let n(q) be the second derivative of 1/30*q**4 + q - 1/50*q**5 + 0 - 1/5*q**2 + 1/15*q**3. Factor n(p). -2*(p - 1)**2*(p + 1)/5 Find g, given that 7/4*g - 5/4*g**2 - 3/4 + 1/4*g**3 = 0. 1, 3 Let 3*k**4 + 56*k + 16*k + 27 + 24*k**3 + 68*k**2 - 2*k**2 = 0. Calculate k. -3, -1 Solve 0 - 3/2*b**4 + 0*b - 6*b**2 - 6*b**3 = 0 for b. -2, 0 Let x(h) = -13 - 7 + h**2 - 2*h**3 + h**4 - 5*h + 15. Let o(r) = -r**4 + 2*r**3 - r**2 + 4*r + 4. Let g(j) = -5*o(j) - 4*x(j). Determine b so that g(b) = 0. 0, 1 Let i(n) be the second derivative of 0 + 0*n**3 - 2*n - 5/84*n**7 + 0*n**4 + 1/30*n**6 + 0*n**2 + 0*n**5. Solve i(o) = 0 for o. 0, 2/5 Factor -w + 3*w**2 - 2*w + 6*w**3 - 10*w**3 - 3 + 7*w**3. 3*(w - 1)*(w + 1)**2 Factor 0 + 0*l + l**4 + 0*l**3 - 1/3*l**5 + 0*l**2. -l**4*(l - 3)/3 Suppose -3*x + 2*x + 4 = 0. Let l(d) = -2*d**3 - 4*d**2 - 4. Let t(m) = m**2 + 1. Let r(n) = x*t(n) + l(n). Determine y so that r(y) = 0. 0 Let g(w) = -2*w**4 - 4*w**3 - 2*w**2 + 5. Let y = 12 + -4. Let n = 5 - y. Let b(j) = -j**4 - 2*j**3 - j**2 + 3. Let t(q) = n*g(q) + 5*b(q). Factor t(c). c**2*(c + 1)**2 Let h be (3/1)/((-198)/(-4)). Let p = h + 20/33. Let -5/3*q + 5/3*q**3 - p + 3*q**2 - 7/3*q**4 = 0. Calculate q. -1, -2/7, 1 Let y(k) = k**2 - 11*k - 8. Let c be y(12). Find d, given that -2*d - d**2 - 4*d + 4*d + c*d = 0. 0, 2 Let s(d) be the third derivative of 0*d**7 + 1/8*d**4 + 0*d**3 + 0 - 1/20*d**6 + 0*d + 0*d**5 + 1/112*d**8 + d**2. Let s(f) = 0. Calculate f. -1, 0, 1 Let 1/4*h**2 + 7/4 + 2*h = 0. Calculate h. -7, -1 Factor -1 + 8*y - 63/4*y**2. -(7*y - 2)*(9*y - 2)/4 Suppose -u = p - 2*p - 2, -4*p - 32 = 4*u. Let o = u - -5. Factor 5 + 2*i**o - 2 - 5 + 0*i**2. 2*(i - 1)*(i + 1) Let d(q) be the first derivative of -14*q**6/3 + 64*q**5/5 - 4*q**4 - 56*q**3/3 + 22*q**2 - 8*q - 4. Find i such that d(i) = 0. -1, 2/7, 1 Let g(z) be the third derivative of z**5/180 - z**4/9 + 8*z**3/9 - 7*z**2. Solve g(w) = 0 for w. 4 Suppose -r + 7 = -i, 2*i - r - 3*r + 16 = 0. Let f = i + 8. Factor f*u**2 - 3*u + 0*u + 5*u. 2*u*(u + 1) Let j(g) be the first derivative of 7*g**6/30 - 2*g**5/25 - 7*g**4/20 + 2*g**3/15 - 3. Find p, given that j(p) = 0. -1, 0, 2/7, 1 Let m(p) = -2*p**3 + 34*p**2 - 48*p + 8. Let h(d) = -d**3 + 11*d**2 - 16*d + 3. Let x(c) = 8*h(c) - 3*m(c). Let x(q) = 0. Calculate q. -8, 0, 1 Let z(d) be the third derivative of -d**5/24 - 25*d**4/48 - 5*d**3/2 + 18*d**2. Solve z(y) = 0. -3, -2 Let l = -391/378 - -15/14. Let s(m) be the second derivative of 1/90*m**5 + 1/135*m**6 + 0 - l*m**3 + 0*m**2 - 1/54*m**4 + 2*m. Factor s(r). 2*r*(r - 1)*(r + 1)**2/9 Let 9/5 + 3*q - 8/5*q**2 - 16/5*q**3 = 0. Calculate q. -3/4, 1 Let w(d) = 2*d**2 - 12*d + 18. Let t be w(2). Factor 0 + 1/7*y**t + 2/7*y. y*(y + 2)/7 Let l(n) be the second derivative of -n**5/25 + n**4/15 + 10*n. Factor l(c). -4*c**2*(c - 1)/5 Let s be (-4)/(-16) + 2/(-8). Suppose 7*p - 12*p = s. Factor p + 0*q + 1/4*q**2. q**2/4 Determine c, given that 53
{ "pile_set_name": "DM Mathematics" }
-2, -2/3, -2/5, 1 Let f(s) be the first derivative of 12*s**5/5 + 91*s**4 + 2380*s**3/3 + 258*s**2 - 1512*s - 3186. Determine x, given that f(x) = 0. -21, -9, -1, 2/3 Let r(q) = -q**5 + q. Let i(l) = 3*l**5 - 18*l**4 + 108*l**3 - 216*l**2 - 2*l. Let d(n) = 3*i(n) + 6*r(n). Let d(p) = 0. What is p? 0, 6 Let w be 3/((-198)/(-336)) + (-1)/11. Factor 146*m + 10*m**2 - 71*m - 107 - w*m**3 - 73. -5*(m - 3)**2*(m + 4) Let j(z) = -6*z + 12*z**3 + 16*z**2 - 4*z**2 - 4*z**4 + 2*z. Let w(p) = -p**3 - p**2. Let k = 3539 - 3540. Let x(c) = k*j(c) - 8*w(c). What is o in x(o) = 0? -1, 0, 1 Let x = 559699/9 - 62187. Factor -x*o - 4/9*o**2 + 0 + 2/9*o**3. 2*o*(o - 4)*(o + 2)/9 Let t = -704 + 485. Let j = -437/2 - t. Factor 5/4*p**2 + 0 - 3/4*p**3 - j*p. -p*(p - 1)*(3*p - 2)/4 Suppose 105*g = -533*g - 57 + 1971. Factor -6/5*z**2 + 0 - 16/15*z - 2/15*z**g. -2*z*(z + 1)*(z + 8)/15 Let m(w) = w**2 - 18*w - 17. Let i be m(19). Find a, given that 0*a**3 + 2825*a**4 - 2*a**5 + a**3 - i*a**2 - 2823*a**4 + a**5 = 0. -1, 0, 1, 2 Let n be (8/14)/(81/567). Let g(i) = -12*i**2 - 24*i + 36. Let y(a) = a**3 - a**2 - a + 1. Let o(s) = n*y(s) + g(s). Factor o(t). 4*(t - 5)*(t - 1)*(t + 2) Let y(t) be the third derivative of -t**7/70 + 97*t**6/40 - 333*t**5/2 + 11475*t**4/2 - 94500*t**3 - 640*t**2. Suppose y(s) = 0. Calculate s. 7, 30 Let g be 4*(-47)/(-141) + (-48)/36. Let -4/9*y**3 + 0*y - 4/9*y**4 + g + 16/3*y**2 = 0. Calculate y. -4, 0, 3 Let l(k) = -9*k - 122. Let b be l(-14). What is f in 54*f - 14*f + 64 + 2*f**b - 48 + 3*f**3 + 11*f**3 + 36*f**2 = 0? -2, -1 Let h be 63 + (-20987)/4433*13. Factor 2/11*x**2 + h*x + 14/11. 2*(x + 1)*(x + 7)/11 Let w(x) be the first derivative of 896*x**5/45 - 1184*x**4/9 + 7064*x**3/27 - 410*x**2/3 - 100*x - 2836. Solve w(z) = 0. -3/14, 5/4, 3 Let j(g) be the first derivative of 9*g**5/4 - 15*g**4/2 + 25*g**3/6 + 10*g**2 + 179*g - 353. Let l(n) be the first derivative of j(n). Factor l(o). 5*(o - 1)*(3*o - 4)*(3*o + 1) Factor 2/17*k**3 - 44/17*k + 38/17*k**2 - 80/17. 2*(k - 2)*(k + 1)*(k + 20)/17 Let y(k) be the second derivative of 2/3*k**4 - 1/180*k**6 + 20/3*k**2 - 1/30*k**5 - 49*k - 28/9*k**3 + 0. Determine z, given that y(z) = 0. -10, 2 What is o in 48*o**3 + 224*o**4 - 677*o**4 + 1500 - 45*o**2 + 229*o**4 - 1500*o + 221*o**4 = 0? -5, 1, 10 Let k be 12 - (3 - 9/(-1)). Let a(i) be the second derivative of 0*i**2 + k + 1/50*i**5 - 20*i + 1/15*i**3 - 1/15*i**4. Factor a(w). 2*w*(w - 1)**2/5 Let w(s) = 17*s**3 + 1580*s**2 + 1886*s - 19. Let x(v) = v**3 - 16*v**2 - 1. Let z(u) = -2*w(u) + 38*x(u). What is i in z(i) = 0? -1, 0, 943 Let v(m) be the first derivative of -5*m**2 - 4/5*m**5 - 11/4*m**4 + 43/3*m**3 + 0*m - 53. Determine w, given that v(w) = 0. -5, 0, 1/4, 2 Let o be ((-1)/12)/(8 - 582/72). Let z(d) = -d**4 - d**3 - d**2 + d. Let c(j) = 5 - 6*j**2 - 5. Let r(t) = o*c(t) - 3*z(t). Factor r(x). 3*x*(x - 1)*(x + 1)**2 Solve 9*f**2 - 650*f + 180 + 233*f - f**2 + 11*f**2 + 8*f**2 = 0. 4/9, 15 Let o(a) be the second derivative of -a**4/4 + 410*a**3 - 252150*a**2 + 12*a - 3. Find z such that o(z) = 0. 410 Suppose -3*z = -0*z + 4*x - 17, -4 = 2*z - 5*x. Factor -n**3 + 5*n**z - 78 - 36*n**2 - 30 + 108*n. 4*(n - 3)**3 Suppose -l - 3*n = 2*l - 21, 0 = -3*l - 4*n + 25. Factor -2*k**l + 8 - 5459*k - 6*k**2 + 5459*k. -2*(k - 1)*(k + 2)**2 Let z(a) be the first derivative of 3*a + 2*a**2 + 1/3*a**3 - 61. Factor z(f). (f + 1)*(f + 3) Let p(i) = 12*i**2 + 10 + 1 - 11 + 57*i**3 - 5*i - 46*i**3. Suppose h - 5 = -0*h. Let z(m) = 6*m**3 + 6*m**2 - 3*m. Let g(k) = h*z(k) - 3*p(k). Factor g(q). -3*q**2*(q + 2) Let s(z) = z**2 + 273*z - 232. Let n(h) = -6*h**2 - 1350*h + 1160. Let f(c) = 3*n(c) + 14*s(c). Find u, given that f(u) = 0. -58, 1 Let m(i) be the third derivative of i**9/1512 - i**7/140 - i**6/90 - 89*i**3/3 - 69*i**2. Let r(s) be the first derivative of m(s). What is n in r(n) = 0? -1, 0, 2 Factor 2*j**3 + 12/5*j**2 - 2*j - 1/5*j**4 - 11/5. -(j - 11)*(j - 1)*(j + 1)**2/5 Let n(l) = -2*l**4 - l**2 - l + 2. Let o(v) = -57*v**4 - 246*v**3 - 267*v**2 + 30*v + 108. Let g(w) = 6*n(w) - o(w). Solve g(i) = 0. -4, -1, 8/15 Let z(p) = -488*p + 34650. Let w be z(71). Find r such that 6/5*r + 0*r**w - 3/5*r**4 + 3/5 - 6/5*r**3 = 0. -1, 1 Let r(w) be the second derivative of -1 + 4/15*w**6 + 1/10*w**5 + 33*w - 7/6*w**4 - 1/3*w**3 + 3*w**2. Factor r(f). 2*(f - 1)*(f + 1)**2*(4*f - 3) Let w(v) = -2*v**3 + 26*v**2 + 32*v - 54. Let j be w(14). Let x(a) be the first derivative of -8/3*a + 1/3*a**4 - 2*a**j + 0*a**3 + 16. Let x(k) = 0. What is k? -1, 2 Let j(p) be the first derivative of 0*p + 1/60*p**5 + 1/12*p**4 + 13 - 1/2*p**3 - 4*p**2. Let x(m) be the second derivative of j(m). Factor x(y). (y - 1)*(y + 3) Let -12*l**5 - 263*l**3 + 10*l**5 - 156*l**3 - 14*l**4 + 575*l**3 = 0. What is l? -13, 0, 6 Let w be 0 - (56/(-2))/2. Suppose -10*t = -w*t + 36. Factor 21*q - 5*q - 3*q**2 - t*q - q + 24. -3*(q - 4)*(q + 2) Let a be ((-36)/(-16))/(60/32). Suppose 11 = -2*w + 5*h, 3*h + 1 = 5*w - 0*h. Determine y, given that 1/5*y**w + a*y - 7/5 = 0. -7, 1 Determine r, given that 17/5*r**3 + 292/5*r + 172/5*r**2 + 32/5 = 0. -8, -2, -2/17 Let d(r) be the third derivative of -73*r**5/20 + 125*r**4/8 - 26*r**3 - 1119*r**2 - 2*r. Factor d(m). -3*(m - 1)*(73*m - 52) Let w(f) be the second derivative of 7/24*f**4 + 9/4*f**2 - 7 - 4*f - 4/3*f**3. Solve w(t) = 0. 1, 9/7 Let n = -5331305/21346 - 147/1642. Let q = 250 + n. Let 0 + q*j**3 + 0*j + 2/13*j**2 = 0. Calculate j. -1, 0 Let 321100/11*z + 372/11*z**3 + 2/11*z**4 - 4943250/11 + 21840/11*z**2 = 0. Calculate z. -65, 9 Let y(d) be the third derivative of -d**8/1848 - 13*d**7/1155 - d**6/30 + d**5/165 + 23*d**4/132 + d**3/3 - 1844*d**2. Determine p, given that y(p) = 0. -11, -1, 1 Let c(o) be the third derivative of o**6/360 - 37*o**5/90 + 1505*o**4/72 - 2450*o**3/9 - 2*o**2 - 663*o + 10. Factor c(m). (m - 35)**2*(m - 4)/3 Let g = -336431 + 336431. Factor 0 - 6/7*w**2 + g*w**3 + 2/7*w**4 + 4/7*w. 2*w*(w - 1)**2*(w + 2)/7 Suppose -3*n + 5 = 6 - 19. Let y(j) be the third derivative of -9/280*j**n + 21*j**2 + 0*j**4 - 1/70*j**5 + 0*j + 0 + 0*j**3. Factor y(c). -3*c**2*(9*c + 2)/7 Let m = 452955 + -9512051/21. Let 10/7*y**3 - 2/21*y**5 - m*y**4 + 0 + 32/21*y + 64/21*y**2 = 0. What is y? -4, -1, 0, 4 Let h = 7090 + -7090. Let a(y) be the third derivative of h - 1/30*y**5 + 0*y**3 + 0*y - 1/180*y**6 - 1/18*y**4 - 14*y**2. Factor a(k). -2*k*(k + 1)*(k + 2)/3 Solve 19*b**3 - 72*b**2 - 63*b**3 - 4*b**4 + 40507*b - 40507*b = 0. -9, -2, 0 Let t(b) be the first derivative of -1/90*b**4 - 1/45*b**3 - 2 + 2*b + 0*b**2. Let s(v) be the first derivative of t(v). What is g in s(g) = 0? -1, 0 Let l(q) = -q**3 - 159*q**2 - 1498*q - 44. Let r be l(-10). Let y(j) be the first derivative of 3/14*j**2 + 1/7*j**3 + r + 0*j. Factor y(v). 3*v*(v + 1)/7 Let i(b) = -b**5 - 39*b**4 - 474*b**3 + 5324*b**2 - 5. Let q(s) = s**5 + 59*s**4 + 712*s**3 - 7986*s**2 + 7. Let v(p) = 7*i(p) + 5*q(p). Solve v(z) = 0 for z. -11, 0, 11 Let n be (-22*14/(-2464))/(5/(-6) + 1). What is w in 3/4*w - n*w**2 + 1/2 - 1/2*w**3 = 0? -2, -1/2, 1 Let n(u) = -7*u**4 - 1930*u**3 + 5835*u**2 - 5849*u + 1945. Let s(b) = 8*b**4 + 1928*b**3 - 5836*b**2 + 5852*b - 1944. Let x(q) = -4*n(q) - 3*s(q). Factor x(m). 4*(m - 1)**3*(m + 487) Factor 3*q**3 - 36*q - 366*q**2 + 378*q**2 - 252*q. 3*q*(q - 8)*(q + 12) Factor -14*o**3 + 17*o**2 - 508997 - 48*o - 2*o + 28*o**2 + 4*o**3 + 509012. -5*(o - 3)*(o - 1)*(2*o - 1) Let m be 4/10 - (-4)/(-10). Suppose -5*x = -m*x - 20. Suppose -2*t**2 - 18*t**4 - 4*t**3 + t**4 + 23*t**x = 0. Calculate t. -1/3, 0, 1 Let -454/9*a**2 + 460/9*a - 2/9*a**3 + 304/3 = 0. What is a? -228, -1, 2 Let o(n) = n**3 + 8*n**2 - 9*n + 2. Let u be o(-9). Let r be (5/2)/(1/u). Factor 28*z**r + 3*z**3 - 4*z**3 - 27*z**5. z**3*(z - 1)*(z + 1) Let o(m) be the third derivative of -m**7/735 - 5*m**6/2 - 524*m**5/35 - 1571*m**4/42 - 349*m**3/7 + 3*m**2 - 21. Find y, given that o(y) = 0. -1047, -1 Let m(b) be the first derivative of b**4/4 + 10*b**3 - 144*b**2 + 608*b + 1461. Factor m(z). (z - 4)**2*(z + 38) Let i = -21723/119735 + 54/311. Let q = 443/385 + i. Factor 4/7*c + 0 + q*c**2 + 4/7*c**3. 4*c*(c + 1)**2/7 Let o(w) be the second derivative of -w**5/220 - 7*w**4/11 + 57*w**3
{ "pile_set_name": "DM Mathematics" }
17*5 + (-7 - -4). Let u = 110 + h. What is the remainder when u is divided by 8? 6 Let r = 73 + 8. Let l(o) = o**2 - 3*o + 11. Suppose -3*z + 7 = 5*g - 13, 2*z + g - 11 = 0. Calculate the remainder when r is divided by l(z). 18 Suppose -11*p = -32*p + 4326. Suppose 0 = -2*k - f - 0 + p, 2*f = -8. What is the remainder when k is divided by 27? 24 Let t(a) = 2*a + 30. Let n be t(-13). Suppose n*m = -2*g + 18, 4 = -0*g + 4*g. What is the remainder when 34 is divided by (2*(-6)/m)/(9/(-27))? 7 Let n(a) = -a**3 + 91*a**2 - 1202*a + 204. Suppose 0 = -y + 30 + 116. What is the remainder when y is divided by n(75)? 38 Suppose 10 = -2*y, 5*a + 4*y - 100 = -0*a. Suppose -169*n = -6755 + 3942 - 9017. What is the remainder when n is divided by a? 22 Let x(b) = 31*b - 1942. Calculate the remainder when x(79) is divided by 10. 7 Suppose 0 = 4*h + y - 200, 282*h - 281*h + y - 59 = 0. Suppose f = -4*a - 18, 5*f - 4*f + 3 = -a. What is the remainder when h is divided by 1 + (-2)/(f/(-15))? 15 Let v(i) = i**2 - 6*i - 22. Let k be v(-8). Suppose 14*o - k + 34 = 0. Calculate the remainder when 16 is divided by o. 0 Let s = -164 - -170. Suppose 0 = -s*k + 71 + 7. Suppose -g = -6*g + 240. Calculate the remainder when g is divided by k. 9 Let l = 9247 + -9138. Calculate the remainder when l is divided by 98. 11 What is the remainder when ((-2)/1 - (-216)/288)/((-3)/10116) is divided by 2105? 5 Let i = -384 - -388. Suppose 3*m + i*l = 89, -2*m - 4*l = -l - 61. What is the remainder when m is divided by 7? 2 Let t = 6802 + -6647. Calculate the remainder when t is divided by 32. 27 Let t(z) = -z**3 + 5*z**2 - 9*z + 6. Let r be t(3). What is the remainder when (88/(-24) - r)/((-2)/63) is divided by 16? 5 Let g be 2*-1*(-10 + 8). Suppose x = 2, 0 = -3*q + 4*q + g*x - 57. Calculate the remainder when q is divided by 27. 22 Suppose 0 = 5*a + 5*q + 9 - 364, 208 = 3*a + 4*q. What is the remainder when a is divided by 19? 0 Let c = -6082 - -4341. What is the remainder when c/(-5) + (-21)/105 is divided by 13? 10 Suppose 3*j = o + 57, -o + 5 = 2. Suppose 0 = -17*p + j*p - 120. What is the remainder when 159 is divided by p? 39 Let u = 989 - 879. Let z = 57 + u. What is the remainder when z is divided by 14? 13 Let j(f) = 2*f**2 - 15*f + 3. Let c(y) = 2*y**2 + 5*y - 81. What is the remainder when j(11) is divided by c(6)? 17 Let g(y) = y**3 - 4*y**2 - 1. Let j be g(4). Let n = -508 + 527. What is the remainder when n is divided by j/(-3) + 256/24? 8 Calculate the remainder when 409 is divided by 9 + 37 - ((-44)/110 + (-3)/5). 33 Let u be 1 + 0 + -2 + 20. Let h(z) = -27*z + u - 2 - 2*z + 2*z. What is the remainder when h(-2) is divided by 25? 21 Let g = 269 - 298. Let l = -3 - g. Calculate the remainder when 205 is divided by l. 23 Let v = -1738 - -817. Let l = 38 - v. What is the remainder when l is divided by 64? 63 Let r = -539 - -758. Calculate the remainder when r is divided by (-3 + 15/7)*10*112/(-48). 19 Let x(i) = -29*i - 2 - 32*i**2 - 8 - 1717*i**3 - 3*i + 1716*i**3. Let m(o) = 3*o**2 + 7*o + 3. Calculate the remainder when m(-7) is divided by x(-31). 17 Let i(a) = -4*a**3 - 11*a**2 - 84*a + 38. Calculate the remainder when i(-6) is divided by 299. 113 Let z(o) = 20*o - 5. Let s be z(-5). Let g = s - -31. Let t = -49 - g. What is the remainder when t is divided by 7? 4 Let i(q) = q**3 - 3*q**2 - 13*q + 4. Suppose 4*a + 4*o = o + 24, -o = 0. What is the remainder when 373 is divided by i(a)? 33 Let t(j) = -266*j + 3. Let z be t(-1). Let p = z + -107. Calculate the remainder when p is divided by 33. 30 Let s(b) = 14*b**2 + 3*b + 2. Let w be s(-3). Let d be 162/(-36)*3/(27/120). Let k = d + w. Calculate the remainder when 174 is divided by k. 56 Suppose -2*b + 151 - 2 = -35. What is the remainder when 547 is divided by b? 87 Suppose 15*s - 444 = 9*s. Calculate the remainder when 5 + -1 + s + 123 is divided by 17. 14 Let a(p) = 5*p**2 + 20*p - 4. Let i(t) = -182*t + 9. Let n be i(6). Let b be n/209 + (-4)/(-22). Calculate the remainder when 73 is divided by a(b). 10 Suppose 29*i = 6636 - 3823. Suppose 4*j - 96 = -8. Suppose 0 = -s + 4*y + j, -3*y + 0 + 11 = 2*s. Calculate the remainder when i is divided by s. 7 Suppose 0 = 5*l - m - 6226, 81*l - 77*l + m - 4970 = 0. Calculate the remainder when l is divided by 178. 176 Calculate the remainder when 296 is divided by (546/35 - -3)/((-1)/(-5)). 17 Suppose -16*s - 116*s + 2808 = -15*s. Suppose 0 = -5*z - 4*u + 469 - 46, z - 5*u = 73. What is the remainder when z is divided by s? 11 Suppose -3*m + 1 - 84 = -2*c, 179 = 5*c + 2*m. Suppose -5*d - 3*z - 2 = -10*d, -4*z + 3 = -d. Calculate the remainder when c is divided by 115/(4 + d) + -2. 16 Suppose -4*o = -4*j - 420, 4*o - j = 179 + 250. What is the remainder when 182 is divided by o? 74 Suppose 4*g + 3 = 7. Let k(d) = 25*d - 6. What is the remainder when 212/3 - (-3)/9 is divided by k(g)? 14 Let l(b) be the first derivative of -b**4/4 - 5*b**3/3 - b**2 + 7*b - 2. Suppose 97*a - 2542 = 15*a. Calculate the remainder when a is divided by l(-5). 14 Suppose -187*z + 7040 = 153*z - 300*z. Let m(l) = -4*l**3 - l**2 + 2. What is the remainder when z is divided by m(-2)? 26 Let m be 6/15 + (-4)/10. Suppose -9*o + 17*o - 56 = m. What is the remainder when 19 is divided by o? 5 Calculate the remainder when 285 is divided by 3960/594*(-144)/(-10). 93 Suppose 3*a = 2*z - 445, 677 = 3*z - 8*a + 13*a. What is the remainder when z is divided by 13? 3 Suppose -110*q - 3*v - 92 = -115*q, 3*v = 3*q - 54. What is the remainder when 1/((0 + -4)/(-296)) is divided by q? 17 Let j = -7889 - -9804. Calculate the remainder when j is divided by 64. 59 Suppose 762*d = 835*d - 7008. What is the remainder when d is divided by 69? 27 Let o(f) = f**3 - 33*f**2 + 44*f - 296. Calculate the remainder when 10470 is divided by o(32). 86 Let j(l) = l + 3. Let t(c) = 2*c - 9. Let s be t(10). Suppose 520 - 176 = 219*n - 313. What is the remainder when j(s) is divided by n? 2 Let u = 47 - 29. Let n(h) = -1635*h + 29435. What is the remainder when u is divided by n(18)? 3 What is the remainder when 402 is divided by (-6)/(-8)*(142 + -74)? 45 Let c be ((-10)/(-4))/(9/(-18)). Suppose 2*b - 61 = 103. What is the remainder when b is divided by 31 + c*(-1 + (-24)/(-15))? 26 Suppose 0 = -6*g - 12*g + 6534. Let i = g + -344. Calculate the remainder when 39 is divided by i. 1 Suppose -514*b + 2419 + 2693 = -443*b. What is the remainder when b is divided by 48? 24 Suppose -145*h + 147*h + 368 = 0. Let u = h - -224. What is the remainder when 46 is divided by u? 6 Let h = -141 - -132. Let y = h + 136. What is the remainder when y is divided by 65? 62 Let f(o) = -8*o + 39. Let k(b) = 8*b - 39. Let a(x) = 6*f(x) + 7*k(x). Let u be a(-8). Let n = 119 + u. What is the remainder when 45 is divided by n? 13 Let z(i) be the first derivative of -i**3/3 - 21*i**2/2 + 122*i + 292. What is the remainder when z(-24) is divided by 26? 24 Suppose 7643 - 1161 = -14*p. Let d = -459 - p. Calculate the remainder when d is divided by 1. 0 Let y = -8 - -40. Let u(h) = -504*h + 125. Calculate the remainder when u(0) is divided by y. 29 Suppose -58 = -v + 2*o + 96, 15 = 5*o. What is the remainder when 2487/8 + 20/v is divided by 39? 38 Suppose -267 = -3*x + 354. Calculate the remainder when x is divided by 178/25*5 - (-5 - 112/(-20)). 32 Suppose 2*j + 83 = 123. Let f be 538/(-6) + (-1)/3. What is the remainder when 59 is divided by 104/18 - j/f? 5 Suppose 19*q - 1278 = 185. Calculate the remainder when 771/(-514)*(-305 - 1) is divided by q. 74 What is the remainder when -1 + (-1230)/(-9) + 2 - (-3)/9 is divided by 28? 26 Let n = -26 + 45. Let a be 12 + -1 + -4 - (1 + 4). Suppose 0 = -5*d + 3*k + 66, 17 = a*d - 3*k - 13. What is the remainder when n is divided by d? 7 Let j(n) = -42*n**3 + n**2 + n. Let m(w) = w**3 + 16*w**2 - 9*w - 25. Calculate the remainder when m(-16) is divided by j(-1). 35 Suppose 53*p = 60*p - 27*p + 920. Calculate the remainder when 5977 is divided by p. 43 Suppose -43*a + 95*a - 43*a - 261 = 0. What is the remainder when 246 is divided by a? 14 Calculate the remainder when 176 is divided by (19/((-19)/(-90)))/((-27)/(-18)). 56 Suppose -3*p + 22 = -83. Calculate the remainder when p is divided by -25*(154/(-70))/11. 0 Let
{ "pile_set_name": "DM Mathematics" }
00569 - y. Round m to seven decimal places. -0.0000006 Let u = 1.7 - 0. Let g = -24001 + 23999.2991. Let z = g + u. What is z rounded to four decimal places? -0.0009 Let j = 1.039 - -2.66. What is j rounded to 1 decimal place? 3.7 Suppose 0 = 2*a + 11743456 + 1576544. Round a to the nearest 1000000. -7000000 Let w = 0.662 - 0.002. Let s = -760852.339969 - -760853. Let p = w - s. Round p to five dps. -0.00003 Let u = 0.3 + -0.42. Let k = -0.17 - u. Let m = -0.16 - k. What is m rounded to two dps? -0.11 Let f = -19.7174039 + 11.7174002. Let j = 8.1 - 0.1. Let m = j + f. What is m rounded to six decimal places? -0.000004 Let c = 2.85 + 2.01. Round c to 1 decimal place. 4.9 Let j = 8.94 + -8.940000433. What is j rounded to seven dps? -0.0000004 Let g = -3409.141 + 3411. What is g rounded to the nearest integer? 2 Let m = 13.76397 + 0.04803. Let b = m + -14. Round b to two dps. -0.19 Let x = -23.966 + -0.034. Let g = x - -23.995. Round g to three decimal places. -0.005 Let j = 126.8 + 67. Round j to the nearest ten. 190 Let p = -58.059407331 - -0.059453331. Let o = 58 + p. Round o to five dps. 0.00005 Let w be (1767 - -13)/((-1)/10). Round w to the nearest 10000. -20000 Let r = 105923 + -63558. Let x = 24365 - r. Round x to the nearest ten thousand. -20000 Let o = 17828 - -3825. Suppose o = -3*c - 47347. What is c rounded to the nearest ten thousand? -20000 Let r(s) = 244520*s**2 - 2*s - 8. Let k be r(6). Let t = 3522700 - k. What is t rounded to the nearest one million? -5000000 Let x = -76 + 75.962. Let b = -6295706 + 6295706.03799963. Let q = x + b. Round q to 7 dps. -0.0000004 Suppose -2*b = -5*b + 3*y + 15, 4*y = 3*b - 15. Suppose 0 = -2*k - 3*u + 820003, -b*u = -k + 22141 + 387854. What is k rounded to the nearest 100000? 400000 Let r = 28.46 + -5.74. Round r to the nearest integer. 23 Let w = 8 - 7. Let q be ((-88)/(-24))/(w/(-711)). Let i = q - 1793. Round i to the nearest 1000. -4000 Let u = -10.6 + -2.4. Let r = 8747.938 - 8761. Let s = u - r. Round s to two decimal places. 0.06 Let b = 305.9 + 1739.1. Let n = -2045.01694 + b. Let d = -0.018 - n. What is d rounded to 4 dps? -0.0011 Let t(v) = 30*v - 17*v + 41*v + 66*v - 30. Let w be t(17). Round w to the nearest 100. 2000 Let p be 2/(-6) + 110/6. Suppose 0*f + 1008 = 4*f. Let t = p + f. Round t to the nearest one hundred. 300 Let t = 102.034 + -0.034. Let k = t - 102.54. What is k rounded to 0 decimal places? -1 Let b = -930.00001635 - -930. Round b to 6 dps. -0.000016 Suppose -815 = -6*r + 1387. Let j(i) = i**2 + 4*i + 1. Let n be j(-8). Let y = n + r. Round y to the nearest 100. 400 Let t = -0.377 + -0.053. Let o = 0.17 - t. Let q = -0.45 + o. Round q to 1 decimal place. 0.2 Let x = -2876.0005781 + 2876. What is x rounded to 5 decimal places? -0.00058 Let f be (-138250)/21*18*-80. What is f rounded to the nearest 1000000? 9000000 Let a = 335.866 - 336. What is a rounded to two dps? -0.13 Let s = -24.73 - 225.67. Let y = 108.2 + s. Let c = y + 131. Round c to zero decimal places. -11 Let h be (-41 - (-1 + 1))/(4/(-40000)). What is h rounded to the nearest ten thousand? 410000 Let d(g) = 181*g**3 - g**2 - 5*g - 8. Let n be d(-2). Round n to the nearest one thousand. -1000 Let d = 0.568725 + -0.569. Round d to four decimal places. -0.0003 Let z(m) = -199001*m + 9. Let d(x) = 199000*x - 10. Let t(n) = -6*d(n) - 5*z(n). Let g be t(-3). What is g rounded to the nearest one hundred thousand? 600000 Let w be 2 + 0/(-3) + 3. Suppose 5*k - 2*k = -12, -3*k = -w*i - 186488. What is i rounded to the nearest 1000? -37000 Let v = -83.7 - 40. Round v to the nearest one hundred. -100 Let p = -0.125 - 3.005. Let l = 3 + p. Round l to two decimal places. -0.13 Let k = 4563.01 + -4531. Round k to the nearest integer. 32 Suppose 3*v - 5*v = -2*s - 25608, -51212 = -4*v + 3*s. Round v to the nearest 10000. 10000 Suppose 385*z = 384*z + 337000. Round z to the nearest 100000. 300000 Let u(a) = 754*a**3 - 14*a**2 - 20*a. Let y be u(-30). Round y to the nearest 100000. -20400000 Suppose 0 = 31*m + 4911 - 19915. Round m to the nearest one hundred. 500 Let i = 1144 + -1144.2345. What is i rounded to 2 decimal places? -0.23 Suppose -14*w + 106720 = 15*w. What is w rounded to the nearest 1000? 4000 Let d = 360 + -351. Let f = 7585311.7000002 + -7585320.7. Let z = f + d. What is z rounded to seven dps? 0.0000002 Let b = -393 - -693. Let t be b/1*1*60. What is t rounded to the nearest 10000? 20000 Let s = 17021.37 - 16758. Let w = 261 - s. What is w rounded to 1 decimal place? -2.4 Let h = -0.5358 - 52.0592. Let q = 0.095 + h. Round q to the nearest integer. -53 Let m = -0.168701 + 0.01277. Let n = -61.156 + 61. Let u = m - n. What is u rounded to five decimal places? 0.00007 Let c = 48 - 48.46. Let i = c - -0.26. What is i rounded to two decimal places? -0.2 Let z = 0.068918 - 0.0689. What is z rounded to 4 dps? 0 Let k = -0.55 + 0.2. Let j = k - 14.65. Let x = -15.4 - j. What is x rounded to the nearest integer? 0 Let t = 0.093 + 97.907. Let b = -97.941 + t. What is b rounded to 2 dps? 0.06 Let i = 281.0135228 - 280.1935. Let v = -0.82 + i. Round v to six dps. 0.000023 Let q = -377.297 + 432.6. Let t = 11.487 - q. Let f = t - -44. Round f to 2 decimal places. 0.18 Let p = 13 - 9. Suppose -3*o - 168 = -3*r, p*o = -0*o. Suppose -r = -i + 14. Round i to the nearest one hundred. 100 Let l = 15404.993251 + -15405. Round l to four decimal places. -0.0067 Let m = 0.85 - 1.266. Let b = -0.004 + m. What is b rounded to 1 decimal place? -0.4 Let y = -190.9 + 190.8992884. What is y rounded to four decimal places? -0.0007 Let s(c) = 47*c**2 + 3*c + 6. Let d be s(7). Let l = d - 580. Round l to the nearest one hundred. 1800 Let b = -0.112315 + 0.1102. Round b to four decimal places. -0.0021 Let k = 13 + -8. Suppose f - 4*i - 5 + 4 = 0, -3*f - k*i + 20 = 0. Suppose -2*g + 12059 = -f*l - 336, 2*g - 3*l = 12397. Round g to the nearest one thousand. 6000 Let l = -12 - -109. Let p = 96.999961 - l. What is p rounded to 5 dps? -0.00004 Let n = 70.9928 + -71. Round n to three dps. -0.007 Let l(n) = n**2 + n - 1. Let z(d) = 3*d**2 + 3*d - 50. Let g(i) = -5*l(i) + z(i). Let p be g(-6). Round p to the nearest 100. -100 Suppose 0 = -7*i + 34 + 22. Let z(m) = 1773*m - 91. Let n(s) = 1182*s - 61. Let r(x) = -7*n(x) + 5*z(x). Let y be r(i). Round y to the nearest one thousand. 5000 Let i = 5722 + -5721.996763. Round i to four dps. 0.0032 Let l = -65 + 238. Let y = 280 - l. Let c = y + -106.914. Round c to two dps. 0.09 Let p = 82.794 - 0.494. Round p to the nearest 10. 80 Suppose -1387 = 2*s + 1721. What is s rounded to the nearest one hundred? -1600 Let g = 313 + -317.395. Let a = g - -4.3. What is a rounded to 2 decimal places? -0.1 Let s = 203 - 227.9. Let v = -26 - s. Let r = -1.10000033 - v. Round r to 7 decimal places. -0.0000003 Suppose u - 4 = 3*m - 2, 5*u = -2*m + 27. Let q be -4*m/(2/155). Round q to the nearest one hundred. -300 Suppose 0 = -24*q - 1296 + 8760. Round q to the nearest ten. 310 Let w = 2.375 + -2. Let u = w + -0.38242. Let m = u + 0.007. Round m to four dps. -0.0004 Let m = -0.267 - 185.733. Let t = -186.266 - m. What is t rounded to one decimal place? -0.3 Let t = -60497 - -60620.842. Let v = t - 124. What is v rounded to 2 dps? -0.16 Let x = 16.202 + 0.198. Let s = x + -4.5. Round s to 0 dps. 12 Let u = -8.774 + -1.316. Let s = u + 10.1. What is s rounded to two decimal places? 0.01 Let b(u) = 3*u**2 - 5*u + 4. Let f be b(3). Let o be 79002760/f*(-3 - -1). Let k = o + -724655. What is k rounded to the nearest one million? -11000000 Let g = 0.3 + -0.38. Let t = -0.118 + -2.162. Let j = t - g. What is j rounded to the nearest integer? -2 Let t = 684 + -684.0000000524. Round t to seven decimal places. -0.0000001 Suppose 10130 + 7780 = 5*f - 5*x, -7150 = -2*f - 5*x. Round f to the nearest 100. 3600 Let v = 1926304 - 1352268. Suppose 0*k = 3*k. Suppose b + 154036 - v = k. What is b rounded to the nearest 100000? 400000 Let a(i) = i**3 + 13*i**2 - 30*i - 32. Let w be a(-19). What is w rounded to the nearest 100? -1600 Let y = -0.536 + 34.536. Let v = 38.02 - 3.44. Let x = y - v. Round x to 1 dp. -0.6 Let p be 0 + (1 - 0 - 2). Let r be (-1)/(-1*p/(-4049489)). Suppose -r - 1320511 = -3*s. What is s rounded to the neares
{ "pile_set_name": "DM Mathematics" }
Solve 44*p + 17*p + 442 = -290 for p. -12 Solve 0 = 11*y + 46*y + 41*y + 392 for y. -4 Solve -22*b + 154*b = -353 - 43 for b. -3 Solve 3868 = -737*i - 10456 - 2627 for i. -23 Solve -207*x = 92*x + 6578 for x. -22 Solve -1425*p + 1337*p + 968 = 0 for p. 11 Solve -68*z - 296 = 474 - 158 for z. -9 Solve 39298 = 36*i + 38002 for i. 36 Solve 259*l - 4352 - 1004 = 53*l for l. 26 Solve -15*t - 20 = 85 for t. -7 Solve 11*y - 411 = -301 for y. 10 Solve -8*t - 47 = -72*t + 401 for t. 7 Solve -126*p = -122*p for p. 0 Solve -28*v + 34 = -11*v for v. 2 Solve 898*x + 1587 = 369*x for x. -3 Solve 28*m = 3346 - 2618 for m. 26 Solve 0 = 134*m - 1135 + 1671 for m. -4 Solve 82 = -69*p + 58*p + 16 for p. -6 Solve -404*d - 164*d - 4912 = 1336 for d. -11 Solve 4*d = -20*d - 48*d + 216 for d. 3 Solve 20889 = -160*l - 473*l for l. -33 Solve 0 = 34*o + 302 - 132 for o. -5 Solve -192 = 31*u + 118 for u. -10 Solve 60*i + 12 = 149 - 17 for i. 2 Solve 144*h = 255*h - 136*h + 225 for h. 9 Solve -12*n = -45*n + 9*n + 336 for n. 14 Solve 2484 = 1754*s - 1685*s for s. 36 Solve 6*c + 18*c = -8*c + 9*c for c. 0 Solve 212*w = 60*w + 456 for w. 3 Solve -225 = -316*w - 319*w + 650*w for w. -15 Solve 0 = 359*a - 135*a + 2912 for a. -13 Solve 34*u + 9 - 82 = -345 for u. -8 Solve -899*l = 270*l - 9352 for l. 8 Solve 148 = 56*b + 652 for b. -9 Solve 52 = -272*w + 157 + 983 for w. 4 Solve 76*p - 445 - 696 = 303 for p. 19 Solve 3749 + 2047 = 22*f - 298*f for f. -21 Solve -75*t - 556 = 55*t + 1004 for t. -12 Solve 730 = -32*n - 19*n - 341 for n. -21 Solve 393*p - 1928 - 6339 = 6667 for p. 38 Solve 0 = -2249*s + 2235*s - 182 for s. -13 Solve -8931*p - 1290 = -9189*p for p. 5 Solve -139 = -25*p - 24 + 60 for p. 7 Solve -9*f = 3*f + 14636 - 14852 for f. 18 Solve -248*q - 2206 = -5678 for q. 14 Solve -58 = 9*c - 67 for c. 1 Solve 7184 = 2*c + 7190 for c. -3 Solve -39*s + 25*s - 99 = -23*s for s. 11 Solve 78*o + 77*o + 182 = 168*o for o. 14 Solve -351*z + 335 + 363 = -355 for z. 3 Solve 533*y = 608*y - 1575 for y. 21 Solve 125*z - 1047 = 344 + 609 for z. 16 Solve -71*u - 1133 = -281 for u. -12 Solve 5*c + 12 + 44 = -9*c for c. -4 Solve -51*r - 4016 = 87*r + 113*r for r. -16 Solve -1606*v = -1677*v + 1424 + 422 for v. 26 Solve -65*r - 55 - 855 = 455 for r. -21 Solve -1152*q - 28 = -1124*q for q. -1 Solve 0 = 12*r + 17*r - 25*r + 104 for r. -26 Solve -1843 = 69*c - 1912 for c. 1 Solve -2180 = -135*x + 26*x for x. 20 Solve 0 = 298*u + 3778 - 1096 for u. -9 Solve 38*a = 3*a + 14*a - 84 for a. -4 Solve 22*j = -164 + 274 for j. 5 Solve -42*u + 96*u + 906 = -97*u for u. -6 Solve 51 - 50 = -74*d + 75 for d. 1 Solve 191*c = -28*c - 79*c - 596 for c. -2 Solve -61*z = -11*z + 31*z + 1701 for z. -21 Solve -2485 + 253 = -124*a for a. 18 Solve 1457*r = 1465*r + 64 for r. -8 Solve 0 = 301*w - 312*w - 141 - 13 for w. -14 Solve -2*o - 10*o = 25*o - 222 for o. 6 Solve -405*t = -479 + 11 - 747 for t. 3 Solve 92*k + 439 = 183 - 204 for k. -5 Solve 0 = 83*g + 334*g + 128*g - 20165 for g. 37 Solve -36*j - 3*j + 10 = 127 for j. -3 Solve -83*i - 68*i - 115*i + 266 = 0 for i. 1 Solve -52*w = 42*w + 2*w for w. 0 Solve -159*v + 3616 = 293*v for v. 8 Solve -464 - 456 = 25*g - 295 for g. -25 Solve -69235 = -235*g - 66180 for g. 13 Solve 39*x = 4*x + 70 for x. 2 Solve -16*i = -152*i - 91*i + 3178 for i. 14 Solve -236 - 286 = -12*o - 75*o for o. 6 Solve 3674 = -30*n + 3854 for n. 6 Solve 130*x = -14*x + 260*x - 1508 for x. 13 Solve 45*n - 179 + 39 - 265 = 0 for n. 9 Solve 32*c - 2*c + 2*c = -7*c for c. 0 Solve -245203*u + 696 = -245227*u for u. -29 Solve -38892*s - 1764 = -38808*s for s. -21 Solve 59*p - 5 + 1008 = 0 for p. -17 Solve -883 = -91*o + 1392 for o. 25 Solve -3673*s = -3644*s - 116 for s. 4 Solve 3794*b + 144 = 3812*b for b. 8 Solve -602 - 7 = -29*v for v. 21 Solve 8*g - 78 = -13*g - 18*g for g. 2 Solve 186*s + 199*s = 400*s + 135 for s. -9 Solve -7 - 42 = 49*s for s. -1 Solve -497*l = 2799 - 811 for l. -4 Solve -852*x - 460*x = 10496 for x. -8 Solve -11*u + 1073 = 1007 for u. 6 Solve 398*c + 34 = 381*c for c. -2 Solve 3*c - 82 - 57 + 55 = 0 for c. 28 Solve -2404 = -966*b - 16894 for b. -15 Solve -24*t = -37*t + 21*t - 16 for t. 2 Solve -44 = -78*b + 187 - 1323 for b. -14 Solve 380*q = 367*q - 14 + 66 for q. 4 Solve 0 = 45*x + 2671 - 3301 for x. 14 Solve 108*c + 5219 - 1667 = 12*c for c. -37 Solve -400 - 211 = -47*t for t. 13 Solve 7610 = 133*k + 7344 for k. 2 Solve 33*b = 74*b + 19*b - 1380 for b. 23 Solve 279*w - 5594 = -1848 + 2671 for w. 23 Solve 21*x - 620 = 15*x - 56*x for x. 10 Solve 0 = -3*s + 1366 - 1357 for s. 3 Solve 0 = -266*o + 242*o + 96 for o. 4 Solve 216 = 1272*u - 1299*u for u. -8 Solve -532 = -137*c + 99*c for c. 14 Solve 38*n - 184*n = -1898 for n. 13 Solve -328 = -100*o + 18*o for o. 4 Solve 191*f + 480 = 161*f for f. -16 Solve 52 = 23*f - 18*f - 18 for f. 14 Solve 61*j + 241*j + 7845 = -221*j for j. -15 Solve -12406*h - 1749 = -12565*h for h. 11 Solve 135*s + 2935 - 87 = 418 for s. -18 Solve -36 = 5*w - 46 for w. 2 Solve 158*a + 2906 + 790 = -18*a for a. -21 Solve -54*b - 27*b + 648 = -0*b for b. 8 Solve 9*q + q + 3*q = 0 for q. 0 Solve 1339 = 300*m - 3513 - 3548 for m. 28 Solve -87*k - 380 = -67*k for k. -19 Solve 108*m - 171*m + 693 = 0 for m. 11 Solve 937*i + 5544 = 363*i + 1526 for i. -7 Solve 178*v - 480*v + 3692 = 68 for v. 12 Solve 0*i + 20 = -10*i + 120 for i. 10 Solve 158*v + 166 = 331 + 309 for v. 3 Solve -8*k + 2069 = 2149 for k. -10 Solve 27*l - 2070 = -111*l for l. 15 Solve l + 101 = -20*l - 88 for l. -9 Solve -1165 = 383*b - 162 + 529 for b. -4 Solve -318*v + 2821 - 4794 = 5341 for v. -23 Solve 579 + 499 - 398 = -40*i for i. -17 Solve -1456 = -9976*a + 9872*a for a. 14 Solve -1923 = 114*c + 1041 for c. -26 Solve -145*f = -86 + 852 + 684 for f. -10 Solve -78*o - 80*o - 1470 = -60*o for o. -15 Solve 0 = -68*n + 1081 - 2373 for n. -19 Solve 76*b - 450*b + 389 = 15 for b. 1 Solve 1790 = -11*b + 1702 for b. -8 Solve -u - 10*u - 17*u = -224 for u. 8 Solve -739 = -35*q - 24*q + 1385 for q. 36 Solve 8*v + 48 + 39 = 15 for v. -9 Solve -122 - 40 - 3 = -33*c for c. 5 Solve 0 = 402*x + 3917 + 1711 for x. -14 Solve 23*p + 12190 = -235*p + 4192 for p. -31 Solve 12690 = 96*r + 13458 for r. -8 Solve 147*v + 2512 - 2091 + 2666 = 0 for v. -21 Solve -215*s + 966 = -54*s for s. 6 Solve 301*s + 1477 = -2737 for s. -14 Solve -172*j - 5780 + 935 = 83*j for j. -19 Solve 205 + 27 + 8 = -12*h for h. -20 Solve 5*w - 1427 = -164*w + 1784 for w. 19 Solve -88*l + 450 = -13*l for l. 6 Solve 0 = 3366779*l - 3366760*l - 171 for l. 9 Solve -371 = 844*q - 18095 for q. 21 Solve 9 - 31 - 11 = 3*i for i. -11 Solve 2108 + 5836 = 1324*f for f. 6 Solve 196*h + 621 + 751 = 0 for h. -7 Solve 369*r - 3721 = 77*r + 2995 for r. 23 Solve 855 - 854 = -d for d. -1 Solve 0 = -1257*k + 1263*k - 36 for k. 6 Solve 58*a = 19*a + 351 for a. 9 Solve -54*i = 11*i + 40*i + 1050 for i. -10 Solve 723 - 355 = -23*n for n. -16 Solve 15299*f + 305 = 15325*f - 215 for f. 20 Solve -74 + 74 = 113*g - 142*g for g. 0 Solve -78*z = -19*z + 531 for z. -9 Solve 86*v + 75 = 8*v + 309 for v. 3 Solve -394*f = -210*f - 199*f + 360 for f. 24 Solve -39*g = -63*g - 288 for g. -12 Solve 45*t = -0*t + 3 - 48 for t. -1 Solve 20505*f - 20464*f - 246 = 0 for f. 6 Solve 329*r = 646*r - 303*r - 322 for r. 23 Solve 1550 = 176*k - 562 for k. 12 Solve -22*j - 256 = -190 for j. -3 Solve 3804*c = 3979*c - 4550 for c. 26 Solve 0 = 452*d - 425*d for d. 0 Solve 2613 = 74*d + 1059 for d. 21 Solve -84*y + 81 = 2013 for y. -23 Solve -73 = -142*n + 52*n + 17 for n. 1 Solve 462 = -13*l + 475 for l. 1 Solve -729 = 1218*q - 1947 for q. 1 Solve 80*i + 16 = 82*i - 6 for i. 11 Solve 1023 = 95*m - 117 for m. 12 Solve 0 = -457*w + 496*w - 78 for w. 2 Solve 0 = 14*b - 16*b + 3*b + 6 for b. -6 Solve 206*b = 39*b - 8*b + 2450 for b. 14 Solve 22*h + 294 - 118 = 0 for h. -8 Solve 859 = -86*c - 345 for c. -14 Solve -242*d + 102*d - 208 = -114*d for d. -8 Solve 0 = -167033*r + 167044*r - 352 for r. 32 Solve 12*s = -35 - 254 - 71 for s. -30 Solve 2656*g - 300 = 2631*g for g. 12 Solve 81*g - 126 = 102*g for g. -6 Solve 24*l = -30*l + 4*l + 300 for l. 6 Solve 18*g - 25 = -44*g + 37 for g. 1 Solve -9*b + 153 = 16*b - 97 for b. 10 Solve -20*t - 3182 = -100*t - 382 for t. 35 Solve 0 = 68
{ "pile_set_name": "DM Mathematics" }
Let b be x(0). Let u = b + -1. What is the units digit of u? 3 Let m = -12 - -18. Let o = 30 + m. What is the tens digit of o? 3 Let u be (9/(-3))/(-3)*12. Suppose m - 5*m + u = 0. What is the units digit of (-2)/m*(-2 - 7)? 6 Let i = 2 + 1. Suppose -5 = 5*s, -30 = -2*x - s - i. What is the units digit of x? 4 Suppose 117 - 1104 = -3*w. What is the units digit of w? 9 Suppose 2*f + 87 - 29 = 4*p, -p + 15 = -f. Let o = p + -9. Suppose -4*n - 2*x = -38, 0 = 2*n - 2*x + o*x - 25. What is the units digit of n? 8 Let o be (3 - 51)*1/2. Let l be o/(-20)*(-10)/(-3). Suppose -4 = -l*g - 0. What is the units digit of g? 1 Let c be ((-4)/(-7))/(2/7). Suppose -v + 1 = -c, -3*w + 4*v + 3 = 0. Suppose 0 = -w*p + 52 + 8. What is the tens digit of p? 1 Suppose -j - 60 = 13. Let l = 107 + j. What is the units digit of l? 4 Let h be (-70)/(-1 + 1/(-1)). Suppose 0 = y - h - 0. What is the tens digit of y? 3 Suppose 29 - 1 = 4*b. What is the units digit of b? 7 What is the tens digit of -1 + 0 - (-113 + 6)? 0 Let i be (-2)/(-6)*3*1. What is the tens digit of (-96)/(-6) - i/(-1)? 1 Let c(r) = r + 1. Suppose -5*s + 16 = -2*s - p, -2*p - 4 = s. What is the units digit of c(s)? 5 Suppose -3*c + 3 = -0. Let l = 1 - c. Suppose l*y - 2*y + 2*r = -42, 2*y + 5*r - 28 = 0. What is the units digit of y? 9 Let a = 90 - 64. What is the tens digit of a? 2 Suppose -7 + 1 = -2*h. Let c(x) = 4*x - 2. What is the tens digit of c(h)? 1 Let r = 360 + -188. What is the tens digit of r? 7 Let n(b) = b**3 + b**2 - b - 4. Let f be n(0). Let o be (f + -2)*-4 - -2. Let i = 36 - o. What is the tens digit of i? 1 Let k(d) = 4*d**3 + 5*d**2 - 12*d + 2. Let a(f) = -9*f**3 - 9*f**2 + 25*f - 4. Let u(s) = 3*a(s) + 7*k(s). Let h be u(-9). What is the tens digit of 72/5 - h/5? 1 Let i be (27 - 2) + (-1 - 0). Suppose 31 = 4*n - f, 4*n + 5*f - 37 = i. What is the units digit of n? 9 Suppose 0 = 2*b + 36 - 134. What is the tens digit of b? 4 Let d(t) = -3*t - 3. Let w be d(-2). Let y = w + -1. Suppose -y*n = n - 27. What is the units digit of n? 9 Let n be 224/36 - 4/18. Suppose -o - n = -19. What is the units digit of o? 3 Let g(j) = 10*j**2 - 34*j - 2. Let a = 7 - 12. Let z(b) = -7*b**2 + 23*b + 1. Let p(q) = a*g(q) - 7*z(q). What is the units digit of p(9)? 3 Let p(c) = -c**3 + 3*c + 3. Suppose -q - 2*q = 6. Let n be p(q). What is the units digit of ((-2)/n)/((-1)/15)? 6 Suppose -103 = -3*t - f, t + 4*t - f = 177. What is the units digit of t? 5 Suppose -s + 74 = 3*j - 2*s, 0 = -5*j + 5*s + 130. What is the units digit of j? 4 Let b = 6 - 18. Let d = 31 + b. What is the tens digit of d? 1 Let h(y) = 17*y + 17. What is the hundreds digit of h(10)? 1 Let z = 25 + -10. What is the units digit of z? 5 Suppose -w + 346 = 5*q, -2*w = 5*q - 3*w - 344. What is the units digit of q? 9 Suppose 4*l + 0*l = 20. Let c(g) = 10 - 8 - g - l*g**2 + 6*g - g**3. What is the units digit of c(-6)? 8 Let q(a) = 2*a. Suppose 17 = 3*s + v, s - 5*v = -0*v - 21. Suppose 4*x - 2 = -m, -2*x + 12 = -s*m - m. What is the units digit of q(x)? 2 Let t(n) = -n + 1. Let h(i) = 4*i**3 - i + 1. Let s be h(1). Suppose -3 = -d + s*d. What is the units digit of t(d)? 2 Suppose -3*h + 4 = -2*h. What is the tens digit of (h/(-3))/((-4)/90)? 3 Let y = -21 - -74. What is the units digit of y? 3 Let g(o) = 2*o**3 - 6*o**2. Let c be g(4). Suppose 4*v - 3*b = -c, 29 = -3*v + 4*b - 2. What is the units digit of (-1)/(-2) + v/(-2)? 3 Suppose -5*v + 2 + 13 = 0. Suppose 5*j - v*n + 9 = 0, 0*j - 4*j + 6 = 2*n. What is the units digit of ((-21)/(-6) - j)*2? 7 Suppose 0 = 5*v - 87 - 43. Let p = -22 + 40. Let h = v - p. What is the units digit of h? 8 Let v(s) = 14*s + 2. Let r be 24/13 - (-14)/91. What is the tens digit of v(r)? 3 Let z(q) = q**3 - 5*q**2 + 2*q + 5. Let y = -1 - -2. Let o(u) = u**3 + u - 1. Let c(p) = y*z(p) - 2*o(p). What is the units digit of c(-5)? 7 Let a(s) = 9*s - 4. Let f be a(3). Let b = f + -39. What is the units digit of (-1)/4 - 164/b? 0 Let d = 8 + -13. Let u(z) = z + 7. Let k be u(d). Suppose -k*c = j - 16, -5*j + 3*c + 3 = -2*j. What is the units digit of j? 6 Let b(i) be the third derivative of 1/60*i**5 + 2*i**2 + 0*i + 1/6*i**3 + 1/24*i**4 + 0. What is the units digit of b(-3)? 7 Suppose 1 = x - 4*u + 15, -18 = -3*x - 3*u. Suppose -3*p = -x*c - 6*p - 5, -2*c + p + 7 = 0. What is the units digit of c? 2 Let q = -3 + 3. Let s = 2 + q. Suppose s*c - 3*c = -13. What is the units digit of c? 3 Let d(n) = n**3 + 8*n**2 + 2. Let u be d(-7). Let w = u - 101. What is the units digit of 9/12 + w/(-8)? 7 Let l(v) = -v - 7. Let r be l(-6). What is the tens digit of ((-21 - -2) + 2)/r? 1 Let h(w) = w**3 + 3*w**2 + w - 7. Let n(x) = 2*x - 4*x - x**3 - 6*x**2 + 2*x**2 + 7. Let o(l) = -5*h(l) - 6*n(l). What is the units digit of o(-8)? 1 Suppose -4*w = -3*g - 11 + 3, 0 = g + 5*w - 10. Suppose k = -g*k - 10. Let j = k + 19. What is the units digit of j? 9 Let a(u) = 24*u**2 + 2*u + 3. What is the tens digit of a(-2)? 9 Let k = 201 - 61. What is the hundreds digit of k? 1 Let n(p) = -p + 2. Let f(y) = -y**3 + 7*y**2 + 8*y + 9. Let q be f(8). Let l be n(q). What is the units digit of 270/35 - 2/l? 8 Let n be 8/3 - 2/(-6). Let m = n - 3. Let f = 1 + m. What is the units digit of f? 1 Let n be ((-24)/30)/(2/(-5)). Suppose n*x = 4*k - 128, -2*k + x - 2*x + 60 = 0. What is the units digit of k? 1 Suppose 0 = w + 5*c + 11 + 3, -w + 4*c = -4. Let h be w - -9 - (0 - -3). Suppose -p + 2 = -r - 7, h*p - 19 = r. What is the tens digit of p? 1 Suppose 5*v - 12 = 2*v. Suppose -99 = c - v*c. What is the tens digit of c? 3 Let n(z) = z**3 + 4*z**2 - z - 4. Let w be ((-6)/(-4))/(3/6). Suppose c - w*c = 6. What is the units digit of n(c)? 8 Let d(s) = s - 1. Let o(l) = -l - 1. Let r be o(-2). Let h(x) = 7*x**3 - x**2 - x + 1. Let q be h(r). What is the units digit of d(q)? 5 Suppose 0 = -5*d - 5*q + 275, -2*d + 3*q - 45 = -3*d. What is the units digit of d? 0 Suppose 5*w = 15 - 10. What is the units digit of w? 1 Let c(p) = -p**3 + p + 28. Let v be c(0). Let z = -12 - -32. Let n = v - z. What is the units digit of n? 8 Let w be 38/9 - 4/18. Suppose -3*l + 26 = w*k + 7, 0 = -3*k + 5*l + 7. Suppose 5*q = b + 16, -5*b - k = q - 2. What is the units digit of q? 3 Let k be 3/(-9) + (-26)/(-6). Suppose 0*z - 4*d + 36 = 2*z, 0 = -4*z - k*d + 92. What is the tens digit of z? 2 Let z = -120 - -316. What is the units digit of z? 6 Let z(n) be the third derivative of -2*n**2 + 0 + 0*n**5 + 1/6*n**3 + 0*n**4 + 0*n + 1/120*n**6. What is the units digit of z(1)? 2 Let p = 0 + 2. Let t(l) = 3*l + 1. What is the units digit of t(p)? 7 Let y(h) = h**2 - 5*h - 6. Let x(n) = 7*n**2 - 2*n + 1. Let a be x(1). Let f be y(a). Suppose 2*u - u - 15 = f. What is the units digit of u? 5 Suppose j = -11 + 17. What is the units digit of j? 6 Let a(f) be the third derivative of 0 + 2*f**2 + 1/120*f**6 - 1/6*f**3 + 0*f - 1/8*f**4 - 1/20*f**5. What is the units digit of a(4)? 3 What is the units digit of (36/20)/(6/50)? 5 Suppose 2*f + n = -48, 31 = -2*f + n - 9. Let z = -16 - f. What is the tens digit of z/12 + (-50)/(-4)? 1 What is the tens digit of -3 - -6 - 60/(-3)? 2 Suppose y + 2 = 7. Suppose -j + 2*n + 26 = 0, -2*j - n = -61 - 16. Suppose -s - j = -y*s. What is the units digit of s? 9 Suppose 4*g + 4*c = c + 50, g + 2*c - 10 = 0. Let m = g + -2. What is the tens digit of m? 1 Let d = -5 - -8. Let n = 25 - 21. Suppose -10 - 4 = -2*v + u, 0 = -n*v + d*u + 28. What is the units digit of v? 7 Let l be (9/(-12))/((-4)/16). Let f(i) = 14*i - 5. What is the units digit of f(l)? 7 Let u = 7 - 0. Let m = -5 + u. Suppose -44 = -5*i + i + 2*n, m*n - 44 = -4*i. What is the tens digit of i? 1 Let k = -16 - -24. What is the units digit of k? 8 Let x be ((3/1)/1)/1. Suppose x*p + 0*p = 39. What is the tens digit of p? 1 What is the hundreds digit of 3*(440/15 + 4)? 1 Let s = 7 - -7. What is the units digit of s? 4 Suppose 5*b - 7*b = 48. Let v = 56 + b. What is the tens digit of v? 3 Let m(x) be the first derivative of x**3/3 + 5*x**2/2 + 6*x - 5. What is the units digit of m(-4)? 2 Let c(o) = -34*o - 4. What is the units digit of c(-2)? 4 Let m = -10 - -6. Let n(f) = -f - 4. Let x be n(m). Suppose x = -5*v + 58 + 22. What is the tens digit of v? 1 Suppose 0 = j - 57 - 11. What is t
{ "pile_set_name": "DM Mathematics" }
546 Rearrange (-3*c - 64*c + 29*c)*(-381*c - 167314 + 167314)*(2*c**2 - 2*c + 2*c) to y + k*c + d*c**2 + p*c**3 + j*c**4 and give j. 28956 Express (-8*g + 3*g + 3*g)*(-5 + 16 + 12) + g - 30*g - 28*g - 8*g - 18 + 18 as x*g + r and give x. -111 Express (-c + 0*c + 2*c)*(14 - 14 - 2*c)*(-6*c**2 + 33*c**2 + 4*c**2) in the form t*c**4 + h*c + s*c**3 + w*c**2 + v and give t. -62 Rearrange 5 + 5 - 27*h**2 + 210*h - 212*h + 122*h**2 + 1 to the form u + d*h + y*h**2 and give y. 95 Express -39*i**2 + 75*i**2 - 42*i**2 + (-2*i + 3*i - 3*i)*(0*i - i - i) - 4*i**2 + 5*i**2 + i**2 + i**2 - 32*i + i + 4*i as v*i**2 + f*i + m and give v. 1 Express (0*v - v - v)*((-19 + 4 + 6)*(16 - 4*v - 16) + ((-5 + 1 + 5)*(2 - 1 - 2) - 25 - 24 + 58)*(4*v - 3*v - 2*v)) in the form p + l*v**2 + j*v and give l. -56 Rearrange 6*b**2 + 36*b - 95754 + 5*b + 95754 to c*b**2 + j + d*b and give d. 41 Rearrange 95*d**2 - 201*d**2 + 11*d + 103*d**2 + 3431 - 12*d - d to r + v*d + u*d**2 and give v. -2 Express 36*d**2 - 79*d**2 + 24*d**2 - 15*d + 4 + 43*d**2 in the form m + w*d + r*d**2 and give r. 24 Express (-3*p + 4*p - 2*p)*(3*p - 5*p + 5*p) - 2331*p**2 + 776*p**2 + 862*p**2 as l*p**2 + a*p + q and give l. -696 Express 2516*w + 60*w + 2877*w - 1330*w + 784*w in the form y + a*w and give a. 4907 Rearrange (4 + 4 - 5)*(-1 - 2 + 4)*(0*m + 0*m + m)*(52 + 5 + 149)*(-2*m + m + 0*m) to u*m**2 + r*m + a and give u. -618 Rearrange (i - i + 1 - 3*i)*(308 - 308 - 68*i) to p + n*i**2 + h*i and give h. -68 Rearrange -20*o + 6*o**3 - 2*o**4 - 5*o**3 - o**3 - 1 - 3*o**3 - 1 - o**2 to the form j*o**3 + q + m*o + t*o**4 + g*o**2 and give m. -20 Rearrange (57 + 24 + 0 + 20)*(21*o + 0*o + 12*o) to q + j*o and give j. 3333 Rearrange 10892*r - 10893*r - 558*r**2 - 14 + 15 to the form n*r + u*r**2 + f and give f. 1 Express -195233*p + 345 - 51 + 195231*p as u*p + x and give x. 294 Rearrange -105*n**2 + 18*n**2 - 94*n**2 + (-2*n + n - 3*n)*(21*n + 7*n - 17*n) to u*n + d*n**2 + z and give u. 0 Rearrange -3 + 2*r**4 + 3 + (-59*r + 30*r + 49*r)*(-r**3 + 2*r**3 + 2*r**3) to the form v + g*r**4 + j*r + c*r**3 + z*r**2 and give g. 62 Express (3 - 1 - 229*z + 174*z)*(-2*z + 5 - 5 + (-3*z + 2*z + 0*z)*(2 + 1 + 1)) as a*z**2 + p + w*z and give p. 0 Express -15305 - 11019*k + 15305 as y + u*k and give u. -11019 Express 61*j**2 - 7 - 2 + 5*j**2 + 40*j - 22*j - 19*j as v + q*j**2 + g*j and give g. -1 Rearrange 3464789*w**3 + w**2 - w**2 + 102*w - w**4 + 2*w**2 + 2 - w**4 - 3464787*w**3 to f + y*w**2 + s*w + t*w**4 + p*w**3 and give p. 2 Rearrange -707*j + 2*j**3 - 221*j - j**2 + 198732*j**4 - 1 - 198735*j**4 to the form u*j**2 + b*j + f + r*j**4 + a*j**3 and give a. 2 Rearrange (-98940 + 98940 + 1881*n)*(1 + 0 - 6 + 0) to the form f + h*n and give h. -9405 Rearrange -18084*y**3 - 282*y - 63*y**2 + 125*y**2 + 282*y - 64*y**2 to the form l*y + a + s*y**3 + r*y**2 and give s. -18084 Rearrange -2794*m + 14398*m + 10 + 1 - 13 to the form a + c*m and give a. -2 Rearrange ((4*m - 4*m - 2*m)*(-2*m - m + 4*m) + 6912*m**2 + 8185*m**2 - 3269*m**2)*(-3*m + 3*m - m) to n*m**2 + i*m**3 + p + v*m and give i. -11826 Rearrange -15 + 51*o**4 + 4 + 2 + 4*o + 9 + o**2 to the form h*o**2 + m*o + k + f*o**3 + t*o**4 and give t. 51 Express 43*d**2 + 92*d**3 + 29*d**2 - 77*d**2 + 64*d**3 as u*d**2 + r*d + y*d**3 + i and give y. 156 Express -22*s**2 + 127*s**3 + 56*s**3 + 25*s**4 + 1 - 13*s**4 - 10*s**4 as y*s**2 + w*s + m*s**4 + j + o*s**3 and give o. 183 Express 1535*n**3 + 486*n + 11*n**4 - 488*n - 1590*n**3 - n**2 as v*n**4 + t*n**2 + h + g*n**3 + j*n and give t. -1 Express ((-1 - 1 + 3)*(-4*d + 5*d + 0*d) - 104*d - 198 + 198)*(-1 - 3*d + 1)*(-2*d + 2 - 2) in the form w*d + t*d**2 + h + n*d**3 and give n. -618 Express (-1 + 19023*a + 9487*a + 1 + 40187*a + 38541*a)*(-3*a + 5*a + 0*a) as q*a**2 + j + n*a and give q. 214476 Rearrange -3 + 240*n**2 - 300*n**2 - 8*n**4 + 61*n**2 - 2*n**3 to the form x*n**4 + k*n**3 + w*n**2 + j*n + f and give f. -3 Express 169 - 169 - 37*d + (-3 + 0 + 5)*(-2 - d + 2) + 3 - 3 + 5*d + 3*d + 3*d - 4*d + (-3 + 3 + d)*(-1 - 2 + 2) as c + n*d and give n. -33 Rearrange (-6 + 2 + 3 + (4 + 4 - 6)*(-4 - 1 + 0))*(-73*o + 144*o + 409*o) to q*o + a and give q. -5280 Rearrange (-2*v + 4*v - 3*v)*(4720*v - 16*v**3 - 1 - 4696*v + 2080*v**2 - 2079*v**2) to the form l*v**4 + r*v + u*v**2 + g + j*v**3 and give r. 1 Rearrange b**3 - 26 - 14*b + 201*b**2 + 18 + 2*b + 11*b + b**3 to the form y*b + s*b**3 + h*b**2 + o and give o. -8 Express -113*u + 196*u - 4*u**3 - 126*u + 68*u**3 in the form i*u**2 + n + o*u + t*u**3 and give o. -43 Rearrange (1 + 0 + 0)*(-3*z**2 + z**2 + 0*z**2) + z + 85*z**2 - 1195679 + 1195679 to the form t + f*z**2 + c*z and give c. 1 Express 5385092*i**4 - 8*i**2 - 5385087*i**4 + 2*i**2 - 5*i**3 as z*i**2 + r + j*i**4 + b*i**3 + p*i and give p. 0 Express (a - a + 3*a)*(-a - 3*a + 5*a)*(-25*a - 266*a - 89*a) as l*a**2 + n*a**3 + c*a + h and give n. -1140 Rearrange 12*k - k**3 - 317*k**2 + 63*k + 317*k**2 + 0*k**3 to the form q*k**2 + u + j*k**3 + v*k and give v. 75 Express (4 - 2 - 3)*(-2*t**2 + 4*t**2 - 3*t**2) + 10*t**2 + 9*t**2 - 69*t**2 + 134 - 134 - 27*t**2 as v*t + w*t**2 + b and give w. -76 Express -469*m - m**2 + 20 + 26 + 290*m - 25 as x*m + d*m**2 + t and give d. -1 Rearrange (46812 + 83232 + 113997 + 16858 - 7700 - 4242)*(4 - 2*n - 4) to l*n + j and give l. -497914 Rearrange (8*w - 8*w + 25*w**2)*(-154*w - 141*w + 6 + w**2 + 307*w) to the form m*w + i*w**3 + d*w**4 + b + y*w**2 and give i. 300 Express -15*m - 148672*m**2 - 8 + 148672*m**2 + 6 - 67*m**3 in the form u*m + x*m**3 + v*m**2 + k and give x. -67 Rearrange (-5 + 7 + 3)*(36 + 73 - 29*v - 47) + (5*v - v - 3*v)*(-2 + 3 + 1) to the form t + z*v and give t. 310 Rearrange (1 + 1 + 3)*(-4 + 6 - 3)*(-316*k - 368*k - 541*k) to h + s*k and give s. 6125 Rearrange -4898*d - 148*d**2 + 9775*d - 4881*d - 8 to v*d + c + f*d**2 and give c. -8 Express 5*j**2 + 2*j**2 + 1 + 6*j**3 + 52*j - 3*j**2 - 20*j - 2*j**2 in the form w*j + i + l*j**2 + q*j**3 and give w. 32 Express (-3*x + x + 0*x)*(-3298 + 74*x**2 + 3298)*(8*x - 11*x - 17*x - 12*x) as b*x**4 + s + k*x + l*x**3 + f*x**2 and give b. 4736 Rearrange (-2*o**3 - 2*o**2 + 2*o**2)*(-4 + 0 + 5) - o + 19 + 5366*o**2 - 5365*o**2 - 3*o + o**3 to d + g*o**2 + l*o**3 + y*o and give d. 19 Rearrange -2*f**4 - 3*f**4 - 2*f**4 + (1789*f**2 - 1771*f**2 - 6*f**3 + 33*f**3)*(-2*f - 3*f + 7*f) to u*f**3 + o*f + p*f**4 + g*f**2 + b and give b. 0 Express 3 - 25*l**2 + 1230*l + 0 - 4 - 1222*l + 5 as w*l + c + b*l**2 and give c. 4 Express (2473*c**2 - 1350*c**2 + 2913*c**2)*(2*c + 1 + 0 + 2) + 5*c**3 + 6*c**3 + c**3 + 0*c**3 as h*c**2 + n*c**3 + d*c + k and give d. 0 Rearrange 4861*n + 3276*n + 2476*n + 4832*n to o + q*n and give q. 15445 Rearrange (3*z**2 + 2*z - 2*z)*(-9*z + 2*z - 106*z - 1) to f + h*z**2 + p*z**3 + u*z and give u. 0 Rearrange 2*j - 265 - 1740 - 120 to p*j + h and give p. 2 Rearrange (-19*n**2 - 7*n**2 - 4*n**2)*(-5 - 2 + 4)*(-95*n**2 + 57*n**2 - 149*n**2) to the form c*n**4 + p*n**3 + j*n + z + x*n**2 and give c. -16830 Rearrange (-6 - 31 - 2)*(7*s - 10*s + 12*s)*(1 - 1 - 1) to n*s + y and give n. 351 Express 173*x**3 - 137*x**3 + x**2 - 22*x**2 - x - 72*x**2 as v*x + u + k*x**2 + g*x**3 and give v. -1 Express -71*t**2 - 648 - t**3 - 643 + 0*t**4 - t**4 + 1289 as z*t**4 + g*t**3 + u*t + d*t**2 + j and give g. -1 Rearrange (0*o + 4*o - 2*o)*(2*o + 1 - 1)*(1288 + 3619*o - 1288) to the form u*o + a + p*o**3 + d*o**2 and give p. 14476 Express 1045*l + 157*l + 282*l + 3115*l in the form v + s*l and give s. 4599 Rearrange (2 - 1 + 2)*(-163 - 48 + 59)*(-3*m**2 + m**2 - 2*m**2) to g*m + w + r*m**2 and give r. 1824 Express (-2 - 2 + 362699*y - 347403*y + 4)*(4*y - 1 + 4 - 2) in the form a + l*y + h*y**2 and give h. 61184 Rearrange 5533*z - z**2 - 24 - 5572*z - 92 + 23 to o*z + d + t*z**2 and give d. -93 Express -3*t + 27650 + 3*t - 29347 - 3*t - t as s*t + l and give s. -4 Rearrange 349825031 - 349825031 + 32713*t to x*t + s and give x. 32713 Rearrange (-2685982*z**2 + 211*z**3 + 2685982*z**2)*(1 + 0 + 1) to k*z + a + p*z**2 + c*z**3 and give c. 422 Express o**2 + 2984*o - 6067*o + 41*o**3 - 7*o**4 - 1 + 3074*o in the form j*o**4 + f*o + r*o**2 + p*o**3 + u and give j. -7 Rearrange h**4 - 25*h**4 + 13*h**4
{ "pile_set_name": "DM Mathematics" }
