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5, 1/2, 0.1, -0.3, -4/9 Sort -750, -2, 4 in decreasing order. 4, -2, -750 Sort -3, 5, -1, -15 in increasing order. -15, -3, -1, 5 Sort 22, -7, 3, -2, -0.2 in descending order. 22, 3, -0.2, -2, -7 Sort -84, -1, -4, 1, -5. -84, -5, -4, -1, 1 Put 3, 30, -5, -2, 20 in increasing order. -5, -2, 3, 20, 30 Sort -5, -25, 6 in increasing order. -25, -5, 6 Sort -3, -386, 0. -386, -3, 0 Sort 4, -4/3, 39, 12 in ascending order. -4/3, 4, 12, 39 Put -3, 3, 9, -5 in ascending order. -5, -3, 3, 9 Sort 5, -1, -84, 1, -5 in decreasing order. 5, 1, -1, -5, -84 Sort 599, 0, 3, -1, 4 in descending order. 599, 4, 3, 0, -1 Sort -2/15, 1, -1/9, 1/6. -2/15, -1/9, 1/6, 1 Put -0.1, 8, -0.2, 1/14 in descending order. 8, 1/14, -0.1, -0.2 Sort 1, -1, -8, 18 in descending order. 18, 1, -1, -8 Sort 8, -3/5, 11. -3/5, 8, 11 Put 0, 21/5, 0.1, -3/8, 1 in decreasing order. 21/5, 1, 0.1, 0, -3/8 Sort -5, -4, 7, 4. -5, -4, 4, 7 Put -2, -119, -1/4 in decreasing order. -1/4, -2, -119 Sort -5, 0, 0.18. -5, 0, 0.18 Sort -5, -8/5, -0.82. -5, -8/5, -0.82 Sort 3, 2, -4, -6, 10 in descending order. 10, 3, 2, -4, -6 Sort 3, -7, -2, 2, 5 in increasing order. -7, -2, 2, 3, 5 Sort 2, 1, 33, -4. -4, 1, 2, 33 Sort 107, -5, 5 in decreasing order. 107, 5, -5 Put 2/11, 3/10, -5, 0 in increasing order. -5, 0, 2/11, 3/10 Sort 112, 1, 1/4 in descending order. 112, 1, 1/4 Sort -107, -5, -4, 4 in descending order. 4, -4, -5, -107 Sort -3, 4, 5, 37, -1 in ascending order. -3, -1, 4, 5, 37 Sort 1/2, -2, -0.15, 8 in descending order. 8, 1/2, -0.15, -2 Sort -1, 1, -26, 5, -3 in decreasing order. 5, 1, -1, -3, -26 Sort 2, 0, 5, -48, -3 in increasing order. -48, -3, 0, 2, 5 Sort -4, -2/153, -0.2 in descending order. -2/153, -0.2, -4 Put -2/25, -1/10, 4, 0 in increasing order. -1/10, -2/25, 0, 4 Sort 4, -1233, -3, 2. -1233, -3, 2, 4 Sort 1, -0.07, -5 in increasing order. -5, -0.07, 1 Put -59, 0, -1/14, 3, -1 in decreasing order. 3, 0, -1/14, -1, -59 Sort -1/4, -4, 0.4, -973 in decreasing order. 0.4, -1/4, -4, -973 Sort 4, -12, -5, 5 in descending order. 5, 4, -5, -12 Put 28, 0.4, -1/6, -117, -4 in descending order. 28, 0.4, -1/6, -4, -117 Put -24, -2, -4 in descending order. -2, -4, -24 Put -2, 5, 148, 1 in descending order. 148, 5, 1, -2 Put -4, -11, 1, -1 in decreasing order. 1, -1, -4, -11 Put -5, -6/7, -0.18, 11, 2 in descending order. 11, 2, -0.18, -6/7, -5 Put -117/8, -0.4, -5 in decreasing order. -0.4, -5, -117/8 Sort 0, 15, -65, 2, -2 in decreasing order. 15, 2, 0, -2, -65 Sort 32, -4, 10, 5, 3. -4, 3, 5, 10, 32 Sort -4, -6, 1, -5. -6, -5, -4, 1 Sort -3/2, 3, 4/7, 5/4. -3/2, 4/7, 5/4, 3 Put 0.3, -0.05, -0.4 in decreasing order. 0.3, -0.05, -0.4 Sort -2, -0.76, 5/7, 0.1 in decreasing order. 5/7, 0.1, -0.76, -2 Put 2, 0, 7, 1 in decreasing order. 7, 2, 1, 0 Sort -6, -34, 4, -5. -34, -6, -5, 4 Put -1, -5, 31, 1, -7/6 in descending order. 31, 1, -1, -7/6, -5 Sort 19, -3, 6 in increasing order. -3, 6, 19 Put 16, 2, 3 in descending order. 16, 3, 2 Sort 2/11, 0, -2, 28, 1 in decreasing order. 28, 1, 2/11, 0, -2 Put 4, -8, -2, -3 in increasing order. -8, -3, -2, 4 Sort 18, -3, 0 in decreasing order. 18, 0, -3 Sort -0.1, 5, -25, 2/13, 2 in decreasing order. 5, 2, 2/13, -0.1, -25 Put 0.45, 0, -3/2 in increasing order. -3/2, 0, 0.45 Put 1, 3/5, 5, -2/5, -0.1 in descending order. 5, 1, 3/5, -0.1, -2/5 Sort 56, -4, -1, -2, 0 in increasing order. -4, -2, -1, 0, 56 Sort 5, -204, -2 in ascending order. -204, -2, 5 Put -2, -101, 1 in ascending order. -101, -2, 1 Sort 22, -2, 4, -3, 1 in descending order. 22, 4, 1, -2, -3 Sort -0.051, 1/5, -15 in increasing order. -15, -0.051, 1/5 Put 0.08, -0.3, 0.2, -0.4 in descending order. 0.2, 0.08, -0.3, -0.4 Sort 1, 0.4, 7 in descending order. 7, 1, 0.4 Sort 0.1, -2/25, 3 in decreasing order. 3, 0.1, -2/25 Put 209, -4, 5, 4, 14 in descending order. 209, 14, 5, 4, -4 Put 0, 13, -3, 6 in descending order. 13, 6, 0, -3 Put 3, 32, -3, -2 in ascending order. -3, -2, 3, 32 Put -2, -0.5, -2/5, 4 in ascending order. -2, -0.5, -2/5, 4 Put 5, 1/6, 0.04 in decreasing order. 5, 1/6, 0.04 Put 0.05, -0.3, 1, -0.4, -37 in decreasing order. 1, 0.05, -0.3, -0.4, -37 Put -2, 1, -5, -7 in descending order. 1, -2, -5, -7 Sort 4, -3, 422. -3, 4, 422 Sort 4, -34, 0 in descending order. 4, 0, -34 Put 2, 0, -13 in ascending order. -13, 0, 2 Sort 1, 4, 166 in descending order. 166, 4, 1 Sort 1, -4, -13 in decreasing order. 1, -4, -13 Sort -1.5, 2/17, 1 in decreasing order. 1, 2/17, -1.5 Sort 2/55, -0.3, -0.25, 0. -0.3, -0.25, 0, 2/55 Put -4, -15, -3, 64 in decreasing order. 64, -3, -4, -15 Sort -1, 0, 1/8, -2/7, -0.3 in ascending order. -1, -0.3, -2/7, 0, 1/8 Put -1, 5, -8 in ascending order. -8, -1, 5 Put -2, 2, 1, -1, 29 in ascending order. -2, -1, 1, 2, 29 Sort 0.2, -6, -3 in descending order. 0.2, -3, -6 Sort 5, 41, 2, -12, -2 in descending order. 41, 5, 2, -2, -12 Put 128, 2/5, -4 in descending order. 128, 2/5, -4 Sort -3, -5, -2, 10, 0 in decreasing order. 10, 0, -2, -3, -5 Sort -1/15, -4, -169 in increasing order. -169, -4, -1/15 Put -5, 0, 1 in descending order. 1, 0, -5 Sort 4, 3, -73, 27 in descending order. 27, 4, 3, -73 Put -4, -3, 63, -9 in ascending order. -9, -4, -3, 63 Put -0.1, -1.24, -1, 2 in ascending order. -1.24, -1, -0.1, 2 Sort 0.07, 2, 0 in decreasing order. 2, 0.07, 0 Sort 0, -7, 4, -15. -15, -7, 0, 4 Put 0, -4, -104, 3, -5 in decreasing order. 3, 0, -4, -5, -104 Sort -1, 173, -0.1, 0.07. -1, -0.1, 0.07, 173 Sort 39, -4, -5, 4 in increasing order. -5, -4, 4, 39 Sort -4, 2/3, 9/19. -4, 9/19, 2/3 Sort -9, -39, 2. -39, -9, 2 Put 0.03, 2, 53, -4 in descending order. 53, 2, 0.03, -4 Put 3/5, 42, 3, 1/2, -19 in descending order. 42, 3, 3/5, 1/2, -19 Put 1/9, -252, 3 in descending order. 3, 1/9, -252 Put 5, -3.3, -1/9 in descending order. 5, -1/9, -3.3 Sort -5, -6, 2/3, -2/7 in decreasing order. 2/3, -2/7, -5, -6 Sort -1/8, -3, -14. -14, -3, -1/8 Put 1, 4, -3, -5 in decreasing order. 4, 1, -3, -5 Sort -8, -3, 2, -4 in ascending order. -8, -4, -3, 2 Sort -6, -1, -5, 2, 65 in descending order. 65, 2, -1, -5, -6 Put 0.4, 196/3, -4/7, -3, 0.3 in decreasing order. 196/3, 0.4, 0.3, -4/7, -3 Put -5, 2/67, -2/7 in descending order. 2/67, -2/7, -5 Sort -27/88, 4, 0.7, -1. -1, -27/88, 0.7, 4 Sort -5, 0, -3, 113 in decreasing order. 113, 0, -3, -5 Put -4, -5, -8 in increasing order. -8, -5, -4 Put 4, 1, 3, 2, 6/25 in decreasing order. 4, 3, 2, 1, 6/25 Put 4, -198, -1/4, 1 in decreasing order. 4, 1, -1/4, -198 Put -1, 4, -18, -4 in descending order. 4, -1, -4, -18 Put 355, -5, 3 in ascending order. -5, 3, 355 Put -1, -0.86, 9, 4 in descending order. 9, 4, -0.86, -1 Sort -1/17, -5, -0.1, -0.06, -13. -13, -5, -0.1, -0.06, -1/17 Sort -1, -3, -438 in decreasing order. -1, -3, -438 Sort 0.1, -2, -5, -2/21 in decreasing order. 0.1, -2/21, -2, -5 Sort 51, 3, -5. -5, 3, 51 Sort -2, -23, -14 in ascending order. -23, -14, -2 Put 0.4, -62, -1, 3/4 in descending order. 3/4, 0.4, -1, -62 Put -7, -10, -3/5, -5 in decreasing order. -3/5, -5, -7, -10 Put -0.1, -29/4, -0.7 in decreasing order. -0.1, -0.7, -29/4 Sort 1, 20, 2 in ascending order. 1, 2, 20 Put -3, 11, 2/5, 5, 1 in ascending order. -3, 2/5, 1, 5, 11 Put 7, -3, 1/11 in ascending order. -3, 1/11, 7 Put -9, -17, 4 in ascending order. -17, -9, 4 Sort -7, -0.2, 10, -0.5 in descending order. 10, -0.2, -0.5, -7 Put -5, 9, 5, 100 in increasing order. -5, 5, 9, 100 Put 3, 217, -2, -5 in decreasing order. 217, 3, -2, -5 Put -4, -273, 1, 4 in ascending order. -273, -4, 1, 4 Sort -4, -15, -5. -15, -5, -4 Sort 5, 51.4, 2/13. 2/13, 5, 51.4 Put -9, 3, -5, 4 in descending order. 4, 3, -5, -9 Put 8, -4, 3, -5, -49 in decreasing order. 8, 3, -4, -5, -49 Put 0.2, -0.1, 0.1, -12 in increasing order. -12, -0.1, 0.1, 0.2 Sort 0, 2, 38 in decreasing order. 38, 2, 0 Put -4, -12, 4, 5 in decreasing order. 5, 4, -4, -12 Sort 4, -5, -12, -3 in ascending order. -12, -5, -3, 4 Put 1, 19, -45, -0.2 in decreasing order. 19, 1, -0.2, -45 Sort -5, -0.094, 1/5 in ascending order. -5, -0.094, 1/5 Sort 0.12, 0, -5, -1 in increasing order. -5, -1, 0, 0.12 Put 1, -3, 5.5, 0.1, 4 in decreasing order. 5.5, 4, 1, 0.1, -3 Put -1/27, 2.9, 3 in descending order. 3, 2.9, -1/27 Put -0.2, -1, -0.033, 0.5 in decreasing order. 0.5, -0.033, -0.2, -1 Sort -2/15, 379, 1, -0.5, -1 in increasing ord
{ "pile_set_name": "DM Mathematics" }
+ 1200*n + n**3 + 1201*n. n**3 Collect the terms in -2424*w**2 - 378*w**2 + 347*w**2 - 414*w**2. -2869*w**2 Collect the terms in 17694*i - 63370 + 63370. 17694*i Collect the terms in 7*n + 39*n - 24*n + 12*n. 34*n Collect the terms in 11*i**2 + 86059 - 15*i - 86059. 11*i**2 - 15*i Collect the terms in -341*q - 364*q + 709*q. 4*q Collect the terms in -501 + 501 - 205*v + 867*v + 598*v. 1260*v Collect the terms in -232 - 154*j**3 + 1378 + 633. -154*j**3 + 1779 Collect the terms in -7*j**2 - 11*j**2 + 1681*j - 3326*j + 1645*j. -18*j**2 Collect the terms in -11 + 315688*f - 2*f**2 + 315688*f - 631376*f. -2*f**2 - 11 Collect the terms in 536*k + 505*k + 505*k - 2057*k + 505*k. -6*k Collect the terms in -2106*x - 2130*x - 2107*x + 6373*x. 30*x Collect the terms in -32*u**2 - 30*u**2 - 14*u**2 - 40*u**2 - 31*u**2 + 185*u**2. 38*u**2 Collect the terms in -2208*o - 1 + 4416*o - 2206*o + 1. 2*o Collect the terms in -237*n + 83*n + 339*n. 185*n Collect the terms in -10898 - 9*k**2 + 5439 + 5459. -9*k**2 Collect the terms in 6*x**2 + 857 + x**2 + 265. 7*x**2 + 1122 Collect the terms in -183*q + 13 + 12 - 25. -183*q Collect the terms in -1523*o**3 + 723*o**3 + 884*o**3. 84*o**3 Collect the terms in 96692768*n**3 + 2 - 96692766*n**3 - 2. 2*n**3 Collect the terms in 3357*z - 449 - 455 + 904. 3357*z Collect the terms in -2*g**3 - 24*g**2 + 10*g**2 + g**3 + 3*g**2 - 9*g. -g**3 - 11*g**2 - 9*g Collect the terms in g - g + 10*g - 8*g + 0*g. 2*g Collect the terms in 3*d**2 - 3*d**2 - 19*d**2 - 9*d**2. -28*d**2 Collect the terms in 4*r**2 + 4*r**2 + r**3 - 40*r**3 - 9*r**2 + 0*r**2. -39*r**3 - r**2 Collect the terms in 9*n**3 - 4 - 2 - 7 + 14*n**3. 23*n**3 - 13 Collect the terms in 0 + 3 - 1471*v**2 - 1249*v**2 - 3. -2720*v**2 Collect the terms in 609*o**2 - 30*o**2 - 585*o**2. -6*o**2 Collect the terms in 3*g**2 - g**2 + 0*g**2 + 0*g**2 - 2 - 17. 2*g**2 - 19 Collect the terms in 6 - 67*q**3 - 58*q**3 + 2. -125*q**3 + 8 Collect the terms in 11*h**3 + 6*h**3 - 6685616*h**2 + 7*h**3 + 6685616*h**2. 24*h**3 Collect the terms in 6 + 94*v**2 - 6 + 80*v**2 + 339*v**2. 513*v**2 Collect the terms in 732*y - 17*y + 1734*y. 2449*y Collect the terms in -3070*t**3 + 3069*t**3 - 61*t + 123*t - 62*t. -t**3 Collect the terms in 4 - 12 + 38*n + 25*n - 82*n + 25*n. 6*n - 8 Collect the terms in 3*x + 0*x + 7*x + 7*x - 5*x. 12*x Collect the terms in -56874*y**2 + 56874*y**2 + 9*y**3 + y**3 + 23*y**3. 33*y**3 Collect the terms in 156*j**2 - 8*j + 57*j**2 - 37*j**2 + 8*j. 176*j**2 Collect the terms in 101*i - 13*i - 15*i - 75*i. -2*i Collect the terms in 33*u**3 + 302 + 7*u - 594 + 292. 33*u**3 + 7*u Collect the terms in 4321*w - 179 + 179. 4321*w Collect the terms in -155*y**3 - 6538455*y**2 + 6538455*y**2. -155*y**3 Collect the terms in 71*n**2 - 118*n**2 + 478*n**2 + 1212*n**2. 1643*n**2 Collect the terms in 6293903*k - 12587800*k + 6293900*k. 3*k Collect the terms in -5*n - 13 + 13 + 318*n**3 + 4*n. 318*n**3 - n Collect the terms in 1905780 + 4*a**3 - 1905780. 4*a**3 Collect the terms in -o + 4*o - 4*o + 4 - 2. -o + 2 Collect the terms in -3*i + 13 - 195 + 182 - i. -4*i Collect the terms in 82940*q + 82948*q + 12*q**2 - 248834*q + 82946*q. 12*q**2 Collect the terms in -4083082522 + 2*j**2 + 4083082522. 2*j**2 Collect the terms in -11*q**2 - 145*q**2 + 3 + 0*q + q. -156*q**2 + q + 3 Collect the terms in -33 + 13*g - 6 - 13*g - 6*g. -6*g - 39 Collect the terms in 41*p**3 - 1008536*p**2 + 1008536*p**2. 41*p**3 Collect the terms in -12*i**3 + 13*i**3 + 21*i**3 + 13*i**3. 35*i**3 Collect the terms in 5 - 20 + 61 - 16 + 2*c**2 + 20. 2*c**2 + 50 Collect the terms in -101*s + 101*s - 62808*s**3. -62808*s**3 Collect the terms in 51*y**3 - 28*y**3 + 49*y**3 + 6*y. 72*y**3 + 6*y Collect the terms in 298*b - 171 + 171. 298*b Collect the terms in -12*a**2 - 4*a**2 + 48*a**2 + 45*a**2. 77*a**2 Collect the terms in 2 + 26*p - 16 + 0*p - 1. 26*p - 15 Collect the terms in 0 + 0 + 85*d**2 - 76*d**2 - 7*d**2. 2*d**2 Collect the terms in -562*i**2 + i - 560*i**2 + 1124*i**2. 2*i**2 + i Collect the terms in -11 - 20 + 54 - 22 + 38*i**2. 38*i**2 + 1 Collect the terms in 69145*c**3 + 26701*c**3 + 75649*c**3 - 1990*c**3. 169505*c**3 Collect the terms in 510345*c - 60036*c + 218600*c. 668909*c Collect the terms in -416673*c + 833350*c - 5*c**3 - 416677*c. -5*c**3 Collect the terms in 953*t + 3*t**3 - 2010*t + 1057*t. 3*t**3 Collect the terms in 2134*y + 100 - 100. 2134*y Collect the terms in 421075*q - 421075*q + 2*q**2. 2*q**2 Collect the terms in -7*a - 4648*a**3 - 18*a + 4634*a**3. -14*a**3 - 25*a Collect the terms in -78 + 19 - 7*u + 22 + 24 + 13. -7*u Collect the terms in 1016*v - 38*v**3 - 1016*v. -38*v**3 Collect the terms in 70*w + 6 + w**3 - 7*w + 39*w - 4*w**3. -3*w**3 + 102*w + 6 Collect the terms in -86*x**3 - 3*x**2 + x**2 - 357*x**3. -443*x**3 - 2*x**2 Collect the terms in 97 + 9*i**3 - 22 - 4*i**3 - 72. 5*i**3 + 3 Collect the terms in -1577*d**3 + 3154*d**3 - 1578*d**3. -d**3 Collect the terms in -52259*f**2 - 22*f + 12*f + 10*f. -52259*f**2 Collect the terms in 36 - 19 - 20 - 96*t. -96*t - 3 Collect the terms in -2*t**3 + 206577034691*t**2 - 206577034691*t**2. -2*t**3 Collect the terms in 4*f**2 + 145*f + 156*f + 161*f - 462*f. 4*f**2 Collect the terms in 21017 + 21045 - 3*v - 42062. -3*v Collect the terms in 4*t**2 - 1840105403 + 1840105403. 4*t**2 Collect the terms in 381*a**2 - a + 448*a**2 + a. 829*a**2 Collect the terms in 148*b**2 - 75*b**2 - 71*b**2 + 4 + 1. 2*b**2 + 5 Collect the terms in 1782*d**3 + 8*d**2 + 1004*d**3 - 8*d**2. 2786*d**3 Collect the terms in -3 - 341*n + 336*n + 5. -5*n + 2 Collect the terms in 291*x**2 + 73*x**2 - 181*x**2 - 181*x**2. 2*x**2 Collect the terms in -293606*b**2 + 293606*b**2 - 2*b**3. -2*b**3 Collect the terms in 1773*i**3 - 3505*i**3 + 1752*i**3. 20*i**3 Collect the terms in 50769 + 76*h - 389*h - 287*h - 50769. -600*h Collect the terms in -5 + 9*q + 36*q - 86*q + 5 + 34*q. -7*q Collect the terms in 1746 - 6*x**3 - 1041*x**2 - 9*x**3 + 1041*x**2 - 1746. -15*x**3 Collect the terms in 1429*b - 680*b - 746*b. 3*b Collect the terms in -168 + 82 + 85 + 11*h. 11*h - 1 Collect the terms in -10*m + 80 + 4*m + m + 6*m + 159. m + 239 Collect the terms in -1130*s + 5 - 23*s**3 + 1130*s. -23*s**3 + 5 Collect the terms in r - 11*r + 9*r**3 - 2*r - 2*r + 14*r. 9*r**3 Collect the terms in 96*r**2 - 8*r**2 - 3*r**2. 85*r**2 Collect the terms in -4*z - 617 - 3*z + 616 + 3*z + 0*z. -4*z - 1 Collect the terms in -6428516*r + 6428516*r + 7*r**3. 7*r**3 Collect the terms in 12*v**2 - 940*v - 927*v + 1867*v. 12*v**2 Collect the terms in -14*p**3 + 2*p**3 + 22 - 31 + 9. -12*p**3 Collect the terms in 1 - 10 - 482*c + 11. -482*c + 2 Collect the terms in 8 - 148*x**2 - 9*x - 8 + 145*x**2. -3*x**2 - 9*x Collect the terms in 4*n - 106 - 22*n**2 + 112 - 13*n**2. -35*n**2 + 4*n + 6 Collect the terms in 18*z**2 - 11*z**2 - 6*z**2 + 26*z**2 - 14*z**2 - 16*z**2. -3*z**2 Collect the terms in -65*w**2 + 15 + 155*w**2 - 117*w**2. -27*w**2 + 15 Collect the terms in -9*o - 127*o - 211*o. -347*o Collect the terms in -90*p**2 + 250*p**2 + 363*p**2. 523*p**2 Collect the terms in 40426*r + 5*r**2 - 40426*r. 5*r**2 Collect the terms in 320474170*d - 320474170*d + 19*d**2. 19*d**2 Collect the terms in -2*s + 1 - 52*s + 15*s + 1 + 15*s. -24*s + 2 Collect the terms in -1262*k**3 + 732*k**3 + 515*k**3. -15*k**3 Collect the terms in 20*g - 43*g**3 + 44*g**3 + 16*g - 36*g. g**3 Collect the terms in -12743*x + 12743*x + 54*x**3. 54*x**3 Collect the terms in -219943*r**2 - 219952*r**2 + 659850*r**2 - 219967*r**2. -12*r**2 Collect the terms in 9*n**2 - 36*n - 27*n + 4*n. 9*n**2 - 59*n Collect the terms in -80*m + 91*m**2 - 69*m - 80*m + 229*m. 91*m**2 Collect the terms in -4*n**3 + 0*n**3 - 7*n + 7*n + 0*n. -4*n**3 Collect the terms in 1094742*g**2 - 1094742*g**2 - 2*g**3. -2*g**3 Collect the terms in -841*i + 1111*i - 705*i. -435*i Collect the terms in 8 + 3512*k**3 - 10*k**2 + 10*k**2 + 6030*k**3. 9542*k**3 + 8 Collect the terms in -3578 - 2*t + 1190 + 1195 + 1193. -2*t Collect the terms in -466 - p - p**2 - 3952 + 0*p**2. -p**2 - p - 4418 Collect the terms in -7*y + 12*y - 12*y + 12*y - 3*y. 2*y Collect the terms in -501*h**2 + 97*h**2 + 121*h**2 + 91*h**2 + 97*h**2 + 93*h**2. -2*h**2 Colle
{ "pile_set_name": "DM Mathematics" }
7 + 4*f**3/21 + 5*f**2/7 + 4*f/7 - 56. Suppose d(i) = 0. Calculate i. -2, -1, 1 Let j be (8/10)/(4 - (-12)/(-4)). Suppose 4 = -z + 7. Determine s, given that 0 + j*s**2 - 9/5*s**5 - 6/5*s**4 - 4/5*s + 11/5*s**z = 0. -1, 0, 2/3 Suppose -18 = -5*w + 2*w. Let k = w - 4. Find z, given that -2*z - z**k + 0*z + 2 - 4*z + 5*z = 0. -2, 1 Suppose -i**3 - 1/3*i**5 - i**4 + 0*i - 1/3*i**2 + 0 = 0. Calculate i. -1, 0 Let m(s) be the first derivative of -s**6/135 - s**5/90 + s**4/54 + s**3/27 - 4*s + 3. Let x(l) be the first derivative of m(l). Find g such that x(g) = 0. -1, 0, 1 Let q(h) = -h - 3. Let a be q(-4). Let t = 4/3 - a. Factor -1/3*i**4 + 0 + 1/3*i**2 + 0*i - 1/3*i**3 + t*i**5. i**2*(i - 1)**2*(i + 1)/3 Suppose 7*o = 5*o. Let t(a) be the third derivative of -2*a**2 + o*a**4 + 1/210*a**7 + 0*a - 1/60*a**5 + 0*a**6 + 0*a**3 + 0. Factor t(w). w**2*(w - 1)*(w + 1) Let z(k) be the second derivative of -k**5/35 + k**4/6 - k**3/7 - 15*k. Suppose z(p) = 0. What is p? 0, 1/2, 3 Let a be (1/(-15))/(23/989) - -3. Factor 2/15 + 4/15*c + a*c**2. 2*(c + 1)**2/15 Let l(s) be the second derivative of 1/35*s**5 + 0*s**4 + 0*s**2 + 0 - 1/147*s**7 + 1/105*s**6 + 0*s**3 - 5*s. Let l(p) = 0. What is p? -1, 0, 2 Let o(r) = -r**5 - 3*r**4 + 3*r**2 - 4*r + 5. Let y(q) = 4*q**2 - q**5 - q**4 - q**4 - 3*q - 2*q**2 + 4. Let m(u) = -4*o(u) + 5*y(u). Factor m(w). -w*(w - 1)**3*(w + 1) Let o = -32/9 + 38/9. Factor 2/3*k - 2/3*k**2 + 2/3*k**4 - o*k**3 + 0. 2*k*(k - 1)**2*(k + 1)/3 Let k be -3 + 1 - (-5 - -5) - -2. Let x(y) be the second derivative of k + 1/54*y**4 + 1/27*y**3 - 1/90*y**5 + y + 0*y**2 - 1/135*y**6. Let x(m) = 0. What is m? -1, 0, 1 Factor 128/7*w + 32/7 + w**3 + 58/7*w**2. (w + 4)**2*(7*w + 2)/7 Let g(t) be the first derivative of t**4/12 - t**2/2 - 2*t + 1. Let c(y) be the first derivative of g(y). Factor c(h). (h - 1)*(h + 1) Let c = -8/7 + 103/84. Let l(h) be the third derivative of -1/24*h**4 - c*h**3 + 0 - 3*h**2 - 1/120*h**5 + 0*h. Let l(d) = 0. What is d? -1 Let g(i) = -i**3 + i**2 - 1. Let b be g(-2). Let z = 16 - b. Find u, given that z*u**2 - 8*u**2 - 12 - 12*u + 0*u**2 + 0*u**2 = 0. -2 Let x(b) be the second derivative of 3*b**5/20 + 9*b**4/4 + 15*b**3/2 - 75*b**2/2 - 13*b. Determine j so that x(j) = 0. -5, 1 Let r(o) be the first derivative of -1/6*o**2 - 4/9*o**3 - 1/18*o**6 - 4/15*o**5 - 1/2*o**4 + 0*o - 1. Factor r(w). -w*(w + 1)**4/3 Let k(g) = 2*g**2 + 14*g + 12. Let h be k(-8). Let n = 57/2 - h. Factor -q**3 + 0 - n*q**4 + 1/2*q**2 + q. -q*(q - 1)*(q + 1)*(q + 2)/2 Let p(b) = -8*b**2 + 8*b + 1. Let f(y) = y**2 + 3*y - 3. Let z(n) = -2*n**2 - 4*n + 4. Let l(i) = 3*f(i) + 2*z(i). Let c(u) = 5*l(u) - p(u). Factor c(a). 3*(a - 2)*(a + 1) Let p be -3 + (-114)/(-27) - 1. Suppose -4/9 - p*n + 2/9*n**2 = 0. Calculate n. -1, 2 Suppose -2*j**3 + 5 + 4 - 9 - 4*j**2 = 0. What is j? -2, 0 Let n = -64 - -68. Let o(z) be the second derivative of -2*z + 1/3*z**n + 1/6*z**3 - 3/20*z**5 - z**2 + 0. Factor o(h). -(h - 1)**2*(3*h + 2) Factor -3*b**4 + 2*b**2 + 3*b**2 - 2*b**2. -3*b**2*(b - 1)*(b + 1) Let l(w) = -3*w**3 - 6*w**2 + 20*w + 16. Suppose 10*p - 14*p = -32. Let f(q) = -q**3 - 2*q**2 + 7*q + 5. Let s(v) = p*f(v) - 3*l(v). Let s(i) = 0. Calculate i. -2, 2 Solve -u**2 + u**2 - 213 + 33 - 5*u**2 - 60*u = 0 for u. -6 Let j(r) be the second derivative of r**4/90 + 2*r**3/15 + 3*r**2/5 + 11*r. Factor j(p). 2*(p + 3)**2/15 Let u(v) be the second derivative of -v**7/40 - 3*v**6/40 - v**5/20 + 5*v**3/6 - v. Let a(m) be the second derivative of u(m). Factor a(l). -3*l*(l + 1)*(7*l + 2) Let z(n) = n**3 - n**2 - 2*n. Let o(t) = 8*t**3 - 9*t**2 - 16*t. Let r(y) = 6*o(y) - 51*z(y). Factor r(u). -3*u*(u - 1)*(u + 2) Suppose 1 = -3*s + a + 6, -s - 15 = 3*a. Factor s*i**4 + 1/2*i**5 + 0*i**2 - i**3 + 1/2*i + 0. i*(i - 1)**2*(i + 1)**2/2 Solve 7331 - 7331 + 2*u**4 + 10*u**3 = 0 for u. -5, 0 Let y = 11/2 - 11/6. Factor -16/3*k**3 - 2/3*k - y*k**2 + 0 - 7/3*k**4. -k*(k + 1)**2*(7*k + 2)/3 Let v(p) = -12*p**2 + 12*p + 12. Let f(n) = -25*n**2 + 24*n + 24. Let g(u) = 3*f(u) - 7*v(u). Let g(q) = 0. Calculate q. -2/3, 2 Let o(a) be the third derivative of -a**6/540 - a**5/90 - a**4/54 - 6*a**2. Determine k so that o(k) = 0. -2, -1, 0 Let f(c) be the second derivative of -c**4/4 + 3*c**3 - 15*c**2/2 - 21*c. Factor f(t). -3*(t - 5)*(t - 1) Let j(m) = 4*m**2 + 2*m + 1. Let q be j(-1). Determine n, given that n**q - n**2 + n**3 + 8*n - 7*n**2 = 0. 0, 2 Let g(s) be the third derivative of s**5/60 - 43*s**4/72 - 5*s**3/3 + 10*s**2 + 3*s. Factor g(r). (r - 15)*(3*r + 2)/3 Suppose v + 4*n = 16, 3*v - 4*v + 20 = 5*n. Let o(u) be the first derivative of 0*u**3 - 2/5*u**5 + 1/2*u**4 + 3 + 0*u + v*u**2. Factor o(k). -2*k**3*(k - 1) Let m = 136756/163 - 839. Let w = m + 1143/326. Factor -r**3 + 9/2*r**4 + 0 - w*r**5 + 0*r**2 + 0*r. -r**3*(r - 1)*(7*r - 2)/2 Let y(f) be the first derivative of f**4 - 4*f**3/3 - 6. Determine u, given that y(u) = 0. 0, 1 Let y be (-66)/56 - (1 - 2). Let b = y - -3/7. Factor 0 + b*x**2 - 1/4*x. x*(x - 1)/4 Let t(y) be the first derivative of y**5/30 + y**4/4 + 5*y**3/18 - 24. Factor t(h). h**2*(h + 1)*(h + 5)/6 Suppose 2*a - 14 = 2*k, -3*a - a - 2*k - 2 = 0. Let l be 6/(-18)*a*-3. Suppose l*v**4 - 2*v**2 + 2*v - 2*v**3 - 2 + 2 = 0. What is v? -1, 0, 1 Let l(r) = -r**2 + 4*r. Let z be l(2). Let n(c) = -c**3 - 3*c**2 + 2. Let b be n(-3). Suppose b*p**3 + p + 0*p**z + p**3 - p**4 - 3*p**2 = 0. What is p? 0, 1 Let j(n) = 7 + n**2 - 5*n + 2 - 3. Let x be j(4). Let -k**5 - k**x - 2*k**4 + k - 3*k**5 + 3*k**5 + 3*k**2 = 0. What is k? -1, 0, 1 Let z(o) be the first derivative of o**7/4200 - o**6/600 + o**5/300 + 7*o**3/3 + 3. Let h(n) be the third derivative of z(n). Let h(s) = 0. What is s? 0, 1, 2 Suppose 2*r + 2*r = 8. Let u = 0 - -5. Solve 0 + 0*f + 0*f**r - 2/3*f**3 - 1/3*f**4 + f**u = 0 for f. -2/3, 0, 1 Suppose 4*m - 2 = 10. Let l(k) be the first derivative of -1 + 0*k + 0*k**2 - 1/10*k**4 + 0*k**m - 2/25*k**5. Factor l(o). -2*o**3*(o + 1)/5 Let a(z) be the third derivative of 0*z**3 + 1/60*z**4 + 0 - 1/525*z**7 + 0*z + 1/150*z**5 - 1/300*z**6 - 5*z**2. Factor a(s). -2*s*(s - 1)*(s + 1)**2/5 Suppose -4*g**3 - 2*g**5 - 4*g**5 - 2*g**5 + 10*g**5 + 2*g = 0. What is g? -1, 0, 1 Let i(t) be the first derivative of 2 + 0*t + 0*t**2 + 1/8*t**4 - 1/10*t**5 + 1/6*t**3 - 1/12*t**6. Let i(b) = 0. Calculate b. -1, 0, 1 Let d(b) = -b**3 - 11*b**2 - 9*b + 14. Let u be d(-10). Let n(p) = -p**2 + 2*p + 3. Let w(a) = a**2 - a - 2. Let s(f) = u*n(f) + 6*w(f). Factor s(l). 2*l*(l + 1) Let t(z) be the first derivative of 2*z**2 + 1 - 4/3*z**3 + 4/3*z**6 + 0*z + 4/5*z**5 - 3*z**4. Find x, given that t(x) = 0. -1, 0, 1/2, 1 Let m(g) be the first derivative of g**3/18 + g**2/6 - g/2 + 9. Factor m(o). (o - 1)*(o + 3)/6 Let v = -10 + 8. Let n be (-4)/(-6)*(5 + v). Factor -2/5*x - 2/5 - 2/5*x**5 + 4/5*x**n - 2/5*x**4 + 4/5*x**3. -2*(x - 1)**2*(x + 1)**3/5 Let u be -2 + -8 + 1206/117. Let -u*o**3 + 6/13*o - 2/13*o**5 + 6/13*o**4 - 2/13 - 4/13*o**2 = 0. Calculate o. -1, 1 Suppose 4*o + x + 1 - 35 = 0, 0 = o + 4*x - 16. Factor -o + 2*f**4 + 6*f - 6*f**3 + 2*f**2 + 9 - 5. 2*(f - 2)*(f - 1)**2*(f + 1) Let s(m) = m**2 + 4*m + 6. Let d(x) = 3*x**2 + 12*x + 17. Let u(v) = 3*d(v) - 8*s(v). Factor u(c). (c + 1)*(c + 3) Let o(n) be the first derivative of -2 + 0*n - 49/2*n**6 + 183/2*n**4 + 63/5*n**5 + 12*n**2 + 60*n**3. Solve o(d) = 0 for d. -1, -2/7, 0, 2 Let b(l) be the first derivative of 0*l**4 + 3/5*l**5 + 0*l**2 - 2*l**3 + 3*l + 9. Solve b(x) = 0. -1, 1 Let x(w) be the first derivative of w**5/25 - w**4/4 + 2*w**3/5 + 2*w**2/5 - 8*w/5 + 13. Factor x(l). (l - 2)**3*(l + 1)/5 Let o(t) = t**3 - t**2 - 3*t - 1. Let k be o(3). Let q be 41/44 - 6/k. Factor 0*n**2 + 0 - 4/11*n**3 + 2/11*n**5 + 0*n**4 + q*n. 2*n*(n - 1)**2*(n + 1)**2/11 Determine u, given that -2*u - 12*u**2 - 18*u**3 - 3*u**5 - 9*u - 12*u**4 + 8*u = 0. -1, 0 Let b(x) = -x**3 + 3*x**2 - 2. Let l be b(2). Factor -20 + a**3 + 20 + 0*a**2 + a + l*a**2. a*(a + 1)**2 Factor -2/5*o**4 + 0 + 1/5*o**5 + 2/5*o**2 - 1/5*o**3 + 0*o. o**2*(o - 2)*(o - 1)*(o + 1)/5 Determine y so that 1/3*y**4 + 2/3*y + 0*y**2 - 2/3*y**3 - 1/3 = 0. -1, 1 Suppose -2*r - 60 = -20. Let s(i) = -i**2 - i. Let f(y) = -2*y**3 - 8*y**2 - 10*y. Let a(t) = r*s(t) + 2
{ "pile_set_name": "DM Mathematics" }
ger? 26 What is the fourth root of 17562 to the nearest integer? 12 What is the square root of 35119 to the nearest integer? 187 What is 3188 to the power of 1/2, to the nearest integer? 56 What is 18608 to the power of 1/8, to the nearest integer? 3 What is the third root of 18386 to the nearest integer? 26 What is the seventh root of 116431 to the nearest integer? 5 What is the square root of 98364 to the nearest integer? 314 What is the sixth root of 575 to the nearest integer? 3 What is the fifth root of 25030 to the nearest integer? 8 What is 159368 to the power of 1/8, to the nearest integer? 4 What is 514 to the power of 1/2, to the nearest integer? 23 What is 265 to the power of 1/9, to the nearest integer? 2 What is 342 to the power of 1/7, to the nearest integer? 2 What is 4005 to the power of 1/7, to the nearest integer? 3 What is 553 to the power of 1/3, to the nearest integer? 8 What is 16325 to the power of 1/2, to the nearest integer? 128 What is 118426 to the power of 1/3, to the nearest integer? 49 What is 6306 to the power of 1/10, to the nearest integer? 2 What is the ninth root of 3800 to the nearest integer? 2 What is 1 to the power of 1/7, to the nearest integer? 1 What is the square root of 31264 to the nearest integer? 177 What is 2909 to the power of 1/10, to the nearest integer? 2 What is the eighth root of 94337 to the nearest integer? 4 What is the eighth root of 4048 to the nearest integer? 3 What is the fourth root of 7167 to the nearest integer? 9 What is the third root of 312 to the nearest integer? 7 What is the sixth root of 1162 to the nearest integer? 3 What is the third root of 312 to the nearest integer? 7 What is the cube root of 80279 to the nearest integer? 43 What is the square root of 1199 to the nearest integer? 35 What is the eighth root of 1877 to the nearest integer? 3 What is the cube root of 639 to the nearest integer? 9 What is the third root of 3027 to the nearest integer? 14 What is the square root of 197 to the nearest integer? 14 What is the cube root of 6627 to the nearest integer? 19 What is 2126 to the power of 1/2, to the nearest integer? 46 What is the third root of 2479 to the nearest integer? 14 What is 26 to the power of 1/2, to the nearest integer? 5 What is 4256 to the power of 1/4, to the nearest integer? 8 What is the third root of 36 to the nearest integer? 3 What is the square root of 2433 to the nearest integer? 49 What is 32373 to the power of 1/7, to the nearest integer? 4 What is 1018 to the power of 1/2, to the nearest integer? 32 What is 93791 to the power of 1/2, to the nearest integer? 306 What is the cube root of 39445 to the nearest integer? 34 What is the fourth root of 10481 to the nearest integer? 10 What is 5487 to the power of 1/9, to the nearest integer? 3 What is 361 to the power of 1/2, to the nearest integer? 19 What is the square root of 26548 to the nearest integer? 163 What is 11928 to the power of 1/3, to the nearest integer? 23 What is the cube root of 4671 to the nearest integer? 17 What is the square root of 2033 to the nearest integer? 45 What is the seventh root of 5375 to the nearest integer? 3 What is the eighth root of 69448 to the nearest integer? 4 What is the seventh root of 30 to the nearest integer? 2 What is the square root of 80589 to the nearest integer? 284 What is 5989 to the power of 1/10, to the nearest integer? 2 What is the cube root of 7273 to the nearest integer? 19 What is 20427 to the power of 1/5, to the nearest integer? 7 What is 8204 to the power of 1/5, to the nearest integer? 6 What is the fourth root of 12935 to the nearest integer? 11 What is the seventh root of 29984 to the nearest integer? 4 What is 22 to the power of 1/8, to the nearest integer? 1 What is 7187 to the power of 1/2, to the nearest integer? 85 What is 361 to the power of 1/9, to the nearest integer? 2 What is the third root of 436 to the nearest integer? 8 What is 9226 to the power of 1/4, to the nearest integer? 10 What is the eighth root of 763 to the nearest integer? 2 What is the cube root of 73346 to the nearest integer? 42 What is the square root of 13464 to the nearest integer? 116 What is the square root of 7766 to the nearest integer? 88 What is 4147 to the power of 1/2, to the nearest integer? 64 What is the square root of 1012 to the nearest integer? 32 What is 4289 to the power of 1/3, to the nearest integer? 16 What is 4015 to the power of 1/3, to the nearest integer? 16 What is the third root of 45334 to the nearest integer? 36 What is the eighth root of 1 to the nearest integer? 1 What is 27936 to the power of 1/6, to the nearest integer? 6 What is 2563 to the power of 1/2, to the nearest integer? 51 What is the third root of 166108 to the nearest integer? 55 What is 2104 to the power of 1/2, to the nearest integer? 46 What is the eighth root of 27225 to the nearest integer? 4 What is the sixth root of 831 to the nearest integer? 3 What is the square root of 11547 to the nearest integer? 107 What is 1680 to the power of 1/3, to the nearest integer? 12 What is the ninth root of 1560 to the nearest integer? 2 What is 6806 to the power of 1/3, to the nearest integer? 19 What is the square root of 5233 to the nearest integer? 72 What is the third root of 90 to the nearest integer? 4 What is 587 to the power of 1/3, to the nearest integer? 8 What is 5661 to the power of 1/3, to the nearest integer? 18 What is 1374 to the power of 1/2, to the nearest integer? 37 What is the eighth root of 6365 to the nearest integer? 3 What is the square root of 17567 to the nearest integer? 133 What is 13390 to the power of 1/2, to the nearest integer? 116 What is 14819 to the power of 1/6, to the nearest integer? 5 What is 699 to the power of 1/2, to the nearest integer? 26 What is the sixth root of 134327 to the nearest integer? 7 What is 3859 to the power of 1/6, to the nearest integer? 4 What is the square root of 1103 to the nearest integer? 33 What is the fourth root of 892 to the nearest integer? 5 What is the cube root of 919 to the nearest integer? 10 What is 542 to the power of 1/2, to the nearest integer? 23 What is the tenth root of 57218 to the nearest integer? 3 What is the cube root of 142321 to the nearest integer? 52 What is 17031 to the power of 1/3, to the nearest integer? 26 What is the square root of 9075 to the nearest integer? 95 What is 17269 to the power of 1/3, to the nearest integer? 26 What is the square root of 31720 to the nearest integer? 178 What is the square root of 26758 to the nearest integer? 164 What is the cube root of 81568 to the nearest integer? 43 What is the third root of 15408 to the nearest integer? 25 What is 839 to the power of 1/5, to the nearest integer? 4 What is the square root of 3577 to the nearest integer? 60 What is the cube root of 1433 to the nearest integer? 11 What is the tenth root of 696 to the nearest integer? 2 What is the ninth root of 122181 to the nearest integer? 4 What is the third root of 9481 to the nearest integer? 21 What is the eighth root of 1128 to the nearest integer? 2 What is the third root of 18444 to the nearest integer? 26 What is the seventh root of 903 to the nearest integer? 3 What is 7517 to the power of 1/8, to the nearest integer? 3 What is 13501 to the power of 1/2, to the nearest integer? 116 What is the square root of 31395 to the nearest integer? 177 What is the ninth root of 55790 to the nearest integer? 3 What is the square root of 130852 to the nearest integer? 362 What is 536 to the power of 1/3, to the nearest integer? 8 What is the square root of 6391 to the nearest integer? 80 What is the cube root of 15161 to the nearest integer? 25 What is 327 to the power of 1/3, to the nearest integer? 7 What is the fourth root of 5077 to the nearest integer? 8 What is 54958 to the power of 1/5, to the nearest integer? 9 What is the third root of 8156 to the nearest integer? 20 What is the eighth root of 9898 to the nearest integer? 3 What is 927 to the power of 1/2, to the nearest integer? 30 What is 108789 to the power of 1/6, to the nearest integer? 7 What is 10460 to the power of 1/3, to the nearest integer? 22 What is the ninth root of 924 to the nearest integer? 2 Wh
{ "pile_set_name": "DM Mathematics" }
ase 15, what is 7 - -1dc? 1e4 In base 5, what is -4 + 14030? 14021 In base 10, what is -18 + 137? 119 In base 8, what is -17 + 2? -15 In base 11, what is 458 + 5? 462 In base 6, what is -3 - -100? 53 In base 5, what is 1301 + 10? 1311 In base 12, what is 9b27 - 1? 9b26 In base 15, what is -7d + -6? -84 In base 4, what is 11 + -100? -23 In base 11, what is 37 - 41? -5 In base 16, what is -5c2 + 0? -5c2 In base 3, what is -210002 - -10? -202222 In base 15, what is 85 + 6? 8b In base 2, what is -1110111 - 101010? -10100001 In base 2, what is 1010001000 - 11000? 1001110000 In base 2, what is -1001110 + -11010? -1101000 In base 12, what is 5 + -1208? -1203 In base 7, what is -3660 + -2? -3662 In base 4, what is -10 - 22012? -22022 In base 4, what is -2223 + -11? -2300 In base 2, what is -11 - 10010011010? -10010011101 In base 8, what is 1 + 346? 347 In base 13, what is 6 - 74? -6b In base 9, what is 3 - 70? -66 In base 14, what is -c1 - -2? -bd In base 15, what is 87e - -3? 882 In base 7, what is -530 - 10? -540 In base 4, what is -13 - 1011? -1030 In base 5, what is -100 + 1212? 1112 In base 4, what is -130 - 13? -203 In base 15, what is 3 - -9ee? a02 In base 10, what is -13 + 36? 23 In base 15, what is 3 - -39? 3c In base 5, what is 10 + -3242? -3232 In base 11, what is 371 + -3? 369 In base 2, what is -10001000111 + 0? -10001000111 In base 12, what is -1 - 10bb? -1100 In base 9, what is -1856 + -2? -1858 In base 11, what is 24 + 9? 32 In base 3, what is 1122 + 1? 1200 In base 5, what is -4 + 233001? 232442 In base 15, what is -261 + 4? -25c In base 12, what is -b - -6a2? 693 In base 6, what is -1 + 321? 320 In base 13, what is -119 + 3? -116 In base 11, what is -466a + 5? -4665 In base 13, what is -90 - 1? -91 In base 13, what is -5 - -ac? a7 In base 12, what is a + 1a? 28 In base 6, what is 21 + -150? -125 In base 16, what is 9a - 1? 99 In base 11, what is -2207 - 5? -2211 In base 15, what is -4 - 380? -384 In base 3, what is -201 - 12001? -12202 In base 4, what is 11 + 11202? 11213 In base 12, what is -5 - 9b? -a4 In base 4, what is -33 + 1301? 1202 In base 11, what is -253 + -2? -255 In base 12, what is -157a - 5? -1583 In base 13, what is 0 + -10b0? -10b0 In base 8, what is 1 - -72? 73 In base 13, what is -217 + -4? -21b In base 12, what is 5 + 247? 250 In base 3, what is 2 + 1212? 1221 In base 8, what is -5 - 121? -126 In base 12, what is -49 - 2? -4b In base 13, what is 4b + -3? 48 In base 5, what is -1022 + 44? -423 In base 14, what is 3 - -4c? 51 In base 12, what is 5 + 5083? 5088 In base 8, what is 1 + 35? 36 In base 13, what is 715 - 3? 712 In base 2, what is 100011110 - 10? 100011100 In base 8, what is 1470 - 4? 1464 In base 7, what is 3 + -5621? -5615 In base 4, what is 21030 - -31? 21121 In base 12, what is 67b + 15? 694 In base 10, what is 9881 + 0? 9881 In base 13, what is -1 + -10c? -110 In base 6, what is -11 - 13451? -13502 In base 4, what is -3 - 13? -22 In base 10, what is 2217 - 1? 2216 In base 11, what is 4 - -555? 559 In base 6, what is 40 + -103? -23 In base 8, what is -3 - -22150? 22145 In base 12, what is -3 + -261? -264 In base 11, what is -12 - -25? 13 In base 5, what is 1 + -10? -4 In base 14, what is -1b3 - 4? -1b7 In base 5, what is -300 - -231? -14 In base 6, what is -5 + -253? -302 In base 15, what is 0 + 65? 65 In base 11, what is -3 - -331? 329 In base 10, what is -48 + -14? -62 In base 3, what is 11 - -212? 1000 In base 15, what is 13e - -1? 140 In base 7, what is 5 + -220? -212 In base 15, what is 6 + 1377? 137d In base 12, what is 599 - -4? 5a1 In base 8, what is 1 + -706? -705 In base 3, what is -101 + 1010122? 1010021 In base 12, what is 1 - 27? -26 In base 13, what is -19 + 62? 46 In base 12, what is -2 - 24? -26 In base 9, what is 3648 + 4? 3653 In base 8, what is 2 + -11? -7 In base 7, what is 61 + 4? 65 In base 12, what is -3 + 1a4? 1a1 In base 10, what is 0 + -1378? -1378 In base 2, what is 0 + -10010000? -10010000 In base 9, what is 54 - -58? 123 In base 10, what is 4 - -220? 224 In base 12, what is 3 - 11? -a In base 6, what is -20152 + 0? -20152 In base 7, what is -3 + 1055? 1052 In base 11, what is 1730 + 0? 1730 In base 13, what is -c1b - -1? -c1a In base 2, what is -1 - -1111000? 1110111 In base 9, what is -3 + -1554? -1557 In base 15, what is 5 + b2c? b32 In base 14, what is 6 - 11a? -114 In base 4, what is 221 + 20? 301 In base 13, what is 0 + 65? 65 In base 15, what is 177 - 0? 177 In base 11, what is 12955 + -3? 12952 In base 6, what is -4 - 150? -154 In base 9, what is -21 + 27? 6 In base 3, what is 0 - 11111? -11111 In base 6, what is -10 - 5152? -5202 In base 7, what is 2 - -461? 463 In base 13, what is 13ca - -4? 1401 In base 12, what is 1a9 - -5? 1b2 In base 10, what is 4 - -424? 428 In base 10, what is 1 - 16? -15 In base 4, what is 2303 - 3? 2300 In base 6, what is -1 - 22405? -22410 In base 12, what is 5 - a2? -99 In base 7, what is -11 + -2041? -2052 In base 13, what is 1a3 + 11? 1b4 In base 2, what is 1011 - -11110011? 11111110 In base 8, what is 1 - -32? 33 In base 6, what is -243 - 2? -245 In base 5, what is -11 + 1? -10 In base 7, what is -161 - 1? -162 In base 7, what is -1 + 1? 0 In base 8, what is 1324 + -42? 1262 In base 14, what is -3 + -30b? -310 In base 16, what is -1 - 1e? -1f In base 9, what is 136 + 1? 137 In base 14, what is -5 - 1145? -114a In base 4, what is -110230 - 2? -110232 In base 8, what is 746 + -4? 742 In base 9, what is 35 + 14? 50 In base 5, what is -12114 - -11? -12103 In base 15, what is -c9 - 43? -11c In base 16, what is a + -d? -3 In base 13, what is 3 - -35? 38 In base 5, what is -10 + 142? 132 In base 6, what is -2 - 1053? -1055 In base 13, what is -22 - 22? -44 In base 4, what is 0 - -2003? 2003 In base 14, what is -247d + -1? -2480 In base 2, what is 10 - -10000000001? 10000000011 In base 15, what is 4 + 1ad? 1b2 In base 10, what is -160 - -2? -158 In base 14, what is 35 + -13d? -108 In base 16, what is 36e - 5? 369 In base 2, what is -1110 + -100100? -110010 In base 6, what is 0 - 101? -101 In base 8, what is 2 + 52? 54 In base 2, what is 11 - -101101? 110000 In base 13, what is 0 + c1? c1 In base 16, what is 19ba + 1? 19bb In base 15, what is -48 + 3c? -b In base 5, what is -1010 + -1? -1011 In base 13, what is -c4 + 2? -c2 In base 6, what is -34 - 41? -115 In base 5, what is 2322 - -130? 3002 In base 14, what is -33b - 1? -33c In base 3, what is -11 - 2111? -2122 In base 7, what is -136030 - 3? -136033 In base 13, what is 219 + -6? 213 In base 13, what is -86 - 1? -87 In base 10, what is 999 - -11? 1010 In base 9, what is 148 + -4? 144 In base 4, what is -13 + 1003323? 1003310 In base 12, what is -249 + 2? -247 In base 13, what is -55 + 5? -50 In base 14, what is 32 - 12? 20 In base 2, what is -110 - 11? -1001 In base 16, what is aa + 0? aa In base 16, what is 57 - -5c? b3 In base 16, what is -134 + -3? -137 In base 4, what is -23 + -10212? -10301 In base 12, what is a - 23? -15 In base 15, what is 1 + -32? -31 In base 5, what is -1023 - 1? -1024 In base 15, what is 153 + a? 15d In base 11, what is a + -5? 5 In base 12, what is -1a62 + a? -1a54 In base 6, what is 141 + 4? 145 In base 6, what is 1 + 400? 401 In base 15, what is -3 + 1640? 163c In base 14, what is 2 - -2a? 2c In base 8, what is 4471 - 3? 4466 In base 16, what is 5 + -2? 3 In base 10, what is 258 - 15? 243 In base 16, what is -3 - 40? -43 In base 16, what is 6a5 - 4? 6a1 In base 8, what is 3577 - -11? 3610 In base 14, what is -1b2 - -1? -1b1 In base 15, what is -3 - 20? -23 In base 11, what is 0 - 93? -93 In base 9, what is -14 + -20? -34 In base 7, what is -1066 - 1? -1100 In base 2, what is 110101010 - 11? 110100111 In base 4, what is 11 + 1111? 1122 In base 3, what is -1 - -1022011? 1022010 In base 14, what is -1 + 305? 304 In base 2, what is -11011101110 + 1100? -11011100010 In base 2, what is 1100 - 1101? -1 In base 13, what is -6 + -8? -11 In base 5, what is -114 + -3? -122 In base 15, what is -1 + -2a6? -2a7 In base 6, what is 4 - 243? -235 In base 2, what is 10011 - 11? 10000 In base 4, what is -11 + -101210? -101221 In base 14, what is 3 + -37? -34 In base 2, what is -101111 - 100? -110011 In base 7, what is 261 + -2? 256 In base 12, what is 282 - 3? 27b In base 9, w
{ "pile_set_name": "DM Mathematics" }
13 = -q - 6*u + u. Let x(n) = n**3 + 3*n**2 - 41*n + 8. What is the remainder when x(q) is divided by 3? 1 Let q(k) = k**3 - 3*k**2 + k + 2. Suppose -5*n = -d + 23, 2*d - 6*d + 28 = -4*n. What is the remainder when q(4) is divided by (24/(-20))/((-6)/90*d)? 4 Let w = -5275 + 5772. What is the remainder when w is divided by 489? 8 Suppose 140 = 3*u + o - 0, 3*u = 2*o + 125. Let k(n) = -n**3 + 6*n**2 + 15*n - 8. Calculate the remainder when k(6) is divided by u. 37 What is the remainder when (15 + 62)*(-546)/(-77) is divided by 138? 132 Let m = -55 - -57. Suppose 5*g + m*g - 98 = 0. Calculate the remainder when 89 is divided by g. 5 Let r = 1177 - 30. Suppose -9*y + 2237 = -r. Calculate the remainder when y is divided by 54. 52 What is the remainder when (15/30)/(1/(-2))*(-428)/2 is divided by 18? 16 Let r(o) = 48*o - 14. What is the remainder when r(7) is divided by 113? 96 Let r(t) = -99*t + 11650. Calculate the remainder when 316 is divided by r(117). 48 Let l(r) be the first derivative of -r**2 + 36*r + 18. What is the remainder when l(-11) is divided by 15? 13 Let h(a) = 133*a - 1325. Calculate the remainder when h(12) is divided by 16. 15 Suppose -21 = -y + 2*g, 4*y - g - 84 = -3*g. What is the remainder when y*-4*((-2 - 3) + 4) is divided by 31? 22 Let r be (7/5)/(5/225). Suppose -y - 4*c + r = 0, 4*y + 17 = -5*c + 225. What is the remainder when y is divided by 24? 23 Suppose 0 = -5*x - 3*x + 16. Suppose -l - 36 = -8*b + 3*b, 5*l - 36 = -x*b. Suppose 4*w - 261 + 105 = 0. Calculate the remainder when w is divided by b. 7 Suppose -43*w + 46*w = 4*z + 591, 0 = -5*w + 3*z + 985. Calculate the remainder when 1062 is divided by w. 77 Let g(j) = j**2 + 3*j - 29. Let m be g(5). Let k(h) = h + 4. Calculate the remainder when 55 is divided by k(m). 10 Suppose 38*t - 29*t + 261 = 0. What is the remainder when (t*18/3)/(-2) is divided by 15? 12 Suppose 2*h = -38*l + 33*l + 108, 0 = -h - 3*l + 55. Calculate the remainder when 7397 is divided by h. 47 Let h(z) = -64*z - 467. Calculate the remainder when h(-19) is divided by 30. 29 Suppose 52*h - 934 - 428 = 770. Calculate the remainder when 314 is divided by h. 27 Let n(v) = -v**3 + 5*v + 4. Suppose -2*t = -c + 12, -t = 4*c - 60 - 15. Suppose 54*s - c*s - 936 = 0. What is the remainder when n(-4) is divided by s? 22 Suppose n - 155 = 12*r - 15*r, -n + 147 = r. What is the remainder when n is divided by 48? 47 Suppose 3*y - 464 = -4*a, -5*y = 5*a - 113 - 462. What is the remainder when a is divided by 54? 11 Calculate the remainder when 916 is divided by (-2499)/(-42)*4/7. 32 Let t = 4 + -19. Let b be (4 - (-1 + 4))*25. Let k = b + t. Calculate the remainder when 69 is divided by k. 9 Suppose -4*p - 3*b + 53 = 0, -5*p + 9*b + 75 = 14*b. What is the remainder when 3190 is divided by p? 6 Let v = 199 + -182. Let m = 49 - -5. Let k = m - 23. Calculate the remainder when k is divided by v. 14 Let q = -9 + 11. Suppose 4*x + p = 22, -q*x - 2*p + p + 12 = 0. Suppose 2*r + x*n = 7*r - 265, 3*r + 3*n = 189. Calculate the remainder when r is divided by 30. 28 Let x(k) = 59*k + 59. Let t be x(9). Suppose 0 = -12*i + 1174 + t. Calculate the remainder when i is divided by 37. 36 Let i be 1/2*(15 - 7). Suppose 5*t = 8 + 7, 0 = 5*x - i*t - 423. Let f = -972 + 987. What is the remainder when x is divided by f? 12 Suppose -6970*h + 6954*h + 5840 = 0. Calculate the remainder when h is divided by 18. 5 Let r(m) = -m**2 - 48*m + 1164. Calculate the remainder when 445 is divided by r(-63). 7 Let q = -25 + 27. Suppose -4*g = -5*g - q*w - 17, -3*g = -4*w + 1. What is the remainder when 6 + -6 - g/(21/72) is divided by 3? 0 Let u be (4*5/(-60))/((-2)/18). Let n(p) = -p**3 + 8*p**2 - 6*p + 6. Calculate the remainder when n(u) is divided by 20. 13 Let h(t) = -t**2 + 2*t + 1. Let o(l) = 2*l**2 - 10*l + 40. Let y(b) = -3*h(b) - o(b). Calculate the remainder when 81 is divided by y(6). 13 What is the remainder when 7075 is divided by (-7)/((-49)/(-154)) + 138? 115 Let r(m) = 236*m + 16. Calculate the remainder when 477 is divided by r(0). 13 Suppose 91*c - 95*c + 456 = 0. Calculate the remainder when 776 is divided by c. 92 Let j = 350 + -116. Suppose -j = -12*y - y. What is the remainder when y is divided by ((-1)/(-3)*9)/1? 0 Let c = -355 + -256. Let y = 615 + c. Let o = 83 - 28. Calculate the remainder when o is divided by y. 3 Let t = -7431 - -8816. Calculate the remainder when t is divided by (-1768)/(-28) - 3/21. 62 Let f(w) = 238*w**3 + w**2 + 9*w - 11. Calculate the remainder when f(1) is divided by 35. 27 Let p = -1560 + 1606. Calculate the remainder when 1618 is divided by p. 8 Let d(k) = -237*k + 479. Calculate the remainder when 1623 is divided by d(2). 3 Let q(z) = 2*z**2 + 25*z - 1038. What is the remainder when 544 is divided by q(-31)? 108 Let i = 102 + -91. Let k(a) = -a**3 + 13*a**2 - 15*a + 21. Let x be k(i). Let r = x - 71. What is the remainder when 76 is divided by r? 22 Suppose 205*n = 203*n + 2122. What is the remainder when n is divided by 21? 11 Suppose 17*w = 9*w + 32. Let j(k) = k**3 - 4*k**2 + 10*k - 1. Calculate the remainder when 114 is divided by j(w). 36 Suppose 4*a = -26*s + 30*s + 20, 0 = -4*a + 3*s + 17. Suppose -o + 2*g = -61, o + 3 - 64 = -a*g. What is the remainder when o is divided by 16? 13 Suppose 118*l - 113*l = 4*r - 1006, 2*l + 765 = 3*r. What is the remainder when r is divided by 94? 71 Suppose 0 = 8*w + 2606 - 4870. Calculate the remainder when w is divided by 134. 15 Suppose 15*a - 83 = 10*a - w, 2*a - 38 = 2*w. Suppose 6*o - 3*o + 2*f = a, -51 = -4*o + 3*f. Calculate the remainder when 196 is divided by o. 7 Suppose -3*p + 5*l = -152, -5*p - 6*l - 77 + 402 = 0. Calculate the remainder when 201 is divided by p. 24 Suppose 3*t + 6 = 5*v + 17, -3*t + 46 = 2*v. Suppose 121*m - 119*m - 92 = 2*w, -5*m - w + 212 = 0. What is the remainder when m is divided by t? 7 Calculate the remainder when 1 - (-122)/1 - (-11 + 16) is divided by 27. 10 Let i(p) = -690*p + 8348. Calculate the remainder when 2694 is divided by i(12). 42 Suppose -6750 - 326 = -4*p + 2*f, p - 1772 = 2*f. Suppose 6*k + 1684 = p. Calculate the remainder when 149 is divided by k. 9 Suppose 0 = 3*w - 2*k - 663, -w + 237 = -0*w + 2*k. Suppose -3*d + 4*n = 58, 5*n = n + 16. What is the remainder when w is divided by -1 + 4 - 756/d? 54 Calculate the remainder when 178020/4950 + 4/110 is divided by 12. 0 Let d(k) = 9*k**2 - 16*k - 9. Let z be d(5). Let q = z - 133. Calculate the remainder when 37 is divided by q. 1 Let g = -31 + 266. Suppose d - i = -4*d + g, 0 = -2*i + 10. Suppose 25 = m - 4*c, 20*c - 22*c - 75 = -3*m. What is the remainder when d is divided by m? 23 Suppose 826 = 4*f + 230. Suppose -145*d = -f*d + 132. Calculate the remainder when 228 is divided by d. 30 Suppose 4*m = 365 + 159. Calculate the remainder when m is divided by (-132)/(-16) - 35/56*2. 5 Let j(d) = 3*d. Let f(v) = v**3 + v**2 - 3*v - 1. Let o be f(-2). Calculate the remainder when 5/(-5) - (-11)/o is divided by j(1). 1 Let i = -72 - -37. Let n = 190 + i. Suppose -7*t = -n - 6. Calculate the remainder when t is divided by 13. 10 Let m(y) = -33*y + 18. Let b = 166 - 138. Calculate the remainder when b is divided by m(0). 10 Suppose -2*w + 42 = 2*f - 4*w, w = -4*f + 99. Suppose 0 = -8*h + 5*h - f. What is the remainder when ((-5)/15 - 57/18)*h is divided by 19? 9 What is the remainder when 1597 is divided by (-9 - -6) + 15 + (-6)/(1 - -1)? 4 Suppose -6*c + 64 = -98. Suppose -a = 2*a - c. Suppose a*s + 112 = 23*s. What is the remainder when 111 is divided by s? 7 Suppose -3*x = -5*r + 1572, 0*x + 3*x = -r + 300. Let z = 470 - 435. What is the remainder when r is divided by z? 32 Suppose -q + 23 = 2*b, -b + 3*q + 15 = -0. Let r(y) = -5*y - 12. What is the remainder when r(-9) is divided by b? 9 Let x be (0/(-1))/(5 - (-12)/(-3)). Suppose 80*h - 87*h + 399 = x. Calculate the remainder when h is divided by 33. 24 Let p(b) = 20*b + 5. Let t be p(-2). Let a(z) = -z**3 + 4*z**2 + 4*z + 8. Let n be a(-3). Let c = n + t. Calculate the remainder when c is divided by 5. 4 Suppose 3*v - 42 = -0*v. Let f be (-260)/6*(-4 - -3 - 2). Suppose -75 - f = -5*h. Calculate the remainder when h is divided by v. 13 Suppose 384 = 4*m - 4*b - 1840, b + 1658 = 3*m. Calculate t
{ "pile_set_name": "DM Mathematics" }
the d'th term of 1238, 1236, 1234, 1232, 1230? -2*d + 1240 What is the k'th term of 40092, 40113, 40134, 40155, 40176, 40197? 21*k + 40071 What is the t'th term of 1084, 1023, 966, 913, 864, 819? 2*t**2 - 67*t + 1149 What is the q'th term of -23708, -47413, -71118, -94823? -23705*q - 3 What is the i'th term of 4599, 4607, 4613, 4617, 4619? -i**2 + 11*i + 4589 What is the h'th term of -61175, -61168, -61157, -61142, -61123, -61100, -61073? 2*h**2 + h - 61178 What is the p'th term of -406, -983, -1560, -2137, -2714? -577*p + 171 What is the l'th term of 191, 2511, 6391, 11843, 18879, 27511, 37751, 49611? 2*l**3 + 768*l**2 + 2*l - 581 What is the o'th term of 33518, 33523, 33532, 33545, 33562? 2*o**2 - o + 33517 What is the s'th term of -623, -644, -687, -758, -863, -1008? -s**3 - 5*s**2 + s - 618 What is the w'th term of -20231, -20132, -20035, -19940, -19847? -w**2 + 102*w - 20332 What is the m'th term of 53725, 53717, 53707, 53695? -m**2 - 5*m + 53731 What is the y'th term of -240, -1138, -2688, -4884, -7720? y**3 - 332*y**2 + 91*y What is the f'th term of 19, 109, 257, 463? 29*f**2 + 3*f - 13 What is the f'th term of 2229, 9009, 20309, 36129? 2260*f**2 - 31 What is the w'th term of -2143, -8877, -20109, -35839, -56067? -2249*w**2 + 13*w + 93 What is the c'th term of -38967, -38965, -38963? 2*c - 38969 What is the o'th term of -107, -1231, -4275, -10199, -19963, -34527? -160*o**3 - 4*o + 57 What is the l'th term of -20897, -20895, -20891, -20885, -20877, -20867? l**2 - l - 20897 What is the v'th term of 1443, 692, -1345, -5310, -11845, -21592? -107*v**3 - v**2 + v + 1550 What is the m'th term of 86, 532, 1746, 4112, 8014? 64*m**3 - 2*m + 24 What is the b'th term of 9470, 9477, 9484, 9491, 9498, 9505? 7*b + 9463 What is the l'th term of -1752, -7045, -15886, -28281, -44236? -l**3 - 1768*l**2 + 18*l - 1 What is the r'th term of 29, 45, 67, 95? 3*r**2 + 7*r + 19 What is the p'th term of 1523281, 1523282, 1523283, 1523284, 1523285? p + 1523280 What is the i'th term of 500, 797, 1090, 1379, 1664, 1945, 2222? -2*i**2 + 303*i + 199 What is the z'th term of -3572, -7143, -10714? -3571*z - 1 What is the y'th term of 2297, 3714, 5131? 1417*y + 880 What is the z'th term of -2784, -5596, -8426, -11280, -14164, -17084, -20046, -23056? -z**3 - 3*z**2 - 2796*z + 16 What is the h'th term of 11477, 22956, 34435, 45914? 11479*h - 2 What is the r'th term of 174, 858, 2024, 3678, 5826, 8474, 11628, 15294? r**3 + 235*r**2 - 28*r - 34 What is the a'th term of -430692, -861381, -1292070, -1722759? -430689*a - 3 What is the r'th term of -61, -166, -437, -958, -1813, -3086, -4861, -7222? -14*r**3 + r**2 - 10*r - 38 What is the f'th term of -62474, -124946, -187418? -62472*f - 2 What is the u'th term of 1511, 6033, 13577, 24149, 37755, 54401? u**3 + 1505*u**2 + 5 What is the u'th term of -2852, -2357, -1862, -1367, -872? 495*u - 3347 What is the j'th term of 720650, 1441294, 2161938, 2882582, 3603226? 720644*j + 6 What is the x'th term of 1212, 1324, 1438, 1554, 1672? x**2 + 109*x + 1102 What is the k'th term of -157805, -315603, -473401, -631199, -788997? -157798*k - 7 What is the i'th term of -2083, -8175, -18267, -32359, -50451, -72543? -2000*i**2 - 92*i + 9 What is the u'th term of 1455064, 2910127, 4365192, 5820259? u**2 + 1455060*u + 3 What is the p'th term of 35, 125, 373, 857, 1655, 2845, 4505? 13*p**3 + p**2 - 4*p + 25 What is the k'th term of 124, 491, 1102, 1957, 3056, 4399? 122*k**2 + k + 1 What is the f'th term of 1473, 1459, 1445, 1431, 1417? -14*f + 1487 What is the y'th term of -56, 30, 118, 208, 300, 394? y**2 + 83*y - 140 What is the j'th term of -4096, -16345, -36760, -65341, -102088, -147001? -4083*j**2 - 13 What is the a'th term of -243, -295, -389, -531, -727, -983, -1305? -a**3 - 15*a**2 - 227 What is the n'th term of 12915, 12875, 12835, 12795, 12755, 12715? -40*n + 12955 What is the f'th term of -59, -296, -533? -237*f + 178 What is the v'th term of -3, 69, 307, 807, 1665, 2977? 16*v**3 - 13*v**2 - v - 5 What is the v'th term of 203906, 203905, 203904, 203903? -v + 203907 What is the a'th term of 16759, 16823, 16937, 17107, 17339, 17639, 18013? a**3 + 19*a**2 + 16739 What is the g'th term of -3990, -3692, -3196, -2502, -1610, -520? 99*g**2 + g - 4090 What is the c'th term of 73, 454, 1083, 1954, 3061, 4398, 5959, 7738? -c**3 + 130*c**2 - 2*c - 54 What is the d'th term of 2991, 5988, 8987, 11988, 14991, 17996, 21003? d**2 + 2994*d - 4 What is the q'th term of 146, 718, 1290, 1862, 2434? 572*q - 426 What is the x'th term of 43, -190, -579, -1124, -1825? -78*x**2 + x + 120 What is the a'th term of 553, 650, 747, 844, 941, 1038? 97*a + 456 What is the h'th term of 1347887, 1347884, 1347881, 1347878? -3*h + 1347890 What is the v'th term of 284, 259, 196, 77, -116, -401, -796, -1319? -3*v**3 - v**2 - v + 289 What is the q'th term of 16, 112, 394, 952, 1876, 3256, 5182? 15*q**3 + 3*q**2 - 18*q + 16 What is the o'th term of 1037, 1414, 1791? 377*o + 660 What is the s'th term of -45496, -45497, -45498? -s - 45495 What is the j'th term of -85276, -85279, -85282, -85285, -85288? -3*j - 85273 What is the h'th term of -109984, -109979, -109966, -109939, -109892, -109819? h**3 - 2*h**2 + 4*h - 109987 What is the j'th term of -133023, -133030, -133047, -133080, -133135, -133218? -j**3 + j**2 - 3*j - 133020 What is the j'th term of 8762, 35155, 79178, 140825, 220090, 316967? -j**3 + 8821*j**2 - 63*j + 5 What is the c'th term of -42, -42, -22, 36, 150, 338, 618, 1008? 3*c**3 - 8*c**2 + 3*c - 40 What is the p'th term of -70, -159, -252, -349, -450, -555, -664? -2*p**2 - 83*p + 15 What is the x'th term of 86, 308, 664, 1142, 1730, 2416, 3188, 4034? -2*x**3 + 79*x**2 - x + 10 What is the x'th term of 308, 1671, 3034, 4397, 5760, 7123? 1363*x - 1055 What is the g'th term of 2744, 21875, 73802, 174923, 341636, 590339? 2733*g**3 + 11 What is the u'th term of -4581364, -4581362, -4581360? 2*u - 4581366 What is the z'th term of -239, -241, -237, -221, -187, -129? z**3 - 3*z**2 - 237 What is the q'th term of 7843, 15781, 23719, 31657? 7938*q - 95 What is the z'th term of -27, -111, -249, -441? -27*z**2 - 3*z + 3 What is the t'th term of -194, -838, -1948, -3554, -5686? -5*t**3 - 203*t**2 + 14 What is the a'th term of -2272, -18254, -61692, -146332, -285920, -494202, -784924? -2291*a**3 + 18*a**2 + a What is the t'th term of 206, 261, 4, -721, -2070, -4199? -26*t**3 + 237*t - 5 What is the j'th term of 13512, 13495, 13476, 13455, 13432, 13407, 13380? -j**2 - 14*j + 13527 What is the q'th term of 7209, 7219, 7227, 7227, 7213, 7179, 7119, 7027? -q**3 + 5*q**2 + 2*q + 7203 What is the d'th term of 52, 185, 426, 793, 1304, 1977, 2830? 3*d**3 + 36*d**2 + 4*d + 9 What is the b'th term of -13807, -27504, -41201, -54898? -13697*b - 110 What is the v'th term of -335424, -335417, -335408, -335397, -335384, -335369? v**2 + 4*v - 335429 What is the k'th term of -24, 281, 1240, 3171, 6392, 11221, 17976, 26975? 53*k**3 + 9*k**2 - 93*k + 7 What is the u'th term of -1020, -235, 550, 1335, 2120, 2905? 785*u - 1805 What is the h'th term of -522, -1026, -1486, -1878, -2178, -2362, -2406? 4*h**3 - 2*h**2 - 526*h + 2 What is the a'th term of 27400, 54801, 82202, 109603? 27401*a - 1 What is the u'th term of 1208, 1259, 1310, 1361, 1412? 51*u + 1157 What is the r'th term of 9473, 18947, 28421? 9474*r - 1 What is the v'th term of 170080, 170082, 170084, 170086, 170088, 170090? 2*v + 170078 What is the z'th term of 18, 228, 630, 1224? 96*z**2 - 78*z What is the m'th term of 703, 689, 665, 625, 563? -m**3 + m**2 - 10*m + 713 What is the q'th term of -68898, -137796, -206690, -275580? 2*q**2 - 68904*q + 4 What is the o'th term of 5913, 5569, 4997, 4197, 3169, 1913, 429? -114*o**2 - 2*o + 6029 What is the o'th term of -240149, -480300, -720453, -960608? -o**2 - 240148*o What is the h'th term of 16111, 16100, 16089, 16078? -11*h + 16122 What is the h'th term of 569, 563, 549, 527, 497, 459, 413? -4*h**2 + 6*h + 567 What is the l'th term of 6805, 13647, 20537, 27499, 34557, 41735, 49057? 4*l**3 + 6814*l - 13 What is the d'th term of 47828, 95565, 143310, 191069, 238848, 286653? d**3 - 2*d**2 + 47736*d + 93 What is the d'th term of -239, -486, -729, -968, -1203, -1434? 2*d**2 - 253*d + 12 What i
{ "pile_set_name": "DM Mathematics" }
8)))/y)**(2/3))**(-18) assuming y is positive. y**(75/7) Simplify k**26/(k**(19/5)*k)*(k*k/((k**(-9/5)/k*k*k)/k*k))**(-6/23) assuming k is positive. k**(2354/115) Simplify (l**(-2/17)/(l/(l*l/l**(-5/3)*l*l)))/((l/l**6)/(l*(l**(1/12)*l)/l)) assuming l is positive. l**(723/68) Simplify (o/o**(-21)*o**(-3/5))**3 assuming o is positive. o**(321/5) Simplify (((l/(l/(l/(l*l**(-2/21)))))/l**(7/3))/(((l/l**(1/5))/l)/l*l**(-2)/l))**11 assuming l is positive. l**(2266/105) Simplify (((a**(1/2)/a)/a)**32/(a**(-8)/a**(3/2)))**(-29) assuming a is positive. a**(2233/2) Simplify ((h*h/h**(8/5))/h)**46/(h*h**(-1/4)*h/h**23) assuming h is positive. h**(-127/20) Simplify (k/k**(5/3))/(k*k/(k*k**(1/18)))*k/(k*k**(2/5))*(k*k**11*k)/k assuming k is positive. k**(899/90) Simplify (y/(y**5/y*y)*y)**(2/3)*y**(-4/7)/(y*(y**(4/5)/y*y)/y) assuming y is positive. y**(-118/35) Simplify (c/(c*c*c/(((c**4/c)/c)/c))*(c*c*c**11*c*c)/c)/(c**(-1/5)*c*c/c**(-2/7)) assuming c is positive. c**(382/35) Simplify (z/(z/(z**(-2/9)*z))*(z*z*z**(-3))/z)/(z**(-1/4)*z**(-3/5)) assuming z is positive. z**(-67/180) Simplify m**(-1/28)*m**(-13)*((m/((m/(m**(6/13)*m))/m)*m)/m)**(2/7) assuming m is positive. m**(-4489/364) Simplify z*z**(-1/4)*z*z/((z/z**(-1/7))/z)*(z/z**1)/(z/(z**(2/57)/z)) assuming z is positive. z**(1025/1596) Simplify (((((q**(-2/7)*q)/q)/q)/q)**(-12/5)/((q**3*q)/(((q*q**0*q)/q)/q*q)))**(-19/6) assuming q is positive. q**(-551/70) Simplify ((q/q**4)/(q*q*q**(-2/11))*(q**(-1/4)/q)**(-21))**(-6/19) assuming q is positive. q**(-2829/418) Simplify (s**(-2/15)*s*s**(2/5)/s*s*s**2*(s**0*s*s)/s)**(-15/2) assuming s is positive. s**(-32) Simplify (t**(-3)/(t/(t/t**(-16))))/(t**7)**(-5/2) assuming t is positive. t**(61/2) Simplify (w/(w/w**(2/33))*w*w)/(w/(w**(1/2)/w))*w**(-2/31)*w*w**(1/35)*w assuming w is positive. w**(180791/71610) Simplify g*g**(-2/13)*g/g**11*g*((((g/(g/((g**8*g)/g)*g))/g)/g)/g)/g**(-13) assuming g is positive. g**(115/13) Simplify (l**(2/23)*l/l**(-2/49))/(l**0)**(-3/31) assuming l is positive. l**(1271/1127) Simplify r**(-15/4)*r**35*r/(r*r**(2/25))*(r/(r/r**(-11)))/r assuming r is positive. r**(1917/100) Simplify ((((g/g**3)/g)**(6/19))**(-22))**27 assuming g is positive. g**(10692/19) Simplify ((l*(l*(l/(l*l*l**(-2)))/l)/l)/(l/l**(-2/17))*(l**0)**13)**(1/44) assuming l is positive. l**(-1/374) Simplify (z/((z*z**(1/7))/z)*z**(3/2))/((z/(z*z/((z*z*z*z**(-7)*z)/z)))/z**(-2/7)) assuming z is positive. z**(99/14) Simplify ((n**(-1/17)*n)/n**(-6))**(-1/6) assuming n is positive. n**(-59/51) Simplify u**(-3/2)/u**(-11)*((u/(u*u**(-1)))/u)**11 assuming u is positive. u**(19/2) Simplify (n**(-2))**(1/36)/(n**(2/21)*(n*n**15)/n) assuming n is positive. n**(-1909/126) Simplify (j**(-1))**41*(j/(j/(j*j*j**(-8/7)/j*j)))/j**2 assuming j is positive. j**(-295/7) Simplify (m*((m**2*m)/m)/m)**30/((m*m*m**(2/45)*m)/m**(-1/8)) assuming m is positive. m**(20459/360) Simplify ((h**(-2/3))**(4/27)*(h/h**(2/15))/(h/h**(5/6)))**(-18) assuming h is positive. h**(-487/45) Simplify (((d/d**(-3))/d)**(-33)/(d**(1/12)*(d/d**(7/2))/d))**(-2/5) assuming d is positive. d**(1147/30) Simplify (((s*s*s**(-5/4)/s*s)/(((s*s/(s*s/s**(-3/5)))/s)/s))**(-21))**(2/17) assuming s is positive. s**(-1407/170) Simplify ((p*p*p/(p*((p/(p/p**(-7/2)))/p)/p)*p*p)/(p*p**(8/5)*p))**26 assuming p is positive. p**(767/5) Simplify ((b/(((b*b**(2/15))/b*b)/b))/(b*b**(-2/37)))/((b/((b/(b*(b*b*b**(-12))/b))/b*b))/((b**(-1/2)*b)/b*b)) assuming b is positive. b**(11567/1110) Simplify (z*z/z**(2/9))**49/(z/(z**1*z))**(5/6) assuming z is positive. z**(1583/18) Simplify (x**(-7)*x*x/x**(-2/11)*(x/(x/(((x**1/x)/x)/x))*x)/(x*x/(x/x**8)))**(-34) assuming x is positive. x**(5542/11) Simplify (m**(-6/11)/m**(-7))**23 assuming m is positive. m**(1633/11) Simplify (o/(o*((o/o**(-6))/o)/o)*o**(-1/4)/o*o*o)/((o*o**(-2/35)*o)/o**(-27)) assuming o is positive. o**(-4647/140) Simplify (b**(-15)/b**7)/(b/(b/(b*b**(3/7))))**(-1/7) assuming b is positive. b**(-1068/49) Simplify (v*v*v**(-3)*v)**(-2/37)*(v**(-1))**(-6) assuming v is positive. v**6 Simplify (((g/g**(2/7))/(g/g**(1/5)*g))/(g**0/g**(-2/9)))**(2/53) assuming g is positive. g**(-824/16695) Simplify ((c**(1/7)*(c/c**1*c*c)/c)/(c**0/c*c)**(-46))**(-3/34) assuming c is positive. c**(-12/119) Simplify (k**(-1/18)/k**(5/6))/(k**(-5)/k**9) assuming k is positive. k**(118/9) Simplify (v*v*v**(3/5))/v*(v**(1/4)/v)/v*((v*v**(-3))/v)**0 assuming v is positive. v**(-3/20) Simplify (b*b**0*b**11/b)/(((b*b**(-13)*b)/b)/(b*((b/(b/b**(-20)))/b)/b)) assuming b is positive. b**2 Simplify (j**(-10)/((j*j**(5/6)/j)/j)*(j/(j/(j*j*j*j*j/(j/j**(-2/23))*j*j*j*j)))/j**6)**(1/7) assuming j is positive. j**(-1093/966) Simplify n**(16/5)*n**(-14/11)*(n**(-18)/n)**(-21/5) assuming n is positive. n**(899/11) Simplify (n**(3/17))**(-1/51)*n**16/((((n/(n*n*n*(n/(n**(1/12)*n))/n)*n)/n)/n)/n) assuming n is positive. n**(65591/3468) Simplify (j/(j/(j/j**0)))**(-1/6)/(j**(-3)/j)**40 assuming j is positive. j**(959/6) Simplify ((x**1/((x/((x/(x*x/(x/x**1)*x))/x*x))/x))/(x**(2/3)/x)**(-24))**(3/2) assuming x is positive. x**(-27/2) Simplify (c/(c/c**1*c))**(-19/6)/(c**0/c)**(-1/60) assuming c is positive. c**(-1/60) Simplify (l/(l*l**(-1/5)))/(l/(l*l*l**(1/9)))*l/l**(-2/11)*(((l**4/l)/l)/l)/l assuming l is positive. l**(1234/495) Simplify (a**(-2))**48*((a**(2/7)*a)/a*a)/a**4 assuming a is positive. a**(-691/7) Simplify (w**(-1)/w**(-10))/((w/w**(-2/21))/w*(w*w*w**(2/39))/w) assuming w is positive. w**(2144/273) Simplify (q/(q*q**(-1/4))*q**(-2/35)/q)/((q**(1/19)*q)/(q**(-21)*q)) assuming q is positive. q**(-58147/2660) Simplify f**(-34)/(f*f**(-1/25))*(f**(-10))**(-2/37) assuming f is positive. f**(-31838/925) Simplify (i**0)**(-24)/(i*i**1*i)**(4/9) assuming i is positive. i**(-4/3) Simplify ((z**(-1)*z/(z/(z*((z/(z/z**(-3)))/z)/z*z)))**(2/7))**(-1/9) assuming z is positive. z**(8/63) Simplify (((h*(h*h**5/h*h)/h)/(h/((h*h**(-13)*h)/h)*h))**(-7/4))**(-2/3) assuming h is positive. h**(-28/3) Simplify g**(-2/19)/(g/(g*g*(g*g**(-5/7)/g)/g*g*g))*(g**(-1/4)*g)/(g*((g**33*g)/g)/g) assuming g is positive. g**(-16529/532) Simplify ((l/l**(-3))/l**(4/9)*l**(-1)/(l*l/((l*(l*l**(-5)*l)/l)/l)*l))**(3/2) assuming l is positive. l**(-20/3) Simplify ((n/((n*n/((n/n**(2/17))/n))/n))/n*n/(n*n**(-8))*n**2/n**(-1/7))**(3/11) assuming n is positive. n**(3222/1309) Simplify (p**(-12)*p**1*((p**3*p)/p)**(-3/17))**(-2) assuming p is positive. p**(392/17) Simplify (k**7*k**(1/9)*k)**2 assuming k is positive. k**(146/9) Simplify (k**4/k)/k**(-12)*k**(-10)*k**(-2/7)/k*k assuming k is positive. k**(33/7) Simplify (b**0)**(3/11)*(b/(b/(b*b**3*b)))**(2/39) assuming b is positive. b**(10/39) Simplify t**(6/19)*t**(-14)*((t/t**2)/t*t)/t**(1/2) assuming t is positive. t**(-577/38) Simplify ((x/(((x*(x*x*x**(2/3))/x*x)/x)/x))/x**(1/5)*(x**(-6)/x)/x*x/(x**(-1/13)*x))**(-47) assuming x is positive. x**(80558/195) Simplify ((x**(-1))**(-2))**(9/5) assuming x is positive. x**(18/5) Simplify (w**(3/5))**31*(w**17*w)**6 assuming w is positive. w**(633/5) Simplify ((h**1)**(-11/3)*h*(h**(-3)/h)/h*h*h**(-2/7)*h)**(5/17) assuming h is positive. h**(-625/357) Simplify (o**(-1/2)*o/(o/o**5)*o)/(o*o/(o**1/o)*o*o*o/(o/o**(-5))) assuming o is positive. o**(13/2) Simplify (((w*w**(-1/26)*w*w)/w)/((w**(-2)/w*w)/w))**(-3/19) assuming w is positive. w**(-387/494) Simplify ((v**3*v/((v*v/v**(2/3)*v)/v))/(v**(-7)*v**(-3/2)))**(-7/9) assuming v is positive. v**(-469/54) Simplify (n/(((n/((n/(n/(n*n/(n**(-2/5)/n)*n)))/n)*n*n*n)/n*n)/n*n))**(-2/101)/(n*(n*n**5)/n*n*n**0) assuming n is positive. n**(-3539/505) Simplify ((z/(z/z**(1/4)))**(2/15)/(z/(z/(z/(z**1/z))))**(-11/3))**(-1) assuming z is positive. z**(-37/10) Simplify (x*(x*x**(-3)/x)/x)**(2/109)*(x**(6/23)*x)/x**(-3/14) assuming x is positive. x**(49843/35098) Simplify v**21*v/(v**(-2/21)*v)*((v/(v/(v/(v/v**(-2/81)))))/v)/(v/(v**(-26)*v)) assuming v is positive. v**(-3362/567) Simplify (x**(-2/43)/(x*x/(x**14*x*x)))/((x*x**(-1/29))/((x**(-3/7)*x)/x*x*x)) assuming x is positive. x**(127089/8729) Simplify (n/((n*n**(3/7)/n*n)/n)*(n*(n*n**38)/n)/n)**(-11) assuming n is positive. n**(-2970/7) Simplify (p*p**1/p)**(-1/18)/((p/(p**(-1/8)/p))/(p**(-12)/p)) assuming p is positive. p**(-1093/72) Simplify (l
{ "pile_set_name": "DM Mathematics" }
2/19 - 276*h/19 + 31950/19 = 0. -213, 75 Solve -i**5/5 + 404*i**4/5 + 407*i**3/5 - 162*i**2 = 0 for i. -2, 0, 1, 405 Factor 517*v**2 - 1021*v - 26. (v - 2)*(517*v + 13) Factor -b**3/8 + 2383*b**2/8 - 1435035*b/8 + 18254925/8. -(b - 1185)**2*(b - 13)/8 What is y in -2*y**2 + 80778*y - 242316 = 0? 3, 40386 Suppose -2*m**3/3 + 110*m**2 - 7396*m/3 - 2576 = 0. What is m? -1, 28, 138 Find z such that -2*z**3/3 + 24358*z**2/3 + 2*z/3 - 24358/3 = 0. -1, 1, 12179 Determine a so that 5*a**2 - 6360660*a + 2022899781780 = 0. 636066 Factor -4*d**2 - 10412*d - 10408. -4*(d + 1)*(d + 2602) Solve -27*q**5 - 750*q**4 + 1404*q**3 + 93048*q**2 - 362880*q + 355200 = 0. -20, 2, 74/9 Find l such that 2*l**4/9 - 1294*l**3 - 58264*l**2/9 - 10360*l - 46624/9 = 0. -2, -1, 5828 Factor t**3/4 - 422*t**2 - 3379*t/4 - 845/2. (t - 1690)*(t + 1)**2/4 Determine i, given that -2*i**5 + 4552*i**4 - 2539442*i**3 - 57739692*i**2 - 200339640*i - 190108944 = 0. -18, -2, 1149 Factor 5*t**3/4 + 189600*t**2. 5*t**2*(t + 151680)/4 Solve 6*l**3/5 - 17004*l**2/5 - 1638138*l/5 - 38807712/5 = 0 for l. -47, 2928 Factor i**4/2 + 7549*i**3/2 + 18883791*i**2/2 + 15367900439*i/2 - 356696720402. (i - 44)*(i + 2531)**3/2 Find i, given that -i**2/4 + 1929*i/2 + 11583/4 = 0. -3, 3861 Find l such that 2*l**3/3 - 23974*l**2/3 + 23944032*l + 23952024 = 0. -1, 5994 Let 2*f**4/3 - 1550*f**3 - 200574*f**2 - 1189486*f/3 - 197472 = 0. Calculate f. -121, -1, 2448 Determine g, given that -5*g**2/3 + 3545*g/3 + 33120 = 0. -27, 736 Find o, given that 54*o**4 + 33*o**3 - 753*o**2 + 888*o + 108 = 0. -9/2, -1/9, 2 Find a, given that -a**3/11 + 24567*a**2/11 = 0. 0, 24567 Solve 9*u**2/7 - 38247*u/7 + 3642 = 0 for u. 2/3, 4249 Factor -2*l**2 + 26026*l - 52044. -2*(l - 13011)*(l - 2) Suppose 2*r**4 + 80*r**3 + 1024*r**2 + 4096*r = 0. Calculate r. -16, -8, 0 Factor 2*m**4/9 - 3352*m**3/3 + 12710588*m**2/9 - 58824248*m/3 + 615934802/9. 2*(m - 2507)**2*(m - 7)**2/9 Factor -5*n**3 + 1740390*n**2 + 3480795*n + 1740400. -5*(n - 348080)*(n + 1)**2 Factor 2*u**3 + 5888*u**2 + 4321768*u - 17381408. 2*(u - 4)*(u + 1474)**2 Solve 2*t**2 - 13384*t + 26760 = 0. 2, 6690 Factor 6837602*u**2 + 3668416*u + 492032. 2*(1849*u + 496)**2 Determine p so that 5*p**3/3 + 377*p**2/3 + 929*p - 603 = 0. -67, -9, 3/5 Find u, given that -3*u**4/4 + 5241*u**3/4 + 21003*u**2/4 + 15759*u/4 = 0. -3, -1, 0, 1751 Determine z, given that 2*z**4 + 44200*z**3 + 88390*z**2 - 44200*z - 88392 = 0. -22098, -2, -1, 1 Factor 2*a**4/5 + 688*a**3/5 + 50874*a**2/5 - 1473516*a/5. 2*a*(a - 22)*(a + 183)**2/5 Factor 2*i**2/15 + 2038*i/15 + 92556/5. 2*(i + 162)*(i + 857)/15 Factor -135*a**3 + 137*a**2 + 808*a - 12. -(a - 3)*(a + 2)*(135*a - 2) Suppose 11*d**5 + 10781*d**4/3 - 35869*d**3/3 + 33323*d**2/3 - 776*d - 1980 = 0. What is d? -330, -1/3, 1, 18/11 Factor -o**3/3 - 2806*o**2/3 - 47429*o/3 - 44624/3. -(o + 1)*(o + 16)*(o + 2789)/3 Suppose -p**5/2 + 3*p**4/2 + 81*p**3/2 - 243*p**2/2 = 0. Calculate p. -9, 0, 3, 9 Find v, given that -2*v**4/15 - 844*v**3/15 - 5894*v**2/5 - 6568*v/3 - 3200/3 = 0. -400, -20, -1 Factor -9*q**4/2 - 565536*q**3 - 17768575583*q**2 - 11845528544*q - 3948488569/2. -(q + 62837)**2*(3*q + 1)**2/2 Factor -b**3/2 - 87*b**2 + 10341*b/2 - 5083. -(b - 46)*(b - 1)*(b + 221)/2 Find m such that -5*m**2/3 + 20290*m/3 + 40640 = 0. -6, 4064 Factor 2*b**3/9 - 2048*b**2/9 + 4078*b/3 - 2036. 2*(b - 1018)*(b - 3)**2/9 Solve n**3/3 + 7*n**2 + 140*n/3 + 96 = 0 for n. -9, -8, -4 Factor -q**2/7 - 1836*q/7 + 191565/7. -(q - 99)*(q + 1935)/7 Find j such that -j**3 + 89*j**2 + 6656*j + 95316 = 0. -26, 141 Factor l**2/4 + 9781*l/4 - 4891/2. (l - 1)*(l + 9782)/4 Suppose 90*a**4 - 2379*a**3 + 8526*a**2 + 5529*a + 330 = 0. Calculate a. -1/2, -1/15, 5, 22 Factor 2*z**4 - 128*z**3 + 1970*z**2 + 2100*z. 2*z*(z - 35)*(z - 30)*(z + 1) Find g such that 22*g**5 - 15174*g**4 - 34566*g**3 - 23522*g**2 - 4152*g = 0. -1, -3/11, 0, 692 Let 5*w**4/6 + 2715*w**3 + 11131985*w**2/6 - 579983730*w + 114085897210/3 = 0. Calculate w. -1751, 122 Find j, given that 5*j**4/2 + 827*j**3 + 143805*j**2/2 + 575414*j + 414736 = 0. -161, -8, -4/5 Suppose -4*v**2/7 + 935136*v/7 - 54654958656/7 = 0. Calculate v. 116892 Suppose -5*p**4 - 980*p**3 + 87135*p**2 + 177190*p + 89080 = 0. What is p? -262, -1, 68 Solve -2*b**3/7 + 2642*b**2/7 - 253342*b/7 + 250702/7 = 0 for b. 1, 103, 1217 Determine u, given that 5*u**2/3 - 349285*u/3 + 931320 = 0. 8, 69849 Factor 5*u**3/2 + 39*u**2/4 - 151*u + 15. (u - 6)*(u + 10)*(10*u - 1)/4 Factor 2*u**2/5 - 4798*u. 2*u*(u - 11995)/5 Solve 2*d**2 + 1186*d - 3576 = 0 for d. -596, 3 Factor -44*w**4 - 74984*w**3 - 42600000*w**2 - 8070761984*w - 1466003456. -4*(w + 568)**3*(11*w + 2) Solve 6050*j**5 + 36740*j**4 - 269602*j**3 - 322252*j**2 - 22360*j - 400 = 0. -10, -1, -2/55, 5 Suppose 2*q**5/15 - 2416*q**4/5 + 6624346*q**3/15 - 104350604*q**2/15 + 62952384*q/5 - 91123648/15 = 0. Calculate q. 1, 14, 1804 Suppose -8924480*u**2 - 334000*u - 3125 = 0. What is u? -25/1336 Factor 4*w**2/7 - 604*w + 50160/7. 4*(w - 1045)*(w - 12)/7 Factor -3*c**3 - 450*c**2 + 58527*c + 118830. -3*(c - 85)*(c + 2)*(c + 233) Factor -3*f**3/2 + 17253*f**2 + 69021*f/2 + 17256. -3*(f - 11504)*(f + 1)**2/2 Factor -68*j**3 + 236*j**2 - 168*j. -4*j*(j - 1)*(17*j - 42) Factor 4*s**3/7 - 120*s**2 + 4868*s/7 + 816. 4*(s - 204)*(s - 7)*(s + 1)/7 Solve 2*o**2/5 - 6712*o/5 + 1342 = 0. 1, 3355 Factor -5*i**2/6 - 1895*i/2 + 2850. -5*(i - 3)*(i + 1140)/6 Find x, given that -x**4 - 443*x**3 - 49650*x**2 - 114400*x + 3388000 = 0. -220, -10, 7 Solve -684*w**4 - 3016*w**3 - 3452*w**2 + 496*w + 1616 = 0 for w. -2, -1, 101/171 Determine u so that -4*u**2 + 114728*u - 822657124 = 0. 14341 Factor 9*h**3/2 - 413*h**2 + 5796*h + 13280. (h - 20)*(h + 2)*(9*h - 664)/2 Factor -28*a**3 - 956544*a**2 - 273296*a. -4*a*(a + 34162)*(7*a + 2) Determine j so that 3*j**5/2 + 1890*j**4 - 11397*j**3/2 - 18945*j**2 = 0. -1263, -2, 0, 5 Let v**3/4 - 10125*v**2 - 40503*v/4 + 40501/2 = 0. Calculate v. -2, 1, 40501 Determine f, given that 5*f**3 + 11216870*f**2 + 6290908629845*f = 0. -1121687, 0 Solve -15*z**4/4 + 681*z**3/4 - 975*z**2/4 - 71673*z/4 + 14391/2 = 0. -9, 2/5, 13, 41 Factor -x**3 - 6011*x**2 - 9024007*x + 27126147. -(x - 3)*(x + 3007)**2 Solve -b**5/2 - 141*b**4/2 + b**3 + 141*b**2 - b/2 - 141/2 = 0 for b. -141, -1, 1 Factor 27*c**4/4 + 1047*c**3/4 + 2193*c**2/2. 3*c**2*(c + 34)*(9*c + 43)/4 Determine u so that 2*u**4 - 638*u**3 + 67496*u**2 - 2345592*u - 2413728 = 0. -1, 102, 116 Factor 17*t**3/3 - 88*t**2 - 976*t - 6400/3. (t + 4)**2*(17*t - 400)/3 Suppose p**3/4 + 101*p**2/4 + 593*p/2 - 696 = 0. Calculate p. -87, -16, 2 Solve z**5/6 + 41*z**4/2 - 33275*z**3/6 - 41*z**2/2 + 16637*z/3 = 0 for z. -254, -1, 0, 1, 131 Factor 4*v**5 + 4*v**4 - 292*v**3 - 580*v**2 - 288*v. 4*v*(v - 9)*(v + 1)**2*(v + 8) Find c such that 2*c**3/11 + 7110*c**2/11 = 0. -3555, 0 Factor -82*k**2 + k/2 + 5. -(4*k - 1)*(41*k + 10)/2 Find u such that 2*u**4 - 1574*u**3 + 233862*u**2 + 31557510*u - 31789800 = 0. -84, 1, 435 Factor -3*b**2 - 4590*b + 4593. -3*(b - 1)*(b + 1531) Factor f**3/5 - 57*f**2 - 1153*f/5 - 867/5. (f - 289)*(f + 1)*(f + 3)/5 Factor 2*h**4 + 10926*h**3 - 10928*h**2. 2*h**2*(h - 1)*(h + 5464) Factor -b**5 - 636*b**4 - 98548*b**3 + 819168*b**2 - 1658944*b. -b*(b - 4)**2*(b + 322)**2 Solve -2*c**5 - 72*c**4 - 488*c**3 + 2880*c**2 - 3200*c = 0 for c. -20, 0, 2 Factor z**4 - 150*z**3 + 6713*z**2 - 75900*z - 82764. (z - 66)**2*(z - 19)*(z + 1) Determine t so that t**3/5 - 176*t**2/5 - 356*t/5 = 0. -2, 0, 178 Factor 162*h**4 - 96*h**3 - 3382*h**2/9 - 1444*h/9. 2*h*(h - 2)*(27*h + 19)**2/9 Solve -2205*j**2 + 8810*j + 40 = 0 for j. -2/441, 4 Let -220*s**2/7 + 13436*s/7 - 976/7 = 0. What is s? 4/55, 61 Find b, given that 2*b**2 - 71*b + 525 = 0. 21/2, 25 Factor -2*z**3 - 105182*z**2 - 1383169558*z - 6913218490. -2*(z + 5)*(z + 26293)**2 Suppose -j**4 + 24745*j**3 - 152917773*j**2 - 1992461945*j + 2145354974 = 0. What is j? -14, 1, 12379 Determine k, given that 12*k**3 + 8368*k**2 + 2788*k = 0. -697, -1/3, 0 Factor 2*z**5/9 - 160*z**4/9 + 314*z**3/9 - 52*z**2/3. 2*z**2*(z - 78)*(z - 1)**2/9 Factor -2*d**3/9 + 112*d**2/9 - 968*d/9 + 736/3. -2*(d - 46)*(d - 6)*(d - 4)/9 Find h such that -6*h**4 + 89330*h**3 - 29776*h**2 = 0. 0, 1/3, 14888 L
{ "pile_set_name": "DM Mathematics" }
n 0.8, 0, -5.674, 5? 0 What is the nearest to 2/13 in 4, 58/137, -1, 0.1? 0.1 What is the nearest to -0.1 in -3, -214/9, 0.0141? 0.0141 Which is the nearest to 7? (a) 20 (b) -1/4594 (c) -1 b Which is the nearest to 0? (a) 2 (b) -0.2 (c) 1425 (d) -22 (e) -1 b Which is the nearest to 6? (a) 2 (b) -3/2 (c) -0.161 (d) -2/3 (e) 22/3 e What is the closest to 0.5 in 0.005, 4, -28968? 0.005 Which is the closest to -127? (a) -1/3 (b) -140 (c) 0.4 b What is the nearest to 0.212 in -0.5, 9, -218, 0, -0.4? 0 Which is the nearest to -1.9? (a) 0 (b) 35 (c) -7 a What is the closest to -11/2 in 2.5, 14/59, 0.4, -0.4? -0.4 What is the nearest to -52/5 in 3.6, 29/9, 3/7? 3/7 What is the nearest to 0.07033 in 2/9, 0.03, 6/65? 6/65 What is the closest to -1/2 in -2, -3, -2.6, -10, -27.8? -2 What is the closest to 21/5 in -2/9, -1981, 0.4? 0.4 What is the closest to -0.2 in -68, -5, -0.04? -0.04 Which is the closest to -7? (a) -6 (b) 909 (c) 4 (d) 0.5 a What is the nearest to 0.1 in -0.0845974, -3, 9/7, -5, 5, -1? -0.0845974 Which is the closest to 3? (a) -22 (b) 376 (c) -6 (d) 3 d What is the closest to -12 in 0.4, -3, -164/65, 1, -1/2? -3 Which is the nearest to -614/9? (a) 1 (b) -3/5 (c) 1/6 (d) 9058 b What is the nearest to -3135670 in -3, 0.2, -2? -3 Which is the closest to -6/31? (a) -2 (b) 374 (c) -1/2 (d) -3 (e) 3 c What is the nearest to 1/2 in -439, -0.485, 0.2? 0.2 What is the closest to 0.2 in 93, 30, -1.7, -27? -1.7 What is the closest to -2 in -2/9, 72/367, 2, 7, -9? -2/9 What is the nearest to -8 in 28, 3, 1/334? 1/334 What is the nearest to -19/56709 in 0, -0.3, -2/9, -5, 0.4? 0 Which is the closest to -1? (a) -0.06 (b) 19/5 (c) 1.6 (d) 63 a Which is the nearest to 5? (a) 9 (b) -1/4 (c) 2/7 (d) 9/4 (e) 0.4 d What is the closest to -1 in 3.6, -4, -3/7442? -3/7442 What is the closest to -0.264 in -0.4, -0.2, -2/33, 76, -3? -0.2 What is the nearest to 0 in -1369, -4, -35262? -4 Which is the nearest to 2975? (a) -13/4 (b) 384 (c) -0.2 (d) -5 b What is the closest to 0.1 in 23/2, -276060, 2, 1, 5? 1 Which is the closest to 5? (a) 0 (b) 813 (c) 0.3 (d) -255 (e) -9/7 c What is the closest to 0 in 1, 2/37, -6749, 2/5, 7, 0? 0 Which is the closest to 7? (a) -3/4 (b) 2 (c) -49/10 b Which is the nearest to 1? (a) 20 (b) 0 (c) -0.2 (d) 0.06 (e) 1/4 (f) -4/151 e Which is the nearest to -1/2? (a) -1/2 (b) 2/21 (c) 10 (d) -1.726 (e) -0.061 a Which is the closest to 0? (a) -2/19 (b) -54 (c) -2/13 (d) 6 a Which is the nearest to 1? (a) -0.1 (b) -0.107 (c) -5 (d) 0.2 (e) 1 (f) -172.45 e Which is the closest to 1/2? (a) 1 (b) 683848 (c) -5 (d) -1/6 a Which is the nearest to -22/5? (a) -3 (b) -1 (c) -5 (d) 9 (e) -8 (f) -1831 c Which is the nearest to 0.1? (a) 3 (b) 0.4 (c) 1/23 (d) -0.002 (e) 7 c Which is the closest to 2/9? (a) -0.4 (b) 0.06 (c) -2106 (d) -2/9 (e) 2/11 e Which is the closest to 3? (a) 2/21 (b) 3457 (c) -1/4 (d) -5 (e) -0.3 (f) -0.1 a Which is the closest to -2/33? (a) 0.01 (b) -1/3 (c) 0.08 (d) 4 (e) 2 a What is the closest to 0.2 in 0.09, -33967, 131? 0.09 What is the closest to -0.13 in 1/8, -4, 217, -2? 1/8 What is the closest to 12677 in 26, 5, 166? 166 Which is the closest to 2? (a) 33 (b) 2/20069 (c) -3/2 b Which is the nearest to -6? (a) -2/15 (b) -2/9 (c) 4 (d) -23/11 (e) 590 d Which is the closest to -0.1? (a) 0.5 (b) -15/314 (c) 4 (d) -3/2 (e) 3/2 b What is the nearest to -38523 in 0, -2/23, -4/7, 3, -0.4? -4/7 Which is the nearest to -0.013? (a) 6/11 (b) -2/5 (c) -5 (d) -3/5 b What is the closest to -4012339 in -0.01, -5, -1, -2/5? -5 What is the closest to 0 in -9.5, -3, 2, -10, 296? 2 Which is the nearest to 887614? (a) 0 (b) 4/3 (c) -2 (d) -3/8 b Which is the closest to 1/3? (a) 0.3 (b) -8 (c) 38 (d) 2/89 (e) -1.5 a What is the nearest to 2 in -0.163, -0.5, -0.2, 3, 4, -1.66? 3 What is the nearest to 4878 in -0.1, -6/5, 0, 0.8, -0.3? 0.8 What is the closest to -0.1 in -2/5, -420/11, 6, -1, -4? -2/5 What is the nearest to -14572 in 19, 2, 1/9? 1/9 Which is the nearest to 2? (a) 2/31 (b) 0.61 (c) 2/5 (d) -17/6 (e) -3 b Which is the nearest to 605? (a) 2/7 (b) -0.3 (c) -28 (d) -0.04 (e) 1 (f) 0 e What is the nearest to -1 in 2, 310.8, -0.1, 0.22? -0.1 What is the nearest to -84 in 6, -0.5, -5, 5, -0.1? -5 What is the nearest to 20 in 61, 1, 3, -4? 3 Which is the closest to 11? (a) -6 (b) 2/271 (c) -2/9 b What is the nearest to -0.3 in 0, -7299, 126? 0 Which is the nearest to -39? (a) 7.3 (b) -3/5 (c) 2/205 (d) 1 b Which is the nearest to -2/11? (a) -22047 (b) -3.8 (c) 0.1 (d) -2/21 (e) -2/5 (f) -1/3 d What is the closest to -1763/36 in 0.365, 2, 3? 0.365 Which is the closest to -0.353? (a) 2/11 (b) 1 (c) 2 (d) 17 a Which is the closest to -0.1? (a) -15/169 (b) -0.4 (c) -173 (d) -0.05 a What is the closest to 9/2 in 0.051, -0.1, -24.65, -1? 0.051 Which is the closest to 2/33? (a) 2/13 (b) -9 (c) -472 (d) 7 a Which is the nearest to 2? (a) 2/17 (b) -67 (c) 2 (d) 0.4 (e) 6.7 c What is the closest to 0.3 in 3, 1/5, -0.03, 444, 24? 1/5 What is the closest to 20533.512 in -10, -2/5, -0.2? -0.2 Which is the nearest to 2/5? (a) 9/2 (b) -0.2 (c) -5 (d) 5 (e) 12/1639 e What is the closest to 1/4 in 0.09, -43, 8, -50? 0.09 What is the nearest to -0.1 in 10, 3, -0.4, 3168, -5? -0.4 What is the nearest to 0.1 in -4/5, 0, 33, 5.9, 1/7? 1/7 Which is the closest to 0.26422? (a) -0.4 (b) -10 (c) 0.4 c What is the nearest to -5 in 13939, 1/7, 51? 1/7 What is the nearest to -5792 in 3, -1, -11, -4? -11 What is the nearest to 0.2 in 4, 1/5, -1, -27, -54/13? 1/5 Which is the nearest to 2/7? (a) -19 (b) 5665 (c) 142 a What is the closest to 4 in 1, -6090, -0.1, -122, 4? 4 What is the closest to -163.39 in 2/33, -68, -0.2? -68 What is the closest to 0.1 in -2, -232, -65, -0.5, -0.2? -0.2 Which is the closest to -1? (a) 0 (b) 0.4 (c) -11788.62 (d) -4 a Which is the nearest to -5? (a) -130 (b) 1.48 (c) -2 (d) -0.4 c What is the nearest to -0.17 in 0.1, 12, 3/1157? 3/1157 What is the nearest to 6 in 2/15, 0.03, -0.14, -1142? 2/15 What is the closest to -2/5 in -897, -2/11, 9, -0.02, -2/7, -6/5? -2/7 Which is the closest to -19? (a) -0.1 (b) 2/7 (c) -7 (d) 0.1 (e) -199 c What is the closest to 9779 in 2/9, -3/2, -12, 0.07? 2/9 Which is the closest to -3334? (a) 0.6 (b) 0.5 (c) 2/3 (d) -2/5 (e) 4/3 d Which is the nearest to 0.3107? (a) 2/11 (b) 2.6 (c) -6 (d) 3 (e) -3 a Which is the nearest to -0.1? (a) -3 (b) -4/3 (c) 10602 (d) 0.5 d Which is the nearest to 0.2? (a) 3 (b) 180 (c) 68 (d) -5 (e) -3/4 e What is the nearest to -0.1 in 0.3, 458440, -14? 0.3 What is the nearest to 158.07 in -10/3, 2/7, 4, 1/3? 4 Which is the closest to -76? (a) -1 (b) -3 (c) 0.2 (d) -6 (e) -66 (f) 356 e What is the nearest to -2/7 in -3, -72/3137, 4, -0.5? -0.5 What is the nearest to 3/16 in 4, -196, -1120? 4 What is the nearest to 0.45 in -2, -0.02, 9, 5.9? -0.02 What is the nearest to -1763 in 0.5, 1511, 0.05? 0.05 What is the closest to 3/7 in -1, 100280, -1/9, -0.03? -0.03 Which is the nearest to -1? (a) -0.531 (b) -101/15 (c) -1 c What is the closest to -5674 in -2, -2/15, 5, -52? -52 Which is the closest to -8? (a) 40472 (b) 1/2 (c) 0 (d) -1 d Which is the nearest to 2.2? (a) 311 (b) -1 (c) 262 b Which is the closest to 4? (a) 2/7 (b) -2 (c) -3 (d) 67 a Which is the nearest to -337/4? (a) -290 (b) -8/7 (c) 0.04 b What is the closest to 1 in 2.6, 4/9, 299/22? 4/9 Which is the nearest to 84? (a) 154597 (b) 0.5 (c) -0.1 b Which is the nearest to 2? (a) 22 (b) -3 (c) -0.1 (d) 17 (e) 5 c What is the nearest to 160 in 0.0668, 2, 106? 106 What is the nearest to 3 in -0.2, 18, 7, 33, -2/3, 302? -0.2 Which is the closest to 0? (a) 0.5 (b) -1532 (c) 997/2 a Which is the nearest to 0? (a) -0.03 (b) -262164 (c) 5 a What is the closest to -4/15 in 2/5, 5, -0.188, 2/123, 2? -0.188 Which is the nearest to -1? (a) 0.3 (b) 1/588 (c) -495 (d) 2.9 b What is the closest to 3 in 3/4, 370, -2/61, 8, 0.2? 3/4 Which is the closest to -0.1? (a) -590 (b) 15.05 (c) 0.01 c Which is the closest to 0.2? (a) 2/10329 (b) -4 (c) -1310 a Which is the
{ "pile_set_name": "DM Mathematics" }
2*a**2*p + 1279440*a*p**2 What is the first derivative of 1754450*p - 862670? 1754450 What is the derivative of 97*x**4 - 50*x**2 + 972073? 388*x**3 - 100*x What is the first derivative of -113433*k*n**2*p - 15*k*n**2 - 5*k - 11*n**2 + 5 wrt p? -113433*k*n**2 Differentiate 60252*t**2 + 4*t - 1004653. 120504*t + 4 What is the second derivative of -298*a**2*h*i - a**2*i - 2*a**2*n + a**2 + 3*a*h*i*n + 7*a*i - 59*h - 2*n wrt a? -596*h*i - 2*i - 4*n + 2 Find the second derivative of -d**5 + 9*d**3 - 58*d**2 - 62*d + 286 wrt d. -20*d**3 + 54*d - 116 Find the first derivative of 2*o**2 - 6779*o + 99892. 4*o - 6779 Differentiate 2*g**3 - 2*g**2 - 12655*g + 282885. 6*g**2 - 4*g - 12655 What is the second derivative of -22*b**4 - 2*b**3 - 112*b**2 - 2073*b - 2? -264*b**2 - 12*b - 224 Find the second derivative of -25*o**5 + 10160*o**2 + 391015*o. -500*o**3 + 20320 Differentiate 564387*b*k**3 + 783798*k**3 wrt b. 564387*k**3 What is the derivative of -v**2 + 258660*v - 254868 wrt v? -2*v + 258660 Find the second derivative of -v**5 + 338421*v**3 + 633*v - 144. -20*v**3 + 2030526*v What is the second derivative of 51*a**2*f**2*j + 10*a**2*f - 32*a**2*j - 4*a*f**2*j - 1928*f**2*j + 2*f wrt a? 102*f**2*j + 20*f - 64*j What is the second derivative of 29043*j**2*s**5 - 284*j**2 + 5*j*s**5 + j*s - 84*j - 3 wrt s? 580860*j**2*s**3 + 100*j*s**3 Find the second derivative of 137566*c**4*l - 20*c*l - 3674*c + l wrt c. 1650792*c**2*l What is the first derivative of 263420*c + 451390 wrt c? 263420 What is the third derivative of 39177*x**5 - x**2 - 515*x - 1? 2350620*x**2 What is the derivative of -2*a**4*d**2 + 106640*a*d**2 + 343409*d**2 wrt a? -8*a**3*d**2 + 106640*d**2 What is the second derivative of -266*p**2*w**4 + 53*p**2*w**3 + 32*p**2*w + 2*p*w + 516 wrt w? -3192*p**2*w**2 + 318*p**2*w Find the second derivative of d*m**2*n**2 + 274745*d*m**2*n + 2*d*n**2 - 725*m*n**2 - n**2 wrt m. 2*d*n**2 + 549490*d*n What is the second derivative of 120*p**3 + 80*p**2 - 1814*p + 2? 720*p + 160 Find the third derivative of 181038*g**4 - 846*g**2 - 172 wrt g. 4344912*g Find the second derivative of 16*r**3 + 5246*r**2 + 3*r + 111689 wrt r. 96*r + 10492 Find the second derivative of 304295*x**2 + 112*x - 1000. 608590 Find the third derivative of 2*i**3*x**3 - 17600*i**3*x - 24*i**2*x**2 + 10*i**2 - 13*x**3 wrt i. 12*x**3 - 105600*x Differentiate -31980*k*r**3 + 3*k*r**2 + 85750*r**3 + 6*r with respect to k. -31980*r**3 + 3*r**2 What is the second derivative of 3*f**5 - 921*f**4 - 215*f**2 - 610736*f? 60*f**3 - 11052*f**2 - 430 Differentiate -2*g**2*s + 431*g**2 + 713*g - 348552*s with respect to s. -2*g**2 - 348552 What is the second derivative of 261317*m**2 + 113106*m wrt m? 522634 Find the second derivative of -29330*p**3 - 2*p**2 - 123912*p. -175980*p - 4 What is the first derivative of 2*r**4 + r**3 - 313*r**2 - 199*r + 618229 wrt r? 8*r**3 + 3*r**2 - 626*r - 199 Find the first derivative of -46825*i**2*y - 44389*y wrt i. -93650*i*y Find the second derivative of -p**3 - 139*p**2 - 31560*p wrt p. -6*p - 278 Find the third derivative of -200*x**6 - 15*x**5 + 3*x**3 + 478*x**2 - 2*x + 27 wrt x. -24000*x**3 - 900*x**2 + 18 Find the second derivative of -364239*n**2 + 356008*n wrt n. -728478 Find the third derivative of r**3*z**3 - r**3*z**2 + r**3*z + 14874*r**3 - 4*r**2*z**3 + 1093*r**2*z**2 - r**2*z + 6*r*z**3 - 3*r*z wrt r. 6*z**3 - 6*z**2 + 6*z + 89244 Find the third derivative of -1085279*w**4 + 2*w**3 + 3153*w**2 - 3*w + 26. -26046696*w + 12 Find the second derivative of 407770*c**3 - 2*c**2 - 3051*c - 2. 2446620*c - 4 What is the third derivative of -119*j**6 + 23*j**5 - j**3 + 3*j**2 - 908? -14280*j**3 + 1380*j**2 - 6 What is the third derivative of -25495*x**5 + 48227*x**2? -1529700*x**2 Find the third derivative of 99*f**3*x**2 + 51*f**3*x + 16*f**3 + 2*f**2 - 8242*f*x + 8*x**2 wrt f. 594*x**2 + 306*x + 96 What is the third derivative of 104675*n**3 - 2357*n**2 + 4? 628050 What is the first derivative of 2119*p**3 + 40*p*z**2 - 71869*z**2 + 12*z wrt p? 6357*p**2 + 40*z**2 Find the second derivative of -1614*f**4 - 3*f**3 + 2*f**2 - 2572297*f. -19368*f**2 - 18*f + 4 What is the second derivative of -827378*k**4 + 18233*k + 2 wrt k? -9928536*k**2 Differentiate 602401*m**2 + 377356 wrt m. 1204802*m Find the second derivative of 1487079*q**2 - 4143*q + 148. 2974158 Find the second derivative of -93657*l**2*s + 2*l**2 - 4208*l*s + 20 wrt l. -187314*s + 4 What is the second derivative of -108032*f**5 + 12*f - 9689 wrt f? -2160640*f**3 Find the second derivative of 19*p**4 - p**3 - 2113*p**2 - 2*p - 1224552. 228*p**2 - 6*p - 4226 What is the derivative of -95*d*z - 483*d + 111441*z wrt d? -95*z - 483 Find the second derivative of 4093*s**2*y**4 + 4*s**2*y + 230*s*y + s - 2*y**4 + 4*y wrt y. 49116*s**2*y**2 - 24*y**2 What is the third derivative of -35748*l**3 + 70432*l**2 + 2*l wrt l? -214488 Find the third derivative of -4217*i**4 + 14*i**3 - 4*i**2 - i + 2206. -101208*i + 84 What is the derivative of 2*d*l**3*s - d*l**2*s - 62685*d*s + 122*l**3 + 2*l**2*s - 86*s + 1 wrt d? 2*l**3*s - l**2*s - 62685*s What is the first derivative of 40953*z - 22780 wrt z? 40953 What is the second derivative of 21436*g**2*i**2 + 44*g**2 - 2*g*i wrt i? 42872*g**2 Find the second derivative of -3436382*b**5 + 1121519*b + 2. -68727640*b**3 Find the first derivative of 86*c*w**3 + 1944*c*x - 23218*w**3 + 26*x wrt c. 86*w**3 + 1944*x Find the third derivative of 5*j**2*k**4 - j**2*k**2 - 997*j**2*k + 204*j*k**4 - 2*j + 19*k**2 wrt k. 120*j**2*k + 4896*j*k Find the first derivative of 62871*u**3 + 151202. 188613*u**2 What is the second derivative of -88*g**5*z - 3*g**3*z + 2*g**2 + 2*g*z + 2*g - 11855*z wrt g? -1760*g**3*z - 18*g*z + 4 What is the first derivative of -1523578*z**2 - 1531171? -3047156*z Find the third derivative of 6*b**4*l**3 - 3680*b**4*l - 147*b**2 - 126*b*l**3 wrt b. 144*b*l**3 - 88320*b*l Find the second derivative of 3*b**2*g*r - 78592*b**2*r + b*g*r + b*g + 9*g*r wrt b. 6*g*r - 157184*r What is the second derivative of -460038*n**3 - 192556*n? -2760228*n What is the third derivative of 65550*b**3*l**2 + 2*b**3*l*u**2 - 4*b**2*u - 2*b*l**2*u**2 + 90*b*l**2 - 13*u**2 wrt b? 393300*l**2 + 12*l*u**2 Find the third derivative of 300*x**5 - 31*x**3 - 132738*x**2. 18000*x**2 - 186 What is the first derivative of -41*n**4 + 161*n**2 + 13007 wrt n? -164*n**3 + 322*n What is the second derivative of 765*d**4 - 4*d**3 + 122*d + 172 wrt d? 9180*d**2 - 24*d What is the derivative of -4*y**3 - 12417*y - 932 wrt y? -12*y**2 - 12417 What is the second derivative of 2153837*n**2 - 15324*n + 12 wrt n? 4307674 Differentiate -995*r**3*y + 9*r**3 - 3*r - 11*y - 10 with respect to y. -995*r**3 - 11 What is the second derivative of 5*a**3*h**2 - 2*a**3*h*w + 3*a**2*h*w**2 - 6*a**2 - 6*a*w**2 - h**3*w**2 - 4372*h**3*w - 7*h*w**2 - 3*w**2 wrt h? 10*a**3 - 6*h*w**2 - 26232*h*w What is the derivative of -57*f**3*h + f**3 + 74317*f**2 - 183*f*h + f + 3*h wrt h? -57*f**3 - 183*f + 3 What is the second derivative of -4420*q**4 + 15120*q? -53040*q**2 Find the first derivative of -54437*l**2 + 338079 wrt l. -108874*l Find the first derivative of -37869*h - 403423 wrt h. -37869 Find the second derivative of -1967615*p**2 - 157*p - 3411 wrt p. -3935230 What is the first derivative of -53723*c*y + 4496*y wrt c? -53723*y Differentiate -3*n**2*x + 7867*n**2 + n - 35649*x with respect to n. -6*n*x + 15734*n + 1 What is the third derivative of 18683*t**6 + 500*t**2 + 2*t + 5? 2241960*t**3 Find the third derivative of 648*h*s**4 - 7*h*s**3 + 2*h + 2*s**4 - 66528*s**2 wrt s. 15552*h*s - 42*h + 48*s Find the second derivative of -6*f*g**4 - 129*f*g**2 + 42751*f - 4*g**5 + 4*g wrt g. -72*f*g**2 - 258*f - 80*g**3 Find the third derivative of -29942*t**3 + 133*t**2 + t - 1 wrt t. -179652 Find the second derivative of 78*c**5 + 2*c**3 - 20*c**2 - 177*c + 669. 1560*c**3 + 12*c - 40 Find the first derivative of -43*h**2*n**2 + 373*h**2*n - 2*h**2 - 91*h + n**2 - 598 wrt n. -86*h**2*n + 373*h**2 + 2*n Find the second derivative of 5*j**3*l**3 - 13*j**3*u - 1546*j**3 - 10*j**2*l**2*u - 2*j**2*l*u + 2*j*l**3 wrt l. 30*j**3*l - 20*j**2*u + 12*j*l What is the third derivative of -10*b**3*f*j**3*o + b**3*f - 440*b*
{ "pile_set_name": "DM Mathematics" }
- 25*k**2 - n + 3*k**3 = 0. -12, -1 Suppose 8 = 2*j + 2*y - 6*y, 0 = -4*y - 16. Let o be (20/8 + j)*-2. Factor -4*s**4 - 5/4*s + 9/4*s**5 - s**o + 9/2*s**2 - 1/2. (s - 1)**3*(s + 1)*(9*s + 2)/4 Let h(l) = l**3 + 6*l**2 + 7*l + 15. Let z be h(-5). Factor 40*y + 2 + 2*y**2 - 10*y + 22 + z - 1. 2*(y + 1)*(y + 14) Let j = 116301/50 + -2326. Let z(t) be the third derivative of 1/150*t**6 - 1/525*t**7 + 0*t + 14*t**2 + 0*t**4 + 0 + j*t**5 + 0*t**3. Factor z(l). -2*l**2*(l - 3)*(l + 1)/5 Suppose 34*g - 30*g - 12 = 0. Find v, given that 62*v**2 + 2*v**g - 13 + 130 + 224*v + 99 = 0. -27, -2 Suppose -12*t - 2*t = -98. Let q be (t - -3 - 12)*-4. Factor q - 2/3*o**2 + 8/3*o. -2*(o - 6)*(o + 2)/3 Let o(m) = -5*m**2 - 51*m - 73. Let p(t) = -t**2 + t - 3. Let f(x) = o(x) + p(x). Let f(z) = 0. What is z? -19/3, -2 Let b(p) = 10434*p - 20865. Let y be b(2). Find q such that 1/3*q**y + 5/3*q**2 + 0 + 2*q = 0. -3, -2, 0 What is u in -4/9*u**2 - 68/3*u - 2576/9 = 0? -28, -23 Let z(t) be the first derivative of t**5/20 - 5*t**4/12 + t**3/3 + 4*t**2 + 13*t + 122. Let o(g) be the first derivative of z(g). Factor o(r). (r - 4)*(r - 2)*(r + 1) Let c(b) = b**3 + 2*b**2 - b - 1. Let h = -154 + 153. Let p(s) = 1081*s**3 - 1315*s**2 + 242*s - 10. Let w(v) = h*p(v) - 2*c(v). Factor w(d). -3*(d - 1)*(19*d - 2)**2 Let l = 231058/7 + -33008. Factor -l*w**3 - 10*w - 50/7 - 22/7*w**2. -2*(w + 1)*(w + 5)**2/7 Let f(s) be the second derivative of -1 - 19*s + 25/102*s**4 - 169/17*s**2 + 1/170*s**5 + 143/51*s**3. Determine h so that f(h) = 0. -13, 1 Let w be (-594)/99 + (1/(-92))/(15/(-8300)). Let q(t) be the second derivative of 0 + 0*t**2 + 1/230*t**5 + 15*t - w*t**4 + 0*t**3. Factor q(j). 2*j**2*(j - 2)/23 Factor 1/2*y**4 - 5/2*y**3 - 23/2*y - 4 - 21/2*y**2. (y - 8)*(y + 1)**3/2 Let q(r) = r**3 + 7*r**2 + 5*r + 50. Let j be q(-7). Let h(l) = l + 4. Let p(z) = -3*z**2 - 369*z - 10503. Let u(a) = j*h(a) + p(a). Factor u(c). -3*(c + 59)**2 Let p(v) be the third derivative of 2/3*v**4 - 66*v**2 - 3/5*v**5 + 0*v**3 + 1/5*v**6 + 0*v + 0 - 2/105*v**7. Factor p(o). -4*o*(o - 4)*(o - 1)**2 Suppose 3*z + 4 = 4*p, -z - 2*z - 5*p + 32 = 0. Suppose -h = -2*h - 4*s + 4, -h = -s - z. Find f, given that 2 - 7*f + h*f**2 + 2 - 2*f + f = 0. 1 Let d(r) be the first derivative of 51 + 20/3*r**3 + 0*r**2 + 15/4*r**4 + 0*r - r**5. Factor d(c). -5*c**2*(c - 4)*(c + 1) Let z(k) be the first derivative of 5*k**7/84 - 5*k**6/12 + k**5 - 5*k**4/6 - 59*k - 34. Let y(s) be the first derivative of z(s). Let y(w) = 0. What is w? 0, 1, 2 Let r = 1278 + -1276. Solve 2/7*j**r + 242/7 + 44/7*j = 0 for j. -11 Let x(c) be the second derivative of 5*c**4/12 - 25*c**3/2 + 90*c**2 - 4877*c. Find o, given that x(o) = 0. 3, 12 Suppose 0 = -98*s + 69*s + 145. Let d(b) be the third derivative of -5/12*b**s + 4*b**2 + 1/42*b**7 + 0*b + 1/6*b**6 + 0*b**3 + 0 + 0*b**4. Factor d(z). 5*z**2*(z - 1)*(z + 5) Let j(g) be the third derivative of g**8/5040 - 2*g**7/315 - 11*g**5/30 + 20*g**2 - 1. Let s(h) be the third derivative of j(h). Factor s(d). 4*d*(d - 8) Let o = 2/138537 - -415607/277074. What is w in -w**2 - 11/4*w - o + 1/4*w**3 = 0? -1, 6 Factor -20*a**5 + 6*a**3 + 83*a**5 + a**3 - 65*a**5 - 2*a**4 - 3*a**3. -2*a**3*(a - 1)*(a + 2) Let l = 82727 - 413601/5. Factor -l*b - 2/5*b**2 + 36/5. -2*(b - 1)*(b + 18)/5 Suppose -10 = 2*u - 4*u. Solve 70*y**3 + 600*y**3 - 150*y**2 + 7*y - 288*y**u + 8 - 39*y - 208*y**4 = 0. -2, -2/9, 1/4, 1 Let p(a) be the first derivative of 70 + 2/21*a**3 - 10/7*a + 4/7*a**2. Factor p(n). 2*(n - 1)*(n + 5)/7 Let -5*q**4 - 13*q**3 - 4*q - 1/3*q**5 + 0 - 37/3*q**2 = 0. Calculate q. -12, -1, 0 Suppose 94*b - 95*b + 3*h = -8, -2*h = 4. Let o(p) = p**3 + 4*p**2 - 6*p - 3. Let u be o(-5). Suppose 9*l**u + 2*l**b + 15*l - 6*l**2 + 0*l = 0. Calculate l. -3, 0 Factor -1/5*h**2 + 0 - 118*h. -h*(h + 590)/5 Let l(r) be the third derivative of r**4/24 + r**3/6 - 11*r**2 - r. Let u = 1 - 4. Let p(d) = 4*d**3 - 24*d**2 - 3*d - 3. Let j(k) = u*l(k) - p(k). Factor j(h). -4*h**2*(h - 6) Let k(h) = -h**3 + 9*h**2 + 5. Let o be k(9). What is c in 5*c**2 + 25*c - 40*c**2 - 25 + o*c**3 + 0*c**3 + 30*c = 0? 1, 5 Suppose -50 = -3*o + 4*t, -2*t - 50 = -11*o + 7*o. Let a be 1 + (o/8 - 29/116). Factor 20/7*m + 8/7 + 12/7*m**a. 4*(m + 1)*(3*m + 2)/7 Let j(k) = -4*k**2 + 1. Let q(u) = -228*u**2 - 184*u - 904. Let w(f) = 56*j(f) - q(f). Factor w(m). 4*(m + 6)*(m + 40) Let n(u) = 5*u**3 + 125*u**2 - 269*u - 389. Let c(f) = 2*f**3 + 41*f**2 - 90*f - 129. Let h(x) = 8*c(x) - 3*n(x). What is q in h(q) = 0? -1, 3, 45 Let g be (68/30)/((-100113)/(-206115)). Factor -1/3*k**3 - g*k + 32/3 - 17/3*k**2. -(k - 1)*(k + 2)*(k + 16)/3 Let x(n) be the first derivative of -n**6/21 + 202*n**5/35 - 495*n**4/2 + 28314*n**3/7 - 71874*n**2/7 - 4591. Factor x(p). -2*p*(p - 33)**3*(p - 2)/7 Let l be ((-5556)/48615)/((-2)/35). Solve 9/2 - 15/4*p - 3/4*p**l = 0. -6, 1 Solve 5175/7*o + 14283/7 + 141/7*o**2 + 1/7*o**3 = 0. -69, -3 Let r = -106 - -103. Let v be (-1 - (r + 0)) + -2 + 2. Let -5 - 2*t**v - 10*t**2 - 9 + 28*t + 6 = 0. Calculate t. 1/3, 2 Let l be ((-3)/4)/((-27)/1206) - (-40)/16. Let t(f) be the first derivative of 6*f**2 - l*f - 1/3*f**3 - 3. Find j, given that t(j) = 0. 6 Let u = -1392 + 1416. Let f be (-5 + (0 - -3))*(-6)/u. Factor -1/6*l**2 - f + 2/3*l. -(l - 3)*(l - 1)/6 Let c(i) be the first derivative of i**5 + 0*i - 320/3*i**3 + 170*i**2 + 65/4*i**4 + 281. Factor c(j). 5*j*(j - 2)**2*(j + 17) Factor 177 - 66 - 85 + 18*m + 2*m**2 - 98. 2*(m - 3)*(m + 12) Determine l so that 10/9*l + 26/9*l**2 - 4/9 - 28/9*l**5 - 22/9*l**3 - 62/9*l**4 = 0. -1, 2/7, 1/2 Let g(v) be the third derivative of -2/45*v**5 - 1/36*v**4 - 1/504*v**8 + 16*v + 0 + 2/9*v**3 - 4*v**2 + 1/90*v**6 + 2/315*v**7. Solve g(h) = 0. -1, 1, 2 Let h(o) = -20*o + 900. Let j be h(45). Let t(v) be the third derivative of 0*v + 0*v**3 + 16*v**2 - 1/200*v**6 + 0*v**4 + 3/100*v**5 + j. Factor t(n). -3*n**2*(n - 3)/5 Let 54 - 1/2*n**3 - 54*n**2 + 1/2*n = 0. Calculate n. -108, -1, 1 Determine h, given that 26136*h - 924*h**2 + 49/6*h**3 + 0 = 0. 0, 396/7 Let g = -5/153613 + 1228959/1689743. Find k, given that 17/11*k**4 - 4/11*k**5 + 1/11 - 28/11*k**3 + 2*k**2 - g*k = 0. 1/4, 1 Let f(a) be the first derivative of 42/5*a**5 - 2*a**3 - 2*a**2 + 0*a - 4 + 10/3*a**6 + 5*a**4. Determine n, given that f(n) = 0. -1, -1/2, 0, 2/5 Factor 14 + 9*j**5 - 15*j**2 + 12*j**4 - 10*j**5 - 44*j**3 + 114*j**2 - 18*j**2 - 51*j - 11*j**2. -(j - 7)*(j - 2)*(j - 1)**3 Factor 3598 + 5*m**2 - 1515 - 3*m**2 - m**2 + 782*m - 1302. (m + 1)*(m + 781) Let g(q) be the second derivative of q**7/14 - 2*q**6/5 - 3*q**5/5 + 4*q**4 + 2794*q. Factor g(s). 3*s**2*(s - 4)*(s - 2)*(s + 2) Let o(w) be the third derivative of 3/92*w**4 + 1/690*w**5 + 0 - 51*w**2 + 0*w - 10/69*w**3. Determine p so that o(p) = 0. -10, 1 Let y(l) = -26*l**2 - 3944*l - 1973. Let p(v) = 12*v**2 + 1972*v + 986. Let d(s) = 5*p(s) + 2*y(s). Factor d(b). 4*(b + 246)*(2*b + 1) Let v(z) be the first derivative of z**4/28 - 139*z**3/21 + 272*z**2/7 - 540*z/7 - 1000. Let v(m) = 0. Calculate m. 2, 135 Find j such that -j**5 - 56 + 2662*j + 31*j**3 + 2491*j + 83*j**2 - 27*j**4 - 5183*j = 0. -28, -1, 1, 2 Let h(x) = 13*x**2 - 127*x - 92. Let z(s) = 62*s**2 - 634*s - 472. Let b(r) = -14*h(r) + 3*z(r). Factor b(u). 4*(u - 32)*(u + 1) Let q(a) = 3*a**2 + 38*a - 7. Let h(x) be the second derivative of x**4/12 + 13*x**3/6 - x**2 - x - 4. Let f(g) = 21*h(g) - 6*q(g). Factor f(k). 3*k*(k + 15) Find q, given that -1773*q + 957*q**3 + 127989 - 2*q**2 + q**5 - 128875 + 815*q**3 + 0*q**2 + 888*q**4 = 0. -886, -1, 1 Suppose 4*r - 9*r + 3*u + 20 = 0, -u - 20 = -5*r. Suppose -d**2 + d**3 + r*d**3 + 116*d - 116*d = 0. Calculate d. 0, 1/5 Let q(l) be the third derivative of -l**6/24 + 199*l**5/60 + 407*l**4/40 + 123*l**3/10 - 1417*l**2 + 2. Factor q(p). -(p - 41)*(5*p + 3)**2/5 Factor 0 + 51*a**2 - 3/2*a**3 - 96*a. -3*a*(a - 32)*(a - 2)/2 Suppose 135*n**2 - 818*n - 849*n + 10*n**3 + 52*n - 526 - 314 = 0. What is n? -21, -1/2, 8 Factor -26/3*m**4 - 726*m - 2750/3*m**2 + 554/3*m**3 + 0. -2*m*(m - 11)**2*(13*m + 9)/3 Let k = -260 + 261. Find j, given that -447*j + 445*j + 1 - k + j**2 - 3 = 0. -1, 3 Factor 1755675/4 + 3/4*k**2 - 2295/2*k. 3*(k - 765)**2/4 Suppose 175 =
{ "pile_set_name": "DM Mathematics" }
ny minutes are there between 3:13 AM and 4:13 AM? 60 What is 623 minutes after 11:58 AM? 10:21 PM What is 636 minutes before 3:58 PM? 5:22 AM How many minutes are there between 8:25 AM and 2:53 PM? 388 What is 539 minutes after 1:41 AM? 10:40 AM How many minutes are there between 12:00 PM and 8:01 PM? 481 How many minutes are there between 5:34 PM and 10:11 PM? 277 How many minutes are there between 5:37 PM and 11:01 PM? 324 How many minutes are there between 7:43 AM and 4:42 PM? 539 What is 564 minutes before 7:34 AM? 10:10 PM How many minutes are there between 7:01 AM and 10:07 AM? 186 What is 682 minutes after 6:13 AM? 5:35 PM How many minutes are there between 4:33 PM and 12:35 AM? 482 What is 419 minutes after 4:35 AM? 11:34 AM How many minutes are there between 1:50 AM and 8:31 AM? 401 How many minutes are there between 10:19 AM and 12:44 PM? 145 What is 405 minutes before 7:09 AM? 12:24 AM How many minutes are there between 5:05 PM and 4:02 AM? 657 What is 320 minutes after 10:14 PM? 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107 How many minutes are there between 11:20 PM and 4:15 AM? 295 What is 538 minutes before 9:55 AM? 12:57 AM What is 423 minutes after 5:01 PM? 12:04 AM What is 101 minutes before 9:07 PM? 7:26 PM How many minutes are there between 3:19 PM and 5:03 PM? 104 What is 458 minutes after 1:04 AM? 8:42 AM What is 421 minutes before 6:19 AM? 11:18 PM What is 12 minutes after 10:16 AM? 10:28 AM How many minutes are there between 4:12 PM and 8:51 PM? 279 What is 457 minutes before 3:53 PM? 8:16 AM How many minutes are there between 10:21 AM and 11:50 AM? 89 How many minutes are there between 5:19 PM and 10:15 PM? 296 How many minutes are there between 8:20 AM and 7:23 PM? 663 What is 39 minutes before 11:33 PM? 10:54 PM What is 367 minutes after 5:12 AM? 11:19 AM How many minutes are there between 11:41 PM and 8:48 AM? 547 What is 185 minutes before 2:59 PM? 11:54 AM What is 428 minutes after 3:35 PM? 10:43 PM What is 714 minutes before 2:51 AM? 2:57 PM How many minutes are there between 7:58 AM and 9:39 AM? 101 What is 627 minutes after 12:40 PM? 11:07 PM What is 33 minutes before 5:42 PM? 5:09 PM What is 414 minutes before 2:31 PM? 7:37 AM How many minutes are there between 8:19 PM and 1:11 AM? 292 How many minutes are there between 3:28 PM and 1:51 AM? 623 What is 254 minutes after 4:07 PM? 8:21 PM What is 145 minutes before 12:59 AM? 10:34 PM What is 237 minutes before 12:21 AM? 8:24 PM What is 304 minutes before 1:42 AM? 8:38 PM How many minutes are there between 8:15 AM and 4:26 PM? 491 What is 620 minutes before 3:03 AM? 4:43 PM What is 185 minutes after 2:31 AM? 5:36 AM How many minutes are there between 7:21 AM and 12:21 PM? 300 What is 156 minutes before 9:09 PM? 6:33 PM What is 445 minutes before 7:35 PM? 12:10 PM What is 400 minutes before 7:54 AM? 1:14 AM How many minutes are there between 4:46 AM and 11:55 AM? 429 How many minutes are there between 4:15 AM and 2:38 PM? 623 What is 700 minutes after 7:45 AM? 7:25 PM How many minutes are there between 3:20 PM and 10:32 PM? 432 How many minutes are there between 12:35 PM and 3:22 PM? 167 What is 165 minutes before 12:20 AM? 9:35 PM What is 107 minutes after 10:25 PM? 12:12 AM How many minutes are there between 9:30 PM and 8:40 AM? 670 What is 195 minutes before 6:51 PM? 3:36 PM How many minutes are there between 12:53 PM and 2:48 PM? 115 What is 462 minutes before 2:30 AM? 6:48 PM How many minutes are there between 12:34 AM and 12:16 PM? 702 What is 38 minutes before 3:47 AM? 3:09 AM What is 657 minutes after 6:37 AM? 5:34 PM How many minutes are there between 3:50 AM and 3:08 PM? 678 How many minutes are there between 2:38 PM and 10:48 PM? 490 What is 156 minutes before 9:40 PM? 7:04 PM What is 667 minutes after 2:09 AM? 1:16 PM What is 663 minutes after 3:13 AM? 2:16 PM How many minutes are there between 7:29 PM and 4:36 AM? 547 How many minutes are there between 4:59 AM and 8:59 AM? 240 How many minutes are there between 7:58 AM and 7:47 PM? 709 What is 620 minutes after 9:13 PM? 7:33 AM What is 429 minutes after 1:01 AM? 8:10 AM How many minutes are there between 2:25 AM and 6:35 AM? 250 How many minutes are there between 10:25 AM and 5:19 PM? 414 What is 401 minutes after 1:02 AM? 7:43 AM How many minutes are there between 10:20 AM and 6:13 PM? 473 How many minutes are there between 12:35 PM and 4:59 PM? 264 What is 110 minutes before 6:57 AM? 5:07 AM What is 194 minutes after 6:08 AM? 9:22 AM How many minutes are there between 12:53 AM and 7:04 AM? 371 How many minutes are there between 12:41 PM and 8:43 PM? 482 What is 556 minutes after 5:52 AM? 3:08 PM What is 535 minutes before 8:53 AM? 11:58 PM What is 719 minutes after 1:26 PM? 1:25 AM How many minutes are there between 6:06 PM and 12:46 AM? 400 How many minutes are there between 1:38 AM and 4:29 AM? 171 How many minutes are there between 11:58 AM and 2:01 PM? 123 What is 657 minutes after 6:08 PM? 5:05 AM How many minutes are there between 9:56 PM and 7:09 AM? 553 How many minutes are there between 12:59 PM and 9:04 PM? 485 What is 543 minutes after 5:27 AM? 2:30 PM How many minutes are there between 12:19 AM and 5:02 AM? 283 How many minutes are there between 4:01 AM and 10:40 AM? 399 How many minutes are there between 9:32 AM and 7:18 PM? 586 What is 82 minutes after 9:25 AM? 10:47 AM How many minutes are there between 9:26 AM and 8:56 PM? 690 What is 142 minutes after 7:03 AM? 9:25 AM How many minutes are there between 9:48 AM and 9:05 PM? 677 What is 517 minutes after 8:01 AM? 4:38 PM What is 186 minutes after 9:44 PM? 12:50 AM What is 680 minutes before 4:35 AM? 5:15 PM What is 298 minutes before 9:07 AM? 4:09 AM How many minutes are there between 6:43 PM and 12:37 AM? 354 What is 321 minutes after 7:40 PM? 1:01 AM How many minutes are there between 9:29 PM and 12:04 AM? 155 What is 42 minutes after 1:19 PM? 2:01 PM What is 662 minutes after 10:45 AM? 9:47 PM What is 502 minutes after 5:43 PM? 2:05 AM What is 253 minutes after 7:33 PM? 11:46 PM How many minutes are there between 4:18 PM and 3:46 AM? 688 What is 652 minutes before 6:56 PM? 8:04 AM What is 641 minutes before 2:21 PM? 3:40 AM What is 459 minutes after 10:55 PM? 6:34 AM How many minutes are there between 1:43 AM and 1:45 AM? 2 How many minutes are there between 8:20 PM and 5:10 AM? 530 What is 609 minutes after 3:56 PM? 2:05 AM What is 240 minutes after 6:39 AM? 10:39 AM How many minutes are there between 10:08 PM and 11:04 PM? 56 How many minutes are there between 1:55 AM and 10:20 AM? 505 How many minutes are there between 6:10 AM and 1:46 PM? 456 How many minutes are there between 9:13 PM and 10:49 PM? 96 How many minutes are there between 9:19 PM and 8:31 AM? 672 How many minutes are there between 8:51 PM and 3:29 AM? 398 What is 97 minutes before 2:16 PM? 12:39 PM How many minutes are there between 3:38 AM and 6:43 AM? 185 What is 492 minutes before 12:40 AM? 4:28 PM What is 618 minutes before 3:38 AM? 5:20 PM How many minutes are there between 9:46 PM and 7:33 AM? 587 How many minutes are there between 11:52 AM and 4:22 PM? 270 How many minutes are there between 3:47 PM and 2:17 AM? 630 How many minutes are there between 9:55 AM and 5:04 PM? 429 What is 596 minutes after 1:43 PM?
