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0055? 2*b**3 + 2*b + 2619795 What is the c'th term of -117249, -117240, -117229, -117216? c**2 + 6*c - 117256 What is the z'th term of 888507, 888506, 888505, 888504, 888503? -z + 888508 What is the q'th term of 369, 1386, 3097, 5502, 8601? 347*q**2 - 24*q + 46 What is the q'th term of -9978992, -19957983, -29936974, -39915965, -49894956, -59873947? -9978991*q - 1 What is the p'th term of -117037, -117035, -117023, -117001, -116969? 5*p**2 - 13*p - 117029 What is the m'th term of -76460, -76743, -77026, -77309, -77592? -283*m - 76177 What is the c'th term of 3047165, 6094335, 9141513, 12188699, 15235893, 18283095? 4*c**2 + 3047158*c + 3 What is the r'th term of 198723, 398293, 597863? 199570*r - 847 What is the v'th term of 49658, 49644, 49630, 49616, 49602, 49588? -14*v + 49672 What is the d'th term of 50959608, 50959615, 50959628, 50959647, 50959672? 3*d**2 - 2*d + 50959607 What is the p'th term of -456393, -912802, -1369211, -1825620, -2282029? -456409*p + 16 What is the p'th term of -8045, -33091, -74829, -133253, -208357? p**3 - 8352*p**2 + 3*p + 303 What is the q'th term of 14, 130, 424, 980, 1882, 3214? 14*q**3 + 5*q**2 + 3*q - 8 What is the q'th term of 373, 259, -323, -1373, -2891, -4877? -234*q**2 + 588*q + 19 What is the l'th term of -111095088, -222190168, -333285246, -444380322? l**2 - 111095083*l - 6 What is the m'th term of -1046792, -1046788, -1046784, -1046780, -1046776, -1046772? 4*m - 1046796 What is the i'th term of -434663, -869102, -1303541? -434439*i - 224 What is the h'th term of -231989, -463965, -695941, -927917, -1159893, -1391869? -231976*h - 13 What is the n'th term of -59447, -72270, -85093, -97916, -110739? -12823*n - 46624 What is the j'th term of -274, -1763, -3684, -6037, -8822, -12039? -216*j**2 - 841*j + 783 What is the q'th term of -437894, -437925, -437956, -437987? -31*q - 437863 What is the l'th term of 3965, 7908, 11867, 15848, 19857, 23900, 27983? l**3 + 2*l**2 + 3930*l + 32 What is the a'th term of 59, 11, -305, -1021, -2269, -4181? -22*a**3 - 2*a**2 + 112*a - 29 What is the r'th term of 2773, 2964, 3159, 3364, 3585, 3828, 4099, 4404? r**3 - 4*r**2 + 196*r + 2580 What is the c'th term of -2859192, -2859174, -2859156? 18*c - 2859210 What is the p'th term of 2918899, 2918897, 2918891, 2918881, 2918867, 2918849, 2918827? -2*p**2 + 4*p + 2918897 What is the l'th term of -108822, -217663, -326504, -435345? -108841*l + 19 What is the j'th term of 1622618, 1622604, 1622590? -14*j + 1622632 What is the f'th term of 2983, 5765, 8567, 11389, 14231? 10*f**2 + 2752*f + 221 What is the i'th term of -1450, -4858, -10544, -18508, -28750, -41270, -56068? -1139*i**2 + 9*i - 320 What is the l'th term of 38873, 77741, 116611, 155483, 194357, 233233? l**2 + 38865*l + 7 What is the z'th term of -3745130, -7490471, -11235814, -14981159, -18726506? -z**2 - 3745338*z + 209 What is the l'th term of 2239079, 4478165, 6717251? 2239086*l - 7 What is the s'th term of -66697, -266741, -600147, -1066915, -1667045, -2400537, -3267391? -66681*s**2 - s - 15 What is the z'th term of 239090, 238821, 238552, 238283? -269*z + 239359 What is the w'th term of 4738167, 4738170, 4738173, 4738176, 4738179? 3*w + 4738164 What is the r'th term of -751344, -750941, -750538? 403*r - 751747 What is the j'th term of -118, -55, 56, 245, 542? 5*j**3 - 6*j**2 + 46*j - 163 What is the p'th term of 1310737, 2621486, 3932237, 5242990, 6553745? p**2 + 1310746*p - 10 What is the z'th term of 44634319, 89268636, 133902953, 178537270, 223171587, 267805904? 44634317*z + 2 What is the z'th term of -5184003, -10368004, -15552005, -20736006, -25920007, -31104008? -5184001*z - 2 What is the r'th term of -703983, -2815907, -6335773, -11263575, -17599307? r**3 - 703977*r**2 - 7 What is the w'th term of -3398, -6596, -9580, -12344, -14882, -17188, -19256, -21080? w**3 + 101*w**2 - 3508*w + 8 What is the p'th term of 165664657, 331329310, 496993965, 662658622, 828323281, 993987942? p**2 + 165664650*p + 6 What is the f'th term of 76334, 76081, 75828, 75575? -253*f + 76587 What is the u'th term of -29944, -19375, -8806, 1763? 10569*u - 40513 What is the o'th term of -136, -926, -3066, -7234, -14108, -24366, -38686? -113*o**3 + 3*o**2 - 8*o - 18 What is the o'th term of 58, 1126, 4270, 10528, 20938? 173*o**3 - 143*o + 28 What is the b'th term of -277632, -555540, -833448, -1111356? -277908*b + 276 What is the t'th term of 10954, 26505, 42058, 57613? t**2 + 15548*t - 4595 What is the l'th term of -173974084, -173974086, -173974088, -173974090, -173974092, -173974094? -2*l - 173974082 What is the z'th term of 109647, 111472, 114515, 118776, 124255, 130952, 138867? 609*z**2 - 2*z + 109040 What is the w'th term of 76055, 76015, 75973, 75929? -w**2 - 37*w + 76093 What is the g'th term of -1291197, -1291071, -1290945, -1290819, -1290693? 126*g - 1291323 What is the w'th term of -13573, -27118, -40663, -54208? -13545*w - 28 What is the k'th term of 139, 2996, 5853, 8710, 11567? 2857*k - 2718 What is the x'th term of -151421, -605735, -1362933, -2423021, -3786005, -5451891, -7420685, -9692393? -x**3 - 151436*x**2 + x + 15 What is the n'th term of -3650, -3665, -3668, -3653, -3614, -3545, -3440? n**3 - 22*n - 3629 What is the d'th term of 914576, 914584, 914596, 914612, 914632, 914656, 914684? 2*d**2 + 2*d + 914572 What is the g'th term of -91580, -183171, -274786, -366437, -458136, -549895, -641726, -733641? -2*g**3 - 91577*g - 1 What is the q'th term of 168858, 675472, 1519852, 2702016, 4221982? 3*q**3 + 168865*q**2 - 2*q - 8 What is the j'th term of 308455, 308350, 308189, 307984, 307747, 307490? 2*j**3 - 40*j**2 + j + 308492 What is the d'th term of -1339, -5673, -13505, -25333, -41655, -62969? -83*d**3 - 1251*d**2 - 5 What is the g'th term of -380667, -3045262, -10277731, -24362010, -47582035? -380656*g**3 - g**2 - 10 What is the w'th term of 1321500, 2643007, 3964514? 1321507*w - 7 What is the u'th term of -41499, -39193, -36885, -34575, -32263, -29949? u**2 + 2303*u - 43803 What is the i'th term of -133060, -136059, -139058, -142057? -2999*i - 130061 What is the o'th term of 306, 2095, 6962, 16443, 32074? 256*o**3 + 3*o**2 - 12*o + 59 What is the i'th term of -533165382, -533165384, -533165386? -2*i - 533165380 What is the q'th term of -29915922, -29915923, -29915924, -29915925, -29915926? -q - 29915921 What is the h'th term of -123522, -494055, -1111622, -1976223, -3087858? -123517*h**2 + 18*h - 23 What is the c'th term of 3766, 5035, 7120, 10021, 13738, 18271? 408*c**2 + 45*c + 3313 What is the p'th term of -133, 433, 2421, 6539, 13495, 23997? 118*p**3 + 3*p**2 - 269*p + 15 What is the s'th term of 52129, 52008, 51855, 51670, 51453? -16*s**2 - 73*s + 52218 What is the a'th term of -477526, -955059, -1432592, -1910125, -2387658, -2865191? -477533*a + 7 What is the m'th term of 6643418, 13286838, 19930258, 26573678, 33217098? 6643420*m - 2 What is the d'th term of -386, -587, -842, -1175, -1610, -2171? -4*d**3 - 3*d**2 - 164*d - 215 What is the z'th term of -3168638, -3168686, -3168734, -3168782, -3168830, -3168878? -48*z - 3168590 What is the y'th term of -14052, -28609, -44162, -61209, -80248, -101777? -83*y**3 - 13976*y + 7 What is the c'th term of 1357, 2613, 3699, 4609, 5337, 5877, 6223? -c**3 - 79*c**2 + 1500*c - 63 What is the d'th term of -176387, -705659, -1587813, -2822849? -176441*d**2 + 51*d + 3 What is the i'th term of -22938, -92105, -207500, -369129, -576998, -831113, -1131480, -1478105? -i**3 - 23108*i**2 + 164*i + 7 What is the s'th term of 13363, 24949, 36535, 48121? 11586*s + 1777 What is the j'th term of 12348, 13788, 15228? 1440*j + 10908 What is the v'th term of -4872, -4567, -4052, -3321, -2368? v**3 + 99*v**2 + v - 4973 What is the c'th term of 4079869, 8159747, 12239635, 16319533, 20399441, 24479359, 28559287? 5*c**2 + 4079863*c + 1 What is the x'th term of 8185351, 16370707, 24556063, 32741419? 8185356*x - 5 What is the f'th term of 74594, 149377, 224164, 298955, 373750, 448549? 2*f**2 + 74777*f - 185 What is the x'th term of -62137, -255619, -578091, -1029553? -64495*x**2 + 3*x + 2355 What is the s'th term of 4230232, 4230236, 4230240, 4230244, 4230248, 4230252? 4*s + 4230228 What is the b'th term of 9288, -1344, -11976, -22608, -33240? -106
{ "pile_set_name": "DM Mathematics" }
13*f + 16. Let h be z(6). Suppose -q - 4*q = -20. Calculate the highest common divisor of q and h. 2 Let n(r) = -r**3 - 3*r**2 + 6*r + 6. Let q be n(-5). Let v = 88 + -44. Let b = v + q. Calculate the greatest common factor of 28 and b. 14 Let s(h) = -447*h - 267. Let o be s(-2). Calculate the highest common divisor of o and 38. 19 Suppose 52 = -g + 55, -h = -2*g - 24. Calculate the highest common factor of 114 and h. 6 Let a = -630 + 666. What is the greatest common factor of a and 198? 18 Let z(y) = -y**2 + 2*y + 2. Let d be z(2). Suppose d*x - 5*p + p = 20, -x + 5*p = -25. Let b = 35 + x. What is the greatest common factor of b and 7? 7 Let s be -2*(-2 - -1) + 14. Let t be (s/(-20))/((-4)/90). Let y = t + -14. What is the greatest common factor of y and 28? 4 Let j be (-18)/4 - 24/(-16). Let h be -1 + 8 + 1 + j. What is the highest common factor of 5 and h? 5 Let v = 170 + -168. Let c(f) = f**2 + 2*f + 3. Let n be c(-5). Calculate the highest common divisor of v and n. 2 Suppose -r - 9 = -62. Let b = -31 + r. Suppose -2*m + 2*h = -26, m - 20 = 3*h - 3. Calculate the highest common divisor of b and m. 11 Let d = -88 + 88. Suppose -468 = -q - 4*j - d*j, -8 = 2*j. Calculate the highest common factor of 44 and q. 44 Let z be 2/(1 + 0/(-2)). Suppose -88 = -3*b + z*o, -23 = -b - o + 8. Let c(q) = q**2 - 75. Let a be c(9). What is the greatest common divisor of b and a? 6 Let j be 4/10*(4 + 847/22). What is the highest common divisor of j and 272? 17 Suppose -3*o = -5 + 2. Let g = 14 - 10. Let z be (100/(-40))/((2/g)/(-1)). What is the greatest common divisor of z and o? 1 Let j(t) = t + 3. Let x be j(8). Let u = 7 - x. Let q be -3 + 21/(-6)*u. Calculate the greatest common factor of q and 22. 11 Let n = 43 - -52. Let s be 3 + (-8 - -2) - -22. What is the highest common factor of n and s? 19 Let i = 2 + 1. Suppose -85*x - 18*x = -1545. What is the highest common divisor of x and i? 3 Suppose -6642 = -41*a + 5412. What is the greatest common divisor of 1078 and a? 98 Let m = -3 + 96. Suppose 0 = -3*a + m + 363. Let b = a + -90. Calculate the highest common divisor of 93 and b. 31 Let j = -337 - -502. Let l = 9 - -6. What is the highest common factor of j and l? 15 Let l(r) = -2*r**3 - 87*r - 175. Let o be l(-2). Let b be 3/((-2 + 3)/1). Calculate the highest common factor of o and b. 3 Suppose -3*i = -2 - 7. Suppose 5*x + 2*w + 150 = -168, -4*w = -3*x - 170. Let p be x/(-4) + (-3)/6. Calculate the greatest common divisor of i and p. 3 Suppose 4*r = -3*f - 271, -6 - 9 = -5*f. Let j = r + 101. Calculate the highest common divisor of 124 and j. 31 Let a(r) = -r**3 - 10*r**2 - 13*r + 28. Let q be a(-9). Let w = -3 + 17. Let x be 1/(w/(-16) + 1). What is the highest common divisor of x and q? 8 Let j = 786 + -163. Calculate the highest common factor of j and 89. 89 Let w(f) = -f**2 - 12*f + 14. Let q be w(-9). Let u = q + -27. Let x(d) = d**2 + 3*d + 4. Let t be x(-5). What is the greatest common divisor of t and u? 14 Let p(b) = 7*b - 24. Let v be p(7). Suppose -6*x = -3*x - 825. Calculate the greatest common factor of x and v. 25 Let s(i) = -2*i**3 - 2*i**2 + i - 3. Let z = -8 + 12. Suppose -z*p - 21 = -9. Let m be s(p). What is the greatest common divisor of m and 240? 30 Suppose -4*o + 16 = -2*o. Let x be (-60)/(2/(o/12*-2)). What is the greatest common divisor of x and 32? 8 Suppose 4*f = -191 - 273. Let t = -56 - f. What is the greatest common divisor of 45 and t? 15 Let t be 6195/9 + -2 + (-35)/(-21). What is the highest common divisor of 43 and t? 43 Let y(s) = 2*s + 3. Let c be y(6). Suppose -6 = 3*x, -5*h - 63 = -x - 0*x. Let t = 18 + h. Calculate the highest common divisor of t and c. 5 Let b = -24 + 23. Let z be (-24)/(-7)*(b + 8). Suppose 2*v - 240 = -0*v. What is the highest common factor of z and v? 24 Suppose 0 = 6*v - 9*v + 3. Let l be (-21)/(-6)*6/v. Suppose -4*w + 3*b = 2*b - 673, -2*w = 3*b - 333. Calculate the greatest common factor of l and w. 21 Suppose -37*t = -30*t - 105. Calculate the highest common divisor of t and 255. 15 Let m(x) = -4*x - 254. Let j be m(-64). Let b(n) = 3*n - 1. Let l be b(1). What is the greatest common divisor of l and j? 2 Let c be (-3)/6*1*-56. Let p = 8 + -3. Suppose -5*k - 865 = -3*j, -p*j + 3*k + 2387 = 972. What is the highest common divisor of c and j? 28 Suppose -458 = -2*g + 2. What is the greatest common divisor of 46 and g? 46 Let m be (-94)/(-7) + 12/(-28). Suppose 3*a - 20 = m. Let l = 208 - 87. What is the highest common factor of a and l? 11 Let v(t) = -t**2 - 7*t - 12. Let k be v(-5). Let x be k/12 - (-2530)/60. What is the greatest common factor of 28 and x? 14 Suppose -3*f = -8 + 2. Let r(q) = -6*q - 4. Let n be r(-3). Suppose -g + f = -n. Calculate the greatest common factor of g and 32. 16 Suppose 0 = 2*j - 3*z + 8*z - 70, j = 2*z + 26. Let o = 54 - 34. What is the greatest common divisor of o and j? 10 Suppose -4*x = -5*w - 47, 5*w = -11*x + 10*x + 18. What is the greatest common divisor of 351 and x? 13 Suppose 8 + 14 = 3*y - 4*w, 4*y + 2*w - 44 = 0. Let r be (-4)/(-10) + (-4378)/(-55). Calculate the greatest common factor of y and r. 10 Let v(p) = 3*p**2 + 9*p - 3. Let g(z) = z**2 + 1. Let n(m) = 2*g(m) - v(m). Let d be n(-7). What is the highest common divisor of 76 and d? 19 Let r = -733 - -821. Calculate the greatest common divisor of 220 and r. 44 Suppose 30*s = 45*s - 645. What is the greatest common factor of s and 43? 43 Let b = 3746 + -3745. Suppose -4*c + 15 = -c. What is the greatest common factor of c and b? 1 Let b(d) = -d**2 - 18*d - 6. Let k be b(-3). Calculate the greatest common factor of k and 91. 13 Let w(f) = 63*f**3 + 35*f**2 - 67*f + 5. Let o be w(2). Calculate the highest common divisor of 10 and o. 5 Let o(v) = 23*v**2 + 2*v + 2. Let h be o(-2). Let l = -16 + 33. Let m = l + 19. Calculate the highest common factor of h and m. 18 Let v(j) = 3*j**3 + 2*j**2 + j - 2. Let b(y) = -14*y - 2. Let w be b(-1). Let s = w + -11. Let g be v(s). What is the highest common factor of g and 10? 2 Let k be (110 - -1)*2/6. Suppose -11 = j - 4*w - k, 2*w = 3*j - 118. What is the greatest common factor of j and 6? 6 Let v(q) = -q**2 - 8*q + 1. Let t be v(-8). Let c be ((-4)/(-5))/(t/5). Let j be 1 + -4 + c + 3. What is the highest common factor of j and 1? 1 Let l = 14 - 15. Let n = l + 7. Let r be n/(-33) + (-400)/(-22). Calculate the highest common divisor of 144 and r. 18 Let y(b) = b**3 + 6*b**2 + 8*b + 30. Let l be y(-5). Calculate the greatest common factor of l and 555. 15 Let f(n) = -22*n + 309. Let w be f(11). What is the highest common factor of w and 737? 67 Let i(s) = 2 + 24*s**3 + 0*s + 9*s**3 - s. Suppose 5*u - 7*l = -5*l + 5, u - 2*l = 1. Let a be i(u). What is the highest common factor of a and 136? 34 Suppose -12*w + 10*w - 3*p = -309, -5*p + 461 = 3*w. Calculate the greatest common factor of 36 and w. 18 Suppose 3*q + 42 = -3*r + 462, -2*r + q + 268 = 0. Suppose -61*d + 62*d + 71 = 2*k, 0 = -4*d - 12. What is the greatest common factor of k and r? 34 Suppose -14*z = -6*z - 784. Calculate the greatest common factor of z and 98. 98 Suppose -5*w = 5, 0 = -a + 132*w - 137*w + 35. What is the greatest common factor of a and 35? 5 Let z be (-2)/10 + 4689/45. Calculate the greatest common factor of 65 and z. 13 Let o be (4/4)/(2/(-4)). Let u be o/(-1*(-3)/(-12)). Suppose -3*j + u*j - 720 = 0. Calculate the highest common divisor of 16 and j. 16 Suppose -7*r + 86 = -516. Calculate the highest common factor of r and 3182. 86 Suppose -8*m = -18*m + 980. What is the highest common divisor of m and 28? 14 Suppose 4*c - 79 = -939. Let z = -135 - c. Calculate the highest common factor of 16 and z. 16 Suppose 0 = 4*i + 16, -5*i + 60 = m + 3*m. What is the highest common divisor of 55 and m? 5 Let m(j) = j**2 - 5*j + 3. Let o(k) = 2*k**2 - 11*k + 6. Let z(q) = 13*m(q) - 6*o(q). Let v be z(2). What is the highest common divisor of 45 and v? 9 Suppose -2*f + b - 1 = 0, -2*f + 7*f = 5*b - 10. Let q be (f/(-2))/((-5)/270). Calculate the greatest common factor of 189 and q. 27 Let u = -162 + 270. Let j = 21 - 9. What is the greatest common divisor of j and u? 12 Let v be (-2 - 3)/((-30)/12). Let y(w) = -8*w - 22 + 4*w - v*w + 4*w. Let c be y(-13). What is the highest common div
{ "pile_set_name": "DM Mathematics" }
on divisor of 464 and 290? 58 What is the highest common factor of 54 and 54594? 54 Calculate the highest common factor of 750 and 60. 30 What is the highest common factor of 30 and 570? 30 Calculate the highest common divisor of 8442 and 3. 3 Calculate the highest common divisor of 132 and 492. 12 What is the highest common divisor of 20 and 3912? 4 Calculate the greatest common divisor of 243 and 54. 27 Calculate the greatest common factor of 276 and 42. 6 What is the highest common divisor of 515 and 412? 103 Calculate the highest common factor of 5064 and 60. 12 What is the greatest common factor of 150 and 246? 6 Calculate the highest common factor of 1307 and 2. 1 What is the greatest common factor of 1561 and 446? 223 What is the highest common factor of 913 and 22? 11 Calculate the highest common divisor of 188 and 6862. 94 Calculate the highest common divisor of 2197 and 13. 13 Calculate the highest common divisor of 14 and 63. 7 Calculate the greatest common factor of 91 and 65. 13 Calculate the greatest common divisor of 416 and 78. 26 Calculate the greatest common factor of 273 and 7280. 91 What is the highest common divisor of 54 and 2862? 54 Calculate the greatest common divisor of 66 and 4763. 11 Calculate the greatest common factor of 46 and 1794. 46 What is the greatest common factor of 1258 and 74? 74 Calculate the highest common divisor of 24 and 2032. 8 Calculate the highest common factor of 36 and 396. 36 What is the greatest common divisor of 26 and 2561? 13 What is the greatest common divisor of 28 and 602? 14 What is the greatest common factor of 5 and 1? 1 Calculate the highest common divisor of 238 and 350. 14 Calculate the greatest common divisor of 1343 and 1275. 17 Calculate the greatest common factor of 61 and 183. 61 What is the highest common divisor of 10361 and 26? 13 What is the greatest common factor of 40 and 210? 10 Calculate the greatest common factor of 6 and 396. 6 Calculate the highest common divisor of 867 and 663. 51 What is the greatest common factor of 13 and 4771? 13 Calculate the highest common divisor of 832 and 13. 13 Calculate the greatest common factor of 12 and 176. 4 What is the greatest common divisor of 36 and 324? 36 Calculate the highest common divisor of 408 and 17. 17 What is the highest common factor of 1016 and 8? 8 Calculate the greatest common divisor of 927 and 9. 9 What is the greatest common divisor of 12079 and 47? 47 Calculate the greatest common divisor of 640 and 130. 10 What is the greatest common divisor of 42 and 224? 14 What is the greatest common factor of 31 and 6355? 31 Calculate the greatest common factor of 24 and 32. 8 Calculate the highest common factor of 21 and 18. 3 What is the greatest common divisor of 31 and 2480? 31 Calculate the highest common divisor of 3515 and 148. 37 Calculate the highest common factor of 56 and 203. 7 What is the highest common divisor of 2745 and 90? 45 What is the greatest common divisor of 2745 and 315? 45 Calculate the highest common factor of 13 and 1807. 13 Calculate the greatest common divisor of 549 and 18. 9 Calculate the highest common divisor of 3773 and 385. 77 Calculate the highest common factor of 13 and 8840. 13 Calculate the greatest common factor of 6 and 16914. 6 Calculate the greatest common factor of 55 and 869. 11 What is the highest common factor of 58 and 2842? 58 What is the highest common factor of 8 and 3496? 8 Calculate the highest common divisor of 1 and 41. 1 What is the greatest common divisor of 3500 and 56? 28 Calculate the greatest common divisor of 54 and 2619. 27 Calculate the highest common divisor of 1176 and 1911. 147 What is the highest common divisor of 8326 and 543? 181 What is the highest common factor of 19 and 4560? 19 What is the highest common divisor of 24 and 258? 6 Calculate the highest common factor of 924 and 726. 66 What is the greatest common factor of 665 and 133? 133 Calculate the highest common factor of 770 and 209. 11 What is the greatest common factor of 526 and 4? 2 Calculate the greatest common divisor of 67 and 871. 67 What is the highest common factor of 10 and 12130? 10 Calculate the greatest common divisor of 87 and 12. 3 What is the greatest common factor of 5 and 29? 1 Calculate the highest common divisor of 254 and 3429. 127 What is the highest common factor of 1 and 71? 1 What is the greatest common factor of 12754 and 14? 14 What is the greatest common divisor of 7884 and 360? 36 What is the highest common factor of 1062 and 18? 18 What is the greatest common factor of 124 and 1023? 31 Calculate the greatest common factor of 14 and 35. 7 Calculate the greatest common factor of 20 and 40. 20 Calculate the greatest common factor of 285 and 45. 15 Calculate the greatest common divisor of 72 and 32. 8 Calculate the highest common factor of 621 and 27. 27 Calculate the greatest common divisor of 4 and 13200. 4 What is the highest common factor of 2604 and 837? 93 Calculate the greatest common divisor of 11174 and 222. 74 What is the highest common factor of 1558 and 82? 82 What is the highest common divisor of 56 and 152? 8 Calculate the greatest common divisor of 126 and 14. 14 Calculate the highest common divisor of 985 and 15. 5 Calculate the greatest common divisor of 51 and 2210. 17 Calculate the highest common factor of 85 and 272. 17 Calculate the greatest common factor of 43 and 473. 43 Calculate the greatest common factor of 1891 and 93. 31 What is the greatest common divisor of 2 and 8? 2 Calculate the greatest common divisor of 54 and 6. 6 Calculate the greatest common divisor of 12798 and 4. 2 What is the greatest common factor of 13 and 7709? 13 What is the highest common divisor of 12 and 384? 12 What is the greatest common factor of 440 and 2970? 110 What is the greatest common divisor of 510 and 150? 30 What is the greatest common divisor of 4 and 1800? 4 What is the greatest common factor of 33 and 473? 11 Calculate the greatest common divisor of 57 and 304. 19 Calculate the highest common divisor of 38 and 209. 19 What is the greatest common factor of 35 and 1? 1 What is the highest common factor of 192 and 20064? 96 What is the highest common divisor of 44 and 682? 22 What is the greatest common factor of 14 and 7966? 14 Calculate the highest common factor of 384 and 32. 32 What is the greatest common divisor of 737 and 66? 11 What is the highest common factor of 128 and 704? 64 Calculate the greatest common divisor of 210 and 882. 42 What is the greatest common divisor of 78 and 130? 26 What is the highest common divisor of 29643 and 123? 123 What is the greatest common factor of 165 and 715? 55 Calculate the highest common divisor of 27572 and 976. 244 Calculate the greatest common factor of 44 and 1782. 22 Calculate the highest common divisor of 7289 and 37. 37 What is the highest common divisor of 18 and 11538? 18 What is the highest common divisor of 152 and 1273? 19 Calculate the highest common divisor of 44 and 187. 11 Calculate the highest common divisor of 925 and 4255. 185 Calculate the highest common factor of 72 and 248. 8 What is the greatest common divisor of 146 and 1606? 146 Calculate the greatest common factor of 86575 and 25. 25 What is the highest common factor of 11598 and 2? 2 Calculate the greatest common factor of 21 and 7. 7 Calculate the greatest common divisor of 1030 and 10. 10 Calculate the greatest common factor of 21 and 777. 21 What is the greatest common divisor of 1572 and 60? 12 What is the greatest common divisor of 55 and 10? 5 What is the greatest common factor of 13164 and 12? 12 What is the highest common divisor of 2260 and 4? 4 What is the highest common factor of 3105 and 945? 135 Calculate the highest common divisor of 75 and 6. 3 What is the greatest common factor of 3283 and 49? 49 Calculate the greatest common divisor of 17038 and 42. 14 Calculate the greatest common divisor of 123 and 82. 41 What is the highest common divisor of 3484 and 1273? 67 Calculate the greatest common factor of 102 and 833. 17 What is the greatest common divisor of 8 and 13728? 8 What is the greatest common divisor of 608 and 38? 38 What is the greatest common factor of 484 and 308? 44 What is the highest common divisor of 10
{ "pile_set_name": "DM Mathematics" }
-5 + 29. 27 What is the value of 7 + (-19 - -14 - 3) - 4? -5 What is 5 - 1 - 2 - (-15 + 0 + 11)? 6 What is the value of 9 + -2 + (-8 - -2) + 8 + -31? -22 ((13 - -1 - 8) + 1 - 11) + 30 26 Calculate 16 + (-1 + 1 - (209 + -195)). 2 Evaluate (40 - 31) + 1 + 6 + -13. 3 What is the value of 27 + (12 - (25 + 20))? -6 18 + 0 + (-1 - 11 - -8) 14 0 - -35 - (-26 - (-35 + -1)) 25 Calculate (35 - 29) + -1 + -12. -7 18 + -19 + (-25 - -11) -15 What is 6 + -22 + 12 - 8 - -10? -2 What is (2 + -16 - -17 - (-2 + 4)) + 18? 19 Calculate (15 - 42 - 3) + 58. 28 Calculate (-68 + 52 - -28) + (-28 - (-3 - -1)). -14 Evaluate -379 - -380 - (22 + 1). -22 3 - (1 - ((27 - 10) + -7)) 12 (0 - 20 - -14) + -22 -28 Calculate -7 + (0 - 6) + 10 - -10. 7 What is the value of 5 + 12 + (18 - (-13 - -11))? 37 Calculate 13 - (52 - (43 - 28)). -24 What is 1 - (-9 + -6 + -2) - 12? 6 7 + 12 + -3 + -10 + -7 -1 Calculate -4 - (-23 + 9) - 3 - (-1 + 6). 2 What is (-50 + 29 - -33) + -8? 4 What is the value of 1 + (-7 - 13 - -8) + 3? -8 What is the value of ((14 - 6) + 5 - -10) + -4? 19 -1 + 5 - 0 - (-48 + 42) 10 Evaluate (-25 - (-1 + 1)) + 16. -9 Calculate 3 + (4 - 0 - (55 - 57)) + -39. -30 What is the value of -15 + 3 + (23 - 1)? 10 -11 + (-42 - -48 - (2 - (3 - 5))) -9 What is 5 + -4 + 6 - (27 - 21)? 1 Evaluate -2 + 33 - (54 + (-118 - -61)). 34 What is the value of (-434 - -420) + (-4 - -3)? -15 Evaluate -5 + 8 + 7 + -21. -11 What is 6 + (8 - 39 - -13 - (-4 - 1))? -7 What is (9 - 2) + -33 + 32 + (-3 - 6)? -3 (0 + 2 - -3) + (41 - 15 - 57) -26 What is (-115 - -112) + (4 - -1) + 5? 7 Evaluate 8 + (8 - 7) - (6 - 9) - 39. -27 Evaluate (-1 - -2) + -6 + (-14 - -12) + 20. 13 Evaluate (33 + 1 - 42) + 4 + -2 + 6. 0 What is the value of (-3 - -30) + (-23 - -14)? 18 Calculate -3 - (-7 - -1) - -5 - (3 + -2). 7 Calculate -7 - (1 - (11 - 5)) - (-1 - 9). 8 Calculate (-8 - (-5 + -1 - -5)) + -7. -14 (2 - 4) + 2 + (-11 - -10 - -2) 1 0 - (-6 - (12 + 9 - 8)) 19 What is the value of -5 - -5 - 3 - 7? -10 What is 3 + -1 + (87 - 74) + -31 + 1? -15 Evaluate -9 - 6 - -14 - -7. 6 What is (-2 - -5) + (2 - -10) - 2? 13 What is the value of 6 + 11 - 13 - 14? -10 What is (-3 - (5 + -6)) + 29 + 0 - 4? 23 What is (1 - -3 - -4) + 24 + -16? 16 What is (16 - -11) + -30 + -8? -11 What is the value of 42 - (-39 - -49 - 0)? 32 Calculate -65 + 45 + (7 - -4). -9 What is the value of (-18 + 43 - 15) + 11 + -2? 19 (2 + -47 - -11) + 15 -19 Evaluate -30 - (8 - (-10 + 2) - 8 - 17). -21 What is the value of ((1 - -4) + -3 - -2) + -2? 2 What is (-173 - -183) + (0 - -3)? 13 -74 + 80 + 0 + -2 4 What is (13 - (33 + -20)) + 16? 16 Calculate (1 - -7) + -2 + (-12 - (-18 - -6)). 6 Calculate (30 - 19) + -16 + 7 - (17 - -1). -16 42 + 17 + -58 + 1 + 10 12 What is -1 + 0 + -2 + 8 + -346 + 331? -10 What is 40 + 0 + -30 + -17 + -1? -8 Evaluate -19 - (17 + -18 - 32). 14 What is 0 + (-67 - -37) + 36? 6 Evaluate -7 + 13 + -17 + (0 + 10 - 3). -4 -19 - (-5 - (4 + 7 + -10)) -13 What is the value of (-9 - -3) + 4 + 2 - (-2 - 0)? 2 What is 32 - (17 - -22) - (-22 - 1)? 16 What is 21 - (17 + 0 + -12 - (-1 + 3))? 18 What is the value of -2 + (8 - 0) - (62 - 58)? 2 What is the value of -9 + -2 + -1 + 9 + -8? -11 What is (0 + (9 - 8) - -32) + -8? 25 -6 - (-4 + (-13 - -21)) - (-35 + 3) 22 Evaluate 43 + -64 - (7 + -35). 7 4 + 1 - (19 - (17 - (15 + -5))) -7 What is the value of (10 - 7) + 7 + 21 + (-10 - -2)? 23 What is -5 + 1 + -5 + (23 - 3)? 11 Calculate -14 + (44 - 29 - (-4 + -29)). 34 -5 + 1 - (233 + -238) 1 What is (-7 + -9 + 6 - -17) + (13 - -1)? 21 Evaluate (17 - (-17 + 46)) + 6. -6 Evaluate -25 + 36 - (2 + 17). -8 What is the value of 21 + 2 + -1 + (-59 - 20 - -77)? 20 -9 + (21 - (5 - 1)) 8 What is the value of 9 - 0 - (-43 + 31 - -21)? 0 Evaluate -1 + 4 + 0 - (36 + -44). 11 Calculate 793 + -794 - (1 + (30 - (0 + -2))). -34 What is the value of -8 + (8 - (3 - (-2 - -18)))? 13 Evaluate 16 - (16 - -2 - (148 + -135)). 11 -151 + 163 - (-9 + -1 + 2 + 1) 19 What is 4 - 2 - 13 - (31 + (0 - 30))? -12 Calculate 15 + (7 - (-3 + 7 + 1) - 5). 12 -46 + 45 - (19 - -15) -35 What is the value of 0 + 5 + 2 + -11? -4 (12 - 4) + 0 + -18 -10 Calculate (16 - (16 + -6)) + -11. -5 12 - (6 + (-13 - (1 - 7))) - 2 11 What is the value of 1 + 1 + 0 - (-326 + 342)? -14 Calculate (-48 - -43 - (-13 + -1)) + -27 + 6. -12 What is the value of -3 + 0 + 4 - (-9 + -14 + 23)? 1 -1 - 4 - (5 + 4 + (-39 - -21)) 4 (2 - 3) + 2 + 5 - (2 + -12) 16 Calculate -5 + -7 + 17 - (3 + -6). 8 Calculate (21 + -9 - (3 + -8)) + -28. -11 0 + (13 - 1) + 23 + (33 - 62) 6 Calculate (11 - 1) + -23 + (-13 - -31). 5 What is 18 - (4 + 2 + -6 + 6)? 12 What is the value of -20 + 2 - -2 - -6 - -2 - -1? -7 What is the value of 2 + 1 + (1 + 0 + 2 - 13)? -7 4 + 37 + (32 - 46) 27 Evaluate (43 + -9 - 11 - -3) + (0 - 2). 24 Evaluate 24 - (-14 + (55 - 22)). 5 What is (10 - -1) + 52 + -20 + -35 + 7? 15 Calculate (1 - 33) + 258 + -241. -15 Evaluate -15 + 0 + (10 - 4 - 8 - -6). -11 -85 + 100 + -3 + -34 - -6 -16 Calculate 1 - 9 - ((10 - 0) + -6). -12 What is the value of 16 - (16 - -10) - -3? -7 Calculate -3 + -2 - ((-8 - 10) + -3) - 5. 11 What is the value of 17 + -17 + -12 + 3? -9 (3 + 30 - (0 + 3) - -1) + -3 28 Calculate 3 - (-3 - (-23 - -11)). -6 -33 - -2 - ((6 + 0 - -5) + -19) -23 (0 - 3) + (9 - 5 - 7) -6 What is the value of 3 + -5 + -21 + 6 + 2? -15 Calculate -1 + 3 - (-4 - -1) - (-25 - -28). 2 Calculate 12 + 6 + 1 + -9. 10 What is the value of 9 + (-8 - (-17 - (7 - 11)))? 14 What is 3 - (0 - 3) - (-4 + 6)? 4 Calculate 5 + 1 + (7 - 2 - 20) - -1. -8 What is 9 - (-18 - (-13 - 11))? 3 What is the value of 8 - 0 - (-18 - (-20 - (11 + 3)))? -8 Evaluate -8 - (-1 + 7 + 0 - (-575 + 612)). 23 Calculate -4 + 14 + 3 - 3 - (-221 + 213). 18 What is 12 + (-17 - (-2 + -26))? 23 Evaluate (-9 - (-8 + -8)) + -1. 6 What is (-11 - (6 - 6)) + 5 + -3? -9 Calculate -5 + (1 + -14 - (-22 + 8 + 11)). -15 What is (14 - 26) + (9 - (-2 - (-4 - 4)))? -9 What is the value of -1 - -4 - (-24 - -13 - (0 - 6))? 8 1 + 21 + -10 - 7 5 Calculate (10 - 4) + (-35 - -26). -3 Evaluate (-3 - (-3 + -3 + -2)) + 1. 6 Evaluate 7 - -2 - 22 - (-6 - (10 - 12)). -9 What is (3 - -12) + (-13 - -8) - (-5 - -11)? 4 Evaluate -10 + 0 + (3 - (6 - 2 - -2)). -13 Calculate 6 + -3 + -2 - 8 - (39 - 52). 6 Evaluate 14 + -13 + (-12 - -23). 12 What is the value of -7 - (-2 + -11 - -6)? 0 What is 7 + (13 + (-32 - -15) - (-5 - 0))? 8 Calculate -12 + -4 + (-14 - -79) + -16. 33 Calculate 302 - 296 - (-6 + 0 + -1). 13 Calculate 5 + -9 + -2 - (-2 - (4 + -8)). -8 Evaluate 1 + (17 - 13) + 3. 8 What is -20 + 32 + -8 + (-2 - -1 - -4)? 7 -12 + 2 + 54 + -17 27 Evaluate 0 + -31 + 35 + -34. -30 Evaluate (0 - (-12 - -8)) + -4 + 8. 8 (13 - ((-7 - -5) + -8)) + -10 13 Evaluate 5 - (-3 - (-16 + -1)) - 11. -20 Evaluate (800 + -804 - ((-1 - -2) + 2)) + -10. -17 -1 - -4 - ((-31 - -7) + 18) - -7 16 Calculate (-4 - -10) + 3 - (7 - 5). 7 What is the value of (16 - 0) + (-34 - (0 - 23))? 5 What is the value of (-12 + 3 - (12 + -28 - -8)) + -4? -5 Evaluate (0 - (-14 - 2)) + -27. -11 18 - (6 + (2 - 0) + -6 + 3) 13 Evaluate 7 + -23 + 1 + 0 + -7 + 4. -18 -3 + 12 - (-16 + 35) -10 Evaluate -26 + (-15 - (7 + -21)) - -6. -21 Evaluate 6 - (8 + -4) - (-1 - -3). 0 What is -25 + -8 + (2 - 2) + (-177 - -187)? -23 -34 + (-15 - -48) - (27 + -7) -21 What is the value of (4 - (11 - 6)) + (2 + -2 - -8)? 7 What is the value of -12 - (-21 + 60) - -33? -18 What is (-93 - -43 - -53) + (20 + -2 - 1)? 20 What is the value of 1 + -3 + 9 + -13 - -5? -1 (-8 - 2) + 12 + 6 8 -10 - (9 + 2 + 13 + -19 - 10) -5 What is the value of -4 + 3 + (-9 - -13) - 6? -3 What is the value of 7 + -22 + -9 - -42? 18 15 + (-9 - 8) + 2 - (1 + -18) 17 (-7 - 6) + (1 - -5) + -5 + 18 6 -91 - -95 - (-1 - -1) - 8 -4 What is the value of (-7 - -2) + 33 + (-29 - 11)? -12 Calculate (3 - 10) + (2 - -20 - -1 - 0). 16 Evaluate (-25 + 15 - -24) + -7 + 2. 9 What is the value of 4 + -17 + (56 - 5) + -22? 16 Evaluate 6 + (-6 - (9 - 12 - -14)). -11 Evaluate -23 - (10 - 9 - 14). -10 22 - (56 - 68 - (1 + -17)) 18 Calculate (-17 - 4) + 10 - (1 + (-2 - 24)). 14 Evaluate (-25 - -34 - -17) + -11. 15 What is the value of (-34 - -8) + 6 + 7 + 0? -13 What is the value of -5 + -22 - (-10 + (6 - 6) - -2)? -19 Calculate -10 + (3 + 7 + -6 - 2) - 19. -27 Calculate (-1 - ((-1 + -1 - 2) + 5)) +
{ "pile_set_name": "DM Mathematics" }
44)/(-5))/2*(108/(-8) + 11). Let a(g) = -2 - 8*g + 7*g + 0*g. What is a(k)? 9 Let z be (6/(-5))/((93/(-310))/((-6)/4)). Let i(c) = -c**2 - 10*c. What is i(z)? 24 Let w(k) = -k**2 + 13*k + 18. Let t be w(14). Let y(q) = -1 + q + 2 + 0 + t. Calculate y(6). 11 Let c be 26/10 - (-4)/10. Suppose l + c = -2. Let w(m) = 7 - 317069*m**3 + 317068*m**3 - 5*m**2 - 5 + 3*m. Determine w(l). -13 Suppose 0 = -4*f - 907 - 125. Let w = f - -255. Let c(h) = -h**2 + h + 1. Determine c(w). -11 Suppose a - 3*a + 3 = -c, -5*a + 8 = -3*c. Let s(p) = -7515*p + 145. Let i(m) = 311*m - 6. Let t(l) = -145*i(l) - 6*s(l). Determine t(c). 5 Suppose 5*s - s + 20 = 0. Let b = -13 - -19. Let q(u) = b*u**3 + 289*u**2 - 295*u**2 - 7*u**3 - 5 - u. Give q(s). -25 Let f(p) = -p + 7. Let d(k) = -k + 7. Suppose 0 = 5*u - 2*l - 3 + 33, 4*u + 24 = -5*l. Let g(j) = u*d(j) + 5*f(j). Let h = 3 - 0. Calculate g(h). -4 Let f(q) = 601*q + 40. Let t(v) = 1083*v + 81. Let z(x) = -9*f(x) + 5*t(x). Determine z(-8). -3 Let x(m) = -27*m + 8*m**3 - m**3 - 6*m**3 + 23*m**2 + 2901 - 2968. Give x(-24). 5 Suppose -634 = 9*c - 58. Let z = 62 + c. Let w(n) = n**3 - 1. Let v(p) = -p**3 + 5*p**2 + 7*p + 8. Let u(d) = z*w(d) - v(d). Calculate u(-4). 6 Let o(n) = 2*n**2 + 191*n - 1672. Let u be o(8). Let f(x) = x**2 + 10*x - 62. Calculate f(u). 34 Let x(m) = -10*m - 99. Suppose -5*q + 4 = -15482*p + 15486*p, 0 = p + q + 1. Calculate x(p). -9 Let b(j) be the second derivative of -3/2*j**2 - 1/2*j**3 - 27*j + 1/12*j**4 + 0. Suppose 41 = -7*f + 27. What is b(f)? 7 Let t(i) = 5*i**2 - 107*i + 106. Let p be t(1). Let w(k) = k**3 - 3*k**2 - 4*k - 2. Calculate w(p). -2 Suppose -14*a = 28*a + 168. Let w(i) = 3*i + 2 - 6*i + 0*i + 2*i. What is w(a)? 6 Let l(j) = -j**3 + 5*j**2 - j - 12. Suppose 410*p - 320*p = 360. Give l(p). 0 Let n(i) = -5 + 61*i - 31*i - 20 - 28*i + i**2 - 16. Determine n(6). 7 Suppose -3*u = -4*u - 2, -6 = -5*n + 3*u. Suppose -12*c + 11*c - 1 = n, 12 = s - 5*c. Let r(j) = j + 2. Calculate r(s). 9 Let t(h) = -5*h**3 + 3*h**2 - h + 6. Let c(f) = -151*f**3 + 5*f**2 + 4 - f + 145*f**3 - f**2 + 1. Let m(q) = -4*c(q) + 5*t(q). Determine m(0). 10 Let j be 2*((-1320)/275 + (-18)/(-10)). Let f(r) = -3*r**2 - 2*r - 14. What is f(j)? -110 Let r(b) = b**3 + 70*b**2 + 3*b + 217. Let a be r(-70). Let z(w) = -4*w + 20. What is z(a)? -8 Suppose 0 = -3*h + 39. Suppose -h*b + 10 = -3. Let m(f) = 10*f + 1. Give m(b). 11 Let k(p) = -p + 1. Suppose -16 = -25*g + 21*g. Suppose 3*z + 13 = 5*z - q, -3*q - 29 = -g*z. Give k(z). -4 Let h(z) = -z**2 + 2. Let w = 16 - 16. Suppose g - 19 + 16 = w. Suppose 0 = -14*o + 15*o + g. Determine h(o). -7 Let o(b) = -b + 3. Let h be (-3 - 15/(-35))*(51/(-9) - -1). Calculate o(h). -9 Suppose -7*p - 3*p = -4*p. Suppose 4*h = -2*a, -3*h + 18 = -p*h - 3*a. Let g(q) = 2*q**2 - 5*q**2 + q - 2 + 3*q**2 + q**h. What is g(-6)? 28 Let x(n) = -n**3 + 10*n**2 - 29*n + 56. Let d(q) = q**3 - 14*q**2 + 43*q - 81. Let i(h) = -7*d(h) - 10*x(h). Give i(3). 37 Let t(q) = 2*q - 8. Let p = -2398 - -2408. What is t(p)? 12 Let g(d) = 59*d**2 - 15*d + 186. Let t(r) = -138*r**2 + 30*r - 374. Let o(v) = 7*g(v) + 3*t(v). Give o(-23). -4 Suppose 162*r = 163*r + q + 22, -3*r - 66 = -4*q. Let l(u) = 3*u + 63. Give l(r). -3 Let s(q) be the third derivative of q**6/144 + q**5/15 - 11*q**4/4 + 51*q**2 - 2. Let c(j) be the second derivative of s(j). What is c(-6)? -22 Let c(p) = 3 + 7*p**3 - 4 + 5*p**3. Suppose -10 = -17*k + 24. Suppose 4*v - 24 = -4*s, 2*v + 2*v - 22 = -k*s. What is c(s)? 11 Let v(b) = -19*b - 77. Let d(c) = c**2 + 18*c + 52. Let a be d(-4). What is v(a)? -1 Let i(v) = v**2 + 9*v + 8. Suppose g - 21 = -2*g. Suppose -3*w - g = -2*l + 4*l, l + 3*w = 1. Let h be (6/8)/(4 + 33/l). Determine i(h). -10 Let m(u) = -u**3 + 5*u**2 + 10*u - 1. Let i(h) = -2*h**3 + 9*h**2 + 21*h - 1. Let s(j) = -2*i(j) + 5*m(j). Let k = -89 - -97. Give s(k). -3 Let d(m) = -31*m**2 - 35*m**3 + 36*m**3 - 5*m + 28*m + 2 + 1 + 8*m. What is d(30)? 33 Let q be 5*(-294)/(-175)*(1 + 28/(-8)). Suppose -6*c + 125 = -c. Let x = c + q. Let n(h) = h**2 - 3*h + 5. What is n(x)? 9 Let g(b) = b**2 - 30. Let i be (25/7 + -5)*49/14. Determine g(i). -5 Let n(o) be the third derivative of o**7/1260 - o**6/180 + 73*o**5/60 + 13*o**2 - 2*o. Let k(z) be the third derivative of n(z). Give k(5). 16 Let t(l) = 10 + 2*l - 4*l**2 + 7 - 20 + l**3 - 6*l. Let y be t(5). Let u(o) = y*o - 5 + 0*o + 1. Give u(5). 6 Let c(b) be the third derivative of 0*b - 1/60*b**5 - 99*b**2 - b**3 + 0 + 1/3*b**4. What is c(4)? 10 Let i = 24 + -37. Let r be (-1 - -1) + 13 + i. Let p(o) = -o**3 + o**2 - o + 4. What is p(r)? 4 Let l be 4/7 + 10/(-42). Let c(n) be the second derivative of 0 + n**2 + l*n**3 + 16*n. Determine c(2). 6 Let p(z) = -20*z + 62. Let x be p(-5). Let l be -3*15/(-6)*x/(-135). Let k(o) = 3 + 9 + 0*o + 2*o. Determine k(l). -6 Suppose -3*d - 86 = 7*c, 79*c - 3*d = 81*c + 16. Let a(p) be the first derivative of -p**3/3 - 15*p**2/2 - 22*p + 3. What is a(c)? -8 Let y(b) = -24*b**3 - b. Let z be -177 - (-7)/(12 + -5). Let o = z + 175. What is y(o)? 25 Let r(x) = 51*x**2 + 231*x + 26 - 50*x**2 - 264*x. Determine r(32). -6 Suppose 0 = -245*p + 262*p - 833. Let d(b) = b**2 - 59*b + 494. Determine d(p). 4 Let r(h) be the third derivative of -35*h**4/24 + 349*h**3/6 - 1659*h**2. What is r(10)? -1 Let a be ((6 - 3) + 2)*1. Suppose 3*z - a*o - 1 = -2, -14 = -2*z - 4*o. Let s(f) = z + f + f + f. Calculate s(4). 15 Let b(j) = 2*j - 3. Let r(k) = 11*k + 12*k + 15*k - 39*k + 2. Let w(g) = b(g) - 3*r(g). Calculate w(6). 21 Suppose 0 = 2*b - 7*b - 15. Let q = b + 8. Let c(k) = -22461*k - 2 + 4 - 2 - 2 + 22464*k. Determine c(q). 13 Let c(j) be the second derivative of -1/6*j**3 + 2*j + 8*j**2 + 128. Give c(14). 2 Let q(l) = -24*l + 9. Let k(z) = -31*z + 9. Let y(h) = 4*k(h) - 5*q(h). What is y(-24)? 87 Suppose -4*r - 4*m + 24 = 0, -r - 2*r = 2*m - 17. Let z(y) = -3*y**3 - 7*y + 1. Let h(d) = 7*d**3 + d**2 + 16*d - 1. Let j(s) = r*z(s) + 2*h(s). Determine j(2). -3 Let w(t) = 7*t - 91. Let r be w(13). Suppose r = -218*q + 224*q - 6. Let b(g) = -42*g**3 - g + 1. Calculate b(q). -42 Let v(a) = -a**3 - 3*a**2 + a - 1. Let g = 1281 - 1284. Determine v(g). -4 Let v = -2354 + 2354. Let b(l) be the third derivative of 0 + 1/2*l**3 - 1/120*l**6 + 1/20*l**5 + 0*l + 3*l**2 + v*l**4. Give b(3). 3 Let w(o) = 3*o + 22. Let f be w(-4). Let p be (4/f)/(6/330). Let a(k) = -11*k**2 - 3*k - p*k**2 + 27*k**2 + 2*k - 1. Determine a(-1). -6 Let j(o) = -o**2 + 4*o + 1. Suppose -2*n = 4*x - n - 57, -31 = -2*x - n. Suppose x = 2*z + 7. What is j(z)? 4 Let w(i) be the second derivative of i**4/12 + 5*i**3/6 - i**2 + 6*i. Let q be 9/(2 - 3/6). Suppose q*u - 9 + 45 = 0. Give w(u). 4 Let d(h) be the third derivative of 1/3*h**4 + h**3 + 0 - 1/12*h**5 - 1/120*h**6 + 0*h + 213*h**2. Let u be -6 - (1 + -1)/(-2). Calculate d(u). -6 Let w(m) = 2*m - 6. Suppose 4*z + 140 = -4*k, 2*k = -5*z + 6*k - 184. Let g = z - -40. Let y = 10 - g. Determine w(y). 6 Let f(k) = 5*k**2 - 34*k - 7. Let y be 1*-4 - (-91 + 80). What is f(y)? 0 Let g(y) = 5*y - 13. Suppose 6*m + 3*z = 24, 4*z = 2*m - 42 + 64. Determine g(m). -8 Let f = -509617 - -509614. Let s(t) be the first derivative of t - 1/2*t**2 - 1. Calculate s(f). 4 Let t be (890/534)/((5/18)/1). Let p(k) = 15*k - 96. Give p(t). -6 Let x(b) = -b**3 - 14*b**2 - 4*b + 17. Let n(h) = -h**3 + 25*h**2 - 126*h - 14. Let v be n(18). Give x(v). 73 Let n(t) = 2*t**3 + t**2 + 4. Suppose -5*x + 7 = 3*z, 5*z + 41 - 28 = 4*x. Give n(x). 24 Let m(o) = -o**2 + 22. Let a(h) = -1. Let q(l) = 4*a(l) - m(l). Let y be q(6). Let f(n) = -n**3 + 11*n**2 - 9*n - 11. What is f(y)? -1 Let o(w) = w**2 + 7*w + 8. Let p be o(-6). Suppose 0 = -4*b - 5*c + 69, -2 = 3*c - 17. Let d(r) = -p + b - 1 + 4*r - r**2 + 3*r. Calculate d(6). 14 Let l(k) = k**2 - 7*k + 12. Let x be l(5). Suppose 5*d = h + 33, -4*d - x*h + 15 = h. Let i(z) = 6*z - 40. Let o be i(d). Let c(w) = w + 6. Calculate c(o). 2 Let h(v) = -2*v - 11. Suppose 7*c + 115 = 33 - 51. What is h(c)? 27 Let t(i) be the second derivative of -i**5/20 + i**4/3 - i**3 + 3*i**2 - 632*i. Calculate t(2). 2 Let u(q) = -q**2 - 16*q - 2. Let z(a) = a**2 - 55*a - 366. Let y be z(61). Determine u(y). -2 Let c(s) = 3*s + s - 1 + 3*s**2 - 2*s + 0*s. Suppose
{ "pile_set_name": "DM Mathematics" }
((-7)/7 - 6)? -5 Evaluate (-84)/(-1078) - 8/22. -2/7 ((-4)/54)/(-2)*(-62 - -68) 2/9 What is the value of (-18)/117 - (-90)/78? 1 What is (0 - 7/(-14))*8/26? 2/13 12/(-8) - 1/(-2) -1 What is the value of 10/(20/14) - 1? 6 Calculate 65/104*(-2)/5. -1/4 Evaluate (19 + -17)/(12/(-16) + 1). 8 Evaluate 34/(-595) - 246/(-630). 1/3 What is the value of 9 + ((-4)/(-1))/(-2)? 7 Evaluate 18/4 - (2 + 1). 3/2 Calculate 40/48*(-56)/20. -7/3 What is the value of (-20*(-36)/(-90))/((-8)/6)? 6 What is 4/(-5) - (-190)/175? 2/7 What is the value of 49/(-10) - (-17)/(-170)? -5 Evaluate (-6)/(-36)*-4 - (-10)/24. -1/4 What is 256/(-96)*9/12? -2 12/4 + (-2 - 2) -1 What is -5 + -5*(-24)/(-30)? -9 Calculate (-8)/26*1248/192. -2 Calculate (5/2 - 1)*34/(-153). -1/3 (-11 - -8)*(-8)/6 4 What is (-1 - (-35)/10)/(1/2)? 5 Evaluate ((-52)/5)/2 - (-27)/135. -5 What is the value of (4/24*-3)/(3/18)? -3 What is (-72)/54 + 262/42 - 5? -2/21 What is ((-1)/3)/(5/90)? -6 What is the value of (-4)/22 + ((-54)/66 - 4)? -5 Evaluate 1/2 + (-10)/(-60). 2/3 What is the value of ((-144)/(-120))/((-9)/(-15))? 2 Evaluate (-6)/2 + (8 - 0). 5 Evaluate (-38)/(-6) + -2 + (-1)/3. 4 What is the value of ((-255)/45 - -6)/((-2)/(-24))? 4 What is (1*(-4)/4)/(2/18)? -9 What is ((-138)/207)/(1/(-12))? 8 (3 - (-10)/(-4))*0 0 3/(-2)*128/48 -4 2/4 - 9/(-2) 5 What is 2/4*(-66)/55*10? -6 ((-2)/(-3))/((-3)/3) -2/3 Calculate (-8 - 84/(-24))*2. -9 What is the value of 18/36 - (1 - 1)? 1/2 What is (1 - (-22)/(-32))*296/(-740)? -1/8 Calculate 8 + (-2 - -2 - (-5 - -9)). 4 (140/84)/(100/(-8)) -2/15 Calculate (24/7 - 2)*8/20. 4/7 Evaluate ((4/(-18))/(-2))/(12/(-36)). -1/3 What is 20/3*((-147)/(-42) + -5)? -10 What is the value of -40 + 49 - 348/39? 1/13 Evaluate (4/(12/9) - 1) + -1. 1 What is -1*(-10)/(-12) + (-319)/(-174)? 1 2/(-6)*4*171/38 -6 What is (380/36)/(-5) - (0 - 2)? -1/9 Evaluate -4 - (-6)/(-6) - -3. -2 Calculate ((-216)/8)/(-9) - 4. -1 Evaluate -2 - (0 + 2*32/(-20)). 6/5 What is (-1)/((-385)/(-161)) - (-12)/20? 2/11 What is the value of (-225)/36 - (-2)/8? -6 Evaluate 16/(-18)*180/240. -2/3 What is the value of ((-2)/(-20))/((-6)/15)? -1/4 What is 4/(-18) - ((-112)/(-63) + -6)? 4 What is the value of 5*4/5*(-1)/(-10)? 2/5 (-3 + (-10)/(-3))/(6/9) 1/2 What is (18/(-3) - -4)*(19 - 18)? -2 What is the value of 0 + 0 - (6/(-27) + 0)? 2/9 Calculate (-11)/(484/(-8)) + 0. 2/11 Calculate -2*(-7 - ((-22)/4 + -3)). -3 What is (-15)/(-21) + 5/((-35)/(-2))? 1 (72/20)/(-3) - (-4)/5 -2/5 Calculate 96/45 - (1 - -1). 2/15 What is (-2)/(-9) + (-145)/45? -3 Calculate ((-9)/(-2) + -3)/((-414)/(-24)). 2/23 Calculate (-84)/63*6/(-8). 1 Evaluate (15/(-42))/(30/(-24)). 2/7 (-17 - -20)*4/(-60) -1/5 Evaluate (-1 + (-7)/(-15))*3/4. -2/5 (-5 - (-8)/4)*(3 - 4) 3 Calculate (-7)/(-14) + 1 + 2/4. 2 Evaluate (6/7)/(56/(-196)). -3 What is (126/1701)/(1/(-6))? -4/9 Evaluate 326/(-46) - -1 - 16/(-184). -6 Calculate -6 - (23/(-4) - 0). -1/4 Evaluate 10/70 - (-58)/(-14). -4 (-7)/14 - (-7)/2 3 Calculate 64/60 + 18/(-45). 2/3 (-176 - -178) + (-2)/(4/5) -1/2 (0*7/14)/(-1*1) 0 Calculate (-4)/8*11*9/198. -1/4 Evaluate (-2)/(12/18) - -2. -1 Evaluate (-3)/(16 + -7)*0/2. 0 Calculate 19 + -10 + 66/(-9). 5/3 3*2 + -1 + (-21)/7 2 What is ((-25)/125)/(2/50*-1)? 5 What is (4/5)/(4*(-7)/140)? -4 What is the value of ((-9)/(-18))/((-1)/2)? -1 Evaluate 2/(-4)*(1 - (-6)/(-10)). -1/5 What is (8*10/8)/(-2)? -5 Evaluate (-3)/(-5)*115/92. 3/4 What is -1 + 5 - (21/(-2))/(-3)? 1/2 Calculate (0 + 4/14)*(-21)/(-9). 2/3 Calculate (7/(-21))/(((-14)/(-18))/7). -3 What is 6/(-52)*(20/12 - 3)? 2/13 What is the value of (2 + -4)*2/8*2? -1 (2/1 - 1)*(-70)/(-14) 5 1/((-4)/4) + (1 - 4) -4 What is the value of (-8)/18*(60/(-8))/(-5)? -2/3 Calculate 7/2*12/63. 2/3 What is (2 + 15/(-6))*(-3)/(-1)? -3/2 What is the value of 5 + -2 - (-65)/(-20)? -1/4 Calculate (-4)/((-3)/(-2*(-3)/2)). 4 Calculate 2 - ((-63)/(-18) - 3/2). 0 168/(-196)*(-1)/3 2/7 Evaluate 2/(-9) + (-63)/(-162). 1/6 Evaluate -1 - 7 - -4 - -1. -3 Evaluate (0 + -5)*(-3 + (-292)/(-100)). 2/5 Evaluate (8/(-26))/(18 + -20). 2/13 What is the value of 3 + 0 + 1 - (-370)/(-90)? -1/9 56/28 - (-1 + -4) 7 What is 98/20 - (61 - 56)? -1/10 Evaluate ((-3)/4)/(((-252)/(-48))/21). -3 What is the value of ((-10)/14)/(-20 + 864/42)? -5/4 246/(-78) - 57/(-19) -2/13 24/(-18) - 20/30 -2 What is -2*7/42*-9*1? 3 What is (-6)/(-16)*200/25? 3 30/(-24) - 10/(-5) 3/4 What is 61/(-8) + (-48)/128 - 1? -9 Evaluate -5*7/((-315)/(-27)). -3 Calculate 6/(-33) - ((-464)/132 - -3). 1/3 What is the value of 84/28 + (-24)/9 + -1? -2/3 Evaluate ((-48)/64)/((-7)/(-8) + 1). -2/5 Evaluate 2025/324 + 6/8. 7 What is (-1)/(-2) - ((-110)/20 + 6)? 0 What is the value of (-3)/(-2)*(2 - 0/(-5))? 3 What is (1/(-4))/(25/100)? -1 What is (-2)/2*(-7 - (-468)/63)? -3/7 (-12)/18*(-2)/14 2/21 Evaluate (16 + -17)/((-1)/(-2)). -2 What is (-26 - -27)/((-2)/20)? -10 Calculate (-1387)/(-114) + -13 - 82/(-12). 6 11/((-715)/39)*-5 3 Evaluate 2/(((-2)/5)/(4/(-130))). 2/13 Evaluate (33/(-30) - -1)*(-45)/(-18). -1/4 What is 12/2 - (-5 - -7)? 4 What is the value of ((-492)/(-1025))/(8/10)? 3/5 Evaluate 7/14 + (2 - (-12)/(-8)). 1 What is -4 + (-14)/((-1456)/377)? -3/8 What is 10/4*-5*(-12)/(-30)? -5 (0 - -1)*(-6)/(-2) 3 (-202)/20 - -10 - 0 -1/10 Calculate (27 - 25)*(-3)/(-15). 2/5 What is the value of 5/((-180)/(-81))*1/(-6)? -3/8 (744/(-120) - -2*3)/(-1) 1/5 Evaluate 85/(-34)*(0 - (-12)/75). -2/5 What is the value of ((-104)/(-546))/(3/18*-2)? -4/7 What is 7/(-84) - 25/(-12)? 2 Calculate (-96)/(-168) - (-59)/(-42). -5/6 What is the value of 20*(-9)/18 - -3? -7 What is the value of 945/105*1/6? 3/2 Evaluate (-1)/(-2)*(-6)/36*4. -1/3 What is -3*24/(-21) - 3? 3/7 What is the value of (-6 - 4)/(-2) - 42/3? -9 What is (-2 - -1) + 9/(-27) + 1? -1/3 Calculate 3/9 - 336/(-72). 5 What is ((-10)/(-440)*-2)/((-2)/(-8))? -2/11 Calculate (-11)/((-77)/(-28)) + (-2)/(-1). -2 Evaluate 6 - (-6 + 20/2 + -2). 4 (-20)/(-30) - (-34)/(-6) -5 Evaluate (-16)/(-24) + (20/(-24))/5. 1/2 Evaluate -3 + (1215/(-40))/(-9). 3/8 What is (-22)/(-308)*7/(-2)*-1? 1/4 Calculate (68 + -62)*(-2)/(-40). 3/10 10/(-40)*-36 - 8 1 Evaluate 16/(-64) - ((-57)/(-28) + -2). -2/7 What is the value of (-42)/16 + -1 + (-5)/(-8)? -3 What is (-3 - 18/(-24)) + 2? -1/4 What is the value of (24/5)/(144/180)? 6 What is 1380/1863*3/5? 4/9 Evaluate (4/(-6))/1*(-111)/259. 2/7 What is the value of (-3 - -2)*(-4 + (-450)/(-126))? 3/7 Calculate 13 + 13/26*-8. 9 What is ((-60)/(-18))/(-10)*(-18)/21? 2/7 Calculate 0 + 4/14 + 4982/742. 7 What is 72/60*15/(-12)? -3/2 What is the value of 5*(-10)/(-40)*-4? -5 What is the value of (15/(-20))/((-1)/2)? 3/2 Evaluate (-5 - (-21)/6)*-2. 3 What is the value of ((-1)/(-10))/(((-56)/60)/7)? -3/4 Calculate (0 - 0) + ((-4)/14)/(-1). 2/7 What is the value of (-294)/490 + (-46)/(-10)? 4 Evaluate (-2)/(180/21) + (-19)/114. -2/5 2*((-1)/2 - 0) -1 What is (9/(-45))/((-4)/25)? 5/4 (-176)/32 - (-4)/(-8) -6 Evaluate 5/(-1 + -4) - -3. 2 -12*(-4)/16 - 4 -1 Calculate ((-52)/10 - (3 - 7))/(-3). 2/5 Calculate (6/4 - 15/10)/2. 0 What is the value of 39/84 + (-3)/4? -2/7 What is 8/(-52) + 24/(-13)? -2 Calculate 49/7 + -5 + -2. 0 Calculate (4 + -12)*(-4)/(3 + -75). -4/9 5/1 - 11/(-264)*-104 2/3 Evaluate 14/(-63) - (38/(-9) + 1). 3 21/84*(0 + 4) 1 ((-6)/(-28))/(246/(-287)) -1/4 Calculate (-2 - (-75)/63) + (-5)/(-35). -2/3 Calculate 1/2*(40 + -38). 1 Evaluate (-5 + (-5)/(-1))*-1. 0 What is (-18)/81 - (-36)/405? -2/15 5/(-20)*((-8)/4 + 5) -3/4 What is (-1)/(-2 + (-6)/(-6))? 1 Calculate ((-26)/10 - (-3)/5) + 1. -1 5*1 + 42/48*-4 3/2 Evaluate ((-12*16/(-12))/2)/14. 4/7 Calculate (-2)/(-8) + 140/(-112). -1 (12/(-54))/((-10)/(-15)) -1/3 (9/78)/(24/(-32)) -2/13 Calculate 40/(-14) - (-18)/21. -2 Evaluate (-10)/25 + 44/10 + 1. 5 What is (-4)/6 + 2/6? -1/3 Evaluate (-15)/54 - (-7)/14. 2/9 Calculate (-24)/(-144)*(-8)/10. -2/15 152/(-95)*(-10)/4 4 19/(-10) - (-8 - 228/(-30)) -3/2 1 + (-39)/27 - 124/(-36) 3 Evaluate (-2)/((-1)/(-4) - 54/72). 4 What is 3/(3 - (1 - 35/2))? 2/13 What is the value of 8/(-20) - (-2)/5? 0 (-2370)/1530 + (-10)/(-6) 2/17 What is the value of -2 + (1 - 2) + (-13 - -14)? -2 Calculate (-1)/1 + (-14 - -74)/(-12). -6 Evaluate ((-105)/(-70))/(-4*3). -1/8 Evaluate (-14)/(-1008)*-6*2. -1/6 What is the value of (
{ "pile_set_name": "DM Mathematics" }
ding order. c, 3, -41 Suppose 771*m = 2*w + 769*m - 12, -4*w + 8 = -2*m. Put -10, w, -4 in decreasing order. w, -4, -10 Let z(o) = -o**3 + 21*o**2 - 15*o - 98. Let i be z(20). Let n be ((-132)/11 - -14)*(-1)/i. Sort -1/3, 1/2, 0.11, n in decreasing order. 1/2, 0.11, -1/3, n Suppose -5*b = -4 + 9. Let j = -367 + 384.1. Let m = j + -19.1. Sort b, -1/4, m, -6. -6, m, b, -1/4 Let o = -1 - -4. Let w(t) = 2*t - 60. Suppose 5*j - d = 141, -3*d - 99 = -3*j - 6*d. Let n be w(j). Sort n, o, 1 in decreasing order. o, 1, n Suppose -4*j - 29*h = -31*h - 4, 5*j + 4*h + 8 = 0. Put -7, j, 128, 3 in descending order. 128, 3, j, -7 Let p(f) = -8*f**3 + 2*f**2 - 2*f - 2. Let x be p(-1). Suppose -13*w = -11*w - x. Let r(l) = -12*l + 26. Let y be r(6). Sort -4, y, w. y, -4, w Let k = 224 + -382. Let d = k - -473/3. Put 1, 7, -0.2, d in increasing order. d, -0.2, 1, 7 Let g = 4134 - 24805/6. Let u = 3 - 8. Sort -4, g, -0.2, u in decreasing order. g, -0.2, -4, u Let v(f) = -43*f**2 - 183*f - 12. Let z be v(-4). Put 1, -7, z, 6 in decreasing order. z, 6, 1, -7 Suppose -21 = -3*h - 30. Suppose 0 = -3*c + 5*x - 21, 5*c - 3 = 3*x - 22. Put h, 4, 0, c in descending order. 4, 0, c, h Suppose -3*f + 304 = 429*m - 425*m, 0 = 3*m - 21. Sort f, 0.04, -5 in ascending order. -5, 0.04, f Let z = 12.93 - 13. Let y = 0.63 - z. Let v = y - 0.6. Sort 2, v, -2/3 in decreasing order. 2, v, -2/3 Suppose -1291*w + 150 = -1316*w. Put -32, w, 14, -4 in decreasing order. 14, -4, w, -32 Let y be ((-32)/(-10))/((-4)/(-10)). Let j = -1951 + 1955. Put 6, y, j, -1 in increasing order. -1, j, 6, y Let q = 7135 + -7140. Sort q, 5, 2, -3, 4 in increasing order. q, -3, 2, 4, 5 Let g = -805 - -536. Let x = g + 266. Sort x, -5, -11 in descending order. x, -5, -11 Suppose -4*w = 2*r + 16, -30*r = -34*r - w - 11. Let v be -4 + 2 + 0 - -14. Suppose 2*k + v = 5*k. Sort 2, r, k, -1 in descending order. k, 2, -1, r Let r = -56.274 - -56.245. Let w = -29.6 + 26. Let g = 0.4 - w. Put g, 2/7, r in descending order. g, 2/7, r Let j = 5 + -3. Suppose 0 = 4*r + 7*o - 9*o + 6, -4*o = -4*r + 4. Let v be (0/(r/(-4)))/(3 - 5). Sort 0.2, j, 1/7, v in ascending order. v, 1/7, 0.2, j Let b(s) = -s + 6. Let z be b(20). Let u be (-27)/(-21) - z/(-49). Let d = u + -2. Sort 2, 5, d, 0.5 in descending order. 5, 2, 0.5, d Suppose -22 = -2*p + 5*g, 3*g + 6 = 5*p - 11. Let d = -181 - -178. Let c be (d + (3 - 1) - -2) + 2. Put p, c, -4 in decreasing order. c, p, -4 Let r = 34.61 + -34.9. Let a = r - -1.29. Put 2, 20, 2/19, a in decreasing order. 20, 2, a, 2/19 Let w = 0.332 + -0.132. Let l = -103 - -99. Sort l, 0.5, w, 3/7. l, w, 3/7, 0.5 Let n = -3.19 + 3.69. Put n, -2.3, 2/3, -2/43 in increasing order. -2.3, -2/43, n, 2/3 Suppose -4*y + 298 = a, 75*y - 77*y + 16 = 0. Sort -5, a, 4, 0 in descending order. a, 4, 0, -5 Let p = -22721/5 + 4560. Let t = p - 341/20. Let m = 3 - 3.5. Sort 0, t, m in descending order. 0, m, t Let g be (-2 + (-48)/(-14))*((-8575)/50)/(-49). Sort 1/3, 2, g, -0.3, 1.2. -0.3, 1/3, 1.2, 2, g Suppose -5*u + 1 + 14 = -10. Let l = 77 + -391/5. Put l, 1, u in decreasing order. u, 1, l Let a be 2 - 2 - (-1)/4. Let v = 0.03243 - -239.96757. Put a, v, -5 in increasing order. -5, a, v Suppose -4*s - 28 = i, 3*s + 30 = -4*i - 4. Suppose -4*w - 10*b + 12 = -6*b, 9*w - 2*b = 38. Sort s, -1, 1, w in descending order. w, 1, -1, s Let z(j) = j**3 + 120*j**2 + 2070*j + 50. Let r be z(-21). Put 4, r, 2 in descending order. r, 4, 2 Let b = -138.48 - -138.58. Let p be -3 - (98/(-22) - -2). Let s = 25.3 + -27. Put b, p, s in decreasing order. b, p, s Let d(h) = h**3 - 8*h**2 + 21*h - 408. Let g be d(10). Put -33, 3, -2, g in descending order. 3, g, -2, -33 Let k = 40540 - 40541. Sort k, 1, 5, 161, 4. k, 1, 4, 5, 161 Let u = 1125.7 + -1126. Let o = 0.7 + -1.3. Let s = 0.7 + o. Sort s, 0, -2/13, u in ascending order. u, -2/13, 0, s Suppose 0 = -2*k + 5*k - 9. Let u = 37 + -9. Suppose -5*q + 2*s + 2 = 0, 3*q - u + 10 = -3*s. Put q, k, -5 in descending order. k, q, -5 Let q = -1839 + 1843. Sort q, 5, 6 in decreasing order. 6, 5, q Let n be 6 - -3*704/(-360). Sort -48, -9, 0, n in decreasing order. n, 0, -9, -48 Let a = -94.02 - -93. Let c = 1.01 + a. Sort 19, -0.5, c in ascending order. -0.5, c, 19 Let a = -1215.918 - -1216. Sort 0.1, -4, -5, a in decreasing order. 0.1, a, -4, -5 Suppose 1 = -17*k + 35. Let g be ((-2)/4)/(4 - 0). Sort k, 0.4, 22, g. g, 0.4, k, 22 Suppose 13*n - 83 = 34. Put 3, -2, 46, -5, n in ascending order. -5, -2, 3, n, 46 Let r = -0.0416 + 0.1311. Let y = r - -3.9105. Put -0.03, 6, y in descending order. 6, y, -0.03 Let d be (-70)/(-21)*3/2. Let n be 54/(-27)*(1/(-2) + -3). Put n, -1, d in ascending order. -1, d, n Suppose 3*u = -5*s + 64, 5*s - 693 + 677 = 3*u. Sort 5, -322, s in increasing order. -322, 5, s Let i = -16 + 31. Let x = -11 + i. Let t = 1.1 - -4.9. Put x, 0.4, t in increasing order. 0.4, x, t Let z = 16.628 + -20.628. Sort 3, 1/3, z, -0.6, 0.9 in descending order. 3, 0.9, 1/3, -0.6, z Let v be ((-231)/14)/(-3) + 6/(-4). Suppose 3*o + 11 = -y, 2*o - 2*y - 2*y = -12. Put o, v, 2 in ascending order. o, 2, v Let j = 65 - 42. Let m = -4 - j. Let r = m + 28. Sort -1/4, -13, r in decreasing order. r, -1/4, -13 Suppose 1027*p + 168 = 1051*p. Put 1/2, 0, 10, p in decreasing order. 10, p, 1/2, 0 Let j(u) = -u - 4. Let b be j(-5). Suppose t - 5*r = -37, -2*r + 7*r = 4*t + 73. Let y be ((-54)/4)/(-3)*t/18. Put y, b, 5 in increasing order. y, b, 5 Let d = -5533.4 - -5533. Put -3/2, -4, d, 2, -0.2 in decreasing order. 2, -0.2, d, -3/2, -4 Suppose 21*c = c - 100. Let j = 1.484 + 0.016. Let n = 1.6 - j. Put 0.4, c, n, 2/13 in descending order. 0.4, 2/13, n, c Let z(u) = u**2 + 5*u + 1. Let x be z(-4). Let b = -1111 + 1107. Sort 6, x, b in descending order. 6, x, b Let i = -1 - -14. Let m(k) = 84*k + 172. Let x be m(-4). Let b = x + 166. Sort i, b, 5 in ascending order. b, 5, i Suppose 5*v - 95 = 5*d, -3*v + 5153 = 2*d + 5131. Let x(y) = y + 3. Let c be x(-3). Sort 6, d, c. d, c, 6 Let c(y) = 26*y**2 + 17*y - 37. Let a(t) = 9*t**2 + 5*t - 13. Let h(g) = 11*a(g) - 4*c(g). Let l be h(-3). Sort -5, l, 15 in increasing order. -5, l, 15 Suppose -3*w - 6*q + 42 = -9*q, 4*q = -w + 29. Suppose 0 = w*m - 14 - 71. Sort 1/3, -0.1, 3/4, m in decreasing order. m, 3/4, 1/3, -0.1 Let i = -0.4 + 0.1. Let v = -2011 + 2009. Sort -29, v, i. -29, v, i Let k be -5*-21*(-36)/945. Let f(r) = 2*r - 5. Let m be f(5). Suppose 3*l - 2*n + 202 = 83, 92 = -2*l - m*n. Put k, l, 4 in increasing order. l, k, 4 Let d = 18286 - 18297. Put -2/5, d, 0.47, 2 in increasing order. d, -2/5, 0.47, 2 Let j = 36687.5 - 36687. Sort 1.9, -4, j, 0.03, -5. -5, -4, 0.03, j, 1.9 Let w be (-2*1 + 1)*0. Suppose w = -0*x + 2*x. Suppose 10462*s = 10468*s - 12. Sort x, 57, s in ascending order. x, s, 57 Let h = 15.1 + -34.46. Let s = h - -19.4. Sort 2/9, s, 2. s, 2/9, 2 Let b = 61/93 + 1/93. Let s = -31/188 + -1/564. Sort -3/7, b, 0.3, s in decreasing order. b, 0.3, s, -3/7 Let z = -0.79 + -63.71. Let k = 65 + z. Let p be 10 - (0 + -5 + 3). Put 1, k, p in increasing order. k, 1, p Suppose 82*z - 445*z + 1194 = 234*z. Let i = -2.7 + 1.5. Sort z, i, -0.07, -1/2 in decreasing order. z, -0.07, -1/2, i Suppose 6*i - 769 = -583. Suppose -8 = 2*q - 2*x, -5 = -5*q - x - i. Suppose 2*h + 13 = -5. Sort h, q, 1. h, q, 1 Let l be (-12)/20*(-10)/(-4). Let b = -12.754 - -12.254. Sort 3/7, 1.2, l, b. l, b, 3/7, 1.2 Let q(d) = -d**2 - 3*d + 3. Suppose -3*o = 4*v + 21, -5*v - o = 10 + 8. Let z be q(v). Suppose 8*j - 3*j - 23*j = -90. Put 0, z, j, -3 in increasing order. -3, 0, z, j Suppose -5*s - 5*c - 5 = -2*c, 4*c + 2 = -2*s. Suppose u + 3*v - 25 = -2*v, 0 = -4*u + 5*v. Suppose -10*x + u = -15. Put 4, x, -5, s in increasing order. -5, s, x, 4 Let g be ((-1)/3)/((-483)/18). Let d = 2.82476 + 1.17524. Sort -2, g, d. -2, g, d Let b = 10888.01 - 10888. Sort 3, b, -0.07, -3, -5. -5, -3, -0.07, b, 3 Let z(h) = h**2 - 15*h - 13. Let f = 55 + -39. Let w be z(f). Suppose -12 + 21 = -w*i. Sort -4, i, 0 in descending order. 0, i, -4 Let h(b) = 112*b - 447. Let w be h(4). Put 3, w, -4, 0 in ascending order. -4, 0, w, 3 Let d(w) = 98 - 18*w + 3*w - 2*w - 2*w - w + w**2. Let v be d(8). Sort 0, v, -1, -5 in decreasing order. v, 0, -1, -5 Suppose 60*u + 1034 = 22*u - 3982. Sort 4, 26, u
{ "pile_set_name": "DM Mathematics" }
(v*v**(1/22))*(v**8)**(19/5) assuming v is positive. v**(19649/660) Simplify i*i/i**18*i*i**2*(i*i**(2/9))/(i**(-3/7)*i) assuming i is positive. i**(-778/63) Simplify ((t*t**(-2/79)*t)/t**35)/(t*((t*t**(10/7))/t)/t*t)**(-17) assuming t is positive. t**(4568/553) Simplify ((h**(2/35)/h)**(-15/4))**(-1/32) assuming h is positive. h**(-99/896) Simplify i*i**(1/14)*i**9*i**(-4/5)*i/(i/(i*(i/(i/(i**(-1)*i*i)*i))/i)) assuming i is positive. i**(649/70) Simplify p*p**(2/29)*p*p/(p/(p/(p**(-17)*p)*p))*(p*p*p**(-11/3)*p)/p**20 assuming p is positive. p**(-52/87) Simplify m*m**(-1/2)*m**(-9/4)/m*(m/m**(-1/2))**(1/24) assuming m is positive. m**(-43/16) Simplify ((b**9*(b**9/b)/b*b)**(-1/3))**(-20/7) assuming b is positive. b**(340/21) Simplify (v*v**(-4/9)*v**(2/25)/v)/(v*v/(v/v**10))**(-46) assuming v is positive. v**(113768/225) Simplify (n**4*n)**(7/3)/((n/(n/((n*n**5)/n)))/n**(-15/8)) assuming n is positive. n**(115/24) Simplify ((g**(2/3)/g*g)**2/(g**1*g*(g*g/(g**(-1/8)/g))/g))**(-32/7) assuming g is positive. g**(268/21) Simplify (m*m**5*m*(m*m**(3/7)/m)/m*m)/((m*m*m**(-2/19))/((m/((m*m**(-1/10)/m)/m))/m)) assuming m is positive. m**(8823/1330) Simplify (x*x**(-2)/x)**22/((((x*(x/(x*x**(2/3)/x*x))/x)/x)/x)/(x*x**(-1/3)/x*x)) assuming x is positive. x**(-122/3) Simplify (f**(10/3)*f*f/(f/f**(-21)))/((f/(f**7/f))/f**9) assuming f is positive. f**(-8/3) Simplify (p*p/(p*p**(2/7)*p)*p/p**(4/13))/((p**(8/9)/p)/(p/p**(-1/3))) assuming p is positive. p**(1516/819) Simplify r/r**(2/85)*r**(1/25)*r**(-1/3)/r*(r*r**(2/79))/r*r*r*r assuming r is positive. r**(272809/100725) Simplify (s**(1/5)*s*s)**(1/66)*(s**(-8)*s)/s**(-22) assuming s is positive. s**(451/30) Simplify (((g*g*g**(2/21)/g)/g)/g)**(-15/8)*(g**(-1/7))**35 assuming g is positive. g**(-185/56) Simplify ((b**0*b)**27*b*b**(-1/8)*b**(2/3)/b)**(-41) assuming b is positive. b**(-27101/24) Simplify ((g*g**10*g*g)/g**3)/((g**(15/2)*g)/g*g**(-6/5)) assuming g is positive. g**(37/10) Simplify x*x*x**1/x*x*x*x*x*x*x**10*x*(x**(2/27)*x)/(((x**(-2/31)*x)/x)/x) assuming x is positive. x**(16856/837) Simplify l**(-13)/(l**(-10)*l)*l*l**(-15)*l**13/l assuming l is positive. l**(-6) Simplify p*p**(-4)*p/(p*p**(4/3))*(p/p**(18/5))/p**(-10/13) assuming p is positive. p**(-1202/195) Simplify (a*a**2*a**(-36)*a*a)**(-1/4) assuming a is positive. a**(31/4) Simplify (i**4*(i**(6/7)*i*i)/i*i**(-2)*i**(-9))**10 assuming i is positive. i**(-360/7) Simplify (i*i**(2/5)/i)**(3/7)*(i**(-3/7)*i)**(-4/17) assuming i is positive. i**(22/595) Simplify (r/(r*r*r**39)*r**(-1/2))**(-43) assuming r is positive. r**(3483/2) Simplify (((((k/(k/(k/k**(-2/33))*k))/k*k)/k)/k)/(k*k**(4/21)*k*k))/(k/(k/k**(-2/5)*k))**10 assuming k is positive. k**(683/77) Simplify q*(q**(1/15)/q*q)/q*q*q**(1/7)*q**(-2)/q**5 assuming q is positive. q**(-608/105) Simplify (v*v**(-2))**(-5/9)/((v*v*v**(-2/21)*v)/((v**(15/7)*v)/v)) assuming v is positive. v**(-13/63) Simplify f/f**(-8/5)*f**(18/11)*f**(-7/2)*f**(-10/7) assuming f is positive. f**(-533/770) Simplify (w**(-6/19)/((w**(-2/31)*w)/w))/((w*w/w**1)/(((w/(w*w*w**30/w*w))/w)/w)) assuming w is positive. w**(-20174/589) Simplify (n/((n/(n/(n/n**(11/4))*n))/n)*n/(n/(n/(n/n**(-8)))))/(n*n**(-1/23)*n*n*n*(n**(-1/12)/n)/n) assuming n is positive. n**(-707/138) Simplify ((c**(1/24)/(c/c**(-18)))**(-35))**5 assuming c is positive. c**(79625/24) Simplify (((n/(n/(n*n*(n*n**(2/9))/n))*n)/(n*n/n**11*n))**(-1/14))**30 assuming n is positive. n**(-505/21) Simplify (d**(-24))**(-23)*(d*d**(-20)/d)**(-2/67) assuming d is positive. d**(37024/67) Simplify (((z/(z/(z*z**(1/8)*z)*z*z*z)*z)/z)/z*z/(z*(z**(-25)/z)/z*z))**(3/26) assuming z is positive. z**(579/208) Simplify (p**(1/2)/p**7)**28 assuming p is positive. p**(-182) Simplify (t*t/(t*t**0*t)*t*t*t*t**(-10)*(t/(t/(t/(t/t**0))*t))**(-2/29))**(-43) assuming t is positive. t**(8643/29) Simplify r**18/r*r/(r*r**(2/19)/r)*r**12*r/r**(-3/7) assuming r is positive. r**(4166/133) Simplify (((k*k**(-3))/k*(k**0*k)/k)**(-2/21))**(-38) assuming k is positive. k**(-76/7) Simplify ((i/(i*i**(-27)*i*i))/i)/(i*i**(2/7))*i**(3/8)/(i**(1/2)/i) assuming i is positive. i**(1321/56) Simplify ((v*v**(-4/3)*v*v)/v**0)/(v**(-4)*v**(-5)*v) assuming v is positive. v**(29/3) Simplify (p/(p/(p/p**(-14)))*p*p**19*p*p)/(p**(7/4))**(4/5) assuming p is positive. p**(178/5) Simplify (q**4*q**(-9/5))/(q**(-3))**4 assuming q is positive. q**(71/5) Simplify (((p/(p/(p/p**(1/5))))**(1/39))**(-45))**(-3/29) assuming p is positive. p**(36/377) Simplify (x/x**(-1/31))/x*x*x**(10/7)*x*x**(-2/11)*x*x*(x*x**(-3/5)*x)/x*x assuming x is positive. x**(79714/11935) Simplify (q**(-3/7)/(q*q/(q/q**17)))/((q*q/q**(2/31))/(q**(-3/2)/q)) assuming q is positive. q**(-9923/434) Simplify (((n/((n/n**(-1/3)*n)/n))/n)**(2/39))**36 assuming n is positive. n**(-32/13) Simplify (z*z**(1/3))**8*z*z/(z*z**(-3/2))*z*z**(-2/17) assuming z is positive. z**(1433/102) Simplify ((f/f**(-3/8)*f*f**2)**(2/23))**14 assuming f is positive. f**(245/46) Simplify (j/((j*j*(j**(-2/45)*j)/j*j)/j)*j**(2/25)*j)**(2/21) assuming j is positive. j**(8/675) Simplify (((z*z*z/(z*z**(-2/21))*z)**(-12))**(-22))**40 assuming z is positive. z**(228800/7) Simplify (((d/(d/(d**(-3/4)/d)))/(d**(16/7)*d))**(2/39))**(1/19) assuming d is positive. d**(-47/3458) Simplify ((x/(x*x**(-1/5)/x))/(x**(7/2)*x))/(x**(-4/9)/(x/(((x/x**(-6))/x)/x))) assuming x is positive. x**(-617/90) Simplify (l/l**(-1/3)*l**(-8/7))/(l**(4/9))**(-2/17) assuming l is positive. l**(260/1071) Simplify ((y*y*y*y**10*y*y/(y*y*y**4)*y*y)/(y**(2/3))**4)**0 assuming y is positive. 1 Simplify ((p/(p/(p*p**(3/4)/p*p))*p**(5/2)/p)**(-33))**14 assuming p is positive. p**(-3003/2) Simplify (m**(-5/2))**(1/3)*m**(-40)*m*m*m*m*m/(m*m**(-24))*m assuming m is positive. m**(-71/6) Simplify ((z**(-1/2)*z**(-9)*z*z)**(-31))**(-3/4) assuming z is positive. z**(-1395/8) Simplify (o*o**(-2/3)*o*o/(o*o**8*o))/((o*o*o/o**(-14)*o)/(o/o**(-15))) assuming o is positive. o**(-29/3) Simplify ((m/(m**(-8)/m)*m)/(m/(m**(-1/36)*m)))/(m**(-9/7)/m*m*m**3) assuming m is positive. m**(2333/252) Simplify ((d*d**(-1/3)*d)**20*(d*d*d*d**(-1/5)*d*d)/(d/d**(-13)))**49 assuming d is positive. d**(17738/15) Simplify ((c/(((c/(c**(-2/5)*c))/c*c)/c))**18/(c**10*c/(c/(c*c**(-2/11)))))**(-5/9) assuming c is positive. c**(-989/99) Simplify ((((m**10*m)/m)/(m*m**(-3)))/((m**(1/21)/m)/(m/m**0)))**39 assuming m is positive. m**(3809/7) Simplify (o**1)**(-1/4)*(o/(o**(-5)*o))**(-50) assuming o is positive. o**(-1001/4) Simplify m**(1/4)/m**(1/2)*(m**(-1/2))**(-1/5) assuming m is positive. m**(-3/20) Simplify (u**19/(u/((u**(-5)/u*u*u)/u)))/(u**(2/7)/u*u)**46 assuming u is positive. u**(-1/7) Simplify (m/(m/(m**4/m)))**(-44)*(m/(m*m**(2/5)))**(-4/29) assuming m is positive. m**(-19132/145) Simplify (w**(-1/5)/(w*w**(1/8)))/(w**5/w**(-5/4)) assuming w is positive. w**(-303/40) Simplify r*r**(-1/3)/r*r**12*r**(5/4)*r**(-16)/r assuming r is positive. r**(-49/12) Simplify (((w/((w*(w/((w/(w**7/w))/w)*w)/w*w)/w*w))/w)/w*w)/(w/(w**(-12)*w))*(((w**(1/4)/w)/w)/w)**(-42) assuming w is positive. w**(189/2) Simplify ((w/w**(-2))/w)/w*(w/(w/(w**6/w)))/w*(w**16)**(-1/11) assuming w is positive. w**(39/11) Simplify ((t*t*t**23)/t**(15/7))**0 assuming t is positive. 1 Simplify ((w*w**(1/3)*w)/(w*w**(-2)/w))/(w**(-4/17)*w/w**(-5/2)) assuming w is positive. w**(109/102) Simplify ((k/(k**(1/3)*k))**(-14)/((k**(-2/9)*k)/k)**(12/7))**20 assuming k is positive. k**(2120/21) Simplify (a**(-2/9)/a)**(3/37)/(a**(-2/11))**23 assuming a is positive. a**(4985/1221) Simplify (w**(-1)/w*w*w**12)/((w/w**(-1/13)*w*w*w*w)/w*(w*w/(w*w*w*w**16/w)*w*w)/w*w) assuming w is positive. w**(272/13) Simplify o**(-1)/(o**5/o)*o**(2/17)/o**15 assuming o is positive. o**(-338/17) Simplify ((t*t**(-2/117))/(t*(t/(t**(5/4)*t))/t*t))**(1/23) assuming t is positive. t**(577/10764) Simplify (k**(-2/7)*k**(-2/9))/(k*k/(k/k**(3/4))*k*k*k**(-9)/k) assuming k is positive. k**(1447/252) Simplify (c/(c*c/c**(-10))*c*c*c*c*c/c**(4/5)*(c*c**1)**(-3/20))**25 assuming c is positive. c**(-355/2) Simplify (f*f**(-26)*f*f)/f*f/f**(9/7)*(f**2)**(-1/11) assuming f is positive. f**(-1884/77) Simplify (m**(2/13)*m*m)**(-22/7)*m**(1/21)*(m/m**15)/m assuming m is positive. m**(-5930/273) Simpl
{ "pile_set_name": "DM Mathematics" }
d smallest value? (a) g (b) u (c) -2/11 a Let g = -13.87 - -13.1. Let s = g + 6.77. What is the second biggest value in -5, 0.1, s? 0.1 Let q be (-1900)/399 + 2/3. Let w = 24/7 + q. What is the second smallest value in 0.2, 5, w? 0.2 Let o = -151 + 211. Suppose -9*u + o - 15 = 0. Which is the smallest value? (a) 0 (b) -0.3 (c) u b Let j = -0.1047 + -0.9953. Let u = -0.2 - -0.2. Let d = 0.1 + u. Which is the third biggest value? (a) j (b) 0.2 (c) d a Let a = -11.3 - -11. Let c(p) = p**3 + p**2 + p + 20. Let h be c(0). Suppose u - h = 3*u + 5*s, 5*u + 2*s = -29. What is the second biggest value in u, -0.2, a? a Let c = 1618 - 1617.4. Let y = 8 + -4. What is the smallest value in y, c, -3? -3 Let b be -4 + (27/6)/1. Let s = -0.06 - -0.06. What is the smallest value in -2/5, b, s? -2/5 Let u be -3 + (-65)/(-20)*4. Let x be 2/4 - (2 + u/(-4)). Which is the third biggest value? (a) 2/19 (b) -2 (c) x b Let f = -596 + 624.1. Let m = 28 - f. Let x(w) = -w**3 - 5*w**2 + w + 7. Let s be x(-5). Which is the smallest value? (a) -3 (b) s (c) m a Let q = -2 + 5. Let f = 130 + -2472/19. What is the biggest value in q, f, 19? 19 Let g = 551 - 545.98. Let z = g - 0.02. Which is the second smallest value? (a) 0 (b) -5 (c) z a Let y be (-13 - (-1 - 4)) + 6. What is the smallest value in 38, y, -2/13? y Let t(x) = x**3 + 16*x**2 + x + 20. Let v be t(-16). Suppose 5*f - 2*s = 1, -3*f = f + v*s - 12. Let c = -4.1 + 0.1. What is the smallest value in f, c, 15? c Let l = -1/10 + 3/5. Suppose 5*a - 4*y - 22 = 0, -a = -5*y - 9 - 8. What is the smallest value in 5, l, a? l Let g = -1005 - -11053/11. Which is the third biggest value? (a) -0.1 (b) g (c) 6/7 b Let r(p) = -p**2 - 3*p + 13. Let k be r(6). Let g = k + 36. What is the second biggest value in 1/7, -1, g? -1 Let u = 86.138 + -86. Let z = -0.038 + u. Suppose 3*a + 1 = -8. What is the third smallest value in z, -0.06, a? z Let w = 1 + -0.8. Let k = -416.3 + 416. Which is the fourth biggest value? (a) k (b) -0.4 (c) -1 (d) w c Let h = 26/7 + -71/21. Let u = 20.685 - -0.315. What is the smallest value in -4, u, h? -4 Let d = -15 + -12. Let t = d + 28. Let q = -1 + 1.5. Which is the smallest value? (a) t (b) 0 (c) q b Suppose 2*w - 1 = 3. Let y = 67 + -66.5. What is the second biggest value in w, 3, y? w Let a = 0.3164 + -0.0164. What is the third biggest value in 0, a, -21? -21 Let r be 4 - 12/((-16)/(-4)). Let x(z) = z - 9 + r - 3*z**2 - 2*z**2 + z**3. Let l be x(5). What is the biggest value in 2, -4, l? 2 Let a = 3 + -4. Let p = -0.043 + 5.043. Let r = -8 + p. What is the second biggest value in 2/7, a, r? a Suppose 3*x = -x + 16. Let d = -166 + 165.545. Let z = d + 0.055. Which is the third smallest value? (a) z (b) -5 (c) x c Let m = -708/1603 - -3/229. Let l = -1.3 - -1. Let v = -0.5 - l. Which is the third smallest value? (a) 1/3 (b) v (c) m a Let r = -9.9 - -21.3. Let v = 11.5 - r. What is the third smallest value in v, -0.5, -3, 2/7? v Let d = 152 + -225. Let s = 70 + d. What is the third biggest value in -4, -2, s? -4 Let v = 12 + -11. Let r = 1.2 - v. Let x = -0.5 + r. Which is the third biggest value? (a) x (b) -2/9 (c) 0.2 a Let y be (10/(-14))/1 - (-4)/14. Which is the fourth smallest value? (a) 0.1 (b) 0.03 (c) -4 (d) y a Let p = -128 + 93. Let i = p - -34.99. Which is the second biggest value? (a) i (b) 0.2 (c) -2/7 (d) -4 a Let d = 18 + -13. Suppose 5*n - 12 = -v, 2*n - 17 = 2*v - d. Let t = -3 + 0. Which is the third smallest value? (a) -9 (b) t (c) n c Let o be (-20)/(-9) + -2 + (-100)/288. Let d = -5 + 5.1. Suppose -5*n - 16 = 9. Which is the second biggest value? (a) o (b) d (c) n a Let k = 12.6 - 13.1. Let s = 6 - 5. Which is the second smallest value? (a) -0.4 (b) s (c) k a Let r = 33 - 28. Let s = r - 1. What is the biggest value in 1/6, s, 2/3? s Let x = 515 + -516. Let q = -0.06 + -1.94. Let f = 5.3 - 0.3. What is the smallest value in q, x, f? q Let f be (-5 - -2)*(-2)/(-10). Which is the third smallest value? (a) f (b) 1/8 (c) -12.5 b Let i be (-649)/308 - (4/2)/(-1). What is the biggest value in 0.4, -3, i, 0.3? 0.4 Suppose -2 - 2 = -2*k. Suppose 5*r - 9*r = 0. Suppose s - 1 = -r. What is the second biggest value in s, k, -4? s Let o = 9 - 5. Let h be (14/(-3))/1*(-114)/931. What is the third smallest value in h, o, -7, 1? 1 Let y = 4.851 - -0.149. What is the smallest value in -0.3, 0.1, 0, y? -0.3 Suppose -2*p = 2*g + 18, -43 = 4*g + g + 3*p. Let s = g - -9. Let x = -9.1 - -9. Which is the third smallest value? (a) s (b) -2 (c) x a Let z be 1/1 - 9*8/120. Which is the second smallest value? (a) -16 (b) 0.2 (c) z b Let y = -6.023 - -0.123. Let x = -6 - y. What is the third biggest value in x, 0.03, 0.1? x Let k be (9/(63/(-14)))/(0 - 19). What is the third smallest value in 1, 387, k? 387 Suppose 5*o = -10, 2*m + 2*o + 24 = 7*m. What is the second smallest value in -1/5, 3, m, -2? -1/5 Let d(u) = u - 11. Let p be d(8). Let q be (-16)/8 - (-78)/14. Let y = q + -85/14. Which is the second biggest value? (a) -0.1 (b) p (c) y c Let x be 2 - ((5 - -1) + -1). What is the smallest value in 2, 19, x? x Let m = 101722099/909135 + 2/303045. Let g = m - 112. Which is the third smallest value? (a) 2/5 (b) 1/3 (c) g a Let w = -16 + 7. Let x = 9.07 + w. Let n(k) = 2*k - 11. Let q be n(8). Which is the biggest value? (a) x (b) -0.5 (c) q c Let k = -71.5 + 66.5. What is the third biggest value in -0.4, -1, k, 3/2? -1 Let z = 739.5 + -740. Which is the third biggest value? (a) z (b) -2 (c) 7/5 b Let k = -7873/15 - -525. Let r = 18.2 + -18. Which is the smallest value? (a) -0.5 (b) r (c) k a Suppose -5*v - 27 = -3*d - 8*v, 2*v - 23 = -3*d. Let b be ((-4)/(-56))/((-2)/(-8)). What is the third biggest value in b, d, -3/7? -3/7 Let x = 78.19 + -78. Let i = -0.39 + x. Which is the fourth smallest value? (a) 4/5 (b) -3/4 (c) i (d) -1 a Let d be (-4 - 1) + 138/150*5. Let p = 0.2 + 3.8. What is the third smallest value in p, d, -1/11? p Let d be 9751/(-14)*(-2)/13*-1. Suppose 112 = -q - 5*c, 2*c = q - 2*c + 103. Let g = q - d. What is the second biggest value in 0, -4, g? 0 Let y = -3.0141 - -0.0141. What is the third smallest value in y, -48, 0.5? 0.5 Let p = -56.55 + 57. Let b = -0.45 - p. What is the third biggest value in b, 2/3, -1/2? b Let j = 7/29 - 173/957. What is the second smallest value in j, -4, 7? j Let v = -1 + 1.2. Let z = -2.9872 + -0.0128. What is the second biggest value in z, -2, v? -2 Let u = 210 + -109. Let q = 101.3 - u. Which is the third biggest value? (a) q (b) -0.4 (c) 0 b Let y = -0.27 - -3.87. Let w = 8.6 - y. What is the second smallest value in w, -0.15, -4? -0.15 Let q = -237/2408 - -5/43. Which is the third smallest value? (a) 1/3 (b) q (c) -1 a Let y = 24 + -34. Let i be 2/y + 1/(-5). Let m = 1/15 + i. Which is the smallest value? (a) m (b) -1 (c) 5 b Let y be -1*-2*(-3)/108. Let r = y - 13/9. What is the biggest value in 0.1, r, -0.02? 0.1 Let x = 7.49 + -7.79. Which is the second smallest value? (a) 62 (b) 5 (c) x b Let s = 51 - 51.07. Let i = -13.93 + s. Which is the fourth smallest value? (a) -5 (b) i (c) -0.3 (d) 3 d Suppose -5*h = -0*h - 15. Let q be (5/(-15))/((-2)/(-4)). Which is the biggest value? (a) 0.2 (b) q (c) h c Let v(s) = -2*s - 6. Let z be v(-5). Let w = 8/21 - 10/63. Which is the second biggest value? (a) w (b) z (c) 0.26 c Let g(y) = -2*y**2 + 12*y + 10. Let v be g(12). Let k = 397/3 + v. Which is the second smallest value? (a) k (b) -5 (c) -0.2 a Let n = -30.7 + 31. Let i = 3.1 - 4.5. Which is the third biggest value? (a) i (b) n (c) 3 a Let s be (0 + 0 - -4) + -3. Suppose -5*i - 94 = -5*y - 8*i, -42 = -2*y + i. What is the biggest value in -0.5, y, s? y Let i be 1208/72 - 7 - 10. Which is the third smallest value? (a) 6 (b) -1 (c) i (d) 0.4 d Let w = -251 + 255. What is the fourth smallest value in w, -1.1, 1/4, 1/5? w Suppose -3*u + 3*k - 1 - 11 = 0, -5*k = 5. Let f be ((-1)/244*2)/((-76)/(-938)). Let i = -1/244 + f. Which is the third biggest value? (a) i (b) -3 (c) u c Let l = -29.7 + 30.1. What is the second biggest value in -3, -1/6, l? -1/6 Let q = -10.2 - -0.2. Let k = q + 14. Let j = 10.62 - 12.62. What is the second biggest valu
{ "pile_set_name": "DM Mathematics" }
+ -10. Calculate the remainder when 38 is divided by (3 + -3 - q) + 18. 10 Calculate the remainder when (-24)/(-9) + 2/(-3) + 21 is divided by 8. 7 Let i = -16 - -42. Calculate the remainder when 72 is divided by i. 20 Let x = 70 - 56. What is the remainder when 83 is divided by x? 13 Let y(t) = -t**3 + t**2 - t - 24. Let z be y(0). Let m be ((-3)/6)/(3/z). Suppose -p + m*p - 138 = 0. Calculate the remainder when p is divided by 12. 10 Suppose 83 = 3*n + 4*q, -3*n - q = -2*q - 58. Suppose 4*h - 60 = -h. What is the remainder when n is divided by h? 9 Let b = -52 - -79. What is the remainder when b is divided by 6? 3 Suppose 4*z + 10 = -z. Let m = -5 - -3. What is the remainder when (-62 - m)*z/4 is divided by 16? 14 Let n(g) = -g**3 - 9*g**2 - 9*g + 10. Calculate the remainder when n(-8) is divided by 2. 0 Let u(t) = -18*t - 1. Let x be u(-1). Let j = -8 + x. Let d = 15 - j. Calculate the remainder when 23 is divided by d. 5 Let q(b) = 47*b**2 - b. Calculate the remainder when q(-1) is divided by 13. 9 Suppose 81 = 2*t + 19. Suppose -129 = -5*b + t. Let c(r) = -r**3 - 2*r**2 + 2. Calculate the remainder when b is divided by c(-3). 10 Let s be ((-1)/(3/6))/(-1). Suppose 98 = 5*w + 3*p, 4 = s*p - 3*p. What is the remainder when w is divided by 12? 10 Let l(f) = -f**3 + f**2 - 2*f + 1. Let r(g) = g + 2. Let h be r(-5). What is the remainder when l(h) is divided by 15? 13 Let u(j) be the first derivative of j**4/2 + j**3/3 + j**2/2 - 2*j - 3. Calculate the remainder when 57 is divided by u(2). 17 Let h(d) = d**3 + d**2 - 35. Let u be h(0). Let t be u/(-4) - (-2)/8. Suppose t = k + 1. What is the remainder when 15 is divided by k? 7 Let y(o) = 2*o**2 - 12*o + 5. Calculate the remainder when y(8) is divided by 20. 17 Let l(i) = i**2 + 3*i - 12. Let v be l(-5). Calculate the remainder when (-95)/v - 3/(-6) is divided by 13. 9 What is the remainder when 103 + 0 + (-3 - -2) is divided by 26? 24 Suppose -7*l + 80 = -3*l. Let z be 8/(-6)*3/(-2). Suppose -z = 4*k - 30. Calculate the remainder when l is divided by k. 6 Suppose 2*y + 18 = 5*y. Let s(p) = p + 3. What is the remainder when 35 is divided by s(y)? 8 What is the remainder when 44 is divided by (1 - 2) + (-192)/(-8)? 21 Let d = 48 + -40. What is the remainder when 23 is divided by d? 7 Suppose 29 = -21*j + 22*j. What is the remainder when j is divided by 17? 12 Suppose 14 = 7*y - 5*y. What is the remainder when 11 is divided by y? 4 What is the remainder when 72 is divided by (-1)/(-2) - 1 - (-616)/16? 34 What is the remainder when 9 is divided by (((-6)/(-4))/(-3))/((-20)/240)? 3 Suppose -5*x = 35 - 50. Suppose -k = -0*q + 2*q - 6, -2*q = 4*k - 30. Calculate the remainder when k is divided by x. 2 Suppose 4*b - b = 21. Let m(k) = -k - 3. Let f be m(-3). Suppose q - 2*n - 2*n - 6 = f, q - n = 3. Calculate the remainder when b is divided by q. 1 Suppose h = 13 - 1. Let o = -5 + 7. Suppose 30 = o*v - 14. Calculate the remainder when v is divided by h. 10 Suppose -3*m + c = -240, 2*c + 30 + 207 = 3*m. Suppose -3*d + 3*n + 0*n + 51 = 0, 0 = 5*d - 3*n - m. Calculate the remainder when 27 is divided by d. 12 Let r = 12 - -33. What is the remainder when (-3)/6 + r/6 is divided by 3? 1 Let g be 2 + -1 + -1 + 0. Suppose 5*q = -3*u - u + 164, 5*u - 205 = -4*q. Suppose g = -3*j + 55 + u. What is the remainder when j is divided by 11? 10 Let y = -4 + 9. Suppose 2*w - 23 = y. What is the remainder when w is divided by 5? 4 Suppose 2*f + 0*f = 18. Calculate the remainder when f is divided by 6. 3 Suppose 0 = 2*q - 12 - 8. Calculate the remainder when 12 is divided by q. 2 Let x(y) = y + 7. Calculate the remainder when 15 is divided by x(-3). 3 Suppose -10*t + 53 = -7. What is the remainder when 26 is divided by t? 2 Let f(j) = j**2 - j. What is the remainder when 78 is divided by f(5)? 18 Suppose -2*i = -47 + 11. Suppose 0 = -u - 2*u. Suppose -5*k + k + 8 = 0, 2*j - 3*k - 14 = u. Calculate the remainder when i is divided by j. 8 Suppose -3*k + 9 = -0*k. Suppose 0*m - 108 = -k*m. Suppose -3*h = h - m. What is the remainder when 17 is divided by h? 8 Suppose 3*d + 5*l = -2*d + 55, 0 = 3*d - 2*l - 13. What is the remainder when 12 is divided by d? 5 Let f be (-3 - -2)*(-1 + 2). Calculate the remainder when 3 is divided by f/(-2 + 6/4). 1 Let a(w) = w**3 + w**2 + 2*w + 48. Let p = -4 - -21. Calculate the remainder when a(0) is divided by p. 14 Suppose -10 + 34 = t. Let w = 67 - t. Calculate the remainder when w is divided by 15. 13 Suppose -3*c = -2*q - 3*q + 73, -4*c = 4. Let w be 984/20 + (-2)/10. Suppose -u + w = s + s, -u - 3*s = -53. Calculate the remainder when u is divided by q. 13 Let g(n) = 2*n**2. Calculate the remainder when g(-5) is divided by 17. 16 Suppose -39 = -h + 3*m + m, -5*h + 90 = m. What is the remainder when 49 is divided by 5 - 6 - (1 - h)? 15 Suppose 0 = 4*w - 0*w - 36. Let c(x) be the second derivative of x**5/20 - 2*x**4/3 - 4*x**3/3 - 2*x**2 - 24*x. What is the remainder when c(w) is divided by 2? 1 Suppose 3*v + 17 = 4*b - 6, -3*b = v - 14. Suppose 0 = 3*g - 9, -3 - 7 = 5*t - b*g. Calculate the remainder when 2 is divided by t. 0 Suppose 5*d - 132 = -12. What is the remainder when d is divided by 13? 11 Let c be (-6)/(-4)*(-8)/6. Let x = 34 + c. What is the remainder when x is divided by 11? 10 Suppose -4*w + 5*m + 27 = -3*w, 55 = 5*w - 5*m. Let x = -423 + 441. Calculate the remainder when x is divided by w. 4 Suppose 3*r = 32 + 34. Let g(m) = 4*m**3 - m**2 - m. Let q be g(-1). What is the remainder when r is divided by q/(-2*2)*12? 10 Let z(q) = q**2 + 2*q + 1. Let g be z(-1). Suppose l - x - 25 = 0, 5*l - 4*x - 130 = -g*x. Calculate the remainder when (2/(-3))/(-2)*l is divided by 3. 1 Let h = -15 + 45. Calculate the remainder when h is divided by 11. 8 Let v = -2 - -2. Suppose -2*p + 17 - 3 = v. Suppose -15 = -2*l + p. Calculate the remainder when 21 is divided by l. 10 Suppose -4*q + 4 = 2*s, -5*q + s = 1 + 1. Let d(u) = q*u - 3 - u**2 + 3*u + 3*u + 5. Calculate the remainder when 18 is divided by d(4). 8 Let b = 2 - -32. Calculate the remainder when 133 is divided by b. 31 Let w(s) = -s**2 - 11*s + 33. What is the remainder when 122 is divided by w(-12)? 17 Suppose -3*j + j = -136. Suppose -72 - j = -2*x. What is the remainder when x is divided by 18? 16 Suppose 4*a - 10 - 2 = 0. Calculate the remainder when 2/2 + 4 + -2 is divided by a. 0 Suppose -2*t + 66 = t. Let c(o) be the first derivative of -3*o**2/2 - o - 3. Calculate the remainder when t is divided by c(-3). 6 Let r(d) = 5*d - 18. What is the remainder when 41 is divided by r(8)? 19 Suppose -47 = -4*s - 23. What is the remainder when 11 is divided by s? 5 Let w(p) = 3*p**2 - 3*p + 2. Let f be w(2). Let c = f + 12. What is the remainder when 59 is divided by c? 19 Let f(u) = 4*u**2 - 1. Let v be f(-2). Let b = -5 + v. Calculate the remainder when b is divided by 6. 4 Let c = -6 - -16. Let i(j) = -j**2 - 11*j + 16. Let u be i(-12). Suppose -3*f + u*x = -32, -4*f + 3*x = f - 35. Calculate the remainder when c is divided by f. 2 What is the remainder when 27 is divided by 14 - (-3)/(-4 + 7)? 12 Let g = 3 + 0. Suppose -y = g, 2*w = w + 4*y + 22. What is the remainder when 17 is divided by w? 7 Suppose -3*y + 221 = 71. Calculate the remainder when 248 is divided by y. 48 Let c = 35 + -25. Calculate the remainder when 38 is divided by c. 8 Let l = 59 + -42. Suppose -4*z - l = -5*p, 1 = -3*z + 7. Calculate the remainder when 7 is divided by p. 2 Suppose -s + 26 = s. Calculate the remainder when 37 is divided by s. 11 Let a = 74 + -46. What is the remainder when a is divided by 15? 13 Suppose t = v - 15 - 6, -3*v - 3*t = -69. What is the remainder when v is divided by 13? 9 Let t(o) = -o**2 - 2. Let l be t(0). Calculate the remainder when 5 is divided by (l/(-5))/(4/20). 1 Suppose -4*u + 8 = -0*u. Suppose 4*l + 0*l + 23 = q, 0 = -u*q - 2*l + 26. What is the remainder when q is divided by 8? 7 Let j be 10*-3*(-3 - 1). Suppose 2*l - 62 = -2*n, -5*l + 127 = -3*n + 7*n. What is the remainder when n is divided by ((-2)/(-6))/(4/j)? 8 Suppose -27 = -f - 2. What is the remainder when f is divided by 11 + (-1)/(-1) + 1? 12 What is the remainder when 69 is divided by (2/6)/((-16)/(-864))? 15 Suppose 2*t = 2*g + 2, 2*g = 4*g - 4*t - 8.