m, -5*m + 8*m = 4*r - 9. Suppose 6 = o - q, 34*q + 3 = 4*o + 37*q. Let y(g) = -2*g + o*g - 113 + 107 - 7*g + 5*g. What is y(r)? -6 Let d be -1 - ((-2)/5 - 126/35). Let a(m) = -141*m**3 - 137*m**3 - 1 - 143*m**3 - 3*m**2 + 420*m**d - 2*m. Determine a(-3). 5 Let p(v) = 1. Let x(y) be the second derivative of y**3/2 + 9*y**2 - 87*y. Let k(t) = -18*p(t) + x(t). What is k(-3)? -9 Let a(i) = -44*i**3 - 1. Let b(y) = -y**3 + 3*y**2 + 16*y - 47. Let d be b(4). Give a(d). -45 Let p(x) = 2*x**3 + 2*x**3 - 2*x**3 - 1 - 1657*x**2 - 3*x**3 + 1656*x**2. Let u be ((-8)/6)/(12/(-18)). Calculate p(u). -13 Suppose -2*r - 20 = -14. Suppose -8*d - 4*d - 24 = 0. Let v be d/(-3)*3/(-6)*r. Let z(p) = 32*p**3 + p**2 - 1. What is z(v)? 32 Let n be ((-10)/(400/(-15)))/((-2)/(-16)). Let m(p) = -5*p + 597 - 1200 + 598 - p**n + 8*p**2. Determine m(7). 9 Suppose 4*h - 16 = -n, n - 5*h + 45 = -4*n. Let a be 3/(-1 + (-2)/n). Let w(u) = -31*u - 27*u + 59*u + 7. Give w(a). 1 Let r(n) = -12*n + 62. Let l be r(5). Let m(i) = -5 + 122*i - i**l - 112*i + 4. Determine m(9). 8 Let u(v) = 15*v + 6*v + 9 - 46 + 12 + 11. Give u(4). 70 Let k(j) = -14*j - 267. Suppose -290*g - 2394 = -164*g. Determine k(g). -1 Let s(p) = 7*p. Let x be 20*(-1 + (-2)/(-4)). Suppose 0 = -17*c - 13 - 140. Let b = x - c. Give s(b). -7 Let u(v) = -6*v - 18. Let o(p) = -51*p - 186. Let f(w) = 2*o(w) - 21*u(w). Determine f(-4). -90 Let i(t) = 2*t**3 - 3*t - 4. Let k(h) = -6*h**3 + 7*h + 9. Let b(a) = -5*i(a) - 2*k(a). Let l = -18 - -16. Give b(l). -16 Let o(m) be the third derivative of -m**6/120 + 3*m**5/20 - 5*m**4/12 - m**3/3 + 3504*m**2. Calculate o(8). -18 Let d(t) = -8*t + 169. Let g be d(21). Let a(s) = -47*s**3 + 1. Calculate a(g). -46 Suppose 0 = 10*q - 1043 + 143. Let r(n) = 96*n + q*n - 184*n - 6. Calculate r(12). 18 Let p(i) = 2*i - 8. Let x be 352/(-121) + 3 - 96/(-33). Give p(x). -2 Let w(p) = 15*p - 30. Suppose -437 + 445 = -o + 4*f, 5*o - 3*f = 45. Calculate w(o). 150 Let p(i) = -i**2 + i + 7. Suppose -16*w - 2353 = -785. Let z be 0/(10/(-7) - (-56)/w). Determine p(z). 7 Let z(d) = -d**2 + 9*d - 14. Let m be z(6). Let y be (-3)/3*m + 7 + -4. Let c be ((-5)/(-5))/((-9)/6 - y). Let w(o) = 3*o**2 + 2*o - 2. Calculate w(c). 6 Let p(g) = g**2 + 2*g - 15. Suppose 3*f = v + 9, -f = -299 + 298. Calculate p(v). 9 Let i(a) be the first derivative of -8*a**2 - 52*a - 373. Determine i(-4). 12 Let h = 3615 + -3615. Let b(g) = 3*g**2 + g - 2. What is b(h)? -2 Let a(q) be the first derivative of -q**3/3 + 3*q**2 + 3*q - 5. Suppose -42*u - 76 = -43*u. Let m be (-152)/u - (1/1 - 7). Give a(m). 11 Let v(k) = -74*k**2 - 31*k + 56. Let y(t) = -27*t**2 - 10*t + 17. Let n(p) = 4*v(p) - 11*y(p). What is n(12)? 13 Let h(u) = 14 - u + 18 + 18 - 49. Let j be 4/(-2) - (-3)/((-9)/6). Calculate h(j). 5 Let t(c) = c - 3. Let g(m) = m**3 + 7*m**2 + 4*m - 9. Let y be g(-6). Suppose 5*p = y*p + 2. Let l be p + (0 - (-3)/(-3)). Calculate t(l). -3 Let o(k) = -4*k - 3. Let v(h) = -h**3 - 3*h**2 + 47*h - 15. Let w be v(-11). Let c = w + -441. What is o(c)? 17 Let s = -48 + 52. Suppose -s*p = -4*p - 4*p. Suppose p = -0*x - 0*x + 6*x. Let t(y) = -y + 5. Calculate t(x). 5 Let q(v) be the second derivative of 2*v**3/3 + 17*v**2 - 233*v. Give q(0). 34 Let l(g) = -4*g + 3. Suppose 4*z - 9 = 15. Suppose z*w = 2*w - 4. Let a be ((-1)/w)/(-2) - (-5)/2. Calculate l(a). -5 Suppose -2*p - 3*p + 25 = 0. Suppose 11 = -p*h + 91. Suppose -11*n = -h*n - 10. Let d(m) = -2*m**2 + 3*m + 3. Give d(n). -11 Let w(r) = 3*r**2 + 193*r - 298. Let t be w(-66). Let p(h) = -h**3 + 31*h**2 + 34*h - 80. Give p(t). -16 Let i(d) be the second derivative of -7*d**3/3 + 9*d**2/2 + 3*d. Let t(l) = 5*l - 3. Let q = 181 - 185. Let a(x) = q*i(x) - 11*t(x). Give a(3). 0 Let x(t) = -t**2 - 9*t + 13. Let l(h) = h**2 + h - 2. Let p be l(3). Let k = 22 - 19. Suppose -p*z = -k*z + 70. What is x(z)? 3 Let t(d) be the third derivative of 7*d**4/8 + 653*d**3/6 - 1383*d**2 + 3. What is t(-31)? 2 Suppose -190*g + 191*g - 3 = 0. Let l(n) = 13 - 101*n**3 - 10*n**2 + 34*n**3 + 34*n**g + 7*n + 34*n**3. What is l(9)? -5 Let o be (-2)/5 + 1/5*2. Let z(x) = 784*x - 3*x**2 + 6 + 7*x**3 + o*x**3 - 788*x. Let c(i) = i**3 - i**2 + 1. Let h(v) = 6*c(v) - z(v). Calculate h(-4). 0 Let x(u) = -u**2 - 41*u + 4. Suppose -5*q + 3*i - 199 = 0, -5*q + 21*i - 22*i - 207 = 0. Calculate x(q). 4 Let h(b) = -b + 2. Suppose r = -17 + 22. Suppose c - 35 = 3*j + j, -71 = -3*c - r*j. Let z = c + -27. Determine h(z). 2 Suppose 2*y - 70 = 2*u, -2*y - 32*u = -36*u - 80. Suppose 0*g - 4*g = 3*h + 21, 5*h + 5*g = -y. Let l(w) = -2*w**2 - 3*w - 3. Determine l(h). -12 Let r(x) = 1. Let c(z) = -z**2 - 98*z - 282. Let p(w) = -c(w) + 5*r(w). Give p(-3). 2 Suppose -3*y - 98*n = -97*n - 23, -4*n = 4*y - 44. Let z(h) = 42*h - 250. Calculate z(y). 2 Let l(h) be the third derivative of -29*h**4/24 - 7*h**3/6 - 6506*h**2. What is l(-1)? 22 Let y(m) be the second derivative of -3*m + 0*m**2 + 1/6*m**3 - 4. Give y(5). 5 Suppose 0*x + 4*x = i - 261, 0 = -8*x + 4*i - 532. Let c(g) = 5*g**2 + 319*g - 63. Give c(x). 1 Let u(n) be the first derivative of -7*n**3/3 - 5*n**2/2 - 3*n - 1207. Determine u(-2). -21 Let m(q) = -q**2 + 13*q + 289. Let i(s) = -s + 91. Let a(z) = 3*i(z) - m(z). Determine a(17). 1 Let s be 6/27 - (3 + 75/(-27)). Suppose -k = -n - s*k, -10 = -2*n - 3*k. Let r(z) = -11*z**n + 2*z + 7*z**2 + 4 + z - z. Calculate r(3). -26 Let l(w) = -5*w + 92. Suppose 368*h + 257*h = 8125. Give l(h). 27 Let k = -61 + 56. Suppose 2*g + 3*u = 8, 21 = 4*g + 4*u + 5. Let c(s) = 6 + 2*s**3 + s**3 - 5*s**2 + s - g*s**3. What is c(k)? 1 Let d(p) = p**2 - 5*p + 4. Let m(f) = 42*f**2 + 43*f**2 + 21 - 80*f**2 - 24*f. Let l(q) = 11*d(q) - 2*m(q). Give l(3). -10 Suppose 35*u + 615 = 50*u. Suppose -121 = 10*d - u. Let t(z) = 2*z + 4. Determine t(d). -12 Let c(f) = f**3 - 9*f**2 + 43*f. Let k(d) = 2*d**3 - 16*d**2 + 90*d - 3. Let u(i) = -13*c(i) + 6*k(i). Calculate u(20). 2 Suppose 2*d + 4 = 3*f, -10 + 8 = d. Let x(y) = 3*y**2 + 1. Let u be x(-1). Suppose f = -u*q + q. Let p(s) = -s**3 - s - 15. Give p(q). -15 Let k(w) = -w + 1. Let f(h) = h**3 + 21*h**2 + 4. Let r be f(-21). Suppose r*p + 2*v - 180 = v, 3*v = -5*p + 225. Suppose 5*a - 14*a + p = 0. Calculate k(a). -4 Let j(w) = -w**3 + 4*w**2 + 5*w + 1. Let f = 37 + -47. Let g(k) = -k**3 - 9*k**2 + 9*k - 8. Let a be g(f). Let b be 27/6 + a/4. Give j(b). 1 Let j(h) = -27*h - 492. Let i be -19*(1 + 0) - 1/(-1). Calculate j(i). -6 Let a = 1255/2 - 627. Let w(c) be the first derivative of -11 - a*c**2 + 0*c. Give w(2). -2 Let l(t) = -4*t + 2. Suppose 5*h = 5*o + 2*h + 12, 0 = -4*o - 3*h + 12. Suppose 2*m + 7*m = o. Suppose -d - 3*n - 13 = m, -5*n - 7 = -d - 4*n. Give l(d). -6 Let r(z) be the third derivative of z**6/120 + z**5/15 - z**4/3 - 3*z**3 - 883*z**2 - 2. Determine r(-5). -3 Let i(r) = -r**2 - 6*r**3 + 467456*r + 4*r**3 + r**3 - 467453*r - 9. Calculate i(-4). 27 Let v(k) = -k + 9. Suppose -4*p + 8 = 0, -10*a + 4*p - 5 = -13*a. Let t = a + -7. What is v(t)? 17 Let b(w) be the third derivative of w**5/60 - w**4/6 - 5*w**3/6 + 12*w**2 + 1. Calculate b(0). -5 Let h(l) be the third derivative of -l**9/7560 - l**7/5040 - l**6/720 - 43*l**5/60 - 16*l**2. Let m(p) be the third derivative of h(p). Determine m(-1). 8 Let p(q) = 3*q**3 + q**2 - 7*q - 20. Let n(i) = -i**3 + 2*i + 7. Let a(u) = -8*n(u) - 3*p(u). Let b(w) = w**3 + 2*w**2 - 6*w - 15. Let t be b(-2). What is a(t)? -11 Let l(r) = r**3 + 7*r**2 + r - 2. Let n be l(-3). Let y(k) = -3 - 35*k + 2 + n*k. Let b(g) = -g**3 + 10*g**2 + 2. Let j be b(10). Give y(j). -9 Let o(n) = n**2 + 16*n. Let s(g) = g**3 + 7*g**2 + 3*g + 6. Suppose -38*u = -48*u - 70. Let c be s(u). Determine o(c). -15 Let y be (-2*15)/(((-18)/4)/(-3)). Let g = -18 - y. Suppose 3*d + g*d = 0. Let b(q) = -q**2 - q - 2. What is b(d)? -2 Let k(q) = -q**3 + 8*q**2 + 23*q - 1. Let i(c) = -395*c + 2380. Let w be i(6). Determine k(w). 29 Let l(v) = -v**3 - 14*v**2 - 14*v + 18. Let g be l(-13). Suppose -4 = k - 31. Let t = g - k. Let s(o) = -o + 5. What is s(t)? 1 Let y(d) = 3*d + 29. Let r be y(-10). Let p(a) = 17*a**2 - 9*a - 8. Let q(s) = 19*s**2 - 6*s - 5. Let f(m) = -2*p(m) + 3*q(m). Give f(r). 24 Let f(y) = y**3 - 8*y**2 + 9*y - 5. Let u(r) = -4*r**2 - 23*r + 13. Let g = -2
{ "pile_set_name": "DM Mathematics" }
-13111/2 or 0? 0 Which is smaller: 1 or -1596? -1596 Is -91 > -83? False Which is greater: -0.68 or 250? 250 Is -0.1 greater than 65? False Is -0.1 <= 0.123? True Is 7928/5 at most as big as 0? False Which is greater: -2 or 145? 145 Which is smaller: -1/3 or -1/395? -1/3 Are 1/252 and -1 non-equal? True Does -36 = 6? False Is -6 greater than -5? False Which is bigger: -4.038 or -0.1? -0.1 Does -1/6 = -1? False Is -235 < -27/4? True Which is smaller: -183 or -7? -183 Is 265 bigger than 265? False Which is bigger: 52 or 198? 198 Which is greater: 57 or 0.7? 57 Is -392 != -360? True Which is smaller: 2/407 or -1? -1 Is 39 less than or equal to -4/5? False Which is smaller: 9 or -55? -55 Are -4 and 9 nonequal? True Is 710 smaller than 710? False Is -3.767 >= -3? False Is 309 at most as big as 311? True Is -21 less than -4/41? True Is 181 greater than 182? False Do -4/319 and 1 have the same value? False Is 3/64 greater than 66? False Is 55 at most as big as 54? False Which is smaller: -2 or -678? -678 Which is smaller: 2 or 277? 2 Is -2/1653 at least -6? True Is 1 less than -2/435? False Are -1 and 290/11 equal? False Which is smaller: 113/17 or 6? 6 Which is smaller: -164 or -163? -164 Is 77 <= -2/9? False Do 3580 and -1 have the same value? False Which is smaller: -34713 or -34712? -34713 Is 4 less than -734? False Is -4/3 less than 0.2? True Which is bigger: 0 or 72? 72 Is 181 at most as big as 212? True Is 11 greater than 510/41? False Is -238 at most -5/2? True Which is greater: 19955 or 19956? 19956 Which is greater: 1041/16 or 66? 66 Is -3 > -132/43? True Which is bigger: 122/95 or -2? 122/95 Which is smaller: -756 or -758? -758 Is 2/25177 equal to -1? False Which is greater: 35 or 3/5? 35 Is 12 bigger than 10? True Which is smaller: -1058 or -1067? -1067 Are 3041/7 and 435 equal? False Is -174 greater than -174? False Which is bigger: -803 or -805? -803 Is 17 <= -91? False Which is smaller: 4 or -0.33? -0.33 Is -73 less than -128? False Which is smaller: 221 or 207? 207 Does 0 = -84/319? False Are 196/13 and 10 non-equal? True Is -13/97 >= 1? False Are -1/72 and 13 non-equal? True Which is bigger: 352 or 345? 352 Are -62 and -3/5 unequal? True Which is greater: 5 or -2/17? 5 Which is greater: -212 or 7? 7 Which is greater: -135 or 19? 19 Is -0.28 != 0.092? True Which is bigger: -710 or -708? -708 Which is bigger: 0 or 24/43? 24/43 Is 62 greater than 64? False Which is smaller: 117 or 29? 29 Which is smaller: 873 or 2615/3? 2615/3 Which is smaller: -222 or 0? -222 Does -8472 = -8475? False Is -4033 at most -4034? False Is 1/648 < -1? False Which is smaller: -8 or -7? -8 Do -3002 and -3002 have different values? False Which is greater: -43 or -44? -43 Is 0 smaller than -383? False Is -2340 < -2340? False Is 205 greater than 186? True Which is smaller: -15 or 17? -15 Are -1097 and -1096 unequal? True Which is smaller: -1/43361 or 1? -1/43361 Which is bigger: -2 or -8/5? -8/5 Which is smaller: 0 or 1/969? 0 Is 37 less than 264/7? True Which is smaller: -57 or -60? -60 Which is smaller: 1979 or -2/5? -2/5 Are -240/13 and -19 unequal? True Which is smaller: -28 or -22? -28 Which is smaller: -2.1 or 10? -2.1 Which is smaller: -2/2693 or -0.1? -0.1 Is 453 >= 453? True Is 3 greater than -77? True Which is smaller: 14 or 328? 14 Is -142 < -144? False Are 55 and -6 nonequal? True Which is smaller: -27 or -19? -27 Is 168 greater than 165? True Which is smaller: 40037 or 40038? 40037 Are -1 and -15/112 non-equal? True Which is bigger: 1 or -39/196? 1 Is -46134 greater than or equal to -46132? False Which is smaller: -33/7 or 0? -33/7 Is 3509 bigger than 3508? True Is -3/14 less than or equal to -2? False Is 0.15 < -8? False Which is greater: 2/1425 or -1? 2/1425 Which is smaller: -1 or 2/1171? -1 Are 356 and 357 unequal? True Is 5357 smaller than 5356? False Is -4922 < -4921? True Which is smaller: -10.27 or -11? -11 Is -0.324 < 0.026? True Which is greater: -419 or -1? -1 Which is smaller: -1 or 2122? -1 Which is bigger: -10661/2 or -5331? -10661/2 Which is smaller: -197/4 or -49? -197/4 Is -953 > -952? False Are 219/4 and 56 nonequal? True Which is bigger: 446 or 447? 447 Is 1205 at least 1204? True Which is greater: 1/12 or -33? 1/12 Which is greater: -1235 or -1230? -1230 Is 1 at least as big as -6/73? True Which is smaller: -53 or -17? -53 Is 0 greater than -3/3772? True Which is smaller: 0 or 9/752? 0 Do -17 and 10 have the same value? False Is -1/4 smaller than 778? True Which is greater: 348 or 2444/7? 2444/7 Are -2 and -14/17 nonequal? True Which is smaller: 454 or 455? 454 Which is smaller: 28 or 30? 28 Which is greater: -1 or 21/20? 21/20 Is 2/5 < 49? True Which is greater: -1 or -4/729? -4/729 Is -0.1513 equal to -0.1? False Which is smaller: 425 or 5544/13? 425 Which is greater: 19847 or 19846? 19847 Are -30/853 and 1 non-equal? True Which is smaller: -6 or -22? -22 Do 175 and 1230/7 have the same value? False Which is greater: -1 or -10/1047? -10/1047 Is -238 at least -238? True Do -681 and -686 have the same value? False Is -0.4 equal to -7? False Which is bigger: -106/7 or -14? -14 Is 446 < 446? False Which is smaller: 0.1 or -3.78? -3.78 Is 226 equal to 226? True Is -3039 >= -3039? True Is -1/900 bigger than 0? False Is 9031 greater than or equal to 9030? True Is 49 < 50? True Are 2 and -13 non-equal? True Which is smaller: 0.08 or -28/17? -28/17 Do 0 and -3/1009 have the same value? False Are -493 and -493 nonequal? False Is 0 less than or equal to 12/19? True Which is bigger: 176 or 884/5? 884/5 Which is smaller: -25500 or -25498? -25500 Which is smaller: 845 or 847? 845 Which is smaller: 50 or 31? 31 Which is greater: -20516/7 or -2932? -20516/7 Which is smaller: 1 or -23/55? -23/55 Is 1 equal to -2/427? False Which is bigger: -337 or -338? -337 Which is greater: 237 or 236? 237 Which is greater: 9/5 or -17? 9/5 Are 41/12 and 4 non-equal? True Which is smaller: -508/7 or -72? -508/7 Is 15 at least as big as 14? True Which is greater: 4007 or 4006? 4007 Is 1 smaller than 145/223? False Is 0 < 1/19013? True Which is smaller: 1 or 6/565? 6/565 Is 166 greater than 4/5? True Which is greater: 0 or 5/33? 5/33 Is -124 smaller than -125? False Do 3/4 and 31 have different values? True Is 1 less than -4/1105? False Is 1 at most -4463? False Which is smaller: 0.06585 or -0.2? -0.2 Are 270 and 272 unequal? True Is 42079 greater than or equal to 1/4? True Which is smaller: -8/127 or -1? -1 Which is smaller: 6166/3 or 2055? 2055 Which is smaller: 8 or 4? 4 Which is smaller: -15/1048 or -1? -1 Are -1 and -69/37 unequal? True Are -30 and -28 equal? False Is 5322 at least as big as 5322? True Which is smaller: -285 or 1/5? -285 Which is smaller: -2/71 or -4? -4 Which is greater: 922 or 921? 922 Is 489/23 != 20? True Do 0 and -20/2547 have the same value? False Is 3 less than or equal to 142/67? False Which is greater: 32.9 or 2? 32.9 Are 1 and -8 equal? False Are -1 and -1/965 equal? False Which is greater: 42 or -25? 42 Do 0 and -18/241 have different values? True Is -76 at least as big as -3546/47? False Is 7002 at least as big as 7001? True Is 339 greater than 332? True Which is greater: 1 or 19/20? 1 Which is bigger: 2 or 0.392? 2 Which is smaller: -4/13565 or -1? -1 Which is smaller: 11074 or 11076? 11074 Is -60/77 smaller than -1? False Is -7 less than or equal to -47/6? False Which is bigger: 990 or -2? 990 Which is bigger: 2 or 97/29? 97/29 Which is smaller: -1 or 586? -1 Which is smaller: 1/6 or 734? 1/6 Are -129 and -121 equal? False Is -641 greater than -642? True Which is bigger: -429/25 or -0.1? -0.1 Which is smaller: 7/409 or -4? -4 Which is smaller: -108.5 or -0.2? -108.5 Which is greater: -0.2 or 1305? 1305 Which is smaller: -53947 or -53946? -53947 Is -51 equal to -1518/29? False Which is smaller: -3/2771 or -1? -1 Is -1/7431 not equal to 0? True Which is smaller: -4/301 or 0? -4/301 Is -45/8 < -6? False Which is greater: 1 or -22/527? 1 Is 24 >= 835? False Is 6 > 191/26? False Is -38/41 < 0? True Does 0 = -2/151? False Which is smaller: 1490 or 1484? 1484 Which is smaller: -287 or -284? -287 Which is bigger: -1 or -1/7? -1/7 Do -2401 and -2401 have different values? False Is -7912 at least 1/4? False Do 1/18896 and -1 have th
{ "pile_set_name": "DM Mathematics" }
se Suppose -6 = -3*s, 5*s - 484 = i - 4*i. Suppose -x + 0*x + i = 0. Is x/8*24/6 a prime number? True Let a(l) = -111*l - 53. Is a(-4) a composite number? True Let m = -2 - -6. Suppose m*o = -o + 575. Is o a prime number? False Let p be -1*(-3 + -2) + 3. Suppose 0 = 6*i - p*i + 374. Is i a composite number? True Let j be 6/9*-1*-6. Suppose -j*g = -62 - 150. Is g a composite number? False Suppose -p - 4*p = 0. Let j = -4 - 5. Is (-1 - p)*(2 + j) composite? False Suppose -f = -4*n + 43, -4*f = -f - 3. Is n composite? False Suppose j - 30 = 21. Is j prime? False Suppose 3 + 1 = 2*n. Suppose -n*d + d + 62 = -5*m, -10 = 5*m. Let v = 1 + d. Is v a prime number? True Let g(v) = v**3 + 6*v**2 + 4*v - 1. Let n be g(-5). Suppose -n*q + 2*l + 13 = -1, 0 = -4*q - 4*l + 8. Suppose 0 = q*t - 9 - 9. Is t composite? True Let j be ((-28)/(-16))/(1/332). Suppose 0*h + h = j. Is h a prime number? False Let d = 15 + -9. Let u = -3 + d. Suppose 0*p + 66 = u*p. Is p a prime number? False Suppose -1609 = -3*h - 352. Is h a composite number? False Suppose 0 = 6*y - 14*y + 13256. Is y composite? False Let f = 0 - -2. Suppose f*u - 6 - 24 = 0. Is u prime? False Let b(d) = d**2 + 2*d + 2. Let u be 2*(-3)/(-6)*5. Is b(u) a prime number? True Is (-8)/(-44) + (-3406)/(-22) a composite number? True Let c(r) be the second derivative of 1/20*r**5 + 0 - 3/2*r**2 + 0*r**3 - 1/12*r**4 + 3*r. Is c(3) a prime number? False Let w(b) be the first derivative of b**4/4 - b**3 - 4*b**2 + 12*b + 1. Let r be w(8). Suppose 9 = -2*a + 3, a = 5*t - r. Is t prime? True Suppose 5*v - d = 369, 3*d - 143 = -2*v + 8*d. Is v prime? False Let g(k) = -441*k - 7. Let n(f) = 221*f + 4. Let h(c) = -4*g(c) - 7*n(c). Let t(s) = s - 4. Let o be t(5). Is h(o) prime? False Is 2/(-7) - (-5916)/28 a composite number? False Let r(x) = x**2 + 18*x - 10. Let w be r(-8). Let u = 269 + w. Is u composite? False Suppose -4*g = -2*k + 850, -3*g - 203 = -k + 227. Is k prime? False Let r = 188 + -93. Is r prime? False Suppose -2*x = -2*a - 3*a + 7, -2*x - a + 11 = 0. Suppose 0 = 5*u - g - 37 - 55, -2*u + x*g = -26. Is u a composite number? False Let m = 89 - -804. Is m a composite number? True Suppose 4*a = l + 856, 0 = 5*a - l - 840 - 229. Let b = a + -136. Is b a prime number? False Let c = -57 - -184. Is c composite? False Let i = 3 + -3. Let q = i + 0. Let o(d) = d**2 + 10. Is o(q) prime? False Let g be ((-6)/(-24))/((-1)/(-4)). Let d be (-3 + 2)/g - -1. Let b(u) = -u**2 + u + 23. Is b(d) composite? False Suppose 4 = 5*a - 6. Suppose a*c - 339 = -c. Is c a composite number? False Let a(w) = 2*w - 6. Let z be a(6). Let n = -8 + z. Let h = n + 5. Is h a composite number? False Let q(w) = w**3 - 3*w**2 + 5*w - 5. Let b be ((-32)/10)/((-4)/10). Is q(b) prime? False Suppose -2*r + 1066 = -420. Is r prime? True Let i(b) = -11*b + 2. Let a(k) = k - 1. Let o(f) = 3*a(f) + i(f). Is o(-15) composite? True Let c(z) = -z**3 + 5*z**2 - 1. Let v be c(4). Suppose 0 = 3*a + o - v - 34, 0 = -o - 2. Suppose y - r = a, -2*y = 3*y - 4*r - 81. Is y composite? False Suppose d = 91 + 648. Is d prime? True Let f = -23 + 166. Let y = -74 + f. Is y a composite number? True Suppose v = -2*v - 303. Let f = 240 + -498. Let m = v - f. Is m a composite number? False Let m = -6 + 4. Let o be (-1)/(-1)*(2 - m). Suppose 5*p + 501 = 4*x, -o*p + 476 = 5*x - 99. Is x a composite number? True Let o = -12 + 2. Is ((-190)/4)/(5/o) composite? True Let d(g) = 13*g + 9. Let k be d(-6). Let p(c) = 3*c**2 - 6*c - 1. Let t be p(-7). Let m = t + k. Is m composite? True Suppose -z + 4*q + 3 + 1 = 0, -z + 4 = q. Suppose -5*n - 52 = -o, 5*o - 160 = o + z*n. Is o a composite number? False Let z be 4/(-6) + 6450/9. Let m = 1269 - z. Is m prime? False Suppose 4*r + 12 = -36. Is (-952)/r - (-3)/(-9) composite? False Let i(b) = b**3 + 27*b**2 - 2*b - 7. Is i(-15) composite? True Suppose 0 = 4*c - 2*c - 6. Let j(m) = -m + 3*m - 3*m**2 - 2 + m - m**c. Is j(-4) a composite number? False Suppose -m = -3*f - 57, -f + 3*f + 38 = 2*m. Let r = f - -35. Suppose s + 2 = r. Is s composite? True Let b be (-12)/8*(-1 + -1). Let r = 0 + b. Suppose 0 = 2*a - r*a + 11. Is a composite? False Let k = -5 + 6. Let c = -3 + k. Let t = 5 + c. Is t a prime number? True Suppose 3*m + 2 - 11 = 0. Is (m/9)/(1/555) a prime number? False Suppose 0 = 3*c - 9, c = 5*h - 4*c - 5. Suppose 5*q = g + 265, 106 = 2*q + h*g + g. Is q a composite number? False Let k = 1 - -3. Suppose 4*z + k = 0, 5*z = 2*a - 20 - 513. Is 4/(-6) - a/(-18) a prime number? False Let o be (-55950)/(-24) + 3/4. Let y = o + -1341. Is y a composite number? False Let l be -1 + 3/((-3)/(-2)). Suppose -j + 6*m = 2*m - 5, 4*m = 3*j - 7. Is (l - 3) + j + 36 a prime number? False Let c = -4 + 7. Suppose -w = c*w - 120. Suppose w = v + 7. Is v a prime number? True Let p(t) = -t**2 - t - 33. Let m be p(0). Suppose 4*o = 3*o - 23. Let h = o - m. Is h prime? False Let a = -2 - -2. Suppose -4 = -a*u + 4*u. Let w = u + 4. Is w a composite number? False Suppose -h + 55 = a, 0*a = a - 4*h - 55. Is a composite? True Is 2/(-2)*-1*9004/4 a composite number? False Let j(s) = s - 3. Let p be j(-6). Let h = 23 + p. Is h prime? False Let g be (-54)/(-15) - 12/20. Is g + -3 + 53/1 prime? True Suppose -25*q = -23*q - 278. Is q prime? True Let f = -13 - -17. Let x(s) = 3*s**3 + 3*s + 7. Is x(f) composite? False Let b = -21 - -25. Is 74 - (3 + (b - 4)) prime? True Suppose 3*n = -3 + 9. Suppose -n*t = -3*t + 119. Is t prime? False Suppose 3*g - 3*p - 108 = 0, -p - 176 = -3*g - 2*g. Suppose 0 = 5*i - 3*u - 173, 4*i + 5*u + g - 166 = 0. Is i a composite number? True Suppose 4*m - 3*m - 2 = 0. Suppose -k + m*t = -56 - 14, 4*k = -3*t + 236. Is k a prime number? False Let z = 70 + 113. Is z composite? True Suppose -3*h + 4*r = -762 + 141, -5*h + 3*r = -1046. Is h a prime number? True Let f be ((-1)/3)/(3/(-27)). Let v(s) = s**2 - 2*s + 1. Is v(f) composite? True Suppose 2*g = 26 - 2. Let r be (-3 + g)*(-1)/(-3). Suppose -2*w + r*c + 50 = 2*c, c = w - 27. Is w composite? False Suppose 2*g = -2*g + 76. Is g composite? False Let f(a) = -a**3 - 7*a**2 + 7. Suppose -6 = -5*y + 3*y. Let d = -4 - y. Is f(d) a prime number? True Let o(y) = -y - 1. Let i be o(6). Let a(f) = f + 10. Let m be a(i). Suppose -t - 42 = -m*t. Is t a prime number? False Is ((-239)/(-1))/(0 - -1) a prime number? True Let i(r) = -4*r**2 - r + 1. Let y be i(1). Let s be ((-1)/2)/(y/48). Is 8/s - (-10)/15 a prime number? True Suppose -2*u + u = -5*l + 10, -5*u = 0. Suppose l*n + 423 = -o + 1308, -4*n - 4439 = -5*o. Is o prime? True Suppose 0*r + 1580 = 4*r. Suppose -4*w + 2*h + 324 = 0, -2*h = -5*w + 3*h + r. Is w composite? False Let q = -99 + 188. Is q composite? False Let q = -68 - -363. Is q a composite number? True Let x(m) = 31*m - 3. Let d = -2 + 4. Is x(d) composite? False Let f = 20 + -14. Suppose 3*t - 17 = 4*i, -11 = -4*t + f*i - 3*i. Let o(r) = -56*r - 1. Is o(t) a prime number? False Let x = -142 - -336. Is x composite? True Suppose -5*f + 2*f = -5679. Is f a composite number? True Let p = 9 + -10. Let a be 2/((-21)/24 - p). Suppose 6 - a = -n. Is n a prime number? False Suppose 2*d - 3*a - 430 = -2*d, 4*a - 8 = 0. Suppose -2*o + 159 = -d. Suppose 2*f + n - o = 6*n, 5*f = 4*n + 301. Is f a prime number? False Suppose 0*a - 710 = -2*a. Let u = a + -192. Is u prime? True Let h = -3 + 5. Suppose -h*v = 2*v. Let b = 4 + v. Is b a composite number? True Let j = 30 + 8. Is j a prime number? False Suppose z = -2*z - 5*b + 1530, -2*z + 3*b + 1039 = 0. Is z a composite number? True Let f(g) = -g + 4. Let r = 12 + -8. Let k be f(r). Suppose 2*q = -k*q + 62. Is q a composite number? False Suppose -94 = -3*u - 2*a, 5*u - 2*a - a - 144 = 0. Let r be u - (-1 - -1) - -1. Suppose 0 = 2*i + 4*d, -5*i = -3*d - 34 - r. Is i composite? True Suppose -s + 4*i = -83, 3*s - 3*i = 2*s + 84. Is s a prime number? False Suppose -5*z + 433 = k - 9*z, -3*k + 1283 = -4*z. Suppose 0 = 4*v - k - 171. Is v a prime number? True Let i(v) = 21*v**2 - 9*v - 23. Is i(-6) a composite number? False Let v(o) = o**2 - 9*o + 7. Let y be v(5). Let n = y + -5. Is -3 + -3 + (-2 - n) prime? False Let i = 9 - -17. Let f = 47 - i. Is f a prime number? False Suppose -c + 4*w = -21, 2*c - 4*w - 26 = -0*c. Suppose -5*z + 1 = -3*f
{ "pile_set_name": "DM Mathematics" }
r x. 0 Suppose -5*c - 2*a = -0*a - 166, -4*a - 52 = -2*c. Suppose -4*x + c = -32. Solve -2*p - x = -4*b, -3*p + 28 = 4*b + 12 for p. 0 Let b = -4 + 4. Suppose w - 2 + b = 0. Let u be (5/2 + -1)*w. Solve 7 = 4*g + 3, q = u*g - 8 for q. -5 Suppose 8*j - 3*j - 3 = -3*o, 0 = -j + 3*o - 3. Suppose i + 4*k - 11 = 0, -3*i - 4*k + 7 + 10 = j. Solve 4*t - i*r - 4 = -1, -t + 2*r = 3 for t. 3 Suppose -9*v + 13 = -50. Let j be -2 - (4/(-2) - 1). Solve 0 = -4*f - 2*a + v*a + 5, -a = 5*f + j for f. 0 Suppose 4*q = -2*y + 28, -20 = -2*y + 15*q - 17*q. Solve -x = -0*x + f + 3, 0 = -3*x + 2*f + y for x. 0 Suppose -3*d + 6 = -2*d. Let g = d + -3. Let k be (-21)/(-140)*-4*-10. Solve -k = 2*l + f, -g*f - 8 = -f for l. -1 Suppose 8 = -67*u + 75*u. Solve m + 5*h = 5, -2*m + 0*h + h - u = 0 for m. 0 Let x be 1*(-3)/(-7) + 11/7. Solve -x*k = -2*w - 6, 2*w - 10 = k - 3*k for k. 4 Suppose -2*o + 2*j = -44, 106 = o + 4*o - 3*j. Solve -o = 4*t - 0*u + 4*u, -20 = 5*u for t. -1 Suppose -2 = -o + 2*o. Let d be (-1 + 6)*(o - -3). Solve d*x - 2*r = 7, -4*x - 2*r = 10 - 30 for x. 3 Suppose 25 = -5*c + 10*c. Suppose 35 = 5*r - 5*b, -c*r + 2*r = 4*b. Suppose -r*l + 12 = i + l, -4*l = -4*i. Solve 3*x + 4*a + 4 = 1, -2*x - 2*a = i for x. -1 Let i be (-1)/1 - -2*2. Suppose 30 = m - 14. Let r = m - 42. Solve -r*z - t - 11 = 0, -1 = z - i*z + 3*t for z. -4 Let h(u) = 5*u - 1. Let f(t) = 2*t. Let o(s) = -14*f(s) + 6*h(s). Let r be o(3). Solve 5*a - 2*d + 20 = -r*a, 2*a - 4*d + 24 = 0 for a. -2 Let a = 12 + 7. Suppose 4*k + 7 = a. Let z be (-1 - 0) + 9/k. Solve z*p = -2*c + 8, -p + 14 = 3*c + 2 for p. 0 Let c be 20*4/16 + -5. Solve 2*s + 4 = 2*d, -3*s + 5*d - 2 = -c*d for s. -4 Let g(c) = c**2 - 14*c - 20. Let d be g(16). Let t = d - 9. Solve q = l + 2, -2*l - t*q - 23 = -4 for l. -5 Let c(p) = -p - 3. Let f be c(-4). Let o be 2 - ((-1 - 0) + f). Let u = -24 - -28. Solve 4*h - 12 = n, -10 = o*n + h - u for n. -4 Suppose 2*h = -3*h + 10. Let a(f) = f**3 + 9*f**2 - 10*f + 2. Let m be a(-10). Let d be (-4)/1 + 8 - m. Solve -h*v - 4*x - 4 = x, -d = v - 3*x for v. -2 Suppose 5*w - 4*y - 63 = 0, y + 0*y + 72 = 5*w. Solve -3*q - s - 13 = 0, q + 0*q + w = -3*s for q. -3 Let x(f) = 3*f - 9. Let u be x(13). Let d = -28 + u. Suppose -d*q + 5 = 2*z - 5, 5*z - 4*q - 7 = 0. Solve 0 = -y - 4*m - 2, -2*m + 2 = -y + z*m for y. -2 Suppose 6*v - 147 = -135. Solve v*r - 6 = -3*b, -r = 2*r + 9 for b. 4 Let c = 55 + -55. Solve -20 = 4*z, 0*q - 4*q - 5*z - 25 = c for q. 0 Suppose 40 = t - 5*m, -m - 78 = -3*t - 0*t. Let w = -25 + t. Solve -c - 4*l + 15 = -2*c, 3*c - 3*l + 18 = w for c. -3 Suppose 0 = -v + 4. Let i = -1437 + 1462. Solve -3*o = -4*y - 15 - 9, 3*y - v*o + i = 0 for y. -3 Let u = 506 + -485. Solve 0 = -5*j + 4*m + 27, 0*j + 4*j = 3*m + u for j. 3 Suppose 2*m - 4 - 2 = 0. Let j(z) = 2*z. Let k be j(1). Suppose 2*p - 3 - k = -5*n, -4 = 4*n. Solve 4*i - 4*o - 27 = 1, -p*i = -m*o - 27 for i. 3 Suppose -3*n + 87 = 66. Suppose -24 = 4*v - 7*v. Suppose -5*h = v - 33. Solve -y = x, n + h = 4*x for y. -3 Let a be 49/(-2) + 33/(-22). Let u be (-4)/(-26) - (-4)/a. Suppose u = -4*w + 7 + 9. Solve -6 + w = -4*v - 2*c, 3*v - 2*c + 16 = 0 for v. -2 Suppose 50 + 10 = -4*g. Suppose -4*h - 60 = -0*h. Let b = h - g. Solve c + 5 = b, i = -3*i - c - 5 for i. 0 Let f(p) = -p**2 + 10*p - 6. Let y be f(9). Suppose -d + 1 = -2*b, 5*b - y*d + 5 = 2. Solve -m + 5*o - 4 = b, 3*m + o - 6 = -2 for m. 1 Let f be (-108)/(-252) - (-330)/14. Solve -5*p = -2*n + 12, -n = 3*p + 2*n + f for p. -4 Suppose -126 = 7*i - 161. Solve -5*d = 2*k + 33, 45 = -7*k + 2*k - i*d for k. -4 Let w = 282 - 273. Solve -5*a - 2*r = 9, 4*a - w = 5*r - 36 for a. -3 Let v = 1546 - 1543. Solve -2*f + 20 = -v*r, -f + 5*f - 24 = 2*r for r. -4 Suppose -2*y + 1 + 3 = 0. Suppose -4*j = 2*m, -2*m + 5*j - 6 = -3*m. Let k be (-20)/25*10/m. Solve -2*q = y*b - b + 2, q - k*b = -6 for q. -2 Let m be (-1)/(3 - 30/9). Suppose i = -2, -3*w + m*i = 23 + 4. Let j(d) = d**2 + 10*d - 8. Let u be j(w). Solve -3*t + 3 - 11 = -4*g, u*t = -2*g + 4 for g. 2 Let u be 2/5 + 186/10. Let z = u + -23. Let b be (16/(-6))/z*6. Solve 4 = -2*a - b*y, 4*a + 0*a = -4*y - 8 for a. -2 Suppose d = -4*b - 2, -4*d + 3*b + b + 12 = 0. Solve -2*m = d*a - 18, -4*a - 1 + 2 = -3*m for m. 5 Let y be 372/42 + -2 - 2/(-14). Suppose -2*d = -0*d. Let b = 3 - d. Solve -4*o = 5*c - y, -b*o = -4*c - o + 16 for c. 3 Suppose 5*a - 20 = -2*d + 9, 0 = -3*d + 2*a + 34. Let v = -1 - -6. Suppose -v*o + 13 + d = 0. Solve 2*f = -7 + 1, o = 4*g + f for g. 2 Suppose 10*c + 4 = 12*c. Suppose -6 = 2*i - 2*u, -4*i - u - 36 = 3*u. Let l be 14/4 - i/12. Solve 0 = c*b, -3 = -w + 5*b - l*b for w. 3 Let u = 28 - 22. Suppose -4*b - 7 = -g - b, -4*g + 78 = -2*b. Let k = g - u. Solve -i = i + 6, 0 = f + 5*i + k for f. -1 Let a = -22 + 59. Suppose a - 9 = 4*p. Suppose 1 = 2*y - p. Solve 5*d + 25 = 5*o, 15 = -y*d + 2*o + o for d. 0 Let w(r) = r**3 + 9*r**2 + 3*r - 37. Let u be w(-8). Solve u*s - 6*s - 8 = 2*a, 4*a = 4*s + 4 for a. -1 Let d be (5 - -2)*(5 + -4). Solve -3*h - 3*k = -9, -4*h - h + d = 3*k for h. -1 Suppose -4*f - 3 = 5*h - 11, -8 = -4*f + 5*h. Solve -3*c + 4 = -f*y, -3 = 4*y - 19 for c. 4 Let k = 30 - 30. Suppose -2*l + g = 3*l - 101, -5*g - 5 = k. Solve -5*r + 5*x - l = 2*x, 5*r = -3*x + 10 for r. -1 Let t = -59 - -65. Let h = 6 + 0. Let j(v) = 2*v**2 - 10*v + 7. Let c be j(h). Solve c = -4*o + y, -o + 2*y - t = 3*y for o. -5 Let c = 86 + -75. Let l(m) = m**2 - 7*m + 5. Let v be l(7). Suppose 2*a - a = j, 5*j = -v*a + 40. Solve 5*t = 3*z, -a*z - 2*t - c = -5*t for z. -5 Let w(y) = -y**2 + 28. Let t(a) = a**2 + 2*a + 5. Let v be t(0). Let d be w(v). Solve 2*u - 2*r - 6 = 0, d = -4*r - 13 for u. -1 Let o = 12 - 17. Let y be (6/o)/(16/(-40)). Solve 18 = -4*v - 2*g, g + 21 = -3*v - y*g for v. -3 Let k = -19 - -28. Let d = 20 - k. Let i = 14 - d. Solve -2*w = -3*b + 13, w + i = 3*b - 5 for w. -5 Let h be 5 - (3 - ((-18)/(-3) - 4)). Solve -2*m = -0*k - 2*k - 18, 8 = -3*m - h*k for m. 4 Let l(r) = -r - 4. Let c be l(-8). Let g be 0 - (-5 + -3)/c. Solve -i - 4*i = 5*j - 25, 2*j = 2*i - g for i. 3 Suppose -2*r + 5*l - 20 = 0, -2*r = -0*r - 3*l + 20. Let z be ((-24)/20)/(4/r). Solve -2*q + 6 = i, -z*i - 12 = -4*i - 5*q for i. 2 Let c = 111 - 58. Let w = c - 53. Solve w = -2*t + 2*u - 2, u - 4*u + 1 = -4*t for t. 2 Suppose -3*n - 5*d + 20 = -17, 14 = n + 2*d. Solve -4*o + 9*o = 0, 0 = -n*p + o - 16 for p. -4 Let j(p) = -4*p + 193. Let c be j(47). Solve -4*q - c*f = -16, 4*q - 3*f - 2*f = -24 for q. -1 Let a be (-15)/2*12/(-30). Suppose -23 = -a*s + 7. Suppose 5*m - 25 + s = 0. Solve -2*z - 10 = -n + 4*n, -m*z - 15 = -n for n. 0 Let k = -235 - -238. Suppose 5*o + 5*s - 30 = 0, s - 9 = -4*o + 3. Solve -7 = k*q + o*f - 2, -2*f = q + 3 for q. -1 Let x(m) = -18 - 22*m**2 - 31*m**3 + 32*m**3 + 5*m**2 + 18*m. Let y be x(16). Let z = 22 - y. Solve -l + 5*v - 20 = -3*l, z = 3*l + 2*v for l. 0 Let h(i) = -i**3 - 5*i**2 + 6*i + 1. Let o = -19 - -13. Let a be h(o). Suppose -a = -d + 4. Solve 4*k + 0*k - 7 = -5*b, 2*k - d = -b for b. -1 Suppose 2*k + 7 = 3*z, -5*k + 12 = -2*z + 2. Solve -5*r = 15, k*g + r = 2*r - 9 for g. -3 Let x = 423 - 421. Solve 2*c - 4*n + 4 = 0, -n = x*c + 3*n + 12 for c. -4 Let l = -2286 + 2289. Solve 3*g - 5*c - 28 = 2*g, 0 = -5*g + l*c + 30 for g. 3 Suppose 31 - 16 = 5*j. Solve 6 = j*d + 3, -q - 4 = -2*d for q. -2 Let h(q) = -2*q - 10. Suppose x - 5*x = 0. Let p be h(x). Let o be (6/p)/(5/(-25)). Solve 3*l - u - 3 = 0, -l - o*u - 2*u = -1 for l. 1 Suppose 5*a = n - 15, n + 4*a - 17 + 20 = 0. Solve 0*c = -4*c - n*x - 17, 0 = -3*c - 4*x - 13 for c. -3 Suppose 15 = -3*b + b - 3*k, -k + 6 = -3*b. Let x be ((-9)/(-5))/b*-5. Suppose -x*w + 10 = 4. Solve -3*f - h - 1 + 7 = 0, 0 = -w*f - 5*h + 17 for f. 1 Suppose 13*l + 3*l = -4*l. Solve u + 3 = a + a, l = -u + 4*a - 11 for u. 5 Let c be 106/(-10) - 2/5. Let t be 6 + (-1 - (-1 - (-4 - -2))). Let m = t - c. Solve 22 = -4*u - 2*a, -m - 11 = 5*u + 2*a for u. -4 Let p be 9/(-18)*-15*(-8)/(-6). Solve 3*o - p = w, -4*o - 2*w - 3*w + 7 = 0 for o. 3 Let j = 0 + 3. Suppose 29*h = 49*h. Let z = -24 + 36. Solve i - 7*w + z = -2*w, h = j*i - w + 8 for i. -2 Let l = -1 + -20. Let m be (-27)/(5 + 3 + -7). Let h = l - m. Solve 2*b - 5*n + 36 = h, -3*b - 7 = 2*n for b. -5 Suppose 1
{ "pile_set_name": "DM Mathematics" }
3 - 14*u**2 - 14*u - 11. Let k be i(15). Let c(b) = 5*b - 6. What is the remainder when c(k) is divided by 6? 2 Suppose -4*p + 4 = l - 17, -6 = l - 5*p. Calculate the remainder when l is divided by -4 + ((-150)/(-15) - -1). 2 Suppose 0*f + 3*f = -l + 81, l = 0. Suppose -7*p + 1 = 1. Let t(s) = -2*s**2 + 6*s + 105. Calculate the remainder when t(p) is divided by f. 24 Let q be (130/(-39))/((-4)/6). Suppose -q*z - 91 - 6 = -4*d, -15 = 3*z. Calculate the remainder when 32 is divided by d. 14 Let k = -6 + 1. Let u(a) = 7*a - 7*a + 9*a - 12*a - 4. What is the remainder when u(k) is divided by 4? 3 Let u(j) = j + 63. Calculate the remainder when u(19) is divided by 28. 26 Let a = -2 + 4. Let j(h) be the first derivative of -h**4/4 + h**3/3 + 6*h + 16. What is the remainder when j(0) is divided by a? 0 Let y = 18 + 882. Calculate the remainder when y is divided by 22. 20 Suppose -2*h = 22 - 0. Suppose 57 + 295 = -11*w. Let o = h - w. Calculate the remainder when o is divided by 11. 10 Let w = 256 + -179. Calculate the remainder when w is divided by 55. 22 Let t(y) = -46*y + 465. What is the remainder when t(7) is divided by 81? 62 What is the remainder when 89 is divided by ((-6)/6)/((12/99)/(-4))? 23 Let h(f) = 4*f**2 + 2*f + 1. Let x be 4/(-20) + (-9)/5. What is the remainder when h(x) is divided by 3? 1 Let h = 108 - 117. What is the remainder when 8/6*5 + (-3)/h is divided by 6? 1 Suppose 28585 + 20395 = 62*h. What is the remainder when h is divided by 72? 70 What is the remainder when 1051 is divided by (68/7)/(70/245)? 31 Let v(r) = -62*r - 480. Calculate the remainder when v(-12) is divided by 17. 9 Let l be 2/6 + 89/3. Suppose -4*v - u = 95, 0 = -2*v - 8*u + 3*u - 43. Let z = v + l. What is the remainder when 23 is divided by z? 5 Suppose -3*c - 2*t + 335 = -0*t, -2*t + 444 = 4*c. Let q = -1334 - -1372. Calculate the remainder when c is divided by q. 33 Suppose 0 = -6*w + 17 - 83. Let p(q) = -q**3 - 10*q**2 + 5*q - 13. Calculate the remainder when p(w) is divided by 11. 9 Let u(f) = 2 + 10*f**2 - 17*f - 15*f**2 + 11*f. Let b be u(-3). Calculate the remainder when 3 + (4 - 6 - b) is divided by 15. 11 Calculate the remainder when (28/10)/((-12)/(-240)) is divided by 20. 16 Let p be -56 + (0 + 1)*1. Let w = p + 75. Calculate the remainder when w is divided by 6. 2 Let y(d) = -4*d - 2*d**2 + 2 - 7 + 5*d - 7*d**3. Let b be y(-3). Let a = -89 + b. Calculate the remainder when a is divided by 15. 14 Suppose 2*c - y = -3*c - 39, 3*y = -3*c - 27. What is the remainder when 63 is divided by (c/10)/(18/(-495))? 19 Calculate the remainder when (-6)/15*(-1333 + -22) is divided by 8. 6 Suppose 3*s = -2*y + 1823, -4*s = -y - 0*y + 917. Suppose 5*t + 228 - y = 0. What is the remainder when t is divided by 35? 32 Let r be 0 - (0/(-1) - -46). Let t = 73 + r. Calculate the remainder when 134 is divided by t. 26 Calculate the remainder when 210 is divided by 21/63 + 40/(-6)*-10. 9 Let q(i) = -9*i**2 - 4*i - 16*i**3 + 40*i**3 - 12*i**3 - 13*i**3 - 25. What is the remainder when q(-9) is divided by 7? 4 Suppose -4*a = 2*t - 984, 2*a + 15 = 25. What is the remainder when t is divided by 70? 62 Let c be (-7 + -3 + 2)/(3/(-81)). Suppose v = 3, -3*k = -3*v + v - 15. Calculate the remainder when c/10 + -2 + 2/5 is divided by k. 6 Suppose 5*o + 4*r - 12 = 2, -4*o + 4 = 5*r. Suppose 2*x = -4*z + 102, 5*z - 5*x - 81 = 3*z. Calculate the remainder when z is divided by o. 4 Let y(v) = 11*v - 9. Let j be -15*(21/(-9) - -2). Suppose -68 = -j*z + 2. What is the remainder when y(7) is divided by z? 12 Let v(w) = 13*w + 77. What is the remainder when v(7) is divided by 17? 15 Let l(o) = 3*o - 5*o + 7*o**2 + 6*o**2 - 5*o. What is the remainder when l(2) is divided by (-82)/(-8) - 2/8? 8 Let y(a) = a**3 + 6*a**2 + 5*a + 3. Suppose 7*b - 6*b = -2. Let i be 10/(-6)*(b + 5). Calculate the remainder when y(i) is divided by 1. 0 Let l = -4 + -49. Let j = l - -119. What is the remainder when j is divided by 17? 15 Let o = -5 + 9. Suppose 0 = 3*u + 5*w - w - o, -2*u - w = 4. What is the remainder when (-2 - 32)*2/u is divided by 9? 8 Suppose -5*f = -2*a - 15, -4*f - 40 = 2*a - a. Let r = a + 33. Calculate the remainder when r is divided by 3. 1 Suppose 5*l - 32 = 18. Let u = 998 - 879. What is the remainder when u is divided by l? 9 Suppose 18*q - 13*q + 5*h = 2955, -6 = 3*h. Calculate the remainder when q is divided by 26. 21 Suppose -15 = -0*n - 5*n. Suppose -n*k - 521 = -5*t, -2*t = -6*k + 3*k - 203. Calculate the remainder when t is divided by 27. 25 Suppose 3*l + 0*l - 264 = 0. What is the remainder when l is divided by (-30*12/(-168))/((-2)/(-42))? 43 Let f(r) = r**3 - 23*r**2 + 59*r + 36. Let o be f(20). Suppose 173*m - 175*m = -o. What is the remainder when (1/(-2))/((-1)/28) is divided by m? 6 Suppose -4*l + 142 = -90. What is the remainder when (-2)/(-1) + (l - (0 - 2)) is divided by 13? 10 Let x = 470 + -448. Calculate the remainder when 105 is divided by x. 17 Let x = 48 + -34. Let n(o) = -7*o + 5. Suppose -2*r - 2*h - 18 = 0, 3*r = r - 4*h - 26. Calculate the remainder when n(r) is divided by x. 12 Let n = 19 - 19. Suppose -6*a + 9*a - 39 = n. Suppose -4*p + 198 = 5*d + 25, -10 = -2*d. Calculate the remainder when p is divided by a. 11 Let q = -144 - -234. Let h(g) = g**2 + 6*g + 4. Let b be h(-6). Suppose 9*w = 4*w + 15, b*n - q = -2*w. Calculate the remainder when n is divided by 12. 9 Suppose 3*p = -2*g + 128, -g = 9*p - 4*p - 211. Suppose -4*i - 3*d = -p, d - 2*d - 2 = 0. What is the remainder when (-44)/(2 + (-2 - 1)) is divided by i? 8 Let s = -223 - -234. Suppose -590 = -5*r - 2*o, 3*r - 208 = 4*o + 146. Calculate the remainder when r is divided by s. 8 Let c = -174 - -184. What is the remainder when 39 is divided by c? 9 Suppose 0 = 3*u + 9 - 21, -3*u = -5*m + 523. What is the remainder when m is divided by (-22)/4*(-9 + -1)? 52 Suppose -5*y + 145 = 4*n - 5*n, -2*y + 85 = 5*n. Calculate the remainder when 234 is divided by y. 24 Let z = -21 + -180. What is the remainder when (3 + 4/(-2))/((-3)/z) is divided by 35? 32 Suppose -4*r = p - 11, -p - 2*r - 3 = -5*r. Let v be 9 + -5 + -7 + p. Suppose v = -16*u + 17*u - 47. Calculate the remainder when u is divided by 10. 7 Suppose 4*z = k + 18 - 40, 4*k + 3*z - 107 = 0. What is the remainder when 196 is divided by k? 14 Suppose -3*t + 3*i = -3, 4 = 4*t + 4*i - 16. Suppose 2*o + 55 = u, -t*o = 2*o. What is the remainder when u is divided by 14? 13 Suppose 4*s + 4*b - 1848 = 0, 9*s - 7*s - b = 915. What is the remainder when s is divided by 119? 102 Suppose 5*t - 2 = 6*t. Calculate the remainder when 206 is divided by 9 - 1 - (-3 + t). 11 Suppose 0 = -5*d + 3*q + 1325, 0 = 5*d + q - 1418 + 73. Calculate the remainder when d is divided by 34. 30 Let k(d) = d - 2. Let f be k(7). Let g = 17 - f. Suppose -4*s + 32 = 3*l - 4, 3*l - g = 0. Calculate the remainder when 8 is divided by s. 2 Suppose 3*v - 20 = -4*q, -4*q + 36 = -2*q - 5*v. Let y(b) = 47*b - 72. What is the remainder when y(2) is divided by q? 6 Suppose -25 = -2*o + o - 3*s, -2*s - 74 = -5*o. Suppose 3*l = 5*h - 106, -3*h + 5*l + 54 = -o. What is the remainder when (-395)/h*(-8)/2 is divided by 20? 19 Suppose 5*h + 5*q - 230 - 85 = 0, -4*h = -5*q - 270. What is the remainder when h is divided by 11? 10 Calculate the remainder when (-3 - 12)/(4/(-36)) is divided by 126. 9 Let r(v) = v**2 + 15*v + 18. Let z be r(-15). What is the remainder when 50 is divided by -3 + (z + 2 - 2)? 5 Suppose 5*h = -10*h + 765. What is the remainder when h is divided by 30? 21 Let f(c) = 2*c**2 + 8*c + 4. Suppose -n + 0*n = 3. Let o be 98/(-16) - n/24. Calculate the remainder when f(o) is divided by 15. 13 Suppose 23 + 33 = -7*r. What is the remainder when 6/r - (-324)/48 is divided by 4? 2 Suppose h - 5*v + 15 = 0, -2*v + 6 = -2*h - 0. What is the remainder when (-98)/21*(-30)/4 is divided by h/(3/(-3)) - -12? 11 Suppose 4*a - 19 = 1. Suppose 18 = 3*g + 2*v, 4 = g + a*v - 2. Calculate the remainder when 8 is divided by g. 2 Let u(t) = -6*t + 188. What is the remainder when 158 is divided by u(26)? 30 Suppose -5*u - a = -323, 3*a - 22 = -13. Calculate the remainder when u is divided by 19. 7 Let u(x) = -7*x + 11*x**2 - 6*x - 7*x**3 - 7*x**3 + 15*x**3 - 8. Let a be u(-12). What is the re
{ "pile_set_name": "DM Mathematics" }
ng order. s, u, -5 Let q = 2 - 1. Put -1, q, -3 in increasing order. -3, -1, q Let i = -0.29 - -0.09. Let v = 5.2 + -0.2. Put i, v, -2/7 in increasing order. -2/7, i, v Let g = 0.2 - 0.2. Let h = -2 + g. Let t = -1.7 + 2. Put -1/2, h, t in increasing order. h, -1/2, t Let g be (-9)/3*(0 + 1). Suppose h = -3*a + 18, -2*a = -2*h + 28 - 0. Let m be 1/g + 50/h. Put 1, m, -2 in ascending order. -2, 1, m Suppose 0 = a - 0*j + 5*j - 32, -j - 20 = -2*a. Let l = 17 - a. Put 4, l, -4 in descending order. l, 4, -4 Let a = -30 + 19. Let y = a + 7. Let x = -598/735 + 2/147. Sort 0.2, x, y in decreasing order. 0.2, x, y Let a(f) = 2*f + 1. Let t be a(-4). Let m = 12 + t. Let l = 3 + 0. Put m, -4, l in ascending order. -4, l, m Let t(m) = 2*m**2 - 9*m + 10. Let i(g) = -3*g**2 + 17*g - 19. Let f(p) = -3*i(p) - 5*t(p). Let n be f(-7). Sort n, -4, 1 in increasing order. -4, n, 1 Let r = 1.8 + 0.2. Let b = 2 - r. Let a = -12.5 - -12. Sort 3, b, a. a, b, 3 Let m be 4/14 - (-6)/(-14). Let b = 5.3 - 4.8. Let f be (1/10)/(2/5). Sort f, m, b in increasing order. m, f, b Let c = -54.9 - -48. Let k = c + 7. Sort k, 12, 0.4 in descending order. 12, 0.4, k Let z = 3.98 + 0.02. Sort -2/11, -3/7, z. -3/7, -2/11, z Let c(n) = -2*n - 1. Let s be c(-3). Suppose 3*z - 2 = -s. Sort -5, z, 4 in decreasing order. 4, z, -5 Let c = -2.944 + 0.044. Let i = -0.1 + c. Let u = -4 + 3. Sort i, u, 0 in increasing order. i, u, 0 Suppose 6 = -4*o - 0*o + 3*k, 6 = 2*o + 3*k. Sort 2, o, -10. -10, o, 2 Suppose 0 = 2*d + 3 + 3. Let f be (-4)/((d - -2)*2). Let l = 1 + 2. Put 1/5, l, f in increasing order. 1/5, f, l Let n be (-3)/10*-2*5. Let u(l) = l**3 - 4*l**2 + 4. Let h = 3 - 0. Let b be u(h). Put b, n, -4 in decreasing order. n, -4, b Let b be 8/(-5) + (-2)/5. Let d be (-115)/35 - b/7. Sort d, 3, 0. d, 0, 3 Let p = 0.2 + -22.2. Let d = -24 - p. Sort d, -3/2, 0.4 in increasing order. d, -3/2, 0.4 Suppose 3*o - 103 = -4*c - 2*o, 2*c - 3*o - 79 = 0. Suppose 2*p + 10 = -0*p, -4*p - c = 4*n. Let j be (-1)/n - (-10)/(-18). Sort 0.5, j, -4. -4, j, 0.5 Let h(c) = -c**2 - 13*c + 10. Let v be h(-14). Let i = 4 - 1. Put i, v, -3 in decreasing order. i, -3, v Suppose -2 = h + 4*c, -3 = -4*h + 3*h + c. Suppose -2*m = -0*m - 4*q + 20, 5*m + q = -6. Put m, 5, h in descending order. 5, h, m Suppose 0*i = 3*i - 15. Suppose -3*y - i + 17 = 0. Sort -4, 5, y in decreasing order. 5, y, -4 Let u be (-1)/(58/(-30) - -2). Let d be (2 - 4)/((-50)/u). Sort -2/17, d, 2 in ascending order. d, -2/17, 2 Let z = 2 + -4. Let u(j) = -j**2 - 12*j - 7. Let v be u(-10). Let p = v + -10. Sort 2, p, z in increasing order. z, 2, p Let o = 3.176 - 0.176. Put 15, -0.5, o in descending order. 15, o, -0.5 Let o(i) = -4*i**2 - 3*i - 1. Let l be o(-1). Sort l, -5, 3, -1 in decreasing order. 3, -1, l, -5 Let w = 0.05 - 0. Let t = -29 + 30. Put w, -0.2, t in descending order. t, w, -0.2 Let k = -4.98 + -0.02. Let a = 909/3604 + -2/901. Put 0, a, k in decreasing order. a, 0, k Let u(s) = 15*s + 3. Let l be u(0). Let j = 4 - -1. Sort -3, l, j. -3, l, j Let h(y) = -6*y - 7. Let g be h(-2). Put 1, -3, g in increasing order. -3, 1, g Let g = -1 + -1. Let j = -2.1 - g. Sort j, -2/3, 1/4 in decreasing order. 1/4, j, -2/3 Let c = -26 - -27. Put -1, c, 3, 4 in decreasing order. 4, 3, c, -1 Let d = 5 + -3. Let g = 0.13 - 0.12. Let x = 0.11 - g. Put -3, d, x in descending order. d, x, -3 Let r be -1 + (3 + 1)*-2. Sort -1, r, 5, 2 in ascending order. r, -1, 2, 5 Let n be (-16)/40 + 2/5. Suppose 0 = 3*s - 2*f - 14, 4*s - 5*f + n*f = 21. Sort -5, -2, s. -5, -2, s Let t(r) = -r**2 - 8*r - 5. Let n be t(-6). Let q be (21/6)/n*6. Let j = -8 - -12. Sort -5, j, q in decreasing order. j, q, -5 Let j = -20 - -21. Sort -3, -4, j in decreasing order. j, -3, -4 Let d = 2 + -3. Let s be -2 - 3*-1 - -5. Sort 5, s, d in increasing order. d, 5, s Let n = -4.5 + 4. Let i be ((-4)/(-10))/((-5)/25). Sort 1, i, n. i, n, 1 Let d be 8/(-12) - 38/(-48). Let r = d - 3/8. Put r, 2/5, -0.5 in descending order. 2/5, r, -0.5 Suppose -u = 2*t - 8, 0 = 5*t - 5*u - 6 + 16. Suppose 0 = t*j - 0*j + 2. Put -5, 1, j in decreasing order. 1, j, -5 Let v = 2.2 + 1.8. Sort -2/7, v, 5. -2/7, v, 5 Let k(f) = -2*f**2 + 4*f. Let b be k(2). Sort 0.1, 0.03, b. b, 0.03, 0.1 Let q be ((-28)/(-6))/(-2) - 123/(-41). Let b be -1 + (-2)/(-10)*6. Sort 3/7, q, b in descending order. q, 3/7, b Let g be 2*-1*(-70)/4. Suppose -3*q + 5*l + 55 = 3*l, -3*q - 2*l = -g. Suppose 0*c = 3*c - q. Sort c, -3, 0 in decreasing order. c, 0, -3 Let l = -77 + 71. Put 0, -1/2, l, 1/6 in ascending order. l, -1/2, 0, 1/6 Let o be (1 - (-8)/(-6))*-3. Sort 5, 0.5, o in decreasing order. 5, o, 0.5 Let a = -34.7 + 35. Sort 0.03, 2/11, a in descending order. a, 2/11, 0.03 Suppose -4*y - r + 2 = 0, 3*y + 0*r + 2*r = 4. Let z(x) = 3*x**2 + 1 + 5 - 4*x**2 + 7*x. Let w be z(7). Sort 2, y, w. y, 2, w Suppose 2 = b + 4. Let u be 4*(-2)/8*-5. Sort u, b, 0 in decreasing order. u, 0, b Let l = 0.4 - 0.4. Let p be ((-9)/(-138))/((-2)/(-4)). Let f = p - 55/69. Put l, f, 2 in decreasing order. 2, l, f Suppose 0 = r - w + 4, 3*r + 5*w + 5 = w. Sort r, 4, -1 in decreasing order. 4, -1, r Let s(p) = -11*p - 110. Let g be s(-10). Sort -3, -35, g in ascending order. -35, -3, g Let r(m) = 24*m - 3. Let j be r(-3). Let p be ((-523)/(-21))/((-2)/6). Let a = p - j. Sort -3, -0.2, a in ascending order. -3, -0.2, a Let r = 0.2 - 0.2. Let a be (8/(-6) - -1)*(-72)/(-120). Sort r, 1/2, a. a, r, 1/2 Suppose 16 = 3*b + 5*r, -4*r + r + 16 = 5*b. Sort -1, b, 3 in descending order. 3, b, -1 Let x = 33 + -55. Let v be -2 + (-26)/x - -1. Sort -0.5, -1, v in ascending order. -1, -0.5, v Let h = 10988/3 - 3723. Suppose 4*q - 260 = -m + 5*m, -2*m = -5*q + 313. Let g = h + q. Put g, 0.5, 4/5 in decreasing order. 4/5, g, 0.5 Let f = -27.3 + 27. Let c be (-3 - -4) + 30/(-8). Let l = 13/4 + c. Sort -0.5, f, l in descending order. l, f, -0.5 Let t(v) = -v**3 - 13*v**2 + 31*v + 18. Let j be t(-15). Let r = -5 + -3. Let c(b) = -b**3 - 8*b**2 + b + 3. Let i be c(r). Sort j, -1, i in decreasing order. j, -1, i Let g = -0.38 + 0.78. Sort 4, -4, 3/2, g in increasing order. -4, g, 3/2, 4 Let x(o) = o - 14. Suppose 0 = -4*q - 0*q + 44. Let f be x(q). Let z = 2 - -2. Sort z, -4, f in decreasing order. z, f, -4 Suppose f - 3*f - 4*u = 8, -4*f = -5*u - 36. Let r = 3 - f. Sort r, 0, -2. -2, r, 0 Let l = -12.5 - -12. Put 3, l, -4 in decreasing order. 3, l, -4 Suppose 2*s - 10 = -0*s. Let v = -4 + 2. Sort s, v, 1 in decreasing order. s, 1, v Suppose -4*q = 2*p - 0*q + 6, -q + 3 = -p. Let u(d) = -2*d**3 - 4*d**2 + d + 3*d**2 + 3*d**2. Let w be u(-1). Sort p, w, -4 in decreasing order. w, p, -4 Let l(q) = q**3 + 26*q**2 - 27*q + 4. Let p be l(-27). Sort 48, -4, p in ascending order. -4, p, 48 Let d(m) = m**3 + 3*m**2 - 2*m - 3. Let g be d(-2). Sort -1, g, -19. -19, -1, g Let o(r) = -r**2 + 4*r - 7. Let i be o(3). Sort i, 2, 0 in decreasing order. 2, 0, i Let b = 0.175 - -0.025. Put b, 0.3, 1/2 in decreasing order. 1/2, 0.3, b Suppose -c - 36 = -4*c. Suppose c + 3 = 3*d. Let b be 0*(2/(-4) - -1). Put b, d, -2 in increasing order. -2, b, d Let o(i) = i**3 - 8*i**2 - 9*i - 4. Let f be o(9). Let t = -7 - f. Put 4, t, 3 in decreasing order. 4, 3, t Let g be (-2)/6 - (-26)/6. Suppose 6*o = -0*o - 30. Sort g, o, 3 in descending order. g, 3, o Let s(g) = g**3 - 20*g**2 - 23*g + 48. Let l be s(21). Sort 1, -2, l, -4 in decreasing order. l, 1, -2, -4 Suppose 0 = 4*g + 3*k + 2 - 12, 0 = -5*g - 2*k + 9. Sort -4, 5, g, -2 in ascending order. -4, -2, g, 5 Let f = -3 - -4. Let x be 7 + -5 + (-1328)/18. Let t = -72 - x. Sort f, t, -0.3 in ascending order. -0.3, t, f Let l be ((-1)/(-5))/((-6)/5). Let d = -1172/13 + 90. Let m be 0 - -1 - 6/8. Sort m, l, d in increasing order. l, d, m Let m be 5/2*(-6)/(-5). Suppose m*u - 4 = 23. Suppose -u = -0*y + 3*y. Sort 2, -5, y in decreasing order. 2, y, -5 Suppose -3*n - 30 = -27. Sort 5, -0.5, n. n, -0.5, 5 Suppose -16 = -4*u + 2*v, v + 4*v + 10 = 0. Suppose -u*a - 6 = -a. Put a, 5, -4 in increasing order. -4, a, 5 Let n = -35 - -53. Let i = n + -17. Sort 2, i, -2 in decreasing order. 2, i, -2 Let f be (-3)/(-4 + 7) + 2. Put -4, f, 38 in decreasing order. 38, f, -4 Let t(d) = d**2 + 2*d. Let m = -4 - -2. Let q be t(m). Sort -0.5, q, -3. -3, -0.5, q Let
{ "pile_set_name": "DM Mathematics" }
l(-3). Let o(n) = -6*n**2 + 5*n - 2. Give u*o(t) + 3*x(t). -3*t**2 + 2*t + 1 Suppose -27*b = n - 28*b + 18, -12 = 3*n + 4*b. Let u(s) = -s. Let z(d) be the third derivative of -d**4/4 - d**2. Determine n*u(i) + z(i). 6*i Let p(t) = t - 9. Let m(r) = 8. Give -2*m(f) - 3*p(f). -3*f + 11 Let d(h) = -6*h**2 + 30*h - 6. Let s(i) = i**2 + 1. Determine -d(v) - 4*s(v). 2*v**2 - 30*v + 2 Let c(x) = 47*x**2 - 9*x - 4. Let s(h) = 23*h**2 - 4*h - 2. Calculate 6*c(j) - 13*s(j). -17*j**2 - 2*j + 2 Let s(z) = 3*z**3 + 2*z**2 - z. Let t(n) = -7*n**2 + 4*n - 10*n**3 + 3*n - 17*n - 6*n + 20*n. Suppose 0 = v - 4*v + 6. Calculate v*t(x) + 7*s(x). x**3 + x Let r(s) = -1. Let z(n) = -n + 5. Let f(h) = 16*h - 28. Let w(a) = -f(a) - 5*z(a). What is 3*r(k) + w(k)? -11*k Let q(v) = -1. Let r(h) = -h**2 + 24*h + 51. Let b be r(26). Let i(z) = -8*z**2 - 6. What is b*i(o) + 6*q(o)? 8*o**2 Let b(p) be the second derivative of -p**4/3 + 7*p**3/6 - 5*p**2/2 + 93*p. Let x be -3 + 4/(-4) + 0. Let l(o) = 2*o**2 - 4*o + 3. Determine x*b(v) - 7*l(v). 2*v**2 - 1 Let b(g) = -3*g**3 + 6*g**2 + 6*g. Let p(v) = v**3 - v**2 - v. Let n = 263 + -262. Let h(l) = -3*l - 6. Let u be h(-4). Calculate n*b(f) + u*p(f). 3*f**3 Let j(r) = -r - 1. Let a(k) = -8*k - 4. Suppose 0 = 67*g - 69*g + 10. Determine g*j(u) - a(u). 3*u - 1 Let r(w) = 2*w + 136. Let g(v) = -10*v - 684. Determine -3*g(s) - 14*r(s). 2*s + 148 Let p(o) = 4*o. Let q be (3 - 0)*-1*2. Let i(v) = -11745 - 7*v + 11745. Determine q*i(z) - 11*p(z). -2*z Let u(m) = -3*m - 3. Let h = -4 + 11. Let n = 122 - 124. Let b(o) = -9*o - 10. Give h*u(z) + n*b(z). -3*z - 1 Let p(s) = 7*s**2 + 0*s**2 - 2 - 2. Let a = -1 - 5. Let g(y) = 11 + 264*y**2 - 7 - 265*y**2 - 3. What is a*g(n) - p(n)? -n**2 - 2 Let q(u) = -u + 1. Let l(o) = 9*o - 9. Let m(c) = -8*c + 8. Let x(z) = -4*l(z) - 5*m(z). Calculate 5*q(j) + x(j). -j + 1 Let j(d) = 31*d**2 + 7 - 1 - 4*d - 36*d**2 - 2*d. Let y(h) = -h**2 - h + 1. Calculate -j(p) + 6*y(p). -p**2 Let x(f) be the first derivative of f**2/2 - f - 16. Let v(c) be the first derivative of -21*c**2/2 + 18*c + 15. Determine v(n) + 18*x(n). -3*n Let y(x) = -10*x**3 + 2*x**2 + 8. Let f(i) = -i**3 - i**2 - i - 2. What is 3*f(r) + y(r)? -13*r**3 - r**2 - 3*r + 2 Let p(y) = -y**2 - y - 1. Let v(a) = 12*a**2 + 9*a + 20. Let o(x) = -2*x**2 - x - 4. Let t(d) = 4*o(d) + v(d). Determine -5*p(k) - t(k). k**2 + 1 Let l(w) = -w**3 + 2*w**2 + 2*w + 4. Let o = -226 + 229. Let r(i) = 2*i**3 - 3*i**2 - 3*i - 4. Give o*l(a) + 2*r(a). a**3 + 4 Let h(k) be the second derivative of -35*k**3/3 + 30*k**2 + 4*k - 8. Let c(s) = s - 1. Calculate 60*c(v) + h(v). -10*v Let a(m) = -m**3 + 34*m**2 + m - 36. Let y be a(34). Let l(s) = -s**3 - 2*s - 2. Let f(k) = -k**3 - k**2 - 1. Calculate y*f(z) + l(z). z**3 + 2*z**2 - 2*z Let v(b) = -10*b**3 + 2*b**2 - 2*b - 2. Let u(x) = 129*x**3 - 27*x**2 + 27*x + 27. Let g be 33/(-3) + 112 + -47. What is g*v(h) + 4*u(h)? -24*h**3 Let r(i) = 38*i - 3. Let q(g) = -g. Calculate -3*q(b) + r(b). 41*b - 3 Let o(l) = l**3 - l - 1. Let i(j) = -j + 9. Let f be i(7). Let k(g) = -21*g + 9*g + 16*g - f*g**3 + 4. What is k(p) + 4*o(p)? 2*p**3 Let y(z) = z**2 + 6*z - 4. Let w(t) = 7*t + t**2 - 3*t**2 + 3*t**2 - 5. Let b be (-13 - 300/(-24))*-6. What is b*w(p) - 4*y(p)? -p**2 - 3*p + 1 Let j(n) = 4*n**3 - 2*n - 2. Suppose u - 8 = -2*f, -11*f = -2*u - 14*f + 13. Let a(y) = -5*y**3 + 3*y + 3. Determine u*a(d) + 3*j(d). 2*d**3 Let p(b) = 0 - 12 + b + 7 + 3. Let w(q) = 6*q - 11. Determine -22*p(v) + 4*w(v). 2*v Let f(z) = 9*z**3 - 10. Let l(g) = 4*g**3 - 5. Let i be (80/60)/(2/(-9)). Determine i*f(s) + 13*l(s). -2*s**3 - 5 Let x(z) = 41*z + 16. Let q(s) = 8*s + 3. Let v = 0 - 11. Give v*q(d) + 2*x(d). -6*d - 1 Let c(s) = -2*s**3 - 5*s**2 + 4*s - 11. Let r(n) be the second derivative of n**5/20 + n**4/6 - n**3/3 + 5*n**2/2 - n. Determine -2*c(h) - 5*r(h). -h**3 + 2*h - 3 Let t(u) = 3*u - 20. Let j(m) = m - 8. Let l(d) = -5*j(d) + 2*t(d). Suppose -x = 4*x + 25. Let k be ((-4)/x)/(4/10). Let w(g) = -5*g + 1. Give k*w(n) + 9*l(n). -n + 2 Let a(h) be the second derivative of -2/3*h**3 + 0 + 2*h + 3*h**2. Let s(l) = -5*l + 7. Let p(n) = n**3 - 6*n**2 + n + 14. Let r be p(5). Give r*s(y) + 7*a(y). 2*y Let p(c) = -6*c + 10. Let z(i) = -17*i + 5. Let k be ((-3)/(-4))/(2/8). Let g(t) = 2*t + 0*t - k + 6*t. Let n(m) = 9*g(m) + 4*z(m). Calculate 7*n(f) + 5*p(f). -2*f + 1 Let b(o) = 7*o**2 + 11. Let i(z) = -3*z**2 - 5. Let p = 34 + -7. Let n be (6/2)/(p/18). Calculate n*b(w) + 5*i(w). -w**2 - 3 Let n = -69 + 72. Let k(d) = -3 + 0 + 2*d + n*d. Let l(x) = -4*x + 2. Calculate 4*k(c) + 6*l(c). -4*c Let k(b) = b**2 - b + 3. Suppose -4*d - 16 = -3*c, -278*c = -276*c + 2*d - 6. Let l(x) = x**2 - x + 4. Calculate c*k(t) - 3*l(t). t**2 - t Let v(k) = k**2 - 1. Suppose 0 = 27*i - 30*i + 12. Let w(p) = 2*p**2 + 2. Calculate i*v(z) + 2*w(z). 8*z**2 Suppose 24 = 940*r - 936*r. Let w(b) = -4*b**2 + 4*b. Let o(q) = -4*q**2 + 3*q. Determine r*w(h) - 8*o(h). 8*h**2 Let b(t) = 3*t**3 + t**2. Let q(h) = 19*h**3 - 7*h**2. What is 4*b(v) + q(v)? 31*v**3 - 3*v**2 Let y(t) = 139*t**2 + 5*t. Let v(u) = -u**2 - u. What is 10*v(n) + 2*y(n)? 268*n**2 Let t(q) = -3*q + 1. Let m(z) = -1166*z + 371. Calculate -3*m(i) + 1113*t(i). 159*i Let x(p) = -p. Let r(j) = 3*j. Let m(f) be the third derivative of f**6/60 + f**5/60 + f**4/24 - f**3/3 - 7*f**2. Let v be m(1). Determine v*r(c) + 5*x(c). c Let u(z) = 179*z + 4. Let o(w) = w + 3. Give -2*o(n) + u(n). 177*n - 2 Let d(g) be the first derivative of 5*g**4/2 - 8*g**2 + 16*g + 22. Let f(r) = -5*r + 2*r**3 - 3*r + 3 + 0*r + 5*r. What is 3*d(p) - 16*f(p)? -2*p**3 Let u(f) = 4*f. Let w(o) = o - 1. Let k(a) = u(a) + 3*w(a). Let d(c) = 8*c - 4. Let v(y) = -5*d(y) + 6*k(y). Let i(z) = 3 - 2 + 4 + 6*z. Give -3*i(p) + 8*v(p). -2*p + 1 Let t(u) = -232*u**3 - 11*u**2 + 33*u - 30. Let m(k) = -115*k**3 - 6*k**2 + 18*k - 16. Calculate 11*m(d) - 6*t(d). 127*d**3 + 4 Let f(u) = -9*u**3 + 5*u. Let t(a) = 18*a**3 - 9*a. Suppose -153 = -24*o + 63. Give o*f(n) + 5*t(n). 9*n**3 Let u(b) = -940*b**3 - 3*b**2 + 6. Let v(m) = 1878*m**3 + 5*m**2 - 10. Calculate 5*u(l) + 3*v(l). 934*l**3 Let f(c) = -9*c - 9. Let i(t) = 1. Let g(y) = 16*y - 137. Let z be g(8). Give z*i(j) - f(j). 9*j Let p(m) = -m**2 - 6*m + 7. Let f(y) = -y + 1. Let l = -28 + 33. Suppose -4*n - 8 = -h + l*h, 5*n - 4*h = 17. Determine n*p(z) - 6*f(z). -z**2 + 1 Let a(j) = -1. Let z(u) = u**2 - 1. Let t = -4 + 9. Suppose 0 = -2*i - i + o - t, -5*o + 8 = 2*i. Give i*a(f) + z(f). f**2 Let i(m) = -61*m + 2. Let j(u) = -304*u + 10. Give 16*i(o) - 3*j(o). -64*o + 2 Let r(c) = 249*c**3 - 5*c**2 - 5. Let o(b) = 124*b**3 - 3*b**2 - 3. Give -5*o(v) + 3*r(v). 127*v**3 Let s(i) = -177*i**2 + 54*i - 54. Let q(m) = m**2 - 2*m + 2. What is 54*q(t) + 2*s(t)? -300*t**2 Let t(q) = q. Suppose 0 = -i - 23*m + 18*m - 26, 4*m = -3*i - 23. Let u(p) be the first derivative of -2*p**2 + 3*p - 1. What is i*u(r) - 3*t(r)? r - 3 Let d(v) = -17*v**3 - 18*v**2 - 28*v + 17. Let k(r) = -8*r**3 - 8*r**2 - 13*r + 8. Give -6*d(h) + 13*k(h). -2*h**3 + 4*h**2 - h + 2 Let r(w) = -233809*w**3 + 4122*w. Let l(g) = 227*g**3 - 4*g. Determine 2061*l(n) + 2*r(n). 229*n**3 Let r(h) = -h**3 - 1. Let a(p) = -10*p**3 + 6*p**2 - 5. Let m(o) = 8*o**3 - 4*o**2 + 5. Let s(f) = -2*a(f) - 3*m(f). Calculate 10*r(i) - 2*s(i). -2*i**3 Let c = -27 + 30. Let s(v) = 1 - 2*v**2 + 6*v**2 + 3*v**c - 1 - 2. Let r(o) = -7*o**3 - 9*o**2 + 5. Calculate 2*r(p) + 5*s(p). p**3 + 2*p**2 Let q(c) = 187*c**2 + 3*c. Let m(b) = 376*b**2 + 7*b. Calculate 3*m(y) - 7*q(y). -181*y**2 Let a(k) = 4*k + 1. Let f = -31 - -62. Let w(h) = 1 - 4 - f*h + 22*h. Let b(q) = -q**2 + 9*q - 10. Let i be b(8). Determine i*w(j) - 5*a(j). -2*j + 1 Let k(b) be the first derivative of -b**2/2 - b - 60. Let j(z) = -z - 3. What is -2*j(a) + 4*k(a)? -2*a + 2 Let w(p) = 218*p**2 + 4*p - 9. Let k(r) = -107*r**2 - 2*r + 4. Give -13*k(y) - 6*w(y). 83*y**2 + 2*y + 2 Let w(g) be the second derivative of -g**4/12 + g**3/3 + 2*g**2 - g + 437. Let s(a) = -a**2 + 1. What is s(i) + w(i)? -2*i**2 + 2*i + 5 Let f(u) = 6*u**2 + 5*u + 5. Let y(g) = -18*g**2 - 14*g - 14. What is -11*f(i) - 4*y(i)? 6*i**2 + i + 1 Let x(p) = -p**3 + p**2 - p - 1. Let n(i) = -4*i**3 + 2*i + 7. Determine n(d) + 2*x(d).