{ "pile_set_name": "DM Mathematics" }
(4). Let m = -3468 - -3439. Let g = m - p. Solve 2*d = 3*w - g*d - 2, 3*d - 22 = -4*w for w. 4 Suppose 32 + 2 = 16*c - 14. Solve -4*q = x - q + c, 3*x = q + 11 for x. 3 Suppose 4*d + 8 = 0, 2*d = 2*g - 3*d - 36. Solve -2*f + 5*u - 31 = -g, 3*f + 5*u = -2 for f. -4 Suppose -2*p = -u - 637, 4*p - 4*u - 1277 = -3*u. Let j = p - 315. Solve 2*t = 2*v - 0*v - 2, -j*t = -4*v + 6 for v. -1 Let o(b) = 3*b + 75. Let k be o(-20). Let u(z) = z**2 - 17*z + 35. Let f be u(k). Solve -2*s + 4*p = -0*s - 2, s + f*p = 15 for s. 5 Let z = 51 + 0. Let q = z + -47. Suppose -4*p + 3*h + 14 = -8, -3*h + 6 = 3*p. Solve -2*s + 4*s - p = -2*a, 3*s - 2*a = -q for s. 0 Suppose 43*b - 24*b - 38 = 0. Suppose -7*i + b*y - 10 = -10*i, -i + 3 = y. Solve -p + 1 = -s, -s - 4 = -i*s - 4*p for s. 0 Let u(a) = -9*a**2 - 286*a + 69. Let y be u(-32). Solve 0 = 2*g - 7*g - y*q - 10, g - 2*q = -2 for g. -2 Suppose -4*b + 12 = 0, -b = -3*j + 2*b. Suppose 7 = -p + 2*p + j*s, 0 = 3*p + 3*s - 15. Solve 5*y - 13 = 3*m - 3, 2*y + m - p = 0 for y. 2 Suppose 5*m = 4*t + 82, -m - 2*m - 4*t = -62. Let x = 20 - m. Suppose 2*q - 3*i + 0*i = -11, 5*q = -x*i + 20. Solve 5*u - 19 = -q*j, -2*u = u - 15 for j. -3 Let y(x) = x**2 + 25*x + 103. Let o be y(-5). Solve 4*t + 5 = l, 3*t = -3 - o for l. -3 Let m = 279 + -238. Suppose -47*t = -m*t - 30. Solve -3*d - p = 9 - 2, -t*p = 5 for d. -2 Let c(p) = -3*p**2 - 2*p + 6. Let l be c(0). Suppose 0 = 3*o + l*f, 5*f + 10 = 3*o + f. Solve w - 3 = 0, -o*g - 3*w = -0*w - 3 for g. -3 Let b be (-4070)/44*8/(-10). Suppose 3*x + 3 = 5*t, -77*x + b*x + 21 = 3*t. Solve r = -4*s + 6*s + 3, 0 = -r - x*s - 21 for r. -5 Suppose -19*a = -22*a + 3*p, 5*p - 12 = 2*a. Let c be 2 - (4/(-1) + 1). Suppose 7 + 5 = 4*v - 4*t, -c*t = -4*v + 12. Solve v*s = a*s - 4*b, 3*b = 0 for s. 0 Suppose -2*d + 7*d - 483 = -4*f, -396 = -3*f + 3*d. Let c = 132 - f. Solve 3*v - 4 = 4*l + 5*v, -5 = c*l + 5*v for l. -1 Let v(n) = -1028*n + 4119. Let k be v(4). Solve 0 = 4*s + 20, -8*w + 11*w - k = -s for w. 4 Let s be (27/15)/(924/(-120) + 8). Solve 3*j - 2*n - s = 0, 10 = -3*j + 8*j - n for j. 2 Suppose 3*k = 3*u + 6, 2*u = 4*k + 6*u. Let v be k/(-7)*(2 - (6 - -3)). Solve -w + s = -0*w + v, 0 = -5*w + 3*s + 1 for w. 2 Let q(n) = -7*n + 16. Let s = 243 + -243. Let p be q(s). Let c = 15 - 8. Solve 0 = -3*f - 2*m + c, 2*f - 2 = 2*m + p for f. 5 Let y = -18482 - -18502. Solve -y = 20*n - 21*n + 3*h, 20 = 5*n + h for n. 5 Let w(q) = 5*q**2 + 180*q + 2. Let j be w(-36). Solve j*l = 4*c - 5 + 11, 12 = -3*l - c for l. -3 Let h be (-28)/(-6)*1056/112. Solve 3*q - 41*l = -h*l - 24, l = -3*q - 14 for q. -3 Let z(i) = -i**3 + 25*i**2 - 35*i - 5. Let k(j) = 2*j**2. Let v(s) = -6*k(s) + z(s). Let o be v(9). Solve o*f - 4 = 2*n, -2*f + 4*f - 4*n = -4 for f. 2 Let t(f) = -4*f + 23. Let c(v) = -v**3 + 13*v**2 - 11*v - 8. Let z be c(12). Let w be t(z). Solve d + 2*r - 2 = r, -4*d - r - w = 0 for d. -3 Let z = 142 + -137. Let h = -346 - -349. Solve -z*r + h*o = o, -3*r + 3*o = 0 for r. 0 Suppose 5*z - 11 = 3*k, -2*z - k + 17 - 6 = 0. Solve 5*n - 5 = -5*y, 0 = z*y - 3*n - 5 + 29 for y. -3 Let b be (4 + 0 + 1)*1. Let h be (0 + -2)/(b/(-15)). Suppose 14 = 5*k - f, -38 = -4*k + 4*f - 46. Solve -h = 3*w - n - 24, 0 = -k*w + n + 23 for w. 5 Let r = 9 - 156. Let c be -16*(-1)/7*r/14. Let v = c - -27. Solve -2*o + 5 = v*z + 13, z - 4 = -4*o for o. 2 Let t be 39/(2/2) - 0/(-32). Suppose t*n - 168 = -3*n. Solve -n*k = -u + 12, 2*u - k - 3 = -2*u for u. 0 Suppose -5*z = -98 + 23. Let k = 33 - z. Solve -4*l + 2 = 5*y - k, 0 = 5*y for l. 5 Let m be (-20)/(-4) + -8 + 33. Let l be 185/m + (-2)/12. Suppose -l*g + 25 = -g. Solve -4*q - g*z = 41, 3*z = 2*q - z - 12 for q. -4 Let a(k) = -2*k**2 + 206*k - 601. Let f be a(100). Let q(i) = -3*i**2 - 4*i**3 - i - 1 + 1 + 1. Let n be q(f). Solve -4*v + 8 = 4*w, 0 = w - v + n*v - 6 for w. -2 Let g(j) = -42 - 17*j - 29*j**2 + j**3 + j**3 - 4*j**3. Let h be g(-14). Solve h = 3*q + 5*t + 4, 5*q - 3*t + 19 = t for q. -3 Let u be -2 - 3/2*-4. Let p(f) be the second derivative of f**4/6 + 5*f**3/6 - 19*f**2 + 87*f. Let m be p(-6). Solve -20 = u*o + 6*n - n, n = -m*o - 20 for o. -5 Let h = -118 + 120. Let q be 4/(-40)*h - (-80)/25. Solve -f + u - 3 = 0, 3*f + q*u - u - 16 = 0 for f. 2 Let z(q) = 160*q + 645. Let m be z(-4). Solve 3*w + 32 = m*d + 9, -16 = -5*d - 4*w for d. 4 Suppose 3*g + 5*m - 60 = 0, 9*g + 33*m - 36*m - 126 = 0. Solve l - 5*b = 16, g*l + 2*b = 17*l for l. -4 Let b be 24/(-294)*-28 - (-2)/28*-4. Let s = -4 - -4. Let w be 2 + s + 0 + 0. Solve -m = -2*k - 14, m - 22 = -b*m + w*k for m. 4 Let c = 2 - -10. Suppose 17*m - c = 73. Suppose -5*y = 25, 0 = -m*f - 2*y + 12 + 93. Solve -5*j + 2*d = 25, -4*d - f + 3 = 4*j for j. -5 Let l be 120 + (10 + -6 - 1). Suppose -12 = -127*k + l*k. Solve i - k*m = 7 - 0, -5*i + 5*m + 15 = 0 for i. 1 Suppose 17*v + 8 = 12*v - 4*f, 3*v + 4*f + 8 = 0. Solve -d + b - 4 = v, d + 12 = 6*d + 3*b for d. 0 Let d = 40 - 0. Suppose -11*a + d = -3*a. Suppose -2*y = 2*i - a*y - 41, 3*i - 66 = 3*y. Solve -3*h = 4*p - i, 0*h + 9 = 3*h for p. 4 Let t be (24/(-32))/(-2*2/16). Suppose -2*w + 4*v = -2, -13 = -w + t*v - 7*v. Solve w*c - 12 = 8, 4*c = -3*a + 1 for a. -5 Suppose -3*w - 15 = -114. Suppose -5*k = -5*n + 295, 5*n - 3*k = 3*n + 119. Let t = -53 + n. Solve 4*s - 5 = 2*h + 11, 4*h + t*s = w for h. 2 Let s = 357 - 355. Suppose 0*l - 5*c - 70 = -5*l, -s*c - 15 = -l. Solve -3*k + 5*j + 22 = 0, l = 3*k - 2*j - 3 for k. 4 Let i(w) = 9*w**2 - 1. Let j be i(-1). Let y(n) = -9*n - 105. Let c be y(-14). Let f be ((-1)/c - 5/(-15))*14. Solve 5*k + 11 = -3*s - s, -j = 4*k + f*s for k. -3 Let m(i) = -i**2 - 7*i - 9. Let k be m(-4). Solve 3*w + 6 = 5*w, -15 = 2*h - k*w for h. -3 Suppose 2*k = 11 + 1. Suppose -3*l = k*l. Solve 2*n + a = -n + 3, l = n + 2*a - 1 for n. 1 Let m = 1544 + -1542. Solve -4*u + 5*u + 1 = -m*y, -5*y = u + 7 for u. 3 Let x(w) = 3*w - 5. Let h be x(3). Suppose 4*c - 6 = 2*d, 3*d + 14 = -c - 23. Let s be 96/44 - (-2)/d. Solve s*i + i + y = 17, 5*y = -h*i + 30 for i. 5 Let x = 10880 + -10832. Solve 49*j - x*j + 10 = 3*s, -5*s - 2 = 3*j for s. 2 Let x(t) = -2*t**3 + 17*t**2 - t + 15. Let r be x(0). Solve 5*w + r = 0, -5*n + n + 5*w = -3 for n. -3 Let d(a) = -5*a + 117. Suppose 29 + 37 = 3*s. Let l be d(s). Solve 0 = 2*r - c + 1, 2*r + l = -r - 4*c for r. -1 Let s = 3877 - 3872. Solve -2*j = -6, -2*d = -0*j - s*j + 9 for d. 3 Suppose -4*l + 3*l - 4*c = 14, -3*l - 3*c - 78 = 0. Let b be (2/(-6))/(2/l). Suppose 28*m - 92 = -18*m. Solve u - b*k + 28 = 0, 4*u = m*k - 10 - 12 for u. -3 Let x = -1083 + 1099. Solve 2*p - x + 14 = 2*c, 5*p + 3 = -3*c for p. 0 Let k(i) = -13*i - 4. Let w be k(4). Let s be 17284/(-290) + 4/(-10). Let f = w - s. Solve 4*b = -r - 0*r + 19, 24 = -f*r + 4*b for r. -1 Let t(d) be the first derivative of 4*d**3/3 + 29*d**2/2 + 9*d - 31. Let o be t(-7). Solve 7*i - o*i - 20 = 0, -4*i + 22 = 3*b for b. 2 Let b(c) = 2*c + 2. Let s = -473 + 472. Let z be b(s). Solve z = 2*p + 6, -5*r - p = -23 + 6 for r. 4 Let b be (-12)/(-7) + (-1566)/(-189) + -8. Solve -5*t + b*u - 23 = 0, 3*t - 2*u + 15 = -2 for t. -3 Suppose -4*u - 5*k = 6, -u - 746*k + 12 = -747*k. Solve 2*v = u*x - 8*x + 10, 3*v + 5*x - 17 = 0 for v. 4 Let o(b) = b**3 + 3*b**2 + 5*b + 7. Let f be o(-3). Let q be -23 - 1 - f/(-2). Let y be (30/21 + -2)*q/4. Solve -y*k - 15 = 5*u, -3*k = -k for u. -3 Suppose 16 - 13 = r. Let b be r/36*-2 - (-127)/6. Let j(o) = -o**2 + 23*o - 36. Let f be j(b). Solve -18 = 4*y - 5*k, -4*y - f*k + k = -2 for y. -2 Let x = 75 + -228. Let g = x + 157. Solve g*l - 16 = 4*t, -3*t + l - 12 = 4*l for t. -4 Let i(r) = r**3 - 8*r**2 - r - 48. Let l be i(9). Suppose l*w = 18*w + 18. Solve w*n - 4*a + 20 = 0, 0 = -5*n + 4*a - 11 - 9 for n. 0 Suppose 8 = 3*p - 1. Let i(n) = n**2 - 22*n + 102. Let d be i(6). Let x be d + (-2 - -1 - 1). Solve 25 = -4*q + p*q + x*k, -q + k = 10 for q. -5 Let j = 237 + -175. Let h = 66 - j. Solve -3*c + 3 = -4*c + 2*p, -5*c + h*p = 3 for c. 1 Let i be 105/(-140) - (-1 - 43/4). Suppose 0 = -i*o + 4*o. Solve 6*y = y - v - 24, v - 1 = o for y. -5 Let x(z) = 3*z**2 + 64*z + 19. Let y be x(-22). Solve 0 = 4*t + 4*o, -y*o + 6 = -t - 66*o for t. 3 Suppose 71 = 5*s + 16. Suppose -4*t - s = k + t, -k - 3*t = 5. Suppose 1 = 4*w - 3*f - 9, -5*f
{ "pile_set_name": "DM Mathematics" }
+ -1)*-1). Which is the biggest value? (a) z (b) 0 (c) p a Let p = -185 - -186. Which is the third biggest value? (a) 0 (b) 0.4 (c) p (d) -1 a Suppose 41 = 2*k + 5. Suppose 5*t - 5*z + k = 3, -z + 12 = -4*t. Let m be 0 + (-1)/(t + 2). Which is the third biggest value? (a) 3/4 (b) 0.2 (c) m b Let p = -1.6 + 2. Let q = -3.92 + -0.08. Let w = -63 + 66. Which is the second biggest value? (a) q (b) p (c) w b Let k be (-2)/8 - 10/(-104). Suppose -9 = 3*d - 3*h, -3*h - h = 3*d - 26. Which is the third biggest value? (a) d (b) k (c) 2/7 b Let t = 1.9 - -2.1. Let p = t + -1. Let u = -38/5 + 256/35. Which is the third biggest value? (a) u (b) p (c) -4 c Let y = -6 - -4. Suppose 4*h + s + 3*s = 40, -40 = -5*h - 3*s. Which is the second smallest value? (a) -2/3 (b) h (c) y a Let s = 7 + -6. Let b = 3 + s. What is the third smallest value in -0.3, b, 5? 5 Suppose 0 = -5*h - 25, 3*u + 7 + 28 = -4*h. Which is the third biggest value? (a) u (b) -2/13 (c) 8 (d) -4 d Let h be (-10)/15*3 + 27. What is the third smallest value in -1, -1/8, h? h Let m = -6.1 + 5.6. Let h = -0.06 + 0.06. What is the third smallest value in m, 0.5, h? 0.5 Let i be (4/110)/((-1)/(-5)). Let u(v) = -3*v**2 + 2*v + 1. Let w be u(-1). What is the third biggest value in w, i, -5? -5 Let i(q) = -q**2 - 13*q - 21. Let f be i(-11). Which is the second biggest value? (a) 2 (b) 0.11 (c) f c Let q = 0.57 + 6.73. Let l = q - 7. Let y be 32/55 - 2/5. What is the third smallest value in -5, y, l? l Let y = 1.3 - 0.6. Let x = y - 2.7. Which is the third biggest value? (a) 0 (b) -0.3 (c) x c Let t be ((-2)/10)/(8/(-30)). Let u be ((-6)/150)/((-1)/3). Let i = 17/275 + u. Which is the smallest value? (a) -0.1 (b) t (c) i a Let v = -1596.9 - -1696. Let x = 104 - v. Let g = x + 0.1. Which is the third smallest value? (a) 0.4 (b) 1/3 (c) g c Suppose 3*t = -2*t + 2*n + 16, -2*t - n + 10 = 0. Let j = -184/485 + -2/97. Which is the smallest value? (a) 0.2 (b) t (c) j c Let m = -5 - -7. Suppose p + m + 3 = 0. Suppose 0*l + 5 = -5*l. Which is the second biggest value? (a) p (b) 0.4 (c) l c Let x = -12 + 6. Let q = -5.5 - x. Let r(s) = s**3 - s**2 + s + 4. Let u be r(0). What is the second smallest value in q, 2/9, u? q Let j = -60 + 66. Which is the third biggest value? (a) 1/5 (b) 0.1 (c) j b Let i be 10/25*(-100)/45. What is the biggest value in -2/5, -0.2, i? -0.2 Let u = 100 - 98. Let i = -0.2 - 0.2. Which is the smallest value? (a) u (b) i (c) -1 c Let u = -168 + 168. What is the biggest value in -1, u, 18? 18 Let v be ((-96)/(-30))/(1/5). Suppose 2*u - 3*u = 3*n - v, u + 9 = 2*n. Let s = 3.08 - 0.08. Which is the third smallest value? (a) s (b) -3 (c) u a Let y = -4 + 3. Which is the fourth biggest value? (a) -0.4 (b) 4/3 (c) y (d) 0.4 c Let b = -47 + 26. Let z be 6/21 + 13/b. What is the third smallest value in z, -4, 0.3? 0.3 Suppose 4*q + 0*q = i + 15, -i = 5*q - 12. Suppose -1 = 2*k + q. Let p be k/5 + (-29)/(-10). Which is the second biggest value? (a) -3/4 (b) p (c) -4/9 c Let q = -1.99 - 0.01. Let j = -1 - q. Let h = 0.8 - j. Which is the second biggest value? (a) 0.1 (b) h (c) -6/5 b Let g = 3.93 - -0.07. Let o = -51 + 50.7. Which is the second smallest value? (a) o (b) g (c) -7 a Let h = 0.26 + -4.98. Let k = 0.22 + h. Let r = -4 - k. What is the biggest value in -1, -4, r? r Let a = 3.5 + -4. What is the smallest value in a, 2/5, -1? -1 Let d = -12 + 16. Let q = 9 - 8.5. Which is the smallest value? (a) d (b) 1/3 (c) q b Let g be -4*((-1)/28)/((-1)/(-2)). Let r = -0.2 + 0.6. Which is the third biggest value? (a) g (b) 0.2 (c) r b Let h = 381 - 2291/6. Which is the third biggest value? (a) 0.3 (b) 0.2 (c) -0.4 (d) h c Let h = 0.7 + -5.7. Let w = -2 - 0. Let v be -1 - (196/(-110) + (-6)/(-10)). Which is the third smallest value? (a) h (b) w (c) v c Let u = -1.83 + -0.17. Which is the third biggest value? (a) u (b) -1/8 (c) 0 a Let o = 64.8 + -65. Which is the biggest value? (a) -1 (b) 1/6 (c) -4 (d) o b Let y be (-8)/(-6)*15/(-8). Let f = -7 + 11. Which is the third biggest value? (a) y (b) f (c) 2/9 a Let v = 0.2 - -0.8. Let h be ((-4)/(-8) + -2)/15. Let r = 0.8 + -0.5. Which is the second biggest value? (a) h (b) v (c) r c Suppose 22 = 8*l + 6. Which is the smallest value? (a) 1/13 (b) l (c) -2 (d) 3 c Let i = -10 + 14. Which is the third smallest value? (a) -3/7 (b) -1/4 (c) i c Let f = -67/252 - -1/63. Let w = -3/59 + 183/118. What is the second biggest value in w, 0.1, f? 0.1 Let w = -28 + 28.17. Let d = w + -0.27. Let t = 159 - 1111/7. What is the second smallest value in t, -4, d? d Suppose 9 = -2*z + 3. Which is the second biggest value? (a) 0.5 (b) 8 (c) z a Let j = 0.09 + 0.04. Which is the third smallest value? (a) 2 (b) -2 (c) j a Let s = 53 + -50. What is the fourth smallest value in 0.3, -8, -4/3, s? s Let i = -5 - -3. Let j = i + 2. Which is the second biggest value? (a) j (b) -1 (c) 4 a Let u = -0.074 + -53.926. Let z = u - -54.53. Let s = z - 0.03. What is the biggest value in -0.4, s, 2/5? s Let r = -19 + 5. Let q = r + 13. What is the third biggest value in q, 4, 0.2? q Let c(d) = d**2 + 8*d - 16. Let h be c(-11). Suppose 3*x - 4*l + h = 0, -9 = 5*x - 2*l + 10. Let s be (-82)/88 + x/(-4). What is the biggest value in s, -5, 2? 2 Let x = 12/109 - 1886/15151. Let i = 2/2816705 - -732340798/3523697955. Let r = x - i. What is the second biggest value in r, -0.3, 4? r Let j be (-63)/(-28) + 1/(-4). Let k be ((-2)/2 - -2) + j. Let l = -174 + 2612/15. Which is the second biggest value? (a) l (b) -0.2 (c) k a Let p = 1/152 + -319/2280. Let v be (-5)/9 + (-4)/(-18). Which is the smallest value? (a) v (b) p (c) -3 c Let n = -49 - -37.5. Let r = n + 12. Which is the third smallest value? (a) -5/4 (b) -5 (c) r c Let n = -0.3 + 0.2. Let q = -1.7 - -0.7. Which is the smallest value? (a) q (b) -2/13 (c) n a Let x = 8.16 + -0.16. Let z = 8.4 - x. Let v = 0.5 + -0.3. What is the second biggest value in v, 2, z? z Suppose 3*z + 7 = -2. Let g(r) = r**2 + 5*r + 7. Let l be g(z). Which is the second smallest value? (a) 2/13 (b) -1 (c) l a Let g = 9.1 + -9.4. Let k = 6 - 9. What is the smallest value in 1, k, g? k Let b = 2.01 - 0.01. Let d = 0.4 - 0.7. Let v be ((-2)/(-10))/((-4)/(-8)). What is the biggest value in b, d, v? b Let l = 8 + -5. Suppose 0 = l*j - 0 + 6. Let c be 25/(-45)*j/(-5). What is the third smallest value in 0.5, 2/9, c? 0.5 Let p = 5.8 - 6. Which is the second smallest value? (a) 2 (b) 1 (c) p b Suppose 25 = u - 2*q - 2*q, -4*q = -5*u + 77. What is the biggest value in -0.1, u, -4? u Let p = 24 - 93/4. What is the second smallest value in -0.3, p, 0.4, 4? 0.4 Let y = 4 - 7. Let u be 2/6 - (-59)/(-9). Let s = u - -710/117. What is the second smallest value in -4, s, y? y Let s = -6.9 + -0.1. Let k = s - -7.1. Which is the smallest value? (a) 4/3 (b) -2 (c) k b Let y = 292/21 - 14. Which is the second smallest value? (a) y (b) 0.3 (c) 2 (d) 0.4 b Let j = -55.6 + 56. Which is the fourth biggest value? (a) j (b) 2/21 (c) 0.3 (d) 4 b Let a be (-18)/(-81) + 14230/(-126). Let j = -163 - -50. Let s = a - j. What is the third biggest value in -5, -0.3, s? -5 Suppose 35*l = 30*l + 20. Which is the second biggest value? (a) -0.5 (b) -1.2 (c) -1 (d) l a Let p = -15 + 10. Suppose -g - 3*n + 8 + 0 = 0, 0 = -5*n + 10. What is the second biggest value in -3, g, p? -3 Let p be (-172)/(-104) + (-6)/4. Which is the third biggest value? (a) -6/37 (b) p (c) -2 c Let x = 0.05 - -2.95. Let p = 0.29 - 0.15. Let y = p - -0.36. Which is the third smallest value? (a) 2/7 (b) y (c) x c Let d = 1.07 - 0.07. Let k be (-2)/(-6) - 1/3. Let m be -3*6/99 + k. What is the third biggest value in d, -0.2, m? -0.2 Let q = 3/23 - -57/92. Which is the biggest value? (a) q (b) 0.2 (c) -5 a Let i be 38/78 + 6/(-18). Let v = -1.65 + 2. Let q = v - 0.05. Which is the second smallest value? (a) q (b) i (c) -1/9 b Let n = -31.1 + 33. Let w = -2.7 - n. Let d = w + 0.6. What is the biggest value in 4, d, 0.2? 4 Let g = 0.5 + 0. Which is the second biggest value? (a) -1 (b) g (c) 0 c Suppose -2*x - 2 = 4. Let z be ((-6)/(-27))/(1/x). Which is the smallest value? (a)
{ "pile_set_name": "DM Mathematics" }
-3*l + 7, -8 = -m*l - z + 8. Let k(q) = -4*q + 16. Let r be k(4). Solve 0 = -r*j - j + l for j. 5 Suppose -24*p + 32*p - 113*p = -1260. Solve -25*l + 91 = -p*l for l. 7 Suppose 119*z - 30060 = -13*z - 35*z. Solve 0 = -16*u + 52*u - z for u. 5 Let q(v) = 2*v**2 - 18*v + 18. Let c(d) = d**2 + 5*d + 2. Let w be c(-6). Let l be q(w). Solve -f = f + l for f. -1 Let r(m) = -4*m + 20. Let v = 93 + -7. Let p = -83 + v. Let z be r(p). Solve z*x = 7*x - 4 for x. -4 Let j be (-404 + 405)/(2/40). Solve -549*y + 545*y - j = 0 for y. -5 Suppose 0 = -3*n + 2*i - 4, -5*n + 35 = 24*i - 19*i. Solve n*m + 606 = 612 for m. 3 Suppose -39*l - 77 = -1520. Solve -6 = 40*f - l*f for f. -2 Let a(n) be the first derivative of -n**3/3 - 9*n**2/2 - 17*n + 33. Let j be a(-5). Suppose -4*s + 3*c = -j*s, -5*c = 5*s. Solve s = y + y for y. 0 Let j(z) = 765*z - 3797. Let c be j(5). Suppose 0*b + b - 10 = 0. Solve 3*w - c = b*w for w. -4 Let s(k) = 2*k**2 - 16*k + 7. Let b = 67 + -58. Let x be s(b). Suppose 0 = -5*y - 3*f + 37, 10 = y - 5*f + x. Solve -h - 9 = -y for h. -4 Suppose 0 = -3*i + 3*d - 9, -9 = -4*i - i - 3*d. Let j = 128 - 192. Let v = j + 70. Solve i*m + v = -3*m for m. -2 Suppose -m = 4*m, -5*l - m = -40. Let j be (l/16)/((-2)/(-8)). Suppose j*s + 0*h - 2*h - 22 = 0, 5*s + 4*h - 10 = 0. Solve -2 = -4*b + s for b. 2 Let b(i) = -6*i + 368. Let z be b(34). Let f = -144 + z. Solve -5*n - 15 = -f for n. 1 Let z = 2 + 1. Suppose 2 = 20*c - 18. Suppose z*w + c = 13. Solve 0 = -3*g + 2*g - w for g. -4 Let v = 16 + -13. Suppose 4*c - v*c - 2*n = 0, c = 3*n - 1. Suppose 0 = -z + 3 - c. Solve -w = 3 - z for w. -2 Suppose 5*u - q = 209, -57 = -u + 13*q - 9*q. Solve -u*n + 47*n + 6 = 0 for n. -1 Let n = -71 + 73. Let i be -5*n/(-5) - -9. Let c be (10/8)/(i/44). Solve -2*t = 3*t + c for t. -1 Let p be (-3)/(-2)*((-26488)/84)/(-43). Solve 0*x + 66 = -p*x for x. -6 Suppose -2*l = 2*n - 508, n = 3*l + 2*n - 768. Let q = 258 - l. Solve -20*m + q = -19*m for m. 1 Let l(j) be the third derivative of j**4/24 + 2*j**3/3 - 5*j**2. Let d(c) = c. Let r(w) = -2*d(w) + l(w). Let v be r(-8). Solve -4*x + v = -4 for x. 4 Suppose -487 - 523 = -101*k. Suppose 0 = 6*t + t + 35. Let w = -2 - t. Solve k = w*x - 5*x for x. -5 Suppose -4*f + 12 = -2*k, 0 = -7*f + 7*f + 6*k. Solve 8*z + f + 29 = 0 for z. -4 Suppose 3*j + 5 = -a, a - 3*j + 53 = 66. Suppose -4*u + 2*q = -36, 0*q = -5*u - 2*q + 45. Suppose 0 = 3*l - u, 0*k + 5*l = -2*k + 17. Solve a = -o - k for o. -5 Let n(w) = w**2 - 7*w + 16. Suppose c - 13 = -8. Let f be n(c). Let h(i) = i**3 - 5*i**2 + 5*i - 10. Let d be h(5). Solve f*g - g + d = 0 for g. -3 Let k = 22 + 68. Suppose 0*y + 5*y - k = 0. Let f = y - -7. Solve f = 4*n + n for n. 5 Let w = -32 - -32. Suppose w*h = h + h. Solve 4*d - 6 + 10 = h for d. -1 Let h = -673 - -675. Suppose 17*r - 15*r - 3 = -m, h*r = -4*m. Solve 5 = r*z + 15 for z. -5 Let h be 1*8/(-6)*(-72)/16. Suppose 0 = -3*l - 5*y + 15, 10 = 5*l + y - 15. Solve -l = -h*m + 7*m for m. -5 Let s(p) = -2*p**2 + 26*p + 31. Let h be s(16). Suppose 2*v - z + 193 = 71, -5*v - 312 = z. Let l = v - h. Solve -1 = l*d - 4*d for d. 1 Suppose -2*k = -2*o + 112, -161 = -4*o + 28*k - 33*k. Solve 53*j = 60*j + o for j. -7 Suppose d = -3*o + 76, 0 = d - 3*d + 2. Suppose 3*q + 174 + 477 = 0. Let j = 221 + q. Solve j*f = -f + o for f. 5 Suppose 0 = -5*g - 4*v + 18, -133 = -5*g - 5*v - 118. Solve 7*i = -g*i + 23*i for i. 0 Let r(w) = -w**3 - 4*w**2 - 3*w + 4. Let h(u) = u**2 - 4*u - 15. Let x be h(6). Let y be r(x). Solve -y*p = -7*p - 12 for p. -4 Let t be ((-3)/(-2) + -4)*16/10. Let l be t/9 - (0 + (-240)/54). Solve 0*m - l*m - 4 = 0 for m. -1 Let o be (-312)/(-56) + 6/14. Suppose 3*y - 4*a - 75 = -80, 5*y - a - 20 = 0. Solve o*l = y*l for l. 0 Let s = 76 + -76. Suppose s = 4*b - 4*m - 12, -4*m + 3*m + 1 = 0. Solve -7*g + b = -5*g for g. 2 Suppose -18*w + 19*w + 3*m + 6 = 0, -2*m = 4*w - 6. Suppose -3 = -46*u - w. Solve u = -4*t - 10 + 2 for t. -2 Suppose 3*r - 475 = 8*r. Let a be 3*-3*(r/45 + 1). Solve 3*d - a + 13 = 0 for d. -1 Suppose -10*r + 2*r = -32. Suppose -a - 3 = r*t - 7, -3*a = -12. Solve t = -2*n + n for n. 0 Let p(h) = 4*h**3 - 28*h**2 + 28*h - 15. Let v(a) = -a**3 + 9*a**2 - 9*a + 5. Let t(n) = -2*p(n) - 7*v(n). Let k be t(-8). Solve -69*w + 70*w = -k for w. -3 Suppose 1687 = -5*y + 3*k, 5*y + 18*k - 20*k = -1683. Let w = -332 - y. Solve 0 = -4*s + w - 23 for s. -5 Suppose -4*a = 4*v + 147 + 197, 0 = 5*v + 25. Let m be (-14)/(-119) - (-3 - (-2962)/34). Let c = a - m. Solve 8 = c*g + 2 for g. 2 Let b = -962 + 1111. Solve 116 = -11*g + b for g. 3 Suppose 21*x - 24*x + 1176 = 0. Let t = -362 + x. Solve -t + 10 = 5*k for k. -4 Let l be (48/(-9))/8*((-35)/(-14) + -4). Let p(y) = 4*y**3 - 3*y + 2. Let g be p(1). Solve 0 = g*i - 4*i + l for i. 1 Suppose 0 = z - 2*f + 544, 4*z = -5*f - 3441 + 1278. Let o = 567 + z. Solve 9*w = 14*w - o for w. 5 Let h = -26 + 54. Suppose 28 = -u + h. Let i be ((-3 - 0) + u)/(9/(-6)). Solve 0 = i*q - 6 for q. 3 Let k = -24 - -41. Suppose k = 9*u - 10. Suppose -6*l + l - 4*f - 6 = 0, 0 = l - 4*f - 18. Solve -u*s = l*s + 5 for s. -1 Suppose 53 - 44 = -9*v. Let b be ((-54)/(-81))/((-2)/24*v). Solve -3*r - 14 = -b for r. -2 Suppose -2*c + 23*c - 315 = 0. Let b be (14 - c)/((-1)/5). Solve b*r - 3 = 7 for r. 2 Suppose 74 - 842 = -2*n + 2*z, 5*n + z - 1920 = 0. Let v = 384 - n. Solve v = -3*a + 5*a - 6 for a. 3 Let t(h) = h**2 - 4*h + 24. Let i be t(17). Let c = i + -245. Solve -5*l = -c + 5 for l. -1 Let v = 23920 + -23917. Solve -959 + 977 = -v*j for j. -6 Suppose -2*u - 28*l = -26*l - 22, 0 = -3*u - l + 23. Suppose 0 = -2*o - 4, -8*t + u*t + 6 = 2*o. Solve f - t*f - 16 = 0 for f. -4 Let j(t) = 4*t + 110. Let m be j(-26). Suppose -11*k = -m*k. Solve 0 = -5*l - k*l - 25 for l. -5 Let u = -4158 - -4166. Solve 23*x = u - 31 for x. -1 Suppose -9*h + 9 = -0. Let w(v) = -v**2 - 1. Let q be w(0). Let o be 4 + h + 0 + q. Solve -o*l = l for l. 0 Let f be 1/(-3) + 3*(-40)/(-36). Suppose 4*g + 4*j = 6*j - 308, -f*g - 232 = -2*j. Let y be (-5 + g/(-16))*0. Solve y = z - 3*z for z. 0 Let x(r) = 6*r + 21. Suppose -8 = -4*w + 2*k, 27*k = -5*w + 29*k + 8. Let c be x(w). Solve 13*t - 18 = c for t. 3 Suppose -4*y + 86 = 46. Suppose 2*x - y = 0, -2*x = a - 3*x - 14. Let i = -4 - -4. Solve 5*l - 1 - a = i for l. 4 Let u = 151 + -145. Suppose -20 = -u*b + b + 5*q, -3*b + 4*q + 13 = 0. Let w(m) = -m**3 + 4*m**2 - 3*m + 4. Let h be w(3). Solve b*t + 2 = -h for t. -2 Suppose -73 = -4*n - 9. Suppose -q - 14 = -3*k, -5*q - n + 6 = 0. Solve -k*t + t = 6 for t. -2 Let z(s) = 3*s**3 - 13*s**2 + 5*s + 13. Let v be z(5). Suppose 7*p = v + 59. Solve -1 = 4*h - p for h. 5 Let x = -12535 + 12567. Solve 2*o + 210 = x*o for o. 7 Let i = -50 + 85. Let r be (-14)/i + (-4)/(-10). Solve -z = -r*z - 5 for z. 5 Let k be (-2)/8 + (-1796)/(-32)*2. Let n = k - 108. Suppose g - 5*w + 17 = 3*g, n*g = -3*w + 27. Solve 1 = -z + g for z. 5 Suppose -8*q + 11*q - 43*q = -2240. Solve 0 = 66*x - q*x + 60 for x. -6 Let l(n) = -n**3 - 4*n**2 - 7*n. Let m be l(-3). Suppose m = 3*w - 0*w. Let y be ((-18)/(-12))/(1/6). Solve -c - y = -w*c for c. 3 Suppose 5*x + 19 = 14, 2*n - 3*x = 1203. Suppose n*t - 12 = 594*t. Let b = -2 + 2. Solve b = -c - t - 2 for c. -4 Let k(i) = 3*i**2 + 15*i + 18. Let x be k(-4). Let z(v) = -v**3 - 5*v**2 + 4*v - 6. Let n be z(-6). Suppose 7*s - 4*s = n. Solve -s + x = 2*g for g. 2 Suppose -s - 2*i = 226, -5*s + 658 = -8*s + 4*i. Let x = s - -229. Solve -6*n + 5 = -x*n for n. -5 Let i be (-1 + 0)*6*(-25 + 511/21). Solve i*z + 17 = 21*z for z. 1 Let h be 333/33 + (-190)/2090. Solve h*c = 610 - 560 for c. 5 Let t = -7034 + 7117. Solve t*j = 54*j for j. 0 Let z(y) = -3*y**3 + 31*y**2 + 18*y + 79. Let q be z(11). Solve 0 = q*p - 44*p for p. 0 Suppose 10*m + 255 = 5*k + 12*m, 0 = -2*k + 2*m + 116. Solve -k = -6*w - 23 for w. 5 Let b be 135/5 + -4 + -2. Let r be b/(-6)*48/(-14). Solve 5*i + 7*i = -r for i. -1 Suppose 4706 = 102*o + 4298. Let q(x) = -x**2 - 4*x - 3. Let y be q(-3). Solve y*u - 12 = -o*u for u. 3 Let x = -759 + 762. Suppose -3*b = h - 2*h + 14, -5*b = 2*h + 16. Suppose 6*f = 60 + 6. Solve x*m = f - h for m. 3 Let v = -176 - -174. Let t be 0 + (v/2 - (-45)/9). Solve -12*a = -8*a - t for a. 1 Suppose -j + f = 3, 3*f = -1 + 16. Sup
{ "pile_set_name": "DM Mathematics" }
7, 229? 231 What comes next: -145, -137, -135, -145, -173, -225, -307, -425? -585 What is the next term in 73, 154, 247, 358, 493, 658, 859, 1102? 1393 What comes next: -7, -2, 5, 14, 25? 38 What comes next: 615, 616, 617? 618 What comes next: -23, -16, -9, -2? 5 What is the next term in -7480, -7481, -7482, -7483, -7484? -7485 What is the next term in 1243, 1266, 1303, 1360, 1443, 1558, 1711? 1908 What is next in 54, 102, 136, 150, 138, 94? 12 What comes next: -161, -318, -467, -602, -717, -806? -863 What is next in 10291, 10293, 10297, 10303, 10311, 10321, 10333? 10347 What is next in 476, 477, 478, 479? 480 What is next in -91, -82, -73, -64, -55? -46 What is the next term in 200, 204, 210, 218, 228? 240 What is next in -5, 5, 15, 19, 11, -15, -65? -145 What is the next term in -1369, -1370, -1371, -1372? -1373 What comes next: 285, 308, 339, 372, 401, 420, 423? 404 What is the next term in 178, 357, 536? 715 What is the next term in 58, 120, 182? 244 What comes next: 10, 11, 12? 13 What comes next: 36, 33, 16, -21, -84, -179, -312? -489 What is next in 115, 111, 107, 103, 99, 95? 91 What is next in 30183, 30179, 30173, 30165, 30155, 30143, 30129? 30113 What is next in 0, 105, 274, 501, 780, 1105, 1470? 1869 What is next in 109, 223, 341, 463, 589, 719? 853 What is the next term in 210, 419, 628? 837 What is the next term in 37, 65, 109, 175, 269? 397 What is the next term in -404, -1623, -3656, -6503, -10164, -14639? -19928 What is the next term in 5, -35, -101, -193, -311, -455, -625? -821 What is the next term in -63, -59, -55, -51, -47, -43? -39 What comes next: 95, 39, -51, -169, -309, -465? -631 What comes next: -13, -39, -79, -139, -225, -343, -499, -699? -949 What is the next term in 938, 1878, 2818, 3758, 4698, 5638? 6578 What is the next term in 1, -16, -47, -92, -151, -224, -311? -412 What is next in 292, 280, 260, 232? 196 What is the next term in -67, -174, -323, -514, -747? -1022 What is next in -139, -277, -415, -553, -691? -829 What comes next: 51, 46, 43, 42, 43? 46 What comes next: -131, -142, -151, -158, -163? -166 What is the next term in 307, 321, 343, 373, 411, 457? 511 What is next in -113, -228, -343, -458? -573 What comes next: -411, -820, -1231, -1644? -2059 What is the next term in 206, 421, 638, 857, 1078, 1301, 1526? 1753 What comes next: 7, -2, -17, -38, -65, -98, -137? -182 What is next in -388, -775, -1160, -1543, -1924, -2303? -2680 What comes next: 187, 210, 269, 382, 567, 842? 1225 What is the next term in 61, 74, 55, -2, -103, -254, -461, -730? -1067 What is the next term in -35, -77, -155, -287, -491, -785? -1187 What comes next: -16, -50, -142, -322, -620, -1066, -1690, -2522? -3592 What is next in 881, 1747, 2615, 3485? 4357 What comes next: -23, -3, 31, 85, 165, 277, 427? 621 What is the next term in -954, -954, -956, -960, -966? -974 What comes next: 223, 448, 661, 856, 1027? 1168 What is the next term in -88, -85, -78, -67, -52, -33? -10 What comes next: 17, 37, 57? 77 What is the next term in 13, -33, -107, -209? -339 What is the next term in -174, -342, -508, -672? -834 What comes next: -45, -100, -167, -252, -361? -500 What is the next term in 5, -76, -301, -742, -1471? -2560 What comes next: -225, -242, -259, -276, -293? -310 What is next in 50, 37, 20, -1, -26, -55, -88? -125 What is next in -150, -188, -298, -516, -878, -1420? -2178 What comes next: -15, -20, -19, -12, 1? 20 What is the next term in 100774, 100776, 100780, 100786, 100794, 100804, 100816? 100830 What is next in -272, -287, -316, -365, -440? -547 What comes next: -1128, -1132, -1136, -1140, -1144, -1148? -1152 What is next in -56, -223, -498, -881, -1372? -1971 What is the next term in 4655, 4654, 4653, 4652, 4651, 4650? 4649 What is next in -299, -311, -337, -383, -455, -559, -701? -887 What comes next: 110, 114, 120, 128? 138 What is the next term in -153, -308, -463? -618 What comes next: -123, -125, -127, -129, -131? -133 What is the next term in 168, 679, 1524, 2697, 4192, 6003, 8124, 10549? 13272 What is next in 300, 304, 308, 312? 316 What is next in -383, -769, -1155? -1541 What comes next: -111, -463, -1051, -1875, -2935? -4231 What comes next: 292, 290, 286, 280, 272? 262 What comes next: 226, 226, 216, 190, 142, 66? -44 What is the next term in 67, 84, 105, 130? 159 What is the next term in -25, -14, -13, -28, -65? -130 What is next in 616, 632, 672, 748, 872, 1056? 1312 What is next in 390, 778, 1166, 1554, 1942? 2330 What is next in 821, 818, 817, 818? 821 What comes next: -28, -66, -96, -112, -108, -78? -16 What comes next: -59, -89, -145, -233, -359, -529, -749, -1025? -1363 What is next in 41, 79, 117, 155, 193? 231 What is the next term in 52, 42, 26, 4, -24, -58? -98 What comes next: 370, 374, 368, 346, 302, 230? 124 What comes next: 155, 335, 531, 749, 995, 1275, 1595, 1961? 2379 What is the next term in -34, -142, -400, -874, -1630, -2734? -4252 What is next in 13, 15, 7, -17, -63, -137, -245? -393 What comes next: 191, 307, 423, 539, 655? 771 What is the next term in -169, -341, -513, -685, -857, -1029? -1201 What is next in 10, 134, 340, 628, 998, 1450, 1984? 2600 What is next in -488, -1962, -4414, -7838, -12228? -17578 What is the next term in -318, -1327, -3010, -5367? -8398 What is next in -16151, -32300, -48449, -64598? -80747 What is the next term in 46, 95, 144, 193, 242, 291? 340 What is next in 10, 17, 22, 25, 26, 25? 22 What is next in -8, -33, -78, -143, -228? -333 What comes next: 228, 467, 720, 993, 1292? 1623 What is the next term in -19, -24, -29, -34, -39, -44? -49 What is the next term in 8153, 16300, 24445, 32588, 40729? 48868 What is next in 2032, 2028, 2020, 2008, 1992? 1972 What comes next: 581, 596, 611? 626 What is next in -22, -35, -70, -139, -254, -427, -670, -995? -1414 What comes next: 74, 79, 96, 131, 190? 279 What is next in 578, 588, 610, 650, 714, 808, 938? 1110 What is next in -82, -87, -96, -109? -126 What comes next: 75, 291, 651, 1155, 1803, 2595? 3531 What is the next term in -66, -117, -172, -231, -294, -361, -432? -507 What is next in 114, 220, 336, 468, 622, 804, 1020, 1276? 1578 What is next in -469, -941, -1413, -1885, -2357, -2829? -3301 What is next in -441, -868, -1295, -1722, -2149, -2576? -3003 What comes next: -20, -35, -74, -149, -272, -455, -710? -1049 What is next in 8, 118, 420, 1010, 1984, 3438, 5468, 8170? 11640 What is the next term in -127, -139, -159, -187? -223 What comes next: 27, 40, 57, 78, 103, 132, 165? 202 What is the next term in 27, 54, 73, 78, 63, 22, -51? -162 What is next in -16336, -32672, -49008? -65344 What comes next: 44, 35, 24, 11, -4? -21 What is the next term in 41, 38, 33, 26, 17? 6 What comes next: -11, -39, -87, -155? -243 What comes next: 20, 43, 82, 137, 208, 295, 398? 517 What is the next term in -198, -182, -166, -150? -134 What comes next: 73, 74, 85, 112, 161, 238? 349 What comes next: 11, 22, 29, 32, 31? 26 What is the next term in 53, 103, 153, 203? 253 What comes next: 74, 41, 10, -19, -46? -71 What comes next: -3548, -3547, -3546, -3545, -3544? -3543 What comes next: -25, -78, -133, -190, -249? -310 What is the next term in 40800, 40794, 40776, 40740, 40680? 40590 What is next in -84, -69, -58, -51, -48, -49, -54? -63 What is next in 58, 68, 76, 82, 86? 88 What comes next: 34, 36, 28, 4, -42, -116, -224, -372? -566 What is next in -99, -104, -109, -114, -119, -124? -129 What is the next term in -92, -58, -24? 10 What is the next term in -18, -48, -90, -144? -210 What is the next term in -177, -182, -187, -192? -197 What is the next term in -552, -1085, -1618, -2151? -2684 What is next in 77, 69, 55, 35, 9? -23 What is the next term in 25827, 25826, 25825, 25824? 25823 What is next in 111, 166, 207, 228, 223, 186? 111 What is next in -255, -264, -275, -288, -303, -320? -339 What comes next: 93, 358, 799, 1416, 2209, 3178? 4323 What is the next term in 700, 706, 714, 724? 736 What is next in -268, -269, -284, -319, -380? -473 What comes next: 19, 38, 53, 64, 71, 74, 73? 68 What is the next term in -6, -32, -76, -138, -218, -316, -432? -566 What comes next: 29, 46, 85, 158, 277, 454, 701? 1030 What comes next: 487, 500, 513, 526, 539? 552 What comes next: -126, -118, -112, -108, -106? -106 What is next in 18, 45, 94,
{ "pile_set_name": "DM Mathematics" }
93790.3 How many micrometers are there in 21/5 of a millimeter? 4200 Convert 0.6756368 millimeters to centimeters. 0.06756368 Convert 275.8706m to micrometers. 275870600 How many nanoseconds are there in 2960.779 weeks? 1790679139200000000 What is 0.4480288 milliseconds in seconds? 0.0004480288 Convert 2867.3031us to minutes. 0.000047788385 What is 13/4 of a century in months? 3900 Convert 1276.409 kilometers to meters. 1276409 How many months are there in thirty-two fifths of a millennium? 76800 What is 3/5 of a meter in centimeters? 60 What is 43.66542um in meters? 0.00004366542 What is 20.03723 litres in millilitres? 20037.23 How many months are there in twenty-seven fifths of a century? 6480 How many seconds are there in 1/45 of a day? 1920 How many micrometers are there in 0.2333822 meters? 233382.2 Convert 0.3654743l to millilitres. 365.4743 What is 41719.21l in millilitres? 41719210 What is 0.62422g in micrograms? 624220 How many days are there in 3.0135564 seconds? 0.000034879125 Convert 801258.5l to millilitres. 801258500 How many milligrams are there in 0.2405163 kilograms? 240516.3 How many nanometers are there in 7173.309cm? 71733090000 How many millilitres are there in seven halves of a litre? 3500 What is seventy-four fifths of a micrometer in nanometers? 14800 How many millilitres are there in 6/25 of a litre? 240 How many grams are there in 3.483861mg? 0.003483861 What is three fifths of a gram in milligrams? 600 How many months are there in 23/6 of a decade? 460 Convert 5637.589l to millilitres. 5637589 What is 815777.1 years in decades? 81577.71 How many milligrams are there in 6681.415t? 6681415000000 What is one fifth of a litre in millilitres? 200 How many millilitres are there in 29/5 of a litre? 5800 Convert 0.0064226ml to litres. 0.0000064226 What is one quarter of a millennium in years? 250 What is 11/8 of a meter in millimeters? 1375 How many days are there in 1513.67481 nanoseconds? 0.000000000017519384375 Convert 27401.4um to meters. 0.0274014 How many milliseconds are there in 1/5 of a minute? 12000 What is 813.5544 micrograms in milligrams? 0.8135544 How many millimeters are there in seventeen halves of a meter? 8500 What is 96.31761mg in kilograms? 0.00009631761 What is nine tenths of a meter in centimeters? 90 What is 1931.344 millilitres in litres? 1.931344 How many tonnes are there in 3.429406g? 0.000003429406 What is 7681.832 litres in millilitres? 7681832 How many grams are there in seven quarters of a kilogram? 1750 How many meters are there in 1382.461 micrometers? 0.001382461 Convert 471555.5l to millilitres. 471555500 What is 1/36 of a week in minutes? 280 How many minutes are there in 27050.961 milliseconds? 0.45084935 What is three fifths of a litre in millilitres? 600 How many kilograms are there in fourty-three quarters of a tonne? 10750 Convert 2.546775g to nanograms. 2546775000 What is 27/4 of a microgram in nanograms? 6750 How many kilograms are there in eleven halves of a tonne? 5500 What is fifteen quarters of a gram in milligrams? 3750 How many grams are there in 1/20 of a kilogram? 50 How many millilitres are there in 17/2 of a litre? 8500 What is 52/5 of a meter in centimeters? 1040 How many grams are there in five quarters of a kilogram? 1250 What is 6353.293 millilitres in litres? 6.353293 What is 6/5 of a millennium in months? 14400 What is 193.4778 months in years? 16.12315 What is thirteen eighths of a minute in milliseconds? 97500 Convert 7.242417 centuries to millennia. 0.7242417 How many months are there in 1/5 of a millennium? 2400 How many milligrams are there in 87/4 of a gram? 21750 How many micrometers are there in 575029.8 millimeters? 575029800 How many centuries are there in 0.5273577 millennia? 5.273577 How many years are there in 13/5 of a decade? 26 Convert 6.838047 years to decades. 0.6838047 How many micrograms are there in fifty-seven halves of a milligram? 28500 Convert 1.138194 millimeters to nanometers. 1138194 What is 18/5 of a litre in millilitres? 3600 What is 25/4 of a tonne in kilograms? 6250 How many decades are there in twenty-seven fifths of a millennium? 540 What is 9/10 of a kilometer in meters? 900 How many millimeters are there in fourty-nine fifths of a centimeter? 98 What is seventy-five quarters of a litre in millilitres? 18750 What is 22/15 of a minute in seconds? 88 How many nanoseconds are there in 1/20 of a millisecond? 50000 What is 7/2 of a week in minutes? 35280 How many seconds are there in five quarters of a hour? 4500 How many seconds are there in 21/4 of a hour? 18900 Convert 59604.64 millilitres to litres. 59.60464 What is fourty-three halves of a tonne in kilograms? 21500 What is 50048.469 microseconds in days? 0.0000005792646875 What is 6/25 of a kilogram in grams? 240 What is 2570348.1 months in years? 214195.675 What is 268.95525 months in millennia? 0.0224129375 What is 9/14 of a week in hours? 108 What is five quarters of a meter in millimeters? 1250 How many millennia are there in 0.2276783 years? 0.0002276783 What is 6/5 of a millennium in years? 1200 Convert 6774.11 micrograms to grams. 0.00677411 What is 74.570823s in hours? 0.0207141175 How many nanometers are there in 3/25 of a micrometer? 120 What is 59/4 of a microgram in nanograms? 14750 What is 166.0899 litres in millilitres? 166089.9 What is fourty-four fifths of a minute in seconds? 528 What is 6/25 of a litre in millilitres? 240 What is 5/4 of a millennium in decades? 125 How many kilograms are there in 13/4 of a tonne? 3250 What is fifty-two thirds of a year in months? 208 How many minutes are there in ten thirds of a hour? 200 What is 3.144033 millennia in years? 3144.033 What is four thirds of a day in hours? 32 Convert 7877.394m to micrometers. 7877394000 What is 1/10 of a litre in millilitres? 100 How many hours are there in 2472599.7 minutes? 41209.995 Convert 4.065013 nanometers to millimeters. 0.000004065013 How many hours are there in twenty-nine thirds of a week? 1624 How many hours are there in 5/8 of a day? 15 How many years are there in seventeen quarters of a millennium? 4250 How many seconds are there in 13261.5 microseconds? 0.0132615 How many seconds are there in 7/3 of a minute? 140 Convert 4.258238 years to months. 51.098856 What is 31/2 of a millennium in decades? 1550 How many millimeters are there in 3/40 of a kilometer? 75000 How many micrograms are there in 13/5 of a milligram? 2600 How many micrometers are there in 24.49689nm? 0.02449689 Convert 4.814644 decades to millennia. 0.04814644 How many grams are there in 148121.2ng? 0.0001481212 What is one sixth of a hour in seconds? 600 What is 8/25 of a century in years? 32 What is two fifteenths of a week in seconds? 80640 Convert 31.93215 meters to nanometers. 31932150000 What is 11444.03 weeks in microseconds? 6921349344000000 How many minutes are there in 7/15 of a week? 4704 What is 741.6991ml in litres? 0.7416991 How many seconds are there in 23/6 of a minute? 230 What is 21/4 of a litre in millilitres? 5250 How many millimeters are there in twenty-one halves of a meter? 10500 What is one fifth of a century in decades? 2 What is 2.82084 tonnes in micrograms? 2820840000000 What is 267031.9 millennia in centuries? 2670319 Convert 2.719889ug to tonnes. 0.000000000002719889 How many millilitres are there in thirty-three fifths of a litre? 6600 What is 25/2 of a litre in millilitres? 12500 What is seventy-five halves of a century in decades? 375 How many millimeters are there in nineteen quarters of a meter? 4750 What is 6/25 of a meter in millimeters? 240 How many months are there in 6/5 of a millennium? 14400 How many years are there in 82730.99 centuries? 8273099 What is fourty-five halves of a litre in millilitres? 22500 How many milligrams are there in one quarter of a gram? 250 What is 49490.9m in kilometers? 49.4909 What is 0.3783437nm in kilometers? 0.0000000000003783437 How many tonnes are there in 6383.227ug? 0.000000006383227 How many days are there in 116892.585s? 1.3529234375 How many years are there in seven quarters of a millennium? 1750 How many millilitres are there in eleven tenths of a litre? 1100 How many minutes are there in 6/5 of a hour? 72 How many grams are there in one
{ "pile_set_name": "DM Mathematics" }
factors of 2749883? 2749883 List the prime factors of 316499. 316499 What are the prime factors of 434915? 5, 13, 6691 List the prime factors of 6663004. 2, 433, 3847 List the prime factors of 83541. 3, 27847 List the prime factors of 29275. 5, 1171 List the prime factors of 19390872. 2, 3, 31, 67, 389 List the prime factors of 7246249. 7246249 List the prime factors of 214096. 2, 13381 What are the prime factors of 2349584? 2, 146849 What are the prime factors of 3359620? 2, 5, 11, 15271 What are the prime factors of 222529? 193, 1153 What are the prime factors of 4746105? 3, 5, 7, 13, 19, 61 List the prime factors of 486943. 486943 List the prime factors of 2139070. 2, 5, 409, 523 List the prime factors of 9923257. 17, 229, 2549 List the prime factors of 5765720. 2, 5, 17, 61, 139 What are the prime factors of 1139143? 1139143 What are the prime factors of 585309? 3, 195103 List the prime factors of 6494602. 2, 23, 59, 2393 List the prime factors of 208063. 17, 12239 List the prime factors of 1121902. 2, 97, 5783 What are the prime factors of 2182447? 23, 94889 What are the prime factors of 204677? 11, 23, 809 What are the prime factors of 10209572? 2, 2552393 List the prime factors of 165849. 3, 59, 937 List the prime factors of 1209664. 2, 41, 461 List the prime factors of 100762. 2, 83, 607 What are the prime factors of 792786? 2, 3, 71, 1861 List the prime factors of 8540479. 8540479 List the prime factors of 7019564. 2, 1754891 What are the prime factors of 4669572? 2, 3, 41, 9491 What are the prime factors of 16577157? 3, 31, 178249 List the prime factors of 3947261. 31, 127331 What are the prime factors of 1392126? 2, 3, 67, 3463 What are the prime factors of 10084228? 2, 7, 11, 29, 1129 List the prime factors of 6486896. 2, 13, 2399 List the prime factors of 1924020. 2, 3, 5, 7, 509 What are the prime factors of 97788? 2, 3, 29, 281 What are the prime factors of 148257? 3, 17, 19 What are the prime factors of 824157? 3, 91573 What are the prime factors of 901432? 2, 7, 16097 List the prime factors of 198555. 3, 5, 7, 31, 61 What are the prime factors of 1672370? 2, 5, 7, 3413 List the prime factors of 2256886. 2, 17, 41, 1619 What are the prime factors of 144145? 5, 127, 227 What are the prime factors of 3511183? 13, 163, 1657 What are the prime factors of 2262917? 61, 37097 List the prime factors of 4086926. 2, 419, 4877 What are the prime factors of 2037687? 3, 679229 What are the prime factors of 514492? 2, 11, 1063 What are the prime factors of 375444? 2, 3, 10429 What are the prime factors of 10078948? 2, 11, 37, 41, 151 List the prime factors of 1825325. 5, 73013 What are the prime factors of 1877133? 3, 47, 13313 What are the prime factors of 613222? 2, 379, 809 What are the prime factors of 3276955? 5, 11, 59581 What are the prime factors of 12811745? 5, 2562349 What are the prime factors of 195064? 2, 37, 659 What are the prime factors of 446486? 2, 223243 List the prime factors of 142075. 5, 5683 List the prime factors of 5747261. 13, 442097 List the prime factors of 1607877. 3, 17, 31, 113 List the prime factors of 6224092. 2, 7, 222289 List the prime factors of 1376216. 2, 172027 List the prime factors of 2634425. 5, 167, 631 What are the prime factors of 137733? 3, 31, 1481 What are the prime factors of 837610? 2, 5, 83761 List the prime factors of 948601. 47, 20183 List the prime factors of 985362. 2, 3, 7, 29, 809 List the prime factors of 313125. 3, 5, 167 What are the prime factors of 1169004? 2, 3, 61, 1597 List the prime factors of 326199. 3, 227, 479 List the prime factors of 1229926. 2, 614963 List the prime factors of 195964. 2, 48991 What are the prime factors of 227761? 421, 541 What are the prime factors of 304433? 304433 What are the prime factors of 7727606? 2, 3863803 What are the prime factors of 30787092? 2, 3, 7, 31, 563 List the prime factors of 4695073. 4695073 What are the prime factors of 439527? 3, 11, 19, 701 List the prime factors of 174749. 174749 What are the prime factors of 16335722? 2, 13, 37, 16981 What are the prime factors of 43633511? 641, 68071 List the prime factors of 14325020. 2, 5, 43, 16657 List the prime factors of 2163218. 2, 101, 10709 List the prime factors of 28832845. 5, 683, 8443 List the prime factors of 24988. 2, 6247 What are the prime factors of 18984? 2, 3, 7, 113 List the prime factors of 25629. 3, 8543 List the prime factors of 31638. 2, 3, 5273 What are the prime factors of 336901? 336901 What are the prime factors of 52413? 3, 17471 List the prime factors of 26840980. 2, 5, 1342049 List the prime factors of 8606275. 5, 344251 List the prime factors of 3227823. 3, 119549 List the prime factors of 128943. 3, 14327 List the prime factors of 644318. 2, 37, 8707 List the prime factors of 238310. 2, 5, 23831 List the prime factors of 2435608. 2, 7, 23, 31, 61 What are the prime factors of 3092692? 2, 79, 9787 What are the prime factors of 366006? 2, 3, 61001 What are the prime factors of 136545? 3, 5, 9103 What are the prime factors of 4214681? 23, 183247 List the prime factors of 217724. 2, 13, 53, 79 List the prime factors of 246739. 246739 List the prime factors of 203916. 2, 3, 16993 What are the prime factors of 9760359? 3, 7, 67, 991 What are the prime factors of 4551800? 2, 5, 11, 2069 List the prime factors of 1031775. 3, 5, 13757 What are the prime factors of 208866? 2, 3, 7, 4973 What are the prime factors of 442661? 599, 739 What are the prime factors of 490105? 5, 7, 11, 19, 67 What are the prime factors of 1025462? 2, 229, 2239 List the prime factors of 15688292. 2, 43, 197, 463 List the prime factors of 4586150. 2, 5, 37, 67 List the prime factors of 5149390. 2, 5, 514939 What are the prime factors of 480487? 7, 83, 827 List the prime factors of 11861418. 2, 3, 1976903 List the prime factors of 514780. 2, 5, 7, 3677 List the prime factors of 8372560. 2, 5, 7, 14951 What are the prime factors of 5170867? 13, 397759 List the prime factors of 3071448. 2, 3, 29, 1471 What are the prime factors of 219073? 73, 3001 List the prime factors of 23173. 23173 List the prime factors of 4457524. 2, 1114381 List the prime factors of 17156. 2, 4289 List the prime factors of 165530. 2, 5, 16553 What are the prime factors of 17153830? 2, 5, 853, 2011 List the prime factors of 135327. 3, 79, 571 List the prime factors of 9280296. 2, 3, 61, 2113 What are the prime factors of 12559661? 661, 19001 What are the prime factors of 530713? 530713 List the prime factors of 1055081. 113, 9337 What are the prime factors of 1763948? 2, 440987 List the prime factors of 200695. 5, 11, 41, 89 What are the prime factors of 273924? 2, 3, 7, 1087 What are the prime factors of 17628101? 97, 263, 691 List the prime factors of 1161248. 2, 11, 3299 What are the prime factors of 251749? 29, 8681 List the prime factors of 633567. 3, 11, 73, 263 List the prime factors of 280766. 2, 79, 1777 What are the prime factors of 374012? 2, 93503 List the prime factors of 479009. 17, 19, 1483 List the prime factors of 1413880. 2, 5, 13, 2719 List the prime factors of 25823905. 5, 5164781 What are the prime factors of 4456015? 5, 107, 8329 List the prime factors of 397774. 2, 13, 15299 What are the prime factors of 1675014? 2, 3, 11, 41, 619 List the prime factors of 211444. 2, 52861 What are the prime factors of 12104664? 2, 3, 11, 13, 3527 List the prime factors of 864901. 864901 List the prime factors of 469479. 3, 156493 List the prime factors of 566894. 2, 283447 List the prime factors of 15924449. 3853, 4133 What are the prime factors of 480326? 2, 7, 11, 3119 What are the prime factors of 31635265? 5, 1579, 4007 List the prime factors of 301940. 2, 5, 31, 487 What are the prime factors of 601990? 2, 5, 37, 1627 List the prime factors of 1913570. 2, 5, 61, 3137 List the prime factors of 1977568. 2, 29, 2131 List the prime factors of 1409508. 2, 3, 31, 421 What are the prime factors of 294747? 3, 19, 5171 List the prime factors of 3792986. 2, 263, 7211 What are the prime factors of 2123897? 2123897 What are the prime factors of 266220? 2, 3, 5, 17, 29 What are the prime factors of 2916844? 2, 7, 104173 List the prime factors of 795067. 7, 13, 8737 List the prime factors of 960304. 2, 47, 1277 What are
{ "pile_set_name": "DM Mathematics" }
22*g**5 - 2 + 2*g**2 + 20*g**5. Find the second derivative of c(j) wrt j. -120*j**2 Let h = 105 - 419/4. Let c(d) be the first derivative of 0*d + 0*d**3 + d**2 + h*d**4 + 3. What is the second derivative of c(p) wrt p? 6*p Let r(f) be the first derivative of 136*f**3/3 - 39*f**2/2 - f - 60. Find the second derivative of r(m) wrt m. 272 Let l(y) be the third derivative of 2/21*y**7 - 17/6*y**3 + 0*y**5 + 0*y + 0 + 0*y**6 - 19*y**2 + 0*y**4. Differentiate l(t) with respect to t. 80*t**3 Suppose -9 = g + 5*r, -g + 17 + 1 = -4*r. Differentiate 12 + g*x**4 + 20 - 20 wrt x. 24*x**3 Let d(f) be the third derivative of -49*f**5/30 + 77*f**4/24 - 2*f**2 - 21. Find the second derivative of d(k) wrt k. -196 Suppose 0 = -2*o + 3 + 1. Suppose n + 5 = o*n. Differentiate 2 - n + 6 - 2*q**2 + 4 wrt q. -4*q Let v(g) be the third derivative of 0*g**5 + 0 + 6*g**2 + 0*g + 0*g**4 - 3/2*g**3 - 1/24*g**6. Differentiate v(k) wrt k. -15*k**2 What is the third derivative of -34*c**4 + 450*c**2 - 8*c**3 + 845*c**4 + 8*c**3 wrt c? 19464*c Let a(r) = r**2 - r. Let p = -13 - -13. Let f(o) = p + 4 - 3 - o. Let h(y) = 4*a(y) - 4*f(y). Differentiate h(q) wrt q. 8*q Find the second derivative of 2*y**3 - 6479*y + 13022*y - 6453*y - 63*y**2 wrt y. 12*y - 126 Let q(h) be the first derivative of 503*h**2/2 + 178*h + 278. Differentiate q(b) with respect to b. 503 Let j be 2 - 1 - 6/3. Let p(r) = 44*r**3 - 5*r**2 - 5*r + 1. Let z(t) = t**2 - t. Let m(g) = j*p(g) + 5*z(g). What is the third derivative of m(i) wrt i? -264 Let b(p) be the first derivative of 48*p**5 - 50*p**3/3 - 163. Find the third derivative of b(d) wrt d. 5760*d Let c(m) be the second derivative of -29*m**5/10 - m**3/6 - 25*m**2 + 2*m - 16. Find the second derivative of c(d) wrt d. -348*d Let g(q) be the first derivative of -35/2*q**2 - 6 - 43*q. Differentiate g(i) wrt i. -35 Let a(r) be the first derivative of r**4/3 + 17*r**2/2 + 2*r - 17. Let x(m) be the first derivative of a(m). What is the derivative of x(f) wrt f? 8*f Let l = -31 + 36. What is the derivative of -7*i**3 - 8 + 1 - 3 - l wrt i? -21*i**2 Let d be 8/(-2)*1/(-2)*5. What is the third derivative of 12*x**6 - x**5 + x**5 - 15*x**2 + d*x**2 wrt x? 1440*x**3 Let z(j) be the third derivative of 0*j - 11*j**2 - 3/40*j**6 + 0*j**4 + 0 + 0*j**5 - 5/3*j**3. What is the derivative of z(l) wrt l? -27*l**2 Let f(z) be the first derivative of -243*z**2/2 - 130*z - 43. Differentiate f(s) with respect to s. -243 What is the derivative of -22*l + 10*l + 113 + 3*l - 30 wrt l? -9 Let t(u) be the second derivative of -u**5/30 - u**4/8 + 4*u**2 - 5*u. Let s(z) be the first derivative of t(z). What is the second derivative of s(h) wrt h? -4 Let f(t) be the third derivative of 13*t**8/84 - t**6/24 + 37*t**5/60 - t**3/2 - 4*t**2 + 11. What is the third derivative of f(o) wrt o? 3120*o**2 - 30 What is the third derivative of 4*l**4 - 21*l**4 - 23*l**2 - 13*l**2 - 19*l + 14*l - 5*l**3 - 6*l**4 wrt l? -552*l - 30 Let i(x) be the second derivative of 337*x**4/6 + 11*x**3/3 - 2*x**2 - 783*x. What is the second derivative of i(l) wrt l? 1348 What is the second derivative of 508*u**4 - 2501148*u**2 + 254*u + 2501148*u**2 wrt u? 6096*u**2 Let f(g) = 4*g**3 - 17*g**2 - 5*g - 97. Let t(j) = -3*j**3 + 19*j**2 + 4*j + 97. Let p(o) = -4*f(o) - 5*t(o). What is the first derivative of p(l) wrt l? -3*l**2 - 54*l Find the first derivative of 19891 - 19470 - 109*v - 418*v wrt v. -527 Let p(c) = 3*c**2 - 19*c - 180. Let r(d) = d**2 - d - 1. Let o(z) = -p(z) + 4*r(z). Differentiate o(s) wrt s. 2*s + 15 Let i(s) = 13*s**2 - 21*s. Suppose 0*n = 7*n - 21. Let c(y) = 38*y**2 - 62*y. Let t(k) = n*c(k) - 8*i(k). Find the second derivative of t(l) wrt l. 20 Let j(o) be the third derivative of -4/105*o**7 + 0*o**6 + 0*o**4 + 0*o + 0*o**3 + 0 - 2*o**2 + 3/20*o**5. What is the third derivative of j(h) wrt h? -192*h Let c(w) = 295*w**3 + 88*w**2 - 20*w - 4. Let f(o) = 591*o**3 + 175*o**2 - 45*o - 9. Let b(d) = -9*c(d) + 4*f(d). Find the third derivative of b(h) wrt h. -1746 Suppose -4*q = -9*q + 125. What is the third derivative of -12*s**6 + 5*s**6 + q*s**2 + 10*s**6 + 15*s**6 wrt s? 2160*s**3 Let d(q) be the second derivative of q**6/10 - q**5/2 + q**4/12 - 8*q**3 + 3*q + 1. What is the third derivative of d(o) wrt o? 72*o - 60 Suppose -30*o + 20*o + 20 = 0. What is the second derivative of -16*u**2 - 28*u**o - 56*u + 4*u**2 wrt u? -80 Let a(v) = -1. Suppose -7 = u - 9. Let c(h) = -4*h + 1. Let l(k) = -k. Let g(x) = c(x) - l(x). Let y(m) = u*a(m) - g(m). Differentiate y(n) wrt n. 3 Suppose -6 = -9*u - 42. Let y(h) = 33*h**3 + 4*h - 33. Let r(n) = 98*n**3 + 11*n - 100. Let q(z) = u*r(z) + 11*y(z). Find the first derivative of q(d) wrt d. -87*d**2 Suppose 0*j = -4*j + 12. Suppose 0*q - q + j = 0. What is the first derivative of 4*p**3 + 0*p**3 - p**q + p**3 + 2 wrt p? 12*p**2 Let o be (12/(-5))/((-4)/10). Suppose 0 = -o*h + 7*h - 5. Find the second derivative of -3*j**h - 2*j**5 + 3*j**5 - 3*j**5 - 2*j wrt j. -100*j**3 What is the derivative of 45*w - 478*w**4 - 26*w - 19*w - 280 - w**2 wrt w? -1912*w**3 - 2*w Suppose -5*a + 705 = 2*f, -a - 1074 = -5*f + 675. What is the derivative of 324 + 4*j - f - 3*j wrt j? 1 Let l(p) be the first derivative of -200*p**7/7 - 50*p**3/3 - 2*p - 505. Find the third derivative of l(x) wrt x. -24000*x**3 Find the second derivative of -25*q - 4*q**4 - 1238*q**3 + 6*q**4 + 1296*q**3 + 107*q wrt q. 24*q**2 + 348*q Let h(d) be the second derivative of 33*d**4/4 - 13*d**3/6 - 2*d + 39. What is the second derivative of h(l) wrt l? 198 Suppose 2*r = -u + 10 - 3, 0 = 5*u - 5. Suppose t = -0*t - 2*g - 2, -g = -4*t + 19. What is the first derivative of -11*v - r + 7*v - t wrt v? -4 Let t(z) = -z - 1. Let y(v) = 16*v + 5. Let o(p) = -2*t(p) - y(p). Let i(w) = -w. Let x(f) = 4*i(f) - o(f). Differentiate x(d) wrt d. 10 Let c(m) = 5*m**4 + 6*m**3 - 5*m - 2. Let x(f) = 10*f**4 + 11*f**3 - 10*f - 3. Let u(r) = 5*c(r) - 3*x(r). Find the second derivative of u(s) wrt s. -60*s**2 - 18*s Find the third derivative of -10*t**5 + 6 - 4*t**5 + t**2 + 0*t**2 - t**3 wrt t. -840*t**2 - 6 Let u(w) be the first derivative of 21*w**5 - 233*w + 108. Find the first derivative of u(h) wrt h. 420*h**3 Let j(a) = 179*a**4 - 410*a + 3. Let y(p) = -538*p**4 + 1229*p - 8. Let m(x) = -8*j(x) - 3*y(x). Find the second derivative of m(w) wrt w. 2184*w**2 Let m be (20/(-6))/(-6*(-7)/(-63)). Let j be 4 + (-2)/(1/1). What is the second derivative of -j + 1 + 1 + 7*t + m*t**2 wrt t? 10 Let p(k) be the first derivative of 4/3*k**3 + 0*k + 19 + 0*k**5 + 0*k**4 - 29/6*k**6 + 0*k**2. Find the third derivative of p(g) wrt g. -1740*g**2 Let l(p) be the third derivative of p**4/6 - p**3 + p**2. Let i(c) = -4*c - 3 + c + 4*c + c. Let x(s) = -5*i(s) + 2*l(s). Differentiate x(q) with respect to q. -2 Find the second derivative of -37*r**3 + 114*r**4 + 70*r**3 + 184*r - 11*r**4 - 33*r**3 wrt r. 1236*r**2 Suppose 0*w = 2*t + 3*w - 147, 20 = 4*w. What is the third derivative of a**4 - a**4 + a**2 + t*a**5 - 43*a**5 wrt a? 1380*a**2 Let m(l) be the third derivative of 109*l**8/336 - 7*l**5/4 + 25*l**2 + 2*l. Find the third derivative of m(o) wrt o. 6540*o**2 Let d(y) = 2*y**5 - y**3 + y**2 + y - 1. Let x(z) = -235*z**5 + 3*z**3 + z**2 - 3*z - 12. Let q(h) = -3*d(h) - x(h). Find the third derivative of q(n) wrt n. 13740*n**2 What is the third derivative of 3 - 62*m**2 - 147*m**6 + 77*m**2 - 50*m**6 - 1 + 3 wrt m? -23640*m**3 Let z(g) = 2*g**3 - 3*g**2 - g + 11. Let j(u) = u**3 + 2. Let r(b) = 4*j(b) - z(b). What is the second derivative of r(x) wrt x? 12*x + 6 What is the second derivative of -11*p**2 - 350*p**3 - 148*p - 184*p + 11*p**2 + 4*p wrt p? -2100*p Find the second derivative of -58 - 419*u**2 - 8273*u - 13 + 8275*u wrt u. -838 Suppose -5*j + 53 = 3. What is the third derivative of -j*r**6 - 10*r**6 + 16*r**2 + 12*r**6 wrt r? -960*r**3 Let x(f) = -2*f + 39. Let q(m) = -6*m + 81. Let i(b) = 3*b - 40. Let o(j) = 5*i(j) + 2*q(j). Let u(a) = 6*o(a) + 5*x(a). Differentiate u(h) wrt h. 8 Suppose 0 = -18*a + 13*a + 55. What is the derivative of 1 + 0 + a*u + 24*u wrt u? 35 Find the second derivative of -15*w**2 + 4*w - 6*w - 5*w - 9*w wrt w. -30 Let v(t) = t + t**3 + 5*t**2 - 2 - 4*t**2 + 3. Let a be v(-1). What is the
{ "pile_set_name": "DM Mathematics" }
? 13 Let k = 1053 + -651. Calculate the remainder when k is divided by 9. 6 Let m = 33 - 18. Suppose 5*w = -3*x + 30, -3*x + 0*w + 4*w + 30 = 0. What is the remainder when m is divided by x? 5 Let v = 75 - 45. Let g = -310 + 313. Suppose g*s - v = -2*s. What is the remainder when 8 is divided by s? 2 Let d = 38 + -38. Suppose f - 44 + 2 = d. Calculate the remainder when f is divided by 11. 9 Let g(c) = -c + 5. Calculate the remainder when 44 is divided by g(1). 0 Suppose -z - 1 + 7 = 0. Suppose 0 = 5*p - 2*k - z, 3*p + p - 4 = 2*k. Suppose -p*b = b - 90. Calculate the remainder when b is divided by 16. 14 Suppose 0 = 3*f - 268 + 76. Suppose 3*j + f = 85. Calculate the remainder when 10 is divided by j. 3 Let d be -2*-4*(-4)/(-16)*-2. What is the remainder when d/(-12) + (-8)/18*-6 is divided by 3? 0 Let l = -155 - -170. Calculate the remainder when 85 is divided by l. 10 Let p = -873 + 932. Calculate the remainder when 292 is divided by p. 56 Suppose -887 = -12*f + 781. Suppose 0*u + 92 = 2*y + 2*u, 3*y - 3*u - 144 = 0. Calculate the remainder when f is divided by y. 45 Let l(x) = 21*x - 229. Calculate the remainder when 175 is divided by l(13). 43 Let t(o) = 3*o - 3. Let g(j) = j**2 + 34*j - 68. What is the remainder when t(10) is divided by g(2)? 3 Let m = 9 - 4. Suppose 4*h + 13 = m*h. Let x(p) = 4*p - 1. What is the remainder when h is divided by x(2)? 6 Suppose 30 = o - 3*c, -8*c = -5*o - 6*c + 124. What is the remainder when 32 is divided by o? 8 Suppose -332 = -5*v + 108. Suppose v = 4*h + 20. What is the remainder when h is divided by 7? 3 Let t(h) = 4*h**2 + 6*h - 12. Calculate the remainder when t(3) is divided by 12 + (-1 + 0)*-3. 12 Suppose -5*w + 320 = 5*b, -8*b + 265 = -4*b + w. What is the remainder when b is divided by 24? 19 Let p = 128 - -135. What is the remainder when p is divided by 67? 62 Let v(g) = -g**3 - 5*g**2 + 3*g + 5. Let s be v(-5). Let q(t) = -53*t**3 + t**2 + t. Calculate the remainder when q(-1) is divided by (12/s)/(8/(-180)). 26 Suppose 18 = -8*n + 2. Let q(t) = 13*t**2 - 9*t - 5. Calculate the remainder when q(n) is divided by 22. 21 Suppose 2 = -5*b + 8*b + h, 5*h + 18 = -b. Suppose -b*q - 254 + 47 = -3*c, -3*c + 198 = -5*q. What is the remainder when c is divided by 24? 23 Let t(r) = 5*r - 6. Let u be t(3). Suppose 3*y - n - 10 = -2*n, -y - 2*n = 0. Calculate the remainder when 2/12*y*u is divided by 4. 2 Let f(q) = 3*q**3 + 22*q**2 + 5*q - 3. Let x be f(-7). Suppose 3*v + 27 = 5*b, -5*b = -v - 8 - x. Calculate the remainder when 8 is divided by b. 2 What is the remainder when 230 - (18/(-3) - 2) is divided by 225? 13 Suppose -5*g + 1 = -4*g. Let w be g/(-6) + 181/6. Calculate the remainder when 116/10 - (-12)/w is divided by 5. 2 Suppose -w = 4*g - 43, 0*w - 4*g - 143 = -5*w. What is the remainder when (13/4 - 3) + 940/16 is divided by w? 28 Let i(t) = -10*t + 430. Calculate the remainder when 1139 is divided by i(40). 29 Suppose -2*a + a + 23 = 0. Suppose -d + 2*l = 4*l + 1, -2*l + 8 = 4*d. Suppose p + 0*j + d*j = 59, 171 = 4*p - j. What is the remainder when p is divided by a? 21 Calculate the remainder when 141*(-8)/(-36) + (-2)/6 is divided by 21. 10 Suppose 13*c + 130 = 923. Suppose -d + 38 = d. Suppose -y + 2 = -d. Calculate the remainder when c is divided by y. 19 Let x(y) = y**2 - 4*y + 7. Let h be x(3). Let w = h - -23. What is the remainder when 78 is divided by w? 24 What is the remainder when 38 is divided by (-920)/(-90) + (-8)/36? 8 Suppose -48*t = -44*t - 20. Suppose 0 = t*r - 10*r + 50. Suppose -4*v - 3*s + 15 = -10, -3*v + 3 = -3*s. What is the remainder when r is divided by v? 2 Calculate the remainder when (-1540)/(-25) - (-6)/15 is divided by 52. 10 Let x be ((-54)/(-12))/(3/(-4)). Let v = x + 15. Calculate the remainder when 23 is divided by v. 5 Let l = 60 - 13. Suppose l = 5*f - 23. Suppose 28*p - 32 = 24*p. Calculate the remainder when f is divided by p. 6 Suppose 5*d - 5 = -5*y - 0, -4*d - 2*y + 12 = 0. Suppose -v - 173 = -d*x, 5*x + 2*v + 3*v = 185. Calculate the remainder when x is divided by 12. 11 Let n = 570 + -553. Calculate the remainder when 24 is divided by n. 7 Let m be (-2)/(-4) + 68/8. Let q(x) = -19*x + 1. What is the remainder when q(-1) is divided by (22/6)/(3/m)? 9 Let r(l) = 9*l - 8. Suppose 10 = 2*n - 4. Calculate the remainder when r(n) is divided by 15. 10 Let x(m) = 8*m - 4. Let k be x(4). Suppose 3*h = 143 + k. Let g = h - 29. What is the remainder when g is divided by 10? 8 Let q(r) = r**2 - 11*r - 235. Calculate the remainder when q(-16) is divided by 68. 61 Let n = -8 + 25. Calculate the remainder when n is divided by 12/9*(-63)/(-28). 2 Let v(x) = -x**3 - 14*x**2 + 16*x + 30. Suppose 3*k - 401 = 136. What is the remainder when k is divided by v(-15)? 14 Let v = 24 + -10. Suppose -5*h - 4 + v = 0. Suppose -5*k + 145 = s + h*s, 5*k - 115 = 3*s. What is the remainder when 77 is divided by k? 25 Suppose w - 219 - 44 = 2*j, -266 = -w - j. What is the remainder when w is divided by 27? 22 Let a = 47 - 34. Let c = 42 - a. Let p = -434 + 444. Calculate the remainder when c is divided by p. 9 Suppose 33 = 5*r + 3*p, 2*r - 5*p + 12 = 50. Let i(j) = 6 + 4 - 5 + r*j + j**2. Calculate the remainder when i(-14) is divided by 38. 37 Suppose 1 + 43 = 4*n. Suppose -8*s = 2*s - 710. Suppose -i + 9 = -2*t, -i - 3*i + t + s = 0. Calculate the remainder when i is divided by n. 8 Let z(d) = 12*d - 2*d - 4 - 8 + 5. Let j be z(7). Let a = j - 20. Calculate the remainder when a is divided by 11. 10 Suppose 4*y + 21*l - 19*l - 366 = 0, 351 = 4*y - l. Calculate the remainder when y is divided by 15. 14 Let n(m) = -2*m - m**3 + 0*m**3 + 2*m**3. Let x be n(2). Calculate the remainder when (82/(-5))/(x/(-20)) is divided by 21. 19 Suppose -2*p = 131 - 163. Calculate the remainder when 92 is divided by p. 12 Let g be 99/88 - 3/24. Suppose 0*z = -2*z + 16. Let d = z - g. What is the remainder when 26 is divided by d? 5 Let h = 330 + -280. What is the remainder when 109 is divided by h? 9 What is the remainder when 22 is divided by (-4 + 15 + -13)*14/(-4)? 1 Let b(s) = s**2 - 6*s + 12. What is the remainder when 184 is divided by b(7)? 13 Let b = 2 - -53. Calculate the remainder when 327 is divided by b. 52 Calculate the remainder when (-1872)/(-20) - (-2)/5*1 is divided by 33. 28 Suppose 0 = 4*y - 4, 3*y = n + 8*y - 16. Calculate the remainder when 18 is divided by n. 7 Let j(s) = 3*s**2 + 63*s - 200. Calculate the remainder when 462 is divided by j(3). 14 Suppose 0 = s - 5*m + 5, 0 = -s - 2*m + 3*m - 1. Suppose s = 12*t - 7*t - 40. Let k(x) = x**3 + 31. Calculate the remainder when k(0) is divided by t. 7 What is the remainder when 2 + (-636)/(-8) + 3/6 is divided by 17? 14 What is the remainder when 278*(-3)/42*-7 is divided by 41? 16 Suppose -109 = -10*g - 19. What is the remainder when 196 is divided by g? 7 Let h(r) = 18*r - 4. Let m = -19 + 14. Let c be h(m). Let t = c + 165. What is the remainder when t is divided by 18? 17 Suppose -k + 2*y - 3*y = -8, 2*y = 3*k - 4. Suppose h + 102 = k*h. Suppose 0 = -69*r + 71*r - 38. What is the remainder when h is divided by r? 15 Suppose -10*s + 1262 = -708. Calculate the remainder when s is divided by 62. 11 Let z(y) = -4*y + 14. Let p = -20 - -38. What is the remainder when z(-5) is divided by p? 16 Let a be (6/(-4))/(9/(-48)). Let h = a + 11. What is the remainder when 292/(-6)*18/(-12) is divided by h? 16 Suppose -3*k - 299 = 7*j - 9*j, 5*k = 2*j - 297. Calculate the remainder when j is divided by 14. 11 Let u(f) = -f**3 - 34*f**2 + 70*f + 45. Calculate the remainder when u(-36) is divided by 20. 17 Suppose -105 = -5*g + 6*h - 8*h, -64 = -3*g - h. Calculate the remainder when 107 is divided by g. 15 Suppose 6*b = -p + 3*b + 25, 4*b = 5*p - 125. Calculate the remainder when 222 is divided by p. 22 Let i = -588 + 1069. What is the remainder when i is divided by 10? 1 Calculate the remainder when 101 is divided by (-155)/((-36)/(-24) + -4). 39 Suppose -61 = -3*x - 19. Suppose -4*i + 0*i = -112. Let z = i - x. What is the remainder when 27 is divided by z? 13 Let b be 2 - 3 - (2 - 37). Suppose -b = j + j. Let y = j + 20. Calculate the remainder when 7 is divided by y. 1 Suppose 5*c - 82 = 3*z, 8*c = 5*c - z + 38. Suppose -26 - c = -5*v.
{ "pile_set_name": "DM Mathematics" }
-12*n - 36 Let f(z) = -194*z**3 + 8*z**2 + 47*z - 17. Let j(a) = 194*a**3 - 7*a**2 - 46*a + 16. Let u(i) = -6*f(i) - 7*j(i). What is the second derivative of u(s) wrt s? -1164*s + 2 Let s(n) be the third derivative of 0*n**4 + 0*n**6 + 0 - 8*n**2 + 8/3*n**3 + 0*n**5 + 3/70*n**7 + 0*n. Differentiate s(y) with respect to y. 36*y**3 What is the third derivative of 60*m**6 + 129*m**6 + 6*m**6 - 311*m**2 + 68*m**6 wrt m? 31560*m**3 Let k(f) = 120*f**3 + 264*f**2 + 51. Let h(p) = 24*p**3 + 53*p**2 + 10. Let y(b) = -21*h(b) + 4*k(b). What is the third derivative of y(a) wrt a? -144 Let x(r) be the third derivative of -87*r**5/10 + 158*r**3/3 + 7*r**2. Find the first derivative of x(g) wrt g. -1044*g Find the first derivative of -64*i + i**2 + 73*i + 27*i - 103 wrt i. 2*i + 36 What is the second derivative of -25 - 107*p**2 + 220*p**2 - p - 21 wrt p? 226 Let w(c) be the first derivative of 4*c**3/3 - c**2/2 + 64*c - 67. Differentiate w(y) with respect to y. 8*y - 1 Let c(x) = 6*x**3 + 8*x**2. Let v(r) = -8*r**2 - 16*r - 5*r**3 + 16*r. Let t = 13 - 18. Let i(a) = t*v(a) - 4*c(a). What is the third derivative of i(m) wrt m? 6 Suppose 168 = 9*v + 3*v. Find the second derivative of -11*w - 4*w**2 - 66*w**4 + 63*w**4 + v*w**2 + 54*w wrt w. -36*w**2 + 20 Let v(h) = 13*h - 7. Let j = -17 - -28. Let k(b) = -25*b + 13. Let c(d) = j*v(d) + 6*k(d). Differentiate c(x) with respect to x. -7 Let w(z) = 3*z + 34. Let g be w(15). What is the second derivative of 6*h**4 - g*h + 5*h**3 - 5*h**3 + 90*h wrt h? 72*h**2 Suppose -6 = 3*f - 0*f - 5*n, f - 2*n = -3. Let s(w) = -w**2 - 4*w. Let v be s(-3). Differentiate -6*z**v - 64 - z**f + 69 wrt z. -21*z**2 Suppose -4*c + 6 = -2*c. Let l = -11 - -19. What is the second derivative of d - d + l*d**4 + c*d - 5*d wrt d? 96*d**2 Let m be (1 - 0)*25 + -2. Find the second derivative of -13 + 11*w**5 + m - 10 - 5*w wrt w. 220*w**3 Let x(h) = h - 3*h - 13 - h + 0*h. Let z(u) = 2*u + 14. Let n(y) = -3*x(y) - 2*z(y). What is the derivative of n(m) wrt m? 5 Suppose 46 + 9 = 5*a. Suppose 6*n + 15 = a*n. What is the derivative of 9 - 1 + 7*u**n - 9 wrt u? 21*u**2 Suppose 1 + 9 = o. Find the third derivative of 11*m**2 + o*m**4 + 3*m**2 - 7*m**4 + 7*m**4 wrt m. 240*m Let c be ((-6)/7)/(3/(-14)). Find the second derivative of -c*i**4 - 8*i + 23*i**2 - 23*i**2 wrt i. -48*i**2 Suppose 5*o - 13 = 2. What is the second derivative of -10*c**5 - 25*c**3 + 25*c**o - 21*c wrt c? -200*c**3 Let m be 6*(-7)/(-252) - 71/(-6). Find the second derivative of 45*s + 0 + m*s**2 + 0 - 52*s wrt s. 24 Suppose 0*a + 4*a - 80 = 0. Suppose -5*y = -2*q - a, y = 4*q + 21 + 1. What is the derivative of -5 - 4*p**y - 10*p + 10*p wrt p? -8*p Let u(p) = -131*p**3 + 17*p - 96. Let x(i) = -22*i**3 + 3*i - 16. Let q(a) = -6*u(a) + 34*x(a). What is the derivative of q(w) wrt w? 114*w**2 Suppose 0*h = -h. Suppose 10 = -h*w + 5*w. What is the first derivative of -2*c**2 - c**w + 0 + 5*c**2 + 4 wrt c? 4*c Find the third derivative of -i - 5*i**4 - 29*i**2 + 20*i**2 + 6*i**2 + 3*i**3 wrt i. -120*i + 18 Let t(u) = 101*u - 88. Let l(m) = 205*m - 177. Let v(k) = 3*l(k) - 7*t(k). Differentiate v(i) wrt i. -92 Let j(z) = -z + 4. Suppose -q - 15 = -4*o, 0*q + 3*q = 2*o - 15. Let y be j(o). Differentiate -4*n**3 + 7*n**3 - y + 2*n**3 wrt n. 15*n**2 Let m = -29 + 41. Find the second derivative of -18*g**4 - 1 - 26*g + m*g + 1 wrt g. -216*g**2 Let w = -18 - -24. What is the third derivative of 8*j**3 + j**3 - 3*j**3 - w*j**2 - 14*j**3 wrt j? -48 Suppose 5*x - 228 = -5*b - 13, 5*b - 20 = 0. What is the first derivative of -7*c + 8*c + x - 10*c - c wrt c? -10 Let x(a) = 164*a - 163*a - 6 + 1 - 8. Let s be x(18). Find the second derivative of 97*l**s + 10*l - 87*l**5 + 0*l wrt l. 200*l**3 Find the first derivative of 252*j**2 - 40*j**2 - 74 + 28*j**2 + 573 wrt j. 480*j Let t(u) be the second derivative of u**5/4 - 8*u**3/3 + 31*u**2 - 241*u. Differentiate t(n) with respect to n. 15*n**2 - 16 Suppose 4*d - 1 = 3*d. Let r = d + 3. Find the third derivative of 6*i**2 - 2*i**r - 6*i**2 - 4*i**2 wrt i. -48*i Let h(g) be the third derivative of -33*g**5/20 - 13*g**3/2 + 150*g**2. What is the derivative of h(r) wrt r? -198*r Find the first derivative of 43 - 22*l - 53*l**2 + 44*l - 22*l wrt l. -106*l Let p(t) be the third derivative of t**10/75600 - t**6/60 + t**5/15 + 9*t**2. Let m(j) be the third derivative of p(j). Find the first derivative of m(q) wrt q. 8*q**3 Let i(r) be the second derivative of -3/4*r**4 - 6*r + 0*r**6 + 0*r**5 + 0 + 0*r**2 + 0*r**3 + 1/42*r**7. Find the third derivative of i(q) wrt q. 60*q**2 Find the second derivative of -83*l**2 + 2*l + 3*l - 14*l + 30 + 11*l wrt l. -166 Suppose 4*g - 28 = -0*g. Suppose 0 = j - g*j + 48. Find the second derivative of -1 + 3*o**3 + 1 - 19*o + j*o wrt o. 18*o Let y(c) = 7*c - 15. Let p(m) = 3*m - 3. Let k(l) = 9*l - 10. Let n(f) = -4*k(f) + 11*p(f). Let a(v) = -13*n(v) - 6*y(v). Differentiate a(g) with respect to g. -3 Let o = 10 + -7. What is the first derivative of -14*r**o + 2*r**3 + 0*r**3 + 6 wrt r? -36*r**2 Let h(x) be the first derivative of 0*x**4 + 3*x - 12 + 0*x**2 + 0*x**3 - 9/5*x**5. What is the first derivative of h(t) wrt t? -36*t**3 Suppose 3 + 13 = 4*x. Let h(t) = -t**3 + 4*t**2 + t - 2. Let r be h(4). What is the second derivative of 2*d**4 - 7*d**x + 0*d**4 - r*d wrt d? -60*d**2 Find the first derivative of 2 - 9 - 15*y**3 + 32*y**3 - 34*y**2 + 106*y**2 - 18*y**3 wrt y. -3*y**2 + 144*y Let g(b) be the second derivative of b**7/42 - 7*b**4/4 - 11*b**3/3 - 40*b. Find the second derivative of g(h) wrt h. 20*h**3 - 42 Let a(v) be the first derivative of -9*v**6 + 4*v**3 - 2*v - 60. Find the third derivative of a(k) wrt k. -3240*k**2 Let x = -356 + 359. Let k(m) be the second derivative of 0*m**2 + 0*m**4 - 3*m + 0*m**5 + 0 + 2/15*m**6 - 1/3*m**x. What is the second derivative of k(h) wrt h? 48*h**2 Let r(l) be the third derivative of -3/5*l**5 - 4/35*l**7 - 8*l**2 + 0 + 0*l**6 + 0*l + 0*l**4 + 0*l**3. What is the third derivative of r(m) wrt m? -576*m Let l = 5 + 1. Suppose -4*w - 2*v = -4*v - l, 2*w = -5*v + 21. Find the first derivative of w - m**2 + 0 - 4*m**2 - 1 wrt m. -10*m What is the derivative of 5 - 14 - 13*h**4 - 14 + 10*h**3 - 3*h**3 wrt h? -52*h**3 + 21*h**2 Let j(k) be the first derivative of 3*k**4/4 + 116*k**3/3 + 224*k - 200. What is the derivative of j(o) wrt o? 9*o**2 + 232*o Suppose 4 = -4*p - 4*b, -4*p = -4*b + b - 31. Let h(n) be the second derivative of 1/6*n**3 + 0 + p*n - 1/2*n**2. What is the first derivative of h(z) wrt z? 1 What is the third derivative of -3780*h**3 - 30*h**2 + 3780*h**3 + 171*h**5 wrt h? 10260*h**2 Let c be 0 + (18/3)/3. What is the third derivative of 0*j**2 - j**6 + 9*j**6 - 4*j**c - 2*j**2 wrt j? 960*j**3 Let f(u) = u + 21. Let m be f(-16). Find the second derivative of -17*q - m*q**3 + 5*q**3 - 10*q**5 wrt q. -200*q**3 Let b(u) be the first derivative of u**3/3 - 3*u**2 - 129*u + 175. Find the first derivative of b(c) wrt c. 2*c - 6 What is the derivative of -10*h**2 - 19*h**2 - 1 + 27*h**2 + 2*h**4 wrt h? 8*h**3 - 4*h Find the third derivative of 1804*s**5 - 5*s**6 - 113*s**2 - 1804*s**5 - 18*s**3 wrt s. -600*s**3 - 108 Let x(z) be the second derivative of 124*z**7/7 + z**4/12 - 11*z**2/2 - 722*z. Find the third derivative of x(y) wrt y. 44640*y**2 Let m = 1211/540 + 1/135. Let o(r) be the first derivative of -m*r**4 - 4*r**2 - 5 + 0*r**3 + 0*r. What is the second derivative of o(t) wrt t? -54*t Suppose 0 = -0*f + 3*f - 9. What is the second derivative of -h - 3 + f - 2*h**4 + 0 wrt h? -24*h**2 Let r(j) = -383*j**5 + 14*j**2 + j - 10. Let q(a) = 2*a**2. Let n(v) = 7*q(v) - r(v). What is the second derivative of n(c) wrt c? 7660*c**3 Find the first derivative of 202 - 526*y + 194*y + 150*y wrt y. -182 Let a(l) be the first derivative of 7*l**4 - l**3 + 8*l - 9. What is the third derivative of a(s) wrt s? 168 Find the third derivative of -117*k**6 + 0*k**2 + 415*k**6 + 18*k**2 - 54*k**2 wrt k. 35760*k**3 What is the second derivative of -16*n**5 - n - 80*n**5 + 12 + 63*n**3 - 63*n**3 wrt n? -1920*n**3 Suppose 7*r - 10260 = -2*r. Find the first derivative of -p + 1125 - r - 7*p wrt p. -8 Suppose -10 = -5*c, 3*q - 4*q = -2*c + 1. What is the third derivative of 0*d**2 +
{ "pile_set_name": "DM Mathematics" }
)) + 2217 + -2212 + -19. -26 Evaluate 20 + (-12 - (1 + -5) - 1) - (16 - -66). -71 What is the value of (-7 - (3 + (-4 - -10) + -11)) + (5 - -10)? 10 Evaluate 25 + -15 + (-18 - -53). 45 Calculate (5 + 24 + 32 + -49 - -7) + 15. 34 (51 - (-17 + (-22 - -32))) + -17 41 Evaluate 0 - -1 - (5 + -9 + 6 + (47 - 9)). -39 Evaluate -7 + (-1 + -2 - 3) + -14 + -10 + 65. 28 What is the value of -7 + -32 + 31 + 31 - 72? -49 What is the value of -60 - (37 + -42 + -45 + 14)? -24 Evaluate 41 + -28 + 36 + (12 - (0 - -34)). 27 What is the value of 112 - 48 - (3 + 8 + -13)? 66 Evaluate -26 + 33 + (-15 - 4) + 68. 56 (-23 - -3) + 87 + -22 45 Calculate (8 - -4) + 80 + -132. -40 What is (-142 - (-408 - -194)) + (0 - 0 - 20)? 52 Calculate -63 - 3 - (43 - 112). 3 Evaluate -16 - 12 - (56 - 72). -12 Evaluate -195 + 172 - (-1 - ((2 - (-2 + 0)) + -7)). -25 What is -1917 - -1943 - (18 - 1)? 9 Calculate 7 + (8 + -15 + (7 - 4) - 0) + 53. 56 60 + -24 + -111 - 25 -100 What is -2 - (10 - -9) - (134 + -224)? 69 Evaluate 68 + -1 + (33 - 37 - -3). 66 What is the value of (2 - (-4 + -20) - 17) + -1 + -28? -20 55 + -41 + -2 + 4 + -4 + -2 + 13 23 -1406 + 1507 + 0 + -72 29 (155 - -6) + 887 + -1009 39 Calculate -83 + -2 - (-37 - 3). -45 Evaluate 118 + (25 - 106) + 6. 43 Calculate 3 + 13 + -79 + -1 + 20. -44 Evaluate 29 - (13 - -25) - -31. 22 Evaluate (197 - 114 - 104) + (0 - 22). -43 Evaluate -2 + -17 + (-2 - -1) + -119 + 120 - -2. -17 (-68 - -34 - -60) + -52 -26 Evaluate (33 - 24 - (-14 - -9 - (-9 - -1))) + -44. -38 What is the value of 140 - (104 - 37) - 62? 11 Evaluate (-629 - -614 - (-44 - 1)) + -102. -72 Calculate 20 - ((21 - (6 + 0)) + -4 + -4) - 4. 9 Calculate 45 + (-104 - -101 - (9 - -2) - -16). 47 What is the value of (-2 + -21 - -33) + 5 + 105? 120 -18 - (12 + -40 + (-13 - -24)) -1 What is (-13 - -76 - 49) + -49 - -78? 43 Evaluate 1 - (1 - (-3 + -3) - (-151 - -144)). -13 What is 27 + (-2 - -1) - (67 + -31 - 43) - 5? 28 Calculate 25 + -31 + -3 + 19 + -3 - (84 - 0). -77 Evaluate 10 + 9 + -18 + (-1 - -5). 5 Evaluate 16 + (-1 - 77) + (493 - 478). -47 Calculate 1 + -1 + 0 - (-91 + 221 - 43). -87 What is the value of 23 - 1 - ((-15 - -33) + -41 - -9 - -9)? 27 Evaluate 256 + -245 - (2 + 2 + -2 + (59 - 13)). -37 Evaluate (-4 - ((-24 - -11 - 5) + -13)) + 7. 34 Calculate 124 + -170 - (-13 + -4). -29 What is 62 + -115 + (46 - 51)? -58 -3 + (-1 - (-51 + 68 - (28 - 1))) 6 Evaluate 9 - ((1 - -57) + (-19 - -24) + -2). -52 Evaluate -4 - 1 - (90 + -40) - (521 - 535). -41 What is the value of 0 + -15 + (60 - (15 + (-53 - -59)))? 24 5 + 29 + -39 + -117 + 5 + -6 -123 What is the value of (-18 - 1) + -56 + (75 - 1) - 12? -13 (-42 - 35) + 16 + 22 + -1 + -8 -48 Calculate (-103 + -108 - -82) + 88. -41 Evaluate -947 - -971 - ((2 - 2) + 5). 19 What is the value of (88 - 24) + (13 - 1) + 3 + 1 + -7? 73 Evaluate -92 + 3 + -13 + -4 + 8 + -11. -109 Calculate -29 - (-15 + (17 - (-5 + 13 - -6)) + 10). -27 Evaluate -51 + (14 - -12) - -76. 51 Calculate (13 - 2) + (82 - 92) + (-3 - -2 - 0). 0 Evaluate 39 - 3 - (623 + -579). -8 Evaluate 12 + (-13 + (-1 - -8) - -9) + 49 - -2. 66 Calculate -137 + 168 - (-18 - -76). -27 2 - 4 - -106 - (-3 + 20) 87 Calculate (-34 - -12 - 57) + 71. -8 Evaluate -1 - (21 - (-5 + 21 - 30)). -36 What is the value of 57 + 26 - 23 - (31 - 9)? 38 Evaluate (-10 - (15 - -3)) + -25 - -24. -29 Calculate -5 + (-44 - 0) + 108. 59 Calculate (164 - (13 + 55)) + -50. 46 Calculate (8 - ((3 - (-3 - -6)) + -64)) + -18. 54 Calculate (-14 - -6) + 13 + -3 - (54 + -53). 1 Evaluate 42 + -6 - (16 - ((-13 - -6) + 19)). 32 What is the value of 0 - -15 - (81 - (6 + 60)) - -18? 18 What is -71 + -9 + 93 - 1? 12 What is (50 - -1) + (-174 - -105) - (-100 - 1)? 83 3 + 1 + 1 + -102 + (1086 - 1062) -73 What is (122 - 113) + (-1 - -5 - 22) + 55? 46 Calculate -35 + 26 + 23 + -20. -6 What is -20 - (-23 + 34 - 6) - 16? -41 Calculate 110 - 220 - -139 - (18 + 1). 10 58 + (34 - 73) - 4 - (-67 + -3) 85 What is the value of 55 + 6 + -10 + (19 - 4) + -18? 48 What is the value of -19 + -4 + (0 - -11) + -24? -36 Calculate -91 + (-27 + 46 - -16). -56 Evaluate 151 + -117 + -92 - (0 - 5). -53 Calculate 47 + (30 - 84) + 7. 0 What is -35 + (17 - ((20 - (2 + 7)) + -3)) + -13? -39 What is (0 - -9) + 2 + 23 + -58 + -13? -37 Evaluate (2 + (-1 - -5) - (-73 - -84)) + -4. -9 Calculate 1 - (-119 + 109 - (2 - -13)). 26 What is the value of -9 + (32 - 21) + -13 + -3 + -8 + -2? -24 What is the value of 7 + -12 - 5 - (-7 + (2 - 44) + -3)? 42 Evaluate (74 - (-16 - -226)) + 92. -44 Calculate (-70 - (-118 + 76)) + (1 - 21). -48 Evaluate -14 - (-28 - (-3 + (-45 - -12))). -22 Calculate 29 + (-67 - -13 - 35) + (-4 - -1). -63 Evaluate 20 + (7 - -29 - 17) + 84. 123 What is the value of 2 + 44 - 1 - (-15234 - -15271)? 8 What is 72 + (-80 - (-92 + 88))? -4 What is the value of 12 - -9 - ((-7 - (0 - 2)) + 86 + -78)? 18 What is the value of (34 + -9 + 12 - -14) + -2 + -6? 43 Evaluate -54 + 82 + -106 + 102. 24 -64 - -80 - -20 - 116 -80 What is the value of 72 + (0 - 46 - (742 + -753))? 37 (1134 - 1038) + 13 + 23 132 What is (85 - -2) + (-147 - (-95 + -66))? 101 49 + (-106 - -60) + -51 -48 Calculate (-37 - -3 - -1) + (-20 - (-59 - -27)). -21 Calculate 56 + -46 + (-2 - 12) + -6 - -9. -1 What is the value of -86 + (15 - (-1 + 4)) + -2 + -11? -87 What is the value of (3893 - 3973) + 25 + 0? -55 Calculate 17 + -6 + (-39 - (0 + -1 + (0 - 2))). -25 What is -2 + -56 + 3 + (8 - (-26 - -36)) - -5? -52 Calculate 11 - (810 - 828 - (-1 + -3) - (1 - 131)). -105 Evaluate 7 - (0 + -2) - (12 + (35 - (-50 - -40))). -48 What is the value of -12 + (26 + -12 + -30 - (-30 + -8))? 10 Calculate -1 + -1 + (-740 - -732) + 2 + 23. 15 Calculate 36 + -67 + -9 - -15. -25 What is the value of (20 - (39 - 27) - -4) + (28 - -1)? 41 Calculate 20 - (70 + -42) - -64. 56 What is (-2 - 21) + (-271 - -292) + -1? -3 Calculate 1 - (2 + 99 - 0). -100 What is the value of (-10 - (14 + -14)) + 12 - -21 - -4? 27 Evaluate 7 + 31 + -26 + -5 + 2. 9 Evaluate -652 + 626 - (3 - 140). 111 What is -23 + (1 + -11 - (113 - 118) - (27 + -18))? -37 What is the value of (11 - (1 - (0 - 3)) - 67) + -10 - -2? -68 10 + -22 + 105 - (-1 + (6 - -5) + 0) 83 What is the value of (102 - 105 - (0 + 0)) + 12 - -17? 26 What is -26 - (11 + 34 + (-35 - -84))? -120 Evaluate 47 + -11 + -136 + 81. -19 -34 - (25 - 111) - 11 41 What is the value of -11173 + 11140 - (0 - -30)? -63 10 + -182 + (-126 - -182) -116 Evaluate 14 + -8 + (-4 + -2 + 11 - 4) + -12. -5 -71 + (17 + 35 + 19 - 47) -47 Calculate 51 + 20 + (-1 + 0 - (-58 - -69)). 59 8 - 8 - (-18 - -13 - -8) -3 20 + -58 + 14 + 26 + -20 -18 What is the value of -53 + (6 - (13 + 5)) + 8 + 4? -53 What is -53 + (3 + 129 - 93)? -14 Calculate 302 + -260 + (5 - -2 - 68). -19 Calculate -6715 - -6705 - (-4 - (6 + -2 + -8)). -10 Evaluate -33 + 35 + 15 - (-20 - 2). 39 10 + (-2 - 0 - 1) - (-11 + 2 + 50) -34 What is the value of 9 - 2 - (-6 + 8 + -12 + -4 - -7)? 14 What is -94 + 88 + -14 + 60? 40 Calculate (9 + -2 + -10 + 2 - 54) + 17 + -17. -55 What is 17 + 12 + (31 - 39) - -24? 45 (-2 - 0 - 105) + 24308 + -24289 -88 Evaluate -6 - 1 - ((40 - (-5 - (9 - 33))) + 76). -104 3050 + -3111 + (-2 - -38) -25 Calculate -42 - -30 - -45 - (0 + -1 + -3). 37 86 - 81 - (-12 - 0) - -23 40 Calculate 5 - (-62 - -9 - (-60 + 20)). 18 Calculate -13 - (-15 - -30 - 9 - 18) - 16. -17 -4 + -3 + 6 + -58 + (-41 - -50) -50 Evaluate (2 - -14) + 91 + -77 + -18 + -12. 0 Calculate 19 + (-3 - (6 - (9 - -2))) - -4. 25 -9 - (-23 + -38) - (16 + -12 + 1 + -1) 48 Calculate -1468 - -1497 - (0 + -36). 65 -84 - (0 - 17 - -15 - -4 - 8) -78 17 - (22 + -26 + 8 + (-1 - -8)) - 51 -45 What is the value of (-444 + 431 - (-12 + 0 - -2)) + 12 + -22? -13 What is the value of 13 - (42 + -70) - -2? 43 -53 + (20 + 28 - -39) 34 139 + -156 + 2 + 14 + (28 - -1) 28 Evaluate -1069 + 1006 - (0 + -2 + 1 + (0 - 1)). -61 What is the value of -6 + (131 - 57) + -101? -33 What is 361 + -489 + -7 + (14 - (-9 - -5))? -117 (34 - (45 - 2)) + (122 - -2 - 4) - 12 99 53 + 9 + -109 + 17 -30 What is the value of 87 + -70 - (18 + -3) - -37? 39 What is the value of (2 - (1 - 31)) + 10 + -1 + -7 + -7? 27 What is the value of (741 + -702 - (15 + -1)) + 21? 46 69 + ((7 - 8) + -2 + 2 - (8 - 20)) 80 What is the value of (-14 - (15 - 5)) + (-15 - -95)? 56 Evaluate 71 - (-7 + (
{ "pile_set_name": "DM Mathematics" }
)*t**(12/7) assuming t is positive. t**(-1307/630) Simplify v/v**5*v**(-8)*v/((v/(v*v**(-14)))/v)*v*v**(6/5) assuming v is positive. v**(-109/5) Simplify ((q**0)**(10/13)/(q**0)**(-2/101))**(-2/25) assuming q is positive. 1 Simplify (((p*p**(-31))/p**(1/36))**24)**(-1/4) assuming p is positive. p**(1081/6) Simplify (s*s**5)**(-6/29)*s**(-2/15)*(s*s**(-10))/s*s assuming s is positive. s**(-4513/435) Simplify (n/(n/(n/(n/(n**(-1/2)/n)*n))))**(-8/9)*(n*n**(2/23))/(n**6*n) assuming n is positive. n**(-764/207) Simplify g*g**(2/17)*g*g**(9/2)/g*(g/(g/(g/g**1)))/g**(-1) assuming g is positive. g**(225/34) Simplify ((v/(v*v**(-1/8)*v))/(v*v**14))/(v**(-1/19)/v*v**(2/15)) assuming v is positive. v**(-34099/2280) Simplify ((y*y/(y/((y**(2/3)*y)/y)))/((y**19/y)/y))/(y/y**0)**(6/7) assuming y is positive. y**(-340/21) Simplify x**4*x**(2/7)*(x**(-12)/x)**(-39) assuming x is positive. x**(3579/7) Simplify j**(1/17)/j**(-9/8)*j**(1/14)*j*j**(-2/49) assuming j is positive. j**(14757/6664) Simplify (((l**(-3/10)*l)/l)/(((l**(-9)/l)/l)/l))/((l**(-14)*l*l*l)/l**(8/5)) assuming l is positive. l**(243/10) Simplify ((t/((t/t**(4/21)*t)/t))/(t**(-5)/t))/(t/t**(2/59)*t*t)**(5/6) assuming t is positive. t**(9215/2478) Simplify (x*(x/(x/(x*x**6*x*x)*x))/x*x)**(-4/31)/(x/(x*x**2/x))**(-1/8) assuming x is positive. x**(-319/248) Simplify ((y*y**(2/11))/y**(-12))/(y**(-1)*y)**(-40) assuming y is positive. y**(145/11) Simplify (r*r**(1/8)/r*r)**(-45)/((r*r**(-9)*r)/r**(-28)) assuming r is positive. r**(-573/8) Simplify ((x**(-2)/((x/((((x*x*x**(-14)/x*x)/x*x*x)/x)/x))/x))**(3/13))**(-40) assuming x is positive. x**(1800/13) Simplify (f**(-15)/f*f*f/(f*f*f/((f/((f*(f/(f/f**(5/6)))/f*f)/f)*f)/f)))/(f**(-18)/(f/f**(-5/4)*f)) assuming f is positive. f**(53/12) Simplify (v*(v/v**(-1/4))/v*v*v*v**(-1/12)*(v*v*v*v/v**(2/19))/v*v/((v*(v*v*v**(-1/8)*v)/v)/v))**(24/5) assuming v is positive. v**(473/19) Simplify (j/(j*j**30)*j*j*j*j**(-29))/((j*j/(j/(j/(j**(6/17)*j*j)))*j)/(j*j**(2/17)/j*j)) assuming j is positive. j**(-944/17) Simplify ((a**(2/3)/a)**(-44)/(a**2)**(-9/7))**(-42) assuming a is positive. a**(-724) Simplify ((s**(-1/20)*s)**(-6/7))**(4/5) assuming s is positive. s**(-114/175) Simplify ((y**30*y)/y**(13/2))**35 assuming y is positive. y**(1715/2) Simplify (s**(-5)*s/(s*s*s*s**(-1/6)*s)*(s*s**(-2/5))**(15/8))**(2/25) assuming s is positive. s**(-161/300) Simplify (c*c/c**1*c*c*c**(-1/8)/c)/(((c**(-2/5)*c)/c*c)/c)**(12/19) assuming c is positive. c**(1617/760) Simplify ((q*(q*((q/(((q*q/(q/(q**27*q)))/q*q*q)/q))/q)/q)/q)/q*q*(q/q**(4/9))/q)/(q**(-12/7)/((q/(q*q/(q*q*(q**(3/10)*q)/q)*q*q)*q)/q)) assuming q is positive. q**(-17911/630) Simplify ((w/w**(-2/33))/(w**(-2)*w*w))**(2/53) assuming w is positive. w**(70/1749) Simplify (a*a**(-2/7)*a**13)/(a**(-2))**(-16/5) assuming a is positive. a**(256/35) Simplify (((w/(w**(2/31)*w))/w)**(2/91))**17 assuming w is positive. w**(-1122/2821) Simplify n**(-1)/n**(2/9)*n/n**(-8)*n*n**1/n assuming n is positive. n**(79/9) Simplify ((z/z**(-16))**(-4/11))**(-4/9) assuming z is positive. z**(272/99) Simplify (y**(-2))**(1/9)/(y**(-13)/y*(y/(((y*y**(-8))/y)/y))/y*y) assuming y is positive. y**(34/9) Simplify t**8/t*t**(-2/11)*t/(t**14*t)*t*((((t/(t/(t**5*t*t*t)))/t)/t)/t)/t assuming t is positive. t**(-24/11) Simplify (k**8*k*k/(k*k/(k*k**(-9))*k*k*k)*k)/(k**3)**(-44) assuming k is positive. k**130 Simplify ((m**(-2/5)/m**(-4))/(((((m/m**(-2/9))/m)/m*m)/m)/m*m)**(-2/7))**(-26) assuming m is positive. m**(-3952/45) Simplify (((m/((m*m/(m**1*m))/m*m))**(2/59))**(5/11))**19 assuming m is positive. m**(190/649) Simplify (z**5*z)**49/(z**(3/10)*z/z**3) assuming z is positive. z**(2957/10) Simplify (p/p**(-2))**48*(p*p*p*(p*p**(-11))/p*p)/(p**8/p) assuming p is positive. p**130 Simplify z**(1/4)*((z*z**(7/3))/z)/z*(z**(2/3)*z)/(z*z**(-1/4)) assuming z is positive. z**(5/2) Simplify (((j/j**(-8))/j)/j*j/((j*j**14)/j))/(j**7)**(-7/4) assuming j is positive. j**(25/4) Simplify (((j/(j*(j**(-1)/j)/j))/(j**(2/17)*j*j))/(j**(-3/4)*j)**(10/11))**(-24) assuming j is positive. j**(-2940/187) Simplify (z**1*z)**40*z**20*z**13*z*z assuming z is positive. z**115 Simplify (z**(-4/11)/z*z**6/z)/(((z*(z*z*z**(-2/9))/z*z)/z)/z*z**9) assuming z is positive. z**(-608/99) Simplify (z**(-6/7)*z*z)**(-50)/(z/(z*z**(-9/7)*z)*z/z**0) assuming z is positive. z**(-409/7) Simplify (v/v**(-4))**(-24/11)*v*v**(-3/8)*v*v/(v**(-3/8)/v)*v assuming v is positive. v**(-65/11) Simplify v**19*v**(-22)*(v**12)**(-32) assuming v is positive. v**(-387) Simplify (((((n**5*n)/n)/n)/(n/n**(-1/7)))/((n**(-5)/n)/((n*(n**(-7)/n*n*n)/n)/n)))**(-2/5) assuming n is positive. n**(-26/35) Simplify (s/(s/(s**(-3)*s)))/(s/(((s*s*s/(s/(s**(-2)/s*s)))/s*s)/s))*s/(s**(1/9)/s)*s*s/s**(-2/11) assuming s is positive. s**(7/99) Simplify ((l*l**1)**(-1/3)/((l/(l/((l*l**(-4))/l)*l))/(l*l/l**(1/2))))**(-2/17) assuming l is positive. l**(-35/51) Simplify h**(-10/9)*h**21*(h*((h/h**(-19))/h)/h)/(h/(h**(11/5)*h)*h) assuming h is positive. h**(1804/45) Simplify ((g*g**(4/13))/(g/(g*(g*(g*g*g/(g/((g/(g/(g*g*g**16/g*g))*g)/g)))/g)/g)))/((g/g**(-6))/(g/g**(-19))) assuming g is positive. g**(433/13) Simplify (r**15*r**(5/7))**(2/11) assuming r is positive. r**(20/7) Simplify t**(-1/15)/t*t**13*(t*(t/t**(-10))/t)**36 assuming t is positive. t**(6119/15) Simplify ((h**9/h**(-12))/((h*h**10/h)/(h**11*h)))**(-5/3) assuming h is positive. h**(-115/3) Simplify (x/x**(2/37)*x/x**(-3/17))**(1/3) assuming x is positive. x**(445/629) Simplify (j**(-1/4))**(-2/31)*(j/(j/j**(-13)))/(j*j**(-16)/j) assuming j is positive. j**(187/62) Simplify (((p**0/p)**10)**(-2/43))**(-3/4) assuming p is positive. p**(-15/43) Simplify ((j**(-3)*j*j)/j**(2/17))**(20/7) assuming j is positive. j**(-380/119) Simplify (u**(2/25)*u)**(-32/7)/(u/(u*u**(-2)*u*u))**(-2/117) assuming u is positive. u**(-864/175) Simplify (s/(s/s**(-1/2))*s*s**(-1/3)*(s/s**(2/7))**(-6/13))**(-39/2) assuming s is positive. s**(89/28) Simplify (z**5/z*z**(-2)/z)/(z*z/(z*(z/z**(-4/7)*z)/z*z*z*z*z)*z*(z/z**(-11/2)*z)/z) assuming z is positive. z**(-27/14) Simplify (x/x**(3/14))/(x**(-7)/x)*(x/(x*(x**(-3/5)*x)/x*x))**(-37) assuming x is positive. x**(1651/70) Simplify ((i**0)**41*i**(-5)/(i**(1/2)*i))**(7/8) assuming i is positive. i**(-91/16) Simplify ((d/(d*d/(d/(((d*d**(-18))/d)/d))*d*d*d))/d**(-27))/((d**29/d)/(d/(d**(1/4)/d))) assuming d is positive. d**(67/4) Simplify ((q*((q/(q**(3/2)/q))/q)/q)**(-31))**(-5/9) assuming q is positive. q**(-155/18) Simplify (((n*n/((n/(n*n**(1/2)))/n))/n*n)/n**(-2/15)*(n*n**0)/(n*n**(2/9)*n))**31 assuming n is positive. n**(6727/90) Simplify ((r/r**(-4/5)*r*r**(1/4)/r)**(2/23))**(-27) assuming r is positive. r**(-1107/230) Simplify (q*q**(-1)*q**(-2/5))/(q**(2/3))**(-4/5) assuming q is positive. q**(2/15) Simplify (d/d**20*d*d**15/d)**(-37) assuming d is positive. d**148 Simplify ((s/(((s**1/s*s)/s)/s))**(-45)/(s**(4/3)*s**(2/9)))**(-16/9) assuming s is positive. s**(13184/81) Simplify (f**(-21)/((f**(-2/19)*f)/f))/(f**(-18/7)/f)**(-47) assuming f is positive. f**(-25104/133) Simplify ((o/(o*o/(o*o**7/o))*o*o)/(o/o**(-3/7))*o**(-8)*o**(-3/10))**48 assuming o is positive. o**(-2904/35) Simplify (v**4)**(-20/7)/((v**(-3/2)*v*v)/(v*v**(-2/33)/v*v)) assuming v is positive. v**(-5077/462) Simplify (v**(-2/3)/v)**(4/19)/((v*v**(2/25)*v)/(v*v**(-6/5)*v)) assuming v is positive. v**(-2324/1425) Simplify (m*m**(1/5)*m*m*m*m)**(-44)*(m**(-1/2))**(4/17) assuming m is positive. m**(-19458/85) Simplify (o**(2/9))**(2/95)*o**(-6/7)*(o**20*o)/o assuming o is positive. o**(114598/5985) Simplify (c**(-3)*c)**36/((c*c/c**(-3/11))/c**(-10)) assuming c is positive. c**(-927/11) Simplify ((t**(-2/19)*t*t**(-1)*t)/((t*t**(-4/3))/(t**(1/3)/t)))**29 assuming t is positive. t**(928/57) Simplify (r**(3/4))**(-29)*r**(1/11)*(r/(r**13/r))/r assuming r is positive. r**(-1481/44) Simplify ((n**17/n)/n**1)/((n*n**(-29)/n)/(n/(n*n**(-15/7)))) assuming n is positive. n**(323/7) Simplify (f**1/f**(3/2))/((f/(f*f**(7/6)))/f**(2/93)) assuming f is positive. f**(64/93) Simplify u**15/(u/(((((u/((u*u/(u/u**12*u))/u))/u)/u)/u)/u))*(u*u**(-11)*u)/u*u**(7/4)*u assuming u is positive. u**(-29/4) Simplify (z*(z*z**(1/3)*z*z)/z*z*z*z**(-2/3)*(z*z**4/z*z*z)/(z*z**(1/2
{ "pile_set_name": "DM Mathematics" }
ds digit of x? 6 Let z(a) = -a**2 + a - 37*a + 45 - 108. What is the hundreds digit of z(-23)? 2 Let k = 7 - -12. Suppose 2*n + 3 = k. Suppose -130 = -n*y + 3*y. What is the units digit of y? 6 Let t be (272/40)/(4/10). Let z = -12 + t. Suppose -z*b = m + 14, 2*m = 3*m - 3*b - 10. What is the units digit of m? 1 Let g(y) = 6*y**2 - 3*y**2 - 2*y**2 - 5*y + 11. Let h be g(10). Suppose 0 = 2*v - 25 - h. What is the tens digit of v? 4 Let b = 207 - 187. What is the tens digit of b? 2 Let d be (-25 + 138)/(0 - -1). Suppose -v = -161 - d. What is the tens digit of v? 7 Let l(c) be the first derivative of 2*c**3/3 + 7*c**2/2 - c - 2. What is the tens digit of l(-5)? 1 Let d = 15 - 6. Let r = 13 - d. Suppose 2*c - 6 = r, 5*c = 5*t - 135. What is the units digit of t? 2 Let h(d) = 528*d - 15. What is the hundreds digit of h(1)? 5 Let i be (1 - -2) + 3 + -4. Suppose t + i*r = -2*t - 80, 0 = -3*t + 5*r - 115. What is the tens digit of (-1075)/t - (-2)/12? 3 Let m be 3/6*(7 + -1). Suppose m*h - 9 - 44 = -4*b, -b + h + 22 = 0. Let i = 24 - b. What is the units digit of i? 7 Let i(h) = 3*h**2 + 6*h - 1. Suppose 8*f + 65 - 17 = 0. What is the tens digit of i(f)? 7 Let v(o) = 2*o**3 - 2*o**2 - 5*o + 3. Suppose 4*z = -3*k + 21, 6 = -k + 2*z + z. What is the units digit of v(k)? 4 Suppose 3*a - 14 = 2*l - 1, -l + 21 = 4*a. Suppose -4*r = -4*v + 36, -4*v - 4*r = -7 - a. What is the units digit of v? 6 Let j be (51/(-4))/(3 + (-23)/8). Let c = -56 - j. What is the tens digit of c? 4 Let j be (-6)/3 - (0 - -1 - -171). Let p = 254 + j. What is the units digit of p? 0 Let p = 83 - 78. Suppose 86 = 2*m - 4*d, 4*m + 25 = p*d + 188. What is the tens digit of m? 3 Let s(y) = y**2 - 9*y - 5. Let d be s(10). Suppose -o + 3*o = 3*f + 2, o + 6 = d*f. Suppose 2*x + f*n = 104, 3*x - n - 144 = 32. What is the tens digit of x? 5 Let y be 0/(-2) + -3 + 6. Suppose 0 = f - y - 7. Suppose f = -5*t + 5*i, 4*i = -4*t + 37 - 13. What is the units digit of t? 2 Suppose 15*t - 5496 = 1359. What is the units digit of t? 7 Suppose 5*a - 5*c = a + 72, 123 = 5*a + 2*c. Suppose -2*v = -a - 65. What is the tens digit of v? 4 Suppose 4*d = x + 382, -3*x + 0*x + 486 = 5*d. What is the tens digit of d? 9 Suppose 2*g + 2*y - 16 = -0*y, -1 = -2*g + y. Suppose -g*x + 6 = -6. What is the units digit of x? 4 Let h(z) = -29*z - 29. What is the units digit of h(-21)? 0 Let s be 1/2*(5 - -1). Suppose 4*x = 5 + s. What is the tens digit of (-68)/x*(-6)/4? 5 Let d = 37 - 37. Suppose 5*k - 163 - 102 = d. What is the units digit of k? 3 Suppose -3*z - 4*c + 720 = 0, 705 = 3*z + 5*c - 6*c. What is the tens digit of z? 3 Let q be 0 + -1 + (1 - -3). Suppose q*b - 100 = -b. What is the tens digit of b? 2 Let b = 16 + -14. Suppose 6*w - 300 = b*w. Suppose g = -4*g + w. What is the units digit of g? 5 What is the tens digit of (14*32/(-168))/((-4)/1086)? 2 Let r = -3 + 2. Let k be (-3)/(1*(r + 0)). Suppose -52 = -k*v + v. What is the units digit of v? 6 Let s = 183 + 1106. What is the hundreds digit of s? 2 Suppose -506 = -2*c - 418. What is the tens digit of c? 4 Let r = 34 - -3. Let u = 54 - 49. Suppose u*p - r = 103. What is the tens digit of p? 2 Suppose 4*h = h - 9. Let g(k) = -9*k**3 - 5*k**2 - 11*k - 7. Let d(z) = -5*z**3 - 2*z**2 - 6*z - 4. Let r(o) = 7*d(o) - 4*g(o). What is the units digit of r(h)? 1 Let v be 5/(-1)*(-126)/15. Suppose -3*h + v = -0*h. Suppose 5*d = 81 + h. What is the units digit of d? 9 Suppose -13 - 104 = -w + 4*m, -5*w + 602 = -3*m. What is the tens digit of w? 2 Suppose -3*x + d - 4965 + 14256 = 0, -4*d = 0. What is the thousands digit of x? 3 Let m = -158 - -270. What is the units digit of m? 2 Let n = 14 + -12. Suppose 28 = r - 4*o - o, -n*r - 4*o = 0. What is the units digit of r? 8 Let s(n) = -4*n + 23. Let j be s(6). What is the tens digit of (51/(-5) + j)/((-33)/165)? 5 Let z(j) = 3*j**2 + 2*j + 12. Let o(l) = l**2 - l + 1. Let d(h) = -2*o(h) + z(h). What is the units digit of d(-4)? 0 Suppose 68 = 4*w - 4*j, 31 = -4*w + 6*w - j. Let v be (12/(-14))/((-4)/w). Let f = 23 - v. What is the tens digit of f? 2 Let s(c) = 55*c**2 + c + 4. Let j(o) = -56*o**2 - o - 5. Let p(h) = 3*j(h) + 4*s(h). What is the units digit of p(-1)? 2 Let t = -1568 - -3049. What is the tens digit of t? 8 Let i(z) = -z**3 - 14*z**2 + z - 51. What is the hundreds digit of i(-16)? 4 Suppose d + 1 - 18 = 2*m, 4*d - 4*m = 80. What is the units digit of d? 3 Let u(p) = p**2 + 8*p + 3. Let f be u(-7). Let z(n) = n**3 + 3*n**2 - 5*n - 1. Let j be z(f). What is the units digit of 2 + (j - (2 - 0))? 3 Let p = -195 - -414. Suppose -221*y = -p*y - 436. What is the hundreds digit of y? 2 Let l(u) = 531*u**2 - 3*u + 2. Let p be l(1). Suppose 2*t - 2*x = 53 + 159, 4*x = 5*t - p. What is the units digit of t? 6 Let v = 5499 - 3288. What is the hundreds digit of v? 2 Suppose 17*u - 2024 = -86. What is the units digit of u? 4 Let h(y) = -y**3 - y**2 + 8*y - 7. Let f be h(3). Let m(n) = -7*n - 55. What is the units digit of m(f)? 8 Let r(t) be the second derivative of -t**5/20 + 13*t**4/12 - 7*t**3/6 + 15*t**2/2 - 35*t. What is the hundreds digit of r(6)? 2 Let q(r) = r**2 + 3*r. Let o be q(-8). Let j be ((-2)/4)/((-4)/o). Suppose -j*b = -5*z - 30, 54 = 4*b + b + z. What is the units digit of b? 0 Let c(k) be the third derivative of -k**6/120 + k**5/30 + k**4/8 - k**3/3 - 9*k**2. What is the tens digit of c(-4)? 8 Let a be (4/(-3))/(2/12). Let g(f) = -6*f + 7*f - 2 - 5*f. What is the units digit of g(a)? 0 Let m(i) = -i + 2. Let z be m(2). Suppose 2*k = -5*c + 59, 0 = -z*c + 2*c + 5*k - 11. What is the tens digit of c? 1 Suppose 0*o = 5*o - 120. Suppose -4*t - 8*k + 4*k = -420, -3*t - k = -319. Suppose o = 4*r + 3*g - t, -4*g = -4. What is the tens digit of r? 3 Let u = 37 - 292. Let g = 363 + u. What is the hundreds digit of g? 1 Let b = -19 + 19. Suppose 5*j - 9*j + 8 = b. What is the units digit of j? 2 Suppose 1153 = 10*x - 5507. Suppose 2*w + n = 414, 5*w + 3*n - x = 370. What is the tens digit of w? 0 What is the tens digit of (21/(-5))/((-2)/(-5))*-6? 6 Let u = 6709 + -4605. Let a be 6 - 2 - u/1. What is the tens digit of (-2)/(-11) - a/66? 3 Let l(s) be the third derivative of s**5/60 + s**4/8 - 2*s**3 + 10*s**2. What is the units digit of l(-9)? 2 Let j = -25 + 27. Suppose 2*a + j*o - 94 = 0, 0 = a - 0*a + 3*o - 57. What is the tens digit of a? 4 Let s(r) = 2 + r - r**2 - 5 + 2*r**2. Let y be s(-3). Suppose 5*p + 2*w - 132 = -23, -5*p = y*w - 106. What is the tens digit of p? 2 Suppose -16740 = -381*j + 375*j. What is the units digit of j? 0 Suppose 3*b - 200 = 2*b. Suppose -5*h + 1250 = -b. What is the hundreds digit of h? 2 Suppose s + 5 = 8. Suppose 4*j + 12 = -4*t, 5*t = -7*j + s*j - 17. Let q(o) = o**2 - 5*o + 2. What is the units digit of q(t)? 2 Let p(u) = u**2 - 26*u - 257. What is the hundreds digit of p(-27)? 1 Let i = 1155 + -629. What is the tens digit of i? 2 Let y = -187 - -179. Suppose 0 = b - 0*b + 1. Let x = b - y. What is the units digit of x? 7 Let h be (-4)/(-26) - 1260/(-260). Suppose 0 = -2*m - r + 15, -h*m + 4*r = -r. What is the units digit of m? 5 Let n = -5047 - -8685. What is the thousands digit of n? 3 What is the hundreds digit of 42/189 - 29260/(-36)? 8 Suppose -u + 0*u + 297 = 3*a, -5*a + 2*u + 495 = 0. What is the units digit of a? 9 Let y(r) = -109 + r - 7*r + r + 79. Suppose 4*o = o - 45. What is the tens digit of y(o)? 4 Let r be -142 + 1*(-1 - 1). Let t be 5*(r/10)/(-2). Suppose i = -3*i + t. What is the units digit of i? 9 Let u(o) = o**3 - 4*o + 3. Let p = 5 + -3. Let d be u(p). Suppose 4*v + d*a - 132 = 0, 4*v = 2*a + a + 156. What is the tens digit of v? 3 Let r(m) = 33*m**2 + m + 5. Let z be r(3). Suppose 5*g - 10*g + z = 0. What is the units digit of g? 1 Let h = 30 + -23. Suppose h*w + 640 = 15*w. What is the tens digit of w? 8 Let r(n) = -10*n. Let f be (2 - (-3)/3)/(-1). Let l be r(f). What is the tens digit of 4/l + 193/15? 1 Let i(t) = t**2 + t + 368. Let q be i(0). Suppose -q + 110 = -3*a. What is the units digit of a? 6 Let i be (-1 - (2 + -2)) + 5. Let g(z) = z + 1. Let v be g(3). Suppose -l = v*l - 2*h - 139, -i*h = -l + 35. What is the tens digit of l? 2 Let k = 4051 - 1130. What is the units digit of k? 1 What is the units digit of (-3)/((-4)/876*1)? 7 Let