{ "pile_set_name": "DM Mathematics" }
rm of -2495, -10017, -22557, -40115, -62691, -90285? -2509*k**2 + 5*k + 9 What is the h'th term of 585520, 585519, 585518, 585517? -h + 585521 What is the j'th term of 23, 22, -35, -178, -437, -842? -5*j**3 + 2*j**2 + 28*j - 2 What is the b'th term of 90, 100, 146, 246, 418, 680, 1050? 3*b**3 - 11*b + 98 What is the s'th term of -3853, -3961, -4057, -4135, -4189, -4213? s**3 - 115*s - 3739 What is the x'th term of 14613894, 14613893, 14613892, 14613891, 14613890? -x + 14613895 What is the j'th term of -14994, -15000, -15006, -15012, -15018, -15024? -6*j - 14988 What is the g'th term of 85246, 170493, 255740, 340987? 85247*g - 1 What is the w'th term of 4566, 9158, 13800, 18516, 23330, 28266, 33348? 4*w**3 + w**2 + 4561*w What is the k'th term of -365, -542, -517, -284, 163, 830? k**3 + 95*k**2 - 469*k + 8 What is the t'th term of 9123, 18249, 27375? 9126*t - 3 What is the g'th term of 283, 379, 489, 619, 775, 963, 1189? g**3 + g**2 + 86*g + 195 What is the p'th term of -66532, -66534, -66536, -66538? -2*p - 66530 What is the t'th term of 657, 1081, 1505, 1929, 2353? 424*t + 233 What is the z'th term of -6571, -13082, -19591, -26098? z**2 - 6514*z - 58 What is the l'th term of 13840, 27696, 41578, 55498, 69468, 83500, 97606? 2*l**3 + l**2 + 13839*l - 2 What is the h'th term of 394, 807, 1224, 1645, 2070, 2499, 2932? 2*h**2 + 407*h - 15 What is the p'th term of 98, 189, 276, 359, 438, 513? -2*p**2 + 97*p + 3 What is the a'th term of -658, -2224, -4842, -8518, -13258, -19068, -25954, -33922? -a**3 - 520*a**2 + a - 138 What is the v'th term of 51, 40, -1, -72? -15*v**2 + 34*v + 32 What is the q'th term of -1821, -3609, -5409, -7227, -9069, -10941, -12849, -14799? -q**3 - 1781*q - 39 What is the n'th term of -72920, -72937, -72958, -72983, -73012? -2*n**2 - 11*n - 72907 What is the k'th term of -659, -645, -633, -623? -k**2 + 17*k - 675 What is the c'th term of -124, -170, -278, -478, -800? -5*c**3 - c**2 - 8*c - 110 What is the i'th term of 5378, 21520, 48434, 86126, 134602? i**3 + 5380*i**2 - 5*i + 2 What is the m'th term of 1589, 1763, 1937, 2111, 2285, 2459? 174*m + 1415 What is the k'th term of 1414, 2852, 4288, 5722? -k**2 + 1441*k - 26 What is the t'th term of -466, -968, -1518, -2134, -2834, -3636, -4558? -3*t**3 - 6*t**2 - 463*t + 6 What is the j'th term of -122, -276, -538, -914, -1410? -j**3 - 48*j**2 - 3*j - 70 What is the m'th term of -88, -194, -322, -472, -644? -11*m**2 - 73*m - 4 What is the k'th term of -56426, -56427, -56428, -56429, -56430? -k - 56425 What is the o'th term of -216, -891, -2040, -3651, -5712, -8211? 2*o**3 - 249*o**2 + 58*o - 27 What is the a'th term of 30443, 60883, 91327, 121775, 152227, 182683, 213143? 2*a**2 + 30434*a + 7 What is the g'th term of 61, 61, 39, -23, -143? -3*g**3 + 7*g**2 + 57 What is the b'th term of 692, 1490, 2288, 3086, 3884, 4682? 798*b - 106 What is the t'th term of 1612, 3434, 5268, 7120, 8996? t**3 + 1815*t - 204 What is the t'th term of -53, -221, -551, -1085, -1865, -2933, -4331, -6101? -7*t**3 - 39*t**2 - 2*t - 5 What is the k'th term of -2837, -2824, -2803, -2774, -2737? 4*k**2 + k - 2842 What is the h'th term of -69, -347, -819, -1479, -2321? h**3 - 103*h**2 + 24*h + 9 What is the j'th term of -7579, -7575, -7567, -7555, -7539, -7519, -7495? 2*j**2 - 2*j - 7579 What is the p'th term of -405, -438, -485, -552, -645? -p**3 - p**2 - 23*p - 380 What is the y'th term of -118, -72, 12, 152, 366, 672, 1088? 3*y**3 + y**2 + 22*y - 144 What is the d'th term of 207, 2264, 7869, 18798, 36827, 63732, 101289? 296*d**3 - 2*d**2 - 9*d - 78 What is the t'th term of -445, -3570, -12049, -28558, -55773? -446*t**3 - t**2 + 2 What is the l'th term of 48, -152, -506, -1032, -1748, -2672? -3*l**3 - 59*l**2 - 2*l + 112 What is the r'th term of -3926, -3950, -3984, -4028, -4082? -5*r**2 - 9*r - 3912 What is the y'th term of 31, 37, 19, -35, -137? -2*y**3 + 20*y + 13 What is the y'th term of -1299, -3926, -8329, -14526, -22535? -3*y**3 - 870*y**2 + 4*y - 430 What is the w'th term of 1473, 3010, 4545, 6078? -w**2 + 1540*w - 66 What is the j'th term of -24683, -24685, -24687? -2*j - 24681 What is the o'th term of -605, -583, -561, -539? 22*o - 627 What is the o'th term of 14, 138, 484, 1172, 2322, 4054, 6488? 20*o**3 - 9*o**2 + 11*o - 8 What is the r'th term of 4662, 9360, 14056, 18750, 23442, 28132? -r**2 + 4701*r - 38 What is the o'th term of 30828, 61621, 92380, 123105, 153796? -17*o**2 + 30844*o + 1 What is the n'th term of 14736, 14737, 14738, 14739, 14740, 14741? n + 14735 What is the m'th term of -2121, -8229, -18413, -32679, -51033, -73481? -m**3 - 2032*m**2 - 5*m - 83 What is the m'th term of 1250, 8192, 27028, 63704, 124166, 214360, 340232? 991*m**3 + m**2 + 2*m + 256 What is the j'th term of -293, -668, -1085, -1550, -2069, -2648, -3293? -j**3 - 15*j**2 - 323*j + 46 What is the f'th term of -7958, -7961, -7962, -7961, -7958? f**2 - 6*f - 7953 What is the l'th term of 1625, 3235, 4845? 1610*l + 15 What is the f'th term of -1269, -1279, -1277, -1257, -1213, -1139, -1029, -877? f**3 - 17*f - 1253 What is the i'th term of 130, 389, 900, 1789, 3182? 21*i**3 + 112*i - 3 What is the v'th term of -390, -749, -994, -1131, -1166? -v**3 + 63*v**2 - 541*v + 89 What is the a'th term of 49979, 99964, 149959, 199964, 249979? 5*a**2 + 49970*a + 4 What is the d'th term of -44, -84, -106, -110, -96? 9*d**2 - 67*d + 14 What is the g'th term of -821, -849, -877, -905, -933? -28*g - 793 What is the w'th term of -50, -49, -22, 61, 230, 515, 946? 5*w**3 - 17*w**2 + 17*w - 55 What is the w'th term of -24241, -48382, -72523, -96664, -120805, -144946? -24141*w - 100 What is the f'th term of -53777, -53779, -53781, -53783? -2*f - 53775 What is the a'th term of -4070, -3966, -3792, -3548, -3234? 35*a**2 - a - 4104 What is the d'th term of 1391971, 1391971, 1391961, 1391935, 1391887, 1391811, 1391701, 1391551? -d**3 + d**2 + 4*d + 1391967 What is the m'th term of -2309, -2257, -2203, -2147, -2089? m**2 + 49*m - 2359 What is the l'th term of 754, 3019, 6788, 12055, 18814? -l**3 + 758*l**2 - 2*l - 1 What is the b'th term of 478505, 478514, 478513, 478496, 478457, 478390? -b**3 + b**2 + 13*b + 478492 What is the y'th term of 868, 1709, 2550, 3391, 4232, 5073? 841*y + 27 What is the v'th term of 43376, 86753, 130130, 173507, 216884, 260261? 43377*v - 1 What is the v'th term of 3687, 3660, 3647, 3654, 3687, 3752? v**3 + v**2 - 37*v + 3722 What is the g'th term of 110, 131, 186, 293, 470, 735, 1106, 1601? 3*g**3 - g**2 + 3*g + 105 What is the k'th term of -142474, -142462, -142450, -142438? 12*k - 142486 What is the h'th term of -6704, -6318, -5272, -3236, 120, 5126, 12112? 55*h**3 + h - 6760 What is the q'th term of 3174, 6336, 9498, 12660, 15822? 3162*q + 12 What is the p'th term of 742, 726, 720, 730, 762, 822, 916, 1050? p**3 - p**2 - 20*p + 762 What is the x'th term of 10980, 10992, 11002, 11010? -x**2 + 15*x + 10966 What is the d'th term of -226, -161, -116, -103, -134, -221, -376, -611? -2*d**3 + 2*d**2 + 73*d - 299 What is the m'th term of -26, -29, 128, 577, 1450? 22*m**3 - 52*m**2 - m + 5 What is the m'th term of -65964, -65969, -65974, -65979? -5*m - 65959 What is the b'th term of -204, -545, -1034, -1743, -2744? -12*b**3 - 2*b**2 - 251*b + 61 What is the g'th term of 3725, 7424, 11135, 14864, 18617, 22400, 26219? g**3 + 3692*g + 32 What is the j'th term of 1918, 3856, 5820, 7822, 9874, 11988, 14176, 16450? 2*j**3 + j**2 + 1921*j - 6 What is the b'th term of -45, -118, -201, -300, -421, -570? -b**3 + b**2 - 69*b + 24 What is the z'th term of 9217, 36880, 82967, 147466, 230365, 331652, 451315, 589342? -2*z**3 + 9224*z**2 + 5*z - 10 What is the j'th term of 46, 85, 108, 109, 82? -j**3 - 2*j**2 + 52*j - 3 What is the n'th term of 899, 1704, 2523, 3362, 4227, 5124, 6059? n**3 + n**2 + 795*n + 102 What is the c'th term of 11397, 11370, 11325, 11256, 11157, 11022, 10845, 10620? -c**3 - 3*c**2 - 11*c + 11412 What is the i'th term of 547, -9, -937, -2237? -186*i**2 + 2*i + 731 What is the i'th term of -1274341, -1274342, -1274343, -1274344, -1274345, -1274346? -i - 1274340 What is the b'th term of 119, 2442, 8749, 21032, 41283, 71494? 332*b**3 - b - 212 What is the n'th term of -697, -720, -745, -772, -801, -832, -865? -n**2
{ "pile_set_name": "DM Mathematics" }
fy (((r/r**(1/6))/r)**(1/24)*r*r**(-4/5)*r**1/r)**(3/13) assuming r is positive. r**(139/3120) Simplify (v**(2/15)*v/v**(1/10)*v*(v/(v/v**0*v))/v**(1/13))**(-2/33) assuming v is positive. v**(-373/6435) Simplify (z**7/(z/(((z**(-5/4)/z)/z)/z)))**(4/25)*((z*z**(-2))**(-1/2))**33 assuming z is positive. z**(839/50) Simplify (t**0)**41*t**(-7)*t/(t**3*t*t)*t*((t*t**(-1/8))/t**(-1))/(t*t/t**1*t)**(-1/11) assuming t is positive. t**(-699/88) Simplify ((y*y**(-4))**(-28)*y**(-10)/y**1)**(-38) assuming y is positive. y**(-2774) Simplify (((z**0/z)/z)**10)**(-20)*(z*z*z**(2/11)*z*z*z/(z**3/z))**(2/19) assuming z is positive. z**(83670/209) Simplify ((s**(-1/14)*s)**(-23)/(s**(-10)*s**(-19)))**(-3/11) assuming s is positive. s**(-321/154) Simplify (w**(-2)/w)/((w/w**(-6/11)*w)/w)*((w*w/w**(-1)*w*w)/w)**32*(w/w**(1/3))**(18/5)*(w*w*w*w/w**(-4/7)*w*w*w)/((w**6/w)/w) assuming w is positive. w**(49829/385) Simplify ((l/l**(-4)*l/(l/(l/(l*l**(-4))))*l)/(l**14)**(-17))**(14/9) assuming l is positive. l**(3472/9) Simplify ((i*i*i**9)/i**7)**(1/5)*(i/(i**(-2/5)*i*i))**(-6)*i*i**(-1/3)*i*(i**(-2/9)/i)/i assuming i is positive. i**(173/45) Simplify ((o**(-2))**(-1/6))**(7/3)*((o*o**1)/(o/(o/o**10)*o))**(-19) assuming o is positive. o**(1546/9) Simplify (o**(-4)*o*o**(2/3))**25/((o/o**0)/((o/(o/(o*o/o**(-1)))*o)/o)*(o*((o*o**0)/o)/o*o)**(-38)) assuming o is positive. o**(-55/3) Simplify ((t**(-6)/(t**(-1/6)/t))/((t/(t/(t/(t*t*t**(1/4)*t*t)*t))*t)/t)**(2/117))/(t/(t**(-8/5)/t)*t**(-9))**(-29) assuming t is positive. t**(-31472/195) Simplify (((b/b**8)/(b**0*b)*((b**(-1/5)/b)/b)/((b*b**(2/3))/b))**(-3/2))**6 assuming b is positive. b**(489/5) Simplify ((q*q**(12/7))**18/(q**(1/31)/q**(-12/7)))**(15/4) assuming q is positive. q**(153345/868) Simplify ((m**(-2/17)/m*m/m**(-13)*(m/m**(3/5))**(2/27))**8)**(3/32) assuming m is positive. m**(29633/3060) Simplify (((((c*c*c/(c*(c*c**(-2/13)*c*c)/c))/c)/c*c)/c**(4/5))/((c/(c/(c*c/c**2))*c)/c*c*c*c**(-15)/c))**(-24) assuming c is positive. c**(-19272/65) Simplify ((u**(-3)/(u*u*u/u**(6/7)*u*u*u))/(u**(-2/19)/u*u*u)**(3/4))**37 assuming u is positive. u**(-173493/532) Simplify ((b**(2/3))**(-3/8)*(b**(5/3)*b)/(b/b**(-20)))**(1/41) assuming b is positive. b**(-223/492) Simplify d**6/(d*(d*d/(d/d**(-5)))/d)*(d**(-2/7))**(3/26)*(d**(-2/5)*(d/(d*d**1))/d)**12 assuming d is positive. d**(-8569/455) Simplify (((f*f**(-6/11)/f*f**(-2/25))**(2/5))**(-3/11))**10 assuming f is positive. f**(2064/3025) Simplify (n**(-8/3)/n*n/((n**1*n)/n))**(-18/11)/((n*n/((n/(n*n/(n/n**(1/3)))*n)/n))/(n/n**(-1/11)))**(-2/19) assuming n is positive. n**(3844/627) Simplify (i**(-4)/(i*i*i/(i/(i/i**(2/5))*i)*i))/((i**(3/8)/i)/(i**4*i))*(i/i**(-3))/(i*i**3)*(i**(2/7)*i*i)**(-43) assuming i is positive. i**(-27793/280) Simplify ((y/y**(-2))**(-1/9)*(y/((y/y**(-2))/y*y)*y*y)**(7/8))**(2/21) assuming y is positive. y**(-2/63) Simplify (((y*y**(4/7))**(-2/141)/(y**14*y*y**(-3)))**(11/5))**(6/7) assuming y is positive. y**(-261052/11515) Simplify (g**(4/3)*g**(2/7))/(g**(-1/4)*g*g**(1/3))*((g**(-7)/g)/g*g*g**(1/3)*g*g)**(-12/17) assuming g is positive. g**(127/28) Simplify ((h**2/h)**(16/7)*h**1/h**(-5))/(h**(-6/5)*h/(h*h/h**(-2/19))*(h*h/(h/h**(3/2)))/h**(-1/3)) assuming h is positive. h**(30953/3990) Simplify ((t**5/t)/(t**(-2/47)/t)*(t*t**(3/7))/(t/(t*t/t**9)))**(-8) assuming t is positive. t**(4024/329) Simplify (s*s/s**(-16))/(s*s*s**(5/4))*s*s**(6/7)*s*s*s/(s**(-3/20)/s)*s*s assuming s is positive. s**(1593/70) Simplify ((c*c**(-2/5)/c*c)**(2/9)/(c**(-6)*c*c**(2/9)))/(c**(-1/4)/c**(1/4)*(c**0/c)**(-4/11)) assuming c is positive. c**(4997/990) Simplify (d**(-2/15)*d*d**(3/2))/((d/d**(-5))/d**(-1))*(d*d**0)**1/((d*d**(-6))/d**0) assuming d is positive. d**(41/30) Simplify ((((y**(2/11)*y)/y)/y)**(-32))**(-5/9)/(y**(-3/17)/y**(3/5))**16 assuming y is positive. y**(-1984/935) Simplify ((((g**0*g)/g)/(g/g**(-6/7)))/(((g**(-6)*g)/g)/g**3))/(g/g**(2/19)*g**(1/3)*g*(g/(g*g*g**2))**20) assuming g is positive. g**(25901/399) Simplify (((s*s/(s*s**(-2)*s))/(((s/s**3)/s)/s))/(s**(-2/15)*s*s*s**(-4)*s))/((s*s/s**5)/((s*s**(-6)/s)/s)*(s**(-1))**(6/17)) assuming s is positive. s**(889/255) Simplify (((k/(k/(k**21/k)))/k**18)/(k**(-4/11)/k*k*k*k*k*k*k/k**(-8/7)*k*k*k))**(-4/15) assuming k is positive. k**(696/385) Simplify ((n**(-3/7)/n)/n)**(8/5)/((n**(-39)*n)/(n*n/(n/(n/(n/n**(4/9)*n))*n))) assuming n is positive. n**(10571/315) Simplify ((h/h**(-1/10)*h*h*h/(h*h/(h*h*h**(11/2)*h))*((h**(2/15)/h)/h)**17)**(1/10))**(-1/29) assuming h is positive. h**(317/4350) Simplify b**6/b*b/b**7*(b**(1/4))**(-29)*(b/((b**(-1)/b*b)/b))**(-29)/(b**0)**(-42) assuming b is positive. b**(-381/4) Simplify (((l**(-4))**11*(l/(l/(l/(l*l**4))))/l*l*(l**(-7)*l)/l)**33)**(-2/3) assuming l is positive. l**1210 Simplify ((g/g**(-3))/g*g*g**(-7/6)/g*g**(-3)*g/(g/((g*((g/g**16)/g)/g*g)/g)))**(1/5) assuming g is positive. g**(-103/30) Simplify f*f*f**8*f*f*f**8/f*(f*f**(2/7))**(1/18)*f**(-3)*f*f**(-4)/f*f*(f/(f/(f*f/(f/f**1)))*f)**(-3) assuming f is positive. f**(57/14) Simplify (((m**1/(m**4/m*m))/(m/(m*m/(m*m**(-2/11)))*m/(m*m*m**(-1/8)*m*m)))**(-17))**(-3/2) assuming m is positive. m**(255/176) Simplify ((c**(-2))**(12/5))**(1/8)/((c*c**1*c)**(1/18)/(c*c*c*c*c**(-5)/c*c**(-4))) assuming c is positive. c**(-203/30) Simplify ((d/(d**3*d))/d*d)/(d*d*d**(1/5))*((d**(1/2)*d)/d)**(-7)*((d/d**0)/d)**(-4/11)*d**(-2/9)*((d/(d**0/d)*d)/d)/d*d assuming d is positive. d**(-623/90) Simplify (((c*c/c**(-6/5))/c)/(c**11/c))**48*c**(1/8)/c**(-6/11)*(c**(2/7)*c)**(-29) assuming c is positive. c**(-1265927/3080) Simplify ((k/(k/k**2))/(k/(((k/(k*(k*k/(k**(-2/13)*k))/k))/k)/k))*(k/k**(-2/3))/(((k**(1/29)*k)/k)/k))**(-1/2) assuming k is positive. k**(-836/1131) Simplify ((m**(5/3)/(m*m/((m*m/(m*m/(m/(m**14/m)*m))*m*m)/m)))/(m**(-1)*m*m)**(5/7))**(-2/51) assuming m is positive. m**(464/1071) Simplify (((c**(-2/5))**(-8/9)*c**(1/3)/c**(-2))**(2/29))**(2/11) assuming c is positive. c**(44/1305) Simplify (l*(l/(l/(l/(l/((l**4/l)/l*l)*l))))/l*(l/(l/(l/(l*l**(2/21)))))/l)/(l**2*l*(l/l**(-2/5))/l)*(l**(1/4))**(2/165)*(l**0)**(-39) assuming l is positive. l**(-1919/770) Simplify ((((r/(r**(-1)*r)*r)**(1/9))**(2/37))**(-17))**(-22) assuming r is positive. r**(1496/333) Simplify (((z/(z**13*z*z*z))/z*z**38/z*z*z)/((z*z/z**21)/((z*z**29*z*z)/z*z)))**35 assuming z is positive. z**2590 Simplify (q/(q/(q/((q**(-24/11)*q*q*q)/q)))*(q/(q/q**(-4)))/q*q*(q**(-21)/q)/q*q*q**(-32))**(2/123) assuming q is positive. q**(-1250/1353) Simplify ((n**(-2/7))**(3/4)*((n*n/(n/n**2))/n)/(n*n**(-1/2)))/((n**3*n**(-4/7))/(n*n**7*(n/n**(2/7))/n)) assuming n is positive. n**(46/7) Simplify (s*s**(1/11))**19*(s**(2/43))**(-21) assuming s is positive. s**(9342/473) Simplify (t**(-1/3)/t**(8/3)*(t/(t/(t**16*t)))/((t/(t/t**1)*t)/t))**(-40) assuming t is positive. t**(-520) Simplify ((u/u**(-1/18))/((u*u*u/(u/u**(-7)*u)*u*u)/u)*((u**7*u)/u*u*u)/u*u**(-11))**(-19) assuming u is positive. u**(-1045/18) Simplify ((u**0*u**(4/3))/(u*u**(2/3))**6)/((u/(u*u**1*u))**(-43)/((u*u**(2/3))/u)**(-1/13)) assuming u is positive. u**(-3694/39) Simplify ((l*l**1)/l)**(-12)/(l*l**(6/5)*l*l**(-6))*((l**2)**(7/3))**35 assuming l is positive. l**(2312/15) Simplify ((w**1)**(-21)/(w**1/(w**(-6)/w*w)))/((w*w**(1/5))**12)**(7/8) assuming w is positive. w**(-203/5) Simplify (((n**(4/9)/n)/n)/n**(1/2)*n**(-3)/(n*n**(-1)))/((n**(-8)*n/(n/n**9*n))/(n*n**(-1/2))**(-9)) assuming n is positive. n**(-86/9) Simplify ((t**(-2/7))**(5/16)/(t**(-6)/((t*t**(-3/7))/t*t)))/((t**(-1/2))**42)**(-31) assuming t is positive. t**(-36093/56) Simplify ((g*(g*g**(1/2)*g)/g*g)/(g/g**(-2/7))*g**(-1/4)/(g*g*g*g/g**(2/21)*g))/((g**(1/4)*g)/((g/g**(-4))/g)*(g/g**1*g)**(3/7)) assuming g is positive. g**(-13/21) Simplify j**(1/4)*j**(2/7)*j**(1/7)/(((j*j**(-2/5))/j*j)/j)*((j**0)**(-18))**(7/3) assuming j is positive. j**(151/140) Simplify ((m/(m**(-1)/m))**(27/5)*m**1*m/(m**(-5)/m))/(((m/(m*m**(-2/5)*m))/m**(-6))/((m*m/(m/m**5))/m**5)) assuming m is positive. m**(99/5) Simplify a**2/(a/a**(4/7))*(a*a**(-6)/a*a)/a**(-1/2)*((a**(-1))**(-3/2))**26 assuming a is positive. a**(505/14) Simplify ((l**3/l*l**5/l)/((l/((l*l**(1/8)/l)/l*l))/l**(-3)))/((l/(l**(-2)/l)*l*l**(-2)/l*l)/(l/((l/l**6)/l)*l/(l/l**(2/1
{ "pile_set_name": "DM Mathematics" }
dreds digit of 77171274? 2 What is the tens digit of 489367987? 8 What is the ten thousands digit of 158994498? 9 What is the thousands digit of 5816971641? 1 What is the hundreds digit of 7224579538? 5 What is the ten millions digit of 193690080? 9 What is the hundreds digit of 4543313? 3 What is the thousands digit of 319821239? 1 What is the hundred thousands digit of 10716882? 7 What is the hundred thousands digit of 303202842? 2 What is the hundred millions digit of 1348097351? 3 What is the hundred millions digit of 147714091? 1 What is the units digit of 91302749? 9 What is the ten millions digit of 808376427? 0 What is the hundred thousands digit of 455879381? 8 What is the tens digit of 6160742? 4 What is the millions digit of 6461585643? 1 What is the millions digit of 573262266? 3 What is the tens digit of 3695439130? 3 What is the ten thousands digit of 4071987612? 8 What is the hundreds digit of 402201290? 2 What is the ten millions digit of 867995459? 6 What is the hundreds digit of 1134744909? 9 What is the hundred thousands digit of 190645468? 6 What is the units digit of 956974944? 4 What is the ten thousands digit of 109161844? 6 What is the billions digit of 3500737697? 3 What is the thousands digit of 5020166016? 6 What is the millions digit of 66743962? 6 What is the millions digit of 205586020? 5 What is the hundred millions digit of 1377887660? 3 What is the tens digit of 16375660? 6 What is the hundred millions digit of 3803246957? 8 What is the ten millions digit of 2029166876? 2 What is the hundred thousands digit of 327679168? 6 What is the units digit of 17193041? 1 What is the hundred thousands digit of 363547242? 5 What is the hundreds digit of 31826345? 3 What is the tens digit of 870446629? 2 What is the hundred thousands digit of 266114571? 1 What is the ten thousands digit of 823265112? 6 What is the units digit of 738556847? 7 What is the thousands digit of 1836229849? 9 What is the hundred thousands digit of 807346138? 3 What is the units digit of 133447051? 1 What is the hundred millions digit of 1230994915? 2 What is the units digit of 484332863? 3 What is the ten millions digit of 1576331833? 7 What is the thousands digit of 2533826089? 6 What is the ten millions digit of 1525000712? 2 What is the hundred millions digit of 493177889? 4 What is the billions digit of 4671489007? 4 What is the hundred thousands digit of 1458107393? 1 What is the thousands digit of 107792385? 2 What is the billions digit of 3252187425? 3 What is the millions digit of 18753041? 8 What is the hundreds digit of 70581313? 3 What is the ten thousands digit of 39480685? 8 What is the billions digit of 2197470054? 2 What is the ten thousands digit of 77135499? 3 What is the hundreds digit of 831733552? 5 What is the thousands digit of 106410005? 0 What is the hundreds digit of 421703525? 5 What is the tens digit of 4677992891? 9 What is the hundred millions digit of 855456041? 8 What is the units digit of 7868194? 4 What is the tens digit of 249692631? 3 What is the units digit of 57580826? 6 What is the ten thousands digit of 95958589? 5 What is the millions digit of 121537065? 1 What is the hundred thousands digit of 33743122? 7 What is the ten millions digit of 1876414460? 7 What is the tens digit of 1018372188? 8 What is the hundreds digit of 3523725848? 8 What is the hundred thousands digit of 758754438? 7 What is the hundred millions digit of 131000739? 1 What is the billions digit of 2379159204? 2 What is the hundred thousands digit of 60228310? 2 What is the billions digit of 1144052496? 1 What is the ten millions digit of 966685630? 6 What is the hundred thousands digit of 4130902112? 9 What is the hundreds digit of 966195879? 8 What is the millions digit of 230998061? 0 What is the units digit of 3793647776? 6 What is the units digit of 25726326? 6 What is the millions digit of 388702182? 8 What is the units digit of 1324262260? 0 What is the tens digit of 20886057? 5 What is the hundred millions digit of 2157549782? 1 What is the hundreds digit of 96984980? 9 What is the ten millions digit of 121801421? 2 What is the thousands digit of 200221942? 1 What is the millions digit of 200977275? 0 What is the ten thousands digit of 4077178744? 7 What is the tens digit of 54978011? 1 What is the units digit of 121994535? 5 What is the thousands digit of 340974160? 4 What is the ten millions digit of 52540784? 5 What is the ten millions digit of 1122000562? 2 What is the thousands digit of 369240208? 0 What is the hundreds digit of 139014855? 8 What is the ten millions digit of 27062368? 2 What is the tens digit of 151175057? 5 What is the hundred thousands digit of 7544966089? 9 What is the ten millions digit of 400006450? 0 What is the ten thousands digit of 755342181? 4 What is the ten thousands digit of 253396847? 9 What is the hundreds digit of 101729542? 5 What is the hundred thousands digit of 188074024? 0 What is the thousands digit of 24907582? 7 What is the ten thousands digit of 69716097? 1 What is the hundreds digit of 170156740? 7 What is the hundreds digit of 33785377? 3 What is the ten millions digit of 175921076? 7 What is the hundred thousands digit of 105402607? 4 What is the hundred thousands digit of 2654574587? 5 What is the tens digit of 99215020? 2 What is the hundred thousands digit of 5185919844? 9 What is the hundreds digit of 1565742376? 3 What is the millions digit of 39034726? 9 What is the units digit of 680275002? 2 What is the units digit of 57081205? 5 What is the ten thousands digit of 1186405927? 0 What is the hundreds digit of 250007955? 9 What is the thousands digit of 44059625? 9 What is the hundreds digit of 756606250? 2 What is the hundreds digit of 93894052? 0 What is the billions digit of 1586943580? 1 What is the ten thousands digit of 59308061? 0 What is the hundreds digit of 105117765? 7 What is the hundred thousands digit of 75768873? 7 What is the ten millions digit of 17060984? 1 What is the millions digit of 146093401? 6 What is the units digit of 30638860? 0 What is the millions digit of 941153974? 1 What is the tens digit of 200953895? 9 What is the ten thousands digit of 10241443? 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{ "pile_set_name": "DM Mathematics" }
+ 4, -x = n - 3*h for n. -4 Let v be (3180/35)/12 - (-3)/7. Solve -v*j + 4*j - 3*s - 13 = 0, -4*j = -5*s - 11 for j. -1 Let j(x) = x**2 - 12*x + 23. Let f be j(10). Suppose -f*u = -6*r + 2*r - 22, 0 = 2*u - 2*r - 12. Solve -19 = 3*m + 2*t, -t - 8 = -u*m + 3*m for m. -3 Let m be 90/(-12)*(-8)/3. Let o be 30/m + 18/4. Suppose q = -5*j - 2, j - 5*q = -4*j + 10. Solve 5*p + 5*r = 4 + o, -2*p + 3*r + 9 = j for p. 3 Suppose -68 = 6*h + 64. Suppose -72 = -z - 2*z. Let r = z + h. Solve n - 2*u = -2*n - 9, 0 = -r*u - 6 for n. -5 Suppose y + 264 = 5*y. Let r = 66 - y. Solve r = -s - 3*b - 8, -5*s + 12 = 3*b - b for s. 4 Suppose -6 = -10*d + 34. Solve -2*l = -d*s + 2 + 2, -3*l - 6 = -s for l. -2 Suppose -23*c + 20*c + 45 = 0. Suppose -c*u = -18*u + 9. Solve u*l = 3*o - o - 1, -2*o - 1 = -5*l for o. 2 Let q be (1/2)/((-2 - 0)/(-24)). Let y(u) = 4*u - 14. Let j be y(q). Solve -2*f + a = 15, -2*a - a = f - j for f. -5 Suppose 2*u + 3*i = 3*u - 44, -2*u - i + 102 = 0. Suppose 46*a + 8 = u*a. Solve r + 0*r + t = 2, -a*t = 5*r - 10 for r. 2 Suppose -3*z = l - 9, 0*z + l = 2*z - 1. Let n be (-9)/((-324)/153) - (-1)/(-20)*5. Solve -z*w = -v - n, -2*v + 1 - 9 = 2*w for w. 0 Let w = -547 - -551. Solve -b - 12 - 10 = 5*l, -2*l - 16 = w*b for l. -4 Suppose -x + 4 - 1 = 0. Suppose 2*m - 7 = -4*w + 11, m = -x*w + 14. Solve 0 = 2*t - 3*r, -3*t - 12 = -w*t - 3*r for t. 3 Let n(j) = j**3 - 4*j**2 + 2. Let z be n(4). Suppose -4*m = 3*l - 8, 0 = l + l - z*m - 10. Solve 10 = -2*t + l*h, 4*t + t - 4*h + 19 = 0 for t. -3 Suppose 0 = a - 2*l + 5 + 9, -l = 5*a + 15. Let m be (-8)/((-12)/6) + a/(-2). Solve y = -f + 6*y - m, -y = -1 for f. -1 Let t(f) = f**2 - 22*f - 654. Let n be t(39). Solve -w = 4, -w + 2*w = c - n for c. 5 Suppose 0 = 2*y + 2*c - 7*c + 6, -4*c + 6 = -y. Suppose 2*b = 4*b + b. Let v = 23 - 5. Solve -4*o - p + v = 0, y*o + p + 2*p - 14 = b for o. 4 Let s(n) = n - 5. Let l be s(7). Suppose l*a - 4 + 0 = 0. Suppose o = -3*t + 3, -5*o + a*o + 9 = -2*t. Solve 0 = 3*z - o*q - 6, 1 - 15 = -z - 5*q for z. 4 Suppose -54 = 2*j - 4*j. Suppose 4*t - 36 = 5*i, 4*t - 8 = i - 3*i. Let o be t/(-6)*(-45)/10. Solve -g - o*g + 3*c + j = 0, g = c + 8 for g. 3 Let u = -1154 - -1173. Solve 0 = -5*o + 5*b - u + 64, 0 = -3*o + 5*b + 37 for o. 4 Suppose 4*u = -5*u + 18. Let x(j) = j**3 + 5*j**2 - 8*j - 7. Let o be x(-6). Solve -f + o*h - 15 = 1, -4*f + 2 = u*h for f. -1 Let y be 5 + -3 + ((-6)/(-3) - 2). Suppose -3*k = c + 13, -4*c - y*k - 12 = 2*k. Solve -5*q + f - 19 = -c*f, 2*f + 24 = -4*q for q. -5 Let t(q) = 6*q**2 - 33*q + 48. Let c be t(2). Solve 2*b - 7 = d - 1, -2*b - 4*d + c = 0 for b. 3 Let v be (-2)/7*63/(-6). Solve -9 = v*q, 2*q = 4*d - 0 - 2 for d. -1 Let c(g) = g**2 - g - 2. Let y be c(-2). Let o be 1 - (0 + (-2 - -2)). Let x be -1 - o - (2 - 6). Solve 2*a - y*p = -x*p, 0 = a + 3*p + 16 for a. -4 Suppose 4*a - 13 = z, -2*a + 1 = -7. Suppose z*g = -0*s - 2*s + 28, -g + 56 = 4*s. Solve -i - 4*c = 10, -s = 4*i - i + 4*c for i. -2 Let t(p) = -p**3 + 11*p**2 - 8*p + 10. Let k be t(10). Suppose -x - k = -4*x. Suppose w = x - 6. Solve 0*d + 10 = -2*z + 2*d, -25 = w*z - 5*d for z. 0 Suppose 0 = -2*p - 6*n + 5*n + 9, -3*p - 2*n + 15 = 0. Solve p*m - 5 = -3*z - 23, 4*z + 2*m = -16 for z. -2 Let i(t) = -t + 3. Let c be i(0). Let d(j) = -73*j - 363. Let q be d(-5). Solve -x - 5*u + c = -4*u, 0 = -3*x - q*u + 6 for x. 0 Let d(h) = -h**2 + 3. Suppose -3*w + 4*w - 2*a - 8 = 0, 4*a + 16 = 0. Let r be d(w). Solve i - 4*c = 14, r*i = -i + 5*c + 23 for i. 2 Suppose b = -4*f + 8, -218*f + 220*f - 4 = 0. Solve -3*j + 12 - 21 = -5*z, z = b for j. -3 Let g = -2 - -4. Suppose -111 = -u - g*u. Suppose 269*i - 244*i - 100 = 0. Solve 0 = i*f - 2*o + 6, 3*f + 0*o + u = -5*o for f. -4 Let m = -42 - -93. Suppose 8*h - 149 - m = 0. Solve h = 4*k - 5*j + 4*j, 2*k - 35 = 5*j for k. 5 Let n(c) = c**3 - 1 - 3*c**2 - 5 + 5*c**2 - 2*c**3 + 6*c. Let i be n(3). Suppose -12 = -5*x + i. Solve 2*l = -j - 2*j + 18, 0 = x*l + 3*j - 21 for l. 3 Let x(o) = o**2 + 5*o - 4. Suppose 16 = 5*y - y. Suppose y*l = 2*l - 12. Let m be x(l). Solve 3*q + 12 = 0, -m*q = t - 7*q - 21 for t. 1 Let a(x) = x**3 - 17*x**2 + 7*x + 4. Let f be a(16). Let n = 145 + f. Solve -4*o - 7 = -2*l - 21, n*l = -5*o + 10 for o. 3 Suppose 6*c - 2 = 4*c. Solve -4*o + m = -c, 5*o + 2*m + 0 = -2 for o. 0 Let n(s) = -12*s + 187. Let l be n(14). Solve -y - 3 = 0, -5*b = -3*b - 3*y - l for b. 5 Suppose 3*z + 2*t + 11 = 3*t, t - 5 = 0. Let r = z + 10. Suppose -5*j + 5 = 5*l, 39*j - 35*j = l + 19. Solve j*s - r = -4*d, 4*d - 5*s = -0*d - 28 for d. -2 Let h = 6 + -4. Suppose w - 1 = -7. Let k be (-26)/(-4) - w/(-4). Solve 0 = 3*s + u + 3, -2*u - 2 = k*s + h for s. -2 Let m be (2/6)/((-1)/(-3)) - 2. Let t(f) = 2*f**2 - 5*f - 5. Let g be t(m). Solve 3*o + y + 14 + g = 0, -4*o - 4*y - 32 = 0 for o. -4 Suppose 23 - 64 = -5*g + 4*k, -3*k = 12. Solve -a = -4*c - 7, g*c + 5 = 3*a - a for a. -5 Let n = 112 + -109. Solve -6 = 2*p, -2*j + n*p - 2 = p for j. -4 Let u = 22 + -11. Suppose 27 = u*m - 8*m. Solve -m = -2*i + 5*d + 5, -5*i - 3*d = 27 for i. -3 Suppose 3*d - 5*h = 4*d - 8, 0 = 5*d + 5*h - 20. Suppose 5*a + 0 = -5. Let w = 0 - a. Solve -d*k + f - 2 = 0, 3*k - 5*f + 3*f = -w for k. -1 Let r(l) = l**2 - 2*l + 3. Let f be r(2). Let w(q) = -q**2 + 13*q + 20. Let g be 55/4 + 2/24*3. Let y be w(g). Solve f*j = -o - y - 8, 2*j + 16 = -4*o for o. -2 Let y = -6 - 55. Let u = y - -75. Solve -4*o + 4 = 2*s - u, -5*o + 10 = 0 for s. 5 Suppose -15*w + 37 + 38 = 0. Solve -5*z - 6 = 4*m, -4*z - 4 = w*m - 1 for z. -2 Let g = 2341 - 2326. Solve -35*h = r - 37*h - 5, g = -r - 3*h for r. -3 Let i be 30/9 + 3/27*15. Solve 5*h - 2*r + 15 = 2*h, 0 = i*r for h. -5 Suppose -u + 5 = -2*h, 3*u + 2*u - 25 = 4*h. Let o be 2*((-9)/(-6) - 0). Solve -o*v + q - 4 = 0, -2*v + h*q - 5*q = -3 for v. -1 Let f be (-2)/6 - (-7)/3. Let s(w) = -1 + w**f - 6*w - 2*w**2 + 2*w. Let a be s(-3). Solve -3*c = 4*d + 16, -a*c = -d - 4*c - 4 for d. -4 Suppose 5*a - 5 = -3*p, 5*a + 1 - 6 = 0. Suppose p = 5*v - 4*l - 18, 2*l + 10 = 4*v - v. Solve x - 4 = 3*q - 18, -v*q + 7 = -3*x for x. 1 Suppose -4*m = -5*m + 27. Suppose m*l = 24*l. Solve l = -2*z + 2, 4*c - 2*c + 5*z + 1 = 0 for c. -3 Suppose 0 = 2*l, 4*c + 3 - 11 = 5*l. Solve 4*d - 3*x - 28 = 0, -1 - 7 = c*x for d. 4 Suppose -5*o = -r + 4, 3*o + 0 = -2*r + 8. Solve s + 25 = -4*s - 5*l, -16 = r*l for s. -1 Suppose -17*k + 179 = 111. Solve -3*h - u = -3, 3 = k*h + 3*u + 4 for h. 2 Let b(y) = -y**2 + 5*y + 23. Let t(n) = n**2 - 4*n - 24. Let q(z) = -4*b(z) - 5*t(z). Let l be q(5). Solve -i = -5*r + 13, 4*r + r = l*i + 19 for i. -3 Let m(s) = s**3 + 10*s**2 - 23*s + 14. Let n be m(-12). Solve 3*z - 11 = 2*x, n*x + 17 = -x + 5*z for x. -4 Let l be -4 + (988/169 - 4/(-26)). Solve l*s - h + 6*h = -5, 2*s + 7 = -3*h for s. -5 Suppose -8 = 3*g + 4*p, -3*p = 3*g - 4*g + 19. Let q be (-2)/(-4) - (-1)/(-2). Suppose q*b = -b. Solve -g*h + 4*y = 8, -h + b*h + 2*y = 0 for h. -4 Suppose 5*m = -4*d + 26, 2*m - 10 = -14. Solve -4*i = -4*z + d - 1, -i + 5*z - 2 = 0 for i. -2 Let u(d) = 18*d + 216. Let o be u(-12). Solve o = w - 2*w - 4, 3*h - w - 4 = 0 for h. 0 Suppose -10*r + 4*r = -30. Solve -4*z + 9 = -5*z - 5*k, 2*k = r*z + 18 for z. -4 Let x = -296 - -298. Solve 12 = 2*d - 2*c, -d = x*c + 4 - 7 for d. 5 Suppose -148 + 227 = x. Let a = 84 - x. Solve 3*w - 3*v + 1 = 19, -a = v for w. 1 Suppose 0 = -3*q - 5*z, q + 10*z = 5*z. Solve u - 6*u + 4*d - 24 = 0, q = 5*u + 2*d + 18 for u. -4 Let c = -2085 - -2089. Solve z - 2*p + 2 + 10 = 0, 5*p - 4 = -c*z for z. -4 Suppose 19 = 3*l + 4. Suppose -4*x = -16, 0*x - 3*x + 24 = 4*u. Solve u*k = -d + 4*k, -4*d - l*k = -27 for d. 3 Suppose 5*z = -z - 36. Let j be 30/21 + z/14. Solve -5*f = -4*x + 7, -2*x - 2 = -f - j for x. -2 Let a(p) = p**3 - 2*p**2 + 2*p - 2. Let s be a(2). Suppose -4*q - q + 45 = 0. Suppose s*y = -y + q. Solve -9 = d - y*m, -d + 0*d = 4*m - 19 for d. 3 Let a = 1471 - 1469. Solve -5*l = 26 - 6, 7 = 3*h + a*l for h. 5 Suppose 1 + 19 = 3*p - q, -2*q + 8 = 0. Suppose 2*i - 2 - p = 0. Suppose i*x - 35 = -10. Solve z = o + 5, 3*o - 7*o - x*z = -7 for o. -2 Suppose -3*g = -3, 3*g - 2*g - 55 = -3*f. Solve -4*u - 6 + f = 0, 3*w = -u for w. -1 Let r = 145 - 76. Suppose -4*j + 19 - 51 = 0. Let v be r/21 - j/(-28). Sol
{ "pile_set_name": "DM Mathematics" }
**3 + 11*d**2 - 71*d - 6. Calculate s*m(o) + 11*n(o). -o**3 + 12*o - 1 Let a(b) = -7*b**3 - 5*b**2 + 3. Let x = 389/519 - -1/2076. Let k(c) be the first derivative of 2/3*c**3 + 0*c**2 + x*c**4 - c - 5. Determine -2*a(o) - 5*k(o). -o**3 - 1 Let i(r) = -r**3 + 16*r**2 + 68*r + 211. Let d be i(20). Let x(c) = 32*c - 3. Let k(b) = 319*b - 29. What is d*x(y) + 3*k(y)? 29*y Let c(s) = -4*s**3 + 4*s**2 - 9*s. Let o(k) = k**3 - k**2. What is -c(f) - 2*o(f)? 2*f**3 - 2*f**2 + 9*f Let c(o) = -2541*o**3 + 154*o**2 - 154*o - 308. Let f(b) = -b**3 - b**2 + b + 2. Calculate -c(d) - 154*f(d). 2695*d**3 Let s(c) = -245*c**2 - 210*c - 18537354 + 18537354. Let u(n) = n**2 + n. What is -s(m) - 210*u(m)? 35*m**2 Suppose -2*h + 6 = 0, -5*h + 62 = -3*g - 19. Let m(t) = 6*t**3 + 11*t**2 + 11*t + 10. Let k(c) = c**2 + c + 1. Determine g*k(j) + 2*m(j). 12*j**3 - 2 Let h(x) = -7*x + 2. Let b = -1 - -2. Suppose 4*r + 24 = 3*a, -29*a + 30*a - r - 7 = 0. Let l(p) = p. Give a*l(j) + b*h(j). -3*j + 2 Let q(d) = -1503*d + 2. Let o(b) = -1500*b + 2. Give -5*o(h) + 4*q(h). 1488*h - 2 Let a(z) = -z**2 - 4*z - 2. Suppose 4*r - 12*v - 20 = 0, 23*r - 28*r + 25 = v. Let s(n) = -n**2 - 2*n - 1. Give r*s(i) - 3*a(i). -2*i**2 + 2*i + 1 Let w(x) = -10*x**2 - 7*x - 2. Let h(g) = -178*g - 178*g + 530*g - 172*g + 15 - 14 + 3*g**2. Determine -21*h(b) - 6*w(b). -3*b**2 - 9 Let t(h) be the first derivative of -2*h**3 + 2*h**2 + 2*h + 16. Let w(z) = -z**2 + z. Let n be (-2)/(680/50 + -14). Determine n*w(c) - t(c). c**2 + c - 2 Let r(j) = -6*j**2 - j - 8. Let z(m) = -5*m**2 - 4*m - 87. Determine 4*r(v) - z(v). -19*v**2 + 55 Let b(q) = -4*q**2. Let f = 12 + -23. Let d(w) be the first derivative of -10*w**3/3 + 2827. Determine f*b(v) + 4*d(v). 4*v**2 Let q(j) = -55*j**2 + 2. Let r(p) = 286 - 287 - 6931*p**2 + 13920*p**2 - 6961*p**2. Calculate 6*q(t) + 11*r(t). -22*t**2 + 1 Let c = -237 + 239. Let l(o) = 5 + 38*o - 19*o + 2*o**2 - 19*o - 4*o**2. Let s(y) = -2*y**2 + 4. Determine c*l(q) - 3*s(q). 2*q**2 - 2 Let i(y) = -47*y + 4. Let s(t) = -1 - 47*t - 14*t - 2 + 6 + 30*t. Determine -5*i(h) + 7*s(h). 18*h + 1 Let z = 22460 - 22459. Let p(q) = -17*q - 4. Let o(f) = 1. Calculate z*p(b) + 5*o(b). -17*b + 1 Let r(f) = -127*f**2 - 5*f - 8. Let v(o) = -255*o**2 - 9*o - 14. What is -7*r(a) + 4*v(a)? -131*a**2 - a Let n(u) = 318*u + 182. Let p(s) = -220*s - 181. Determine -2*n(v) - 3*p(v). 24*v + 179 Let d(w) = -85*w**3 + 50*w**2 - 10*w - 10. Let t(i) = 27*i**3 - 17*i**2 + 3*i + 3. Determine 3*d(h) + 10*t(h). 15*h**3 - 20*h**2 Let r(g) = -7*g + 9. Let l(a) = -2*a**2 - 63*a - 60. Let f be l(-30). Suppose f*i = -38 - 52. Let s(w) = -4*w + 4. Determine i*r(o) + 7*s(o). -7*o + 1 Let g(v) = -9*v**3 + 125*v**2. Let j(p) = 55*p**3 - 751*p**2. Calculate -13*g(z) - 2*j(z). 7*z**3 - 123*z**2 Let n(y) be the first derivative of y**5/40 + y**4/4 + 40*y**3 + 5. Let l(f) be the third derivative of n(f). Let a(d) = 1. Calculate -6*a(t) + l(t). 3*t Let a(j) = -j**2 - j. Let d(i) = -3*i**2 + 3 - 10 + 6 + i**2 - 2*i**2 - 2*i. Determine 6*a(t) - d(t). -2*t**2 - 4*t + 1 Let t(m) = 35*m - 150. Let n(d) = 15*d - 75. Determine -9*n(b) + 4*t(b). 5*b + 75 Let b(d) = 1294 + 13*d - 1298 + 0*d. Let s(y) = -27*y + 9. Determine -9*b(j) - 4*s(j). -9*j Let q(d) = -5*d + 1. Let n(h) be the third derivative of 0*h - h**2 + 1/6*h**4 + 67 + 0*h**3. Give -6*n(c) - 5*q(c). c - 5 Let y be (10/(-8))/(3086/12344). Let a(x) = -2*x**3 + 5*x**2 + 11*x - 2. Let i(g) = 5*g**2 + 5*g - 1 - 3*g**2 - g**3 + 0*g**2. Calculate y*i(n) + 2*a(n). n**3 - 3*n + 1 Let u(i) = -15*i**2 - 7*i - 2. Let f(w) = 52*w**2 + 25*w + 7. Let x(n) = 2*f(n) + 7*u(n). Let j(y) = -5*y**2 + 4*y - 2. Calculate j(l) - 3*x(l). -2*l**2 + l - 2 Let r(z) = 6*z + 2. Let w(h) be the third derivative of -5*h**4/24 - h**3/6 - h**2. Let q = -24092 + 24087. Calculate q*w(s) - 4*r(s). s - 3 Let d(s) = -4*s**3 + 2*s**2 + 10*s + 1. Let t(g) = 17*g**3 - 9*g**2 - 55*g - 6. Determine -11*d(v) - 2*t(v). 10*v**3 - 4*v**2 + 1 Let m(g) = -37*g - 34*g + 112*g + 17 - 37*g - 2*g**2. Suppose -19 - 20 = 3*o. Let d(y) = 6*y - 4*y**2 - 4*y**2 + 7*y**2 + 8 - 4*y. Give o*d(x) + 6*m(x). x**2 - 2*x - 2 Let f(q) = -4*q - 5. Suppose -4*w - 22 + 38 = -j, -6 = -2*w + j. Let m(u) = 3 - 6*u + 7 + 15*u. Give w*f(b) + 2*m(b). -2*b - 5 Let n(q) = 82447385*q - 244695. Let s(x) = 7413*x - 22. Give -2*n(u) + 22245*s(u). 7415*u Let z(r) = -14*r + 4. Let y(f) = -96*f + 22. Let i(g) = -49*g + 11. Let h(k) = 5*i(k) - 3*y(k). Determine -4*h(s) - 11*z(s). -18*s Let d be -1*8*(-14)/16. Let g(t) = 11*t**3 - 2*t**2 - 3*t + 13. Let z(b) = -6*b**3 + b**2 + 2*b - 7. Determine d*z(f) + 4*g(f). 2*f**3 - f**2 + 2*f + 3 Let l(a) = -3*a**3 + 2*a**2 + 5*a. Let k(x) = -5*x**3 + 3*x**2 + 7*x. Suppose 97*b - 18 + 518 = 15. What is b*k(t) + 7*l(t)? 4*t**3 - t**2 Let t(z) = -2*z**2 - 2*z + 5. Let w(m) = 5*m**2 + 6*m - 14. Suppose 79*v + 252 = -5*v. What is v*w(i) - 8*t(i)? i**2 - 2*i + 2 Let t(h) = -8*h**2 - 2*h + 3. Let u(k) = k**2 - k - 2. Let n(y) = -t(y) - 3*u(y). Let j(f) = 1 - 13*f**2 + 10*f**2 + 4*f**2 + f. Determine -3*j(i) + n(i). 2*i**2 + 2*i Suppose 25*r - 47 - 15 = -6*r. Let l(d) = -17*d**2 + 77*d + 1. Let n(t) = -4*t**2 + 19*t. Determine r*l(h) - 9*n(h). 2*h**2 - 17*h + 2 Let c(s) = -25*s + 11. Let w(a) = -68*a + 32. Calculate -11*c(j) + 4*w(j). 3*j + 7 Suppose -2*w - 1 = -5*w - h, -11 = -3*w + h. Let d(s) = -64*s - 26*s - 57*s + 265*s - 50*s - 7 - 55*s. Let x(f) = 6*f - 3. Determine w*d(a) - 5*x(a). -4*a + 1 Let n(c) = 3*c - 1. Let d(a) = -25*a - 110. Let b(q) = 55*q + 238. Let k(u) = -6*b(u) - 13*d(u). Determine -2*k(v) - 5*n(v). -5*v + 1 Let o(w) = w**3 + 4*w**2 + 4. Let k = 102 + -97. Let q(a) = 4 - k*a**2 + 2*a**3 - 1 + 0 + 8*a**2. Determine 3*o(d) - 4*q(d). -5*d**3 Let z(a) = -18*a - 8. Let d(n) = -49*n - 13. Let h(x) = -3*d(x) + 8*z(x). Let y(o) = o + 1. What is -h(f) + 2*y(f)? -f + 27 Let j(f) = -1. Let l(q) = -3*q - 1 - 7 + 0*q. Suppose -7*x - 5 = -12*x. Let i = -37627 - -37621. Determine i*j(k) + x*l(k). -3*k - 2 Let c = -5811 - -5818. Let q(d) = -76*d**2 - 10*d + 13. Let m(u) = 25*u**2 + 3*u - 4. Calculate c*m(s) + 2*q(s). 23*s**2 + s - 2 Let h(c) = 8*c**3 - 7*c**2 + 9*c + 32. Let o(m) = 14*m**3 - 12*m**2 + 17*m + 65. Determine -9*h(x) + 5*o(x). -2*x**3 + 3*x**2 + 4*x + 37 Let y(w) = -4*w**2 + w + 23. Let j(q) be the second derivative of q**4/4 - 11*q**2 + 13749*q. Calculate 3*j(r) + 2*y(r). r**2 + 2*r - 20 Let b(x) be the first derivative of x**2 - 3*x - 139. Let y(u) = -u**3 + 2*u**2 + u - 1. Let g be y(1). Let k(v) = v - 1. Calculate g*b(s) - 6*k(s). -4*s + 3 Let l(v) = 126*v**2. Let a(z) = -4221*z**2. Let f be (-16)/18 + (36 - 22724/(-171)). What is f*l(u) + 5*a(u)? 63*u**2 Let v(f) = 135*f**2. Let r(d) = 0*d**2 - d**2 + 2657*d - 2657*d. What is 75*r(h) + v(h)? 60*h**2 Let d = -7059 + 7065. Let q(i) = -6*i - 10. Let n(l) = 5*l + 9. Give d*q(z) + 7*n(z). -z + 3 Let s(u) = 31*u**3 + 10*u**2 + 4*u - 5. Let o(y) = 30*y**3 + 8*y**2 + 3*y - 5. Determine 4*o(j) - 3*s(j). 27*j**3 + 2*j**2 - 5 Let r(w) = -46*w**2. Let s(k) = -184*k**2. Let u = -9945 + 9954. What is u*r(h) - 2*s(h)? -46*h**2 Let a(g) be the first derivative of g**4/4 + g**3/3 + g + 1. Let o(w) = -5*w**3 - 9*w**2 - 6. Suppose 28*s = 904 - 2752. Let q = 72 + s. What is q*a(j) + o(j)? j**3 - 3*j**2 Let m(y) = 903*y**3 + 13*y**2 - 26*y - 13. Let w(p) = 226*p**3 + 3*p**2 - 6*p - 3. Give -6*m(k) + 26*w(k). 458*k**3 Let f be (5/3)/(((-4)/((-132)/55))/(-6)). Let l(x) = -17*x**3 + 2*x. Let b(q) = -1395*q**3 + 165*q. Calculate f*b(h) + 495*l(h). -45*h**3 Let y(r) = -8*r**3 - 14*r**2 + 36*r + 27701. Let i(h) = 10*h**3 + 17*h**2 - 44*h - 34626. Determine -9*i(q) - 11*y(q). -2*q**3 + q**2 + 6923 Let x(s) = 148. Let y(t) = t - 140. Determine -6*x(v) - 9*y(v). -9*v + 372 Let o be (76/(-722))/(3/(-114)). Let z(g) = -g**2 + g + 1. Let b(d) = -2*d**3 - 4*d**2 + d + 4. Determine o*z(k) - b(k). 2*k**3 + 3*k Let s(v) = -2*v**2 + v + 2. Let n(l) = -9*l**2 + 1. Let f(g) = n(g) - 5*s(g). Let o(w) = -2*w**2 + 9*w + 17. Suppose -18 - 30 = 8*z. What is z*o(c) - 11*f(c)? c**2 + c - 3 Let c(q) = -3*q + 3. Let a(w) = -w + 1. Let f(s) = s - 3*s - s**2 + 2 + 0. Suppose 13*i = 20*i - 7. Let j be f(i). Calculate j*c(u) + a(u). 2*u - 2 Let n(k) = -k. Let g(a) = -a + 12. Let v(x) = -x**2 - 7*
{ "pile_set_name": "DM Mathematics" }
f sequence fff when three letters picked without replacement from fffffxff? 5/8 Two letters picked without replacement from dxdddbdhxxhha. What is prob of sequence ba? 1/156 Calculate prob of sequence vrvr when four letters picked without replacement from {v: 8, f: 1, r: 8, u: 2, t: 1}. 392/14535 Three letters picked without replacement from wwwwwcww. Give prob of sequence www. 5/8 Calculate prob of sequence hvvv when four letters picked without replacement from {v: 6, h: 4}. 2/21 Four letters picked without replacement from fsslsrrsssrrsrrs. What is prob of sequence lrrr? 1/364 What is prob of sequence pppp when four letters picked without replacement from pjppjjjpjppp? 7/99 Calculate prob of sequence bv when two letters picked without replacement from brrvrbrbvvb. 6/55 Four letters picked without replacement from zfzzrpzpf. Give prob of sequence zfzz. 1/63 Four letters picked without replacement from {b: 2, n: 9}. What is prob of sequence nnbn? 7/55 Calculate prob of sequence noo when three letters picked without replacement from {n: 1, o: 3}. 1/4 What is prob of sequence phff when four letters picked without replacement from {f: 4, l: 2, h: 10, p: 4}? 4/969 Calculate prob of sequence bp when two letters picked without replacement from {p: 7, d: 4, b: 2}. 7/78 Two letters picked without replacement from {v: 16, t: 4}. What is prob of sequence vv? 12/19 Calculate prob of sequence tnnt when four letters picked without replacement from dtcttntodctdtndkckd. 5/7752 Two letters picked without replacement from cccttcccttcctctcccc. Give prob of sequence tt. 5/57 Two letters picked without replacement from mkmqnbbkqnqbdkb. What is prob of sequence kd? 1/70 What is prob of sequence xs when two letters picked without replacement from srlggxgssshgs? 5/156 Four letters picked without replacement from bxxxxntnx. Give prob of sequence bntx. 5/1512 Two letters picked without replacement from fffcfcfffcff. Give prob of sequence cc. 1/22 Three letters picked without replacement from lglzllilcillilliz. Give prob of sequence czg. 1/2040 Four letters picked without replacement from eeefvyeuvveefvo. What is prob of sequence ufvv? 1/1365 Calculate prob of sequence ppy when three letters picked without replacement from {i: 5, a: 1, p: 3, d: 3, y: 6}. 1/136 What is prob of sequence huvv when four letters picked without replacement from huuuuuuuuvvhu? 3/1430 Calculate prob of sequence bnbb when four letters picked without replacement from bbbbbbbbnbnnbnbbbbb. 455/3876 Calculate prob of sequence xxxi when four letters picked without replacement from {x: 9, i: 11}. 77/1615 What is prob of sequence hv when two letters picked without replacement from {n: 2, e: 1, w: 3, r: 2, v: 1, h: 9}? 1/34 Two letters picked without replacement from ksykxmxmxkkkkxmk. What is prob of sequence xs? 1/60 Four letters picked without replacement from {y: 3, l: 2, c: 10}. What is prob of sequence yyll? 1/2730 What is prob of sequence kk when two letters picked without replacement from knkkkkzkknckckknkkk? 26/57 What is prob of sequence hf when two letters picked without replacement from {h: 1, f: 2, t: 1, u: 3}? 1/21 Two letters picked without replacement from bktkbktbbnkbkktvb. Give prob of sequence bk. 9/68 Two letters picked without replacement from {v: 1, d: 6, q: 3, c: 1, s: 1}. Give prob of sequence vq. 1/44 Four letters picked without replacement from {x: 6, i: 4, w: 3, m: 2, t: 3}. What is prob of sequence xiix? 1/204 What is prob of sequence myy when three letters picked without replacement from mmmcmyymmm? 7/360 Two letters picked without replacement from {e: 1, m: 2, s: 7, h: 3, a: 1}. Give prob of sequence as. 1/26 Three letters picked without replacement from {y: 1, h: 7, g: 11}. What is prob of sequence ggg? 55/323 Two letters picked without replacement from {g: 1, d: 1, l: 5, v: 4}. What is prob of sequence lg? 1/22 Three letters picked without replacement from ylfgolggflgff. Give prob of sequence yoo. 0 What is prob of sequence bbss when four letters picked without replacement from eccswscbbbcsb? 3/715 Calculate prob of sequence xe when two letters picked without replacement from {a: 1, e: 6, w: 4, x: 2}. 1/13 What is prob of sequence zzz when three letters picked without replacement from zdzdz? 1/10 Calculate prob of sequence ddd when three letters picked without replacement from diiiiddi. 1/56 What is prob of sequence bkc when three letters picked without replacement from borboobbbck? 1/198 Three letters picked without replacement from lmmsymvlymys. What is prob of sequence yyl? 1/110 What is prob of sequence xca when three letters picked without replacement from ccctcacctalxt? 1/143 Three letters picked without replacement from hhyywyyyihp. Give prob of sequence yhh. 1/33 Calculate prob of sequence qt when two letters picked without replacement from {q: 7, t: 4}. 14/55 Two letters picked without replacement from {n: 7}. Give prob of sequence nn. 1 Calculate prob of sequence bbb when three letters picked without replacement from bbbbbbbm. 5/8 Three letters picked without replacement from hweqy. Give prob of sequence ewq. 1/60 What is prob of sequence hh when two letters picked without replacement from {c: 4, m: 7, h: 6}? 15/136 Calculate prob of sequence kqe when three letters picked without replacement from {e: 1, k: 1, q: 1}. 1/6 Three letters picked without replacement from {s: 11, e: 9}. What is prob of sequence ees? 11/95 Calculate prob of sequence yfb when three letters picked without replacement from ddybbfbykdd. 1/165 Calculate prob of sequence na when two letters picked without replacement from {n: 6, w: 1, t: 4, a: 1, e: 6}. 1/51 Four letters picked without replacement from bnpjr. What is prob of sequence pnbr? 1/120 Calculate prob of sequence qo when two letters picked without replacement from {o: 6, q: 2}. 3/14 Four letters picked without replacement from {x: 3, l: 3, q: 3, t: 3}. Give prob of sequence qxqt. 1/220 What is prob of sequence wno when three letters picked without replacement from nyaxaonwanx? 1/330 What is prob of sequence oy when two letters picked without replacement from {o: 8, y: 2}? 8/45 Calculate prob of sequence en when two letters picked without replacement from nvetzer. 1/21 What is prob of sequence wh when two letters picked without replacement from svhiwiipppphpppvvi? 1/153 What is prob of sequence ib when two letters picked without replacement from iiipbbwppiibiiibbb? 8/51 What is prob of sequence hwh when three letters picked without replacement from yhhyayywayyha? 1/286 Two letters picked without replacement from thjjjjtxhjjjunu. What is prob of sequence nn? 0 Three letters picked without replacement from {r: 1, a: 2, l: 2}. What is prob of sequence lrl? 1/30 Calculate prob of sequence wn when two letters picked without replacement from nxwxx. 1/20 What is prob of sequence uur when three letters picked without replacement from grggggkuuqguguuugr? 5/408 Four letters picked without replacement from pppsps. What is prob of sequence ppss? 1/15 What is prob of sequence du when two letters picked without replacement from {u: 9, d: 2}? 9/55 Calculate prob of sequence aya when three letters picked without replacement from {a: 3, y: 2}. 1/5 What is prob of sequence nss when three letters picked without replacement from snsnnnnnssssnnsnssnn? 11/95 Calculate prob of sequence oz when two letters picked without replacement from ozkodzoozkzzokokzkz. 7/57 Two letters picked without replacement from jee. What is prob of sequence ee? 1/3 Two letters picked without replacement from {b: 1, j: 1, q: 9, c: 4}. What is prob of sequence jc? 2/105 What is prob of sequence ek when two letters picked without replacement from {c: 1, j: 11, l: 3, k: 1, x: 1, e: 3}? 3/380 What is prob of sequence do when two letters picked without replacement from ddddddoddddd? 1/12 What is prob of sequence kd when two letters picked without replacement from dkddddddddkddedddddk? 12/95 Two letters picked without replacement from bpjjjjbkkpkkj. What is prob of sequence kb? 2/39 Calculate prob of sequence kx when two letters picked without replacement from nxpknxxnoxnxh. 5/156 What is prob of sequence jhj when three letters picked without replacement from {j: 2, o: 3, h: 1, u:
{ "pile_set_name": "DM Mathematics" }
5*l, 3*l - o + 8 + 15 = 0. Let r be l + (-5)/(-5)*10. Solve -4*n + 3*n + 9 = -2*t, 0 = -3*t - r*n + 9 for t. -2 Let q = 164 + -151. Suppose -2 = -5*n + q. Let s(b) = 3*b - 12. Let k be s(5). Solve k*o + 9 = 2*o + 4*f, n*o + 14 = -f for o. -5 Suppose -6*z = -5*z - 3, -3*a - 4*z + 18 = 0. Solve -t - 2 = 0, 4*j + a*t + 2 = -18 for j. -4 Suppose 6*m + 3*j = 5*m + 7, -4*j = -m + 14. Suppose 6 = 4*b - m. Solve -5*y + 10 = -g - 1, 13 = -5*g + b*y for g. -1 Suppose -3*k - 4*i = -1467, 3*k = k + 3*i + 961. Suppose 65*v - 60*v - k = 0. Let q = 99 - v. Solve 2*r = -5*s - 17, q*r + 4*s - 4 = -16 for r. 4 Let u = 137 + -107. Suppose 0*c - 2 = -c + x, -5*x + u = 5*c. Solve -12 = -c*o + 4*m, m + 3 = o - m for o. 3 Suppose 9*u + 119 = 7*o + 5*u, 91 = 3*o + 4*u. Solve 8*g = -5*h + 3*g + 45, 4*h - o = -g for h. 4 Suppose -3*m - 6 = -2*g, -74*m + 70*m = -5*g + 15. Let l = 44 - 23. Solve -4*y - 16 = -7*d + g*d, 4*y = 5*d - l for y. 1 Let h be (-320)/(-224) + 16/28. Solve -78*f + 81*f = h*t + 22, 24 = 4*f for t. -2 Let v(o) = 0*o - 4*o - 30 + 3*o + 57. Let x be v(7). Solve 0*c + 5*c = p + x, 5*c = -5*p + 20 for p. 0 Suppose 13*f - 8*f - 10 = 0. Suppose -6*a - 61 = 65. Let b = 21 + a. Solve -f*v - s = -b*v + 6, -2*s = -8 for v. -5 Suppose 61*l + 42*l - 212 = 406. Solve 4*j - 5*n + l = 0, 5*j = -12*n + 15*n - 14 for j. -4 Let b be (-111)/(-39) - 1 - 112/(-728). Solve -4*f + 5*f = 4*p - 8, -3*f = -p + b for f. 0 Let s = 5271 - 5267. Solve -13 = 3*i + 2*v, -9*i + 5 = -s*i - 2*v for i. -1 Let c(s) = -3*s**2 + 24*s + 4. Let z be c(7). Suppose -o + 5*o = 4*q - 28, 3*o + z = 5*q. Solve -q = 2*a + 3*v + v, -3*v + 2 = -2*a for a. -1 Suppose -5*z + 17 = -3*q + 364, z + 1 = 0. Let m = q + -110. Solve 0*s - 10 = 3*s + 5*l, m*l + 8 = -3*s for s. 0 Let w(a) = -8 - 2*a**2 + a**2 + 7*a + 4*a. Suppose 0 = 8*z + 140 - 204. Let g be w(z). Solve -4*o + g = 0, 2*l + 3*o + 12 = 7*o for l. 2 Let z = 26 - 15. Let f(o) = 8*o + 27. Let c be f(z). Let x be (-2)/(-6) - (c/(-15) - -3). Solve 3*w = -2*w - 3*a - x, 15 = 3*a for w. -4 Let y be ((-22)/(-77))/((24 - 12)/168). Solve -3*v = 641*q - 640*q - 13, -y*q = -4 for v. 4 Let j be 20/(-6) + (-35)/21. Let y be (-2)/j - 1024/(-40). Suppose -y + 1 = -5*z. Solve 4*p = -z*h + 10 + 7, 3 = 3*h for p. 3 Let q be 271 + -260 + 1*-7. Solve -5*w + 6 = 3*v, 2*w - 5*v + 6 + q = 0 for w. 0 Suppose 21 = 3*q + 3*m, -2*m = -3*q - 1 + 7. Let w be ((-9)/6*1)/((-2)/q). Suppose 17 = w*d + 8. Solve 0 = -k + 3*b - 7, 3*b - 7*b = d*k - 18 for k. 2 Let a(o) = -o**2 + 9*o + 4. Let c = -485 + 494. Let x be a(c). Solve x*f = 2*f - z + 3, -5*z = 5*f - 15 for f. 0 Let s be (-672)/48 - -16*1. Let y be 1*-3 - (-10 + 1). Suppose -2*m = 2 - y. Solve 2*f = m*w, s*f = -3*w + f - 20 for w. -5 Let c = -5482 + 5486. Solve 0 = r - 5*k + 34 - 24, 0 = -c*r - k + 2 for r. 0 Suppose -4 = b - 31. Let c be (-6)/b - 3/(54/122). Let h be 15*(3 + c)/(-12). Solve -h*n + 3*t = -3, -2*n + n + 23 = 5*t for n. 3 Suppose 78*j + 144 = 90*j. Let t be (-3 - -8)*8/10. Solve -5*g + g + 8 = 4*u, g - t*u = j for g. 4 Suppose -5 = 2543*f - 2542*f + 4*n, f - n - 5 = 0. Let v be (18 + -1)/(-1)*-1. Solve -6 = -c + a, 0 = c - f*a - v + 1 for c. 1 Let c = 4 - 0. Suppose c*f - h = -3, 4*f + 4*h + 6 = 6*h. Suppose -46*o + 45*o + 5 = f. Solve -11 = -o*k - 2*g - 1, 4*k = -5*g - 9 for k. 4 Suppose 4*g - 2*g = 10. Suppose -4*w = 5*x - 24, -4*x + 4*w + 7 + g = 0. Let b be (-4)/((-18)/4 - (-2)/x). Solve 4*o - 5*o - b = -h, -h - 2*o = 8 for h. -2 Suppose -26*f + 85*f - 14*f = 180. Solve -f*m + 10 = -10, 0 = -3*p + m - 5 for p. 0 Suppose 0 = -4*f - 5*j - 37, 2*f + 0*j + 2*j + 18 = 0. Let w be 8*(-4)/(f/5). Solve 0 = -2*z + 5*h + w, 5*z - 29 = 4*h + 4 for z. 5 Suppose -4*i = 3*h + 2*h - 53, 2*i + 4*h - 28 = 0. Let u = 16 - i. Let n = -779 + 784. Solve n*y = -25, 4*y + 26 = -u*k + 2*k for k. -3 Suppose 69 = -f + 4*f. Let j = f - 0. Let o = j - 19. Solve 25 + 11 = -4*b - 5*n, -o*b - 20 = n for b. -4 Let r = 221 + -218. Let f be (-75)/(-21) + r/7. Solve 1 = -c, f*s + 5*c = c - 4 for s. 0 Let b be (-24)/(-36) - (-4)/3. Suppose 5 = i, b = 2*f - 34*i + 32*i. Solve -s + f = 2*r + 1, 2*s = -5*r + 11 for s. 3 Let l = -4396 + 4401. Solve -19*t + 15*t + 2*a - 4 = 0, l*a - 10 = 5*t for t. 0 Let u = 15759 - 15759. Solve 0 = l + 3*a + 3, 0 = 3*l + 4*a - 1 - u for l. 3 Let s(f) = -26*f - 621. Let b be s(-24). Solve 5*j - 11 = -n, 2*n = b*n + j + 1 for n. -4 Let w(z) = z**2 - 58*z + 841. Let p be w(29). Solve 4*k + 3 + 13 = p, -3*q = 5*k + 17 for q. 1 Let v(c) = 3*c - 28. Let n be v(10). Let q(b) = -b**2 - 14*b - 22. Let o be q(-12). Solve o*w - 17 = 3*t, -4 = 3*t + t + n*w for t. -3 Let b = 18 - 18. Let h be (-4 + (b - -4))/1. Suppose 265*l = 271*l - 174. Solve -3*w + 17 = 4*s + 2*w, h = -2*s + 5*w - l for s. -2 Let a = 5 + -5. Let d be 8/(-96) + (-1067)/12. Let m = d - -92. Solve 4*l + a*l - m*p = -23, -5*p + 31 = -3*l for l. -2 Suppose 0 = -46*a - 59*a + 117*a - 108. Solve -2*q = -6*q + z - 8, -3*q - 3*z + a = 0 for q. -1 Suppose 20 = -11*v + 13*v. Let t = 12 - v. Let i be (-1)/(5/t + (5 - 8)). Solve -7 = -s + c - i*c, 4*c = -2*s + 22 for s. 3 Suppose -o = z - 6, -5*z + 12 = -6*z + 5*o. Solve -5*d + 4*q = -z - 19, -4*q = 3*d + 6 for d. 2 Suppose -210*f + 550*f - 329 = 1031. Solve -5*x + 5*b - 5 = 0, -3 - 1 = -f*b for x. 0 Let a(y) = 21*y + 2. Let v be a(8). Suppose v*p = 173*p - 15. Suppose 2 = h - 0. Solve 3*m - 10 = -0*m + p*l, 4 = 2*m - h*l for m. 0 Suppose 106912*u - 106915*u + 138 = 0. Solve 7*l - 16*n + u = -21*n, -4*n - 20 = 0 for l. -3 Suppose 4*y - 12 = k, 2*k - 2*y + 6 = -0*k. Let x = -28356 - -28366. Solve -2*b + 7*b + 3*h + 12 = k, h = 3*b + x for b. -3 Let i = 593 + -930. Let k = i + 337. Solve 5*l = 5, k = -w - 5*l + 3*l - 2 for w. -4 Let w = 513 - 502. Suppose 7*i + w - 25 = 0. Solve 3*f + 19 = i*b, -b - 4*b - f + 5 = 0 for b. 2 Suppose -2*b - 15*b + 89 = -30. Solve z = b*t - 3*t, 0 = 3*t + z - 7 for t. 1 Suppose 54 = 28*l - 25*l. Let j be (-132)/108 + 4/l. Let g be (11/33)/(-2*j/6). Solve -3*r + g = c - 2*c, 0 = 3*c - 2*r - 11 for c. 5 Let m be (4 + 156/(-40))/(2/20). Let c be m/(2/12 - (-1)/3). Solve 4*a = -c*k + 26 + 2, a + k = 9 for a. 5 Let g = 8 - 5. Let t(h) = -h**3 + 10*h**2 - 11*h - 6. Let x be t(2). Solve -x*k - 3*u + 9 = 0, -k - 5*u = g*k - 15 for k. 0 Let j be (-9 + 7)/(7/(-14)). Solve 4 + 24 = -y - 5*n, -j*y - n = 17 for y. -3 Suppose -d + 2*y = 4*d + 366, 2*d = 3*y - 153. Let w = -70 - d. Solve -w*j + 7*f = 2*f - 15, -3 = f for j. 0 Let l(m) = -5*m + 13 + 4*m + 0*m. Let q be l(7). Solve -3*t = o - 6, 0 = -3*o + q*o + 3*t for o. -3 Let o = -3340 - -3340. Solve -5*h = -3*t, -8*h + 12*h + t = o for h. 0 Let x(v) = 75*v - 3675. Let k be x(49). Solve -206*j = -4*i - 202*j, -i - 5*j - 30 = k for i. -5 Let w = 465 + -522. Let n be (-8)/3*w/38. Solve 5 = n*j - 3*u, -u = 4*j + 4 - 29 for j. 5 Let f = 3023 + -3018. Solve 2*m - 7 = -i + 2*i, -f*m - 4*i = -11 for m. 3 Suppose -27*l = -109 - 26. Suppose -4*r + l*x + 6 = 0, -5*x - 9 = 4*r - 35. Solve 2*j - 7 = -a, -5*j + r = 4*a - 9 for a. -3 Let k(r) be the third derivative of 5*r**4/24 + 15*r**3/2 + 99*r**2. Let t be k(-9). Let o be 2/3*15/2. Solve 2*q + 2*q = -i, -5*q + o*i = t for q. 0 Let r = 121 + -119. Let q be -1*r + ((-60)/(-4))/3. Solve 0 = q*j - 12, 3*m - j + 4*j = 0 for m. -4 Let l(s) = s - 7 - 12 + 7. Let m be l(12). Let k(g) = g**3 + 6*g**2 + 4*g. Let u be k(-5). Solve u*h + 4*y + 28 = h, -2*h + 4*y + 4 = m for h. -4 Let r = -3532 + 3537. Solve -3*x + 16*d + 16 = 18*d, -r*x + 24 = 2*d for x. 4 Let l = 5750 - 5740. Solve d + 3*y + 6 = 0, 11*d + l = 8*d - y for d. -3 Suppose 15*y + 2835 = -1050. Let x = y + 263. Solve -x*c - 4 = 2*o, -5*c - o = o + 4 for c. 0 Suppose 0 = 511*x - 491*x - 700. Solve 0 = 5*p + k + 13, k = -4*p - x + 24 for p. -2 Let c(r) = -819*r - 62. Let a be c(-8). Let w be a/413 + (9/7 - 1). Solve t - 2 = -n, 3*t - 4*n = -2*n + w for t. 4 Let f(w) = -w**3 + 13*w**2 + 12*w - 6. Let t be f(13). Let l = -4 - 6. Let d be t/14 - l/35. Solve 0 - 10 = -4*o - 2*u, 5*o + u - d = 0 for o. 2 Let o be (-6267)/(-15) + -8 + 276/30. Suppose -417*m = -o*m. Solve -4*n + 3 = 3*v - 5, m = 5*n - 2*v - 33 for n. 5 Suppose -9*w + 207 = 14*w. Let s be -2 + w*12/18. Let i be ((-26)/(-2 - 0))/1. Solve -5*c = s*x + i, -4*c + 6 = -7*c - 3*x for c. -5 Let j = -29
{ "pile_set_name": "DM Mathematics" }
= 2*h. Solve h = y + 2*f + 3, 5*f = 3*y - 0*f + 9 for y. -3 Let q(t) = -3*t - 12. Let k be q(-5). Suppose 0 = -2*r - 3*r. Solve 4*h - p + 12 = r, -2*h - k*p + 11 = 3 for h. -2 Suppose -3*w = -4*d - 12, 0*w + 43 = 5*w + d. Suppose 4*u - 5*c = -w, 3*c = -3*u - c + 25. Solve -i + 2 = 0, -5*p + u*i + i = 33 for p. -5 Let h(m) = -2*m. Let d be h(-1). Suppose c + d*c - 6 = 0. Solve 0*k + c = f + k, -k = -f + 8 for f. 5 Suppose 6*g - 25 = g. Suppose -5*f + 50 = g. Let b be (-6)/f - (-5)/3. Solve 3*p - 2*h = -b, -5*h - 18 = 3*p + 11 for p. -3 Suppose 4*z + 5*n - 1 = 2, 2*z + n = 3. Solve 2 = 3*b - z*f + 22, 4*f = -b + 12 for b. -4 Suppose -2*s + 11 = 3. Let g(q) = 2*q + 7. Let j be g(-5). Let z = j - -5. Solve s*h + 0*l + 15 = -l, 5 = h + z*l for h. -5 Suppose -2*r - v = -4*v - 13, 0 = -r + 2*v + 7. Let c(m) = m + 7. Let o be c(0). Solve 0 = -4*n + 3*h - 6*h - r, -4*h - o = 5*n for n. 1 Suppose 2*n = -4*f + 12, -3*f + 5*n = 1 + 3. Solve 25 = 5*a + f*y, 5*y = -4*a + a + 15 for a. 5 Let g(v) = v**2 + 3*v - 4. Let h(l) = -l**2 - 8*l - 4. Let t be h(-8). Let j be g(t). Solve j = 3*f - 2*d + 4, -3*f + 7*f = 5*d - 10 for f. 0 Let a = 16 + -8. Let n = -4 + a. Solve q + 3*r - 11 = -3*q, -n*r + 20 = 0 for q. -1 Suppose -4*u = -5*n + 2*n - 140, -2*n - u = 75. Let p be (-2)/(-3) + n/(-12). Solve -5*h + 2*h - 4*i = -2, -p*i = -2*h - 12 for h. -2 Suppose 24 = -0*j - 3*j. Let q be j/12 + 2/3. Suppose 4*m = p + 21, 3*m - 2 = -2*p - q*p. Solve 0 = -3*u + 5*f - 11, -4*u - m*f = u - 31 for u. 3 Let c(v) = 4*v**2. Let t(k) = 5*k**2. Let d(p) = -6*c(p) + 5*t(p). Let u be d(-2). Let x = 7 - u. Solve 0 = x*q + 3*b, -2*b - 3 = -q + 9 for q. 4 Suppose -3*v - 2 = 4*s, -16 + 2 = -5*v + 2*s. Solve 0 = v*m - 6, -3*m + 5 = -2*x + 4*x for x. -2 Let j(i) be the first derivative of -i**4/4 + 2*i**3 + 5*i**2/2 + 6*i - 3. Let z be j(7). Let l = 10 + z. Solve -4*o + 2*b - 20 = 0, -2*b = l*b for o. -5 Suppose 8*o - 6*o = 8. Solve -k + 14 = z + 4, 2*z = o*k - 10 for k. 5 Suppose 3*n = -p + 14, -5*n - p + 3 = -19. Solve 0*o = -o - 5*u - 6, 4 = -n*u for o. -1 Suppose -y + 2*q + 7 = 7*q, 3*y + 4*q = 10. Let f = y + 3. Suppose 5*w - f*d - 95 = 0, -d = -5*w - 3*d + 130. Solve n - 3*t = -6, 2*n = 7*n + 3*t - w for n. 3 Suppose 36 = -5*a + 46. Solve 0 = a*x + 2*p + 2 + 10, -x + 4*p = -4 for x. -4 Let j be (-3)/((-38)/16 + 2). Suppose b - j = -b. Suppose -7*h + 6 = -b*h. Solve 0*k - 1 = k, 0 = h*q + 5*k + 9 for q. -2 Let i be (3 + 3)/(3/2). Let p = 7 + -3. Let q = p - 2. Solve i*y = -5*o + 24, -q*y + o - 5*o = -18 for y. 1 Let w = -1 - 1. Let m = 0 - w. Suppose -4*j - 4*n + 24 = 0, -4*j - j = 3*n - 26. Solve 4*l - 16 = j*r, -m*l + 2*r = 2*l - 6 for l. -1 Let q be -3 - (-4 - (1 - -1)). Let u be (-3)/1*(q + -4). Solve -4*p - 20 = -v, -3*v + 17 = -u*p - 7 for p. -4 Let v be 1/((4/34)/2). Let k(f) = f**2 - 16*f + 7. Let i be k(16). Solve -4*j = 4*m + m + v, 0 = -5*m + 4*j + i for m. -1 Let z be -2 - 1*(-11 + (6 - 2)). Solve -z*y = -4*b - 6, y + 4*b = -21 + 3 for y. -2 Suppose -2*j + 8 = -2. Suppose -4*h + 56 = -4*v, -6*h = -h + j. Let c be (-5)/(-3) + (-5)/v. Solve 0*m - 1 = m + c*d, -3*m - 4*d = -3 for m. 5 Let v(o) = -o**3 - 13*o**2 - 11*o + 12. Let u be v(-12). Solve -6 = -3*d + 3*t, 2*d + u*d = -t + 13 for d. 5 Let h be 0/(3/12 + (-6)/(-8)). Solve 5*q + h*q + 7 = n, -3*q = 3 for n. 2 Let a = -4 - -6. Suppose 5*c = a*o - 7*o + 35, -2*c + 3*o - 6 = 0. Suppose w = c*w. Solve r + 19 = -2*r - 2*x, 2*r - 4*x + 2 = w for r. -5 Suppose 2*s + 2*n - 20 - 36 = 0, 4*s = 5*n + 67. Solve 0 = 3*x - 2*k - s, 0*k - 3 = -3*x - 3*k for x. 5 Let w = 39 + -21. Let l = 7 + w. Solve 3*y - 1 = -3*a - l, 0 = 2*a - 5*y - 19 for a. -3 Let s be 4 + -1 - 10/10. Solve n = -5*k - 0 - 5, -s*n = -k + 10 for k. 0 Let v(c) = -3*c - 1 + 0*c + 0*c. Let j be v(-1). Solve -3*l = -2*x - 2, -l = 3*l - 5*x + j for l. 2 Suppose 2*k + 2*w - 14 = 6*w, 2*k - 5*w = 17. Suppose 4*a + k + 17 = b, -a = -3*b + 10. Solve -3 - 2 = -5*t + b*z, 0 = -4*t - 3*z + 4 for t. 1 Let m(i) = 4*i + 0*i - 5 - i + 4. Let j(k) = -k + 7. Let n be j(5). Let c be m(n). Solve -r - r = -4, 3*r - 16 = -c*g for g. 2 Let i(k) = -k + 10. Let y be i(7). Solve -4*l = 3*t - 14, -y*l = 3*t - 11 + 2 for t. -2 Suppose 5*v = w + 8, -3*v - 5*w = -25 + 9. Suppose -4*d + 4 + v = 3*a, -10 = -5*a - 5*d. Solve -a*b = -u + 1, 0 = 3*u + u - 2*b + 2 for u. -1 Suppose 0 = 5*r - 0*r - 20. Let b be (-1)/(-1) - r/(-2). Suppose 5*q + 4*w - 12 = 25, 2*q + w - 13 = 0. Solve c - 5 = -b*d, -d + 7 = -0*c - q*c for d. 2 Let u = 0 - -2. Solve 0 = 4*v + t + t - 12, -2 = v - u*t for v. 2 Let n = 94 - 94. Solve -a = -i - 1 - n, 5 = 3*i + 5*a for i. 0 Let y = 7 + -7. Let u be y + -2 + 4 + 2. Let a(x) = 2*x - 5. Let m be a(u). Solve 4*b + m*g + 0*g + 22 = 0, -2*b + 5*g = -2 for b. -4 Suppose -2*j + 4 = 0, 3*x = 6*j - 2*j - 2. Suppose 5*k = 4*k + x. Solve k*h - 4*f - 5 = -1, -4*f = -4*h for h. -2 Let a(b) = -b**3 + 2*b**2 + 5*b - 4. Let d be a(3). Suppose z - 4*c = -5*c - 1, -2*z + d = c. Solve -5*m - 1 = 3*r - 20, -31 = -5*m + z*r for m. 5 Let x = 0 - 0. Suppose x*a = 5*a - 15. Solve -a*y + 5*y - 6 = 0, 5*y = -2*c + 13 for c. -1 Let x be (-2)/9 + 29/9. Suppose j - x = -0. Solve -j*r + 12 = -0*r - 2*y, 3*r = 3*y + 15 for r. 2 Let t = -17 + 24. Solve 2*a - 2 = 2*n, -2*a + t = n - 7 for n. 4 Suppose -t = 4*t - 15. Suppose 5*n = 3*s + 45, 4*n - 32 - 21 = -s. Let i = n + 0. Solve 2*x - 3*f - i = -7*f, t*x - 7 = 5*f for x. 4 Let h = 7 + -3. Suppose -18 = -4*p + 5*n + 22, 0 = p + h*n - 31. Let a = -11 + p. Solve t + 4 = -a*t - 4*z, 3 = 5*t - 3*z for t. 0 Let p be 8/(-5) + (-20)/50. Suppose -c - 6 = y, 5*y - 7 + 28 = 4*c. Let q be (-4 + y)*2/p. Solve 4*t - 3*x + 7*x + 32 = 0, q = -3*x for t. -5 Suppose 0 = 3*o + 5*z - 1, -6*o + 2*o - 2*z - 22 = 0. Let u be o/(-3)*21/14. Solve 0 = 2*v + 3*c + 10, -4 + 6 = 3*v - u*c for v. -2 Let c be ((-2)/4 + 1)*10. Suppose l = -5, f + 4*f + c*l - 20 = 0. Solve 5*k = -10, w + f - 1 = -5*k for w. 2 Let g = -15 - -31. Suppose -5*y + 9 = -g. Solve a - 4*v = y*a, -5*v + 10 = -5*a for a. -1 Suppose 2*o = -b + 9, 0*o + 9 = 3*o + 3*b. Solve -2*q + o = 4*j, -5*j + 8 = 4*q + 2 for q. -1 Suppose -y - 2 + 6 = 0. Solve -2*l + 6 = y*h, 5*l + 0*h - 15 = -h for l. 3 Let j(y) = y - 15. Let d be j(18). Solve -6 = -0*r - 2*r - d*u, 3*r - 5*u + 29 = 0 for r. -3 Let q(g) = -g**3 - 6*g**2 + 5*g - 10. Let l = 11 - 18. Let r be q(l). Suppose -6 = -5*x + r. Solve -2*f + 8 = x*w, 2*f - 3*w - 2*w + 20 = 0 for f. 0 Suppose 3*y + 16 + 8 = 0. Let g = -5 - y. Solve -7*w + 3*w + 16 = i, -g*w = -i - 19 for i. -4 Suppose -3*y = -7*y. Suppose c = 2*j + 1, -3*j + y + 6 = 0. Solve 6*n - 2*n = -5*f, 5*f - c*n = -45 for f. -4 Let q = 16 - 6. Suppose -3*u + q = 2*u. Let b be (-1 - (-1 - 5))*1. Solve 4*z + 13 = -5*r, b*z + 2*r + 5 = -u*r for z. 3 Let d = -7 + 11. Let b(t) = -t - 18. Let q be b(-13). Let l(n) = n + 5. Let x be l(q). Solve w + 3*k + x*k + 5 = 0, w + d = -2*k for w. -2 Let t be -4*1*(-12 + 3). Suppose 0*x - t = -4*x. Solve -2*i = 4*v - v + x, 4*i - 22 = 2*v for v. -5 Suppose 3*x - 20 = -2*x. Solve -x*a - 13 = -4*q + 19, q - 20 = 4*a for q. 4 Suppose 0 = 4*r + 4, -p - p + 5*r + 11 = 0. Suppose 5*h - 4*b - 22 = 0, 2*b = p*h + 3*b - 3. Solve -3*i + 10 = -h*j, 5*i - 4*i + 3*j = -15 for i. 0 Suppose 1 = i + 2. Let d be 3*(1 + -2)*i. Suppose 0 = 2*h - 4 - 0. Solve -u + 11 - d = 3*c, 3*c - 13 = -h*u for c. 1 Let z be 0 - -1 - (-1 + 2). Let u = 21 - 11. Suppose u - 50 = -4*s. Solve 5*l + 3*x + 7 + s = z, 23 = -5*l + 3*x for l. -4 Suppose 4*i = -4*x - 4, 2*i + 5*x = i - 5. Solve -5*f + 0*f + 4*q - 21 = i, 3*f = 5*q - 23 for f. -1 Let s = 1 - -1. Suppose s*z - 3*p + 6*p = 12, 0 = z + 4*p - 1. Suppose 0 = -4*w + 4*t + 92, z = t - 4*t. Solve -w = -5*a - 4*f, 2*a + 2*a + 2*f - 16 = 0 for a. 4 Let x be (3/15)/(21/210). Let m be (12/10)/(3/30). Solve -14 = 5*a - 2*f, 7*a - x*a + m = f for a. -2 Let o(q) = -q + 8. Let b be o(4). Suppose 5*z - 25 = 2*x, b*x - z = -4 - 1. Solve -2*m + 28 = m + 5*w, x = 4*m + 5*w - 29 for m. 1 Suppose 0 = -3*h, 2*h - 8 = -4*n - 3*h. Let z be ((-70)/25)/((-12)/30). Solve -4*c = -n*d + d + z, 5*c = 5*d - 5 for c. -2 Let r(a) = 2*a**2 + 3*a + 1. Let n be r(-4). Let o be 2/3 - 8/12. Suppose o = 4*c - n - 19. Solve -2*y + 1 = 3*k, -3*y + 0*k + c = -4*k for y. 2 Let t(a) be the first deri
{ "pile_set_name": "DM Mathematics" }
7 Suppose 2*i = x, -4*x - 3 = i - 3*x. Let s(y) = 8*y**2. List the prime factors of s(i). 2 Suppose 2*a = 5*d - 66, -4*d + 87 - 23 = 4*a. Let v be (-12)/(-6) - (6 + -1). Let u = v + d. What are the prime factors of u? 11 Suppose f - 3 + 5 = 0. Let b be -1 - f - (4 + -3). Suppose -4*n + 5*w + 41 = 0, b = n + w + 2*w + 11. What are the prime factors of n? 2 Let t(o) be the second derivative of o**3/6 + 3*o**2 - 4*o. Suppose 0*h = 2*h - 12. What are the prime factors of t(h)? 2, 3 Suppose -8*h + 13*h - 300 = 0. List the prime factors of h. 2, 3, 5 Let x be 2*((-4)/(-2) + 0). Suppose 3*v - 18 = v - b, x*v - 36 = -5*b. Suppose -7*a - 4*j = -2*a - 22, v = -3*a + 5*j. What are the prime factors of a? 2 Let h = 14 - 2. What are the prime factors of h? 2, 3 Suppose -187 + 529 = 3*s. Suppose 16 = -2*u + s. What are the prime factors of u? 7 Let j = -77 - -144. What are the prime factors of j? 67 Suppose g = -3*j + 17, 4*j + 1 = g + 5. Suppose -2*k = 4*a - 22, -4*a - 4*k + g + 24 = 0. What are the prime factors of (-18)/12*(-4)/a? 2 Let z(s) be the first derivative of s**4/4 - 7*s**3/3 + 3*s**2 - 4*s + 3. Let n be z(6). What are the prime factors of (n + -1)*(-30)/25? 2, 3 Suppose -5*i + 24 = -2*i. Suppose -2*k = 2*b + i, -3*b + k = -0 + 8. List the prime factors of (-1)/b*(8 + 1). 3 Suppose -4*w = 0, 0*l = -l + 3*w + 3. Suppose l*d = 2*a + 6, 5*a + 4 + 18 = 4*d. Let u(p) = p**2 + 5*p + 2. What are the prime factors of u(a)? 2 Suppose a - 5*x + 3 + 2 = 0, 4*x = -a + 13. Suppose 5*z - 5*p - 90 = 0, -a*p = -3*z + 26 + 36. List the prime factors of z. 2, 7 Let n(y) = -y**2 - y + 14. Let l(m) = m**2 + 7*m + 6. Let h be l(-6). List the prime factors of n(h). 2, 7 Let s(h) = 5*h**2 - 15*h - 11. List the prime factors of s(-7). 3, 113 Suppose -66*g + 92 = -62*g. What are the prime factors of g? 23 Let u be 4*32 - (1 - -2). Suppose -d - u = -6*d. List the prime factors of d. 5 Let v(l) = 3*l - 1. Let w be v(1). Suppose 0 = -i - w*i - 3. What are the prime factors of i/(2*1/(-10))? 5 Let r(o) = -20*o - 2. List the prime factors of r(-2). 2, 19 Suppose -12 + 0 = -4*j. What are the prime factors of (1 + (-16)/j)*-3? 13 Let z(p) = p**3 - p**2 + p + 2. Let f(o) = -o**2 - 6*o + 2. Let g be f(-6). Let t be z(g). Suppose t + 4 = v. List the prime factors of v. 2, 3 Suppose -10 = -4*u + 2*u. Suppose s - u = -5*n, 7*n = 3*n + 3*s + 23. Suppose 3*j - 5*r + n = 26, 0 = -3*r. What are the prime factors of j? 2 Suppose -3*j - 4*v + 504 = -431, -2*v + 10 = 0. What are the prime factors of j? 5, 61 Let f(z) = z**2 + 5*z - 4. Let d be f(3). List the prime factors of 8/d - (-76)/10. 2 Let v(g) be the third derivative of g**5/60 - g**4/8 - g**3/2 - g**2. What are the prime factors of v(-3)? 3, 5 Suppose 0 = 6*f - f + z - 93, -3*f = -2*z - 48. Suppose a - 2*a = -f. What are the prime factors of a? 2, 3 List the prime factors of -2*38/(-16)*4. 19 Let o(h) = -6*h + 4. What are the prime factors of o(-12)? 2, 19 Suppose -4*i = -3*i - 7. Suppose -z + i + 3 = 0. List the prime factors of z. 2, 5 Let c be -5*(-5)/(50/(-16)). List the prime factors of 438/14 - c/(-28). 31 Suppose 440 = -2*s + 7*s. List the prime factors of s. 2, 11 Let w(c) = -c**2 + 8*c + 14. Let k be w(10). What are the prime factors of 6/9 + (-128)/k? 2, 11 Let r(m) = -1 + 15*m - 1 + 2. List the prime factors of r(1). 3, 5 List the prime factors of (-103)/((-1)/(-3) - 90/108). 2, 103 Let z(k) be the first derivative of -k**3/3 - 4*k**2 + 13*k + 4. What are the prime factors of z(-9)? 2 Suppose -3*i = n + 8, -3*i = -7*n + 4*n - 24. Let m = n - -15. What are the prime factors of m? 7 Suppose 697 = 5*r - 23. What are the prime factors of r? 2, 3 Let s be 1/((-116)/39 - -3). Let p = -21 + s. What are the prime factors of p? 2, 3 Suppose 0 = 4*v - 0*w - 2*w - 1560, v - 383 = -3*w. List the prime factors of v. 389 Let q = 155 - 218. Let l = q - -88. What are the prime factors of l? 5 Let y(f) = f**2 - 9*f + 4. Suppose 0 = -4*m + 8*m - 36. What are the prime factors of y(m)? 2 Let g = 14 - 8. Suppose -4*n - 5*t - 17 = 0, -t - 15 = 2*t. Let x = g + n. List the prime factors of x. 2 Let s(f) = 1. Let m(g) = -5*g - 20. Let l(u) = -m(u) - 20*s(u). Let z be l(7). Suppose 5*o - 4*v - z = -v, -o = 2*v - 20. What are the prime factors of o? 2, 5 Suppose 3*d = -5*z + 251, -4*d = z + z - 106. What are the prime factors of z? 7 Suppose -2*h + 586 = -176. What are the prime factors of h? 3, 127 Suppose d = 5*d - 4. Let w be d - (-1)/(1 + 0). What are the prime factors of (w/4)/((-3)/(-96))? 2 Let u(n) be the second derivative of -n**3/2 + 2*n**2 - 4*n. Let z be u(3). What are the prime factors of z*(1 + (-51)/15)? 2, 3 Let s be ((-15)/(-2))/(6/12). Let g = -11 + s. What are the prime factors of 43/g - 3/(-12)? 11 Suppose 4*p - 4 = -o, 4*p = o + 2*o - 12. Suppose -2*y + 3*n + 9 - 29 = 0, 3*y - n + 16 = p. What are the prime factors of 1/y - 82/(-8)? 2, 5 Suppose 5*w - 20 = -0*w. Suppose 5*r - q - 41 = 2*q, w*r = -2*q + 46. Suppose 0 = -0*t + 2*t - r. What are the prime factors of t? 5 Let r = -15 - -24. What are the prime factors of r? 3 Let w be ((0 - 4)*-5)/1. Suppose 3*b - 7 = 2, -4*i - 5*b = -31. Suppose 0*q = 5*g - 2*q - w, -i*q = 3*g + 14. List the prime factors of g. 2 Let t(s) = 15*s + 3. Let u be t(4). Suppose 5*x = u - 8. What are the prime factors of x? 11 Let r be 320/12 + (-4)/6. Let w = -14 + r. What are the prime factors of w? 2, 3 Suppose -3*q = -6*q. Let j = 35 - 14. List the prime factors of (2 + q)/(6/j). 7 Let m = -2 + -1. Let s = m + 5. Suppose -3*w + 35 = s. What are the prime factors of w? 11 Suppose 3*r = -95 + 572. What are the prime factors of r? 3, 53 Let c = 13 - 6. Suppose c*l - 80 = 39. What are the prime factors of l? 17 Let s(m) = m**2 + 5*m + 3. Let p be s(-4). Let n = p + 6. List the prime factors of n. 5 Let f(h) = -h**2 + h + 3. Let m be f(0). Suppose -m*v = -2*g + 2, 8 = 5*v - g + 2. Suppose -v*n + n = -3. List the prime factors of n. 3 Let q(x) = -2*x - 6 + 2*x - 2*x. Suppose -l = 7 - 3. List the prime factors of q(l). 2 Let k be ((-40)/(-25))/(2/5). List the prime factors of 3*(-1)/k*-4. 3 What are the prime factors of 33 - 8/(-2) - 1? 2, 3 Let c(r) = 9*r**3 + 3*r**2 + 11*r + 7. Let b(a) = -5*a**3 - a**2 - 6*a - 4. Let g(p) = -5*b(p) - 3*c(p). What are the prime factors of g(-2)? 5 Let d = -15 - -43. What are the prime factors of d? 2, 7 Suppose -2*w - 3*w = -435. List the prime factors of w. 3, 29 Let i(f) = -2*f**2 - 5 + f + 5 + 1 - f**3. Let j be i(-1). What are the prime factors of (24/2 - -1) + j? 2, 3 Suppose -2*f + 23 = -21. Suppose -2*w + f = 5*c, w + 4*c - 7*c - 33 = 0. List the prime factors of (-44)/(-7) + (-6)/w. 2, 3 Let l(t) = -t**2 + 5*t - 2. Let h be l(3). Suppose 4*j = h*v + 60, 2*j - v = 3*j - 11. List the prime factors of j. 13 Suppose 12*v - 63 = 357. What are the prime factors of v? 5, 7 Suppose -g + 0*g + 41 = 0. What are the prime factors of g? 41 Suppose -5*q = -58 - 52. What are the prime factors of q? 2, 11 Let l be 1 + 2 + (1 - 1). Suppose 0 = -3*m + l, 5*v - m = 2*m + 32. List the prime factors of v. 7 Let i(f) = f**3 - 5*f**2 + 6*f - 5. Let p be i(4). Suppose 0 = p*w - 4*w - x + 8, -4*x - 16 = -2*w. What are the prime factors of w? 2 Let m(x) = -x**3 + 6*x**2 + 9*x - 6. Let j be 8/2 - (6 - 4). Suppose j = 4*v - 26. List the prime factors of m(v). 2 Suppose 5*p = 5*t - 1575, -5*t + 6*p = 5*p - 1591. List the prime factors of t. 11, 29 Let h(t) = t**3 - t**2. Let n be ((-4)/10)/((-4)/10). Let w(u) = 5*u**3 + u**2 - 1. Let o(i) = n*h(i) + w(i). List the prime factors of o(1). 5 Suppose -h = -3*t - 0 - 2, -2*t = 2*h + 28. What are the prime factors of (36/h)/((-18)/120)? 2, 3 Let f = 497 - 177. List the prime factors of f. 2, 5 Let t = 7 - 10. Let y = 6 + t. List the prime factors of 16/y - 6/(-9). 2, 3 Suppose 3*q - 232 = q. List the prime factors of q. 2, 29 Let g = -1 + 109. List the prime factors of (g/10)/(2/5). 3 Let w = 77 - -8. List the prime factors of w. 5, 17 Let o be (1/2*0)/1. Let k be (1 - 2)*(o - 0). Suppose -2*f - 3*i = -k*i - 12, 0 = 2*f - 3*i - 12. What are the prime factors of f? 2, 3 Let s be (-10)/(-35) + (-66)/(-14). Let r = 21 - s. List the prime factors of r. 2 Suppose h + 1 = -1. List the prime factors of h/(6/(-3)) - -1. 2 Suppose -19 = -5*h -
{ "pile_set_name": "DM Mathematics" }
and o? 36 Let f = -24 - -32. What is the lowest common multiple of f and 11? 88 Suppose -4*v - 9 = -41. Let r = -1 - -4. What is the smallest common multiple of 11/r*3 + -1 and v? 40 Let f(m) = 17*m**3 - 2*m + 1. Let j(h) = -h**3 - h**2 - 2*h - 2. Calculate the smallest common multiple of j(-3) and f(1). 176 Let g(j) = -j**2 + 5*j - 1. What is the smallest common multiple of 7 and g(4)? 21 Calculate the common denominator of 1 + 555/(-36) + 2 and (1/5)/((-56)/940). 84 Let j = 71669/3162 + 1/1054. Let p(u) = u**3 + 6*u**2 + 2*u - 4. Let s be p(-6). What is the common denominator of j and (-3)/(-6) + (-190)/s? 24 Let h(p) = -p**3 - 2*p**2 - p. Let m be h(-2). Calculate the common denominator of 109/33 - m/(-6) and -13/2. 22 Suppose 124 - 9 = -5*h. Calculate the common denominator of -97/10 and h. 10 Let m(g) = -g + 16. Calculate the lowest common multiple of 18 and m(6). 90 Let s be -350 + -5 + 3/(-1). Let v = -42725/22 + 1947. Find the common denominator of 10/(-30) + s/(-120) and v. 220 Let y = -11 - -14. Let m = -2 + y. What is the least common multiple of m and 9? 9 Suppose 0 = 3*v + 9, -2*f - 2*v - 663 = -93. Calculate the common denominator of (f/(-36))/(22/(-6)) and 102/8 - 2 - 0. 44 Suppose 2*j + 3*j - 160 = 0. Let k = -7 + 10. Suppose 4*t + 3*l + j - 107 = 0, -5*l - 49 = -k*t. What is the least common multiple of t and 18? 18 Let x = -305/2 - -150. Calculate the common denominator of x and ((26 - 1)/(-1))/(-11). 22 Let v(o) = -2*o + 5. Let c be v(-3). Let b = c + -8. Calculate the lowest common multiple of b and 2. 6 Let m = -11714 - -117031/10. What is the common denominator of 29/5 and m? 10 Let b(m) = m**2 - 14*m - 2. Let n be b(10). Calculate the common denominator of (-875)/n + (-6)/2 and -1/10. 30 What is the common denominator of 89/8 and 477/24*((-20)/15)/2? 8 Suppose 4*p - 2*h + 147 - 965 = 0, 2*h = p - 200. Let b = -2883/14 + p. Find the common denominator of 59/6 and b. 42 Suppose -4*s + 3*u + 39 = 2*u, -37 = -4*s + 3*u. Calculate the smallest common multiple of (-20)/(-3) - 4/6 and s. 30 Let a(o) = o + 16. What is the smallest common multiple of 5 and a(-9)? 35 Find the common denominator of (-14)/(-18)*(-468)/24 and 76/9. 18 Let f(k) = 9*k**2 + 4*k - 1. Let t be f(-3). Suppose -4*w + 0*w - t = 0. Let n = w + 33. What is the smallest common multiple of 4 and n? 16 Let d(v) be the third derivative of v**5/60 + v**4/8 - 7*v**3/6 + v**2. Suppose 0 = 3*n - 1 - 2. Calculate the lowest common multiple of d(-6) and n. 11 Let x be (8/(-10))/(6/45). Let b(d) = -3*d - 14. Calculate the lowest common multiple of b(x) and 20. 20 Suppose 3*l = 0, 0*l = u + l. Let x(v) = -v**2 - 8*v - 7. Calculate the lowest common multiple of -2*(u + 2 + -13) and x(-5). 88 Let t = -941/2 + 480. Let s be (-20002)/6 - 2/(-3). Let v = s + 33273/10. What is the common denominator of t and v? 10 Let j = 39278/9 + -4370. What is the common denominator of j and 16? 9 Suppose 3*a + 10 = -5*h + 28, -3*h - a + 10 = 0. Let z(f) = 12*f. Let w be z(h). Calculate the common denominator of (-1)/(-4) - (-141)/w and -77/6. 6 What is the common denominator of -61/2 and -1 + 2 + 33/(-44)? 4 Calculate the common denominator of -13/7 and (219/8)/(126/56). 42 Let v = -2/65 + -443/390. Let z be (-770)/450 - (-2)/9. Let k = -4/45 - z. Find the common denominator of v and k. 30 Let j = -3 + 1. What is the common denominator of (-2)/(-5) + (-356)/(-110) and 2 - ((-128)/3)/j? 33 Suppose -3*u - 2*u + 15 = 0. Let n be (-1)/18*(-114)/u. Let r = 655/18 + n. Calculate the common denominator of r and 63/2. 2 Let q = 12 + 0. Suppose -4*v + 3*u + 201 = 0, 2*u = 4*v - 106 - 100. Suppose 0 = 2*i - v + 18. What is the smallest common multiple of q and i? 36 Let l(a) = a**2 - 2*a - 35. What is the smallest common multiple of l(9) and 24? 168 Let o = 409 - 227. Suppose 2*w + w = 5*t - 153, -2*t = w - 59. Find the common denominator of 3/t*o/4 and -9/10. 20 Let s(u) = -85*u**3 - u**2 - u - 1. Let h be s(-1). Suppose 5*w = -10, -5*x + 0*w = 3*w - h. Let v = -4 + 14. Calculate the least common multiple of v and x. 90 Suppose -7 = -c + 3. Let t(n) = -n**2 - 7*n + 3. Let i be t(-6). Suppose -3*z = 2*h - 45, i = -0*z + 3*z. What is the smallest common multiple of c and h? 90 Let l = -12 - -16. Calculate the lowest common multiple of 10 and l. 20 Let y = -21 + 25. What is the lowest common multiple of 4 and y? 4 Let w(z) = -237*z - 2. Let p be w(2). Let y = -93198 - -468413/5. Let m = p + y. What is the common denominator of m and -37/11? 55 Suppose 4*v + 20 = 4*l, l - 3 = 2*v + 6. Let a be 0 + 69 + 0/l. Find the common denominator of -73/9 and 0 + a/(-12) - 1. 36 Let z(k) = -k**2 + 9*k - 2. Let i be z(8). What is the common denominator of 29/10 and (-13)/5*3/i? 10 Let u = -23 + 21. Let k = u - -10. What is the least common multiple of k and 4? 8 Let a(b) = 4*b - 6. Let t(o) = -5*o + 7. Let r(s) = 3*a(s) + 2*t(s). Calculate the smallest common multiple of (-31)/(-3) - 2/6 and r(4). 20 Let p(m) = -m**3 - 2*m**2 + 3*m - 2. Let q = 18 + -10. Calculate the lowest common multiple of q and p(-4). 72 Let a = 25573/8 - 3207. What is the common denominator of a and 39/4? 8 Let j be (6 - 4)/(1 + 1). Let a = -6/203 - -8765/1218. Calculate the common denominator of a and -4 - (85/15 - j). 6 Let n = -8507/6 + 1424. Suppose 0 = 5*t - 2*q + 148, 0 = -0*t + 5*t - 4*q + 146. Calculate the common denominator of 1/(-1) - t/33 and n. 66 Let c = -745/28 + 244/7. Let h be (2 + (60 - -1))*-3. Find the common denominator of c and h/(-30) - (-1)/(-1). 20 Suppose 4*v - 6*v + 20 = 0. Calculate the smallest common multiple of v and 20. 20 What is the common denominator of 14/4*1/8 and 1/16? 16 Suppose 2*v + z = -38, -3*z - 48 = 2*v - 7*z. Let s = v + 35. Let m = s - 6. Calculate the lowest common multiple of 3 and m. 9 Let z = 15696 - 502331/32. Calculate the common denominator of z and 2/7 - 418/(-56). 32 Suppose 1340 = -4*m - m. Let j = 581/2 + m. What is the common denominator of -17/16 and j? 16 Let p = -14 - -8. Let r(n) = n**2 + 3*n + 2. Let g be r(p). Find the common denominator of (-10)/4*(-29)/g and 49/8. 8 Let d = -6 + -1. Let n = d - -11. Let r = n + 2. What is the smallest common multiple of r and 6? 6 Suppose -f + 2*f = 4*o + 12, -4*o = -4*f + 12. Let u(a) = 7*a - 4. Let w(n) = -n. Let b(k) = -u(k) - 5*w(k). What is the least common multiple of 7 and b(o)? 70 What is the smallest common multiple of 5/(-5) + 5 + -1 and 9? 9 What is the common denominator of (-146)/20 - (-1 - -3) and 94/8*(-6)/(-33)? 110 Suppose -10*h = -4*h - 54. What is the lowest common multiple of h and 24? 72 Calculate the least common multiple of 22 and (-40)/5*1/(-2). 44 Let a be ((-5)/(-25))/(208/(-4330)). Let n = a - -27/26. Find the common denominator of ((-110)/14)/(0 + -1) and n. 56 Let o = 3319/1313 - 30/101. What is the common denominator of o and 65/4? 52 Let w be 3*(2/(-3) - 0). Let z(p) = -p**3 + 2*p. Let i be z(w). What is the common denominator of i/18 + 7 + 0 and -1/2? 18 Find the common denominator of -17/22 and 14/(-6)*(-351)/576. 704 What is the common denominator of 4 + -6 + 1 - 126/(-50) and 34/15? 75 What is the common denominator of (-1 - 137/45)/((-54)/(-81)) and 131/12? 60 Let p(h) = h**2 + 6*h - 4. What is the least common multiple of 21 and p(-7)? 21 Suppose -4*l + 43605 = 6757. Let k be (-294894)/32 - (0 - 0). Let q = k + l. Calculate the common denominator of q and -71/6. 48 Find the common denominator of 5/10 + (-38)/(-40) and 44/(-64) - 4/(-2). 80 Suppose -o + 5*o = 4*x - 4, 5*o = -x - 17. Let z = x - -14. What is the lowest common multiple of 8 and z? 24 What is the common denominator of 125/12 and (-316)/(-2880) + 4/(-18)? 240 Let h be -1 + -1 + 4 - 32. Let r be (-66)/h + 2/(-10). Suppose -77 = -4*o - y, 5*o - 79 = r*o - 5*y. Calculate the least common multiple of 4 and o. 36 Let o = -1249/518 - -2/37. Find the common denominator of o and -151/24. 168 Let l = -37 + 43. Suppose -3*n - 2*n - 1 = -4*j, n + 5*j = 23. What is the least common multiple of n and l? 6 Let k(f) = f - 4. Suppose 6*u = 3*u + 6. What is the least common multiple of k(5) and u? 2 Let g = 154119/22 - 7007. Find the common denominator of g and -59/14. 154 Let q = 11951/4 + -3004. Find the common denominator of q and 8/(-6)*1148/(-672). 36 L
{ "pile_set_name": "DM Mathematics" }
10/25 - (2 - 52/(-5)). Does 16 divide c/30 - (-1806)/15? False Let x(f) = f**3 + 6*f**2 - 8*f - 1. Let m be -6 - (2 + -4 + 1). Is 8 a factor of x(m)? True Let m(k) = -5*k - 3*k**2 + k**3 - 2*k**2 - 2*k**2 + 11*k**2 + 2. Let i be m(-5). Does 17 divide (16/3)/(i/21)? False Let s be (3/(-2))/(1/4*-2). Suppose -m - s*l = -0*m - 169, -3*m - 2*l = -486. Is 20 a factor of m? True Suppose 0*i + 138 = 2*s - 5*i, -4*i - 362 = -5*s. Let n be (-453)/13 + 4/(-26). Let v = n + s. Is v a multiple of 13? True Let z(l) = 3*l**2 + 2*l + 1. Let n be z(-1). Let q be 21 - (-4)/4 - n. Let m = q - -15. Is 7 a factor of m? True Let i(d) be the second derivative of 9*d**4/4 - d**3/6 + 22*d. Does 10 divide i(3)? True Let t be ((0/3)/4)/(-2). Suppose t*d + 2*d = 52. Does 13 divide d? True Let w(s) be the third derivative of s**5/6 + 2*s**3/3 - 180*s**2. Suppose -2*p + 3*z - 5*z = -8, 0 = -3*p + z + 4. Is 22 a factor of w(p)? True Suppose -4*p = 6*c - 528, 3*c - 2*p - 2*p = 264. Does 88 divide c? True Suppose 0 = z + 2*s + s - 498, 496 = z + s. Does 45 divide z? True Let k be (-20)/(-30)*(-27)/48*-8. Suppose 3*v - 155 = 4*u - 51, -3*u + 111 = 3*v. Suppose -k*c - c + v = 0. Is 2 a factor of c? False Let w = -15 + 20. Suppose w*p + 680 = 15*p. Is 5 a factor of p? False Suppose -8 = -3*q - 20, 2*p + 52 = 4*q. Let o = p - -70. Is 18 a factor of o? True Suppose 3*n - 9 = 57. Let t = 28 - n. Is 2764/52 - t/39 a multiple of 12? False Suppose -v + 2*v = -4*s + 128, -560 = -4*v - 4*s. Suppose v = 2*d + 3*r, r + 4 = 2*r. Is 22 a factor of d? True Suppose 4*y - 4*t = 1208, 2*y - 4*t = -70 + 674. Suppose -2*f + 0*f + y = 2*u, 0 = 4*f - u - 609. Is f a multiple of 29? False Let a = 55 + -11. Let g = -20 + a. Is 6 a factor of g? True Let x = -314 + 61. Let z = x - -528. Suppose 0 = 2*k + 3*k - z. Is 11 a factor of k? True Let f = 26 + 14. Is 4 a factor of f? True Let i = -17 + -159. Is 5 a factor of 26/(-39) - (i/3 + -1)? False Is (133/35 - 4)/(3/(-2265)) a multiple of 5? False Let z(l) = l**3 - 6*l**2 - 12*l + 4. Let q be 4*(4 - (-2)/(-1)). Does 9 divide z(q)? True Let y(f) = -f**2 + 5*f - 105. Let a be y(0). Let o = a + 196. Does 28 divide o? False Suppose -49 = -4*t + 5*t. Is 10 a factor of (-7)/2 - 3/(-6) - t? False Let c = -199 + 374. Does 23 divide c? False Suppose 0 = 11*u + 34 - 199. Is u a multiple of 5? True Let r = -6 + 44. Suppose 82 = 2*z - 3*s - s, s - r = -z. Does 6 divide z? False Suppose -2*w - 4*s + 829 = -7*s, 5*w = 3*s + 2086. Suppose 2*g + 330 = 9*c - 5*c, 4*g = -5*c + w. Is c a multiple of 4? False Suppose -t - 5*j = 2*t - 33, 3 = 2*t - 3*j. Suppose t*l = 3*l + 240. Is l a multiple of 21? False Let y = 686 + -678. Is 4 a factor of y? True Let x(t) = -12*t + 2. Suppose 0 = -b + 1 - 7. Is x(b) a multiple of 31? False Suppose 5*f = -5*z, -2*z - 5*f = -3*z + 12. Suppose m = l - 230, 0 = 7*l - z*l + 4*m - 1177. Does 38 divide l? False Let z be 3 - ((-6)/10 + (-30168)/20). Suppose 0 = -5*q + 13*q - z. Is q a multiple of 27? True Let f be (2/(-5))/(9/(-45)). Suppose 0 = f*v + 3*v. Suppose 4*x + x - 260 = 4*l, v = 5*l. Is 19 a factor of x? False Suppose 3*r = -3*d + 12 - 39, -3*r + 13 = -5*d. Let u be (-111)/d - 1/5. Let w = 36 - u. Is 7 a factor of w? True Let i = 401 + -403. Let g(f) be the third derivative of 2*f**5/15 + f**4/12 - f**3/3 - f**2. Is g(i) a multiple of 9? False Let x(t) = -t**3 + 6*t**2 - 7*t - 1. Let u be x(4). Suppose -5*j = -u*q + 5*q - 184, -2*q = 2*j - 178. Is 29 a factor of q? True Suppose -17*j = -29*j + 6660. Is j a multiple of 19? False Suppose 12*r - 8*r - 2172 = 0. Suppose -4*u - 5*d + r = 0, -3*d = 2*u + d - 276. Does 23 divide u? False Suppose o - 5 = 0, -2*l + 6*l - 22 = -2*o. Suppose -l*m + 4*m - 48 = 0. Suppose h + 3*h - m = 0. Is h a multiple of 4? True Suppose -3*i + 18 + 0 = 0. Suppose 0 = u + 2 - i. Suppose -u*z - 3*a = -147, -5*z - 2*a = a - 183. Is z a multiple of 9? True Let w(n) = 2*n**3 - n**2. Let p be w(1). Let g be (p - 0)*-6*2. Is 4/g - (-164)/6 a multiple of 11? False Let o(m) = 6*m**2 + 13*m - 137. Is 11 a factor of o(-11)? False Suppose 0 = -3*d - 3, d = 99*a - 95*a - 12289. Does 64 divide a? True Suppose 22*i + 13*i = 490. Is 7 a factor of i? True Suppose 4*x + 1 = -3. Let b be (-8)/4 - (-5 - x). Suppose -j + 5*z + 2 = -2*j, b*z + 58 = 4*j. Is 13 a factor of j? True Is 2/15 - (-29326)/330 a multiple of 3? False Suppose 0 = -4*j - 5*x - 1084, 2*x = -x + 12. Is ((-5)/(-10))/((-3)/j) a multiple of 23? True Is 64/(-24)*(-942)/4 a multiple of 16? False Let w = -5 - -9. Suppose 2*n = -4*p + 30, -p = -w*p + 2*n + 19. Is 3 a factor of p? False Let l(p) = 6*p**3 - 7*p**2 + 12. Let a be l(6). Suppose -30*h + 34*h - a = 0. Is h a multiple of 22? True Suppose -166 - 770 = -13*b. Is 6*(12/b)/((-2)/(-18)) a multiple of 3? True Let s(v) = -2*v**3 - 8*v**2 + 4*v - 20. Is s(-10) a multiple of 76? True Suppose r = 3*u - 3, 4*r + 23 = -4*u + 75. Suppose 1584 = r*k + 9*k. Is k a multiple of 18? False Suppose 592 = -4*b - 2*w, 4*b + 5*w + 368 = -224. Let l = b - -326. Does 8 divide (-4)/22 + l/11? True Let o = -461 - -586. Does 5 divide o? True Let j = 24 + 5. Let f = j - 26. Suppose f*m + 88 = 5*m. Does 11 divide m? True Let w(n) = -6*n + 9. Suppose -4*h = c + 72, -3*c + 54 = -2*h + c. Is w(h) a multiple of 20? False Suppose 3*p - q - 443 = 0, -2*q - 604 = -4*p + 2*q. Suppose -10*i - 10*i + 4420 = 0. Let f = i - p. Does 25 divide f? True Let c(r) = 39*r - 137. Does 44 divide c(6)? False Suppose 3027 = v - i, -20*i - 6024 = -2*v - 24*i. Does 12 divide v? False Let d(m) be the second derivative of m**5/20 - m**4 - m**3/2 - 11*m**2/2 + 5*m. Let o be d(12). Does 22 divide ((-15)/(-5) + -5)*o? False Let m(c) = -c**2 + 5*c + 1. Let w be m(4). Suppose b = -w*l + 61, -4*b + 2 + 242 = 3*l. Is 21 a factor of b? False Let z = 840 + -574. Does 19 divide z? True Let k = -879 + 1152. Is 13 a factor of k? True Let t(c) be the second derivative of -1/2*c**2 + 1/3*c**3 + 0 + 53/12*c**4 - 6*c. Does 17 divide t(1)? False Suppose -3*t + w + 709 = 0, 6*t - 4*t + w - 476 = 0. Does 45 divide t? False Let g = -3 - -5. Suppose 75 = g*p - 169. Is p a multiple of 21? False Suppose 4*v + 0*v = 940. Let h = 330 - v. Does 19 divide h? True Suppose -3*j = -0 - 27. Let z(g) = -1 + 66*g**2 + 12*g - 2 - g**3 - 58*g**2. Is z(j) a multiple of 12? True Suppose -3*n + 100 = -554. Does 9 divide n? False Let r be 9/(-45) + (-21)/(-5). Suppose -5*i - 276 = r. Let u = i - -80. Is u a multiple of 24? True Suppose -3*k + 2568 = 3*k. Suppose k = 5*x - 2*r, 5*x - 3*r = 89 + 343. Is 6 a factor of x? True Suppose -2*f = 3*z - 23, 3*z = -0*f - 4*f + 31. Let p be 15/6 - 1/(-2). Suppose -l - 4*l = p*h - 83, -l - 80 = -f*h. Is 8 a factor of h? False Let g(i) = -3*i**3 - 5*i**2 - 18*i - 24. Does 23 divide g(-6)? True Suppose 0 = -5*p - 3*d + 4392, -5*d + 3524 = 15*p - 11*p. Is 4 a factor of p? True Let l(d) = d**2 + 10*d + 20. Let b be l(-8). Let h(v) = 2*v**3 - 4*v**2 - 6*v + 9. Is h(b) a multiple of 7? True Let l = -380 - -764. Is l a multiple of 48? True Let t(q) = -q**2 + q - 8. Let a be t(-7). Let w(i) = -i**3 + 4*i**2 - 4*i + 4. Let p be w(3). Is 1/(p - (-62)/a) a multiple of 8? True Let u(z) = 2*z + 19. Let h be u(-14). Let y(p) = -p**2 - 10*p - 8. Let b be y(h). Is 3 a factor of 697/34 + b/2? True Let m(q) be the third derivative of 197*q**4/12 + q**3/3 + 8*q**2. Let x be m(1). Is (1/3)/(11/x) a multiple of 3? True Let o(j) = 20*j**2 - j - 45. Does 23 divide o(-5)? True Let f(y) = -128*y + 20. Is 55 a factor of f(-5)? True Let v = -31 - -45. Suppose -d - 5*x = -15 - v, -5 = x. Is d a multiple of 5? False Let g = 5 + -3. Suppose -1 = -v + g. Suppose 3*h - 28 = -r, 2*h - 28 = -4*r + v*r. Does 8 divide r? False Is (1132/(-16))/(-4*7/896) a multiple of 47? False Suppose 0 = 5*x + x - 30. Suppose x*r - 35 = 20. Does 4 divide r? False Suppose 2*o = -4*o. Suppose -20 = -5*j - o. Suppose -p = j*d - 3*p - 58, 0 = p - 1. Is d a multiple of 7? False Let s(z) = z**2 - 4*z - 4. Let u be (-7)/((9 - 6)*(-1)/(-3)). Is 12 a factor of s(u)? False Suppose -11*a - 74 = 3. Let k(y) = -y**3 - 7*y**2 - 6*y - 13. Does 6 divide k(a)? False Let c be (-22)/55 + 44/10. Let f be (47/4)/(c/16). Let s = 67 - f. Does 7 divide s? False Is 43 a factor of 0/(-3) + -9 + 568? True Is (30/4)/(0 + 18/5808) a multiple
{ "pile_set_name": "DM Mathematics" }
-5*f(o) + 8*x(o). -2*o**3 + 61*o**2 + 2*o + 5 Suppose 2*s = 150*t - 152*t + 20, -4*t + 3*s = -12. Let h(l) = -l - 1. Let c be -2 - -1 - (-10)/2. Let d(r) = -c*r + 1 - r + 6*r. What is t*d(y) + 7*h(y)? -y - 1 Let x(b) = -9*b**2 + 173*b + 24. Let n(h) = -16*h**2 + 347*h + 43. Give 10*n(i) - 18*x(i). 2*i**2 + 356*i - 2 Let g(z) = -z - 1. Let m(q) = 39 + 35 + 3*q - 5*q - 24. Determine -3*g(u) + m(u). u + 53 Let n(j) = -j. Let l(a) = -4*a + 2. Suppose -5*h + 29 = u, 3*u = 9 + 3. Suppose 6*m - 4*m = h*b - 21, 3*b = -3*m. What is m*n(g) + l(g)? -g + 2 Let h(p) = -3*p**2 + 16*p - 4. Let i(q) = -4*q**2 - 2*q - 21. Let x(b) = -2*b**2 - 8*b - 15. Let u(a) = 4*i(a) - 5*x(a). Determine -9*h(o) + 4*u(o). 3*o**2 - 16*o Let h(o) = -2*o**3 - 5*o**2 - 7*o - 9. Let a be h(-3). Let w(l) = -3*l. Let r(p) be the third derivative of -23*p**4/24 - p**2. Calculate a*w(g) - 3*r(g). 6*g Let s(g) = 7*g + 2. Let i(u) = -54 + 12 + 12 + 18 + 13. What is 6*i(z) - 3*s(z)? -21*z Let k(q) be the second derivative of q**3/3 - 7*q**2/2 - 2*q. Let g be k(5). Let p(m) = -m - g - 11 + 14. Let h(f) = 10*f. Give h(n) + 12*p(n). -2*n Let r = -2565 - -2568. Let z(o) = -4*o**3 + 4. Let x(l) = -7*l**3 + 8. What is r*x(u) - 5*z(u)? -u**3 + 4 Let a(c) = 100*c + 121. Let q(w) = -99*w - 96. Determine -4*a(g) - 5*q(g). 95*g - 4 Let l(b) = -3920*b**3 - 94*b**2 + 8*b. Let k(u) = 2614*u**3 + 59*u**2 - 5*u. What is 8*k(p) + 5*l(p)? 1312*p**3 + 2*p**2 Let j(z) = 2*z**2 + 2*z - 1. Let l(t) = 431*t**2 + 14*t - 6. Give -7*j(s) + l(s). 417*s**2 + 1 Let g(q) = 5*q**3 - 4*q**2. Let k(a) be the first derivative of 3*a**4/4 - 2*a**3/3 - 344. Give -4*g(m) + 7*k(m). m**3 + 2*m**2 Let b(p) = -7*p + 3. Let m(y) = 477*y + 16. What is -4*b(s) + m(s)? 505*s + 4 Let x(b) = 5*b**2 - 2*b + 1. Let p(c) be the first derivative of -14*c**3/3 + 3*c**2 - 2*c - 100. Suppose -20 = -42*q - 146. Calculate q*p(f) - 8*x(f). 2*f**2 - 2*f - 2 Let h(y) = y**3 + 36*y**2 - 116*y + 32. Let r be h(-39). Let q(a) = -a - 6. Let t(n) = -3*n - 11. Let b be (77/14 - 6)/(2/(-16)). Give b*t(x) + r*q(x). -5*x - 2 Let m(j) = 2 + 6 + 7 - 7 + 11*j + 7. Let w(z) = 5*z + 7. Give -4*m(h) + 9*w(h). h + 3 Let a(z) = 0*z - 2 + z + 1. Let w be 3/(6/(-178)) - (-1)/(-1). Let n = w + 89. Let y(p) = -21*p + 18. Determine n*y(o) - 18*a(o). 3*o Let q(r) = 220*r**3 - 14*r**2 - 136. Let o(f) = 147*f**3 - 10*f**2 - 90. Give -7*o(h) + 5*q(h). 71*h**3 - 50 Let k(l) = -324*l**2 + 7*l + 9. Let f(o) = -486*o**2 + 10*o + 12. What is 5*f(v) - 7*k(v)? -162*v**2 + v - 3 Let l(z) = -6*z**2 + 4*z - 6. Let o(u) = 5*u**2 - 3*u + 5. Let c(j) = -j**2 + 12*j - 2. Let f be c(5). Suppose 0 = 8*g - f + 1. What is g*o(h) + 3*l(h)? 2*h**2 + 2 Let u(a) = -80*a**3 - 74*a**2 - 32972*a + 37. Let t(d) = 13*d**3 + 12*d**2 + 5495*d - 6. Determine -37*t(v) - 6*u(v). -v**3 - 5483*v Let t(s) = -2*s**3 + 3*s**2 + 3*s + 3. Let b(k) = -5*k**3 + 5*k**2 + 5*k + 5. Suppose 0 = -4*o + 591 - 579. Determine o*b(y) - 5*t(y). -5*y**3 Let o(r) = 1. Let n(u) = 10*u + 18. Let t(h) = -h - 9. Let k be t(-4). Let i(c) = -8 + 121*c - 4 - 128*c. Let x(l) = k*n(l) - 7*i(l). What is 3*o(b) + x(b)? -b - 3 Let h(t) = 2*t**2 - 4*t + 11. Let x(j) be the second derivative of 1/3*j**3 - 3*j**2 + 7*j - 1/12*j**4 - 2. What is 6*h(q) + 11*x(q)? q**2 - 2*q Let s(h) = 2*h - 5. Let k(y) = 2*y - 6. Let b(a) = -3*k(a) + 4*s(a). Let g(u) = 119*u + 112. Let z be g(-1). Let l(w) = -w + 1. Give z*l(c) - 3*b(c). c - 1 Let s(p) = 151*p - 7. Let k(j) = -131*j + 5. Give -4*k(v) - 3*s(v). 71*v + 1 Let t(s) = 1. Let f = 147 - 148. Let i = 0 - f. Let w(c) = -2*c**2 - 3. Calculate i*w(o) + 3*t(o). -2*o**2 Let a(k) = 2*k**3 + 7*k**2 + k - 3. Let r = 400 + -403. Let y(b) = -b**3 - 6*b**2 - b + 2. Determine r*y(n) - 2*a(n). -n**3 + 4*n**2 + n Let p(q) = -325*q - 13. Let j(k) = -652*k - 22. Give 3*j(i) - 5*p(i). -331*i - 1 Let c(r) = 6*r**2 - 5*r - 1. Let m(x) = -68*x**2 - 60*x - 3. Give -4*c(w) + m(w). -92*w**2 - 40*w + 1 Let k = -11 - -6. Let i(n) = 2*n**2 - 5*n - 2. Let z(f) = -7397 - 7399 - f**2 + 4*f + 14798. Calculate k*z(t) - 4*i(t). -3*t**2 - 2 Let n(b) = 5*b + 3. Let v be (2/4)/(1/(-10)). Suppose 2*p = -8, 4*p = 16*m - 17*m - 218. Let w = m + 204. Let h(y) = 11*y + 7. Determine v*n(u) + w*h(u). -3*u - 1 Suppose -4*x - 4*d = 4 - 0, 25 = -5*x - d. Let m(v) = -7*v + 1. Let a(p) = 1252 + 1322 - 3893 - 22*p + 1322 + 2*p. Determine x*a(q) + 17*m(q). q - 1 Let o(h) = -718*h - 23. Let n(p) = -486*p - 16. What is -8*n(z) + 5*o(z)? 298*z + 13 Let z(f) = -3*f**3 - 5*f**2 + 4*f + 2*f**2 - 2*f**2. Let g(c) be the second derivative of -c**5/20 - c**4/12 + c**3/6 + 208*c - 174. Determine -9*g(y) + 2*z(y). 3*y**3 - y**2 - y Let g(n) = -4*n**3 - 2*n**2 + 3*n - 17. Let p(d) = -7*d**3 - 4*d**2 + 5*d - 33. Determine -9*g(b) + 5*p(b). b**3 - 2*b**2 - 2*b - 12 Let c(a) = 494*a**2 - 91*a. Let p(g) = 176*g + 172*g - 346*g - 43*g**2 + 32*g**2. Give 4*c(i) + 182*p(i). -26*i**2 Let i(w) = -2*w**2 + 5*w - 2. Let c(s) = -2*s**2 + 4*s - 2. Suppose 227*v - 255*v - 224 = -84. What is v*i(z) + 6*c(z)? -2*z**2 - z - 2 Let r(l) = -6*l + 2. Let v(w) = -2*w**3 + 2115*w**2 - 6*w + 2. What is r(a) - v(a)? 2*a**3 - 2115*a**2 Let j(q) = -7*q**2 + 130*q - 11. Let k(c) = -7*c**2 + 122*c - 10. Determine -8*j(t) + 9*k(t). -7*t**2 + 58*t - 2 Let p(r) = r**3 + r**2 - r + 1. Let q(x) = 3*x**3 + x**2 - x - 2. Suppose -166*z - 65 = 59 + 42. What is z*p(f) + q(f)? 2*f**3 - 3 Suppose 168 = 8*q - 2*q. Let h = 30 - q. Let b(f) = -f**h - 4*f**2 + 4*f**2. Let i(m) = m**2 + m + 3. Calculate 2*b(g) + i(g). -g**2 + g + 3 Suppose 0 = x - 2 + 20. Let j = x - -22. Let g(m) = 5 + 0 + j*m - 4*m - 6*m. Let s(r) = -r + 1. Give -g(h) + 5*s(h). h Let i(f) = f**2 - f + 3. Let u(q) = 86*q**2 - 7*q + 18. Determine 6*i(r) - u(r). -80*r**2 + r Let y(f) = -6*f**3 - 3*f**2 - f + 1. Let j(b) = b**3 + 1. Let q be (9 - (8 + 0))/1. Determine q*y(a) + 3*j(a). -3*a**3 - 3*a**2 - a + 4 Let g(n) = 8*n**2 - 23*n - 220. Let z(w) = 23*w**2 - 65*w - 660. Determine 17*g(d) - 6*z(d). -2*d**2 - d + 220 Let i(x) = -3*x - 3. Let q(z) = 10*z + 3. Let b(v) = -6*i(v) - 5*q(v). Let w(y) = 11*y - 1. Determine -6*b(c) - 17*w(c). 5*c - 1 Suppose -79*t + 82*t = b - 4, -b - t + 8 = 0. Let y(o) = -41*o - 3. Let s(c) = 20*c + 2. Give b*s(z) + 4*y(z). -24*z + 2 Let y(q) = -7*q**3 + 7*q**2 - 4. Let k(t) = -173*t - 3119. Let v be k(-18). Let h(a) = a**3 + a**2 - 1. Calculate v*h(b) + y(b). -12*b**3 + 2*b**2 + 1 Let x(j) = 21*j**2 - 974*j - 32. Let z(d) = -14*d**2 + 649*d + 20. Calculate -5*x(t) - 8*z(t). 7*t**2 - 322*t Let u(x) = -36*x + 147. Let m be u(4). Let g(h) = h**2 + 5. Let a(y) = -4. Let w(p) = -2. Let l(i) = -3*a(i) + 4*w(i). Determine m*l(q) - 2*g(q). -2*q**2 + 2 Let t(y) be the first derivative of -y + 194. Suppose 3*f = 5*i + 19 + 11, -5*i - 30 = 3*f. Let r(c) = -3*c - 6. Calculate i*t(n) + r(n). -3*n Suppose 471 = -5*f + 6*f. Let s(z) = -3*z - 465 - f + 942 - 6*z**2. Let p(m) = -17*m**2 - 9*m + 17. Let r be 1*(0 - -11)*1. Determine r*s(o) - 4*p(o). 2*o**2 + 3*o - 2 Let t(b) = -34 + b + 0*b + 35. Let k(i) = 231*i**2 + 234*i**2 + 239*i**2 - 705*i**2. What is -3*k(h) - t(h)? 3*h**2 - h - 1 Let u(l) = l**3 + 7*l**2 + 2*l + 1. Let p(g) = 1777*g**3 + 35*g**2 + 17*g + 5. What is p(t) - 5*u(t)? 1772*t**3 + 7*t Let u(b) = 5*b + 4. Suppose 404 - 420 = 4*y + 3*j, 0 = -2*j - 8. Let t(p) = p - 1. Calculate y*u(w) + 2*t(w). -3*w - 6 Let i(b) = -2*b**3 + 2*b**2 - 2*b - 2. Let d(l) = 3*l**2 - 5*l - 4*l**3 + 2*l - 3 + 2*l**3. Let x(v) = v**2 - 5*v - 22. Let h be x(8). What is h*d(j) - 3*i(j)? 2*j**3 Let j(o) = 10*o - 2. Let w(v) = 462927*v - 90770. What is 45385*j(r) - w(r)? -9077*r Let q be 7 - -21*33/(-77). Let b(j) = j**3 + 3*j + 9. Let u(p) = p**3 + 6*p - 6. Let w(y) = -y + 2. Let v(r) = u(r) + 5*w(r). Give q*b(l) + 5*v(l). 3*l**3 - l + 2 Let n(g) = -9*g - 93. Let l(t) = -3*t - 34. Let p(q) = -2*l(q) + n(q). Let j(z) = -7*z - 51. Determine 4*j(f) - 9*p(f). -f + 21 Suppose -382*u + 60*u - 746 = -102. Let r(n) = 9*n**2 + 2*n - 1. Let x(f) = f**3 - 46*f**2 - 10*f + 5. Calculate u*x(z) - 11*r(z). -2*z**3 - 7*z**2 - 2*z + 1 Let i(f) = 102*f**2 - 11*f + 38. Let s(m) = 27*m**2 - 3*m + 10. Determine 4*i(b) - 15*s(b). 3*b**2 + b + 2 Let v(t) = 160881*t + 326. Let c(j) = 1476*j + 3. Determine 326*c(b) - 3*v(b). -1467*b Let u(o) = -47*o**2
{ "pile_set_name": "DM Mathematics" }
*-3. Let h = -3 - b. Suppose 0 = -m - 5*y + 33, y + 48 = -0*m + h*m. List the prime factors of m. 13 Suppose 0 = 6*b - 2*b. Let m(s) = b*s**2 + 3 - s**3 + 0*s**2. What are the prime factors of m(0)? 3 Suppose a - t - 149 + 46 = 0, 4*t - 16 = 0. List the prime factors of a. 107 Suppose 4*g - 7 - 5 = 0. Suppose -8*r - 79 = -3*l - 3*r, r = 1. Suppose g*s = w + l, 0 = -s - 4*w + 29 - 11. List the prime factors of s. 2, 5 Let v(t) = t**3 + 5*t**2 + 2*t. Let r be v(-2). Let m = 23 - r. List the prime factors of m. 3, 5 Let w(x) = x**2 + 3*x + 7*x + 5 - 4*x. Let i = -24 + 17. List the prime factors of w(i). 2, 3 Suppose -19*l + 188 = -15*l. What are the prime factors of l? 47 Suppose -5*t - 4 = 5*p - 24, -2*t = -4*p + 34. List the prime factors of p. 7 Suppose -15 = 3*s, b + 5*s = -0*s + 181. What are the prime factors of b? 2, 103 Let d be 2/(-3) - 88/(-6). Let g(o) = o**3 + 0*o + d + o + 0*o**3. What are the prime factors of g(0)? 2, 7 Suppose -d = 4*d - 15, -2*a = d - 61. Suppose -42 = 3*t - 6. Let r = t + a. What are the prime factors of r? 17 Let r = 7 + 19. List the prime factors of r. 2, 13 Suppose -5*o + 350 = -0*o. What are the prime factors of o? 2, 5, 7 Let q(h) = h**3 + 4*h**2 - 4. Let b be q(-3). Let m(c) = c**3 - 4*c**2 - 2*c. List the prime factors of m(b). 3, 5 Suppose 0 = -z - z + 56. What are the prime factors of z? 2, 7 Let g = 2 + -1. Suppose -4*f + 33 = g. What are the prime factors of f/28 - 19/(-7)? 3 Let w(d) be the first derivative of -d**2/2 + d - 2. Let s be 2/1 + -10 + 1. List the prime factors of w(s). 2 Let i(m) = 7*m - 14. What are the prime factors of i(9)? 7 List the prime factors of -6 - (-10 + 4 + -224). 2, 7 Suppose 4*q + 3*t - 2 = 0, 8 = 2*q - 4*t + 2*t. List the prime factors of q. 2 Suppose 4*o - 34 = -2*b, 3*b = -2 + 5. What are the prime factors of o? 2 Let r(z) = z**2 - 6*z - 2. Let x be r(7). Suppose 13 = x*c - 62. Let g = -3 + c. What are the prime factors of g? 2, 3 Let t(k) = 12*k + 7. Let s(a) = -18*a - 10. Let j(y) = 5*s(y) + 7*t(y). What are the prime factors of j(-1)? 5 Let k be (-12)/(-2)*(-7)/(-3). Suppose 0 = 4*a - k - 74. What are the prime factors of a? 2, 11 Let w be (-2 - -6)*-4 - 0. Suppose 0 = -3*a + 42 + 39. Let l = w + a. List the prime factors of l. 11 Suppose -3*h = 5 - 2, 0 = 3*m + 3*h - 114. What are the prime factors of m? 3, 13 Let k be 3/(-9) + (-94)/(-3). Suppose -k = -5*h + 29. List the prime factors of h. 2, 3 Suppose -2*i + 3*i - 25 = 5*g, 4*i - 5*g = 25. Let x be (36/(-48))/(2/(-8)). Suppose i = x*o - 39. List the prime factors of o. 13 Suppose 4*p + 4*o = 204, -3*p - p + 210 = 2*o. What are the prime factors of p? 2, 3 Let o = -8 - -8. Suppose 1 = -x + 4*w, 4*x + 5*w - 39 - 20 = o. What are the prime factors of x? 11 What are the prime factors of 2*2/(-10) - 12006/(-90)? 7, 19 Suppose 10 = -3*b + 4*f, 2*b - 18 = -4*f + 2. Suppose -g - 27 = -u + 25, -b*u = 2*g - 108. List the prime factors of u. 53 Suppose 5*q - 5*n - 70 = 0, 4*n = -q + 6*n + 16. What are the prime factors of q? 2, 3 Suppose -4*d - 40 = -3*d. Let v be 16/d - 62/(-5). Suppose -3*z + 3 - v = 5*c, 4*c = -z - 10. List the prime factors of z. 2 Let m = 3 - 1. Let u be 2 - 1 - (-6)/m. List the prime factors of (48/(-20))/(u/(-10)). 2, 3 Suppose -659 = -3*i - 122. What are the prime factors of i? 179 Suppose 0 = -4*s + 2*s + 18. Suppose 17 = b - s. List the prime factors of b. 2, 13 Suppose -5*n - 104 = -2*h, -n - 145 = -4*h + 27. Suppose 4*l - 6*l = -h. List the prime factors of l. 3, 7 Suppose -2*f + r + 124 + 115 = 0, -5*f + 590 = -5*r. What are the prime factors of f? 11 Suppose -4*z = -3*z - 2*c, 3*c = 4*z. Let p = 26 - z. List the prime factors of p. 2, 13 Let b(w) = -192*w + 5. What are the prime factors of b(-1)? 197 Let j(t) = -t + 7. Let v be j(0). Suppose -8*m = -v*m - 19. What are the prime factors of m? 19 Let b(u) = -2*u + 37. List the prime factors of b(14). 3 Let y be (-2)/(-1) - (2 + -2). Let q(a) = -a**2 + 11*a. Let d be q(11). List the prime factors of (d + y)/((-2)/(-16)). 2 Suppose 0 = -2*z - 0*z + 406. List the prime factors of z. 7, 29 Let j = 4 - 7. What are the prime factors of 7*2 - (j - -3)? 2, 7 Let s be (-2 + -100)/(0 - 2). Suppose -4*u + s = -u. What are the prime factors of u? 17 List the prime factors of (68 - 5) + 0/(-3). 3, 7 Suppose 112 = 2*z - 4*z. Let g = 35 + z. Let y = -13 - g. List the prime factors of y. 2 Let t = -2 + 13. What are the prime factors of t? 11 Suppose 6*y - 3*y = 168. Let v = -29 + y. Suppose -v = -6*b + 3*b. What are the prime factors of b? 3 Suppose 3*z = -z - j + 15, 0 = 5*z - 3*j - 40. Let t(o) = z*o - o - 3 + o. List the prime factors of t(3). 2, 3 Let i be 37/2 + 2/(-4). Suppose -i = -0*b - 3*b. Let z = b + -3. What are the prime factors of z? 3 Suppose 5*v + 12 - 32 = 5*r, -v = 3*r + 16. Let w be (1 + v + 9)/1. Let b = w + 1. What are the prime factors of b? 2, 5 Suppose -3*l + 5*l = 58. Let s = l + -17. List the prime factors of s. 2, 3 Let t(c) = -c**3 + 6*c**2 - 6*c + 1. Suppose 4 = h - 0. What are the prime factors of t(h)? 3 Suppose 13*p - 733 + 213 = 0. What are the prime factors of p? 2, 5 Let m(r) = -2*r**3 - 6*r**2 + 7*r + 10. What are the prime factors of m(-5)? 3, 5 Let s(j) = 2*j + 4. What are the prime factors of s(3)? 2, 5 Let s(y) = y**2 + y + 30. What are the prime factors of s(13)? 2, 53 Let d = 35 - 20. Suppose 15 = w - h + 2, -2*w + h + 23 = 0. Let o = d - w. What are the prime factors of o? 5 Suppose 3*g - 19 = -4*o + 5, -12 = -2*o - g. Let s(c) = -o + 0*c - c - c. What are the prime factors of s(-4)? 2 Let f(l) = 4 - 3*l**2 + 2*l**2 + 2*l**2. List the prime factors of f(-4). 2, 5 Let j(d) = d**2 + 2*d - 9. Let m be j(-7). Suppose 10 + m = 3*t. List the prime factors of t. 2, 3 Let c(r) = r**2 - 2*r - 5. Let k be c(4). Suppose 0 = 3*d + 4*n - n - 9, -k*d + 2*n + 14 = 0. List the prime factors of d. 2 What are the prime factors of 9/(-5)*50/(-15)? 2, 3 Suppose -1 = -j + 1. Suppose -j*g - y + 39 = 2*g, -5*y + 19 = 4*g. List the prime factors of g. 11 Let z(j) = j**2 + 3 + j + 2 - 2*j**3 - 2*j - 4. What are the prime factors of z(-2)? 23 Let m = 18 + 66. What are the prime factors of m? 2, 3, 7 List the prime factors of (136/(-24))/((-2)/(-3))*-2. 17 Let w = 61 + -28. What are the prime factors of w? 3, 11 Let f be (-2 - 6)*(-6)/1. Let y = f + -21. What are the prime factors of y? 3 Suppose 8 = -4*w + 5*w. List the prime factors of w. 2 Let s(i) = 4*i**2 - 3*i + 1. Let t be s(-2). Suppose 5*a - 7 = 2*r - t, -3*r + 19 = -5*a. List the prime factors of r. 3 Let i(r) = -2*r**2 + 5*r - 1. Let n(y) = -y**2 + 2*y - 1. Let f(q) = -4*i(q) + 7*n(q). Let m be (3 + 0)/(9/21). What are the prime factors of f(m)? 2 Suppose 3*x + 189 = v, 0 = 8*v - 4*v - 3*x - 774. What are the prime factors of v? 3, 5, 13 Let j(q) be the third derivative of q**7/252 + q**5/120 - q**4/12 + 3*q**2. Let m(h) be the second derivative of j(h). What are the prime factors of m(1)? 11 Let b = -3 - -6. Let n be 1*b - 12/(-4). Suppose -41 + n = -4*i + w, 3*i = 5*w + 39. What are the prime factors of i? 2 List the prime factors of (-2)/(-6) + 346/6. 2, 29 Let h(c) = -c**2 - 12*c - 12. List the prime factors of h(-9). 3, 5 Suppose 2*g - 2*w - 14 = -2*g, -2*g + 22 = 4*w. Suppose -3*s = x - 22, 0*s + 42 = g*x - 2*s. What are the prime factors of x? 2, 5 What are the prime factors of (-1164)/(-20) + (-8)/(-10)? 59 Let y = 10 + -17. Let k(r) = -6 - r**2 - 5*r - 4*r - 2 + 0. List the prime factors of k(y). 2, 3 Suppose 3*d + 3*l = 156, -4*d - 2*l + 214 = -l. List the prime factors of d. 2, 3 Let u = 77 + -24. List the prime factors of u. 53 Let s be 3/((-9)/3) - -2. List the prime factors of (32 - s) + (-9 - -10). 2 Let u be 2/6*(1 + 14). Suppose h - 7 = u. What are the prime factors of h? 2, 3 Let f(n) = -3*n - 6. Let b be f(4). Let l = 1 - -5. List the prime factors of (3 - b)*4/l. 2, 7 Let d(h) = h**3 + 8*h**2 + 7*h - 3. Let v be d(-7). Let l = 9 + v. List the prime factors of l. 2, 3 What are the prime factors of 9/(-48)*-4 + 285/20? 3, 5 Suppose -3*k + 3*r = -7*k + 215, 5*k + 5*r = 265. Suppose -2*v - 2*y + k = 0, -6*v + 4*y + 167 = -v. List the prime factors of v. 31 Let r(i) be the first derivative of -5*i**2/2 + 4*i + 1. What are the prime factors of r(-3)? 19 Let b be 1/3