{ "pile_set_name": "DM Mathematics" }
the second smallest value? (a) -3 (b) -6/109 (c) 59 b Which is the second smallest value? (a) -2/35 (b) -0.5 (c) 1 (d) -2 (e) 10/9 b What is the fifth smallest value in -877, -5, -0.18, -3, -0.6? -0.18 Which is the biggest value? (a) 0.309 (b) -0.4 (c) 0.16 (d) 4/5 d What is the fourth biggest value in -4.3, 0, -1.09, 4, -0.5? -1.09 What is the second smallest value in 5, 37/2, 4, -4/5, 4/31? 4/31 What is the fourth biggest value in -1/11, -3, 4, 2/61, 135, 2? 2/61 Which is the second biggest value? (a) -5 (b) -2 (c) 29 (d) 0.4 (e) -19 (f) 0.04 d What is the fifth biggest value in 3/2, 0.4, -1/4, 0, -779, 5? -1/4 Which is the smallest value? (a) 0.206 (b) 30/11 (c) 1 (d) -1/2 (e) -0.4 d What is the sixth smallest value in 0.4, -0.3, 88, -5, -3/4, -7/3? 88 Which is the second smallest value? (a) -265 (b) -7 (c) 18 (d) 0.1 (e) -3 (f) 2 b What is the fourth biggest value in -3/5, -5, 1/8, -254, -1, -0.03? -1 What is the biggest value in -349, -2, 0.03, -59? 0.03 Which is the fifth biggest value? (a) -3 (b) 18/61 (c) -1 (d) -2 (e) 5 (f) -0.5 d What is the second biggest value in -5/27, 1/5, 5.77, 4? 4 What is the biggest value in -6, -4/3, 0.03, 0.1, 1/40? 0.1 What is the second smallest value in -38, -2/23, -2/5, -923? -38 Which is the fourth smallest value? (a) -1 (b) 186 (c) -2/7 (d) 36 b What is the third smallest value in -2, -6.5, -14, -4? -4 What is the fifth biggest value in 217, -19, -3/7, 0, 5? -19 Which is the second smallest value? (a) 97624 (b) -2 (c) 3 c Which is the third smallest value? (a) -1 (b) -22 (c) -15/13 (d) -16 (e) 2 (f) -0.3 c Which is the biggest value? (a) -36 (b) 10.613 (c) 0.7 b What is the third biggest value in 631/4, -1.38, 1/7? -1.38 Which is the biggest value? (a) 0 (b) 6 (c) -1/2 (d) 0.3 (e) -6129 b Which is the smallest value? (a) 4 (b) -2 (c) -3 (d) 249 (e) 3/8 c Which is the fourth smallest value? (a) 5 (b) -9 (c) -15/2 (d) 13 (e) -1 a Which is the fourth smallest value? (a) -0.2 (b) 0.5 (c) -23 (d) 0.02 (e) -3 (f) 4/9 d What is the smallest value in 1/3, -7, 2/13, 0.5, 158, -2/3? -7 Which is the second smallest value? (a) -17/14 (b) -5 (c) 54 a What is the second smallest value in 4, 0, -0.2, 2421? 0 Which is the second biggest value? (a) 5 (b) 28 (c) -2.2861 a Which is the second smallest value? (a) -0.3 (b) -14/13 (c) -5 (d) -0.2 (e) -4 e Which is the fifth biggest value? (a) -65 (b) -7 (c) -2 (d) -5 (e) 0 (f) 1/4 b Which is the biggest value? (a) -0.2 (b) -115 (c) 36 c What is the fourth biggest value in -0.2, 4, 1, 2/817, 2, -5? 2/817 Which is the second smallest value? (a) 64 (b) -4 (c) -5 (d) 1 (e) -8 (f) -0.3 c Which is the third smallest value? (a) 1/4 (b) 8957 (c) -4 b What is the second biggest value in 62, 35, -2/9? 35 Which is the biggest value? (a) 2/7 (b) -3 (c) 1/32 (d) -0.13 a Which is the second biggest value? (a) 0.11 (b) 30 (c) 0.1 (d) -2 a Which is the smallest value? (a) -39.949 (b) -4 (c) 0.2 a What is the fourth biggest value in -4, 3, 0, 0.1, -79/6? -4 What is the biggest value in -15, -2.4, -2, -0.7? -0.7 Which is the second smallest value? (a) -2 (b) -4 (c) 0.063 (d) -3099 b What is the fifth smallest value in -34, -8, 3, 0.2, -42? 3 What is the fourth smallest value in 1/4, -64, -0.1, -163? 1/4 Which is the smallest value? (a) -0.1 (b) 194/41 (c) -3 (d) 0.1 (e) -1/3 c What is the smallest value in 4, 6, -0.03, -79? -79 Which is the fourth smallest value? (a) 1/3 (b) -2/11 (c) 35/4 (d) -2/21 c Which is the biggest value? (a) 1 (b) 18 (c) 0.189 b Which is the fourth smallest value? (a) -0.3 (b) 2/11 (c) -1256 (d) -9 b What is the fourth biggest value in -2, -13, -10, -3/4, -3? -10 Which is the fourth biggest value? (a) -0.22 (b) -3/5 (c) -2 (d) 4/3 (e) -0.4 (f) 1/3 e Which is the second biggest value? (a) -2/69 (b) -766 (c) 2/3 (d) -7/4 a What is the second biggest value in 887, -1/2, 3/8, -2/17? 3/8 Which is the second biggest value? (a) -0.36 (b) -14 (c) -12 (d) -2 (e) 1 a Which is the third smallest value? (a) 3/20 (b) 6/65 (c) 1/2 c Which is the smallest value? (a) 0.5 (b) 85 (c) 2/395 (d) -1/4 (e) -1/5 d Which is the second biggest value? (a) -318 (b) -21 (c) -7 (d) 3 c What is the second smallest value in 5, -2/11, -2611, 1/7, -3, 1/2? -3 Which is the third smallest value? (a) 0.3 (b) -4 (c) -0.9 (d) -27 (e) 3/4 c What is the fifth biggest value in -0.1, 0.6, -2, 0, 1.64? -2 What is the third biggest value in 1/10, -1204, 1? -1204 What is the fourth smallest value in 35, 2, -0.3, 7.1, 1/6? 7.1 Which is the smallest value? (a) 1 (b) -1/2 (c) -2/73 (d) -10 d What is the third smallest value in -3, -0.5, 3048/7, -2, 4? -0.5 Which is the fourth smallest value? (a) -1 (b) 1 (c) 4 (d) 3/5 (e) 5 (f) 2356 c Which is the third biggest value? (a) -2/9 (b) -5194 (c) -2/33 b Which is the second biggest value? (a) -821.7 (b) 2/87 (c) 2 b What is the fourth biggest value in 5, -0.22, 3, 1671? -0.22 Which is the biggest value? (a) -2716/9 (b) 1/2 (c) 8 c Which is the third smallest value? (a) 6 (b) 1/5 (c) -1/8 (d) -7153 b What is the smallest value in 0.04, 2397, -3/7, 2/3? -3/7 Which is the third smallest value? (a) 4 (b) -0.5 (c) -0.1 (d) 37824 a What is the smallest value in -1/2, -0.09, -1, 0.4, -0.37? -1 Which is the fourth biggest value? (a) 4 (b) -0.4 (c) 1/28 (d) -1/5 (e) 0.4 d What is the third smallest value in 10, 0, 2, -399/2? 2 Which is the fifth smallest value? (a) 0.4 (b) 0 (c) -3 (d) 4/125 (e) -4 (f) 1/5 f Which is the biggest value? (a) -91 (b) -0.12 (c) -476 b Which is the smallest value? (a) -1 (b) 240/3613 (c) 1/3 a What is the fourth biggest value in -2/7, -3, 822, 27, 3/5, -1/7? -1/7 Which is the smallest value? (a) 5/2 (b) -1 (c) -523 (d) -5 c What is the third biggest value in -3011, 0.3, -0.1, 0.4? -0.1 Which is the fourth smallest value? (a) 3 (b) -17 (c) -7/22 (d) -2/13 a Which is the fifth biggest value? (a) 0 (b) 4 (c) 4/5 (d) 0.5 (e) -133/5 e What is the third biggest value in -1, 3, 4, -225.5088, 0? 0 What is the biggest value in 0.4, 5, 4, 3/5, -0.1472? 5 Which is the second smallest value? (a) -1.9 (b) -1 (c) -0.3 (d) 4 (e) 1/10 b What is the third smallest value in 1/4, 0.0036, -9? 1/4 What is the fifth smallest value in 0.2, 0.4, 1/11, -12, -4, 2/59? 0.2 Which is the third biggest value? (a) -4 (b) -943 (c) -0.05 (d) 0.5 a Which is the fourth biggest value? (a) -3 (b) 1/22 (c) 0.058 (d) 3/5 (e) 0.1 b What is the third smallest value in -1/11, 729, 8, -3/5? 8 What is the second biggest value in 1530, -3, -30? -3 Which is the second smallest value? (a) -2/9 (b) -3 (c) 16222 (d) 5 (e) -13 b Which is the biggest value? (a) 0.033 (b) 0.02 (c) 2/23 c Which is the fifth smallest value? (a) -2 (b) -10/3 (c) 0.5 (d) -0.11 (e) -0.022 c Which is the third biggest value? (a) 3/22 (b) -2/41 (c) 30 (d) 0.1 d What is the third smallest value in 0.2, -7/3, -0.355, -1/8? -1/8 What is the fifth biggest value in 5, 0.5, 27, 4, -9.4, 1/3? 1/3 Which is the sixth biggest value? (a) -0.03 (b) -0.2 (c) -0.5 (d) 1 (e) -154 (f) 0.4 e Which is the sixth biggest value? (a) -7/137 (b) 14 (c) 1/6 (d) -2 (e) -0.4 (f) 2 d What is the third biggest value in 1.4, -0.1, -168/31? -168/31 What is the second smallest value in 3, 3/14, 717? 3 Which is the smallest value? (a) 6 (b) -0.5 (c) -1390/21 c Which is the second smallest value? (a) -1155 (b) -0.4 (c) 4 (d) 0.3 b What is the second biggest value in -261, -4/5, -1, 0.52? -4/5 What is the biggest value in 1, -0.3, 2, -2940, 0? 2 What is the biggest value in 3069173, 2/3, -0.5? 3069173 Which is the fourth biggest value? (a) 5 (b) 0.1 (c) -63 (d) 1052 c Which is the third smallest value? (a) 0.1 (b) 4.6 (c) -1/9 (d) -1.2 a What is the second biggest value in -0.4, -3, -45, 4/51? -0.4 What is the fourth smallest value in -3/5, -9, -5/6, 3, -17/2, -3? -5/6 Which is the fourth smallest value? (a) 87 (b) -0.04 (c) 1 (d) -0.05 (e) -2 c What is the fourth biggest value in 133, -0.4, 0.06, -0.3, -1/9, -36? -0.3 What is the smallest value in 2/371, -12/5, -0.2? -12/5
{ "pile_set_name": "DM Mathematics" }
q - 3*i**3*n*q*y**2 + 15*i**3*y + 10*i*y**2 - 11*n**3*y**2 + 645*n**2*q wrt y? -6*i**3*n*q + 20*i - 22*n**3 Find the second derivative of 74760*i**3*s**4 - 12*i**3*s - 3*i**3 + i + s**4 + 421*s - 1 wrt s. 897120*i**3*s**2 + 12*s**2 What is the third derivative of 665*s**2*t**3 - 15551*s**2*t**2 + s*t**3 - 13*t**3 - 5*t**2 wrt t? 3990*s**2 + 6*s - 78 Find the second derivative of -1197167*f**2*w**3 - 925220*f**2*w - f*w + 2*w**4 wrt w. -7183002*f**2*w + 24*w**2 Find the second derivative of 88415*h**2*j**4 + 153823*h**2*j wrt j. 1060980*h**2*j**2 What is the third derivative of 1083*n**6 + n**4 - 8*n**3 + 2432*n**2 + 21*n wrt n? 129960*n**3 + 24*n - 48 Find the second derivative of -11863*b**3*d**2 - 4*b**2 + 3*b*d**2 + 2*b*d + 200*d**2 wrt b. -71178*b*d**2 - 8 Differentiate 86190*i**2 - 4*i*r + 332400*r - 1 wrt i. 172380*i - 4*r Find the first derivative of a**3*j + 11*a**2*j**3 - 82*a**2*j - 1282*j**3 + 624 wrt a. 3*a**2*j + 22*a*j**3 - 164*a*j Find the third derivative of 258100*k*l**4 - 577*k*l**2 - 2*l**5 + 625*l**2 wrt l. 6194400*k*l - 120*l**2 Find the second derivative of -4490*x**4 + 7*x**3 - x + 439 wrt x. -53880*x**2 + 42*x Find the second derivative of -2*j**2*s**3*x**2 + 67135*j**2*x**3 + 221*j*s**3*x**2 - j*s**3*x + 42*j*s*x**3 - 4*x wrt j. -4*s**3*x**2 + 134270*x**3 What is the second derivative of 304233*r**2 + 83*r - 16037? 608466 Find the third derivative of 14*w**6 + 39*w**5 + 90*w**3 + 2*w**2 + 228444*w + 2. 1680*w**3 + 2340*w**2 + 540 Find the second derivative of 5*c**3 + 196774*c**2 - 273870*c - 1. 30*c + 393548 What is the first derivative of 41632*x**3 - x**2 + 30603 wrt x? 124896*x**2 - 2*x Differentiate -19*h*i**2 - 20*h*i + 11356*h + i + 4 wrt i. -38*h*i - 20*h + 1 Find the second derivative of 34892*h**5 + 32372*h wrt h. 697840*h**3 Find the third derivative of -327*m**6 + 28*m**5 + m**2 - 3622. -39240*m**3 + 1680*m**2 Differentiate 29301*c + 34612 wrt c. 29301 What is the derivative of -20*q**2*r**2 + 23*q**2*t + 2*r**2*t - 412*t wrt r? -40*q**2*r + 4*r*t Find the third derivative of 140*a**3*o**3 - 7*a**3 + 19*a*o**2 + 2*o**4 + 81*o**3 - 2*o**2 wrt o. 840*a**3 + 48*o + 486 What is the third derivative of 135300*r**3 - 120451*r**2 - 2*r - 1? 811800 Find the third derivative of -2225229*b**3 - b**2 - 31824*b + 2. -13351374 What is the second derivative of 7*d**5 + d**4 - 34110*d**3 + 3877*d + 12 wrt d? 140*d**3 + 12*d**2 - 204660*d Differentiate 94666*o - 7023. 94666 Find the first derivative of -3*h**3 + 3899*h - 13749. -9*h**2 + 3899 Find the third derivative of -2*f**4*z - f**4 - 116419*f**3*z - 4*f**3 + 5*f**2*z + 23*f**2 - 2*f - 298*z - 2 wrt f. -48*f*z - 24*f - 698514*z - 24 What is the third derivative of -395634*s**3*w**3 + 3*s**2*w - 24*s*w + 718*w**3 wrt s? -2373804*w**3 Find the second derivative of 5*b**3 - b**2*r + 1989*b**2 + 2*b*r - 4*b + 19*r - 44 wrt b. 30*b - 2*r + 3978 What is the third derivative of -46923*h**3*i - 4*h**2*i + 2*h**2 + 9*i + 90 wrt h? -281538*i Find the third derivative of 2846384*p**3 - 60832*p**2 - 20. 17078304 What is the second derivative of -75915*m**3*v**3 - 10063*m**3*v - 3*m**3 + m**2*v**5 wrt v? -455490*m**3*v + 20*m**2*v**3 Find the second derivative of -7768*c**2 + 715*c - 1 wrt c. -15536 Find the third derivative of -4433*r**4 + 9*r**3 + 2910*r**2 + 3*r. -106392*r + 54 Find the first derivative of 101200*n**2 - 23924. 202400*n Find the third derivative of 42128*c**4 - 579*c**2 - 56 wrt c. 1011072*c Differentiate j*l**2 + 21461*j*l - 2*l**2 + 3064*l - 2 with respect to j. l**2 + 21461*l Differentiate 4*d**4 - 91383*d**3*l - 28*l + 1773 wrt d. 16*d**3 - 274149*d**2*l What is the third derivative of -3115482*m**4 - 417622*m**2 - 3*m wrt m? -74771568*m Differentiate -963*p*u*z**3 + 5*p*z**3 - p*z - 63*p - 13*u*z**3 - 2*u*z - 20*z**3 + 13 wrt u. -963*p*z**3 - 13*z**3 - 2*z Find the second derivative of -5*j**3*t - j**3 - 9862*j**2*t + 2*j + 2*t - 565 wrt j. -30*j*t - 6*j - 19724*t Find the third derivative of 484*d**3*l**5 - 5*d**3*l**4 + 30*d**3*l**2 + 440*d**2*l**2 + l wrt l. 29040*d**3*l**2 - 120*d**3*l What is the second derivative of -181901*r**2*t**2 - 2*r*t**2 - 15834*t**2 wrt r? -363802*t**2 Differentiate 4*a**4*x - 3285*a*x**2 - 7*a + 2*x**2 - 13486*x - 26 with respect to a. 16*a**3*x - 3285*x**2 - 7 What is the first derivative of -297*d**3*m - 141*d**3 - 5*d*m**2 + 82*m*q + 2613*q wrt m? -297*d**3 - 10*d*m + 82*q What is the second derivative of 297030*y**3 + 3737*y + 44? 1782180*y Find the third derivative of -246116*m**3 - 21*m**2 + 287*m + 8 wrt m. -1476696 What is the third derivative of 29668*h**3*w**3 + 3*h**2 - 124*h*w**2 - 25*w**3 wrt h? 178008*w**3 Find the second derivative of -329908*j**3 + 28683*j - 2. -1979448*j What is the third derivative of 2*a**4 - 328578*a**3 - 61*a**2 - 2*a - 133 wrt a? 48*a - 1971468 What is the derivative of 1756290*b*j - 92*b - 84 wrt j? 1756290*b What is the second derivative of -2*c**5 + 405*c**3 - c**2 - 3*c + 42656? -40*c**3 + 2430*c - 2 What is the second derivative of 62049*b**3*f + b*f + 49*b - 67*f + 1 wrt b? 372294*b*f What is the third derivative of -2299636*k**6 - 1916341*k**2 wrt k? -275956320*k**3 What is the derivative of -k*u**3 - 38*k*u - 20*k - 61950*u**3 - u wrt k? -u**3 - 38*u - 20 What is the third derivative of t**2*z**3 - 30*t**2*z**2 + 2*t**2 - 28452*t*z**3 - 2*z**3 - 378*z**2 + 1 wrt z? 6*t**2 - 170712*t - 12 What is the first derivative of 153*m**2 + 408*m - 230321? 306*m + 408 Find the second derivative of 68714*i**2 - 3656*i - 7 wrt i. 137428 Differentiate 2369*m**4 - 26*m + 307647 with respect to m. 9476*m**3 - 26 What is the derivative of -2364033*x**4 - 2692954 wrt x? -9456132*x**3 What is the first derivative of -l**4 + 1181*l**2 - l - 30193 wrt l? -4*l**3 + 2362*l - 1 What is the derivative of 26034*a**3 - 3*a**2 - 2*a - 460805? 78102*a**2 - 6*a - 2 Differentiate 1236230*r**2*y - 244408*y wrt r. 2472460*r*y Find the third derivative of -197*h**6 - 255*h**5 - 21136*h**2 wrt h. -23640*h**3 - 15300*h**2 What is the second derivative of -125827*n**2*r - 2*n*r - 27*n - 100*r + 2 wrt n? -251654*r What is the second derivative of 2213173*a**4 - 10*a + 49841 wrt a? 26558076*a**2 Find the first derivative of 38683*p + 4955 wrt p. 38683 What is the second derivative of -92226*z**4 - 2*z + 2468 wrt z? -1106712*z**2 Differentiate -2244*k*r - 2*k*t**2 - k - 12377*r*t + 234*r - 7*t with respect to t. -4*k*t - 12377*r - 7 Find the second derivative of 9*l**3*r**3 + 7*l**3 - 70*l**2 + 2*l*r**3 + 11*r**3 + 3*r - 5 wrt l. 54*l*r**3 + 42*l - 140 Differentiate -719*i**3*w + 10481*i**3 + 20*w**2 with respect to w. -719*i**3 + 40*w Find the third derivative of -17414*l**3*z**3 - 25*l**3*z**2 + 3*l**3 + 8*l*z wrt z. -104484*l**3 What is the first derivative of 3662551*q + 4091415 wrt q? 3662551 Find the third derivative of 68*k**3*w**4 - 446*k**3*w**2 + 116*k**2*w**5 - k*w**2 + 3*k*w - 22 wrt w. 1632*k**3*w + 6960*k**2*w**2 Find the third derivative of 3*i**5 - 45*i**4 + 118*i**3 - 604*i**2 + 2*i - 2. 180*i**2 - 1080*i + 708 Differentiate 49905*w**3 - 5894 wrt w. 149715*w**2 What is the first derivative of -2448*j**3 - 16*j**2 + 5*j - 1027770? -7344*j**2 - 32*j + 5 What is the third derivative of 263*d**3*z**3 + 4*d**3 + 5*d**2 + 2*d*z**3 + 1289*d*z**2 + 2 wrt d? 1578*z**3 + 24 Find the third derivative of 634*o**6 - 754*o**4*v - 2*o**2*v + 167*o**2 + 493*v wrt o. 76080*o**3 - 18096*o*v What is the second derivative of -239*l**4 - 2*l**3 - 2026*l**2 - 2*l - 50747? -2868*l**2 - 12*l - 4052 What is the third derivative of 2*y**4 + 26067*y**3 - 2228*y**2 + 428 wrt y? 48*y + 156402 Find the second derivative of -140773*a*c*l**3*m**2 - 7*a*c*l**3*m + 7*a - 666*c*l**3*m - c*l**2*m - c*m**2 wrt m. -281546*a*c*l**3 - 2*c Differentiate 6*y**4 - 2308*y**3 + 2*y**2 - 148694. 24*y**3 - 6924*y**2 + 4*y Find the third derivative of 1505140*j**5 + 5420572*j**2. 90308400*j**2 What is the third derivative of 15180*a**3*x - 15*a**3 + a**2*x + 401106*a**2 + 2*a*x + 4 wrt a? 91080*x - 90 What is the third derivative of -67*f**3*k**5 - 1248*f**3*k**3 - 147*f**3 + 849*k**2 wrt k? -4020*f**3*k**2 - 7488*f**3 Find the second derivative of 23115*k**5 + 446778*k wrt k. 462300*k**3 What is the second derivative of -560*b**2*h**3*o - 176*
{ "pile_set_name": "DM Mathematics" }
*u**3 - 4*u**2 + 2. Let v be q(-2). Suppose -324005 = 4*r - 7*r - 5*j, -v*r + 3*j + 215997 = 0. What is r rounded to the nearest ten thousand? 110000 Let n = 3.256 + -7.214. Round n to one dp. -4 Let b(x) = 272*x - 5. Let a be b(4). Let r = a - -58343. Let j = 14426 - r. Round j to the nearest 10000. -50000 Let h = 3.6 + -3.716. Let z = h + 0.062. Let b = z + 0.07. What is b rounded to 2 decimal places? 0.02 Let j = 12.7 + -12. Let k = -9 + 5.3. Let g = j - k. Round g to zero dps. 4 Let r = 60 - 54. Suppose -i = r*i - 392. Round i to the nearest 10. 60 Let b = -93 - -56. Let p = b - -637. Round p to the nearest one hundred. 600 Let s = -137184659722603 - -137184666401881.20000035. Let x = s - 6679278. Let z = 0.2 - x. Round z to 7 dps. -0.0000004 Let s(z) = z**2 - 3*z - 3. Let o be s(3). Let p be (152 + -2)*(o + -105997). What is p rounded to the nearest 1000000? -16000000 Suppose 4*f = 9*f + 25, 3*f = -2*y - 1286015. Round y to the nearest 100000. -600000 Let l = -678 + 678.00987. Round l to 4 dps. 0.0099 Let w = 143.897762 + -143.9. Round w to 4 decimal places. -0.0022 Suppose 5*s + 28 = 4*s. Let t be 4 - (0/4 + s). Let g be (t/(-8))/(2/255000). What is g rounded to the nearest 100000? -500000 Let t = -0.52465577475549 + 13045553.82462657475549. Let m = -13045556 + t. Let c = m + 2.7. What is c rounded to 6 dps? -0.000029 Let n = 5661008.7767 + -1.7767. Let o = n - 5661028.0000104. Let u = -21 - o. Round u to 6 decimal places. 0.00001 Let w = -73 - -68.1. Let b = w - -4.899869. Round b to 4 decimal places. -0.0001 Let t = 306 + -305.999999294. What is t rounded to seven dps? 0.0000007 Suppose -6*n - 5*c + 30 = -n, 15 = 5*c. Suppose -3*r + 1182 = n*x, -5*r + 4*x + 2402 = 468. What is r rounded to the nearest one thousand? 0 Let y = -872.9999909 - -873. What is y rounded to 6 dps? 0.000009 Suppose 0 = i - 175 - 995. Suppose 0*b + i = 3*b. What is b rounded to the nearest 100? 400 Suppose 46*t + 15 = 47*t. Suppose 10*m = t*m - 60000. What is m rounded to the nearest 10000? 10000 Let a(j) = -7*j**2 + 16*j + 90. Let t be a(-22). What is t rounded to the nearest 1000? -4000 Let t = -262.8445132 - -259.5445. Let z = -3.3 - t. What is z rounded to six dps? 0.000013 Let p = -1357.54 - -1369.5400084. Let v = p + -12. What is v rounded to six dps? 0.000008 Let h(f) = 5*f**2 + 3. Let u be h(-12). Let j = 3 - u. Round j to the nearest one hundred. -700 Let d(m) = -3*m + 28. Let p be d(0). Suppose 8*q + p = 4*q. Let n be (-1 + -41)*1500/q. Round n to the nearest 1000. 9000 Let s = -69.68 - 19.22. Let t = s - -149. What is t rounded to the nearest 10? 60 Let f = -13857.64910840831 - -0.64609390831. Let c = f - -13857. Let k = c - -0.003. Round k to 6 decimal places. -0.000015 Let w = 0.04892 + -2.06192. What is w rounded to zero dps? -2 Let q = -1777 + 1777.1031. Round q to 3 decimal places. 0.103 Let g = -34.2 + 34.2000626. What is g rounded to 6 dps? 0.000063 Let f be (5 - 6 - 0)*-5. Suppose -3*p + 3*c - 10654 = -27739, -p + f*c = -5675. What is p rounded to the nearest 1000? 6000 Let f = -5653 - -5650.459. What is f rounded to one decimal place? -2.5 Let j = -19 + 19. Suppose 6*y = -j*y. Suppose y = -5*g + g + 8800000. What is g rounded to the nearest one hundred thousand? 2200000 Let s(a) be the first derivative of a**3/3 + 3*a**2/2 - 4*a - 5. Let m be s(-4). Suppose m*o + 5*o + 13500000 = 0. What is o rounded to the nearest 1000000? -3000000 Let p(g) be the first derivative of 447221*g**3/3 - 7*g**2/2 + 2*g - 11. Let b be -1*1*(-24)/(-4). Let j be p(b). Round j to the nearest 1000000. 16000000 Let j = -1596 + 1802.3. What is j rounded to the nearest ten? 210 Let v = 1322.0000005192 + -1322. What is v rounded to 7 dps? 0.0000005 Let t = -33.859452 + -4.140418. Let y = -38 - t. Round y to 4 decimal places. -0.0001 Suppose 11*q = 17*q + 36. Let y be q/21 + (-36)/21 - -460002. What is y rounded to the nearest one hundred thousand? 500000 Suppose -y = -4*c - 2*y + 8, -10 = -5*c + 2*y. Let f be (4 - 1) + c + -40. Let l be 1500000/f*154/(-4). Round l to the nearest 100000. 1700000 Let z be 24/18*(-18)/(-8). Suppose -z - 3 = -2*n, -4*g - 4*n = -29276. Suppose -l - g + 27316 = 0. What is l rounded to the nearest 100000? 0 Let l = -3 + 5. Let k = 9.9 - 7.35. Let z = l - k. Round z to 1 dp. -0.6 Let v = 172.35 - 168. What is v rounded to zero decimal places? 4 Let n = -2508.346 - -2508. What is n rounded to one dp? -0.3 Let n be ((-12)/3)/((-18)/21675609). Let g = n + -19716802. What is g rounded to the nearest 1000000? -15000000 Let c = 26412 - 46374. Let u = c - -60962. Round u to the nearest 10000. 40000 Let l(i) = -190000*i. Let s = 7 - 2. Suppose f = -4*f - 5*b - 5, -s*b = -5*f + 15. Let y be l(f). What is y rounded to the nearest one hundred thousand? -200000 Let n = -0.72198066 - -0.722. Round n to 6 decimal places. 0.000019 Let a = -2874458058 - -2874457682.99999783. Let u = -465 - -90. Let o = u - a. Round o to seven decimal places. 0.0000022 Let f = 8553.96539 - 8554. Round f to three decimal places. -0.035 Let k = 85.7295086 - -68.2705076. Let p = -154 + k. What is p rounded to six decimal places? 0.000016 Let j = 0.31 + -0.09. Let c = 0.07 - j. Let o = c - -0.150105. Round o to five decimal places. 0.00011 Let n = 5240 + -5239.5129. Let z = 0.0661 - n. What is z rounded to one dp? -0.4 Let r be 48/24 - 4578*109. What is r rounded to the nearest ten thousand? -500000 Let w = -2696956608.03462722 + 4367393172.0346283. Let h = w - 1670436497. Let f = h - 67. What is f rounded to seven decimal places? 0.0000011 Let n = 939.73 + -1017. Round n to the nearest ten. -80 Let n(y) = -y**2 - 14*y - 16. Let v be n(6). Round v to the nearest ten. -140 Let o = -284.672 - -286. Let r = 1.1337 - o. Let l = r - -0.19. Round l to 3 decimal places. -0.004 Suppose -5*a = t + 6357, 0*t = t + 2. What is a rounded to the nearest 1000? -1000 Let w = 5.83 + 0.17. Let x = w - 5.99999975. Round x to seven dps. 0.0000003 Suppose 8*p + 1512 = 12*p. Suppose 4*w = -p - 46. What is w rounded to the nearest ten? -110 Let a = -280023 + 280026.999975. Let n = -4 + a. What is n rounded to six dps? -0.000025 Let a = 12.2 + -10. Let l = 2.20564 - a. Round l to 4 dps. 0.0056 Let i = 1026055.000068 - 1026062. Let t = 7 + i. What is t rounded to five dps? 0.00007 Let y = 810656762.0000053 + -810656838. Let v = 3.3 - 79.3. Let p = v - y. What is p rounded to 6 dps? -0.000005 Let p = 16.6 - 100.6. Let u = -80.95 - p. Round u to one decimal place. 3.1 Let a = -31.6 + 15. Let y = a + 16.59901. Round y to 4 decimal places. -0.001 Let q = 8 + -8. Suppose -z = -q*c + c + 4, -2*c - 6 = z. Let i be z/6 + (-17999999)/3. Round i to the nearest 1000000. -6000000 Let v = 17.06 + 133.38. Let w = v + -155. Round w to 1 decimal place. -4.6 Let v = 844.999997935 + -845. What is v rounded to 7 decimal places? -0.0000021 Let x = -307 - -181. Let q = -125.879 - x. Let s = -0.12 + q. Round s to two decimal places. 0 Let i = -3334.5959 + 3335. Let d = 0.386 - i. Round d to three dps. -0.018 Let n = 0.1660276 + -0.166. What is n rounded to six decimal places? 0.000028 Let s = -108.75 + 108.755453. What is s rounded to 4 decimal places? 0.0055 Suppose -336*h = -346*h + 26100. What is h rounded to the nearest 100? 2600 Let i = 1 + -0.896. Let m = 97.896 + i. Let g = m + -97.931. What is g rounded to two decimal places? 0.07 Let u(h) = -63*h + 77. Let i be u(18). Round i to the nearest 100. -1100 Let b = 12366 + 5834. Suppose 8*s + b = -6*s. What is s rounded to the nearest one thousand? -1000 Let k = 475 + -473.27. What is k rounded to the nearest integer? 2 Let c = -8633.0167 - 0.9833. Let n = c - -8638.6152. Let g = n + -4.6. What is g rounded to three dps? 0.015 Let v = 34.08002 - 34.04. Let x = v + -0.04. Round x to five decimal places. 0.00002 Let z = -269 + 6. Suppose 0 = 5*b + 2*n - 248689, -5*n + 0*n = b - 49747. Let x = z - b. What is x rounded to the nearest ten thousand? -50000 Let h(n) = -8*n**3 + n**2 + 2*n + 1. Let i be h(-1). Suppose -i*p + 200 = -3*p. Round p to the nearest ten. 40 Let a = 2279 + -884. Let b = 2067 + -52. Let o = b - a. Round o to the nearest 100. 600 Let x = -480 + 479.999574. Round x to 5 decimal places. -0.00043 Let o = -23.2046 + 0.0546. Let y = 10.9 + o. Let v = 0.65 + y.
{ "pile_set_name": "DM Mathematics" }
- 2 Let t(a) = 4*a + 3. Let y(z) = 12*z**2 + 51*z + 18. Calculate 6*t(s) - y(s). -12*s**2 - 27*s Let t(x) = 954*x - 20. Let w(v) = 636*v - 14. Determine 5*t(l) - 7*w(l). 318*l - 2 Let s(v) be the third derivative of 0 + 0*v + 12*v**2 + 7/6*v**3 - 7/60*v**5 + 3/8*v**4. Let n(q) = 11*q**2 - 14*q - 11. Determine 5*n(x) + 8*s(x). -x**2 + 2*x + 1 Suppose -5*d - 3*i - 8 = 0, 1 = -3*d - 4*i - 6. Let c(r) = -r**2 - 1. Let u(k) = 83*k**2 - 97657*k + 97654*k - 2 - 86*k**2. Calculate d*u(j) + 2*c(j). j**2 + 3*j Suppose 108*v - 109*v - 2*x - 11 = 0, -4*v + 2*x + 6 = 0. Let l(a) = -a**2 + 1. Let t(w) = 2*w**2 - 2*w + 5. What is v*t(f) + 5*l(f)? -7*f**2 + 2*f Let t(i) be the first derivative of 6*i**2 + 3*i + 78473. Suppose 0*o + 6 = -2*o. Let u(g) = -132*g - 32. Determine o*u(l) - 32*t(l). 12*l Let a(q) = 730*q**2 - 3*q - 8. Let h(o) = 1953*o**2 - 8*o - 23. Let y(f) = 8*a(f) - 3*h(f). Let b(x) = -13*x**2 + 3. Determine 8*b(d) - 5*y(d). -9*d**2 - 1 Let m = 9 + -6. Let x(d) be the first derivative of 2*d**3/3 + d**2 + 4*d + 22329. Let u(r) = -2*r**2 - 3*r - 3. Give m*x(p) + 4*u(p). -2*p**2 - 6*p Let i(r) = r**2 - 4*r + 3. Let m(a) = -307 + 4*a**2 - 308 - 39*a + 22*a + 627. Calculate -9*i(d) + 2*m(d). -d**2 + 2*d - 3 Let w(u) = -13*u**2 - 2*u. Let z(h) = -991 - h**2 + 991 - h + 0*h. Let i be (-8)/52 + 0 + (-240)/130. Determine i*z(v) + w(v). -11*v**2 Let f(w) = -5*w**3 + w**2 - w + 1. Let v(x) = 10559*x**3 + x**2 - x + 1. What is f(d) - v(d)? -10564*d**3 Let o(l) = 30*l**3 - 3*l**2. Let r(c) = -c**3 + c**2. Suppose 0 = -2*x + 5*a - 4, -4*a = 2*x - 49 + 35. What is x*r(s) + o(s)? 27*s**3 Let m = 22763 + -22761. Let q(p) = p**2 - 4. Let b(a) = a**2 + 2 - 6 - 5. Give m*b(k) - 5*q(k). -3*k**2 + 2 Let y(r) = -8*r. Let z(v) = -4*v - 3. Let i(x) = -3*x - 2. Let a(t) = 3*i(t) - 2*z(t). Suppose -938*l + 4190 = 211*l + 11084. Determine l*a(h) + 2*y(h). -10*h Let g(s) = s - 4 + 1 + 2. Let c(v) = v - 3*v + 3629 - 3634. What is -c(o) + 5*g(o)? 7*o Let b(s) = -10 - s + 3 + 20 + 20*s - 18. Let m(g) = -48*g + 12. Give -12*b(n) - 5*m(n). 12*n Suppose 0 = 3*j + 2*i + 419 - 439, -2*j = -2*i. Let m(d) = 2*d**2 + 7*d - 1. Let g(s) = -2*s**2 - 6*s + 1. Give j*m(b) + 5*g(b). -2*b**2 - 2*b + 1 Let o(v) = v**2 - v - 1. Let p = -771 - -772. Let g(j) = j**2 - 28*j - 1. What is p*g(r) - 2*o(r)? -r**2 - 26*r + 1 Let w(u) = u**3 + u**2 + u - 1. Let p(z) = -13*z**3 + 3*z**2 + 5*z - 5. Let f = 7727 - 7722. Determine f*w(s) - p(s). 18*s**3 + 2*s**2 Let m(p) = -4*p**2 + 140*p + 4. Let h(o) = 4*o**2 - 152*o - 6. Give 3*h(u) + 4*m(u). -4*u**2 + 104*u - 2 Let g(w) = -587*w - 15. Let o(b) = 631*b + 18. What is -4*g(x) - 3*o(x)? 455*x + 6 Let n(a) = -5 + a + 15*a - 29*a. Let j = -38 - -43. Let m(r) = 1 + 6 - j + 6*r. Calculate -5*m(g) - 2*n(g). -4*g Let i(r) = 17*r**3 - 34*r**2 - 12*r + 15. Let c(o) = -4*o**3 + 9*o**2 + 3*o - 4. What is 15*c(k) + 4*i(k)? 8*k**3 - k**2 - 3*k Suppose 274*t = -247*t + 193*t + 656. Let o(z) = -17*z. Let u(x) = -69*x - 1. Calculate t*u(d) - 9*o(d). 15*d - 2 Let i(z) = 234*z + 27. Let y(u) = -1636*u - 196. Determine 36*i(t) + 5*y(t). 244*t - 8 Let v(w) = -13*w**2 - 32*w + 30. Let u(n) = 19*n**2 + 47*n - 44. Let b(x) = 15*u(x) + 22*v(x). Let k(m) = 3*m**2 + 5*m. Calculate -2*b(r) + k(r). 5*r**2 + 3*r Let p(b) = -b + 2. Let q(r) = -3536*r - 19. Calculate 10*p(s) + q(s). -3546*s + 1 Let r(g) = -3*g**3 - 26*g. Let b(k) = -17*k**3 - 57*k - 5. Let y(s) = 15*s**3 + 56*s + 4. Let i(m) = -4*b(m) - 5*y(m). Calculate -2*i(a) + 5*r(a). -a**3 - 26*a Let r(o) = -101*o + 4. Let d(x) = 97*x - 5. Calculate -3*d(w) - 4*r(w). 113*w - 1 Let j(r) = -13*r - 6. Suppose -214512*q + 214514*q = -12. Let p(l) = -1. Let o(d) = 259*d + 118. Let a(g) = -o(g) + p(g). Determine q*a(v) + 119*j(v). 7*v Let t(y) = -3*y**2 - y. Let c be 48/(-216) - ((-55)/(-9) - (-30)/45). Let z(f) = 5*f**2 + 2*f + 1 - 1. Determine c*t(h) - 4*z(h). h**2 - h Let w(h) = -h**2 + h. Let c(n) = 0*n - 2*n - 1 + 1. Let s(u) = -u - 2. Let v(k) = -21*k + 125. Let l be v(6). Let p be s(l). Determine p*c(q) - 2*w(q). 2*q**2 Suppose 3626*l - 5*o = 3625*l - 19, 3*l - 5*o + 27 = 0. Let p(m) = 8*m - 14. Let f(a) = 0 + 3*a + 3 - 4 - 4. What is l*p(c) + 11*f(c)? c + 1 Let d = 0 - 3. Let k(v) = -17*v + 18. Let z(s) = 12*s - 13. Let x(n) = 3*k(n) + 4*z(n). Let a(p) = 2*p - 1. Determine d*x(b) - 4*a(b). b - 2 Let a(v) be the third derivative of -v**5/60 + v**3/6 + v**2 - 7*v + 16. Let w(p) = -6*p**2 + 3*p + 2. Calculate -2*a(b) + w(b). -4*b**2 + 3*b Let q(m) = 33 - 2351*m - 118 + 2716*m. Let x(p) = 13*p - 3. Give -6*q(k) + 170*x(k). 20*k Suppose 181*u = 202*u + 147. Let h(m) = 7*m + 1. Let b(c) = 15*c + 2. What is u*h(q) + 3*b(q)? -4*q - 1 Let h(i) = -1. Let k be (-7)/(-4) + 2263/124. Let s(t) = t. Let g be s(3). Suppose p = -g*p - k. Let a(x) = -x - 2. Calculate p*h(l) + 2*a(l). -2*l + 1 Let i(o) = -12*o + 4. Let n(t) = 23*t - 9. Let u(j) = -63*j**2 - 4474*j - 68. Let q be u(-71). What is q*n(h) + 7*i(h)? -15*h + 1 Let m(s) = 1. Let d(f) be the second derivative of -f**3/2 - 21*f**2/2 + 486*f. Give d(z) + 15*m(z). -3*z - 6 Let g(m) = 5082*m**3 - 45*m**2 + 243*m - 45. Let n(t) = -231*t**3 + 2*t**2 - 11*t + 2. Determine 2*g(h) + 45*n(h). -231*h**3 - 9*h Let r(b) = 247*b**3 - 6*b**2 + 7*b - 45. Let s(x) = 106*x**3 - 3*x**2 + 3*x - 22. Let p(d) = 3*r(d) - 7*s(d). Let j(l) = l**2. Determine -6*j(w) + 2*p(w). -2*w**3 + 38 Let s(p) = -p. Let q(h) = 3*h + 1. Let u(r) = -5*r - 2. Let j(t) = 8*q(t) + 5*u(t). Let b = 47 - 47. Suppose b*a - 3*a - 3 = 0. Calculate a*j(c) + 2*s(c). -c + 2 Let q(w) be the second derivative of -w**3/6 + 11*w. Let y(n) = 5*n. Let x be (-14)/(-84) + 326/(-12). Let v = -23 - x. Determine v*q(z) + y(z). z Let i(y) = 31*y**3 - 4*y**2 + 3*y. Let k(l) = 32*l**3 - 3*l**2 + 2*l. Let g = 9168 - 9171. Give g*i(m) + 4*k(m). 35*m**3 - m Let z(p) = -21*p**3 + 15*p**2 + 15. Let i = 124 - 122. Let v(g) = -38 + g**3 - 2*g**i + 2*g**3 + 74 - 38. Let s be (-154)/10 + (-4)/(-10). Give s*v(k) - 2*z(k). -3*k**3 Let r(q) = -2 + q + 2. Let o(j) = -1. Let y = -2922 - -2923. Let m(b) = y*r(b) + o(b). Let i(p) = 10*p - 7. Give i(h) - 6*m(h). 4*h - 1 Let y(b) = 5294*b**2 + 7*b - 10. Let x(l) = 2640*l**2 + 4*l - 6. Give -5*x(i) + 3*y(i). 2682*i**2 + i Let z(i) = 326*i + 56. Let h(r) = -125*r - 22. Let d(w) = -13*h(w) - 5*z(w). Let f(n) = 3*n - 4. Determine 5*d(l) + 8*f(l). -l - 2 Let o(x) = 353*x - 2. Let v(i) = 1055*i - 8. Calculate 7*o(z) - 2*v(z). 361*z + 2 Let g(s) = -2*s + 13. Let f(p) = 58 + 3*p - 32 - 16 - 24. What is -3*f(q) - 4*g(q)? -q - 10 Let s be (8/(-3))/2 - (-1064)/6. Let t(m) = 86 - m + 88 - s. Let w(y) = 4*y + 10. Give 14*t(k) + 3*w(k). -2*k + 2 Let a(s) = -7251336*s**3 + 31864*s + 15932. Let y(c) = -4552*c**3 + 20*c + 10. Determine 5*a(h) - 7966*y(h). 4552*h**3 Let b(j) = -2*j**2 - 2*j + 7. Let l(k) be the third derivative of k**5/60 - k**3/6 + 5*k**2 - 25. Give b(u) + 5*l(u). 3*u**2 - 2*u + 2 Let l(h) = 6*h - 1. Let i(s) = -168 - 162 + 29 + 302. What is -2*i(r) - l(r)? -6*r - 1 Suppose 5*u - 132 = -3*x - 466, 0 = 4*u + 3*x + 269. Let k(n) = 286*n. Let b(y) = -26*y. Calculate u*b(v) - 6*k(v). -26*v Let z(w) = 1 - 2*w**3 - 1 - 7*w**2. Let p(i) = -i**2. Suppose -2*v + 24 = 4*g, -44 = -3*v - g - 3. Let d = 2908 - 2910. Give d*z(r) + v*p(r). 4*r**3 Let t(s) = -21*s**3 - 6*s**2 - 11*s - 21. Suppose -15*d = 457 - 3442. Let q = d - 188. Let b(n) = 4*n**3 + n**2 + 2*n + 4. Give q*b(j) + 2*t(j). 2*j**3 - j**2 + 2 Let y(k) = -4*k**3 + 2*k**2 + 11*k + 2. Let c(g) = -6525*g + g**3 + 6526*g - 7 - g**2 + 6. Give 2*c(f) + y(f). -2*f**3 + 13*f Let q(l) = l. Let c(s) = -3*s + 3914. Calculate -c(m) - 5*q(m). -2*m - 3914 Let a(p) = p + 1. Let s(v) = 7*v - v - 21*v + 5*v + 6*v - 4. Determine 22*a(f) + 6*s(f). -2*f - 2 Suppose 22*s - 108 + 208 = 210. Let p(q) = 8*q**2 - 11*q. Let t(j) = 4*j**2 - 5*j. Give s*t(x) - 2*p(x). 4*x**2 - 3*x Let l(w) = -160 + 484 - 5*w**2 - 164 - 15*w**3 - 158 + 7*w**2. Let c(o) = 1394*o**3 - 187*o**2 - 187. Determine -2*c(d) - 187*l(d). 17*d**3 Suppose 10 + 6 = -4*i. Let y(h) = 3*h**2 + 4. Let t = 5866 + -5877. Let j(l) be the second derivative of -2*l**4/3 - 11*l**2/2 - 17*l. What is i*j(q) + t*y(q)? -q**2 Let t(j) = j**2 - 7*j - 140. Let c(m) = -3*m**2 + 16*m + 278. Give 3*c(q) + 7*t(q). -2*q**2 - q - 146 Let b(m) = -2
{ "pile_set_name": "DM Mathematics" }
)**2/2 Let u(s) = 3*s - 2. Let r be u(-2). Let k be (4/r)/(2/(-8)). Factor 4*f - 14*f**k + 18*f**3 + 2*f**5 - f**4 - 9*f**4 - 2 + 2. 2*f*(f - 2)*(f - 1)**3 Let f = 215 - 77. Let y = f - 138. Factor -2/9*u + y*u**2 + 0 + 2/9*u**3. 2*u*(u - 1)*(u + 1)/9 Suppose -2*y = -6 - 6. Let l(n) = -n**3 + 5*n**2 + 8*n - 12. Let j be l(y). Factor -2*a**2 + j*a**2 + 2*a + 8*a**2. 2*a*(3*a + 1) Let z(w) be the second derivative of -w**4/14 - 26*w**3/21 - 16*w**2/7 + 25*w. Factor z(v). -2*(v + 8)*(3*v + 2)/7 Let t(x) be the third derivative of x**8/120960 + x**7/7560 + x**6/1080 - x**5/15 + 4*x**2. Let q(d) be the third derivative of t(d). Let q(i) = 0. What is i? -2 Let w = 87 + -77. Find f, given that -6*f**3 + 39*f + w*f**4 - 11*f - 22*f - 10*f**2 = 0. -1, 0, 3/5, 1 Let -18/5*y**2 - 2*y**4 - 40 - 104*y + 76/5*y**3 = 0. Calculate y. -2, -2/5, 5 Suppose -12 = -3*c + 10*l, 7*c + l = 5*c + 8. Let x(t) be the second derivative of -1/18*t**c + 10*t + 0 + 4/27*t**3 - 1/9*t**2. What is d in x(d) = 0? 1/3, 1 Let v = 21199/116655 + 1/10605. Determine p, given that -2/11*p**4 + 0 + 2/11*p**3 + 0*p + 2/11*p**2 - v*p**5 = 0. -1, 0, 1 Let n(w) be the second derivative of 3*w**5/20 - 5*w**4/4 + w**3 + 12*w**2 - 3*w + 2. Find v such that n(v) = 0. -1, 2, 4 Let x = -10 + 12. Factor -71*b + 71*b - 5*b**x + 5. -5*(b - 1)*(b + 1) Let s = -57/434 + 17/62. Suppose 0*i**2 + s*i**4 + 0*i + 3/7*i**3 + 0 = 0. Calculate i. -3, 0 Let i(d) be the first derivative of -d**4/18 + 2*d**3 - 8*d**2/3 - 104*d/9 - 67. Factor i(t). -2*(t - 26)*(t - 2)*(t + 1)/9 Let l = 9 + -14. Let x be 1 + 0 - 3 - l. Factor -2 - 35/2*u**2 + 25/4*u**x + 11*u. (u - 2)*(5*u - 2)**2/4 Let c(b) be the second derivative of -b**4/18 - 29*b**3/9 - 28*b**2/3 + 164*b. What is h in c(h) = 0? -28, -1 Let z(v) be the third derivative of 0 + 1/14*v**3 + 21*v**2 + 1/420*v**6 - 1/60*v**5 + 0*v + 1/84*v**4. Find f such that z(f) = 0. -1/2, 1, 3 Let u(c) = -c**3 + 2*c**2 + 4*c - 1. Let l be u(3). Let w = -5336/3 - -1780. Determine j so that 1/3*j**l + w*j + 1 = 0. -3, -1 Let z = 71423/26787 + 3/8929. Factor -1/3*j**2 + 10/3*j**3 - z*j + 1. (j + 1)*(2*j - 1)*(5*j - 3)/3 Let o be 2 + (3 - (-1 + 4)). Let f be (-7)/(-3) + 8/(-24). Factor 4*q + 2*q - 8*q**f + 11*q**o + 3. 3*(q + 1)**2 Suppose -5*f + 6*f = 8. Determine i so that -273*i**2 + 2*i**4 + 299*i**2 + f + 5*i + 12*i**3 + 19*i = 0. -2, -1 Let h(x) be the third derivative of -x**6/720 + x**5/60 + 13*x**3/2 - 30*x**2. Let n(k) be the first derivative of h(k). Factor n(y). -y*(y - 4)/2 Let n(v) be the second derivative of v**6/105 - v**5/35 - v**4/42 + 2*v**3/21 - 2*v - 50. Factor n(z). 2*z*(z - 2)*(z - 1)*(z + 1)/7 Factor 18/11*y - 2/11*y**3 + 6/11*y**2 + 10/11. -2*(y - 5)*(y + 1)**2/11 Let v = 25/57 - 11/285. Factor 0 + v*f**2 + 4/5*f. 2*f*(f + 2)/5 Suppose -4*l + 280 - 316 = -5*s, 24 = 2*s - 4*l. Suppose 20/3*f**3 - 2/3*f**s + 0 - 50/3*f**2 + 0*f = 0. What is f? 0, 5 What is r in -10*r**3 - 44 + r**4 + 24*r**3 - 181*r**2 - 4*r + 214*r**2 = 0? -11, -2, 1 Let r be 396/45 - 2/(-10). Let k(q) be the third derivative of 1/70*q**5 + 4/21*q**3 + r*q**2 + 0*q + 0 + 2/21*q**4. Suppose k(o) = 0. What is o? -2, -2/3 Let r(o) be the second derivative of -3*o**2 + 2*o + o**4 + 1 + 7/2*o**3. Solve r(i) = 0 for i. -2, 1/4 Let c(f) be the first derivative of -f**5/12 + 5*f**4/4 - 15*f**3/2 + 5*f**2 + 2. Let o(b) be the second derivative of c(b). Factor o(s). -5*(s - 3)**2 Let d(m) be the third derivative of 3/8*m**4 + 0*m - 1/20*m**5 - 42*m**2 + 0 - m**3. Factor d(c). -3*(c - 2)*(c - 1) Suppose v + 11 = 185*h - 183*h, -3*h + 3*v + 9 = 0. Solve -h + 8/3*n - 2/9*n**2 = 0. 6 Let d = -154 + 158. Let z(l) be the second derivative of 1/10*l**5 + 2*l**2 - l + 1/15*l**6 + 0 - 1/3*l**3 - 1/2*l**d. Factor z(y). 2*(y - 1)**2*(y + 1)*(y + 2) Let n be 1 + -4 + (-18)/(-6 - -4). Factor n*k**3 + 8 + 145*k**2 - 2 - 22*k - 135*k**2. 2*(k - 1)*(k + 3)*(3*k - 1) Let i(w) be the second derivative of -7*w**5/80 - 115*w**4/96 - 11*w**3/24 + w**2 - 18*w. Factor i(g). -(g + 8)*(2*g + 1)*(7*g - 2)/8 Let q(w) be the third derivative of -w**5/180 + 2*w**4/9 - 5*w**3/6 - 53*w**2. Factor q(f). -(f - 15)*(f - 1)/3 Suppose 7*y - 624 = -28*y - 17*y. Factor -6 - 3/8*j**4 + y*j - 9*j**2 + 3*j**3. -3*(j - 2)**4/8 Let v be 111/(5/(-12)*(-63)/14). Suppose 2/5*j**5 + v*j**2 + 64*j + 128/5*j**3 + 26/5*j**4 + 128/5 = 0. Calculate j. -4, -2, -1 Factor -t**5 - 36157*t - 4168*t**3 - 2*t**5 - 10718*t + 52500*t**2 - 1682*t**3 + 228*t**4. -3*t*(t - 25)**3*(t - 1) Let a(i) be the first derivative of i**5/4 + 7*i**4/8 - 2*i**3/3 - 7*i**2/4 + 3*i/4 - 652. Suppose a(t) = 0. Calculate t. -3, -1, 1/5, 1 Let h be (-4)/(-10) + (-104)/(-40). Suppose -7*z**3 - 3*z**4 - z**3 - z**h - 8*z**2 + 2*z**2 = 0. Calculate z. -2, -1, 0 Determine w so that -5*w**4 + 25*w**3 + 90 - 8*w**2 - 1026*w + 3*w**2 + 921*w = 0. -2, 1, 3 Solve 3/8*k**2 - 3 + 21/8*k = 0 for k. -8, 1 Let d(o) = -5*o**3 + 2*o**2 + 2*o + 2. Let f(i) = 110*i**3 - 45*i**2 - 45*i - 45. Let t(p) = -45*d(p) - 2*f(p). Solve t(v) = 0. 0 Let x = 118301/5 - 23641. Solve 16/5*c - 2/15*c**2 - x = 0 for c. 12 Let r(t) be the first derivative of -t**4/2 + 16*t**3/3 + 9*t**2 + 5. Factor r(u). -2*u*(u - 9)*(u + 1) Let a(k) be the second derivative of -k**7/3360 - k**6/120 - 2*k**4/3 - 3*k. Let i(u) be the third derivative of a(u). Find d such that i(d) = 0. -8, 0 Let a(x) = -x**3 - 8*x**2 - 25*x - 13. Let r(d) = -d**3 - 7*d**2 - 25*d - 14. Let b(o) = -4*a(o) + 3*r(o). Let n be b(-8). Factor -2/17*t**3 + 0 + 0*t + 0*t**n. -2*t**3/17 Let v(q) be the third derivative of q**7/105 - 3*q**6/40 + 3*q**5/20 + q**4/24 - q**3/2 - 9*q**2 + 6*q. Solve v(p) = 0 for p. -1/2, 1, 3 Let i(x) be the third derivative of 0*x + 1/672*x**8 + 0*x**3 - 1/30*x**5 + 1/48*x**4 + 1/40*x**6 - 8*x**2 + 0 - 1/105*x**7. Factor i(d). d*(d - 1)**4/2 Let t = 5/63 + -2/9. Let h = 4/21 - t. Factor 1/3*s + 0 - 1/3*s**3 - h*s**2 + 1/3*s**4. s*(s - 1)**2*(s + 1)/3 Suppose -36*b**2 - 4 + 3*b - 10*b**3 + 30 + 7*b**3 + 10 = 0. Calculate b. -12, -1, 1 Let o(d) be the second derivative of 0*d**5 - 1/10*d**6 + 14*d + 0 + 0*d**2 + 1/42*d**7 + 1/3*d**4 + 0*d**3. Factor o(a). a**2*(a - 2)**2*(a + 1) Let w(a) be the first derivative of -7*a**6/24 + 19*a**5/20 + 13*a**4/16 - 19*a**3/12 - 3*a**2/4 + 78. Find o such that w(o) = 0. -1, -2/7, 0, 1, 3 Let z be (-4)/50 - (574/410 - (-866)/(-450)). Let z*u - 2/9*u**2 + 0 = 0. Calculate u. 0, 2 Let o(u) be the first derivative of 2/3*u**3 - 2*u**2 + 0*u - 8 + 3/2*u**4. Factor o(y). 2*y*(y + 1)*(3*y - 2) Let i(f) be the second derivative of -f**4/15 - 22*f**3/15 - 56*f**2/5 - 85*f - 2. Factor i(x). -4*(x + 4)*(x + 7)/5 Let p = -93 + 44. Let d = p + 49. Factor 2/5*n**3 + 4/5*n**2 + 2/5*n + d. 2*n*(n + 1)**2/5 Let u = -10547/7 - -1507. Factor 2/7*x**3 + 0 + 0*x**4 + 0*x + 0*x**2 - u*x**5. -2*x**3*(x - 1)*(x + 1)/7 Let q(n) be the second derivative of 2*n**7/35 + 27*n**6/25 + 3*n**5 - 144*n**4/5 + 128*n**3/5 - 81*n - 2. Determine c so that q(c) = 0. -8, 0, 1/2, 2 Let n(p) be the third derivative of -1/72*p**4 + 3*p**2 + 0 + 0*p + 0*p**3 + 1/126*p**7 - 1/36*p**5 + 1/360*p**6. Find f, given that n(f) = 0. -1, -1/5, 0, 1 Suppose -7*k**2 + 12*k**2 + 21*k + 25 - 11*k + 20*k = 0. Calculate k. -5, -1 Let w(i) be the second derivative of 0 + 1/4*i**5 - 5/6*i**4 + 22*i + 5/6*i**3 + 0*i**2. Determine m so that w(m) = 0. 0, 1 Factor 0 + 2/11*j + 4/11*j**2 + 2/11*j**3. 2*j*(j + 1)**2/11 Let -2*w + 2*w**3 + 494*w**5 - 496*w**5 + 2*w**3 = 0. Calculate w. -1, 0, 1 Suppose 0*m + 6 = -3*m, 0 = 3*q + 5*m - 5. Let a = q - -1. Suppose 2*x - a*x**4 - 2*x - 3*x**5 + 3*x + 6*x**2 = 0. What is x? -1, 0, 1 Let l be (-226)/(-4) + (-1)/(-2). Suppose 56 = 4*j + 40. Solve 27*m**2 + 26*m**j + 22*m**4 + m**3 + l*m**3 + 14*m**3 = 0. -3/4, 0 Suppose 33*z = -20*z - 20*z + 9*z. Let i = -30 + 61/2. Solve i*v**5 + 0 + 1/2*v + z*v**4 + 0*v**2 - v**3 = 0 for v. -1, 0, 1 Factor -2/5*z**2 + 98/5 - 96/5*z. -2*(z - 1)*(z + 49)/5 Let z(w) be the first derivative of w**4/12 + 2*w**3/3 + 3*w**2/2 - 11*w - 9. Let m(v) be the first derivative of z(v). Factor m(o). (o + 1)*(o + 3) Let c be (5 - (-8 - -10))/1. Let o = 17 + -11. Factor -4*k**3 + 8*k**3 - 7*k**3 - 5*k**c - k + o*k**2. -k*(2*k - 1)*(4*k - 1) Let a(p) be the second derivative of -p**7/147 - p**6/1
{ "pile_set_name": "DM Mathematics" }
5/s - (-3 - -4). 40 Let q = 1820 + -18181/10. Calculate the common denominator of q and 49/12. 60 Let t = -77941/12 + 6500. Calculate the common denominator of -29/5 and t. 60 Let w = 3579 - 78849/22. Calculate the common denominator of w and 162/35*10/8. 154 Suppose 6*l + l = 63. Let z(f) = -f + 2. Let p be z(-3). Suppose 33 = p*x - 2*x. Calculate the lowest common multiple of x and l. 99 Let k = 2 - 0. Let h be 15 - -1 - 4/k. Calculate the common denominator of 53/12 and ((-11)/8)/(4/h). 48 Suppose -40 = -5*l - v, -3*v + 13 = -l + v. Calculate the smallest common multiple of 10 and l. 70 Let x = 4 - -4. Let h = 6 - x. Let o(a) = -2*a**3 + a**2 - 2. Calculate the lowest common multiple of o(h) and 14. 126 Let d(c) = 5*c - 2. Suppose 3*q + 4*p - 6 = -0*p, 5*q + 5*p - 10 = 0. Let n be d(q). What is the common denominator of -119/10 and 284/n*(-1)/(-2)? 20 Let k(b) = 8*b + 2. Let p(w) = -2*w**3 - 3*w**2 - w - 1. What is the least common multiple of p(-2) and k(1)? 10 Let g(h) be the third derivative of -h**6/120 - 3*h**5/20 - 7*h**4/24 + 5*h**3/3 - 2*h**2. What is the least common multiple of g(-8) and 2? 2 Suppose -1 = -p + 2. Calculate the lowest common multiple of 6 and p. 6 Suppose -35 = -5*s - 5*i, -5*i = -s - 6 - 5. Suppose 2*y = -0*y - t + 49, -2*t - 12 = -y. What is the smallest common multiple of y and s/(-10) + (-104)/(-10)? 110 Let h be (2 - 0) + 238/(-38). Let m = h - -1655/152. Calculate the common denominator of 4 + -1 - (-39)/(-22) and m. 88 Let p(n) = n**2 - 2*n + 2. Let k be p(3). What is the least common multiple of (-1)/(((-10)/12)/k) and 6? 6 Let z = -1365/2 + 698. Find the common denominator of -101/4 and z. 4 Let o be (-100482)/(-447)*(-3)/(-60). Let j = 9/149 + o. What is the common denominator of 9/2 and j? 10 Suppose 3*w + 2*n + 0 + 1 = 0, 4*w + 4*n + 4 = 0. Let q be ((-2)/(-4))/(w/(-596)). Find the common denominator of (-9)/(-6)*q/18 and -39/4. 12 Let n = -4782 + 47721/10. Let c = -1141/1287 - 1/429. Find the common denominator of n and c. 90 Suppose 26*q - 30*q + 100 = 0. Calculate the lowest common multiple of q and 10. 50 Calculate the smallest common multiple of 429/(-78)*(-12 + 0) and 18. 198 Suppose -4*z = -2*r - 14, -3*z + 14 = 5*r - 16. Let g = -25 - -47. What is the smallest common multiple of (-6)/z*(-10)/1 and g? 132 Let l be (-6)/(-45129)*1 - 0. Let p = 13183/13989990 + l. Let z = p - -2603/930. What is the common denominator of z and -2/9? 45 Suppose b = -0*b + 526923. Let d be -2 - -3 - b/178332. Let l = d - -1/5404. What is the common denominator of l and -29/14? 154 Let p = -153/4507 - -13396361/394357993. Let v = p - 10587415/1574982. Calculate the common denominator of 34/8 - 4 - (-410)/(-56) and v. 126 Let z(q) = 3*q. Let f be z(7). Find the common denominator of f/48*-1*22 and ((-4)/6)/((-20)/291). 40 Suppose 0 = 4*o + b - 44, -b = -2*o + 4*b. Suppose 4*x + 3*q = 60, q = -3*x + 40 - 0. Let m = x - 9. Calculate the smallest common multiple of o and m. 30 Suppose -s = -2*q - 3, 3*s + 2 = 2*q + s. Let c = q + 8. Suppose c = 3*g - 44. Calculate the least common multiple of 2 and g. 16 Suppose -2*p + 11 = 3*p - j, 4*p = 2*j + 4. What is the smallest common multiple of 22 and p + ((-1)/1 - 0)? 22 Let q = -3 + 6. Suppose -25 = -8*m + q*m. What is the lowest common multiple of m and 8/(-2)*(1 - 2)? 20 Let h = -9544824 + 171731729/18. Let w = h + 4180. Find the common denominator of w and 29/20. 180 Let t be 2/(-10) + 9/(-5). Calculate the common denominator of -3 + (-28)/(-8) - t and 53/10. 10 Let n = -217/40 + 17731/3320. Let u = 1612/415 + n. What is the common denominator of 40/9 and u? 45 Let z = -514 - -724. Calculate the common denominator of (-8)/(-28) - (-2019)/z and -33/20. 20 Let q = 21 + -17. What is the lowest common multiple of 7 and 30/q*10/15? 35 Let v = 11 - 6. Suppose 2*y + 3 = v*y. Let p(r) = r**2 + 1. Calculate the lowest common multiple of 22 and p(y). 22 Suppose 3*k + 5 = -2*k - 5*v, -3*v = 2*k + 4. Suppose k + 0 = g. Find the common denominator of -73/12 and 309/30 - (g + 0). 60 What is the least common multiple of 9 and -2 + 5 - 0 - (3 + -3)? 9 Let u(b) = -b**2 + b + 2. Let k be u(0). Let n = -5 + k. Calculate the smallest common multiple of n/(-2)*(-132)/(-18) and 7. 77 Let c = 7/1486 + -66155/5944. Calculate the common denominator of -31/10 and c. 40 Let z = -430 + 3002/7. Find the common denominator of 97/2 and z. 14 What is the least common multiple of (-58)/(-8) - 27/(-36) and 21? 168 Suppose -3*b = u - 19, b + 7 = 3*u - 0*u. Suppose 20 = b*o + 5*y - 20, 4*o + y = 23. What is the smallest common multiple of o and 11? 55 Calculate the common denominator of (12/160 + 0)*2 and -55/8. 40 Suppose -4*v - 2*g + g - 11 = 0, 6 = v + 2*g. What is the least common multiple of 14 and -15*2/(-3) + v? 42 Let s = -1793/5 - -353. Let k = -2009/130 + -3/65. Calculate the common denominator of s and k. 10 Let l = -59 - -90. Let q = l + -15. What is the smallest common multiple of q and 66/4 - (-2)/(-4)? 16 Let b be 2/4*-2*0. Suppose b*l = l - 9. Calculate the least common multiple of l and 13. 117 Let a = -1331/2 - -624. Calculate the common denominator of -85/8 and a. 8 Let j be 1 - (-1 - (-4)/2). Suppose -15*k - 530 = -68*k. Calculate the least common multiple of 4 - (j + 0 - 1) and k. 10 Let m(j) = 4*j - 16. Calculate the least common multiple of m(5) and 9. 36 What is the least common multiple of (5/(-25))/(1/(-5)) and 5? 5 Suppose 4*o - 250 = 46. Suppose -2*t + 0*t = o. Calculate the common denominator of -23/3 and t. 3 Let a(m) = -m**2 + 12*m - 12. Calculate the smallest common multiple of a(10) and 14. 56 Let x = -223951/22 - -10175. What is the common denominator of x and -91/16? 176 What is the common denominator of 7/33 and (-392)/(-147)*((-50)/(-56) + 0)? 231 Let h = 106 + -92. Let z(m) = 5*m**2 + 2*m - 2. What is the lowest common multiple of z(-2) and h? 14 Suppose 3*r - f + 6*f - 13 = 0, 3*f = -3*r + 21. What is the smallest common multiple of r and 10? 110 Let b(n) = n + 6. Let o = -9 - -18. Calculate the lowest common multiple of o and b(0). 18 Let n = 3/112 - 7121/336. Find the common denominator of 32 and n. 6 Suppose -3*p = 4*b - 81, -b + 6 = -7*p + 3*p. Suppose 3*h + 3 = 33. Calculate the least common multiple of h and b. 90 Let z = 248/13 - -661/26. Calculate the common denominator of z and (108/16 - 7) + (-446)/72. 18 Let t = -2650 + 58345/22. Calculate the common denominator of t and 138/(-99)*(-9)/12. 22 Let c(x) = x**2 - x + 137. Let s be c(0). Calculate the common denominator of -81/10 and 3/15 + s/(-35). 70 What is the lowest common multiple of (-4 + -14)*(-4)/6 and 18? 36 Let l = 600/13 + -14714/325. What is the common denominator of -17/5 and l? 25 Let y = -11 - -7. What is the smallest common multiple of 4 and (-1 - -2) + (-12)/y? 4 Let g(x) = -x**3 - x**2 + x - 5. Let y be g(0). Let v be ((-262)/8)/(7/(-28)). Calculate the common denominator of v/(-12) - (5 + y) and -149/12. 12 Suppose -7 = -3*g + 20. Calculate the lowest common multiple of 2 and g. 18 Let t = -61 + 63. What is the least common multiple of t and 14? 14 Let t(d) = 2*d**2 - 20*d + 22. Calculate the lowest common multiple of t(10) and 2. 22 Suppose 3 + 11 = 2*i. Let t be (10/(-15))/((-2)/51). Suppose -2*z + 0*v = 5*v + 4, -t = -5*z + v. What is the least common multiple of i and z? 21 Let k be 2/(-2) + 33 + -2. Find the common denominator of 10/(-24)*436/k and (-2)/(-5) - (-45849)/(-6960). 144 Suppose -4*y - 3*n + 51 = 0, 3*n - 6*n + 3 = 0. Calculate the least common multiple of y and 33. 132 Let y = -124 + 126. What is the lowest common multiple of y and 4? 4 Suppose 25 = -0*b + b + 4*t, 0 = -2*b + 5*t - 2. Suppose 2*o = 7*o - 20. What is the least common multiple of o and b? 36 Calculate the common denominator of -47/189 and (0 - (1 + 0))*(-238)/49. 189 What is the common denominator of -137/18 and -3 + (-66)/(-4) - 4? 18 Calculate the smallest common multiple of 28/6 - 8/12 and 4. 4 Suppose -17 = -3*j + 55. Calculate the least common multiple of 24 and j. 24 Let l = -46 + 78. What is the least common multiple of l and 10? 160 Let q = 3 - 8. Let w be (-39)/15 - (-2)/q. Calculate the common denominator of w/36*(-438)/(-4) and 24/7. 56 Let n = 20 - 10. Let t(q) = -q**2 + 3*q. What is the least com
{ "pile_set_name": "DM Mathematics" }
0*k**3 Let w(o) be the first derivative of 0*o**5 - 21 - 3*o - 1/2*o**4 - 4/7*o**7 + 0*o**2 + 10/3*o**3 + 0*o**6. Find the third derivative of w(h) wrt h. -480*h**3 - 12 Let k(x) be the third derivative of x**10/25200 - x**6/720 + x**5/5 + 16*x**2. Let d(y) be the third derivative of k(y). What is the derivative of d(m) wrt m? 24*m**3 Suppose -2*b = -8*m + 5*m + 13, -28 = 4*b - 4*m. Let x be 18/4 + b/16. Find the second derivative of 4*q**5 + x*q + 2 - 2 - 2*q wrt q. 80*q**3 Let f(i) = -3*i**2 + 0*i**2 + 4*i**2 - 7. Let t(x) = 6. Let b(l) = -1. Let m(r) = 5*b(r) + t(r). Let u(s) = f(s) + 4*m(s). Differentiate u(z) wrt z. 2*z Let o be (-1)/(-4) - (95/(-20) - 1). What is the third derivative of -686*q - q**4 + o*q**2 + 686*q wrt q? -24*q Let u(g) be the second derivative of -g**7/21 - 3*g**4/2 + 57*g**3 + 4*g - 68. What is the second derivative of u(w) wrt w? -40*w**3 - 36 Let c(p) be the first derivative of -209*p**2 - 538*p + 482. Differentiate c(d) wrt d. -418 Differentiate 3*t**3 - 37 + 5*t**3 - 25*t**3 - 26*t**3 wrt t. -129*t**2 Let b = -2 - -5. What is the second derivative of 11*x**5 - 28 - b*x + 6*x + 28 wrt x? 220*x**3 Let h(u) be the first derivative of u**5/5 - 15*u**4/4 + 68*u - 4. What is the derivative of h(f) wrt f? 4*f**3 - 45*f**2 Let p = 9 - 21. Let v = 18 + p. Differentiate -233*c + 233*c + 3*c**4 - v with respect to c. 12*c**3 Let c(r) = 315*r**6 + 5*r**5 + 318*r**2 + 5. Let y(m) = -158*m**6 - 3*m**5 - 159*m**2 - 3. Let i(v) = -3*c(v) - 5*y(v). Find the third derivative of i(d) wrt d. -18600*d**3 Let q(o) be the first derivative of -38*o**6 + o**3/3 + o**2/2 - 109. Find the third derivative of q(v) wrt v. -13680*v**2 What is the second derivative of -146 - 143 + 289 - 90*i**4 + 646*i - 35*i**4 wrt i? -1500*i**2 Let o = 14 + -11. Find the third derivative of 7*n**2 + o*n**2 + 3*n**2 - 9*n**5 wrt n. -540*n**2 Let u(o) = o**4 + 11*o**2 - 10*o. Let s(w) = 4*w**2 - 3*w. Let g be 20/56*30 - 2/(-7). Let n(q) = g*s(q) - 4*u(q). What is the second derivative of n(k) wrt k? -48*k**2 Let a(n) = -3*n - 12. Let m be a(-4). What is the second derivative of m*z + 22*z**3 - 12*z - 12*z**3 - 7*z**3 wrt z? 18*z Let g be (-2 - (-42)/15)*55. What is the derivative of g*t + 56*t + 7 - 89*t wrt t? 11 What is the second derivative of 21 - 2*m + 7 + 10 + 269*m**3 - 10 + 7*m wrt m? 1614*m Find the third derivative of -235*n**3 + 8579 - 245*n**3 - 8575 - 11*n**2 wrt n. -2880 Find the third derivative of -3*r**5 - 166*r**2 + 2*r**5 + r**3 + 16*r**5 + 4*r**5 + 2*r**5 wrt r. 1260*r**2 + 6 Let m(d) = d**3 - d**2 - 1. Let z = 39 - 43. Let y(i) = 8*i**3 + 4*i**2 + 7*i + 4. Let w(a) = z*m(a) - y(a). Find the second derivative of w(j) wrt j. -72*j Let z(r) = 0*r**2 - 13*r**2 - r**3 - 13*r - 1 - 2. Let f be z(-12). What is the second derivative of 11*j + 7*j - f*j + 5*j**3 wrt j? 30*j What is the third derivative of -40*p**6 + 270*p**2 - 145*p**6 + 16*p**2 - 15*p**6 - 3*p**2 wrt p? -24000*p**3 Let k(q) be the first derivative of q**7 - q**6/3 - 427*q**3/3 - 360. Find the third derivative of k(s) wrt s. 840*s**3 - 120*s**2 Let h(r) = -r. Let y(n) = -14*n + 16. Suppose -f + 4 = 0, -3*s + s + 2*f - 18 = 0. Let q(z) = s*h(z) + y(z). What is the first derivative of q(b) wrt b? -9 Let z(o) be the second derivative of 6*o + 1/2*o**4 + 0*o**3 - 9/2*o**2 + 0. Differentiate z(t) wrt t. 12*t Let i = 17 - 15. Find the third derivative of -2375*k**4 + 2375*k**4 - 19*k**5 - 8*k**i wrt k. -1140*k**2 Let o(g) be the first derivative of 3*g**5/5 + 2*g**2 + 6*g - 5. Let q(s) be the first derivative of o(s). Find the first derivative of q(i) wrt i. 36*i**2 Find the first derivative of 74*h**4 + 109*h**4 + 179 + 27*h**4 + 68*h**4 wrt h. 1112*h**3 Find the third derivative of 40*l**3 - 10*l**3 + 41*l**2 - 7*l**3 + 85*l**3 wrt l. 648 Suppose 0*b - 14 = -3*k - 2*b, 0 = 2*k - b. What is the second derivative of -21*c**2 + 8*c + c**4 + 21*c**k + c**4 wrt c? 24*c**2 Let l(i) = 17*i**4 + 2*i**3 + 179*i - 2. Let z(r) = 17*r**4 + 3*r**3 + r**2 + 179*r - 3. Let n(d) = 3*l(d) - 2*z(d). Find the second derivative of n(a) wrt a. 204*a**2 - 4 Let a(x) = -222*x**3 - 2*x**2 + 3*x - 181. Let s(u) = 221*u**3 + 3*u**2 - 4*u + 179. Let r(z) = -3*a(z) - 2*s(z). Find the second derivative of r(d) wrt d. 1344*d Let i be ((-15)/20)/((-12)/32). Find the third derivative of -2*b**2 + 3*b**i + 2*b**4 - 4*b**4 wrt b. -48*b Find the third derivative of -2*d**3 + 7*d**3 - 3*d**2 + 9*d - 6*d**3 - 147*d**4 wrt d. -3528*d - 6 What is the derivative of -123 - 4*z - 299*z**2 - 109 + 297*z**2 wrt z? -4*z - 4 Let r(o) = o. Let s be r(2). Suppose 4 = -a + s*a. What is the third derivative of a*y**2 - 44*y**5 + y**2 + 48*y**5 wrt y? 240*y**2 Let c(f) be the second derivative of -133*f**4/12 + 106*f**2 + 222*f. What is the derivative of c(r) wrt r? -266*r Let c(h) = 45*h**2 + 70*h - 5. Let f(l) = 9*l**2 + 14*l - 1. Let i(u) = -4*c(u) + 22*f(u). Find the second derivative of i(p) wrt p. 36 Let p = -79 - -112. Let i(l) = l - 3. Let m(k) = -15*k + 48. Let h(q) = p*i(q) + 2*m(q). Differentiate h(t) with respect to t. 3 Let d(h) be the third derivative of 59*h**5/60 + 17*h**3/6 + 48*h**2. What is the first derivative of d(f) wrt f? 118*f Let i(u) = -u**3 - 11*u**2 - 18*u + 3. Let f be i(-9). Let o be (3 - 5)*(-2)/1. What is the derivative of 18 - 10 + o - c**f wrt c? -3*c**2 Let u(r) be the third derivative of r**9/378 - r**6/15 - 14*r**3/3 + r**2. Let q(i) be the first derivative of u(i). What is the third derivative of q(x) wrt x? 480*x**2 Suppose 2*f - 12 = -4*n, 0 = 3*f - n - n - 42. What is the second derivative of 137*y + f*y**5 - 3*y**5 - 166*y wrt y? 180*y**3 Let f(z) be the third derivative of 0*z**3 - 8*z**2 + 0 + 0*z**4 + 0*z - 3/20*z**5 - 11/210*z**7 + 0*z**6. What is the third derivative of f(p) wrt p? -264*p Let p(l) = 499*l**3 + 54*l**2 - l - 4. Let t(q) = 997*q**3 + 108*q**2 - 3*q - 10. Let u(b) = 5*p(b) - 2*t(b). What is the third derivative of u(k) wrt k? 3006 Let x be 2/(-6) + 50/15. Let k be x/(-2)*(-2 - 0). Find the third derivative of -d**3 + 2*d**3 + 5*d**2 - 6*d**k wrt d. -30 Let a(d) be the third derivative of 21*d**5/20 - 47*d**4/24 + d**3/6 + 23*d**2. What is the second derivative of a(y) wrt y? 126 Let c = 227 + -48. What is the second derivative of 179*r**2 + 11*r - c*r**2 + 3*r**3 wrt r? 18*r Let c be ((-2)/5)/((-3)/15). Suppose -2*l - c*l = -3*s - 183, -3*l + 140 = -5*s. What is the third derivative of 2*o + l*o**2 - 2*o - 5*o**4 - 34*o**2 wrt o? -120*o Let y(r) be the third derivative of -85*r**6/24 - 160*r**3/3 + 309*r**2 - r. Differentiate y(x) wrt x. -1275*x**2 Differentiate 25 - 42*y**2 - 8*y + 63*y**2 + 121 - 33*y**2 + 11 wrt y. -24*y - 8 Suppose 143*t = 134*t. Let k(o) be the third derivative of 0*o + t*o**5 + 0*o**4 - 1/60*o**6 + 0 - 1/2*o**3 + 5*o**2. What is the derivative of k(u) wrt u? -6*u**2 Let c(b) be the third derivative of b**7/28 - b**4/2 + 5*b**3/6 - 19*b**2. Let r(j) be the first derivative of c(j). Differentiate r(k) wrt k. 90*k**2 Let a(w) be the third derivative of 27*w**6/20 - w**4/24 - 23*w**3/6 - 4*w**2. Differentiate a(b) with respect to b. 486*b**2 - 1 What is the third derivative of 25*w**4 + 48821*w**2 - 48823*w**2 - 6*w**3 + 224 + 32*w**4 wrt w? 1368*w - 36 Let u be (-126)/(-30) - 1/5. Let g = -2 - -4. What is the third derivative of -3*x**4 + x**g + 2*x**2 + 0*x**4 - 2*x**u wrt x? -120*x Let q(a) = 25*a**3 + 103*a**2 + 4*a - 4. Let l(p) = -24*p**3 - 104*p**2 - 3*p + 3. Let h(i) = 4*l(i) + 3*q(i). Find the third derivative of h(x) wrt x. -126 What is the second derivative of 16*h - 2*h + 4*h - 96*h - 202*h**2 - 2*h**3 - 137*h wrt h? -12*h - 404 What is the derivative of -90*x**2 - 126 + 18 - 213 - 4*x - 436 - 128 wrt x? -180*x - 4 Let m(a) be the second derivative of 15*a**8/7 - 71*a**4/12 - 2*a. Find the third derivative of m(w) wrt w. 14400*w**3 Let v(q) be the first derivative of -18*q**5/5 - 41*q**2/2 - 76. Find the second derivative of v(z) wrt z. -216*z**2 Let a(q) = -25*q**3 - 3*q + 130. Let d(r) = 325*r**3 + 40*r - 1690. Let y(c) = -40*a(c) - 3*d(c). Differentiate y(h) wrt h. 75*h**2 Let m(u) be the second derivative of 0*u**3 - 5/4*u**5 - 30*u + 0*u**4 + 19/2*u**2 + 0. What is the first derivative of m(a) wrt a? -75*a**2 Let r = 18 + -7. Suppose 3*
{ "pile_set_name": "DM Mathematics" }