{ "pile_set_name": "DM Mathematics" }
0))*-20*12/(-540) -38 ((-9762)/6508)/((-1)/(-4)*2/12) -36 Evaluate (-135)/((-21600)/(-4736))*(-1)/2. 74/5 What is the value of (45474/156)/((-9)/(18/(-11)))? 53 What is (81/2)/(-13*23/8372*-42)? 27 Evaluate (20*26)/5*((-24)/80)/(6/(-5)). 26 What is the value of ((-29)/((-5684)/112))/(18/(-147)*-8)? 7/12 What is the value of ((-108)/(-10))/(-6)*826/(-354)? 21/5 What is the value of (((-8624)/(-55))/28)/(38/(-285))? -42 What is the value of (52544/37766)/(2/46)? 32 What is -606*52*(-16)/(-1664)*2/6? -101 Calculate (48/((-7872)/(-205)))/(4/(-192)*2). -30 Evaluate (-20)/((-80)/(-6))*(-73)/((-31755)/812). -14/5 Calculate (-9*(-6)/(-1683))/((-1497)/5489). 2/17 What is the value of (-22)/(-770)*2/(-5)*(22500/16)/75? -3/14 (-120)/80*520/(-286) 30/11 Evaluate ((-36)/(-14)*-3*8/240)/((-33)/(-55)). -3/7 What is the value of -4*(-10)/(-5)*57/(-19)*35/(-15)? -56 Evaluate (4/(-14))/((3792/2370)/((-5)/(250/(-84)))). -3/10 What is the value of 2*3/(924/44)*-5? -10/7 Calculate -40*39/(-416)*2/8*(-64)/(-10). 6 What is the value of (192/804)/((-3472)/(-217))? 1/67 What is 3*1*10*119/1530*(-1488)/(-56)? 62 What is the value of ((-6)/(-5))/((-16)/40)*(20580/1134)/(-35)? 14/9 What is the value of (-57)/(-380)*4/(13/((-91)/(-14)))? 3/10 (-1*-7*(-16)/(-280))/(4/(-8)*2) -2/5 Calculate (21/((-378)/(-156)))/(152/114). 13/2 What is 1*(-925)/(-10)*94/1175? 37/5 What is the value of (-12)/(-18)*(-105)/70*(-2)/(-7)? -2/7 What is (-434)/(-12)*105/(-420)*12/14? -31/4 Evaluate -4*169/(22984/1938). -57 What is the value of (153/(-126))/((-494)/(-20748))? -51 Evaluate 5*5/(-475)*12/984*41. -1/38 What is the value of 92/345*(-3)/((-41)/(533/(-806)))? -2/155 Calculate (41096/(-8406))/((-8)/(-27)). -33/2 Calculate 336/672*0/9*-3*3/(-9). 0 Evaluate -10*(-18)/(-120)*((-27)/(-711))/(72/16). -1/79 Evaluate 108/(-1944)*510*-3. 85 What is the value of (0/1)/((-136)/102*42/4)? 0 Evaluate 740/1850*-1*25/30. -1/3 What is the value of (-7784)/(-6672)*(-12)/(-392)? 1/28 Calculate (2/((-294)/2331))/((-612)/408). 74/7 What is the value of (4257/792)/(2/32*56/28)? 43 Evaluate ((-370)/(-22755)*-82)/(116/3). -1/29 20*(-184)/1380*-12 32 What is (-5*97/((-47530)/(-924)))/(3/14)? -44 Calculate (5/(-20))/(34*1/136). -1 Evaluate 171/1596*4*350/(-18). -25/3 (48/114)/((9/(-57))/(11/(-22))) 4/3 What is 2330/233*(-9)/180? -1/2 Evaluate ((-59)/(885/18))/(-1*(-10)/(-200)). 24 What is the value of -664*(-5)/(-20)*2/12*-3*-1? -83 Evaluate ((-12)/5394)/(260/(-1612)). 2/145 What is the value of (-20*(-459)/(-4335))/((-9)/6)? 24/17 Calculate (8/(-3))/(28/(-84))*(-2482)/(-584). 34 Evaluate 15/(((-312)/(-20))/(-26))*3. -75 What is the value of 26/18*729/3159*16? 16/3 What is the value of 1/(((-255)/(-17))/(-15))*1/11? -1/11 Evaluate (40/(-12))/((-19)/(2584/85)). 16/3 What is (46/2737)/(55/((-30800)/32))? -5/17 Calculate ((-87)/4)/((-77)/110*1095/(-1022)). -29 What is -45*(12/10)/((-9096)/22740)? 135 ((-170)/(-2584)*-171)/(2/(-8)) 45 Calculate (108/702)/(297/117). 2/33 What is (-16)/(-80)*1620/36? 9 What is the value of (-76)/30*(-277995)/18533? 38 What is the value of 210/(-1050)*(-275)/5? 11 Calculate (-756)/42*182/(-78). 42 Calculate ((-7)/(-5))/((-51)/((-7395)/(-116))). -7/4 What is 2930/16994*(-1)/(-25)*5? 1/29 Calculate ((-1056)/9680)/((-5)/(50/1)). 12/11 6/4*(-100)/(-15)*(-404)/(-202) 20 What is (50/(-15))/(1560/624)? -4/3 What is (13*1/(-20)*5)/(((-9)/(-16))/(-9))? 52 80/72*10/(-250)*-12 8/15 What is the value of ((-18)/837)/((-7)/(-63)*3)? -2/31 What is the value of 345/(-23)*(-13)/((-65)/10)*268/(-201)? 40 Evaluate (650/1365)/(40/(-448)). -16/3 (-164)/(-4)*523/(-523) -41 Calculate 118/115522*89*44/556. 1/139 What is the value of (-46)/4*(2/((-126)/49))/((-1057)/906)? -23/3 ((3848/999)/52)/(275/(-99)) -2/75 What is the value of (-242)/(-4)*((-2268)/1296)/((-308)/80)? 55/2 (10/(-12)*(-7)/(-5))/((-650601)/16164) 2/69 Evaluate ((-171)/(-6))/(((-10860)/40)/181). -19 What is the value of ((1863/(-792))/69*2/(-3))/(40/(-64))? -2/55 Calculate ((-5724)/11925)/((-1)/(10/(-21)))*(-30)/(-4). -12/7 What is (5/(-3))/(-32*255/141984)? 29 What is the value of (4*(-27)/720)/((1/(-4))/((-49)/1029))? -1/35 Evaluate (-1)/((12/(-8))/((-1659)/158)). -7 Evaluate (-33*2)/((-1)/(33/(-44)))*12/(-27). 22 What is the value of ((-604)/(-151))/(1/((-3)/(-6)))? 2 What is the value of ((-311)/1555)/(1/285)? -57 What is the value of ((-40)/(-290))/(54/(-81))? -6/29 Calculate (-203)/7105*(-260)/182. 2/49 What is (-1)/(-4)*(7*(-174)/203)/(2/(-60))? 45 Evaluate (-3*-4*(-18)/(-40))/((42/(-21))/(-40)). 108 (1991616/(-40480))/((-2)/(-5)) -123 1*-16*(13/65)/((-28)/175) 20 What is the value of 27/414*(-184)/(1288/28)? -6/23 Evaluate (((-2535)/(-117))/13)/(14/(-2)). -5/21 What is (2*616/588)/((-2)/3)*4/(-22)? 4/7 What is the value of 570/(-60)*(-430)/95? 43 Evaluate (-2)/(-76)*(-12388)/(-326)*-47. -47 18/2*(-44)/(-66)*(640/24)/(-10) -16 What is (-24)/((-14)/49*(-504)/216)? -36 Calculate -10*(7/(-14))/(30/(-72)). -12 Evaluate (-3*434/93)/(-1). 14 Calculate -12*30/3240*(-36)/(-1344)*2. -1/168 What is the value of (28/12)/(669/(-6021))? -21 What is the value of ((-98)/(-4998)*51)/((-55)/(-2))? 2/55 1*10*(-513)/(-18)*6/45 38 ((11/(-638))/(2/4))/(160/(-320)) 2/29 Evaluate (-1181)/76765*(-15)/9. 1/39 (-4)/(((-22156)/870)/(-191)) -30 What is ((-33)/11)/(36/132)? -11 1359/(456624/(-35952))*((1*2)/2)/(-1) 107 What is the value of (8/(-80)*6)/((-4071)/(-115))? -1/59 What is the value of (((-13)/39)/(30/(-315)))/(6/(-48))? -28 What is the value of (-864)/3024*21/(-26)? 3/13 What is the value of (-4788805)/(-31402)*(-4)/50? -61/5 What is the value of (60/444)/(270/108)? 2/37 Evaluate 2/((-200)/(-800)*(-8)/38). -38 What is (-65)/(-2)*408/3230*19*(-2)/3? -52 What is the value of (90/7020)/(30/(-40))? -2/117 What is (-20412)/2835*10/(-6)*15/20? 9 What is (((-154)/(-14))/(-165))/(4/(-48))*70/2? 28 Calculate 2/((-392)/(-441))*(-16)/(-3). 12 What is ((-42)/12)/(-7)*1*(1694/(-11))/(-11)? 7 Evaluate (((-24)/(13392/15))/((-15)/6))/((-74)/111). -1/62 What is 58*(16200/1305)/30? 24 What is (-4)/(-16)*-16*(-21)/(-4)? -21 What is (((-12)/(-12))/((-9)/(-3)))/((-5)/585*15)? -13/5 Evaluate (-130)/((-365040)/(-156))*-174. 29/3 (15/(-15)*1)/((44/(-44))/(-1*113)) -113 What is the value of ((-3)/(441/(-48)))/(((-508)/762)/(7/3))? -8/7 Calculate ((-17)/3)/((-65)/(-30))*233/((-36115)/2015). 34 19/(-16416)*12*(-54)/9*1 1/12 What is -8*2193/204*(-1)/(-2)? -43 What is ((-28710)/(-203))/(-55)*14? -36 -555*4/(-180)*(-6)/2 -37 Calculate ((-84)/27)/((-5950)/(-5355)). -14/5 (-4416)/552*(-2)/(-32)*1/(4/(-520)) 65 What is 1/((-560)/(-192)*(-64)/40)? -3/14 (426/4260)/(35/168*4) 3/25 What is the value of (((-10)/(-4))/(-4*(-125)/(-500)))/(2/76)? -95 266/665*10/(-8)*464/8 -29 (-5)/((-70)/(-6))*7/1*(-24)/112 9/14 What is the value of ((((-3)/10)/(-3))/((-4200)/15750))/((-57)/(-2))? -1/76 What is ((1/14)/((608/133)/32))/(22/(-4))? -1/11 Evaluate ((-2)/191)/((-128)/64)*2. 2/191 Calculate (12/4*8/60*10)/(-35). -4/35 Evaluate 4/(-90)*(288/(-336))/(18/840). 16/9 What is the value of 5/((946/(-5203))/((-2)/6*(-84)/(-35)))? 22 ((14*21/(-15435))/((-1)/5))/(30/(-140)) -4/9 What is -11*-77*57/627? 77 Evaluate (-50)/(-20)*(16/14)/((-28)/(9800/(-125))). 8 Evaluate (-28)/12*-3*196/84*(-36)/(-966). 14/23 What is the value of (32/24)/((-1165)/(-45435))? 52 Calculate ((-120)/(-648)*-33)/(-5*1). 11/9 What is ((-21)/14)/(1074/13604)? -19 What is the value of 3/(((-1)/(-9))/(6764/(-3204)))? -57 Calculate 4*(-175)/10640*-19. 5/4 What is the value of 228/608*(-1440)/(-3105)? 4/23 14364/(-152)*(-96)/(-144) -63 What is (-8*18/(-32))/((-1)/(-4)*1)? 18 Calculate ((-657)/146*2*3/(-18))/((-402)/(-67)). 1/4 What is 4/(-380)*((-1855)/(-42))/(-53)? 1/114 Calculate 63/(-108)*(150/(-60))/((-5)/6). -7/4 What is ((-246)/(-533))/(96/32*6/78)? 2 Evaluate -34*7/(-24)*(-2)/2*(-82)/287. 17/6 -3*17*((-40)/540)/((-63)/567) -34 Calculate (4*34/(-4))/((-2268)/(-72)*(-71)/(-639)). -68/7 1603758/55302*(3/2)/((3/2)/(-3)) -87 (-4*(-7)/70)/((-223046)/(-4870)) 2/229 Evaluate 1425/300*12*16/9120. 1/10 Evaluate (-59*14/(364/(-26)))/1. 59 What is (-11)/((-65)/26*10/(-700)*-14)? 22 What is 7291/(-1585)*5/2? -23/2 (((-378)/225)/1)/((-153)/(-1190)*21/9) -28/5 3685/(-268)*540/297 -25 What is (-20)/8*208*53/(-7420)? 26/7 What is the value of ((-
{ "pile_set_name": "DM Mathematics" }
**2*(c - 2)*(3*c + 2) Let k(b) = 2*b**2 + 11*b + 18. Let q be k(-3). Factor 4/5*n**5 + 0 + 6/5*n**4 + 0*n + 0*n**2 + 2/5*n**q. 2*n**3*(n + 1)*(2*n + 1)/5 Suppose 5*t = -4 + 19. Let o be t/(-9)*3 + 1. Determine m, given that 1/4*m**3 + 1/2*m**4 + o - 1/4*m - 1/2*m**2 = 0. -1, -1/2, 0, 1 Solve -4*i + 3*i**2 - i**5 + 3*i**5 + 5*i**3 - 3*i**5 + 0*i**4 - 3*i**4 = 0. -4, -1, 0, 1 Let a = -157/12 + 55/4. Factor 7/3*x**3 - 16/3*x**2 + 11/3*x - a. (x - 1)**2*(7*x - 2)/3 Let l = 101 - 1009/10. Let w(q) be the second derivative of 0*q**3 + l*q**5 + 0*q**4 + 0 + 1/6*q**6 + 1/14*q**7 + 0*q**2 - q. Factor w(o). o**3*(o + 1)*(3*o + 2) Factor -2/11*t**5 - 6/11*t**4 + 2/11 + 4/11*t**2 - 4/11*t**3 + 6/11*t. -2*(t - 1)*(t + 1)**4/11 Solve 0 + 219/4*p**4 - 3/4*p**2 - 3/2*p + 105/4*p**5 + 117/4*p**3 = 0 for p. -1, -2/7, 0, 1/5 Let d(k) be the third derivative of 0 - 4/15*k**5 + 2*k**2 + 0*k + 1/12*k**4 + 1/12*k**6 + 2/3*k**3. Factor d(m). 2*(m - 1)**2*(5*m + 2) Let p(t) = t + 10. Let s be p(-8). Factor 3*d**2 - 3*d**3 - 4*d**4 - d**2 - d**s. -d**2*(d + 1)*(4*d - 1) Let r(v) be the first derivative of v**3/3 - 3*v**2/2 + 2*v + 11. Suppose r(a) = 0. What is a? 1, 2 Suppose -2*h + 3*k = 6 + 6, 5*h = -4*k - 7. Let m be (3 + -2)*0/h. Factor -d**2 + 1/2*d - 1/2*d**5 + 0 + m*d**3 + d**4. -d*(d - 1)**3*(d + 1)/2 Let p(r) = r**3 + 8*r**2 + 4. Let t be p(-8). Suppose h = -2*h. Factor -2/3*d**t - 2/9*d**5 + h*d + 0 - 2/3*d**3 - 2/9*d**2. -2*d**2*(d + 1)**3/9 Let v be (-1 - -1)/(1 + -3). Let q(r) be the first derivative of 0*r**2 + 1/9*r**3 + 0*r - 3 - 1/15*r**5 + v*r**4. Factor q(t). -t**2*(t - 1)*(t + 1)/3 Let x(g) be the third derivative of 1/24*g**4 + 0*g - 1/6*g**3 + 1/30*g**5 + 1/336*g**8 + 0 - 1/210*g**7 - g**2 - 1/60*g**6. Find s, given that x(s) = 0. -1, 1 Let k(w) be the first derivative of -w**4 - 24. Factor k(b). -4*b**3 Let u(l) = l**2 + 6*l - 7. Let b be u(-7). Factor b*z + 2/5*z**5 - 2/5*z**3 - 2/5*z**2 + 0 + 2/5*z**4. 2*z**2*(z - 1)*(z + 1)**2/5 Let m(p) be the first derivative of -6*p**5/5 + 21*p**4/20 + 3*p**3/5 + 65. Factor m(c). -3*c**2*(c - 1)*(10*c + 3)/5 Let k(i) be the first derivative of 1/15*i**3 - 3*i - 1/50*i**5 + 1 + 1/5*i**2 - 1/30*i**4. Let f(q) be the first derivative of k(q). Factor f(y). -2*(y - 1)*(y + 1)**2/5 Let j be (1/(-1) + -2)/(2 - 3). Let -6/5 + 24/5*t**2 + 3*t**j + 3/5*t = 0. What is t? -1, 2/5 Let n = -57 + 62. Let s(o) be the third derivative of -1/480*o**6 + 0*o**3 + 1/840*o**7 + 0 + 0*o**n + 3*o**2 + 0*o**4 + 0*o. Factor s(g). g**3*(g - 1)/4 Factor 1/5*x + 1/5*x**2 - 6/5. (x - 2)*(x + 3)/5 Let z(c) = 2*c**2 - 9*c - 7. Let i(y) = y + 7. Let m(x) = 2*x + 13. Let j(n) = 11*i(n) - 6*m(n). Let s(t) = -14*j(t) + 2*z(t). Factor s(a). 4*a*(a - 1) Let q(b) = 5*b**4 - 4*b**3 - b**2 + 7*b + 7. Let h(p) = -2*p**4 + 2*p**3 - 3*p - 3. Let y(i) = 14*h(i) + 6*q(i). Factor y(s). 2*s**2*(s - 1)*(s + 3) Let n(v) be the second derivative of v**7/98 - 3*v**6/70 + 9*v**5/140 - v**4/28 + 3*v. Find u such that n(u) = 0. 0, 1 Let w(c) be the third derivative of -1/15*c**5 + 0 - 8*c**2 - 2/105*c**7 + 1/2*c**4 + 4/3*c**3 - 1/10*c**6 + 0*c. Factor w(p). -4*(p - 1)*(p + 1)**2*(p + 2) Find a, given that -4*a - 30*a**2 + 200*a**5 - 187*a**3 - 16*a**2 - 8*a**2 - 270*a**4 - 45*a**3 = 0. -1/4, -1/5, 0, 2 Suppose -4*k + 24 = -k. Factor -25*l**2 - k - 10*l - 2 + 9. -(5*l + 1)**2 Let s(v) be the third derivative of v**5/12 + 17*v**4/24 + v**3 - 18*v**2. Let s(g) = 0. Calculate g. -3, -2/5 Let m(x) be the second derivative of x**5/100 + 7*x**4/60 + x**3/2 + 9*x**2/10 - 10*x. Suppose m(c) = 0. Calculate c. -3, -1 Let c(p) be the third derivative of -1/330*p**5 + 1/132*p**4 + 0*p - 3*p**2 + 0 + 1/1155*p**7 - 1/660*p**6 + 0*p**3. Factor c(f). 2*f*(f - 1)**2*(f + 1)/11 Let y(j) be the third derivative of 7*j**8/80 - 11*j**7/50 - 17*j**6/200 + 73*j**5/100 - 4*j**4/5 + 2*j**3/5 - 3*j**2. Let y(t) = 0. What is t? -1, 2/7, 1 Suppose 3*v + 10 = 10. Let u(g) be the second derivative of v*g**3 - 3*g - 1/75*g**6 + 0*g**2 + 0*g**5 + 0 + 1/30*g**4. Factor u(j). -2*j**2*(j - 1)*(j + 1)/5 Let q(z) = -z**2 + 5*z + 7. Let n be q(6). Let h be (5 - n)/((-4)/(-2)). Determine x so that 0 + 0*x**h + 0*x + 8/11*x**4 - 2/11*x**3 = 0. 0, 1/4 Let i(t) = -t - 4. Let w be i(-5). Let x be w/4 - (-7)/(-28). Factor -1/3*v + 0*v**2 + 1/3*v**3 + x. v*(v - 1)*(v + 1)/3 Let r(d) = d**2 + d + 2. Suppose 5*p = 4*p. Let l be r(p). Factor -j**4 - j + l*j**3 + j**4 - j**5. -j*(j - 1)**2*(j + 1)**2 Let t = 609 - 607. Determine s so that -9*s**t - 3/2 - 3/2*s**4 + 6*s**3 + 6*s = 0. 1 Let k = -37/19 - -206/57. Factor -k*v**3 + 4/3*v + 0 - 8/3*v**2. -v*(v + 2)*(5*v - 2)/3 Suppose -13 - 7 = -5*p. Let r(y) = 3*y**2 - y + 1. Let s be r(1). Find w such that 0*w + 0 + 0*w**2 - 1/2*w**p - 1/2*w**s = 0. -1, 0 Let a = -39 - -43. Suppose a*s - 20 = -s. Factor 9/5*h**s - 6/5*h**3 + 0*h + 0 - 3/5*h**2. 3*h**2*(h - 1)*(3*h + 1)/5 Let m(i) = 4*i. Let j(z) = z**2 - 4*z. Let r(l) = -6*j(l) - 5*m(l). Factor r(v). -2*v*(3*v - 2) Let w be 0/(-2) - 166/(-126). Let q = 1/63 + w. Factor 2/3*n + 4/3*n**2 + 0*n**3 - 2/3*n**5 - q*n**4 + 0. -2*n*(n - 1)*(n + 1)**3/3 Let a(k) be the first derivative of -k**7/945 - k**6/540 - 7*k**2/2 + 1. Let w(d) be the second derivative of a(d). Determine q, given that w(q) = 0. -1, 0 Suppose 2*u = -3*g + 5, -4*u - 15 = -g + 10. Let 3*b**2 + 0*b**2 - 4*b**2 + b**4 - 3*b**3 + 2*b**3 + b**g = 0. What is b? -1, 0, 1 Factor 8*f**3 - 20*f**2 - 1 + 17/2*f. (f - 2)*(4*f - 1)**2/2 Suppose 0 = 3*w + 36 - 0. Let g be ((-24)/(-16))/((-9)/w). Factor -24/5*a + 18/5*a**g + 8/5. 2*(3*a - 2)**2/5 Let -1/2*g**2 - g**3 + 0 + 1/2*g**4 + g = 0. Calculate g. -1, 0, 1, 2 Factor 40/3*u + 100/3 + 4/3*u**2. 4*(u + 5)**2/3 Let g(s) be the third derivative of s**6/96 - s**5/80 - s**4/8 - s**3/6 + 16*s**2. Factor g(b). (b - 2)*(b + 1)*(5*b + 2)/4 Factor 4*o**4 + 3*o**3 + 0*o**3 + 4*o**3 - 3*o**3. 4*o**3*(o + 1) Let f = 18 + -16. Let -f*l**2 + 4 - 5*l - 6*l**2 + l = 0. Calculate l. -1, 1/2 Let t(v) = -v - 6. Let l be t(-8). Factor -4*u + 2 - 4 + u**2 - 1 - l*u**2. -(u + 1)*(u + 3) Let t = 8 - 4. Let u be (-50)/(-18) + 12/54*1. Determine k so that -2/3*k**t - 1/3*k**5 + 1/3*k + 0 + 2/3*k**2 + 0*k**u = 0. -1, 0, 1 Let x(c) be the third derivative of -c**6/660 + c**5/330 + c**4/66 - 5*c**2. Suppose x(j) = 0. What is j? -1, 0, 2 Let g(n) = n**3 - n - 1. Let k be g(2). Suppose f = -0*f - k*c - 10, -3 = -3*f - 4*c. Factor f*a**4 + 4*a**4 + a**5 + a**2 + 3*a**3 - 6*a**4. a**2*(a + 1)**3 Let u be 1/8 + 104/(-832). Factor u*j + 3/7*j**5 + 0 + 1/7*j**2 - 5/7*j**4 + 1/7*j**3. j**2*(j - 1)**2*(3*j + 1)/7 Let p be (-35 - -38) + (-6)/2 + 0. Find x, given that 1/4*x**2 - 1/2*x + p = 0. 0, 2 Let p(i) be the third derivative of -2*i**7/105 - 7*i**6/60 - 3*i**5/10 - 5*i**4/12 - i**3/3 + 14*i**2. Solve p(n) = 0. -1, -1/2 Let l(d) = -d**3 - 5*d**2 + 4*d - 8. Let o be l(-6). Let x = -15/11 + 67/33. Factor 2/3*g**5 - x*g**o + 2/3*g**2 + 0*g - 2/3*g**3 + 0. 2*g**2*(g - 1)**2*(g + 1)/3 Factor -3/4*a**2 + 3/4*a + 3/4 - 3/4*a**3. -3*(a - 1)*(a + 1)**2/4 Let t be (3/(-9)*0)/(-1). Let j = t + 4. Factor 4*k**j - 3*k**3 - 2 - 7*k**2 + 3 + 3*k + k**2 + k**2. (k - 1)**2*(k + 1)*(4*k + 1) Solve -1/8*m**2 + 1/2*m - 3/8 = 0. 1, 3 Let u(j) be the third derivative of -1/60*j**4 + j**2 + 0*j - 1/150*j**5 + 0 + 0*j**3. Factor u(y). -2*y*(y + 1)/5 Suppose p - 5 = -2*h, -7 = -p - 2*h - 2*h. Factor -8/3*f**2 - 2*f**p - 8/9*f + 0. -2*f*(3*f + 2)**2/9 Let r(k) = k**2 - 12*k - 26. Let o be r(-2). What is x in -1/3*x + 0*x**o - 1/6*x**4 + 1/3*x**3 + 1/6 = 0? -1, 1 Let s(b) be the second derivative of -b**4/24 - 3*b. Solve s(l) = 0. 0 Let s be (-2)/(-2) + (-16)/48. Factor 2/3*t**2 + 0 - s*t. 2*t*(t - 1)/3 Let d(s) be the first derivative of 1/2*s**2 + 1/60*s**5 - 1/48*s**6 + 5/48*s**4 + 0*s - 2 - 1/6*s**3. Let h(j) be the second derivative of d(j). Factor h(x). -(x - 1)*(x + 1)*(5*x - 2)/2 Factor 0 - 3*f**3 - 1/4*f**5 + 3/2*f**4 + 5/2*f**2 - 3/4*f. -f*(f - 3)*(f - 1)**3/4 Factor -1/3*p**2 + 0 + 1/3*p - 1/3*p**3 + 1/3*p**4. p*(p - 1)**2*(p + 1)/3 Let j = -8 - -17. Let r be 11/j - (2 + -1). Find f such that 0 - r*f**2 + 2/9*f = 0. 0, 1 Suppose 3*n = -4*y, 5*n + 3*y + 1 = 3*n. Determine d, given that 2/7*d**n + 2/7*d - 2/7*d**3 + 0 - 2/7*d**2 = 0. -1, 0, 1 Factor 1/2*t**4 +
{ "pile_set_name": "DM Mathematics" }
n - 8. Calculate b(z). -6 Suppose -4*u + 10 = u. Suppose 0 = -k + 4*c - 8, -k + 4*c - 2*c = -u. Suppose 0 = -0*p - 4*p + k. Let l(o) = o**3 - 3*o**2 + 2*o - 1. Determine l(p). 5 Let f(z) be the second derivative of z**4/4 - z**3/3 + z**2/2 + 4*z. Let t = -31 + 17. Let l be (-18)/(-14) + 4/t. Determine f(l). 2 Let s(i) = -i**2 - 5*i - 3. Let r be (-16)/(-10) - (-14)/35. Suppose -5*x - 5*g - 30 = 0, -g = -x + r*g + 2. Give s(x). 1 Let k be 3/((-3)/(-4)) + -2. Let v be (-8 + 10)*(-3)/(-2). Let r(z) = -v*z**k + 2 - 1 + z + 4*z**2 - z**3. Give r(2). -1 Let m(h) = -h**3 + h**2 + 2*h - 4. Let y(d) = d**2 + 2. Let t be y(-1). Calculate m(t). -16 Let x(k) = -k**3 + 4*k**2 - 2*k - 7. Let a be x(3). Let c(z) = 2*z**2 + 4*z - 4. What is c(a)? 12 Let j(l) be the second derivative of l**4/12 + 3*l**3/2 - 3*l**2/2 + 26*l. Give j(-8). -11 Let g(n) be the second derivative of -n**5/20 - n**4/3 - n**3/6 - n**2/2 + 10*n. Let l be 66/(-15) - (-12)/30. Give g(l). 3 Let y(q) = q**3 + q**2 + 1. Let i(p) be the first derivative of -p**4/2 + p**3/3 + p**2/2 - 2*p - 5. Let t be i(1). Determine y(t). -3 Let h(x) = -3*x - 12. Let l be h(-5). Let o(q) = q**3 - 5*q**2 + 5*q + 9. Let p(j) = 2*j**3 - 5*j**2 + 4*j + 10. Let b(t) = l*o(t) - 2*p(t). Calculate b(-6). 1 Let h(d) = 2*d**2 + 32*d - 1. Let p be h(-16). Let n(u) = 4*u - 2. Calculate n(p). -6 Let r = 9 + -8. Let x(l) = 2*l**2 + l**3 - 2*l - r - 4 + 4. Determine x(-2). 3 Let b(s) = s**3 - 7*s**2 + 6*s + 5. Let p(v) = -7*v**3 - 2*v**2 - v. Let c be p(-1). Determine b(c). 5 Let i = 23 + -14. Suppose -3*v + 4 + 2 = 0. Suppose -v*p - i = -5*p. Let a(f) = 2*f - 4. Calculate a(p). 2 Let k = -5 - -4. Let n(f) = -13*f**3 - f**2. What is n(k)? 12 Let q(t) = -t - 7. Let w be 9/2*(-16)/(-24). Suppose 2 = w*r + z + 20, 4*z = -12. Calculate q(r). -2 Suppose 84*b = 80*b. Let n(u) = u**2 + u - 2. Calculate n(b). -2 Let w(m) = 3*m**2 - 3*m - 3. Suppose -4*j - 4*q = 0, 2*q = 2*j + q - 9. What is w(j)? 15 Let r(m) = 26*m + 20. Let q(o) = -o**2 + 8*o + 10. Let b be q(7). Let f(g) = 9*g + 7. Let z(t) = b*f(t) - 6*r(t). Give z(3). -10 Let a(m) = 4*m + 27. Let n(c) = -c**2 - 4*c - 2. Let k be n(-4). Let y(d) = -d - 7. Let u(j) = k*a(j) - 9*y(j). Give u(-6). 3 Let h(f) = -17*f**2 + 14*f - 11. Let j(n) = n**2 + 1. Let q(x) = 10*x**2 - 7*x + 7. Let a(d) = -2*j(d) + q(d). Let z(w) = -13*a(w) - 6*h(w). What is z(5)? -14 Let r(a) = -2*a**2 + 4*a - 4*a + 0*a**2 - 1. Suppose 0 = -x - 2*x - 12. Let f(w) = -w**2 - 4*w + 1. Let l be f(x). Calculate r(l). -3 Let o(v) = 0*v + 5*v - 2*v + 2*v - v**2 + 2. Determine o(3). 8 Let f(t) = -t - 10. Let n be f(-12). Let g(h) = 2 - 7*h**n + h**3 - 2 - 3 + 4*h + 1. Give g(6). -14 Let o = -10 + 14. Let f = o - 9. Let w(z) be the third derivative of z**4/12 + 7*z**3/6 - z**2. What is w(f)? -3 Suppose -2 = -2*k + k. Let v(f) = k*f - 5*f - f. Let s = 4 - 6. Calculate v(s). 8 Let p(s) be the first derivative of 5*s**2 + s - 6. Give p(-1). -9 Let a(n) = -n + 21 - 46 + 19. Give a(-5). -1 Let v(g) be the second derivative of 5*g**4/12 - g**3/6 - 34*g. What is v(1)? 4 Let g(y) = 5*y - 3*y - 2 + 1. Determine g(2). 3 Let q(x) be the third derivative of -x**4/24 + 4*x**3/3 + 13*x**2. Give q(8). 0 Let h(r) = 5*r + 4. Let d(z) = 11*z + 8. Let u(w) = 3*d(w) - 7*h(w). What is u(-5)? 6 Let z(g) = -7*g + 5*g**2 + 15 - 6*g**2 + 8 - 24. Determine z(-7). -1 Let h(u) = -u + 6. Let t be h(0). Let l(a) = a**2 - a**2 + a**3 - t*a**2. Give l(6). 0 Let i(d) be the first derivative of -d**4/4 - d**3 + d**2 + 2*d + 7. Determine i(-3). -4 Let i(p) = -p. Let q(x) = -5 - 4 - x**2 - 10*x + 2. Let u(s) = -4*i(s) + q(s). Let j be 38/(-8) + 2/(-8). Give u(j). -2 Let q(o) = o - 5. Suppose 3*c - 48 = -5*v, -3*c + v + 4*v = -18. Suppose 5 = p, 7*p - 2*p + c = -4*l. Let m = -3 - l. What is q(m)? 1 Suppose 5*x - 3*p = -10, 0*p = x - 4*p + 19. Suppose 0 = k - 3 - x. Let m(z) = z**3 - 6*z**2 + 7*z - 4. Determine m(k). -8 Let x(i) = 1 + 5*i - 4 + 0 + 4. Determine x(-2). -9 Let q(f) = 6 - 5*f**3 - 4*f + 15*f**3 - 5*f**2 - 9*f**3 - f**2. Give q(6). -18 Let t(z) = -z**3 + z**2 - z - 8. Let q be (16/28)/(4/14). Let g be 18/27 + q/(-3). What is t(g)? -8 Suppose 0 = -2*t + 3*t - 1. Let g(v) = -11*v**2 + v. Calculate g(t). -10 Suppose -k + 6*k - 30 = 0. Suppose 0 = -2*w + k, -4*r - 3*w - 2*w + 7 = 0. Let x(u) be the first derivative of u**4/4 - u**3/3 - u**2 + u - 13. Give x(r). -7 Suppose -d + 3*l + 7 + 0 = 0, 5*d + 2*l + 33 = 0. Let o(z) be the third derivative of -z**4/24 - 5*z**3/3 + z**2. Calculate o(d). -5 Let y(a) = -a. Suppose -2*v = 3 - 1. Let p be 1*(v - 0)*2. Calculate y(p). 2 Let g = -2 + 5. Let q(b) = 2 - 5 + 0*b - g*b. Determine q(3). -12 Let n(u) = 2 - 2*u**2 - 1 - 3 - 2*u. Suppose 5*w = -4*z + 12, 16 = -6*z + 8*z + 5*w. What is n(z)? -6 Let u(d) = -d**3 + 3*d**2 - 2*d - 1. Let h be u(2). Let s(o) = -4*o**2 - 2*o - 1. What is s(h)? -3 Let f(m) be the third derivative of m**4/8 + m**3/3 - 2*m**2. What is f(-2)? -4 Suppose 5*z + 0*z = -3*d + 49, 0 = 5*d - 3*z - 93. Let r = -3 - -4. Let u(o) = -d*o - r + 4 + 17*o - 2. What is u(-3)? 4 Let p(w) be the third derivative of -w**4/12 - w**3/2 + 4*w**2. Let r(a) = -3*a - 4. Let d(x) = 4*p(x) - 3*r(x). What is d(-5)? -5 Let s(n) = n**2 - 6*n - 4. Let v(d) = -d - 1. Let u(z) = -z**2 + 2*z + 2. Let p be u(4). Let k be v(p). Determine s(k). -9 Let m(x) be the third derivative of -x**4/24 + 2*x**3/3 + 2*x**2. Let f(w) = -1. Let b(l) = 2*f(l) + m(l). What is b(0)? 2 Let u = -4 + 10. Let j be (1 - 3)/((-4)/u). Let v(m) = m**3 - 3*m**2 + 2*m - 1. Determine v(j). 5 Let j(y) = 5*y**2 - 9*y + 11. Let a(d) = 6*d**2 - 9*d + 12. Let f(n) = 4*a(n) - 5*j(n). Calculate f(6). 11 Let w(o) = 2 + o - 4 + 5. Suppose -k = -5*p - 2*k - 25, 0 = -k. Let t be w(p). Let y(l) = -4*l - 1. Determine y(t). 7 Suppose 5 = -5*p + 15. Let q(b) = -b**3 + 2*b**2. What is q(p)? 0 Let n(i) be the first derivative of i**4/4 - 5*i**3/3 + 5*i**2/2 - 5*i + 28. Give n(5). 20 Let q = 49 - 44. Let v(u) = -u**3 + 6*u**2 - 2*u - 4. Determine v(q). 11 Let v(g) = g**2 + 5*g - 3. Let o be v(-4). Let c(p) = p + 8. Determine c(o). 1 Let g(u) = u**2 - 2*u + 1. Let l(o) = o**3 + 6*o**2 + 4*o - 3. Let v be l(-5). What is g(v)? 1 Let d = 2 - -3. Let i(k) be the third derivative of 2*k**2 + 0 - 1/24*k**4 + 0*k + k**3. Calculate i(d). 1 Let k(m) = 2*m**3 + m**2 + 2*m + 1. Let x(d) = -d**2 - 8*d + 10. Let n be x(-10). Let c be 6/(-4) + n/(-20). Calculate k(c). -2 Let z(m) be the third derivative of -m**2 + 0 + 1/8*m**4 + 0*m + 1/60*m**5 - 1/2*m**3. Calculate z(-4). 1 Let l(n) be the first derivative of 2 + 1/3*n**3 + 6*n - 4*n**2. Determine l(5). -9 Let r be -4 - (-3)/6*8. Let h(m) = -5*m**2 + 1 - m + r*m - 3*m**2. What is h(1)? -8 Let a(z) = -z**2 - 6*z - 3. Let x(i) = 5*i**2 + 25*i + 11. Let p(l) = 9*a(l) + 2*x(l). Calculate p(4). -5 Suppose 0 = 3*s + 2*s - 15. Suppose s = -v + 6. Let a(c) = c**3 - 2*c**2 - 4*c. Let y be a(v). Let g(p) = -p**2 - 4*p. Give g(y). 3 Let w(r) = r**2 + 7*r + 4. Let u(m) = m**2 + 6*m + 3. Let n be u(-2). Give w(n). -6 Let w(a) be the third derivative of a**6/120 - a**5/12 - a**4/12 - 2*a**3/3 - 49*a**2. What is w(6)? 20 Let q(l) = 12*l + 5. Let t(c) = -30*c - 12. Let d(m) = 12*q(m) + 5*t(m). Determine d(2). -12 Let m(t) be the second derivative of t**4/12 - 5*t**3/6 - t**2/2 - t. Let l be m(5). Let p(y) = 4*y**2. Let c be p(l). Let o(h) = -h**2 + 4*h - 5. Give o(c). -5 Let x(j) = -j - 1. Let c be x(-7). Let s(t) = t**2 - 4*t - 5. Give s(c). 7 Let q(i) be the first derivative of -i**4/4 + 2*i**3 - 3*i**2/2 - 5*i - 19. Determine q(5). 5 Let t(w) be the second derivative of -w**4/12 + w**3 - 3*w**2 + 2*w. Suppose 0 = -0*q + 5*q - 20. Determine t(q). 2 Let z(g) = g**2 + 4*g + 4. Suppose 0 = 3*j - 2*i + 12, -3*j - 3*i = -7*j - 15. What is z(j)? 16 Let d(j) = 7 + 4*j - 1 + 8*j**2 - 9*j**2 + 0. Determine d(5). 1 Let v(x) = x - 4. Let u be v(0). Let r = u - 0. Let p(z) = -z**2 - 4*z. What is p(r)? 0 Let m(v) = -8 - 4*v - 3*v + 6*v. Determine m(-7). -1 Let k(y) be the third derivative of -y**4/24 + y**3/2 + y**2. Let m(z) = -4*z - 73. Let p be m(-19). Determine k(p). 0 Let p(i) = -4*i + 12. Let z(l) = 6 + 12 - 12*l + 17. Let x(n) = -8*p(n) + 3*z(n). Determine x(6). -15 Let h(j) = -j**2 + 4*j + 3. Let l = 145 - 140. Give h(l). -2 Let w(m) = 3*
{ "pile_set_name": "DM Mathematics" }
583.44 What is the product of 331 and 302? 99962 -19 * -1.60848 30.56112 What is 0.032 times -25730? -823.36 What is 12378 times -3.7? -45798.6 Calculate 0.1*-0.83024. -0.083024 What is the product of -48 and -6.537? 313.776 -11.41596*-2 22.83192 Work out -6403 * -0.002. 12.806 -0.3 times 1144404 -343321.2 Calculate -4723*-824. 3891752 -1*-218119 218119 What is 16 times 21358? 341728 Calculate 73*140. 10220 -63663*4 -254652 -5.4 times -1206 6512.4 Calculate -980851*0.5. -490425.5 0.5*693.7 346.85 -0.69 times 17002 -11731.38 What is the product of -0.406 and -10.21? 4.14526 -2.3*6994 -16086.2 What is the product of -0.3953 and -0.21? 0.083013 What is the product of 167642 and -0.2? -33528.4 What is 6 times 8247? 49482 -5*-78092 390460 17*0.01174 0.19958 Calculate -49.45*-260. 12857 Work out -0.5 * 12837. -6418.5 2876 times 20 57520 Multiply -0.09 and -228512. 20566.08 What is 0.1663 times 0.559? 0.0929617 Multiply -0.46 and 0.14144. -0.0650624 What is 29542.67 times -1? -29542.67 Work out -0.03 * 10146. -304.38 What is 634.36 times 6? 3806.16 1.545*-1.583 -2.445735 -10.653 * 0.18 -1.91754 334*80 26720 0.23 times 4448 1023.04 0.1*-480149 -48014.9 0.05*15695 784.75 Work out 0.2 * 7263. 1452.6 -13.5 * -475 6412.5 11276 * -0.057 -642.732 Product of -78 and 18349. -1431222 Work out 0.3 * 1.7088. 0.51264 What is the product of 4078 and -43? -175354 0.01888 times -222 -4.19136 -1 times 2.6918 -2.6918 Work out 4954.2 * -0.4. -1981.68 What is 1733 times -1.64? -2842.12 Product of 1.11 and 1109. 1230.99 Calculate -1*-66.4986. 66.4986 What is the product of -16135.39 and -3? 48406.17 -0.662851 * -0.3 0.1988553 Product of 0.3 and -1156.38. -346.914 -3.2865 * -8 26.292 Calculate -0.203*52. -10.556 Multiply 0.087 and 2357. 205.059 What is the product of 30 and 2.852? 85.56 -4 times 8212.38 -32849.52 What is the product of 138375 and -0.22? -30442.5 0.07*4.1714 0.291998 Work out 0.04 * -57.47. -2.2988 Work out 54.4 * -0.011. -0.5984 Multiply 3699590 and 0.1. 369959 What is 6643 times -2.8? -18600.4 Work out -0.2 * -37150. 7430 Calculate -5200*-0.071. 369.2 Multiply 5 and 3.9263. 19.6315 Multiply 300 and 7690. 2307000 0.2685 * -0.64 -0.17184 Calculate 5.144*7. 36.008 -2 times -60817 121634 Calculate -170035*-0.2. 34007 -50.8 times 1.1 -55.88 What is -1401.11 times -1.6? 2241.776 Multiply -61.423 and 4. -245.692 Multiply -0.2 and -7405. 1481 What is 31290 times -0.2? -6258 Work out 1.25 * -2547. -3183.75 Multiply -2.38 and -368. 875.84 Multiply -124.9484 and 1. -124.9484 What is the product of -207100 and -2? 414200 2.624 * 12 31.488 -0.4*5494 -2197.6 What is the product of 42 and -0.01966? -0.82572 10804*-8 -86432 Work out 5022.3 * -0.02. -100.446 What is the product of -16.88 and -7? 118.16 What is the product of 5 and 13618? 68090 Calculate -0.0157735*-1. 0.0157735 What is 3 times -14451? -43353 Work out 336 * -1072. -360192 What is the product of -379 and -2587? 980473 What is 6 times -0.05616? -0.33696 Calculate 10*0.029484. 0.29484 What is 0.0062 times 207? 1.2834 What is 5 times -14524? -72620 What is the product of -2 and 19175? -38350 -290 times -0.5976 173.304 What is 5 times 2150.4? 10752 Product of -0.46 and 8088. -3720.48 Multiply 1317 and -0.369. -485.973 Product of 1.3 and 5925. 7702.5 -11722*55 -644710 Calculate 107401*-4. -429604 What is -268.9644 times -1? 268.9644 -3.03 * 0.0547 -0.165741 Multiply 23 and -7872. -181056 Calculate -0.07*41923. -2934.61 Product of 57163 and -2. -114326 330*0.001 0.33 Product of -0.58 and -2580. 1496.4 Multiply -0.0261 and -1.22. 0.031842 Multiply 611 and 2.04. 1246.44 Calculate -0.403*5.183. -2.088749 Multiply 0.7 and 6815. 4770.5 What is -0.31896 times 0.06? -0.0191376 -0.2 * -262.5 52.5 Multiply 1.5 and -0.1137. -0.17055 What is the product of -330377 and 0.3? -99113.1 Multiply 280084 and 0.2. 56016.8 Work out -271.77 * 246. -66855.42 Product of 4.52 and 9.9. 44.748 What is the product of -1.427 and -38? 54.226 Calculate 0.159001*-0.5. -0.0795005 Work out -22725 * 80. -1818000 -1.7 times 0.1761 -0.29937 Work out -0.3 * -264492. 79347.6 0.69 times 16.279 11.23251 17 times 0.001167 0.019839 -6.10242 times -0.3 1.830726 222447.2 times -4 -889788.8 Calculate -0.030854*0.1. -0.0030854 Calculate -5*-45122. 225610 Product of -3518 and -0.01. 35.18 What is 0.6863 times 3.5? 2.40205 What is the product of 3586340 and -3? -10759020 0.2 times 0.1327 0.02654 70556.8*4 282227.2 -8.6114*-0.4 3.44456 Multiply -4 and 10007. -40028 Work out -867.33 * -12. 10407.96 What is the product of 1 and -24943? -24943 0.282443 * 1 0.282443 What is the product of 1.4 and -43012? -60216.8 119*-257 -30583 Work out -0.05741 * 0.4. -0.022964 Calculate -11812*23. -271676 -0.06 * 11104 -666.24 Work out 12 * -233.1. -2797.2 755 times -1.481 -1118.155 What is the product of -187014 and 0.8? -149611.2 What is the product of -225 and 0.0227? -5.1075 Multiply -18.8 and 0.0783. -1.47204 Product of 260602 and 11. 2866622 -1472*-3 4416 16402 * -0.2 -3280.4 Calculate 613*-64. -39232 What is the product of -0.1 and -318.35? 31.835 Product of -9.26 and 26. -240.76 Work out -88 * 6.1. -536.8 Product of -0.6 and -470. 282 Work out 1215 * 6. 7290 -3.1 times 1945.73 -6031.763 Calculate 7.7*0.104. 0.8008 -90.6*345 -31257 Calculate -41355*-10. 413550 Multiply 2896.7 and 88. 254909.6 Work out -99.602 * -0.8. 79.6816 412*-330.3 -136083.6 3005 times 15.1 45375.5 -1972 * 13 -25636 What is -2.9984 times 0.4? -1.19936 209466 * 0 0 Multiply 28.5 and -728. -20748 Product of 1.12166 and -4. -4.48664 -142.504 * -0.5 71.252 Work out 0.05 * 210379. 10518.95 Calculate -0.9*-665. 598.5 Calculate 2035518*-0.4. -814207.2 Work out -862 * 0.014. -12.068 -7 * -98.63 690.41 73.1 times -34 -2485.4 What is the product of 136 and 0.0849? 11.5464 Work out 4 * 0.5219. 2.0876 0.4 times 29465 11786 Product of -5 and -0.12159. 0.60795 Work out -0.46 * 1846. -849.16 -2.6*-7.4054 19.25404 What is the product of -16.23 and 152? -2466.96 What is the product of -5 and 264.1? -1320.5 747*-3.4 -2539.8 Calculate 26*-2841. -73866 Product of -6.979 and 0.39. -2.72181 Product of -7 and -0.0947. 0.6629 What is -1182 times 0.069? -81.558 Multiply -9 and 396037. -3564333 What is 109 times 3.3902? 369.5318 -0.25 * 22.51 -5.6275 -27 times 654.1 -17660.7 Work out -3.6 * -68442. 246391.2 Multiply 0.018 and -1990.8. -35.8344 0.99*-0.07965 -0.0788535 What is -17131 times 15? -256965 13 times 0.026 0.338 1264 * -1225 -1548400 Product of 1.2129 and 1.18. 1.431222 Work out -2728 * 0.77. -2100.56 -29 * -390 11310 What is the product of -0.04725 and -153? 7.22925 0.2 * 1655 331 Multiply -327366 and -0.2. 65473.2 -5 times -0.29218 1.4609 428657 times 1 428657 -9*-38137 343233 -2 * -732.7 1465.4 What is the product of -2 and 80458? -160916 Calculate 0.21*23453. 4925.13 What is the product of 0.05 and 32456? 1622.8 What is the product of -0.06 and 1.066? -0.06396 Work out -79.95 * -0.4. 31.98 Product of -0.2623 and -26. 6.8198 Product of 1658 and -190. -315020 What is the product of -2 and -16517? 33034 Product of -544 and -8341. 4537504 -0.2 * 1.776 -0.3552 -0.3 * 122453 -36735.9 Multiply 73893 and -13. -960609 -69 times -723.1 49893.9 -27*48880 -1319760 Calculate -2.74*1729. -4737.46 Product of -1.5 and 104.017. -156.0255 What is the product of -1.24277 and -5? 6.21385 Calculate 636954*0.3. 191086.2 Product of 1 and -157466. -157466 0.3 * -29460 -8838 Multiply -0.14472 and 0.1. -0.014472 2*-33635 -67270 Product of -43945 and 48. -2109360 Work out -1.54 * 0.39757. -0.6122578 What is the product of 8777 and 0? 0 Work out -1 * 546347. -546347 Calculate -0.29*10.7. -3.103 Work out -3 * 0.12944. -0.38832 Multiply -0.04 and 74327. -2973.08 Multiply 3541 and -1.59. -5630.19 0.037782*0.3 0.0113346 -0.317 * 240 -76.08 What is -461 times 969? -446709 Work out -135.4862 * 0.5. -67.7431 Product of -0.2096 and 0.4. -0.08384 Multiply 4 and 59.683. 238.732 What is the product of 11 and -111? -1221 What is 0.7 times -2.43115? -1.701805 Work out -24777 * -5. 123885 4*1.66334 6.65336 Work out 1359 * 269. 365571 -824*12.78 -10530.72 What is the product of -7267 and 2.1? -15260.7 Product of -484 and -0.01. 4.84 -211 * 49 -10339 Calculate -1190*-208. 247520 Product of -0.2 and 0.029734. -0.0059468 117.812*-0.5 -58.906 Calculate
{ "pile_set_name": "DM Mathematics" }
90? True Does 597 divide 95025684? True Is 107838955 a multiple of 173? False Is 302211375 a multiple of 185? True Is 69306051 a multiple of 227? True Does 1675 divide 5595563625? True Does 9 divide 39375000? True Is 40 a factor of 118776002? False Does 3370 divide 1813843349? False Is 1088 a factor of 56774016? True Is 1270 a factor of 10493098? False Does 1195 divide 335129385? True Is 299877298 a multiple of 7? True Is 28215551 a multiple of 7? True Does 1465 divide 36622070? True Does 490 divide 735861420? True Does 12 divide 1281433463? False Does 77 divide 1385627628? True Is 3 a factor of 4624718? False Does 57 divide 158704644? True Does 403 divide 775709714? True Does 635 divide 1021003800? True Does 5 divide 6739322? False Does 50 divide 10057650? True Is 250 a factor of 23084291? False Is 44285468 a multiple of 13? False Does 742 divide 259604175? False Does 143 divide 53513174? True Is 323786814 a multiple of 78? True Is 9 a factor of 4012320267? True Is 501 a factor of 5894866? False Is 40341540 a multiple of 460? True Is 1529 a factor of 220938802? False Is 51805425 a multiple of 525? True Is 3081070 a multiple of 5? True Does 32 divide 12442227? False Does 23 divide 14828576? False Is 128 a factor of 725388036? False Is 7 a factor of 299817660? False Is 6 a factor of 708498558? True Is 44 a factor of 73615541? False Is 2356589550 a multiple of 16? False Is 254535873 a multiple of 2391? False Is 22889433 a multiple of 399? True Does 120 divide 4898543880? True Is 2233 a factor of 346246518? False Is 10 a factor of 19567487? False Does 1930 divide 127794950? True Is 2367022586 a multiple of 5146? False Is 38071800 a multiple of 18? True Is 530862262 a multiple of 14? True Is 2 a factor of 252417186? True Is 113193126 a multiple of 54? True Does 53 divide 2045488307? True Is 17 a factor of 1065511448? True Is 16 a factor of 52219192? False Is 2683999197 a multiple of 11? True Is 822474141 a multiple of 249? True Is 8611701 a multiple of 1071? False Is 7254 a factor of 1342040778? True Is 8 a factor of 68010368? True Does 304 divide 5676153? False Is 269 a factor of 11476347? True Is 3 a factor of 1321143? True Is 104 a factor of 6733272? True Is 7 a factor of 15757385? True Does 350 divide 259085050? True Does 12 divide 288596988? True Is 2484 a factor of 77446152? True Is 1136 a factor of 609643665? False Does 42 divide 17839064? False Does 906 divide 116979096? True Is 7042347 a multiple of 75? False Is 1152324597 a multiple of 4148? False Does 1433 divide 21032319? False Is 62851086 a multiple of 9? True Does 77 divide 364577521? True Is 9023 a factor of 1259879557? False Is 2346126688 a multiple of 60? False Is 295 a factor of 2755950180? True Is 4460293562 a multiple of 6? False Is 722 a factor of 30138135? False Is 475841682 a multiple of 74? True Does 707 divide 418403307? True Is 40487668 a multiple of 596? False Is 10 a factor of 19647950? True Is 1422 a factor of 2755548756? True Does 17 divide 16966663? True Does 18 divide 236153096? False Is 37 a factor of 12152028? False Is 43 a factor of 193745461? False Is 152569936 a multiple of 105? False Is 289317600 a multiple of 180? True Is 31 a factor of 144587503? True Is 19 a factor of 15493648? False Is 156 a factor of 156951444? True Is 2033191634 a multiple of 461? True Is 5 a factor of 22930138? False Does 139 divide 13606432? True Does 5787 divide 1597634451? True Is 151 a factor of 3163647961? True Does 575 divide 392279959? False Is 1531684011 a multiple of 759? True Is 92 a factor of 248624940? True Does 2555 divide 409874739? False Is 25326044 a multiple of 166? False Is 3 a factor of 85816854? True Does 2818 divide 1838770991? False Is 2534 a factor of 334127? False Does 8 divide 20586148? False Is 4612 a factor of 1187031948? True Is 23 a factor of 6307796? True Does 16 divide 5639569540? False Is 445613792 a multiple of 272? True Is 2570 a factor of 14878706? False Is 662 a factor of 480252761? False Is 614173 a multiple of 6? False Is 35 a factor of 40410036? False Is 305 a factor of 61238510? True Is 51934296 a multiple of 2? True Does 16 divide 37676160? True Is 91 a factor of 428154150? False Is 210499377 a multiple of 2? False Does 518 divide 1062947396? True Is 4182 a factor of 819257982? True Is 4 a factor of 20816141? False Is 3156493320 a multiple of 23? True Is 5 a factor of 157880783? False Is 125829769 a multiple of 1430? False Is 41939527 a multiple of 5? False Does 702 divide 102888071? False Is 6315534 a multiple of 515? False Does 25 divide 143918975? True Is 404688398 a multiple of 15? False Does 17 divide 747865037? True Is 29 a factor of 16682283? False Is 75 a factor of 249037650? True Is 1068 a factor of 5356568385? False Is 21 a factor of 44369565? False Is 25 a factor of 6966729? False Is 3 a factor of 11895959? False Is 1342 a factor of 115079184? True Is 11 a factor of 348116726? False Is 159436842 a multiple of 365? False Does 81 divide 53543030? False Is 289346493 a multiple of 33? False Is 41069900 a multiple of 590? True Is 1386 a factor of 949550953? False Is 8 a factor of 396864992? True Does 313 divide 1576367417? False Is 157 a factor of 632793490? False Does 14 divide 1181542513? False Is 1194685127 a multiple of 17? False Does 9 divide 979344630? True Is 4467732 a multiple of 99? False Does 52 divide 37912888? True Is 19020232 a multiple of 4082? False Does 21 divide 396959619? True Does 18 divide 301284853? False Is 25073613 a multiple of 683? True Is 396 a factor of 333111661? False Does 57 divide 28462053? False Does 613 divide 135891006? False Is 60 a factor of 2026663620? True Is 4139968 a multiple of 3? False Does 17 divide 28764612? True Does 4576 divide 157922336? True Is 827019272 a multiple of 4808? True Is 1442487729 a multiple of 185? False Does 750 divide 196434750? True Does 7 divide 264619895? False Does 49 divide 592100768? False Does 13 divide 227202756? False Is 25704000 a multiple of 280? True Does 949 divide 527557641? True Is 271692510 a multiple of 411? False Is 106729312 a multiple of 436? True Is 1802 a factor of 2605565860? True Is 31 a factor of 104314922? False Is 541 a factor of 98811486? True Is 199901648 a multiple of 23? True Is 1478 a factor of 169965566? True Is 365708414 a multiple of 54? False Does 11 divide 56601765? True Does 4189 divide 329896317? True Does 1051 divide 546900462? True Is 21751992 a multiple of 482? False Is 43 a factor of 527597315? True Does 49 divide 92148224? True Is 1540711868 a multiple of 87? False Does 117 divide 9545211? True Is 753852309 a multiple of 49? True Does 790 divide 1109373109? False Is 1703875772 a multiple of 133? False Is 95539291 a multiple of 570? False Does 144 divide 14876064? True Is 9350246 a multiple of 129? False Is 28193616 a multiple of 36? True Is 63 a factor of 1509696? False Does 59 divide 4566131179? False Does 30 divide 136794681? False Does 242 divide 35208338? True Is 22 a factor of 471391140? True Is 1106 a factor of 67196710? False Does 87 divide 27699843? True Does 26 divide 1069822? True Does 30 divide 17008905? False Is 67349356 a multiple of 52? False Is 2 a factor of 17038563? False Is 10 a factor of 567537786? False Is 244488681 a multiple of 6299? False Is 705251620 a multiple of 13? False Is 4643275 a multiple of 169? True Does 7394 divide 426486562? False Does 8 divide 581082? False Is 279 a factor of 1539215109? False Is 1867548598 a multiple of 157? True Is 150074498 a multiple of 276? False Does 9419 divide 1071189079? False Is 7 a factor of 317985864? True Does 672 divide 732698386? False Is 10 a factor of 266945950? True Does 2687 divide 39955690? True Is 140 a factor of 37826500? False Does 2 divide 1911794? True Does 30 divide 40848000? True Does 3296 divide 3765713139? False Is 172507743 a multiple of 9? True Is 185422339 a multiple of 557? False Is 43 a factor of 70081701? True Does 144 divide 139076899? False Does 1067 divide 619906799? False Is 85 a factor of 1074060510? True Does 340 divide 10231280? True Is 6128 a factor of 1626745008? True Is 671 a factor of 111620367? False Does 1550 divide 76545200? True Is 40 a factor of 42112355? False Does 7 divide 1753304? True Is 207 a factor of 1510497009? True Is 6
{ "pile_set_name": "DM Mathematics" }
ime number? True Is (-1 - (2 + -1))/(3703312/(-336664) - -11) prime? False Let v be -1 - -36 - (-1 - (-2 - -2)). Suppose 2*p = -4*g + 40 - 0, 0 = -4*p + 3*g + v. Is (679/(-4) + 9/p)/(-1) a composite number? True Suppose 2*c - 10307 = 3247. Suppose 9*w - 11682 = c. Is w a composite number? True Let f(a) = 3346*a**2 - 15*a + 15. Is f(4) composite? True Let k = -65405 - -136932. Is k prime? True Let d(g) = -g**2 - 21*g + 4 + 0*g**2 + 31 - 49*g**3 - 122*g**3. Is d(-8) a prime number? True Suppose -14 - 18 = -4*s. Suppose s*k = 2569 + 655. Suppose 0 = -4*w + 1465 + k. Is w prime? True Suppose 4*g = o + 7804, -2*g - 765 = -2*o - 4667. Suppose 0 = -2*n + p + g, n - 8*p = -4*p + 993. Is n prime? False Let c = 23808 + -37314. Is (3/18)/((-1)/c) a prime number? True Let i be 15039 - 11/((-33)/21). Let d = 8101 + i. Is d composite? True Suppose 4*m - 1259524 = 22*f - 21*f, 5*f = -m + 314881. Is m composite? True Let h(d) = 229*d - 25 + 75 - 11 + 12. Is h(8) a composite number? True Let h(u) = -52*u**3 + 4*u**2 + 4*u - 18. Let q(v) = -53*v**3 + 4*v**2 + 5*v - 19. Let j(m) = -6*h(m) + 5*q(m). Is j(5) composite? True Let y be 2 + 333/15 + (-1)/5. Suppose g - 4*g = -y. Is (-3 + 396/g)/(12/16) prime? False Let a(r) = 7721*r - 40. Let s be a(6). Suppose 2*k - 4*o = s, o + 46277 = 6*k - 4*k. Is k a composite number? True Let o = 99671 + -68356. Is o prime? False Let l(p) = -1067*p + 27. Let t(y) = 2136*y - 53. Let k(s) = 9*l(s) + 4*t(s). Let w(x) = x**3 - 6*x**2 + 3*x + 6. Let h be w(5). Is k(h) prime? False Let b(m) = 340*m - 1356. Let f be b(4). Let d = 5 - 1. Suppose -3152 = -2*u + d*t, -t - 9246 = -f*u - 2949. Is u prime? False Let f(d) = -512*d - 18. Suppose -14 = 3*c + 7. Is f(c) prime? False Let v(b) = -5*b**3 + 670*b**2 - 25*b + 43. Is v(-18) a composite number? True Let x(l) = 2*l**3 - 10*l**2 + 2*l + 37. Is x(18) a prime number? False Let n(u) = 103*u**3 - 16*u**2 - 46*u - 16. Is n(15) composite? True Is (-16561 + -9 + 12)*1/(-2) a composite number? True Is 1 - 5 - -83*(-115063)/(-13) composite? True Let x = 519404 - 193511. Is x a composite number? True Let k(y) = -y + 7. Let m be k(5). Suppose -4*l - 4*i + 55844 = 0, 6*i - 2*i = m*l - 27928. Let g = -7819 + l. Is g a composite number? False Suppose 12*j = 759343 + 2766822 - 742129. Is j a prime number? True Let h(t) = -3*t**2 + 9*t - 3. Let m be h(4). Let j be (42*(-2)/m)/(2/4485). Is j/22 - (4/(-22))/1 a prime number? True Suppose 2*u - 1001 = 1807. Let t = u - 548. Let a = -243 + t. Is a prime? True Let z = -30 + 32. Suppose -z*r = -135 - 69. Let b = r + 11. Is b a prime number? True Let g be (12/(-9 + 7))/(-3 + 1). Suppose -2*b + 5*d + 2386 = 0, -2414 = -2*b + d - g*d. Suppose 2*w - 2*i - 1309 = b, 6301 = 5*w + 2*i. Is w a prime number? True Suppose 5*n + z - 4*z = -28, 3*n + 4*z + 11 = 0. Is (-4)/(10/n) + -3 + 4752 a prime number? True Suppose -4*v + 17*v = 19799. Is v/5 + (-2)/(-5) a prime number? False Suppose -22*z + 12*z = -120. Let v be -644*(3 - ((-195)/z - 1)). Is v/(-6) + (-2)/4 composite? True Let z = 759 - 715. Suppose -v + 23953 = -4*m, -39*v = -z*v - 5*m + 119790. Is v a prime number? True Let m(d) = -9*d**3 + d**2 - 11*d - 9. Let x be m(-5). Let v = x - 495. Is v prime? True Suppose -2*n = 1375 - 4665. Suppose -3*l + 4*c = -n - 6896, -15 = 5*c. Is l a prime number? True Let x = -27 - -147. Suppose -3*b + x = 3*b. Suppose 0 = b*f - 6*f - 2002. Is f prime? False Suppose 4*v - 1 = 3*v + 2*u, 0 = v - 5*u + 5. Suppose -v*r - r = 702. Let f = -60 - r. Is f a composite number? True Suppose -2*j - j - 26880 = 3*h, -3*j - 26880 = h. Let z = -1557 - j. Is z a composite number? True Let o(d) = -d**2 + 7*d + 17. Let c be o(6). Suppose 0 = -c*i - 13*i + 362052. Is i a composite number? True Let b(c) = 22*c**3 + 17*c**2 - 171*c + 2027. Is b(15) a prime number? False Suppose 10517787 = 170*x - 120983. Is x composite? False Let h be (334 + -1)/(6/248 - 0). Let l = h - 9277. Is l a prime number? False Suppose -8*d = -6*d. Suppose -2*b - 8 = d, 5*k + 555 = -b + 5106. Is k a composite number? False Suppose -3*s - 5*j + 25199 = 0, 0 = -0*j + j - 1. Let z = 20491 + s. Is z a composite number? True Suppose -15*p = -116264 - 1480081. Is p prime? False Let m(b) = -116*b**3 - 5*b**2 - 7*b + 1. Let v be (-36)/(-48) - 30/8. Is m(v) a composite number? False Is (3*-1)/(853536/284528 - 3) composite? False Suppose g - 3057 = 1851. Suppose 3*f - l = g, 0 = 2*f - 3*l - 2*l - 3259. Is f a prime number? True Let q(m) = -273*m + 18. Let l(t) = 4*t - 33. Let c be l(7). Is q(c) prime? False Suppose -5 = 7*s - 12*s. Let b be 135/30 + (-2)/4 + s. Suppose -8*c + 10*c = 5*p - 2401, 0 = -4*p + b*c + 1914. Is p a prime number? False Let i(t) = -16 + t + t + 13 - 21. Let r be i(13). Suppose r*j + 5*u - 131 = 0, -2*u + 74 = 4*j - 148. Is j composite? False Let o = 125 - 101. Suppose -6*a = 6*a - o. Is (-214518)/(-30) + a/5 composite? False Let s(m) be the second derivative of -3*m**5/20 - 11*m**4/12 - m**3 - 15*m**2/2 - 167*m. Is s(-8) a composite number? True Suppose 896 = -16*z + 24*z. Suppose 117*w - z*w = 12185. Is w a composite number? False Let b(m) = 6977*m**2 + 12*m - 10. Is b(-3) a prime number? False Let h(c) = 425*c**2 - 5*c - 197. Is h(-8) composite? False Let x be (4 - 4)/(4 + -3). Suppose 3*v - 2695 - 6392 = x. Suppose -3*p - i + 3*i + v = 0, 2*p + 2*i = 2016. Is p a prime number? True Let j = 6 - 76. Is (-329330)/j - (6/21)/(-1) composite? True Let o(g) = -8*g + 146. Let u be o(16). Suppose 3*f - 20213 = 2*d, -u*d = -5*f - 14*d + 33687. Is f composite? True Let k(p) = -17*p**3 + 3*p**2 + 2*p + 8. Let y be k(-4). Suppose c - 155 = -y. Let n = -142 - c. Is n a prime number? True Suppose 6*z - 8375 + 2717 = 0. Suppose -3*s + z = -4442. Let t = -618 + s. Is t composite? True Let c = 680 + -673. Suppose c*z - 2607 - 16160 = 0. Is z prime? False Suppose -64807 = -5*u + 4*t, 229*t + 25933 = 2*u + 224*t. Is u a prime number? True Suppose 8 = l + 1. Suppose 0 = -2*p + l*p. Suppose p = -8*m + 3329 + 3927. Is m a prime number? True Let q(w) be the first derivative of 22*w**2 - 122*w + 41. Is q(15) composite? True Let x(w) = w**3 + 60*w**2 + 117*w + 65. Let i be x(-58). Suppose 37843 + 19130 = i*a. Is a prime? False Let z(g) = 2132*g**2 - 7*g - 20. Let v be z(-4). Suppose -v = -0*m - 8*m. Is m a composite number? True Suppose -326*k + 84328277 = 22229515. Is k a composite number? True Let p(j) = 5*j**3 + 16*j**2 - 20*j + 28. Let g be p(12). Let q = g - 5991. Is q prime? False Suppose l - 12 = -10. Suppose -3047 = -l*q + 5*d, 0 = -2*q - q - d + 4528. Is q a composite number? False Suppose 378*c - 372*c - 351606 = 0. Is c a prime number? True Let x(f) = f**2 + 14*f - 15. Let d be x(-12). Let g = -35 - d. Is -178*(15/(-2) + g) composite? True Suppose -321 = 11*m + 405. Is 207/6*(-10516)/m composite? True Is 6/4*11054566/393 a prime number? True Let w = -10176 - -5328. Is (2 - 3)*(-13 + w) a prime number? True Let r(q) = -12*q**2 - q + 23. Let d(a) = -13*a**2 - a + 21. Let p(g) = 4*d(g) - 5*r(g). Is p(18) a prime number? True Suppose 4*i - 3370802 = -2*y, -6*y - 255865 - 1429543 = -2*i. Is i composite? False Is (-342)/(-18 - 0) - -18918 prime? False Let c be (200 - 4 - 3)*26. Let p = 8805 - c. Is p prime? False Suppose 4*s + 770302 = 16*h - 10*h, -5*s + 25 = 0. Is h composite? True Let a be -56 + 61 + 1/1 + -4. Suppose -19505 = -5*i + 2*o, 34*i = 32*i - a*o + 7788. Is i a composite number? True Let r be 0*(9/7 + (-4)/14). Suppose -3*d - 3 = 4*h + 8, 2*d - h = r. Let i(p) = 374*p**2 - p - 2. Is i(d) a composite number? False Is (49809/6)/(-15 - (-465)/30) composite? False Suppose 28*x - 258861 = 144815. Let d = x + -2410. Is d a prime number? True Let v(z) be the first derivative of z**3/3 - z**2 + 5791*z + 33. Is v(0) composite? False Let s = 30 - -1. Let b = s - 30. Let l(n) = 517*n. Is l(b) a composite number? True Suppose 35*j = 17*j + 26190. Let i = j + -368. Is i a composite number? False Let q = 11028 + -2967. Suppose -q - 2740 = -7*p. Is p a composite number? False Let m = -1128 + 674. Let r = 760 + m. Suppose -3*a = -9*a + r. Is a a composite number? True Suppose -858*h - 4999416 = -882*h. Is h a composite number? False Let m = 295 - 280. Let s(x) = 6*x**2 + 15*x + 82. Is s(m) composite? False Suppose 5*h = 5*x - 1
{ "pile_set_name": "DM Mathematics" }
l + 4)*(11*l + 2)/9 Find s, given that -2*s**4 + 8*s**2 - 16 + 2*s**4 + 12*s - 3*s**3 - 3*s**4 + 2*s**4 = 0. -4, -2, 1, 2 Let k(o) be the second derivative of 14*o + 1/42*o**4 + 0 + 25/7*o**2 - 10/21*o**3. Factor k(s). 2*(s - 5)**2/7 Let m(h) be the second derivative of 21*h - 3/8*h**3 + 0 + 1/16*h**4 + 3/4*h**2. Factor m(v). 3*(v - 2)*(v - 1)/4 Factor -3*a**2 - 5*a**3 + 0 - 10*a - 1 + 7*a**3 + 13 - a**2. 2*(a - 3)*(a - 1)*(a + 2) Let m = 2380 + -52351/22. Let z(r) be the first derivative of 2/11*r**2 + 0*r + 3 + 14/33*r**3 - m*r**4. Solve z(f) = 0. -2/9, 0, 1 Solve 3456 - 1/4*y**3 + 18*y**2 - 432*y = 0. 24 Let t = 83198/13 + -6404. Let a = t - -175/39. Factor 2/3*v + 1 - a*v**2. -(v - 3)*(v + 1)/3 Factor 0*c + 0 - 6/5*c**2 + 16*c**3. 2*c**2*(40*c - 3)/5 Let p(h) be the first derivative of -h**3 - 15*h**2 - 48*h - 125. Determine f, given that p(f) = 0. -8, -2 Let b = 5 - -13. Suppose -u + 4*u = 4*n + b, -2*u - n + 1 = 0. Factor 6*l - 3*l**2 + 2*l**3 - 2*l**2 - 2 - 2*l**2 + l**u. 2*(l - 1)**3 Let g(c) be the first derivative of c**5/50 + 57*c**4/40 + 419*c**3/15 + 168*c**2/5 - 784*c/5 - 453. Let g(j) = 0. Calculate j. -28, -2, 1 Let k(f) be the first derivative of -f**5/330 + 5*f**4/132 - 4*f**3/33 + 3*f**2 + 14. Let p(j) be the second derivative of k(j). What is x in p(x) = 0? 1, 4 Factor -55*i**3 + 51 + 57*i**3 + 70*i - 1 + 22*i**2. 2*(i + 1)*(i + 5)**2 Let u(j) = j**2 - 3. Let i(a) = 2*a**2 - 19*a - 9. Let q(w) = 5*i(w) - 15*u(w). Solve q(t) = 0 for t. -19, 0 Let y(x) be the first derivative of -x**7/2100 + x**6/300 - x**5/100 + x**4/60 - 7*x**3/3 - 13. Let f(l) be the third derivative of y(l). Factor f(m). -2*(m - 1)**3/5 Suppose 5*g = 26 - 1. Let p(r) be the third derivative of -11/60*r**g + 0*r + 2/105*r**7 - 1/3*r**3 - 6*r**2 + 0*r**6 + 0 - 3/8*r**4. Factor p(l). (l - 2)*(l + 1)*(2*l + 1)**2 Suppose r - 2*m = 3 + 9, 4*r + 4 = -5*m. Let j be ((-1)/(-14))/(5/20). Determine k, given that -4/7 + 2/7*k - 2/7*k**r + 6/7*k**2 - j*k**3 = 0. -2, -1, 1 Let b(i) = i**2 - 15*i + 2. Let g be b(15). Suppose -2*s = 2*m - 16, -s = m - 2*m + g. Factor 0 - 1/2*h - h**2 - 1/2*h**s. -h*(h + 1)**2/2 Let g(r) be the first derivative of -r**5/5 - 5*r**4/2 + 23*r**3/3 + 120*r**2 - 576*r + 23. Factor g(p). -(p - 3)**2*(p + 8)**2 Let h(u) = -9*u**3 + 19*u**2 + 5*u - 11. Let s(w) = 100*w**3 - 210*w**2 - 55*w + 120. Let j(d) = 45*h(d) + 4*s(d). Factor j(i). -5*(i - 3)*(i - 1)*(i + 1) Let y**4 + 34*y**3 + 19*y**4 + 13*y**4 - 4*y**3 + 3*y**5 = 0. What is y? -10, -1, 0 Let h = 7 + -2. Factor 2*q - 3 + q - 6*q**2 + 3*q**4 + 3*q**h + 6 - 6*q**3. 3*(q - 1)**2*(q + 1)**3 Let t(v) be the first derivative of 0*v - 4 + 4/15*v**6 + 0*v**2 + 0*v**3 + 2/25*v**5 + 0*v**4. Find w, given that t(w) = 0. -1/4, 0 Let l be -24*738/(-2448) + -7. Factor -26/17*x**2 + l*x + 0. -2*x*(13*x - 2)/17 Let y = 110235/4 + -27230. Let z = -328 + y. Let -9/4*c**3 + 0 - 9/4*c**2 - z*c**4 - 3/4*c = 0. Calculate c. -1, 0 Let m(s) be the second derivative of -s**4/36 - 4*s**3/3 + 26*s**2/3 - 3*s - 126. Factor m(v). -(v - 2)*(v + 26)/3 Let j be 66/(-4)*2584/(-342). Let h = j - 124. Factor 0 + 2/9*l**2 - h*l. 2*l*(l - 3)/9 Let v(n) be the third derivative of n**6/840 + n**5/210 - n**4/168 - n**3/21 - 33*n**2 + 2*n. Factor v(u). (u - 1)*(u + 1)*(u + 2)/7 Find w such that -40*w**4 - 94*w**3 + 5*w**2 + 5*w**2 + 4 - 13*w**2 - 18*w**2 + 16*w = 0. -2, -1/2, -1/4, 2/5 Let o(k) = 21*k**2 - 80*k + 320. Let l(w) = -46*w**2 + 160*w - 640. Let b(m) = -4*l(m) - 9*o(m). Factor b(p). -5*(p - 8)**2 Suppose 21*a - 27*a + 12 = 0. Let x(c) be the second derivative of 0 + 0*c**3 - 1/105*c**6 + 1/294*c**7 + 5*c + 1/140*c**5 + 0*c**a + 0*c**4. Factor x(y). y**3*(y - 1)**2/7 Let x be (90/495)/((-2)/(-22)). Let h(i) be the second derivative of -x*i + 1/3*i**4 - 4/15*i**6 - 5/3*i**3 + 2/5*i**5 + 2*i**2 + 1/21*i**7 + 0. Factor h(r). 2*(r - 2)*(r - 1)**3*(r + 1) Let r = -207 + 159. Let i be 2*(-3)/(r/20). Factor -i*n - 2*n**2 - 1/2. -(n + 1)*(4*n + 1)/2 Let j = 55840 - 55834. Factor 4*o + j + 2/3*o**2. 2*(o + 3)**2/3 Factor -172/3*m + 3698 + 2/9*m**2. 2*(m - 129)**2/9 Suppose -29*a - 39*a + 8*a = -2*a. Factor 0 - 3/4*u**3 + a*u - 3/4*u**2. -3*u**2*(u + 1)/4 Let x(z) = z**2 - 7*z - 10. Let k be x(9). Determine q, given that 25*q**3 + 33*q**3 - 12*q - k - 54*q**3 = 0. -1, 2 Let i(x) be the third derivative of x**5/24 + 5*x**4/48 - 5*x**3/6 + 4*x**2 - 2*x. Solve i(r) = 0. -2, 1 Factor 0*g**2 - 3*g**3 - 4*g**2 + 11*g**3 - 2*g**4 - 2*g**4. -4*g**2*(g - 1)**2 Let k = 0 + 3. Let q(i) = i**3 + i**2 + i + 1. Let g(y) = 4*y**3 + 6*y**2 + 5*y + 3. Let a(d) = k*q(d) - g(d). Find x such that a(x) = 0. -2, -1, 0 Let l = -32457/25 + 1298. Let f = 71/75 + l. Factor -4/9 + 0*d**2 - f*d + 2/9*d**3. 2*(d - 2)*(d + 1)**2/9 Suppose 0 = -4*j + 12, -5*j = -5*h - 45 + 5. Let d = -2 - h. Find r such that -4*r**d + 5*r**3 - 3*r**2 + 3*r**2 + r**2 = 0. -1, 0 Let u(t) be the first derivative of 20/3*t**3 + 2*t**2 - 4*t + 1 + 3*t**4. Let u(z) = 0. Calculate z. -1, 1/3 Find j, given that -8 + 42/5*j - 2/5*j**2 = 0. 1, 20 Suppose 55/2*n - 15*n**2 + 5 = 0. Calculate n. -1/6, 2 Let w(r) = 103*r**4 - 646*r**3 - 165*r**2. Let x(j) = j**5 - 103*j**4 + 647*j**3 + 166*j**2. Let t(d) = 3*w(d) + 4*x(d). Solve t(o) = 0. -1/4, 0, 13 Let z be (-48)/(-70) + ((-8)/(-28) - 288/420). Find g, given that -z*g + 0 + 2/7*g**2 = 0. 0, 1 Let f(l) be the third derivative of 6*l**2 - 4/3*l**3 + 0*l**4 - 1/120*l**5 + 0 + 1/360*l**6 + 0*l. Let w(x) be the first derivative of f(x). Factor w(k). k*(k - 1) Let r(l) be the first derivative of l**6/33 + 18*l**5/55 - l**4/2 - 6*l**3/11 + 10*l**2/11 + 203. Find u such that r(u) = 0. -10, -1, 0, 1 Let j(m) = 2*m - 1. Let i be j(4). Let p be (-40)/(-14) - (-1)/i. Find n such that 0*n + n - n**2 + 1 + 2*n - p*n**2 = 0. -1/4, 1 Let i(n) be the first derivative of n - 1/7*n**2 + 1/21*n**4 + 1 + 0*n**3 + 0*n**5 - 1/105*n**6. Let z(c) be the first derivative of i(c). Factor z(g). -2*(g - 1)**2*(g + 1)**2/7 Let n(b) = 5*b - 25. Let r be n(-4). Let x be -45 - r - (-6 + 1 + 1). Factor -1/5*a**5 - 1/5*a**3 + 2/5*a**x + 0*a**2 + 0*a + 0. -a**3*(a - 1)**2/5 Let m be 2*(6 - (-23106)/(-3822)). Let k = 12/49 + m. Factor 4/13*u**2 - k*u - 2/13*u**3 + 0. -2*u*(u - 1)**2/13 Suppose 1286 = 54*z + 1124. Find s such that -4/3*s + 1/3*s**z - 4/3 + 1/3*s**2 = 0. -2, -1, 2 Suppose 0 = 2*y + y. Suppose y = 5*k - 3 - 17. Find c, given that 4*c**2 + 3*c**5 - 5*c**k - 2*c + c**4 - c**5 + 0*c**4 = 0. -1, 0, 1 Suppose 2035*r**2 - 421*r**4 + 82 + 18 + 49*r**5 - 24 - 680*r - 2285*r**3 + 1226*r**4 = 0. What is r? -19, 2/7, 1 Let w(c) be the third derivative of -1/42*c**7 + 5/12*c**4 - 4*c**2 + 0*c**3 + 1/4*c**5 + 6 + 0*c + 0*c**6. Factor w(u). -5*u*(u - 2)*(u + 1)**2 Factor -2*d**2 + 1/4*d**3 + 2 - 1/4*d. (d - 8)*(d - 1)*(d + 1)/4 Let 1/4*i**4 + 5/4*i + 0 + 7/4*i**3 + 11/4*i**2 = 0. Calculate i. -5, -1, 0 Let d = -71 + 73. Factor 0*l**5 - 6*l**d - 2*l**3 + 6*l**4 + 0*l**4 + 3*l**5 - l**3. 3*l**2*(l - 1)*(l + 1)*(l + 2) Let m(k) be the third derivative of k**5/24 + 445*k**4/24 + 39605*k**3/12 - 325*k**2. Suppose m(s) = 0. Calculate s. -89 Let d be ((-18)/(-8))/((-498)/(-664)). Let q(y) be the first derivative of -1/2*y**4 - 48*y**2 + 1 + 128*y + 8*y**d. Find x, given that q(x) = 0. 4 Suppose 20 = 4*c - 8*d + 5*d, -2*d = -3*c + 14. Factor 2/5*v**4 + 12/5*v**3 + 4*v + 6/5 + 24/5*v**c. 2*(v + 1)**3*(v + 3)/5 Let u(a) be the third derivative of 0*a**3 - 1/20*a**5 + 1/200*a**6 + 0 + 3/40*a**4 + 13*a**2 + 1/350*a**7 + 0*a. Factor u(y). 3*y*(y - 1)**2*(y + 3)/5 Let v(o) be the third derivative of -1/8*o**5 + 1/20*o**6 + 0*o + 0 + 0*o**3 - 1/140*o**7 + 10*o**2 + 1/8*o**4. Factor v(w). -3*w*(w - 2)*(w - 1)**2/2 Let b(g) = 5*g**3 + 79*g**2 + 153*g + 75. Let m(t) = -25*t**3 - 392*t**2 - 764*t - 375. Let p(i) = -11*b(i) - 2*m(i). Determine d so that p(d) = 0. -15, -1 Let 156*l**3 - 3814*l**4 + 2509*l**2 + 3575*l**2 + 3815*l**4 = 0. Calculate l. -78, 0 Let z(g) be the second derivative of -g**4/66 - 146*g**3/33 - 5329*g**2/11 + 370*g. Suppose z(n) = 0. What is n? -73 Factor 7/5*c**2 + 16/5*c + 0. c*(7*c + 16)/5 Suppose -20*t - t - 18*t = -117. Factor 0 + 5*n**4 + 0*n + 4/3*n**2 - 25/6*n**5 + 6*n**t. -n**2*(n - 2)*(5*n + 2)**2/6 Let n(y) = 3*y - 10. Let b(g) = -g + 3. Let j(o) = -7*b(o
{ "pile_set_name": "DM Mathematics" }
*2 - 22*w + 69. Let j(d) = 5*d**2 - 43*d + 110. Let v(u) = 3*j(u) - 5*l(u). Calculate v(-5). -45 Let u(x) = -x**3 + 12*x**2 + 12*x + 10. Suppose -h = -5*n - 37, -7*n = -8*n + 2. Suppose i = 4*g - h, 3*g - 2*i + 4 = 33. Calculate u(g). -3 Let w(q) = q + 7 + 7*q - 9*q. Suppose 0 = 5*c + 2*f - 26, 34*f - 14 = -4*c + 29*f. Calculate w(c). 1 Let a(q) = 287*q - 1813. Let f(v) = -19*v + 119. Let x(d) = -6*a(d) - 91*f(d). Calculate x(-23). -112 Let q(z) = 5*z**2 + 8*z. Let p(w) = 9*w**2 + 15*w. Let y(x) = -6*p(x) + 11*q(x). Suppose 30*v = 31*v - 195. Suppose -v*f = -194*f - 3. Determine y(f). 3 Let a(v) = 18*v - 58. Suppose -j + 5*k + 3 = 0, 4*k = 55*j - 59*j + 60. Calculate a(j). 176 Suppose 4*s + 2*c - 16 = 0, 5*c - 5 = -5*s + 10. Let p(v) = -s + 12 - 3 + 2 + 6*v - 3 - v**2. Calculate p(3). 12 Let t(i) = -i**2 - 14*i + 96. Suppose 4*q + 288*g + 70 = 291*g, -g + 150 = -8*q. Give t(q). 1 Let j(x) = 2*x - 2527 + 1305 + 1273. Let u be j(-26). Let z(n) = -8*n**2 + n + 1. Determine z(u). -8 Let z(t) = -2*t + 26. Let g be z(13). Let x(c) = c**3 - c**2 + 2*c - 6. Let k be x(g). Let s(v) = v + 5. Determine s(k). -1 Let z be (1*(-9)/6)/(36/(-96)). Let l(r) = 57*r - r**2 - 114*r + z + 46*r. Determine l(-12). -8 Let l(w) = w**2 + 7*w - 7. Suppose 0 = x - b - 9, 2*x + 0*b = 3*b + 22. Suppose 0 = h - x - 1. Suppose -h*t = 13 + 23. Determine l(t). -13 Let b be (-9)/6 - 8/(-16). Let h(f) = f**2 - f - 1. Let a(n) = 13 + 17 + 12*n**2 + 3*n - 38 + 10. Let w(d) = b*a(d) - 3*h(d). Calculate w(-1). -14 Suppose -7*a + 1 = -8*a. Let r(h) = 14*h + 28. Let t(x) = x + 2. Let g(u) = a*r(u) + 12*t(u). What is g(-3)? 2 Let f(y) = -8*y**2 - 147*y - 22. Let v(x) = -17*x**2 - 308*x - 41. Let c(t) = 13*f(t) - 6*v(t). What is c(-31)? -9 Let m = 35689 - 35688. Let u(w) = 16*w**3 - 3 + 2*w**2 + 2*w**3 + 2. Calculate u(m). 19 Let i(j) = j**3 - 5*j**2 - 104*j - 5. Let y(h) = -6*h**2 - 182*h - 68. Let t be y(-30). Determine i(t). -5 Let x(m) = -m - 8. Let c(l) = 2*l**2 + 35*l + 9. Let i(y) = -y**2 - 15*y - 31. Let n be i(-14). Let t be c(n). Determine x(t). 0 Let j(t) = -t**2 - 3*t. Let x be j(-3). Let p(n) = 163*n - 2. Let d(o) = -977*o + 5. Let g(m) = -d(m) - 6*p(m). Calculate g(x). 7 Suppose j = -34 - 8. Let f be 2/7 - 5826/j. Let h(p) = p - 139 + f - 4*p. Calculate h(3). -9 Let b = 3090 - 3091. Let p(t) = 34*t**2 - 3*t - 4. Determine p(b). 33 Let q(f) be the second derivative of -f**6/120 - f**5/30 + f**4/6 - f**2 - 18*f + 1. Let b(m) be the first derivative of q(m). Determine b(-3). -3 Let n(b) be the first derivative of 889*b**2 - 441*b**2 + 29 - 144 - 447*b**2. Let c(i) = -i**2 + 2*i - 3. Let m be c(2). Give n(m). -6 Let a(n) = -25*n + 93. Let x be a(3). Suppose 2*g + x = 2*u, -6*u - 3*g = -2*u - 22. Let c(t) = -t**3 + 7*t**2 + t - 2. What is c(u)? 5 Let q(l) = -2*l**2 + 9*l + 15. Let o(f) = f**3 + 23*f**2 - 178*f + 32. Let t be o(6). What is q(t)? -41 Let n be (-32)/(3 + -5)*(-1)/(-2). Suppose 2*y = 2*c + n, -4*c - 2 = -5*y + 15. Let r(j) = 35*j**2 - 1. What is r(y)? 34 Let j(q) = 4*q + 6. Let b = 58 - 64. Let u(x) = x**2 + 9*x + 18. Let i be u(b). Let n be j(i). Let r(o) = -o**3 + 5*o**2 + 9*o - 5. What is r(n)? 13 Let c(g) = -100978*g**2 + 3 + 50491*g**2 + 50486*g**2 - 6*g. Suppose -2*x = -3*x - 7. Give c(x). -4 Suppose -6*g = -5*g - 36. Suppose -33*s = -g*s + 27. Let l(b) be the second derivative of -b**5/20 + 5*b**4/6 - b**3 - 11*b**2/2 + 2*b + 25. Determine l(s). 16 Let y(k) be the second derivative of 7*k**3/6 - 15*k**2/2 - 2*k + 4743. Give y(9). 48 Let q = -32 + 31. Let m(s) be the first derivative of s - 5/2*s**2 + 14. What is m(q)? 6 Let w(g) = -4*g + 4. Suppose 5722*u = 5721*u - 2*l - 2, 5*u + 4*l = 14. Calculate w(u). -20 Let r(m) = -37*m**2 + 21*m - 11. Let c(y) = 53*y**2 - 32*y + 20. Let z(w) = -7*c(w) - 10*r(w). Calculate z(7). 19 Let q(u) = -u**3 + 2930*u - 20*u**2 - 1402*u - 1526*u + 35. Calculate q(-20). -5 Let c(v) be the third derivative of -v**5/60 + v**4/2 - 2*v**3 + 2*v**2. Let l be (-72)/(-10) - (-396)/220. Determine c(l). 15 Let w(x) = -x**3 + 3*x**2 - 4*x + 3. Let h(b) = -b**3 + 4*b**2 - 8*b + 12. Let c be h(2). Determine w(c). -29 Let x = -22458 + 22461. Let c(r) = r**3 - 4*r**2 + 7*r + 6. What is c(x)? 18 Let p(o) = 15*o - 2. Suppose -343*d + 166*d + 173*d = -4. Give p(d). 13 Let y(d) = 3*d + 3. Let f(r) = 13*r + 9. Let z(v) = -2*v**2 - 2*v + 3. Let j be z(-2). Let x be f(j). Determine y(x). -9 Let t(i) = -i**2 + 10*i - 22. Let b(o) = o**3 + 73*o**2 + 69*o - 208. Let p be b(-72). What is t(p)? -6 Let u be (32/(-28))/(20/(-70)). Let d(x) = 4*x + 3*x + u*x - 16*x - 2. Suppose -8 = -4*o - 0. Give d(o). -12 Let i(c) = c + 21. Let p = 126 + -143. What is i(p)? 4 Let q(c) be the third derivative of c**5/4 - c**4/24 + 21*c**3 + 7*c**2 + 2. Let o(x) be the first derivative of q(x). Calculate o(1). 29 Let y be 1 + 120/3*11/(-44). Let w(x) = -x**3 - 12*x**2 - 29*x - 15. Calculate w(y). 3 Let r(f) be the third derivative of -f**4/8 + 10*f**3/3 - 4*f**2 + 11*f. Determine r(8). -4 Let s(w) = w**3 - 8*w**2 + 7*w - 7. Let z(x) = 3*x**2 - 9*x - 2. Let k be z(3). Let o = -8 - -11. Let h be (-1)/k*(-28)/(-6)*o. Determine s(h). -7 Let t = -9768 - -9767. Let p(s) = -64*s**3 - s**2 + 5*s + 5. Determine p(t). 63 Let q(s) = 5*s**3 + 4*s**2 - 9*s + 40. Let d(m) = 3*m**3 + 2*m**2 - 5*m + 24. Let w(f) = 13*d(f) - 8*q(f). Determine w(-7). -8 Let j(o) = -6*o - 4. Let l(d) = 2*d + 1. Let u(b) = 6*j(b) + 17*l(b). Suppose -58*g + 53*g = 30. Determine u(g). 5 Let i be 10/(-20) - 3*(-10)/(-12). Let y(n) = 3*n + 16. Let g(q) = -q - 5. Let m(v) = -8*g(v) - 3*y(v). Calculate m(i). -5 Let h(x) = 5*x**2 + 5*x - 5. Let s be h(-3). Suppose s = 8*y - 7. Let g(d) = 6 + d**3 + 6*d**2 - 17*d + y*d + 7*d. Determine g(-7). -1 Let f(h) = -2*h - 9. Let g be (-14)/(-49) + 3 - (-2)/(-7). Suppose -3*n + o + 213 = 0, 2*n + g*o - 26 = 127. Let u = -78 + n. What is f(u)? 3 Let f(p) = 3*p**3 - 3*p**2 + 7*p - 10. Suppose 15*c - 43 = 2. Determine f(c). 65 Let t(f) = -f**2 - 9*f - 8. Let x(w) = -w**3 - 16*w**2 + 19*w + 25. Let i(d) = -96*d - 1 - 94*d + 188*d. Let r be i(8). Let s be x(r). Calculate t(s). -8 Let p(g) be the first derivative of -g**4/4 - 11*g**3/3 + 29*g**2 - 20*g - 2840. Calculate p(-15). 10 Let u(i) be the second derivative of 31*i**3/6 - 15*i**2 - 9228*i. Determine u(4). 94 Suppose -1 = 3*q - 2*w, 21*w = 5*q + 23*w - 25. Let g(u) be the first derivative of -7 + 9*u - 3*u**2 - 1/3*u**q. What is g(-7)? 2 Let s be -1 - (2 - (-2 - -16)). Let g(t) = 2*t**2 - 21*t - 24. What is g(s)? -13 Suppose b - 3 = -7, -60 = -17*u - 2*b. Let v(r) = -r**3 + r**2 - r + 1. Let x(g) = -3*g**3 - g**2 - g - 2. Let k(z) = -4*v(z) + x(z). What is k(u)? -10 Let i(a) = a**2 - 17*a + 8. Suppose p + 75 - 91 = 0. Let v be i(p). Let g(t) = t**3 + 8*t**2 + 2*t + 12. Give g(v). -4 Let k be 3 + ((-196)/48 - (-1)/12). Let u(p) = p - 10. Let h(w) = -1. Let o(z) = k*u(z) + 5*h(z). Calculate o(5). 0 Suppose 4*u + 36 = -4*n + 12, -4*u = 4. Let d(l) be the third derivative of 5/6*l**3 + 38*l + l**2 - 1/24*l**4 + 0. Give d(n). 10 Let l(i) = 32*i**2 - i + 11. Let d(z) = -19*z**2 + z - 5. Let r(o) = -5*d(o) - 3*l(o). Give r(4). -32 Let p(g) be the first derivative of g**4/4 + g**3/3 - 7*g**2/2 + 6*g + 46. Let b be p(2). Let t(r) = r**3 - 5*r**2 - 4. What is t(b)? -20 Let m be 578/1734*(-8 - 1). Let k(q) = -q**3 - 6*q**2 - 16*q - 20. Determine k(m). 1 Let g = -10034 + 10049. Let r(s) = -s**3 + 17*s**2 - 31*s + 28. What is r(g)? 13 Suppose 28*c - 95*c = -536. Let v(m) = -4*m**2 + 30*m + 15. Let r(u) = -2*u**2 + 15*u + 7. Let t(y) = 5*r(y) - 2*v(y). Calculate t(c). -3 Suppose -3*x - 15 = -0*x, -3*r + 16 = x. Suppose 0 = 2*c + 3*m - r, -10 = -5*c - 5*m - 0. Let o = c + -3. Let z(h) = -h**3 - 4*h**2 + h + 5. Determine z(o). 1 Let r(y) = -4*y - 11. Let n be (-2)/8 - (-20258)/(-56). Let j = n - -354. Determine r(j). 21 Let w(z) = 38702 - 10*z - 77373 + 2*z**2 + 38691. Calculate w(3). 8 Let g(j) = 82*j**2 + 76 + 141 - 26*j**2 - j**3 - 186*j + 127*j. What is g(55)? -3 Let q(r) = r**3 + 19*r**2 + 18*r + 3. Let f be 0 + 1 - (-1 - 19/57*-60). What is q(f)? 3 Suppose 4*i + 8*k + 249 = 9*k, 0 = i - k + 66. Let f = i - -56. Let c(l) = 2*l + 5*l - 2 + 2*l**2 - l**3 - 5*l**2. Determine c(f). 13 Let s(x) = 2 + 15735*x - 15727*x - 2 + 1. Let q(f) = f
{ "pile_set_name": "DM Mathematics" }
x a prime number? True Suppose 4*d = -592 + 3380. Is d a composite number? True Let q = -3396 - -5153. Is q composite? True Suppose -14*m + 508371 = 144805. Is m composite? False Let u = -73 - -73. Let q(x) = 0*x + 0*x + 497 - x**2. Is q(u) prime? False Let l(k) = 365*k**3 + 5*k**2 + 8*k - 7. Let f be l(-6). Is f/(-117) - (-2)/9 a composite number? False Is (-17320)/(-7) - (-7 - 816/(-112)) prime? False Let x(m) = 53420*m**2 + 8*m + 9. Is x(-1) composite? True Let i(f) = -f**2 - f + 2. Let o be -1 + (-2)/((-2)/3). Let y be i(o). Is 33/1 - y/(-2) a prime number? True Suppose 13*i = 40925 + 87762. Is i prime? False Let q(a) = a**2 - 22*a + 291. Is q(-31) a prime number? False Let a = -3 + 5. Suppose -766 - 324 = -a*r. Suppose 4*u - r = -213. Is u a composite number? False Is 9/6 + 670245/30 a prime number? True Let m(p) = -2*p**3 - 8*p**2 - 15*p - 14. Let n be m(-9). Suppose -o = o + 3*q - 463, 4*o - n = -q. Is o prime? True Let b = 439 + -309. Let m be 2 - 4/((-8)/b). Suppose 3*l - m + 6 = 2*q, 3*l = 3*q + 60. Is l a composite number? True Let w = 1592 - -1139. Suppose -3*q - s = -5653, -3*s = -3*q + 2906 + w. Is q composite? True Let h(v) = -v**2 - 25*v - 4. Let k be h(-7). Suppose -11 - k = -q. Is q prime? False Suppose 0 = 2*x - 2*w - 7450, 2*x + 1274 = -2*w + 8712. Is x composite? True Suppose 9*n - 202670 = -17*n. Is n a prime number? False Let q = 13 + -15. Let t be q/(-1) - (-22 - -21). Suppose -t*r + 8*r = 2755. Is r composite? True Let m be 90/(-27) + (-4)/6. Let j = -4 - m. Suppose 2*h = j, 5*f - 2*h - 3*h - 885 = 0. Is f a prime number? False Suppose 0 = 3*h + 5*f - 34, 4*h - 6*f + 3 = -3*f. Suppose o - 4*b = -21, -4*b + 17 = h*o - 0*b. Is 1 + 305 - 1/o composite? False Suppose 0 = -f + 3*b + 18, 2*b - 2 = -6*f + 2*f. Suppose f*n + 938 = 2*k - n, 5 = n. Is k a prime number? True Suppose -55*i = -26260 - 28245. Is i a prime number? True Let j(d) be the third derivative of 2*d**5/15 - 7*d**4/24 + d**3/3 + 10*d**2. Is j(-9) a composite number? True Let g be (12/30)/(1/15). Suppose h + 3*m = -425, -20 = -g*m + 2*m. Let y = -263 - h. Is y prime? False Let r(j) = -j**3 + 13*j**2 - 4*j + 13. Let o = 19 + -15. Suppose l - 2*y - 53 = -o*l, -23 = -2*l - y. Is r(l) prime? True Suppose 11*n = 10*n + 2. Suppose n*d - d = 71. Let h = 124 - d. Is h composite? False Is 27/(-90) + 30866/20 composite? False Let v be -4*(-1)/(-2) - -3. Suppose m = v + 13. Is m composite? True Let c(j) = j**3 + 4*j**2 - 4*j + 2. Let v be c(-5). Let a be (2 - v/(-1)) + 3. Is -2 - (a + (-236)/4) prime? False Let i(v) = 3*v**2 - 2*v - 2. Let k be i(-1). Let n(r) = r**3 + r**2 - 3*r + 3. Let z be n(k). Is 4/z - 16356/(-180) a prime number? False Let w(v) = 45*v**2 - 4*v + 4. Is w(-7) prime? True Let p(s) = s**2 + 8*s. Let c be p(-6). Is (-112 + 1)*4/c prime? True Is 5911 + (-16)/(-24) + 17/(-3) prime? False Suppose -2*d - 4 = 4, -d + 12 = 4*b. Suppose 3*j + 967 = b*j. Is j composite? False Let f(n) = 113*n - 20. Let a be 13 + (4 - 7 - -2). Suppose 5*z = 37 - a. Is f(z) prime? False Let a = 4698 - 2971. Suppose 8*p = 281 + a. Is p composite? False Suppose -4 = s - 9. Let q be 3/6*(-5 + s). Suppose 0 = 4*j - q*j - 1228. Is j composite? False Suppose 20757 = 2*p - 4*a + a, -5*p - 5*a + 51830 = 0. Is p composite? True Let f = 19 - 9. Let t = f - 5. Suppose t*z + 0*z = 1055. Is z a composite number? False Suppose g + 8835 = f, 0 = -5*f - 5*g + 1470 + 42745. Is f a prime number? True Suppose -2*n - 1 = -3*n + 4*l, n + 5*l - 10 = 0. Suppose p = -n*f + 253, -2*p - 95 = 2*f - 617. Is p composite? False Let b(d) be the first derivative of -d**4/4 - 5*d**3/3 + 9*d**2/2 + 6*d - 6. Is b(-11) a composite number? True Let x be (48/(-60))/((-4)/210). Let i = 541 + x. Is i composite? True Let i be (142/3 + -7)/((-2)/6). Let z = i - -282. Is z a composite number? True Let j(p) = -15*p**2 - 2*p + 1. Let w be j(-3). Let h be w/20 + 4/10. Is (-3)/(h/116) + 0 a prime number? False Let i = 5147 + -1984. Is i prime? True Suppose 0 = 12*s - 1836 - 4200. Is s prime? True Suppose -4*f - 728 = 200. Let s be -3 - (1 + -1) - f. Suppose -200 = -5*u + 3*g + s, 2*g - 439 = -5*u. Is u a prime number? False Let q(v) be the second derivative of 0 + 19/6*v**3 + 2*v - 1/12*v**4 - 7*v**2. Is q(16) a composite number? True Let g(i) = i**2 - 4*i - 29. Is g(-30) a composite number? False Let p(w) = 100*w**2 - 30*w - 19. Is p(11) a prime number? False Let h(u) = 17*u**2 - 3*u - 2. Let b be h(-2). Is (-16214)/(-18) + 16/b a prime number? False Let b(c) = -9*c + 419. Let a(r) = -r**3 + 9*r**2 - 10*r + 16. Let t be a(8). Is b(t) a composite number? False Let k(n) = 377*n**3 + 5*n**2 - 11*n + 5. Is k(4) composite? False Let d(n) = 6*n**3 + 9*n**2 - 3*n - 5. Let s be d(6). Let c = -313 + 888. Suppose 2*z - s = -c. Is z composite? True Let z = 167 + 1852. Is z a prime number? False Is (-3307056)/(-432) + -2 + 32/18 prime? False Let g be (838/(-6))/((-1)/3). Suppose -5*s = -3*s, r + 4*s - g = 0. Is r composite? False Is (-3)/(-45)*-5 - (-22664)/6 a prime number? False Let g(y) = -y**3 - 2*y**2 + 4*y + 3. Let n be g(-3). Let o be (n + 1 + 1)*378. Suppose 0 = 3*z + 3*l - o, -5*l = 2*z - l - 506. Is z composite? False Is (-50)/(-25) + 2 + 114229 prime? False Suppose -11*f + 371 + 33652 = 0. Is f a prime number? False Let k(d) = -4*d**3 - d + 4. Let a be k(-4). Suppose 0 = -2*o + 2*s - 62, -38*o - s - 179 = -33*o. Let r = a - o. Is r composite? True Let i be (-240006)/(-1170) - 2/15. Suppose 0 = 6*o - 3*o - 3*m - 372, 2*m - 508 = -4*o. Let r = i - o. Is r prime? True Let d(s) = s**2 - 5*s. Let n be d(5). Suppose n*p = -4*p + 4. Is 706*-4*p/(-8) a prime number? True Let k(h) = 9*h**3 + 3*h**2 + 12*h - 1. Let m be k(5). Suppose 4*d + 3*j - m = 0, 4*j = 3*d - 1 - 912. Is d composite? False Let t(v) = -v**2 - 4*v + 5. Let p be t(-5). Suppose 2*m + 3*m - 4085 = p. Is m prime? False Let j(y) = -695*y**3 + 2*y**2 + 3*y + 2. Let h be 1 - 0/4 - 2. Let g be j(h). Let f = g - 323. Is f prime? True Let n = -250 + 404. Suppose -6*c = -8*c + n. Is c prime? False Let c(p) = p**2 - 14*p - 106. Is c(-37) a composite number? True Let q(v) = 5*v - 23. Let w be q(11). Suppose -w*z + 1474 = -34*z. Let p = 170 - z. Is p a composite number? False Let r be (5 - 1) + (-16 - -15). Suppose -6 = 2*d - r*d. Is d/45 - 59092/(-60) composite? True Suppose 0 = 5*t - 56801 - 47714. Is t a prime number? True Let n(v) = -254*v - 9. Let b be n(5). Let p = -759 - b. Let r = p - 17. Is r composite? False Suppose 3*g + 2*t = 2546, -5*t = -2*g + 5*g - 2558. Suppose b - 5*b = 2*c - g, -637 = -3*b - 4*c. Is b a composite number? False Suppose -11*s + 33822 + 6295 = 0. Is s prime? False Let q(x) = 1404*x**3 + 2*x**2 - 3*x + 1. Let r be q(1). Let w = -755 + r. Is w a composite number? True Suppose 0*l - 10 = -2*l. Let q(n) = 6*n**2 - n + 21. Is q(l) a composite number? True Let x be (-3 - -2)/(-1)*0. Suppose -3*k = -x*k - 1233. Suppose 3*j = 5*t - 0*j - 409, -5*t + 2*j = -k. Is t prime? True Let c(g) = g**2 - 4*g + 9. Let f be c(4). Suppose -f*m + 147 + 186 = 0. Is m prime? True Suppose -1 + 12 = 3*z - 4*r, 2*z = 2*r + 4. Let o = z - -4. Is (o + -43)/(-2 - 0) a prime number? False Suppose -3*r - 2*r + 35 = -4*z, -r = -z - 8. Suppose -4*b = -r*b - 3. Suppose 4*h - k - 26 = 293, k = -b. Is h prime? True Suppose 0 = 32*h + 81918 - 206942. Is h composite? False Let s(t) be the second derivative of -t**5/20 - 5*t**4/4 - 5*t**3/6 - t**2/2 + 11*t. Is s(-16) composite? True Suppose -5*h + 5*v + 45 = 0, v - 45 = -3*h - 2*h. Suppose 0 = -h*g - 2768 + 10445. Is g a composite number? False Let k = -356 + 1303. Is k a prime number? True Let j(z) be the third derivative of z**4/24 - 13*z**3/6 + 3*z**2. Let d be j(10). Is d/(-1) + 11 + 837 composite? True Let q = -3165 + 5420. Suppose m = -3*w + q, -3*m = 4*w - 3*w - 757. Is w prime? True Let y(m) = -m**3 + 9*m**2 - m - 4. Let f be y(9). Let o(c) = -c**3 - 15*c**2 - 12*c - 5. Let s(g) = 1. Let l(v) = -o(v) - 2*s(v). Is l(f) a composite number? True Suppose -952152 = -47*w + 23*w. Is w a composite number? True Let a(v) = -2*v**2 - 13*v - 6. Let z be a(-9). Suppose -3*s - 5 = 2*s. Is (4 - 2) + z/s composite? False Let s(f) = f**3 - 13*f + 5. Let j(v) = -v**2 - 10*v - 14. Let q be j(-5). Is s(q) a composite number? False Let m be (0
{ "pile_set_name": "DM Mathematics" }
7, what is -3 - -456? 453 In base 7, what is -21553 - 4? -21560 In base 3, what is 12100 - 2120? 2210 In base 7, what is 4 + -1533? -1526 In base 13, what is 0 - 84b? -84b In base 2, what is -1101101 - -10? -1101011 In base 16, what is -13b0 - -5? -13ab In base 7, what is -21 + -541? -562 In base 9, what is 184 - -1? 185 In base 15, what is -4 + -29e? -2a3 In base 3, what is 112211 - -1211? 121122 In base 9, what is -2 + 628? 626 In base 5, what is 102 + 3? 110 In base 15, what is 13 - 30? -1c In base 4, what is 3 + -21321? -21312 In base 2, what is 101010001 - 1? 101010000 In base 11, what is 73 - -1? 74 In base 15, what is -280 - 3? -283 In base 9, what is 264 + -70? 184 In base 8, what is -2 - -117? 115 In base 5, what is -2102 + 40? -2012 In base 13, what is 68 + 5? 70 In base 2, what is 1001 + 101100101000? 101100110001 In base 16, what is -26 + -35? -5b In base 8, what is -3 + -76? -101 In base 13, what is -87 - -1? -86 In base 8, what is -247 + 3? -244 In base 15, what is -d + 1? -c In base 2, what is -11 + -101111111? -110000010 In base 8, what is 4765 + 1? 4766 In base 3, what is -12 - -222210? 222121 In base 9, what is 700 + -6? 683 In base 13, what is -4 - b9? -c0 In base 3, what is -21 - 10202? -11000 In base 4, what is 33311 - -2? 33313 In base 15, what is -1 - 76? -77 In base 15, what is -de + -a? -e9 In base 6, what is 4 + -1323? -1315 In base 7, what is 16634 - 2? 16632 In base 6, what is -3 + -5153? -5200 In base 3, what is 10 + -101202? -101122 In base 9, what is -3 - -1425? 1422 In base 13, what is 59 + -a2? -46 In base 14, what is -18 - 5? -1d In base 10, what is -6 + 1? -5 In base 9, what is -104 + -2? -106 In base 6, what is 1334 + -2? 1332 In base 10, what is -288 - 2? -290 In base 11, what is -6 - 4a7? -502 In base 7, what is -5 - 46? -54 In base 5, what is 2 + 2334? 2341 In base 6, what is 1024 + 2? 1030 In base 8, what is 2157 + -3? 2154 In base 2, what is 10000101110110 + 101? 10000101111011 In base 6, what is -3330 - -31? -3255 In base 4, what is 103 + -30? 13 In base 5, what is 13 - -2440? 3003 In base 10, what is -524 - 2? -526 In base 10, what is -12 - 874? -886 In base 4, what is 200312 - -1? 200313 In base 7, what is -1 - -311? 310 In base 3, what is 12 - -2200? 2212 In base 4, what is -33 - 232? -331 In base 4, what is -11 - 231? -302 In base 8, what is 651 - -3? 654 In base 10, what is -6 + -113? -119 In base 3, what is 2 - -101? 110 In base 15, what is 769 - 3? 766 In base 9, what is -4 + 10351? 10346 In base 9, what is 602 + -2? 600 In base 10, what is 33 + 3? 36 In base 9, what is 44 + -7? 36 In base 10, what is -2 + -1396? -1398 In base 7, what is -6 + 435? 426 In base 15, what is -5 + -261? -266 In base 6, what is -13 + 0? -13 In base 3, what is 11 + -20022110? -20022022 In base 2, what is -101 - 101011101? -101100010 In base 12, what is -777 + -1? -778 In base 10, what is -11 - -6? -5 In base 2, what is -10 - -110100? 110010 In base 14, what is 170 + -3? 16b In base 5, what is -13 - -3033? 3020 In base 4, what is -113 - -233? 120 In base 3, what is 112101 - 11? 112020 In base 11, what is -4 - -26? 22 In base 11, what is 50 - -35? 85 In base 3, what is -11 + -10101? -10112 In base 6, what is -5 + 300? 251 In base 4, what is 213 - -103? 322 In base 5, what is 132310 + -10? 132300 In base 9, what is 120 - -3? 123 In base 12, what is 1b2a0 + 0? 1b2a0 In base 6, what is -10 + 3002? 2552 In base 16, what is 2 + 5f8? 5fa In base 5, what is 242 + -13? 224 In base 6, what is 3 - -203? 210 In base 10, what is 501 + 24? 525 In base 2, what is -10110100 - -11? -10110001 In base 3, what is 200 + 220? 1120 In base 12, what is 2654 - 0? 2654 In base 15, what is 3c6 + -2? 3c4 In base 11, what is 631 - -4? 635 In base 2, what is -10110 + 1110101? 1011111 In base 4, what is -203010 + 2? -203002 In base 15, what is -6d + 6? -67 In base 4, what is 3 - 1222? -1213 In base 10, what is -4 - -860? 856 In base 16, what is 1 - -22? 23 In base 7, what is -6 - -163? 154 In base 10, what is 23805 + -2? 23803 In base 2, what is 110010 + -10100? 11110 In base 2, what is -100 + 110010100? 110010000 In base 7, what is -13 - 444? -460 In base 6, what is -10053 - -1? -10052 In base 2, what is 1110 + -1000111? -111001 In base 3, what is -1 + 2012220? 2012212 In base 12, what is -8960 - -5? -8957 In base 3, what is 110012112 - -1? 110012120 In base 15, what is 3 - 13? -10 In base 7, what is 11 + 3366? 3410 In base 10, what is -5 - -4? -1 In base 2, what is 1001001110010 + -11? 1001001101111 In base 7, what is -52 + 6? -43 In base 7, what is 2 + 110? 112 In base 4, what is -20 - 1311? -1331 In base 16, what is bf + -4? bb In base 5, what is -212 - -10? -202 In base 7, what is 4 + -411? -404 In base 6, what is -4 - -30322? 30314 In base 8, what is -7 - -5? -2 In base 16, what is 9 - 5ea? -5e1 In base 11, what is -2 - 2441? -2443 In base 15, what is -4 + -66? -6a In base 16, what is -a0 - b? -ab In base 9, what is 16 - 7? 8 In base 11, what is 0 - -395? 395 In base 15, what is -3 - -93? 90 In base 2, what is 100 + 101111001? 101111101 In base 14, what is -235 - -3? -232 In base 7, what is 1604 - -3? 1610 In base 5, what is -30 + 102? 22 In base 10, what is -2429 - 2? -2431 In base 11, what is -6 - 544? -54a In base 6, what is -3010 - 2? -3012 In base 8, what is -23 - -31? 6 In base 3, what is 100 + 2120? 2220 In base 7, what is -15355 - 4? -15362 In base 15, what is -5 - -2a6? 2a1 In base 11, what is -23 + 23? 0 In base 13, what is -23 + -2? -25 In base 11, what is 2 + -81? -7a In base 12, what is 5 + 909? 912 In base 11, what is -2 - -40? 39 In base 12, what is 279 + 1? 27a In base 16, what is -7 - 105? -10c In base 14, what is 1cd4 - 9? 1cc9 In base 16, what is 129e - 2? 129c In base 15, what is c9 + 4? cd In base 10, what is -109 + -4? -113 In base 12, what is 2b8 + 4? 300 In base 15, what is -9 + 62a? 621 In base 7, what is -5 - 2062? -2100 In base 16, what is 42 - d? 35 In base 16, what is 3b + 0? 3b In base 15, what is -a58 - -1? -a57 In base 14, what is a + -8? 2 In base 4, what is -11 - 213002? -213013 In base 6, what is -1255 - 22? -1321 In base 12, what is -10ba + -1? -10bb In base 6, what is 12 - 144? -132 In base 14, what is -1 - -14? 13 In base 8, what is 5 + -110? -103 In base 10, what is 0 + 531? 531 In base 14, what is 42b - 5? 426 In base 9, what is -212 + -25? -237 In base 11, what is 0 - 4181? -4181 In base 3, what is 2210 - 112? 2021 In base 10, what is -487 + 2? -485 In base 7, what is -162 + -15? -210 In base 4, what is 12 + 303? 321 In base 3, what is 12 + -121012? -121000 In base 3, what is -12012 - 10021? -22110 In base 13, what is 6a - -8? 75 In base 11, what is 20 - 5? 16 In base 4, what is 110 - 212? -102 In base 3, what is 12 + -1021? -1002 In base 2, what is -10010100011 + 1000? -10010011011 In base 15, what is 2 - -104? 106 In base 11, what is 14 + -24? -10 In base 13, what is 1930 + 1? 1931 In base 7, what is -3 + -1534? -1540 In base 2, what is 10010 + 1010010? 1100100 In base 6, what is 0 + -1100? -1100 In base 16, what is 38f + 8? 397 In base 7, what is 2 - 332? -330 In base 3, what is 10 + -120212? -120202 In base 6, what is 21 + -10051? -10030 In base 5, what is -3010 + -112? -3122 In base 9, what is 25 - -624? 650 In base 12, what is 75 + -1? 74 In base 2, what is 11 - -1000101? 1001000 In base 11, what is 5 - -10? 15 In base 11, what is -18 + 1? -17 In base 11, what is -6 - 35? -40 In base 6, what is -12 + -23? -35 In base 5, what is -2 - -12202? 12200 In base 13, what is 9 - -98? a4 In base 6, what is -2 - 425? -431 In base 7, what is -2 + -1443? -1445 In base 6, what is 1 - 13444? -13443 In base 15, what is 30 + 6d? 9d In base 3, what is -2001 - 12221? -21222 In base 3, what is -1200 - 122? -2022 In base 7, what is 4 - -551? 555 In base 8, what is -16 + 1? -15 In base 7, what is 1265 - -4? 1302 In base 7, what is -10 - -465? 455 In base 5, what is -142 + 10? -132 In base 16, what is ac - 2? aa In base 7, what is -326 - 3? -332 In base 9, what is 6 + -52? -45 In base 6, what is 1322 - -3? 1325 In base 2, what is 100101110 - 101? 100101001 In base 3, what is -10 + 211201? 211121 In base 13, what is -6 + -3? -9 In base 8, what is -5 + 616? 611 In base 9, what is 12808 + -1? 12807 In base 13, what is
{ "pile_set_name": "DM Mathematics" }
a composite number? False Let l(c) = -2*c**3 - 61*c**2 - 27*c. Let m be l(-30). Suppose -27 = 3*y - 9. Is m/2*(-3 + y) - -2 a composite number? True Let k(y) be the second derivative of 2*y**4 + 4*y**3/3 + 21*y**2/2 + 265*y. Let u = -9 - -5. Is k(u) a prime number? True Let f(s) be the first derivative of 5*s**3/3 + 3*s**2 - 5*s - 11. Is f(-8) a composite number? True Let z(u) = -603*u - 1876. Is z(-33) a prime number? False Let p(w) = 226*w**2 - 66*w - 1203. Is p(-14) a composite number? False Let p(c) = 169*c + 13. Let q be p(6). Let d = -38 - -41. Suppose -2*r + q = -5*b - 0*b, 3*r - d*b - 1554 = 0. Is r a prime number? True Suppose 63*g - 151*g + 93049 = -77*g. Is g a composite number? True Suppose 37*b - 50 + 13 = 0. Is (-5314550)/(-900) + b/(-18) a composite number? True Suppose -25*v + 190 = -15*v. Suppose -v*a - 24788 = -23*a. Is a a prime number? True Let v be 3/(-2)*(898728/(-828) + (-2)/(-23)). Let s(x) = -39*x**3 - x**2 - 3. Let k be s(-3). Let i = v - k. Is i composite? False Suppose -2*z - 9788 = -4*j, 3 = -2*z - 1. Let i = 4203 - j. Is i composite? True Let t(l) = -150*l**2 + 4252*l + 23. Is t(20) a prime number? False Is (-11)/(33/(-12981))*1 a composite number? False Is (-5 + -13 - -8) + 21399 prime? False Suppose -72*y + 2*t = -71*y - 550731, -y + 4*t + 550729 = 0. Is y a composite number? False Let f = -721 - -718. Let w(j) = 442*j**2 + 5*j - 5. Is w(f) composite? True Let z = 836737 + -480188. Is z prime? True Suppose -10*f + 6704 = -12516. Let r = f - 789. Is r composite? True Suppose l = 5*n - 146815, n - 8*l + 6*l - 29363 = 0. Is n prime? True Let w(i) = -i**3 - 7*i**2 + 3*i + 16. Let n be w(-7). Let r = n + 278. Suppose 4*h + r = 5*o + 2*h, 5*h - 245 = -5*o. Is o composite? False Let l = -3 - -2. Suppose 0 = 12*r + 3980 + 6364. Is (2/l)/(1 + 866/r) prime? True Let x = -83667 + 156944. Is x prime? True Let w = 52742 + 10479. Is w prime? False Let z be 12086/12 - 75/(-90). Let i = z - 701. Is i a prime number? True Suppose 2*t + 2*j = 6, 0 = t - 2*t - 4*j. Suppose 0 = t*c - 2*b + 2661 - 44783, c = b + 10529. Suppose 27*z - 23*z = c. Is z a prime number? True Suppose -8*c - 16*c - 24*c = -129329232. Is c a prime number? True Let p = 21 - 14. Suppose -7*a - 22 = -3*a - 5*q, 2*q = -a - 12. Is (p + a)*(-191 - 0) composite? False Let r(t) = 53*t**2 + 60*t - 20. Is r(-51) a prime number? False Let v = 606 + -2576. Let g be 34/119 + v/(-14). Suppose 0 = -2*f - f + g. Is f composite? False Let g(h) = 7*h**3 - 5*h + 1. Let w be g(5). Let n = w + -11. Let f = n - -347. Is f a prime number? True Suppose 42*c - 114*c = 41*c - 2770421. Is c a composite number? False Suppose 5*y = 8*y - 5*j - 388094, -y + 3*j + 129358 = 0. Is y a composite number? True Let i(v) = 301*v - 31. Let d be i(16). Suppose -d = -9*t + 15132. Is t a composite number? False Let u(x) be the first derivative of -58*x**3 - 7*x**2/2 + 2*x - 10. Let m be u(-8). Is 3/((-63)/6) + m/(-14) composite? True Is (152408/(-36))/((-16)/72) prime? True Suppose -9*n = -6*n + 2*c - 38791, -2*n = 4*c - 25866. Suppose n = 28*d - 21*d. Is d a composite number? False Suppose -4*l - u + 40 = 0, 0 = 2*l + 2*l - u - 32. Suppose -7 - l = -4*o. Suppose -2*r + 5*r - o*n - 15149 = 0, 4*r = 3*n + 20201. Is r a prime number? True Let q be (-17862)/(-42) + 6/(-21). Let z = q - 2600. Let w = z + 4484. Is w prime? True Let j(b) be the second derivative of b**3/6 + 3*b**2/2 - 15*b. Let o be j(-2). Is (3 + -20)*118/(-1 - o) prime? False Let w = 139900 + -76257. Is w prime? False Let i(s) = -74*s**3 + 3*s**2 + 3*s + 52. Let m be i(-5). Let t = m - 3361. Is t composite? True Suppose -5*g - 714418 = -3*d, -323*d - 5*g - 476277 = -325*d. Is d prime? True Let z(a) = -3*a**3 - 17*a**2 + 17*a + 1034. Is z(-23) a composite number? False Let p be (-4000045)/(-45) + 1/9. Is (0 - (-10)/15)/(20/p) a composite number? False Is (-1)/(-3)*-1276046*285/(-190) a prime number? True Suppose -4*r + 9*r = o + 1557887, 3*r = 2*o + 934735. Suppose -r = -28*b + 41307. Is b composite? True Suppose 3*k + b = 14981, 4*k + 2*b - 19988 = 4*b. Let l = -2818 + k. Suppose 2*r - l = -2*a + 1491, -r = -3*a - 1854. Is r a composite number? True Suppose -4*w + v + 1819 = -9150, 2*v + 5480 = 2*w. Let z = w - 5295. Let y = -1809 - z. Is y a prime number? True Let p be (-23449)/(-7) - (-39)/273. Suppose 0 = 5*w + z - p, -4*w = -5*z + 6*z - 2681. Is w composite? True Let z(x) = -216*x - 743. Is z(-7) a prime number? True Let z = -16 - -20. Let y be ((-10)/25)/(z/(-80)). Suppose -m + j + 393 = 0, -8 = 4*j - y*j. Is m composite? True Suppose 35*g - 46*g = 11803. Let v = 776 - 1400. Let z = v - g. Is z a composite number? False Let u = 1024 + -20346. Let q = u + 33324. Suppose 8*b = 9030 + q. Is b a prime number? True Is (-57)/38*506524/(-6) a composite number? False Suppose -2*b - 2*o + o = -3439, 3*o + 9 = 0. Is b a composite number? False Let o = 849242 - 151993. Is o a composite number? True Let b(l) = 13699*l**2 + 606*l - 1211. Is b(2) composite? True Let v(f) = -1615*f + 13. Let y be v(3). Let x = 7581 + y. Is x a prime number? True Suppose -2 = -i + 5*c - 9*c, -4*c = 2*i + 4. Let t be 20/i*(-15)/(-50)*4. Is (4 - (-20)/t)*-977 a composite number? False Suppose -21*q + 6*q + 261915 = 0. Is q prime? False Let g(d) be the first derivative of -83*d**2 - 9. Let l be g(5). Let n = 1729 + l. Is n a composite number? True Let u be ((-19)/(-4))/(5/40). Let s = u + -39. Let y(q) = -272*q - 3. Is y(s) a prime number? True Suppose -4*v = 3*n - 744274 + 48387, -26*n + 6030981 = -5*v. Is n a composite number? False Let f be (21/15 + 1)/((-3)/(-10)). Let r(d) = 362*d**2 + 2*d - 7. Let m be r(-4). Suppose 601 - m = -f*y. Is y prime? True Suppose 0 = -5*n + 20, -34189 = -3*o + n + 4732. Suppose -o = -8*w - 2983. Is w prime? True Is 3 + (-15200664)/(-42) - ((-184)/(-28) + -6) prime? False Let x(y) = 12*y. Let m be x(4). Let k = 51 - m. Suppose 967 = t + 4*t - k*d, -5*d + 744 = 4*t. Is t composite? False Suppose 3*o = 5*f - 7, 4*f = 2*o - 1 + 7. Suppose -16999 = -f*j + 45483. Is j a prime number? False Suppose 2*t + 179 + 47 = 3*g, -4*g = 5*t - 286. Let l be 1*g/(-26) + (-4)/26. Is (1255*-1)/(l*(-1)/(-3)) composite? True Suppose -2*n + 11972 = -0*b + 3*b, 19954 = 5*b + 3*n. Let s = -520 + 524. Suppose -b = -s*y - 4*y. Is y a prime number? True Suppose 0 = 2*v + 3*a - 13549, 437*v - 441*v + 27122 = -2*a. Is v prime? True Let q(m) = 57*m - 24. Let i be q(10). Let f = i + -276. Let y = -173 + f. Is y prime? True Let v = 6129 - 2819. Let k = -1890 - v. Is 0 + 3 + k/(-3 - 2) a composite number? True Is -1*(-10)/(-65) - (-7566525)/117 a composite number? True Suppose 18 = -y + 176. Suppose -5*d + 165 + 315 = 0. Let t = d + y. Is t composite? True Let r(o) = 626*o - 28. Let l be r(-17). Let x = -5091 - l. Is x a prime number? False Let t(a) = 23516*a**2 + 194*a + 393. Is t(-2) composite? True Let r(a) = -75*a - 239. Let l(y) = -74*y - 235. Let k(j) = 4*l(j) - 3*r(j). Is k(-36) composite? False Let u = 43 - 23. Suppose -7*m = -u - 1. Suppose -m*h + 588 = -555. Is h a prime number? False Suppose -v + 1 = 0, 0*v - v - 7 = -2*d. Is ((-17)/(-51) - (-2848)/6) + d composite? False Let d = 1803325 + -913772. Is d a prime number? False Let t(g) = -1 - 3*g**2 + 14*g - 2*g**3 - 27*g + 3*g**3 + 32. Let q be t(13). Suppose 7*a - 226 = q. Is a composite? True Let s = -29580 + 94439. Is s composite? True Let l be 9/(((-2)/1)/2). Let v be 170530/(-90) + 2/l. Let u = 2680 + v. Is u prime? False Let f be 3/(18/1806) - -1*5. Suppose 0 = -3*p + n - 501, 7*p - 4*p - 2*n + 501 = 0. Let a = f - p. Is a a prime number? False Let k = -120961 - -364964. Is k prime? True Let o be (4/(-12) + -7)*(-485 - -8). Let k(v) = v**3 + 7*v**2 - 2*v - 7. Let c be k(-7). Suppose o = -n + c*n. Is n a composite number? True Let h(i) be the third derivative of -77*i**4/4 + 97*i**3/6 + 146*i**2. Is h(-8) composite? False Suppose 0 = -7*q + 238553 + 82166. Is q prime? True Let u be (-897522)/(-152)*1*4. Suppose -434*z = -431*z - u. Is z composite? False Let m = 113386 - 66015. Is m a prime number? False Is 1 + (-5 - ((-8)/1 - -6 - 200515)) a composite number? False Is (4/12 - 996040/(-60)) + 8 composite? True Suppose 24*l - 34*l + 360 = 0. Suppose 31*k = l*k - 133795. Is k prime? True Suppose 48604
{ "pile_set_name": "DM Mathematics" }
value of 8 + (-14 - (-11 - -6))? -1 Evaluate (-1 + 0 - -3) + -3. -1 Calculate 9 + 2 - 15 - (-6 + 0). 2 -4 - (-1 + (-6 - -3)) 0 What is (8 - 19) + 11 + 1? 1 Calculate 4 + -4 - -3 - (-4 - -6). 1 -5 - -13 - (0 + 12) -4 Evaluate 1 - (4 + -2 + -1) - -4. 4 Calculate 2 + -17 - ((-6 - -4) + -2). -11 Evaluate -10 + -1 + 17 + -9. -3 What is 6 + 1 + -5 + (7 - 13)? -4 Calculate (-3 + -1 - -6) + -2 - -4. 4 Calculate -4 + (2 - (3 + -3)). -2 Calculate 7 - -1 - (-96 - -101). 3 4 - ((-1 + -4 - -2) + 1) 6 What is the value of 10 - (3 + -1 + 3)? 5 Evaluate -5 + (18 - 6) - 10. -3 15 + (3 + -8 - 4) 6 Evaluate 5 + (-8 + 3 - 5). -5 Calculate -7 - -2 - (2 - 5 - -1). -3 What is 1 - -10 - (51 + -39)? -1 What is the value of 6 - (14 + -21 - -10)? 3 Calculate 1 - (-9 - -13 - (-3 - 0)). -6 What is the value of -5 + 3 + -7 - -15? 6 Calculate -8 + -7 + (-1 - -13 - 1). -4 5 - -2 - (3 - -9) -5 23 + -20 + (2 - 0) 5 What is -14 + -12 + 21 + 0 + -1? -6 Calculate (3 + (-9 - 0) - -2) + 10. 6 What is 2 + (-7 - (8 - 9))? -4 What is the value of -1 - (-11 - -2) - (-2 + 5)? 5 What is the value of (7 - (7 + -1)) + -1? 0 13 - (6 - 5) - 7 5 Evaluate (-8 - -4) + 7 + 2. 5 Evaluate 8 + -11 - (2 - -2 - 2). -5 What is -4 + 9 + -2 + -2? 1 5 - (7 - (-4 - -4)) - -4 2 0 - 3 - -6 - -1 - 3 1 -4 + 3 + 2 + (2 - 0) 3 Evaluate 38 + -32 + -8 + (-1 - -1). -2 What is the value of (-5 - -4 - -4) + (-1 - 1)? 1 Evaluate 1 + (-9 - -4 - -1). -3 -1 - (-3 + 11) - -5 -4 -1 + -13 - (21 - 34) -1 What is the value of -1 - 2 - (0 + -2)? -1 -1 - (-1 - (-10 - (-2 - 5))) -3 What is -4 - (-2 - (0 - 0 - -1))? -1 8 + -9 + 8 - 9 - 1 -3 Calculate -6 - (-12 - -5) - (8 + 0). -7 What is the value of 0 + 4 + -4 + 5? 5 What is the value of (16 - 5) + -5 - 4? 2 What is -9 - (-6 - 1) - -3? 1 What is the value of -4 - (-3 + (-3 - 1))? 3 What is the value of -6 - (3 + (2 - 7))? -4 What is the value of 2 + (-6 - (2 + -4) - 3)? -5 Calculate -4 + 8 - 12 - (-12 - -9). -5 1 - (3 - (5 - 1)) 2 Calculate -1 + 0 + -4 + (5 - 1). -1 What is (0 - 2) + 6 + -8? -4 Calculate -1 - 5 - (-7 + 11 + -7). -3 What is the value of -9 - (5 - (16 + -5))? -3 (13 + -11 - (3 + -4)) + -2 1 Evaluate -147 + 142 - (-2 - (-1 - 0)). -4 Evaluate -7 + (8 - (8 + -12)). 5 What is the value of -1 - (-3 - (-2 - (-3 - -3)))? 0 Calculate -16 + (8 - 2) - -17. 7 Calculate 3 - 0 - (60 - 58). 1 What is -10 + -1 + 4 + 5? -2 (2 - -1) + -1 + -3 + 4 3 Evaluate -12 - (-11 + (4 - 0) + 1). -6 4 - 7 - 3 - (0 + -1) -5 What is (6 - 30) + 12 + 11? -1 Evaluate 5 + -15 - -5 - -1. -4 What is the value of 0 + 1 + -1 + (-2 - 0)? -2 Calculate (-4 - (12 + -20)) + 1. 5 Calculate 6 + -5 - (-2 + -1). 4 (1 - 0) + -1 + 3 + -7 -4 Evaluate (-1 - (8 + -15)) + 5. 11 What is (-1 - 6) + (3 - 0) - -3? -1 What is the value of -6 + 5 - (5 + -2) - -8? 4 Calculate -20 + 16 + 4 + 1. 1 What is the value of 2 - ((-2 - 0) + -8 + 12)? 0 What is the value of 0 + (-1 - 1) + -38 + 39? -1 What is -19 + 20 - (-1 - -1)? 1 What is -3 - (1 + -10 + (15 - 10))? 1 What is the value of 7 - ((-2 - -5) + 2)? 2 What is -7 - (-1 - (-1 + 3 - 0))? -4 Calculate -2 - (-4 - 1 - -6) - -9. 6 Calculate 33 - 21 - (0 - -3). 9 Calculate 1 + -8 + 1 + 1 + -1. -6 Evaluate -7 + 4 + (1 - 3). -5 Calculate (111 - 113) + 2 + (0 - 1). -1 -10 - -1 - (1 - -2) - -5 -7 What is -4 - (1 - (3 - -2)) - -4? 4 Evaluate 3 + (-11 - -5) + (1 - 0). -2 What is 8 + 1 + -12 + 6 + -4? -1 0 + -7 + -22 + 23 - -2 -4 What is the value of -10 + 6 + -3 + -3 + 5? -5 What is the value of 0 + -2 - (-2 - -6) - 0? -6 Calculate (-5 - -1) + 2 + -2 + 0. -4 Evaluate -1 + 3 + 0 + 1 + -1. 2 What is (-2 - 3) + -7 + 12 + 3? 3 What is -1 + 0 + (-29 - -27)? -3 Evaluate 6 - 10 - (-16 + 10). 2 What is the value of 16 + -19 + (-3 - (-7 - 2))? 3 0 + 3 + 0 + 1 + 2 6 (-13 - -9) + -1 - (1 - 2) -4 What is (9 - 1) + (-14 - -4)? -2 What is 6 - 5 - (1 + 1)? -1 Evaluate 6 - (-1 - 2) - 6. 3 -1 + (-6 - (-14 - -7) - 5) -5 Calculate -2 + -1 + 2 - 3. -4 What is the value of -2 + 3 + -4 + (1 - 0)? -2 Evaluate -8 - (-15 - (-7 + -2)). -2 -2 + (-1 - ((9 - 5) + -3)) -4 2 - (-3 + 0 + (-3 - -13)) -5 3 - (10 + 3 + -5) -5 Evaluate 0 - (9 + -2 + 0). -7 What is the value of -2 - (4 + (-6 + 2 - -1))? -3 -1 + (10 - 5 - (-2 + 1)) 5 What is the value of -2 + 0 + 10 + -3? 5 Evaluate (0 - 0) + (-2 - (-2 + -3)). 3 What is (3 - 9) + -1 + 1? -6 Calculate 1 + 0 - ((4 - 6) + 2). 1 Calculate 3 + 0 + (-1 - 0). 2 What is the value of (-7 - (-11 - -1)) + -8? -5 Evaluate (-2 - (1 + 1)) + 4. 0 14 + (2 - 4) + -4 + -4 4 12 + -6 - 8 - 2 -4 What is (0 - (-1 - 4)) + (0 - 2)? 3 5 + -1 + (14 - 11 - 4) 3 Evaluate -3 + 7 + -21 + 17. 0 (3 - 8 - (0 + -1)) + 8 4 -3 - (-2 + -12 + 6) - 5 0 What is the value of -1 - -3 - 0 - (1 + 1)? 0 What is the value of (0 - -1) + 1 + (-5 - -5)? 2 What is the value of 4 - (6 + (2 - 2))? -2 What is (5 - 16) + 5 + (2 - 0)? -4 -15 + 29 - (1 - -7) 6 What is 1 - 6 - ((8 - 1) + -11)? -1 What is the value of -1 - (14 - (-10 - -27))? 2 Evaluate -1 - (1 - (7 + -4)). 1 What is (5 + -6 - 0) + 4? 3 Evaluate 10 + -19 + (6 - 0). -3 -1 - -5 - (5 + -4 - -2) 1 Evaluate -7 - -1 - (-1 - 1). -4 What is 38 - 40 - (0 - 4)? 2 Calculate 11 - (7 + -12 - -8). 8 1 - ((14 - 12) + 1 + -1) -1 -3 - 2 - 1 - -4 -2 (-5 - (4 - 6)) + 6 3 Calculate 1 + 1 + 0 + -1. 1 0 + (7 - 3 - 5) -1 What is -6 + (-7 + 1 - -9)? -3 Calculate (-11 - -7 - -9) + -3. 2 Evaluate (-3 - (-2 + -7)) + (-12 - 4). -10 Calculate -1 + -9 + 5 + 9. 4 Calculate 10 + 12 + -7 + -18. -3 Evaluate (4 - 5) + (1 - -3). 3 What is (2 + 1 - 6) + 5? 2 What is 0 - (3 - (-4 + -1 - -14))? 6 What is -6 + 6 + (3 - 0) + -1? 2 Calculate 3 - (-5 + (11 - 2)). -1 Calculate (6 - (2 - -2)) + (0 - -4). 6 Evaluate -1 + (2 - 5) + 1 + -2. -5 Evaluate (22 + -13 - 19) + -1 + 1. -10 27 + -11 - 7 - (8 + -2) 3 What is -4 + 2 - (5 + -6) - -6? 5 -17 - -21 - (3 + 0) 1 Calculate (3 - 8) + 0 - -4. -1 Calculate -1 + 3 + -3 + (-5 - -1). -5 What is the value of (1 - 4 - 1) + (-16 - -16)? -4 What is the value of 6 - (0 - 1) - (-5 - -10)? 2 What is the value of 0 + 3 + 3 + -2? 4 What is -3 - (-5 + -5) - 3? 4 Calculate 3 + -1 + 7 - (-10 - -13). 6 Calculate -1 + 2 + -5 + 2. -2 What is the value of 2 + -2 - (0 + -1) - -2? 3 (-1 - -3 - 0) + -15 + 13 0 What is the value of 0 + -8 + 0 - -4? -4 15 - (16 + -5) - (1 + 3) 0 -2 + 2 + 44 + -44 0 Calculate (0 - (6 - 3)) + -2 - 2. -7 What is (12 - 18) + 13 + -5? 2 8 + -28 + 7 - -3 -10 Evaluate -3 + 1 + 3 - (-3 - -7). -3 Calculate 1 + 6 + -16 + 4. -5 Calculate 2 + -3 + -2 + 4 + -5. -4 What is the value of 9 - 11 - (0 - -2 - 0)? -4 What is the value of (1 - -1) + 28 + -36? -6 Calculate -2 + -2 - (-11 - -5 - -6). -4 Calculate -1 + -1 + (-2 - 11 - -10). -5 -5 - (-4 + 1 + 5 + -4) -3 What is 1 - (-2 + (-3 - -4))? 2 2 - 6 - (-6 - -4) -2 What is -5 - (-5 + 3 + (5 - 2))? -6 What is -1 - ((4 - 5) + -3 - -3)? 0 -24 + (1 - -12) + 3 -8 Evaluate -5 - (2 - (4 - -1) - 0). -2 Evaluate 6 - (0 + 3 + -1). 4 What is the value of (-6 - (7 - 4)) + 4? -5 Calculate 2 + 0 + 9 + -2 + -13. -4 What is the value of 2 + -2 - -6 - (-9 - -9)? 6 Evaluate -3 + 1 + -3 - -1 - 2. -6 Evaluate (-25 - -10 - -6) + 12. 3 Calculate -5 + (9 - 4) + 2. 2 What is (3 - 5 - -1) + -1 + -2? -4 26 - 37 - (-5 + 1) -7 Evaluate (-1 - -5) + (-2 - (0 - -6)). -4 Calculate -3 + 3 + 4 - -1. 5 Calculate (-1 - -9) + (0 - 11). -3 What is the value of -10 + 4 + (17 - 10)? 1 Evaluate -23 + 28 - (1 - -1 - -2). 1 Evaluate 4 + (-1 - -1) + 2 + -4. 2 Calculate 1 + 3 + (1 - 2) + -9. -6 What is 1 - (2 + 0) - (-3 + -2)? 4 What is -3 - ((-4 - -1) + -4 - -3)? 1 29 + -26 - (3 + -1) 1 Calculate (-7 - -2 - -5) + 6 + -5. 1 Evaluate -7 + 4 - (0 + -5 + 2). 0 What is -13 - (2 - 1 - (4 + 3))? -7 Calculate (-17 - -19) + (3 - -2) + -1. 6 Evaluate 9 - 11 - (4 - 1). -5 Evaluate 6 + (-7 - -3) + (-3 - -2). 1 (1 - 0 - (-6 + 3)) + -2 2 What is the value of -6 + (2 + (-2 - -1) - -2)? -3 Evaluate 0 - (2 - -5) - -1. -6 What is 0 - 2 - (7 - 1 - 13)? 5 (18 - 23) + (1 - -6) 2 What is the value of -10 - (-14 - -3 - (5 - 12))? -6 What is 5 + (1 - (-1 - -6))? 1 Evaluate 9 + (10 - 4 - 7). 8 What is 0 + (1 - (9 - 6))? -2 What is (-18 - -13) + (11 - 0) + -14? -8 -1 - (-1 + -2 + -16 + 21) -3 Calculate (-2 - -9) + -3 - (-2 + 4). 2 What is the value of -4 - -4 - 4 - -3? -1 What is -15 + 7 - (2 - 11)? 1 What is the value of (12 + -8 - 11) + 3? -4 Evaluate -10 + 14 + (-1 - 0) + 0. 3 What