{ "pile_set_name": "DM Mathematics" }
2*z - 7. Let q(a) = -14*g(a) - 5*n(a). Calculate t(q(r)). -132*r - 2 Let c(f) = -132*f - 32. Let o(x) = -26*x - 6. Let k(s) = -3*c(s) + 16*o(s). Let p(m) = 11*m**2. Determine p(k(v)). 4400*v**2 Let c(y) be the first derivative of 2*y**3/3 - 143. Let b(p) be the first derivative of 23*p**3/3 - 5. Calculate c(b(s)). 1058*s**4 Let h(u) = 15*u - 10*u + 7*u - 13*u. Let x(a) = 4*a**2 - 5*a + 9. Let l(i) = i**2 - i + 2. Let z(s) = 9*l(s) - 2*x(s). What is z(h(t))? t**2 - t Let b(w) = -w**2 + 851*w - w**2 - 851*w. Let q(s) = 48*s**2 + 44*s + 44. Let k(x) = -x**2 - x - 1. Let f(v) = -88*k(v) - 2*q(v). What is f(b(m))? -32*m**4 Let g(l) = -2*l**2 + l. Let z(m) = 7*m**2 - 3*m. Let t(v) = 6*g(v) + 2*z(v). Let i(b) = 12*b**2 + 2*b. Give i(t(s)). 48*s**4 + 4*s**2 Let k(l) = -103*l - 60. Let y(t) = t. Calculate k(y(i)). -103*i - 60 Let h(j) = 35*j. Let f = -106 - -108. Let r(y) = -20*y**f + 46*y**2 - 28*y**2. Calculate r(h(n)). -2450*n**2 Suppose 2*n = -0*n + 40. Let r(s) = -s**2 + 20*s + n*s - 40*s. Let x(i) = i**2. Give x(r(t)). t**4 Let j(o) = -2*o**2 - 1. Let g(r) = 32*r**2 + 8. Let l(i) = -g(i) - 8*j(i). Let q(c) = 3*c**2. Give l(q(z)). -144*z**4 Let v(s) = -105*s**2. Let r(x) be the second derivative of x**3/6 + 149*x. Determine r(v(z)). -105*z**2 Let f(w) = 2*w**2. Let d(y) = -y + 7*y + 9*y - 13*y. What is d(f(j))? 4*j**2 Let x(t) = 28*t**2. Let s(v) = -2*v**2 - 3. Let f(a) = 33*a**2 + 12. Let k(m) = f(m) + 4*s(m). Determine k(x(u)). 19600*u**4 Let m(z) = -10*z. Let c(q) be the second derivative of 0 + 1/6*q**3 + 0*q**2 - 10*q. What is c(m(k))? -10*k Let v(w) = -2*w. Suppose -47 = -4*n + 13. Suppose 0 = 5*z - n - 15. Let r(c) = -13*c - 11*c**2 + z*c + 7*c. Calculate v(r(l)). 22*l**2 Let t(k) = 37*k + 16. Let s(g) = -g - 5. Let r(b) = -6*s(b) - 2*t(b). Let y(w) = 4*w. Give r(y(c)). -272*c - 2 Let v(x) = -3*x**2. Let z(q) be the third derivative of 7*q**5/12 - 43*q**2. Calculate v(z(f)). -3675*f**4 Let r(x) = -2*x**2 - 158. Let v(j) = 17*j**2. What is r(v(d))? -578*d**4 - 158 Let k(t) = -16*t**2 + 6*t. Let c(x) = x. Let p(w) = -6*c(w) + k(w). Let l(o) = 9*o. Let q(s) = 4*s. Let a(m) = -6*l(m) + 14*q(m). Give p(a(r)). -64*r**2 Let b(t) = -t**3 - 6*t**2 - t - 4. Let p be b(-6). Let c(v) = -5*v**p - v**2 + 3*v**2 + 5*v**2. Let k(m) = -15*m. Calculate c(k(y)). 450*y**2 Let m(i) be the third derivative of i**4/24 - 864*i**2. Let k(j) be the third derivative of 3*j**4/8 - j**2. Give m(k(r)). 9*r Let o(t) = 5*t**2 + 4*t**2 - 8*t**2 + 5*t**2. Let m(n) = 8*n**2. Determine o(m(h)). 384*h**4 Let w(f) = 144*f**2 + 2. Let x(c) = -c + 483. Determine x(w(k)). -144*k**2 + 481 Let j(n) = -2*n**2. Let f(y) = 0*y + 0*y - 228*y**2 + 260*y**2. Determine j(f(a)). -2048*a**4 Let i = -18 - -20. Let z(j) be the first derivative of 0 + j**i - 1 + 3. Let u(q) = q. Give z(u(p)). 2*p Let b(y) = 337521*y. Let n(f) = 3*f. Calculate b(n(x)). 1012563*x Suppose 2*n - 7 = -5. Let c(l) = -n + 4 - 3 - 3*l. Let y(j) = 3*j + 2. Let m(v) = 2*v + 3. Let u(h) = 2*m(h) - 3*y(h). What is c(u(x))? 15*x Let g(d) = 4*d + 2. Let y be g(2). Let w(k) = -y*k + k**2 + 10*k. Let j(c) = 15*c**2 - 2*c**2 - 2*c**2 - 5*c**2. Give j(w(v)). 6*v**4 Let x(m) = -27*m - 135*m + 162*m + 2*m**2. Let c(g) = -306*g. What is c(x(d))? -612*d**2 Let y(k) be the first derivative of -k**4/4 + 2*k**3 + 7*k**2/2 + 2*k + 5. Let n be y(7). Let q(h) = 6*h**2 + 0*h**2 - 4*h**n. Let b(l) = -l. Determine q(b(v)). 2*v**2 Let v(g) = 1347541*g. Let h(f) = 2*f. Give h(v(s)). 2695082*s Let n(w) be the first derivative of -w**2/2 - 491. Let h(x) = -173*x**2. Give n(h(l)). 173*l**2 Let h(a) = -1785*a. Let l(v) = 7*v**2 + 3*v. What is l(h(q))? 22303575*q**2 - 5355*q Let f(y) = -3*y - 3 - 9*y + 10*y. Let h(j) = 6*j. Determine f(h(l)). -12*l - 3 Let c(o) = 70*o + 4. Let f(v) = -2*v + 1. Let h(b) = c(b) - 6*f(b). Let i(r) = r. Determine i(h(p)). 82*p - 2 Let i(j) = -j**2 - 9*j. Let b(n) be the third derivative of -n**5/15 - 13*n**2 + 4. Determine b(i(y)). -4*y**4 - 72*y**3 - 324*y**2 Let r(t) = 851*t**2. Let d(g) = 17*g**2. Let q = -595 + 296. Let a(p) = q*d(p) + 6*r(p). Let c(j) = -2*j**2. Determine c(a(i)). -1058*i**4 Let x(g) = -2*g. Let o(m) be the second derivative of -m**4/4 + m**3/2 - m - 153. What is o(x(w))? -12*w**2 - 6*w Let p(u) = -5*u + 3. Let t(q) be the first derivative of -4*q**2 + 5*q - 21. Let l(a) = -10*p(a) + 6*t(a). Let f(v) = v**2 - 9*v. Determine l(f(h)). 2*h**2 - 18*h Let z(s) = 9*s - 7. Suppose -3*n - 3 = -24. Let j(v) = 4*v - 3. Let b(p) = n*j(p) - 3*z(p). Let c(y) be the first derivative of 3*y**2 + 1. Calculate b(c(f)). 6*f Let s(g) = 7*g. Let a(h) = 3*h. Let l(q) = 5*a(q) - 2*s(q). Let p(i) = 6*i. Let o = -1 - -3. Let r(d) = -6*d. Let z(f) = o*p(f) + 3*r(f). Calculate l(z(b)). -6*b Let i(o) = -o. Let l(m) = -8*m - 231. Give i(l(t)). 8*t + 231 Let i(g) = 1702*g - 2. Let z(w) = 9*w. Give z(i(n)). 15318*n - 18 Let j(s) = 31*s. Let d(x) = x**3 - 3*x**2 - x - 7. Let r be d(3). Let f = 14 + r. Let q(o) = f*o + 2*o + o - 9*o. Calculate j(q(k)). -62*k Let w(s) = -9*s**2 - 2*s**2 + 16*s**2. Let x(l) = -7*l**2. Give x(w(t)). -175*t**4 Let k(m) be the second derivative of -m**5/120 - 5*m**3/6 + 9*m. Let z(t) be the second derivative of k(t). Let r(l) = 13*l. Determine z(r(b)). -13*b Let r(u) be the third derivative of 53*u**4/24 - 157*u**2. Let z(l) = 2*l**2. Calculate z(r(o)). 5618*o**2 Let s(m) = 12*m**2 - 2*m. Let p be s(1). Let h be (p/(-4))/5*-4. Let j(d) = -6 - 3 + d**h + 9. Let y(v) = -v**2. Give y(j(o)). -o**4 Let k be (1 + -1)*(-11)/(-33). Let s(h) = h + k*h - 7*h. Let o(q) be the third derivative of -q**4/24 - q**2. Determine o(s(p)). 6*p Let g(l) = 14*l. Let s(a) = 8*a**2 - 95*a + 52*a + 43*a. Give s(g(m)). 1568*m**2 Let r(f) = -69879*f**2 - f. Let o(j) = 2*j. Calculate o(r(g)). -139758*g**2 - 2*g Let g(k) = 707463*k. Let o(b) = 3*b. Calculate g(o(m)). 2122389*m Let p(m) = 3*m**2. Let v(o) be the second derivative of -o**3/6 + 5*o**2 - 2*o. Let u be v(5). Let q(k) = 2*k + 2*k - u*k. Determine q(p(y)). -3*y**2 Let h(d) = -2*d**2. Let w(i) = -i + 31. Let n be w(9). Let t(k) = -2 - n*k + 2 + 27*k. Give t(h(s)). -10*s**2 Let v(b) = 5*b - 61. Let o(s) = 19*s**2. Give v(o(t)). 95*t**2 - 61 Let w(i) = -14089*i - 3. Let d(q) = 5*q. What is d(w(o))? -70445*o - 15 Let s(a) = a**3 + 7*a**2 + 16. Let u be s(-6). Let z(n) = -109*n + u*n + 64*n. Let j(p) = -2*p**2. Determine z(j(f)). -14*f**2 Let b(q) = q. Let x(p) be the first derivative of p**2 + 17*p + 71. Determine x(b(j)). 2*j + 17 Let a(i) be the second derivative of 4*i**3/3 + 87*i. Let o(d) = -9*d**2. What is o(a(g))? -576*g**2 Let w(c) = -c. Let q(k) = -2*k - 51*k**2 - 520 - 519 + 1039. Give w(q(f)). 51*f**2 + 2*f Let f(b) = -4*b**2. Let r(t) = 3 + t + 5*t + 6 - 4*t + 20. Determine f(r(h)). -16*h**2 - 464*h - 3364 Suppose 6*k + 94 = 460. Let q(p) = -k*p + 28*p + 37*p. Let a(z) = 12*z - 10. Let i(o) = o - 1. Let c(d) = a(d) - 10*i(d). Calculate c(q(u)). 8*u Suppose -18*i + 8 = -14*i. Let h(d) = 0*d + 45*d**i - 49*d**2 + 0*d. Let b(p) = -5*p. Calculate b(h(j)). 20*j**2 Let j(t) be the third derivative of 19*t**5/60 - 89*t**2 + 2. Let b(o) = 42*o. Determine j(b(g)). 33516*g**2 Let d(w) = 5*w. Let z(v) = 3*v + 12. Let u be z(-4). Let x(m) be the second derivative of -4*m + 1/12*m**4 + 0 + 0*m**2 + u*m**3. Calculate d(x(i)). 5*i**2 Let f(n) = 7*n**2. Let x(t) = -t + 2. Let w(z) = z + 3. Let q(y) = -2*w(y) + 3*x(y). Calculate f(q(o)). 175*o**2 Let p(t) = -5*t**2 - 2*t. Let u(r) = 2*r. Let f(i) = i. Let a(v) = -f(v) - u(v). Determine a(p(j)). 15*j**2 + 6*j Let p(y) = 596*y**2. Let n(g) = 6*g**2 - 8. Determine n(p(s)). 2131296*s**4 - 8 Let x(g) = g. Let y(m) = -27*m - 30. Give y(x(q)). -27*q - 30 Let m(d) = 3*d. Suppose 0 = 5*j - 3*w + 2*w, 2*w = 0. Suppose j = -5*o - 0*o + 2*p + 10, 4*o - 5*p = 25. Let v(k) = -2*k + 0*k + o*k + 0*k. Give v(m(c)). -6*c Let r = -35 - -24. Let k = r + 13. Let s(q) = 5*q - 2*q + 4*q**k - 3*q. Let u(n) = 2*n**2. Determine u(s(w)). 32*w**4 Let h(o) = o**2 + 4*o + 2. Let q(d) = d**2 + 6*d + 3. Let c(k) = 6*h(k) - 4*q(k). Let p(u) = -u + 11. Give p(c(w)). -2*w**2 + 11 Let w(b) = -19*b. Let l = 51 - 50. Let j(f) = 8*f**2 - 6*f**2 + 1 - l. Determine w(j(a)). -38*a**2 Let q(n) = 5*n - 3. Let z(d) be the first derivative of 9*d**2/2 - 7*d - 28. Let
{ "pile_set_name": "DM Mathematics" }
t? -11475516*t**2 What is the third derivative of -15*g*l**2 + 317*g*l*y**2 + 22*g*y**3 - 6094*l**3*y**3 - 20*l**3*y**2 wrt y? 132*g - 36564*l**3 Find the third derivative of -56025*z**4 + 2*z**2 + 5*z - 582. -1344600*z Find the second derivative of -3296877*t**4 - 3413*t - 45. -39562524*t**2 Find the second derivative of -2*n**4 - 115*n**3 + 1030*n**2 - 2*n - 20856 wrt n. -24*n**2 - 690*n + 2060 What is the second derivative of -55739*r**2 + 14890*r? -111478 Find the second derivative of 15*s**2*v**3 - 95*s**2*v + 19*s*x + 23323*v**5*x - 3*v + 4*x wrt v. 90*s**2*v + 466460*v**3*x What is the second derivative of 117700*h**2 + 639765*h? 235400 Find the first derivative of -2*t**3*x - 1074566*t**3 - 2098*t**2*x - t*x - 5*x wrt x. -2*t**3 - 2098*t**2 - t - 5 What is the second derivative of -421824*i*j**2 - 65*i*j - 11*j - 44 wrt j? -843648*i Find the third derivative of 5*j**3*r**4 + 7*j**3*r**2 - 4*j**2*r**4 - 259*j**2*r**2 + 41*r**4 wrt r. 120*j**3*r - 96*j**2*r + 984*r What is the third derivative of -476307*y**5 + 375004*y**2? -28578420*y**2 What is the first derivative of 3*i**3*n + 6*i**3 + 14057*i**2*n + 2*i**2 - 2904*i - 11 wrt n? 3*i**3 + 14057*i**2 What is the third derivative of 4429*d**3*t**3 - 875*d**3 - d*t**4 + 2*d*t**2 wrt t? 26574*d**3 - 24*d*t Find the second derivative of -573*m**5 - 174*m**4 - m**2 - 309787*m wrt m. -11460*m**3 - 2088*m**2 - 2 Find the second derivative of 1636557*k**2 + 548502*k. 3273114 Find the second derivative of 315763*o**4 - o**2 + 458566*o wrt o. 3789156*o**2 - 2 Differentiate 7808*r**2 - r + 118038 with respect to r. 15616*r - 1 What is the third derivative of 4*p**6 - 3853*p**3 + 979*p**2 - 44 wrt p? 480*p**3 - 23118 Find the second derivative of 9*c**3*n**3 + 391*c**3*n - 3*c**3 + 75116*c*n**2 + 2*n**3 - 4 wrt c. 54*c*n**3 + 2346*c*n - 18*c What is the third derivative of -2590213*o**6 + 2*o**3 + 4*o**2 + 197*o + 81 wrt o? -310825560*o**3 + 12 What is the third derivative of -2*c**5*y - 6100*c**3*y**2 - 30*c**3 - 420329*c**2*y**2 + c**2*y - c**2 wrt c? -120*c**2*y - 36600*y**2 - 180 What is the derivative of -115*g**3*v**2 - 138*g**3*v + 34018*g**3 wrt v? -230*g**3*v - 138*g**3 Differentiate 512*o**3*q + 15178*o**3 + 10*o**2*q with respect to q. 512*o**3 + 10*o**2 Differentiate 20*d**2*f**3*g - 2*d**2 + 450*d*g - 3*f**3*g - 11059*f**3 wrt d. 40*d*f**3*g - 4*d + 450*g Find the third derivative of 365*t**5 + 12*t**4 + 22676*t**2 + 7*t wrt t. 21900*t**2 + 288*t Find the second derivative of -2*r**5 + 439342*r**3 - r**2 + 1930188*r. -40*r**3 + 2636052*r - 2 Find the first derivative of 9*s**3 - 27*s**2 - 275*s - 490073 wrt s. 27*s**2 - 54*s - 275 What is the third derivative of 51*i*x**5 + i*x**2 + 13*i*x - 154*x**5 + x + 77 wrt x? 3060*i*x**2 - 9240*x**2 Find the third derivative of 19239*g**3 - 40574*g**2 wrt g. 115434 What is the first derivative of -30810*m**2 - 13653 wrt m? -61620*m Find the first derivative of g**2*v**3 + 4*g**2 + 75*g*v**2 - 1231*v**3 + 15 wrt g. 2*g*v**3 + 8*g + 75*v**2 Find the first derivative of 52*q**3*z**3 - 1722*q**3 - q*z + 33*z**2 wrt z. 156*q**3*z**2 - q + 66*z What is the second derivative of -5350*k**2*q**2 + 11*k**2*q + 79*k*q**3 - 27*k*q + 422*k wrt q? -10700*k**2 + 474*k*q Find the third derivative of -109*b**3*c**3*l**3 + 596*b**3*c**2 - 60*b**3*l**3 + 16*b**2*l**3 + 258*c**3 wrt c. -654*b**3*l**3 + 1548 Find the second derivative of 23*l**2*y**2*z - 6*l**2*y + 4*l**2 + 51*l*y**3*z - 7*l*y*z + 4*y**3*z + z - 6 wrt y. 46*l**2*z + 306*l*y*z + 24*y*z What is the derivative of -417590*w - 827814 wrt w? -417590 Find the second derivative of -3529652*l**5 + 3547882*l. -70593040*l**3 What is the derivative of -186380*v - 193963? -186380 Find the first derivative of 21393*a**2 - 39515 wrt a. 42786*a Find the second derivative of 93*c**3 - 36*c**2 + 4*c + 7010 wrt c. 558*c - 72 Find the third derivative of 7*m**5 - m**4 - 492*m**3 - 62971*m**2. 420*m**2 - 24*m - 2952 What is the second derivative of 4*n**4 + 1121*n**3 + 16*n**2 + 7828*n - 90 wrt n? 48*n**2 + 6726*n + 32 What is the derivative of 225*m**4 + 9*m**2 - 2235 wrt m? 900*m**3 + 18*m Find the third derivative of -44*l**2*u**3*w**3 - 16219*l**2*u**3*w - 16*l**2*u**2 + l**2*u*w**2 - 81*l**2 - 54*l*u**2*w**3 + u*w**3 wrt u. -264*l**2*w**3 - 97314*l**2*w What is the third derivative of -43*u**4 - 121*u**3 + 20680*u**2 wrt u? -1032*u - 726 What is the third derivative of -857720*i**3 + 2*i**2 + 650017? -5146320 What is the second derivative of -b*k**5 + 21790*b*k**4 + 55*b*k + b + 1 wrt k? -20*b*k**3 + 261480*b*k**2 Find the third derivative of -5504128*a**3*v - 93*a**2*v + 152*a**2 - 10 wrt a. -33024768*v Find the second derivative of -413797*f**4*m + 5*f**3*m**2 + 2*f*m**2 - 4*f*m + 9*m**2 + 5*m + 1 wrt f. -4965564*f**2*m + 30*f*m**2 Differentiate -88*g**2*h**3 + 63*g*h**2 + 2*g - 12*h**3 - 23*h + 2 wrt g. -176*g*h**3 + 63*h**2 + 2 Find the second derivative of -855*f**5 - 2*f**3*q - 183*f*q - q + 1955 wrt f. -17100*f**3 - 12*f*q Find the second derivative of 73160*w*y**2 + 426*w*y + 2*w + 13*y - 3 wrt y. 146320*w What is the second derivative of -2179941*z**4 - 2092260*z wrt z? -26159292*z**2 Differentiate 161945*i*k + 4*i - 2588686*k wrt i. 161945*k + 4 Find the third derivative of -6*f**4 - 23386*f**3 + 197*f**2 - 160*f. -144*f - 140316 Find the second derivative of 23*a**4 - 41*a**3*g**2 + 2*a**2*g + 9387*a*g**2 wrt a. 276*a**2 - 246*a*g**2 + 4*g What is the second derivative of 80*l*m**4 - 2798*l*m + 68*m**4 + 2*m wrt m? 960*l*m**2 + 816*m**2 Find the first derivative of 4*c*o**2 - c*o - 112447*c + 3371*o wrt o. 8*c*o - c + 3371 Differentiate -7*c*k*n - c*n**2 + 1209*c - 153*k*n**2 - 1056*k*n wrt c. -7*k*n - n**2 + 1209 What is the first derivative of 208074*k - 138356? 208074 Differentiate 19*l**3 - 2*l**2 - 21*l + 1893. 57*l**2 - 4*l - 21 What is the third derivative of -2*c**6 - 2396*c**3 + 426278*c**2? -240*c**3 - 14376 Find the third derivative of -6398*m**5 + m**4*r**3 + 2*m**2*r**3 + 1864*r**3 - 5*r**2 wrt m. -383880*m**2 + 24*m*r**3 Find the third derivative of 159294*y**6 + 4*y**2 - 18806 wrt y. 19115280*y**3 Find the second derivative of 4*z**3 + 118678*z**2 + z + 528668. 24*z + 237356 Differentiate 3*i*j**3 + 3*i*j + 663*i - 3*j**3 - 131 wrt i. 3*j**3 + 3*j + 663 Differentiate -44756*u**2 - 12192. -89512*u Find the third derivative of -169654*f**3*r + f**2*r - 522*f**2 + 20*r wrt f. -1017924*r What is the first derivative of -2*b**2*x**2 - 2*b**2 + 389*b*x**3 - 16*b + 390 wrt x? -4*b**2*x + 1167*b*x**2 What is the third derivative of 1533*a**2*h**4 - 31*a**2*h**3 - 1998*a**2 - 466*h**2 wrt h? 36792*a**2*h - 186*a**2 What is the second derivative of -1027859*d**2 - d + 1045924? -2055718 Differentiate -17*j**2*r - 3*j**2 - 2*j*r + 4*j + 15104*r wrt j. -34*j*r - 6*j - 2*r + 4 Find the third derivative of -393458*l**2*w**4 + 4*l**2*w**2 - 5*l*w**2 - 2*l*w - 28*l - 4*w**2 wrt w. -9442992*l**2*w What is the first derivative of -27*b*g*k*z - 165*b*g*z - 3*b*k*z + 3*b*k - 2*g*k*z + 3931*k wrt g? -27*b*k*z - 165*b*z - 2*k*z What is the second derivative of -40*s**2*t**2 + 141*s**2*t + 7*s*t**2 + 6*s*t + 2*s - 1 wrt s? -80*t**2 + 282*t Find the third derivative of 3*k*l**4*v + 69*k*l**3*v**3 + 9*k*l**2*v**3 - 3*k*l**2 + 570*k*v**3 + 167*l**3*v wrt l. 72*k*l*v + 414*k*v**3 + 1002*v Find the third derivative of -8*q**6*x**2 - 1274*q**3*x**3 - 781*q**2*x**3 - 2*x**3 wrt q. -960*q**3*x**2 - 7644*x**3 What is the derivative of 4*g*p**2 - 516371*g + 3416149*p**2 wrt g? 4*p**2 - 516371 Find the second derivative of -9*v**3 - 1290*v**2 + 44692*v. -54*v - 2580 What is the derivative of 43672*a*b**3 + 2407*b**3 + b**2 - 2*b wrt a? 43672*b**3 Find the second derivative of 172809*f**5*u**2 - 2*f**2*u**2 + 12*f*u**2 + 83657*f wrt f. 3456180*f**3*u**2 - 4*u**2 What is the second derivative of 14*l**3*u**3 - 217*l**3*u + 45*l**3 - 1448*l**2*u**3 + 6*l**2*u + l*u wrt u? 84*l**3*u - 8688*l**2*u Differentiate -22927*h + 503 wrt h. -22927 Find the third derivative of 26*b**4 + 3688*b**3 - 2556*b**2 - b - 30 wrt b. 624*b + 22128 What is the first derivative of 47*h*j**3 + 43*h*j + 44828*h wrt j? 141*h*j**2 + 43*h Find the third derivative of 16*d**3*j**3*q + d**3*j**2 - 3*d**3*q + 8*d**3 + 14*d**2*j*q - 3*d**2*q - 37*j**3 +
{ "pile_set_name": "DM Mathematics" }
ulate the remainder when 35333850 is divided by 3533385. 0 Calculate the remainder when 24444671 is divided by 17. 14 Calculate the remainder when 763125 is divided by 18. 15 Calculate the remainder when 39822 is divided by 128. 14 What is the remainder when 120749 is divided by 120701? 48 Calculate the remainder when 1532228 is divided by 10567. 13 Calculate the remainder when 27952 is divided by 6230. 3032 Calculate the remainder when 99748 is divided by 2599. 986 Calculate the remainder when 1024727 is divided by 178. 159 What is the remainder when 2659 is divided by 1776? 883 What is the remainder when 980699 is divided by 980630? 69 Calculate the remainder when 3933604 is divided by 266. 262 Calculate the remainder when 1128898 is divided by 161253. 127 Calculate the remainder when 3766140 is divided by 646. 606 What is the remainder when 14085090 is divided by 1379? 1363 What is the remainder when 359833 is divided by 13827? 331 Calculate the remainder when 53019 is divided by 8602. 1407 What is the remainder when 7040408 is divided by 37? 11 What is the remainder when 354134 is divided by 117933? 335 What is the remainder when 57611264 is divided by 7? 4 What is the remainder when 3767759 is divided by 4004? 3999 Calculate the remainder when 7440765 is divided by 814. 805 What is the remainder when 3578089 is divided by 363? 361 What is the remainder when 497920114 is divided by 8263? 8260 Calculate the remainder when 99264 is divided by 2481. 24 Calculate the remainder when 9675559 is divided by 30. 19 Calculate the remainder when 5703520 is divided by 134. 78 Calculate the remainder when 2229552 is divided by 57168. 0 What is the remainder when 44981 is divided by 65? 1 Calculate the remainder when 244528 is divided by 110. 108 What is the remainder when 887076 is divided by 13? 8 What is the remainder when 16633068 is divided by 655? 653 What is the remainder when 11981679 is divided by 379? 352 What is the remainder when 27330 is divided by 975? 30 What is the remainder when 32330 is divided by 351? 38 What is the remainder when 2280133 is divided by 199? 190 What is the remainder when 336082 is divided by 84003? 70 What is the remainder when 42096 is divided by 253? 98 What is the remainder when 36053 is divided by 643? 45 Calculate the remainder when 89865570 is divided by 1728184. 2 What is the remainder when 2889687 is divided by 435? 417 Calculate the remainder when 99879275 is divided by 1596. 1595 Calculate the remainder when 66025 is divided by 1539. 1387 Calculate the remainder when 56374759 is divided by 18791580. 19 Calculate the remainder when 101084 is divided by 779. 593 What is the remainder when 13343761 is divided by 1? 0 Calculate the remainder when 97452 is divided by 793. 706 What is the remainder when 272023 is divided by 2746? 169 Calculate the remainder when 104729 is divided by 25713. 1877 What is the remainder when 176734894 is divided by 428? 426 What is the remainder when 455360 is divided by 3014? 246 Calculate the remainder when 40855292 is divided by 10213799. 96 What is the remainder when 5949585 is divided by 13? 5 What is the remainder when 7647 is divided by 6716? 931 What is the remainder when 512338 is divided by 3078? 1390 What is the remainder when 3969573 is divided by 4962? 4935 What is the remainder when 114102027 is divided by 3? 0 What is the remainder when 2499493 is divided by 624856? 69 Calculate the remainder when 1136245 is divided by 5540. 545 Calculate the remainder when 55938034 is divided by 1076. 22 Calculate the remainder when 75916305 is divided by 28. 17 What is the remainder when 91801 is divided by 2464? 633 Calculate the remainder when 10946361 is divided by 2097. 21 Calculate the remainder when 2179918 is divided by 53. 28 What is the remainder when 615036 is divided by 7069? 33 What is the remainder when 797919 is divided by 1198? 51 What is the remainder when 26795350 is divided by 1379? 1 What is the remainder when 12369236 is divided by 28? 12 What is the remainder when 37987951 is divided by 2703? 2692 What is the remainder when 62345166 is divided by 937? 934 Calculate the remainder when 621598 is divided by 310763. 72 What is the remainder when 37335273 is divided by 297? 294 Calculate the remainder when 449372 is divided by 63. 56 What is the remainder when 5200043 is divided by 585? 563 Calculate the remainder when 1045102 is divided by 262. 246 What is the remainder when 390806 is divided by 977? 6 What is the remainder when 5492368 is divided by 147? 7 Calculate the remainder when 935459 is divided by 358. 5 Calculate the remainder when 974615 is divided by 243269. 1539 What is the remainder when 17897489 is divided by 585? 584 Calculate the remainder when 11441419 is divided by 425. 419 Calculate the remainder when 21170472 is divided by 555. 552 Calculate the remainder when 181054219 is divided by 67482. 13 Calculate the remainder when 31542587 is divided by 7885646. 3 What is the remainder when 4298559 is divided by 54412? 11 Calculate the remainder when 1284338 is divided by 3081. 2642 Calculate the remainder when 46380 is divided by 21721. 2938 What is the remainder when 403387 is divided by 2101? 2096 What is the remainder when 4389585 is divided by 4145? 30 Calculate the remainder when 648152 is divided by 652. 64 What is the remainder when 22468 is divided by 1121? 48 Calculate the remainder when 13877 is divided by 13869. 8 Calculate the remainder when 272231 is divided by 945. 71 What is the remainder when 470563 is divided by 2189? 2117 Calculate the remainder when 2407981 is divided by 802657. 10 Calculate the remainder when 8717802 is divided by 1743527. 167 What is the remainder when 349126 is divided by 32? 6 Calculate the remainder when 191697 is divided by 61820. 6237 Calculate the remainder when 26835119 is divided by 5367021. 14 What is the remainder when 7912088 is divided by 1671? 1574 Calculate the remainder when 15186559 is divided by 1048. 1039 Calculate the remainder when 48547 is divided by 14114. 6205 Calculate the remainder when 59056 is divided by 13348. 5664 Calculate the remainder when 21539 is divided by 270. 209 What is the remainder when 14567422 is divided by 1953? 1948 What is the remainder when 18622328 is divided by 78? 62 Calculate the remainder when 2739283 is divided by 77. 8 Calculate the remainder when 5627654 is divided by 1622. 936 Calculate the remainder when 8769212 is divided by 192. 188 Calculate the remainder when 9067 is divided by 333. 76 What is the remainder when 45630413 is divided by 51? 50 What is the remainder when 124390816 is divided by 59? 54 What is the remainder when 5375 is divided by 2257? 861 Calculate the remainder when 1738163 is divided by 399. 119 What is the remainder when 169878 is divided by 48? 6 Calculate the remainder when 70933003 is divided by 599. 22 Calculate the remainder when 9767522 is divided by 23. 20 What is the remainder when 15442217 is divided by 28918? 5 What is the remainder when 6118371 is divided by 128? 99 Calculate the remainder when 1349044 is divided by 26. 8 Calculate the remainder when 185089 is divided by 4113. 4 What is the remainder when 8010991 is divided by 616229? 14 What is the remainder when 398564 is divided by 398476? 88 Calculate the remainder when 276869 is divided by 10636. 333 Calculate the remainder when 179190605 is divided by 67. 43 What is the remainder when 795397 is divided by 397697? 3 What is the remainder when 496506 is divided by 16016? 10 Calculate the remainder when 20497159 is divided by 891180. 19 Calculate the remainder when 13679298 is divided by 1052240. 178 What is the remainder when 2588900 is divided by 738? 734 What is the remainder when 1745992 is divided by 255? 7 What is the remainder when 11403923 is divided by 2106? 2039 What is the remainder when 79746627 is divided by 13? 12 Calculate the remainder when 111747 is divided by 8573. 298 What is the remainder when 4273575 is divided by 6? 3 Calculate the remainder when 759036 is divided by 1399. 778 What is the remainder when 880408 is divided by 146315? 2518 Calculate the remainder when 498034 is divided by 229. 188 What is the remainder when 856937 is divided by 189? 11 C
{ "pile_set_name": "DM Mathematics" }
In base 12, what is -23407 - 4? -2340b In base 5, what is -12430230 + -13? -12430243 In base 13, what is -5 - 1032? -1037 In base 16, what is -127 - -56? -d1 In base 8, what is -1043715 + 15? -1043700 In base 11, what is -34931 + -1? -34932 In base 2, what is -1 - -11000010101001? 11000010101000 In base 12, what is -4 - 84906? -8490a In base 15, what is -71 + a26? 9a5 In base 5, what is -214120 + -4? -214124 In base 14, what is -20dd9 + -3? -20ddc In base 16, what is -10df70 - 1? -10df71 In base 5, what is 31420 + -444? 30421 In base 7, what is -2221 + 104? -2114 In base 7, what is -5126 + 35? -5061 In base 6, what is 5 - 240510? -240501 In base 15, what is -3042a - 6? -30431 In base 5, what is -144 + 322? 123 In base 7, what is -313 - 5414? -6030 In base 3, what is -1100000 - -2121? -1020102 In base 15, what is -985 - -2a? -95a In base 9, what is 20017 + 11? 20028 In base 9, what is 527 - 203? 324 In base 7, what is -424 + 312? -112 In base 9, what is 2 + -10433? -10431 In base 10, what is -22461 - -14? -22447 In base 9, what is -10 + -502? -512 In base 4, what is 23 - 1013202? -1013113 In base 11, what is -4797 - -1? -4796 In base 9, what is 2 + 658377? 658380 In base 16, what is 5 + -2b05? -2b00 In base 11, what is 20 - -2a34? 2a54 In base 4, what is 2 - 322? -320 In base 3, what is -20000122 + 1221010? -11002112 In base 16, what is 14 - -2fd3? 2fe7 In base 3, what is -11012 + -1? -11020 In base 3, what is -1200002202000 - -10? -1200002201220 In base 6, what is -1 + -10042? -10043 In base 9, what is 71 - -31600? 31671 In base 8, what is -3 - -20164? 20161 In base 10, what is 190 + 6? 196 In base 10, what is 180441 + -4? 180437 In base 10, what is -1398 + 682? -716 In base 10, what is -3 - -16708? 16705 In base 10, what is -16717 + -6? -16723 In base 2, what is 101 + -10110101010110111111? -10110101010110111010 In base 12, what is 79992 + 0? 79992 In base 7, what is 4 - -3066410? 3066414 In base 3, what is -22 - -12222222011? 12222221212 In base 6, what is 33 + 4241? 4314 In base 5, what is -4 + 1023031? 1023022 In base 4, what is 12 - 23330131? -23330113 In base 3, what is 110221122 - -1212? 111000111 In base 10, what is 538 + -4049? -3511 In base 11, what is 3114 + -22? 30a2 In base 12, what is 5 - 37554? -3754b In base 2, what is 101000000101 - -1000? 101000001101 In base 12, what is 2193 + -7? 2188 In base 6, what is 541 + 450? 1431 In base 4, what is -300 - 110002? -110302 In base 13, what is -5355 - 1b? -5373 In base 9, what is -1266408 + -3? -1266412 In base 6, what is -325 + -13200? -13525 In base 9, what is 60 - 5642? -5572 In base 4, what is 121 + 101301? 102022 In base 3, what is 10201102 + -11? 10201021 In base 8, what is 202111 - 5? 202104 In base 15, what is -34 + 7b0? 77b In base 15, what is -181 + -c7? -258 In base 13, what is 451574 + 1? 451575 In base 11, what is 21 - a69? -a48 In base 7, what is 302 + -332? -30 In base 10, what is -73609 + 4? -73605 In base 2, what is 11110 - 101000011100010? -101000011000100 In base 11, what is 1820 + -707? 1114 In base 8, what is -4 - -151434? 151430 In base 6, what is 50354 - 11? 50343 In base 15, what is 62 - -7d26? 7d88 In base 16, what is -57da + d9? -5701 In base 12, what is 1077 + 20? 1097 In base 14, what is -301 - 81? -382 In base 2, what is -1001001000101 + 111? -1001000111110 In base 7, what is 1121 - 26305? -25154 In base 7, what is 164 + -635? -441 In base 5, what is -143144 - -21? -143123 In base 5, what is -1 - -14334144? 14334143 In base 14, what is 3d + -188? -149 In base 3, what is 2020101 - -1022202? 10120010 In base 10, what is 363 + 6? 369 In base 11, what is -70 + 1344? 1284 In base 5, what is -101320 + 1? -101314 In base 3, what is 12012101100 + -20? 12012101010 In base 7, what is -4 + -44061? -44065 In base 11, what is -153 + -92a? -a82 In base 3, what is -1222212 + 1100121? -122021 In base 2, what is -100111100111100110 - 101? -100111100111101011 In base 11, what is 4a3 - -8a? 582 In base 10, what is 3966 - -7? 3973 In base 4, what is -13232 - -311? -12321 In base 4, what is -1002020111 - 11? -1002020122 In base 4, what is -213033210 + 20? -213033130 In base 3, what is -2 - -1020? 1011 In base 2, what is -11010111 + -1110110001111? -1111001100110 In base 8, what is -722206 - 1? -722207 In base 2, what is 11 + 1100000111011? 1100000111110 In base 14, what is -8131c + -13? -81331 In base 13, what is 237a3 + -4? 2379c In base 3, what is 21110 - -1022101? 1120211 In base 8, what is 2 - 26131? -26127 In base 3, what is -22021 - -120121? 21100 In base 10, what is 13113 + -1? 13112 In base 9, what is 117727 - 1? 117726 In base 12, what is 4 + -b463? -b45b In base 10, what is 3764221 - -1? 3764222 In base 2, what is 10 - -10110101011000? 10110101011010 In base 10, what is -4 - 172589? -172593 In base 15, what is ac + -24? 88 In base 7, what is 2 + -601554? -601552 In base 10, what is 14061 + -102? 13959 In base 4, what is 310112 + -11? 310101 In base 10, what is -8 + 17363? 17355 In base 5, what is 13 + 44000? 44013 In base 16, what is 2 - -2ba1? 2ba3 In base 8, what is -1347 - 76? -1445 In base 7, what is 21 - 1306162? -1306141 In base 2, what is -1 - 11110101001001? -11110101001010 In base 7, what is 4 - 60242? -60235 In base 7, what is -21541101 + -1? -21541102 In base 7, what is 35504 - -12? 35516 In base 12, what is -114449 - 1? -11444a In base 9, what is 26 - 88783? -88756 In base 11, what is 268 - -3250? 3508 In base 6, what is 11553 - -3? 12000 In base 10, what is -10 - 143719? -143729 In base 16, what is -40f94 - d? -40fa1 In base 3, what is 2021 - 1012022? -1010001 In base 2, what is 0 - -1010010011011111100? 1010010011011111100 In base 9, what is 40245 + -262? 38873 In base 10, what is 9584 + -6? 9578 In base 15, what is 4 - 3d8c? -3d88 In base 8, what is 446 + 133? 601 In base 16, what is c06f + -2? c06d In base 15, what is 2b6 + -223? 93 In base 8, what is 33 + -127? -74 In base 5, what is 213233422 + -1? 213233421 In base 8, what is -133 + -1421? -1554 In base 15, what is -ca1a - -1? -ca19 In base 16, what is 4c - -357e? 35ca In base 12, what is 1844 - -3? 1847 In base 16, what is -d37 - -1b? -d1c In base 4, what is -22211121 - -1032? -22210023 In base 3, what is 110222212 + 11? 111000000 In base 11, what is -6730 + 7? -6724 In base 10, what is -7685 - 303? -7988 In base 5, what is 34 - -4040131? 4040220 In base 8, what is -50207 - 0? -50207 In base 8, what is 16 - 767527? -767511 In base 9, what is 2404 + 1212? 3616 In base 2, what is 10100000111001 + -10101? 10100000100100 In base 8, what is -52 + 24202? 24130 In base 11, what is -2 + 1433? 1431 In base 4, what is 11 + 10120010? 10120021 In base 3, what is 10020 + -10021? -1 In base 8, what is -4012 + 14? -3776 In base 6, what is -3 + -21320131? -21320134 In base 9, what is 11 - 40471? -40460 In base 9, what is 86788 - 4? 86784 In base 9, what is 24618 + 6? 24625 In base 16, what is 16 + 8e0? 8f6 In base 12, what is -1 - -64340? 6433b In base 4, what is -1112 - -302? -210 In base 13, what is 1343a + 2? 1343c In base 12, what is 1657 - 189? 148a In base 12, what is 1ab1a + 72? 1ab90 In base 10, what is -556 + 110? -446 In base 7, what is -1 + -530622? -530623 In base 13, what is -22c6 + 862? -1764 In base 5, what is -2 + -120143? -120200 In base 6, what is 4 - 212413? -212405 In base 14, what is -5 - 9293? -9298 In base 5, what is 12320432 - -34? 12321021 In base 16, what is 6 + -5df? -5d9 In base 8, what is -10607 + 106? -10501 In base 13, what is -5b00 - -63? -5a6a In base 3, what is 211111012 + 101? 211111120 In base 4, what is -123320 + -122? -130102 In base 4, what is -1230311 - 0? -1230311 In base 9, what is 87142 + -3? 87138 In base 2, what is 10001011101 + -100? 10001011001 In base 9, what is 80 - 371? -281 In base 7, what is -36303 - 225? -36531 In base 3, what is -11 + 2011112000121? 2011112000110 In base 12, what is -26589 - 0? -26589 In base 11, what is 5 + -6a66a? -6a665 In base 12, what is 608 + 43? 64b In base 7, what is 22 + -6143? -6121 In base 16, what is bf90 - -4? bf94 In base 16, what is 0 - 24e2? -24e2 In base 16, what is -822a + 1? -8229 In base 15, what is -2 + 104a53? 104a51 In base 3, what is -1222001102102 + 0? -1222001102102 In base 6, what is -32 - 51533? -52005 In base 4,
{ "pile_set_name": "DM Mathematics" }
e v. -98, 4 Factor -v**2/5 + 76*v/5 + 64. -(v - 80)*(v + 4)/5 Solve 3*g**3 + 1659*g**2 = 0. -553, 0 Let 4*z**3 + 176*z**2 - 788*z - 960 = 0. Calculate z. -48, -1, 5 Solve -z**2/8 + 11*z/4 - 21/8 = 0. 1, 21 Factor j**4 + 12*j**3 + 22*j**2 - 84*j + 49. (j - 1)**2*(j + 7)**2 Determine x so that 25*x**4 - 5*x**3 - 625*x**2 + 125*x = 0. -5, 0, 1/5, 5 Factor c**3/3 + 3*c**2 + 5*c + 7/3. (c + 1)**2*(c + 7)/3 Solve -3*w**4 - 123*w**3 - 237*w**2 - 117*w = 0. -39, -1, 0 Factor b**4 - 52*b**3 + 862*b**2 - 4260*b - 5175. (b - 23)*(b - 15)**2*(b + 1) Solve -2*k**4 - 24*k**3 + 198*k**2 - 316*k + 144 = 0 for k. -18, 1, 4 Solve 24964*o**2 - 1264*o + 16 = 0. 2/79 Factor -5*y**3 + 5*y. -5*y*(y - 1)*(y + 1) Factor -3*n**3 - 963*n**2 - 103041*n - 3675129. -3*(n + 107)**3 Factor -o**3/4 + 11*o**2 - 325*o/4 - 1875/2. -(o - 25)**2*(o + 6)/4 Factor 2*j**5/7 - 12*j**4/7 + 4*j**3 - 32*j**2/7 + 18*j/7 - 4/7. 2*(j - 2)*(j - 1)**4/7 Let 45*y**3/2 + 44*y**2 - 2*y = 0. Calculate y. -2, 0, 2/45 Let -12*h**5/5 - 112*h**4/5 - 396*h**3/5 - 648*h**2/5 - 464*h/5 - 96/5 = 0. What is h? -3, -2, -1/3 Factor -3*p**3 - 189*p**2 + 1008*p - 816. -3*(p - 4)*(p - 1)*(p + 68) Factor -512*d**3 - 2688*d**2 - 2760*d + 2116. -4*(2*d - 1)*(8*d + 23)**2 Let y**4/3 + 5*y**3 - 98*y**2/3 + 16*y + 160/3 = 0. What is y? -20, -1, 2, 4 Factor 3*z**3/5 - 28251*z**2/5 + 88679889*z/5 - 92788723857/5. 3*(z - 3139)**3/5 Factor -20*i**3/7 + 8*i**2 - 52*i/7 + 16/7. -4*(i - 1)**2*(5*i - 4)/7 Let -3*g**3 - 216*g**2/5 - 387*g/5 - 186/5 = 0. Calculate g. -62/5, -1 What is m in -3*m**4 + 30*m**3 + 213*m**2 + 180*m = 0? -4, -1, 0, 15 Determine q, given that 3*q**3 - 90*q**2 = 0. 0, 30 Solve -396*y**5/7 - 3426*y**4/7 + 5190*y**3/7 - 1488*y**2/7 + 120*y/7 = 0. -10, 0, 1/6, 2/11, 1 Factor 5*p**5 + 30*p**4 - 75*p**3 + 40*p**2. 5*p**2*(p - 1)**2*(p + 8) Suppose 2*m**3 + 130*m**2 - 268*m = 0. What is m? -67, 0, 2 Determine i so that -5*i**3 + 110*i**2 = 0. 0, 22 Factor -3*s**3 + 444*s**2 + 447*s. -3*s*(s - 149)*(s + 1) Solve 6*i**3 + 206*i**2 - 142*i - 70 = 0. -35, -1/3, 1 Factor -3*t**2 - 156*t. -3*t*(t + 52) Factor 58*q**3/3 - 634*q**2/3 + 1000*q/3 + 24. 2*(q - 9)*(q - 2)*(29*q + 2)/3 Factor -3*l**2/7 - 123*l/7. -3*l*(l + 41)/7 Factor -2*w**4 - 62*w**3 - 210*w**2 + 198*w + 972. -2*(w - 2)*(w + 3)**2*(w + 27) Factor -5*g**2 + 720*g - 2115. -5*(g - 141)*(g - 3) Solve -6*a**2/7 - 244*a/7 - 160/7 = 0 for a. -40, -2/3 Factor 5*c**2 - 5530*c + 1529045. 5*(c - 553)**2 Suppose 2*f**3/3 + 14*f**2/3 + 10*f + 6 = 0. Calculate f. -3, -1 Find j, given that -2*j**2/3 + 208*j/3 - 392 = 0. 6, 98 Solve i**5/2 + 227*i**4/2 + 671*i**3/2 - 227*i**2/2 - 336*i = 0 for i. -224, -3, -1, 0, 1 Suppose -2*p**2 + 2448*p - 749088 = 0. What is p? 612 What is q in 3*q**4/2 + 117*q**3 - 2277*q**2/2 + 3108*q - 2088 = 0? -87, 1, 4 Solve d**3/4 - 25*d**2/2 = 0 for d. 0, 50 Determine d, given that -4*d**2 + 292*d - 1104 = 0. 4, 69 Solve -3*i**4 + 150*i**3 - 2592*i**2 + 16896*i - 24576 = 0 for i. 2, 16 Solve -d**2 - 47*d + 98 = 0 for d. -49, 2 Solve 9*d**5 - 12*d**4 - 6*d**3 + 12*d**2 - 3*d = 0. -1, 0, 1/3, 1 Determine p, given that -3*p**4/7 - 264*p**3/7 - 5805*p**2/7 + 264*p/7 + 5808/7 = 0. -44, -1, 1 Find x, given that 14*x**4 + 52*x**3/5 - 102*x**2/5 - 52*x/5 + 32/5 = 0. -8/7, -1, 2/5, 1 Factor -4*o**3/9 - 28*o**2/3 + 88*o/9. -4*o*(o - 1)*(o + 22)/9 Factor -10*t**3 - 15*t**2 + 60*t - 35. -5*(t - 1)**2*(2*t + 7) Suppose 3*t**4/2 + 107*t**3/2 + 101*t**2 = 0. What is t? -101/3, -2, 0 Factor 4*k**3 + 24*k**2 + 36*k. 4*k*(k + 3)**2 Factor 3*c**5/2 - 9*c**4 + 33*c**3/2 - 3*c**2 - 18*c + 12. 3*(c - 2)**3*(c - 1)*(c + 1)/2 Factor c**5/3 - 3*c**4 + 29*c**3/3 - 13*c**2 + 6*c. c*(c - 3)**2*(c - 2)*(c - 1)/3 Factor -v**2/3 + 134*v/3 - 4489/3. -(v - 67)**2/3 Factor -13*z**5/3 - 10*z**4/3 + 19*z**3/3 + 16*z**2/3. -z**2*(z + 1)**2*(13*z - 16)/3 Factor 5*g**5/3 - 20*g**4 + 75*g**3 - 250*g**2/3. 5*g**2*(g - 5)**2*(g - 2)/3 Solve -3*s**5 - 48*s**4/7 + 135*s**3/7 - 6*s**2 - 24*s/7 = 0. -4, -2/7, 0, 1 Suppose 5*f**5 + 2*f**4 - 45*f**3 - 38*f**2 + 52*f + 24 = 0. What is f? -2, -2/5, 1, 3 Find t such that -3*t**4/4 + 3*t**3/4 + 15*t**2/2 + 6*t = 0. -2, -1, 0, 4 Let 2*q**3/7 + 142*q**2/7 + 2448*q/7 - 2592/7 = 0. What is q? -36, 1 Suppose t**3/8 - 183*t**2/8 - 23*t = 0. Calculate t. -1, 0, 184 What is z in 20*z**5/3 + 502*z**4/3 + 1636*z**3/3 - 1786*z**2/3 + 140*z = 0? -21, -5, 0, 2/5, 1/2 Factor j**2/4 + 1083*j/2. j*(j + 2166)/4 Let 4*h**4 - 492*h**3 + 14880*h**2 + 15376*h = 0. Calculate h. -1, 0, 62 Factor -3*h**2 + 255*h - 1422. -3*(h - 79)*(h - 6) Find c, given that 2*c**4 - 40*c**3 + 200*c**2 = 0. 0, 10 Factor -5*c**3 + 40*c**2 - 105*c + 90. -5*(c - 3)**2*(c - 2) Factor -3*c**2/5 - 147*c/5 - 144/5. -3*(c + 1)*(c + 48)/5 Solve -14*x**4/11 + 116*x**3/11 - 32*x**2/11 = 0 for x. 0, 2/7, 8 Find z, given that 3*z**3 + 24*z**2 + 15*z - 150 = 0. -5, 2 Solve k**4/7 - 2*k**3/7 - 8*k**2/7 + 18*k/7 - 9/7 = 0 for k. -3, 1, 3 Factor 3*r**4 - 15*r**3 + 21*r**2 - 9*r. 3*r*(r - 3)*(r - 1)**2 Find k, given that k**4/3 + 190*k**3/3 + 4292*k**2 + 356584*k/3 + 3121792/3 = 0. -58, -16 Let 3*y**2 - 78*y - 168 = 0. Calculate y. -2, 28 What is k in -k**5/7 + 4*k**4/7 - 10*k**2/7 + k/7 + 6/7 = 0? -1, 1, 2, 3 Factor -3*k**2/4 + 123*k/4 - 30. -3*(k - 40)*(k - 1)/4 Factor 2*i**2 + 1272*i - 3834. 2*(i - 3)*(i + 639) Solve 4*m**4 + 8*m**3 - 4*m**2 - 8*m = 0 for m. -2, -1, 0, 1 Factor -4*q**2/3 - 10208*q/3 - 6512704/3. -4*(q + 1276)**2/3 Factor 64*g**4 + 224*g**3 + 228*g**2 + 72*g. 4*g*(g + 2)*(4*g + 3)**2 Find y, given that -80*y**3 + 520*y**2 - 245*y + 30 = 0. 1/4, 6 Determine t so that t**4 - 6*t**3 - 315*t**2 = 0. -15, 0, 21 Factor 25*d**4 + 365*d**3 + 1446*d**2 + 476*d - 2312. (d - 1)*(d + 2)*(5*d + 34)**2 Suppose -h**4/3 + 2*h**3/3 + 7*h**2/3 + 4*h/3 = 0. What is h? -1, 0, 4 Factor q**2 - 299*q. q*(q - 299) Factor -2*n**4/3 - 1018*n**3/3 - 1014*n**2 - 3038*n/3 - 1012/3. -2*(n + 1)**3*(n + 506)/3 Factor -5*h**4 - 50*h**3 - 105*h**2 + 200*h + 500. -5*(h - 2)*(h + 2)*(h + 5)**2 Find c, given that 2*c**5/7 + 16*c**4/7 + 22*c**3/7 - 16*c**2/7 - 24*c/7 = 0. -6, -2, -1, 0, 1 Determine j so that -24*j**5 + 44*j**4 + 944*j**3 + 1788*j**2 + 1040*j + 128 = 0. -4, -1, -1/6, 8 Suppose 4*j**5 + 8*j**4 - 12*j**3 - 32*j**2 - 16*j = 0. What is j? -2, -1, 0, 2 Factor -2*g**2 + 712*g - 63368. -2*(g - 178)**2 Suppose -4*b**2 - 660*b - 1304 = 0. Calculate b. -163, -2 Factor 3*n**4 + 108*n**3 + 1344*n**2 + 6912*n + 12288. 3*(n + 4)*(n + 8)**2*(n + 16) Suppose -75*p**5/2 - 2085*p**4/2 - 1716*p**3 + 1068*p**2 + 1416*p + 312 = 0. Calculate p. -26, -2, -2/5, 1 What is d in 9*d**3/4 + 18*d**2 - d - 8 = 0? -8, -2/3, 2/3 Find s, given that s**5 - 19*s**4 - 63*s**3 - 65*s**2 - 22*s = 0. -1, 0, 22 Factor -o**4 - 36*o**3 + o**2 + 36*o. -o*(o - 1)*(o + 1)*(o + 36) What is o in o**4/3 + 107*o**3/6 + 266*o**2 + 4175*o/6 - 1250/3 = 0? -25, -4, 1/2 Determine w, given that -w**3 + 7*w**2/2 + 10*w + 11/2 = 0. -1, 11/2 Determine v so that 2*v**4 + 18*v**3 - 40*v**2 - 216*v - 160 = 0. -10, -2, -1, 4 Find r, given that 3*r**3 + 60*r**2 - 363*r + 300 = 0. -25, 1, 4 Factor 14*h**3/5 + 108*h**2/5 - 32*h/5. 2*h*(h + 8)*(7*h - 2)/5 Factor 3*h**4/5 + 2766*h**3/5 + 637563*h**2/5. 3*h**2*(h + 461)**2/5 Let m**5 - 13*m**4 + 42*m**3 - 58*m**2 + 37*m - 9 = 0. Calculate m. 1, 9 Determine u, given that -u**2/4 + 15*u/4 + 19 = 0. -4, 19 Factor -3*g**2 - 57*g - 210. -3*(g + 5)*(g + 14) Factor 5*j**2 + 120*j - 725. 5*(j - 5)*(j + 29) Factor -2*p**3/5 + 26*p**2/5 + 28*p/5. -2*p*(p - 14)*(p + 1)/5 Let -16*y**5 - 44*y**4 + 12*y**3 + 64*y**2 - 16*y = 0. What is y? -2, 0, 1/4, 1 Suppose 2*q**4 + 80*q**3 + 432*q**2 + 832*q + 544 = 0. What is q? -34, -2 Factor d**4/6 - 7*d**3. d**3*(d - 42)/6 Factor -20*s**3 + 588*s**2 - 2992*s + 1104. -4*(s - 23)*(s - 6)*(5*s - 2) Determine n so that -n**4/3 - 98*n**3 - 7491*n**2 - 42336*n - 62208 = 0. -144, -3 Suppose 2*z**3/13 + 2070*z**2/13 + 536646*z/13 + 534578/13 = 0. What is z? -517, -1 Factor 735*d**3 - 77105*d**2 + 2034960*d - 669780. 5*(3*d - 1)*(7*d - 366)**2 Find m, given that 2*m**3 - 2*m**2 - 24*m = 0. -3, 0, 4 Suppose 3*y**3 - 1629*y**2 + 294849*y - 17789223 = 0. What is y? 181 Find n such that 2*n**5 + 8*n**4 + 6*n**3 - 8*n**2 - 8*n = 0. -2, -1, 0, 1 Factor 4*h**2 - 3064*h + 586756. 4*(h - 383)**2 Factor
{ "pile_set_name": "DM Mathematics" }
8. 43730 72 (base 8) to base 14 42 What is -12521 (base 6) in base 7? -5413 872 (base 11) to base 4 100113 -11712 (base 8) to base 16 -13ca 20000 (base 3) to base 6 430 What is -2322 (base 5) in base 3? -110111 What is 2304 (base 5) in base 13? 1c4 What is -500e (base 16) in base 5? -1123434 -313 (base 9) to base 4 -3333 What is -11100 (base 4) in base 8? -520 1341 (base 11) to base 7 5033 What is -11431 (base 5) in base 14? -45c Convert 52 (base 14) to base 10. 72 Convert 13a (base 16) to base 11. 266 Convert -133313 (base 4) to base 12. -121b 1114 (base 9) to base 6 3451 What is -2 (base 12) in base 15? -2 What is -29303 (base 12) in base 10? -57459 Convert -216 (base 8) to base 12. -ba What is -285 (base 12) in base 16? -185 What is -46510 (base 7) in base 2? -10111010001010 What is -1032 (base 12) in base 14? -902 -127266 (base 8) to base 16 -aeb6 What is -332 (base 9) in base 13? -17c Convert 3486 (base 11) to base 15. 154b Convert -134322 (base 8) to base 15. -e044 2004 (base 14) to base 6 41232 Convert c9d (base 14) to base 16. 9bb Convert -31313003 (base 4) to base 3. -2212212122 48e (base 15) to base 14 53c -23310 (base 9) to base 3 -210100100 What is 73050 (base 8) in base 11? 207a9 What is 204332 (base 5) in base 13? 3164 -514 (base 16) to base 13 -790 What is -10330 (base 5) in base 6? -3151 What is 210112 (base 5) in base 6? 51551 -26d4 (base 15) to base 9 -12341 683 (base 9) to base 4 20301 -15133 (base 10) to base 5 -441013 -10300102 (base 4) to base 3 -222201021 Convert -1b1 (base 14) to base 7. -1011 What is -210 (base 3) in base 2? -10101 What is 2132 (base 9) in base 2? 11000100000 What is -11111100 (base 2) in base 13? -165 84 (base 10) to base 13 66 493 (base 14) to base 15 40d 1201322 (base 4) to base 11 4787 What is -213213 (base 6) in base 4? -10102221 2051 (base 7) to base 9 882 -3351 (base 6) to base 4 -30103 What is -240641 (base 8) in base 4? -110012201 Convert 2a95 (base 14) to base 5. 220304 523 (base 9) to base 14 226 Convert 1b3 (base 14) to base 8. 541 What is 12549 (base 13) in base 3? 1201110010 What is -3857 (base 13) in base 6? -101035 1a680 (base 11) to base 2 111000001011101 Convert -1534 (base 9) to base 16. -48d What is 301a (base 11) in base 3? 12111200 7b21 (base 16) to base 7 160620 What is -2b3b (base 12) in base 3? -20222102 3616 (base 12) to base 10 6066 -172602 (base 8) to base 7 -351144 What is -251a (base 13) in base 10? -5262 What is -743 (base 13) in base 11? -a26 Convert 11100000101111 (base 2) to base 6. 150331 29a19 (base 11) to base 3 2011021202 102121002 (base 3) to base 12 4a85 -251 (base 9) to base 6 -544 101011111111 (base 2) to base 12 1767 Convert -112154 (base 6) to base 7. -36625 What is -2330 (base 5) in base 13? -202 What is 2020033 (base 4) in base 14? 326b What is 61602 (base 8) in base 16? 6382 What is -22215 (base 8) in base 15? -2b8c 768b (base 14) to base 7 113534 -4289 (base 10) to base 8 -10301 Convert -221003 (base 5) to base 3. -101110112 What is 1210 (base 6) in base 13? 198 Convert 2031101 (base 4) to base 13. 4166 Convert 366 (base 8) to base 16. f6 What is -328 (base 9) in base 10? -269 What is 102010 (base 3) in base 7? 606 What is -708 (base 12) in base 6? -4412 -406 (base 7) to base 8 -312 What is 100000 (base 4) in base 7? 2662 Convert -10011101110 (base 2) to base 10. -1262 What is 9a65 (base 12) in base 11? 11908 3 (base 12) to base 6 3 Convert -11b5 (base 13) to base 7. -10221 What is 6b6 (base 14) in base 11? 1005 What is 5034 (base 7) in base 3? 2101110 What is -2487 (base 9) in base 14? -96d What is -3512 (base 7) in base 16? -503 What is 1500 (base 12) in base 4? 212100 What is a13 (base 15) in base 7? 6420 -18004 (base 9) to base 6 -133221 What is 11235 (base 9) in base 12? 43b8 10112102022 (base 3) to base 12 34308 What is -340 (base 14) in base 9? -785 What is -2700 (base 15) in base 6? -102313 What is 824b (base 16) in base 7? 166150 Convert -1031012 (base 4) to base 11. -3786 Convert -21220 (base 4) to base 16. -268 a3a (base 12) to base 10 1486 What is 9f (base 16) in base 15? a9 What is 11896 (base 11) in base 14? 62d7 Convert -28dd (base 16) to base 15. -3176 4cc6 (base 13) to base 3 120001121 What is 7502 (base 11) in base 6? 113540 Convert -28638 (base 10) to base 9. -43250 Convert 1571 (base 11) to base 6. 13154 -21bc (base 16) to base 13 -3c14 -9429 (base 11) to base 8 -30316 15050 (base 8) to base 14 2624 What is -21ba (base 12) in base 7? -13624 Convert 13d (base 16) to base 4. 10331 3772 (base 9) to base 14 1055 -13215 (base 8) to base 5 -141043 -1001110111010110 (base 2) to base 15 -be8b What is -233412 (base 6) in base 11? -14230 827 (base 10) to base 13 4b8 What is 22a3 (base 13) in base 3? 20200012 What is -43b7 (base 13) in base 10? -9445 Convert 79 (base 10) to base 14. 59 What is 240210 (base 7) in base 15? cc83 -903 (base 12) to base 8 -2423 Convert 23239 (base 10) to base 15. 6d44 What is 12030 (base 4) in base 5? 3041 b3c (base 13) to base 2 11101110110 -42643 (base 7) to base 4 -2211313 Convert -720 (base 9) to base 7. -1464 What is -22212001 (base 3) in base 13? -2c26 Convert 20022220 (base 4) to base 14. c292 -12215 (base 7) to base 3 -11101102 What is -6221 (base 7) in base 5? -32141 -10313 (base 4) to base 5 -2221 302113 (base 4) to base 9 4371 What is 4114 (base 6) in base 2? 1110001110 -301040 (base 6) to base 4 -11300100 Convert 113332 (base 5) to base 14. 1773 Convert -123330 (base 4) to base 14. -91a What is -1213b (base 12) in base 3? -1020110002 211002 (base 4) to base 2 100101000010 What is -4dd (base 16) in base 5? -14440 What is -22100 (base 9) in base 5? -432121 Convert 291 (base 16) to base 3. 220100 Convert -20a9 (base 12) to base 10. -3585 What is 118 (base 12) in base 13? c8 103a0 (base 11) to base 12 88b6 Convert 10c8 (base 16) to base 4. 1003020 30000 (base 8) to base 11 9261 What is 3a8 (base 13) in base 9? 786 Convert 293 (base 14) to base 9. 638 355 (base 10) to base 16 163 Convert 505d (base 16) to base 15. 6168 Convert -1224 (base 5) to base 2. -10111101 What is 241531 (base 6) in base 16? 529f -1101021022 (base 3) to base 13 -c4a0 Convert 3a0 (base 14) to base 11. 602 Convert -110011100010000 (base 2) to base 4. -12130100 What is 10110211 (base 3) in base 16? 9e5 What is 3482 (base 9) in base 11? 1a40 Convert 36202 (base 7) to base 2. 10010010010001 Convert -1323321 (base 4) to base 14. -2c65 18976 (base 14) to base 16 f31c 6336 (base 10) to base 5 200321 122211 (base 4) to base 9 2300 What is 1325 (base 6) in base 8? 525 1211121 (base 4) to base 2 1100101011001 What is -10100011111111010 (base 2) in base 3? -11021011201 What is 126 (base 15) in base 12? 199 What is -55261 (base 8) in base 15? -6d2c 2153 (base 10) to base 6 13545 1154 (base 6) to base 12 1ba What is -225bb (base 12) in base 14? -1298b What is -110000100011111 (base 2) in base 7? -132326 -10343 (base 5) to base 6 -3203 Convert 30231 (base 4) to base 9. 1103 Convert 111110110001 (base 2) to base 9. 5453 What is -3210 (base 8) in base 3? -2021221 What is bbd (base 16) in base 10? 3005 Convert -4130 (base 5) to base 9. -660 Convert -20214 (base 6) to base 9. -3601 Convert -17342 (base 9) to base 6. -131145 Convert -529 (base 12) to base 2. -1011110001 What is 52 (base 12) in base 3? 2022 -1011001000 (base 2) to base 10 -712 What is -2213111 (base 4) in base 3? -112200122 -4de (base 16) to base 7 -3430 Convert 9e90 (base 16) to base 10. 40592 What is -2952 (base 12) in base 15? -165e Convert 121000 (base 3) to base 13. 273 Convert -1103221 (base 4) to base 16. -14e9 -4bb (base 15) to base 10 -1076 53116 (base 10) to base 6 1045524 What is bbc (base 13) in base 5? 31024 Convert -15a3 (base 12) to base 3. -10112020 What is -31133 (base 4) in base 13? -515 What is -db9 (base 15) in base 6? -22203 Convert -717 (base 9) to base 7. -1462 Convert 65355 (base 8) to base 14. 9d93 Convert 2211011 (base 3) to base 6. 13304 What is -4969 (base 11) in base 15? -1dc8 10010302 (base 4) to base 9 24804 Convert 241 (base 10) to base 2. 11110001 What is 684 (base 13) in base 2? 10001100010 -133151 (base 8) to base 6 -1000105 -2b1 (base 12) to base 4 -12211 What is 34 (base 7) in base 8? 31 Convert 1409 (base 16) to base 7. 20645 What is 5673 (base 8) in
{ "pile_set_name": "DM Mathematics" }
he third smallest value? (a) o (b) -4 (c) y (d) 2/7 d Let d be (2 - (-91)/(-35)) + 4/15. Which is the biggest value? (a) d (b) -0.03 (c) 38 c Let x be ((-19)/(-76)*1)/(2/(-12)). Let f = 0.3 + 0.2. Which is the second biggest value? (a) 4 (b) x (c) f (d) 0.2 c Let t = -252 + 252.3. Which is the biggest value? (a) 0.37 (b) t (c) -1/5 a Suppose -14 = 2*b + 4*l, -5*b - 9*l - 23 = -11*l. Let c = 3.94 - -0.06. What is the smallest value in -3, c, b? b Let i = -1.46 - -17.06. Let x = 0.6 - i. Let z = x + 14. What is the smallest value in 1/9, z, 1/3? z Let u = 79 + -79.41. Let x = u - 0.09. Which is the smallest value? (a) x (b) -3/7 (c) 1/3 a Let g = 98 - 97.959. Let o = g - -0.389. Let d = -0.23 + o. Which is the smallest value? (a) 0.3 (b) -0.3 (c) d b Suppose 5*v = k, 6*v - 4*v - 4*k = 0. Let s = 16 + -27. Which is the biggest value? (a) s (b) v (c) -1/6 b Let l be 2/(-4) + (-14)/28. Let m = 2 + -5. Let k = -807/22 + 73/2. Which is the second smallest value? (a) m (b) l (c) k b Let j = -21.4 - -21.38. Which is the third smallest value? (a) 2/9 (b) j (c) 3 (d) -2/5 a Let q = -0.0993 + 4.0993. Which is the second smallest value? (a) q (b) -1 (c) -0.54 c Let z = 0 + 3. Let y = 2236 - 2240. Which is the third biggest value? (a) z (b) y (c) -11 c Let p = -1 - -1.1. Let x = 1238.7 + -1239. Let m = -71/126 - -5/18. What is the second smallest value in p, m, x? m Let s = 0.09 + 4.91. Let x be ((-2)/2)/(70/413). Let b = x - -22/5. What is the smallest value in 2/13, b, s? b Let g be 36/24*(4 - 2). Which is the fourth biggest value? (a) 0 (b) g (c) 1/6 (d) -0.07 d Let z = 5837/7 + -836. Let d = 16/7 + z. What is the smallest value in 0, d, 1/5? 0 Let p = -37.79 + 0.79. Let x = p - -35. What is the smallest value in -5, x, 0.3? -5 Let j be (27/(-42))/(39/(-52)). What is the second smallest value in 5, j, 3? 3 Let z = 151.08 + -145. Let d = z - 0.08. What is the second smallest value in 0.4, d, 5? 5 Let i be (40/(-15) + 1)/((-10)/36). Suppose 0 = d + 3*m - 4, 6*d - d + i = -2*m. What is the third biggest value in 0, 4/3, d? d Let m = -154 - -163. Which is the smallest value? (a) -0.3 (b) m (c) 0 a Let i be (150/(-15))/((-6)/(-9)*-6). What is the biggest value in -4, i, -0.3? i Let v = 1.065 + -0.065. Let x = -20.9 - -22. Let z = v - x. Which is the smallest value? (a) 0.2 (b) -3 (c) z b Let b(o) = o - 2. Let g be b(1). Suppose -2 = -y - 1. Let z be -3 - (18/(-15) - y). What is the smallest value in g, z, 1? g Let k = 246 - 250. Which is the third smallest value? (a) k (b) 2 (c) 0.16 b Let u = -0.0502 - 0.3498. What is the biggest value in u, 4, -40.8? 4 Let m = -3.9 - -4. Let r be (-2 + -3)/(-6 - (1 - 6)). Let j = 800/9 + -89. Which is the second smallest value? (a) j (b) m (c) r b Let c = 431 + -1310/3. Let t = -2/3955 - -98887/23730. Let m = t + c. What is the biggest value in 0, m, -5? 0 Let w = -0.0447 - -0.0747. What is the third biggest value in w, 3, -4/3, 7? w Suppose 84 - 747 = 17*o. Which is the third biggest value? (a) o (b) 0.4 (c) 2/9 a Let w = 46.08 - 0.08. Let g = w - 45.81. Let y = 0.11 + g. What is the third smallest value in y, 3, -0.5? 3 Suppose -6*f = -83 + 65. Let y = 4.9 - 5. What is the second biggest value in f, 1, y? 1 Let j = -6.11 + 4.11. What is the smallest value in 0.6, -4/3, j? j Let f(v) = v**3 + 19*v**2 - 43*v - 20. Let p be f(-21). Which is the smallest value? (a) p (b) -33 (c) 2 b Let w be 441/(-54) + 5 - (-3 + 1). What is the biggest value in -0.8, -2, w? -0.8 Let t = 36.26 + -0.86. Let p = t - 35. What is the third smallest value in 1, -1, p? 1 Let j = -2726 + 2730. Which is the biggest value? (a) j (b) -760 (c) 2 (d) 5 d Let w = -305 + 303. Which is the biggest value? (a) w (b) -1/4 (c) 1/29 (d) 1 d Let k = 3.48 + -3.7. Let p = 0.18 - k. Which is the second biggest value? (a) -0.2 (b) p (c) -1 a Let l = -78 - -78.49. Let k = 0.05 - l. Let w = -0.34 - k. What is the smallest value in -1/4, -2, w? -2 Let k = 0.523 - 0.323. Let i = 101/70 + 2/35. What is the second smallest value in k, i, -0.3, -2/13? -2/13 Let h = -16.343 + -0.057. Let x = 16 + h. What is the third biggest value in 1/4, -8, x? -8 Suppose 3*q - 4*m + 247 = 0, q + 4*m + 89 = 12. Let b = -66 - 60. Let w be b/q*6/(-7). What is the biggest value in w, 0.3, -4? 0.3 Let f = 0.4943 + -0.0943. What is the third biggest value in -5, f, 2? -5 Suppose -3*o + 74 = 32. Let b be (4/9)/(o/21). What is the smallest value in -0.5, -1, b? -1 Let y = 419 + -418.956. Which is the second biggest value? (a) y (b) -2/5 (c) -4/3 (d) 0 d Let s be 2/(1 - 4/3). Let v = s - -9. Let k = -1.49678 - -0.49678. Which is the third smallest value? (a) -2 (b) k (c) v c Let n = 1032 + -1032. Which is the smallest value? (a) n (b) -14 (c) -8 b Let w be (39/6 - 6)*(-14 - 2). What is the third smallest value in 1/8, 6/5, -14, w? 1/8 Let n be (2 - -4)*(434/147 - 3). What is the fourth biggest value in 0.3, n, -1/5, 0? n Let f = 1417508596/765 + -1852952. Let j = -2/153 + f. Let r = 356 - 361. Which is the second biggest value? (a) 4 (b) r (c) j c Let k = -501.4 - -501. Which is the third smallest value? (a) -2/3 (b) k (c) -2/21 (d) 0.5 c Let g be (0/1)/2 + (-24)/(-36). What is the fourth smallest value in 0.1, 0.2, -1, g? g Let l = -457 - -456.9. What is the second biggest value in -0.059, -4, l? l Let h be ((-3)/(-4))/(115/230). Which is the smallest value? (a) -2/15 (b) -15 (c) h (d) 0.05 b Let c = 4/289 - 887/1445. What is the smallest value in 8, c, -1? -1 Let k be 9*((-2)/(-13) - 7/(-39)). Let y be k - -4*(-2 + (-13)/(-12)). What is the third biggest value in 2, y, -0.14? y Let i = 0.111 - 0.011. Let v = -1.4 + 1.4. Which is the biggest value? (a) v (b) i (c) 0.2 c Let r = 48/7 + -50/7. Let f = 2666/21 + -127. Let c = f + r. What is the biggest value in c, 0.1, 2/17? 2/17 Let y = -299269/3354 - -3780/43. Let k = 15/13 + y. Let v = 2 - 2.1. Which is the third smallest value? (a) 3/8 (b) k (c) v a Let p = 14.32 - 0.32. Let y = -32 + p. Let k = -17 - y. Which is the biggest value? (a) k (b) -0.1 (c) 2/5 a Let p(r) = -r - 2. Let i(c) = -c**3 - 6*c**2 - 3*c + 3. Let y be i(-5). Let l(j) = j + 4. Let z be l(y). Let w be p(z). What is the smallest value in w, 2, 4? w Let p = -0.4 + 0. Let y be (424 + -427)/(5 + -2 + 4). What is the third biggest value in -0.39, p, y, 0.3? p Let a = 0.061 - -0.039. Let s be (2/(-8)*-6)/(-9). What is the third smallest value in 8, a, s? 8 Let d be 408/(-54) - (-11 + 3). What is the third smallest value in 4, -1.6, d? 4 Let q = -1.822 + 0.352. Let v = q + 0.47. Let g = 49/2 + -24. What is the second smallest value in g, -3, v? v Let n = -53 - -47.2. Let t = 4.8 + n. Which is the fourth biggest value? (a) 4 (b) -0.5 (c) 3 (d) t d Let u = -1 - -43. Let j = -46 + u. Suppose -q - 3*k = 9, q = 2*k + 8 - 2. Which is the second biggest value? (a) j (b) q (c) 4/9 b Let f = 5.079 - 9.076. Let n = f - 0.003. Which is the third biggest value? (a) 1 (b) n (c) -2 (d) -2/3 c Let w(x) = -x**3 + 15*x**2 + 15*x + 17. Let p be 6/9*(25 + -1). Let d be w(p). What is the second smallest value in -4/5, 2, -0.1, d? -0.1 Let y = 0.0694 - 0.2694. Let s = 12 + -7. What is the smallest value in y, s, 0.2? y Let p be 4 - 1 - (-25 + 25). What is the third biggest value in p, 43, 1? 1 Let h = -0.043 + -0.024. What is the smallest value in -4, h, -5? -5 Let w = -219446/65 + 3376. Let v = w + -147/520. Which is the second biggest value? (a) -1/10 (b) 4 (c) v a Suppose p - 5*f - 25 = -5, -3*f = 12. What is the third biggest value in 0.2, 3, 2/9, p? 0.2 Let j = 369 - 7751/21. Let x be 2 - 3 - (5 + -6). Which is the smallest value? (a) x (b) 2/5 (c) j c Let c = 40 - 41.38. Let o = c + 1.28. Let p = -0.04 - -4.04. What is the third smallest value in p, -15, o? p Let j be (-1)/(-4) - (-3 - (-77)/20). What is the fourth smallest value in -2, -1, 5, j? 5 Suppose 0 = 18*t - 26 + 98. Let z = -4.2 - -4. What is the third smallest value in z, 2/11, t? 2/11 Let h = 2466 - 2466.4. What is the fourth smallest value in 1.04, h, 4, 2/3? 4 Let i = -3562.3 + 3563. Let y be 0 + -1 + 1 - -5. What is the third biggest value in i, y, -1? -1 Let j be (14/63 - 0/(-2))*-1. Which is the third biggest value?
{ "pile_set_name": "DM Mathematics" }
mon denominator of d and 39/169*(-16)/30. 455 Let y be 2*-1 + 13/(52/(-16)). Suppose 5*v + 4*s + 2396 = -0*s, 0 = 2*v + 5*s + 955. Find the common denominator of 95/6 and ((-664)/v)/((-2)/y). 60 Suppose z - 5 = 0, d = 4*z - 11 - 11. Let t be -1*(-2 - d) + -2. Calculate the lowest common multiple of (0 + 4)/(t/(-10)) and 2. 20 Let d(k) = 176*k**2 - 4*k + 3. Let n be d(4). Let s = 22393/8 - n. Find the common denominator of (-2)/8*226/5 and s. 40 Let o = 193 + -148. What is the smallest common multiple of 25 and o? 225 Let h be 5 + (1446/11)/((-4)/(-126)). Let w(x) = 2073*x - 3. Let c be w(2). Let y = h - c. Calculate the common denominator of 17/7 and y. 77 Let k = -21 + 31. Let y(v) = v**3 + 5*v**2 - 6*v + 1. Let i be y(-6). What is the lowest common multiple of 12 - (-1 - 0 - i) and k? 70 Suppose -5*p - 59 - 91 = 0. Find the common denominator of -71/6 and -1 + 317/p + (-6)/10. 6 Let f = 49 + -33. Let i = -16 + f. Calculate the common denominator of 528/(-12) - (i - -1) and -42/5. 5 Let g(a) = -a**2 - 6*a - 6. Let k be g(-4). Suppose -15*x + 125 = -25. What is the least common multiple of (4/k)/(-4)*-2 and x? 10 What is the lowest common multiple of 65 and 12/60 - (1 - (-29)/(-5))? 65 Suppose 4 = 2*q - w, 3*w = -2*q + 6 - 2. Suppose -q*j + 18 = j. What is the smallest common multiple of -46*5/(-10) - 3 and j? 60 Suppose 4*x - 2617 = 10003. Let h = x - 12713/4. Let y = -1993/156 - -191/13. Find the common denominator of y and h. 12 Let c = 9792 - 78199/8. Let b = 1141/72 - c. Find the common denominator of 4/(-6) + 18/4 and b. 18 Suppose 15 = 3*s - 0*s, 5*s - 15 = 5*n. Suppose 38 = n*b + 2. Find the common denominator of b and -48/7. 7 Let u(g) = g**2 + 5*g + 5. Let v be u(-5). Suppose 0*r - r + v*q - 8 = 0, -q + 73 = 4*r. Let p = r + -15. What is the least common multiple of p and 6? 6 Let u be ((-141)/(-10))/(54/(-255)). Let g = 232/3 + u. Find the common denominator of ((-12)/110)/(-21 - (-2115)/100) and g. 44 Let v(k) = -k**2 - 10*k. Let w be v(-10). Suppose w = 3*p - 219 - 3. What is the lowest common multiple of 10 and p? 370 Let n(t) = -3*t - 2. Let k be n(-1). Suppose -p - 40 = -6*p + 5*a, 5*p - 4*a - 35 = 0. Calculate the lowest common multiple of 6 and p*3/9*k. 6 Suppose -19*q = 5*u - 24*q - 125, 2*u - 45 = -3*q. What is the least common multiple of 12 and u? 24 Find the common denominator of 5 + (-705)/200*-2 + -8 and 3/9 - 166/12. 20 Let p = -1 - -1. Suppose p = 2*o - 3 - 3. Suppose -5 + o = -m. Calculate the lowest common multiple of m and 23. 46 Let h = 488 - 472. Calculate the lowest common multiple of 112 and h. 112 Calculate the common denominator of (-2 - (-12)/5) + (-18837)/780 and -67/30. 60 Let y = -44 - -68. Suppose -2*b = -5*m - 26, -18 = -b - b + m. What is the lowest common multiple of b/(-3)*(-21)/4 and y? 168 Let r(b) = -2*b + 6. Let c be 441/12*(-8)/(-3). Suppose -4*p = -3*l + 78, -5*l - 3*p = p - c. Calculate the smallest common multiple of l and r(-6). 198 Suppose 2*j = 9*p - 4*p + 13, -5*j - 4*p = -82. Suppose -25*i + 20*i + 175 = 0. Suppose 4*w = i + 21. What is the least common multiple of w and j? 14 Suppose 0 = 4*f + 292 + 44. What is the common denominator of (-2)/((-21)/(-12) - 1) and 4/14 + 1228/f? 3 Suppose -5*t - 2*i = -24, -2*t - 7 = 10*i + 11. What is the least common multiple of t and 38? 114 Let x = -16738 + 150800/9. Let u = 763/18 - x. Find the common denominator of (-2)/5 + 622/(-120) and u. 12 Let g = 57737188/550627 - 2/78661. Let q = g - 4859/42. Calculate the common denominator of q and 63/10. 30 Let d be (74/(-8))/(4/24). Let y = 101 + d. Find the common denominator of (-17)/1190*-7 + (-463)/(-20) and y. 4 Suppose 10*x = 14*x. Let h(p) = 2*p**2 + p + 38. Calculate the common denominator of -29/15 and h(x). 15 Let k = -3/4676 - -90019/9352. What is the common denominator of 95/4 + 1 + -3 and k? 8 What is the common denominator of 29/6 and (-8050)/(-3724) - 4/(-14)? 114 Calculate the common denominator of 77/36 and ((-32)/216)/(-7*(-8)/492). 252 Suppose 3*a - 7 = 5*b - 4, 0 = 4*a + 5*b - 39. Calculate the smallest common multiple of 24 and a. 24 Calculate the smallest common multiple of 376 and 846/(-15)*(525/(-9))/7. 1880 Let a = -111849/13 + 8609. Let n = a + 347/130. Find the common denominator of n and -21/5. 10 Let o be 4/6*2505/2. Calculate the common denominator of 3 - 0 - o/90 and ((-159)/(-9))/(0 + (-8)/3). 72 Suppose -35 = 2*f - 43. Let w be (f/114)/(12/54). Let t = w + -28/57. Calculate the common denominator of 14/5 and t. 15 Let f = -42443/3570 + 203/17. Find the common denominator of f and -19/30. 210 Let v = -19 + 24. Let y(c) be the second derivative of c**4/6 - c**3 - c**2 - 2*c. What is the lowest common multiple of 22 and y(v)? 198 Calculate the lowest common multiple of -28*9/72*-8 and (-4)/3*(3 - 6). 28 Suppose 5*b = 2*b - 147. What is the common denominator of 115/14*b/(-84)*-2 and -29/20? 60 Find the common denominator of (-399)/(-828) - 3*(-6)/72 and 35/4. 276 Let u(f) = f**2 - 6*f - 5. Let q be u(7). Suppose -1 - 19 = -q*s. What is the lowest common multiple of s and (1/2)/((-2)/(-20))? 10 Let q be (-44)/(-20) + 2/(-10). Suppose q*b + 0 = -1514. Find the common denominator of b/70 + (-2)/7 and -35/12. 60 What is the smallest common multiple of 29 and (-301)/(-56) + (-6)/16? 145 Let u = -7633 - -13256. Let k = 33821/6 - u. Calculate the common denominator of 62/45 and k. 90 Let u = -2/75 + -1244/225. What is the common denominator of (-292)/(-16) + (-3)/2 and u? 36 Calculate the common denominator of 9/76 and (6/14)/(9/(-2 - 7)). 532 Let b(i) = 2*i - 6. Let r be b(7). Let p = r + 2. Let l(x) = x**3 - 8*x**2 - 9*x + 11. What is the least common multiple of l(9) and p? 110 Calculate the common denominator of 2 + 3/(-14)*-13 and (33/(-3080)*-15)/((-6)/(-184)). 14 Let k = 476717/918 - 3115/6. Find the common denominator of 97/204 and k. 1836 Suppose -p + 5*g - 8 = -6, 0 = 4*p + 5*g - 92. What is the least common multiple of p and 240? 720 Let b = 13 - 10. Calculate the common denominator of 37/10 and ((-2)/b)/(224/(-1449)). 80 Suppose 105 = -2*y + 4*y - 5*w, -2*y + w + 101 = 0. Suppose -38 = -4*q + k - 4*k, y = 5*q + 5*k. What is the smallest common multiple of 12 and q? 24 Let y(q) = 2*q**2 + q - 4. Let h be y(3). Calculate the least common multiple of (-5 + h)*(-2)/6*-2 and 50. 200 Suppose 21*p - 46*p = -400. What is the smallest common multiple of 400 and p? 400 Let u = 3 - -3. Let y(n) = -n**3 + 5*n**2 + 7*n - 5. Let m be y(u). What is the common denominator of 38/7 and (-282)/24 + m*4? 28 What is the lowest common multiple of (5 + -1 - 28)/(18/(-27)) and 324? 324 Let y = -2353/3 - -16360/21. What is the common denominator of y and 42/29? 203 Suppose 3*u = -x + 1, 507*x - 2 = -4*u + 506*x. Calculate the least common multiple of 514 and u. 514 Let x(n) = -n**2 - 6*n + 5. Suppose -9 = 3*u - 4*k, 5*u = k - 6*k - 50. Let j be x(u). Calculate the least common multiple of j/(-4)*(30 - 14) and 18. 72 Let v = 46941/5614 + -12/2807. Find the common denominator of 5/216 and v. 1512 Let r(q) = -4*q**3 - q**2 - q - 1. Suppose -9*m = -12*m + 9. Calculate the lowest common multiple of r(-1) and 0/3 + m + 7. 30 Let w = -26 + 42. Suppose s = 5*x + w, 2*s - 26 + 10 = 2*x. Calculate the least common multiple of s and 10. 30 Suppose -5*x = 5*o - 30, 3*x = o - 3*o + 19. Suppose 5*s - 78 = 2*c, 5*s + x*c = 4*c + 58. Calculate the least common multiple of s and 8. 56 Let b(y) = y**3 - 4*y**2 - y + 7. Let o be b(4). Let p be 3/(o + 16/(-6)). Let d = p + -3. What is the lowest common multiple of 22 and d? 66 Let o be 28814/(-8) + (6/1)/3. Let f = o + 3582. Calculate the common denominator of 25/6 and f. 12 Let h = 1/269 + -11034/1345. What is the common denominator of h and -83/16? 80 Let b = -51375 + 4623869/90. Find the common denominator of b and -73/9. 90 Let o = 48 + 12. What is the lowest common multiple of o and 30? 60 What is the least common multiple of 18 and 475/10 - 2/(-4)? 144 Calculate the least common multiple of 14 and ((-980)/15)/(8/(-12)). 98 Find the common denominator of -26/63 and (-2313)/2268 + 1 + 12/16. 63 Find the common denominator of 42 + -47 - 94/6 and (1 - 21/27)*-22. 9 Let f = 16 + -22. What is the common denominator of ((-1)/(-28))/((-2)/356) and (-657)/(-24)
{ "pile_set_name": "DM Mathematics" }
4 Expand (0*c**3 + 2*c**4 + 0*c**3 + (0 + 0 + c)*(2*c - 2*c + c**3) + 3*c**4 - c**4 - 4*c**4 - 2*c**4 - 3 + 3)*(3 + 2 - 2)*(c - 4*c + c). 6*c**5 Expand (5*h**4 - 4*h**4 - 2*h**4)*(1 - h - 1). h**5 Expand (-8 + 2 - 3*u + 4)*(3*u**2 - 3*u**2 + 2*u**3). -6*u**4 - 4*u**3 Expand (0 - 1 + 0)*(16 - 2*t - 17 - 44). 2*t + 45 Expand (-5 + 5 - 2*o**2)*(1 - 2 + 7). -12*o**2 Expand (-2 - 35*j**3 + 34*j**3 + 0)*(-2 - 3 + 4)*(-2 + 0 + 3). j**3 + 2 Expand (q + 0 + 0)*(0*q**2 + 3*q**2 - 2*q**2) + (3*q**2 - 3*q**2 + 2*q**2)*(0*q - q - q) + 3*q**3 + q**3 - 6*q**3. -5*q**3 Expand 2*p**2 - p**2 + 0*p**2 + (-4*p + p + 4*p)*(-5*p + 4*p + 4*p) - 7*p - 2 + p**2 + 7*p. 5*p**2 - 2 Expand 2 - 2 - c + 0*c + 0*c - c + 3 - 3 + c - 4*c + 0*c + 3*c - 4*c - c + 4*c + (2*c - 3*c + 0*c)*(-5 + 5 + 2). -5*c Expand ((2 - 4 + 1)*(-1 + 1 - 1) + 5 + 0 - 3)*(-v + 7 - 4 - 2). -3*v + 3 Expand (-4*n**4 + 4*n**4 - n**4)*(2*n + 0*n - n) - 102 + 102 + 18*n**5. 17*n**5 Expand (2*j - 3*j - j)*(-2*j**4 + 114 - 112 - j**4). 6*j**5 - 4*j Expand -2*w**5 + 2*w**5 + 2*w**5 + w**3 + (4 - 2 - 3)*(-16*w**2 + 5*w**5 + 16*w**2). -3*w**5 + w**3 Expand -1 - 1 - 2*q**2 + 0 + 6*q**2 - q**2 - 4*q**2 + (2*q - 2*q - 2*q)*(0*q + 0*q + 2*q) - q**2 - q**2 + q**2. -6*q**2 - 2 Expand (0*i + 0*i - i)*(3*i - 3*i + 2*i) - 4*i + 4*i + i**2 + (-i**2 - 3*i**2 + 3*i**2)*(0 - 1 - 1) + 2 - 3*i**2 - 2. -2*i**2 Expand (-1 + 4 - 1 + (5 + 2 - 4)*(-1 + 2 + 0))*(-34 + 34 - 3*u). -15*u Expand (-d - d - d)*(4 - 4 - d) + (d - d - 2*d**2)*(-5 + 11 + 4) - 3 + 3 - 2*d**2 + (0 + 0 - 2*d)*(-5*d + 4*d + 3*d). -23*d**2 Expand (-3*g**3 + 0*g**3 + g**3)*(3*g**2 - 4*g**2 + 2*g**2) + 4*g**4 - 3*g**5 - 4*g**4. -5*g**5 Expand v**4 - 3*v**4 + 3*v**4 + (-2*v + 0*v + 3*v)*((1 + 0 + 0)*(-v**2 + v**2 - v**3) + 4*v**3 - 4*v**3 - 3*v**3). -3*v**4 Expand (2*t**5 - 4*t**5 + 6*t**5)*((4 - 1 - 1)*(2 + 2 - 2) + 1 + 2 - 5). 8*t**5 Expand (4*t**3 - 2*t**3 - 4*t**3)*(-2*t**2 + 6*t**2 - 2*t**2). -4*t**5 Expand -c + 3*c**2 + 4*c - c**2 + 1 - 2*c**2 - 1 + (-1 + 4 - 1)*(-2*c**2 + c**2 - c**2). -4*c**2 + 3*c Expand (2 - 3 + 3)*(-6*a + a - 3*a)*(-5 + 3 + 1). 16*a Expand (3 - 2 - 2)*(a**2 - 4*a + 4*a) + (-7*a + 3*a + 2*a)*(3 + a - 3). -3*a**2 Expand (-k + 4*k - k)*(k - 2*k + 2*k) + (-4 - 2 + 4)*(-6*k**2 + 3*k**2 + 0*k**2). 8*k**2 Expand (11*r + 4*r**2 - 11*r)*(r**2 + 5 - 5)*(-4 + 0 + 1 + (-3 + 3 - 1)*(4 + 1 - 4) - 5 + 2 + 1). -24*r**4 Expand (0 + 0 + 2*i)*(4 - 4 - 2) + 2*i - 2*i + 2*i + (-5*i + 2*i + i)*(0 - 1 - 1) + i + 4 - 4 + 2*i - 2*i - 2*i - 2*i + 14*i + i. 14*i Expand (-13*k + 7*k**2 + 13*k)*(-5*k + 5*k - k) + (k - k - k)*(-2*k**2 + 6*k**2 - 3*k**2) + 0*k**3 + k**3 - 3*k**3. -10*k**3 Expand 0*f**2 + 0*f**2 + 2 + f**2 + (-3*f + 3*f + 2*f)*(-f - 3*f + 2*f) + 4 - 4 + 2*f**2. -f**2 + 2 Expand (-1 + b + 1)*(b - 2*b + 0*b) - 11*b**2 - 8*b + 8*b. -12*b**2 Expand (2 - 2 + x)*(0*x**2 + 2*x**2 - x**2)*(5*x**2 - 3*x**2 + 4*x**2). 6*x**5 Expand (-4*y + 2*y + 3*y)*(4 - 3 + 1 + (-3 + 3 - 2)*(0 - 1 - 1))*(-4 + 2 + 0). -12*y Expand (-4*r**4 + 0*r**4 + 2*r**4)*(-6 + 2 + 5)*(-4 - 1 + 3). 4*r**4 Expand (2*o + 0*o + 0*o)*(1 + 0 - 3) - o + 2*o + 0*o - 4*o + 3*o + 0*o + (-3*o - o + 2*o)*(1 - 4 + 1) + 5*o - 2*o - 2*o. o Expand q**2 - 4*q**2 + 2*q**2 + 4*q**4 + (-q**3 - q**3 + 0*q**3)*(3*q - 5*q + 3*q) + 0*q**3 + q**4 + 0*q**3 + (2*q - 2*q + q)*(q**3 + 3*q**3 - 3*q**3). 4*q**4 - q**2 Expand (u - 6*u - 3*u)*(-3*u**2 + 3*u**2 + 2*u**3) + u**2 - u**2 + 2*u**4 + u**3. -14*u**4 + u**3 Expand (3 - 3 - 2)*(-o**3 + 9*o**2 - 13*o**2 + 13*o**2). 2*o**3 - 18*o**2 Expand -3*l**2 - l**5 + 3*l**2 + (2*l**3 - 2*l**3 + l**4)*(4*l - 5*l + 3*l) + 3*l**4 + l**5 - 3*l**4 + 6*l**3 - 3*l**5 - 6*l**3. -l**5 Expand 0*z - 5*z + 0*z + (3 + 0 - 1)*(-2 - 3 + 3 - z). -7*z - 4 Expand 10*k**4 + 314 - 314 + 3*k**4 + 0*k**2 + 0*k**2 + 0*k**4 + 2*k**4 - k**4 + (-3*k**3 - 3*k**3 + 4*k**3)*(-k - 3*k + 3*k) - 4*k**4 + k**4 + 4*k**4. 17*k**4 Expand ((-3*l - 6 + 6)*(-3*l + l + l) - 5 + 5 - 2*l**2)*(l - 7*l + 3*l). -3*l**3 Expand -3*q**3 - q**3 + 2*q**3 + (0 + 5 + 5)*(0*q**3 + q**3 - 3*q**3). -22*q**3 Expand (-1 - 2 + 2)*(0*n + n + 0*n)*(0 - 2*n + 0)*(2*n**3 + 3*n**3 - 2*n**3). 6*n**5 Expand (-1 + 2 + 1)*(1 + 2*p**2 - 1) - 3*p**2 + 5*p**2 - 3*p**2 + (3*p**2 + 0*p**2 - 5*p**2)*(3 - 5 + 3) + 3*p**2 + 3*p**2 - 8*p**2 - 2*p**2 - 32*p + 32*p. -3*p**2 Expand (-w**3 + w**3 - 5*w**3 + (5*w**2 - 2*w**2 - w**2)*(2*w + 2*w - 2*w))*(0*w + 3*w - 4*w). w**4 Expand (1 - 1 - m)*(1 - 1 + m) + 80*m**2 - 2*m**2 + 10*m**2. 87*m**2 Expand (-2*q**2 - 2*q**2 + 3*q**2)*(378 - 52*q**2 - 378). 52*q**4 Expand (1 - 2 + 0)*(-5*w**2 + w**2 + 2*w**2) + 3*w**2 - 2*w**2 + w**2 - 4*w**2 - 2*w**2 + 3*w**2 + (-w + 1 - 1)*(5*w - 5*w + 3*w) - w**2 + 3*w**2 - 4*w**2. -4*w**2 Expand (0*a**3 + 2*a**3 - a**3)*(-2 - a + 2) + 4*a**4 - 2*a**4 - 3*a**4 + 3*a**4 + 8*a**3 - 7*a**4 - 6*a**3. -6*a**4 + 2*a**3 Expand (-d - 2 + 2)*(2 - 2 + 2) + (1 + 0 - 8)*(-2*d + 3*d + 5*d). -44*d Expand -7*h - 2*h**2 + 5*h - 6*h + (-3 - 4 + 2)*(0 + 0 - 2*h**2). 8*h**2 - 8*h Expand 2*m**3 - 4*m**5 - 5*m**3 + 14*m**5 - m**5 - 3*m**3 + 3*m**3 + (1 + 2*m**3 - 1)*(m - m - 2*m**2). 5*m**5 - 3*m**3 Expand -4*t**2 + 1 - 1 + (-2 + 2 + 2*t)*(-3 - 5 + 9 - 15*t). -34*t**2 + 2*t Expand (3*z + 3*z - 4*z)*(-10 + 0 + 2). -16*z Expand (2*c**3 + 0*c**3 - c**3 + (0*c**2 - c**2 - c**2)*(-5*c + 2*c + c) - 3*c**3 - 3*c**3 + 5*c**3)*(-7*c**2 - 2*c**2 + 0*c**2). -36*c**5 Expand (i**2 - 5*i**2 + 2*i**2)*(32*i + 27*i - 23*i - 3). -72*i**3 + 6*i**2 Expand (-2*j**3 + 2 - 2)*((-j - 4*j + 3*j)*(-1 + 1 - 1) + 0 + 0 + j + j + 4*j + 0*j + 0*j + 0*j - j). -14*j**4 Expand (3 + 2*l - 3)*(4 + 1 - 4)*(-2*l + 3*l**2 + 2*l + 3*l - l**2 - 3*l - 3*l**2 - l**2 + 3*l**2 + (-5*l + l + 2*l)*(0*l + l + l) - 3*l**2 + l**2 + 4*l**2). -2*l**3 Expand (18*l**2 - 507 + 507)*(-3*l**2 - l**2 + 2*l**2)*(-4*l + l + l) - l**4 + l**4 - 2*l**5. 70*l**5 Expand (0 + 2*m**3 + 0)*(1 - 9 + 3). -10*m**3 Expand 4 - 2*i - 4 + (-5 + 4 - 1)*(-2*i + 0*i + 4*i) - 2*i + i - i - 1 + 1 - i + i + 3 - 5*i - 5. -13*i - 2 Expand -n**5 + 4*n**5 - n**5 + (0*n**2 + 0*n**2 - 2*n**4)*(0 + 0 - 2*n) + (-n + n - 4*n**4)*(2 - n - 2) - n**5 + 5*n**5 - 3*n**5. 11*n**5 Expand -3 + b**2 + 3 + (4*b**2 - b**2 - 4*b**2)*(5 - 4 + 7 - 2 + 3 - 3 + (1 + 0 + 1)*(1 - 1 + 1) + 0 + 2 + 0). -9*b**2 Expand (c**4 + 2*c**5 - c**4)*(2 - 1 - 3) + (-2*c**3 - 14*c**3 + 6*c**3)*(-c**2 + 4*c**2 - 2*c**2). -14*c**5 Expand r + 0*r + r + (-3 + 1 + 1)*(-r + 0*r + 0*r) + (2 - 4 + 3)*(-5 + 3 + 3)*(-4 + 4 + r). 4*r Expand (0*r**3 + 0*r**3 - r**5)*(3 - 1 + 0) - r**5 - 4*r**5 + 4*r**5 + (r**2 + 0*r**2 - 2*r**2)*(-4 - 2*r**3 + 4) + r**3 - r**3 - 3*r**5. -4*r**5 Expand (-6*v**3 - 17*v**3 - v**3)*(-2*v + v + 2*v)*(2 - 6 + 2). 48*v**4 Expand (2*y + 0*y + y)*(-2*y + 3*y + 0*y) - 4*y**2 + 3*y**2 - y**2 + (-3 + y + 3)*(y + 3 + 2*y + 0*y). 4*y**2 + 3*y Expand (-1 - 2 - 1)*(0*v + v - 3*v) + 0 + v + 0 + 14*v - 17 + 17. 23*v Expand (v**2 - v**2 + v**2)*(0 + 1 - 3) + 2 - 2 - v**2. -3*v**2 Expand (1 - 1 - 2)*(-2*a + 2*a + 4*a) + (-1 + 1 - 1)*(3*a - a - a). -9*a Expand (2 - 6*t**3 - 2)*(3*t**2 - 2*t**2 - 2*t**2). 6*t**5 Expand (7*p - 7*p - 8*p**4)*(-4 + 3 - 1)*(0 - 3 + 1). -32*p**4 Expand (-a**4 + a**4 + a**4)*(-a - a - 2*a) + (-2 + 3 - 2)*(8*a**5 - 3*a**5 - a**5). -8*a**5 Expand (3*i - 3*i + 2*i)*(-3 - 1 + 1)*(-27*i**4 + 5*i**4 - 4*i**4). 156*i**5 Expand 3*m - 3*m - 8*m + (0 + 0 + 1)*(m + 0*m + m). -6*m Expand 2*t**3 - t + t + (-2 + 3 - 3)*(-2*t**3 + 3*t**3 - 2*t**3) - 8*t**3 + 5*t - 2*t - 4*t. -4*t**3 - t Expand ((8*b**3 - 10*b + 10*b)*(0*b**2 - 3*b**2 + 0*b**2) + (-3 + 2*b**4 + 3)*(b - 1 + 1))*(-3 + 4 - 3). 44*b**5 Expand (2*h - 2 + 2)*(-8*h**2 + 3*h**2 + 3*h**2)*(-3 + h**2 + 3). -4*h**5 Expand 3*g**5 - 2*g**5 + 0*g**5 + (-1 + 1 + 2*g**4)*(5*g - 3*g - g) + 15*g**5 - 69*g + 69*g - 4*g**2 - g**5 + 4*g**2. 17*g**5 Expand (3*c**2 - 2*c**3 + 3*c**2 - 8*c**2)*(5 - 2 - 4). 2*c**3 + 2*c**2 Expand (0*o - 4*o + 2*o)*(-41 + 40 + 5*o - o). -8*o**2 + 2*o Expand (0*i**2 + i + i**2 + i)*(8 - 8 + 2*i + (3*i + i - 3*i)*(2 + 4 - 4)). 4*i**3 + 8*i**2 Expand (-2*y - 3 + 3)*(4 + 2 - 1) + 2*y + 2*y - 3*y + 1 - y - 1. -10*y Expand (2 - 4 - 1 + (3 - 2 + 0)*(2 - 3 + 0) + 0 - 2 + 0)*(-3 + v + 3). -6*v Expand (10*i**3 - 10*i**3 + 6*i**4)*(i + 3*i - 3*i)*(0 + 0 + 3). 18*i**5 Expand (4*u + 8 + 4*u - 5*u)*(-u**2 - u**3 + u**2). -3*u**4 - 8*u**3
{ "pile_set_name": "DM Mathematics" }
2, 810194, 810196, 810198? 810200 What is next in 85687, 171123, 256559, 341995? 427431 What is next in -1101, -1935, -2413, -2529, -2277, -1651, -645, 747? 2531 What is next in 9515, 19340, 29215, 39152, 49163, 59260, 69455, 79760? 90187 What is the next term in 3080, 6564, 10046, 13520, 16980, 20420, 23834, 27216? 30560 What is next in -86, -495, -1164, -2093, -3282, -4731? -6440 What is next in 2395, 10476, 23945, 42802, 67047, 96680? 131701 What is the next term in -61208, -60879, -60562, -60257, -59964, -59683, -59414? -59157 What is next in 16540, 27215, 37890, 48565, 59240? 69915 What comes next: 1879, 3601, 5171, 6589, 7855, 8969, 9931? 10741 What is next in -449, 4006, 21997, 62170, 133171, 243646? 402241 What is the next term in 26216, 26110, 26004, 25898? 25792 What is the next term in 775948, 1551666, 2327384, 3103102? 3878820 What comes next: 151555, 303115, 454679, 606259, 757867, 909515, 1061215, 1212979? 1364819 What is next in -16364, -65452, -147264, -261800, -409060, -589044, -801752? 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-33139344 What is the next term in -27675, -54284, -80893, -107502, -134111? -160720 What is the next term in -25364, -24958, -24552, -24146, -23740, -23334? -22928 What comes next: 28631, 229207, 773667, 1833953, 3582007, 6189771, 9829187? 14672197 What comes next: 4429, 2218, -1455, -6578, -13139, -21126, -30527, -41330? -53523 What is next in -7388, -26564, -57514, -100238, -154736? -221008 What is the next term in 117420, 234865, 352310? 469755 What is next in -470, -1045, -1756, -2615, -3634, -4825? -6200 What is the next term in -9398, -18756, -28056, -37298, -46482, -55608, -64676? -73686 What is next in -1855936, -1855937, -1855940, -1855945, -1855952, -1855961, -1855972? -1855985 What is the next term in 198132, 396261, 594378, 792477, 990552, 1188597, 1386606? 1584573 What is the next term in -15895314, -15895296, -15895266, -15895224, -15895170, -15895104? -15895026 What is next in 2599, 8694, 14789, 20884? 26979 What is next in 7064, 14101, 21106, 28079? 35020 What is next in 18085777, 18085768, 18085759, 18085750, 18085741? 18085732 What is the next term in 30153, 60505, 91055, 121803, 152749, 183893, 215235? 246775 What is next in 47991, 48009, 48041, 48087, 48147, 48221? 48309 What comes next: 2275, 2991, 2125, -323, -4353? -9965 What comes next: 804, 2183, 4080, 6489, 9404, 12819? 16728 What is the next term in 464401, 928859, 1393317, 1857775? 2322233 What is next in -137, -1640, -4151, -7670, -12197, -17732, -24275? -31826 What is next in -580699, -1161086, -1741473, -2321860? -2902247 What comes next: -394277, -788554, -1182831? -1577108 What comes next: -65966, -125773, -185562, -245327, -305062? -364761 What comes next: -17075164, -17075162, -17075160? -17075158 What is the next term in -4937, -4804, -4639, -4442, -4213, -3952? -3659 What is next in -17429, -18043, -19063, -20489, -22321, -24559? -27203 What is next in -43931, -42294, -39559, -35720, -30771, -24706, -17519, -9204? 245 What is the next term in 1859, 15468, 52583, 124958, 244347, 422504, 671183, 1002138? 1427123 What is the next term in -10466, -21016, -31566, -42116? -52666 What is the next term in -72, -1078, -3954, -9636, -19060, -33162, -52878? -79144 What is next in 20173, 19024, 17845, 16630, 15373? 14068 What is next in -32789, -32775, -32761, -32747, -32733, -32719? -32705 What is next in -704102, -704123, -704146, -704171, -704198, -704227, -704258? -704291 What is the next term in -36282, -45372, -54440, -63474, -72462, -81392, -90252? -99030 What is the next term in 3761, 9782, 19835, 33926, 52061? 74246 What comes next: 633, 1653, 3347, 5721, 8781, 12533, 16983? 22137 What is next in 135203128, 270406255, 405609382, 540812509, 676015636? 811218763 What is next in -3078, -6881, -11434, -16743, -22814, -29653? -37266 What comes next: 69985, 140313, 210633, 280945? 351249 What comes next: -1404891, -1404892, -1404893, -1404894? -1404895 What is the next term in -7309678, -7309674, -7309670, -7309666? -7309662 What is the next term in -47614, -47620, -47666, -47782, -47998? -48344 What is the next term in -1335449, -1335452, -1335455, -1335458, -1335461? -1335464 What comes next: 5696, 5818, 6156, 6818, 7912, 9546, 11828? 14866 What is next in -1815, -18019, -45027, -82839, -131455, -190875, -261099? -342127 What is next in 464, 963, 1456, 1949, 2448, 2959? 3488 What is the next term in 572376167, 572376164, 572376161? 572376158 What comes next: -117324, -469588, -1056694, -1878642, -2935432, -4227064? -5753538 What is next in 5211470, 5211471, 5211472, 5211473, 5211474, 5211475? 5211476 What comes next: -71683, -143357, -215017, -286663, -358295? -429913 What comes next: 868949, 1737905, 2606861, 3475817, 4344773? 5213729 What is next in 13202, 26357, 39514, 52673, 65834? 78997 What is the next term in -2912, -4072, -5222, -6356, -7468? -8552 What comes next: -2013807, -2013808, -2013809, -2013810, -2013811? -2013812 What comes next: -80769, -79329, -76931, -73575? -69261 What is next in -100, -558, -1816, -4282, -8364, -14470, -23008? -34386 What is the next term in -6510389, -13020776, -19531163, -26041550, -32551937, -39062324? -45572711 What is next in -24039, -95790, -215355, -382734, -597927? -860934 What comes next: -6002, -19668, -41000, -69998, -106662, -150992, -202988? -262650 What is next in -11917793, -23835570, -35753347? -47671124 What comes next: -688, -1529, -2932, -4897? -7424 What comes next: -332113, -332108, -332093, -332062, -332009, -331928? -331813 What comes next: -78049, -78018, -77987, -77956, -77925, -77894? -77863 What is the next term in -182, -1934, -6706, -16016, -31382? -54322 What comes next: 205304, 410616, 615928? 821240 What comes next: 15707820, 15707818, 15707816, 15707814? 15707812 What is next in 256, -317, -1824, -4715, -9440, -16449? -26192 What comes next: -8077, -15117, -22109, -29029, -35853, -42557, -49117, -55509? -61709 What comes next: -27158, -26419, -25680, -24941, -24202, -23463? -22724 What is the next term in -969, 1598, 4163, 6726, 9287? 11846 What comes next: 2738440, 5476997, 8215554, 10954111, 13692668, 16431225? 19169782 What is the next term in 1591, 1666, 1787, 1948, 2143? 2366 What is the next term in -684, -2587, -5360, -8679, -12220, -15659? -18672 What comes next: -12386, -12646, -12910, -13178, -13450, -13726, -14006? -14290 What is next in 181887662, 181887655, 181887648, 181887641? 181887634 What is next in -10384, -41502, -93360, -165952, -259272? -373314 What is the next term in -8980417, -17960833, -26941247, -35921659, -44902069, -53882477? -62862883 What comes next: 466963328, 466963326, 466963324? 466963322 What is next in -8765682, -8765709, -8765750, -8765805, -8765874, -8765957? -8766054 What comes next: -506, -1394, -2822, -4748, -7130, -9926? -13094 What comes next: -72, -2537, -6656, -12429, -19856? -28937 What is the next term in 3365765, 6731537, 10097309, 13463081, 16828853, 20194625? 23560397 What is next in -1405, -1812, -2497, -3598, -5253, -7600? -10777 What is the next term in -4407, -17347, -38979, -69297, -108295, -155967, -212307, -277309? -350967 What comes next: -14157, -28276, -42403, -56538? -70681 What is next in -21909, -40789, -5
{ "pile_set_name": "DM Mathematics" }
*l - 10 What is the x'th term of -457, -459, -461, -463, -465? -2*x - 455 What is the r'th term of -6141, -6145, -6151, -6159? -r**2 - r - 6139 What is the u'th term of 68, 69, 68, 65, 60, 53? -u**2 + 4*u + 65 What is the y'th term of 34, 51, 70, 97, 138, 199, 286? y**3 - 5*y**2 + 25*y + 13 What is the s'th term of 1992, 3983, 5970, 7953, 9932, 11907, 13878? -2*s**2 + 1997*s - 3 What is the d'th term of -529, -526, -515, -490, -445? d**3 - 2*d**2 + 2*d - 530 What is the c'th term of -19191, -19190, -19189? c - 19192 What is the m'th term of -5, 15, 61, 145, 279, 475? 2*m**3 + m**2 + 3*m - 11 What is the c'th term of -244, -486, -728, -970? -242*c - 2 What is the b'th term of -20, -13, -2, 13? 2*b**2 + b - 23 What is the q'th term of 40, 86, 132, 178? 46*q - 6 What is the d'th term of 55, 114, 171, 226? -d**2 + 62*d - 6 What is the y'th term of -35, -56, -79, -104, -131? -y**2 - 18*y - 16 What is the a'th term of -783, -784, -785, -786, -787, -788? -a - 782 What is the x'th term of 211, 209, 207? -2*x + 213 What is the q'th term of -106, -106, -108, -112, -118, -126, -136? -q**2 + 3*q - 108 What is the f'th term of -8, -34, -80, -146? -10*f**2 + 4*f - 2 What is the y'th term of -448, -454, -464, -478, -496, -518? -2*y**2 - 446 What is the m'th term of 102, 101, 102, 105, 110? m**2 - 4*m + 105 What is the q'th term of -103, -104, -107, -112, -119? -q**2 + 2*q - 104 What is the p'th term of -17, 15, 97, 229, 411, 643, 925? 25*p**2 - 43*p + 1 What is the g'th term of -11, -24, -37? -13*g + 2 What is the z'th term of -91, -85, -75, -61? 2*z**2 - 93 What is the s'th term of 81, 151, 261, 417, 625, 891, 1221, 1621? s**3 + 14*s**2 + 21*s + 45 What is the f'th term of 484, 482, 480? -2*f + 486 What is the t'th term of -32, -41, -50, -59, -68, -77? -9*t - 23 What is the h'th term of -1286, -1290, -1290, -1280, -1254, -1206, -1130, -1020? h**3 - 4*h**2 + h - 1284 What is the x'th term of 2140, 2135, 2130, 2125, 2120, 2115? -5*x + 2145 What is the v'th term of -72, -73, -66, -45, -4? v**3 - 2*v**2 - 2*v - 69 What is the j'th term of -1000, -985, -970, -955? 15*j - 1015 What is the o'th term of -198, -398, -598? -200*o + 2 What is the j'th term of -4, -18, -40, -70, -108, -154, -208? -4*j**2 - 2*j + 2 What is the w'th term of 33, 43, 59, 81, 109, 143, 183? 3*w**2 + w + 29 What is the j'th term of -316, -322, -338, -370, -424, -506, -622? -j**3 + j**2 - 2*j - 314 What is the m'th term of 1085, 1092, 1109, 1142, 1197, 1280, 1397? m**3 - m**2 + 3*m + 1082 What is the s'th term of -31162, -31160, -31158? 2*s - 31164 What is the w'th term of 61, 119, 177, 235, 293, 351? 58*w + 3 What is the w'th term of -362, -723, -1084, -1445, -1806, -2167? -361*w - 1 What is the v'th term of -224, -438, -654, -872, -1092? -v**2 - 211*v - 12 What is the i'th term of -356, -350, -350, -356, -368? -3*i**2 + 15*i - 368 What is the d'th term of -22, -121, -276, -481, -730, -1017, -1336? d**3 - 34*d**2 - 4*d + 15 What is the w'th term of -35, 16, 139, 370, 745, 1300, 2071? 6*w**3 + 9*w - 50 What is the o'th term of -10, -48, -112, -202? -13*o**2 + o + 2 What is the l'th term of -13, -25, -43, -67? -3*l**2 - 3*l - 7 What is the o'th term of -29, -41, -59, -83, -113, -149? -3*o**2 - 3*o - 23 What is the x'th term of 562, 1124, 1672, 2200, 2702, 3172, 3604, 3992? -x**3 - x**2 + 572*x - 8 What is the k'th term of -52, -90, -118, -136, -144? 5*k**2 - 53*k - 4 What is the j'th term of -1102, -2208, -3314, -4420? -1106*j + 4 What is the x'th term of 5716, 5711, 5704, 5695, 5684, 5671? -x**2 - 2*x + 5719 What is the a'th term of 6846, 6848, 6850, 6852, 6854? 2*a + 6844 What is the l'th term of -1095, -1096, -1097, -1098, -1099? -l - 1094 What is the y'th term of 281, 563, 845? 282*y - 1 What is the w'th term of -695, -1391, -2085, -2777, -3467? w**2 - 699*w + 3 What is the t'th term of -61, -223, -493, -871, -1357, -1951, -2653? -54*t**2 - 7 What is the r'th term of 457, 461, 475, 505, 557, 637, 751, 905? r**3 - r**2 + 457 What is the k'th term of -2544, -5087, -7630? -2543*k - 1 What is the b'th term of -23, -45, -99, -203, -375, -633, -995, -1479? -3*b**3 + 2*b**2 - 7*b - 15 What is the y'th term of 22, 108, 340, 790, 1530, 2632, 4168? 12*y**3 + y**2 - y + 10 What is the j'th term of 33, 9, -29, -81, -147? -7*j**2 - 3*j + 43 What is the a'th term of -10, -5, 0, 5? 5*a - 15 What is the t'th term of 87, 85, 83, 81? -2*t + 89 What is the q'th term of -38, -78, -118? -40*q + 2 What is the n'th term of 22, 57, 106, 169, 246, 337? 7*n**2 + 14*n + 1 What is the k'th term of 10, 28, 70, 148, 274, 460, 718? 2*k**3 + 4*k + 4 What is the o'th term of 25, 55, 95, 145? 5*o**2 + 15*o + 5 What is the c'th term of -7, -16, -39, -82, -151, -252, -391? -c**3 - c**2 + c - 6 What is the f'th term of -6, 1, 18, 51, 106, 189, 306? f**3 - f**2 + 3*f - 9 What is the m'th term of 1797, 3591, 5385? 1794*m + 3 What is the y'th term of -136, -140, -144, -148? -4*y - 132 What is the g'th term of -54, -83, -136, -219, -338, -499? -g**3 - 6*g**2 - 4*g - 43 What is the q'th term of -199, -375, -551, -727, -903, -1079? -176*q - 23 What is the j'th term of 430, 451, 472, 493? 21*j + 409 What is the g'th term of 140, 276, 410, 542, 672, 800? -g**2 + 139*g + 2 What is the d'th term of -5724, -5723, -5722, -5721? d - 5725 What is the k'th term of 11, 49, 101, 161, 223, 281? -k**3 + 13*k**2 + 6*k - 7 What is the b'th term of -4421, -4420, -4419, -4418, -4417, -4416? b - 4422 What is the x'th term of 8032, 16067, 24102, 32137, 40172, 48207? 8035*x - 3 What is the b'th term of 179586, 179582, 179576, 179568, 179558, 179546, 179532? -b**2 - b + 179588 What is the c'th term of -169, -163, -157? 6*c - 175 What is the d'th term of -1551, -3102, -4653, -6204, -7755? -1551*d What is the c'th term of 14, 103, 192, 281, 370? 89*c - 75 What is the m'th term of -185, -675, -2005, -4595, -8865? -70*m**3 - 115 What is the y'th term of -103, -237, -409, -619, -867, -1153? -19*y**2 - 77*y - 7 What is the p'th term of -341, -681, -1023, -1367, -1713, -2061? -p**2 - 337*p - 3 What is the q'th term of -83, -73, -57, -35, -7? 3*q**2 + q - 87 What is the t'th term of 60, 118, 174, 228, 280, 330? -t**2 + 61*t What is the k'th term of -12, -27, -50, -81, -120, -167, -222? -4*k**2 - 3*k - 5 What is the w'th term of 321, 640, 961, 1284? w**2 + 316*w + 4 What is the d'th term of 1043, 1044, 1045, 1046? d + 1042 What is the z'th term of -16105, -32210, -48315, -64420? -16105*z What is the z'th term of -51, -65, -79, -93? -14*z - 37 What is the t'th term of 48, 184, 408, 720, 1120, 1608, 2184? 44*t**2 + 4*t What is the j'th term of 60, 56, 36, -6, -76, -180, -324, -514? -j**3 - 2*j**2 + 9*j + 54 What is the u'th term of 463, 872, 1283, 1696? u**2 + 406*u + 56 What is the p'th term of 1306, 2604, 3902? 1298*p + 8 What is the m'th term of -63, -64, -65, -66, -67? -m - 62 What is the p'th term of 1651, 3289, 4927, 6565, 8203? 1638*p + 13 What is the d'th term of 8, 45, 82, 119, 156, 193? 37*d - 29 What is the r'th term of -179, -179, -181, -185, -191, -199? -r**2 + 3*r - 181 What is the l'th term of 211, 1349, 4433, 10435, 20327, 35081? 162*l**3 + l**2 + l + 47 What is the z'th term of -50, -25, 22, 97, 206, 355? z**3 + 5*z**2 + 3*z - 59 What is the v'th term of -660, -1321, -1982, -2643, -3304, -3965? -661*v + 1 What is the u'th term of -562, -566, -580, -610, -662, -742, -856? -u**3 + u**2 - 562 What is the h'th term of 58, 101, 144, 187, 230? 43*h + 15 What is the r'th term of 549, 536, 521, 504, 485? -r**2 - 10*r + 560 What is the u'th term of -624, -2493, -5608, -9969, -15576, -22429, -30528? -623*u**2 - 1 What is the p'th term of -2552, -5120, -7702, -10304, -12932, -15592? -p**3 - p**2 - 2558*p + 8 What is the v'th term of 2, 21, 28, 17, -18? -v**3 + 26*v - 23 What is the h'th term of -25248, -25247, -25246? h - 25249 What is the k'th term of -138, -183, -228? -45*k - 93 What is the o'th term of -92, -185, -278, -371? -93*o + 1 What is the c'th term of 193, 196, 199, 202, 205? 3*c + 190 What is the m'th term of -6, -34, -88, -168, -274, -406, -564? -13*m**2 + 11*m - 4 What is the u'th term of -833, -3341, -7521, -13373, -20897? -836*u**2 + 3 What is the f'th term of 28468, 28470, 28472, 28474, 28476, 28478? 2*f + 28466 What is the k'th term o
{ "pile_set_name": "DM Mathematics" }
is the fifth root of 1686284 to the nearest integer? 18 What is 398629 to the power of 1/2, to the nearest integer? 631 What is the cube root of 3805665 to the nearest integer? 156 What is the cube root of 7723321 to the nearest integer? 198 What is the square root of 320752 to the nearest integer? 566 What is 5741377 to the power of 1/5, to the nearest integer? 22 What is 3342307 to the power of 1/2, to the nearest integer? 1828 What is the sixth root of 1191668 to the nearest integer? 10 What is the seventh root of 3018919 to the nearest integer? 8 What is 21079437 to the power of 1/10, to the nearest integer? 5 What is the third root of 1268026 to the nearest integer? 108 What is the ninth root of 71120 to the nearest integer? 3 What is the square root of 1841706 to the nearest integer? 1357 What is 1504993 to the power of 1/2, to the nearest integer? 1227 What is the square root of 407430 to the nearest integer? 638 What is the fifth root of 29914231 to the nearest integer? 31 What is the cube root of 2683189 to the nearest integer? 139 What is the square root of 271415 to the nearest integer? 521 What is 19981890 to the power of 1/2, to the nearest integer? 4470 What is the cube root of 21567272 to the nearest integer? 278 What is the tenth root of 328854 to the nearest integer? 4 What is 233586 to the power of 1/2, to the nearest integer? 483 What is the square root of 3920820 to the nearest integer? 1980 What is 19317059 to the power of 1/2, to the nearest integer? 4395 What is the third root of 1720518 to the nearest integer? 120 What is 3816046 to the power of 1/7, to the nearest integer? 9 What is 952309 to the power of 1/3, to the nearest integer? 98 What is 5001997 to the power of 1/5, to the nearest integer? 22 What is 16951470 to the power of 1/2, to the nearest integer? 4117 What is the third root of 1604794 to the nearest integer? 117 What is the cube root of 11248467 to the nearest integer? 224 What is 598226 to the power of 1/8, to the nearest integer? 5 What is 985543 to the power of 1/3, to the nearest integer? 100 What is the ninth root of 102073 to the nearest integer? 4 What is the cube root of 14130152 to the nearest integer? 242 What is the third root of 6935527 to the nearest integer? 191 What is 7428647 to the power of 1/2, to the nearest integer? 2726 What is 114310 to the power of 1/3, to the nearest integer? 49 What is the eighth root of 60561 to the nearest integer? 4 What is 865929 to the power of 1/8, to the nearest integer? 6 What is the third root of 2016715 to the nearest integer? 126 What is 155901 to the power of 1/5, to the nearest integer? 11 What is 9508754 to the power of 1/2, to the nearest integer? 3084 What is the square root of 1623761 to the nearest integer? 1274 What is 2150043 to the power of 1/4, to the nearest integer? 38 What is the cube root of 860172 to the nearest integer? 95 What is 2116746 to the power of 1/2, to the nearest integer? 1455 What is the sixth root of 22263895 to the nearest integer? 17 What is the seventh root of 265325 to the nearest integer? 6 What is 7497212 to the power of 1/6, to the nearest integer? 14 What is the square root of 1426217 to the nearest integer? 1194 What is the fifth root of 46980 to the nearest integer? 9 What is the ninth root of 485260 to the nearest integer? 4 What is the seventh root of 763844 to the nearest integer? 7 What is 191119 to the power of 1/7, to the nearest integer? 6 What is 2352348 to the power of 1/2, to the nearest integer? 1534 What is the third root of 997405 to the nearest integer? 100 What is the square root of 98076 to the nearest integer? 313 What is 5695536 to the power of 1/9, to the nearest integer? 6 What is the square root of 358801 to the nearest integer? 599 What is the square root of 4005190 to the nearest integer? 2001 What is the cube root of 978751 to the nearest integer? 99 What is 434229 to the power of 1/9, to the nearest integer? 4 What is the sixth root of 1547260 to the nearest integer? 11 What is 3837717 to the power of 1/3, to the nearest integer? 157 What is 153616 to the power of 1/6, to the nearest integer? 7 What is the fifth root of 159393 to the nearest integer? 11 What is 390057 to the power of 1/2, to the nearest integer? 625 What is 14748602 to the power of 1/6, to the nearest integer? 16 What is the third root of 2217334 to the nearest integer? 130 What is the square root of 82135 to the nearest integer? 287 What is the third root of 528538 to the nearest integer? 81 What is the fourth root of 303953 to the nearest integer? 23 What is 5128346 to the power of 1/3, to the nearest integer? 172 What is 27137859 to the power of 1/5, to the nearest integer? 31 What is 93607 to the power of 1/2, to the nearest integer? 306 What is 573136 to the power of 1/2, to the nearest integer? 757 What is 375120 to the power of 1/9, to the nearest integer? 4 What is 39791442 to the power of 1/8, to the nearest integer? 9 What is the ninth root of 42564545 to the nearest integer? 7 What is 6606403 to the power of 1/6, to the nearest integer? 14 What is 14148204 to the power of 1/10, to the nearest integer? 5 What is 245125 to the power of 1/2, to the nearest integer? 495 What is the third root of 17144944 to the nearest integer? 258 What is 16842728 to the power of 1/9, to the nearest integer? 6 What is the cube root of 21355697 to the nearest integer? 277 What is the fourth root of 334657 to the nearest integer? 24 What is 146021 to the power of 1/2, to the nearest integer? 382 What is the third root of 800737 to the nearest integer? 93 What is the sixth root of 87461 to the nearest integer? 7 What is the square root of 93977 to the nearest integer? 307 What is 400619 to the power of 1/7, to the nearest integer? 6 What is the third root of 5861637 to the nearest integer? 180 What is 150475 to the power of 1/4, to the nearest integer? 20 What is the square root of 2576395 to the nearest integer? 1605 What is 5638439 to the power of 1/3, to the nearest integer? 178 What is 188803 to the power of 1/3, to the nearest integer? 57 What is the sixth root of 6677106 to the nearest integer? 14 What is 239795 to the power of 1/9, to the nearest integer? 4 What is the square root of 2025345 to the nearest integer? 1423 What is the third root of 6898802 to the nearest integer? 190 What is the fifth root of 6081354 to the nearest integer? 23 What is 1157039 to the power of 1/3, to the nearest integer? 105 What is the square root of 1996095 to the nearest integer? 1413 What is the square root of 6537521 to the nearest integer? 2557 What is 1843685 to the power of 1/3, to the nearest integer? 123 What is 603519 to the power of 1/10, to the nearest integer? 4 What is 22191869 to the power of 1/3, to the nearest integer? 281 What is the square root of 36042176 to the nearest integer? 6004 What is the tenth root of 12069221 to the nearest integer? 5 What is the square root of 4028844 to the nearest integer? 2007 What is 201360 to the power of 1/8, to the nearest integer? 5 What is the sixth root of 262751 to the nearest integer? 8 What is 4299267 to the power of 1/2, to the nearest integer? 2073 What is the seventh root of 49159 to the nearest integer? 5 What is the square root of 60403 to the nearest integer? 246 What is the fifth root of 756073 to the nearest integer? 15 What is the ninth root of 27785 to the nearest integer? 3 What is the cube root of 333192 to the nearest integer? 69 What is 17256131 to the power of 1/3, to the nearest integer? 258 What is 4641260 to the power of 1/2, to the nearest integer? 2154 What is the tenth root of 2171844 to the nearest integer? 4 What is 2842311 to the power of 1/7, to the nearest integer? 8 What is the tenth root of 740128 to the nearest integer? 4 What is 939032 to the power of 1/6, to the nearest integer? 10 What is 925254 to the power of 1/4, to the nearest integer? 31 What is the square root of 4381946 to the nearest integer? 2093 What is the cube root of 299979 to the nearest integer? 67 What is 266522 to the power of 1/5, to the nearest integer? 12 What is the square root of 1759249 to the nearest integer? 1326 What is the square root of 263895 to the nearest integer? 514 Wh
{ "pile_set_name": "DM Mathematics" }
orm d*q + h + y*q**4 + c*q**3 + u*q**2 and give h. 0 Express (9*o**3 - 20*o**3 - 9*o**3)*(2 + 0 + 5) as p + w*o**2 + h*o + i*o**3 and give i. -140 Rearrange 21 - 2*b - 6*b**3 - 23 + 7*b**3 to the form y*b**2 + d + o*b**3 + f*b and give f. -2 Rearrange (-4*m**2 - m**2 + m**2)*(-1 - 5 - 4*m + 4) to g*m + f*m**2 + q + s*m**3 and give f. 8 Rearrange ((1 + 0 + 1)*(5 - 4 + 0) - 2 + 5 - 5 - 7 + 0 - 3)*(2*u**3 - 3 + 3) to the form d*u**2 + h*u + s*u**3 + c and give s. -20 Rearrange -4*g**3 + 0*g + g - 2*g to the form w*g + z*g**3 + a*g**2 + v and give v. 0 Express -b**3 + 4*b**3 + 10 - 4*b**3 + 4 as c + t*b + i*b**3 + d*b**2 and give i. -1 Express (4 + 0 + 1)*(d - 6*d + 2*d)*(d**2 - 3*d + 3*d) + 0*d**2 - 2*d**3 + 0*d**2 as u*d**3 + o + y*d**2 + h*d and give u. -17 Express (6*s**2 - 2*s**2 - 3*s**2)*(3 - 3 + 3*s) + 4*s**3 + 10*s**2 - 10*s**2 in the form u*s**2 + f*s**3 + h + g*s and give f. 7 Rearrange 25*a**3 + 3*a**2 - 26*a**3 - 6*a - 3*a**2 to q*a + w*a**2 + b*a**3 + p and give b. -1 Express 7 - 9*f**2 + 3*f**2 + 8*f**2 + 4*f + 0*f**2 in the form c*f**2 + q + y*f and give q. 7 Express -2 + 2268*w + 2*w**2 - 3 + 4 - 2253*w as c + v*w**2 + l*w and give c. -1 Rearrange (p + 2*p - 2*p)*(3 - p - 3) + 3*p**2 + 5*p**2 - 6*p**2 + (4*p + 21*p - 13*p)*(-p + 5*p - 2*p) to z*p + n + m*p**2 and give m. 25 Rearrange (2*v + 3*v - 3*v)*(2 + 1 - 5) + 74 - 243*v + 21 + 245*v to the form y + c*v and give c. -2 Rearrange 5*q**4 - 23*q**3 - 1 - 3*q**4 - 3*q**4 + 0*q**4 to d*q**2 + j*q + s + m*q**3 + g*q**4 and give g. -1 Express (2*f**2 - 7*f**2 + 2*f**2)*(-11*f**2 - 16*f**2 - 40*f**2) in the form p*f + s*f**4 + m*f**3 + a + x*f**2 and give s. 201 Express (0 + 0 + 2*q)*(-86 - 28 - 60 + 31) in the form w + d*q and give d. -286 Express -9*x - 6*x - 5*x as m + w*x and give w. -20 Rearrange (-22*c + 22*c - 10*c**4)*(1 - 3 + 4) to the form w*c**4 + a*c + r*c**2 + x + y*c**3 and give w. -20 Express 12 + 44*u - 12 as r + j*u and give j. 44 Express (4736 + 122*z - 4736)*(-5 + 4 - 1)*(-2*z + 3*z + 0*z) as t*z + s*z**2 + p and give s. -244 Rearrange (2 - 6*c**3 + 1854*c**2 - 1854*c**2 + c)*(-3 - 1 + 2) to the form u*c**3 + n*c**2 + b*c + r and give r. -4 Rearrange 2 - 2158*p**3 + 2164*p**3 + 3*p - p**2 + p**2 to r*p**2 + h*p + l*p**3 + c and give c. 2 Rearrange 11*o - 7*o + 5*o**3 - o to the form g + d*o**2 + a*o**3 + p*o and give a. 5 Rearrange (11 - 11 + 2*i)*(18*i**2 + 20*i**2 - 27*i**2 + 2) + 0*i**3 + 2*i**3 + 0*i**3 to s*i**2 + b*i**3 + c + d*i and give d. 4 Rearrange (3*a**2 + 3*a**2 - 5*a**2)*(-a - 1 - 2*a + 0) to the form o*a + v*a**3 + s*a**2 + j and give s. -1 Express 2 - 3*w**2 + 4*w**2 - w**4 - 5 + 3*w - w**3 + 6 in the form s*w + i*w**4 + u*w**2 + y + o*w**3 and give i. -1 Express -8*z**2 + 2 + 5337*z**3 + 2*z**4 - 5337*z**3 in the form m + p*z**2 + v*z + j*z**4 + w*z**3 and give p. -8 Express 16 + 3*x**2 - 5 - 7 - 2*x**2 as f*x**2 + h*x + y and give f. 1 Express -2 - k**3 + 2 + (4*k**2 - 4*k**2 - 2*k**2)*(-95 + 95 - 5*k)*(-4 - 5 + 3) as d*k**3 + i*k + z*k**2 + w and give d. -61 Express (-y + 3*y - 5*y)*(25*y**2 + 25*y**2 + 27*y**2) in the form w*y + q*y**2 + d*y**3 + i and give d. -231 Express 2*o**3 + 9*o**3 - 2 - 12*o**3 - 25*o**4 in the form n + g*o**2 + y*o**4 + b*o + u*o**3 and give u. -1 Express (-3*g + 2*g + 3*g)*(6*g - 3 + 3)*(0*g**2 + g**2 + g**2) in the form y*g**4 + q*g**3 + u + c*g**2 + m*g and give y. 24 Rearrange -s**2 + 6*s + 11*s**2 + 4*s**2 - 8*s to d + h*s + c*s**2 and give h. -2 Rearrange -4 + 7 - 29*q - 3 to a + d*q and give d. -29 Express -7*q**2 - q**2 + 8*q**2 + 14*q**2 as g*q + x*q**2 + k and give k. 0 Express -7 - 4*f - 4*f**2 + 3*f**2 - f**2 as h + v*f + y*f**2 and give y. -2 Rearrange -6*p + 29*p + 31*p + 22*p to the form n + g*p and give g. 76 Rearrange (-10 + 7*j + 4 + 4)*(-4*j + 3*j + 8*j)*(3*j - 3*j + 2*j) to c*j**2 + b*j + y*j**3 + k and give y. 98 Rearrange -10*o - 2*o**2 + 33*o + 10*o + 1 + 7*o to the form l + h*o + b*o**2 and give l. 1 Express (3*v**3 + v**2 - v**2)*(-3 + 2 + 2 + 2*v) as s*v**2 + y*v**4 + m*v**3 + l*v + w and give y. 6 Rearrange 7 - v - 7 to the form n*v + t and give n. -1 Express 88 - 11*q - 84 + 33*q + q + q - 4*q + (1 + 0 + 0)*(0*q + 2*q - 4*q) + 0*q + 2*q + 0*q - 2*q + q + 2*q in the form a + d*q and give a. 4 Express (1 - 4 + 1)*(-21*i**4 + 33*i - 33*i) as w + d*i + j*i**2 + y*i**4 + f*i**3 and give y. 42 Rearrange 167*l - 167*l + 19*l**2 + (l + 3*l - 3*l)*(2 - l - 2) to the form i*l + z + v*l**2 and give v. 18 Express (h - 3*h + 4*h)*(-19*h**3 - 15*h**3 - 5*h**3) as w + l*h**2 + o*h**3 + t*h + g*h**4 and give g. -78 Express (-24 + 18 - 39)*(5 - 4 + 2)*(0*z - 5*z + 7*z) in the form y*z + t and give y. -270 Rearrange -48*q + 60*q + 58*q to the form m*q + j and give m. 70 Express 1 + 4 - 2 - u - 8*u in the form v + z*u and give z. -9 Express (-l - 2*l + 5*l)*(1 + l**2 - 1) + (-4*l**2 + 4*l - 4*l)*(-2 + 3*l - l - l) as j*l**2 + f + d*l**3 + b*l and give b. 0 Rearrange 2*v**2 + 0*v**3 - 3*v + 0*v**2 + 5*v**3 to the form l*v + c*v**3 + h + k*v**2 and give l. -3 Express (25*z**2 - 19*z**2 - 18*z**2)*(-2*z**2 - 5*z + 5*z) in the form f*z**2 + c + l*z**3 + a*z + k*z**4 and give k. 24 Rearrange 6*g**2 - 8*g**2 - 13*g**2 to the form a*g**2 + m*g + k and give a. -15 Rearrange -2*x**2 + x + 11 - 2 - 4*x**4 - 10 - x**3 + 3*x**3 to the form m + w*x**2 + i*x**3 + u*x**4 + g*x and give i. 2 Express -2*u + 339*u**2 - 305*u**2 + 2*u as m + r*u**2 + c*u and give r. 34 Rearrange 12*d + 12*d + 0*d**2 + 2*d**2 + 2*d to the form f*d + p*d**2 + g and give f. 26 Express 13*b**3 + 3*b**4 + 3 - 2*b**2 - 6*b**3 - 8*b**3 as o*b**2 + c + q*b**4 + z*b + u*b**3 and give q. 3 Express (-2*w**2 - w + w)*(-3*w**2 - 11*w**2 - 18*w**2) in the form k*w**2 + f*w**4 + o*w + g + j*w**3 and give g. 0 Express 7*p - 7*p - 8*p**2 + (-10*p + 2*p + p)*(2*p - 3*p + 2*p) + (2 + 2*p**2 - 2)*(-6 + 1 + 3) as n*p + x*p**2 + k and give x. -19 Rearrange -9*y - 8*y - 5*y to the form z + g*y and give g. -22 Rearrange (-u + 3*u + 7*u)*(3 - 5 + 4)*(3*u + 3*u - 5*u) to the form t + r*u**2 + k*u and give r. 18 Express (-b - 3*b + 0*b)*(0 - 1 - 1)*(-2 - 7 - 2) as a + m*b and give m. -88 Rearrange (0*c**3 + 0*c**3 - 2*c**3)*(-c + 2*c - 2*c) + (-2*c**3 - c**3 + c**3)*(5*c - 3*c + 2*c) to p*c + a*c**3 + x*c**2 + v + l*c**4 and give v. 0 Rearrange (-1 + 2*h + 1)*(64*h + 1 + 45*h - 46*h) to the form b + m*h**2 + v*h and give m. 126 Rearrange -4*m**3 - 2 - 6*m**2 + 4*m**2 - 7*m**2 + 6*m**3 to the form z*m**2 + w*m + g + d*m**3 and give g. -2 Express (-2 + 2 - 1)*(-1 + 1 - 2*y**2) + y + y**2 - y + y**2 + 0*y**2 - 5*y**2 in the form b*y + s*y**2 + o and give s. -1 Rearrange -u - 11*u**3 - u**2 + u**4 + 7*u**3 + 6*u**3 to g*u**3 + c*u**2 + x + q*u**4 + p*u and give c. -1 Express -s**3 + 2*s - 2*s + (-2 + 0 + 1)*(0*s**3 + s**3 + 2*s**3) + 6*s**3 - 2*s**3 - 3*s**3 + 0 - 3 + s**3 + 5 as y*s**2 + p*s + a + j*s**3 and give p. 0 Rearrange 29*k**3 - 1 + k - 63*k**3 + k**2 + 35*k**3 + 0 to the form x*k**3 + c + u*k + h*k**2 and give u. 1 Rearrange 4*x**2 - 3 + 3*x**2 + x**4 - 8*x**2 to the form i + q*x**3 + g*x + r*x**2 + b*x**4 and give i. -3 Rearrange -5 + 16 - 8*t + 3*t + 3*t to the form y + p*t and give y. 11 Rearrange ((2 + 0 + 0)*(2 + 1 - 1) - 13 + 4 + 3 + 0 + 0 + 2 + 1 - 1 + 5)*(-2*a + 0 + 0 + (2*a - 2*a + a)*(-2 + 1 + 0)) to the form x*a + w and give x. -15 Express 2*h**3 - 15*h**3 + 0*h**3 + (-2 - 4*h + 2)*(5 + 0 + 4*h**2 - 2*h**2 - h) in the form z*h + v*h**2 + q*h**3 + f and give v. 4 Express -7*k + 5*k + 6*k as i*k + c and give i. 4 Express (-3*k + 2*k**2 + 3*k)*(k - 5*k + k) - 4*k**3 + 0 + 0 + (0*k**2 + 0*k**2 - 3*k**2)*(1 - 1 - 2*k) in the form f*k + v + m*k**3 + p*k**2 and give p. 0 Rearrange (26 - 7 - k - 2)*(-1 - 2*k + 1 + (-1 + 2 + 1)*(-k + 3 - 3)) to the form b*k**2 + x + r*k and give r. -68 Rearrange 33*y - 880 + 880 to n + v*y and give v. 33 Express 7*o**2 - 3*o**2 - o**2 - 2*o**2 + 9*o as b*o + h*o**2 + v and give v. 0 Rearrange l**2 - 3*l**2 - 8*l**3 + 2 + 9*l**3 to the form d*l**3 + t*l + o*l**2 + g and give g. 2 Rearrange 1 - 3*m + m**2 + 2*m**4 + 4*m + 1 + m to t*m**2 + s*m + v + b*m**3 + q*m**4 and give q. 2 Express 4*t**4 + 2 - 3*t**3 - 110*t + 2*t**2 + 7*t**3 + 112*t as r*t**2 + f*t + b + x*t**4 + i*t**3 and give i. 4 Rearrange (w - 3*w + w)*(w + w + 0*w)