lect the terms in -12 + 2*y**3 + 29 - 17 - 5*y**3. -3*y**3 Collect the terms in -3*j**3 - j**3 + 5*j**3. j**3 Collect the terms in 16*x**2 - 7*x**2 - 12*x**2. -3*x**2 Collect the terms in 17*p + 5*p - 39*p + 11*p + 5*p. -p Collect the terms in -3 - 1 + 7 - 3 - 4*q**2. -4*q**2 Collect the terms in 12*u**2 - 36*u**2 - 29*u**2. -53*u**2 Collect the terms in 26 + 5 - 3*t**3 + 12 - 43. -3*t**3 Collect the terms in -2*x**3 + 3*x**3 + 4*x**3 - 6*x**3. -x**3 Collect the terms in 447 + y**3 - 447. y**3 Collect the terms in 20*d - 10*d - 6*d - 2*d. 2*d Collect the terms in -11*f + 12*f - 3*f. -2*f Collect the terms in 7*s**3 - 53544*s**2 + 53544*s**2. 7*s**3 Collect the terms in -8*h**3 + 27714 - 27714. -8*h**3 Collect the terms in z**2 - z**2 - 284*z + 3*z**3. 3*z**3 - 284*z Collect the terms in 296 + 5*n - 296. 5*n Collect the terms in 2*l - 3*l + 0*l - 190*l**2. -190*l**2 - l Collect the terms in -48 + 48 + 4*u. 4*u Collect the terms in -7*s**3 + 2*s**3 - 29 + 67 - 38. -5*s**3 Collect the terms in -667*v**2 + 1327*v**2 - 661*v**2. -v**2 Collect the terms in -9*n**2 - n**2 + 4*n**3 + 4*n**2. 4*n**3 - 6*n**2 Collect the terms in 2*o**2 - 2*o**2 - 103*o**3 + 39*o**3 + 62*o**3. -2*o**3 Collect the terms in 7*a + 14 - 4 - 2*a. 5*a + 10 Collect the terms in -2*v**3 + 12*v**3 + 8*v**3 - 3*v**3. 15*v**3 Collect the terms in i**3 - 5*i**3 + 16*i**3. 12*i**3 Collect the terms in -239*w - 431*w + 104*w. -566*w Collect the terms in -846*v**3 + 433*v**3 + 412*v**3. -v**3 Collect the terms in 15*w**3 - 12*w**3 + 7*w**3 - 9*w**3. w**3 Collect the terms in 35*o - 35*o + 145*o**2. 145*o**2 Collect the terms in -4*y**2 - 36*y**2 + 6*y**2. -34*y**2 Collect the terms in -1021*c**2 + 2052*c**2 - 1022*c**2. 9*c**2 Collect the terms in -6*p**2 + 9*p - 9*p + 3*p**2 + 17*p. -3*p**2 + 17*p Collect the terms in -7*g + 4*g + 5*g + g. 3*g Collect the terms in 9 + 32*c - 67*c + 30*c - 9. -5*c Collect the terms in 650 - 650 + 5*l**2. 5*l**2 Collect the terms in 126 - 126 - 2*s. -2*s Collect the terms in -364*c**3 + 736*c**3 - 370*c**3. 2*c**3 Collect the terms in -27*u + 16*u + 9*u. -2*u Collect the terms in -7*c**2 - 2*c - 4*c - c**2 + 4*c**2. -4*c**2 - 6*c Collect the terms in 14*p**3 - 66*p + 31*p + 35*p. 14*p**3 Collect the terms in 7*t + 16*t - 6 + 5. 23*t - 1 Collect the terms in 2853*f - 2863*f + 2 - 2. -10*f Collect the terms in 4*k + 0*k + 9*k + 429. 13*k + 429 Collect the terms in 5*y**2 + 2*y**2 - 3*y**2. 4*y**2 Collect the terms in 0*r**3 - 3*r**2 + 3*r**2 - 8*r**3. -8*r**3 Collect the terms in -11*s - 15*s + 26*s + 2*s**2. 2*s**2 Collect the terms in -12*u + 6*u + 11*u. 5*u Collect the terms in -22 - 4*i + 22*i + 22. 18*i Collect the terms in -4*p**3 + 0*p**3 - 9*p**3 + 10*p**3. -3*p**3 Collect the terms in -3 - 8 - 10*p + 11. -10*p Collect the terms in -7*j**3 - 14*j**3 - 10*j**3 + 20*j**3. -11*j**3 Collect the terms in 17*y - 126*y + 4 - 4. -109*y Collect the terms in -2*c + 58*c**2 - 62*c**2 + 2*c. -4*c**2 Collect the terms in -5*f + 65*f**2 + 5*f - 70*f**2. -5*f**2 Collect the terms in -25*n - 18*n - 4*n + 11*n. -36*n Collect the terms in -9750*k + 9750*k + 2*k**2. 2*k**2 Collect the terms in 26*a - 18*a + 8*a. 16*a Collect the terms in 37*b**2 + 36*b**2 - 109*b**2 + 33*b**2. -3*b**2 Collect the terms in -3*p**3 - 21*p - 22*p - 31*p + 74*p. -3*p**3 Collect the terms in 559615*n - 559615*n + 11*n**2. 11*n**2 Collect the terms in 4*u**2 - 4*u**2 + 9*u**3. 9*u**3 Collect the terms in a**2 + 3*a**2 - 2*a**2 - 6*a**2. -4*a**2 Collect the terms in -17*a**2 - 4 + 4 - 1. -17*a**2 - 1 Collect the terms in -15 + 24 + 14*h - 9. 14*h Collect the terms in 2*t - 12813 + 12813. 2*t Collect the terms in 56*t**3 - 292*t**3 - 508*t**3 + 5*t**3. -739*t**3 Collect the terms in 2*p + 1946*p**3 - 1934*p**3 - 2*p. 12*p**3 Collect the terms in -16 - 6 - t + 22. -t Collect the terms in -7*f**2 + 19*f**2 - 21*f**2. -9*f**2 Collect the terms in -2*f**3 + 10*f**3 - 2*f**3 - 3*f**3. 3*f**3 Collect the terms in -3*o + 16*o - 4*o + 13*o. 22*o Collect the terms in 13*h**2 + 30*h**2 + 3*h**2. 46*h**2 Collect the terms in 11*w**3 - 10*w**3 - 8*w**3. -7*w**3 Collect the terms in 5*u + 0 + 0*u + u - 4 - 1. 6*u - 5 Collect the terms in -21190*t + 21190*t + 3*t**2. 3*t**2 Collect the terms in j + 4 + 11 - 15. j Collect the terms in -3*j**3 + 207*j - 3*j**3 - 207*j - 2*j**3. -8*j**3 Collect the terms in -55*z + 26*z + 26*z. -3*z Collect the terms in 2411 + 19*d**2 - 7*d**2 + 2413 - 4824. 12*d**2 Collect the terms in -158*c**2 - 4*c + 155*c**2 + 4*c. -3*c**2 Collect the terms in 4*p**2 - 22*p**2 - 18*p**2. -36*p**2 Collect the terms in -75*w - 1 + 3 + 5 - 5. -75*w + 2 Collect the terms in -11*g - 56 - 10 + 16. -11*g - 50 Collect the terms in -44*c - 5129 + 5129. -44*c Collect the terms in -4*k + k + 6*k. 3*k Collect the terms in 34*d - 9 + 9. 34*d Collect the terms in 14*g - 138 - 46*g + 20*g + 14*g. 2*g - 138 Collect the terms in -6*o**3 - 37607*o**2 + 37607*o**2 + 13*o**3. 7*o**3 Collect the terms in 9*o**2 - 2*o**3 + 2*o**3 - 2*o**3. -2*o**3 + 9*o**2 Collect the terms in 19*n**2 - 6*n**2 - 826*n**3 - 13*n**2. -826*n**3 Collect the terms in 127*m - 113*m - 18 + 18. 14*m Collect the terms in -6*f**2 + 5*f**2 + 5*f**2 + f**2. 5*f**2 Collect the terms in 3*p**3 + p**2 + 4*p**3 + 2*p**2. 7*p**3 + 3*p**2 Collect the terms in -7*z**3 + 0*z**3 + 14*z**3 - 9*z**3. -2*z**3 Collect the terms in x**2 + 4*x**2 - 8*x**2 + x**3 + 3*x**2. x**3 Collect the terms in 114*w**2 + 105*w**2 - 224*w**2. -5*w**2 Collect the terms in -v**2 - 41 + 2916*v + 41 - 2916*v. -v**2 Collect the terms in 6*s - 6*s - 64*s**3 + 68*s**3. 4*s**3 Collect the terms in 6*u - 11*u - 11*u - 3*u. -19*u Collect the terms in -45*i**3 + 27 - 27. -45*i**3 Collect the terms in -20*f**2 + 30*f**2 + 38*f**2. 48*f**2 Collect the terms in 5*c + 8*c + 3*c. 16*c Collect the terms in 3 - 10*f**2 + 11*f**2 + 10*f**2. 11*f**2 + 3 Collect the terms in -12*i**3 + 39*i**3 + 2 - 2. 27*i**3 Collect the terms in 21*m + m + 6*m + 9*m. 37*m Collect the terms in 19*u - 59*u + 19*u. -21*u Collect the terms in -108*d**2 + 52*d**2 + 47*d**2. -9*d**2 Collect the terms in -18*y + 111*y - 15*y - 37*y. 41*y Collect the terms in 40018 + l**2 - 40018. l**2 Collect the terms in 0*p**3 + 3*p**3 - p**3 - 4*p**3 + 0*p**3. -2*p**3 Collect the terms in 18*w**3 - 5*w**3 - 6*w**3 - 2*w**3. 5*w**3 Collect the terms in -87 - 9*o**2 + 87. -9*o**2 Collect the terms in 8*w**3 + 7816 - 7816. 8*w**3 Collect the terms in 11*u**3 - 2 + 8*u**3 + 2. 19*u**3 Collect the terms in -151*z + 467*z - 153*z - 161*z. 2*z Collect the terms in 152*t - 449*t + 149*t + 149*t. t Collect the terms in -3*v + 3*v + 26*v**2 - 28*v**2 + 0*v. -2*v**2 Collect the terms in 3*b**2 + 19*b - 46*b + 16*b. 3*b**2 - 11*b Collect the terms in 4*s**2 - 7*s**2 + 8*s**2. 5*s**2 Collect the terms in 18*g + 2*g - 12*g. 8*g Collect the terms in -4*y**3 + 6*y**3 + 3*y**3 + 6*y**3. 11*y**3 Collect the terms in 6*y**2 + 15*y**2 - 26*y**2 + 19*y**2. 14*y**2 Collect the terms in -8*u + 1 + 0 - 2 - 1. -8*u - 2 Collect the terms in 11*n - 24*n + 0*n + 2*n**2 + 13*n. 2*n**2 Collect the terms in 15*r**2 - 24*r**2 - 24*r**2. -33*r**2 Collect the terms in 6*n**2 - 12*n + 12*n - n**2. 5*n**2 Collect the terms in -131*y - 5 + 5. -131*y Collect the terms in -63*y**2 + 134*y**2 - 69*y**2. 2*y**2 Collect the terms in 432*j**3 - 3704*j - 431*j**3 + 3704*j. j**3 Collect the terms in -16 - 121*o**2 + 27 - 11. -121*o**2 Collect the terms in -437*h + 203*h + 218*h. -16*h Collect the terms in -21*s**2 - 17*s**2 + 42*s**2 - 20*s**2. -16*s**2 Collect the terms in 37966 + i - 37966. i Collect the terms in -81*i + 83*i - i. i Collect the terms in y - 344 + 171 + 173 - 2*y. -y Collect the terms in -49*k - 11*k**2 + 2*k**2 + 49*k. -9*k**2 Collect the terms in -5*k**2 + 4*k**3 + 3*k**3 + 3*k**2 + 12*k**2. 7*k**3 + 10*k**2 Collect the terms in -45*t + 2 + 0 - 4. -45*t - 2 Collect the terms in -6*b + 131 - 263 + 132. -6*b Collect the terms in -32*a - 2*a + 4*a. -30*a Collect the terms in q**3 - 3*q**3 + 9 + 0*q**3. -2*q**3 + 9 Collect the terms in -8*k**3 - 13*k**3 + 8*k**2 + 20*k**3 - 2*k**2. -k**3 + 6*k**2 Collect the terms in 2 - d - 6*d - 2. -7*d Collect the terms in -c**2 - 3*c + 3*c + 9*c**2. 8*c**2 Collect the terms in -10*k**2 - k**2 - 2*k**2. -1
{ "pile_set_name": "DM Mathematics" }
-5*w + 2*q + 1036. Do 206 and w have the same value? True Suppose -181 + 73 = 4*u. Let j be 1*(1 + 4 + 330). Suppose 14*v + 71 + j = 0. Which is smaller: v or u? v Suppose 46096 = 10*s + 13166. Which is greater: s or 3291? s Let s be -4*(-7)/((-252)/(-6381)). Suppose -716*x = -s*x. Let h be 25/84 + 1/(-3). Is x smaller than h? False Let m = -1834 - 6472. Is -8305 less than m? False Let p(c) = 7*c**2 - c - 2. Let i(w) = -w - 7. Let x be i(-6). Let j be p(x). Let b be (1 - 3)/j*-3. Are b and 2/51 equal? False Let z be ((-1)/(-4))/(80/(-1120)). Are 3.23 and z equal? False Let t be (3 - 2)*0/(-1). Suppose t = 3*m - 50 - 4. Is 20 < m? False Let g be 1/(-9) - (344/860)/(18/(-101705)). Do 2253 and g have different values? True Let u(f) = 50*f - 43. Let g(y) = -498*y + 432. Let r(c) = -4*g(c) - 42*u(c). Let l be r(-3). Which is smaller: 401 or l? 401 Let t be (80/528 + (-11)/((-121)/2))*-3. Is -1/3531 > t? True Suppose 0 = -26*s + 29*s - 306. Suppose 3*c - c = 12. Let k be s/(-20) - c/(-10). Is -6 > k? False Suppose 0 = -i + 7*i - 6. Let s = 2707/6 + -449. Is s not equal to i? True Let w be 1299*(-152)/57 - 22. Is w greater than -3489? True Suppose -2 = -2*f + 2*u, 4 = -2*f - u + 3. Suppose -3*v + 4 + 29 = f. Suppose -2*w = g - v + 1, 3*w - 15 = 0. Which is bigger: g or -9/11? g Let o = -11889 + 12344. Which is bigger: 453 or o? o Suppose 0 = -51*n - 30*n - 39771. Which is smaller: n or -489? n Suppose -36 = -2*y - n - n, -2*y + 3*n = -26. Let r be (520/y)/(-13)*(-24)/5. Which is greater: 6 or r? r Suppose -2*k + 20 = 5*p, 4*p = -5*k + 11 + 5. Are -60/107 and k non-equal? True Let d = -552 + 592. Let s = 3 - 4. Let j be 55/d - (-1)/s. Which is smaller: 1 or j? j Let r(p) = p**2 + 0*p - 55*p**3 + p - 2*p**2 + 1 + 70*p**3. Let x be r(-1). Let l = 16 + x. Is 0.5 > l? True Let l = -0.0174 + -6.8026. Let b = l - -6.92. Is -16 smaller than b? True Let f = 1330 - 1336.01. Let g = 0.71 + f. Let w = g + -4.7. Do 2 and w have the same value? False Let d be ((-1)/4)/((-61)/244). Is d > 1/4772? True Suppose v - 120 = -56 + 344. Is v equal to 8? False Let b be 4/(-2) - (3 + 3). Let n(d) = 3*d - 39. Let r be n(13). Suppose r = 4*o - 5*o - 8. Is b greater than or equal to o? True Suppose 4*x + 6 = -3*p, 2*x + 0*x = 2*p + 4. Let v(y) = y**3 + 7*y**2 + 8*y + 2. Let r be v(p). Let m(g) = -6*g + 8. Let o be m(r). Is -29 != o? True Let j(o) = -30*o**2 - 69*o - 650. Let d be j(-8). Does -14130/7 = d? False Let x(k) = -97*k + 680. Let n be x(7). Let f = 20 - 8. Let z be (2/(-52))/((-6)/f). Is z less than n? True Let t(n) = n**2 + 13*n - 51. Let h be t(-18). Let j = -57 + h. Is -4 not equal to j? True Let h be (36/5346)/((984/(-9))/(-4)). Which is greater: h or 1? 1 Let b(i) = -96*i + 12003. Let m be b(52). Is 7011 equal to m? True Let z(k) = k**2 + 16*k + 38. Let t be z(-14). Let u(m) = 2*m - 19. Let r be u(t). Is -97 not equal to r? True Suppose -20670*a - 189 = -20643*a. Which is smaller: a or 0.072? a Let z = -243 - -248. Suppose -4*o - 505 = z*y, -2*o - 303 = 3*y - o. Which is smaller: y or -100? y Let y(t) = -284*t**3 - 2*t**2 - 12*t - 11. Let s be y(-1). Is 0.2 less than or equal to s? True Let m = 100 + 624. Let o = 738 - m. Which is smaller: o or 22? o Let d be ((-2)/4)/(4/((-48)/3)). Suppose -d*i + 36 = 2*f, 2*i + 0*i = 4*f - 42. Do f and 168/13 have the same value? False Let j = -121 - -121.7. Let k = -22 - -30. Let r = 6 - k. Is r != j? True Let s be (-1015)/(-2) - (-147)/42. Which is smaller: s or 515? s Suppose -6*j = -13 - 5. Let l be (1/j*0)/3. Suppose 2*v = 3*v - 2, 4*w - 4*v + 8 = l. Do w and -9/8 have the same value? False Let j = 1.76 - 0.12. Let z = 1.62 - j. Is z greater than 0.1? False Let d(b) = -61*b + 793. Let k be d(13). Which is greater: k or -2/2719? k Suppose -5*n + 2*j - 2159 = 0, -222 = -2*j - 228. Is -431 at least n? True Let b be (-36)/(-12)*(0 + (-462)/(-279)). Are b and 4 unequal? True Let o = 1339/92158 - 14/649. Suppose -2*q + 7*q = g + 1, -3*q + 5 = -5*g. Which is greater: o or q? q Let z = -115 - -120. Let l(p) = p**2 + 3*p - 36. Let d be l(z). Is 5 != d? True Suppose -14*t - 415 + 118 = -25*t. Suppose 2*p = -2*x - x + 40, -4*x - 16 = 0. Is t > p? True Let i = -527 - -531. Let f(t) = t**3 - 3*t**2 - 4*t + 2. Let u be f(4). Suppose u*s = i*s - s. Which is greater: s or 1/6? 1/6 Let g be 8 + (-6 - (-7 - -5)). Suppose -43 = 2*c + g*b + 53, b = 4*c + 183. Is c >= -48? True Let m = 99.4403 + 0.5597. Is m not equal to 19/11? True Let m be 290941/(-890) - 2/20. Which is smaller: -329 or m? -329 Let c be ((-36)/8 - -5)*52. Let v be (-4)/c - (-84)/(-130). Is v at least 10? False Let x(n) be the first derivative of 11*n**2/2 + 9*n + 9. Let j be x(3). Suppose 0 = -3*y + 3*m - 8 + 50, -j = -3*y + 2*m. Which is smaller: y or 12? 12 Let k = -6 - -14. Suppose 0 = y + 2*h + 6, -4*y + 2*h = -0*h + 24. Let i be 3/1 + ((-14)/y)/(-1). Which is smaller: i or k? i Let k = -429 - -4289/10. Let i = 426 - 419. Which is smaller: i or k? k Let h(x) = -2*x + 2. Let v(z) = 11*z + 92. Let q(m) = h(m) - v(m). Let y be q(-7). Which is greater: y or 11? 11 Let y(j) be the third derivative of -j**4/24 - j**3 - 8*j**2. Let u be y(-6). Suppose u = -s + 6*s. Which is greater: -27 or s? s Let m be (1 - 6/(-18))/((-6)/(-9)). Let g be (m/(-3))/(60/810). Suppose -1 - 44 = 5*w. Does w = g? True Let f = -297/62 - -119123/24738. Which is smaller: f or -1? -1 Let l be (-2721)/(3763/(-4452) - (-2)/21). Is l greater than 3628? False Let i = 121651/7 - 17559. Let d = -601 - -422. Let k = d - i. Is -0.3 bigger than k? False Let u = -92 - -96. Suppose 2*s - 155 = -3*s. Suppose -d + 3*d = p + s, -u*d = 3*p + 103. Is p bigger than -33? False Let y be (12294/27)/(6/9). Suppose 5*g + y + 152 = 0. Is -167 smaller than g? False Let f be (-2)/(-4) - 2/4. Let o(t) = t**3 - t**2 + 3*t + 46. Let x be o(f). Which is smaller: x or 47? x Let y = -322 + 18356/57. Let d = -2.9 - -11.9. Is y < d? True Let g(w) = 9*w**2 - 13*w + 97. Let p(u) = -16*u**2 + 28*u - 195. Let d(h) = -7*g(h) - 4*p(h). Let t be d(14). Which is smaller: t or 5? t Let x(b) = 152*b - 852. Let l(h) = -228*h + 1280. Let r(f) = -5*l(f) - 7*x(f). Let q be r(0). Does q = -436? True Let d = -298 - 79. Let x = -375 - d. Is 7 < x? False Suppose 27 = 7*n - 8. Suppose -3*x - 5*h = -0*x - 44, 2*x = -n*h + 36. Let s be 9/x*(-44)/33*-3. Is s > 6? False Suppose -4*q = -4*c + 4, -5*q + 0 + 3 = -3*c. Suppose 2*d - 71 = -c*l - 1, -83 = -5*l - d. Are l and 14 non-equal? True Let f = -701.3 - -701.2881. Which is smaller: f or -2/5? -2/5 Let v = -111.7 + 111.5. Let g = -74.1 - 21.9. Which is smaller: v or g? g Let r = 358 + -177. Let i = -44 + r. Is 137 >= i? True Let v be (40/11)/(-2) - (-6)/(-33). Let w(q) = q**3 + 3*q**2 - 6. Let d be w(v). Which is bigger: -28 or d? d Let x be 4/2 + 8/((-32)/(-468)). Let k = 99 - x. Is k bigger than -21? True Suppose -4*l + 200 = 2*r, -5*l - 86 = 2*r - 282. Suppose 570 = -98*z + r*z. Which is smaller: 56 or z? 56 Let r = 463 - 279. Let a be 92/48 - (7300/2336 - (-15)/(-8)). Is a <= r? True Let d(h) = 2*h + 12. Let s be d(4). Let p = -14001/20 + 2877/4. Which is smaller: s or p? p Let r = -966.9429 + 967. Let c = -6.1571 + r. Which is smaller: c or -2/5? c Suppose 0 = -38*f + 13*f + 10 + 15. Do -4897 and f have the same value? False Let s be (19/5 - 3)/(8/220). Let b(o) = 242*o**2 - 241*o**2 - 11*o + s + 0*o - 4*o. Let r be b(14). Which is bigger: 11 or r? 11 Let t = 631 - 430. Let x = t - 220. Let b = 32 - 50. Is b less than or equal to x? False Let z be (-3619)/(-66)*(-4 - -13). Let m = 497 - z. Is m equal to 4? False Let d be (((-33)/(-6))/1 - (10 - 5))/(-2). Is d not equal to 1.284? True Let g = 3.21 - -58.79. Let n = -68 + g. Let b = -5 + 3. Are b and n nonequal? True Let u = 134 - 131. Suppose -u*t + 1 = -5. Is t greater than or equal to 2/13? True Let s(y) = -25*y + 25. Let i be s(1). Suppose 5*b - 2 + 22 = i. Let n = 105/2 - 55. Which is bigger: n or b? n Let d(y) = -y**2 + 3*y + 2. Let t(c) = -c**2 + 1. Let g(k) = d(k) - 5*t(k). Let o(b) be the first derivative of g(b). Let v be o(-1). Is v greater than -12? True Let r = -477.9118 - 0.0882. Let h = 479.34 + r. Which is bigger: 0.1 or h? h Let t = -445/7 + 125933/1981. Is 0 greater than or equal to t? True Let z = 101 - 269. Let m = 165 + z. Are 1
{ "pile_set_name": "DM Mathematics" }
hundreds digit of i? 3 Let x = -7 + 12. Suppose -3 = 4*y + 2*z - 11, -x*y - z = -10. What is the units digit of y/11 + (-372)/(-11)? 4 Let c be ((-18)/2 - -2)*-1*4. Suppose -3*p + c = p. What is the units digit of p? 7 What is the hundreds digit of (-60)/1*5/((-105)/224)? 6 What is the units digit of 2/(-3)*293*(-9)/6? 3 Suppose -2*s - r + 308 = 3*r, 5*s = 3*r + 822. What is the units digit of s? 2 Let n(k) = -k**2 + 6*k + 1. Let g = 0 + 4. Suppose g*i + i - 15 = 0. What is the units digit of n(i)? 0 Let f(g) = 2*g - 12. Let d be f(7). Let m(p) = 2*p**2 - 4*p + 3. Let c be m(d). Let w(j) = 3*j**2 + 3*j - 3. What is the tens digit of w(c)? 3 Suppose -o + 4*i = o - 1096, i + 2178 = 4*o. What is the tens digit of o? 4 Suppose -h + 428 = -2*c - 2753, -5*h + 15940 = -3*c. What is the tens digit of h? 9 Let p(w) = -3*w - 38. Let d be p(-16). What is the tens digit of (-3 - 25)/(d/(-35))? 9 Suppose 0 = 3*d - 14*d - 3047. Let p = 467 + d. What is the units digit of p? 0 Let z = -745 + 1800. What is the thousands digit of z? 1 Let u = 82 + -54. Suppose 4*h - 26 = -2*a + 10, 4*h + u = 2*a. Suppose -2*d + a = -96. What is the tens digit of d? 5 Let a(p) = 137*p**2 - 2*p + 3. Let o(i) = i**2 - i - 1. Let n be o(2). What is the units digit of a(n)? 8 Suppose -16 = -2*n - 5*t, -2*n = -n - 5*t + 22. What is the tens digit of n*1*(-23 - -17)? 1 Suppose 0 = -12*r + 2061 - 10689. What is the units digit of -1*r/3 + (-1)/(-3)? 0 Let r(b) = -5*b**3 + 3*b + 19*b**2 - 13 + 4*b**3 - 10*b**2. Let i be r(9). Suppose 13*n = i*n - 31. What is the units digit of n? 1 Let x = -13 + 15. Suppose -x*m = p - 25 - 27, -10 = 5*m. Let o = 85 - p. What is the tens digit of o? 2 Suppose 0 = -13*a - 21*a + 7548. What is the tens digit of a? 2 Suppose -24*v - 3*h - 1174 = -25*v, 0 = 3*h - 12. What is the units digit of v? 6 Let p be (-5 + 5/((-20)/(-16)))*97. Let q = p + 109. What is the units digit of q? 2 What is the tens digit of (126/24)/(6/664)? 8 Let l(m) be the second derivative of -5*m**3/3 - 3*m**2/2 + 15*m. What is the units digit of l(-5)? 7 Let u = 46 - 49. Let d(o) be the second derivative of o**4/6 + o**3/2 - 3*o**2/2 - o. What is the units digit of d(u)? 6 Let g = -28 - -31. Suppose -g*b + 0 + 501 = 0. What is the units digit of b? 7 Let k be 15/30 + (-5)/(-2). Suppose -k*t = -5*t + 4. What is the units digit of t? 2 Let f = 3288 + 1356. What is the thousands digit of f? 4 Suppose 3333*a - 3325*a - 18360 = 0. What is the units digit of a? 5 Let b = 99 - 98. What is the tens digit of (-7 - -10) + -173*(-1)/b? 7 What is the tens digit of 68/(-51) - (-6920)/15? 6 Let h be ((-936)/45)/(2/(-15)). Suppose 12*n = 8*n + h. Suppose 2*f = -3*f, 3*f + n = b. What is the units digit of b? 9 Let t(v) = -316*v + 16. What is the units digit of t(-2)? 8 What is the hundreds digit of 234143/249 - (-4)/(-3)? 9 Let d(f) = 7*f**2 + 15*f + 8. Let o(a) = -22*a - 16 - 22*a - 20*a**2 - 8. Let g(t) = -17*d(t) - 6*o(t). What is the tens digit of g(-11)? 3 Suppose 0 = -5*l + 10, -4*z - 58*l + 7640 = -56*l. What is the units digit of z? 9 Suppose 0 = -5*m - 2*s + 434, 0*m + 250 = 3*m - 4*s. Let c = -51 + m. Let h = -16 + c. What is the tens digit of h? 1 Suppose 0 = -4*v + 9*v - 145. Suppose -3*s = 5*c - v, -4*c + s = -2*c - 16. What is the units digit of (c/2)/((-4)/(-8))? 7 Suppose -2*f = -k - 5*f + 20, 5*f - 108 = -4*k. Suppose 3*m - k = 7*m. What is the tens digit of -4*(38/m - -2)? 1 Let w(c) = -10*c + 11. Let t be w(-4). Let s be (t/(-1))/3 + 1. Let y = s + 42. What is the tens digit of y? 2 Let n be (1*16/(-20))/((-1)/(-75)). Let y = 62 + n. What is the units digit of y? 2 What is the units digit of ((-39)/(-26))/((-2)/(-96))? 2 Suppose -2*l + 3 = 9. Let d be -1 + -2 + l + 18. What is the units digit of 200/d*(-6)/(-5)? 0 Let d(y) = -115*y + 782. What is the hundreds digit of d(-22)? 3 Let m be -1 + 7 - (-15)/(-5). Suppose 0 = -7*t + m*t. Suppose -o + 17 + 19 = t. What is the tens digit of o? 3 Let s be 0/(0 - -2 - 4). Suppose -i - 9 = -3*p + 10, s = -p + 5*i - 17. What is the units digit of p? 8 Suppose 8970 = 7*p - 1950. What is the tens digit of p? 6 Suppose 4*f = 3*x - 306, 0*f + f - 389 = -4*x. What is the tens digit of x? 9 Let w = 37 + -35. Suppose -w*o + 4*o - 70 = 0. What is the units digit of o? 5 What is the units digit of 2*181 + -10 + (8 - 3)? 7 Suppose 3*v + 212 = 11*k - 10*k, -3*v + 12 = 0. Let p(q) = -q - 1. Let a be p(-1). Suppose -4*t + k = -a*t. What is the tens digit of t? 5 Suppose 0 = 1394*h - 1395*h + 2505. What is the tens digit of h? 0 Let w be (-6)/(-15) - 2/5. Suppose 5*l = -w*l - 3*n + 63, 2*n = 2*l - 38. Suppose l*b - 18 = 12*b. What is the units digit of b? 6 What is the hundreds digit of 757 + 4 + 1 + 1 - -2? 7 Let o = 1735 - 804. What is the hundreds digit of o? 9 Let b be (-12)/(-21) - 2232/(-14). Suppose -4*k = -4*n + 312, -n + 3*k = n - b. What is the units digit of n? 4 Let h = -174 + 304. What is the hundreds digit of h? 1 Suppose 5*p - 1977 = 4*c, -3*p + 3*c = -250 - 938. What is the tens digit of p? 9 Suppose 3*u - 5 = 19. Suppose 2*p + d + 1 - 14 = 0, d = -p + u. What is the units digit of p? 5 Let l = 22 + -17. Suppose -i - 88 = -l*i. What is the tens digit of i? 2 Suppose 0*a = -a + 3. Let x(z) = 38 + 8*z + 8*z**2 - 28 - z**a + 2*z**3. What is the units digit of x(-7)? 3 Let q(p) = 4*p - 14. Let v be q(4). Suppose -8 = 4*a - v*a - 3*h, -30 = -5*a - 5*h. What is the units digit of a/12*(3 - -3)? 1 Let q(h) = h. Let o(k) = k**2 - 5*k - 17. Let a(c) = o(c) + 4*q(c). What is the tens digit of a(-6)? 2 Let j = 28 - 12. Suppose 2*z = 4*z + 5*x - 57, -3*z + 2*x = -38. Suppose z = u - j. What is the tens digit of u? 3 Suppose 5 = -5*u, -2463 = -2*q + 5*u - 0*u. What is the units digit of q? 9 Let n = 23 + -41. Let c be 32/2*(1 + -2). Let b = c - n. What is the units digit of b? 2 Suppose t - 19 = 5*i + 70, -3*i - 2*t - 56 = 0. Let c be 14/3 - 6/i. Suppose f + 2*f - 80 = 2*l, c*f + l - 116 = 0. What is the units digit of f? 4 Let x = 2 + 4. Suppose -q - 5*a = -6*q + 15, 4*q + 18 = -2*a. What is the tens digit of 27 + 1/(q/x)? 2 Let b(t) = -t**2 - 88*t + 39. What is the hundreds digit of b(-55)? 8 Let p(a) = 61*a + 21. What is the units digit of p(4)? 5 Suppose -4*p + 4*d = -32, -4*d - 5 = 2*p + 3. Suppose p*n + 4*r = -n + 74, -3*n = -3*r - 66. What is the tens digit of n? 1 Let a(s) be the first derivative of 5/2*s**2 + 13/3*s**3 + 9 + 4*s. What is the units digit of a(-2)? 6 Let w(g) = -234*g**3 - 2*g**2 - 8*g - 8. What is the tens digit of w(-2)? 7 What is the hundreds digit of 612 + (2 + (-4 - 1) - -6)? 6 What is the units digit of 19908/72 - 7/(-2)? 0 What is the thousands digit of (-3)/(24518/(-4903) + 5)? 4 Let f(d) = -180*d - 169. What is the tens digit of f(-5)? 3 Let x(d) = d**3 - 4*d**2 + 3*d. Let i be x(-4). Let a = -55 - i. What is the units digit of a? 5 Let l(j) = -j**2 - 95*j + 32. What is the hundreds digit of l(-56)? 2 Let h(v) = -4*v**3 + 3*v**2 - 5*v + 3. What is the hundreds digit of h(-4)? 3 Let x be -27*((-168)/(-9) - 3). Let k = x - -749. What is the hundreds digit of k? 3 Let u(o) = -o - 15. Let r be u(-6). Let g be 1 + r + 6 + -4. What is the tens digit of (-51)/(-34)*(-232)/g? 5 Let x = -101 - -743. What is the hundreds digit of x? 6 Let i = -800 + 1326. What is the hundreds digit of i? 5 Let k = 37 - 39. What is the tens digit of 3/k + 69/6? 1 Let c be ((-12)/5)/(2/(-5)). Suppose 9 = -c*z + 39. Suppose -158 = -4*d - d + 3*v, -z = 5*v. What is the units digit of d? 1 Let f(y) = -27*y**3 - 7*y**2 - 6*y - 1. What is the tens digit of f(-3)? 8 Suppose -5*j - 2*b - 3*b - 45 = 0, -2*j - b = 15. Let n be (-2 - (-4)/j)*-3. Suppose -41 = -n*w + 7*w. What is the tens digit of w? 4 Let z = -69 - -74. What is the hundreds digit of (-1)/(z/(-2235)*3)? 1 Let r(j) be the first derivative of j**3/3 + 4*j**2 + 5*j + 5. Let a be r(-7). What is the units digit of (-36)/(-4)*(a + 7)? 5 Let b(w) = -10*w**2 - 4*w + 2. Let a(u) = -9*u**2 - 3*u + 1. Let o(y) = -5*a(y) + 4*b(y). Suppose 6*f - 37 = -55. What is the units digit of o(f)? 1 Let j be (-248 - 1)/3 + 3. What is the tens digit of (-63)/12*j/6? 7 Suppose -6*k + 5963 - 821 = 0. Suppose -3*y - 260 = -k. What is the hundreds digit of y? 1 Let q = -720 + 845. What is the units digit of q? 5 Let
{ "pile_set_name": "DM Mathematics" }
d**3 - 4*d**2 + 4*d**2)*(10 + 4 + 2) + 0*d**3 - 4*d**2 + 3*d**2 + 2*d**3 + 3*d**3 + 2*d**3 - 3*d**3. -28*d**3 - d**2 Expand (-3*u**3 + 0*u**3 + u**3)*(5*u - 2*u - 5*u + (-4 + 3 - 1)*(u + 0*u + 0*u) + 0*u + 5*u - 2*u + (0 - 1 + 2)*(-2 - u + 2)). 4*u**4 Expand 6*q - 3*q - 2*q + (2 + 3 - 3)*(5*q + 0*q - 2*q). 7*q Expand (2 - 6 + 3)*(-2*b**2 + b**2 + 2*b**2) - 6*b**2 + 2*b**2 - 9*b**2. -14*b**2 Expand (-2 - t + 2 + (1 + 4 - 4)*(-1 + 1 - t) + 3*t + 3*t + 2*t)*((-t + t - t)*(2 + 0 - 3) - 4*t - 4*t + 6*t). -6*t**2 Expand (0 + x**3 + 0)*(5*x + 3 - 3) + (x**2 + 0*x**2 + 0*x**2)*(-2*x**2 + 0*x + 0*x). 3*x**4 Expand (22*k + 2 - 1 - 9*k)*(4*k**2 + 0*k**2 - 5*k**2). -13*k**3 - k**2 Expand (3*u + u - 5*u)*(-28 + 16*u + 28 - 98*u). 82*u**2 Expand (-2*k**2 + 2*k - 2*k)*(-k**2 - 2*k + 2*k) + 5*k**4 + 5*k**3 - 5*k**3 + 58*k + 13*k**4 - 58*k. 20*k**4 Expand (0 - 2 - 1 - 2*y)*(4*y - 3 + 3). -8*y**2 - 12*y Expand (5 - 1 + 0)*(2*x**3 - x**3 + 21*x**3)*(-1 - 2*x + 1). -176*x**4 Expand (-1 + 7 - 3 + (2 - 4 + 0)*(1 + 3 - 2))*(2*v**2 - 2*v**2 + 2*v**4). -2*v**4 Expand 0*s + s + s - 2*s + 3*s + 0*s + (4*s - 4*s + 2*s)*(0 - 4 + 5) + 14 + 9*s + 0*s - 12 - 2*s + 0 + 0. 12*s + 2 Expand 26*n**5 - 27*n**5 + 11*n**5 + (-n**3 + 2 - 2)*(5*n**2 - n**2 - 2*n**2) + (n**5 - n**3 + n**3)*(-1 - 5 + 4). 6*n**5 Expand (-2 + 1 - 2)*(-2 - s + 2) + 5*s - 5*s - 2*s + 0*s - s - 3*s + (-3 + 3 - 1)*(-3*s + 4*s - 2*s). -2*s Expand (0 - 1 + 3)*(0*i + i + i) + (-1 + i + 1)*(-1 + 0 - 1). 2*i Expand (2*a**3 + 2*a**3 - 3*a**3)*(a - 2*a + 255*a**2 - 234*a**2). 21*a**5 - a**4 Expand (10 - 10 + 5*i**3)*(-3 + 1 + 1) - 2*i**3 + 4 - 4. -7*i**3 Expand (6*r - 2*r - 2*r)*(-4*r - r + 9*r) + 0*r + 0*r - r**2 - r**2 + 3*r**2 - 4*r**2. 5*r**2 Expand (-1 + 3 + 8)*(-4*r**4 + r**4 + 4*r**4). 10*r**4 Expand -6 + 6 + 4*p + (-6 + 3 + 1)*(-2*p + p + 0*p) + 4*p - 5*p + 0*p. 5*p Expand (-y + 0*y + 3*y)*(-5 + 2 + 2)*(-3*y - 2*y + 2*y + (1 + 0 - 2)*(3*y - 3*y + 3*y)). 12*y**2 Expand 0*x + 0*x + 2*x**5 + (-7 + 7 - 3*x)*(-2*x**4 + 5*x**4 + 0*x**4) - 4*x + 4*x - 2*x**5. -9*x**5 Expand (35 - 21 + 12 + 36)*(3 + i - 3). 62*i Expand (3*b**2 - 3*b**2 - 3*b**2)*(71*b - 1966 + 1966). -213*b**3 Expand (-1 + 4*o + 1 + (-4*o + 3*o + 2*o)*(-2 + 3 + 1))*(3 + 0 - 1). 12*o Expand (-7*o**4 - 5*o**4 + 4*o**4)*(-8 + 5 - 1) + o**4 + o - o. 33*o**4 Expand (-4*z + 3*z - z)*(-z - 2*z + z) + 3*z**2 - 4*z**2 + 0*z**2 + 23*z**2 - 10*z**2 - 9*z**2. 7*z**2 Expand -4*l + 4*l - 3*l**4 + (-2*l + l - l)*(-5*l**3 + l**3 + 3*l**3). -l**4 Expand (-4*m + 0*m + 2*m)*(0 + 4 - 2) + 5 - 5*m - 5 + (-2 + 5 - 4)*(3 - 3 - 2*m) + 0*m + 5*m - 3*m + 2*m - 2*m + 2*m - 3*m - m + 2*m. -5*m Expand (1 - 1 + 2*q)*(0 - 2 + 4)*(1 + 2 - 1) - q + q + q. 9*q Expand (-3*x + 5 - 4*x + 3*x)*(-x + x**2 + x). -4*x**3 + 5*x**2 Expand 0 - 2*a + 0 + (-a - a + a)*(-20 + 24 + 30). -36*a Expand 0 + 0 + 4*m + (-4 + 3 - 1)*(-m - 3*m + 5*m). 2*m Expand (-9*n**3 - 1 + 1)*(5*n - 2*n - 2*n)*(-n + 2*n - 3*n). 18*n**5 Expand ((-2*s + 3*s + s)*(0 - s + 0) + 0*s + 0*s - s**2)*(s + s - 4*s). 6*s**3 Expand (-b**2 + b**2 - b**2)*(-b + 2*b + b) + 0*b**3 + 4*b**3 - b**3. b**3 Expand (-5*y + 12 - 12 + (4 - 4 + 2*y)*(-2 + 0 + 1))*(0*y**3 + 0*y**3 - 2*y**4). 14*y**5 Expand (-2*k**3 + k**3 + 0*k**3)*(-2 + 3*k + 2) - 3*k**3 + 4*k**3 + 15*k**4 - 8*k**4. 4*k**4 + k**3 Expand (4*q - q + 0*q)*(3*q + 2*q**2 - 3*q)*(-q - 3*q**2 + q). -18*q**5 Expand (8*q**4 - 4*q**4 + q**4)*(-4 + 4 - 3). -15*q**4 Expand l**5 - 3*l**5 + l**5 + (0*l**3 - 3*l**3 + 2*l**3)*(-6*l**2 + 3*l**2 + l**2) + l**2 + 3*l**5 - l**2. 4*l**5 Expand (-o**2 - 2*o**3 + o**2 + (-4*o**2 + 4*o**2 - 2*o**3)*(2 - 7 + 3) - 2*o**3 + 3*o**3 + 0*o**3 - o**3 + 2*o**3 + o**3)*(-3 + 2 + 4)*(-o - 4*o + 0*o). -75*o**4 Expand 6*w**4 - 4*w**4 + 0*w**4 + (6 + 0 - 3)*(-w**4 - w**3 + w**3) - w**4 + 4*w - 4*w. -2*w**4 Expand 2*h**2 + 0 + 0 + (h - 2 + 2)*(-2*h + 11*h - 5*h). 6*h**2 Expand 3*l - 3*l + l + 3*l - l + 0*l + (2 - 3 + 3)*(6*l + 4*l - 5*l). 13*l Expand (-4 + 4 - 3)*(1 + 2*f - 1)*(3 + 0 + 2)*(2 + 0 - 1)*(1 - 1 - 1). 30*f Expand 0*m - m + 4*m + (-10 - 5 + 4)*(m + 2*m - 2*m). -8*m Expand (0*r**5 + r**5 - 3 - 3*r**5)*(11 - 8 - 10). 14*r**5 + 21 Expand (-7*d**3 - 8*d**3 + 5*d**3)*(-1 - 3 + 0). 40*d**3 Expand 6*d**5 + 7*d**3 - 7*d**3 + (2*d**5 + d**2 - d**2)*(-1 + 5 - 1)*(5 - 3 + 0). 18*d**5 Expand -p**4 + 4*p**4 - p**4 + (2*p**3 - 3*p**3 + 0*p**3)*(0*p + 5*p - 4*p) - 15*p**4 + 15*p**4 + 17*p**4. 18*p**4 Expand (-3*a - 6*a + 3*a)*(-3 - 1 + 2)*(-3 - 1 + 3 + 3*a). 36*a**2 - 12*a Expand (3*y**2 - 5*y**2 - 2*y**2)*(-1 + 2 + 0). -4*y**2 Expand (-t**4 - 4*t**4 + 4*t**4)*(3*t - 17 + 17). -3*t**5 Expand 0*w**2 + 3*w**2 - w**2 + (-w + 3*w - 3*w + (-1 + 1 - 2*w)*(-1 - 4 + 3))*(0*w + 5*w - 2*w). 11*w**2 Expand 2*r**4 + 0*r**4 + 3*r**4 + (3 + 0 + 0)*(-4*r + 2*r**4 + 4*r) + (0 + 0 - 2)*(r**4 - 3*r + 3*r). 9*r**4 Expand 2*y + 0*y + 0*y + (3*y - 3*y - y)*(-1 - 1 - 1). 5*y Expand (0 - 3 + 2)*(2*m + 2*m - 2*m) + (-3 + 2 + 0)*(5*m - 3*m - m) + 32*m - 274 + 274. 29*m Expand 3 - 3 + y - 4*y + 0*y + 6*y + (-2 + 2 - 1)*(4*y - 2*y + 0*y) - 2*y - 4 + 4 + (1 - 2 - 1)*(-1 + 1 - 2*y). 3*y Expand (-i + i - i)*(1 - 1 + 1)*(0*i**3 - 2*i**3 + 4*i**3). -2*i**4 Expand (2*y - 4*y - 4*y + 2*y + y - 5*y + (-3*y + 5*y + 0*y)*(-4 + 1 + 2) + 2*y + 4*y - 4*y)*(0 + 1 + 1). -16*y Expand (g**4 - 3*g**4 + 3*g**4 + (-1 - 3 + 2)*(g**4 - 3*g**2 + 3*g**2) + 4*g**4 - 6*g**4 - 3*g**4)*(-3 + 8 + 0). -30*g**4 Expand (282*g - 282*g - 8*g**3)*(-2 + 2 + 1)*(-4*g + 7*g - 2*g). -8*g**4 Expand (8*d**2 + 0*d**2 - 3*d**2)*(0*d - d + 4*d)*(-2*d**2 + 3*d**2 + 0*d**2). 15*d**5 Expand 2 + 2*u - 2 - 2*u + 5*u - u + (4 + 1 - 3)*(2*u + 2*u - 3*u) - u + 2*u + 0*u. 7*u Expand (5 - 4 - 3)*(5*r - 3*r - 2 - 1). -4*r + 6 Expand -3*m**2 - 4*m**2 + 6*m**2 - m**2 + m**2 - m**2 + (2 + 1 - 5)*(1 - m**2 - 1) - m**2 - m**2 + 4*m**2. 2*m**2 Expand (-g**3 - 6*g**3 + 4*g**3)*(4 + 0 - 2) - 2*g**3 - 3*g**3 + 6*g**3 - 42*g. -5*g**3 - 42*g Expand -2*n + 0*n + n + (5*n - 5*n - n)*(0 + 0 + 1) - 6*n + 0 + 0 - 3*n - 2*n + 3*n + 2 - 2 + 2*n. -8*n Expand -h + h + h**2 + (3 - h - 3)*(1 + 2*h - 1) + (-h - h + 3*h)*(-4*h - 3*h + 3*h). -5*h**2 Expand (-1 + 1 - 2)*(-2*r**5 - r**5 + 2*r**5) + 2*r**5 - 3*r**5 + 3*r**5 + 2*r - 2*r - 2*r**5 + r**5 + 87*r**5 - 8*r**5. 82*r**5 Expand (-3*t**2 + t**2 - t**2)*(8 - 8*t - 8) - 2*t**2 + t**3 + 2*t**2. 25*t**3 Expand (3*f**2 + 5*f**2 + 0*f**2)*(-7*f**2 + 3*f**2 + f**2). -24*f**4 Expand (-3*m - 2*m + 3*m + (4 - 3 - 3)*(-1 + 1 + m))*(1 + 0 - 4)*(3 - 4 - 2)*(1 + 4 - 3). -72*m Expand (0 + 4 - 2)*(-3*d + 2*d - d) + 4*d - d - d + 0*d + 2*d + d. d Expand (3*q**2 + 3*q**2 - 9*q**2)*(-4 + 5 - 3) + (q + 0*q - 3*q)*(0*q - 5*q + 4*q). 8*q**2 Expand (-c + 2*c - 2*c)*(6*c**3 + 0*c**3 - 2*c**3). -4*c**4 Expand -5*r**3 + r**5 + 3*r**3 - 3*r**5 + (-6*r**4 + 3*r**4 + 2*r**4)*(-9*r - 6*r + 3*r). 10*r**5 - 2*r**3 Expand (k + 35*k + 15*k)*(3*k - 3*k - k) + 3*k**2 + 3*k**2 - 4*k**2. -49*k**2 Expand (-4 + 5 + 1)*(-4 + 0 + 8*p + 2). 16*p - 4 Expand (-5 + 2 + 4 - 2*i)*(0 + 1 - 2). 2*i - 1 Expand ((1 - 1 - 1)*(12 - 12 - 16*i) + (i - 1 + 1)*(3 - 1 - 4) - 4*i + 5*i - 2*i - 3 + 3 - i + (2 + 2*i - 2)*(1 + 1 - 1))*(4 - 4 + i). 14*i**2 Expand (-2 - 4 + 4)*(4*o - 2*o**3 - 4*o + o**4). -2*o**4 + 4*o**3 Expand (-2*y**3 + y**3 + 0*y**3)*((0 - 2 + 6)*(-y + y + y) + 4*y + 1 - 1). -8*y**4 Expand (t - 2*t**2 - t + 0 + 0 - 3*t**2 - 3*t**2 + t**2 + t**2 + (2*t + 4*t - 5*t)*(0*t - 2*t + 0*t) - 2*t**2 - 3 + 3 + 2*t**2 + t**2 - 2*t**2)*(0 + 0 + 2). -18*t**2 Expand (-4*a**2 + 4*a**2 + a**2)*(6 + 5 - 3) - 4*a**2 - 2*a**2 + 4*a**2. 6*a**2 Expand -j**2 + 3*j**3 + j**2 + (2*j**2 + 0*j**2 + 0*j**2)*(-2*j - 1 + 1). -j**3 Expand (1 - 1 - 1)*(3 - 4*x - 3)*(-2*x + x + 17*x). 64*x**2 Expand (3 - 2*c**2 - 3)*(6*c - c - 2*c)*(1 - 3 + 0)*(-c - c + 3*c). 12*c**4 Expand (2*n - n - 3*n + (-2*n - 2 + 2)*(2 + 3 - 3) + 2*n - 3*n - n)*(-1 + 2 - 4). 24*n Expand (s + 1 - 1)*(-s**3 + 18*s**3 + 28*s**3). 45*s**4 Expand (0*l**3 - l**3 - 2*l**3)*(0 + 0 + 3). -9*l**3 Expand (-2*b + 0*b + 0*b)*(0*b - 3*b - 7*b) - 5*b**2 + 0*b**2 + 3*b**2 + (-5 + 2*b + 5)*(1 - 1 + 2*b) + b**2 - b**2 + b**2. 23*b**2 Expand (1 + 1 - 1)*(0*f + 3*f - 2*f) + (26 - 94 + 19*f - 21*f)*(4 - 4 - 1). 3*f + 68 Expand (-3*j + j + 0*j)*(-1 + 2 - 2)*(1 + 0 + 1). 4*j Expand -3*k**3 + 2*k**3 + 7*k**3 + (16*k**2 - 3*k**2 - 2*k**2)
{ "pile_set_name": "DM Mathematics" }
-4*w + 6*w - 5*p - 60 = 0. Let a(r) = r**2 + r - 2. What is the least common multiple of w and a(4)? 180 Suppose -1 = p - 3. Suppose s - p*s + 15 = 2*r, -r - 3*s = -20. What is the least common multiple of 4 and r? 20 Let q = -1379/6 - -229. Calculate the common denominator of (2/(-55))/(3 + (-256)/85) and q. 66 Suppose -h + 3375 = 3*h - b, 0 = 3*h + 2*b - 2534. Let s = 1719/2 - h. What is the common denominator of s and 1/3 - (-140)/66? 22 Let w = 14 + -10. Calculate the lowest common multiple of w and 20. 20 Let l = 9 - -1. Suppose -5*r = -j - 49, 5*r = r + 3*j + 37. What is the least common multiple of (-4)/r + 84/l and 1? 8 Suppose 7*d = 3*d + 24. Let o = d - -2. Calculate the smallest common multiple of o and 8. 8 Let f be (-2238)/(-216) - (-1 + 2). Let p = f + 5/36. What is the common denominator of -38/11 and p? 22 Calculate the lowest common multiple of 6 and (-1)/7 + (-497)/(-49). 30 Let s be (22 - -5)*(-4)/(-3). What is the common denominator of (-1 - (-82)/s) + 2 and -9/2? 18 Let b = -2311/11 + 213. Let s be -116 + -4 + 1/(-1). What is the common denominator of b and s/(-10) + 2 + -3? 110 What is the common denominator of 68/9 and (45/4*1)/3? 36 Let s = -210382 + 10097755/48. Let v = s + 13/48. Calculate the common denominator of v and 3/(-5)*(-23)/3. 30 Suppose s + 2*m - 29 = 0, 10 = 3*m + 2*m. Suppose 2*g = 4*u - g - 34, 56 = 5*u + 3*g. What is the smallest common multiple of u and s? 50 Let l(k) = -k**3 + 9*k**2 - 2*k + 21. What is the least common multiple of l(9) and 6? 6 Suppose 0 = 5*a - 34 - 16. Let d(b) be the second derivative of b**5/20 + b**4/4 - b**3/2 + 2*b. What is the lowest common multiple of a and d(2)? 70 Let k(j) = j - 1. Let x(t) = 3*t + 20. What is the lowest common multiple of x(-6) and k(3)? 2 Calculate the common denominator of 43/30 and 7/(924/(-8))*-2. 330 Let i = -8371 - -50077/6. What is the common denominator of i and (-6)/(-2) - 339/30? 30 Suppose 0*h + h + 2 = 0, -4*z - h + 6 = 0. Find the common denominator of z + ((-93)/(-6) - -1) and (-37)/5 + 1 + 0. 10 Let p(v) = 29*v + 5. Let g be p(-7). Find the common denominator of g/16 - (-3 + 1) and -29/2. 8 Let s(v) = -v**3 + 10*v**2 - 8*v - 9. Let j be s(9). Let g(z) = -z**3 - z**2 - 2*z + 10. Calculate the lowest common multiple of g(j) and 2. 10 What is the common denominator of -93/14 and 590/(-180) - (1 + 1)? 126 Suppose 51 = -7*j + 429. What is the lowest common multiple of j and 16? 432 Calculate the least common multiple of (6 - 0) + -1 + 0 and 9 + (-6)/9*-3. 55 Suppose -2*z + 15770 = 3*z. Let y = z - -2524. Let d = -90893/16 + y. Calculate the common denominator of 109/18 and d. 144 Let l be 2 + (0 - 33282/16). Let c = 2073 + l. Find the common denominator of 101/2 and c. 8 Suppose 6549 = -c + 4*k, 4*c + c = 3*k - 32711. Let w = c - -117701/18. What is the common denominator of w and -59/20? 180 Let x(b) = 3*b - 5. Let u be x(-9). Let s = u + 70. Calculate the common denominator of 77/8 and s. 8 Let n = 2 + 1. Let c be (-2)/(-9) + 22/(-18). Let r = c + n. Calculate the least common multiple of 2 and r. 2 Let y(d) = -d**2 - 7*d. Let b(n) = n**2 + 8*n + 1. Let h(u) = -4*b(u) - 5*y(u). Calculate the least common multiple of (-9 - -3)*20/(-6) and h(-5). 60 What is the common denominator of -4 + 663/60 + -2 and -27/22? 220 Let t(o) = o**2 + 6*o - 4. Let r be t(-5). Let q = 13 + r. Suppose -7*s = -5*s - 10. What is the lowest common multiple of s and q? 20 Let z(u) = u**3 + u**2 + 2*u + 9. Calculate the smallest common multiple of z(0) and 11. 99 Let y = 8 - -2. Suppose -5*f = -y*f + 35. Suppose 4*h + 15 = 3*m - 11, m + 3*h - 13 = 0. What is the smallest common multiple of f and m? 70 Let o = 1/181 + 19723/1086. Let c = 4123939/6 + -685106. Let n = c + -2227. Find the common denominator of n and o. 6 Let j = 1/695 - -36832/2085. Calculate the common denominator of j and -13/4. 12 Calculate the common denominator of 27/(-5) - (0 - 0) and -56/9. 45 Suppose 0 = 2*c - 4*c. Let r(t) = -t**3 + t. Let x be r(0). Suppose x = d + 5*f - 14, -2*d + 4*f = -c*f. What is the least common multiple of d and 7? 28 Suppose -r + 8 = -5*r. Calculate the smallest common multiple of r/6 - (-56)/6 and (-7)/(28/8) - -8. 18 Let q = 352741/18 + -19603. Calculate the common denominator of q and -31/39. 234 Let c = 5/46 + -475/138. What is the common denominator of c and -47/15? 15 Suppose 2*u = u + 9. What is the lowest common multiple of 6 and (-1)/((-1)/u) + 1? 30 Let t be 28/(-154) + (-568)/22. Let j = t - -27. What is the least common multiple of j and 4? 4 Suppose 4*l = -w - 10, -5*l = 2*w - 4*w + 32. Suppose -3*m - 110 = -8*m. What is the least common multiple of m and w? 66 Suppose 0 = 2*q - 5*n - 9, 3*q - 2*n = -3*n + 5. What is the lowest common multiple of q and (-44)/(-20) - (-2)/(-10)? 2 Suppose -59053 = 3*v - 16087. Let x be (2228/18)/(8/(-926)). Let d = v - x. Find the common denominator of 127/6 and d. 18 Let a be (-2)/(-3) - (-494)/(-39). Calculate the common denominator of (46/a)/((-10)/18) and -43/14. 70 Suppose 5 = -2*b - b - 4*y, 4*y = b - 25. Suppose -1 - b = 3*n. Calculate the lowest common multiple of 1 + 0 - (n - -2) and 6. 6 Let u = 12 + 10. Let g = -16 + u. What is the lowest common multiple of g and 17/3 + (-1)/(-3)? 6 What is the common denominator of (18/(-24))/(2/30) and (-63)/(-77) + -2*2? 44 Calculate the common denominator of 3/(-4)*2*156/(-432) and 55/12. 24 Let h(m) = -m + 6. Calculate the least common multiple of 2 and h(-6). 12 Suppose -63 = -6*o - 9. Let v = -20 + 29. What is the smallest common multiple of v and o? 9 Let b = -2110 - -16821/8. Find the common denominator of b and 24/7. 56 Let d(x) = x**2 + 2*x + 12. Let w be d(-11). Suppose -t - w = 6. Find the common denominator of (t/25)/(6/15) and 77/4. 20 Let f be (-2 + 297)/((-6)/(-12)). Find the common denominator of 46/7 and (f/(-25))/((-8)/10). 14 Let k = 0 - 0. Suppose -p - 2*o = k, -3*p + 10 = -o - 18. Let d(l) = -13*l + 1. Calculate the least common multiple of d(-1) and p. 56 What is the lowest common multiple of (-2)/9 - (-840)/135 and 16? 48 Let i be 17/2 + 6/(-4). Let h(k) = -k**2 + 7*k + 10. What is the smallest common multiple of 22 and h(i)? 110 Calculate the common denominator of 29/15 and -31*((-32)/56)/(18/(-7)). 45 Let h(j) = -j - j**2 - 6*j**3 + 2*j - j. What is the least common multiple of 11 and h(-1)? 55 Let y = -1741/132 + 161/12. Calculate the common denominator of y and 107/10. 110 Suppose -x + 6 = -5*u + 2, -9 = 4*u + 5*x. What is the common denominator of (-1)/32*-214 + u and -143/18? 144 Let q be (-116006)/(-56)*2/547. Let k = -3/1094 + q. Find the common denominator of 26/7 and k. 7 Let d(m) = -13*m - 1. Let v be d(-1). Suppose -4*l = 5 - 21. What is the smallest common multiple of l and ((-32)/v)/((-2)/6)? 8 Let f = -465 - -673. Let y = 478 - f. Calculate the common denominator of 1641/y + (-2)/(-9) and -19/6. 30 Let j = 7/21189366 + 111554945473/10276842510. Let t = j + -16/291. What is the common denominator of -16 and t? 5 Let h = 35 - 29. Calculate the lowest common multiple of 4 and h. 12 Let h(v) = 6*v**2 + 3*v + 2. Let r be h(-1). What is the least common multiple of (-18)/45 - (-92)/r and 14? 126 Let g = 3139/368 - 235/23. Let b be (15/(-20))/(2/(-304)). Find the common denominator of g and ((-10)/12)/((-2)/b). 16 Let x(r) = -2*r - 5. Let c be x(-4). Suppose 6*f = c*f - 3. What is the smallest common multiple of 16 and f + 15 - (1 - 1)? 112 Find the common denominator of (-24)/(-156) - 1/(572/322) and -77/6. 66 Let l(y) = y**2 + 6*y + 13. Calculate the smallest common multiple of 22 and l(-7). 220 Let i = -1975 - -9917/5. Find the common denominator of -4 + (-4 - 405/(-55)) and i. 55 Let u = -2301 - -6829/3. Calculate the common denominator of u and -73/9. 9 Let h(r) be the second derivative of -r**3/2 - 3*r**2 - 10*r. Let s be (-50)/8 + (-1)/(-4). Calculate the least common multiple of h(s) and 8. 24 Let i be (-50)/3*(-12)/10. Calculate the smallest common multiple of 1 and -5*-4*2/i. 2 Suppose -1 = -3*w + 35. What is the lowest common multiple of 10 and w? 60 Let v = -2 - -6. Suppose 12 = -2*i + 4*i. Calculate the lowest common multiple of i and v. 12 Calculate the least common multiple of 14 and (-6)/(-27) + 178/9. 140 Calculate the lowest comm
{ "pile_set_name": "DM Mathematics" }
Let k(m) = -754*m**2. Let t(j) = 699*j**2 - 1. Give t(k(s)). 397392684*s**4 - 1 Let g(u) = -2*u**2. Let x(s) = 3364944*s. Calculate x(g(p)). -6729888*p**2 Let z(w) = -22*w**2. Let d(y) = 9*y**2. Let t(u) = 5*d(u) + 2*z(u). Suppose 0 = 2*v + 2*j - j + 1, 2*v + 11 = -3*j. Let i(h) = 2 - 2*h**2 - v. Give i(t(k)). -2*k**4 Let n(k) = 66*k**2. Let f(w) = 3*w - 5*w + w + 3*w. Calculate n(f(z)). 264*z**2 Let v(t) = 12*t. Let q(f) = -129209*f. Give v(q(k)). -1550508*k Let m(a) = 4*a**2 + 42*a - 38. Let l be m(-12). Let q(c) = c - 7 - 10 + 0. Let b(z) = 3. Let j(t) = l*b(t) + 6*q(t). Let u(n) = n**2. Calculate u(j(w)). 36*w**2 Let w(m) = 9*m**2. Let f(b) = -4*b**3 - b**2 - b. Let q be f(-1). Let x = -71 + 78. Let u(r) = -r - x*r + q*r + 3*r. Give u(w(i)). -9*i**2 Let b(o) = -7*o + 3*o + 5*o + 0*o. Let r(w) = 4*w. Let u(v) = -8*b(v) + 3*r(v). Let a(n) = n. Calculate u(a(y)). 4*y Let b(h) = -2229*h. Let c(q) = -2*q**2. Calculate b(c(l)). 4458*l**2 Let d(f) = 27*f**2. Let s(i) = 122083*i. What is s(d(c))? 3296241*c**2 Let o(i) = -i + 11. Let v be o(-5). Let a(x) = -v + x**2 + 16. Let c(u) = 20*u**2. Give c(a(r)). 20*r**4 Let k(l) = -10*l. Let h(y) = -7*y. Let b(i) = -7*h(i) + 5*k(i). Suppose 2 + 4 = 3*o. Let p(t) = -4*t + o*t + t + 3*t. Determine p(b(f)). -2*f Let t(n) = 11*n. Let w(m) be the first derivative of -m**2/2 - 2*m + 618. What is t(w(j))? -11*j - 22 Let j(h) = -3*h. Let q(a) = 43*a - 29*a - 14*a + 20*a**2. Determine j(q(o)). -60*o**2 Let h(r) = 16*r**2. Let j(t) = t**2 + 12*t + 10. Let s be j(-11). Let z be (0 - 1) + (-3)/s. Let f(c) = 7*c**z - 5*c**2 - 4*c**2. Calculate f(h(u)). -512*u**4 Let f(y) = 26383*y. Let z(x) = x**2. Determine z(f(l)). 696062689*l**2 Let t(i) = 93*i + 3. Let f(q) = -q - 1. Let b(x) = -3*f(x) - t(x). Let d(l) = -3*l**2. Determine d(b(a)). -24300*a**2 Let n(m) = -5*m**2 - 3. Let y(u) = 11*u**2 + 7. Let a(q) = 14*n(q) + 6*y(q). Let d(s) = -7*s**2. What is a(d(o))? -196*o**4 Let l(r) = r. Let t(v) = -6*v**3 + 2*v**2 - 3. Let m(s) = s**3 - s**2. Let i(b) = -2*m(b) - t(b). Let w(a) be the first derivative of i(a). Calculate w(l(j)). 12*j**2 Let s(y) = -48*y. Let t(h) = -744*h**2. What is t(s(b))? -1714176*b**2 Let z(q) be the first derivative of q**5/12 + 7*q**2/2 - 23. Let y(g) be the second derivative of z(g). Let a(d) = 2*d**2. Give y(a(x)). 20*x**4 Let g(h) = 275*h. Let i(d) = -d + 1. Let k(t) = 12*t - 11. Let o(u) = -22*i(u) - 2*k(u). Determine g(o(n)). -550*n Let c(b) be the first derivative of 2*b**3/3 + 13. Let v(y) be the third derivative of -13*y**4/24 + 2*y**2. What is c(v(l))? 338*l**2 Let r(s) = -s**2 + 2*s - 2. Suppose -8 = 2*q + 4*a, -4*q + 0*q - 2*a = -2. Let v(p) = -p + 1. Let u(o) = q*r(o) + 4*v(o). Let j(t) = 16*t. What is j(u(w))? -32*w**2 Let m(c) = -575*c**2 + 1. Let q(i) = 8*i**2 + 15. Let t(p) = -26*p**2 - 50. Let s(z) = 10*q(z) + 3*t(z). Calculate s(m(w)). 661250*w**4 - 2300*w**2 + 2 Let o(c) = -5*c - 2. Let x(u) = -5*u**2 + u**2 + 9*u**2 - 3*u**2. Calculate o(x(m)). -10*m**2 - 2 Let c(z) = 2*z**2. Let n(w) = -3*w**2 - 53*w. What is n(c(a))? -12*a**4 - 106*a**2 Let p(u) = u**2. Let s(f) be the third derivative of -f**6/72 - 2*f**3/3 + 31*f**2. Let v(b) be the first derivative of s(b). What is p(v(a))? 25*a**4 Suppose 0 = -j - 3 + 5. Let g(f) = 30*f**2 + 28*f**2 - 61*f**j. Let k(w) = 3*w**2. Give g(k(r)). -27*r**4 Let r(i) = -2*i**2 - 2*i - 2. Let h(d) = -d**2 + d + 1. Let y(g) = 2*h(g) + r(g). Let o = -6 + 13. Let x(a) = -a + 2*a**2 - 6*a + o*a. Determine x(y(v)). 32*v**4 Let i(m) be the third derivative of -5*m**4/24 + 22*m**2. Let c(x) be the first derivative of x**3/3 - 4. Calculate i(c(s)). -5*s**2 Let n(b) = -89*b - 670. Let z(j) = -j. Calculate n(z(w)). 89*w - 670 Let a(i) = i. Let l(c) = -11*c. Suppose -r + 3 - 1 = 0. Suppose 0*z + 68 = -r*z. Let s(v) = -2*v. Let y(d) = z*s(d) + 6*l(d). What is a(y(j))? 2*j Let i(q) = q**2 - 2*q + 2059. Let p(x) = -9*x + 3. What is p(i(k))? -9*k**2 + 18*k - 18528 Let s(l) = 1300*l. Let b(o) = 150*o**2 - o. Calculate s(b(q)). 195000*q**2 - 1300*q Let l(b) be the second derivative of 5*b**4/12 - 8*b + 3. Let d(z) = 6*z. What is l(d(a))? 180*a**2 Let d be (5/(-35) - 45/(-21))/1. Let p(a) = -65*a + 65*a + d*a**2. Let x(m) = -2*m**2. Calculate p(x(q)). 8*q**4 Let t(j) = -5*j**2. Let m(z) = 143*z + 66. Let x(r) = 11*r + 5. Let f(a) = -5*m(a) + 66*x(a). Give f(t(h)). -55*h**2 Suppose 0 - 4 = -4*b. Let i(j) = -1 + j + b. Let w(m) be the second derivative of -m**4/6 - 1150*m. Give w(i(g)). -2*g**2 Let a(b) = -b**2. Suppose 2*c + 5*o = 75 + 9, -o + 42 = c. Let m(l) = c*l - 5405 + 5405. Calculate a(m(z)). -1764*z**2 Let v(w) = -10*w. Let d(z) = -2*z + 3. Let f(t) = 0 - 5 - 7 + 6*t + 4. Suppose c = -c + 16. Let s(m) = c*d(m) + 3*f(m). What is s(v(u))? -20*u Let s(q) be the third derivative of -11*q**4/24 + 142*q**2 - 1. Let v(c) = -5*c. Determine v(s(h)). 55*h Let m(y) = 5*y**2. Let s(u) be the second derivative of 0*u**3 - 5/12*u**4 - 8*u + 0 + 0*u**2. What is s(m(h))? -125*h**4 Let k(j) = 2*j**2. Let u(n) be the third derivative of n**7/280 - 13*n**5/60 - 18*n**2. Let s(z) be the third derivative of u(z). What is k(s(m))? 648*m**2 Let x(o) = -o**2 + 4. Let c(f) = -290*f - 4. Give x(c(m)). -84100*m**2 - 2320*m - 12 Let q(x) = 4*x**2. Suppose -2*l - i + 81 = -0*l, 2*l - 66 = 4*i. Suppose 9*d = 6*d + 6. Let g(b) = -d*b + l - 39 + b. What is q(g(t))? 4*t**2 Let v(j) = -8*j. Let d(f) be the first derivative of 17*f**2/2 - 299. What is v(d(r))? -136*r Let n(m) = 7*m. Let r(l) = -1 + 0 + 5*l + 3*l - 7*l. Let x(z) = -z**2 + 4*z - 4. Let c(h) = 4*r(h) - x(h). Determine n(c(p)). 7*p**2 Let s(y) = -2*y**2 - 252*y. Let d(k) = 442*k. Calculate s(d(q)). -390728*q**2 - 111384*q Suppose f - k = -2, -3*f + 2*k - 11 = -2*k. Let q(j) = -1 + f - j**2 - 2. Let o(m) = 3*m**2. Give o(q(i)). 3*i**4 Let j(r) be the first derivative of 17*r**2 + 44. Let s(v) be the first derivative of v**2 + 2. What is j(s(m))? 68*m Let c(l) = 2*l**2. Let b(p) = 628560*p**2. Determine c(b(x)). 790175347200*x**4 Let b(q) = 57981*q. Let r(o) = 4*o**2. What is b(r(n))? 231924*n**2 Let t(f) = -f**2 - 3*f - 1. Let g(d) = -21*d**2 - 27*d - 9. Let j(m) = -g(m) + 9*t(m). Let p(c) = 10*c. What is j(p(v))? 1200*v**2 Let w(j) = 9*j**2 - 4. Let x(y) = 17*y**2 + 18*y - 18. Let p(d) = -8*d**2 - 8*d + 8. Let m(u) = -9*p(u) - 4*x(u). Determine m(w(f)). 324*f**4 - 288*f**2 + 64 Let m(a) = a**2 - 15*a - 2. Let f(c) = -174*c + 2. Give m(f(s)). 30276*s**2 + 1914*s - 28 Let o(t) = 2*t**2. Let k(v) = 27149*v**2. Calculate o(k(s)). 1474136402*s**4 Let p(b) = -24*b - 5. Let g(k) = -32*k - 7. Let a(t) = -5*g(t) + 7*p(t). Let x(l) = -27*l - 2. What is a(x(q))? 216*q + 16 Let n(t) = -t. Let k(j) = 145*j**2 + 580. Give k(n(p)). 145*p**2 + 580 Let q(c) = -c - 1. Let g(t) = 2*t + 26. Let l(d) = -g(d) - 4*q(d). Let v(b) = -1. Let p(a) = 2*l(a) - 44*v(a). Let r(k) = -3*k. Determine r(p(u)). -12*u Let o(w) = w**2. Suppose 4*b - 3*b - 2 = 0. Let q(f) = -2*f**2 - f**b + f**2. What is o(q(c))? 4*c**4 Let z(k) = -45*k. Let j(t) be the third derivative of t**4/2 + 218*t**2. Give z(j(d)). -540*d Let m(o) = 2*o**2 - 37*o. Let c(u) be the first derivative of u**3/3 - 181. Give c(m(i)). 4*i**4 - 148*i**3 + 1369*i**2 Let h(r) = 39*r**2. Let q(a) be the third derivative of a**4/24 + a**2 - 71*a. Give q(h(w)). 39*w**2 Let s(q) = q**2. Let d(a) = 1400575*a**2. Determine d(s(u)). 1400575*u**4 Let k = -2261 - -2261. Let t(o) be the second derivative of -1/12*o**4 - 14*o + 0*o**2 + k + 0*o**3. Let d(s) = -7*s. Give d(t(r)). 7*r**2 Let l(y) = -63*y**2 - 95*y. Let q(f) = -98*f - 1. Determine q(l(c)). 6174*c**2 + 9310*c - 1 Let k(g) = 2*g**2. Let o(q) = -3*q + 165. Give o(k(m)). -6*m**2 + 165 Let a(z) be the first derivative of -z**5/30 + 11*z**2/2 - 36. Let m(g) be the second derivative of a(g). Let c(v) = -11*v**2. What is c(m(i))? -44*i**4 Let u(b) = -4*b**2. Let w(i) = i + 1. Let c be w(-4). Let a be 18/10 + c/(-15). Let m(n) = -2*n + a*n - n**2 + 0*n. Determine u(m(s)). -4*s**4 Let m(k) = 4*k**2. Let r = 89 - 69. Let v(u) = 11 - r*u + 0 - 11. Calculate v(m(z)). -80*z**2 Let i(y) = -9*y**2. Let h(z) = -2*z + 2. Let s(m) = 9*m - 18. Let b(p) = -18*h(p) - 2*s(p). Give i(b(g)). -2916*g**2 Let o(b) = -7*b. Let c(z) = 24*z**2 - 38*z**2 - 37*z**2. What is o(c(
{ "pile_set_name": "DM Mathematics" }
g**2)). -296*g**3 - 296*g**2 Expand (-35*n**3 + 36*n**3 + 3194 - 2*n**2 - 2944)*(-2 - 2 + 3). -n**3 + 2*n**2 - 250 Expand (3*j + 3*j**3 - 3*j)*((-1 - j - j - 1)*(-41*j - 4*j + 12*j) + 0 - j**2 + 0). 195*j**5 + 198*j**4 Expand (k - 2*k - k)*((-k + 107 - 107)*(0 - 1 + 2) + 7*k + 2*k - 6*k) + 2*k**2 - 2*k + 2*k + (-3 - 2 + 0)*(k**2 + 2*k**2 - k**2). -12*k**2 Expand (-87*o**3 + 38*o**2 - 38*o**2)*(-22 + 38*o - 22 + 44 + (1 - 2*o - 1)*(2 - 2 - 1)). -3480*o**4 Expand (12*o + 29*o + 13*o)*(158 - 79 - 80)*(-4 + 1 + 2). 54*o Expand (-11*s**3 + 5*s**3 - 10*s**3)*(-3 - 2 + 3) + 0*s + 0*s + 2*s - 4*s**3. 28*s**3 + 2*s Expand (-2*w - 4 + 4)*(3*w - 3*w - w**2) + (w + 4 - 4)*(3*w - 3*w - 2*w**2) - w - w**3 + w + (-1 + w + 1)*(16*w**2 - 17*w**2 + 12*w**2). 10*w**3 Expand (-d**5 + d**5 + 2*d**5)*((-15 + 5 + 29)*(7 - 18 + 6) + (6 - 4 - 5)*(4 - 4 - 2)). -178*d**5 Expand -o + 0*o + 4*o + (1 + 4 - 7)*(8*o + 18*o - 10*o) + 5*o - 3*o + 2 - 3*o. -30*o + 2 Expand -671*m + 671*m - 843*m**4 + (m**3 + m**3 - 4*m**3)*(-3 + 3 + 2*m). -847*m**4 Expand (180 + 643 - 288 - u)*(u**4 + 0*u**4 + 0*u**4). -u**5 + 535*u**4 Expand (-i + 2*i - 2*i)*(0 + 0 - 3) - 28*i - 682*i - 245*i. -952*i Expand (2*d - 1 + 1)*(1 + 2*d**2 - 1) + (-10*d**2 - 4*d**2 - 29*d**2)*(0*d + 4*d - 6*d). 90*d**3 Expand -k + 2 - 2 + (0 - 1 - 1)*(0*k + 3*k - 2*k) - 443 + 1194*k + 2164*k + 445. 3355*k + 2 Expand (-1686 - 1426 + 638)*(2 + 0 - 4)*(0 + 0 + 4*v). 19792*v Expand -2*x**4 - 4*x**4 + 4*x**4 + (-5 + 10 + 12)*(4 + 2 - 4)*(-29286*x**4 - 3*x**3 + 304 - 29288*x**4 + 58573*x**4). -36*x**4 - 102*x**3 + 10336 Expand (-34*x + 180*x + 160*x)*(-3 + 0 + 1 + (5 - 6 + 3)*(-4 + 2 + 0)). -1836*x Expand (150*r + 153*r - 409*r + (3 - 2 + 0)*(-7 + 5*r + 7))*(-r**2 + r**2 + 2*r**2). -202*r**3 Expand (-337*o + 74*o - 203*o)*(0*o**2 + 0*o**2 - o**3 + o**3 + 4*o - 4*o + (-2 + o**3 + 2)*(-5 + 3 + 0)). 932*o**4 Expand (56*l**3 - 40*l**3 + 56*l**3)*(11*l - 6*l + 5*l) + (0*l + 0*l - 2*l)*(3 - l**3 - 3). 722*l**4 Expand 1 - p**2 - 1 + (4 + 3 - 5)*(10*p**2 - 21*p**2 - 10*p**2) + (3*p - 1 + 1)*(-p + 0*p - 19*p). -103*p**2 Expand 0*h + 0*h - h + (4*h - 3*h + h)*(0 + 4 - 2) + 4*h - h - 2*h + (h + 3*h - 5*h)*(-2 - 7 - 9)*(37 - 7 - 12). 328*h Expand -43*m + 43*m - 10*m**3 + (5*m**3 + 0*m**3 - m**3)*(-11 + 12 - 6) + 74*m - 74*m - 7*m**3. -37*m**3 Expand (2*s - 3*s - s)*(-5*s + s + 3*s + (-33 + 15 + 7)*(4*s - 9*s + 2*s))*(0*s - 2*s + 4*s)*(3 + 4 - 2). -640*s**3 Expand (-2*f + 2*f - 3*f)*(-1030 - 1143 + 169). 6012*f Expand (1 + 11 + 2)*(63 - 58 - 56)*(0*z - 4*z + 2*z). 1428*z Expand (7 - 3 - 2 + (2 + 3 - 4)*(3 - 2 + 1) - 1 - 2 + 1 + (-2 + 5 - 2)*(92 + 80 + 68))*(2*x - 2*x + 8*x**2) + 0*x**2 - 2*x**2 + 3*x**2. 1937*x**2 Expand (66*d + 58*d + 234 - 118*d)*(2 - 3 - 4*d + 0). -24*d**2 - 942*d - 234 Expand -y + 3*y - y + (16 - 10 + 10)*(-3*y + 7*y - 6*y) + (y - y - 4*y)*(0 + 2 + 0)*(-2 - 2 + 2). -15*y Expand (17 - 25 + 11 + (4 - 2 - 4)*(-1 + 1 - 2) + 3 - 1 + 0 + 2 - 4 + 1)*(4*g**3 - g**3 - 4*g**3) - g**3 + g**3 - g**3. -9*g**3 Expand 14*r - 34771 - 34204 + 101940 - 34087 + (-2 - 3 + 4)*(-2*r - 2 + 2). 16*r - 1122 Expand (-6*l + 3*l - 2*l - 3*l + l + l + l - l + l + (2 + l - 2)*(0 + 4 - 2) - l + l + 2*l)*(-132*l**2 - 173*l**2 + 400*l**2). -95*l**3 Expand (4*d**4 + 0*d**4 + d**4)*(6 - 5 + 7)*(0 + 25 + 3)*(2 - 1 - 3)*(-4 + 0 + 2). 4480*d**4 Expand (0 - 3*j + 0)*(5 - 4 + 3)*(0 + 1 - 2)*((1 + 0 + 1)*(-2 - 1 + 2) - 1 + 3 - 3 + 5 - 3 + 0). -12*j Expand (-5*v**3 - 2*v**3 + v**3)*((0 + 1 + 1)*(2 - 6 + 3) + 0 + 0 + 1)*(-13*v + 57*v - 25*v)*(-2 + 3 - 14*v - 3). -1596*v**5 - 228*v**4 Expand -11 - 4 + 3*h + 16 + (-4 - 19 + 138)*(7*h - 7*h + 7*h) + (2 + 3 - 3)*(1 - 1 - 2*h). 804*h + 1 Expand (2 + 0 - 3)*(0 + 0 - 2*a**2 + (-a - 4 + 4)*(4*a + 0*a - 2*a) - 3*a**2 + 3*a**2 - 19*a**2) - 12*a**2 - 10*a**2 - 7*a**2. -6*a**2 Expand (-2 - 3*c**2 + 2 + (-5 + 5 + 2*c)*(-1 + 1 - 2*c) + 2*c**2 - 6*c**2 + 2*c**2 - 10*c + 10*c + 3*c**2)*(-40 - 33*c + 40). 198*c**3 Expand -723*b - 1135*b + 2610*b + (-3 + 2 + 0)*(-3*b + 6*b - 2*b) - 4*b + 6 - 6. 747*b Expand (5 - 3 - 1)*(-f**2 + 4*f**2 - 2*f**2) - 65*f - 16*f**2 + 65*f - 92 - 95 + 188 + 43*f**2. 28*f**2 + 1 Expand -131*y**5 + 118*y**5 + 21*y**4 + 2*y**4 + (5 + 6 - 3)*(y**5 + 4*y**3 - 4*y**3). -5*y**5 + 23*y**4 Expand (v + 9*v - 4*v)*(2*v + 2*v + 7*v)*(4 - 3 + 4) - 2*v**2 + 7*v - 2 - 7*v - 4*v. 328*v**2 - 4*v - 2 Expand (2*g + 0*g + 3*g)*(1 + 2*g + 16*g**2 - 30*g**2 - 41*g**2). -275*g**3 + 10*g**2 + 5*g Expand (1 + 1 - 5)*(1233*r**2 - 1233*r**2 - 80*r**4 - 7 + 7 - r**4 + (-2 - 3*r**2 + 2)*(-4*r**2 + 0*r**2 + 6*r**2) + r**4 - r + r). 258*r**4 Expand (171*w - 88*w - 140*w)*(-5 + 1 + 6)*(-2 + 3 - 2). 114*w Expand (-1 + 1 - 2)*(0*c + 5*c - 3*c) + (4*c - 3*c + 0*c)*(0 + 3 - 5) + 12*c - 67*c - 3*c. -64*c Expand -3*j + 2*j**2 - 9 + 9 + 2*j**2 - j + j - 2 + 2*j**2 + 2 + (-j**2 + 0*j + 0*j)*(-2 + 3 + 3) - 3*j**2 + 0*j + 0*j + 7*j**2 - 3*j**2 - 2*j**2. j**2 - 3*j Expand (400 - 406 + 3*c**2 - 2*c**2)*(2*c - 5*c + 2*c)*(29*c**2 + 58*c - 58*c). -29*c**5 + 174*c**3 Expand -795*d + 730*d + 1 - 8 + (4 - 11 + 1)*(-4*d + 2*d + 0*d). -53*d - 7 Expand (t**5 - 3*t**5 + 4*t**5)*(-3 + 3 - 3) + (-2*t - 11*t**4 + 2*t)*(149 - 149 + 17*t) + 0*t**2 - t**5 + 0*t**2 - t**5 - 3*t**5 + 5*t**5. -193*t**5 Expand (4 - c - 4)*(-9166232*c + 96*c**2 + 4 + 9166233*c + 53*c**2). -149*c**3 - c**2 - 4*c Expand (-4*d + d - 4*d)*(-5*d**2 + 3*d**2 + d**2 - 5*d**2 - 17 + 17 + (2*d + 3 - 3)*(d - 1 + 1) + 5*d**2 - 3*d**2 + 0*d**2) - 2*d**2 - 5*d**3 + 2*d**2. 9*d**3 Expand (o - 4*o + 7*o)*(1 - 12 - 83). -376*o Expand (-130*u + 229*u - 1109 - 97*u)*(u**2 - u**2 - u**3). -2*u**4 + 1109*u**3 Expand (3*c**3 - 5*c**3 + 3*c**3)*(-1 - 3 + 2) + 6 + 12 - 19 + 19*c**3. 17*c**3 - 1 Expand -86*i**2 - 24*i**2 + 32*i**2 + (3*i - 4*i + 2*i)*(0*i + 0*i - 4*i) - 2*i + 2*i + 2*i**2 + (i + 3*i - 3*i)*(3*i + 3*i - 5*i) + 2*i**2 + 0*i**2 - i**2. -78*i**2 Expand (-5*w**2 - 11*w + 2 + 5*w + 5*w)*(6487 - 6487 + 94*w). -470*w**3 - 94*w**2 + 188*w Expand (2437*l - 10227 + 10227)*(-1 - 5 + 0) + (2*l + 0*l - l)*(4 - 3 + 0). -14621*l Expand (5*s - 3*s**4 - 5*s)*((-1 + 4 - 5)*(-6*s - 3*s + 7*s) + 51*s - s - 9*s + (1 + 0 + 1)*(-7*s - s + 6*s)). -123*s**5 Expand (-54*h - 3 + 99*h - 52*h)*(-2 + 2 + 3) + h + 2*h - 5*h. -23*h - 9 Expand (4 - 4 + 1)*(3*i + 2*i**2 - 3*i)*(0*i**3 - 4*i**3 + 2*i**3)*(0 - 3 + 4)*(-2 + 1 + 2)*(8 + 3 - 1). -40*i**5 Expand (36*p**2 - 15*p**2 - 61*p**2)*(1302 + 30*p**2 - 1302). -1200*p**4 Expand (10*p - 2 + 2)*((0 + 1 + 1)*(-8 + 4 + 1) + 5 - 3 - 1)*(9*p + 19 - 19). -450*p**2 Expand (2 + 2 - 2)*(6*d - 2*d + d)*(2 - 4 - 3)*(-6 + 3 + 1)*(-17*d - 2*d + d). -1800*d**2 Expand (-3*m + m + 0*m)*(4*m**2 - 2*m**2 - 3*m**2) - 2*m**2 - 3*m**3 + 2*m**2 + (-136*m**2 - 372*m**2 + 55*m**2)*(-3*m + 1 - 1) - 4*m + m**3 + 4*m. 1359*m**3 Expand (483 - 214 - 592 - 458)*(14*s + 0*s + 5*s)*(-3 + 0 + 5). -29678*s Expand (v + 5*v - 7*v)*(-27 - v + 27) + (0 + 2 - 4)*(-2*v + 7*v - 3*v)*(-3*v + 0*v + v). 9*v**2 Expand (-2*r + 2*r + 4*r)*(821*r - 258*r - 17 - 175*r - 81*r). 1228*r**2 - 68*r Expand (-58*g**2 + 44*g**2 - 45*g**2 - 29*g**2)*(10*g**2 - 2*g**2 + 2*g**2). -880*g**4 Expand (-11 + 3*t - 2*t + 2)*(-11 - 40 - 58). -109*t + 981 Expand (251*p - 897*p - 638*p)*(-p + p - 5*p**4). 6420*p**5 Expand (0*v + 0*v + 2*v**3)*(-4*v + 4*v + v) + (35 + 61 - 67)*(0*v + 0*v + 3*v)*(-v**3 + 2*v**3 + 6*v**3). 611*v**4 Expand -17*a**2 - 4*a**2 + 5*a**2 + (3*a - 4*a + 2*a)*(2*a - 3*a - a) + 7*a**2 - 9*a**2 + 6*a**2. -14*a**2 Expand 9*b**4 - b**4 - 2*b**4 + 380*b + (-2 + 2 + 2)*(-4 - 2*b**4 + 4) + 2*b**4 - b**4 - 6*b**4. -3*b**4 + 380*b Expand -6*j**4 + 2*j**4 + j**4 - 528831*j + 528831*j + 3924*j**4 + (-4*j**2 + 0*j**2 + 3*j**2)*(2*j**2 + 5*j - 5*j). 3919*j**4 Expand 3 - 3 - 3*f**2 - 2*f**2 - f**2 + 8*f**2 + (18 - 5 + 23)*(f**2 + 0*f**2 + f**2). 74*f**2 Expand (-2*w + 0*w - 4*w)*(-1 + 1 + 3*w)*(-16*w - 26*w - 5*w). 846*w**3 Expand (-1 + 6 - 4)*(-54 + 340 + 321)*(5 - 5 + 3*p). 1821*p Expand (s - 10*s**3 + 18*s**3 + 15*s**3)*(28*s**2 - 23*s**2 + 11*s**2). 368*s**5 + 16*s**3 Expand (30 - 18 - 12 + 131*y**2)*(-5693*y + 5639*y - 5 + 2). -7074*y**3 - 393*y**2 Expand (926 - 717 + 281)*(-61 - 26*b + 61)*(1 + 0*b + b - 2 + (0 - 3 + 4)*(3*b - 3*b + b) + 2*b + 0*b - b + 2*b + 0*b + 0*b). -63700*b**2 + 12740*b Expand (-2 - 1 + 2 + 5
{ "pile_set_name": "DM Mathematics" }