{ "pile_set_name": "DM Mathematics" }
. 3*x**2 Let d(b) = b. Let h(a) = 11*a + 14*a - 11*a. Let i(x) = -10*d(x) + h(x). Let q(j) = -j. Suppose 3*s - 4*s - 6 = 0. What is s*q(f) - i(f)? 2*f Let u(g) = 16*g + 2. Let o(n) = -8*n - 1. What is 7*o(x) + 3*u(x)? -8*x - 1 Let g(b) = b + 1. Suppose -4 = 4*v, 5*z - v - 26 = -0*v. Let d(j) = -2*j - 3. Calculate z*g(c) + 2*d(c). c - 1 Let f(p) = p + 1. Let h be f(2). Let d(k) = 5 + 4 + 5*k**h + 6*k - 3. Let l(q) = 6*q**3 + 7*q + 7. Let m be (58 - 49)/(6/(-4)). Determine m*l(v) + 7*d(v). -v**3 Let u(f) = 10*f**3 + 13*f**2 - 6*f + 7. Let x = -6 - -8. Let v(z) = -3*z**3 - 4*z**2 + 2*z - 2. What is x*u(s) + 7*v(s)? -s**3 - 2*s**2 + 2*s Let i(h) = 19*h**2 + 8*h + 12. Let o(f) = 18*f**2 + 9*f + 12. Let d(z) = 3*i(z) - 4*o(z). Let n(c) = -6*c**2 - 5*c - 5. What is -5*d(y) + 12*n(y)? 3*y**2 Let t(z) = -2*z + 3. Let g(v) = -v - v + 4 + 0*v. Give 2*g(o) - 3*t(o). 2*o - 1 Let i(d) = 4*d + 4. Let a(y) be the second derivative of -y**3/6 - y**2/2 - y. Determine 6*a(p) + 2*i(p). 2*p + 2 Let c(i) = -13*i - 3. Let z(f) = 1. What is c(d) + z(d)? -13*d - 2 Let o(r) = 2*r**2 + 3*r - 3. Let z(f) = -3*f**2 + 2*f**2 - f - 279 + 280. Give -2*o(n) - 6*z(n). 2*n**2 Let l(y) = -5*y**2 + 18*y - 9. Let z(u) = 2*u**2 - 9*u + 4. What is -4*l(a) - 9*z(a)? 2*a**2 + 9*a Suppose i - 2*l = 2, -2*i + 0*i - 4*l = -4. Let c(d) = -13 + 14 + 3*d**2 - 2*d**2 - 2*d**i. Let r(a) = a**2 - 1. Determine -2*c(t) - r(t). t**2 - 1 Let s(r) = 5*r + 3. Let o(a) = -11*a - 7. Give -6*o(k) - 13*s(k). k + 3 Let b(c) = c + 2. Let p(f) be the first derivative of -f**2 - 2*f + 6. Give 3*b(s) + 2*p(s). -s + 2 Let f(m) = 2*m**3 + 3*m + 3. Let a(u) = 2*u**3 + 4*u + 4. Let l be 1/((-1)/3*1). Determine l*a(v) + 4*f(v). 2*v**3 Let y(i) = 3*i**3 + 3*i**2 + i - 2. Let o(d) be the third derivative of 7*d**6/120 + 7*d**5/60 + d**4/12 - 5*d**3/6 + 2*d**2. What is -4*o(l) + 10*y(l)? 2*l**3 + 2*l**2 + 2*l Suppose 7*y = -0*y + 28. Let x(l) = 0*l + 4 - 3*l - 4*l. Let h(n) = -6*n + 3. Calculate y*x(g) - 5*h(g). 2*g + 1 Let w(l) = -6*l**3 + 5*l - 5. Suppose 0 = g - 2*g + 1. Let n(v) = v**3 - v + 1. Suppose 4*a - 27 = a. Let s = -4 + a. What is g*w(o) + s*n(o)? -o**3 Let v(y) = -y + 1. Let m(p) = -4*p**2 + 5*p - 7. Give m(c) + 6*v(c). -4*c**2 - c - 1 Let f(h) = -h**3 + h**2. Let k(s) = -7*s**3 + 10*s**2. Calculate -6*f(p) + k(p). -p**3 + 4*p**2 Let g(d) = 3*d + 4. Let a be 12/(2 + 2) + -1. Let f(n) = -n - 1. Let i(u) = u + 2. Let t be i(5). Determine a*g(q) + t*f(q). -q + 1 Let d(x) = -2*x**2 + 7*x - 8. Let y(t) = -t + 1. Let a be 37/6 - (-5)/(-30). What is a*y(i) + d(i)? -2*i**2 + i - 2 Suppose -4*m - 3*x + 3 = -m, -2 = 2*m + x. Let a(d) = -2*d**2 + 2*d + 1. Let y(n) = 3*n**2 - 3*n - 1. Calculate m*y(k) - 5*a(k). k**2 - k - 2 Let k(p) = p**2 - 2*p - 2. Let o(l) be the first derivative of 2*l**3/3 - 2*l**2 - 4*l + 3. Give -9*k(a) + 4*o(a). -a**2 + 2*a + 2 Let s(q) = -q - 1. Let c = 6 + -8. Let l = -3 - c. Let m(u) = -4*u - 7. Determine l*m(a) + 5*s(a). -a + 2 Let q(r) = r + 3*r**2 - r**2 - 4 - r**2. Let n = 4 - 13. Let m be ((-6)/n)/(2/9). Let s(g) = g**2 + g - 3. Give m*s(j) - 2*q(j). j**2 + j - 1 Let b(f) be the second derivative of 0 + 4*f + 0*f**3 + 0*f**2 + 1/6*f**4. Let v(j) = 8*j**2. What is -9*b(t) + 2*v(t)? -2*t**2 Let t(m) = -m + 2. Let s(b) = -3*b + 5. Let z(h) = -h**2 - 20*h + 7. Let w be z(-20). Determine w*t(c) - 3*s(c). 2*c - 1 Let b = -3 - -6. Let f(y) be the first derivative of y - 1. Let t(u) = -u**2 + 2*u - 1. Let l be 2*(1/(-9))/(4/(-18)). Determine b*f(v) + l*t(v). -v**2 + 2*v + 2 Let o be 1 - -3*(-3)/9. Let s(t) = o - 1 + 2*t - t. Let v(y) = y**3 + y - 1. Give -3*s(c) + 3*v(c). 3*c**3 Let y(u) = -6*u**2 - 2*u - 14. Let n(s) = s**2 + s. Give -4*n(q) - y(q). 2*q**2 - 2*q + 14 Let r(j) = j**3 + 4*j**2 - 2*j - 3. Let f be r(-4). Let a(s) = 9*s. Let y(i) = -5*i. Let z be -8 - -12 - (-1)/(-3)*3. Determine f*y(p) + z*a(p). 2*p Let y(z) = z**3 - z - 6. Let t(d) = 21*d - 2*d**3 + 5 + d**3 - 20*d. What is -6*t(q) - 5*y(q)? q**3 - q Let u(d) be the first derivative of -4*d**3/3 + 2*d**2 - 5*d - 9. Let b(a) = -21*a**2 + 21*a - 26. What is -2*b(p) + 11*u(p)? -2*p**2 + 2*p - 3 Let m(r) = -102*r**2 - 11*r - 8. Let t(l) = -34*l**2 - 4*l - 3. Determine -3*m(k) + 8*t(k). 34*k**2 + k Let m(t) = t + 1. Let r(q) = 4*q - 4. Let v(s) = -1. Let b(h) = -r(h) + 6*v(h). Calculate -3*b(z) - 8*m(z). 4*z - 2 Let k(t) = t**2 - 1. Let s(g) = -2*g**2 + 33*g + 3. Give 3*k(z) + s(z). z**2 + 33*z Let m(z) = 15*z**2 - 5*z - 5. Let c(n) = -16*n**2 + 4*n + 4. Give 5*c(t) + 4*m(t). -20*t**2 Let v(i) = -4*i**3 - 3*i. Let z(k) = -9*k**3 - k**2 - 7*k. Let g = -35 + 40. Calculate g*v(c) - 2*z(c). -2*c**3 + 2*c**2 - c Let m(y) = -4*y - 5. Let v(o) = 5*o + 6. Let u be 276/20 + 2/10. Let n = u - 8. Give n*m(r) + 5*v(r). r Let m(v) = v - 5. Let g(q) = 2*q - 9. Suppose 3*i = -i - 24. Let s = i - -9. Calculate s*g(f) - 5*m(f). f - 2 Let x(h) = -4*h + 3. Let n(t) = 5*t - 4. Determine 6*n(b) + 7*x(b). 2*b - 3 Let g(q) = 7*q - 5. Let i(d) = -7*d + 6. Calculate 6*g(w) + 5*i(w). 7*w Let f(v) = 4*v**2 + 2*v + 1. Let u be f(-1). Let p = 20 - u. Let i(r) be the second derivative of 5*r**3/6 - r. Let m(z) = 14*z. What is p*i(o) - 6*m(o)? o Let p(f) = f - 3. Let x(o) be the first derivative of o**2/2 - o + 6. Determine p(v) - 2*x(v). -v - 1 Let y(r) = 6*r**2 - 12. Let n(s) = -1. Suppose -i - 1 = 0, -6*i - 5 = -3*q - 4*i. Give q*y(j) - 12*n(j). 6*j**2 Let v(z) be the second derivative of -z**3/3 + z. Let w(m) = m + 10. Let r be w(-5). Let a(u) = 5*u - r*u - u. Determine -7*a(q) + 3*v(q). q Suppose 0 = -3*z - m, -4*z + 4*m - 2*m = -10. Let w(i) = 7*i**2 - i. Let v be w(z). Let c(r) = -1 + 4 - 2*r + 2. Let b(u) = -2*u + 6. Give v*b(f) - 7*c(f). 2*f + 1 Let c(z) be the second derivative of z**3/2 - 33*z. Let j(s) = -21*s. What is 27*c(a) + 4*j(a)? -3*a Let z(l) = l**2 - 1. Let a(y) = -y**3 + y**2 - 1. What is -a(q) + 3*z(q)? q**3 + 2*q**2 - 2 Let z(j) = -j + 1. Let n(p) = -2*p**2 - p + 8. What is n(v) - 2*z(v)? -2*v**2 + v + 6 Let o(l) = 2*l**3 - l**2 - 2*l + 7. Let h(s) = -s**3 + s**2 + 2*s - 6. Calculate -7*h(c) - 6*o(c). -5*c**3 - c**2 - 2*c Let l(k) = 21*k**3 - 11. Let d(u) = -4*u**3 - 2. Let z(q) = -1. Let n(w) = -d(w) + 4*z(w). Calculate -2*l(b) + 11*n(b). 2*b**3 Let z(h) = 4*h**2 + 2 - 2 - 5*h. Let m = -13 + 18. Let l(s) = -7*s**2 - 5*s. Let v(o) = -o**2 - o. Let p(r) = -l(r) + 6*v(r). Give m*p(f) - z(f). f**2 Let j(i) = i. Let v(l) = 4*l + 1. Let c = 60 + -58. Determine c*v(r) - 9*j(r). -r + 2 Let k(u) = 3*u - 2. Let h(m) = -6*m + 5. Suppose 0*x + x = -r + 4, r = x - 6. What is x*k(z) + 2*h(z)? 3*z Let m(r) = 3*r**2 + 4*r**2 - 6*r**2 - r**3. Let v(t) = t - 1. Let i be v(1). Suppose -2*b - 10 = -i*b. Let z(n) = 4*n**3 - 5*n**2 - 2*n. What is b*m(d) - z(d)? d**3 + 2*d Let j(n) = 15*n**2 - 25*n - 5. Let h(s) = -s**2 + s. Let f(l) = -25*h(l) - j(l). Let p(x) = 5*x**2 + 2. Determine 2*f(y) - 5*p(y). -5*y**2 Let o(h) = h**2 - 6*h + 6. Let g(x) = -5*x**2 + 25*x - 25. Calculate -6*g(q) - 25*o(q). 5*q**2 Let t(n) be the second derivative of 0 - 1/3*n**4 - 1/6*n**3 - 3*n + 1/2*n**2. Let a(c) = c**2. Let z = 3 + -2. Determine z*t(k) + 2*a(k). -2*k**2 - k + 1 Let g(n) = n**2 + 5*n. Let c(i) = -i. Let j(q) = -5*c(q) - g(q). Let y(w) = -12*w**2 + w. Determine -22*j(t) + 2*y(t). -2*t**2 + 2*t Suppose -3*f - 15 = -6*f. Let z(o) = 3*o**3 - 7*o**2. Let c be (14/(-35))/(2/(-10)). Let p(h) = -c*h**3 + 13 + 5*h**2 - 13. What is f*z(d) + 7*p(d)? d**3 Let n(t) = -3*t**2 - t - 2. Let j(s) = -11*s**2 - 5*s - 8. Give -2*j(b) + 9*n(b). -5*b**2 + b - 2 Let h(o) = -o**3 - 3*o + 3. Let w(m) = 2*m**3 + 4*m - 4. What is -4*h(z) - 3*w(z)? -2*z**3 Let f be 1*3/1*-1. Let g(u) = -u**2 + u + 1. Let a(q) = -5*q**2 + 3*q. Calculate f*g(v) + a(v). -2*v**2 - 3 Let t(s) = 3*s - 2. Let f(j) = j. Calculate -6*f(p) + t(p). -3*p - 2 Let k(x) = -7*x**2 + 37*x + 7. Let f(c) = 10*c**2 - 55*c - 11. Let b(o) = 5*f(o) + 7*k(o). Let j(h) = 3*h + 1. Determine -2*b(w) - 11*j(w). -2*w**2 - w + 1 Let a(h) = -h**2 - 13*h - 10. Let z be a(-13). Let r(s) = 7*s**3 - 5*s**2 - 5*s - 3. Let i(y) = -4*y**3 + 3*y**2 + 3*y + 2. Give z*i(c) - 6*r(c). -2*c**3 - 2 Let h(t) = t**2 - 13*t - 3. Let k(j) = -4*j**2 + 64*j + 14. Give 14*h(a) + 3*k(a). 2*a**2 + 10*a Let g(a) = -11*a - 7. Let r(u) = 12*u + 8. Calculate 7*
{ "pile_set_name": "DM Mathematics" }
9*a**3 - 1. Let f be g(1). Calculate the remainder when (-24)/(-1) + f/(-9) is divided by 8. 6 Let y = -67 - -136. Suppose -3*g = y - 9. Calculate the remainder when (-1)/(-2)*4 - g is divided by 8. 6 Let u(d) = 4*d**2 - 4*d + 6. Let b be u(4). Let i = -21 + b. Suppose 3*h = w - h - 2, -5*w - 3*h + i = 0. What is the remainder when 10 is divided by w? 4 Suppose 921 = 12*f - 9*f. Suppose a - 3*a - 2*h + 146 = 0, -4*a = -h - f. Calculate the remainder when a is divided by 20. 16 Suppose -20 = 3*a - 44. Calculate the remainder when 30 is divided by a. 6 Suppose 0 = 3*x - 4*t + 5*t + 15, -5*x - t = 27. Calculate the remainder when 51 is divided by -2*(-3 - (-21)/x). 12 Let c(m) = 12*m - 3. What is the remainder when c(1) is divided by 2? 1 Suppose 4 = z + 3*z. What is the remainder when ((-13)/(-2))/(z/2) is divided by 4? 1 Let o(n) = -n - 3. Let b be o(-6). Let k = 69 - 67. Suppose 2*y - y + 5*x = -12, -3*y = k*x - b. What is the remainder when y is divided by 2? 1 Let f = 9 - 5. Suppose -f*m = -b + 27, -m + 15 = 2*b + 4*m. Suppose -3 = -j + 4*r + 11, 0 = 2*j + 5*r - b. Calculate the remainder when 38 is divided by j. 8 Let i = 0 + 7. Calculate the remainder when 33 is divided by i. 5 Suppose i = -3*b + 31, 0*b = 4*b - 4*i - 52. What is the remainder when 20 is divided by b? 9 What is the remainder when 84 is divided by (5/((-90)/(-66)))/((-1)/(-6))? 18 Let i = -13 - -91. Calculate the remainder when i is divided by 20. 18 Suppose -2*t + 19 = 7. Suppose 3*c + 7 = 4*b + 32, -b + t = c. Calculate the remainder when 13 is divided by c. 6 Let y(x) = 94*x**3 - 2*x + 1. Let i be y(1). Let c = i - 44. What is the remainder when c is divided by 17? 15 Let w = -70 + 116. Calculate the remainder when w is divided by 16. 14 Let d(i) = i**2 - 5*i + 5. Let p be d(5). Suppose -2 = -3*m - 4*q + 18, 0 = -4*m - q + p. Calculate the remainder when 5 is divided by (1 + 0)*(2 - m). 1 Suppose 27*c + 20 = 32*c. What is the remainder when 7 is divided by c? 3 Calculate the remainder when ((-76)/(-8))/(2/4) is divided by ((-51)/(-15) - 2)*5. 5 Suppose 25*w - 28*w = -78. What is the remainder when 51 is divided by w? 25 Suppose -2*b + 153 = 7*b. Calculate the remainder when 32 is divided by b. 15 Suppose 4*z = 68 - 0. Let s(c) = c**3 + 8*c**2 + 7*c + 2. What is the remainder when s(-6) is divided by z? 15 What is the remainder when (11 - -6)*(-2)/(-1) is divided by 20? 14 Let b(x) be the second derivative of 2*x**3 - 3*x**2 + 3*x. Calculate the remainder when b(4) is divided by 15. 12 Let b be (-8)/20 + 27/5. What is the remainder when 2 - (-3 + b - 11) is divided by 3? 2 Let c be 2/7 + (-158)/14. Let l be 6/(-12) - c/2. Suppose -l*d + 13 - 3 = 0. What is the remainder when 5 is divided by d? 1 Let k = 46 - 37. What is the remainder when k is divided by 6? 3 Calculate the remainder when (-223)/(-2) + -1 - (-7)/(-14) is divided by 23. 18 Let p(f) = -87*f - 3. Let s be p(-4). Suppose 5*r - s = w, -5*r - 3*w + 138 = -3*r. Suppose 16 = 5*j - r. What is the remainder when 33 is divided by j? 16 Suppose 24 = 3*z - 3. Suppose -6 = -0*o - o - 4*m, -z = -2*o - 5*m. Suppose -4*v - 14 - 4 = -o*s, -v = -3. Calculate the remainder when s is divided by 8. 7 What is the remainder when 0 - (-2 + 6) - -29 is divided by 14? 11 Suppose -5*w + 19 = 3*i - 15, -3*i + 16 = -4*w. Let a(t) = t**3 + t + 23. What is the remainder when a(0) is divided by i? 7 Suppose 3*j - 1998 = -528. Suppose -j = -b - 4*b. What is the remainder when b is divided by 25? 23 Let l(o) = o**3 - o**2 - 5*o + 3. Let y be l(3). Let q = -3 + y. Let w(b) = b**3 - 2*b**2 + 2*b + 1. Calculate the remainder when w(q) is divided by 6. 4 Let l(y) = -y**2 - 9*y - 4. Let c(n) = n - 8. Let b = -2 - -2. Let t be c(b). What is the remainder when l(t) is divided by 3? 1 Let z = 18 + -10. What is the remainder when z is divided by 5? 3 Let q(c) = -c**2 + 7*c + 3. Let j be q(7). Suppose -j*o = -2 - 4. Let s(x) = -x - 1. Calculate the remainder when o is divided by s(-3). 0 Let s(h) = -h**3 + 5*h**2 + 8*h - 9. Let f be s(6). Suppose -3*l = -q - 43, f*l = -0*l + 5*q + 47. What is the remainder when l is divided by 5? 4 Let q(s) = 8*s - 9. Let p(z) = -2*z + 2. Let d(x) = -9*p(x) - 2*q(x). What is the remainder when 38 is divided by d(7)? 10 Let f = 1 - -8. What is the remainder when 15 is divided by f? 6 Suppose 346 = 5*q - 454. Suppose 0 = -0*o - 4*o + q. Calculate the remainder when o is divided by 21. 19 Suppose 10*a - 31*a + 609 = 0. Calculate the remainder when a is divided by 27/3 - 2/2. 5 Let a be (-1)/(1/(-1))*47. Let f = a + -23. Calculate the remainder when f is divided by 13. 11 Suppose -2*h + 7*h - 380 = 3*r, 152 = 2*h + 5*r. Calculate the remainder when h is divided by 40. 36 Suppose 6*y - 19 = y - u, y = -2*u + 2. Let c = 6 + 5. Suppose -5*k + 5*m + 10 = 0, -m - c = -3*k - 3*m. Calculate the remainder when y is divided by k. 1 Let w = -12 + 21. Let h be (-2)/6 - ((-30)/(-18) + 5). Let g = h + w. Calculate the remainder when 2 is divided by g. 0 What is the remainder when 58 is divided by (-8 - -5)*-5*1? 13 Let d(y) = -y + 3. Calculate the remainder when 30 is divided by d(-6). 3 Let y = 3 - 3. What is the remainder when 15 is divided by -2 - y - 10/(-1)? 7 Suppose 6*h - 2*h = 24. Let x = h + -3. Suppose 8*i - x*i = -4*j + 41, -4*i + 58 = 5*j. Calculate the remainder when j is divided by 5. 4 Let y be 7/21 - 5/(-3). Suppose 4*c + 40 = 4*f, -y*c + 6*c + 15 = -f. Calculate the remainder when 14 is divided by f. 4 Let m be -2 - (36/3)/(-2). Let a = 8 - m. What is the remainder when 13 is divided by a? 1 Suppose -4*f + 7*f + 42 = 0. Let c = f - -33. What is the remainder when 56 is divided by c? 18 Suppose -10 = -5*p, 5*f + p = -3*p + 83. What is the remainder when 103 is divided by f? 13 Let q(r) = -r**2 + 15*r + 22. Let c be q(16). Let o = c - 3. Calculate the remainder when 9 is divided by o. 0 Calculate the remainder when 63 is divided by (-233)/(-7) + (-10)/(-35)*-1. 30 Suppose -5*k + 4*o + 216 = 0, 2*o - 36 - 116 = -4*k. Calculate the remainder when k is divided by 23. 17 Suppose -11*w + 31 = -35. Let v(d) = 22*d**2 + d + 1. What is the remainder when v(-1) is divided by w? 4 Suppose 0 = 3*m + 3*l + l - 127, -115 = -3*m - l. Calculate the remainder when m is divided by 15. 7 Let x be (6 - -1) + (3 - 0). Suppose 0 = -f + 5*f - 20. What is the remainder when 11 is divided by ((-6)/f)/((-2)/x)? 5 Let o(p) = -5*p - 52. What is the remainder when o(-11) is divided by 2? 1 Let j(l) = -33*l. Calculate the remainder when 163 is divided by j(-1). 31 Suppose -4*z - 182 = -3*m, 5*m + z - 125 = 3*m. Calculate the remainder when m is divided by 17. 11 Suppose 0 = u - 5*u + 132. What is the remainder when 63 is divided by u? 30 Let j = -45 + 65. Let n = 65 - j. What is the remainder when n is divided by 12? 9 Suppose 5*r - 12 = v, -4*r + 1 + 11 = 0. Suppose v*u = u + 34. Calculate the remainder when u is divided by 6. 5 Suppose 4*d + 3*q + 2*q - 44 = 0, 3*q = 2*d. Let b = -1 + d. Suppose -2*a + 4*h = -18, 2*a - h = b*a + 1. What is the remainder when a is divided by 1? 0 Suppose 316 = 9*t - 5*t. Suppose -5*y + 3*y + 42 = 0. What is the remainder when t is divided by y? 16 Suppose 58 = -2*t - 4*f, -f + 167 = -7*t + 2*t. Let k = -18 - t. What is the remainder when 27 is divided by k? 12 Let f(u) = -u**3 - 7*u**2 + 6*u. Suppose 248 = -2*q + 6*q. Calculate the remainder when q is divided by f(-8). 14 Let z = -37 + 81. What is the remainder when z is divided by 12? 8 Suppose 3*j = 9, -j + 6*j = -3*s + 33. Let h be (9/s + -1)*8. Suppose 9 = -3*b + 3, 38 = 5*a - h*b. What is the remainder when 17 is divided by a? 5 Let p(i) = 2*i**3 - 5*i**2 + 3*i - 2. Let h = 502 - 457. What is the remainder when h is divided by p(3)? 13 Let x(c) = -c**2 - 7*c + 1. Suppose 5*r = -4*u - 44, -2*u + 7*r = 3*r - 4. Let a be x(u). Let l = a + 28. Calculate the remainder when l is divided by 12. 11 Let u be 1018/4 - 27/18. What is the remainder when (-7)/28 + u/4 is divided by 22? 19 Let a be 1 - ((-2)/(-1) - 1). Suppose a*z = z - 3. Let k = -11 - -19. What is the remainder when k is divided by z? 2 Let s(q) = -q**2 + 65. Let x be s(0). Suppose -6*z + z = -x. Calculate the remainder when 36 is divided by z. 10 Let s = -19 - -34. Let x = s + -7. What is the rema
{ "pile_set_name": "DM Mathematics" }
ked without replacement from yyuyayyyyua? 2/55 What is prob of sequence pdyp when four letters picked without replacement from {y: 5, p: 9, d: 3, q: 3}? 3/323 What is prob of sequence dddq when four letters picked without replacement from {d: 6, q: 12}? 1/51 What is prob of sequence nnn when three letters picked without replacement from {n: 3}? 1 What is prob of sequence at when two letters picked without replacement from {l: 2, t: 6, s: 3, a: 7, w: 1}? 7/57 Two letters picked without replacement from {o: 9, v: 3}. Give prob of sequence vv. 1/22 What is prob of sequence nh when two letters picked without replacement from hnhkpknhhhkwkkpk? 1/24 What is prob of sequence qds when three letters picked without replacement from dqdkqs? 1/30 Two letters picked without replacement from dqqq. What is prob of sequence qd? 1/4 Calculate prob of sequence nu when two letters picked without replacement from uullnnllullnl. 3/52 Four letters picked without replacement from wwcccccccwcc. Give prob of sequence wcww. 1/220 Calculate prob of sequence ss when two letters picked without replacement from {h: 4, s: 4, o: 7}. 2/35 Three letters picked without replacement from {q: 3, u: 3, c: 7}. What is prob of sequence qcu? 21/572 Two letters picked without replacement from bbbbbbmbbbbbbbbbbbbb. What is prob of sequence bb? 9/10 Calculate prob of sequence ymi when three letters picked without replacement from {t: 3, a: 2, i: 2, r: 6, y: 2, m: 2}. 1/510 Four letters picked without replacement from kffkkffgkkffkffkfgk. Give prob of sequence ffgf. 7/646 What is prob of sequence ipb when three letters picked without replacement from {x: 4, b: 1, r: 4, p: 3, i: 2, d: 1}? 1/455 What is prob of sequence lyg when three letters picked without replacement from lolglllollllgyll? 11/1680 Four letters picked without replacement from {u: 7, c: 3}. What is prob of sequence ucuc? 1/20 Three letters picked without replacement from {a: 2, h: 2, t: 4}. What is prob of sequence thh? 1/42 Calculate prob of sequence eecv when four letters picked without replacement from {c: 1, e: 9, v: 1}. 1/110 Two letters picked without replacement from {w: 11, d: 1}. What is prob of sequence wd? 1/12 Calculate prob of sequence elyh when four letters picked without replacement from {r: 2, y: 2, h: 2, l: 1, e: 1}. 1/420 Four letters picked without replacement from xxxxmxxxxmxxxmx. What is prob of sequence mxmx? 11/455 Calculate prob of sequence hyh when three letters picked without replacement from {l: 1, h: 8, e: 2, y: 6, z: 1}. 7/102 What is prob of sequence ol when two letters picked without replacement from oooooloioooooo? 6/91 What is prob of sequence lfli when four letters picked without replacement from liflfgf? 1/140 Calculate prob of sequence heee when four letters picked without replacement from eeheeeehheh. 7/66 Three letters picked without replacement from tkrkrrrgg. Give prob of sequence grk. 2/63 Two letters picked without replacement from {d: 2, h: 1, q: 4, x: 3, y: 4, o: 1}. What is prob of sequence od? 1/105 What is prob of sequence xvxx when four letters picked without replacement from {x: 6, v: 4}? 2/21 Two letters picked without replacement from hzhliczjlzjz. Give prob of sequence jl. 1/33 Four letters picked without replacement from bbbbbbbzbbbbb. What is prob of sequence zbbb? 1/13 Two letters picked without replacement from ehekxlhw. What is prob of sequence kw? 1/56 Calculate prob of sequence dkc when three letters picked without replacement from {k: 10, e: 1, d: 2, c: 1}. 5/546 Calculate prob of sequence fap when three letters picked without replacement from fpapbbpkbfqpbkq. 4/1365 Calculate prob of sequence fllf when four letters picked without replacement from {f: 9, l: 5}. 60/1001 Four letters picked without replacement from {m: 4}. What is prob of sequence mmmm? 1 Two letters picked without replacement from {q: 1, t: 1, r: 1, p: 1, a: 1, y: 2}. What is prob of sequence ar? 1/42 Two letters picked without replacement from {w: 1, j: 1, x: 12, c: 1, n: 3, k: 1}. Give prob of sequence jn. 1/114 Two letters picked without replacement from {g: 2, s: 2, d: 3, j: 3, e: 1, z: 1}. What is prob of sequence je? 1/44 Four letters picked without replacement from {t: 1, v: 1, u: 3}. What is prob of sequence vuut? 1/20 Two letters picked without replacement from ndt. What is prob of sequence nd? 1/6 What is prob of sequence svs when three letters picked without replacement from {s: 9, v: 5}? 15/91 Two letters picked without replacement from {u: 1, l: 1, x: 4, j: 2}. What is prob of sequence ul? 1/56 Two letters picked without replacement from {b: 5, d: 5, v: 8}. Give prob of sequence bv. 20/153 Two letters picked without replacement from {x: 1, f: 4, j: 6, e: 4, g: 2}. What is prob of sequence ge? 1/34 Two letters picked without replacement from {l: 5}. Give prob of sequence ll. 1 Calculate prob of sequence hof when three letters picked without replacement from {h: 11, o: 2, f: 2}. 22/1365 Two letters picked without replacement from {c: 3, z: 17}. What is prob of sequence cc? 3/190 Four letters picked without replacement from llzzllzllz. Give prob of sequence zzll. 1/14 What is prob of sequence kwk when three letters picked without replacement from {w: 1, u: 1, k: 2, x: 1}? 1/30 Three letters picked without replacement from {g: 3, y: 4, p: 3, j: 3}. What is prob of sequence jjg? 3/286 Four letters picked without replacement from mkcmamczcmmmammcamca. Give prob of sequence mckz. 1/2584 What is prob of sequence fjf when three letters picked without replacement from afffarajfjjjjjfaafj? 35/969 What is prob of sequence mepq when four letters picked without replacement from {p: 2, m: 2, e: 2, q: 2}? 1/105 Four letters picked without replacement from rqqrwrk. What is prob of sequence qwrk? 1/140 Two letters picked without replacement from {k: 4, i: 3, q: 2, u: 9}. What is prob of sequence qk? 4/153 Three letters picked without replacement from gxxxxxxxxxxxx. Give prob of sequence gxg. 0 What is prob of sequence fb when two letters picked without replacement from isbilbifsjb? 3/110 Calculate prob of sequence vz when two letters picked without replacement from zhzprrvprzrzztvr. 1/24 Calculate prob of sequence ae when two letters picked without replacement from {y: 3, a: 3, l: 1, d: 1, e: 1, i: 2}. 3/110 Three letters picked without replacement from {m: 6, s: 2}. Give prob of sequence msm. 5/28 What is prob of sequence oooo when four letters picked without replacement from {o: 9}? 1 What is prob of sequence oko when three letters picked without replacement from bobbcbccbbbkcob? 1/1365 Calculate prob of sequence bqrs when four letters picked without replacement from {v: 1, q: 2, s: 8, b: 1, m: 3, r: 1}. 1/2730 Two letters picked without replacement from jdodnjddddjdjj. Give prob of sequence no. 1/182 Three letters picked without replacement from {a: 2, w: 6, m: 3, u: 1, t: 2, x: 1}. What is prob of sequence ttx? 1/1365 Four letters picked without replacement from {d: 1, w: 1, n: 8, t: 1, b: 9}. Give prob of sequence ntdn. 7/14535 Two letters picked without replacement from lpplfbp. What is prob of sequence fl? 1/21 Four letters picked without replacement from {v: 2, n: 18}. Give prob of sequence nvvn. 1/190 Four letters picked without replacement from xxpprxrbrxbrxrprbpb. What is prob of sequence rbbr? 5/1292 What is prob of sequence mn when two letters picked without replacement from nniniiininnnm? 7/156 Two letters picked without replacement from cjccjjcjjj. Give prob of sequence cc. 2/15 Three letters picked without replacement from {t: 1, z: 2, w: 2, r: 1, n: 1, g: 1}. Give prob of sequence rgn. 1/336 What is prob of sequence kkk when three letters picked without replacement from kyykkky? 4/35 What is prob of sequence uee when three letters picked without replacement from {e: 10, u: 2}? 3/22 Four letters picked without replacement from xxjccpde. What is prob of sequence xcej? 1/420 Three letters picked without replacement from {c: 1, w: 2, h: 1, m: 3, p: 3, u: 7}. Give prob of sequence pmm. 3/680 Calculate prob of sequence qqtt when four letters picked without replacement from {q: 4, t: 3, z: 2, g: 2}. 1/110 Calculate prob of sequence oa when two letters picked without replacement from znoace
{ "pile_set_name": "DM Mathematics" }
d the common denominator of 53/52239 and -35/9498. 104478 Find the common denominator of 23/87728 and -85/318014. 2544112 Find the common denominator of 94/105 and -39/6100. 128100 Calculate the least common multiple of 8448 and 1326. 1867008 Find the common denominator of 5/64 and 73/1776. 7104 Calculate the common denominator of 62/351 and -53/29835. 29835 Calculate the smallest common multiple of 14696 and 108. 396792 What is the smallest common multiple of 2030 and 11368? 56840 Calculate the lowest common multiple of 364000 and 150. 1092000 Calculate the common denominator of -39/21128 and -44/18487. 147896 What is the common denominator of -161/30 and -67/4820? 14460 Find the common denominator of -61/106190 and 23/49. 743330 What is the least common multiple of 6 and 117008? 351024 Calculate the lowest common multiple of 18 and 27162. 27162 What is the common denominator of -127/5382 and 25/11661? 69966 Calculate the common denominator of 71/1518 and 109/1518. 1518 What is the lowest common multiple of 18240 and 3648? 18240 What is the least common multiple of 4 and 221086? 442172 Calculate the smallest common multiple of 57 and 14757. 280383 Calculate the least common multiple of 14326 and 377. 14326 Find the common denominator of -67/130680 and 61/880. 261360 Calculate the least common multiple of 1728 and 32. 1728 What is the common denominator of -139/141036 and 103/588? 987252 Find the common denominator of -83/4530 and -89/276. 208380 What is the smallest common multiple of 698120 and 25335? 6283080 What is the lowest common multiple of 16851 and 738? 101106 What is the common denominator of 89/40 and -87/1654700? 3309400 What is the smallest common multiple of 162 and 8847? 159246 What is the common denominator of 41/2574 and 79/8242? 815958 Calculate the common denominator of 83/176 and 3/8101. 1425776 Calculate the least common multiple of 132 and 213924. 2353164 Calculate the common denominator of -11/1406 and 19/1517. 57646 Find the common denominator of -19/4 and 71/27990. 55980 Find the common denominator of -101/433836 and 139/18. 433836 Calculate the lowest common multiple of 20210 and 6063. 60630 What is the common denominator of 61/9 and -13/130003? 1170027 Find the common denominator of 31/12666 and 61/27. 113994 What is the common denominator of 37/140 and -50/3057? 427980 Calculate the common denominator of 155/1476 and -209/2100. 258300 Find the common denominator of -187/772560 and -163/16650. 3862800 Calculate the least common multiple of 6453 and 297. 70983 Calculate the least common multiple of 9 and 118971. 118971 What is the common denominator of 71/16 and -41/5053? 80848 Calculate the lowest common multiple of 150923 and 4. 603692 What is the common denominator of 19/11292 and 75/22? 124212 What is the smallest common multiple of 1988 and 973? 276332 Calculate the smallest common multiple of 6 and 652026. 652026 Calculate the least common multiple of 86516 and 2012. 86516 What is the common denominator of -115/84 and 151/60? 420 Find the common denominator of 65/13888 and -151/121520. 486080 Find the common denominator of -15/467747 and -109/10. 4677470 Calculate the smallest common multiple of 1606 and 660. 48180 What is the lowest common multiple of 25929 and 2412? 103716 Find the common denominator of -167/130680 and -7/162. 392040 Find the common denominator of 58/3003 and 17/264. 24024 Find the common denominator of -23/179520 and 16/45. 538560 Find the common denominator of 4/35 and 179/3450. 24150 What is the common denominator of 59/202544 and 45/16? 202544 What is the smallest common multiple of 1445 and 50864? 254320 What is the smallest common multiple of 220908 and 186? 6848148 What is the lowest common multiple of 386200 and 16? 772400 What is the common denominator of 73/2031 and 95/222? 150294 Find the common denominator of 40/91827 and 35/627. 1010097 Calculate the smallest common multiple of 564 and 1046. 294972 What is the common denominator of -173/2700 and -73/195? 35100 What is the lowest common multiple of 1834 and 15982? 111874 Calculate the lowest common multiple of 226 and 83959. 167918 Find the common denominator of 61/196020 and 41/2970. 196020 Calculate the smallest common multiple of 2 and 10885. 21770 What is the least common multiple of 144808 and 56? 1013656 Calculate the lowest common multiple of 1804 and 22. 1804 What is the common denominator of -31/10170 and -9/8? 40680 What is the smallest common multiple of 30 and 392385? 784770 What is the common denominator of -53/684936 and -47/6342? 684936 What is the least common multiple of 8915 and 5349? 26745 What is the common denominator of -73/151368 and -65/21624? 151368 Calculate the smallest common multiple of 2445 and 279. 227385 Calculate the common denominator of 17/45375 and -117/2200. 363000 What is the least common multiple of 234 and 9009? 18018 What is the common denominator of -58/927 and 83/67362? 202086 What is the common denominator of 29/8 and 107/27720? 27720 What is the lowest common multiple of 13585 and 455? 95095 What is the common denominator of -19/23 and 127/11730? 11730 Calculate the least common multiple of 16 and 41558. 332464 Find the common denominator of -69/1918 and -89/70. 9590 Calculate the common denominator of -73/210 and -53/18249. 182490 What is the common denominator of 81/1640 and -23/656? 3280 What is the common denominator of -19/20870 and -99/133568? 667840 Calculate the lowest common multiple of 474 and 328. 77736 Calculate the smallest common multiple of 2548 and 2392. 117208 Calculate the common denominator of -55/1830952 and 50/2059821. 16478568 Calculate the lowest common multiple of 78 and 176904. 176904 Find the common denominator of 163/2907576 and -131/36. 2907576 Find the common denominator of -131/804 and -49/688. 138288 Find the common denominator of -133/32748 and 121/60. 163740 Find the common denominator of 125/6 and -71/2142. 2142 What is the least common multiple of 11 and 35779? 393569 What is the smallest common multiple of 5858 and 24708? 2495508 What is the common denominator of -77/1098 and 49/18422? 165798 Calculate the lowest common multiple of 43078 and 63. 387702 Calculate the lowest common multiple of 20 and 24900. 24900 What is the common denominator of -13/9288 and 56/20511? 492264 Calculate the least common multiple of 1127 and 47. 52969 Find the common denominator of -22/1125 and -79/211450. 9515250 What is the smallest common multiple of 45766 and 2802? 137298 What is the lowest common multiple of 162 and 270? 810 Find the common denominator of -62/288075 and 56/75. 288075 What is the common denominator of -101/18 and -95/3965484? 11896452 Find the common denominator of 25/16406 and -71/3627. 4577274 Calculate the lowest common multiple of 4839 and 53229. 53229 What is the common denominator of 17/37317 and 163/53310? 373170 Calculate the lowest common multiple of 164 and 178473. 713892 What is the common denominator of -3/43 and 103/43258? 43258 What is the lowest common multiple of 12 and 6056? 18168 Calculate the smallest common multiple of 2568 and 13680. 1463760 Calculate the smallest common multiple of 6202 and 70. 31010 Find the common denominator of -2/9075 and 73/208725. 208725 What is the least common multiple of 136 and 4233? 33864 What is the least common multiple of 1064 and 4123? 32984 Calculate the common denominator of 41/3582 and 109/216. 42984 What is the common denominator of -7/12566 and 46/1037? 213622 Calculate the common denominator of 69/356594 and 11/168. 4279128 Calculate the smallest common multiple of 3036 and 50853. 203412 What is the common denominator of -5/7 and -61/28564? 199948 Calculate the smallest common multiple of 3616 and 472. 213344 What is the common denominator of 2/6083 and -103/5530? 60830 What is the lowest common multiple of 2417 and 50757? 50757 What is the least common multiple of 41120 and 37008? 370080 Find the common denominator of -8/99 and 149/5346. 5346 What is the lowest common multiple of 10 and 2392? 11960 What is the least common multiple of 309096 and 648? 309096 What is the least common multiple of 845446 and 94897? 9299906 Calculate the common denominator of -55/88868 and -49/65. 444340 Wha
{ "pile_set_name": "DM Mathematics" }
+ 4*q. Solve 3*n = -g*h - 24, 4*h + n - 2 = -y for h. -3 Let b(t) = t - 3. Let w be b(5). Suppose -10 = -4*y - 2*f, -y - 4 + w = -4*f. Let o be y*(8 - 2)*1. Solve o = 3*v + 3*u, 3*v + 6*u - 2*u = 16 for v. 0 Let o(s) = s**3 + 9*s**2 - 9*s + 13. Let l be o(-10). Solve l*m = x - 20, 3*x - 2*m + 8 = 33 for x. 5 Let a = 15 + -13. Suppose -2*l + a = r, l - 4*l - 3*r = 3. Solve -l*z - 2*t - 2 = 2*t, 9 = -5*z - t for z. -2 Let b be (14 - 2)/4 + 16. Suppose -5*g = -4*k - 2*g, 5*k + g = b. Solve s - 15 = 4*n, 9 = s - 3*n - k for s. 3 Let r = -3 - -8. Solve -4*c + 20 = -4*n, -n + 2 = r*c + 1 for n. -4 Let u be 30/9*(-12)/(-10). Let k = 4 - u. Let p be -1*(-6 - (k + 2)). Solve -p - 12 = 5*g - 5*o, 3*g + o = 0 for g. -1 Let g = -146 - -149. Let r(s) be the second derivative of s**4/12 + s**3/6 - s. Let q be r(-2). Solve f = -x, f + q*x = -g*x - 20 for f. 5 Suppose -115 = 15*v - 10*v. Let l = -11 - v. Solve -3*a - d - 4 = l, -4 = -2*a + 3*d for a. -4 Let a(c) = c**3 + 3*c**2 + 3*c + 2. Let v be a(-3). Let d = v - -9. Let u = d + 3. Solve -5*y + u*o = 10, 3*y + 0*y + 4*o = 29 for y. 3 Let z = 25 + -16. Let v be 10 + 5 + -2 + 1. Let k = v - z. Solve 4*a + 4*w = -a - 10, 0 = -k*a - w - 10 for a. -2 Let z be 12/10*150/9. Solve 5*u = -3*y - 0*u + 23, -4*y + z = 4*u for y. 1 Let a be (24/10)/(1/5). Suppose -3*y + a = -h - y, -3*h - 25 = 5*y. Let v = h + 18. Solve i - 23 = 5*d, -3*d - 7 = -v*i + 4*i for i. -2 Suppose 2*t = 7*t - 60. Let a(z) = -z - 16. Let y be a(-9). Let o = y + t. Solve s = -2*s - 2*h + 4, o*h - 23 = -s for s. -2 Let q(j) = -j**2 + 4*j + 3. Let c be q(4). Solve 2 = 2*r - 0*r + 2*x, 6 = c*r + 4*x for r. -2 Let b be (-1)/(-6) - (-6)/((-108)/(-105)). Solve q + u + 9 = -3*q, q = -u - b for q. -1 Let y(b) = -b**3 - 11*b**2 - 10*b + 9. Let z be y(-10). Let l be (-3)/(4/((-48)/z)). Solve 2*t + t = 4*i + 25, -i - l = 0 for t. 3 Let j(t) = t**3 - t**2. Suppose -13 - 2 = -5*d. Suppose h + d = 5. Let f be j(h). Solve f*g = 5*l + 5, 4*l + 0*g = -3*g + 27 for l. 3 Suppose -6 + 21 = 5*m. Solve -2*z - 4 + 2 = p, -m*z = 3*p for p. 2 Let i = 3 - 2. Let w be (13 - (2 - i))*-1. Let k be w/(-7) - 6/(-21). Solve -2*u - 4 = -2*t, 2*t + t - 2*u - k = 0 for t. -2 Suppose -2*u = -3*c + 58, -u + 7 + 19 = c. Solve b - 5*j + c = 0, -3*j = -4*b - 27 + 7 for b. -2 Let l(x) = x**3 - 9*x**2 + 10*x + 6. Let z be l(8). Let c = -2 - -4. Solve 5*y - 14 = -4*o - c, -z = -3*y + 5*o for y. 4 Let r be 1/5 - (-49)/5. Let j = r + -7. Let l be (-2)/(-1) - (1 + 1). Solve t = 3*u + 5*t - j, l = 4*t for u. 1 Let u = 17 + -8. Let i be (0 + u)*1*1. Solve g = 5*p + 10, g - 4*p = -1 + i for g. 0 Let b be 17 + (-9)/3 + -3. Suppose -b*k = -7*k - 52. Solve 0 = 3*j - w + 1, -3*w + 0*w = j - k for j. 1 Let x = -18 - -18. Suppose x = -2*i - 0*i + 10. Solve 2*k - 23 = -0*k - i*z, z + 1 = k for k. 4 Suppose 19 = 2*d + 3*q, -33 = -2*d - 2*d - 5*q. Solve 4*u + d*i = 10, 5*i = -2*u - 2 + 27 for u. 0 Suppose 3*u - 5*c + 14 = 0, 22 = u - 0*c + 5*c. Suppose -u*r = r - 12. Solve -4*d + 2*t + 10 = -2*d, -2 = 5*d + r*t for d. 2 Suppose 37 = 14*n - 33. Solve 13 = -n*m - 12, 9 = -p - m for p. -4 Let a = -1 + 1. Suppose a = 2*g + 12. Let b = -2 - g. Solve b*n = -3*q - 4 - 9, 0 = 4*n - 3*q + 19 for n. -4 Suppose -5*m = -5*l, -5*m = -l + 2*l - 18. Suppose 5 = 4*a - l. Let w be -3*(-4 + 2) - a. Solve -5*h - w*q = 8 + 14, h + q = -5 for h. -2 Suppose -4*s = 3*w - 18 + 4, -3 = -w - s. Let g be (-168)/(-30) - w/5. Solve 6*r = 4*r - 2*j - g, 11 = -3*r - j for r. -4 Let g be (-10)/((-25)/(-5))*-7. Solve -m + g = -2*b, 4*m + 4*b + 5 = 1 for m. 4 Suppose -v + 4 = v + 4*g, -3*v + 6 = -2*g. Solve -l + 6*l = -4*s + 17, -s + 8 = v*l for s. -2 Suppose 2*h - 8 = 4*h. Let y be (-1)/4 - 13/h. Let w be y/2*176/12. Solve 3*b = -2*b + 10, 0 = -4*n + b - w for n. -5 Suppose 3*q + m = 5, -2*m - 1 = -q - 3*m. Let p be (-45)/(-10)*2/3. Suppose p*d = 4*d - 3. Solve -12 = -4*v, -q*j + v = d*j - 7 for j. 2 Suppose f + 9 = -3*x, -5*f = -5*x + 14 - 69. Suppose 2*s + 0 = 6. Let m(r) = 3*r**2 - 1. Let j be m(-1). Solve -j*y = s*t - 19, -y - 2*y = -f for t. 5 Let b = 6 + -1. Solve -31 = 4*z + 3*c, c + b = -0*c for z. -4 Suppose 0 = 2*y + 5*x - 33, 0 = -y + 3*y + 4*x - 28. Suppose -r = y*r. Solve 2*q + 12 = -4*c - r*c, 3*q - 2*c = 22 for q. 4 Let h be 26/(-6) + 2/6. Let b be 2/((12/(-33))/h). Solve -5*c - 20 = -n, 0 = -5*c + c + 2*n - b for c. -3 Let x = 73 + -67. Solve -x*c + 2*g = -5*c + 1, -4*g - 33 = 5*c for c. -5 Let x = -1 - -1. Let o(d) = -d + d - d + x. Let u be o(-1). Solve -4*v = 3*r - 15, 0 = 2*r + 2*v - 7 - u for r. 1 Let g(i) be the first derivative of -i**3/3 - 17*i**2/2 - 5*i - 6. Let o be g(-15). Solve 5 = 5*w - 3*f, -5*w = -f + 4*f + o for w. -2 Suppose -2*s - 4 = s - 4*h, 4*s = 4*h. Solve t - 3*j = -10, 0*t - s*j = -4*t - 16 for t. -1 Let i be 1 + -4 + 3 - -3. Solve -5*c - 4*s - 33 = 0, 3*c - i*s = 2*c + 1 for c. -5 Suppose 5*q = -5*c + 95, 4*q - 17 = -c + 14. Let u be (-2)/10 - (-3)/c. Solve r + r - 3*f = u, 0 = -r - 4*f for r. 0 Let g be (-1)/((-8)/(-4))*-2. Let z be 14 - g - 6/6. Solve 5*x = -q - 18, 0 = -5*q + 3*q + 2*x + z for q. 2 Suppose -3*c = -c + 4. Let z be -2*((-2)/(-4) + c). Solve q + 3 - 10 = 4*a, 4*q + z*a = 9 for q. 3 Let r(z) = z**2 - 1 + z**3 + 0 + 3 - z. Let c be r(0). Suppose 0 = 2*a + c*x - 0 - 10, -3*x + 7 = a. Solve 0 = m + a*f - 25, -3*m + m + 25 = 3*f for m. 5 Let o(p) = -p**3 + 4*p**2 + 4*p + 7. Let f be o(5). Solve 2*g - 5*j = 6 - 2, j + 4 = f*g for g. 2 Let x be (1155/(-198))/(1/(-6)). Solve b - 4*o - 3 = 2*b, 5*b - 5*o - x = 0 for b. 5 Let n be (-55)/(-22)*(-12)/(-10). Solve -n*l + 2*i + 3 = -10, i + 6 = l for l. 1 Let o = -11 + 13. Solve o*q + 3*m = -2*q - 9, -5*q = -m - 3 for q. 0 Let a(p) = -p**3 - 5*p**2 - 5*p + 7. Let n be a(-3). Solve 2*z + 10 = 3*h, 0*h - 20 = 3*h + n*z for h. 0 Let k = 55 - 19. Suppose -k = -4*d + 2*n, 7*n = 4*d + 4*n - 38. Solve 0 = -2*o + d, 0 = -0*i + i - 3*o + 11 for i. 1 Suppose -16 = -4*a + 2*q + 2*q, -a + 8 = -3*q. Suppose 13 = 3*p + 1. Solve -6*k - p = -4*k + a*o, -2*o - 4 = -5*k for k. 0 Let x = 31 + -9. Solve -3*b + 2*q + 0 + x = 0, 31 = 4*b - 3*q for b. 4 Suppose 0*b + b + 4*x + 2 = 0, 3*b - 7 = x. Solve 0*q + q - 1 = m, 0 = -b*q - 5*m - 26 for q. -3 Suppose -3*v + 15 = 2*v. Let a(q) = q + 11. Suppose 3 = -2*z - 13. Let s be a(z). Solve 2*y - 26 = 4*w, -v*w - s*y = -7*w - 31 for w. -4 Let n be 6/15 + (-18)/(-5). Solve 2*m - c = 4*c - 12, -n*c = -8 for m. -1 Let z(p) = -p**2 - 5*p + 2. Let d be z(-5). Suppose -24 = -5*t - d*i, 0 = -2*i + 3*i + 3. Solve 5*l - t = -4*n + 5, n = 3*l + 7 for l. -1 Let n(c) = c**3 + 6*c**2 - c - 6. Let t be n(-6). Solve -4*j + k - 1 = 0, t*j - 2*k + 13 = 3*j for j. 1 Let y be 1/(-2) + 52/8. Solve 4*b + 8 = u - 3*u, -u + y = -3*b for b. -2 Let y = 2 + 0. Suppose -4*x = x + 2*u - 93, 5*x - 101 = -4*u. Solve -4*l + x = -3*t, -y*l - l = -4*t - 18 for t. -3 Let g be (4/(-6))/((-1)/6). Suppose 2*k - 10 = a - 2*k, -4*k - 14 = -5*a. Let p be (-1 - 1)*(a + -7). Solve -3*h + 4*j = -6*h - g, 0 = -h + p*j - 8 for h. -4 Let f = 2 + 2. Suppose 0*p - 20 = -4*p. Suppose p*m = -0 + 10. Solve -12 = -f*o - m*x + 2, -3*x = -3 for o. 3 Let r = -27 - -9. Let v be ((-30)/r)/(3/9). Solve 10 = -4*i + 2*u - 8, -4*i + v*u = 21 for i. -4 Suppose 0*x + 6 = 2*x. Suppose -x + 12 = 3*z. Solve -z*h = -4*q + 2*h - 35, 2*h = -2*q - 4 for q. -5 Suppose -5*a = 4*h - 1, 6*a = 2*a - 12. Suppose -h*w + 14 = -82. Solve 6 = y + 4*r - 10, 0 = y - 4*r + w for y. -4 Suppose -2*j = 5*j - 0*j. Solve m - 3*l - 2 = j, -2*m + m - 6 = l for m. -4 Suppose i - 30 = -2*i. Let s = 4 + i. Solve -2*k = -5*l - s, l = -5*k - 30 + 11 for l. -4 Let t(s) = -s**3 + 10*s**2 + s - 5. Let j be t(10). Solve f - 4*g + 0 = -16, -j*f - 23 = -g for f. -4 Let o = 2 - 0. Let v be (3 + 3)*o/6. Solve -3*u - 4*n + 2*n + 6 = 0, -5*n + 15 = -v*u for u. 0 Suppose -5*q - 2*w + 6 = -20, -2*q + 2*w + 2 = 0. Solve -q*n - m - 20 = -n, 0 = -n - m - 10 for n. -5 Let p = -3 - -3. Let t = -7 - -8. Let g(j) = 2*j**2. Let h be g(t). Solve 5*m = h*d - p*d - 35, -d - 3*m = 10 for d. 5 Let o be ((-2)/6)/(1/(-75)). Suppose -4*v + o = -z, 4*v + 2*z = z + 15. Solve -v*i - 7*p + 3*p = 3, 3*i - 6 = -5*p for i. -3 Let f be (-22 + 22)*(-2)/10. Let m be (3/(-6))/((-1)/6). Suppose 2*o = o + m. Solve -o*d - b - 7 = f, b = 2 - 0 for
{ "pile_set_name": "DM Mathematics" }
tor of 44435? False Is 4190 a multiple of 5? True Is 57984 a multiple of 192? True Is 45253 a multiple of 3? False Is 20 a factor of 38809? False Is 5998630 a multiple of 46? True Does 21 divide 109136? False Does 6 divide 14321473? False Does 26 divide 71204? False Is 1733399 a multiple of 13? False Is 968730 a multiple of 10? True Does 33 divide 482097? True Is 480123 a multiple of 63? True Does 329 divide 5229977? False Is 7 a factor of 540269? False Is 54 a factor of 386156? False Does 6 divide 31649? False Is 179 a factor of 3451353? False Is 36 a factor of 139212? True Is 10000150 a multiple of 883? False Is 90 a factor of 662891? False Is 4695721 a multiple of 33? False Does 380 divide 184497? False Is 113 a factor of 496409? True Is 10 a factor of 923250? True Does 21 divide 82740? True Does 4 divide 809728? True Does 7 divide 19099? False Does 49 divide 3579350? False Is 3188878 a multiple of 154? True Does 357 divide 650454? True Is 287790 a multiple of 318? True Is 23 a factor of 8933574? False Does 29 divide 62263? True Does 20 divide 171560? True Is 201 a factor of 320086? False Is 49 a factor of 899836? True Is 206460 a multiple of 93? True Does 41 divide 121458? False Does 136 divide 2231477? False Is 453 a factor of 27652026? True Is 7456872 a multiple of 1256? True Is 63 a factor of 710514? True Is 65377 a multiple of 107? True Is 66450 a multiple of 50? True Is 5 a factor of 2508342? False Is 21 a factor of 20790? True Is 3 a factor of 984750? True Is 374166 a multiple of 351? True Is 36 a factor of 846504? True Is 6119008 a multiple of 944? True Is 8726185 a multiple of 745? True Does 15 divide 676541? False Is 4 a factor of 4773698? False Is 1272972 a multiple of 86? True Is 2129260 a multiple of 469? True Is 15263 a multiple of 6? False Is 147636 a multiple of 183? False Does 128 divide 339538? False Is 67 a factor of 115727? False Is 36 a factor of 44161? False Is 8 a factor of 3440? True Does 870 divide 1396535? False Is 324377 a multiple of 17? True Is 253657 a multiple of 16? False Is 1292231 a multiple of 443? True Does 40 divide 827508? False Does 68 divide 799068? True Is 5 a factor of 10856? False Is 7 a factor of 47236? True Is 59 a factor of 68617? True Does 101 divide 1324998? False Is 254 a factor of 231394? True Does 161 divide 272650? False Is 64 a factor of 189312? True Is 129 a factor of 1210020? True Is 198 a factor of 211464? True Is 135913 a multiple of 93? False Is 53126 a multiple of 4? False Is 140 a factor of 503440? True Is 62 a factor of 744124? True Does 242 divide 313702? False Does 22 divide 242994? False Is 28 a factor of 1090040? True Is 77 a factor of 1180872? True Is 6424276 a multiple of 122? True Does 514 divide 288639? False Is 37 a factor of 132154? False Is 138419 a multiple of 808? False Does 84 divide 134299? False Is 28 a factor of 378654? False Is 71864 a multiple of 52? True Is 3085000 a multiple of 56? False Does 9 divide 101744? False Does 677 divide 6990025? True Does 18 divide 11454352? False Does 328 divide 140481? False Is 208 a factor of 3092856? False Is 33666 a multiple of 181? True Does 105 divide 236237? False Is 7 a factor of 147623? True Is 1024212 a multiple of 274? True Does 81 divide 612279? True Does 6 divide 192? True Does 154 divide 11043648? True Does 529 divide 171925? True Does 95 divide 1022580? True Is 520 a multiple of 5? True Is 2552563 a multiple of 624? False Is 5 a factor of 10766? False Does 17 divide 2425663? False Is 318933 a multiple of 235? False Does 12 divide 1313589? False Is 48532 a multiple of 11? True Is 72 a factor of 28152? True Is 16 a factor of 350564? False Is 12 a factor of 2992724? False Does 776 divide 1468508? False Is 1681432 a multiple of 893? False Is 6 a factor of 58874? False Is 3193687 a multiple of 84? False Is 49 a factor of 1110287? False Is 328 a factor of 313405? False Does 23 divide 1769459? True Is 33544 a multiple of 9? False Does 7 divide 1698542? False Does 102 divide 1206558? True Is 99275 a multiple of 502? False Is 364 a factor of 23144? False Does 19 divide 2914106? True Is 868513 a multiple of 47? True Is 2336 a factor of 17802722? False Is 8 a factor of 583248? True Is 3691426 a multiple of 166? False Is 6 a factor of 19938? True Does 3 divide 10003? False Is 29 a factor of 4805102? False Is 14269 a multiple of 298? False Is 203820 a multiple of 5? True Is 52 a factor of 610764? False Is 564993 a multiple of 99? True Is 243 a factor of 174980? False Does 2 divide 131207? False Does 16 divide 624698? False Is 33 a factor of 1416963? False Does 55 divide 1878756? False Does 29 divide 5153125? False Is 392 a factor of 715400? True Is 39732 a multiple of 6? True Is 7935 a multiple of 33? False Does 33 divide 5516478? True Does 25 divide 45050? True Is 10 a factor of 177270? True Is 8568 a multiple of 68? True Is 35192436 a multiple of 17? False Does 27 divide 13393? False Is 263 a factor of 118613? True Is 123280 a multiple of 16? True Is 38 a factor of 14247? False Is 273 a factor of 4986664? False Does 165 divide 1833150? True Is 561 a factor of 9203766? True Does 69 divide 69977? False Is 4 a factor of 62380? True Is 7 a factor of 1167572? True Is 74829 even? False Does 180 divide 1682861? False Does 47 divide 1395101? True Is 1078544 a multiple of 526? False Is 43 a factor of 57730? False Does 18 divide 28962? True Does 31 divide 380864? False Is 690609 a multiple of 42? False Is 482688 a multiple of 18? True Is 2 a factor of 188715? False Does 50 divide 600600? True Is 5 a factor of 3686475? True Does 7 divide 56224? True Does 155 divide 825065? True Is 1283722 a multiple of 14? False Is 686208 a multiple of 128? True Is 590550 a multiple of 177? False Is 353 a factor of 98487? True Is 119 a factor of 6188? True Does 129 divide 69502? False Does 656 divide 6575088? True Is 70 a factor of 792452? False Does 366 divide 5742906? True Does 999 divide 19711269? True Is 27 a factor of 522510? False Is 703 a factor of 1850999? True Is 9 a factor of 1737900? True Is 846 a factor of 1474069? False Is 11363842 a multiple of 7? True Is 78 a factor of 525595? False Is 1950334 a multiple of 62? True Is 403199 a multiple of 48? False Does 188 divide 16985? False Does 305 divide 15250? True Is 48 a factor of 352224? True Does 15 divide 223125? True Does 6 divide 1086? True Is 215852 a multiple of 22? False Is 388 a factor of 1647448? True Is 1284470 a multiple of 11? True Does 6 divide 200562? True Is 173551 a multiple of 242? False Does 8 divide 4427748? False Does 7 divide 2133593? True Is 6004123 a multiple of 248? False Is 65 a factor of 2961140? True Does 16 divide 1978006? False Is 146177 a multiple of 163? False Is 59136 a multiple of 2? True Is 164252 a multiple of 22? True Does 16 divide 40736? True Is 102 a factor of 169729? False Is 1994472 a multiple of 6? True Is 1668314 a multiple of 11? False Is 482724 a multiple of 4? True Does 15 divide 845119? False Is 23418 a multiple of 3? True Does 173 divide 1016202? True Is 187924 a multiple of 22? True Does 22 divide 509850? True Does 580 divide 2488200? True Is 1041479 a multiple of 465? False Does 24 divide 311808? True Is 95514 a multiple of 82? False Is 2 a factor of 104311? False Does 194 divide 102140? False Is 8 a factor of 1107888? True Is 44 a factor of 300828? True Does 6 divide 1267683? False Is 481 a factor of 1193361? True Is 4487587 a multiple of 677? False Does 4 divide 11106? False Is 7380563 a multiple of 712? False Is 19 a factor of 29492? False Is 30 a factor of 3960570? True Does 20 divide 8438580? True Is 713 a factor of 5687139? False Is 969906 a multiple of 58? False Is 1117251 a multiple of 269? False Does 22 divide 9747155? False Is 108 a factor of 23666256? True Is 6512 a multiple of 44? True Is 4 a factor of 817478? False Is 258894 a multiple of 7? False Is 495124 a multiple of 25? False Is 12872 a multiple of 2? True Is 226 a factor of 229390? True Is 775 a factor of 420050? True Does 215 divide 72733? False Does 178 divide 2728372? False Is 36 a factor of 4349256? False Is 46 a factor of 421916? False Is 9 a factor of 12379104? True Is 9713015 a multiple of 23? True Does 4 divide 1650460? True Is 49 a factor of 21349? False Does 24 div
{ "pile_set_name": "DM Mathematics" }
reatest common divisor of 2864 and 16. 16 What is the highest common factor of 64 and 864? 32 Calculate the highest common factor of 77656 and 136. 136 Calculate the greatest common factor of 273 and 2496. 39 Calculate the highest common divisor of 35 and 385. 35 Calculate the greatest common factor of 28 and 12. 4 What is the highest common divisor of 3 and 68? 1 Calculate the greatest common divisor of 61 and 40382. 61 What is the greatest common factor of 144 and 512? 16 Calculate the highest common factor of 80 and 680. 40 Calculate the highest common divisor of 99 and 66. 33 What is the greatest common factor of 3 and 1461? 3 What is the greatest common divisor of 120 and 300? 60 Calculate the greatest common factor of 7 and 4. 1 Calculate the highest common divisor of 30 and 65. 5 Calculate the highest common divisor of 26720 and 10. 10 Calculate the highest common divisor of 885 and 1593. 177 What is the greatest common factor of 7 and 259? 7 What is the greatest common factor of 109 and 6976? 109 Calculate the highest common factor of 531 and 177. 177 Calculate the highest common divisor of 98 and 14. 14 What is the greatest common divisor of 3495 and 15? 15 Calculate the greatest common factor of 40 and 92. 4 What is the greatest common divisor of 9 and 1899? 9 What is the greatest common factor of 1003 and 177? 59 Calculate the highest common factor of 51 and 51. 51 What is the greatest common factor of 54 and 198? 18 What is the highest common divisor of 940 and 70? 10 What is the highest common divisor of 38 and 6194? 38 What is the highest common divisor of 370 and 1554? 74 Calculate the highest common divisor of 2678 and 309. 103 Calculate the highest common factor of 48 and 54. 6 What is the highest common divisor of 448 and 7? 7 Calculate the greatest common divisor of 10747 and 22. 11 Calculate the highest common factor of 216 and 198. 18 What is the greatest common divisor of 73 and 146? 73 Calculate the greatest common divisor of 70933 and 89. 89 Calculate the greatest common divisor of 208 and 2192. 16 Calculate the highest common divisor of 6482 and 14. 14 What is the greatest common factor of 15 and 54675? 15 What is the greatest common divisor of 180 and 145? 5 What is the greatest common divisor of 1 and 11? 1 What is the greatest common factor of 36995 and 490? 245 What is the greatest common divisor of 132 and 44? 44 Calculate the greatest common divisor of 2108 and 496. 124 Calculate the highest common factor of 230 and 76015. 115 Calculate the greatest common factor of 48 and 3152. 16 What is the highest common factor of 50 and 32? 2 Calculate the greatest common factor of 441 and 77. 7 What is the greatest common divisor of 350 and 28? 14 Calculate the greatest common factor of 66 and 1914. 66 Calculate the greatest common divisor of 26 and 234. 26 What is the greatest common divisor of 34 and 1921? 17 What is the greatest common factor of 33 and 24387? 33 Calculate the highest common divisor of 11 and 37. 1 What is the highest common divisor of 6 and 504? 6 Calculate the highest common divisor of 8 and 1328. 8 Calculate the highest common factor of 12851 and 362. 181 What is the greatest common divisor of 7282 and 88? 22 What is the highest common divisor of 848 and 53? 53 What is the highest common divisor of 1280 and 1408? 128 Calculate the highest common divisor of 78 and 208. 26 Calculate the highest common divisor of 11 and 1727. 11 What is the highest common factor of 69 and 2208? 69 What is the greatest common factor of 2546 and 268? 134 What is the highest common divisor of 670 and 20? 10 What is the greatest common factor of 211 and 211? 211 What is the highest common factor of 45 and 99? 9 Calculate the greatest common factor of 1139 and 17. 17 Calculate the greatest common factor of 8 and 32. 8 What is the greatest common divisor of 2548 and 468? 52 Calculate the greatest common factor of 4 and 3676. 4 Calculate the greatest common factor of 460 and 828. 92 What is the greatest common divisor of 840 and 45? 15 Calculate the greatest common divisor of 1922 and 248. 62 What is the highest common divisor of 1650 and 750? 150 Calculate the highest common divisor of 6 and 114. 6 What is the highest common factor of 1617 and 12? 3 Calculate the highest common factor of 4351 and 19. 19 Calculate the highest common divisor of 250 and 6625. 125 Calculate the greatest common factor of 110 and 230. 10 What is the highest common factor of 16 and 184? 8 What is the greatest common factor of 91 and 84? 7 Calculate the highest common factor of 51146 and 214. 214 Calculate the highest common factor of 116 and 841. 29 Calculate the highest common factor of 712 and 2047. 89 What is the highest common factor of 1 and 126? 1 Calculate the greatest common divisor of 7 and 119. 7 Calculate the greatest common factor of 11 and 517. 11 Calculate the highest common divisor of 228 and 15276. 228 What is the greatest common factor of 2820 and 40? 20 Calculate the greatest common divisor of 22 and 253. 11 Calculate the greatest common divisor of 111 and 37. 37 What is the greatest common divisor of 195 and 4065? 15 What is the highest common factor of 90 and 144? 18 Calculate the greatest common factor of 45 and 10. 5 Calculate the greatest common factor of 6298 and 47. 47 Calculate the highest common factor of 27 and 3879. 9 What is the highest common factor of 33 and 9? 3 Calculate the highest common divisor of 7 and 189. 7 What is the greatest common divisor of 2835 and 252? 63 Calculate the highest common factor of 23838 and 348. 174 What is the highest common divisor of 345 and 1955? 115 What is the greatest common divisor of 198 and 9306? 198 What is the highest common factor of 136 and 34? 34 What is the greatest common divisor of 240 and 96? 48 What is the greatest common factor of 10983 and 21? 21 What is the highest common divisor of 1036 and 37? 37 What is the highest common factor of 45 and 12405? 15 What is the highest common divisor of 1222 and 26? 26 What is the greatest common factor of 11679 and 51? 51 Calculate the highest common factor of 38 and 2679. 19 Calculate the greatest common divisor of 200 and 280. 40 What is the greatest common divisor of 26 and 208? 26 Calculate the greatest common factor of 42 and 11214. 42 What is the greatest common factor of 141 and 329? 47 What is the highest common divisor of 165 and 5? 5 Calculate the highest common divisor of 2890 and 85. 85 What is the highest common factor of 7 and 35? 7 What is the greatest common factor of 28 and 70? 14 What is the greatest common factor of 20 and 8? 4 Calculate the highest common factor of 3 and 123. 3 Calculate the highest common divisor of 343 and 245. 49 What is the greatest common divisor of 8 and 584? 8 What is the greatest common divisor of 783 and 2511? 27 What is the highest common divisor of 1955 and 23? 23 What is the highest common factor of 3 and 48? 3 Calculate the highest common divisor of 12626 and 642. 214 Calculate the greatest common divisor of 12937 and 34. 17 Calculate the greatest common factor of 60 and 12. 12 What is the highest common divisor of 104 and 442? 26 What is the highest common divisor of 189 and 42? 21 What is the highest common divisor of 1462 and 34? 34 Calculate the highest common divisor of 45 and 420. 15 What is the greatest common factor of 448 and 196? 28 Calculate the greatest common divisor of 33 and 121. 11 Calculate the highest common divisor of 42 and 336. 42 Calculate the highest common factor of 424 and 159. 53 Calculate the greatest common divisor of 16 and 1684. 4 What is the greatest common divisor of 26 and 19240? 26 Calculate the highest common divisor of 26684 and 28. 28 Calculate the highest common factor of 43 and 215. 43 What is the highest common divisor of 20 and 16? 4 Calculate the greatest common factor of 5 and 605. 5 What is the highest common factor of 2501 and 533? 41 Calculate the greatest common divisor of 7908 and 48. 12 What is the greatest common factor of 6 and 14? 2 Calculate the highest common divisor of 185 and 37. 37 Calculate the greatest common factor of 1152 and 3. 3 Calculate the greatest common factor of 6517 and 19. 19 What is the greatest common diviso
{ "pile_set_name": "DM Mathematics" }
for t. 1 Let g(a) = -a. Let q be g(-2). Suppose 25 = -5*s, 2*i + 5*s + 37 = i. Let f be (-2)/i + 33/18. Solve f*v - 2 = q for v. 2 Let i(y) = -y + 12. Let o be i(8). Suppose m + o = 5*m. Solve 2*w + m = w for w. -1 Let o(s) = 4*s + 45. Let p be o(-5). Solve 7*d = 2*d - p for d. -5 Let p = 72 - 68. Solve -x + p*x - 3 = 0 for x. 1 Let r(y) = -y**3 - 4*y**2. Let a be r(-4). Solve a = 5*b + 14 + 6 for b. -4 Let i = -9 - -11. Suppose l - i*v = 0, v - 3*v = 3*l - 40. Solve -3*o + l = -o for o. 5 Let q = -12 + 14. Suppose -r + 5*r = 12. Solve r - 1 = -q*u for u. -1 Let t be (-8 + 3)/((-1)/(-2)*-2). Solve -t*c + 15 = -0*c for c. 3 Let k(j) = 2*j**2 + j - 3. Let b be k(3). Suppose -2*s = -s - b. Suppose -6 = 4*c - 2, 4*f + 2*c - s = 0. Solve 10*z = f*z - 25 for z. -5 Suppose m - 9 = -2*m. Let r(y) = y**3 - 5*y**2. Let v be r(m). Let w be (-4)/v - 4/18. Solve 4*o - 5*o + 4 = w for o. 4 Let i = 6 + -1. Suppose 0 = -3*l - c + i, -2*c = l + 2*c + 13. Solve -1 + 4 = l*d for d. 1 Suppose 8*d + 3*k - 16 = 3*d, -4*d = k - 17. Let r(t) = -5*t**2 + 0*t**2 + 0*t**2 - 3 + t**3 + t. Let w be r(d). Solve 0 = w*v + 1 - 5 for v. 2 Let y be (-5)/(-2)*8/10. Let p(r) = -5 - r**2 - 2*r**2 + 9*r + 2*r**2. Let f be p(8). Solve y*t + 15 = -f*t for t. -3 Let m be ((-5)/(-2))/(5/20). Suppose -4*i + m = i. Suppose 0*d - 2*q = -2*d + 50, -i*d = -q - 49. Solve 5*o + d = -1 for o. -5 Suppose -q - 2*q = 0. Let c be 0 + 3 + (q - 1). Suppose -u - 3 = 3*r, -r + 3 = 8. Solve -5*o - u = -c*o for o. -4 Suppose 0*x = -5*n + 2*x - 2, 3*x - 3 = -5*n. Suppose -2*f + 3*h = -7*f - 15, 3*f - 10 = 2*h. Solve n = -w - f*w for w. 0 Suppose -o - 3*d + 8 = -3*o, -o = -d + 4. Let r be 2/o*1*0. Let z(y) = y**3 + 3*y**2 - 2*y - 1. Let q be z(-3). Solve q*w + 10 + 0 = r for w. -2 Let t = -24 + 70. Suppose -4*i = -3*j - t, i = 2*j - 0*j + 9. Suppose 0 = -4*z + i + 3. Solve z = -v - v for v. -2 Let j(k) = k - 4. Let v be j(6). Suppose -v - 2 = -4*p. Solve 0 = -5*s - p - 14 for s. -3 Suppose o - 2 = -z, -3*o + 17 = 4*z - 2*o. Solve -z*p = -6*p for p. 0 Let g = -3 + 6. Let y = -1 + g. Suppose -y*p - 20 = -4*q, -4*q + 20 = 2*p - 0. Solve 3*u - 6 = -p for u. 2 Let h(t) = t**2 + 1. Let u be h(-2). Let j(n) = n**2 - 10*n - 2. Let r be j(11). Suppose -4*c + 47 + 17 = 0. Solve u*v - r = c for v. 5 Let u = 347 + -177. Suppose -u = -3*v + 8*v. Let y = -24 - v. Solve -y = -2*o - 4 for o. 3 Suppose -q = 5*w + 11 + 7, 3*q = -2*w - 2. Solve 4 + 6 = -q*o for o. -5 Let v(c) = -c**2 + 3*c + 3. Let i be v(3). Let h be -14*-1*i/6. Let d be h - 1*(-4 + 2). Solve 3*r + 21 = d for r. -4 Let g = 30 - 23. Suppose 2*c + 130 = g*c. Solve -5*h + 6 = c for h. -4 Suppose 2*s + 9 = w + 4*w, 4*w - 20 = 0. Solve 3*o - s = o for o. 4 Let y = -6 + 7. Solve -f = y - 0 for f. -1 Let p = 13 + -13. Solve -3*b - 9 - 3 = p for b. -4 Let v = 2 + -1. Suppose v = z + 2*c - 8, -4*z + 5*c - 3 = 0. Solve p + 2 = -z for p. -5 Let p = -31 + 33. Solve -p*r - 6 = r for r. -2 Let u be ((-60)/(-21) - 3)/(2/(-14)). Solve 4*g - u = -9 for g. -2 Suppose 9 = 2*l + 1. Suppose 4*x - 16 = q, 4*q = x - 0*x - l. Solve -3 = x*v - v for v. -1 Let k(v) = -v**2 - 1. Let f be k(2). Let q = 2 + f. Let d = 6 + q. Solve 0*r - d*r = 0 for r. 0 Let h(l) = -l**2 - 5*l - 2. Let v be h(-3). Let x(c) = -c**2 - 3*c + 4. Let g be x(-3). Suppose -u - 4*o - g = -0*o, -2*o = 2*u + 2. Solve -i + v = -u for i. 4 Let q(x) = -x**2 - 4*x + 5. Let k be q(-4). Suppose -k*m - 2*d + 10 = 2, 3*d = -3. Solve 8 + m = -2*u for u. -5 Suppose -b = -5*b + 12. Let o = 2 + b. Suppose -o*t = 26 - 101. Solve -2*z + t = z for z. 5 Let l = 47 + -40. Solve -3*b - l = -1 for b. -2 Let b = 8 + -4. Suppose 4*p + 23 = 5*l, l - 5*l - 5*p = -2. Suppose l*o - 17 = -q - 1, -3*o - b*q = -19. Solve 0*n = o*n - 20 for n. 4 Suppose 2*k = -2*v - 0*k - 2, 3*k + 6 = 0. Suppose 5*n + 2 = -c, -v = 5*n - c - 3. Suppose 0*m + 5*m = n. Solve m*q = 2*q + 4 for q. -2 Let m be (-16)/9 + 2 - (-258)/54. Solve -m = i - 4 for i. -1 Suppose 4*r = 30 + 2. Let j(b) = 15*b**3 - b. Let i be j(-1). Let o be 308/26 + i/(-91). Solve 5*v + r + o = 0 for v. -4 Let l = 10 - 7. Suppose -4*g = 4, -3 = -7*d + 6*d + g. Solve -i + l*i = -d for i. -1 Suppose -5*p + 2*j = 3*j, p = -4*j. Suppose -55 = -p*d - 4*d - 3*n, -4*n = 2*d - 20. Suppose 2*q + d = 6*q. Solve -g = g - q for g. 2 Let x = 28 - 8. Let k be (-3 + 4)*(-3 + 5). Suppose k*v = -3*v + x. Solve 0*a + v*a + 16 = 0 for a. -4 Let f(w) = -2*w**3 - 3*w**2 - w - 1. Let c be (-2 - (0 - 1)) + -1. Let u be f(c). Suppose u*s = -2 + 7. Solve -a + s = 4 for a. -3 Suppose 4*f = 3*f. Let g be 5 - (8/(-2) - (5 - 6)). Solve f = 3*m - m + g for m. -4 Let b(r) = -3*r - 2. Let m(d) = -4*d - 1. Let q(t) = 3*b(t) - 2*m(t). Suppose -3 = 3*k, -2*k + 26 = -4*c + 4. Let x be q(c). Solve -6*p + x*p + 16 = 0 for p. 4 Suppose 4*s - 16 = 0, 0 = -z + 5*z - 5*s. Suppose -z*o = -o - 20. Solve -o*d + 10 = -3*d for d. 5 Let y be (9/(-15))/(2/(-30)). Solve -2*i = -5*i - y for i. -3 Let r be (-66)/24*(2 - 6). Solve r*l + 12 = 8*l for l. -4 Let g be (4/(-8))/(2/(-16)). Suppose q + q - g = 0. Solve 0 = -2*d - 6 + q for d. -2 Suppose 0 = -6*z - 0 + 6. Let h be (1 + 3)*z - 2. Solve 5*n + 3 = h*n for n. -1 Let u = 16 + -8. Solve 5*t - u = 7 for t. 3 Suppose -u - 3*a = -2, u - 6*u = -5*a - 10. Suppose 2*c = p, -u*p + 2*c = 1 + 3. Let t be (18/12)/((-2)/p). Solve 4*f - t = f for f. 1 Let a = 0 + -2. Let p = 2 - a. Solve -6*f + 6 = -p*f for f. 3 Suppose 2*x = x + 3. Solve -i = -x*i + 2 for i. 1 Suppose 4*o + 3*u = 5*o - 13, -2*u - 22 = -4*o. Solve -3*x + 2 = -o for x. 2 Let t be (3 - 0) + -1 + -1. Solve 5*j = -6 + t for j. -1 Let t = 35 + -32. Let i = -3 + 4. Suppose -2*y = -y - i. Solve y + 5 = -t*j for j. -2 Let s = -7 - -4. Let t(i) = i**3 + 4*i**2 + i + 1. Let d be t(s). Suppose v + 4 = d. Solve -v*h = -2 + 11 for h. -3 Let u(b) = 4*b + 37. Let i be u(-9). Solve -3 = -2*v - i for v. 1 Suppose -2*w + 3*w - 3*w = 0. Solve -b - 4 + w = 0 for b. -4 Suppose -y - 11 = -2*y - u, 3*u - 21 = -2*y. Suppose 3*a - 7*r + 2 = -3*r, 2*a + 4*r = y. Solve 3*b + 10 = -a*b for b. -2 Let s = -10 + 27. Suppose -m + s = 2. Solve y + m = -2*y for y. -5 Let j(x) = x**3 - 3*x**2 - 4*x. Let a be j(4). Suppose a = 5*h - 3*d - 36, 0*h + 2*h = -d + 10. Let p be 15/h - 1/(-2). Solve -p*b - 4 = 8 for b. -4 Let u be -1*0/(-2 + 0). Let i be u/((1*4)/(-2)). Let y = -52 + 54. Solve i = y*w + w for w. 0 Suppose -f + 4 = 1, 4*r - f - 9 = 0. Suppose -m + r = 1. Let b be 42/7 - m*1. Solve 0 = -9*w + b*w for w. 0 Let m = -1 - -4. Solve 0 = -m*g + g - 10 for g. -5 Let r = -9 + 17. Let a be 3/(-12) - (-18)/r. Solve a*g = -g + 15 for g. 5 Suppose -10 = -5*o - 5*z, o - z = -o + 1. Suppose -3*u - o = -2*s + 2*u, -4*s = -3*u - 23. Let v be (-4)/(16/(-6)) + 3/6. Solve -3*x - s + v = 0 for x. -2 Let z be -4*(3 - 35/10). Solve -z*m + 6 = 2 for m. 2 Let s(m) = 3*m**2 - 12*m + 11. Let q be s(3). Solve -4 = -q*o + 4 for o. 4 Suppose 0 = 4*r + r - 10. Solve 0 = -r*q - q - 12 for q. -4 Suppose -8 = 4*t + 4, 5 = x + t. Suppose 2*j + 3*g + 8 - 20 = 0, 3*j = -2*g + x. Suppose -r + 0*r = -3. Solve k + r - 2 = j for k. -1 Let i = 0 + 5. Suppose -3*g + i*g = 0. Let n be -40*(1/(-2) + g). Solve -4*o = n - 0 for o. -5 Let x(h) be the third derivative of -h**5/60 - 5*h**4/24 - 3*h**2. Let r be x(-5). Solve 4*k + 0*k - 12 = r for k. 3 Suppose -5*q = -2*r + 28, r + q = -2 + 9. Let s = -6 + r. Solve 4*g + 9 + s = 0 for g. -3 Suppose 41 - 11 = 5*x. Let r = x - 6. Solve r = 3*f - 15 for f. 5 Let q = -89 + 187. Suppose y = 52 + q. Let h be (4/6)/(4/y). Solve w = -4*w - h for w. -5 Suppose -6*j + 40 = 4*y - 2*j, -4*y - j + 25 = 0. Solve 0 = -h + y for h. 5 Let w be (3 - 1)*(5 + 3). Solve -w = 3*a - 7*a for a. 4 Let f be (6 + -4 - -4) + -3. Suppose -3*s + 7 - 1 = 0. Solve -s*i = -f*i for i. 0 Suppose 4*x = 5*x - 1. Solve 4*a = x + 3 for a. 1 Let o be 7*1*(15/(-21) - -1). Solve -3 = -o*y - 1 for y. 1 Let w(d) = d**2 - 4*d - 16. Let s be w(7). Solve 1 - 21 = s*a for a. -4 Let m be 6/(-14)*(-3 - 4). Solve 0*f = -m*f + 12 for f. 4 Suppose -2*v = -3*j + 21, 2*j = -4*v + v - 51. Let z = -9 - v. Solve -h = -z*h - 20 for h. -4 Let c = -44 + 49. Suppose -2*n + 7 = 2*q + 1, 3*n = -2*q + 6. Solve -c*d + 13 + 2 = n for d. 3 Suppose 0 = 5*k - 8 - 7. Let v be 3 - (-1 - (2 - k)). Solve v*w = w for w. 0 Suppo
{ "pile_set_name": "DM Mathematics" }
Calculate p(w(f)). 1001*f**2 Let x(q) be the third derivative of 7/60*q**5 + 0*q**3 + 0 + 0*q + 0*q**4 - q**2. Let j(k) be the second derivative of -k**4/6 + 1100*k. Calculate x(j(p)). 28*p**4 Let d(l) = l**2. Let p(j) = j**2 - 18*j + 7. Let t be p(22). Let n(s) = 99*s + t*s - 190*s. What is n(d(y))? 4*y**2 Let h(r) = -29*r. Let a(d) = 874*d**2. What is a(h(x))? 735034*x**2 Let j(a) = -5*a**2. Let f be (-1)/(-5) + (-45)/(-25). Let h(o) = -4*o**2 + 4*o**f - 4*o**2. Calculate j(h(x)). -80*x**4 Let k(x) = -x**2 - 1108. Let z(d) = -4*d. Determine z(k(u)). 4*u**2 + 4432 Let d(q) = 15788*q. Let z(y) = 3*y**2. Determine d(z(m)). 47364*m**2 Let s(r) be the third derivative of -5*r**4/24 + 75*r**2. Let k(h) = 21*h. Calculate k(s(x)). -105*x Suppose 0 = 2*l, 2*l + 9 = 3*a - l. Let k(d) = -10*d**2 + 10*d + 10. Let w(x) = x + 1. Let n(f) = a*k(f) - 30*w(f). Let h(s) = 2*s. Determine n(h(p)). -120*p**2 Let i(j) = 3 - 112*j - 3 + 110*j. Let y(g) = -14*g**2 + 3. Let a(h) = -27*h**2 + 5. Let v(p) = -3*a(p) + 5*y(p). What is i(v(s))? -22*s**2 Let z(g) = -7*g**2 - 12*g. Let n(h) = 23*h - 6. Calculate n(z(s)). -161*s**2 - 276*s - 6 Let j(k) = -24*k**2. Let u(s) = -169*s**2 + 8 + 189*s**2 - 8. Calculate u(j(y)). 11520*y**4 Let p(g) = -2*g + 1. Let t(d) = -96*d + 64. Let o(u) = -192*p(u) + 3*t(u). Let j(n) = -2*n**2. Calculate o(j(q)). -192*q**2 Let p(n) = -341*n. Let v(r) = -27278*r. Let q(c) = 483*p(c) - 6*v(c). Let x(s) = -s**2. Calculate q(x(u)). 1035*u**2 Let x(k) be the first derivative of 0*k + 0*k**2 + 14 + 1/3*k**3. Let w(f) = 25*f. Give w(x(z)). 25*z**2 Let g(s) = 2*s. Let c(w) = 12*w - 46. What is c(g(u))? 24*u - 46 Let i(a) = -a**2. Let j(u) = -17*u**2 - 5*u. Suppose 15 - 60 = -9*q. Let t(l) = -8*l**2 - 3*l. Let r(c) = q*t(c) - 3*j(c). Give i(r(v)). -121*v**4 Let f(j) = j. Let a(h) be the third derivative of -h**5/15 + 267*h**2 - 2*h. Give f(a(p)). -4*p**2 Let v(q) = 661*q**2. Let z(b) = -49*b - 2. Calculate v(z(n)). 1587061*n**2 + 129556*n + 2644 Let w(h) = -h**2. Let v(y) = 630365*y. Determine w(v(p)). -397360033225*p**2 Let g(t) = -t. Let a(b) be the second derivative of 0 + 0*b**2 + 0*b**3 - 13/12*b**4 + 21*b. What is g(a(w))? 13*w**2 Let a(n) = -119*n. Let u(w) = -2*w - 23 - 12 + 35. Calculate a(u(r)). 238*r Let j(c) = -21*c**2 - 25*c**2 + 57*c**2 - 13*c**2. Let u(b) = b**2 + 8*b**2 + 6*b**2. What is j(u(g))? -450*g**4 Let s(q) be the second derivative of -2*q**4/3 - 13*q - 1. Let l(x) = 5*x + 4*x + 3*x - 5*x. What is s(l(u))? -392*u**2 Let s(n) = -3*n - 8*n**2 - 3 + 6*n**2 + 0*n**2. Let p(d) = -d**2 - d - 1. Let v(i) = -3*p(i) + s(i). Let u(r) = -12*r. What is v(u(q))? 144*q**2 Suppose -2*r + s = -2*s + 7, -5 = 3*r + s. Let n be 0*(-1 + r + 4). Let y(l) = l**2 - 3*l**2 + n*l**2. Let f(q) = 7*q**2. What is y(f(m))? -98*m**4 Let s(w) = -w + 5479 - 5479. Let j(f) = -2*f**2 - 8*f. Give s(j(y)). 2*y**2 + 8*y Let o(w) = 341716*w**2. Let p(u) = -2*u**2. What is o(p(v))? 1366864*v**4 Let f(o) = 157*o**2 + 15*o - 10. Let l(n) = -15228*n**2 - 1458*n + 972. Let w(h) = -486*f(h) - 5*l(h). Let d(b) = -4*b**2. What is w(d(x))? -2592*x**4 Let h(o) = -4*o**2 - 30. Let f(b) = -78*b. Give h(f(u)). -24336*u**2 - 30 Let a(y) = -13*y**2 - 19*y**2 + 25*y**2. Let g(i) = -22*i. Give a(g(c)). -3388*c**2 Let l(u) = u**2 + 3*u - 999. Let z(x) = -4*x**2. Give l(z(b)). 16*b**4 - 12*b**2 - 999 Let i(d) = -d**2. Let u(s) = -3970*s - 1. What is i(u(l))? -15760900*l**2 - 7940*l - 1 Let m(p) = 21*p**2 + 542. Let z(g) = -g**2. What is m(z(k))? 21*k**4 + 542 Let s(c) be the third derivative of -c**6/360 - 29*c**5/120 - 5*c**4/4 - 32*c**2. Let v(p) be the second derivative of s(p). Let m(f) = f. Give v(m(k)). -2*k - 29 Let x(m) = -5*m**2. Let v(u) = 10*u. Let w(b) = -4*b - 1. Let q be w(-1). Let s(d) = 3*d + q*d + d. Let p(n) = 7*s(n) - 5*v(n). Give x(p(g)). -5*g**2 Let a(f) be the second derivative of -51*f**5/20 + 53*f**2/2 - 21*f + 2. Let y(k) be the first derivative of a(k). Let n(o) = o. Give n(y(m)). -153*m**2 Let q(c) = 15*c**2 + 11*c + 11. Let o(x) = 4*x**2 + 3*x + 3. Let u = -7 + -15. Let p(g) = u*o(g) + 6*q(g). Let w(t) = -18*t. Give w(p(m)). -36*m**2 Let u(s) = -1. Let w(r) = -r**2 + 1. Let j = 4 - 15. Let b be (j/(-77))/(2/14). Let g(f) = b*w(f) + u(f). Let a(x) = -2*x. Determine a(g(h)). 2*h**2 Let g(o) = -4*o. Let j = 3 - 1. Let u = 208 + -205. Let q(k) = 2 - 4*k**j + u*k**2 - 2. Calculate q(g(l)). -16*l**2 Let m(v) = -9*v - 24. Let p(g) = 99*g + 270. Let h(d) = 45*m(d) + 4*p(d). Let x(j) = -2*j + 0*j - j. Determine h(x(w)). 27*w Let l(v) be the first derivative of -2*v**2 - 1. Let a(z) be the third derivative of 0*z + 1/8*z**4 + 0 + 3*z**2 + 0*z**3. Give a(l(i)). -12*i Let v(g) = -g. Suppose 4*i - 8 = -2*m, 4*i = 19*m - 14*m + 36. Let l(f) be the second derivative of 1/2*f**3 - i*f + 0*f**2 + 0. Determine v(l(n)). -3*n Let q(p) = p**2 - p + 3. Let u be q(0). Let w(a) = -829 + 829 - u*a**2. Let v(o) be the third derivative of o**5/60 - o**2. What is w(v(i))? -3*i**4 Let g(v) = -v**3 + 11*v**2 - 19*v + 13. Let y(p) = -3*p - 21. Let l be y(-10). Let i be g(l). Let z(b) = 29 - 29 - i*b. Let q(j) = -8*j**2. Calculate z(q(r)). 32*r**2 Let l(r) = 1393764*r**2. Let i(v) = -v. Determine i(l(m)). -1393764*m**2 Let j(z) = 15*z**2 + z - z. Let g(s) = -85*s - 6. Let x(c) = -225*c - 16. Let t(m) = -8*g(m) + 3*x(m). Determine t(j(d)). 75*d**2 Let s(p) = -5*p**2 - 5*p. Let k(m) = -m. Suppose 2*x - 48 = -4*x. Suppose 0 = -8*a + x. Let c(v) = a*s(v) - 5*k(v). Let i(l) = 3*l**2. What is c(i(w))? -45*w**4 Suppose -4*f - 116 = -3*j, 2*j - 5*f = j + 35. Let n(o) = -40*o - j*o + 81*o. Let r(m) = 0*m - 2*m - m. Give r(n(s)). -3*s Let d(j) = 2*j. Let l(m) be the second derivative of -481*m**4/12 + 70*m - 1. What is l(d(p))? -1924*p**2 Let w(h) = -18725*h**2. Let g(v) = -2*v + 22. What is g(w(i))? 37450*i**2 + 22 Let y(r) be the first derivative of 0*r**2 + 2/3*r**3 + 1 + 0*r. Let p(m) = -8*m + 20*m - m + 3*m. Determine y(p(f)). 392*f**2 Let w(y) be the second derivative of -y**4/6 + y**3/3 + 3*y. Let d(u) = -u**2 - u. Let p(q) = 2*d(q) + w(q). Let m(a) = -10*a. Calculate m(p(v)). 40*v**2 Let p(f) = -140*f. Let u(m) = 252*m**2. Give u(p(x)). 4939200*x**2 Let g(s) = -1. Let c(x) = -4*x + 5. Let f(l) = c(l) + 5*g(l). Let u(j) be the second derivative of 0*j**3 - 2*j - 1/12*j**4 + 0 + 0*j**2. Determine u(f(v)). -16*v**2 Let j(n) be the third derivative of n**5/10 - n**4/6 - 176*n**2. Let q(x) = x**2. Determine q(j(b)). 36*b**4 - 48*b**3 + 16*b**2 Let z(w) = -2*w. Let s(r) = 273886*r - 3. Determine s(z(p)). -547772*p - 3 Let b(u) = 6*u**2. Let n = -32 + 48. Let l(y) = n*y + 18*y - 38*y. Give l(b(t)). -24*t**2 Suppose -12 = -2*b - 2*j - 2*j, 0 = -5*j. Let o be (-4)/3*15/(-10). Let n(m) = 6*m + 2*m + b*m - o*m. Let t(l) = l. Calculate n(t(r)). 12*r Let w(b) = b. Let v(t) be the third derivative of -t**6/144 + 7*t**4/12 - 14*t**2. Let x(h) be the second derivative of v(h). Calculate w(x(q)). -5*q Let l(i) = 57*i - 2. Let g(u) = 56*u - 2. Let a(b) = 5*g(b) - 4*l(b). Let t(p) = 2*p. Calculate t(a(x)). 104*x - 4 Let m(o) = -765*o**2 + 272*o - 136. Let r(c) = -17*c**2 + 6*c - 3. Let j(y) = -3*m(y) + 136*r(y). Let d(k) = -13*k. Determine j(d(g)). -2873*g**2 Let t(k) = -k**2. Let a(g) = 3*g**2. Let y(r) = 6*a(r) + 15*t(r). Let c(p) be the first derivative of 0*p**2 - 4 + 0*p - 1/3*p**3. What is y(c(n))? 3*n**4 Suppose 0 = -5*z + 3 + 27. Let b(g) = -3*g**2 - 5*g. Let h(p) = -2*p**2 - 3*p. Let m(v) = z*b(v) - 10*h(v). Let j(c) = 3*c**2. What is j(m(s))? 12*s**4 Let s(p) = 2*p. Let c(o) = o**2 - 473*o + 3. Give c(s(q)). 4*q**2 - 946*q + 3 Let v(u) = 15*u + 33. Let r(q) = q + 2. Let n(w) = -33*r(w) + 2*v(w). Let f(x) = -32*x**2. What is n(f(g))? 96*g**2 Let a(f) be the first derivative of 4*f**2 - 51 - 1 - 3*f**2 + f**2. Let j(p) = 27*p. Determine a(j(d)). 108*d Let t(n) = -7*n**2. Let a(x) be the third derivative of -x**8/20160 + 11*x**5/60 - 36*x**2. Let k(f) be the third derivative of a(f). Determine t(k(q)). -7*q**4 Let l(t) = 12*t**2 + 7*t - 7. Let g(m) = 6*m**2 + 4*m - 4. Let p(z) = -7*g(z) + 4*l(z). Let w(a) = 5 + 40*a - 5 - 41*a. Give w(p(h)). -6*h**2 Let h(p) = -4*p**2 - 20*p + 46. Let n(v) = -v. What is n(h(k))? 4*k**2 + 20*k - 46 Let c(p) be the second derivative of -p**4/2 - 36*p. Let n(b) =
{ "pile_set_name": "DM Mathematics" }
12500 What is 45.79868mm in meters? 0.04579868 What is four thirds of a week in hours? 224 What is one fifth of a centimeter in micrometers? 2000 Convert 1.918072mm to centimeters. 0.1918072 Convert 36405.97 tonnes to grams. 36405970000 How many centimeters are there in 49/5 of a meter? 980 Convert 0.5265762 milligrams to kilograms. 0.0000005265762 What is 3/32 of a millimeter in nanometers? 93750 How many months are there in three fifths of a century? 720 How many centimeters are there in 23561.94 micrometers? 2.356194 How many meters are there in fifty-one fifths of a kilometer? 10200 How many micrograms are there in twenty-one fifths of a milligram? 4200 Convert 939.7023g to kilograms. 0.9397023 How many decades are there in 2863679.4 months? 23863.995 What is 559.7295 years in centuries? 5.597295 What is twenty-six fifths of a micrometer in nanometers? 5200 How many milligrams are there in fourty-eight fifths of a gram? 9600 Convert 4.546861 grams to nanograms. 4546861000 How many centuries are there in three tenths of a millennium? 3 Convert 140594000.4s to weeks. 232.463625 What is one fifth of a century in months? 240 Convert 0.9199999mm to micrometers. 919.9999 What is 21/5 of a second in milliseconds? 4200 What is 21/2 of a millennium in decades? 1050 What is 267.6854 millilitres in litres? 0.2676854 Convert 77.575752ms to hours. 0.00002154882 What is 19/4 of a week in minutes? 47880 Convert 128.9387862 nanoseconds to weeks. 0.0000000000002131924375 What is 917986.8 centimeters in millimeters? 9179868 Convert 0.5551335ug to nanograms. 555.1335 What is 837.8215ng in kilograms? 0.0000000008378215 What is 0.3499583 tonnes in grams? 349958.3 How many nanometers are there in 3/25 of a micrometer? 120 What is 1/4 of a millennium in years? 250 How many decades are there in 17807.09 years? 1780.709 What is 3.584512 minutes in microseconds? 215070720 How many micrometers are there in thirty-two fifths of a millimeter? 6400 How many hours are there in eight thirds of a day? 64 What is 1724.109mm in micrometers? 1724109 Convert 475372.6 millilitres to litres. 475.3726 How many centimeters are there in 3704.862mm? 370.4862 What is thirteen eighths of a litre in millilitres? 1625 How many millimeters are there in fourty-five eighths of a meter? 5625 What is 0.1156 years in millennia? 0.0001156 What is 34.39972m in kilometers? 0.03439972 How many minutes are there in sixteen ninths of a week? 17920 How many litres are there in 86717.6ml? 86.7176 How many seconds are there in three eighths of a hour? 1350 What is seven sixths of a hour in minutes? 70 How many centuries are there in 314.0107 years? 3.140107 What is eleven halves of a litre in millilitres? 5500 Convert 26.60458 micrograms to grams. 0.00002660458 How many milligrams are there in 33108.6 kilograms? 33108600000 What is 1/4 of a year in months? 3 What is twenty-three thirds of a year in months? 92 What is 20.90791 grams in micrograms? 20907910 What is 97.03997l in millilitres? 97039.97 Convert 34.601 days to microseconds. 2989526400000 Convert 2290.419ug to milligrams. 2.290419 What is twenty-one fifths of a gram in milligrams? 4200 How many days are there in 187.591761 nanoseconds? 0.0000000000021712009375 How many seconds are there in 2/27 of a week? 44800 How many seconds are there in 29/5 of a minute? 348 What is 5/8 of a gram in milligrams? 625 What is 0.1574028 centuries in years? 15.74028 What is 88/5 of a litre in millilitres? 17600 What is 5568.406m in micrometers? 5568406000 What is 3/40 of a centimeter in micrometers? 750 What is 7.792534 litres in millilitres? 7792.534 How many days are there in 7266.1428 nanoseconds? 0.000000000084098875 Convert 75.21811 centimeters to millimeters. 752.1811 What is fifteen quarters of a litre in millilitres? 3750 What is twenty-one fifths of a kilogram in grams? 4200 What is 7.81121 centuries in millennia? 0.781121 How many micrometers are there in 14.21535 centimeters? 142153.5 How many nanometers are there in 53/4 of a micrometer? 13250 What is 6/25 of a meter in millimeters? 240 Convert 0.1048115 days to milliseconds. 9055713.6 What is 39184.01 litres in millilitres? 39184010 How many nanograms are there in one twentieth of a microgram? 50 How many nanograms are there in three eighths of a microgram? 375 How many millimeters are there in 0.5639703km? 563970.3 How many kilograms are there in fifty-seven fifths of a tonne? 11400 How many nanograms are there in one quarter of a microgram? 250 How many millilitres are there in thirty-seven fifths of a litre? 7400 What is 13/4 of a millimeter in micrometers? 3250 How many millilitres are there in 8/25 of a litre? 320 Convert 33252.3ng to micrograms. 33.2523 Convert 87938.95t to kilograms. 87938950 How many minutes are there in 110.89215us? 0.0000018482025 Convert 29995.07 milliseconds to nanoseconds. 29995070000 What is 3/5 of a micrometer in nanometers? 600 Convert 1962.5718 hours to days. 81.773825 What is 0.186707 hours in minutes? 11.20242 What is 3/5 of a minute in milliseconds? 36000 What is 5862.304 grams in tonnes? 0.005862304 How many nanometers are there in fifty-one quarters of a micrometer? 12750 What is 6/5 of a centimeter in micrometers? 12000 Convert 5858658.9ms to hours. 1.62740525 Convert 728.0749 centuries to months. 873689.88 Convert 0.829213km to nanometers. 829213000000 What is 15/4 of a week in hours? 630 What is 11/2 of a day in hours? 132 What is 5/8 of a gram in milligrams? 625 What is 4.876966 kilometers in meters? 4876.966 How many nanograms are there in 76.40857 grams? 76408570000 What is 74.34725 litres in millilitres? 74347.25 How many years are there in twenty-one halves of a millennium? 10500 Convert 30791.05 days to minutes. 44339112 How many micrograms are there in fifty-one quarters of a milligram? 12750 What is 28/3 of a century in months? 11200 What is 9/10 of a minute in seconds? 54 What is 1/5 of a century in decades? 2 What is 1/30 of a hour in seconds? 120 Convert 1.753673 micrometers to millimeters. 0.001753673 How many hours are there in 90/7 of a week? 2160 How many millimeters are there in 5/4 of a meter? 1250 How many minutes are there in 74156.37ms? 1.2359395 Convert 53.8677 centuries to months. 64641.24 How many meters are there in eleven quarters of a kilometer? 2750 How many months are there in 81578.21 centuries? 97893852 How many years are there in 337.9192 centuries? 33791.92 How many nanograms are there in 441.8882g? 441888200000 Convert 13.2736t to kilograms. 13273.6 What is sixty-one thirds of a decade in months? 2440 What is eleven eighths of a centimeter in micrometers? 13750 What is 79.36874 centuries in months? 95242.488 Convert 0.407933 millilitres to litres. 0.000407933 How many months are there in 2873.068 centuries? 3447681.6 What is 0.607983 litres in millilitres? 607.983 How many weeks are there in 17520369.93 nanoseconds? 0.000000028968865625 How many grams are there in 21/2 of a kilogram? 10500 What is 29/2 of a litre in millilitres? 14500 What is 11/4 of a litre in millilitres? 2750 How many tonnes are there in 794.3394 kilograms? 0.7943394 How many millilitres are there in 782.6863 litres? 782686.3 What is 1/4 of a litre in millilitres? 250 How many centuries are there in 39.84407 years? 0.3984407 How many months are there in 19/4 of a year? 57 What is 1/5 of a meter in centimeters? 20 Convert 701205.4 micrograms to grams. 0.7012054 How many nanometers are there in seventeen halves of a micrometer? 8500 What is 28.71557nm in meters? 0.00000002871557 What is 174.59 decades in millennia? 1.7459 How many years are there in 63.40948 decades? 634.0948 What is eleven halves of a litre in millilitres? 5500 What is 6/25 of a meter in millimeters? 240 Convert 857556.4 meters to nanometers. 857556400000000 What is 12/25 of a meter in centimeters? 48 What is fourty-two fifths of a micrometer in nanometers? 8400 How many hours are there in 8/7 of a week? 192 How many years are there in seven eighths of a millennium? 875 What is 60.09396m in kilometers? 0.06009396 How many millilitres are there in fourty-two fifths of a litre? 8400 How many millilitres are there in eleven quarters of a litre? 2750 Convert 0.5081566 nanometers to kilo
{ "pile_set_name": "DM Mathematics" }
er. 7961, 0, -4, -6 Put -72992, 0, 4 in ascending order. -72992, 0, 4 Sort 3, 275, -3, 21. -3, 3, 21, 275 Sort -4, -1/11, -46349. -46349, -4, -1/11 Put 1/5, -1/5, 0.3, 0.1, 5 in decreasing order. 5, 0.3, 1/5, 0.1, -1/5 Sort 28, -4, 79. -4, 28, 79 Sort 0, 220, -20. -20, 0, 220 Put 2, -1.2, -12053 in increasing order. -12053, -1.2, 2 Put -2/5, 1.2, -11, -86, 1/5 in increasing order. -86, -11, -2/5, 1/5, 1.2 Put -5, 2, 14, -2, -3 in descending order. 14, 2, -2, -3, -5 Put -126, -2, 102 in descending order. 102, -2, -126 Put -8, 3/8, 47904/17 in ascending order. -8, 3/8, 47904/17 Sort -22, 118, -18, 2 in descending order. 118, 2, -18, -22 Sort 1, 7, -761, 0 in decreasing order. 7, 1, 0, -761 Sort -17, -1, -1/5, 0, 0.5. -17, -1, -1/5, 0, 0.5 Put -8, 5, -0.5, -826, 3, 4/7 in descending order. 5, 3, 4/7, -0.5, -8, -826 Sort -26, -1, 0.2, 0.1, -1/2, -102 in decreasing order. 0.2, 0.1, -1/2, -1, -26, -102 Sort -10, -4, -19, 4, -3 in increasing order. -19, -10, -4, -3, 4 Sort 22, 2, 311 in increasing order. 2, 22, 311 Put -3010, -20, 2 in increasing order. -3010, -20, 2 Sort -14, 8, 3, -1889, 2. -1889, -14, 2, 3, 8 Sort -5, -1/717, 6/7 in decreasing order. 6/7, -1/717, -5 Put 4, 1, -5, 32, 0, 3 in increasing order. -5, 0, 1, 3, 4, 32 Sort 0, 7161/10, 0.1. 0, 0.1, 7161/10 Sort -5, 0.3, -118, 2, 1, -3. -118, -5, -3, 0.3, 1, 2 Sort 3/4, -5, -31, 638. -31, -5, 3/4, 638 Sort 12, 1008, 4 in descending order. 1008, 12, 4 Put 0, 3, -27, -4, 4 in increasing order. -27, -4, 0, 3, 4 Put 97, -94/15, 1/5, -2, -4, -3/5 in decreasing order. 97, 1/5, -3/5, -2, -4, -94/15 Sort 0, 122, 2, 5. 0, 2, 5, 122 Sort 1, 0, 35, -25, -8. -25, -8, 0, 1, 35 Sort 16, -1, 86, 5 in increasing order. -1, 5, 16, 86 Put 41, -4, 34/9 in ascending order. -4, 34/9, 41 Put 3, -354, 0, 5, 6 in ascending order. -354, 0, 3, 5, 6 Sort -0.1, 2/17, 367 in descending order. 367, 2/17, -0.1 Put 597, -16, 1/2, 0.03 in descending order. 597, 1/2, 0.03, -16 Sort -3, 1, 0, -11, -41 in ascending order. -41, -11, -3, 0, 1 Sort -13, 5/3, -108, 0, -0.5. -108, -13, -0.5, 0, 5/3 Put 0, 2/37, -10, 7, -5 in decreasing order. 7, 2/37, 0, -5, -10 Put -1/5, -7, 0.0065, -4, 3/5, 2 in ascending order. -7, -4, -1/5, 0.0065, 3/5, 2 Put 10, 36, 7, -3 in descending order. 36, 10, 7, -3 Sort 353009, -5, 4. -5, 4, 353009 Put 1, 11280, 2 in increasing order. 1, 2, 11280 Sort 3, -16/17, -1.4, -0.2, 1/2, -1 in decreasing order. 3, 1/2, -0.2, -16/17, -1, -1.4 Sort 3.5, -3.819, -3, 0.4 in ascending order. -3.819, -3, 0.4, 3.5 Put -1, 3, -3, 32, -5 in increasing order. -5, -3, -1, 3, 32 Sort -184, -3, 2/83, 4 in increasing order. -184, -3, 2/83, 4 Sort -3, 112, 0, 42, -1 in descending order. 112, 42, 0, -1, -3 Put 9, -3/1778, -1/4, -0.5 in descending order. 9, -3/1778, -1/4, -0.5 Sort -9, 50, -1/3, 0, 11/18. -9, -1/3, 0, 11/18, 50 Put -28954, 5, 4 in increasing order. -28954, 4, 5 Sort -5, -3, 47, -4, 15, 2 in decreasing order. 47, 15, 2, -3, -4, -5 Put 0, 1, 117, -46 in decreasing order. 117, 1, 0, -46 Put -12, 25, -1, 2 in descending order. 25, 2, -1, -12 Put -5829, 4, 47 in descending order. 47, 4, -5829 Put -37, -3, -4, 2, -41 in ascending order. -41, -37, -4, -3, 2 Sort 115, -16, -8. -16, -8, 115 Put -75, 3, -1, -19 in decreasing order. 3, -1, -19, -75 Put 4, -5, -26, 1, -68 in increasing order. -68, -26, -5, 1, 4 Sort 5, -1, 23, -3, -733 in descending order. 23, 5, -1, -3, -733 Sort -13741, 18, -0.5 in descending order. 18, -0.5, -13741 Sort -7, 27, 0, 4 in ascending order. -7, 0, 4, 27 Put 3/2, -9/16274, 1 in descending order. 3/2, 1, -9/16274 Sort 2/13, 15, -0.02, 0.2, 1/4 in decreasing order. 15, 1/4, 0.2, 2/13, -0.02 Put -0.5, 0.2, 20, -0.2, -292 in increasing order. -292, -0.5, -0.2, 0.2, 20 Put -2/3, -40, 23/18 in increasing order. -40, -2/3, 23/18 Put -112, -156, -3 in decreasing order. -3, -112, -156 Put -3, -546, 2 in decreasing order. 2, -3, -546 Put -24, 52/3, -217, -2 in descending order. 52/3, -2, -24, -217 Sort 4, 3, 1, -85, 120 in descending order. 120, 4, 3, 1, -85 Sort -5/11, 13/10, 4, -1 in decreasing order. 4, 13/10, -5/11, -1 Put 2, 843, -3, -2, -13, 3 in decreasing order. 843, 3, 2, -2, -3, -13 Put 16, -0.4, 3953, -2/15, -0.2 in decreasing order. 3953, 16, -2/15, -0.2, -0.4 Put -0.7, 14/3, -6 in decreasing order. 14/3, -0.7, -6 Sort -1/4, 0.4, 7373, 2, -2/15, -7. -7, -1/4, -2/15, 0.4, 2, 7373 Put 5, -2/9, 0.5, -3/8, 11, 3 in increasing order. -3/8, -2/9, 0.5, 3, 5, 11 Sort 2, -0.02, 0.1, 2.03 in descending order. 2.03, 2, 0.1, -0.02 Put 2/3, 2.9, -12, -18.8 in decreasing order. 2.9, 2/3, -12, -18.8 Sort -171, -0.12, 1/13, 6. -171, -0.12, 1/13, 6 Put -2.2, 1, 28, -8/3 in ascending order. -8/3, -2.2, 1, 28 Sort -5, 0.005062, 1/7, 1. -5, 0.005062, 1/7, 1 Put -17, 0.1, -132, -11.3 in ascending order. -132, -17, -11.3, 0.1 Sort -52, 5, -6, 6, 10 in decreasing order. 10, 6, 5, -6, -52 Put -4, -983111, -1 in ascending order. -983111, -4, -1 Sort 0.2, 3/4, -2/7, 10, -12/7. -12/7, -2/7, 0.2, 3/4, 10 Sort 4, -4, -3, -5, 124, 53. -5, -4, -3, 4, 53, 124 Sort -14, 273, -2, 5. -14, -2, 5, 273 Sort 6, -1, 2324 in descending order. 2324, 6, -1 Put 5, -3/7, -5, 6, -4, -23.3 in increasing order. -23.3, -5, -4, -3/7, 5, 6 Sort 17641, -1, -2 in descending order. 17641, -1, -2 Sort 6, -353, 1, 2 in decreasing order. 6, 2, 1, -353 Sort 2, -0.2, -13184 in increasing order. -13184, -0.2, 2 Sort -2, 3, -1, 2914, -4, 4 in descending order. 2914, 4, 3, -1, -2, -4 Put -3, -5, -68, 86 in decreasing order. 86, -3, -5, -68 Sort 258, 22, 12 in decreasing order. 258, 22, 12 Sort 5, 1/2, -0.21, 0.21, -3/4 in decreasing order. 5, 1/2, 0.21, -0.21, -3/4 Sort 1, -4, 22, -5, -15 in descending order. 22, 1, -4, -5, -15 Sort 0.1, -5, 34, 0.3, -5/6, 2/3 in increasing order. -5, -5/6, 0.1, 0.3, 2/3, 34 Sort 3/5, -25.43, -2/9. -25.43, -2/9, 3/5 Sort 11, 1454, -66. -66, 11, 1454 Put 17563, -0.1, -1 in descending order. 17563, -0.1, -1 Put -3, -17, -214 in descending order. -3, -17, -214 Sort 8, -177, 3, 2, 1 in increasing order. -177, 1, 2, 3, 8 Sort -837, -1/8, 0.27, -4, 1, 0. -837, -4, -1/8, 0, 0.27, 1 Put 6, 44, -3, 0, -2 in ascending order. -3, -2, 0, 6, 44 Put -35, 5, 28 in decreasing order. 28, 5, -35 Put 5/4, 4/3, 5, 13, -1/317, -4 in decreasing order. 13, 5, 4/3, 5/4, -1/317, -4 Sort 0.1, 1881, 0.3, 5, 2/3. 0.1, 0.3, 2/3, 5, 1881 Sort 505, -0.54, -0.2. -0.54, -0.2, 505 Put -7, -309, -3, -2 in descending order. -2, -3, -7, -309 Put -3, 6, 21964 in descending order. 21964, 6, -3 Put -2/17, 0, -9, 9/5, 0.02, 0.3 in descending order. 9/5, 0.3, 0.02, 0, -2/17, -9 Put 4, 35, 942 in descending order. 942, 35, 4 Sort 0, -55115, 1 in decreasing order. 1, 0, -55115 Put -3/5, 2/3, 4.1, 9 in descending order. 9, 4.1, 2/3, -3/5 Put -3958, 0.07, -2/81 in decreasing order. 0.07, -2/81, -3958 Sort 3, -888, 4, -2, -4. -888, -4, -2, 3, 4 Sort -9, 162, 4, -3, 6, -4 in decreasing order. 162, 6, 4, -3, -4, -9 Sort -18, 2, -11, -73. -73, -18, -11, 2 Put -22, -4, -26, 0, -1, -6 in decreasing order. 0, -1, -4, -6, -22, -26 Put -3, 1, -18, -167, -2, -1 in increasing order. -167, -18, -3, -2, -1, 1 Put 2, -1/9, 5, 1, -5, -90 in descending order. 5, 2, 1, -1/9, -5, -90 Put -5, 1, -649, 5, -0.3 in ascending order. -649, -5, -0.3, 1, 5 Sort 4, 0, -4723, -5 in decreasing order. 4, 0, -5, -4723 Put 0.35, -1/2, -42 in increasing order. -42, -1/2, 0.35 Sort -4, -164, -62, -1 in increasing order. -164, -62, -4, -1 Sort 1, 3, 102050. 1, 3, 102050 Sort 83, -1.623, 0.2, 2 in descending order. 83, 2, 0.2, -1.623 Sort -2, -345, 2, 1, -4 in ascending order. -345, -4, -2, 1, 2 Put 6, -30, -2, -1, -15 in descending order. 6, -1, -2, -15, -30 Sort -4, 195, 1 in decreasing order. 195, 1, -4 Put -292/39, 0.5, 0.2, -1, 2 in decreasing order. 2, 0.5, 0.2, -1, -292/39 Sort -0.1, 4/7, 11731, -7 in decreasing order. 11731, 4/7, -0.1, -7 Put 32, 5, -140, -5 in decreasing order. 32, 5, -5, -140 Sort 1, 4, -10, 52 in increasing order. -10, 1, 4, 52 Sort -52, 685/3, 5 in increasing order. -52, 5, 685/3 Put 0.075, -3058, 3 in increasing order. -3058, 0.075, 3 Put -531, 6, 58, -2 in ascending order. -531, -2, 6, 58 Sort 8, -1, 2, -5, 46. -5, -1, 2, 8, 46 Sort -2, -5, -1, 3, 0, -33 in increasing order. -33, -5, -2, -1, 0, 3 Sort -0.2, 1/3, 864, 0.1, -1/4, -2 in ascending order. -2, -1/4,
{ "pile_set_name": "DM Mathematics" }