{ "pile_set_name": "DM Mathematics" }
al places. 0.0016 Round -290750.077 to the nearest 1000. -291000 Round 1624.210037 to the nearest one hundred. 1600 Round 110.594774 to two decimal places. 110.59 What is -25.0975889 rounded to the nearest 10? -30 Round 46.6591344 to the nearest 10. 50 What is 0.0000002195955 rounded to seven decimal places? 0.0000002 What is -3.173232164 rounded to 4 decimal places? -3.1732 What is 0.53673426 rounded to 3 decimal places? 0.537 What is -221814801 rounded to the nearest one million? -222000000 What is 0.00001999182042 rounded to seven decimal places? 0.00002 Round -0.000002190597 to six dps. -0.000002 What is -0.00000044069539 rounded to 7 decimal places? -0.0000004 What is 0.009068881651 rounded to 7 dps? 0.0090689 What is -1868271.7 rounded to the nearest 100? -1868300 What is 39.813403 rounded to 2 dps? 39.81 What is 0.171235778 rounded to five decimal places? 0.17124 What is -0.0009081374 rounded to five dps? -0.00091 What is 0.00049304037 rounded to 5 dps? 0.00049 What is -6058327.1 rounded to the nearest 1000? -6058000 Round -9633074.6 to the nearest one million. -10000000 Round -0.000773877018 to 5 decimal places. -0.00077 What is 346893637 rounded to the nearest 100000? 346900000 What is -7745028.46 rounded to the nearest 1000000? -8000000 What is 12.8995 rounded to the nearest one thousand? 0 Round 121.39281318 to the nearest integer. 121 Round -7.7398551 to three decimal places. -7.74 Round 27170.50211 to the nearest 100. 27200 Round 0.000040254564 to five decimal places. 0.00004 Round -6.2467377 to 1 decimal place. -6.2 What is -0.044048157 rounded to one decimal place? 0 What is 0.000050877775 rounded to 7 dps? 0.0000509 What is -33.8618744 rounded to one dp? -33.9 What is 13230088.8 rounded to the nearest 100000? 13200000 What is -1772743660 rounded to the nearest 100000? -1772700000 Round 0.0255686976 to 6 dps. 0.025569 Round -0.00186421523 to 7 decimal places. -0.0018642 Round 661732590.7 to the nearest 100000. 661700000 Round 2102969.625 to the nearest one hundred thousand. 2100000 Round -1110.530632 to the nearest one hundred. -1100 What is -53739361.32 rounded to the nearest one million? -54000000 What is 9465.00097 rounded to the nearest 1000? 9000 Round 142130082 to the nearest one million. 142000000 What is -2.4367926 rounded to 2 decimal places? -2.44 What is -0.01803050943 rounded to 4 decimal places? -0.018 What is 0.59500317 rounded to three dps? 0.595 Round 12852666.85 to the nearest one thousand. 12853000 Round -19492133 to the nearest 10000. -19490000 What is 1328858.2528 rounded to the nearest one hundred? 1328900 Round -28123.009698 to the nearest ten. -28120 Round 0.344769479 to three decimal places. 0.345 What is 0.00613958944 rounded to 4 dps? 0.0061 What is -0.00017774708 rounded to 4 decimal places? -0.0002 What is -8302.92671 rounded to the nearest ten? -8300 What is -30569.301 rounded to the nearest 10000? -30000 What is -0.1233127381 rounded to two decimal places? -0.12 What is -2321.2033 rounded to the nearest 10? -2320 Round 56512.0375 to the nearest 10. 56510 Round 78.312173 to the nearest one hundred. 100 Round -2254246.39 to the nearest 100000. -2300000 Round -10791.0776 to the nearest one hundred. -10800 What is -0.00000771753956 rounded to seven decimal places? -0.0000077 What is 0.88522972 rounded to one decimal place? 0.9 What is -0.199683817 rounded to two decimal places? -0.2 Round 325413.8777 to the nearest one thousand. 325000 Round -1964396.63 to the nearest 10000. -1960000 What is 932.06418 rounded to the nearest one hundred? 900 What is -2.21953185 rounded to 4 decimal places? -2.2195 Round -1786.44956 to 1 decimal place. -1786.4 Round -0.0000002408497 to seven decimal places. -0.0000002 What is -1596.616583 rounded to the nearest one hundred? -1600 Round 0.7734342847 to four decimal places. 0.7734 What is -0.001510493125 rounded to four decimal places? -0.0015 Round -555240.143 to the nearest 10. -555240 Round -0.621772997 to 2 decimal places. -0.62 Round 133.84509 to the nearest 10. 130 What is 20173226.2 rounded to the nearest one hundred thousand? 20200000 What is -46915.3627 rounded to the nearest ten thousand? -50000 Round -238.653208 to zero dps. -239 What is 0.00000607343397 rounded to six decimal places? 0.000006 Round -0.0817582156 to 4 decimal places. -0.0818 What is 7.01724205 rounded to 1 decimal place? 7 What is 3801505762 rounded to the nearest one hundred thousand? 3801500000 What is -11054007370 rounded to the nearest 1000000? -11054000000 What is 3074.522193 rounded to 1 decimal place? 3074.5 What is -7734.967192 rounded to the nearest one thousand? -8000 What is -0.00206123812 rounded to 4 dps? -0.0021 Round 452.33143 to one dp. 452.3 Round -318697754 to the nearest 100000. -318700000 Round -0.02498411368 to five dps. -0.02498 What is -0.00317082273 rounded to seven dps? -0.0031708 What is 0.00052775393 rounded to six dps? 0.000528 Round 32531660.9 to the nearest 1000000. 33000000 What is -6611.79191 rounded to the nearest ten? -6610 Round 0.003230394063 to five decimal places. 0.00323 What is 0.03894955819 rounded to 4 decimal places? 0.0389 Round -107454.63 to the nearest 100. -107500 Round 58.78663649 to the nearest 10. 60 What is 762269.7 rounded to the nearest one hundred thousand? 800000 Round 43143.62 to the nearest one thousand. 43000 Round 1.62419283 to zero dps. 2 What is -1.120120563 rounded to 1 dp? -1.1 Round -0.032114343354 to 4 dps. -0.0321 What is 0.0167455716 rounded to five decimal places? 0.01675 Round 0.840494807 to 4 decimal places. 0.8405 What is -0.0000003237662 rounded to 6 dps? 0 What is 0.0376713392 rounded to 2 dps? 0.04 What is 15131.15946 rounded to the nearest ten? 15130 What is -2195390620 rounded to the nearest 100000? -2195400000 What is -0.0011661601 rounded to 5 decimal places? -0.00117 What is -1.10719444 rounded to 2 dps? -1.11 What is 9185804.08 rounded to the nearest 1000? 9186000 What is 0.06131969703 rounded to 4 decimal places? 0.0613 Round 0.00000092526186 to 7 dps. 0.0000009 Round 93592.54244 to the nearest ten thousand. 90000 Round -0.0108569502 to 6 decimal places. -0.010857 What is 0.361013598 rounded to 5 dps? 0.36101 Round 0.00051870975 to five dps. 0.00052 What is -0.00000498275193 rounded to 7 decimal places? -0.000005 What is -22480859 rounded to the nearest 100000? -22500000 What is 0.340014024 rounded to 1 dp? 0.3 Round 130.069944 to zero decimal places. 130 Round -0.0207358851 to 6 decimal places. -0.020736 What is -470568340.3 rounded to the nearest 10000? -470570000 Round 54302737.27 to the nearest one million. 54000000 Round 0.000036646594 to 7 dps. 0.0000366 What is 0.0000124508988 rounded to seven decimal places? 0.0000125 What is 0.000062665361 rounded to 6 decimal places? 0.000063 What is -50365.772 rounded to the nearest ten? -50370 Round -15201472.43 to the nearest one hundred. -15201500 What is -0.892552062 rounded to 2 dps? -0.89 What is 0.0000135355159 rounded to 7 dps? 0.0000135 Round -13.2921292 to one decimal place. -13.3 What is 0.0030776305 rounded to 3 decimal places? 0.003 Round -80.350624 to the nearest integer. -80 Round 60.4920045 to the nearest 10. 60 What is -0.0000287922313 rounded to seven decimal places? -0.0000288 What is -0.01406497391 rounded to four decimal places? -0.0141 What is 6483952930 rounded to the nearest one million? 6484000000 What is 0.313294865 rounded to 5 dps? 0.31329 What is -0.000000151888706 rounded to seven decimal places? -0.0000002 Round -234.05229 to zero dps. -234 What is -7405028.3 rounded to the nearest one million? -7000000 Round 0.01174891298 to 5 dps. 0.01175 What is 969609.06 rounded to the nearest 100000? 1000000 What is -456206.36 rounded to the nearest one hundred? -456200 What is 0.00170454261 rounded to seven decimal places? 0.0017045 What is 65203.76296 rounded to 0 decimal places? 65204 What is -0.001064922241 rounded to four dps? -0.0011 Round -2.56817876 to two dps. -2.57 What is -0.002840394179 rounded to 4 decimal places? -0.0028 What is -87285690 rounded to the nearest one hundred thousand? -87300000 Round 39474501.2 to the nearest 100000. 39500000 What is 221877959 rounded to the nearest 100000? 221900000 What is 0.00434814125 rounded to six
{ "pile_set_name": "DM Mathematics" }
12 = -4*g. Suppose 4*w = g*i + 7, 0*w + w + 7 = -i. Put 1, w, 4 in decreasing order. 4, 1, w Suppose -11 = -8*d + 21. Put 5, -3, d in decreasing order. 5, d, -3 Let a = 126 - 507/4. Sort 2/3, 0, a, 0.5 in descending order. 2/3, 0.5, 0, a Suppose 5*p + 29 = 3*f, -2*f + 0*f = -p - 10. Suppose 26 = -4*l - 2*h, 0*l - 28 = 4*l + 4*h. Let r = l - p. Sort -5, 5, r in descending order. 5, r, -5 Let k = -9.7 - -10.2. Put -5, k, 0.02 in increasing order. -5, 0.02, k Let j be -3*1/(-3) + 14. Suppose -2*l + j = l. Let y(t) = -t**2 - 7*t - 4. Let k be y(-7). Sort l, k, 1 in decreasing order. l, 1, k Let k = -0.06 - 9.94. Let a = 14 + k. Let v = a + -3.6. Put v, -2/7, 5 in descending order. 5, v, -2/7 Let z(o) = o - 8. Let p be z(12). Let x = -8 + 4. Put p, x, 0 in increasing order. x, 0, p Let j be (-34)/(-60) - 2/5. Let g be 2/9 - 80/279. Let k = -43/186 - g. Put k, -5, j in ascending order. -5, k, j Let h(j) = 0*j - j - 1 - 1. Let z be h(3). Put z, 5, 2 in descending order. 5, 2, z Let a = 2.2 - 0.2. Let z be (1 + 14/(-32))/(33/44). Let h be 0 + 0 - (3 - 1). Sort h, a, z in ascending order. h, z, a Suppose 7 - 2 = -w. Suppose -5*y = u - 11, 4*y - 2*y = 3*u + 1. Suppose 0 = -d - 2*m + 6, -2*d - 12 = -4*m - 0. Sort w, d, y in descending order. y, d, w Let q = 51 - 49. Sort -1, q, 1/3 in descending order. q, 1/3, -1 Let u = -21 + 19.8. Sort -3, 0, u in descending order. 0, u, -3 Let s(i) = i**2 + 4*i - 6. Let c(n) = -n**3 + 4*n**2 + 4*n. Let g be c(5). Let k be s(g). Put k, 3, 1 in decreasing order. 3, 1, k Let o = 0.3 + -1.2. Let n = o + -0.1. Let z = -4.3 - -4. Sort -3, z, n in descending order. z, n, -3 Let b = -1.86 + 2. Let l = -0.86 - b. Sort 1/5, l, -2 in increasing order. -2, l, 1/5 Let q be (2 - 4) + 4/2. Let z(j) be the first derivative of -j**3/3 - 2*j**2 + 2*j - 2. Let b be z(-4). Sort q, b, -5 in decreasing order. b, q, -5 Let u = -91.1 + 91. Let g = -0.6 + 1. Put 2/7, u, g in decreasing order. g, 2/7, u Suppose -p + 4*n = 0, 2*p + 5*n + 16 = 3. Sort p, -2, 0. p, -2, 0 Suppose 3*m - 16 = -5*m. Sort m, -3, -2. -3, -2, m Let u = -9 + 1. Put -2/5, 0.3, u, 2/3 in ascending order. u, -2/5, 0.3, 2/3 Suppose 6 = 4*s - 6. Let x = 3 - s. Let g = 0 - x. Put g, 3, -1 in decreasing order. 3, g, -1 Suppose -12 = 2*a + 4*v, -4 = -2*a + 3*v - 2. Let j be -2 + (1 - (4 + 0)). Let x = j + 5. Put a, x, -1 in descending order. x, -1, a Let g be (8/(-576)*-8)/(2/(-6)). Put 9, g, 3 in ascending order. g, 3, 9 Let a be (-7)/(-4) + 9/(-12). Let t(b) = -b + 8. Let o be t(-7). Suppose -i = y - 3, -y - y = -5*i + o. Sort a, i, 4 in decreasing order. 4, i, a Suppose v - 45 = -13. Suppose v = 2*a + 2*a. Suppose -4 = -3*n + 5*x, 2*n - a = -4*x + 2*x. Sort -3, n, -2 in descending order. n, -2, -3 Suppose 5*d = -2*g + 15, 0 = 2*d - g - 4*g + 23. Suppose 6 + 6 = 3*x. Let q = 8 - x. Put q, d, -2 in decreasing order. q, d, -2 Let g = 3 + -6. Let v = -3 - g. Let r = v + 0.4. Put -3/7, r, -5 in descending order. r, -3/7, -5 Let j = -14 - -9. Suppose 4*b = 7*b + 9. Sort j, b, 1 in descending order. 1, b, j Let n(g) = g**3 - 10*g**2 + g - 10. Let s be n(10). Suppose -5*b + 20 = s, 0*b = -2*k + b - 4. Sort k, -1, 1. -1, k, 1 Let i = 2980 + -107287/36. Let q = i + 4/9. Let w = -4 - 1. Put 3, w, q in descending order. 3, q, w Suppose 0 = y + 5 - 1. Let t be 18/4 - 2/4. Suppose -3*o - 5 = 2*n, 3*n = 5*n + 2*o + t. Sort n, y, -5 in ascending order. -5, y, n Suppose -h + 2*w = 4*h - 12, 3*w = -h - 1. Suppose -h*i - 8 = -0. Sort i, -5, 1 in decreasing order. 1, i, -5 Let y = -25/14 + 16/7. Put 8, -4, y in decreasing order. 8, y, -4 Let r = 16 - 16.5. Sort -8, r, 5 in decreasing order. 5, r, -8 Let n be (-1)/(-2 + (-22)/(-10)). Suppose 0*h + 5*j - 33 = -h, j + 35 = 5*h. Suppose -q - h = -4*w, -5*w - 6 = 5*q + 9. Sort n, -2, q in ascending order. n, q, -2 Suppose 4*j - 2*r + 16 = -r, r + 24 = -4*j. Put 3, 1, j in descending order. 3, 1, j Let n = 5 + -9. Let a = n - 1. Sort 0, a, -2/5. a, -2/5, 0 Let n = -9 - -1. Let s(k) = -2*k + 9. Let l be s(11). Let r = l - n. Put r, 4, 3 in decreasing order. 4, 3, r Suppose 3*l - 2 = 2*l. Suppose -o = 4*c - 39, 7 + l = c + o. Let w be (-12)/c*40/12. Sort -5, w, 3. -5, w, 3 Suppose -4*f = 16, 2*d - 3 = -3*f - 1. Let l(h) = d - h**2 - 5*h**2 + 3*h**3 + 3*h - 2*h**3. Let w be l(5). Sort -1, 1, w in increasing order. w, -1, 1 Let m = 4 + -1. Let b be (-3 - (-21)/6)*2. Let k be b + (-1 - 1) + 6. Sort -4, m, k in decreasing order. k, m, -4 Let h = -95 + 116. Sort -0.2, 3, h in descending order. h, 3, -0.2 Let m = 13959/23 - 607. Let s(d) = 11*d + 8. Let u be s(-6). Let b = 409/7 + u. Sort m, -4, b in descending order. b, m, -4 Let n = -18 + 15. Suppose l = 4*l + g - 11, -5*l = -4*g - 7. Let f be (-2 + l)*(-4)/(-26). Sort n, 2/5, f in ascending order. n, f, 2/5 Let t = -97 - -98. Put t, 0.3, -1, -1/6 in decreasing order. t, 0.3, -1/6, -1 Let z = 174 + -173. Put 0.1, 5, z, -5 in descending order. 5, z, 0.1, -5 Let b = 0.1 + -2.1. Sort -4, b, 1/2 in increasing order. -4, b, 1/2 Let v = -1.6 + 1.3. Put v, 1/2, 1 in decreasing order. 1, 1/2, v Suppose 5*v - 4*x - 10 = 0, v + 2*x = -2*x + 2. Sort -7, v, -5. -7, -5, v Let z be (2 - 5) + 3156/1155. Let h = -3/35 - z. Sort 0.02, h, -0.2 in decreasing order. h, 0.02, -0.2 Let w = -13.6 + 14. Put 5, w, -5 in descending order. 5, w, -5 Suppose 5 + 2 = t. Suppose 4 = -3*q + 4*x - 1, 2*x = 3*q + t. Suppose b - 29 = -4*b - 3*r, -2*b - 2*r + 14 = 0. Sort b, q, -2/7 in ascending order. q, -2/7, b Let x = -5.23 - -0.23. Let p = 0.7 - -2.3. Sort p, 1, x. x, 1, p Let y be 2 + 2*(-15)/6. Put -5, 1, y in descending order. 1, y, -5 Let m = -60 - -65. Sort -2, -47, m in increasing order. -47, -2, m Let d = 3 + 1. Put d, -7, 2 in decreasing order. d, 2, -7 Suppose 0 = -2*p - 2*p + 24. Let s(w) = -2*w + 18. Let a be s(5). Let g = p - a. Put g, -3, 2 in descending order. 2, g, -3 Let s be ((-2)/(-4))/((-1)/2). Let l = 19/28 - 3/7. Sort l, 0.5, s in increasing order. s, l, 0.5 Suppose 12*j - 25 = 17*j. Sort j, 5, 0 in descending order. 5, 0, j Let i(g) = 2*g**3 - 5*g**2 - 6. Let n be i(3). Put -4, -2, n, 34 in ascending order. -4, -2, n, 34 Let m = -4 - -7. Suppose -10 = -2*k - m*k. Let w(g) = g**3 + 7*g**2 - 3*g - 16. Let j be w(-7). Put 0, j, k in decreasing order. j, k, 0 Suppose 0 = 2*v - q + 6, 3*v - 4*v - 5*q = -19. Sort 4, -5, v, -2. -5, -2, v, 4 Let f = 182 - 178. Let c = -1/30 - -37/210. Put 2/3, f, c in ascending order. c, 2/3, f Let v = 5 + 1. Let i be (-9)/(-12)*4/v. Put -5, i, 5 in decreasing order. 5, i, -5 Let j be (1 - 3) + 7 + -2. Let g be 2 + (6 + -3 - 4). Put j, g, -2 in decreasing order. j, g, -2 Let z be (-2 + 3)*(0 - 6). Let m be (9 - 0)*(-4)/z. Let x be (m/(-99)*6)/2. Sort -1/3, x, 0.4 in descending order. 0.4, x, -1/3 Let x(a) = 3*a + 2. Let w = 11 - 15. Let r be x(w). Let k = r + 6. Sort -5, 5, k in decreasing order. 5, k, -5 Let g = -28 - -59/2. Put -1, -3, g in increasing order. -3, -1, g Suppose 4*x + 15 + 1 = 0. Let v = -32 - -33. Let h = 8 + -13. Sort x, v, h in ascending order. h, x, v Let o be 2/3 - 9/((-243)/(-18)). Let u = 2.3 + -0.3. Put o, u, -1/3 in decreasing order. u, o, -1/3 Let k = -28 - -23. Let v be ((-1)/(-2))/((-2)/(-8)). Let w be (-1)/3 - 7/(-12). Put k, v, w in decreasing order. v, w, k Let k = -8.02 - -0.02. Let i = k - -8.2. Put 0.1, i, -0.4 in descending order. i, 0.1, -0.4 Suppose -2*d + 4 = 2*d. Suppose -5*a = 4*k - d + 22, 3*a = -5*k - 10. Put 2, -3, k in descending order. 2, k, -3 Let i = 37 + -39. Let f = 0 + -0.1. Let k = f + 0. Sort k, i, 2/5. i, k, 2/5 Let c = 0.2 + 0.1. Let s = 0.3 - c. Let y = 1 + 1. Put s, 0.1, y in decreasing order. y, 0.1, s Let s be (-5)/10*36/21. Suppose -4*c + 3 = 3*z, -2*c - 3*z = c - 6. Sort c, -5, s. -5, c, s Let c be (16/(-6))/(2/(-3)). Sort c, 3, -8. -8, 3, c Let h(t) be the second derivative of t**3/6 + t**2 - 3*t. Let q be h(0). Sort q, 1, 5 in ascending order. 1, q, 5 Suppose 0 = -5*p + 2*s + 1, -2*p - s - 6 = p. Put 1, p, 3 in ascending order. p, 1, 3 Let w = 2.38 - 2. Let q = w + 0.02. Let o = -2.9 + -0.1. Put o, -0.4, q in ascending order. o, -0.4, q Suppose 0*n - 20 = -5*n. Let q be 28/16 - (-2)/8. Let w be (-2 + 5)*(-2)/q. Put n, w, -5 in descending order. n, w, -5 Let v = -0.317 - -0.017. Put -4/7, -3, v, 3 in descending order. 3, v, -
{ "pile_set_name": "DM Mathematics" }
2. Suppose 2*n + 2*i - 12 = 0, -2 = -3*n - 5*i + 20. Let g = n - 6. Determine a(g). -4 Suppose 3 = -3*m + 6. Let g be 5 - (-2 + 1 + m). Suppose g*r = -11 + 31. Let d(a) = a**3 - 4*a**2 - 2*a + 3. Determine d(r). -5 Let w(t) = -t**2 + 4*t - 2. Let n be w(3). Let c(j) = -j**2. Let y be c(n). Let r(x) = -x**3 + x + 1. Calculate r(y). 1 Let o(n) = 5 - 3 - 4 - 2*n + 0. Give o(-4). 6 Let u be 1*(2 - (-1)/1). Suppose 0 = 4*l - 3*l - u. Let b(o) = l*o - o + 5 - o. Calculate b(0). 5 Let n(w) = -w + 6. Let s = 8 + -8. Suppose -p = c - 5, s = 4*c + p + p - 18. Suppose 2*j + c*b - 8 = 0, 0*b - 8 = -5*j - 4*b. Give n(j). 6 Let g(m) be the first derivative of m**4/12 + 2*m**3/3 + 3*m**2/2 - 2*m - 1. Let b(d) be the first derivative of g(d). Calculate b(-3). 0 Suppose -4*h = -2*c + 14, 0 = -2*c + 2*h - 7*h - 31. Let n(s) = s**3 + 3*s**2 - 2*s - 4. What is n(c)? 2 Let d(n) = n. Let k = 2 - 0. Let v be k + -3 + 1 + -4. Give d(v). -4 Let x(d) = 2*d + 5*d**2 - 2*d**3 + 6 + 3*d**3 - 2*d**3 - 2. Calculate x(5). 14 Let s(y) = y**2 + y + 4. Suppose -5*m - 17 = w + 2*w, -4*w + 5*m - 11 = 0. Give s(w). 16 Let l(c) be the first derivative of c**3/3 - 3*c**2 - c - 8. Calculate l(7). 6 Let m(n) be the second derivative of n**4/6 + 7*n**3/6 - n. Suppose 21 + 4 = -f - 4*r, -10 = 2*r. Give m(f). 15 Let f be 1 + (-3 - -6)*-1. Let n be 1 + f + 2 + 0. Let o(p) be the first derivative of 4*p**3/3 - p**2 + p + 1. What is o(n)? 3 Let s(p) = p**2 - p. Let r be s(-1). Let b(o) = r*o + 1 + 2*o**2 - 2*o. Let m be -1 + -3 - (8 - 8 - 6). Give b(m). 9 Suppose -l + 0*l + 7 = -v, -2*v = l + 5. Let d(r) = 3*r**3 + 5*r**2 + 4*r + 1. Let u(a) = a**3 + a. Let g(k) = -d(k) + 2*u(k). What is g(v)? -9 Let n = -1/29 + 31/58. Let q(w) be the second derivative of -n*w**2 + 0 + w**3 + 2*w. Determine q(-1). -7 Let i(a) = -2*a + 3. Let v be (-111)/(-15) + (-6)/(-10). Let w be ((-2)/4)/((-1)/v). Calculate i(w). -5 Let x(l) = -l**2 - l. Let q(w) = -w**3 - w**2 + w + 1. Let a be q(-1). Give x(a). 0 Let m(o) = -o**3 - 5*o**2 - 5*o + 4. Let p = -20 + 28. Let q(b) = -b**3 + 7*b**2 + 8*b - 4. Let t be q(p). Determine m(t). 8 Let l(w) = -1. Let n(k) = -2*k**2 - 4*k - 7. Let d(y) = -5*l(y) + n(y). Suppose -b - b + 23 = -5*f, 4*f + 4 = -2*b. Calculate d(f). -8 Suppose 6*z + 16 = 10*z. Let d be 4/z*(2 - -1). Let a(y) = y**2 + y - 1. Let h(o) = -2*o**2 - 7*o + 3. Let f(m) = -3*a(m) - h(m). Determine f(d). 3 Let l = 3 + -5. Suppose 2*r + 2*o = 8, 4*o = r + o + 16. Let b(k) = k + 1. Let g(z) = 11*z + 9. Let c(y) = r*g(y) + 6*b(y). Determine c(l). 7 Let m(s) = s - 1. Let c be m(5). Suppose -2*k = c*f, -5*f + 4*k = -k. Let g(u) = u**2. Calculate g(f). 0 Let b(s) = 2637 - 2637 + s. Calculate b(-5). -5 Let v(j) = -4*j + 3. Let t(z) = -z - 1. Let y(w) = -5*t(w) + v(w). Give y(-8). 0 Let x(n) = n**2 - 5*n + 5. Suppose 2*v - 5*w + 10 = -v, 0 = 5*v + 4*w - 45. Suppose -v*c - 6 = 3*s + 6, 0 = 2*c + 5*s + 1. Let y = c - -7. What is x(y)? 1 Let g(k) = k - 1. Let d(r) = -r + 1. Suppose 6*s - 4*s = 0. Suppose s = -c + 3*c - 6. Let u(z) = c*d(z) + 2*g(z). What is u(-1)? 2 Let i(x) = 2*x + 41. Let t be i(-22). Let n(s) = s**2 - s + 1. Let k(q) = -q. Let r(h) = 4*k(h) - n(h). Calculate r(t). -1 Let y(j) = j**3 + 13*j**2 + 11*j - 8. Suppose 7*o + 60 = 2*o. What is y(o)? 4 Let j(g) = -2*g + 4*g - g + 1. Suppose 4*r - 7*r = -w - 3, 0 = -r + w - 1. Suppose 5*n = 10, 2*p - 3 = r*n - 15. Give j(p). -3 Let t(p) be the third derivative of 1/8*p**4 + 0 + 0*p + p**2 - p**3. Calculate t(4). 6 Let d(f) = f**3 + 5*f**2 + 2*f + 3. Let v = -4 - 1. Let n = 1 + v. Calculate d(n). 11 Let l(f) be the first derivative of f**6/120 + f**5/10 - f**4/24 - 7*f**3/6 + 5*f**2/2 + 6. Let b(n) be the second derivative of l(n). Determine b(-6). -1 Let f(u) = -u**2 + 2. Let l be f(0). Let z = -1 + l. Let x(r) = 2*r**3 - r**2 - 2 - 9*r**3 + 1 + r**3 + 2*r. Calculate x(z). -6 Let k(s) be the third derivative of s**6/120 - s**5/20 - s**4/8 - 2*s**3/3 - 17*s**2. Let i be 2*5/2 + -1. What is k(i)? 0 Let t(x) = 34*x**3 + 6*x + 5*x**2 - 58*x**3 + 25*x**3. Suppose 0 = -u - 2*j - 2, -u - u - 9 = -j. What is t(u)? -8 Let n(x) = 6*x - 1. Let y(q) = -q**2 + 4*q. Let h be y(3). Let t be 3/(3*h/9). Let m = t + -2. Calculate n(m). 5 Let b be 112/(-49) - 2/(-7). Let f be (5/(-3))/(b/6). Let o(a) = a - f + 3*a + 1. Determine o(3). 8 Suppose 4 = 6*h - 8*h. Let s(v) = -2*v + 1. Give s(h). 5 Let n(r) = -21*r**2 + 6*r + 9 + 0*r + 34*r**2 - 14*r**2. Determine n(7). 2 Let x be ((-3)/(-2))/(1/2). Let n(z) = -z**3 + 2*z**2 - 1. Let c be n(1). Let f(d) = -3 + 0*d**2 - 2*d + c*d**2 + d**2. Calculate f(x). 0 Let i be -4*(3 + 28/(-8)). Let k(g) = -3 + 2*g**2 + 2 + 0*g**2. Determine k(i). 7 Let i(o) = o - 1. Suppose -r = -3*r + 2. Let p(t) = t**3 - 2*t**2 + 7*t - 7. Let n(d) = r*p(d) - 5*i(d). Suppose v + 0 = 2. What is n(v)? 2 Suppose -4*y = 0, -5*y - 25 = -0*l - 5*l. Let b(d) = -3*d**2 - 3*d + 9*d - 3*d**2 - 2 + d**3. Calculate b(l). 3 Let x = 5 - 9. Let c = 5 + x. Let g = -4 + c. Let s(w) = w**2 + 4*w. What is s(g)? -3 Let m(o) be the first derivative of o**4/24 + 11*o**3/6 + 3*o**2/2 + 5. Let q(y) be the second derivative of m(y). Let a = -12 - -7. Give q(a). 6 Let m(o) = 5*o. Let g(q) = -q - 2. Let c be g(-6). Suppose 2*z + 22 = c*t, -t + 3*z + 29 = 4*t. Suppose -i + s - t = 0, 4*i + 5*s - 24 = 5*i. What is m(i)? 5 Let h(l) = 2*l**3 - 3*l**2 + 2*l + 7. Let y be 1 - 0 - (-1 + -5). Let z(g) = 2*g**3 - 2*g**2 + 2*g + 6. Let f(w) = y*z(w) - 6*h(w). What is f(-2)? -4 Suppose 3*c + 6 + 30 = 0. Let x be (-7)/(-4) + (-3)/c. Let s(l) = -l. Determine s(x). -2 Let x(u) = -u**2 + 4*u - 1. Suppose 8 + 8 = 4*m. Suppose -3*d + 3*b = -18, -3*b + 1 - m = 0. What is x(d)? -6 Let d(v) = -v - 11. Let k be d(-10). Let h(w) = -6*w + 4*w**2 - 1 + 2*w**2 + 4*w. Calculate h(k). 7 Let q = 2 + -2. Let m = -1 + q. Let z(a) = 2*a**2 + 2*a + 1. What is z(m)? 1 Let h(n) be the third derivative of 0 + 0*n - 1/6*n**3 + 6*n**2 - 1/8*n**4. Calculate h(4). -13 Let g(u) = 14*u**2 - 5*u + 6. Let k(o) = 14*o**2 - 4*o + 5. Let d(z) = 6*g(z) - 7*k(z). Give d(1). -15 Suppose -13 = x - 3. Let k = -15 - x. Let p(r) = -4*r**2 + 3*r**3 + 3 - 2*r**3 + 0*r**3 - 2*r**3 + 6*r. What is p(k)? -2 Let g(o) = 0 + 0 - 1 + 8*o. Let l be (-4 - (-3 + 3)) + 5. Give g(l). 7 Let p(j) = j - 1. Let f(d) = -d**2 + 2*d - 6. Let s(k) = f(k) - 4*p(k). Suppose -22*g - 6 = -23*g. Suppose 2*w - g*w - 8 = 0. Calculate s(w). -2 Let f = 13 - 19. Let x = f + -3. Let a(h) = -5*h**3 - 11*h**2 - 17*h + 3. Let r(l) = l**3 + 3*l**2 + 4*l - 1. Let u(c) = x*r(c) - 2*a(c). Determine u(5). -7 Let y(h) = -h**3 + 5*h**2 - 6*h + 2. Let c(o) = -3*o - 9. Let n be c(-6). Let p = -6 + n. Suppose -4*m + 8 = -2*f, 0*f + p*f - 5*m + 8 = 0. Calculate y(f). -6 Let k = 5 - 5. Let q = k + -20. Let l be q/(-16)*(4 + 0). Let d(p) = -p - 2. What is d(l)? -7 Let q = 18 - 17. Let b = q - 0. Let a(n) = -13*n**2 + n - 1. Give a(b). -13 Let i be (-4 + 4)/(-2 + 3 + -2). Let g(z) = -z**2 + z + 1. Calculate g(i). 1 Let j(i) = -2*i**2 + 2*i + 9. Let w(f) = -f**2 + 1. Let u(h) = -j(h) + 3*w(h). Calculate u(-5). -21 Let h(s) be the first derivative of s**4/4 - s**3/3 - s + 3. Calculate h(2). 3 Let c(p) = -p**2 + 3*p + 1. Let a(x) = 4*x**2 + 2*x - 1. Let q be a(1). Suppose -q*o + o = -16. Suppose 2*g + 0 = o. Give c(g). 3 Let p(h) = -h - 3. Let n be p(-5). Suppose 2*q = -0 - n. Let l(u) = 5*u**3 - u**2 - 2*u - 1. Give l(q). -5 Let n(z) be the second derivative of -z**6/240 + z**5/20 - z**4/4 - 3*z. Let f(l) be the third derivative of n(l). Determine f(4). -6 Let q(s) = -s**2 + 7*s + 3. Suppose 5 + 11 = 2*d. Give q(d). -5 Suppose 0 = 72*h - 70*h + 14. Let o(p) = p**3 + 7*p**2 - 2*p - 10. Calculate o(h). 4 Suppose -4*n + 5 = -11. Suppose -n*m + 6*j - 2*j + 8 = 0, -4 = -2*m - 4*j. Let t(b) = b**2 - 3*b + 1. Calculate t(m). -1 Let c(l) be the first derivative of -l**3/3 + l**2/2 - 3. Let t be 4/(-18) - 6/(-27). What is c(t)? 0 Let q(b) = b + 1. Let f(w) be the first derivative of 7*w**2/2 + 7*w - 1. Let h(t) = -f(t) + 5*q(t). Let r be (2 + -3)*2 - 1. Calculate h(r). 4 Let u(p) = -9*p**3 + 6*p**2 + p + 11. Let n(l) = 4*l**3 - 3*l**2 - 5. Let a(k) = 7*n(k) + 3*u(k). What is a(3)? 7 Let d be (-1 - -4) + -4 - -8. Let z(h) = 0*h**2 + 6 - d*h - 2*h + 2*h + h**2. Give z(4). -6 Let w(r) = -5*r + 97. Let
{ "pile_set_name": "DM Mathematics" }
= -91996, r + 4*r - g + d = 0. What is r rounded to the nearest 10000? -50000 Let p = -0.38517 - -0.12212. Let v = -0.269 - p. Round v to 3 dps. -0.006 Let g = -0.332 + 0.23. Let a = 0.61 + -0.582. Let j = a + g. What is j rounded to two decimal places? -0.07 Let h = 1.1 - 0.3. Let p = -0.768 + h. What is p rounded to three decimal places? 0.032 Let q = -38.35 + 46.593. Let c = 8.3 - q. What is c rounded to 2 dps? 0.06 Let y = -45 + 38.2. Let i = -42.3 - y. Round i to the nearest 10. -40 Let s = -2.2 - -153.2. Let f = -148.82 + s. Round f to 1 decimal place. 2.2 Let r = -97.8418 + 98. Let u = r + -0.201. What is u rounded to 2 decimal places? -0.04 Let p = -3274.48 + 3331. What is p rounded to the nearest ten? 60 Let t = 34 - 41. Let x be (t + 50007)/((-2)/8). What is x rounded to the nearest one hundred thousand? -200000 Suppose -6956472 = -8*k + 6*k. Let x be (4/(-2))/((-6)/k). Suppose -4*n - 720588 - x = 0. What is n rounded to the nearest 100000? -500000 Let g = -42 + 45. Suppose -4*w + 227985 = -3*q, 0*w - w + g*q = -56985. Round w to the nearest 10000. 60000 Let q = -1614486.8467 - -1614386. Let h = q - -197.84737. Let y = h + -97. What is y rounded to four decimal places? 0.0007 Let d = 1109.41 + -217.71. Let c = d - 1024. What is c rounded to the nearest 10? -130 Let v = -0.0034 + 0.0034603. Round v to six decimal places. 0.00006 Let l = -26.1 + 26.099088. What is l rounded to four decimal places? -0.0009 Let m = -1.43 - 162.57. Let p = 175.9 + m. What is p rounded to the nearest integer? 12 Let v(f) = -724*f**3 - 5*f**2 + 15*f + 22. Let b be v(-7). Let s = b + -527004. Round s to the nearest 10000. -280000 Let z = 259.5 + -229. What is z rounded to the nearest ten? 30 Let i(n) = -9290*n**2 + 10. Let w be i(13). Round w to the nearest one hundred thousand. -1600000 Let z = -55.3 + 55.097. Round z to one dp. -0.2 Let s = 89687 + -150487. What is s rounded to the nearest 1000? -61000 Let f = -0.0527 - 267.9473. Let z = -268.000429 - f. What is z rounded to five decimal places? -0.00043 Let y = 9785088.00082 + -9785184. Let a = y - -96. Round a to four decimal places. 0.0008 Let r = 240423 + -240486.9926. Let i = 63.59 + 0.41. Let d = i + r. Round d to 3 dps. 0.007 Let a = -0.02454 - 41.15546. Round a to the nearest ten. -40 Let p = -96.3612 - 135.6617. Let l = -580 - -812. Let q = p + l. What is q rounded to three decimal places? -0.023 Let m = 73 + -80.6. Let k = m - -6. Let z = 1.59955 + k. Round z to four decimal places. -0.0005 Let t = -2444 + -1010. Let l = t - -7021. Let w = l - 1927. Round w to the nearest 100. 1600 Let h = -78 + 77.99999898. Round h to 7 dps. -0.000001 Let b = 110 - 65. Let x = 45.00164 - b. What is x rounded to 4 dps? 0.0016 Let b = -0.089 - -4.939. Let t = 15 - b. Let c = 0.65 + t. What is c rounded to the nearest integer? 11 Let o = -5.16 - -102.76. What is o rounded to the nearest ten? 100 Let c be (2214400/96)/(1/(-750)). What is c rounded to the nearest one million? -17000000 Let s be 1 + (-156)/((-20)/5). Suppose 0 = -38*m + s*m - 12280000. What is m rounded to the nearest one million? 6000000 Suppose -11078 = 6*q - 101762. Let i be q/(-21) + 2/(-7). Round i to the nearest 100. -700 Suppose 23*w = 25*w. Suppose w = -5*g - g - 126. Let c be 2/3 + (-491386)/g. What is c rounded to the nearest 1000? 23000 Let x = -34 + 19. Let a = x + 32. Let w = a + -16.99999838. What is w rounded to 7 decimal places? 0.0000016 Suppose -q = -6*q - d + 4510, -1796 = -2*q - 2*d. Round q to the nearest 10. 900 Let z = -0.496 + 0.495837. Round z to five decimal places. -0.00016 Suppose 8*v - 2070 = 2*v. Suppose 4*u - 3*q + v = 0, 4*u + q + 46 = -319. Round u to the nearest one hundred. -100 Let b = -0.035 - -208.035. Let p = b - 185.8. What is p rounded to the nearest integer? 22 Let b = 253.46974 - 253.5. What is b rounded to 3 dps? -0.03 Let y = 0.191373 + 25.808377. Let l = y - 26. What is l rounded to four dps? -0.0003 Let f = 214 - 327.8. What is f rounded to the nearest 100? -100 Let l = -186.077 + -420.8737. Let j = 607 + l. What is j rounded to three dps? 0.049 Let l = 13.26 - 13. Let h = -0.17 + l. Let c = 2.39 - h. What is c rounded to 0 decimal places? 2 Let n = 1.9 - 0.4. Let d = -19.1 + -7.9. Let b = n + d. Round b to the nearest integer. -26 Let d be 5/(-3*(-1)/879). Let z be 2 - (d + -4 - -1). Round z to the nearest 100. -1500 Let d = -1.7762072 - -1.1762105. Let f = 0.53 + 0.07. Let m = f + d. Round m to 6 decimal places. 0.000003 Let o = -32.6 - -32.447. Let j = -0.15 + 0.35. Let m = j + o. Round m to two decimal places. 0.05 Let s = -0.0143 - -13.8943. Let d = 0.12 + s. Let g = d - 13.99999825. What is g rounded to seven dps? 0.0000018 Let t = -228.49 - -230. Let l = -1.51123 + t. Round l to four decimal places. -0.0012 Let f = 12.4 + 11.9. Round f to zero dps. 24 Let u = 0.06 - -0.25. Let x = -0.69 + u. Let q = 0.38000033 + x. What is q rounded to 7 decimal places? 0.0000003 Let w be 10385999775/(-180) + (-5)/4. Round w to the nearest one million. -58000000 Let p be -413 + 8 + 6/(-2). Round p to the nearest ten. -410 Suppose -291*y + 78120 = -297*y. Round y to the nearest 1000. -13000 Let t(w) = 1089*w - 45. Let h be t(3). What is h rounded to the nearest 100? 3200 Let g = 185.8 - 187. Let p = 0.0417 + 1.1623. Let n = p + g. What is n rounded to two decimal places? 0 Let m = -410 + 270. Let w = m - -140.000114. Round w to five decimal places. 0.00011 Let p = 6.4 - 0.4. Let q = 31 + p. Let u = 37.0000011 - q. Round u to seven decimal places. 0.0000011 Let m = 4.83 - 1.42. Let j = -36.69 - m. Let a = j + 43. What is a rounded to the nearest integer? 3 Let p = 1379460819.180019 + -1379524860.74. Let t = 64063.56 + p. Let w = t + -22. What is w rounded to five decimal places? 0.00002 Let f be 0 + (1 - 8/(-4)). Suppose 3*w + 2*w - 2*i + 91999992 = 0, -f*w - 55199992 = -2*i. What is w rounded to the nearest one million? -18000000 Let u(l) be the third derivative of 81250*l**4/3 - 8*l**2. Suppose 5*n = 0, -s - 2 = s + n. Let y be u(s). Round y to the nearest 100000. -700000 Let q = -152.256 - -152. What is q rounded to one decimal place? -0.3 Let g = -104.6 - -104.60862. What is g rounded to four dps? 0.0086 Let x = 297.58 - 20.88. What is x rounded to the nearest 10? 280 Let w = 875.0000469 + -875. What is w rounded to five decimal places? 0.00005 Let v = -1911.00003915 + 1911. What is v rounded to 6 decimal places? -0.000039 Let b = -3020917356 - -3020917319.12433853. Let w = b + 39.8756614. Let s = 3 - w. What is s rounded to seven decimal places? 0.0000001 Let h = 45.2 - 9.6. What is h rounded to the nearest ten? 40 Let u = 2.75 + -0.85. Let a = u + -1.05. Round a to 1 decimal place. 0.9 Let i(f) = -7 - 2234607*f + 4 - 878063*f - 7687333*f. Let p be i(-1). What is p rounded to the nearest one million? 11000000 Let u = 2008.3 + -1902. Let k = 95 - u. Round k to zero dps. -11 Let l = -2.49 + 2.4900074. Round l to 6 dps. 0.000007 Let b(s) = -14*s**2 - 6*s - 2. Suppose 3*x - 9 = -0*x. Suppose -z - 4*z = -q - 3, -x*q - 2*z = -25. Let w be b(q). Round w to the nearest 100. -700 Let m = -0.112168 + 0.113. Round m to five dps. 0.00083 Let i = 6151.274 + -6145. Round i to 0 dps. 6 Let f = 1932 - 2124.8. Round f to the nearest one hundred. -200 Let q = 304 + -323. Let k = -21.22289 + 2.22509. Let m = k - q. What is m rounded to four dps? 0.0022 Let u = 20.5 - 11.3. Let b = u - 9.2000037. Round b to six dps. -0.000004 Let m = 289 + -222. Let j = 874 + -954.6. Let n = m + j. Round n to zero dps. -14 Let x = 1732.8 + -1922. Round x to the nearest 10. -190 Let q = -44.845 - -60.98. Round q to one decimal place. 16.1 Let q be -2 - 2/(12/(-1122)). Round q to the nearest ten. 190 Suppose 8*i - 1817 = -15*i. Round i to the nearest ten. 80 Suppose 3*b + 1648663 + 57662 = 3*z, 5*z - 3*b = 2843871. Suppose 2*l - z - 1411227 = 0. What is l rounded to the nearest one hundred thousand? 1000000 Let k = 11.9 + -78.9. Let w = 66.78 + k. What is w rounded to 1 dp? -0.2 Let x = 7 + -7.3. Let a = -8.8 - x. What is a rounded to zero dps? -9 Let z = 7.357 + 0.043. Let f = -111.7 - z. Let q = 114 + f. What is q rounded to the nearest integer? -5 Let l = -137 + 132.32. Let j = l - 0.02. Let h = j + 4.699938. Round h to five decimal places. -
{ "pile_set_name": "DM Mathematics" }
13. Let j(f) = 2283*f - 39. Give 6*j(v) + 18*l(v). 13626*v Let d(h) = 32*h**3 - 40*h**2 - 40*h + 40. Let i(x) = -5*x**2 - 5*x + 82. Let k(w) = -w**2 - w + 15. Let v(p) = -2*i(p) + 11*k(p). Calculate -d(q) + 40*v(q). -32*q**3 Let y(r) be the second derivative of r**3/2 - 3*r**2/2 - 265*r. Let l(j) = -10*j + 8. Let c = 3 + 0. Determine c*l(x) + 8*y(x). -6*x Let r(w) = -2*w**3 + 5*w**2 - 25. Let f(d) = -5*d**3 + 13*d**2 - 75. Calculate 4*f(q) - 11*r(q). 2*q**3 - 3*q**2 - 25 Let t(z) = z**2 - 11*z + 20. Let b be t(9). Let d(j) = b + 0 - 3. Let x(p) = -p + 13. Let r be x(16). Let f(m) = -m**2. Give r*d(y) - 2*f(y). 2*y**2 + 3 Let q = -14036 - -14034. Let f(p) = 3*p**3 - 7*p - 2. Let b(y) = 4*y**3 - 6*y - 3. Calculate q*b(o) + 3*f(o). o**3 - 9*o Let t(d) be the first derivative of d**4/2 + 10*d**2 + 1003. Let i(j) = -2*j**3 - 19*j. What is 5*i(k) + 4*t(k)? -2*k**3 - 15*k Let t be (-192)/(-160)*(-20)/3 + (-2)/2. Let y(o) = -o + 3. Let p(a) = -a**2 + 5*a - 13. Calculate t*y(v) - 2*p(v). 2*v**2 - v - 1 Suppose -5381 = 4*b + 3*h - 5363, 5*h = 4*b + 34. Let o(z) = -12*z**2 + 2. Let s(j) = -25*j**2 + 5. What is b*s(c) + 13*o(c)? -6*c**2 - 4 Let t be (-13)/5 + (-36)/90. Let v(l) = 5 - l**2 + 0*l**2 + 1 - 7 - l. Suppose 2*y - 1 = -3. Let i(z) = -3*z**2 + 3*z + 3. What is t*v(c) + y*i(c)? 6*c**2 Let m(n) = -1. Let o(y) = -7*y**3 + 190*y**2 - 26*y - 23. Let p be o(27). Let a(d) = -2*d**2 + 4*d - 7. Give p*m(c) - a(c). 2*c**2 - 4*c + 3 Let p(d) = d**2 + 208*d - 5. Let w(b) = b**2 + b + 2. Calculate p(v) + 3*w(v). 4*v**2 + 211*v + 1 Let q(j) = -j. Let g(l) = -6*l + 33. Suppose 5*h - 40 = 4*a, -130*h + 131*h - 29 = 5*a. Give a*q(w) + g(w). -w + 33 Let p(j) = 1. Let v(x) = 3*x - 5. Let s(b) = -3*p(b) - v(b). Let h(c) be the third derivative of c**4/8 - c**3/2 + 6*c**2. Give 2*h(a) + 3*s(a). -3*a Let j(x) = -3*x**3 + 5*x**2 + 6*x - 7. Let q(f) = -2*f**3 - 62*f - 4 + 69*f + 6*f**2 - f**3 - 3. Determine 7*j(o) - 6*q(o). -3*o**3 - o**2 - 7 Let a(x) = -8*x**3 - 3*x**2 + 3*x + 1. Let d(p) be the second derivative of 3*p**5/4 + 5*p**4/12 - 5*p**3/6 - p**2/2 + 1527*p. Calculate 5*a(r) + 3*d(r). 5*r**3 + 2 Let q(i) = 2*i + 3. Let u(j) = -6*j - 8. Let r = 20 + 11. Let f = 100 - r. Suppose 0 = -p - f + 58. Calculate p*q(n) - 4*u(n). 2*n - 1 Let s(a) = -35*a**2 - 15*a. Suppose 6*i + 45 = 3*i. Suppose -10*x + 7*x - 12*x + 116 = 14*x. Let b(m) = -9*m**2 - 4*m. Calculate i*b(w) + x*s(w). -5*w**2 Suppose 5*a - 9*a + 24 = 0. Let g(d) = 0 - 2 - a*d + 22*d - 14*d. Let h = 47 - 52. Let v(p) = 6*p - 6. What is h*v(n) + 14*g(n)? -2*n + 2 Let a(n) = -7*n - 2605. Let f(m) = -4*m - 1304. Give 3*a(k) - 5*f(k). -k - 1295 Suppose 10*q - 13*q - 9*s = -90, -2*s + 6 = -4*q. Let f(u) = -47*u + 3. Let g(z) = -z + 1. Calculate q*g(v) - f(v). 44*v Let y(a) = 3*a**3 - 5*a**2 - 619*a + 20. Let w(q) = -q**3 + q**2 - 4. Determine 5*w(c) + y(c). -2*c**3 - 619*c Let u(q) = 3*q**3 + 2*q**2 - 2*q + 7. Let y = -16451 + 16449. Let r(b) = -3*b**3 - 3*b**2 + 3*b - 8. Calculate y*r(a) - 3*u(a). -3*a**3 - 5 Let g(c) = -40*c**3 + 942*c**2 - 17*c + 51. Let v(w) = -7*w**3 + 157*w**2 - 3*w + 9. Determine -6*g(f) + 34*v(f). 2*f**3 - 314*f**2 Let r(t) be the second derivative of t**4/3 - t**3/2 - 7441*t. Let k(g) = -7*g**2 + 5*g. Let o = 0 + -3. What is o*k(v) - 5*r(v)? v**2 Suppose 65 = 3*d - 19. Let w(q) = -4*q**2 - 3*q - 3. Let m(s) = 25*s - 30*s - 28 - 23*s - 31*s**2 - 4*s**2. Determine d*w(f) - 3*m(f). -7*f**2 Let r(b) = -112*b - 117. Let y(g) = -223*g - 214. Determine 11*r(w) - 6*y(w). 106*w - 3 Let d(c) = -3*c**3 - 18*c**2 - 107*c + 4. Let z(g) = -14*g**3 - 99*g**2 - 535*g + 22. Calculate -11*d(p) + 2*z(p). 5*p**3 + 107*p Let m(r) = -1. Suppose 3*k = 4*d - 7 - 9, -5*d + 2*k + 13 = 0. Let p(o) = -10*o**2 + 3. Let v = 546 + -543. Determine d*p(g) + v*m(g). -10*g**2 Let g(y) = y**3 + y. Let h(s) = -306*s - 7651. Let r be h(-25). Let c(x) = -x**2 + 7*x - 4. Let a be c(7). Let j(u) = -10*u**3 - 6*u. What is a*g(i) + r*j(i)? 6*i**3 + 2*i Let s(g) = -2. Let j(n) = -16*n - 155. What is j(b) + 11*s(b)? -16*b - 177 Let j(r) = 17 + 9*r + 10 - r**2 - 1 - 1. Let y be j(11). Let w(c) = 4. Let l(d) = d**2 + 3. Calculate y*w(p) - 4*l(p). -4*p**2 Let x(o) = 13*o**2 + 23*o + 52. Let z(j) = -10*j**2 - 17*j - 39. What is 8*x(u) + 11*z(u)? -6*u**2 - 3*u - 13 Let i(t) = t**2 + 2*t. Let b(p) = -8*p**2 - 13*p - 58. Give -b(m) - 6*i(m). 2*m**2 + m + 58 Let q(a) = a**3. Let u(g) = 40*g**3. Let i = 9 - 7. Let b = 4847 - 4917. What is b*q(n) + i*u(n)? 10*n**3 Let g(x) = 123*x**2 + 20*x - 110. Let o(f) = 61*f**2 + 10*f - 63. What is -4*g(u) + 7*o(u)? -65*u**2 - 10*u - 1 Let c(b) = 6*b**2 + 6*b - 5. Let v be (-208)/34 + ((-18)/189)/((-17)/21). Let t(l) = l**3 + 5*l**2 + 5*l - 4. What is v*t(u) + 5*c(u)? -6*u**3 - 1 Let w(c) = -319*c**3 - 16*c**2 - 32*c - 13. Let l(u) = 106*u**3 + 6*u**2 + 12*u + 5. Give -8*l(g) - 3*w(g). 109*g**3 - 1 Let t(p) = -112*p**2 + 115*p - 2. Let b be t(1). Let o(a) = 19*a - 5. Let w(n) = n - 1. Calculate b*o(z) - 3*w(z). 16*z - 2 Let h(c) = 16*c**2 - 5*c - 5. Let i(b) be the third derivative of -17*b**5/60 + b**4/6 + 2*b**3/3 - 2935*b**2. What is -4*h(o) - 5*i(o)? 21*o**2 Let b(w) = -26*w - 795. Let p(r) = -23*r - 792. What is -5*b(n) + 6*p(n)? -8*n - 777 Let b be (-36)/4*34/(-6). Let v(m) be the first derivative of 25*m**2/2 + 9. Let f(c) be the first derivative of 3*c**2/2 - 20. Calculate b*f(j) - 6*v(j). 3*j Let r(c) = 213*c**2 + 18*c + 21. Let h(v) = -54*v**2 - 4*v - 5. Determine -9*h(t) - 2*r(t). 60*t**2 + 3 Let y(a) = 7*a - 2. Let m(h) = -h**2 - 2. Let i be m(0). Let r be 15*-3*(-4)/18. Let z(u) = 18 - 8*u - r - 6 + 2*u. What is i*y(c) - 3*z(c)? 4*c - 2 Let f(w) be the first derivative of 2*w**3/3 + 3*w**2/2 + 2748. Let b(n) = -n**3 + 3*n**2 + 6*n. Give 2*b(u) - 5*f(u). -2*u**3 - 4*u**2 - 3*u Let z(n) = -21590*n + 21 + 43184*n - 21591*n. Let j(w) = -w - 10. What is 7*j(c) + 3*z(c)? 2*c - 7 Let t(u) = -5*u**2 - 2*u + 3. Let y = -30254 + 30257. Let q(g) = 6*g**2 + 2*g - 2. Determine y*t(h) + 4*q(h). 9*h**2 + 2*h + 1 Let c(w) = -2*w**3 + 2*w**2 - w + 3. Let n(i) = 167*i**3 - 3*i**2 + 4*i - 6. Give -2*c(a) - n(a). -163*a**3 - a**2 - 2*a Let m(b) = -2*b**2 + b + 86809 - 2*b**2 - 5*b**2 - 43399 - 43406. Let g = 10 + -15. Let n(z) = -10*z**2 + z + 5. Determine g*m(q) + 4*n(q). 5*q**2 - q Let z(u) = -3*u + 192. Let j(s) = -9*s + 580. What is 2*j(h) - 7*z(h)? 3*h - 184 Let g be 26 + ((-144)/24 - 15). Let m(q) = 9*q + 6. Let o(y) = -17*y - 11. Give g*m(u) + 3*o(u). -6*u - 3 Let s(f) = -5*f + 8. Suppose 0 = 9*j - 7*j. Suppose j*u + u = 0. Let x(v) = -1 + 2 - 20*v + 19*v + u. Determine -s(i) + 6*x(i). -i - 2 Let z(a) = -4*a + 13. Let t(s) = s**3 - 3*s**2 - 56*s + 15. Let q be t(9). Let d(x) = -7*x + 26. Determine q*d(c) + 5*z(c). c - 13 Let y(g) = g. Let m(j) = -2*j + 4. Suppose 37 + 19 = -16*b - 8. Calculate b*y(c) - m(c). -2*c - 4 Let k(q) = -12*q - 235. Let b(r) = -r - 36. Determine b(m) - k(m). 11*m + 199 Let c(a) = 2*a - 11. Let f = -4 + 8. Let y(p) = p - 6. Let h be (42/9 - 5)*-15. Suppose h*r = 5*s - s - 43, 32 = -4*r + 2*s. Determine f*c(n) + r*y(n). n - 2 Let s(h) = 3*h - 3. Let a be (12*(-1)/(-4)*-1)/(-1). Let p(b) = -1. Give a*p(n) + s(n). 3*n - 6 Let j(t) = -41*t**2 + 5*t - 25. Let d(r) = 44*r**2 - 5*r + 27. Let q(a) = 12*d(a) + 13*j(a). Let v(i) = 6*i**2 - 6*i + 1. Determine -4*q(y) - 3*v(y). 2*y**2 - 2*y + 1 Let r(m) be the second derivative of -m**4/12 - 2*m**3/3 + m**2 + 2931*m. Let d(l) = -2*l**2 - 5*l + 3. Give -4*d(b) + 5*r(b). 3*b**2 - 2 Let x(f) = -f - 1. Let h(p) = 5*p**2 + 6*p + 3. Suppose 454*v + 313 = 141*v. Give v*h(u) - 5*x(u). -5*u**2 - u + 2 Let x(d) = 51*d**2 + 10*d + 10. Let l(b) = -b**2 - 2*b - 2. Give -6*l(t) - x(t). -45*t**2 + 2*t + 2 Let h(n) = -3172*n**3 - 3*n - 6. Let c(p) = 117362*p**3 + 112*p + 224. Determine -3*c(a) - 112*h(a). 3178*a**3 Let u(c) = -3*c + 4. Let b(f) = 8*f - 12. Let a = 11 - 25. Let x be (2 - 1)*(-7 - -12)*-1. What is a*u(s) + x*b(s)? 2*s + 4 Let r(k) = -3276*k + 7. Let m(s) = 9860*s - 19. What is -4*m(z) - 11*r(z)? -3404*z - 1 Let k(r) = 25*r**3 - 6*r**2 + 6. Let m(p) = -1401 - 55*p**2 + 740 + 716 + 225*p**3. Determine 55*k(c) - 6*m(c). 25*c**3 Suppose -20*g = 30*g - 38*g - 12. Let a(w) = w**3 - w**2 - 4*w + 1. Let j(f) = f**3 + f**2. Calculate g*a(n) + j(n
{ "pile_set_name": "DM Mathematics" }
of -55, -53, -53, -55, -59? -s**2 + 5*s - 59 What is the g'th term of 11669, 23338, 35007? 11669*g What is the c'th term of -95, -98, -101, -104? -3*c - 92 What is the w'th term of -310, -298, -286, -274, -262, -250? 12*w - 322 What is the v'th term of -626, -631, -638, -647? -v**2 - 2*v - 623 What is the c'th term of -79, -79, -73, -55, -19, 41, 131, 257? c**3 - 3*c**2 + 2*c - 79 What is the t'th term of 8554, 8553, 8552? -t + 8555 What is the k'th term of -23, -54, -79, -98? 3*k**2 - 40*k + 14 What is the r'th term of 21, 65, 191, 441, 857, 1481, 2355, 3521? 7*r**3 - r**2 - 2*r + 17 What is the b'th term of -13, -2, 17, 44, 79, 122? 4*b**2 - b - 16 What is the j'th term of -738, -1477, -2216, -2955, -3694, -4433? -739*j + 1 What is the k'th term of -43, -127, -211, -295, -379, -463? -84*k + 41 What is the m'th term of 473, 950, 1417, 1868, 2297, 2698, 3065? -m**3 + m**2 + 481*m - 8 What is the n'th term of 9, 8, 15, 36, 77, 144, 243, 380? n**3 - 2*n**2 - 2*n + 12 What is the w'th term of -83, -116, -149, -182? -33*w - 50 What is the u'th term of 15, -8, -67, -180, -365, -640? -3*u**3 - 2*u + 20 What is the i'th term of 257, 514, 785, 1076, 1393, 1742? i**3 + i**2 + 247*i + 8 What is the m'th term of 9498, 9500, 9502, 9504, 9506, 9508? 2*m + 9496 What is the x'th term of -643, -1283, -1911, -2521, -3107, -3663? x**3 - 647*x + 3 What is the d'th term of 80, 76, 70, 62, 52, 40, 26? -d**2 - d + 82 What is the z'th term of -4, -28, -68, -130, -220, -344, -508? -z**3 - 2*z**2 - 11*z + 10 What is the j'th term of -43, -37, -29, -19, -7, 7, 23? j**2 + 3*j - 47 What is the c'th term of -439, -458, -489, -532, -587, -654, -733? -6*c**2 - c - 432 What is the j'th term of -84, -100, -114, -120, -112, -84, -30, 56? j**3 - 5*j**2 - 8*j - 72 What is the y'th term of -166, -163, -160, -157? 3*y - 169 What is the o'th term of 367, 734, 1101? 367*o What is the a'th term of 10, 25, 42, 61, 82, 105? a**2 + 12*a - 3 What is the g'th term of -42, -46, -36, -6, 50, 138, 264? g**3 + g**2 - 14*g - 30 What is the t'th term of 212, 214, 216, 218, 220, 222? 2*t + 210 What is the c'th term of -119, -94, -67, -38, -7? c**2 + 22*c - 142 What is the t'th term of -9656, -9650, -9642, -9632, -9620, -9606? t**2 + 3*t - 9660 What is the v'th term of -184, -183, -182, -181, -180? v - 185 What is the d'th term of -109, -231, -351, -469, -585, -699, -811? d**2 - 125*d + 15 What is the i'th term of -12, -21, -38, -63, -96, -137, -186? -4*i**2 + 3*i - 11 What is the l'th term of 69, 90, 123, 168, 225, 294? 6*l**2 + 3*l + 60 What is the o'th term of -2, -20, -54, -110, -194? -o**3 - 2*o**2 - 5*o + 6 What is the b'th term of -5884, -11767, -17650, -23533, -29416? -5883*b - 1 What is the f'th term of -10, -18, -34, -58, -90, -130, -178? -4*f**2 + 4*f - 10 What is the m'th term of 496, 977, 1448, 1903, 2336? -m**3 + m**2 + 485*m + 11 What is the g'th term of 946, 1894, 2842, 3790, 4738, 5686? 948*g - 2 What is the v'th term of 153, 309, 465, 621, 777, 933? 156*v - 3 What is the w'th term of -10, 29, 66, 101, 134, 165? -w**2 + 42*w - 51 What is the b'th term of 5, 8, 29, 74, 149, 260, 413, 614? b**3 + 3*b**2 - 13*b + 14 What is the n'th term of -585, -594, -615, -654, -717, -810? -n**3 - 2*n - 582 What is the i'th term of -2796, -5595, -8396, -11199, -14004, -16811? -i**2 - 2796*i + 1 What is the w'th term of 48, 69, 104, 153? 7*w**2 + 41 What is the z'th term of -8, 0, 18, 52, 108? z**3 - z**2 + 4*z - 12 What is the s'th term of 91, 104, 119, 136? s**2 + 10*s + 80 What is the b'th term of 25, 120, 273, 478, 729, 1020? -b**3 + 35*b**2 - 3*b - 6 What is the b'th term of 113, 138, 165, 194, 225, 258, 293? b**2 + 22*b + 90 What is the l'th term of 35, 7, -33, -91, -173, -285? -l**3 - 21*l + 57 What is the c'th term of -287, -324, -361, -398, -435? -37*c - 250 What is the v'th term of 101, 85, 69, 53? -16*v + 117 What is the z'th term of -32, -124, -296, -554, -904, -1352, -1904, -2566? -z**3 - 34*z**2 + 17*z - 14 What is the r'th term of 331, 662, 993, 1324, 1655, 1986? 331*r What is the o'th term of 47, 54, 61, 68, 75? 7*o + 40 What is the q'th term of -75, -186, -295, -402, -507, -610? q**2 - 114*q + 38 What is the f'th term of 964, 980, 998, 1018, 1040, 1064, 1090? f**2 + 13*f + 950 What is the g'th term of -10, -15, -12, -1, 18? 4*g**2 - 17*g + 3 What is the m'th term of -1024, -2047, -3070, -4093, -5116, -6139? -1023*m - 1 What is the m'th term of -19834, -19836, -19848, -19876, -19926, -20004, -20116, -20268? -m**3 + m**2 + 2*m - 19836 What is the d'th term of -9, -50, -117, -210, -329, -474, -645? -13*d**2 - 2*d + 6 What is the z'th term of 58, 72, 96, 130, 174, 228, 292? 5*z**2 - z + 54 What is the s'th term of 232, 212, 192, 172, 152? -20*s + 252 What is the p'th term of 48, 68, 86, 102, 116, 128? -p**2 + 23*p + 26 What is the h'th term of -46, -64, -80, -94, -106, -116? h**2 - 21*h - 26 What is the u'th term of -35, -105, -227, -407, -651? -u**3 - 20*u**2 - 3*u - 11 What is the u'th term of -106, -208, -310? -102*u - 4 What is the q'th term of 2862, 2863, 2864, 2865, 2866? q + 2861 What is the l'th term of 226, 458, 690, 922, 1154? 232*l - 6 What is the y'th term of -43, -54, -79, -124, -195, -298, -439, -624? -y**3 - y**2 - y - 40 What is the x'th term of -269, -541, -813, -1085? -272*x + 3 What is the p'th term of -47, -99, -153, -209? -p**2 - 49*p + 3 What is the f'th term of 711, 1423, 2135? 712*f - 1 What is the m'th term of 994, 1000, 1010, 1024, 1042, 1064, 1090? 2*m**2 + 992 What is the b'th term of 1549, 3096, 4643, 6190, 7737? 1547*b + 2 What is the w'th term of -193, -245, -287, -313, -317? w**3 - w**2 - 56*w - 137 What is the u'th term of -1026, -1028, -1030, -1032? -2*u - 1024 What is the f'th term of 28, 21, 14, 7, 0, -7? -7*f + 35 What is the w'th term of 28, 45, 60, 73, 84? -w**2 + 20*w + 9 What is the s'th term of 27, 39, 53, 69, 87, 107? s**2 + 9*s + 17 What is the z'th term of 1609, 1607, 1605, 1603? -2*z + 1611 What is the k'th term of -2, -7, -12? -5*k + 3 What is the v'th term of -101, -107, -123, -155, -209, -291, -407, -563? -v**3 + v**2 - 2*v - 99 What is the z'th term of -971, -973, -975, -977, -979? -2*z - 969 What is the j'th term of -267, -528, -785, -1038, -1287? 2*j**2 - 267*j - 2 What is the n'th term of -959, -957, -955? 2*n - 961 What is the u'th term of -230, -444, -644, -824, -978, -1100, -1184? u**3 + u**2 - 224*u - 8 What is the j'th term of -25, -122, -387, -904, -1757? -14*j**3 + j - 12 What is the l'th term of 839, 1674, 2507, 3338, 4167, 4994, 5819? -l**2 + 838*l + 2 What is the w'th term of -90, -171, -274, -411, -594, -835, -1146? -2*w**3 + w**2 - 70*w - 19 What is the k'th term of 5, 52, 129, 236? 15*k**2 + 2*k - 12 What is the c'th term of -71, -132, -179, -206, -207, -176, -107? c**3 + c**2 - 71*c - 2 What is the k'th term of 50, 167, 354, 605, 914, 1275, 1682, 2129? -k**3 + 41*k**2 + k + 9 What is the u'th term of -24, -34, -48, -66? -2*u**2 - 4*u - 18 What is the u'th term of 7, -7, -21, -35? -14*u + 21 What is the k'th term of 2, 28, 102, 248, 490, 852, 1358, 2032? 4*k**3 - 2*k What is the b'th term of -246, -253, -256, -255? 2*b**2 - 13*b - 235 What is the t'th term of 1258, 1259, 1260, 1261, 1262, 1263? t + 1257 What is the d'th term of 57, 55, 49, 39, 25, 7? -2*d**2 + 4*d + 55 What is the b'th term of -156, -155, -156, -159? -b**2 + 4*b - 159 What is the z'th term of -1397, -1399, -1401, -1403? -2*z - 1395 What is the i'th term of 59, 194, 559, 1268, 2435, 4174, 6599? 19*i**3 + i**2 - i + 40 What is the d'th term of -4, 6, 18, 32, 48, 66, 86? d**2 + 7*d - 12 What is the c'th term of 1018, 2032, 3046, 4060, 5074, 6088? 1014*c + 4 What is the h'th term of -86, -105, -138, -191, -270, -381, -530, -723? -h**3 - h**2 - 9*h - 75 What is the o'th term of -67, -133, -243, -397, -595, -837? -22*o**2 - 45 What is the x'th term of -89, -10, 123, 310? 27*x**2 - 2*x - 114 What is the y'th term of -17, -4, 31, 100, 215, 388, 631? 2*y**3 - y**2 + 2*y - 20 What is the w'th term of 243, 871, 1917, 3381, 5263? 209*w**2 + w + 33 What is the v'th term of -24, -40, -66, -102, -148? -5*v**2 - v - 18 What is the v'th term of 221, 224, 227, 230, 233, 236? 3*v + 218 What is the m'th term of 161, 664, 1503, 2678, 4189, 6036, 8219? 168*m**2 - m - 6
{ "pile_set_name": "DM Mathematics" }
common multiple of 33340 and 725? 4834300 What is the smallest common multiple of 20826 and 90? 104130 Calculate the common denominator of -123/21430 and -79/16. 171440 Calculate the smallest common multiple of 50 and 6165. 61650 Calculate the common denominator of -67/2937 and 65/267. 2937 Calculate the smallest common multiple of 106647 and 38. 213294 Find the common denominator of -101/71744 and 25/76. 71744 Calculate the common denominator of 3/112424 and -133/168636. 337272 Calculate the smallest common multiple of 601152 and 80. 3005760 Calculate the common denominator of -59/58800 and 22/343. 411600 Calculate the lowest common multiple of 1011072 and 789900. 25276800 Find the common denominator of -7/65 and -49/11973. 59865 Calculate the common denominator of 10/45461 and -79/4. 181844 Find the common denominator of 87/557900 and -31/200. 1115800 What is the common denominator of 149/90 and 93/1496? 67320 Calculate the common denominator of -131/18522 and -13/127596. 1148364 Calculate the least common multiple of 1867446 and 21. 1867446 What is the least common multiple of 12 and 107024? 321072 What is the common denominator of 49/82603 and 10/1017? 743427 What is the common denominator of -15/4 and 25/105148? 105148 Find the common denominator of -167/1020 and 55/147. 49980 Calculate the common denominator of -79/8283 and 121/453306. 4986366 Calculate the least common multiple of 6 and 3468. 3468 What is the least common multiple of 3118 and 32? 49888 Calculate the lowest common multiple of 771 and 1152. 296064 What is the common denominator of 21/17152 and -31/3216? 51456 What is the common denominator of 109/256284 and -13/73224? 512568 Calculate the common denominator of 103/90 and -67/11090. 99810 Find the common denominator of -11/170 and -29/1454. 123590 Calculate the common denominator of 29/5 and 19/5143. 25715 What is the least common multiple of 2016 and 42? 2016 Calculate the lowest common multiple of 50964 and 84940. 254820 What is the lowest common multiple of 17745 and 1365? 17745 Calculate the smallest common multiple of 65646 and 281340. 1969380 Find the common denominator of -13/256 and -15/9088. 18176 Find the common denominator of 111/40 and 23/4620. 9240 Calculate the least common multiple of 29745 and 29745. 29745 What is the common denominator of -21/61000 and -83/360? 549000 Find the common denominator of -43/30 and 67/41322. 206610 What is the common denominator of 19/11 and -93/4036? 44396 What is the common denominator of -7/192720 and 23/48? 192720 Calculate the least common multiple of 12079 and 12. 144948 What is the smallest common multiple of 11853 and 35559? 35559 Find the common denominator of -113/2145 and 57/143. 2145 What is the least common multiple of 16 and 48744? 97488 Find the common denominator of 59/200 and -7/149. 29800 What is the smallest common multiple of 5489 and 286? 142714 What is the common denominator of 71/36546 and -77/30? 182730 Calculate the least common multiple of 2 and 94046. 94046 What is the lowest common multiple of 1240 and 111848? 559240 Find the common denominator of -57/191024 and -127/24. 573072 Calculate the least common multiple of 8387 and 1. 8387 Find the common denominator of -27/6370 and 117/980. 12740 Calculate the smallest common multiple of 348 and 26852. 2336124 What is the common denominator of 109/5782 and 111/4130? 28910 Calculate the smallest common multiple of 5176 and 1118663. 8949304 Calculate the common denominator of -1/2205 and -4/1155. 24255 What is the least common multiple of 2610 and 200? 52200 What is the common denominator of -203/10140 and -95/16224? 81120 What is the common denominator of -55/2 and -19/277094? 277094 Calculate the common denominator of 99/92936 and -11/24. 278808 What is the smallest common multiple of 304 and 214? 32528 Calculate the common denominator of -19/180 and -53/13812. 207180 Find the common denominator of 50/15771 and -61/284. 4478964 Calculate the lowest common multiple of 2240 and 85696. 2999360 Calculate the common denominator of -105/22 and -71/50842. 50842 What is the common denominator of 71/174 and 5/28101? 56202 What is the common denominator of 31/9747 and -151/454860? 1364580 What is the least common multiple of 31438 and 924? 1320396 What is the common denominator of 129/4340 and -89/154? 47740 What is the common denominator of -121/20 and 53/9780? 9780 Find the common denominator of -79/4125 and 73/120. 33000 Calculate the least common multiple of 30 and 5781. 57810 Find the common denominator of -145/1602 and 67/20. 16020 Calculate the least common multiple of 3852 and 27. 11556 Calculate the common denominator of -117/30200 and -143/300. 90600 Calculate the lowest common multiple of 14610 and 150. 73050 Calculate the smallest common multiple of 33 and 61365. 675015 Find the common denominator of -9/3956 and -33/161. 27692 What is the smallest common multiple of 12 and 33933? 135732 What is the lowest common multiple of 30 and 9729? 97290 What is the common denominator of -81/76 and -131/4788? 4788 What is the common denominator of 11/510 and -79/234? 19890 Calculate the common denominator of -70/513 and -163/7524. 22572 Find the common denominator of -157/336420 and -107/3360. 2691360 Calculate the least common multiple of 122325 and 2175. 3547425 Calculate the least common multiple of 582372 and 6. 582372 Find the common denominator of 23/49738 and 19/6. 149214 Calculate the common denominator of 41/5450 and 107/3270. 16350 Calculate the common denominator of -23/22455 and 127/24. 179640 What is the lowest common multiple of 12 and 58774? 352644 What is the least common multiple of 15444 and 5616? 61776 What is the smallest common multiple of 16245 and 15675? 893475 What is the common denominator of 65/836772 and 79/18? 2510316 Calculate the least common multiple of 288024 and 2. 288024 What is the common denominator of -37/9 and -47/24007? 216063 Find the common denominator of 49/9704 and -95/96. 116448 Find the common denominator of 125/156636 and 149/228. 156636 Calculate the lowest common multiple of 12250 and 49150. 12041750 What is the lowest common multiple of 38965 and 833851? 4169255 What is the lowest common multiple of 414 and 1366844? 12301596 Calculate the least common multiple of 2250 and 143750. 1293750 Calculate the lowest common multiple of 8 and 113044. 226088 What is the common denominator of -9/88 and 101/3752? 41272 What is the smallest common multiple of 13196 and 3324? 10965876 What is the lowest common multiple of 89898 and 10? 449490 Calculate the lowest common multiple of 1349433 and 3816. 10795464 Calculate the smallest common multiple of 1395 and 9. 1395 What is the smallest common multiple of 48 and 157728? 157728 Find the common denominator of 15/561136 and -17/66016. 1122272 Calculate the common denominator of 95/12 and 68/41373. 165492 What is the common denominator of -83/340 and -10/106029? 2120580 Calculate the lowest common multiple of 148635 and 165. 1634985 Calculate the least common multiple of 35479 and 8348. 141916 Calculate the common denominator of -16/4565 and -53/10043. 50215 What is the common denominator of -97/6 and -13/760332? 760332 Find the common denominator of -22/29055 and -13/22350. 290550 Calculate the least common multiple of 7102 and 265. 35510 What is the common denominator of -1/66416 and 89/24? 199248 What is the common denominator of 79/820066 and 27/2? 820066 Calculate the least common multiple of 42077 and 42077. 42077 Calculate the common denominator of -73/150 and -137/3102. 77550 Find the common denominator of -81/8248 and -99/2538322. 10153288 Calculate the least common multiple of 7680 and 24960. 99840 Calculate the common denominator of 41/2405483 and -17/141499. 2405483 Find the common denominator of 29/31143 and -37/216. 2242296 Calculate the common denominator of -23/17120 and -69/28. 119840 Calculate the least common multiple of 555 and 1110. 1110 What is the common denominator of 15/3638 and 137/174624? 174624 Calculate the common denominator of -35/3 and -77/38088. 38088 What is the smallest common multiple of 584 and 10684? 1559864 What is the smallest common multiple of 20 and 79020? 79020 Calculate the smallest commo
{ "pile_set_name": "DM Mathematics" }
nd derivative of i**4/12 - 3*i**3/2 - 2*i**2 - 22*i. What is c(n)? -12 Let z(x) be the second derivative of 0 - 5/6*x**3 + 3*x**2 + 41*x - 1/12*x**4. Suppose -2*q + 0 = 3*m + 1, 11 = -4*q - 3*m. Calculate z(q). 6 Suppose 5*j = 2*w - 19986 - 3910, 0 = 4*w + 4*j - 47848. Let p(r) = r + w*r**2 - 4*r - 11963*r**2 + 2. What is p(1)? -6 Let i be (-1)/(4/(-3) - -1). Let u(g) be the second derivative of -g**3/6 - 2*g**2 + 21*g - 46. Calculate u(i). -7 Let m(b) = -5*b. Let q be m(-1). Let v(c) = -26*c - 148. Let i be v(-7). Let w(t) = 43 + t + 38 + i - 117. Give w(q). 3 Let f(g) = 1580*g + 17376. Let v be f(-11). Let b(k) be the second derivative of k**4/12 + k**3/3 + k**2/2 + 3*k. Calculate b(v). 9 Let m(z) = -z**3 - 71*z**2 - 79*z - 618. Let x be m(-70). Let d(g) = 8*g - 66. Determine d(x). 30 Let s(i) = 49*i - 195. Let b be s(4). Let d be (-6)/9 - 10/(-6). Let k(z) = 0*z + 2*z**2 - 2*z + d + 0. Give k(b). 1 Suppose 76*v - 1005 - 435 = -14*v. Let n(p) be the third derivative of -4/3*p**3 + 0*p + 0 + v*p**2 - 1/24*p**4. Calculate n(6). -14 Let y(j) = -3*j - 6. Let k(v) = v**2 + 8*v - 2. Let c be k(-8). Let o be y(c). Suppose -2*z - i - 3 = o, -z = 2*z + 3*i. Let a(w) = 5*w + 2. Determine a(z). -13 Let m(o) = o**2 + 14*o + 5. Suppose -33 = -7*f + 2. Let d be (f/(-10))/((-2)/(-52)). Calculate m(d). -8 Let l(w) = -w**2 + 9*w + 13. Let d(x) = -x**3 - 12*x**2 - 27*x + 48. Let y be d(-7). Determine l(y). -123 Suppose -7 = -s - 3. Suppose -130 = s*r - 14*r. Let l(h) = r + 10*h - 12 - 7*h. Calculate l(-4). -11 Let m(i) = 5*i + 2. Let p(f) = 10*f + 5. Let r(a) = -5*m(a) + 2*p(a). Let g(x) = x + 9. Let d be (3 - 28/20)*5*-1. Let b be g(d). What is r(b)? -5 Let c(y) = 18 + 5*y - 56*y**2 + 2*y**3 - 73*y**2 + 98*y**2. What is c(15)? -132 Let h(r) = -7*r**2 - 38*r - 115. Let y(z) = -3*z**2 - 19*z - 57. Let q(s) = 2*h(s) - 5*y(s). Calculate q(-16). 7 Let l(z) = -579 - z**2 + 299 + 0*z - 14*z + 284. What is l(-7)? 53 Let w(n) = 5*n - 2. Let f(z) = 2*z - 1. Let i(c) = 5*f(c) - 3*w(c). Suppose -28 = 5*y - 5*r - 33, -y + 1 = -5*r. Determine i(y). -4 Let s(o) = -9*o + 4. Let k(a) be the third derivative of -7*a**4/24 + 2*a**3/3 + 130*a**2. Let g(f) = -4*k(f) + 3*s(f). Let p = 16 - 8. Calculate g(p). 4 Let m(j) be the third derivative of -1/60*j**5 + 0*j + 0 + 17*j**2 + 2/3*j**3 - 1/8*j**4. Calculate m(-3). 4 Let i = -9 + 13. Let w(q) = -6*q + 1. Let u(v) = -13*v + 8. Let s(m) = -u(m) + 2*w(m). Give s(i). -2 Let p(b) = 5*b**2. Let j be p(-1). Suppose -8 = j*k + 12. Let n(g) be the third derivative of -g**6/120 - g**5/30 + g**4/12 - 5*g**3/6 + g**2. Give n(k). 19 Let x(v) = 3*v**2 - v. Suppose 0 = 2*r + 8, -5*r = -0*z - 3*z + 29. Let b be (22/(-33))/((-2)/z). Let a be b/3 - (-3 + (-14)/(-6)). Determine x(a). 2 Let w(n) = 2. Suppose 2284*h - 2282*h = -2. Let a(k) = -k**2 - 6*k + 7. Let o(i) = h*a(i) + 4*w(i). Let j = -8 - -3. Determine o(j). -4 Let x(n) = -13*n - 10. Let k(o) = o**2 + o. Let p(l) = k(l) + x(l). Let q be p(13). Let b(a) = -4*a**2 + q - 1 - 1. Give b(-1). -3 Suppose 4*a = -8, -25*d + 3*a = -23*d - 338. Let x(n) = n**3 - 3*n**2 - n**3 + n**3 + 2*n + d - 163. Suppose 0 = 2*w - 0*w - 6. What is x(w)? 9 Suppose -2*s - 4 + 10 = 0. Let h(d) = 3*d**3 - 4*d**2 - 2*d**2 - d**2 + 8. Let p(t) = 2*t**3 - 4*t**2 + 4. Let m(j) = s*h(j) - 5*p(j). What is m(0)? 4 Let h be (49/(29792/(-285)))/(-9*2/8). Let p(f) be the third derivative of -1/15*f**5 + 0*f + 24*f**2 + h*f**4 + 0 - 1/120*f**6 - 1/2*f**3. What is p(-5)? -3 Let h(o) = -13*o - 43. Let t be h(-3). Let i(r) = 0*r + r**3 - 2*r**2 + 120 + 5*r**2 - 123 - r + 0*r. Calculate i(t). -15 Let l(v) = -v + 1. Suppose -2*i + 6 = 2. Suppose -3*s + 9 = -2*y, 4*s - i*s + 4*y - 6 = 0. What is l(s)? -2 Let o(l) = 3*l**3 + 3*l**2 - 3*l - 1. Let b be o(-2). Let m be (1834 - -1) + (3 - 3/(-3)). Let z(x) = 0 + 3 - m*x**3 + 1838*x**3 - 6*x - 8*x**2. Calculate z(b). -4 Let x(t) = 112*t**3 - 5*t**2 + 2*t. Let w be x(2). Let b(l) = -878*l - 9 - w*l + 1757*l. What is b(-9)? 0 Let t(o) be the second derivative of o**3/3 - 2*o**2 - 9*o. Suppose -48*v = -50*v + 12. Determine t(v). 8 Let k(f) be the second derivative of f**5/20 - 5*f**4/6 + f**3/3 - 3*f**2 + 1319*f. Determine k(9). -69 Let x(i) = 2*i + 19. Suppose -20*o = -15*o + n + 18, -4*n + 24 = -4*o. Calculate x(o). 11 Let f = 74 - 66. Suppose f = -5*w + 33. Let t be (-3)/w + (-30)/(-50). Let b(o) = o**2 - 4. Determine b(t). -4 Let a(i) = -2*i - 62. Let j(d) = -7*d - 194. Let x(c) = 10*a(c) - 3*j(c). What is x(20)? -18 Let z(m) = 13*m**2 + 2*m - 1. Let q(r) = 2*r**2 - r. Let y(t) = -2*q(t) - z(t). Calculate y(-1). -16 Let y(n) = -n**3 + 10*n**2 + 3*n - 2. Let m = 3440 + -3430. What is y(m)? 28 Let p(z) be the third derivative of -z**5/30 + z**4/2 - 23*z**3/6 + 332*z**2. Give p(4). -7 Let k(a) = 3*a**3 + 24*a**2 + 3*a + 4. Let n(m) = -4*m**3 - 25*m**2 - 4*m - 5. Let c(z) = -5*k(z) - 4*n(z). Determine c(20). 20 Let r(b) = -b**2 - 16*b + 33. Let f = 2001 + -2020. Determine r(f). -24 Let f(x) = -28*x - 4. Let r(n) = -25*n + 4. Let h be r(0). What is f(h)? -116 Suppose 9*q + 24 = 13*q. Suppose 0 = -2*l - 2*l + 28. Let u(b) = q*b - l*b - 1 - 3. Determine u(0). -4 Suppose 0 = 2*h - 9*h + 1071. Let j(x) = -2*x - x - 158 + h. What is j(-3)? 4 Let h(u) = -7 - 11*u + 670*u**2 - 169*u**2 - 172*u**2 - 165*u**2 - 163*u**2. Let v = 58 + -47. What is h(v)? -7 Let y be -10 - ((-250)/10 + 10). Let b(t) be the second derivative of t**4/24 + t**2 + 2*t. Let q(x) be the first derivative of b(x). Determine q(y). 5 Let c(p) = 5*p - 3816*p**2 + 3815*p**2 + 4*p - 15. Calculate c(9). -15 Let j(q) = -3*q**3 - q**2. Let x(g) = -9*g + 64. Let m = -92 - -97. Let z be 21/15*(10 - m). Let o be x(z). Give j(o). -4 Let k(v) = -24*v - 57. Let m(l) = -37*l - 67. Let z(f) = 8*k(f) - 5*m(f). What is z(-16)? -9 Let w(n) = 4 - 1788*n + 5283*n - 1774*n - 1761*n. Determine w(-2). 84 Let x(v) = -2*v**2 + 101*v - 248. Let o be x(48). Let j(q) = -q - 3. Calculate j(o). 5 Let p(z) be the first derivative of -z**4/4 + 2*z**3 - 7*z**2/2 + z + 86. Suppose -6*a + 9 = -3*a. Suppose a*m - 20 = -y, 10 = m + 5*y - 20. Give p(m). -9 Suppose 0 = -43*c + 1886 - 1972. Let x(o) = -150*o - 304. Determine x(c). -4 Suppose 0*u + u - 4*m - 66 = 0, 3*m = 9. Let v = 82 - u. Let x(f) = v*f - 1 - f + 8*f - 4*f. Determine x(1). 6 Let x(d) = -2*d**3 - 12*d**2 - 11*d + 2. Let v(s) = 5*s**3 + 26*s**2 + 22*s - 3. Let j be 6/9 - (-598)/(-78). Let z(t) = j*x(t) - 3*v(t). What is z(7)? 23 Let u(h) = -h**2 - 2 + 1 - 8*h + 5*h. Suppose t + 2*d = -2, -t - 50 = -d - 42. What is u(t)? -19 Let o = 277 - 275. Suppose 57 = o*a + 37. Let l(h) = -2*h + 10. Determine l(a). -10 Let r(k) = k**3 - 2*k**2 - 13*k + 1. Let i(s) = 26*s**2 + 48*s - 20. Let c(t) = i(t) - r(t). Calculate c(30). 9 Let p(l) = -3*l**2 - 34*l - 11. Let i be p(-11). Let c(x) be the first derivative of -x**2/2 + 18*x + 80. What is c(i)? 18 Let c(l) = l**2 + 10*l + 6. Suppose 3*d - 7 = 2*k + 4, 24 = -3*k - 3*d. Let z be k/(28/(-16)) - 12. What is c(z)? -10 Let a(y) = 4*y**2 + 4*y - 22. Let w be a(-6). Let o(x) = -97*x + w*x + 1 - 3. Let v be 480/(-32)*(-2)/5. Give o(v). 4 Suppose -184*h + 188*h = -l + 90, 3*h - l - 64 = 0. Let i(v) = -v**3 + 23*v**2 - 20*v - 26. Determine i(h). 18 Let h(k) = -k + 4. Suppose 208*t = 218*t - 50. Suppose -15 = -t*j, x - j + 15 = -0*j. Calculate h(x). 16 Let l(i) = i**3 + i**2 - 2*i - 44. Suppose -26*n - 6*n = -4*n. Determine l(n). -44 Let d be (-2)/3*483/(-14). Let x = d + -21. Let o be (-5)/(-5)*-1*x. Let t(g) = -g**3 - 2*g**2 - 3*g - 2. Determine t(o). 4 Let s(p) = 133*p - 4 - 3 - 129*p + 2*p**3 - 12*p**2 + 4*p**2 + 2. Give s(5). 65 Let z = 5 + 31. Let n = 77 - z. Suppose -5*i = 4*p + n, 23 = -4*i - 3*p - 9. Let r(c) = -c**2 - 5*c - 7. Calculate r(i). -7 Let i(f) = 4*f + 2. Let g(s) = -2*s - 12. Let m be g(-5). Let x(q) = -5*q - 3. Let v(y) = m*x(y) - 3*i(y). Let b = 1915 - 1918. Calculate v(b). 6 Let p(q) = -4*q - 2. Let n(w) = -5*w - 3. Let t(j) = 3*n(j) - 4*p(j). Let s(b) = -b**2 - 849*b + 12963. Let o be s(15). Give t(o). 2 Let y(k) = -4*k**2 + k. Let o(g) = -3*g**2 - 9*g - 22. Let i(h) = o(h) - y(h). Determine i(18). 122 Let f(s) be the first derivative of s**4 + 2*s**3/3 - 3*s**2/2 + 2*s + 416. What is f(1)? 5 Let y(b) = b**2 + b + 2. Let c(m) = 12*m + 96. Let z be
{ "pile_set_name": "DM Mathematics" }
j**3 - 2*j**2 Let k(z) = 0 - 4 - 2*z - 1. Let b(n) = -1. Calculate -6*b(q) + k(q). -2*q + 1 Let m(a) = -3*a + 3. Let w(v) = v**3 + 7*v**2 - 9*v - 3. Let y be w(-8). Let x(n) = 2*n + 1 - 2 - n. Determine y*x(h) + 2*m(h). -h + 1 Let v(h) = -2*h**3 - 8*h + 4. Let q(d) = d - 1. Give 6*q(z) + v(z). -2*z**3 - 2*z - 2 Let l(w) be the third derivative of w**5/12 + 5*w**4/24 + w**3/3 + w**2. Let q(p) = -p**2 - p - 1. Let x = -75 - -76. Give x*l(d) + 3*q(d). 2*d**2 + 2*d - 1 Let v(n) = 2*n + 9. Let f(o) = -o - 4. What is -5*f(y) - 3*v(y)? -y - 7 Let p(k) = 1 + 3*k - 3 - 7*k. Let r(j) = j. Let u be 2*-1 + -4 + 8. Give u*r(v) + p(v). -2*v - 2 Let y be (-2)/(-4) - (-1)/2. Let u(m) = 1 + y - 2*m + m + 1. Let r(o) = 2*o - 4. Give 2*r(k) + 3*u(k). k + 1 Let r(p) be the second derivative of p**3/6 + p**2/2 + 5*p. Let i(b) = -3. Give i(w) + 2*r(w). 2*w - 1 Let q(c) = -c. Let s(o) = 4*o. Determine -2*q(t) - 2*s(t). -6*t Let o(s) = -2*s + 1. Let f(c) = -1 - 8*c + 5 + 0. Calculate -6*f(h) + 26*o(h). -4*h + 2 Let q(u) = 9*u**2 - 5. Let r(m) = 14*m**2 - 8. Let p = 5 - 10. What is p*r(n) + 8*q(n)? 2*n**2 Let o(i) = i**3 + i**2 - 3*i + 1. Let p(d) = -d**3 - d**2 - d - 1. What is -o(s) - 2*p(s)? s**3 + s**2 + 5*s + 1 Let b(y) = -4*y - 4. Let m(v) = 11*v + 3. Let x(o) = -2*o + 6. Let q be x(5). Let w(n) = 10*n + 4. Let s(a) = q*w(a) + 3*m(a). Give -5*b(j) + 3*s(j). -j - 1 Let l(d) = -4*d**2 - 2*d. Let c(q) = -q. Determine 6*c(t) - 3*l(t). 12*t**2 Let r(m) = 28*m**2 - 18*m - 18. Let k(h) = -h**2 + h + 1. What is 36*k(a) + 2*r(a)? 20*a**2 Let z(a) = -7*a**2 - 3*a - 4. Let v(m) = -21*m**2 - 8*m - 11. What is -4*v(s) + 11*z(s)? 7*s**2 - s Let k(t) = 20*t**2 - 14. Let l(q) = q**2 - 1. What is 2*k(p) - 28*l(p)? 12*p**2 Let f(a) be the first derivative of a**2/2 + 2*a - 20. Let y(i) be the first derivative of -i**2/2 - i - 1. Suppose 4*d = -0*d + 8. Determine d*f(r) + 4*y(r). -2*r Let p(m) = m**2 + m + 1. Let t(r) = 3*r**3 - 3*r**2 - 3*r - 3. Determine -3*p(j) - t(j). -3*j**3 Let w(o) = 1189*o + 164. Let y(q) = 36*q + 5. Calculate -5*w(n) + 164*y(n). -41*n Let g(w) = -6*w**2 - 9. Let s(z) = -z**3 + 10*z**2 + 11*z - 3. Let l be s(11). Let i(y) = 3*y**2 + 5. Give l*g(t) - 5*i(t). 3*t**2 + 2 Let z(k) = k - 2. Let n(t) be the first derivative of -t**2 + 3*t + 4. Let d be 8/(-28) + 32/14. Calculate d*n(q) + 3*z(q). -q Let t(a) = 0*a**2 - a**2 + a**2 - 2*a + 3*a**2 - 3. Let u(o) = 10*o**2 - 6*o - 9. Calculate -7*t(b) + 2*u(b). -b**2 + 2*b + 3 Let q(g) = -4*g**3 + 6*g - 4. Let t(y) = -2*y**3 + 3*y - 2. What is -4*q(l) + 7*t(l)? 2*l**3 - 3*l + 2 Let c(h) = -2*h + 1 + 4*h + 0. Let r(g) = -19*g + 26*g - 5*g + 2. Let f = -8 - -12. Give f*c(y) - 3*r(y). 2*y - 2 Let f(s) = -2*s + 2. Let r(u) = 3*u - 1. Give -5*f(d) - 4*r(d). -2*d - 6 Let q(s) = -3 - 4 - 2 + 3 - 5*s. Let d(o) = 5*o + 7. Give 4*d(r) + 5*q(r). -5*r - 2 Let p(l) = 1. Let j(b) = 4*b + 6. Let i(h) = j(h) - 2*p(h). Let v(o) = -5*o + 0 - 4 + 1 - 2. What is -4*i(g) - 3*v(g)? -g - 1 Let v(u) = u + 5. Let z(y) = 2*y + 10. Give 5*v(t) - 2*z(t). t + 5 Let j(y) = -15*y + 9. Let v(g) = -4*g + 2. Determine 2*j(b) - 9*v(b). 6*b Let q(i) = -5*i**2 - 50*i + 3. Let j be q(-10). Let g(s) = -2 + s**2 + 2 + 1. Let d(r) = -1. What is j*g(w) + 3*d(w)? 3*w**2 Let s(o) be the first derivative of -o**4/2 + o**2 + 8. Let f(y) = -y. Let c = -9 + 8. Calculate c*s(g) + f(g). 2*g**3 - 3*g Let c(n) = -n - 3. Let o be c(-6). Let f(b) be the second derivative of 0 + 5/6*b**3 - 1/2*b**2 - 7*b. Let u(z) = -6*z + 1. What is o*u(i) + 4*f(i)? 2*i - 1 Let m(s) = -39*s + 11. Let y(p) = -20*p + 6. What is 6*m(a) - 11*y(a)? -14*a Let z(o) = -4*o**2 + 6*o + 3. Let w(r) = r**2 - r - 1. Let v(d) = 3*w(d) + z(d). Let c(s) = s. Determine -4*c(k) + v(k). -k**2 - k Let q(j) = -j + 4. Let s(y) = 4. Calculate 2*q(f) - 3*s(f). -2*f - 4 Let h(u) = 4*u + 7. Let s(w) = 3*w + 6. Suppose -4 = 5*y - 29. Let m = -14 + 8. Determine m*s(t) + y*h(t). 2*t - 1 Let w(g) = g**2 + g + 7. Let z(l) = -3*l**2 - 3*l - 15. Determine -5*w(n) - 2*z(n). n**2 + n - 5 Let g(p) = -3*p**2 + 5*p - 6. Let c(v) = 2*v**2 - 4*v + 5. What is -5*c(i) - 4*g(i)? 2*i**2 - 1 Let u(b) = -b. Let p(j) = 2*j**2 - 2*j. Suppose 2*r + 9 = 3*g, 3*g - 2*g + 8 = -3*r. Determine g*p(q) - 4*u(q). 2*q**2 + 2*q Suppose 4*c - 5*a + 27 = 0, 2*c + 0*a = 4*a - 18. Let u(s) = -s + 1. Let f(n) = 5*n - 7. Let y(t) = -f(t) - 3*u(t). Let m(o) = o - 1. Give c*m(r) - y(r). -r - 1 Let c(p) = -13*p**2 - 5*p - 5. Let y(o) = -12*o**2 - 5*o - 5. Let b(n) = 6*c(n) - 7*y(n). Let v(h) = 3*h**2 + 2*h + 2. Determine 2*b(g) - 5*v(g). -3*g**2 Let u(r) = -2 - 2*r**2 - 9*r**3 + 39*r**3 - 17*r**3 - 11*r**3. Let z(l) = 2*l**3 - 3*l**2 - 3. What is 3*u(n) - 2*z(n)? 2*n**3 Let i(g) = -10*g**2 - 10*g - 9. Let v(t) = t. Let f(d) = d**2 + 1. Let j(z) = f(z) + v(z). What is -2*i(k) - 18*j(k)? 2*k**2 + 2*k Let k(n) = -6. Let b(i) = -i + 7. Determine -4*b(w) - 5*k(w). 4*w + 2 Let o(s) = -s**3 - 5*s**2 + 10. Let d be (-2 - (-21)/(-6)) + (-4)/(-8). Let j(a) = -a**3 - 6*a**2 + 11. Determine d*j(k) + 6*o(k). -k**3 + 5 Let j(x) = 4*x + 2. Let v(p) = 3*p + 3. Determine -6*j(i) + 5*v(i). -9*i + 3 Let f(c) = c**3 - 2*c + 2. Suppose 0 = -7*d + 5*d + 6. Let g(b) = -3*b + 2. What is d*f(v) - 2*g(v)? 3*v**3 + 2 Let r(j) = 636 - 629 - j**3 + 4*j**3. Let k(y) = y**3 + 2. What is -21*k(p) + 6*r(p)? -3*p**3 Let l(o) = -o + 1. Let p(x) = 33*x**3 - x**2 - 5*x + 5. Calculate 5*l(n) - p(n). -33*n**3 + n**2 Let j(b) = 19*b + 26*b**2 - 9*b + 6*b. Suppose -86 = 2*g + 3*g + 3*f, -72 = 3*g - 5*f. Let h = g + 35. Let u(d) = 5*d**2 + 3*d. Calculate h*u(z) - 3*j(z). 2*z**2 Let b(s) = s - 2. Let n be b(1). Let a(y) = -2 - 1 + 2. Let d(q) = -q**2 + 1. Let c(p) = 8*p**2 - p - 3. Let r(w) = -c(w) - 6*d(w). Give n*a(x) + r(x). -2*x**2 + x - 2 Let n(v) = -10*v + 2. Let z(l) = l. What is -2*n(k) - 18*z(k)? 2*k - 4 Let a(j) = 9*j**3 + 2*j + 12. Let r(u) = 4*u**3 + u + 6. Determine 3*a(m) - 7*r(m). -m**3 - m - 6 Suppose 3*k + 0*k = 15. Suppose k*h - 16 = 19. Let a(u) be the first derivative of 13*u**2/2 + 10*u - 17. Let v(y) = -4*y - 3. What is h*v(l) + 2*a(l)? -2*l - 1 Let g(n) = 2*n + 2. Let u(m) = 4*m + 9 - 3*m - m - 2*m. Let p be u(6). Let l(d) = -d - 1. Determine p*g(v) - 8*l(v). 2*v + 2 Let z(r) = -5*r + 2. Let d(n) = 20*n + 5 - 4 - 23*n. Determine 8*d(b) - 5*z(b). b - 2 Let i(u) = -17*u**2 - 14*u + 28. Let h(j) = 11*j**2 + 9*j - 19. Let f(r) = 7*h(r) + 5*i(r). Let n(t) = -23*t**2 - 20*t + 20. Give -17*f(v) + 6*n(v). -2*v**2 - v + 1 Let u(v) = -v**3 + v**2 + v - 1. Let p(h) = -8*h**3 + 5*h**2 + 5*h - 5. Suppose 0 = 31*q - 33*q + 10. Calculate q*u(c) - p(c). 3*c**3 Let a(n) = -1 + n + 2*n - 2 - 2*n. Let k be a(5). Let g(d) = d**2 - 8*d - 9. Let b(c) = 2*c + 2. Calculate k*g(r) + 9*b(r). 2*r**2 + 2*r Let k(y) = y**2 - y + 1. Let q(n) = 8*n**2 - n + 5. What is 3*k(b) - q(b)? -5*b**2 - 2*b - 2 Let r(d) = -d**3 + d**2 + 3. Let a be (-216)/(-10) + 4/10. Let i(b) = b - 1. Let q be i(-5). Let l(v) = -4*v**3 + 4*v**2 + 11. Determine a*r(c) + q*l(c). 2*c**3 - 2*c**2 Let z(q) = 3*q + 3. Let b(c) = c**2 - 17*c - 1. Let p be b(17). Let k(n) = -5*n + 3. Let l(v) = 4*v - 2. Let g(u) = -3*k(u) - 4*l(u). Determine p*z(j) - 2*g(j). -j - 1 Let w(q) = -23*q**3 + 3*q - 23. Let x(z) = 8*z**3 - z + 8. What is -6*w(h) - 17*x(h)? 2*h**3 - h + 2 Let h(j) = -j - 1. Let r(t) = 4. Let s(q) = 4. Let v(b) = 4*r(b) - 5*s(b). Calculate -4*h(k) + v(k). 4*k Let w(j) = -2*j**3 + j**2 + 5*j - 2. Let m(t) = -2*t. Let g(r) = -5*r. Let o(z) = 3*g(z) - 8*m(z). Let c be 1 + (1 - -1 - 2). Determine c*w(s) - 5*o(s). -2*s**3 + s**2 - 2 Let b(a) = -2*a**2 + 2*a - 2. Let m(p) = p**2 - 5*p - 3. Let k be m(5). Let o = 3 - 10. Let g(l) = l**2 - l + 1. What is k*b(u) + o*g(u)? -u**2 + u - 1 Let f(n) = 7*n**2 + 7*n + 1. Let o(h) = 4*h**2 + 4*h + 1. Give -3*f(v) + 5*o(v). -v**2 - v + 2 Let q(c) = c**2 - 1. Let b(g) be the second derivative of -3*g**4/4 + 5*g**2/2 + 45*g. Give -b(p) - 5*q(p). 4*p**2 Let z(c) = c**2. Let q = -40 - -46. Let p(s) = -5*s**2. Calculate q*z(h) + p(h). h**2 Let d(k) = 4*k. Let u(i) = -3*i. Give 4*d(b) + 5*u(b). b Let j(s) = 5*s**2 - 3*s**2 - 4*s**2 + 4. Suppose 3*m = 0, -3*i = i - 4*m + 20. Let a(p) be the first derivative of 2*p**3/3 - 5*p - 1. Give i*j(k) - 4*a(k). 2*k**2 Let d(q) = -q**2 + q + 1. Let g(i) = -3*
{ "pile_set_name": "DM Mathematics" }
common divisor of 97674 and 66. 6 What is the highest common factor of 158467 and 19253? 1481 Calculate the highest common divisor of 87 and 528351. 87 What is the highest common divisor of 1691 and 874? 19 Calculate the highest common divisor of 407 and 3421. 11 Calculate the highest common divisor of 144 and 117378. 18 Calculate the highest common divisor of 5809 and 314. 157 What is the highest common divisor of 36 and 619470? 18 Calculate the highest common divisor of 48 and 23682. 6 Calculate the greatest common factor of 62212 and 1854. 206 Calculate the greatest common factor of 29448 and 246. 6 What is the greatest common divisor of 943 and 13800? 23 Calculate the highest common divisor of 1268906 and 94. 94 Calculate the highest common factor of 72774 and 52. 26 Calculate the highest common factor of 6616 and 530107. 827 What is the highest common factor of 192 and 256692? 12 What is the highest common factor of 5216 and 48? 16 Calculate the highest common divisor of 26055 and 4995. 135 Calculate the highest common divisor of 75775 and 77. 7 What is the highest common divisor of 43665 and 30885? 1065 Calculate the greatest common factor of 1050 and 80650. 50 What is the greatest common divisor of 12 and 157448? 4 Calculate the highest common divisor of 1210 and 36058. 242 Calculate the highest common divisor of 15 and 157479. 3 Calculate the highest common factor of 22 and 1526338. 22 What is the greatest common divisor of 1144 and 12692108? 572 Calculate the highest common divisor of 116 and 493348. 116 What is the highest common divisor of 301323 and 1771? 253 What is the highest common factor of 5236 and 3689? 119 What is the highest common divisor of 14331 and 4437? 51 What is the highest common divisor of 69 and 507? 3 Calculate the greatest common factor of 15 and 279285. 15 What is the greatest common divisor of 1255 and 2761? 251 Calculate the highest common factor of 644 and 197547. 161 What is the highest common factor of 275 and 35? 5 What is the highest common divisor of 472987 and 2361? 787 Calculate the greatest common divisor of 4737184 and 1184. 1184 What is the greatest common factor of 1833622 and 112? 14 Calculate the highest common divisor of 55895 and 105. 35 Calculate the greatest common divisor of 4155316 and 44. 44 What is the highest common divisor of 109582 and 136? 34 What is the highest common factor of 43559 and 16727? 43 Calculate the highest common factor of 565 and 439570. 565 What is the highest common divisor of 36869 and 23? 23 Calculate the greatest common factor of 9193 and 273254. 317 Calculate the greatest common divisor of 904945 and 237. 79 What is the greatest common factor of 14 and 217490? 14 What is the highest common factor of 29440 and 68608? 256 What is the highest common divisor of 1426 and 10292? 62 What is the greatest common factor of 60 and 90996? 12 What is the greatest common factor of 108 and 588? 12 Calculate the greatest common divisor of 15125 and 200. 25 What is the greatest common divisor of 260 and 325585? 65 What is the greatest common factor of 912 and 60432? 48 What is the highest common divisor of 10089 and 99? 9 Calculate the greatest common factor of 93 and 9641. 31 Calculate the greatest common divisor of 55007 and 134. 67 Calculate the greatest common divisor of 768 and 15104. 256 Calculate the highest common divisor of 12 and 19131. 3 What is the highest common divisor of 435 and 7440? 15 What is the highest common divisor of 2058 and 813596? 686 What is the highest common factor of 1032 and 22016? 344 Calculate the greatest common factor of 20246 and 39538. 106 What is the greatest common divisor of 272 and 7514? 34 Calculate the highest common divisor of 117 and 257139. 9 Calculate the highest common divisor of 4179 and 2751. 21 Calculate the highest common divisor of 32 and 450976. 32 What is the greatest common divisor of 10350 and 86825? 575 What is the highest common divisor of 2301 and 426036? 39 What is the greatest common factor of 1017 and 27? 9 Calculate the highest common divisor of 1284 and 1908. 12 What is the greatest common factor of 523480 and 345? 115 Calculate the highest common factor of 7440 and 10320. 240 What is the greatest common factor of 175 and 34293? 7 What is the greatest common factor of 1124 and 27819? 281 What is the greatest common divisor of 17818 and 38656? 302 Calculate the greatest common divisor of 279 and 204507. 279 Calculate the greatest common factor of 737 and 105127. 11 What is the greatest common divisor of 46190 and 520? 10 What is the greatest common divisor of 5962 and 770? 22 What is the greatest common factor of 658648 and 493? 493 What is the greatest common factor of 68 and 82212? 68 What is the highest common factor of 3 and 346059? 3 Calculate the highest common factor of 47946 and 4978. 262 What is the highest common divisor of 111611 and 2? 1 What is the highest common divisor of 540 and 228780? 180 Calculate the highest common factor of 516 and 27133. 43 What is the greatest common factor of 285 and 169005? 285 Calculate the highest common divisor of 19940 and 5. 5 What is the greatest common factor of 19240 and 1665? 185 Calculate the greatest common factor of 348 and 3981. 3 What is the highest common factor of 318 and 10821? 3 What is the greatest common factor of 3901808 and 112? 16 What is the greatest common factor of 87594 and 234? 78 Calculate the greatest common divisor of 2996918 and 978. 326 What is the highest common factor of 98880 and 1984? 64 Calculate the highest common divisor of 117 and 391521. 39 What is the highest common factor of 473 and 13? 1 Calculate the greatest common divisor of 1860 and 195. 15 What is the greatest common divisor of 119138 and 142? 142 What is the greatest common divisor of 16 and 129888? 16 Calculate the highest common divisor of 55018 and 6. 2 Calculate the highest common divisor of 2694 and 12. 6 What is the greatest common divisor of 1406 and 11077? 19 Calculate the highest common factor of 8545255 and 2165. 2165 Calculate the greatest common divisor of 168 and 29694. 42 Calculate the highest common factor of 1038210 and 30. 30 Calculate the highest common divisor of 4635 and 90. 45 Calculate the greatest common divisor of 473115 and 15. 15 What is the highest common divisor of 4771968 and 6880? 1376 Calculate the greatest common factor of 209 and 16247. 11 What is the greatest common factor of 124 and 64511? 31 Calculate the greatest common factor of 55 and 4344395. 55 What is the greatest common factor of 48 and 193464? 24 What is the highest common factor of 37260 and 600? 60 What is the highest common divisor of 170 and 50580? 10 Calculate the highest common factor of 248 and 3726324. 124 What is the highest common factor of 9100 and 247? 13 Calculate the greatest common factor of 588 and 36603. 147 Calculate the greatest common divisor of 3 and 23631. 3 What is the greatest common divisor of 35552 and 505? 101 What is the highest common factor of 8168 and 5490938? 2042 What is the greatest common factor of 8115 and 420? 15 Calculate the greatest common divisor of 182 and 32074. 14 Calculate the greatest common factor of 24756 and 36. 12 Calculate the highest common divisor of 18326 and 18445. 119 Calculate the highest common divisor of 20960 and 2104. 8 What is the greatest common divisor of 36 and 13806? 18 Calculate the highest common factor of 3544 and 216. 8 Calculate the highest common divisor of 1919384 and 395. 79 What is the greatest common factor of 30336 and 4898? 158 What is the greatest common factor of 13916 and 67876? 284 What is the highest common divisor of 128 and 39464? 8 Calculate the greatest common divisor of 96 and 184672. 32 Calculate the greatest common divisor of 3080 and 22715. 385 What is the highest common divisor of 14570 and 10? 10 Calculate the highest common factor of 152888 and 232. 232 What is the highest common divisor of 1568 and 404320? 224 What is the highest common factor of 216 and 332? 4 Calculate the highest common divisor of 6308 and 532. 76 Calculate the highest common factor of 1754605 and 515. 515 Calculate the greatest common divisor of 42 and 211638. 42 Calculate the highest common divisor of 50680 and
{ "pile_set_name": "DM Mathematics" }
actors of 40555? 5, 8111 What are the prime factors of 373105? 5, 71, 1051 What are the prime factors of 263066? 2, 31, 4243 List the prime factors of 838978. 2, 7, 1223 What are the prime factors of 58166? 2, 127, 229 What are the prime factors of 603781? 603781 What are the prime factors of 237404? 2, 59351 What are the prime factors of 5097520? 2, 5, 63719 List the prime factors of 4460839. 19, 234781 What are the prime factors of 795635? 5, 227, 701 What are the prime factors of 8076613? 271, 29803 What are the prime factors of 45430? 2, 5, 7, 11, 59 What are the prime factors of 786434? 2, 11, 35747 What are the prime factors of 259065? 3, 5, 19, 101 List the prime factors of 1781930. 2, 5, 73, 2441 What are the prime factors of 1618831? 1618831 What are the prime factors of 2785332? 2, 3, 11, 21101 What are the prime factors of 10706495? 5, 2141299 What are the prime factors of 4940335? 5, 988067 What are the prime factors of 882234? 2, 3, 23, 2131 What are the prime factors of 133128? 2, 3, 43 List the prime factors of 206788. 2, 17, 3041 What are the prime factors of 22585272? 2, 3, 137, 6869 What are the prime factors of 2278534? 2, 37, 41, 751 List the prime factors of 413270. 2, 5, 11, 13, 17 List the prime factors of 231349. 231349 List the prime factors of 6256323. 3, 17, 103, 397 List the prime factors of 44715. 3, 5, 11, 271 What are the prime factors of 8481652? 2, 317, 6689 What are the prime factors of 17321231? 23, 71, 10607 What are the prime factors of 339280? 2, 5, 4241 List the prime factors of 603092. 2, 7, 17, 181 List the prime factors of 409902. 2, 3, 53, 1289 List the prime factors of 7798151. 19, 257, 1597 What are the prime factors of 3866367? 3, 19, 29, 2339 What are the prime factors of 15098381? 3137, 4813 What are the prime factors of 332102? 2, 47, 3533 What are the prime factors of 155949? 3, 227, 229 What are the prime factors of 8545670? 2, 5, 7, 122081 List the prime factors of 369513. 3, 41057 What are the prime factors of 2151982? 2, 7, 3137 What are the prime factors of 16441552? 2, 1027597 List the prime factors of 7945859. 457, 17387 List the prime factors of 3806047. 7, 29, 18749 What are the prime factors of 11855415? 3, 5, 11, 13, 5527 List the prime factors of 55238. 2, 71, 389 List the prime factors of 2533157. 11, 421, 547 What are the prime factors of 21200085? 3, 5, 193, 2441 What are the prime factors of 1535159? 1031, 1489 List the prime factors of 425082. 2, 3, 7, 29, 349 What are the prime factors of 298644? 2, 3, 41, 607 List the prime factors of 1815291. 3, 73, 307 What are the prime factors of 4123530? 2, 3, 5, 45817 List the prime factors of 2480559. 3, 53, 15601 List the prime factors of 95376. 2, 3, 1987 List the prime factors of 1711802. 2, 855901 What are the prime factors of 392332? 2, 43, 2281 What are the prime factors of 441953? 441953 What are the prime factors of 29989036? 2, 7, 11, 97367 What are the prime factors of 578958? 2, 3, 96493 List the prime factors of 1827745. 5, 173, 2113 List the prime factors of 37821906. 2, 3, 17, 123601 What are the prime factors of 782859? 3, 7, 11, 3389 List the prime factors of 1683344. 2, 13, 8093 What are the prime factors of 594796? 2, 17, 8747 What are the prime factors of 1041094? 2, 520547 List the prime factors of 4923906. 2, 3, 13, 63127 What are the prime factors of 142081? 47, 3023 List the prime factors of 672917. 7, 31, 443 What are the prime factors of 2952864? 2, 3, 10253 List the prime factors of 33987640. 2, 5, 849691 List the prime factors of 254362. 2, 89, 1429 List the prime factors of 5609065. 5, 7, 11, 17, 857 What are the prime factors of 13216805? 5, 7, 377623 What are the prime factors of 25601202? 2, 3, 11, 239, 541 List the prime factors of 16293655. 5, 7, 151, 3083 List the prime factors of 922372. 2, 11, 20963 What are the prime factors of 406391? 19, 73, 293 List the prime factors of 117709. 117709 List the prime factors of 5083180. 2, 5, 41, 6199 What are the prime factors of 92954? 2, 46477 List the prime factors of 4598916. 2, 3, 7, 53, 1033 List the prime factors of 18604215. 3, 5, 7, 19687 List the prime factors of 5634118. 2, 7, 43, 191 List the prime factors of 161313. 3, 17, 3163 List the prime factors of 8389861. 37, 226753 List the prime factors of 5739281. 5739281 What are the prime factors of 650117? 13, 43, 1163 What are the prime factors of 2126537? 7, 19, 59, 271 What are the prime factors of 1178152? 2, 19, 23, 337 What are the prime factors of 27644899? 881, 31379 What are the prime factors of 1791323? 1791323 What are the prime factors of 733264? 2, 7, 6547 List the prime factors of 134180. 2, 5, 6709 List the prime factors of 485780. 2, 5, 107, 227 What are the prime factors of 352957? 11, 2917 List the prime factors of 12122914. 2, 271, 22367 List the prime factors of 395614. 2, 197807 List the prime factors of 5418998. 2, 13, 29, 7187 What are the prime factors of 147099? 3, 49033 List the prime factors of 41606. 2, 71, 293 List the prime factors of 818316. 2, 3, 7577 List the prime factors of 337233. 3, 13, 8647 What are the prime factors of 1482503? 11, 307, 439 What are the prime factors of 12183040? 2, 5, 4759 What are the prime factors of 106775? 5, 4271 List the prime factors of 558208. 2, 7, 89 What are the prime factors of 419189? 419189 List the prime factors of 27994273. 27994273 List the prime factors of 284664. 2, 3, 29, 409 List the prime factors of 1069273. 1069273 List the prime factors of 1020151. 11, 8431 What are the prime factors of 1689823? 139, 12157 What are the prime factors of 608460? 2, 3, 5, 10141 List the prime factors of 9377974. 2, 23, 203869 What are the prime factors of 409476? 2, 3, 34123 List the prime factors of 4095231. 3, 7, 191, 1021 List the prime factors of 4784156. 2, 13, 92003 List the prime factors of 352405. 5, 70481 What are the prime factors of 3060221? 17, 10589 List the prime factors of 1312751. 11, 131, 911 List the prime factors of 51988. 2, 41, 317 List the prime factors of 629405. 5, 7, 367 List the prime factors of 6046536. 2, 3, 251939 What are the prime factors of 231535? 5, 46307 What are the prime factors of 396802? 2, 7, 4049 List the prime factors of 6187280. 2, 5, 11, 79, 89 What are the prime factors of 1230268? 2, 13, 59, 401 What are the prime factors of 608052? 2, 3, 50671 What are the prime factors of 3425501? 47, 72883 List the prime factors of 2150101. 2150101 List the prime factors of 236072. 2, 23, 1283 What are the prime factors of 255897? 3, 28433 What are the prime factors of 1776164? 2, 13, 34157 What are the prime factors of 11357584? 2, 7, 23, 4409 What are the prime factors of 1019032? 2, 7, 31, 587 What are the prime factors of 2196974? 2, 13, 84499 What are the prime factors of 426650? 2, 5, 7, 23, 53 What are the prime factors of 71931? 3, 23977 What are the prime factors of 13885511? 41, 269, 1259 List the prime factors of 20312546. 2, 10156273 What are the prime factors of 921566? 2, 197, 2339 What are the prime factors of 964290? 2, 3, 5, 32143 What are the prime factors of 7763? 7, 1109 List the prime factors of 10260240. 2, 3, 5, 42751 List the prime factors of 5363662. 2, 19, 191, 739 What are the prime factors of 281565? 3, 5, 6257 List the prime factors of 581900. 2, 5, 11, 23 List the prime factors of 27527357. 11, 13, 192499 What are the prime factors of 22432817? 11, 179, 11393 List the prime factors of 1072262. 2, 541, 991 What are the prime factors of 342857? 53, 6469 List the prime factors of 89306. 2, 7, 6379 List the prime factors of 667705. 5, 133541 What are the prime factors of 338748? 2, 3, 28229 What are the prime factors of 76017? 3, 25339 What are the prime factors of 663178? 2, 331589 What are the prime factors of 396923? 29, 13687 List the prime factors of 331944. 2, 3, 13831 List the prime factors of 35306. 2, 127, 139 What are the prime factors of 6906642? 2, 3, 37, 53, 587 List the prime factors of 77365. 5, 15473 What are the prime factors of 3206113? 31, 103423 List the prime factors of 14743507. 31, 475597 List the prime factors of 83514. 2, 3, 31, 449 What are the prime factors of 636604? 2, 167, 953 What are the prime factors of 1280595? 3, 5, 59, 1447 List the prime factors
{ "pile_set_name": "DM Mathematics" }
7 + 2766528*s/7 + 316160 = 0 for s. -17290, -8, -1 Factor 2*q**2/7 + 2666*q - 18664/7. 2*(q - 1)*(q + 9332)/7 Suppose 3*x**3/8 + 21011*x**2/8 - 491867*x/8 + 161621/8 = 0. Calculate x. -7027, 1/3, 23 Factor -2*z**3 - 8*z**2 + 94*z + 420. -2*(z - 7)*(z + 5)*(z + 6) Find p such that -5*p**2 + 28825*p + 28830 = 0. -1, 5766 Determine b so that b**5 - 3950*b**4 + 4085617*b**3 - 365359200*b**2 + 8555510016*b = 0. 0, 48, 1927 Let 3*a**4 + 24063*a**3 + 312312*a**2 = 0. What is a? -8008, -13, 0 Determine f so that -f**4 - 163*f**3 - 6275*f**2 - 70625*f = 0. -113, -25, 0 Factor 3*u**3 + 31266*u**2 - 62541*u + 31272. 3*(u - 1)**2*(u + 10424) Find z, given that -16*z**2/7 + 486*z/7 + 10530/7 = 0. -117/8, 45 Let 5*b**4 - 1820*b**3 - 9205*b**2 - 7380*b = 0. Calculate b. -4, -1, 0, 369 Factor 3*j**2/4 - 761961*j/2 + 193528188507/4. 3*(j - 253987)**2/4 Factor -3*y**3/2 + 420*y**2 - 4872*y + 12864. -3*(y - 268)*(y - 8)*(y - 4)/2 Let -h**5/2 - 100*h**4 + 8497*h**3/2 + 100*h**2 - 4248*h = 0. Calculate h. -236, -1, 0, 1, 36 Factor -r**2/4 - 131*r/2 - 261/4. -(r + 1)*(r + 261)/4 Suppose -s**3 - 8284*s**2 - 17156164*s = 0. Calculate s. -4142, 0 Factor -2*n**4 + 554*n**3 - 27840*n**2 + 390600*n. -2*n*(n - 217)*(n - 30)**2 Find t, given that 2*t**2/9 + 48632*t/9 = 0. -24316, 0 Determine b, given that 2*b**2/9 - 20*b/9 - 550 = 0. -45, 55 Solve 5*q**2 + 495*q - 37250 = 0 for q. -149, 50 Factor 2*u**3 - 146984*u**2 + 146982*u. 2*u*(u - 73491)*(u - 1) Suppose -z**5/7 - 10*z**4/7 + 31*z**3 - 974*z**2/7 + 1320*z/7 = 0. What is z? -22, 0, 3, 4, 5 What is t in -t**5/7 - 1440*t**4/7 - 673412*t**3/7 - 101139734*t**2/7 + 673413*t/7 + 101141174/7 = 0? -557, -326, -1, 1 Factor -4*s**4 - 283456*s**3 + 850392*s**2 - 850400*s + 283468. -4*(s - 1)**3*(s + 70867) Factor 5*r**4/4 - 235*r**3 + 46865*r**2/4 - 124215*r/2. 5*r*(r - 91)**2*(r - 6)/4 Find l such that 2119329723*l**4/2 - 2119303144*l**3 + 3178835111*l**2/3 + 79736*l/3 + 1/6 = 0. -1/79737, 1 Solve 35*t**4 - 465*t**3 + 900*t**2 - 220*t = 0 for t. 0, 2/7, 2, 11 Find b, given that -b**2/2 + 181870*b - 16538348450 = 0. 181870 Factor -r**4 - 1427*r**3 - 502590*r**2 + 4654076*r + 5155240. -(r - 10)*(r + 1)*(r + 718)**2 Factor -j**2/3 + 163*j/3 + 110. -(j - 165)*(j + 2)/3 Factor 4*c**2 + 384*c + 8640. 4*(c + 36)*(c + 60) Solve -5*h**3 + 631655*h**2 + 631670*h - 1263320 = 0. -2, 1, 126332 Determine f, given that 2*f**5/7 - 122*f**4/7 - 4250*f**3/7 - 5230*f**2/7 + 11544*f - 71208/7 = 0. -23, -6, 1, 3, 86 Factor 3*q**3/2 - 867*q**2/2 + 2121*q + 2556. 3*(q - 284)*(q - 6)*(q + 1)/2 What is y in 3*y**2 - 120*y - 828 = 0? -6, 46 Find c, given that 2*c**4/15 + 6896*c**3/15 + 1979148*c**2/5 - 794880*c - 1190250 = 0. -1725, -1, 3 Factor 15*t**3 - 3357*t**2 + 2673*t + 669. 3*(t - 223)*(t - 1)*(5*t + 1) Find v such that -v**4/5 - 249*v**3 - 3729*v**2/5 - 3727*v/5 - 1242/5 = 0. -1242, -1 Factor -2*s**5/13 - 1320*s**4/13 + 1322*s**3/13. -2*s**3*(s - 1)*(s + 661)/13 Find b such that 20*b**4 + 1700192*b**3 - 4080540*b**2 + 3060424*b - 680096 = 0. -85012, 2/5, 1 Factor -3*w**3 + 66*w**2 + 384*w - 5760. -3*(w - 24)*(w - 8)*(w + 10) Factor -t**2/2 + 524*t + 13793/2. -(t - 1061)*(t + 13)/2 Suppose 3*k**4/7 + 60*k**3/7 - 48*k**2 - 960*k/7 + 4608/7 = 0. Calculate k. -24, -4, 4 Factor 2*x**4 - 651*x**3 - 25596*x**2 - 12635*x. x*(x - 361)*(x + 35)*(2*x + 1) Factor l**3/7 - 256*l**2/7 + 6355*l/7 + 6612/7. (l - 228)*(l - 29)*(l + 1)/7 Let a**2/4 - 81*a/2 - 1900 = 0. Calculate a. -38, 200 Find i such that i**2 - 665*i - 49044 = 0. -67, 732 Let 7*f**3/8 + 76589*f**2/8 - 16415*f - 10943/2 = 0. Calculate f. -10943, -2/7, 2 Find m such that 32*m**2 - 1684*m + 3240 = 0. 2, 405/8 Factor -f**2/4 + 1229*f/4 + 3723. -(f - 1241)*(f + 12)/4 Factor -2*g**3 + 290942*g**2. -2*g**2*(g - 145471) Factor -3*k**2 + 33963*k + 135900. -3*(k - 11325)*(k + 4) Factor s**2/9 - 26074*s/9 + 169963369/9. (s - 13037)**2/9 Solve -4*h**5 - 4900*h**4 - 111156*h**3 - 688028*h**2 - 581768*h = 0. -1202, -11, -1, 0 Factor 2*d**3 - 1366*d**2 + 307910*d - 22945650. 2*(d - 273)*(d - 205)**2 Factor -4*n**3/7 - 140080*n**2/7 - 140076*n/7. -4*n*(n + 1)*(n + 35019)/7 Factor -4*w**3 - 10232*w**2 + 237364*w - 227128. -4*(w - 22)*(w - 1)*(w + 2581) Solve 5*r**5/2 - 337*r**4/2 + 111*r**3/2 + 1549*r**2/2 - 262*r - 402 = 0 for r. -2, -3/5, 1, 2, 67 Let 4*o**5 - 3484*o**4 + 20796*o**3 - 31156*o**2 + 13840*o = 0. Calculate o. 0, 1, 4, 865 Find d such that 2*d**4/3 - 50*d**3 + 1350*d**2 - 15750*d + 67500 = 0. 15, 30 Solve i**5 + 10*i**4 - 1296*i**3 - 3938*i**2 - 3953*i - 1320 = 0 for i. -40, -1, 33 Let 3*q**5/5 - 126*q**4 + 28224*q**3/5 + 526848*q**2/5 = 0. Calculate q. -14, 0, 112 Factor n**3/8 + 1953*n**2/8 + 16477*n/4 + 10164. (n + 3)*(n + 14)*(n + 1936)/8 Solve 38*p**4 - 15612*p**3 - 18122*p**2 - 2472*p = 0. -1, -3/19, 0, 412 Factor -5*j**3 - 130*j**2 - 715*j + 850. -5*(j - 1)*(j + 10)*(j + 17) Suppose 2*i**2 + 1276*i + 203522 = 0. Calculate i. -319 Determine k, given that -4*k**3/5 - 5968*k**2/5 + 11948*k/5 - 5976/5 = 0. -1494, 1 Factor 5*a**3 - 4205*a**2 + 890375*a - 2633415. 5*(a - 419)**2*(a - 3) Determine z so that 5*z**2/2 + 970*z = 0. -388, 0 What is s in s**3/2 + 14483*s**2 + 209757289*s/2 = 0? -14483, 0 Find k, given that -876*k**3 + 3536*k**2 - 3632*k + 128 = 0. 8/219, 2 Factor -5*k**2 - 93320*k + 93325. -5*(k - 1)*(k + 18665) Solve -s**4/4 + 156799*s**3/4 = 0 for s. 0, 156799 Find f such that -8*f**4 - 5394*f**3 + 177340*f**2 - 1401216*f - 361472 = 0. -706, -1/4, 16 Let -r**3/3 + 191*r**2/3 - 370*r/3 - 504 = 0. What is r? -2, 4, 189 Suppose -4*j**3 - 704*j**2 - 26652*j + 27360 = 0. Calculate j. -120, -57, 1 What is a in a**2/3 + 428*a/3 + 1529 = 0? -417, -11 Factor -5*q**4 + 50*q**3 + 960*q**2 - 10080*q. -5*q*(q - 12)**2*(q + 14) Suppose 2*a**2/13 + 13100*a + 170298/13 = 0. Calculate a. -85149, -1 Let 2*a**4/5 + 966*a**3/5 + 948*a**2/5 - 7736*a/5 - 11568/5 = 0. Calculate a. -482, -2, 3 Determine f so that -f**5 + 7*f**4 + 47*f**3 - 23*f**2 - 118*f + 88 = 0. -4, -2, 1, 11 Solve -2*g**2 - 12564*g - 19731762 = 0. -3141 Factor -10*z**2 + 636*z + 256. -2*(z - 64)*(5*z + 2) Let -2*j**4/3 + 172*j**3/3 - 338*j**2/3 + 56*j = 0. What is j? 0, 1, 84 Solve -2*t**2/13 + 39984*t/13 - 79960/13 = 0. 2, 19990 Solve -4*f**3 - 4596*f**2 + 347368*f + 1083360 = 0. -1220, -3, 74 Suppose -5*o**5 - 60*o**4 + 100*o**3 + 450*o**2 - 95*o - 390 = 0. Calculate o. -13, -2, -1, 1, 3 What is z in 3*z**4 + 948*z**3 + 66777*z**2 + 65832*z = 0? -211, -104, -1, 0 Find g, given that 10*g**4 + 985*g**3 - 6150*g**2 - 44920*g - 20800 = 0. -104, -4, -1/2, 10 Factor -5*x**2 - 2207930*x - 243747744245. -5*(x + 220793)**2 Factor 20*l**5 + 4*l**4 - 76*l**3 - 52*l**2 + 40*l + 32. 4*(l - 2)*(l + 1)**3*(5*l - 4) Factor -3*l**3 + 546*l**2 - 21888*l - 276480. -3*(l - 96)**2*(l + 10) Let 18*a**3/23 - 2488*a**2/23 + 5448*a/23 - 1088/23 = 0. What is a? 2/9, 2, 136 Factor 5*n**4 + 388070*n**3 + 7529528165*n**2 - 15060220560*n + 7530304320. 5*(n - 1)**2*(n + 38808)**2 Suppose -x**3/10 - 19*x**2/5 - 176*x/5 = 0. Calculate x. -22, -16, 0 Find u, given that -2*u**3/7 + 858*u**2/7 - 85248*u/7 - 1478520/7 = 0. -15, 222 Factor -18*p**2/5 - 8025*p - 80178/5. -3*(p + 2)*(6*p + 13363)/5 Factor 2*j**2/17 - 497880*j/17 - 497882/17. 2*(j - 248941)*(j + 1)/17 Find w such that -147*w**5 + 340053*w**4 + 1264323*w**3 + 1758135*w**2 + 1084248*w + 250236 = 0. -1, -6/7, 2317 Factor 5*f**2 - 13360*f + 8924480. 5*(f - 1336)**2 Factor -2*s**4/9 - 1378*s**3/3 - 287184*s**2 - 30628992*s + 15100462080. -2*(s - 165)*(s + 744)**3/9 Factor 2*g**2/5 - 36444*g/5 - 255206/5. 2*(g - 18229)*(g + 7)/5 Determine u, given that 3*u**3 + 963*u**2 - 3900*u = 0. -325, 0, 4 Factor 3*d**2 - 2585214*d + 556944285483. 3*(d - 430869)**2 Factor b**2 + 2892*b + 46016. (b + 16)*(b + 2876) Factor -2*i**3 + 79658*i**2 + 79664*i - 159320. -2*(i - 39830)*(i - 1)*(i + 2) Let 2*w**5/7 - 2096*w**4/7 + 1492*w**3 - 14608*w**2/7 + 894*w = 0. Calculate w. 0, 1, 3, 1043 Factor 25*t**3 + 194860*t**2 + 379743165*t + 151866090. 5*(t + 3897)**2*(5*t + 2) Suppose -m**4/4 + 159*m**3/4 - 929*m**2/4 + 1689*m/4 - 459/2 = 0. What is m? 1, 2, 3, 153 Factor -t**3/3 - 716*t**2/3 - 127925*t/3 - 6768958/3. -(t + 119)**2*(t + 478)/3 Suppose 2*w**3/7 - 28748*w**2/7 + 103334680*w/7 - 206554384/7 = 0. Calculate w. 2, 7186 S
{ "pile_set_name": "DM Mathematics" }
-25, i*q - 103 = -3*j - 32. What is the smallest common multiple of 4 and q? 16 Suppose 28 = -2*i - 4*s, 2*s = i + 5*s + 15. What is the common denominator of -71/74 and 4/i + -1 + (-575)/(-90)? 666 Let s = -578867/24288 + 1/8096. Let p = -20683/8 + 2581. Calculate the common denominator of s and p. 24 Let h = 3636 - 3633. Calculate the smallest common multiple of 1933 and h. 5799 Let p = 2364 - 2350. Let v be -1 - (-2 - 19)/(-3). Let i = 6 - v. Calculate the least common multiple of i and p. 14 Let k(b) = -4*b**2 - 65*b + 24. What is the lowest common multiple of 24 and k(-15)? 792 Let y = -165 - 675. Let r = 25049/30 + y. Find the common denominator of 46/45 and r. 90 Let b = -8367/2 + 635829/152. Find the common denominator of b and 99/76. 152 Let x = 29807/10 - 2975. Find the common denominator of x and (-54)/16*-6 + 12/12. 20 Suppose -3*j = -2*x + 102, x - 4*j - 196 = -3*x. Find the common denominator of 319/x + (-3)/15 and -75/86. 774 Suppose -5*c - 4*g = -13 + 15, -4*c + 40 = -2*g. What is the lowest common multiple of 45 and c? 90 Calculate the smallest common multiple of 66 and 4158/9*(3 - 40/16). 462 Find the common denominator of 7 + (-190833)/25200 + 7/(-49)*-3 and 95/48. 1200 Let c(k) = k**3 + 15*k**2 - 16*k + 14. Let r be c(-16). Let f(a) = -12*a**2 + 170*a + 2. What is the least common multiple of 33 and f(r)? 330 Let s = 34306 - 3259037/95. What is the common denominator of s and 4/25? 475 Let y be 282/14 + (-432)/(-504). Let d(r) = -6*r + 132. What is the smallest common multiple of 6 and d(y)? 6 Calculate the common denominator of 181/(-168) - 13/(-39)*-1 and 111/308. 616 Let n(v) = v**3 + 3*v**2 - 4*v - 5. Suppose -22*q + 12 = -26*q. Suppose 0 = -z + 3. What is the smallest common multiple of n(q) and z? 21 Suppose -5096 = -76*q + 63*q. Calculate the least common multiple of q and 560. 3920 Calculate the common denominator of (4/(-32) - 0)*(-2010)/(-75) and 747/(-12)*(-4)/(-222). 740 Let q = 15 - -27. Suppose -18*n + 4*n = -q. What is the least common multiple of 4 and 140/(7 - n) - -1? 36 Find the common denominator of (-8)/(3 - (7 - 2)) - 2935/810 and -97/8. 648 Let k be 3/(18/(-12))*(-45)/6. Let b = -45/4 + 379/36. Calculate the common denominator of (55/k + -3)*(-46)/36 and b. 54 Suppose -3*f - 896 = -4*f. Calculate the smallest common multiple of 24 and f. 2688 Suppose 0 = -5*a, -v = -2*a + a + 86879. Let j = -6255385/72 - v. Calculate the common denominator of 97/72 and j. 72 Let p = -521544 - -440704747/845. Find the common denominator of 107/520 and p. 6760 Let x = -340379/95536 + 2/5971. Calculate the common denominator of x and (-56)/(-196)*(-861)/(-240). 80 Let v = -2241/1143560 - -20/1243. Calculate the common denominator of -67/1840 and v. 1840 Suppose 441 = 3*c - 3*l, 0 = 5*c - 0*l - 3*l - 729. Calculate the least common multiple of c and 47. 6768 Let s = -189823/33 - -5750. Calculate the common denominator of 55/6 and s. 66 Let t = -163 + 162. Calculate the least common multiple of 4/(-30) + t + 47/15 and 12. 12 Let j = -968732/215 + -11656/43. Let n = -147799/30 - j. Let q = n - -4747/30. Find the common denominator of q and 145/6. 30 Suppose 0 = -3*d + 8 + 13. Suppose 3*h = 618 + 141. Suppose -27 = -256*k + h*k. What is the smallest common multiple of d and k? 63 Let q(x) = -x**2 - 23*x - 43. Let r be q(-21). Calculate the lowest common multiple of 9 and r/(1*(-1)/8). 72 Let q = 35679/10 - 3566. Calculate the common denominator of 18/95 and q. 190 Suppose 189 = 3*q - 39. What is the least common multiple of 2/(-2) + q + 0/67 and 11? 825 Let t be ((-4)/(-3))/(-9 - 255/(-27)). Suppose -t*z - 144 = -39*z. Calculate the smallest common multiple of z and 128. 128 Suppose 10*r - 233 + 163 = 0. Suppose 0 = y + c - r, -2*c + 11 = y + 6. What is the lowest common multiple of 9 and y? 9 Let b = 2457 - 2145. What is the lowest common multiple of b and 52? 312 Let a = 1038/5 - 18709/90. What is the common denominator of 61/10 and a? 90 Let s = 5689/8 + -1433/2. Let r = 103/8 - s. Find the common denominator of r and 27/16*((-72)/16 + 2/4). 4 Let a be -14*79/(-32)*6. Let k = 206 - a. What is the common denominator of k and ((-33)/(-18)*(-9)/(-22))/((156/(-376))/13)? 8 Let o(c) = c**3 - 2*c**2 + 11. Let k be o(0). Let z be (-434)/(-241) + -13 + k. Let w = z - 8485/2169. Find the common denominator of w and -71/3. 9 Find the common denominator of 8/6*(57608/(-3840) - -15) and 53/63. 2520 What is the common denominator of 148/2553*(-6)/(-24) and -26/21? 483 Let f = -57621 - -34409. Let v = -2019406/87 - f. Calculate the common denominator of v and 23/33. 957 Suppose 6*m - 2*m = -4*o + 36, m = 2*o + 6. Suppose b = -4*v + 18, -2*v - 2 = -m. Calculate the lowest common multiple of 12 and b. 12 Let p = 59161/13 + -663667461/145834. What is the common denominator of p and -17/2? 11218 Let c = 67223/30 + -2240. What is the common denominator of c and (-140)/(-21) + -6 - 1090/(-2100)? 210 Suppose -2029*j + 2028*j - 25 = 0. Let d(k) = -k**3 - 26*k**2 - 32*k - 136. Calculate the smallest common multiple of d(j) and 87. 1131 Suppose -17*k = -16*k - 9. Suppose -k*h - 27 = -0*h. What is the common denominator of 2*h/(-270)*(-1 + -72) and 85/21? 315 Suppose 478*v = 468*v + 410. What is the least common multiple of 4 and v? 164 Let j be 1023/(-55) + 3/5. Let o(p) = 0*p**2 - 19 + p**2 - 25 - 5*p + 20*p. What is the least common multiple of o(j) and 12? 60 What is the common denominator of ((-870)/580)/((-10)/107 - -2) and -59/16? 272 Let y = 38935 + -759. Let f = y - 2939609/77. Calculate the common denominator of f and 57/88. 616 Suppose -5*p = 3*z + 1502, z + 5*p + 486 = 7*p. Let v = 506 + z. What is the smallest common multiple of v and 314? 1884 Let y be (-7 + 385/49)*7/2. Calculate the smallest common multiple of (-11 + 5)/y + 14 + 0 and -44*(1 - 2/1). 132 Let b be 8*((-134 - -6) + -7). Calculate the common denominator of -77/24 and 50/225 + (-1047)/b. 120 Let q be (2 + -17)/(6/(-4)). Find the common denominator of (3 + 4/(-2))*533/(-143) and 1/q*-47 - -3. 110 Let p(s) = 2*s**2 + 116*s + 104. Let x be p(-57). Find the common denominator of -11*((-1)/(-4))/(-6 - x) and -45/11. 176 Let l = 18/101 + 4567/1010. Let g = 31905/4 + -7860. Let v = g - 572/5. Calculate the common denominator of v and l. 20 Let a be (10*1)/(-28*(-150770)/306575). Let x = a + -1/45231. Calculate the common denominator of x and 149/78. 1092 Let x be (-1)/(-5) + (-2)/10. Suppose 30 = 2*l - 2*g, 0 = -3*g - x + 3. Let m(r) = -r + 42. Calculate the least common multiple of m(32) and l. 80 Let y(p) = 2*p**3 + 100*p**2 - 105*p - 9. Calculate the smallest common multiple of y(-51) and 216. 432 Let v = -280 + 622. Suppose 0*w + v = 9*w. Find the common denominator of 38/3 + 3 - (-1 + 4) and w. 3 Let w(r) = 3*r**3 - 4*r**2 + 8*r. Suppose -3*s + 0*x = -3*x - 12, s - 10 = 4*x. Calculate the smallest common multiple of 36 and w(s). 72 Suppose 65 + 45 = n. Suppose -5450*f + 5446*f + 160 = 0. Calculate the lowest common multiple of f and n. 440 Suppose 0 = q - 37 - 87. Let r = -66 + q. Let m = r - 49. What is the lowest common multiple of 6 and m? 18 Let l = 44506750/671 - 66329. Find the common denominator of l and 27/176. 10736 Let s(u) = u**2 + 10*u - 16. Let o be s(-12). Suppose -o = -16*x + 12*x. Calculate the common denominator of 33/(-36) - x/(-3) and 11/5. 20 Let l be (-56564474)/(-240) - 1 - 3. Let m = 235680 - l. What is the common denominator of m and 1 + (-192)/27 + (-11)/(-22)? 360 Suppose -25*o + 109*o = 2688. Suppose 48 = 4*r - 16. Calculate the smallest common multiple of r and o. 32 Let g = 1082/3 - 273914/759. Find the common denominator of g and -79/88. 2024 Let p = -4031 + 4603. What is the least common multiple of 780 and p? 8580 Let y be (18/(-5412))/(-1)*(-1973)/3. Let w = 58/41 + y. Calculate the common denominator of w and -97/2. 22 Let d = -1604/5 - -1263/4. Find the common denominator of -187/150 and d. 300 Suppose 7 = -3*y - 5*t, 2*t - 1 = -2*y - 3. Let w(l) = -5*l**3 + 26*l**2 - 7. What is the smallest common multiple of w(2) and y? 57 Let v = -154223/2 - -75565. Let y = -1581 - v. Let c = -8/37 - 465/74. Find the common denominator of y and c. 2 Calculate the lowest common multiple of 130/1*((-72)/90)/(-2) and 26. 52 What is the common denom