) - 4*m(h). 2*h**2 - 6 Let d(c) = -193*c**2 - 3*c - 6. Let y(q) = 386*q**2 + 5*q + 11. What is 5*d(l) + 3*y(l)? 193*l**2 + 3 Let m(j) = 29*j - 2821. Let v(i) = -36*i + 2822. Determine -5*m(y) - 4*v(y). -y + 2817 Let h(t) = -25*t + 24. Let g be h(1). Let a(d) = -d. Let n(m) = 8*m + 3. Determine g*n(w) - 3*a(w). -5*w - 3 Let j(m) = 10*m - 6. Let u(k) = 7*k**2 - 32*k. Let p be u(5). Suppose -261 = 41*a - p. Let v(x) = 9*x - 5. Calculate a*j(i) + 7*v(i). 3*i + 1 Let k(u) = 21*u**3 - 5*u**2 + 38*u + 6. Let b(a) = 34*a**3 - 9*a**2 + 73*a + 11. Give 4*b(x) - 7*k(x). -11*x**3 - x**2 + 26*x + 2 Let p(j) = 8561*j**2 - 4*j + 4. Let m(u) = 2834*u**2 - u + 1. What is 7*m(s) - 2*p(s)? 2716*s**2 + s - 1 Let u(o) = -3*o - 720. Let v(h) = 5*h + 997. Let z(c) = 7*u(c) + 5*v(c). Let m(b) = 2*b - 28. Give 5*m(r) - 3*z(r). -2*r + 25 Let y(u) = -u + 4. Let f = 308 - 278. Let j(k) = 3*k - f + 7*k - 25 + 5*k. Give -4*j(v) - 55*y(v). -5*v Let f(k) = -4*k - 1 + 7*k - 1. Let l(a) = -4*a + 2. Suppose 121*j = 524 - 887. Calculate j*f(q) - 2*l(q). -q + 2 Let z(y) = 11*y + 1. Let c(a) = 43*a + 4. Let i(j) = -2*j**2 + 14*j + 236. Let g be i(15). Calculate g*c(v) + 18*z(v). 26*v + 2 Let b(t) = 5*t + 41 + 428*t**2 - 436*t**2 - 49. Let l(p) = -15*p**2 + 10*p - 15. Determine -11*b(x) + 6*l(x). -2*x**2 + 5*x - 2 Let n be (26/39)/(16/(-12))*-2. Let f(d) = -1 - 1 + 3. Let g(u) = -4*u - 4. Determine n*g(k) + 2*f(k). -4*k - 2 Let i(o) = 252*o - 6. Let z(x) = 504*x - 9. What is -5*i(y) + 3*z(y)? 252*y + 3 Let u(n) = 9*n**3 + n**2 + n + 2. Let y(i) = 52*i**3 + 6*i**2 + 6*i + 11. Calculate 34*u(s) - 6*y(s). -6*s**3 - 2*s**2 - 2*s + 2 Let g(n) = 4110*n**2 - 8*n + 2. Let q(c) = 4111*c**2 - 12*c + 3. What is -3*g(b) + 2*q(b)? -4108*b**2 Let h(i) = 1264*i**2. Let r(k) = 1949103*k**2. Determine 3085*h(t) - 2*r(t). 1234*t**2 Let d(x) = -x**2 + 17*x - 1. Let s(v) be the third derivative of -v**5/30 + 17*v**4/24 - v**3/3 + 9509*v**2. What is -4*d(g) + 3*s(g)? -2*g**2 - 17*g - 2 Let q(i) = 35*i - 1169. Let n(f) = 162*f - 5845. Give 3*n(b) - 14*q(b). -4*b - 1169 Let f(u) = -u + 3. Let n be 15/9 - 10/6. Suppose -q - q + 5*b + 10 = n, -5*q - 29 = b. Let m(v) = v - 3. What is q*m(x) - 6*f(x)? x - 3 Let k(w) = 4*w**2 + w - 3. Let s(m) = 7 - 100*m**2 - 3*m - 82*m**2 + m + 173*m**2. Suppose 2*l - h - 3 = 5*l, 0 = -5*l - h - 7. What is l*s(r) - 5*k(r)? -2*r**2 - r + 1 Let f(n) = -347*n**3 - 15*n**2 - 9*n. Let u(h) = -692*h**3 - 29*h**2 - 15*h. Give -5*f(v) + 3*u(v). -341*v**3 - 12*v**2 Let w(a) be the second derivative of -a**5/20 - a**4/4 + a. Let n = 116 + -113. Let x = n - 6. Let r(h) = -4*h**3 - 16*h**2. What is x*r(m) + 16*w(m)? -4*m**3 Let g(y) be the third derivative of -5*y**4/6 + 5*y**3/6 + 998*y**2. Let w(o) = 39*o - 9. What is 5*g(t) + 3*w(t)? 17*t - 2 Let v(d) = 1. Let t be (2 - -304) + (-20)/4. Suppose -93 = -26*l - t. Let m(p) = -8 + 0 + 4*p + 0. Calculate l*v(z) - m(z). -4*z Let g(f) = 17*f**2 + 3*f + 50. Let z(w) = 15*w**2 + 2*w + 50. Give 3*g(b) - 4*z(b). -9*b**2 + b - 50 Let q(u) be the second derivative of u**4/12 - u**3/6 - 2728*u. Let k(f) = -f**2 - f. Let t(v) = -v**2 - 6*v - 1. Let a be t(-6). Calculate a*q(z) + k(z). -2*z**2 Let u(k) = 3*k - 1. Let r(z) = -2*z - 58. Let i(a) = a + 35. Let f(t) = 5*i(t) + 3*r(t). Give 7*f(x) + 3*u(x). 2*x + 4 Let h(b) = -16 + 23*b**2 - 43 + 85. Let z(a) = 3*a + 22. Let j be z(-13). Let k(m) = -8*m**2 - 9. What is j*k(r) - 6*h(r)? -2*r**2 - 3 Let z(y) = y + 4 - 917*y**2 - 5*y - 6*y**3 + 922*y**2 + 5*y + 4*y. Let t(g) = -5*g**3 + 6*g**2 + 6*g + 5. Determine 4*t(u) - 5*z(u). 10*u**3 - u**2 - u Let r be (-12)/15*(-30)/4. Let h(y) = 4*y + 5 - 6 + y + 3*y - 7*y. Let x(k) be the third derivative of -7*k**4/24 + 2*k**3/3 - 17*k**2. Determine r*h(g) + x(g). -g - 2 Let g(f) = -205*f**2 + 9*f + 25. Let i(b) = b**2 - b - 4. What is g(a) + 6*i(a)? -199*a**2 + 3*a + 1 Let m(x) = -432*x + 1 - 428*x - 430*x + 1289*x. Let h(n) = 3*n + 8. Let g(r) = 8*r + 24. Let v(t) = 6*g(t) - 17*h(t). Determine -5*m(w) + v(w). 2*w + 3 Let p(a) = 2299*a**2 - 8*a - 3. Let v(y) = -6896*y**2 + 22*y + 8. Determine -11*p(k) - 4*v(k). 2295*k**2 + 1 Let n = -115 + 118. Let m(t) = -4*t - 14*t**2 + 6*t + 13 - n - 2*t - 8*t. Let j(g) = -g**2 - g + 1. What is 10*j(s) - m(s)? 4*s**2 - 2*s Let n(x) = -17*x - 4. Let b(i) = 18*i + 5. Let q(m) = -m**2 + 66*m + 939. Let c be q(-12). Determine c*b(z) + 4*n(z). -14*z - 1 Let c(t) = -2*t**3 - 3*t**2 - 4*t. Let d(w) = -5*w**3 - 8*w**2 - 11*w. Let z(p) = -8*p - 8. Let j be z(-10). Suppose 101*o - j = 92*o. Give o*c(a) - 3*d(a). -a**3 + a Let c(f) = -8*f**2 - 85*f + 48. Let q(s) = 2*s**2 + 17*s - 10. Determine -4*c(l) - 19*q(l). -6*l**2 + 17*l - 2 Let o(a) = -a - 7. Let v(b) = 72 + 52 + 12 - 142. Determine -4*o(i) + 5*v(i). 4*i - 2 Let a(f) = f**2 - 12*f + 1. Let g(n) = 1252*n**2 + 48*n - 4. Give 4*a(w) + g(w). 1256*w**2 Let x = -208 + 334. Let n = x + -121. Let z(c) = 20*c - 12. Let b(o) = 8*o - 5. Give n*z(s) - 12*b(s). 4*s Let a(c) = 4904*c - 9. Let t(s) = 4879*s - 8. Give -6*a(i) + 7*t(i). 4729*i - 2 Let c(g) = -g**3 + 54*g**2 + 8*g + 1. Let b be c(0). Let k(d) be the second derivative of -d**2/2 - d. Let a(y) = -5*y + 3. What is b*a(v) + 3*k(v)? -5*v Let o(a) = -8*a**3 + a**2 - 3*a - 5. Let l = 3758 - 3763. Let u(i) be the second derivative of -i**5/20 - i**3/6 - i**2/2 + 3*i. Determine l*u(z) + o(z). -3*z**3 + z**2 + 2*z Let z(l) = -31*l + 10. Let i(q) = 87*q - 4. Let n(g) = 413*g - 21. Let f(c) = 14*i(c) - 3*n(c). Give -7*f(a) + 5*z(a). -8*a + 1 Let o be (-2)/(-6*1/18) - 8. Let r(u) = -u**3 - u**2 + u + 1. Let l(z) = 27*z**3 - 4*z**2 + 2*z + 2. Calculate o*r(n) + l(n). 29*n**3 - 2*n**2 Let x(b) = 11*b + 4. Suppose 0 = -3*g - 21, -5*r - 14*g + 12*g = 24. Let w(z) be the first derivative of -2*z**2 - z + 2. Give r*x(h) - 7*w(h). 6*h - 1 Let r(i) = -2*i**3 + i - 9*i**2 + 8 - 7*i - 2. Let c(g) = 304 + 313 + g - 927 + 309 + g**2. Determine 6*c(s) + r(s). -2*s**3 - 3*s**2 Let o(u) = -5226*u + 1 + 0 + 0 + 5232*u. Let g(q) = -7*q - 1. What is -2*g(n) - 3*o(n)? -4*n - 1 Let m be 96/(-21) - 16/(-28). Let v(r) = 7*r**2 + 5*r. Let b(q) = 4*q**2 - 5*q**2 + 307*q - 150*q + 8*q**2 - 153*q. Determine m*v(u) + 5*b(u). 7*u**2 Let z(f) = -25*f**2 - 5*f - 9. Let w(n) = -56*n**2 - 11*n - 20. Let r(a) = -4*w(a) + 9*z(a). Let p(s) = 7*s**2 - 2*s - 1. Calculate -p(j) + 2*r(j). -9*j**2 - 1 Let w(o) = 2*o**3 + 29*o**3 + 2*o**2 - o**2 + 3*o - 45*o**3 - 3*o**2. Let y(d) = d**3 - d**2 + d. What is 2*w(k) - 4*y(k)? -32*k**3 + 2*k Let h(u) = -u**3 - 3*u**2 + 7*u - 5. Let p(v) = 2*v**2 - 4*v + 3. Let a = -14539 + 14542. Give a*h(g) + 5*p(g). -3*g**3 + g**2 + g Let a(j) = 3*j**2. Let p(s) = 17*s**3 + 15*s**2 + 59*s + 2. Give 5*a(n) - p(n). -17*n**3 - 59*n - 2 Let v(u) be the second derivative of 1/3*u**3 + 0*u**4 - 160*u - 9/20*u**5 + 0*u**2 + 0. Let s(n) = -9*n**3 + 3*n. Determine 2*s(z) - 3*v(z). 9*z**3 Let b(y) = 2*y + 17. Let t(r) = -54*r + 66. Let k(i) = 29*i - 34. Let u(a) = 15*k(a) + 8*t(a). Determine -4*b(g) + 3*u(g). g - 14 Let r(w) = -43*w**2 + 5*w + 1. Let l(t) = -22*t**2 + 2*t. Suppose -783*q + 943*q + 320 = 0. Determine q*r(j) + 5*l(j). -24*j**2 - 2 Let q(w) = -w**3 + 6*w**2 - 4*w + 4. Suppose -4*v - 3 = -v. Let a(z) = 8 + 184*z**2 - 1 - 12 + 4 + z - 185*z**2 + z**3. Determine v*q(k) - 4*a(k). -3*k**3 - 2*k**2 Let t(n) = 1. Let m(d) = 120*d**3 - 5*d**2 - 55*d + 40. Let y(u) = 60*u**3 - 2*u**2 - 22*u + 21. Let s(z) = 2*m(z) - 5*y(z). Calculate -s(w) - 25*t(w). 60*w**3 Let v(u) = -851*u**3 - 184*u - 184. Suppose 0 = -5*l - 34 - 8 + 17. Let b(j) = 23*j**3 + 5*j + 5. Calculate l*v(q) - 184*b(q). 23*q**3 Let s(n) = 613*n**2 - 15*n + 44. Let m(f) = 204*f**2 - 4*f + 12. What is -7*m(x) + 2*s(x)? -202*x**2 - 2*x + 4 Let w(i) = 56*i**3 + 10621*i - 10621*i. Let k be -1*2 - (-6 + -2). Let b(j) = 5*j**3. Calculate k*w(m) - 68*b(m). -4*m**3 Let d(b) = 15*b - 2. Let h(j) = 44*j + 10. Calculate 15*d(a) + 3*h(a). 357*a Let b(v) = 3 - 85*v + 283*v - 96*v - 101*v. Let a(i) = -1. What is 5*a(t) + 2*b(t)? 2*t + 1 Let q(p) = -2162*p + 26. Let c(y) = 1081*y - 15. What is 7*c(r) + 4*q(r)? -1081*r - 1 Let u(n) be the second derivative of -3*n**5/20 + 7*n**3/6 - 2*n**2 + 8*n + 158. Let s(w) = 3*w**3 - 8*w + 5. Determine -5*s(t) - 6*u(t). 3*t**3 - 2*t - 1 Let i(g) = 4*g + 1. Let c(d) =
{ "pile_set_name": "DM Mathematics" }
actor -2*y**4/3 - 1474*y**3 + 4428*y**2. -2*y**2*(y - 3)*(y + 2214)/3 Determine g so that -10*g**4 - 626*g**3 + 3252*g**2 + 20240*g - 8576 = 0. -67, -4, 2/5, 8 Factor -2*g**3 + 274*g**2/3 + 280*g/3. -2*g*(g + 1)*(3*g - 140)/3 Solve 5*b**2 - 3440200*b + 591748802000 = 0 for b. 344020 Factor 2*i**3/11 - 134*i**2/11 - 2*i/11 + 134/11. 2*(i - 67)*(i - 1)*(i + 1)/11 Factor x**4/3 + 526478*x**3/3 + 30797617556*x**2 + 5404704702169010*x/3 - 5404797095548157/3. (x - 1)*(x + 175493)**3/3 Determine i, given that -i**3 + 3367*i**2 + 33761*i + 30393 = 0. -9, -1, 3377 Factor -2*s**3/9 - 32*s**2/9 - 158*s/9 - 80/3. -2*(s + 3)*(s + 5)*(s + 8)/9 Let m**4/10 - 57073*m**3/10 + 814417417*m**2/10 - 488342283*m/2 - 1465643205 = 0. Calculate m. -3, 6, 28535 Let 5*q**4 + 2075*q**3 - 23270*q**2 + 68020*q - 59640 = 0. Calculate q. -426, 2, 7 Find s such that 5*s**4 + 362115*s**3 - 5*s**2 - 362115*s = 0. -72423, -1, 0, 1 Let -116*z**2 + 1936*z - 1280 = 0. Calculate z. 20/29, 16 Suppose 3*f**3 - 25902*f**2 - 207360*f - 414816 = 0. What is f? -4, 8642 Factor 2*r**5/9 - 4766*r**4/9 - 4772*r**3/3. 2*r**3*(r - 2386)*(r + 3)/9 Let -2*a**5/17 + 168*a**4/17 - 2962*a**3/17 - 6612*a**2/17 = 0. What is a? -2, 0, 29, 57 Factor -2*x**2/7 - 5934*x/7 - 11860/7. -2*(x + 2)*(x + 2965)/7 Solve -l**2/4 - 4264*l + 17057/4 = 0. -17057, 1 Let -4*s**2 - 284*s - 4920 = 0. What is s? -41, -30 Factor -23762*c**3 - 154126*c**2 + 83888*c - 10976. -2*(c + 7)*(109*c - 28)**2 Factor -5*y**3 + 40*y**2 + 395*y + 350. -5*(y - 14)*(y + 1)*(y + 5) Factor 2*f**2/5 - 72*f/5 - 1152/5. 2*(f - 48)*(f + 12)/5 Solve 2*u**5/11 + 62*u**4/11 + 120*u**3/11 - 2368*u**2/11 + 5888*u/11 - 4320/11 = 0 for u. -27, -10, 2 Factor -2*h**3 + 830*h**2 - 85696*h - 86528. -2*(h - 208)**2*(h + 1) Find z, given that -2*z**2/21 - 1818*z/7 = 0. -2727, 0 Find b such that 5*b**2/4 + 390675*b/2 + 781345/4 = 0. -156269, -1 Determine t so that 2*t**3/17 - 60*t**2/17 - 5544*t/17 - 71632/17 = 0. -22, 74 Factor 9*o**4/2 + 151293*o**3 - 201730*o**2 + 67244*o. o*(o + 33622)*(3*o - 2)**2/2 Factor -4*z**4/9 + 39256*z**3/9 - 32969612*z**2/3 + 12729935680*z/9 - 420630073600/9. -4*(z - 4840)**2*(z - 67)**2/9 Find z, given that -z**2 - 40984*z + 81972 = 0. -40986, 2 Factor 4*q**2 - 2782760*q + 483984576100. 4*(q - 347845)**2 Suppose 5*v**3 - 188875*v**2 + 1783782715*v - 1783593845 = 0. Calculate v. 1, 18887 Find t, given that -2*t**2/3 - 8146*t/3 + 2716 = 0. -4074, 1 Factor 2*q**2/5 - 66606*q/5 - 66608/5. 2*(q - 33304)*(q + 1)/5 Let -o**2/4 - 175*o/2 - 3729/4 = 0. What is o? -339, -11 Let l**2/6 - 77717*l/3 + 6039932089/6 = 0. Calculate l. 77717 Suppose -2*d**5/11 + 2374*d**4/11 - 69974*d**3/11 + 642538*d**2/11 - 1806272*d/11 + 1564264/11 = 0. Calculate d. 2, 13, 1157 Let -3*t**4/8 + 10623*t**3/8 - 63657*t**2/8 + 95445*t/8 = 0. What is t? 0, 3, 3535 Determine q, given that q**2/3 - 1948*q/3 + 9715/3 = 0. 5, 1943 Factor 2*z**3/3 - 1714*z**2/3 - 2294*z - 1722. 2*(z - 861)*(z + 1)*(z + 3)/3 Suppose 3*s**5 - 90*s**4 + 840*s**3 - 2250*s**2 - 843*s + 2340 = 0. Calculate s. -1, 1, 5, 12, 13 Determine b, given that -b**4 + 1111*b**3 - 132600*b**2 = 0. 0, 136, 975 Solve -20*u**5 - 214*u**4 - 2256*u**3/5 - 128*u**2 + 1024*u/5 = 0. -8, -8/5, 0, 1/2 Factor -f**2 - 426*f - 5369. -(f + 13)*(f + 413) Suppose -i**2 - 253319*i = 0. What is i? -253319, 0 Factor 44*x**2 - 81792*x - 7436. 4*(x - 1859)*(11*x + 1) Suppose -49*z**3/2 - 226443*z**2/2 - 64695*z/2 - 4621/2 = 0. Calculate z. -4621, -1/7 Factor -2*d**3 - 3818*d**2 - 105390*d - 101574. -2*(d + 1)*(d + 27)*(d + 1881) Solve -9*l**4/4 - 10959*l**3/4 + 25605*l**2/4 - 18297*l/4 + 915 = 0 for l. -1220, 1/3, 1 Suppose -3*h**5/2 + 69*h**4/2 + 231*h**3 - 588*h**2 = 0. What is h? -7, 0, 2, 28 Factor r**4 - 108*r**3 - 16910*r**2 + 1872108*r - 1855091. (r - 119)**2*(r - 1)*(r + 131) Solve -2*y**3 - 126*y**2 + 128*y = 0 for y. -64, 0, 1 Factor -z**2/4 - 337912*z. -z*(z + 1351648)/4 Find a, given that -2*a**2 + 158230*a + 474708 = 0. -3, 79118 Solve -o**3 - 1508*o**2 + 6048*o = 0 for o. -1512, 0, 4 Find j such that -2*j**2/5 - 602*j/5 - 9656/5 = 0. -284, -17 Factor -5*w**2 - 48300*w - 116644500. -5*(w + 4830)**2 Let -1117249*m**4/6 - 3352804*m**3 - 15101889*m**2 - 85644*m - 243/2 = 0. What is m? -9, -3/1057 Factor -2*r**2/3 + 2044*r/3 - 8144/3. -2*(r - 1018)*(r - 4)/3 Factor -q**3/2 + 7583*q**2 - 106095*q/2 - 136431. -(q - 15159)*(q - 9)*(q + 2)/2 Factor -3*l**3 - 1569948*l**2 + 3139905*l - 1569954. -3*(l - 1)**2*(l + 523318) Determine a, given that a**4/3 + 6644*a**3 + 99341086*a**2/3 + 66207460*a + 99301225/3 = 0. -9965, -1 Suppose -f**5/7 - 216*f**4/7 - 1610*f**3 - 61896*f**2/7 - 90009*f/7 = 0. What is f? -137, -73, -3, 0 Find k, given that -3*k**2/4 + 38607*k/4 + 270543/2 = 0. -14, 12883 What is r in r**5 - 2750*r**4 - 2752*r**3 + 2750*r**2 + 2751*r = 0? -1, 0, 1, 2751 Let 3*v**5 + 1827*v**4 - 109371*v**3 + 1562253*v**2 + 109368*v - 1564080 = 0. Calculate v. -665, -1, 1, 28 Factor -5*z**2 - 81660*z - 489780. -5*(z + 6)*(z + 16326) Factor -p**2/2 - 309087*p + 618175/2. -(p - 1)*(p + 618175)/2 Factor b**4 - 6597*b**3 + 10790438*b**2 + 296556480*b - 636221952. (b - 3312)**2*(b - 2)*(b + 29) Determine l so that 75*l**5 + 380*l**4 + 25*l**3 - 1500*l**2 - 1300*l - 80 = 0. -4, -2, -1, -1/15, 2 What is w in -16*w**2 + 379892*w - 94972 = 0? 1/4, 23743 Factor 2*b**4/3 - 60136*b**3/3 + 450777692*b**2/3 + 6337432360*b + 66635989350. 2*(b - 15055)**2*(b + 21)**2/3 Let -2*t**5 - 2668*t**4 - 865362*t**3 + 16340152*t**2 - 37634272*t - 54837120 = 0. Calculate t. -676, -1, 4, 15 Solve 2*j**2/15 - 272*j/15 + 266/5 = 0. 3, 133 Find t, given that -6*t**4/7 - 473658*t**3/7 - 1335461814*t**2 - 9347759046*t/7 = 0. -39471, -1, 0 Factor 2*f**2/9 + 713944*f/9 + 63714504392/9. 2*(f + 178486)**2/9 Determine n so that -16*n**4 + 728636*n**3 - 11060573040*n**2 + 55964656123200*n + 13991855328000 = 0. -1/4, 15180 Find z, given that -110*z**5 - 1095*z**4 + 355*z**3 + 2790*z**2 - 2540*z + 600 = 0. -10, -2, 1/2, 6/11, 1 Suppose -6*t**2/13 + 153428*t/13 + 102288/13 = 0. Calculate t. -2/3, 25572 Factor 2*t**3 + 170*t**2 - 5188*t + 34320. 2*(t - 13)*(t - 12)*(t + 110) Factor -169*u**4/2 + 62673*u**3 + 19290*u**2 + 1484*u. -u*(u - 742)*(13*u + 2)**2/2 Factor -3*k**2 + 152250*k - 1931671875. -3*(k - 25375)**2 Factor 26*w**2/7 + 4526*w/7 + 348/7. 2*(w + 174)*(13*w + 1)/7 Determine p, given that 3*p**5/5 + 66*p**4/5 + 204*p**3/5 - 1794*p**2/5 + 1521*p/5 = 0. -13, 0, 1, 3 Find m such that 21*m**3 - 972*m**2 + 2769*m - 1818 = 0. 1, 2, 303/7 Solve -3*p**5/7 - 135816*p**4/7 - 814827*p**3/7 - 1765410*p**2/7 - 1629588*p/7 - 543192/7 = 0. -45266, -2, -1 Solve -2*o**5/5 + 248*o**4/5 + 772*o**3/5 - 1264*o**2/5 - 154*o + 1016/5 = 0. -4, -1, 1, 127 Find f such that -f**5/6 + 13*f**4/3 - 112*f**3/3 + 320*f**2/3 = 0. 0, 8, 10 Solve t**2 + 557*t - 2244 = 0. -561, 4 Let -2*x**2/9 + 254*x/9 - 1220/9 = 0. Calculate x. 5, 122 Find z, given that 49*z**4 - 17661*z**3 + 260376*z**2 + 153116*z + 22080 = 0. -2/7, 16, 345 Let -2*b**3 - 70*b**2 + 976*b - 1656 = 0. Calculate b. -46, 2, 9 Find u, given that -818*u**2 - 2639*u/3 - 185/3 = 0. -1, -185/2454 Suppose -2*v**4/11 - 210*v**3/11 + 14356*v**2/11 - 180024*v/11 - 419120/11 = 0. What is v? -155, -2, 26 Factor o**4 - 4554*o**3 + 5189280*o**2 - 10360352*o. o*(o - 2276)**2*(o - 2) Determine x, given that -2*x**5/9 + 50*x**4/3 - 1714*x**3/9 + 2150*x**2/3 - 868*x = 0. 0, 3, 7, 62 Find n such that 35*n**2 + 102440*n - 205020 = 0. -20502/7, 2 Suppose t**2/11 + 105*t/11 + 2736/11 = 0. What is t? -57, -48 Let 4*i**3/3 - 3460*i**2/3 - 35000*i/3 = 0. What is i? -10, 0, 875 Factor 2*o**3/9 - 24*o**2 - 150*o - 228. 2*(o - 114)*(o + 3)**2/9 Find v, given that 2*v**5/3 - 106*v**4/3 + 132*v**3 - 188*v**2/3 - 398*v/3 + 98 = 0. -1, 1, 3, 49 Factor i**3/3 + 100*i**2/3 + 2443*i/3 - 848. (i - 1)*(i + 48)*(i + 53)/3 What is l in -5*l**2 - 10245*l + 20510 = 0? -2051, 2 Factor -33*j**3/5 + 42759*j**2/5 - 13845168*j/5 - 3779136/5. -3*(j - 648)**2*(11*j + 3)/5 Factor 3*z**2/4 + 1959*z/2 - 116145/4. 3*(z - 29)*(z + 1335)/4 Factor 39*c**2 - 126069*c - 58194. 3*(c - 3233)*(13*c + 6) Factor 2*h**4/7 - 1208*h**3/7 + 191816*h**2/7 - 405888*h + 1580544. 2*(h - 294)**2*(h - 8)**2/7 What is m in -245*m**4 - 317436*m**3 - 513838116*m**2/5 + 176313024*m/5 - 151165
{ "pile_set_name": "DM Mathematics" }
- 6*v**2 - 6*v. Let i(j) = j**2 - 11*j - 6. Let d(o) = 5*i(o) + 3*n(o). Is d(9) a multiple of 7? True Let z(h) = -h - 1. Let x be z(-13). Let l = x - -42. Does 13 divide l? False Let s = 35 - -274. Suppose -339 - s = -12*i. Is 18 a factor of i? True Let s(n) = 25*n. Let d(k) = -3*k + 2. Let m(z) = z - 1. Let o(l) = d(l) + 2*m(l). Let p(w) = -2*o(w) - s(w). Is 13 a factor of p(-1)? False Let t(b) = -34*b - 14. Is t(-7) a multiple of 16? True Let o = -110 - -126. Is 8 a factor of o? True Let c = 360 + -282. Does 24 divide c? False Let p = -532 - -1489. Does 12 divide p? False Let w(r) = 5*r**2 + 2*r. Let x be w(2). Let c = x + -19. Suppose 4*j - j + 4 = 5*p, 5*j = c*p. Is p even? True Suppose 0 = -2*w - 3*s + 16, 5*s + 10 = -4*w + 8*w. Suppose -3*t - 970 = -4*d, -5*t + 54 - 1264 = -w*d. Let o = d + -153. Is 28 a factor of o? False Let f be 48/20 - 2 - 28/(-5). Suppose 131 = -f*j + 353. Is j a multiple of 37? True Let u(n) = n - 15. Let c be u(13). Let k be (-2)/c + (-12 - -1). Does 18 divide 270/12*(-16)/k? True Let i = -11 + 16. Suppose 14 - 4 = i*t. Is 10 a factor of (-489)/(-15) - t/(-5)? False Suppose 3*s - 699 = -4*c + 150, -2*s - 5*c + 573 = 0. Is s a multiple of 13? False Let s = 129 + -123. Is s*(38/4 - -5) a multiple of 11? False Let a be 4 - ((-30)/(-34) - (-4)/34). Suppose -w - 2 - 9 = 0. Let i = a - w. Is 14 a factor of i? True Let i(v) = -v**2 - v - 1. Let c(z) = -z**3 + z**2 + 5*z. Let d(w) = c(w) + i(w). Does 12 divide d(-4)? False Let d = 683 - 224. Does 25 divide d? False Let i(w) = 3*w**2 - w**3 + 2*w**2 + 3*w - 18 + 11*w**2. Let p be i(16). Suppose 7*x - p = 4*x. Is x a multiple of 6? False Let b = 30 - 28. Suppose -y - 5 = 0, 2*l = -b*y - 2*y - 32. Is 18 a factor of ((-316)/l)/(26/39)? False Let p(v) = -5*v - 8. Let k be p(-6). Suppose -k = -2*b + b. Suppose l - 11 - b = 0. Is 11 a factor of l? True Suppose 5*u + 30 + 30 = 0. Let h = 31 + u. Is 4 a factor of h? False Let k(r) = -5*r**2 - 2*r - 1. Let a be k(-1). Suppose -3*t - f - 4 = 0, 5*t + 8 = -3*f - 4. Does 5 divide (t + -1)*(-15 + a)? False Suppose -q - 7 = x, x = q + 3*x + 7. Let p be (2 + 4)/(-2) - q. Suppose p*r - 80 = 100. Is 15 a factor of r? True Let w(v) = -4*v + 4. Let j be w(12). Let g = j - -104. Does 15 divide g? True Suppose -w - f + 601 = -0*f, -3*w = f - 1801. Let k be w/(-13) - 4/(-26). Let h = k - -79. Is h a multiple of 16? False Is (2744/21)/7*18 a multiple of 12? True Let a = -18 - -19. Suppose -a = -5*r + 14. Suppose -5*g + 61 = -r*u, 3*u - 19 - 30 = -5*g. Does 11 divide g? True Let w = -8 - -10. Does 23 divide (20 - -3)/(3 - w)? True Suppose 7*q - 264 = 275. Suppose -q = -6*r - 5*r. Does 5 divide r? False Let g(h) = -3*h - 14. Let p = -17 - -11. Let k be g(p). Let a = k - -3. Does 7 divide a? True Let i be (-9)/(9/(-4)) + 1. Suppose 5*y - 3*x - 65 - 22 = 0, i*x = -2*y + 41. Does 3 divide y? True Let p(s) = s**3 + 14*s**2 + 14*s + 15. Let t be p(-13). Suppose 21 = t*o - 63. Does 17 divide o? False Is 30 a factor of 3/(-8) + ((-2895)/(-40) - -6)? False Let j(s) = s**2 + s + 1. Let z(a) = -7*a**2 - 5*a - 2. Let h(y) = -3*j(y) - z(y). Is h(4) a multiple of 47? False Does 36 divide 16/24*(6851/2 + -4)? False Suppose -s + 2*u = -9, 0 = -s - 4*u - 0 - 15. Does 11 divide 85 - (1 + 3 + -5 - s)? False Does 19 divide (58/(-4))/(6/(-12))? False Let v(q) = 28*q - 1. Suppose -4*a - 2 = -5*s, -3*a + 8 = 2. Does 11 divide v(s)? True Let x(f) = -f + 11. Let t be x(10). Let m be -867 - t*(3 + 0). Does 19 divide m/(-12) + 1/(-2)? False Suppose -3*r + 291 = 8*n - 5*n, 2*r = 2*n - 178. Let u = 173 - n. Does 11 divide u? False Let g be (-3)/((-9)/42*2). Let l be (g - 3)/(1*-1). Does 3 divide 18/l*(-6)/3? True Let l be (5/(-5))/((2/8)/(-1)). Suppose 2*k = -l*z + 410, 4*k - 5*k + 5 = 0. Is z a multiple of 25? True Let y = 1879 - 1142. Is y a multiple of 20? False Suppose 6*v + 601 = x + v, -5*v + 1262 = 2*x. Is 4 a factor of x? False Let t be (18/4)/((-3)/(-8)). Let p = t - -5. Is 6 a factor of p? False Let o = -48 + 28. Let i = 29 + o. Let t(y) = -y**2 + 11*y + 2. Is 20 a factor of t(i)? True Does 27 divide (-1)/6*-1612 - 2/3? False Suppose 0*g = -3*g + 1305. Let b = -279 + g. Does 27 divide b? False Let f = -49 - -171. Suppose 2*q - 30 = -2*w + f, -4*w = -q + 101. Is q a multiple of 13? False Suppose 24 = 5*n - 4*n. Suppose 4*r = r + n. Suppose -100 = 6*f - r*f. Is 10 a factor of f? True Let i = 4809 - 2081. Is i a multiple of 15? False Let n(x) = -4*x - 8. Let w be n(3). Let r be (-2712)/w + 2/5. Suppose r = 4*a - 4. Is 6 a factor of a? False Let w(q) = q + 5. Let z be w(-5). Suppose 4 = 2*p - z*p. Suppose -2*g - h = -36, 3*g - 5*h + 4 = p*g. Is g a multiple of 9? False Does 34 divide 1/(-8) + -3 + (-2276)/(-32)? True Is ((-11)/(-1) + -14)*-87 a multiple of 29? True Let q(s) = 5*s + 10. Let k be (-1)/4 + 26/8. Let t(w) = -11*w - 19. Let x(f) = k*t(f) + 7*q(f). Is x(10) a multiple of 13? False Let l = -7 - -160. Does 34 divide l? False Let t = 475 + -105. Does 20 divide t? False Suppose 12*j - 20*j = -3552. Suppose -2*u = 2*w - j, -w + 895 = 4*u - 4*w. Does 44 divide u? False Let a be (74/(-4))/((-1)/2). Suppose -5641*d - 368 = -5649*d. Let n = d - a. Is 2 a factor of n? False Let r(h) = 5*h - 1. Let k be r(1). Let n(x) = x**3 + 5*x**2 - 4*x - 8. Does 18 divide n(k)? False Suppose 96 = 8*m - 0*m. Is 2 a factor of m? True Is 5 a factor of (-18357)/(-24) - 33/(-264)? True Let b(l) be the second derivative of -l**5/20 + l**4 - 5*l**3/3 + 7*l**2/2 + 4*l. Is b(11) a multiple of 5? False Suppose -7*n = 51 + 33. Is (-1194)/n - (-3)/(-2) a multiple of 18? False Let r(v) = 1 - 2*v**2 + 3*v - 3*v**3 - 9*v**3 + 11*v**3. Is 5 a factor of r(-4)? False Is 34219/76 + (-1)/4 a multiple of 10? True Let a(v) = v + 42. Let j be (1/(-4)*0)/1. Suppose j = -2*z + 4*z. Is 14 a factor of a(z)? True Suppose 3*r = -2*o + 11 - 3, r + 1 = 3*o. Suppose 0 = -r*t + t. Suppose 2*z + 5*c = 1, t*z = 5*z + 5*c - 25. Is z a multiple of 7? False Let x(s) = s**2 + 3*s - 10. Suppose -5 = 5*b - 45. Is x(b) a multiple of 13? True Suppose 5*f + 13 = -12, 3*d - f - 923 = 0. Is d/(-12)*(-12)/3 a multiple of 9? False Suppose -3*y + 0*y - 9 = 0, 4*t = 5*y + 171. Let b be t/15 + 4/10. Is b/((-12)/8)*-14 a multiple of 14? True Let m = 2020 + -676. Is 56 a factor of m? True Suppose 0 = -2*c + r + 8, -9 = -3*c + 3*r. Suppose -c*t - 3*m = -0*m - 96, -3*t = m - 60. Does 8 divide t? False Let m be 2/(-4) + 35/(-14). Let r be (11/(-2))/(m/42). Suppose -4*g + 3*g + 5*n = -r, 61 = g + 3*n. Is 23 a factor of g? False Let a(l) = -7*l - 1. Let r be a(5). Is 112/3 - 24/r a multiple of 19? True Let c = 0 + -6. Let x be ((-1)/2)/(3/c). Is (-1)/x + -4 + 19 a multiple of 4? False Is 17 a factor of ((-10)/1 - -9)*(-837 - 0)? False Let z(v) be the second derivative of 0 - 5/6*v**3 + 3/2*v**2 + 1/12*v**4 - 5*v. Is 23 a factor of z(-6)? True Let g = -536 - -1633. Is 12 a factor of g? False Suppose -12 = -3*c, 4*d - 4*c + 3*c = 12. Suppose -5*y = -2*v + 30, -19 = -y + 4*y - v. Is 16 a factor of d/y + (-51)/(-2)? False Let v be (-16)/1*((-22)/(-4) - 3). Does 15 divide (v/6)/((-4)/18)? True Suppose 2*i = -3*i + 3380. Is i a multiple of 15? False Is 5 a factor of 272/(-6)*99/(-33) + 5? False Let s = 99 - -944. Suppose z = 2*z + 3, 0 = -5*p + z + s. Is 16 a factor of p? True Let b(a) be the third derivative of -a**5/60 - a**4/12 + 27*a**3 + 4*a**2. Let o be b(0). Let k = o + -79. Is 25 a factor of k? False Let y(p) = -24*p - 95. Does 9 divide y(-7)? False Let l(q) be the second derivative of 7/12*q**4 - 1/3*q**3 + q**2 + 9*q + 0. Is 6 a factor of l(1)? False Let t = 475 - -600. Is t a multiple of 25? True Let l = 12 + -5. Let j(c) = l - 4*c + 2*c + c - 2*c. Does 7 divide j(-5)? False Let r = 158 + -44. Suppose 2*w = -k - r, 5*w + 266 + 34 = 5*k. Let t = 103 + w. Is 23 a factor of t? False Is 12 a factor of -2*(-9)/24 + 15453/68? True Let l(h) = -h - 1. Let r(u) = -8*u - 4. Let f(z) = 18*l(z) - 2*r(z). Let s be f(-7). Suppose 4 = x - s. Is 4 a factor of x? True Suppose 2*l + 27 = 5*l. Let z be (18/l)/((-2)/(-3)). Suppose 5*n + 52 = z*c - 125, 268 = 4*c + 4*n. Does 32 divide c? True Let q(c) be the second derivative of 13*c**3/3 + c**2 - 5*c. Let j be q(6). Is 8 a factor of j/10 + (-6)/(-30)? True Suppose -4*i = -5*i. Suppose -3*f + g + g
{ "pile_set_name": "DM Mathematics" }
37 Calculate the remainder when 2158 is divided by 245. 198 Calculate the remainder when 15237 is divided by 137. 30 What is the remainder when 70361 is divided by 1675? 11 Calculate the remainder when 229248 is divided by 114573. 102 What is the remainder when 6443 is divided by 307? 303 What is the remainder when 3012 is divided by 2966? 46 Calculate the remainder when 14111 is divided by 7036. 39 Calculate the remainder when 215 is divided by 9. 8 What is the remainder when 351 is divided by 109? 24 Calculate the remainder when 24869 is divided by 3263. 2028 What is the remainder when 36765 is divided by 1414? 1 Calculate the remainder when 1152437 is divided by 40. 37 Calculate the remainder when 1653832 is divided by 16. 8 What is the remainder when 3045 is divided by 61? 56 What is the remainder when 108060 is divided by 54016? 28 What is the remainder when 227303 is divided by 36? 35 Calculate the remainder when 60631 is divided by 13. 12 What is the remainder when 13099 is divided by 465? 79 Calculate the remainder when 1771 is divided by 341. 66 What is the remainder when 5235 is divided by 404? 387 What is the remainder when 575 is divided by 281? 13 What is the remainder when 16732 is divided by 182? 170 What is the remainder when 20134 is divided by 347? 8 What is the remainder when 25881 is divided by 143? 141 Calculate the remainder when 458899 is divided by 230. 49 What is the remainder when 785041 is divided by 4? 1 Calculate the remainder when 1955895 is divided by 277. 275 Calculate the remainder when 59076 is divided by 19690. 6 Calculate the remainder when 1637 is divided by 543. 8 What is the remainder when 10623 is divided by 3? 0 Calculate the remainder when 1017 is divided by 445. 127 What is the remainder when 52580 is divided by 62? 4 What is the remainder when 1421 is divided by 781? 640 What is the remainder when 22300 is divided by 7310? 370 What is the remainder when 546 is divided by 489? 57 What is the remainder when 291814 is divided by 887? 878 Calculate the remainder when 141817 is divided by 3. 1 What is the remainder when 2472 is divided by 15? 12 Calculate the remainder when 4132 is divided by 21. 16 Calculate the remainder when 5514 is divided by 53. 2 What is the remainder when 37062 is divided by 598? 584 Calculate the remainder when 6010 is divided by 1772. 694 What is the remainder when 75638 is divided by 1644? 14 What is the remainder when 4416 is divided by 756? 636 What is the remainder when 131785 is divided by 84? 73 What is the remainder when 6986 is divided by 123? 98 What is the remainder when 13687 is divided by 90? 7 Calculate the remainder when 17034 is divided by 1214. 38 Calculate the remainder when 1383 is divided by 42. 39 What is the remainder when 92599 is divided by 20? 19 What is the remainder when 209542 is divided by 69? 58 What is the remainder when 490307 is divided by 84? 83 What is the remainder when 7155 is divided by 1233? 990 Calculate the remainder when 3777 is divided by 135. 132 What is the remainder when 114682 is divided by 1147? 1129 What is the remainder when 702896 is divided by 330? 326 What is the remainder when 10532 is divided by 5096? 340 Calculate the remainder when 19647 is divided by 4816. 383 Calculate the remainder when 562 is divided by 315. 247 Calculate the remainder when 776600 is divided by 19415. 0 What is the remainder when 90401 is divided by 262? 11 Calculate the remainder when 123959 is divided by 14. 3 What is the remainder when 25587 is divided by 157? 153 Calculate the remainder when 35926 is divided by 479. 1 Calculate the remainder when 16922 is divided by 1211. 1179 What is the remainder when 2054 is divided by 381? 149 Calculate the remainder when 7383 is divided by 51. 39 Calculate the remainder when 52924 is divided by 3299. 140 What is the remainder when 117846 is divided by 58918? 10 Calculate the remainder when 660 is divided by 228. 204 Calculate the remainder when 15116 is divided by 210. 206 What is the remainder when 106189 is divided by 48? 13 What is the remainder when 126309 is divided by 99? 84 Calculate the remainder when 743 is divided by 251. 241 Calculate the remainder when 12589 is divided by 229. 223 Calculate the remainder when 8324 is divided by 246. 206 Calculate the remainder when 292714 is divided by 97568. 10 Calculate the remainder when 24147 is divided by 12068. 11 What is the remainder when 5967 is divided by 36? 27 Calculate the remainder when 4519 is divided by 4377. 142 What is the remainder when 20951 is divided by 2641? 2464 Calculate the remainder when 60195 is divided by 158. 155 Calculate the remainder when 31405 is divided by 151. 148 Calculate the remainder when 5826 is divided by 413. 44 Calculate the remainder when 83 is divided by 15. 8 Calculate the remainder when 50964 is divided by 280. 4 Calculate the remainder when 5420 is divided by 1691. 347 Calculate the remainder when 33169 is divided by 55. 4 What is the remainder when 33547 is divided by 686? 619 Calculate the remainder when 388069 is divided by 194030. 9 What is the remainder when 2634090 is divided by 11? 8 What is the remainder when 43843 is divided by 16? 3 Calculate the remainder when 16108 is divided by 56. 36 Calculate the remainder when 77718 is divided by 67. 65 Calculate the remainder when 15314 is divided by 473. 178 Calculate the remainder when 26636 is divided by 1773. 41 Calculate the remainder when 13603 is divided by 1511. 4 What is the remainder when 67431 is divided by 55? 1 Calculate the remainder when 12579 is divided by 9. 6 What is the remainder when 11009 is divided by 9828? 1181 Calculate the remainder when 1050 is divided by 716. 334 Calculate the remainder when 7133 is divided by 6878. 255 What is the remainder when 79815 is divided by 22? 21 What is the remainder when 63360 is divided by 352? 0 What is the remainder when 385977 is divided by 395? 62 Calculate the remainder when 2080 is divided by 908. 264 Calculate the remainder when 3477 is divided by 231. 12 Calculate the remainder when 18217 is divided by 82. 13 What is the remainder when 9091 is divided by 406? 159 What is the remainder when 102193 is divided by 45? 43 Calculate the remainder when 88106 is divided by 17615. 31 Calculate the remainder when 1104 is divided by 999. 105 Calculate the remainder when 281373 is divided by 58. 15 Calculate the remainder when 516631 is divided by 678. 673 What is the remainder when 36090 is divided by 177? 159 Calculate the remainder when 205903 is divided by 21. 19 What is the remainder when 6142 is divided by 5? 2 Calculate the remainder when 3363 is divided by 185. 33 Calculate the remainder when 95615 is divided by 8. 7 What is the remainder when 225503 is divided by 348? 347 What is the remainder when 146410 is divided by 20915? 5 Calculate the remainder when 78904 is divided by 3757. 7 Calculate the remainder when 7748833 is divided by 148. 145 What is the remainder when 24641 is divided by 39? 32 Calculate the remainder when 13124 is divided by 98. 90 What is the remainder when 3869 is divided by 45? 44 What is the remainder when 88312 is divided by 64? 56 Calculate the remainder when 434718 is divided by 87. 66 Calculate the remainder when 150268 is divided by 128. 124 What is the remainder when 422707 is divided by 206? 201 Calculate the remainder when 566 is divided by 203. 160 Calculate the remainder when 28331 is divided by 436. 427 What is the remainder when 10526 is divided by 18? 14 What is the remainder when 144479 is divided by 602? 601 What is the remainder when 581 is divided by 195? 191 What is the remainder when 44400 is divided by 33? 15 What is the remainder when 218860 is divided by 19894? 26 What is the remainder when 29304 is divided by 9766? 6 Calculate the remainder when 23678 is divided by 1074. 50 Calculate the remainder when 766930 is divided by 1243. 1242 What is the remainder when 142869 is divided by 373? 10 Calculate the remainder when 6269 is divided by 95. 94 What is the remainder when 3810 is divided by 760? 10 What is the remainder when 41439 is divided by 26? 21 Calculate the remainder when 14459 is divided by 391. 383 Calculate the remainder when 414718 is divided by 40.
{ "pile_set_name": "DM Mathematics" }
nds digit of c? 2 What is the thousands digit of (-54 - (-1 - -5))*544/(-16)? 1 Let s = -386 + 389. Suppose -g = -4, y + g - 3056 = -s*y. What is the hundreds digit of y? 7 Suppose -8*j + 6 = -18. Suppose -3*h = -7*h + j*s + 1334, -341 = -h - 3*s. What is the tens digit of h? 3 Suppose -5*v - 9*z = -4*z + 8255, 0 = 5*v + 3*z + 8253. Let k = v - -2538. What is the units digit of k? 8 Let s(f) = -2*f - 3. Let r be s(-11). Suppose -644 = -r*o + 12*o. Let b = o + -67. What is the units digit of b? 5 Let q be ((-8)/(-20))/((-1)/(-5)*1). Let k be (9/6)/(q/36). What is the units digit of (4/6)/(2/k)? 9 Suppose 38*q - 54*q - 128 = 0. Let r(b) = b**3 - 5 - b - 2*b + 18*b**2 + 7*b - 7*b**2. What is the units digit of r(q)? 5 Suppose -16*c = 900 + 4076. Let p = c + 1598. What is the thousands digit of p? 1 Let y(i) = -417*i - 18. Let w be y(-3). Let b = -1797 + w. What is the units digit of ((-4)/8)/(2/b)? 1 Let k(h) = 3*h**2 + 24. Suppose 2*m - 13 = a, 5*a + 0 + 23 = 4*m. What is the units digit of k(m)? 1 Let w(t) = -4*t + 191. Let k be w(12). Suppose -i = -a - k, 435 = 3*i + 3*a - 0*a. What is the units digit of i? 4 Let z(h) = 5*h**2 - 7*h - 253. Let x(j) = -3*j**2 + 3*j + 127. Let n(s) = -5*x(s) - 2*z(s). What is the hundreds digit of n(-10)? 3 Let x(s) = -s**3 + 3*s**2 + 9*s + 3. Let l be 1*-2*(-3 - -5). Let n be -7 - (-5 - (l + 2)). What is the units digit of x(n)? 9 Let q be 174/9 - (-2)/3. Let y(d) = d**3 - 20*d**2 + 8*d - 30. What is the units digit of y(q)? 0 Suppose 6*g - 34 = 2. Let n(v) = 31 + 2*v - g - 16*v. What is the tens digit of n(-12)? 9 Suppose 2*l - 26093 - 23951 = 2*g, 0 = 5*l - 4*g - 125110. What is the thousands digit of l? 5 Let z be (-750)/110 - 4/22. Let j be 18/(z + 1) + 0/(-1). What is the tens digit of (-214)/3*j/2? 0 Suppose -20*d + 70 = -13*d. What is the hundreds digit of 5464/d + 0 - (-44)/(-110)? 5 Suppose -15*h + 17*h = -2*v + 131600, -4*h - 2*v + 263202 = 0. What is the ten thousands digit of h? 6 Let y(o) = 16 + 14*o - 2*o**2 + o**3 + 4*o**2 - 2*o**2 + 7*o**2. Let i be y(-5). What is the units digit of (220/33)/(i/(-30))? 0 Suppose -w = 3*d + 169, -d = -6*d + 3*w - 277. Let x = d - -56. Suppose -3*s - u = -0*u - 345, 3*u = x. What is the hundreds digit of s? 1 Suppose -i + 0*i = q - 442, 0 = -3*q - 5*i + 1320. Let u = -127 + -149. Let f = q + u. What is the hundreds digit of f? 1 Suppose 102 = 5*x + 4*t, 3*x = -4*t - 36 + 94. Suppose -11*z = -x*z + 3729. What is the tens digit of z? 3 Suppose 0 = -p - 7*p - 24. Let t(d) = -21*d - 2. Let g(k) = 22*k + 1. Let c(m) = p*g(m) - 4*t(m). What is the tens digit of c(3)? 5 Let k be (-2 - 9/(-5)) + 203/(-35). Let w = 65 - 147. What is the units digit of 5/15 + w/k? 4 Let p(c) = 7*c**2 - 2*c - 22. Let t be p(-9). Suppose -3*j + 379 = i, 2*j = 4*i - 897 - t. What is the tens digit of i? 6 Suppose j + 3 = 0, -3*k + 4*j + 32 - 8 = 0. Suppose 0 = -4*o + 2*o - 4*r, 2*o = k*r. Suppose 12*i - 14*i + 222 = o. What is the hundreds digit of i? 1 Suppose -8*g = 122 + 270. Let u(m) = -m**3 + 4*m - 5. Let z be u(5). Let t = g - z. What is the units digit of t? 1 Suppose -s + 6*s - 165 = 0. Suppose -s*y + 1003 = -6587. What is the units digit of y? 0 What is the thousands digit of (-22)/121 - ((-1)/22)/(9/11951514)? 0 Let u(n) = 4 - 4*n**2 + 4*n**2 - n**2 + 0*n - 8*n. Let y be u(-9). Let j(p) = 6*p**2 + 6*p - 9. What is the hundreds digit of j(y)? 1 Let z = -4959 - -8873. Suppose -u + 1320 = -z. Suppose -16*x + u = 1442. What is the units digit of x? 7 Suppose 0 = 6*r - 3*r - 15. Suppose r = 6*u - 13. Suppose 7 = -u*i + 10. What is the units digit of i? 1 Let m be (-2 - -8) + 8*1/(-2). Suppose m*l = 192 + 2012. What is the thousands digit of l? 1 Let v(y) = 1250*y + 1147. What is the tens digit of v(5)? 9 Let r(s) = s + 9. Let z = -40 + 26. Let j be r(z). What is the tens digit of -1 - (-1 - -381)/j? 7 Let j(q) = -q**3 - 5*q**2 + 13*q. Let n be j(-7). What is the hundreds digit of (0 + -1)/(n + (-5115)/730)? 1 Suppose 70 - 40 = -10*k. Let d(a) = 45*a**2 - 9*a - 7. What is the tens digit of d(k)? 2 Suppose -17*m + 3*p + 60000 = -14*m, 0 = 4*m - p - 79985. What is the thousands digit of m? 9 Let c = -19116 + 34009. Suppose 31*o = c + 24663. What is the hundreds digit of o? 2 Let d = 120 + -60. Let w = d - 57. Suppose 4*v + 0*u = -5*u + 166, -w*v + u = -134. What is the tens digit of v? 4 Suppose 5*k = 3*j + 1100, 0 = 6*k - 2*k + 2*j - 880. What is the units digit of (4/24*9)/(2/k)? 5 Let b = 27 + -160. Let r be ((-2125)/(-100))/(-17)*1*208. Let p = b - r. What is the units digit of p? 7 Let u(l) = l - 27. Let b be u(9). Let i be 12649/(-63) + 4/b. What is the tens digit of (i/6)/((-1)/2)? 6 Let h(d) = 67*d**2 + 44*d + 24. Let r be h(-10). Suppose -26*j + 27646 + r = 0. What is the hundreds digit of j? 3 Let t = 91921 + -46237. What is the thousands digit of t? 5 Let d be -62*1*(-5 + 4/8). What is the tens digit of -2 + (d - (-4 + 8))? 7 Let n(t) = 14*t**2 + 11*t - 31. Let h be n(7). Let i = -439 + h. What is the tens digit of i? 9 Let d(i) = 1402*i**2 + 142*i - 761. What is the tens digit of d(5)? 9 Suppose -3*i = -5*q - i + 12622, 0 = 4*q + 3*i - 10093. What is the tens digit of q? 2 Let c be (-2)/(-4) + (-4 - (-75)/10). Suppose -c*a = -5*x + 3*x + 10, 0 = -a - 5*x + 3. What is the tens digit of a/3 - ((-1600)/12)/2? 6 Let j be (0 + 450)*-4*1/(-6). Let n = 534 - j. Suppose 6*o = 12*o - n. What is the units digit of o? 9 Let h = 17 + -45. Let q be (h/70)/((-1)/55). Suppose z = f - 2*f + 8, 4*f = -2*z + q. What is the units digit of z? 5 Suppose -73*o - 30300 = -76*o. What is the hundreds digit of o? 1 What is the hundreds digit of (11911 - -219)/((-2)/(-5))? 3 Suppose 26*g - 77 = 1. Suppose 3*y - 4081 = 2*k, -g*y + 5*k + 4076 = 4*k. What is the units digit of y? 7 What is the units digit of ((8/10)/4)/(24/360) + 5401? 4 Suppose -190*z - 116*z + 71*z = -3374835. What is the hundreds digit of z? 3 Let d(u) = -4*u + 3*u**2 - 8 + 4*u**2 + 0*u**2. Let i(g) = -2*g**2 - 32*g + 30. Let f be i(-17). What is the tens digit of d(f)? 2 Let t be 1*(0 - -1 - (5 + 2)). Let z = t - -3. What is the tens digit of (8/z + 2/(-3))*-18? 6 Let o = 12821 + -8975. What is the thousands digit of o? 3 Suppose 41834 = 3*t + 5*h, -198*t + 197*t - 4*h + 13933 = 0. What is the thousands digit of t? 3 Suppose 6*j + 4*w - 101400 = 0, -5*w - 43823 = -3*j + 6856. What is the tens digit of j? 9 Let z = 42166 - 67587. What is the units digit of 8/36 - z/99? 7 Suppose -4*b + 4*q + 48 = 0, -5*b + 0*b + q = -48. Let m be (-6)/b + 628/6. Let h = m + -56. What is the tens digit of h? 4 What is the units digit of (2 - -369)*((-1746)/(-441))/((-9)/(-189))? 6 Let y = 34 + -117. Let q = 125 + y. Suppose -4*r + q + 210 = 0. What is the units digit of r? 3 Suppose -t - 3*m = -15, t + 3*t + 4*m = 20. Suppose 3*y - 2*h + 17 = t, 4 + 0 = -y - h. Let x = y + 83. What is the units digit of x? 8 Let l(f) = -201*f**3 - 38*f**2 - 12*f - 7. What is the ten thousands digit of l(-4)? 1 Let v = -403 - -1840. Suppose 3*u = -3*r + 975, 5*r - 4*u - 224 - v = 0. What is the hundreds digit of r? 3 Suppose 18 = 5*h + 3*d - 6, -d + 28 = 5*h. Let i be (h - 5)/(2/28 + 0). Suppose -11*c + i*c - 117 = 0. What is the tens digit of c? 3 Let g = -221 + 323. Suppose d - 7*d + g = 0. Suppose d = -5*l + 152. What is the tens digit of l? 2 Let n be ((-4)/(-10))/(((-24)/4)/(-14940)). Suppose 4*b - 18*h + 14*h - 1028 = 0, 4*b = -4*h + n. What is the hundreds digit of b? 2 What is the units digit of 44350/40 - (-8)/(-160)*-5? 9 What is the tens digit of (2194/8)/(4 - (-252)/(-64))? 8 Let h be 99/(4 - -5) - 8. What is the thousands digit of 2/h - 7646*(-2)/12? 1 Suppose -34*l + 640 = -19998. Let b = 922 - l. What is the tens digit of b? 1 Let x(w) = -w**3 + 3*w**2 + 5*w. Let f be x(4). Let d(s) = 5*s + 10. Let z(h) = h**2 - 14*h - 29. Let u(j) = 8*d(j) + 3*z(j). What is the units digit of u(f)? 3 Suppose 4*d = 4, 0 = -144*j + 149*j + 4*d - 32734. What is the tens digit of j? 4 Suppose 41 = 5*z - 4*y, 3*z + 16 = 5*y + 51. Suppose z*q = 81 - 71. Suppose 72 = q*b + 3*c - 152, -547 = -5*b - c. What is the tens digit of b? 0 Let j(m) = -5*m**3 + 16*m**2 + 29*m + 29. What is the thousands digit of j(-11)? 8 Suppose 4*u = l + 13, 2*u = 3*u + 4*l + 1. Suppose 0 = -u*t - t +
{ "pile_set_name": "DM Mathematics" }
*2 Collect the terms in 29*g**2 - 2*g**2 - 14*g**2 - 7*g**2. 6*g**2 Collect the terms in 22*v**2 + 6*v**2 - 16*v**2. 12*v**2 Collect the terms in 106*j**3 + 0*j**2 - j + 0*j**2 + 48*j**3. 154*j**3 - j Collect the terms in -2310*y - y**2 + 769*y + 772*y + 769*y. -y**2 Collect the terms in -122*t**2 + 163*t**2 - 36*t**2. 5*t**2 Collect the terms in 217*c**3 - 451*c**3 + 232*c**3. -2*c**3 Collect the terms in o**2 + o + 5*o - 14*o + 2*o. o**2 - 6*o Collect the terms in -4 - l**2 + 3*l**2 + 8 - 4. 2*l**2 Collect the terms in 24*m + 2 - 71*m + 31*m. -16*m + 2 Collect the terms in 3*t**3 - 8*t**3 - 7*t**3. -12*t**3 Collect the terms in -20*s**3 + 11*s**3 + 4*s**3 + 7*s**3. 2*s**3 Collect the terms in 329*w**2 + 1076*w**2 - 13*w + 13*w. 1405*w**2 Collect the terms in -2*g**2 - 7*g**2 + 14*g**2 - 4*g**2. g**2 Collect the terms in 2446*v**2 + 2442*v**2 - v - 4889*v**2 + v. -v**2 Collect the terms in -d**2 + 6558 - 3281 - 3277. -d**2 Collect the terms in -7*z**2 - 2*z**2 + 2*z**2 - 2*z**2. -9*z**2 Collect the terms in 2*y**2 - 12*y**2 + 9*y**2 + 2*y**2. y**2 Collect the terms in 314*j - 86*j - 114*j - 113*j. j Collect the terms in -3*d + 2*d + 197*d**3 - 510*d**3. -313*d**3 - d Collect the terms in 589 + 8*y**2 - 1181 + 592. 8*y**2 Collect the terms in -5*x + 5*x + 0*x - 1885*x**3 + 1887*x**3. 2*x**3 Collect the terms in 129069 - 129069 + g. g Collect the terms in -275*p + 545*p - 272*p. -2*p Collect the terms in -17*s + 17*s + 462*s**3. 462*s**3 Collect the terms in 4*c - 10*c + 6*c - c**3. -c**3 Collect the terms in -4*x**2 + 4*x**2 - 6*x**2. -6*x**2 Collect the terms in 8*y + 7*y - 6*y. 9*y Collect the terms in -6 - 3*j + 7 - 1. -3*j Collect the terms in 6*u - 69 + 4*u - 15*u. -5*u - 69 Collect the terms in 3*j - 12*j**3 + 8*j**3 + 32*j**3. 28*j**3 + 3*j Collect the terms in 0*f**3 + 8*f**3 - 2*f**3 - 5*f**3. f**3 Collect the terms in -5 + 1 + 4 - 86*c**2. -86*c**2 Collect the terms in 4*w**2 + w**2 - 6 + w**2. 6*w**2 - 6 Collect the terms in -18*x - 15*x - 12*x**2 + 45*x - 12*x. -12*x**2 Collect the terms in -7*p**2 + 7*p**2 + 119*p**3. 119*p**3 Collect the terms in -19 + 63 - 19 - 2*q. -2*q + 25 Collect the terms in 2 + 1592*v + v**2 - 1592*v + 10. v**2 + 12 Collect the terms in -42*p + 82*p - 38*p. 2*p Collect the terms in 102510*k - 102510*k + 37*k**3. 37*k**3 Collect the terms in -12*y + 27 + 3*y - 27. -9*y Collect the terms in -257 + 2*i**2 + 257. 2*i**2 Collect the terms in 14*r**3 - 14*r**3 - 10*r**3 - 8*r**3. -18*r**3 Collect the terms in 3*o**2 - 4*o**2 + 2*o**2 + 3*o**2. 4*o**2 Collect the terms in 0 - 3 + 24*i + 3. 24*i Collect the terms in 15 - 50*r**3 - 7 - 8. -50*r**3 Collect the terms in 15*d - 12*d - 4*d. -d Collect the terms in -25*o**2 + 26*o**2 + o**2. 2*o**2 Collect the terms in -79*u**3 - 78*u**3 + 158*u**3. u**3 Collect the terms in -16 + 8*u + 16. 8*u Collect the terms in d + 0*d + 3*d + 3*d. 7*d Collect the terms in -4*s**2 + 238 + 18*s**2 - 238. 14*s**2 Collect the terms in -34*d**3 - 30*d**3 - 29*d**3 + 86*d**3. -7*d**3 Collect the terms in -190*n**3 + 373*n**3 - 190*n**3. -7*n**3 Collect the terms in -498 + 12*x + 498. 12*x Collect the terms in -19005 + 19005 - 9*n. -9*n Collect the terms in 3*m**2 - 75 + 41 + 34 - m**3. -m**3 + 3*m**2 Collect the terms in -22*a**2 - 22*a**2 + 48*a**2. 4*a**2 Collect the terms in 766*h**3 - 21 - 383*h**3 - 382*h**3. h**3 - 21 Collect the terms in -6*q**3 - 5*q**3 + 32353 - 32353. -11*q**3 Collect the terms in -47*w**2 - 45*w**2 + 83*w**2. -9*w**2 Collect the terms in -2*c**3 - 7*c**3 - 19*c**3. -28*c**3 Collect the terms in -105*i - 267*i + 112*i. -260*i Collect the terms in -1 + 60*x**3 + 1 - 72*x**3. -12*x**3 Collect the terms in 96*n**3 - 191*n**3 + 99*n**3. 4*n**3 Collect the terms in -4*u - 3*u + 6*u. -u Collect the terms in 15*w**2 + 3*w**2 + 7*w**2 - 11*w**2. 14*w**2 Collect the terms in 230*r - 197 - 228*r + 197. 2*r Collect the terms in -8*p**3 + 10*p**3 + 0*p**3. 2*p**3 Collect the terms in 195*i**2 + 205*i**2 - 325*i**2. 75*i**2 Collect the terms in 3 + 0 - 3 + 788*t**3. 788*t**3 Collect the terms in -11*p + 3 - 7 + 4. -11*p Collect the terms in -4*x**3 + 40*x**3 - 19*x**3 + 0*x**3. 17*x**3 Collect the terms in -j - 11 + 2 + 6 + 3. -j Collect the terms in -29*m**3 - 36*m**3 + 93*m**3 - 32*m**3. -4*m**3 Collect the terms in -13*s**3 + 129 + 12*s**3 - 129. -s**3 Collect the terms in -7*d**2 + 12*d**2 + 2*d**2 + 8*d**2. 15*d**2 Collect the terms in 3*h**3 - 51*h - 26*h - 11*h. 3*h**3 - 88*h Collect the terms in 2*i - 12 + 21 - 9 - i. i Collect the terms in -34*u + 20*u + 14*u + 9*u**2. 9*u**2 Collect the terms in 342*r**2 - 3*r**3 + 341*r**2 - 683*r**2. -3*r**3 Collect the terms in -48*s**2 + 127*s**2 - 53*s**2. 26*s**2 Collect the terms in -2209 - 15*d + 2209. -15*d Collect the terms in -52*z**2 - 41*z**2 - 44*z**2 - 41*z**2 + 180*z**2. 2*z**2 Collect the terms in -1 + 97*f - 8 + 9. 97*f Collect the terms in -7*v - 32 + 32. -7*v Collect the terms in 7*a - 22*a - 21*a - 19*a. -55*a Collect the terms in 5334*f - 5327*f + 1 - 4 + 3. 7*f Collect the terms in -226*b**2 - 378*b**2 + 153*b**2. -451*b**2 Collect the terms in 13*s**3 - 491 + 491. 13*s**3 Collect the terms in 71*h - 107*h + 25*h. -11*h Collect the terms in -37*a + 107*a - 36*a - 32*a. 2*a Collect the terms in 2*f + 4*f + 224 - 224. 6*f Collect the terms in 0*k + 28*k**2 - 35*k**3 + 0*k. -35*k**3 + 28*k**2 Collect the terms in -957 + 1915 - 958 + 0*x**3 + 2*x**3. 2*x**3 Collect the terms in 2 - 12*y - 2 + 15*y**2. 15*y**2 - 12*y Collect the terms in 2*j**2 - 3*j**2 + 29 - 2*j**2. -3*j**2 + 29 Collect the terms in -20 + 7 + 0*p**2 - 2*p**2. -2*p**2 - 13 Collect the terms in -326*s**2 - 333*s**2 + 656*s**2. -3*s**2 Collect the terms in 4 - 1205*m**2 - 4 + 1211*m**2. 6*m**2 Collect the terms in -46*v**2 + v**2 + 8*v**2. -37*v**2 Collect the terms in 4*t - 4*t + 112*t**2 - 103*t**2. 9*t**2 Collect the terms in a**2 + 1 - 1 + 2*a**2 - 11*a**3. -11*a**3 + 3*a**2 Collect the terms in -43*l**3 + 1 + 6 + 26*l**3 - 7. -17*l**3 Collect the terms in -57*w**3 + 54*w**3 + 0*w**3. -3*w**3 Collect the terms in 18*b + 14 - 17 - 16*b. 2*b - 3 Collect the terms in 576*r**2 + 2 - 571*r**2 - 4 + 2. 5*r**2 Collect the terms in 16 + 4*b - 30 + 14. 4*b Collect the terms in -2*s**2 - 4*s**2 + s**2 + 6*s**2. s**2 Collect the terms in 205 - 205 - 11*p. -11*p Collect the terms in 27*u**3 + 20*u**3 - 29*u**3. 18*u**3 Collect the terms in -11*r**3 - 4*r**3 - 3*r**3. -18*r**3 Collect the terms in -5*n - 4*n + 0*n - 2*n. -11*n Collect the terms in 3*w**2 + 2 + 7 - 5*w**2 - w**2. -3*w**2 + 9 Collect the terms in -19 + 0*d**2 - d**2 + d**3 - 99. d**3 - d**2 - 118 Collect the terms in -3*h**3 - 9*h**3 + 11*h**3 + 2*h**2 - 2*h**2. -h**3 Collect the terms in -6 - 12 - c + 17. -c - 1 Collect the terms in -17442*g**2 + 1 - 1 + 17447*g**2. 5*g**2 Collect the terms in 373 - 775 + 402 - 2*l. -2*l Collect the terms in 5080 - 5080 - 30*m. -30*m Collect the terms in 24 - 17*o**2 - 2*o**2 - 12*o**2 - 22. -31*o**2 + 2 Collect the terms in 0*o**2 + 217*o - 4*o**2 - 118*o - 99*o. -4*o**2 Collect the terms in 211*s**2 - 3*s**3 - 2*s**3 + 3*s**3. -2*s**3 + 211*s**2 Collect the terms in -90*h + 26*h - 37 + 37. -64*h Collect the terms in -25 + 71 + 2*m**2 + 14*m - 14*m. 2*m**2 + 46 Collect the terms in 385*v + 2*v**2 - 385*v. 2*v**2 Collect the terms in -6*h**2 + 5*h**2 - 10 + 11*h + 10. -h**2 + 11*h Collect the terms in -5*w**2 + w**2 - 2*w + 3*w**2 - 4*w. -w**2 - 6*w Collect the terms in 2*j - 78*j**3 - j + 344*j**3 + j. 266*j**3 + 2*j Collect the terms in 30*r**2 - 16*r**2 - 13*r**2. r**2 Collect the terms in -65*w**2 - 62*w**2 + 95*w**2. -32*w**2 Collect the terms in 18293*q**3 - 9145*q**3 - 9145*q**3. 3*q**3 Collect the terms in -2*r - 73 + 73. -2*r Collect the terms in 104*z - 211*z + 104*z. -3*z Collect the terms in h + 2*h - 7*h - 7*h. -11*h Collect the terms in -11*w**3 + 51*w**3 - 39*w**3. w**3 Collect the terms in 4*d**3 + 22*d - 57*d + 18*d + 17*d. 4*d**3 Collect the terms in 0*u - 6*u + 0*u + u. -5*u Collect the terms in 14 + 11 - 24*h**2 - 25. -24*h**2 Collect the terms in 101 - 16*w**3 - 101. -16*w**3 Collect the terms in -3*i - 2301 + 2301. -3*i Collect the terms in 7*g**2 - 2*g**2 + 3*g + 11*g**2. 16*g**2 + 3*g Collect the terms in 6*m**3 + 7*m**3 - 216 +
{ "pile_set_name": "DM Mathematics" }
= 27, 0 = -4*l - 6*q - 40 for l. -7 Solve -4648*i + 4644*i + 6 = -22*j, -3*i - 13 = j for j. -1 Solve x - 3417 = 3*p - 3404, 2*x + 10 = -3*p for p. -4 Solve 4*k = 6*y + 14, k + 16*y + 2 = 12*y for k. 2 Solve 2*r + 4*d = -36, -3*d = 54*r - 49*r + 34 for r. -2 Solve k = -w + 7, -15 = 178*w - 179*w - 3*k for w. 3 Solve 5*d = -l - 22, l = 3*d - 3077 + 3095 for d. -5 Solve 0 = 2*l - 4*l + 4*n + 4, 3*n + 6 = 0 for l. -2 Solve -13 = -2*x + o, -52869*x - 22 = -52871*x + 2*o for x. 2 Solve 5*t - 91 - 8 = 21*c, 0 = -2*c + 2*t - 14 for c. -4 Solve 4*y - 26 = 5*f, 4*f = -5*y + 1902 - 1890 for f. -2 Solve 51*r - 5*v = 59*r + 95, -2*v + 24 = -3*r for r. -10 Solve t = -3*j + 6, 1119*j = 2*t + 1121*j for t. -3 Solve 667*b - 671*b = 5*m - 43, 2*b - 2*m = 26 for b. 12 Solve -180*l + 19 = -175*l - r, -2*l = 3*r + 6 for l. 3 Solve 482*r = 476*r + 3*n - 27, -2*n + 12 = -r for r. -2 Solve -2008 + 2000 = -j - 3*r, -2 = -4*j - 2*r for j. -1 Solve 1 = 5*m - 2*w, -22*m + 24*m + 2 = 2*w for m. 1 Solve -2*p = 10*m - 78, 2271*m - 3*p + 40 = 2275*m for m. 7 Solve 11*j = 13*j + 8, -3*j = -3*k - 3 for k. -5 Solve f - 4*y = -19, -4*y + 51 - 31 = 0 for f. 1 Solve 3*h - 16 = 5*i, -7*h + 10*h = -2*i + 23 for i. 1 Solve -9*f + 6*f - 28 = 4*x, 16*x - 4*f + 48 = 0 for x. -4 Solve 2*c + 30*w = 28*w + 4, -c + 2 = 4*w for c. 2 Solve 2 = 4*s + 2*l, 4*s + 306 = 3*l + 293 for s. -1 Solve 5*w = 5*u, u - 69 = -71 for w. -2 Solve 2*v + 47*y + 421 = 0, -24*y + 41 = -4*v - 29*y for v. 1 Solve -3*q + 20*i = 17, 3*q = 2*i - 205 + 206 for q. 1 Solve h + 4*l - 14 = 0, h - l - 50 = -51 for h. 2 Solve 3*d = -4*i + 20, i - 241 = 4*d - 236 for d. 0 Solve -5*n + 11 = -2*p, 2*p = -973*n + 970*n - 3 for n. 1 Solve 10 = 11*f - 16*f + n, 3*n + 2 = -f for f. -2 Solve 209*i + 22 = 207*i + 4*j, 4*i - 11 = -3*j for i. -1 Solve 5*r - 1931*b + 1927*b + 8 = 0, 3*b - 3 = 3*r for r. -4 Solve 28 = -4*j - 16*z, 4*j + z = 160 - 158 for j. 1 Solve 2*z = 5*d + 50, -990*d - 5*z = -994*d - 57 for d. -8 Solve 0 = -3*g - 2*s - 23, -g + 16*s = 14*s - 3 for g. -5 Solve 3*t + v = 2, -4*t + 541*v = 546*v + 12 for t. 2 Solve 87*u + 2 = 88*u - 2*k, -5*u + 5*k = -10 for u. 2 Solve 0 = 4*s - w - 52, -13 = -31*s + 30*s - 7*w for s. 13 Solve -2*u - 2*u = 9*u - 15*u + 6, -4*u + 1 = -11*g for g. 1 Solve 2*r + 4*s = 4, 188*r - 2*s + 42 = 179*r for r. -4 Solve 3*x = -j - 12, 505*x - 15 = 508*x + 2*j for x. -3 Solve -13*c - 10 = -4*c - 7*c, 0 = -2*r + 2*c + 24 for r. 7 Solve 2*u - 12 = -2*d, 3056*u = 3051*u - 4*d + 26 for u. 2 Solve -79*z - 70 = -74*z + 5*f, 0 = -2*z - f - 18 for z. -4 Solve f = -3, -2*x + 3710*f = 3706*f - 8 for x. -2 Solve -4*v - g = 15, 11*v - g + 21 = 6*v for v. -4 Solve 3*d = -2*r + 6, 5*d + r = 407 - 390 for d. 4 Solve 7*k + 2*w - w = -8*k + 18*k, -w = 4*k for k. 0 Solve 12 = l + 2*o, 127*l = 125*l + 2*o for l. 4 Solve 0 = 4*j - 77 + 105, 2*j = -5*h + h - 18 for h. -1 Solve -4*l = -41 + 25, -5*m = -3*l - 13 for m. 5 Solve -3*z = -5*o + 32, 2*z - 29*o + 32*o + 15 = 0 for z. -9 Solve 10 = 2*o - 3*v, -4*o + 52 + 8 = 4*v for o. 11 Solve 3*x = -2*n - 10, 5*n = 2*x + 56 - 62 for x. -2 Solve 5*o - 5 = 194*h - 199*h, -3*h + 24 = -4*o for h. 4 Solve 3*q = 1765*v - 1768*v + 27, -q - 5 = -v for v. 7 Solve 3*v - t - 6 = 0, -4*v + 41 = -1229*t + 1224*t for v. -1 Solve 4*f + y = 0, 15 = -5*f - 4458*y + 4453*y for f. 1 Solve -3*a = -5*c + 665 - 638, -c = 4*a + 13 for c. 3 Solve -7*d = m - 34, 5*m - 46 = d + 16 for d. 3 Solve -2*w - 2*n = 6, -5*n = 227*w - 231*w + 33 for w. 2 Solve q + 2*c = 0, 7*q + 3307 = 3*c + 3273 for q. -4 Solve 4*i - 8 = 4*x, 96*x - 2*i - 31 = 101*x for x. -5 Solve i + 7 = 3*r, -26023*r = 5*i - 26024*r + 21 for i. -4 Solve u = 8645*a - 8646*a - 11, -5*a = -u + 25 for u. -5 Solve 2*p + 9*k - 12 = 4*k, -5*k = 4*p - 24 for p. 6 Solve 7*f - 227*z = -230*z - 19, z = -8*f - 12 for f. -1 Solve 0 = f - 4, 49178*f - 24 = 4*x + 49175*f for x. -3 Solve 2*l - 3*k = -15, 45 = 4*l + 5*k + 42 for l. -3 Solve 3*z + 3*p - 36 = 0, 14*z = 17*z - 2*p - 41 for z. 13 Solve 3*t = -f + 10, 17*f - 22*f = 2*t - 11 for f. 1 Solve k + 6*m + 2 = 3*m, 2*k - 3*m - 3921 + 3907 = 0 for k. 4 Solve -36 = 4*w + 2*o, -o + 248 = 5*w + 299 for w. -11 Solve 0 = -4*n - h + 5, 6727*h = 3*n + 6732*h - 8 for n. 1 Solve -5*d + 5*v = -40, 0 = 4*v - 2*v + 4 for d. 6 Solve -26872*t - 4*h = -26867*t - 40, t - 2*h = 8 for t. 8 Solve 4 = -2*h + 3*r - 17, r = 5*h + 20 for h. -3 Solve -79 = 3*q - 20*u, 4*q - 859*u - 8 = -855*u for q. 7 Solve 0 = 24*x - 21*x - 4*p + 20, x - 3*p - 4 = -9 for x. -8 Solve -5*t - 51 = 17*i, 38*i + 2*t - 9 = 41*i for i. -3 Solve 3*m - 24 + 18 = -3*p, -4*p + 2*m = 22 for p. -3 Solve -o + 2*t - 13 = -9, -8*o + 4*t + 4 = 0 for o. 2 Solve 56*t = -2*s + 50*t + 36, -t + 8 = s for s. 3 Solve 4*w + 4*q = 48, -924 + 889 = -3*w - 4*q for w. 13 Solve -17 = 11*k - 6*k - 21*c, 5*k - 2*c - 21 = 0 for k. 5 Solve -7*m - 21 = -3*y - 3*m, -2*y = -m - 9 for y. 3 Solve 3*b = a - 16, -9*b = -a - 4*b + 26 for a. 1 Solve -2*w + k - 19 + 20 = 0, w + 3*k + 17 = 0 for w. -2 Solve -2*l - 69 = -a - 67, 0 = 3*l + 3*a + 3 for l. -1 Solve -4*d = -4*s - 16, -8*d = 1358*s - 1355*s - 21 for d. 3 Solve 0 = 2*j + 10, -5*c + 95*j - 97*j - 10 = 0 for c. 0 Solve -3*h + 10 = 5*l, 3*h + 30*l + 65 = 40*l for h. -5 Solve 0 = x - c - 15, -x - 4723 + 4753 = -2*c for x. 0 Solve 4*m = -10*i - 88, m + 3*i + 40 - 13 = 0 for m. 3 Solve -4*c = 5*d + 22, -54 = -2*d - 4*c - 58 for d. -6 Solve 5*y - 957 + 962 = -4*z, -3*y = -5*z - 34 for y. 3 Solve 26 = 2*o - 4*g, -5*o + 276 = -g + 292 for o. -5 Solve -140*v - 4*m + 8 + 7 = -143*v, -45*v + m = 225 for v. -5 Solve -6*o = 126*u - 125*u + 11, -8 = 2*o for u. 13 Solve 0 = -4*g + 5*f + 36, 51*g = 55*g - 4*f - 32 for g. 4 Solve 3*x = -4*t + 5, 0 = t - 62*x + 57*x - 7 for t. 2 Solve -2*h - 19*s = -15*s - 8, h = 2*s + 4 for h. 4 Solve -2*l = 2*m - 1736 + 1758, l = 2*m + 4 for l. -6 Solve -2*a = -5*g + 10, -4*a - 196 = -4*g + a - 188 for g. 2 Solve -5*v + 25 = 0, -3*v + 31 = -3*o - 14 for o. -10 Solve -3*n + 150*r = 153*r - 3, 0 = n + 3*r - 5 for n. -1 Solve -6*v - p = -27, -4*v - 9*p + 19 = -8*p for v. 4 Solve 6 = -i, 5*u - 22*u + 13*u = -i - 14 for u. 2 Solve 2*i = -158*n + 160*n, 2*n + i = -9 for n. -3 Solve -18 = -3*j + 3*r, r + 65 = -4*j + 64 for j. 1 Solve 5*z - 24 = 2*f, -5*f + 4*z - 133 + 124 = 0 for f. 3 Solve -3*r = 3*l - 24, -48 = -5*r - 118*l + 121*l for r. 9 Solve 0 = -3*j - 5*c - 11, 3*j - 3*c + 15 = 36 for j. 3 Solve -44*v = 5*q - 40*v - 4, 12 = q - 2*v for q. 4 Solve -2*d = 3*l - 15, 5*l + 5*d = -122 + 167 for l. -3 Solve -3*l = -4*r + 27, 13 - 14 = -l - 2*r for l. -5 Solve -5*h - 219 = -5*f - 149, -3*f - 4*h - 77 = 0 for f. -3 Solve -5*h - 2*r = 35, 0 = h + r - 744 + 754 for h. -5 Solve 2*q + 11 = u - q, -5*u = -2*q - 3 for u. -1 Solve -13*p - 14 = -2*f + 3*f, 96*p - 5*f = 91*p for p. -1 Solve -5 = -2*k - 3*m - 4, -2*k = -3*m + 17 for k. -4 Solve -4 = -4*o - 4*q, -3*q - 622 + 627 = 5*o for o. 1 Solve h + 5*p = 15 - 26, 0 = -18*h + 3*p - 12 for h. -1 Solve 3443*o = 3438*o + 10*a - 95, 2*o - 5*a + 48 = 0 for o. 1 Solve 0 = 4*g - 36, s + 4 - 18 = -2*g for s. -4 Solve 3*c + u - 11 = 0, 822*u = 2*c + 825*u + 2 for c. 5 Solve -5*v - f = 27, 15 = 343*v - 348*v - 5*f for v. -6 Solve 7*p = -3*x + 98, 2402*x = 2404*x for p. 14 Solve -26 = 4*d - 2*l, d + 32 = 11*d - 8*d + 4*l for d. -2 Solve -5*w + 7 = -15*d + 19*d, 3*d - 1 = 3*w - 11*w for d. 3 Solve 0 = 2*s - 2*s - 2*s - 14, 0 = a + 10*s - 17 + 83 for a. 4 Solve 5*x + 7262 = 5*j + 7307, 4*j = -4*x + 4 for x. 5 Solve j - 4*v = -10, 3*j + 4*v - 482 - 477 = -989 for j. -10 Solve -4*c - 17 = -d, 2*d + 936*c + 2 = 935*c for d. 1 Solve -19*q + 22*q = -5*d + 1, 5*q - 9 = -d for d. -1 Solve -246*d + 241*d + 3*r = 10, 4*d - r = -1 for d. 1 Solve -5*s - 2 - 23 = 0, -21 = -4*c + 23*s - 26*s for c. 9 Solve 5*g = -o - 21, 35 = -12*g - 4*o - 73 for g. 3 Solve -32*r + 34*r + 4*a = -20, 3*r - 3 = 5*a for r. -4 Solve n - l = -1401 + 1402, 4*n = 2*l - 8 for n. -5 Solve 0 = 4*m + k - 56, 105*m - 100*m - 70 = -7*k for m. 14 Solve p - j = 2, 67*p + j = 66*p for p. 1 Solve -3*n + 2*x + 21 = 0, -56*x + 59*x = 3*n - 21 for n. 7 Solve -10*a = -4*z + 26, 4*z - 5*z + 7 = -3*a for a. -1 Solve -2 = -3*c - 2*s - 15, 21 = 4*c - 5*s for c. -1 Solve 4*x - 2*w = 26, 79*w - 74*w = -5*x + 10 for x. 5 Solve -28 = -5*
{ "pile_set_name": "DM Mathematics" }
68. What is the remainder when 47 is divided by s? 15 Let v(n) = -3*n - 11. Let l be v(-9). Let y = l + -3. Calculate the remainder when 50 is divided by y. 11 Suppose -5*v = -3*u - 0 - 75, 2*u + 22 = v. Calculate the remainder when v is divided by 7. 5 Let c(a) = -2*a**2 + 14*a - 3. What is the remainder when 33 is divided by c(6)? 6 Suppose 18*t - 1309 = t. What is the remainder when t is divided by 21? 14 Let x be (-14)/(-8) + (-1)/(-4). Let a = 9 - x. Calculate the remainder when 20 is divided by a. 6 Suppose 0*h = r + 2*h - 31, -4*h - 133 = -3*r. What is the remainder when r is divided by 14? 11 What is the remainder when (9/4)/(-3)*-12 is divided by 57/15 + 2/10? 1 Let h be ((-12)/14)/((-3)/(-21)). Let v = -5 + 14. Calculate the remainder when h/((-3)/8*1) is divided by v. 7 Suppose 2*f - 10 = 4*u, 4*f = 3*f - 1. Calculate the remainder when (-1)/(38/(-12) - u) is divided by 2. 0 What is the remainder when 59 is divided by (-16)/(-2 + (-2)/(-2))? 11 Let w = 2 - -19. Suppose -2*l + 3*u + 22 = 0, -2*l + 3*l - 2*u = 11. What is the remainder when w is divided by l? 10 Suppose -4*r + 204 = -r. Let w = r - 4. Calculate the remainder when w is divided by 22. 20 Let t(n) = n**2 - 8*n + 23. Calculate the remainder when t(11) is divided by 29. 27 Let x(l) = l**3 - l**2 - 3*l - 3. Calculate the remainder when 230 is divided by x(4). 32 Suppose 5*j = 2*j. Suppose -w = -2*k - 1, j*k = -2*k + 3*w - 3. What is the remainder when 22 is divided by (10 - k) + 2/1? 10 Suppose -2*l = 2*t - 2, -t - 2 = t. Suppose l*d + 3*d = 40. Calculate the remainder when 21 is divided by d. 5 Let x = -10 - -9. Let t = x + 3. Suppose -t*y + 0 + 20 = 0. Calculate the remainder when 28 is divided by y. 8 Suppose 6 = 2*u + 4. Let v(i) = 0*i**2 - i**3 - 5*i**2 + 8*i + 4 - 2*i**2 - 3. What is the remainder when u is divided by v(-8)? 0 Let r(d) = -d**2 - 11*d + 3 + 3*d**2 - 4. Calculate the remainder when r(8) is divided by 14. 11 Let l(a) = -a**3 - 6*a**2 - 7*a - 5. Let n = -2 - 3. What is the remainder when 9 is divided by l(n)? 4 Let x = 71 + -47. Let b(n) = -9*n**2 - 8*n - 17. Let f(u) = 5*u**2 + 4*u + 9. Let s(i) = 6*b(i) + 11*f(i). Calculate the remainder when x is divided by s(6). 6 Let n(c) = -1. Let m(d) = 3*d - 5. Let i(f) = m(f) - 3*n(f). Calculate the remainder when 19 is divided by i(3). 5 Let s(p) = 43*p + 4. Calculate the remainder when s(1) is divided by 14. 5 Let v = 17 + -17. Suppose v = -3*j + 5*j - 30. What is the remainder when 41 - -2 - (0 + -1) is divided by j? 14 Let x(d) = 2*d + 41. Calculate the remainder when 49 is divided by x(-14). 10 Suppose -5*k + 90 = 2*d, 4*k = 2*k + 2*d + 22. What is the remainder when 23 is divided by k? 7 Let s = 3 - -1. Let l = s - 1. Let o(x) = x**3 - 2*x**2 + 2*x. Calculate the remainder when 59 is divided by o(l). 14 Suppose 2*c - 5*o - 17 = 0, -5*o - 14 = -2*c - o. Suppose -2*p + 7 = 5*i, i - 5 = 2*p - 6*p. What is the remainder when c is divided by i? 0 Let q = 8 + -5. Let k = -7 + 11. Suppose m = t - 12, -5*m - 18 = 5*t - k*t. What is the remainder when t is divided by q? 1 Suppose -18*g + 2 = -17*g. What is the remainder when -3 + 1 + g + 13 is divided by 5? 3 Let c = -18 + 31. Suppose 6*z + 10 = -5*y + z, -12 = -4*z. Let j = c + y. Calculate the remainder when 29 is divided by j. 5 Let v(l) = 14*l**2 - l + 1. Let a be v(1). Let d = 0 + a. Calculate the remainder when 39 is divided by d. 11 Let h = 3 + 32. Suppose -h = -5*v + 50. Calculate the remainder when v is divided by 9. 8 Suppose 4 - 5 = o. Let j = o - -5. What is the remainder when 10 is divided by j? 2 Suppose 0 = 4*j - 0*w + w - 57, 0 = 2*j + 2*w - 24. What is the remainder when 44 is divided by j? 14 Let f = -3 + 6. Calculate the remainder when 5/(f/(31 - 1)) is divided by 17. 16 Let t = 127 + -98. What is the remainder when t is divided by 5? 4 Let p be 2/(5 - 3) - -3. Suppose -u + 125 = 2*v, p*v + 3*u - 235 = -2*u. Let n(h) = -8*h - 2. Calculate the remainder when v is divided by n(-3). 21 Let b = 24 + -9. Suppose 2*z - 3*f = b, 4*z - 36 = -0*z + 4*f. Calculate the remainder when 45 is divided by z. 9 Let l be 3 + -7 - -5 - -3. Suppose l*w - 21 = 91. What is the remainder when w is divided by 15? 13 Suppose 41 + 79 = 10*q. Calculate the remainder when 23 is divided by q. 11 What is the remainder when 21 is divided by 4 - ((-12)/10)/(27/90)? 5 Suppose -24 = 7*m - 5*m. Let i(f) = -f**3 - 11*f**2 + 12*f + 7. Calculate the remainder when 25 is divided by i(m). 4 What is the remainder when 22 is divided by (84/16 - 4)*8? 2 Suppose -17*v = -18*v + 173. Calculate the remainder when v is divided by 44. 41 Let c = 44 - 42. What is the remainder when 5 is divided by c? 1 Let g(d) = -58*d + 2. What is the remainder when g(-1) is divided by 31? 29 Suppose 4*z = -16, -2*f - 3*f - 2*z + 367 = 0. What is the remainder when f is divided by 19? 18 Suppose 5*n + 3*t - 118 = -t, -5*n + 2*t = -136. What is the remainder when 48 is divided by n? 22 Suppose -z = -0*z + 17. Let c = 34 + z. Calculate the remainder when c is divided by 6. 5 Let z(k) = k**3 + 10*k**2 + 7*k - 11. Let n(r) = -r**2 + 8*r - 9. Let m be n(8). What is the remainder when z(m) is divided by 5? 2 Suppose 5*y = 4*y + 25. Suppose 0 = -b + 11 - 2. What is the remainder when y is divided by b? 7 Let c(s) = 9*s**2 + 17*s - 9. What is the remainder when c(-5) is divided by 33? 32 Let l be (-3)/(-3) - (-15)/(-3). Let r be ((-38)/l)/(2/4). Suppose 5*y + 2*w = 38, -2*y + 4*w - w + r = 0. Calculate the remainder when 21 is divided by y. 5 Let p(b) be the first derivative of 3*b**2 - 4*b + 2. Let h = 15 - 4. Calculate the remainder when p(6) is divided by h. 10 Let d = 104 - 77. Let t = -4 - -9. Suppose -25 - 10 = -t*c. What is the remainder when d is divided by c? 6 What is the remainder when 44 is divided by ((-4)/20*-5)/(1/23)? 21 Suppose -3*b + 22 = -83. Suppose 132 = t + 3*t. Calculate the remainder when t is divided by b/2 - 7/14. 16 Suppose -10*z = -6*z - 8. What is the remainder when 41 is divided by 16 + -3 + -1 + z? 13 Suppose -2*k = -5*s - 57, 2*s = 2*k - 37 - 29. What is the remainder when k is divided by 13? 10 Let k(t) = -2*t**2 - 7*t. Let v be k(-6). Let n be (-162)/v + (-2)/5. Suppose 2*s - s - n = 0. What is the remainder when 9 is divided by s? 4 Let h(f) = -f**3 + 12*f**2 - 14*f + 14. What is the remainder when h(10) is divided by 38? 36 Calculate the remainder when (-4)/(-12) - 565/(-15) - -4 is divided by 14. 0 Let t = 19 - -11. What is the remainder when t is divided by 11? 8 Suppose -4*p = -p - 84. Let z = -1 + -2. Let f(d) = d**3 + 4*d**2 - d - 2. What is the remainder when p is divided by f(z)? 8 Suppose 5 = l - 30. Let r = 26 - 14. What is the remainder when l is divided by r? 11 Suppose 5*s = v + 2, -6*v + v + 4*s + 95 = 0. Let h = -11 + v. Calculate the remainder when 33 is divided by h. 9 Suppose -q + 21 = 4*r, 4*q - 3*r + 8*r - 73 = 0. Calculate the remainder when q is divided by ((-5)/2 - -3)*18. 8 Let f be (-4)/4*(-19 - -2). Let x = f - 10. Let c(h) = -h**2 - h + 19. Calculate the remainder when c(0) is divided by x. 5 Suppose -2*y + 10 = -y. Let c = y + 10. What is the remainder when 58 is divided by c? 18 Suppose 3*i - 3*y - 66 = -i, 3*y = -2*i + 24. What is the remainder when 58 is divided by i? 13 Let f(t) = -t - 15. Let w be f(-7). Let s = -5 - w. What is the remainder when 29 is divided by ((-60)/(-16))/(s/8)? 9 Let q be 40/3 + (-4)/(-6). Let o(d) = -2*d - 7. Let c be o(0). Let b = q - c. Calculate the remainder when 40 is divided by b. 19 Let j = -64 + 89. What is the remainder when 372 is divided by j? 22 Let f(a) = 27*a - 12. Let b(s) = -s**3 - 3*s**2 - 2*s + 4. What is the remainder when b(-4) is divided by f(1)? 13 Suppose -5*o - 2 = 13, 5*q - o = -87. Let z = q + 49. Suppose -48 = -3*v + 5*f, 9 + 6 = -5*f. What is the remainder when z is divided by v? 9 Suppose 10 = 3*k + 2*k. Suppose m - 35 = 4*v - k*v, 3*v = 3*m - 93. What is the remainder when m is divided by 10? 7 Calculate the remainder when 97 is divided by 2*15/(-2)*(-20)/15. 17 Suppose 4*a - 10 + 2 = 0. Let s be (-3 + a)*4*-1. Suppose 3*y - s*n = 40, -3*y + 28 = -y - 3*n. Calculate the remainder when 23 is divided by y. 7 Suppose -36 = -3*f - f. Calculate the remainder when f is divided by 7. 2 Suppose 10 + 1