- 11*g Collect the terms in -25583*o**3 + 23958*o**3 + 0 - 159529*o**3 + 0. -161154*o**3 Collect the terms in 3 - 2 + 12517840*q - 1 - 12517733*q. 107*q Collect the terms in 17*u - 612*u + 1465*u + 1739*u. 2609*u Collect the terms in -4*r**2 - 10558*r**3 - 4 + r**2 - 414*r**3 + 5. -10972*r**3 - 3*r**2 + 1 Collect the terms in 29296342*q**2 + 5*q**3 - 29296342*q**2. 5*q**3 Collect the terms in -544*a**2 - 365*a**2 + 121 - 563*a**2 - 121. -1472*a**2 Collect the terms in -6461*g - 9823*g + 7025*g - 11822*g - 13496*g. -34577*g Collect the terms in 1289*o**3 - 3759*o**3 + 2419*o**3. -51*o**3 Collect the terms in -20764925*z + 41529876*z - 20764951*z + 2*z**2. 2*z**2 Collect the terms in 243*t**2 - 98 - 72 - 136*t**2 - 109*t**2 - 284*t + 284*t. -2*t**2 - 170 Collect the terms in 10906*t**3 - 19936*t**3 + 10496*t**3. 1466*t**3 Collect the terms in 21*x + 13*x - 17*x - 530 - 5*x. 12*x - 530 Collect the terms in 6549 - 15*k + 4692 - 1990. -15*k + 9251 Collect the terms in 4911*s - 19*s**2 + 5*s**2 + 5131*s - 10041*s. -14*s**2 + s Collect the terms in -121*t**3 - 120*t**3 + 442*t**3 + 61*t - 204*t**3. -3*t**3 + 61*t Collect the terms in -681697 - 866*a**2 + 243*a**2 + 681697. -623*a**2 Collect the terms in 43*b**2 + 546*b**2 + 611*b**2 - 2*b + 2*b. 1200*b**2 Collect the terms in 749831*y - 375611*y - 374206*y. 14*y Collect the terms in 188*b + 1 + 4034*b + 4 + 1459*b + 3620*b. 9301*b + 5 Collect the terms in 172*s**2 + 945744*s - 175880*s - 174*s**2. -2*s**2 + 769864*s Collect the terms in 204 + 6529*r**2 - 6526*r**2 - 43. 3*r**2 + 161 Collect the terms in 549*d - 197*d - 227*d - 133*d. -8*d Collect the terms in -12222*y - 2380*y**2 - 12216*y - 2 + 24438*y. -2380*y**2 - 2 Collect the terms in -75*m**3 + 27*m**2 + 192 - 61*m**2 + 30*m**2 - 187. -75*m**3 - 4*m**2 + 5 Collect the terms in -637345*j + 637345*j - 2*j**2 - 40. -2*j**2 - 40 Collect the terms in -279 + 186 + 2*n + 158*n + 93. 160*n Collect the terms in -3*p - 107*p**2 - 174*p**2 + 281*p**2 + 124*p**3. 124*p**3 - 3*p Collect the terms in 413*o + 466*o**2 - 413*o - 906*o**2 + 442*o**2. 2*o**2 Collect the terms in 1748935*n**2 + 2038585*n**2 - 330806*n**2. 3456714*n**2 Collect the terms in 163 + 316 + 4*m - 638 - 14*m**3 - 38*m**2 + 159 - 6*m. -14*m**3 - 38*m**2 - 2*m Collect the terms in 586943 + 586949 - 1173892 + 2855*c**2. 2855*c**2 Collect the terms in 51260058 - 2*p**2 - 102520276 + 51260218. -2*p**2 Collect the terms in -287566*t**2 - 3510572*t**2 + 145356*t**2. -3652782*t**2 Collect the terms in -3772*x - 2764*x - 957*x + 897*x. -6596*x Collect the terms in 19*g + 510536009455 - 510536009455. 19*g Collect the terms in 1071 + l + 1112 - 2*l + 977. -l + 3160 Collect the terms in -3*c**2 - 482*c**3 - 211*c + 830*c**3 + 211*c + 969*c**3. 1317*c**3 - 3*c**2 Collect the terms in 140 + 168 - 44*j + 51*j - 339. 7*j - 31 Collect the terms in -5*a + a - 3*a - 537 + 0*a + 539 - 11*a. -18*a + 2 Collect the terms in -2*n**2 - 8613*n + 3*n**2 + 4181*n + 4416*n. n**2 - 16*n Collect the terms in -2*i**2 + 634*i + 472*i - 2358*i + 626*i + 626*i. -2*i**2 Collect the terms in -296*a**2 - 262*a**2 + 78*a**3 + 694*a**2 - 235*a**2 + 7*a**3. 85*a**3 - 99*a**2 Collect the terms in -2*b**2 - 2*b**2 - b**3 - 2926*b + 37 + 24 - 2*b**2. -b**3 - 6*b**2 - 2926*b + 61 Collect the terms in 228*t**3 + 114 - 228 + 114 - 3*t + 5*t. 228*t**3 + 2*t Collect the terms in -1461*q - 295*q + 504*q - 735*q. -1987*q Collect the terms in -97*i**2 + 1234 - 1234 + 102*i**2. 5*i**2 Collect the terms in -60*a**3 - 56*a**3 - 81*a**3 + 36*a**3. -161*a**3 Collect the terms in -687459 + 36*c - 687459 - 687451 - 687462 + 2749829. 36*c - 2 Collect the terms in 84903*b**3 - 89*b - 3 - 6 - 84901*b**3 + 89*b + 9. 2*b**3 Collect the terms in -26 + 157822*j**3 + 26. 157822*j**3 Collect the terms in 1274557*z - 1274432*z - 10 + 7*z**2 + 10. 7*z**2 + 125*z Collect the terms in 19129199*x + 53*x**2 - 24*x**2 - 19129199*x. 29*x**2 Collect the terms in 111800*x + 3166*x - 114969*x. -3*x Collect the terms in -1404*w + 4059*w + 1 + 4*w**3 - 1327*w - 1 - 1328*w. 4*w**3 Collect the terms in -66*u**2 - 32391887605883*u + 32391887605883*u. -66*u**2 Collect the terms in -13766*o - 76863*o + 9482*o. -81147*o Collect the terms in -11680609*q - 11680648*q + 23361207*q. -50*q Collect the terms in -64753*n**2 - 64736*n**2 - 64739*n**2 - 64741*n**2 - 64736*n**2 - 64745*n**2 + 388448*n**2. -2*n**2 Collect the terms in -4681314*w**2 + 9*w + 2340655*w**2 - 5*w - w + 2340661*w**2 - 3*w. 2*w**2 Collect the terms in 942*a**2 - 313 + 934*a**2 + 313 - 2208*a**2. -332*a**2 Collect the terms in 525*c**2 - 1575*c**2 - 15634 + 15634 + 535*c**2 + 526*c**2. 11*c**2 Collect the terms in -11030*d - 10945*d + 21654*d. -321*d Collect the terms in 30382*t - 30357*t + 171*t**2 - 169*t**2. 2*t**2 + 25*t Collect the terms in -13 - 4525226*d + 13. -4525226*d Collect the terms in -113337*q - 282198*q - 58399*q. -453934*q Collect the terms in -109614 + 26*p**2 + 219146 - 109532. 26*p**2 Collect the terms in 95*a - 88*a**3 + 236*a**2 - 188*a + 92*a - 42*a**2 - 194*a**2. -88*a**3 - a Collect the terms in -489*m + 265*m**2 - 138*m**2 + 1 - 144*m**2. -17*m**2 - 489*m + 1 Collect the terms in -7*x + 14*x + 1125*x**2 - 10*x + 3*x. 1125*x**2 Collect the terms in -145445*n**2 + n**3 + 72721*n**2 + 72724*n**2 + 3*n**3. 4*n**3 Collect the terms in -162*x**3 - 344*x**3 - 8*x**2 + 8*x**2. -506*x**3 Collect the terms in 5 + 0 + 4939*g**2 - 5 + 4554*g**2. 9493*g**2 Collect the terms in 9168*o**3 - 1 + 1 + 24210*o**3 + 6380*o**3. 39758*o**3 Collect the terms in -381 + 1326 + 16*z - 11*z - 384 - 554. 5*z + 7 Collect the terms in -104080*d + 51542*d + 2*d**3 + 52538*d. 2*d**3 Collect the terms in -66*c - 213 + 182*c - 105*c + 4. 11*c - 209 Collect the terms in -5*a - 5*a + 13*a + 16764*a**3 + 25848*a**3 - a. 42612*a**3 + 2*a Collect the terms in 3121*r**3 - 6902*r**3 + 3229*r**3. -552*r**3 Collect the terms in 879001*z**2 - 3 + 5 - 879058*z**2. -57*z**2 + 2 Collect the terms in 250*v**3 - 1116*v**3 + 429*v**3 + 435*v**3. -2*v**3 Collect the terms in 117*w**2 + 652*w - 149*w - 116*w**2 + 761*w - 4. w**2 + 1264*w - 4 Collect the terms in 2*j**2 + 29637 + 29529 - 59166 - 4*j**2 + 4*j**2. 2*j**2 Collect the terms in 8 + 17278*v**2 + 3 - 11 - 36*v**3. -36*v**3 + 17278*v**2 Collect the terms in 6899752537*i**2 - 182*i**3 - 6899752537*i**2. -182*i**3 Collect the terms in -1580*z - 31*z**2 + 71*z**2 + 788*z - 34*z**2 + 792*z. 6*z**2 Collect the terms in -104*i + 2*i**2 + 126*i + 188*i - 2*i**2 + 2*i**2. 2*i**2 + 210*i Collect the terms in -2*u - 111*u**2 + 113 - 90 - 28. -111*u**2 - 2*u - 5 Collect the terms in 2*g**3 - 3118*g**2 + 3118*g**2 + 36351*g - 36351*g. 2*g**3 Collect the terms in 2442380*a**3 - 4884781*a**3 + 2442393*a**3. -8*a**3 Collect the terms in -1318*q**2 + 1074 - 1319*q**2 + 2639*q**2 + 4619. 2*q**2 + 5693 Collect the terms in -29010*w**2 + 17*w**3 - 78*w**3 + 29010*w**2. -61*w**3 Collect the terms in -53*t**2 - 25*t**2 - 84*t**2 + 162*t**2 - 80*t**2. -80*t**2 Collect the terms in -14*l**2 + 1458*l**3 + 1459*l**3 + 1467*l**3 - 5813*l**3 + 1456*l**3. 27*l**3 - 14*l**2 Collect the terms in 10899 - 10899 - 7*z**2 - 291*z + 684*z - 393*z. -7*z**2 Collect the terms in 18*f**3 + 482627*f**2 - 482591*f**2 + 22*f**3 - 38*f**3. 2*f**3 + 36*f**2 Collect the terms in -g - 3*g + 6 + 91*g**3 - 51*g**2 - 34*g**2. 91*g**3 - 85*g**2 - 4*g + 6 Collect the terms in r**3 + 203919*r**2 - 109948*r**2 - 93971*r**2. r**3 Collect the terms in 5 - 1683287*q - 5 - 1472911*q. -3156198*q Collect the terms in -8562*y - 8339*y - 8321*y + 25208*y. -14*y Collect the terms in 666493 - 8*q + 2*q**3 - 666493. 2*q**3 - 8*q Collect the terms in 3549450*x - 7098331*x + 3548876*x. -5*x Collect the terms in -8*r**2 - 211*r + 0*r**2 - 218*r + 14*r + 0*r**2 + 416*r. -8*r**2 + r Collect the terms in 2317*t**2 + 31*t**3 + 27 - 54 + 27 - 2317*t**2. 31*t**3 Collect the terms in -17*o**3 + 442 + 7*o**3 + 761 + 8*o**3 + o**2 + 7*o**3. 5*o**3 + o**2 + 1203 Collect the terms in -27*x**2 - 68*x**2 + 37*x**2 + 30*x**2 + 17*x**2 + 21*x**2. 10*x**2 Collect the terms in -72*i - 26*i**2 - 18*i + 39*i + 6*i + 45*i. -26*i**2 Collect the terms in -195 - 65*z + 35*z + 45*z. 15*z - 195 Collect the terms in -44*f + 24272*f**3 + 44*f + 5*f**2 - 2*f**2. 2
{ "pile_set_name": "DM Mathematics" }
e Let n(g) be the third derivative of -7*g**4/24 + 3*g**3/2 + 6*g**2. Is n(-10) a composite number? False Let c(x) = -x**2 + 10*x + 4. Let h be c(10). Suppose 7*l = h*l. Suppose l*j - 4*j = -332. Is j a prime number? True Let h(b) = b**3 + 8*b**2 + b + 8. Let x be h(-8). Suppose 5*o - 183 = -4*u, x = 7*u - 2*u - 10. Is o a composite number? True Let q = -462 + 857. Is q a prime number? False Suppose 7 = -2*l - 9. Let w(a) = -a**3 - 7*a**2 + 2*a + 5. Is w(l) prime? True Suppose -3*z + 144 = -63. Is z a composite number? True Let o be -2 - (1 - 0 - 6). Let h(j) = j**3 - j**2 + 4. Is h(o) prime? False Let p(c) = c - 3. Let o be p(3). Suppose o = -q + 84 + 47. Is q a composite number? False Is (-1543 + 11)*(-3)/4 a composite number? True Suppose -3*k - 2*k - 225 = -5*m, 2*k - 33 = -m. Suppose -4*z = -3*a - m, 0 = -5*z - a + 4*a + 55. Suppose -c = -8 - z. Is c a composite number? True Let p(u) = u**3 - 15*u**2 + 5*u - 47. Is p(20) prime? True Let q = 1480 - 609. Is q prime? False Let d(t) = t**3 + 4*t**2 + 3*t + 2. Let r be d(-3). Suppose 4*i = -5*f + 758, -3*i + 557 = r*f - 4*f. Is i a composite number? True Let l = 16 - 122. Let g = l - -175. Is g a prime number? False Suppose 2*k - 3*k + 9 = 2*c, -3*k + 18 = 3*c. Suppose -3*t = -3, -w + c*t + 10 = -10. Is w a composite number? False Let k(t) = 2*t**2 + 2*t + 1. Suppose -3*x + 15 = 4*y, 5*y = y + 5*x + 39. Is k(y) a composite number? True Let h = 43 + 7. Let w = -19 + h. Is w composite? False Let s = -1 + 8. Suppose h + 14 = -5*k, 2*h + 2*k + s = 3*h. Let f = h - -14. Is f a composite number? True Let d(j) = -j**3 - j**2 + 9*j - 7. Is d(-6) a prime number? False Let x be (-39)/(-12) - 2/8. Suppose 0 = 2*i + 3*w - 158, -2*i + 395 = x*i - 2*w. Is i composite? False Let r = 568 - 1046. Let m = r - -998. Let z = 851 - m. Is z prime? True Suppose s - 4*w - 52 = 0, w + 3 - 4 = 0. Suppose 5*o = s + 39. Is o a prime number? True Suppose 2*z - 3*o - 61 = z, z = -2*o + 36. Suppose -x + 33 = -31. Suppose -5*p = -z - x. Is p prime? False Suppose 10*h - 1490 = 5*h - 5*j, -h - 4*j + 307 = 0. Let u = -8 + h. Is u a composite number? True Suppose -4*r + h - 541 = 0, -5*r - 677 = -4*h + 2*h. Let u = 338 + r. Is u a composite number? True Suppose -5*m + 7 = -8. Suppose -4*y + 4 = -3*y. Suppose -m*p + 127 = v + y*v, 0 = -4*v - 3*p + 104. Is v a prime number? True Suppose 3*g - g = 18. Is g*((-17)/(-3) - 0) a prime number? False Is (-6)/15 + 13761/15 composite? True Let n = 0 - 0. Suppose n = b - 4*v + v - 31, 0 = 2*b - v - 62. Is b a composite number? False Suppose 0 = m - 2*r - 1, -2*m + 1 + 0 = -3*r. Is (-195)/(-10) + m/2 a prime number? True Suppose -4*s = -s. Suppose -5*c - 2 = -2*t - 2*t, s = -3*c + 2*t. Is 117 + 2/(c/(-2)) a composite number? True Suppose 2*o - 3*o + 4 = 0. Let q be (-5 - -1)*2*93/(-6). Suppose -88 - q = -o*n. Is n prime? True Let p = 2 + 1. Suppose p = 4*d + 11, -5*m - 2*d = -341. Is m prime? False Let p(x) = -x - 3. Let n be p(-6). Suppose l - 4*b - 47 = 0, n*l - 2*b - 59 = 42. Is l a prime number? True Let x(k) = 312*k**3 - k**2 + k - 1. Let o be x(1). Suppose -t = -4*v + o, -3*v + 89 = -2*v + 2*t. Is v prime? True Let f(c) = 2*c**2 + 2*c + 5. Is f(6) prime? True Suppose 4*z = 4*w + 44, -2*z - 79 = -7*z - w. Is z a prime number? False Let f(o) = -37*o**3 - 2*o**2 - o + 2. Let v be f(-2). Suppose v - 1347 = -5*t. Is t prime? True Let u be (3/6)/((-2)/(-8)). Suppose -5*d + 1486 = 3*p + 81, u*d = 2*p + 546. Suppose 0 = 2*v + 4*y - d, 0 = v + 4*v - y - 750. Is v composite? False Let k = 5 - 5. Suppose 3*c - 273 = -k*c. Is c a prime number? False Let j(m) = -3982*m**3 + 1. Is j(-1) a composite number? True Let h(z) = -z**3 + 4*z**2 + 2*z + 2. Let t be h(5). Let j = 82 + -48. Let a = t + j. Is a composite? True Let a be 1 + (4 + -2 - 1). Suppose -c + 86 = -3*t, 4*c + a*t - 392 = -2*t. Is c composite? True Let s = 6 + -4. Suppose 2*o = -s*o + 428. Let k = o + -30. Is k a prime number? False Let k = 2 + 2. Let x = 20 + k. Suppose 36 + x = 4*l. Is l a prime number? False Suppose 4*c - 1107 = -p, 4*c - 2 = 3*c. Is p prime? False Let r(c) = -264*c**3 + 3*c**2 + c - 3. Is r(-2) a prime number? False Let s(b) = 74*b**2 - 1. Is s(2) a prime number? False Let n(b) be the second derivative of 0 + 1/6*b**4 + b**3 + 2*b + 7/2*b**2. Is n(6) a prime number? False Suppose -4*i + 1585 = 3*a, 2*a = -4 + 2. Is i a composite number? False Let y = -71 + 170. Suppose -y = -5*k - 4. Is k prime? True Let z(f) = -f**2 + 5*f + 3. Let l be z(5). Suppose 36 = 3*t + 3*j, t + l*t - 69 = 3*j. Is t composite? True Let n(w) = w**2 - 3*w - 13. Let m be (0 + 1 - 1) + 5. Suppose -r = 2*i + 4*r - m, -r - 43 = -4*i. Is n(i) a prime number? False Is ((-5961)/(-9))/(11/33) a prime number? True Let f(j) = -j - 1. Let v(m) = 12*m + 18. Let k(h) = 18*f(h) + v(h). Let p be k(-1). Suppose -2*i = -p*i + 28. Is i a prime number? True Let d = 4 - 2. Let h(r) = 2*r**3 + 2*r**2 - 2*r - 2. Let q be h(d). Let u = q + 35. Is u a composite number? False Is (11/(-22))/(0 - 1/754) a prime number? False Suppose 9*z + 164 = 5*z. Let q = 88 + z. Is q a prime number? True Let z = 9853 + -6932. Is z a composite number? True Let u be 328/18 + 4/(-18). Let p = -44 + u. Let r = p - -63. Is r a prime number? True Suppose -5*u + 5 = 2*i - 1, -5*u = 3*i - 4. Suppose -r + u*f = 23 - 208, 3*r + 3*f - 600 = 0. Suppose 0 = -k - 2*k + r. Is k a composite number? True Suppose -k - 19 = 4*d, 0*k = 5*k + 2*d + 5. Is 2 - k - 136/(-2) a prime number? False Let p(w) = 138*w - 7. Is p(7) composite? True Suppose -89 = -b - 22. Is b composite? False Let x(b) = -b**2 - 2*b + 2 - 1 - 2*b + 1. Let s be x(-6). Is ((-75)/s)/(1/2) composite? True Suppose -196 = -u - 5*b, 0 = -2*u - 3*u - 4*b + 959. Is u a composite number? False Suppose 4*v - 2*j - 314 = 0, -4*v = j - 5*j - 316. Let w = 56 + v. Is w composite? True Suppose -2*a = 2*y - 1391 - 1033, -3*a + 4*y + 3643 = 0. Is a a prime number? True Let b(u) = 1167*u**2 - 2*u. Is b(1) prime? False Let s(q) = -6*q**3 - 2*q - 1. Let x be s(-1). Suppose x = -4*c - 1. Is c*(10/(-4) + 1) prime? True Let z(q) = 2*q**2 - 4. Let t be z(-3). Is (t/(-4))/(7/(-14)) a prime number? True Let i(s) = -34*s - 5. Is i(-7) composite? False Let w = -270 + 493. Is w prime? True Let a = 117 + -80. Is a a prime number? True Let r = -79 + 113. Is r a composite number? True Suppose -4*s - 14 = 2*m, 0 = -3*s - 0 - 3. Is (-2 - m)/6*290 a composite number? True Let p be 0/(-1 - 2) - -8. Suppose -k + 59 = -p. Is k a composite number? False Is 3*1 + 6244/7 a prime number? False Let j(y) = -y**2 + 5*y + 4. Let r be j(5). Let d(i) = r*i**2 - 4*i - 3*i**2 + 3*i - 1. Is d(5) a composite number? False Suppose -69*l = -70*l + 1657. Is l composite? False Suppose 2121 = 106*d - 103*d. Is d prime? False Let n = 1583 - 852. Is n a composite number? True Let s(m) be the second derivative of -2*m**3/3 - 3*m**2/2 - 8*m. Let r be (-9)/(0 + 1 + 0). Is s(r) a prime number? False Suppose -2*r - z = -1810, -4*r + z = 2*z - 3624. Is r a composite number? False Suppose 10*s = 8*s + 4*v + 3488, 0 = -4*v + 20. Is s a composite number? True Let w(h) = 220*h**3 + h**2 - h + 1. Is w(1) composite? True Suppose -7*t = -4*t - 6. Suppose 5*r - 3*w = -t*w + 438, 0 = 5*r + w - 432. Is r a prime number? False Let d(i) = 2*i**3 + 8*i**2 - 2*i - 3. Let v be d(-4). Suppose -v*s + 75 = -40. Is s a prime number? True Let v be (-2)/(-4)*(-4 + 0). Let k be ((-28)/(-3))/(v/(-6)). Suppose x = 185 - k. Is x prime? True Is (5 - 4706/8)/((-2)/8) a composite number? False Let k(z) = 3*z**2 + 11*z + 12. Let q be k(-11). Suppose 0*v - 2*v + q = 0. Is v a prime number? True Let z be (-2)/7 - (-198)/7. Suppose -l - 6 = -5*p - z, 0 = -5*l + 4*p + 26. Suppose -l*o = 2*o - 40. Is o composite? True Let g(p) = -p**3 + 3*p**2 + 4*p + 2. Let s be g(4). Suppose -s*c - 20 - 52 = 0. Let t = 69 + c. Is t prime? False Let t be 6/4 - 49/14. Is t - ((-48)/3 + -1) a composite number? True Suppose -2*z = -4*o + 790, -6*o + 2*o + 5*z + 781 = 0. Is o composite? False Let m(h) = h. Let g(s) = 42*s - 1. Let r(v) = g(v) + 4*m(v). Is r(2) a composite number? True Suppose 0*a - 5*a = 0. Suppose a*j + 4*j = 24. Is -99*(0 - 2)/j prime? False Suppose c + 5*i - 204 = 0, 3*i + 522 = c + 2*c. Is c a prime number? True Let p = -3 - -
{ "pile_set_name": "DM Mathematics" }
8*z + 2265*z - 54 = 0, -6*z = h + 103 for h. 5 Solve -24 = -2*u - 4*i, 0 = 3*u + 2*i - 23*i + 46 + 26 for u. 4 Solve 31*q + 2820 = 3037, 0 = -2*s - 5*q + 27 for s. -4 Solve -4384*y + 4*q = -4387*y - 43, -q - 38 = 2*y + 4*q for y. -9 Solve 3*i + u + 15*u - 21*u = -225, 177*i - 45 = -u for i. 0 Solve -4*b + 46013*p + 38 = 46010*p, -16 = -3*b - 4*p for b. 8 Solve 15*p - 165 = 0, -29*v + 4*p - 40 = -30*v for v. -4 Solve -5565*c = -5563*c + 5*a + 13, 3*c + 394*a = -1494 - 458 for c. 6 Solve -6*i + 28 - 3 = -t + 67, 3*t + 2*t = 3*i + 48 for i. -6 Solve -y + 12604 = -2*a + 12646, -a + 147 = -4*y for y. -36 Solve 3*q - 23 = 5*n, 2*n + 730*q - 721*q - 103 = 0 for n. 2 Solve 383266 = -16*m - 5*p + 383629, 4*p + 96 = 4*m for m. 23 Solve -181*k - 199*k = -384*k + 3*j + 35, 3*j + 211 = -40*k for k. -4 Solve -50 = -m - 4*h, -2*m - 5*h = 17887 - 17948 for m. -2 Solve m = 3*d + 6, 39*d = 4*m + 41*d - 38 for m. 9 Solve 0 = -4*b + p - 22, 50 = -1152*b + 1150*b + 2*p for b. 1 Solve 49*w + 314 = -4*p + 2*p, -4*w - w + 157 = -3*p for p. -59 Solve -4*x + 2*w - 51084 = -102118 + 51058, -9*w - 12 = 2*x for x. -6 Solve 146486*m - 4*o + 1 = 146485*m, 2*o - 8 = -2*m for m. 3 Solve 42*d + 531 = -28*h + 33*h, -5*d - 258 = -h - 2*h for d. -3 Solve -4*s = -5*y - 18, 4043*s - 4045*s - 3*y = 2 for s. 2 Solve 2*f - 108*n = -113*n + 20, -3*f + 12 = 3*n for f. 0 Solve -19*i = 2*f - 144, 0*f + 1238 = -5*f + 3*i + 1194 for f. -4 Solve 614*j + 8 = -4*p + 615*j, -5 = p - j for p. -1 Solve -4*x + 2 = -568*b + 567*b, 2*x + 16*b = -164 for x. -2 Solve 3*j + 2*z + 1 = 0, -8*j + 36*j = 31*j - 112*z + 115 for j. -1 Solve -4*p = 33*k - 62 - 11 - 21, -4*p + 4*k + 7 = -161 for p. 40 Solve 55100*f = 55095*f - 3*d + 268, -108 = -2*f - 2*d for f. 53 Solve -4*q - 75 = -5*f, -3*q + 34 = 18*f - 17*f for q. 5 Solve -2*s + u - 102551 = -4*s - 102570, -3*s - 11 = -2*u for s. -7 Solve -8*v + 16 = 0, 5*q = 3260795*v - 3260796*v + 92 for q. 18 Solve 2*w + 3*k = -61, -302 = 5*w + 20*k - 12 - 39 + 139 for w. -2 Solve 447*h - 35*k + 0*k = 448*h - 38, 1 = -h + 4*k for h. 3 Solve -12*l + 89*l + 12*b - 231 = 10*b, -2*b = -3*l + 9 for l. 3 Solve -113*z + 3*q = -58*z - 58*z + 21, -4*q - 15 - 5 = -4*z for z. 6 Solve -u - 14 = -2*b + 3*u, b + 13 = -2*u for b. -3 Solve 92*t - 17 + 490 = 13, 6*n + 5*t - 6*t - 1 = 4*n for n. -2 Solve -2*u = -q + 5 - 14, 2*u + 4*q + 86 = 0 for u. -5 Solve -55 = -5*u - 0*u - 11869*h + 11864*h, -10 + 325 = 45*h for u. 4 Solve -117 = 4*q - 5*o, -4199*o = 4*q - 4203*o + 96 for q. -3 Solve -17706*t + 17705*t + 78 = 32*s, s - 4*t = -54 for s. 2 Solve 5*r = -3*s + 318, -4*r - 44588*s = -44591*s + 345 for r. -3 Solve -5*i - 4*r = -88, 29*i - 2*r + 22 = 26*i for i. 4 Solve -4*w = 3*j - 34, -3*w - 18*j = -1133 + 1139 for w. 10 Solve -y + 31 = -13*q, 10*q - 676*y = -671*y - 45 for q. -2 Solve -78*z - 1331 + 203 = -362*z + 2*g + 326, -4*g - 68 = 0 for z. 5 Solve -30*g = -72*g + 40*g - 34, -2*h - 2*g = 24 for h. 5 Solve -4*p = 3*v - 20, 128*p + 132*p - 263*p - 2*v - 3*v = -26 for p. 2 Solve 0 = 12*y + 4*n - 52, -y + n = 3044 - 3047 for y. 4 Solve -4*u = -4*x - 36, 28581*u = 2*x + x + 28582*u + 2 + 5 for x. -4 Solve -3*i + 2*x - 6*x - 59 = -18, -12*i + 4*x + 2 + 54 = 0 for i. 1 Solve 0 = 10*k + 5*x - 15, 4158*k - 4154*k + 4*x = 8 for k. 1 Solve -10*f - y = -197 - 176, 5*f + 3*y - 194 = 0 for f. 37 Solve d + 26 = -3*g - 2*d - 7, 5*g = 89*d - 149 for g. -12 Solve 4*j + 20349 = s + 20364, -5*j - 2*s = -0*s + 69 for j. -3 Solve 0 = -2*v - 3*r - 217 + 109 + 109, -2*r = 4*v + v - v + 2 for v. -1 Solve -3*h - 977 = 4*q - 916, 2*q = -3*h - 53 for q. -4 Solve 22*g - 2*y + 754 = -28*g - 4*y, -y + 58 = -0*g - 4*g for g. -15 Solve -8*o = 5*x + 73, 36*x - 6*x - 24 = -3*o - 192 for o. -6 Solve -2*t = -2*k + 12, 13*t + 12732 = -4*k + 12705 for k. 3 Solve 2*o - 2 = -6*o + 8*o - 2*f, 3*f = -56*o + 59*o - 204 for o. 69 Solve 52 + 2 - 30 = j + 5*h - 21, -2*h = 4*j for j. -5 Solve 0 = -2*l - 0*l + 5*l - 36, 12*v - 29 - 32 = 17*v - 3*l for v. -5 Solve -119*x + 118*x + 9 = 5*p, 3*x = 4*p - 2*p - 7 for x. -1 Solve 5*a - 4*i + 85 = 0, 21916*a - 21927*a - 187 = 5*i for a. -17 Solve z = 5*d - 7463 + 7480, -3*z + 0*d - 3*d + 2*d + 3 = 0 for z. 2 Solve -3*q - 11*s + 2945 = 2821, 4*s + 296 = 7*q - 2*q for q. 56 Solve 0 = -46*j - 8*h + 476, 28*j - 27*j - 3*h = 4 for j. 10 Solve -3*r + 3*j - j + 26 = 0, -17*r - 2*j - 1629 + 1763 = 0 for r. 8 Solve -3*d + 4*v = 31, 6*d + 11*d - 14*d = -8*v + 17 for d. -5 Solve 0 = 3*l - 3*n - 103 + 259, 383*l - 66*l + 299*l - 1573 = 5*n for l. 3 Solve 0 = 115*q - 345, -8278*r + 8281*r - 2*q + 51 = 0 for r. -15 Solve -5*z - u - 7 = -4*u, 4*z - 3*u = -6*u - 24*u + 112 for z. 1 Solve 37360*j + 69 = 5*i + 37357*j + 49 - 108, 175 = 11*i - 4*j for i. 1 Solve 2*d = -5*f - 39, -4*f + 5*f + 4*f + 0*f + 161 - 12 = -57*d for f. -7 Solve 4*x + 8236 - 8070 = -n, 4*x + 172 = -4*n for n. -2 Solve -4*r + 56 = -8*l, -852 = 3*r + 13*l - 780 for r. 2 Solve 2*x - 5*v = -20, x - 3*v = -457 + 449 for x. -20 Solve 8*c + 118 = -5*b + 24 + 8, 5*c + 0*b = b + 4 for c. -2 Solve -10*j + 459*a = 457*a + 64, 6*j - 2*j - a = -27 for j. -5 Solve -3*y = -3*n + 279 - 210, 3*n - 186 = 9*y + n for y. -20 Solve 3*f = q + 22, -109877*q - f + 9 = -109878*q - 9 for q. -16 Solve 294*p + 392*w - 394*w + 55 = 311*p, -p + 5*w = 4*w - 1 for p. 3 Solve 4*j = -3*w + 64, 213*w - 52 = 211*w + 2*j for w. 24 Solve 0 = 5*d + 20, -14504754*d + 14504758*d - 14 = -5*u for u. 6 Solve -105*w = -s - 64*w - 56*w - 304, s + 2*w = -44 for s. -4 Solve 5*s - 29899*t = -29897*t - 55, 0 = -2*s - 17*t + 601 for s. 3 Solve -2*y + 2*n = -22, 3*y + 1574383*n = 1574384*n + 21 for y. 5 Solve -i + 10*i = 13*i, 0*i - 3*i - 5 = -3*m + 19 for m. 8 Solve -16224*u + 10 = 5*i - 16219*u, 6 = 3*i - 11*u for i. 2 Solve s - 11 = 5*g, 0 = 4*g + 4*s - 10988007 + 10988059 for g. -4 Solve 4*u + 158 - 240 = -5*o + 2*u, -2*o = 2*o + 2*u - 66 for o. 16 Solve -36*z = -30*v - 37*z - 164, 64 = -3*v + 7*v - 6*z for v. -5 Solve 4*y + 1829 = -a + 1823, y - 127*a + 765 = 0 for y. -3 Solve 0*w - 4*w + 39*a - 176 = 0, 128*a - 125*a - 47 = 7*w for w. -5 Solve 41 = 2*v + 15*j, -4*v - 2*j + 56 = 58 for v. -2 Solve 0 = 5*d - b - 33, -9*d - 2*b - 147 = -50 - 50 for d. 1 Solve -177*z + 178*z - 2 = -j, 23*z + 122 = 5*j for j. 6 Solve -2*s = -5*l - 55, 4*s - 266 = -2*l - 157 - 131 for l. -11 Solve -119*t - 5*c + 546 = 0, -331*t + 4*c = -333*t - 15 + 79 for t. 4 Solve -100*l - 56 = 22*j - 99*l, 0 = -5*l - 60 for j. -2 Solve 12*r = 55*z - 57*z + 15*r, 11 = -4*z - 2*r - 21 for z. -6 Solve 19332*d - 9665*d + y - 26 = 9668*d, -d + 11*y - 160 = 4*d for d. -21 Solve -3596*y + 3*p = -3600*y - 37, -68*p = -2*y + 1024 for y. 2 Solve -523*c - 3*b = -519*c + 22, 36 = -6*c - 6*b for c. -4 Solve -158*k = -z - 161*k + 5, -k = 0 for z. 5 Solve -2457*r + 0*x - 4 = -2455*r - 2*x - 2, -6*r = 4*x - 34 for r. 3 Solve -26 = 5*r - 3*w, -58133*r + 58135*r + 4 = -2*w for r. -4 Solve 4 = -2*f + 4*z, 29*f + 5*z - z = 17*f + 16*f + 8 for f. -2 Solve -123 = 3*p + 127*n + 127*n - 250*n, 2*p - 98 = 4*n for p. -5 Solve 5*k - 4*u = -103, -3*u = 40120*k - 40125*k - 101 for k. -19 Solve -2*m - 3*v = 34 - 41, -10*m + 77 = 485*v - 484*v for m. 8 Solve 22 = 7*m + 64, -9 = 841*h - 842*h + m for h. 3 Solve -256*r + l - 5*l - 208 = 0, 4*r + 7*l = 4*l + 32 for r. -1 Solve 42*g - 19*g + 27 = 28*g + 3*y, 27 = 3*g + y + 2*y for g. 0 Solve -5*t + 8*t = 5*t + 17*h - 65, -4*t + 0*t + 97 = h for t. 24 Solve 7*y = -268*g + 268*g + 9*y + 24, -4*g = -5*y - 80 for g. 5 Solve 2*y - 8*x + 5*x - 4 - 7 = 4*y, 4*y + 2*x = -26 for y. -7 Solve -40*i = 2*w + 60 + 72, 768*i + 773*i + 5*w = 1536*i - 45 for i. -3 Solve -22*o - 32 = -4*c, -536*o - 4*c - 60 = 557*o - 1092*o for o. -4 Solve -8292587*p - 4*u = -8292588*p + 24, 2*p - 30 = 5*u for p. 0 Solve -3*j = -9, 0*r - 24 = -3*r + j - 0*j + 13 + 32 for r. 24 Solve -5*o + 7 = -x - 18 + 36, 71 = -o - 8*x - 9*x for o. -3 Solve -7*o - 32427*p + 32432*p = -87, -2*o + 12 = -4*p for o. 16 Solve 5*o - 423*q + 425*q + 120 = 0, -2*o - 58 = q for o. -4 Solve -4 = -2*u - 6313*o + 6241*o + 6, 7*u + 4*o - 15 = 4*u for u. 5 Solve 0 = -2*x + 6*y - 23*y + 13*y - 6, -118*x - 589 = y for x. -5 Solve 11*q - 44 = 14*q + 5*p, 4*p + 78 = -10*q - 56 for q. -13 Solve -4*a + 334*g = 317*g + 129, 4*a - a + 87 = 3*g for a. -28 Solve -
{ "pile_set_name": "DM Mathematics" }
7 = 4*u - x. What is u*z(c) - a(c)? 2*c - 2 Let p(s) = 8*s. Suppose h = -5*i + 9, -i + 3 = -h - 6. Let o be 3 + (-4 - -2 - -4). Let b(w) = 7*w. Give h*b(c) + o*p(c). -2*c Let o be (-64 - -58) + 1 + -1. Let i(b) be the third derivative of b**6/24 + b**5/12 + 5*b**3/6 + b**2. Let w(a) = 5*a**3 + 6*a**2 + 6. What is o*i(j) + 5*w(j)? -5*j**3 Let g(f) = 105*f**3 + 16*f**2 - 17*f + 11. Let l(i) = -21*i**3 - 3*i**2 + 3*i - 2. Calculate -2*g(q) - 11*l(q). 21*q**3 + q**2 + q Let n(w) = 2*w - 2. Let k(u) = -10*u + 10. Let i = -114 - -116. Calculate i*k(l) + 11*n(l). 2*l - 2 Let a(c) = -3*c**2 - 5. Let d = 495 - 490. Let b(v) = -4*v**2 - 4. Calculate d*b(z) - 6*a(z). -2*z**2 + 10 Let f(x) = x**3 + x**2 - x + 1. Suppose -5*b = -3*m + 23, -3*b + 0*b = 4*m + 8. Let c(w) = -6*w**3 - 3*w**2 + 3*w - 1. Give m*c(h) + 3*f(h). -3*h**3 + 2 Let t(y) = y**3 + y + 1. Let j(h) = 4*h**3 + 3. Suppose 0 = -7*m + 8*m - 1. Let c(n) = -n**3 + n**2 - n. Let g be c(m). Give g*j(w) + 3*t(w). -w**3 + 3*w Let c(k) = -2*k**3 + 4*k**2 + 4*k + 4. Suppose -2*y + 3*t - 7 = -3*y, -4*y = -2*t. Let i(m) = m**3 - m**2 - m - 1. What is y*c(r) + 4*i(r)? 2*r**3 Let r(y) = -13*y**3 + 6*y**2 + 6. Let p(s) = s**3 - s**2 - 1. Give 6*p(v) + r(v). -7*v**3 Let m = -65 + 67. Let a(d) = 0*d + d + 7 + m*d - 7*d. Let b(q) = -5*q + 8. What is -6*a(j) + 5*b(j)? -j - 2 Let t(z) = -2*z**2 - 6*z - 3. Suppose -k - o = 2*k + 5, 4*o = -5*k - 13. Let l(w) = -w**2 - w - 1. What is k*t(j) + 3*l(j)? -j**2 + 3*j Let n(k) = -1 + 0 + 2*k - 3*k + 0*k. Let j = 2 - 3. Let r(i) be the second derivative of -i**3/6 + i**2 - 16*i. Determine j*r(a) - 2*n(a). 3*a Let i(m) = m**3 + 21*m**2 - 3*m + 7. Let z(f) = 3*f**3 + 44*f**2 - 7*f + 15. Determine -7*i(g) + 3*z(g). 2*g**3 - 15*g**2 - 4 Let y(g) = -g**2. Let j(k) = 2*k**2 - k. Let z be 0 + -5 - (-5 - (-1)/1). What is z*j(b) - 4*y(b)? 2*b**2 + b Let o(k) = 3*k - 6 - 11*k + 4 - 3. Let i(c) = 4*c + 2. Suppose -21*m + 46 = 4. What is m*o(h) + 5*i(h)? 4*h Let l(v) = -48*v**2 + 9*v - 9. Suppose -799 = -10*f - 889. Let u(c) = 24*c**2 - 5*c + 5. Calculate f*u(b) - 5*l(b). 24*b**2 Let k(t) = -4*t + 4. Let w(q) be the first derivative of 7*q**2/2 - 9*q + 739. What is -5*k(u) - 3*w(u)? -u + 7 Let d(t) = 11*t**2 - 153*t + 13. Let b(a) = 5*a**2 - 73*a + 6. Determine -13*b(w) + 6*d(w). w**2 + 31*w Suppose -14 = t - 3*i - 0*i, -3*i - 71 = 4*t. Let c(a) = -9*a - 20. Let k = -23150 - -23156. Let s(x) = -3*x - 7. Determine k*c(q) + t*s(q). -3*q - 1 Let b(o) = -712*o**2 + 7*o + 7. Let w(v) = -237*v**2 + 2*v + 2. Give -2*b(m) + 7*w(m). -235*m**2 Let b(p) = -p - 1. Let x = 886 - 885. Let w(l) = 7*l**2 + 3*l + 3. What is x*w(j) + 3*b(j)? 7*j**2 Let v(c) = c**2 + 14*c - 53. Let x be v(-17). Let o(h) = 9*h - 1. Let s(l) = -4*l + 1. What is x*o(t) - 5*s(t)? 2*t - 3 Let n(r) = -382*r + 175. Let o(t) = -96*t + 45. Let i(u) = -2*n(u) + 9*o(u). Let f(v) = -11*v + 6. Suppose 5*a = 31 - 1. Determine a*i(m) - 55*f(m). 5*m Let h(a) = -63*a**2 - 32*a + 18. Let i(g) = 22*g**2 + 11*g - 6. Determine -6*h(p) - 17*i(p). 4*p**2 + 5*p - 6 Let c(n) be the second derivative of 11*n**4/12 + 4*n**3/3 - 9*n**2/2 + 17*n - 1. Let o(b) = b**2 + b - 1. What is -2*c(l) + 18*o(l)? -4*l**2 + 2*l Let u(s) = 27*s**3 - 7*s**2 - 5. Let x(g) = 40*g**3 - 10*g**2 - 7. Let r(v) = 7*u(v) - 5*x(v). Let z(w) = w**2. Calculate r(k) - z(k). -11*k**3 Let i(l) = -20*l. Let g(t) = -10*t. Suppose 0 = 2*c + 2*d, -3 - 5 = 4*d. What is c*i(k) - 5*g(k)? 10*k Let q(t) = -413*t**3 - 472*t**2 - 236*t. Let o(a) = 2*a**3 + 2*a**2 + a. Calculate -708*o(h) - 3*q(h). -177*h**3 Let o = -35 - -18. Let i(w) be the first derivative of -3*w**2 + 20*w + 12. Let g(t) = -t + 2*t - 3*t + 7. Calculate o*g(f) + 6*i(f). -2*f + 1 Let s(p) = -p + 79. Let d(x) = x - 38. Determine 13*d(t) + 6*s(t). 7*t - 20 Let u(p) = -5*p + 10. Let r(c) = 9*c - 16. Calculate -3*r(v) - 5*u(v). -2*v - 2 Let l(n) = -3*n**2 - 27*n. Let p(y) = 4*y**2 + 27*y. What is -3*l(m) - 2*p(m)? m**2 + 27*m Let p(m) = -3*m**2 - 5*m - 12. Let t(h) = h**2 + 2*h + 6. Calculate 4*p(b) + 10*t(b). -2*b**2 + 12 Let b(s) = 4*s**2 + 4*s + 10. Let v(n) = 9*n**2 + 10*n + 19. Calculate 5*b(c) - 2*v(c). 2*c**2 + 12 Let s(x) = -x**3 + 7*x**2 - 61*x + 5. Let h(z) = -z**3 + 4*z**2 - 30*z + 3. Give 5*h(q) - 3*s(q). -2*q**3 - q**2 + 33*q Let a(x) = -28*x - 8. Let h(z) = 11*z + 3. Give 5*a(l) + 12*h(l). -8*l - 4 Let f(w) be the first derivative of w**3/3 - w**2/2 - w - 85. Let v(q) = 5*q**2 - 6*q - 4. Determine 4*f(j) - v(j). -j**2 + 2*j Let p(k) be the first derivative of 4*k**3/3 - 15*k**2/2 - 2*k + 8. Let c(a) = -11*a + 16. Let f be c(2). Let z(m) = 2*m**2 - 8*m - 1. What is f*p(w) + 11*z(w)? -2*w**2 + 2*w + 1 Let q(c) = 6*c - 5. Let l(r) = -1 + 341*r - 118*r + 7 - 118*r - 112*r. Calculate 3*l(j) + 4*q(j). 3*j - 2 Let b(j) be the third derivative of 17*j**4/8 - 13*j**3/6 + 517*j**2. Let u(a) = 13*a - 3. What is 2*b(y) - 9*u(y)? -15*y + 1 Let g(a) = 5*a**2 - 4 + 6 + 0. Let q(l) = 8*l**2 - 24. Let m(f) = 7*f**2 - 19. Let t(u) = 5*m(u) - 4*q(u). Give -5*g(v) + 8*t(v). -v**2 - 2 Let r(z) = -4*z**3 - 4*z - 1. Let x(v) = -11*v**3 - 11*v - 3. Let y(m) = -m**2 - 24*m - 91. Let t be y(-6). Give t*r(g) - 6*x(g). -2*g**3 - 2*g + 1 Let y(a) = 13*a + 531. Let s(z) = -7*z - 265. Calculate 11*s(l) + 6*y(l). l + 271 Let b(j) = -8*j**2 - 64*j - 1. Let c be b(-8). Let o(n) = n**3 - 4*n - 6. Let w(x) = -x**3 + x + 1. Give c*o(r) - 4*w(r). 3*r**3 + 2 Let u(z) = -z**2 - 2*z + 2. Let v(r) = 6*r**3 + 2*r + 1. Let f be v(-1). Let b = -1 + -8. Let m = b - f. Let s(k) = 3*k**2 + 5*k - 5. Give m*s(d) - 5*u(d). -d**2 Suppose 0 = 2*k + 3*k - 20. Let h(l) = -3 - k - 4 - 4*l + 1. Let z(p) = -p - 3. What is -6*h(t) + 20*z(t)? 4*t Let k(y) = -18*y**2 + 3*y. Let r(c) = 343*c**2 - 56*c. Calculate -56*k(m) - 3*r(m). -21*m**2 Let f(o) = 3*o**2 - 7. Let u(t) = -t**2 + 2. Give -6*f(i) - 17*u(i). -i**2 + 8 Suppose -2*j - 356 = 2*j. Let o = j + 82. Let p(w) = 7*w + 1. Let q(n) = -15*n - 2. What is o*p(y) - 3*q(y)? -4*y - 1 Let t = -24 + 15. Let d = 17 + -14. Let y be d*-1 - (t - -10). Let b(h) = 13*h**2 - 4*h - 2. Let f(j) = -6*j**2 + 2*j + 1. Calculate y*b(s) - 9*f(s). 2*s**2 - 2*s - 1 Let d(k) = 13*k**2 - 129*k - 6. Let v be d(10). Let c(u) = 4*u + 1. Let l(r) = 4*r + 1. What is v*c(w) - 3*l(w)? 4*w + 1 Let n(h) = h**3 - 2*h**2 - 2. Suppose 17*b = -21 - 13. Let z(f) = 5 + 8*f**3 - 14*f**3 + 5*f**3 + 5*f**2. Determine b*z(x) - 5*n(x). -3*x**3 Let c(r) = -97*r + 86*r + 13 - 10 + 5*r**2. Let m(i) = -2*i**2 + 4*i - 1. Calculate 3*c(l) + 8*m(l). -l**2 - l + 1 Let b(p) = -19*p**2 - 2*p - 24. Let d(j) = j**2 - 5. Calculate b(r) - 5*d(r). -24*r**2 - 2*r + 1 Let l(p) = -3*p**3 - 7*p**2 + 2. Suppose -108 + 348 = 60*m. Let w(c) = c**3 + c**2 - 1. What is m*w(s) + l(s)? s**3 - 3*s**2 - 2 Let v(t) = 337*t**3 - 10*t. Let k(r) = -341*r**3 + 9*r. What is 7*k(m) + 6*v(m)? -365*m**3 + 3*m Let h(d) = 6*d - 6 + 3*d + 2 + 5 - 2*d. Let a(y) = 57*y + 9. Calculate -4*a(p) + 33*h(p). 3*p - 3 Let u(o) = 58*o - 1. Let y(w) = -116*w + 2. Determine 5*u(g) + 2*y(g). 58*g - 1 Let m(v) = 23*v**2 + 26*v - 12. Let h(c) be the first derivative of 8*c**3/3 + 9*c**2/2 - 4*c - 471. Give -17*h(x) + 6*m(x). 2*x**2 + 3*x - 4 Let r(b) = -3*b**3 + b**2 - 6*b - 5. Let v(o) = 7*o**3 - 3*o**2 + 13*o + 11. Give -9*r(n) - 4*v(n). -n**3 + 3*n**2 + 2*n + 1 Let l be ((-78)/6)/(-1) - 8. Let d(n) be the second derivative of -7*n**3/6 - n**2 - n. Let p(u) = 6*u + 2. Determine l*p(v) + 4*d(v). 2*v + 2 Let z(p) = -184*p + 10. Let n(g) = -184*g + 8. Give 5*n(j) - 4*z(j). -184*j Let b(l) = l - 1. Let r = -229 - -234. Let g(u) = 2*u - 1. Give r*g(x) - 6*b(x). 4*x + 1 Let v(o) = 4*o**2 + 0*o**2 + 1 - 4 + 3*o + 3 - 1. Let a(p) = 3*p**2 + 2*p - 1. Determine -3*a(n) + 2*v(n). -n**2 + 1 Let v(s) = s**2 - s + 1. Let u(y) = 145*y**3 + 2*y**2 - 2*y + 4. Calculate u(m) - 2*v(m). 145*m**3 + 2 Let p(y) = -4*y**2 - 46*y - 5. Let s(z) = z**2 + 2*z + 1. Determine -p(f) - 5*s(f). -f**2 + 36*f Let i(k) = -3*k - 1. Let u(m) = -97*m**2 + 7*m. Calculate -i(t) - u(t). 97*t**2 - 4*t + 1 Let l(p) = -11*p**3 + 2*p**2 + 89*p + 7. Let t(h) = 5*h**3 - h**2 - 45*h - 3. Calculate -3*l(x) - 7*t(x). -2*x**3 + x**2 + 48*x Let m(w) = -3*w**3 - 2*w**2 + 2*w - 15. Let u(o) = -7*o**3 - 5*o**2 + 5*o - 31. What is -5*m(z) + 2*u(z)? z**3 + 13 Let
{ "pile_set_name": "DM Mathematics" }
hen u is divided by 1. 0 Let o be (11 + -2 + -1)/2. Suppose 3*m = -4*d - d + 33, -o*d = 4*m - 44. Suppose -5*j + 116 = m. What is the remainder when 61 is divided by j? 19 Let a(w) = 2*w + 1. Let b be a(6). Let t = -16 + 23. Let s = b - t. Calculate the remainder when 11 is divided by s. 5 What is the remainder when 17 is divided by (-7 - -3)*(-14)/8? 3 Let b = 86 - 36. Suppose 0 = -g + 5*c - 3, -g + 10 = -c - 3. Calculate the remainder when b is divided by g. 16 Let x(d) = -d**3 + 7*d**2 + 5*d + 4. Let b be x(5). Let l = b + -40. Suppose -5*a + l = t, -3*t + 35 = 4*a - 5. Calculate the remainder when 20 is divided by a. 6 Suppose -5*s - u + 74 = 0, -4*s + 56 = -3*u + 12. Let k be 3 - (-1)/2*0. Suppose k*t - 2*t = s. Calculate the remainder when t is divided by 8. 6 Let d(p) = -p**2 - p - 4. Let i be d(-4). What is the remainder when 15 is divided by ((-36)/16)/(6/i)? 3 Let i = 64 + -35. Calculate the remainder when i is divided by 16. 13 Suppose 0*w = 4*w - 220. What is the remainder when w is divided by 14? 13 Let c(u) = 7*u**2 + 2*u. What is the remainder when 19 is divided by c(-1)? 4 Suppose 0 = -x - x + 60. What is the remainder when 58 is divided by x? 28 Suppose 99 = 3*r - 0*r. Let h(t) = -5*t**2 + 3*t. Let s be h(3). Let g = 54 + s. Calculate the remainder when r is divided by g. 15 Suppose -2*i + 30 = 3*i. Let z be (2 - 82/(-4))*i. What is the remainder when 2/8 - z/(-4) is divided by 12? 10 Suppose u + 0*u = 3*c + 53, -5*u + 317 = -2*c. What is the remainder when u is divided by 33? 32 Let d = 4 + 1. Calculate the remainder when 9 is divided by d. 4 Let f(i) = -i**2 - 10*i - 12. Suppose 5*g = -5*x - 5, g - 8 - 3 = x. What is the remainder when (-22)/(-2*(-3)/x) is divided by f(-6)? 10 Let r = -45 + 75. What is the remainder when 146 is divided by r? 26 Let d(p) = 8*p + 1. What is the remainder when 24 is divided by d(1)? 6 Let m(i) = i**2 - 6*i - 8. Let o be m(7). Let k = -1 - o. Suppose z - 26 - 12 = k. What is the remainder when z is divided by 20? 18 Calculate the remainder when 89 is divided by (3 + 27)/(8/4). 14 Suppose 3*h + 5 = 5*c + h, -5*c = -h. What is the remainder when 2 is divided by 1 + (0 - (c + 1))? 0 Let n(m) = 3*m**3 - 4*m**2 + 2*m. What is the remainder when 130/(-4 + 9) + -4 is divided by n(2)? 10 Suppose 3*s + s - 25 = -3*k, 4*k + 5*s = 33. Let f(w) = -w**2 + 9*w + 12. Let o be 9*(2 + (1 - 2)). Calculate the remainder when f(o) is divided by k. 5 Let f = -1 - -4. Suppose f = 5*j - 52. Calculate the remainder when j is divided by 4. 3 Let j(i) = -i + 39. Calculate the remainder when 76 is divided by j(19). 16 Suppose -3*u = u. Let c = -39 - -57. Calculate the remainder when 1 - (-32 - u/3) is divided by c. 15 Suppose -5*y + 5*p - 3 + 23 = 0, 11 = 5*y + 4*p. Calculate the remainder when 4 is divided by y. 1 Let q = -258 - -130. Let k = 190 + q. Calculate the remainder when k is divided by 21. 20 What is the remainder when (42/8)/(15/10)*2 is divided by 5? 2 Suppose -z - 4 = -15. Let g = -6 + z. Calculate the remainder when 19 is divided by g. 4 Let s be 6/7*56/12. Suppose m + 7 = -2*p, -m + s*p + 18 = p. Suppose -2*n + 3 = 1. Calculate the remainder when m is divided by n. 0 Let f(d) = d**3 - d**2 - d - 15. Let m be f(0). Let n = m - -50. Calculate the remainder when n is divided by 12. 11 Let j = 1 - 0. Let c be (-2)/(-1)*(-1 - -2). Calculate the remainder when 32 is divided by ((-33)/(-6))/(j/c). 10 Suppose z + 2*z = 63. Let y = -180 + 126. Let f = -14 - y. What is the remainder when f is divided by z? 19 Suppose -4*r = 3*c - 58, 3*c + 54 = -3*r + 6*r. Calculate the remainder when r is divided by 9. 7 Let l(s) = s**3 - 18*s**2 + 21*s + 17. What is the remainder when l(17) is divided by 30? 25 Suppose -5*d - 3*x + 392 + 23 = 0, 4*d = -5*x + 332. What is the remainder when d is divided by 17? 15 Let g(f) = -25*f - 3. Calculate the remainder when g(-1) is divided by 12. 10 Suppose 18 = 5*o - 7. Calculate the remainder when 15 is divided by o. 0 What is the remainder when 25/2*(9 - -3) is divided by 38? 36 Let k(y) = -y**2 - 15*y - 45. What is the remainder when k(-9) is divided by 8? 1 What is the remainder when 37 is divided by (75/(-5))/((-3)/2)? 7 Suppose c - 3*l + 7 = 0, -c + 17 = -2*l + 5*l. Suppose -18 = -c*s - 3. Suppose 5*p + s = 43. What is the remainder when 22 is divided by p? 6 Suppose 4*y + 57 = -31. Let z = y - -56. Let d = 53 - z. What is the remainder when d is divided by 10? 9 Let h = -33 + 61. What is the remainder when h is divided by 10? 8 Let h = -26 + 41. Calculate the remainder when h is divided by 10. 5 Suppose -2*x - 3 = 3*l - 14, -4*l = 5*x - 10. Suppose 0 = -u - l + 8. Suppose u*t + 2*t = 250. What is the remainder when t is divided by 17? 16 Suppose 55 = 4*z + 4*o + 23, 0 = 2*z - 2*o - 4. Calculate the remainder when 17 is divided by z. 2 Suppose 0 = -5*s - 228 + 638. What is the remainder when s is divided by 21? 19 Let x = 21 - 7. What is the remainder when 41 is divided by x? 13 Let u be -1*(93 - (3 - 1)). What is the remainder when u/(-21)*(4 - 1) is divided by 5? 3 Let r = -23 + 2. What is the remainder when (18/r)/(1/(-21)) is divided by 51/5 - 2/10? 8 Let a = 13 - -5. Calculate the remainder when 69 is divided by a. 15 Let x = -5 - -7. Suppose 0*g - x*g + 8 = 0. Suppose -4*f + g*b + 20 = -0*b, f + 2*b + 4 = 0. What is the remainder when 2 is divided by f? 0 Let l(r) = r**2 + r. Let w be l(-5). Let p = w - 6. Let t(g) = g**3 + 5*g**2 - 6*g - 3. Calculate the remainder when t(-5) is divided by p. 13 Let i(n) = -n**2 - 18*n - 35. Calculate the remainder when 178 is divided by i(-8). 43 Suppose 0 = -x + 34 + 26. Calculate the remainder when x is divided by 22. 16 Let i(h) = -h**3 - 5*h**2 - 2*h - 6. What is the remainder when i(-5) is divided by 2? 0 Let m = -42 + 67. Suppose 6*l = l + m. Suppose 0 = -5*y + 10 + l. What is the remainder when 7 is divided by y? 1 Let l = 37 - 20. Calculate the remainder when 42 is divided by l. 8 Let k = -1 - 0. Let o(y) = y**2. Calculate the remainder when 6/(-27) + 11/9 is divided by o(k). 0 Let i be 0/1 - (1 - 3). Let w be 0/i - 0 - 3. Let m(k) = k**3 + 3*k**2 - 3*k. What is the remainder when 16 is divided by m(w)? 7 Let w(y) = 5*y**2 - 15*y + 13. Calculate the remainder when w(5) is divided by 6. 3 Suppose -2*i - 4*y = -y - 11, 5*y - 9 = -2*i. What is the remainder when 27 is divided by i? 6 Let w = 70 + -45. Let m = w - 12. What is the remainder when 38 is divided by m? 12 Let i(q) = 2*q + 7*q**2 + 6*q**2 + 12*q**2 + 2. What is the remainder when i(-2) is divided by 25? 23 Suppose 2*d = 3*d + l - 5, 22 = 3*d - 4*l. Calculate the remainder when 21 is divided by d. 3 Suppose 4*y - 5 = -y. Suppose -l + y = -1. What is the remainder when (-22)/(-5) - 4/10 is divided by l? 0 Suppose 5*u - 5*o = 230, -2*o + 3*o - 169 = -4*u. What is the remainder when u is divided by 11? 10 What is the remainder when -1*(-2)/8 - 309/(-12) is divided by 9? 8 Let t(l) = -l - 4. Let s be t(-10). Suppose 0 = -2*p - 4*v, -p - 6 - s = -2*v. Calculate the remainder when 7 is divided by 3/(p/4) + 5. 1 Let v be 2/4*-4 + -79. Let z be (-5)/((-60)/v)*4. What is the remainder when 26 is divided by 158/18 - 6/z? 8 Suppose 2*l - 12 = 3*l. What is the remainder when 29 is divided by (l/10)/((-42)/280)? 5 Let x(n) = n**2 - 6*n + 38. Calculate the remainder when x(0) is divided by 7. 3 Suppose -4*l + 3*b + 1 + 55 = 0, -53 = -3*l + 5*b. What is the remainder when l is divided by 5? 1 Let k be 10/(-35) - 443/(-7). Let x = k + -18. Calculate the remainder when x is divided by 12. 9 Suppose -26 = -3*b - 2*t + 44, t = -4. Calculate the remainder when 128 is divided by b. 24 Suppose -f + 2*f = 42. Let j(p) = p**3 - p**2 + 15. What is the remainder when f is divided by j(0)? 12 Let q(z) = z**3 + 14*z**2 - 18*z - 10. Calculate the remainder when q(-15) is divided by 20. 15 Calculate the remainder when ((-860)/35)/(2/(-7)) is divided by 30. 26 Let d(q) = -3*q - 2. Let r = -2 - -2. Suppose r = 5*x - 0*x - 90. What is the remainder when x is divided by d(-4)? 8 Let z(g) = g**3 - 4*g**2 - 10*g + 9. What is the remainder when 81 is divided by z(6)? 18 Let m(k) = -k**3 - 4*k**2 - 4*k + 1. Let c be (21/(-6) + 2)*2. Calculate the remainder when 11 is divided by m(c). 3 Let u(r) = -r**3 + 5*r**2 -
{ "pile_set_name": "DM Mathematics" }
16 = -351*v + 353*v for v. 8 Solve -53*g - 99 = -20*g for g. -3 Solve 6*b + 9 = 21 for b. 2 Solve 51*h + 112 = 65*h for h. 8 Solve 32 = -3*x + 38 for x. 2 Solve 331*o = 333*o + 8 for o. -4 Solve -21 = -2*l - 19 for l. 1 Solve 9*k = -5 - 4 for k. -1 Solve -580*i + 28 = -573*i for i. 4 Solve 34*m = 291 - 87 for m. 6 Solve 25*i - 34*i = 45 for i. -5 Solve -187 + 55 = -44*o for o. 3 Solve 105*b - 10 = 95*b for b. 1 Solve 0 = -4*v + 2 - 10 for v. -2 Solve -t = -2 + 8 for t. -6 Solve 0 = -22*d - 248 + 50 for d. -9 Solve -p + 3 = -0*p for p. 3 Solve 16*f - 9 - 87 = 0 for f. 6 Solve -123*s + 55 = -112*s for s. 5 Solve 38*y - 30 = 44*y for y. -5 Solve 408*g - 353*g = 550 for g. 10 Solve -5*x + 72 = 77 for x. -1 Solve -10*i = -3*i for i. 0 Solve 2*v + 10*v = -12 for v. -1 Solve -31 = 24*o - 151 for o. 5 Solve 0 = 6*c - 144 + 156 for c. -2 Solve -40*k = -41*k - 2 for k. -2 Solve -18*m - 84 = 3*m for m. -4 Solve -20*m + 4*m = 80 for m. -5 Solve 8*l + 32 = -16 for l. -6 Solve 0 = -4*q - 17 + 5 for q. -3 Solve 59*l - 24 = 67*l for l. -3 Solve 0 = -126*c + 36*c + 450 for c. 5 Solve -2*a = -8*a + 12 for a. 2 Solve 304 = d + 305 for d. -1 Solve 7*p - 4*p = 12 for p. 4 Solve 817*g - 128 = 833*g for g. -8 Solve -4*v - 8 = -2*v for v. -4 Solve -37*s = -43*s + 24 for s. 4 Solve 12*d - 554 = -602 for d. -4 Solve 8*x + 0*x = 6*x for x. 0 Solve -53 - 127 = -30*i for i. 6 Solve -4*s + 138 = 166 for s. -7 Solve 44*q - 40*q = 20 for q. 5 Solve 29*d = 67*d - 22*d for d. 0 Solve 62*z + 616 = 58 for z. -9 Solve 14*i = 9*i + 15 for i. 3 Solve -22 = 10*g + 38 for g. -6 Solve -40*j - 163 + 563 = 0 for j. 10 Solve -207*u - 12 = -211*u for u. 3 Solve -18*c + 28 = -11*c for c. 4 Solve 0 = -0*l - 10*l + 30 for l. 3 Solve -3*r = -0 + 12 for r. -4 Solve 0 = -11*o + 426 - 393 for o. 3 Solve 737 = 11*r + 825 for r. -8 Solve 100 = 4*q + 120 for q. -5 Solve -9*o + 117 = 30*o for o. 3 Solve -39*r - 10 = -34*r for r. -2 Solve -33*k + 30 = -36 for k. 2 Solve 11*m = 9*m - 9*m for m. 0 Solve -15 + 41 = 26*q for q. 1 Solve -10013*y + 90 = -10003*y for y. 9 Solve 0 = -5*i - 64 + 54 for i. -2 Solve 0 = 34*s - 30*s - 12 for s. 3 Solve -403 + 283 = -12*z for z. 10 Solve 23*y = 14*y + 45 for y. 5 Solve 0 = 9*v - 41*v - 32 for v. -1 Solve 4*b - 4715 = -4687 for b. 7 Solve 0 = -11*g - 10 - 34 for g. -4 Solve 14*j + 6 = 11*j for j. -2 Solve -55*n + 39*n - 16 = 0 for n. -1 Solve -3*k = -205 + 214 for k. -3 Solve -5*i + 7*i = -2 for i. -1 Solve 2*f + 5*f = 0 for f. 0 Solve -70*q = -67*q - 12 for q. 4 Solve -2*r + 2 = -0 for r. 1 Solve 53 = 22*m - 35 for m. 4 Solve -27*r + 18 = -33*r for r. -3 Solve 0 = -q + 41 - 43 for q. -2 Solve -37 = 7*z - 2 for z. -5 Solve -16*y + 22*y = 18 for y. 3 Solve 0 = -5*c + 25 - 15 for c. 2 Solve 138 - 228 = -15*u for u. 6 Solve 0 = b + 52 - 53 for b. 1 Solve 14*k + 3991 = 4131 for k. 10 Solve 9*m - 2 - 7 = 0 for m. 1 Solve -31*v + 51 = -14*v for v. 3 Solve 8*q = -6*q - 84 for q. -6 Solve 0 = 2*v + 301 - 311 for v. 5 Solve -67 = -10*y + 23 for y. 9 Solve 0 = -10*b - 3 + 53 for b. 5 Solve 7*b = -17*b + 72 for b. 3 Solve 0 = 26*q - 46 - 136 for q. 7 Solve 10*q - 11*q = 0 for q. 0 Solve -14*m + 560 = -70*m for m. -10 Solve 159*p = 21*p - 966 for p. -7 Solve 0 = 27*z + 77 + 31 for z. -4 Solve 43*k - 19*k = 192 for k. 8 Solve 0 = -3*c - c + 12 for c. 3 Solve -2*t + 19*t = 51 for t. 3 Solve 27 = 4*k + 51 for k. -6 Solve -20 = 11*u + 13 for u. -3 Solve 2*s = 5*s + 15 for s. -5 Solve -9*s + 27*s - 13*s = 0 for s. 0 Solve -1 = -5*o - 6 for o. -1 Solve -101*c - 84 = -122*c for c. 4 Solve 5 - 7 = y for y. -2 Solve 8*l + 14 = -6*l for l. -1 Solve -5*j = j for j. 0 Solve 3*u = 8*u + 30 for u. -6 Solve 2*h - 11*h = 21*h for h. 0 Solve 0*i - 4 = -4*i for i. 1 Solve -334 + 294 = -8*m for m. 5 Solve 0 = 7*y + 9 + 33 for y. -6 Solve 37*d = -82 + 267 for d. 5 Solve -5*m - 2 = -27 for m. 5 Solve -49*k = 125 + 120 for k. -5 Solve -68*w + 36*w = -31*w for w. 0 Solve -f + 41 = 42 for f. -1 Solve -10*o - 16*o + 130 = 0 for o. 5 Solve -12 + 40 = 7*d for d. 4 Solve 0 = 855*i - 876*i + 126 for i. 6 Solve -70*c = 71 - 211 for c. 2 Solve 32*g + 105 = -23 for g. -4 Solve -7 + 272 = 53*j for j. 5 Solve -5*p + 567 - 537 = 0 for p. 6 Solve -2636*f = -2644*f + 40 for f. 5 Solve 50*f - 52*f - 4 = 0 for f. -2 Solve 5*y + 9 = -1 for y. -2 Solve -10*l - 37 = 73 for l. -11 Solve 43*l + 130 = 69*l for l. 5 Solve -183 = -3*b - 198 for b. -5 Solve 0 = -5*q - 3*q - 9*q for q. 0 Solve 8*f + 105 = -7*f for f. -7 Solve -5*f - 2 - 8 = 0 for f. -2 Solve 0 = -3*g - 84 + 66 for g. -6 Solve 0 = 54*r - 464 + 140 for r. 6 Solve -23*y = -105 + 36 for y. 3 Solve -1 = -2*a + 7 for a. 4 Solve -150*c - 2 = -151*c for c. 2 Solve 6*a = 3*a + 6 for a. 2 Solve -5*h - 885 = -900 for h. 3 Solve 352*c + 9 = 355*c for c. 3 Solve 45 = -5*m + 25 for m. -4 Solve 11*k - 39 + 6 = 0 for k. 3 Solve -46*v - 325 = -95 for v. -5 Solve -152*v + 20 = -157*v for v. -4 Solve 3*i = i + 12 for i. 6 Solve -w - 11*w = 60 for w. -5 Solve g + 17 - 13 = 0 for g. -4 Solve 7*b - 28*b = -63 for b. 3 Solve 0 = -23*l - 0 - 92 for l. -4 Solve -28*a + 5*a = 0 for a. 0 Solve -126 - 15 = -47*v for v. 3 Solve 39 = -9*p + 3 for p. -4 Solve 5 = 377*s - 372*s for s. 1 Solve 0 = -o + 13 - 10 for o. 3 Solve -w - 1124 = -1119 for w. -5 Solve -12*d - 9*d + 21 = 0 for d. 1 Solve 2*o = -14*o for o. 0 Solve -8*f - 39 + 15 = 0 for f. -3 Solve 4*b + 4 = 4 for b. 0 Solve 30 + 75 = 15*l for l. 7 Solve 0 = -25*p + 4*p + 168 for p. 8 Solve 91 = -3*w + 85 for w. -2 Solve -12*i + 149 = 77 for i. 6 Solve -9*j - 34*j = -172 for j. 4 Solve 0 = -2*x + 4*x - 2 for x. 1 Solve 7*f - 95 = -102 for f. -1 Solve 34*p + 6*p = -240 for p. -6 Solve 9*p = 10*p - 2 for p. 2 Solve 10*w - 4 = 6*w for w. 1 Solve -19*a + 11*a = -24 for a. 3 Solve 0 = 3*g - 256 + 247 for g. 3 Solve -28*t = -37 + 9 for t. 1 Solve 1 = -2*j - 5 for j. -3 Solve -20 = -7*s - 13*s for s. 1 Solve 12 = -9*x + 6*x for x. -4 Solve -5 = 3*g + 1 for g. -2 Solve -52*o = -44*o + 24 for o. -3 Solve 0 = -3*o - 0*o for o. 0 Solve 381 - 413 = 8*f for f. -4 Solve -15 + 19 = -2*q for q. -2 Solve -63*s + 54*s = -45 for s. 5 Solve -29 + 15 = -14*w for w. 1 Solve -65 = -21*b - 128 for b. -3 Solve 35 - 49 = -7*c for c. 2 Solve -108*t = -114*t + 6 for t. 1 Solve 18*k - 12 = 30*k for k. -1 Solve 0 = -6*u + 3*u - 6 for u. -2 Solve 0 = -45*c + 6*c - 195 for c. -5 Solve 0 = -3*p + 6 - 0 for p. 2 Solve 16*m = 64 - 0 for m. 4 Solve 21*c = 20*c + 5 for c. 5 Solve -20*z = -21*z for z. 0 Solve -2*u + 24 = 26 for u. -1 Solve -5 = -9*v - 50 for v. -5 Solve -15 = -34*i + 29*i for i. 3 Solve 113 = 5*i + 83 for i. 6 Solve -8*t + 14 = -2 for t. 2 Solve 25*i = 29*i - 16 for i. 4 Solve -40 = -5*v - 30 for v. 2 Solve 8 = 108*t - 110*t for t. -4 Solve -40 + 52 = -3*m for m. -4 Solve -26*j = 7 + 123 for j. -5 Solve -5*l = -2 - 23 for l. 5 Solve 657*i - 670*i - 52 = 0 for i. -4 Solve -17*c = 29 + 39 for c. -4 Solve -4*j + 71 = 67 for j. 1 Solve -32 = 2*l - 18*l for l. 2 Solve 0 = -63*y - 200 - 115 for y. -5 Solve -4*l = 60*l - 576 for l. 9 Solve -17 - 98 = 23*l for l. -5 Solve 2*b + 1 = 1 for b. 0 Solve -74 + 58 = -4*d for d. 4 Solve b - 12 = -5*b for b. 2 Solve -48 = 368*m - 380*m for m. 4 Solve 11*k - 30*k = 19 for k. -1 Solve -10 = 14*v - 24 for v. 1 Solve 16*c = 16 + 32 for c. 3 Solve -57*f + 72 = 243 for f. -3 Solve 3*j = -5*j + 8 for j. 1 Solve -6*j + 21 = 39 for j. -3 Solve -140 = 199*j - 171*j for j. -5 Solve -266 + 271 = -5*g for g. -1 Solve 11*s = -41 + 19 for s. -2 Solve 43*v = -18*v - 183 for v. -3 Solve -200 = -60*p + 85*p for p. -8 Solve -20*t = -4*t - 64 for t. 4 Solve -10*l - 4 = -14*l for l. 1 Solve -2*d = 1 + 7 for d. -4 Solve -86 - 29 = -23*n for n. 5 Solve 0 = -7*w + 21 - 0 for w. 3 Solve -141 = -15*n - 186 for n. -3 Solve -5*w + 67 = 47 for w. 4 Solve -2*c + 3*c - 4 = 0 for c. 4 Solve 105 = -46*p + 67*p for p. 5 Solve 0 = 214*x - 205*x + 45 for x. -5 Solve -4*f - 42 = 3*f for f. -6 Solve -26*f = -f - 100 for f. 4 Solve -167 = -20*c + 13 for c. 9 Solve -7*a + 79 - 51 = 0 for a. 4 Solve 2*l + 6 = -4 for l. -5 Solve 5 + 2 = 7*y for y. 1 Solve 0 = -187*h + 157*h - 240 for h. -8 Solve -s = 6 - 8 for s. 2 Solve -2*k - 2 = 8 for k. -5 Solve -73*j - 10 = -78*j for j. 2 Solve -2*v = 3*v for v. 0 Solve 22*k - 17*k = 10 for k. 2 Solve -200*g + 196*g -
{ "pile_set_name": "DM Mathematics" }
7? True Let o = 6757.42 + -6687. Let q = o + 1.58. Let x = q + -71.97. Is x less than or equal to 3/7? True Let l be (-15 + -9)*(-1)/2. Suppose 34*v - 30*v - l = 0. Let a be 534/18 + (-1)/v. Is 29 smaller than a? True Let x = 2244 + -2245. Which is bigger: -3579 or x? x Let v = -3328 + 3353. Is 12 > v? False Let w be ((-270)/14)/3 + (-4)/7. Let m(j) = -j**2 - 10*j - 7. Let h be m(-9). Are w and h non-equal? True Let p = 470 + -1151. Let l = 398 + p. Do 1/2 and l have the same value? False Suppose -k = -4*o + 1842, -k + 12 = -5*o + 1851. Are -1853 and k equal? False Suppose 35*f = 23*f + 12. Suppose -5*v + 3*h + f = -403, 2*v + 5*h - 174 = 0. Let d = 85 - v. Which is smaller: 1 or d? 1 Let o(f) = -74*f + 75. Let a be o(1). Is a at least 11/287? True Let l(i) = 23*i**2 - 37*i + 2. Let n be l(-2). Let u be (((-22352)/n)/11)/(2/(-6)). Is u at least as big as 37? False Let w = -4 + 3. Let d(t) = -3*t**3 - 2*t**2 + 2*t - 6. Let j be d(-6). Let m be (-315)/j + (-3)/(-6). Is w != m? True Suppose 0 = 4*q + 5*v - 15, 3*q - 2*q - 5 = -v. Let h be (-12 - -11 - q/(-6))/(-46). Which is bigger: h or -0.1? h Suppose p + 14 = 5*g - 31, -5*p + 4*g = 120. Suppose -i - 19 = -5*c, -6*c + 5*c + i = -7. Suppose -d + 3*n - 15 = 0, c*d - 4*d - 5*n - 31 = 0. Is d at most p? True Let w = 15553 - 15554. Do w and 53/137 have the same value? False Let u be ((-15)/5)/(9/(-6) - -3). Let a(d) = 4*d + 1. Let m be a(u). Are -5 and m equal? False Suppose -4*o + 4169 = 7*o. Let h = -275 + o. Which is smaller: 316/3 or h? h Let d be (-160)/24*-19*46/(-10925). Let j = -3 - -2. Which is smaller: d or j? j Let q = 3256 + -3510. Is -253 equal to q? False Let i = -15076 + 18989. Which is smaller: 3912 or i? 3912 Let t = 13 - 8. Suppose -2*l = -u - 4*l + 3, -t*l + 15 = 0. Let d be (-20)/(-192)*-3*u/60. Which is bigger: d or 0? d Suppose -5*b - 37 - 33 = 0. Let k = -11 - b. Suppose q - k*i = i + 15, 0 = -2*q - 5*i - 9. Is 2 at least as big as q? False Let x = -0.1 - -8.1. Let r = -8 + x. Let h = -0.12672 + -0.01328. Which is greater: h or r? r Let l = -75.67607 + -0.23293. Let p = l + 76. Which is smaller: 2 or p? p Let c = -48395/9 - -5377. Which is smaller: c or 21/26? c Let l be 5 + -1 - 0 - -18. Let x(q) = -q + 23. Suppose 5*c + 2 = m, -m - 3*m + 8 = c. Let j be x(c). Which is smaller: j or l? l Let t = 1.191 - 0.591. Is 13/7 <= t? False Let c = 67 - 102.1. Let z = -35 - c. Which is smaller: z or 1/15? 1/15 Let f(y) = -157*y + 2609. Let w be f(17). Let q(z) = 14*z + 7. Let p be q(-6). Let n = w - p. Which is smaller: n or 18? n Let h = -9361 - -74410591/7949. Which is smaller: h or -1? -1 Let q = -18.874 + 19.874. Is 4355 smaller than q? False Let p be 261 + ((-60)/5)/(-3) + 1. Let m = -1871/7 + p. Which is bigger: 0 or m? 0 Let s = -11770 + 11811. Which is greater: s or 32? s Suppose -d = z + 59 + 39, -4*d = -4*z - 360. Let l = z - -59. Is l not equal to -36? True Let y = -18 + 30. Suppose 4*g - 260 = -92. Suppose -57*p + 60*p = g. Are y and p unequal? True Let u be (-3763)/(-142) + (-171)/(-38). Let a = -8 + 17. Let k be 291/a - (-2)/(-6). Is u greater than k? False Suppose 0 = 23*y - 574 + 551. Is y at least -3518? True Let n(v) = 38*v**2 - 68*v**2 + 35*v**2 + 51*v + 10. Let u be n(-10). Are u and -2/25 nonequal? True Let w = 10373/244 + -8695651/206668. Let h be 3*(-1)/(-99)*12/(-44). Let x = w + h. Are 2/15 and x unequal? True Suppose -2*u + 200 = 6*u. Suppose 3*z = -2*z + u, -30 = 5*p + z. Is -33/4 smaller than p? True Let b = 589 + -572. Suppose 26 - b = -9*c. Let t be 16 - (2 + 0) - -1. Is t smaller than c? False Suppose a + 0*v - 3*v = 20, 4*a - 4*v = 40. Let s = -94 - -98. Let o be (6/(-5))/((-21)/a + s). Which is smaller: 29/5 or o? 29/5 Let q(d) = -d**2 - 4*d + 6. Let w be q(4). Let r = -32643/2 - -16295. Which is smaller: w or r? r Let t be 1 + 0 + 1 - -11. Suppose -218*h + 222*h + 560 = 0. Let a = 149 + h. Is a less than t? True Suppose -4*v + h - 3199 = 0, 3*h = v + 1111 - 314. Let j be ((-16)/v)/(1/(-6)). Let c = 32 + -31. Which is bigger: c or j? c Let u = -9154 + 9156. Let j be (5/15)/((-4)/3). Which is bigger: j or u? u Let g = 110186/1989 + -720/13. Let w(x) = -4*x + 4. Let b be w(1). Which is greater: b or g? g Suppose 0 = -8*f - 8 - 0. Let y be (-6 + 5 + 1)/f. Which is greater: 3/166 or y? 3/166 Let w = 181 - 79. Let j be (4/8)/((-1)/202). Let s = w + j. Which is smaller: 2/11 or s? 2/11 Suppose 4*u - 784 = 3*i, -u - 15*i = -18*i - 196. Let a = 159 - u. Do a and -35 have different values? True Suppose -5*c - 5 = 0, 50*f - 1020 = 49*f - c. Does f = 1018? False Let g be (32/6 - 2)*192/128. Suppose 0 = 5*u - a - 68, -g*u - 2*a - 19 + 93 = 0. Is 19 at most as big as u? False Let z = 1921/7620 + -4/1905. Is -4/5 at most z? True Let a be 12278/(-143304) + 7/84. Is 0.03 equal to a? False Suppose -2*i + 2*x = -4*i + 12, 2 = i + 3*x. Let q(p) = -12*p - 6*p**3 - 11*p**3 - 9 - i*p**3 + 24*p**3 - 4*p**2. Let b be q(-5). Are 76 and b unequal? False Let p = 69 + -158. Let o = p - -268/3. Suppose 0 = 2*c + 3*k - 4, 3*k = 6. Is c smaller than o? True Let c = 76.871 + 0.129. Let q = -0.0422 - 0.2578. Which is bigger: q or c? c Suppose -35*x + 29*x + 58 = 52*x. Which is smaller: 5/4614 or x? 5/4614 Let d = -2232 - -2233.249. Let v = 1.34 - d. Let c = -0.031 + v. Which is smaller: 0 or c? 0 Let a(k) = -k**3 + k**2 + 11*k + 5. Suppose 0 = 3*r - d - 2, 4*d + 8 = -7*r + 4*r. Let n be a(r). Which is bigger: n or 2? n Suppose 13*u + 36 = 140. Suppose 9*s = -u*s - 17. Which is greater: 8/33 or s? 8/33 Suppose 46*r - 5 = -51. Let k be (-2 + 1)*6/43. Which is greater: r or k? k Let d = -242 - -244. Suppose -6*x + 7*x + d = -2*r, 3 = 3*r + 3*x. Which is smaller: r or -50? -50 Suppose 74 - 74 = 114*m. Is m less than -0.0026? False Let c = 188 + -92. Let j be (-2)/4*c/(-66). Suppose -6*y + 2*s = -2*y + 2, -3 = -4*y - 3*s. Which is smaller: y or j? y Let b(p) = p**3 - 20*p**2 + 20*p - 16. Let d be b(19). Suppose 0*o - 4*o - 12 = -5*w, d*w - 4*o = 12. Which is greater: w or -6/13? w Suppose 3*f + 5369 = 6698. Is f smaller than 442? False Let f = 90 + -4. Suppose -5*l + 7*l = 5*h - 222, l + 111 = -3*h. Let n = f + l. Is -25 != n? False Let f = -4322 + 4322.8. Which is smaller: f or -75? -75 Let h be -5*(768/315 - 2). Let f = 16/21 + h. Is -2 less than or equal to f? True Let p = -2663.08 - -2653.08. Suppose j + 4*t = 14, -t + 3*t = 4. Let o be (j/(-4))/((-54)/(-8)). Are p and o equal? False Let c = 215692/3 - 73502. Let d = c - -1622. Is 17 at most as big as d? True Suppose -4*o + 96 = -2*o - 4*b, -5*b = 5. Suppose -2*u + 5*x = u - 19, -5*u + 4*x + 10 = 0. Let h be 368/(-12)*3/u. Is o at least as big as h? True Suppose -17 + 27 = -z - 2*g, -3*z + 6 = -3*g. Let n be 1 + (0/z)/(19 - 18). Which is greater: 2/1211 or n? n Suppose 714603 = -6*j - 187*j - 168758. Is -4575 < j? False Suppose -4*c = -6*c + 5*g - 10, 4*g = -2*c + 8. Let n be ((-1140)/2550)/19*5/(-9). Which is greater: n or c? n Let b = 177.9 - 30.9. Let c = -419 + b. Is c at most -0.1? True Let r be (-1 - -3)/(-13 + 2). Let v = -331.965664 - 0.044336. Let o = -332 - v. Which is greater: r or o? o Let r = 148 - 145. Suppose -2*a - r*f = 4, 5*f = 10*f + 20. Let x be (-10)/12*(-9)/2. Which is smaller: x or a? x Suppose -76463 = 45*i + 43732. Is -2672 not equal to i? True Suppose 4*o + 3*u + 252 = 0, -2*o + 2*u - 3*u - 126 = 0. Let w = o - -313/5. Suppose -7*c = -6*c. Is w less than c? True Let m = 688/3 - 242173/1056. Let k = m + 667/13024. Is k greater than -1? True Let g = 1691/9735 - 143/885. Suppose 2*p - 8 = 6*p + 2*c, -3*p = -c - 4. Which is smaller: p or g? p Let i = -2632/101397 - 2/1389. Suppose -180*x - 182*x = -79*x + 283. Is i >= x? True Suppose 4*f + 178 - 158 = -4*b, -11*f = -b + 7. Which is bigger: -24.6 or b? b Let d = 89.3 - 98.5. Let p = 0.18 + 2.32. Let v = p - 2.4. Is v greater than or equal to d? True Let a = 3.131 - 48.031. Let x = 0.008 + 44.992. Let p = a + x. Does p = 0.07? False Let h be 364/3 + (-28)/21. Do h and 117 have different values? True Suppose -27*k + 20 = -22*k. Suppose -g - c = k*c + 52, 0 = -g - 3*c - 44. Let u = g - -32. Is u less than -6/23? False Let o = -5904 - -5904. Which is smaller: -88/93 or o? -88/93 Suppose -3*i = 27, -4*q - 1171 = -23*i + 26*i. Do -27 and q have different values? True
{ "pile_set_name": "DM Mathematics" }
t to 0 in -2/25, 2/19, 0? 0 What is the nearest to 0.002 in 3/2, 0, -4, 0.2? 0 What is the closest to -0.03 in 1/6, -2, -1/2? 1/6 Which is the closest to 1? (a) 0.1 (b) 5 (c) 0.3 (d) -2 c Which is the closest to 1? (a) 0.5 (b) -43 (c) -0.4 (d) -34 a Which is the nearest to -3? (a) -3/5 (b) 0.4 (c) -5 c Which is the nearest to -1/2? (a) 4/7 (b) -0.1 (c) 0.07 (d) 2/49 b Which is the nearest to 6/11? (a) 0.4 (b) 4 (c) 0.1 (d) -2/41 a Which is the closest to 0.2? (a) -1 (b) 0 (c) -0.135 b Which is the nearest to -36? (a) -4/5 (b) -5 (c) -0.4 b What is the closest to -0.3 in 20, 4/7, 2, 0.1? 0.1 Which is the nearest to -8/5? (a) 2/15 (b) -5 (c) 5/6 a What is the nearest to 36 in 3, -3, 2, 0.3? 3 What is the nearest to 1 in -3, 2/5, 143? 2/5 What is the closest to -2 in 2/9, 3, 1/10? 1/10 What is the nearest to 1/2 in -0.3, 12, 7? -0.3 What is the closest to 0.1 in -3, -42, -1, -2? -1 Which is the closest to -3.8? (a) -4 (b) 0.04 (c) 7 a What is the closest to 1 in 3, 30, 0.12? 0.12 What is the closest to -0.1 in -0.02, 0, -4, -110.5? -0.02 Which is the closest to 1/12? (a) 0 (b) 13 (c) -0.3 a What is the nearest to -1 in 0, -0.48, 3? -0.48 Which is the nearest to -0.1? (a) -3 (b) -3/7 (c) 2/9 (d) 0.12 d Which is the nearest to -5? (a) -0.08 (b) -1/3 (c) -2 (d) -3/4 c What is the nearest to -0.1 in -0.062, 1/5, 0.4? -0.062 What is the closest to -0.079 in 0, -3, 1/5? 0 Which is the nearest to -21? (a) 34/13 (b) -3 (c) -0.5 (d) -0.2 b Which is the nearest to 0.2? (a) -3/8 (b) -2 (c) -0.1 (d) 1 c What is the closest to 0 in 3/2, 2/15, -1790, -0.4? 2/15 Which is the closest to 0? (a) -2/5 (b) 2 (c) -0.17 (d) -5 c What is the closest to 0 in 4, -231, -5? 4 What is the nearest to -2 in 3, 1/2, -4, -0.18? -0.18 Which is the nearest to 1? (a) 1/3 (b) 28/3 (c) 21 a What is the closest to 2/7 in 2/3, -3, 5? 2/3 Which is the closest to 583? (a) -0.5 (b) 0.4 (c) 0 b What is the closest to -2 in 1/4, 2, 0.5, -19? 1/4 Which is the closest to 1? (a) -3 (b) -129 (c) -0.5 (d) -2/21 d What is the closest to -4 in 3, 4, 0.3, -0.4? -0.4 What is the nearest to 3/23 in -2/9, 1/6, -0.5, -1? 1/6 Which is the closest to 2? (a) -37 (b) 18 (c) -4 c Which is the nearest to 0.1? (a) -3/11 (b) -2/13 (c) 1/4 (d) 0 d Which is the nearest to 16? (a) -0.037 (b) -2/5 (c) 0.4 c What is the closest to 2/7 in 0.49, -3, -29.3? 0.49 Which is the closest to -0.2? (a) -16/7 (b) -0.3 (c) 52 b Which is the nearest to -2? (a) -0.5 (b) -0.05 (c) 2 (d) -8 a Which is the closest to 0.2? (a) -2/5 (b) 9 (c) 5 (d) -0.6 a What is the closest to 2 in -1, -6/7, 29/3, 1? 1 Which is the closest to 1? (a) 9 (b) -0.3 (c) -5 (d) -3 b Which is the nearest to 0.25? (a) -2 (b) 2/5 (c) -1/14 b Which is the nearest to -1/4? (a) 1 (b) -2/29 (c) -1/5 (d) -3 c Which is the closest to 0? (a) 0.03 (b) 4/27 (c) 5 a Which is the closest to 1? (a) 0.7 (b) -0.3 (c) -1 (d) 0.409 a Which is the closest to -1/2? (a) -5 (b) 0.836 (c) -0.07 c Which is the closest to 0.3? (a) 3 (b) -5 (c) -1/2 (d) -7 c What is the closest to -2/3 in 3/10, 5, -1/7, 0.2? -1/7 Which is the nearest to 3/7? (a) 0.4 (b) 0.01 (c) -4 a What is the nearest to 5 in 2.2, 53, 2/3? 2.2 Which is the nearest to -0.091? (a) 2 (b) -0.02 (c) -1 b Which is the nearest to 4/3? (a) 0 (b) -0.5 (c) 1/3 c Which is the closest to 3/4? (a) -1 (b) 0.06 (c) 2 b What is the closest to 0 in -2, -9, -0.18? -0.18 What is the nearest to 2/9 in 4/3, 0.06, -5? 0.06 What is the nearest to 0.02 in 0.1, -0.3, -2/9, 1/4? 0.1 Which is the closest to 4? (a) 42 (b) 3/2 (c) 2 (d) 5 d Which is the closest to -0.1? (a) -56 (b) -3/8 (c) -0.1 (d) 0.33 c Which is the closest to -7? (a) 1 (b) -3/4 (c) 0.2 (d) -3 d Which is the closest to -2? (a) -1/4 (b) -2/5 (c) -5 (d) 0.9 b What is the nearest to 5.2 in 0.3, 0.1, -2/5, 2? 2 Which is the nearest to 0.3? (a) -1/2 (b) -0.1 (c) -4 (d) -1 b Which is the nearest to 0? (a) -0.04 (b) -2/9 (c) -3 (d) -5/3 a What is the nearest to -1 in 5.1, -17, -0.1? -0.1 What is the nearest to -0.1 in 4/7, 5, 1/5, -2/13? -2/13 What is the nearest to -1/4 in 9, 0.3, -0.5, -2? -0.5 Which is the closest to -10? (a) 6 (b) 5 (c) -0.1 (d) 2 c Which is the nearest to -2/7? (a) -2/13 (b) -26 (c) -3 a Which is the closest to -2/7? (a) -99 (b) 1 (c) -1 c What is the nearest to 1 in 0.4, -5, 4, -29? 0.4 Which is the nearest to 1? (a) 1 (b) 2/7 (c) -2/17 a Which is the closest to 0? (a) -2/23 (b) -4 (c) -0.2 (d) 5 a What is the nearest to 3 in -3, 26, 0.1, 0.3? 0.3 Which is the closest to 2/3? (a) 0 (b) -1/3 (c) -5 (d) -2/5 a What is the nearest to -0.1 in -2, -1/22, -1? -1/22 What is the nearest to -1 in -0.5, -1, 4/3, 0.084? -1 What is the nearest to 0 in 1, 3, 46? 1 What is the nearest to 0 in 4/7, 0.08, -2, 8/7? 0.08 Which is the closest to 0.9? (a) -4 (b) 3 (c) 0.2 (d) -3 c What is the closest to -0.1 in 1, -23/5, -0.4, -8? -0.4 What is the closest to -3 in -0.8, 3, -0.1? -0.8 Which is the closest to -41? (a) -3 (b) 4 (c) -4/3 a What is the closest to 0.1 in -1/3, -9, 1? -1/3 Which is the nearest to 0? (a) 0.07 (b) 4/5 (c) 2/3 (d) 0.3 a What is the nearest to -3 in -1/7, -1/3, -2, 5? -2 What is the nearest to 0.1 in -3/10, -1, 7.6? -3/10 Which is the nearest to 0.1? (a) 1/2 (b) 2.6 (c) -4 (d) -1 a Which is the nearest to -2/23? (a) 0.08 (b) -6/7 (c) -3 (d) -2/5 a What is the nearest to 13/3 in 1.9, -1, -0.4? 1.9 Which is the nearest to -2? (a) 0.3 (b) 3 (c) -1/140 (d) 0 c What is the nearest to -0.5 in -1/3, 0, 4/3? -1/3 What is the nearest to -1154 in -3, -1/5, 1.7? -3 What is the closest to 3 in 1/6, 0.5, 3/4, 2/23? 3/4 Which is the nearest to 0? (a) 37 (b) 0.2 (c) 2/5 (d) 1 b Which is the nearest to -1? (a) -2 (b) -3/4 (c) -0.4 b Which is the nearest to 1? (a) -1 (b) -18 (c) 0.3 c Which is the nearest to -6/5? (a) 2/1111 (b) -1 (c) -5 (d) 4 b What is the nearest to 4 in 1, -21, 3/4, -4? 1 What is the nearest to -956 in 1, 4/7, 3, 2/7? 2/7 Which is the closest to 2/7? (a) 4 (b) 2/13 (c) 61/4 b Which is the closest to 0.1? (a) -8/7 (b) -7/4 (c) 0.1 c What is the nearest to 0.1 in -2/9, -4, 1/5, 3? 1/5 What is the nearest to -2 in -2, -0.3, 1/6, 0.6? -2 Which is the closest to -1? (a) 0.2 (b) -4 (c) 1 (d) -1 d What is the nearest to 0.3 in -483, -2/15, -0.3? -2/15 What is the nearest to -1 in 140, 3, 11, -4? -4 What is the closest to -0.1 in -16/11, 3/5, -2/11? -2/11 Which is the closest to 2? (a) -1/7 (b) -1/10 (c) -2/15 b What is the nearest to 3 in 1, 2/31, 3? 3 Which is the closest to 1? (a) 0.5 (b) 1/27 (c) 0 (d) 1 d Which is the closest to -2/5? (a) 1/5 (b) 4 (c) -1.29 (d) -2/7 d Which is the closest to 0? (a) 2/7 (b) 1/3 (c) -19 a What is the nearest to 1.42 in 1/2, 8, 2/13? 1/2 Which is the closest to -0.2? (a) -3 (b) -0.5 (c) -18 (d) 1/11 d Which is the closest to 30/17? (a) 1/3 (b) 3 (c) 0.5 b Which is the nearest to -1? (a) 0 (b) 2 (c) 34 a Which is the closest to -1? (a) 2 (b) -5 (c) 1/7 (d) 1/6 c Which is the closest to -0.2? (a) 0.03 (b) -0.1 (c) 1.5 (d) -4 b Which is the nearest to -1/4? (a) -1 (b) -94.1 (c) 0.4 c What is the nearest to -1 in 37/4, 0, 0.2, -2/3? -2/3 Which is the nearest to 0? (a) 33 (b) -1/2 (c) 2/11 c What is the closest to -949/4 in -5/3, 0.4, 0? -5/3 What is the closest to -0.202 in 0.4, 5, -7/4? 0.4 What is the closest to -0.05 in 4, -0.5, 5/2? -0.5 Which is the closest to 4/3? (a) 1/6 (b) -2 (c) -5 (d) -1 a What is the closest to -1 in 4, 0.32, 0.081, 2/15? 0.081 Which is the closest to 1? (a) 5/3 (b) 3/2 (c) 4/5 (d) 8/7 d Which is the nearest to -0.4? (a) -1/4 (b) -18 (c) -1/2 c Which is the closest to 22? (a) -4 (b) 3/23 (c) 0 (d) -3 b What is the closest to 0.3 in 0, -5.5, -4/9, 1/3? 1/3 What is the closest to 0.1 in 5, -5, 0.19, -2? 0.19 What is the nearest to 1 in 72, -0.08, 0.05, 5? 0.05 Which is the closest to 0? (a) 50 (b) 4 (c) 0.5 c Which is the closest to -0.1? (a) -5.3 (b) -4 (c) 3 c Which is the closest to -0.1? (a) -0.38 (b) 4/7 (c) -4 (d) -0.3 d Which is the nearest to -112? (a) 0.06 (b) 0 (c) -2 c What is the closest to 0 in -2/21, -0.3
{ "pile_set_name": "DM Mathematics" }
6 + 16*h**2. What is n(k(j))? -12*j**2 Let c(y) = 3*y + 295. Let w(l) = 29*l**2. Determine c(w(d)). 87*d**2 + 295 Let p(j) = -124*j - 1. Let h(d) = 259*d**2. What is p(h(b))? -32116*b**2 - 1 Let i(j) = -141*j**2. Let y(s) = 6*s**2 + 20*s - 4. Let g(o) = -17*o**2 - 55*o + 11. Let u(v) = 4*g(v) + 11*y(v). Give i(u(h)). -564*h**4 Let a(r) = -r**2 + 332*r + 4. Let u(t) = -14*t. Calculate a(u(i)). -196*i**2 - 4648*i + 4 Let d(h) = -h. Let a(g) = 6*g + 10. Let k(s) = 3*s + 6. Let v = -20 + 23. Let r(u) = v*a(u) - 5*k(u). What is r(d(i))? -3*i Let q(c) = 12*c**2. Let n(y) = 9*y**2 - 1. Let g(d) = -2*d**2 + 1. Let t be (-2)/2 + 1 + (-5)/(-5). Let l(v) = t*n(v) + g(v). Give l(q(w)). 1008*w**4 Let z(n) = -56 - 52 + 108 + n. Let p(l) = 201*l. What is p(z(v))? 201*v Let l(z) = -608*z + 1210*z + 44*z**2 - 604*z. Let b(i) = -i**2. What is b(l(h))? -1936*h**4 + 176*h**3 - 4*h**2 Let m(q) = -2*q**2. Let c(v) = 35 + 41 + 37 - 113 - 144*v**2. What is m(c(y))? -41472*y**4 Let x(k) be the first derivative of 2*k**2 + 4*k**2 + 10 + 8. Let f(g) = -3*g**2. Give x(f(z)). -36*z**2 Let h = -10 - -14. Let x(s) = -3*s + h*s + s. Let o(z) = 13*z. Give o(x(l)). 26*l Let x be (1 - 16/(-1)) + 4. Let w = -26 + x. Let v(p) = p**2. Let a(s) = 4*s**2. Let q(o) = w*v(o) + a(o). Let f(r) = -3*r**2. Determine f(q(l)). -3*l**4 Let p = 1 - -7. Let y(c) = -25*c + 0*c - c - p*c. Let t(n) = -n**2. Determine t(y(a)). -1156*a**2 Let v(o) = 510*o. Let m(i) = -15*i**2. Calculate m(v(u)). -3901500*u**2 Let i(u) = 83*u**2 - 21*u**2 - 49 + 148*u**2 - 7. Let w(c) = 11*c**2 - 3. Let v(q) = -3*i(q) + 56*w(q). Let g(j) = -2*j + 0 + 0*j + 0. Determine g(v(o)). 28*o**2 Let v(l) = -l**2 + 35. Let b(f) = 14112*f. Calculate b(v(s)). -14112*s**2 + 493920 Let k(i) = 2*i. Let s(c) = -5304*c**2. Give s(k(j)). -21216*j**2 Let y(z) = 7*z**2. Suppose -19 = -3*k + 4*x, 5*k - 2*x = -x + 26. Let o(i) = 11*i - 3*i - k*i. Calculate o(y(p)). 21*p**2 Let c(t) = 13*t - 7*t - 12*t. Let g(d) = -11*d. What is g(c(l))? 66*l Let u(v) be the third derivative of -v**5/60 - v**2. Let j(o) be the second derivative of 0 + 0*o**3 - 1/12*o**4 + 0*o**2 + 4*o. Determine j(u(b)). -b**4 Let u(n) = 100*n. Let l(r) = -6*r**2 + 12*r - 12. Let d(m) = 2*m - 2. Let a(b) = -6*d(b) + l(b). Determine u(a(p)). -600*p**2 Let k(h) = -2*h**2. Let t(i) be the third derivative of -19*i**5/60 + 376*i**2. Give k(t(n)). -722*n**4 Let i(v) = 37896*v**2. Let r(f) = 3*f. Give r(i(g)). 113688*g**2 Let y(m) = -4*m. Let j(u) = -4*u**2 + 33*u + 11. What is j(y(l))? -64*l**2 - 132*l + 11 Let o(y) = 2400*y**2 - 1194*y**2 - 3*y - 1199*y**2 + 3*y. Let v(l) = -5*l - l + 2*l. Calculate v(o(k)). -28*k**2 Let c(q) = -3*q**2 - 2*q - 803. Let h(f) = 9*f. Determine c(h(y)). -243*y**2 - 18*y - 803 Let q(l) = -8*l. Let h(r) = -16671*r - 4. Give q(h(j)). 133368*j + 32 Let j(u) = -5*u. Let k(c) = -2118*c + 205. Give k(j(v)). 10590*v + 205 Let u(b) = 71*b - 43*b - 29*b. Let n(q) = -15*q**2. Determine u(n(r)). 15*r**2 Let i(m) = m**2. Let w(y) = 12*y**2 - 10. Let b(s) be the third derivative of s**5/15 - s**3/2 + 13*s**2. Let f(n) = -10*b(n) + 3*w(n). What is f(i(o))? -4*o**4 Let p(o) = -46*o**2. Let u(f) = -97297 - 2*f**2 + 97297. Determine u(p(j)). -4232*j**4 Let l(g) be the third derivative of -11*g**4/24 + 3*g**2. Let r(a) = 7*a**2 - 5*a - 5. Let n(o) = -10*o**2 + 7*o + 7. Let z(j) = -5*n(j) - 7*r(j). Give l(z(t)). -11*t**2 Let s(v) = v**2. Let x(m) = -4*m**2 + 531*m - 277. Give x(s(w)). -4*w**4 + 531*w**2 - 277 Let h = 13 - 6. Let w(g) = h*g**2 - 5*g**2 + 4 - 4. Let l(d) = -4*d. Calculate w(l(i)). 32*i**2 Let r(k) = -5 + 11*k - 4 + 9. Let v(l) = 5*l. Let a(b) = -3*r(b) + 7*v(b). Let u(i) = 2*i**2. What is a(u(q))? 4*q**2 Let f(o) = -187028*o. Let u(v) = v. What is f(u(b))? -187028*b Let p(y) = -y**2. Let t(j) = 5*j - 5*j + 776 - 127*j**2 + 5*j**2 - 775. Give t(p(i)). -122*i**4 + 1 Let l(w) = 2*w. Let m(i) be the second derivative of i**7/90 - i**4 + 5*i. Let q(g) be the third derivative of m(g). Determine l(q(k)). 56*k**2 Let s(p) = p. Let q(z) = -1395*z**2 + 2*z + 43. What is q(s(o))? -1395*o**2 + 2*o + 43 Let w(y) = y**2 + 1653. Let i(q) = 4*q**2. Calculate i(w(x)). 4*x**4 + 13224*x**2 + 10929636 Let m(l) = -561508*l**2 - 1839*l. Let c(g) = 611*g**2 + 2*g. Let x(d) = -1839*c(d) - 2*m(d). Let s(h) = h. Calculate x(s(p)). -613*p**2 Suppose -16*q - 6 = -19*q. Let u(a) be the first derivative of 1/3*a**3 + 0*a - 6 + 0*a**q. Let d(r) = r. Determine d(u(n)). n**2 Suppose z + 3 = 2*z. Let j(d) be the second derivative of 0*d**2 - 2*d + 0 + 0*d**z - 1/6*d**4. Let i(l) = 11*l**2. What is j(i(m))? -242*m**4 Let f(a) = -116*a**2 - 6*a - 3. Let z(l) = -l. What is f(z(d))? -116*d**2 + 6*d - 3 Let n(v) be the first derivative of -5*v**3 - 231. Let p(m) = -m - 5. Let r(w) = 1. Let g(j) = p(j) + 5*r(j). Give n(g(u)). -15*u**2 Suppose 0 = 4*c - 943 + 135. Let y(h) = -5*h**2 - 202*h + c*h. Let w(n) = 2*n. Give w(y(q)). -10*q**2 Let u(o) be the first derivative of -19*o**2 - 89. Let b(p) = -p. Give u(b(y)). 38*y Let i(f) be the third derivative of -f**5/20 - 104*f**2 - 2. Let w(m) be the third derivative of -7*m**5/30 + m**2. Calculate i(w(u)). -588*u**4 Let n(j) = -6. Let z(d) = d - 18. Let y(r) = 6*n(r) - 2*z(r). Let f(a) = 34*a**2. Let s(o) = 51*o**2. Let u(t) = 8*f(t) - 5*s(t). Give u(y(k)). 68*k**2 Let r(d) = 2*d. Let p(j) be the first derivative of 0*j + 4/3*j**3 + 4 + 0*j**2. What is r(p(i))? 8*i**2 Let d(z) = z. Let n be 4*4/(-40)*-5. Let q(y) = -3*y**2 - 5*y**2 - n + 2. Give q(d(j)). -8*j**2 Let z(y) = 2*y**2. Let s = 13 - 11. Suppose 0*a - 40 = -2*k - a, 2*k = -s*a + 38. Let q(v) = -19 + 19 + k*v. Determine q(z(h)). 42*h**2 Let d(w) = 2*w**2. Let o(g) = 124 + 12*g + 13*g + 9*g + 11*g - 46*g. Give d(o(z)). 2*z**2 - 496*z + 30752 Let w(k) = -4*k - 3. Let s(d) = 6*d + 5. Let x(y) = 3*s(y) + 5*w(y). Let i(f) = 45*f. Determine i(x(j)). -90*j Let i(u) be the second derivative of -25*u**4/4 - 183*u. Let z(p) = -p**2. Determine z(i(o)). -5625*o**4 Let t(p) be the second derivative of p**2 - 14*p + 0 + 0*p**3 + 1/12*p**4. Let o(c) = c**2. What is t(o(a))? a**4 + 2 Let n(w) = 76493*w**2. Let j(v) = 6*v. What is n(j(a))? 2753748*a**2 Let w(j) = -5*j**2. Let l(u) be the first derivative of 35*u**3/3 + 2*u + 113. Give l(w(i)). 875*i**4 + 2 Let t(f) = 106*f. Let l(n) = -37*n**2 + 3*n. Calculate t(l(k)). -3922*k**2 + 318*k Let x(l) = -1 - 102*l**2 + 4*l + 3 - 2 + 118*l**2. Let n(u) = 2*u**2. What is n(x(m))? 512*m**4 + 256*m**3 + 32*m**2 Let v(f) = -2*f**2. Let r = 56 - 54. Let j(l) = 9*l**2 - 26*l**r + 12*l**2 + 12*l**2. Determine j(v(u)). 28*u**4 Let f(k) = 6*k - 184. Let v(b) = 122*b**2. Give f(v(c)). 732*c**2 - 184 Let h(w) be the second derivative of -4*w + 0*w**2 + 0 - 1/12*w**4 + 0*w**3. Let c(p) = -p**2. Determine h(c(q)). -q**4 Let x(n) be the second derivative of -13*n - 28*n**3 - 23*n**3 + 50*n**3. Let c(s) = s. Give x(c(l)). -6*l Let r(f) = 9*f**2. Let c(l) = 4*l**2 + 34*l + 5*l**2 - 34*l. Calculate c(r(k)). 729*k**4 Let d(h) = 5*h. Let b(l) = l - 248. Determine d(b(w)). 5*w - 1240 Let g(r) be the first derivative of r**2/2 + 35. Let b(a) = -251*a + 85*a + 84*a + 23 + 81*a. Give g(b(t)). -t + 23 Let b(k) = -407*k - 407*k + 37*k**2 + 814*k + 56*k**2. Let w(q) = -4*q. Determine w(b(r)). -372*r**2 Let v(z) = -z**2 - 6*z + 3. Let w be v(-6). Let m(n) = -n**2 - n**2 + 6*n**2 - w*n**2. Let j(g) = -g - 12 + 12. Calculate m(j(r)). r**2 Let h(j) be the first derivative of 6*j**3 - 2. Suppose 9 = u + 4*b, -b = -2*u + 3*b + 6. Let d(g) = 7*g**2 - u*g**2 - 4*g**2. Give h(d(c)). 72*c**4 Let l(b) = -29*b. Let d(x) be the third derivative of x**5/10 - 9*x**2 + 4. Calculate l(d(m)). -174*m**2 Let f(s) = -s. Let l(w) = 5*w**2 + 524565*w. What is f(l(h))? -5*h**2 - 524565*h Let d(q) = 977*q + 6. Let g(v) = 2*v**2. Determine g(d(x)). 1909058*x**2 + 23448*x + 72 Let s be -13*(-5 + 2) + -12 + 10. Let r(z) = 39*z**2 + 3*z - 3*z - s*z**2. Let p(b) = -5*b**2. Determine p(r(o)). -20*o**4 Let v(c) be the first derivative of -3*c**2/2 - 2. Let y(i) = -2*i - 14. Determine v(y(x)). 6*x + 42 Let r(q) = -7*q**2. Let s(d) be the second derivative of 11*d**3/6 + 24*d + 8. Calculate r(s(l)). -847*l**2 Let h(j) = -3*j**2. Let x(w) = -418*w. Give h(x(c)). -524172*c**2 Let o(s) = -89207 + s + 89207. Let i(f) =
{ "pile_set_name": "DM Mathematics" }
when four letters picked without replacement from {z: 1, d: 3, k: 7, b: 2, q: 1}. 0 Calculate prob of picking 2 l and 2 w when four letters picked without replacement from llwlwlllllllwll. 66/455 What is prob of picking 1 g and 2 p when three letters picked without replacement from ggjgpggppgppgpj? 3/13 Four letters picked without replacement from odddodd. What is prob of picking 4 d? 1/7 Calculate prob of picking 1 w, 1 q, 1 d, and 1 b when four letters picked without replacement from badbbddbqwddbwdd. 1/26 What is prob of picking 1 t and 1 x when two letters picked without replacement from ddrdeeyetdxexdretdtd? 3/95 What is prob of picking 1 g and 2 u when three letters picked without replacement from {g: 5, u: 8}? 70/143 Three letters picked without replacement from {t: 4, w: 3}. What is prob of picking 1 w and 2 t? 18/35 What is prob of picking 1 z and 2 a when three letters picked without replacement from zzczzzazz? 0 What is prob of picking 1 w and 1 s when two letters picked without replacement from swj? 1/3 What is prob of picking 1 r and 2 h when three letters picked without replacement from ehrhhgegihhhreigi? 3/68 What is prob of picking 1 a, 1 t, and 1 f when three letters picked without replacement from {t: 1, g: 12, a: 1, f: 5}? 5/969 Two letters picked without replacement from {a: 1, x: 1, c: 1, f: 5, m: 1, d: 4}. Give prob of picking 1 m and 1 c. 1/78 Calculate prob of picking 3 h when three letters picked without replacement from nnhnnnnhhhnnnnnnnnnn. 1/285 Three letters picked without replacement from vvvyvyyyvy. Give prob of picking 3 y. 1/12 Calculate prob of picking 2 h when two letters picked without replacement from {g: 1, h: 3}. 1/2 Calculate prob of picking 2 h when two letters picked without replacement from khhhhkhhckhhhv. 36/91 Calculate prob of picking 2 v when two letters picked without replacement from nwvnwnnvwwnwwwnwnnn. 1/171 Calculate prob of picking 2 j when two letters picked without replacement from hjjhhsh. 1/21 Two letters picked without replacement from {e: 2, r: 7, b: 7, u: 1}. What is prob of picking 1 b and 1 e? 7/68 What is prob of picking 1 o, 1 e, and 2 h when four letters picked without replacement from {e: 1, h: 7, o: 4, z: 2}? 12/143 Calculate prob of picking 1 n and 3 s when four letters picked without replacement from ssssssssnssss. 4/13 What is prob of picking 1 y and 1 t when two letters picked without replacement from yyyttttyyyytyy? 45/91 Four letters picked without replacement from qwwwoqqwoqqq. What is prob of picking 2 o and 2 w? 2/165 Four letters picked without replacement from {w: 1, d: 1, t: 1, v: 2, c: 2}. Give prob of picking 1 w, 1 v, 1 d, and 1 c. 4/35 Three letters picked without replacement from meeeffffeq. Give prob of picking 2 e and 1 m. 1/20 Three letters picked without replacement from {u: 5, r: 4, h: 2, c: 4}. Give prob of picking 1 u and 2 c. 6/91 Two letters picked without replacement from {f: 9}. Give prob of picking 2 f. 1 Calculate prob of picking 3 b and 1 t when four letters picked without replacement from hbhthshbshbh. 1/495 What is prob of picking 1 l and 1 u when two letters picked without replacement from {b: 1, o: 1, m: 1, u: 2, q: 1, l: 1}? 2/21 Three letters picked without replacement from {q: 4, y: 5, w: 8, i: 1}. What is prob of picking 1 q, 1 i, and 1 y? 5/204 Calculate prob of picking 1 f and 1 x when two letters picked without replacement from xxxxxxfxxxxx. 1/6 Two letters picked without replacement from {w: 2, n: 2}. Give prob of picking 2 w. 1/6 Four letters picked without replacement from {e: 1, y: 5, v: 5}. Give prob of picking 1 e, 2 y, and 1 v. 5/33 Two letters picked without replacement from {k: 2, y: 6}. Give prob of picking 1 k and 1 y. 3/7 Three letters picked without replacement from {d: 2, p: 2, l: 1, b: 10, s: 2, c: 2}. Give prob of picking 2 b and 1 l. 15/323 Three letters picked without replacement from {t: 11, a: 1, o: 6, k: 1}. Give prob of picking 2 t and 1 k. 55/969 Calculate prob of picking 1 i and 3 w when four letters picked without replacement from {i: 4, m: 4, w: 7}. 4/39 Three letters picked without replacement from beybbsysbwbybskksse. What is prob of picking 1 k and 2 s? 20/969 Two letters picked without replacement from avadaadjjvvajja. What is prob of picking 1 j and 1 a? 8/35 Three letters picked without replacement from qwqwqvvqqqbwwqqq. Give prob of picking 2 w and 1 v. 3/140 Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {h: 2, c: 1, e: 3, t: 7, p: 4}. 1/68 What is prob of picking 1 t and 2 n when three letters picked without replacement from nbbnbtnnbbtbn? 10/143 Four letters picked without replacement from {x: 1, w: 2, n: 2, a: 1, q: 1, i: 1}. Give prob of picking 2 q and 2 w. 0 Two letters picked without replacement from {i: 2, r: 3, k: 15}. Give prob of picking 2 k. 21/38 Two letters picked without replacement from {a: 3, o: 7, d: 2}. Give prob of picking 2 d. 1/66 Four letters picked without replacement from rrcocccoooo. Give prob of picking 1 o and 3 c. 2/33 What is prob of picking 3 p and 1 o when four letters picked without replacement from {p: 5, r: 4, o: 3, q: 1}? 6/143 Three letters picked without replacement from pppttpp. What is prob of picking 2 p and 1 t? 4/7 What is prob of picking 1 m and 3 r when four letters picked without replacement from {r: 2, v: 3, m: 10}? 0 Calculate prob of picking 2 z when two letters picked without replacement from {f: 4, z: 2, p: 1, r: 3}. 1/45 Calculate prob of picking 2 u when two letters picked without replacement from ijuujiii. 1/28 Calculate prob of picking 3 i and 1 t when four letters picked without replacement from mnmhhmmnmmmtbitiihmm. 2/4845 Calculate prob of picking 2 w when two letters picked without replacement from wwywlwywywwwwywyyww. 22/57 What is prob of picking 4 z when four letters picked without replacement from {r: 2, z: 4, u: 6}? 1/495 Calculate prob of picking 1 i, 1 w, and 1 k when three letters picked without replacement from gwpkciwi. 1/14 Calculate prob of picking 1 q, 1 l, and 1 n when three letters picked without replacement from {g: 1, q: 2, u: 1, n: 2, j: 1, l: 1}. 1/14 What is prob of picking 4 h when four letters picked without replacement from {n: 1, j: 1, h: 5, m: 13}? 1/969 Four letters picked without replacement from eqeeeefqefeeeeeqqf. What is prob of picking 4 e? 11/102 Calculate prob of picking 2 m when two letters picked without replacement from {q: 3, x: 1, m: 3, p: 1, l: 2}. 1/15 Four letters picked without replacement from {d: 7, g: 4, c: 2}. Give prob of picking 2 d and 2 g. 126/715 Calculate prob of picking 1 c and 2 m when three letters picked without replacement from {c: 1, m: 5, n: 4}. 1/12 What is prob of picking 1 d, 1 u, and 2 n when four letters picked without replacement from sdmsdmdsmndudnssss? 1/612 Four letters picked without replacement from {s: 6}. What is prob of picking 4 s? 1 Four letters picked without replacement from zppvzkkvkk. What is prob of picking 1 k, 2 v, and 1 p? 4/105 Three letters picked without replacement from wqqqwwqqqqqwqwqqqq. Give prob of picking 3 w. 5/408 What is prob of picking 1 h and 1 a when two letters picked without replacement from waahwawwawawwawaahwi? 8/95 What is prob of picking 1 k and 2 p when three letters picked without replacement from ppkpkkkppp? 1/2 Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {p: 1, o: 3, t: 7, a: 2, k: 1}. 1/13 Calculate prob of picking 2 t and 1 v when three letters picked without replacement from ttttvttt. 3/8 Calculate prob of picking 1 z, 1 k, and 2 q when four letters picked without replacement from zrkzkzmqkrmqlrk. 4/455 What is prob of picking 2 e and 1 b when three letters picked without replacement from {p: 6, w: 2, e: 4, b: 3}? 18/455 Four letters picked without replacement from hhdpddhhdhdhhv. Give prob of picking 1 p, 2 h, and 1 d. 15/143 What is prob of picking 2 j when two letters picked without replacement from jeejkjj? 2/7 Three letters picked without replacement from {v: 1, r: 2, h: 1, x: 1, n: 2, y: 2}. Give prob of picking 1 y, 1 v, and 1 r. 1/21 What is prob of picking 1 d and 2 q when three letters picked without replacement from {d: 1, q: 7}? 3/8 Calcu
{ "pile_set_name": "DM Mathematics" }
t of 2188? 2 What is the thousands digit of 4085? 4 What is the thousands digit of 3253? 3 What is the hundreds digit of 319? 3 What is the hundreds digit of 10654? 6 What is the hundreds digit of 38223? 2 What is the hundreds digit of 4680? 6 What is the units digit of 884? 4 What is the thousands digit of 14995? 4 What is the thousands digit of 4068? 4 What is the units digit of 79? 9 What is the hundreds digit of 37528? 5 What is the units digit of 92064? 4 What is the hundreds digit of 699? 6 What is the thousands digit of 9665? 9 What is the tens digit of 2285? 8 What is the hundreds digit of 857? 8 What is the tens digit of 31532? 3 What is the tens digit of 3085? 8 What is the units digit of 3131? 1 What is the units digit of 1460? 0 What is the units digit of 39506? 6 What is the hundreds digit of 8306? 3 What is the tens digit of 3823? 2 What is the tens digit of 32256? 5 What is the ten thousands digit of 18982? 1 What is the thousands digit of 2624? 2 What is the units digit of 935? 5 What is the thousands digit of 1903? 1 What is the hundreds digit of 1027? 0 What is the tens digit of 894? 9 What is the tens digit of 4604? 0 What is the tens digit of 31926? 2 What is the units digit of 258? 8 What is the hundreds digit of 8721? 7 What is the units digit of 495? 5 What is the ten thousands digit of 25611? 2 What is the units digit of 2815? 5 What is the ten thousands digit of 11386? 1 What is the units digit of 3147? 7 What is the tens digit of 45277? 7 What is the units digit of 123? 3 What is the tens digit of 3317? 1 What is the units digit of 7855? 5 What is the ten thousands digit of 45147? 4 What is the thousands digit of 41205? 1 What is the thousands digit of 1853? 1 What is the units digit of 452? 2 What is the thousands digit of 106479? 6 What is the units digit of 102639? 9 What is the units digit of 6163? 3 What is the ten thousands digit of 33403? 3 What is the thousands digit of 14371? 4 What is the units digit of 104898? 8 What is the ten thousands digit of 200064? 0 What is the units digit of 92174? 4 What is the hundreds digit of 28751? 7 What is the thousands digit of 7902? 7 What is the units digit of 18308? 8 What is the units digit of 599? 9 What is the units digit of 12544? 4 What is the units digit of 153? 3 What is the units digit of 71298? 8 What is the thousands digit of 9223? 9 What is the ten thousands digit of 17532? 1 What is the thousands digit of 136306? 6 What is the units digit of 67? 7 What is the thousands digit of 1310? 1 What is the tens digit of 1178? 7 What is the units digit of 15135? 5 What is the tens digit of 2963? 6 What is the units digit of 6698? 8 What is the hundreds digit of 519? 5 What is the hundreds digit of 1345? 3 What is the units digit of 2601? 1 What is the hundreds digit of 524? 5 What is the ten thousands digit of 12660? 1 What is the units digit of 3380? 0 What is the ten thousands digit of 29275? 2 What is the tens digit of 385? 8 What is the units digit of 42114? 4 What is the units digit of 9550? 0 What is the tens digit of 50617? 1 What is the hundreds digit of 3426? 4 What is the hundreds digit of 23965? 9 What is the tens digit of 1447? 4 What is the tens digit of 1269? 6 What is the units digit of 192? 2 What is the hundreds digit of 710? 7 What is the tens digit of 689? 8 What is the units digit of 1000? 0 What is the units digit of 584? 4 What is the tens digit of 23731? 3 What is the units digit of 68891? 1 What is the hundreds digit of 1346? 3 What is the thousands digit of 2909? 2 What is the units digit of 152? 2 What is the hundreds digit of 33557? 5 What is the hundreds digit of 728? 7 What is the units digit of 525? 5 What is the thousands digit of 26433? 6 What is the thousands digit of 22448? 2 What is the tens digit of 455? 5 What is the tens digit of 5826? 2 What is the tens digit of 8180? 8 What is the thousands digit of 3948? 3 What is the tens digit of 5247? 4 What is the units digit of 72121? 1 What is the tens digit of 5607? 0 What is the hundreds digit of 9288? 2 What is the thousands digit of 27202? 7 What is the tens digit of 4142? 4 What is the hundreds digit of 2638? 6 What is the hundreds digit of 695? 6 What is the thousands digit of 3465? 3 What is the thousands digit of 1434? 1 What is the thousands digit of 1610? 1 What is the tens digit of 18001? 0 What is the tens digit of 972? 7 What is the thousands digit of 36495? 6 What is the hundreds digit of 839? 8 What is the hundreds digit of 55823? 8 What is the hundreds digit of 589? 5 What is the ten thousands digit of 34194? 3 What is the thousands digit of 1140? 1 What is the thousands digit of 138152? 8 What is the tens digit of 942? 4 What is the tens digit of 6839? 3 What is the ten thousands digit of 26174? 2 What is the thousands digit of 3732? 3 What is the units digit of 37707? 7 What is the tens digit of 4061? 6 What is the tens digit of 7109? 0 What is the units digit of 317? 7 What is the units digit of 32801? 1 What is the units digit of 841? 1 What is the units digit of 6072? 2 What is the tens digit of 317? 1 What is the ten thousands digit of 15973? 1 What is the thousands digit of 7743? 7 What is the units digit of 24647? 7 What is the units digit of 84? 4 What is the tens digit of 10772? 7 What is the units digit of 8101? 1 What is the units digit of 76606? 6 What is the units digit of 815? 5 What is the units digit of 198380? 0 What is the hundreds digit of 988? 9 What is the tens digit of 353? 5 What is the hundreds digit of 56212? 2 What is the units digit of 15480? 0 What is the hundreds digit of 2697? 6 What is the hundreds digit of 7085? 0 What is the hundreds digit of 39466? 4 What is the hundreds digit of 156577? 5 What is the thousands digit of 39401? 9 What is the hundreds digit of 9511? 5 What is the tens digit of 5832? 3 What is the tens digit of 2543? 4 What is the hundreds digit of 349? 3 What is the units digit of 1321? 1 What is the tens digit of 8286? 8 What is the tens digit of 68736? 3 What is the units digit of 1438? 8 What is the thousands digit of 76495? 6 What is the units digit of 7863? 3 What is the hundreds digit of 6388? 3 What is the tens digit of 24429? 2 What is the hundreds digit of 271? 2 What is the hundreds digit of 2924? 9 What is the units digit of 492? 2 What is the thousands digit of 1545? 1 What is the tens digit of 91738? 3 What is the units digit of 6234? 4 What is the tens digit of 37090? 9 What is the ten thousands digit of 15995? 1 What is the hundreds digit of 1142? 1 What is the thousands digit of 32936? 2 What is the units digit of 962? 2 What is the hundred thousands digit of 103075? 1 What is the tens digit of 54938? 3 What is the ten thousands digit of 16365? 1 What is the hundreds digit of 2898? 8 What is the ten thousands digit of 11360? 1 What is the thousands digit of 17303? 7 What is the hundreds digit of 693? 6 What is the hundreds digit of 26381? 3 What is the hundreds digit of 29037? 0 What is the ten thousands digit of 31007? 3 What is the units digit of 17508? 8 What is the units digit of 3964? 4 What is the thousands digit of 3176? 3 What is the hundreds digit of 2709? 7 What is the hundreds digit of 30584? 5 What is the ten thousands digit of 86878? 8 What is the units digit of 16032? 2 What is the units digit of 719? 9 What is the hundreds digit of 717? 7 What is the thousands digit of 7620? 7 What is the hundreds digit of 159133? 1 What is the units digit of 4257? 7 What is the thousands digit of 8173? 8 What is the hundreds digit of 1059? 0 What is the units digit of 763? 3 What is the thousands digit of 5565? 5 What is the units digit of 68218? 8 What is the units digit of 54288? 8 What is the units digit of 23791? 1 What is the hundreds digit of 8403? 4 What is the hundreds digit of 1526? 5 What is the tens digit of 942? 4 What is the units digit of 9445? 5 What is the units digit of 977? 7 What is the hundreds digit of 12287? 2 What is the hundreds digit of 6423? 4 What is the hundreds digit of 1447? 4 What is the thousands digit of 4765? 4 What is the ten thousands digit of 62747? 6 What is the units digit of 925? 5 What is the hundreds digit of 1058? 0 What is the hundreds digit of 491? 4 What is the
{ "pile_set_name": "DM Mathematics" }
est common divisor of b and r? 7 Suppose -92 = -4*p - 4*a, 6*p = 8*p - 5*a - 46. Let l = 112 + -20. What is the greatest common divisor of p and l? 23 Let i(x) = 12*x - 10. Let f be i(-5). Let g = f + 120. Let r = -32 + g. Calculate the highest common divisor of 12 and r. 6 Let a(d) = -265*d + 21. Let n be a(-3). Suppose -9*y + n = 8*y. What is the greatest common divisor of 32 and y? 16 Suppose -2*j + 712 = -h, 3*j - 1230 = -h - 172. Calculate the highest common divisor of 118 and j. 118 Suppose 0 = -8*n - 253 + 1757. Calculate the greatest common divisor of 4 and n. 4 Suppose -5*b = 8 - 28, d - 24 = -b. Let f(l) = -l**2 - 7*l - 6. Let q be f(-4). Suppose -m - 300 = -q*m. What is the highest common factor of d and m? 20 Suppose -30*x + 1445 = -325. Calculate the highest common factor of 767 and x. 59 Let p(q) = 2*q**3 + 16*q**2 + 19*q + 28. Let s be p(-6). What is the greatest common divisor of s and 290? 58 Suppose -329*i = -314*i - 5070. What is the highest common factor of 39 and i? 13 Let n(i) = -i**3 - 2*i**2 + 3*i - 6. Let c be n(-5). Suppose -2*l + 4*j + 42 = 0, 0 = -5*j + j + 12. What is the highest common factor of c and l? 27 Let b(g) = 36*g + 308. Let t be b(-7). What is the greatest common factor of t and 80? 8 Suppose 4*t = -4, 5*t - 3*t + 10 = 4*q. Suppose -23 = q*z - 47. What is the greatest common factor of 3 and z? 3 Let r be (468/(-28) + 1)*-14. Suppose -148*g = -143*g - r. What is the highest common divisor of 484 and g? 44 Suppose -177*c + 171*c = -840. What is the greatest common factor of c and 175? 35 Let q be 2*-2*1/(-2). Suppose -5*x = -2*i + 7, -i = -x - 7 + q. Calculate the highest common factor of 30 and i. 6 Let j be -10*4/((-32)/4). Suppose 0 = 4*q - 3*w + 7, 2*q + 9 - 2 = j*w. Let v be (126 + 0)*(-1)/q. Calculate the highest common factor of 18 and v. 18 Let v = 36 + -33. Let t = v - 0. What is the highest common divisor of 24 and t? 3 Suppose -7*t = -428 - 307. Calculate the highest common factor of t and 35. 35 Suppose -2*o + 3*g = -0*o + 37, 2*g = -4*o - 34. Let s = -4 - o. Let p = 5 + 30. Calculate the greatest common factor of s and p. 7 Let b = 53 - 61. Let q be (-2)/(17/b - -2). What is the greatest common factor of q and 64? 16 Let q(g) = -14*g + 3. Let z be q(-6). Suppose 0 = -5*v + z + 8. Let u = 2033 + -1900. What is the highest common divisor of u and v? 19 Suppose 3*q + 135 = 3*i, -2*i + 4*i - 102 = -q. Suppose -4*z - 53 - 63 = 0. Let p = z + i. Calculate the highest common factor of 60 and p. 20 Let p be ((-24)/42)/((-3)/84). What is the highest common factor of 432 and p? 16 Let u(g) = 14*g**2 - 4*g + 2. Let y(d) = -d + 11. Let o be y(9). Let s be u(o). What is the highest common divisor of 75 and s? 25 Let f(x) = x**3 + 4*x**2 - 4. Let c be f(-5). Let j = 2 + c. Let d = j + 46. Calculate the greatest common divisor of 209 and d. 19 Let u(x) = 5*x**3 + 4 + x**2 - 3*x + 1 - 4*x**3. Suppose 4*j + 3*j - 35 = 0. Let c be u(j). Calculate the greatest common factor of c and 14. 14 Let j be -7 + (-520)/(-70) - (-6913)/7. Calculate the highest common factor of 76 and j. 76 Let o(l) = -l**2 - 6*l. Let k be o(-5). Suppose 4*g = 4*u + 296, u - 41 = -k*g + 299. Calculate the highest common factor of 46 and g. 23 Let z(r) be the first derivative of -r**4/4 - 4*r**3 - 17*r + 26. Let k be z(-13). Calculate the greatest common divisor of k and 19. 19 Let t = -670 - -470. Let c be t/(-14) - 20/70. Calculate the greatest common divisor of 98 and c. 14 Let n = -67 - -38. Let u = n - -41. What is the greatest common factor of u and 48? 12 Let k = 21 - 16. Suppose b - 2*t + 56 = -4*t, 3*b = -4*t - 164. Let j = b - -77. Calculate the greatest common divisor of j and k. 5 Let h = 5 - 5. Suppose -5*v + l + h*l + 11 = 0, 4*v - 10 = 2*l. Let g be (-15)/(-9) + (-6)/(-18). Calculate the greatest common divisor of v and g. 2 Let x(r) = 12*r + 744. Let i be x(-59). Calculate the greatest common factor of 1692 and i. 36 Suppose -q = -4*s + 143, q + 3*s - 715 = 6*q. Let m = 55 + q. Let p be (7/(-4))/(2/m). Calculate the greatest common divisor of p and 11. 11 Suppose 251*b + 2856 = 272*b. Calculate the highest common factor of b and 32. 8 Let z(v) = -2*v**2 - 11*v - 2. Let r be z(-6). Let y be (-8879)/(-52) + (-2)/r. Calculate the highest common divisor of 19 and y. 19 Suppose 2*i = -30 - 0. Let b be (1 + -2)/(-1)*-2. Let d be 2*(2 + i/b). Calculate the greatest common factor of d and 133. 19 Suppose -7*f + 24 = -9*f. Let q = 1 - f. Calculate the greatest common divisor of 39 and q. 13 Let g = -63 - -219. Calculate the greatest common divisor of g and 416. 52 Let x(l) = -l**3 - 3*l**2 + 21*l + 90. Let v be x(-6). What is the highest common divisor of 192 and v? 24 Suppose -6 = 2*r - 4*h, 0*r - 4*r - 4*h + 24 = 0. Suppose -20 = -c - 4*c + 2*b, -5*b = r*c - 12. What is the greatest common factor of 32 and c? 4 Let s be (-30)/4*72/(-30). What is the highest common divisor of 45 and s? 9 Suppose 2*x + 0*d - 307 = -3*d, -611 = -4*x - 3*d. What is the highest common factor of 114 and x? 38 Suppose 2*n + 39 = 3*m + 14, 5*m + 3*n - 10 = 0. What is the greatest common divisor of m and 155? 5 Suppose 0*n - 10 = -5*n. Let t(c) = 2*c + 1. Let m be t(n). Suppose -4*w = -o + 28, -8 + 1 = -4*o - m*w. What is the highest common divisor of 4 and o? 4 Let f(t) = t**3 - t + 3. Let b be f(0). Let o = 1 - b. Let p be ((-16)/(-20))/(o/(-55)). What is the greatest common factor of 33 and p? 11 Suppose 5*m = d - 21, -15*m = -4*d - 12*m + 33. Calculate the greatest common factor of d and 426. 6 Suppose 0*y = y - 4. Suppose 0 = -8*h + h. Suppose h = y*j + b - 4*b - 28, 0 = 5*j - 2*b - 42. Calculate the greatest common divisor of 20 and j. 10 Suppose -z - d = -5, 34 = 2*z - 2*d - 2*d. Suppose 0 = 4*q - 19 - 17. What is the greatest common divisor of z and q? 9 Let q(o) = -o**2 - 7*o. Let n = 21 - 27. Let z be q(n). What is the greatest common factor of 12 and z? 6 Let p = 142 - 97. Let n = 18 + -19. Let o be 9*n/3*10/(-6). Calculate the highest common divisor of o and p. 5 Let v(h) = -h**3 - 5*h**2 - 3*h + 4. Let q be v(-4). Suppose q*k + k - 23 = 0. Let j = 237 - 168. Calculate the highest common divisor of k and j. 23 Let l be (12/4 + -3)/(-2). Suppose 0*v - 7*v + 70 = l. Suppose -558 - 1872 = -v*g. What is the highest common divisor of 27 and g? 27 Let i(v) = v**3 + 8*v**2 + 12*v + 15. Let a be i(-5). What is the greatest common factor of a and 165? 15 Let x(m) = m**2 + 32. Let f = 6 - 6. Let o be x(f). Let q be (10/(-15))/(2/(-240)). Calculate the highest common divisor of q and o. 16 Let w be (3/(-5 - -2))/((-2)/50). Let f = 47 - w. Calculate the highest common factor of 2 and f. 2 Let x be (-296)/(-10) + 10/25. Suppose -8*g + x = -5*g. Calculate the greatest common factor of 30 and g. 10 Let d be (-5 + (-341)/(-55))/(4/10). What is the greatest common factor of d and 159? 3 Let b(p) = -p**3 - 16*p**2 - 35*p - 54. Let f be b(-14). What is the greatest common divisor of f and 77? 11 Let t(k) = 161*k**3 - k**2 - 15*k - 5. Let l be t(3). What is the greatest common factor of l and 67? 67 Let z be (-1 + 9/5)*15. Let l be (-6 - -2)/(z/(-30)). What is the greatest common divisor of 40 and l? 10 Let l(a) = -2*a - 5. Let k be l(-5). Suppose -d = k*c - 4*d - 690, -5*d = 3*c - 380. Suppose -2*y = -4*y + 30. Calculate the highest common factor of c and y. 15 Let g = -56 + 84. Calculate the highest common divisor of 56 and g. 28 Suppose 0 = 3*d + 5*a - 164, -3*d = -6*d - 3*a + 156. Let c = d - -8. Calculate the greatest common factor of 28 and c. 28 Let d be 91187/670 + (-3)/30. Calculate the greatest common divisor of d and 40. 8 Let f(n) = 117*n**3 - 2*n**2 - 17*n + 18. Let b be f(1). Calculate the highest common divisor of b and 8. 4 Let x = -27 + 33. Let y = -5 - x. Let z be 1 - y - (-10 - -11). What is the greatest common divisor of 99 and z? 11 Suppose -4*c + 5*c = 0. Suppose 3*j + 4*r + 6 = c, -3 + 11 = -4*j - 2*r. Let n be (-158)/(-13) + j/13. Calculate the greatest common divisor of 108 and n. 12 Let k(w) = w**2 + w - 1. Let l be k(2). Suppose 0 = l*c - f - 83, -30 = c - 3*c + 2*f. Let y = -21 + 38. What is the greatest common factor of y and c? 17 Let c be (0 - 405/2)*-2. Calculate the greatest common divisor of 162 and c. 81 Let i = 38 - 38. Supp
{ "pile_set_name": "DM Mathematics" }