{ "pile_set_name": "DM Mathematics" }
*o - 7225. What is the third derivative of x(r) wrt r? -39792*r - 6 Let u(m) be the second derivative of 2393*m**4/4 + 1174*m**3/3 + m**2/2 - 6211*m. What is the second derivative of u(x) wrt x? 14358 Suppose 2*x = 21 + 7. Let q = 52 + -50. Find the third derivative of -x*v**5 - 9*v**2 + 0*v**5 + 6*v**q wrt v. -840*v**2 Suppose -5*v - 4*y + 80 = 0, 0*v = v + y - 15. Let s(x) be the first derivative of -v*x - 5/2*x**2 - 9. What is the derivative of s(r) wrt r? -5 Let s = -11953 + 11955. Let o(z) be the third derivative of 0 - 4*z**2 - 19/12*z**4 - s*z**3 + z. What is the first derivative of o(w) wrt w? -38 Let z(q) be the second derivative of q**5/10 - 42*q**3 - 3059*q**2/2 - 3*q - 979. Find the first derivative of z(k) wrt k. 6*k**2 - 252 Suppose 2 = -4*c + 2*s, -15*s = -2*c - 10*s - 21. Find the second derivative of 98*v**c - 157*v**2 + 98*v**2 - 2*v wrt v. 78 Suppose -7*f - 83 + 27 = 0. Let i(o) = o**3 + 8*o**2 + o + 13. Let l be i(f). What is the third derivative of l*d**6 - 11*d + 4*d**2 - 2*d**6 + 11*d wrt d? 360*d**3 Find the third derivative of 3 - 3 - z**4 + 4*z**3 + 1034*z**2 + 134*z**5 - 3510*z**2 - 2413*z**2 wrt z. 8040*z**2 - 24*z + 24 Let o(t) be the third derivative of -1547*t**4/6 - 8857*t**3/6 + 13491*t**2. Differentiate o(s) with respect to s. -6188 Let w = -111 - -119. Suppose l - 4*u = 102, -u - 3*u - w = 0. Find the first derivative of -61*j**2 + 5 + l*j**2 - 23 wrt j. 66*j Let f(t) be the second derivative of 2533*t**6/30 - 439*t**3/3 + 561*t - 2. Find the second derivative of f(c) wrt c. 30396*c**2 Let l(r) be the second derivative of 25*r**6/24 + 43*r**3/3 + 149*r**2/2 + 31*r + 2. Let j(i) be the first derivative of l(i). Differentiate j(a) wrt a. 375*a**2 Let p(f) = -4*f**3 - 5*f - 3*f + 5*f**3 + 5*f + 4*f. Let j(m) = -174*m**4 - 4*m**3 - 4*m - 263. Let l(g) = j(g) + 4*p(g). Differentiate l(x) with respect to x. -696*x**3 Suppose 23*w - 16*w = 42. Find the third derivative of 26*v**6 + 9*v**5 - 16*v**w - 12*v**6 + 24*v**5 - 34*v**2 wrt v. -240*v**3 + 1980*v**2 Let w(k) be the first derivative of -4991*k**4/4 + 29*k**2/2 - 41*k + 8399. Find the second derivative of w(z) wrt z. -29946*z Let j(i) be the third derivative of -94*i**7/35 - 11*i**4/12 - i**3/3 - 2*i**2 - 42*i. What is the second derivative of j(v) wrt v? -6768*v**2 Let h(j) = j**2 - 5*j - 21. Let z be h(-7). Suppose 2*u - z = -47. Find the second derivative of -2*n**2 + 21*n + 15*n - 15*n**2 - u*n**2 wrt n. -50 What is the first derivative of 3556*j - 6*j + 2155*j + 3090*j - 1688*j + 3819 wrt j? 7107 Let n be 2/(-3 + 102/30). Find the third derivative of 2*m + 12*m**5 + m**2 - 14*m**n + 70*m**5 + 13*m wrt m. 4080*m**2 Suppose -2 = 16*b - 34. Differentiate -33 + 22*l**3 - b - 87*l**3 + 6 - 29 wrt l. -195*l**2 Find the second derivative of 502*n**2 + 7906 + 3547*n**2 + 4749*n**2 - n + 2449*n**2 wrt n. 22494 Suppose -3*p - 159 = -5*f, 4*f + f + p - 167 = 0. Find the second derivative of 17*w**2 + 66*w**2 - 18 + f*w - 35*w wrt w. 166 Let s(m) = -56*m**3 - 127*m**2 - 14501*m. Let b(c) = 45*c**3 + 103*c**2 + 11601*c. Let w(j) = -11*b(j) - 9*s(j). What is the second derivative of w(v) wrt v? 54*v + 20 Suppose -3*l + 33 = -2*l. Let w = l + -30. What is the third derivative of -14*f**w - 25*f**3 - 19*f**2 + 47*f**3 - 33*f**3 wrt f? -150 Find the second derivative of -34804692*z + z**3 + 34804689*z + 1942*z**5 - z**3 - 115 wrt z. 38840*z**3 Let u(j) = -j**2 + 6*j - 2. Let l be u(4). Suppose -262*a - 8 = -2*f - 266*a, 0 = 5*a. What is the second derivative of -l*x**f - x + 3*x + x + 8*x wrt x? -72*x**2 Let p(h) be the third derivative of 443*h**6/120 + 19*h**4/2 + 14*h**2 + 32*h. What is the second derivative of p(a) wrt a? 2658*a What is the second derivative of -126*o**3 + 1206*o**3 + 85*o**3 + 1233*o**3 + 2102*o wrt o? 14388*o Suppose 37*n - 7*n = 60. Find the first derivative of 14*a**2 - 6*a - 112*a**n - 72*a**2 + 6*a + 131 wrt a. -340*a Let r(j) be the third derivative of -38/3*j**3 + 0*j + 265*j**2 + 34/15*j**5 + 0*j**4 + 0. What is the first derivative of r(w) wrt w? 272*w Let k(n) be the second derivative of -16*n**5/5 - n**4/12 + 23*n**3/6 - 4119*n**2 + n + 104. Differentiate k(s) wrt s. -192*s**2 - 2*s + 23 Let u(g) = -683*g + 5477. Let o(l) = 682*l - 5514. Let x(j) = -4*o(j) - 5*u(j). What is the derivative of x(m) wrt m? 687 Let i(t) = -t**5 - 235*t**4 - 3*t**3 - t - 819. Let f(s) = s**3 + 1. Let z(r) = -3*f(r) - i(r). What is the second derivative of z(u) wrt u? 20*u**3 + 2820*u**2 Let d(v) be the second derivative of -43*v**7/210 + 5*v**3/3 - 11*v**2 - 56*v. Let o(s) be the first derivative of d(s). What is the derivative of o(b) wrt b? -172*b**3 Suppose -3*a + 16 = -4*a - 4*f, 4*a - 3*f = -7. Let w be a/(-2) - (0 - 2). Find the third derivative of 299*o**4 - 318*o**w + 17*o**2 - 2*o**3 + 2*o**3 wrt o. -456*o Find the second derivative of 699*h**2 - 109*h**2 + 118*h**2 + 1546*h - 4 + 446*h**2 wrt h. 2308 Let a(j) be the second derivative of -1898*j**6/15 + j**5/20 + 5*j**3/6 - 241*j**2/2 - 1063*j. What is the second derivative of a(l) wrt l? -45552*l**2 + 6*l Suppose -3*s + 256 + 683 = 0. Suppose 10*u + 83 - s = 0. What is the third derivative of -u*n**3 + 7*n**3 + 10*n**2 + 6*n**3 wrt n? -60 Let w = 2156 - 2151. Let j(l) be the second derivative of 0 + 0*l**2 - 7/6*l**3 + 6*l + 0*l**4 - 3/4*l**w. What is the second derivative of j(p) wrt p? -90*p Let s(r) = -2*r - 13. Let f be s(-11). What is the second derivative of -153*z**3 - 64*z + 8*z - f*z**2 + 154*z**3 wrt z? 6*z - 18 Suppose 2*f = -3*m + 12, 2*m - 2 + 10 = 4*f. What is the second derivative of -f*a**4 - 8748*a**3 - 9*a + 8748*a**3 + 9*a**2 wrt a? -36*a**2 + 18 Suppose 39 - 31 = -5*i + 23. Let s(m) be the first derivative of 0*m + 9*m**2 - 15 + 0*m**i + 0*m**4 - 39/5*m**5. What is the second derivative of s(o) wrt o? -468*o**2 Let j(i) = 91050*i**2 + 250*i - 25475. Let d(p) = 1097*p**2 + 3*p - 307. Let m(r) = -250*d(r) + 3*j(r). Differentiate m(a) wrt a. -2200*a Let m(h) be the third derivative of 0 - 2/5*h**5 + 26*h**2 + 0*h + 1/12*h**4 - 1/6*h**3. Find the second derivative of m(k) wrt k. -48 Let l = 451 - 448. Find the second derivative of -21*o + 23*o + 4 + 273*o**l - 16*o**3 wrt o. 1542*o Let d(h) = h**3 - h**2 - 3*h - 4. Let s be d(-2). Let j be 6/s + 1192/20. What is the third derivative of -7*a**2 + 24*a**4 - j + 59 + 0*a**2 wrt a? 576*a What is the second derivative of -6002*x**2 - 6241*x**2 + 253*x + 2*x**3 - 2 + 11990*x**2 wrt x? 12*x - 506 Let n(o) be the first derivative of 50*o**3 + 2*o**2 - 473*o - 986. What is the derivative of n(w) wrt w? 300*w + 4 Suppose 0 = -14*i + 16*i + 2. Let w be 5 + i + -1 - -25. Differentiate 3 - 22*j**4 - w*j**4 + 40*j**4 wrt j. -40*j**3 Let t(z) be the first derivative of 7*z**5/30 - 127*z**4/24 - 39*z**3 - 132. Let o(c) be the third derivative of t(c). Differentiate o(g) wrt g. 28 Let r(j) = -52*j**4 + 8*j**2 + 4. Let m(p) = 103*p**4 - 16*p**2 - 9. Suppose z + 18 = -8*z. Let s(n) = z*m(n) - 5*r(n). Find the third derivative of s(a) wrt a. 1296*a Suppose -y - 21 = -3*r - 5, 2*r + 4*y - 6 = 0. Find the third derivative of 0 + 6*t**3 + t**4 - 9 - t**3 - t**2 - r*t**3 - 3*t**5 wrt t. -180*t**2 + 24*t Let n = 188 + -139. Differentiate 11 + n - 6*x + 4*x + 7 with respect to x. -2 Let a(u) = 1206*u**2 - 6420*u - 10. Let p(o) = 605*o**2 - 3209*o - 4. Let l(s) = 2*a(s) - 5*p(s). Find the second derivative of l(k) wrt k. -1226 Let x(o) be the third derivative of -17/10*o**5 + 0 + 0*o - 1/12*o**4 - 32*o**3 - 131*o**2. Find the second derivative of x(f) wrt f. -204 Let x(h) = 2*h**3 - h - 1. Let n(v) = -8*v - 4*v**3 + 136 + 13*v + 12*v**3 - 69*v**3. Let i(t) = n(t) + 5*x(t). What is the first derivative of i(c) wrt c? -153*c**2 Find the third derivative of 22*u**4 + 1682*u**5 + 25*u**4 + 86*u - 47*u**4 - 12*u**2 wrt u. 100920*u**2 Let k(s) be the third derivative of -267*s**2 + 0*s**5 - 13/42*s**7 + 0*s**4 + 0 + 0*s + 0*s**6 - 241/6*s**3. What is the first derivative of k(p) wrt p? -260*p**3 Let h(q) = -q**2 - 18*q - 27. Let f be h(-16). Suppose 2*s - 31 = -5*t, 4*t = f*s + 33 + 5. What is the second derivative of 19*o - 20*o**4 + t*o - 9*o wrt o? -240*o**2 Find the third derivative of -1876894*z + 5*z**3 + 110*z**4 + 1876894*z - 2919*z**2 wrt z. 2640*z + 30 L
{ "pile_set_name": "DM Mathematics" }
6523. Let r(p) be the second derivative of 0*p**2 + 0*p**4 + 0*p**q + 0 - 1/5*p**6 - 25*p + 3/20*p**5 + 1/14*p**7. Factor r(a). 3*a**3*(a - 1)**2 Let n = -4727/52 + 379/4. Let x = 184092 - 184089. Factor -22/13*w**2 + 8/13 - 24/13*w + 60/13*w**x + n*w**4. 2*(w + 1)**2*(5*w - 2)**2/13 Let o = -48409/2 + 24205. Let t(k) be the third derivative of 47*k**2 + 0*k**3 - 1/40*k**6 + 0*k + 0 + o*k**4 + 3/20*k**5. Solve t(w) = 0 for w. -1, 0, 4 Let b be 6 + (3 + (-96)/28)*7. Suppose b*h = 19*h - 7*h. Suppose 2/11*l**2 + h - 12/11*l = 0. What is l? 0, 6 Suppose n + 7 = -3*a, -1070 + 1068 = -4*n - 2*a. Factor 1/8*o**n + 0 - 9/8*o. o*(o - 9)/8 Let o = 29345/4 - 7334. Let b(r) be the first derivative of 0*r + 9/5*r**5 - 19 + 0*r**2 + o*r**4 + r**3 + 1/2*r**6. Factor b(s). 3*s**2*(s + 1)**3 Let o be 8691/(-28970)*(-1 - 3/1). Factor 6/5 - o*b**2 + 1/5*b - 1/5*b**3. -(b - 1)*(b + 1)*(b + 6)/5 Let n(u) = -3*u**3 - 296*u**2 + 3275*u - 8498. Let f(k) = 35*k**3 + 3555*k**2 - 39300*k + 101975. Let c(x) = -2*f(x) - 25*n(x). Let c(b) = 0. What is b? -68, 5 Let f(h) = -14*h**3 - h**2 + 5*h + 6. Let b be f(-1). Let v = b - 14. Suppose -3/8*z**4 + 3/4*z**3 + v*z - 3/8*z**2 + 0 = 0. Calculate z. 0, 1 Let y(v) be the first derivative of 30 - 9/5*v**2 - 27/5*v - 1/5*v**3. Determine n so that y(n) = 0. -3 Suppose 7*g - 17700 = -23*g. Let p = 1185/2 - g. Let -3*l + p + 1/2*l**2 = 0. Calculate l. 1, 5 Let l(a) be the second derivative of -a + 266 + 0*a**2 + 8/9*a**3 + 10/9*a**4 + 1/10*a**6 + 11/20*a**5. Factor l(y). y*(y + 1)*(3*y + 4)**2/3 Let y(a) = -13*a - 39. Let o(f) = -f + 1. Let p(w) = -4*o(w) + y(w). Let c be p(-5). Let -6/7*s + 0 - 2/7*s**c = 0. Calculate s. -3, 0 Factor -99/5*o**3 - 3216/5*o + 3/5*o**4 + 180*o**2 + 4032/5. 3*(o - 21)*(o - 4)**3/5 Suppose -27*r + 28 = -13*r. Find u, given that -7*u**4 + 3 - 2*u**5 - 9 - 3*u**4 - 8*u**3 + 18*u**4 + r - 4*u**2 + 10*u = 0. -1, 1, 2 Suppose 0 = -2*m + 3*m - 2*u, -7 = -5*m + 3*u. Suppose m*k = 0, -6*q = -3*q + 2*k - 6. Factor -12 + q*a**2 + 49 + 53 - 24*a - 18. 2*(a - 6)**2 Let j(t) be the first derivative of -t**4/10 + 434*t**3/15 - 216*t**2/5 + 13476. What is q in j(q) = 0? 0, 1, 216 Let m(g) be the first derivative of -15*g**4/4 - 15580*g**3/3 - 4050795*g**2/2 - 2693610*g + 1640. Factor m(p). -5*(p + 519)**2*(3*p + 2) Suppose d - 5*n + 5 = 0, 70 = 5*d + 4*n + 8. Let v be (-40)/(-15)*((-21)/d + 3). Let v*m + 6/5*m**2 - 3/5*m**3 - 24/5 = 0. What is m? -2, 2 Let p be ((-25248)/28404)/((-2)/21). Suppose p*k**2 + 8*k + 0 + 0*k**3 - 4/3*k**4 = 0. Calculate k. -2, -1, 0, 3 Let o(g) be the second derivative of 5*g**4/12 + 935*g**3/3 + 1860*g**2 - 149*g - 11. Determine q so that o(q) = 0. -372, -2 Let n(f) = 37*f - 108. Let l be n(3). Let h(s) be the first derivative of -5/3*s**l - 10*s**2 - 15*s + 8. Suppose h(v) = 0. What is v? -3, -1 Let c(p) be the first derivative of p**4/12 - 10*p**3/9 + 3*p**2/2 + 56. Factor c(i). i*(i - 9)*(i - 1)/3 Let i(s) be the second derivative of -s**6/120 - 3*s**5/20 + 15*s**4/16 - 15*s + 4. Let i(n) = 0. Calculate n. -15, 0, 3 Solve -52/5*x**2 + 0 - 10*x - 2/5*x**3 = 0 for x. -25, -1, 0 Let s = 11 + -9. Find p such that -16428 + 4*p**2 - 2*p**2 - 444*p + 3*p**2 - 8*p**s = 0. -74 Let v(d) be the third derivative of d**2 + 1/60*d**6 + 0 + 110*d + 0*d**4 + 0*d**3 + 0*d**5 - 1/315*d**7. Determine b, given that v(b) = 0. 0, 3 Find p, given that -2*p**2 + 345*p - 155*p - 145*p + 240 - 119*p = 0. -40, 3 Suppose 24*l + s + 306 = 29*l, -59 = -l - 2*s. Factor 36*w**4 + 609*w - l*w**2 - 144 - 1281*w - 15*w**2 + 152*w**3. 4*(w - 2)*(w + 3)**2*(9*w + 2) Let d = 285088 - 285086. Factor -1/6*h**d - 2*h - 10/3. -(h + 2)*(h + 10)/6 Let j(h) = -h**3 - 17*h**2 - 25*h + 3. Let f be j(-19). Let m = f + -1198. Factor -1/2*s**m + 0 + 1/2*s. -s*(s - 1)/2 Let v(o) be the second derivative of o**5/20 + 181*o**4/12 + 2929*o**3/2 + 52983*o**2/2 + 6823*o. Solve v(g) = 0. -87, -7 Let v(r) be the first derivative of 5*r**6/6 + 40*r**5 + 555*r**4/4 + 1234. Find w such that v(w) = 0. -37, -3, 0 Let q(b) be the first derivative of -17 + 0*b + 11/21*b**2 - 2/21*b**3. Factor q(s). -2*s*(3*s - 11)/21 Let j(f) be the third derivative of -2/3*f**4 + 0*f**3 + 1/30*f**6 + 22*f**2 + 0 + 0*f**5 + 0*f. Factor j(x). 4*x*(x - 2)*(x + 2) Let i = 193 - 1157/6. Let s(n) be the second derivative of -3*n**2 + 0 + 8*n - i*n**4 - 4/3*n**3. Factor s(k). -2*(k + 1)*(k + 3) Let s(i) be the second derivative of i**6/6 + 15*i**5/2 + 785*i**4/12 - 850*i**3 + 2890*i**2 + 5260*i. Factor s(l). 5*(l - 2)**2*(l + 17)**2 Let q(u) be the first derivative of -1/6*u**6 + 0*u - u**5 + 21/4*u**4 + 111 + 4*u**2 - 23/3*u**3. Solve q(n) = 0 for n. -8, 0, 1 Let o(i) be the third derivative of 0 - 4/3*i**3 - 5/3*i**4 + 17/105*i**7 + 1/42*i**8 + 0*i + 143*i**2 + 4/15*i**6 - 13/30*i**5. Find k, given that o(k) = 0. -2, -1, -1/4, 1 Let q(p) be the third derivative of -p**8/560 - 4*p**7/175 - 7*p**6/200 + 5*p**2 + 25. Determine x, given that q(x) = 0. -7, -1, 0 Let j(w) be the first derivative of 2*w**3 + 51*w**2/2 + 24*w - 536. Find p, given that j(p) = 0. -8, -1/2 What is g in -501*g**3 + 8*g**2 - 1127*g**3 - 121*g + 121*g = 0? 0, 2/407 Let d(y) = -6*y**3 + 57*y + 57. Let z be d(-1). Suppose -11*p - 6 = -15*p + 5*l, -p + 5*l = z. Factor 0*w - 1/3*w**p + 0 - 4/3*w**2 - 5/3*w**3. -w**2*(w + 1)*(w + 4)/3 Let g(r) = r**2 + 3*r + 5. Let d be g(-3). Let 4*o**2 - 13*o + 39 - 32*o + d*o - 3 = 0. What is o? 1, 9 Factor 84/5 + 272/5*y + 144/5*y**2. 4*(2*y + 3)*(18*y + 7)/5 Let l = -73 + 72. Let p be 10/(2*(0 - l)). Let -6*i**4 + 12*i**5 - 2*i**2 - 6*i**3 - 9*i**5 - 5*i**p = 0. What is i? -1, 0 Let k = -138 + 418. Suppose 3*q = k - 280. Solve -4/3*c**2 + 2/9*c**3 + q + 0*c = 0. 0, 6 Determine i, given that -7473 + 4*i**4 + 169*i**3 - 12686 + 7710*i - 5*i**4 - 7389*i**2 + 13289*i + 6381 = 0. 1, 2, 83 Let i be 4 - (43/8 - 78/208). Let x(r) = 21*r**2 + 15*r - 2. Let u be x(i). Determine t so that 1/5*t**u - 2/5*t + t**2 + 0 - 4/5*t**3 = 0. 0, 1, 2 Factor 3/4*i**3 - 81/4 - 3/4*i + 81/4*i**2. 3*(i - 1)*(i + 1)*(i + 27)/4 Suppose 6 = -5*v - 14, 3*v = 4*i - 6736. Find p, given that 1681 - i - 4*p**3 - 4*p**2 = 0. -1, 0 Let v(j) = 2*j**3 + 46*j**2 - 198*j + 158. Let b(u) = -2*u + 54. Let n be b(25). Let c(a) = -a**3 - 2*a**2 + 1. Let i(d) = n*c(d) + v(d). Factor i(g). -2*(g - 9)**2*(g - 1) Let q = -1/96673 - -290024/483365. Find u such that -27/5*u - 42/5 - q*u**2 = 0. -7, -2 Let y = 3067/164646 - 1/9147. Let d(z) be the second derivative of 0 + y*z**4 + 12*z - 1/27*z**3 + 0*z**2. Let d(c) = 0. Calculate c. 0, 1 Let y(m) be the first derivative of -5/16*m**2 + 151 - 1/40*m**5 - 3/32*m**4 + 3/8*m**3 + 0*m. Determine w, given that y(w) = 0. -5, 0, 1 Let k(q) = -117*q - 15091. Let v be k(-129). Factor -1/6*n**v - 5/3*n - 3/2. -(n + 1)*(n + 9)/6 Suppose -71*q + 2*o = -68*q - 29, -3*o - 3 = 0. Let f(j) be the first derivative of 1/3*j**3 + q + 2/3*j**2 + 1/3*j. Suppose f(x) = 0. What is x? -1, -1/3 Let g(b) = 188*b + 13348. Let t be g(-71). Factor 0 - 2/9*h**4 + 0*h + 1/9*h**5 + 0*h**2 + t*h**3. h**4*(h - 2)/9 What is a in -222/7*a**2 - 220/7 + 63*a + 1/7*a**3 = 0? 1, 220 Let o(z) be the first derivative of 0*z - 41 + 5/18*z**4 + 14/27*z**3 + 2/45*z**5 + 1/3*z**2. Factor o(x). 2*x*(x + 1)**2*(x + 3)/9 Let x = 108 - -5. Suppose 122*z - x*z - 18 = 0. Factor 1 + 3/2*q + 1/2*q**z. (q + 1)*(q + 2)/2 Let o(t) = -23*t**2 + 882*t - 1726. Let r(l) = -66*l**2 + 2644*l - 5177. Let z(k) = -17*o(k) + 6*r(k). Factor z(s). -5*(s - 172)*(s - 2) Factor -46/21*c**2 - 74/7*c - 2/21*c**3 + 90/7. -2*(c - 1)*(c + 9)*(c + 15)/21 Let c(n) = -n**3 + 14*n**2 - 16*n + 40. Let a be c(8). Let o = a - 296. Factor -1/2*i**2 + o + i. -i*(i - 2)/2 Let s(b) = -b**4 - b**2 - b. Let m(u) = -10*u**5 - 46*u**4 - 50*u**3 - 2*u**2 + 32*u + 16. Let y be -2 - 4/5*(-150)/20. Let k(x) = y*s(x) - m(x). Factor k(o). 2*(o + 1)**3*(o + 2)*(5*o - 4) Let u be 1230/(-82)*((-156)/8 - 0). Let u*i**2 - 43*i + 2 - 3375/4*i**4 - 2025/4*i**3 = 0. Calculate i. -1, 2/15 Let j(z) = -5*z**3 + 48*z**2 - 684*z - 4. Let v(h) = -11*h**3 + 95*h**2 - 1370*h - 9. Let g(s) = 9*j(s) - 4*v(s). What is y in g(y) = 0? 0, 26 Let l be 34/(-17)*6/(-4). Suppose -3*j - 5*c = -17, l*j + c + 2 = 15. Factor 8 - 13 - 10*p**3 + 3*p + 7*p + 5*p**j. 5*(p - 1)**3*(p + 1) Le
{ "pile_set_name": "DM Mathematics" }
vative of 6*d*y**2 - 8367*d*y + 4727*d - 64*y**2 - 1353 wrt y. 12*d*y - 8367*d - 128*y Find the second derivative of -2*f**2*n**2 - 51*f**2*n - f**2 + 9320285*f*n**2 - 4*f + 13*n + 3 wrt n. -4*f**2 + 18640570*f Find the first derivative of 3*d**4*g + 1898172*d**3*g + 54164978*g wrt d. 12*d**3*g + 5694516*d**2*g Find the second derivative of -2586722*p**5*u - 92*p**5 - 93302377*p*u + 4*u wrt p. -51734440*p**3*u - 1840*p**3 Differentiate 227275187*s*x + 232327835*s wrt x. 227275187*s What is the second derivative of 833401475*k**5 - 764865968*k wrt k? 16668029500*k**3 What is the first derivative of 100263544*d + 172231206 wrt d? 100263544 Find the third derivative of -27108221*b**2*z**3 - 16*b**2*z**2 + b**2 + 542*b*z**2 - 35*z**2 wrt z. -162649326*b**2 Find the third derivative of 33*w**5 - 583960*w**3 - 3*w**2 + 54259232 wrt w. 1980*w**2 - 3503760 Find the second derivative of -16348501*b**4 - 1832*b - 1261. -196182012*b**2 Find the third derivative of -7*t**3*w**3 + 38*t**3*w**2 - 28235*t**3*w - 2*t**2*w**2 - 3*t*w**4 + 147244*w**4 - 2*w wrt w. -42*t**3 - 72*t*w + 3533856*w Find the first derivative of 403143273*o**4 - 391580710 wrt o. 1612573092*o**3 What is the first derivative of -1412*d*m**3 - 6870*d*m + 2412250*d + 25 wrt m? -4236*d*m**2 - 6870*d What is the first derivative of -177599345*j**4 - 150810653? -710397380*j**3 What is the third derivative of -23073266*l**3*p + 12*l**2*p - 377088*l*p wrt l? -138439596*p What is the second derivative of 501308945*u**5 + 153392917*u wrt u? 10026178900*u**3 Differentiate 2033688*p - 356240. 2033688 Find the third derivative of -572105009*u**3 + 751753811*u**2. -3432630054 What is the third derivative of -38541462*v**6 + 10647658*v**2 wrt v? -4624975440*v**3 Find the third derivative of 17898511*z**6 - 206*z**2 - 20*z + 88. 2147821320*z**3 What is the third derivative of -12*i**3*s**3 + 2*i**3*s**2 + 31800*i**2*s**3 + 2*i**2*s**2 - 6191287*i*s**2 wrt s? -72*i**3 + 190800*i**2 What is the second derivative of -50234458*c**2*p + 6*c**2 - c*p + 83*c + 30*p - 27335 wrt c? -100468916*p + 12 Differentiate -11*h**2 - 525214*h + 19446113. -22*h - 525214 What is the third derivative of 575*f**3*y + 1315*f**3 - 47*f**2*y + f**2 - 3*f - 6*y - 138 wrt f? 3450*y + 7890 Find the first derivative of 52*k**3 - 23306*k**2 + 336673012. 156*k**2 - 46612*k What is the second derivative of -10*j**2*z**3 - 11*j**2*z**2 - 106014*j**2*z + 13*j*z**3 + 7375*j*z - 29*j wrt j? -20*z**3 - 22*z**2 - 212028*z Find the second derivative of 14909876*w**4 + 2*w**3 + 1690881*w. 178918512*w**2 + 12*w Find the second derivative of 5553638*f**3 - 7957484*f wrt f. 33321828*f What is the second derivative of -10488258*q**4 + 17966613*q - 2? -125859096*q**2 What is the second derivative of 2*s**3*v**3 - 1650*s**3 - 717*s**2 + 109*s*v**3 - 3*s*v**2 - 5*v**3 - 2*v**2 + 2*v + 5 wrt s? 12*s*v**3 - 9900*s - 1434 What is the second derivative of -16148110*g**2 + 342*g - 68 wrt g? -32296220 Differentiate 285569*p*x - 118595301*p + 270*x with respect to x. 285569*p + 270 What is the first derivative of -5766653*v**2 - 1049731? -11533306*v Differentiate 1748*y**3 + 4412*y + 65130898 with respect to y. 5244*y**2 + 4412 What is the third derivative of 5366143*b**3*f - 33*b**3 + 11703*b**2*f - b**2 - b*f - 11*b - f + 2 wrt b? 32196858*f - 198 Find the first derivative of 14475*s**3 + 48*s**2 + 12*s - 402479713. 43425*s**2 + 96*s + 12 Find the third derivative of -3662398*j**3 + 3*j**2 + 85455*j. -21974388 What is the third derivative of 2*b**3*l**3 - 3*b**3*l**2 + 9334587*b**3*l - 22657*b**2 + 2*l**3 wrt b? 12*l**3 - 18*l**2 + 56007522*l Find the second derivative of -23*x**5 - 13478*x**2 + 5556810*x. -460*x**3 - 26956 Differentiate -4*o**3 - 2105*o**2 - 22*o - 38020523 wrt o. -12*o**2 - 4210*o - 22 Find the second derivative of 322773*r**2*v**3 + 14*r**2*v - r*v**3 + 19695*r*v - 5*v**3 + 2 wrt r. 645546*v**3 + 28*v What is the third derivative of 3*b**3*m + 65586*b**3*t**3 + 4*b**2*t - 211*b*m**2*t**3 - 3*b*m**2*t - 16*b*m*t**2 + 16*m**2*t wrt t? 393516*b**3 - 1266*b*m**2 What is the second derivative of 6093140*g**2*k**3 + g**2*k**2 + 4*g**2 + 12*g*k**3 - 3*g*k**2 + 6*k**3 - 631*k**2 + 5*k wrt g? 12186280*k**3 + 2*k**2 + 8 Find the second derivative of -81*g**3*m + 732131*g**3 + 51*g*m - 113*g + 27*m + 2 wrt g. -486*g*m + 4392786*g What is the third derivative of -16499957*w**3 + 3222*w**2 + 791*w? -98999742 Find the second derivative of 291537*n**3 + 180*n**2 - 273507404*n wrt n. 1749222*n + 360 Differentiate -2708450*a**3*w**3 + 2*w**3 - w**2 - 524*w - 7759 with respect to a. -8125350*a**2*w**3 What is the second derivative of -2208223*j**3 + 9810883*j wrt j? -13249338*j Find the third derivative of -45331137*l**3 + 34843957*l**2 wrt l. -271986822 Differentiate 243*h*i*j - 108*h*i - 4*h*j + 425962*h + 14*i - 35 with respect to i. 243*h*j - 108*h + 14 Find the second derivative of 770*v**4 + 4023*v**2 - 1373524*v wrt v. 9240*v**2 + 8046 What is the first derivative of -2*s**2*w - 1612708*s**2 + 5*s*w + 649783541*w wrt s? -4*s*w - 3225416*s + 5*w Find the first derivative of 156*m*v**2 + 227654*m*v + 25273*v**2 - 717*v wrt m. 156*v**2 + 227654*v Find the third derivative of 3964979*v**3 + 5803309*v**2 wrt v. 23789874 Find the first derivative of 119783546*f*w**3 + 7*w**3 - 203485*w**2 + 3*w wrt f. 119783546*w**3 Find the third derivative of 191979*c*o**3*x**3 + 4*c*o**3*x**2 - 4*c*o**3*x + 6*c*o*x + 32*o**2*x**4 + 21*o**2*x**2 - 1019*o*x**2 wrt x. 1151874*c*o**3 + 768*o**2*x Find the first derivative of -20278808*k**4 + 6181041. -81115232*k**3 Differentiate -d*m**2 - 7418467*d*m + 522508903*d + 5*m**2 with respect to m. -2*d*m - 7418467*d + 10*m Find the third derivative of -4*j**6 - 300*j**4 - 77*j**3 - 9925896*j**2. -480*j**3 - 7200*j - 462 Find the third derivative of 11642143*a**6 - a**4 - 29087474*a**2. 1397057160*a**3 - 24*a What is the third derivative of 6248409*g**2*s**5 - 11*g**2*s - 8984*g*s**2 - 6*s**5 - 2*s**2 - s - 21 wrt s? 374904540*g**2*s**2 - 360*s**2 Find the third derivative of 7*t**5 - 2314731*t**3 + 24801*t**2 + 565. 420*t**2 - 13888386 Find the second derivative of -56120733*f**5 - 7276028*f - 6 wrt f. -1122414660*f**3 What is the third derivative of -121510769*f**4*z**3 - f**3*z**3 - f**2*z**3 + 5264880*f*z**3 wrt f? -2916258456*f*z**3 - 6*z**3 What is the second derivative of 60520045*f**2 + 60277181*f? 121040090 What is the third derivative of -2*n**5 + 95587*n**4 - 3*n**3 - 2*n**2 - 4448937*n? -120*n**2 + 2294088*n - 18 What is the third derivative of -197296658*j**5 + 166291804*j**2? -11837799480*j**2 Differentiate -5*v**4 + 17*v**2 + 852*v - 5668925 with respect to v. -20*v**3 + 34*v + 852 What is the third derivative of -3*b**6 + 2319769*b**3 + 40660035*b**2? -360*b**3 + 13918614 What is the second derivative of -4084*a**2*g*y**3 - 10246*a**2*y**3 - 2*a*g*y**3 - 10*a*g*y**2 + a*g*y - 2*a*y**3 + 527*a*y + 241*y wrt a? -8168*g*y**3 - 20492*y**3 Differentiate 87471406*i - 58101914 wrt i. 87471406 Find the second derivative of -84*j*l**3 + 6*j*l**2 - 12283*j*l + 2*j + 10*l**3 + 993*l**2 + 8*l + 27 wrt l. -504*j*l + 12*j + 60*l + 1986 What is the second derivative of -65377*h**2*n + 2*h**2 - 10*h*n + 5272*h + 2*n - 178 wrt h? -130754*n + 4 Find the third derivative of 13432506*q**3 - q**2 + 41049*q + 53 wrt q. 80595036 What is the derivative of -39237273*r**2 + 60073777? -78474546*r Differentiate 34*g**2*j*o + 4*g**2*j + 3*g*j - 470043*g + 15*j*o - 602*o wrt o. 34*g**2*j + 15*j - 602 Find the second derivative of 2*s**3*y + 6*s**3 + 5371*s**2*y + 37*s**2 - 335678*s*y - s + 2*y wrt s. 12*s*y + 36*s + 10742*y + 74 Differentiate -7032746*l**2 - 10056113. -14065492*l What is the third derivative of 248403*l*t*v**3 - 4*l*t + 191*l*v**3 - l*v + 484*l + 3*t*v + 186*v**2 wrt v? 1490418*l*t + 1146*l Find the second derivative of 182796370*c**5 - 1345639*c + 9. 3655927400*c**3 Find the second derivative of -2*c**2*s**3 + c**2*s**2 + 272286*c**2*u - 12*c*s**3*u + 56*c*s + 3*c - 2*s**2*u - 493*s wrt c. -4*s**3 + 2*s**2 + 544572*u What is the second derivative of -31*b**5 - 276*b**2 + 2893*b - 241? -620*b**3 - 552 Find the second derivative of -2*h**2*z - 17852919*h**2 - 2*h*z - 4*h - 7470836 wrt h. -4*z - 35705838 What is the fi
{ "pile_set_name": "DM Mathematics" }
et k be s(8). What is the highest common factor of k and 28? 7 Suppose 3135 = 21*m + 720. What is the highest common divisor of 184 and m? 23 Suppose 0*a + 18 = 6*a. Let v(t) = 0 - 3*t**2 + 8 - t**2 - 5*t - 2 + t**a. Let q be v(5). What is the greatest common divisor of 12 and q? 6 Suppose -4*l = -22 - 26. Let u(t) = t - 5. Let v be u(l). Let f be (-3)/v + (225/35 - 0). Calculate the highest common divisor of 12 and f. 6 Let x be (-15)/6*2*(-324)/45. Suppose -a - q + 84 = a, -q - x = -a. Calculate the greatest common divisor of a and 540. 20 Suppose -v = 3*k - 165, -k - 191*v + 59 = -192*v. Calculate the highest common divisor of 371 and k. 7 Let b = 4 + -2. Suppose z = b*s + 302 - 45, -3*z + 755 = 2*s. Suppose -115 = -7*n + 2*n. What is the greatest common factor of z and n? 23 Suppose -2*m = -8, -49*i + 50*i = -3*m + 1347. What is the greatest common divisor of 120 and i? 15 Suppose 4*n - 647 = 4*c + 485, -2*c + 4 = 0. Let p = n - 282. Calculate the highest common divisor of p and 19. 1 Suppose -3*i + 690 = 249. Suppose 2402*w + 23523 = -5001*w + 1165*w + 60951. Calculate the highest common factor of i and w. 3 Let a = -2069 + 2077. What is the greatest common factor of a and 356? 4 Suppose 0 = -k + 30 + 25. Let y = -30 + k. Let g be (23 - y)/(-1*2/12). What is the highest common divisor of 60 and g? 12 Let h(x) = -16*x**3 + 164*x**2 - 4*x - 88. Let m be h(10). What is the greatest common factor of m and 3128? 136 Let u(y) = -503*y - 4302. Let o be u(-10). What is the highest common factor of o and 832? 104 Let g(c) = c**3 - 23*c**2 - 86*c - 78. Let o be g(28). What is the greatest common factor of 6 and o? 6 Let v(j) = 2*j**2 + 84*j + 87. Let o be v(-41). Suppose -c = o, 5*l - c + 15 = 80. What is the highest common divisor of 12 and l? 12 Let x be (336/98)/((-16)/(-280)). What is the highest common divisor of x and 1275? 15 Let n be ((-8)/28 - (-18)/14)/1. Let g be (n - -2)/((-18)/(-12)). Suppose -67 = -g*r + 17. What is the highest common factor of 63 and r? 21 Suppose -11*u = -6*u - 220. Let c = 5 - 0. Suppose -5*g - 34 = -4*f, c*f - 7*g = -3*g + 47. What is the greatest common divisor of u and f? 11 Let b(c) = c**2 + c. Let l be b(0). Suppose -5*d + 190 + 405 = l. Let x = 7162 - 7155. What is the highest common divisor of d and x? 7 Suppose -37 = 2*y - 27. Let t be (-12)/y + 30/50. What is the greatest common divisor of 3 and t? 3 Suppose 2*j + 1246*u - 1243*u - 8963 = 0, 0 = 4*j - 3*u - 17899. Calculate the highest common divisor of 111 and j. 37 Suppose -29 = -5*g - 2*r, 13 = 3*g + 4*r - 5*r. Suppose 30 = 5*w + g. Suppose j = 3, -s + 26 + 10 = w*j. What is the highest common divisor of 3 and s? 3 Suppose 0 = -5*g + 30, a - 357 - 114 = g. Calculate the greatest common divisor of a and 396. 9 Let v(f) = 36*f**2 - f + 7. Let b be v(3). Let i be 0/2 + 2 + b. Suppose 5*l - i = 2*l. Calculate the greatest common factor of l and 10. 10 Let h(l) = l**2 + 45*l - 638. Let q be h(-65). Calculate the greatest common divisor of 2979 and q. 331 Suppose 3059*j - 92094 = 3045*j + 103374. What is the greatest common divisor of j and 1432? 358 Let k be 238 - (-6 + -17 + 21). What is the greatest common divisor of 240 and k? 240 Let u = -218 + 358. Suppose -3*i - 520 = 4*n - 5*n, -2*n = -2*i - 1020. Let c = n - 477. What is the greatest common factor of u and c? 28 Suppose 36*z - 67574 = 8*z + 168410. Calculate the greatest common factor of 49 and z. 49 Let j = 6 - -4. Let f(n) = 279*n**2 - 14*n - 6 + n**3 - 322*n**2 + 35*n**2. Let i be f(j). What is the highest common divisor of i and 72? 18 Let l = -86 - -145. Suppose -l + 43 = -2*y. Calculate the highest common factor of y and 240. 8 Suppose 0 = 5*i - 20, -4*j + j - i = -154. Suppose 0 = -26*o + 281703 - 278453. What is the greatest common factor of o and j? 25 Suppose 284*u = 285*u + 2*k - 2, -3*u - 2*k + 22 = 0. What is the greatest common divisor of 12370 and u? 10 Suppose 5*z = 3*o + 50, -127*z + 123*z + 3*o = -40. What is the greatest common divisor of z and 5040? 10 Let v(s) = 8*s**2 + 2*s - 8. Let d be v(-4). Let j = 7 - 3. Suppose j*r - 2*n = d, 170 = 5*r + 4*n + n. What is the highest common factor of r and 15? 15 Let a(i) = 3*i**2 + 63*i + 71. Let r be a(-20). What is the greatest common factor of r and 451? 11 Let x(u) = -u**3 + u**2 - 2*u - 3. Let n be x(-3). Suppose 4*s + 1042 - 202 = 0. Let m = -197 - s. Calculate the greatest common factor of m and n. 13 Let h(c) = -18*c - 54. Let x be h(-4). Suppose 3*r + 8 = -2*l + 4, r + 4*l = -x. Calculate the highest common divisor of r and 2. 2 Let j(h) = 5*h**2 - 13*h - 50. Let x be j(10). Let f = x - 314. What is the greatest common divisor of f and 186? 6 Let g = 13 + -13. Suppose -2*u = 2*n - 48, g*u + 5*n = -2*u + 60. What is the highest common factor of u and 220? 20 Let v be (10/(-6))/((-1470)/63504). Suppose 0 = 4*k + 3*t - 96, -k = -6*k - 3*t + 123. Calculate the greatest common divisor of k and v. 9 Let g(c) = -c**3 - 10*c**2 + 23*c - 20. Let j be g(-12). Let l(x) = -x**3 - 7*x**2 + 6*x - 1. Let t be l(j). What is the highest common divisor of 75 and t? 15 Let l be ((-131)/7 - -17)/(3/(-28)). Calculate the greatest common divisor of l and 1616. 16 Let d = 335 - 235. Calculate the greatest common factor of 9650 and d. 50 Let y be 82/26 - (-10)/(-65). Suppose 2*c = -5*i + 305, 3*i - y*c - 220 = -58. What is the highest common divisor of 59 and i? 59 Let i be 240/(-9)*39/26. Let p be (-31 - i)/(6/22). What is the highest common factor of p and 6? 3 Suppose 263 = 2*g - 149. Let m = 367 - g. Let o = -81 + m. Calculate the highest common divisor of o and 32. 16 Suppose -52350 = -33*t + 11142. Calculate the greatest common factor of 222 and t. 74 Let q be ((-172)/6)/(12/(-54)). What is the highest common divisor of q and 3? 3 Let x be 43 + -15 - 6/2. Let i = x + -23. Let t(u) = u**2 - 9*u + 10. Let n be t(8). What is the highest common factor of i and n? 2 Let w(s) = s**3 - 22*s**2 - 50*s - 18. Let x be w(26). Let a be -18*(x/(-12))/7. What is the highest common factor of a and 11? 11 Let j(t) = -9*t**3 - 4*t**2 - 4*t - 13. Let n be j(-4). Let u = -505 + n. Suppose 0*g - 2*g = -20. What is the greatest common divisor of u and g? 10 Suppose -5*n + 179 = -4*h, 906*h - 31 = -n + 908*h. Let z(r) = 40*r - 2. Let m be z(2). What is the greatest common factor of n and m? 39 Suppose -6*g + 9 = -33. Let a be 152 + (-6)/g*70/(-15). Let x be (-440)/a*-12 - 4/(-26). Calculate the greatest common divisor of 238 and x. 34 Let v = 5007 + -4071. Calculate the highest common factor of 18 and v. 18 Suppose 0 = 252*s - 65498 - 51682. Calculate the highest common divisor of s and 165. 15 Suppose 8*t - 81 - 31 = 0. Let j be 6/t + 585/105. Suppose 5*p - 2*y + j*y - 27 = 0, -2*p = -2*y. What is the highest common factor of p and 2? 1 Let b(x) = 818*x + 17199. Let j be b(-21). Let k be (2 + 1 - 2) + 20. Calculate the highest common factor of k and j. 21 Let y(h) = -16*h**2 - 8*h - 4. Let l be y(-2). Let o = -52 - l. Suppose o = d + 28 - 36. Calculate the greatest common divisor of 80 and d. 8 Let j(g) = 914*g + 17374. Let w be j(-19). What is the highest common factor of w and 30584? 8 Let a(c) = c**3 - 3*c**2 - 4*c - 3. Let l be a(5). Let k be ((-9)/(-3))/((-3)/6). Let b be 0/(k - -3) + 3. What is the greatest common factor of l and b? 3 Suppose 23382 + 86239 = 81*t + 22141. What is the highest common factor of t and 330? 30 Let n(s) = -293*s - 1695. Let v be n(-6). What is the greatest common divisor of v and 7? 7 Suppose 106885 - 332250 = -35*f. Calculate the greatest common factor of 235 and f. 47 Let q(a) = 41 + 23*a - 42*a + 22*a. Let d be q(-7). Calculate the greatest common factor of 340 and d. 20 Suppose 5*r = -2*w + 2129 - 637, 3*w + 5*r - 2248 = 0. Suppose -i + w = 11*i. Let j be (1 - -2)/((-2)/(-6)). Calculate the greatest common factor of j and i. 9 Let o(u) = -25*u**3 + 2*u**2 + 2*u + 1. Let j be o(-1). Let x be 28/3*(45/6)/5. Suppose -116 - x = -2*m. What is the highest common divisor of m and j? 13 Let r(s) = 5*s**2 - 8*s + 14. Let u be (320/60)/(0 - (-2)/3). Let z be r(u). Calculate the highest common factor of z and 30. 30 Let d(g) = -g**2 - 53*g + 107. Let r be d(-51). What is the greatest common factor of 152 and r? 19 Let g(f) = 7*f**2 + 97*
{ "pile_set_name": "DM Mathematics" }
ve -s*h - 3*h + 3*t + y = 0, 2*h - 9 = -5*t for h. 2 Suppose 3*z = 5*h - 7, 3*h - 4*z - 3 = -1. Solve -13 = -4*l - q, -2*q = -l - h - 6 for l. 2 Let m = -2 - -3. Let c = m - -2. Solve 3*h + 17 + 2 = -2*o, -c*o = h + 18 for o. -5 Let n = -10 - -19. Suppose -n = -2*j - j. Suppose -4*i + j*i + 3 = 0. Solve 0 = -4*f - 3*r + 14, -2*f - i*f - 5*r + 15 = 0 for f. 5 Suppose -8 = 3*s - 5*s. Let l = -14 - -24. Solve s*b - 12 = 3*g + l, -g - 2 = 0 for b. 4 Let o = 24 - 21. Solve 5*t + 3*v - v - 18 = 0, 2*v - 14 = -o*t for t. 2 Let z(v) = -v**2 + 11*v - 5. Let q be -3*((-10)/6 - 1). Let m be z(q). Suppose -m = -4*a + 5. Solve 5*x - 3*s = -2*s - a, 0 = 4*x - 5*s + 9 for x. -1 Let m = -11 + 23. Suppose -m = -3*i - 0*i. Solve 4*u = -c + i - 3, -4*c = 3*u - 17 for c. 5 Suppose -2*u - 126 = -5*u. Let f be (4/(-7))/((-12)/u). Solve f*i - 15 = -5*q + 7*i, 5*q + 3*i = 23 for q. 4 Let p(j) = -12 - 4*j**2 - 4*j**2 - 5*j**3 + 4*j**3 - j**2 - 10*j. Let v be p(-8). Solve 4*d = q + 5, v = 2*q + d + 14 for q. -5 Let u(b) = b**3 - 5*b**2 + 4*b + 5. Let i be u(4). Solve 0*s + 5*s + a - 5 = 0, i*s + 10 = 2*a for s. 0 Let j(r) = -r**3 + 6*r**2 - 4*r - 7. Let g = 2 - -3. Let k be j(g). Let w = k - -7. Solve w*v = 3*v - 4*o - 12, 0 = 3*o + 12 for v. 2 Let z be 1*(-1 + 2)*2. Suppose 3*r = 8*r - 15. Suppose 0 = 3*f - 2*a - 14, -z*f + r*f - 4*a - 8 = 0. Solve 0 = -2*k + 2*n - f, 3*n = -2*k + 3 - 2 for k. -1 Let q(a) = -4*a + 0*a + 7 + 3*a. Let n be q(5). Solve 8 = n*f - 2*j, 2*f + 16 = -2*f - 4*j for f. 0 Suppose 0 - 2 = -h. Suppose 3*u - 18 = h*u. Solve 21 = 5*y - p, 0 = 5*y - y - 2*p - u for y. 4 Suppose 0 = -j - 2, j - 6 = -3*k - 2*j. Suppose -4*l + 2 + 5 = z, -5*z = 2*l - 17. Solve 6 = -z*d - 3*a, 0*d + a - 4 = -k*d for d. 2 Let m = 0 - -2. Solve 2*t - 1 = 3*v - 3, 4*t = 3*v + m for v. 2 Let h(l) = l**3 - 6*l**2 + 8*l - 5. Let f be h(5). Solve -4 + 10 = 4*n - 3*w, n - 5*w - f = 0 for n. 0 Suppose -6*y = -10*y + 28. Solve -4*c = 5*h, -3*h + y*h = 0 for c. 0 Let k = 45 - 40. Solve -8 = -5*r - 2*t, -4*r = -3*t + 7 + k for r. 0 Suppose -4*r = 31 - 127. Solve 0 = 4*u - 16, u + r = -4*b + 3*u for b. -4 Suppose 0 = d + l + l - 4, 2*l + 8 = 5*d. Suppose -14 = -2*q - d. Let n be 237/q + (-6)/(-4). Solve 3*p + 3 = -3*z, -n = -4*z + 5*p - 0*p for z. 4 Let q(f) = 2*f**2 + 2*f - 7. Let m be q(-3). Solve -3*x = -4*a - 17, 0 = -10*x + 5*x - m for a. -5 Let g be ((-4)/2 - 1) + 5. Suppose -g*s = 5*h - 4, 4*h + 5*s = 2*s - 1. Solve 4*l = -5*w - 3, -l + h*l - 9 = 2*w for w. -3 Suppose 0 = -v + 2*v - 4. Suppose 8 = -v*s + 6*s. Solve -s*x - 5*i = -x - 26, -2*i + 2 = -3*x for x. 2 Suppose 0 = -7*m + 2*m + 20. Suppose -m*y = 2*c - 0*y - 44, -80 = -4*c - 4*y. Solve 3*v + c = 5*h - v, -5*v - 6 = 2*h for h. 2 Suppose p - 4*g = -13 - 1, 5*g = -4*p + 28. Suppose 0 - 13 = -t - m, -t + 4*m = -28. Solve 4*l = -p*y - t, -y - 2*y = l - 1 for y. 2 Suppose -5*l = -3*x - 2*x, -3*l + 3 = -2*x. Suppose 2*p = x*p. Solve 4*g + 4 = -0*g + 3*k, p = g + 5*k - 22 for g. 2 Let v be (80/15)/(4/6). Suppose 2*p = v - 0. Let o(f) = -f**3 + 10*f**2 + 3. Let b be o(10). Solve b*d + 22 = -p*c, 4 + 12 = -3*c - 2*d for c. -4 Suppose 0 = 4*k + 1 - 13. Suppose u + 18 = 2*z + 6*u, 11 = -k*z + 2*u. Let a be (-4 - (2 - 1))*z. Solve 2*x = -5*w - 15, 0*w + a*w + 15 = 3*x for x. 0 Let x(h) = -11*h**3 + 2*h - 1. Let k be x(1). Let t = k - -12. Solve t*d + 0*d + 7 = b, -3*b = -3*d - 9 for b. -1 Let g = 12 - 8. Solve -r - 11 = 5*x - 5*r, x + r = -g for x. -3 Let j = -3 + 4. Let m be 4/(-22) - (-26)/22. Let v = m - j. Solve 2*p - 17 + 3 = 5*k, 3*k - 2*p + 10 = v for k. -2 Let z(l) be the third derivative of -l**5/60 + l**4/4 + 2*l**2. Let d be z(5). Suppose 4*v = v + 6. Solve -2*q = -3*k + 3, 3*k - 14 = d*q + v*k for q. -3 Suppose 0 = -4*d - 2*u + 40, -3*d + 3*u = u - 23. Let m = 14 - d. Solve m*n + k = 15, -12 = -4*n + 3*n - 2*k for n. 2 Suppose k - 1 = 1, 2*k - 13 = -3*o. Suppose -u + o = 0, g - 3*u = 2*u - 10. Solve 0 = 3*d - 3*z - 3, -g*d = 5*z + 13 + 32 for d. -4 Let r be 1*(0 + -2)*-1. Let o = 2 - r. Solve -4*f + 25 = 2*p + 9, o = 4*p + 5*f - 20 for p. 0 Let q be (-1)/(4/(-24) - 0). Solve -t - 9 = -4*f, 3*f + 2*t + q = -f for f. 1 Suppose -60 = -5*c - 7*c. Solve -18 = -3*g + 2*o, 0 = -c*g - 5*o + 6 - 1 for g. 4 Let y be (2 - -5) + 1/(-1). Suppose 3*v = y + 15. Let n = v + -4. Solve 40 = 5*l + n*r - 0*r, -5*l - 4*r + 45 = 0 for l. 5 Let a = -34 - -41. Solve a*c = 3*c + 2*o + 16, 0 = -3*c - 5*o - 1 for c. 3 Let b(l) = 2*l**3 - l**2 + 2*l - 1. Let j be b(2). Let p be (j/(-6))/(2/(-4)). Solve -2*q - 3*c + 7 = -3*q, -4*c + p = 3*q for q. -1 Suppose -p - 1 = -6. Solve p*s - 5*n + 30 = 0, 0 = 3*s - 3*n + n + 16 for s. -4 Let p(m) = -m**2 + 11*m + 17. Let k be p(12). Solve 6*x - k*x = 2*v - 5, -3*v + 25 = 2*x for x. 5 Let z be 1 + ((-3)/3 - 1) + 4. Solve -6 = -c + y, y + 14 = -c - z*y for c. 2 Suppose -36 = 4*k + 3*y + y, 2*y + 29 = -3*k. Let u = -11 - k. Solve u = -4*h + 3*s + 16, 5*s - 21 = -4*h - 5 for h. 4 Let v(o) = 9*o**2 + 1. Let r be v(-1). Solve -5*w - 30 = -r, w + 10 = -2*u for u. -3 Let z = 8 - 4. Let i = 1 - -6. Suppose -10 = -0*b - 2*b. Solve 5*l - 6*k = -i*k - 7, 0 = b*l + 2*k + z for l. -2 Let q(r) = -r**3 - 5*r**2 - 2*r + 2. Let u be q(-2). Let p = u - -6. Solve -3*k = -2*k + 5*a - 18, k - 4*a + 9 = p for k. 3 Let y = -60 - -62. Solve y*d = s + 9, -12 = 4*s - 0*d + 4*d for s. -5 Let s(y) = -y - 13. Let h be s(-18). Solve 3*x = -m + 8, 15 = -5*x + 5*m - h for x. 1 Let v = -19 - -31. Let k = v - 9. Solve 4*l + 15 = -t, -5*l = -k*t - 0*l + 40 for t. 5 Suppose 2*i - 2*h + 22 = 0, -31 = 3*i - i + h. Let c be (-30)/(-8) - i/56. Solve -u = 4*k + 2, -4*u = -k - c*k + 8 for u. -2 Suppose 3*k - r = -5*r - 9, 2*k - 2*r = -6. Let s be k/(-6) - 18/(-4). Solve 3*p = -s*i + 5*p - 6, 4*p = 3*i + 12 for i. 0 Let t = 73 - 58. Solve -2*g = -5*f + 35, 3*f - g - t = f for f. 5 Let a(f) = f**3 + 3*f**2 + 4*f + 2. Let m be a(-2). Let k be (m/(-2))/(-1)*-4. Solve -5*t + k*p - 10 - 8 = 0, -5*p = -10 for t. -2 Suppose 4*w + 12 = 3*a, -2*a - 6 = w - 3. Solve -5*h + m - 6 = a, h + 3*h + 2*m = -2 for h. -1 Let a(r) = -r**2 - 4*r + 1. Suppose 5*h + 4*m - m = -12, 2*h - 2*m = -8. Let u be a(h). Solve -u*i + 14 = -5*t, 4*i = t - 3*t for i. 1 Let c(b) = 3*b - 2. Let r be c(2). Suppose 2*f + 4*z = -12, 3*f - z - 13 = r. Solve -3*p + 15 = 0, -p + f*p - 35 = 4*d for d. -5 Let p = -66 + 43. Let m = 61 + p. Let k = m - 13. Solve -o - 3*d + 7 = -0*d, -k = -5*o - 5*d for o. 4 Let h be 16/(-3) - 6/(-18). Let k be 1/h*-2*5. Solve 4*s + 2*n - 10 = 0, -k + 7 = 4*s + n for s. 0 Suppose 4 = 10*p - 26. Solve 2*d + y = -p*y + 26, 0 = 3*d - 2*y + 1 for d. 3 Suppose h - 5 = -4. Let f be ((1 - 2) + 6)/h. Let r = 11 + -7. Solve y + r*x = -4, y - 1 = 3*x - f for y. -4 Suppose 2 = 3*x - 2*b, 4*x = -b - 1 - 0. Solve -4*k = -2*h + 12, x = 4*k + 4*h - 21 + 9 for k. -1 Let v(c) be the third derivative of c**4/24 + 2*c**2. Let f be v(6). Solve -3*b - 7 = -4*b - 3*q, 0 = 3*q - f for b. 1 Let n = 67 + -65. Let w be (-2)/(-8) + 2/(-8). Suppose 0 = -3*l - o + 3, w*l + o - 3 = -2*l. Solve l = -j + 2*d - 5, 2*j - n*d + 1 = -1 for j. 3 Let b be (15/10)/((-6)/(-52)). Solve -4*c - 5*i = -b, i + 3*i = -c + 17 for c. -3 Suppose -3*r + 0 = c - 10, 0 = -3*c - 2*r - 5. Let a be c/(10/(-6)) - -2. Solve 2*w - 5 = n, a*n + 17 = -0*w + 2*w for n. -3 Suppose 3*z - 8 + 2 = 0. Suppose z - 7 = -j. Solve v - 5*t - 11 = 0, -4*v + j = -5*t - 9 for v. 1 Let n = 118 - 114. Solve -n = -r + 4*r + i, 3*r = 3*i - 24 for r. -3 Let m(g) = -3*g + 3. Let k(s) = s. Let l(z) = -4*k(z) - m(z). Let h be l(-3). Suppose 15*t - 15 = 12*t. Solve h*f - 1 = -f - 5*a, -2*a = -t*f + 5 for f. 1 Let y be (-1)/(-3)*(5 + -2). Let o = 45 + -40. Suppose 2*q = o*n - 4 - y, 0 = q + 3*n - 3. Solve -w + 4*d + q*d = -13, -3*w + 3*d = -21 for w. 5 Suppose -5*b + 2*v = -8 - 1, 3*v = -6. Solve 4*y + 3 = -13, -n = y + b for n. 3 Suppose 12 = 3*f - 0. Suppose -q = q - f. Suppose -5*y + m + 22 = 0, 4*m - q = -3*y + 2. Solve 5*d = n - 0*d - 4, d + y = n for n. 4 Let t = 63 + -61. Solve 0 = -4*h, -8 = 2*d - h - t*h for d. -4 Let j = 35 - 31. Solve -p = 4*p - n + 8, -j*n - 10 = p for p. -2 Let p(z) = -z**2 + 20*z + 8. Let c be p(19). Solve -d - 10 = 3*k + 5, 3*k + 5*d = -c for k. -4 Let w be -4*(-2)/((4 + -2)/2). Solve m - w = 4*t - 0*m, -t = 4
{ "pile_set_name": "DM Mathematics" }
inutes are there between 1:07 PM and 1:43 PM? 36 What is 39 minutes before 12:31 PM? 11:52 AM What is 661 minutes before 11:16 AM? 12:15 AM How many minutes are there between 1:29 AM and 1:11 PM? 702 How many minutes are there between 7:52 AM and 7:40 PM? 708 What is 386 minutes after 8:33 AM? 2:59 PM How many minutes are there between 4:50 AM and 7:36 AM? 166 What is 700 minutes after 7:27 AM? 7:07 PM How many minutes are there between 1:01 PM and 8:26 PM? 445 How many minutes are there between 3:11 AM and 8:31 AM? 320 How many minutes are there between 7:03 AM and 9:55 AM? 172 How many minutes are there between 9:27 PM and 11:33 PM? 126 What is 254 minutes before 12:50 AM? 8:36 PM How many minutes are there between 7:34 AM and 8:36 AM? 62 What is 492 minutes before 10:26 AM? 2:14 AM What is 325 minutes after 11:29 AM? 4:54 PM How many minutes are there between 7:45 AM and 5:27 PM? 582 How many minutes are there between 11:20 AM and 4:09 PM? 289 What is 160 minutes after 8:42 PM? 11:22 PM How many minutes are there between 3:15 PM and 3:27 PM? 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51 How many minutes are there between 6:45 AM and 5:01 PM? 616 What is 474 minutes after 5:01 PM? 12:55 AM How many minutes are there between 9:43 PM and 7:34 AM? 591 How many minutes are there between 8:47 PM and 4:48 AM? 481 How many minutes are there between 3:30 PM and 8:39 PM? 309 How many minutes are there between 12:01 AM and 3:28 AM? 207 What is 137 minutes after 1:58 PM? 4:15 PM How many minutes are there between 12:12 PM and 5:14 PM? 302 How many minutes are there between 1:40 AM and 1:34 PM? 714 How many minutes are there between 4:09 AM and 3:42 PM? 693 How many minutes are there between 4:52 PM and 9:52 PM? 300 How many minutes are there between 7:03 PM and 10:58 PM? 235 How many minutes are there between 7:32 AM and 12:02 PM? 270 How many minutes are there between 8:10 AM and 3:22 PM? 432 What is 663 minutes before 8:32 AM? 9:29 PM How many minutes are there between 6:24 AM and 6:23 PM? 719 How many minutes are there between 8:27 AM and 1:04 PM? 277 What is 439 minutes before 7:18 AM? 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4:49 PM How many minutes are there between 6:57 PM an
{ "pile_set_name": "DM Mathematics" }
g be 15*((-22)/5 + 4). Let r(t) = -34*t - 36. Does 21 divide r(g)? True Let q(l) = -l**2 + 21*l + 36. Let c be q(21). Suppose 0 = -52*r + c*r + 3280. Does 42 divide r? False Let n(k) = -k**2 + 275*k + 1076. Is n(63) a multiple of 41? True Suppose 68*z = 90*z - 9218. Let x(c) = -143*c + 2. Let g be x(-3). Suppose -3*y + z = 2*y - n, 0 = -5*y + 4*n + g. Is 32 a factor of y? False Suppose -5*h = -4*q - 147, 0 = -q + 2*h - 7 - 29. Let g = q - -42. Suppose 5*s = -g*m + 336, -2*s - 4*m - 2 = -146. Is s a multiple of 16? True Let o(b) = b**3 + 7*b**2 - 14*b + 13. Let m(j) = j + 6. Suppose 3*d + 30 = -3*s - 3, 5*d + 2*s + 61 = 0. Let k be m(d). Does 17 divide o(k)? False Suppose j - o = 9, 4*o - 5*o = 2*j - 30. Let a(r) be the third derivative of r**5/60 - r**4/24 + 4*r**3/3 + 1802*r**2. Is 12 a factor of a(j)? False Let n = 3080 + -1204. Is 28 a factor of n? True Is 12 a factor of (-285)/19 - -8274 - -9? True Suppose -13289 = -4*b - 3*u, 21*b - 6649 = 19*b - u. Is b a multiple of 30? False Suppose -7*b + 60424 = -11081. Is b a multiple of 17? False Suppose 52*l - 12*l = 212520. Is l a multiple of 36? False Let k(w) be the first derivative of w**4/4 - 8*w**3/3 - 7*w**2/2 + 12*w + 1. Let b(s) = s**2 + 31*s + 67. Let g be b(-29). Is 16 a factor of k(g)? False Let j = -2002 - -2386. Is j a multiple of 2? True Suppose 3*z - 92 = -14. Suppose -5*q + z = 16. Is 5 - (q/(-1) + -1) a multiple of 3? False Let b(c) = -5*c - 5. Let y be b(-1). Let k be -127*(y - 2) - 5. Suppose -7*g + 1523 = k. Does 15 divide g? False Suppose 78*y - 30874 - 30030 = -7396. Does 17 divide y? False Let t(y) = -y + 14. Let w be t(4). Suppose 279 + 121 = w*m. Suppose 0 = 2*j - m - 52. Is 17 a factor of j? False Suppose 0 = -5*r + 19421 - 2991. Let k = -2116 + r. Suppose 14*v - v - k = 0. Is 45 a factor of v? True Let n(m) = 5*m**2 - 55*m + 3*m**3 - 5 + 0*m**2 + 56*m. Let w be n(-4). Let k = 171 + w. Is k a multiple of 9? False Let i be -37*(2 - 4 - -3). Suppose 0*f - 8*f - 480 = 0. Let r = i - f. Does 23 divide r? True Suppose -4*u + 5*n + 804 + 1571 = 0, 4*n - 620 = -u. Is u a multiple of 3? True Is (-34 + 39)/(5/1772) a multiple of 13? False Let h(p) be the first derivative of -23*p**2/2 - 5*p + 1. Let u = 2969 - 2971. Does 36 divide h(u)? False Let a = -17 + 22. Is a/(41/8 + -5) a multiple of 5? True Let a = -10900 + 36569. Is a a multiple of 11? False Suppose -4*p = -4*h - 3344, -p + 3*h + 744 + 84 = 0. Suppose 9*y - p = -11*y. Is y a multiple of 9? False Let g(v) = -3834*v - 5037. Does 17 divide g(-8)? False Suppose -4*j + 776 = 11*u - 13*u, 776 = -2*u - 2*j. Is 7/((-14)/u) - 32/(-8) a multiple of 18? True Let c(v) = 14*v + 11949. Is c(-156) a multiple of 3? True Let c(s) = -s + 2 + 2*s**2 + 9 + 1. Suppose -3*b = -18, -4*f - 2*b = -0 - 12. Does 3 divide c(f)? True Let w = 1594 + -3560. Let s = -910 - w. Is 16 a factor of s? True Let u = 27 - 29. Let f be (6/(-8))/(u/728)*-1. Let l = 51 - f. Does 27 divide l? True Let f = -31926 - -46325. Does 14 divide f? False Let f = 381 - 376. Suppose a - 6*z + 10*z - 472 = 0, -f*a + 4*z = -2384. Is 9 a factor of a? False Let q be (6 - 2) + -32*(-57)/6. Let n = q - 84. Is 56 a factor of n? True Suppose -54 = 4*n - 346. Suppose -4*x + 152 = -4*y, 0 = 3*x - 5*x + y + n. Is 7 a factor of x? True Does 26 divide -98*(-455)/(-260)*(-788)/14? False Suppose -m = -4*y - 42, 5*y + 59 = -2*m - 0*m. Let f(g) = g**3 + 14*g**2 + 9*g + 3. Let q be f(y). Let w = -127 + q. Is 10 a factor of w? True Let h(n) = -9*n**3 + 11*n**2 + 47*n + 11. Is h(-7) a multiple of 171? False Let p be (4 + -2)*55/22 - -236. Let r = 593 - p. Does 16 divide r? True Suppose 68*f - 415*f + 1588262 = 134*f. Is f a multiple of 13? True Is 23 a factor of 787 - ((-2280)/32)/19*(-12)/9? True Suppose -5*t = -3*m - t - 1170, -1185 = 3*m + t. Let c = -58 - m. Does 14 divide c? True Let p(i) = 9*i - 54. Let v be p(6). Suppose -2*t + 3920 = 6*t. Suppose -d - t = -4*m, -2*m - 2*d + 6*d + 252 = v. Does 13 divide m? False Let j(k) = -k**2 - 84*k - 319. Does 10 divide j(-56)? False Let d = 15338 + -2123. Is 75 a factor of d? False Suppose -3*w + 5*w = -2*r + 10, -14 = -w - 4*r. Suppose 2*k = -3*l + 3*k - 138, -w*k + 231 = -5*l. Let f = 112 + l. Is 17 a factor of f? False Let b = 16383 + -6849. Does 124 divide b? False Let z(j) = j**3 - 10*j**2 + 15*j + 24. Let u be z(7). Let t(o) = -2*o + 33. Is t(u) a multiple of 17? False Suppose 25*z = 488 + 37. Suppose 55 = 2*n + z. Is 17 a factor of n? True Let m(u) = 2*u**2 + 137*u - 185. Is 9 a factor of m(-100)? False Let z be (5/2)/((-45)/(-90)). Suppose z*d + 11 - 66 = 0. Does 11 divide d? True Let j(c) = 22*c**2 - 56*c - 298. Does 62 divide j(-16)? False Suppose 0 = f - 3*k + 3, -7*f + 6*f - 3*k + 15 = 0. Let y(l) = l**3 - 3*l**2 - 4*l + 35. Does 12 divide y(f)? False Suppose 23*b - 5533 = 26345. Is 24 a factor of b? False Suppose -7*g = -4*g - 6. Suppose g*u + 5*y = 7, 2*y = 4*u - 0*y - 74. Is u a multiple of 15? False Let s(a) = 86*a**2 - 58*a - 48. Is s(6) a multiple of 15? True Let v(x) = 3*x**3 - 12*x**2 + 16*x - 37. Let j be ((-750)/45 + 17)/((-2)/(-54)). Is v(j) a multiple of 78? False Let g = -2683 - -3796. Suppose -54*c + 17043 = g. Does 35 divide c? False Suppose -6 = -3*k, n - 5*k = -3*k. Suppose 5*l = -4*z + 176, 5*z + 28 = -n*l + 167. Does 4 divide l? True Is (-667)/23 + 15 - -5186 a multiple of 128? False Let b(p) = -p**2 - 9*p - 21. Let o be b(-8). Let r be 6/12*0 + 0 + o. Does 2 divide (0/5)/1 - r? False Let v(y) = 2*y**3 + 7*y**2 + 2*y + 1. Let k(f) = -3*f**3 - 8*f**2 - f - 2. Suppose -6*w + 45 = -21*w. Let g(q) = w*k(q) - 4*v(q). Does 33 divide g(6)? False Let n = 37 - -11. Let z = n - 48. Suppose z = 2*x - 82 - 164. Does 43 divide x? False Suppose 7*j = -6181 - 1169. Is 140/j - 21604/(-30) a multiple of 72? True Let q be (-13504)/(-44) - 4/(-44). Suppose 3*j - 5*h = 318, -4*h - q = -4*j + 125. Is j a multiple of 4? False Let w(c) = -c**2 + 12*c. Let u = 12 - 7. Suppose 0 = 5*j - j - 4*t - 36, u*t = -5*j + 5. Is w(j) a multiple of 7? True Let p(z) = -14*z - 13. Let i(l) = -29*l - 26. Let f(h) = 4*i(h) - 9*p(h). Let t be f(-7). Let w = t + 82. Is 25 a factor of w? True Suppose -3*j - 17*q + 22*q = -20458, -5*q = 2*j - 13697. Is 33 a factor of j? True Let c be (-2902)/18 + 20/90. Suppose -2*o + 2*z + 757 = o, -2*o - z = -493. Let y = c + o. Does 7 divide y? False Let r = -12 + 15. Suppose -2*y - 4*o - o = -19, 0 = -3*y - r*o + 15. Suppose y*h + 302 = 3*n, 2*h - 69 - 45 = -n. Does 13 divide n? True Suppose 17*z - 19*z + 12802 = 5*u, 0 = -u - 5*z + 2565. Suppose -5*p + u = 5*g, 0*g - 2*p + 517 = g. Is g a multiple of 13? True Suppose 4*l = 63 - 15. Suppose -473 = x - l*x. Suppose x + 381 = 8*d. Does 21 divide d? False Suppose 37*x + 75342 = -21*x. Let z = x - -2237. Is 24 a factor of z? False Let y = -21709 + 29622. Is y a multiple of 11? False Let l(x) = 57*x**2 - 6*x. Let s be l(-4). Suppose -12*y + 4*y + s = 0. Does 49 divide y? False Let z(p) = 5*p**2 + 2*p - 10. Let t be z(-5). Let o = -85 + t. Suppose -3*m = 5*d - 311, -8*d = -13*d + o. Does 10 divide m? False Suppose -34*s = -3*n - 32*s + 5542, 3*s - 1862 = -n. Suppose 9*x - n - 3406 = 0. Is 73 a factor of x? True Suppose 4*u + 0*i + 1 = -i, u - i = 1. Suppose -4*t + n + 141 = u, -2*t + 4*t + 5*n - 43 = 0. Suppose t = 2*o - 72. Is 7 a factor of o? False Let a(q) = q**2 - 13*q + 80. Let l(d) = 8*d - 77. Let x be l(13). Is a(x) a multiple of 47? False Let u = -1452 - -2820. Is u a multiple of 12? True Suppose 0 = -56*y + 423725 + 338827. Does 9 divide y? True Let q(c) = 33*c**2 + 24*c - 121. Let a be 2/10 - ((-612)/(-10))/(-9). Is q(a) a multiple of 84? False Let o be ((60/25)/(-6))/(1/(-250)). Let n = o - -488. Is n a multiple of 21? True Let l = -829 - -843. Let s(c) be the first derivative of -c**3/3 + 17*c**2/2 + 22*c + 1. Is s(l) a multiple of 32? True Let c(r) = -r**3 + 15*r**2 + 14*r + 39. Suppose 0 = -4*i - 2*h + 56, -13 = 5*i - 2*h - 101. Let n be c(i). Suppose -n - 206 = -3*b. Does 41 divide b? False Let u(z) = 2*z**3 + 37*z**2 + 43*z + 15. Suppose -5*f + 0*n - 83 = -n, 0 = -5*f + 4*n - 77. Is u(f) a multiple of 11? False Let f be (-1054)/9 + 37/333. Is 12 a factor of (-6)/(1/f - 0)? False Let s = -7195 - -12424. Is 63 a factor of s? True Let g(c) = 3*c + 19*c**3 + 2*c
{ "pile_set_name": "DM Mathematics" }
2 + 11497021*u. 7365816 Find the third derivative of 43895128*l**4 + 178762294*l**2. 1053483072*l Find the second derivative of 41597183*j**3*l - 2*j*l - 855859*j - 6*l + 2 wrt j. 249583098*j*l Differentiate t**3 + 5802963*t**2 - t - 19501735 with respect to t. 3*t**2 + 11605926*t - 1 Differentiate 4189984*a**3 - 24*a - 480332148 with respect to a. 12569952*a**2 - 24 What is the second derivative of 6058*g**4 + 89*g**3 + 9515885*g? 72696*g**2 + 534*g What is the third derivative of -36974051*p**4 - 88283*p**2 - p + 237? -887377224*p What is the second derivative of 5048270*h**4 + 2*h**3 - 22*h - 3836206? 60579240*h**2 + 12*h Find the third derivative of 4*n**5 + 1260274*n**4 - n**3 + 10*n**2 + 729206 wrt n. 240*n**2 + 30246576*n - 6 Find the first derivative of 2806407*z**4 - 7*z**2 - 2*z - 179466279. 11225628*z**3 - 14*z - 2 What is the derivative of 348452914*t**2 + 265947847 wrt t? 696905828*t Find the third derivative of 170682673*g**5 + 422893701*g**2 wrt g. 10240960380*g**2 Find the second derivative of p**4 + 14862175*p**2 + 44245411*p wrt p. 12*p**2 + 29724350 Find the first derivative of 5602788*d*h**2*z + 1046*h**2 - 1275*h*z wrt d. 5602788*h**2*z What is the third derivative of 2995*j**5 - 2*j**4 - 14*j**3 - 26845179*j**2 wrt j? 179700*j**2 - 48*j - 84 Differentiate 4159001*x**2 + 12*x + 184920173 with respect to x. 8318002*x + 12 What is the first derivative of 2985591*f*o - 1014812857*f + o**2 - 7*o wrt o? 2985591*f + 2*o - 7 Differentiate 328*d**3 + 6013*d**2 + 6868810 with respect to d. 984*d**2 + 12026*d Differentiate 2644297*r**2 - 5*r - 82951776 wrt r. 5288594*r - 5 Differentiate -177*q**3 - 40276*q**2 - q - 132557809 with respect to q. -531*q**2 - 80552*q - 1 Differentiate -6005745*x**2 + 67925 wrt x. -12011490*x Differentiate 5*a**2*s - 18*a**2 + 25*a*s + 50450*s - 223031 with respect to s. 5*a**2 + 25*a + 50450 Find the second derivative of 2*b**3*p*x**2 - 4770*b**3*p*x + 245*b**3 + 4594*b**2*p*x**2 + 2*b*p*x**2 wrt x. 4*b**3*p + 9188*b**2*p + 4*b*p Find the second derivative of -680019*m**3*w**4 + 8*m**3*w + 624712*m**2 - 32*m*w**3 - m*w + m wrt w. -8160228*m**3*w**2 - 192*m*w What is the third derivative of -6483984*o**5 - 202514*o**2 - o? -389039040*o**2 Find the second derivative of -53485314*u**3 - 8062841*u + 1. -320911884*u What is the second derivative of 228454121*w**4 + 11245209*w + 18? 2741449452*w**2 Differentiate 289606020*z**2 - 238310913. 579212040*z What is the second derivative of 366*q**3*x**3 - 4384*q**3 + 3*q**2*x - 26025*q*x**3 + q*x - 20*q wrt x? 2196*q**3*x - 156150*q*x Find the third derivative of 27*b*f**4 - 29858*b*f**3 - 41*b + 18*f**3 + 35*f**2 - 892 wrt f. 648*b*f - 179148*b + 108 What is the third derivative of -i*j**3 + 5*i*j**2*n**3 - i*j**2*n**2 - 385*i*j**2 - 4*j**3*n**3 - 728996*j**3*n - 58*j**2*n**3 - 2*n**3 wrt j? -6*i - 24*n**3 - 4373976*n Differentiate 131880495*q*z**2 - 3*q + 17*z**2 + 506*z + 971 with respect to q. 131880495*z**2 - 3 Find the third derivative of 17631*c**3*g**2 - 9736*c**3*g + 2*c**2*g - 112305*c*g - 1183*g**2 wrt c. 105786*g**2 - 58416*g Find the second derivative of 87815463*m**2 - 19625891*m wrt m. 175630926 What is the second derivative of -140000341*b*s**2 - 5*b*s - 88393*b + 2*s - 1 wrt s? -280000682*b What is the derivative of 575050696*d + 479837080? 575050696 What is the second derivative of 2124*b**3 + 1587*b**2 - 5*b - 874995? 12744*b + 3174 Differentiate 4506671*d*s**2 + 2*d - 45604*s**2 - 10 wrt d. 4506671*s**2 + 2 What is the derivative of -10300701*d + 6551291? -10300701 What is the second derivative of x**5 - 1041*x**4 + 4665*x**2 + 184527448*x wrt x? 20*x**3 - 12492*x**2 + 9330 What is the third derivative of 237908726*s**3 + 4879*s**2 - 8302 wrt s? 1427452356 What is the second derivative of -2*h**2*t**2 - 1091*h**2 + 4569*h*t**3 - h*t + h + 9*t**3 - 247*t wrt t? -4*h**2 + 27414*h*t + 54*t Differentiate r*v**2 - 25375*r*v + 30998606*r - 25*v**2 - 5*v wrt v. 2*r*v - 25375*r - 50*v - 5 What is the second derivative of 3*h*q**3 - 2*h*q**2 - 2*h*q + 117266475*q**3 - 7319123*q wrt q? 18*h*q - 4*h + 703598850*q Find the second derivative of -92710*y**3 - 17*y**2 - 4248*y + 948 wrt y. -556260*y - 34 Find the second derivative of -34*f**5*w + 24977*f**2*w + 16638237*f*w wrt f. -680*f**3*w + 49954*w What is the first derivative of -286203*p**3 + 109*p - 50974678 wrt p? -858609*p**2 + 109 Differentiate -1479399495*s**3 - 65344430 with respect to s. -4438198485*s**2 What is the second derivative of 264504453*h**2 - 296501456*h? 529008906 Find the third derivative of -688386*f*m**3*q - 28*f*m**2 + 2*f*m*q - 3*f*q + 2*f + 25*m**3*q + m**2 + 52*q wrt m. -4130316*f*q + 150*q Find the second derivative of 826*s**5 - 2301*s**3 - 1529685*s. 16520*s**3 - 13806*s Find the first derivative of -81874*m**3*w - 25849137*m**3 + 17*m**2*w wrt w. -81874*m**3 + 17*m**2 Differentiate -23369777*l**3*y + 322*l**3 - 14*l**2 + 3*l + 128 with respect to y. -23369777*l**3 What is the third derivative of 511424884*g**4 - 1840*g**2 - 59680*g? 12274197216*g What is the second derivative of 17716345*z**2 + 6*z + 2196124? 35432690 What is the second derivative of -22*o**2*u**2 + 26892*o**2 + 271441*o*u**2 - 33*u - 3 wrt u? -44*o**2 + 542882*o Differentiate -2775170*h**2*p**2*w + 5*h**2*p**2 + 807557*h**2*p + 3*h**2*w - p**2 with respect to w. -2775170*h**2*p**2 + 3*h**2 Find the third derivative of -20*h**3*l**3 + 35339*h**3 - 7*h**2*l**3 + 2*h**2*l**2 - 4*h**2 - 166*l**3 + 6 wrt h. -120*l**3 + 212034 Find the first derivative of 163*n**2*s + 61*n*s**3 - 72*n*s**2 - 23103564*s**3 wrt n. 326*n*s + 61*s**3 - 72*s**2 Find the third derivative of -112819746*g**4 + 3*g**2 - 9*g - 706726 wrt g. -2707673904*g Find the third derivative of 3*z**4 - 12183141*z**3 - z**2 + 2*z + 29068739 wrt z. 72*z - 73098846 What is the second derivative of 23484*m**5 + 2532*m**3 + 58382*m + 158 wrt m? 469680*m**3 + 15192*m What is the derivative of 661606179*m*r**3 - 240426622*r**3 wrt m? 661606179*r**3 What is the derivative of 2*a**3 + 14766*a**2 - 2*a - 2906913? 6*a**2 + 29532*a - 2 What is the second derivative of 12745436*b**2*m - b - 419727*m - 2 wrt b? 25490872*m Find the second derivative of 8*m**2*w**3 + 3579*m**2*w + 3*m - 20060001*w**4 + 397 wrt w. 48*m**2*w - 240720012*w**2 What is the second derivative of 628162*w**4*z**3 + 4*w**3*z**3 - 7399277*w*z**3 + 2*z**3 wrt w? 7537944*w**2*z**3 + 24*w*z**3 Find the third derivative of 13143119*u**3 - u**2 + 7265492*u - 2 wrt u. 78858714 Differentiate -625216172*i*n**3 - 637222542*n**3 with respect to i. -625216172*n**3 What is the third derivative of 125608*h**6*r - 2*h**4*r**3 - 10*h**2*r**3 + 180*h**2*r - 1919*h*r**3 + r**2 wrt h? 15072960*h**3*r - 48*h*r**3 What is the derivative of 591705411*r**2 - 1221124430? 1183410822*r Find the second derivative of -15521799*z**2 - 77259200*z wrt z. -31043598 Find the first derivative of -36852226*n - 23715650 wrt n. -36852226 Find the second derivative of 13*j**5*p + 5999945*j**3*p**3 + j*p**3 - j*p**2 + 15*j*p + 23*p**3 + 3*p**2 - 820 wrt j. 260*j**3*p + 35999670*j*p**3 Differentiate 9081*j*y**2 - 67*j*y + 311711*j + 2*y**2 - 2*y - 16 with respect to y. 18162*j*y - 67*j + 4*y - 2 What is the third derivative of 14875042*f**6 - 17*f**2 + 5*f - 2929? 1785005040*f**3 Find the second derivative of -164530*b**3 + 41*b**2 - 19860426*b. -987180*b + 82 What is the second derivative of 41083484*t**2 + 57880278*t? 82166968 Differentiate 45*b**3 - 14470*b**2 + 3*b + 15920018 wrt b. 135*b**2 - 28940*b + 3 Differentiate 9*j**4*p - 3*j**2*p + 69293*j*p + 523684243*p with respect to j. 36*j**3*p - 6*j*p + 69293*p Find the third derivative of 194375961*r**3 + 376595472*r**2. 1166255766 Find the third derivative of j**4 - 13665065*j**3 - 673198253*j**2 - 2*j. 24*j - 81990390 What is the third derivative of -1643*m**6 - 3566*m**4*v + 312*m**2*v + 18815*m**2 wrt m? -197160*m**3 - 85584*m*v What is the derivative of 148718217*q**2 + 2*q + 387742648 wrt q? 297436434*q + 2 What is the derivative of 3*y**3 - 2*y**2 - 17756630*y - 1193605282 wrt y? 9*y**2 - 4*y - 17756630 Differentiate 263467801*c**3 + 58916761 wrt c. 790403403*c**2 What is the first derivative of -1369305*t**4 + 52*t**2 + 491726903? -5477220*t**3 + 104*t What is the
{ "pile_set_name": "DM Mathematics" }
isor of 22797920 and 1480. 1480 Calculate the greatest common factor of 13882404 and 306. 102 Calculate the greatest common divisor of 34 and 655882933. 17 Calculate the greatest common divisor of 1951114 and 21353. 131 What is the highest common factor of 36 and 60547482? 18 Calculate the highest common factor of 39933 and 8454834. 783 Calculate the highest common factor of 4122 and 502539126. 1374 Calculate the greatest common factor of 250 and 10509600. 50 Calculate the greatest common divisor of 5247 and 318483. 99 Calculate the highest common divisor of 140573260 and 20. 20 What is the greatest common factor of 181 and 492424437? 181 What is the highest common factor of 15765296 and 16? 16 What is the highest common factor of 740920 and 180? 20 What is the greatest common factor of 62 and 1119131? 31 What is the greatest common factor of 58117040 and 160? 80 Calculate the greatest common divisor of 415250 and 1430. 110 What is the greatest common factor of 26164136 and 8? 8 What is the greatest common factor of 58496 and 4912? 16 What is the greatest common divisor of 401590 and 3? 1 What is the highest common divisor of 28175 and 2123268? 1127 What is the highest common factor of 3113 and 982333? 11 What is the greatest common divisor of 1683 and 2635952? 187 Calculate the greatest common factor of 14 and 387307942. 14 What is the highest common divisor of 44625 and 2905875? 2625 Calculate the highest common divisor of 315 and 900991980. 315 What is the greatest common factor of 8984295 and 2915? 265 Calculate the highest common factor of 2960 and 973285. 185 Calculate the greatest common factor of 1734031673 and 131. 131 What is the greatest common factor of 1740 and 1247232? 348 What is the highest common divisor of 1911 and 143330733? 1911 What is the highest common divisor of 66368309 and 10255? 2051 Calculate the greatest common factor of 595 and 5075095. 85 Calculate the highest common factor of 119096 and 26712. 8 Calculate the highest common factor of 61 and 6282. 1 Calculate the highest common divisor of 668 and 135300394. 334 Calculate the greatest common divisor of 16660036 and 4. 4 Calculate the highest common factor of 120 and 1869090. 30 What is the highest common factor of 13 and 8185242? 13 What is the greatest common factor of 7265366 and 4558? 86 What is the greatest common divisor of 32 and 1161597? 1 Calculate the highest common divisor of 24318 and 1262799. 1737 What is the highest common factor of 900 and 52562? 2 What is the highest common factor of 2082 and 302846679? 1041 What is the highest common divisor of 3092761721 and 2317? 2317 What is the highest common factor of 9613767 and 9603? 291 Calculate the highest common factor of 612306 and 702. 54 What is the highest common divisor of 145871 and 26572018? 979 Calculate the greatest common divisor of 123156234 and 54. 54 What is the highest common divisor of 12948830 and 72210? 830 Calculate the highest common factor of 2621136 and 1792. 112 Calculate the highest common divisor of 20293 and 42003388. 1561 What is the highest common factor of 7834423 and 463? 463 Calculate the greatest common divisor of 36381029 and 1691. 19 Calculate the greatest common factor of 786745 and 17. 1 What is the highest common divisor of 73 and 37527694? 73 Calculate the greatest common factor of 360 and 1813928. 8 What is the greatest common divisor of 299440306 and 803? 803 What is the highest common factor of 203 and 89992? 7 What is the greatest common factor of 369 and 12104553? 123 Calculate the greatest common factor of 780 and 941148. 156 What is the highest common factor of 736770 and 138990? 1230 Calculate the highest common divisor of 7544 and 3343878. 1886 What is the highest common divisor of 1152 and 32123712? 192 What is the highest common factor of 19051736 and 213070? 3278 Calculate the greatest common divisor of 507 and 40411215. 39 What is the greatest common factor of 780 and 117720? 60 Calculate the greatest common divisor of 195 and 1934985. 195 What is the greatest common divisor of 16672 and 608007? 521 What is the highest common factor of 309008 and 891157? 2759 Calculate the highest common factor of 115 and 60007. 23 What is the greatest common divisor of 1655 and 10705864? 331 What is the greatest common factor of 81044718 and 16260? 1626 Calculate the greatest common factor of 396 and 38828504. 44 Calculate the greatest common factor of 18818807 and 1065043. 4571 Calculate the highest common divisor of 84452039 and 68. 17 What is the greatest common factor of 42915784 and 8? 8 What is the greatest common factor of 18 and 38493594? 18 What is the highest common divisor of 7315 and 4039805? 385 What is the highest common divisor of 152560107 and 63? 63 What is the highest common divisor of 89473 and 40217? 131 Calculate the highest common factor of 140899287 and 3. 3 Calculate the highest common factor of 29260406 and 2841. 947 Calculate the greatest common divisor of 416 and 8152131. 13 Calculate the greatest common divisor of 1210 and 18449596. 242 Calculate the highest common divisor of 10454994 and 2244. 66 What is the greatest common divisor of 22879 and 666664? 167 What is the greatest common factor of 4879 and 4218613? 287 What is the highest common divisor of 129625 and 27200? 425 What is the highest common divisor of 11595 and 37815? 15 What is the highest common factor of 8988 and 166572357? 2247 Calculate the highest common factor of 241659592 and 388. 388 What is the highest common factor of 17091 and 62613? 81 What is the greatest common divisor of 740 and 3246713? 37 Calculate the highest common divisor of 15059544 and 1784. 8 What is the highest common divisor of 162 and 103313178? 54 What is the greatest common divisor of 264 and 30652204? 44 What is the highest common divisor of 10688888 and 2608? 1304 Calculate the highest common factor of 3780 and 7413420. 420 What is the greatest common divisor of 425 and 3009? 17 What is the highest common factor of 2992 and 982256? 176 What is the highest common divisor of 697 and 6234121? 17 Calculate the highest common divisor of 154 and 18392682. 154 Calculate the highest common divisor of 41425296 and 1008. 48 What is the highest common divisor of 2255934 and 138720? 1734 What is the greatest common divisor of 54262 and 78026? 26 What is the greatest common factor of 89471636 and 3492? 388 What is the greatest common divisor of 110399 and 6413? 53 Calculate the highest common factor of 3984 and 26003651. 83 What is the highest common divisor of 557529 and 112881? 573 Calculate the highest common factor of 253 and 17669911. 23 Calculate the highest common divisor of 2646 and 300024. 54 What is the highest common factor of 1644238 and 629864? 3662 What is the greatest common factor of 62976 and 81248? 32 What is the highest common factor of 54992508 and 25828? 2348 What is the greatest common factor of 409788775 and 44? 11 What is the greatest common divisor of 19182 and 24186? 834 Calculate the greatest common divisor of 3472215 and 30. 15 Calculate the highest common divisor of 132368 and 2256. 16 Calculate the highest common factor of 15600 and 284752. 208 What is the greatest common divisor of 44160 and 66510848? 2944 What is the greatest common divisor of 833060 and 2829? 23 Calculate the greatest common factor of 11064865 and 20. 5 Calculate the greatest common factor of 420 and 59148105. 15 Calculate the greatest common factor of 54610381 and 254. 127 Calculate the greatest common factor of 931 and 163058. 133 What is the highest common divisor of 13665144 and 41208? 408 Calculate the highest common factor of 11 and 59029. 1 What is the greatest common factor of 8581980 and 25? 5 What is the greatest common factor of 2710 and 385130? 10 What is the highest common divisor of 30044 and 57757? 259 Calculate the highest common divisor of 848 and 73968390. 106 Calculate the greatest common factor of 278236 and 116147. 19 Calculate the highest common factor of 429933 and 531. 177 What is the greatest common divisor of 393876475 and 100? 25 What is the greatest common divisor of 34 and 1123904? 34 Calculate the highest common factor of 5876 and 7458828. 52 What is the greatest common factor of 9
{ "pile_set_name": "DM Mathematics" }
- 5*o**2) to s*o**2 + g*o + h*o**3 + z and give h. 6 Express -17 + 2*k**2 + 9*k**2 + 2*k + 21 as y*k + g*k**2 + s and give y. 2 Rearrange ((-3 - 7 + 4)*(-v - 2 + 2) + 2*v + 0 + 0)*(15*v**2 + 38*v - 38*v) to m*v**2 + b*v + g + s*v**3 and give s. 120 Express -2*x + 2*x - 1 - 2*x + 5*x in the form b*x + z and give z. -1 Express -t + 0*t + 15*t**3 - 13*t**3 - 2 as o*t**2 + k*t**3 + u*t + c and give u. -1 Rearrange (-11*m + 3*m + 4*m)*(-7*m**2 + m**2 + 3*m**2) to the form s*m + g*m**2 + n + b*m**3 and give b. 12 Rearrange -469*y - 9 + 465*y + 0*y**2 + y**2 to b + f*y + d*y**2 and give b. -9 Express (-3*x**3 + x**3 - 4*x**3)*(-2*x - x - 8*x) in the form c*x**4 + t*x**2 + i*x + b*x**3 + y and give t. 0 Express -15*f**2 + 3 + 0*f**2 - 4 as p*f**2 + r*f + q and give r. 0 Rearrange -3*n**4 + 29*n - 1 - 19*n - 14*n + n**2 to m*n**4 + c*n**3 + d + w*n**2 + i*n and give d. -1 Express (-3*n**4 + 2*n - 2*n)*(4 - 1 - 1)*(-1 + 2 - 4) + 2*n**4 - n**4 + 4*n**4 as y*n**2 + d*n**3 + g*n**4 + x + o*n and give x. 0 Express 2*j - 2*j + 1 - 2*j + j**4 + (1 - 1 - j)*(-14 + 14 + 5*j**3) as c*j**4 + u*j**3 + g + v*j + x*j**2 and give c. -4 Express -5*q - q**2 - q + q - q**2 - 3*q**2 + 3*q**2 + (q - 4*q + q)*(1 + 2*q - 1) as d + r*q**2 + i*q and give i. -5 Express -2*c**2 + 4*c**2 + 2*c**4 + 4*c - 7*c in the form l*c**4 + w*c + t*c**3 + k + d*c**2 and give w. -3 Express -25*r - 4 - 22*r + 2 as a*r + u and give u. -2 Rearrange (-24*j**2 + 142*j - 142*j)*(-2 + 2*j**2 + 2) to z*j**3 + t*j + q + u*j**2 + s*j**4 and give s. -48 Rearrange (1 - 1 + 5*j)*(-4*j + 3*j + 0*j + (-1 + 1 - 2)*(-4*j + 2*j + j) + 0*j + 0*j + 3*j) to w*j**2 + x + z*j and give w. 20 Rearrange -78*q - 1 + 1 + 8*q to the form s*q + i and give s. -70 Express -56*l - 2*l + 1 + 0*l + 0 in the form s + t*l and give t. -58 Express 5*a**2 - 11*a**2 - 11*a**2 in the form y*a**2 + d + p*a and give y. -17 Rearrange (-3 + 1 - 1)*(4 + 3 - 6)*(-2*h**2 - 2*h**2 + 7*h**2) to y*h**2 + s + g*h and give y. -9 Rearrange (-9 - 16 - 4 + 6)*(-2 + 2 - 3*f**2) to t + r*f + u*f**2 and give u. 69 Express 4*k + 6 - 3*k**3 - 2*k + 3*k**3 - 2*k**3 in the form s*k**2 + v*k**3 + m + n*k and give s. 0 Rearrange -6*n**2 + 1144 - 1144 to the form k + i*n + u*n**2 and give u. -6 Express 2*s + 0 + 0 + (1 + 5 - 4)*(3 - 3 + 2*s) + 147 - 17*s - 293 + 142 as u + r*s and give u. -4 Rearrange (4*i - 2*i + 0*i)*(5 - 5 - 9)*(1 - 1 + 1)*(1 - 2 + 0)*(0 + 2 - 3) to d*i + s and give s. 0 Rearrange 139*r - r**3 + r**2 - 5*r**4 - 1 - 139*r to the form v*r**2 + y + f*r**3 + s*r**4 + p*r and give y. -1 Rearrange (0*w + w + w)*(1 - 1 - 1)*(-4 + 4 + 2) to q + f*w and give f. -4 Express (5 - 3 - 4)*(-3 + 3 - l)*(4 - 5 + 0) as d*l + f and give d. -2 Express 0*p**2 - 3*p**2 + 3*p**3 + 23*p - p**2 + 6*p**2 as x*p + y*p**3 + l*p**2 + r and give y. 3 Express -4*m + m + 2*m**3 - 2*m**2 + 4*m + 0*m**2 - 7*m**4 as g*m**3 + i*m + q*m**4 + l + d*m**2 and give g. 2 Express 2 + 6*f - f**3 + 2*f - 4*f + f in the form j + x*f + a*f**3 + m*f**2 and give a. -1 Express 0*f + 0*f + 10*f**2 + (4*f**2 + f**2 - 4*f**2 + (-f**2 - f**2 + 5*f**2)*(-2 + 2 + 2))*(3 + 0 - 5) as k*f + z + m*f**2 and give z. 0 Rearrange -w**2 + 0*w**2 + 0*w**2 + (3*w**2 - w**2 - 3*w**2)*(-13 - 9 + 9) to the form i*w**2 + m*w + x and give i. 12 Rearrange 2*k**2 - 3*k - 2*k**2 + 6*k - 4*k**2 to the form c + q*k**2 + w*k and give q. -4 Rearrange 1 + 9*z + 5*z**4 + 17*z - 25*z + 2*z**3 to l*z**2 + p + c*z + s*z**3 + b*z**4 and give s. 2 Express y**3 - y**3 + 218 - y**3 - 101 as d + p*y**2 + h*y**3 + z*y and give h. -1 Rearrange 15 + 42*o + 14 - 29 to h*o + b and give h. 42 Rearrange 6 + 19*k + 2 - 15 + 5 to b*k + c and give b. 19 Express 0 + 3*l**3 + 1 + l**4 + 4*l**3 in the form y*l**4 + n + g*l**2 + v*l**3 + w*l and give y. 1 Rearrange -g**4 - 5*g - 6*g**3 - 1 - 10*g**3 + 17*g**3 to n*g**3 + m + d*g**4 + a*g**2 + r*g and give r. -5 Rearrange (0 + 1 - 2)*(-p + 0*p - p + (4*p - 19*p - 7*p)*(-1 - 3 + 3)) to v + q*p and give q. -20 Rearrange (-1 + 8 + 2)*(-o + 3*o - 3*o) - o - o + 0*o to the form a + y*o and give y. -11 Rearrange (-6*v**3 + 2*v**3 + 2*v**3)*(17 - 4 - 4) to the form d + t*v**2 + r*v + x*v**3 and give x. -18 Rearrange (-3 - 6 - 26)*(3*a**3 - a**3 - a**3) to u*a + y + b*a**2 + t*a**3 and give t. -35 Express -3*c**2 - 1 + 2 + 3*c**3 + 2*c**2 in the form y*c + x*c**2 + i*c**3 + u and give u. 1 Express -24*j**3 + 22*j**3 + j + 3 - 2*j + j**4 as l*j**3 + m + o*j + s*j**4 + d*j**2 and give m. 3 Express 4*q**3 - 4*q**2 + 3*q**2 + q - 5*q**3 - 8*q in the form d + m*q**3 + o*q**2 + l*q and give l. -7 Rearrange -1 + 1 - 31*m + 30*m - 71*m**2 to the form n + t*m + x*m**2 and give t. -1 Express (-5*o**4 + 2*o**4 - 4*o**4)*(-3 + 2 - 1) - 3 + 3 - 11*o**4 in the form j*o**2 + r + v*o**3 + t*o**4 + p*o and give j. 0 Rearrange 7*j**2 + 0*j**2 + 3*j**2 to the form t*j + k + y*j**2 and give y. 10 Rearrange 6 - 4 + 3*a**2 - 2 to the form z*a + y*a**2 + j and give y. 3 Rearrange (-76 - 71 + 116)*(0 - w + 0) to the form b*w + m and give b. 31 Rearrange 7*r**2 - r**2 - 4*r**2 + (-16 + 7*r - 6*r + 0*r)*(-2*r + 2*r - r) to the form q + g*r**2 + k*r and give k. 16 Express 46*q + 121*q - 49*q as n*q + l and give n. 118 Express -k + k + 35*k as x + y*k and give x. 0 Express 17 - 2*b**3 - 17 + 6*b**2 as o + l*b**2 + s*b + r*b**3 and give l. 6 Rearrange 7*t**2 - 7*t**2 + 25*t**2 to i*t + y*t**2 + j and give y. 25 Express 4*u**4 - 2*u**4 + 3*u**4 + (-u + u + u**3)*(-4*u - 3*u + 6*u) - 4*u**4 + 0*u**3 - u**3 + 3*u**4 as j*u**2 + q + x*u**4 + r*u**3 + l*u and give r. -1 Express 8*o - o**3 + 5*o - 7*o in the form a*o + t + i*o**2 + y*o**3 and give i. 0 Rearrange 0 - 1 + 7*g**2 - 6*g + 7*g to the form v + n*g**2 + u*g and give u. 1 Express -4 - 2*w + 4 in the form x*w + u and give u. 0 Rearrange -t**2 + 0*t**2 - 60 - 23 - t**2 to the form q + y*t**2 + b*t and give y. -2 Express -6*j + 0*j + 15 + 3*j - 2*j in the form t + y*j and give t. 15 Rearrange (15*b - 5*b - 20*b)*(7 + 7*b - 7 - b + 6*b - 3*b + (-5*b - 2*b + 6*b)*(-2 + 2 - 1)) to the form q + s*b**2 + p*b and give s. -100 Express ((6*z + z - 2*z)*(-3 - 1 + 3) + 0*z - z + 0*z)*(0*z - 3*z + 5*z)*(-z**2 - 3*z**2 + 2*z**2) in the form i + k*z**4 + y*z**2 + f*z + m*z**3 and give k. 24 Express 2*x**4 + 2*x - 2*x + (-x**3 + 2*x**2 - 2*x**2)*(0*x + 0*x + x) - 3*x**4 + x**4 + 0*x**4 as m*x + z*x**2 + l + b*x**3 + o*x**4 and give o. -1 Express -5*i + 2*i + 2*i + ((2 + 5 + 0)*(-1 + 1 - 2) + 3 - 4 + 0)*(2 - 4 + 4)*(3*i - 3*i - i) in the form x + y*i and give y. 29 Express 0*d**2 - 178*d**2 + 38*d**2 + 2*d as x + a*d + s*d**2 and give a. 2 Express -3*c**3 + 17*c - 2*c**4 + 0*c**3 - 18*c as q + t*c**2 + k*c**3 + g*c + y*c**4 and give y. -2 Rearrange -2 + u - 58*u**3 + 5 + 60*u**3 to the form d*u**2 + l + h*u + g*u**3 and give g. 2 Rearrange -3*r**2 - 2 + 23*r - 9*r - 20*r to j*r**2 + y + p*r and give j. -3 Rearrange 83 - 3*a - 83 - a**3 to q + k*a + h*a**2 + j*a**3 and give k. -3 Express -3*g - 12*g**2 + g**3 - 11*g**4 - g**3 + 13*g**2 in the form x*g**2 + i*g + n*g**3 + l*g**4 + j and give l. -11 Rearrange 3*t**4 + 3*t**3 - 3*t**2 + t**2 - 4*t**4 + 2*t + 0*t**2 to h*t + i + u*t**3 + b*t**4 + k*t**2 and give k. -2 Express -23*f - f**3 + 3*f**3 + 4*f in the form y*f**2 + k*f + u + s*f**3 and give s. 2 Express 13*r - 94 + 94 in the form d*r + y and give d. 13 Rearrange -2 + 0*m**2 + 18*m**4 - 17*m**4 + 4*m + m**3 + 3*m**2 to h*m**4 + j*m**2 + r + l*m**3 + v*m and give r. -2 Rearrange 0*y + 4*y + 4*y**2 + 5*y - 6*y to the form b*y**2 + t*y + v and give t. 3 Express (-3*y + y - 1 - 1)*(-1 + 0 + 0*y + 5*y) as v*y + d*y**2 + p and give d. -10 Rearrange 3*z - 2*z + 102 + 2*z**3 - 103 to the form b*z**3 + n*z + l + u*z**2 and give l. -1 Express (-n + n + 2*n)*(n + 2*n - 7*n) as p + k*n**2 + b*n and give k. -8 Express g**4 + 2*g - 3 - 6*g + 5 as w*g**4 + x*g + m*g**2 + d + v*g**3 and give w. 1 Rearrange -x + 17*x - 8*x - 9*x + 29 to the form b*x + s and give b. -1 Express 14*u**2 + 23*u**2 - 8*u**2 as g + n*u + h*u**2 and give h. 29 Express -p + 7*p**3 - 22 - p**2 - 7*p**3 - p**3 as w*p + d*p**2 + n + h*p**3 and give n. -22 Rearrange -4*d + 5*d + 0*d + (2 - 1 + 1)*(-3*d + d + d) + 0*d + 0*d - 2*d + (d + 0 + 0)*(4 - 4 + 1) - 3*d + 2*d + 2*d to m*d + l and give m. -1 Express 2*y**4 + 9 - 7*y**3 -
{ "pile_set_name": "DM Mathematics" }
hich is the second biggest value? (a) -1/3 (b) l (c) q b Let n be (-27)/(-30) + (2 - 3). Let k = -235.9 - -232.9. Which is the fourth smallest value? (a) k (b) n (c) -0.5 (d) 5 d Let i(l) = -3*l**2 + 22*l - 26. Let d be i(6). What is the biggest value in -15, d, -1? -1 Let y = -1641 + 1641.5. Which is the second biggest value? (a) 0.4 (b) -0.4 (c) y (d) 39 c Suppose 0*t - 2 = -t + r, -4*t + 5*r + 10 = 0. Let x = 28 - 28.04. Which is the biggest value? (a) x (b) -0.2 (c) t (d) -0.5 c Let v = -13.34 + 8.34. Which is the biggest value? (a) -4 (b) -0.2 (c) -3 (d) v b Let k = 33 + -35. Let q = -66.7 + 67. What is the second biggest value in q, k, 2/13, 1/4? 1/4 Let t = -54/31 + 123/124. Which is the second biggest value? (a) 3 (b) -55 (c) t c Let n(o) = -28*o**3. Let g be n(1). Let i be ((-3)/34)/((-21)/g). What is the biggest value in i, -1, 1/8? 1/8 Let i be (-6574)/30 + 20/150. Let p be -5*(i/(-75) - 3). Let k = -0.16 - 0.84. Which is the second smallest value? (a) p (b) k (c) -2/3 c Let m(p) = 3*p + 44. Let i be m(-13). What is the fourth smallest value in 0.3, i, 4, -2/3? i Suppose q + 5 = 0, 3*q - 2*q = 4*d + 27. Let r = 2.9 + -3. What is the biggest value in -4, r, d? r Let r be 33544/3780 - (-4)/(-54). Which is the third smallest value? (a) -1/8 (b) r (c) 4 b Suppose 9*v = 5*v + 40. Let f be (-8)/(-2) - 38/v. What is the third biggest value in -2, f, -3/2? -2 Let i = -0.36 + -0.44. Let l = -1.33 - -0.03. Let h = l - i. Which is the second smallest value? (a) 0.2 (b) -1/4 (c) h b Let r = 487/3 - 163. Which is the fourth smallest value? (a) 2 (b) r (c) -0.5 (d) -0.01 a Let x = 1.831 - 10.831. Which is the third smallest value? (a) x (b) -3 (c) -0.5 (d) 2 c Let f = -663/7 - -1975/21. Which is the biggest value? (a) 2/3 (b) 0.1 (c) f (d) -11 a Let r = 89 - 127. Let v = r - -37.8. What is the third biggest value in -4, 7, v? -4 Let i = 577.6 - 578. What is the second smallest value in 2/5, i, 2/25? 2/25 Suppose 180*f + 12 = 184*f. Which is the fourth smallest value? (a) f (b) 0.5 (c) -5 (d) -0.1 a Let y = -163 - -488/3. Let m = 103 + -98.3. Let s = m - 5. Which is the smallest value? (a) s (b) y (c) 2/3 b Let l be ((-3)/10)/(2/(-4)). Let w be (-28)/(-112) + (-70)/344. Which is the third biggest value? (a) l (b) w (c) 2/11 b Let o = 3544/7 - 507. What is the third biggest value in -5, 1, 0.3, o? o Let f = 3.37 - -1.63. What is the second biggest value in -1/64, f, -4? -1/64 Let w be 74/(-132) - 2/(-6). Let s = 19/132 + w. Let k = 8.8 - 9.3. Which is the biggest value? (a) 3 (b) k (c) s a Suppose -4*o = -12*o + 240. Let x be (-24)/630 + 4/o. Which is the smallest value? (a) x (b) -5 (c) -1 b Let i = 646 + -628.36. Let j = i + -0.14. Let r = j - 17. What is the second biggest value in 3/2, r, -0.5? r Let m = -1597.84 + 1597. What is the biggest value in -1/4, 0.3, m? 0.3 Let o = -171/4 + 43. What is the second smallest value in o, 0.1, -5? 0.1 Let i = -447 + 8495/19. What is the second biggest value in 4, -23, i? i Let i = 3.7 + -3. Let k = 41.9 + -41. Let r = i - k. Which is the smallest value? (a) 4 (b) -5 (c) r b Let c = -17 + 69/4. Let m(t) = -3*t**3 - 21*t**2 - 3*t - 5. Let j be m(-7). Suppose -j + 0 = -4*s. What is the third smallest value in c, 0.5, s? s Let j = 14.6 + -9.6. Let c be ((-3)/15)/(1/1). What is the second smallest value in c, j, -3/4? c Let b = 42 + 22. Let x = -62 + b. What is the second biggest value in 2/3, x, -3/4? 2/3 Let r = -0.38 + 0.08. Let i be 172/22 + 8/44. Let f be (3/(-6))/(12/i). Which is the third biggest value? (a) r (b) f (c) 1 b Let t(r) = -2*r + 8. Let h be t(2). Let g = 0.0345 + 32.2655. Let q = -32 + g. What is the second smallest value in q, h, -0.2? q Let s be (-18)/(-189)*(6/(-2) + 4). Which is the second smallest value? (a) 2/7 (b) s (c) 186 a Let x = -46.7 - -44.7. Suppose 0*m = m. Suppose -d = -m*d - 1. Which is the biggest value? (a) -0.1 (b) d (c) x b Let r = -28 + 29. Let t = -4 - r. Let y = 0.02 + -3.02. What is the biggest value in y, t, 1? 1 Let d = -62 - -61.96. Let l be (-2 + 4)*(-9)/6. Let k be (l - -1) + 120/57. Which is the third biggest value? (a) k (b) -0.2 (c) d b Let n = -12.2 - -12.414. Let f = 0.014 - n. Which is the smallest value? (a) 4 (b) f (c) 0.35 b Let r = 4.1 - 0.1. Let f = -0.5 + 17.5. Let o = f - 17. Which is the third smallest value? (a) r (b) 0.5 (c) o a Let h = 15.98 - 16. Let x = -865 - -911.9. Let q = 47 - x. Which is the biggest value? (a) -1/2 (b) q (c) h b Let t = 61/92 + -3/4. What is the biggest value in 0.4, -4, t, 3? 3 Let h = 39.97 - 13.71. Let l = h - 26. Let z = -0.56 + l. Which is the biggest value? (a) z (b) -5 (c) -1 a Let b = -3 + 3.1. Let g = -1.701 + 4.697. Let q = -0.004 - g. What is the second biggest value in b, q, -0.4? -0.4 Let q be 14/(-6) - 20/30. Let o(r) = -r + 1. Let l be o(q). Suppose 0 = 5*c - y + 21, -9 = -3*y - 21. What is the smallest value in c, 0.4, l? c Let q be ((-1828)/(-6))/(8/(-12)). Let g = q - -4117/9. Let m = 78 + -73. Which is the third biggest value? (a) -2 (b) m (c) g a Let t = 0.01 + -2.01. Let f = t + 2.5. Let z = -29 - -29.3. Which is the second smallest value? (a) f (b) 5 (c) z a Let h = 1 - 0. Let j = -6 - -5.6. Let l be 5/20 + 22/(-152). Which is the biggest value? (a) j (b) h (c) l b Let i = 199 - 199.6. Let g = -8 + 10. Suppose -1 = q + g. Which is the smallest value? (a) 2/7 (b) q (c) i b Let p = 0.104 - 0.104. What is the second smallest value in p, -7/3, 0.06? p Let j = 13 + -11.8. Let z = 24.2 - j. Let d = z - 19. Which is the second biggest value? (a) -1/3 (b) -2 (c) d a Let t be (-26)/6 - (-26 + 22). Which is the smallest value? (a) -0.04 (b) -3 (c) t b Let t = 53 + -71. Let m be 21/(-18)*t/56. Which is the second biggest value? (a) -2/21 (b) 1 (c) m (d) -0.04 c Let v = -282 + 283. Let d = 22 - 17. Which is the second biggest value? (a) d (b) 3/5 (c) v c Let r(n) = 2*n**2 + 7*n + 6. Let c be r(-3). What is the third biggest value in c, -1/4, 2? -1/4 Let i = -12 + 8. Let s be ((-532)/(-16))/7 + i. What is the third biggest value in -2, s, -0.2? -2 Let l = -4.2 + 4.4. Which is the second smallest value? (a) 4 (b) l (c) -0.2 (d) -7 c Let u(w) = -w**3 - 2*w**2. Let o be u(-4). Let n = 97/3 - o. What is the smallest value in n, 3, -2/3? -2/3 Let x = 32.5 + -25. Let u = x + -0.8. Let m = 7 - u. What is the smallest value in 2/5, m, 5? m Let j = 16/3 - 11/2. Let h = -78 - -83. Suppose 4*q + 10 = -2*x - 0, -5 = x - h*q. Which is the second biggest value? (a) 0.6 (b) j (c) x b Let p = 0.03 - -60.97. Let n = p - 61.5. What is the third smallest value in n, 0.3, -2? 0.3 Suppose 18*v - 15*v = 12. What is the biggest value in -18, 0, v? v Let y(k) = 4*k**2 + 33*k + 48. Let p be y(-7). Let u = -13 + 8. What is the third smallest value in p, -0.2, -0.4, u? -0.2 Let y = 0.4 - -2. Let t = 5.4 - y. Which is the smallest value? (a) t (b) 1/2 (c) 2/9 c Let g(i) = i**2 - 5*i - 6. Let l(n) = 2*n**2 - 10*n - 13. Let z(j) = -5*g(j) + 2*l(j). Let h be z(6). Which is the smallest value? (a) -2/9 (b) h (c) 1/9 b Let d = -5 - -1. Let g = 29 + -25.3. Let z = d + g. What is the biggest value in 2/9, 0.07, z? 2/9 Let k = -99.9 + 101.9. What is the third biggest value in 2/3, 4, k? 2/3 Let k = 12 - 10. Suppose 0 = -h + 4*r, 5 + 5 = 3*h - k*r. Suppose 5*s = 0, -h*v + 3*s + 6 = -10. What is the second smallest value in 0.1, v, -2? 0.1 Let o be 1/(-6) + (0 - (-12)/(-9)). Which is the biggest value? (a) o (b) 3/11 (c) -1 (d) -5 b Let a = 2.7 - 0.7. What is the fourth smallest value in -1/4, -18, a, 3? 3 Let w = 354.6 + -355. Which is the smallest value? (a) 5 (b) -4 (c) w (d) 1 b Let w = 175/4 - 1241/28. Let i = -97 - -106. Let q = i - 8.5. Which is the second biggest value? (a) w (b) q (c) 0.2 c Let v = 2.97 + 0.03. Let r = 0.006 + 2.194. Let l = r + -7.2. What is the second biggest value in -4, l, v? -4 Suppose 31*r - 8*r + 21*r + 42*r = 0. Let t = 0.5 - 3.5. Let n = 0.1 + 0. What is the biggest value in r, t, n? n Suppose -4*i = m - 66, 0 = -3*i + 2*m + 57 - 2. Let a = -12 + 11. What is the second biggest value in a, -3, i? a Let g = -78 - -55. Let z = g - -26. Which is the third biggest value? (a) z (b) -
{ "pile_set_name": "DM Mathematics" }
) in the form l + v*w and give v. -13 Rearrange 17*s - 15*s + 3 - 2 - 9*s**4 + 8*s**4 to i*s + v*s**2 + m*s**4 + f + h*s**3 and give i. 2 Express -5*p**2 - 8*p**2 - 4*p**2 - 10*p**2 as c*p**2 + n + v*p and give c. -27 Rearrange -56*z**4 + 578*z**2 + 12*z**4 - 581*z**2 + (-1 + 0 + 0)*(-z**4 - 4*z**4 + 4*z**4) to w*z**3 + b*z + d*z**2 + j*z**4 + u and give d. -3 Express (3 - 1 - 4)*(4*t - 6*t - t) + (1 - 2 + 10)*(-16 + 19*t + 16) in the form b*t + x and give b. 177 Express n**3 + 966*n**2 + 2 - 959*n**2 + 7*n - 7*n as j + b*n + g*n**3 + k*n**2 and give k. 7 Express -24*p**2 - 1 - 1 + 16*p**2 + (-6 - 5*p**2 + 6)*(0 - 1 - 2) + 4*p**2 - p**2 - p**2 in the form v*p**2 + g*p + w and give v. 9 Express -2*m**4 - 11*m**2 + 0*m**4 - 15*m**2 - 4*m + 48*m**3 + 20*m**2 - 47*m**3 in the form u + c*m + r*m**4 + b*m**3 + k*m**2 and give c. -4 Rearrange s**3 - 4*s**3 + s**3 + 1138*s - 1134*s - s**4 + 8 to the form i*s**2 + v + r*s**4 + u*s + w*s**3 and give r. -1 Express 109*q**4 - 211*q**4 + q + 2 - q**2 + 107*q**4 + 0*q**2 - 2*q**3 as s + o*q**4 + i*q + l*q**2 + c*q**3 and give l. -1 Express (5 - 1 - 2)*(4*c - 199 + 199)*(7*c**2 + 6*c**2 - 5*c**2 + (-3 + 3 + c)*(0 + 2*c + 0)) as w + v*c + q*c**2 + m*c**3 and give m. 80 Rearrange 1 + 4045*u**3 + 4037*u**3 - 8087*u**3 - u**4 to the form q*u + o*u**4 + d + b*u**3 + m*u**2 and give o. -1 Rearrange o**3 + 2*o**4 - 2*o**3 + 16*o**2 - 2*o + 344*o**2 + 28*o**2 to the form h*o + s*o**4 + t*o**3 + n*o**2 + q and give q. 0 Express 292*t - 161*t + 199*t in the form a + s*t and give s. 330 Rearrange -29*g**3 + 4*g + 27*g**3 - 9*g + 22*g**2 - 17*g to q + a*g**2 + u*g + o*g**3 and give u. -22 Express (0 - 2 + 1)*(j - 2*j + 2*j) - 2*j + 2*j - 3*j + (-1 + 8 + 14)*(-2*j - 3 + 3) + j + 0*j + 0*j + (2*j - j + 0*j)*(2 - 2 - 2) as d + s*j and give s. -47 Express -237*k - 155*k - 19*k - 221*k as g*k + m and give g. -632 Express (2 - 2 + i)*(-4 - 650*i**2 - 307*i**2 + 5) in the form q + m*i**3 + t*i**2 + j*i and give m. -957 Rearrange (2*u - 4*u + 0*u)*(0 - 2 + 4) + 80 + 12*u - 80 + (2 + 0 - 3)*(6*u - 7*u + 17*u) to the form y*u + z and give y. -8 Rearrange -3*y - 10969 + 10961 + 6*y to i + l*y and give i. -8 Express 0 - 163*l**3 - 18*l**3 + 0 + l - 2*l as r*l**2 + p + a*l**3 + y*l and give a. -181 Express -a + 1 - 1 + 2 - 2 + 3*a - 4*a + 2*a - a - 2*a + 0*a + 3*a + (-a - 2*a + 4*a)*(-2 - 2 + 0) + 3*a - 2*a - 2*a as s + x*a and give x. -5 Rearrange -1 - p**3 - 22 + 47 + p to w*p**2 + z*p**3 + c + r*p and give c. 24 Rearrange (0*c**2 - 2*c**2 + c**2)*(-6*c + 3*c + 0*c) - c**3 - 2*c**3 - 3 + c**2 + 2*c**3 to y*c**3 + n*c + m + q*c**2 and give y. 2 Rearrange 3*m + 0*m + 0*m - 2*m - 12*m + 40*m + (-m - 2*m + m)*(-1 + 3 - 1) + 2 - m - 2 + 4*m + 2*m + m + (3*m - 6*m + 4*m)*(5 + 1 - 5) to r*m + p and give r. 34 Rearrange -2 - 33*v + 52*v - v**4 + 3*v**4 - v**4 to j*v + x*v**4 + g*v**2 + h*v**3 + s and give j. 19 Express -40*v + 53*v + 131*v + 45*v + 1 in the form h*v + r and give h. 189 Rearrange 97*l + 12*l - 15*l + (l + 2*l - 2*l)*(3 - 1 - 1) to n*l + y and give n. 95 Express (1 - 1 - 3)*(n + n + 0*n)*(-2114 + 1138 + 1218) as l*n + v and give l. -1452 Express -3 - 11 - 2*o**4 + 3*o**4 + (2*o - 2*o + 2*o**3)*(-2*o + 3*o + 0*o) as x*o + t*o**3 + f*o**4 + m + p*o**2 and give f. 3 Rearrange -12352*z + 12352*z + 122*z**3 + (-3*z + 2*z + 0*z)*(-5*z**2 + 5*z - 5*z) to a*z**2 + w*z**3 + k*z + q and give w. 127 Rearrange (-156*a**3 + 17*a**3 + 14*a**3)*(0 - 1 - 1) to o*a**2 + m + p*a + w*a**3 and give w. 250 Express n - n - 2*n**2 + (1 - 1 - n)*(3*n + 0*n - n) - 4*n**2 + n**2 + 5*n**2 + (n + 2*n - 4*n)*(n - 4*n + 0*n) as p*n**2 + v + g*n and give p. 1 Express 148 - 298 - 2*w**3 + 148 + 6*w**2 - 4*w + 8*w in the form q + v*w + y*w**2 + g*w**3 and give y. 6 Rearrange (-2*y - 5*y + 5*y)*(2119 - 1437 - 5815) to the form c + j*y and give j. 10266 Express 2*k + 4*k - 34*k - 42*k in the form l + d*k and give d. -70 Rearrange -2*p**4 + p**4 + 2*p**4 + (8*p - 8*p + 3*p**3)*(-5*p + 0*p + 0*p) + p**4 + 0*p**4 - 2*p**4 to the form m + x*p**3 + w*p**4 + j*p + l*p**2 and give w. -15 Express -288*m + 16667 - 16667 in the form n*m + h and give n. -288 Rearrange -8 - 15 + 32*j - 4*j + 29*j + 21 to the form l*j + z and give l. 57 Express -4*a**4 - 2*a**3 - 100*a + 35*a + 33*a + 34*a + 2*a**2 - 3 in the form f*a**2 + n*a + s*a**3 + w*a**4 + x and give x. -3 Express (2*r - r**2 - 2*r)*(1 + 2 - 2)*(5 - 2 - 2)*(4831 - 4831 - 14*r) as u*r + f*r**3 + v*r**2 + c and give f. 14 Express (0 - 1 - 2)*(14 + 57 + 0)*(-3*d**2 + 5*d**2 - 4*d**2) as c*d**2 + h + o*d and give c. 426 Rearrange -51*i - 1103 + 1103 - 63*i to the form l + m*i and give m. -114 Express x**2 - x**4 - 8*x**3 - 351*x + 354*x + 3*x**4 in the form v*x**3 + q*x**4 + s + d*x + u*x**2 and give d. 3 Rearrange (-4*r**2 + 0 + 2*r + 2 + 0*r)*((0*r + 7*r - 3*r)*(r - 3 + 3) + (4 - 2 + 0)*(-r**2 - r**2 - r**2)) to q + h*r**3 + z*r**4 + o*r + j*r**2 and give j. -4 Express (-2*u + 2 - 2)*(36 + 10 + 8)*(-8 + 5 + 9) as p*u + d and give p. -648 Rearrange -10*i**3 + 7*i**3 + 12 - 2*i**3 - 8*i**3 to t*i + m*i**2 + o*i**3 + v and give o. -13 Express 2*u**3 - 5*u**4 - 2*u**3 + (-12*u**2 - 17*u**2 + 7*u**2)*(u**2 + 2*u - 2*u) as h*u**3 + b*u + x*u**2 + v*u**4 + n and give v. -27 Rearrange -2 + 803*y + 105 - 805*y + 4*y**3 to c + t*y + r*y**2 + k*y**3 and give t. -2 Express -492*l - 899*l - 1228*l - 200*l in the form j*l + k and give j. -2819 Express (208*v - 95*v + 149*v)*(-2 + 0 - 1)*(2 + 1 - 4) as x + c*v and give c. 786 Express -360 + 363 - 29*l + 0*l as h*l + i and give h. -29 Express -235*y**2 - 239*y**2 + 472*y**2 + 2*y**3 - y**4 + y + 1 + 19*y**3 as r*y + j*y**4 + f*y**2 + l + w*y**3 and give r. 1 Express -2 + 7*n**3 - 40*n**2 - 20*n**3 + 39*n**2 - 4*n**2 in the form y*n + k*n**3 + q*n**2 + b and give q. -5 Rearrange (-44*x - 70*x + 19*x)*((2 - 2 - 1)*(2*x + 2*x - 2*x) + (-2 - 1 + 1)*(-3 - 2*x + 3) + 0 + 0 - x + 2*x + 9 - 9) to the form n*x + l + m*x**2 and give m. -285 Express (-1 + 1 + 2*l)*(694*l - 196*l + 77*l)*(-2*l**2 + 2*l**2 + l**2) in the form p*l**4 + j*l**3 + v + f*l**2 + z*l and give f. 0 Express -39 - k**2 - k**3 + 14 + 21 + 9*k**4 + 18 as r*k**2 + i*k + d + f*k**3 + s*k**4 and give r. -1 Express -4*z**3 - 96 + 61 + 80 in the form h*z + b*z**3 + u + p*z**2 and give b. -4 Rearrange 6*b**2 - 7 + 5*b - b**3 - 6*b**4 - 4*b**4 + 4*b**4 + 5*b**4 - 2*b to o*b + v*b**3 + f*b**2 + u + g*b**4 and give f. 6 Express 2 - 232*d - 116*d - 2 + 70*d - 2 as f*d + x and give f. -278 Rearrange 28*z**3 - 110*z**3 - 55*z**3 - 9*z**3 + 4 - 1 to the form a + p*z + c*z**3 + i*z**2 and give a. 3 Express (-3 - 2 + 0)*(-5 - 5 + 3 + 0 - 1 + 0 + (2 + 0 - 1)*(-1 + 3 + 0))*(2 - 2*d**2 - 2) in the form o*d**2 + q + b*d and give o. -60 Express -l**3 + l**3 - 29*l**2 + 2*l + 2*l**3 - 3*l**3 - 44*l**2 as u*l + r + n*l**3 + t*l**2 and give t. -73 Rearrange -2*j + 6*j**3 - 4*j**2 + 34*j**3 + j - 12*j**3 to v*j**3 + u*j**2 + p*j + f and give p. -1 Express (-1 + 5 - 5)*(a**3 - a**3 - 2*a**3) + (7*a**3 + 16*a**3 - 7*a**3)*(0 - 2 + 0) in the form m*a**2 + o*a + l*a**3 + x and give l. -30 Rearrange 14*n**2 - 12*n**2 - 8*n**2 + (n**2 + n**2 - 3*n**2)*(-2 - 4 + 2) + 4*n - 4*n + n**2 to the form h + b*n**2 + f*n and give b. -1 Express 14*v + 10 + 11*v + 11 - 7*v - 27 in the form j + l*v and give l. 18 Express -11 - 17*f**2 - 193*f**4 - 199*f**4 + 3*f**3 + 18*f**2 + 389*f**4 in the form q*f**3 + h*f + t*f**4 + y + r*f**2 and give r. 1 Rearrange -756 - 4*o + 4*o**2 + 1523 - 767 - 13*o to d*o**2 + p*o + h and give p. -17 Rearrange (l**2 - 30*l**2 + 3*l**2)*(-2 - 5 + 6) to the form a + h*l + z*l**2 and give a. 0 Rearrange (-16 + 2*w + 16)*(-1 - 46*w - 8 + 35*w) to the form p*w**2 + s*w + v and give s. -18 Express 2 - 2*x**3 - x**4 + 232*x - 229*x + 3*x**4 in the form h*x**4 + b*x**3 + g*x**2 + r*x + t and give r. 3 Express 0*w**4 + 21*w**4 + 42*w**4 + (-3*w**3 + 2*w**3 + 2*w**3)*(6*w + 4*w + 0*w) in the form f*w + m + n*w**4 + v*w**3 + s*w**2 and give n. 73 Express -146*c + 215 - 215 as u + q*c and give q. -146 Express -17*u**3 - 36*u**3 + 7*u**3 + (5*u + 0*u + 0*u)*(-3*u**2 - 4*u**2 + 4*u**2) in the form h*u**2 + s*u + f*u**3 + j and give f. -61 Rearrange -3*s**3 + 11*s**3 + 550*s - 10*s**3 to the form a*s**2 + r*s + v*s**3 + d and give r. 550 Express
{ "pile_set_name": "DM Mathematics" }
x**4 Let r(s) = 7*s**2. Let p(d) = -61*d. What is r(p(y))? 26047*y**2 Let d(z) = 5*z**2. Let m(c) = 5*c. Let b(k) = -3*k. Let y(p) = 7*b(p) + 4*m(p). Determine y(d(t)). -5*t**2 Let a(f) = 1 - f - 1. Let t(w) be the first derivative of -2*w**3/3 - 111. Give a(t(u)). 2*u**2 Suppose 5 = 3*q - 1. Let o(r) = -r + q*r - 2*r - 2*r. Let u(c) = c. Give u(o(x)). -3*x Let r(o) = 5*o. Let f(a) = -3 - 8*a**2 - 6*a**2 - 8*a + 3. Let g(x) = 9*x**2 + 5*x. Let m(b) = -5*f(b) - 8*g(b). Determine r(m(u)). -10*u**2 Let w(i) = -7 - 2*i + 7. Let a be ((-3)/(-9))/((-2)/(-12)). Let h(p) = 3*p + 6*p**2 - 3*p - 7*p**a. Determine w(h(l)). 2*l**2 Let j(q) = 2*q. Let b(f) = 356*f - 2. Calculate j(b(l)). 712*l - 4 Let u(f) = -f - f + 9*f + 11*f. Let y(b) = 2*b. Give y(u(n)). 36*n Let k(x) = -x**2. Let s(c) = -3*c**2 + 4. Give k(s(g)). -9*g**4 + 24*g**2 - 16 Let u(r) = 3*r**2 + 6*r + 6. Let n = 6 - 12. Let c(z) = 7*z**2 + 13*z + 13. Let a(q) = n*c(q) + 13*u(q). Let k(p) = 2*p**2. Calculate k(a(j)). 18*j**4 Let f(y) = 2*y**2. Let l(j) = -2. Let v(b) = 9*b - 15. Let t(x) = 14*l(x) - 2*v(x). Determine f(t(h)). 648*h**2 - 144*h + 8 Let f(b) = -13*b**2. Let n(k) = 2*k - 1. Determine f(n(x)). -52*x**2 + 52*x - 13 Let j(x) = x**2. Let c(r) = 73*r**2 + r. Give j(c(w)). 5329*w**4 + 146*w**3 + w**2 Let s(m) = 3*m. Let v(u) = -58*u**2 - 8*u. Give s(v(g)). -174*g**2 - 24*g Let b(j) = -j. Let f(a) = 2*a**2 + 651*a - 2. Give b(f(w)). -2*w**2 - 651*w + 2 Suppose 2*p - 5*p = -30. Let i(m) = -4*m**2 - p*m + 2*m**2 + 10*m. Let j(q) = -4*q**2. What is i(j(a))? -32*a**4 Let f(t) be the first derivative of 0*t**2 - 7/3*t**3 + 1 + 0*t. Let g(s) = 2*s**2. Determine f(g(r)). -28*r**4 Let r(y) = 3*y**2. Let t(j) = -28*j - 8. Let u(d) = 9*d + 3. Let w(b) = -3*t(b) - 8*u(b). Determine r(w(n)). 432*n**2 Let z(i) = -5*i - 2. Let b(t) = -t + 14 - 4 - 10. Give z(b(l)). 5*l - 2 Let t be (-10)/(-25)*5/1. Let j(i) = 2*i + 3*i - t*i + 0*i. Let a(q) = 2*q**2. Calculate a(j(m)). 18*m**2 Let n(v) = -v**2. Let y(g) be the third derivative of -g**8/10080 - g**5/15 + 3*g**2. Let k(b) be the third derivative of y(b). What is n(k(i))? -4*i**4 Let u(z) = 2*z**2. Suppose 2*b - 18 = -12. Let k(x) = -b*x + 6*x + 0*x + 4*x. Calculate u(k(t)). 98*t**2 Let d = 26 - 16. Let q = d + -7. Let p(n) = 2*n + q - 3. Let o(v) = v. Determine p(o(x)). 2*x Let h(m) = -65*m**2. Let g(s) = 2*s. Give g(h(w)). -130*w**2 Let u(y) = -2*y**2. Let j(w) = -4*w. Calculate j(u(z)). 8*z**2 Let d(z) = 4*z - 2*z + 11*z + z. Let q(m) = -5*m**2 - 3*m. Let b(w) = 26*w**2 + 16*w. Let i(h) = -3*b(h) - 16*q(h). Calculate i(d(k)). 392*k**2 Let v(s) = 4*s. Let a(k) = 6029*k. Calculate a(v(c)). 24116*c Let k(f) = -2*f + 4. Let i(o) = -11*o - 26. Let q(j) = 4*j + 9. Let r(n) = 6*i(n) + 17*q(n). Let d(l) = 3*k(l) + 4*r(l). Let z(c) = c**2. Determine d(z(t)). 2*t**2 Let x(a) = -2*a**2 - 51*a - 5. Let o(z) = -z. Give x(o(n)). -2*n**2 + 51*n - 5 Let y(p) = p. Let z(w) = 12*w**2 + 4. Calculate z(y(a)). 12*a**2 + 4 Let a(x) = 4*x**2. Let l(j) be the third derivative of -j**6/360 + j**3/3 - j**2. Let z(g) be the first derivative of l(g). Give z(a(v)). -16*v**4 Let r(t) = -67*t**2 - 67*t**2 + 137*t**2. Let a(s) = -32*s**2. What is a(r(d))? -288*d**4 Let z(j) = 3079*j. Let o(p) = 2*p**2. What is z(o(s))? 6158*s**2 Let d(b) = 6*b + 2. Let v(w) = w**2 + 5*w. Let c(i) = -2*i. Let q(k) = 5*c(k) + 2*v(k). Calculate q(d(u)). 72*u**2 + 48*u + 8 Let d(s) = 129*s. Let a(h) = -h**2. Give d(a(i)). -129*i**2 Let a(x) = -15*x**2. Let t(k) = -11*k. Let r(n) = -4*n. Let m(g) = -8*r(g) + 3*t(g). What is a(m(b))? -15*b**2 Suppose 2 + 13 = 3*g. Suppose -2*f + 2 = g*l - 2, 2*f - 4 = -l. Let m(t) = -4*t**2 + 0*t**2 + 3*t**f. Let y(u) = 3*u. Determine y(m(r)). -3*r**2 Let l(o) = -25*o + 7. Let k(r) = -8*r + 2. Let v(h) = -14*k(h) + 4*l(h). Let g(m) = m. Calculate g(v(q)). 12*q Let r(w) = 15*w + 2. Let z(h) = -107*h. What is z(r(y))? -1605*y - 214 Let p(u) = -3*u - u + 4*u - 2*u. Let r(m) be the third derivative of m**5/40 + m**3/3 - m**2. Let w(f) be the first derivative of r(f). Give w(p(q)). -6*q Let y(i) be the first derivative of -i**2/2 + 1. Let w(c) be the second derivative of c**3/3 + 81*c. Determine y(w(n)). -2*n Let x(j) = -2*j. Let z(b) = b - 1. Let d(y) = -3*y + 6. Let r(u) = d(u) + 6*z(u). What is x(r(o))? -6*o Let z(y) = -6*y + 2*y + 2*y. Let p(o) = 8*o - 13. Let n(j) = 4*j - 6. Let i(w) = 13*n(w) - 6*p(w). Determine z(i(u)). -8*u Let j(z) = 2*z**2. Let g(d) be the third derivative of -49*d**5/60 + 4*d**2. Determine j(g(y)). 4802*y**4 Let h(o) = -o**2. Let i(n) be the first derivative of -4 + 0*n**2 - n + 0*n**3 - 1/12*n**4. Let m(f) be the first derivative of i(f). Calculate h(m(v)). -v**4 Let l(h) = -2*h. Let w(z) = z**2 - 1. Let n(d) = 4*d**2 - 5. Let a(y) = 2*n(y) - 10*w(y). Give l(a(q)). 4*q**2 Let t(j) = j**2. Let w(y) = y**2. Let f(d) = 2*t(d) - w(d). Let n(o) be the third derivative of -5*o**4/12 + 5*o**2. What is n(f(x))? -10*x**2 Let v(q) be the second derivative of q**3/3 - 16*q. Suppose 5*n = -2*t + 25, -6*n + 3*n + t + 15 = 0. Let g(m) = n*m - 5*m + 2*m**2. Calculate v(g(c)). 4*c**2 Let h(f) be the third derivative of f**6/720 - f**4/24 + 2*f**2. Let w(x) be the second derivative of h(x). Let s(q) = 2*q. Calculate w(s(r)). 2*r Let f(z) = 2*z**2. Let v(o) = -25*o - 17. Let m(t) = 3*t + 2. Let r(g) = -51*m(g) - 6*v(g). Calculate r(f(j)). -6*j**2 Let c(u) = -u. Let s(z) = 9*z + 24*z - 17*z. Give c(s(y)). -16*y Let r(c) = -2*c**2. Let u = 1 - -1. Suppose 2 = u*i - i. Let s(m) = -3*m**i + 2*m**2 + 2*m**2. Calculate r(s(n)). -2*n**4 Let j(c) = -6. Let o(b) = b + 11. Let v(u) = -11*j(u) - 6*o(u). Let z(f) be the second derivative of f**3/3 + 18*f. What is v(z(n))? -12*n Let z(s) = 3*s**2. Suppose 2*u - 3*f + 17 = 7*u, 0 = f + 1. Suppose -q + u = -0*q. Let l(o) = -2*o**2 - 4 + q. Give l(z(j)). -18*j**4 Let a = 1 + -1. Let d(t) = a*t - t - t. Let g(o) = 5534*o - 5534*o - 3*o**2. Give d(g(q)). 6*q**2 Let u(p) be the third derivative of p**4/24 - 34*p**2. Let m(r) = -79*r**2. What is u(m(l))? -79*l**2 Let n(i) = 27*i + 2. Let v(l) = -9*l. Determine v(n(t)). -243*t - 18 Let k(v) = -7 + 5*v + 8 - 1. Let r(l) = 4*l**2. Determine k(r(s)). 20*s**2 Let m(p) = 7*p**2. Let y(h) = 4 - 11 - 2*h + 7. Calculate m(y(s)). 28*s**2 Let k(h) = 2*h**2. Let o(j) = -78*j + 2. Give o(k(v)). -156*v**2 + 2 Let o(h) = 2*h**2. Let g(p) = -37606*p. What is o(g(v))? 2828422472*v**2 Let n(u) = u + 1. Let r(m) = -10*m + 5. Let z(a) = 5*n(a) - r(a). Let b(h) = -2*h. What is b(z(o))? -30*o Let n(z) = -7*z. Let a(c) = c - 3*c - 4*c + 4*c. Determine n(a(t)). 14*t Let q(x) = -3*x**2 + 0*x**2 + 2*x**2. Let n(b) = 3*b + 80 - 80. Calculate q(n(f)). -9*f**2 Let d(q) = q - 1. Let u(v) = -15*v + 9. Let h(k) = -9*d(k) - u(k). Let m(s) = -2*s. Determine m(h(y)). -12*y Let v(l) = -5*l + 3. Let i(g) = 2*g - 1. Let s(a) = 6*i(a) + 2*v(a). Let n(w) be the first derivative of -2*w**3/3 - 1. Determine n(s(c)). -8*c**2 Let b(h) = 91*h. Let j(w) be the third derivative of -w**4/12 + 16*w**2. Calculate b(j(v)). -182*v Let f be (-2)/(2 + (-12)/7). Let v = 13 + f. Let p(s) = -v*s - 2*s + 6*s. Let t(r) = -r**2. Give t(p(n)). -4*n**2 Let a(o) = 0 + o + 0. Let c(y) = 2 - 2 + 5*y. Let g(d) = -135*d. Let q(h) = -55*c(h) - 2*g(h). Determine q(a(k)). -5*k Let s(i) = -10*i. Let h(k) = -23*k**2. What is s(h(j))? 230*j**2 Let c(p) be the first derivative of -p**2/2 - 1. Let r(n) = 9*n**2 + 5. Let y = -9 - -11. Let z(t) = -4*t**2 - 2. Let v(m) = y*r(m) + 5*z(m). Give v(c(h)). -2*h**2 Let a(i) = i. Let y(d) = -6*d. Let u(v) = -21*a(v) - 4*y(v). Let h(x) = 6*x**2. Give h(u(n)). 54*n**2 Let l(m) = 3*m. Let v(y) be the third derivative of y**5/60 + 16*y**2. What is l(v(p))? 3*p**2 Let a(w) = -17*w**2 + 11*w + 11. Let s(q) be the first derivative of -2*q**3 + 2*q**2 + 4*q + 3. Let r(j) = 4*a(j) - 11*s(j). Let g(l) = -l. What is r(g(y))? -2*y**2 Let u(h) = 5*h**2. Let x(z) = -z**2 - 259*z. What is x(u(i))? -25*i**4 - 1295*i**2 Let v(u) = u**2. Let y(i) = -353*i. Calculate v(y(f)). 124609*f**2 Let z(f) = 2*f. Let o(i) = 1962*i**2 + i + 3. Give o(z(k)). 7848*k**2 + 2*k + 3 Let l(y) be the third derivative of -y**6/180 + y**3/2 + y**2. Let x(n) be the first derivative of l(n). Let j(t) = 3*t. Calculate j(x(z)). -6*z**2 Let z(o) = 251*o**2.