{ "pile_set_name": "DM Mathematics" }
o**3 - 136*o - 137*o + 276*o. -8*o**3 + 3*o Collect the terms in 219*l - 564*l - 27*l - 524*l. -896*l Collect the terms in -4*w - 8*w - 590 - 2*w. -14*w - 590 Collect the terms in 19*k**2 + 6 + 19 - 35 + 10. 19*k**2 Collect the terms in 19*u**3 - 3 - 1 + 2*u - 121*u**3. -102*u**3 + 2*u - 4 Collect the terms in -15 - 2 - 4*w - 2 - w + 7. -5*w - 12 Collect the terms in -201*j**2 - 61*j - 63*j + 220*j**2 + 124*j. 19*j**2 Collect the terms in -20*g + 9*g - 212*g**3 + 11*g. -212*g**3 Collect the terms in -19*o**2 - 172*o**2 + 5 - o**3 + 0. -o**3 - 191*o**2 + 5 Collect the terms in -41*k - 5*k + 3*k + 8*k + 33*k. -2*k Collect the terms in -1813*b - 2*b**2 + 5*b**2 - 22*b**2. -19*b**2 - 1813*b Collect the terms in -6*z**3 - 7*z**3 + 0*z**3 - 8*z**3 + 11*z**3. -10*z**3 Collect the terms in -1026*v - 30 + 2*v**3 + 4 + 1026*v. 2*v**3 - 26 Collect the terms in -14*k**2 - 9*k**3 - 65*k**2 + k**2. -9*k**3 - 78*k**2 Collect the terms in -10*k**3 - 26 + 13*k**3 - 20. 3*k**3 - 46 Collect the terms in -90*z - 235*z**3 - 418*z**2 + 418*z**2. -235*z**3 - 90*z Collect the terms in 33*w - 68*w - 467411 + 467411 + 32*w. -3*w Collect the terms in 3331*h + 3324*h - 9967*h + 3332*h. 20*h Collect the terms in 8*u**2 - 4179 - 2*u**3 + 0*u + 0*u - 8*u**2. -2*u**3 - 4179 Collect the terms in 4962*a**2 + 359*a**2 + 1421*a**2. 6742*a**2 Collect the terms in 15*k**3 - 120*k**3 + 21*k**3 + 12*k - 79*k**3. -163*k**3 + 12*k Collect the terms in 367*b**2 + 457*b**2 - 107*b**2 - 90*b**2. 627*b**2 Collect the terms in -168 + 168 + 80*k. 80*k Collect the terms in -1706*d**2 - 4 - 1704*d**2 + 3412*d**2 + 20. 2*d**2 + 16 Collect the terms in 39*y**3 + 2038524*y - 2038524*y. 39*y**3 Collect the terms in -502449197*j**2 - 5*j + 5*j + 502449199*j**2. 2*j**2 Collect the terms in 139*r - 23*r + 119*r + 69*r - 23*r. 281*r Collect the terms in 209*n**3 - 16*n**3 + 89*n**3 + 176*n**3. 458*n**3 Collect the terms in -4472*v - 1409*v**3 + 1407*v**3 + 4472*v. -2*v**3 Collect the terms in -35403*f + 35402*f - 59 + 59. -f Collect the terms in -452*q + 149*q + 152*q + 167*q. 16*q Collect the terms in 263 - 120 - 6*b**3 - 144. -6*b**3 - 1 Collect the terms in 208366*s**2 - 104178*s**2 - 104190*s**2. -2*s**2 Collect the terms in -2894*n**2 + 2881*n**2 + 28 + 39 - 16. -13*n**2 + 51 Collect the terms in -45*w - 50*w - 55*w + 159*w. 9*w Collect the terms in -4 + 5 + 4469*x - 4366*x. 103*x + 1 Collect the terms in -86*u**2 + 174*u**2 - 78*u**2. 10*u**2 Collect the terms in 9605*m - 4796*m - 4802*m. 7*m Collect the terms in -67*g**2 - 31*g**2 + 65*g**2 - 24*g**2. -57*g**2 Collect the terms in -28*k + 28*k + 0 + 377*k**3 + 0 - 378*k**3. -k**3 Collect the terms in -2836*g**2 + 1099*g**2 - 1152*g**2. -2889*g**2 Collect the terms in -63*k + 85*k - 350 + 697 - 347. 22*k Collect the terms in -1242 + 667 + 575 + 65*y - 63*y. 2*y Collect the terms in -51 + 55 + 271*n**2 - 4 - 542*n**2 + 275*n**2. 4*n**2 Collect the terms in 143*d**3 + 77*d - 129*d + 62*d. 143*d**3 + 10*d Collect the terms in -525*b - 535*b - 1 + 1 + 1050*b. -10*b Collect the terms in -97*f + 25 - 25 - 396*f. -493*f Collect the terms in 0*p - 215 + 561 - 2*p - 176 - 226. -2*p - 56 Collect the terms in -2900343 + 2900343 - v. -v Collect the terms in -4 + 0 + 2 + 293*o**2. 293*o**2 - 2 Collect the terms in 15 + 17 + 316*r**2 - 30. 316*r**2 + 2 Collect the terms in -2 - 3 + 10*a - 15*a + 1. -5*a - 4 Collect the terms in -304506*b**2 + 608963*b**2 + 2*b - 2*b - 304525*b**2. -68*b**2 Collect the terms in -a**3 + 138*a**3 - 68*a**3. 69*a**3 Collect the terms in -19*d**2 + 12*d**2 + 169*d**2. 162*d**2 Collect the terms in 198*g**2 - 313779*g + 156888*g + 156891*g. 198*g**2 Collect the terms in 169*l**3 - 1177*l**3 - 2*l - 2*l + 4*l. -1008*l**3 Collect the terms in -159*p**3 + 9 - 8 - 1 - p**2. -159*p**3 - p**2 Collect the terms in 4005*f**3 - 2059*f**3 - 2068*f**3. -122*f**3 Collect the terms in 7*s - 2178955 + 2178955 - 8*s. -s Collect the terms in 53 - 96 - 1901*i**3 + 43. -1901*i**3 Collect the terms in -68 - 62 - 57 + 253 + 3*b**2 - 66. 3*b**2 Collect the terms in 7 - 20 + 24*h + 8 + 7 - 200*h**2. -200*h**2 + 24*h + 2 Collect the terms in -115 - 18 + 4*a - 3*a - 35. a - 168 Collect the terms in -x + 210 + 293 - 253 - 250. -x Collect the terms in 521 + 2*l + 3524 + 2480. 2*l + 6525 Collect the terms in 2*y + 76*y - 11*y - 32*y. 35*y Collect the terms in -815*s**2 + 395*s**2 + 426*s**2. 6*s**2 Collect the terms in 13*z**3 - 834*z**2 - 7*z**3 - 825*z**2 + 1659*z**2. 6*z**3 Collect the terms in -4 + 0 - 7 - 38*m**2 + 7*m**2. -31*m**2 - 11 Collect the terms in -64251*r + 232*r**3 + 64251*r - 244*r**3. -12*r**3 Collect the terms in -49023*x**2 - 90741*x**2 - 53261*x**2 + 3623*x**2. -189402*x**2 Collect the terms in -37*l + 44*l - 99 + 58*l - 132 + 233. 65*l + 2 Collect the terms in 2*n - 26295 + 52586 - 26291. 2*n Collect the terms in 5*u - 2*u + 6*u - 14*u + 7*u. 2*u Collect the terms in 422 - 2*h**3 - 4*h**2 - 442 + 4*h**2. -2*h**3 - 20 Collect the terms in 142*j**2 - 48 + 48. 142*j**2 Collect the terms in -2118 + 432*k**2 + 2118. 432*k**2 Collect the terms in -7*d**3 + 4*d**3 + 6*d**3 + 81*d**2. 3*d**3 + 81*d**2 Collect the terms in 1273*y**3 + 658*y**3 + 1013*y**3 - 983*y**3. 1961*y**3 Collect the terms in -22003*q - 22034*q + 44033*q. -4*q Collect the terms in -64*n + 291*n - 62*n - 93*n - 62*n. 10*n Collect the terms in 2*c**3 - 18*c**3 - 51*c**3 + 2*c**2 - 3*c**3. -70*c**3 + 2*c**2 Collect the terms in 22 - 4*i**2 + 30 + 8 + 3 - 230. -4*i**2 - 167 Collect the terms in 454*r**2 + 102 - 99 + 3*r - 3*r. 454*r**2 + 3 Collect the terms in 11*c**3 + 12*c - 6*c**2 + 6*c**2 + 0*c**2 + 0*c**2. 11*c**3 + 12*c Collect the terms in 408*c**3 - 1 - 5*c - 10*c**2 + 1 + 11*c**2. 408*c**3 + c**2 - 5*c Collect the terms in -11*u**3 + 15*u**3 - 129*u + 1268*u - 117*u + 6. 4*u**3 + 1022*u + 6 Collect the terms in 70*s - 26 + 18 - 12*s. 58*s - 8 Collect the terms in -100*r + 243*r - 119*r. 24*r Collect the terms in -68 + 113 - 66 - 7*q + 21. -7*q Collect the terms in -4 + 440*g + 4 - 979*g. -539*g Collect the terms in -25*a**3 + 41*a + 144*a - 185*a - 62*a**3. -87*a**3 Collect the terms in -323*m - 5*m**2 + 85 + 323*m. -5*m**2 + 85 Collect the terms in -999*i**3 + 5389*i**3 + 2258*i**3. 6648*i**3 Collect the terms in 51*w**2 + 19*w**2 - 62*w**2. 8*w**2 Collect the terms in -34*h + 11*h + 16*h + 84 + 8*h. h + 84 Collect the terms in 56*i + 55*i + 7 - 10. 111*i - 3 Collect the terms in 2363*v**2 + 8 - 86 + 78. 2363*v**2 Collect the terms in -584*f**3 - 2*f + 4*f - 925*f**3. -1509*f**3 + 2*f Collect the terms in 5029*f**3 - 9768*f**3 + 4736*f**3. -3*f**3 Collect the terms in 9*h**3 - 105260 - 105187 + 210447. 9*h**3 Collect the terms in -17*g**3 + 9*g + 0*g - 13*g**3 + 56*g**3. 26*g**3 + 9*g Collect the terms in 188*z + 15 - 439*z + 250*z. -z + 15 Collect the terms in -8401*f - f**2 + 93 - 93. -f**2 - 8401*f Collect the terms in 48*x - 1 + 6 - 11*x + 0. 37*x + 5 Collect the terms in 3*z + 182*z**2 - 409*z**2 + 189*z**2 - 3*z. -38*z**2 Collect the terms in 25557*m - 31464*m - 31841*m. -37748*m Collect the terms in -359*l**2 + 1425*l**2 - 674*l**2. 392*l**2 Collect the terms in 2275*p**3 + 2376*p**3 - 4652*p**3. -p**3 Collect the terms in -2 - 35*g + 18*g + 5 - 42*g. -59*g + 3 Collect the terms in -44349*y**3 - 21517*y**3 - 14767*y**3. -80633*y**3 Collect the terms in 178 + 2*g + 57 - 2450 - 3203. 2*g - 5418 Collect the terms in 17 + 1142*t - 661*t - 483*t. -2*t + 17 Collect the terms in 5228461*d + 2*d**3 - 10456874*d + 5228413*d. 2*d**3 Collect the terms in 5293*g + 5424*g - 10705*g. 12*g Collect the terms in -32*r**2 - 38*r**2 - 37*r**2 + 91*r**2. -16*r**2 Collect the terms in 22*y + 67*y - 16*y + 7 + 9*y - 6. 82*y + 1 Collect the terms in -246441*m + 148050*m - 355515*m. -453906*m Collect the terms in 236*f - 1 - 24*f + 6. 212*f + 5 Collect the terms in 152*r**2 + 92006*r - 92006*r - 713*r**2. -561*r**2 Collect the terms in 833 - 240 - 28*w + 17*w + 9*w. -2*w + 593 Collect the terms in 21096*g**2 + 36 - 21103*g**2 - 36. -7*g**2 Collect the terms in 2*k + 64 + 9*k**2 + 2*k**3 + 2*k**3 - 9*k**2. 4*k**3 + 2*k + 64 Collect the terms in -x**3 + 30*x**3 + 2*x**3 + 1 - 63*x - 68*x + 131*x. 31*x**3 + 1 Collect the terms in -3*p**2 - 101 - 7*p**2 - 23*p**2 + 101. -33*p**2 Co
{ "pile_set_name": "DM Mathematics" }
culate the remainder when 27 is divided by j. 6 Suppose 0 = 4*s - 4*q - 64, 0*s + 5*s = 2*q + 83. What is the remainder when 49 + (1 - -2) + -2 is divided by s? 16 Let k be ((-2)/(-4))/(1/12). Let q = k + 11. Suppose -4*o = 2*o - 198. Calculate the remainder when o is divided by q. 16 Suppose 2*t - 4 = -4*r, -21 = -t - 5*r - 4. Let c(h) = h**3 + 7*h**2 - 13*h - 10. Calculate the remainder when c(t) is divided by 8. 6 Let w = 169 - 56. What is the remainder when w is divided by 29? 26 Let u(r) = -r**3 - 7*r**2 - 9*r - 2. Suppose 4*g - y = 122, 0*g - 3*g - 4*y + 101 = 0. Calculate the remainder when g is divided by u(-6). 15 Suppose -2*o + 6*o = -3*q + 382, -3*q + 3*o + 354 = 0. What is the remainder when q is divided by 31? 29 Suppose 6*n = 49 + 137. What is the remainder when n is divided by 17? 14 Suppose 4*i = 4*m + 7*i + 32, 5*m - i + 21 = 0. Let b = m - -10. Let q(x) = 2*x**2 + 16*x + 4. Calculate the remainder when b is divided by q(-8). 1 Let m = 34 + -20. What is the remainder when 25 is divided by m? 11 What is the remainder when 1*(-3)/((-3)/14) is divided by 4? 2 Let q(r) = r**2 - 4*r - 7. Let t = -16 + 23. What is the remainder when 25 is divided by q(t)? 11 Suppose 6*u - u + 25 = 0. Let n(f) = -7*f + 10. What is the remainder when n(u) is divided by 23? 22 Let r = -16 + 23. Calculate the remainder when 17 is divided by r. 3 Let k(y) = -y**2 - 8*y - 5. Suppose -1 = 3*w + 17. Let d be k(w). Calculate the remainder when 28 is divided by (2 - 1)*(d + 3). 8 Suppose -5*t - 3 = 2*i, i - 4*t = -2*i - 16. Let a = 5 + i. Calculate the remainder when 20 is divided by (7/(-3))/(a/(-3)). 6 Suppose 3*n - u - 77 = -2*u, -u = -4*n + 105. What is the remainder when n is divided by 14? 12 Suppose 3*c - 5*k - 242 = 0, 3*c + 3*k = c + 136. Calculate the remainder when c is divided by 26. 22 Let l = -10 + -3. What is the remainder when l*(2/1 - 4) is divided by 9? 8 Suppose 5*w - 86 = 3*w. Calculate the remainder when w is divided by 15. 13 Suppose 4*k = -3*i - 17 + 416, -2*i = -4*k + 414. Calculate the remainder when k is divided by 26. 24 Let h = -7 - -13. Let n = 17 - h. Calculate the remainder when n is divided by 4. 3 Let c be (6 - 7)/(1/7). Let s = c - -12. Let h(o) = 3*o**2 - 2*o - 2. What is the remainder when h(-2) is divided by s? 4 Suppose -87 = -p - 25. What is the remainder when p is divided by -21*(-2)/(-6)*(0 + -3)? 20 Suppose 5*o - 2*u = u + 101, 48 = 2*o - 5*u. Calculate the remainder when 35 is divided by o. 16 Let i = 25 - -6. What is the remainder when i is divided by 16? 15 Let t(h) = h**3 - 4*h**2 + 4*h + 1. Let b = 0 - -3. Calculate the remainder when 7 is divided by t(b). 3 Let f be (6/21)/((-1)/(-14)). Suppose -f*u + 104 = -48. Calculate the remainder when u is divided by 13. 12 Let j be 5*(-1 + 33/15). Let w = 3 + j. What is the remainder when 15 is divided by w? 6 Let v(l) = -l - 2. Let j be v(-2). Suppose -2*d = -j*d - 22. Suppose 5*y = 4*x + x + 90, x = -y + 22. Calculate the remainder when y is divided by d. 9 Suppose 4*a = 5*c - 66, -c = -0*c + 4*a + 6. Suppose f = -1, q + 4*f - f - 33 = 0. Calculate the remainder when q is divided by c. 6 Suppose 0 = -3*s - 0*s + 42. Suppose -s = n - 3*n. What is the remainder when n is divided by 2? 1 Let c = 11 + -5. Calculate the remainder when c*(0 + (-20)/(-6)) is divided by 7. 6 Suppose -2*p - 4 = -4*p. Suppose 3 = f - p*j - 1, -j = -4*f + 23. Suppose 2*x - 1 = 3. What is the remainder when f is divided by x? 0 Let w = 27 + -22. Suppose 0*p = -p + 5*g - 2, 0 = -w*p + 5*g + 70. What is the remainder when p is divided by 4? 2 Let u(o) = 2*o**3 - 5*o**2 + 1. Let l(f) = -f**3 - 7*f**2 - 7*f - 5. Let v be l(-6). Let a be -1*(v + 1)*-2. What is the remainder when u(a) is divided by 17? 15 Let i(o) = 6*o**2 - 5*o - 8. Let p(c) = -7 + 2*c**2 + 0*c**2 + 4 - 2*c. Let s(k) = 3*i(k) - 8*p(k). Calculate the remainder when s(-4) is divided by 10. 8 Let y(c) = -c**2 + 3*c + 4. What is the remainder when 15 is divided by y(3)? 3 Suppose 4*z + 1 - 9 = 0. Suppose 0 = z*m + 15 - 91. What is the remainder when m is divided by 13? 12 Suppose m = -m + 4. What is the remainder when 13 is divided by (-66)/(-8) + m/(-8)? 5 Let p = 68 + -107. Let n = -36 + 14. Let c = n - p. Calculate the remainder when 49 is divided by c. 15 Let x(j) = -j**2 - 11*j - 3. What is the remainder when x(-6) is divided by 15? 12 Let b = 5 + 16. What is the remainder when 61 is divided by b? 19 Suppose -v = 3*v - 60. Calculate the remainder when 73 is divided by v. 13 Let v(l) = -l**3 - 8*l**2 + 9*l - 30. What is the remainder when v(-10) is divided by 41? 39 Let m be (-52)/(-16) - 2/8. Suppose m*k + 4 = 43. Suppose -2*n + 4*n = 2*x + 68, 0 = 4*x - 12. What is the remainder when n is divided by k? 11 What is the remainder when 75 is divided by (-37)/(-2) - (7 + 60/(-8))? 18 Suppose 2*g + 16 = -2*g. Let w(p) = p**3 + 4*p**2 - 2*p - 1. What is the remainder when 12 is divided by w(g)? 5 Let t(i) = -i**3 - 15*i**2 - i + 35. What is the remainder when 146 is divided by t(-15)? 46 Let j = -23 + 35. What is the remainder when 43 is divided by j? 7 Let y(l) = -l**3 + 6*l**2 + 9*l - 10. Let v be y(7). Let r(c) = -3*c + 5. Let d be r(v). What is the remainder when 10 is divided by -1*(d + (-2)/(-2))? 4 Suppose -3*c + v + 3*v + 29 = 0, 2*c - 19 = 3*v. Suppose -2*w - 29 = -c. Calculate the remainder when 10 is divided by (-40)/15*w/4. 4 Suppose 0 = -5*g + 7*g - 50. What is the remainder when 97 is divided by g? 22 Let w = 131 - 61. Calculate the remainder when w is divided by 36. 34 Let l(r) = r**3 - 4*r**2 + 2*r + 3. Let t = -4 - -9. Calculate the remainder when l(t) is divided by 20. 18 Let r = -1 + 19. Calculate the remainder when r is divided by -5 + 0 - -4 - -8. 4 Suppose z - 16 = -h, -h - 4 = -2*z + 28. Let f(w) be the third derivative of 23*w**5/30 - 3*w**2. What is the remainder when f(1) is divided by z? 14 Let z be ((-4)/(-8))/((-1)/(-18)). Suppose 0 = n - 38 - z. Suppose 2*a - 10 = 2*l - 3*l, 0 = 4*l + a - n. Calculate the remainder when 34 is divided by l. 10 Let d = -25 + 85. Suppose t = 5*t + d. Calculate the remainder when 10/t - (-23)/3 is divided by 3. 1 Let h = 39 - 85. Let o = h + 105. What is the remainder when o is divided by 20? 19 Suppose 0 = 3*f + 4*c - 36, 0 = 2*f - f - 5*c + 7. What is the remainder when 21 is divided by f? 5 Suppose 38 = 3*s - 1. Let q = s + -8. Suppose 2*p - 28 = 4*o, -q*o - 38 = 3*p - 6*p. What is the remainder when 11 is divided by p? 5 Let r(l) be the third derivative of -5*l**4/24 + l**3/6 - 5*l**2. What is the remainder when 46 is divided by r(-3)? 14 Suppose 4 = q + 7. Let n = q + 21. What is the remainder when 52 is divided by n? 16 Suppose -33 = -2*v - 5. Let t = 4 + 1. Calculate the remainder when v is divided by t. 4 Suppose -o = -1 - 1. Suppose -3*c - 10 = -o*k, k + 4 = -k - 4*c. Suppose -k*i = -6*i + 8. What is the remainder when 3 is divided by i? 1 Suppose 4*l = -3 + 15. What is the remainder when 23 is divided by (5 - l) + 3 + 3? 7 Let w = -87 - -149. Let i = -20 + 52. Calculate the remainder when w is divided by i. 30 Let p = 31 + -17. Calculate the remainder when 25 is divided by p. 11 Suppose -10*i + 6*i + 16 = 0. Suppose 0 = -i*v - 80 + 328. What is the remainder when v is divided by 16? 14 What is the remainder when 4/(-2) - -52 - -2 is divided by -9*(4/1 + -6)? 16 Suppose 4*m + 6*t - 4*t = 98, -4*t = -4*m + 128. What is the remainder when 78 is divided by m? 24 Suppose 4*w = 180 + 28. Suppose 0 = 2*m - 4 + 2, -3*n - 5*m + 11 = 0. Calculate the remainder when w is divided by 696/39 - n/(-13). 16 Let x be (-1 - 0)*(-144)/(-6). Let s = x + 53. What is the remainder when s is divided by 8? 5 Let q be (-9)/21 - 48/(-14). Suppose -q*k + 2*k = -82. Calculate the remainder when k is divided by 21. 19 Let m be (-2)/5 + 194/10. Let p = -11 + m. Calculate the remainder when (-7)/3*6*-1 is divided by p. 6 What is the remainder when 55 is divided by (-220)/(-15) + 1 - (-4)/(-6)? 10 Suppose 4*w - 7 = 5*m + 37, -m - 12 = -w. Suppose w = -4*x + 6*x. Calculate the remainder when 14 is divided by x. 6 Suppose -z + 6 = -4. Suppose m - s = 40, -5*s + 0*s + z = m. Suppose 3*w = -2*w + m. What is the remainder when 27 is divided by w? 6 Suppose 5*d + 0*d = 135. Let g = -11 + d. Suppose -u = -
{ "pile_set_name": "DM Mathematics" }
of sequence rrir when four letters picked without replacement from {i: 6, r: 4}. 1/35 Calculate prob of sequence ajcc when four letters picked without replacement from {d: 3, a: 6, m: 1, j: 3, v: 1, c: 3}. 9/4760 Calculate prob of sequence ihi when three letters picked without replacement from iiiiiiiiiiih. 1/12 Three letters picked without replacement from {d: 4, y: 4, f: 3}. Give prob of sequence yff. 4/165 What is prob of sequence nufj when four letters picked without replacement from ufuufuiiiiujniuuij? 7/18360 Three letters picked without replacement from {s: 2, z: 1, q: 1, a: 1}. What is prob of sequence zqs? 1/30 Two letters picked without replacement from {u: 13, z: 5}. Give prob of sequence zz. 10/153 Three letters picked without replacement from yyvvycyv. What is prob of sequence vvc? 1/56 Four letters picked without replacement from {l: 2, o: 5, b: 4}. What is prob of sequence bbbl? 1/165 Calculate prob of sequence bb when two letters picked without replacement from bbbbbbb. 1 Calculate prob of sequence gwk when three letters picked without replacement from kwgok. 1/30 Calculate prob of sequence uwf when three letters picked without replacement from wffwffffwfwwwwufwfff. 11/855 Calculate prob of sequence uwro when four letters picked without replacement from orwjukrk. 1/840 Calculate prob of sequence lh when two letters picked without replacement from {v: 1, r: 2, l: 1, h: 2, q: 3, p: 8}. 1/136 What is prob of sequence vvv when three letters picked without replacement from {v: 5, w: 8}? 5/143 Two letters picked without replacement from dyx. Give prob of sequence yx. 1/6 Calculate prob of sequence mx when two letters picked without replacement from {m: 3, s: 5, x: 7, g: 2}. 21/272 What is prob of sequence plbp when four letters picked without replacement from {l: 1, f: 3, b: 2, p: 4}? 1/210 What is prob of sequence wmpb when four letters picked without replacement from pmtbmpwummmtt? 1/1716 Four letters picked without replacement from {s: 3, o: 2, j: 7, u: 4, d: 3}. Give prob of sequence joud. 7/3876 What is prob of sequence ll when two letters picked without replacement from llttl? 3/10 Two letters picked without replacement from vavvaae. Give prob of sequence va. 3/14 What is prob of sequence rz when two letters picked without replacement from {h: 1, z: 3, r: 8, a: 1, l: 2, q: 1}? 1/10 Two letters picked without replacement from {j: 10, w: 2}. What is prob of sequence jj? 15/22 Three letters picked without replacement from ttntqqtlli. What is prob of sequence nql? 1/180 Calculate prob of sequence ph when two letters picked without replacement from {h: 3, y: 4, p: 1}. 3/56 Three letters picked without replacement from {w: 4, q: 2, c: 1}. Give prob of sequence cwq. 4/105 What is prob of sequence ly when two letters picked without replacement from yyyyyllyylyllyllfy? 35/153 Two letters picked without replacement from ffffffffqqfq. What is prob of sequence ff? 6/11 Three letters picked without replacement from ffvbm. What is prob of sequence vbf? 1/30 Three letters picked without replacement from {v: 2, n: 1, f: 2, y: 3, j: 6}. Give prob of sequence jyj. 15/364 Two letters picked without replacement from {k: 3, t: 1, a: 2, d: 2, f: 4}. Give prob of sequence kt. 1/44 What is prob of sequence zlz when three letters picked without replacement from {z: 4, l: 7}? 14/165 Two letters picked without replacement from {s: 2, l: 2, c: 8}. Give prob of sequence ll. 1/66 Three letters picked without replacement from ppfffppfpccf. Give prob of sequence cpp. 1/33 Four letters picked without replacement from boboatbabsosabbbtbb. Give prob of sequence tstb. 1/2584 What is prob of sequence ii when two letters picked without replacement from {e: 3, i: 4, g: 1}? 3/14 Three letters picked without replacement from etjttcetjekjjecttnt. What is prob of sequence jjk? 2/969 Two letters picked without replacement from {h: 8, q: 4, b: 1, e: 2, v: 1}. Give prob of sequence be. 1/120 Calculate prob of sequence iiq when three letters picked without replacement from {c: 1, k: 2, g: 1, i: 2, z: 6, q: 3}. 1/455 What is prob of sequence is when two letters picked without replacement from {a: 1, z: 1, e: 3, s: 3, i: 6}? 9/91 What is prob of sequence ft when two letters picked without replacement from fefjfllfftjefj? 3/91 Three letters picked without replacement from tggetggetegeetee. Give prob of sequence gee. 1/16 Two letters picked without replacement from kwrkwbkxbowbkbk. What is prob of sequence ww? 1/35 What is prob of sequence ewcw when four letters picked without replacement from {f: 4, e: 1, b: 5, c: 1, w: 3}? 1/4004 What is prob of sequence jw when two letters picked without replacement from {o: 3, j: 4, r: 4, y: 7, w: 1}? 2/171 Calculate prob of sequence mao when three letters picked without replacement from {b: 1, r: 1, a: 1, o: 1, m: 1}. 1/60 What is prob of sequence ff when two letters picked without replacement from {x: 2, v: 4, b: 1, c: 7, d: 1, f: 3}? 1/51 What is prob of sequence ttb when three letters picked without replacement from unltnlucnubltuunltcc? 1/1140 Three letters picked without replacement from ewweeeeeew. Give prob of sequence wee. 7/40 Calculate prob of sequence olol when four letters picked without replacement from {o: 2, l: 9}. 1/55 What is prob of sequence aa when two letters picked without replacement from {a: 10, w: 4}? 45/91 Calculate prob of sequence ddf when three letters picked without replacement from dddfddddddddddd. 1/15 Calculate prob of sequence mk when two letters picked without replacement from {h: 2, n: 6, z: 1, m: 2, k: 4}. 4/105 What is prob of sequence tewt when four letters picked without replacement from tpupwttppet? 1/660 Four letters picked without replacement from {n: 2, k: 7, i: 3, t: 1, f: 4}. Give prob of sequence tnkf. 1/1020 Calculate prob of sequence plh when three letters picked without replacement from vvppphvlvvhhclppp. 3/340 Two letters picked without replacement from fvffbjffffffhff. What is prob of sequence hb? 1/210 Three letters picked without replacement from {z: 7}. What is prob of sequence zzz? 1 Calculate prob of sequence tvh when three letters picked without replacement from {h: 1, v: 10, t: 2, z: 1}. 5/546 Two letters picked without replacement from {z: 1, c: 6, j: 3, f: 3, b: 2}. Give prob of sequence jj. 1/35 Calculate prob of sequence opvo when four letters picked without replacement from {v: 5, o: 3, n: 2, p: 3}. 3/572 Two letters picked without replacement from frfefmmefxefxxmxxm. What is prob of sequence mr? 2/153 What is prob of sequence gdg when three letters picked without replacement from {d: 5, g: 6, t: 4}? 5/91 Calculate prob of sequence lcw when three letters picked without replacement from crwwlculzrcu. 1/110 Three letters picked without replacement from iewwq. Give prob of sequence qei. 1/60 Calculate prob of sequence iqmz when four letters picked without replacement from {z: 1, r: 2, m: 1, i: 2, q: 1}. 1/420 Three letters picked without replacement from pppppiiiplzlpzppzpp. What is prob of sequence lip? 11/969 Three letters picked without replacement from eezzgtzzzzpze. Give prob of sequence pzt. 7/1716 What is prob of sequence vdd when three letters picked without replacement from {v: 3, d: 13}? 39/280 What is prob of sequence ogo when three letters picked without replacement from pggggggpgoooggggg? 3/170 Calculate prob of sequence oaxx when four letters picked without replacement from {w: 4, a: 1, x: 3, o: 2, y: 1}. 1/660 Two letters picked without replacement from bbbbbgbbbbsbb. What is prob of sequence gs? 1/156 Four letters picked without replacement from dmvssmrvvdvdrtm. Give prob of sequence tdrd. 1/2730 What is prob of sequence az when two letters picked without replacement from zzzzalazn? 5/36 Calculate prob of sequence rrpq when four letters picked without replacement from {j: 1, z: 1, r: 2, q: 1, p: 1, y: 2}. 1/840 Calculate prob of sequence lslz when four letters picked without replacement from {r: 1, s: 1, z: 7, y: 4, l: 3}. 1/1040 Calculate prob of sequence zzt when three letters picked without replacement from {t: 4, z: 3}. 4/35 Three letters picked without replacement from vvuvvvvvvvvzvvuzzvvv. Give prob of sequence vuu. 1/228 Four letters picked without rep
{ "pile_set_name": "DM Mathematics" }
inator of m and 65/81. 567 What is the common denominator of -26/755 and (88/132)/((-80)/(-594))? 3020 Find the common denominator of (-72079)/(-1855) + -21 - 18 and (-339)/60 - (-5)/(-10). 1060 Let h = 26 - 21. Suppose -80 = 5*m + h*u, -8 = -2*m + 4*m - 4*u. Find the common denominator of 236/m - (-2)/2 and -88/15. 15 Let m = 17 + -25. Calculate the least common multiple of (4 - 42/9)*42/(-4) and (5 + m)*(-10)/3. 70 Suppose 3*p + 5*o - 79 = 0, -2*o - 28 = -p - 4*o. Let g be (14 - 4) + (-20)/(-5). Suppose 4*u - p = -g. What is the least common multiple of 2 and u? 2 Let i = 24 - 16. Let h = -85 + 145. Let a = -54 + h. What is the lowest common multiple of a and i? 24 Let j = 45 + -60. Let m be (0 + 1 + 9)*j/30. Calculate the common denominator of m/36*658/(-70) and 47/24. 72 Let f = -745743046333/1556073630 + -1719/1217585. Let r = f + 4310/9. Calculate the common denominator of -1*38*3/24 and r. 284 Let r(z) = -z + 1. Let t be r(-4). Suppose n + t*o = 3*n + 9, -27 = -4*n - 5*o. Let q = 3543 + -3519. Calculate the smallest common multiple of n and q. 24 Let o = 219 + -410. Let c = o - -193. What is the least common multiple of c and 14? 14 Let k = -9 + 6. Let p = k - 12. What is the common denominator of p - -11 - (-91)/11 and 8/9? 99 Let c = -101793641/810 + 125671. Find the common denominator of c and -161/1170. 10530 Let w be (10*2/135)/((-2)/38208). Let u be 4/(-14) + 39658/(-14). Let o = w - u. Find the common denominator of -46/3 and o. 9 Let d = 12526 - 12434. What is the lowest common multiple of 28 and d? 644 Suppose 2*f + 3*m - 135 = 0, 2*m - 120 = -4*f + 130. What is the lowest common multiple of 6/30 + 1968/f and 24? 264 Suppose -21*k + 2351 + 1742 = -4853. What is the smallest common multiple of k and 26? 5538 Let b = 46 + -48. Let l = 12 + b. Calculate the least common multiple of l and (2 + 1 + -11)*-1. 40 Let z = -77/34 - -5/51. Let o = -149 + 154. What is the common denominator of z and (-166)/(-8) + 14/(3 - o)? 12 Let h = -43289/52867 + -1/7292. Let f = 5669/810 - -154/81. What is the common denominator of f and h? 580 Suppose -2 = 3*d + 4. Calculate the least common multiple of 100/30 - d/(-6) and 9/2 - (-3)/(-6). 12 Let n = 19367 - 406619/21. Calculate the common denominator of n and -49/1725. 12075 Calculate the common denominator of 64/51 and 280/(-60) - (-169301)/36036. 55692 Let u = 45 + -36. Let t be ((-18)/(-8) + -2)*4. Let k = 7 - t. What is the least common multiple of k and u? 18 Let g(j) = 134*j + 1624. Calculate the smallest common multiple of 674 and g(-12). 5392 Let r = -507389822/9129 + 55580. Let v = -47677/15215 - r. What is the common denominator of v and (-8)/(-20) + 602/(-30)? 15 Let x = 1 + 1. Suppose -20*m + 357038 - 356978 = 0. Calculate the smallest common multiple of x and m. 6 Let s = 248947/148 + -1682. Find the common denominator of s and -73/24. 888 Let x = -279 - -267. Calculate the common denominator of ((-69)/x)/((-63)/(-12) - 0) and 59/24. 168 Let u(t) = 20*t + 10. Let r = 1099 + -1098. What is the smallest common multiple of r and u(6)? 130 Suppose -328 = -3*y + 5*c, -112 = -y + 11*c - 12*c. Calculate the least common multiple of (5 - 8)/((-20)/8 + 2) and y. 222 Let f = 961/8 - 453/4. Let z be (177188/108)/(2/6). Let a = z + -4915. Find the common denominator of a and f. 72 Suppose -3409 - 2141 = -111*u. Calculate the least common multiple of u and 3*8/(-10)*210/(-9). 1400 Suppose 17*w - 96 = -65 + 105. Calculate the least common multiple of w and 544. 544 Let l = -982 + 7809/8. Find the common denominator of l and (94 - 2 - 3)/(-20). 40 Let u = -10581/2852 - -87/23. Let g = -8189/140 - -891/14. Calculate the common denominator of g and u. 620 Let m(p) be the second derivative of -1/3*p**3 + 0 + 14*p**2 + 16*p. Calculate the lowest common multiple of m(8) and 9. 36 Suppose -3*d + 3*s = -816, d - 2*s + 1064 = 5*d. Calculate the smallest common multiple of 56 and d. 3752 Let k = -9 - -19. Suppose 169 + 83 = 21*y. Suppose v + 0 = -d + y, 2*v + 4*d = 32. Calculate the lowest common multiple of v and k. 40 Suppose 270 + 1361 = 7*w. Let m = w - 231. What is the smallest common multiple of 16 and m? 16 Calculate the common denominator of -19/14 and (12780/(-270))/(-14 + 0). 42 Let j = 333 + -335. Calculate the lowest common multiple of -2*((0 - -4) + j)/(-1) and 10. 20 Suppose 3*z + w = 9742, -3*w = 4*z + 12*w - 12880. What is the lowest common multiple of 90 and z? 29250 Suppose 0*q = 5*q - 3*t - 624, 3*t + 246 = 2*q. Let r = 216283/18 - 12021. Find the common denominator of 26/117 - 145/q and r. 126 Let m = 19 - 1. Let n be (-24)/(-40) + 36/15. What is the smallest common multiple of m and 16/(-4) - -7 - n*-3? 36 Find the common denominator of 50/147 and (3 + 162/(-147))/(10 - 238/4). 1617 Let c(b) = -b**2 + 3*b + 8. Let z be c(8). Let d = 48 + z. Let m = -510 - -518. Calculate the least common multiple of d and m. 16 Let t = 110844316/125 - 886738. Let h = t - -345861/500. Let m = h + -717. Find the common denominator of 109/44 and m. 44 What is the smallest common multiple of 749 and (-39)/((-3 - -2)/(7/21*7))? 9737 Let p = 8 - 3. Suppose 2*v + 5*a - 5 - 14 = 0, 15 = 5*a. Suppose 3*w = 2*j - 8, -3*w - 12 = -4*j - v. Calculate the smallest common multiple of p and j. 5 Let x be 3/(-6) - 1/(-2). Let m be 1/(2 - ((6 - 3) + x)). Let n(i) = 52*i**2 + 3*i + 1. Calculate the least common multiple of n(m) and 10. 50 Let g = 265 - 265. Let f be 62/5 + 2/(-5). Suppose -f + g = -3*a. What is the lowest common multiple of 14 and a? 28 Let n = -8309/10540 + 6/85. Let k be ((-5177)/(-3))/((-100)/(-30)). Let r = k + -519. Calculate the common denominator of n and r. 620 Let d = 7 - -7. What is the smallest common multiple of (-22)/4*(-39 + 33) + 2/1 and d? 70 Suppose -937 = -5*c - 4*j, 4*c + j - 760 = 3*j. Let g = -121697/12 + 10151. What is the common denominator of g and c/34 + -4 + -4? 204 Let b(m) = m**2 - 25*m - 23. Suppose 4*g - 6 = -5*c + 3*g, 2*g + 8 = 0. Suppose c*i + 232 = 6*i. Calculate the least common multiple of i and b(26). 174 Let d = 4317/68 - 355711/5576. What is the common denominator of 71/369 and d? 2952 Let l(r) = -r**3 + 15*r**2 + 64*r - 24. Let d be l(18). What is the least common multiple of 6 and d + -1*(6 + 2 - 2)? 150 What is the common denominator of 47/36 and ((-4)/20)/((-1728)/954)? 1440 Let a = -15208724170502 - -25852793120815320665/1699866. Let v = a + -12/10493. What is the common denominator of 71/18 and v? 162 Suppose 2*j + 12 = 36. Let m be (-1)/(-2) - (-394)/(-4). Let n = m + 126. What is the lowest common multiple of n and j? 84 Suppose 0 = 5*b + 5, -2*y - 2*y - 3*b + 25 = 0. Suppose -y*x = -15*x - 984. Find the common denominator of 3 - 2 - x/(-69) and 18/11. 253 Let n(m) = 6*m**2 + 24*m - 138. Let q be n(5). What is the common denominator of (0 - 1) + q/81 + 0 and -61/33? 297 Let c be (6/(-8))/(-3) + (-88070)/560. Let b = -1156/7 - c. Find the common denominator of b and 42/23. 184 Let n = -1877 - -1878. What is the smallest common multiple of 116 and n? 116 Let q be (-65)/(-25) + (-3)/5. Suppose -5*p - 6 = -56. What is the lowest common multiple of 27 - 12 - (-6)/q and p? 90 Find the common denominator of 8 - (-4)/((-302616)/605970) and 19/33. 46233 Suppose -p + 0*q - 28 = -q, -112 = 4*p - q. Let k = -34 - p. Let o = k - -15. Calculate the lowest common multiple of o and 8. 72 Let y = -22733/7056 - 1/2352. Let b be 88/220 - 1*30893/4050. Let m = -333/50 - b. Find the common denominator of m and y. 81 Let n = 11695 + -701693/60. Calculate the common denominator of n and 181/60. 60 Suppose -5*k - 132 = -11*k. Let d = 40 - k. Let h = 11 - -9. What is the smallest common multiple of d and h? 180 Find the common denominator of (((-2523)/(-147))/29)/(1/(-1)) and 31/104. 5096 Let m be 47/9 + 3*6/(-81). Suppose 0 = -m*o + 4*l + 1184, -o - 3*l - 12 + 264 = 0. Find the common denominator of 65/4 and (-1382)/o - 7/35. 24 Let d(i) = 45*i - 44*i - i**2 - 6 - 5 - 4. Let n be d(0). What is the lowest common multiple of (n/10 + -4)*(-6)/1 and 3? 33 Let p(u) = 22*u - 14. Let v(a) = -5*a**3 - a**2 + 5*a - 4. Let n be v(1). Let l be p(n). Let o = -115 - l. Calculate the least common multiple of o and 7. 63 Suppose -10*v + 5*v = -25, 0 = 3*z + 5*v - 1315. Suppose 15*p - z - 695 = 0
{ "pile_set_name": "DM Mathematics" }
ve 5*i + 4 = -4*t + 25, 1 = 5*i - t for i. 1 Solve 5*n - 25 = -17*p + 22*p, -4*p - 18 = -2*n for p. -4 Solve 2*v + 5*r = -18, -2*v + 4*r - 10 = 7*r for v. 1 Solve 5*y + 18 = 6*y - 3*u, u = -5 for y. 3 Solve -6*w = -3*p - 2*w + 18, 3*p - w - 9 = 0 for p. 2 Solve -2*o = -2*r - 0*r - 8, 5*o + 15 = -2*r for r. -5 Solve 3*h - 2*z - 58 + 41 = 0, -11 = 3*h + 5*z for h. 3 Solve 5*c - 35 = -3*w + 5*w, -w = -3*c + 20 for w. -5 Solve 0 = -5*d + 6*d - m, 0 = -4*d + 3*m for d. 0 Solve -4*m - 8 = 4*z, 44*z + 8 = 40*z - m for z. -2 Solve -5*a + 5*v = 25, -3*v - 5 + 20 = -a for a. 0 Solve -2*o + 18*z - 4 = 15*z, 2*o = 2*z - 4 for o. -2 Solve 3*y = -3*c - 12, -3*y = -0*y + 4*c + 14 for y. -2 Solve 0 = 4*o - 0*o - 3*g - 35, -3*o - g = -10 for o. 5 Solve 7*j - 3*y + 7 = 8*j, -5*y + 13 = 2*j for j. 4 Solve v - 25 = 6*v + 5*i, 2*i = -v - 6 for v. -4 Solve -m + 8 = -z, -4*m - 2*z - 2*z = 0 for m. 4 Solve 5 - 3 = h, -2*h + 20 = -4*o for o. -4 Solve 2*c = -3*z + 5, 0 = 4*z + 5*c - 1 - 8 for z. 1 Solve 3*o - 4*a + 7 = 0, 0 = 45*o - 46*o - 3*a - 11 for o. -5 Solve 0 = -3*w - 2*g - 10, 39 - 25 = -3*w - 4*g for w. -2 Solve -i - i + 6 = y, 0 = 2*i + 3*y - 2 for i. 4 Solve 0 = 4*n + 2*r - 6, -17*r = 2*n - 15*r - 2 for n. 2 Solve 7 = 5*y - 2*o, -4*y - 6*o + 9*o = -7 for y. 1 Solve 2*j - 5*q = 20, 4*j - 3*q = -q + 24 for j. 5 Solve 0 = f - 2*h + 1, 0 = -0*f + 5*f - 2*h - 3 for f. 1 Solve -7*v + 14 = -4*r - 4*v, -3*v - 16 = 2*r for r. -5 Solve 4*y - 3*a = -1, 2*y - 7 = -3*y + a for y. 2 Solve -y = -3, b + 15 - 8 = 3*y for b. 2 Solve -5*j + 249 = 3*l + 224, j = -5*l + 27 for l. 5 Solve 5 = -3*g - 4*a, 52*a = 6*g + 49*a - 12 for g. 1 Solve 3*c + p - 10 = 0, -2*p + 6*p + 5 = -3*c for c. 5 Solve 0 = -5*t + o + 5, -7*t + 0*t - 25 = 5*o for t. 0 Solve -97*b + 101*b - 16 = t, 2*b - 8 = t for t. 0 Solve 3*q - 5*j = 8, 17*q - 21*q + 4*j = 0 for q. -4 Solve -2*m = -2*a + 5 + 5, 3*a = -m - 1 for a. 1 Solve 2*z = -3*f + 8, 8*z = 10*z - f for z. 1 Solve -4*y - 8 = 5*v + 8, 5*y + 20 = 5*v for y. -4 Solve -5*x + 25 = -0*f - 5*f, f = 5*x - 9 for x. 1 Solve -9 = 12*i - 10*i + 3*y, 4*i - y = 3 for i. 0 Solve 2*z - 4*b - b - 2 = 0, 5*z + 5*b - 40 = 0 for z. 6 Solve 0 = -2*k + 5*y + 9, -2*k + y = 3 - 0 for k. -3 Solve -20 + 40 = -4*n + 2*m, 3*m + 6 = -3*n for n. -4 Solve -3*t + 3*x = 0, 2*t + 5*x - 2*x + 5 = 0 for t. -1 Solve -3*s = 4*f + 1, 5*f + 1 = -2*s + 2*f for s. 1 Solve -3*l - 4 = -t - 0, 5*l = t - 8 for l. -2 Solve 0 = 6*b - 8*b - 5*p - 10, 5*b + 3*p = -25 for b. -5 Solve 5 = n - 32*u + 27*u, -5*u - 5 = -2*n for n. 0 Solve -3*q = 4*x - 28, 2*q + 2*q = -x + 20 for q. 4 Solve -5*z + 1 = -j, -5*z + 0*j - 4*j = 4 for z. 0 Solve 1 = -u, 6 = 4*g - 4*u - 2 for g. 1 Solve 0 = b - 0*b - 4*n - 5, 2*b = -n - 8 for b. -3 Solve -46*v + 50*v = 12, v = 2*h - 3 for h. 3 Solve y = 2*t, 4*y + 5*t - 13 = -39 for y. -4 Solve 5*c - 22 = 4*o, 0 = -3*o + 9*c - 11*c + 18 for o. 2 Solve -7*i + 6*i = -3*p - 2, i - 9 = -4*p for p. 1 Solve -2*f - 3*i = -4, i + 3 = 1 for f. 5 Solve 3*u = -n + 17, 3*u + 3*n - 32 + 5 = 0 for u. 4 Solve -2*j + 10 = 0, l + 22 = 5*j - j for l. -2 Solve 4*y + 50 = -w + 39, 3*y - 4 = w for w. -7 Solve -3*g + 15 = a, -2*g - 4*a = -17 + 7 for g. 5 Solve -t - 5 = 0, -z + 0*t + 4*t = -25 for z. 5 Solve -12 = 5*l + y, 5*y - 18 = -37*l + 38*l for l. -3 Solve 4*p = 2*q - 26, -3*p - 2 - 7 = 2*q for q. 3 Solve -24 = 4*d - 4*z, 5*d + 0*z = -z for d. -1 Solve 2*v + 5*i + 11 = 0, 3*v - 2*i + 3 = -4 for v. -3 Solve 4*b = -5*i - 31, 1 = -2*i - 5*b - 25 for i. -3 Solve 2*w + 28 = 4*n, 5*w - 6 + 36 = 2*n for n. 5 Solve -2*k + 5*l = -k + 10, -4*k + 3*l = 23 for k. -5 Solve -2*f = 2*q - 9 - 1, -3*q = 5*f - 15 for f. 0 Solve 2*p - 7*p + 4 = -4*h, 5*p + 3*h = -3 for p. 0 Solve -2*d + 3*d = -4*p + 3, -2*d - 6 = -4*p for p. 1 Solve -p + 4*u = -6, -p - 3*u - u = 2 for p. 2 Solve -3*d = -5*h - 4, 10*h - 5*h - 5*d = 0 for h. -2 Solve -3*b - 20 = 4*y, -2*y - 4*b - 10 = b for y. -5 Solve 3*s + s + 9 = -5*m, 3*m + 23 = 2*s for s. 4 Solve -5*j + 3*i - i - 25 = 0, 3*i = 4*j + 27 for j. -3 Solve -l = 3*a + 1, 4*l - 3 - 1 = -4*a for l. 2 Solve -3*g + 20*i + 37 = 25*i, -4*g = -4*i + 4 for g. 4 Solve 5*s = 4*z, -1 - 18 = s + 3*z for s. -4 Solve -4*p = -18*d + 19*d - 20, -2*d - 10 = -2*p for p. 5 Solve -4*z = 5*c - 0*c - 32, -9 = -3*z for c. 4 Solve -2*m + 17 = 3*u, -20 = -5*u - 3*m + 8 for u. 5 Solve 0*x + 7 = x - 2*u, -u = -5*x + 26 for x. 5 Solve 4*f - 4*w - 32 = 0, 0*f + 2*w = -2*f for f. 4 Solve p - 4*x - 17 = x, -4*p = 5*x + 7 for p. 2 Solve -6*t = -7*t - 3, -5*z = -3*t - 14 for z. 1 Solve 3 = -5*c - 2*j, -c - 5*j + 3 = -1 for c. -1 Solve -4 = 4*s, -5*q + 1 + 8 = s for q. 2 Solve 5*k = 3*s + 29, -7*k + 12*k + 4*s - 8 = 0 for k. 4 Solve -5*c = -4*q + 4, -q - 2 = 3*c - 3*q for c. 0 Solve -7*j + 32 = -z, 10*j = 6*j + 3*z + 11 for j. 5 Solve -2*r - 3*r - 20 = -5*q, 3*r = 5*q - 10 for q. -1 Solve -15 = o + 3*b, 4 = 2*b + 14 for o. 0 Solve -5*r - 1 = -14*o + 10*o, 3*o = 3*r for o. -1 Solve 5*u = 4*t + 11, 5*u - 3*t - 8 = -1 for u. -1 Solve j - 3*s - 2 + 10 = 0, -2*j = 5*s - 6 for j. -2 Solve 0 = 2*v - 0*v - 5*q + 22, 5*q - 17 = -3*v for v. -1 Solve -2*u = -k - 3, 0 = -4*u - 7*k + 2*k - 1 for u. 1 Solve 17 - 1 = -4*l, 3*w - 4*l - 7 = 0 for w. -3 Solve -6*y - 4*h + 8 = -y, 2*y = 4*h + 20 for y. 4 Solve -55*n + 18 = -51*n + 2*k, k - 5 = 0 for n. 2 Solve 3*b + 3 = 4*d, -6*d + 7*d + b + 8 = 0 for d. -3 Solve -2*x = -v - 1 - 1, -v - 5*x + 19 = 0 for v. 4 Solve 5*l - 13 = 2*o + 2, -4*l = 4*o - 40 for l. 5 Solve 4*g = 3*x + 26, -3*g + 11 = 23*x - 21*x for g. 5 Solve -t + 24 = -5*g, 0*t - 4*t - 20 = 9*g for t. 4 Solve -4*g + 24 = b + 3*b, -6 = -2*b + g for b. 4 Solve -47 = 3*l - 2*d - 55, 3*d + 11 = 5*l for l. -2 Solve -5*i - 30 = 0, 9*i + 9 = 5*c + 10*i for c. 3 Solve 0*f - 10 = -2*f + c, 2*c = -8 for f. 3 Solve -c + 2*v + 10 = 4, c + 6 = -v for c. -2 Solve 2*r - 1 = 2*f + 1, -2*f - 2*r = -18 for f. 4 Solve 5*d - 46*y = -41*y - 25, 2*y - 14 = 3*d for d. -4 Solve -3*v + 0*v - 9 = -2*y, y = -v + 2 for v. -1 Solve 16 = -4*t - 5*v, -3*t - 27*v = -26*v + 1 for t. 1 Solve -2 = -2*d + n - 4, -4 = -2*n for d. 0 Solve 0 = 4*p - 4, -9*h - 4*p + 4 = -11*h for h. 0 Solve p + 4 = -3*h + 3*p, -h - 3*p + 17 = 0 for h. 2 Solve -12 = 3*r - b, -4*b + 16 = 4 for r. -3 Solve 0 = 4*k + 2*z + 12, -2*k - 20 + 22 = 3*z for k. -5 Solve 2*w + 5 = -5*d - 8, 2*d + 3 = -3*w for d. -3 Solve -q = -5*j - 0*q - 20, 0 = -j - 2*q - 15 for j. -5 Solve -11 - 9 = -4*u, 4*p = -2*u - 10 for p. -5 Solve 10*d - 4*u = 12*d + 4, d + 3*u = -2 for d. -2 Solve m + 0*w + 5*w = -15, m - 3 = 4*w for m. -5 Solve 17*f = -3*q + 22*f - 17, -5*q = 3*f + 17 for q. -4 Solve -5*l - 22 = 3*y, -2*y + 64*l = 65*l + 3 for y. 1 Solve 10*s = 3*q + 6*s + 3, 2*s - 6 = 0 for q. 3 Solve -3 = -4*v + g, -g + 3*g = -v + 3 for v. 1 Solve -3*t + 12 = 3*h, -21*t - 13 = -25*t - h for t. 3 Solve 0 = -5*s + 5, -2*s - 23 = -5*j - 0 for j. 5 Solve 0 = 4*w + 5*f + 33, -w + 3*f + 11 + 2 = 0 for w. -2 Solve 0 = -5*t + 3*h + 16, -2*h - h + 24 = 3*t for t. 5 Solve 4 = -4*j - 2*y, -y = 2*y for j. -1 Solve 0 = 4*j - b + 12, 1 = 3*j + 4*b + 10 for j. -3 Solve -3*n - 23 = 4*i - 15, 0 = -3*i + 5*n - 6 for i. -2 Solve 15 = -3*p - 5*a, 3*p + 15 = -0*p - 2*a for p. -5 Solve -3*u + 42 = 20*b - 15*b, -18 = -b - 3*u for b. 6 Solve -2*g + v - 3 = -2, 3*g = -v - 4 for g. -1 Solve -4*g + 12 = -3*v + 1, -3*v = 3*g - 24 for v. 3 Solve 0 = r + 4, -11*g + 28 = -6*g - 2*r for g. 4 Solve 0 = 4*b - 2*u - 2 - 16, 4*b - 3*u - 19 = 0 for b. 4 Solve -4*l - 17 = -2*h - 3, -5*h = -l - 17 for l. -2 Solve -3*h = 2*v - 25, 0 = 2*v - 0*h - 3*h + 5 for v. 5 Solve -4*i - 8 = 4*d - 2*i, -3*d = -i + 16 for d. -4 Solve 0 = 2*j - 3*m - 158 + 170, -3*j - 4*m = 18 for j. -6 Solve 5*v = 5*h + 35, -2*v - 21 = -23*h + 28*h for v. 2 Solve 5*d - 41*b + 37*b - 19 = 0, -2*d + b = -7 for d. 3 Solve 3 = 2*v - 5*l + 9, -4*v + 3*l = 12 for v. -3 Solve 0 = 2*o - 2*a, 3*o + 3*a - 5 = 7*o for o. -5 Solve -4*v = 3*c + 8, c - v - 25 = -4*c for c. 4 Solve -4*n + n = z, -3*z = -3*n for n. 0 Solve 3*i = -4*j - 104 + 123, -5*j + 23 = 3*i for i. 1 Solve 0 = -2*c + 4*j + j + 12, 0 = -3*c + 2*j + 7 for c. 1 Solve -5*s = 2*i - 4*i + 13, 0 = i + 4*s for i. 4 Solve -3*l - 7 = 2*k, -3*l - 17*k - 22 = -12*k for l. 1 Solve -26 = -5*o + 2*m, 0 = -2*o - 3*m + 37 - 38 for o. 4 S
{ "pile_set_name": "DM Mathematics" }
s divided by 35/3 - (16/r)/(-4)? 9 Suppose -2*c + 54 = c + 3*q, 0 = 4*c + 2*q - 66. Let f = 18 - c. What is the remainder when ((-4)/f)/((-8)/204) is divided by 12? 10 Suppose n + 50 = 3*n. Let v = n + -10. What is the remainder when v is divided by 4? 3 Suppose -4*c = c. Let d = c - -7. What is the remainder when ((-76)/6)/((-2)/3) is divided by d? 5 Let t = -81 - -131. What is the remainder when t is divided by 33? 17 Calculate the remainder when 272 is divided by (-88)/(-8) + -10 - 45/(-1). 42 Let m = -112 + 114. Suppose m = -x, -14*f + 10*f - x = -106. Calculate the remainder when 107 is divided by f. 26 Let g(y) = -77*y + 81. Let x be 1/(-3) + 11/(-3). Let t = x - -6. Calculate the remainder when g(1) is divided by t. 0 What is the remainder when (-3)/(18/(-687)) + (-3)/6 is divided by (0 + -31 + (-25)/(-5))/(-2)? 10 Suppose u - 16 = -3*i + 14, 21 = 4*i - 5*u. Calculate the remainder when 113 is divided by i. 5 Let h(d) = -d**3 - 11*d**2 + 19*d + 6. Let i(c) = 3*c**3 + 32*c**2 - 56*c - 17. Let m(n) = 17*h(n) + 6*i(n). What is the remainder when m(-6) is divided by 22? 20 Let d(t) = t**3 - 9*t**2 + 7*t - 4. Let x be d(6). Let r = -40 - x. Let c = 44 - r. Calculate the remainder when 41 is divided by c. 13 Suppose 5*a + 48*w - 540 = 43*w, 2*w = -5*a + 531. Calculate the remainder when a is divided by 9. 6 Let d(m) = 10*m**2 - m. Let v = -1 + 6. Suppose v = -4*s + 81. What is the remainder when s is divided by d(-1)? 8 Let h = 62 - 11. Let z(b) = 2*b**2 - 10*b + 6. Let r(x) = x - 1. Let c(u) = 5*r(u) + z(u). What is the remainder when h is divided by c(4)? 12 Let j(o) = -2*o**3 - 51*o**2 - 51*o + 1. Let x(p) = p**3 + 25*p**2 + 25*p. Let u(v) = -2*j(v) - 5*x(v). Calculate the remainder when u(-22) is divided by 5. 0 Let s = 351 - 322. Calculate the remainder when 56 is divided by s. 27 Suppose 392 = 8*m - m. What is the remainder when 159 is divided by m? 47 What is the remainder when 96 is divided by 6/(-33) + (-4504)/(-88)? 45 Let a(w) = -31*w + 2. Let p be a(-2). Suppose 4*g - 24 = p. Suppose -59 - g = -3*m. What is the remainder when m is divided by 15? 12 Let v(m) = 2*m**2 + 27*m + 40. Calculate the remainder when 152 is divided by v(-13). 17 Suppose 2*l = -10*l + 996. Calculate the remainder when l is divided by 12. 11 Suppose -1344 + 4152 = 6*m. Suppose -3*s - 2*s + 3*o = -m, 3*s = -2*o + 296. Let k = 140 - s. What is the remainder when k is divided by 15? 14 Suppose 2*n = 6*n. Suppose n = -4*s - 0*s + 72. Let a = 6881 + -6810. Calculate the remainder when a is divided by s. 17 Suppose -i + 2*g + 100 + 78 = 0, i - 170 = -2*g. Let y be (-3)/(0 - 2/(-74)). Let x = y + i. What is the remainder when x is divided by 32? 31 Suppose 3*l + q - 3 = 9, 4*l = -3*q + 21. Suppose 0*z - 2*z + 94 = -l*b, 34 = z + 5*b. What is the remainder when z is divided by 16? 12 Suppose -61*y + 49*y = -84. Let c = 11 - 8. Suppose 4*g - 3*k = 49, g - c*g + 2*k + 24 = 0. Calculate the remainder when g is divided by y. 6 Let d = -76 - -50. Let c = d - -45. Let x(v) = -v**2 + 15*v + 10. What is the remainder when c is divided by x(15)? 9 Suppose -7 - 1 = v + 5*f, -4*v + f - 11 = 0. Calculate the remainder when 32 is divided by (144/(-40))/(v/10). 8 Suppose 0*i + j = -3*i + 273, -2*i = -j - 187. Let a = i + -39. What is the remainder when a is divided by 27? 26 Let m(r) be the third derivative of -r**5/60 - 5*r**4/24 + 5*r**3/6 + 9*r**2. Calculate the remainder when 35 is divided by m(-4). 8 Let i(s) = s**3 - 4*s**2 - 8*s + 1. Calculate the remainder when i(6) is divided by 1/(-4) + 87/12. 4 Let v(o) = -4*o**2 + 39*o - 17. What is the remainder when 48 is divided by v(9)? 8 Let h(x) be the third derivative of -x**5/60 + 5*x**4/8 - 9*x**3/2 + 9*x**2. Calculate the remainder when h(11) is divided by 7. 3 Suppose 5*x - 66 = 124. Suppose 4*r = -j + 40, -6*r - 5*j = -4*r - x. Calculate the remainder when 37 is divided by r. 1 Let r = -7 - -22. Suppose -8 = r*j - 13*j. Let l(p) = p + 11. What is the remainder when 12 is divided by l(j)? 5 Let v = 6 + -17. Let x = 12 + v. Let n(y) = 26*y**2. What is the remainder when 76 is divided by n(x)? 24 Let d(q) be the second derivative of q**4/6 + 4*q**3/3 + 2*q**2 - 4*q. Let l be d(-5). What is the remainder when 51 is divided by l*1 - (-2)/(-2)? 12 Suppose -51 = -4*i + 37. Let x = i + -5. Calculate the remainder when 30 is divided by x. 13 Suppose 140 = 3*l + l. Suppose 0*a = a - h, -5*h = 2*a - l. Calculate the remainder when a is divided by 4. 1 Let n be (-26)/1*3*5/(-30). Let t(l) = 2*l + 1. What is the remainder when t(n) is divided by 7? 6 Let w be ((-8)/(-6))/((-278)/282 - -1). Suppose -d - 15 = 34. Let s = w + d. What is the remainder when s is divided by 23? 22 Suppose 2*d - d - 18 = 0. Suppose 4*l + d = 2*a, 3*l - 2*l = a - 6. Let x(z) = -z**3 - z**2 + 6. What is the remainder when x(0) is divided by a? 0 Suppose 2*z = -2*z - 4*i + 120, 2*z - 2*i = 48. What is the remainder when z is divided by 2? 1 Suppose q = 3*w + 5*q - 40, -20 = -3*w + q. Suppose -9 - 41 = -2*y. Let k = w + y. Calculate the remainder when k is divided by 9. 6 Let a(z) be the second derivative of -7*z + 1/6*z**3 + 14/3*z**4 + 0 + z**2. What is the remainder when a(-1) is divided by 10? 7 Let w(m) = -m**3 - 9*m**2 - 13*m + 3. What is the remainder when w(-8) is divided by 11? 10 Let d = 6 + 6. Calculate the remainder when 540/(-80)*(-16)/2 is divided by d. 6 Let p be -27 + (3 + -4)/(-1). Let c be 34/(-3)*117/p. Let g = 79 - c. What is the remainder when g is divided by 10? 8 Let v be (-6)/(-7)*336/36. Let g(c) = -7*c + 62. Calculate the remainder when 10 is divided by g(v). 4 Let w = 185 + 101. Let a = -143 + w. Suppose -l = -3*r + a, 0 = 5*r - 3*l - 227 - 14. What is the remainder when r is divided by 24? 23 Let f = 515 - 510. What is the remainder when 19 is divided by f? 4 What is the remainder when 3944/153 - 4/(-18) is divided by 7? 5 Suppose 3*k + 4*l - 9*l - 108 = 0, -5*k - l = -180. What is the remainder when 681 is divided by k? 33 Suppose 12*m = 376 + 8. What is the remainder when 138 is divided by m? 10 What is the remainder when 91 is divided by (10/(-35))/((-10)/2485)? 20 Let w(p) = -p + 2. Let x be w(11). Let l = -1 - x. Calculate the remainder when 31 is divided by l. 7 Let v(y) = 2*y**3 + 10*y**2 - 4*y - 14. Calculate the remainder when v(-5) is divided by 5. 1 Let o be (-233)/1 + 1 + 1. Let q be 2/(-4) - o/14. Let r = q + 0. Calculate the remainder when 60 is divided by r. 12 What is the remainder when 84 is divided by 30/6 - (0 - 20)? 9 Let x = 130 - 87. Let a be (2/3)/(4/(-30)). What is the remainder when x is divided by (-1)/a - (-518)/35? 13 Let j(v) = v + 18. Let p = -5 + 16. Calculate the remainder when (-57)/(-4)*(-8)/(-2) is divided by j(p). 28 Let f(o) = -o**3 - 13*o**2 - 13*o - 9. Let u be (-1)/(-8) - 1940/160. What is the remainder when 2*(4/(-2) + 6) is divided by f(u)? 2 Let y(x) = 12*x - 18*x - 32*x - 41. What is the remainder when y(-4) is divided by 19? 16 What is the remainder when 30 is divided by 76/8 - (-15)/10? 8 Let f(i) = 6*i**2 - 3*i - i**2 + 4 + 10 - 12. Calculate the remainder when f(2) is divided by 9. 7 Let j(t) be the first derivative of -t**3/3 - t**2 + 66*t - 30. Calculate the remainder when 8 is divided by j(-9). 2 Suppose -2268*l + 2280*l - 1692 = 0. Let b(s) = 3*s**2 + 2*s + 3. What is the remainder when l is divided by b(3)? 33 Let a(o) = 75*o + 65. What is the remainder when a(2) is divided by 36? 35 Suppose 4*k = -5*m + k + 265, 3*k + 15 = 0. Suppose 0 = -2*l + f + 100 - 2, 4*f = l - m. What is the remainder when l is divided by 26? 22 Let d = 905 + -894. Calculate the remainder when d is divided by 4. 3 Let h = 30 - 15. Suppose -229*z = -233*z + 528. Calculate the remainder when z is divided by h. 12 Suppose 0*b - 12 = -3*b. Let x be 1*21*(-4)/(-6). Suppose -a + x = 2*n + 4*a, 0 = a - 2. Calculate the remainder when b is divided by n. 0 Suppose 9*w + 12*w = 3150. Calculate the remainder when 592 is divided by w. 142 Let v(w) = 1 + w**2 + 0*w + 2 + 3*w. What is the remainder when (-9)/15 + (-906)/(-10) is divided by v(4)? 28 Suppose j + 54 = 66. What is the remainder when 167 is divided by j? 11 Suppose -8 = -0*s + 4*s. Let r be ((-3)/9)/(s/12). Suppose 0 = r*w - 8 - 24. Calculate the remainder
{ "pile_set_name": "DM Mathematics" }
) + 5*t(o)? -2*o Let l = -22 + 20. Let u(d) = 2 + d**3 + 1 + d**3. Let f(h) = -h**3 - 1. Determine l*u(n) - 6*f(n). 2*n**3 Let c(o) = -5*o**3 - 3*o**2 - 83*o + 3. Let y(u) = -6*u**3 - 4*u**2 - 84*u + 4. Calculate -4*c(v) + 3*y(v). 2*v**3 + 80*v Let t(a) = 6*a - 11. Let l(z) be the first derivative of -5*z**2/2 + 10*z - 20. Calculate 7*l(m) + 6*t(m). m + 4 Let o(q) = -6 - 256*q - 4 + 251*q + 4. Let h(c) = 1 - 2 - c - c + 3*c. Let k(b) = -5*b + 4. Let a(z) = 9*h(z) + 2*k(z). Determine -4*a(i) + o(i). -i - 2 Let d(t) = -2*t + 2. Let s(f) = 39*f - 30. Determine 18*d(x) + s(x). 3*x + 6 Let z be 18/(-8)*(-3)/9*4. Suppose -3*q = 4*o - 4, 3*o + 2*q + 0*q - 3 = 0. Let x(f) = f**2 - f - 1. Let l(s) = -s**2 + s + 2. What is o*l(m) + z*x(m)? 2*m**2 - 2*m - 1 Let x(p) = 2. Let w(z) = -z**2 - z - 9. Let d(i) = w(i) + 5*x(i). Let t = -149 - -148. Let q(v) = -2*v**2 - 5*v + 5. Determine t*q(c) + 5*d(c). -3*c**2 Let r(i) = -439*i. Let b(p) = -1324*p - 1. Give 2*b(x) - 7*r(x). 425*x - 2 Let c(n) = 3*n**3 - 19*n**2 - 98*n + 11. Let o(v) = v**3 - 7*v**2 - 33*v + 4. Calculate 4*c(k) - 11*o(k). k**3 + k**2 - 29*k Let r(w) = -365*w**3 - 3*w**2 + 6*w + 3. Let n(u) = -363*u**3 - 2*u**2 + 4*u + 2. Calculate 3*n(j) - 2*r(j). -359*j**3 Let s(l) = -5*l - 9. Let x(v) = v. Let q be (-5 + 8/4)*(-10)/6. Let k(u) = -6*u - 2. Let z(f) = q*x(f) + k(f). Let i = 4 + 5. Calculate i*z(y) - 2*s(y). y Let z(j) = -3*j - 167. Let m(i) = i + 84. Give 5*m(k) + 2*z(k). -k + 86 Let r(h) = h**3 - 312*h. Let y(j) = -3*j. What is -r(i) - 2*y(i)? -i**3 + 318*i Let p(y) = y. Suppose -55*f = -52*f - 15. Let i(g) = -2*g. Determine f*i(u) + 12*p(u). 2*u Let m = -2 + -1. Let n(f) be the first derivative of f**3/3 - 4*f - 112. Let p(v) = -v**2 + 3. Give m*n(w) - 4*p(w). w**2 Let t(h) = 14*h - 46. Let k(a) = 7*a - 27. Determine 5*k(w) - 2*t(w). 7*w - 43 Suppose 3*h - 7*h = -8. Let g(x) = -8 + h - 1 + 2*x. Let j(t) = 1. What is -g(n) - 6*j(n)? -2*n + 1 Let z(i) = 15*i**2 - i - 2. Let h(b) = b**2 - b - 1. Calculate -2*h(n) + 2*z(n). 28*n**2 - 2 Let x(w) = -1. Let d(p) = -p - 5. Let c be ((-1)/2)/(6/(-84)). Let j be 37/c + (-4)/14. Suppose 0 = u + j*i + 11, 10 = -5*i - 0. What is u*d(m) + 5*x(m)? m Let b be 125/(-10)*4*15/50. Let z(d) = 6*d + 15. Let w(m) = -m - 2. Determine b*w(i) - 2*z(i). 3*i Let v be -5*(-4)/(16/4). Let a be -1*(v - 2)/(-3). Let q(n) = -n. Let y(r) = 3*r. Let c(s) = 17*q(s) + 6*y(s). Let f(x) = 3*x. Determine a*f(t) - 5*c(t). -2*t Let m(g) = 64*g**2 - 8*g - 61*g**2 + 6*g + 3. Suppose 0 = -6*f - 0*f + 18. Let w(c) = -3*c**2 + 2*c - 4. Give f*m(t) + 2*w(t). 3*t**2 - 2*t + 1 Let u be 2*3/(-2)*-1. Let i(r) = 11*r - 9. Let c(p) be the third derivative of -p**4/4 + 5*p**3/6 + 3*p**2. Calculate u*i(l) + 5*c(l). 3*l - 2 Let f(q) = -q + 2. Let k(v) = 2*v**3 - 30*v**2 + 3*v - 39. Let m be k(15). Let d be (-9)/(-4)*(-1 + 5). Let t(o) = -2 - 2*o - 2*o + d. What is m*t(p) - 21*f(p)? -3*p Let p(l) = -15*l - 171. Let i(m) = -3*m - 34. What is 11*i(a) - 2*p(a)? -3*a - 32 Let k(x) = 331*x**3 - 2*x**2 - 2*x + 2. Let z(f) = -1655*f**3 + 11*f**2 + 11*f - 11. Calculate -11*k(r) - 2*z(r). -331*r**3 Let r(y) = -16*y + 2. Let j(k) = -47*k + 8. Determine 6*j(h) - 17*r(h). -10*h + 14 Let v(d) = -2*d**3 + d - 1. Let k(r) = -141*r**3 + 1. Calculate -k(f) - v(f). 143*f**3 - f Let d(t) = 2*t - 1. Let v(p) = 2 - 4*p - 6*p + 32*p - 13*p - 12*p. Calculate 4*d(s) + 3*v(s). -s + 2 Let j(s) = -2*s**2 + 8*s - 6. Let a(h) = -h**2 + h + 4. Calculate -2*a(x) - j(x). 4*x**2 - 10*x - 2 Let u(y) = 9*y**2 - 6*y - 4. Let j = -1534 + 1537. Let s(m) = -10*m**2 + 7*m + 5. Give j*s(p) + 4*u(p). 6*p**2 - 3*p - 1 Let m(o) = -o**3 - 1. Let w(c) = 33*c - 659. Let y be w(20). Let v(r) = r**2 + 6. Determine y*v(a) + 6*m(a). -6*a**3 + a**2 Let n(s) = 4*s**3 + 3*s**2 + 2*s + 11. Let z(l) = l**3 + l**2 + 1. Give n(w) - 3*z(w). w**3 + 2*w + 8 Let w(y) = y**3 + y. Let d(p) = 55*p**3 + 2*p. Calculate -d(z) + 2*w(z). -53*z**3 Let w(j) = 7*j**2 + 2*j + 4. Let c be (8/(-3))/(1/3). Let x(d) be the first derivative of -11*d**3/3 - 3*d**2/2 - 6*d - 226. Calculate c*w(u) - 5*x(u). -u**2 - u - 2 Let s be 1*(-1 + 1)*1. Let d(y) = -1 + s + 2. Let u = 439 - 445. Let p(x) = 2*x + 6. What is u*d(g) + p(g)? 2*g Let v = -312 + 310. Let g(t) = t**3 - t**2 - 3*t + 2. Let n(b) = b**3 - 4*b + 3. Determine v*n(s) + 3*g(s). s**3 - 3*s**2 - s Let h(c) = -2*c**2. Let d(i) = i**2. Suppose 18 = 5*b + 4*k + 43, -k = -4*b + 1. What is b*h(y) - 3*d(y)? -y**2 Let p(c) be the third derivative of 7*c**5/60 - 3*c**2 - 5. Let j(s) = -24*s**2. What is -5*j(r) - 18*p(r)? -6*r**2 Let p(f) = 10*f**3 - 6*f**2 - 26*f. Let m(x) = -8*x**3 + 5*x**2 + 27*x. Calculate -6*m(o) - 5*p(o). -2*o**3 - 32*o Let s(y) = 96*y**2 - 7*y - 10. Let j(u) = -98*u**2 + 8*u + 12. Calculate 5*j(l) + 6*s(l). 86*l**2 - 2*l Let r(m) = 6*m**2 - m - 1. Let o(k) = -13*k**2 + 2*k + 2. Let i be (3*(-24)/(-18))/(-1). Determine i*o(v) - 9*r(v). -2*v**2 + v + 1 Let z(j) = -j**3 + 8*j**2 + 4*j + 1. Let a(k) = -2*k**3 + 13*k**2 + 4*k + 2. Calculate 2*a(i) - 3*z(i). -i**3 + 2*i**2 - 4*i + 1 Let s(h) = -2*h**3 + 2*h**2 + 2*h + 40. Let d(l) = -l**3 - l**2 - l - 1. Calculate 2*d(j) + s(j). -4*j**3 + 38 Let k(u) = -2*u - 7*u**3 - 10 + u - 6*u**2 - u**3 + 5*u**2 - 5*u**2. Let b(v) = -7*v**3 - 5*v**2 - v - 9. Determine 6*b(n) - 5*k(n). -2*n**3 - n - 4 Let s(q) = 18*q + 1. Let y(h) = -6*h - 1. Give -3*s(v) - 8*y(v). -6*v + 5 Let v(r) = 4*r**2 + 160*r. Let w(n) = -3*n**2 - 161*n. Calculate -2*v(p) - 3*w(p). p**2 + 163*p Let s(i) = -4*i**3 - 5*i**2 - 2*i - 1. Let d(m) = 19*m**2 + 1 - 8*m**2 - 6*m**3 - 2 - 3*m - 18*m**2. Calculate 5*d(w) - 7*s(w). -2*w**3 - w + 2 Let i(b) = -5*b**3 - 7*b**2 - 5*b + 3. Let n(z) = -z**3 + z - 1. What is -i(l) - 3*n(l)? 8*l**3 + 7*l**2 + 2*l Let s(q) = -5*q**3 + 263*q - 6. Let t(v) = 14*v**3 - 790*v + 17. Calculate 17*s(a) + 6*t(a). -a**3 - 269*a Let g(a) = -413*a**3 + 8*a**2 - 4*a. Let w(m) = 129270*m**3 - 2502*m**2 + 1251*m. Calculate -1251*g(i) - 4*w(i). -417*i**3 Let z(w) = 5*w + 3. Suppose -2*m + 55 = 3*y - 4*y, 0 = 4*m - 5*y - 101. Let l = 28 - m. Let g(t) = t + 1. What is l*z(x) + 4*g(x)? -x + 1 Let x(d) be the first derivative of 3*d**4/4 - 2*d**3/3 - d - 2201. Let m(f) = f**3 - f**2. Let v(i) = -i**2 - 3*i - 1. Let y be v(-2). What is y*m(s) - x(s)? -2*s**3 + s**2 + 1 Let m be (-1)/(-3) - (-26)/3. Let g(p) = p**2 + 5*p + 9. Let n(j) = -71*j - 6. Let i(z) = -25*z - 2. Let y(s) = 17*i(s) - 6*n(s). What is m*y(q) - 2*g(q)? -2*q**2 - q Let x(y) = -1 + 3*y + y**2 + 0*y**2 - 2*y**2. Let i be -12 - -15 - (9 - 15). Let q(b) = -3*b + 2*b**2 - 4*b - 4 + 6. Determine i*x(p) + 4*q(p). -p**2 - p - 1 Let o = 4 + -7. Let p(j) = -2*j**2 + j - 2. Let w(d) = 9 + 28 + d - 38 - d**2. Suppose 3*g + 2*n - 21 = 0, -2*n + 5*n = 9. Calculate g*w(k) + o*p(k). k**2 + 2*k + 1 Let m(v) = -24*v + 4. Let z(g) be the first derivative of -5*g**2/2 + g + 17114. Let h(a) = 3*a. Let i be h(-1). Calculate i*m(r) + 14*z(r). 2*r + 2 Let t(v) = -78*v**2 + 5*v - 13. Let k(m) = -39*m**2 + 2*m - 6. Give 9*k(y) - 4*t(y). -39*y**2 - 2*y - 2 Let z(k) = -241*k + 5. Let n(m) = -247*m + 4. Determine -6*n(p) + 5*z(p). 277*p + 1 Let q(h) = -58*h**3 - 4*h**2 + 5*h + 3. Let l(a) = 59*a**3 + 5*a**2 - 6*a - 4. Calculate 5*l(m) + 6*q(m). -53*m**3 + m**2 - 2 Let m(b) = 5*b**2 + b - 1. Let s(p) = -3*p**2 + 2*p. Let v(a) = -10*a**2 + 7*a. Let o(n) = -7*s(n) + 2*v(n). Let q = -147 - -146. Determine q*m(g) + 3*o(g). -2*g**2 - g + 1 Let x(t) be the first derivative of -2*t**2 + 47. Suppose -3*o = -4*c, -o - 7 = -3*c + 3*o. Let y(j) = -9*j. What is c*y(p) + 7*x(p)? -p Let b(x) = 3*x**2 + 2. Suppose -4*q + 40 = i + 3*i, -11 = -2*i + q. Suppose 6*y - 24 = 3*y. Let w(s) = -9 - y*s**2 - s**2 + 2 - s**2. Give i*b(r) + 2*w(r). r**2 Let w(l) = -4*l + 7. Let v(x) be the first derivative of -x**2/2 + x - 119. Give 6*v(r) - w(r). -2*r - 1 Let p(n) = n**2 - 8. Let s(a) = 4*a**2 - 16. Give -5*p(q) + 3*s(q). 7*q**2 - 8 Let i(g) = 208*g**2 - 5*g - 6. Let f(p) = 205*p**2 - 4*p - 5. Calculate 5*f(l) - 4*i(l). 193*l**2 - 1 Let r(n) = -31*n**2 + 2*n - 4. Let s(u) = 91*u**2 - 7*u + 13. Calculate 7*r(j) + 2*s(j). -35*j**2 - 2 Let i(v) = -2*v**2 + 2*v + 77. Let p(s) = 2*s**2 - s - 78. Determine 2*i(t) + 3*p(t). 2*t**2 + t - 80 Let m(p) be the second derivative of p**