183/97, -0.0186 Sort -4, -4829, -193, 2, 1 in descending order. 2, 1, -4, -193, -4829 Put 1, 10.15, 6/5, 0 in increasing order. 0, 1, 6/5, 10.15 Put -0.1, 48, 3/4, -0.03, 44.952 in decreasing order. 48, 44.952, 3/4, -0.03, -0.1 Sort 3, -16865, 147 in decreasing order. 147, 3, -16865 Sort 80, -5, 5, -4, 0, 596 in decreasing order. 596, 80, 5, 0, -4, -5 Sort -74, -44, 2, 13, 5 in decreasing order. 13, 5, 2, -44, -74 Put -8, 9, -6, -795 in increasing order. -795, -8, -6, 9 Sort -0.3, -2, 0.5, -117, -15, -1/4 in descending order. 0.5, -1/4, -0.3, -2, -15, -117 Put 106, -1, 7, 3, 1, -3, 5 in descending order. 106, 7, 5, 3, 1, -1, -3 Put 8, -636, 18 in ascending order. -636, 8, 18 Put -2/3, 2, 27, -1, 1/11, -9/13 in ascending order. -1, -9/13, -2/3, 1/11, 2, 27 Sort -2, 5, -1, 2, 3, -607. -607, -2, -1, 2, 3, 5 Sort 8, 4, 178, -8, 2, 13, -15 in increasing order. -15, -8, 2, 4, 8, 13, 178 Sort -0.13, 1.2, 1808, 2/5, -142 in ascending order. -142, -0.13, 2/5, 1.2, 1808 Sort -529, -0.4, 184/189 in decreasing order. 184/189, -0.4, -529 Sort -3567, -22, -28, 3, -1, 0, 4 in decreasing order. 4, 3, 0, -1, -22, -28, -3567 Sort 0, -436, 0.1, 148. -436, 0, 0.1, 148 Sort -147245, 1/2, 5. -147245, 1/2, 5 Sort -0.4, 1, 132, -158, 2/17 in increasing order. -158, -0.4, 2/17, 1, 132 Put 94, -1, -2545, -3 in descending order. 94, -1, -3, -2545 Sort 284, -1.1, 0.11, 0.1, -22 in descending order. 284, 0.11, 0.1, -1.1, -22 Sort -191/10, -2.5, 24 in ascending order. -191/10, -2.5, 24 Put 2, -1, -30, 4, -4, 140 in descending order. 140, 4, 2, -1, -4, -30 Sort 8, -1840, 1664 in descending order. 1664, 8, -1840 Sort -253, 5, -19, 12, -57, 1 in ascending order. -253, -57, -19, 1, 5, 12 Put 5/7, 6, 5, 555, -5 in increasing order. -5, 5/7, 5, 6, 555 Put -10, -3, -1, -6, -11, 97 in decreasing order. 97, -1, -3, -6, -10, -11 Put -3, -1, 4, -4, 14, 0.5 in ascending order. -4, -3, -1, 0.5, 4, 14 Sort -21/16, 2/99, -0.3, -0.2, -80. -80, -21/16, -0.3, -0.2, 2/99 Sort -1, 0.0455, -29.35, -2/3 in decreasing order. 0.0455, -2/3, -1, -29.35 Sort -114, -1, -85038 in descending order. -1, -114, -85038 Put 83, 35.6, 4293 in descending order. 4293, 83, 35.6 Sort -2, 5, -21, -4, -7243, -1 in descending order. 5, -1, -2, -4, -21, -7243 Sort 5, -4.78, 1/4, -171, -5, 0.09. -171, -5, -4.78, 0.09, 1/4, 5 Put -2, -1303, -4 in decreasing order. -2, -4, -1303 Sort -1, -3, -232, -16, 0, 14, 50. -232, -16, -3, -1, 0, 14, 50 Sort -6, 0, 19, 1, -41, -22, 4 in descending order. 19, 4, 1, 0, -6, -22, -41 Sort -87, 1, -3, 0, -6814 in descending order. 1, 0, -3, -87, -6814 Sort 1, -55.073, -16.2 in decreasing order. 1, -16.2, -55.073 Put -5, -14283, 126, 7 in ascending order. -14283, -5, 7, 126 Sort 1791, -5, -11, 1 in decreasing order. 1791, 1, -5, -11 Sort -4, 0, -92273346 in descending order. 0, -4, -92273346 Sort 5, -1, 106465, -7, 0. -7, -1, 0, 5, 106465 Put -296, 0, 0.11, 11 in increasing order. -296, 0, 0.11, 11 Sort 61/123, -10, 18, -2, -3, 1 in decreasing order. 18, 1, 61/123, -2, -3, -10 Put 0.1, 2, 247479/19 in decreasing order. 247479/19, 2, 0.1 Put 22914, -1, -3, -14 in descending order. 22914, -1, -3, -14 Put 3, 5/4, -7.18, 1, -0.2 in descending order. 3, 5/4, 1, -0.2, -7.18 Put -1877, 132, 3 in descending order. 132, 3, -1877 Put 7.78, 0.4, -0.1, -1/6, -4, 304 in descending order. 304, 7.78, 0.4, -0.1, -1/6, -4 Put -5, -9, 0, 1, 5, 110695 in descending order. 110695, 5, 1, 0, -5, -9 Sort 44, 3, 8379, 14 in ascending order. 3, 14, 44, 8379 Sort 1066, -62.3, -0.4, -2 in descending order. 1066, -0.4, -2, -62.3 Sort 0.044238, 1, 7, 2 in descending order. 7, 2, 1, 0.044238 Put -5, 1/26566, -2/3 in descending order. 1/26566, -2/3, -5 Sort -3, 5, -243, -1954, 3, 0 in decreasing order. 5, 3, 0, -3, -243, -1954 Sort 56.2, -2/5, -46, -2/3, 0.2, 2 in descending order. 56.2, 2, 0.2, -2/5, -2/3, -46 Sort 5/4, 3/2, -6.98, 0.01, 1, -1 in descending order. 3/2, 5/4, 1, 0.01, -1, -6.98 Sort -452, 2, 3, -2, -33 in ascending order. -452, -33, -2, 2, 3 Put -33, -29, -342, -6 in decreasing order. -6, -29, -33, -342 Put 79, -2, -4/9, -189, 3/7 in descending order. 79, 3/7, -4/9, -2, -189 Put -16, 34, -3, 6, -8, -5 in descending order. 34, 6, -3, -5, -8, -16 Put -11/6, 285, -191 in decreasing order. 285, -11/6, -191 Put 5949, -60, 0 in ascending order. -60, 0, 5949 Sort 0, -2, -1292, 13, 3, 5, 12 in descending order. 13, 12, 5, 3, 0, -2, -1292 Sort 2/13, -1, 0.81, -11, -2/19 in ascending order. -11, -1, -2/19, 2/13, 0.81 Put 224, -9, -26, -5, -4 in decreasing order. 224, -4, -5, -9, -26 Sort -5/6, 21, 18, 5/3, 57 in ascending order. -5/6, 5/3, 18, 21, 57 Put -1, 53, 2, -26, 11 in increasing order. -26, -1, 2, 11, 53 Sort 3/3719, -0.2, 0.1, 4, -11839 in descending order. 4, 0.1, 3/3719, -0.2, -11839 Sort 589, -4, 0.1, -534, -3 in decreasing order. 589, 0.1, -3, -4, -534 Sort -2/169, -7, 162126 in increasing order. -7, -2/169, 162126 Put -2, 5734, 105 in descending order. 5734, 105, -2 Put 5, 598379, 4, -76 in decreasing order. 598379, 5, 4, -76 Put 0, -603, -6, -4, -5, 3 in descending order. 3, 0, -4, -5, -6, -603 Sort 380, -139, -5. -139, -5, 380 Sort 1430, 3, -2/5, 4, 2/15, 2/3 in increasing order. -2/5, 2/15, 2/3, 3, 4, 1430 Sort -4, -2, -60, 129482, -1, 1 in increasing order. -60, -4, -2, -1, 1, 129482 Sort -6/4925, 1/2, 3, -0.3 in ascending order. -0.3, -6/4925, 1/2, 3 Put -0.0226094, 15, -3 in increasing order. -3, -0.0226094, 15 Put -6273, -0.073, 8/9 in descending order. 8/9, -0.073, -6273 Put 189, -2, 0.2114 in decreasing order. 189, 0.2114, -2 Sort -3, -71693, 2/31, 1/17 in increasing order. -71693, -3, 1/17, 2/31 Sort -4, 0, 941, -5, 6485, -1. -5, -4, -1, 0, 941, 6485 Sort 26365374, 3, -3/5, 5 in ascending order. -3/5, 3, 5, 26365374 Sort 0.2, -74844, -24. -74844, -24, 0.2 Put -0.2, -1/9, -0.177, 268, -12 in decreasing order. 268, -1/9, -0.177, -0.2, -12 Sort 7, 1/2, 219, 0.4, 0.108, 0.07 in descending order. 219, 7, 1/2, 0.4, 0.108, 0.07 Put 0, -4, 2, -54, -5, 50, 1 in increasing order. -54, -5, -4, 0, 1, 2, 50 Sort 98, 40, 2, 7, 1, -62. -62, 1, 2, 7, 40, 98 Sort -13, 1.6, 0.4, 1, -3/10, 0.6 in ascending order. -13, -3/10, 0.4, 0.6, 1, 1.6 Sort 5, 2539, 2, -5, 1, -4, -13. -13, -5, -4, 1, 2, 5, 2539 Sort 4, 936, 4/193, 5, -0.2, -12 in descending order. 936, 5, 4, 4/193, -0.2, -12 Sort 643224, 4, 0 in increasing order. 0, 4, 643224 Put 293, -2, 1, -803 in descending order. 293, 1, -2, -803 Put -17175648, 2, 1 in descending order. 2, 1, -17175648 Sort 4, -5963, -57, -3, 1. -5963, -57, -3, 1, 4 Put 1/6, 164/479, -1 in decreasing order. 164/479, 1/6, -1 Put 5, 25, -2813, 3, 2, -37 in decreasing order. 25, 5, 3, 2, -37, -2813 Sort -0.35, 21629, 0.04 in ascending order. -0.35, 0.04, 21629 Put 80, -1, 10, 28, 4, 5 in increasing order. -1, 4, 5, 10, 28, 80 Sort 138, 33, -5, 171. -5, 33, 138, 171 Sort -8247, 564/7, 0.008 in descending order. 564/7, 0.008, -8247 Put 0, 13, -6, 20, -360, -5 in decreasing order. 20, 13, 0, -5, -6, -360 Put 3, -32, -27, -0.163, 5, 7, 6 in decreasing order. 7, 6, 5, 3, -0.163, -27, -32 Sort 2/5, 5, -1/10, 0.3, -47, -5 in increasing order. -47, -5, -1/10, 0.3, 2/5, 5 Sort 1750, 0, -1, -17/2, -3, 5 in decreasing order. 1750, 5, 0, -1, -3, -17/2 Sort 24, -1/7, 3, -3, -5, -661.2. -661.2, -5, -3, -1/7, 3, 24 Sort -5, 5, 4, 1, -16, -98584 in increasing order. -98584, -16, -5, 1, 4, 5 Sort -60, -17, 5, 2/3, -24/1667. -60, -17, -24/1667, 2/3, 5 Sort -0.68, 144/11, -0.21 in ascending order. -0.68, -0.21, 144/11 Put -421, -11, 2, 3, 350, 1, 5 in ascending order. -421, -11, 1, 2, 3, 5, 350 Put -0.5, 0.21, 0, 3, -48 in decreasing order. 3, 0.21, 0, -0.5, -48 Put -18, -0.3, -2/5, 4, 5812 in increasing order. -18, -2/5, -0.3, 4, 5812 Sort -4, 5, 22, -1197, 4. -1197, -4, 4, 5, 22 Sort -1542/7, 0, -23. -1542/7, -23, 0 Sort 29, -3, 6, -90, -4, 3. -90, -4, -3, 3, 6, 29 Sort 9, 2402, -4, 0.1. -4, 0.1, 9, 2402 Sort -7/816, -112, -2/23, 0.5. -112, -2/23, -7/816, 0.5 Sort -3, 0.05364, -2871/17. -2871/17, -3, 0.05364 Sort 44, 0.2, -47/4, 58.2 in ascending order. -47/4, 0.2, 44, 58.2 Sort -30, -387, -50 in ascending order. -387, -50, -30 Put -0.03278, -59, 0.5, 3, -0.9, 0 in decreasing order. 3, 0.5, 0, -0.03278, -0.9, -59 Put -2, -5, 4, -462, 1, -14, 0 in decreasing order. 4, 1, 0, -2, -5, -14, -462 Pu
{ "pile_set_name": "DM Mathematics" }
4 + -2.45. Let n = -0.05 - h. Let r = 1.1 + n. Which is the closest to 0? (a) -1/8 (b) 5 (c) r c Let c = -16 + 15. What is the nearest to -1 in -2, c, -5? c Let j be ((-9)/(-3) + 0)*1. Let l be (-2)/j - (-8)/3. Which is the closest to -0.1? (a) l (b) -0.2 (c) 3 b Let q = 232 - 9047/39. Let x = -4/13 - q. Which is the nearest to 2? (a) -0.2 (b) -0.4 (c) x a Let p = 2 - 5. Let w = -52 - -51. What is the nearest to w in 0, p, -4? 0 Let z = 3 + 6. Let i be (z/5 + -1)/(-6). What is the nearest to -2 in -0.1, 5, i? i Let s = -6.04 - -6. Let w = s - 3.96. What is the closest to 0 in -0.3, w, -1/7? -1/7 Let m = 1/56 + -117/280. Let o = 0.02 - -0.08. Which is the closest to o? (a) 5 (b) m (c) -2 b Let f = -2 + 3. Let y = 0.9 - f. Which is the nearest to y? (a) -0.5 (b) 1 (c) -1 a Let m = 4.86 - -0.14. Which is the closest to 0.1? (a) -1 (b) 2 (c) m a Let p be 24/7 + (-51)/119. What is the nearest to -1 in 1, p, 2/17? 2/17 Let f = -0.094 + -0.006. Which is the nearest to f? (a) -2 (b) -5 (c) 2 a Suppose 306748 = -3*l - r, -2*r = 3*l - l + 204504. Let q = -48363284/473 - l. Let j = q - -6/43. Which is the closest to 0.1? (a) j (b) 1/3 (c) 1 a Let y = -5.0364 - -0.0464. Let n = -3.01 - -3. Let r = n + y. What is the nearest to -0.1 in 2, 3, r? 2 Let j be (3 + (-3 - -2))/(-5). Let h = -0.2 + 0.3. Let z = 1.1 - h. Which is the nearest to z? (a) 0 (b) j (c) 1 c Let z = 234 + -235. Let s = -17 - -12. Let t = 1/254 - 385/1016. What is the closest to z in s, -3, t? t Let f be 10*(-5)/((-50)/4). Let d = 0 - 0.5. Let v = -0.3 - -0.1. Which is the nearest to 0.1? (a) d (b) f (c) v c Let x = 29 - 31. What is the nearest to -0.3 in -0.5, -1, x? -0.5 Let y(f) = 2*f - 3*f + 4*f**2 + 0*f - 3*f**2 + f**3. Let k be y(1). Which is the closest to k? (a) 0 (b) 0.2 (c) 2/5 c Let z be 7*(-8)/48 - (-2)/12. Which is the closest to z? (a) 0.5 (b) -0.3 (c) -0.1 b Suppose 3*m - 14 = -5, -4*o - m - 157 = 0. Let w be 14/o + 9/15. Which is the closest to -1? (a) -1/2 (b) -2/9 (c) w a Let k be 49/(-2)*4/(-6). Let z = -107/6 + k. Let v be 5/10 + (0 - (0 + -2)). Which is the nearest to z? (a) v (b) 0 (c) 0.4 b Let l = 0.02 - -2.98. Suppose -2*x - 17 = -3*z - 0*x, -2*x - 22 = -4*z. Suppose -4 - 16 = -z*a. What is the closest to -1 in l, a, -2/3? -2/3 Let y = -1.99 - 0.01. Let s = y - -3. Which is the closest to -0.1? (a) -1 (b) -1/5 (c) s b Suppose 0 = -3*n - n - 12. Let j be (n + 0)/(90/(-4)). Which is the nearest to 0? (a) 0.5 (b) j (c) -4 b Let w = -31 - -31.19. Let r = 2.81 + w. Which is the nearest to -1? (a) r (b) 2 (c) -1 c Let a = -3 + 3. Let b be (1 - 5)/(176/(-24)). What is the nearest to a in b, 2/3, 0.4? 0.4 Let d = -8.3 - -8. Let w = 4.98 + 0.02. Let m = -3 - -2. What is the closest to 1/3 in d, m, w? d Let h = 0.391 + 0.009. Which is the closest to -2? (a) 5.2 (b) -0.2 (c) h b Let v = 2 + 0. Suppose -88 = -5*y - 18. Let x be ((-4)/(-6))/(y/(-6)). Which is the nearest to v? (a) 2 (b) x (c) 0.2 a Let n(q) = -q**3 - q. Let u be n(3). Let k be u/36 - 2/(-6). Let p(v) = -v**3 - v**2 - v. Let r be p(-1). Which is the nearest to k? (a) 5 (b) 4 (c) r c Let g(a) = a - 1. Let b be g(0). Let j = 137 + -688/5. Let c = j - -1/10. What is the nearest to b in 0.5, 1, c? c Let g = -0.22 - 0.08. Which is the closest to 3? (a) g (b) 4 (c) -5 b Let l(g) = -g**2 - 6*g - 4. Let n be l(-6). What is the nearest to 0 in -5, -2, n? -2 Let r be (-4)/12 + 26/6. Let d(p) = p**2 - 5*p + 5. Let m be d(r). Let z = -11/57 - -1/38. Which is the nearest to m? (a) 2/11 (b) z (c) 1/2 c Let l = 2 - 3. Let z = -5 + 4.83. Let k = z + 0.27. Which is the closest to k? (a) 4/5 (b) l (c) -1/9 c Let p = -0.11 + -3.89. Let s = 11/8 - 15/8. Which is the nearest to -2/7? (a) 1/6 (b) s (c) p b Let j = 3.6 + -3.4. Let o = -8 - -3. What is the nearest to -1 in -1/8, j, o? -1/8 Let q = -0.1 + 0.4. Which is the nearest to 0.1? (a) 4 (b) q (c) 2/5 b Let h = -4 - -4.2. Let m = h - 0.2. Let t = -4.17 + 0.17. Which is the closest to m? (a) 4/7 (b) 1/4 (c) t b Suppose 5*z - 74 = -0*z + 4*i, -4*z - i + 55 = 0. Let w be 48/z - (3 + 0). Which is the nearest to 1? (a) w (b) 4 (c) -1/3 a Let a be (-12)/(-78)*1/2. What is the closest to a in -0.5, 3/4, 4? -0.5 Let i = -0.14 + -0.86. What is the nearest to i in -0.4, 1/4, 4/5? -0.4 Let p = -7 - -6. Let s = p - -1.2. Which is the closest to -2/7? (a) -0.5 (b) 1 (c) s a Let z = 67 + -62.1. Let b = 5 - z. What is the closest to 1 in b, -4, -5? b Let p = 43/3 + -15. Suppose -70 = -2*m - 14. Let h be m/12 - 1/(-6). Which is the closest to p? (a) 2 (b) -5 (c) h a Let q(o) = -2*o**3 + 1. Let j be q(-1). Let v be (50/(-15))/(8/30). Let z = 47/4 + v. Which is the closest to -1/4? (a) z (b) 4 (c) j a Let w = 167 - 165. Which is the closest to 6? (a) w (b) -2/9 (c) -3 a Let y = 433 - 436.81. Let v = -0.19 + y. What is the nearest to 2/5 in 1, -5, v? 1 Let z be (-3)/(-1)*17/65. Let i = 5/13 - z. Let m = -101 + 106. Which is the nearest to 2/7? (a) i (b) m (c) 0.3 c Let o = 2.2 - 1.5. Let u = o - 0.2. Let w = 0.6 - 0.7. Which is the nearest to 1/3? (a) u (b) w (c) -3 a Let k = 147 + -143. What is the closest to 5 in 2, -0.3, k? k Let t = 55 - 55.8. Which is the closest to 1? (a) 0.1 (b) 0.2 (c) t b Let w be 1 - 4432/18 - -3. Let i = -242 - w. Let k = 7 + -3. Which is the closest to -1? (a) k (b) i (c) 0.3 b Let g = -0.16 - -9.16. Let m = g + -17. Let j = m - -8.5. Which is the closest to -1? (a) -5 (b) j (c) 2 b Let m be 16/60 - (-2)/5. Which is the nearest to 0.1? (a) -3 (b) m (c) -2/3 b Let m be 12/(-16)*2/(-6). Which is the nearest to -0.1? (a) 4 (b) -3 (c) m c Let i be 3/9 + 1/(-3). What is the nearest to i in 1/7, 0.2, -3? 1/7 Let i = -103 + 99. Let u = 0.11 - 5.11. Which is the closest to -4/7? (a) 2/5 (b) u (c) i a Let o = 4.9 + -0.9. Let f = 5 - o. What is the closest to f in 0.1, -4, 4/9? 4/9 Let s be 2 + -2 + (6 - 46/8). Let h = -31/10 - -609/190. Which is the closest to -1? (a) s (b) h (c) -2 c Let w = -8 - -8.3. Let g = 49 + -51.1. Let u = 2 + g. Which is the nearest to u? (a) w (b) -3 (c) -5 a Let z = 0.1 - 0. Let o = -3.13 - -3. Let p = -4.87 + o. Which is the closest to z? (a) -0.1 (b) p (c) -3 a Suppose 4*u + 14 = -6. What is the closest to -1 in -1/3, -0.3, u? -1/3 Let b = -4.65 + 0.65. What is the closest to 1 in b, -2/7, -0.5? -2/7 Let w = -13 + 10. Let j = 5.88 - -0.12. Which is the closest to 1/2? (a) w (b) j (c) 0.5 c Let d = -15 + 9. Let p(v) = -4*v - 3*v**2 + 2*v**2 + 6 - v. Let n be p(d). Which is the nearest to 0.1? (a) n (b) 1/2 (c) 4 a Let k = -91/380 + -1/95. Which is the closest to -1/3? (a) k (b) 2/7 (c) -0.1 a Let h = 4.2 - 4.5. Let n = -8 - -3. Let w = n - -3. What is the nearest to w in h, 0.2, -2/7? h Let y = -15 - -13. Let q be ((-28)/8 - y)/(-6). Which is the nearest to -2/15? (a) q (b) -0.3 (c) -4 b Let y = 2.67 - 0.67. What is the closest to 1 in -4, y, 0.5? 0.5 Let t = -118 - -117.6. Which is the closest to -0.06? (a) 5 (b) 0 (c) t b Let x = 0.6 - 0.8. Let j = 0.1 - 1.1. Which is the nearest to 0? (a) 5 (b) x (c) j b Let y be -4 - ((-356)/52 + 3). Suppose 5*q + 8 - 2 = 4*d, 3*d + 4*q + 11 = 0. Which is the nearest to d? (a) 2/7 (b) y (c) -0.3 c Let w = 8 - 13. Let z = w - -7. What is the closest to 1 in 4/7, z, 2/7? 4/7 Let k = -32/7 - -167/35. Let v be 3 + 1/(-1 + 2). Suppose -6 = -v*l - 2. What is the closest to l in 3, 5, k? k Let w be (1/3 + 0/2)/(-1). What is the nearest to w in -2, -3, -4? -2 Let f = 0.4 + -0.1. Let z = 5.8 + -6. What is the closest to z in 0.1, f, -2? 0.1 Let z = 6 + -9. Let r be 4/6 + (-10)/42. What is the closest to r in z, -0.5, -1? -0.5 Let d = -0.12 + 0.02. Let q = 0.3 + d. Let t = q - 0.2. Which is the closest to 0? (a) -3/8 (b) -1/3 (c) t c Let u be (10/30)/((-3)/18). Let b = -0.009 - 2.031. Let n = -0.04 - b. What is the nearest to 1 in n, u, -5? n Let r be 14/10 + 4/(-10). Let f be r/6*(3 - -1). Let d = 77 + -79. Which is the nearest to -0.1? (a) d (b) f (c) 2 b Let k = 71 + -71.5. Let q = -0.04 - -0.34. Let b = 0 - q. What is the closest to 2/3 in 0.2, b, k? 0.2 Let t be (-196)/260 - (-6)/39. What is the nearest to 1 in 1/2, -5, t? 1/2 Let o = 10 - 15. Which is the closes
{ "pile_set_name": "DM Mathematics" }
s the derivative of 3*q**2 + 1 - q**3 - 4 - 3*q**z wrt q? -3*q**2 What is the first derivative of 0 - 13 + 12*z - 18 - 1 wrt z? 12 Let b(z) be the third derivative of -z**9/252 - 2*z**5/15 + 25*z**2. What is the third derivative of b(m) wrt m? -240*m**3 Let n(u) be the third derivative of 0*u**4 + 1/12*u**5 + 0 + 1/6*u**3 + 0*u - 6*u**2. What is the derivative of n(j) wrt j? 10*j What is the derivative of 25 - 10 - 4*q - q wrt q? -5 Suppose 2*m + 3*j + 4 = 0, 2*m - 22 = 4*j + 2. Find the second derivative of 0 - 1 + 3*u**4 + m*u + 1 wrt u. 36*u**2 Let k = 16 - 14. What is the third derivative of -6*r**3 + 7*r**k + 6*r**3 - 10*r**6 wrt r? -1200*r**3 Suppose -2*v = -7 + 3. Differentiate -k**3 - 16*k**2 + 10*k**2 + 6*k**v + 5 with respect to k. -3*k**2 Let x(w) = -15*w**4 - 4*w**3 - 33*w**2 + 4*w. Let o(b) = b**4 + b**3 - b**2 - b. Let m(y) = 4*o(y) + x(y). What is the third derivative of m(n) wrt n? -264*n Suppose -3*b = 0, 0*z + 5*b - 24 = 4*z. Let t = -3 - z. Find the third derivative of -4*c**2 - 2*c**6 + t*c**6 + 2*c**2 wrt c. 120*c**3 Let b(q) be the second derivative of -q**7/840 + q**5/24 - q**3/6 + 2*q. Let h(l) be the second derivative of b(l). What is the second derivative of h(s) wrt s? -6*s Let w(h) = 14*h**4 - 7*h**2. Let a(o) = -o**2. Let l(k) = 5*a(k) - w(k). What is the third derivative of l(q) wrt q? -336*q Let z(j) be the second derivative of j**6/30 + j**4/2 + 39*j**2/2 - 22*j + 2. Differentiate z(i) with respect to i. 4*i**3 + 12*i Let s(h) be the second derivative of 11*h**6/30 + 13*h**4/12 + 13*h. Find the third derivative of s(m) wrt m. 264*m Let b(s) = s**3 + 8*s**2 - 8*s + 12. Let q = -3 - 6. Let l be b(q). Find the third derivative of 0*z**3 - 2*z**3 + 3*z**2 + 0*z**l wrt z. -12 Let s(n) be the second derivative of 23*n**4/12 + 10*n**2 - 29*n. Differentiate s(i) with respect to i. 46*i Let m(u) be the first derivative of -4 - 4*u - 1/2*u**4 + 0*u**2 + 0*u**3. What is the first derivative of m(x) wrt x? -6*x**2 Let y(t) = -33*t**4 - 11*t**2 + 7*t - 11. Let p(w) = 16*w**4 + 6*w**2 - 3*w + 6. Let l(s) = -11*p(s) - 6*y(s). Find the second derivative of l(v) wrt v. 264*v**2 Let m(z) = -24*z**4 - 3*z**2 - 5*z + 3. Let d(c) = -24*c**4 - 2*c**2 - 6*c + 2. Let v(x) = -3*d(x) + 2*m(x). What is the second derivative of v(l) wrt l? 288*l**2 Let f(h) = -6*h**2 + 8*h - 2. Let c(i) = -5*i**2 + 7*i - 3. Let n(b) = 2*c(b) - 3*f(b). What is the second derivative of n(l) wrt l? 16 Let w(u) = -2*u - 8. Let p be w(-6). Find the first derivative of 9*d - 9*d + 4*d**p + 3 wrt d. 16*d**3 Suppose 0 = -2*r - 0*r + 6. Find the third derivative of 2*n**5 - 3*n**2 + r*n**5 - 2*n**5 wrt n. 180*n**2 Let q(p) be the second derivative of p**7/14 - 11*p**3/6 + 10*p. What is the second derivative of q(r) wrt r? 60*r**3 Let j(h) be the first derivative of -1/3*h**6 + 0*h + 1 + 0*h**5 - h**2 + 0*h**3 + 0*h**4. Find the second derivative of j(p) wrt p. -40*p**3 Let u(z) be the third derivative of -z**9/15120 + z**6/360 + z**4/8 - z**2. Let j(w) be the second derivative of u(w). Find the second derivative of j(o) wrt o. -12*o**2 Let d = 0 + 5. Find the third derivative of -5*i**5 + 2*i**5 + 8*i**5 + 2*i**2 - 3*i**d wrt i. 120*i**2 Let s(z) = 15*z**2 - 14. Let m(y) = 9*y + 2. Let f be m(1). Let b(c) = -29*c**2 + 27. Let g(d) = f*s(d) + 6*b(d). What is the first derivative of g(o) wrt o? -18*o Let t(v) = -v**3 - v**2. Let s(j) = -92*j + 92*j + 3*j**2 + 8*j**3 + 8. Let i(h) = -s(h) - 3*t(h). Differentiate i(q) with respect to q. -15*q**2 Let z(d) be the second derivative of -11*d**6/30 - 7*d**3/6 - 21*d. What is the second derivative of z(i) wrt i? -132*i**2 Let c = 9 - 13. Let v be 6/c*24/(-9). Differentiate -3 - v*x + 0*x + 5*x with respect to x. 1 Let f(b) be the first derivative of -4 + 0*b**3 + b**2 + 0*b + 0*b**4 - 3/5*b**5. Find the second derivative of f(s) wrt s. -36*s**2 Let i = -3 - -10. Suppose 8*x - i*x = 2. Find the third derivative of -s**4 - s**x - s**2 + 3*s**2 wrt s. -24*s What is the second derivative of -4*q - 21*q**4 - 3*q + 15*q**4 wrt q? -72*q**2 Let s(b) = -b**3 - 2*b**2 + b + 2. Let x be s(-2). Suppose x = -2*g + 4*g - 6. Differentiate -h**3 + 7*h**3 - 5*h**g + 1 wrt h. 3*h**2 Let h(u) be the first derivative of -7*u**4/4 + 11*u**3/3 - 1. What is the third derivative of h(f) wrt f? -42 Let m(b) = b**3 - b - 1. Let n(c) = 20*c**3 - 10*c**2 - 12*c - 12. Let o(g) = -12*m(g) + n(g). Find the third derivative of o(p) wrt p. 48 Let l = 26 + -15. Find the first derivative of -5*h**4 - l*h**4 + 6 + 9*h**4 wrt h. -28*h**3 Let v(o) = -1 + 5*o**2 - 4*o**2 + 0. Let y(t) = t**2 - t + 1. Suppose -2 - 2 = -4*m. Let k(b) = m*y(b) + v(b). What is the second derivative of k(l) wrt l? 4 Let k(l) = -l**3 - 2*l**2 + 3*l + 3. Let m be k(-3). Let n = m - 1. What is the second derivative of -3*x**4 + 2*x + 3*x**4 - n*x**5 wrt x? -40*x**3 Let p(s) = s. Let j be (-2)/(-7) - (-57)/21. Let v be p(j). Find the second derivative of v*f - f**4 - 3*f - f wrt f. -12*f**2 Let f(v) = v + 6. Suppose 5*r + 3*a = -33, -3*r - r - 20 = -4*a. Let h be f(r). Find the second derivative of h*i + i + i**3 - 5*i wrt i. 6*i Find the second derivative of -10*x + 26*x - 12*x - x**5 wrt x. -20*x**3 Let s(q) be the first derivative of -7*q**4/4 + 3*q**2 - 7. Find the second derivative of s(m) wrt m. -42*m Let q(c) be the third derivative of -3*c**2 + 0*c + 0 + 0*c**5 - 1/40*c**6 - 1/2*c**3 + 0*c**4. What is the derivative of q(i) wrt i? -9*i**2 Let r(w) be the third derivative of -2*w**7/105 + w**4/4 + 2*w**2. Find the second derivative of r(c) wrt c. -48*c**2 What is the first derivative of -34*p + 17 + p - p + 0*p wrt p? -34 Let g(u) be the second derivative of u**6/10 + u**4/6 - u. What is the third derivative of g(j) wrt j? 72*j Let i = -11 + 5. Let a = 10 + i. Find the first derivative of -4*v**4 + 4*v**a + 2 + v**4 wrt v. 4*v**3 Let u(c) = c + 2 - 2 + 9 - 5*c**2. Let y(m) = m**2 - m. Let a(n) = -u(n) - y(n). Differentiate a(r) wrt r. 8*r Let x(c) be the second derivative of -7*c**5/10 + 5*c**3/3 + 14*c. What is the second derivative of x(z) wrt z? -84*z What is the second derivative of -6 + 23*s + 15 - 21*s - 46*s**2 wrt s? -92 Let y be 25/20 - 6/(-8). What is the third derivative of 4*j - 4*j - 3*j**5 - 16*j**y + 14*j**2 wrt j? -180*j**2 Let o(p) be the first derivative of -9*p**7/7 - 2*p**3/3 + 8. Find the third derivative of o(n) wrt n. -1080*n**3 Let m(j) be the first derivative of 2*j**5/5 - 3*j**4/4 - 22*j - 36. Differentiate m(r) with respect to r. 8*r**3 - 9*r**2 Let y(d) be the third derivative of d**7/280 + d**4/6 - 2*d**3/3 - 4*d**2. Let v(n) be the first derivative of y(n). Find the first derivative of v(g) wrt g. 9*g**2 Differentiate 5*h - 1 + 7*h**3 - 5*h + 12*h**3 wrt h. 57*h**2 Let g(x) be the third derivative of 3*x**6/40 - 13*x**4/24 + 22*x**2. Find the second derivative of g(d) wrt d. 54*d Let s = 9 - 3. What is the second derivative of -s*a**2 + 0 + 2*a - 8 + 8 wrt a? -12 Suppose -4*m + 16 = -0*m. Let j be ((-2)/(-1))/(2/5). Find the third derivative of -j*p**3 - m*p**2 + 5*p**3 + 2*p**2 + 2*p**4 wrt p. 48*p Let g(w) be the third derivative of 0*w**7 + 0*w**6 + 0*w + w**2 + 0*w**5 - 1/8*w**4 + 1/84*w**8 + 0*w**3 + 0. What is the second derivative of g(c) wrt c? 80*c**3 Let k(h) be the first derivative of 22*h**3/3 - 13*h**2/2 - 4. What is the second derivative of k(g) wrt g? 44 Find the third derivative of 5*m**5 + m**2 - 6*m**5 - 9*m**5 wrt m. -600*m**2 Let v(k) = -4*k - 1. Let c be v(-1). What is the third derivative of 2*m + 2*m**2 + m**3 + m - c*m wrt m? 6 Let f(b) be the third derivative of -b**10/1008 + b**6/45 - b**3/2 - 2*b**2. Let a(o) be the first derivative of f(o). Find the third derivative of a(l) wrt l. -600*l**3 Let z be -3*((-32)/(-6))/(-4). Find the second derivative of 3*p - p**z - p**4 + 0*p - 2*p**4 wrt p. -48*p**2 Let k(p) be the second derivative of p**7/840 - p**6/120 - 2*p**4/3 + 3*p. Let c(d) be the third derivative of k(d). Find the second derivative of c(l) wrt l. 6 Let w(l) = -6*l**5 + l**4 + l**3 + 9*l - 1. Let z(j) = j**5 - j**4 - j**3 - j + 1. Let i(v) = w(v) + z(v). What is the second derivative of i(n) wrt n? -100*n**3 Let i = 0 - -2. What is the second derivative of -4 + 4 + i*q**2 + 5*q + 2*q wrt q? 4 Let w(i) be the firs
{ "pile_set_name": "DM Mathematics" }
= -a + 6 - 38 for q. -5 Solve -4*q + 2*q + 6*q = -3*v + 7*v - 32, -4*q - 494*v - 40 = q for q. -8 Solve -3*w - 2*z = w - 1554 - 1553 + 3093, 3*w + z - 11 = 0 for w. 4 Solve 3*o + c - 15 + 54 = 3*o + 4*o, -c - 19 = 0 for o. 5 Solve 3*d - 79 = -2*n, -62*n - 2*d = -56*n - 48 for n. -1 Solve -1048*r + 1047*r = 4*a + 44, 17*r + 428 = -4*a for a. -5 Solve 3*b - 33 = 2*x - 2*b, 0 = x + 1967*b - 1927*b - 87 - 109 for x. -4 Solve 5*w = -t - 20, -3*w - 38 = 25 - 48 for t. 5 Solve 4*g - 18 - 20 = -3*a, -14*a + 285 = 6*a - 5*g for a. 14 Solve 15*d = -5*k + 10*d - 80, -16*k = 7*k + 9*d + 186 for k. -3 Solve -4*g + 8 = -2*k - 0*k, 5*k - 4*g + 1139 - 547 = 584 for k. 0 Solve -h - 3*h + l = -2*l + 2*l + 2, -29*l - 20*l = 4*h - 98 for h. 0 Solve 10*n + 5*n - 4*m + 124 = 24*n + m, 0 = -4*m + 128 for n. -4 Solve -4*j - 18 = -4*f + 4*j - 7*j + 4*j, 3*f + 330 = -32*j - 14 for f. -8 Solve -9*a - a + 5*b + 210 = 0, 14*a + 222 = 21*a - 5*b for a. -4 Solve -8*n + 23*n - 8*n + 19 = 3*n - t, -13*n - 2*t = 68 for n. -6 Solve 8*p - 78717*n - 120 = -78725*n, -4*p - 2*n + 26 = 0 for p. -2 Solve 2*r - 4*m = -36, 99*r - 102*r - 34*m + 106 = 0 for r. -10 Solve -5*b = -3*i + 39, 5*b - 1441 + 1472 = 2*i for i. 8 Solve -69*b - 65 = -2*i, 0 = -4*i - 2*b - 601 + 591 for i. -2 Solve -5*x + 36*b = 21*b - 100, 4*x - 4*b - 23 = 17 for x. 5 Solve -5*a + 10 - 29 = -5*o - 4, 0 = -o - 4*a + 23 for o. 7 Solve -5*q = -k + 54, 894*k = -q + 890*k + 6 for q. -10 Solve f = 2*p - 10 - 4 - 12, 11*f = 4*p + 4*f - 72 for p. 11 Solve 8*v = 5*v + 8*v + 2*k - 19, 0 = -51*k + 110*k - 55*k - 8 for v. 3 Solve 5*s + 4*v - 33 = 110, -14205 = -3*s - 3*v - 14097 for s. -1 Solve -125*n = -4*q - 56050 + 55606, -4*q = -n - 52 for q. 14 Solve 20*z - 3 = -71*z + 7*w - 5*w, -w = 47 for z. -1 Solve -5*s + s = 2*x + 204, 5*x = 159671*s - 159668*s + 179 for s. -53 Solve -3*w - 13985 = -5*b - 13948, 5*b = -5*w + 5 for b. 5 Solve 3*q - 3*q - 3*g - 1310 = -1412, 170 = 26*q + 5*g for q. 0 Solve 5*n + 62 = u, 3288*n + 5*u - 46 = 6571*n - 3280*n for n. -12 Solve -x + 11*q + 36 = x, -3*x - 19*q - 13*q = -41*q - 24 for x. -4 Solve 4 = 11*l - 10*l - p, -37*l + 2*p = -32 - 116 for l. 4 Solve 0 = -2*x + 2110*t - 2109*t + 18, -t = -x + 7 for x. 11 Solve 0 = -5*f + v + 70, f - 9*v = 6*f - 3*f - 75 for f. 15 Solve 0 = -3*g + 5*p - 59 + 149, 3*g - 4*p - 81 = -2*p for g. 25 Solve 32 = 3*y + y - 12*m, 383*y - 2*m - 2 = 384*y for y. 2 Solve -52*b + 49*b - 33 = 18*p, 2*p + 3*b - 31 = 0 for p. -4 Solve -800*f - 63 = 3*o - 801*f, 0 = 3*o + 2*f + 63 for o. -21 Solve -4*w + 4 = 0, -666920*w + 666917*w - 47 = -10*r for r. 5 Solve 1612 = -d + 4*p - 2*p + 1590, -25*p = 4*d - 44 for d. -14 Solve 0 = 112*a - 115*a - 12, -4*y + 14*a = -15*y + 5*y - 260 for y. -34 Solve -3*s - 15298*d = -15301*d + 51, -21*s - 53 = -2*d for s. -1 Solve 5*o - 18 = -4*s + 18*s, 1167*s = -2*o + 1169*s for o. -2 Solve 1093*j - o = 1097*j - 34, -4*j = -6*j + 4*o - 64 for j. 4 Solve -2*k - k - 5*w = -11, 152*k - 154*k - 5*w + 9 = 0 for k. 2 Solve -3*i - 10*q - 41 = -7*q + 91, 2*i + 20*q = -916 for i. 2 Solve -1022*v + 1018*v - 5 = -3*q, -2*v - 5*q - 9 = -10*q + 10*q for v. -2 Solve 0 = -u + 16*j - 11*j - 6, 5*j - 4 = -198*u + 197*u for u. -1 Solve 5*g - 48 = 4*g - n, -3*g + 48 = 10*n - 50 - 67 for g. 45 Solve 15*d = -i + 19*d + 220 - 186, 2*i = 8*i + d - 29 for i. 6 Solve -3*a + 74 = -10*o, 0 = o - 4396*a + 4398*a + 12 for o. -8 Solve 0 = 4*i + 3*y - 10, 5040*y - 20 = -4*i + i + 5044*y for i. 4 Solve 3*l - 24 = -3*l, -6*l + 16 = -5*y + 2*y - 8 - 13 - 2 for y. -5 Solve -35 = 4*n + m, -3*n + 383*m - 357*m - 160 = 0 for n. -10 Solve 0 = -h + 6*h + 11*d + 218, 4*h - 3*d = 1100519 - 1100481 for h. -4 Solve -182 = -18*b + 4*s, 966*s - 64 = -4*b + 961*s for b. 11 Solve -20*l - 23*l = -39*l + 2*z - 70, 0 = 34*l - 22*z + 23*z - 67 for l. 1 Solve 51*h - 10 = 46*h - 2*i, -2*h + 2*i - 24 = 0 for h. -2 Solve 300*a - 32 = 4*m + 296*a, -5*m - 20 = -3*a for m. 2 Solve 5*h + 10 = 3*b, 156 = -2*h + 146 for b. -5 Solve -7*f + 8*f + 10*f + 6*f - 395 = 2*j, 0 = 5*f - 115 for j. -2 Solve 4*n + 2*m + 56 - 62 = 0, -n + 3*m - 2 = 0 for n. 1 Solve 7*b = b + 4*b + 5*b - 3*n + 4*n + 2, -2*n - 11 = 13*b for b. -1 Solve 0 = -2*l + 6, b + 3*l - 672 = 2*b - 662 for b. -1 Solve 14*v + g + 1396 = 1426, -5*v + 4*g + 2 = 0 for v. 2 Solve 5*k = 50, 3*r + 142*k - 1884 = -467 for r. -1 Solve 3*g + 2*g + 240 = 5*a, a = 566*g - 564*g + 49 for a. 47 Solve 3*b = 24*m - 81*m - 27*m + 357, 2*m = -4*b - 11 + 47 for m. 4 Solve 5*z - 73919 = -2*d - 74016, 6*z + 114 = 0 for d. -1 Solve 5*q - 3*s = 50, -2*q - 16*s - 20 - 132 = 0 for q. 4 Solve 2*i + 31664*m = 31657*m - 27, 5*i + 2*m + 52 = 0 for i. -10 Solve 3*b = 3*i - 123, 115 = 622*b - 625*b + i for b. -37 Solve -13734*l + 13735*l - 13 = -5*c, -19*c - 2*l + 53 = 0 for c. 3 Solve -4*q + 2*q - n = -4*q - 45, 419 = -0*q - 4*q + 9*n for q. 1 Solve -77 = -3*n + 4*k, 0 = -4*n - 67*k + 60*k - 144 for n. -1 Solve -4*q + 3*i + 323 = 336, i = 76*q - 369 for q. 5 Solve 5*d - 1092 = -182*o, 5*d - 18 = -4*o - o + 3 + 9 for o. 6 Solve 10 = -5*o, -7*b + 3*o - 5*o - 8 = -17*b - 8 + 24 for b. 2 Solve o = -3*g - 0*g - 23, 15 - 2 - 30 = 5*o + g + 28 for o. -8 Solve -13*a = 2*a + 150*i - 154*i - 85, 0 = -2*a - 4*i - 34 for a. 3 Solve 78 = -k - 2*r + 86, 3*r - 1 = -7*k for k. -2 Solve -v + 35 = d, 168 = -10*d - 17*v + 21*v for d. -2 Solve 5*g = 2 + 11 + 2, 73*g = 2*y + 233 for y. -7 Solve t + 7 = 3*z, -5*z + 4*t + 747 = 726 for z. 1 Solve -9*p + 3783*f + 5 = 3788*f, 0 = 2*p - 4*f + 50 for p. -5 Solve -2*w - 5*o = 0, -31*w + 14*w - 4*o + 207 = 26*w for w. 5 Solve 3*y = -3*t + 78, -83*t = 14*y - 84*t + 101 for y. -5 Solve -7 = 4*x + z + 7, z = 3*x - 19*z - 197 for x. -1 Solve 2*s - 4*y - 161 + 137 = 0, -10*y - 33*y = -4*s + 188 for s. 4 Solve 2*j = 7*n - 129, 3*j - 44 = -4921*n + 4919*n for n. 19 Solve 3*o + 14 - 45 + 22 = -w - 11, -3*w + 5*o = 62 for w. -14 Solve -10639*h = g - 10637*h, 3*g - 73*h = g - 77 for g. -2 Solve 4*m + 5*t - 4*t = -44, 5 = m - 3*t + 3 for m. -10 Solve 0*s + 8*c - 16*c = 3*s - 23, 3*s + 17 = 2*c for s. -3 Solve a + 13*l - 7*l = -4*l - 40, -3*a - 70 = 5*l for a. -20 Solve -f + 149994 = p + 149985, f = 2*p - 3 for p. 4 Solve -37*b + 283*n = 838*n - 281*n - 271*n + 196, -32 = 2*n for b. -4 Solve -25 = 5*m + t + 17 - 1, 115 = -7*m - 5*t for m. -5 Solve -5*u + 170 = 1320*o - 1323*o, 11 = 4*o + u for o. -5 Solve -5*z + 23 = -c, 0 = z + 2*c - 185011 + 185024 for z. 3 Solve -4*t - 371*h = -366*h + 129, 0 = -11*t + h - 340 for t. -31 Solve 2*n + 192 = -172*w + 171*w, 5*n = w - 5*w - 483 for w. -2 Solve -2*a + 2711*m - 2706*m = -12, -5*m = -3*a + 8 for a. -4 Solve 0 = -5*y - 3*r - 29, -602*r + 12 = -606*r for y. -4 Solve 50*m - 14 = 46*m - r, -11*r + 12*r = 18 for m. -1 Solve 0 = -135*f + 4*r - 961, -88697 = 4*f + 3*r - 88681 for f. -7 Solve 0 = 37*c + 3*k + 120, 1901*c - 3*k = 1901*c + 126 - 6 for c. 0 Solve 4*s = 5*r - 0*r - 60, -3*r + 82 = 135*s - 142*s for r. 4 Solve o = -7*a - 499 + 501, 2*o = 11*a - 21 for o. -5 Solve -4*s - 8 = -3*z, 102864*z - 2*s = 102865*z + 2*s - 8 for z. 4 Solve 245 = 40*p + 5*c - 0*c, -2*c - 57 = 2*p - 99 for p. 4 Solve -23 = -5*z + c, 7*z - 4*c = 397050 - 397023 for z. 5 Solve -5*t + 323971 = -f + 323993, -t = -3*f + 10 for f. 2 Solve -61 = 2*z - v, 0 = -3*z + 6*v - 2697 + 2592 for z. -29 Solve -41 + 153 = -3*r - 108*c - 131 - 498, -5*c - 45 = -2*r for r. 5 Solve 0*j + 12 = 222*n - 222*n - 2*j, 5*n - 40 = 5*j for n. 2 Solve a + 31 = -j, -532*j + 264*j + 266*j = -15*a - 550 for a. -36 Solve -5*q - 28 = 2*g + 16 + 91 + 27, 0 = -19*q - 608 for g. -1 Solve -2*i + 119 + 85 = 52*w + 31 + 35, 4*i = 5*w - 51 for w. 3 Solve 3*d - 309648 = -14*m - 309735, 4 = -4*d for m. -6 Solve 2*f = 4*p - 48 + 38, -5*f - 11 = -p + 3 + 2 for p. 1 Solve 5*q = 3*l - 42398 + 42363, -4*l - 7*q + 74 = 0 for l. 15 Solve 2*m = -5*x - 79, 855*x - 851*x + 20 = 0 for m. -27 Solve -3*o - 24 = 4*v, 99*o + 5*v = 239*o + 1120 for o. -8 Solve -3*p + 728312*s = 728314*s - 10, s - 5 = p for p. 0 Solve 2*u + 11 = 5*m + 1 - 5, 4*u + 6*m - 50 = 0 for u. 5 Solve 11*a - 119 = -4*l, 4957*a + 3*l - 68 = 4953*a for a. 5 Solve -1 = -7*h + 2*b, -6 = -2*h - 5868*b + 5871*b + 4 for h. -1 Solve -2*d - 5*f + 60 = 0, -7*d - 3018*f = -6*d - 3015*f - 30 for d. 30 Solve -105*t + 3*a = 13*t + 10*t
{ "pile_set_name": "DM Mathematics" }
d derivative of -m**6/420 + 6*m**5/35 + 25*m**4/28 + 38*m**3/21 + 4254*m**2. Suppose p(n) = 0. Calculate n. -1, 38 Let r(c) = 81*c - 311. Let s be r(4). Suppose -n - 5 = -2*x, 3*n + 4*x = 12 + s. What is g in 15/7*g**2 + 0 + 0*g + 18/7*g**n + 3/7*g**4 = 0? -5, -1, 0 Determine k so that -k**4 - 7803*k - 2*k**4 - 6388*k**3 - 7497*k**2 + 6691*k**3 = 0. -1, 0, 51 Let l be 2/4 - ((-156)/8)/13. Solve -21 - 12*k**5 - 45*k**4 + 24*k + 48 + 54*k**l - 21 - 12*k**3 - 15 = 0. -3, -1, 1/4, 1 Let s = -2072201/327 - -6337. Let y = 349/3597 + s. Determine h so that -2/11*h**3 + 2/11*h**2 - y*h**4 - 1/11 + 1/11*h**5 + 1/11*h = 0. -1, 1 Let l(q) = 3*q**3 + q**2 + q - 321. Let i be l(0). Let n be i/(-108) - (-24)/(-108). Factor 1/4*m**2 - n - 5/2*m. (m - 11)*(m + 1)/4 Suppose -3*b = b + 4. Let t(q) = 4*q**2 - 4*q. Let v(m) = -m**3 + 1. Suppose -8 = 13*w - 60. Let k(l) = b*t(l) + w*v(l). Factor k(r). -4*(r - 1)*(r + 1)**2 Let o(v) be the second derivative of -v**4/54 + 19*v**3/27 + 40*v**2/3 - 701*v. Factor o(s). -2*(s - 24)*(s + 5)/9 Suppose -31/4*x**2 - x**5 - 3 - 59/4*x + 63/4*x**3 + 43/4*x**4 = 0. What is x? -1, -1/4, 1, 12 Determine b so that 180*b**2 + 2*b**5 - b**3 - 90*b**4 - 2 - 6722*b - 88 - 3*b**3 + 6724*b + 0*b**3 = 0. -1, 1, 45 Let p = 104 - 110. Let c be (p/16)/((-297)/132). Factor -c*r + 1/3 - 1/6*r**2. -(r - 1)*(r + 2)/6 Suppose 5*o - 10 = 0, -4*g + 2*o - 2 = -3*g. Suppose -2*y - g*y = 5*d - 228, y = 2. Find w, given that -36*w**2 + 8*w**4 + 12*w**3 - 4*w**4 + d*w**2 = 0. -2, -1, 0 Suppose 12*m + 12443 = 35*m. Suppose m*w = 520*w + 63. Factor 5/11 + 1/11*s**w + 7/11*s**2 + s. (s + 1)**2*(s + 5)/11 Let n(d) = 50*d**2 + 699*d + 719. Let v(m) = -65*m**2 - 933*m - 958. Let y(q) = 9*n(q) + 7*v(q). Factor y(g). -5*(g + 1)*(g + 47) Factor -41472/11 - 1728/11*v**2 + 96/11*v**3 + 13824/11*v - 2/11*v**4. -2*(v - 12)**4/11 Let j = -34/44287 + 607529372/398583. Factor 38/3*m**2 - 722/3*m + j - 2/9*m**3. -2*(m - 19)**3/9 Let p = 37 + -33. Let x(j) be the first derivative of -4*j**3 - j**p - 12*j**2 - 11 + 20 + 11 + 20*j**2. Factor x(g). -4*g*(g - 1)*(g + 4) Suppose 17248 = 24*d - 8*d. Let s = 4315/4 - d. Let 0*v**3 + 3/4*v + 3/2*v**2 + 0 - s*v**5 - 3/2*v**4 = 0. What is v? -1, 0, 1 Let g(f) = -2*f + 55. Let s be g(25). What is p in 8*p + 2*p**2 - p - s*p - 6*p = 0? 0, 2 Let m be (-8)/(-80)*(-2)/(-6). Let w(x) be the third derivative of -1/6*x**4 - 30*x**2 + m*x**6 - 2/3*x**3 + 1/20*x**5 + 1/210*x**7 + 0*x + 0. Factor w(z). (z - 1)*(z + 1)*(z + 2)**2 Let r be ((-24)/(-18))/(9/81*-6) + (-33)/(-12). Factor -1 + 1/4*z**3 + r*z**2 + 0*z. (z - 1)*(z + 2)**2/4 Let h(t) = 210*t**2 - 143805*t + 64800130. Let v(w) = 13*w**2 - 8988*w + 4050008. Let c(g) = 4*h(g) - 65*v(g). Find l such that c(l) = 0. 900 Let a(d) = 2*d**2 - 2*d**2 + 923*d - 910*d - 2*d**2 - 18. Let z be a(3). Find t, given that 0 - 1/2*t**4 + 0*t + t**z + 0*t**2 = 0. 0, 2 Let k(r) be the first derivative of -r**5/135 - 5*r**4/27 - 50*r**3/27 - 124*r**2 - 109. Let g(a) be the second derivative of k(a). Factor g(y). -4*(y + 5)**2/9 Factor -1172889/2 + 1083*j - 1/2*j**2. -(j - 1083)**2/2 Let f = 43 + -11. Suppose 112*g - 93*g = 57. Factor 46 - 4*y**4 + 62 - 70*y**2 + 18*y**2 - 20*y**2 - f*y**g. -4*(y - 1)*(y + 3)**3 Solve -1156251 + 1154046 + o**2 - 21*o + 28*o + 2*o**2 + 95*o = 0. -49, 15 Let z(y) = y**2 - 14*y - 70. Let d be z(18). Suppose 4*t**3 - 13*t**2 - 20*t - 12*t + 5*t**2 + 16*t**d = 0. What is t? -4, 0, 2 Let g be ((-6)/(-90))/(36/(-45) - 2/(-2)). Factor -1/3*n**3 + 0 - g*n**4 + 5/3*n**2 - n. -n*(n - 1)**2*(n + 3)/3 Let q(w) be the first derivative of -2*w**5/5 - 13*w**4/9 - 14*w**3/27 + 26*w**2/9 + 32*w/9 + 3427. Solve q(f) = 0. -2, -1, -8/9, 1 Let f(y) be the second derivative of y**6/120 - y**5/20 - 2*y - 448. Factor f(n). n**3*(n - 4)/4 Suppose 0*t + 2*k - 16 = -2*t, -3*t + 5*k - 8 = 0. Suppose t*f = 2*z - 4, 64*z = 60*z + 8. Find q such that 0 + 2/5*q**3 - 4/5*q**2 + f*q = 0. 0, 2 Let t be (8/10)/(-4) + (-72)/(-90). Factor 6*q**2 + t*q**3 + 0 + 15*q. 3*q*(q + 5)**2/5 Let t(n) be the first derivative of 24*n + 1/3*n**3 - 143 - 7*n**2. Solve t(k) = 0. 2, 12 Let v(f) = -f**4 + 16*f**3 - 4*f**2 - 54*f - 29. Let z(m) = 29*m**3 - 10*m**2 - 108*m - 59. Let w(a) = 5*v(a) - 2*z(a). Factor w(b). -(b - 3)**2*(b + 1)*(5*b + 3) Factor -2/3*x**5 + 0*x - 16/3*x**4 - 32/3*x**2 - 40/3*x**3 + 0. -2*x**2*(x + 2)**2*(x + 4)/3 Let s(h) = -h + 86. Let l be s(86). Let y(z) be the third derivative of 0*z - 1/96*z**4 - 1/240*z**5 + l + 1/4*z**3 - 13*z**2. Factor y(p). -(p - 2)*(p + 3)/4 Let a = -9389 + 9398. Let r(i) be the second derivative of -1/15*i**6 + a*i**2 - 3/5*i**5 + 0 - 4/3*i**4 + 2*i**3 + 26*i. What is v in r(v) = 0? -3, -1, 1 Let x be 58240/13728 + 30/(-33). Solve 2/3*d**2 - x*d + 4 = 0. 2, 3 Let v(w) be the first derivative of 5*w**6/6 + w**5 - 5*w**4/2 - 10*w**3/3 + 5*w**2/2 + 5*w - 31. Factor v(t). 5*(t - 1)**2*(t + 1)**3 Let s = -1513 - -1522. Let p(h) = 4*h**3 - 38*h**2 + 17*h + 14. Let b be p(s). Let -5/2*j**2 - 5/2*j + b = 0. What is j? -2, 1 Let z(w) be the third derivative of 2*w**7/105 + 2*w**6/15 - 17*w**5/5 + 15*w**4 - w**2 - 156. Suppose z(x) = 0. What is x? -10, 0, 3 Find t such that 447/5 - 448/5*t + 1/5*t**2 = 0. 1, 447 Let g(t) be the first derivative of -3*t**5 - 92395*t**4/4 - 63242665*t**3 - 129921487425*t**2/2 - 86530028770*t + 96. Factor g(b). -5*(b + 2053)**3*(3*b + 2) Let i(x) be the third derivative of -x**7/840 - x**6/90 + x**5/30 + 2*x**4/3 - 73*x**3/2 + 98*x**2. Let t(l) be the first derivative of i(l). Factor t(v). -(v - 2)*(v + 2)*(v + 4) Let z(f) be the second derivative of f**9/158760 - f**8/23520 + f**7/13230 + 11*f**4/6 + 2*f. Let r(a) be the third derivative of z(a). Factor r(n). 2*n**2*(n - 2)*(n - 1)/21 Let w(k) = -k**3 - 37*k**2 - 37*k - 21. Let h be w(-36). Let i be (-3 + -12)*h/(-315). Factor -3/7 + 1/7*l**3 - i*l - 1/7*l**2. (l - 3)*(l + 1)**2/7 Let j be (3051/630)/(144/238) - 8. Let r(f) be the third derivative of 1/12*f**3 - 19*f**2 + 1/32*f**4 + 0*f + 0 + j*f**5. Factor r(p). (p + 1)*(p + 2)/4 Let p(y) be the third derivative of -y**7/490 - y**6/35 - 13*y**5/140 + 15*y**4/28 + 36*y**3/7 - 551*y**2. Determine c, given that p(c) = 0. -4, -3, 2 Let t(l) = 2*l**2 - l - 1. Let y(h) = 13*h**2 - 48*h + 435. Let o(i) = i + 1. Let v be o(0). Let b(g) = v*y(g) - 6*t(g). Suppose b(q) = 0. Calculate q. 21 Let w = 280469/40 - 56017/8. Suppose 0 + w*g + 3*g**2 = 0. Calculate g. -16/5, 0 Let v(f) = 4*f**2 - f - 1. Let l(y) = -21*y**2 - y + 21. Let b(c) = l(c) + 5*v(c). Factor b(d). -(d - 2)*(d + 8) Let 2/7*t**2 - 3188/7*t + 1270418/7 = 0. Calculate t. 797 Suppose 33*x + 3 - 69 = 0. Let j = 67/4 - 311/20. Factor -9/5*y - j + 3*y**x. 3*(y - 1)*(5*y + 2)/5 Let y be (-3465)/(-132) - 9/(-12). Let b be (85/153)/(6/y). Factor -b*x**4 + 10*x**3 + 0 + 5/2*x**2 - 10*x. -5*x*(x - 4)*(x - 1)*(x + 1)/2 Let j(l) be the third derivative of -l**6/24 - 239*l**5/12 + 2435*l**4/8 - 3675*l**3/2 + 61*l**2 - 108. Factor j(g). -5*(g - 3)**2*(g + 245) Let a be 8/((-8)/2) - 2/(-1). Suppose -n = -a*n - 2*w - 12, n + 2*w + 8 = 0. Factor -1/2*r**n - 3/2 - 2*r. -(r + 1)*(r + 3)/2 Factor 1935*k**2 + 11820*k - 6985620 - 981*k**2 - 959*k**2. -5*(k - 1182)**2 Let u(r) be the third derivative of -r**5/570 - r**4/57 + 15*r**3/19 + 15*r**2 + 17. Determine c so that u(c) = 0. -9, 5 Let q(l) be the third derivative of l**5/270 + 35*l**4/54 - 73*l**3/9 - 247*l**2. Factor q(h). 2*(h - 3)*(h + 73)/9 Let f(w) be the second derivative of -16*w**2 + 27*w**4 - 6/7*w**7 + w + 5 + 79/5*w**5 + 28/3*w**3 + 22/15*w**6. Solve f(d) = 0 for d. -1, 2/9, 4 Suppose 48*c + 25*c = -13*c - 37*c. Let o(f) be the third derivative of c*f**3 + 0*f + 2/105*f**5 - 1/140*f**6 - 1/84*f**4 + 0 - 11*f**2. What is m in o(m) = 0? 0, 1/3, 1 Let -847*w**2 - 2457 - 27*w**5 - 95*w**2 + 2193 + 948*w - 21*w**3 + 306*w**4 = 0. Calculate w. -2, 2/3, 1, 11 Let o = 186 + -180. Factor 26*r + 5*r**3 + 33*r**2 - 7*r**2 - 11*r - o*r**2. 5*r*(r + 1)*(r + 3) Find q such that -16/9 + q**3 + 20/9*q + 32/9*q**2 = 0. -2, 4/9 What is n in 1320 + 264/5*n**4 - 9/5*n**5 + 2052*n - 546/5*n**2 - 1449/5*n**3 = 0? -2, -2/3, 5, 22 Let o(j) be the third derivative of j**7/525 + j**6/300 - 2*j**5/75 - j**4/15 - 6*j**2 + 50*j. Factor o(c). 2*c*(c - 2)*(c + 1)*(c + 2)/5 Sup
{ "pile_set_name": "DM Mathematics" }
+ 0*c**3 + 0 + 1/150*c**5 + 0*c**4 + 0*c. Suppose y(i) = 0. Calculate i. 0 Solve 14/9*i + 2/3 + 10/9*i**2 + 2/9*i**3 = 0 for i. -3, -1 Let u(x) = 3*x**3 + 2*x**2 + 2*x + 1. Let i be u(-1). Let v = 4 + i. What is g in 0*g**2 + 5*g**2 - 2*g - 3*g**v = 0? 0, 1 Let l(t) = -t - 8. Let d be l(-10). Suppose 4*v**3 + 2*v**5 - 4*v**d - 4*v**3 + 4*v**4 + 0*v**4 - 2*v = 0. What is v? -1, 0, 1 Let v(w) be the first derivative of -4/55*w**5 + 0*w**3 - 1/33*w**6 + 0*w**2 + 0*w - 7 - 1/22*w**4. Factor v(d). -2*d**3*(d + 1)**2/11 Let q = -173/3 - -58. Determine g, given that 1/3*g**4 + 1/3*g - 1/3*g**3 - q*g**2 + 0 = 0. -1, 0, 1 Suppose -4 = -5*t + 4*c, 3*c = -5*t - 0*t - 3. Factor k**3 + 0 - 3*k**4 - 7/4*k**5 + t*k + 0*k**2. -k**3*(k + 2)*(7*k - 2)/4 Let s = 51 - 49. Let h(a) be the third derivative of 1/60*a**5 - 1/210*a**7 - 1/40*a**6 + 0*a + 0*a**3 + 1/12*a**4 + 0 + 1/336*a**8 - 3*a**s. Factor h(c). c*(c - 2)*(c - 1)*(c + 1)**2 Suppose -5*p = 4*z - 8 - 77, 3*z - 61 = -p. Suppose a - 5*d - z = -3*a, -3*a - 3*d = -15. Factor 0*j + 2/5*j**3 + 0 + 2/5*j**2 - 2/5*j**4 - 2/5*j**a. -2*j**2*(j - 1)*(j + 1)**2/5 Suppose a - i + 2 = 0, 0 = -5*i + 10. Suppose 0 - 1/5*d**4 + a*d - 4/5*d**2 - 4/5*d**3 = 0. Calculate d. -2, 0 Let o(r) be the first derivative of -r**4/18 - 2*r**3/9 - r**2/3 - 2*r/9 + 2. Factor o(l). -2*(l + 1)**3/9 Determine q so that 0 + 3/2*q**5 + 6*q**4 + 9/2*q**3 - 6*q**2 - 6*q = 0. -2, -1, 0, 1 Let 44*x + 41*x - 40*x**4 + 5 + 10 + 150*x**2 + 60*x**3 = 0. What is x? -1/2, 3 Let p(j) be the first derivative of -3/2*j**4 + 1 + 0*j + 3/2*j**2 - j**3. Factor p(g). -3*g*(g + 1)*(2*g - 1) Let a(p) be the first derivative of -p**4/36 - p - 3. Let v(r) be the first derivative of a(r). Determine i, given that v(i) = 0. 0 Let n(q) be the second derivative of -q**7/8820 - q**6/630 - q**5/140 + 2*q**4/3 + 2*q. Let f(b) be the third derivative of n(b). Let f(t) = 0. Calculate t. -3, -1 Let h(c) be the third derivative of c**7/945 - c**6/540 - c**5/270 + c**4/108 - 27*c**2. Suppose h(u) = 0. What is u? -1, 0, 1 Let v(t) be the third derivative of 0 + 0*t**3 - 7/20*t**5 + 2*t**2 + 0*t - 1/4*t**4. Factor v(d). -3*d*(7*d + 2) Let k be (52/(-10))/(1/(-50)). Let b be -3 - (k/(-36) - -2). Let -2/9 - 8/3*x**2 - 2/3*x**4 - b*x**3 - 4/3*x = 0. Calculate x. -1, -1/3 Let m(a) be the first derivative of -a**4/12 + a**3/10 + a**2/5 + 2*a - 1. Let v(h) be the first derivative of m(h). Factor v(x). -(x - 1)*(5*x + 2)/5 Suppose 3*t - h - 3*h - 29 = 0, -11 = -2*t + h. Let s(m) be the third derivative of 0*m - 1/12*m**t - 1/240*m**5 + 0 - m**2 + 1/32*m**4. Factor s(z). -(z - 2)*(z - 1)/4 Let o = 52 + -935/18. Let m(k) be the first derivative of -2/27*k**3 - o*k**4 + 2/9*k + 1/9*k**2 - 2. Find s, given that m(s) = 0. -1, 1 Suppose y = 6*y + 135. Let f = y + 27. What is v in -1/3*v + 1/3*v**3 + 0*v**2 + f = 0? -1, 0, 1 Let t = 1036/45 - 114/5. Let d(a) be the first derivative of -3 + 1/3*a**2 + 0*a - t*a**3. Let d(g) = 0. What is g? 0, 1 Let g(z) be the second derivative of -2*z + 0 + 1/40*z**5 + 0*z**2 - 1/12*z**3 + 1/15*z**6 - 1/6*z**4. Factor g(r). r*(r - 1)*(r + 1)*(4*r + 1)/2 Let g(y) be the first derivative of y**6/120 + y**5/15 + y**4/8 - 4*y**2 - 7. Let n(p) be the second derivative of g(p). Factor n(t). t*(t + 1)*(t + 3) Let p = -16 - -16. Let -q + 39 + 2*q**4 - q - 4*q**2 + 4*q**3 - 37 - 2*q**5 + p*q**3 = 0. What is q? -1, 1 Let y(t) = 11*t**3 + 2*t**2 - 3*t + 3. Let f = 4 - 6. Let a(w) = 24*w**3 + 3*w**2 - w**2 - 14*w**3 - 2*w + 2. Let h(d) = f*y(d) + 3*a(d). Solve h(m) = 0. -1/4, 0 Let a = -243 - -731/3. Factor 2/3*c**2 + 0 - a*c + 2/3*c**3 - 2/3*c**4. -2*c*(c - 1)**2*(c + 1)/3 Let z(x) be the third derivative of 0 + 1/12*x**4 + 0*x + 1/3*x**3 - 1/60*x**6 - 1/30*x**5 + 6*x**2. Determine k, given that z(k) = 0. -1, 1 Let z(x) be the first derivative of -x**7/756 - 2*x**6/405 - x**5/540 + x**4/54 + 8*x**3/3 + 5. Let n(h) be the third derivative of z(h). Factor n(o). -2*(o + 1)**2*(5*o - 2)/9 Let q(h) be the first derivative of h**5/10 - h**4/3 - h**3/3 + 2*h**2 - h + 2. Let w(a) be the first derivative of q(a). Factor w(f). 2*(f - 2)*(f - 1)*(f + 1) Let d(r) be the second derivative of -r**5/10 + r**4/6 - r - 47. Find o such that d(o) = 0. 0, 1 Let p(m) be the third derivative of 0*m**7 - 1/1344*m**8 + 2*m**2 - 1/32*m**4 + 1/12*m**3 + 1/120*m**6 + 0 + 0*m - 1/120*m**5. Factor p(q). -(q - 1)**3*(q + 1)*(q + 2)/4 Let r(w) be the third derivative of w**6/40 + w**5/10 - w**4/8 - w**3 - 2*w**2. Let r(l) = 0. Calculate l. -2, -1, 1 Let q(f) be the third derivative of -f**7/210 - f**6/120 + f**5/60 + f**4/24 + 10*f**2. Factor q(k). -k*(k - 1)*(k + 1)**2 Factor 0 - 3/2*a - 3/4*a**2. -3*a*(a + 2)/4 Let a be (4/12)/(2/30). Suppose -a*c = -4*c. Find s such that 0 + c*s - 2/5*s**2 + 1/5*s**3 + 1/5*s**4 = 0. -2, 0, 1 Let p(d) be the first derivative of d**5/60 - d**4/36 - 2*d - 2. Let i(f) be the first derivative of p(f). Solve i(j) = 0 for j. 0, 1 Let b(w) be the third derivative of w**7/630 + w**6/360 - w**5/60 - 5*w**4/72 - w**3/9 + 16*w**2. Factor b(a). (a - 2)*(a + 1)**3/3 Let j = 71 - 71. Suppose j - 4/13*d**2 - 2/13*d**5 + 2/13*d + 4/13*d**4 + 0*d**3 = 0. What is d? -1, 0, 1 Let s(f) be the second derivative of f**7/10080 - f**6/1440 + f**5/480 - f**4/12 - f. Let z(q) be the third derivative of s(q). Factor z(t). (t - 1)**2/4 Find a, given that -3*a**2 - 2*a**4 + 0*a**2 + a**2 + 4*a**2 = 0. -1, 0, 1 Let z be ((-29)/(-10) - 3)/(6/(-4)). Let k(c) be the second derivative of 1/12*c**4 + 0*c**2 + 0 - c - z*c**3. Solve k(w) = 0 for w. 0, 2/5 Suppose 1 = -4*x - 3*w, -3*x - 2 - 1 = 3*w. Let k(s) be the second derivative of s**x + 0 - 1/10*s**5 + 1/3*s**3 + 2*s - 1/6*s**4. Solve k(c) = 0. -1, 1 Let x(y) be the third derivative of -y**7/360 - y**6/360 - y**4/6 + 3*y**2. Let h(c) be the second derivative of x(c). Solve h(r) = 0. -2/7, 0 Let l = 7 + -5. Factor 4*z**l + 7*z**3 + z**3 + 0*z**3. 4*z**2*(2*z + 1) Let l = -11/5 + 12/5. Let f be 0/(20/4 + -4). Factor 0*q - l*q**5 + 0*q**2 + f*q**3 + 1/5*q**4 + 0. -q**4*(q - 1)/5 Let g be (-6)/9*1 + 112. Let z = -110 + g. Let -3*v**3 + v**2 - z + 8/3*v = 0. Calculate v. -1, 2/3 Let x(u) = 2*u**3 - 2*u**2 - 2*u. Let z = 11 - 7. Suppose -2*o = 2*r, -z*o + r - 6 = o. Let d(n) = -n**2. Let v(p) = o*x(p) + 2*d(p). Factor v(i). -2*i*(i - 1)*(i + 1) Let u(v) be the second derivative of -v**5/30 + v**3/3 - 7*v**2/2 + v. Let y(z) be the first derivative of u(z). Let y(k) = 0. What is k? -1, 1 Suppose 0 = -z - 2*z + 12. Let g(j) be the third derivative of -1/15*j**3 + 0 + 0*j**z + 0*j + j**2 + 1/150*j**5. Factor g(f). 2*(f - 1)*(f + 1)/5 Suppose 0 = 5*z - 7*r + 2*r - 60, 0 = z - 3*r - 6. Let -o**2 - 10*o**2 - 4*o + z*o**2 = 0. Calculate o. 0, 1 Let l = 706 + -291. Let p = -2066/5 + l. Factor 6/5*b**2 - 9/5*b**4 + 3/5 + p*b - 6/5*b**3 - 3/5*b**5. -3*(b - 1)*(b + 1)**4/5 Let y(w) be the second derivative of w**4/48 + 12*w. Solve y(j) = 0. 0 Factor 3/2*d**3 - 33/4*d**2 + 39/4*d - 3. 3*(d - 4)*(d - 1)*(2*d - 1)/4 Factor -4*s + 0 + 4/5*s**2. 4*s*(s - 5)/5 Let z(o) = 4*o**3 + 12*o**2 + 15*o + 1. Let t(m) = m - 1. Let k(u) = 3*t(u) - z(u). Factor k(s). -4*(s + 1)**3 Let v(g) be the third derivative of 0 + 0*g + 1/3*g**3 - 3*g**2 - 1/18*g**4 + 1/270*g**5. Let v(b) = 0. What is b? 3 Let a(l) = -l**2 - 2*l - 2. Let k be a(-3). Let i be -15*k/((-45)/(-6)). Solve 6*d + i*d**5 + 6*d**4 - 6*d - 4*d**3 = 0 for d. -1, 0, 2/5 Let q(f) be the first derivative of -2*f**5/45 + 2*f**3/27 + 5. Factor q(z). -2*z**2*(z - 1)*(z + 1)/9 Let y be (-32)/(-7) - (-4)/(-1). Factor 2/7*p - y*p**2 + 2/7*p**3 + 0. 2*p*(p - 1)**2/7 Let x = -31 + 31. Let n(u) be the third derivative of 1/48*u**4 + 0*u**3 + 1/240*u**5 - 3*u**2 + x*u + 0. Let n(i) = 0. What is i? -2, 0 Factor 5/2*d**3 + 0 - 9/4*d**2 + 1/2*d - 3/4*d**4. -d*(d - 2)*(d - 1)*(3*d - 1)/4 Let g(o) be the third derivative of 0*o**3 + 0*o**4 - 1/180*o**5 + 0 + 0*o + 2/315*o**7 - 1/120*o**6 + 4*o**2. Determine s so that g(s) = 0. -1/4, 0, 1 Let y(m) be the first derivative of 2*m**3/21 - 3*m**2/7 + 18. Factor y(i). 2*i*(i - 3)/7 Find q such that 0 - 4/3*q + 4/3*q**2 = 0. 0, 1 Suppose -117*l - 88*l**2 - 12 - 28*l**4 + 43*l - 72*l**3 + 22*l - 4*l**5 = 0. Calculate l. -3, -1 Let v be -5 + 6 - 478/480. Let g(f) be the third derivative
{ "pile_set_name": "DM Mathematics" }
nutes are there between 2:39 PM and 1:23 AM? 644 How many minutes are there between 12:33 AM and 5:10 AM? 277 How many minutes are there between 1:58 AM and 4:50 AM? 172 What is 528 minutes after 2:20 PM? 11:08 PM What is 354 minutes after 4:18 PM? 10:12 PM How many minutes are there between 5:26 AM and 6:02 AM? 36 How many minutes are there between 7:39 AM and 2:27 PM? 408 How many minutes are there between 1:56 AM and 8:55 AM? 419 What is 302 minutes after 2:35 AM? 7:37 AM What is 323 minutes before 4:25 PM? 11:02 AM How many minutes are there between 7:18 PM and 11:30 PM? 252 What is 715 minutes before 10:30 AM? 10:35 PM What is 508 minutes before 10:47 PM? 2:19 PM What is 153 minutes before 12:39 AM? 10:06 PM What is 266 minutes before 4:32 AM? 12:06 AM What is 553 minutes after 2:05 AM? 11:18 AM How many minutes are there between 8:45 PM and 1:54 AM? 309 What is 49 minutes before 3:40 PM? 2:51 PM What is 52 minutes before 8:37 AM? 7:45 AM What is 401 minutes before 6:51 AM? 12:10 AM What is 439 minutes before 7:35 AM? 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132 What is 117 minutes after 10:01 AM? 11:58 AM How many minutes are there between 2:36 PM and 1:03 AM? 627 How many minutes are there between 3:02 PM and 5:57 PM? 175 How many minutes are there between 2:30 AM and 11:20 AM? 530 What is 320 minutes after 4:21 PM? 9:41 PM How many minutes are there between 4:22 AM and 3:43 PM? 681 What is 715 minutes after 1:20 PM? 1:15 AM What is 265 minutes after 5:10 PM? 9:35 PM How many minutes are there between 10:30 AM and 5:33 PM? 423 How many minutes are there between 6:03 AM and 1:51 PM? 468 How many minutes are there between 12:33 AM and 9:00 AM? 507 How many minutes are there between 7:09 AM and 12:18 PM? 309 How many minutes are there between 5:46 AM and 5:06 PM? 680 How many minutes are there between 10:11 PM and 6:24 AM? 493 How many minutes are there between 10:38 AM and 9:03 PM? 625 What is 41 minutes after 12:40 PM? 1:21 PM How many minutes are there between 12:47 AM and 1:26 AM? 39 What is 295 minutes after 9:06 AM? 2:01 PM What is 67 minutes after 3:02 AM? 4:09 AM What is 14 minutes before 12:47 PM? 12:33 PM How many minutes are there between 3:31 AM and 1:38 PM? 607 What is 289 minutes after 6:33 AM? 11:22 AM How many minutes are there between 1:07 AM and 10:14 AM? 547 What is 136 minutes before 9:45 AM? 7:29 AM What is 82 minutes before 6:25 PM? 5:03 PM How many minutes are there between 5:16 AM and 10:09 AM? 293 What is 56 minutes after 5:50 AM? 6:46 AM How many minutes are there between 1:38 AM and 10:54 AM? 556 How many minutes are there between 7:07 PM and 11:58 PM? 291 What is 286 minutes before 7:07 PM? 2:21 PM What is 50 minutes before 8:21 AM? 7:31 AM What is 552 minutes before 6:29 AM? 9:17 PM How many minutes are there between 12:24 AM and 8:00 AM? 456 What is 387 minutes before 8:14 AM? 1:47 AM What is 203 minutes before 11:32 PM? 8:09 PM What is 700 minutes before 6:51 AM? 7:11 PM How many minutes are there between 5:47 AM and 7:42 AM? 115 What is 2 minutes before 10:27 AM? 10:25 AM What is 585 minutes before 7:59 AM? 10:14 PM What is 11 minutes after 12:17 PM? 12:28 PM What is 705 minutes after 2:45 AM? 2:30 PM How many minutes are there between 6:09 AM and 10:58 AM? 289 What is 243 minutes before 6:15 AM? 2:12 AM How many minutes are there between 12:14 AM and 1:03 AM? 49 How many minutes are there between 4:11 AM and 4:49 AM? 38 How many minutes are there between 3:01 PM and 2:04 AM? 663 What is 453 minutes after 9:21 PM? 4:54 AM How many minutes are there between 6:31 PM and 4:15 AM? 584 How many minutes are there between 9:14 PM and 1:10 AM? 236 What is 688 minutes after 12:44 AM? 12:12 PM What is 508 minutes after 10:31 AM? 6:59 PM How many minutes are there between 9:40 AM and 11:47 AM? 127 How many minutes are there between 11:35 AM and 9:32 PM? 597 What is 115 minutes before 12:28 AM? 10:33 PM How many minutes are there between 12:36 AM and 4:19 AM? 223 What is 657 minutes after 6:32 AM? 5:29 PM How many minutes are there between 9:47 AM and 10:39 AM? 52 How many minutes are there between 6:39 PM and 4:15 AM? 576 What is 667 minutes after 11:57 AM? 11:04 PM How many minutes are there between 4:15 PM and 7:42 PM? 207 What is 202 minutes after 1:51 AM? 5:13 AM What is 158 minutes before 10:37 AM? 7:59 AM How many minutes are there between 5:41 AM and 1:52 PM? 491 What is 502 minutes after 4:26 AM? 12:48 PM How many minutes are there between 12:21 AM and 1:15 AM? 54 How many minutes are there between 12:32 AM and 6:46 AM? 374 What is 535 minutes after 2:42 AM? 11:37 AM What is 260 minutes before 4:13 AM? 11:53 PM What is 428 minutes after 5:07 AM? 12:15 PM How many minutes are there between 1:30 PM and 5:13 PM? 223 What is 137 minutes after 9:50 AM? 12:07 PM How many minutes are there between 2:23 AM and 10:34 AM? 491 What is 444 minutes before 2:57 PM? 7:33 AM How many minutes are there between 9:02 AM and 3:01 PM? 359 How many minutes are there between 2:01 PM and 10:26 PM? 505 How many minutes are there between 8:52 PM and 6:43 AM? 591 What is 462 minutes before 3:51 PM? 8:09 AM What is 20 minutes before 12:07 AM? 11:47 PM What is 681 minutes after 3:33 PM? 2:54 AM How many minutes are there between 8:35 AM and 8:29 PM? 714 What is 526 minutes after 8:09 AM? 4:55 PM How many minutes are there between 4:24 AM and 6:30 AM? 126 How many minutes are there between 9:17 PM and 12:32 AM? 195 How many minutes are there between 7:35 AM and 2:31 PM? 416 What is 502 minutes after 11:55 PM? 8:17 AM How many minutes are there between 11:29 AM and 7:57 PM? 508 How many minutes are there between 8:10 PM and 1:19 AM? 309 What is 584 minutes after 6:31 AM? 4:15 PM What is 136 minutes after 9:16 PM? 11:32 PM What is 493 minutes before 1:29 AM? 5:16 PM What is 4 minutes before 2:59 PM? 2:55 PM What is 136 minutes before 5:40 PM? 3:24 PM How many minutes are there between 4:31 AM and 12:59 PM? 508 How many minutes are there between 3:22 AM and 8:35 AM? 313 How many minutes are there between 5:27 PM and 3:03 AM? 576 What is 570 minutes after 6:10 PM? 3:40 AM What is 310 minutes after 4:36 PM? 9:46 PM What is 209 minutes before 8:37 AM? 5:08 AM What is 327 minutes before 8:09 PM? 2:42 PM What is 305 minutes after 12:06 AM? 5:11 AM What is 35 minutes before 2:06 PM? 1:31 PM What is 142 minutes before 1:23 PM? 11:01 AM What is 468 minutes before 10:49 PM? 3:01 PM What is 691 minutes after 11:22 PM? 10:53 AM How many minutes are there between 8:09 AM and 2:16 PM? 367 How many minutes are there between 12:11 PM and 8:36 PM? 505 How many minutes are there between 5:30 AM and 8:44 AM? 194 How many minutes are there between 3:28 PM and 5:19 PM? 111 How many minutes are there between 5:11 AM and 9:17 AM? 246 How many minutes are there between 3:02 PM and 10:48 PM? 466 What is 581 minutes before 6:40 AM? 8:59 PM How many minutes are there between 3:56 AM and 12:33 PM? 517 How many minutes are there between 9:27 AM and 8:52 PM? 685 What is 97 minutes after 1:28 AM? 3:05 AM How many minutes are there between 11:52 PM and 11:31 AM? 699 How many minutes are there between 10:44 PM and 4:12 AM? 328 What is 279 minutes after 5:00 AM? 9:39 AM Ho
{ "pile_set_name": "DM Mathematics" }
**(-3)/(c*c**(-35)))/(c**(-16)*c**(15/2)) assuming c is positive. c**(79/2) Simplify ((r**(3/4)/(r*(r/((r*r*r**(2/59))/r)*r)/r))/((r**(1/2)*r)/(((r**(1/6)/r)/r)/r*r)))**34 assuming r is positive. r**(-42721/354) Simplify ((l**9/l**5)/(l**(-3)*l*l**(5/3)))/((l/l**0)**(1/12)*((l/l**(-2/5))/l)**(-6)) assuming l is positive. l**(133/20) Simplify (t**(-6)*t**1*(t**(1/4))**(-25))/((t/t**7)/t**5)**(-12/7) assuming t is positive. t**(-843/28) Simplify ((m**(-2/9)/m*m)/(m/((m*m**(-4/5))/m)))/((m/m**(2/5))/(m*m*m**2*m*m))*((m**0*m)/(m/(m**(-3/4)*m)))**(-17) assuming m is positive. m**(-157/180) Simplify (m/(m*m**1/m))/(m/m**1)*m*m**1*m*m**(2/13)*(m**(-1))**(-13)/(m**(1/3)*m*m/((m**4*m)/m)) assuming m is positive. m**(695/39) Simplify ((s*s/((s*s**(-45))/s))**(-19/4)*(s**(2/41))**(10/3))**(-46) assuming s is positive. s**(2524457/246) Simplify ((t**(-1/3))**(8/11)/(t**(-1/2))**(-3/35))/(t*t**7*t**(2/15))**(-28) assuming t is positive. t**(35027/154) Simplify (d**(-4/27)*d*d/d**5*d)/((d/(d/(d*d**(-28)/d)*d))/(d*d**3)) assuming d is positive. d**(833/27) Simplify (((x/x**(2/7)*x)/x)/(x/(x*x**(-2/11)*x*x*x)))**(2/51)*x**4*x/x**(2/11)*x**(-2)*x/((x**(2/11)/x)/x) assuming x is positive. x**(1334/231) Simplify ((f**(-15))**(1/4)/((f/((f*((f*f**(3/10))/f)/f*f)/f))/(f**4/f)))**(-7) assuming f is positive. f**(203/20) Simplify ((((v*(v/v**(-2/3)*v)/v*v)/v)**(-44))**5)**47 assuming v is positive. v**(-82720/3) Simplify ((u/u**(-10)*u)**23*u**(2/3)/u*u/u**(4/9))**(2/89) assuming u is positive. u**(4972/801) Simplify (((w**(4/5)/w**(2/9))/((((w/w**(1/5))/w)/w)/w**3))**(35/3))**(21/5) assuming w is positive. w**(2107/9) Simplify ((((v*v**(-1))**(-25/3))**(1/28))**(-1))**(-50) assuming v is positive. 1 Simplify (((r*r*(r/r**(-1))/r*r)/(r/(r/(r**2/r))))/(r**1/r)**25)/((((r*r/(r*r/(r/r**1*r*r*r)))/r)/r*r)**23/((r/(r*r**(-2/13)))/r**(-4))) assuming r is positive. r**(-505/13) Simplify ((k**(-2/9)/((k*k*k*k**(-3)*k)/k))/((k*k**(-2/3))/((k**4*k*k)/k)))/((k**(-1/6)*k/k**1)/(k**(2/3))**(-41)) assuming k is positive. k**(-409/18) Simplify ((h*h**7/h)**21/(h*h/(h/(h**17/h*h)))**(-19))**(-4/15) assuming h is positive. h**(-652/5) Simplify ((h*h**(1/2)/h)/h**(1/4)*(h**1)**45)/(h**(-2/13)/(h/((h*h/(h**(-2/17)*h)*h)/h))*(h*h*h/(h**(-3)*h)*h*h)/(h*h**(3/7))) assuming h is positive. h**(245755/6188) Simplify ((p**(-2/15)/p**15)**(5/2))**(-1/16) assuming p is positive. p**(227/96) Simplify (((l**37)**(10/19))**13)**(-4) assuming l is positive. l**(-19240/19) Simplify ((m**5/m)/((m/(m*m**(6/5)))/m))/(m/(m*m**(-1/4))*m**(1/8)*m)*((m*m**2*m)**(-32))**(29/2) assuming m is positive. m**(-74047/40) Simplify (((x/(x*(x**(-2/81)*x)/x))/x)/(x/x**(-2/5)))/(x*x**(3/10)/x)**(5/4) assuming x is positive. x**(-8911/3240) Simplify ((((((f/(((f**(15/2)*f)/f)/f))/f)/f)/f)/(f/f**(20/9)))/((f/f**10*f)/f)**11)**5 assuming f is positive. f**(8255/18) Simplify ((w/(w**(-2/11)/w))**(-44)*(w/w**(-10))/(w*w**(1/4)))**(18/13) assuming w is positive. w**(-3105/26) Simplify ((b*(b**(-8/7)/b)/b)/(b*b/(b**(-1/3)*b)*b)*((b*b/((b/b**(-2/15))/b))/b)/b**(5/4))/((b*b**(-4))**20)**17 assuming b is positive. b**(426359/420) Simplify ((s**2/s)**23/((s*s**(-7))/((s**(1/14)/s)/s)))**(3/32) assuming s is positive. s**(1137/448) Simplify (((q*q/q**(2/5))/q)**(-37)/(q**1)**(2/151))/((q*q*q/q**(1/6))/(q*q*q*q*(q/(q/q**(-4)))/q*q))**(2/49) assuming q is positive. q**(-2478172/110985) Simplify a**(-1/6)/(a/a**(-4/9))*(a/(a/a**(2/3)))/(a*a**(-5))*(a*a*(a*a*(a**(-3/2)/a)/a*a)/a*a*a/a**(-1))**(-15) assuming a is positive. a**(-445/9) Simplify (x**0*x)/x*x**23*x*x*(x*(x*x/((x/x**(1/14))/x))/x)/x*x*x**(-6/5) assuming x is positive. x**(1811/70) Simplify ((((((j**7/j)/j)/j)/j**(1/9))/(((j**(-12)/j)/j)/j*j**(-10)))**21)**(-2/11) assuming j is positive. j**(-3640/33) Simplify ((v/(v*(v*v/(v/v**(1/3))*v)/v*v))/v)**34/((v**5/v)/(v/(v/v**1)))*(v**4/(v*v**(-2)))**(-2/17) assuming v is positive. v**(-5963/51) Simplify (((v*v*v/(v*(v/(v*v*v**(-8/5)))/v)*v)/(v*v/(((v*v/v**(-1/29)*v)/v)/v*v)))/(v*v**(-11)*v*v**(-5/11)*v))**12 assuming v is positive. v**(227556/1595) Simplify ((q**(-3)/q)/q**4)/(q*q/q**0)**(2/91)*q**(-1/4)/q**6*q**(-5)/q**(-4) assuming q is positive. q**(-5567/364) Simplify (t/t**(-4/21))/(t/(t/(t*t/(t/t**(24/7)))))*t/(t/t**25)*t**(24/5) assuming t is positive. t**(2789/105) Simplify (((((i/(i*i**(-2)))/i)/i*i)/((i/(i/i**(-8/5)*i))/i))/(i*i**3)**(-34))**7 assuming i is positive. i**(4921/5) Simplify ((b*b**39)/b**24*(b*b/(b*b*b**(-27)))**(-2/27))**(3/7) assuming b is positive. b**6 Simplify ((a**(-7/5)*a)/a**0)**14*((a**(-2))**(2/3))**(-38) assuming a is positive. a**(676/15) Simplify (w/(w**(3/10)*w))/(w**(-2/19)/w)*w/(((w/(w*w**(-7/11)*w))/w)/w)*w**22 assuming w is positive. w**(54693/2090) Simplify ((i*(i*i/(i**(-2/3)/i))/i)/i**(2/9))/((i*(i*(i**(-1/2)/i)/i)/i)/i)**(-37)*i**(3/8)/((i**5*i)/i)*i/i**(3/4)*i*i**(-2/11)*i assuming i is positive. i**(-72557/792) Simplify ((((p**38/p)/p)/(p/((((p*(p/(p/(p/(p**(-5/6)/p))))/p)/p)/p*p*p)/p)))**(-35))**(2/41) assuming p is positive. p**(-7735/123) Simplify (((t*t/(t/t**(-1/11)))/t**(-3/4)*(t*t**6*t)/t*t**(2/7)/t)**26)**(-37) assuming t is positive. t**(-1177007/154) Simplify (((g**(-17)/g)/g)/((g/g**34)/g*g))/(g*g**(7/5)*(g**(-2/7)*g)/g) assuming g is positive. g**(416/35) Simplify (q**4/(q/(q**(-2/17)*q)))**(-2/67)/(q*q**6*q*(q/(q*q**(-2)/q))/q*q*q)**15 assuming q is positive. q**(-205152/1139) Simplify (v/(v*v**7)*v**7*v)/(v/v**(3/8)*((v*v**(2/7))/v)/v*v)*(v/(v**(-1)*v)*v*v*v)**(1/13)*v**(2/21)/(v**(-4)*v) assuming v is positive. v**(7627/2184) Simplify a**(-1)*a*a*a*a**(2/7)*(a/(a*a/a**(-2/9)*a)*a)/(a*a*a/(a/(a*a/a**(1/3)*a*a))*a)*(a*a**(-1))**0/((a*a**1)/(a*(a*a**(1/2)*a)/a)) assuming a is positive. a**(-643/126) Simplify ((x**5)**(-11/3)*(x/(x*(x/(x/(x*x**23*x)))/x))/((x/(x/(x*x**(7/6))))/x))**(-1/39) assuming x is positive. x**(29/26) Simplify (t**(3/4)/t**(1/5))/(t**(2/23)*t/t**(2/5))*(t**4*t/t**(2/5)*t)/(t**6*t**2) assuming t is positive. t**(-1167/460) Simplify ((k*k**(-1/3)*k)**(11/4)*k**(-2/7)*k**3*k)/(k**8/k**9*k**(-3/11)*k*k**(-2/15)) assuming k is positive. k**(40211/4620) Simplify ((r/r**(3/8)*r*r)**(-1/31)*(r/r**13)**(-17/4))**(-49) assuming r is positive. r**(-618723/248) Simplify (j**(-2/11)/(j/j**(-1))*j*j**2*j*j**(1/2))/((j*j**(2/7))**9*(j**0/j)**23) assuming j is positive. j**(2117/154) Simplify ((u**(-2/15)/u*u*u*u)**(11/3)*u*u**16*u**(-15/2))**(1/6) assuming u is positive. u**(1471/540) Simplify ((((c**(-1/2)*c)/c*c*c)/c)**47*((c/(c*c**(1/4)))/c)**(-3/2))/(((c*c**(-1))/c)**(22/9)*(c*(c/(c**6/c)*c)/c)/((c**(-1/11)*c)/c)) assuming c is positive. c**(24337/792) Simplify (l**(-10)*l/(l*l**11))**(-1/9)/((l**4/l**(-2/5))/(l**(-5)*(l**(3/7)*l)/l)) assuming l is positive. l**(-697/105) Simplify a**(-39)/(a/(a**(-26)/a))*a**(15/8)/(a*a**(-24)) assuming a is positive. a**(-337/8) Simplify (x/x**3*x**(1/21))**(1/39)*((x*x**(-1)/x)/((x*x**(2/9))/x))/(x**(-1)/x)**(-48) assuming x is positive. x**(-79666/819) Simplify ((c**(2/33)/(c**14*c*c))/((c**(-1/3)*c)/((c/(c*c*(c/c**(-2/3))/c*c))/c)))**(2/39) assuming c is positive. c**(-446/429) Simplify ((b*b**(1/2)*b)**19)**(-1/2)/((b**(2/5)*b)/(b**(-1/2)*b))**(4/5) assuming b is positive. b**(-2447/100) Simplify (v**(-1/2)*v**(-6))**(-1/4)/((v**0*v)**(2/31))**(-10) assuming v is positive. v**(563/248) Simplify (p/(p**(-13)/p)*p/(p**(5/3)/p)*((p/((p/(p*p**(2/3)*p))/p))/p)/(p**(-7)/p*p))**(-6) assuming p is positive. p**(-150) Simplify ((y/(y*y*y/(y**1*y*y)))/y)**(-38)*y**(2/9)*y/y**6*y*(y**(2/5)/y)/y*y*y**2/y*(y/((y*y*y**(-1))/y)*y*y)**(-1/50) assuming y is positive. y**(-1547/450) Simplify (((j*j*(j*j**(-15))/j)**(-2/49))**(13/7))**(18/13) assuming j is positive. j**(468/343) Simplify ((b/((b/b**(-2/7))/b))/b**(-2/13)*b*b/b**(-7)*b*(b/(b**8/b))/b*b)/((b**(1/4))**(-37)/(b**(2/5)*b*b/(b/b**7)*b)) assuming b is positive. b**(42803/1820) Simplify (a/((a/(a**(-3)*a*a))/a)*(a/((a*(a/(a/(a/a**9)))/a)/a))/a)**26*((a*(a*a**1)/a)/a)**(-40)*a*a**5*a*a*a/a**(4/5) assuming a is positive. a**(1011/5) Simplify ((p**15/p)**(1/10)/(p/(p**7/p))**(-6/29))**(-48) assuming p is positive. p**(-2544/145) Simplify d*d**(2/5)*d*d/(d/(d*d*d/((d*d**(2/5))/d)))*(d**9/d)**(-1/10) assuming d is positive. d**(21/5) Simplify ((a**4*a)/a**(-8))**(-37)*((a*a**(-
{ "pile_set_name": "DM Mathematics" }
979? 50645958 Find the common denominator of 67/5548509 and -1/1791. 1104153291 Calculate the lowest common multiple of 331814348 and 29368. 663628696 Calculate the least common multiple of 342625 and 8634150. 43170750 Calculate the common denominator of -67/1536240 and 109/80. 1536240 Calculate the least common multiple of 17861168 and 95856. 53583504 Calculate the common denominator of -121/10176 and -103/2825112. 22600896 Calculate the common denominator of -59/15 and -139/1296790. 3890370 Calculate the common denominator of -48/1147075 and 79/45. 10323675 What is the smallest common multiple of 48 and 111068373? 1777093968 What is the smallest common multiple of 1700633 and 77044? 115643044 Calculate the common denominator of -16/45 and 106/13398525. 13398525 What is the common denominator of -43/644 and 23/17688? 2847768 What is the lowest common multiple of 15 and 9688785? 9688785 Calculate the lowest common multiple of 20650780 and 14. 144555460 Find the common denominator of 2/3366741 and 47/43512. 26933928 Calculate the common denominator of -16/3809859 and 149/24. 30478872 Find the common denominator of 173/2436 and -62/322161. 1288644 What is the lowest common multiple of 9672 and 10664? 415896 What is the smallest common multiple of 29383 and 1178? 34613174 What is the common denominator of 109/242825742 and 115/18? 242825742 Calculate the lowest common multiple of 57448 and 307063. 410236168 Calculate the least common multiple of 182 and 131220026. 1705860338 What is the common denominator of -47/24600 and -29/100? 24600 Find the common denominator of -87/3402676 and 85/6278. 3402676 Calculate the lowest common multiple of 95160 and 1306864. 19602960 Calculate the smallest common multiple of 246 and 3418728. 140167848 Calculate the least common multiple of 17344060 and 8. 34688120 Find the common denominator of 111/392 and 87/2732446. 535559416 What is the lowest common multiple of 10562 and 12658557? 25317114 Calculate the least common multiple of 13745420 and 6. 41236260 What is the lowest common multiple of 707413 and 101059? 707413 What is the lowest common multiple of 5889290 and 339223104? 1696115520 Calculate the least common multiple of 47444 and 139142. 113818156 Calculate the common denominator of 16/1823601 and -139/5700. 182360100 What is the common denominator of 37/29932 and -113/209524? 209524 Calculate the lowest common multiple of 118481400 and 1779000. 592407000 What is the lowest common multiple of 1476300 and 3780? 13286700 What is the smallest common multiple of 54 and 46569339? 279416034 What is the lowest common multiple of 343824 and 9120? 3438240 What is the least common multiple of 688200 and 62160? 9634800 Find the common denominator of 21/4199 and 53/115406. 25504726 Find the common denominator of -33/62848952 and 99/1235794. 439942664 Calculate the common denominator of 19/460 and 17/678438. 156040740 Find the common denominator of -11/40 and -5/449570384. 2247851920 Find the common denominator of 82/39105 and 113/443190. 1329570 Calculate the least common multiple of 49 and 5467. 38269 What is the common denominator of -36/688163 and -83/297332? 790011124 Calculate the least common multiple of 31708 and 539036. 539036 What is the lowest common multiple of 334518 and 2736? 152540208 What is the common denominator of 45/16 and -5/1736216? 3472432 What is the lowest common multiple of 1470 and 21000? 147000 Calculate the lowest common multiple of 3456525 and 20047845. 100239225 What is the least common multiple of 2508 and 6831792? 6831792 What is the common denominator of 49/9683741 and -27/790? 96837410 Calculate the common denominator of 101/130 and 53/86510554. 432552770 What is the lowest common multiple of 74030 and 96? 3553440 What is the lowest common multiple of 532512 and 79810236? 638481888 What is the common denominator of 17/329054 and -61/59828? 658108 Calculate the least common multiple of 42 and 150983952. 150983952 Calculate the least common multiple of 40 and 67253712. 336268560 Find the common denominator of 76/81 and -25/19923192. 59769576 Find the common denominator of 91/968616 and 50/25683. 6780312 What is the common denominator of -47/155184 and -113/181048? 1086288 Calculate the common denominator of 33/22243 and 61/136358. 104586586 What is the common denominator of -13/63 and -5/6297767? 56679903 What is the common denominator of -46/7940133 and 53/1520451? 71461197 What is the common denominator of -49/206261 and 1/112506? 1237566 Calculate the common denominator of 155/33167136 and -61/1056. 364838496 What is the least common multiple of 873086 and 3? 2619258 Calculate the smallest common multiple of 742920 and 2451636. 24516360 What is the smallest common multiple of 1836 and 5636673? 67640076 Calculate the lowest common multiple of 80280372 and 583. 883084092 Find the common denominator of -101/1050 and -131/124800. 873600 What is the least common multiple of 16695060 and 25042590? 50085180 Find the common denominator of 23/8732 and -41/11068. 24161444 Find the common denominator of -55/4795002 and 155/108306. 52745022 What is the common denominator of -211/168561330 and 83/3210692? 337122660 What is the common denominator of -79/19986 and 109/68472036? 68472036 Calculate the least common multiple of 8634294 and 611103. 267663114 Calculate the common denominator of 143/30954048 and 4/3065. 154770240 What is the smallest common multiple of 8385660 and 76180? 109013580 What is the least common multiple of 3876754 and 344? 666801688 What is the smallest common multiple of 3422 and 5514848? 159930592 Calculate the common denominator of 49/15581861 and -4/21. 327219081 What is the smallest common multiple of 497 and 19778? 9829666 What is the common denominator of -15/30301 and 58/598493? 93963401 What is the common denominator of -163/16050468 and -40/12037851? 48151404 Find the common denominator of 29/76 and 87/40208. 763952 Calculate the common denominator of 53/6 and 43/3710656. 11131968 Find the common denominator of -49/2147576 and -61/2589724. 88050616 Find the common denominator of 89/88528 and -16/495. 3983760 What is the smallest common multiple of 2565920 and 10112? 10263680 Calculate the common denominator of -101/11994710 and 31/343. 11994710 Calculate the common denominator of 2/146053 and -92/4635. 676955655 Calculate the smallest common multiple of 258456 and 137808. 134914032 What is the least common multiple of 307692 and 756? 307692 What is the lowest common multiple of 4225254 and 198? 12675762 Calculate the smallest common multiple of 9531 and 16275771. 48827313 What is the common denominator of 111/51435014 and 22/8361? 462915126 Calculate the common denominator of 7/16059238 and 36/1181. 16059238 Calculate the common denominator of 59/188079 and 31/244816165. 734448495 What is the common denominator of 143/3139416 and -35/199328? 12557664 Calculate the common denominator of 31/5473140 and 53/114. 5473140 What is the common denominator of -14/11 and -28/6882797? 75710767 What is the common denominator of -19/15 and 19/949560? 949560 Calculate the common denominator of 32/3 and 9/42209074. 126627222 Find the common denominator of 31/15775 and -57/3754450. 3754450 Find the common denominator of 74/837165 and 31/32130. 15068970 What is the lowest common multiple of 132 and 284988803? 3419865636 Calculate the lowest common multiple of 3228 and 1211307. 4845228 Find the common denominator of 128/165165 and -67/88374. 34023990 Find the common denominator of -11/73932 and -77/332. 6136356 What is the least common multiple of 292096 and 182? 3797248 Find the common denominator of 91/9090 and 109/109080. 109080 Calculate the common denominator of 53/47282598 and 61/70923897. 141847794 Calculate the lowest common multiple of 75304 and 39807577. 318460616 Calculate the smallest common multiple of 342 and 10833211. 194997798 What is the common denominator of 167/1786512 and -97/5200? 44662800 Calculate the common denominator of -21/130915 and 8/183281. 916405 What is the least common multiple of 81166 and 39852506? 39852506 Calculate the lowest common multiple of 6839805 and 5862690. 41038830 Calculate the common denominator of 121/195864 and -173/979320. 979320
{ "pile_set_name": "DM Mathematics" }
x be (-1 + u)*(1 + 1 + -3). Solve x*o = -3*m + 9, -3*m = -0*o + o - 9 for o. 0 Let t be 3/(-5)*-1*475/5. Let g be (-465)/(-12) - (t/12 - 4). Let v be (g/6 - 2) + 4/6. Solve 0 = 5*b - v*y + 2*y + 19, 9 = 3*b + 5*y for b. -2 Let l(k) = k**3 + 9*k**2 - 37*k - 162. Let b be l(-11). Solve -2*v - x + 3 = 0, v + 6 = b*x - 3 for v. 0 Suppose -405 = 11*t + 4*t. Let x be t/(-3)*(0 - -5 - 4). Solve -4*m + 5*i - 2 = x, m + 5*i = 16 for m. 1 Let j = 15117 - 15099. Solve -2*y - 3*g = -10, j*y - g + 7 = 15*y for y. -1 Suppose -77 + 67 = -5*b + x, -6 = -3*b - 5*x. Solve -5*i - 50*r + 49*r = 22, -3*r - 14 = b*i for i. -4 Let v(c) = 2*c + 29. Let r(i) = 9*i + 86. Let k(p) = -4*r(p) + 11*v(p). Let m be k(-2). Solve -4*x = g + 13, 0 = -2*g - 2*x - m + 1 for g. 3 Suppose 0 = 95*h - 57*h - 152. Let p be -13*((-350)/(-91) - h). Solve 3*g + 8 = p*x, -5*g + g - 7 = x for g. -2 Suppose -4*i + 49 = 13. Suppose -i*h - 3*h = 0. Solve 15 = 3*t + 3*w, -t + 5*w + 4 - 11 = h for t. 3 Let f be ((-2)/6*5)/(5185/(-6222)). Suppose 0 = -5*d - 25, -5*d + 11 = 3*p - 12. Solve -q = w + f + 2, 4*q + p = w for q. -4 Suppose 16 = 4*o - 4. Suppose -2*i + 6*z + 13 = z, -5*z = o. Solve 4*d = -i*t - 28, -t - 13 = 2*d + 2*d for d. -2 Let t = -205 + 234. Suppose -4*d = 5*g - 26, 24*g + 5*d = 28*g - t. Solve 3*p - q - 3 - 1 = 0, -2*p + g = q for p. 2 Suppose 5 = 6*i - 19. Suppose -2*q + 10 - i = 0. Suppose -3*t + 4 = -2*z, -z = q*t + 2*z + 6. Solve t = 2*b + y + 9, 4*b = 2*b + 4*y - 4 for b. -4 Suppose 3*o - 2*o = 6. Suppose -2*u = -4*u. Let r(f) = f**2 - 43*f + 394. Let a be r(30). Solve c - o*c + y = -2, u = -c - a*y + 13 for c. 1 Let w be 17 + ((-9)/3 - -2). Suppose -r - w = -3*m, -5*r - 5*m - 20 = -0*r. Let v = r + 21. Solve i - 4 = 3*i, -v = -5*a + 2*i for a. 2 Let s = -3927 - -3940. Solve -5*i = -4*k + s, 0 = i + 2*k + 11 for i. -5 Let p be 1 - (-19 - -1 - -16)/(4/2). Solve 5*c + 13 = -p*i, -6*c + 5*c + 7 = -2*i for c. -1 Let o be 22*(7/(-4))/(3/(-24)). Let d = 313 - o. Solve -t = 1 - 3, -u - d*t = -9 for u. -1 Suppose -3*a = 5*r - 30, 747*r + 12 = a + 749*r. Let u = 3 - -6. Suppose 4*f - 2 = 3*p, f + u*p = 4*p + 12. Solve -6 = -x - f*b, a*b - 6 = -2*b for x. 0 Let t(b) = b**3 + 9*b**2 + 2*b + 21. Let v be t(-9). Suppose i = -v*i + 8. Let z be i/8*0/(-29). Solve 5*j - 1 + z = o, -5*o = 2*j + 5 for j. 0 Let c(m) = -126*m + 32. Let q be c(-2). Let p = 286 - q. Solve -u = p*l - 8, 4*l - 2*u - 1 = 7 for l. 3 Suppose -2*v = 5*n - 450, -3*v + 216 = -3*n - 480. Suppose -v = -2*g - 4*h, 3*h - 106 - 8 = -g. Let t = g + -114. Solve y + t*m + 6 = 0, -y + m + 3 = 1 for y. 0 Suppose -6*f + c + 7 = -f, -4 = 4*f - 4*c. Let o(y) = 28*y - 53. Let x be o(f). Solve -2*s + 5*b = x*s, -s - 3*b = 16 for s. -4 Let g = -15 - -39. Suppose 4*i = -2*y - 1148, 4*i + 5*y - 550 = 6*i. Let w be (-4)/22 + i/(-55). Solve -3*z = -w*j - 22, 5*z - 4*z - g = 5*j for j. -5 Suppose -3*g = 3*n + 2*g + 2782, -5*g - 1848 = 2*n. Let z = n - -942. Solve 3*i + z = i, 2*i = 5*l - 13 for l. 1 Let g = -10661 - -10666. Solve -8*u + 13 = -4*v - 11*u, -2*v - g*u = 17 for v. -1 Suppose 9*r - 53 - 3 = -19*r. Solve -q + l = -l, r*l + 6 = -2*q for q. -2 Suppose s - 2*h = -4*s + 194, 0 = -5*s + 3*h + 196. Let p = 43 - s. Suppose -p*f = -3*f. Solve -3*z - 4*j = -3*j + 11, 3*z + 3*j + 3 = f for z. -5 Suppose -5*n - 4 - 1 = 0, -3*n = -4*z + 55. Suppose -12*d = -2*g - z*d, 4*d = 3*g. Solve g*m - 2*m = -8, 0 = -3*t + 3*m - 12 for t. 0 Suppose 4*f + 131 - 3 = -4*d, -5*d = 4*f + 127. Let g = f - -36. Suppose n - g = -1. Solve 5*m + 13 = -3*h - 12, -n*m = -3*h - 11 for h. -5 Suppose 37*r - 585 = -0*r - 80*r. Solve -3*k + 13 = h, 2*k + r - 21 = 3*h for k. 5 Let v = 119 - 30. Let u = 92 - v. Suppose x = u*y - 15, -9 + 3 = 2*x. Solve 2*m = -2, 5 = -y*o + 3*m + 8 for o. 0 Suppose 0 = -3*o - 2*m - 20, 8*m = -o + 3*m - 24. Let w be (7 - 7)/(-5)*1/o. Solve 2*d + 5 = 2*u + 3*u, -2*d + u - 1 = w for d. 0 Suppose -14*n - 8409 = -8647. Solve -7*u = -2*u - 3*q + 30, -u - 4*q + n = 0 for u. -3 Let f(c) = 19*c**2 + 2*c - 1. Suppose 7*m - 4*m + 9 = 0, -2*v - 5*m - 13 = 0. Let k be f(v). Let r = k + -16. Solve -3 = 3*s - 3*y, 2*s + 2 = r*y + 4 for s. -3 Let k = -205 - -202. Let w be (-18)/k + (1 - 3). Solve -w*n + n = y + 1, 12 = 2*y - n for y. 5 Let v(x) = x**3 + 12*x**2 + 22*x + 267. Let y be v(-12). Solve y*r + 3*h = 9, -5 = -3*r - 2*h + 1 for r. 0 Let m(y) = 46*y + 104. Let t be m(-1). Solve 0 = -2*u - 4*q + 14, 0 = t*u - 63*u - 5*q + 25 for u. 3 Let t(u) = 14*u**2 - 3*u - 1. Suppose 3*p - 9 = -2*y + 193, 2*y = 3*p - 182. Let w = -63 + p. Let h be t(w). Solve 0 = 4*k + 20, -x = 3*k + 8 + h for x. -3 Let w = -10 - 75. Let m = -82 - w. Suppose -30 = -4*j + 2*i, 0 = 3*j - m*i + 8 - 38. Solve v = -j*n + 3*n, 4*n + 8 = 2*v for n. -1 Let o = -671 + 381. Let n = o + 290. Solve n = 6*x - 4*x - 4*i + 20, 0 = 5*i - 15 for x. -4 Let u be 13 - (-16)/5*2/(8/(-10)). Solve -4*k - 2*w = -0*k, 9 = -k - u*w for k. 1 Let c = -1017 + 1021. Solve -c*b = 4, 4*o - 7*b = -6*b - 11 for o. -3 Let z(j) be the third derivative of -j**6/24 + j**5/60 - j**2. Let n be z(-1). Let d = 52499 - 52496. Solve -w - 15 = d*q, -4*w + 26 = -n*w - 5*q for w. -3 Let x be ((-70)/20)/(14/(-4)). Solve -3*n + 1 = -5*s, s - 2*n = x - 4 for s. 1 Let c(h) = 342*h + 349*h - 27 + 345*h - 1033*h. Let a be c(14). Solve 2*t = -m + a, -3*t + 3*m - 10 = -2*t for t. 5 Let t be (-672)/(-9)*54/24. Suppose 171*q = t*q. Solve z + q*l = 4*l - 12, 0 = -3*z + 3*l - 18 for z. -4 Suppose 0 = 6*r - 7*r + 6. Suppose 5*w - 6*w + r = 0. Let z be (w/(-18))/(2/3 + -1). Solve -3*k - 3 = 2*d, -d + k - z + 7 = 0 for d. 3 Let j(k) = 2*k**2 + 130*k + 1010. Let c be j(-56). Solve 5*o + 20 = 0, c*t - 5*o + 15 - 41 = 0 for t. 3 Let r(f) = f**2 - 13*f + 13. Let b = -5 - -18. Let c be r(b). Let o be 2 + (-24)/c + 185/65. Solve -3*i = -d - d - 16, 5*i + o*d = 14 for i. 4 Let n = -295 - -293. Let r(j) = -j**3 + 2*j - 4. Let a be r(n). Solve 3*g = -5*m - 0*g + 26, 5*m + 4*g - 28 = a for m. 4 Suppose 2*m = -4*f + 2, m - 779*f - 21 = -776*f. Solve -5*y + 25 = -5*b, 4 + m = -5*b - y for b. -3 Let t = -3663 + 3688. Solve t = -0*s - 5*s + 4*l, s + 5 = -5*l for s. -5 Suppose 5*i + i - 24 = 0. Suppose -2*h = -5*p - 20, -3*p - i = -h + 8. Let q be h/1 + (6 - (-14 - -5)). Solve 11 = 3*d - 4*x, -q = 5*d + 2*x + 10 for d. -3 Suppose 13*q = 10*q. Suppose 5*n = -d - 26, 4*d - 4*n - 3 - 13 = q. Let o = d + 15. Solve 0 = -g + v - 4, -4*g + 4*v - o = -2*g for g. -1 Let h(n) = n**3 - 6*n**2 + 23*n - 148. Let q be h(6). Let r be ((-8 - q) + 1)*(-5)/(-3). Solve -r*y + 30 = 5*o, -4*y = -3*y - 3*o + 10 for y. 2 Let j(h) be the first derivative of -3*h**4/4 - 5*h**3/3 + 5*h**2/2 + 10*h - 122. Let b be j(-2). Solve t = 5*l - 3 - 8, -5*l = b*t - 31 for l. 3 Let u(f) = f**2 + 15*f - 73. Let x be u(-19). Suppose 5*w - 30 = -k - 10, -2*k = -x*w + 12. Solve 3*r = 4*t + 21, 8*r + 4*t = w*r for r. 3 Let c(g) = g**2 + 22*g. Let r be c(-24). Let k be 256/r*(-6)/(-4). Let q(i) = -11*i + 3. Let s be q(0). Solve 5*f = l, -k*l + s*l - 4*f = 0 for l. 0 Let k be (-17 - (16 - 18))/(-3). Solve 5*o + 40 = h - 6*h, -k*o = 20 for h. -4 Let f = 21495 + -21082. Solve -g - y + 3 = 0, 5*g - 4*y - 392 = -f for g. -1 Suppose 2 = -25*d + 87 - 10. Let l be 17/(-5) + 4/10. Let y(w) = -w**2 - 3*w + 2. Let j be y(l). Solve c - j*t = 8, t = 2*t + d for c. 2 Suppose 0 = -2*m + g + 3, -2*m + m + 6 = g. Let z(w) = -6*w - 10. Let n be z(-4). Solve -26 = -4*c + 5*h, 5*c + 0*h - n = -m*h for c. 4 Let b be (-7 - 3)*(4 + 96/(-20)). Suppose b*r - 15*r = 7. Let g(i) = -2*i + 1. Let l be g(r). Solve a = -l*a - 5*u + 8, 25 = -3*a + 4*u for a. -3 Suppose -386 - 670 = 6*d. Let q be (d/(-110))/(4/10). Solve -3*x + x = -q*l + 8, 3*l = -x - 4 for l. 0 Let w be (-1)/2 + 215/10. Suppose -5 = 4*o - w. Let l be 1/2*24/o. Solve l*m = -4*k - 22, m - 14 = -2*k + 6*k for k. -4 Let t be 4/20 - 108/(-60). Solve -c - 17 = -3*n, -t*n + 7 + 6 = -c for n. 4 Let h(o) = o**2 - 8*o + 15. Let l be h(7). Suppose 0 = -7*f + 9*f - l. Let s(m) = 4*m - 13. Let j be s(f). Solve 0 = -3*d + 3*c - 6 - j, -5 = -5*d - 5*c for d. -1 Suppose 379 = 31*n + 69. Suppose 8*g - 6*g - 38 = -5*w, 0 = -w + 2*g + n. Solve 2*x + 0*x = f + w, 3*f = -x - 3 for x. 3 Suppose 0 = 6*f - 33 + 21. Suppose -f*x + 11 = -1. Solve -2*r = 2*r - 5*k + 41, r = -2*k +
{ "pile_set_name": "DM Mathematics" }
icked without replacement from gpzfpzzzzzqpzpzzzq. What is prob of picking 1 f, 1 q, and 2 p? 1/255 What is prob of picking 1 d, 1 e, and 1 n when three letters picked without replacement from {d: 2, n: 4, e: 5}? 8/33 Two letters picked without replacement from {y: 2, v: 7, d: 1, f: 1, w: 8}. What is prob of picking 2 w? 28/171 What is prob of picking 2 z when two letters picked without replacement from {r: 7, z: 6}? 5/26 Three letters picked without replacement from {b: 2, z: 4, f: 5}. What is prob of picking 3 f? 2/33 What is prob of picking 1 u and 1 e when two letters picked without replacement from {y: 5, p: 3, e: 3, u: 1, k: 1}? 1/26 Three letters picked without replacement from {h: 7, j: 4, c: 3}. Give prob of picking 2 j and 1 h. 3/26 Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {c: 2, s: 7, e: 3}. 7/22 Two letters picked without replacement from rrsbxppsrrpb. What is prob of picking 1 x and 1 r? 2/33 Four letters picked without replacement from bhlxlehhlxv. Give prob of picking 2 h and 2 l. 3/110 What is prob of picking 1 u and 1 p when two letters picked without replacement from rmrzrrrzrrzuzrp? 1/105 Calculate prob of picking 1 g and 1 q when two letters picked without replacement from qntng. 1/10 Calculate prob of picking 1 q, 1 h, and 1 o when three letters picked without replacement from oqooooqogqqqhooqomgo. 1/19 What is prob of picking 1 v and 1 r when two letters picked without replacement from {s: 1, r: 1, v: 1}? 1/3 What is prob of picking 1 r, 1 s, and 2 m when four letters picked without replacement from mdmdmsdmmmmrdr? 6/143 Calculate prob of picking 2 q when two letters picked without replacement from yqyqy. 1/10 Two letters picked without replacement from {n: 2, z: 1}. What is prob of picking 2 n? 1/3 Four letters picked without replacement from {q: 4}. What is prob of picking 4 q? 1 What is prob of picking 1 z and 1 g when two letters picked without replacement from {g: 3, z: 3, b: 1, y: 1, w: 5}? 3/26 Calculate prob of picking 1 m, 1 u, and 1 i when three letters picked without replacement from {m: 1, z: 2, i: 1, u: 1}. 1/10 Two letters picked without replacement from tnhtthfgt. Give prob of picking 2 t. 1/6 What is prob of picking 3 u when three letters picked without replacement from {u: 12, c: 1}? 10/13 What is prob of picking 2 c and 2 n when four letters picked without replacement from xbtbcbntiicbbcnnnnb? 5/646 Four letters picked without replacement from {o: 4, l: 8, x: 3, g: 2}. Give prob of picking 1 o, 2 l, and 1 g. 8/85 Three letters picked without replacement from {p: 1, r: 3, s: 13}. What is prob of picking 2 s and 1 p? 39/340 Two letters picked without replacement from {k: 3, c: 2, t: 6, w: 1}. Give prob of picking 1 k and 1 c. 1/11 Three letters picked without replacement from gqnngnrnqjnq. Give prob of picking 1 q and 2 g. 3/220 Three letters picked without replacement from sqqqqsqqqqqqqqqqss. What is prob of picking 1 s and 2 q? 91/204 Calculate prob of picking 1 s, 1 g, 1 j, and 1 u when four letters picked without replacement from {g: 6, j: 2, v: 4, d: 1, u: 2, s: 2}. 12/595 What is prob of picking 1 o and 1 u when two letters picked without replacement from uoa? 1/3 Calculate prob of picking 3 j when three letters picked without replacement from jjjrjjjjrj. 7/15 Calculate prob of picking 2 r and 1 t when three letters picked without replacement from tshntttrr. 1/21 What is prob of picking 1 q and 1 n when two letters picked without replacement from {q: 3, v: 2, n: 3}? 9/28 What is prob of picking 3 l when three letters picked without replacement from dldll? 1/10 Two letters picked without replacement from uueueeu. Give prob of picking 2 u. 2/7 What is prob of picking 4 m when four letters picked without replacement from mmmmff? 1/15 Two letters picked without replacement from {e: 11, c: 3}. Give prob of picking 2 c. 3/91 Three letters picked without replacement from aaahhhhhhh. Give prob of picking 1 a and 2 h. 21/40 Calculate prob of picking 2 v and 1 a when three letters picked without replacement from {a: 1, v: 3}. 3/4 Calculate prob of picking 2 m and 1 d when three letters picked without replacement from {d: 3, z: 2, m: 2, r: 3, q: 2, l: 4}. 3/560 What is prob of picking 3 z and 1 u when four letters picked without replacement from {u: 5, z: 11, b: 1}? 165/476 Calculate prob of picking 2 h and 1 n when three letters picked without replacement from {i: 9, n: 1, h: 4}. 3/182 Two letters picked without replacement from {q: 1, a: 3, d: 6, s: 2, w: 1}. Give prob of picking 1 d and 1 a. 3/13 Three letters picked without replacement from {a: 10, l: 2, n: 1, b: 1, m: 4}. What is prob of picking 1 b and 2 a? 15/272 What is prob of picking 2 m and 2 c when four letters picked without replacement from mdmcmdcmccc? 2/11 Four letters picked without replacement from jyjjyyjjjjyjy. Give prob of picking 1 j and 3 y. 16/143 What is prob of picking 2 p and 1 n when three letters picked without replacement from hsnpn? 0 Four letters picked without replacement from emrteimrieimp. What is prob of picking 1 t, 2 i, and 1 r? 6/715 What is prob of picking 3 f and 1 z when four letters picked without replacement from zpfffpffpfrffppz? 4/65 Three letters picked without replacement from {q: 1, b: 2, k: 2, t: 1}. What is prob of picking 2 b and 1 q? 1/20 Calculate prob of picking 3 f when three letters picked without replacement from {z: 8, o: 1, r: 7, f: 4}. 1/285 What is prob of picking 3 n when three letters picked without replacement from nnn? 1 Two letters picked without replacement from {p: 1, l: 1, g: 2, o: 1}. What is prob of picking 1 o and 1 g? 1/5 Four letters picked without replacement from okpoppppkwpwwowwkwpw. Give prob of picking 2 p and 2 k. 21/1615 Three letters picked without replacement from {s: 2, c: 11, b: 6}. What is prob of picking 2 b and 1 c? 55/323 Calculate prob of picking 2 l and 2 e when four letters picked without replacement from {e: 5, h: 5, l: 3, u: 2}. 2/91 Two letters picked without replacement from {m: 1, z: 1, u: 2, s: 9}. What is prob of picking 1 s and 1 m? 3/26 Calculate prob of picking 3 d when three letters picked without replacement from cccppccpzd. 0 Three letters picked without replacement from {r: 1, h: 1, y: 3}. Give prob of picking 3 y. 1/10 Two letters picked without replacement from {f: 7, k: 2, n: 1, v: 4}. Give prob of picking 1 v and 1 n. 4/91 Two letters picked without replacement from {h: 1, q: 1, g: 2, c: 2}. Give prob of picking 1 h and 1 g. 2/15 Two letters picked without replacement from {o: 1, j: 2, c: 6, w: 1, t: 5, l: 2}. What is prob of picking 2 c? 15/136 Two letters picked without replacement from tweew. Give prob of picking 1 w and 1 t. 1/5 Calculate prob of picking 2 y when two letters picked without replacement from ayyyayyyy. 7/12 What is prob of picking 2 v when two letters picked without replacement from wlllllvlllwlwllvlv? 1/51 What is prob of picking 1 q and 1 e when two letters picked without replacement from {f: 3, q: 1, e: 1, z: 1, r: 1}? 1/21 Two letters picked without replacement from {x: 1, o: 3, r: 4, p: 4, a: 1}. What is prob of picking 1 x and 1 p? 2/39 Two letters picked without replacement from rxtfhmr. Give prob of picking 1 f and 1 x. 1/21 Two letters picked without replacement from tyytybyryyyyyy. What is prob of picking 1 r and 1 t? 2/91 Calculate prob of picking 1 j and 2 x when three letters picked without replacement from nxnxcxxxnjnjxli. 6/91 Calculate prob of picking 2 c when two letters picked without replacement from {o: 7, l: 1, c: 6}. 15/91 Three letters picked without replacement from {n: 7}. Give prob of picking 3 n. 1 Four letters picked without replacement from oeiiikiiioeieik. Give prob of picking 1 o and 3 i. 16/195 Calculate prob of picking 2 t when two letters picked without replacement from mmtmllttt. 1/6 Two letters picked without replacement from vvfvkkkvv. What is prob of picking 1 k and 1 f? 1/12 Calculate prob of picking 4 r when four letters picked without replacement from {r: 4, z: 6}. 1/210 What is prob of picking 1 w, 1 l, and 2 x when four letters picked without replacement from xxfxfwffwxxwflxxxw? 28/765 Four letters picked without replacement from ppipnipppp.
{ "pile_set_name": "DM Mathematics" }
the smallest value in -2/37, 9, -75? -75 What is the third biggest value in 2/3, 0, 2.4166? 0 Which is the biggest value? (a) 21.76 (b) -0.1 (c) -2 a Which is the third smallest value? (a) 2/7 (b) -2/9 (c) -0.2 (d) 0.4 (e) -0.23 (f) 20 c Which is the second smallest value? (a) -0.02 (b) 1 (c) -3 (d) 14 (e) 0.3 a Which is the third biggest value? (a) -2/9 (b) -9 (c) -0.4 (d) 0 (e) -103 (f) 1 a Which is the third smallest value? (a) -2 (b) -3 (c) -67680/13 a What is the second smallest value in -2/5, -4, 168, -0.1, -4/5? -4/5 What is the second biggest value in -534, 0.3, 2/27, 4, 2? 2 Which is the second biggest value? (a) 0.04 (b) 3 (c) 0 (d) -10 (e) -34 a Which is the third biggest value? (a) -1.3 (b) -240 (c) -0.64 b Which is the third biggest value? (a) -5.8 (b) 1/3 (c) -2/3 (d) -1 (e) -0.101 c Which is the biggest value? (a) -161 (b) 2/15 (c) -0.029 (d) 0 b What is the third biggest value in 5, -6, -5, 2/24679? -5 What is the third biggest value in 1, 17, 50036? 1 What is the third smallest value in -2, 43, 2/13? 43 Which is the second biggest value? (a) -0.03 (b) -655/26 (c) 0.08 a What is the third biggest value in -339, 775, -0.2? -339 What is the fourth biggest value in 1592, 0, 0.2, -0.1, -2/5? -0.1 Which is the second biggest value? (a) -5/4 (b) -3 (c) 0.732 (d) 1 c What is the third biggest value in 0.5, 13/10, -1.3, 4, -3/4? 0.5 Which is the biggest value? (a) 7 (b) 1/2 (c) -1/4 (d) -3 (e) -2/9 (f) 0.1 a Which is the second biggest value? (a) -3.2 (b) 6 (c) 1 (d) -111 c Which is the fourth biggest value? (a) -6 (b) 0.02 (c) 6/11 (d) -1 (e) -61 (f) -7 a What is the smallest value in 1.1, 5, -2/11, -2/5, 0.9? -2/5 What is the fourth biggest value in -3/7, 5/2, -5, 14, 1/6? -3/7 What is the second biggest value in -3/8, 1/2, -9829? -3/8 Which is the second smallest value? (a) 5 (b) 7789/2 (c) 1/2 a What is the biggest value in 3, 137, -0.4, 1/3, 1.1? 137 Which is the fifth smallest value? (a) -0.2 (b) -0.1 (c) 45 (d) -4 (e) -5 (f) 1.8 f Which is the second biggest value? (a) -628 (b) -2/7 (c) -4 c Which is the biggest value? (a) -8 (b) 0.1 (c) -0.3 (d) 0.11 d What is the third smallest value in -2, -0.090654, 0.1, 1, -3/4? -0.090654 What is the third smallest value in 19.64, -17, 5? 19.64 Which is the fifth biggest value? (a) 0.1 (b) -4 (c) -3 (d) -0.09 (e) 1482 b Which is the biggest value? (a) 2/11 (b) -0.5 (c) -5.316 a What is the biggest value in 4/3, 2, 0.0126, -4, 21? 21 Which is the third biggest value? (a) -16 (b) 8.72 (c) 1/7 a What is the fourth biggest value in -3.9, 0.3, 8, -7, -94? -7 What is the third biggest value in -7/4, -3/821, -1/6? -7/4 Which is the biggest value? (a) 8 (b) -353 (c) 13/5 (d) -2 a What is the second smallest value in -1/65, -9, -7? -7 What is the sixth smallest value in 0.19, -7, -3, -2, 1/8, 3? 3 Which is the second biggest value? (a) -1 (b) 10 (c) -2/3 (d) -14 c What is the smallest value in 4, 1/180, -0.17, 5, 1/7? -0.17 What is the second biggest value in -1, -171510, 0.4? -1 Which is the fourth smallest value? (a) -4/7 (b) 282 (c) -3 (d) 0.5 b What is the biggest value in 0.4, -0.198, 5, -5, 9? 9 Which is the third smallest value? (a) 13 (b) -0.2 (c) 19 (d) 28/11 a Which is the third biggest value? (a) -2/19 (b) 1/186 (c) 2/327 a What is the fifth biggest value in 0.4, 0.136, -0.2, 28/69, -1? -1 Which is the smallest value? (a) 4/67 (b) -3/13 (c) -16 c What is the third smallest value in -68, 1, -18.3? 1 What is the second biggest value in 2, -4, 6/7, -2785/11? 6/7 What is the second biggest value in 2, -0.186, -56? -0.186 Which is the third biggest value? (a) -1/8 (b) 526 (c) 3 (d) 0.1 d Which is the fifth smallest value? (a) 8 (b) 4 (c) -0.06 (d) 0.9 (e) -2/7 (f) 5 f Which is the second biggest value? (a) -1/6 (b) -2/11 (c) 0.01 (d) 185 (e) 3 e Which is the smallest value? (a) 0.5 (b) -2 (c) -189775 c What is the second biggest value in 24, 127.6, -3? 24 What is the smallest value in -0.138, -518, -1? -518 What is the second smallest value in 1, 26/21, -3, 1/7, 4/7, -0.1? -0.1 What is the fourth smallest value in 9, 2/9, -437, 0.3? 9 What is the second smallest value in -2/23, -513, 1388? -2/23 What is the biggest value in -375.2, -2, -0.4, 0.8? 0.8 Which is the second smallest value? (a) 4/5 (b) -0.3 (c) -10 (d) 0.1 (e) 5 (f) -397 c What is the second smallest value in -0.09, 0.3, 1617? 0.3 Which is the third smallest value? (a) 3 (b) 10 (c) 43 (d) 0.06 b What is the second biggest value in 3221, -0.5, 7? 7 Which is the fourth biggest value? (a) -6 (b) -56 (c) -4 (d) -3 (e) -1 (f) -5 f What is the second smallest value in -0.3, -45/4, -1, -11, -4? -11 What is the smallest value in -72, 15, 0.1? -72 What is the second smallest value in 1, 0.01, 3, -29, -2? -2 What is the second biggest value in -5/2, 0.76, -4/5, 1/4, 26? 0.76 What is the fourth smallest value in -1881, 5, 4, 2, 1? 4 Which is the second biggest value? (a) 0.86 (b) 8.7 (c) -4 (d) 0.5 a Which is the third biggest value? (a) 3 (b) 0.1 (c) 1399 b What is the fourth biggest value in -0.19, 2, 5, -2, 3/40? -0.19 What is the third smallest value in 2, 3/7, 0.4, 0.2, 1/7? 0.4 What is the fifth biggest value in 5/6, -2, -0.3, -5, -7/5? -5 Which is the biggest value? (a) 5 (b) 0.05 (c) 0.1 (d) -119 (e) -3/76 a Which is the third biggest value? (a) 5/4 (b) 217 (c) -3 c Which is the third biggest value? (a) -5 (b) 0.4792 (c) -1/8 a What is the second smallest value in 6, -1/6, 0, 22, -2/5? -1/6 Which is the third biggest value? (a) 48 (b) 0.2 (c) 0.7 (d) 11 (e) -1/5 c What is the second smallest value in -267, -0.4, 4, -5? -5 What is the biggest value in 15, -0.3, -0.683, 1, 2, -0.2? 15 Which is the smallest value? (a) -4 (b) -23 (c) -315 c What is the third smallest value in 220, 2/3, -0.04, -0.07? 2/3 What is the fifth biggest value in -5/3, 9, -3, 37, 5/2, 2/23? -5/3 Which is the fifth smallest value? (a) 8 (b) 5 (c) 0.05 (d) 4 (e) 3 a Which is the third smallest value? (a) 1.7 (b) -1/3 (c) -0.3 (d) -0.01 d Which is the second biggest value? (a) 36228 (b) 4 (c) -0.5 b What is the biggest value in 8/9, 3/2, 3/8, -2/27, -2/7? 3/2 Which is the third biggest value? (a) 4/1449 (b) -8 (c) -2 (d) -0.1 (e) -1/3 (f) -1/5 f What is the second biggest value in 11.6, 0.68, -0.3, 4, 2/7? 4 Which is the fifth smallest value? (a) -248 (b) -1/8 (c) 0.1 (d) 0.3 (e) -0.4 d What is the second smallest value in 5, 1, -6/7, -2/7, -0.3? -0.3 What is the third smallest value in -0.3, 1/2, 0.04254? 1/2 Which is the fourth smallest value? (a) 5 (b) 100 (c) -2 (d) -34 (e) -1/3 a What is the third smallest value in 6, 0.5, -53, -46, -4? -4 Which is the second smallest value? (a) 4 (b) -0.5 (c) -924 (d) 3 (e) 2 b What is the third biggest value in -2328.232, -1, 1? -2328.232 Which is the second smallest value? (a) 1/10 (b) 0.09 (c) 12/17 (d) -0.2 (e) -0.765 d Which is the second biggest value? (a) -1 (b) -5 (c) 1.3 a What is the sixth smallest value in 3, -397, 0, 4/7, -48, -1? 3 What is the second biggest value in 0.01902, 0.2, 10? 0.2 Which is the third smallest value? (a) 2.6 (b) -855 (c) 1/8 a Which is the sixth biggest value? (a) 34/11 (b) 0.1 (c) -2/17 (d) 0 (e) -126/11 (f) 1 e What is the fifth biggest value in 2/11, 1250, -2/15, 0.1, -3.6? -3.6 What is the third smallest value in -3, -0.02, 3, 0.3, -2/7, 0.53? -0.02 What is the second smallest value in 2/3, 1805.4, -4, 3, -0.5? -0.5 What is the fourth biggest value in 2/3, -1, -8/7, -525? -525 Which is the third biggest value? (a) -16026 (b) 0.3 (c) 4 (d) -0.03 d Which is the sixth smallest value? (a) -2/401 (b) 0.4 (c) 0.2 (d) -0.4 (e) 9 (f) -2 e What is the smallest value in 0.42, -10, 124? -10 Which is the third biggest value? (a) -0.5 (b) 3 (c) 4/3 (d) -25448 a Which is the third smallest value? (a) 168/13 (b) -2 (c) 1/5 (d) 92/5 a Which is the fifth smallest value? (a) -0.3 (b) -1/4 (c) 11 (d) 4 (e) -51/8 c What is the second smallest value in 41, 44.8, 63? 44.8 What is the second biggest value in -2, 2393, 0.1? 0.1 What is the fourth smallest value in 1.