{ "pile_set_name": "DM Mathematics" }
b of picking 2 q when two letters picked without replacement from qwvqwwwwqn? 1/15 What is prob of picking 2 h when two letters picked without replacement from yyhyyhhhrh? 2/9 What is prob of picking 1 h, 1 y, and 1 g when three letters picked without replacement from vhcygcj? 1/35 What is prob of picking 2 p and 2 x when four letters picked without replacement from xpxxppxxxxppppxxxxx? 231/646 Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {w: 2, t: 4, q: 2, n: 9, m: 1, s: 2}. 2/95 What is prob of picking 2 a when two letters picked without replacement from {l: 7, h: 1, a: 6}? 15/91 Two letters picked without replacement from pqqpqqpppqpqpq. Give prob of picking 2 q. 3/13 Calculate prob of picking 1 g and 3 c when four letters picked without replacement from cgccgccgcc. 1/2 Three letters picked without replacement from nnmnznnmnndznndzim. Give prob of picking 1 m and 2 d. 1/272 Two letters picked without replacement from pvgvjog. Give prob of picking 1 v and 1 p. 2/21 Calculate prob of picking 2 b when two letters picked without replacement from {z: 8, j: 3, b: 7}. 7/51 Two letters picked without replacement from {k: 2, j: 2, s: 2, l: 1, i: 1}. What is prob of picking 2 j? 1/28 Four letters picked without replacement from {l: 1, c: 3, a: 5}. What is prob of picking 1 c, 1 l, and 2 a? 5/21 Calculate prob of picking 2 v when two letters picked without replacement from biivfhbv. 1/28 Two letters picked without replacement from {i: 5, s: 4, v: 1, j: 5}. Give prob of picking 2 i. 2/21 Calculate prob of picking 1 r, 1 n, and 2 s when four letters picked without replacement from nrnsnsbbbsssbs. 45/1001 Two letters picked without replacement from {y: 10}. What is prob of picking 2 y? 1 What is prob of picking 1 t and 1 o when two letters picked without replacement from {y: 4, t: 1, o: 6}? 6/55 Calculate prob of picking 1 r and 1 t when two letters picked without replacement from rtrrrrrrt. 7/18 Two letters picked without replacement from {w: 3, y: 1, s: 1, o: 1, q: 1}. Give prob of picking 1 o and 1 y. 1/21 Two letters picked without replacement from {p: 16, o: 2}. What is prob of picking 2 o? 1/153 Three letters picked without replacement from {z: 6, y: 6, e: 7}. What is prob of picking 1 z, 1 y, and 1 e? 84/323 Three letters picked without replacement from ifiifuuui. Give prob of picking 3 u. 1/84 What is prob of picking 2 n when two letters picked without replacement from bbbbbbbbbbbnnbbbbbb? 1/171 Three letters picked without replacement from {e: 3, d: 8}. What is prob of picking 3 e? 1/165 What is prob of picking 2 w and 2 i when four letters picked without replacement from {i: 4, w: 3, f: 1}? 9/35 What is prob of picking 1 g and 1 d when two letters picked without replacement from ddnndgndd? 5/36 Three letters picked without replacement from lylmywllllmmw. What is prob of picking 2 l and 1 m? 45/286 Two letters picked without replacement from fyxffyefrfyffrffyy. Give prob of picking 1 e and 1 f. 1/17 Two letters picked without replacement from {a: 2, j: 1, h: 4, w: 7}. Give prob of picking 1 w and 1 h. 4/13 What is prob of picking 1 x and 3 y when four letters picked without replacement from {q: 4, y: 2, u: 3, z: 1, x: 1}? 0 Four letters picked without replacement from bbennnpepyny. What is prob of picking 1 b, 1 y, 1 p, and 1 n? 32/495 Four letters picked without replacement from {o: 5, r: 3, d: 2, q: 5}. Give prob of picking 1 r, 2 d, and 1 q. 1/91 Three letters picked without replacement from wwwwhhwww. Give prob of picking 3 w. 5/12 What is prob of picking 2 f when two letters picked without replacement from ofomorsfororof? 3/91 Three letters picked without replacement from dpddppdpppdddpdd. What is prob of picking 3 d? 3/20 Calculate prob of picking 1 f and 1 s when two letters picked without replacement from sqfvvsffffqsvqsv. 1/6 Three letters picked without replacement from {x: 3, i: 9}. Give prob of picking 3 x. 1/220 Three letters picked without replacement from kuuajkkaukuak. Give prob of picking 1 j and 2 a. 3/286 Calculate prob of picking 1 d and 3 r when four letters picked without replacement from perpdrr. 1/35 What is prob of picking 2 g when two letters picked without replacement from {a: 9, g: 2, o: 8, h: 1}? 1/190 Two letters picked without replacement from ydjbqyt. What is prob of picking 1 j and 1 y? 2/21 Calculate prob of picking 1 i and 3 r when four letters picked without replacement from irriiiiiirririii. 11/182 Two letters picked without replacement from ergeueueesuegeuee. What is prob of picking 1 g and 1 s? 1/68 Calculate prob of picking 3 h when three letters picked without replacement from hpphp. 0 Three letters picked without replacement from pbppk. What is prob of picking 1 b, 1 k, and 1 p? 3/10 Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {t: 1, o: 1, m: 4, u: 2}. 1/28 Two letters picked without replacement from {o: 2, m: 1, q: 4}. What is prob of picking 1 m and 1 o? 2/21 What is prob of picking 3 r when three letters picked without replacement from {r: 10}? 1 Three letters picked without replacement from xttutkmuxtdk. Give prob of picking 1 k, 1 t, and 1 m. 2/55 What is prob of picking 2 h when two letters picked without replacement from {y: 2, h: 9}? 36/55 Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {q: 1, j: 2}. 2/3 Two letters picked without replacement from mmymmymmymmmmmmyymmm. What is prob of picking 2 m? 21/38 Four letters picked without replacement from {t: 9, o: 3}. Give prob of picking 2 o and 2 t. 12/55 What is prob of picking 1 t and 1 f when two letters picked without replacement from tkfcttktdkkkk? 2/39 What is prob of picking 1 g and 1 e when two letters picked without replacement from {y: 1, d: 1, e: 1, t: 1, g: 1}? 1/10 Calculate prob of picking 2 z and 1 t when three letters picked without replacement from {z: 1, t: 1, g: 1, i: 1, l: 1}. 0 Calculate prob of picking 2 f when two letters picked without replacement from {m: 1, f: 3, e: 4, q: 5, c: 3, d: 1}. 3/136 What is prob of picking 1 u and 1 n when two letters picked without replacement from unn? 2/3 Two letters picked without replacement from {j: 4, b: 1, i: 11, x: 3}. What is prob of picking 1 j and 1 i? 44/171 Calculate prob of picking 2 q and 1 y when three letters picked without replacement from qywwqsyqqqqmmm. 15/182 Calculate prob of picking 1 t, 1 y, and 1 v when three letters picked without replacement from {y: 2, t: 2, m: 1, v: 1, b: 1, k: 2}. 1/21 Two letters picked without replacement from xorrxxor. What is prob of picking 1 o and 1 r? 3/14 Calculate prob of picking 2 j when two letters picked without replacement from {j: 5, v: 7}. 5/33 Three letters picked without replacement from {b: 1, g: 1, x: 2, l: 1, a: 1, f: 2}. Give prob of picking 1 b, 1 g, and 1 f. 1/28 Two letters picked without replacement from ttttjpjjlllfjjtl. What is prob of picking 1 f and 1 j? 1/24 Three letters picked without replacement from ppbbpp. What is prob of picking 3 p? 1/5 Three letters picked without replacement from {c: 1, m: 1, t: 1, o: 2}. Give prob of picking 2 o and 1 t. 1/10 Two letters picked without replacement from zqisvzqvf. Give prob of picking 1 q and 1 i. 1/18 What is prob of picking 4 f when four letters picked without replacement from {f: 9}? 1 Two letters picked without replacement from ipibiiiiniiiibni. Give prob of picking 2 b. 1/120 What is prob of picking 1 x, 1 h, and 1 i when three letters picked without replacement from xxhixyiixxhxxyyxh? 9/85 Three letters picked without replacement from {d: 5, z: 3}. Give prob of picking 1 z and 2 d. 15/28 What is prob of picking 1 o and 1 v when two letters picked without replacement from {v: 1, e: 1, h: 2, m: 1, t: 1, o: 1}? 1/21 Four letters picked without replacement from {g: 11, e: 1, c: 2, q: 1, p: 5}. What is prob of picking 1 c, 1 g, and 2 p? 44/969 What is prob of picking 3 j and 1 t when four letters picked without replacement from {i: 5, j: 6, t: 2}? 8/143 Three letters picked without replacement from ubuubuuuuuuuubububu. What is prob of picking 1 u and 2 b? 140/969 Two letters picked without replacement from {d: 1, l: 2, b: 1, u: 1, m: 1, o: 1}. What is
{ "pile_set_name": "DM Mathematics" }
rm of -53, -101, -149? -48*i - 5 What is the f'th term of 67, 75, 85, 97, 111, 127, 145? f**2 + 5*f + 61 What is the b'th term of -2142, -2150, -2164, -2184? -3*b**2 + b - 2140 What is the t'th term of 26, 59, 120, 215, 350, 531, 764? t**3 + 8*t**2 + 2*t + 15 What is the v'th term of 1214, 2425, 3636, 4847, 6058, 7269? 1211*v + 3 What is the p'th term of 70, 392, 960, 1768, 2810, 4080, 5572? -p**3 + 129*p**2 - 58*p What is the p'th term of 548, 555, 576, 617, 684? p**3 + p**2 - 3*p + 549 What is the g'th term of 355, 362, 369, 376, 383? 7*g + 348 What is the n'th term of -1810, -1800, -1790, -1780, -1770, -1760? 10*n - 1820 What is the n'th term of 49, 76, 115, 172, 253, 364, 511? n**3 + 20*n + 28 What is the q'th term of -37, -138, -301, -526, -813, -1162, -1573? -31*q**2 - 8*q + 2 What is the m'th term of -68, -62, -44, -8, 52? m**3 - m - 68 What is the d'th term of -47, -157, -347, -623, -991, -1457, -2027, -2707? -d**3 - 34*d**2 - d - 11 What is the p'th term of -45, -104, -163, -222, -281? -59*p + 14 What is the p'th term of 4177, 4166, 4139, 4090, 4013, 3902? -p**3 - 2*p**2 + 2*p + 4178 What is the q'th term of -913, -1820, -2729, -3640, -4553? -q**2 - 904*q - 8 What is the s'th term of -7191, -7193, -7195, -7197, -7199, -7201? -2*s - 7189 What is the p'th term of -413, -684, -955, -1226, -1497, -1768? -271*p - 142 What is the s'th term of -5199, -5200, -5201? -s - 5198 What is the j'th term of -493, -495, -497? -2*j - 491 What is the d'th term of -22, -68, -146, -256, -398, -572? -16*d**2 + 2*d - 8 What is the t'th term of -13, -32, -59, -94, -137? -4*t**2 - 7*t - 2 What is the p'th term of 16, 25, 28, 19, -8, -59, -140, -257? -p**3 + 3*p**2 + 7*p + 7 What is the c'th term of 503, 517, 539, 575, 631, 713, 827? c**3 - 2*c**2 + 13*c + 491 What is the d'th term of -1661, -1660, -1659, -1658, -1657? d - 1662 What is the w'th term of 240, 227, 214? -13*w + 253 What is the n'th term of -22, -11, 4, 23, 46, 73? 2*n**2 + 5*n - 29 What is the a'th term of -109, -149, -219, -325, -473? -a**3 - 9*a**2 - 6*a - 93 What is the k'th term of 99, 109, 119, 129, 139, 149? 10*k + 89 What is the a'th term of 477, 952, 1427? 475*a + 2 What is the n'th term of -23, -17, 1, 37, 97, 187, 313, 481? n**3 - n - 23 What is the x'th term of -58, -97, -136? -39*x - 19 What is the k'th term of 70, 67, 64, 61, 58? -3*k + 73 What is the r'th term of 765, 756, 735, 696, 633? -r**3 - 2*r + 768 What is the l'th term of -35, -201, -469, -833, -1287, -1825, -2441? l**3 - 57*l**2 - 2*l + 23 What is the y'th term of 69, 84, 109, 144, 189, 244, 309? 5*y**2 + 64 What is the d'th term of 96, 240, 478, 810? 47*d**2 + 3*d + 46 What is the o'th term of -83, -160, -237? -77*o - 6 What is the h'th term of 1701, 1702, 1703, 1704, 1705? h + 1700 What is the g'th term of 505, 2022, 4551, 8092, 12645, 18210? 506*g**2 - g What is the q'th term of 92, 155, 212, 263, 308, 347, 380? -3*q**2 + 72*q + 23 What is the c'th term of 341, 656, 921, 1112, 1205, 1176, 1001, 656? -4*c**3 - c**2 + 346*c What is the y'th term of 709, 730, 751, 772? 21*y + 688 What is the w'th term of 114, 344, 728, 1266? 77*w**2 - w + 38 What is the s'th term of 109, 95, 47, -53, -223, -481, -845, -1333? -3*s**3 + s**2 + 4*s + 107 What is the g'th term of 207, 411, 615, 819, 1023, 1227? 204*g + 3 What is the f'th term of -12, 20, 90, 192, 320, 468, 630, 800? -f**3 + 25*f**2 - 36*f What is the z'th term of -31, -36, -45, -58, -75, -96, -121? -2*z**2 + z - 30 What is the l'th term of 26, 47, 104, 215, 398, 671? 3*l**3 + 23 What is the c'th term of 6, 23, 44, 69, 98? 2*c**2 + 11*c - 7 What is the t'th term of -8, -30, -62, -110, -180, -278, -410, -582? -t**3 + t**2 - 18*t + 10 What is the f'th term of 19, -89, -261, -491, -773, -1101, -1469, -1871? f**3 - 38*f**2 - f + 57 What is the j'th term of -230, -460, -686, -908? 2*j**2 - 236*j + 4 What is the l'th term of 3957, 3948, 3937, 3924, 3909, 3892, 3873? -l**2 - 6*l + 3964 What is the d'th term of -4052, -4041, -4020, -3983, -3924, -3837, -3716, -3555? d**3 - d**2 + 7*d - 4059 What is the r'th term of 36, 144, 324, 582, 924, 1356? r**3 + 30*r**2 + 11*r - 6 What is the q'th term of 15, 30, 57, 102, 171, 270, 405, 582? q**3 + 8*q + 6 What is the m'th term of 1440, 1428, 1416, 1404, 1392, 1380? -12*m + 1452 What is the z'th term of 0, 2, 6, 12, 20, 30? z**2 - z What is the u'th term of -7314, -7315, -7316, -7317, -7318? -u - 7313 What is the n'th term of 94, 114, 134? 20*n + 74 What is the m'th term of 31, 126, 293, 538, 867, 1286, 1801, 2418? m**3 + 30*m**2 - 2*m + 2 What is the t'th term of 3432, 3431, 3430, 3429, 3428, 3427? -t + 3433 What is the f'th term of -93, -173, -237, -279, -293? f**3 + 2*f**2 - 93*f - 3 What is the m'th term of 241, 489, 729, 955, 1161, 1341, 1489, 1599? -m**3 + 2*m**2 + 249*m - 9 What is the w'th term of 24, 24, 26, 30, 36, 44? w**2 - 3*w + 26 What is the n'th term of -25, -103, -313, -721, -1393, -2395, -3793? -11*n**3 - n - 13 What is the q'th term of 14, 10, 6? -4*q + 18 What is the c'th term of 96, 198, 286, 354, 396, 406, 378? -c**3 - c**2 + 112*c - 14 What is the p'th term of -1, 0, -9, -34, -81? -p**3 + p**2 + 5*p - 6 What is the d'th term of 276, 539, 802, 1065, 1328, 1591? 263*d + 13 What is the v'th term of 795, 1593, 2391, 3189? 798*v - 3 What is the f'th term of 49, 100, 141, 166, 169, 144? -f**3 + f**2 + 55*f - 6 What is the g'th term of -34, -20, -2, 20, 46, 76, 110? 2*g**2 + 8*g - 44 What is the l'th term of 196, 114, 28, -62, -156? -2*l**2 - 76*l + 274 What is the h'th term of 341, 701, 1061? 360*h - 19 What is the r'th term of 2165, 2166, 2167, 2168, 2169? r + 2164 What is the y'th term of -11, -19, -27, -35, -43, -51? -8*y - 3 What is the m'th term of -39, -172, -395, -708, -1111? -45*m**2 + 2*m + 4 What is the f'th term of 1040, 1028, 1008, 980? -4*f**2 + 1044 What is the p'th term of -14, -31, -48? -17*p + 3 What is the w'th term of -27, -109, -239, -411, -619, -857, -1119? w**3 - 30*w**2 + w + 1 What is the p'th term of -6, -20, -50, -102, -182? -p**3 - 2*p**2 - p - 2 What is the x'th term of -2880, -5778, -8688, -11616, -14568? -x**3 - 2891*x + 12 What is the z'th term of -39, -111, -305, -681, -1299, -2219? -10*z**3 - z**2 + z - 29 What is the n'th term of 30, 36, 40, 42, 42, 40? -n**2 + 9*n + 22 What is the t'th term of 474, 1932, 4362, 7764, 12138, 17484, 23802? 486*t**2 - 12 What is the r'th term of -310, -320, -332, -346, -362? -r**2 - 7*r - 302 What is the u'th term of -104, -428, -968, -1724? -108*u**2 + 4 What is the k'th term of 233, 232, 231? -k + 234 What is the i'th term of -290, -294, -298? -4*i - 286 What is the a'th term of 1246, 1243, 1240, 1237, 1234, 1231? -3*a + 1249 What is the o'th term of 41, 40, 29, 2, -47, -124, -235? -o**3 + o**2 + 3*o + 38 What is the v'th term of -142, -140, -138, -136? 2*v - 144 What is the o'th term of -3983, -3978, -3973, -3968, -3963, -3958? 5*o - 3988 What is the f'th term of 5, -11, -29, -49? -f**2 - 13*f + 19 What is the l'th term of 1190, 1196, 1204, 1214? l**2 + 3*l + 1186 What is the k'th term of 242, 949, 2136, 3809, 5974, 8637? k**3 + 234*k**2 - 2*k + 9 What is the w'th term of 344, 346, 348, 350? 2*w + 342 What is the f'th term of -173, -167, -147, -107, -41? f**3 + f**2 - 4*f - 171 What is the n'th term of -113, -115, -119, -125? -n**2 + n - 113 What is the l'th term of 0, 9, 30, 69, 132, 225, 354, 525? l**3 + 2*l - 3 What is the n'th term of -1623, -3238, -4851, -6462, -8071, -9678, -11283? n**2 - 1618*n - 6 What is the n'th term of -72, -150, -234, -324? -3*n**2 - 69*n What is the z'th term of 4186, 4193, 4214, 4255, 4322, 4421, 4558? z**3 + z**2 - 3*z + 4187 What is the n'th term of 11, 17, 23, 29? 6*n + 5 What is the t'th term of 64, 156, 280, 436? 16*t**2 + 44*t + 4 What is the u'th term of 1, -38, -109, -218, -371, -574, -833? -u**3 - 10*u**2 - 2*u + 14 What is the q'th term of -212, -424, -636, -848, -1060, -1272? -212*q What is the z'th term of 252, 459, 668, 879, 1092, 1307, 1524? z**2 + 204*z + 47 What is the q'th term of -12039, -24077, -36115, -48153, -60191? -12038*q - 1 What is the s'th term of 1, 37, 107, 217, 373, 581, 847? s**3 + 11*s**2 - 4*s - 7 What is the q'th term of -2, -12, -28, -50? -3*q**2 - q + 2 What is the p'th term of 31, 14, -5, -26
{ "pile_set_name": "DM Mathematics" }
d by 115. -246/23 Divide 145208 by 7. 20744 Calculate -620 divided by 310. -2 Divide 6 by -76601. -6/76601 -411597 divided by -19 21663 What is -199260 divided by -1107? 180 -196 divided by -5407 196/5407 Calculate 3 divided by 11423. 3/11423 What is -2123420 divided by -1061710? 2 What is 244804 divided by -2? -122402 What is 619552 divided by -2038? -304 Divide -6 by 11025. -2/3675 Calculate 21 divided by 12918. 7/4306 Calculate 1 divided by 1492. 1/1492 -4946 divided by 7 -4946/7 What is 178477 divided by 7? 178477/7 1 divided by -71421 -1/71421 Calculate -2449 divided by -309. 2449/309 Calculate -8320 divided by -2. 4160 What is 101174 divided by 4? 50587/2 Calculate -29095 divided by -10. 5819/2 What is 193719 divided by -3? -64573 What is 197456 divided by -1148? -172 What is -261489 divided by -23? 261489/23 Calculate -809130 divided by 161826. -5 Divide -42116 by -2. 21058 Calculate -3022612 divided by -755653. 4 Divide 2 by 123980. 1/61990 Calculate 1810164 divided by 4. 452541 -12 divided by -38084 3/9521 What is -1202 divided by -225? 1202/225 Divide 1379 by 1. 1379 8 divided by 3842 4/1921 What is -568512 divided by 2256? -252 Calculate -64395 divided by -76. 64395/76 Calculate 6372 divided by 2. 3186 6 divided by -3586 -3/1793 Divide -4356 by -12. 363 What is -307 divided by 90? -307/90 What is -24 divided by -87400? 3/10925 Calculate -872 divided by -629. 872/629 Calculate 1595360 divided by -6. -797680/3 Divide 43539 by 43539. 1 Divide 5571971 by -4. -5571971/4 What is -66052 divided by 4? -16513 Calculate 269597 divided by -6. -269597/6 28042 divided by 14 2003 937 divided by 12 937/12 What is -3 divided by -24707? 3/24707 What is 49623 divided by 2363? 21 160 divided by 2963 160/2963 Divide -1219981 by 2. -1219981/2 Divide 45724 by 3. 45724/3 What is 9783 divided by 67? 9783/67 Divide 131388 by 5. 131388/5 What is -1850082 divided by 3? -616694 Divide 476917 by -49. -9733 Divide -920016 by 38334. -24 510 divided by -85 -6 What is 33684 divided by -6? -5614 Divide -26052 by 2004. -13 Divide -97608 by -7. 13944 Calculate -21174 divided by 2. -10587 Calculate -32 divided by -460. 8/115 What is 538 divided by 94? 269/47 1319525 divided by 263905 5 Calculate -81 divided by -3000. 27/1000 Calculate -9302 divided by -4651. 2 100090 divided by -10 -10009 What is 2150 divided by -351? -2150/351 -1 divided by -787979 1/787979 Calculate -1 divided by 191305. -1/191305 Calculate 472 divided by -9748. -118/2437 Divide 142766 by -38. -3757 -12 divided by 8962 -6/4481 What is 716823 divided by 2? 716823/2 Divide -658904 by -184. 3581 Divide 39106 by -4. -19553/2 147956 divided by 1574 94 What is -16514 divided by 8257? -2 Calculate 10552 divided by -4. -2638 Calculate -4310 divided by 10. -431 Divide -979 by 11. -89 Divide -53836 by 26918. -2 Calculate -126714 divided by 1293. -98 -43 divided by 594 -43/594 Divide -4930420 by -4. 1232605 What is 7547 divided by -47? -7547/47 Calculate 26644 divided by -6661. -4 832 divided by -2 -416 Divide -45 by -112. 45/112 What is -11316 divided by 2? -5658 -24080 divided by 35 -688 Calculate -3501146 divided by -11. 318286 What is 12 divided by -99992? -3/24998 Divide -188672 by -1. 188672 -36540 divided by 1015 -36 -310097 divided by 1 -310097 What is -9 divided by -1473? 3/491 -608671 divided by -977 623 What is -1261691 divided by -3329? 379 Divide -117 by 1477. -117/1477 26360 divided by 10 2636 -289056 divided by 5 -289056/5 Divide -505715 by -101143. 5 Calculate 5 divided by 108635. 1/21727 Calculate -2 divided by 260044. -1/130022 Calculate 1373526 divided by -126. -10901 What is -6 divided by 5879? -6/5879 -1582 divided by -2 791 -30219 divided by 4317 -7 Calculate 63 divided by -8599. -63/8599 -194879 divided by 5267 -37 Calculate 943 divided by -1227. -943/1227 4 divided by -7204 -1/1801 3 divided by 67997 3/67997 Divide 153618 by 3. 51206 What is -2775500 divided by -854? 3250 What is 3744 divided by -317? -3744/317 -243183 divided by 81061 -3 Calculate 212388 divided by -106194. -2 Calculate 6517566 divided by -6. -1086261 3791 divided by 17 223 Divide 129055 by 1. 129055 Divide -3 by -34270. 3/34270 Calculate -102067 divided by 49. -2083 Calculate 0 divided by 595. 0 What is -4254180 divided by 5? -850836 -4536 divided by 16 -567/2 Divide 12470 by -57. -12470/57 Divide -1131 by -66. 377/22 Calculate -1672763 divided by 7369. -227 What is -2090880 divided by 121? -17280 Divide 256 by 6948. 64/1737 212982 divided by -70994 -3 10 divided by 1779 10/1779 -1854182 divided by 6 -927091/3 Calculate 746 divided by -22. -373/11 -21045 divided by -3 7015 -262 divided by -329 262/329 Divide 173 by -7371. -173/7371 What is -352218 divided by -7494? 47 Divide -13488 by -3. 4496 84063 divided by 6 28021/2 -21474 divided by -3579 6 Divide 1 by -12349. -1/12349 What is -14683 divided by -14683? 1 What is 228920 divided by -3880? -59 What is 0 divided by -11926? 0 What is -6 divided by 4332? -1/722 Calculate -4381 divided by 64. -4381/64 43502 divided by -10 -21751/5 -182736 divided by 141 -1296 What is -36999 divided by 11? -36999/11 Calculate -71905 divided by -8. 71905/8 Calculate 106560 divided by -740. -144 -2142 divided by -461 2142/461 -9 divided by -1010938 9/1010938 -625549 divided by -1 625549 -13552 divided by -242 56 Calculate -41211 divided by -2169. 19 -85034 divided by 1394 -61 -570622 divided by 34 -16783 Divide 1751 by 5. 1751/5 Calculate 0 divided by -461040. 0 -245052 divided by -3 81684 Divide -412174 by -58882. 7 Calculate -52997 divided by 52. -52997/52 31 divided by 8164 31/8164 12888 divided by -1074 -12 Divide -5 by 12200. -1/2440 What is -443 divided by -14? 443/14 What is -3 divided by -5173? 3/5173 Divide -379 by -104. 379/104 Calculate 1 divided by -11559. -1/11559 Calculate -500 divided by -1005. 100/201 Calculate -54986 divided by -2. 27493 What is -98805 divided by 19761? -5 1112 divided by -5 -1112/5 Divide -149568 by -912. 164 Divide 232679 by 1. 232679 Divide 876 by -334. -438/167 Calculate 18621 divided by -10. -18621/10 Divide 252378 by 2. 126189 Calculate -105090 divided by -113. 930 Divide -46 by 28717. -46/28717 Divide 82652 by -2. -41326 Divide 20480 by 160. 128 -388452 divided by -6 64742 Calculate -214 divided by 224. -107/112 What is 24 divided by 55517? 24/55517 Divide 337444 by -3. -337444/3 Divide 908 by -454. -2 Divide -40851 by 34. -2403/2 Divide 2612092 by 2. 1306046 What is -255 divided by 2935? -51/587 77648 divided by -23 -3376 19 divided by 300 19/300 What is -10875082 divided by 2? -5437541 Calculate -1150095 divided by -6. 383365/2 What is -792376 divided by -802? 988 Divide 0 by -18083. 0 57 divided by -1588 -57/1588 Divide 66249 by -22083. -3 Divide -7092036 by -28143. 252 4 divided by 237225 4/237225 Divide -36978 by 6. -6163 33372 divided by 2 16686 257679 divided by -6 -85893/2 What is -19476 divided by -4? 4869 152847 divided by -459 -333 Calculate -22244 divided by 67. -332 What is -392596 divided by 244? -1609 Calculate -122841 divided by -1. 122841 Divide -167262 by -183. 914 What is 5 divided by -97688? -5/97688 What is 4606 divided by -173? -4606/173 Calculate 4683039 divided by -3. -1561013 -444420 divided by -3292 135 Calculate -726174 divided by -242058. 3 Calculate 76440 divided by -56. -1365 9 divided by -11750 -9/11750 Divide -18905 by -3781. 5 Divide 6160647 by -17. -362391 Calculate -53634 divided by 8939. -6 What is -88876 divided by -68? 1307 Calculate 185 divided by -6884. -185/6884 What is -1432666 divided by 2? -716333 -658250 divided by 13165 -50 Divide 96189 by 32063. 3 -1 divided by 1743507 -1/1743507 Calculate 173796 divided by 28966. 6 Divide -411112 by -3953. 104 What is -3817028 divided by -1? 3817028 Divide 117869 by 379. 311 Calculate -112 divided by 649. -112/649 What is -7648 divided by -2? 3824 What is 19099 divided by -269? -71 102775 divided by 5 20555 What is -1297 divided by 957? -1297/957 Calculate 7389 divided by -18. -821/2 Calculate 2006022 divided by -6. -334337 -864888 divided by 4 -216222 What is 3 divided by -2336? -3/2336 -4170 divided by -13 4170/13 What is 16942 divided by -16942? -1 3194934 divided by -6 -532489 Divide 56340 by -11268. -5 Divide 2627 by -201. -2627/201 Divide -710426 by 6. -35521
{ "pile_set_name": "DM Mathematics" }
t k = w - -30. What is the units digit of k? 4 Let u(n) = -3*n - 19. Let l be u(-8). Suppose -i + 1 = r - 4, 3*r + l*i - 23 = 0. What is the tens digit of -3*r/9*-138? 4 Suppose f = 3*f - 4. Let t be (184/4)/(f + -3). Let z = -20 - t. What is the tens digit of z? 2 Let h = -24 + 156. Suppose -n + h = 4*k - 0*n, -5*k + 2*n + 178 = 0. What is the units digit of k? 4 Let r = 1182 + -434. What is the units digit of r? 8 Let w(v) = -11*v**3 - 2*v**2 + v - 2. Let r be w(-2). Let k = -21 + r. What is the tens digit of k? 5 Suppose -2*s + 0*s = -4. Suppose -4*i + s = -14. Suppose i = q - 0, 4*u - 164 = -3*q. What is the units digit of u? 8 Suppose -3*y + 20 - 11 = 0. Suppose 5*i - 136 = -4*w, y*w + w - 3*i - 136 = 0. What is the tens digit of w? 3 Let a(z) = -2*z**3 - 13*z**2 - 15*z - 19. What is the hundreds digit of a(-13)? 3 Let r(w) = -w**3 - 15*w**2 - 12*w - 17. Let f be r(-14). Let o = 10 - f. What is the units digit of o? 5 What is the tens digit of 38/(623/154 - 4)? 3 Let g(k) = -k + 4*k - 9 - 11*k. What is the tens digit of g(-9)? 6 Let r = 33 - 53. What is the tens digit of -24*(-7)/((-42)/r)? 8 Let x = 94 - -91. What is the hundreds digit of x? 1 Let a(h) = -h + 1. Let t be a(3). Let o be 4/(-12)*t*6. Suppose -z + 8 = 3*d, o*z + 0*d - 76 = -d. What is the tens digit of z? 2 Let z(u) = -57*u - 7. Let m be z(-6). Suppose -25 = -3*h + m. Suppose 5*r = -0*r + h. What is the tens digit of r? 2 Let j = -2193 - -4290. What is the thousands digit of j? 2 Suppose 0 = k - 3*t - 4060, 0 = 2*k - 5*t + t - 8128. What is the tens digit of k? 7 Let a(g) be the first derivative of -g**3/3 + 13*g**2/2 - 6*g - 18. What is the tens digit of a(7)? 3 What is the hundreds digit of (-4)/(-36)*-2 - (-7031)/9? 7 Let y = 9120 + -4439. What is the tens digit of y? 8 Let m = -6 - -11. Let f be m/(-20) - 3/(-12). Suppose 2*p - r + f*r - 75 = 0, 5*p - 185 = 5*r. What is the units digit of p? 8 Let z = 2317 - 1117. What is the tens digit of z? 0 Suppose -20561 - 10940 = -17*q. What is the tens digit of q? 5 Let g = 31 + -37. What is the tens digit of (3/g)/((-1)/22)? 1 Let i be -1 - 1 - 42/(24/(-4)). Suppose 4*v - i*t = 174 + 71, -4*v + 4*t + 244 = 0. What is the tens digit of v? 6 Let z = 61 - 54. Let n(g) = 4*g - 6. Let a be n(4). Let l = z + a. What is the tens digit of l? 1 Let a be (6/(-9))/(10/(-75)). Suppose a = -i - 9. Let h = i - -25. What is the tens digit of h? 1 Let b be -14 - 0*(-1 - 0). Let f be (4/b)/(7/(-49)). Suppose -12 = -5*a - 2, 5*a = -f*j + 14. What is the units digit of j? 2 Suppose 2*t + 0*t - 36 = -3*w, 0 = -3*t - 5*w + 56. Let j(o) = 6*o - 27. What is the units digit of j(t)? 5 Suppose 0 = -4*w - f + 11, 3*w - 5*f - 10 = -4*f. Suppose -3*h = y - w*y + 243, 1 = h. What is the tens digit of y? 2 Suppose -3*k + v = -v - 135, 2*k = 4*v + 90. Suppose 5*a = 5*c + k, 5*c = -2*a + 3*a - 9. What is the units digit of a/2 + (-4)/8? 4 Suppose 8*f = -173 - 3. What is the tens digit of f*6/(-4)*224/42? 7 Suppose 4*d - 24 = -52. Let z(f) = f**3 + 9*f**2 + 5*f + 4. What is the units digit of z(d)? 7 Let a(h) = 6*h**2 + h + 1. Let d(u) = 12*u**2 + 2*u + 3. Let q(z) = -5*a(z) + 3*d(z). Let f(t) be the first derivative of q(t). What is the units digit of f(1)? 3 Let w = 163 + -413. Let b be (w/15)/(2/3). Let v = 26 + b. What is the units digit of v? 1 Let u = 1016 - 556. What is the tens digit of u? 6 Let y = 727 + -129. What is the hundreds digit of y? 5 Suppose 6*q - 1510 = 2006. What is the tens digit of q? 8 Let o = 1298 - 205. What is the tens digit of o? 9 Let h(g) be the second derivative of -g**5/20 - 29*g**4/12 - 31*g**3/3 - 37*g**2/2 - 21*g. What is the tens digit of h(-27)? 7 What is the units digit of (-1)/(6/(-583 - 5))? 8 Suppose 0 = 2*x - 38 - 698. Suppose -t = -3*t + x. What is the units digit of (t/(-12))/((-6)/9)? 3 Let t(r) = 587*r - 233. What is the tens digit of t(4)? 1 Let g = 3132 + -4538. What is the units digit of g/(-8) - ((-76)/(-16) + -4)? 5 Suppose 0 = -11*q + 9*q + 1750. What is the units digit of q? 5 Suppose 2*o + 296 = 4*u, 0 = 3*o - 2*o. Suppose 5*b - 3*k - u = 0, 3*b - 54 = k - 4*k. What is the tens digit of b? 1 Suppose -2*z = 5*k - 27495, 2*k - 10979 = -z + 4*z. Suppose -11*w - k = -34*w. What is the units digit of w? 9 Let y be (44/(-7))/(2/(-7)). Let r(c) = 8*c - 27. What is the hundreds digit of r(y)? 1 Let f(i) = i**3 + 8*i**2 + 9*i + 14. Let v be f(-6). Suppose v*x = 29*x + 171. What is the units digit of x? 7 Let h(v) = 2*v**2 + 25*v + 138. What is the units digit of h(-20)? 8 Let c(g) = 2*g**3 - 2*g**2 - 3*g - 12. Let j be c(5). Let p = j + -10. What is the units digit of p? 3 Let w(i) = -64*i - 4. Let t be w(-1). Suppose -t = -2*b + 108. What is the units digit of b? 4 Suppose 13*v - 45 = 10*v. Suppose -4*p = -5*p + 3*i + 30, 0 = 5*i - v. What is the units digit of p? 9 Let b = 72 + 261. What is the units digit of b? 3 Let a = -980 - -1521. What is the hundreds digit of a? 5 Let a(v) = -35*v**2 - 2*v. Let l be a(-3). Let x = l + 479. What is the tens digit of x? 7 Let q(x) = 109*x - 24. What is the tens digit of q(5)? 2 Let i = 1268 + -762. What is the units digit of i? 6 Suppose 0 = 17*r - 5*r + 2412. Let q = r - -334. What is the units digit of q? 3 Suppose -z + o = -19, -5*z + 3*o + 95 = -0*o. Suppose -2*g + 0*g = -4*f - 30, 0 = -5*g - 5*f. What is the tens digit of (-5)/g*(-1 - z)? 2 Suppose 0 = -q + 12 + 926. Suppose q = 9*x - 376. What is the units digit of x? 6 Let z = -482 + 326. Let j = -6 - z. What is the units digit of j? 0 Let k = -339 - -839. What is the units digit of k? 0 Let b(u) = 2019*u**3 - u**2 - 7*u + 9. What is the tens digit of b(1)? 2 Let q(t) = -t**3 - 11*t**2 + 24*t + 42. What is the units digit of q(-15)? 2 Let h(k) = 1155*k - 66. What is the tens digit of h(1)? 8 Suppose 3*z + 5*a = 1891, 0*a = -z - 2*a + 632. What is the hundreds digit of z? 6 Let w be (-187)/(-3) - (-6)/9. Suppose 2*u = -u + w. Let p = u - -8. What is the tens digit of p? 2 Let t(l) = 2*l**2 - 6*l + 8. Let v(k) = -k**2 + 5*k - 7. Let c(g) = 3*t(g) + 4*v(g). What is the tens digit of c(5)? 5 Suppose 288 = -0*o + 4*o. Let t = -66 + o. What is the units digit of t? 6 Let s(o) = -o**3 - 18*o**2 - 14*o - 20. What is the tens digit of s(-19)? 0 Let y be 3*(-2)/(-3) - 3. Let g = 28 + y. Let k = g - 18. What is the units digit of k? 9 Let c = -43 - -94. What is the tens digit of (-1 - 0)/((-1)/c)? 5 Let w(k) = k**3 + 4*k**2 + 2*k + 1. Let m be w(-3). Suppose 5*p = m*p + 5*u + 181, -5*p + 2*u = -813. What is the hundreds digit of p? 1 Let u be ((-33)/9 + 4)*6. Suppose -4*v - u*w - 52 = -838, 0 = -v + 3*w + 193. What is the tens digit of v? 9 Let i be 11 - (2 - (-3 - -2)). Suppose x - i = -x. Suppose m = 6*m - 4*n - 226, -x*n = 3*m - 110. What is the units digit of m? 2 Suppose 3*q - 2*q + 3*p + 74 = 0, 0 = 3*q - 2*p + 189. Let i = q + 173. Suppose -3*s = -6*s + i. What is the units digit of s? 6 Let l(d) = 21*d - 5. Let a(i) = 10*i - 3. Suppose 2*z + 0*z = -10. Let h(t) = z*a(t) + 2*l(t). What is the units digit of h(-5)? 5 Let m(t) = 4*t**3 + 13*t**2 - 58*t + 6. What is the tens digit of m(5)? 4 Let b be (-20)/(-8)*(-8)/(-10). Suppose 3*f - 44 = -b. Let o(m) = m**3 - 14*m**2 + 3*m - 4. What is the tens digit of o(f)? 3 Let u = -8 - -12. Suppose 2*m + 3*v - 273 = 0, -2*m = -3*v + u*v - 271. What is the units digit of 0/(-1) - m/(-5)? 7 Suppose -5*f + 4*s = 35, -2*f = 4*s - 5 - 9. Let d be ((-6)/f - 2)/3. Suppose d = w - 2 - 11. What is the units digit of w? 3 Suppose 0*u - 2*u + 2*h + 14 = 0, 3*u = 5*h + 23. Let s(d) = 8*d + 5. Let k be s(4). Let n = k - u. What is the tens digit of n? 3 Suppose -3*y + 1965 = 5*j, j - 3*j + 1314 = 2*y. What is the tens digit of y? 6 What is the units digit of -2 + (-4389)/(-9) + 12/(-18)? 5 Let v(j) = -1. Let u(m) = -m**2 - 12*m + 12. Let k(p) = u(p) + 3*v(p). Let g be k(-12). What is the units digit of ((-3)/(g/48))/(-1)? 6 Suppose 0 = z - 6 + 1. Suppose -z*v + 5 = 0, -3*v - 154 = -2*j + v. What is the units digit of j? 9 Suppose 7*n - 5*p = 4*n - 27, -3*n = 3*p + 3. Let d be (8/n)/((-6)/27). Suppose -d + 33 = 3*z. What is the units digit of z? 8 Suppose 6361 = 2*r + 2*o - 869, 2*o - 3614 = -r. What is the hundreds digit of r? 6 Let n be -32*(-3 + (-18)/(-8)). Let d be (-6)/(-15) - n/(-15). S
{ "pile_set_name": "DM Mathematics" }
564972? -2912997*y + 13 What is the i'th term of -11456, -11086, -10476, -9626, -8536? 120*i**2 + 10*i - 11586 What is the f'th term of 80206, 160714, 241836, 323878, 407146, 491946, 578584? 51*f**3 + f**2 + 80148*f + 6 What is the n'th term of 961584, 961579, 961574, 961569, 961564, 961559? -5*n + 961589 What is the u'th term of -74772, -297266, -668096, -1187268, -1854788? -u**3 - 74162*u**2 - u - 608 What is the t'th term of -97, 48, 195, 344, 495, 648? t**2 + 142*t - 240 What is the b'th term of 106402, 212725, 319048? 106323*b + 79 What is the j'th term of 98717126, 98717120, 98717112, 98717102? -j**2 - 3*j + 98717130 What is the d'th term of -1857, -1545, -839, 261, 1755, 3643, 5925? 197*d**2 - 279*d - 1775 What is the x'th term of -14213, -14641, -15069? -428*x - 13785 What is the z'th term of 2263, 4604, 6945, 9280, 11603? -z**3 + 6*z**2 + 2330*z - 72 What is the t'th term of -7102, -7626, -8494, -9700, -11238, -13102, -15286, -17784? t**3 - 178*t**2 + 3*t - 6928 What is the l'th term of -590, -1077, -1822, -2825, -4086? -129*l**2 - 100*l - 361 What is the x'th term of -26727, -77878, -153451, -253446, -377863? -12211*x**2 - 14518*x + 2 What is the n'th term of 2992847, 5985663, 8978457, 11971229? -11*n**2 + 2992849*n + 9 What is the x'th term of -1970, -5629, -10972, -17999? -842*x**2 - 1133*x + 5 What is the m'th term of 6473, 25828, 58087, 103250? 6452*m**2 - m + 22 What is the j'th term of -164475137, -164475139, -164475141? -2*j - 164475135 What is the p'th term of -19454, -39066, -58678? -19612*p + 158 What is the s'th term of 1274293, 1274333, 1274435, 1274629, 1274945, 1275413? 5*s**3 + s**2 + 2*s + 1274285 What is the j'th term of -4276608, -4276610, -4276612, -4276614? -2*j - 4276606 What is the r'th term of -53027, -105856, -158489, -210920, -263143, -315152, -366941, -418504? r**3 + 92*r**2 - 53112*r - 8 What is the j'th term of 2203, 2187, 2161, 2125, 2079, 2023? -5*j**2 - j + 2209 What is the a'th term of -3968851, -7937713, -11906583, -15875467, -19844371, -23813301? -a**3 + 2*a**2 - 3968861*a + 9 What is the s'th term of 15628, 62353, 140216, 249211, 389332, 560573, 762928? -s**3 + 15575*s**2 + 7*s + 47 What is the l'th term of -3780347, -7560737, -11341127, -15121517, -18901907, -22682297? -3780390*l + 43 What is the o'th term of 110, 366, 826, 1472, 2286, 3250? -3*o**3 + 120*o**2 - 83*o + 76 What is the y'th term of -69404, -138780, -208160, -277544? -2*y**2 - 69370*y - 32 What is the r'th term of -1602684, -1602681, -1602654, -1602597, -1602504, -1602369, -1602186, -1601949? r**3 + 6*r**2 - 22*r - 1602669 What is the w'th term of 2914925, 2914932, 2914943, 2914958? 2*w**2 + w + 2914922 What is the n'th term of 1053, -2856, -6765, -10674? -3909*n + 4962 What is the c'th term of -283581, -283816, -284049, -284280, -284509? c**2 - 238*c - 283344 What is the i'th term of -8204, -39486, -91616, -164588, -258396, -373034, -508496, -664776? i**3 - 10430*i**2 + i + 2224 What is the m'th term of -95936, -192000, -288064, -384128, -480192, -576256? -96064*m + 128 What is the c'th term of -11176, -83962, -281516, -666220, -1300456, -2246606? -10397*c**3 - 2*c**2 - c - 776 What is the t'th term of 153906, 307787, 461654, 615513, 769370, 923231, 1077102? t**3 - 13*t**2 + 153913*t + 5 What is the b'th term of -121377, -121352, -121327? 25*b - 121402 What is the h'th term of 21834255, 21834237, 21834219, 21834201, 21834183? -18*h + 21834273 What is the b'th term of 565401, 1131005, 1696609, 2262213? 565604*b - 203 What is the k'th term of -1905, -1733, -1413, -921, -233, 675, 1827? 4*k**3 + 50*k**2 - 6*k - 1953 What is the k'th term of 15001, 14987, 15019, 15121, 15317? 4*k**3 - k**2 - 39*k + 15037 What is the i'th term of 6591918, 26367665, 59327244, 105470655? 6591916*i**2 - i + 3 What is the f'th term of -97692, -97858, -98154, -98586, -99160, -99882, -100758, -101794? -f**3 - 59*f**2 + 18*f - 97650 What is the m'th term of -2360183, -4720435, -7080697, -9440975, -11801275, -14161603, -16521965? -m**3 + m**2 - 2360248*m + 65 What is the d'th term of 2242593, 4485185, 6727773, 8970357? -2*d**2 + 2242598*d - 3 What is the d'th term of 3199187, 6398368, 9597549, 12796730? 3199181*d + 6 What is the g'th term of 35937, 31961, 25337, 16065, 4145? -1324*g**2 - 4*g + 37265 What is the f'th term of 24453, 51376, 78299, 105222, 132145, 159068? 26923*f - 2470 What is the z'th term of -41398, -91318, -141238, -191158, -241078? -49920*z + 8522 What is the c'th term of -388953, -388961, -388971, -388983, -388997? -c**2 - 5*c - 388947 What is the s'th term of 337678, 337741, 337848, 338005, 338218, 338493, 338836? s**3 + 16*s**2 + 8*s + 337653 What is the v'th term of -15923, -19721, -23519, -27317? -3798*v - 12125 What is the s'th term of 2197, 8859, 20025, 35695, 55869? 2252*s**2 - 94*s + 39 What is the b'th term of -12146138, -12146120, -12146104, -12146090, -12146078, -12146068? -b**2 + 21*b - 12146158 What is the l'th term of -30733407, -30733405, -30733403? 2*l - 30733409 What is the y'th term of -27554785, -27554784, -27554783? y - 27554786 What is the l'th term of -14787, -122612, -415283, -985224, -1924859, -3326612? -15404*l**3 + l**2 + 616 What is the p'th term of -109827, -439354, -988557, -1757430, -2745967, -3954162, -5382009, -7029502? p**3 - 109844*p**2 - 2*p + 18 What is the c'th term of 157, 416, 399, -266, -1951, -5028, -9869, -16846? -62*c**3 + 234*c**2 - 9*c - 6 What is the f'th term of 104726, 101834, 98940, 96044, 93146? -f**2 - 2889*f + 107616 What is the z'th term of 140911845, 140911852, 140911869, 140911902, 140911957, 140912040? z**3 - z**2 + 3*z + 140911842 What is the q'th term of 74730, 149436, 224118, 298764, 373362, 447900? -2*q**3 + 74720*q + 12 What is the f'th term of 2803788, 5607585, 8411382, 11215179, 14018976, 16822773? 2803797*f - 9 What is the m'th term of -74081, -148412, -222743, -297074, -371405? -74331*m + 250 What is the i'th term of 569790, 1139589, 1709388? 569799*i - 9 What is the h'th term of -6856, -50352, -168286, -397876, -776340? -6203*h**3 - h**2 - 72*h - 580 What is the s'th term of -1051508, -2103147, -3154774, -4206383, -5257968? s**3 - 1051646*s + 137 What is the v'th term of -21368962, -21368962, -21368956, -21368938, -21368902? v**3 - 3*v**2 + 2*v - 21368962 What is the p'th term of 34076, 67842, 101608, 135374, 169140? 33766*p + 310 What is the g'th term of -1685235, -6740933, -15167095, -26963721, -42130811, -60668365? -1685232*g**2 - 2*g - 1 What is the q'th term of 496, 927, 1602, 2527, 3708, 5151, 6862? q**3 + 116*q**2 + 76*q + 303 What is the n'th term of -14711384, -29422773, -44134160, -58845545, -73556928, -88268309? n**2 - 14711392*n + 7 What is the n'th term of -429998, -1720045, -3870142, -6880289, -10750486, -15480733? -430025*n**2 + 28*n - 1 What is the a'th term of -899659, -899668, -899677, -899686? -9*a - 899650 What is the k'th term of -27528, -109937, -247284, -439575, -686816, -989013, -1346172? -k**3 - 27463*k**2 - 13*k - 51 What is the a'th term of -2058118, -4116235, -6174352? -2058117*a - 1 What is the z'th term of -8842, -10157, -12352, -15433, -19406, -24277, -30052? -z**3 - 434*z**2 - 6*z - 8401 What is the n'th term of 8715, 17310, 25941, 34626, 43383, 52230, 61185, 70266? 3*n**3 + 8574*n + 138 What is the p'th term of 3314071, 6628143, 9942215, 13256287, 16570359? 3314072*p - 1 What is the v'th term of 9123, 19438, 29761, 40092? 4*v**2 + 10303*v - 1184 What is the j'th term of -2477, -4957, -7441, -9929? -2*j**2 - 2474*j - 1 What is the p'th term of 387, 228, -221, -1104, -2565, -4748? -24*p**3 - p**2 + 12*p + 400 What is the f'th term of 138261, 138236, 138205, 138168, 138125, 138076, 138021? -3*f**2 - 16*f + 138280 What is the c'th term of 24239, 98496, 222259, 395528, 618303, 890584, 1212371? 24753*c**2 - 2*c - 512 What is the n'th term of -353451, -706898, -1060345, -1413792, -1767239, -2120686? -353447*n - 4 What is the m'th term of 18529, 74033, 166549, 296083, 462641, 666229, 906853? m**3 + 18500*m**2 - 3*m + 31 What is the s'th term of -14544106, -29088208, -43632312, -58176418, -72720526, -87264636? -s**2 - 14544099*s - 6 What is the a'th term of -7210, -11446, -15710, -20002, -24322, -28670, -33046? -14*a**2 - 4194*a - 3002 What is the g't
{ "pile_set_name": "DM Mathematics" }
-5, -1, 0, 1 Let b(n) be the second derivative of -5/16*n**4 - 8 + 2/3*n**3 - 7*n - 1/8*n**2. Factor b(q). -(q - 1)*(15*q - 1)/4 Let i(k) be the second derivative of k**5/70 - k**4/3 + 5*k**3/3 + 50*k**2/7 - 2381*k. Factor i(z). 2*(z - 10)*(z - 5)*(z + 1)/7 Let g = 260337/2 + -130168. Factor 0 - 13/4*n**2 + 5/2*n + g*n**3 + 1/4*n**4. n*(n - 2)*(n - 1)*(n + 5)/4 Let b(t) be the third derivative of 1352*t**7/105 - 1742*t**6/15 + 6049*t**5/15 - 670*t**4 + 600*t**3 + 6280*t**2. Factor b(h). 4*(h - 2)**2*(26*h - 15)**2 Let y(n) be the first derivative of 5/3*n**3 + 10*n**2 + 20*n + 88. Find u, given that y(u) = 0. -2 Let l be (1*(-4)/(-5))/(47/(-1410)). Let o = l + 27. Suppose h**2 - 5*h**3 + h**3 + 0*h**3 + 3*h**o = 0. Calculate h. 0, 1 Let s(j) = -5*j**4 - 40*j**3 - 120*j**2 + 40*j - 25. Let v(x) = x**2 - 10*x - 1. Let l(u) = s(u) + 15*v(u). Factor l(p). -5*(p + 1)**2*(p + 2)*(p + 4) Suppose 12*a = 7 + 17. Find x such that 13*x**5 - 255*x**3 + 18*x**2 - 3 + 78*x**4 + 174*x**a + 8*x**5 + 3 - 36*x = 0. -6, 0, 2/7, 1 Suppose -22 = 2*i + 4*p - 0, -p - 10 = -i. Let u = 7 - 7. Find b such that b**4 - b**2 + u + 0*b**i + 1/2*b**5 - 1/2*b = 0. -1, 0, 1 Suppose 4*a - 5*b - 5 = 6, 10 = a + 6*b. Let w(k) be the first derivative of -1/6*k**6 + 0*k + 0*k**2 - 1/3*k**3 + 1/4*k**a + 1/5*k**5 - 11. Solve w(x) = 0. -1, 0, 1 Let f be 25 + 1*5*(-6)/10. Let x(d) be the first derivative of -4/3*d**3 + 0*d - 1/2*d**4 - d**2 - f. Factor x(c). -2*c*(c + 1)**2 Suppose 324*d + 302*d - 3459 = -116*d - 411*d. Factor 0 + 1/4*k**4 - 17/4*k + 35/4*k**2 - 19/4*k**d. k*(k - 17)*(k - 1)**2/4 Let h(i) = 4*i**3 + 15*i**2 + 8*i + 1. Let c(n) = 3*n**3 + 16*n**2 + 8*n + 1. Let u = 198 + -195. Let g(j) = u*h(j) - 2*c(j). Suppose g(s) = 0. What is s? -1, -1/6 Let n(x) = -17*x**2 - 6*x + 16. Let i(h) = 3*h**2 + h - 3. Let u(r) = 11*i(r) + 2*n(r). Let y(k) = 20*k - 32. Let v(f) = -4*u(f) + y(f). Factor v(p). 4*(p - 1)*(p + 7) Let j(x) be the third derivative of 2*x**7/105 - 133*x**6/30 + 263*x**5/15 - 131*x**4/6 - 2*x**2 - 2. Factor j(g). 4*g*(g - 131)*(g - 1)**2 Let u be (-80)/(-84) + 6/(-21). Let d be 34/(-2652)*-65 - (2 + -1)/6. Solve 1/3*x**5 - 7/3*x + u - d*x**3 + 8/3*x**2 - 2/3*x**4 = 0 for x. -2, 1 Suppose -96*o**4 - 277*o**4 + o - 108*o**2 + 147*o**5 + 11*o + 327*o**3 - 5*o**4 = 0. Calculate o. 0, 2/7, 1 Let g be (125 - 120) + (0 + 1)*-3. Factor 10*j + g*j**2 + 968 - 8*j + 20*j + 47*j + 19*j. 2*(j + 22)**2 Let r(i) be the second derivative of -i**4/12 - 4*i**3/3 + 10*i**2 - 21*i. Let r(y) = 0. What is y? -10, 2 Let f(s) be the second derivative of s**6/10 - 21*s**5/4 + 129*s**4/4 - 157*s**3/2 + 93*s**2 - 1148*s. Solve f(b) = 0. 1, 2, 31 Let i be 1/2 + 52/(-8). Let y be (-3*(-1)/i)/(2/(-20)). Factor -6*p**3 - p**5 + y*p**3 - p**4 - p**4. -p**3*(p + 1)**2 Let a be (282/9*6)/1. Let d be ((-2)/(216/a) - -1)*-6. Determine o so that -10/3*o**2 - d*o + 8/9*o**4 + 10/9*o**3 - 8/9 = 0. -2, -1, -1/4, 2 Let a = 262/151 + -2278/1661. Let w(m) be the first derivative of a*m**2 + 2/11*m**3 - 12 - 8/11*m. Solve w(s) = 0 for s. -2, 2/3 Let p(m) be the third derivative of -8/3*m**3 - 2*m**2 - 1/3*m**5 + 0*m + 16 - 2*m**4. Suppose p(f) = 0. Calculate f. -2, -2/5 Let r(f) = f**2 + 112*f + 432. Let y be r(-108). Let u(c) be the third derivative of 0*c**3 + 1 - 5/3*c**4 + 15*c**2 + y*c - 1/12*c**5. Solve u(g) = 0 for g. -8, 0 Let l(r) be the third derivative of r**8/1344 + r**7/70 + 7*r**6/96 + r**5/10 + 2*r**2 + 5*r + 88. Factor l(w). w**2*(w + 1)*(w + 3)*(w + 8)/4 Factor -8 - 341575*r**2 + 3*r**4 - 6*r**3 + 341539*r**2 - 42*r - 7. 3*(r - 5)*(r + 1)**3 Let t(x) be the second derivative of -10/9*x**3 + 0 - 69*x + 7/2*x**2 - 1/36*x**4. Factor t(y). -(y - 1)*(y + 21)/3 Let l(d) be the first derivative of -d**4/8 - 89*d**3/6 - 1739*d**2/4 + 11045*d/2 - 8986. Find x such that l(x) = 0. -47, 5 Let n = 1136845 - 3410527/3. Determine f so that 0 - 2/3*f**3 + n*f**2 - 2*f = 0. 0, 1, 3 Let m(q) be the first derivative of -5*q**6/6 - 31*q**5 - 1275*q**4/4 - 375*q**3 + 1314. Find d such that m(d) = 0. -15, -1, 0 Let h(m) = -44*m**2 + 64*m - 29. Suppose 66 - 55 = -z. Let v(n) = -15*n**2 + 21*n - 10. Let k(o) = z*v(o) + 4*h(o). Factor k(r). -(r - 2)*(11*r - 3) Factor -11*h**3 - 89735*h**2 + 89852*h**2 + 1035 - 1149*h + 8*h**3. -3*(h - 23)*(h - 15)*(h - 1) Suppose -71*h = -48*h + 69. Let f be h/(-4)*(936/(-27))/(-13). Solve -2/3*o**f + 0*o + 0 + 8/3*o**3 = 0 for o. 0, 1/4 Let c(b) be the third derivative of 169*b**5/540 + 143*b**4/9 + 968*b**3/3 + 770*b**2. Find h such that c(h) = 0. -132/13 Let c(v) be the third derivative of -v**6/24 + 11*v**5/3 + 40*v**4 - 4*v**2 + 317*v. Factor c(k). -5*k*(k - 48)*(k + 4) Let r be -1*6*(-3)/(-12)*-6. Let l be r/6*(-6)/(-3). Factor 5*v + l*v + 75*v**2 - 77*v**2. -2*v*(v - 4) Let o(s) be the second derivative of s**7/42 + 3*s**6/5 - 133*s**5/5 + 381*s**4/2 + 945*s**3/2 + 151*s + 10. Factor o(x). x*(x - 9)**2*(x + 1)*(x + 35) Let l(c) = -3*c**2 - 149*c - 104. Let t(r) = -3*r**2 - 149*r - 105. Let f(v) = 7*l(v) - 6*t(v). Find b, given that f(b) = 0. -49, -2/3 Let w = 15795 - 15793. Let b(y) be the second derivative of -44/9*y**4 + 8/15*y**5 - 2*y**w - 47/9*y**3 + 0 + 22*y. Factor b(l). 2*(l - 6)*(4*l + 1)**2/3 Factor -120*d**4 + 39*d**3 - 55*d**4 - 237*d**3 + 8*d**3 - 15*d**2. -5*d**2*(d + 1)*(35*d + 3) Let n = 449 + -439. Suppose 15 = 3*b, 14*g + 4*b = n*g + 20. Suppose 0 - 4/5*v**2 + g*v + 2/5*v**3 = 0. Calculate v. 0, 2 Let q be ((-5760)/(-156))/(-6) - 4/(-26). Let h(u) = u**3 + 6*u**2 + 5*u + 30. Let o be h(q). Factor o + 9/5*n - 6/5*n**2 - 3/5*n**3. -3*n*(n - 1)*(n + 3)/5 Let u be (-8)/38*56278/(-5924). Factor 1/9*y**u - 4/9 - 1/3*y. (y - 4)*(y + 1)/9 Determine q so that -7004*q + 2*q**2 - 3*q**2 - 3588 + 5*q**2 - 6137 + 2717 = 0. -1, 1752 Let w = -3911 - -3911. Let a(b) be the second derivative of -1/18*b**3 + 0 + 3*b + w*b**2 - 1/36*b**4. Determine l, given that a(l) = 0. -1, 0 Factor -2/15*u**2 + 26/5*u - 56/3. -2*(u - 35)*(u - 4)/15 Let y(u) = 6*u - 75. Let b(p) = -3*p + 37. Let z(d) = -7*b(d) - 3*y(d). Let r be z(12). Factor 3*x - 2*x - 3*x**2 + r*x. -3*x*(x - 1) Factor 3/5*q**2 + 1131/5 + 1134/5*q. 3*(q + 1)*(q + 377)/5 Let n(p) = -7*p - 11. Let u be n(-2). Suppose o + u*o + x - 35 = 0, -3*o = x - 26. Factor o*w + 0*w**3 - 3*w + 13*w**3 - 13*w**2 - 4*w + 10*w**4. w*(w + 2)*(2*w - 1)*(5*w - 1) Factor -271*b**3 - 150 + 155*b + 112*b**3 - 50*b**2 + 164*b**3. 5*(b - 5)*(b - 3)*(b - 2) Let h(v) be the first derivative of v**4/48 + 7*v**3/12 - 7*v + 85. Let x(u) be the first derivative of h(u). Suppose x(w) = 0. What is w? -14, 0 Let f be (-1)/16*(3 + (9 - 14)). Let w(g) be the second derivative of 27/80*g**5 - 9/8*g**3 - 1/10*g**6 + 3/4*g**2 - 9*g + f*g**4 + 0. Solve w(j) = 0. -1, 1/4, 1, 2 Let z(t) be the third derivative of t**6/60 - 16*t**5/15 + 221*t**4/12 + 578*t**3/3 - 10*t**2 - 3*t + 20. Factor z(n). 2*(n - 17)**2*(n + 2) Let r(j) be the second derivative of j**4/66 + 229*j**3/33 + 110*j. Suppose r(n) = 0. Calculate n. -229, 0 Let b(t) be the second derivative of t**7/14 - 147*t**6/10 + 151*t. Factor b(s). 3*s**4*(s - 147) Let k(v) be the second derivative of v**4/30 + 259*v**3/15 + 258*v**2/5 - 1176*v. Factor k(q). 2*(q + 1)*(q + 258)/5 Factor 28 + 2/7*b**3 + 94/7*b - 100/7*b**2. 2*(b - 49)*(b - 2)*(b + 1)/7 Let n(y) be the third derivative of -5 + 12*y**2 - 3/50*y**5 + 0*y + 16/5*y**3 + 1/200*y**6 + 0*y**4. Factor n(g). 3*(g - 4)**2*(g + 2)/5 Let o(g) be the second derivative of -g**5/130 + 133*g**4/26 - 398*g**3/39 - 64*g + 5. Factor o(c). -2*c*(c - 398)*(c - 1)/13 Suppose v + 14 = 3*h - 338, -4*h = -v - 471. Let i = h - 116. Factor 8 - 3*t**i - 46*t + 55*t - 2. -3*(t - 2)*(t + 1)**2 Let g be (-14)/(-49) - (-66)/14. Suppose g*r - 92 = r. Factor 23*q**5 - 48*q**5 + 2*q**3 + r*q**5. -2*q**3*(q - 1)*(q + 1) Let m = 41 - 11. Suppose 18 = 16*l - m. Factor 0*s**2 - 4/13 - 6/13*s + 2/13*s**l. 2*(s - 2)*(s + 1)**2/13 Factor -440*k**2 - 519*k**2 + 961*k**2 + 174*k. 2*k*(k + 87) Factor 16/7*j + 16/7 - 12/7*j**2 + 4/7*j**4 - 8/7*j**3. 4*(j - 2)**2*(j + 1)**2/7 Let l(f) be the second derivative of f**6/120 + 7*f**5/30 + 13*f**4/24 + 64*f**2 + 153*f. Let j(u) be the first derivative of l(u). Factor j(g). g*(g + 1)*(g + 13) Let c(y) be the first derivative of 2*y - 141 + 89
{ "pile_set_name": "DM Mathematics" }
21, 12276, 16331, 20386, 24441? 4055*z + 111 What is the t'th term of -104469, -208881, -313293, -417705, -522117? -104412*t - 57 What is the j'th term of -237071, -237070, -237075, -237092, -237127, -237186, -237275? -j**3 + 3*j**2 - j - 237072 What is the w'th term of -91808, -183619, -275430, -367241, -459052? -91811*w + 3 What is the v'th term of 7982, 7962, 7936, 7904, 7866, 7822? -3*v**2 - 11*v + 7996 What is the a'th term of -10232, -10505, -10778, -11051, -11324? -273*a - 9959 What is the y'th term of 34, 9, -62, -197, -414, -731, -1166? -3*y**3 - 5*y**2 + 11*y + 31 What is the y'th term of -117280, -117282, -117284, -117286, -117288? -2*y - 117278 What is the j'th term of -1150, -7873, -26118, -61645, -120214, -207585, -329518? -960*j**3 - j**2 - 189 What is the m'th term of -33, -89, -241, -537, -1025? -8*m**3 - 25 What is the x'th term of 36813, 73635, 110457, 147279? 36822*x - 9 What is the z'th term of -1488, -1485, -1482, -1479? 3*z - 1491 What is the q'th term of -4069, -4284, -4499, -4714, -4929? -215*q - 3854 What is the d'th term of -3, -33, -115, -249, -435? -26*d**2 + 48*d - 25 What is the j'th term of -485, -906, -1251, -1514, -1689, -1770, -1751, -1626? j**3 + 32*j**2 - 524*j + 6 What is the a'th term of -4905, -9846, -14787? -4941*a + 36 What is the l'th term of -643, -2634, -5975, -10666, -16707, -24098? -675*l**2 + 34*l - 2 What is the v'th term of -67, -158, -313, -532, -815? -32*v**2 + 5*v - 40 What is the h'th term of -405, -3264, -10983, -25980, -50673, -87480? -403*h**3 - 12*h**2 - 2*h + 12 What is the i'th term of 364937, 729878, 1094819, 1459760, 1824701? 364941*i - 4 What is the r'th term of -744, -2888, -6424, -11352, -17672, -25384, -34488? -696*r**2 - 56*r + 8 What is the q'th term of -2472, -4943, -7406, -9855, -12284, -14687, -17058, -19391? q**3 - 2*q**2 - 2472*q + 1 What is the i'th term of 4221, 4096, 3959, 3810, 3649? -6*i**2 - 107*i + 4334 What is the r'th term of 263, 919, 2009, 3533, 5491, 7883? 217*r**2 + 5*r + 41 What is the z'th term of 119, 265, 635, 1337, 2479? 18*z**3 + 4*z**2 + 8*z + 89 What is the p'th term of -113, 167, 447, 727, 1007? 280*p - 393 What is the j'th term of 24221, 193718, 653781, 1549694, 3026741, 5230206, 8305373? 24214*j**3 - j**2 + 2*j + 6 What is the s'th term of -875402, -875401, -875400, -875399, -875398? s - 875403 What is the a'th term of 16666, 16690, 16774, 16948, 17242, 17686? 5*a**3 - 11*a + 16672 What is the y'th term of -74792, -149472, -224152? -74680*y - 112 What is the y'th term of -510, -1053, -1582, -2091, -2574, -3025, -3438? y**3 + y**2 - 553*y + 41 What is the x'th term of -1072, -2272, -3472, -4672, -5872? -1200*x + 128 What is the h'th term of 36, 46, 42, 30, 16, 6, 6, 22? h**3 - 13*h**2 + 42*h + 6 What is the t'th term of 6873, 7115, 7357? 242*t + 6631 What is the q'th term of -52669, -52677, -52691, -52711, -52737, -52769, -52807? -3*q**2 + q - 52667 What is the c'th term of -610, -2411, -5406, -9595, -14978, -21555? -597*c**2 - 10*c - 3 What is the h'th term of -36203, -72416, -108629, -144842, -181055? -36213*h + 10 What is the m'th term of -73, -28, 63, 212, 431? 2*m**3 + 11*m**2 - 2*m - 84 What is the w'th term of 505, 3882, 13037, 30856, 60225, 104030, 165157? 481*w**3 + 3*w**2 + w + 20 What is the f'th term of -28316, -56867, -85428, -114005, -142604, -171231? -f**3 + f**2 - 28547*f + 231 What is the o'th term of -43, -131, -305, -583, -983, -1523, -2221, -3095? -3*o**3 - 25*o**2 + 8*o - 23 What is the d'th term of 6025, 6035, 6045, 6055, 6065? 10*d + 6015 What is the f'th term of 3418091, 3418093, 3418095, 3418097, 3418099, 3418101? 2*f + 3418089 What is the v'th term of 2253, 2234, 2225, 2232, 2261, 2318? v**3 - v**2 - 23*v + 2276 What is the p'th term of -34, 77, 374, 947, 1886, 3281? 15*p**3 + 3*p**2 - 3*p - 49 What is the w'th term of -1549, -12430, -41993, -99580, -194533, -336194? -1557*w**3 + w**2 + 15*w - 8 What is the v'th term of 425, 514, 663, 872, 1141, 1470? 30*v**2 - v + 396 What is the c'th term of 536, 939, 1340, 1739? -c**2 + 406*c + 131 What is the l'th term of 95136, 190273, 285410, 380547? 95137*l - 1 What is the o'th term of -877, -3491, -7845, -13939, -21773? -870*o**2 - 4*o - 3 What is the z'th term of 4029, 16561, 37447, 66687, 104281? 4177*z**2 + z - 149 What is the c'th term of -492601, -985202, -1477803, -1970404? -492601*c What is the v'th term of -81, -91, -129, -201, -313, -471, -681, -949? -v**3 - 8*v**2 + 21*v - 93 What is the k'th term of 6787, 13597, 20439, 27325, 34267? 2*k**3 + 4*k**2 + 6784*k - 3 What is the f'th term of 43582, 87347, 131114, 174883, 218654, 262427? f**2 + 43762*f - 181 What is the t'th term of -719501, -719500, -719499, -719498, -719497, -719496? t - 719502 What is the x'th term of 2198, 4424, 6650, 8876, 11102? 2226*x - 28 What is the t'th term of -62, -219, -376, -533? -157*t + 95 What is the c'th term of 11788, 11798, 11816, 11842, 11876, 11918, 11968? 4*c**2 - 2*c + 11786 What is the c'th term of 3298, 6615, 9936, 13261, 16590, 19923, 23260? 2*c**2 + 3311*c - 15 What is the b'th term of -473457, -946923, -1420389, -1893855? -473466*b + 9 What is the k'th term of -33158, -66344, -99532, -132722, -165914, -199108, -232304? -k**2 - 33183*k + 26 What is the d'th term of 25108, 50222, 75336? 25114*d - 6 What is the n'th term of -22, -57, -88, -115? 2*n**2 - 41*n + 17 What is the q'th term of -5886, -11674, -17462, -23250? -5788*q - 98 What is the s'th term of 41238, 82475, 123712, 164949, 206186? 41237*s + 1 What is the x'th term of 1714, 897, 80, -737? -817*x + 2531 What is the m'th term of -2, -2, 178, 628, 1438, 2698, 4498, 6928? 15*m**3 - 105*m + 88 What is the m'th term of -213, -119, -17, 81, 163, 217, 231, 193? -2*m**3 + 16*m**2 + 60*m - 287 What is the z'th term of 6235, 12398, 18557, 24712, 30863, 37010, 43153? -2*z**2 + 6169*z + 68 What is the t'th term of 1416, 2915, 4424, 5949, 7496? t**3 - t**2 + 1495*t - 79 What is the y'th term of 40, 313, 1040, 2449, 4768? 38*y**3 - y**2 + 10*y - 7 What is the w'th term of -9348, -18714, -28092, -37488, -46908, -56358? -w**3 - 9359*w + 12 What is the l'th term of 6039, 12060, 18079, 24096, 30111, 36124? -l**2 + 6024*l + 16 What is the t'th term of -95, 219, 733, 1453, 2385, 3535, 4909? t**3 + 94*t**2 + 25*t - 215 What is the o'th term of -21, -63, -151, -297, -513, -811, -1203, -1701? -2*o**3 - 11*o**2 + 5*o - 13 What is the m'th term of 1525, 1559, 1603, 1645, 1673? -2*m**3 + 17*m**2 - 3*m + 1513 What is the x'th term of -35689, -71380, -107071, -142762, -178453? -35691*x + 2 What is the n'th term of 81822, 81821, 81820, 81819, 81818? -n + 81823 What is the n'th term of 665, 1312, 1957, 2600, 3241, 3880? -n**2 + 650*n + 16 What is the b'th term of 268, 447, 552, 583, 540, 423? -37*b**2 + 290*b + 15 What is the i'th term of 565086, 565084, 565082, 565080, 565078? -2*i + 565088 What is the f'th term of 701, 1506, 2311, 3116? 805*f - 104 What is the a'th term of -53608, -107216, -160824, -214432, -268040, -321648? -53608*a What is the c'th term of 382, 431, 496, 577, 674, 787, 916? 8*c**2 + 25*c + 349 What is the n'th term of 3077851, 3077852, 3077853, 3077854, 3077855? n + 3077850 What is the v'th term of -10023, -20066, -30109, -40152, -50195? -10043*v + 20 What is the r'th term of 9972, 19947, 29922? 9975*r - 3 What is the b'th term of 180, 255, 228, 51, -324, -945, -1860, -3117? -8*b**3 - 3*b**2 + 140*b + 51 What is the l'th term of -2930, -5841, -8760, -11687? -4*l**2 - 2899*l - 27 What is the r'th term of -6, -17, -6, 39, 130, 279? 2*r**3 - r**2 - 22*r + 15 What is the v'th term of 9163, 9148, 9133, 9118, 9103, 9088? -15*v + 9178 What is the k'th term of 800, 769, 738, 707? -31*k + 831 What is the q'th term of 276, 608, 928, 1230, 1508, 1756, 1968? -q**3 + 339*q - 62 What is the z'th term of -620, -613, -598, -575? 4*z**2 - 5*z - 619 What is the j'th term of 14175, 14176, 14175, 14172, 14167, 14160? -j**2 + 4*j + 14172 What is the g'th term of -14375, -14501, -14711, -15005, -15383? -42*g**2 - 14333 What is the k'th term of -13127, -26250, -39373, -52496, -65619, -78742? -13123*k - 4 What is the r'th term of -849, -1647, -2447, -3249, -4053? -r**2 - 795*r - 53 What is the g'th term of 692524, 692521, 692518, 692515? -3*g + 692527 Wh
{ "pile_set_name": "DM Mathematics" }
+ 19. Which is smaller: g or x? g Let o be (3/(-2))/(2/(-4)). Let d(i) = -4*i - 2. Let c be d(o). Is c greater than or equal to -14? True Let f = 37/3 - 709/57. Which is smaller: -18 or f? -18 Let o = -13437 + 54303/4. Which is smaller: o or 140? o Let q = -8 - -58. Let r = q - 52.3. Let d = r + 1.3. Which is greater: d or 0.3? 0.3 Let m = -0.09 + 0.1. Let o = -0.2 + m. Is o bigger than 0? False Suppose -4*b = -5*b + 10. Suppose -2*q - b = 8. Do q and -10 have the same value? False Suppose -4*q - 7*g + 11*g = 20, 3*g - 13 = q. Are -1/557 and q equal? False Let g(q) = 4*q**2 + 5*q + 7. Let k be g(-6). Is k at most 123? True Suppose -2*y + 41 = -5*u, 3*u + 5*y + 42 = 5. Let m(a) = -a**3 - 8*a**2 + 13*a + 17. Let d be m(u). Is -20 != d? True Let c = 4291/22 + -195. Which is greater: c or -1? c Suppose -2*i = i - 24. Suppose -5*v + 4*v = -7. Is v less than i? True Let p = 5 - -3. Suppose 0 = 5*j - p*j + 6. Let i be 0*(3/2 - 2). Which is greater: i or j? j Suppose -1 = -14*r - 1. Let p be 19/85 - 34/85. Do r and p have different values? True Let i(s) = s**3 - 18*s**2 + 25*s - 24. Suppose -42 = -2*t - 8. Let c be i(t). Let q be c/(-186) - (-6)/9. Which is smaller: 0 or q? 0 Suppose 0 = -56*p + 61*p - 200. Which is smaller: p or 43? p Let h = -448 + 428.08. Let s = -24 + 4. Let f = h - s. Which is smaller: 0 or f? 0 Suppose 3*l = 5*v + 27, 4*v + 4*l = -9 - 19. Let q be (-12)/v - -1*2. Suppose -5*k = -k - d - 33, k + 3 = q*d. Is k greater than 10? False Suppose 0 = 2*a - 15 + 69. Is a bigger than -27? False Let g = 10901/32 + -341. Is 1 smaller than g? False Let a(j) = j**3 - 2*j**2 - 5*j - 3. Let g be a(-3). Let c = 19 + g. Let o = c + 18. Is o greater than or equal to 4? True Let o = 323 + -341. Is -16 < o? False Suppose j = -5*g - 3, 2*j + 15 = -3*j. Let q = 35.83 - 36. Let c = q - -0.07. Which is smaller: g or c? c Suppose 2*u - 8 = 4*u + 4*h, 2*h = -5*u + 4. Which is greater: u or -734? u Let t be 2/6*(-18)/(-2). Let q be ((t - 2)*-3 - -4)*-1. Is q < 3/7? True Let j = -1806 + 944. Which is smaller: j or -861? j Let s(n) = n + 5. Let w be s(-5). Let c = 537004/121 + -4438. Let k = -92/3025 - c. Which is smaller: w or k? k Suppose 0 = i + x + 3, 3*i + 4*x + 1 = -11. Suppose 5*b + 9 = 4*y - 10, i = -y - b - 2. Is 2/11 equal to y? False Let k be -8*16/(-256)*3*-2. Are 3 and k equal? False Let t(x) = -x**3 + 2*x**2 + x. Let c(q) = -4*q**3 + 7*q**2 - 11*q - 1. Let z(s) = -c(s) + 5*t(s). Let f be z(-3). Which is smaller: f or 10? f Let v = 6 + -6.16. Let o = 4.84 - v. Let t = o - 5.02. Is t greater than or equal to 0? False Let r = -57.3 - -58. Let z = 1 - r. Is z greater than -2? True Suppose -m - 4*i + 7 = -3*i, -i = -2*m + 20. Suppose m*r - 4*r + 50 = 0. Let y = -10 - r. Which is greater: 2/3 or y? 2/3 Suppose -3 = i - 0. Let u(j) = -j**2 - 6*j - 5. Let w be u(i). Suppose w*y - 4 = -0. Which is greater: y or 0? y Let c(f) = 5*f**2 + 13*f + 5. Let w be c(-2). Does w = 2/7? False Let a be ((-166)/4 - 2) + (-4)/(-8). Let y = a - -111. Which is smaller: 0 or y? 0 Let w be 5*-1*2/(-5). Let j(l) = 2*l**2 + w*l - 7*l + 5 - 2*l - l**2. Let u be j(6). Which is greater: u or 1/7? 1/7 Suppose -71659 - 6621 = -76*v. Which is smaller: v or 1032? v Suppose 5*n = 5*l + 20, 19 = 4*n - 2*l + 5. Let i(r) = -2*r + 2 + r**2 + 0 + 2*r**2 - r**3. Let u be i(n). Which is smaller: u or -2? u Let g(c) = -4*c - 1. Let t be g(-1). Let k(x) = 53*x - 12. Let u be k(3). Let n be -1*t*14/u. Which is greater: n or 1? 1 Let f be (-2)/2*(-11)/11. Let g be ((-6)/(-4))/(492/(-16)). Is g less than or equal to f? True Let z(j) = 37*j - 24. Let i be z(3). Which is bigger: 88 or i? 88 Let k = -21111/26 - -812. Which is smaller: 1/5 or k? k Let k(y) be the first derivative of -7*y**2/2 + 12*y - 12. Let c be k(3). Is c < -5? True Let b be (-1 - (-6)/(-3)) + -1. Let u be 7/(-98) + 2/b. Suppose -2*i - i + w = 3, 0 = 4*w - 12. Which is smaller: u or i? u Let l be 0 + (39 - 0)*24/36. Let a be 101/4 - 1/4. Which is greater: a or l? l Let b = -429.81 - -430. Let u = 4.9 + -5. Which is bigger: u or b? b Let z = 1771/3 - 590. Suppose -2*p - u = 7, -u - 2 = -4*p - 1. Let i be 0 + (-1 - p)*1. Which is bigger: z or i? z Let q = -1568 + 1573. Let n = 0.4 - 1.3. Let y = n + 1. Which is smaller: y or q? y Let i be 0 + (-24)/4 + -4. Let j be (-8)/(-26)*i/(-20). Let p(q) = q**2 + 3*q - 3. Let z be p(-4). Are j and z nonequal? True Let f = 208 - 209. Is f greater than or equal to 14/31? False Suppose d = 0, -d + 2*d - 24 = -4*s. Suppose -6*f = -4*z - 3*f + 140, -4*z + 112 = 4*f. Suppose -5*c - 2*u + z = 0, -3*c - 3 + 15 = 3*u. Are c and s unequal? True Let i = 0.132 + -12.932. Let d = -13.8 - i. Is d smaller than 2.3? True Let o be -3*(10 - (-579)/(-57)). Suppose 3*j = -1 - 2. Is o at least j? True Let n = -163 + 59. Which is smaller: n or 0.1? n Let z(n) be the third derivative of 13*n**4/24 - n**2. Let j be z(-1). Let l = -9 - j. Is 2 > l? False Let w be 5 + -4 + 1 + -1. Let a = -39/50 - -7/10. Is a bigger than w? False Let u be (-13)/(-13)*(0 - 1). Let m be (u + (-10)/(-14))*7. Which is smaller: -4/5 or m? m Let u(j) = -6*j**2 - 14*j + 33. Let c be u(2). Which is smaller: c or -27? -27 Let l = 10 - 14. Let j be 6*l*(-2)/24. Suppose 4*u + j + 10 = 0. Is -3 greater than or equal to u? True Let j be ((-94)/3)/(8/(-12)). Suppose 0 = -3*k - 5*z + 101, -7*z + j = k - 2*z. Let q be (4/3)/((-45)/k). Which is greater: q or -2? q Suppose 4*f + b - 6*b - 234 = 0, -2*f + 102 = 5*b. Let g be (-16)/f + 6994/14. Let k = g + -498. Is 2 > k? True Let k(l) = -3 + 665*l + 30 - 663*l. Let n be k(-13). Which is smaller: n or 3/35? 3/35 Let v(a) = 4*a**3 + 2*a**2 + 3. Let m be v(-2). Let i = -269/13 - m. Does 1 = i? False Suppose -71*t - 2256 = 11518. Do -197 and t have different values? True Let v = 4 - 4. Suppose -2 = r - v*r. Is -1 < r? False Let x be 224/4900*2/(-8). Is 0 at most as big as x? False Let s(v) = 148*v + 152. Let q be s(-5). Which is greater: q or -589? q Suppose -20*m = -11*m - 9. Is m greater than or equal to -7/41? True Let h = 316 - 308. Which is greater: 17 or h? 17 Let t = 76 + -49. Suppose f - 4*f - t = 0. Suppose -12 - 4 = 2*a. Which is smaller: a or f? f Let h = 5 - 3.3. Let m = -0.3 + h. Let z = m + -1.1. Is z <= -1? False Let t be (-834)/44*4/(-60). Let u = -13270/11 + 1205. Let w = t + u. Which is smaller: 0 or w? w Suppose 3*t - 3*s = -2*t + 12, t + 8 = -2*s. Suppose t = 4*b - 0*b. Which is greater: -2/13 or b? b Let u be (3 - (-4 + 6))/1. Let q be u*-5*(-6)/(-10)*1. Suppose 3*n = 5*n + 6. Do q and n have different values? False Let c be 0 - (-1 - -1) - 0. Suppose 2*q + 87 = -q. Let n = q + 26. Are c and n nonequal? True Let t(s) = s**3 + 4*s**2 - 2*s + 3. Let f be t(-5). Let m = f + 17. Suppose -5*k + 3*q + 0 = -5, 5 = m*k + 3*q. Which is greater: k or 0? k Let o = -25 + 32. Suppose 2*q + 4*k = 20, 0*q - k = -q + o. Is 2 > q? False Let p = 4 - -3. Suppose -15 = 2*m - p*m. Suppose 2*t - 2 = 5*v, -v + 5*t = m*t + 2. Which is smaller: 5/8 or v? v Let v = 25.5 + -39.7. Which is smaller: -0.1 or v? v Let w be 0 + 2/(-4)*-2. Let o = -2044/13 + 179833/1144. Is w at most as big as o? False Let w = 1000/9 - 111. Suppose -89 = -5*k + f, 71 = -3*k + 7*k - f. Let a = k + -18. Is a at least w? False Suppose -5*p - 4*c = -6, -7*p - 2*c = -4*p - 2. Suppose -3*a - 6 = -0. Let f be a/(-21) - 4/6. Is p at least as big as f? False Let g(k) = -k**3 + 40*k**2 + 40*k - 139. Let v be g(41). Does -179 = v? False Let i = -69 + 69.59. Let w = i + 0.01. Which is bigger: 2/7 or w? w Let d = -6878 + 13413/2. Which is greater: -173 or d? d Let z = -858.3 - -846. Is 0.1 not equal to z? True Suppose 4*z + 8 + 16 = 0. Let h be ((-4)/z)/(8/(-72)). Let d be -1 - ((-5)/h + -2). Is d at least as big as 0? True Let s = 3 - 3. Suppose -6 = -s*m - m. Let d be (-4)/m + (-119)/(-84). Which is smaller: 1 or d? d Let j = 113 + -83. Let h be j/(-4)*(5 - 62/10). Is h less than 64/7? True Let i = -29 - -45. Suppose i*u - 13*u - 27 = 0. Let a be 3/(2/((-20)/(-3))). Which is smaller: a or u? u Suppose 3*f + 4*p - 23 + 9 = 0, -4 = f - 3*p. Suppose f*q + 2 = -2. Let a = -685/4 + 170. Which is bigger: a or q? a Let p = -2.8 + 0.8. Let k = -15 - p. Let x = k - -12.7. Which is bigger: -3 or x? x Let x be 1 - (2 + 12/(-18)). Which is smaller: 67
{ "pile_set_name": "DM Mathematics" }
1/b - (-241)/8? 2, 3, 5 Let i(u) = -u**2 - 5*u - 7. Let c be i(-5). Let a = -49 + c. Let g = a - -94. What are the prime factors of g? 2, 19 Let y be -1 - (-12)/(7 - 3). Let v(b) = 23*b + 4. List the prime factors of v(y). 2, 5 Suppose 0 = 11*j - 13*j + 634. List the prime factors of j. 317 Let t(k) be the second derivative of -k**3/6 + 13*k**2/2 - 3*k. Let l be t(-7). Suppose -l = -3*x + 10. List the prime factors of x. 2, 5 Let f(n) = 5*n**2 + n + 6. Let c be f(7). Let p = 397 - c. What are the prime factors of p? 139 List the prime factors of (-252)/30*-5 - 5. 37 Let u(q) = -q**3 + 5*q**2 + 8*q - 6. Let g be u(6). What are the prime factors of (-6*(-4)/g)/(4/32)? 2 Let s(z) = 5*z**2 + 2*z + 1013. What are the prime factors of s(0)? 1013 Let r(i) = 31*i**2 + 1. Suppose -2*v + 7*v = 0. Suppose v = -3*p + 4*p - 1. What are the prime factors of r(p)? 2 Let g = -3 + 154. Suppose 208 = 4*m - 4*h, 3*h - g - 77 = -5*m. List the prime factors of m. 2, 3 Suppose -7*t + 5*t = 144. What are the prime factors of 0 - (-2794)/18 - (-16)/t? 5, 31 Suppose -24*x + 19*x + 13492 = 2*o, -2*o + 5398 = 2*x. List the prime factors of x. 2, 19, 71 Let g be (-27)/(-6)*(-4)/(-6). Suppose 5*y + 5*a = 15, -g*y - 2*a = -0*a - 8. Suppose 2*n + 4 = 3*w - 31, -y*w - 4*n + 34 = 0. What are the prime factors of w? 13 Suppose 25 = 5*b, 7*q - 3*q = b + 31. Let m(k) = -k**3 + 7*k**2 - 3*k + 6. Let s be m(7). List the prime factors of (q - 0)*(-5)/s. 3 Let g = -45 - -45. Suppose 13*u - 7*u - 168 = g. What are the prime factors of u? 2, 7 List the prime factors of (-162)/(-8)*156/13 - -2. 5, 7 Let l(a) = -2*a**3 + a**2 + 3*a + 2. Suppose q + 13 = 15. Suppose -q = -f - 4. List the prime factors of l(f). 2 Let k(q) = 3*q**3 + 3*q**2 + 12. Let s = 6 - 10. Let b(r) = 5*r**3 + 7*r**2 + r + 23. Let i(f) = s*b(f) + 7*k(f). What are the prime factors of i(8)? 2, 3 Let r = 143 + -20. Suppose 0 = 4*f - 3*m - r, 0 = -9*f + 4*f - 4*m + 146. What are the prime factors of 1 + f + (-1 - 1)? 29 Let u be (-16)/(-88) + 2064/22. Let c = -1 - -5. Suppose -u = -3*q - c. List the prime factors of q. 2, 3, 5 Let z(m) = 2*m - 27. Let s be z(15). What are the prime factors of (34/(-4))/(-2*s/12)? 17 Suppose 6195 = 2*j + 3*k, -212*j + 207*j + 2*k + 15535 = 0. What are the prime factors of j? 3, 5, 23 Let d(s) = s**2 - 6*s - 17. Let h be d(-5). Suppose -h + 114 = 2*y. List the prime factors of y. 2, 19 Let w = 29 + -28. Suppose 0 = -k - w, 4*g - k - 10 = -1. Suppose 0 = 3*x + 4 + 8, -2*d = -g*x - 44. What are the prime factors of d? 2, 3 What are the prime factors of 643 + 4 + -3 + -9? 5, 127 Suppose -4*w = -5*c - 26 + 3, 0 = -c - 3. Suppose -4*m = -w*m. Suppose m*j = -3*j - 4*f + 83, -5*j = 2*f - 157. What are the prime factors of j? 3, 11 Suppose 9 - 5 = 4*k. Let j(v) = 4*v. Let g be j(k). Let r = 6 - g. What are the prime factors of r? 2 Suppose -40*m + 44*m + 5*q - 8986 = 0, 0 = 3*m + 2*q - 6743. List the prime factors of m. 13, 173 Suppose 5*s - 20 = -a + s, 3*s = 2*a + 15. Suppose -3*m - 50 + 17 = a. Let t = -6 - m. What are the prime factors of t? 5 Let o(d) be the first derivative of -19*d**2 - 13. Suppose 4*i - m + 7 = 0, -2*m = 2*i - 5 + 1. What are the prime factors of o(i)? 2, 19 Let m be 9/(5 - 2) + -2 + 1. Suppose 0 = -m*x + 99 + 97. What are the prime factors of x? 2, 7 Let t = 51 + 1. Let c = 107 - t. List the prime factors of c. 5, 11 Suppose 4*s = -8, -4*a - s = a - 6303. What are the prime factors of a? 13, 97 Let s(o) = -28*o + 1. Suppose -x + 0*h = 3*h - 1, -5*x + 2*h - 12 = 0. What are the prime factors of s(x)? 3, 19 Let j = -25 + 34. What are the prime factors of j/24*126 - 12/(-16)? 2, 3 Let f = -2736 + 4037. What are the prime factors of f? 1301 Let l = 3789 + -2102. What are the prime factors of l? 7, 241 Suppose 22*m = 29*m - 7091. What are the prime factors of m? 1013 Suppose 3 = o - 0*o. Suppose 0 = -o*t + 5*n + 21, 0 = -t - 4*n - n + 27. What are the prime factors of t? 2, 3 Suppose 0 = 33*r - 67711 - 25943. What are the prime factors of r? 2, 3, 11, 43 What are the prime factors of ((-120)/16 + 8)/((-1)/(-4414))? 2207 Suppose 6*y - 4198 - 1316 = 0. What are the prime factors of y? 919 Let n = -8 + 8. Suppose i + 22 + 49 = n. Let c = -45 - i. List the prime factors of c. 2, 13 Let p(h) = -3*h**2 + 78*h - 6. List the prime factors of p(20). 2, 3, 59 Suppose 0*k - 4 = 4*k, 2*k + 2 = -5*j. Let t = 4 - j. What are the prime factors of -10*(3 - t) + 0? 2, 5 Let y(b) = -b**3 + 8*b**2 - 7*b + 3. Let j be y(7). Suppose -3*n = -j*t - 7*n + 245, 4*n = 4*t - 280. What are the prime factors of t? 3, 5 What are the prime factors of -2814*(-8 + (6 - -1))? 2, 3, 7, 67 Suppose -167*q + 169*q - 1760 = 0. List the prime factors of q. 2, 5, 11 Suppose 3*d = 1596 + 75. What are the prime factors of d? 557 Suppose -3*l = 2*d, -d + 2*l = -3*l. Suppose d = -2*p - 8, 0 = -x + p - 2 + 9. Suppose 0 = -x*y - 11 + 59. What are the prime factors of y? 2 Let c be ((0/(-3))/(-3) - -536) + -2. Let r = -272 + c. What are the prime factors of r? 2, 131 Let n(g) = 22*g + 2. Let z be n(4). Suppose 3*p = -3*h + 3, -2*p + 4*h = 5*h - 5. Suppose p*j - z = j. What are the prime factors of j? 2, 3, 5 Suppose -26*f + 30*f = -80. What are the prime factors of 8/10 - (3744/f - 2)? 2, 5, 19 Let t(r) = -85*r + 4. Let q be t(1). Let v = -56 - q. List the prime factors of v. 5 Suppose 0 = -4*h - 84*h + 267960. List the prime factors of h. 3, 5, 7, 29 Suppose 704 = 5*w + 139. Let o = -49 + w. What are the prime factors of o? 2 Suppose -5*o - 4*n + 5*n + 1888 = 0, 3*n = 6. List the prime factors of o. 2, 3, 7 Suppose 36*r - 144*r + 501012 = 0. What are the prime factors of r? 4639 Let x = -32 + 55. Suppose -c = -3*n - n - x, -23 = -c + 2*n. List the prime factors of c. 23 Let r(u) = -11*u + 57. Suppose i + 2*p + 7 = 0, 4*i - p + 29 + 8 = 0. What are the prime factors of r(i)? 2, 3, 13 Let b be 1*41 - (6 + -6). Let q(i) = -11*i - 8. Let w be q(-6). Let a = w - b. What are the prime factors of a? 17 Suppose 30*o = 11237 + 57073. What are the prime factors of o? 3, 11, 23 Let v(k) = 2*k**2 - 20. List the prime factors of v(16). 2, 3, 41 Let a = -448 + 489. What are the prime factors of a? 41 Suppose 20 = 14*t - 16*t. Let s(y) = y**2 - y - 11. What are the prime factors of s(t)? 3, 11 Suppose 348*h + 565 = 353*h. List the prime factors of h. 113 Suppose -4*k + 9*k - 19 = -3*v, 4*v = 3*k + 6. Suppose 0 = -5*i - v + 13. Suppose -c - 49 = -5*q + 115, i*q + 3*c - 69 = 0. List the prime factors of q. 3, 11 Suppose 0 = 11*q - 9*q + 12. List the prime factors of ((-12)/15)/(q/165). 2, 11 Let d be (1 + 1)/(6 - 4). Suppose -7 = 2*x + d. What are the prime factors of 2/8 + (-307)/x? 7, 11 Let d = 2272 + -1577. What are the prime factors of d? 5, 139 Let z(n) = 5*n**2 - 2*n + 26. Let m(x) = x**2 - x - 1. Let s(q) = -4*m(q) + z(q). List the prime factors of s(0). 2, 3, 5 Suppose 0*m - 3*m + 6 = 0. Suppose -2*n + 5 + 607 = 3*b, -4*b + 816 = n. What are the prime factors of (-1)/m + b/8? 5 List the prime factors of (-2)/(1/139*-2). 139 Let u = -12 - -37. Let v = 184 + u. What are the prime factors of v? 11, 19 Suppose 4*s = -2397 + 9221. List the prime factors of s. 2, 853 Let w be 1/(-2) + (-4)/(-8). Suppose -2*s + 20 + 18 = w. List the prime factors of s. 19 Suppose -8*u + 18200 = 5*u. What are the prime factors of u? 2, 5, 7 Suppose -4197 = -2*o - 1199. What are the prime factors of o? 1499 Let v be ((-1)/2)/(1/(-408)). Suppose -26 = -2*s + v. Suppose -3*x - s - 30 = -4*a, -3*x = a - 40. What are the prime factors of a? 37 Let d = 4313 - 2315. What are the prime factors of d? 2, 3, 37 Suppose 6*h + 15 = 105. What are the prime factors of 6/15 + 129/h? 3 Suppose -16*s = -12*s - 28. Suppose 4*f - 12 = s*f, -5*n + 239 = -f. What are the prime factors of n? 47 Suppose 396 = 11*o + o. List the prime factors of o. 3, 11 Suppose 0 = -4*q - 5*q + 7452. What are the prime factors of q? 2, 3, 23 Suppose -4*g + 5*g = 4*c + 56, -138 = -3*g + 2*c. Suppose 4*x - 2*x = g. Let u = x - 11. List the prime factors of u. 11 Suppose 44149 = 24*a - 4259. List the prime factors of a. 2017 Suppose -4*n = -4*r + 2464, 4*n + 1929 = 3*r + 80. What are the prime factors of r? 3, 5, 41 What are the prime factors of (-5 + 105/10)*(2 - -40)? 3, 7, 11 Suppose -193*s
{ "pile_set_name": "DM Mathematics" }
2062b In base 3, what is 11112202121 - 12? 11112202102 In base 9, what is -50457 - -1? -50456 In base 12, what is -4 - 7197? -719b In base 6, what is 25345104 + 5? 25345113 In base 5, what is -4221013 + 2? -4221011 In base 7, what is -61 - 45546? -45640 In base 10, what is 3 + 283893? 283896 In base 4, what is -33031 + 3301? -23130 In base 16, what is b3 - -35b? 40e In base 5, what is 1112 + 320104? 321221 In base 11, what is 4073 - -42? 4105 In base 6, what is -100302 - -103? -100155 In base 2, what is 10000110 - -1001100? 11010010 In base 13, what is 9c - 6453? -6384 In base 6, what is -54 + 113422? 113324 In base 8, what is 412314 + 5? 412321 In base 5, what is 2334 + 13131? 21020 In base 13, what is 24709a5 + -5? 24709a0 In base 4, what is 100332 - 21030? 13302 In base 6, what is 5102 - -21? 5123 In base 16, what is -39 + 6? -33 In base 13, what is -13 + -6326? -6339 In base 12, what is 1158 + 46? 11a2 In base 13, what is -b08c1 + 2? -b08bc In base 4, what is 13100110 - -232? 13101002 In base 6, what is -15553 - 24? -20021 In base 4, what is -120102111 + 222? -120101223 In base 5, what is 4121 + -2344? 1222 In base 10, what is 5 - -431762? 431767 In base 2, what is 1110000 + -1000010000? -110100000 In base 10, what is 4551 - -1176? 5727 In base 16, what is -d + -5e03? -5e10 In base 13, what is 268b4 + -1? 268b3 In base 9, what is -5 + 3507? 3502 In base 16, what is -9c7 + 32? -995 In base 3, what is -1112011210111 - -1? -1112011210110 In base 5, what is 20 + 223201? 223221 In base 9, what is -78157 + -1? -78158 In base 9, what is 5 + 4116? 4122 In base 2, what is 1010010010110 + -11111000? 1001110011110 In base 12, what is 13b314 - -5? 13b319 In base 6, what is 1 + -11551? -11550 In base 8, what is 63 - -3345? 3430 In base 16, what is ef + -2? ed In base 4, what is 2111 + -201320? -133203 In base 2, what is 1011010101010 - 1000? 1011010100010 In base 16, what is 5 - -1880? 1885 In base 15, what is -6 + -6ec? -703 In base 3, what is -222112022120 - 11? -222112022201 In base 2, what is 10000001 + 10000000111? 10010001000 In base 11, what is 225 + 41? 266 In base 2, what is 1100 - 11111011010000? -11111011000100 In base 9, what is 151 - 476? -325 In base 5, what is 4230 - 11? 4214 In base 6, what is 1203 + 211? 1414 In base 14, what is -274 - -b85? 911 In base 9, what is 7328 - 12? 7316 In base 14, what is -404 + -379? -77d In base 5, what is 24231 - 341? 23340 In base 5, what is -1 + 1303024? 1303023 In base 2, what is 11011101101111 + 111110? 11011110101101 In base 16, what is 682 + -c3e? -5bc In base 10, what is 47 + 37584? 37631 In base 3, what is 10200 - 202102110? -202021210 In base 12, what is -14 - -649? 635 In base 16, what is 386 + -b? 37b In base 16, what is 18dafd + -2? 18dafb In base 15, what is -128e6 + -3? -128e9 In base 3, what is -2001 + -200201020? -200210021 In base 10, what is -1427 - -5? -1422 In base 3, what is -2 + -1200? -1202 In base 6, what is -1402432534 - -4? -1402432530 In base 7, what is 3 + 14105? 14111 In base 11, what is -7 - 1990? -1997 In base 13, what is 2 - 137ba? -137b8 In base 4, what is 132030 + 1311? 200001 In base 8, what is -1731657 + 1? -1731656 In base 7, what is -13 - -241544? 241531 In base 16, what is 2 - -6586? 6588 In base 13, what is 62b91 - -5? 62b96 In base 15, what is -3 + -1? -4 In base 10, what is -4 - -27252? 27248 In base 12, what is -2a456 - 4? -2a45a In base 7, what is -2 - -110024? 110022 In base 12, what is -6 + 377? 371 In base 16, what is ab + -265? -1ba In base 12, what is 145 + -341? -1b8 In base 10, what is -4408 + -4? -4412 In base 8, what is 1 + 2657521? 2657522 In base 9, what is -2484 - -12? -2472 In base 10, what is -4192 + -78? -4270 In base 5, what is 3311 + -1232? 2024 In base 7, what is 2000 - -624? 2624 In base 5, what is 111 - 13300240? -13300124 In base 6, what is 12 - -55? 111 In base 16, what is -1a + -62b5? -62cf In base 11, what is 47 - -3286a? 32906 In base 2, what is 100001111010 - -10011101? 100100010111 In base 8, what is 0 - -53635? 53635 In base 13, what is -5c - -b6? 57 In base 6, what is 35433 - 4? 35425 In base 4, what is 11232 - 2113? 3113 In base 11, what is -46 - 1595? -1630 In base 7, what is 212436 - -12? 212451 In base 7, what is 10 + 1535? 1545 In base 13, what is 18 + -530c6? -530ab In base 6, what is -24023 + 11? -24012 In base 5, what is -244313103 + 3? -244313100 In base 4, what is 2231 + 10013? 12310 In base 9, what is -12373 - -472? -11801 In base 14, what is -4 - 5a63? -5a67 In base 14, what is 3dd6 - 3? 3dd3 In base 2, what is -111100 - 101001111011? -101010110111 In base 3, what is -12021100 - 111021? -12202121 In base 10, what is 807 + -206? 601 In base 12, what is 19 + 23723? 23740 In base 15, what is -14de - 2? -14e1 In base 4, what is 23232102 + 10? 23232112 In base 5, what is 22 + -3214343? -3214321 In base 2, what is -101010 - 1100011011101? -1100100000111 In base 10, what is 13988 + 4? 13992 In base 10, what is 3 + 343748? 343751 In base 9, what is -108 + 1002? 783 In base 12, what is -10 + 164267? 164257 In base 11, what is -13643 - 9? -13651 In base 2, what is -10110111100001 - 110? -10110111100111 In base 6, what is -15020 - -30? -14550 In base 2, what is -10000 - -11000100? 10110100 In base 7, what is 2 + 31620? 31622 In base 12, what is -1930a - -17? -192b3 In base 4, what is 13320003 - -30? 13320033 In base 11, what is -2 + -8780? -8782 In base 3, what is 200 + 211200000? 211200200 In base 5, what is 2403111 + -312? 2402244 In base 10, what is 52 - -86769? 86821 In base 7, what is -2 - -1046514? 1046512 In base 14, what is 5775 + 2? 5777 In base 2, what is 1 - 101011101000110? -101011101000101 In base 2, what is -10010110000111010 - 11? -10010110000111101 In base 15, what is -2 + -175d? -1760 In base 3, what is 122011002 + 0? 122011002 In base 16, what is -73 + d9b? d28 In base 3, what is 10201 - 211112012? -211101111 In base 10, what is -15209 - -4? -15205 In base 11, what is -3 - 39065? -39068 In base 6, what is 5 + -305230? -305221 In base 6, what is 1432240 + 4? 1432244 In base 5, what is 11331 + -103? 11223 In base 10, what is 557 - -99? 656 In base 8, what is 1 - -747? 750 In base 8, what is 14460 + -25? 14433 In base 5, what is 14 - -24321? 24340 In base 12, what is -83a - -22a? -610 In base 2, what is 1010 + -100001111000101011? -100001111000100001 In base 16, what is -2099d5 + 4? -2099d1 In base 9, what is 4 - -2770466? 2770471 In base 16, what is 8 - -3ab0? 3ab8 In base 7, what is 5 + -2235460? -2235452 In base 3, what is -10000 - 111122? -121122 In base 3, what is 211122220 - -112? 211200102 In base 11, what is -1607 + 1a? -1598 In base 16, what is -13e + 2f19? 2ddb In base 6, what is -3033 - -10? -3023 In base 6, what is 5 + -2234110? -2234101 In base 10, what is 9 - -5926? 5935 In base 16, what is -b0c0 + 3? -b0bd In base 11, what is -5 - 332092? -332097 In base 5, what is -4213 - -1133? -3030 In base 8, what is -55642 - -5? -55635 In base 8, what is -563263 + -1? -563264 In base 6, what is -50000 + 1? -45555 In base 8, what is 410 + 3537? 4147 In base 16, what is c484c + 3? c484f In base 12, what is 67881 - -4? 67885 In base 12, what is -1 - -33589? 33588 In base 15, what is 89 + -87? 2 In base 8, what is 23227 + -11? 23216 In base 16, what is -8 - -17934? 1792c In base 10, what is 238 + 1421? 1659 In base 6, what is -40453 + -2? -40455 In base 2, what is -10001011000101 - -1? -10001011000100 In base 13, what is c + -cc14? -cc05 In base 11, what is 9aa6 - 78? 9a29 In base 12, what is -408b - 14? -40a3 In base 7, what is -63404 - -325? -63046 In base 3, what is 1100 - -111221202? 112000002 In base 12, what is -4639b + 4? -46397 In base 13, what is -3 + -3409? -340c In base 16, what is 13bfb + -4? 13bf7 In base 5, what is 2 + 114244? 114301 In base 10, what is -1 + 63720? 63719 In base 5, what is -3101 - 142? -3243 In base 6, what is -4 + 220? 212 In base 6, what is -2131312 - 3? -2131315 In base 15, what is 6 - -b6d? b74 In base 5, what is -243223 - -10? -243213 In base 15, what is 5 - -5d871? 5d876 In base 14, what is -7 - 8424? -842b In base 7, what is 21066 - -66? 21165 In base 16, what is 2d8 - -23? 2fb In base 8, what is 2 + 7700? 7702 In base 5, what is -201104 - 12? -201121 In base 10, what is -55 -
{ "pile_set_name": "DM Mathematics" }
ence xu. 3/76 Two letters picked without replacement from {f: 11, s: 2}. What is prob of sequence ss? 1/78 Three letters picked without replacement from ottotootooot. What is prob of sequence ott? 7/66 Four letters picked without replacement from grgggggrggggrgggrggg. What is prob of sequence rgrg? 8/323 Three letters picked without replacement from {g: 1, j: 5, e: 4, p: 5}. Give prob of sequence jgj. 2/273 Four letters picked without replacement from {d: 1, b: 1, q: 1, i: 1, r: 1}. Give prob of sequence qdib. 1/120 Two letters picked without replacement from ybybyppoyybbbooyy. What is prob of sequence yp? 7/136 Three letters picked without replacement from rvqddqddr. What is prob of sequence vdd? 1/42 What is prob of sequence gn when two letters picked without replacement from eeeenngrgereeennegne? 3/76 Two letters picked without replacement from uunnszxnxnxjsjznn. What is prob of sequence zj? 1/68 Calculate prob of sequence iilw when four letters picked without replacement from wlii. 1/12 What is prob of sequence fs when two letters picked without replacement from {a: 1, s: 1, j: 1, x: 1, f: 1}? 1/20 What is prob of sequence kll when three letters picked without replacement from {l: 9, k: 11}? 11/95 Three letters picked without replacement from {c: 1, e: 1, y: 1, i: 2, d: 1, u: 1}. What is prob of sequence iec? 1/105 Three letters picked without replacement from ouqzzuququeqqqzq. What is prob of sequence zqq? 3/80 What is prob of sequence cwlb when four letters picked without replacement from wbbbcblbwlbw? 1/330 Calculate prob of sequence jhj when three letters picked without replacement from {h: 4, p: 4, j: 2}. 1/90 Four letters picked without replacement from {t: 1, w: 1, z: 2, m: 1}. What is prob of sequence mwzz? 1/60 What is prob of sequence rr when two letters picked without replacement from rzzzzrzzzrzrr? 5/39 Calculate prob of sequence ju when two letters picked without replacement from {l: 1, b: 1, j: 2, v: 3, u: 3, z: 2}. 1/22 Calculate prob of sequence hvvv when four letters picked without replacement from vvvvvvvhvvh. 7/55 Four letters picked without replacement from xxdddddddxxdxddxxxx. What is prob of sequence dddd? 35/646 Two letters picked without replacement from {k: 9, p: 2}. What is prob of sequence pp? 1/55 Two letters picked without replacement from kooootcv. What is prob of sequence kv? 1/56 Four letters picked without replacement from mumkz. What is prob of sequence zkmu? 1/60 Calculate prob of sequence ttt when three letters picked without replacement from tttttttttbtttbttttt. 40/57 What is prob of sequence kokk when four letters picked without replacement from {k: 5, o: 3}? 3/28 Three letters picked without replacement from {m: 3, a: 4, n: 5}. What is prob of sequence mma? 1/55 Calculate prob of sequence ld when two letters picked without replacement from jbwyljd. 1/42 Calculate prob of sequence uv when two letters picked without replacement from {y: 1, v: 1, c: 3, u: 2, l: 4}. 1/55 Four letters picked without replacement from {t: 3, i: 3, h: 1, l: 5, z: 1}. Give prob of sequence ithl. 3/1144 What is prob of sequence sbs when three letters picked without replacement from {b: 5, s: 3}? 5/56 Calculate prob of sequence alv when three letters picked without replacement from havahhlsslahshhhs. 1/680 Calculate prob of sequence ewe when three letters picked without replacement from feeww. 1/15 What is prob of sequence gbg when three letters picked without replacement from {g: 3, o: 1, b: 2, w: 1, c: 2, p: 6}? 2/455 Calculate prob of sequence ici when three letters picked without replacement from {g: 9, i: 6, w: 3, c: 1}. 5/969 Calculate prob of sequence il when two letters picked without replacement from {r: 2, l: 3, j: 13, i: 2}. 3/190 Four letters picked without replacement from {n: 2, i: 4, d: 1, w: 6, s: 3}. What is prob of sequence niwd? 1/910 Calculate prob of sequence xgg when three letters picked without replacement from {x: 1, g: 2}. 1/3 Calculate prob of sequence jc when two letters picked without replacement from {k: 1, j: 1, o: 7, p: 3, e: 2, c: 3}. 3/272 What is prob of sequence bhi when three letters picked without replacement from irrrhribhhrrrrbrrrbr? 1/380 Calculate prob of sequence ttjq when four letters picked without replacement from tjttqqqttqjttjtjqtt. 25/1292 Two letters picked without replacement from {p: 5, y: 2}. Give prob of sequence yy. 1/21 Two letters picked without replacement from {a: 3, b: 1, j: 1, p: 2, x: 1, h: 5}. Give prob of sequence pb. 1/78 Calculate prob of sequence zq when two letters picked without replacement from nzneuzeuuusuuuq. 1/105 Two letters picked without replacement from uyylcullllmucyl. Give prob of sequence yu. 3/70 What is prob of sequence ddg when three letters picked without replacement from gddcdgg? 3/35 Calculate prob of sequence wu when two letters picked without replacement from {d: 2, i: 1, u: 1, w: 2, l: 1}. 1/21 Calculate prob of sequence wwkw when four letters picked without replacement from kkwkwkkwww. 5/84 Calculate prob of sequence tzpa when four letters picked without replacement from aptpupz. 1/280 Four letters picked without replacement from fxbnngm. What is prob of sequence bmgx? 1/840 Three letters picked without replacement from puppppppu. Give prob of sequence uup. 1/36 What is prob of sequence jy when two letters picked without replacement from {y: 4, u: 9, j: 1, x: 1, v: 2}? 1/68 What is prob of sequence qw when two letters picked without replacement from {y: 1, w: 2, q: 2, b: 1, c: 1, n: 2}? 1/18 Three letters picked without replacement from {y: 2, e: 2, q: 2, u: 1, b: 1}. What is prob of sequence ueq? 1/84 Two letters picked without replacement from {f: 1, y: 2, j: 6, l: 5, h: 3, s: 3}. What is prob of sequence sy? 3/190 Two letters picked without replacement from rrrrsesssrrsrusrrus. What is prob of sequence sr? 7/38 What is prob of sequence hhph when four letters picked without replacement from {p: 2, h: 9}? 7/55 Three letters picked without replacement from fffffnnffffnfn. Give prob of sequence nnn. 1/91 Three letters picked without replacement from oedap. Give prob of sequence poe. 1/60 Calculate prob of sequence zu when two letters picked without replacement from {z: 1, d: 3, y: 1, b: 2, u: 1, r: 4}. 1/132 What is prob of sequence ll when two letters picked without replacement from lfllfl? 2/5 What is prob of sequence cmmm when four letters picked without replacement from mmmmcmmmmmmmmmmmcmm? 5/57 Three letters picked without replacement from {c: 3, o: 1, a: 3, t: 1, z: 5, m: 2}. What is prob of sequence moz? 1/273 What is prob of sequence www when three letters picked without replacement from {w: 3}? 1 Three letters picked without replacement from {p: 3, r: 2}. Give prob of sequence ppp. 1/10 What is prob of sequence fgfo when four letters picked without replacement from {g: 3, i: 3, m: 3, f: 7, o: 1, r: 2}? 7/5168 Calculate prob of sequence eee when three letters picked without replacement from {e: 14, i: 1}. 4/5 Calculate prob of sequence ww when two letters picked without replacement from weww. 1/2 Four letters picked without replacement from phhimhhpimhmi. Give prob of sequence hhii. 1/143 Calculate prob of sequence sv when two letters picked without replacement from svv. 1/3 Three letters picked without replacement from {b: 4, s: 6, h: 5}. Give prob of sequence hsb. 4/91 What is prob of sequence cj when two letters picked without replacement from {c: 2, p: 2, x: 3, j: 9, m: 3}? 1/19 What is prob of sequence pf when two letters picked without replacement from {j: 10, i: 1, f: 4, p: 2}? 1/34 Three letters picked without replacement from {q: 1, c: 1, y: 2, l: 7, a: 2, i: 1}. Give prob of sequence ciq. 1/2184 Four letters picked without replacement from {o: 4, m: 2, f: 8}. Give prob of sequence fomo. 8/1001 Three letters picked without replacement from {y: 3, k: 5, c: 8}. What is prob of sequence ckk? 1/21 What is prob of sequence ppyp when four letters picked without replacement from {y: 2, p: 7, f: 4}? 7/286 Three letters picked without replacement from vvvvv. What is prob of sequence vvv? 1 Calculate prob of sequence uupp when four letters picked without replacement from {p: 10, u: 10}. 45/646 Calculate prob of sequence ddd when t
{ "pile_set_name": "DM Mathematics" }
(7 - i) + -2 + -2. Suppose -2*z + 4 + 2 = 0. Solve h*f = 4*p + f - 32, 2*p + z*f + 9 = 0 for p. 3 Let f(a) = 2*a**2 - 180*a + 2027. Let s be f(77). Suppose 0*q = q - 2. Solve -5*u - 2*m = -0*m + s, -10 = q*u + 5*m for u. -5 Suppose 4*d = 2*o - o + 13, 3*o - 12 = -5*d. Suppose -d*g - 52 = -16*g. Solve -23 = -5*h + 2*h - 4*l, -g*h - 3*l = -19 for h. 1 Let a be (4/3)/((-184)/(-414)). Suppose -6*s + 11*s + 4*p - 36 = 0, -a*s = 3*p - 24. Solve 0 = 2*n - s*n + b - 8, -3*n + 5*b = 5 for n. -5 Suppose -167 - 181 = 31*k - 118*k. Solve -3*p - 13 = -k, -1 = -5*g + 2*p for g. -1 Let s be ((-4)/10)/((360/500)/(-9)). Solve 0 = s*x - y + 4 - 1, 0 = -x + 2*y - 6 for x. 0 Let w = -53 - -27. Let f be (-39)/w - 9/(-6). Solve -16 = 4*v + c, -f*v - 2*c = c + 12 for v. -4 Let a = -2991 - -3011. Solve 18*z - 13*z + a = -5*d, -3*d = -z for d. -1 Suppose 30*i - 1670 = -1610. Solve -4*s + 78 - 43 = 3*j, -i*s + 4*j - 10 = 0 for s. 5 Let a(m) = 2*m + 2. Let o be a(1). Suppose 3 + 1 = o*p. Let g be (0/p)/(-4 - -5). Solve -l = g, 4*l + 2 = 4*c - 2 for c. 1 Suppose -4*i = -i. Let n be (46 + -41)*(-2)/(-5). Suppose -3*z - 2 = -0*z - 2*q, 0 = -5*z + 2*q + 2. Solve i = z*u - l - n, -2 = -4*u + 3*l for u. 2 Let h(a) = a + 45*a + 569 + 0*a - 150. Let u be h(-9). Solve -u*d = -k, 4*k - k = 3*d for d. 0 Let z = -138 + 142. Let a be ((-40)/z)/(-5) + 2 + -2. Let x be (-44)/(-10) + (-4)/10. Solve -j + x*y = 3, 5*y + 6 = -a*j - 0*j for j. -3 Let q = 0 + 0. Suppose 16*k - 30*k + 46 = 2*l, 3*k - 11 = -l. Solve j - 5*a - 15 = 0, -2*j + l*a + q*a = -14 for j. 5 Let s be 2002/(-4) - (1 - (-2)/(-4)). Let w = -501 - s. Solve w = 2*r - 4*h + 6*h - 18, -2*r - 5*h = -30 for r. 5 Suppose -687 + 250 = -19*g. Let h be (-5)/(-1) - (g + -20). Solve 23 = 5*m - q, -m + h*q = 6*q + 8 for m. 4 Let k(o) be the second derivative of 3*o**3/2 + 7*o**2/2 + 6*o. Let d be k(2). Let f = 29 - d. Solve -v = -2*z + 12, -4*v = -f*z - 5 + 37 for z. 4 Let j be 2707/(-7) - (-108)/(-378). Let h = -383 - j. Solve 2*n - 5*n + h = -p, -4*p + 3*n = -2 for p. 2 Suppose -2714*a - 47 = -5*w - 2710*a, a = 3*w - 17. Suppose -4*c + 1 = -11. Solve -4 = 4*h - w*h - n, 2*n - c = h for h. -5 Let a = -58 - -13. Let d be 6*(-3)/a + (-113)/(-5). Suppose d*l - 26 = 10*l. Solve -5*b + 4*w = -b, -l*b = 4*w for b. 0 Let h(n) = n**3 - 6*n**2 + 4*n + 3. Let y be h(5). Let t = 613 + -611. Let f be ((-11)/t)/(1/y). Solve q + 3*o + f = -1, 0 = -q - 4*o - 17 for q. 3 Suppose -2*l + 6 = -0*l - t, 5*l - 6 = -2*t. Let h = 1244 - 1210. Solve 0 = w + 2*p - l, 3*w - 5*p - 7 = -h for w. -4 Let b(d) be the second derivative of d**4/12 - 5*d**3 - 30*d**2 + 99*d. Let a be b(32). Solve 0 = 2*z + a*x, 1 = -4*x - 7 for z. 4 Let x = -550 - -572. Suppose 4*p - o = x, -5*p + 5*o - 9 = -29. Solve -h + p*c = 2*c + 16, 0 = 4*h + 4*c + 4 for h. -4 Let s be (-2 + 14)*39/(-78). Let v be ((-3)/s - -2)*1014/65. Solve -y = -j + 5, 5*j = -3*y + v - 14 for j. 5 Suppose -200*a + 27*a + 1065 = 40*a. Solve -3 = w + a*i, 53*w + 3*i = 55*w + 6 for w. -3 Let m(u) = -6*u - 98. Let b be m(-22). Suppose b*n - 4*k = 39*n - 22, -2*n = -5*k + 11. Solve 7*i - 16 = -s + n*i, 12 = 3*i for s. -4 Let j be 1 + 6 - (-1 + 1). Let m be (8 + 1100/(-75))/(12/(-9)). Solve -c = -3*n + j, -2*c = -n - c + m for n. 1 Let r be (-2 - -6) + -2 + 0. Let l be r*((-3)/(-2))/1. Let u be ((-86)/(-12) - 4)/((-95)/(-570)). Solve 3*z = 15, -2*d - 4*z - l = -u for d. -2 Suppose -z - 3*q + 5 = 0, 656*z - 658*z - 2*q + 14 = 0. Let y = 110 - 24. Suppose z = 90*g - y*g. Solve -l - a = 5, -g*a - 13 = 2*l + a for l. -2 Let t be ((-44)/(-154))/((-9)/(-252)). Solve f + 5*a + t = 4*f, 3*f + 4*a = -1 for f. 1 Let c(i) = -i**3 + 9*i**2 + 45*i - 248. Let o be c(11). Solve a + 3*f = -f - 12, o*a + 15 = -5*f for a. 0 Suppose -239*a + 16 = -237*a + 2*b, -5*a = -b + 8. Suppose o - 1 = 3. Solve -v = -q, -5*q - o*v + 0*v - 9 = a for q. -1 Suppose -5*r + 4*n - 4 = -29, 0 = -n. Suppose 2*o - 15 = -r*j - 3, -3*j + 10 = 4*o. Solve -6*z + 6 = 5*g - 3*z, 6 = -j*z for g. 3 Suppose 0 = 2*o + o + g + 2609, o + 4*g = -866. Let q = o - -875. Solve -3*t - q*b - 17 = 0, 5*b + 9 = t + 3*b for t. 1 Let s be (-2 - 1092/(-10))/(8/20). Let t = s - 266. Solve 5*f - 7 = -5*l - 22, 2*l - 6 = t*f for f. -3 Let l = -11074 + 11078. Solve 0 = 3*p - 5*j + 4, -l*j = -2*p - 8*j - 10 for p. -3 Suppose 121*j - 2080 = 47*j - 86*j. Solve -3*c = -7*c + 5*x + j, 4 = -4*x for c. 2 Let f be ((-3 - -3)/(-13))/(1*(-1 - 0)). Solve -3*p - 2*u - 2*u + 32 = f, 20 = 4*u for p. 4 Let f(v) = -2*v**3 + 15*v**2 + 96*v - 619. Let t be f(9). Solve 6*x - 4 = -4*m + t*x, -3*m + 13 = -2*x for m. 3 Suppose -b = 38*t - 35*t - 1270, 2*t - 2*b - 860 = 0. Let z = 431 - t. Solve -z*y = 2*d - 2*y + 6, 0 = 3*d - 2*y + 1 for d. -1 Let n(o) = 2*o - 43. Let x = 26 - 19. Let m be n(x). Let b = 33 + m. Solve d = r - 3*r + 4, 4*d = -b*r for d. -4 Let b(n) = 19*n + 1. Let c be b(-3). Let f(l) = l**3 - 16*l**2 - 41*l + 36. Let m be f(18). Let h = m - c. Solve -d - 6 = -o, h*o - 3*d + 0*d - 14 = 0 for o. 4 Let v = 11195 + -11190. Solve -v*n = -2*l + 7, -14 = -n + 4*l - 1 for n. -3 Let u(v) = -2*v**3 - 9*v**2 - 9*v + 11. Let p be u(-6). Let h = 176 - p. Solve 2*q = 3*q - 4*c, h = 3*c for q. 4 Let f = -3171 + 3174. Solve 0 = 5*g - f*k + 3 - 9, 2*k = -g - 4 for g. 0 Suppose 13*b + 38*b = 204. Let p(y) = y**2 - 6*y + 13. Let q be p(b). Solve -5*f + j = 1, q*j = -3*f - 2 + 7 for f. 0 Let z be 30/((-33)/6 - -4). Let m be 1/6 + z/120. Solve m = 5*d + 3*g - 25, 2*d + g - 10 = -0*d for d. 5 Suppose i + 3 = 4*i, i = -2*x + 5. Solve p = x*p + 3*b - 13, 10 = 5*p + 4*b for p. -2 Let b be 5/1 + -2 + (29 - 15). Solve -2*f + g + 12 = 0, 6*g - b = -3*f + 7*g for f. 5 Let f(b) = 2*b**3 - 4*b**2 + b - 2. Let o be f(3). Suppose -2*x - o = -39. Suppose 0 = 23*z - 18*z - x. Solve -d - 5 = 0, 5*d = z*n + n - 25 for n. 0 Suppose -z + 21 = -4*p - 6, -2*p - 60 = -2*z. Suppose z*i + 18 = 37*i. Solve 0 = 5*v - i*n - 40, 3*v - 3*n = n + 35 for v. 5 Let q be (1561/(-14))/(4/8). Let h = q - -225. Solve h*u + 1 = k + u, -7 = k + 3*u for k. -1 Suppose -99*t - 108 = -135*t. Solve -2*g - 1 - 5 = p, -5*g - t*p = 14 for g. -4 Let n be (-240)/(-34) - 839/14263. Solve 0 = h + 5*w + 10, 2*h - n*h + 2*w = -31 for h. 5 Let r(t) = t**3 + 4*t**2 - 11*t + 11. Let k be r(-6). Suppose 5*q - 25 = 4*b, 3*q + 0*b = k*b + 15. Solve q*n - 5 = -4*a + 10, -4*n + 12 = 3*a for n. 3 Let v be (-7 - 23/(-3))*-6 - -5. Solve -5*q = 2*k - 4, 4*q + v - 11 = -5*k for k. 2 Suppose 6 = 2*l - x - x, l - 3 = -3*x. Let i be (33 + -2 - -2) + 3. Let n be ((-1)/(-2))/(9/i). Solve 0 = 2*p - n, 0 = -l*r - 4*p - 4 - 4 for r. -4 Suppose 140 = -11*u + 173. Solve -o = 3*f - 8, o + 0*f - u = 2*f for o. 5 Let a(z) be the first derivative of 1/2*z**2 - 19 - 1/4*z**4 + 2*z**3 - 3*z. Let s be a(6). Solve 0 = -s*v - 5*l - 25, -2*v - 3*v = -3*l - 15 for v. 0 Let y(g) = -15*g + 2*g**2 + 4*g + 9*g - 36*g**3 - 3. Let w be y(-1). Solve 4*i = 5*h - 41, w = -5*i + 2*i + 5*h for i. -4 Let a = -232 + 284. Suppose a*s = 50*s + 4. Let m(r) = r**2 + 5*r + 5. Let y be m(-5). Solve 0 = -y*b - s*x - 12, 5*b + 2*x + 11 = x for b. -2 Let t be 36*((-6)/9 - 2/3). Let w be (-13)/(-3) + 16/t. Suppose 0*l + q - 7 = -w*l, -5*l - q = -9. Solve 3*y = -5*d - 0*y - 11, y = -l for d. -1 Let k be (-624)/(-39) + 22/(-2). Solve 0 = -m - 5, a + k*m - 3*m = -12 for a. -2 Let g = 1126 + -2074. Let t be 4/(-26) + g/(-78). Suppose 0 = -13*w + 7*w + t. Solve -w*o - 3*h - 18 = 2*h, -o - h = 3 for o. 1 Let b(l) = -l**3 + 7*l**2 - 46*l + 324. Let i be b(7). Solve 2 = -4*j - 2*u, -3*j = i*u - 8 + 9 for j. -1 Suppose -11*h + 478 = 82. Suppose -4*y = -16*y + h. Solve -2*p - 1 = 3*g + y*p, g = -2*p for g. -2 Suppose -t - 2*p + 14 = 0, 96*t - 92*t + 3*p - 31 = 0. Solve 2*b = t*v - 16, 22*v - 17*v + 5*b = 35 for v. 5 Let c be 2 + (0 - -2) + -14 + 13. Suppose 0 = c*v - 3*h - 15, 5*h - 6*h - 17 = -4*v. Solve -3*u = b - u + 15, -v*b - 2*u - 30 = 0 for b. -5 Let i = -25 + 32. Suppose -i*y = -5*y - 22. Let g = y + -11. Solve -f = d + 5 + 2, 5*d - 4*f - 1 = g for d. -3 Let i(j) be the first derivative of j**3 + j**2/2 + 2*j + 7. Let f be i(-1). Suppose 0 = -7*v + 6*v + f. Solve -v*l + 5 = -4*s - 3, -10 = 2*s for l. -3 Let v be 13/((-273)/2926)*3. Let u = v + 427. Solve -4*k = 3*w + u - 0, -3*k - 11 = -2*w for w. 1 Let s be
{ "pile_set_name": "DM Mathematics" }