{ "pile_set_name": "DM Mathematics" }
u: 1, x: 1, n: 2, l: 1, r: 2, t: 1}. Give prob of picking 1 r and 1 l. 1/14 What is prob of picking 2 a when two letters picked without replacement from frrfarfafaraafaaaaa? 5/19 Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {i: 2, u: 6, l: 9}. 27/68 What is prob of picking 1 w and 3 b when four letters picked without replacement from {b: 9, w: 2}? 28/55 What is prob of picking 1 m and 1 u when two letters picked without replacement from {m: 1, t: 1, u: 1}? 1/3 What is prob of picking 1 r and 1 m when two letters picked without replacement from {m: 1, q: 8, u: 1, r: 2, g: 2}? 2/91 Three letters picked without replacement from {k: 3, g: 1, i: 1, j: 2}. Give prob of picking 1 g and 2 j. 1/35 What is prob of picking 1 e and 1 d when two letters picked without replacement from hiifhmdhehiefie? 1/35 Calculate prob of picking 2 o when two letters picked without replacement from eoeeo. 1/10 Three letters picked without replacement from ppzppjjjjjpprjjrjzpz. Give prob of picking 3 j. 14/285 Calculate prob of picking 1 q and 2 g when three letters picked without replacement from {l: 2, q: 3, g: 4}. 3/14 Four letters picked without replacement from ppppplpp. What is prob of picking 4 p? 1/2 Four letters picked without replacement from {l: 2, w: 5}. Give prob of picking 4 w. 1/7 Two letters picked without replacement from {a: 5, v: 3, j: 2, l: 3}. Give prob of picking 1 a and 1 l. 5/26 What is prob of picking 1 x and 1 a when two letters picked without replacement from {x: 1, a: 5, d: 7, j: 3}? 1/24 Four letters picked without replacement from hhiooohshhoo. Give prob of picking 1 s and 3 o. 2/99 Two letters picked without replacement from {h: 1, t: 1, l: 3, v: 2}. What is prob of picking 1 l and 1 h? 1/7 Two letters picked without replacement from vcjjjjvccccjcjcvccj. What is prob of picking 1 j and 1 c? 7/19 Two letters picked without replacement from xtttxrtxxtrrrttrxxx. Give prob of picking 1 t and 1 x. 49/171 What is prob of picking 1 x, 2 n, and 1 e when four letters picked without replacement from eexnenne? 6/35 Four letters picked without replacement from {t: 2, k: 3, i: 6, d: 2, w: 5, v: 1}. What is prob of picking 1 w, 1 t, and 2 d? 5/1938 Two letters picked without replacement from rgopoooorumoogoomo. What is prob of picking 1 u and 1 r? 2/153 What is prob of picking 3 o when three letters picked without replacement from yyyoyyyoyyyyyyyyyoyy? 1/1140 What is prob of picking 1 n and 3 e when four letters picked without replacement from {e: 12, n: 7}? 385/969 What is prob of picking 1 h, 1 y, and 2 v when four letters picked without replacement from {v: 2, m: 4, y: 1, h: 2}? 1/63 Three letters picked without replacement from {g: 2, l: 5}. What is prob of picking 1 l and 2 g? 1/7 Calculate prob of picking 3 p when three letters picked without replacement from {t: 3, p: 1}. 0 What is prob of picking 2 r, 1 k, and 1 o when four letters picked without replacement from {k: 2, r: 10, o: 1, d: 7}? 6/323 Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {z: 5, i: 3, k: 6, q: 3}. 15/136 What is prob of picking 1 s and 3 m when four letters picked without replacement from {m: 4, s: 2}? 8/15 Two letters picked without replacement from ohmuu. What is prob of picking 1 u and 1 h? 1/5 Three letters picked without replacement from kwyyufut. What is prob of picking 1 t and 2 u? 1/56 What is prob of picking 1 h and 1 f when two letters picked without replacement from {u: 2, r: 5, d: 2, l: 1, h: 1, f: 5}? 1/24 Calculate prob of picking 1 a and 1 h when two letters picked without replacement from tgahygty. 1/28 Four letters picked without replacement from {e: 1, m: 6, v: 4, a: 2, n: 1, d: 4}. What is prob of picking 1 a, 2 m, and 1 d? 2/51 What is prob of picking 2 f when two letters picked without replacement from {v: 5, f: 2, g: 1, e: 1}? 1/36 What is prob of picking 1 n, 1 e, and 2 v when four letters picked without replacement from vnknennvqnnnvnknn? 3/238 What is prob of picking 2 r and 1 w when three letters picked without replacement from {w: 11, r: 9}? 33/95 Three letters picked without replacement from {x: 2, a: 14, k: 1, r: 1, e: 1}. Give prob of picking 1 k, 1 r, and 1 e. 1/969 Three letters picked without replacement from {x: 1, a: 1, d: 2, m: 1}. Give prob of picking 3 x. 0 Calculate prob of picking 2 i and 2 a when four letters picked without replacement from {i: 2, r: 1, a: 2, x: 1}. 1/15 Two letters picked without replacement from ohhouvhuvuvhrrovhhx. What is prob of picking 1 x and 1 r? 2/171 Four letters picked without replacement from nnnnnnnsnnnnsnnsnnns. Give prob of picking 1 n and 3 s. 64/4845 What is prob of picking 1 t, 1 p, and 1 h when three letters picked without replacement from pppbhmmtp? 1/21 Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {e: 4, h: 3, j: 9, i: 2, m: 1}. 1/19 Calculate prob of picking 1 o and 1 p when two letters picked without replacement from oooolllooolloplpo. 9/68 Two letters picked without replacement from mbibzmimzisuzs. Give prob of picking 1 i and 1 u. 3/91 Two letters picked without replacement from oyaaweyokaoayeeaea. What is prob of picking 1 w and 1 y? 1/51 Four letters picked without replacement from krzrzzrzrz. Give prob of picking 1 r, 1 k, and 2 z. 4/21 Three letters picked without replacement from qpzvqzzczczszz. What is prob of picking 1 s, 1 c, and 1 q? 1/91 Two letters picked without replacement from eeennnunnjeujjnnnnnj. What is prob of picking 2 j? 3/95 Three letters picked without replacement from vrrrvrvrrrrvvrrr. Give prob of picking 3 v. 1/56 Calculate prob of picking 2 g and 1 n when three letters picked without replacement from {p: 1, g: 9, n: 1}. 12/55 What is prob of picking 1 j and 1 b when two letters picked without replacement from aaaabajnnnlannaaaax? 1/171 What is prob of picking 2 i and 2 z when four letters picked without replacement from fiffzifffzzifzzif? 3/119 Three letters picked without replacement from gvyccxcccgfxfccfccc. What is prob of picking 1 g and 2 c? 30/323 Calculate prob of picking 1 b and 1 u when two letters picked without replacement from boibxuo. 2/21 Calculate prob of picking 4 j when four letters picked without replacement from jfjfjjjjff. 1/14 Three letters picked without replacement from bljbjjblbjllbjljllj. What is prob of picking 2 l and 1 b? 35/323 Two letters picked without replacement from {a: 5, z: 11}. What is prob of picking 2 z? 11/24 What is prob of picking 3 q when three letters picked without replacement from {f: 3, q: 3, c: 4, a: 1}? 1/165 What is prob of picking 2 i when two letters picked without replacement from {i: 4, l: 6, t: 4}? 6/91 Calculate prob of picking 4 x when four letters picked without replacement from xsfxssxffsfxfs. 1/1001 Four letters picked without replacement from {q: 9, b: 2, d: 6}. What is prob of picking 2 q, 1 b, and 1 d? 108/595 What is prob of picking 3 o when three letters picked without replacement from {o: 3, y: 3}? 1/20 Four letters picked without replacement from {b: 2, m: 2, n: 5, w: 2, x: 2, h: 1}. What is prob of picking 2 x and 2 m? 1/1001 Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {x: 1, e: 3, k: 3}. 3/7 Calculate prob of picking 3 e when three letters picked without replacement from {k: 4, e: 11, z: 3}. 55/272 What is prob of picking 1 t and 2 f when three letters picked without replacement from ffttffttttfft? 105/286 Four letters picked without replacement from lfffffflffff. What is prob of picking 2 l and 2 f? 1/11 Three letters picked without replacement from pqqqgqqsjsspgpsgpgg. What is prob of picking 3 q? 10/969 Calculate prob of picking 1 c, 2 l, and 1 k when four letters picked without replacement from {r: 1, u: 1, l: 2, k: 1, m: 1, c: 1}. 1/35 Two letters picked without replacement from xxxxxgluxuxlglx. Give prob of picking 1 x and 1 g. 16/105 Calculate prob of picking 3 k and 1 z when four letters picked without replacement from kzkzzkk. 12/35 What is prob of picking 1 i and 1 o when two letters picked without replacement from zbohiiz? 2/21 Calculate prob of picking 2 w when two letters picked without replacement from wbwwwwpbnsnnggnwng
{ "pile_set_name": "DM Mathematics" }
7369262? True Which is greater: 106387/1374 or 78? 78 Which is smaller: 76038690 or 76038695? 76038690 Which is smaller: 4053685 or 4053684? 4053684 Do 149006/24341 and 6 have the same value? False Which is smaller: 11292325/3 or 3764107? 3764107 Is -8/21 < 289213? True Is -139 > 56597/6? False Which is smaller: -10 or -0.2635491? -10 Which is smaller: 13671 or 419? 419 Which is smaller: 73547 or 76459? 73547 Which is bigger: -0.999 or -27.2823? -0.999 Is -5/16 not equal to 255121? True Which is bigger: -301933 or -301922? -301922 Which is smaller: 1 or -27/3359852? -27/3359852 Is 2 bigger than 160828.1? False Do 123 and 72844/593 have the same value? False Which is bigger: 2 or -7.3463887? 2 Is 5248365 != 5248331? True Which is bigger: -161/721223 or 0? 0 Which is bigger: -8/4363 or -0.287? -8/4363 Is -4401750 not equal to 0? True Which is smaller: 1/34 or 216569.6? 1/34 Do -7574686 and -7574686 have the same value? True Which is bigger: 48694137 or 48694138? 48694138 Which is greater: -27/589 or 37830? 37830 Are -59647 and -59401 non-equal? True Is -77417482 < -77417480? True Which is smaller: 845770353 or 845770355? 845770353 Which is greater: 1 or -369/62848? 1 Which is smaller: 290.36 or 16.57? 16.57 Which is smaller: -1419484 or -1419489? -1419489 Which is smaller: 7 or 6839/919? 7 Which is greater: 1006 or -275/2799? 1006 Which is smaller: 5189725 or 5189717? 5189717 Does 204836 = 204318? False Is -5880609/17 < -345917? True Is -903/4568 at least as big as -1? True Which is smaller: -16808 or -559? -16808 Is 29929823/26 at least as big as 1151147? True Is -233283 less than -233248? True Is -27846 less than -28693? False Is 100513 smaller than 100382? False Which is bigger: -48881 or -48240? -48240 Which is bigger: -222509 or -221664? -221664 Which is bigger: 1820253 or 1820249? 1820253 Which is bigger: -1940 or -7345/9? -7345/9 Which is smaller: 19189397 or 19189394? 19189394 Which is bigger: -2066458 or -8265833/4? -2066458 Is 1420916 > 1420920? False Is -65295 at least 3658/9? False Which is bigger: 468078 or 468210? 468210 Is -14254150 at most -14254214? False Do -3673 and -144.17 have different values? True Which is bigger: 1 or -4936/45177? 1 Is 1.3 > 2/238699? True Is 5201767 at least as big as -7/2? True Which is smaller: 2/5 or -173057302? -173057302 Is 29363 > 29451? False Are 390/1007 and 3 nonequal? True Which is bigger: 720685 or 1/77? 720685 Are -2864 and -3146 equal? False Which is smaller: -306125 or -306142? -306142 Is 194964/3631 greater than or equal to 53? True Which is bigger: 15842 or 14900? 15842 Is 9366506 less than 9366506? False Are 84335 and 85847 nonequal? True Is -2563566 at least -2563567? True Which is greater: 1247 or 3301560/2647? 3301560/2647 Which is greater: 6785 or 2188? 6785 Which is smaller: -288324/11 or -26211? -288324/11 Is -2/1089 bigger than -75064? True Which is smaller: -0.0551 or 2405.85? -0.0551 Are -51296 and -50950 nonequal? True Which is smaller: -4085 or -5342? -5342 Which is smaller: -637617 or -637699? -637699 Is 1977538 bigger than 1977524? True Which is bigger: -201782074 or -201782075? -201782074 Which is smaller: -0.057701985 or 1? -0.057701985 Which is bigger: -4001 or -288119/72? -4001 Is -14425549 < -14425551? False Is -759763 at least as big as -36? False Is 4192882 <= 4192894? True Which is bigger: -9220.608 or -16? -16 Are -91978/11 and -8361 equal? False Which is smaller: 2/32305083 or 0? 0 Which is greater: -42141800 or -42141802? -42141800 Which is smaller: -33312 or -1265833/38? -33312 Is 0 less than 695/3406557? True Which is smaller: -125213.6 or -48? -125213.6 Does -0.1 = -0.19961452? False Is 0 at least -0.0467372? True Is -3 not equal to 3593994/5? True Are 1 and 3/677614928 equal? False Which is bigger: 13326487 or -1/3? 13326487 Is 1 <= 9/7515596? False Which is smaller: 412315 or 412068? 412068 Is -45/86996 >= 1? False Is -290687426 < -290687427? False Which is smaller: -12516585 or -12516583? -12516585 Which is bigger: -3093618 or -3093613? -3093613 Is -1030569 >= -1030569? True Is -1284466 > -1284432? False Which is smaller: 191790035 or 191790034? 191790034 Which is smaller: -3/173934343 or -1? -1 Is 100133 > -31? True Which is smaller: 1 or -2318/104575? -2318/104575 Which is greater: 147363/68 or 0.2? 147363/68 Is -612462 not equal to -612579? True Which is greater: 0.1041667 or 3.6? 3.6 Which is smaller: -677013960 or -677013961? -677013961 Is -99903020 at least -99903020? True Which is greater: -1146828 or -1146839? -1146828 Which is smaller: 40567698 or 121703096/3? 40567698 Which is smaller: 1194/527 or 1/12? 1/12 Is 35/1737817 at least -1? True Which is smaller: 2673109 or 2673102? 2673102 Is 2381 > 1424? True Which is bigger: -2801494 or -7.3? -7.3 Is -109 less than -567920/5219? True Which is bigger: -361560 or -3977170/11? -361560 Which is smaller: -282/39022835 or 0? -282/39022835 Is 8 at least as big as -937725? True Is -989443/150 greater than -6596? False Which is smaller: -448320860/7 or -2/3? -448320860/7 Is 46864 greater than -11342? True Which is bigger: 3/64289 or 3/85? 3/85 Is 210762/175 greater than 1? True Which is bigger: -17974378/241 or -74582? -74582 Is -114 > 53203? False Which is greater: 2/724973 or 1? 1 Which is smaller: 0 or 2/774234889? 0 Do 0.032 and -33747 have the same value? False Which is smaller: -3/80601604 or -1? -1 Which is smaller: 3.5 or 1081403? 3.5 Which is smaller: 16/5216339 or -1? -1 Is 888/271 > -57/7? True Is -9883 at least as big as -9180? False Is 55256264 <= 55256269? True Is 215555320/7 <= 30793616? False Which is smaller: 140344822/15 or 9356322? 140344822/15 Which is greater: -1514980.6 or -0.2? -0.2 Which is greater: -3173 or 3842? 3842 Which is bigger: 72722815 or 72722813? 72722815 Does 174179858 = -3? False Which is smaller: 15976294 or 0.1? 0.1 Is -1397176 not equal to -297? True Is 19648034/29 > 677518? True Which is smaller: -45598 or -45123? -45598 Which is bigger: -26002 or -3224175/124? -3224175/124 Is 584463 > 584480? False Is -31410 >= 5093? False Is 12/687317 smaller than -1? False Which is smaller: -65518 or -66941? -66941 Is -3/44245574 greater than or equal to -1? True Which is greater: -91 or -11900? -91 Is 91345/558 <= 165? True Is 28 smaller than -3542118? False Is 738638 != 738638? False Which is bigger: -150890 or -151040? -150890 Which is smaller: -10/124434601 or 1? -10/124434601 Which is greater: 106180/77 or 1380? 1380 Which is bigger: 6777 or 659? 6777 Does -210/282689 = -1? False Which is smaller: 31257031 or 10? 10 Is -146 < -124/391? True Which is smaller: 150 or -2488? -2488 Is -358616 less than or equal to -3944762/11? True Which is greater: -2458594/61 or -40305? -2458594/61 Is 0.9426 <= -1255.8? False Which is bigger: 208354 or 208530? 208530 Which is smaller: -111452 or -8? -111452 Is 1/954512581 less than or equal to -1? False Is -1 > -309435/473? True Is 2/443488809 greater than 0? True Do -1 and -2322/120547 have different values? True Which is smaller: 24792678 or 24792677? 24792677 Which is smaller: -406908 or -406823? -406908 Is 1 at least -1/6964295? True Which is smaller: -16704113 or -16704110? -16704113 Is 30408998 at least as big as 2/9? True Do -219 and 216068 have the same value? False Is -5581 less than 595? True Is -1 < -52862090? False Which is greater: -108/14561 or -1? -108/14561 Is -11425 less than -1085278/95? True Is -6 > 123151398? False Which is smaller: -281557 or -41/4? -281557 Are -43458 and -912631/21 unequal? True Which is greater: 1/4 or -53/1477509? 1/4 Which is greater: -1 or -9/227125? -9/227125 Which is smaller: -269 or -119443.3? -119443.3 Which is bigger: -164/37067 or 0? 0 Which is smaller: -2 or 215.704025? -2 Is -219/67 greater than -4906? True Is 87075 at least -2014? True Which is greater: -973658 or -13? -13 Which is smaller: -2 or -41653949? -41653949 Which is smaller: 37567/348 or 108? 37567/348 Are -2446 and -161465/66 non-equal? True Is -1 bigger than 10/1000639? False Is -448418 greater than or equal to -448425? True Is -95637 less than or equal to -96077? False Which is bigger: 11/20 or 9715? 9715 Is 307662/5 not equal to 265? True Which is greater: -1596299 or -31926009/20? -1596299 Is -1 at least as big as -9844078? Tr
{ "pile_set_name": "DM Mathematics" }
- q/(-6)? 3 Suppose 5 = -5*m - 6*a + a, 2*a = -5*m + 4. What is the tens digit of 3 + -4 - -2*11/m? 1 Suppose -4*i + 4*n + 9 = -11, -3*n - 6 = 0. Let k be 13/(i + -2 + 0). Let t = k + -2. What is the units digit of t? 1 Let s = -1 + 3. Let k be 2*(4/(-1))/s. What is the units digit of k/(-6) - 28/(-21)? 2 Let q = -40 - -19. Let c = q - -30. Suppose c*u - 150 = 4*u. What is the units digit of u? 0 Let x = -380 + 1857. What is the hundreds digit of x? 4 Let b(m) = 4*m**3 + 9*m**2 - 5*m - 6. What is the hundreds digit of b(7)? 7 Suppose 0 = 9*k - 3*k - 78. Suppose 5*v - k = 12. Suppose 3*s = -v*j + 60, 4*s + 6 - 60 = 2*j. What is the units digit of s? 5 Suppose -40*a + 9*a = -11470. What is the tens digit of a? 7 Suppose 71 = 6*s - 163. Suppose 120 = -s*h + 43*h. What is the tens digit of h? 3 Let q(u) = 2*u**2 - 4*u + 7. Let d(k) = 3*k**2 - 4*k + 6. Let x(n) = 4*d(n) - 3*q(n). Let g be x(2). Suppose -2*y = g - 103. What is the tens digit of y? 4 Let t = 145 - 143. Suppose 4*i + 3*d - 62 = 0, -i - i = 3*d - 34. Let f = t + i. What is the units digit of f? 6 Let v be ((-2)/(-1))/1 - -1. Suppose 2*t - h - 6 = -0*h, -t + 2*h - v = 0. What is the units digit of t? 5 Let q(f) = f**2 - 18*f + 23. Let p be q(7). Let r = p - -69. What is the tens digit of r? 1 Suppose 0 = 3*c + 5*p - 10126, 2*c - 3365 = p + 3390. What is the tens digit of c? 7 Let w(r) = -5*r**3 + r**2 - 2. Let v be w(-1). Suppose 4*t - 2*p - 220 = 0, 3*t - 8 = -v*p + 168. What is the tens digit of t? 5 Let q = -72 + 242. Let l = q + -121. What is the tens digit of l? 4 What is the units digit of 16854/42 - 4/14? 1 Let o(n) = n**3 + 20*n**2 - 7*n - 19. What is the hundreds digit of o(-9)? 9 Let s = -12 + -11. Let c = s + 14. Let i = c - -27. What is the units digit of i? 8 Let w(z) = -2*z. Suppose r = -2 + 3. Let y be w(r). What is the tens digit of (y + 30)/2 - -2? 1 Let s = 12 - -23. Suppose -4*m = -33 - s. What is the units digit of m? 7 Suppose 8*u - 12791 = 10009. What is the hundreds digit of u? 8 What is the thousands digit of 113296/22 + (-2)/(-11)? 5 Suppose 0 = -244*v + 255*v - 12331. What is the thousands digit of v? 1 Suppose -p + b - 4*b = -769, -5*p - 5*b + 3795 = 0. What is the hundreds digit of p? 7 Let k(b) = -b**3 - 2*b**2 - b + 2. Let m be k(-6). Let u = m - 76. What is the tens digit of u? 7 Let r(o) = o**3 + 10*o**2 + 10*o + 27. What is the tens digit of r(-8)? 7 Let q = -4 + 9. Suppose 4*u - 16 = -2*g, -q*u + 16 = 1. Suppose 5*c = g*k + k + 205, 0 = 4*k - 20. What is the units digit of c? 4 What is the hundreds digit of 2*(-188)/(-4)*11? 0 Suppose 21*f = 98*f - 163394. What is the tens digit of f? 2 Suppose -5*d = -10*d - 10. Let s = -5 - d. What is the units digit of 7 + (3 - (-12)/s)? 6 Suppose -11 = 5*u - 2*h, 0*h = u + 5*h - 14. Let v = u + 4. Suppose m + v*m - 88 = 0. What is the tens digit of m? 2 Suppose -m + i + 383 = 0, 3*i = 3*m - 2*m - 385. What is the hundreds digit of m? 3 Suppose 4*u + 0*u + 11 = -3*m, -5*u - 10 = 5*m. Suppose -i + 135 = m*c, c = 3*i - c - 383. What is the units digit of i? 9 Suppose 12*o - 1596 - 180 = 0. What is the units digit of o? 8 Let r(k) = -2*k**3 + k - 14. Let t be r(0). Let v = -11 - t. Suppose -8*b - 4*g + 64 = -4*b, -v*g + 6 = 0. What is the units digit of b? 4 Let h = 21 - 13. Let c be 1/4 - 18/h. Let u = 4 + c. What is the units digit of u? 2 Suppose 0 = -q + 7*b - 3*b + 130, -5*q + 2*b + 686 = 0. Let d = q - 69. What is the tens digit of d? 6 Suppose -c + 2*u = 2, u - 2 = -0. Let d(y) = -2*y - 6 - 15*y**2 - 22*y**2 + 3*y + 44*y**c. What is the units digit of d(-3)? 4 Suppose -3*k = -3*h - 3, 0 = -2*k - 3*h + 3 + 4. Suppose 4*j + 34 = k. Let l(t) = t**3 + 7*t**2 - 11*t + 3. What is the tens digit of l(j)? 2 Let d be 2/12 + (-80)/(-96). Let c be d*18 - (-8 - -10). What is the units digit of (-6 - -2) + 1 + c? 3 Let o = 77 - -2649. What is the thousands digit of o? 2 Suppose s + 1725 = -5*x - 169, -s = -x - 380. Let t = -260 - x. What is the units digit of t? 9 Let w be (-470)/(-4) + 1/(-2). Let h be (-16)/32 - 381/(-2). Let p = h - w. What is the units digit of p? 3 Let n = 108 + -50. Let q = 0 + n. What is the units digit of q? 8 What is the tens digit of (3 + 5 - 0)*26? 0 Let u(w) = -57*w + 6. Let t be u(4). Let a = 276 - 285. What is the units digit of t/a - 1/(-3)? 5 Let t(s) = -s - 17. Let g be t(-6). Let i(n) = n**2 + 8*n - 9. What is the units digit of i(g)? 4 Let t be (2/(-2))/((-2)/10). Suppose f - 16 = t*f. Let a = 9 + f. What is the units digit of a? 5 Suppose 0 = 5*g + 4 - 34. Suppose 3*h - 4*x = -g, -4*x + 22 = 6*h - h. Suppose -a - 1 = -5*k, 4*a + h*k = -k + 19. What is the units digit of a? 4 Let k(u) = -u**3 + 38*u**2 - 162*u + 25. What is the tens digit of k(30)? 6 Let j(t) = -t**3 + 16*t**2 - 12*t + 19. Let n be j(10). Suppose -n = -3*l + s + 338, 9 = -3*s. What is the hundreds digit of l? 2 Let s = 532 + -131. What is the hundreds digit of s? 4 Let z(b) = 39*b**3 + 2*b**2 + 27*b - 59. What is the units digit of z(4)? 7 Let z be 3*(-203)/21*2. Let h(m) = -m**3 - 3*m**2 + 5*m - 1. Let o be h(-5). Let x = o - z. What is the tens digit of x? 8 Let k = 6 + -5. Let p be 0*k*(-2)/4. Suppose -3*v - 4 + 13 = p. What is the units digit of v? 3 Suppose -27 - 9 = 4*k. Let d(o) = 4*o**2 + 10*o + 11. Let r(s) = -5*s**2 - 9*s - 11. Let b(q) = -4*d(q) - 3*r(q). What is the units digit of b(k)? 5 Let g = 19 - 19. Let m(s) = s**3 + s + 79. What is the units digit of m(g)? 9 Suppose -4599 = -27*u + 20*u. What is the hundreds digit of u? 6 Suppose 13 - 1 = 6*p. Suppose 4*y + 100 = 4*k, 2*k = -p*k + 2*y + 110. What is the tens digit of 1968/k + 2/5? 6 Let i = -26 + 93. What is the tens digit of i? 6 Let t = -290 + 293. Let s = 6 - -6. Let b = s - t. What is the units digit of b? 9 Let z = 555 - -425. What is the hundreds digit of z? 9 Suppose -5*k = -k - 3*s - 16, 4*k - 16 = -3*s. Let h be 2 + 4 - k - -9. Let u = h + 8. What is the units digit of u? 9 Let u(y) = 9 + 7*y + 6*y**2 - 7*y**2 - 2. Let d be u(6). What is the tens digit of d/26 - 134/(-4)? 3 Suppose -z + 134 = -136. What is the hundreds digit of z? 2 Let q = 55 + -24. Let i = -20 + 15. Let n = q + i. What is the units digit of n? 6 Let j = 15 - 13. Suppose 2*s - 5*g + 33 = 0, -j*s + 2*g = 2*s + 90. Let r = -20 - s. What is the units digit of r? 4 Suppose 4*a - c = -0*c + 1222, -4*a + 1226 = -3*c. Let m = -205 + a. What is the hundreds digit of m? 1 Let m(w) = 5*w**3 - 3*w**2 + 2. Let g be m(-1). What is the tens digit of (32 - 247)*g/10? 2 Let r be 0 + 1 + 0 + -55. Let q(n) = -n**2 - 35*n + 407. Let o be q(-42). Let z = o + r. What is the tens digit of z? 5 What is the thousands digit of (18/(-4))/(-3) - (-257355)/190? 1 Suppose -5*o - 9 + 284 = 0. Suppose -5*p - 4*b = -17, 2*p + 9*b - 5*b - 2 = 0. Suppose -2*f + 10*a = 5*a - o, p*f = -5*a + 50. What is the units digit of f? 5 Let l be 8 + -4 - 4 - -4. Suppose -d - 8 = -3*w - 91, w + l = 0. What is the tens digit of d? 7 Let l = -12 - -28. Suppose -2*m + 291 = s, -2*s + 351 = 5*m - 379. Suppose m = l*k - 12*k. What is the units digit of k? 7 Let j = 35 + -44. What is the units digit of (-48)/14*(j - -2)? 4 Let k(d) = -2*d**2 + 2*d + 2. Let h be k(0). Suppose -h*z + 3*v + 121 = 0, v + 174 = 3*z - 2*v. What is the units digit of z? 3 Suppose 5*u + 4*o - 13 = -83, 5*o = -2*u - 45. What is the hundreds digit of 4326/35 - 4/u? 1 Let p = -620 + 279. Let g = -223 - p. What is the tens digit of g? 1 Suppose 4*l + 3*i - 860 = 0, 428 = 2*l - 9*i + 10*i. What is the tens digit of l? 1 What is the tens digit of (-19 - -21)*4916/8? 2 Suppose 7*k - 4*k + 48 = 0. Suppose 2*n = -n + 75. Let s = n + k. What is the units digit of s? 9 Let a(z) = z**2 + 3*z - 4. Suppose 0 = -2*f - 2*j - 20, -3 = 2*j + 1. What is the units digit of a(f)? 6 Let i = 19 - 15. Suppose -i*z = 5*q - 844, -5*z + 156 = 2*q - 168. What is the hundreds digit of q? 1 Let k(g) = 3*g**2 - 81*g + 111. What is the units digit of k(31)? 3 Let x(u) = -13*u**3 + u. Let j be x(-1). What is the hundreds digit of -17 + j - (-139 - 0)? 1 Let z(o) = o**3 + 9*o**2 - 10*o + 5. What is the units digit of z(-10)? 5 Suppose -3*w + 4*w = 313. Let t = -110 + w. What is the hundreds digit of t? 2 Suppose -3*k + 2*l - 10 = -4*k, 4*k - 25 = -5*l. Suppose v - 14 + 12 = k. Suppos
{ "pile_set_name": "DM Mathematics" }
t is the derivative of -431020*a**2 + 2111287? -862040*a What is the third derivative of -456187*s**4 + 3*s**3 - 527*s**2 - 1830 wrt s? -10948488*s + 18 What is the third derivative of -25761*b**3*i + 2*b**3 + 5*b**2 - 3*b*i + 2*b + 84 wrt b? -154566*i + 12 What is the third derivative of b**3*f**2 + 21381*b**3*u + 62*b**2*f**2*u + 2*b**2*u - 2*b*f**2 - 15*b*u wrt b? 6*f**2 + 128286*u What is the derivative of -6*r**4 - 2*r**3 - 474*r**2 - 67982 wrt r? -24*r**3 - 6*r**2 - 948*r Find the third derivative of 4*k**3*t**3 - 2*k**3*t + 20210*k**2*t**2 + 6*k*t**4 + 14*t**4 - 2*t**3 wrt t. 24*k**3 + 144*k*t + 336*t - 12 Find the second derivative of 471*b**2*l**2 - 2*b**2*l + 94*b**2 - 399*b*l**2 + b*l + 5*l**2 - 8*l + 7 wrt l. 942*b**2 - 798*b + 10 Find the second derivative of -f**4 - 245636*f**3 + 336740*f wrt f. -12*f**2 - 1473816*f Find the second derivative of -4950*n*q**2*v*y**2 - n*q**2*v - n*q*v - 11*n*q*y + n - 15*q**2*v - 2*q*v*y**2 + 754*v*y**2 wrt q. -9900*n*v*y**2 - 2*n*v - 30*v Find the first derivative of -2*k*u**3*v + 7*k*u**3 + 27*k*u**2*v + 16*u**3*v + 1110*u**3 - u**2*v wrt k. -2*u**3*v + 7*u**3 + 27*u**2*v Differentiate -l**2 + 33222*l - 3160826 wrt l. -2*l + 33222 What is the derivative of -2657*p + 3061? -2657 What is the third derivative of -235802*s**3 + 94183*s**2? -1414812 What is the second derivative of -787*s**3 - 342*s**2 + 1513786*s wrt s? -4722*s - 684 Differentiate -585*d**2*v + 11*d**2 - 289*d*v + v**4 + 6122 wrt v. -585*d**2 - 289*d + 4*v**3 What is the derivative of -13767*m**2 - 5*m + 108252 wrt m? -27534*m - 5 Find the third derivative of 5*k**3*o**3 - 3*k**3*o**2 + k**3*o + 380*k**3 - 159903*k**2*o**3 - 3*k*o wrt k. 30*o**3 - 18*o**2 + 6*o + 2280 Find the second derivative of 350160*a**3*w + 27958*a + 12*w wrt a. 2100960*a*w What is the third derivative of q**5 + 56*q**3 - 2*q**2 + 2446? 60*q**2 + 336 What is the first derivative of -497*h**2 + 154*h - 249884? -994*h + 154 Find the second derivative of -28134*u**4 + 135247*u wrt u. -337608*u**2 What is the first derivative of 277*a**4 + a**3 + 10*a**2 - 26567? 1108*a**3 + 3*a**2 + 20*a What is the first derivative of -28*j*k**2*t + 9*j*k*t + 5*j*k + 1038*k**2*t + 115*t wrt j? -28*k**2*t + 9*k*t + 5*k What is the third derivative of -105270*d**3*q**4 - 7*d**3 + 93914*q**2 wrt q? -2526480*d**3*q What is the derivative of -7*g*r**2*x - 177*g*r - 64647*g*x - r**3*x wrt r? -14*g*r*x - 177*g - 3*r**2*x Find the third derivative of 192657*d**3 + 161*d**2 + 98. 1155942 Find the second derivative of 11398*q**4 + 226*q + 1013 wrt q. 136776*q**2 Find the third derivative of 16742*a*j**4 + 3*a*j + 38*j**4 + j**3 - 163082*j**2 wrt j. 401808*a*j + 912*j + 6 Find the second derivative of 546120*c**2*x - 2*c*x - c - 335*x + 1 wrt c. 1092240*x Find the third derivative of 2*i**6 + 5*i**5 + 693*i**3 + 93400*i**2. 240*i**3 + 300*i**2 + 4158 Find the third derivative of -56452*u**5 - 22410*u**2 + u. -3387120*u**2 What is the second derivative of -35278*y**2 + 240*y - 12 wrt y? -70556 Differentiate -3312*n*v + 4*v - 2975 wrt n. -3312*v Differentiate -3165*i**3*j - 2*i*j**2*s + 42*j**2 + 125*j*s + s wrt i. -9495*i**2*j - 2*j**2*s Find the second derivative of -2*b**3*h**2*x**3 - b**3*h*x**3 - 2122*b**3 - 7*b**2*x**2 + 2*b*h*x**2 - 21066*h**2*x**3 wrt h. -4*b**3*x**3 - 42132*x**3 What is the second derivative of -76090*b**4*n**3 - 2*b**4 - 9*b*n**3 + 273*b + 11*n**3 wrt b? -913080*b**2*n**3 - 24*b**2 Differentiate 1113*i**3 - 251*i**2*m**3 + 346*m**3 + 26*m**2 + m - 9 wrt i. 3339*i**2 - 502*i*m**3 What is the second derivative of -68*c**3*v - c**3 - 3*c**2*v**2 + 6*c*v**2 - 2723*v wrt c? -408*c*v - 6*c - 6*v**2 What is the second derivative of 192867*o**4*p + o*p + 2*o - 132*p - 37 wrt o? 2314404*o**2*p Differentiate -188*i*j - 52520*i + 117*j**4 wrt j. -188*i + 468*j**3 Find the second derivative of -1830750*u**3 + 36*u + 11860 wrt u. -10984500*u Differentiate 4*m**3*s**2 + 56560*m**3 + 1695*m*s**2 - 2*s**2 wrt s. 8*m**3*s + 3390*m*s - 4*s What is the third derivative of -1238148*y**4 + 1892032*y**2 wrt y? -29715552*y What is the third derivative of -203*v**5 + 870*v**4 - 8*v**2 - 8*v + 288? -12180*v**2 + 20880*v Find the second derivative of 1238507*k**2 - 327503*k - 7. 2477014 Find the first derivative of -857219*g - 742783. -857219 Differentiate -39*b**4 + 1526*b - 926328 wrt b. -156*b**3 + 1526 What is the third derivative of 1524*l**3*y**3 - 9*l**3*y + 4*l**3 - 2*l**2*y**2 - 44*y**3 - 2*y**2 - 2*y - 487 wrt l? 9144*y**3 - 54*y + 24 Find the first derivative of 48568*b + 441631. 48568 What is the second derivative of 247387*u**3 - 8*u - 53697 wrt u? 1484322*u What is the derivative of -17*c*i*w**2 - 2*c*w**2 - 28305*i**4 - 841248*w**2 wrt i? -17*c*w**2 - 113220*i**3 Find the first derivative of 48*h**3*y**2 + 98*h*y**2 + 1757*y**2 wrt h. 144*h**2*y**2 + 98*y**2 Find the third derivative of -10*j**4 + 1436*j**3 - 304637*j**2 wrt j. -240*j + 8616 What is the second derivative of 3146*h**3*z**3 - h**2*z**3 - 3*h*z**3 - 390*h wrt h? 18876*h*z**3 - 2*z**3 What is the third derivative of -134877*b**4 + 5*b**2 - 3*b - 9318? -3237048*b What is the second derivative of 111*b*g**4 + 487*b*g**3 + 2*b*g - 22760*b + 2*g**3 + 5*g wrt g? 1332*b*g**2 + 2922*b*g + 12*g Find the first derivative of 17660*b**2*f + 6*b**2 - 41 wrt f. 17660*b**2 What is the third derivative of b*g**3*l + 19*b*g**3 + 9*b*g**2 - 3*b*g + 30*b*l - 11*g**4*l + g**4 + 2*g**2*l + 2*g**2 wrt g? 6*b*l + 114*b - 264*g*l + 24*g Differentiate 2*d**2*k**2 + 3*d**2*k - d**2 + 3*d*k + 3*d + 35*k**2 + 1022 with respect to k. 4*d**2*k + 3*d**2 + 3*d + 70*k What is the derivative of -4*g**2 + 999*g - 224666? -8*g + 999 Find the first derivative of -45*a**2*d - 590*a*d + 297434*d wrt a. -90*a*d - 590*d What is the third derivative of -609416*t**3 - 3*t**2 - 48532 wrt t? -3656496 What is the third derivative of -r**4 - 7983*r**3 + 125299*r**2 wrt r? -24*r - 47898 Find the third derivative of -1008*k*r**5 - 2*k*r**4 - 768*k*r**2 - 5*k*r wrt r. -60480*k*r**2 - 48*k*r What is the second derivative of -4753414*l**2 + 4260*l - 532 wrt l? -9506828 Find the second derivative of -60673*l*u**2 + 427*l*u - u**3 - 11*u**2 - 1546*u wrt u. -121346*l - 6*u - 22 Differentiate -157890*j**2*w**2 + 89964*j**2 with respect to w. -315780*j**2*w What is the third derivative of -7*o**5 - 56948*o**4 - 2265542*o**2? -420*o**2 - 1366752*o Find the second derivative of -411524*u**4 + 527191*u wrt u. -4938288*u**2 Find the third derivative of 12334*h**5*z**2 - 2*h**4*z**3 + 2*h**2 - 33*h*z + 34*z**3 wrt h. 740040*h**2*z**2 - 48*h*z**3 Find the second derivative of 5*k**5 + 638*k**4 + 3*k**3 + 30023*k + 2. 100*k**3 + 7656*k**2 + 18*k What is the third derivative of -9*r**5 - 471*r**3 - 3*r**2 + 471*r - 9? -540*r**2 - 2826 Find the second derivative of 6761*q**3 + 227*q + 33. 40566*q What is the third derivative of 657619*y**4 - 3*y**2 - 718*y - 14? 15782856*y What is the third derivative of 7822*o**2*x**3 - 5142*o**2*x**2 - 5*o*x**2 - 10*x**4 wrt x? 46932*o**2 - 240*x Differentiate 2*h**3 - 11436*h**2 - h - 99449. 6*h**2 - 22872*h - 1 What is the second derivative of 3461*p**4 - 8*p**3 - p**2 - 118588*p + 1? 41532*p**2 - 48*p - 2 Find the second derivative of 2*b*j*z**2 + b*j*z + 30*b*j + 3*j*z**2 - 54*j + 12692*z**2 wrt z. 4*b*j + 6*j + 25384 What is the second derivative of -4*c**2*i*j - 44532*c**2*i + 2*c**2*j - c*i*j + 1355*c*i + 26*c*j wrt c? -8*i*j - 89064*i + 4*j What is the first derivative of -9728*q*v*x**2 + 4*q*x**2 - 12047*q - 15*v*x + 2*x**2 wrt v? -9728*q*x**2 - 15*x What is the first derivative of -941*k**2 - 198*k - 4834355? -1882*k - 198 What is the derivative of -33613*i - 21985? -33613 Find the second derivative of 5416*i**3*t**2 - 477*i**3 - 5*i*t - 3*t**3 wrt t. 10832*i**3 - 18*t What is the derivative of -1822733*v**2 - 1349788? -3645466*v What is the second derivative of 9611*d**2*n**2 + 4*d**2 + 31*d*n**2 - 4*d - 300*n**2 wrt d? 19222*n**2 + 8 Find the second derivative of 438351*q**2*t**2 - 313767*q**2*t wrt t. 876702*q**2 What is the first derivative of 153158*q**3 + 92766 wrt q? 459474*q**2 What is the second derivative of -c*h*r**2 - 5*c*h*r + c*r - 55*c - 3395*h*r**2 + 2*h*r + r**2 wrt r? -2*c*h - 6790*h + 2 Find the second deriv
{ "pile_set_name": "DM Mathematics" }
nding order. 4, 1/4, 1/5, -0.4 Put 2, 3, -5, -301, 4 in decreasing order. 4, 3, 2, -5, -301 Sort 140, 1/5, -3/2. -3/2, 1/5, 140 Sort 41, 0.1, -0.5, 7/3 in descending order. 41, 7/3, 0.1, -0.5 Sort 1, -7, 0, -3. -7, -3, 0, 1 Put 305, 5, -2, 3, 2 in decreasing order. 305, 5, 3, 2, -2 Sort 17, -5, -6 in increasing order. -6, -5, 17 Sort -1/6, -6, -2, 3. -6, -2, -1/6, 3 Sort 81, 7, -5, 2 in descending order. 81, 7, 2, -5 Sort -11, 0, -4 in descending order. 0, -4, -11 Put 1, 12, -2, 0, -42 in descending order. 12, 1, 0, -2, -42 Sort 0, -4, -5. -5, -4, 0 Put -7, 2, -5, 5 in descending order. 5, 2, -5, -7 Sort 1, -1, -2, 87, 4 in increasing order. -2, -1, 1, 4, 87 Sort -5, 5, 124, -1 in increasing order. -5, -1, 5, 124 Put -47, -1, 2/7, 0.3, 3 in increasing order. -47, -1, 2/7, 0.3, 3 Sort -4, -3/2, -5, -3, 3/4 in decreasing order. 3/4, -3/2, -3, -4, -5 Sort 4, -141, 0 in ascending order. -141, 0, 4 Sort 11, 1, 6. 1, 6, 11 Put 1/4, 0.3, 0.15, -4 in descending order. 0.3, 1/4, 0.15, -4 Put 6, -3, 3/4, 1 in ascending order. -3, 3/4, 1, 6 Sort 0, 5/6, 1 in decreasing order. 1, 5/6, 0 Sort -0.11, -15, 3/2. -15, -0.11, 3/2 Sort -3, -7, -114 in descending order. -3, -7, -114 Put -9, -4, 3/11 in increasing order. -9, -4, 3/11 Sort 25, 2, 4 in descending order. 25, 4, 2 Sort -2/5, 0.5, -4, 1.3 in increasing order. -4, -2/5, 0.5, 1.3 Sort 3, 0.073, 5. 0.073, 3, 5 Sort 2, 7, 5, 4, -21 in descending order. 7, 5, 4, 2, -21 Sort -0.4, 0.5, -2, 0.36 in descending order. 0.5, 0.36, -0.4, -2 Sort 6, 2, -4, -1 in increasing order. -4, -1, 2, 6 Put -4, 3, -4/7, -150 in descending order. 3, -4/7, -4, -150 Sort 134, 19, -1/2 in increasing order. -1/2, 19, 134 Sort 0.1, 7/4, 0 in decreasing order. 7/4, 0.1, 0 Put 1, -1, -0.5, 0.4, -196 in decreasing order. 1, 0.4, -0.5, -1, -196 Sort 1/15, -2/11, -0.43 in descending order. 1/15, -2/11, -0.43 Sort -1, -2, -2/7, -6/7. -2, -1, -6/7, -2/7 Put 3, 1, 2, 16 in increasing order. 1, 2, 3, 16 Sort 1/5, 19, 3. 1/5, 3, 19 Sort 104, -4, -5 in decreasing order. 104, -4, -5 Put -19, -0.03, 3, 0.1 in decreasing order. 3, 0.1, -0.03, -19 Put 19, -3, 14, 2/3, -2/13 in descending order. 19, 14, 2/3, -2/13, -3 Sort 1, 410, 5 in descending order. 410, 5, 1 Put -0.3, 6/5, 0.5 in decreasing order. 6/5, 0.5, -0.3 Sort 0, -0.308, 0.3, -1/9, -3. -3, -0.308, -1/9, 0, 0.3 Put 6, -22, -5, -1, 3 in ascending order. -22, -5, -1, 3, 6 Put -2, -60, 2 in ascending order. -60, -2, 2 Sort -0.4, 1/5, -3 in increasing order. -3, -0.4, 1/5 Sort 0.26, 5, 2/7, 2. 0.26, 2/7, 2, 5 Put 0.5, -2/1449, -3 in descending order. 0.5, -2/1449, -3 Sort 0, -2, 35 in ascending order. -2, 0, 35 Sort -3, -4, -11, 0 in increasing order. -11, -4, -3, 0 Sort 48, -5, 11 in increasing order. -5, 11, 48 Put -333, 3, 7 in decreasing order. 7, 3, -333 Put 60, 1, 4, -4, -3/5 in ascending order. -4, -3/5, 1, 4, 60 Sort 3/4, 1/2, 3, -102 in increasing order. -102, 1/2, 3/4, 3 Sort 5, 0, 63 in descending order. 63, 5, 0 Sort 2, -314, -1, 5 in decreasing order. 5, 2, -1, -314 Sort -4, -1, 136 in decreasing order. 136, -1, -4 Sort 3, -863, 2 in ascending order. -863, 2, 3 Sort 3, 0.1, 1, 0.4 in decreasing order. 3, 1, 0.4, 0.1 Sort -121, 3, -4, 1, 2 in ascending order. -121, -4, 1, 2, 3 Sort 4, -2125, -1. -2125, -1, 4 Put 4, -4, 153, 1, -3 in ascending order. -4, -3, 1, 4, 153 Put -133, -1, -6 in descending order. -1, -6, -133 Sort -16, -1, -12 in increasing order. -16, -12, -1 Put -5, 1, 5, -2 in increasing order. -5, -2, 1, 5 Sort 2/5563, -2/19, -3, -1/4 in ascending order. -3, -1/4, -2/19, 2/5563 Sort -4, -3, -1 in decreasing order. -1, -3, -4 Sort 4, 1, -5, 30 in descending order. 30, 4, 1, -5 Sort -2/5, 2/7, -22.7 in descending order. 2/7, -2/5, -22.7 Sort 31.6, -6, -0.2. -6, -0.2, 31.6 Sort 22, 198, -1, -3. -3, -1, 22, 198 Put 1/6, 1, -1, -4, 0.09 in descending order. 1, 1/6, 0.09, -1, -4 Sort 629, 4, 1 in decreasing order. 629, 4, 1 Sort 470, -2, 2 in increasing order. -2, 2, 470 Sort 3/5, 0.2, 0.3 in decreasing order. 3/5, 0.3, 0.2 Put -2, -524, 5 in decreasing order. 5, -2, -524 Sort 0.1, 2, -71. -71, 0.1, 2 Put 0.4, 0.02, 7 in decreasing order. 7, 0.4, 0.02 Sort 1, 42, -3 in increasing order. -3, 1, 42 Put 10, 1, 11 in descending order. 11, 10, 1 Sort -2, 4, 409, 5. -2, 4, 5, 409 Sort 10, -0.01, 0.07 in ascending order. -0.01, 0.07, 10 Sort 4, -7/307, 1/3. -7/307, 1/3, 4 Sort -488, -12/5, -0.3 in descending order. -0.3, -12/5, -488 Put 20, -4, 6 in increasing order. -4, 6, 20 Put -1889, 4, 0.1 in ascending order. -1889, 0.1, 4 Sort -97, -4, 3, -2 in descending order. 3, -2, -4, -97 Sort -0.3, 0.1, -3. -3, -0.3, 0.1 Sort -3, 5, -29, 0. -29, -3, 0, 5 Put 5, 3/64, -1/3, -4 in ascending order. -4, -1/3, 3/64, 5 Put -10, 4, 2, 19 in descending order. 19, 4, 2, -10 Put 0, 15, -1 in decreasing order. 15, 0, -1 Put 2/17, 2/53, -0.2, -4, 2 in descending order. 2, 2/17, 2/53, -0.2, -4 Put -10/7, 4, -1.8 in ascending order. -1.8, -10/7, 4 Sort 1, 0, 47, -4, -9 in ascending order. -9, -4, 0, 1, 47 Sort 0.3, -5, 2/7, -0.16. -5, -0.16, 2/7, 0.3 Sort 1109, 0.5, 4, 5. 0.5, 4, 5, 1109 Put 5/3, -1, 0.8 in decreasing order. 5/3, 0.8, -1 Put -79, -24, -5 in descending order. -5, -24, -79 Put -4/293, -5, -4 in decreasing order. -4/293, -4, -5 Sort -1, 15, -5, 3. -5, -1, 3, 15 Put -3, 2/7, -0.03, -0.11 in ascending order. -3, -0.11, -0.03, 2/7 Put 0.5, 2, -1, 218, 5 in descending order. 218, 5, 2, 0.5, -1 Put 11, -1, -7 in descending order. 11, -1, -7 Sort -3, 15, 0, -5, -4 in decreasing order. 15, 0, -3, -4, -5 Sort -2, 2, -2128 in descending order. 2, -2, -2128 Sort -3, -14, -79, -5 in descending order. -3, -5, -14, -79 Sort -1/4, -7/3, 20 in descending order. 20, -1/4, -7/3 Sort -15, 2, 467 in increasing order. -15, 2, 467 Sort -0.4, -0.6, -2, -0.3, -13. -13, -2, -0.6, -0.4, -0.3 Put 4, 3/4, -34, -1 in decreasing order. 4, 3/4, -1, -34 Sort 0.2, 8, 0.1, 1/4 in decreasing order. 8, 1/4, 0.2, 0.1 Sort 3, -139, -0.2, 1/8. -139, -0.2, 1/8, 3 Put 0.4, -1/3, -2/13 in descending order. 0.4, -2/13, -1/3 Sort 1, -4, 4, 2 in decreasing order. 4, 2, 1, -4 Put 5, 0.3, -1, 2/9 in increasing order. -1, 2/9, 0.3, 5 Put 182, 0, 8 in decreasing order. 182, 8, 0 Sort -2, 3, -15, 0 in decreasing order. 3, 0, -2, -15 Sort -1/3, -471, -0.3 in decreasing order. -0.3, -1/3, -471 Put 0.2, -4, 5, -4249 in ascending order. -4249, -4, 0.2, 5 Put 1/6, 0.5, 1, -3 in ascending order. -3, 1/6, 0.5, 1 Put -4, -5, -40 in decreasing order. -4, -5, -40 Sort -5, 0, -4, 66 in descending order. 66, 0, -4, -5 Put 9.2, 1, -1 in ascending order. -1, 1, 9.2 Sort -5, 2, -16 in decreasing order. 2, -5, -16 Sort -53, -5, 1 in descending order. 1, -5, -53 Sort -5, 8, 0. -5, 0, 8 Put -1/3, 3, 4, -1, 1/9 in descending order. 4, 3, 1/9, -1/3, -1 Sort -8410, -1, 4, -4 in decreasing order. 4, -1, -4, -8410 Sort 120, 5, -3 in descending order. 120, 5, -3 Sort -39, -0.04, -0.5, -2/3, -5 in decreasing order. -0.04, -0.5, -2/3, -5, -39 Sort -0.1, -12, -3 in increasing order. -12, -3, -0.1 Sort 33, -3, 0.5 in descending order. 33, 0.5, -3 Sort 2, 12, -5, 4 in ascending order. -5, 2, 4, 12 Sort -3, 40.46, 2 in descending order. 40.46, 2, -3 Sort -3, -2/13, -315, 0.5 in descending order. 0.5, -2/13, -3, -315 Put -0.3, -0.4, -8/7, 1/6, 0.4 in increasing order. -8/7, -0.4, -0.3, 1/6, 0.4 Sort -6, -18, 4 in descending order. 4, -6, -18 Sort 91, -1/3, 6 in ascending order. -1/3, 6, 91 Put -1, 0, 22, 2, 4 in ascending order. -1, 0, 2, 4, 22 Put -2, -1.6, 7 in increasing order. -2, -1.6, 7 Sort -21, -1, -12, -2 in decreasing order. -1, -2, -12, -21 Sort 4, -2, 148, 5. -2, 4, 5, 148 Sort -1, -9, 24, -8 in descending order. 24, -1, -8, -9 Sort 266, -2, 6, 5 in descending order. 266, 6, 5, -2 Put 12, -0.3, 5, 4/5 in decreasing order. 12, 5, 4/5, -0.3 Put 4, -1, 1, -2 in increasing order. -2, -1, 1, 4 Sort 2, 1/8, -5, -0.071, 4/9. -5, -0.071, 1/8, 4/9, 2 Put 14, 7.1, 2/5 in descending order. 14, 7.1, 2/5 Sort 20, 5, -2 in decreasing order. 20, 5, -2 Put 5, -1, 1, -4, -11 in ascending order. -11, -4, -1, 1, 5 Sort 0, 2, -1, 16 in descending order. 16, 2, 0, -1 Put -603, 3/2, 0.1, 2 in decreasing order. 2, 3/2, 0.1, -603 Put -3, -5, -9, 1, 0 in ascending order. -9, -5, -3, 0, 1 Put 2, -2, 4, 7 in decreasing order. 7, 4, 2, -2 Sort 2/13, -1/4, -145 in descending
{ "pile_set_name": "DM Mathematics" }
, -36379? -s - 36376 What is the a'th term of -11, 35, 113, 229, 389, 599, 865? a**3 + 10*a**2 + 9*a - 31 What is the f'th term of 59, 61, 63? 2*f + 57 What is the s'th term of 234, 236, 238, 240, 242, 244? 2*s + 232 What is the c'th term of 1, 14, 53, 130, 257, 446, 709? 2*c**3 + c**2 - 4*c + 2 What is the g'th term of -3, 0, 17, 54, 117? g**3 + g**2 - 7*g + 2 What is the c'th term of -169, -666, -1495, -2656? -166*c**2 + c - 4 What is the k'th term of 128, 102, 66, 20, -36, -102? -5*k**2 - 11*k + 144 What is the z'th term of 1266, 1265, 1262, 1257? -z**2 + 2*z + 1265 What is the t'th term of 2, 14, 20, 8, -34, -118? -2*t**3 + 9*t**2 - t - 4 What is the b'th term of -5020, -10042, -15064? -5022*b + 2 What is the a'th term of 17, 20, 23? 3*a + 14 What is the o'th term of -64, -143, -222? -79*o + 15 What is the k'th term of 2, -6, -16, -28, -42? -k**2 - 5*k + 8 What is the f'th term of -1300, -2600, -3900, -5200, -6500? -1300*f What is the w'th term of 238, 474, 710, 946, 1182? 236*w + 2 What is the a'th term of 31, 134, 297, 514, 779, 1086, 1429? -a**3 + 36*a**2 + 2*a - 6 What is the g'th term of -931, -1868, -2807, -3748, -4691, -5636? -g**2 - 934*g + 4 What is the k'th term of -50, -34, -18, -2, 14? 16*k - 66 What is the v'th term of -16, 18, 52, 86, 120? 34*v - 50 What is the g'th term of -39, -240, -779, -1824, -3543? -28*g**3 - g**2 - 2*g - 8 What is the j'th term of 78, 138, 180, 204, 210, 198? -9*j**2 + 87*j What is the r'th term of 4921, 9842, 14763, 19684, 24605, 29526? 4921*r What is the m'th term of 18293, 18300, 18321, 18362, 18429, 18528, 18665? m**3 + m**2 - 3*m + 18294 What is the q'th term of -145, -151, -161, -175, -193, -215? -2*q**2 - 143 What is the r'th term of -38, -63, -82, -95? 3*r**2 - 34*r - 7 What is the z'th term of -65, -135, -209, -287, -369, -455, -545? -2*z**2 - 64*z + 1 What is the j'th term of -53, -62, -69, -74? j**2 - 12*j - 42 What is the i'th term of 332, 331, 326, 317, 304, 287, 266? -2*i**2 + 5*i + 329 What is the l'th term of -190, -383, -580, -781, -986? -2*l**2 - 187*l - 1 What is the u'th term of 12227, 12234, 12245, 12260, 12279, 12302, 12329? 2*u**2 + u + 12224 What is the v'th term of -33, -76, -121, -168, -217, -268? -v**2 - 40*v + 8 What is the n'th term of 91, 69, 19, -71, -213, -419? -2*n**3 - 2*n**2 - 2*n + 97 What is the t'th term of 44, 164, 374, 680, 1088, 1604, 2234, 2984? t**3 + 39*t**2 - 4*t + 8 What is the c'th term of -18, -87, -204, -369, -582, -843? -24*c**2 + 3*c + 3 What is the t'th term of -6770, -13538, -20306, -27074, -33842? -6768*t - 2 What is the i'th term of 43, 67, 91, 115, 139? 24*i + 19 What is the k'th term of 3929, 3921, 3907, 3887? -3*k**2 + k + 3931 What is the n'th term of 7195, 7195, 7193, 7189, 7183, 7175, 7165? -n**2 + 3*n + 7193 What is the h'th term of 563, 560, 545, 512, 455? -h**3 + 4*h + 560 What is the j'th term of -87, -99, -111? -12*j - 75 What is the l'th term of 944, 1886, 2826, 3764, 4700, 5634? -l**2 + 945*l What is the m'th term of -967, -1947, -2927? -980*m + 13 What is the i'th term of -41, -37, -33? 4*i - 45 What is the l'th term of -2496, -2484, -2462, -2424, -2364, -2276, -2154? l**3 - l**2 + 8*l - 2504 What is the c'th term of 25, 69, 131, 211, 309? 9*c**2 + 17*c - 1 What is the a'th term of -10, -17, -34, -73, -146, -265, -442, -689? -2*a**3 + 7*a**2 - 14*a - 1 What is the v'th term of 155, 176, 193, 206, 215, 220? -2*v**2 + 27*v + 130 What is the a'th term of 391, 1566, 3525, 6268, 9795? 392*a**2 - a What is the u'th term of 8, 89, 304, 719, 1400, 2413, 3824? 11*u**3 + u**2 + u - 5 What is the d'th term of 1423, 1435, 1461, 1507, 1579, 1683, 1825, 2011? d**3 + d**2 + 2*d + 1419 What is the t'th term of -5, -47, -125, -245, -413? -t**3 - 12*t**2 + t + 7 What is the y'th term of 655, 2552, 5707, 10114, 15767, 22660? -y**3 + 635*y**2 - y + 22 What is the n'th term of -192, -383, -564, -729, -872? n**3 - n**2 - 195*n + 3 What is the r'th term of 2124, 2125, 2126, 2127, 2128? r + 2123 What is the g'th term of 133, 266, 409, 568, 749, 958, 1201, 1484? g**3 - g**2 + 129*g + 4 What is the j'th term of -36, -92, -174, -294, -464? -2*j**3 - j**2 - 39*j + 6 What is the m'th term of 28410, 28401, 28380, 28341, 28278, 28185? -m**3 - 2*m + 28413 What is the k'th term of -58, -94, -140, -202, -286? -k**3 + k**2 - 32*k - 26 What is the k'th term of 441, 432, 423, 414? -9*k + 450 What is the b'th term of 121, 131, 143, 157? b**2 + 7*b + 113 What is the u'th term of 1864, 3732, 5600, 7468? 1868*u - 4 What is the j'th term of -445, -446, -447? -j - 444 What is the u'th term of -1099, -2198, -3295, -4390, -5483? u**2 - 1102*u + 2 What is the b'th term of -112, -208, -290, -352, -388, -392, -358? b**3 + b**2 - 106*b - 8 What is the w'th term of -103, -104, -105, -106, -107? -w - 102 What is the n'th term of -86, -148, -200, -242? 5*n**2 - 77*n - 14 What is the n'th term of -892, -1766, -2626, -3466, -4280, -5062? n**3 + n**2 - 884*n - 10 What is the h'th term of 132, 131, 128, 123, 116, 107, 96? -h**2 + 2*h + 131 What is the s'th term of 37, 54, 81, 118, 165, 222, 289? 5*s**2 + 2*s + 30 What is the k'th term of -55, -58, -61, -64, -67? -3*k - 52 What is the q'th term of -4425, -8849, -13273, -17697, -22121? -4424*q - 1 What is the k'th term of 18455, 36909, 55363? 18454*k + 1 What is the i'th term of 433, 426, 419, 412, 405? -7*i + 440 What is the h'th term of 406, 1618, 3648, 6502, 10186, 14706, 20068, 26278? h**3 + 403*h**2 - 4*h + 6 What is the m'th term of 1, -24, -49, -74? -25*m + 26 What is the a'th term of 12, 62, 152, 288, 476, 722? a**3 + 14*a**2 + a - 4 What is the a'th term of 1, 14, 35, 70, 125? a**3 - 2*a**2 + 12*a - 10 What is the i'th term of -40, -144, -316, -556? -34*i**2 - 2*i - 4 What is the m'th term of -2056, -2054, -2052, -2050, -2048? 2*m - 2058 What is the s'th term of 47, 219, 507, 911, 1431, 2067? 58*s**2 - 2*s - 9 What is the k'th term of -240, -483, -748, -1041, -1368? -k**3 - 5*k**2 - 221*k - 13 What is the j'th term of -648, -649, -650, -651, -652? -j - 647 What is the z'th term of 5, -2, -9? -7*z + 12 What is the o'th term of -7, -20, -59, -136, -263, -452, -715? -2*o**3 - o**2 + 4*o - 8 What is the u'th term of 36, 15, -14, -51, -96, -149, -210? -4*u**2 - 9*u + 49 What is the w'th term of 70, 65, 58, 49, 38? -w**2 - 2*w + 73 What is the x'th term of 786, 789, 792, 795, 798, 801? 3*x + 783 What is the b'th term of 17661, 17665, 17679, 17709, 17761, 17841, 17955, 18109? b**3 - b**2 + 17661 What is the g'th term of 48, 184, 410, 726, 1132? 45*g**2 + g + 2 What is the m'th term of -11, -2, 13, 34, 61, 94? 3*m**2 - 14 What is the b'th term of -12, -1, 26, 75, 152, 263? b**3 + 2*b**2 - 2*b - 13 What is the j'th term of 146, 114, 54, -40, -174? -j**3 - 8*j**2 - j + 156 What is the b'th term of 14, 17, 12, -7, -46, -111, -208? -b**3 + 2*b**2 + 4*b + 9 What is the v'th term of 1, -4, -9, -14, -19? -5*v + 6 What is the h'th term of 79, 161, 241, 319, 395? -h**2 + 85*h - 5 What is the u'th term of -947, -1895, -2843? -948*u + 1 What is the z'th term of -10663, -21327, -31991, -42655, -53319, -63983? -10664*z + 1 What is the l'th term of 426, 857, 1288? 431*l - 5 What is the n'th term of 1465, 5868, 13205, 23476, 36681, 52820, 71893? 1467*n**2 + 2*n - 4 What is the w'th term of 512, 505, 494, 479, 460, 437, 410? -2*w**2 - w + 515 What is the u'th term of -19, -40, -75, -124, -187, -264, -355? -7*u**2 - 12 What is the v'th term of -21, 11, 45, 75, 95? -v**3 + 7*v**2 + 18*v - 45 What is the g'th term of 20, 19, 16, 11, 4, -5, -16? -g**2 + 2*g + 19 What is the k'th term of -20, -45, -68, -89, -108, -125? k**2 - 28*k + 7 What is the o'th term of -7, -33, -43, -37, -15, 23, 77? 8*o**2 - 50*o + 35 What is the u'th term of -99, -392, -881, -1566? -98*u**2 + u - 2 What is the m'th term of 11, 28, 51, 80, 115, 156? 3*m**2 + 8*m What is the w'th term of -18, -28, -62, -132, -250, -428, -678? -2*w**3 + 4*w - 20 What is the p'th term of 7, 30, 61, 94, 123? -p**3 + 10*p**2 - 2 What is the t'th term of -8, -88, -240, -470, -784, -1188? -t**3 - 30*t**2 + 17*t + 6 What is the t'th term of 199, 203, 223, 265, 335? t**3 + 2*t**2 - 9*t + 205 What is the x'th term of 512, 508, 504? -4*x + 516 What is the m'th term of -3, -15, -57, -147, -303, -543, -885? -3*
{ "pile_set_name": "DM Mathematics" }
(2/c) prime? False Suppose 41384 = 6*w + 13658. Is w a composite number? False Is 2/1 - -1157 - -4 a prime number? True Suppose 5*b + 5*j = -136 - 139, 5*b = 2*j - 254. Is 0 + (-3 - 0) - b composite? True Suppose -n - 10 = -6*n. Let d(r) = r**2 + 0 + 1 + 2*r - n. Is d(2) a composite number? False Suppose -2*t + 76 = 2*i, i - 2*t - 47 - 6 = 0. Suppose 0*k + k = -28. Let u = k + i. Is u a composite number? True Let p(n) = 44*n - n - 8 - 21 + 7. Let v(t) = 14*t - 7. Let i(c) = 2*p(c) - 7*v(c). Is i(-4) a composite number? False Let b(y) = -3*y**3 + 9*y**2 + 5*y - 5. Let k(w) = 7*w**3 - 19*w**2 - 9*w + 10. Let m(a) = -5*b(a) - 2*k(a). Is m(8) a prime number? True Let m be 1/2*(-2 + 2). Suppose -2*f - 2*f = m. Suppose 3*a + a - 212 = f. Is a composite? False Is -3*(2 + (-2974)/6) composite? False Let x be (-399)/27 - 4/18. Is -46*3/(18/x) prime? False Let p(z) = 242*z**2 + 1. Let s be p(1). Suppose 0 = -2*d + s - 49. Is d composite? False Suppose -3*h = -3*w - 27, 4*h = 2*h - 3*w + 8. Let k(x) = 4*x - 3*x + 2*x + x - 6. Is k(h) composite? True Let t(i) be the second derivative of i**5/20 - 5*i**4/12 - 11*i**3/6 - i**2/2 + 9*i. Is t(8) composite? False Let r be 2/5 + (-2)/5. Let l(h) = -h + 14. Let m be l(7). Suppose n - 19 + 60 = 2*i, r = i - 5*n - m. Is i prime? False Let x = 2049 + -863. Is x a prime number? False Suppose -4*x + 980 = -2*h + 56, -3*x - 3*h + 684 = 0. Let q = -163 + x. Is q a composite number? False Let n(g) = 8*g**2 + 33*g + 11. Is n(-14) composite? False Let g = -9 + 13. Suppose -5*l + 5*u + 711 = u, 0 = -l + g*u + 139. Is l a composite number? True Let h(j) = j**3 + 5*j**2 + 2*j - 2. Let r be h(-4). Suppose r*b + 4*k = 2*b + 216, -b + 58 = -3*k. Is b a composite number? True Let a(r) = 17*r - 6. Let x be a(8). Let d = x - 84. Is d a prime number? False Is 4/((-8)/6) - -24 composite? True Suppose 2514 = -5*t + 11*t. Is t prime? True Let i(x) = -4*x**2 + 2 + 0*x**2 + 4*x**2 + 2*x**2 + 9*x. Is i(-7) prime? True Let l(w) = 4*w**3 - 6*w**2 - 6*w - 3. Is l(5) composite? False Let w be 1 + (27/(-3))/(-3). Suppose 2*k - k - 3 = -2*o, 0 = w*k - 5*o - 12. Suppose 52 = 4*j - 3*n - 35, 5*j - 102 = -k*n. Is j prime? False Let y be (28/35)/((-2)/(-10)). Let u(o) = -2 + 2 - 26*o + y. Is u(-5) a prime number? False Suppose -2*p + 0*p = 0. Let n = 3 + p. Suppose 77 = n*z - 2*z. Is z composite? True Suppose f - 790 = -4*f. Is f a prime number? False Let z(h) = 8*h**2 - 4*h - 1. Let a be z(-3). Let w = 24 + -11. Suppose 2*c - a + w = 0. Is c composite? True Suppose -5*p + 17 + 73 = 2*u, -3*u - 15 = 0. Is (-6)/15 - (-2388)/p a composite number? True Let l = 4 - 0. Is ((-290)/8)/(l/(-16)) prime? False Suppose 2*c - 732 = -5*a, -2*a = -c + 80 - 371. Is a a prime number? False Suppose -5*h = 5*i + 15 + 10, -3*i = -3*h + 3. Let g(u) be the third derivative of -u**6/40 - u**5/60 - u**4/12 + u**3/6 + 15*u**2. Is g(h) prime? False Let w(a) = -a**2 + a + 5. Let y be w(0). Suppose 136 - 31 = y*d. Is d prime? False Suppose -14*k + 4404 = -2*k. Is k composite? False Suppose 2*p + c - 109 = 105, -5*p + 522 = -4*c. Is p a prime number? False Let k(g) = g**3 - 3*g**2 + 5*g - 6. Let h be k(7). Suppose d + 4*d = h. Suppose -4*z - 2*b = -106, -d = -2*z + 5*b - 10. Is z prime? False Let f be 2416/(-6) + 13/(-39). Let c = f - -662. Is c composite? True Let i(l) = -l**3 - 3*l**2 - l + 2. Let z be (-4)/14 - (-12)/(-7). Let o be i(z). Suppose 2*s - 5*u - 321 = 0, o = 3*s - s + u - 327. Is s prime? True Let t = 1377 + -736. Is t composite? False Let b = 0 - 0. Suppose -t - 3 = b, -5 = 4*d - 2*d + 3*t. Suppose -h - 9 = -d*h. Is h a composite number? True Let r(h) = 3*h**2 + 11*h + 7. Let n = 7 - 14. Is r(n) prime? False Let m(b) = 5*b**3 + 7*b**2 + 4*b - 5. Let r(w) = -w**3 - w**2 + 1. Let u(n) = -m(n) - 6*r(n). Is u(6) composite? True Is 5807 - 18/(-12)*(-16)/6 prime? False Let d(t) = 93*t - 1. Let g be d(-3). Let m be (-6)/(-4 - -2) + -9. Is g/m + (-2)/(-6) a composite number? False Suppose -b + 2514 = b. Is (b/((-3)/1))/(-1) a composite number? False Let c(d) be the first derivative of -21*d**2/2 - d - 1. Let j(t) = -6*t**2 + 2. Let i be j(1). Is c(i) a prime number? True Let t = -4 + 6. Suppose 12 = t*k - 4*f, -4*k - 2*f + 1 = -3. Suppose 0 = -5*v + g - 59 + 159, -k*v + 2*g = -48. Is v prime? True Suppose -18*p - 87 = -19*p. Is p prime? False Let m(s) = 3 - 2 - 3*s**2 + s**3 + 2*s + 14*s**2 + 0*s**3. Is m(-8) a prime number? False Let q(m) be the second derivative of -m**3/6 + 211*m**2/2 + 9*m. Let z be 1/(-2) + (-1)/(-2). Is q(z) composite? False Let b = -5 + 5. Suppose 149 = k - b*k. Is k composite? False Let k(q) = q + 5. Is k(-3) composite? False Let c be (-12)/(-2)*4/8. Is 147 - (-1 + (-3)/c) a prime number? True Suppose 2*j + 33 = u, 3*u = -0*j + 3*j + 96. Is u a composite number? False Suppose 0 = 5*s - 3*c + 9, -2*c = -6. Suppose -4*l - 5*n + 40 = s, 3*l + 5*n = -0*n + 35. Suppose -4*f - 2*w + 117 = f, l*w - 28 = -f. Is f composite? False Suppose 2*m - 161 = 221. Is m a prime number? True Let i(u) = u**3 - u**2 - 2*u + 1. Let s be i(2). Let o(l) be the second derivative of 35*l**3/6 - 2*l. Is o(s) a prime number? False Let a(k) = 21*k**2 - 4*k + 5. Let f(l) = -l**2 + 6*l + 10. Let g be f(8). Let y be a(g). Suppose 0 = -2*u - 3*u + y. Is u prime? True Let k = -44 - -17. Let p = 72 - 26. Let h = k + p. Is h prime? True Suppose 2*b - 4 = n, 3*b + 1 = 10. Suppose -n*f = -4*f - 4. Is 55 + 1*f + 0 prime? True Let b(w) = 111*w + 44. Is b(17) a prime number? True Suppose 3*p - 1440 = 4*t - 269, 814 = 2*p + 4*t. Suppose 3*b = 152 + p. Is b prime? False Let p be -2 + 0 + 154/1. Let g = p - 96. Suppose g - 180 = -4*q. Is q composite? False Let c(o) = 3*o**3 - 12*o**2 + 16*o + 11. Let g(q) = -2*q**3 + 11*q**2 - 15*q - 11. Let n(l) = 3*c(l) + 4*g(l). Is n(-8) a prime number? False Let o(t) = 20*t + 3 + 3 - 3*t**2 - 16*t - 3*t**2 - 2*t**3. Is o(-5) a prime number? False Let r be (-1 - -1)/(0 - 1). Suppose -5*o + 3*o = m + 5, -3*o = -2*m - 10. Suppose o*b - 2*b + 42 = r. Is b a prime number? False Let u(c) = c**3 + 12*c**2 + 10*c + 6. Let t be u(-8). Suppose 5*k = 4*p + 3*k - t, -5*k = 2*p - 61. Is p prime? True Let k be -76 - 3/(-12)*0. Let o = 87 - k. Is o a composite number? False Let x(q) = -q**3 - 6*q**2 - 11*q + 1. Is x(-7) a prime number? True Suppose u + 20 = -3*x + 7*x, 3*x = -u + 8. Let b be -1 + 0 - 1*627. Is b/(-12) - u/6 prime? True Suppose -316 = -0*k - 4*k. Is k prime? True Suppose 3*a = 4*a + 24. Let f = 5 - a. Suppose 200 = 4*k - 4*p, -k - 4*p + 16 = -f. Is k a composite number? True Let g(m) = 66*m + 6. Let d be g(-5). Is 1/2 - d/24 prime? False Suppose -121 = -2*g - 3*t + 640, 5*t = -4*g + 1521. Is g a prime number? True Suppose 2*x + 12 = 4*d, 15 = x + d + 4*d. Suppose 7*g - 2*g - 475 = x. Is g prime? False Let b be (-68)/20 - (-2)/5. Let s(h) be the first derivative of -3*h**4/2 - 4*h**3/3 - 3*h**2/2 - 4*h + 1. Is s(b) a composite number? False Suppose 4*s + 116 = 8*s. Let o = s - -8. Is o prime? True Suppose 3*o - 108 + 24 = -5*n, -n = 0. Suppose 2*a = 3*d - 379, 110 = d - 3*a - o. Is d composite? True Suppose 0 = -y + 1 + 1. Let o be 2*y - 0/1. Suppose -4*z - 5*g = -120, o*g = -3*z - g + 85. Is z a prime number? False Let b = 820 + -571. Is b composite? True Let a(z) = -z**2 - 8*z + 4. Suppose 3*h + 2*y + 34 = -h, -h = -5*y + 3. Let i be a(h). Suppose 5*n = i*g - 76, -n = -5*g + n + 78. Is g prime? False Suppose -20*t + 11026 = -22674. Is t prime? False Suppose -3*h = -y + h + 1575, -3*y + 2*h = -4775. Suppose -60 = -5*s + y. Is s a composite number? False Let p(x) = 4*x**2 - 5*x + 3. Let b(o) = 4*o - 1. Let s be b(1). Let z be p(s). Suppose 157 + z = 4*w - 5*j, -2*j = 10. Is w composite? True Suppose 25 + 97 = x. Suppose t - x = u, 394 = 3*t + 3*u + u. Suppose 4*p - 2*c = 204, -3*p + t = -p + 5*c. Is p prime? True Suppose -t - m = -387, -3*m = -4*t + 727 + 849. Is t a prime number? False Let p(c) = -c + 6. Let t be p(4). Suppose 2*l = 3*d - 6, 2*d - t*l - 2*l = 4. Suppose 66 = d*r - 5*k, -88 = -6*r + 2*r - k. Is r a composite number? False Let d(n) = 2*n**2 - 8*n + 9. Let k be d(6). Suppose -k = x - 238. Is x prime? False Let p(h) = h - 3. Let y be p(5). Suppose 0*v + v = y. Is v a prime number? True Let v(b) = 4 - 3 - 2 - 26*b - 24*b. Is v(-3)