{ "pile_set_name": "DM Mathematics" }
ive s(-7). 22 Let t(q) = -3*q**2 + 17*q + 14. Calculate t(8). -42 Let c(j) = -11*j + 6. Determine c(1). -5 Let r(g) = 5*g + 4. Calculate r(-2). -6 Let t(l) = -2*l**2 + 35*l - 100. What is t(14)? -2 Let m(z) = z**2 - 3*z - 4. Determine m(4). 0 Let f(t) = t + 6. Calculate f(-10). -4 Let l(f) = f**2 + 18*f + 51. What is l(-15)? 6 Let y(p) = -9*p - 1. Determine y(1). -10 Let a(m) = -m**2 + 9*m - 12. What is a(6)? 6 Let m(v) = 24*v - 3. Calculate m(2). 45 Let u(v) = -8*v + 2. Calculate u(2). -14 Let f(a) = 19*a - 241. Determine f(12). -13 Let h(x) = -x**3 - 6*x**2 - 12*x - 20. Determine h(-4). -4 Let f(b) = 33*b - 246. What is f(7)? -15 Let x(y) = -6*y**2 + 51*y - 26. Determine x(8). -2 Let z(c) = c**3 + 15*c**2 - 21*c - 40. Give z(-16). 40 Let i(m) = 2*m**2 + 41*m - 49. Give i(-22). 17 Let l(w) = w**2 - 6*w + 13. Give l(7). 20 Let b(h) = 3*h**2 + 8*h + 17. Give b(-2). 13 Let a(w) = -w**3 + 13*w**2 - 29*w + 75. What is a(11)? -2 Let g(k) = 2*k + 15. Calculate g(-11). -7 Let h(c) = -c**3 + 6*c**2 - 7*c + 2. Determine h(4). 6 Let j(q) = -q**3 + 15*q**2 - 14*q + 1. Calculate j(14). 1 Let x(u) = 2*u**3 + u**2 - 3. What is x(-3)? -48 Let y(r) = r**2 + 14*r + 26. What is y(-12)? 2 Let r(o) = o**2 - 35*o - 308. Determine r(-7). -14 Let a(b) = b**3 + 12*b**2 - 26*b + 6. Determine a(2). 10 Let b(y) = 5*y**2 - 14*y - 12. Determine b(-1). 7 Let m(r) = 5*r + 44. Give m(-11). -11 Let b(k) = -k**2 - 5*k + 3. Give b(-6). -3 Let q(s) = s**2 + 29. Determine q(0). 29 Let c(t) = -4*t + 4. What is c(5)? -16 Let b(z) = z**3 - 5*z**2 + 26*z - 115. Determine b(5). 15 Let z(h) = -6*h + 17. Give z(6). -19 Let v(j) = -j - 53. What is v(-51)? -2 Let d(o) = -o**3 - 10*o**2 - 3*o + 9. What is d(-9)? -45 Let d(s) = -s**3 - 8*s**2 - 19*s + 2. Calculate d(-4). 14 Let x(b) = -2*b - 2. Calculate x(-3). 4 Let y(r) = -r**2 + 8*r + 6. What is y(8)? 6 Let s(z) = 2*z**2 + 27*z + 25. Calculate s(-12). -11 Let p(y) = y**2 - 6*y - 147. Calculate p(15). -12 Let b(t) = -t**3 - 14*t**2 - 12*t - 1. Calculate b(-13). -14 Let q(c) = -2*c**2 - 12*c + 42. Calculate q(4). -38 Let d(c) = -3*c**3 + 12*c**2 + 4*c - 7. Calculate d(3). 32 Let v(h) = -22*h + 3. Calculate v(3). -63 Let o(y) = -y**2 - 17*y - 6. Give o(-9). 66 Let j(o) = o**3 - 21*o**2 + 19*o + 22. Give j(20). 2 Let x(q) = -2*q - 3. Determine x(-2). 1 Let z(u) = -u - 2. Calculate z(9). -11 Let w(x) = x**2 - 4*x + 4. Give w(4). 4 Let l(s) = -13*s**2 - 3*s + 3. Give l(1). -13 Let b(u) = 2*u**3 - 8*u**2 + 3*u - 3. Calculate b(4). 9 Let l(q) = 7*q + 14. What is l(-5)? -21 Let x(g) = g**2 - 14*g + 11. Give x(13). -2 Let h(o) = -5*o**3 + 2*o**2 - o. What is h(1)? -4 Let y(d) = d - 6. What is y(-9)? -15 Let n(j) = -18*j - 7. Give n(3). -61 Let f(r) = -r + 8. Give f(15). -7 Let h(b) = -b**2 - 11*b - 22. Calculate h(-4). 6 Let l(a) = 9*a - 8. Give l(5). 37 Let h(d) = 4*d - 16. Calculate h(16). 48 Let s(h) = -h**3 - 14*h**2 + 14*h - 18. Give s(-15). -3 Let v(z) = 22*z + 1337. Give v(-61). -5 Let f(j) = -j**3 + j**2 + 5*j + 11. Calculate f(-6). 233 Let t(g) = -g**2 - 10*g - 19. What is t(-8)? -3 Let z(o) = -o**2 - 30*o + 36. Give z(-30). 36 Let y(m) = -m**2 + m - 2. Give y(-3). -14 Let v(y) = -7*y. Determine v(-8). 56 Let l(n) = n**3 - 6*n**2 + n - 2. Determine l(6). 4 Let w(f) = -f**3 - 12*f**2 - 23*f - 8. What is w(-10)? 22 Let u(m) = m**2 - 25*m - 835. Give u(44). 1 Let w(z) = z**3 - 14*z**2 + 25*z - 30. What is w(12)? -18 Let x(m) = 2*m**3 - 64*m**2 - 3*m + 78. What is x(32)? -18 Let k(c) = -c**3 - 15*c**2 - 35*c + 17. Determine k(-12). 5 Let g(x) = 2*x**2 + 24*x + 18. Determine g(-10). -22 Let m(v) = v**3 - 5*v**2 + 11*v - 17. Determine m(6). 85 Let v(j) = j**3 - 5*j**2 - 6*j + 1. Calculate v(6). 1 Let i(k) = -32*k - 1. What is i(-1)? 31 Let w(x) = -x**2 - 2*x + 16. Calculate w(-5). 1 Let c(b) = -2*b**2 + 14*b - 19. Calculate c(8). -35 Let z(g) = g**3 - 2*g**2 + 3*g - 9. Determine z(6). 153 Let y(i) = -2*i**3 + 8*i**2 - 2*i - 11. Determine y(5). -71 Let n(p) = -p**2 - 32*p - 130. What is n(-27)? 5 Let k(s) = s**2 - 6*s - 7. Calculate k(10). 33 Let u(g) = -2*g**3 - 7*g**2 - 7*g + 5. Determine u(-4). 49 Let d(h) = -h + 11. What is d(18)? -7 Let h(v) = v**2 - 14*v + 14. Give h(12). -10 Let d(b) = -25*b - 281. Give d(-11). -6 Let f(v) = 3*v**3 + 12*v**2 - 4*v - 12. Calculate f(-4). 4 Let u(x) = 13*x + 86. Calculate u(-8). -18 Let h(y) = 5*y - 8. Give h(12). 52 Let s(b) = b**2 + 81. Calculate s(0). 81 Let o(z) = -9*z + 20. Determine o(-1). 29 Let v(b) = 26*b + 188. What is v(-7)? 6 Let s(a) = -13*a + 20. What is s(4)? -32 Let g(l) = -l**3 - 16*l**2 + 15*l - 24. Give g(-17). 10 Let m(x) = 2*x - 6. Determine m(6). 6 Let h(u) = u**2 + 10*u + 5. What is h(-11)? 16 Let c(z) = -z**2 + 19*z - 8. What is c(11)? 80 Let q(o) = -o**2 + 6*o + 4. Determine q(6). 4 Let i(m) = m**2 - 9*m + 10. Give i(8). 2 Let z(d) = 7*d**2 + 4*d + 4. Calculate z(-2). 24 Let p(i) = 5*i - 9. Determine p(6). 21 Let r(y) = -4*y**3 + 21*y**2 - 2*y + 7. What is r(5)? 22 Let r(h) = h**3 + 5*h**2 - 10*h + 21. Calculate r(-7). -7 Let d(c) = -3*c**3 - c**2 - 3*c + 3. Give d(2). -31 Let v(d) = 2*d**3 + d**2 + 3*d - 2. Calculate v(-3). -56 Let c(f) = -f**2 - 9*f - 4. Determine c(-7). 10 Let w(y) = y**3 - 3*y**2 - 24*y + 20. Calculate w(-4). 4 Let g(n) = -4*n. Calculate g(-6). 24 Let r(d) = -2*d**3 - d**2 + 7*d + 9. Determine r(-2). 7 Let v(n) = -n**3 - 5*n**2 + 7*n. Give v(-6). -6 Let w(l) = l**3 - 7*l**2 - 7*l - 100. Give w(9). -1 Let q(r) = -46*r + 505. Calculate q(11). -1 Let f(h) = 4*h**2 + 5*h + 2. Determine f(-3). 23 Let t(d) = d**3 + 7*d**2 - 9*d - 3. Give t(-8). 5 Let c(y) = -y**3 - 9*y**2 + 30*y + 16. What is c(3)? -2 Let o(z) = z**3 - 34*z**2 - 35*z + 14. Calculate o(35). 14 Let y(w) = 5*w - 15. What is y(8)? 25 Let q(w) = 2*w + 5. What is q(-4)? -3 Let p(z) = 3*z**2 + 5*z - 9. Give p(-5). 41 Let g(i) = i**2 - 27*i - 60. What is g(-2)? -2 Let d(a) = -23*a**2 + 2*a + 1. What is d(2)? -87 Let g(b) = -b**3 - 12*b**2 + 47*b + 35. Give g(-15). 5 Let g(f) = -2*f + 9. Determine g(8). -7 Let w(r) = -4*r**2 - 26*r + 14. Determine w(-8). -34 Let s(q) = -q**2 + 22*q - 56. Calculate s(19). 1 Let x(i) = i**3 - 9*i**2 + 13*i + 8. Calculate x(6). -22 Let w(s) = s + 8. What is w(-4)? 4 Let z(n) = n**3 - 9*n**2 + 18*n + 2. What is z(4)? -6 Let p(u) = 3*u + 3. Give p(5). 18 Let k(n) = -3*n**2 - 10*n - 3. Give k(-8). -115 Let l(i) = -10*i**2 + i - 1. Determine l(-1). -12 Let u(y) = -2*y + 17. What is u(7)? 3 Let a(h) = h**3 - 5*h**2 - 12*h - 4. What is a(7)? 10 Let g(p) = 19*p - 9. Calculate g(1). 10 Let d(g) = -g**3 + g**2 - 7*g + 14. What is d(4)? -62 Let r(n) = 10*n - 11. Calculate r(6). 49 Let a(g) = 2*g**2 + 2*g + 7. What is a(-5)? 47 Let f(d) = d**3 + 10*d**2 - d - 7. Calculate f(-10). 3 Let w(s) = -14*s + 175. Give w(10). 35 Let p(t) = -2*t**3 - 24*t**2 - 63*t + 10. Give p(-8). 2 Let x(m) = 51*m + 206. What is x(-4)? 2 Let m(q) = -12*q**2 - 17*q + 15. Determine m(1). -14 Let p(x) = -x**3 - 20*x**2 + 22*x + 29. Give p(-21). 8 Let v(j) = -j**2 + 5*j - 2. Determine v(6). -8 Let q(k) = k**3 - 6*k**2 + 5*k - 14. What is q(4)? -26 Let z(y) = -38*y + 38. What is z(1)? 0 Let g(p) = 7*p + 30. What is g(-11)? -47 Let q(n) = 3*n**3 + 80*n**2 - 27*n + 4. Determine q(-27). 4 Let n(b) = b**3 + 13*b**2 + 15*b - 9. What is n(-12)? -45 Let f(w) = -2*w**2 + 11*w - 17. What is f(4)? -5 Let r(g) = -g**3 - 12*g**2 + 12*g - 19. Give r(-13). -6 Let m(b) = 9*b**2 - b - 4. Give m(-2). 34 Let v(i) = i**3 + 3*i**2 + i + 7. Give v(-3). 4 Let i(h) = -h**3 + 2*h**2 + 7*h + 10. Calculate i(-3). 34 Let j(w) = w**3 + 34*w**2 + 36*w + 87. What is j(-33)? -12 Let i(v) = 2*v**3 - 15*v**2 - 12*v + 28. Calculate i(8). -4 Let f(i) = -i. Determine f(-6). 6 Let g(n) = -n**2 - 6*n - 9. What is g(-5)? -4 Let j(y) = 4*y**3 + 8*y**2 - 8*y - 2. Determine j(-3). -14 Let c(g) = 2*g**2 - 37*g + 16. Determine c(17). -35 Let l(m) = 15*m + 3. What is l(-2)? -27 Let i(f) = -f. What is i(-1)? 1 Let i(b) = -7*b**2 - 4*b - 2. Calculate i(-2). -22 Let p(c) = -c**3 + 4*c**2 - c - 3. What is p(4)? -7 Let c(l) = 4*l - 12. Calculate c(4). 4 Let g(k) = 8*k**2 - 6*k + 7. Determine g(5). 177 Let i(n) = -4*n + 22. What is i(5)? 2 Let p(b) = 21*b - 1. What is p(2)? 41 Let j(p) = -5*p - 32. Give j(-5). -7 Let c(s) = -s**3 + 14*s**2 + 9. Give c(14). 9 Let l
{ "pile_set_name": "DM Mathematics" }
0*p**3*r Find the second derivative of -9*o**4 - 4*o**3 + 2210*o**2 - 15*o + 7984. -108*o**2 - 24*o + 4420 What is the first derivative of 123082*f**2 + 2*f - 2932435? 246164*f + 2 Find the third derivative of 64*a**6 + 8*a**4*f**3 - a**2 - 38*a*f**3 - 1344*a*f**2 wrt a. 7680*a**3 + 192*a*f**3 Differentiate 21*n*u**3 - 218*n + u**3 + 1393*u with respect to u. 63*n*u**2 + 3*u**2 + 1393 What is the second derivative of 8*q**5 + 20274*q**2 - 172111*q wrt q? 160*q**3 + 40548 What is the third derivative of -82*f*x**4 - 70*f*x**2 + 56*f + 5*x**4 - 8*x**3 wrt x? -1968*f*x + 120*x - 48 Find the second derivative of 263340*o*z**2 + o*z + o + 32*z + 2 wrt z. 526680*o Find the second derivative of -1144693*q**3 + 175*q - 2683 wrt q. -6868158*q What is the first derivative of 501335*k**2 - 163720 wrt k? 1002670*k Find the second derivative of r**3*u**3 + 14*r**3*u*x - 29*r**3 - 3640*r*u**2*x + r*x - 2*u**3 + 2*u*x wrt r. 6*r*u**3 + 84*r*u*x - 174*r Find the second derivative of -71711*x**2 + 28477*x wrt x. -143422 Find the second derivative of -222714*c**2*f - 51*c*f - 2*c + 30*f - 8 wrt c. -445428*f What is the third derivative of -257361*h**4 + 4*h**2 + 148114? -6176664*h Differentiate 50615*n**2*p**2*s - 102527*n**2*p**2 - 3*p**2*s wrt s. 50615*n**2*p**2 - 3*p**2 What is the second derivative of 1822164*a**3*s**2 + 217869*a**3 + 4*a**2*s wrt s? 3644328*a**3 What is the second derivative of 6*m*s**3 + 16*m*s**2 - 33285*m*s - 3*m + s**3 - 119*s**2 + 2 wrt s? 36*m*s + 32*m + 6*s - 238 Find the second derivative of j**4*x**2 + 287642*j**4 + 79*j*x - j + 4*x**2 - 72 wrt j. 12*j**2*x**2 + 3451704*j**2 Find the second derivative of -39*i**2*t**2 - 38745*i**2 - 2*i + 81244*t**2 wrt i. -78*t**2 - 77490 What is the derivative of -3951*u**3 - u**2 + 202496 wrt u? -11853*u**2 - 2*u What is the third derivative of 12*c**3*s + 1539*c**3 - 228*c**2*s - 16*c**2 - c*s + 5*c - s wrt c? 72*s + 9234 What is the second derivative of 7*j**5 - j**4 + 200*j**3 + 55025*j wrt j? 140*j**3 - 12*j**2 + 1200*j Find the first derivative of -758*l**3 - 3*l - 22910 wrt l. -2274*l**2 - 3 Find the second derivative of 262699*u**2 - 8*u + 12223 wrt u. 525398 Find the third derivative of -33147*v**5 - 1596*v**2 + 16 wrt v. -1988820*v**2 What is the third derivative of 387943*z**5 + 246*z**2 + 506 wrt z? 23276580*z**2 What is the second derivative of 508*j**4 - 661*j**3 + 3422838*j? 6096*j**2 - 3966*j What is the second derivative of 1006084*r**3 - r - 6080? 6036504*r What is the third derivative of 22169*d**2*r**3 - 17612*d**2*r**2 - 2*d*r**2 wrt r? 133014*d**2 What is the derivative of -16830*x**2 - 8*x - 1252311? -33660*x - 8 Find the second derivative of -2053998*h**2 - 1502859*h. -4107996 What is the second derivative of -r**4 - 12720*r**3 - 2*r - 24324? -12*r**2 - 76320*r Find the first derivative of -2*h**3 + 9511*h*j**2 - j**2 - 16505 wrt h. -6*h**2 + 9511*j**2 What is the third derivative of -173175*g**3 + 7*g**2 + g - 1486 wrt g? -1039050 What is the second derivative of -19*p**5 - 477*p**3 + 27*p**2*t**3 - 4658322*p*t**3 wrt p? -380*p**3 - 2862*p + 54*t**3 Differentiate 6482*c*p*r**3*v**2 - 5*c*p*v**2 - 176*c*r**3*v - c*r**3 + 2*c*r**2*v**2 + 2*c*r**2*v + r with respect to p. 6482*c*r**3*v**2 - 5*c*v**2 Find the second derivative of -20*k**5 - 43446*k**3 + 1973311*k wrt k. -400*k**3 - 260676*k What is the second derivative of -1569605*g**5 - 761271*g wrt g? -31392100*g**3 What is the second derivative of -2*f**5*p**2 + 66929*f**3*p**2 - 17*f*p**2 + 56*p**2 wrt f? -40*f**3*p**2 + 401574*f*p**2 Find the third derivative of -268300*i**2*m**2*t**3 + 1508*i**2*m**2*t + 14*i*m**2*t**2 + 3*i*t**2 wrt t. -1609800*i**2*m**2 What is the third derivative of 5*f**6*h + 2*f**5 + 102*f**3 + f**2*h + 2*f*h - 345*h - 14 wrt f? 600*f**3*h + 120*f**2 + 612 Find the first derivative of 202035*d**2 - 3179738. 404070*d What is the first derivative of 4*f**3 - 8*f**2 - 321*f - 12943 wrt f? 12*f**2 - 16*f - 321 Find the third derivative of -a**2*j**3*l**2 - 101097*a**2*j**3 - 2*a**2*l**2 - a*j**2 - 21*j*l**2 - 169 wrt j. -6*a**2*l**2 - 606582*a**2 What is the second derivative of 8398*n**5 - 5*n**2 - 101*n + 411 wrt n? 167960*n**3 - 10 Find the third derivative of 13*n**4*s + 59*n**4 + 2*n**3*s + 2*n**3 + 7856*n**2*s - n*s wrt n. 312*n*s + 1416*n + 12*s + 12 Find the second derivative of b**2*l*s**3 - 29335*b**2*s**3 - b*l*s + 6*b*s**3 + 4300*l wrt b. 2*l*s**3 - 58670*s**3 What is the third derivative of 39956*a**6 + 516*a**2 + 21*a? 4794720*a**3 What is the first derivative of 3*b*h**3 + 25*b*h - b*x + 71*h**3*x - 4*h**3 - 6*h*x**2 - 3 wrt x? -b + 71*h**3 - 12*h*x Find the first derivative of 5*f*n**3*v**3 - 10308*f*v**3 + 3*n**3*v**2 - 172*n**2*v**3 + 3*n**2 + 1 wrt f. 5*n**3*v**3 - 10308*v**3 Find the first derivative of -2148*t**2*u - t*u - 3*t*z**2 + 94*u*z**2 - u - 84*z wrt t. -4296*t*u - u - 3*z**2 Find the third derivative of 2875*v**4 - 7*v**3 + 7*v**2 + 38*v - 4. 69000*v - 42 Differentiate 141*r**4 - 161*r**3 - 5*r**2 + 40623. 564*r**3 - 483*r**2 - 10*r What is the second derivative of 17715*y**5 - y**4 + 2*y**3 + 24*y + 72? 354300*y**3 - 12*y**2 + 12*y Find the third derivative of -369816*n**3 - 251*n**2 - 298*n - 1. -2218896 Find the first derivative of -1276*b**2 - 79*b - 317891. -2552*b - 79 Find the second derivative of 2*h**4*p + 18*h**2*p - 238*h**2 - 52*h*p + 621*p wrt h. 24*h**2*p + 36*p - 476 What is the second derivative of -41*i**2*v**3 + 2*i**2*v + 3939*v**5 - 123925*v wrt v? -246*i**2*v + 78780*v**3 What is the second derivative of 12675*u**2 + 73281*u wrt u? 25350 Find the third derivative of -10816*a**6 - 489*a**2 + 3. -1297920*a**3 Find the third derivative of -46*m**6 - 13904*m**3 - 5939*m**2 + 64*m wrt m. -5520*m**3 - 83424 What is the first derivative of 17*d**3 + 3*d**2 + 37*d + 62003? 51*d**2 + 6*d + 37 What is the second derivative of -10*g**5 - 3*g**4 + 29868*g? -200*g**3 - 36*g**2 Differentiate 2*f*j*x - 2*f*t**2 + 6*f + 35*j*t**2*x - 37*j*x + 19*t**2*x - 5*x wrt t. -4*f*t + 70*j*t*x + 38*t*x Find the third derivative of -338950*l**2*z**6 + 8*l**2*z + 2*l*z**3 - 987*z**2 wrt z. -40674000*l**2*z**3 + 12*l What is the second derivative of -199654*n**2 + 119136*n? -399308 What is the second derivative of 2*d*i**3 + 2*d*i + 40712*d + 531016*i**3 - 3*i wrt i? 12*d*i + 3186096*i Find the third derivative of -f*n**4 + 37*f*n**3 + 12*f*n**2 - 2*f + 2*n**4 - n**3 - 209*n**2 wrt n. -24*f*n + 222*f + 48*n - 6 Find the third derivative of 430250*z**4 + 7*z**2 - 45645. 10326000*z Find the first derivative of 2*h**3*l**3 + 456*h**3*p - 12*h**2*l**3 + 7*h*l**3*p - h*l*p**2 - 39*h wrt p. 456*h**3 + 7*h*l**3 - 2*h*l*p What is the third derivative of 33861*g**3 + 35660*g**2? 203166 Differentiate -521273*t**4 - 253955 wrt t. -2085092*t**3 What is the first derivative of -1122783*c**3 + 1655247? -3368349*c**2 Find the second derivative of 6706*b*t**3 - 478*b*t - 2*b - 2*t**3 + 60 wrt t. 40236*b*t - 12*t Find the third derivative of s**3*w**2 - 2*s**3*w - 2997*s**3 - 6*s**2*w**2 - 82*w**2 wrt s. 6*w**2 - 12*w - 17982 What is the second derivative of -71366*v**5 + v**2 + 254160*v wrt v? -1427320*v**3 + 2 What is the third derivative of 20*s**5 - 7707*s**4 + 3*s**3 + 24*s**2 + 864*s - 2? 1200*s**2 - 184968*s + 18 Find the third derivative of -421073*i**3 - 347670*i**2 wrt i. -2526438 What is the third derivative of -4655*m**5 - 260*m**4 + 2*m**3 - 204244*m**2 + 2*m + 2? -279300*m**2 - 6240*m + 12 What is the third derivative of -670495*i**2*s**5 + 3*i**2*s**2 - 1599*i**2*s - i**2 + i*s - 2*s**2 wrt s? -40229700*i**2*s**2 What is the second derivative of 2*a**2*h**2*l**3 - 346*a**2*h**2*l**2 - 2*a*h**2*l**3 - a*h**2*l - 9*a*l**3 - 36*h**2*l**2 wrt a? 4*h**2*l**3 - 692*h**2*l**2 What is the third derivative of -2*o**4*z - 752*o**4 + 2*o**3*z - 19*o**3 - 248001*o**2*z wrt o? -48*o*z - 18048*o + 12*z - 114 What is the third derivative of 21639*j**3*m**2 + 2*j**3 - 4*j**2 - 20764*m**2 wrt j? 129834*m**2 + 12 Differentiate -562*c**4 - c**3 + 2*c**2 + c - 399018 with respect to c. -2248*c**3 - 3*c**2 + 4*c + 1 What is the third derivative of 3*k**5 - 8*k**4*q - 2516*k**3*q - 1569*k**2*q + 31*k*q wrt k? 180*k**2 - 192*k*q - 15096*q What is the second derivative of -2*d*r**2 - 39*d*r + d + 40
{ "pile_set_name": "DM Mathematics" }
0.3 c Which is the closest to 1/3? (a) -2 (b) -2/1459 (c) -0.1 b What is the closest to -1 in 4/13, 5, 3/8, -0.2? -0.2 Which is the nearest to 3/5? (a) -2 (b) -0.2 (c) 313 b Which is the closest to 0.1? (a) 6/23 (b) -256 (c) 3 a What is the nearest to 10 in -5, 0.1, 1/5? 1/5 What is the closest to 2 in -2/3, 2, -3, -0.026? 2 What is the closest to 0.04 in 2/3, 10/9, -2? 2/3 Which is the nearest to -11? (a) 1 (b) -3 (c) -18 (d) 5 c Which is the nearest to -1? (a) -1585 (b) -1 (c) 5 b Which is the nearest to 5? (a) 33 (b) -4 (c) -1 c What is the nearest to 2 in -0.5, 5, -4, 65? -0.5 What is the closest to -1 in 44, 0.2, 0.5? 0.2 What is the closest to 3/793 in -4/3, -0.3, 4? -0.3 What is the nearest to 22 in -3/5, 3, -3/4, 0.3? 3 What is the closest to 1.3 in 1, -5, -1? 1 What is the nearest to -1 in 20/11, -1.84, 2, 3/2? -1.84 Which is the closest to 1? (a) 2/7 (b) 0.3 (c) 4/9 (d) -1 c What is the nearest to -1 in 2/7, -1, -1.5, -0.2? -1 Which is the nearest to 3/19? (a) 1 (b) 3/13 (c) 4 (d) -4/5 b What is the closest to 0 in 4/7, 12, 25? 4/7 What is the closest to 1/2 in 2, -3, -1/5, -16? -1/5 Which is the nearest to 5? (a) -2/7 (b) -3 (c) 4 (d) -0.4 c Which is the nearest to 1/3? (a) -1/6 (b) -43 (c) -1 a What is the nearest to -1 in -89/8, 0.1, 0.2? 0.1 What is the closest to 0.1 in -21, -1/4, -3? -1/4 Which is the closest to 1/4? (a) 5 (b) -2 (c) 2 c Which is the closest to 1? (a) 0.3 (b) -0.19 (c) -2 (d) -17 a What is the closest to -0.1 in 1399, 4, 5? 4 Which is the nearest to 0.1? (a) -2 (b) -2/3 (c) 0.05 c What is the closest to -1.7 in -2/7, 22, -1? -1 Which is the nearest to -0.1? (a) 54 (b) -21 (c) 6 c Which is the closest to -13? (a) -19 (b) 3 (c) 5/6 a What is the nearest to -0.4 in 17, 6/5, -2/3, -5? -2/3 What is the nearest to 2/7 in 0.4, -1/6, -3, 8? 0.4 What is the nearest to 12 in 1, 0.2, -17, -3? 1 Which is the closest to -0.7? (a) -16 (b) 1/3 (c) -5 b What is the nearest to 2 in 1/2, -6, 3/7, 0.4? 1/2 What is the closest to 0.1 in 1/8, 0.8, -11, 1? 1/8 What is the nearest to -2/7 in -0.6, -5, 6? -0.6 Which is the closest to -0.5? (a) -0.004 (b) 0.4 (c) 0 (d) 2 a What is the closest to 0.02 in 5, -5, 1/10, -0.5? 1/10 Which is the closest to 0? (a) -8 (b) -2/5 (c) -7 (d) -2/11 d What is the closest to 4 in 0.003, 2, -0.2? 2 What is the closest to -1/2 in 1, 0.1, -0.3, 8? -0.3 Which is the closest to -2/9? (a) -3 (b) 3 (c) -3/8 (d) 1/2 c Which is the nearest to -31? (a) -4 (b) -5 (c) -1/2 b Which is the nearest to 1/16? (a) -4 (b) -3 (c) -1/22 c Which is the closest to 2/5? (a) 3/7 (b) 4 (c) 5 (d) -2/7 a Which is the closest to 1/4? (a) -2/3 (b) 1/2 (c) 2/7 (d) -0.3 c What is the closest to -1/4 in -1, -3, -9.36, -1/8? -1/8 Which is the closest to 1? (a) 3 (b) -1/5 (c) 14 (d) -3 b What is the closest to -5 in -0.7, -2/7, 3, 1/5? -0.7 Which is the closest to 0.2? (a) -5 (b) -2 (c) 6 (d) 5 b What is the nearest to -0.1 in 6, -5, 2/11, -3/2? 2/11 What is the closest to -35 in -12, 1, -5? -12 Which is the nearest to -1/4? (a) 7/2 (b) 0.3 (c) -0.04 c Which is the closest to -0.12? (a) -1/6 (b) 3 (c) -2 a Which is the nearest to -2/5? (a) 4/5 (b) 1/2 (c) 5 b What is the closest to 2/7 in -5, 4, 2/13, 0.5? 2/13 What is the nearest to 4 in 2/113, -0.06, -0.3? 2/113 Which is the nearest to 2? (a) -0.2 (b) -27 (c) 2/3 c Which is the closest to 3? (a) 0.04 (b) -1 (c) 3 (d) 2 c Which is the closest to -2/5? (a) 5 (b) -0.12 (c) 0.5 (d) -3 b What is the closest to 3 in -0.55, 0.5, -1/2, -5? 0.5 What is the nearest to -28 in 1/6, -3/4, 1, 3? -3/4 Which is the nearest to 3/4? (a) 384 (b) -2/27 (c) -3 b What is the closest to -3 in 5/2, -4, 0.1? -4 Which is the closest to 4/7? (a) 10 (b) 2 (c) 46 b What is the closest to -2/3 in -0.37, -8, 0.3? -0.37 What is the nearest to -8 in 1/3, 1/2, -15, 2/7? -15 What is the closest to -886 in -0.3, 0.5, 2? -0.3 Which is the nearest to -104? (a) -1 (b) -2 (c) -4 (d) 1 c What is the nearest to 2 in 0, -0.4, 12, 3/2? 3/2 What is the nearest to 5 in 3, 0.4, -0.1, 140? 3 Which is the closest to 1/4? (a) 4 (b) 1/7 (c) 20 (d) 0 b Which is the nearest to 3? (a) -0.2 (b) -3/7 (c) -3.3 a Which is the nearest to 2/5? (a) -0.29 (b) 3/4 (c) -1/5 (d) 2 b Which is the nearest to -0.2? (a) -2 (b) 3.5 (c) 5 a What is the nearest to -0.08 in -6, 0.3, 1/4, 5? 1/4 Which is the nearest to 0.1? (a) -0.1 (b) 24 (c) -2/7 a What is the closest to 0 in 1/4, 4/5, 0.3, -5? 1/4 What is the closest to -45 in -2/9, -5, 1? -5 Which is the closest to 1/5? (a) 1 (b) -3 (c) 3 (d) 11 a Which is the closest to -1/2? (a) 5 (b) 0.2 (c) 0.7 (d) -9 b What is the closest to 0.2 in -177, 1, -0.2? -0.2 Which is the nearest to 3? (a) -5 (b) -1 (c) 8 (d) 5 d Which is the closest to -3/10? (a) -0.4 (b) -3/2 (c) 0 (d) 2 a Which is the closest to -0.01? (a) -6/7 (b) -2/11 (c) 0.3 (d) -175 b Which is the nearest to -1/2? (a) 0.1 (b) -6 (c) 3 (d) -1 d Which is the closest to 0.1? (a) -3 (b) -0.33 (c) 0.5 c What is the nearest to 3 in -6, 0, -7/2? 0 Which is the nearest to 0.11? (a) 5 (b) 12 (c) 1/2 c Which is the closest to -7? (a) -4/5 (b) -10/11 (c) -2 c What is the nearest to 0.2 in 5/6, -470, -1? 5/6 What is the closest to 5 in -4, -2/3, -2, 5? 5 Which is the nearest to -0.527? (a) -4 (b) 0.1 (c) -2/5 c What is the closest to 0.5 in -0.097, 3, -0.5? -0.097 Which is the closest to 13? (a) -0.3 (b) 11 (c) -4 (d) 4 b Which is the nearest to 1/16? (a) -4/5 (b) 0.5 (c) -50 b Which is the nearest to 5? (a) -16 (b) 3 (c) 2 b Which is the closest to 0.1? (a) 4 (b) 4/3 (c) -0.15 (d) 1/4 d What is the nearest to 1 in -1, 0.0401, 2? 0.0401 Which is the closest to 3? (a) -5 (b) 4 (c) -0.1 (d) -0.4 b What is the closest to -1/2 in -7, 4, -1, -2? -1 Which is the nearest to 0? (a) 0 (b) 2 (c) 1.5 (d) -0.1 a What is the closest to 1 in 4, -1, 2/9, 12? 2/9 Which is the closest to 0.7? (a) 0.4 (b) 5 (c) -1/6 (d) -0.2 a What is the nearest to -3 in -1/4, 4, 8? -1/4 Which is the nearest to -10? (a) 1 (b) -0.5 (c) 0.042 (d) -0.3 b Which is the nearest to 2? (a) 3 (b) -0.5 (c) 1/2 (d) -0.1 a What is the nearest to -5 in -5/4, -0.1, 1, 0.2? -5/4 Which is the closest to -2/9? (a) 4 (b) -4/7 (c) 1135 b Which is the closest to 1? (a) 1/5 (b) -3/5 (c) -0.4 (d) 5 a Which is the closest to 2/9? (a) 0.2 (b) 3 (c) -2/5 a Which is the nearest to -3? (a) -0.1 (b) 5 (c) -4/3 c Which is the closest to -17? (a) -0.3 (b) -10 (c) 0.2 (d) 4 b Which is the nearest to -2/3? (a) -0.11 (b) 5 (c) -2/19 (d) -0.4 d What is the closest to -21 in 2, 3/8, 3, 4? 3/8 Which is the closest to 0? (a) 3/7 (b) -2/19 (c) 2/23 c Which is the closest to -0.2? (a) -20 (b) 17 (c) -3/5 (d) 0 d What is the nearest to -4/3 in 0.2, -3/11, -2, -3? -2 What is the closest to 1 in -600, 1/5, 5, 0.5? 0.5 Which is the nearest to -0.048? (a) 1/4 (b) 2/13 (c) 3 b Which is the nearest to -1? (a) -6 (b) 1/8 (c) -3 (d) 3/5 b Which is the closest to -1? (a) 2/11 (b) -3/17 (c) 8 b Which is the nearest to -1? (a) 3 (b) 4 (c) -40 a What is the closest to -1 in 2/29, 5, -0.07, 3? -0.07 What is the nearest to 0.2 in 148, 3, -3/4? -3/4 Which is the nearest to -2? (a) -1/5 (b) 28 (c) -5 a What is the nearest to 0.1 in 0.05, 4, 0.07, 1/3? 0.07 Which is the nearest to 1/3? (a) -1 (b) -2/3 (c) 1399 b What is the nearest to -2 in 6/11, -1/4, 5/3? -1/4 What is the closest to -1 in -1, -0.5, 92, -4? -1 Which is the closest to -1? (a) 3/7 (b) -2 (c) 3/130 b Which is the closest to -6? (a) -2/9 (b) -1 (c) 13/3 (d) 0.1 b What is the nearest to -5 in 3/7, 3, 4, -1/4? -1/4 Which is the nearest to 2/5? (a) -0.4 (b) 0.21 (c) 4 b What is the nearest to 0.1 in -2/9, 2/3, -5, -0.1? -0.1 What is the nearest to 3 in 3, 11, 0? 3 What is the nearest to -1/4 in -2, -3/5, 1? -3/5 What is the nearest to 1 in 1/7, 7/11, -5? 7/11 What is the nearest to -1 in -17, -0.1, -1? -1 Which is the closest to -0.1? (a) 4 (b) 0 (c) -1 (d) 0.1 b What is the closest to -1/3 in 0, -4, 4.19? 0 What is the closest to 0.4 in -46, 3, -1.8? -1.8 What is the nearest to 0 in 3, -12, 10? 3 Which is the nearest to
{ "pile_set_name": "DM Mathematics" }
*d**4 Expand -5*y**4 + 0*y**4 + 2*y**4 + (-4*y**4 + y**4 - y**4)*(-3 + 4 + 5). -27*y**4 Expand ((-7 + 3 - 3)*(4 - 1 + 0) - 5 + 3 + 3)*(g**5 + 0*g**5 - 4*g**5) + 8 - 8 + 10*g**5 + 1 - 1 - g**5. 69*g**5 Expand (-1 - 1 + 1)*(3*j - j - 3*j) + 384 - 764 + 385 + 6*j. 7*j + 5 Expand (3 - 1 - 5)*(41*g + 29*g + 30*g + 64*g). -492*g Expand ((3 + 3 - 4)*(4*w - 6*w + 0*w) - 5 + 5 - 2*w)*(-3 + 0 - 6 - 5 + 1 + 3 + (3 - 2 - 3)*(2 + 0 - 3))*(-4 + 5 + 0). 48*w Expand (3 - 3 + 6*r + (3 - 1 - 1)*(0*r + r + r) - 3*r + r + 4*r + r + r + 0*r)*(123 + 3*r - 124 + r). 48*r**2 - 12*r Expand -4*x**3 + x**3 + x**3 + (-2 - x - 4*x + 6*x)*(283882*x - 486*x**2 - 283882*x). -488*x**3 + 972*x**2 Expand (-3 + 4 + 2)*(s**4 - 2*s**4 + 3*s**4) - s**4 - 4 + 4 + (1 - 2*s - 1)*(-s**3 + s**3 + 6*s**3) - s**4 + 2*s**4 + s**4. -5*s**4 Expand 19*r - 1 + 22*r - 42*r + (2 - 5 - 2)*(0*r + 4*r - 5*r). 4*r - 1 Expand (u**2 - u**2 - 11*u**3)*(-1 + 1 - 3) + (4*u**2 - 6*u**2 + 0*u**2)*(-u + 2*u - 5*u). 41*u**3 Expand (138*d - 138*d + 14*d**4)*(1 - 1 - 3)*(2 + 5 - 5). -84*d**4 Expand (2*s + 0*s - s + (-2 - 3 + 3)*(14*s - 6 + 6))*(-3 + 23*s + 7 - 3). -621*s**2 - 27*s Expand (-1 + 1 + 2)*(-19*h**4 - 131573*h + 131573*h + 1 - 2*h**2). -38*h**4 - 4*h**2 + 2 Expand ((-3 + 3 + 4)*(-2*q**2 + 3*q**2 + 3*q**2) + (-q - 4*q + 4*q)*(2*q - 3*q - q))*(159*q**3 - 371*q**3 + 137*q**3). -1350*q**5 Expand ((b - b - b**2)*(1 + 4 - 2) - 23*b**2 + 86*b - 86*b)*(-4*b**3 - 7*b**2 + 7*b**2). 104*b**5 Expand (336 + 13*s - 336)*(-5 + 1 + 5 + (-1 + 6 - 3)*(1 + 1 - 4) + 4 - 3 + 0)*(2 + 3*s - 2). -78*s**2 Expand (-2*r**4 - r**4 + r**4)*(105 - 105 + 7*r) + 4*r**5 + 0 + 0. -10*r**5 Expand (223*f - 218*f**3 - 223*f)*(10*f + f - 3*f). -1744*f**4 Expand 0*g**4 - g**4 - 4*g**4 + 2*g**4 - 2*g**4 + 2*g**4 + (g**2 - g**2 - 2*g**3)*(1 - g - 1) + 0*g**4 + 5*g**4 + 5*g**4. 9*g**4 Expand ((4 - 1 - 1)*(2*n - 3*n + 0*n) - 3*n + 0*n + 2*n + 16*n - 10 + 10)*(-3 + 5 - 3 + (2 - 5 + 1)*(0 - 1 + 2) - 3 + 1 + 3). -26*n Expand (3*l - 2*l - 2*l)*(14*l + 21*l - 30*l + 42*l). -47*l**2 Expand (3 + 10*z**2 - 9 + 4)*(-978 + 50*z + 978). 500*z**3 - 100*z Expand (-2*u - 5*u - 3*u)*(16 + 19 + 8)*(5 - 2 - 2)*(2 + 3 - 6). 430*u Expand (7*k**2 + 1 - 6*k - 13*k**2 + 5*k**2)*(2*k + 4*k - 4*k). -2*k**3 - 12*k**2 + 2*k Expand ((-1 + 8 - 2)*(1 - 4 + 1) + (5 - 1 - 6)*(-3 + 3 + 2))*(-1 - j + 1). 14*j Expand (0*l - l - 4*l)*(3*l**2 - 2*l**2 - 2*l**2) + (0*l**3 + l**3 + l**3)*(2 + 4 - 1) - 159 - 12*l**3 + 159 + 5*l**3 - 4*l**3 - 3*l**3. l**3 Expand ((4 - 3 + 1)*(9 - 9 + 10*z) - z - z + 5*z)*(3*z + 2*z**2 - 3*z) + 2*z**3 + 2*z**3 + z**3. 51*z**3 Expand (2*p - 3*p - p)*(7 + 0 - 2)*(-1 - 1 + 1)*(-3 - 2 + 2). -30*p Expand (v + 0*v + v)*(-11123*v - 499*v**2 + 11123*v). -998*v**3 Expand (0 - 3 + 2 + (-1 - 1 + 3)*(4 - 5 + 3) + 5 - 4 - 2 + (0 + 1 + 1)*(-117 - 64 + 53))*(-4 + 2*u + 4)*(0*u - u + 2*u). -512*u**2 Expand (0 - 1 + 3)*(t**3 + 0*t**3 + 0*t**3) + (0*t**2 + t**2 - 3*t**2)*(404*t + 1250*t - 2214*t). 1122*t**3 Expand (184*h**4 + 114*h**4 - 70*h**4)*(-1 - 1 + 3). 228*h**4 Expand (2*u**2 + 0*u + 0*u + (4 + 0 - 6)*(2 - 2*u**2 - 2))*(955 + 985 - 576). 8184*u**2 Expand -2*u**4 - 4*u**4 - 5*u**4 + (-4*u**2 - 2*u**3 + 4*u**2)*(2 + 2*u - 2) - 2*u**2 - 4*u**2 + 2*u**4 + 4*u**2 + 3 - 3*u**4 - 3. -16*u**4 - 2*u**2 Expand (2*i**3 - 317*i**5 + 0*i**3 + 3 + 318*i**5)*(3 - 2 - 3). -2*i**5 - 4*i**3 - 6 Expand (-3*l + 3*l - 2*l)*(2 - 2 + 2*l) + l**2 + 0*l**2 + l**2 + 0*l**2 - 5*l**2 + 2*l**2 + (1 - 12 + 50)*(-l**2 - 3*l**2 + l**2). -122*l**2 Expand (-2*i - 3*i + 2*i)*(-25*i**2 + 13*i**2 - 15*i**2) + i**3 - 2 - 5*i**3 - 2*i**3. 75*i**3 - 2 Expand -d**3 + 2*d**3 + 0*d**3 + (5*d + 0*d - 2*d)*(-2*d**2 + d**2 - 2*d - d**2). -5*d**3 - 6*d**2 Expand (-d + 0*d - d)*(d**2 + d**2 - 3*d**2) + 2*d + 2*d**3 - 2*d - 3 - d**3 + 3 + (6 + 9 + 11)*(-6*d**3 + 3*d**3 + d**3). -49*d**3 Expand -2 - 36*c**5 + 34*c**5 + 3*c + 24 + (-4*c**3 + 4*c**3 + c**3)*(-2*c**2 + 3*c**2 - 3*c**2). -4*c**5 + 3*c + 22 Expand (1271*i - 1271*i - 32*i**2)*(-2*i - i**2 + 2*i) + (3*i**2 - 2*i**2 - 3*i**2)*(-i**2 + 0*i**2 + 0*i**2). 34*i**4 Expand (-6 - 17 - 12 + (2 + 1 - 2)*(1 - 1 + 2) - 1 + 3 - 3)*(0 + 0 - 1)*(-2*l + 2*l - l). -34*l Expand (-3 + 3 + 2*b)*(-3 + 6 - 1)*(-4 + 4 - 3)*(-10*b - 2*b + b). 132*b**2 Expand (4 - 4 - s)*(-3332*s - 64*s**2 + 3332*s)*(-s + 3*s + 0*s). 128*s**4 Expand (-2 - 3 + 3)*(-1 + 1 - 1)*(-d - d + 0*d) + (-1 + 0 + 2)*(d + 3*d - 6*d) + 37*d + 6*d + 16*d. 53*d Expand -4*r + r + r + (-1 + 2*r + 1)*(2 + 1 - 4) + r + 2 - 2*r + 0*r + (-6 + 1 + 1)*(5*r - r - 2*r). -13*r + 2 Expand (-3 + 3 - 2)*(2*f - 3*f + 0*f)*(-34 + 3 + 2). -58*f Expand (11*u**3 + 11*u**3 - 9*u**3)*(-u + 3*u - u) - u**4 + u**4 + 2*u**4. 15*u**4 Expand 0*z + 0*z + 2*z**2 + (5*z + 0*z - 2*z)*(-3*z + 3*z + z + (0 + 0 + 1)*(-5*z + 4*z + 3*z) + z - 2*z + 2*z). 14*z**2 Expand (-5*b**3 + 3*b**4 + 5*b**3)*(42 - 12 + 35) + (-1 + 1 + 2)*(-b**4 - 2*b**4 + 5*b**4). 199*b**4 Expand (190 + 511 - 162)*(2*x**4 + 2 - 2) - 4*x**3 - 2*x**4 + 4*x**3. 1076*x**4 Expand (c + 4*c + 0*c)*(c**3 + 12*c**3 - 16 - 12*c**3). 5*c**4 - 80*c Expand (-5951 + 9*h**3 + 5976 - 4*h**3)*(-h - h**2 + h). -5*h**5 - 25*h**2 Expand (4 - 9*p - 4 - 3*p + 2*p + 3*p + (0 + 0 + p)*(4 + 0 - 2) + 0 + 2*p + 0 + 1 - 2*p - 1 - 16 + 16 - 3*p)*(0 + 0 - p) - 3*p**2 + 2*p**2 + 0*p**2. 7*p**2 Expand -47*n**2 + 16*n**3 + 47*n**2 + (-5 + 17*n**2 + 5)*(0*n + 4*n - 3*n). 33*n**3 Expand (-3 + 2 + 0)*(2*x + 1 - 1) + 22 + 854*x + 840*x - 1678*x. 14*x + 22 Expand (19*p + 14*p - 12*p + (3 - 6 + 2 + 3 - 2 - 3 + (-3 + 1 + 3)*(-2 + 5 - 4) + 3 - 4 + 3)*(-p + 0*p + 2*p))*(0 + p**2 + 0). 19*p**3 Expand 0*q**5 + 2*q**5 - 4*q**5 + ((-1 - 2 + 0)*(0*q + 3*q - 2*q) - 12*q + 11*q + 5*q)*(2*q**4 + 2*q**4 - 6*q**4). -4*q**5 Expand (7*y + 5*y - 6*y)*(-8*y + 0*y + 2*y)*(y + y - y). -36*y**3 Expand (5*p - p - p)*((1 - 1 + 1)*(-5 - 1 + 3) + 9 + 0 + 1). 21*p Expand (3*h**3 - 3*h**3 - 2*h**4)*(2 + 4 - 5) + 1203*h**4 - 621*h**4 - 645*h**4 + 7*h**2. -65*h**4 + 7*h**2 Expand 0*p**5 + 5*p**5 + 0*p**5 + ((2 - 4 + 1)*(-p + 5*p + 2*p) + (0*p + 2*p + 0*p)*(0 - 4 + 3) + p + 0*p + 0*p)*(-2*p**4 - p**4 + 4*p**4). -2*p**5 Expand (-17 - 8*u**2 + 17)*(-9*u**2 - 17 - 11 + 31). 72*u**4 - 24*u**2 Expand (3 + o**2 - 3)*(-18*o + 183*o**2 + 4*o + 13*o). 183*o**4 - o**3 Expand 3*n + 5*n - 3*n + (2 - 3 - 1)*(3*n - 4*n + 3*n) + (-9 + 9 - 2*n)*(2 + 7 - 5). -7*n Expand (-3 + 4 + 3)*(4*h**2 - 4*h**2 + h**2) - 34*h - 32*h**2 + 34*h. -28*h**2 Expand (0*c + 0*c - c)*(4*c**4 + 3*c**4 - 3*c**4) + (-c - 2*c + c)*(0*c**4 - 2*c**4 + c**4) + (13*c**3 - 3 + 3)*(-c**2 - c**2 + 4*c**2). 24*c**5 Expand 2*r + 4*r**3 - 2*r + (2*r + 3*r - 4*r)*(0*r + 0*r - r**2) + 17*r**3 - 834 + 834. 20*r**3 Expand (-63 + 30 + 12)*(3*i + 0 + 2*i + 2). -105*i - 42 Expand (-i**4 - i**2 + i**2)*((2*i + 3*i - 6*i)*(0 - 1 - 2) - 2*i + 25*i - 3*i). -23*i**5 Expand ((-k - k + 0*k)*(-3 + 5 - 4) + 3*k + 4*k - k)*(7*k**4 - 136 + 136)*(0 + 4 - 2). 140*k**5 Expand 8*v + 1952*v**2 - 12*v**3 - 1959*v**2 + 14*v**3 + 2*v**3 - 3*v**3 - v**3 + (1 - 2*v - 1)*(-v**2 + 0*v**2 + 2*v**2). -2*v**3 - 7*v**2 + 8*v Expand -5*i**4 - 4*i**4 + 4*i**4 + (-i**4 - 3*i**4 + 3*i**4)*(2 + 0 + 1). -8*i**4 Expand (-2*l**4 + 4*l - 4*l)*(-1 + 2*l + 1) + l**5 - 6*l - l - 3*l**5 - l**4. -6*l**5 - l**4 - 7*l Expand (34*d - 157*d - 24*d)*(-2 + d**2 - 2*d + 3*d + d). -147*d**3 - 294*d**2 + 294*d Expand (-6*a**2 - 4*a**2 + a**2)*(-a + a + a)*(7 + 1 - 3). -45*a**3 Expand (0 - 1 + 0)*(78 + 11*v - 78) + (2*v + 2*v - 2*v)*(2 - 5 + 2) - 3*v - v + 3*v. -14*v Expand 0*b**3 - 2*b**3 + b**3 + 15569*b - 15569*b + 347*b**3 + (3 - 3 - b)*(3*b**2 - 4*b**2 + 0*b**2) - b**3 - 3*b**3 + 5*b**3. 348*b**3 Expand (-3 - 5 - t + 4)*(6*t**2 + 3*t**2 - 7*t**2). -2*t**3 - 8*t**2 Expand (-21*l + 11*l - 13*l)*(2 - 2 + l**2) - 5*l**2 + 5*l**2 + l**3. -22*l**3 Expand (-3*w + 3*w - 2*w)*(-7*w + 3*w + 3*w) + 2 + w**2 - 2 + 2971*w**2 + 1 - 763*w**2 - 1493*w**2. 718*w**2 + 1 Expand (-2 + 1 + 5)*(3*a - 2*a - 2*a)*(3*a - 3*a - 2*a**4) + 15*a**5 + 12*a**5 + 3*a**3 - 31*a**5. 4*a**5 + 3*a**3 Expand (-1299 - 51*o + 1299)*(6 + 3 - 1). -408*o Expand (-1 + 3*p + 1)*(153 - 38*p - 153)*(2*p - 4*p + 0*p). 228*p**3 Expand (2*u**2 - 5*u**2 + u**2)*(3209*u - 1769*u - 1668*u) + 0*u**3 + 2*u**3 + u**3. 459*u**3 Expand (-5 + 4 - 3)*((0*t - 2*t - 3*t)*(5 - 2 + 0) - 2 + t +
{ "pile_set_name": "DM Mathematics" }
the tens digit of p? 3 Let f(t) = -t**3 - 44*t**2 + 32*t + 94. What is the units digit of f(-46)? 4 Suppose 0 = -2*x + x + 19. Suppose -4*k - 2 = 2*h, 4*h + x - 43 = -k. What is the tens digit of h/28 + 518/8? 6 Let d(p) = 3*p**2 + 71*p - 13. What is the tens digit of d(-26)? 6 Let h(y) = y**3 - 5*y**2 + 3*y + 4. Let x be h(4). Suppose 5*t - 260 = -5*v, -4*v + x*t + 199 = -5*t. What is the units digit of v? 1 Suppose 694 = 4*m - 2*u - 538, 4*u - 913 = -3*m. What is the units digit of m? 7 Suppose 423 = 5*s + 128. Let w be s + -2 + (-1 - -4). Suppose b - w = -2*b. What is the tens digit of b? 2 Let x(u) = -5*u**3 - 2 - 7*u - 4*u**2 - 5 + 3*u**3 + u**3. What is the tens digit of x(-5)? 5 Let f(v) = -6 + 15*v**2 - 2*v**2 + 29*v - 6*v**3 - 10*v. Let b(o) = 7*o**3 - 14*o**2 - 20*o + 5. Let m(z) = 5*b(z) + 6*f(z). What is the units digit of m(9)? 4 Suppose 0 = -3*q + 8*q - 1590. Suppose 0 = -r + 5*b + 72, 2*b = 4*r - 3*b - q. What is the units digit of r? 2 Let p = 1118 - 605. What is the units digit of p? 3 Let w = -150 + 232. What is the tens digit of w? 8 Let q(k) = -2 - 4*k**2 + 0 - 3 - k**3. What is the tens digit of q(-5)? 2 Let m(h) = 195*h + 88. What is the units digit of m(3)? 3 Suppose -3*t + 10 = -5*b, -2*t + 13 = 2*b + b. Let j be (-12 - 2) + (3 - b). Let u = 35 + j. What is the units digit of u? 3 Suppose 0 = 2*y + 2*y. Suppose 5*g = t + 21, 4*t - 16 = -5*g - y*t. What is the units digit of g + (2 - 3/1)? 3 Let g(p) = -3*p**3 + 10*p**2 - 3*p + 2. Let v be g(3). Suppose m - 1 = -3*w - 3*m, -m + 4 = v*w. What is the units digit of w? 3 Let r(a) = 502*a**2 - 12*a - 34. What is the tens digit of r(-2)? 9 Suppose 12921 = 41*j - 36033. What is the units digit of j? 4 Let a(s) = -111*s - 16. What is the units digit of a(-7)? 1 Let m = 185 + -112. Let b = 35 + m. Suppose 0*c = -3*c + b. What is the tens digit of c? 3 Let x = 17 - 30. Let g = x + 31. What is the units digit of -4 - -5 - (2 - g)? 7 Suppose -2*g + 40 = -0. Suppose 3 = o - 2*s, -o - 27 = -3*s - 31. What is the units digit of 20*(g/8)/o? 0 Let u = -17 - -69. Suppose 102 = u*w - 50*w. What is the tens digit of w? 5 Suppose 4*r = 5*h - 2364, h - 4*r - 458 = 18. What is the hundreds digit of h? 4 Suppose 0 = -3*w - 2*q + 8, -13 + 1 = -2*w - 3*q. Suppose -5*u + z + 415 = w, -4*z + 23 = 3. What is the units digit of u? 4 Suppose 0 = -5*y + 10, 5*w + 8*y = 5*y + 16. What is the tens digit of ((-8)/(-6)*16)/(w/3)? 3 Let r(c) be the second derivative of c**4/12 + 13*c**3/6 + c**2/2 + 6*c. What is the units digit of r(-13)? 1 Let x(z) be the second derivative of z**5/10 - 5*z**4/12 + z**3/3 + z**2 + 51*z. What is the units digit of x(5)? 7 Suppose 0 = -5*y + 26 - 11. Suppose y*t = 4*t - 2. Suppose -5*z + 230 = 5*u, -2*u - t*z = 2*u - 188. What is the tens digit of u? 4 Suppose -4*v - 124 = -0*v. Let g = 86 + v. What is the units digit of g? 5 What is the units digit of (2 - (-3 + -985))*4/10? 6 Let o(m) = m - 6. Let g be o(6). Suppose -129 = -5*v + 4*y, g*y = -v + 4*y + 29. Suppose 6*k = k + v. What is the units digit of k? 5 Suppose 74*k + 105 = 81*k. What is the tens digit of k? 1 Let o(n) = 26*n + 5. Let h = -43 - -46. What is the units digit of o(h)? 3 Suppose -3*h + 3*k = -4242, 6*k = -3*h + 5*k + 4246. What is the units digit of h? 5 What is the tens digit of (21/2 + -7)*(-98)/(-1)? 4 Let m(y) = 87*y - 178. What is the hundreds digit of m(14)? 0 Let z be 0/(-4 + 1/1). What is the tens digit of z - (0 + -47 - 1)? 4 Suppose -14*a = -a - 11544. What is the hundreds digit of a? 8 What is the units digit of 1570 - 12/(-3) - -3? 7 Let v(b) = 17*b + 4. Suppose -q + 2*q + 3*x + 3 = 0, -5*x - 7 = q. Let t be v(q). What is the units digit of t + (-5)/((-20)/(-12))? 2 Let f(a) be the third derivative of a**5/60 + 5*a**4/12 - 7*a**3/3 - 34*a**2. Suppose 0 = -2*c - 31 + 5. What is the tens digit of f(c)? 2 Let y be ((-4)/3)/(1/(-3)). Let u(h) = 57*h + 45. What is the tens digit of u(y)? 7 Let n(g) = -2*g**3 - 3*g - 9. Let q be n(-3). Suppose -q - 36 = a. What is the units digit of (-4)/(-18) + (-340)/a? 4 Let v(z) = 14*z + 15. Let x be v(-5). What is the tens digit of 32*(1 - x/20)? 2 Suppose 0 = -m - a + 729 + 515, -3*m - 5*a = -3734. What is the thousands digit of m? 1 Let b(x) = 101*x + 80. What is the units digit of b(9)? 9 Let z(y) = y**3 + 2*y**2 - 3*y + 2. Let s be z(2). Suppose n + 5*u + 3 = 0, -4*n - 3*u = -5*u + s. Let t = 20 - n. What is the units digit of t? 3 Suppose -3*p - 1 + 7 = 0. Suppose -p*h = 2*f - 24, 0*f = 5*f - 5*h - 10. What is the units digit of f? 7 Suppose -4106 = -18*j + 43630. What is the thousands digit of j? 2 Let w(h) = h**2 + 11*h - 30. Let c be 292/(-18) + 24/108. What is the units digit of w(c)? 0 Suppose 2*i + 3*i - 9855 = 5*s, 0 = 4*i + 2*s - 7854. What is the units digit of i? 6 Suppose 61 = 7*c - 2256. Let r = c - 190. What is the hundreds digit of r? 1 Let z(b) = 3*b - 6. Let o be z(2). Suppose o*y - y = -11. Suppose 7*q + 104 = y*q. What is the units digit of q? 6 Suppose 4 = -4*z + 2*z - 2*q, 3*z - 10 = q. Suppose 7*d + 25 = z*d. What is the units digit of (0 - 2 - d)*2? 6 Let f be 16*111*(-1)/(-6). Suppose 4*b = 156 + f. What is the hundreds digit of b? 1 Let s(l) = 15*l**3 - l**2. Let n be s(-1). Let a = n - -92. What is the tens digit of a? 7 Let b(p) = -78*p**3 - 6*p**2 + 4*p. What is the hundreds digit of b(-2)? 5 Suppose -4*u + 7 = h - 9, 0 = 2*u + 3*h - 8. What is the units digit of (69/u - 0)/((-18)/(-96))? 2 What is the units digit of (-3 - 28)/((45/261)/(-5))? 9 Let r be 1/3*-560 - (-10)/15. Let m = 352 + r. What is the units digit of m? 6 Suppose -225 = -5*h - 4*c + 285, 408 = 4*h + 2*c. What is the tens digit of h? 0 Suppose 5*w + 2*h - 195 = 0, w + 4*h - 5 = 34. What is the units digit of w? 9 Let b(a) = 4*a - 18. Let k be b(5). What is the units digit of k*(1 - (-1)/(-2)) - -71? 2 Suppose 46*h = 50*h - 1316. What is the hundreds digit of h? 3 Suppose 11728 = -0*m + 8*m. What is the hundreds digit of m? 4 Let a(f) = f**3 - 6*f**2 + 4. Let r be a(6). Suppose q + 3*c = -4*q + 89, -5*q + r*c + 103 = 0. What is the units digit of q? 9 Let v(k) = 4*k**2 + 5*k + 7. Suppose -3*x - 89 = -5*n, 0 = -0*n - n + x + 17. Let g = 16 - n. What is the tens digit of v(g)? 2 Let h(g) be the first derivative of g**4/4 - 4*g**3 + 10*g**2 - 5*g - 25. What is the tens digit of h(11)? 9 Let c(o) = 3*o**2 - 6*o + 7. Suppose 0 = 2*k - 2*l - 32, -5*k + 56 = -2*k - l. Let z = k - 16. What is the units digit of c(z)? 1 Let x = -106 - -14. Let n = 181 + x. What is the units digit of n? 9 Let k = -1111 - -1706. What is the hundreds digit of k? 5 Let l = 1155 - 605. What is the hundreds digit of l? 5 Suppose 0 = n + 3*n + w, -n = 3*w. Suppose -3*h + 3 + 3 = n. Suppose 0 = 3*r - 5*j - 21, -h = -r + 2*j + 4. What is the tens digit of r? 1 Let w(l) = 2*l**2 - 6*l + 295. What is the units digit of w(-21)? 3 Let a(y) = -y**2 + 10*y - 19. Let t be a(7). Let o = 24 + 8. Suppose t - o = -2*z. What is the tens digit of z? 1 Let x = -129 - -248. Let b = 190 - x. What is the tens digit of b? 7 Let v(r) = 3*r**3 - r. Let h be v(1). Suppose h*i + 4*p - 16 = -2*i, -5*i + p = 4. Suppose -q + 44 + 3 = i. What is the tens digit of q? 4 Suppose 0 = -3*t - m - 3*m + 22, -5*t = -m - 6. Suppose -t*q + 38 = -128. What is the units digit of q? 3 Let x be 128 + (0*(-4)/8 - -2). Suppose -t + x = 4*t. What is the units digit of t? 6 Let l(i) = 132*i + 5. What is the units digit of l(1)? 7 Suppose 0 = -10*d + 5*d - 3*h + 37, -4*h + 41 = 5*d. Suppose -312 = -3*g + d*z, 4*g - 3*z + 144 = 549. What is the tens digit of g? 9 Let v be 2/4*86*1. Suppose -g - 5*t = -3*g - 19, 3*t + 103 = -4*g. Let j = g + v. What is the units digit of j? 1 What is the units digit of (22134/35)/(2/20*3)? 8 Let v = 471 + -110. Suppose -5*u - 5*f + 395 = 0, 0 = 4*u + 5*f - v + 40. Suppose -5*h - 9 = -2*w - 194, -2*h + u = -5*w. What is the units digit of h? 7 What is the hundreds digit of ((-36)/(-20) + 3)*(-1395)/(-18)? 3 Let s = -4 - 2. Let u(d) = -d**3 - 7*d**2 - 2*d + 6. Let m be u(s). Let y = m + 26. What is the units digit of y? 8 What is the hundreds digit of 9/(54/12) - -1130? 1 Let o = 1200 + 1846. What is the units digit of o? 6 Let z(f) = -f - 2. Suppose 10 = 5*c - 15. Suppose 0 = -c*i + 3*m - 26, -3*i - m = -0*m
{ "pile_set_name": "DM Mathematics" }
False Are -261907 and -261431 equal? False Is -133129/271 at least -491? False Is 52563688 != 52563688? False Is 3710/96037 <= 0.1? True Is -323520 less than -322904? True Which is greater: 9544431 or 9544433? 9544433 Which is bigger: -4996/45269 or -1? -4996/45269 Is -19264/995 bigger than -18? False Which is bigger: 33374 or 2603143/78? 33374 Which is bigger: -8/33 or 9.1744? 9.1744 Which is smaller: 47/4100839 or 0? 0 Is -188159 > -2069742/11? False Which is smaller: -1 or -68.2431? -68.2431 Which is greater: 3997018 or 3996994? 3997018 Which is smaller: -0.217 or 4.34079? -0.217 Which is greater: 2/105876879 or 1? 1 Which is greater: -0.230909 or -0.026? -0.026 Which is smaller: 35040485 or 35040482? 35040482 Is 156059 < -0.386? False Is 0 smaller than 1069/2334? True Which is smaller: -138/48457 or -1? -1 Is 27/11 greater than or equal to -0.46769? True Is 23711544 at least 118557714/5? True Which is greater: -9307 or -2160? -2160 Do 49605919 and 49605919 have the same value? True Which is smaller: -17440776/11 or -1585524? -17440776/11 Is 684064 at most 0.02? False Which is smaller: -78994/11739 or -7? -7 Which is greater: -9/8918896 or -1/4? -9/8918896 Is 632 not equal to 1495? True Which is greater: 12149859 or 12149858? 12149859 Are -24969/3788 and -8 non-equal? True Is -31127/5182 smaller than -6? True Is 3330/440333 smaller than 1? True Which is smaller: 27777 or 38633? 27777 Which is greater: 0.1 or 15310031? 15310031 Which is smaller: 347816642 or 347816641? 347816641 Are 759995734 and 759995733 unequal? True Which is smaller: -181051 or -181012? -181051 Which is smaller: 142470408 or -1/4? -1/4 Is -104018841 smaller than -520094208/5? False Does -365413798 = -365413797? False Which is smaller: -65/11 or -0.19487? -65/11 Which is smaller: -8/15 or 269190? -8/15 Which is smaller: 290528571 or 290528570? 290528570 Is -4669 bigger than -11505? True Does -12.2396 = -210? False Is 777 equal to 36459/47? False Is -106 smaller than -118.9? False Which is bigger: 1 or -23/45875? 1 Are 1 and 2/34292853 equal? False Which is smaller: 7339 or -1361.5? -1361.5 Do -10346406 and -10346406 have the same value? True Which is greater: -1952820171 or -1? -1 Which is bigger: -12/37 or -701609? -12/37 Is 28956/4685 bigger than 6? True Is 73502671 > 73502666? True Is 766 greater than -4.7473? True Do -15916270 and -15916273 have different values? True Which is bigger: -10 or -61067? -10 Is -31710 < 89.66? True Which is smaller: -156450949/6 or -26075159? -26075159 Which is smaller: 0.027355 or 309? 0.027355 Which is bigger: -184330/579 or -318? -318 Which is bigger: 11.6 or -6.05? 11.6 Which is greater: 0 or -7/4965529? 0 Is -1645277/475 less than -3463? True Which is smaller: 5166071 or 5166069? 5166069 Is 6978.2 at most as big as 83? False Is 1/947241309 < 1? True Is -8.2 > 4/49205? False Is -1 less than -3/55620406? True Which is greater: -227917 or -227025? -227025 Is 1596 less than or equal to 917? False Which is greater: 0 or 94/119021? 94/119021 Which is bigger: 1 or -12/34825559? 1 Which is smaller: 1661 or -21677? -21677 Which is bigger: 3240312 or 2/3? 3240312 Which is bigger: -1 or 1043/514333? 1043/514333 Which is smaller: 6/11259223 or -1? -1 Is -187510924 at least -187510924? True Are 0 and 10/5115583 non-equal? True Which is greater: 32373 or 32401? 32401 Is 16/5172457 != -1? True Is -6.53 greater than -30/2939? False Is -5805761 greater than or equal to -5805762? True Which is smaller: 2/14675129 or -1? -1 Which is greater: 84/225887 or 1? 1 Is 271 at most as big as -2/387783? False Is 32.7593 at most 234? True Which is greater: 50945 or 49565? 50945 Do -96266323 and -96266322 have different values? True Which is bigger: -1 or -454.572347? -1 Which is smaller: 501/1150580 or -1? -1 Which is smaller: 7537 or 5727? 5727 Is 1 at most -13/6294081? False Which is smaller: -434345392/9 or -48260600? -48260600 Are 28649250/11 and 2604476 equal? False Which is smaller: -1723165 or -0.02? -1723165 Which is bigger: -256622 or -42? -42 Does -14 = -18544379? False Which is smaller: -2912752 or -2912755? -2912755 Is 277099 less than 277109? True Which is bigger: 5981337/77 or 77681? 77681 Is 587184333 at most as big as 587184333? True Is -1036585 greater than -1036642? True Is -11012 not equal to 1791? True Which is greater: -11141616 or -11141617? -11141616 Is 363553 at least 2544866/7? True Which is greater: 651730/123 or 5299? 5299 Is 81 smaller than -5399? False Which is greater: -98/402413 or 1? 1 Which is bigger: -8746 or -328.55? -328.55 Which is bigger: -96.532345 or -0.11? -0.11 Which is greater: 0 or 2/27113299? 2/27113299 Which is smaller: 1 or 795/21007? 795/21007 Does -27637611 = -27637615? False Which is bigger: 0 or -1437/9715? 0 Which is smaller: -2406/7 or 1/36312? -2406/7 Is 58201244/17 greater than or equal to 3423602? True Which is smaller: -262 or 41309? -262 Which is smaller: -1/10265 or -6936? -6936 Is 172 less than or equal to 595611? True Is 122290/953 bigger than 128? True Which is smaller: 459836 or 1507? 1507 Which is smaller: 16683477 or 16683475? 16683475 Which is smaller: -7205 or -4346? -7205 Which is bigger: 286980 or 286899? 286980 Is -174544602 at most -174544600? True Which is bigger: 1 or -3454/927695? 1 Is 1 > 3/23663305? True Is -10181007 less than 2? True Is -578830889/3 not equal to -192943631? True Is -19.6391 bigger than -1/9? False Does -81618385/3 = -27206127? False Are -2051438 and -2052029 unequal? True Which is bigger: -63 or 16154.7? 16154.7 Is 25/7 less than -56.7986? False Is -64486 != -64642? True Which is bigger: -455828 or -38? -38 Is -30617731 at most as big as -30617733? False Is 1374660 < 25? False Is -1047792 bigger than -6286753/6? True Which is greater: 1 or -286/114973? 1 Which is bigger: 1 or 2/364633921? 1 Which is greater: 37303871 or 37303875? 37303875 Is 0 != 189/1589551? True Which is bigger: -4512.5 or 46545? 46545 Do 298059 and 298056 have different values? True Which is smaller: -7548395 or -7548396? -7548396 Do 37134 and -5 have different values? True Which is smaller: 202630 or 3849968/19? 3849968/19 Which is smaller: 70508477/9 or 7834276? 70508477/9 Is -5352848 at most -5352614? True Does -414291 = -415672? False Do -117/566972 and 1 have different values? True Is -1351762316 at least -1351762316? True Are -382 and -92893 nonequal? True Which is smaller: 142 or -90/5779? -90/5779 Is -1676 bigger than 175377? False Which is smaller: 5007 or 1627654/325? 5007 Which is bigger: 55 or -3/129329? 55 Is 2034 < 5791? True Is 1 not equal to 3/140663360? True Which is greater: 15249/1076 or 15? 15 Which is bigger: 41437409/3 or 13812469? 41437409/3 Is 1 smaller than 468/639185? False Which is smaller: 0 or 795.163? 0 Which is smaller: 3806116 or -2/5? -2/5 Is -2/9 >= -1848.28038? True Is 136877/5195 smaller than 27? True Which is greater: -13527307 or -148800363/11? -148800363/11 Is -1041008/453 <= -2299? False Which is smaller: 204307 or -79? -79 Is 20302060 < 20302058? False Which is smaller: 2364216 or 11821084/5? 2364216 Is 2/13163 greater than or equal to -0.263? True Which is greater: 1577 or 12530? 12530 Which is greater: -1 or -20/2020911? -20/2020911 Is 1 > -1.03040576? True Is -76 != 2245/147? True Which is smaller: 1/2238 or 8583? 1/2238 Which is smaller: 19/7533504 or -1? -1 Is -242361/1123 equal to -215? False Are -5 and -35666/8389 nonequal? True Is 318/3215 at most 45? True Which is smaller: -188394 or 5.31? -188394 Which is greater: -64483544 or -64483543? -64483543 Is -1 at least as big as 1/878969300? False Is 100722/17 bigger than -16? True Which is greater: 5/4637083 or -1? 5/4637083 Which is smaller: -488967/56 or -8731? -488967/56 Which is smaller: 141889 or 141911? 141889 Is 4/441 greater than or equal to -61.3? True Is -359588/1139 >= -317? True Which is smaller: -2 or -4689/2306? -4689/2306 Is -1025898/503 <= -2/3? True Which is greater: -10926 or -36502? -10926 Which is smaller: 2.37 or 98502? 2.37 Is 2401 greater than 12309? False Which is smaller: -2197/45108 or 0? -2197/45108 Which is greater: -199 or -526091? -199 Which is greater: 0 or -35/514456? 0 Which is bigger: 18260142 or 18260229? 18260229 Which is greater: 244/950553 or 1? 1 Is -19018251 > -
{ "pile_set_name": "DM Mathematics" }
+ b**2 + 5*b. b**2 + 150*b + 17 Collect the terms in -5 - 6*s + 8*s + 5 + 3*s + 0*s. 5*s Collect the terms in -83*i**3 + 30*i**3 + 43*i**3 + 2. -10*i**3 + 2 Collect the terms in -1103*h**2 - 1114*h**2 - 1101*h**2 + 2 - 2 + 3339*h**2. 21*h**2 Collect the terms in 81*z + 481*z + 15*z. 577*z Collect the terms in 4926 - 4926 - 6*r**3. -6*r**3 Collect the terms in 6*f + 61*f**3 - 3*f**2 + f**2 + 15*f**3 + 7*f. 76*f**3 - 2*f**2 + 13*f Collect the terms in -19 + 19 + 98*p - 3*p**2 + 16*p. -3*p**2 + 114*p Collect the terms in 0 + 38*r - 3 - 39*r + 3. -r Collect the terms in -62477759300*y**2 - 4*y**3 + 62477759300*y**2. -4*y**3 Collect the terms in -16*s - 59899 + 59899 + 5*s. -11*s Collect the terms in 5 - 5 + 3152*y**3. 3152*y**3 Collect the terms in -7*b - 17*b + 35*b + 56*b. 67*b Collect the terms in -y**3 - 12 + 22 - 19 - 23. -y**3 - 32 Collect the terms in -169*q**2 - 129*q + 78*q + 51*q. -169*q**2 Collect the terms in 3666*o**2 - 27904*o**2 - 19804*o**2. -44042*o**2 Collect the terms in -28 + 2*l + 52 - 40. 2*l - 16 Collect the terms in c**3 + 13*c**2 - 35*c**3 - 36*c**3. -70*c**3 + 13*c**2 Collect the terms in 142*a**3 + 20*a**3 - 66*a**3 - 77*a**3. 19*a**3 Collect the terms in -3083*t**3 + 1539*t**3 + 1539*t**3 - 856*t. -5*t**3 - 856*t Collect the terms in 1 + d + 1 + 0. d + 2 Collect the terms in 36*i - 66*i + 30*i + 276*i**3. 276*i**3 Collect the terms in 198*u**2 + 166*u**2 + 163*u**2 - 850*u**2 + 161*u**2 + 164*u**2. 2*u**2 Collect the terms in -25866*f**2 + 51677*f**2 - 25811*f**2 - 4*f**3. -4*f**3 Collect the terms in -26709 + 53416 + 78*g**2 - 45*g**2 - 26707. 33*g**2 Collect the terms in 10 + 5*t - 8 + 11*t + 27*t. 43*t + 2 Collect the terms in 278*f - 278*f - 19007*f**3. -19007*f**3 Collect the terms in -4*a - 1184*a**2 + 598 + 4*a + 1182*a**2 - 443. -2*a**2 + 155 Collect the terms in 2*b**3 + 2*b**2 + 16*b**3 - 3*b**2 - 13*b**2. 18*b**3 - 14*b**2 Collect the terms in 1538084 - 1538084 - d**2 + d**2 + 2*d**2. 2*d**2 Collect the terms in 10*b - 15*b + 5*b + 75*b**3 - 72*b**3. 3*b**3 Collect the terms in -1 + 1 - 2813*j**2 + 5622*j**2 - 2812*j**2. -3*j**2 Collect the terms in -38*g + 38*g - 55885 - 7*g**2 + 0*g**2 + 55885. -7*g**2 Collect the terms in -3 - 492*m + 152*m - 644*m. -984*m - 3 Collect the terms in 1426*g**2 - 2*g + 44*g**2 + 289*g**2. 1759*g**2 - 2*g Collect the terms in -5239*d - 5240*d + d**3 + 3*d**3 - 3*d**3 + 10477*d. d**3 - 2*d Collect the terms in -d**2 + 11185289 - 11185289. -d**2 Collect the terms in -3595 + 4*c + 7187 - 3592. 4*c Collect the terms in p + 1308 - 1308. p Collect the terms in 11781*u**3 - 103*u**2 + 103*u**2. 11781*u**3 Collect the terms in -1970*h + 3904*h - 1934*h - 552*h**2. -552*h**2 Collect the terms in 3244*h**3 + 3246*h**3 - 9734*h**3 - 5*h + 3242*h**3 + 5*h. -2*h**3 Collect the terms in 25882*h + 20*h**2 - 25882*h. 20*h**2 Collect the terms in -122*a**3 - 131*a**3 + 500*a**3 - 139*a**3 - 138*a**3. -30*a**3 Collect the terms in 14*k + 39*k - 11*k + 70*k. 112*k Collect the terms in -1994*u - u**2 - 124*u**3 + 1994*u + u**2. -124*u**3 Collect the terms in 534*h + 267*h - 12*h**2 + 11*h**2. -h**2 + 801*h Collect the terms in 67*u + 415*u - 459*u + 1 - 1. 23*u Collect the terms in 2 - 5*m + 8 + 2*m - 2 + 0*m. -3*m + 8 Collect the terms in -9*q - 5 - 23 - 26 - 21 + 75. -9*q Collect the terms in 8091*q**3 + 8136*q**3 - 16234*q**3. -7*q**3 Collect the terms in -333 - 4*p**3 + 2*p**3 + 243 + 90. -2*p**3 Collect the terms in 2*k**2 + 30983 - 2*k**2 + k**3 - 30983 - 3*k**3. -2*k**3 Collect the terms in -9*m**2 + 9*m**2 + 14 - 20 + 107*m**3. 107*m**3 - 6 Collect the terms in -508*m**2 + 5*m**2 - 6711*m**2. -7214*m**2 Collect the terms in 73*x - 22*x - 16*x - 26*x. 9*x Collect the terms in 4157*j**3 - 2425*j**3 - 2673*j**3. -941*j**3 Collect the terms in 12*a**2 + 13*a**2 + 15*a**2 - 21*a**2. 19*a**2 Collect the terms in 505*b + 5 - 5 + 500*b. 1005*b Collect the terms in 91 + 4*j - 17*j + 8*j. -5*j + 91 Collect the terms in -59*o**3 - 59*o**3 + 106*o**3 + 18*o**3. 6*o**3 Collect the terms in -33*w**3 - 3*w**3 - 119*w**3. -155*w**3 Collect the terms in -162 + 285 - 123 - 18*w. -18*w Collect the terms in 3*q + 93658*q**2 - 3*q - 102722*q**2. -9064*q**2 Collect the terms in 4*z + 164*z**3 - 340*z**3 + 210*z**3. 34*z**3 + 4*z Collect the terms in 70*p - 64867 + 64867. 70*p Collect the terms in 380 - 380 + 1270*k**3 + 1014*k**3. 2284*k**3 Collect the terms in 26 + 29 - 2116*y - 50. -2116*y + 5 Collect the terms in -1319*j**2 + 2008*j**2 - 689*j**2 - j**3. -j**3 Collect the terms in 412265*w**2 - 824544*w**2 + 412277*w**2. -2*w**2 Collect the terms in -131*r**2 - 35*r**2 + 59*r**2 + 13*r**2 - 120*r**2. -214*r**2 Collect the terms in -t - 9*t + 55*t**2 - 53*t**2. 2*t**2 - 10*t Collect the terms in -2*g - 838*g**2 + 4*g - 2*g. -838*g**2 Collect the terms in -163 - 7448*l**2 + 163. -7448*l**2 Collect the terms in -297*c**3 - 2*c**2 + 564*c**3 + 2*c**2 - 263*c**3. 4*c**3 Collect the terms in 9 + 74*x**2 - 7 - 17. 74*x**2 - 15 Collect the terms in -2*y**2 + 925827*y - 925827*y. -2*y**2 Collect the terms in 167*h + 173*h - 340*h + 3*h**3 - 15*h**3. -12*h**3 Collect the terms in -2561*j + 5 + 3 + 2600*j. 39*j + 8 Collect the terms in -626*w + 118*w + 214*w. -294*w Collect the terms in -72*j**2 - j - 89*j**2 + j + 24*j**2. -137*j**2 Collect the terms in 1668334*r - 3336667*r + 1668290*r. -43*r Collect the terms in 1080*o**3 + 70*o**3 + 1367*o**3. 2517*o**3 Collect the terms in -46*y - 25 + 134*y + 25. 88*y Collect the terms in 53*l + 187*l + 102*l - 2*l. 340*l Collect the terms in 691959758 - 691959758 - 2*g. -2*g Collect the terms in 98*g + 30*g - 5*g. 123*g Collect the terms in -330*b**2 + 1796*b**2 + 33*b**2 + 427*b**2. 1926*b**2 Collect the terms in -17143 + 2*j + 27180 + 79707. 2*j + 89744 Collect the terms in 7289 - 14599 + 7310 + 3*k**2. 3*k**2 Collect the terms in -98*o + 29*o - 64 + 64 - 87*o. -156*o Collect the terms in -6 - 42 + c - 10. c - 58 Collect the terms in 263*g + 575*g + 72*g. 910*g Collect the terms in 6701*t**2 + 8344*t**2 + 4179*t**2. 19224*t**2 Collect the terms in 8*t**2 + 0*t**2 - 80*t**2 + 14*t**2. -58*t**2 Collect the terms in -43 - 38 - 7076*t + 81. -7076*t Collect the terms in 348*c**2 + 311*c**2 + 139*c**2 - 502*c**2. 296*c**2 Collect the terms in 11 + 6 - 21 - 21 - 48 - s**2. -s**2 - 73 Collect the terms in -155*d**2 + 726*d**2 - 572*d**2. -d**2 Collect the terms in 2864*w**3 + 2846*w**3 + 2865*w**3 - 8571*w**3. 4*w**3 Collect the terms in 9*o**2 + 50*o**2 + 3 + 18*o**2 - 15*o**2. 62*o**2 + 3 Collect the terms in q**2 + 539586 - q**2 - 539586 + 21*q**3. 21*q**3 Collect the terms in -129*n**2 + 226*n**2 - 134*n**2. -37*n**2 Collect the terms in 1715095*s**2 - 1715095*s**2 - s**3 - 42. -s**3 - 42 Collect the terms in 156*k - 76*k + 74*k**2 - 80*k + 30*k**2. 104*k**2 Collect the terms in -535 + 98 - 444 - 2*j + 108. -2*j - 773 Collect the terms in 19*u - 10 + 12 + 19*u - 44*u. -6*u + 2 Collect the terms in -781*f**2 + 13*f**3 + 56*f**3 + 781*f**2. 69*f**3 Collect the terms in g + g - g - 2845 + g. 2*g - 2845 Collect the terms in 64*o**3 + 34*o**3 - 18*o**3. 80*o**3 Collect the terms in 1764*u**2 + 1756*u**2 - 7037*u**2 + 1759*u**2 + 1767*u**2. 9*u**2 Collect the terms in -343*c - 349*c - 114 + 1034*c + 114 - 343*c. -c Collect the terms in -2786*a + 33*a**2 + 2786*a - 370*a**2. -337*a**2 Collect the terms in -2552 + 5155 + 5*w + 29612 - 3*w. 2*w + 32215 Collect the terms in -417*w**2 + 20 + w - 128*w**2 - 20. -545*w**2 + w Collect the terms in -117*c - 51*c + 169*c. c Collect the terms in 42*z**2 + 72*z**2 - 92*z**2. 22*z**2 Collect the terms in 2*f**3 - 41178*f + 82361*f - 41183*f - 4*f**3. -2*f**3 Collect the terms in 55 - 2750*f**2 - 47 - 8. -2750*f**2 Collect the terms in -2*r**2 + 1 - 1 + 84061*r + 0*r**2 - 84061*r. -2*r**2 Collect the terms in -3*d**3 + 4*d**3 - 11*d**3 - 3*d**3 + d**3. -12*d**3 Collect the terms in -271*t - 264*t - 295*t + 803*t. -27*t Collect the terms in -752*k + 273*k + 241*k + 262*k. 24*k Collect the terms in -a + 22*a**3 + a - 7*a**3. 15*a**3 Collect the terms in 33*w**3 - 6*w**2 + w**3 - 5*w**3 - 4*w**2. 29*w**3 - 10*w**2 Collect the terms in 17*x**2 - 93*x - 31*x + x**2 + 124*x. 18*x**2 Collect the terms in -2*g - 4*g**2 - 4*g**2 + 4*g**2 + 4*g**2 - 3*g**
{ "pile_set_name": "DM Mathematics" }
ulate the lowest common multiple of 4 and l(w). 12 Let m(k) = -k**3 + 34*k**2 + 2*k - 65. Let w = 5 + -4. What is the smallest common multiple of w and m(34)? 3 Find the common denominator of (-168)/(-210) - (-18)/20 and 295/20*(-4)/10. 10 Let o(r) = r**2 - 20*r - 37. Let u be o(17). Let l = -82 - u. What is the least common multiple of l and 26? 78 Find the common denominator of 1/24*756/24 and 113/30. 240 Suppose -178 = -5*n - i - 46, -4*i + 60 = 2*n. Suppose 5*w - f - 11 = -0*f, 4*w = 2*f + 10. Calculate the smallest common multiple of w and n. 26 Suppose 5*o + 25 = 3*k, o + 0*o - 5*k = -5. Calculate the common denominator of 83/15 and 10/o - (-96)/45. 15 Let h(z) = z**3 - 4*z**2 - 2*z - 11. Let a be h(5). Find the common denominator of -22/23 and a/14 + 916*2/448. 184 Let w = -382 + 390. Calculate the lowest common multiple of 20 and w. 40 Let t be 0/((6 - 3) + -1). Calculate the lowest common multiple of 0/(t + -1) - -2 and 6. 6 Let f = 57131/6 - 9545. Let j = -437199/10 - -43856. Let s = -558/5 + j. What is the common denominator of s and f? 6 Let j(u) = -u**2 + 9*u. Let d = 60 - 34. What is the least common multiple of d and j(6)? 234 What is the smallest common multiple of (-860)/(-16) + -4 + (-1)/(-4) and 130? 650 Let y be 1/1 - (2 + -1). Let k = -56486/9 - -6276. Find the common denominator of k and (-17)/6*(y - 2). 9 Suppose -6*k = -2*k + 444. Calculate the least common multiple of 9 and 6/12 + k/(-6). 171 Let r = 120 - 54. Let z(v) = v**3 + 14*v**2 - 15*v + 20. Calculate the least common multiple of z(-15) and r. 660 Find the common denominator of 5/12 and ((-10)/25)/(132/85). 132 Let g be 1/2 + 656658/(-12). Let c = g + 61451665/1123. Let k = c - -149467/6738. What is the common denominator of k and 31/8? 24 Let s be (-1)/2 + 1/2. Suppose s*v - v + 2 = 0. Suppose v*a + 1 = 5. What is the least common multiple of 8 and a? 8 Calculate the least common multiple of -1*(-5 - 1)*6/2 and 24. 72 Let w = -1256 + 12593/10. What is the common denominator of 256/37 + 14/(-14)*6 and w? 370 Let x(v) = 85*v + 10. Let k be x(11). Let i = 10382/11 - k. Calculate the common denominator of 27/5 and i. 55 Let g(r) = -4*r**3 - r**2 - r + 2. Suppose 10 = 4*p - 2*h - h, -4*p - 3*h = 2. Let m be g(p). Find the common denominator of -61/8 and (22/16)/((-6)/m). 24 Suppose 515 = z + 1631. Let y = z + 24523/22. Let k = 481 - 985/2. Calculate the common denominator of y and k. 22 Let j be (-45)/((-1776)/(-591) + -3). Let z = 150751/17 + j. Calculate the common denominator of 23/3 and z. 51 Let u(b) = 2*b + 7. Let t be u(0). Let n be 2/t + 19/7. Let j(a) = -2*a**2 + 7*a - 1. Calculate the smallest common multiple of 22 and j(n). 22 Suppose 7755 + 41620 = -5*f. Let p be -2*(f/(-12) - -3). Let h = 1634 + p. Calculate the common denominator of -91/16 and h. 48 Let y(x) = 19*x**2 - 2*x + 1. Let w be y(2). Let j be 4/(-8) - 3/(-2). What is the common denominator of 35/18 and 3 + j - w/12? 36 Let n(b) = b**2 - 21*b - 192. What is the lowest common multiple of 280 and n(-8)? 280 Let d = -13451 - -242197/18. Calculate the common denominator of d and 76/21*2/4. 126 Suppose 2*j - 4*m + 28 = 0, j = -j + 2*m - 28. Calculate the common denominator of (89/(-6))/(-1) - j/28 and -39/8. 24 Suppose -523 = -47*m + 511. What is the smallest common multiple of 33 and m? 66 Suppose 3*r = 5*b + 43, 4*b + 5 = 3*b. What is the lowest common multiple of (2*2/r)/((-12)/(-144)) and 20? 40 What is the lowest common multiple of ((-6)/(-4))/((-250)/28 + 9) and 174? 1218 Let g(k) = -3*k - 2*k + 6*k - 5. Let b be g(4). Calculate the common denominator of 65/18 and (3 - b*100)/38. 342 Find the common denominator of 25/342 and 70/14 - (2 - (-52)/18). 342 Let q be 6/8 + 4143/(-36). Let y = q - -827/6. Calculate the common denominator of y and 4/(48/(-33)) + -4. 4 Calculate the lowest common multiple of (132/(-6) + 7)/(0 + -1) and 165. 165 Let g(p) = 4*p - 13. Suppose 13*w + 32 = 5*w. Let d be 1*(w + 1) - -8. Calculate the least common multiple of 8 and g(d). 56 Suppose -16*c = -5258 + 106. What is the lowest common multiple of 20 and c? 3220 Suppose -3*i + 5*v = 2*i - 150, 0 = 5*i - 3*v - 154. Suppose -4*a + 5*k + 318 = -371, -3*k = -9. What is the common denominator of 23/20 and (i/a)/((-4)/43)? 220 Suppose 33 = -7*u + 131. Suppose -5*r + r = 5*n + 2, 2*n - 2 = -3*r. What is the smallest common multiple of r and u? 14 Let d = 62221/10236 + 4/853. Let k = 1735/1969 + 5/179. Calculate the common denominator of d and k. 132 Suppose -3 = -2*y - k, -13 = -2*y - 2*y + 5*k. Let h be -2*y/((-8)/266). Find the common denominator of 101/6 and h/6 + -3 + 2. 6 Suppose -5*i + 33 = -3*l, -i + 0*i - l + 13 = 0. Calculate the smallest common multiple of 16/(-56) + (-6)/(-9)*2430/84 and i. 171 Let k(f) = -f**2 + 26*f - 83. What is the least common multiple of 42 and k(22)? 210 Let k = 364 + -310. What is the smallest common multiple of 252 and k? 756 Let o = -2/18645 - -95717/55935. What is the common denominator of o and -62/255? 765 Let t(l) = l**3 + 3*l**3 - 2*l**3 - 3*l**3 - 5*l**2 - 5*l. What is the least common multiple of t(-4) and 4? 4 Let d = 188317/2408 + -1091/14. Calculate the common denominator of d and 29/473. 3784 Let m(y) = -12*y - 126. Calculate the lowest common multiple of 2 - ((-6)/(-3) + -19) and m(-11). 114 Suppose -1360*v + 1367*v = 21. Calculate the lowest common multiple of v and 6. 6 Let p be (-120)/18*(-6)/4. Let z be (1635/p)/((-3)/6). What is the common denominator of -38/9 and (z/(-27)*3)/(-2)? 18 Let k(c) = 42*c + 2. Let f be k(-1). Let t = f - -48. Calculate the smallest common multiple of 2 and t. 8 Let a = -15221/90104092 + -1/35516. Let v = a + -31707/27907. Find the common denominator of v and -59/16. 176 Let t(l) = -4*l**2 + 50*l - 13. What is the least common multiple of 13 and t(12)? 143 Let q be (-303)/21 + (60/28)/5. What is the common denominator of 67/33 and q/(-12)*(-4)/(-112)? 264 Let v = -61914677/406 - -152499. Find the common denominator of 45/29 and v. 406 Let f = -2 - -4. Suppose -2*t + 3*t + f = 0, 0 = s + t - 94. Suppose -8*n + 4*n + s = 0. Calculate the least common multiple of n and 2. 24 Calculate the smallest common multiple of 20 and ((-38)/(-6) - 3)*6/4. 20 Let y = 1011939/239344 - -28/2137. Let g = -45/16 + y. What is the common denominator of -59/6 and g? 42 Find the common denominator of (-47)/(-12) - (-7)/(35/(-10)) and -67/30. 60 Suppose 5*g = -f + 3212, -2*f = -5*g - 4*f + 3214. Let u = 282691/20 + -14131. What is the common denominator of u and (-16)/12 - g/396? 220 Suppose 0 = -s, -10*o + 8*o + 3*s = -320. What is the smallest common multiple of o and 256? 1280 Let s = -2151805/216 - -9962. What is the common denominator of s and 2/9? 216 Let r be 2/16 - (-2277)/88. Suppose 2*h + r = 3*x, -2*h - 38 = -2*x - 3*x. Calculate the smallest common multiple of x and 1. 6 Suppose 23*k - 18*k = -2130. Calculate the common denominator of -5/6 and 4 + 0 + -1 - k/(-92). 138 Let m = -329 + 521. What is the lowest common multiple of m and (-41676)/(-2967) + (-8)/172? 1344 Let w(d) = -d. Let x be w(-2). Suppose -x*t - 4*r = -3*t + 10, 5*r = 5. Let m = -206 + 208. What is the least common multiple of m and t? 14 Let y(g) = -g**3 - 13*g**2 + 31*g + 17. Calculate the smallest common multiple of 572 and y(-15). 572 Let x = -2112/13 + 11489/78. Let q = 39955/18 + -2219. Calculate the common denominator of q and x. 18 Let h = -94 + 103. Let q(l) = 3*l**3 + 2*l**2 - 3*l + 1. Calculate the least common multiple of h and q(2). 27 Let l = 2759/66 + -1454/33. Calculate the common denominator of 25/22 and l. 66 Let d = 1632/37 - 3347/74. Let b = 805/58424 + 1/872. Let u = 77/670 - b. Find the common denominator of u and d. 370 Let t = 3 + -12. Find the common denominator of t/15*(6 + 1) and (-3)/(-2)*((-340)/96 + 0). 80 Let t be (472/295)/((-2)/5 - 0). Suppose 9 = 4*v - 7. What is the lowest common multiple of v and (t/(-8) - 0)/(1/22)? 44 Let h = -1681 - -1684. Calculate the smallest common multiple of h and 27. 27 Suppose -8*h + 1426 + 1166 = 0. Let s = h - 1629/5. Find the common denominator of s and -6/5. 5 Let l(b) = b**3 + 13*b**2 + 24. Calculate the lowest common multiple of 112 and l(-13). 336 Suppose 14*s - 140 = 9*s. Let f = 39 - s. Calculate the smallest co
{ "pile_set_name": "DM Mathematics" }
Calculate w(z). 16 Let g(x) be the third derivative of x**6/60 - 19*x**5/20 + 29*x**4/24 + 2*x**3/3 + 2*x**2 - 2369*x. Calculate g(28). 32 Let f(h) = -37*h**3 + 52*h**2 - 57*h + 26. Let a(q) = 43*q**3 - 52*q**2 + 58*q - 31. Let m(j) = -6*a(j) - 7*f(j). Calculate m(51). 4 Let o(y) = -14*y**2 - 43*y - 1. Let v(x) = 76*x**2 + 213*x + 4. Let b(w) = -11*o(w) - 2*v(w). What is b(-23)? -20 Let j = -19231 - -19256. Let w(r) = -3*r + 59. Determine w(j). -16 Let h(k) = k**3 + 29*k**2 - 3*k - 97. Let w be h(-29). Let z(v) = v + 6. Let x be z(-8). Let a be 0/w + 2/x. Let c(y) = 6*y**2 - y. Determine c(a). 7 Suppose -5*m = -4*m. Suppose -7*k + m*k = -3*k. Suppose k = 4*o - g - g + 2, -15 = 5*g. Let d(a) = a**2 - a - 1. Determine d(o). 5 Let v(b) = -b**2 - 3*b - 5. Suppose 153 = -38*n - 37. Calculate v(n). -15 Suppose 8*u - 40 - 80 = 0. Let a be ((-66)/u - -4)*(11 + -1). Let w be 48/(-40)*(-30)/a. Let v(b) = -b - 6. Determine v(w). 3 Let b(d) = -42*d - 288. Let j(y) = 5*y**2 - y - 13. Let i be j(-1). Determine b(i). 6 Let s(d) = d**2 - 4*d - 7. Suppose 146 = 2*x - 66. Suppose 8 + x = 19*t. Determine s(t). 5 Let z(r) = r**2 + 9*r + 10. Let x be 140/40*(-12)/(-14). Suppose 0 = 2*a - 4*v - 2, -x*v - 48 = 4*a + 2*v. What is z(a)? -4 Suppose 0 = -5*w - 25, 5 = -4*k + 6*k + w. Let b(x) = -x + 9. Let i be b(6). Let o(a) = 150 + k*a**2 - 149 + 3*a - i*a. Determine o(-1). 6 Let k(g) = -5*g + 1. Let t(p) = -4*p. Let o(y) = -2*k(y) + 3*t(y). Suppose 2*s + 115 = -21*s. Calculate o(s). 8 Let r(q) be the third derivative of 7/6*q**3 + 0*q - 6*q**2 + 1/24*q**4 + 0. Let c = 0 - 0. Determine r(c). 7 Let m(b) be the first derivative of -b**2 + 3*b + 1094. Calculate m(-6). 15 Let z(g) = -g**3 - 16*g**2 + 10*g + 10. Let f(t) = -t**2 + 2*t + 1. Let j(x) = 5*f(x) - z(x). Suppose -4*v - 4*n - 32 = -0*n, -4*v - 3*n = 35. What is j(v)? -5 Let z = 19 + -16. Suppose -4*d - z = 21. Let t(y) = -y**2 - 12*y - 4. Let q(l) = -3*l**2 - 35*l - 11. Let v(i) = 3*q(i) - 8*t(i). Determine v(d). 17 Let c(a) = -2*a**3 + 53*a**2 + 83*a + 30. Let q be c(28). Let m(b) = -2*b**3 - 2*b**2 - b + 3. Calculate m(q). -23 Let l(w) = 4*w**2 - 57*w + 8. Let m(t) = -t**2 + 14*t - 2. Let o(h) = -3*l(h) - 13*m(h). Let y be (0 - -1)*33/3. Determine o(y). 2 Let k(s) = -17*s**2 + 4*s + 12. Suppose 3*i - 16 = -4*c, -2*c - 146 = -4*i - 110. Calculate k(c). -64 Let g(w) be the second derivative of 7*w**4/3 + w**3/3 + w**2/2 - 84318*w. Let j(l) = -l**2 - 5*l - 1. Let c be j(-5). Determine g(c). 27 Let y(q) = 5*q**2 + 21*q + 6. Let l be y(-4). Let d(f) = 7*f + 0 + 12*f**l - 27*f**2 - 7 + 14*f**2. Calculate d(5). 3 Let s(n) be the third derivative of -n**8/2240 + n**6/720 - n**5/10 - 16*n**2. Let w(b) be the third derivative of s(b). Suppose 2*z = -1 + 3. What is w(z)? -8 Let h(l) = l + 3. Let r(x) = x**2 + 5*x + 8. Let o be r(-3). Suppose 2*v + o*k + 20 = 0, -2*v + 0*k = k + 17. What is h(v)? -4 Let r(m) = -m**3 + 2*m**2 - 2*m. Let t(p) = 7*p**3 - 2*p**2 + 22*p + 11. Let u(b) = -6*r(b) - t(b). Give u(-9). -2 Suppose -16*l + 23 + 41 = 0. Let y be (21/(-6))/(((-16)/(-8))/l). Let b(h) = h**2 + 7*h - 5. Give b(y). -5 Let l be ((-44)/18 - -2)/((-830)/(-7470)). Let i(o) = -2*o**2 - 3*o + 27. Calculate i(l). 7 Let z(c) = c**2 + 12*c - 2. Suppose -2*g = 2*h + 315 + 117, 2*g = 2*h - 432. Let r = -223 - g. What is z(r)? -37 Suppose 18*f + 40 = -12*f + 10*f. Let s(a) = 14*a**2 + 3*a + 2. What is s(f)? 52 Let d(l) = -3*l - 56. Let y be d(-21). Let q(x) = -7*x**2 + 2*x + 3. Let i(v) = -8*v**2 + v + 3. Let s(p) = y*q(p) - 6*i(p). Calculate s(5). 18 Let x(h) = 2*h + 35. Let f be x(-15). Let a(p) be the third derivative of -p**5/60 + p**4/12 + p**3/2 - 48*p**2. What is a(f)? -12 Let k(a) = -a**2 - 7*a - 16. Let b(n) = -10*n**2 + 268*n + 332. Let v be b(28). Calculate k(v). -4 Suppose q + q + 748 = 4*g, 4*q = -5*g + 948. Let l = g + -182. Let y(f) = f - 6. Give y(l). 0 Let f(d) = 144*d + 1866. Let n(h) = 11*h + 149. Let s(y) = 2*f(y) - 27*n(y). What is s(-33)? 6 Let m(s) be the first derivative of -s**3/3 - s**2 + 2*s - 552. Suppose -4*c + 10 = c. Suppose 4*x = -c - 14. Calculate m(x). -6 Suppose 4 = m - 1, -4*m = 2*z - 64. Suppose 3*x = 5 + z. Suppose x*t + 18 = 6*t. Let b(o) = o**3 + 5*o**2 - 7*o + 4. Calculate b(t). 10 Let r(y) = -83*y + 0*y**2 - y**2 + 14 + 0*y**2 + 35*y + 45*y. Give r(0). 14 Let f(p) = 54*p + 19. Let q(b) = 58*b + 19. Let w(z) = 6*f(z) - 5*q(z). Let t(o) = -6*o. Let v(l) = 5*t(l) + w(l). What is v(-6)? -5 Let w(l) = -l**2 - 11*l + 17. Let g be (-225)/(-15)*(-3)/(-15). Suppose -g*k - 17 = 25. Calculate w(k). -25 Let t(k) = k**2 + 9*k - 6. Let h = 8501 + -8507. Calculate t(h). -24 Suppose 0 = 645*n - 639*n - 588. Suppose n*l - 83*l + 90 = 0. Let p(i) = 2*i + 1. Give p(l). -11 Let m(z) = 7*z**2 + 21*z + 5. Let p be m(-3). Suppose -w + 0*w + n + 2 = 0, -p*n + 6 = 3*w. Let x(t) = 3*t**3 - 2*t**2 + 2*t - 1. Give x(w). 19 Let h(j) = -5*j - 3. Suppose 19*y = -6 + 120. Determine h(y). -33 Let h(g) = -3149*g - 3147*g + 237 + 9441*g - 3162*g. Calculate h(14). -1 Let q(c) = 26*c + 74. Let f(l) = -l**3 - 15*l**2 + 77*l + 16. Let s be f(-19). What is q(s)? -4 Let q(w) = w**2 - 10*w - 21. Let r be q(12). Let j(m) = -4*m**3 + 3*m - 72*m**2 - 5 + 5*m**3 + 0*m**r + 66*m**2. What is j(4)? -25 Suppose -2*m + 13 = 5*l, 31 = 7*m - 3*m + 5*l. Suppose -m = -2*w - 29. Let p(b) = b + 12. Give p(w). 2 Let g(w) = w**3 + 3*w**2 + 2*w + 2. Suppose 2*d = -8*d + 20. Suppose 2*p + l + 1 = p, -3*l = -d*p - 12. Give g(p). -4 Let l(a) = -a**2 + 13*a - 10. Let p(c) = -c**3 - 49*c**2 + 152*c - 200. Let u be p(-52). Determine l(u). 30 Let i(a) = a**2 - 6*a - 27. Let h be (90/25)/(((-48)/(-10))/12). Give i(h). 0 Let y(l) = -l**2 - 7. Let s = -4946 - -4953. Determine y(s). -56 Let k(c) = -9*c**2 - 5 - 7*c + 12*c - 3 + c**3. Calculate k(7). -71 Suppose -3*n + 88 = 82. Suppose -2*m - 2*a = 2, 4*a + 22 = n*m - 0*m. Let f(k) = -20 - m*k + 50 - 15 + 2*k**3 - 14. Calculate f(2). 11 Let j(m) = 2*m + 6. Suppose 2*p = -5*x + p - 16, -4*p = -5*x - 36. Let k(y) = 20*y + 75. Let h be k(x). Calculate j(h). -4 Let r be 4/(-1) + 60/(-4). Let t(c) be the second derivative of -c**5/20 - 19*c**4/12 + c**2 + 2*c - 211. Determine t(r). 2 Let b be (79 - -5) + 3 + -2 + 1. Let l(r) = r - 148 + 75 + b. Give l(-6). 7 Let k(s) = -473*s - 478*s - 27 - 479*s + 1908*s - 479*s. Give k(-17). -10 Suppose 0 = 5*x + 24*c - 28*c - 132, -20 = x + 5*c. Let k(s) be the third derivative of 1/2*s**4 + 0 + x*s**2 + 1/60*s**5 + 0*s + 5/3*s**3. Determine k(-8). -22 Let p(a) = -a**3 + 9*a**2 - 62*a + 54. Let r(s) = -5*s**3 + 37*s**2 - 247*s + 235. Let y(i) = -9*p(i) + 2*r(i). Determine y(5). 4 Let f(s) = 8*s**2 + 2*s. Suppose 0 = -18*h + 56*h + 38. What is f(h)? 6 Suppose 14*k = -3*m + 12*k - 20, -4*m - 12 = -k. Suppose 1 = 2*f - 5. Let x(j) = -2*j**3 + f*j - j**3 + 5*j**2 + 4*j**3. Give x(m). 4 Let z(k) be the second derivative of -8*k + 1 - 3/2*k**3 + 1/2*k**2. Calculate z(-1). 10 Let w(b) be the first derivative of 54*b**2 + 4*b - 9903. Calculate w(-1). -104 Let f(d) = d**3 + 8*d**2 + 14*d + 9. Let v be f(-6). Let t be (-3)/2*1*16/v. Let c(l) = -l - 3 + 2*l + 0. What is c(t)? 5 Let i(r) = r**3 - 7*r**2 + r + 20. Let c = 8268 + -8261. Calculate i(c). 27 Let c(k) = k**2 + 9*k - 10. Let i be (((-63)/6)/(-1))/((-1)/10). Let m = i - -105. Suppose 3*y - 3*t + 36 = m, 4*t - 10 = -t. Determine c(y). 0 Let h be 42/(-231) + 18/(-22). Let r be (2 - h) + (-1 - 0). Let i(a) be the first derivative of -2*a**3/3 + 2*a**2 - 3*a + 1. What is i(r)? -3 Let j(z) be the first derivative of z**3/6 - 3*z**2/2 + 86*z + 39. Let x(d) be the first derivative of j(d). Calculate x(3). 0 Let x(l) = l**2 - 19*l + 89. Let y(h) = -30*h**2 + 308*h - 69. Let p be y(10). Calculate x(p). 1 Let l = 73 + -38. Let o be -4 - 5/(25/(-30)). Let f(z) = -l*z**2 + 3 + 36*z**o + z - 2. What is f(-1)? 1 Let j(w) be the third derivative of w**5/12 + 5*w**4/12 - 3*w**3/2 + w**2 + 67*w. Let v(k) = 4*k**2 + 9*k - 8. Let r(i) = -5*j(i) + 6*v(i). Determine r(2). 1 Let s(f) be the first derivative of 3*f**5/40 + 50*f**3/3 - 19. Let h(v) be the third derivative of s(v). Give h(-1). -9 Let w(p) = -p. Suppose 13 = f + b, -24 = -3*f - 5*b + 15. Let i be (f/(-13))/(1/2). Let t = i - 3. What is w(t)? 5 Suppose -11 - 1 = -4*k - 5*i, 2*i - 2 = -3*k.
{ "pile_set_name": "DM Mathematics" }
1919677 How many millilitres are there in thirty-two fifths of a litre? 6400 What is 268645.923 milliseconds in weeks? 0.0004441896875 How many nanograms are there in twenty-one halves of a microgram? 10500 Convert 34.02996 tonnes to nanograms. 34029960000000000 How many centuries are there in 41.20787 years? 0.4120787 Convert 45.14389 years to millennia. 0.04514389 What is 5.80898 litres in millilitres? 5808.98 How many nanograms are there in 27/2 of a microgram? 13500 What is 30.8099 millennia in months? 369718.8 How many decades are there in 0.874925 centuries? 8.74925 What is one twentieth of a kilogram in grams? 50 What is 0.8808606mm in nanometers? 880860.6 How many nanometers are there in 45/2 of a micrometer? 22500 How many milliseconds are there in five quarters of a minute? 75000 What is 6/5 of a second in milliseconds? 1200 How many minutes are there in thirteen twelths of a hour? 65 How many millimeters are there in thirty-seven halves of a centimeter? 185 What is 0.5469421l in millilitres? 546.9421 What is thirty-seven fifths of a gram in milligrams? 7400 Convert 0.0500845 millennia to years. 50.0845 What is 796696.1l in millilitres? 796696100 What is 0.7727854km in millimeters? 772785.4 What is 1/4 of a litre in millilitres? 250 What is seven thirds of a week in minutes? 23520 What is 8.172416l in millilitres? 8172.416 How many seconds are there in 43/2 of a hour? 77400 What is 9/10 of a centimeter in micrometers? 9000 Convert 899.14 hours to microseconds. 3236904000000 What is 0.3200395 centuries in millennia? 0.03200395 Convert 756953.7 centimeters to micrometers. 7569537000 How many months are there in 165300.2 years? 1983602.4 What is 3/5 of a litre in millilitres? 600 Convert 690310.8 centuries to months. 828372960 How many micrometers are there in twenty-one fifths of a centimeter? 42000 How many micrograms are there in one sixteenth of a gram? 62500 What is 211.3031 decades in years? 2113.031 How many months are there in 38.25725 millennia? 459087 What is 803983.6 millilitres in litres? 803.9836 How many millilitres are there in twenty-six fifths of a litre? 5200 How many grams are there in 7.046311 kilograms? 7046.311 What is 831.7753 millilitres in litres? 0.8317753 What is twenty-one eighths of a litre in millilitres? 2625 What is 1/80 of a gram in micrograms? 12500 How many kilograms are there in 3/40 of a tonne? 75 How many millennia are there in 895316.3 years? 895.3163 Convert 611735.9ns to seconds. 0.0006117359 Convert 17.51037ms to nanoseconds. 17510370 Convert 0.8563851ug to kilograms. 0.0000000008563851 What is one fifth of a litre in millilitres? 200 How many millilitres are there in 643687.5 litres? 643687500 How many millilitres are there in six fifths of a litre? 1200 What is six fifths of a kilometer in meters? 1200 How many centimeters are there in 3/32 of a kilometer? 9375 How many millilitres are there in three eighths of a litre? 375 What is 81.94792ng in tonnes? 0.00000000000008194792 How many micrometers are there in 51/4 of a millimeter? 12750 How many nanograms are there in thirty-four fifths of a microgram? 6800 How many millilitres are there in 3/25 of a litre? 120 What is 74/5 of a litre in millilitres? 14800 Convert 4092.054 litres to millilitres. 4092054 What is three tenths of a millennium in years? 300 What is twenty-nine fifths of a millimeter in micrometers? 5800 Convert 8.020739 grams to tonnes. 0.000008020739 What is seventeen quarters of a litre in millilitres? 4250 How many micrometers are there in eleven eighths of a centimeter? 13750 What is 3/5 of a century in months? 720 Convert 584.116 litres to millilitres. 584116 What is 1/24 of a day in seconds? 3600 How many seconds are there in 975.1856 nanoseconds? 0.0000009751856 How many micrometers are there in 9.214629km? 9214629000 What is three eighths of a litre in millilitres? 375 Convert 744.4102l to millilitres. 744410.2 How many years are there in twenty-five halves of a millennium? 12500 How many millilitres are there in 59/5 of a litre? 11800 How many decades are there in one quarter of a millennium? 25 How many millilitres are there in 1/5 of a litre? 200 Convert 94.64927g to nanograms. 94649270000 What is 6/5 of a millennium in decades? 120 What is 696.9986l in millilitres? 696998.6 How many nanograms are there in eleven eighths of a microgram? 1375 What is 47004.3 weeks in hours? 7896722.4 How many millilitres are there in nineteen quarters of a litre? 4750 How many millimeters are there in eighteen fifths of a centimeter? 36 What is fifty-two fifths of a millennium in centuries? 104 Convert 32115.56 micrometers to kilometers. 0.00003211556 What is twenty-six fifths of a millennium in decades? 520 How many nanoseconds are there in one quarter of a microsecond? 250 What is 39827.51 weeks in nanoseconds? 24087678048000000000 Convert 780.6215g to milligrams. 780621.5 How many micrometers are there in twenty-one fifths of a centimeter? 42000 How many seconds are there in sixteen ninths of a hour? 6400 How many millilitres are there in 19/10 of a litre? 1900 How many millilitres are there in 0.575979l? 575.979 How many hours are there in 2/7 of a week? 48 How many hours are there in 1/4 of a week? 42 What is 1/16 of a kilometer in centimeters? 6250 How many kilograms are there in 6/25 of a tonne? 240 What is sixteen sevenths of a week in minutes? 23040 Convert 0.719438 decades to centuries. 0.0719438 How many kilograms are there in 7106.599 milligrams? 0.007106599 Convert 499.6503s to hours. 0.13879175 Convert 3.776642 litres to millilitres. 3776.642 How many minutes are there in 248045.16 microseconds? 0.004134086 What is 257.4864 centuries in months? 308983.68 Convert 26704.869ms to minutes. 0.44508115 Convert 1826702.01 milliseconds to weeks. 0.003020340625 What is twenty-nine halves of a millennium in centuries? 145 How many microseconds are there in 6.061894 hours? 21822818400 How many millimeters are there in 1/80 of a kilometer? 12500 How many micrometers are there in 0.666564 millimeters? 666.564 Convert 8.593927 meters to nanometers. 8593927000 What is seventy-two sevenths of a week in days? 72 What is 97.9101l in millilitres? 97910.1 What is twenty-six fifths of a centimeter in millimeters? 52 What is one sixteenth of a meter in micrometers? 62500 How many micrometers are there in 3284.033 millimeters? 3284033 Convert 1.751177 nanometers to centimeters. 0.0000001751177 How many nanograms are there in 29/5 of a microgram? 5800 How many micrograms are there in fifteen quarters of a milligram? 3750 What is 436548.4l in millilitres? 436548400 Convert 5.527389l to millilitres. 5527.389 How many millennia are there in 40166.98 years? 40.16698 How many litres are there in 8.116231ml? 0.008116231 What is 56182.09 grams in milligrams? 56182090 What is 6129.101 micrometers in millimeters? 6.129101 How many nanograms are there in 9.135441 micrograms? 9135.441 How many micrometers are there in 7/4 of a millimeter? 1750 What is 71/5 of a century in decades? 142 What is 3/32 of a meter in micrometers? 93750 How many micrometers are there in 5/8 of a millimeter? 625 How many minutes are there in fourteeen ninths of a week? 15680 What is 6588.021ug in tonnes? 0.000000006588021 How many litres are there in 700048.6ml? 700.0486 How many centimeters are there in one tenth of a meter? 10 How many nanometers are there in 88.97794um? 88977.94 What is six fifths of a tonne in kilograms? 1200 Convert 0.4885495 years to months. 5.862594 Convert 0.1384351 millimeters to meters. 0.0001384351 What is 94293.28 kilometers in millimeters? 94293280000 Convert 516822.9 months to decades. 4306.8575 How many decades are there in 991454.5 centuries? 9914545 What is twenty-nine sixths of a week in minutes? 48720 Convert 0.2369614 hours to seconds. 853.06104 How many millilitres are there in 2.861589l? 2861.589 What is 0.777899 centimeters in meters? 0.00777899 What is one tenth of a litre in millilitres? 100 What is five sixths of a day in minutes? 1200 How many millilitres are there in five eighths of a litre? 625 What is 18/5 of a meter in centimeters? 360 What is 17/4 of a week in hours? 714 How many micrograms are there in 4715.986 milligrams? 47159
{ "pile_set_name": "DM Mathematics" }
3/(-6))? False Suppose 3*c + 28 = 208. Is c a multiple of 5? True Let p = -2 + 5. Suppose 0 = c - 3*f + 4, -c + p*f + 29 = 3*c. Is 10 a factor of c? False Suppose r - 220 = -4*r + 2*u, -204 = -4*r - 4*u. Does 23 divide r? True Let c(p) = -p**2 + 15*p + 9. Does 11 divide c(13)? False Let w(j) = j**3 + 3*j**2 - j + 4. Let p be w(-5). Let n = p - -71. Is n a multiple of 15? True Let q = -32 - -48. Is 6 a factor of q? False Let l = -4 + 6. Suppose 5*m = -d + 4, d - 4*m = l*d - 5. Does 4 divide d + (-2)/1 + -1? False Let o(a) = -a**3 - 7*a**2 + 8*a + 8. Is o(-8) a multiple of 3? False Let h = 28 + 147. Suppose 4*a + 3*k = k + 358, 2*a + 5*k = h. Is 28 a factor of a? False Suppose 4*j = o - 49, 3*j + 13 = -0*j - 4*o. Let f be j/(-3) + (-3)/(-9). Suppose f*v - 2*h = 24, -31 = -3*v - 2*v + 3*h. Does 5 divide v? True Suppose d = 2*d - 12. Does 7 divide 15*(d/(-4) + 4)? False Suppose 236 = -k + 5*k. Is k a multiple of 15? False Suppose 0 = o - 3. Let p = o - -2. Let b = p - 2. Is 3 a factor of b? True Suppose -q + 123 = -40. Is 33 a factor of q? False Let r(m) = -m**2 + 12*m + 13. Let q be r(13). Let p = -11 - -7. Let l = q - p. Is l a multiple of 2? True Let t be 0/(0 + -1 + 2). Suppose t*x = 3*x - 6. Suppose 0 = x*u - 44 + 4. Is u a multiple of 10? True Let r = 1 + 3. Is r a multiple of 4? True Let j(l) = l**3 - 12*l**2 - 12*l - 10. Does 3 divide j(13)? True Let w = 2 - -1. Suppose -s - 195 = -w*g, 5*g - 2*s + 3*s - 317 = 0. Does 10 divide (-6 + 3)*g/(-6)? False Let d be 2/6 + (-20)/(-12). Suppose -2*r = -3*n + 1, 0 = d*n + 4 + 2. Let m = -3 - r. Is m a multiple of 2? True Let h = -9 + 14. Suppose 0 = 5*c - h*m - 190 - 70, 4*m = -c + 62. Does 22 divide c? False Let d = -40 - -89. Is d a multiple of 15? False Suppose -m + 86 = -171. Is m a multiple of 13? False Let a(y) = y**3 + 4*y**2 - 2*y - 3. Let o be a(-4). Suppose 3*q + o*z = q + 45, -5*q - 2*z = -81. Is 5 a factor of q? True Let d = -58 + 37. Let m = -13 - d. Is 6 a factor of m? False Let z = 119 - 172. Let n(k) = -k**2 + 7. Let h be n(-5). Does 4 divide (-3)/h + z/(-6)? False Let d(y) = -2*y - 12. Let f be d(0). Is 30 a factor of (-2)/f + 419/6? False Let z be (-15)/(-10) + (-10)/4. Let t be (3 + 0)*z/3. Is 6 a factor of (t - -3) + 6 + 4? True Let f be 4/(-14) + (-2)/(-7). Suppose 2*r = -4*o + 96, 0 = 4*o - 3*r - 2*r - 82. Suppose 3*q - o - 19 = f. Is q a multiple of 14? True Let u = 45 - 27. Does 12 divide u/4*24/9? True Suppose 2*h + 0*j + j = 85, 55 = h + 3*j. Suppose u + 4*t - h = -12, 0 = 3*t + 3. Is 16 a factor of u? True Suppose -4*s - 3*i + 111 = -s, 0 = -s + 5*i + 19. Does 12 divide s? False Let q(g) = g**3 - 11*g**2 + 10*g + 8. Let h be q(10). Let m = h + -3. Is m a multiple of 5? True Let s(w) = -6 + 3*w + 6*w + 18 + w**2. Is 4 a factor of s(-8)? True Let x(n) = 2*n + 12. Let j(c) = -6*c - 35. Let u(w) = 3*j(w) + 8*x(w). Does 2 divide u(-9)? False Let u(k) = 21*k**2 + 1. Is 8 a factor of u(1)? False Let a = 94 - 63. Does 20 divide a? False Suppose -3*p = -2*g - 29, 3*p + 19 - 44 = 4*g. Is 11 a factor of p? True Let q(v) be the second derivative of 13*v**5/10 + v**4/12 - v**3/3 + v**2/2 + 3*v. Does 13 divide q(1)? True Suppose -106 = 95*q - 97*q. Is q a multiple of 16? False Let z(l) = 4*l**2 + 8*l + 5. Let d be z(-5). Let w = d + -35. Is w a multiple of 15? True Let m(n) = 19*n**2 + 4*n + 4. Is m(-1) a multiple of 19? True Let i be (-8)/(2/(-11) + 0). Suppose 7*v = 6*v + 73. Let c = v - i. Is c a multiple of 15? False Suppose -44 = -4*o + 2*h, 3*o + 3*h - 23 - 19 = 0. Does 4 divide o? True Let t = 43 + -82. Let k = t + 56. Does 7 divide k? False Suppose 2*v + 3*d - 11 = v, 0 = -5*v - 4*d. Is (v - -5)*18 + 2 a multiple of 7? False Let c(j) = -j**2 - 10*j + 2. Is c(-6) a multiple of 13? True Let f(x) = -x**3 + 3*x**2 - 2*x - 2. Let k be f(2). Let n = k - 2. Let c = 7 + n. Does 2 divide c? False Does 26 divide 5 + 1100/8 - (-3)/6? False Let c(b) = 9*b - 8. Is c(6) a multiple of 13? False Let v = 1 - -5. Let z be (-1)/(-2)*v + 0. Suppose -2*u - 25 = -z*u. Does 9 divide u? False Is 37 a factor of 194/(4 - 2) + 2? False Suppose -3*o - g = -89, 3*g - g + 2 = 0. Is o a multiple of 6? True Suppose 0 = 2*b - 0*b - 192. Is b a multiple of 24? True Let n be (-3 - -3 - 1)*10. Is n/(-20)*(0 + 36) a multiple of 6? True Let s(l) = 2*l**2 - 9*l - 2. Let v(n) = n**2 - 6*n - 1. Let x(u) = -5*s(u) + 8*v(u). Let c be x(-3). Let h(i) = -2*i - 4. Does 7 divide h(c)? False Let o(y) = y**3 - 3*y**2. Let m be ((-3)/2)/((-5)/10). Let x be o(m). Suppose 2*c + 7*p = 2*p + 56, x = -2*c + p + 56. Is c a multiple of 14? True Let u be (1/(-2))/(2/8). Let y = 28 + u. Does 26 divide y? True Is -1*9*(-7 - -6) a multiple of 3? True Suppose -7 + 4 = -q. Suppose -5*k = -4*k + 1, q*z - 100 = -2*k. Is z a multiple of 20? False Let g be ((-4)/2)/((-2)/11). Suppose -w - 4 = 0, o - w - 2*w = g. Let f = 3 - o. Does 2 divide f? True Suppose 0*b = -2*b + 14. Is 4 a factor of b? False Suppose q = -4*q + 30. Let j = 0 + q. Suppose -j*a + 32 = -4*a. Is a a multiple of 16? True Suppose -2*y = 2*y + 20. Let r be ((-32)/(-20))/((-1)/y). Suppose 0 = -3*h + 4*h - r. Is h a multiple of 4? True Suppose -4*q + 2*h = -0*h - 118, -32 = -q - 2*h. Does 30 divide q? True Suppose 0 = 2*n - 60 - 508. Suppose -74 + n = -3*x. Let p = 101 + x. Does 15 divide p? False Let o(p) = p**3 - 8*p**2 + 7*p + 4. Let q be o(7). Suppose 5*c - 85 = -2*v, -38 = -v - 3*c + q. Is 18 a factor of v? False Suppose a + 128 = 5*r - 154, a + 170 = 3*r. Does 6 divide r? False Suppose 2*h + 67 = 255. Suppose 5*o + 2*w - 16 = h, 3*o = -w + 66. Does 12 divide o? False Let s = 53 + -27. Does 4 divide s? False Let p be (-2)/(-10) + (-1)/5. Let m be 2 + (p - 6) + 2. Does 6 divide (-13)/m + 2/(-4)? True Let v = 218 - 128. Is 18 a factor of v? True Suppose 2*c + 3*z + 2*z = 83, -3*c + 3*z = -177. Is c a multiple of 18? True Let o(g) = 2*g - 3. Let m be o(4). Suppose -3*v = 3*x + 6, 12 + 13 = -m*x. Is -8*1*(-3)/v a multiple of 4? True Suppose -2*n = -8, 3*u + 3*n - 44 = -u. Let w(c) = -6*c - 14 - 6 + u. Does 18 divide w(-8)? True Suppose 10 = -4*t - t. Let q(k) = -k**3 + k + 2. Let c be q(t). Does 23 divide -84*((-22)/c + 2)? False Suppose 0 = -6*c + 3*c - 54. Suppose -3*w + 30 = -60. Let d = c + w. Does 12 divide d? True Suppose -q = -7 + 3. Let i(b) = -b**2 + 6*b + 5. Let f be i(q). Does 10 divide (f - 5)/((-2)/(-6))? False Suppose 9 = 5*a - 31. Let s be ((-4)/a)/(1/(-6)). Suppose -f - s*i + 43 = 0, 5*f + 0*i = 5*i + 195. Is f a multiple of 20? True Let k = -11 + -15. Is 12 a factor of (-4)/2 - k - 2? False Let k(z) = -z**3 + 10*z**2 + 10*z + 4. Let j be k(11). Let r = j + 7. Suppose r*g = g - 12. Does 7 divide g? False Let m = 24 - -12. Is 17 a factor of m? False Suppose -z - 84 = 3*z. Is 8 a factor of (12/(-2))/(z/56)? True Let y = -4 + 4. Suppose y = 2*i - 24. Does 11 divide i? False Let f(w) = -w**3 + 4 - 3 - 5*w**2 + 7*w + 3 + 0. Let b be f(-6). Does 11 divide (-6)/b - 114/(-6)? True Let u(q) = -q - 8. Let b be u(6). Let l(v) = 11*v + 2. Let y be l(3). Let c = b + y. Does 7 divide c? True Let v(z) = z**3 - 5*z**2 - z + 11. Is 8 a factor of v(6)? False Let y(z) = -3*z. Is 9 a factor of y(-3)? True Let o = -4 + -12. Let v = 22 - o. Is 19 a factor of v? True Let g be (-9)/6*(-82)/3. Let y = -27 + g. Is 4 a factor of y? False Suppose 112 = -11*g + 12*g. Does 28 divide g? True Suppose -4*o + 114 = 3*q - 2*o, -o + 152 = 4*q. Is 19 a factor of q? True Suppose x + 44 = -3*x. Let s = -6 - x. Is 2 a factor of s? False Suppose 2*w + 5*l + 5 = -0*l, 0 = -3*l - 9. Suppose w*p = 6*p - 72. Does 18 divide p? True Let v(l) = l**3 - 9*l**2 - 10*l + 2. Let y be v(10). Suppose 0*m - 8 = -y*m. Suppose -40 = -0*u - m*u. Is u a multiple of 5? True Let p = 25 - -3. Does 5 divide p? False Let f(x) be the first derivative of x**4/4 + 5*x**3/3 - x**2/2 - 4. Is 11 a factor of f(-4)? False Let r(a) = -a + 3. Let y be r(3). Suppose -2*j + 0*j + 44 = y. Suppose -h - h = -j. Is 11 a factor of h? True Suppose -5*h + 376 + 104 = 0. Does 8 divide h? True Let q(r) = 6*r + 7. Let g be q(-10). Let l = -31 - g. Does 22 divide l? True Suppose 0 = y - 2*v - 64, -3*v = -0*y - 5*y + 355. Does 17 divide y? False Let z(l) = 3*l**2 + 1. Let k be z(1). Suppose 2*y = -2*p + 28, k*y - p - 61 - 5 = 0. Is y a multiple o
{ "pile_set_name": "DM Mathematics" }
38 + (-6*x - 2*x + 4*x)*((2*x - x - 2*x)*(-4*x**2 + x**2 + x**2) + 2*x**3 + 0*x**2 + 0*x**2). 20*x**4 Expand ((2*w + 2*w - 2*w)*(0 + 3 - 2) + 15*w - w + 29*w)*(2*w - 1 + 1). 90*w**2 Expand (-5*c + c + 2*c)*(1 - 3*c - 1)*(-3 + 1 + 4 + (1 - 3 + 1)*(2 + 1 - 5) + 0 - 1 + 3). 36*c**2 Expand (-3*w**2 - 17*w**2 + 4*w**2)*(1 - 1 - 3)*(9 - 10 + 8 - 2 - 2 + 2 + (1 - 1 + 1)*(-2 - 1 + 1) - 2 + 2 + 1)*(3*w + 1 - 1). 576*w**3 Expand 2*m + 7 + m + 41*m**4 - 6 + (-5*m + 0*m + 3*m)*(-4*m**3 + 2*m**3 + 0*m**3). 45*m**4 + 3*m + 1 Expand (7*s**2 + 10*s - 10*s)*((-3 - 1 + 6)*(2 + 0 + 0) + 0 + 7 + 4). 105*s**2 Expand (7424 - 172*p**5 - 7424)*(-2 - 1 + 5 - 1 - 1 + 0 + (3 - 3 + 2)*(0 + 2 - 3) + 1 - 1 - 1) + 2*p - 2*p**5 - 3*p - p. 514*p**5 - 2*p Expand (1 - 2 + 0)*(2*r**2 + 2*r**2 - 5*r**2) - 7*r**2 - r**2 - r**2. -8*r**2 Expand ((4*m - 3*m + 0*m)*(-3 + 1 + 0) + (27 - 13 + 27)*(-1 + 1 - 2*m))*(9*m**2 + 3*m**3 - 9*m**2). -252*m**4 Expand (-2*t + t + 0*t)*(-974 - 1013 + 1121). 866*t Expand ((-6*k + 3*k + 4*k)*(7 - 15 - 11) - 3 - 2*k + 2 - 3)*(2*k - k + k). -42*k**2 - 8*k Expand (2 - 2 - 2*p**3)*(-4499 + 4499 + 588*p**2) - 3*p**5 - 2*p**5 + 4*p**5. -1177*p**5 Expand (14*p - 14*p - 12*p)*(-6459 + 6459 + 46*p**4 + (p**3 + 2 - 2)*(-3*p - 2*p + 3*p) - 3*p**4 - 3*p**4 + 5*p**4). -516*p**5 Expand (-31*u + 108*u - 44*u + 4)*(-1 + 6 - 4)*(0*u + 2*u + u) + 4*u**2 - 5*u**2 + 2*u**2. 100*u**2 + 12*u Expand (5*q**3 - q**3 + 2*q**3)*((1 - 1 - q)*(-2*q - 1 + 1) - 2*q + 2*q**2 + 2*q + 22 - 22 + 18*q**2). 132*q**5 Expand -2*u**3 + 3*u - 6*u**3 + 0*u + u**2 + (18 - 18 + 22*u**3)*(-2 + 3 - 4). -74*u**3 + u**2 + 3*u Expand (-641*g - 684*g + 1199*g)*(-1 + 3*g + 1). -378*g**2 Expand (2*w - 1 + 1)*((-1 + 118 + 37)*(w + 3*w - 6*w) + 4 + 3*w - 4). -610*w**2 Expand h**4 - 77*h**4 - 30*h**4 + (-4*h + 4*h - 4*h**2)*(-2 - 2*h**2 + 2). -98*h**4 Expand (-z - 1157 + 1157)*(-6 - 1 + 10). -3*z Expand -2*n**3 + 2*n**3 - 4*n**3 + 0*n**3 + 3*n**3 - 4*n**3 + (-2*n**2 + 3*n**2 + n**2)*(-2*n + 3 - 3) + 2508*n - 2508*n + 34*n**3. 25*n**3 Expand ((1 + 1 + 0)*(-3*i - i + 2*i) - 22*i - 8*i - 2*i)*(i + 0 + 0). -36*i**2 Expand -3*o - 19 + 19 + ((-1 - 1 + 3)*(2 - 4 + 4) - 3 + 5 + 0 - 3 + 1 + 4 + 6 + 3 - 1)*(2 - 1 + 0)*(-43*o - 41*o - 29 + 87*o). 39*o - 406 Expand -t - t + t + 15*t - 6*t + 6*t + (-3 + 1 + 0)*(6*t + 0*t - 3*t) - t - 2*t + 2*t. 7*t Expand (-2 - d - d + 0*d)*(-13*d**2 + 61*d**2 + 16*d**2 - 1). -128*d**3 - 128*d**2 + 2*d + 2 Expand (3 + 3*j**2 - 3)*((2 - 1 + 1)*(4*j - j + 3*j) + (4 + 5 - 1)*(1 - 1 - 2*j) + 0*j + 4*j - 3*j). -9*j**3 Expand (-3 - 9 - 3)*(u - 1 + 1) + (-17 + 10 + 18)*(-4*u + u + 2*u). -26*u Expand (34 - 14 - 33 + 0 + 1 + 0 - 4 + 4 + 1 + 2 + 0 - 1 + 2 - 5 + 2 + 1 - 2 - 1 + (3 - 2 + 0)*(-4 - 1 + 4) - 3 + 1 + 0 + 0 + 0 - 2 + 0 - 2 + 3)*(5*x + x - x). -85*x Expand (-n**2 - 3*n**2 + 0*n**2)*(-n + n - 3*n)*(6 + 2 - 2). 72*n**3 Expand (9 + 10 - 13)*(-1 - h + 1)*(23 - 10 - 14). 6*h Expand (-10*b**2 + 4*b**2 - 2*b**2)*(27 + 46 + 30 + 32 - 75). -480*b**2 Expand (15 + 8 + 8)*(2*u + 0*u + 0*u)*(4*u**4 + 75*u - 75*u). 248*u**5 Expand w**2 + 4*w**2 + w**2 - 2*w**2 - 3*w**2 + 0*w**2 + 2 - 2 + w**2 + (-2 + 2 + w)*(1 - 1 + 2*w). 4*w**2 Expand (2*u**2 - 5*u**2 + 5*u**2)*(12 + 4 + 2) + 5*u**2 - 2*u**2 - u**2 - 3 - 2 - u**2 + 3. 37*u**2 - 2 Expand a**5 - 7 + 7 - 6 + 3*a**5 - 2*a**5 + 0*a**5 + (-a + 2 - 2)*(-2*a**4 + 0*a**4 + 4*a**4) + 0*a**5 + 2*a**5 + 0*a**5. 2*a**5 - 6 Expand 3*r - 5*r + r - 2 - 2*r + 2 + (2*r + 0 + 0)*(6 - 1 - 3) + 1 + r - 1 - 6 - 18*r + 10*r + 2. -6*r - 4 Expand (-z + 13 - 2*z - 14)*(z**2 + 2*z**2 - 4*z**2) + 4*z**3 - 5*z**3 + 3*z**3. 5*z**3 + z**2 Expand -22*k**2 - 4 + 6 - 2 + (2*k**2 - 3*k**2 + 2*k**2)*(-1 + 4 + 0). -19*k**2 Expand (9*d**2 + 0*d**2 - 3*d**2)*(-4 + 2 + 0 + (-4 + 2 + 4)*(2 + 1 - 4) + 5 - 1 - 3). -18*d**2 Expand (((3 - 3 + 2)*(2*w + 2*w - 6*w) + w - 3*w - w)*(1 - 1 - w**2) + 0*w**3 + 0*w**3 - 5*w**3)*(2*w**2 + 51*w - 51*w). 4*w**5 Expand (-69 - 27 - 5)*(2*c - 2*c + c)*(2*c + 0*c - c) - c**2 + c**2 + 3*c**2. -98*c**2 Expand (3*i + 2*i - i)*(2*i - 12*i - 3*i) - 5*i**2 + i**2 + 0*i**2. -56*i**2 Expand (0 - 3 + 2 + (1 + 2 - 5)*(1 + 0 - 6))*(-2*s + 2*s**3 + 2*s) + (2*s**2 - 6*s**2 - 2*s**2)*(s - 3*s + 4*s). 6*s**3 Expand -5*q**2 + 3*q**2 - 3*q**2 + 3*q**2 + 0*q**2 - 6*q**2 + (12*q - q - 3*q)*(2 - 2 - q) + (0*q**2 - q**2 + 2*q**2)*(2 - 6 + 3) - 4*q**2 + 5*q - 5*q. -21*q**2 Expand (-3*m**4 + 3*m**4 - 2*m**4)*(5 - 4 - 3) - 19*m**4 + 10*m - 10*m + 3*m**3 - 3*m**3 + 8*m**4. -7*m**4 Expand p**5 - 3*p**3 + 3*p**3 - 3*p**4 + (0*p + p - 3*p)*(-2*p**3 + 2*p**3 - 2*p**4) + (0 - 3 + 1)*(2*p**5 - 2*p**5 + 2*p**5). p**5 - 3*p**4 Expand (26 + 4251*y - 2*y**2 - 4 - 4258*y)*(0 - 1 + 3). -4*y**2 - 14*y + 44 Expand (63 + 60 + 34*v - 120 + (2 + 0 + 2)*(3*v - 2*v - 2*v))*(-v**2 - 2*v**2 + 2*v**2). -30*v**3 - 3*v**2 Expand -6 + 8 + p**3 - 4 + 2 + 2*p**3 - 2 - 3*p**3 + 2*p**3 + 2*p**3 + (3*p**2 + 3*p**2 - 5*p**2)*(0*p - 2*p + 3*p) - 2*p**3 + 2*p**3 - 2*p**3. 3*p**3 - 2 Expand (21*y**2 + 3*y**2 - 5*y**3 + 7*y**3)*(5 - 3 - 11) - 4*y**3 + 6*y**3 - y**3. -17*y**3 - 216*y**2 Expand 6*x**4 - 14*x**4 + 39*x**4 - 2 - 2*x**4 + 2 + x**4 - x**4 + x**4 + (0 + 0 + x**3)*(-x + 0*x + 2*x) + 1 + x**4 - 1. 32*x**4 Expand 0*c**5 - 4*c**5 + 2*c**5 + (-2*c**4 - c**2 + c**2)*(-139*c + 94*c - 150*c) - 2*c**3 + 2*c**3 - c**5. 387*c**5 Expand (-28*i**2 + 13*i - 13*i)*(2 + 2 + 3). -196*i**2 Expand (-77 + 25 + 27 + 25 + 735*p)*(-2*p + 7*p + 0*p). 3675*p**2 Expand (-g - 1 + 1 + (1 + 0 - 3)*(g - 2 + 2) - 2*g - 2*g + 2*g)*(22*g**2 + 1564*g - 1564*g). -110*g**3 Expand (2*a - 1 - 2 + 1)*(-7720 + 7720 + 137*a**2). 274*a**3 - 274*a**2 Expand (0*b - 11*b + 0*b)*(60*b - 35*b - 45*b - 2*b**2). 22*b**3 + 220*b**2 Expand (2*g**2 - g**2 - 3*g**2)*(35 - 4*g**3 - 66 + 25). 8*g**5 + 12*g**2 Expand m**2 + m**2 + 2*m**2 + (7 + 7*m - 7)*(m + 4 - 4) + (-4*m**2 + 3*m**2 + 4*m**2)*(-1 + 3 + 0). 17*m**2 Expand (3 - 3 + 3*f)*((-f + 0*f + 4*f)*(6 - 2*f - 6) + (-2*f - f + 5*f)*(0*f - 17*f - f)). -126*f**3 Expand s + 0 + 0 - 44*s + 38*s - 50*s + 2*s + s - 5*s + (1 - 1 + 2)*(-2*s - 1 + 1) + (0 - s + 0)*(5 - 1 - 2) + 1 - 1 - s + 4*s - 3*s - 2*s. -65*s Expand (2*s**2 + s**2 - 5*s**2 + (-2 + 2*s**2 + 2)*(1 + 0 - 2) + 38*s**2 - 82*s**2 + 33*s**2)*(-3*s**2 + 5*s**2 + s**2). -45*s**4 Expand (2457*o + 1470*o - 2101*o + 1)*(1 + 2 - 2). 1826*o + 1 Expand ((2 + 2*o - 2)*(o - o + 2*o) + 2*o**2 - 1 + 1 + 3*o**2 + 3*o**2 - 4*o**2 + (o - 2*o + 4*o)*(o + o + 0*o))*(o + 2*o - 2*o). 14*o**3 Expand (z + 2*z - z)*(-z**2 - z**2 + 0*z**2) + (-4 + 4 + z**2)*(-6*z + z + 3*z) - 25 + 25 - 17*z**3. -23*z**3 Expand 7222*p**2 - 7222*p**2 - 12*p**3 - 6*p + 1 + p + 2*p**3 - p + (3 - 3 + p)*(4*p - 4*p - 2*p**2) - p**3 - 5*p**2 + 5*p**2. -13*p**3 - 6*p + 1 Expand p**3 - 4*p**3 + p**3 + (0*p**2 + 5*p**2 - 4*p**2)*(p - 2 + 2) - 4*p**3 + 3*p**3 - p**3 + 7*p**3 + 0*p**3 + 0*p**3. 4*p**3 Expand ((g - g - g)*(3*g - g + 0*g) + 2*g**2 + 5*g**2 - 2*g**2)*(-4*g + 3*g - 4*g) + (-2*g**2 + 4*g**2 + 0*g**2)*(-4*g + 3*g + 0*g) - 108 + 57*g**3 + 108. 40*g**3 Expand (9 - 9 - 5*f + f - 3*f + 3*f - f + f + f + (-1 - 3 + 2)*(0*f - 4*f + 2*f) + 7*f - 3*f - 3*f + (7*f + 3*f - 4*f)*(-2 - 5 + 5))*(3 + f - 3). -10*f**2 Expand (-5 + 5 + 2*h)*(-49 + 20 + 28). -2*h Expand (-10*c - 3*c + 4*c)*(-2 + 4 + 1)*(1 - 4 + 0). 81*c Expand (2*k**2 + 0*k**2 + 14*k**2)*(13 - 3 + 8). 288*k**2 Expand ((18*w**2 - 151*w**2 + 19*w**2)*(0*w - w + 2*w) + 4*w**3 - 2*w**3 - 4*w**3 + 8*w - 2*w**3 - 8*w)*(3*w - 2*w**2 - 3*w). 236*w**5 Expand (-2*l + 2*l - 7*l)*(-22*l + 6*l + 5 + 15*l). 7*l**2 - 35*l Expand (-3*x**3 + 0*x**3 + x**3)*(-118 + 118 - 43*x)*((-6*x + 2*x + 3*x)*(-3 + 2 - 1) + 2*x - 3*x + 4*x - x + 4*x - 4*x). 344*x**5 Expand (-5*t**2 + 3*t**2 + 3*t**2)*(4*t**3 - 5*t**2 + 45281 - 45281). 4*t**5 - 5*t**4 Expand (-1797 + 2*m + 1836 - 5*m)*(5*m**2 - m**2 - 3*m**2). -3*m**3 + 39*m**2 Expand (-247*a + 109*a - 432*a - 303*a)*(-2*a**3 + 7*a**2 - 7*a**2). 1746*a**4 Expand (9 + 27 - 2)*(-5*m - 3 + 3). -170*m Expand (355 - 355 + 19*j)*(3*j - j - 4*j)*(-7 + 3 + 2). 76*j**2 Expand -49*o**2 - 3*o**4 + 49*o**2 + (4*o - 5*o + 7*o)*(3*o - o**3 - 3*o) - 2*o**4 + 0*o**2 + 0*o**2. -11*o**4 Expand (-2 + 3 + 1)*(-3 + 5 + 0)*(z + 4 - 4 + (-z + z - 2*z)*(-5 + 4 + 0) - 2 + 2 + 2*z)*(-29 - 14 + 53). 200*z Expand (k - 26*k - 46*k - k**2)*(-4*k + 0
{ "pile_set_name": "DM Mathematics" }
et c(a) = -a**2 + 5*a - 3. Let l be c(6). Let i be 6/(-3) + -6 + 1. Let n = i - l. Solve -4*t = n*y + 2*y + 28, y = -3 for t. -4 Let f = 36 - 22. Solve 5*d + 2*b = 16 + f, 0 = -4*b + 20 for d. 4 Suppose -d = -3*n + 3 - 4, 1 = d + n. Suppose 0 = 4*f - 3*f. Solve 2*v + 3 = -s, -v + f - d = s for s. 1 Let r(t) = -3*t**2 + 20*t - 12. Let f be r(5). Solve 4*m = a + f, 0 + 3 = -3*a + 3*m for a. 3 Let o(z) = z - z**2 - 7*z + 6 + 0*z. Let c be o(-7). Let i be (-3)/(-6)*(c + 5). Solve b - 2 = -i*x + 11, -b = -5 for x. 4 Let v = 21 + -21. Solve v = r + 3*d - 13, -r + 1 = -4*d + 9 for r. 4 Let n = -76 + 81. Solve p = n*l + 13, 2 = -4*p - 6 for l. -3 Let k(m) = 2*m**3 + 6*m**2 + 3*m. Let g be k(-2). Solve 2*h = -g*n + 10, -h = -0*h - 2 for n. 3 Suppose -m + 4 = -10. Solve 5*s - o = -4*o + 4, 5*o - m = -s for s. -1 Suppose 5 = 5*z + 20. Let b(a) = a + 6. Let f be b(z). Solve 3*x + h = -f*h + 27, 4*x - 2*h = 14 for x. 5 Suppose 2*i - 7 = -1. Suppose 3*c - i = 3. Suppose -3*f + c*q = -18, -4*f - f = 4*q - 30. Solve -3*p = -3*v + f, 2 - 11 = -4*v + 3*p for v. 3 Suppose -2*c = -3*c + 10. Solve 5*p - c = -s, 3*p - 2*s - 7 = 12 for p. 3 Suppose -c + 0*g + 3*g - 1 = 0, -5*c + 5*g = 35. Let y be c/(-6) + 5/15. Solve -15 = 5*o + 5*t, -3*o - 4 = y*t - 0 for o. 2 Let h be ((-3)/1)/(-2 - -1). Let b be 3 + 2 + h/3. Let i(g) = -g + 8. Let p be i(b). Solve -p*f - 2*k + 0 + 4 = 0, f - 5*k + 10 = 0 for f. 0 Let h = -12 - -21. Let z(s) = s - 6. Let u be z(h). Solve -5*b = -5*a - 45, -5*a - 2 = -u*b + 33 for a. -4 Let k = -39 - -64. Solve -12 = -3*n, 0 = 2*z - 3*z + 5*n - k for z. -5 Suppose -21 - 42 = 3*x. Let b be 3/((-9)/x) - 2. Solve -b*o - 12 = 3*u + u, 4*u = 3*o + 20 for u. 2 Suppose -2*l = -17 + 3. Let h(k) = 6*k**2 - 1. Let f be h(1). Solve 2*o - f*o = r + l, 0 = -r + 5*o + 9 for r. -1 Let i(j) = -2*j + 15. Let x be i(5). Solve 0 = x*a + 2*u + 28, u = 2*a - u for a. -4 Let q(o) be the second derivative of o**3/6 + o**2/2 + 2*o. Let p be q(4). Let k(y) = y**2 + 4*y + 1. Let a be k(-6). Solve -w = -j, -w + p*j = -a - 3 for w. -4 Let f = -10 + 13. Let s = 7 - 10. Let n = f + s. Solve -l + 13 = -3*i + 1, l + 4*i + 9 = n for l. 3 Let t = -7 + 2. Let o(k) = -2*k - 6. Let b be o(t). Suppose -b*w + 2*a = -30, -3*w + 0*w - 5*a = -16. Solve -2*q - w = -l, -l - 2*l - 29 = 4*q for l. -3 Let a(l) = l**3 + 24*l**2 + 24*l + 25. Let k be a(-23). Solve 5*h + 0 = -y - k, 0 = -3*y + 3*h - 6 for y. -2 Let d(q) = -4*q. Let i be d(-1). Suppose 5*k = -2*w - 2, i*w + 3 = -1. Solve -f + 2 = 5*r, 2*f - f + r - 2 = k for f. 2 Let p(z) = -z - 2. Let m be p(-8). Solve -2*t - t + 3*j = -m, -5*t - 4*j - 26 = 0 for t. -2 Suppose 18 = 5*c + 4*c. Solve -6*d = 3*i - c*d + 2, 5*i + 5*d + 5 = 0 for i. -2 Suppose 2 - 14 = -l. Suppose -4*t + l - 40 = 0. Let n be 2/3 - t/3. Solve n*s - 8*s = y, 4*y = -4*s for y. 0 Suppose -4*u + 4*q = -21 + 1, 5 = u - 5*q. Suppose 2*m = -0*m + 46. Let p = m + 2. Solve p = u*z - 5*i, z + 11 = -4*i - 4 for z. 1 Let q(c) = -c**3 - 4*c**2 - 4*c - 1. Let a be q(-3). Let x be (-3)/a*(-68)/3. Let g be 2/(-5) - x/(-10). Solve f + 2 = -g*f + 2*z, -2 = f + z for f. -1 Let q(l) = l + 4. Let z be q(7). Let b = -6 + z. Let r = -14 - -19. Solve -5*v + b*g - r = 0, -2*v - 6*g + g = -19 for v. 2 Let y = -11 + 11. Solve -5*s + 3 = -2*s + c, -2*c - 6 = y for s. 2 Suppose 0 = 7*c - 11*c + 4. Suppose 19 - c = 3*w. Let l = w - 1. Solve -a + 0*a = 2, 25 = 3*t - l*a for t. 5 Let a be 9 - (-4 - (-7 + 0)). Solve -3*m = -l + 2*m - 11, -3*m = -a for l. -1 Let m(a) = a**2 - a + 24. Let q be m(0). Suppose 16 = 4*s - q. Suppose 0*k - s = -5*k, -5*i + 4*k + 7 = 0. Solve -i*d + 4*p = 5, -2*p = -3*d + 6*d - 25 for d. 5 Let i(s) = -s**3 + 5*s**2 + 6*s. Let x be i(6). Suppose f - 5 + 3 = 0. Solve x = -2*c + f*r, -1 + 13 = 4*c - r for c. 4 Let a(c) = -3*c - c + 3*c + 6. Let l be a(-7). Let z = -28 + 34. Solve -4*p = q + l, 3*p + 2*q - 18 = z*p for p. -4 Suppose 35 = 6*z - z. Let g = 21 - z. Solve 4*k + 32 = -2*u - u, -2*k - u - g = 0 for k. -5 Suppose 0 = r - 0*r - 5*o + 12, -15 = -r - 4*o. Solve -2*i - 3 = m - 0*m, -r*m = 3*i for m. 3 Let l(w) = 10*w - 20. Let z be l(4). Solve 3*s = -2*j + 15, -4*s + j = -j - z for s. 5 Let z = 70 + -50. Suppose 4*b - 15 = -3*d, 4*d = -0*b - 3*b + z. Solve -t = -4, -f + t - 2*t + 1 = b for f. -3 Let v = -7 - -8. Let n be (-2 + v)*(0 + 0). Solve -2*l = -n*l + 4*m - 22, 0 = 3*l + 4*m - 25 for l. 3 Let o be (8/(-12))/(6/(-261)). Suppose i + 19 = 5*z - 2*i, 2*i - o = -5*z. Solve -a - 2*b - 3 = -z*b, 4*a - b = -12 for a. -3 Let x(r) = r**3 - 3 + 3*r**2 - 3*r**2 + 4*r**2 + 0*r**2. Let j be x(-3). Solve -2*k = 5*v - 2 - 19, -j = -2*v - 2*k for v. 5 Let x(v) = -v + 15. Let p be x(7). Suppose -r = -10 + p. Solve -n - r*l + 5 = 2, 15 = 2*n - 5*l for n. 5 Suppose 20 = 5*s - a, 3*s - 4*a + 3*a - 12 = 0. Suppose 5*v - u - 11 = -0, -s*u = -2*v - 10. Solve -5*k - 4*m = m - 10, 2*k + v*m = 7 for k. -1 Suppose -63 = -3*r - 4*r. Solve 4*f + 4 = 4*l, r = -3*f - 3 for l. -3 Suppose 3 + 3 = 3*l. Suppose 2*i = -b + 20, -3*b + 2*i + 23 + 13 = 0. Suppose l*c - b = -4. Solve 0 = -t + c*g + 20, -4*t = g + 1 + 3 for t. 0 Suppose 2*i - 5 - 3 = 0. Solve 2*n + z + 8 = 0, -i*n + 3*n + 5*z + 7 = 0 for n. -3 Let s(l) = l**3 + 7*l**2 + 5*l - 2. Let f be s(-6). Let z be 0 + f/((-8)/(-6)). Suppose 57 = 3*a + 21. Solve -4*g - 4*r + a = 0, z*r - 12 - 4 = 4*g for g. -1 Let k = 15 + 6. Suppose -2*i - 8 = -x, 3 = 5*x - i - 10. Solve 5*g + k = -m - 2*m, 0 = x*g - 5*m - 4 for g. -3 Suppose -2*o + d = -13, -4*d + 12 = 5*o - 1. Solve -2*u + 5*u + 8 = 2*b, -12 = o*u - 2*b for u. -2 Let g(u) = u + 19. Let f = 28 - 42. Let x be g(f). Solve 0*n = -x*y + 2*n - 4, 5*n - 10 = -2*y for y. 0 Suppose 0 = 2*y - 6*y + 20. Let r = -37 + 57. Suppose -r = u - 6*u. Solve -u*h - 8 = 0, 2*w + y = 3*w - 5*h for w. -5 Let o = 14 + -11. Suppose -4*s + 4*h + 52 = 0, 8 = -o*s - 5*h + 39. Solve 3*l - s = 3*r, 2*l + 10 = 4*l - 4*r for l. 3 Let q = -6 + 12. Solve 2*t + 12 = 5*o - 6, -3*o = -q for t. -4 Suppose 2*a - 4*p = -3*a + 22, a = p + 4. Let s = a - 5. Let h = 0 - -3. Solve 5*m = -k + 19, -2*k + h*m - 13 = s for k. -1 Let g be (-15)/(-6)*(-48)/(-15). Suppose -i = 4*i - q - 7, -g = -i - 2*q. Solve 0 = -i*w - 3*c + 2, w + 5*c - 8 = -0*w for w. -2 Let z(q) = q**3 + 10*q**2 + 8*q - 4. Let c be z(-9). Solve -r - 2 = 3*u - 3, -9 = -r + c*u for r. 4 Let s be (-24)/(-10) + 6/(-15) + 0. Solve 2*x + 10 = -2*x + 3*c, 0 = -x + s*c for x. -4 Suppose 0 = -4*v - 0*v. Suppose 0 = 5*k + 15, 3*k - 6 = -v*l - 5*l. Solve -l*g - 1 = 2*c + 10, 0 = -g - 3 for c. -1 Let h(d) = d**2 - 10*d + 4. Let x be h(10). Suppose 0*w = x*w - 8. Suppose 5*s = -2*c + 4, -w*c - 3*s + 7 = -5. Solve 5*m + c = 3*q - 1, -4*m - q = 7 for m. -2 Let t(h) = 3*h**2 - h. Let i be t(-1). Let k = -3 - -7. Suppose 0 = 2*r - 5*y - 9, -4 = -k*r - 0*r - i*y. Solve -4*z - 13 = a - 31, r*a + 24 = 4*z for a. -2 Let v(i) = 4*i**3 - 4*i**2 + 3*i - 2. Let z be v(2). Solve 4*b = 4*r + z, 8 = -4*r - 0 for b. 3 Let g = -6 + 10. Solve 4*r = 5*j + 6*r - 2, 0 = 2*j - 4*r + g for j. 0 Suppose -l = l - 2. Let f be (-9)/36*l*-12. Solve -6 = 2*j + f*m, -3*j + 4*m = -0 - 8 for j. 0 Let q(c) = 2*c**2 + 4. Let p be q(0). Solve -3*h - p*u = -14, -2*u - 13 = 4*h - 3*u for h. -2 Let f = 134 + -132. Solve 6*t - 3 = r + t, -f*t = 3*r + 9 for r. -3 Let s = 26 - 22. Solve b - s*y - 8 + 25 = 0, -4 = -b - 3*y for b. -5 Suppose 3*p + 4*j + 5 = -2*p, 2*p + 3*j = -9. Suppose 6*f - 15 = p*f. Solve 5 + 6 = f*i + l, -3 = i - 5*l for i. 2 Suppose 0 = -6*v + 14 - 2. Solve 4*n - 5 = v*u + 3*n, -u + 5*n + 11 = 0 for u. -4 Let r(o) = 3*o + 26. Let w be r(-5). Let y be 2 - -3 - (-2)/(-1). Solve -8 = 5*i + 2*n, -2*i + n = y*i + w for i. -2 Let r(u) = -2*u**3 - 2*u - 4*u**2 + 2*u**2 - u**3 + 2. Let m be r(-2). Solve f + 4*k + m = 0, -2*f - k - 9 = -0*k for f. -2 Suppose 4*g = -5*d + 4*d + 3, 4*d + 4*g = 12. Solve -5 = x, d*c + x = -x - 13 for c. -1 Let p = -3 - -8. Solve 2*y - p*g - 18 = 0, 2*g = y - 0*g - 8 for y. 4 Let l(h) = -h**3 - 3*h**2 + 2*h + 3. Suppose 24 = -0*n + 3*n. Let o be (2/4)/((-1)/n). Let k be l(o). Solve -z - 2*b - 2*b = -k, 5*z = 5*b - 45 for z. -5 Suppose 3*a = -5*w + 26, 0 = 3*w - 2*a - 3*a - 2. Solve s = -2*h + 1, -w*h - 4 - 6 = -2*s for h. -1 Suppose -3*h - 24 + 8 = 5*o, -4*h + 2*o = -22. Solve 0 - 9 = 3*
{ "pile_set_name": "DM Mathematics" }