14 What is the highest common factor of 1257 and 82543? 419 Calculate the highest common factor of 159 and 2114594. 53 What is the highest common divisor of 84 and 59500? 28 Calculate the greatest common divisor of 1158624 and 432. 432 What is the greatest common divisor of 108 and 1052? 4 Calculate the highest common factor of 1816443 and 18. 9 What is the highest common divisor of 10 and 20530? 10 What is the highest common divisor of 21 and 54579? 21 What is the greatest common divisor of 9712 and 32? 16 Calculate the greatest common factor of 67841 and 2653. 379 What is the greatest common factor of 16 and 493616? 16 Calculate the highest common factor of 247927 and 1107. 41 What is the greatest common factor of 211038 and 102? 102 What is the greatest common divisor of 2340 and 80100? 180 Calculate the greatest common divisor of 746 and 129431. 373 What is the greatest common factor of 16212 and 72? 12 Calculate the highest common divisor of 32266 and 1768. 442 What is the highest common factor of 2646 and 798? 42 What is the greatest common factor of 95 and 91504? 19 What is the greatest common factor of 11 and 109219? 11 Calculate the highest common factor of 586814 and 826. 118 What is the highest common factor of 2869976 and 8? 8 What is the highest common divisor of 77 and 265573? 77 What is the greatest common divisor of 3258910 and 30? 10 What is the highest common divisor of 981 and 177561? 981 What is the highest common factor of 32837 and 140? 7 Calculate the highest common divisor of 374190 and 30. 30 What is the highest common factor of 10890 and 2955? 15 What is the greatest common factor of 24 and 26616? 24 Calculate the greatest common divisor of 1362 and 120. 6 Calculate the greatest common factor of 19428 and 12. 12 What is the greatest common factor of 959 and 4297279? 959 Calculate the greatest common divisor of 1096088 and 777. 259 Calculate the highest common divisor of 433883 and 1. 1 What is the greatest common divisor of 242 and 1065878? 22 What is the greatest common factor of 216 and 670005? 27 Calculate the greatest common divisor of 1902 and 806. 2 What is the greatest common factor of 3842 and 2? 2 Calculate the greatest common divisor of 24 and 13137. 3 What is the highest common divisor of 246 and 182? 2 What is the highest common divisor of 37 and 129241? 37 What is the highest common divisor of 1075 and 122335? 215 Calculate the highest common divisor of 8 and 227880. 8 What is the highest common factor of 575 and 100075? 25 Calculate the highest common factor of 6345 and 52170. 705 Calculate the highest common factor of 5174 and 191637. 199 What is the highest common divisor of 83 and 1812637? 83 Calculate the highest common divisor of 46494 and 1890. 378 Calculate the highest common divisor of 406 and 1450. 58 Calculate the highest common factor of 135818 and 118. 118 Calculate the greatest common factor of 341 and 6563227. 341 Calculate the greatest common divisor of 1 and 16444. 1 Calculate the greatest common factor of 96 and 71376. 48 Calculate the highest common divisor of 9843 and 1377. 51 What is the highest common divisor of 2864 and 184? 8 What is the greatest common factor of 555 and 195? 15 What is the greatest common divisor of 30144 and 168? 24 Calculate the highest common factor of 4425 and 6372. 177 Calculate the highest common divisor of 559 and 18748. 43 What is the greatest common factor of 10160 and 800? 80 What is the highest common divisor of 404 and 1221797? 101 Calculate the highest common factor of 7680 and 542400. 960 What is the greatest common factor of 10 and 194410? 10 Calculate the highest common factor of 797052 and 3. 3 Calculate the highest common factor of 2623 and 110639. 43 Calculate the highest common factor of 123511 and 29. 29 What is the highest common divisor of 4849 and 37673? 373 What is the highest common factor of 84 and 4044? 12 What is the greatest common factor of 16 and 72312? 8 What is the greatest common factor of 1436 and 459161? 359 Calculate the highest common divisor of 335340 and 1495. 115 Calculate the highest common divisor of 2124 and 9971. 59 What is the greatest common factor of 1650 and 55110? 330 Calculate the highest common factor of 812 and 8208508. 812 Calculate the greatest common factor of 2266 and 16566. 22 Calculate the greatest common factor of 104 and 11479. 13 What is the greatest common divisor of 66 and 4812918? 66 What is the greatest common divisor of 928580 and 116? 116 Calculate the highest common factor of 18 and 2988504. 18 What is the greatest common divisor of 641696 and 64? 32 Calculate the highest common factor of 176 and 14476. 44 What is the highest common factor of 324 and 2952? 36 Calculate the greatest common divisor of 61593 and 1911. 147 What is the highest common divisor of 16 and 24176? 16 What is the greatest common divisor of 50384 and 100232? 536 What is the highest common divisor of 68211 and 1209? 39 What is the greatest common divisor of 3619 and 15463? 329 What is the greatest common factor of 8 and 7816? 8 Calculate the highest common divisor of 135 and 2031021. 27 What is the highest common factor of 129 and 15007? 43 What is the greatest common divisor of 745664 and 16? 16 What is the highest common factor of 5390 and 805? 35 Calculate the greatest common factor of 12 and 20204. 4 Calculate the greatest common divisor of 18 and 17386. 2 What is the highest common factor of 3652 and 22352? 44 Calculate the greatest common factor of 6370 and 1170. 130 What is the greatest common factor of 99 and 331281? 9 What is the highest common factor of 1540 and 530? 10 Calculate the highest common divisor of 891149 and 2087. 2087 What is the highest common factor of 72 and 3624? 24 What is the greatest common divisor of 286 and 69498? 286 What is the highest common divisor of 4708 and 1333541? 1177 Calculate the highest common factor of 724 and 34933. 181 Calculate the highest common factor of 705948 and 156. 12 Calculate the highest common factor of 244455 and 17415. 645 What is the highest common factor of 577 and 808? 1 What is the greatest common divisor of 2348 and 271781? 587 Calculate the greatest common factor of 16864 and 135904. 992 What is the highest common divisor of 13284 and 378? 54 What is the highest common factor of 2349 and 13851? 81 What is the greatest common divisor of 216 and 3341376? 72 Calculate the highest common factor of 194584 and 208. 104 What is the greatest common factor of 33 and 384? 3 Calculate the highest common divisor of 107374 and 2516. 74 Calculate the highest common divisor of 574 and 7168. 14 What is the highest common divisor of 6956 and 193828? 188 What is the highest common factor of 2568 and 15? 3 What is the greatest common factor of 4 and 3584748? 4 What is the greatest common factor of 2907 and 3249? 171 What is the greatest common divisor of 6 and 8322? 6 What is the greatest common factor of 999557 and 92? 23 What is the highest common divisor of 357 and 2457231? 357 What is the greatest common factor of 10640 and 28272? 304 Calculate the highest common divisor of 1081 and 12604. 23 What is the highest common divisor of 73 and 178193? 73 Calculate the greatest common factor of 154241 and 5848. 731 What is the highest common divisor of 100099 and 31? 31 What is the greatest common factor of 6830 and 10? 10 What is the greatest common factor of 145475 and 100? 25 What is the highest common factor of 7429 and 37? 1 What is the greatest common factor of 32867 and 115? 23 What is the highest common divisor of 188 and 73132? 188 Calculate the greatest common factor of 156 and 37856. 52 What is the greatest common factor of 75 and 324? 3 Calculate the highest common factor of 1952 and 44042. 122 Calculate the highest common divisor of 61747 and 7. 7 What is the greatest common factor of 94710 and 1995? 105 What is the highest common factor of 1990 and 470? 10 Calculate the greatest common factor of 980793 and 88. 11 What is the highest common factor of 56 and 258692? 28 What is the greatest common divisor of 270128 and 192? 16 What is the highest common factor of 165836 and 572? 44 Calculate the highest common divisor of 528 and 174768. 528 What is the highest common
{ "pile_set_name": "DM Mathematics" }
- 9/2*m**3 + 35/6*m**2 = 0. What is m? -6, -5, -1, 2 Let u(i) be the first derivative of i**5/45 + 43*i**4/36 + 440*i**3/27 - 242*i**2/9 + 1932. Find h, given that u(h) = 0. -22, 0, 1 Let r(i) be the first derivative of -i**8/420 - i**7/210 + i**6/30 + i**5/6 + i**4/3 - 36*i**3 - 41. Let d(g) be the third derivative of r(g). Factor d(l). -4*(l - 2)*(l + 1)**3 Factor -56*j**2 + 2 - 53*j**2 - 44*j**2 + 151*j**2. -2*(j - 1)*(j + 1) Solve 6731 - 3047 + 32388 + 17106 - 428*i + i**2 - 7382 = 0. 214 Suppose 9*l = 7*l. Let h(v) = -4593*v - 27554. Let r be h(-6). Suppose -4/5*c**3 + 14/5*c**r + 0 + l*c**2 + 0*c = 0. Calculate c. 0, 2/7 Let q(y) be the first derivative of -1/360*y**5 + 0*y**3 + 0*y + 1/48*y**4 + 3/2*y**2 - 1. Let c(w) be the second derivative of q(w). Factor c(j). -j*(j - 3)/6 Let r = 58 + -56. Factor 14*o**5 + 2*o**4 + 0*o**2 - 11*o**5 + 15*o**3 - 6*o**r - 14*o**4. 3*o**2*(o - 2)*(o - 1)**2 Determine w so that 4/9*w**4 - 10/3*w**3 + 20/3*w**2 - 8/3 - 10/9*w = 0. -1/2, 1, 3, 4 Let s be 75/3500*6/9. Let p(n) be the third derivative of 0 - 8*n**2 + 13/300*n**5 + 1/40*n**4 + 7/200*n**6 + 0*n**3 + s*n**7 + 1/420*n**8 + 0*n. Factor p(j). j*(j + 1)**3*(4*j + 3)/5 Solve 0*y - 72 - 2*y - 1854*y**2 + 14*y**3 + 1926*y**2 - 12*y**3 = 0. -36, -1, 1 Suppose 4*c - 1 = y, 2*c + 1 = y - 0*y. Let -388 + 196 - 3*d**4 - y*d**2 + 192 + 6*d**3 = 0. Calculate d. 0, 1 Let r be (176/220)/((-2)/(-5) - 0). Suppose 4*g + 3*p = -2*p + 27, g + r*p = 9. Factor -15*k + 2*k**3 + 5*k**3 + 12*k**g - 10*k**4 + 6*k**3 + 20*k**2. -5*k*(k - 3)*(k + 1)*(2*k - 1) Let n(s) = 7*s + 17. Let u be n(7). Suppose 2*h = 6, -u = -a - 2*h - 15. Factor 45*f + 5*f**2 - a*f - 20. 5*(f - 2)*(f + 2) Let t(d) be the second derivative of d**4/78 + 2*d**3/13 - 16*d**2/13 - 13*d - 21. Determine k so that t(k) = 0. -8, 2 Let 81/4 + 63/4*r - 1/4*r**5 - 31/2*r**3 + 17/4*r**4 - 49/2*r**2 = 0. Calculate r. -1, 1, 9 Let n(l) be the second derivative of -l**6/75 + 44*l**5/5 - 16133*l**4/10 - 88*l**3/3 + 9680*l**2 - 1875*l. What is g in n(g) = 0? -1, 1, 220 Let t(m) = 11*m**2 + 8*m - 19. Let q be t(5). Factor -297*h**5 - 2*h**3 + q*h**5 + 3*h**3. -h**3*(h - 1)*(h + 1) Suppose -37 = 6*c + 59. Let q be -4 - (c/(-24) + -6). Let 4/3*i + 4/3 - q*i**3 - 4/3*i**2 = 0. Calculate i. -1, 1 Let v(y) = -4*y**2 - 2*y - 1. Let a(t) = -51*t**2 + 333*t + 1464. Let i(c) = a(c) - 12*v(c). What is l in i(l) = 0? -4, 123 Let x(q) = 162*q - 37098. Let m be x(229). Suppose 0*y + m + 3/2*y**4 + 9/2*y**5 + 0*y**2 - 3*y**3 = 0. What is y? -1, 0, 2/3 Let p(v) be the first derivative of 2*v**5/65 - 51*v**4/13 + 400*v**3/39 + 6996. Factor p(z). 2*z**2*(z - 100)*(z - 2)/13 Let u(b) be the second derivative of 12/5*b**2 + 13/15*b**3 + 1/30*b**4 - 62*b + 0. Find h such that u(h) = 0. -12, -1 Solve 0 + 2*h - 7/2*h**3 + 2*h**2 - 2*h**4 + 3/2*h**5 = 0 for h. -1, -2/3, 0, 1, 2 Let m(w) = -2*w**3 - 3*w**2. Let k(t) = 7*t**3 + 568*t**2 + 5*t - 550. Let d(i) = -k(i) - 6*m(i). Solve d(o) = 0 for o. -1, 1, 110 Let b(s) be the first derivative of 10/7*s**2 + 1/21*s**3 + 32 + 0*s. Factor b(f). f*(f + 20)/7 Let p(t) be the first derivative of -t**3/2 + 2721*t**2/4 + 1362*t - 310. Suppose p(g) = 0. Calculate g. -1, 908 Let f(z) = 4*z**3 + 120*z**2 - 3758*z + 19796. Let q(b) = -53*b**3 - 1541*b**2 + 48853*b - 257346. Let j(h) = -27*f(h) - 2*q(h). Find p, given that j(p) = 0. -99, 10 Let 1182/7*a**2 + 3/7*a**5 - 1152/7 - 30/7*a**4 + 96/7*a - 99/7*a**3 = 0. Calculate a. -6, -1, 1, 8 Let k be (3 - 148/10)*(-2 + -3). Suppose -2*l + k = 47. Factor -15*d**2 + l*d**3 - 21*d**3 + 20 + 8*d**3 + 12*d**3. 5*(d - 2)**2*(d + 1) Let d(p) be the second derivative of 0*p**4 + 5/42*p**7 - 8 - 4*p + 4*p**5 + 0*p**3 + 0*p**2 + 4/3*p**6. Find s such that d(s) = 0. -4, 0 Let b(h) be the second derivative of -3/10*h**3 + 0*h**2 + 3/100*h**5 - 1/10*h**4 + 234*h + 0. Factor b(p). 3*p*(p - 3)*(p + 1)/5 Let r(f) = -9*f**2 - 282*f - 588. Let s(y) = -y**2 - 6. Let u(o) = -r(o) + 6*s(o). Factor u(k). 3*(k + 2)*(k + 92) Let s(c) be the third derivative of 1/112*c**8 + 0 - 1/35*c**7 + 9/10*c**5 + 27/8*c**4 - 51*c**2 + 0*c + 0*c**3 - 3/10*c**6. Solve s(k) = 0. -3, -1, 0, 3 Let x(j) be the third derivative of j**2 - 3/80*j**5 - 9 + 0*j + 0*j**3 - 1/320*j**6 + 7/64*j**4. Factor x(c). -3*c*(c - 1)*(c + 7)/8 Solve -38/7*q - 132/7 + 2/7*q**2 = 0 for q. -3, 22 Let x(r) be the second derivative of -2 + 328/27*r**3 - 452/27*r**4 - 12*r**7 - 119/45*r**5 - 32/9*r**2 + 346/15*r**6 + 79*r. Let x(p) = 0. Calculate p. -4/7, 2/9, 1/2, 1 Let y(a) be the second derivative of -a**6/105 + a**5/70 + 32*a**4/21 - 64*a**3/21 - 368*a. Determine j, given that y(j) = 0. -8, 0, 1, 8 Let v(n) = -4*n - 123. Let o be v(-30). Let h be o/12*(-48)/60. Factor 16/5 + 8/5*f + h*f**2. (f + 4)**2/5 Let c(i) be the first derivative of -i**4/4 - i**3 + 2*i**2 + 5*i - 20. Let a be c(-4). Factor 39*k + 16*k**2 - k**2 - 59*k + a*k**3. 5*k*(k - 1)*(k + 4) Let k(u) be the first derivative of u**7/168 + u**6/72 - u**5/12 + 2*u**3 + 7*u - 4. Let q(y) be the third derivative of k(y). Find x, given that q(x) = 0. -2, 0, 1 Factor 6*x**2 + 386 + 184*x**3 - 556*x - 18 + 76*x**4 - 236*x**4 + 82*x**4 + 76*x**4. -2*(x - 92)*(x - 1)**2*(x + 2) Let n(q) be the first derivative of -q**4/27 - 4*q**3/3 - 18*q**2 + 167*q - 135. Let l(u) be the first derivative of n(u). Solve l(t) = 0 for t. -9 Factor 1/5*b**2 + 99/5 + 36/5*b. (b + 3)*(b + 33)/5 What is k in -124/7 + 2/7*k**2 - 58/7*k = 0? -2, 31 Let w be (3085/4319 + 1/(-7))/(6/21). Factor -1/8*f**w - 1 + 3/4*f. -(f - 4)*(f - 2)/8 Let i = 199147/10 - 39827/2. Factor -i*o**3 + 0 + 0*o + 4/5*o**4 + 2/5*o**2. 2*o**2*(o - 1)*(2*o - 1)/5 Factor 4444 - 1073*d - 1419*d + 266*d + 4*d**2 - 11*d**2 + 9*d**2. 2*(d - 1111)*(d - 2) Let m = 85285/4 - 21319. Find u such that 7/4*u - 1/2 + 11/4*u**2 - m*u**4 - 7/4*u**3 = 0. -1, 2/9, 1 Solve 867259*j**3 - 320*j + 144 + 92*j - 867267*j**3 - 116*j**2 = 0 for j. -12, -3, 1/2 Let t(x) be the first derivative of 108 - 35*x**2 - 5/4*x**4 + 40*x + 35/3*x**3. Factor t(b). -5*(b - 4)*(b - 2)*(b - 1) Let x(n) be the first derivative of n**4/16 - 17*n**3/12 + 11*n**2 - 36*n + 4110. Factor x(i). (i - 9)*(i - 4)**2/4 Let t(p) = -125*p**3 - 70*p**2 - 55*p - 165. Let z(d) = 9*d**3 + 5*d**2 + 4*d + 12. Let w(m) = 4*t(m) + 55*z(m). Factor w(f). -5*f**2*(f + 1) Let i(s) be the second derivative of 89373/14*s**2 + 93/28*s**4 + 2883/14*s**3 + 2*s - 1 + 3/140*s**5. Solve i(t) = 0 for t. -31 Let z(v) = 7*v - 7. Let i be z(1). Suppose -5*d - y + 3*y + 12 = i, 2*d + y = 3. Factor 20*u - 15*u - 5*u**d - 24*u - 125 - 31*u. -5*(u + 5)**2 Let c = 23 + -21. Let f(z) be the first derivative of -2*z - 1/6*z**3 - 16 + 5/4*z**c. Factor f(d). -(d - 4)*(d - 1)/2 Let s be -8 + -58 - (0 + -1)*0. Let v be 12/s + (-255)/(-11). Determine l so that 30*l**2 + 250 - 127*l + 26*l**3 - 28*l**3 - v*l = 0. 5 Let u be 1136/44 - 30/(-165). Suppose u*v = 36 + 16. Factor -1 - v*y - 5/4*y**2 - 1/4*y**3. -(y + 1)*(y + 2)**2/4 Let p(n) be the third derivative of -n**8/672 + 25*n**7/84 - 23*n**6/3 + 268*n**5/3 - 1760*n**4/3 + 6976*n**3/3 + 3*n**2 - 1757. Factor p(v). -(v - 109)*(v - 4)**4/2 Let z be 3 + 64/(-18) - -1. Suppose -i = -2*l - 15, -3*i + 4*l - 18 = -53. Let z*g**4 + 2*g**3 - 4/9*g**2 + 0*g - 2*g**i + 0 = 0. What is g? -1, 0, 2/9, 1 Suppose -139*g = 3*v - 142*g + 9, 5*v = 4*g - 9. Factor 6*f**2 + 104/3 - 32*f + 2/3*f**v. 2*(f - 2)**2*(f + 13)/3 Factor 600*p - 3*p**2 + 0*p**2 + 3657 - 1628*p + 426 - 3052*p. -3*(p - 1)*(p + 1361) Let k(d) = 3*d**2 - d - 3. Let o(m) = -34*m**2 + 381*m - 34192. Let h(x) = -22*k(x) - 2*o(x). Determine a so that h(a) = 0. 185 Let q = 127 - 49. Let l = q + -76. Factor -2*i**l - 5*i - 9*i**2 - 5*i**3 + i**2. -5*i*(i + 1)**2 Let y(x) be the third derivative of -x**6/300 - 37*x**5/75 - 43*x**4/12 - 142*x**3/15 - 91*x**2 + 10*x. Suppose y(q) = 0. Calculate q. -71, -2, -1 Let h(w) = 4*w**2 + 1296*w - 106244. Let j(y) = -y**2 + y - 4. Let m(u) = h(u) + 8*j(u). Factor m(d). -4*(d - 163)**2 Let t(b) be the first derivative of -b**4/8 + 11*b**3/2 - 8*b**2 - 1232. Find w such that t(w) = 0. 0, 1, 32 Let b = -15 + 20. Factor 96*s - 35 - 37*s**2 + 94*s - 80*s + 50*s**3 - b*s**4 - 83*s**2. -5*(s - 7)*(s - 1)**3 Let k = 175 - 157. Let 38*n**2 + k*n**2 - 54*n**2 - 6*n - 12*n + 16
{ "pile_set_name": "DM Mathematics" }
vided by -51696. 41/51696 Divide -23870749 by -7. 3410107 238254487 divided by 1 238254487 What is 23129714 divided by -11564857? -2 What is 0 divided by 16554852? 0 Calculate -13106058 divided by 194. -67557 Divide -843188 by 14. -421594/7 -3789557 divided by -199 19043 Calculate -72 divided by 17205. -24/5735 -886 divided by 6190 -443/3095 What is 10 divided by -1826927? -10/1826927 Divide 178929568 by 11183098. 16 -80498500 divided by 643988 -125 Divide -48116 by 247. -48116/247 What is -458358 divided by 237? -1934 Calculate 36177 divided by -1334. -36177/1334 12 divided by 520813 12/520813 Divide -4 by -1964487. 4/1964487 Divide -462558285 by -6231. 74235 What is -166864 divided by 1656? -20858/207 Divide 12980160 by 649008. 20 Divide 30293274 by 6. 5048879 What is -23832900 divided by -29100? 819 305027167 divided by 6 305027167/6 What is -34320460 divided by 6864092? -5 274551252 divided by 12 22879271 Divide -156234523 by 3633361. -43 Calculate 9915583 divided by 2. 9915583/2 Divide -3106 by 1452. -1553/726 Divide 2046661 by 3. 2046661/3 Calculate 7617878 divided by 5. 7617878/5 What is -2746916 divided by -50? 1373458/25 Calculate 37895 divided by 12. 37895/12 Calculate 7351854 divided by -72077. -102 What is 158570 divided by 1570? 101 Divide -1610686133 by -763. 2110991 What is 11474676 divided by -181? -63396 Divide -54 by 503352. -3/27964 What is -138555010 divided by -2885? 48026 Divide 11 by 92862. 1/8442 Divide 4753585 by 5. 950717 5 divided by -5302181 -5/5302181 4357878 divided by -5 -4357878/5 What is -136942113 divided by -5929? 23097 Calculate -22622751 divided by -603. 37517 Calculate 55186480 divided by -3449155. -16 Divide 499436 by 100. 124859/25 Divide 6453438 by 7701. 838 -43104301 divided by 233 -184997 What is -9943 divided by -1069? 9943/1069 -43070927 divided by 21041 -2047 Calculate -659418996 divided by 52194. -12634 Divide -199064716 by 75892. -2623 What is -9699840 divided by 4608? -2105 -5000552 divided by -2 2500276 4 divided by -49106674 -2/24553337 What is 710995065 divided by 31453? 22605 Divide -160080042 by 53360014. -3 0 divided by -28224812 0 -17612599 divided by -29 607331 What is -17654970 divided by 3? -5884990 13161516 divided by -1096793 -12 Divide 2486 by 23060. 1243/11530 521988 divided by -7 -521988/7 Calculate 593 divided by 24098. 593/24098 Divide -861490 by -160. 86149/16 Divide -106547308 by -47. 2266964 Divide -819792209 by 1. -819792209 What is 13071990 divided by -2614398? -5 Divide 15834082 by 5. 15834082/5 75 divided by 5711548 75/5711548 Divide -2003336 by -8. 250417 Calculate 4 divided by -4831251. -4/4831251 Divide 15136608 by -7568304. -2 Divide -2856030 by -2573. 1110 Calculate -29704185 divided by -17. 1747305 What is -503471 divided by 12? -503471/12 What is -2 divided by 3140771? -2/3140771 Calculate 181191832 divided by 6. 90595916/3 What is -4087373700 divided by -6? 681228950 -1519524 divided by 4 -379881 Divide 666907124 by -2. -333453562 What is 38 divided by 424619? 38/424619 Divide -18469 by 89808. -18469/89808 What is 2202423 divided by 14? 2202423/14 Divide 388 by 165475. 388/165475 -49373948 divided by 6 -24686974/3 What is 119482 divided by -4? -59741/2 Divide 5 by -3301823. -5/3301823 23 divided by -129442 -23/129442 Calculate -13173438 divided by -41. 13173438/41 Calculate 124283 divided by -93. -124283/93 -21403564 divided by -3556 6019 -152558805 divided by -21 7264705 What is 1 divided by 8441207? 1/8441207 Divide -7866 by -85631. 7866/85631 Divide 160549494 by -3661. -43854 What is -8320 divided by 73? -8320/73 What is -1378020 divided by -5404? 255 Calculate -170 divided by 1129473. -170/1129473 30617210 divided by -2 -15308605 Calculate -3867552 divided by -39. 99168 Divide -133266164 by 9473. -14068 What is 3 divided by -4732902? -1/1577634 -2 divided by 4451499 -2/4451499 -14654100 divided by -976940 15 Divide -16865518 by -1. 16865518 What is 19524726 divided by -117? -166878 What is -131 divided by 385651? -131/385651 Calculate -144905072 divided by 696659. -208 Divide -36514550 by -167. 218650 Divide -2 by 5031002. -1/2515501 Calculate -68115025 divided by -13623005. 5 Divide 11 by -1167003. -11/1167003 What is -548748 divided by -5? 548748/5 What is -196 divided by -60169? 196/60169 Calculate -166464771 divided by -33. 5044387 Calculate -23866572 divided by -12. 1988881 Calculate -5288814 divided by 2. -2644407 What is 28873467 divided by -9? -3208163 Calculate -11577231624 divided by 6. -1929538604 What is -441762888 divided by -147254296? 3 17612916 divided by -74631 -236 What is -5559 divided by -36308? 5559/36308 Calculate 2944734 divided by -51662. -57 Calculate 26910 divided by 3765. 1794/251 -86515375 divided by -1135 76225 Divide 22973 by -42. -22973/42 -84 divided by 58285 -84/58285 What is 559616355 divided by 4? 559616355/4 Calculate -5 divided by -4287137. 5/4287137 -2 divided by -1471836 1/735918 Divide 12845520 by -270. -47576 Calculate 168 divided by -607821. -56/202607 Divide -57184500 by 300. -190615 Divide 0 by -2157029. 0 306 divided by 11918 153/5959 6962422 divided by 151357 46 -14640052 divided by -90932 161 What is -10263770 divided by 5? -2052754 -67872467 divided by 481 -141107 1182 divided by 11025 394/3675 -184 divided by 788422 -92/394211 What is 194756156 divided by 54523? 3572 Calculate -72404750 divided by 2. -36202375 What is -52482 divided by 204? -8747/34 1355 divided by -426490 -271/85298 Divide -31765396 by -4. 7941349 Calculate 3 divided by -25181245. -3/25181245 Calculate 14146445 divided by -2829289. -5 What is -27122805 divided by 4? -27122805/4 What is 6110 divided by 108769? 6110/108769 What is 21970466 divided by -10985233? -2 -1 divided by -5343968 1/5343968 What is 157742800 divided by 31548560? 5 Divide -5703828 by -5. 5703828/5 377186958 divided by -6 -62864493 Divide -69 by -753906. 23/251302 Divide 606649278 by 2614. 232077 What is 150730 divided by -5? -30146 77703 divided by 221 77703/221 3689805 divided by -15 -245987 Calculate -4981340 divided by 142324. -35 Calculate -81715347 divided by -171311. 477 Calculate 290332887 divided by 2067. 140461 Divide -836076 by -57. 14668 -37114870 divided by 5 -7422974 -219408 divided by 834 -36568/139 Divide 214 by 2831. 214/2831 Calculate -53444 divided by 212. -13361/53 Divide 12714980 by 68. 186985 -280942506 divided by -111618 2517 12520514 divided by -2 -6260257 What is -20137888 divided by 5034472? -4 What is -6154 divided by 107? -6154/107 What is -18672273 divided by 51? -366123 What is 11535 divided by -1254? -3845/418 Divide 18068721 by 11. 1642611 Calculate -127126308 divided by 978. -129986 What is -22788 divided by 19025? -22788/19025 Divide 422859 by -432. -140953/144 What is -10892190 divided by -5? 2178438 Divide -3 by 110754425. -3/110754425 2 divided by 2198483 2/2198483 1 divided by -20038716 -1/20038716 Calculate 3 divided by -47908829. -3/47908829 Calculate 68763175 divided by 4325. 15899 Divide 306456507 by 1. 306456507 What is -140781399 divided by 3? -46927133 Divide 129010108 by -32252527. -4 Divide 4 by 121320956. 1/30330239 What is 5 divided by -47509830? -1/9501966 Calculate 27832372 divided by -8. -6958093/2 What is 6802 divided by -242? -3401/121 4519581 divided by 1661 2721 68890 divided by -51 -68890/51 -31628550 divided by -6 5271425 -11633223 divided by 5 -11633223/5 Divide -1199166 by -6. 199861 Divide 336 by -335933. -336/335933 1712647692 divided by 21 81554652 Divide 90 by -5630645. -18/1126129 What is -2562696 divided by -854232? 3 What is -54385 divided by 2241? -54385/2241 Divide 210767 by 81. 210767/81 Divide 32750848 by 96896. 338 55 divided by 35427 55/35427 -3 divided by -109396 3/109396 Divide 5577075 by -265575. -21 Divide -4088711 by -11. 371701 -4168 divided by 8942 -2084/4471 Divide -210217 by 88. -210217/88 10281750 divided by 5140875 2 -166 divided by 112198 -83/56099 What is -6078505 divided by -83? 73235 Divide -29975610 by -856446. 35 Calculate -6140 divided by -1140. 307/57 Calculate -11794951 divided by 9. -11794951/9 Divide -8429142 by 8429142. -1 -93388611 divided by 759257 -123 What is -2 divided by -280138? 1/140069 Divide 181159528 by 233453. 776 What is -6357870 divided by 77535? -82 What is -754
{ "pile_set_name": "DM Mathematics" }
f -282998, -565994, -848990, -1131986? -282996*k - 2 What is the m'th term of 250, 2037, 6884, 16321, 31878? 255*m**3 + 2*m - 7 What is the p'th term of 482, 898, 1326, 1772, 2242, 2742, 3278, 3856? p**3 + 409*p + 72 What is the d'th term of 51590, 51511, 51380, 51197, 50962, 50675, 50336? -26*d**2 - d + 51617 What is the r'th term of -1627, -2158, -1591, 74? 549*r**2 - 2178*r + 2 What is the z'th term of 80, -215, -924, -2257, -4424, -7635, -12100? -35*z**3 + 3*z**2 - 59*z + 171 What is the l'th term of -162, -189, -244, -333, -462, -637, -864? -l**3 - 8*l**2 + 4*l - 157 What is the i'th term of 4894, 4883, 4872, 4861, 4850? -11*i + 4905 What is the y'th term of -44, -78, -116, -158, -204, -254, -308? -2*y**2 - 28*y - 14 What is the x'th term of 2215, 8891, 20025, 35617? 2229*x**2 - 11*x - 3 What is the c'th term of -358460, -358467, -358476, -358487? -c**2 - 4*c - 358455 What is the g'th term of 3486, 7090, 10692, 14292, 17890, 21486? -g**2 + 3607*g - 120 What is the i'th term of 12054, 24088, 36122, 48156, 60190, 72224? 12034*i + 20 What is the x'th term of 4089, 8168, 12249, 16332, 20417? x**2 + 4076*x + 12 What is the f'th term of 630, 2473, 5536, 9813, 15298? -f**3 + 616*f**2 + 2*f + 13 What is the w'th term of 151566, 606350, 1364324, 2425488, 3789842, 5457386? 151595*w**2 - w - 28 What is the o'th term of 623, 2510, 5659, 10070, 15743, 22678? 631*o**2 - 6*o - 2 What is the c'th term of -2370, -2054, -1528, -792, 154? 105*c**2 + c - 2476 What is the w'th term of 489, 1971, 4429, 7851, 12225, 17539, 23781? -2*w**3 + 500*w**2 - 4*w - 5 What is the f'th term of -1928, -1714, -1358, -860, -220, 562, 1486? 71*f**2 + f - 2000 What is the p'th term of -722, -1457, -2196, -2939, -3686, -4437? -2*p**2 - 729*p + 9 What is the l'th term of 57, 99, 107, 63, -51, -253, -561? -3*l**3 + l**2 + 60*l - 1 What is the l'th term of -101, -270, -549, -938? -55*l**2 - 4*l - 42 What is the b'th term of -3824, -3822, -3820, -3818, -3816? 2*b - 3826 What is the b'th term of -818573, -1637146, -2455719, -3274292, -4092865, -4911438? -818573*b What is the j'th term of 339, 450, 561, 672? 111*j + 228 What is the u'th term of -708, -1086, -1158, -930, -408, 402, 1494, 2862? -u**3 + 159*u**2 - 848*u - 18 What is the u'th term of 107, 243, 419, 641, 915, 1247? u**3 + 14*u**2 + 87*u + 5 What is the d'th term of -2874, -6109, -9344, -12579? -3235*d + 361 What is the i'th term of -4351, -8714, -13079, -17446, -21815? -i**2 - 4360*i + 10 What is the n'th term of 193, 552, 879, 1168, 1413? -n**3 - 10*n**2 + 396*n - 192 What is the v'th term of -246, -287, -352, -435, -530, -631, -732? v**3 - 18*v**2 + 6*v - 235 What is the d'th term of -1008, -1035, -1062, -1089? -27*d - 981 What is the q'th term of -182, -495, -1016, -1745, -2682, -3827, -5180? -104*q**2 - q - 77 What is the f'th term of -301, -332, -421, -598, -893, -1336, -1957? -5*f**3 + f**2 + f - 298 What is the u'th term of -17273, -34540, -51807, -69074, -86341, -103608? -17267*u - 6 What is the v'th term of 52845, 52839, 52833, 52827, 52821, 52815? -6*v + 52851 What is the b'th term of 366224, 732447, 1098670? 366223*b + 1 What is the z'th term of -20785, -41476, -62171, -82870, -103573, -124280, -144991? -2*z**2 - 20685*z - 98 What is the m'th term of 42149, 42129, 42097, 42053, 41997? -6*m**2 - 2*m + 42157 What is the m'th term of -534, -676, -790, -864, -886, -844, -726, -520? 2*m**3 + 2*m**2 - 162*m - 376 What is the j'th term of -1126, -4259, -9474, -16765, -26126, -37551? j**3 - 1047*j**2 + j - 81 What is the z'th term of -1644, -6551, -14730, -26181, -40904? -1636*z**2 + z - 9 What is the v'th term of 358, 378, 410, 454, 510? 6*v**2 + 2*v + 350 What is the l'th term of -18291, -18297, -18303, -18309, -18315? -6*l - 18285 What is the i'th term of -5923, -5925, -5931, -5941? -2*i**2 + 4*i - 5925 What is the o'th term of 15831, 15832, 15833, 15834, 15835, 15836? o + 15830 What is the t'th term of 49431, 197645, 444669, 790503? 49405*t**2 - t + 27 What is the l'th term of -372, -274, -176, -78, 20, 118? 98*l - 470 What is the o'th term of 1335, 1429, 1523? 94*o + 1241 What is the u'th term of -1632, -6534, -14706, -26148? -1635*u**2 + 3*u What is the f'th term of -610, -2432, -5476, -9748, -15254, -22000, -29992, -39236? -f**3 - 605*f**2 - 4 What is the q'th term of 68, 709, 2456, 5867, 11500, 19913, 31664? 93*q**3 - 5*q**2 + 5*q - 25 What is the x'th term of 26, 39, 102, 245, 498, 891? 5*x**3 - 5*x**2 - 7*x + 33 What is the y'th term of 51393, 102797, 154201? 51404*y - 11 What is the p'th term of 1319, 4356, 9421, 16520, 25659, 36844, 50081, 65376? p**3 + 1008*p**2 + 6*p + 304 What is the z'th term of 379612, 759223, 1138834, 1518445, 1898056, 2277667? 379611*z + 1 What is the v'th term of -3469, -6737, -10005? -3268*v - 201 What is the n'th term of 2301, 2304, 2307? 3*n + 2298 What is the j'th term of 4195, 4196, 4197, 4198? j + 4194 What is the l'th term of 461, 753, 1045, 1337? 292*l + 169 What is the n'th term of -13982267, -13982269, -13982273, -13982279? -n**2 + n - 13982267 What is the l'th term of 227, 434, 603, 716, 755, 702, 539, 248? -3*l**3 - l**2 + 231*l What is the q'th term of 0, -88, -262, -564, -1036, -1720? -7*q**3 - q**2 - 36*q + 44 What is the u'th term of -140, -2, 230, 556, 976? 47*u**2 - 3*u - 184 What is the c'th term of 25, -344, -1339, -3272, -6455? -52*c**3 - c**2 - 2*c + 80 What is the s'th term of 6095376, 6095377, 6095378, 6095379, 6095380, 6095381? s + 6095375 What is the r'th term of 1086, 1077, 1060, 1035? -4*r**2 + 3*r + 1087 What is the f'th term of 20966, 20847, 20726, 20603, 20478, 20351, 20222? -f**2 - 116*f + 21083 What is the a'th term of -659, -555, -443, -323? 4*a**2 + 92*a - 755 What is the r'th term of 8744, 34966, 78670, 139856, 218524, 314674, 428306? 8741*r**2 - r + 4 What is the p'th term of -558, -590, -642, -714, -806, -918? -10*p**2 - 2*p - 546 What is the i'th term of -55, -210, -623, -1420, -2727, -4670, -7375? -21*i**3 - 3*i**2 + i - 32 What is the k'th term of -1917120, -1917121, -1917122, -1917123, -1917124? -k - 1917119 What is the s'th term of -1114, -4335, -9704, -17221, -26886, -38699, -52660? -1074*s**2 + s - 41 What is the l'th term of -37399, -74802, -112211, -149626, -187047? -3*l**2 - 37394*l - 2 What is the s'th term of -3793, -3801, -3789, -3751, -3681? s**3 + 4*s**2 - 27*s - 3771 What is the t'th term of 19111, 19090, 19069, 19048? -21*t + 19132 What is the j'th term of 109, 183, 259, 337, 417, 499? j**2 + 71*j + 37 What is the n'th term of 266, 225, 214, 251, 354, 541, 830? 3*n**3 - 3*n**2 - 53*n + 319 What is the j'th term of -24, 216, 610, 1152, 1836? -j**3 + 83*j**2 - 2*j - 104 What is the l'th term of 6001, 23988, 53975, 95968, 149973, 215996, 294043, 384120? l**3 + 5994*l**2 - 2*l + 8 What is the m'th term of 191, 163, 135? -28*m + 219 What is the c'th term of -23402, -46720, -70038, -93356, -116674? -23318*c - 84 What is the u'th term of 31001, 31015, 31055, 31133, 31261, 31451? 2*u**3 + u**2 - 3*u + 31001 What is the t'th term of -18646, -37294, -55942? -18648*t + 2 What is the i'th term of 13517, 27028, 40523, 53996, 67441, 80852, 94223, 107548? -i**3 - 2*i**2 + 13524*i - 4 What is the j'th term of 586, 1549, 2512? 963*j - 377 What is the x'th term of 13598, 13591, 13570, 13529, 13462, 13363, 13226, 13045? -x**3 - x**2 + 3*x + 13597 What is the u'th term of 122675, 245337, 367999, 490661, 613323, 735985? 122662*u + 13 What is the l'th term of 74, 576, 1898, 4436, 8586, 14744, 23306? 66*l**3 + 14*l**2 - 2*l - 4 What is the h'th term of -735, -732, -727, -720, -711? h**2 - 736 What is the c'th term of 3550, 3608, 3704, 3838, 4010? 19*c**2 + c + 3530 What is the u'th term of -2376, -2355, -2312, -2241, -2136? u**3 + 5*u**2 - u - 2381 What is the s'th term of -353, -409, -485, -587, -721? -s**3 - 4*s**2 - 37*s - 311 What is the w'th term of 754, 715, 676, 637, 598? -39*w + 793 What is the j'th term of 299, 294, 289, 284? -5*j + 304 What is the f'th term of -11183, -11181, -11177, -11171, -11163, -11153, -11141? f**2 - f - 11183 What is the d'th term of -407, -625, -843, -1061, -1279, -1497? -218*d - 189 What is the j'th term of -43641, -87265, -130869, -174453, -218017? 10*j**2 - 43654*j + 3 What is the q'th term of 31940, 31948, 31
{ "pile_set_name": "DM Mathematics" }
of n and q. 660 Let w(i) = -2*i**2 + 2*i + 49. Let q be w(8). What is the common denominator of (71/q)/((-24)/(-9)) and -143/96? 672 Calculate the common denominator of 1928/6*17/(-680) - 2/(-10) and 87/15836. 47508 Let a = 6740302 - 94408619/14. Let p = -3173 - a. Let i = 258079/22 - 11727. Calculate the common denominator of i and p. 154 Let t = -175/12 - -1535/108. Let j = -721/270 - t. Let c = 5767/398 + 2/199. Find the common denominator of j and c. 10 Suppose 193*d = 181*d + 11976. Calculate the smallest common multiple of d and 5. 4990 Let s(b) = -b**3 + 20*b**2 - 3*b - 12. Let j be s(11). Find the common denominator of -33/20 and (-3)/(j/2883) - -8. 580 Suppose -i - 13 + 79 = 5*x, -x = 4*i - 17. Suppose 0 = 5*c + 1333 - x. Calculate the common denominator of 3062/c + 2/11 and -20/11. 132 Let z be (1 + (-4)/6)*(-252)/(-28). Suppose -2*f + 30 = -4*w, -z*w + 0*w = -4*f + 40. What is the smallest common multiple of f and 14? 14 Let q be 2/9 - 645/(-270)*2. Suppose q*u + y = 160, 23*u + 5*y = 24*u - 6. Calculate the lowest common multiple of u and 4. 124 Let i = 1 - 1. What is the common denominator of 3197/9591 + (-106)/(-18) and 0 + (i - (-86)/42)? 63 Find the common denominator of 7922/(-1224) - (-10)/4 and -83/1472. 13248 Let z = -3431/840 - -22/105. Calculate the common denominator of z and 55/(-7)*(-28)/296. 296 Let j = -29489/4326 + 528/103. Find the common denominator of j and 12/54 - (-337)/252. 84 Let f = 598 + -130. Suppose -20*x + 8*x + f = 0. Calculate the least common multiple of x and (-3)/5*(3 - 18). 117 Suppose -d + 4*m = 36, -3*d - 103 = -3*m - 13. Let c = d - -16. What is the common denominator of -4 - -4 - (-62)/c and 19/5? 30 Let x be ((-3)/4)/(37/(-34410)). Let b = -721 + x. Find the common denominator of b and 37/2. 2 Let w(u) = 8*u - 39. Suppose 7*y - 3*y + 3*q = 105, y + 2*q - 30 = 0. Calculate the smallest common multiple of w(6) and y. 72 Let g = 98 + -93. Suppose b = 5*j + 37, g*b - 4*j - 100 = 2*b. Calculate the smallest common multiple of b and 28. 224 Let r = 4400 + -4340. What is the least common multiple of r and 21? 420 Suppose 2848 = 81*c - 12704. Calculate the smallest common multiple of c and 552. 4416 Let v be ((-3069)/4)/((-24)/(-16)). Let t = v - -555. Find the common denominator of t and 3/14. 14 Suppose 9*f = 7*f - 496. What is the common denominator of -1 + (2 - f/12) and 1*3 + (-6266)/2184? 84 Let n = 102622 - 14367147/140. Find the common denominator of n and 89/268. 9380 Let p be -2*(2/(-12) - 45/54). Suppose -36 = -t - 8*t. Suppose -3*b + 3*d - 5*d + 13 = 0, -p*b + t*d - 18 = 0. Calculate the lowest common multiple of 10 and b. 10 Let d = 33/446851 - -77932154161/10724424. Let y = d - 7265. What is the common denominator of y and 161/30? 120 What is the lowest common multiple of 7 - (-73 - 304/19) and 5064? 20256 Suppose 4*x - 9 - 7 = 0. Let o(w) = 22 + 4*w - 24*w + 3*w**2 - x*w**2. What is the lowest common multiple of 10 and o(-21)? 10 What is the common denominator of 101/3306 and (-15)/(-18) - (-6 + 814/48)? 13224 Let k be -1*(-2 - (-40113197)/19698527). Let v = k + -2/42181. Let y = 19071/10741 + v. Calculate the common denominator of y and 45/7. 161 Let c = -25730392/181665 + 1558/11. Let d = c - 1106381/1023930. Find the common denominator of 29/16 and d. 496 Let h = 939923 - 62037079/66. Let l = h + -299/22. Let x = l - -385/9. Calculate the common denominator of x and -151/18. 18 Suppose -2*c - 3*g = -g - 3436, 0 = 4*g. Let m be 359/(-2154)*3/((-6)/(-20858)). Let u = m + c. Find the common denominator of 55/3 and u. 6 Let z = 1095571/30 - 36523. Find the common denominator of z and 127/66. 330 Suppose -8*y + 19 = g - 4*y, -g - 2*y + 11 = 0. Calculate the lowest common multiple of (2/5)/(g/1080*3) and 96. 96 Let w = -29 + 24. Let k = w - -25. Calculate the common denominator of -53/10 and ((48/k)/3)/(22/115). 110 Let r = 7469/948 + -76/79. Calculate the common denominator of r and 162/(-176) + -2 + 2. 264 Let s = -5662399/80 - -70781. Find the common denominator of s and -89/304. 1520 Let a(l) = -l**3 + 81*l**2 + 246*l + 510. Suppose 0*x + x = 0. Let i = 9 - x. What is the least common multiple of a(84) and i? 18 Let m(n) = -3*n - 3. Let l be m(-8). Let d = -24 + l. What is the common denominator of ((370/8)/5)/(d - 0) and -11/8? 24 Let l(k) = 17*k + 128. What is the least common multiple of 194 and l(-6)? 2522 Let s = 46036/21 - 2190. Calculate the common denominator of (-1)/(-1) + (8 - (-840)/(-88)) and s. 231 Suppose 4*r - 4*v = -52, 4*v + 2 = -3*r - 2. Calculate the common denominator of -51/143 and 8 + r + (-190)/(-117) + -2. 1287 Let n = 370 - 369. Calculate the common denominator of -41/10 and 10/440*-93 - (-2 + n). 220 Let c = -68 - -74. Let v(h) = h**3 + 9*h**2 - 3*h + 10. Calculate the least common multiple of v(c) and 18. 4788 Suppose 46*u - 34345 = 4525. What is the lowest common multiple of 60 and u? 10140 Let a(z) = -2*z**2 - 15*z - 8. Let j be a(-7). What is the lowest common multiple of (0/j - 4)*-10 and 115? 920 Suppose 68*l - 32 = 64*l. Let r = 29717/40 - 2230/3. Find the common denominator of (13/(-117))/(l/(-258)) and r. 120 Let k = 8 - 4. Let s be 6/4*(5 - 265/(-15)). Find the common denominator of (1/(k + -7))/((-20)/s) and -107/20. 60 Let i = 333875/32 + -10432. Let n = -494/9 + 2201/36. Calculate the common denominator of n and i. 32 Let g = -231/475 - -1046399/1900. Let a = g + -13145/24. Calculate the common denominator of 43/27 and a. 216 Suppose 0 = -5*q, 22*d - 21*d - 4*q - 4 = 0. Suppose 2*m - u - 4 = 0, 3*m = -d*u - 0*u + 28. What is the least common multiple of 10 and m? 20 Let b = 1036855/54 + -19202. Calculate the common denominator of b and -62/855. 5130 Let n = -1/170 + -212/85. Suppose 12*b - 74 = 502. Let p = b + -56. Find the common denominator of p and n. 2 Let m = -323858/25929 + 850/67. Find the common denominator of m and -67/12. 1548 Let t = 2040 - 2032. Let a = -1 + 4. Suppose 0 = a*m - 4 - 5. Calculate the least common multiple of m and t. 24 Let i(l) = 4*l - 6. Suppose -13*f + 168 = -6*f. Calculate the least common multiple of i(3) and f. 24 Let y be (-509469)/(-90) - (-15)/6. Let x = -5666 + y. Calculate the common denominator of 56/15 and x. 15 Suppose 27*d + 363 - 13323 = 0. What is the lowest common multiple of 240 and d? 480 Let q(u) = -22*u - 4. Let z(r) = 22*r + 4. Let x(d) = -4*q(d) - 3*z(d). Let t be x(-4). Find the common denominator of -125/12 and 1 + (2/t)/(4/376). 84 Let i(y) = 3*y - 12 - 9 + 3. What is the lowest common multiple of 4 and i(7)? 12 Let j be 7/(588/(-3955)) + -6. Let n = -52 - j. Calculate the common denominator of n and -143/60. 60 Let d(f) = -f**2 - 17*f + 16. Let v be d(-17). Find the common denominator of -1 - (12/v + 807/36) and 1452/2160 - 4/18. 60 Let i = 55 + -105. Let v = -41 - i. Let o = 554 - 538. Calculate the least common multiple of v and o. 144 Suppose -2*x - 28 = 2*x + 4*p, 0 = x + 3*p + 3. Let v be ((-13)/438)/((-1)/x). Let h = v + -5319/584. What is the common denominator of h and -23/28? 56 Let p(r) = -r**3 - 19*r**2 - 6*r - 103. Suppose 3*j - 25 = 2. Calculate the smallest common multiple of p(-19) and j. 99 Suppose 0 = 9*m - 11*m + 112. Let n = 61 - m. Suppose -h + n*v + 20 = -17, -5*h - v = -133. What is the lowest common multiple of h and 5? 135 Let b(h) = -10*h + 85. Calculate the lowest common multiple of b(-7) and 1395. 1395 Let p(d) = -16*d + 12. Let a be p(-3). Let j = a - 57. Suppose -4*m - 100 = -5*z, 3*z - z = -j*m + 17. Calculate the lowest common multiple of 42 and z. 336 Calculate the lowest common multiple of 420 and 4*483/(-112)*-4. 9660 Calculate the common denominator of 6/16*(-1197)/1485 and 83/660. 1320 Let q = -43508037/346 + 125746. Find the common denominator of q and -19/3460. 3460 Let s(n) = 297*n + 4. Let i be s(-28). Let c = -99631/12 - i. What is the common denominator of -101/8 and c? 24 Suppose -5*l - 4*s + 0*s = -17, -2*l - s + 5 = 0. What is the common denominator of 3*l/(-24)*-39 and -23/4? 8 Suppose 121 + 39 = 2*b. What is the smallest common multiple of b and 32 + 3 - (-8)/(-8) - 2? 160 Suppose 290*b - 30 = 288*b + 3*t, -b = -5*t - 22. What is the smallest common multiple of b and 588? 588 Suppose 4*j = 2*j + 2. Let b(k) = -7*k - 5. Let w be b(-1). What
{ "pile_set_name": "DM Mathematics" }
o) = 803*o**2 + o - 1. Let i = -44 + 48. Let b be ((-2)/i)/(13/(-26)). Is p(b) prime? False Suppose 5*q = 2*z - 21, -z + 17*q = 20*q + 6. Let l(o) = 3*o - 1. Let n be l(1). Suppose -2*c - 748 = -n*h, -z*h - h + 1499 = -3*c. Is h a composite number? True Let h be 5/(1/((-12)/(-10))). Suppose h*x + 1 = 13. Suppose -4*q + 188 = -x*q. Is q a composite number? True Suppose -13*s + 76078 = -11*s. Is s prime? True Let s(d) = 651*d**3 + 2*d**2 - 7. Is s(2) composite? False Suppose i = 3*f + 15, 15 = -2*f - f + 4*i. Is 216/1 + (f - 0) a prime number? True Let u(c) = -6*c**3 + 33*c**2 - 29*c + 21. Let n = 808 + -821. Is u(n) prime? True Is 1/(-14*7/(-6863822)) prime? True Suppose -651156 = -70*p - 323794 + 1022868. Is p a composite number? False Let o(d) = -10*d**3 + 88*d**2 - 893*d + 4. Is o(-37) a prime number? True Let o(m) = -2141*m**3 + 2*m**2 - m**2 - 21 - 6*m + 2138*m**3. Is o(-4) composite? False Let n = -152 - -155. Suppose -n*w = -v - 8*w + 634, 0 = -4*v + 3*w + 2651. Is v a composite number? False Is 14/(-714)*-3 + 3165024/34 a composite number? False Let z = 27398 - -2621. Is z a prime number? False Let m = -429984 + 909065. Is m prime? True Suppose -51*r + 45*r - 450 = 0. Suppose 3*q - 4 = -2*z, 4*z - 3*z + 11 = 5*q. Is (3765/r)/(z/5) composite? False Suppose 3*k + 2*c = -c - 26496, 4*k + 35325 = -c. Let b = -1228 - k. Is b a composite number? False Suppose 0 = 3*d + 2*h - 7, -4*h + h = 12. Let u(n) = 85*n + 78*n - 13 - 57*n + 18. Is u(d) a prime number? False Let z be 2/(-3)*51/(-34). Is (-185)/37 - -5172*z a composite number? False Let v(q) = -82*q - 21. Suppose 10*h + 96 = -214. Is v(h) a composite number? False Suppose 0 = -3*n + 5*n - t - 108, -2*n + 108 = -4*t. Suppose -20 = n*y - 49*y. Is (-3 + (y - -4))*1259/(-3) composite? False Let j = -7 - -10. Suppose 0 = -5*u + b - 19, -15 = 4*u + 2*b + j. Is (-4)/(u/1037) + 5 a composite number? True Let a(w) = 565*w**2 - 15*w - 27. Let s be ((-5 + 4)*5)/1. Is a(s) prime? True Let s be 9/15*-1*-5. Suppose 0 = -s*u - 15, -2*d = 4*u + u + 29. Is d/(-3) - 42291/(-27) a composite number? False Let c(z) = 2*z**2 + 0*z**2 - 6 + 13*z - 2. Let u be c(-21). Suppose -3*x - 5*i = -593, -u = -3*x - i - 0*i. Is x composite? True Let h = 218 + -147. Suppose 67*v + 26141 = q + h*v, -4*q + 104615 = -v. Is q a prime number? True Let c(h) = -265*h - 138. Let j be c(-13). Let t = 6672 - j. Is t a composite number? True Suppose 0 = -0*l - 3*l + 2*q + 17, 0 = 2*l - 5*q + 7. Suppose -2*w = -5*p + 695, l*w - 4*w + 1691 = -3*p. Let g = 1591 - w. Is g prime? True Let f = -7608 + 16483. Let u = -4826 + f. Is u a prime number? True Suppose 0 = -b + 16317 + 435. Suppose -b = -5*i + 143. Suppose -i = -4*s + 5017. Is s prime? True Suppose -2*w = 5*p - 10533 + 32039, 0 = -w + 3*p - 10753. Let v = w + 18567. Is v composite? True Let p = -3565562 + 5343621. Is p prime? True Let f = 265 - 272. Let a(v) = 6*v**2 - 23*v - 12. Let n(o) = -17*o**2 + 69*o + 35. Let h(p) = -11*a(p) - 4*n(p). Is h(f) prime? True Let x = 132 - 78. Let a = x + -29. Let r = 21 + a. Is r composite? True Let d(j) = -11*j**2 + 16*j + 16. Let p be d(16). Suppose 17601 = 5*w - 12394. Let b = p + w. Is b a prime number? False Suppose -3*g + 1051560 = 3*q, 8*g - 1752609 = 3*g + 4*q. Is g prime? True Let f = 7662 + 55831. Is f prime? True Let v(q) = -4*q - 11. Let a be v(-6). Let i(j) = 19*j**2 + 29*j + 5. Is i(a) a prime number? True Is (96/(-144))/((-2)/656295) prime? False Let v(q) = -q**3 + 11*q**2 + 1. Let y be v(11). Suppose -g + 3*t + 13 = 0, -t = -2*g - y + 12. Let h(k) = 4*k**3 - 4*k**2 - 7*k + 5. Is h(g) a prime number? False Let q be -19 - ((-12)/14 + (-1)/7). Is 9218/5 - q/(-30) a composite number? True Let f(y) = 184*y - 39. Let k(g) = 7*g + 8. Let z be k(1). Is f(z) a composite number? True Let n = 73350 + -35743. Is n prime? True Is (81/9 + -7)*(-44354)/(-4) composite? True Suppose 17*y + 161 = 24*y. Suppose 5*z = -8 + y. Suppose 6007 = z*b - 4772. Is b a prime number? True Let w(k) = 791*k**2 + 16*k - 92. Let s be w(7). Suppose -h + s = 12*h. Is h a composite number? True Let h be -3 - ((-39)/(-4))/(4/(-976)). Suppose -h = -5*a + a + 3*r, a - 4*r - 581 = 0. Is a a composite number? True Let z = 768590 - 443527. Is z prime? True Let a = 179885 - 115783. Is a prime? False Let o = 270 + -78. Let j = o + -63. Is j a composite number? True Is -34 + (-1 - -20) + 548874 prime? False Let n = 42 - 39. Suppose -n*j + 3*l + 13 + 14 = 0, -1 = j + l. Suppose j*q + 4*v = -v + 2427, 0 = -3*q - 4*v + 1819. Is q prime? True Suppose -47*d = -271774412 + 112791601. Is d a prime number? False Suppose -9*q + 8*q = 4*r - 120679, 0 = 5*r - 10. Is q prime? True Suppose -3*n - 3 + 15 = 0. Let f be 9/n*((-8400)/(-9))/10. Let s = f + 83. Is s a composite number? False Is 6/9*(-215854257)/(-382) a prime number? True Let u(l) = l**2 - 5*l - 62. Let y be u(11). Suppose 0 = -2*p - 5*a + y*a + 45066, 5*p - 4*a - 112639 = 0. Is p prime? True Let q(f) = 62902*f**2 + 141*f + 422. Is q(-3) a prime number? False Suppose -5*u - b + 23814 = -3*u, 35716 = 3*u + 4*b. Suppose u = -6*v + 58606. Is v a composite number? True Let t(d) = 2*d**2 + 9*d - 19 + 3 + 2. Let l be t(-6). Suppose 0*j + 4*j + 2564 = l*n, 0 = n - 2*j - 641. Is n a prime number? True Let v be 9/24 - (-51)/(-8)*-16423. Is (2 + (-24)/9)*v/(-2) a prime number? False Suppose -3*i + 8*i - 4395 = 5*r, 0 = 4*r - 16. Let h = i - 572. Is h a prime number? True Suppose -r + g = -493699, -14*g = -r - 15*g + 493687. Is r a composite number? False Let m = 55807 - -389604. Is m composite? True Let s = -92 + 94. Suppose -3*w + 3 = -0*w. Is (1/s - w)/(2/(-4652)) a prime number? True Let l(y) = -58*y**3 - 35*y**2 - 7*y + 1899. Is l(-32) a prime number? True Let t(a) = -a**2 - 28*a + 62. Let n be t(-30). Suppose -n*c + 23*g = 18*g - 5162, -c = -g - 2575. Is c prime? False Let x(d) = -4*d - 48. Let w be x(-16). Is (-3538 + w)*2/(-12) a composite number? False Let k(f) = 405*f**2 - 201*f + 943. Is k(5) prime? False Let d(g) be the second derivative of 155*g**4/4 - g**3/3 - 39*g**2/2 - 28*g. Is d(-4) composite? True Suppose -3*w - 26 = 3*h + 7, 4*h + 14 = -w. Is (-69886)/w - 12/(-30) a prime number? False Suppose 4*z + 30 = -3*x + 2*x, 0 = -3*z - 6. Let o(v) = v + 9. Let p be o(x). Let q(d) = -d**3 - 8*d**2 + 7*d + 27. Is q(p) prime? False Let h(z) = 636*z**2 - 17*z - 5. Let r(l) = -l**2 - 1. Let b(u) = h(u) - 3*r(u). Is b(4) prime? False Suppose -45*j - 185*j = -17324290. Is j a composite number? False Is (-8)/((-24)/(-21)) - -51018 prime? False Let y be 322/8 + 1 + 8/(-32). Suppose -2*f - 7 = -y. Suppose f - 102 = -i. Is i a composite number? True Let q be (7/(-35))/(1/10). Is -7978*(25/(-10) - q) prime? True Let l be -4*(-2 - (-9)/4)*-5. Suppose 4*g - 5*g = l, -4*y + 3*g = -8479. Let r = -801 + y. Is r composite? True Let q be (368980/(-15) - -6)*(-6 - 0). Is q/(-222)*3/(-2) a composite number? False Let c(l) = -2*l - 7. Let w be c(-5). Suppose w*t = t + 4. Suppose 3*k = -t*k + 1895. Is k composite? False Is (-7)/(-119) - (-13323132)/102 a composite number? False Let x be -3*(-12)/27*270/60. Is x/2*193967/93 composite? False Suppose 3*h + 0 - 6 = 0. Suppose -h*j - j = 0. Suppose -3*n = 4*d - 355, j*d = -n - 2*d + 121. Is n a prime number? True Suppose 4*o + 3*w - 44 = -o, -14 = -2*o - 3*w. Suppose o*i - 35188 - 63782 = 0. Is i composite? True Let a(y) = 5*y**3 - y**2 + y - 7. Suppose -2 = -6*r + 10. Is a(r) prime? True Let q = -3988 - -6709. Is q a composite number? True Let t = -15768 - -22352. Let b = t - 2947. Is b a composite number? False Suppose 11 - 6 = u, 4*j = -2*u + 30. Suppose -j*a + 4*m = 3089, 0*a - 4*a - 2472 = -4*m. Let z = a + 1264. Is z prime? True Let w(x) = x**3 + 81*x**2 + 9*x + 768. Is w(-71) composite? False Let c(n) = -n**3 + 2*n**2 + 25*n + 26. Suppose 37*a = 69*a + 256. Is c(a) a prime number? False Suppose -6311647 = -23*z + 8030302. Is z composite? False Let p(t) = 28447*t - 13. Let r be p(1). Suppose 3*g - 2*f - r = 35637, 0 = 4*g - 3*f - 85429. Is g composite? True Let n(u) = 1113*u - 12. Let w be n(3). Suppose 1660 = 2*s + 2*m, 3*s + w = 7*s - 3*m. Is s a prime number? False Let v = -55 - -58. Suppose 1213 = v*c - 2*w, 5*c + 2*w - 631 - 1380 = 0. Is c a composite number? True Let x(r) = -r**2 - 694*r +
{ "pile_set_name": "DM Mathematics" }
3 + 2. Let x = 6 + -10. Which is the second biggest value? (a) x (b) n (c) 0.1 b Let p = 0.7 + -4.7. What is the smallest value in -1, -8, p? -8 Let h = 56.01 + -56. Which is the second biggest value? (a) h (b) 1/6 (c) 2/9 b Let s = 0.047 - -4.553. Let d = -1.4 - s. Let p = -5.5 - d. What is the third smallest value in p, -2/5, -1/2? p Let g(z) = -4*z**2. Let p be g(1). What is the second biggest value in -3/2, -1/4, p? -3/2 Let v(d) = d - 2. Let g be v(0). Let u be -4*(g - (-21)/10). What is the smallest value in -5, -3, u? -5 Let j = 402 - 418.3. Let r = -17 - j. Which is the third smallest value? (a) -0.4 (b) 0.1 (c) r b Let a = 0 - -0.04. Let b = a + 0. Let y = -2.04 + b. What is the second biggest value in 1, 0.1, y? 0.1 Let k = -1.3 - -0.7. Let y = 0.052 - -4.548. Let w = y + k. What is the smallest value in -2, w, 5? -2 Let w(g) be the second derivative of g**4/12 - g**2 - g. Let s be w(-2). Which is the third biggest value? (a) s (b) -1/6 (c) 2/7 b Let m = -3.1 - -0.1. Which is the third biggest value? (a) 1 (b) m (c) -4 c Suppose 5*c - 39 = -4*p - 2, -5*p - 10 = 0. Let v = -4 + c. Let t = -0.5 - -0.2. What is the third smallest value in t, 3, v? v Let g(y) = y + 4. Let m be g(-8). Let v be 1/(-4) + (-35)/28. What is the biggest value in -5, m, v? v Let g = 5 + -5.5. Let p = 3 - 5. Let r = 2.1 + p. Which is the third smallest value? (a) r (b) -2 (c) g a Let p be 6/8*(-2)/(-6). Let k = -45 + 44.62. Let j = k + -0.02. Which is the second smallest value? (a) -5 (b) j (c) p b Let i = -0.32 + 0.12. What is the second smallest value in i, 0.4, 0? 0 Let s = -30.48 - -31. Let v = s + -0.02. What is the second smallest value in v, 3/4, -1/5? v Let u(p) = p**2 - 4*p - 2. Let o be u(4). Let f = 8 + -5. Which is the second biggest value? (a) f (b) -4 (c) o c Suppose 8*z - 3*z - 25 = 0. Let r = -1.01 + 0.01. Let g = -6 - r. Which is the biggest value? (a) 3/5 (b) z (c) g b Let j(k) = k - 8. Let g be j(0). Let i = 23/3 + g. Which is the third biggest value? (a) i (b) -0.3 (c) -0.1 a Let y = -57/5 - -51/5. Which is the third biggest value? (a) y (b) -2 (c) -0.5 (d) -3/4 a Suppose 5*u = 44 + 11. Let a be (-333)/(-540) + (9/(-4))/3. What is the second biggest value in a, -2, u? a Let s = -0.592 - -0.092. What is the biggest value in -0.2, -13, s, -3? -0.2 Let s be 26*1/(-12) - -2. What is the second biggest value in 3, 2/3, s? 2/3 Suppose 3*g + 11 = -7. Let m be (-4)/g - (-5)/(-12). Which is the third smallest value? (a) -3 (b) m (c) -2 b Let t = -0.3 - -1.3. Let c be (-1)/6 - 4170/36. Let j be -2*c/(-72) + 3. What is the second biggest value in t, 1/2, j? 1/2 Suppose -a + 3*v - 11 = -0*a, 2*a + 2*v - 2 = 0. Let f = 0.1 - 0.2. What is the biggest value in f, -4, a? f Let n(y) = y + 6. Let l(r) = -1. Let k(f) = -6*l(f) - n(f). Let m be k(3). Let w = 5.8 + -6. Which is the third smallest value? (a) w (b) -5 (c) m a Let j(h) = 2*h + 7. Let u be j(7). Let r = 39/2 - u. What is the third biggest value in r, -2/7, -3? -3 Let f = 3.2 + -4. Let d = f + 0.4. What is the third smallest value in d, 3/5, -1/2? 3/5 Let i = -11 + 5. Suppose -v - 10 = -0*m + 2*m, -3*v = -m + 2. What is the third smallest value in v, 0.2, i? 0.2 Let k be (-2)/6*(5 - (-46)/(-8)). Let u(a) be the third derivative of -a**4/24 + 5*a**3/3 + a**2. Let b be u(7). What is the third biggest value in b, -3, k? -3 Let i be ((-2)/3)/(14/6). Let d = 3 + -3.6. Let s = -0.4 + d. Which is the third smallest value? (a) i (b) s (c) -2 a Let w = -0.79 - -0.29. What is the biggest value in 1/5, w, 4? 4 Let a = 209 - 212. What is the fourth smallest value in a, -7, 2/15, 4? 4 Let u = 90 - 90. Which is the smallest value? (a) -3 (b) 2 (c) u a Let n be (-2)/14 + (-468)/(-91). Which is the third smallest value? (a) 2/19 (b) 4/9 (c) 0.2 (d) n b Let s = 2 + -1.7. Let q(g) = g**2 + 4*g + 3*g - 3*g - 7. Let a be q(-6). What is the third smallest value in -0.2, a, s? a Let t = -2.4 - -2. What is the third smallest value in t, -2, 4? 4 Let i = 3.2 + -3. Let w = -0.011 - 1.989. Let o = -4.93 - 0.07. Which is the biggest value? (a) w (b) i (c) o b Let g be 159/(-12) - (-1 + 2). Let w = g + 293/20. Let k = 0.065 + 0.135. Which is the third smallest value? (a) k (b) w (c) -0.5 b Let n = 69 + -68. Which is the third smallest value? (a) -4 (b) -2 (c) n c Let n = 7 - 7. Which is the third biggest value? (a) 0.4 (b) n (c) 0.1 b Let u be ((12/(-15))/(-2))/((-20)/130). Which is the second smallest value? (a) -2/13 (b) 1 (c) u a Let h = -0.01 - -0.41. Suppose t + 5 = 3*v, -11*t - 5 = -10*t + 5*v. What is the biggest value in t, -2/15, h? h Let d(l) = -l**2 - 11*l + 8. Let j be d(-12). What is the third biggest value in j, 3/2, -0.4? j Let u = -3 - -2. Let p = 19 - 19.2. Which is the smallest value? (a) -5 (b) p (c) u a Let r = 0.23 + -5.23. What is the biggest value in 0.05, 0.3, r? 0.3 Let p = 54/11 - 464/99. Let m be 16/(-6) + (5 - 3). What is the third smallest value in m, 0.4, p? 0.4 Let d = -0.08 + -4.92. Suppose -3*q + 6*q - 12 = 0. What is the third smallest value in 0.2, d, q? q Let y = 1 + -2. Let g be ((-3)/((-234)/(-4)))/((-19)/57). Which is the biggest value? (a) g (b) -4/5 (c) y a Let j(i) = i**2 - 2*i + 1. Let h be j(3). Suppose h*y - 3 = y. Let k = 0 - y. What is the third smallest value in k, 0.2, -1/4? 0.2 Let f = -0.655 - -0.155. What is the third biggest value in f, 2.3, -0.1? f Let k(u) = u**2 - 7*u + 3. Let j be k(7). Which is the smallest value? (a) 2/3 (b) j (c) -5 c Let s = -0.4 - -0.6. Let c = -0.7 + 0.4. What is the biggest value in c, -3/5, s? s Let z = 127 + -638/5. Let q = 9 + -9.5. What is the third smallest value in z, 2, q? 2 Let z = 0.029 + 0.171. Which is the second smallest value? (a) 0.3 (b) z (c) 4/7 a Let v be -1 - (54/21)/(-2). Let s = 0.3 - 0.31. Let a = s + 0.11. What is the smallest value in a, v, 0? 0 Let k be -2 + (-56)/(-30) - (-16)/(-60). Let h = 0 - 0. What is the biggest value in h, 3, k? 3 Let m = -0.22 - -8.22. What is the second biggest value in -2/7, m, 0.2? 0.2 Let o be (-15)/45 - ((-32)/15 - -2). Suppose 4*a = a + 6. What is the biggest value in o, a, -0.3? a Let j = 0 - -0.1. Let r = -4.7 - -5. Let v = r + 0.1. Which is the third biggest value? (a) 5 (b) j (c) v b Let q = 7 + -2. Let p = -3.92 + 4. Let v = -0.38 + p. Which is the second smallest value? (a) v (b) q (c) 1/6 c Let s = -29/5 + 111/20. Which is the second smallest value? (a) -3/4 (b) s (c) -4 a Let f be (-4)/6 + (-4)/6. Let c(w) = -w - 1. Let t be c(-6). What is the third biggest value in t, 1/3, f? f Let i = 5.6 + -7. Let n = -1.7 - i. Which is the smallest value? (a) n (b) 3 (c) 1 a Let i = -205/882 + 1/98. Let z = -6.6 + 6.5. What is the second biggest value in i, z, 0? z Let o be 6/10 + ((-48)/(-30))/(-4). What is the smallest value in -2/9, 0.5, -2/7, o? -2/7 Let q = -7 - -4. Which is the third biggest value? (a) 5 (b) 0 (c) q c Let k be (2/(-3)*-6)/((-27)/(-3)). What is the smallest value in -2/3, k, 2, 1? -2/3 Let g = 11 + -22. Which is the biggest value? (a) -1/4 (b) g (c) 1 c Let i = -28.5 - -29. Which is the smallest value? (a) i (b) 0.04 (c) 4/7 b Let i = -1.1 - -0.1. Let d = 14 + -5.4. Let u = d - 9. Which is the third smallest value? (a) u (b) i (c) -4 a Let i be 14/18*14/(-49). Which is the second smallest value? (a) 1/5 (b) 6 (c) i a Let y = 10 + -10.3. Let a = -0.3 + 0.2. What is the biggest value in -4, y, a? a Let g = 0.74 - 0.64. Let k = 0.2 + -0.25. What is the biggest value in k, 4, g? 4 Let i be 15/(-63) + 2/(-6). Let q = -3.8 - -4. What is the third smallest value in i, q, -0.3? q Let x = 7 - 10. What is the third biggest value in x, 1, 4, 0.2? 0.2 Let w(t) = t**3 + t**2 - t - 3. Let h be w(-3). Let u be 0 + -2 + (-33)/h. Which is the second smallest value? (a) 1 (b) 4 (c) u a Let y be (-6)/15 - (-36)/(-10). Let v = -0.103 + -0.097. What is the second smallest value in y, 2/3, v? v Suppose -3*l + 2*o + 103 - 327 = 0, -l + o - 75 = 0. Let k = l - -371/5. What is the second biggest value in k, 2, -2/3? k Suppose 3*p = 2*p. Let g = -0.9 - 0.1. Which is the smallest value? (a) g (b) p (c) -3 c Let h = -51 - -48. What is the third biggest value in 4, -4, h, -0.2? h Let z be (-1)
{ "pile_set_name": "DM Mathematics" }
9 for b. -1 Solve 0 = -r - 5 + 1, 4*x = 3*r + 16 for x. 1 Solve 2*i + 7 = 3*i + o, 0 = i + 4*o - 16 for i. 4 Solve -3*r = t - 9, 0 = -4*t - 29 + 17 for r. 4 Solve 3*d = -22*g + 23*g + 5, -5*d + 4*g + 6 = 0 for d. 2 Solve 5*a - 2*h - 35 = -4*h, 40 = 3*a + 5*h for a. 5 Solve 2*b + 2 = -3*g - 1, 0 = -b - 5*g - 5 for b. 0 Solve -5*n - 33 = c, n - 25*c + 29*c = -18 for n. -6 Solve -4*b + 5*x - 29 = -0*x, 27 = -2*b + 5*x for b. -1 Solve -20 = -y + 2*f - 13, 2*f + 8 = 0 for y. -1 Solve 12 = -4*i + 4*l - 16, -4*l = -8 for i. -5 Solve 14 - 19 = -5*v - 2*f, 4*f = 0 for v. 1 Solve -y - 3*b = 13, -b = y - 5*b - 22 for y. 2 Solve 0 = -3*n + 5*r, 14*r = 2*n + 11*r + 1 for n. -5 Solve -4*b + 2*f = -2, 15 = 2*f + f for b. 3 Solve 7*s + 2*r = 2*s + 6, 3*r + 14 = 4*s for s. 2 Solve 3*k = 3*w + 18, -4*w = -5*k + 32 - 3 for w. -1 Solve -3*y + 2*f + 13 = 12, -4*f - 11 = 3*y for y. -1 Solve n = x + 3, 4*x + 5 = -x for n. 2 Solve 3*r - 2 = -v - 0, r = 3*v + 14 for v. -4 Solve 3*d + 3*c = 0, -d - 68*c - 4 = -66*c for d. 4 Solve -2*r + d = 4, 5 = -4*r - 4*d - 15 for r. -3 Solve -2*s - 3*y = -6*y - 14, -s + y + 6 = 0 for s. 4 Solve 5*w - y + 5 = 0, -4*y - 2 = 2*w - 5*y for w. -1 Solve -5*l = -3*d - 0*d - 9, -d = -3*l + 7 for l. 3 Solve x + 4*b - 11 = 0, -2*x + 1 = -5*x + 5*b for x. 3 Solve n + 5*o + 16 = 0, -13 + 14 = -4*n + o for n. -1 Solve -5*p = -5*t + 15, p + 2*p - 5*t = -13 for p. -1 Solve 2*x + 3*r + 15 = 0, -7*x + 2*r + 10 = -3*x for x. 0 Solve 0 = -5*j + 6*o - 2*o - 1, -2*o - 6 = 4*j for j. -1 Solve 0 = -2*z - a, -3*z + 2*a - 5 = 2 for z. -1 Solve f + 0*f = -4*g, 2*f - 11 = 3*g for f. 4 Solve 0 = 3*p - 12, 6*n - 15 = -5*p + 23 for n. 3 Solve -j - 4*j = -b - 4, b - 4*j = -3 for b. 1 Solve -45 = -5*o - 5*w, 4*o + 5*w - 35 = 8 for o. 2 Solve -2*l - 5*h + 16 = -7, -2*h + 13 = -3*l for l. -1 Solve -19 = -5*v - 2*d, 0 = 4*v - 0*d + d - 14 for v. 3 Solve -2*m - 7 = w + 6, -5*m = -4*w + 13 for m. -5 Solve -6*a + a = -5*c - 10, a = -3*c - 18 for a. -3 Solve -x - 11 = 2*t, -4*x + 5*t + 62 - 41 = 0 for x. -1 Solve -48*k + 3 = -43*k + 3*h, 3*k - 5 = -h for k. 3 Solve 2*k - 8 = -4*u, 5*u + k = -0*u + 10 for u. 2 Solve 0 = -2*c - 5*l - 15 - 10, -5*l = c + 25 for c. 0 Solve 0 = -4*z - 4*s + 8, 3*s + 1 = 2*z + 7 for z. 0 Solve 3*k + 4*m = 28, -19*k + 16 = -16*k + m for k. 4 Solve -17 = -4*t - 25, 4*s - 2 = -3*t for s. 2 Solve -2*v - s + 6*s = 0, 0 = -v + 4*s for v. 0 Solve 2*q = -4*s, 9 = s + 5*q - 9 for s. -2 Solve 0 = -v + 29*f - 34*f - 3, -5*v + 4*f - 15 = 0 for v. -3 Solve -4*i + 7 = -17, q - 2*i + 17 = 0 for q. -5 Solve b = -0*b + 3*r + 4, 0 = -5*r - 10 for b. -2 Solve 0 = 4*c - 8, 2*v - 10 = 3*v - 4*c for v. -2 Solve 353*h - 7 = -k + 351*h, -5*k - 4*h = -29 for k. 5 Solve 3 = 2*x - p, 5*x - 8*p + 4*p = 6 for x. 2 Solve -140 = -t + 4*l - 134, -4*t = 5*l + 18 for t. -2 Solve 0*s + 4*p = -s - 10, 0 = 4*s - 5*p - 23 for s. 2 Solve 8 = -2*x + 2*o + o, 0 = 3*x + o + 12 for x. -4 Solve -2*r + 4*f + 14 = 0, 0*f + 8 = 4*r - 4*f for r. -3 Solve -h - 41 = 5*z - 5*h, 5*z - 2*h + 33 = 0 for z. -5 Solve -n - 2*n = -4*i - 1, -8 = 4*n + 4*i for n. -1 Solve 4*z - t + 3 = -0, -2*z + 12 = 4*t for z. 0 Solve -7*d + 9 = -4*d, -4*a = -5*d + 31 for a. -4 Solve -4*l = -5*y, -806 = -4*y - 790 for l. 5 Solve 0 = -x - 2*p + 1, -2*x - 5 = 4*p - 7*p for x. -1 Solve -2*q = 3*u - 13, -q - 4*u + 19 = -0 for q. -1 Solve -3*a + 7 = 2*i, 3*i - a + 4 - 20 = 0 for i. 5 Solve 0 = 3*k - j - 11, -k = 5*j + 9 - 34 for k. 5 Solve 9 = 7*s - 8*s + 3*r, -r + 7 = -s for s. -6 Solve -4*z = -5*y, 5*z - 37 = -y - 2*y for y. 4 Solve -5*f = g + 19, -g - 2*f = 2 + 8 for g. -4 Solve -q + m = -5, 1 - 3 = -2*q - 2*m for q. 3 Solve -5*r = -5*b + 20, -4*b = -r - 7 - 9 for b. 4 Solve 3*z + 3*y = -18, 5*z + 11 = -y + 1 for z. -1 Solve 5*o + 5*f = 25, -5*o + 11 = 3*f - 10 for o. 3 Solve 0 = 2*k + n + 6 - 1, n = 1 for k. -3 Solve 40 = -5*c - 5*j, 5*j = 4*c + 3*j + 14 for c. -5 Solve 0 = 5*y + 4*s - s - 18, s - 1 = 0 for y. 3 Solve -18 = 4*m + 2*x, 4*m + 13 = -0*x - x for m. -2 Solve -7*k - 2*t - 4 = -12*k, 4 = 4*k - 2*t for k. 0 Solve 0 = -3*i + 3*h - 24, -60*h + 56*h + 22 = -2*i for i. -5 Solve 5*s - b = -2 - 16, -3*s - 22 = 5*b for s. -4 Solve -6 = -2*h, 0 = -4*l + h - 96 + 101 for l. 2 Solve 18 = 5*m - k - 8, 2*k - 23 = -5*m for m. 5 Solve -3*m + g = 17, -2*m - 26*g - 14 = -28*g for m. -5 Solve 5*w = -2*i - 24, w + 1 = 4*i + 5 for w. -4 Solve -3*c + 5 = 5*t, -5*c + 31 = -3*t - 0*t for t. -2 Solve 3*d = 4*o + 1, 0 = d - 5*o - 3 + 10 for d. 3 Solve 21 = 5*n - 8*n - 3*a, 4 = -2*n + 3*a for n. -5 Solve -2*w = 3*d - 13, 3 + 6 = 5*d - 3*w for d. 3 Solve 0 = q - 3*s + 4, -62*s - 4 = 3*q - 67*s for q. 2 Solve -3*o + 5*i = -10, 0 = -3*o - 0*o - i - 2 for o. 0 Solve -14*k + 22 = -9*k + 3*q, 0 = -4*k + q + 21 for k. 5 Solve 132*q = -3*l + 130*q + 11, l + 4*q = -3 for l. 5 Solve -3*n = -9, d + 2*d - 5*n + 18 = 0 for d. -1 Solve z - 19 = 4*x, 8*x - 3*x + 3*z = -11 for x. -4 Solve 2*o = -2*l - 6, -1 - 8 = 3*l for o. 0 Solve 4*y - w = 2*y - 5, 2*w + 6 = 0 for y. -4 Solve -5*a + 2*n + 14 = -3, 0 = -5*a + n + 21 for a. 5 Solve -v - 7 = -2*m + 2, -m = -5*v for v. 1 Solve -5*x + 3*h = h - 22, -4*x = -5*h - 21 for x. 4 Solve -5*k + 4*w - 23 = 0, 6*k - 7*k + 1 = 2*w for k. -3 Solve -2*f + d = 1, -2*d + 12 = 2*d for f. 1 Solve -c + 9 = -2*q + 14, 2*c - 5*q = -14 for c. 3 Solve 2*v - 4*l = 30, v = 4*l + 7 + 18 for v. 5 Solve 5*d - 5*q - 25 = 0, -20 = -d + 25*q - 21*q for d. 0 Solve 2 = o + d, -2*d = 5*o - o - 2 for o. -1 Solve -f - 3*y = 11, -f + 5*y = y - 24 for f. 4 Solve 2*p - 5*p - 10 = -5*x, 2*p = 2*x - 8 for x. -1 Solve a - 4*d + 8 = 25, 13 = 4*a - 5*d for a. -3 Solve 17 = 5*z - 0*u + 2*u, 5*z - 11 = 4*u for z. 3 Solve 20 = -5*f, 4*f + 28 = -6*b + 2*b for b. -3 Solve 0 = 2*c - 10, -5*j - 26*c + 30 = -21*c for j. 1 Solve 0 = 2*c - 6, -6*c = j - 3*c - 4 for j. -5 Solve 3*o = 4*g - 17, -5*g - 99 = -4*o - 120 for o. 1 Solve 5*a + s = -27, 2*a - s + 12 = -2*s for a. -5 Solve 5*p + 20 = 5*u, 3 = 2*u + 4*p + 25 for u. -1 Solve -2*l - l = -2*g - 14, 16 = 3*l - 4*g for l. 4 Solve -c - 2 = 4*x, 3*c = -8*x + 4*x - 6 for c. -2 Solve -4*h = 4*m - 40, -3*h - 135 = -5*m - 125 for m. 5 Solve -2*j + 3*h - 11 + 3 = 0, 3*j = -4*h + 5 for j. -1 Solve 4*n = 4*o, 0*n - 2*o + 6 = n for n. 2 Solve -9*f + 17 = -2*b - 14*f, -3*b - 3*f - 12 = 0 for b. -1 Solve -5*k + 3*d + 19 = 0, 4*d + 10 = 197*k - 198*k for k. 2 Solve 3*y = 4*s - 7, -4*s + 6*s - 5*y + 7 = 0 for s. 4 Solve -51*f - 12 = -47*f, 3*n + 2*f + 18 = 0 for n. -4 Solve 5*x + 29 = o, 15 = 5*o - 2*x - 15 for o. 4 Solve -8 = 2*k - 5*b, -33*k - 2*b + 8 = -35*k for k. -4 Solve 5*n = -2*z + 18, 8*z - n - 2 = 7*z for z. 4 Solve -2*f = -3*f - 2*w, 0 = -2*f - w - 3 for f. -2 Solve 0 = -5*l + 8*l - 4*z + 1, -5*l - 23 = 4*z for l. -3 Solve -101*i = -102*i - 3*u - 17, 0 = 2*i + 5*u + 29 for i. -2 Solve -2*v + 2 = 2*q, q - 26 = 5*v - 7 for q. 4 Solve 16 = 3*d - 2*s, 0 = 10*d - 13*d - 4*s + 4 for d. 4 Solve 3*n = -3, -2*t + 131 = 4*n + 139 for t. -2 Solve 0*b + 14 = 5*p - 3*b, 0 = 4*p - 5*b - 6 for p. 4 Solve 8 = -i + 4*o, -2*i - 5*o = 291 - 301 for i. 0 Solve -5*z - d = 15, 2*d - 4*d = 5*z + 10 for z. -4 Solve 6*l - l + 2*y + 15 = 0, 3*l + 2*y + 9 = 0 for l. -3 Solve 3 + 3 = 5*g + 2*v, -g = v for g. 2 Solve -2*c = 5*x + 2, -8 = -4*c - 10*x + 6*x for c. 4 Solve -2*u = d - 3*d, u + 3*d = 0 for u. 0 Solve f - 18 = -5*y + 8*y, -2*f = -6 for y. -5 Solve 0 = -w + 5*y + 9 - 4, 0 = -5*w - 5*y - 35 for w. -5 Solve 2*z = -2 - 6, 0 = 4*f + z for f. 1 Solve 0 = 19*b - 16*b + g - 8, 5*b - 25 = -4*g for b. 1 Solve -41 = -s - 43, 4*z - 2*s = -12 for z. -4 Solve 4*u = -4*q + 44, 5*u - q = q + 20 for u. 6 Solve 14*i - 10*i - 1 = 3*h, h - 6 = -5*i for i. 1 Solve 6*h - 2 = 5*h - 5*l, h + 2*l + 1 = 0 for h. -3 Solve -4*z + 10 = -9*l + 8*l, 2*l - 3*z = -5 for l. 2 Solve 10 = -31*o + 29*o + 5*r, -3*o = 3*r - 6 for o. 0 Solve -i + 4 = 2*f, -4 = -f - 3*f - 4*i for f. 3 Solve 3*a + 3*s - 6 = 0, 6 = 4*a - 5*s - 11 for a. 3 Solve v + 3*c = 2*c - 2, 0 = v + 4*c - 1 for v. -3 Solve -7*m + 4 = -8*m - 3*r, -4*m + r - 3 = 0 for m. -1 Solve 3*f - 13 = 8, 5*y - 19 = -2*f for y. 1 Solve 26 = -3*c - 3*u - 2*u, 2*c - u = 0 for c. -2 Solve -3*o = -3*r + 6, -o = 2*r + 6 + 5 for o. -5 Solve 3*z - 7*b - 9 = -5*b, 0 = -2*b for z. 3 Solve 5*q + 4*a - 5 = -0*a,
{ "pile_set_name": "DM Mathematics" }
by 30. 23 What is the remainder when 65 is divided by 62? 3 What is the remainder when 3043 is divided by 29? 27 Calculate the remainder when 1392 is divided by 17. 15 Calculate the remainder when 2617 is divided by 65. 17 What is the remainder when 65 is divided by 22? 21 Calculate the remainder when 1066 is divided by 355. 1 Calculate the remainder when 322 is divided by 41. 35 Calculate the remainder when 1580 is divided by 93. 92 Calculate the remainder when 55 is divided by 10. 5 What is the remainder when 101 is divided by 21? 17 What is the remainder when 184 is divided by 62? 60 What is the remainder when 4664 is divided by 194? 8 Calculate the remainder when 164 is divided by 68. 28 What is the remainder when 11554 is divided by 91? 88 What is the remainder when 35 is divided by 26? 9 Calculate the remainder when 1322 is divided by 49. 48 What is the remainder when 2360 is divided by 17? 14 What is the remainder when 35037 is divided by 584? 581 What is the remainder when 167 is divided by 51? 14 What is the remainder when 1091 is divided by 186? 161 What is the remainder when 309 is divided by 105? 99 What is the remainder when 34 is divided by 19? 15 What is the remainder when 740 is divided by 13? 12 Calculate the remainder when 124 is divided by 60. 4 What is the remainder when 250 is divided by 12? 10 Calculate the remainder when 4111 is divided by 242. 239 What is the remainder when 12219 is divided by 188? 187 Calculate the remainder when 46 is divided by 25. 21 Calculate the remainder when 67 is divided by 17. 16 What is the remainder when 4102 is divided by 54? 52 Calculate the remainder when 331 is divided by 39. 19 Calculate the remainder when 756 is divided by 750. 6 What is the remainder when 502 is divided by 238? 26 What is the remainder when 231 is divided by 126? 105 Calculate the remainder when 7173 is divided by 35. 33 What is the remainder when 92 is divided by 39? 14 Calculate the remainder when 1505 is divided by 33. 20 Calculate the remainder when 42663 is divided by 35. 33 Calculate the remainder when 2206 is divided by 368. 366 What is the remainder when 166 is divided by 13? 10 Calculate the remainder when 155 is divided by 16. 11 What is the remainder when 449 is divided by 257? 192 Calculate the remainder when 185 is divided by 121. 64 What is the remainder when 6656 is divided by 90? 86 What is the remainder when 6146 is divided by 53? 51 Calculate the remainder when 28 is divided by 15. 13 What is the remainder when 243 is divided by 47? 8 Calculate the remainder when 155 is divided by 40. 35 What is the remainder when 1951 is divided by 21? 19 What is the remainder when 590 is divided by 17? 12 Calculate the remainder when 41659 is divided by 74. 71 Calculate the remainder when 1277 is divided by 45. 17 Calculate the remainder when 3263 is divided by 48. 47 Calculate the remainder when 844 is divided by 61. 51 What is the remainder when 1438 is divided by 102? 10 Calculate the remainder when 88 is divided by 61. 27 Calculate the remainder when 5945 is divided by 238. 233 Calculate the remainder when 166 is divided by 26. 10 What is the remainder when 165 is divided by 61? 43 Calculate the remainder when 551 is divided by 140. 131 What is the remainder when 3437 is divided by 86? 83 Calculate the remainder when 3819 is divided by 45. 39 What is the remainder when 42 is divided by 16? 10 Calculate the remainder when 444 is divided by 28. 24 Calculate the remainder when 14 is divided by 10. 4 Calculate the remainder when 2148 is divided by 115. 78 Calculate the remainder when 2426 is divided by 92. 34 Calculate the remainder when 204 is divided by 65. 9 What is the remainder when 128 is divided by 13? 11 What is the remainder when 471 is divided by 51? 12 What is the remainder when 63 is divided by 11? 8 What is the remainder when 349 is divided by 89? 82 Calculate the remainder when 46 is divided by 3. 1 Calculate the remainder when 103 is divided by 47. 9 What is the remainder when 6335 is divided by 72? 71 Calculate the remainder when 853 is divided by 45. 43 Calculate the remainder when 420 is divided by 9. 6 Calculate the remainder when 1036 is divided by 1026. 10 Calculate the remainder when 1197 is divided by 40. 37 What is the remainder when 14456 is divided by 79? 78 What is the remainder when 287 is divided by 58? 55 What is the remainder when 14310 is divided by 367? 364 Calculate the remainder when 77 is divided by 26. 25 What is the remainder when 83 is divided by 21? 20 Calculate the remainder when 2538 is divided by 21. 18 Calculate the remainder when 300 is divided by 81. 57 Calculate the remainder when 3450 is divided by 687. 15 Calculate the remainder when 13622 is divided by 57. 56 What is the remainder when 32 is divided by 5? 2 Calculate the remainder when 169 is divided by 123. 46 Calculate the remainder when 272 is divided by 87. 11 What is the remainder when 29 is divided by 17? 12 What is the remainder when 1619 is divided by 36? 35 Calculate the remainder when 1093 is divided by 223. 201 What is the remainder when 21 is divided by 8? 5 What is the remainder when 1374 is divided by 9? 6 Calculate the remainder when 191 is divided by 43. 19 What is the remainder when 5386 is divided by 22? 18 Calculate the remainder when 9357 is divided by 72. 69 What is the remainder when 698 is divided by 70? 68 What is the remainder when 196 is divided by 58? 22 What is the remainder when 173 is divided by 5? 3 What is the remainder when 154 is divided by 37? 6 Calculate the remainder when 2317 is divided by 18. 13 Calculate the remainder when 639 is divided by 20. 19 What is the remainder when 375 is divided by 56? 39 What is the remainder when 586 is divided by 76? 54 Calculate the remainder when 600 is divided by 313. 287 What is the remainder when 258 is divided by 58? 26 Calculate the remainder when 1453 is divided by 113. 97 What is the remainder when 929 is divided by 118? 103 What is the remainder when 512 is divided by 106? 88 What is the remainder when 560 is divided by 94? 90 What is the remainder when 120 is divided by 62? 58 Calculate the remainder when 382 is divided by 56. 46 Calculate the remainder when 969 is divided by 256. 201 Calculate the remainder when 116 is divided by 21. 11 What is the remainder when 307 is divided by 26? 21 Calculate the remainder when 149 is divided by 73. 3 Calculate the remainder when 28 is divided by 12. 4 What is the remainder when 4667 is divided by 73? 68 Calculate the remainder when 26 is divided by 14. 12 What is the remainder when 74 is divided by 62? 12 Calculate the remainder when 68 is divided by 21. 5 What is the remainder when 202 is divided by 29? 28 What is the remainder when 165 is divided by 22? 11 What is the remainder when 2040 is divided by 397? 55 Calculate the remainder when 647 is divided by 32. 7 Calculate the remainder when 579 is divided by 27. 12 What is the remainder when 894 is divided by 232? 198 Calculate the remainder when 217 is divided by 25. 17 Calculate the remainder when 11203 is divided by 303. 295 Calculate the remainder when 33 is divided by 18. 15 Calculate the remainder when 51466 is divided by 37. 36 Calculate the remainder when 1274 is divided by 71. 67 Calculate the remainder when 1297 is divided by 93. 88 What is the remainder when 2349 is divided by 1166? 17 Calculate the remainder when 3899 is divided by 16. 11 Calculate the remainder when 1647 is divided by 30. 27 Calculate the remainder when 278 is divided by 36. 26 What is the remainder when 535 is divided by 263? 9 What is the remainder when 180 is divided by 92? 88 What is the remainder when 315 is divided by 160? 155 Calculate the remainder when 163 is divided by 82. 81 What is the remainder when 455 is divided by 6? 5 What is the remainder when 1143 is divided by 88? 87 What is the remainder when 185 is divided by 94? 91 Calculate the remainder when 6243 is divided by 9. 6 What is the remainder when 1427 is divided by 68? 67 Calculate the remainder when 131 is divided by 35. 26 Calculate the remainder when 1565 is divided by 32. 29 What is the remainder when 115 is divided by 9? 7 Calculate the remainder when 350 is divided by 96. 62 Calculate
{ "pile_set_name": "DM Mathematics" }
(d) 2/19 a Let g be (-1)/2*(-2)/(-5). Let i = 15908/13 + -47711/39. What is the second smallest value in g, -48/5, i? g Let x = 62.36 + -61.36. What is the third smallest value in 3/2, -2/7, 0.05, 4, x? x Let p = -1360 + 1358. What is the fourth smallest value in 0.3, p, 2, 0.092? 2 Let f = 967199/1455 + -5976/97. Let d = f + -603. Which is the third smallest value? (a) -4 (b) d (c) 3 c Let k = -5663118 + 4519168817/798. Let g = k + 2/133. What is the third biggest value in 5, 1/3, 0.3, g? 1/3 Let p be 136/24 + (-2)/3. Let r = -0.4 + -0.1. Let m = 10 + -12. Which is the third smallest value? (a) r (b) m (c) p (d) 2/5 d Let l = 13741/2 + -6871. Which is the biggest value? (a) -68/5 (b) -4 (c) l c Let z be 52/21 - (-1)/(-3). Let w = z - 149/63. Let i be 20/(-48) - (6/(-9) - -1). What is the third biggest value in w, -2/7, i? i Let q = -471.154 - -0.154. Let l = -540.6 - q. Let u = l + 70. Which is the second smallest value? (a) -0.4 (b) u (c) 8 b Let j = -49.08 + 50.08. What is the biggest value in 141, j, 4/7? 141 Let a = 1.85 + -370.85. Let t = a + 366. What is the second smallest value in -4, 4/9, t? t Let v = 41.1 + 132.9. Let n = v - 171. What is the second smallest value in -16, -0.3, n, 0.2? -0.3 Let l = 856.2 + -859.2. Which is the smallest value? (a) 0.9 (b) 216 (c) l c Let m = -0.1 - -0.02. Suppose -3*u = -4*q + 7, -2*u + q - 3 = -0*u. Let s = 118 + -117.7. Which is the fourth smallest value? (a) -5 (b) m (c) s (d) u c Let c be (12/4 + -23)/(1*-2). Suppose -2*b = 2*b, -4*b + c = 2*a. Suppose a*g - 1 = -5*v - 11, 0 = 4*v + 5*g + 5. What is the smallest value in -6/23, -1, v? v Let s = 56.159 + -0.159. Let w = -53 + s. Which is the second biggest value? (a) -1/55 (b) w (c) -2/5 a Let z = 0.022 - -0.085. Let o = 4.107 - z. What is the biggest value in -2, o, 0.5, 2? o Let n = -3267.3 - -3267. What is the biggest value in -1/11, 3, n? 3 Let n = 4.235 - 4.135. Which is the third biggest value? (a) -1.3 (b) 1/5 (c) -11 (d) -0.5 (e) n d Let x be 60939/(-41958) + (-10)/(-6). Let j = -11 + 16. Which is the fourth biggest value? (a) x (b) -5 (c) j (d) 0.1 b Let d = 60 - 60. Suppose -3*y - 3*t - 30 = d, y - 26 = 4*y + t. What is the third smallest value in y, 6, -3/2? 6 Let a = 15764/39435 + 2/7887. Let p = -23 - -36. What is the second biggest value in p, -2, a? a Let k be ((-4)/(-9))/((-4)/(-6)). Let i = 9.3 - 2.3. Let d = 7.5 - i. Which is the second smallest value? (a) 1/5 (b) k (c) d c Let j = -704.6 - -705.2. What is the third smallest value in -2, -1, j, -2/13, 11? -2/13 Suppose 3*r + i - 14 = 0, 0 = r - i + 6 - 16. Let l be -3*(r - 1)/(-5). Let k be (-1)/((-7)/(-56)) + 0 + 3. Which is the smallest value? (a) k (b) l (c) 5 a Suppose 8*m - 108 = -4*m. Let p be ((-53)/(-114) + 1/(-2))*3. What is the fourth biggest value in 0.3, m, p, 1/3? p Suppose v - 5*v + 25 = -l, 0 = -l - 5. Suppose -2*h = -m + 6, -3*m - 3*h = -v*m + 8. Let a = -4.05 + 0.05. What is the biggest value in 15, a, m? 15 Suppose -57*y = -64*y + 35. Suppose -2*l + 4*g = 3*g + 8, 20 = -y*l + 5*g. Which is the second smallest value? (a) 0.4 (b) 49 (c) l a Let p be (2/(0 - 2))/(-1). Suppose p = -3*x + 2*k, 9 + 1 = 5*x - k. What is the third smallest value in x, -0.8, 0? x Suppose -2*m + 4*z + 29 = 3*m, 4*z + 19 = 3*m. Suppose m*x - 88 = -78. What is the biggest value in -29, x, 2/9? x Let i = 169.7 + 43.3. Let f = -213.5 + i. Which is the smallest value? (a) -0.9 (b) -4/3 (c) f (d) -0.3 b Let a = 343055 + -9265214/27. Suppose 3*o + 3 = 0, -3*i = -0*o - 4*o + 299. Let q = i - a. What is the biggest value in q, 0.2, -2? 0.2 Let x = -65693 + 65696. Let z be (-7)/(-36) + 1/4. Which is the smallest value? (a) z (b) x (c) 2 (d) -0.1 d Let p = -5422 + 5418. Which is the biggest value? (a) -0.07 (b) p (c) -2 (d) -47 a Let i = -9590 - -9585. What is the second biggest value in -6/11, i, -14/5? -14/5 Let s be 14/10 - (-1 + 2). Suppose 0*c + 18*c + 54 = 0. Let q = -322/13 + 657/26. What is the fourth biggest value in s, -2, c, q? c Let m be (-3)/(-2) - 3/9. Suppose 2*j + 10 = 0, 4*i + 21*j + 41 = 16*j. Let w(d) = -3*d + 17. Let t be w(6). What is the biggest value in m, i, t? m Suppose -u = -331 + 330. Let v be (-2)/u*7/84. Which is the second smallest value? (a) 1/4 (b) v (c) -9 b Let t = 6324.6 - 6325. What is the second smallest value in 189, t, -4? t Let l = 36.82 + -37.02. Which is the fourth smallest value? (a) 6 (b) -2/3 (c) -1 (d) l a Let h = -10 + 10.07. Let j = h + -0.05. Suppose 53*o + l - 6 = 52*o, -5*l = 6*o - 28. Which is the biggest value? (a) j (b) -1 (c) o (d) 2/9 d Let p = -0.07498 + 0.07498. Which is the fourth biggest value? (a) 45 (b) -3/4 (c) -0.2 (d) p b Let b = -1381/19149 - -48/491. What is the smallest value in 0.2, b, -17? -17 Let n = 113/2 + -55. Let r = -711 - -729. Which is the biggest value? (a) n (b) r (c) -3/4 (d) -4 b Let n be -2 + 10/(-4 - -3 - -3). Let y(l) = 5*l**2 - 13*l + 46. Let v be y(n). What is the third smallest value in -3, v, -5? v Let j = -8114 + 8117. Which is the fourth smallest value? (a) 0.05 (b) 2/19 (c) 10 (d) -1 (e) j e Suppose 0 = -v + 3*z + 13 + 4, -5*z + 37 = 3*v. Let w = v - 9. Let n = -10.71 + 10.64. What is the fourth smallest value in w, -0.5, n, 0? w Let d be (8800/(-640))/((-22)/4). Let w = 15 - 15.7. Which is the third smallest value? (a) w (b) 1/2 (c) d c Let p = 1419/2 - 708. Suppose 6*s - 2*s + 16 = 0. Which is the third smallest value? (a) s (b) 14 (c) p b Let v = 0.401 + 38.199. Let z = v + -38.9. Which is the biggest value? (a) z (b) -9/4 (c) 5 c Let v = 0.081 - -42.919. Let y = v + -42. Let f = 2.7 - 8.7. What is the fourth biggest value in 3/8, -5, y, f? f Suppose -9 = -2*c + c - 5*u, 4*c - 57 = u. Suppose -245 = -c*x + 7. Let q be (-498)/9 + 6/x. What is the biggest value in q, 0.5, 3? 3 Let m = -5055 + 5406. Which is the second biggest value? (a) m (b) 5 (c) 0.3 b Suppose -7 = 658*q - 651*q. Let g(t) = -t**2 + 1. Let i be g(0). Let a be i/19*(-12)/(-6). What is the third smallest value in 0.1, q, 13, a? a Let r = -4/73259 - 136481497/366295. Let u = 372 + r. What is the biggest value in 0.1, u, -293? 0.1 Let a = -92/371 + -2/53. Let m = -43660 + 43659.7. What is the second smallest value in a, -2, m, -5/3? -5/3 Let j = -599.4 + 597.4. Suppose 4*l + 13 = -7. Which is the fourth smallest value? (a) 4/5 (b) l (c) j (d) -51 a Suppose -5*x + 28 = -4*x. Let r be (x/(-3))/((-4)/6). Suppose 0 = 5*u + 3*b + 41, 2*u + 3*b - b = -r. What is the smallest value in 2/3, 2, u? u Suppose -5*s - f + 68 = -2*s, -4*s + 112 = -4*f. Let j = -7 - -5. Let c be j/1 - s/(-9). What is the third smallest value in c, -2, -0.3? c Let f = 1.4 + -1.9. Let k(x) = -22*x**3 + 59*x**2 - 54*x - 4. Let l be k(1). What is the second smallest value in -1/10, l, f? f Let o = 589 + -13549/23. Let v = -0.016 - -13.316. Let j = 13.8 - v. Which is the second biggest value? (a) -3/8 (b) o (c) 0 (d) j c Let g = -1159.2 - -1159.3. Which is the second biggest value? (a) g (b) 2/7 (c) -10 (d) -4 (e) -2/11 a Let k = -1/9366 - 28093/46830. Which is the biggest value? (a) k (b) 1/17 (c) 0 (d) -4 (e) 11 e Let f = 20 + -6. Let l = -15 + f. Which is the smallest value? (a) 3 (b) l (c) 1.2 b Let l = -1199.2 + 1305. Let v = l + -106. Which is the second biggest value? (a) -3 (b) -2/13 (c) v c Let g = -71.038 + 71. Let v = g + 45.038. Let y = -35 + v. What is the smallest value in y, 1, 4? 1 Let p be (4/12)/(-12 - (-44)/4). Which is the fourth smallest value? (a) -2/5 (b) 0.1 (c) -57 (d) p b Let u = -0.26 - 0.04. Suppose 0*t + 16 = -4*t. Let r = -24.1 + 24.5. What is the second biggest value in r, u, t? u Let s = 968.8 + -974.8. What is the third biggest value in -1.2, -3, s? s Suppose 2*l + 5*q - 466 = 0, -857 = -5*l + 4*q + 275. Let w = l + -233. Which is the third smallest value? (a) -1 (b) w (c) -0.05 (d) 1 c Let g(y) = -28*y - 356. Let h be g(-13). Which is the third smallest value? (a) 2 (b) 0.3 (c) h (d) -2 a Let d = -6176 + 6208. Which is the second smallest value? (a) d (b) 49 (c) -2 a Let o = 83153.299 - 83272. Let d = 0.299 - o. Let l = d + -116. Which is the third biggest value? (a) l (b) 2/7 (c) -1/3 c Let n = 217 + -214. Let u
{ "pile_set_name": "DM Mathematics" }
h Collect the terms in -75*n**2 - 286*n**2 + 371*n**2 - 193*n**2. -183*n**2 Collect the terms in 0 - 9 + 414161*r**3 + 9. 414161*r**3 Collect the terms in 8120*f - 2 + 0 - 8112*f. 8*f - 2 Collect the terms in 47 - 160*v**2 + 53 - 100 + 90*v**2 + 34*v**2 + 55*v**2. 19*v**2 Collect the terms in 1259015 + 37*z - 1259015 - 10*z. 27*z Collect the terms in -45709*u**2 + 329859*u**2 + 97816*u**2. 381966*u**2 Collect the terms in 5*b**2 - 33688*b**3 + 7757 - 7757 + 33716*b**3. 28*b**3 + 5*b**2 Collect the terms in 86 + 103 + 32 + 827*d. 827*d + 221 Collect the terms in 78*f + 74*f + 495 - 113*f - 37*f. 2*f + 495 Collect the terms in -61 - 2*m**3 - 402 + 225. -2*m**3 - 238 Collect the terms in -14 - 18871*v - 48 + 9431*v + 9437*v. -3*v - 62 Collect the terms in -3 + 1715983*r + 5 + 397877*r. 2113860*r + 2 Collect the terms in -311595*v + 623146*v - 311551*v - 721*v**2. -721*v**2 Collect the terms in -2 + 470907041721*t**3 + 2 - 470907041784*t**3. -63*t**3 Collect the terms in 65*l - 32*l - 33*l + 227717*l**2. 227717*l**2 Collect the terms in -74*y + 237 + 26*y + 92 + 42*y - 414 + 85. -6*y Collect the terms in -25*l**2 + 25*l**2 - 8514*l**3 + 7721*l**3. -793*l**3 Collect the terms in -4167*m**3 - 17*m - 11*m - 2799*m**3 + 30*m. -6966*m**3 + 2*m Collect the terms in -17*v**3 + 55615849*v**2 - 55615849*v**2. -17*v**3 Collect the terms in -12521*k**3 + 20198*k**3 + 18864*k**3 + 14663*k**3. 41204*k**3 Collect the terms in 2*m**2 - 5*m**2 + 7*m**2 - 7*m**2 + 13 - 9 + 2*m**2. -m**2 + 4 Collect the terms in j**2 + 102*j**2 + 15 - 48*j**2 - 64*j**2 - 28 + 13. -9*j**2 Collect the terms in 567*q**2 - 1678*q**2 + 561*q**2 + 107*q + 552*q**2 + 322*q - 123*q. 2*q**2 + 306*q Collect the terms in 334*t - 24978 - 336*t + 602. -2*t - 24376 Collect the terms in -14*l - 19*l - 22244 + 31*l. -2*l - 22244 Collect the terms in 210*s**2 - 2050*s + 1082*s + 8 - 8 + 968*s. 210*s**2 Collect the terms in 30*z**2 - 268 - 908*z - 3*z**3 + 123 - 30*z**2 + 908*z. -3*z**3 - 145 Collect the terms in 53977 - 245929*y - 53977 + 245907*y. -22*y Collect the terms in 1260329 - 37*n**3 - 15*n**3 - 1260334. -52*n**3 - 5 Collect the terms in 7 + 1111*w**2 - 1798*w**2 - 1202*w**2 + 171266*w - 171266*w. -1889*w**2 + 7 Collect the terms in 3676*n + 3674*n + 3671*n - 11028*n. -7*n Collect the terms in 156 + 10*i**2 - 3*i**3 + 259 + 2*i**3 - 415. -i**3 + 10*i**2 Collect the terms in 41*k**2 + 6*k**2 + 35*k**2 + 9*k**2 + 4*k**3 + 4*k**2. 4*k**3 + 95*k**2 Collect the terms in -104*s**2 + 38 - 38 - 97*s**2 + 304*s**2 - 3*s**3 - 99*s**2. -3*s**3 + 4*s**2 Collect the terms in -5*x + 2 - x - 1 + 21*x - 11*x. 4*x + 1 Collect the terms in -3 + 71*s - 282*s**2 + 3 + 51*s + 47*s - 167*s. -282*s**2 + 2*s Collect the terms in 217*o**2 - 1013*o**2 + 199*o**2 + 205*o**2 - 2 + 217*o**2 + 211*o**2. 36*o**2 - 2 Collect the terms in 7061*h**2 + 11*h + 2*h + 3*h - 23*h + 9*h. 7061*h**2 + 2*h Collect the terms in -9*g + 9*g - 3380262*g**2. -3380262*g**2 Collect the terms in 2*c**2 + 5924*c + 246*c + 2041*c. 2*c**2 + 8211*c Collect the terms in 93 - 192 + 91*h + 94 + 69 - 98*h. -7*h + 64 Collect the terms in -60642*d - 223811*d - 107761*d + 66813*d. -325401*d Collect the terms in -77202 + 77204 + 3100*x**2 - 1143*x**2. 1957*x**2 + 2 Collect the terms in -1288*m**3 + 563*m**3 + 4*m**2 + 726*m**3 + 975*m. m**3 + 4*m**2 + 975*m Collect the terms in 40009*i - 79772*i + 15 - 57*i**2 - 15 + 39763*i. -57*i**2 Collect the terms in 174*i**3 - 3128131508*i**2 + 3128131508*i**2. 174*i**3 Collect the terms in 407 + 358*h**2 - 827 - 360*h**2 + 420 - 110*h. -2*h**2 - 110*h Collect the terms in 46*l + 391 + 411 - 1184 + 382. 46*l Collect the terms in -2592*q**2 - 2583*q**2 - 353*q - 200*q + 150*q + 7757*q**2 - 2584*q**2. -2*q**2 - 403*q Collect the terms in -3734*p - 4355*p - 3497*p - 2663*p + 3577*p + 966*p. -9706*p Collect the terms in -2*d**2 - 1429 + 8399 - 3597 + 7962. -2*d**2 + 11335 Collect the terms in -68*u**2 + 19565695 - 19565695. -68*u**2 Collect the terms in -15051821*b + 7525872*b + b**2 + 7525949*b - 2*b**2. -b**2 Collect the terms in 16*u**3 - 55*u**3 + 31*u**3 + 4*u**2. -8*u**3 + 4*u**2 Collect the terms in 24*h + 36*h - 103*h + 648*h**2 + 40*h - 603*h**2. 45*h**2 - 3*h Collect the terms in 101*s - 241*s - 2224 + 111*s + 4446 - 2222. -29*s Collect the terms in -2875*i - 2050*i - 301*i. -5226*i Collect the terms in -493*g - 489*g + 776*g - 758 + 758 + 205*g. -g Collect the terms in -9021*a**2 + 4 + 9344*a**2 + a - a. 323*a**2 + 4 Collect the terms in 1554*x**2 + 3566*x**2 + x**3 - 4*x**3 + 1618*x**2. -3*x**3 + 6738*x**2 Collect the terms in 61186*g**3 - 28962*g**3 + 19973*g**3 + 294463*g**3. 346660*g**3 Collect the terms in -892803*o**2 + 1681681*o**2 - 11976941*o**2. -11188063*o**2 Collect the terms in -441*t + 1049*t - 366*t - 511*t. -269*t Collect the terms in 374667 - 17597*a - 374668 + 17597*a + 2*a**3. 2*a**3 - 1 Collect the terms in 96*z**3 - 125668*z**2 + 50*z**3 + 251353*z**2 - 125685*z**2. 146*z**3 Collect the terms in -1 - 1583425*f**2 + 370372*f**2 - f + f. -1213053*f**2 - 1 Collect the terms in -1 - 5*v**2 + 19*v**2 - 68*v**2 - 41*v**2 + 0. -95*v**2 - 1 Collect the terms in -24081*a**2 - 24082*a**2 - 24081*a**2 + 72244*a**2 + 123*a**3. 123*a**3 Collect the terms in -294592*k**3 - 30682*k**2 + 30682*k**2 + 294551*k**3. -41*k**3 Collect the terms in -11*k**2 - 18008279*k + 18008279*k - 1377*k**2. -1388*k**2 Collect the terms in 895*y - 318*y - 541*y - 2*y**2. -2*y**2 + 36*y Collect the terms in -1 - 55*x**3 + 401789*x**2 + 401784*x**2 - 1205361*x**2 + 401788*x**2. -55*x**3 - 1 Collect the terms in 105*a**2 + 118*a**2 + 104*a**2 - 433*a**2 - 66*a**3 + 106*a**2. -66*a**3 Collect the terms in 180471 - 360943 + 2137*q**2 + 180467. 2137*q**2 - 5 Collect the terms in 114819 + 114823 - 229642 - 227*g. -227*g Collect the terms in 2091*b**3 - 1048*b**3 - 1057*b**3. -14*b**3 Collect the terms in -105*g**2 - 555522029193 + 555522029193. -105*g**2 Collect the terms in -70889*z**3 + 5828235*z**3 + 338654*z**3. 6096000*z**3 Collect the terms in -70536*x**3 - 236 + 218 + 70929*x**3. 393*x**3 - 18 Collect the terms in 4*w**3 + 2*w**3 - 2*w**3 + 6*w**3 - 7*w**3 - 25*w**2 + 41*w. 3*w**3 - 25*w**2 + 41*w Collect the terms in -2 - 12 - 27667838929*v + 27667838927*v. -2*v - 14 Collect the terms in -3711*h - 1743*h - 573*h**2 + 575*h**2. 2*h**2 - 5454*h Collect the terms in -485*j**2 - 441*j**2 + 1810*j**2 - 438*j**2 - 443*j**2. 3*j**2 Collect the terms in 0*p**3 - 1805*p + 454*p + 2*p**3 + 474*p + 410*p + 467*p. 2*p**3 Collect the terms in 12*s**2 - 1077 - s + 7*s**2 + s**3 - 19*s**2. s**3 - s - 1077 Collect the terms in 150*t - 13*t**2 - 9*t**2 - 12*t**2 + 3749 - 3746. -34*t**2 + 150*t + 3 Collect the terms in 73 + 792*g + 465 - 802*g. -10*g + 538 Collect the terms in -36990*q**3 + 72251*q**3 - 38719*q**3. -3458*q**3 Collect the terms in 3341*a**2 + 573*a**2 + 122*a**2. 4036*a**2 Collect the terms in -233*i**2 + 198*i + 363*i**2 - 93*i - 105*i - 133*i**2. -3*i**2 Collect the terms in -2 + 123*w + 3 - 36*w + 179*w - 77*w. 189*w + 1 Collect the terms in -869*x - 4676*x + 808*x. -4737*x Collect the terms in 12229668*c - 12229720*c - 250 + 250. -52*c Collect the terms in 309*l**3 + 360*l**3 - 1468*l**3 + 336*l**3 + 339*l**3 + 267*l**3. 143*l**3 Collect the terms in 649*t - 4 - 174*t - 469*t. 6*t - 4 Collect the terms in -2589931*s - 556084*s - 2761372*s - 2978056*s. -8885443*s Collect the terms in -1126*m**2 - 10550*m**2 - 3*m - 8*m**3 + 2*m**3 + m**3. -5*m**3 - 11676*m**2 - 3*m Collect the terms in -8*h**2 + 8*h**2 - 6*h**3 - 141105. -6*h**3 - 141105 Collect the terms in -12456*g**2 + 24881*g**2 - 12539*g**2. -114*g**2 Collect the terms in 6075*p - 3032*p + 41 - 3029*p. 14*p + 41 Collect the terms in -68843*y + 1164831*y + 1308519*y. 2404507*y Collect the terms in 19*z + 739 - 15*z**3 + 16*z**3 - 763. z**3 + 19*z - 24 Collect the terms in -103*o**2 + 197*o**2 + 485 - 484 - 99*o**2. -5*o**2 + 1 Collect the terms in -24*k + 95*k - 29*k - 26*k - 26*k. -10*k Collect the terms in -3296 + 416 - 1157 + 1207 - 4356 + 3*y**2. 3*y**2 - 7186 Collect the terms in -2 + 2442*q**2 + 1 + 497*q**2 + 12 + 495*q**2. 3434*q**2 + 11 Collect the terms in 20572*c**3 - 34*c**2 + 25*c**2 + 9*c**2. 20572*c**3 Collect the terms in -5793*z**2 + 8110*z*
{ "pile_set_name": "DM Mathematics" }
maller: -0.2361 or -10/29? -10/29 Is -76.18 > 1/2? False Which is smaller: -805 or -784? -805 Which is greater: -18 or 64098? 64098 Is -36510 bigger than -36502? False Is 0.04 <= -64.58? False Which is bigger: 7/13 or -683? 7/13 Which is smaller: -78969 or -78968? -78969 Which is smaller: -0.05 or 3976? -0.05 Is -21/90938 smaller than 0? True Is 0 > 159/1006? False Which is smaller: -580/9639 or -1? -1 Is 61/4 bigger than -46? True Which is bigger: 5/1554921 or 1? 1 Is 0 >= -260/2061? True Is 0 < 21/1146868? True Which is greater: 0.055687 or -1/13? 0.055687 Which is smaller: 62/150303 or 1? 62/150303 Which is greater: -1886050 or -1886047? -1886047 Which is bigger: 195820 or 1/3? 195820 Is -86383 at most -86372? True Which is greater: -4362/3343 or -2? -4362/3343 Is 5/8 > 42543? False Which is bigger: 35722 or 35766? 35766 Which is greater: -837 or -861? -837 Which is smaller: 1 or -2/277091? -2/277091 Which is smaller: -1605 or -107464/67? -1605 Is -2/25 < 3379? True Which is smaller: -89 or 1210? -89 Is 1/4 greater than or equal to 142505? False Which is smaller: 2/1240501 or 0? 0 Is 1/1777 at least -3? True Does 3/2358056 = 0? False Is -60 greater than or equal to -54? False Is 29877 smaller than 29872? False Is -854 at most as big as -610? True Are -14383 and -14382 non-equal? True Which is smaller: 93055 or 93057? 93055 Which is smaller: -8825 or -8826? -8826 Which is greater: 231177 or 231178? 231178 Which is greater: -2164 or -11.7? -11.7 Which is greater: 5/6644 or 0? 5/6644 Is 3521244 greater than 3521244? False Is -118158 >= 12? False Which is greater: 28392 or 0? 28392 Which is smaller: 6235/432 or 14? 14 Which is smaller: -1 or 1/22945? -1 Is 24893 at least as big as 24891? True Which is smaller: -1/74 or 431/3? -1/74 Is 27708 < 27717? True Which is bigger: -3159 or -2889? -2889 Which is smaller: -5/114622 or -1? -1 Which is smaller: 139704 or 1? 1 Are 1 and 265/1361 unequal? True Do 2/9091 and -37 have different values? True Is 5720948 > 5720948? False Do 1 and 3339/2183 have the same value? False Which is smaller: 287 or 0.346? 0.346 Which is smaller: 2/31 or 359? 2/31 Do -244798 and -244798 have different values? False Is 99/7 equal to 226? False Is 18904 >= 18908? False Which is bigger: -28 or 4733/5? 4733/5 Which is bigger: 6 or 165/26? 165/26 Is 8231538 less than or equal to 8231537? False Which is bigger: 181576/107 or 1697? 1697 Are 19743 and 139 non-equal? True Is -361 not equal to -119? True Which is greater: -3/244456 or -1? -3/244456 Is 3658 at least 3667? False Is 415 less than -2945? False Which is bigger: -1 or -92/153661? -92/153661 Which is smaller: 15 or 0.13273? 0.13273 Is -70 less than 55? True Which is smaller: -3664908 or -3664907? -3664908 Which is greater: 8/1561159 or 0? 8/1561159 Which is greater: -1277641 or -1277635? -1277635 Is 17110 at least 427738/25? True Which is smaller: 4262 or -4/7? -4/7 Which is smaller: 1049/270 or 4? 1049/270 Are -331916 and -331917 equal? False Which is bigger: -38 or -24929? -38 Which is greater: -1/128 or 155? 155 Is 744273 != 744273? False Which is greater: -5262 or 0.04? 0.04 Which is bigger: -25828 or -25826? -25826 Is -9/25756 >= 1? False Which is smaller: -929/37 or -24? -929/37 Is -26188 greater than -26188? False Which is bigger: -2632 or -2/17? -2/17 Is -102 at least as big as 11? False Which is bigger: 40634/3 or -2/45? 40634/3 Is -387559 at least -387559? True Is -1012/7 > 0.4? False Is -1 less than -15/4921? True Which is bigger: -3.962 or -945? -3.962 Is 9863 at least as big as 0.197? True Is 92537 greater than or equal to 92536? True Which is smaller: -796 or -738? -796 Is -7019 < -189533/27? False Which is smaller: -2041/44 or -47? -47 Are 0.0061 and 15 nonequal? True Is 1/2 greater than 2064? False Is 10972 at least as big as 11134? False Which is greater: 8 or -0.06876? 8 Which is bigger: 23628 or 23587? 23628 Which is greater: -6297.8 or -1/5? -1/5 Is -53043 equal to -53043? True Which is greater: -1 or -2/190519? -2/190519 Which is bigger: 231486 or 1620404/7? 1620404/7 Which is greater: 1139/8 or 142? 1139/8 Which is greater: -6 or -6/407? -6/407 Which is smaller: 3 or -1.2627? -1.2627 Which is bigger: 516 or -2/421? 516 Which is greater: -7355/204 or -36? -36 Does -528345 = -528352? False Which is greater: 52/35 or 2/3? 52/35 Which is smaller: -1421 or 53? -1421 Which is bigger: -35455 or -248186/7? -35455 Is 64/15 less than or equal to -25? False Which is smaller: -4 or -2/14549? -4 Which is bigger: -1703/19 or -91? -1703/19 Which is greater: -34387/18 or -1910? -1910 Which is greater: 592 or 597? 597 Which is bigger: -1367 or -1340? -1340 Is 61507 <= 61507? True Which is smaller: 98137 or -4? -4 Is -4/131075 != 0? True Are -758/733 and 0 non-equal? True Which is bigger: 11802 or 47205/4? 11802 Which is smaller: -1062/55 or -19? -1062/55 Which is smaller: 1536 or 1595? 1536 Is 9 <= 5963? True Which is smaller: 63/200 or 51? 63/200 Is 82935 greater than or equal to 82937? False Is -14666 >= -93? False Is -42.22 smaller than -0.05? True Do 61338 and 61339 have different values? True Which is greater: -497798/3 or -165934? -497798/3 Which is bigger: -30269 or -272419/9? -272419/9 Which is greater: -38991/35 or -1115? -38991/35 Is -460 bigger than -1420? True Is 28 at least 103? False Are 70/22529 and 0 unequal? True Which is bigger: 1771 or -556? 1771 Which is smaller: -14318/381 or -39? -39 Is 1582 greater than or equal to 12647/8? True Which is smaller: -453/38 or 0.4? -453/38 Is 5 < -87578? False Is -2/1579 >= 1? False Is 106041 >= 106042? False Is -3 <= -1182/419? True Which is smaller: 23.2807 or 2? 2 Do -4/387899 and 1 have the same value? False Which is smaller: -2468/119 or -20? -2468/119 Which is smaller: 1/12 or -10.753? -10.753 Which is smaller: -16.072 or 2/5? -16.072 Do 1/20 and -191.97 have the same value? False Which is smaller: 1 or -2/81807? -2/81807 Is 1 greater than -7/56311? True Which is smaller: -234016 or -2574174/11? -234016 Which is greater: -5275183/4 or -1318796? -5275183/4 Is -72200 bigger than 3? False Does -4832 = 1.3? False Which is greater: 12851 or 12848? 12851 Which is smaller: -245/426 or -1? -1 Which is smaller: 0 or 3848/3? 0 Is 4349 smaller than 4370? True Is 704 <= 1084? True Is 0.00262 <= -0.7? False Is 16971/11 < -0.05? False Which is greater: 635 or 786? 786 Is 28826 > 28826? False Which is smaller: 0 or 2/17543401? 0 Which is bigger: 628793 or 2515167/4? 628793 Which is greater: -1 or 8242255? 8242255 Is -70844 at least -70844? True Is -6 < 150.66? True Is -172 at least as big as 161? False Is 3024 at least as big as -831? True Which is smaller: -13667 or -13497? -13667 Is 66138 bigger than 66134? True Is -5221 less than -5/7? True Which is smaller: 1/383664 or 0? 0 Which is greater: -17 or 60576? 60576 Is -358 less than -474? False Which is smaller: -197/34 or -5? -197/34 Is -13514 smaller than -13522? False Is 83.63 greater than or equal to -80? True Which is smaller: 334 or -3510? -3510 Is -104747 greater than or equal to -104748? True Are -1 and 2/276505 equal? False Is 19607 at most 19424? False Which is greater: 1 or -2/3214851? 1 Which is smaller: 446/19 or -11? -11 Do 0.1 and 5/15162 have the same value? False Is 25973 > 25943? True Which is smaller: -1369.58 or -0.1? -1369.58 Which is smaller: -1487/2 or -0.16? -1487/2 Are 11 and -872 equal? False Which is bigger: -2/109863 or 0? 0 Which is smaller: -1/3067 or 52/9? -1/3067 Is 13 at least as big as -92995? True Which is smaller: 4167 or -6/7? -6/7 Which is smaller: -2987346 or 0.1? -2987346 Which is bigger: 0 or -3.98? 0 Is 1/4 bigger than -4518.74? True Which is bigger: -20229/38 or -532? -532 Which is greater: 517593 or 517590? 517593 Is -1 at most as big as 19/16280? True Which is greater: -196998 or -196996? -196996 Is 0 <= 742/851? True Is -155426 > -155428? True Is -559425 at most as big as -559428? False Which is smaller: -2889 or -5777/2? -2889 Which is greater: -13565 or -13653? -13565 Do 0 and 3/370831 have different values? True Do -0.152824 and -3 have the same value? False Which is greater: -5/127497 or 1? 1 Is -308846 less than -308844? True Is -4222/593 at least as big as -7? False Which is smaller: 98 or 53? 53 Which is greater: 0.1
{ "pile_set_name": "DM Mathematics" }
8640 is divided by 133? 128 Calculate the remainder when 1758 is divided by 568. 54 What is the remainder when 9513 is divided by 49? 7 Calculate the remainder when 70678 is divided by 12. 10 Calculate the remainder when 63 is divided by 11. 8 Calculate the remainder when 6106 is divided by 2810. 486 What is the remainder when 5848 is divided by 730? 8 What is the remainder when 1016002 is divided by 66? 64 What is the remainder when 5913805 is divided by 1077? 1075 What is the remainder when 16986 is divided by 705? 66 What is the remainder when 1187 is divided by 290? 27 What is the remainder when 72383 is divided by 24126? 5 Calculate the remainder when 2182 is divided by 746. 690 What is the remainder when 140689 is divided by 1108? 1081 Calculate the remainder when 38799 is divided by 462. 453 Calculate the remainder when 16404 is divided by 21. 3 What is the remainder when 12811 is divided by 12746? 65 What is the remainder when 2004 is divided by 800? 404 Calculate the remainder when 1779 is divided by 749. 281 Calculate the remainder when 17965 is divided by 1197. 10 What is the remainder when 1767197 is divided by 235? 232 Calculate the remainder when 16053 is divided by 82. 63 Calculate the remainder when 15285 is divided by 168. 165 Calculate the remainder when 25035 is divided by 48. 27 Calculate the remainder when 21994 is divided by 34. 30 What is the remainder when 99222 is divided by 33071? 9 What is the remainder when 207583 is divided by 659? 657 Calculate the remainder when 1154371 is divided by 2295. 2281 Calculate the remainder when 6732 is divided by 104. 76 What is the remainder when 883 is divided by 276? 55 What is the remainder when 2444 is divided by 160? 44 What is the remainder when 489309 is divided by 38? 21 What is the remainder when 24357 is divided by 310? 177 What is the remainder when 13694 is divided by 133? 128 Calculate the remainder when 20626 is divided by 89. 67 Calculate the remainder when 24844 is divided by 6211. 0 Calculate the remainder when 371979 is divided by 1166. 25 What is the remainder when 23831 is divided by 121? 115 Calculate the remainder when 16157 is divided by 15679. 478 Calculate the remainder when 273583 is divided by 178. 175 What is the remainder when 12026 is divided by 3970? 116 Calculate the remainder when 4758928 is divided by 207. 205 Calculate the remainder when 115614 is divided by 164. 158 What is the remainder when 4245 is divided by 232? 69 Calculate the remainder when 94774 is divided by 24. 22 What is the remainder when 5078 is divided by 78? 8 What is the remainder when 3272 is divided by 2868? 404 Calculate the remainder when 1777 is divided by 294. 13 Calculate the remainder when 3108 is divided by 1400. 308 What is the remainder when 928786 is divided by 709? 705 What is the remainder when 22603 is divided by 294? 259 What is the remainder when 22339 is divided by 7440? 19 What is the remainder when 196468 is divided by 91? 90 Calculate the remainder when 2586 is divided by 516. 6 Calculate the remainder when 192 is divided by 75. 42 Calculate the remainder when 122471 is divided by 24492. 11 Calculate the remainder when 570 is divided by 452. 118 What is the remainder when 2083 is divided by 36? 31 Calculate the remainder when 110125 is divided by 55052. 21 Calculate the remainder when 85201 is divided by 2366. 25 What is the remainder when 1773 is divided by 237? 114 What is the remainder when 2249 is divided by 1360? 889 Calculate the remainder when 11828 is divided by 695. 13 Calculate the remainder when 4627 is divided by 38. 29 Calculate the remainder when 3824 is divided by 291. 41 What is the remainder when 43066 is divided by 46? 10 What is the remainder when 7436 is divided by 2431? 143 What is the remainder when 106010 is divided by 122? 114 Calculate the remainder when 1140 is divided by 643. 497 What is the remainder when 88070 is divided by 4632? 62 What is the remainder when 25850 is divided by 417? 413 What is the remainder when 876 is divided by 289? 9 Calculate the remainder when 10360 is divided by 678. 190 Calculate the remainder when 239997 is divided by 60. 57 What is the remainder when 162953 is divided by 8? 1 Calculate the remainder when 1105 is divided by 947. 158 Calculate the remainder when 34146 is divided by 27. 18 What is the remainder when 232 is divided by 152? 80 What is the remainder when 9234 is divided by 1563? 1419 What is the remainder when 4910 is divided by 3? 2 Calculate the remainder when 9881 is divided by 17. 4 What is the remainder when 69274 is divided by 56? 2 What is the remainder when 64103 is divided by 32024? 55 Calculate the remainder when 1122667 is divided by 237. 235 What is the remainder when 57243 is divided by 53? 3 Calculate the remainder when 10016 is divided by 343. 69 What is the remainder when 889017 is divided by 1400? 17 What is the remainder when 9371 is divided by 1325? 96 Calculate the remainder when 6517 is divided by 1272. 157 Calculate the remainder when 6904 is divided by 1373. 39 What is the remainder when 4553 is divided by 159? 101 Calculate the remainder when 469486 is divided by 190. 186 Calculate the remainder when 355787 is divided by 9. 8 Calculate the remainder when 9410 is divided by 2180. 690 What is the remainder when 100876 is divided by 50435? 6 Calculate the remainder when 58034 is divided by 1707. 1703 Calculate the remainder when 22152 is divided by 38. 36 Calculate the remainder when 772035 is divided by 74. 67 Calculate the remainder when 38225 is divided by 555. 485 What is the remainder when 21525 is divided by 229? 228 What is the remainder when 36697 is divided by 67? 48 What is the remainder when 19090 is divided by 2386? 2 Calculate the remainder when 1142656 is divided by 353. 348 Calculate the remainder when 14659 is divided by 35. 29 Calculate the remainder when 237426 is divided by 333. 330 What is the remainder when 76311 is divided by 89? 38 What is the remainder when 552599 is divided by 9? 8 Calculate the remainder when 161202 is divided by 2. 0 What is the remainder when 10855 is divided by 46? 45 Calculate the remainder when 133258 is divided by 1803. 1639 Calculate the remainder when 9587 is divided by 2392. 19 Calculate the remainder when 2174 is divided by 394. 204 Calculate the remainder when 480 is divided by 80. 0 Calculate the remainder when 461025 is divided by 373. 370 What is the remainder when 334879 is divided by 50? 29 Calculate the remainder when 980 is divided by 107. 17 Calculate the remainder when 5402 is divided by 1757. 131 Calculate the remainder when 30161 is divided by 5023. 23 Calculate the remainder when 26215 is divided by 728. 7 Calculate the remainder when 5093743 is divided by 488. 487 What is the remainder when 128807 is divided by 330? 107 What is the remainder when 4287 is divided by 2134? 19 Calculate the remainder when 1708 is divided by 815. 78 Calculate the remainder when 137748 is divided by 950. 948 Calculate the remainder when 11120 is divided by 445. 440 Calculate the remainder when 9630 is divided by 874. 16 What is the remainder when 174277 is divided by 87134? 9 What is the remainder when 22458 is divided by 621? 102 What is the remainder when 3517 is divided by 588? 577 What is the remainder when 146641 is divided by 48877? 10 Calculate the remainder when 198590 is divided by 824. 6 What is the remainder when 1356526 is divided by 35? 31 What is the remainder when 7568 is divided by 62? 4 What is the remainder when 2141 is divided by 371? 286 What is the remainder when 7718 is divided by 558? 464 Calculate the remainder when 7708 is divided by 882. 652 What is the remainder when 71829 is divided by 71821? 8 Calculate the remainder when 33260 is divided by 29. 26 Calculate the remainder when 6209 is divided by 40. 9 Calculate the remainder when 7005 is divided by 370. 345 Calculate the remainder when 80402 is divided by 1005. 2 What is the remainder when 101630 is divided by 256? 254 Calculate the remainder when 62161 is divided by 70. 1 What is the remainder when 233872 is divided by 236? 232 What is the remainder when 3802 is divided by 380? 2 Calculate the remainder when 2261 is divided by 2225. 36 Calculate