{ "pile_set_name": "DM Mathematics" }
2, l: 1, z: 1}. Give prob of sequence bl. 1/6 Four letters picked without replacement from bzznbwnbwbwwzbw. What is prob of sequence wnnz? 1/1092 What is prob of sequence vfhj when four letters picked without replacement from mmvjfhw? 1/840 Two letters picked without replacement from eywmeywm. Give prob of sequence ee. 1/28 Two letters picked without replacement from {g: 9, b: 2, y: 7}. Give prob of sequence by. 7/153 Four letters picked without replacement from {s: 1, a: 1, o: 2, f: 3, q: 6}. Give prob of sequence aqqf. 3/572 What is prob of sequence sss when three letters picked without replacement from {j: 7, s: 4}? 4/165 Three letters picked without replacement from thqixxi. What is prob of sequence qtx? 1/105 What is prob of sequence tft when three letters picked without replacement from {t: 2, g: 1, r: 1, p: 1, f: 1, e: 1}? 1/105 Two letters picked without replacement from xxxrwxuxrrrrrrrrymux. Give prob of sequence uu. 1/190 Two letters picked without replacement from {c: 4, l: 3}. What is prob of sequence ll? 1/7 What is prob of sequence uuu when three letters picked without replacement from uuuuuuu? 1 Two letters picked without replacement from jjoffdjaaojojojdjfjf. What is prob of sequence aj? 4/95 Four letters picked without replacement from yojojyjjyjojjo. What is prob of sequence jojo? 3/143 Calculate prob of sequence jy when two letters picked without replacement from jjzcyhjczc. 1/30 Calculate prob of sequence sl when two letters picked without replacement from {s: 6, d: 1, l: 4, y: 1, f: 1}. 2/13 Calculate prob of sequence ttj when three letters picked without replacement from tjtttttt. 1/8 Calculate prob of sequence zs when two letters picked without replacement from cznecscxxxz. 1/55 Calculate prob of sequence mmm when three letters picked without replacement from {m: 10}. 1 Three letters picked without replacement from scszysccccyq. Give prob of sequence qsz. 1/440 Two letters picked without replacement from {r: 2, i: 2, j: 4, h: 1}. What is prob of sequence hr? 1/36 Calculate prob of sequence ti when two letters picked without replacement from {f: 1, i: 2, c: 2, u: 1, t: 4}. 4/45 Two letters picked without replacement from tduogso. Give prob of sequence ou. 1/21 Calculate prob of sequence dtjd when four letters picked without replacement from {p: 1, j: 2, h: 2, d: 2, t: 1, s: 4}. 1/2970 What is prob of sequence kdcv when four letters picked without replacement from ckkukdxdxvuv? 1/990 What is prob of sequence xx when two letters picked without replacement from {q: 2, e: 10, x: 4, m: 1, z: 2}? 2/57 Three letters picked without replacement from {i: 1, z: 4, p: 6}. What is prob of sequence pzi? 4/165 Two letters picked without replacement from ennnnennnn. What is prob of sequence nn? 28/45 What is prob of sequence xkwk when four letters picked without replacement from xwxkwxxsxwkkk? 3/286 Three letters picked without replacement from mojm. What is prob of sequence jom? 1/12 What is prob of sequence uzez when four letters picked without replacement from ttettzeuteutzeuuuu? 1/1530 What is prob of sequence dq when two letters picked without replacement from {x: 1, i: 2, w: 1, q: 4, d: 2}? 4/45 What is prob of sequence ks when two letters picked without replacement from skfwfkkggffggq? 3/182 Two letters picked without replacement from {n: 2, a: 9, r: 8, s: 1}. Give prob of sequence rs. 2/95 What is prob of sequence gn when two letters picked without replacement from giyingggn? 1/9 Two letters picked without replacement from ddxnldlnfxlxs. Give prob of sequence nd. 1/26 What is prob of sequence iysi when four letters picked without replacement from {i: 3, y: 1, x: 2, w: 4, p: 2, s: 2}? 1/2002 Calculate prob of sequence kddp when four letters picked without replacement from {p: 1, q: 3, d: 4, v: 1, x: 4, k: 1}. 1/2002 Three letters picked without replacement from {m: 1, a: 11, s: 2, n: 1}. Give prob of sequence mns. 1/1365 Four letters picked without replacement from {p: 7, n: 6, s: 1}. What is prob of sequence ppnn? 15/286 Calculate prob of sequence blb when three letters picked without replacement from wlvwwavwabwwbv. 1/1092 Two letters picked without replacement from {f: 2, u: 2}. Give prob of sequence fu. 1/3 Two letters picked without replacement from {z: 1, h: 1, c: 1}. Give prob of sequence hz. 1/6 Two letters picked without replacement from kbeebgebggwgebgeggi. Give prob of sequence eb. 10/171 Two letters picked without replacement from {p: 10, g: 2, f: 1, x: 1}. Give prob of sequence xp. 5/91 Three letters picked without replacement from {a: 3, t: 10, e: 2, l: 3}. What is prob of sequence eaa? 1/408 What is prob of sequence wj when two letters picked without replacement from jwjjwpji? 1/7 Three letters picked without replacement from {y: 4, o: 2, a: 2, k: 8}. What is prob of sequence kko? 1/30 Calculate prob of sequence xgb when three letters picked without replacement from {x: 1, b: 7, t: 2, g: 3, k: 3, m: 2}. 7/1632 Calculate prob of sequence ww when two letters picked without replacement from wsojwwolll. 1/15 Three letters picked without replacement from fzgyfayaafgygggfpfgy. What is prob of sequence zyg? 1/285 What is prob of sequence llll when four letters picked without replacement from {l: 6, x: 12}? 1/204 Four letters picked without replacement from {b: 3, u: 8, g: 6, f: 1}. Give prob of sequence gugf. 1/306 Three letters picked without replacement from bfewh. Give prob of sequence ewh. 1/60 Calculate prob of sequence iw when two letters picked without replacement from {f: 2, i: 2, w: 3, c: 2}. 1/12 What is prob of sequence ggfj when four letters picked without replacement from fgjjgjggbgffjjggjg? 7/510 Three letters picked without replacement from szsdmqzsczmqm. What is prob of sequence sqs? 1/143 What is prob of sequence occo when four letters picked without replacement from oococcc? 3/35 What is prob of sequence xxxx when four letters picked without replacement from xxxxxxxxxxxxxlx? 11/15 Three letters picked without replacement from ilyommi. What is prob of sequence mlo? 1/105 Two letters picked without replacement from xhicu. Give prob of sequence hu. 1/20 Calculate prob of sequence riii when four letters picked without replacement from rairxii. 1/70 What is prob of sequence su when two letters picked without replacement from {u: 8, s: 5}? 10/39 Calculate prob of sequence pffp when four letters picked without replacement from fpfxkpkixplplfl. 1/455 Three letters picked without replacement from {t: 2, k: 1, z: 1, m: 1, o: 2, s: 1}. Give prob of sequence oot. 1/84 What is prob of sequence avo when three letters picked without replacement from {o: 2, v: 3, p: 4, a: 6}? 6/455 Three letters picked without replacement from {d: 5, i: 8, u: 1, t: 2, h: 1}. Give prob of sequence iii. 7/85 Calculate prob of sequence aga when three letters picked without replacement from {k: 1, a: 1, w: 1, i: 2, b: 1, g: 1}. 0 What is prob of sequence rkkk when four letters picked without replacement from rrrrrrrrrkrrrrrrrkrk? 1/1140 What is prob of sequence fw when two letters picked without replacement from wywwjwwfffwyfwywwww? 22/171 Two letters picked without replacement from {b: 1, l: 7, j: 4, d: 2, c: 2}. What is prob of sequence bd? 1/120 Calculate prob of sequence cj when two letters picked without replacement from {s: 3, j: 1, c: 16}. 4/95 Three letters picked without replacement from eeffaeeeaafefe. What is prob of sequence aea? 1/52 Three letters picked without replacement from {h: 1, s: 5, u: 3, k: 1, a: 1}. What is prob of sequence hak? 1/990 Three letters picked without replacement from skvsskksvvkssv. What is prob of sequence kvv? 2/91 Calculate prob of sequence dudu when four letters picked without replacement from {u: 3, w: 2, d: 3}. 3/140 Calculate prob of sequence qz when two letters picked without replacement from {r: 1, q: 1, z: 2, b: 1}. 1/10 Four letters picked without replacement from jhhjhjhh. Give prob of sequence hhhj. 3/28 What is prob of sequence jee when three letters picked without replacement from ejcjeje? 3/35 Calculate prob of sequence eqee when four letters picked without replacement from {q: 4, o: 3, e: 2}. 0 What is prob of sequence ety when three letters picked without replacement from {i: 9, l:
{ "pile_set_name": "DM Mathematics" }
-b + 17 = -a*b + 5*n, 3*n + 5 = 5*b for b. 4 Suppose 13*c - 173 + 147 = 0. Solve 3*v + c*y - 4 = 0, 5*v + 6*y - 10 = y for v. 0 Let a = -34 + 37. Solve 4*w = 4*v + 20, -6 = -3*w - a*v + 9 for w. 5 Let y(v) = -24*v + 171. Let o be y(7). Solve -5*a - 30 = -5*l, -2*l - 10 = 3*a - o*l for a. -2 Suppose -4*z - 15 + 5 = -t, -8 = -5*t - z. Solve s + h = 3, h + 5 - 12 = -t*s for s. 4 Let b be (-22)/(-2) - (-6 + 8) - 3. Solve 18 = -4*u + 5*k + b, 0 = 2*u + 3*k - 16 for u. 2 Suppose -2*t - 2 = -2*z, -3*t = -5*z + t + 10. Suppose -o = -3 - z. Let y be (-40)/(-12) - (-6)/o. Solve 0*q = -2*q - 2*v - y, -2*v = -2*q - 4 for q. -2 Suppose 2*g = 6 + 6. Suppose 3*h + 6 + g = 0. Let d be (3 - (h - -6)) + 30. Solve 3*j - d = 4*a + a, -j + 4*a = -22 for j. 2 Suppose 5*i - 12 = -42. Let g = -1 - i. Suppose -18 = -2*a - 5*k, -g*k = -15 + 5. Solve 4*p - 4*v = a, -6*p + p - 4*v - 40 = 0 for p. -4 Let h(q) = 5*q**2 - 3 - 2*q - 10*q**2 + 7*q**2. Let w be h(4). Suppose -8 = j - 4*i, 0 = -j + 4*j + 3*i - w. Solve j*k + 3*v + 3 = 4, -3*v = k - 7 for k. -2 Let o be 18/4 - 3/(-6). Suppose -u + o*u = 8. Solve u*d = 4*d - 2*t - 18, 11 = -d - 3*t for d. 4 Let a = -285 + 312. Solve -a = -5*q + 2*q + 3*o, q = -4*o - 16 for q. 4 Suppose -16*q = -14*q - 4. Solve -i = q*i + s + 13, 5*i + 3*s + 27 = 0 for i. -3 Let g(w) = 3*w**3 + 2*w**2 - w. Let t be g(1). Let b = -22 + 24. Let r be b/14 + (-7)/49. Solve -4*m = -k + 2, -3*m + k - t + 3 = r for m. -1 Suppose 142 = 3*n + 133. Suppose 3*j = 8 + 10. Solve 0*b + n*k - j = -4*b, -4*b - k = -10 for b. 3 Let k be (-3 - -10) + -1*2. Suppose 4*m = -14 + 54. Let r = m - 10. Solve -2*h + 22 = 5*f - k*h, 3*h - 3 = r for f. 5 Suppose 10 = 5*u - 3*w, 0 = -2*u + 4*w + 6 - 16. Solve -2*s + 3*g - u - 5 = 0, 0 = -s + g - 3 for s. 1 Suppose -4 - 5 = -3*o, 3*o - 64 = -5*a. Let r be 3/(-2)*(-12)/9. Let w = 1770 - 1766. Solve 2*f - 12 - r = u, f = -w*u - a for f. 5 Let g be (30/9 + -2)*3. Solve 3*l + 16 = 4*n, 2*n = -3*l + 12 - g for l. 0 Let y(p) = -2*p - 13. Let f be y(-8). Solve -f*k = 5*t + 18, 4 = -k + 2*t + 9 for k. -1 Let q = 171 - 152. Suppose -15*j - 8 = -q*j. Solve 5*u = -j*v + 18, -2*u - 2*v - 10 = -4*u for u. 4 Let a = 273 + -271. Suppose -5*k + 30 = 4*g, 0*k = 4*k + a*g - 18. Suppose -2 = -3*s + 10. Solve -1 = -k*c - t + s, -2*c - 2*t + 6 = 0 for c. 2 Let o be 3302/5 - (-2)/(-5). Let i be (-2)/(-8) - o/(-48). Let y be (-6)/4 + i/4. Solve -m = -y*m - 1, 3*m = -x - 4 for x. -1 Suppose 0 = -5*s - 0*s + 20. Suppose -s*a + 2 = -3*a. Suppose t - 38 = 5*o, -9*t + o = -14*t + 60. Solve -3*b - 3*y = -b - 12, 3*b = -a*y + t for b. 3 Let r = 5 + 10. Suppose r = -0*m + 5*m. Let f = -3 + 7. Solve -m = -0*o - o - 2*p, 4 = -f*p for o. 5 Let h(x) = 4*x + 33. Let w(y) = y + 6. Let f be w(-13). Let n be h(f). Solve 5*j - 17 = -3*p, 5*p - p + n*j - 21 = 0 for p. 4 Let m(x) = -4*x - 31. Let l be m(-15). Let v = l + -26. Solve 0 = -v*t + 4*n - 23, 0 = 4*t + t + 3*n - 10 for t. -1 Let g(h) = h + 75 + 80 - 140. Let u be g(-12). Solve -4*p + 3*z = -9, -4*p - u*z + 2 = -13 for p. 3 Let o = 137 + -135. Let n be 1*(-3)/(-9)*3. Let j be -2*n + 21/3. Solve j = o*l + 3, -x = l for x. -1 Let m = 1255 + -1245. Solve -l - 3*r + 7*r = -11, -3*r = l + m for l. -1 Let b(l) = -l**2 - l + 2. Let f be b(-4). Let d be (0 - f)*(1 - (-3)/(-5)). Let t(z) = -z**2 + 9. Let n be t(0). Solve 2*r - d*h - 3 = n, 6 = -2*h for r. 0 Let i = 75 - 70. Suppose 0 = -4*u - i*d + 32, 9 = 5*u + 2*d - 14. Solve -24 = -4*q + u*m - 4*m, -2*q - 2*m + 18 = 0 for q. 5 Suppose -34*c + 64 = -4. Solve -5*l + 36 = -0*l + 4*n, 4*n - 24 = -c*l for l. 4 Let s = 1 + 0. Let i be s/2 + (-25)/(-10). Let y be 0 + 1/2 + (-5)/10. Solve -i*h = 4*k - 7*k - 15, -2*h - 4*k + 10 = y for h. 5 Let c(f) be the first derivative of 3/2*f**2 + 2*f + 1/4*f**4 - 4/3*f**3 - 8. Let j be c(3). Solve -r = -2*i - 6, j*i + 10 = -0 for r. -4 Let q be 4/(-3)*3 - -8. Let a be 42/12 - (-3)/(-2). Suppose a*o - 12 = -q. Solve 5*j - j + 24 = o*m, 5*j = 2*m - 27 for j. -5 Let j be -2 + (10 - 7) + -3 + 0. Let h be j/14 - (-88)/28. Solve c + 4*p - h - 14 = 0, -4*c + 2*p + 14 = 0 for c. 5 Let n = -121 + 141. Solve -3 = 3*s - 3*h, 0 = -3*s - s - 4*h - n for s. -3 Suppose 5*q + 4 = -181. Let x = 38 + q. Solve -4*m - 3*d + 4 - 11 = 0, 0 = -m + 2*d + x for m. -1 Let q(g) = g - 9. Suppose 0*k - 4*n - 42 = -3*k, -k = -5*n - 3. Suppose -4*f + k + 26 = 0. Let m be q(f). Solve -4*z = 5*t - 3 + 7, m*t + 20 = 3*z for z. 4 Let r(v) = -v**2 - 7*v + 101. Let o be r(-14). Solve 7 = -2*a - 5*s, -6*s = 2*a - o*s + 1 for a. 4 Suppose -11*h + 770 = -187. Let k = h + -82. Solve 35 = -k*a - 5*r, 5*r + 1 + 14 = 0 for a. -4 Suppose 25 = 2*h + k, 2*h - 5*k + 4 = 23. Solve -2*s + 2*a = -h, -2*s + 2 = 5*a + 11 for s. 3 Suppose 3*k + k = 0. Suppose k = -2*v - 2*w + 28, -3*v - 2*w = 2*v - 64. Let r be (-2)/8 + 3/v. Solve r = 4*y + m - 17, -2*y + 4 = -4*m - 0*m for y. 4 Suppose 3*z = z - f - 3, -5*z + f = -3. Suppose 3*p = -g + 16, 2*g + z*p - 5*p = 10. Suppose -3*m + g = 2*m. Solve m + 0 = -2*t + 4*q, 24 = -4*t - 2*q for t. -5 Suppose 5*u + 49*x = 52*x + 8, -x + 4 = 5*u. Suppose 0 = -d + 2 - 0. Suppose -o + u = -d. Solve -18 + 3 = -3*k + 3*r, k = -o*r + 1 for k. 4 Let j = -22 - -33. Suppose 0 = -5*y - 1 + j. Solve -5*z - 14 = -l + y*l, l + 6 = -z for z. -2 Let a(k) = -12*k + 158. Let r be a(11). Solve 3*w + r = -5*x + 4, -x - 14 = 3*w for x. -2 Suppose 2*l = j + 8, 0 = 4*l - 2*l + 4*j - 18. Solve 5*s + 5*h - 5 - l = 0, 4*h = 4*s for s. 1 Let c(q) = q**3 - 10*q**2 + 20*q - 7. Let v be c(8). Let w = v - 21. Solve 4*p + 3*n = 8*n + 16, -5*n = w*p - 16 for p. 4 Let h(p) = -p**3 + 3*p**2 + 5*p - 3. Let a be h(5). Let z be a/(-7) - (0 + 2). Let j be ((-2)/3)/((-1)/3). Solve j*u - 3*x + z*x = 5, u + 3*x + 15 = 0 for u. 0 Let x = 836 - 833. Solve -2*n - 18 = 4*h, -5*n = -n - 3*h + x for n. -3 Let m = 85 - 83. Solve -m*g + 7*g = -2*r - 17, 0 = -5*g - 5*r - 5 for g. -5 Let d = -344 - -350. Solve -2*c = -3*m + 14, 5*m + 4*c + d = -0*m for m. 2 Let h(x) be the third derivative of -x**2 - 1/12*x**4 + 1/60*x**5 + 0*x + 0 + 1/6*x**3. Let v be h(3). Solve 0 = -v*j + z - 4, 1 = -j - 2*z + 9 for j. 0 Let b = -93 - 2. Let k = b - -98. Solve 4*x = 2*a - 12 + 30, k*x = -3*a + 18 for x. 5 Let m(p) = -5*p - 58. Let i be m(-12). Suppose -3*a - 12 = -15*a. Solve -z + 1 = k, i*z - a = z for k. 0 Let p = -273 - -273. Solve p = 3*u - 7*u - 2*k - 24, -4*u - k - 22 = 0 for u. -5 Let s(v) = -32*v + 164. Let b be s(5). Solve 0 = b*a - 0*f + 4*f, -2 = -f for a. -2 Let v(a) = a + 21. Let t be v(-11). Let n be t/(-2)*8/(-10). Solve 5*c + 14 = 3*k, 2*k + n*c = -0 + 2 for k. 3 Let a(i) = -11*i - 53. Let c be a(-5). Suppose -12*n - c*n = -28. Solve 4*b = -2*x + n, -30 = 4*x - 3*b - 1 for x. -5 Let h(n) = 5*n - 35. Let f be h(8). Let b be (10/f - 4) + 6. Solve 2*u + 4 - 10 = 3*x, -3*x - b*u - 6 = 0 for x. -2 Suppose 4*a - 29 - 59 = -4*y, -5*a = -y - 98. Suppose 0*u + a = 4*u. Solve 3*r - i = -4, -u*r = -0*r - 5*i + 20 for r. 0 Let w(m) = m**2 - 15*m + 54. Let p be w(9). Let d(b) = 7*b + 1 - 3*b**2 + 0*b**2 + 4*b**2 + 0*b. Let n be d(-7). Solve 0 = 2*g + 4, 2*g + p*g - n = x for x. -5 Let z(q) = q**2 + 2*q + 1. Let h be z(-1). Let c(l) = l**2 - 9*l - 67. Let u be c(14). Solve -u*k + 4*s = 10 - 1, h = -4*s for k. -3 Suppose -6*z + 20 = -2*z. Solve z*p = -5*d + 15, 4*d + 3 + 1 = 0 for p. 4 Suppose -3*x - 2*v = -0 + 8, -x + 3*v + 12 = 0. Solve -5*k - 20 = 5*g, x = 5*g - 3*g + 2 for k. -3 Suppose 21*j + 3*t = 16*j - 5, 0 = 5*j + t - 5. Solve 4*m + 20 = 4*u, 3*m + 2*u + 1 = -j*u for m. -3 Suppose -5 = v, -5*v - 12 - 13 = i. Solve i = -3*r + 5*k - 14, 3*k = -r - 0*r for r. -3 Suppose -6 = 6*g - 12. Let s be 1*(1 + g) + (26 - 18). Solve 0 = 2*q + 2*u - 4, -q - 5*u + s = q for q. 0 Let a = -837 + 842. Solve l = 3*t - 4*l + 11, -a = -5*l for t. -2 Let r(g) = g**3 + 12*g**2 - 15*g - 12. Suppose 4*n = -58 + 6. Let v be r(n). Solve -v - 3 = -5*y + s, -5*y + 2*s = -19 for y. 3 Let j = 36 - 6. Let p = -27 + j. Solve h + 5 = 0, 6*h + 40 = -5*t + p*h for t. -5 Let w(b) = -3*b - 17. Let k be w(-11). Suppose -k*l - 15 = -21*l. Solve -4*s - 14 = 2*c, 2*s + l*c = 4*c - 1 for s. -2 Let p = 1032 + -1032. Suppose -3*g + 2 = -4. Solve -g*t + x = -10, -4*t + 3*x = -p*x - 20 for t. 5 Let f = -353 - -358. Solve -a + 2 = b, 5*b = b + f*a
{ "pile_set_name": "DM Mathematics" }
2*d + 2 = 0. Is (p + 4)*62/4 a prime number? True Let l(h) = h + 2. Let g be l(2). Is 44/2*g - -1 composite? False Is (150 - 23)*(-1 + 2 - 0) a prime number? True Let m = 1 + 1. Suppose -435 = -5*h + 5*v, m*v + v = -6. Is h a composite number? True Let t = -1210 + 1727. Suppose -3*i = t - 163. Let w = i + 176. Is w composite? True Suppose 0 = v + 4*t - 15, 2*v = -2*v + 5*t - 3. Suppose v*c = -c + 892. Is c prime? True Let a(v) = 2*v**3 - 17*v**2 - 2*v + 16. Is a(13) prime? True Suppose 5*y - u - 3913 = 16035, -y + 3992 = -u. Is y a composite number? False Let p = 725 + -276. Is p prime? True Let r = 502 + 1818. Suppose -4*p = 4*k + 233 - 2105, 5*p + r = 5*k. Suppose -67 = 3*h - k. Is h a prime number? False Let g(m) = 23*m + 2. Let p(r) = r**3 + 10*r**2 + 9*r + 4. Let z be p(-9). Let d be g(z). Let t = 161 - d. Is t prime? True Suppose 5*y + 1465 = 3*c - 539, c + 3*y = 682. Is c prime? True Let w(m) = 1 + 1 + 5*m + 0 + 2. Is w(6) prime? False Let i(l) = -1. Let d(g) = g + 11. Let f(z) = -d(z) - 5*i(z). Let t be f(-12). Let w(y) = -y**3 + 11*y**2 + 6*y + 7. Is w(t) composite? False Let g(n) = -176*n**3 - n**2 - 1. Is g(-2) a composite number? True Let a(i) = 15*i + 4. Let o(k) = -16*k - 5. Let u(v) = 4*a(v) + 5*o(v). Let t(x) = -4*x + 2. Let b be t(2). Is u(b) prime? False Suppose -t = 4*z - 19, z - 5*t = 28 + 3. Let m be ((-27)/6)/(1/z). Let f = m + 104. Is f a prime number? False Let h be (14/(-3) - -3)*-3. Suppose 3*z - h*c = 270, 4*z - c + 83 = 426. Let l = 134 - z. Is l composite? True Suppose -3*k + 186 = -2*k. Suppose 2*d - 4*c = k, -225 = -2*d + 3*c - 37. Is d a prime number? True Is -6172*(-5 + 65/20) a prime number? False Suppose 430 = u + 2*u + o, -u + 3*o = -150. Let v = u + -97. Is v a prime number? True Let q = 637 - 426. Is q prime? True Let d be (-1257)/12 + (-2)/8. Let a = -194 + 135. Let k = a - d. Is k prime? False Is (53/(-2))/(3/(-6)) prime? True Suppose -4*y + 3352 - 832 = 0. Suppose y = 3*d + 3*u, 0*d - 4*d - 5*u = -835. Is d a prime number? False Suppose -3*z = -2*h - 232, 605 = -0*h - 5*h - 5*z. Let k = h + 280. Is k a composite number? True Suppose -f = -3*h + 233, -h + 3*f = 2*h - 237. Is h prime? False Let x(r) = -28*r. Let d(h) = -28*h + 1. Let t(p) = 2*d(p) - 3*x(p). Is t(9) a prime number? False Let v = -43 - -65. Is v composite? True Let s be ((-2)/2)/((-2)/(-4)). Is 15 + s/(0 - -2) prime? False Suppose 2*h - 3*h + 3 = 0. Suppose -2*a + 6*a - 5*x = 10, -3*a - 6 = h*x. Suppose 4*u = y - 7, u = -2*y - a + 23. Is y a composite number? False Suppose 4 = -2*t + 24. Is 1566/10 + 4/t composite? False Suppose 0*j + 3*j = -114. Let n(f) = -83*f**3 - f**2 - f + 1. Let z be n(1). Let t = j - z. Is t a prime number? False Suppose -153 = -4*m + m. Suppose -2*u - 5 = -m. Is u composite? False Let f(n) = -n - 166. Let h be f(0). Is 2 + (h + -2)/(-3) composite? True Suppose 0 = 5*n + 11 + 4, -4*n = 2*p + 4. Let d be ((-15)/(-20))/(1/p). Suppose -d*y = -y - 6. Is y a composite number? False Let r = 99 + 87. Is r/26 + 12/(-78) composite? False Suppose 2*g = 236 + 20. Suppose 5*i - 5*a - 197 = g, 2*a = 0. Is i a prime number? False Let i(h) = 3*h**2 + 7*h. Let r be i(-5). Suppose r = 3*a + 5*o, -4*a = -o + 6 - 67. Is a a prime number? False Suppose 8*l + 5*o - 15 = 3*l, 3*o = 3. Suppose -27 = -j - l*j - 2*n, -n = 0. Is j prime? False Suppose 4*q - 2*f - 4558 = 0, q + q = 5*f + 2267. Is q prime? False Let p(y) = -39*y + 18. Let a(d) = 117*d - 55. Let o(v) = -2*a(v) - 7*p(v). Is o(7) composite? False Suppose 12*g - 9*g - 2007 = 0. Is g a prime number? False Suppose -4*m = -2*m - 10. Suppose -m*a + 6 = -14. Suppose -6*u = -a*u - 14. Is u a composite number? False Let s(h) = -h**3 + 3*h**2 + 5*h - 2. Let l = 7 + -3. Is s(l) a prime number? True Suppose 4*h + 77 - 954 = 5*n, 0 = h + 5*n - 238. Is h prime? True Suppose 0 = -m + 2*h, 3*h = 2*m + 8*h - 9. Is (m - (-1 - -2))*79 a composite number? False Suppose 0 = -4*v - 0*o - 3*o + 221, -o = v - 56. Suppose -r + 2 = -3. Suppose r*z = -3*l + 265, 2*l - 6*l = z - v. Is z a composite number? False Let t = -82 + 126. Let n = 9 + t. Is n a prime number? True Suppose 2*j + l = 922, -5*j + l + 2310 = 6*l. Let r = -231 + j. Let q = -138 + r. Is q composite? True Is (-3 - -131) + -4 + 3 a composite number? False Let k(a) be the first derivative of -a**4/4 - a**3/3 + a**2/2 - 2*a - 1. Is k(-3) a prime number? True Suppose d + 2 = -4. Let g be (-89)/(-3) - (-4)/d. Suppose -5*u + 6 = -g. Is u prime? True Let r(c) = -71*c - 3. Is r(-2) a composite number? False Suppose 0*w + 316 = 2*w. Is w a composite number? True Suppose 0*b + 5489 = 11*b. Is b prime? True Suppose 5*c = c + 12. Suppose -77 - 16 = -c*d. Suppose 6 = m - d. Is m prime? True Suppose l = -l + 354. Is l a composite number? True Let u(y) be the first derivative of 2*y**3/3 + 3*y**2/2 - 5*y - 2. Is u(-4) prime? False Suppose -5*g = 5*t + 125, -5*t = -2*g - 6 - 9. Let r be (-2805)/g - 2/8. Let h = -63 + r. Is h prime? False Let y(c) = c**3 + 4*c**2 - 6*c + 4. Let w be y(-5). Let j be (159/w)/(1/(-3)). Is (j/(-2))/((-1)/(-2)) composite? False Suppose 4*p - 93 - 487 = 0. Is p prime? False Let x be 8 + -7 + -1*7. Is x/(-21) + (-173)/(-7) prime? False Suppose 4*s = x - 799, 10*s - 7*s = 4*x - 3157. Is x prime? True Let c be (-1)/(-3) - 11483/(-3). Suppose 4*m + 4*w - c = 0, -m + 2*w + 949 = -w. Is m a prime number? False Let d be 1/3 + 71/3. Suppose 3*w + 79 = 2*y, y - 2*w - d = 17. Is y prime? False Suppose 4 = 3*r + 1. Is -2*r*3882/(-12) prime? True Let u be -1 + -3*6/(-9). Let h(j) = 12*j - 1. Let i be h(u). Suppose -5*n = -4 - i. Is n composite? False Let g(h) = h + 5. Let v be g(-5). Suppose -5*s = v, 0*y = 4*y + s - 380. Is y a prime number? False Let l = 133 + 44. Is l a composite number? True Let r = 318 + -221. Is r a composite number? False Let t = 1 + 1. Let z(o) = 2*o**3 + o**2 + o + 2. Let x be z(t). Suppose -u + 1 = -l - 17, 2*u + 2*l - x = 0. Is u composite? True Let x be -17 - (-2 - -4) - 0. Let z be (2 - 1)/(1/x). Let v = 7 - z. Is v a prime number? False Let i = 250 + -163. Let l = -57 + i. Let x = 49 - l. Is x a composite number? False Let w(o) be the first derivative of -o**4/4 + 3*o**3 - 3*o**2/2 - 9*o - 1. Suppose -3*v - 2*n + 22 = 0, -35 = -v - 3*v + 3*n. Is w(v) prime? True Let f(n) = -n**3 - 6*n**2 - 8*n - 9. Let u(r) = 3*r + 16. Let b be u(-8). Is f(b) a composite number? True Suppose 0 = b - 106 - 24. Suppose -2*t + 4*t - 3*d - b = 0, -2*t - 5*d + 98 = 0. Is t composite? False Let c be 0 - (-2 + 0/1). Suppose -t = c*t - 30. Let u = 16 + t. Is u prime? False Let u(a) = 3*a - 13. Let k be u(6). Suppose 0 = -k*f + 5*i + 160, -4*i + 5*i + 106 = 3*f. Is f prime? True Suppose 58*w = 54*w + 3772. Is w composite? True Let f(w) = -1. Let s(t) = 15*t + 7. Let y(n) = 6*f(n) + s(n). Is y(2) prime? True Let w(l) = -163*l + 4. Is w(-3) a prime number? False Suppose l = -5*o + 619, l + 2*o - 1805 = -2*l. Let n = 1038 - l. Is n a prime number? True Suppose -z = -2*z + 22. Suppose 0*x = 3*x - 15. Suppose 80 = 5*l - x*w, 15 = 2*l - w - z. Is l prime? False Let r = 3903 - 1678. Suppose 7*c + r = 12*c. Is c a composite number? True Suppose 3*b - 2*v + 5*v = 3186, -2*b - 3*v = -2125. Is b a prime number? True Let p(h) = 28*h + 3. Is p(17) a composite number? False Suppose -25 = y + 3*w, 2*y + 5*w - 134 = 6*y. Let b = y - -64. Is b a composite number? True Suppose -3*r + 3*j - 6*j = -1881, 0 = 2*j - 2. Suppose 2*l + 0*l = 3*w + 1243, l + 3*w = r. Is l a composite number? True Let y(o) = -2*o**3 - o + 5*o**3 + o**3 - 2 + 2*o**2. Let b be y(2). Let l = -13 + b. Is l prime? True Suppose -1 - 18 = -q. Let u = 23 - 32. Let k = u + q. Is k a prime number? False Let w(h) = -51*h**2 - 5*h - 10. Let c(m) = 25*m**2 + 3*m + 5. Let r(b) = 7*c(b) + 3*w(b). Is r(-3) a composite number? True Suppose 4*o = 2*o. Suppose o*h - h = 2*p - 120, 5*h = p - 38. Is p composite? True Let t = 1 + 4. Let a(d) = -2*d + 56. Let r be a(0). Suppose x - t*x = -r. Is x a prime number? False Suppose 0 = 12*k - 449 - 9115. Is k a composite number? False Let d(u) be the third derivative of u**5/30 + 7*u**4/24 - 3*u**2. Is d(-5) a prime number? False Is ((-6)/9)/((-12)/11358) prime? True Let n(q) = q - 15 + 56*q**3 + 31 - 16. Is n(1) prime? False Suppose 0 = -p + 5*p - 808
{ "pile_set_name": "DM Mathematics" }
s Let w = 424/33 + -38/3. Let l = -6 - -8. Let m = l - 1. Which is the second smallest value? (a) 4/5 (b) w (c) m a Let a(n) = n**3 + 15*n**2 - n - 9. Let b be a(-15). Let y be 10/(-8) + (b - 5). What is the third biggest value in -2, -1/7, y? -2 Let z = 23 + -22.6. What is the second biggest value in z, 0, 0.02? 0.02 Let l be (1 + -4)*(-2)/10. Let r be (-1 + 4)*30/18. Let f be (-8)/r + 2 - 0. Which is the second smallest value? (a) -2 (b) l (c) f c Let b = 65.3 - 65. What is the smallest value in 9, b, -1, 3? -1 Let w = -7/11 + 3/22. What is the third biggest value in w, 5, 0.5? w Let x(p) = p**3 - 3*p**2 - p - 1. Let m be x(3). Let i(v) = v**3 + 4*v**2 - 2*v - 4. Let l be i(m). What is the third biggest value in 5, 2/7, l? 2/7 Suppose 6*r - 9*r - 12 = 0. What is the biggest value in 3, -9, r? 3 Let w = 188.0542 + 0.8858. Let g = 187 - w. Let u = g - 0.06. Which is the third smallest value? (a) -4 (b) -3 (c) u c Let k = 3.7 - -1.3. Suppose 3*j - 4 + 13 = 0. Which is the third smallest value? (a) -2 (b) k (c) j b Let o be (-2)/9 - 4236/(-108). Let t be (o/104)/((-6)/(-4)). What is the third biggest value in t, 0.05, 4? 0.05 Let o(y) = y**3 + 12*y**2 - 14*y - 14. Let f be o(-13). Which is the second biggest value? (a) f (b) 0.4 (c) -3 a Let s = 0.3 - 0.5. Let j = -157 + 157.1. Let i = -237/4 - -60. What is the second biggest value in j, s, i? j Let a = 0.016 + 0.484. Let v be (1 + 4)*1/(-19). Let p = 53/57 + v. What is the smallest value in p, -2, a? -2 Let s(z) = -z - 2. Let u be s(-3). Suppose 2*i + u = -3. Suppose -5*k - 3*w - 17 = 0, -12 = -0*w + 3*w. What is the third biggest value in -5, k, i? -5 Let q = 15 - 15.15. Let y = -1.85 + q. What is the second biggest value in -5, 5, y? y Let h = 2581/8 - 323. Which is the smallest value? (a) h (b) 0.3 (c) 0.6 a Suppose -n = g + 1 + 1, -5*g - 3*n = 8. Let d = g - -6. Let i = -19/55 - 3/55. Which is the second smallest value? (a) d (b) i (c) -1/3 c Let i = -269/33 + 25/3. Let a = -12 + 11. Let s = 19/3 + -17/3. What is the third smallest value in a, i, s? s Let n be (-135)/(-636) - 4/16. Which is the biggest value? (a) n (b) -1 (c) -3 a Suppose 3*t - t = -12. Let f = t - -7. Let u = f + 1. What is the second biggest value in 1, u, 1/6? 1 Let x = 2.96 - -0.04. Let j = 5 - 4.9. What is the biggest value in x, -5, j? x Let g be ((-4)/(-6) + -1)*-15. Suppose 0 = 4*t + 3*d - 9, -g*d + d - 4 = 0. Which is the smallest value? (a) 0.4 (b) t (c) 0.1 c Let j = -0.54 - -0.84. Which is the second biggest value? (a) 2/9 (b) -1 (c) -9/7 (d) j a Let l = 87/380 + 2/95. Let n = 2.2 - 2. What is the biggest value in n, l, -4? l Let k be (-1)/(-2) + 1123/14. Suppose -9*n = -168 - 561. Let v = n - k. What is the second biggest value in -4, v, -0.3? -0.3 Let t = -16 + 19. Let w be ((-3)/(-5))/(9/6). Which is the smallest value? (a) w (b) t (c) 0.3 c Let y = 547/5 + -110. What is the third biggest value in 0, y, 11? y Let x(w) = -w**3 - 8*w**2 + 9*w. Let v be x(-9). What is the biggest value in 2, v, 1.7? 2 Let t = -6158/19 - -324. Let k = 3 - 0. Which is the biggest value? (a) -1/2 (b) t (c) k c Let u = -117 - -1055/9. Which is the smallest value? (a) 0 (b) u (c) -1/2 c Suppose 5*x - 8 = 2. Suppose -x*h - 4 = -0. What is the third smallest value in -1, -0.05, h? -0.05 Let z = 4.6 - 5. What is the biggest value in z, 4, 5? 5 Let t = 11 - 58/5. Which is the second biggest value? (a) t (b) -2/7 (c) 3 b Let u = 67/85 - 10/17. Which is the second smallest value? (a) -9 (b) u (c) 0 c Let g = -27.8 - -28. Let r = 4 - 4.4. Which is the third biggest value? (a) 2 (b) r (c) g b Let g = -8 - -4.5. Let r = -4 - g. Which is the smallest value? (a) 0 (b) 1 (c) r c Let l = 545/6 + -349/3. Let s = l + 26. Let d be 6/9 - (-7)/12. Which is the third smallest value? (a) d (b) 3 (c) s b Let x be (75/9 - 7)*(-6)/76. Let p = 2.7 + 1.9. Let s = p - 5. Which is the third smallest value? (a) x (b) s (c) 0.2 c Let o be (1 + 0)/(60/51). Let q = o + -3/4. Let r = -133/715 - 2/143. Which is the second smallest value? (a) q (b) -2 (c) r c Let k = 0.04 + 0.26. Let n = 3.48 - 0.08. Let v = n + 0.6. Which is the smallest value? (a) v (b) -1/2 (c) k b Let w(x) = 2*x - 3. Let d(i) = -i + 2. Let h(b) = 7*d(b) + 4*w(b). Let k be h(-2). What is the third biggest value in 0.1, k, -0.1? -0.1 Suppose -2*m = 4*u + 62, 60 = -3*u - m + 11. Let i be 35/u - 3/(-2). Which is the biggest value? (a) 0.2 (b) i (c) 2/13 a Let w = 0.2 + -0.3. Let h = -10 + 14. Which is the second biggest value? (a) w (b) -5/4 (c) h a Let f be -2 - 0 - (-118)/54. Let j = f - -29/135. Let d = 8.1 - 8. Which is the third smallest value? (a) d (b) j (c) 5 c Let j = -1664 + 54908/33. Let v = 112/165 - j. What is the smallest value in 3/5, v, 2? 3/5 Let g = -0.17 - 0.83. Let u = -71/3 - -133/6. What is the smallest value in 5, u, g? u Let k = -17 + 11.5. Let r = 6.64 + -0.64. Let f = k + r. What is the smallest value in 2/13, f, -0.4? -0.4 Let b = 4.2 - 4. Let z = -144376/45695 + 4/2405. Let v = z - -578/171. What is the smallest value in v, 0, b? 0 Let q = 42 + -41.8. Let m = 0.3 - 0.2. What is the biggest value in q, m, 0.5? 0.5 Suppose 4*b - 275126 = -2*v, 2*v + b = 3*b + 275156. Let t = 16233441/118 - v. Let g = 2/59 - t. What is the smallest value in g, 5, -0.1? -0.1 Let j be (-2)/3*10/30. Let f = 6 - 8. Which is the third biggest value? (a) f (b) -2/7 (c) j a Let i = 7 - -9. Suppose -2*y - i = -6*y. Suppose -6 = -y*d + 6*d. Which is the smallest value? (a) d (b) 5 (c) 1 a Suppose 2*m - 20 = 7*m. Let i = 12 + -12. Suppose i = 2*g, 5*g - g = 4*y. Which is the smallest value? (a) y (b) 4 (c) m c Let x be ((-4)/3)/(1/(-3)). Let o = 20 + -20.4. Let m = -0.1 + 0.1. Which is the third biggest value? (a) m (b) o (c) x b Suppose -6 = -o - o. What is the third smallest value in -0.1, o, -1? o Let n be ((-12)/(-5))/((-9)/(-10)). Which is the third biggest value? (a) 5 (b) n (c) -0.3 c Suppose 4*i - 1 - 11 = 0. Suppose -i*s + 4*s = -70. Let d be 1/5 - (-44)/s. Which is the smallest value? (a) -0.1 (b) d (c) -2/5 b Let f be 72/126 + (-10)/(-7). Which is the smallest value? (a) 1.1 (b) f (c) -3/7 c Let l = -0.66 - -0.29. Let h = -0.1 + 0.17. Let i = h + l. What is the third biggest value in i, 1, -2/19? i Let w = 0.01 + 0.19. Which is the third smallest value? (a) -1 (b) w (c) 5 c Let s = 1/288 - -7/32. What is the third biggest value in s, 2/3, -18/11? -18/11 Let r = 451 + -451.1. Let x(k) = -7*k. Let l be x(-2). Suppose 5*g = -l - 11. What is the biggest value in g, r, 0? 0 Let r = -4.927 + -0.073. Which is the third smallest value? (a) -1/3 (b) 3 (c) r b Suppose -24 = 3*m + 4*q - 9*q, -2*q + 6 = 0. Which is the third biggest value? (a) -5 (b) m (c) -4 (d) 5 c Suppose -3*z - z = 5*h + 8, 3*z + 5*h = -11. Let o = -0.1 - 2.9. What is the second biggest value in z, 0.1, o? 0.1 Let o = 15.1 - 15. Which is the third smallest value? (a) 1 (b) o (c) -8 a Let y = -3 + 3.1. Let p = 4 - 6. Suppose -2 + 11 = -3*o. Which is the smallest value? (a) p (b) y (c) o c Suppose 8*k - 4*k = 12. Suppose -16 = -k*d - 4. Let u be ((-5)/70)/(2/d). Which is the third biggest value? (a) -3 (b) u (c) 5 a Let k = 1.8 + 0.2. Let r = k - 5. Let f = -1.756 + -0.244. Which is the smallest value? (a) 4/9 (b) r (c) f b Let y = -19 + 10. Let g be (-1)/(-2)*6/y. Which is the second biggest value? (a) -5/2 (b) g (c) 4 b Let f = 75/88 + -8/11. What is the second smallest value in -1/3, f, 1/5? f Let g = -0.9 - -0.6. Which is the third smallest value? (a) g (b) -6 (c) 0.4 c Suppose -5*d - 208 = 302. Let l = -25337637/248104 + 2/31013. Let m = d - l. What is the third biggest value in m, 3/7, -3? -3 Let h = 3 - -7. Let n be ((-4)/(-10))/((-2)/h). Let t be n - ((-168)/26)/3. What is the smallest value in t, 0.3, 0.4? t Let z = -200 - -177.8. Let i = -22 - z. Which is the second smallest value? (a) i (b) -0.5 (c) 0 c Suppose -1 = -3*k + 2*g, 2*k - 12*g + 8*g = -10. Let y = -0.3 - 0.7. What is the second biggest value in y, 5/2, k? 5/2 Let t = -0.18 - -0.25. Let w = 0.08 - t. Let j = w + 0.19. What is the biggest value in -5, 0.1, j? j Let o be 1/(-1 - -2 - 0). Let t = o + -1. Suppose 2*i - 5*s - 1 + 16 = t, 4
{ "pile_set_name": "DM Mathematics" }
288))))**2. 65536/13 Simplify ((2 + sqrt(637) + -2 + sqrt(637) + sqrt(637))*-5*-6 + (0 + 1*-1*sqrt(637))*6)**2*-1. -4494672 Simplify (4 + (-5*sqrt(112)*3 + 0 + sqrt(112)*2*1 + 5 + -2)*-5)**2. -5720*sqrt(7) + 473321 Simplify -1*-6*((sqrt(108)*-2)**2*-1 - (1 + sqrt(3)*-4*5))*5. -12990 + 600*sqrt(3) Simplify 1*2*(-1 + -5*sqrt(50)*2*-2)**2*-6. -240012 + 2400*sqrt(2) Simplify ((0 + sqrt(450)*2 - sqrt(450)) + sqrt(450)*1*-3 - (5 + 4*-3*sqrt(450)))**2. -1500*sqrt(2) + 45025 Simplify (((sqrt(228) - sqrt(228)*1*2) + (sqrt(228)*-2 + sqrt(228) - sqrt(228))*3)/((sqrt(12) - (sqrt(12) - sqrt(300))*-2)*5))**2. 19/25 Simplify -1*(0 + (sqrt(88) + 3*-2*sqrt(88))/(sqrt(72)*-1))*5. -25*sqrt(11)/3 Simplify ((-2*sqrt(252)*5)/(sqrt(300)*1 + sqrt(300)))/((sqrt(297)/(sqrt(11)*-2 - sqrt(11)))/sqrt(9)*-2). -3*sqrt(7)/2 Simplify (((sqrt(14) - sqrt(504)*2) + sqrt(14) - 1*(sqrt(14) + sqrt(686)))/((sqrt(32)/((sqrt(2) + (sqrt(2)*5 - sqrt(2)) - sqrt(2)) + sqrt(2)))/sqrt(8)*1))**2. 56700 Simplify 4 + ((sqrt(4719)*-1 - sqrt(4719)) + sqrt(4719) + 3*sqrt(39)*-2)/(sqrt(108) + sqrt(108)*1 - (sqrt(3) - sqrt(30)/sqrt(40))). -34*sqrt(13)/23 + 4 Simplify ((2*(sqrt(102) - (sqrt(102) + (2*sqrt(102)*4 - sqrt(102)))))/((sqrt(480) + sqrt(30))/sqrt(5) + sqrt(6)*-2*-6))**2. 196/17 Simplify 2 + (4*2*(sqrt(52) + sqrt(104)/sqrt(2))*1)/(((sqrt(440)*1)/sqrt(10))/((-1*sqrt(121))/sqrt(11))). -16*sqrt(13) + 2 Simplify (((sqrt(228) - sqrt(228)*4) + sqrt(228))*-4*6*-4)/(sqrt(96)/(sqrt(800)*2)*-2). 1920*sqrt(19) Simplify ((-3 + (5*-6*-2*sqrt(68) - (-5 + -1*sqrt(68) + sqrt(68) - (sqrt(68) + 2*sqrt(68)*-6))))*6 + -4)**2. 9408*sqrt(17) + 5877712 Simplify (3 + ((((sqrt(110) + -3*sqrt(110) - sqrt(110))*-3)/sqrt(10) + 0)*3*1)**2 + -4)*-5. -40090 Simplify ((sqrt(160)*-3)/((sqrt(60)/sqrt(6))/sqrt(5)))**2 + (-5 + -4*sqrt(320) + sqrt(320) - -6*(sqrt(320) + -1))**2. -528*sqrt(5) + 3721 Simplify ((-2*-2*sqrt(364)*1*-2)/((sqrt(84)/(1*sqrt(3)))/(sqrt(16)/(-2*sqrt(4)))))**2. 832 Simplify (sqrt(84) + (sqrt(84) + (sqrt(84) - -3*sqrt(84)))*-6 - 2*((sqrt(84)*-2 - sqrt(84) - sqrt(84)) + sqrt(84)))/((1*sqrt(432))/(2*1*sqrt(4))). -46*sqrt(7)/3 Simplify -1 + ((5*(sqrt(475) + 0) + (sqrt(475)*-2*2 - sqrt(475)))*3 - -6*(-5 + 3 + -1 + sqrt(475)))**2. -1080*sqrt(19) + 17423 Simplify (1*-1*(sqrt(242)*-1*-6 + 0 + sqrt(242)*-2) + 3)*-1 + 1. -2 + 44*sqrt(2) Simplify (5*((sqrt(204) + sqrt(204)*1 + sqrt(204))*-3 - (-3*(sqrt(204) + sqrt(204)*2) + sqrt(204))))/(1*sqrt(432)*3*5) + 1. -sqrt(17)/18 + 1 Simplify (4 + 2*6*(1*(sqrt(98) + 2*sqrt(98)) + sqrt(98)) + ((sqrt(98) - (1 + sqrt(98)))*-6 - (sqrt(98) + 2*sqrt(98) + -2)))**2. 7560*sqrt(2) + 198594 Simplify -5*(5*(sqrt(32) + 0)**2 - (2 + sqrt(6)/sqrt(3) + 3) - ((1*sqrt(288)*2)/(sqrt(81) - sqrt(81)*2))**2). -6335/9 + 5*sqrt(2) Simplify 1*(((sqrt(2176) + sqrt(2176)*-2)*6 - sqrt(2176)) + sqrt(2176))/(5*sqrt(200)/sqrt(4)). -48*sqrt(17)/25 Simplify -3*((-3 + (4 + sqrt(75)*1 - sqrt(75) - (3 + sqrt(75) + sqrt(75)*-2)) + -4 + 3)*-2)**2. -1008 + 360*sqrt(3) Simplify (-5*3*sqrt(243))/(sqrt(576)*-6*-4). -15*sqrt(3)/64 Simplify 3*(2 + 3 + -1*(sqrt(2448) + 3))**2*-6. -44136 + 864*sqrt(17) Simplify -1 + (-5*sqrt(12)*6 + 3 + sqrt(192) + sqrt(192))*2. -88*sqrt(3) + 5 Simplify (-4 + (1 + 1 + sqrt(112) - sqrt(112)) + 4)**2*6*-3. -72 Simplify 1 + sqrt(11)*-3 + -4 + (sqrt(11) + sqrt(176)*-1 + sqrt(176) - sqrt(11))**2 - (2*3*sqrt(66))/(sqrt(48)/sqrt(32)). -15*sqrt(11) - 3 Simplify 0 + 2*((-5*(sqrt(1088) - (sqrt(1088) + -2)))**2 + sqrt(1088) + (-2*(1*sqrt(1088) + sqrt(1088)) - sqrt(1088))) + 5 + -1. -64*sqrt(17) + 204 Simplify (3*sqrt(273)/sqrt(7) + (sqrt(468) - 1*sqrt(468))/sqrt(12))/(sqrt(300)*4 + (sqrt(3) + sqrt(300)*6 - sqrt(3) - sqrt(3))). sqrt(13)/33 Simplify (-5 + ((5 + sqrt(153) + 5 - sqrt(153)) + -2 + (sqrt(153) - (sqrt(153) + 5)))*-3)**2. 196 Simplify (sqrt(91) + (-1*sqrt(91) + sqrt(91))*5)/(2*sqrt(35)/sqrt(5)) + sqrt(13)*3*2 + sqrt(39)/(sqrt(3)*3). 41*sqrt(13)/6 Simplify -4*(((sqrt(80) - 1*sqrt(80))*-6 + 2)**2 - -6*(sqrt(45)/(sqrt(9) - sqrt(81)) - -3*(-1 + sqrt(5)))). -60*sqrt(5) + 56 Simplify (sqrt(425)*4 + (sqrt(170) + (1*sqrt(170) - sqrt(170) - sqrt(170)))/sqrt(10) + -2*sqrt(17)*3 + (-1 + sqrt(1088) - sqrt(17)) + -1)**2. -84*sqrt(17) + 7501 Simplify -6*(sqrt(832) - (sqrt(832) - (sqrt(832) + 0)**2)*-3)*5 + ((sqrt(832) - (-6*(1 + sqrt(832) - sqrt(832)) - sqrt(832))) + 1 + 2*sqrt(832))**2 + -4. -512*sqrt(13) + 88237 Simplify (4 + -3 + sqrt(2057)*2*3 - ((sqrt(2057) - -3*(sqrt(2057) + sqrt(2057)*1 - sqrt(2057)) - sqrt(2057)) + sqrt(2057)*2*2 + -2))**2. -66*sqrt(17) + 2066 Simplify (sqrt(2541) - (sqrt(2541) - sqrt(2541)*-3) - (sqrt(525) + sqrt(525)*4))/(sqrt(1323)/sqrt(9) + sqrt(3) - sqrt(30)/(sqrt(10)*3 - sqrt(10))). -116*sqrt(7)/15 Simplify -5*((5*sqrt(245)*-1 + sqrt(245) + -1 + 0)**2 - (sqrt(245) + -1 + (sqrt(245)*1 - sqrt(245)) - (sqrt(245) + 0 + -1*sqrt(245))))*-3. 735*sqrt(5) + 58830 Simplify 2*(-2 + 3 + sqrt(15)/sqrt(5) - (sqrt(48)*-3 - (sqrt(21) + sqrt(42)/sqrt(2))/sqrt(7)))*-4*-6*1. 48 + 720*sqrt(3) Simplify (-4 + 4*((sqrt(1216) + 2*sqrt(1216) + -5 - (0 + sqrt(1216))*6) + 1*(2 + sqrt(1216)) + -2)*-4)**2. 38912*sqrt(19) + 1250960 Simplify ((-4 + -2 + (5*(-2 + sqrt(704)) - sqrt(704) - (sqrt(704) + -2)*5))*4)**2. 1536*sqrt(11) + 11840 Simplify (-1*(sqrt(152) - 4*(-1*sqrt(152) - sqrt(152)))*3)/(-1*(sqrt(1152) - (sqrt(1152)*-2 - sqrt(1152))) - 1*-1*sqrt(1152)). 3*sqrt(19)/4 Simplify ((sqrt(216) - sqrt(216)*3 - sqrt(216))*1 + sqrt(216))/(sqrt(3)*-2*3 + 2*sqrt(108) + sqrt(3))*-6. 72*sqrt(2)/7 Simplify (5*2*(2*sqrt(1024)*2)/(5*-4*sqrt(200)))**2. 512/25 Simplify (((sqrt(104)*-2 - sqrt(104))*-6)/(sqrt(400) - (sqrt(400) + 1*sqrt(400) + sqrt(400) + sqrt(400) - sqrt(400))))/(-5*(sqrt(648)*-1 + sqrt(8))). -9*sqrt(13)/800 Simplify 2*((sqrt(1728)*-2)**2*-4 + (5*(0 + sqrt(1728)))**2 - sqrt(189)/(sqrt(7) + (3*sqrt(70))/sqrt(10))*-3). 9*sqrt(3)/2 + 31104 Simplify -2*(4 + (-2*2*sqrt(2)*5 - sqrt(10)/(sqrt(5) + sqrt(60)/sqrt(3))) + 5). -18 + 122*sqrt(2)/3 Simplify (sqrt(130)*2*-3 + sqrt(130) - (sqrt(130) + -5*sqrt(130)*2))/(6*sqrt(20)/(sqrt(100)/sqrt(2) + sqrt(50))). 20*sqrt(13)/3 Simplify 1*(0 + sqrt(1584) + -2*(1 + sqrt(1584)) + (-1*sqrt(176) - (-3 + sqrt(22)/sqrt(2)))*5)**2. -962*sqrt(11) + 15228 Simplify (sqrt(16)/(2*sqrt(8)) + sqrt(24)/(sqrt(36)/sqrt(3)) - 2*sqrt(72)*6*2)**2. 81225/2 Simplify -1*((sqrt(15)/(sqrt(9)/sqrt(3)) + (2*sqrt(5) + sqrt(5))*-3)**2 + (-2*(sqrt(480) - sqrt(30)))/(4*sqrt(6)*-2)). -320 - 3*sqrt(5)/4 Simplify (3 + ((sqrt(72)/sqrt(6))/sqrt(4) - (-5 + 4*sqrt(3) + sqrt(3))) + sqrt(243) + (1 + sqrt(243))*6 + 0)**2. 1652*sqrt(3) + 10639 Simplify (sqrt(56)/sqrt(112) - sqrt(8))/(sqrt(48)/sqrt(48)) - (-3 + (-2 + (sqrt(2) - (2 + sqrt(2))**2) + sqrt(2) - sqrt(2) - (sqrt(2) - (-4 + sqrt(8))))). sqrt(2)/2 + 15 Simplify ((-4*1*sqrt(75))/(sqrt(5) + (sqrt(40)/(sqrt(72) - sqrt(8)) - sqrt(5))))/(-6*(sqrt(432)*-2 - sqrt(3))*-4). sqrt(5)/75 Simplify (-4*6*(0 + -2 + (0 + sqrt(288) - sqrt(288)) - (3 + -5 + (1 + sqrt(288) - sqrt(288) - sqrt(288)))))**2. -13824*sqrt(2) + 166464 Simplify (4*(sqrt(136) - -4*sqrt(136)) - (sqrt(136) - -4*sqrt(136) - sqrt(136))*5)/((sqrt(72)*1*-2 - sqrt(72))*1). 0 Simplify (5*(-4*-1*sqrt(425) + sqrt(425) + sqrt(425) + (sqrt(425) + 1)*1 + 3 + 4))**2*-1. -522225 - 14000*sqrt(17) Simplify (sqrt(132)*-1)/sqrt(12)*-6*3 - (-6*(sqrt(1584) + 4*(1*sqrt(1584) + sqrt(1584))))**2. -4618944 + 18*sqrt(11) Simplify (sqrt(240) + 4*(sqrt(240)*6 - sqrt(240)))/(sqrt(320)*2 - sqrt(360)/sqrt(2)). 42*sqrt(3)/5 Simplify (((sqrt(208) + 3*sqrt(208))*-2*-3)**2 - ((2*(sqrt(208) + -1))**2 + (sqrt(208) + 0)**2 + -2))*5. 160*sqrt(13) + 593830 Simplify (6*-4*(sqrt(68) + 6*(sqrt(68)*1 + sqrt(68) + sqrt(68))))/((sqrt(320)/(1*sqrt(8) + sqrt(8)))/(sqrt(10) + -2*sqrt(640) + sqrt(10))). 12768*sqrt(17) Simplify (2 + 1*(1 + sqrt(272)) + -1 + -2 + -5*(1 + sqrt(1700)) + sqrt(1700) + -1 + sqrt(1700) + -2)**2. 416*sqrt(17) + 11556 Simplify (sqrt(272) + 5*(sqrt(272) + 4) - (sqrt(51) - (sqrt(6171) + 1*sqrt(6171)))/sqrt(3))*-4. -180*sqrt(17) - 80 Simplify -1 + (sqrt(104) + sqrt(104) + 5*-1*sqrt(104) + sqrt(104) + sqrt(104) + ((1*sqrt(104) - sqrt(104))*-5 - sqrt(104)))/((sqrt(72)*5)/sqrt(9)*2). -1 - sqrt(13)/5 Simplify 5 + 4*(5 + -1*(((-2 + sqrt(272))*-2)**2 - (sqrt(272) - (2 + 0 + sqrt(272))))). -4399 + 256*sqrt(17) Simplify 1
{ "pile_set_name": "DM Mathematics" }
ter 9:51 PM? 5:56 AM What is 559 minutes before 10:01 PM? 12:42 PM How many minutes are there between 4:10 AM and 1:58 PM? 588 What is 517 minutes after 12:30 PM? 9:07 PM What is 97 minutes after 2:55 AM? 4:32 AM What is 130 minutes before 3:40 AM? 1:30 AM What is 167 minutes before 6:58 PM? 4:11 PM How many minutes are there between 1:21 AM and 1:40 AM? 19 What is 44 minutes before 12:26 PM? 11:42 AM What is 236 minutes before 6:04 AM? 2:08 AM What is 376 minutes before 4:29 AM? 10:13 PM How many minutes are there between 6:12 PM and 2:13 AM? 481 How many minutes are there between 3:32 PM and 4:48 PM? 76 What is 279 minutes before 6:59 AM? 2:20 AM How many minutes are there between 4:42 PM and 8:39 PM? 237 What is 669 minutes before 11:42 PM? 12:33 PM How many minutes are there between 10:29 AM and 9:05 PM? 636 How many minutes are there between 2:00 AM and 5:31 AM? 211 How many minutes are there between 9:01 AM and 4:38 PM? 457 How many minutes are there between 1:21 AM and 9:14 AM? 473 How many minutes are there between 11:55 PM and 5:04 AM? 309 How many minutes are there between 4:34 AM and 8:11 AM? 217 What is 49 minutes before 1:39 PM? 12:50 PM What is 223 minutes after 11:00 PM? 2:43 AM What is 595 minutes after 8:35 AM? 6:30 PM What is 418 minutes after 6:00 AM? 12:58 PM What is 270 minutes before 10:24 AM? 5:54 AM How many minutes are there between 11:49 PM and 7:28 AM? 459 How many minutes are there between 12:53 AM and 10:40 AM? 587 What is 376 minutes before 1:20 AM? 7:04 PM How many minutes are there between 3:08 AM and 3:52 AM? 44 What is 568 minutes before 12:10 PM? 2:42 AM What is 295 minutes after 6:22 PM? 11:17 PM How many minutes are there between 4:00 AM and 3:29 PM? 689 What is 121 minutes after 12:47 AM? 2:48 AM What is 421 minutes before 10:59 PM? 3:58 PM What is 596 minutes after 2:24 PM? 12:20 AM What is 10 minutes after 12:40 AM? 12:50 AM What is 191 minutes after 5:27 PM? 8:38 PM How many minutes are there between 1:11 AM and 7:37 AM? 386 What is 690 minutes before 2:38 PM? 3:08 AM How many minutes are there between 5:10 PM and 3:01 AM? 591 How many minutes are there between 12:36 AM and 10:32 AM? 596 How many minutes are there between 3:33 AM and 4:22 AM? 49 How many minutes are there between 1:04 AM and 4:09 AM? 185 How many minutes are there between 11:17 AM and 7:25 PM? 488 What is 320 minutes after 12:32 PM? 5:52 PM What is 286 minutes before 11:27 AM? 6:41 AM What is 149 minutes before 8:57 PM? 6:28 PM What is 92 minutes after 5:42 AM? 7:14 AM How many minutes are there between 2:13 AM and 6:39 AM? 266 How many minutes are there between 6:43 AM and 8:33 AM? 110 How many minutes are there between 9:24 PM and 9:01 AM? 697 How many minutes are there between 2:05 AM and 7:27 AM? 322 What is 687 minutes before 7:39 PM? 8:12 AM What is 195 minutes before 1:50 PM? 10:35 AM How many minutes are there between 12:21 PM and 7:46 PM? 445 What is 496 minutes before 2:04 PM? 5:48 AM What is 687 minutes before 1:26 AM? 1:59 PM What is 265 minutes after 3:37 PM? 8:02 PM How many minutes are there between 6:00 PM and 3:32 AM? 572 What is 708 minutes before 4:59 PM? 5:11 AM How many minutes are there between 1:56 PM and 3:37 PM? 101 How many minutes are there between 5:07 AM and 10:49 AM? 342 What is 605 minutes before 3:11 AM? 5:06 PM What is 48 minutes after 7:18 PM? 8:06 PM What is 277 minutes after 1:40 PM? 6:17 PM What is 235 minutes before 5:34 PM? 1:39 PM What is 525 minutes before 5:57 AM? 9:12 PM What is 19 minutes after 6:31 AM? 6:50 AM How many minutes are there between 2:27 PM and 9:21 PM? 414 How many minutes are there between 5:01 AM and 1:46 PM? 525 What is 457 minutes after 11:55 AM? 7:32 PM What is 387 minutes before 12:22 AM? 5:55 PM What is 681 minutes before 12:24 PM? 1:03 AM What is 91 minutes before 2:38 AM? 1:07 AM What is 585 minutes before 3:56 PM? 6:11 AM How many minutes are there between 8:17 AM and 3:51 PM? 454 What is 292 minutes after 7:09 AM? 12:01 PM How many minutes are there between 7:10 AM and 11:34 AM? 264 How many minutes are there between 9:46 AM and 7:04 PM? 558 What is 98 minutes after 9:52 PM? 11:30 PM What is 115 minutes after 12:05 AM? 2:00 AM How many minutes are there between 4:26 PM and 3:27 AM? 661 What is 553 minutes after 5:41 AM? 2:54 PM How many minutes are there between 8:54 PM and 8:33 AM? 699 How many minutes are there between 6:04 AM and 2:54 PM? 530 What is 559 minutes after 5:49 AM? 3:08 PM What is 44 minutes before 10:56 AM? 10:12 AM What is 669 minutes before 6:49 PM? 7:40 AM How many minutes are there between 9:22 AM and 9:55 AM? 33 What is 353 minutes before 5:42 PM? 11:49 AM How many minutes are there between 12:23 AM and 6:18 AM? 355 How many minutes are there between 3:37 AM and 8:35 AM? 298 What is 195 minutes before 5:09 AM? 1:54 AM How many minutes are there between 11:35 AM and 9:58 PM? 623 How many minutes are there between 10:02 AM and 12:41 PM? 159 How many minutes are there between 10:50 AM and 3:45 PM? 295 How many minutes are there between 5:29 PM and 4:00 AM? 631 What is 265 minutes after 9:16 AM? 1:41 PM What is 556 minutes before 1:21 AM? 4:05 PM What is 481 minutes before 8:08 PM? 12:07 PM How many minutes are there between 3:05 AM and 2:51 PM? 706 What is 446 minutes after 7:07 PM? 2:33 AM What is 444 minutes before 6:57 AM? 11:33 PM What is 136 minutes before 9:46 AM? 7:30 AM What is 223 minutes after 11:09 AM? 2:52 PM What is 50 minutes before 8:24 PM? 7:34 PM How many minutes are there between 4:38 AM and 5:32 AM? 54 How many minutes are there between 10:27 AM and 9:39 PM? 672 How many minutes are there between 10:51 PM and 4:12 AM? 321 How many minutes are there between 4:12 AM and 8:23 AM? 251 How many minutes are there between 3:29 PM and 1:21 AM? 592 What is 597 minutes before 10:04 AM? 12:07 AM How many minutes are there between 7:32 AM and 10:47 AM? 195 How many minutes are there between 7:36 PM and 4:28 AM? 532 How many minutes are there between 11:30 AM and 11:15 PM? 705 What is 11 minutes after 11:48 AM? 11:59 AM How many minutes are there between 7:33 AM and 6:36 PM? 663 How many minutes are there between 12:26 PM and 2:38 PM? 132 What is 270 minutes after 3:14 AM? 7:44 AM How many minutes are there between 9:58 AM and 8:45 PM? 647 What is 71 minutes after 7:49 PM? 9:00 PM What is 597 minutes after 7:21 PM? 5:18 AM How many minutes are there between 2:19 AM and 12:05 PM? 586 How many minutes are there between 2:47 AM and 8:00 AM? 313 How many minutes are there between 2:01 PM and 5:23 PM? 202 What is 309 minutes after 9:13 PM? 2:22 AM How many minutes are there between 6:24 PM and 11:10 PM? 286 What is 14 minutes before 4:13 AM? 3:59 AM What is 607 minutes before 5:55 PM? 7:48 AM How many minutes are there between 5:40 PM and 5:09 AM? 689 How many minutes are there between 7:44 AM and 4:50 PM? 546 What is 337 minutes before 9:41 AM? 4:04 AM How many minutes are there between 6:05 AM and 6:17 AM? 12 How many minutes are there between 4:00 PM and 10:38 PM? 398 What is 481 minutes after 6:48 PM? 2:49 AM How many minutes are there between 8:46 AM and 4:36 PM? 470 How many minutes are there between 4:55 AM and 10:55 AM? 360 How many minutes are there between 1:32 PM and 5:23 PM? 231 What is 610 minutes before 11:39 AM? 1:29 AM What is 296 minutes after 7:39 PM? 12:35 AM What is 191 minutes before 5:10 AM? 1:59 AM What is 194 minutes after 5:30 PM? 8:44 PM What is 367 minutes after 5:40 PM? 11:47 PM What is 318 minutes before 7:48 PM? 2:30 PM What is 466 minutes before 9:56 AM? 2:10 AM What is 252 minutes before 9:32 PM? 5:20 PM How many minutes are there between 9:43 PM and 5:48 AM? 485 How many minutes are there between 10:50 AM and 10:15 PM? 685 What is 355 minutes after 6:58 AM? 12:53 PM How many minutes are there between 4:22 AM and 1:55 PM? 573 How many minutes are there between 10:43 PM and 3:07 AM? 264 What is 463 minutes before 4:04 PM? 8:21 AM What is 2 minutes before 5:27 PM? 5:25 PM How many minutes are there between 5:30 AM and 1:35 PM? 485 How many minutes are there between 10:51 AM and 5:22 PM? 391 How many minutes are there between 2:20 AM and 12:48 PM? 628 How many minutes are there between 10:03 PM and 5:49 AM? 466 How m
{ "pile_set_name": "DM Mathematics" }
hat is the second derivative of u(z) wrt z? 180*z Let a(j) = -33*j**5 - 6*j**3 - 49*j**2. Let m(z) = 34*z**5 + 4*z**3 + 48*z**2. Let r(f) = 2*a(f) + 3*m(f). What is the third derivative of r(n) wrt n? 2160*n**2 Let y = 11 - 6. Let b be (0 - y)*(-8)/10. What is the derivative of -3 + 2*l**2 - b + 5 wrt l? 4*l Let z(t) = 2*t**4 + t**3 - 6*t**2 + 6*t + 1. Let y(j) = -j**4 - j**3 - j**2 + j + 2. Let l(u) = -y(u) - z(u). What is the second derivative of l(g) wrt g? -12*g**2 + 14 Let s(a) be the second derivative of -32*a**6/15 + a**4/4 + 3*a + 2. What is the third derivative of s(h) wrt h? -1536*h What is the second derivative of -n**3 + 4*n + 10*n**5 - 35 + 26*n**5 + 39 - 2*n**3 wrt n? 720*n**3 - 18*n What is the third derivative of 40*c**2 + 23*c**2 - 189*c**5 + 12*c**2 + 97*c**2 + 83*c**2 wrt c? -11340*c**2 Let h(c) be the second derivative of 0*c**3 - 12*c + 13/20*c**5 + 0*c**2 + 5/12*c**4 + 0. Find the third derivative of h(z) wrt z. 78 Let y(p) be the third derivative of -11*p**8/28 - p**5/10 + p**3/6 - 2*p**2 + 20. Find the third derivative of y(o) wrt o. -7920*o**2 Let y(i) be the second derivative of 247*i**3/6 + 60*i**2 - 43*i. What is the first derivative of y(c) wrt c? 247 Let k(r) be the first derivative of 158*r**3/3 - 120*r + 178. Differentiate k(z) wrt z. 316*z Let l(j) be the first derivative of -31*j**5/20 - 25*j**2 + 15*j + 46. Let q(f) be the first derivative of l(f). What is the first derivative of q(k) wrt k? -93*k**2 Let v(w) = -720*w - 1430. Let i(d) = 60*d + 119. Let k(t) = -25*i(t) - 2*v(t). Find the first derivative of k(m) wrt m. -60 Let v be (78/(-195))/((-2)/115). Differentiate -v*d + 21 - 23*d - 5 + 1 with respect to d. -46 Let t(b) be the second derivative of -5*b + 22/15*b**6 + 0 + 0*b**3 + 0*b**5 + 2*b**2 + 0*b**4. Differentiate t(f) with respect to f. 176*f**3 Let t(l) be the first derivative of 148*l**3/3 - 75*l - 147. What is the derivative of t(o) wrt o? 296*o Let f(s) = 2*s. Suppose 0 = -8*l - 6 + 22. Let t be f(l). What is the derivative of 0 - t*d**4 - 10 + 2*d**4 wrt d? -8*d**3 Let z(h) = -6*h - 2. Let i(u) = 5*u + 1. Let g = 58 + -53. Let s(k) = g*z(k) + 4*i(k). Differentiate s(x) wrt x. -10 Let y = -106 + 111. Let u(m) be the third derivative of -3*m**2 + 1/6*m**3 + 1/20*m**y + 0 + 0*m**4 + 0*m. Find the first derivative of u(b) wrt b. 6*b Let c(p) = 102*p**4 + 5*p**3 - 5*p - 172. Let m(l) = 51*l**4 + 2*l**3 - 2*l - 86. Let t(z) = 2*c(z) - 5*m(z). What is the first derivative of t(g) wrt g? -204*g**3 Find the second derivative of -51*o**4 - 3*o + 8*o**4 + 1 - 10*o**4 + o wrt o. -636*o**2 Find the third derivative of -23*x**3 + 71 - 9*x**3 - 71 - 98*x**2 wrt x. -192 Suppose 2*p - 16 = -6. Suppose -4*k = -16, 4*x - 3*k - 3 = p. Find the second derivative of 12 - 5 - o - 7 + 2*o**x wrt o. 40*o**3 Let k(w) be the second derivative of -5/12*w**4 + 0 + 1/5*w**5 + 0*w**2 + 0*w**3 - w. Find the third derivative of k(u) wrt u. 24 Let g(h) = 2*h - 7. Let j be g(8). What is the first derivative of 9 - j*t - 9*t + 7*t wrt t? -11 Let z be ((-5)/(-3))/((-3)/(-9)). What is the second derivative of 9*j**5 - 3*j**z + 0*j + j wrt j? 120*j**3 Let t(u) be the first derivative of 220*u**7/7 + 55*u**3 - 366. What is the third derivative of t(d) wrt d? 26400*d**3 Suppose 5*v = -412 + 432. Let i(d) = -d**2 + 2. Let m be i(0). Find the second derivative of 5*g**4 + 10*g - m*g + 8*g**v wrt g. 156*g**2 Let s(f) be the first derivative of -f**6/5 - 2*f**5/15 - 29*f**2/2 - 7. Let b(t) be the second derivative of s(t). Find the third derivative of b(a) wrt a. -144 What is the second derivative of 52*z**3 + 44*z**4 - 17*z**4 + 621*z - 50*z**3 wrt z? 324*z**2 + 12*z Let z(x) = 210*x**2 - 244*x - 2. Let y(f) = -419*f**2 + 488*f + 5. Let l(t) = -2*y(t) - 5*z(t). What is the second derivative of l(b) wrt b? -424 Let g(j) be the first derivative of 3*j**5/4 + j**2 + 18*j - 18. Let w(t) be the first derivative of g(t). What is the first derivative of w(x) wrt x? 45*x**2 Let u(l) be the first derivative of -6 + 4 - 4 - 2*l**2 - 8*l + 2*l. Let w(j) = -2*j - 3. Let t(p) = 2*u(p) - 5*w(p). What is the derivative of t(y) wrt y? 2 Let k(w) = -23*w + 21 + 24 - 15*w. Let a(f) = 18*f - 23. Let i(g) = -7*a(g) - 4*k(g). Differentiate i(c) wrt c. 26 Let d be (17 - -1)*(-3)/(-9). Find the third derivative of -6*y**d - 24*y**2 - 27*y**2 + 50*y**2 wrt y. -720*y**3 Find the first derivative of 21*h + 76 + 56*h - 16 wrt h. 77 Let r(w) be the first derivative of -67*w**4/4 - 55*w**3/3 - 91. What is the third derivative of r(q) wrt q? -402 Let s(g) be the third derivative of g**6/120 - g**5/12 - 6*g**3 - 104*g**2. What is the first derivative of s(p) wrt p? 3*p**2 - 10*p Suppose 2*b + 2 = 6. Let r(z) = -58*z**2 + 53*z - 7. Let a(x) = -19*x**2 + 18*x - 2. Let t(g) = b*r(g) - 7*a(g). Find the second derivative of t(u) wrt u. 34 Let v be (11 + 13)/((-3)/(-2)). Find the second derivative of -5*d**3 + d**3 - v*d + 22*d wrt d. -24*d What is the derivative of 37*v**4 - 1246 + 1265 + 73*v**4 wrt v? 440*v**3 Let o(v) be the third derivative of -1/2*v**4 + 13/60*v**5 + 0*v**3 + 0 + 0*v - 11*v**2. What is the second derivative of o(h) wrt h? 26 Differentiate 15*r**3 - 702*r**4 + 6*r**3 - 21*r**3 + 585 with respect to r. -2808*r**3 Let d be (-8)/24*(-14 + -1). What is the first derivative of -d*i**2 - 4 - 4 - 6*i**2 - 5 wrt i? -22*i Let t(i) be the third derivative of 1/10*i**5 + 0*i**4 + 0 + 0*i + 0*i**6 - 9*i**2 + 0*i**3 - 1/210*i**7. What is the third derivative of t(o) wrt o? -24*o What is the second derivative of 59*r**2 + 144*r**2 - 41*r + 96 - 49 - 47 wrt r? 406 Suppose -2*y = 4*t - 22, -2*y + 4*t = 5*t - 16. Differentiate 4 - y + 0 + 9 + 6*k with respect to k. 6 What is the third derivative of 2*n**2 + 108*n + 3 - 211*n - 40*n**3 + 103*n wrt n? -240 Let f = 1406 + -4216/3. Let k(t) be the first derivative of -f*t**3 + 1 + t**4 + 0*t + 0*t**2. What is the third derivative of k(l) wrt l? 24 Let d(f) = 3*f - 5. Let i be d(3). Suppose 4*a - 5 = -j + i*j, 5*j - 5 = 0. What is the first derivative of -a*x - 5 + 15 + 5*x wrt x? 3 Let f(w) = 4*w + 12. Let q be (0 - (-8)/6)*-3. Let y(o) = -13*o - 36. Let s(g) = q*y(g) - 11*f(g). Differentiate s(h) wrt h. 8 Let g(j) be the second derivative of j**5/10 + 25*j**3/3 + 99*j**2 + 64*j. Find the first derivative of g(a) wrt a. 6*a**2 + 50 What is the second derivative of -5*z - 61*z**5 - 74*z**5 - 51*z**5 + 5*z**5 + 51 + 6*z wrt z? -3620*z**3 Let o(d) be the second derivative of 11/12*d**4 + 0*d**5 - 3/14*d**8 + 0*d**6 + 0 + 0*d**3 + 0*d**7 + 0*d**2 + 4*d. Find the third derivative of o(w) wrt w. -1440*w**3 Suppose 2 = s - 2. Suppose 11*k + 28 = 15*k. What is the first derivative of 18 - 3*o**s - k - 5 wrt o? -12*o**3 Let s(w) be the first derivative of -5*w**2 + 5*w**2 + 7*w**3 + 10*w + 0*w**2 + 33. Differentiate s(i) wrt i. 42*i Differentiate 229 + 4126*z - 2080*z - 2071*z with respect to z. -25 Let t be (9/12)/(18/28). Let q(y) be the third derivative of -7/24*y**4 + 0 + 0*y - t*y**3 + y**2. What is the derivative of q(v) wrt v? -7 Find the second derivative of 22 - 3*v + 442*v**4 - 833*v**4 + 417*v**4 + 16 + 8*v**5 wrt v. 160*v**3 + 312*v**2 Let m(b) = -747*b**4 + 3*b**2 + 3*b - 68. Let r(u) = -747*u**4 + 2*u**2 + 2*u - 68. Let j(h) = 2*m(h) - 3*r(h). What is the derivative of j(p) wrt p? 2988*p**3 Let y(j) be the second derivative of -j + 5/2*j**2 + 0 - j**3 - 1/3*j**4. Let q(l) be the first derivative of y(l). What is the first derivative of q(h) wrt h? -8 Let n(g) = g**3 + 9*g**2 - 3*g - 25. Let o be n(-9). What is the second derivative of -46*y + 7*y**2 + 38*y**o - 4*y**2 wrt y? 82 Suppose -4 - 5 = -3*z. Let c(o) be the first derivative of 38*o**z + 3*o**4 + 2 - 19*o**3 - 15*o**3. What is the third derivative of c(b) wrt b? 72 Differentiate 292 + 259*j - 236*j - 55 wrt j. 23 Suppose 5*k - 5*g = -25, -k - 5*g = -2*k - 25. Suppose k = -4*w + 15 - 3. What is the third derivative of -t**2 + t**2 - w*t**2 + 0*t**2 - 9*t**4 wrt t? -216*t Let p(g) be the third derivative of -g**5/20 - 31*g**4/12 - 40*g**3 + 6*g**2 - 32*g. Differentiate p(t) with respect to t. -6*t - 62 Let a(m) be the third derivative of -m**4 + 1/112*m**8 + 0*m + 0*m**7 + 0 - 9*m**2 + 0*m**5 + 0*m**6 + 0*m**3. What is the second derivative of a(d) wrt d? 6
{ "pile_set_name": "DM Mathematics" }