{ "pile_set_name": "DM Mathematics" }
e f + 2*f = -15, 3*f + 10 = i. Let j(k) = k. Suppose -10 = 5*g - o, 0 = -o - 5. Let p be j(g). Which is the closest to 2/3? (a) -1 (b) p (c) i a Suppose 0 = -i - 1 + 2. Which is the closest to 0? (a) -2 (b) i (c) 3 b Let v = -62 + 61.95. What is the nearest to 2 in -2/9, v, 4/3? 4/3 Let y = -14 - -14.5. Let o be 6/20*5/(-6). Let p = 1 + -2. What is the closest to p in o, -1/7, y? o Suppose 3*j = -4*h - 15, -4*h + 6 = -3*j - 5*h. Which is the closest to j? (a) 4 (b) 5 (c) -3/5 c Let n = -4.93 + -0.07. Let q = 48/11 - 284/55. Which is the nearest to -1/2? (a) -0.1 (b) n (c) q c Let l = -0.054 + -3.946. Which is the closest to 3? (a) -2/5 (b) -2/9 (c) l b Let s = -16 - -11. Let i be ((-12)/10)/((-2)/10). Let j be (1/s)/(i/15). What is the closest to 0 in j, 0.1, 3? 0.1 Let x = 165 - 163. What is the closest to 2 in 0.3, -4, x? x Let d = 0.1 + -0.1. Which is the nearest to 5/4? (a) 2/11 (b) d (c) 2 c Let r = 0.25 - -0.75. Let l = -1.3 - -0.3. Let a = 5.06 + -0.06. What is the closest to l in r, 0.4, a? 0.4 Let d = -8/23 - -86/115. Which is the nearest to d? (a) -2 (b) -0.2 (c) 3 b Suppose 0 = -3*h + 4*h. Let b(f) = -f**3 - 10*f**2 - 7*f + 2. Let t be b(-6). Let p = 503/5 + t. What is the nearest to 0.1 in -0.3, h, p? h Let v = -0.003 - -4.003. What is the nearest to 0 in 2, -1, v? -1 Let t = 3 + -5. Let z = -2/145 + -256/2465. Let g be (-2)/8*(-4)/(-3). Which is the nearest to g? (a) t (b) -3/7 (c) z b Let f = -0.2 + 0.1. Let j be (-10)/(-2)*(-2)/8. Let n = -27 + 30. What is the closest to f in j, n, 4? j Suppose 0*t + 7*t = 35. What is the closest to 0.1 in 3, t, -5? 3 Let j = -0.03 - -0.43. Which is the closest to -1/2? (a) j (b) -3 (c) -4 a Let f = -88 + 85. Suppose 0*c + 27 = -c. Let n be 2/5 + c/5. What is the closest to -0.1 in f, 2, n? 2 Let y be (-15)/10 + 117/(-66) + 2. What is the nearest to 2 in y, 2, 2/7? 2 Let a = -1 + -2. Let u be -2 + 61/(-19)*-85. Let k = u - 271. What is the nearest to 0 in a, k, -2/7? k Let y = 16 - 15.7. Let w = -38 - -38. Which is the closest to w? (a) 1/8 (b) -1 (c) y a Let j = -0.2 - -1.2. Let v = 0 - j. Let r = -3 + 0. Which is the closest to -0.1? (a) r (b) v (c) 3 b Let y(g) = -2*g**3 + g**2 + g. Let o be y(-1). Let q = 124 - 624/5. What is the nearest to 2/7 in q, o, 5/3? q Let z(w) = 3 - 5 + 1 - 2*w**3 + 4*w**2 - w**2. Let k be z(2). Which is the nearest to -1? (a) -0.3 (b) 2/15 (c) k a Let c = 8 - 8.5. What is the nearest to 1/11 in -3, 5, c? c Let m = 20 + -24. Let i be (-6)/(-13)*(-1)/3. Which is the nearest to 3? (a) i (b) m (c) 5 c Let u = 0.74 + -0.24. Let r = 0 - 1.9. Let a = -2 - r. What is the nearest to a in u, 0.3, 0.1? 0.1 Let u = 0.05 + -0.08. Let q = u - 0.07. Let n = 1.1 + q. Which is the nearest to n? (a) -4 (b) -1 (c) -3 b Let i = 0.1 - 0.2. Let u be 2/(-16)*(-11 - -9). What is the nearest to i in u, -3, 3? u Let f = 0.9 - -4.1. Let r = -82/33 - -9/11. Which is the closest to 0? (a) r (b) -0.1 (c) f b Let l = 0.23 - 0.13. What is the nearest to l in -6, -1/2, -2/25? -2/25 Let x = -0.98 + -0.02. Let f = 0.07 + -0.27. What is the nearest to x in f, 0.1, 1? f Let p be 1/(-4) + (-27)/(-76). Which is the closest to 2/3? (a) p (b) -5 (c) 3 a Let p = 3 - 7. Suppose -78 = -5*f - 73. Let n = 6 + -4. Which is the closest to f? (a) 0.2 (b) n (c) p a Let r = 16.6 - 15. Which is the closest to -0.1? (a) 0.1 (b) r (c) -3/7 a Let a be 3/(-2) - 3/6. Let u be (-2 + 2)*a/2. Suppose 3*j + 2*x - 2 = 0, u = -2*j - 6*x + 4*x - 2. What is the nearest to 0.1 in -0.5, 3/4, j? -0.5 Let m be (-4)/(-4)*3/(-24). Which is the nearest to -2/7? (a) m (b) 5 (c) 2/3 a Suppose -4*x + 2*x + 4 = -n, -5*n = 4*x - 8. Suppose 3*p = -q - 8, 4*p + 14 = -2*q - n*p. Let f be ((-6)/(-4))/(15/4). What is the nearest to -1 in -5/2, q, f? f Suppose f - 25 = -4*f. Which is the closest to -0.2? (a) 0.3 (b) -0.3 (c) f b Let k be 6/147*(-7 - -14). Suppose -14 = -3*p + 4. Let w be p/20*(-10)/12. Which is the closest to 1? (a) 2 (b) w (c) k c Let k = 0.4 + -0.34. Let o = k + -0.07. Let z = 2.01 + o. Which is the nearest to 2/5? (a) 1/3 (b) -1/3 (c) z a Let w = -5/4 + 7/4. Let v = 11.4 + -11. What is the nearest to w in -3, 1/10, v? v Let b be ((-10)/6)/(2/(-6)). Let y = -3 + 3.1. Let x = 59 - 64. What is the closest to y in b, x, -4? -4 Suppose 3*m = 4*m + 2. Suppose -2*q + 8 + 0 = 0. What is the nearest to -2/5 in -4, m, q? m Let p = 1.2 + 1.4. Let f = p - 3.6. Which is the nearest to f? (a) 4 (b) 0.5 (c) -4 b Suppose 0*l - 3*l = 0. Suppose 0 = t - l*t - 1. Let n = -60 - -60.2. What is the closest to t in -2/15, n, -3? n Let q be (2/(-4))/((-18)/(-8)). Let m = -4.1 + 0.1. What is the nearest to 1 in 4, q, m? q Let w = 1 - 0. Let k be -1 - -2 - (-292)/(-2). Let y be k/(-140) - 2/7. Which is the nearest to w? (a) -0.4 (b) y (c) 4 b Let y = -0.394 - 0.106. Let v = -0.36 + 0.06. Let l = 2 + 0. Which is the closest to l? (a) 2/13 (b) v (c) y a Let z = -626/13 + 48. Let m be (-16)/10*5/(-2). Let j = m - 11/3. Which is the closest to j? (a) z (b) -5 (c) -1/4 a Suppose 2*l + 28 = l. Let f be 4/l*28/(-24). What is the closest to 0 in -10, f, 0.5? f Let i = -13 - -8. What is the nearest to 0.1 in -3/5, 4, i? -3/5 Let n = -3 + 4. Let x = 6401/5 + -1271. Let j = -9 + x. What is the nearest to 1 in n, 0.4, j? n Let p(v) = v + 1. Let l be p(-3). What is the nearest to 2/3 in 9, l, -1/6? -1/6 Let k = -100/291 + 1/97. Which is the closest to 0? (a) -3 (b) k (c) 4/3 b Let v = 0 + 0.2. Let o = -0.3 + v. Let x = 3.91 - -0.09. Which is the nearest to o? (a) x (b) 0.2 (c) -4 b Let d(p) = p**3 + 5*p**2 - 7*p - 2. Let i be d(-5). Let h = i - 97/3. What is the closest to -2/7 in h, -2, 3? h Let r be (-3)/6*(-7 - 3). What is the nearest to r in 0.5, 4, -0.4? 4 Let c be 2/(0 + 11 - 2). Let f = 3 - 3. What is the closest to f in 0.3, 2, c? c Let x be 10/12*3/1. What is the closest to 0.1 in 2/15, -2/5, x? 2/15 Let w be 4/(-8)*4 + 10/6. Suppose -3*k + 7*k = 3*j + 11, -5*j + 1 = 3*k. Suppose -2*u - k*u - 20 = 0. Which is the closest to w? (a) u (b) -3 (c) 0.2 c Let x = -11/3 - -71/21. Let h = -0.2 + 0.4. What is the closest to x in -2/9, 1/2, h? -2/9 Let q be 4/(-6) - (-6 + 6). Which is the closest to -0.1? (a) -1/7 (b) q (c) 5 a Let v = 3 - 4. Let f = -10 + 10.7. Let c = f + -0.8. What is the closest to c in v, 0.4, -1/4? -1/4 Let w = -0.1 - -0.1. Let v = w - -5. Let t = -22/5 + 24/5. Which is the nearest to t? (a) v (b) -2 (c) -4 b Let x = 3.6 + -3.1. Which is the closest to 2? (a) x (b) -0.4 (c) 8 a Let v = 98/3 - 32. Which is the nearest to v? (a) 1 (b) 1/2 (c) -4 b Let f be (-164)/(-476) + 2/(-7). Which is the closest to 0.1? (a) -1 (b) f (c) -0.4 b Let q = 2.5 - 3. Let s = 0.065 + -0.065. Suppose 3*a + a + 16 = 0. What is the nearest to 1 in a, s, q? s Let v = 3.7 + -3. Let q = v - -0.3. Let n = 61/6 - 19/2. Which is the closest to q? (a) n (b) 1 (c) -3 b Let r be (-75)/72 + (-18)/(-48). Let s = 2 + -1. Which is the nearest to r? (a) s (b) 1/4 (c) 1/7 c Let l = -4 + 4. Suppose l = -v - v. Which is the closest to v? (a) 1 (b) 0.1 (c) -2/15 b Suppose -3*w - 14 = -2*r, 2*r = 4*r + 3*w - 2. Which is the nearest to -0.1? (a) -3/5 (b) 0.1 (c) r b Let x = -12.4 + 11. Let o = 0.8 + x. Let v = -0.6 - o. Which is the nearest to v? (a) 2/5 (b) -0.06 (c) -2/7 b Let a = 2 - 1.6. Let q = a + -0.4. Let o be -2 - ((-54)/10 + 3). What is the nearest to o in -3, 3, q? q Let i = -0.062 + 0.162. Which is the closest to i? (a) 5 (b) -2/11 (c) 0 c Let s = -10 - -6. Let n = -0.02 + 0.52. Let k = 0.6 - n. What is the nearest to k in s, 3, 4? 3 Let v be (-308)/(-55) + (-6)/10. Suppose -2 = -4*i + 5*m, -v*i = 3*m + 2*m - 25. What is the closest to 1/2 in i, 2, -1/3? -1/3 Let q be (-2)/(-9) + 7/9. What is the closest to q in 0.5, -2/5, -2/3? 0.5 Let q be 0 + (-1 - (-11)/13). What is the closest to 2/5 in -0.3, 4/5, q? 4/5 Let o = -7 + 6.92. Let z = -4.92 + o. Let m = -0.2 - -0.1. What is the nearest to -0.2 in z, m, 0.1? m Let j = 2.04 + -0.04. What is the closest to 1 in j, 6, -2/5? j Let y = -7.3 - -1.3. Which is the nearest to 1? (a) y (b) -5 (c) -3 c Let z = 3.4 + -3.2. What is the closest to 1 in 0, -5, z? z Let p = 25.4 - 25. Let f = 0.6 + -0.2. Which is th
{ "pile_set_name": "DM Mathematics" }
+ -3. What is the first derivative of a - 11*c**2 + 2*c**3 - 3 + 11*c**2 wrt c? 6*c**2 Let u(y) be the first derivative of y**3 - 1 + 0*y - 1/2*y**2. Find the second derivative of u(g) wrt g. 6 Let n(y) be the second derivative of -y**7/6 - y**4 - 4*y. What is the third derivative of n(u) wrt u? -420*u**2 Let a(m) be the second derivative of 19*m**4/4 + 13*m**3/3 - 30*m - 1. Find the second derivative of a(r) wrt r. 114 Let u(m) be the third derivative of m**5/30 + 11*m**3/6 + m**2. Differentiate u(p) wrt p. 4*p Find the second derivative of -187*l**5 + 180*l**5 + 3*l**4 + 9*l - 3*l**4 wrt l. -140*l**3 Let g(w) = 2*w**4 - 10*w + 5. Let t(q) = 3*q**4 - 11*q + 6. Let o(h) = -6*g(h) + 5*t(h). Find the second derivative of o(f) wrt f. 36*f**2 Let k(b) = -3*b**5 - 7*b**4 - 13*b + 7. Let w(q) = 2*q**5 + 4*q**4 - 3*q + 8*q + 2*q - 4. Let p(n) = -4*k(n) - 7*w(n). Find the second derivative of p(l) wrt l. -40*l**3 Let x(v) be the third derivative of -v**6/20 + v**5/60 + 5*v**2. Find the third derivative of x(g) wrt g. -36 Find the third derivative of -46*f**4 + 14*f**4 + 15*f**4 + 6*f**2 wrt f. -408*f Let s = 25 - 17. Suppose 7 + s = 5*b. Find the first derivative of c**4 + 1 - b - 2*c**4 wrt c. -4*c**3 Suppose 0 = 3*o + o - 3*j, 3*o + j = 13. Suppose 4*d - 2*d = 10. What is the second derivative of -r + o*r**5 - 5*r**d - r wrt r? -40*r**3 Let k(t) be the second derivative of 0*t**5 + 0 - 1/30*t**6 + 0*t**4 + 3/2*t**2 + 0*t**3 - 3*t. Differentiate k(g) with respect to g. -4*g**3 Let m be ((-2)/(-5))/((-4)/(-20)). What is the third derivative of -2*o**m + 8*o**4 - 8*o**4 + 4*o**6 wrt o? 480*o**3 Let g = 4 + -7. Let m be g - 0 - (-1 - 4). What is the second derivative of 3*o**4 - 3*o**4 + m*o**4 - o wrt o? 24*o**2 What is the third derivative of 5*l**3 + 1 - 1 - 15*l**2 + 13*l**2 wrt l? 30 Let u(z) be the third derivative of 0 + 0*z**5 - 1/112*z**8 + 0*z**6 + 8*z**2 - 1/6*z**4 + 0*z + 0*z**7 + 0*z**3. What is the second derivative of u(r) wrt r? -60*r**3 Let r(h) be the first derivative of -5*h**6/3 + 6*h**3 + 11. Find the third derivative of r(b) wrt b. -600*b**2 Let k(q) be the third derivative of 11*q**5/30 - 11*q**4/8 + 4*q**2. What is the second derivative of k(n) wrt n? 44 Suppose -10 = -2*h - 3*h. Find the third derivative of 2*f**2 - 2*f**3 - 2*f + h*f + 7*f**2 wrt f. -12 Let r(f) = f**3 - f**2 - 5*f + 3. Let x be r(3). Suppose -1 = -3*y - l + 2, 2*l = x. Find the second derivative of y*h - 3*h + 5*h + 2*h**3 wrt h. 12*h Suppose -10 = 35*d - 40*d. Let l(z) be the third derivative of -1/24*z**4 + 0 + 0*z - 1/2*z**3 + d*z**2. What is the first derivative of l(q) wrt q? -1 Let q(s) = -s**3 + 4*s**2 + 2*s - 1. Let d be q(4). What is the derivative of -d + 0*p + p + 10 wrt p? 1 Let m(d) be the first derivative of -37*d**4/4 + 8*d**3/3 + 30. What is the third derivative of m(c) wrt c? -222 Let y be (-4)/(-16) + (-94)/(-8). Let f be y/8 + (-2)/(-4). Differentiate -4 + 0 + 2 - 2*l**f wrt l. -4*l What is the third derivative of 3*f**4 + 3*f**4 + f**2 - 4*f**4 - 2*f**2 wrt f? 48*f Let d(h) = 6*h**5 - 5*h**3 - 15*h**2 + 5. Let w(i) = 3*i**5 - 2*i**3 - 7*i**2 + 2. Let o(b) = 6*d(b) - 15*w(b). Find the third derivative of o(r) wrt r. -540*r**2 Let j(i) be the second derivative of 7*i**4/6 - 4*i**3/3 - 9*i. What is the second derivative of j(o) wrt o? 28 Suppose 4 = -3*j - 23. Let g(p) = p**2 + 9*p + 4. Let r be g(j). Differentiate -f**2 + 3 + 2*f**r + f**2 + 2*f**4 wrt f. 16*f**3 Let u(v) be the second derivative of v**8/840 + v**4/6 - 2*v**3/3 + v. Let s(d) be the second derivative of u(d). Find the first derivative of s(x) wrt x. 8*x**3 Let k(x) be the first derivative of -18*x**7/7 + 2*x**3 - 40. What is the third derivative of k(r) wrt r? -2160*r**3 Let v(s) = 34*s**3 - 3*s**2 + 3*s + 37. Let d(p) = 67*p**3 - 5*p**2 + 5*p + 75. Let t(k) = -3*d(k) + 5*v(k). What is the first derivative of t(o) wrt o? -93*o**2 Let d(v) = v**4 + v + 1. Let m(b) = 8*b**4 + 4*b**2 + 5*b + 5. Let x(j) = -5*d(j) + m(j). Find the third derivative of x(g) wrt g. 72*g Let d(m) be the third derivative of -5*m**8/336 + 5*m**4/12 - 10*m**2. Find the second derivative of d(b) wrt b. -100*b**3 Let v(m) be the second derivative of m**5/5 - m**4/4 + 4*m. Find the third derivative of v(u) wrt u. 24 Let y(x) be the first derivative of 0*x**4 + 0*x**3 + 2/5*x**5 - 2*x**2 + 0*x - 2. Find the second derivative of y(n) wrt n. 24*n**2 Let f(g) = -11*g**3 + 5*g**2 - 9*g + 9. Let v(k) = 6*k**3 - 2*k**2 + 4*k - 4. Let z(t) = 4*f(t) + 9*v(t). Find the third derivative of z(i) wrt i. 60 Let o be -2 + (2 - (-4 + 3)). Let u(a) = -4*a**3 - 6*a**2 + 2*a. Let l(p) = p**3 + p**2. Let q(s) = o*u(s) + 6*l(s). Find the second derivative of q(c) wrt c. 12*c What is the derivative of -19 - 28 - 15 + 357*o**2 - o - 360*o**2 wrt o? -6*o - 1 Let z(g) be the third derivative of -1/105*g**7 + 0*g**4 + 4*g**2 + 0*g + 0*g**5 + 0 - 1/3*g**3 + 0*g**6. What is the first derivative of z(q) wrt q? -8*q**3 Let n(p) be the third derivative of -3*p**2 - 1/70*p**7 + 0*p**4 + 1/60*p**5 + 0*p**6 + 0*p + 0*p**3 + 0. Find the third derivative of n(d) wrt d. -72*d Let v(f) = -f**3 - f - 1. Let r(c) = 16*c**4 + 2*c**3 + 2*c - 1. Let z(s) = -r(s) - 2*v(s). Differentiate z(j) wrt j. -64*j**3 Let j(b) be the third derivative of b**9/1008 - b**5/60 - b**3/2 - b**2. Let f(v) be the first derivative of j(v). What is the second derivative of f(q) wrt q? 60*q**3 Find the first derivative of 0 + 3 - 5 - 2*c wrt c. -2 Let r be 5 + -3 + 0/(-1). Suppose -r*g - j + 5 = -2*j, 3*g = 2*j + 7. What is the derivative of g + 5 + 2*c - 4 - 3 wrt c? 2 Let k(p) = p + 2. Let x be k(3). What is the third derivative of 7*j**2 + x*j**3 + 232*j - 232*j wrt j? 30 Let b(m) be the second derivative of -11*m**7/42 + 2*m**3/3 - 12*m. What is the second derivative of b(a) wrt a? -220*a**3 What is the second derivative of -5*y**3 - 36*y + 13*y + 15*y wrt y? -30*y Suppose 2 = -y + 2*t + 11, -y - 4*t = 3. Find the third derivative of q**y - 4*q**2 + 7*q**5 + q**5 wrt q. 540*q**2 Let a(n) be the second derivative of -7*n**6/30 - 2*n**4/3 - 2*n. What is the third derivative of a(b) wrt b? -168*b Let z(n) be the first derivative of 7*n**7 - 28*n**3/3 - 43. Find the third derivative of z(l) wrt l. 5880*l**3 Let r(i) = 2*i**3 - 12*i**2 - 5. Let s(l) = -l**3 + 6*l**2 + 3. Let z(x) = -6*r(x) - 10*s(x). What is the third derivative of z(o) wrt o? -12 Let x(b) = -15*b**4 + 3*b**3 - 3*b**2 - 12*b + 3. Let s(v) = v**4 - v**3 + v**2 - v - 1. Let j(l) = 3*s(l) + x(l). What is the second derivative of j(o) wrt o? -144*o**2 Let g(y) = -23*y - 5. Let m(x) = 68*x + 16. Let a(b) = -10*g(b) - 3*m(b). What is the derivative of a(z) wrt z? 26 Let h(v) be the first derivative of -2*v + 8 - 3 + 2*v**5 - 3*v**5 - 2*v. What is the derivative of h(i) wrt i? -20*i**3 Let v = -21 + 28. Let l(r) be the third derivative of 0*r**6 + 0 - r**2 + 1/210*r**v + 0*r**4 - 1/6*r**3 + 0*r + 0*r**5. Differentiate l(k) with respect to k. 4*k**3 Find the second derivative of -2*m**5 + 19*m + 6*m**4 - 4*m + 8*m wrt m. -40*m**3 + 72*m**2 Let f(b) = b. Let q be f(2). What is the third derivative of i**2 - 3*i**6 - 5*i**2 + 3*i**q wrt i? -360*i**3 Let c(n) be the first derivative of n**3 + 13*n**2/2 + 11. Find the second derivative of c(l) wrt l. 6 Find the third derivative of 16*q**3 - 5*q**2 + 3*q**2 - 12*q**2 - 9*q**2 wrt q. 96 Let p = 8 + -5. Let s(o) = -o**2 + 2*o + 2. Let f be s(0). Find the third derivative of -7*t**f + 4*t**2 - 3*t**3 + 4*t**p wrt t. 6 Find the first derivative of -2*a - 7*a + 12*a - 10*a - 9 wrt a. -7 Let u(q) be the third derivative of 0 - 1/24*q**4 - 3*q**2 - 1/20*q**5 + 0*q**3 + 0*q. Find the second derivative of u(y) wrt y. -6 Let y(w) be the third derivative of -w**8/14 + 11*w**5/15 + 12*w**2. What is the third derivative of y(c) wrt c? -1440*c**2 Let l(p) be the first derivative of -9*p**4/4 - 6*p**2 + 34. Find the second derivative of l(u) wrt u. -54*u Let j = 154 - 150. Suppose 15 = n + 4*n. What is the first derivative of 3 + n*z**4 - 1 + 0*z**4 - 6*z**j wrt z? -12*z**3 What is the third derivative of -41*x**2 - 12*x + 45*x - 3*x**4 - 3*x**3 + 42*x**2 wrt x? -72*x - 18 Let z = -1 - -4. Let a(f) = -f**2 - f - 1. Let g(s) = 4*s**2 + s + 3. Let y(n) = z*a(n) + g(n). What is the
{ "pile_set_name": "DM Mathematics" }
biggest value in -3, c, 5? 5 Let s = -10 - -9.68. Let p = s + -0.08. Which is the smallest value? (a) 5 (b) 4 (c) p c Let q = -40.8 + 41. Let k be (16/(-18))/(-4)*1. Which is the second biggest value? (a) k (b) q (c) 0.5 a Let f = -142 + 142. Which is the smallest value? (a) -0.5 (b) f (c) -6/7 c Let x = 1.25 + -1.3. Let o = 0.05 + x. Let z be -3*(-2 + (-14)/(-6)). What is the third smallest value in o, z, 2? 2 Let d = -3.1 - -3. Let m(r) = -2*r + 1. Let s be m(2). What is the third smallest value in -5, s, d? d Let y = 0.46 - 0.06. Let a(u) = u + 10. Let m be a(-5). What is the smallest value in y, m, -0.5? -0.5 Let p = 0.12 - 0.13. Let y = p + 0.51. Which is the second biggest value? (a) -2/7 (b) -4 (c) y a Let s = 21 - 21.02. Let t(o) = o + 9. Let k be t(-8). What is the third smallest value in s, 3, k? 3 Let s = -67/36 + 227/36. Let v = s + -46/9. Let l be (1/2)/((-1)/2). Which is the biggest value? (a) v (b) 1 (c) l b Let m = -10 - -9.7. Let h = 0.55 - 0.05. Let w = 1 + -3. Which is the second biggest value? (a) w (b) h (c) m c Let h be 4/(-6) + 28/6. Suppose -4*l - 2*a = a - h, -2*l + 2 = a. What is the third smallest value in -4, l, -0.1? l Suppose -5 = -x - 0*x. Let r be 22/x - (-4)/(-10). Suppose 6 = 2*z - r. Which is the third smallest value? (a) z (b) 0.3 (c) -2/11 a Let i = 1.34 - 1.14. Which is the third biggest value? (a) 0 (b) i (c) 3 (d) -1/6 a Let x = 403 - 407.87. Let z = x - 0.13. Let c be (2/(-2))/(2/1). What is the biggest value in z, 2, c? 2 Let d = 95 - 99. What is the second biggest value in d, -1, -5? d Let u = -19.83 + 20. Let h = 0.1 - u. Let l = -0.17 - h. Which is the second biggest value? (a) l (b) -5 (c) -2/23 a Let f = 0.5 - 0.8. Let z = -10 + 5. Which is the biggest value? (a) z (b) -3 (c) f c Let f be 16/8 + (-1 - 31). Let c be (6/f)/((-2)/15). What is the second smallest value in c, -1/5, 0.1? 0.1 Let x = 2.1 - 9.1. What is the biggest value in x, 1, 3? 3 Let w = -1.92 + 2. Let v = 22 - 19. Which is the third smallest value? (a) w (b) v (c) -3/7 b Let y(n) = n + 7. Let v be y(-4). Suppose 0*g + v = -3*g. What is the second biggest value in 1, g, -2/3? -2/3 Let i(k) = -k**3 + 3*k**2 - k - 1. Let s be i(3). Let b be ((-3)/(-6))/(s/(-6)). What is the smallest value in -4, b, 0.4? -4 Let x be (-3 + 141/(-9))*3. Let c be (-2)/1 - 136/x. Let u = 25/6 + -23/6. What is the second smallest value in c, u, 3? c Let l = -3 - -2.5. Suppose -5*r = -3*r + 10. Let v = -10 - -7. Which is the third smallest value? (a) r (b) v (c) l c Let d = -37 + 33. What is the third smallest value in d, -4/7, 1/6? 1/6 Let f = -4.2 + 4. Let k = f + 0. Let y = -3.6 + 0.6. Which is the second smallest value? (a) y (b) k (c) 3 b Let x = -1084/6877 - -2/529. What is the biggest value in x, -0.1, -3? -0.1 Let d = -4.4 + 0.4. Let m be 10/15 + 34/(-42). What is the smallest value in -0.4, d, m? d Let j = -45 - -181/4. Which is the biggest value? (a) j (b) 0.5 (c) 0.2 b Let m = -0.4 + -0.3. Let o = 3.3 - m. Which is the second smallest value? (a) -0.4 (b) o (c) 0 c Let m(u) = 4*u - 7. Let y be m(2). Suppose -j + 5*j = 20. Which is the biggest value? (a) j (b) -0.5 (c) y a Let f = -47 + 50.8. Let q = -0.3 + 0.5. Let s = q + f. Which is the third smallest value? (a) 2/3 (b) s (c) -0.3 b Let v = 3/83 - 261/332. Which is the biggest value? (a) v (b) -2/53 (c) -3 b Let f = -12.2 - -12. What is the third smallest value in 3/7, f, 0.3? 3/7 Let w = -20.3 + 20. Suppose -3*f = -f + 6. Which is the smallest value? (a) w (b) 0 (c) f c Let f = -16/5 - -17/5. What is the biggest value in 3, -0.23, f? 3 Let t = -21 - -20.8. Let v = -0.19 - -0.19. Which is the third biggest value? (a) 9 (b) t (c) v b Let l = -12 - -27. Which is the third smallest value? (a) 3/7 (b) l (c) 0.3 b Let z be (-15)/(-2)*(22/(-6) + 4). Which is the second smallest value? (a) 1 (b) z (c) 0.3 (d) -1/9 c Let s = -379/646 - 9/38. Let u = -129/136 - s. Let z = 0.01 - -0.99. Which is the smallest value? (a) u (b) z (c) 4/7 a Let p = -9 + 5. Let l be p/(-36) + (-2)/6. Which is the smallest value? (a) -1/5 (b) l (c) -2 c Let u be 118/290 - (-9)/(-45). Let x be (-94)/(-232)*8/(-6). Let f = u + x. What is the third smallest value in -0.5, f, -1/8? -1/8 Let w = -54 - -53.8. Which is the smallest value? (a) w (b) -4 (c) -2/7 b Let o = 53.97 - 52. Let u = -0.03 - o. Which is the smallest value? (a) u (b) 3/4 (c) 3 a Let l = -3.302 + 0.002. Let t = l + 3. Suppose -4*n - 7 = -23. Which is the second biggest value? (a) n (b) 3/7 (c) t b Let s = 113/2 - 58. Let m be 3/4*1/(-3). Let d = -0.1 + -0.1. What is the second smallest value in d, s, m? m Let i = 1125/7 + -161. Which is the fourth biggest value? (a) i (b) -0.2 (c) 0.3 (d) 4 a Let r = 70 - 65. Which is the biggest value? (a) -6 (b) 0.4 (c) 2/7 (d) r d Let n = 4.9 - 5. Which is the biggest value? (a) 0.3 (b) -0.2 (c) n a Suppose 4*m - 13 = 15. Let i = -124 + 622/5. Which is the smallest value? (a) -2 (b) m (c) i a Let u(z) = -z - 3. Let f be u(-7). Suppose x = f*x - 12. What is the third biggest value in x, 2/5, -0.2? -0.2 Suppose 0*h + h = 2*k, 0 = -k + 4*h - 14. Suppose 4 = -k*n - 2. Let x be (-4)/21 - 2/(-7). What is the third biggest value in n, -1, x? n Let p = 2 + 3. Let g = -0.255 - -1.345. Let l = g - 0.09. What is the third biggest value in l, p, 4/5? 4/5 Let q(i) = -1. Let a(o) = o - 2. Let h(n) = 2*a(n) - 5*q(n). Let k be h(1). Let u = 354/35 - 52/5. What is the third smallest value in u, 3/4, k? k Let n = -0.07 + -0.33. Let z = n - -0.39. Which is the third smallest value? (a) 1/2 (b) z (c) -0.3 a Let y = 0.6 - -2.4. Let l = 1209/7 + -173. Which is the smallest value? (a) y (b) -5 (c) l b Let m be 8 + (-1 - (1 + 0)). Let h(t) = -t**2 + 4*t + 7. Let f be h(m). Let j = -10 + 28/3. Which is the biggest value? (a) j (b) f (c) 1/4 c Let n be 10/(-72) + (-1)/(-4). Let b be (-11)/(-4) + (0 - -1) - 3. What is the third smallest value in b, n, -1? b Let h = 9 + -11. Which is the third biggest value? (a) -1/5 (b) -3/2 (c) h (d) 5 b Let y = -1837/26 + 141/2. What is the second smallest value in y, -1, -2/15? y Let k = -19.4 + 19. Which is the third smallest value? (a) 0 (b) k (c) -2/17 a Let p = 0 - -0.7. Let h = -0.06 - 1.94. Let y = -5 - h. Which is the second smallest value? (a) p (b) 2 (c) y a Suppose -3*k + 8*k = 0. Let v = -27 + 26. Which is the biggest value? (a) k (b) -4 (c) v a Let r(i) = -i**2 - 3*i - 1. Let k be r(-2). Let q be (-48)/(-22) - (1 + k). Let a = 0.11 - 0.11. What is the third smallest value in q, 2, a? 2 Let g = -22.037 - -0.037. Let b = 19 + g. What is the third biggest value in -0.5, b, 4/3? b Suppose 4*o + 95 = -0*y - 5*y, -4*o - 65 = 3*y. Let k = y + 21. Which is the smallest value? (a) -0.1 (b) -2 (c) k b Let k(i) = -i**3 + 2*i**2 + 3*i + 3. Let p be k(3). Let z = p - 3. Which is the second biggest value? (a) z (b) -1/4 (c) 0.5 a Let l = 0.34 + -5.34. Which is the fourth biggest value? (a) -4 (b) l (c) -1 (d) 0 b Let g = 26 - 77/3. What is the second smallest value in -1, 2/7, g? 2/7 Let r(y) = -y**2 - 6*y + 10. Let f be r(-7). Let u = 11 - 16. Which is the second biggest value? (a) f (b) u (c) 0.4 c Let h = 1.6 + -7.6. Let y = h + 10. What is the smallest value in y, 5, 0.2? 0.2 Let r = 4.7 - 0.7. Let j = -6 + r. Let s = j - -4. Which is the second smallest value? (a) -0.1 (b) s (c) -4 a Let p be 2/((-3)/9*3). What is the smallest value in 1, p, 0.05? p Let z = -32.4 + 32. Which is the biggest value? (a) 4 (b) -5 (c) z (d) 1/8 a Let r = 27 - 29.3. Let z = 0.3 + r. Let x be 1 + 1 + 32/(-18). What is the biggest value in -1/4, z, x? x Let d be 1/(4 - 2 - 3). What is the third smallest value in 2, d, -2? 2 Let k = -70 + 488/7. Which is the second smallest value? (a) 3 (b) -0.5 (c) -2 (d) k b Let n = -3 + -2. Let x = -0.7 + 0.3. Let o = -0.49 - 0.01. Which is the smallest value? (a) x (b) n (c) o b Let t = 53/78 + 2/13. Which is the biggest value? (a) t (b) -0.3 (c) -2 a Let p = -9 + 4. Let j = 8 - 7.87. Let g = j + 3.87. Which is the second smallest value? (a) g (b) p (c) 5 a Let h = 0.5 - -2.5. Let d = 8 + -8.3. Let z = 0.2 - d. What is the second biggest value in z,
{ "pile_set_name": "DM Mathematics" }
Solve 15 = q*x - x for x. 5 Let l(o) = o**2 + 3*o + 6. Suppose 34*b - 31*b = -6. Let t be l(b). Solve -t*f = -0*f for f. 0 Let b = 57 - 41. Suppose w = 3*t + 3, -2*t + b = 2*t. Solve s + 2*s + w = 0 for s. -5 Suppose 0 = -z - 15 + 18. Let p(b) = 3*b. Let g be p(z). Let r = g - 4. Solve r*y = y for y. 0 Let s be 8/36 - (-116)/(-36). Let y be s*(-3)/(-9)*0. Suppose y = 3*u - 0*u - 15. Solve -u*t + t = 0 for t. 0 Let f(t) = -t**2 + 19*t + 3. Let j be f(0). Solve -11 = -j*v - 23 for v. -4 Let w(o) be the second derivative of o**3/6 + o**2/2 + 35*o. Let t be w(5). Solve -14*h + 16*h = -t for h. -3 Let r(h) = -h**2 + 9*h - 13. Let v be r(8). Let s be v/(-10)*10 + (2 - 2). Let o = 2 - 0. Solve -c - s = -o*c for c. 5 Let y be (-1 + (-31)/(-4))/(3/(-12)). Let n = -24 - y. Solve 0 = s + 7 - n for s. -4 Suppose -c - 2 = -6. Let h = -4 + c. Suppose 10*m = 5*m. Solve m*t - t - 3 = h for t. -3 Suppose 150*z - 130*z - 160 = 0. Solve -21*h + z = -13 for h. 1 Suppose -2*f - 20 + 4 = -2*q, 4 = -f. Suppose -j + 5*j - 4*p = q, -5*p = 2*j - 23. Solve 0*t - j*t = 20 for t. -5 Let j be (2 + 10/(-4))*0. Suppose j = 2*o + o. Suppose 3*y - 7*y = 0. Solve o = -4*a - y*a + 4 for a. 1 Let a(k) = k + 5. Let n be a(-6). Let f(p) = -4*p**3 - p - 1. Let c be f(n). Solve 2*g = 4 + c for g. 4 Let z(k) = k + 3. Let g be z(0). Suppose 3*f - 20 + 0 = -2*w, 3*f + 3*w = 24. Suppose -4*j + g*t = -12 - 7, 18 = f*j - 2*t. Solve j - 3 = -q for q. -1 Let v(b) = 4*b**3 - 91*b**2 - 23*b + 71. Let f be v(23). Solve 0 = -9*k - 26 + f for k. 5 Let h be (-56)/6*(324/48)/(-9). Solve -l - 12 = -h for l. -5 Let l(t) = -t + 41. Let i be l(34). Solve -i = 2*z - 13 for z. 3 Let g(x) = x**3 - 5*x**2 - 6*x + 6. Let v be g(6). Let r(k) = -k - 20. Let s be r(-26). Let h be s/(-6) + v/1. Solve -h*t + 2*t - 9 = 0 for t. -3 Let b(r) = 3 + 2 + 98*r - 103*r. Let s be b(-3). Solve -f - 3*f - s = 0 for f. -5 Suppose 53 - 14 = -3*k. Let s = k - 1. Let f be 4/s + 69/21. Solve 2*i + 1 = f*i for i. 1 Let u be (55 - -43) + (-22)/(-2). Solve 118 = -9*d + u for d. -1 Suppose 0*b + 48 = 16*b. Solve -9 = -4*g + b for g. 3 Let u = 10 + -12. Let d be (u/4)/((-1)/18). Solve 0 = 5*c - 2*c - d for c. 3 Let n(t) be the third derivative of -t**5/60 - 7*t**4/8 - 10*t**3/3 - 5*t**2. Let l be n(-20). Solve l + 5 = 5*o for o. 1 Suppose 3*u - 4*q - 14 = -0*q, 2*u = -2*q. Suppose -88 - 2 = -10*t. Solve -u*o - t = o for o. -3 Let u(a) = -7*a**3 + 2*a**2 - a - 1. Let r be u(-1). Solve -3*f = -0*f + r for f. -3 Suppose -3*w + 58 = w - j, 3*w + 3*j = 51. Let i(u) = u**3 - 16*u**2 + 14*u + 22. Let m be i(w). Solve -t - 3 + m = 0 for t. 4 Let n = -936 + 943. Solve n = 5*i + 17 for i. -2 Let x = 22 - 19. Let i be (-1)/3 + (-20)/(-6). Let k = -3 + i. Solve k = -u + x*u - 6 for u. 3 Let k be (-14)/(-21) + (-4)/6. Let u be -6 + 4 - (-2)/1. Suppose -2*g + k*g = u. Solve c = -g*c + 2 for c. 2 Let b(r) = -r**3 - 4*r**2 - r - 2. Let c be b(-4). Suppose 3*h = -c + 8. Solve 9 = -p - h*p for p. -3 Suppose 8*l = 10*l - 10. Suppose -5*x + 2*j = -35, 14 = -l*j - 11. Solve x*h + 5 = 30 for h. 5 Suppose 3*i = 3*d + 69, 18*i + 24 = 19*i - 2*d. Solve -27 = -r - i for r. 5 Let g(d) = 6*d**3 - 6*d + 10. Let r be g(3). Let v = r - 143. Solve -v = -4*p - 3 for p. 2 Suppose 3*d - 3 = 3. Let s = -18 - -18. Suppose 0 = 6*h - 4*h - 5*m - 20, h - 4*m - 16 = s. Solve h*q - d*q = -10 for q. 5 Let l(x) = x**3 - x**2 - 8*x + 10. Let c be l(3). Solve -10 = -c*h + 2 for h. 3 Let t(q) = 3*q + 14. Let c be t(-3). Suppose c*k + 0*k - 5*a = 10, 0 = -3*k - a - 2. Solve k = -0*y + 3*y + 6 for y. -2 Suppose 5*i = 3*g + 13, -3*i + i + g + 5 = 0. Solve 2*y = -i*y for y. 0 Let o(s) = -s**3 - 15*s**2 + 18*s + 37. Let k be o(-16). Suppose 5*j = 3*p + 3*j - 2, -k*p + 3 = -3*j. Let d be ((-3)/(-9))/(1/15). Solve -z = -p*z - d for z. 5 Let d(p) = p + 4. Let f(w) = -6*w - 20. Let b = 14 - 12. Let y(x) = b*f(x) + 11*d(x). Let z be y(3). Solve -5 = j - z for j. -4 Let f be ((-33)/(-2))/(7/(-14)). Let i = f + 33. Solve 4*q + q + 20 = i for q. -4 Suppose 0*s - 4*t + 30 = 5*s, -27 = -s - 5*t. Let y(o) = o**2 - o - 9. Let r be y(3). Let g(q) = -2*q + 3. Let l be g(r). Solve 3 = s*v + l for v. -3 Let d(i) = -i**3 + 10*i**2 + 10*i + 17. Let b be d(11). Solve -b*s = -13*s + 35 for s. 5 Suppose -1 = -2*l + x + 14, 0 = l - 5*x - 21. Solve l*c = -12 + 36 for c. 4 Let y(c) = -2*c**3 + 4*c + 4. Let z be y(0). Solve 7*i = -z*i + 16*i for i. 0 Let x(s) = -46*s - 267. Let c be x(-6). Solve 259*i = 262*i + c for i. -3 Suppose 0 = -5*m + d + 82, -3*m + m - 4*d = -24. Solve 15*u - m = 59 for u. 5 Let v = 2 - 8. Let p be ((-9)/6)/(v/8). Solve -5*g = -p*g + 3 for g. -1 Suppose -3*p + 15 = -0*p. Solve -c - p = -1 for c. -4 Suppose 0*x = -5*x + 15. Suppose z = 3*z + 4*b - 60, -x*z = -4*b - 40. Suppose -4*j = 3*r - z, r = 3*r - 4*j + 20. Solve r*v = 3*v - 15 for v. 5 Suppose -2*o - 3*b = -5*o + 21, -b = 2*o - 5. Let c(a) = a + 9. Let d be c(-7). Suppose 5*i - 4*j - 23 = 0, 0*j + 6 = d*j. Solve -i*t = -o*t for t. 0 Let v be ((-2)/4*-3)/((-6)/(-8)). Let j be 4/(-18) - 640/(-45). Let d = 24 - j. Solve v*g = 4*g + d for g. -5 Let j(a) = 2*a**2 + 2*a + 8. Let g be j(-2). Solve -4*p + g = -p for p. 4 Let p(l) = -7*l + 82. Let i be p(11). Solve -f = i*f + f for f. 0 Suppose 8*w + 1 = -119. Let p be 34/10 - (-6)/w. Solve -5*u - p - 2 = 0 for u. -1 Suppose -23 = -2*q + 9. Suppose -2*k - 607 = -613. Solve i + q = -k*i for i. -4 Suppose -7 + 3 = -4*o. Suppose 2*s + o = 3. Let j be 0*-1*s/2. Solve d - 2 = -j*d for d. 2 Let y be (0 - 14)*1*-1. Solve -u = y - 19 for u. 5 Suppose 7*o - 21 - 28 = 0. Solve -4*k + o*k = 15 for k. 5 Suppose 3*p - 200 - 34 = 0. Suppose p*b = 77*b. Solve b = -o + 4*o - 3 for o. 1 Let y = -213 - -223. Solve -y + 0 = 5*w for w. -2 Let s(n) = -6*n + 113. Let l be s(18). Solve -3*w - 2*w + l = 0 for w. 1 Let m(f) = 2*f**2 - 3*f + 3. Let u be m(2). Suppose -q = -u*q + 12. Suppose 925*c - 916*c = 0. Solve -j + q*j = c for j. 0 Let h(x) = -x - 3. Let y be h(-14). Suppose -5*n - 17 = -d, -6*d + n = -2*d - y. Solve 0*l = d*l for l. 0 Let w = 49 + 0. Solve 7*z = -w + 14 for z. -5 Suppose 3*n + 18 = 33. Suppose 0 = 8*w - n - 51. Solve -17 = -5*i - w for i. 2 Suppose 5*k + 4 - 29 = 0. Suppose 6*p + k*p = 22. Solve -5*s - p = -4*s for s. -2 Let h = -14 - -17. Let x be (-30)/(-12) + h/(-6). Solve x + 2 = -2*y for y. -2 Let n be 2/4 - (-493)/34. Suppose 0 = -n*s + 19*s - 8. Solve -s = h - 1 for h. -1 Let b = -185 - -185. Solve 3*p + 2*p + 0*p = b for p. 0 Let t(p) = -6*p**2 + p. Let y be t(1). Let c be (-16)/60*y*(-3)/(-2). Solve c*n - 5 = 1 for n. 3 Let w be ((-30)/75)/((-2)/10). Let t(r) = 3*r - 8. Let b be t(8). Let m = b + w. Solve -5*l = 2 + m for l. -4 Suppose 9 - 45 = -4*w. Suppose 4*d + 1 = w. Let k = 6 - 6. Solve -8 = -d*t - k for t. 4 Let z = 0 + 8. Suppose -4*h = -5*l - 10, -2*l - z = 2*l - h. Let a be (-16)/(-3)*(-3)/l. Solve 2*p + 2 = -a for p. -5 Let h(a) = a**2 + 7*a + 6. Let r = -4 + -3. Let j be h(r). Suppose 2*s = j*s - 20. Solve 2*i = i + s for i. 5 Let s = -11 + 16. Suppose -10 = -5*r + s. Suppose 21 = 2*h - r. Solve i + h = -3*i for i. -3 Let j be 8/(-60) - 1/15*-107. Solve 14 = j*r - 21 for r. 5 Suppose 4*f = 24 + 16. Let c be 150/(-2)*(-4)/f. Let v be ((-4)/(-5))/(12/c). Solve 3*z + v = -13 for z. -5 Let n(d) = d**2 - 6*d + 8. Let w be n(5). Suppose 0 = 5*t - 6*t + w. Solve t = a - 1 for a. 4 Suppose 0 = -2*j + 21 + 19. Suppose 0 = 9*i - 4*i - j. Solve 5*w + 5 = i*w for w. -5 Let o be 4*(2 + 9/12). Let l(f) = f - 7. Let v be l(o). Suppose v*k = -5*h + 65, 8*h + 25 = 5*k + 3*h. Solve -26 = -4*g - k for g. 4 Let j = 52 - 21. Suppose -4*h + j = 3*d, 2*d + 2*d + 2*h = 28. Solve v - d*v = 0 for v. 0 Suppose -x = 0, 3*v - 12 = 2*x + 3. Solve -5*t + 15 = v for t. 2 Suppose -4*b - 342 = -66. Let m = -59 - b. Solve u = -4*u + m for u. 2 Let z(q) be the second derivative of -q**5/20 + q**4/4 + q**3/3 - 5*q**2/2 - 2*q. Let d be z(2). Solve d*g = 5*g - 4 for g. 2 Let l be 3/(-12) - (-61)/4. Let p be 36/(-162) - 47/(-9). Solve l = -2*d + p*d for d. 5 Suppose 0 = -3*d + 7 - 19. Let a be -1 + (3 + d)*-2. Solve a - 2 = b for b. -1 Let r = -24 - -10. Let u be 12/(-30) - r/10. Let h be u/(2/32*4). Solve -h = 4*b - 8*b for b. 1 Let l be (-8)/48 + 61/6. Suppose 27 = 4*u - 3*h, -2 = -2*u - h - 1. Solve u*
{ "pile_set_name": "DM Mathematics" }
(17)) + sqrt(17)))))**2. -17750*sqrt(17)/3 + 2232425/36 Simplify (sqrt(126) + sqrt(126)*-1 - (sqrt(2016) + (sqrt(2016) - sqrt(2016)*2)))/(2*-3*sqrt(98)). 0 Simplify -2 + ((1 + sqrt(147))*4 - (((0 + sqrt(147) + sqrt(147) - sqrt(147)) + sqrt(147))*-3)**2) + 3. -5287 + 28*sqrt(3) Simplify -5 + (((sqrt(847) + -2*sqrt(847))*-1 + sqrt(847))**2 - (-1*(2 + sqrt(847)) + sqrt(847))) + -4. 3381 Simplify (4*(sqrt(304) + -1 + 1) + 1*(1 + sqrt(304))*1)**2. 40*sqrt(19) + 7601 Simplify (sqrt(540)/sqrt(81) + sqrt(60))/((1*sqrt(132))/sqrt(11)) - (-1*((-2*sqrt(180))/sqrt(4))/sqrt(9))**2. -20 + 4*sqrt(5)/3 Simplify (1*4*2*sqrt(8))/((sqrt(100)*1 - sqrt(100)) + -3*sqrt(64) + sqrt(4)). -8*sqrt(2)/11 Simplify -6*(-3 + (sqrt(44)/sqrt(2))/sqrt(2)*-5)*6. 108 + 180*sqrt(11) Simplify 5*-4*(0 + sqrt(117)*-2). 120*sqrt(13) Simplify ((sqrt(80)/sqrt(4))**2 - (4 + sqrt(20)/sqrt(4))) + sqrt(55)/(sqrt(22)/(sqrt(2) + sqrt(14)/sqrt(7) - sqrt(2))). 16 Simplify (1*sqrt(187)*-1)/(-2*sqrt(275))*-4. -2*sqrt(17)/5 Simplify (4*(sqrt(125) + sqrt(125)*2) + sqrt(125))**2*1 - (0 + 1 + sqrt(125) + sqrt(125) + -2*sqrt(125)*2)**2. 20*sqrt(5) + 20624 Simplify ((-6*sqrt(104)*-2 - (sqrt(104) + sqrt(104) + 3*(sqrt(104)*2 - sqrt(104))))/((sqrt(128) - (1*sqrt(128) + sqrt(128)))*1))**2 + -5. 557/16 Simplify 6*(((3*sqrt(245) - sqrt(245)) + -5 + ((3 + sqrt(245) - sqrt(245)) + sqrt(245))*1 + sqrt(245))**2 + -2). -672*sqrt(5) + 23532 Simplify 2*(4 + (1 + sqrt(891))*5)*5. 90 + 450*sqrt(11) Simplify (1 + sqrt(84)/sqrt(3) + -5 + (-2*sqrt(3584) - sqrt(56))/sqrt(8))**2. 120*sqrt(7) + 1591 Simplify ((sqrt(1900) - (sqrt(1900) - (sqrt(1900) - (sqrt(1900) - (sqrt(1900)*-2 + sqrt(1900))))*4))*-3*3 + -4 + 5)**2. 720*sqrt(19) + 2462401 Simplify -6*(2 + sqrt(28)/sqrt(4) - (sqrt(315)/sqrt(5))/sqrt(9)) + -2. -14 Simplify 4*6*(2*sqrt(68)/sqrt(2))/(sqrt(98)*2 + sqrt(98)). 16*sqrt(17)/7 Simplify (-4*((sqrt(17) + 0 - sqrt(17)) + sqrt(17) + -1 + sqrt(68)/sqrt(4) + -4 - (sqrt(68) + 1)*5))**2. 2560*sqrt(17) + 19008 Simplify (sqrt(88)/(sqrt(72)/sqrt(324)))**2*3 + -4. 1184 Simplify ((2*sqrt(110) + sqrt(110) - sqrt(110) - sqrt(110))*-6*-2)/(-1*-2*sqrt(30)/sqrt(3)). 6*sqrt(11) Simplify (sqrt(539) - (2 + sqrt(539) + -2) - 3*(sqrt(539) + 0) - ((sqrt(539) - (sqrt(539) - (sqrt(539) + -3 + -5))) + 1))**2. -392*sqrt(11) + 8673 Simplify -5*(sqrt(33) + sqrt(528)*-6)/(sqrt(27) - sqrt(108) - sqrt(3))*-3*1. 345*sqrt(11)/4 Simplify 1 + sqrt(162) + 5*sqrt(54)/sqrt(3) - (2*sqrt(2592) + 2)**2. -10371 - 264*sqrt(2) Simplify (sqrt(612) + (sqrt(612) - (sqrt(612)*3 + 3)) + -2 + 1)**2. 48*sqrt(17) + 628 Simplify 4 + (-1*sqrt(320) + 2 + (sqrt(320) + 1)*2 - (4 + sqrt(320) + (-2*sqrt(320) - sqrt(320))**2 + 4)). -2880 Simplify 3*(-4*sqrt(4050))/(sqrt(250)*-1). 108*sqrt(5)/5 Simplify -3*(1 + sqrt(325) + -1 + sqrt(325))**2 + -2. -3902 Simplify ((0 + sqrt(605))*2)**2*-3*-4. 29040 Simplify (-5 + 4 + -2 + (sqrt(171) - (sqrt(171) + 0 + -1) - (sqrt(171) - -6*(1*sqrt(171) - sqrt(171) - sqrt(171)))))**2. -60*sqrt(19) + 4279 Simplify -1 + -5 + (sqrt(132)/(sqrt(36)/sqrt(3)) - (sqrt(33)/sqrt(3) + -1)). -5 Simplify 4 + (sqrt(77) - sqrt(77)*-1*1 - 6*(sqrt(77) - -2*sqrt(77)))/(sqrt(42)/(-1*sqrt(6)) + (sqrt(175)*2 + sqrt(175) - sqrt(175))). -16*sqrt(11)/9 + 4 Simplify (sqrt(363) + -2 + sqrt(363) + sqrt(363))*-1 + 2*(sqrt(3) + (sqrt(3)*2)**2 + -5). -31*sqrt(3) + 16 Simplify (sqrt(228) + 6*-1*sqrt(228) + sqrt(228) - -1*sqrt(228)*3)/(-2*((sqrt(144) - (sqrt(144)*1 - sqrt(144) - sqrt(144))) + sqrt(144))/sqrt(12)). sqrt(19)/6 Simplify (((sqrt(2695) - (sqrt(2695)*-2 - sqrt(2695)))*6)/(2*sqrt(55)/sqrt(45)))**2. 317520 Simplify (4 + (sqrt(16)*-1)/(sqrt(144)/sqrt(8)))*1. -2*sqrt(2)/3 + 4 Simplify (sqrt(119) + 6*(sqrt(119) + -3*sqrt(119)))/((sqrt(63)/sqrt(9) + sqrt(7))*5)*3. -33*sqrt(17)/10 Simplify (-3 + (4 + (sqrt(128)*2 - sqrt(128)) - (sqrt(128) + 1)*6))**2 + -4. 400*sqrt(2) + 3221 Simplify (sqrt(51) - 2*(sqrt(51)*-1 + sqrt(51)) - (sqrt(51) + (sqrt(204)/sqrt(4)*-4 - sqrt(51))))/(-2*-1*2*sqrt(3)). 5*sqrt(17)/4 Simplify -4*((sqrt(98) + 3 - sqrt(98))*2 - ((sqrt(98) + -1)**2 + 5)). -56*sqrt(2) + 392 Simplify -2 + (4*sqrt(55))/sqrt(11) + sqrt(15)/(-3*sqrt(243)). -2 + 107*sqrt(5)/27 Simplify 5*-4*((sqrt(104) - (sqrt(104) + sqrt(104)*-5 - sqrt(104)))/sqrt(2) - (sqrt(468))**2*-2). -18720 - 240*sqrt(13) Simplify -2 + (sqrt(448)*1 - sqrt(35)/sqrt(80))**2 + -5 + 5*(sqrt(7) + 0). 5*sqrt(7) + 6615/16 Simplify (1 + sqrt(612)*2*-1)**2 + 2 + 1*sqrt(612)*-4. -48*sqrt(17) + 2451 Simplify 5*(sqrt(98) - (5 + (-2*sqrt(98))**2) - ((3*sqrt(98)*5)**2 + sqrt(98))). -112235 Simplify 6*(5 + (2*(2*sqrt(228) + sqrt(228)))/(sqrt(48) + sqrt(96)/sqrt(2)))**2. 90*sqrt(19) + 813/2 Simplify (-1 + 5 + -2*sqrt(180) + (sqrt(180) + -1)*6 + sqrt(180) + 5 + -3)**2. 4500 Simplify (-5*-2*(-3*sqrt(567) + 3))**2*-3. -1533600 + 48600*sqrt(7) Simplify (-1*sqrt(8))**2 + -3 + (2*sqrt(162)*-5)**2. 16205 Simplify (2 + sqrt(1216)*-2 + 4)**2 - ((2 + -1 + sqrt(19))**2 + ((-3*sqrt(133))/sqrt(7) - sqrt(19))). -190*sqrt(19) + 4880 Simplify 1 + ((sqrt(7) + -1*sqrt(567) + sqrt(567))*-3)**2 + 2 + -3. 63 Simplify (-4 + (sqrt(132)/(-1*sqrt(12)*-6) - (-1 + sqrt(891) + sqrt(704) + 1)) + 2)**2. 202*sqrt(11)/3 + 112355/36 Simplify 3*((sqrt(325)*1 + sqrt(13) - sqrt(91)/(sqrt(7) - (sqrt(7) + -2*sqrt(7)))) + 2)**2. 66*sqrt(13) + 4767/4 Simplify -1*(0 + -2*sqrt(176) + (sqrt(1331) - -5*sqrt(1331)*1)). -58*sqrt(11) Simplify (1*-6*sqrt(66)*2)/(sqrt(24)/sqrt(16) - -1*sqrt(12)/sqrt(2)). -8*sqrt(11) Simplify (((sqrt(24) + sqrt(600) - sqrt(24))*2 + sqrt(24))*-4)/((sqrt(36)*-2*-2)/sqrt(3)). -11*sqrt(2) Simplify (1*sqrt(171) + sqrt(171))/sqrt(9) + 3 - (sqrt(19)*-1 + 1 - sqrt(228)/(sqrt(24)/sqrt(2))). 2 + 4*sqrt(19) Simplify (sqrt(6) - -3*-2*sqrt(6) - -2*sqrt(30)/sqrt(5))/(sqrt(98)*-1*2). 3*sqrt(3)/14 Simplify 3 + 2*(sqrt(19)*1)**2 + (-1*sqrt(209))/sqrt(11) + ((3 + sqrt(19)*-2)**2 - sqrt(912)/sqrt(3))*1. -17*sqrt(19) + 126 Simplify (3 + (sqrt(19) - (-5 + sqrt(1900))))**2 + sqrt(304) + 5 + 3. -140*sqrt(19) + 1611 Simplify (3*(5 + sqrt(252)))**2 - sqrt(252) - ((4 + sqrt(252) + -5)**2 + sqrt(252) + sqrt(252)). 534*sqrt(7) + 2240 Simplify (-2*sqrt(121)*1 + 2*sqrt(121)*6)/(-1*-2*sqrt(176))*3. 15*sqrt(11)/4 Simplify 5*(sqrt(170)/(sqrt(1210)*-1))**2*1. 85/121 Simplify -4 + (sqrt(288)/sqrt(225))**2 + sqrt(12)/(sqrt(6) - sqrt(150)*2). -68/25 - sqrt(2)/9 Simplify (-6*(sqrt(5) - (sqrt(5) + 0))*-5 + 2 + 3 + 4)**2 + -4. 77 Simplify ((sqrt(190)*-1 - sqrt(190)) + sqrt(190) - sqrt(190))/sqrt(10) + (sqrt(684)*-1)**2 + sqrt(684) - sqrt(57)/((sqrt(66)/sqrt(2))/sqrt(11)). 3*sqrt(19) + 684 Simplify (4 + (sqrt(175)*-1 + sqrt(175))**2 + 1)*5*-3*-5. 375 Simplify 4*(((0 + sqrt(162))*5 + 2)**2 - (0 + 3*(-2*sqrt(162) - sqrt(162)))**2). -36272 + 720*sqrt(2) Simplify sqrt(363)*2 + sqrt(27)/(sqrt(9)*2) + -3 + -2. -5 + 45*sqrt(3)/2 Simplify -6*(-2*sqrt(1872)*-1 - sqrt(1872))**2 + 3. -11229 Simplify (sqrt(567)*-2 + -2 + 3 + 1*(-1 + sqrt(567))*-2)**2. -216*sqrt(7) + 9081 Simplify ((sqrt(847) + -5 + 2 + sqrt(847))*-5*6)**2. -118800*sqrt(7) + 3057300 Simplify 4 + (1 + sqrt(3) + sqrt(3)*2)**2 + sqrt(18)/(2*sqrt(6)). 13*sqrt(3)/2 + 32 Simplify ((2*(sqrt(12) + sqrt(3)) - sqrt(3)) + (sqrt(3) - (sqrt(9)*1)/sqrt(3)) - -6*(1 + sqrt(3))*-2)**2. 168*sqrt(3) + 291 Simplify (sqrt(65) + sqrt(65)*-2*-3)/(2*sqrt(5)*1)*-6. -21*sqrt(13) Simplify 5 + (4*1*sqrt(20))/(sqrt(4)*3*-4). -sqrt(5)/3 + 5 Simplify ((2 + sqrt(171) + 2)*-2)**2*-2. -1496 - 192*sqrt(19) Simplify (sqrt(11) - (4 + sqrt(11) + 0))**2 + sqrt(11) - sqrt(11) - (sqrt(66) - 1*sqrt(66))/sqrt(6) - (-2*(sqrt(132)/sqrt(4))/sqrt(3))**2. -28 Simplify (sqrt(2400) - (2*sqrt(2400)*5 - sqrt(2400)))/(sqrt(96)/(-3*((sqrt(36)/sqrt(3) - sqrt(12)) + sqrt(12)))). 240*sqrt(3) Simplify -1 + (sqrt(45)*1*2 - (sqrt(15)/sqrt(3)*-4 + -5)). 4 + 10*sqrt(5) Simplify sqrt(1539) + (sqrt(1539) + 0)**2 + -1 - (sqrt(684) + sqrt(684)*1 + sqrt(19) - (sqrt(76) + -1 + sqrt(19))). -sqrt(19) + 1537 Simplify (-2*(sqrt(2448) - -1*sqrt(2448)) - sqrt(2448))**2*-1*-5 + -2. 305998 Simplify (1*(sqrt(78)*3 + sqrt(78))*-3)/((sqrt(162)/(sqrt(9)*3 - sqrt(9)) - sqrt(18))/sqrt(3)). 24*sqrt(13) Simplify -5 + (-4 + (sqrt(17) - (sqrt(425))**2) - sqrt(153)*-6)*6. -2579 + 114*sqrt(17) Simplify (1*(sqrt(1700) - 1*sqrt(1700)))**2*-4 + -4*(-2*sqrt(459))/sqrt(3). 24*sqrt(17) Simplify ((sqrt(308) + 1
{ "pile_set_name": "DM Mathematics" }
third biggest value in 4, 0.527, 2/3, -3? 0.527 Which is the smallest value? (a) 2/17 (b) 13 (c) 57 (d) 175 a Which is the fifth biggest value? (a) -0.1 (b) -1 (c) -498 (d) -2/11 (e) -5 (f) -3/2 e What is the third biggest value in 0.06442, 1.9, 4? 0.06442 Which is the biggest value? (a) -5 (b) 0.42 (c) 3/7 (d) 0.3 (e) -0.092 (f) 2/17 c Which is the fourth smallest value? (a) 5 (b) 0 (c) 4 (d) 11179 d What is the smallest value in -1, -0.5, -0.24, 3, 0.01? -1 What is the fourth smallest value in -11, 3/4, 348, 0.5, 0, 3? 3/4 What is the fifth biggest value in 2/29, 0, -2, 3/2, -11? -11 Which is the smallest value? (a) -375 (b) 0.1 (c) 3 (d) -4 (e) 2 a What is the second biggest value in -0.18, 169, -0.5? -0.18 What is the third smallest value in 2, 6, 0.2, -1, -1757, -0.4? -0.4 Which is the third smallest value? (a) -597 (b) 1 (c) -1 (d) 0.2 d What is the fifth smallest value in -4/3, -4, -0.6, 1/6, -715, 0.13? 0.13 Which is the third smallest value? (a) 0.1 (b) -0.06 (c) -6 (d) -23 (e) 1 b Which is the third smallest value? (a) -5 (b) 16/13 (c) 3 (d) 0.07 b What is the second biggest value in -2/35, 6932, -1? -2/35 Which is the sixth biggest value? (a) 0.5 (b) 0.9 (c) -2/23 (d) 3 (e) -1 (f) 2.2 e Which is the fifth biggest value? (a) 1 (b) -6 (c) 0.09 (d) 0.3 (e) -117 (f) 0 b What is the third smallest value in 4, 27, 1, -15, -0.5? 1 Which is the third smallest value? (a) 5.4 (b) 1/35 (c) 2/7 (d) 0.4 (e) -2 c Which is the second biggest value? (a) -3 (b) 5 (c) 0.4 (d) 1041 b What is the biggest value in 3, 0.5, 0.3, 0.68, 0.4, 0? 3 Which is the biggest value? (a) 5 (b) 11 (c) -1.2255 b Which is the biggest value? (a) -52 (b) -0.014 (c) 3/4 (d) -4 (e) 5 e Which is the third biggest value? (a) -2 (b) -408/19 (c) 1/73 b What is the third smallest value in -0.5, -1, 2/7623, -2? -0.5 What is the third biggest value in 0, -2/5, -8, -1/247? -2/5 Which is the fifth smallest value? (a) -8 (b) 10 (c) -10/3 (d) 0.1 (e) -6 b What is the second biggest value in -3933, 1/6, 0, -3? 0 Which is the biggest value? (a) 1/7 (b) -2/13 (c) -1/2 (d) -118 (e) -2/39 (f) -1 a Which is the biggest value? (a) -2/13 (b) 0.2 (c) 1 (d) 2/779 (e) 0.14 c Which is the sixth biggest value? (a) 1/11 (b) -2/5 (c) -0.2 (d) -0.38 (e) 1/6 (f) 31/3 b Which is the second biggest value? (a) -1/9 (b) -5367 (c) 18 a What is the third biggest value in 8/3, 4, 0.2, 0, -0.072? 0.2 Which is the second biggest value? (a) 82 (b) -4 (c) -71 (d) 0.4 d Which is the second smallest value? (a) 1 (b) -556153 (c) 2 a What is the fourth biggest value in -1/6, 32.9, 3/2, -1/3, 4/3? -1/6 What is the third biggest value in -1/4, -0.214, 4, -2, 6? -0.214 What is the biggest value in -5, 5, -4, -585? 5 What is the fourth smallest value in 0.3, 1, -2/13, 6, 1076, -5? 1 Which is the fifth smallest value? (a) -2 (b) 1/5 (c) 88 (d) -26 (e) 2 c What is the biggest value in 0.5, -0.08, 6/8807? 0.5 What is the fifth biggest value in -2, 1, 0.07, -2/10865, -3? -3 Which is the third smallest value? (a) 21 (b) 36 (c) -24 b What is the fourth smallest value in 9/26, 0.7, 3, 2/5? 3 What is the third smallest value in 34, -3, 3, 0.16188? 3 What is the second smallest value in 1/205, 1, -0.26? 1/205 What is the second smallest value in -3/8, -0.08961, 2/11, -2? -3/8 What is the second biggest value in 13, -37, 4? 4 What is the third smallest value in -1082, -1/8, 10? 10 What is the smallest value in 57, 98, -2? -2 What is the fifth biggest value in -2, -2/13, 1, 4, 4/113? -2 What is the fourth biggest value in 0.746, 3/4, 6, -0.03, -8? -0.03 What is the second smallest value in 0.1, 14/3, -5/56? 0.1 Which is the second smallest value? (a) -105 (b) -3 (c) -14/5 (d) -0.1 b Which is the biggest value? (a) -0.4 (b) -115/19 (c) 3/7 (d) 1/2 (e) 3 (f) -15 e Which is the fifth biggest value? (a) 3 (b) -0.01 (c) -0.4 (d) -0.3 (e) 7 (f) -0.11 d What is the biggest value in -2/5, -2/3, -4, 22, -1/2? 22 What is the third biggest value in -21, -5, 44? -21 Which is the second biggest value? (a) -286 (b) -0.6 (c) 2/297 b What is the second smallest value in -0.2, -41, 0, 135? -0.2 Which is the third smallest value? (a) 2 (b) 44 (c) 8 (d) -47 c What is the fourth biggest value in -2, -3, 2/5, 2/19, 9257, -0.3? -0.3 Which is the second smallest value? (a) 2/7 (b) 5/3 (c) -523 (d) 0.2 (e) 1/7 e Which is the biggest value? (a) -0.1 (b) 0.4 (c) 3 (d) -0.3 (e) 22.2 e Which is the second smallest value? (a) 16 (b) -4 (c) 0 (d) 0.4 (e) -0.4 (f) 0.868 e Which is the second smallest value? (a) 0.358 (b) -2 (c) -63 (d) 0 (e) 2/3 b Which is the smallest value? (a) 79 (b) -43 (c) 25.2 b Which is the smallest value? (a) -4 (b) -0.018 (c) 1/2 (d) -1/6 (e) 2 (f) -74/7 f What is the fifth smallest value in -4, -25, -3/5, 1/53, -5, -3? -3/5 What is the third smallest value in 2, -1/3, 42, 1393, 5? 5 Which is the third biggest value? (a) 5 (b) -2 (c) -4/199 (d) 4 (e) -3 c What is the fourth biggest value in 0.022, 6, -5, -0.3, -1/4, 2? -1/4 What is the fourth smallest value in 0, -2, -2/13, -58? 0 What is the smallest value in -0.46, 0.1, 2, -7, -0.7? -7 Which is the fourth smallest value? (a) -2 (b) 8073 (c) -3/5 (d) -0.3 b Which is the second biggest value? (a) 1 (b) -3/2731 (c) 0.1 (d) 0.4 d Which is the fourth smallest value? (a) 0.5 (b) -1 (c) 4/391 (d) -1/5 a Which is the second biggest value? (a) -982 (b) -2/7 (c) -15/23 c What is the second biggest value in -3, -0.5, 21560? -0.5 Which is the smallest value? (a) -1 (b) 0.6 (c) -4.94 (d) 1/4 (e) 8 c Which is the fourth biggest value? (a) 3 (b) 0.2 (c) 339 (d) 102 b What is the biggest value in -1, -1/2, -924, -13/4? -1/2 What is the smallest value in -0.3, 6, 0.4, -3/5, -31, 2? -31 What is the fifth biggest value in 13, -11, 0, 3/5, 5? -11 What is the third biggest value in -2/79, 2, 0.03? -2/79 Which is the third biggest value? (a) -16/11 (b) -17/20 (c) -1/5 (d) 1 b Which is the third biggest value? (a) 0.2 (b) -2/11 (c) -239/397 c Which is the third smallest value? (a) -30 (b) 3 (c) -2332 (d) -1/7 d Which is the smallest value? (a) -72 (b) -1/4 (c) -4 (d) 110 (e) -3 (f) 3 a Which is the fourth biggest value? (a) 0.4 (b) 1 (c) 3 (d) -26 (e) 4 (f) 0.5 f What is the third smallest value in 33, -0.1, 0.08, 0.2, -12.9? 0.08 What is the smallest value in 0, -677, -4, 0.4, 4, 3/4? -677 What is the smallest value in 6/1111, 2, -1? -1 What is the fourth biggest value in 0.06, 3/38, 65, -3/7, 1, -0.1? 0.06 What is the biggest value in -1, -16, -135? -1 Which is the third smallest value? (a) 16 (b) -0.3 (c) 0.1 (d) -3 (e) -30 b What is the third smallest value in 1/7, -0.043, 4/23, -4/3, 4? 1/7 What is the third smallest value in -0.1, -0.8, -12871? -0.1 Which is the third biggest value? (a) 0.033348 (b) 5 (c) -2 (d) -0.1 (e) 4 a Which is the third smallest value? (a) 261.4 (b) -0.3 (c) 13/17 a What is the second biggest value in 1842, -0.3, -0.4? -0.3 What is the fourth biggest value in -22/7, -9/5, -6/463, -1/8? -22/7 Which is the fourth biggest value? (a) -40 (b) 0 (c) 3 (d) -4 (e) -1/5 d Which is the third smallest value? (a) -10 (b) 0.014 (c) -190 b Which is the second biggest value? (a) 0.5 (b) -0.3 (c) -81/1048 c What is the smallest value in -9, 3, 131210? -9 Which is the second biggest value? (a) -1 (b) -0.8948 (c) -0.02 b What is the fourth biggest value in -2/21, -1, -55, 21/2, -0.7? -1 What is the fourth smallest value in -2, -706, 2, 2/11, 0? 2/11 What is the second smallest value in 0.054, 0.1, 4, -2, 0.4, 0? 0 Which is the second smallest value? (a) 2/11 (b) -2/5 (c) -5/4 (d) -900 (e) -2/13 c What is the fourth smallest value in 0.1, -1, 2/1931, 2/25? 0.1 What is the smallest value in 1/8, 0.8, -1/4, -4, -1/2? -4 Which is the fifth biggest value? (a) 0.2 (b) -1/5 (c) 0 (d) 0.4 (e) 46 b What is the third biggest value in -4, 2/417, 5? -4 Which is the fifth biggest value? (a) -0.3 (b) 0.035 (c) 17 (d) -3 (e) 88 (f) -5 d Which is the third smallest value? (a) -360/1711 (b) -0.4 (c) 8 c Which is the third biggest value? (a) 5 (b) 1
{ "pile_set_name": "DM Mathematics" }
= b for t. 5 Let o be 5 + 1 + 24/6. Suppose -2 = -3*c + 2*h + o, -3*h = -2*c + 3. Solve 2*l - l - 4 = -2*y, 4*l = 2*y + c for y. 1 Suppose 7*f - 11*f = -212. Let r = f - 49. Suppose -l + 5*l + j = 21, -r*l - 2*j + 22 = 0. Solve -2*n = 5*y - 7 + 34, 3*y + l*n + 20 = 0 for y. -5 Suppose -66*x + 37 = -22 - 73. Solve 5*t + 5 = -2*g - 18, 7 = -t + x*g for t. -5 Let s = -2911 - -2911. Solve -5*y - 7*n + 5*n = 10, s = -4*n - 20 for y. 0 Let b be 24 + -28 - (-7 - 0/3). Let q be 3 + 5 + b + -3. Solve 4*h - j - q = 11, 0 = -h - j + 6 for h. 5 Suppose -7*o - 5780 = 10*o. Let s = 345 + o. Solve 5*p = 5, 8 = 5*t + s*p - 2*p for t. 1 Suppose 42*b = -2*m + 41*b + 8, 2*m - 2*b = -4. Solve 11*i = 13*i + 8, m*n - 2*i = -2 for n. -5 Let z be (-2)/5 - (-107)/5. Let l be (-5 + 87/21)*-7. Let j be 14/(-42) - (-32)/l. Solve 25 = 3*v + 4*u, z = v + j*u - 2 for v. 3 Let b = 6664 - 6659. Solve -20 = -b*c, 0 = 2*f + 2*c - 12 + 6 for f. -1 Suppose 26*y + 12*y = 60 + 54. Solve 0 = 2*g + y*r - 25, -3*g - 5 + 0 = -4*r for g. 5 Suppose -5*v = -5*x - 10, 10 = 4*v - 3*x - 3. Let p be (v/2)/(-7)*6. Let a be (-21)/(p + 0)*1. Solve -5*u - 7 = 2*c + 8, c = -2*u - a for u. -1 Let m = -5 - -7. Suppose m*l = -7 + 15. Let x be (3 - 10) + 0 + 20. Solve k = -2*w + x, l*k = 13 - 1 for w. 5 Suppose 5*k - 783 = 2*q - 2369, 3965 = 5*q + 5*k. Let z = 798 - q. Solve -x + z = -2*d - 8, -x + 5*d = -28 for x. 3 Let i(t) = 2*t**2 + 5*t - 129. Let j be i(7). Solve 3*f - 15 = 0, 2*u + 0*u - j*f + 28 = 0 for u. -4 Suppose 2*t + u - 17 = t, -3*t + 2*u + 46 = 0. Suppose -v + 51 = t*v. Solve 5*k + v*f = -37, 0 = -2*k - 2*f - f - 22 for k. -5 Let h = -5598 + 5600. Solve h*u = -5*j + 30, 17 = -14*u + 15*u + 3*j for u. 5 Let r(h) be the third derivative of h**5/30 - h**4/8 + h**3/2 + 36*h**2 - 2. Let s be r(2). Solve 0 = 2*l - 2*c + 5 + 1, l - s = -3*c for l. -1 Let g = 521 + -512. Let f(c) = 7*c - 63. Let v be f(g). Solve 2*i - 6 = -2*p, -7 = -2*i - v*i - 3*p for i. 2 Suppose -4*o = -o. Suppose -2*a = 2*j - 14 - 62, o = 3*a - 2*j - 109. Let m = 397 + -392. Solve a = m*u - 3*i, 5*i = -u - 3*u for u. 5 Let r(d) = 35*d + 133. Let a(p) = -1. Let o(l) = a(l) - r(l). Let j be o(-4). Solve -4 = -2*s, -7*i + 2*i + 3*s - j = 0 for i. 0 Suppose -5*u + 39 = -1. Suppose u*b + 105 = b. Let w be (-2 + (-88)/(-12))*b/(-4). Solve 0 = -5*p + c + w, 0 = 3*p + 4*c - c - 12 for p. 4 Suppose 4*z - 12 = 2*d, -3*d - 2*z + 1 = -5. Let n be (((-957)/18)/(-11))/((-96)/(-576)). Solve y - 3 = -f, d*f = 2*y - 5*f + n for y. -2 Let h = 582 + -996. Let c = -409 - h. Solve -3*u - 6 = 3*w, 0 = -c*w + 10 for u. -4 Let a be 5 - (1 + 2 + 1 - 1). Suppose 5*q = -15, y + a - 3 = -5*q. Solve -5*v + y = 4*k, -4*v + 12 = 3*k - 1 for v. 4 Suppose 4 = -k + 5, -2*c + 5*k + 3 = 0. Suppose m + 1690 - 1709 = t, 4*m + 3*t = 13. Solve -2*v + 4*u = m, -5*v = -4*v + c*u - 25 for v. 5 Let i be (-2640)/(-22)*(18/(-4))/(-3). Let u = i - 175. Solve l - u*w - 1 - 2 = 0, 2*l + 4*w - 6 = 0 for l. 3 Let n be ((-2)/(-6))/(12 - (-1498)/(-126)). Suppose c - 3*f = 4 - 1, n*c - 9 = 2*f. Solve 3*i + 5*z = -13, c*z + z + 36 = 4*i for i. 4 Let y(s) = -325*s + 2605. Let n be y(8). Solve -5*c = -6*c + x + 8, 5*c + 10 = -n*x for c. 3 Let p(b) = 32*b + 554. Let f be p(-17). Solve v = 2, -5*n + 3*v = -f*n - 19 for n. -5 Let q(t) = -t**2 - 24*t - 96. Let x be q(-8). Solve -52 + x = -c + 5*s, s + 3 = 0 for c. 5 Let l(s) = -48*s - 6572. Let n be l(-137). Solve 0 = 3*q + 3*x - 9, 0 = -181*q + 176*q + n*x - 21 for q. -1 Suppose -107 + 41 = -11*h. Suppose -h*d = 5*d + d. Solve d = 4*b + 2*u + 14, -4*b + 3*u - 24 - 5 = 0 for b. -5 Let c = -12138 + 12143. Solve -m = -n - 2, 3*n - 13 = -c*m - 35 for n. -4 Suppose 10 = 26*b - 31*b. Let y be (7 + -4)*(-1 - b). Let n(x) = -16*x - 404. Let z be n(-26). Solve 0 = 4*s - 3*t - z, -4*t - 9 = -4*s + y for s. 3 Let i be (5/(-3))/((-35)/168). Suppose -3*k = 5*x + 5, 5*k - 29 = -i*x + 9*x. Solve 3*c - k*l + l - 10 = 0, 0 = 2*c + 4*l for c. 2 Suppose 0 = -134*r - 10*r - 2310 + 2886. Solve -2*w = 34 - 24, r*x + 5*w + 9 = 0 for x. 4 Let q = -2559 + 2567. Let g(k) = 10*k**2 - k. Let x be g(1). Let c be (48/8 - x) + 0 + q. Solve d - c*d = -j - 8, -4*d = -3*j for d. 3 Let k be (-5)/2 - 1700/(-200). Solve -k = 3*i, -5*z = -14*i + 13*i - 17 for z. 3 Suppose -z - 4*t - 11 = 0, -2*z - 5*t - 11 = 2*z. Suppose -q + 4*k = z, -3*k - 36 = 4*q - 51. Solve 7*u - q*u - 5*f - 17 = 0, 5*f = 3*u - 19 for u. -2 Let x be 154/16 + ((-1360)/128 - -11). Solve u = 2*t - x, 4*u - 2*t + 3*t + 4 = 0 for u. -2 Let f be 121/24 + (-23)/((-3864)/(-7)). Solve f*r - 30 = -5*b, 2*b + 0*r - 9 = r for b. 5 Suppose 10 - 34 = 4*s - 4*j, 4*j = 5*s + 26. Let w = 3 - s. Let g be (-8 + -2 + 9)*(-30)/2. Solve 2*h = -h - 4*t + 7, h - g = w*t for h. 5 Let i = -12 - -16. Let x be (6 + 0/(-6))*i/8. Let a be (-4 - -4)/(1 + -4). Solve a = 5*q + x*k + 35, 2*q + 0*k - 2 = 2*k for q. -4 Let h = 11 + -3. Let d be (-14 - -12)/(h/(-7) - -1). Solve 5*y + 13 = 4*w, 3*w + d = -0*w - y for w. -3 Let a(q) = 4*q - 15. Let w = 124 - 173. Let y = -44 - w. Let z be a(y). Solve -5*f + 5 = -z*d, 2*f - 2*d + 7 = 3*f for f. 3 Let p = 11514 - 11496. Solve -5*w = -4*q + p + 23, -3*w + 5*q = 35 for w. -5 Let n = -24 - -26. Suppose -4*m = 3*f - 31, -3*f - n = -5*m + 3. Let i be m*((-13)/4 - -4). Solve 0*u + 2*r + 10 = i*u, -r = -5*u + 19 for u. 4 Let t(x) = -5*x - 41. Let o be t(-14). Suppose 25*y = 71 + o. Solve j + w + 6 = 2*w, -2*j = y*w for j. -4 Let n = 605 + -588. Suppose 0 = -4*z - n*z + 63. Solve -c = z*b + 19, -c = -b - 2 + 1 for b. -5 Suppose 605 = 232*c + 373. Solve -p - 5*n = -9, 24*p + 2*n = 21*p + c for p. -1 Let w = 565 + -654. Let v be w/(-6) - ((-62)/12 + 5). Solve -3*d + v = 0, -3*b = d + 4*d - 19 for b. -2 Suppose -4*h + 21 = -h. Suppose 96 = 11*f - h*f. Suppose -t - f = -9*t. Solve 0*j + t*j + 11 = -5*r, -r = 2*j - 2 for j. 3 Suppose -33*o - 17*o = 22400. Let k = o + 448. Solve -t + 17 = -2*z - 6*t, k = 2*z + t + 5 for z. -1 Let w be (-1)/(14/(-4)) + 39237/8323. Solve 5*q + 5*i + w = 0, q + 96*i = 97*i - 1 for q. -1 Suppose 4*u + 2*b + 52 + 26 = 0, -2*u = -5*b + 21. Let o = u - -22. Suppose 0*f = o*f - 20. Solve y = 4, -n + f*y = -3*n + 28 for n. 4 Let g = 261 + -312. Let l = g - -51. Solve -4*o + 5*o = -3*x, l = -5*x - 2*o + 1 for x. -1 Suppose b + 3*p - 2 + 14 = 0, -12 = 3*b - 3*p. Let z be b - (-16 - (-4 - 3)). Solve u + 3*u = -z*q - 14, -4*u - 20 = 0 for q. 2 Let z = -16323 - -16323. Solve -t + w = 5, z*t + w - 2 = -2*t for t. -1 Let a = -5 + 12. Let n be (2 - 3)*-8*6/(-3). Let i(d) = -d**3 - 17*d**2 - 18*d - 27. Let l be i(n). Solve l*j + 3*h + a = -15, -5*h = j for j. -5 Let t = -22 + 91. Let q = t + -63. Suppose -2*x = -q*x + 100. Solve -4*u - l = u + x, 3*u + 15 = -5*l for u. -5 Let s = -24 - -30. Let j be (-77)/14 + s + (-1)/2. Solve -4*c - 11 = -j*c - 3*o, 0 = o + 3 for c. -5 Let p(i) = i**3 - 8*i**2 + 8*i + 1. Let u be p(7). Let f(q) = -3*q**3 + 22*q**2 + 16*q + 5. Let r be f(8). Solve -2*z = -5*x - u, -z + 5*x - 1 + r = 0 for z. 4 Let p(s) = -4*s**3 + s**2 + s - 1. Let f(j) = j**2 - j - 13. Let v be f(-3). Let y be p(v). Solve 0 = -4*c + d - 8, d - y - 1 = 0 for c. -1 Let t be 1/(((-12)/20)/3). Let s be 4 + -1 + t + -1. Let c be 78/(-4)*2/s. Solve 38 - 10 = -5*z + 3*p, 2*z + c = 3*p for z. -5 Let c(z) = -8*z - 16. Let m be c(-3). Let y be (3 + (-12)/16)/((-3)/m). Let x be (-2)/((-11)/15 - 2/y). Solve 0 = x*k - u + 4*u - 2, 0 = 5*k - 4*u + 26 for k. -2 Let q be (-26)/(-8) - 5/20. Suppose -3*b = -4*m - 33, -4*b - q*m = -0*b - 19. Suppose 11*h = b*h. Solve 3*r = -l + 26 - 7, 3*r - 2*l - 7 = h for r. 5 Let r = 161 - 156. Let b(m) = -4*m - 21. Let z be b(-6). Let l be (1/z)/(1/18). Solve -2*u - 2*h = -l, -2*h = -u + 2*u - r for u. 1 Suppose -5*j = 7*j - 288. Suppose 408*k - j = 402*k. Solve -5*b = -4*m - 24, 3*b - k - 12 = 4*m for b. 4 Suppose r - 130 = -5*y, -4*y + 3*y - 3*r = -26. Let z = -24 + y. Let d be 6/z + (-1 - -2). Solve 5*b - 3*a = -32, -a + 6*a - d = -4*b for b. -4 Let z = 97 + -96. Let u be 3 + -3 + (3 + z - -69). Let i = -66 + u. Solve -5*d + p = -16, p - i = -5*d + 7 for d. 3 Let j(u) = u**2 + 8*u + 6. Let r be j(-6). Let h be (-9)/(-3)*(1 + r/(-9)). Solve 0 = -a - h*s + 21, -3*s + 35 = a - 6*a for a. -4 Suppose 5704*x = 7322*x - 8090. Let j = 38 + -17. Solve 4*r = x*u + j
{ "pile_set_name": "DM Mathematics" }
, -4370, -10362, -20228, -34934, -55446, -82730? -117752 What is next in -2259, -13709, -43533, -100917, -195047, -335109? -530289 What is next in -419606, -419607, -419608, -419609? -419610 What is next in -484, -506, -556, -646, -788, -994, -1276, -1646? -2116 What comes next: -20, 164, 472, 904? 1460 What is next in 2458, 5027, 7598, 10171, 12746, 15323, 17902? 20483 What is next in -194, -664, -1440, -2528, -3934, -5664, -7724, -10120? -12858 What comes next: 20772, 20781, 20794, 20811, 20832, 20857? 20886 What is the next term in 9415, 18424, 27433, 36442? 45451 What comes next: 67822, 67807, 67782, 67747? 67702 What is next in -133, -203, -275, -349, -425, -503? -583 What is next in 38931, 77874, 116819, 155766, 194715, 233666? 272619 What is next in -58, -410, -1336, -3112, -6014, -10318, -16300, -24236? -34402 What is next in -24511, -24512, -24513? -24514 What is the next term in 147781, 295565, 443349, 591133, 738917, 886701? 1034485 What is next in 6069, 12089, 18121, 24171, 30245, 36349, 42489, 48671? 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{ "pile_set_name": "DM Mathematics" }
, 2/7? 2/7 Let s = -46 - -48. Which is the closest to -5? (a) s (b) -0.3 (c) -5 (d) 1/5 c Let o = 781 + -777. Which is the closest to -1? (a) o (b) -4/7 (c) 13 b Suppose -4*o + 13 = 5, -4*o = 3*b - 17. What is the nearest to -0.16 in b, -3, 1/5? 1/5 Let u(y) be the third derivative of y**4/24 + y**3/2 - 7*y**2. Let m be u(-4). Let v = 9 - 5. Which is the closest to m? (a) 3/5 (b) v (c) -5 a Let o = -0.52 - -0.5. Let j = 0.12 + o. Let d = 0.34 - -4.66. What is the nearest to j in 1, d, -1? 1 Let q = 310.5 - 311. What is the closest to 0.2 in 0.007, q, -2, -0.3? 0.007 Let y = -78.9 - -75.9. What is the nearest to 1/3 in 2/13, 5, y, -5? 2/13 Let d be 327/763 - ((-246)/112 - 0). Which is the nearest to 0.1? (a) -1 (b) d (c) 2/7 c Let w be (2 + (-9)/4)*1. Let j = -0.18 + -0.02. Let t = -104 + 103. What is the nearest to t in j, 5, w? w Let w = 0.18 - 0.146. Let y = 0.166 + w. Let x = -8 - -12. What is the nearest to x in 1/4, y, -2? 1/4 Let m = -3.3 - -1.3. Let t = m - -6. Which is the nearest to 0.2? (a) -4 (b) t (c) 0 c Let j = -26.9 - -36.9. Which is the nearest to j? (a) -1/2 (b) 3 (c) -13 b Let x = -28 + 28.4. What is the closest to 0.02 in 0.2, x, -4, -1? 0.2 Let u = 13/2 - 5. Let q = -8.7 + 8.8. What is the closest to -0.17 in 4, u, q? q Let k be (4/(-8))/((-3)/2). Let m = 1.022 - -0.978. Which is the closest to k? (a) -0.5 (b) 2/25 (c) m b Suppose -3*i - 3*u = 2*u + 33, 4*u = 2*i. Which is the nearest to 0.3? (a) 2 (b) i (c) 2/5 c Let t be (-732)/(-5551) + 1*2/(-7). Which is the closest to -3? (a) t (b) 0 (c) 3/8 a Let x be (5 + 786/(-156))/(1/4). Let r = -50.3 + 50. What is the closest to x in 4, 1, r? r Let i = -298 - -295. Which is the closest to -0.07? (a) i (b) -5 (c) -2 c Let m = 120 - 106.4. Let n = m - 15. Let w = n - -1. What is the closest to 1 in w, -1, 2/5? 2/5 Let m = -0.99 + -0.01. Let r = -17.3 - -15.3. Which is the nearest to r? (a) m (b) -5 (c) 4/5 a Let g = -0.1 + 0.1. Let l = 1.1 - 0.1. Let f be 3 - 14/(-1)*(-1)/6. Which is the nearest to l? (a) 3 (b) g (c) f c Let m be (-6)/12*0/10. Let r = 0 - 1. Let z be 2/5*15/(-18). What is the nearest to r in 1, m, z? z Let m = 0.0302 + -0.1302. What is the closest to 8 in -5, m, -1/3, -3? m Let l = -0.9 + -0.7. Let w = 1 + -1. Which is the nearest to 1/2? (a) l (b) w (c) 5 b Let x = 380.8 - 381. Which is the closest to 0.03? (a) 4/3 (b) 14 (c) x (d) 1 c Let l be (64/144)/(12/9). What is the nearest to -0.1 in -4, 11, l? l Let j = 54 + -54.04. Let y be (-52)/10 + 5 + 4/(-30). What is the closest to y in 2, 0, j? j Let d = 11/78 - 64/39. Let u = 0.1 + -0.3. Let y = 1.2 + u. Which is the nearest to -0.1? (a) d (b) -0.5 (c) y b Let i = -4 + 16/3. Let g be ((-20)/(-25))/(6/10*-1). What is the closest to 0.1 in 3, i, g? i Let j be (-1 + 0 + 0)/(5/10). What is the nearest to -3 in 1, 0, j, 0.1? j Let k be (-5)/(-2)*8/10. Let j = 8.98 - -1.12. Let i = 10.2 - j. Which is the nearest to -2/7? (a) 1 (b) k (c) i c Let k = 17.1 + -17.4. What is the nearest to -1/2 in -5, k, -0.2? k Let m be (-4)/10*(-11)/(18 - 7). What is the nearest to m in 2, 2/19, 5? 2/19 Let j = 8.9036 + 0.0964. Let m = 0.1 - 0.2. Which is the closest to m? (a) 1 (b) 0.5 (c) j b Let x be -1*(5 + -3) - 2154/15. Let m = x - -146. Let j(y) = -y**2 - 4*y + 1. Let b be j(-2). What is the closest to -1 in m, b, -4? m Let n = -10909/5 - -2182. Which is the nearest to -1/4? (a) n (b) 3/16 (c) -0.4 (d) -0.2 d Let b = 4.0096 - 0.0096. What is the nearest to 0.5 in -2, b, 1/2? 1/2 Let f(d) = -2*d + 16. Let o(z) = -10*z + 80. Let g(q) = -11*f(q) + 2*o(q). Let u be g(6). What is the nearest to 2/7 in -3, u, -2/7? -2/7 Let z = -1356 + 6782/5. Let n = 0 - -0.3. What is the nearest to z in 2/11, n, -1? n Suppose p - 137*m + 140*m - 11 = 0, -5*m + 45 = -5*p. Which is the nearest to p? (a) -3/5 (b) -2 (c) -1/3 b Let v = 26.89 + -27. What is the closest to 0.2 in 0.5, 2, v? 0.5 Let u = -17.35 - -17.35. Which is the nearest to u? (a) 0.5 (b) -4 (c) -376 a Let p(x) = x**2 + 10*x + 17. Let y be p(-7). Let r be -4*2*3/y. Let q = r - 3. Which is the nearest to 0.2? (a) 2/21 (b) 1/6 (c) q b Let y = -265 - -265.2. Which is the nearest to -2/7? (a) y (b) -3 (c) 1/4 a Let v = -52 + 52. Suppose -i + 4*l + 20 = -5*i, 3 = -2*i + 5*l. Which is the closest to -1? (a) v (b) i (c) -3 a Let t = -2.228 - -0.228. Which is the nearest to -6? (a) -1 (b) t (c) -0.1 b Let i = -19.8 + 18. Let h = i + 1.9. Let v(l) = -2*l**2 - 2*l + 1. Let n be v(-2). What is the nearest to h in -1, n, 2? -1 Let m = -39/10 - -33/10. What is the closest to -9 in m, 5, -4? -4 Let s = 1249/7 + -178. What is the closest to 0.09 in s, -3, 1? s Let c = -0.32 + 0.4. Let d = -0.22 - c. What is the nearest to -1 in -5, 0.5, d? d Let q = -0.08 + 0.93. Let a = q - -0.15. Let x = -2 + 2.1. What is the closest to a in x, -2, 1? 1 Let h = -0.2 - -0.4. Let m = h - -0.3. Let j = -30.4 - -29.9. Which is the nearest to -3? (a) m (b) j (c) -2/11 b Let y = -13 - -9. Let i = 5.9 - 6. Which is the nearest to 0? (a) -0.2 (b) y (c) i c Let t = 1.0083 - 0.0083. Which is the closest to t? (a) -14 (b) 2/19 (c) -0.1 b Let k = 6 + -4. Let h = -36075/8735872 - -1/17792. Let x = 1487/3437 + h. Which is the nearest to -0.1? (a) -0.2 (b) k (c) x a Let g = 6.1 + 0.9. Let x = 8343 - 8348. What is the closest to -0.1 in -1, x, g? -1 Let g = -100 + 109. What is the nearest to -1 in 0.4, 4/5, g? 0.4 Suppose -4*z + 4 = 0, 1095 = j - 6*j + 5*z. Let v = j + 3708/17. What is the closest to v in 0.1, -1, 4? 0.1 Let v be (-32)/18 + 2/1. Let u be 3 - (-1)/(3 + 51/(-15)). Which is the closest to -2? (a) u (b) v (c) 0.1 c Let l be (-2 - 8585/(-225)) + -4. Let r = l + -163/5. Which is the nearest to -0.05? (a) -4 (b) -0.1 (c) r b Let u = -414 - -381. Which is the closest to u? (a) -2 (b) 0.3 (c) 4 a Let a be 4 + 2 - 4 - (22 - 18). Let h = -18.4 + 17. What is the nearest to 2/5 in 1/7, h, a? 1/7 Suppose 3*g - 12 = 3. Let j = 1555 + -1554.5. Which is the nearest to 1? (a) j (b) -4 (c) g a Suppose -2*n + n = 0. Let d be 574/(-8) + -1 + 3. Let k = -69 - d. Which is the closest to 1/4? (a) n (b) k (c) 2/7 c Let i = 23 + -146. Let v = i - -124.2. Which is the closest to 1? (a) -1 (b) 0.1 (c) v c Let h = -1 - -8. Let f = h - 5. Let i be (-2 - (-60)/28)*f. What is the closest to -1 in 1/8, i, -2? -2 Let v = -39 - 66. Let d = -100 - v. Which is the closest to -2/5? (a) 14 (b) d (c) -4 c Let v = -1.55 - -1.8. Let j = v - 0.28. Let q = 0.13 + j. Which is the nearest to 2/3? (a) -2/3 (b) -0.3 (c) q c Suppose 4*a = -3*c - 2, -2*c = a + 2*a + 1. Let l = 51 - 51.4. What is the nearest to c in -0.5, l, 1? -0.5 Let a be (-153)/18 - 10/(-4). Let y be (-12)/a*(-2 - -4). What is the nearest to 3 in -0.5, y, -3/2? y Suppose 3*t = 3*x - 15, -t - 5*x + 8 = -5. Let r = 0.4 - 0.9. Which is the closest to 2? (a) r (b) t (c) 4 c Let c be 4 + (0 - (2 + 2)). Suppose c = -0*z - 4*z - 4. Let o = -0.1 - 0.1. What is the nearest to o in 5, z, -5? z Let u = -182 - -182.072. What is the closest to 2/3 in 2/15, u, 2/3? 2/3 Let q = -30 + 27. What is the nearest to -1 in q, -1, -1/4, 0.1? -1 Let w = -7.886 - 0.114. Which is the closest to -1? (a) -2 (b) w (c) -5 a Let t = -2291 - -2289.933. Let p = t - 0.133. Which is the nearest to 0? (a) -5 (b) -4 (c) p c Let s = 1283 - 1282. Which is the closest to s? (a) -2 (b) 1/21 (c) -1/6 b Let x = 1620 - 1621. Let s = 0.2 + 0.2. Let j = -0.3 + 0.6. What is the nearest to -0.2 in x, s, j? j Let v = 3309/4 - 824. What is the closest to -0.2 in 2/17, v, 0.2? 2/17 Let i(d) = 2*d - 13. Let m be i(9). Suppose 2*h + 5*b - 1080 = 0, 3*h + 2*h = 3*b + 2700. Let x be -4 + 0 - h/(-126). What is the nearest to x in m, -5, 2? 2 Let q be (-132)/(-28)*3/((-63)/(-14)). What is the nearest to -0.4 in 0.5, q, -1/9? -1/9 Let r be 18/6 + 24/(-40). What is the closest to 1 in r, 0.3, -0.2, -2/7? 0.3 Let h = -0.35 + 0.05. Let j = -14 + 10. Which is the closest to -3/7? (a) j (b) h (c) -1 b Let j = 1 - 1.6. Let d = 0.5 + j. Let q = 340 + -344. Which is the closest to 2? (a) d (b) q (c) -1 a Let r be -1 - 2*2/(-8). Let h = 13.2 + 1.8. Let z = h - 14. What is the nearest to z in r, -2/5, 4/3? 4/3 Let r be (9 - 53)/(-11)
{ "pile_set_name": "DM Mathematics" }
e 9 + 6 = -g*x for x. -3 Let k = 45 - 42. Let q be 36/(-27)*(-3)/(-2) + 7. Suppose -9 = -3*n - b, -4*n + 3*b + 17 = -2*n. Solve k*a - q = n for a. 3 Let i be (24 + -25)/((-1)/10). Solve -7*a = -5*a - i for a. 5 Suppose 4*p - 33 = -7*p. Solve p*r - 11*r = 32 for r. -4 Let h be (15/(-18))/(26/(-156)) - 2. Let y(u) = -u - 5. Let f be y(-5). Solve f = -0*d + d + h for d. -3 Suppose -5*b + 8 = -q, 40 = 4*q - 17*b + 15*b. Solve 31*u - 28*u + q = 0 for u. -4 Suppose 0 = -4*p - 2 + 18. Suppose -3*w - w = l - 182, 2*w = 4*l + 82. Suppose -76 = -4*f + 4*u, 3*u - w = -2*f - 2*u. Solve p*c + f = -c for c. -4 Let h(n) = 5*n - 7*n + 8*n - 11 - n**2 + 8*n. Suppose -24 = -5*g + 3*a + 16, -3*g + 2*a + 23 = 0. Let k be h(g). Solve -4*s = -k + 6 for s. 4 Suppose 0 = 9*t - 14*t + 240. Suppose -t + 58 = 5*q. Solve q*c - 3 = c for c. 3 Let l(i) = -i**2 - 8*i + 6. Let o be l(-8). Suppose 2*h + 0 = r + 3, r - o = -h. Suppose 0 = 7*g - r*g. Solve 0 = -g*n - 2*n - 2 for n. -1 Suppose -3*r + 11 = 2. Let a be 4/(-2) + 9/r. Let s be (12/30)/(a/5). Solve 0*p - s*p = 4 for p. -2 Let o = 2243 - 2243. Let j(c) = c**2 + c + 2. Let g be (0/(-2))/((-1)/(-1)). Let n be j(g). Solve o = n*z + z + 3 for z. -1 Let q = 370 - 367. Suppose 2*f - f = 0. Let z(i) = i**3 + 10*i**2 + 7*i - 12. Let l be z(-9). Solve -s - q + l = f for s. 3 Suppose 5*i = j - 13, 3*j + i + 2 = 9. Let k be (-7 + 19/2)/((-2)/(-4)). Suppose 2*l = 3*l - k*p, -5*l = -3*p. Solve -j = m - l*m for m. -3 Let m(k) = -10*k - 127. Let q be m(-13). Solve 4*u - u = -q for u. -1 Let q(f) = f**2 - 10*f + 11. Let o be 13 + 8/(-4 + 2). Let h be q(o). Solve r = h*r for r. 0 Let p = -37 - -25. Let c = p + 6. Let a be (-25)/c - 9/54. Solve 3*l = a - 1 for l. 1 Suppose 4*q + 60 = 16*q. Solve -31 = q*s - 6 for s. -5 Suppose -10 - 79 = -89*g. Solve 0 = 2*t + g + 5 for t. -3 Let m(g) = -2*g**3 - g. Let y be (6 - 11)/(-2 + 1). Suppose 4*o = -q - 0 - 1, y*o = 5*q + 5. Let a be m(q). Solve b = -a*b - 8 for b. -2 Let t(v) be the first derivative of -v**4/4 + 2*v**3 - 2*v**2 - 2*v - 12. Let r be t(5). Solve 0 = -2*n + 3 + r for n. 3 Let f = 107 + -101. Suppose -l - 2*g = -3, 0 = -5*l - 4*g + f*g + 3. Solve j + 3 + l = 0 for j. -4 Let m = -45 - -117. Let f = m - 70. Solve f*g - 2 + 0 = 0 for g. 1 Suppose -38 + 118 = 5*j + 5*q, 3*j = 3*q + 66. Let k be (-38)/j + -1 + 6. Solve 0 = -o + k - 0 for o. 3 Let l be ((-36)/(-30))/(-1)*-5. Solve -l*f = 21 - 51 for f. 5 Suppose 40*g + 13 = 41*g. Suppose 3*d = 5*t - g, -3*t + 9 = 2*d - 14. Solve -15 = t*c - 2*c for c. -5 Let b be 32/256*(3 + -3). Solve 14*o - 13 - 15 = b for o. 2 Let n(j) = -j**3 - 5*j**2 - 6*j - 6. Suppose 2*v = -3*v - 20. Let o be n(v). Suppose 3*c = -0*c + 9. Solve o*d - 3 = c for d. 3 Let k be ((-7)/(-2))/((45/18)/5). Solve -k = -4*o + 1 for o. 2 Let j = -39 + 44. Suppose -114 = -44*b - 26. Solve b*o = -j + 11 for o. 3 Let g(r) = -r - 2. Suppose -5*i + 20 = -5*d, 0*d + 3*d = -12. Suppose 0 = -i*w - 2*w - 2, -2*w + 18 = -5*t. Let q be g(t). Solve -4 = -q*u - 10 for u. -3 Suppose -2*a = -14*a + a. Solve a = -5*w + 7*w - 6 for w. 3 Suppose -v + 11 = o, 2*v = 2*o + 1 + 13. Solve v*z = 7*z + 6 for z. 3 Suppose 3*z = 4*z + 3*b - 4, 5*z - 77 = 4*b. Solve s + 16 - z = 0 for s. -3 Let w(y) = -y + 8. Let t be w(-8). Solve -t*a = -20*a for a. 0 Suppose -2*v + 8 = 2. Suppose 4*z = 15 - 7. Suppose -24*s + 12 = -108. Solve -z*f + s = v for f. 1 Let r be (-28)/(-280)*-12 - 116/(-5). Solve 0 = 4*p + r - 38 for p. 4 Suppose -3*c = -3*a - 11 - 1, 0 = -6*c - a + 3. Solve 3 = -2*r + c for r. -1 Let c(i) = -i**2 + 19*i - 58. Let j be c(11). Solve 0 = -d + 7*d - j for d. 5 Let j be (-5 + 9)/(8/6). Suppose -2*n + 29 = 5*m, m - j = 2. Solve -p = n*p - 3 for p. 1 Let n = -1960 + 1960. Solve n = -62*l + 56*l + 18 for l. 3 Let r(j) = 2*j**3 + 5*j**2 + 14*j + 55. Let z be r(-3). Solve -z*o - 14 + 34 = 0 for o. 5 Suppose -3*s + 17 - 2 = 0. Suppose s*x + 4 = 14. Solve -x*n - 5 = -3*n for n. 5 Suppose 59 = 4*d + j, 6*j - 4*j = -2. Suppose d = 4*w + w. Solve -5*x = -w*x for x. 0 Suppose 14*p - 13*p = 102. Let q = 103 - p. Solve i - q = -0 for i. 1 Suppose -11 = 5*a - 16*a. Solve 3 = -x - a for x. -4 Let a = -2 + 5. Suppose n + a*m + 12 = 0, -n = -m + 2*m + 4. Suppose n = 2*h + 6*h. Solve h = -0*q + q + 3 for q. -3 Let w = 13 - 9. Suppose i - 3 = 0, -w*c = -2*c - 2*i + 26. Let l = -7 - c. Solve l*d - 3 = -0 for d. 1 Let g = 1214 + -1145. Solve -g = 13*l + 10*l for l. -3 Let l be 15/(-12) + 904/32. Solve 0 = g + l - 28 for g. 1 Suppose 3*z = 2*y - 5 - 1, -5*z = -3*y + 9. Let j be (-12)/(-4) - z/2. Suppose -j*q = -q - 12. Solve 0*l + q = -2*l for l. -3 Suppose 0 = -a + 4*a - x + 6, -4*x - 4 = 2*a. Let r be (-6)/9*(-9)/a + 3. Solve 5*t + 10 = -r*t for t. -2 Let l(m) = -m**2 + 6*m + 59. Let r be l(-5). Solve 0 = -r*h + 5*h + h for h. 0 Let h = 28 - 19. Suppose -h - 3 = 4*u. Let s be 0/(-3) - u/1. Solve 2*p = -p - s for p. -1 Suppose -13 = -2*i + 3*d, 5*i + 4*d + 2 + 0 = 0. Suppose 5*o - 3*b = 40, 2*o = -b + i*b + 16. Solve -6*q - o = -2*q for q. -2 Let p(g) = g**3 + 21*g**2 + 11*g - 26. Let z be p(-20). Let v = -151 + z. Solve f - v*f + 4 = 0 for f. 2 Let u(g) = -g**3 + 6*g**2 - 4*g - 2. Let h be u(5). Let t(m) = -m**3 + 9*m**2 - 2*m + 18. Let q be t(9). Let n be q + 0 + 0 + h. Solve 2*i + 9 = n for i. -3 Suppose -3*j + 3*z + 0 = -3, 0 = z - 1. Let v(n) = 4*n - 5*n + n**3 - 3*n**2 + j*n. Let g be v(3). Solve 2*m + g = 3*m for m. 3 Suppose 0 = -5*x - 20 + 95. Suppose 0 = -k + 7*k - 102. Solve x*y + 8 = k*y for y. 4 Let i be 8/6*(-87)/(-116). Solve 4*j + 3 = -i for j. -1 Let g be 2/3 - 3/(36/(-280)). Solve -21*d + g = -15*d for d. 4 Let k be (-52)/4*(6 - 5). Let x = k - -15. Solve 0 = 2*n + x*n + 12 for n. -3 Suppose 0 = 3*d - 7 - 5. Let c = -886 - -891. Solve -c*s = -1 - d for s. 1 Let q be (14/4)/(63/(-14) + 5). Solve 4*y - 7*y = q*y for y. 0 Let l(s) = 11 - 2*s**3 + 10*s - 6 + 10*s**2 + 3*s**3. Let q be l(-9). Let h be (-3 - (q - -1))/(-1). Solve -d = -h*d for d. 0 Suppose -2*n = -3*z + 18, 3*z + 52 = -3*n + 55. Solve 22 = z*l + 2 for l. 5 Let p be 69/23*(2 + 12). Solve -44 = -2*d - p for d. 1 Let y be (-72)/16*(1 + 19). Let q = y - -90. Solve q = -n - n for n. 0 Suppose 0*l - 4*l = -5*b + 9, 4*l - 6 = 2*b. Suppose -4*a = 3*w - 3*a - 9, 2*w - 19 = -b*a. Solve -w*x + 0 = 4 for x. -2 Let i be -5*(-264)/60 - 0. Solve i*y = y for y. 0 Let p be (-154)/(-84) - (-4)/24. Solve -p*r + 86 - 80 = 0 for r. 3 Let g(u) = -u**2 + 2*u. Let d be g(0). Suppose 23*q - 25*q + 8 = d. Solve q*z + 22 = 6 for z. -4 Suppose w + 4*b - 22 = 0, -b = 3*w - 34 + 12. Solve 0 = -3*q - w for q. -2 Let w = -19 + 15. Let o be w/(-8)*(15 - 5). Solve -n - o = -2*n for n. 5 Suppose 0 = 5*z + 5*o - 35, -2*o = 27*z - 30*z + 1. Solve -2*k - 13 = -z for k. -5 Let q be 3*(4 - 30/9). Let r be q/3 + (-20)/(-15). Solve 0*l = r*l for l. 0 Let g = -145 + 139. Let n(o) = 10*o + 64. Let s be n(g). Solve u = 1 - s for u. -3 Let h(w) = 5*w + 21. Let x be h(-10). Let k = -24 - x. Solve 0 = -k*i + 35 - 10 for i. 5 Suppose 5*k + 4*o = 90, -18*k = -14*k + 3*o - 72. Suppose 0 = -0*p - p - 4. Let w be k/4 + (-6)/p. Solve -c - c = w for c. -3 Let m be 16/4*18/8. Suppose -g - 4 - 1 = -v, -3*v + m = -2*g. Let q be -1 - 1/2*g. Solve q*z = -3*z - 5 for z. -1 Let z(h) = -h**3 - 7 + 6 + 3*h**2 + 2*h**3. Let f be z(-2). Let y(t) = -t + 27. Let j be y(22). Solve 4 = -f*s + j*s for s. 2 Let r(h) = -3*h**2 - 21*h - 4. Let t(a) = -a**2 - a. Let c(o) = -r(o) + 2*t(o). Let n be c(-19). Solve -n*j - 4 - 8 = 0 for j. -3 Suppose 22 = 5*w - 2*o, -5*w + 25 = -5*o - 0*o. Let h be ((-8)/7)/(20/(-70)). Solve w*b - 12 = -h for b. 2 Let h(a) = -2*a - 9. Let r(u) = -2*u**2 - 2*u - 2. Suppose 5*x = -z - 2*z - 10, 2*z = -4*x - 8. Let q be r(x). Let o be h(q). Solve o = -f - 0 for f. -3 Suppose 3*y = 5*s - 28, 10*y = 4*s + 8*y - 22. Solve 7*p + 2 + s = 0 for p. -1 Suppose 0 = 3*o + 12 - 0. Let b be (6 + 0)/((-6)/o). Let c(t) = 554*t + 3878. Let w be c(-7). Solve 2*s = -w - b for s. -2 Suppose 488 = -5*g - 2*j, -2*g + 3*g + 102 = 4*j. Let u = g - -102. Solve -y + 10 = u*y for y. 2 Let r(f) = -5*f + 50. Let i = -17 - -27. Let y be r(i). Solve y*m = 2*m for m. 0 Suppose 7 = 4*t - 0*t - u, 13 = 4*t - 3*u. Let d be (-4 - -6 - 2)/t. Solve d = -4*p - 19 - 1 for p. -5 Suppose 3*v + 555 = 567. Solve 2 + 1
{ "pile_set_name": "DM Mathematics" }
it of o? 2 Suppose b = -b + 154. Suppose 5*g = b - 7. What is the tens digit of g? 1 Let x = 26 - -9. What is the units digit of x? 5 Suppose -5*t = b + 4, -2*t + 2*b + 8 = -5*t. Suppose 5*r = -w + 4, w = -r - t*r + 4. Suppose -4*v - p = -24, 2*v + 3*p - 2 = -r*p. What is the units digit of v? 7 Suppose 111 = 5*s + 4*x - 6, 0 = 3*s - 5*x - 85. What is the units digit of s? 5 Let z(q) = q**3 - 2*q + 157. What is the tens digit of z(0)? 5 Let z = -3 - -6. Suppose 0 = -j + z*x + 16, 56 = 4*j + j - 3*x. What is the units digit of j? 0 Suppose 13*s = 3*s + 250. What is the units digit of s? 5 Suppose 2*r - 348 = v - 2*v, 4*r - 706 = 3*v. What is the hundreds digit of r? 1 Let n = 137 + -92. What is the tens digit of n? 4 Let v = -25 + 54. What is the units digit of v? 9 Let r = 6 - 3. Suppose r*u + 15 = 0, t = -3*t + 2*u + 634. What is the units digit of 6/9 - t/(-9)? 8 Let o(b) = 3*b**2 - 2*b + 28. What is the units digit of o(10)? 8 Suppose -13 = -t + 3*c, -c = 3*t + 2*c - 99. What is the tens digit of t? 2 Suppose -d + 116 = w, -3*w + 176 = -4*d + 675. What is the units digit of d? 1 Suppose 5*z + 6 + 4 = 0, -h - 4*z - 6 = 0. Let x be h/10 - (-9)/5. Let y = x - -14. What is the tens digit of y? 1 Let a = 9 + -5. Suppose 2*t - 2*b = 2, a - 9 = -3*t + 2*b. Suppose p = 4*u - 13, -1 = -t*p - 4. What is the units digit of u? 3 Let t be (60/(-9) - -4)*-9. Suppose 5*g = 51 + t. What is the units digit of g? 5 Let s(q) = q**3 - 2*q**2 - 20. What is the units digit of s(7)? 5 Let f(s) = -s - 12. Let q be f(-9). Let c be 3 - (-1)/(-2 - q). Suppose -5*p = -10*p - i + 20, c*i = 0. What is the units digit of p? 4 Let y(f) = -8*f - 33. What is the units digit of y(-6)? 5 Suppose -45 = -q + 2*t, -2*q = -0*q + 5*t - 72. What is the tens digit of q? 4 Let u = -18 - 13. What is the units digit of 0/(-2) - u/1? 1 Let o = 163 - 106. What is the units digit of o? 7 Let s(c) = -c + 2. Let w be s(0). Suppose 5*f + o = -w*o + 55, -f + o + 19 = 0. What is the units digit of f? 4 Let j(w) = -w**2 + 4*w - w**3 - 2*w - 4*w - 17 - 11*w**2. What is the units digit of j(-12)? 7 Let f(s) = -9*s**3. Let n be f(2). What is the tens digit of n/(-3)*3/4? 1 Let w(q) = q**2 - 3*q - 1. Let b be w(3). Let u = b + 3. What is the units digit of -3 - -2 - u*-5? 9 What is the units digit of (-5 + -4)/(-3) - 1? 2 Suppose 3*p - p = 292. What is the tens digit of p? 4 Suppose -3*b + 8*b = 0. Suppose 2*v = -b*v + i, -2*i = -3*v - 2. What is the units digit of 1/v + (-15)/(-6)? 3 Let g(c) = -14*c - 12. What is the units digit of g(-5)? 8 Let g(m) = 7*m + 11. Let f(h) = 10*h + 16. Let b(r) = 5*f(r) - 7*g(r). Let z be b(-4). What is the units digit of z*(-1 + -1) + 3? 5 What is the units digit of 2*18*1/4? 9 Let s(j) be the third derivative of -j**6/120 + j**5/12 + j**4/8 - 4*j**2. What is the tens digit of s(5)? 1 Suppose -k - 99 = -4*k. Let o = -63 + k. What is the units digit of (2/(-4))/(3/o)? 5 Suppose -5*t + t + 3*f - 48 = 0, -t - 19 = f. What is the units digit of (t/(-12))/((-2)/(-8))? 5 Let m be 848/28 + 2/(-7). Suppose -3*d = -m - 51. What is the units digit of (-6)/21 + d/21? 1 Let s(p) = 2*p**2 - 13*p + 10. What is the tens digit of s(8)? 3 What is the units digit of 20 + (-2)/(2/1)? 9 Let f = -69 + 84. What is the units digit of f? 5 Let b = 22 + -18. What is the units digit of b? 4 What is the hundreds digit of (-3 + 8/3)*-615? 2 Let d(n) = n - 6. Let i be d(6). Suppose m + i*m = 8. Suppose -m*l = -3*l - 30. What is the units digit of l? 6 Suppose -32 = -8*z + 7*z. What is the tens digit of z? 3 Let g = 106 + -46. Suppose 0*a = -4*a + g. What is the tens digit of a? 1 Suppose -11 + 0 = r - 4*g, -16 = -4*g. Let y be (-6)/4*(-4)/2. Suppose -n + y = -r. What is the units digit of n? 8 Let u = 108 + 37. What is the units digit of u? 5 Suppose s = -2*s + 102. What is the units digit of s? 4 Let z(r) = 7*r. Let a be z(1). Let d(h) = -5*h**3 + 6*h**2 + 2*h - a*h + 1 + 4*h**3. What is the units digit of d(5)? 1 Let t be (-2 - -1)/((-5)/95). Let h = t + -28. Let b = h - -27. What is the tens digit of b? 1 Let k(h) = -h - 6. Let s be k(-4). Let j(x) = 2*x + 20. Let q be j(-6). Let g = s + q. What is the units digit of g? 6 Suppose 11*l = 13*l - 4. Suppose -5*n = -n - 4. What is the units digit of (19 - l) + (n - 4)? 4 What is the units digit of 127 + (-10)/(-2) + -10? 2 Let q(m) = -m**3 - 12*m**2 - 10*m + 14. Let c be q(-11). Suppose -86 = -c*a - x + 6*x, 0 = -a - x + 18. What is the units digit of a? 2 Let x(v) be the third derivative of v**5/30 + v**4/4 - 4*v**3/3 - 4*v**2. Let y be x(-6). Let w = y + -11. What is the units digit of w? 7 What is the units digit of 3 + 3 + 15 - -4? 5 Let n = -11 + 17. Suppose -32 = 2*w - n*w. What is the units digit of w? 8 Suppose -3*f - f + 24 = 0. Suppose 3*z + f = 5*z. Suppose z*j + 0*j = 33. What is the tens digit of j? 1 Suppose 3*f - 9 - 30 = 0. Suppose -2*c - 8 + 27 = -3*z, 3*c + 24 = -3*z. Let a = z + f. What is the units digit of a? 6 Let r(b) = 17*b**2 + 4*b - 2. What is the units digit of r(1)? 9 Let u(b) = b**3 - 2*b**2 - b + 4. Suppose -6*q + 3*q = -9. Let l be u(q). Suppose p = -0*p + l. What is the units digit of p? 0 Suppose m + 1 + 0 = 0. Let j = 4 + m. What is the units digit of j? 3 Suppose -2*c - 5*m = -3, -3*m = 4*c + 5 - 32. Let w = 22 - c. What is the tens digit of w? 1 What is the units digit of (-30)/135 + 794/9? 8 Let v(k) = 16*k + 1. Suppose 5 = w + 2*i, -4*w - 2*i = 3*i - 11. Let b be v(w). What is the units digit of (-2 - b/6)*4? 2 Suppose 0 = -0*q + q - 16. Suppose -x + q = x. Suppose 0 = -d + 3*t + 6 - 3, -2*d + 5*t = -x. What is the units digit of d? 9 Let k = 9 - 8. Let j be (5 - 3)/(k - 0). What is the units digit of (-1 - 2)/(-3) + j? 3 Let x = -2 + 7. Suppose x*y - n - 21 = 0, 0*y + 4*n - 26 = -2*y. Let i = y - 3. What is the units digit of i? 2 Let x = -63 - -131. What is the units digit of x? 8 Let v(q) = -36*q + 28. What is the tens digit of v(-3)? 3 What is the tens digit of 95 - 13 - (-1 - -2)? 8 Suppose -a + 37 = 3*a - 3*u, 5*u = 5. Let c = a + 4. What is the tens digit of c? 1 Suppose 2*z = -4*t + 18, -3*t + t + 6 = -2*z. What is the units digit of z? 1 Let h(w) = -w**2 - 4*w + 6. Let g be h(-5). Let l = 3 - g. Suppose -1 + l = a. What is the units digit of a? 1 Let x(c) = -3 + 5*c**2 - 2*c**2 - 8*c - 4*c**2. Let b be (-86)/18 - 2/9. What is the units digit of x(b)? 2 Let x be 7 - 3/(-3 + 0). What is the units digit of (-1 - 2) + x*1? 5 Let s be (-5)/15 + 166/3. Suppose 35 + s = 2*d + 2*r, -d - 5*r + 33 = 0. Suppose 4*u - 4*x = d, -u = 4*x - 13 - 19. What is the tens digit of u? 1 Let n be (-1)/2 + (-37)/(-2). Let d(j) = j - 5. Let r be d(-5). Let u = n + r. What is the units digit of u? 8 Let z = 757 + -518. What is the units digit of z? 9 What is the tens digit of 20/6*486/36? 4 Let a(h) = 8*h + 4. Let p(l) = -7*l - 5. Let t(y) = 5*a(y) + 6*p(y). Let n be t(-8). Suppose 0*j - 3*j + n = 0. What is the units digit of j? 2 Let b = 71 - 27. What is the units digit of b? 4 Let m = -84 + 115. What is the tens digit of m? 3 What is the tens digit of (3 + -8 + 1)*-11? 4 Let k = 23 - 63. What is the tens digit of 504/10 - (-16)/k? 5 Let c(x) = -3*x - 20. What is the units digit of c(-8)? 4 Let z(u) = 8*u**2 + 2*u + 1. Let p be z(-1). Let c = 22 - p. Suppose 5*n - c = -o, -4*o + 2 = n - 1. What is the units digit of n? 3 Suppose -4*g = -3*g - 8. Let x = 15 - g. What is the units digit of x? 7 Let d = -3 + 12. What is the units digit of d? 9 Suppose 2*v - 4*h = 8, 5*v - 2*h + 3*h = 42. What is the units digit of v? 8 Let b = 4 + -1. What is the units digit of b? 3 Let n = -6 - -11. Suppose 2*w - n*w = -24. What is the units digit of w? 8 What is the units digit of 5/(20/8)*2? 4 Suppose -30*w = -28*w - 4. Suppose 3*d = -5 - 1. Let r = w - d. What is the units digit of r? 4 Let w = -2 - -1. Let p be 1*((-2 - w) + 1). Let q = 1 + p. What is the units digit of q? 1 Let v be ((-6)/(-6))/((-2)/(-14)). Let b be (-2 - -4)*(0 + -2). Let y = b + v. What is the units digit of y? 3 Let y be -1*(0 + -2) + -4. Let c = 1 - y. What is the units digit of c? 3 Let x = -24 + 71. What is the units digit of x? 7 Suppose 0*q + 4*q + 32 = 0. Let g = q - -15. What is the units digit of g? 7 Let h(p) be the third derivative of 0*p + 0 + 1/3*p
{ "pile_set_name": "DM Mathematics" }
next term in -2080, -2079, -2078, -2077? -2076 What is next in -191, -383, -575, -767? -959 What is the next term in -50, -99, -148, -197, -246? -295 What is next in 38, 76, 114, 152, 190? 228 What is the next term in -942, -943, -944, -945, -946? -947 What comes next: 369, 368, 367, 366? 365 What is the next term in -12, -4, 2, 6, 8, 8, 6? 2 What is next in -318, -337, -360, -387? -418 What is next in -146, -141, -134, -125, -114? -101 What is next in -117, -123, -141, -177, -237, -327, -453, -621? -837 What is the next term in 19, 39, 59? 79 What comes next: 268, 532, 786, 1024, 1240? 1428 What comes next: 3781, 3789, 3801, 3817, 3837, 3861? 3889 What comes next: 10, 28, 46, 64? 82 What is the next term in -2069, -4132, -6193, -8252, -10309? -12364 What is the next term in -1321, -1331, -1343, -1357, -1373, -1391, -1411? -1433 What is the next term in -143, -157, -171, -185? -199 What comes next: 2674, 5347, 8020, 10693, 13366? 16039 What comes next: -539, -1080, -1621, -2162, -2703? -3244 What is the next term in -179, -121, -61, 1, 65? 131 What is next in -29192, -29194, -29198, -29204, -29212, -29222? -29234 What comes next: -34, -46, -66, -94? -130 What is next in 144, 145, 146, 147? 148 What is next in -37, -143, -321, -571? -893 What is next in 69, 87, 93, 81, 45, -21? -123 What is next in -425, -852, -1281, -1712, -2145, -2580, -3017? -3456 What comes next: -732, -731, -718, -687, -632, -547, -426, -263? -52 What comes next: 19, 57, 97, 133, 159? 169 What is next in 778, 779, 780, 781, 782? 783 What is the next term in 1, 4, 11, 22, 37, 56, 79? 106 What is the next term in -216, -344, -564, -882, -1304, -1836, -2484, -3254? -4152 What is the next term in 25, 153, 367, 667, 1053, 1525, 2083? 2727 What is next in 125, 505, 1139, 2027? 3169 What comes next: 553, 1108, 1665, 2224? 2785 What is next in -14, -26, -42, -62, -86, -114? -146 What comes next: 15, 73, 131, 189, 247? 305 What comes next: -13, 12, 75, 194, 387? 672 What comes next: -121, -278, -435, -592, -749? -906 What is next in -19, 71, 165, 263, 365? 471 What comes next: -16736, -16737, -16738, -16739, -16740? -16741 What is the next term in 4016, 4015, 4014? 4013 What comes next: 193, 388, 585, 784, 985, 1188? 1393 What is the next term in 36, 60, 96, 150, 228? 336 What comes next: 167, 335, 503, 671, 839? 1007 What is the next term in 1241, 2495, 3757, 5033, 6329? 7651 What comes next: 20, 74, 164, 290? 452 What is the next term in -5107, -10194, -15267, -20320, -25347, -30342, -35299, -40212? -45075 What is the next term in -173, -174, -175, -176? -177 What is the next term in 1134, 2270, 3406, 4542? 5678 What comes next: 1655, 3336, 5017? 6698 What comes next: -497, -491, -499, -527, -581, -667, -791, -959? -1177 What is the next term in 25, 51, 75, 97, 117, 135? 151 What is the next term in -8, -161, -302, -425, -524? -593 What is next in -156, -313, -458, -585, -688, -761, -798, -793? -740 What is the next term in 1600, 1601, 1602, 1603, 1604, 1605? 1606 What is next in 31, 77, 123, 169, 215? 261 What is the next term in 283, 565, 847? 1129 What comes next: -5, 2, 25, 70, 143? 250 What is the next term in -6609, -6616, -6623? -6630 What is the next term in 367, 1483, 3343, 5947? 9295 What comes next: -142, -266, -390, -514, -638, -762? -886 What is next in -60, -61, -70, -93, -136, -205, -306? -445 What is next in 25, 89, 195, 343, 533, 765, 1039? 1355 What is the next term in 176, 350, 524? 698 What is next in -261, -297, -333, -369, -405? -441 What is the next term in -95, -194, -293, -392, -491? -590 What is the next term in 373, 365, 353, 337, 317, 293? 265 What comes next: 46, 285, 922, 2155, 4182, 7201? 11410 What is next in 57, 125, 199, 285, 389? 517 What comes next: 476, 473, 470, 467, 464, 461? 458 What is the next term in 7, -5, -17, -29? -41 What is the next term in -196, -194, -192? -190 What is the next term in -2093, -2090, -2093, -2108, -2141, -2198, -2285, -2408? -2573 What comes next: 1003, 2008, 3013, 4018? 5023 What comes next: -69, -125, -155, -147, -89, 31? 225 What is the next term in -46, -186, -420, -748, -1170, -1686? -2296 What comes next: 601, 1190, 1767, 2326, 2861, 3366, 3835? 4262 What comes next: -1475, -1476, -1477, -1478, -1479? -1480 What is next in 6, 62, 164, 312, 506? 746 What is next in -15, -39, -71, -117, -183? -275 What comes next: 1218, 2432, 3636, 4824, 5990, 7128? 8232 What is the next term in -26, -29, -26, -11, 22, 79, 166, 289? 454 What is next in -29, -63, -109, -173, -261, -379, -533, -729? -973 What is the next term in -75, -91, -123, -177, -259, -375? -531 What is the next term in -172, -175, -178, -181? -184 What comes next: -10, -18, -22, -22, -18? -10 What comes next: 132, 462, 1006, 1758, 2712? 3862 What is next in -23, -17, -9, 1, 13, 27, 43? 61 What is the next term in 6, 13, 16, 9, -14, -59? -132 What comes next: 3934, 3935, 3936, 3937, 3938? 3939 What is the next term in 44, 78, 100, 104, 84, 34, -52? -180 What comes next: 141, 129, 103, 57, -15, -119, -261, -447? -683 What is next in -81, -76, -67, -54, -37? -16 What is the next term in 23, 24, 27, 32? 39 What is the next term in 117, 167, 217, 267, 317? 367 What comes next: -23, 2, 31, 64, 101? 142 What comes next: 475, 447, 401, 337, 255, 155, 37? -99 What is the next term in 3107, 3106, 3105, 3104, 3103, 3102? 3101 What is the next term in -1668, -1678, -1698, -1734, -1792? -1878 What is the next term in -6, -41, -134, -315, -614? -1061 What comes next: 1130, 1131, 1132, 1133? 1134 What is the next term in -959, -1908, -2847, -3770, -4671? -5544 What is next in -17, 154, 607, 1480, 2911, 5038, 7999? 11932 What comes next: 108, 409, 912, 1617, 2524, 3633? 4944 What comes next: -4, -4, -6, -10, -16, -24, -34? -46 What is the next term in 65, 121, 179, 239, 301, 365? 431 What is the next term in -18, -17, -14, -9, -2, 7, 18? 31 What is the next term in -121, -134, -147? -160 What is the next term in -741, -1487, -2237, -2991, -3749, -4511, -5277? -6047 What is next in 67, 40, -11, -92, -209, -368? -575 What is next in -6244, -6245, -6246, -6247, -6248? -6249 What comes next: -167, -160, -149, -134, -115, -92? -65 What is the next term in -309, -307, -303, -297, -289? -279 What is the next term in -103, -403, -899, -1591, -2479? -3563 What is the next term in 370, 362, 354, 346, 338, 330? 322 What is the next term in 206, 686, 1480, 2582, 3986, 5686? 7676 What comes next: -44, -170, -380, -674? -1052 What comes next: -4, 3, 8, 11, 12, 11, 8? 3 What is the next term in 15, 27, 39, 51? 63 What comes next: 203, 180, 141, 86, 15, -72, -175? -294 What is next in 13316, 13314, 13312? 13310 What comes next: -27, 8, 59, 120, 185, 248, 303, 344? 365 What is next in 317, 315, 313, 311, 309? 307 What is next in 30, 39, 44, 57, 90, 155, 264? 429 What is next in 1171, 2356, 3541? 4726 What is the next term in 73, 304, 685, 1216, 1897, 2728? 3709 What is next in -110, -98, -86, -74, -62, -50? -38 What comes next: -703, -715, -725, -733, -739, -743, -745? -745 What is the next term in 1340, 2681, 4022? 5363 What comes next: -36346, -36347, -36348, -36349, -36350, -36351? -36352 What comes next: -143, -140, -137, -134? -131 What is next in -227, -240, -261, -290, -327, -372, -425? -486 What is next in -99, -333, -729, -1293, -2031, -2949, -4053? -5349 What comes next: 18, 111, 204, 297, 390, 483? 576 What comes next: -30, -53, -96, -165, -266? -405 What is the next term in 111, 68, 25, -18, -61, -104? -147 What is next in -25, -59, -103, -151, -197, -235, -259? -263 What comes next: -24, -47, -64, -69, -56, -19? 48 What is the next term in 233, 231, 229, 227, 225? 223 What is the next term in -1010, -1005, -998, -989? -978 What is next in -2332, -2334, -2336, -2338? -2340 What is next in -10, -16, -36, -82, -166? -300 What is the next term in -798, -822, -846, -870, -894? -918 What is the next term in 14, 32, 54, 80, 110, 144, 182? 224 What is the next term in 13, 233, 827, 1981, 3881? 6713 What comes next: -49, -191, -427, -757? -1181 What is next in -1238, -1237, -1236, -1235, -1234, -1233? -1232 What is next in 1697, 1700, 1705, 1712? 1721 What is the next term in -20, -61, -164, -359, -676? -1145 What is the next term in -17, -14, -11, -8, -5? -2 What is next in 54, 5
{ "pile_set_name": "DM Mathematics" }
+ 7, -4*m = 0. Let c be (-1934)/2*(18 + -33)/5. Suppose -c = -f*p - 377. Is p prime? True Let u be (-1)/(5/15) + (-1 - 5755). Let f = 2058 - u. Is f a prime number? True Suppose 7 = 5*r + 27, -2*r = -3*n + 9350. Suppose -2*l = 192 - n. Suppose -3*p + l + 102 = 0. Is p composite? False Let b(z) = -12*z - 7. Let n = 59 + -41. Suppose 0 = -s + 2, -4*o - 3*s - n = -2*s. Is b(o) composite? False Suppose -69 = -4*u - l, 0 = -l + 3 + 2. Suppose 7*g - 11*g + u = 0. Is 12575/35 + g/(-14) a prime number? True Let r = -141 + 96. Suppose 47*a - 44*a - 213 = 0. Let w = r + a. Is w prime? False Let m = 82156 - 23745. Is m a prime number? True Let z = -1705 - -2535. Let s be (z/3)/(2*(-3)/36). Is -4 + 3 - s/(4/2) a composite number? False Let j be (-5)/(-10)*(8962 - 6). Let m = 10815 - j. Is m prime? True Let p = -118 + 104. Let j = 34 + p. Suppose j = -5*i, 0*u - 5*i + 2406 = 2*u. Is u a prime number? True Suppose -30299022 = -1014*g + 852*g. Is g composite? True Let b(a) = -43*a - 1. Let i be b(1). Let l = i - -53. Is 2/(1*6/l) composite? False Let v = 76235 + -54450. Is v composite? True Let x(t) = 3*t - 63. Let n be x(22). Suppose -65343 = -n*o + 22026. Is o prime? True Suppose -27 = 2*j + 3*j - d, 18 = -4*j - d. Let p(l) = -l**2 - 5*l - 3. Let f be p(j). Is (231/6)/(f/(-6)) composite? True Suppose 4*i + 25 = -i, 1285 = 5*j - 4*i. Let n = j - -330. Is n a prime number? False Let n = 44452 + -15723. Is n composite? False Let p = -9 + 9. Suppose -2*q + p*q - 12210 = -4*r, r - 2*q - 3057 = 0. Suppose -l = 5*w - 0*l - r, -3*l + 599 = w. Is w a prime number? False Let t = -280 + 278. Is 1/t*-2*18959 a composite number? False Is (-110546)/(-5) - ((-1276)/(-55) - 23) a prime number? True Let n = 140748 + -87221. Is n a composite number? False Let f = 137 - 199. Let d = f + 65. Is 839*(-2 + d) - 0 prime? True Suppose 932 + 5433 = 5*z. Is z a composite number? True Suppose -y - 10 = c - 16, -20 = -5*y. Suppose -9*l + 10*l = 2*m + 32089, 0 = 5*l + c*m - 160409. Is l a composite number? False Let f = 105 - 96. Suppose 0 = 10*o - f*o - 3. Suppose -o*j = -2*j - 1043. Is j a prime number? False Let c(n) = 72*n**2 + n + 16. Is c(13) a prime number? True Suppose 3*o + 3*a = 13493 + 15811, -9773 = -o - 2*a. Is o prime? False Suppose -21*c + 5297577 = -4439004 + 3736062. Is c prime? False Is (-2 - -1)/(104/(-5315336)) prime? True Let z = 26 + -22. Suppose z*a + 19 = 1147. Suppose 8*u - 2*u = a. Is u prime? True Suppose 2*i - 2 = -0. Let s = 547 - 547. Is 594/11 + (s - i) prime? True Suppose 23*m = 37*m - 56. Is ((-238732)/(-39))/(m/6) prime? False Let c = 1932 + -942. Suppose -3*m = -3*i - c, m - 3*m - 3*i = -665. Is m composite? False Let f(t) = 2099*t**2 - 18*t - 760. Is f(-11) composite? False Suppose -262744 - 16561 = -2*x + o, 4*x = -3*o + 558595. Is x composite? True Let l be 1 + 61/(-3)*-3. Let i be 1 + l*(-115)/(-10). Let q = -463 + i. Is q composite? False Suppose -4*w + 4 = -0, 3*r = -2*w + 377. Suppose 120*s = r*s - 68725. Is s a prime number? False Let n(m) = m**3 - 2*m + 157. Let x(d) = 2*d**3 + 2*d**2 + 2*d. Let u be x(-1). Let g = -2 - u. Is n(g) a composite number? False Let s be (0 - 2)/2 + -13 + 32. Suppose s*d - 7 = -25. Is (d + 0)*(-2)/(-4)*-8098 a prime number? True Let q(h) = 14*h**2 - 23*h - 139. Let v be 3/(42/(-172)) - 246/(-861). Is q(v) prime? True Suppose -4*z = -3*z - 2. Suppose -6176 = -2*n - z*x, 12*n - 13*n = -3*x - 3092. Is n a prime number? True Suppose 0 = 2*l + 4*q - 849158, 1958526 - 260200 = 4*l - 2*q. Suppose 2*d - 2*f - 141536 = 0, 6*d + 0*d + 3*f = l. Is d a prime number? False Suppose 13*d + 239128 = 14*d + 3*a, 4*a - 478250 = -2*d. Is d a composite number? False Let d = 3417 - 573. Let t = -997 + d. Is t composite? False Suppose -5*v + c + 421568 = 0, c - 44305 = -v + 40005. Is v composite? False Let u(s) = -287*s + 58 - 58. Let i be u(-6). Suppose -4*l = -i - 1082. Is l a prime number? True Is 2/(-9) + (1/18)/((-3)/(-34599594)) a prime number? True Suppose 4*o = -2*k - k + 26, 3*k - 24 = -3*o. Suppose 0*g - k = -3*g. Suppose p - 3*j = 863, j = -p - g*p + 2549. Is p a composite number? True Let a = 635507 + -86250. Is a prime? True Suppose -163774 = -2*z + 3*h, -5*h + 8*h = 4*z - 327560. Is z a prime number? False Suppose -452*j - 70*j + 13500655 = -140295683. Is j a composite number? False Let q(j) = j**2 - 2*j + 3. Let s be q(1). Suppose -12088 = -4*a - 4*o, -3*a - 3*o + 15104 = s*a. Is a a prime number? True Let o(n) = n**2 + 4*n - 11. Let s be o(-7). Suppose z - s*z + 3591 = 0. Let a = 738 - z. Is a prime? False Suppose -5*f + 0*f = 0, 2*l - f = 66. Suppose -l*r = -11*r - 123706. Is r prime? True Suppose 51921 = -15*v + 173308 + 259028. Is v a prime number? False Suppose 7*m - 40 = -3*m. Suppose m*l = -3*d + 4, d = -d - 2*l + 2. Suppose 2*o - 5*g - 123 = d, o + g - 3*g = 63. Is o prime? False Let c(t) = 102*t**2 + 41*t - 73825 + 73854 - 11*t**2. Is c(-10) composite? False Is 330498 - -1 - 16*(-280)/448 prime? True Is (-196742 - 197)*(0 - 1) a prime number? False Let y = 22 + -21. Is (3596 - 1)/1 + 0/y a prime number? False Let j = 12914 + -5243. Is j a composite number? True Suppose h - 7198 = -3*v, 3*h - 17192 = -3*v + 4378. Suppose -3*i - r = -i - h, 4*i - r = 14372. Is i composite? False Suppose i - 4*h + 30 = 3*i, -4*h = 3*i - 39. Suppose -i*v = -15227 + 3680. Is v a composite number? False Let z(j) = -6088*j + 7. Let d be ((-4)/6)/(30/180). Is z(d) a composite number? False Suppose 5*g + k - 218283 = 77158, -4*g + 3*k + 236368 = 0. Is g a prime number? False Let z(u) = 11778*u + 1363. Is z(5) a composite number? True Let w be -5 - -1*(6 - 3). Let j(g) be the first derivative of 9*g**3 + 3*g**2/2 + g + 4. Is j(w) a composite number? False Let q(m) = -1 - 102*m + 0 - 18. Suppose -19*s = 105 + 47. Is q(s) composite? False Let x = 228660 - -141013. Is x a prime number? True Suppose 0 = 3*j + 4*t - 0*t - 5, 3*t + 5 = -4*j. Is 78/(-130) + (-30338)/j composite? False Let v be (-5)/(30/4)*3/(-1). Suppose 0 = v*a + 4, -z = a - 12871. Suppose 2*n - 3245 = z. Is n a composite number? False Let f(j) = -113450*j - 4743. Is f(-4) composite? True Let q(z) = -z + 9. Let u be q(-5). Let h be -2 + u/35 + (-14776)/(-10). Let y = h - 1029. Is y a composite number? True Let g(q) = -4*q**3 + 2*q - 1. Let j = -134 + 126. Let p be g(j). Is (p*(-5)/75)/((-1)/5) composite? False Suppose -5*r - 2*a = -5 - 11, 5*a = r - 14. Suppose -9*k + 5 = -r*k. Is 1/k + 1 + (-5028)/(-4) composite? False Suppose 34243032 - 15792877 = 166*d - 26089139. Is d prime? False Let o(p) = 8*p**3 + p**2 + 12*p - 35. Let d(m) = -4*m**3 - 5*m + 16. Let r(x) = 9*d(x) + 4*o(x). Let z = 3 - 6. Is r(z) prime? True Let z be (32/24)/(2/9). Suppose -z*p = -2*p, -3*p - 3 = -n. Suppose j - 2*g - g = 646, 15 = -n*g. Is j a composite number? False Suppose 2 = 6*g - 10. Suppose -9*t - g*x = -13*t + 3788, -2*x = 2*t - 1906. Is t a prime number? False Let m(h) = -73093*h**3 - 55*h - 113. Is m(-2) prime? False Let w(s) = s**3 + 12*s + 36293. Is w(0) a composite number? False Suppose -9122237 = -3*l + 4*w, 15*l - 4*w = 11*l + 12162972. Is l composite? True Let k(l) = -816*l + 461. Is k(-38) prime? True Let j be ((-5)/(20/149944))/(-6 - -4). Let g = j - 10089. Is g prime? False Suppose 62 - 3718 = -4*f. Suppose -3*p - 4556 = 5*q - 6*p, 2*p = q + f. Let m = q + 1483. Is m composite? True Suppose 4*u + 5*t = 60222, -17*t + 6 = -14*t. Is u composite? False Let y(o) = -572*o**3 + 2*o**2 - 6*o. Let l be y(2). Let r = l - -7617. Is r a composite number? False Let s = 191920 - -2867047. Is s prime? False Let o = -4797 + 16858. Let m = 25924 - o. Is m a prime number? False Let n(j) = 32*j**3 - 5*j**2 - 15*j - 22. Let l be n(-5). Let u = l - -6651. Is u a composite number? False Suppose -468*n + 85379 = y - 470*n, -3*y = 4*n - 256047. Is y prime? True Let i = -552731 + 1257714. Is i composite? False Suppose -13*o = -18*o + 70. Suppose -3*b = -10*b + o. Suppose 3*r - 2282 = -2*n - b*r, 4*r = -16. Is n a composite number? False Suppose 19*t - 22*t = -3*x + 303792, -5*t = -15. Is x prime? True Suppose -6762 = -2*m + 3850. Let d = -3723 + m. Is d prime? True Suppose 0 = 25*g - 75*g - 33*g + 18172103. Is g a composite number? False Let w(a) = -5097*a + 324. Let o be w(-38). Is 33/77 + o/21 a prime n
{ "pile_set_name": "DM Mathematics" }