g**2 - 34*g - 30 What is the m'th term of -28, -85, -208, -427, -772? -5*m**3 - 3*m**2 - 13*m - 7 What is the a'th term of 117, 195, 273, 351? 78*a + 39 What is the o'th term of 327, 343, 369, 405, 451? 5*o**2 + o + 321 What is the f'th term of -51, -91, -133, -177, -223? -f**2 - 37*f - 13 What is the t'th term of -84, -84, -82, -78, -72? t**2 - 3*t - 82 What is the b'th term of -111, -439, -987, -1755? -110*b**2 + 2*b - 3 What is the t'th term of 24, 40, 56? 16*t + 8 What is the t'th term of 101, 83, 39, -43, -175, -369? -2*t**3 - t**2 - t + 105 What is the n'th term of 146, 147, 148, 149, 150, 151? n + 145 What is the w'th term of 163, 291, 419, 547, 675, 803? 128*w + 35 What is the g'th term of 39, 77, 115, 153, 191, 229? 38*g + 1 What is the u'th term of -44, 29, 238, 655, 1352, 2401, 3874? 12*u**3 - 4*u**2 + u - 53 What is the d'th term of 46, 156, 328, 556, 834? -d**3 + 37*d**2 + 6*d + 4 What is the a'th term of 397, 1596, 3595, 6394, 9993, 14392, 19591? 400*a**2 - a - 2 What is the z'th term of 64, 48, 34, 22? z**2 - 19*z + 82 What is the n'th term of -572, -575, -588, -617, -668, -747, -860? -n**3 + n**2 + n - 573 What is the u'th term of -7, -24, -43, -64, -87? -u**2 - 14*u + 8 What is the w'th term of 8, -14, -62, -148, -284, -482, -754, -1112? -2*w**3 - w**2 - 5*w + 16 What is the g'th term of 21, 23, 27, 33? g**2 - g + 21 What is the y'th term of -535, -552, -571, -592, -615, -640? -y**2 - 14*y - 520 What is the f'th term of -35, -9, 33, 91? 8*f**2 + 2*f - 45 What is the a'th term of -12, -6, -2, -6, -24, -62, -126, -222? -a**3 + 5*a**2 - 2*a - 14 What is the a'th term of -6095, -6069, -6033, -5993, -5955, -5925, -5909? -a**3 + 11*a**2 - 6105 What is the x'th term of 82, 22, -26, -56, -62? x**3 - 67*x + 148 What is the c'th term of -62, -57, -40, -5, 54? c**3 - 2*c - 61 What is the s'th term of -20, -28, -12, 40, 140, 300, 532, 848? 2*s**3 - 22*s What is the a'th term of 65, 128, 193, 260, 329, 400? a**2 + 60*a + 4 What is the s'th term of 946, 947, 962, 997, 1058, 1151? s**3 + s**2 - 9*s + 953 What is the n'th term of -344, -355, -374, -407, -460, -539? -n**3 + 2*n**2 - 10*n - 335 What is the x'th term of -9, -19, -35, -57, -85? -3*x**2 - x - 5 What is the m'th term of 134, 269, 406, 545, 686, 829? m**2 + 132*m + 1 What is the y'th term of 34, 122, 276, 502, 806, 1194, 1672? y**3 + 27*y**2 + 6 What is the d'th term of -10, -17, -32, -55, -86, -125, -172? -4*d**2 + 5*d - 11 What is the l'th term of 851, 843, 821, 779, 711? -l**3 - l**2 + 2*l + 851 What is the r'th term of 59, -39, -135, -229, -321, -411? r**2 - 101*r + 159 What is the y'th term of -50, -113, -218, -365, -554, -785? -21*y**2 - 29 What is the s'th term of 82, 226, 458, 772, 1162, 1622? -s**3 + 50*s**2 + s + 32 What is the q'th term of -104, -91, -78, -65? 13*q - 117 What is the d'th term of 2602, 5207, 7814, 10423? d**2 + 2602*d - 1 What is the k'th term of -60, -60, -74, -108, -168, -260, -390? -k**3 - k**2 + 10*k - 68 What is the n'th term of 4, -24, -108, -278, -564, -996, -1604? -5*n**3 + 2*n**2 + n + 6 What is the l'th term of -14, -10, -2, 10, 26? 2*l**2 - 2*l - 14 What is the l'th term of -32, -60, -100, -158, -240? -l**3 - 21*l - 10 What is the g'th term of 1735, 3467, 5197, 6925, 8651, 10375, 12097? -g**2 + 1735*g + 1 What is the h'th term of -50, -100, -164, -248, -358, -500, -680? -h**3 - h**2 - 40*h - 8 What is the o'th term of 6, 9, 12, 15, 18, 21? 3*o + 3 What is the b'th term of 2337, 2338, 2339, 2340, 2341? b + 2336 What is the a'th term of 212, 421, 642, 881, 1144, 1437, 1766? a**3 + 202*a + 9 What is the b'th term of -1248, -1250, -1252, -1254, -1256, -1258? -2*b - 1246 What is the p'th term of -1002, -1009, -1020, -1035, -1054? -2*p**2 - p - 999 What is the y'th term of -45, -244, -575, -1038, -1633, -2360? -66*y**2 - y + 22 What is the o'th term of 42, 68, 120, 204, 326, 492? o**3 + 7*o**2 - 2*o + 36 What is the j'th term of -32, -65, -106, -149, -188, -217, -230, -221? j**3 - 10*j**2 - 10*j - 13 What is the j'th term of -11, -26, -41, -62, -95? -j**3 + 6*j**2 - 26*j + 10 What is the p'th term of 40, 57, 84, 121? 5*p**2 + 2*p + 33 What is the d'th term of 54, 61, 68, 75, 82? 7*d + 47 What is the n'th term of 73, 81, 93, 109, 129, 153? 2*n**2 + 2*n + 69 What is the x'th term of 72, 161, 264, 387, 536, 717, 936, 1199? x**3 + x**2 + 79*x - 9 What is the w'th term of -10, -28, -74, -160, -298, -500, -778, -1144? -2*w**3 - 2*w**2 + 2*w - 8 What is the k'th term of -1970, -3948, -5926? -1978*k + 8 What is the r'th term of 60, 72, 80, 84? -2*r**2 + 18*r + 44 What is the q'th term of 422, 427, 432, 437, 442? 5*q + 417 What is the c'th term of -143, -289, -435? -146*c + 3 What is the l'th term of 1373, 2741, 4109, 5477, 6845, 8213? 1368*l + 5 What is the i'th term of -20, -33, -70, -143, -264, -445, -698, -1035? -2*i**3 + i - 19 What is the k'th term of 109, 433, 969, 1717, 2677? 106*k**2 + 6*k - 3 What is the p'th term of -62, -169, -266, -347, -406, -437? p**3 - p**2 - 111*p + 49 What is the a'th term of -70, -95, -130, -175? -5*a**2 - 10*a - 55 What is the w'th term of -11, -29, -53, -83, -119, -161, -209? -3*w**2 - 9*w + 1 What is the p'th term of -120, -239, -358, -477? -119*p - 1 What is the z'th term of -136, -229, -322, -415? -93*z - 43 What is the i'th term of -92, -91, -90, -89, -88, -87? i - 93 What is the j'th term of -6875, -6876, -6877, -6878, -6879, -6880? -j - 6874 What is the k'th term of 728, 725, 720, 713? -k**2 + 729 What is the f'th term of 339, 1354, 3041, 5394, 8407, 12074? -f**3 + 342*f**2 - 4*f + 2 What is the n'th term of 745, 1493, 2241? 748*n - 3 What is the s'th term of -13, -98, -343, -832, -1649, -2878, -4603? -14*s**3 + 4*s**2 + s - 4 What is the c'th term of -22, -29, -30, -19, 10? c**3 - 3*c**2 - 5*c - 15 What is the b'th term of -37446, -37444, -37442, -37440? 2*b - 37448 What is the y'th term of 103, 99, 85, 55, 3, -77, -191? -y**3 + y**2 + 103 What is the m'th term of -9, -30, -87, -198, -381, -654? -3*m**3 - 6 What is the j'th term of 106, 105, 116, 145, 198, 281, 400? j**3 - 8*j + 113 What is the s'th term of 566, 558, 546, 530? -2*s**2 - 2*s + 570 What is the t'th term of 587, 589, 591, 593, 595? 2*t + 585 What is the g'th term of 2308, 2307, 2306, 2305? -g + 2309 What is the a'th term of -667, -670, -681, -706, -751, -822, -925, -1066? -a**3 + 2*a**2 - 2*a - 666 What is the s'th term of -11, 5, 31, 67, 113? 5*s**2 + s - 17 What is the c'th term of -16, -14, -12, -10? 2*c - 18 What is the n'th term of -8, -18, -32, -50, -72, -98, -128? -2*n**2 - 4*n - 2 What is the a'th term of 176, 212, 246, 278, 308, 336? -a**2 + 39*a + 138 What is the t'th term of 14, -38, -184, -472, -950? -8*t**3 + t**2 + t + 20 What is the h'th term of 7, -4, -23, -50, -85, -128, -179? -4*h**2 + h + 10 What is the s'th term of -3652, -3655, -3660, -3667, -3676, -3687? -s**2 - 3651 What is the o'th term of -406, -812, -1216, -1618, -2018, -2416, -2812? o**2 - 409*o + 2 What is the b'th term of 43, 53, 65, 79, 95, 113? b**2 + 7*b + 35 What is the n'th term of 718, 1443, 2178, 2923, 3678? 5*n**2 + 710*n + 3 What is the m'th term of -89, -184, -287, -398, -517, -644, -779? -4*m**2 - 83*m - 2 What is the j'th term of 21, 51, 121, 249, 453? 3*j**3 + 2*j**2 + 3*j + 13 What is the u'th term of 883, 882, 881, 880, 879? -u + 884 What is the h'th term of 15, 39, 77, 135, 219? h**3 + h**2 + 14*h - 1 What is the j'th term of -72, -126, -258, -504, -900, -1482, -2286? -6*j**3 - 3*j**2 - 3*j - 60 What is the h'th term of 2176, 2177, 2178, 2179? h + 2175 What is the q'th term of 33, 38, 43, 48, 53, 58? 5*q + 28 What is the l'th term of 16, 46, 64, 64, 40, -14, -104? -l**3 + 37*l - 20 What is the o'th term of -116, -111, -94, -59, 0, 89? o**3 - 2*o - 115 What is the u'th term of 3728, 14904, 33530, 59606, 93132, 134108, 182534? 3725*u**2 + u + 2 What is the f'th term of -227, -209, -187, -167, -155, -157? -f**3 + 8*f**2 + f - 235 What is the v'th term of -1428, -2854, -4280, -5706, -7132, -8558? -1426*v - 2 What is the x'th term of 113, 112, 111, 110, 109, 108? -x + 114 What is the z'th term of -2, 24, 66, 124, 198, 288, 394? 8*z**2 + 2*z - 12 What is the a'th term of -1157, -1151, -1145, -1139? 6*a - 1163 What is the r'th term of -1035, -2069, -3115, -417
{ "pile_set_name": "DM Mathematics" }
lify ((sqrt(75)*4 - sqrt(75)) + 1 + 4 + (sqrt(75)*3 - sqrt(75)) + sqrt(75) - (((-1 + sqrt(75))*-2 - (2*sqrt(75) + -4)) + -3))**2 + -4. 200*sqrt(3) + 7500 Simplify (4 + sqrt(304) + 3 + (sqrt(19) + -1 + sqrt(19))*3 + (sqrt(57)*2)/sqrt(3) + (6*1*sqrt(152))/(sqrt(24)/(-2*sqrt(3))))**2. 16 Simplify (3 + (sqrt(833) - (2 + 1*sqrt(833)) - (2 + sqrt(833) + 4)) + sqrt(833) + (sqrt(833) + (-1*sqrt(833) - sqrt(833)) + -5 - sqrt(833)) + -4 + 3)**2. 308*sqrt(17) + 3453 Simplify ((sqrt(847) - (1 + sqrt(847) + 4)) + -2*sqrt(847) + -1 + -1 + sqrt(847) + 2 + 6*(0 + sqrt(847)))**2. -550*sqrt(7) + 21200 Simplify (-5*(-4 + sqrt(288) + 3)*3 - (5*sqrt(288)*-5 - (sqrt(288) - (sqrt(288) + -2))*3))**2. 5040*sqrt(2) + 29241 Simplify (5*-4*sqrt(35)*-2*-3)/((sqrt(45) + sqrt(720))/sqrt(9) + sqrt(405) + (sqrt(405)*-4 - sqrt(405))). 120*sqrt(7)/31 Simplify ((sqrt(175)/sqrt(5))/sqrt(7) + (sqrt(5) + -2)*2 + sqrt(5) + (sqrt(495)/(sqrt(55)/sqrt(5)))/(sqrt(36)*-2))**2. -30*sqrt(5) + 1381/16 Simplify -6*(-1*(6*(3*sqrt(66)/sqrt(6) - (-2 + sqrt(704))))**2 + 3)*-3. -180738 + 12960*sqrt(11) Simplify (5 + sqrt(500))**2*-1 - (-2 + (-3 + sqrt(500))**2) - ((sqrt(500) - (3 + (sqrt(500) + 0 + sqrt(500))**2)) + 4 + sqrt(500) + 2). -60*sqrt(5) + 965 Simplify (-3 + -2*-3*sqrt(567) - (0 + 5 + -4*sqrt(7))*-5)**2. 1496*sqrt(7) + 8576 Simplify 3*(sqrt(66)/sqrt(216) - 3*sqrt(704)) + (-3*sqrt(132))/(-3*3*sqrt(3)). -425*sqrt(11)/6 Simplify (((3 + sqrt(3) + -5 - sqrt(3)) + 3 - (sqrt(12)/sqrt(4)*3 + sqrt(30)/(-1*sqrt(10))))*-2 + -1)**2. -24*sqrt(3) + 57 Simplify 0 + (-1 + (sqrt(833)*-3 + sqrt(833) + -2 - (sqrt(833) - ((-3*sqrt(833))**2 + 0))) + -5)*6. -126*sqrt(17) + 44934 Simplify -1*(sqrt(5000)*-2 - sqrt(50))**2 - -1*(-1*sqrt(72) - sqrt(72) - sqrt(72))/sqrt(9). -22050 - 6*sqrt(2) Simplify ((2*sqrt(48) + sqrt(48)/sqrt(4)*1)*1)/(sqrt(6) + sqrt(96)*6 + (1*sqrt(72))/sqrt(12)). 5*sqrt(2)/26 Simplify (((sqrt(64) - (sqrt(64) + sqrt(64)*-1)*-3) + -2*sqrt(64)*3)/((sqrt(8) - sqrt(48)/sqrt(24)) + (sqrt(72)/(1*sqrt(9)) - sqrt(8))))**2. 800 Simplify -1 + (1*(sqrt(84)*3 + sqrt(84)) + sqrt(84)*3*3)/(sqrt(700)*-3 - sqrt(70)/sqrt(250)). -130*sqrt(3)/151 - 1 Simplify -3*(((sqrt(20) + sqrt(60)/((sqrt(3) - sqrt(6)/sqrt(2)) + sqrt(3)))/(-4*sqrt(16)))**2 + (sqrt(125)*-1 - sqrt(5) - (-4 + sqrt(10)/sqrt(2)))). -207/16 + 21*sqrt(5) Simplify 1 + ((sqrt(4320) + -1*sqrt(4320))*6)/(sqrt(36)/(sqrt(66)/(-2*sqrt(11)))). 1 Simplify 3 + ((2*sqrt(343)*6 + sqrt(343) + 1 + 1*sqrt(343))**2 - (2*(sqrt(343) + 5)*-5)**2) + -4. -6804*sqrt(7) + 30428 Simplify 1 + (-6*(-5 + (4*(-1 + sqrt(3) - sqrt(3)))**2) - (1*sqrt(972))/(sqrt(196)*-2)). -65 + 9*sqrt(3)/14 Simplify -2*(sqrt(162) + -1 + sqrt(18) + sqrt(18) + -2 - ((sqrt(108) + sqrt(12))/sqrt(6) + -4 + -4 + sqrt(2)))**2. -450 - 200*sqrt(2) Simplify (sqrt(144) - (sqrt(144)*2 - sqrt(144)))/(sqrt(96)/(2*sqrt(12))) - (-4 + sqrt(48)/sqrt(96))*3. -3*sqrt(2)/2 + 12 Simplify (-5 + ((-4*sqrt(20)/sqrt(4))**2 - sqrt(5)))*-1 + -1 + (2 + (0 + sqrt(80))**2 + 1)*1. sqrt(5) + 7 Simplify sqrt(33)/((1*sqrt(3) + sqrt(3) + sqrt(3))*-3) + -4 - ((sqrt(99) - (0 + sqrt(99))*-1)**2 + 3). -403 - sqrt(11)/9 Simplify 2 + (2*sqrt(1620)*-4 + sqrt(1620))/((sqrt(4) - (sqrt(4) - (sqrt(40)/sqrt(2))/sqrt(5))) + sqrt(4) + sqrt(16)*1 + sqrt(4)) + -1. -63*sqrt(5)/5 + 1 Simplify (6*(sqrt(9072) + sqrt(9072)*2 + -5))**2 + 6*((sqrt(9072) + 2)**2 + 2). -38016*sqrt(7) + 2994696 Simplify (0 + ((-1*sqrt(99)*2 - sqrt(99)) + sqrt(99) + -2*sqrt(99)*-3)/((sqrt(900) + sqrt(900) + sqrt(900)*-2)*-6 + sqrt(900)) + 3)**2. 12*sqrt(11)/5 + 269/25 Simplify (-3*(sqrt(1539) - sqrt(1539)*-2*2))**2*-4 + -2*((-4*sqrt(228)*-1)/(sqrt(12) + (-1*sqrt(120) + sqrt(120) + sqrt(120))/sqrt(10)))**2. -1385252 Simplify 2 + 3 + -3 + (sqrt(528) + -4*sqrt(528)*1 + sqrt(528))/sqrt(11) + (-1*sqrt(96))/sqrt(2)*-6. 2 + 16*sqrt(3) Simplify (-3*sqrt(84)*-2*-6*3)/(5*(6*sqrt(132)*-4)/sqrt(11)). 9*sqrt(7)/10 Simplify (2 + (sqrt(891)*-2*-1 - sqrt(891)) + (-3*sqrt(132)*-1)/(sqrt(36)/sqrt(3)*6 - sqrt(12) - sqrt(12)))**2. 39*sqrt(11) + 16795/16 Simplify (-3*sqrt(864) + (sqrt(30) - sqrt(30)*-1)/sqrt(5))/(3*(sqrt(98) + sqrt(98)*-1) + sqrt(98) + sqrt(98) + sqrt(98) + 1*sqrt(98)*3 + sqrt(98) + sqrt(98)). -17*sqrt(3)/28 Simplify (-4*((3*sqrt(405) - sqrt(405)) + 1))**2 + sqrt(15)/(sqrt(432)*-2) + -5. 13823*sqrt(5)/24 + 25931 Simplify 2*(-4 + ((4 + 3 + 1 + sqrt(108) + sqrt(108))**2 - (((sqrt(63)/sqrt(3))/sqrt(7) - (5 + sqrt(6)/sqrt(2))**2) + -3))). 402*sqrt(3) + 1046 Simplify sqrt(44)/(sqrt(28)/sqrt(7)) - (sqrt(11) + -2 + sqrt(275)) - (-2*sqrt(704)*3 - -6*(-2 + sqrt(704)))**2. -142 - 5*sqrt(11) Simplify -5 + ((sqrt(441)*3)/sqrt(7))**2 + (sqrt(847) + -1*sqrt(847) - (sqrt(42)/sqrt(3))/sqrt(2)). -sqrt(7) + 562 Simplify -1 + (-5*sqrt(55)/(sqrt(99)/(sqrt(18)/sqrt(2))) + -2*(sqrt(360)/sqrt(81))/sqrt(8))**2. 1436/9 Simplify -4 + 2*(0 + (-1*sqrt(363) + sqrt(363))*-2 + 2*2*sqrt(363))*-1. -88*sqrt(3) - 4 Simplify (0 + (((sqrt(114) - (2*sqrt(114) + sqrt(114))*-1) + sqrt(114))/sqrt(6) - ((sqrt(95) + sqrt(95)*-2 + sqrt(95))*3)/sqrt(5)))*-6 + 2. -30*sqrt(19) + 2 Simplify -4 + 2*(1 + sqrt(162)*2 + 4 + (-5 + -1*sqrt(162))*1). -4 + 18*sqrt(2) Simplify -1 + (sqrt(500) + -1 + 3 + sqrt(500))*5 + (3*((sqrt(5) - sqrt(5)*-5) + sqrt(5) + sqrt(5))**2 - (-3 + sqrt(180) - sqrt(180))). 100*sqrt(5) + 972 Simplify ((1*sqrt(400)/(-5*sqrt(490)))/(-1*sqrt(1152)*-6 - 6*2*sqrt(1152)))**2. 1/1270080 Simplify ((1*(-3*(0 + sqrt(275)) + sqrt(275)) + -1)*-1)**2*-3. -3303 - 60*sqrt(11) Simplify ((2*(sqrt(26) - 2*sqrt(234))*5)/(-4*sqrt(6)/sqrt(3) - (sqrt(2) + (sqrt(110)/sqrt(5))/sqrt(11))) + 4)**2. 200*sqrt(13)/3 + 8269/9 Simplify (((sqrt(1872) + 0)**2 - sqrt(1872)) + 3 - (sqrt(1872) + -1*3*sqrt(1872))**2) + -5 + sqrt(13) + -3 + sqrt(143)/sqrt(11)*-1. -5621 - 12*sqrt(13) Simplify ((-4 + sqrt(704)*-1*-2)*2)**2 - (-6*5*(sqrt(891)*2 + sqrt(891)))**2*2. -14422872 - 512*sqrt(11) Simplify (5 + 5 + 5 + sqrt(208) - ((sqrt(208) + -2 + sqrt(208))*-3 - sqrt(208) - (sqrt(208) + 1*sqrt(208)*-1 - sqrt(208))))**2. 504*sqrt(13) + 10273 Simplify 5*(2*sqrt(19)*2*2 + -1*(sqrt(1216) - (-1 + sqrt(1216))) + 4). 15 + 40*sqrt(19) Simplify (sqrt(576) + (sqrt(576)*2 - sqrt(576)) + sqrt(576) - (3*sqrt(48))/sqrt(3))/((-1*sqrt(32))/sqrt(4) - -3*sqrt(512)). 15*sqrt(2)/23 Simplify ((sqrt(5) + -1 + sqrt(180) + 4*sqrt(5) + -5)*-4 + (sqrt(10)/(sqrt(20)/(sqrt(10) - (sqrt(10) - (sqrt(10) - 2*sqrt(10))))) - 5*(sqrt(20)*1)/sqrt(4)))**2. -2400*sqrt(5) + 13076 Simplify 4*((2*sqrt(228)*1 + (sqrt(228)*1*-4 - sqrt(228)))/(2*sqrt(108)*-4))**2. 19/16 Simplify (sqrt(24)/(sqrt(8)*4)*-5 + -3 - (sqrt(162)/sqrt(81) - sqrt(18))/(sqrt(18)/(sqrt(75) - sqrt(3))))**2. -17*sqrt(3)/2 + 721/48 Simplify sqrt(9)/(sqrt(363)*-3 + sqrt(3))*4 - (2*(sqrt(9) - sqrt(18)/sqrt(2)))/(sqrt(192) + sqrt(192)*2 + sqrt(192)). -sqrt(3)/8 Simplify (4 + 4 + -2*sqrt(28))*-5 + (sqrt(112) + -4 + -6*(1 + sqrt(7)) - 6*(-1*sqrt(1008))**2). -6098 + 18*sqrt(7) Simplify (4*(sqrt(10) + (1*sqrt(1440) - sqrt(1440)) - sqrt(10))/(3*1*sqrt(5)) + -2 + 1 + (sqrt(242) + 1)*-6)**2. 924*sqrt(2) + 8761 Simplify sqrt(2) + sqrt(2) + -5 + 4 - (sqrt(162)/sqrt(9) + sqrt(2)) - (3*(1 + sqrt(2))**2 - (sqrt(2) + -4 + sqrt(2)*1 - sqrt(2)))*1. -14 - 7*sqrt(2) Simplify 0 + sqrt(3888) + 4 + 1 - ((sqrt(144) + 1*sqrt(144))*-4)/(-2*sqrt(192)). 5 + 34*sqrt(3) Simplify ((0 + sqrt(27) + (-1*sqrt(297) + sqrt(297) + sqrt(297))/sqrt(11))*6 - (4*sqrt(108)*-2 - sqrt(108))/(sqrt(8)/sqrt(2)*1))*-1. -63*sqrt(3) Simplify -1 + ((sqrt(17) + 3)**2 - sqrt(17)) + (sqrt(68)/sqrt(4) + -5)**2 + (-2*sqrt(272) + 0 - (5 + (sqrt(272) - (sqrt(272) + 0 + sqrt(272)))**2 + sqrt(272))). -210 - 17*sqrt(17) Simplify (0 + sqrt(1100) + -1 + (sqrt(1100) - (-3 + sqrt(1100)*1 + sqrt(1100))))**2 + 2*((sqrt(1100)*4)**2 + 0 + -3). 35198 Simplify (sqrt(21) + sqrt(84)/sqrt(4)*1 + sqrt(42)/(sqrt(14)/sqrt(7)))/(-3*((sqrt(175) + 2*sqrt(175))*1 + sqrt(175))). -sqrt(3)/20 Simplify (5*5*((sqrt(216) - sqrt(24)) + sqrt(24))*1)/(sqrt(120)/(sqrt(20)/sqrt(2)*-6)*6). -75*sqrt(2) Simplify (-1 + (1*sqrt(160)*1*-5)/(sqrt(22)/(sqrt(275) - sqrt(11)) - (sqrt(2) - ((sqrt(2) - sqrt(200)*-1) + sqrt(2)))))**2. 32*sqrt(5)/9 + 1361/81 Simplify ((-2 + -4*1*sqrt(171) - (1*sqrt(228)*-1)/(sqrt(48)/sqrt(36)))*2)**2. 144*sqrt(19) + 6172 Simplify (4*sqrt(425))**2 - (sqrt(102)*-5)/sqrt(6) - (5*(sqrt(272) + (sq
{ "pile_set_name": "DM Mathematics" }
l? q Let f(c) = -c**3 + 18*c**2 + 21*c - 35. Let u be f(19). What is the second smallest value in u, -294, -4? -4 Let l = -7563 + 7564. What is the second biggest value in l, -15, 5, 1/3? l Let s = 19014 - 20868. What is the smallest value in s, -4, 1/8? s Let d be (-6 + 58/9)/(12/9). Let p = 21 - 19. Suppose -4*q - p*g = 18, -2*q + 4*g = -4*q - 18. Which is the third biggest value? (a) d (b) 0.39 (c) q c Let i be 1 + (-148)/180 - (-4)/(-10). Let f = 0.2 + -0.7. What is the fourth biggest value in 0.07, -5, f, i? -5 Let x = -5.853 + -5.147. Which is the smallest value? (a) 0.5 (b) -4/3 (c) 0 (d) x (e) -6/11 d Suppose 0 = 3*m + 4*b + 147, 2*b + 231 = -m - 4*m. Let k be 0 + 3 + (-6425)/m. Let y = -146 + k. What is the third biggest value in -5, y, 1? -5 Let q = -104 + 63. Let d be (-24)/(-494) - (4704/(-931))/48. Which is the third smallest value? (a) q (b) d (c) -5 b Let o = -635232/139 + 4570. What is the smallest value in -0.5, 1, -3, o? -3 Let f = 2.11591 + 0.08409. What is the fourth biggest value in -0.06, -3, 1, f? -3 Let j = 6.6 - 6.492. Let h = j + 4.192. Let z = h + -4.7. Which is the third smallest value? (a) z (b) 1 (c) -5 (d) 1/4 d Let h = 787/2 + -386. Let x = -3188.1 - -3188. What is the third biggest value in -0.5, h, -2/9, x? -2/9 Let r = 0.5 - -0.5. Let h = r - 6. Let y = -46 + 49. Which is the second smallest value? (a) y (b) 4/5 (c) -3 (d) h c Let i = 4819/35805 + -3/2387. What is the third smallest value in i, 1/11, 0? i Let z(g) = 1086*g + 4344. Let n be z(-4). What is the third smallest value in 1/3, n, 1? 1 Let o(l) = l**3 - 8*l**2 + 2*l + 10. Let r be o(8). Let j = r - 311/12. Let u = 0.2236 + -0.0236. Which is the biggest value? (a) j (b) 0.3 (c) u (d) -1/2 b Let i = 28270.3 + -28270. What is the fourth smallest value in 3/4, 1/6, 4/3, i, -2.4? 3/4 Let z be 4 + ((-70)/21 - 8) - -6. Let n = 11 - -8. Let h = 22 - n. Which is the biggest value? (a) z (b) 5/3 (c) h c Let k = -0.07 + -4.93. Let g = 36836/9 - 4079. Let o = 41/3 - g. Which is the third biggest value? (a) k (b) o (c) 3 a Suppose -4*v + 6 = 5*t - 2, 0 = 5*t. Let z(b) = -12*b**2 + 3*b - 4. Let y be z(v). What is the biggest value in y, 4, -0.5? 4 Let v = 135.86 - 135.9. Which is the smallest value? (a) v (b) 4 (c) 0.3 (d) -3 (e) 3 d Let o be 2/(-36)*455 + -6. Let f = o - -63/2. Which is the second smallest value? (a) -5 (b) -0.2 (c) f (d) -2 d Let j = 3145 + -3147. Which is the smallest value? (a) 2/9 (b) 0.112 (c) j (d) -1 (e) -1/5 c Let n = -723561/5 + 144713. Let u = 12 - 18. Which is the fourth smallest value? (a) u (b) 0.2 (c) n (d) -1 c Let o be (-320)/(-128)*(-1 - 27/(-25)). Which is the second biggest value? (a) -2 (b) 8.2 (c) -4 (d) o d Let z = 7023 - 7025. Which is the second smallest value? (a) z (b) 74 (c) -0.7 c Let j = 10 + -7. Let b = -588 - -620.2. Let z = 32.3 - b. What is the smallest value in z, 1, j, 5? z Let q = -2.7535 - -8.7535. What is the second smallest value in q, -4/3, 784, 0.2? 0.2 Suppose 4*y + 14 = 2*p - 0*y, 17 = 3*p - 5*y. Let r = p + -4. Let f be 2/4 + 2/(-2). Which is the fourth smallest value? (a) r (b) f (c) 2/9 (d) 0.5 d Let f = 2.2732 - 2.2232. Which is the third biggest value? (a) 1/5 (b) -54 (c) -4 (d) f c Suppose 3*w - 40 = -2*w. Let c(v) = 5*v - 24. Let z be c(w). Let q = z - 18. What is the biggest value in 1/7, -1/8, q? 1/7 Suppose f - 10*p + 13*p = -19, -2*f - 5*p - 33 = 0. Which is the third biggest value? (a) 2/5 (b) -1.8 (c) 2 (d) f b Let h = 54 - 52. Suppose -3*b + 4*b + 7 = -3*x, -3*b = -h*x + 10. What is the fourth biggest value in b, 2/3, 3, 3/7? b Suppose -2*u + 3 = 1. Let y = 1.6 - 2. Suppose 4*f - 4*x - 84 = 0, 8*f - 2*x - 67 = -7. What is the second biggest value in y, -1, u, f? u Let z be (3/(-4))/(219/(-1460)). Let m be (-4)/5*z/(-182). Which is the third biggest value? (a) 0.3 (b) -4 (c) m b Suppose -4*i + 3*i = -20. Suppose 0 = -110515*u + 110489*u + 104. What is the second smallest value in -2/7, i, u, 3? 3 Let k = 211.1 + -251.1. Which is the second biggest value? (a) k (b) 43 (c) 2/9 c Let h = 35298.9 + -35299. Which is the biggest value? (a) 4 (b) h (c) -46 (d) -3 a Let w be (-54)/(-36)*(75/(-9) + 5). What is the third smallest value in 19, w, 15? 19 Let i = 5.08 + -0.08. Let g = 0.1127 - 0.0653. Let f = -3.9526 - g. What is the biggest value in i, f, -0.06? i Let w = 143483 + -1436121/10. Let j = w + 259/2. Which is the third smallest value? (a) -4 (b) 3/4 (c) j b Let n = -31 + 33. Suppose n*t - 7*t = -165. Let g be ((-18)/24)/(t/(-8)). Which is the second smallest value? (a) -1/4 (b) g (c) 3 b Let g be 1/90*10/(-4). Let i = -538 + 145. Let m = 398 + i. What is the third smallest value in -1, g, m? m Let m = -3022 - -3021. Which is the second smallest value? (a) m (b) 198 (c) 4 c Let t = 30 + -20. Suppose t*o + 38 = -12. Suppose -2*r + 1 = -3*s, r - 4*r - s = 4. What is the fourth smallest value in r, -3/7, 0.5, o? 0.5 Let q be (-44)/12 - 230/(-75). Which is the fourth smallest value? (a) 4 (b) -5 (c) q (d) -152 (e) 7 a Let z = 23432/5 + -4686. What is the biggest value in -2/13, -0.05, 2, -0.2, z? 2 Let x = 133.5976 + 0.0024. Let y = x - 18.6. Let i = 116 - y. Which is the smallest value? (a) 7 (b) -0.4 (c) 0.5 (d) i b Let j = 0.004 + 30.996. Let n = -33 + j. Let r = n + 1.8. What is the biggest value in 0.4, -3, r? 0.4 Let c = -63 - -63. Let g = 69.844 - -0.156. Let t = -70.2 + g. What is the third smallest value in -1/2, c, t? c Let u be -12 - (-4 + 2) - -4. Let w = 10217 + -10192. What is the third biggest value in 2, u, w? u Let t = -438.78 + 440. Let b = -2.22 + t. What is the second biggest value in 1, b, 0.072? 0.072 Let v be (-3 - 0)*1*(-2034)/(-27459). Which is the third biggest value? (a) 2/9 (b) v (c) -5/11 (d) -0.5 (e) -0.8 c Let z = -110375/54 + 2044. Which is the third biggest value? (a) 2 (b) -0.3 (c) z b Suppose 0 = -57*p - 171 + 57. Suppose s - 7 = -4. Suppose -4*g = -s*g + 4. Which is the third smallest value? (a) -20 (b) g (c) p c Let j = -76 - -121. Let v = -43 + j. Suppose 0 = 5*m - 4*p - 3 - 7, 3*m - v*p = 6. Which is the fourth biggest value? (a) 2/19 (b) m (c) 0.1 (d) 2/17 c Let g = -43 + 39. Let k be -5 - -2 - (0 + 1)*g. Let i be (4/(-48))/(4/8) - 0. Which is the third biggest value? (a) i (b) -2/3 (c) k b Suppose 5*n - 4*i + 45 = 0, 5*i - 35 = 4*n + 2*i. What is the third biggest value in -2, 5, n? n Let t = 100986 + -100985.6. Let h = -43 - -15. What is the second smallest value in 2, h, t? t Let m = -5137/3 + 1714. Which is the smallest value? (a) 0.5 (b) m (c) 2/163 (d) -5 d Let h = 618/5 + -124. Let i = -61.98 + 61. Let p = 0.78 + i. What is the biggest value in h, -12, p? p Let v = 1/5584 - -10991/988368. What is the third smallest value in -0.2, 4, v? 4 Let p = 15974 + -15974.4. What is the smallest value in p, 0.2, -125, 0.5? -125 Let x = -690.9 + 690.6. What is the third biggest value in 244, x, -2/9, -0.4? x Let w = -0.1016 + 0.9016. What is the third biggest value in -3, 8, w? -3 Let v = -81.2 - -71. Let z = v + 10. Let m = -358/119 - -22/17. Which is the second smallest value? (a) z (b) m (c) 0 a Let s = 0.133 + -0.123. Let y = -23 - -23.4. What is the second smallest value in s, 0.3, y? 0.3 Let i = 123 - 125. Let r = -194 + 194. Which is the smallest value? (a) 1/3 (b) r (c) i (d) -2/5 c Let q = 43.1 + -43.2. Let a = -25.28 + 4.28. What is the second smallest value in 0.2, a, 5, q? q Let t = 2/913 - -903/4565. Let p = 683 + -683. What is the fourth biggest value in 1, t, -3/4, p? -3/4 Let d be 2/(1/(-2)*-1). Suppose q - 6*q + 11 = -n, -q = d*n - 61. Let b be (-2)/((-1)/2*528/44). What is the second smallest value in b, n, 0? b Let u = -5916 + 5921. Which is the second smallest value? (a) 1 (b) -4 (c) 0.4 (d) u (e) 481 c Let s = 991 - 992. Which is the second smallest value? (a) s (b) -2/5 (c) -4 (d) 4/27 (e) 2/13 a Suppose -5*p = -d + 106, 2*p + 142 = -3*d + 426. Suppose -39*x = -35*x - d. Let s = x - 29. Which is the third biggest value? (a) s (b) -1 (c) 4 a Let l = -34 - -17. Let u = l + 19. Let x = -0.459 + 0.959. What is the fourth smallest value in 0.4, u, x, 0.7? u Let j = -2/83 + 97/581. Let s = -6.412 - -7.17. Le
{ "pile_set_name": "DM Mathematics" }
maller: 20/23 or 2? 20/23 Which is bigger: 1 or -104? 1 Which is smaller: -33/142 or 1? -33/142 Is 9398 at least 9398? True Is -14/85 less than -0.1? True Is 0 > -91/190? True Are 0.2 and 328 unequal? True Is -1/86 >= 37? False Which is greater: -0.2 or -616? -0.2 Are -416 and -405 nonequal? True Is 50/3 greater than or equal to 0.1? True Which is smaller: -376 or -3? -376 Are -383 and -387 unequal? True Are -14/381 and -1 nonequal? True Is -1 at most 5/8451? True Which is greater: 232 or 165? 232 Which is smaller: -4/413 or -1? -1 Which is smaller: -1152 or -1153? -1153 Which is smaller: -0.054 or -5/6? -5/6 Which is bigger: 9/83 or 0? 9/83 Which is greater: 13566/11 or 1232? 13566/11 Is 111/8 less than or equal to 14? True Is 3 greater than 560? False Which is greater: -11 or -5? -5 Do -4495 and -1 have different values? True Which is bigger: 1/6799 or 1? 1 Are 0 and -1 nonequal? True Which is smaller: 56/25 or 2? 2 Is -3.35 less than -0.5? True Which is smaller: -293 or -296? -296 Are 5 and -444 nonequal? True Which is smaller: -6 or 2/119? -6 Is 117 > 117? False Do 1.3 and 15/2 have the same value? False Are 873/55 and 15 equal? False Is 23 at most as big as 22? False Is -5/548 >= -1? True Which is smaller: -11 or -19? -19 Are -11971/10 and -1197 nonequal? True Is -0.3 smaller than -2/9? True Is -21520 <= -21519? True Which is smaller: 5/4 or -0.111? -0.111 Is -0.2 at most -45? False Is 1275 at least as big as 1278? False Which is smaller: -43/776 or 1? -43/776 Which is smaller: 1 or -27/266? -27/266 Is -12.8 at most 11? True Which is smaller: -0.1 or 10? -0.1 Which is smaller: 667 or 16? 16 Is 0.1 less than or equal to -65.8? False Which is bigger: 161/6 or 28? 28 Is 47 != 51? True Is 1 bigger than 47? False Is -0.1 at most as big as -1554? False Do 4/3159 and -1 have the same value? False Which is smaller: 13 or 12? 12 Is 79 equal to 23? False Are 101 and -0.029 nonequal? True Which is bigger: 0 or 59/1066? 59/1066 Is 2648 at least as big as 2648? True Do -2 and -22/41 have the same value? False Is 21 less than 94? True Is -1748/5 at least -351? True Is 36 at least as big as -47/4? True Is 1 < 66/41? True Is -99 <= -36? True Which is smaller: -1442 or -1425? -1442 Is 94 not equal to 97? True Which is bigger: -2/291 or 1? 1 Are -2377 and -2376 non-equal? True Which is smaller: -6337 or -6338? -6338 Which is bigger: 3/167 or -1? 3/167 Which is greater: -1/11466 or 0? 0 Which is smaller: 0 or -56339? -56339 Which is smaller: -1 or 5/179? -1 Which is smaller: 422 or 423? 422 Which is smaller: 124 or 131? 124 Which is smaller: -25/9 or 2/3? -25/9 Is 962 equal to 958? False Is 3/2 less than 8/5? True Which is greater: 1/5 or -0.53? 1/5 Which is greater: -973 or -4863/5? -4863/5 Is 14 at most -30? False Which is bigger: 1340 or 1339? 1340 Which is smaller: 326 or 325? 325 Which is greater: -0.66 or 3/4? 3/4 Is -0.1 greater than or equal to -9/4? True Which is bigger: 1/3 or -3314? 1/3 Which is greater: -13/77 or -2? -13/77 Which is smaller: -23 or 358? -23 Which is smaller: 838 or 4/7? 4/7 Which is bigger: 14 or 10? 14 Which is greater: 462/5 or 93? 93 Is -22 < -22? False Are -2 and -78/55 unequal? True Do -6/103 and 0 have the same value? False Is 0 at most -4/711? False Is 0.14 greater than or equal to -0.087? True Is -415 smaller than -409? True Which is smaller: 3232/11 or 295? 3232/11 Which is smaller: 0 or 0.04981? 0 Is -1/2 <= -10? False Which is greater: -3/578 or -1? -3/578 Are 2/13 and 15 equal? False Is 1 greater than or equal to 5/102? True Are 790 and 800 nonequal? True Is -1/639 less than or equal to 1? True Which is greater: 1 or -8485? 1 Are 56 and 2/3 equal? False Is -1055 > -1056? True Which is smaller: -23/579 or 0? -23/579 Are 509/41 and 11 equal? False Which is greater: -1 or -23/118? -23/118 Is -3 >= 53/33? False Which is smaller: -355 or -709/2? -355 Is -2/3 != -42? True Is 9 != 126/13? True Which is bigger: -11/6220 or -1? -11/6220 Which is bigger: 1 or 12/1697? 1 Which is greater: 740 or 741? 741 Is 1 at most -2/8943? False Is 36 bigger than -59? True Which is smaller: -60/143 or -1? -1 Is -4/4049 > 0? False Which is smaller: 0 or 12582? 0 Which is greater: -0.3812 or -2? -0.3812 Is 28 greater than 28? False Are 178 and 172 unequal? True Are -5 and -119/32 equal? False Is 125 bigger than 128? False Which is smaller: 7.3 or 0.09? 0.09 Is -2/3 bigger than -79? True Which is bigger: -1480 or -1473? -1473 Which is bigger: -2062 or -2063? -2062 Which is greater: -15/1846 or 0? 0 Which is smaller: -9 or -80? -80 Which is smaller: -5 or 2.55? -5 Which is smaller: -7/12 or 233? -7/12 Which is greater: -8249 or -32999/4? -8249 Are -0.1 and -344 nonequal? True Is -13 != -13? False Which is smaller: -2 or -128? -128 Do 17661 and 17661 have the same value? True Is 9 at most as big as -33/2? False Which is smaller: -158 or -156? -158 Which is bigger: 1 or -54/389? 1 Is -4 less than or equal to -68/13? False Are -1 and -5/24 nonequal? True Which is smaller: 1/2 or 29? 1/2 Is -3/1730 at least as big as 1? False Is 1 greater than -68/1495? True Is -1/5 at most as big as 769? True Which is smaller: -2/13 or 9/8? -2/13 Is -1 equal to 3/4576? False Is -8075 < -8075? False Is -183 bigger than -184? True Is 97/14 less than 7? True Which is smaller: 4 or 75/19? 75/19 Which is smaller: -7051 or 1? -7051 Which is smaller: -1 or 15/104? -1 Is 7982 not equal to 7982? False Is 0.22 at least as big as 4? False Which is bigger: -2576 or -2577? -2576 Which is smaller: 2/95 or 0? 0 Is 0 less than or equal to -0.0108? False Are -1/88 and -0.02 non-equal? True Is -4084 >= -4085? True Which is smaller: 0 or -1/7? -1/7 Is -20 smaller than -21? False Which is smaller: -1 or -41/36? -41/36 Is -2/23173 > 1? False Which is smaller: 56 or 39? 39 Which is smaller: 128/25 or 5? 5 Is 1581 less than or equal to 3? False Is -12 less than or equal to -59? False Which is bigger: -15432 or -15433? -15432 Which is smaller: 67 or -13? -13 Do 53 and -3 have the same value? False Which is bigger: -1/2 or -18375? -1/2 Which is smaller: 0.1 or -25/11? -25/11 Do -1 and -1/2501 have the same value? False Is -86/45 greater than -2? True Which is smaller: 1 or -2/747? -2/747 Is -0.065 smaller than 0? True Is -1162 greater than -1160? False Is -13 less than -1? True Which is smaller: 0 or 1/85025? 0 Which is bigger: -1 or -185? -1 Is -294/5 at most as big as -4/3? True Which is bigger: 2 or 8701? 8701 Is -1 not equal to -4/38561? True Which is bigger: 4601 or 4600? 4601 Is -4 bigger than -28? True Which is smaller: -38 or -37? -38 Is -2254 equal to -2254? True Which is bigger: 208 or 207? 208 Which is smaller: 8894 or 8893? 8893 Which is smaller: -1590 or 1? -1590 Which is greater: -306 or -307? -306 Which is smaller: -0.018 or -0.05? -0.05 Which is smaller: -8 or -6/13? -8 Which is smaller: 357/95 or 3? 3 Which is smaller: 1333 or 1334? 1333 Do 2/5 and 0.36 have the same value? False Which is smaller: -22 or -0.66? -22 Is -2/23 at most -1/13? True Is 23 >= 27? False Is 14 less than or equal to 17? True Is -42 bigger than -171/4? True Is 4832 > 4832? False Which is smaller: -25579 or -25580? -25580 Which is bigger: 52876 or 52875? 52876 Is 0 not equal to -23/59? True Which is smaller: -1 or -34/3403? -1 Is -1/2 equal to -180? False Is -338 less than -340? False Is 0 greater than 89? False Which is bigger: 14/11 or 0? 14/11 Is -11310 at least as big as -11310? True Which is smaller: 200 or -20? -20 Which is smaller: 0 or 1/115? 0 Which is bigger: -1 or -2/885? -2/885 Is -1/6755 equal to -1? False Is -16714 <= -16713? True Does 0 = 50/447? False Is -0.1 at least 232? False Which is smaller: -581 or -586? -586 Which is greater: 2/5 or 20611? 20611 Which is greater: 202 or 203? 203 Is -90 at least as big as -90? True Does -5 = 88? False Which is greater: -0.1 or -218? -0.1 Which is smaller: -10 or 2? -10 Which is smaller: 0 or 1/1124? 0 Is 1/1538 at least 1? False Which is greater: 91/460 or -1? 91/460 Is 31356 at least as big as 31355? True Is 1549 at most as big as 1549? True Which is smaller: -0.3 or 0.05? -0.3 Do -7 and 0 have the same value? False Does 15 = -0.07? False Which is greater: -5342 or -5341? -5341 Which is bigger: 45 or 69? 69 Is -3/35 at least -11? True Is 27
{ "pile_set_name": "DM Mathematics" }
ed to the nearest 1000000? -10000000 What is 0.0003272974 rounded to 6 decimal places? 0.000327 Round 61026.57 to the nearest 10000. 60000 What is -9277.7 rounded to the nearest one hundred? -9300 What is -261382 rounded to the nearest one hundred thousand? -300000 Round 0.0006314489 to 4 dps. 0.0006 Round -6.430787 to two decimal places. -6.43 Round 0.02371476 to five dps. 0.02371 Round 21.42217 to 0 decimal places. 21 Round 5582765 to the nearest 1000000. 6000000 Round 0.0000776193 to 5 dps. 0.00008 Round -78120.3 to the nearest one hundred. -78100 What is -1.300384 rounded to one decimal place? -1.3 What is 309897 rounded to the nearest 1000? 310000 What is 32.15034 rounded to 1 dp? 32.2 What is -0.020187387 rounded to 5 decimal places? -0.02019 Round 3.55085 to the nearest integer. 4 Round -8796.4 to the nearest 10000. -10000 What is -0.000000555521 rounded to 7 dps? -0.0000006 Round 466280000 to the nearest 1000000. 466000000 Round 132219.4 to the nearest ten thousand. 130000 What is -0.11841101 rounded to three decimal places? -0.118 What is -0.00000063333 rounded to 6 dps? -0.000001 What is 58684.603 rounded to the nearest ten? 58680 What is 235.33 rounded to the nearest one hundred? 200 What is 0.1727682 rounded to four dps? 0.1728 What is -2743.8 rounded to the nearest 100? -2700 What is 667082.7 rounded to the nearest 1000? 667000 Round -0.00000212268 to six dps. -0.000002 Round 4914.5312 to the nearest integer. 4915 Round -74148 to the nearest ten thousand. -70000 What is 20.222214 rounded to 2 decimal places? 20.22 Round 1188.172 to the nearest 10. 1190 Round -1.305614 to zero decimal places. -1 What is 790.6281 rounded to the nearest 10? 790 What is -0.00000098033208 rounded to 7 dps? -0.000001 What is 0.0009732964 rounded to 5 dps? 0.00097 What is -0.0000469952 rounded to five dps? -0.00005 What is 32.51636 rounded to the nearest 10? 30 What is -0.0000281625 rounded to six dps? -0.000028 What is -9.240959 rounded to one dp? -9.2 What is -0.000033808 rounded to five dps? -0.00003 What is -2976623 rounded to the nearest 1000? -2977000 What is 80853200 rounded to the nearest one hundred thousand? 80900000 Round -0.0000806824 to seven dps. -0.0000807 What is -25.3451 rounded to the nearest integer? -25 Round -5.18784 to the nearest integer. -5 Round -53.956308 to the nearest ten. -50 Round 179535.6 to the nearest one hundred. 179500 What is 55408000 rounded to the nearest one million? 55000000 What is 4.64513 rounded to 2 dps? 4.65 Round -0.002191876 to five decimal places. -0.00219 Round 0.0000749096 to 6 dps. 0.000075 Round 207.741 to the nearest 10. 210 Round -19664110 to the nearest 100000. -19700000 Round 9474.841 to the nearest 10. 9470 Round 17.667951 to 1 decimal place. 17.7 Round -1665384000 to the nearest 1000000. -1665000000 Round -0.5889512 to three decimal places. -0.589 Round -216477 to the nearest one hundred. -216500 What is -99025700 rounded to the nearest 1000000? -99000000 Round -27178.887 to the nearest one thousand. -27000 Round 0.30995679 to four dps. 0.31 Round -313223 to the nearest one thousand. -313000 What is 948.01451 rounded to the nearest 10? 950 What is 3644.386 rounded to the nearest one hundred? 3600 Round -4.600478 to one decimal place. -4.6 Round -466.827 to the nearest 10. -470 What is -0.000347408 rounded to 6 decimal places? -0.000347 What is 1178852.1 rounded to the nearest 100000? 1200000 Round -16273.71 to the nearest one hundred. -16300 Round -209825000 to the nearest 100000. -209800000 What is 14297000 rounded to the nearest 1000000? 14000000 What is 0.00455042 rounded to 3 dps? 0.005 Round 0.0000505743 to six decimal places. 0.000051 What is -356.11817 rounded to the nearest 10? -360 What is 0.0019868579 rounded to 5 decimal places? 0.00199 Round 1064.993 to 0 dps. 1065 Round -3021995 to the nearest 1000. -3022000 What is -50012.54 rounded to the nearest one hundred? -50000 Round -12.4289 to two dps. -12.43 What is -61181680 rounded to the nearest ten thousand? -61180000 What is 5921.851 rounded to the nearest one thousand? 6000 What is 66543730 rounded to the nearest 1000000? 67000000 What is -34.13612 rounded to the nearest integer? -34 Round -6.8812111 to 0 decimal places. -7 Round 16036.458 to the nearest one hundred. 16000 Round 121402.57 to the nearest one thousand. 121000 What is 500.3416 rounded to the nearest 10? 500 What is 602.29735 rounded to the nearest one hundred? 600 Round 9417102 to the nearest one million. 9000000 What is 830100000 rounded to the nearest 1000000? 830000000 Round -0.00918031 to 3 dps. -0.009 Round 24.5068 to one decimal place. 24.5 Round -0.16421642 to two dps. -0.16 What is -0.0001632189 rounded to seven dps? -0.0001632 What is 1203.371 rounded to the nearest ten? 1200 What is 21.7918 rounded to one decimal place? 21.8 Round -3.44444 to one decimal place. -3.4 What is -33.7795 rounded to zero dps? -34 Round 0.842657 to one decimal place. 0.8 Round -0.00002188791 to seven dps. -0.0000219 What is -615.0315 rounded to the nearest ten? -620 Round 115418200 to the nearest 1000000. 115000000 What is -0.00002992407 rounded to 6 decimal places? -0.00003 What is -4.21857 rounded to 2 decimal places? -4.22 Round -7375356 to the nearest 10000. -7380000 Round -98936.97 to the nearest 1000. -99000 Round -71.0385 to the nearest 10. -70 What is 0.000256554 rounded to four dps? 0.0003 What is -1.0989515 rounded to one dp? -1.1 Round 7.2312273 to 1 dp. 7.2 What is 0.00663219 rounded to four decimal places? 0.0066 What is -26.090881 rounded to 0 decimal places? -26 What is 26.983588 rounded to 2 dps? 26.98 Round 0.000079356 to five dps. 0.00008 Round 0.09165342 to two dps. 0.09 Round 144100.1 to the nearest ten thousand. 140000 What is -16524046 rounded to the nearest one hundred thousand? -16500000 Round 19003613 to the nearest 10000. 19000000 Round 0.399486 to 1 dp. 0.4 What is 17595800 rounded to the nearest ten thousand? 17600000 Round -7212630 to the nearest one hundred thousand. -7200000 What is 0.00072481662 rounded to six decimal places? 0.000725 Round 0.000037184845 to 7 dps. 0.0000372 What is 604301.6 rounded to the nearest one hundred thousand? 600000 Round 0.000517522 to 5 dps. 0.00052 Round 55837708 to the nearest one million. 56000000 What is -41260.136 rounded to the nearest 100? -41300 Round -0.0114956 to two decimal places. -0.01 What is -0.01436536 rounded to 4 decimal places? -0.0144 What is 0.000002700907 rounded to seven dps? 0.0000027 What is -0.000000714947 rounded to seven decimal places? -0.0000007 Round -55.0694 to 1 decimal place. -55.1 Round 0.0000299952 to five dps. 0.00003 What is 0.00632787 rounded to five decimal places? 0.00633 What is 2.22332 rounded to zero decimal places? 2 Round 198.37982 to the nearest ten. 200 What is -529775 rounded to the nearest one hundred thousand? -500000 What is 0.299794 rounded to 2 decimal places? 0.3 What is -49.9287 rounded to zero decimal places? -50 Round 3588.663 to the nearest 1000. 4000 Round -32.5319 to the nearest 10. -30 Round 1.232733 to two decimal places. 1.23 What is -283143.1 rounded to the nearest 100? -283100 Round 0.034985705 to four dps. 0.035 Round -396.88 to the nearest ten. -400 What is 23203.5 rounded to the nearest 10000? 20000 Round -4452728 to the nearest 1000000. -4000000 What is 22828920 rounded to the nearest 100000? 22800000 Round -503824 to the nearest 100000. -500000 What is 5.364999 rounded to the nearest integer? 5 What is -6.301182 rounded to three decimal places? -6.301 Round -0.00319482 to 4 dps. -0.0032 Round 0.00220102 to 3 dps. 0.002 What is 3.202066 rounded to one dp? 3.2 What is 51337300 rounded to the nearest one million? 51000000 Round -0.0001185921 to six decimal places. -0.000119 Round 0.000001082023 to seven decimal places. 0.0000011 Round -0.0189096 to 2 dps. -0.02 What is 5.635206 rounded to one dp? 5.6 Round 704230 to the nearest one thousand. 704000 What is -369.1718 rounded to the nearest ten? -370 Round -7345.81 to the nearest one hundred. -7300 Round -21.5209 to the nearest ten. -20 Round 28925110 to the nearest ten thousand. 28930000 What is -3039.429 rounded to the nearest ten? -3040 Round 2291507000 to the nearest one million. 2292000000 What is 0.1
{ "pile_set_name": "DM Mathematics" }
s. -0.000098 What is 2.644731 rounded to three decimal places? 2.645 Round 31.7398 to the nearest ten. 30 Round 0.00508647 to five decimal places. 0.00509 What is -1405.51 rounded to the nearest one hundred? -1400 What is -85.711 rounded to the nearest 100? -100 What is -868.503 rounded to the nearest ten? -870 Round 7901.7 to the nearest 1000. 8000 Round 13847.298 to the nearest 100. 13800 What is 88975.6 rounded to the nearest 100? 89000 What is -1090.214 rounded to the nearest one hundred? -1100 What is -0.01705309 rounded to 3 decimal places? -0.017 What is -70353.15 rounded to the nearest 100? -70400 What is -0.23688164 rounded to 2 decimal places? -0.24 Round 0.0088573 to five dps. 0.00886 What is -246083.3 rounded to the nearest one thousand? -246000 Round 273481.9 to the nearest ten thousand. 270000 What is -103834300 rounded to the nearest one hundred thousand? -103800000 What is 6902.1 rounded to the nearest 1000? 7000 Round 631499 to the nearest 10000. 630000 What is -95.496 rounded to the nearest 100? -100 What is 0.0015932319 rounded to 6 dps? 0.001593 Round 91.8275 to the nearest ten. 90 What is 0.1808613 rounded to 4 dps? 0.1809 What is -0.000734913 rounded to five dps? -0.00073 Round -0.2447714 to four decimal places. -0.2448 What is -5567400 rounded to the nearest 1000000? -6000000 Round -0.001042966 to 6 decimal places. -0.001043 What is -0.0002990271 rounded to 7 dps? -0.000299 Round 0.306985 to 1 decimal place. 0.3 Round 22.2088 to zero decimal places. 22 What is -9081.21 rounded to the nearest ten? -9080 What is 1.394116 rounded to three decimal places? 1.394 What is -0.12417001 rounded to 4 decimal places? -0.1242 What is 0.6864795 rounded to 2 dps? 0.69 What is 0.059051 rounded to three dps? 0.059 Round 0.488185 to 1 dp. 0.5 What is 102.12718 rounded to 2 decimal places? 102.13 What is -5968330 rounded to the nearest ten thousand? -5970000 What is 0.0000195995 rounded to 5 decimal places? 0.00002 What is 0.147121 rounded to three dps? 0.147 What is -497658.5 rounded to the nearest 10000? -500000 Round -540809400 to the nearest one million. -541000000 Round -128.5452 to 0 dps. -129 Round 34208.3 to the nearest 1000. 34000 Round 0.000072363 to 7 decimal places. 0.0000724 What is -0.00150459612 rounded to seven decimal places? -0.0015046 What is 868389 rounded to the nearest one million? 1000000 Round -21355750 to the nearest ten thousand. -21360000 What is 6.16024 rounded to three dps? 6.16 Round 1310280000 to the nearest 1000000. 1310000000 What is -4505.17 rounded to the nearest one thousand? -5000 What is 1792610000 rounded to the nearest 1000000? 1793000000 What is -67.5561 rounded to 1 dp? -67.6 Round -0.00000284284 to 7 dps. -0.0000028 What is -22181300 rounded to the nearest 100000? -22200000 Round 60732000 to the nearest one million. 61000000 What is -2.852892 rounded to three decimal places? -2.853 Round -468119.15 to the nearest 10000. -470000 What is -0.000048716 rounded to four dps? 0 What is -135838.6 rounded to the nearest one thousand? -136000 What is 0.011020101 rounded to four decimal places? 0.011 Round 0.02205307 to five decimal places. 0.02205 Round -15069790 to the nearest 10000. -15070000 What is -4.63612 rounded to one decimal place? -4.6 Round 23360.6 to the nearest 100. 23400 What is 0.004837789 rounded to four dps? 0.0048 What is -4.793433 rounded to 0 decimal places? -5 What is 14541.3 rounded to the nearest one thousand? 15000 Round 1147.198 to the nearest ten. 1150 Round -1984200 to the nearest one million. -2000000 What is -322671 rounded to the nearest ten thousand? -320000 What is -173.717 rounded to one dp? -173.7 What is -1.339791 rounded to 3 dps? -1.34 Round 0.0000369987 to five decimal places. 0.00004 Round -0.48011 to three dps. -0.48 Round -34.651 to the nearest integer. -35 Round 1855860 to the nearest 10000. 1860000 What is -52899 rounded to the nearest ten thousand? -50000 What is -192.02533 rounded to 2 dps? -192.03 Round 3166558 to the nearest 10000. 3170000 What is -0.04289961 rounded to 3 dps? -0.043 Round -67854 to the nearest one hundred. -67900 Round -251230.1 to the nearest one hundred thousand. -300000 Round 5002120 to the nearest ten thousand. 5000000 Round -0.598429 to three decimal places. -0.598 Round -288514 to the nearest 1000. -289000 What is -0.1153651 rounded to 4 decimal places? -0.1154 Round -0.13164193 to 3 decimal places. -0.132 Round -161228 to the nearest 1000000. 0 What is 2026.1592 rounded to the nearest one hundred? 2000 What is -0.000042590743 rounded to 7 decimal places? -0.0000426 Round -26.5668 to the nearest integer. -27 What is -121282300 rounded to the nearest one hundred thousand? -121300000 What is -137.93197 rounded to the nearest ten? -140 Round 0.0143304 to four dps. 0.0143 Round -0.0001822727 to 7 decimal places. -0.0001823 Round 3330.098 to the nearest 100. 3300 Round 128703470 to the nearest one million. 129000000 Round -0.00006333902 to 5 dps. -0.00006 Round -0.0000012098339 to 7 dps. -0.0000012 What is -0.0767199 rounded to 4 decimal places? -0.0767 What is -0.00001378563 rounded to seven decimal places? -0.0000138 What is 0.0001236468 rounded to six decimal places? 0.000124 Round 2914325000 to the nearest one million. 2914000000 What is 1265.09846 rounded to 1 dp? 1265.1 Round -1.408826 to 1 decimal place. -1.4 Round -1738787 to the nearest 100000. -1700000 Round 113.603 to the nearest ten. 110 Round 26211450 to the nearest one million. 26000000 What is 65.4724 rounded to the nearest ten? 70 Round 752487.3 to the nearest one hundred. 752500 What is 558108 rounded to the nearest 10000? 560000 Round -0.00001133587 to six dps. -0.000011 What is -0.00001549516 rounded to 6 decimal places? -0.000015 Round -1809554700 to the nearest 1000000. -1810000000 Round 0.01754029 to 3 dps. 0.018 Round 668691.3 to the nearest 100. 668700 Round -223.899 to the nearest one hundred. -200 Round 0.01394576 to four dps. 0.0139 What is -132561.5 rounded to the nearest 10000? -130000 Round 9.335868 to two dps. 9.34 Round 0.0270908 to two dps. 0.03 What is -0.00176525 rounded to 5 decimal places? -0.00177 What is 0.000001406846 rounded to 7 decimal places? 0.0000014 Round 273080.43 to the nearest one thousand. 273000 Round -0.00001455057 to six decimal places. -0.000015 Round 2477222.1 to the nearest one thousand. 2477000 What is 7316370 rounded to the nearest 100000? 7300000 What is -78256.7 rounded to the nearest 100? -78300 Round 0.00539142 to 5 decimal places. 0.00539 Round -971.745 to the nearest one hundred. -1000 Round -0.0001033747 to seven decimal places. -0.0001034 What is -611797580 rounded to the nearest 1000000? -612000000 Round -0.000138991 to five dps. -0.00014 Round 0.0001529963 to 6 dps. 0.000153 What is -31558 rounded to the nearest ten thousand? -30000 Round -106.033 to the nearest one hundred. -100 Round 3309960 to the nearest one million. 3000000 What is -0.000344516 rounded to 4 decimal places? -0.0003 Round 265.637 to the nearest integer. 266 What is -2686000 rounded to the nearest 1000000? -3000000 Round 10543515 to the nearest 1000. 10544000 Round 0.00664184 to four decimal places. 0.0066 What is -114008700 rounded to the nearest 100000? -114000000 Round 110631130 to the nearest one million. 111000000 Round -12.50619 to two dps. -12.51 Round -268.6066 to 1 decimal place. -268.6 What is 86.6403 rounded to the nearest ten? 90 What is 0.014521 rounded to 3 dps? 0.015 What is -0.009795954 rounded to 6 dps? -0.009796 What is 349.09991 rounded to the nearest integer? 349 What is -4021.7 rounded to the nearest 100? -4000 What is -0.000000743545 rounded to 6 dps? -0.000001 Round -0.00001364434 to 7 decimal places. -0.0000136 What is -2260.4735 rounded to the nearest 100? -2300 What is 25.041477 rounded to two dps? 25.04 What is 2850021000 rounded to the nearest 1000000? 2850000000 Round -0.56663 to 1 dp. -0.6 What is -0.00004573163 rounded to seven decimal places? -0.0000457 Round -0.0011054728 to 6 dps. -0.001105 Round -0.000006954829 to six decimal places. -0.000007 Round -8.760419 to 1 dp. -8.8 Round -5.197575 to 0 dps. -5 Round 603668000 to the nearest one million. 604000000 What is 0.0012984 rounded to 3 dps? 0.001 Round 2.371115 to 3 d
{ "pile_set_name": "DM Mathematics" }
*(4 + 3 - 6)*(-12 + 67 + 7)*(5*f - 5*f - 5*f**2). -620*f**3 Expand (-901*o - 1000*o + 103*o)*(o + 2*o - 2*o). -1798*o**2 Expand (-c**2 - 5*c + 5*c)*(3*c**2 + c**2 - 3*c**2) + (2*c**2 + 0*c**2 + 0*c**3 + c**3)*(-8*c + 4*c - 3*c). -8*c**4 - 14*c**3 Expand (-3*c + 3*c + c)*(-6 + 2 + 3)*(16 + 2 - 5). -13*c Expand (h + 0*h + h)*(-9 + 3*h**3 + 9 + 5*h). 6*h**4 + 10*h**2 Expand ((-4*z**2 + 2*z**2 + 0*z**2)*(-z + 2*z - 2*z) + z**3 - 2*z + 2*z)*(155*z - 307*z + 239*z). 261*z**4 Expand ((3 - 1 - 3)*(0 - 5 + 4) - 18 + 9 + 32)*(4 + l**2 - 4). 24*l**2 Expand (-3*d - 3*d + 5*d)*(3*d - 3*d + 2*d) + (19*d + 5*d - 3*d + (d + d + d)*(0 + 1 + 1))*(-1 - 2*d + 1). -56*d**2 Expand (5*n**3 - 4*n**3 - 5*n**3)*(-4*n - 2*n**2 + 4*n)*(-2 + 8 + 5). 88*n**5 Expand (y**3 + 0 + 0)*((4 + 3 - 5)*(11*y - 15*y + 10*y) - 10 + 2*y + 10). 14*y**4 Expand -23*v + 44*v - 4 - 24*v + (-4 - 1 + 4)*(0*v + 2*v - 4*v). -v - 4 Expand (1 + 8*y + y**2 - 8*y + y**4)*(-8*y - 21*y - 14*y). -43*y**5 - 43*y**3 - 43*y Expand (1 - 1 - 3)*(25*g**3 - 45*g**3 + 331*g**3). -933*g**3 Expand (4 - 2 + 3)*(-11 + 11 - n)*(n**4 - 2*n**3 + 2*n**3). -5*n**5 Expand (-8*n**5 - 22*n**5 - 17*n**5)*(-12 + 13 + 7). -376*n**5 Expand -4*j**5 - 2*j**5 + 3*j**5 + (3*j**5 + 9*j**5 + 14*j**5)*(2 - 2 + 2). 49*j**5 Expand 175*w**4 + 1 + 119*w**4 - 39*w**4 + (2*w**3 + 0*w**2 + 0*w**2)*(w - w + w) + 3*w**4 - w**4 - w**4 - w**4 - 2*w + 2*w. 257*w**4 + 1 Expand -3*s**4 + 3*s**3 - 3*s**3 + (-2 - 1 + 4)*(s**4 - 3*s**4 + s**4) + (2*s**3 + 5*s**3 - 5*s**3)*(3*s - 4*s + 0*s). -6*s**4 Expand (-5 + 2 + 1)*((-3*l**3 + 0*l**3 + 2*l**3)*(-1 - 5 + 1) + 0*l + 0*l - l**3 + (3 - 3 - 2*l**2)*(-l - 2 + 2) - 2*l**3 - 3*l**3 + 2*l**3). -6*l**3 Expand 442*p**5 + 77*p**5 - 137*p**5 + (-2*p**3 + p**3 - p**3)*(p**2 + p**2 - 4*p**2). 386*p**5 Expand (2*h - 2*h + h)*(60 + 133 + 199). 392*h Expand (4 - 3 - 2)*(-4 - q + 4) + 36*q - 17*q - 2 - 26*q. -6*q - 2 Expand (-s**4 - 2*s**4 + 5*s**4)*(-s + 3*s - s) - 253*s**5 + 112*s**5 - 102*s**5. -241*s**5 Expand (-2925*p + 204 + 2923*p + 105)*(0 - p + 0). 2*p**2 - 309*p Expand (-y - 2*y + y)*(4 - 18*y - 4) + y**2 - 2*y**2 + 2*y**2 + (0*y + 0*y - 2*y)*(-15*y - 9*y + 8*y). 69*y**2 Expand ((-4*x + x + x)*(5 - 4 + 2) + x + 0*x - 3*x)*(-5*x + 6*x + 0*x). -8*x**2 Expand 2*x**3 - 2*x**3 - x**3 + (0*x**2 - 2*x**2 + 7*x**2)*(6*x - 5*x - 6*x). -26*x**3 Expand 450*k - 450*k + 5 - k**2 - 14*k**3 + 0*k**2 + 2*k**3 + 0*k**2 + (0 + 0 + k)*(-k + k + 2*k**2). -10*k**3 - k**2 + 5 Expand (-2517 + 58*q**2 + 2517)*(5*q**2 - 3*q**3 - 5*q**2). -174*q**5 Expand -173*k**4 + 623*k**4 + 430*k**4 + (4*k - 4*k + 2*k**2)*(-3*k + 3*k - k**2) + 2 - 2 - k**4. 877*k**4 Expand (m - 6*m + 3*m)*(-4 + 1 + 1) + 42*m - 8*m + 68*m - 1. 106*m - 1 Expand (-251*s - 493*s + 114*s)*(2 - 2 - 2)*(1 - 1 - 2*s). -2520*s**2 Expand (-22*a + 54*a + 10*a)*(527 - 527 + 29*a**4). 1218*a**5 Expand (5*y**4 + 4*y**4 - 4*y**4)*(-2*y + 0 - 1 + 6*y + (-2 - 2 + 5)*(0*y - 2*y + y) + 6*y + 2*y - 4*y). 35*y**5 - 5*y**4 Expand 2*d**5 - 2*d**4 + 2*d**4 + (d**2 + d**2 - 3*d**2)*(0*d + d**3 + 0*d) - 59*d**5 - 2*d + 1668 - 1668 + 2*d**5 - d**3 + d**3. -56*d**5 - 2*d Expand (0*j + j - 2*j)*(3*j + 0*j - j) + (4*j + 0*j - 7*j)*(2*j - j + j) + (-j + 2*j + 2*j)*(-3*j - 2 + 2). -17*j**2 Expand -6*j**4 - 2*j**5 + 6*j**4 + (-3*j**3 + 3*j**3 + 6*j**3)*(j**2 - j**2 - j**2). -8*j**5 Expand (4 - 1 - 2 + 2)*(-47*h**2 + 16*h**2 - 92*h**2). -369*h**2 Expand (4*p**2 - 2*p**4 - 4*p**2)*(-2 + 2 - 1) + 4 + 2*p**4 - 4 + 259*p - 546*p + 287*p - 3349*p**4. -3345*p**4 Expand (-1 + 1 - 2)*(10*d**3 + 19*d**3 - 6*d**3) + (2 - d - 2)*(0*d**2 + d**2 - 3*d**2). -44*d**3 Expand (-1 + 1 + 2*h)*(-h + h + 2*h) + (9*h**2 - 5*h**2 - 7*h**2)*(-1 - 5 - 16). 70*h**2 Expand (-9 - 10 - 2)*(-2 + 2 + 1)*(f - 7*f + 3*f). 63*f Expand (1 - 2 - 3)*(5*m - m - 16 - 8*m). 16*m + 64 Expand (2 - 2 + q)*(-17 - 51 + 13)*(-q + 3 - 2*q**2 + q). 110*q**3 - 165*q Expand 41*c**2 + 14*c**5 - 41*c**2 + (-c**3 + c**3 + c**3)*(2*c**2 + 2 - 2) + (c**2 - c**2 - 2*c**4)*(3*c - c - 4*c) - 6*c**5 - 14*c**2 + 14*c**2. 14*c**5 Expand -4*f - f + 7*f + (1 - 3 - 2)*(2*f - f + f). -6*f Expand (-h + 3*h**2 + h)*(-3*h**2 + 3*h**2 + 3*h**2) - 307*h + 307*h + 127*h**4. 136*h**4 Expand (-2 + 3796*a + 37*a**2 - 3796*a)*(1 - 1 + 1). 37*a**2 - 2 Expand (0*d**3 + 2*d**3 - 5*d**3)*(5*d - d + 0*d) - d**4 + 0*d**4 + 7*d**4 + 0 + 0 + d**4 + d**4 - 2*d**4 + 0*d**4. -6*d**4 Expand ((1 + 1 - 3)*(2 + 4 - 4) + 2 - 1 + 0 - 1 + 0 - 1)*(-2*z + 2*z - 2*z)*(37 - 10 + 2). 174*z Expand (j**5 + 2*j**5 + 5*j**5)*(12 - 19 + 61). 432*j**5 Expand (a - 4*a + 2*a)*(-10*a - 56*a - 16*a) + 1 - 2*a**2 - 1. 80*a**2 Expand 2*w**5 - 6*w**5 - 23*w**3 + 29*w**3 + (0*w**4 + 4*w**4 - 8*w**4)*(2*w + 0*w - w). -8*w**5 + 6*w**3 Expand 5*j**5 + 4*j**3 - 4*j**3 + (2*j**4 - j + j)*(-9*j + 0*j - 2*j) + 0*j**4 - 3*j**5 + 0*j**4 + (-1 - 2*j + 1)*(-j**4 + 4*j**2 - 4*j**2). -18*j**5 Expand (4*a + 0*a + 0*a + (-a - a + 3*a)*(1 + 4 - 3))*(-55*a + 55*a - 100*a**2). -600*a**3 Expand (-563 + 563 + 35*b**2)*(2 - 2 + 2 + (6 + 0 - 5)*(0 - 3 + 1) + 4 - 5 + 0). -35*b**2 Expand (27 + 9 + 15)*(2*i - 1 + 1). 102*i Expand (l - 3*l + 4*l)*(1 + 3 - 1)*(-5 + 32 - 137)*(-l + 4*l - 4*l). 660*l**2 Expand (-o**3 - 4*o**3 + 8*o**3)*(5*o**2 - 7*o**2 + 8*o**2 + (-o + 3 - 3)*(2*o + o - 2*o)). 15*o**5 Expand -3*w**3 + 3 - 3 + (10 + 5*w**2 - 10)*(4*w - 4*w - 5*w + (0 - 2 + 1)*(-w - w + 3*w) + 2*w - w - 2*w). -38*w**3 Expand (1 + 2*a**3 - 1)*((-20 + 41 + 133)*(-3 - 1 + 2) + 1 - 1 - 1). -618*a**3 Expand (0*y**2 - 5*y**2 + 3*y**2 + (y + y - 3*y)*(2*y - 3*y + 2*y))*(-y**2 + y**2 + y**2) + 34*y**4 - 15*y**4 - 5*y**4. 11*y**4 Expand (-2 + 2 + 2*p + (2*p + 4*p - 5*p)*(-1 + 3 - 3))*(4*p**4 + 0*p**4 - 2*p**4). 2*p**5 Expand (o**3 + 0*o**3 - 2*o**3)*((-3 + 4 + 0)*(17 - 3 + 1) + 1 - 4 + 1 + 4 + 0 - 3). -14*o**3 Expand -8*v + 8*v + 11*v**3 + (-2 + 0 + 4)*(-2*v**3 + 4*v**3 + 0*v**3) - 2*v**3 + 1 - 1 + 7*v**3 + 35*v**3 - 5*v**3 - 2*v**3 + 2*v - 2*v. 48*v**3 Expand (2*g**2 - 5*g**2 + 5*g**2)*(1139 - 2608 + 1205). -528*g**2 Expand (0*j + j + 0*j)*(-2 + 4 - 1)*(0*j + 2*j + 12*j). 14*j**2 Expand 4*c**2 - 3*c**2 + 2*c**2 + 2*c + 27*c - 33*c**2 - 27*c + (1 - 4 + 1)*(-4*c**2 + 3*c**2 + 3*c**2). -34*c**2 + 2*c Expand ((0*k + 2*k**2 + 0*k)*(-3 + 6 - 4) - 6*k**2 - 17*k + 17*k)*(7*k - 2*k - 3*k). -16*k**3 Expand (3*s - 3*s + 2*s**3)*((6*s**2 - 4*s**2 - 3*s**2)*(-1 + 1 - 3) - 5*s**2 + 3*s**2 + 7*s**2). 16*s**5 Expand (0 + n + 0)*(-1514 - 1308 + 2377)*(-n - n + 4*n). -890*n**2 Expand 0 + 0 + 5*j**2 - 3*j**2 + 2*j**2 + 2*j**2 - j**2 - j**2 + 3*j**2 + (3*j - 2*j + 0*j)*(-j + 0*j + 3*j) + (-j + j - 2*j)*(3 - 3 + 1)*(3*j - 3*j + 2*j). 5*j**2 Expand u**3 - u**3 - 2*u**3 + (1 - 1 + u)*(4*u**2 + 4*u**2 + 0*u**2) - 2*u**3 - 4 + 4. 4*u**3 Expand (3*w + 2 + 7 - 7)*(3174*w**2 - 3174*w**2 - 51*w**3). -153*w**4 - 102*w**3 Expand (-1 + 0*a - 2*a + 3)*(-2 - 8 + 2)*(-3 - 3 + 4). -32*a + 32 Expand (-n + 4*n + 0*n)*(-3 + 1 + 0) + (2 + 0 + 0)*(-1957 + 1957 + 2*n). -2*n Expand (-2*g**2 + 3*g**2 - 3*g**2)*((0 + 0 + g)*(1 - 2*g - 1) + 27*g**2 - 83*g**2 - 174*g**2). 464*g**4 Expand (2*g**3 + 8*g**2 - 8*g**2)*(-46*g + 33 - 33). -92*g**4 Expand 0*z**4 + z**4 + 2*z**4 + 3*z - z**4 - 3*z + (2*z - 2*z + 4*z**3)*(7*z - 3*z - 2*z) + (-3*z**2 - z**2 + z**2)*(-2*z**2 + 0*z**2 + 4*z**2). 4*z**4 Expand (6*p - 42*p + 2*p)*(3 - 2 - 2). 34*p Expand (-11*a - 10*a + 16*a)*(-2*a + 1 - 1)*(a**3 - 29*a + 29*a) + (3*a**3 - a + a)*(-2*a**2 + 4*a**2 - 3*a**2). 7*a**5 Expand (4 + 14*u - 212*u - 4)*(-1 - 2*u + 1). 396*u**2 Expand (72*c**2 + 67*c**2 - 35*c**2)*(0 - 4 + 2)*(2*c + 0*c + 0*c). -416*c**3 Expand (-57*r**2 + 79*r**2 - 36*r**3 - 56*r**2)*(0 + 1 - 2 - r). 36*r**4 + 70*r**3 + 34*r**2 Expand (2*u - 3*u + 0*u + (-3 + 3 - u)*(0 - 1 + 3) - 4 - 2*u + 4 + 4*u + 4 + u - 2*u)*(4 - 4 + 2*u**3). -4*u**4 + 8*u**3 Expand 27*v**2 + v**2 - 6*v**2 + 0*v**2 + 2*v**2 - 4*v**2 - 3*v**2 + 3*v**2 - v**2 + (v + 0*v + v)*(-v + 2*v + 0*v) + 4*v - 3*v**2 - 4*v. 18*v**2 Expand (g - 2*g + 3*g)*(41*g**2 - 1 + g - 141*g**2 - 191*g**2). -582*g**3 + 2*g**2 - 2*g Expand -18 - 15*t**4 + 18 + (t**2 + t**3 - t**2)*(-4*t + 0*t + 2*t) + 0*t**4 - 3*t**4 + t**4 + (-2*t**2 - 2*t**2 + 5*t**2)*(3 - 2*t**2 - 3). -21*t**4 Expand (4 + 2 - 5)*(7*z - 15 + 15)*(7 - 7 - 7*z). -49*z**2 Expand (3 - 3 + b**3)*(4 - 4 + b) - 1807*b**3 - 51*b**4
{ "pile_set_name": "DM Mathematics" }
17*n - 4*m - 401 + 109 = -56*n for n. 8 Solve 2121124*z = y + 2121126*z - 33, 3*y - 48 = -3*z for y. -1 Solve 55*y - 53*y = x + 26, 6*y - 7*y + 52 = -2*x for x. -26 Solve -w = h - 12, -59843*w - 2*h = -59845*w + 36 for w. 15 Solve 0 = 3*x - 4*x - 5*q + 9, -10*x - x - 163*q + 159*q = -48 for x. 4 Solve -4*w - 2*c - 79 + 137 = 80, 5*w = -9*c - 47 for w. -4 Solve i + n = -16, 366*i + 5*n = 362*i - 68 for i. -12 Solve -2*t + 3*i + 169 = 0, -14188*i + 14192*i + 206 - 4 = -2*t for t. 5 Solve -c + 10*u = 2*u + 146, -155*c + 152*c = -4*u + 78 for c. -2 Solve -v + 2*i = -40, 58*v - 61*v + 9*i + 84 = 5*i for v. 4 Solve -5*n = 85, -305*h + 2 = -310*h - n for h. 3 Solve 2*h + 3582*f = 3*h + 3577*f + 86, 5*h = f + 2 for h. 4 Solve -6*m - 2*m = -4*m - z + 7, -4*z + z = -4*z + 3 for m. -1 Solve -4*s - 22 = -5*g, 4*g + 8064 = s + 8075 for g. 2 Solve -2*s - 3*s - 2*b - 61 = 0, 50 = -4*s - 46*b + 44*b for s. -11 Solve -13 = -3*l + f, 1182*f - 8 = -3*l + 1178*f for l. 4 Solve -4*h = -108*i + 352, -63*h + 5*i + 40 = -60*h for h. 20 Solve -k - 11 = i - 2*k, 31*k - 51 + 53 = 3*i + 175 for i. -6 Solve w - f + 6 = 0, w + 74*f = -66*f + 136*f - 16 for w. -8 Solve 4*x + 5*r = 33, -1567*x - 38 = -1572*x - 3*r for x. 7 Solve -12*n + 295 = 5*q, 14 = 2*n - 4*q + 192 for n. 5 Solve -16 = -4*a - 3*r, -3*a - 18*r = -7*a + 71 - 307 for a. -5 Solve s - 6*z = -12*z + 4*z + 13, 13*z = 8*z + 20 for s. 5 Solve 3*s - 77 = 2*f, 74660*s - 3*f + 80 = 74664*s for s. 23 Solve -m - 3*a + 16 = a - a - 24, 3*m + 23*a - 120 = 0 for m. 40 Solve -a + 13 = 3*f, -11*f + 12*f - 59 = -4*a - 7 for f. 0 Solve 404*k = 217*k + 190*k + q + 22, -4*k = -4*q + 8 for k. -6 Solve 2*l - 408*v + 22 = -403*v, -l = 9*v - 11*v + 8 for l. 4 Solve 4*j + 2*b - 78 = 0, 0 - 166 + 72 = -4*j + 15*b + 69 for j. 22 Solve 18*m - 2*k - 74 = -23*m + 11*m, -3*k - 47 + 120 = m for m. 4 Solve 0 = 7*a - 2*a + p + p - 11 + 70, 0 = 7*a - 3*a + 115*p + 274 for a. -11 Solve -89*x - 96*x + 13 = -w - 189*x, 16*x = 2*w - 46 for w. -1 Solve 3*l = 0, j - 2*j - j + 12 = 2*j + j + j + 4*l for j. 2 Solve 4*a + 224 = -4*x, -127*a = -126*a - 5*x - 386 + 112 for a. -1 Solve 62 = 2*c - 5*y, -10642*c + 10638*c + 52 = -4*y for c. 1 Solve 672 - 656 = 2*f, -11*r + 43 = 4*f for r. 1 Solve -a + 62 = 4*k, -183839 = -2*a + 7*k - 183715 for a. 62 Solve -2*p - 21*g + 14*g - 16 - 1 = 0, 5*p - 6 = -3*g - 5 for p. 2 Solve -10*o = -3*m + 1125, -3*m - 9063 = -o - 9162 for m. -5 Solve -2*p - 20 = r, -1807*p = 16*r - 1803*p + 12 for r. 2 Solve 0 = 4*x - 5*o + 215, -303498 = x + 20*o - 304358 for x. 0 Solve -z = 2*k - 7, -283*z + 10 = 8*k - 285*z for k. 2 Solve -2*n + 5*h - h = 100, -4*n + 0*n + h + 34 = 45 for n. 4 Solve -45 = 3*r + 2*b - 172, 46*r + 1218 = 48*r + 18*b for r. -3 Solve 0 = -2*k - 3*w + 8, w + 11998 - 23983 = 2*k - 11993 for k. 4 Solve -3*a + 2*n = -32, -467*a - 80 = -494*a + 2*n for a. 2 Solve 0 = -5*k + 61*q - 402, 2 = -31*k + 37*k - 4*q for k. 5 Solve 0 = -953*r + 3*p - p - 861, 2*p = 5*r - 7*p + 12*p + 143 for r. -1 Solve 46 = 6*l - 11*l - 159, 66 = -8*s - 2*l for s. 2 Solve 2*w - 3*j + 0 = -3, -4*w + 65*j = -15*j - 7 + 87 for w. 0 Solve 0 = -8*z + 3*z + 3*i - 2*i - 13, -17*z = -3*i + 47 for z. -4 Solve 826*b - 830*b - 31*j - 100 = 0, b + 3*b - 40 = 4*j for b. 6 Solve 4*j - 908 = -75*o, 0 = j + 3*o - 105 + 67 for j. 2 Solve 4*v + 47 = 3*y + 5*v - 5*v, -2*y = 5*v + 53 for y. 1 Solve -4*n - 5*n + 10*n - 2*n - 2 = 0, 29*o - 4*n = 26*o + 20 for o. 4 Solve -5*t = -u + 8, -358*t + 24 = -353*t + 3*u for t. 0 Solve 2*z - 115*m = -232*m + 118*m - 25, 69 = 4*z + 5*m for z. -4 Solve -35*j + 12*j = -5*j - 6*j - 10*j + 5*t + 57, 54*j - t = -43 for j. -1 Solve 4*w = -k + 16, -6956*k = -5*w - 6957*k + 21 for w. 5 Solve 0 = 2*n - 5*i - 4, -2*n + 0*n + 58*i + 64 = 23*i for n. -3 Solve 8*n - 26*c = -21*c - 71, -4*c - 51 = 9*n for n. -7 Solve -4*l + g - 5*g + 64 = 0, 2700 - 2709 = -3*g for l. 13 Solve -10*d + 67 = -7*d + 4*m, 22*d = 90*d + 2*m - 1031 - 133 for d. 17 Solve 4*z = -6*w - 26, -166*w + 317*w = -z + 147*w - 19 for z. 1 Solve -4*a - 56 = 2*w, 1966*a - 1968*a = 3*w + 24 for a. -15 Solve r - 116 = 37*t, 5*t - 38 = 3*r + 38 - 106 for t. -3 Solve 4*z - 4*v + 0*v = 0, 637*z - 632*z + 7*v + 3 = 4*v - 5 for z. -1 Solve -3*a + 3*s = -42 - 63, 0 = a + s - 29 for a. 32 Solve 34*c + 4*y + 7 = 31*c - 280 + 15, 370 = -4*c - 9*y for c. -88 Solve 34680*n - 34685*n - 5*a - 30 = 0, 18*a = -5*n - 56 for n. -4 Solve 9*d - 5*y = 769, -351026*d + 351028*d + 3*y = 175 for d. 86 Solve 0 = -3*g - 5*b - 30, -2*g - 6*b + 435 - 908 = -453 for g. -10 Solve 0 = -5*s + 45, 3*u + 29424*s - 33 = 29422*s for u. 5 Solve 0 = 3*q + 4*p - 838 + 851, -3*q + p - 2*p = 1 for q. 1 Solve 306 + 36 = -53*g - 3*h, -2*g + h + 6 = 10 for g. -6 Solve -5*o + 17 = -3*a, 3707*o + 22 = 42*a + 3702*o for a. 1 Solve 330*a - 661*a = -332*a - y - 31, 0 = 8*a + 5*y + 101 + 39 for a. 5 Solve -280 - 2291 = -4*d + 287*y, 4*d = 4*y + 24 for d. -3 Solve -2*m = 38*t - 253 + 13, -5*m + t - 2221 + 2275 = 2*t + 3*t for m. 6 Solve -42*a + 40*a - 26 - 64 = -f - 115, f - 24*a = -289 for f. -1 Solve 947*g - 1905*g = -955*g - i + 5, -3*g + 3*i = 9 for g. -1 Solve 80*y - 4*h = 78*y - 60, 5*h = 101*y + 75 for y. 0 Solve 8*h - 6*h = -4, -20 + 72 = 25*u - 21*u - 6*h for u. 10 Solve -32582*h + 32582*h + 8*p = 40, 0 = 2*h + 2*p - 4 for h. -3 Solve -2*l = -2*a + 17 - 9 + 10, -3*l - 5*a + 5 = 0 for l. -5 Solve 5*z - 4*c = 55, 0 = -20*c + 21*c + 4 - 4 - 5 for z. 15 Solve 4*p = 0, -h - 61 = -p - 82 for h. 21 Solve -5 - 24 = -7*x - 5*k - 3, -40*k + 37 = 11*x - 36*k for x. 3 Solve z + 4*r = 8, -38*r - 4 + 19 = -23*r for z. 4 Solve -3*u = -7*y + 34, 3*u - 89*y + 6 = -85*y - 16 for u. -2 Solve 4*m - 45 = -3*z, -2564*m + 2560*m + 40 = 4*z for m. 15 Solve -6860*r + 6862*r = -3*q - 25, -5*q = -5*r - 25 for q. -3 Solve i + 2*o - 53052 = -53048, 0 = -3*i + 3*o + 3 for i. 2 Solve 2*a - 37 = -5*m, 2*a + 1428 - 1435 = m for m. 5 Solve -5*y + 74 = 8*r, -27 = -22*y + 17*y - 6*r + 41 for y. 10 Solve -3*s + 550*k + 815 = 275*k + 225*k, 0 = -2*k - 32 for s. 5 Solve -2*v + 33*p + 99 = 0, -11*v - 77 - 15 = 7*v - 19*v + 25*p for v. -33 Solve q + 48 = 12710*d - 12705*d, 38*d - 93 = -5*q + 234 for d. 9 Solve 2*x - y + 6 = 0, -408722 = -3*y - 408704 for x. 0 Solve -894*o + 22*y - 26*y = -10732, -5*y - 2 = 2*o - 0*y - 5 - 26 for o. 12 Solve -3*t - 2*n + 10 = -4, 11*n - 282 - 229 = -62*n for t. 0 Solve 1013*r - 1011*r - d = 54, r - 13 = -3*d for r. 25 Solve 60*s - 2*v - 23 = 65*s, 3*s - 2 = s + 2*v for s. -3 Solve -951*u = -956*u - 9*t + 92, 5*u = 2*t + 4 for u. 4 Solve a - 5*w = 5*a - 17 - 10, a + 2*w - 114 = -102 for a. -2 Solve 3*x + g = 14, 109*x - 107*x + 24*g - 266 = 0 for x. 1 Solve 12 = 3*q + b, -25*q - 9330 = -b - 9178 for q. -5 Solve -20*i + 19*i = -17*i - 4*k + 32, 2*k + 4*k = -3*i + k + 57 for i. -1 Solve 22*i - 4*i = o + 22, -2*o + 2 = 11*i - 16*i + 15 for i. 1 Solve -g + 2*b = -322720 + 322709, 3*g + 37 = -4*b for g. -3 Solve a + 7*r = 2*a + 13 - 31, -2*a + 13*r + 20 = -4*a + 2 for a. 4 Solve 2792 = -4*l + 2*d - 4*d + 2692, 0 = 6*l - 2*d - 90 for l. -1 Solve 4*z - 42 = 5*r - 58 + 37, -4*z = 4*r + 24 for z. -1 Solve -a - 3*a + 3*s + 140 = a, 3694*a - 3698*a - 13*s = -189 for a. 31 Solve -4*z + 4*d = -60, 7*z + 106*d + 97*d = 288*d - 90*d + 105 for z. 15 Solve -456169*q + 4*k = -456168*q + 14, 3*q + 26 = -4*k for q. -10 Solve -35*q = -5*c - 57 - 33, -2*q - 2*c - 137 = -3*c - 135 for q. 4 Solve -5*g - 15 = -1012*s + 1014*s, 4*g - 5*s - 21 = 0 for g. -1 Solve -3*i - 4*l = -61, -3*i + 4910*l = 4908*l - 91 for i. 27 Solve -4*x - 443*v + 935*v - 489*v = -29, 4*v + 20 = 3*x for x. 8 Solve -120 = 6*r - r - 266*b + 271*b, -b - 22 = 0 for r. -2 Solve 6*h - 2*v = v - 99, 3*h - 4*v - 157 = -299 for h. 2 Solve 2*h + 13*g - 16*g - 201 = -134, 2*g + 123 = 17*h for h. 5 Solve 4*l = s - 23, l - 7400*s + 7403*s = -9 for l. -6 Solve -5*y - p + 829737 = 829748, y - 41 = -11*p for y. -3 Solve 0 = -c - 45, 6*k = 5*k - 754*c + 752*c - 92 for k. -2 Solve 5*i - 5*j + 0 - 40 = 0, -2*j = 5*i - 19 for i. 5 Solve 230*t = 61*y + 225*t - 34, 4*y + 0*t = -5*t + 226 for y. 4 Solve 1155 = -5*f - 50*k, 3*f - 5*k - 147 + 14 = -33 + 12 for f. -1 Solve 2*i - 3*o - 58 = 0, -2504*i - 181*o = -2501*i + 3623 for i. -1 Solve 35 = -11*p - 4*l + 196 + 339, 5*p - 8*l - 188 = 0 for
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
Suppose -r = r. Let k be (r + -6)*(-4)/(-6). Sort 5, z, k in descending order. 5, z, k Suppose 11 = 5*d - 14. Suppose 4*v - 7 = d. Let w = 10 + -10. Put v, w, -2 in increasing order. -2, w, v Suppose 0 = 4*n + 5*m + 28, -3*n = -5*m - 1 - 13. Sort n, 2, -3, 5 in decreasing order. 5, 2, n, -3 Let m = 0.14 + -0.24. Let x = -0.3 - m. Suppose 0 = g + 2*g + 6. Sort 2, g, x in decreasing order. 2, x, g Let s = 6 + -10. Let p(x) = -x**2 - 5*x - 2. Let w be p(s). Sort 3, w, -4 in descending order. 3, w, -4 Suppose -4*x + c = -12, 2*c = 4*x - x - 14. Let f be (-3)/(-1) + -6 - 0. Sort x, 0.1, f. f, 0.1, x Let d be (-54)/(-10) + -2 + 0 + -3. Put 3, -0.4, 4/5, d in descending order. 3, 4/5, d, -0.4 Let t be (-1)/(-7) - (-13)/7. Let o be 1*((t - -1) + 3). Put 2, o, 3 in descending order. o, 3, 2 Suppose 3*z - 154 = -r, 0*z + 285 = 5*z - 4*r. Suppose -4*g = -47 - z. Suppose -3*x - 2*x = -g. Sort 1, -3, x in descending order. x, 1, -3 Let w = -1 - -14. Let t = w + -13. Sort t, 4, -5 in decreasing order. 4, t, -5 Suppose -41 = -5*a - 0*a + 4*p, 0 = -4*a + p + 24. Let n be (12/48)/(1/8). Suppose -d - 1 = -4*z + 5*z, -3*d = n*z. Put d, a, -3 in increasing order. -3, d, a Let q be (1/(-2))/((-1)/(-2)). Let c(r) = -5*r - r**2 + 3 - r**3 - 8*r**2 - 2*r. Let l be c(-8). Put 4, l, q in ascending order. l, q, 4 Let f = 0.26 + 0.04. Let j = -0.02 - -0.32. Let c = 0.2 + j. Put -5, c, f in decreasing order. c, f, -5 Let p(o) = 4*o + 6. Let k(h) = h. Let r be (1*-2 - 0) + 5. Let m(l) = r*k(l) - p(l). Let z be m(-7). Put -2, z, 4 in decreasing order. 4, z, -2 Suppose -4*o + 2*x - 3 - 9 = 0, 15 = 5*o + 5*x. Put -2, 49, o in increasing order. -2, o, 49 Let g = -12.4 - -12.13. Sort -2, 5, g. -2, g, 5 Let a = -29 + 20. Let n = 8.8 + a. Sort n, -5, 3. -5, n, 3 Suppose 0 = -2*k + 4*n - 24, -3*k - 4*n = k. Sort k, 0.3, -0.1 in decreasing order. 0.3, -0.1, k Let p = 30 - 28. Sort p, 5, 6 in ascending order. p, 5, 6 Let h = 4 + 3. Let t(z) = -z**2 + 7*z + 5. Let n be t(h). Sort 1, -2, n. -2, 1, n Let v(x) = -x**2 + 3*x + 25. Let w be v(7). Put 1, w, -18 in descending order. 1, w, -18 Let j = -17/138 - 1/23. Let w be ((-5)/25)/(44/(-20) - -2). Let y = 18/7 + -76/35. Put j, y, w in ascending order. j, y, w Let v be 0 + 1 + 1 + 0. Sort v, -1, -2, -5. -5, -2, -1, v Let t be (-166)/(-34) - 2/(-17). Sort 4, t, -38 in ascending order. -38, 4, t Suppose -p = -4*p. Sort -5, -2, p in ascending order. -5, -2, p Let h = 68 + -67.6. Sort 3, 4, h in decreasing order. 4, 3, h Let o = -1.4 + -0.6. Let d = -200.8 + 201. Sort 2/17, d, o. o, 2/17, d Let r = 0.043 + -2.343. Let z = 2 + r. Sort z, 3, -2 in decreasing order. 3, z, -2 Let i = -5/3 - -16/15. Sort i, -2, -0.3, -3 in decreasing order. -0.3, i, -2, -3 Let r = 2.3 - -0.7. Let m = -0.46 - -0.16. Sort m, 2, r in descending order. r, 2, m Let r = 7 + 0. Put r, 0, -3 in decreasing order. r, 0, -3 Let z(b) = -b**3 + 8*b**2 - 14*b + 9. Let s be z(6). Let y = 1 + 1. Sort s, y, -4 in increasing order. -4, s, y Let a = 0.3 - 0. Let r = 85.1 + -85. Put 7, a, r in decreasing order. 7, a, r Let v = 1.3 - 0.3. Let z = 2 - v. Let b = 2608/7 + -372. Sort z, b, 2/5 in ascending order. 2/5, b, z Let s = -1238150/9 + 137411. Let x = -161 - s. Let w be 3/24 - (-29)/24. Put x, -2, w in descending order. w, x, -2 Let r = 22 - 19. Sort 5, 2, -1/2, r in decreasing order. 5, r, 2, -1/2 Let x = -0.24 + -0.06. Suppose 0 = 3*h + 9. Let y be h/(-2) + 1/(-1). Put y, 1, x in ascending order. x, y, 1 Let s = 2 + -2. Let r = s - -3. Let n = 4.8 + -5. Sort -2, r, n in decreasing order. r, n, -2 Let j = -0.097 - -0.497. Let x(d) = d**2 - 5*d + 5. Let f be x(5). Sort j, 4, f in decreasing order. f, 4, j Let t = 110 + -106. Sort -1/5, 2, t, 5. -1/5, 2, t, 5 Let a(s) = s**3 - 16*s**2 + 15*s - 7. Let r be a(15). Put 5, 0, r in decreasing order. 5, 0, r Let s = 2.02 - 0.02. Let j be 20/(-9) + (-4)/(-18). Sort j, s, -0.3 in descending order. s, -0.3, j Let q = 21 - 16. Put -1/4, 0.2, q, 4 in ascending order. -1/4, 0.2, 4, q Let j be (-75)/(-60) + 34/(-8). Suppose 0*f - 8 = 4*f. Sort f, 2, j. j, f, 2 Let u be 3/9*(-18)/14. Sort u, 4, 5 in ascending order. u, 4, 5 Let f be 484/15*(-5)/(-2). Let r = 80 - f. Sort -4, -0.3, r. -4, r, -0.3 Let p = -14 + 3. Put p, 0, 3 in decreasing order. 3, 0, p Let c = 13.4 - 13.6. Sort 0.5, 1, c, 2 in descending order. 2, 1, 0.5, c Let t = -12 + 18. Let z(w) = w**2 - 4*w - 7. Let o be z(t). Let h be (-2)/3 + (-8)/(-3). Sort h, -2, o in ascending order. -2, h, o Let b = 3 + -4. Let n = -21 + 19. Let p = b + n. Sort p, -0.2, -0.3 in ascending order. p, -0.3, -0.2 Let o(b) = b - 3. Let z be o(2). Sort 0.5, -5, z in descending order. 0.5, z, -5 Let m = -0.53 + 1.53. Sort 2/3, m, -17/2 in decreasing order. m, 2/3, -17/2 Let v = 2.67 - 2.27. Let r = 4.11 - 0.11. Sort 0.1, v, r. 0.1, v, r Suppose l + 4 = a + 3*a, -2*a + 2*l = -8. Let m = -8 - 1. Let t = m + 5. Sort a, 3, t. t, a, 3 Let r(z) = z + 1. Let t be r(-2). Let i = t - -3. Let y(c) = c**3 + 16*c**2 - 16*c + 21. Let h be y(-17). Sort -3, h, i. -3, i, h Let w = 3/76 - -4/19. Sort 0.5, 3, w. w, 0.5, 3 Let h(d) = -d - 1. Let b be h(-5). Let i = -149 + 154. Suppose -4*f + 6 = -f. Put i, f, b in decreasing order. i, b, f Suppose u + q - 3*q = 0, 0 = 3*u - 5*q. Let j = u - -4. Suppose g = -3*g + 20. Sort g, 3, j in decreasing order. g, j, 3 Let h be (-3)/(-3)*-1*2. Let x = 145 + -150. Sort 2, x, h in increasing order. x, h, 2 Suppose 0 = o + 5*f - 18, f = -5*o - 3*f + 6. Put 5, o, 19 in increasing order. o, 5, 19 Let g = -9.4 - -13. Let k = -4 + g. Let d = -108/7 - -554/35. Sort k, -2/13, d in ascending order. k, -2/13, d Let s(h) = -h**2 - 5*h - 1. Let y(b) = b**2 + 5*b + 2. Let z(j) = 5*s(j) + 4*y(j). Let a be z(-4). Sort -2, 3, a in increasing order. -2, 3, a Let x(b) = b**3 - 3*b**2 - 2*b - 5. Let i be x(4). Let k be 5/(-2)*4/2. Sort i, -4, k in decreasing order. i, -4, k Let n = 37 - 33. Sort 0.05, -1, -4, n in ascending order. -4, -1, 0.05, n Let a = 0 + 0. Suppose 4*i - 2*x - 14 = 0, 8 = -i - 4*x - 2. Suppose 2*k + 0 + 1 = p, i*k + 10 = 4*p. Sort a, 2, p in decreasing order. p, 2, a Let o be 44/(-10) - 3/5. Put -2, o, 10, 0 in decreasing order. 10, 0, -2, o Let l = 0.07 + -0.07. Let z = 0.2 + -0.2. Let q = -1 + z. Sort l, q, 1. q, l, 1 Let c(l) = -6*l - 4. Let x be c(-1). Sort x, 4, 1. 1, x, 4 Suppose 2*o = 3*o - 2. Suppose 4 = -2*p + o*z, -p = 2*z - 0 + 5. Let i(f) = -f - 9. Let y be i(-5). Sort y, -2, p in ascending order. y, p, -2 Let z = -16.5 - -32. Let t = z + -16. Put t, 2, -0.3 in increasing order. t, -0.3, 2 Let w = 42 - 45.4. Let n = w - 0.6. Let x = -0.2 - -0.4. Sort -1, x, n in increasing order. n, -1, x Let q be 0/2 + 0 + 3. Suppose -q*m - 16 = m. Sort m, 4, 5. m, 4, 5 Let t be (2*-1)/2*2. Suppose i - 15 = -4*i, -3 = -3*u - i. Suppose g + 4*n = 0, -g + 6 = -0*g - 2*n. Sort g, t, u in descending order. g, u, t Let y be 2*(1 - 2) + 7. Sort y, 1, 31 in descending order. 31, y, 1 Let a = -9 - -11. Let r be (4/(-6))/(a/(-6)). Put r, 4, -1 in ascending order. -1, r, 4 Let f = -8 - -5. Let p = 0 - f. Sort p, 6/7, 0.2. 0.2, 6/7, p Let p be (-5)/(-3) - (-1)/3. Let c = -7 + p. Let z be 6/15*(-15 + 10). Put z, -4, c in descending order. z, -4, c Let f = -2.3 - -2.6. Sort -0.1, 0, -0.4, f in increasing order. -0.4, -0.1, 0, f Let y be 4/16 + 14/8. Put y, -1, 3 in decreasing order. 3, y, -1 Let g = -0.11 - 3.89. Let i be (3/(0 - 1))/(-2). Sort i, g, -2. g, -2, i Suppose 0 = 3*h - h + 3*j - 3, 2*h + 3 = -j. Put -6, h, -4 in increasing order. -6, -4, h Let r = 0.54 + 0.08. Let k = r + -0.22. Sort 1, 1/3, k. 1/3, k, 1 Let d be ((-6)/(-6))/((-2)/(-6)). Sort d, 1, -4 in increasing order. -4, 1, d Let f = -0.03 - 0.07. Let y = 1.1 + f. Sort y, 2/5, 2/3 in descending order. y, 2/3, 2/5 Suppose 0 = -z - 2*z + p - 12, 0 = 5*z - 2*p + 20. Let g be (0 - (-6)/(-4))*2. Put z, g, 3 in decreasing order. 3, g, z Let o(h) = -2*h**2 - 12*h + 3. Let n be o(-6). Put 5, 0, -1, n in descending order. 5, n, 0, -1 Let q(m) = 6*m**3 - 9 - m + 5*m**2 - 5*m**3 + 2*m**2. Let f be q(-7). Let u = -9 - -6. Put u, -1, f in decreasing order. -1, f, u Let f = -0.29 + -16.71. Let b = 12 + f. Let u = 8 + -5. Sort u, -4, b in increasing order. b, -4, u Let g be 1 + (-3 - -6) + 6. Suppose g*s - 5*s = -2*t + 3, 3*t = -s + 11. Put t,
{ "pile_set_name": "DM Mathematics" }
197677 What are the prime factors of 836586896? 2, 29, 1802989 What are the prime factors of 241096198? 2, 7, 29, 20477 List the prime factors of 42041073. 3, 701, 19991 What are the prime factors of 96353328? 2, 3, 37, 227, 239 What are the prime factors of 268732705? 5, 29, 1853329 What are the prime factors of 2147081129? 67, 97, 101, 3271 What are the prime factors of 1315739400? 2, 3, 5, 2192899 What are the prime factors of 901998362? 2, 19, 23736799 List the prime factors of 295076342. 2, 11, 13412561 List the prime factors of 1864367712. 2, 3, 2157833 What are the prime factors of 412606753? 13, 31738981 What are the prime factors of 6496189? 7, 23, 157, 257 List the prime factors of 889512712. 2, 11, 41, 246539 What are the prime factors of 193572254? 2, 96786127 What are the prime factors of 2456319896? 2, 307039987 List the prime factors of 29135032. 2, 1709, 2131 What are the prime factors of 19414282? 2, 29, 89, 3761 List the prime factors of 218861269. 11, 19896479 What are the prime factors of 69782189? 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{ "pile_set_name": "DM Mathematics" }
/((r**(-4/11)/r*r)/r)*r**(-14)*(r*(((r**12*r)/r)/r*r)/r*r)/r assuming r is positive. r**(-139/11) Simplify (a**(-1)*(a**(-9)*a)/a*((a/((a/(a/(a/(a*a**(-1/7)*a))))/a*a)*a)/a)**(8/3))**40 assuming a is positive. a**(-4240/21) Simplify ((l*(l**(-12/7)/l)/l)/l**(-8))/(l**9/l**(6/7)) assuming l is positive. l**(-20/7) Simplify (((p/p**4)/p)/p)**(-9/4)/(p**2*p*(p*p**(-7/2))/p*p) assuming p is positive. p**(43/4) Simplify (w/(w*(w/w**(-6))/w)*w)/w**(1/9)*w**22/w**17 assuming w is positive. w**(-1/9) Simplify ((r*r**(-1/31))/(r/r**33))/((r*(r**(-17)/r)/r)/(r**(-5/6)/r)) assuming r is positive. r**(9139/186) Simplify (m**(-1/8)*m*m/(m/(m/m**(-2/15))*m))**(-8/3) assuming m is positive. m**(-121/45) Simplify (i**(-2/3))**(-5/8)*i/((i*i*i*i*i/(i*i**(-1/7))*i*i)/i*i)*i*i**(1/22)*i assuming i is positive. i**(-2477/924) Simplify (n**(-2)/(n*n**(-1)))/(n*n*n/(n/(n**(-2/7)*n)))**(-2/17) assuming n is positive. n**(-200/119) Simplify (x*x**(2/11))/(x*x/(x*x/(x**6/x)))*x**(-2/15)*x*x**(-2/9) assuming x is positive. x**(-1571/495) Simplify (y*(y/(y/y**(4/9)))/y*y)/(y*(y*y**(-14/3))/y*y)*y*y**(-3/23)*y*y**(-1/38)/y*y*y assuming y is positive. y**(54703/7866) Simplify (r*r*r*r**9*r**(-3))/((r*(r/(r*(r**(1/6)/r)/r))/r)/(r**(-27)*r*r)) assuming r is positive. r**(-107/6) Simplify t**15/t**(7/3)*(t*t**7*t)/t**(-1) assuming t is positive. t**(68/3) Simplify (((x/x**(2/11))/((x**6/x)/x))/(x**0/(x**(-2/5)*x)))**23 assuming x is positive. x**(-3266/55) Simplify ((o*o/(o**(-1)*o))/(o/o**(-7/5)*o)*o/(o*o/(o*(o*o**(-6))/o*o))*o/(o*(o/((o*o**10)/o*o*o))/o*o))**(11/3) assuming o is positive. o**(253/15) Simplify ((g**(8/3)*(g*g*g*g**2/g*g*g*g*g)/g)/(g*g/g**7*g**(-1/11)))**(1/4) assuming g is positive. g**(487/132) Simplify (((n/(n/(n*n/n**(-25))))/n*n)/(n*n**(-31)))/(n*n**14*n)**48 assuming n is positive. n**(-711) Simplify (((s/((s/(s**(1/6)/s))/s)*s)/s*s**0)/(s**(-1)*s/((s*s**(1/2))/s)))**(-40) assuming s is positive. s**(-80/3) Simplify l/l**(2/11)*l*(l**(-26)/l)/l*l*l**25*l/(l**(1/20)*l) assuming l is positive. l**(-51/220) Simplify u**(-7)*u**(4/5)*u/(u**(-8)/u)*u*u**(-5) assuming u is positive. u**(-1/5) Simplify (((j/j**(-2/47)*j)/j*j)/(j**12/j))/(((j*j/(j**(-13)/j))/j)/((j*j*j/(j/(j/(j*j**9)*j))*j)/j)) assuming j is positive. j**(-1408/47) Simplify (q**37*q)/(q**(-23)/q)*q**(-7)/q**(19/5) assuming q is positive. q**(256/5) Simplify l*l**(-14/5)*l*l/(l**(-1/3)*l)*l*l*(l/(l/l**(-2/19)))/l*l**1 assuming l is positive. l**(407/285) Simplify (m**(4/3)/m)**(-2/15)*((m/((m*m**(-15))/m))/m)/(m/(m**(4/3)/m)*m) assuming m is positive. m**(598/45) Simplify ((m*m/m**(-1/12))/m)/m*m**(3/22)/m*(m*m**(1/15))**(-10) assuming m is positive. m**(-1511/132) Simplify (g**(-9)/g*g**(-5/6)*g)/(g**(-2/7)/(g**(-2/3)/g*g)) assuming g is positive. g**(-143/14) Simplify (u/(u/(u**(-1)/u))*u/((u**12*u)/u)*(u**(-1)/u)**1)**(-46) assuming u is positive. u**690 Simplify (y**1/y**(-2/29))/((y*(y/(y*y**(-1/4)))/y*y)/y)**0 assuming y is positive. y**(31/29) Simplify (o*(o**(3/8)*o)/o*o*o*o/(o/(o*o*o/(o*o*o*o*o*o**(-21/5)*o))))**(-25) assuming o is positive. o**(-915/8) Simplify (j**(-4)*j**(-6/7))/(j**(-6))**(5/6) assuming j is positive. j**(1/7) Simplify ((c**(-7)*c)/(c/(c*c/(c/c**(-14))*c*c)))**(-36) assuming c is positive. c**648 Simplify (((f*f**(-1/4))/f**(1/8))/(f/(f*f/(f/(f*(f*f*f**(-1/4))/f)))*f**5/f*f))**(-6) assuming f is positive. f**(63/4) Simplify (p**(-9)/(p*p/((p**(-1/2)*p*p)/p*p)*p))/(p**1)**(-2/5) assuming p is positive. p**(-101/10) Simplify (b**10/b**5)/(b/b**(-17))**(-24/5) assuming b is positive. b**(457/5) Simplify j/(j**(4/11)/j)*j*j**4/j*j**(-27)/j*j*(j*j**(-33))/j assuming j is positive. j**(-598/11) Simplify (d**7*d*d/((d/(d/(d/(d*d**(-2/21)))))/d*d))/(d/((d/(d*(d*d/(d/d**(-9)))/d))/d)*(d*d**(-6)*d)/d) assuming d is positive. d**(439/21) Simplify (((a/a**(-22))/a)**43)**(-37) assuming a is positive. a**(-35002) Simplify (i/(i*i**(-5)))/i*i**(-1/13)*i/i**3*i*i*i*i**(-10) assuming i is positive. i**(-66/13) Simplify (d**(1/12)/(((d**(4/9)/d)/d)/d*d))/(d**10*d**(-1/6)*d) assuming d is positive. d**(-331/36) Simplify (h**(-9)*h/(h/((h/(h**2*h)*h)/h*h))*h*(h*h**(2/9))/h*h*h**(-9))**(-3/4) assuming h is positive. h**(151/12) Simplify b**(-22)/b*(b*b*b**(-2/61))/b*(b**16/b)/(b**13*b) assuming b is positive. b**(-1283/61) Simplify h*h**10*h/(h**(12/7)/h)*(h/(h**(-7)/h))/(h*h*h**(-12)/h*h) assuming h is positive. h**(212/7) Simplify (w**(1/7))**(3/14)*w*w**(5/2)*(w/(w**(1/3)*w))/w assuming w is positive. w**(323/147) Simplify f**15/f**(1/5)*(f*(f*f**(-2)/f*f)/f)**(11/2) assuming f is positive. f**(93/10) Simplify (((g/g**11)/g*g)/(g**(-35)/g))**(-3/7) assuming g is positive. g**(-78/7) Simplify (o*o*o**(-4/5))/(o/o**(-2/13))*(o*o/((o**3/o)/o)*o)**(-16) assuming o is positive. o**(-2077/65) Simplify (s*s**16/s)**23/(s**(-1)*s)**38 assuming s is positive. s**368 Simplify ((k*(k/k**(-8/5))/k)/k**(1/9))**(8/5) assuming k is positive. k**(896/225) Simplify (q**1/q**(-19/5))/(q**(-2/29)/(q/(q**(-3)/q*q)*q)) assuming q is positive. q**(1431/145) Simplify ((o**(-12/13)*o*o)/(o/(o/(o**(1/58)/o)*o)))**(6/13) assuming o is positive. o**(6921/4901) Simplify h**(-2/5)/(h/(h**(-12)/h))*h/h**10*h**(-2/3)/h assuming h is positive. h**(-376/15) Simplify ((c**(-1/2)/c**(-3/4))**(-29))**(-1/6) assuming c is positive. c**(29/24) Simplify ((t**6/t*((t*t**(-2))/t)/t)/(t*((t**(2/7)/t)/t*t)/t)**(1/21))**(-32) assuming t is positive. t**(-9568/147) Simplify (((h**(-1/7)/h)**(-27))**(-4/15))**(-33/4) assuming h is positive. h**(2376/35) Simplify (w**(-13)*(w**7*w)/w)/(w*w/(w/w**3)*w**(-6)) assuming w is positive. w**(-4) Simplify ((y**(-9/8)/y)/(y*y*y**(3/7)))**(-24) assuming y is positive. y**(765/7) Simplify (b/(b**(-7/3)/b)*b/b**(-2/97))/(b**(2/13))**(-39) assuming b is positive. b**(3304/291) Simplify ((n/(n*n*n/(n**(2/11)/n))*n**(3/11))/(n*n*n**(-1/3))**10)**7 assuming n is positive. n**(-4438/33) Simplify ((j/(j/(j*(j**(-2/7)*j)/j)))/j*j)**10/(j**(-6)/j**(3/7)) assuming j is positive. j**(95/7) Simplify (((g**2/g)/g)**44/(g/(g*g*g**(-1))*g)**(-2/49))**(-2/23) assuming g is positive. g**(-4/1127) Simplify ((z**14/z)/z*z/z**(-6)*z)/(z**(-2/3))**(-1/3) assuming z is positive. z**(178/9) Simplify (t*(t/(t*t/(t**(1/9)*t*t)))/t*t*t)/(t**5/t)*t**(-8)/t**(-1/19) assuming t is positive. t**(-1511/171) Simplify ((p*p**(1/3)*p*p*p**(-4/3)*p*p)/(p**(1/4)*p)**(5/12))**(-30) assuming p is positive. p**(-835/8) Simplify ((m**21/m)**24)**8 assuming m is positive. m**3840 Simplify (v**(-6)*v)/v*v**(-3)*(v*v**(10/3))/v**17 assuming v is positive. v**(-65/3) Simplify (m/((m**(-19)/m)/m))/(m*m**(15/8))*(m**(4/3)/m)/(m/m**13) assuming m is positive. m**(755/24) Simplify (x**(2/9))**(-4)/(x**(1/3))**23 assuming x is positive. x**(-77/9) Simplify (n**4/n)**(-31)/((n*n**(-2/9))/n*n**(1/9)*n) assuming n is positive. n**(-845/9) Simplify ((((y**(-7)/y)/y)/y**(-1/2))**(-12))**35 assuming y is positive. y**3570 Simplify ((i**0*i)**20/(i**7*i**6))**(2/25) assuming i is positive. i**(14/25) Simplify (r/(r/r**25))/(r**17/r)*((r/(r*r**5*r)*r)/r)**20 assuming r is positive. r**(-111) Simplify (o**(-1/5))**(5/6)*(o**(-1/4))**(-13/5) assuming o is positive. o**(29/60) Simplify ((w*w/((w/(w/(w/(w/(w*w**(-4/3))*w))))/w))/(w**(-18)/w*w))/((w/(w/(w*w**(-6)*w)))/(w**(1/2)*w)) assuming w is positive. w**(167/6) Simplify b*b*b/(b*b**(-1/2)*b)*b/(b*(b*b**(-2)*b)/b)*b**6/((b*b/((b*b/((b*b/b**(1/3))/b))/b)*b)/b*b) assuming b is positive. b**(35/6) Simplify b**13*b**(-3/2)*(b/(b**4*b))/b*(b/b**(1/10))/b assuming b is positive. b**(32/5) Simplify (m*m*m*m/m**4)**(-28)*(m*m**(-1/7)*m)**(-3/11) assuming m is positive. m**(-39/77) Simplify (y*y/((y/y**(-3))/y))**(-3/7)*(y*y/(y/(y/(y*y**(2/7)/y*y)))*y)**(-1/12) assuming y is positive. y**(2/7) Simplify ((q/(q**28/q))/(q*q/((q/(q**11*q))/q)*q))**(-42) assuming q is positive. q**1722 Simplify u**(-7)/u**(4/13)*u/(u/(u*u**(-11)*u))*u*u*(u**3*u)/u*u assuming u is positive. u**(-134/13) Simplify (y/y**(3/7))**(2/93)*(y/y**(-5))**6 assuming y is positive. y**(23444/651) Simplify (((f/(f*f**(-5)*f))/f**0)/(f**(-1)*f/(f**(-2/3)/f)))**12 assuming f is positive. f**28 Simplify (f/(f/(f*(f/(f**(-11/7)*f))/f)))**(2/59)*(f*f**30/f)**(-20) assuming f is positive. f**(-247778/413) Simplify ((i**(-2/29)/i)/i**(4/11
{ "pile_set_name": "DM Mathematics" }
he smallest value? (a) -445 (b) 396 (c) -0.25 (d) -0.1 (e) -0.2 (f) -4 a What is the fifth biggest value in -4/7, 4, 2/7, 356, -30/19, 27, -2? -4/7 What is the smallest value in 5/6, 6, -9, 64/3, -289? -289 Which is the third smallest value? (a) 29377/14 (b) 0.1 (c) -0.14 a Which is the fourth biggest value? (a) -2/49 (b) 4/11 (c) 1 (d) 0.05 (e) 18.1 d Which is the fourth smallest value? (a) 1 (b) -0.51 (c) -4314 (d) 0 (e) -1/8 d Which is the fourth smallest value? (a) 0.2 (b) 0.2609 (c) 39 (d) 5 c Which is the fifth biggest value? (a) -3 (b) -5 (c) 1.11 (d) 61/2 (e) 2 (f) 5 (g) 1 g What is the fourth biggest value in -3, 2, -8/11, -21, 0, 6, -2/7? -2/7 Which is the biggest value? (a) 4/5 (b) 2.91 (c) -85 (d) 0.4 (e) -4 (f) -1 (g) 0.5 b What is the sixth biggest value in -0.3, 2/3, -0.4, 1/8, -16.87, 19.44? -16.87 What is the sixth smallest value in -1/5, -4, -2/13, 2/279, 1/5, 5, 1/16? 1/5 What is the fourth biggest value in 87, 3/617, 5, -16? -16 Which is the biggest value? (a) 910 (b) -0.4 (c) -67.9 (d) 2/11 a What is the second biggest value in -4, -21, 22, 1, -1/26, -5, -2/21? 1 What is the third biggest value in 0, 5, 9/52, 112, -0.02? 9/52 What is the third biggest value in 0, -333.62, -1, 3, -0.5? -0.5 Which is the fifth smallest value? (a) 1 (b) 14521 (c) 2/3 (d) -0.1 (e) -0.2 b Which is the fifth biggest value? (a) 814 (b) -3/4 (c) 3/4 (d) -1.6 (e) 5 (f) -38 d What is the smallest value in -9, 234, 4/3, -2, -6.31, -8/5? -9 What is the second biggest value in -4/3, -1/338, 4, -2/3, 5, -2, -4? 4 What is the third smallest value in -2/415, -1718/9, 1/3? 1/3 What is the third biggest value in 6, -2/5, 5, -29, 5.44? 5 Which is the third biggest value? (a) 3/4 (b) -2 (c) -13 (d) -4 (e) 1/2 (f) -432 b What is the third biggest value in -1513.95, -11, -0.2, 4? -11 Which is the third smallest value? (a) -992/11 (b) -2/9 (c) -0.3 (d) 0.032 (e) -0.09 b What is the fourth smallest value in -14, -3437, -13, -0.3, 3? -0.3 Which is the second smallest value? (a) 1/6 (b) 1/14529 (c) -3 (d) 1/2 (e) -1.1 e Which is the fifth biggest value? (a) 2/3 (b) 6.4 (c) -4/3 (d) -0.1 (e) -13 (f) -0.04 (g) -0.5 g Which is the fourth smallest value? (a) -0.5 (b) 0.4 (c) -8471721 (d) 0 (e) -1 d Which is the second smallest value? (a) -10 (b) 3/4 (c) 36 (d) -32.2 (e) -1 a Which is the smallest value? (a) -0.023372 (b) -0.019 (c) 1 a What is the smallest value in -1, 1, -34840, 1/955? -34840 What is the third smallest value in -0.02673, 29.3, -1.54? 29.3 What is the biggest value in 2/13, -43698, -4, -3/7, 0.03, 0.5? 0.5 What is the second smallest value in 15, -3, 0.17, -4, 0.2, 0? -3 Which is the third smallest value? (a) 23/4 (b) 0 (c) -1407.45 a Which is the second biggest value? (a) -1 (b) -1/4 (c) 2/9 (d) 3/1304 (e) -3 (f) 2 (g) 0.3 g Which is the fifth biggest value? (a) 5 (b) 4 (c) 0.3 (d) 2965 (e) -1/6 (f) -1/3 e Which is the fifth smallest value? (a) -0.5 (b) 7 (c) -1/69 (d) -31 (e) 2 (f) -3.3 (g) -0.4 c Which is the third smallest value? (a) -34 (b) -65 (c) -1392 a Which is the second smallest value? (a) 3/7 (b) 2 (c) 629.226 b What is the second biggest value in 8/3, -1554, 7016, 4? 4 What is the fourth biggest value in 729/5, 2/3, -0.4, -68, 5/9? -0.4 Which is the second biggest value? (a) -2/3 (b) -0.1 (c) -15350 (d) 16 (e) 0.1 e What is the second biggest value in 41, 66/7, 2/919, -4/7? 66/7 What is the fourth biggest value in -0.05, -1, -1/2, -379980? -379980 What is the smallest value in 24, -1, 1/4, 4, 0.283, 1, -3/8? -1 What is the third smallest value in -6, 963, 2, -0.04? 2 Which is the third biggest value? (a) -6 (b) -0.5 (c) 0.08 (d) -1580 (e) 4 (f) 0.3 (g) 0.1 g What is the biggest value in 88, 4, 1735, -1/5, 0.4, -5? 1735 What is the third biggest value in -0.2, -6, 0.49, -3688? -6 What is the fourth smallest value in -2/21, -3, 92, 3/8, -0.3, 3? 3/8 What is the seventh biggest value in -9, -2, 71/5, -4, 1/11, -0.3, -49? -49 What is the third biggest value in -1/4, -2/7, 3, 42355? -1/4 Which is the second biggest value? (a) 6 (b) -6/517 (c) -2/3 (d) 25 (e) -2/13 a Which is the third biggest value? (a) 31 (b) -909 (c) 15 b What is the fourth smallest value in 3, 0.048, -566234, -0.4, 1/4? 1/4 What is the biggest value in 3/8, 516, -2? 516 Which is the biggest value? (a) 15 (b) 19 (c) -780 (d) -0.7 b What is the biggest value in -526, -40, 5, -16.9? 5 What is the second biggest value in 8, -40, 212, -46, 0.4, 4/3? 8 Which is the second smallest value? (a) 5 (b) -1 (c) 2/9 (d) 3/5 (e) 2/29 (f) 4 e What is the smallest value in 118, 2, 1.43207? 1.43207 Which is the smallest value? (a) -0.3 (b) -4 (c) -229747.4 c What is the smallest value in 10/9, -2, 96881, 8? -2 What is the fifth biggest value in -1, -4, 3, 1.4189, -3, -2? -3 What is the second biggest value in 9, 3/4, 1.56, -33059? 1.56 What is the second biggest value in 721649, -1/4, -2/37? -2/37 What is the fifth biggest value in -772708, 1, -1, 3/11, 0.9? -772708 Which is the third smallest value? (a) 1/3 (b) 3 (c) 0 (d) 5 (e) 258192 (f) -0.2 a Which is the third biggest value? (a) 1/3 (b) 2 (c) -14 (d) 61106 (e) 2/15 a Which is the sixth smallest value? (a) -4.1 (b) -9 (c) 1/4 (d) 0.3 (e) -3/8 (f) 84 (g) -1 d Which is the second smallest value? (a) 1/15 (b) -1 (c) -246 (d) -1/9 (e) 29 b What is the sixth smallest value in 5, 0.3, -1, -141, -0.61, 2/15? 5 Which is the fourth biggest value? (a) 2 (b) -1 (c) 20 (d) -5/6 (e) -546 (f) 0.5 (g) 690 f Which is the smallest value? (a) -13 (b) 0.3 (c) -1.03 (d) -0.2 (e) 4/11 a Which is the third smallest value? (a) 0.06 (b) -2/9 (c) 0.5 (d) -2/5 (e) 91.43 (f) -5 b Which is the third smallest value? (a) 52 (b) 16 (c) 2905 (d) -3 a Which is the sixth smallest value? (a) 120 (b) 13 (c) -0.16 (d) 5 (e) -5 (f) -1/19 a What is the second smallest value in -1/213945, -31.9, 1? -1/213945 What is the smallest value in -0.5, 9477295, 0? -0.5 Which is the third biggest value? (a) 15 (b) -2.154908 (c) -0.3 b What is the biggest value in -13, 36364, 0.3, 101? 36364 Which is the sixth biggest value? (a) -0.2 (b) -10822 (c) 3/4 (d) 0.34 (e) 1/3 (f) 4 (g) 12 a Which is the third smallest value? (a) 3/8 (b) 66751 (c) 4 (d) -2 c Which is the biggest value? (a) -11 (b) -3/7 (c) 1 (d) 6/17 (e) -5 (f) -4 (g) 2/237 c What is the sixth smallest value in 3/7, -1, 2762, -1183, 1/3, 0.5? 2762 What is the third biggest value in 1041, 1.0028, 0.4? 0.4 Which is the third smallest value? (a) 25 (b) -9 (c) -2/25 (d) 2/7 (e) -2/5 (f) 0 (g) -1/8 g Which is the fifth biggest value? (a) -3 (b) -1831 (c) 243 (d) -0.2 (e) 2.1 b What is the second smallest value in 11924, -5, -13/64? -13/64 What is the third biggest value in 19, 5.8, 5/6, 3, 26? 5.8 Which is the biggest value? (a) -0.08 (b) -3 (c) 38 (d) -189 (e) 1/25 (f) 2 c What is the fourth biggest value in -64, -4, 5, -1447, -2/7? -64 Which is the second biggest value? (a) 1/3 (b) -6 (c) -0.6 (d) 8000 (e) -2.2 a Which is the fifth biggest value? (a) -2.176 (b) -3 (c) -1/7 (d) -37 (e) 2 d What is the fourth smallest value in -0.5, 2/11, 25, 1/7, -0.1, 3, 2414? 2/11 Which is the third smallest value? (a) 186 (b) -1/357 (c) -107 a What is the second smallest value in 65, 2459/30, -5? 65 What is the second biggest value in -5, 3/17, 2, -1.46374? 3/17 What is the second smallest value in -378, -1.3, 2, -1/23, -3? -3 What is the sixth smallest value in 63, -2/9, -72, -0.2, -2/5, 33? 63 What is the third biggest value in 0, -1089, 4, 11? 0 What is the second biggest value in 1, 23762/9, 2/5? 1 Which is the second smallest value? (a) 97 (b) -0.0872 (c) -29 (d) -4 (e) -3/7 (f) -0.2 d Which is the fifth smallest value? (a) 4 (b) 0.75 (c) 3 (d) 2/53 (e) -1/4 (f) 2/19 c Which is the third biggest value? (a) 3 (b) 2/5979 (c) 19 (d) 4 (e) 1/3 a What is the fourth smallest value in 85, -3.2, -0.24278, 2? 85 What is the smallest value in 0.04, -1/3, -2/7, 8, -711? -711 Which is the third biggest value? (a) 111 (b) -2/13 (c) 3 (d) 12728 c Which is the smallest value? (a) 1
{ "pile_set_name": "DM Mathematics" }
fjj. Give prob of picking 2 j, 1 i, and 1 k. 4/65 Calculate prob of picking 2 q and 1 i when three letters picked without replacement from iiiiqq. 1/5 Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, j: 9, f: 7}. 1/153 What is prob of picking 2 d when two letters picked without replacement from vvdvddndvdddvvhdd? 9/34 Calculate prob of picking 1 a and 1 d when two letters picked without replacement from aaahddadaadaaadaa. 55/136 What is prob of picking 3 m when three letters picked without replacement from nnmmnmmmmmmm? 21/55 Calculate prob of picking 2 b when two letters picked without replacement from {b: 13, x: 6}. 26/57 Three letters picked without replacement from {f: 2, d: 6, c: 6, n: 3, r: 1}. What is prob of picking 1 n, 1 r, and 1 d? 3/136 What is prob of picking 1 o and 1 e when two letters picked without replacement from {u: 4, o: 1, e: 6, n: 4}? 2/35 Calculate prob of picking 1 k and 1 j when two letters picked without replacement from huukucuckcukjck. 4/105 Four letters picked without replacement from {b: 4, o: 1, v: 6, t: 5, d: 4}. What is prob of picking 1 d, 2 t, and 1 o? 8/969 Two letters picked without replacement from {i: 1, f: 2, a: 1, l: 2, j: 1, x: 2}. Give prob of picking 1 a and 1 j. 1/36 What is prob of picking 2 x when two letters picked without replacement from xxxvl? 3/10 What is prob of picking 1 k and 1 y when two letters picked without replacement from {a: 3, k: 1, q: 1, y: 10}? 2/21 Four letters picked without replacement from {n: 3, m: 7}. Give prob of picking 2 m and 2 n. 3/10 Two letters picked without replacement from {t: 2, g: 2, v: 1, k: 1}. What is prob of picking 1 v and 1 t? 2/15 Two letters picked without replacement from {f: 2, q: 1}. Give prob of picking 1 f and 1 q. 2/3 Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {s: 3, k: 8}. 24/55 Calculate prob of picking 2 g when two letters picked without replacement from gppgpp. 1/15 Two letters picked without replacement from {a: 2, z: 9, x: 2, u: 2, y: 1, r: 4}. What is prob of picking 1 r and 1 z? 18/95 Four letters picked without replacement from {q: 3, a: 1, f: 3, n: 1, c: 2, s: 5}. What is prob of picking 2 c and 2 a? 0 Two letters picked without replacement from jwjtjjqwjjjjj. Give prob of picking 2 j. 6/13 Three letters picked without replacement from tdtddddttddtdd. Give prob of picking 1 t and 2 d. 45/91 Four letters picked without replacement from abbxbrraxbbxbrtatana. Give prob of picking 1 t, 1 x, and 2 b. 6/323 Calculate prob of picking 1 v, 1 u, and 2 g when four letters picked without replacement from egglgeuvgl. 1/35 Two letters picked without replacement from daeadzzaadazzeayapd. What is prob of picking 1 a and 1 p? 7/171 Four letters picked without replacement from ppppjpjpp. What is prob of picking 2 j and 2 p? 1/6 Four letters picked without replacement from {k: 3, f: 7}. What is prob of picking 1 k and 3 f? 1/2 Two letters picked without replacement from xcxbxcxxxxxdxdkdx. Give prob of picking 1 c and 1 x. 5/34 Four letters picked without replacement from {b: 5, s: 4, g: 1, x: 2, h: 2}. What is prob of picking 1 s, 1 h, and 2 b? 80/1001 What is prob of picking 1 c and 1 x when two letters picked without replacement from {b: 4, x: 3, c: 1, n: 2}? 1/15 What is prob of picking 2 s, 1 c, and 1 a when four letters picked without replacement from {a: 5, s: 3, d: 3, c: 1}? 1/33 What is prob of picking 1 r and 2 k when three letters picked without replacement from urrrkrrrrukrrrgprr? 1/68 Four letters picked without replacement from {k: 4, e: 1, f: 1, b: 3, l: 2}. Give prob of picking 3 b and 1 k. 2/165 What is prob of picking 3 f when three letters picked without replacement from {v: 9, f: 9}? 7/68 What is prob of picking 1 k and 1 o when two letters picked without replacement from {o: 1, t: 1, d: 1, k: 2}? 1/5 Three letters picked without replacement from {h: 7, d: 5}. What is prob of picking 1 d and 2 h? 21/44 Two letters picked without replacement from {r: 2, q: 1, k: 1, m: 1, x: 1, s: 1}. Give prob of picking 1 k and 1 q. 1/21 Two letters picked without replacement from guonuongueuueuoouuo. What is prob of picking 1 o and 1 u? 40/171 Two letters picked without replacement from {k: 4, z: 4, s: 3, h: 3, w: 1, n: 5}. What is prob of picking 1 w and 1 z? 2/95 Calculate prob of picking 2 b, 1 e, and 1 q when four letters picked without replacement from bfbqcfmfceeecebqb. 12/595 Calculate prob of picking 1 u and 1 c when two letters picked without replacement from aakcuccccddc. 1/11 Two letters picked without replacement from {b: 3}. What is prob of picking 2 b? 1 Two letters picked without replacement from esezaauueuewe. Give prob of picking 2 a. 1/78 Calculate prob of picking 2 w when two letters picked without replacement from wwwwwwwwwwwbwww. 13/15 Three letters picked without replacement from booboobooob. Give prob of picking 3 o. 7/33 Four letters picked without replacement from {x: 7, t: 12}. Give prob of picking 4 x. 35/3876 Two letters picked without replacement from {k: 2, g: 3}. What is prob of picking 1 g and 1 k? 3/5 Calculate prob of picking 1 s, 1 l, and 1 b when three letters picked without replacement from bslllllllsblll. 10/91 Three letters picked without replacement from dkxxff. Give prob of picking 2 x and 1 d. 1/20 Three letters picked without replacement from nbwbbcwacwbnnwbbwbba. Give prob of picking 3 w. 1/114 What is prob of picking 1 j and 1 v when two letters picked without replacement from hvthjrhruhvjrjhhrj? 8/153 Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, b: 4, j: 3, k: 6}. 1/105 Calculate prob of picking 4 y when four letters picked without replacement from {y: 8, k: 5}. 14/143 Calculate prob of picking 2 p and 1 t when three letters picked without replacement from tuttcpjutcupuspcc. 3/170 Calculate prob of picking 3 j and 1 o when four letters picked without replacement from jjjojjjo. 4/7 Calculate prob of picking 1 q and 1 g when two letters picked without replacement from aevqzagzqvevqz. 3/91 What is prob of picking 1 h and 1 w when two letters picked without replacement from lhbazzw? 1/21 Three letters picked without replacement from cpsmsp. Give prob of picking 1 m, 1 c, and 1 s. 1/10 Calculate prob of picking 1 r, 1 f, and 1 t when three letters picked without replacement from {t: 1, m: 1, r: 1, u: 2, f: 1, y: 1}. 1/35 Calculate prob of picking 1 e and 2 o when three letters picked without replacement from {m: 2, e: 1, t: 6, r: 4, o: 2}. 1/455 What is prob of picking 2 o when two letters picked without replacement from wwwwwowwwwwwwwwwwow? 1/171 What is prob of picking 1 s and 1 j when two letters picked without replacement from sdhjjjjdjhnjbjj? 8/105 Three letters picked without replacement from fbfbfbb. What is prob of picking 1 b and 2 f? 12/35 What is prob of picking 1 q and 1 d when two letters picked without replacement from {l: 2, o: 1, u: 1, d: 1, q: 2}? 2/21 Three letters picked without replacement from hhzhhzh. Give prob of picking 2 h and 1 z. 4/7 Two letters picked without replacement from {m: 7, k: 1}. What is prob of picking 2 m? 3/4 What is prob of picking 1 z and 1 k when two letters picked without replacement from {k: 7, z: 4, d: 2}? 14/39 What is prob of picking 1 v and 3 t when four letters picked without replacement from {t: 4, v: 2}? 8/15 Three letters picked without replacement from {f: 4, t: 2, b: 2, w: 1, k: 1}. Give prob of picking 1 k and 2 t. 1/120 Two letters picked without replacement from xvvpxvvvvvpv. Give prob of picking 1 x and 1 v. 8/33 What is prob of picking 2 k and 1 s when three letters picked without replacement from {s: 2, k: 10}? 9/22 Two letters picked without replacement from {e: 1, m: 3, r: 3, l: 2, i: 1}. What is prob of picking 2 m? 1/15 Two letters picked without replacement from ggggxxx. Give prob of picking 1 x and 1 g. 4/7 Four letters picked without replacement from qqucqucmpuutqcp. What is prob of picking 2 c and 2 q? 6/455 What is prob of picking 1 y and 1 i when two letters picked without replacement from ydinqpy? 2/21 What is prob of picking 1 o, 1 h, and 2 d when four letters picked without replacement from {d: 2, h: 1, o: 2, v: 1
{ "pile_set_name": "DM Mathematics" }
9 + 1173 for r. -34 Solve 26026*u = 51952*u - 25988*u + 2976 for u. 48 Solve -96 = -24*s + 117*s - 2700 for s. 28 Solve -646*u + 21544 - 2833 + 12943 = 0 for u. 49 Solve 624*a + 44007 = -231*a - 44089 + 11146 for a. -90 Solve 33452 = -15*c + 33152 for c. -20 Solve -1353865*y + 4278 = -1353803*y for y. 69 Solve 801 = 139*i - 7*i - 12795 for i. 103 Solve -485*f - 398*f = -447*f + 530*f + 6762 for f. -7 Solve 183*q = -177*q - 2698 - 2868 - 9914 for q. -43 Solve -1221*z + 4648*z - 77187 - 74337 = 67804 for z. 64 Solve 133824 = -4118*p + 6742*p for p. 51 Solve -299*r - 4049 - 3024 = -188*r + 1585 for r. -78 Solve 357*y + 4135 - 438 = -8441 for y. -34 Solve -372 - 1026 - 2466 = -84*u for u. 46 Solve 669*t + 31521 = -4147 - 8486 for t. -66 Solve 3716*m + 44751 + 33547 = 1329*m - 41052 for m. -50 Solve 0 = 170*v - 1380 - 1000 for v. 14 Solve -9662*u + 477229 = -45*u + 14335*u - 1271267 for u. 73 Solve -368*v - 318*v + 8245 = 43917 for v. -52 Solve -40204*h + 39323*h = -17620 for h. 20 Solve -1955 = -30*j + 34*j + 111*j for j. -17 Solve -50*a + 33 + 137 = -30 for a. 4 Solve -259*s - 3299 = 9*s + 3401 for s. -25 Solve -1162*h - 103*h + 4722 - 4010 = -11938 for h. 10 Solve 36 = 28*i + 10*i + 144 + 310 for i. -11 Solve -1565221 + 1560013 = 62*k for k. -84 Solve 254*m - 42*m - 136*m = -1824 for m. -24 Solve 5094*q - 173439 = 106731 for q. 55 Solve -1640 = 50*v - 3074 + 734 for v. 14 Solve 274*c = 22695 - 8447 for c. 52 Solve -533 = 62*s - 4806 - 563 for s. 78 Solve -85661*j + 2280 = -85541*j for j. 19 Solve 189*c + 48 = -117 + 50 - 74 for c. -1 Solve 0 = 5973*m + 74893 - 31847 + 285469 for m. -55 Solve 0 = -21*p - 79*p + 29*p - 89*p + 3520 for p. 22 Solve 565*u - 611*u = 213*u - 518 for u. 2 Solve 1649*u + 280 = 1719*u for u. 4 Solve 135*j + 2012 = -78*j - 292 + 20409 for j. 85 Solve 119*y - 8*y - 14520 - 8548 = -205*y for y. 73 Solve -76*k - 81*k - 59 = 138 - 40 for k. -1 Solve -5*o + 505 = 79*o - 145 + 146 for o. 6 Solve 0 = -608*s + 1603*s + 28855 for s. -29 Solve 221*k = 30326 - 9331 for k. 95 Solve -285*q + 2239 - 10219 = 0 for q. -28 Solve -135585 + 135685 = 5*l for l. 20 Solve 0 = -1132*q + 2274*q - 1390*q + 2976 for q. 12 Solve -100*w = -12639251 + 12631051 for w. 82 Solve -25157*q + 26437*q = 67840 for q. 53 Solve 30*d - 20370 = -476*d - 173*d for d. 30 Solve 2102*k = 7635*k - 315381 for k. 57 Solve 1811*t + 41838 - 28656 = -50039 - 56305 for t. -66 Solve -654*y + 28032 = 261*y - 39*y for y. 32 Solve -2255*t = 6163 + 1867 + 23540 for t. -14 Solve 5741 = -1025*r - 2817 - 15017 for r. -23 Solve -33*r + 0*r - 259 = -1150 for r. 27 Solve 414*d + 22241 + 12895 + 15372 = 0 for d. -122 Solve 13990*t = 13714*t - 4416 for t. -16 Solve 0 = -71*u - 26*u - 4*u - 2951 + 3254 for u. 3 Solve -56*z + 765 - 1654 = -161 for z. -13 Solve 131207 = -1163*z + 43982 for z. -75 Solve 94*k + 20*k = -23271 + 27945 for k. 41 Solve 93*x + 791 - 43083 - 15812 = 2245*x for x. -27 Solve 2267*r - 63824 = -179441 for r. -51 Solve 311429 = 6718*w + 3267*w - 126029 - 141672 for w. 58 Solve 1063*y = -16620 - 23774 for y. -38 Solve -61*j + 8271 - 5221 = 0 for j. 50 Solve 10037*o - 593*o + 200836 = -2612*o - 1282052 for o. -123 Solve -10538*v + 5339*v = -5318*v - 11305 for v. -95 Solve 1267*r + 1890 = 649*r + 528*r for r. -21 Solve -27814*k = -28313*k + 8483 for k. 17 Solve -348 - 212 + 1592 = 122*b - 4214 for b. 43 Solve -565*l + 2027 = -2*l + 456 - 17571 for l. 34 Solve 31110 + 56874 = 3126*h - 682*h for h. 36 Solve -642*s = -1185*s + 15204 for s. 28 Solve -3434 = 622*z - 15874 for z. 20 Solve -39224*b + 39696*b - 11328 = 0 for b. 24 Solve -2984*a = 223028 + 3756 for a. -76 Solve -9185*x - 324482 = -887055 - 677402 for x. 135 Solve 786 + 355 = 375*g - 1109 for g. 6 Solve -8*c + 99416 = 99776 for c. -45 Solve 0 = -52*l + 1252 - 68 + 1104 for l. 44 Solve -22*g - 38*g + 184 = -51*g + 37*g for g. 4 Solve 4722*d - 4500*d = 9990 for d. 45 Solve 2353*k - 343*k + 197125 = -365*k for k. -83 Solve -1930*p + 175*p + 13025 + 11615 = 5*p for p. 14 Solve 70 + 1823 + 2115 = 179*w - 2973 for w. 39 Solve -3027*z - 223737 - 67840 - 51871 = 56116 for z. -132 Solve 0 = -3401891*k + 3399655*k - 4472 for k. -2 Solve 817*a - 3601*a - 103685 - 129103 = 3342*a for a. -38 Solve 198 = 48*c + 248 - 146 for c. 2 Solve 56017*n = 55654*n - 13166 + 37487 for n. 67 Solve 404*v + 2197*v - 54045 = 18144 + 44856 for v. 45 Solve 159*g - 1432*g - 455*g = -10368 for g. 6 Solve 50804*k + 161 = 50769*k + 791 for k. 18 Solve 283*v = -487*v + 23100 for v. 30 Solve -65 + 77 = -5*j - 9*j - 324 for j. -24 Solve -792*i + 2754 - 7440 = 12738 for i. -22 Solve -81*j - 1512251 = -1513790 for j. 19 Solve 352*c - 13972 - 11309 = 1290 - 5803 for c. 59 Solve 9349*s + 8752*s + 2389010 = -276*s for s. -130 Solve -1552*r - 708*r - 17547 - 83053 = 2770*r for r. -20 Solve 1538*u + 2660 = -3161*u - 60359 - 40359 for u. -22 Solve 1304 + 3019 - 1080 = -107*h - 1465 for h. -44 Solve -59*a = 48066 - 44880 for a. -54 Solve 31*l = 2043 - 710 for l. 43 Solve -7067*u - 17130*u + 107232 = -7527*u + 2374352 for u. -136 Solve -1222*j - 24924 = -17915 + 29651 for j. -30 Solve -4681 = 489*y - 7671 - 4834 for y. 16 Solve -224*g - 1442*g = 1230*g - 721*g - 200100 for g. 92 Solve -553*r + 25353 = 636*r - 7652 - 38335 for r. 60 Solve 2067*z = 1907*z - 6240 for z. -39 Solve 649*v - 313*v - 18330 = -369*v for v. 26 Solve -5395*w + 23507 = 2313*w - 2599*w - 405649 for w. 84 Solve -12861 = 253*f + 11427 for f. -96 Solve -1171*o + 3043*o = -3512*o + 40884 + 163708 for o. 38 Solve -267*p + 1170*p + 29944 = -21183 - 21113 for p. -80 Solve 110663*g - 110577*g + 1548 = 0 for g. -18 Solve 81746 = 49*j + 82530 for j. -16 Solve -15*f - 376 = -594 + 623 for f. -27 Solve -100827*p = -100011*p + 100368 for p. -123 Solve 936*b + 5897 + 16552 = -35583 for b. -62 Solve -567362*f = -1134583*f + 567324*f + 7313 for f. -71 Solve -7565*z = -7617*z - 4004 for z. -77 Solve 119393 = -1678*c - 13169 for c. -79 Solve -235463 = -1027*q - 287840 for q. -51 Solve -9098*i - 7504 - 3571 = -11313*i for i. 5 Solve 1956 + 1458 + 1327 = -431*d for d. -11 Solve -1766*n + 150 = -1756*n for n. 15 Solve 3*p + 27*p - 51*p - 130*p = -5436 for p. 36 Solve 41*l + 2327*l + 11840 = 0 for l. -5 Solve -276*o = -0*o + 15225 - 22677 for o. 27 Solve 85*x - 279*x + 92*x - 252 = -90*x for x. -21 Solve -3477 - 1796 = 89*l - 3638 + 3349 for l. -56 Solve -384*q + 1494 = -4127 - 5899 for q. 30 Solve 0 = -35547*q + 35590*q + 2494 for q. -58 Solve 38357 + 24210 - 23463 = -376*j for j. -104 Solve -6180*f + 8472 = -5121*f for f. 8 Solve 795*g = -4153 - 20492 for g. -31 Solve -10*i + 336578 - 337274 = -126*i for i. 6 Solve 1625*h - 1917*h + 11388 = 0 for h. 39 Solve 13115*k = -745167 - 141286 - 580017 - 81100 for k. -118 Solve 0 = -920009*t + 919935*t - 1036 for t. -14 Solve -33*h + h = -39*h - 231 for h. -33 Solve 85950*w - 16385 = 85385*w for w. 29 Solve 181994 = 195*z + 2277*z + 60866 for z. 49 Solve 183*p = -1114*p + 4608 + 5768 for p. 8 Solve 314*m + 12705 = 1087 for m. -37 Solve -11 = 105*g + 86 + 323 for g. -4 Solve -1419 = 138701*f - 138734*f for f. 43 Solve 65*u + 528 = -80*u - 2082 for u. -18 Solve 1235*p - 1426*p = 10123 for p. -53 Solve -6201 + 2997 = 11*f - 3*f - 3044 for f. -20 Solve 1090*u - 1994*u = -1016*u + 4480 for u. 40 Solve -271*c + 59292 = 541*c + 617*c - 331*c for c. 54 Solve -1556*g + 641*g - 1742*g + 238380 = -602*g for g. 116 Solve 3373*r - 561*r + 98444 = -199628 for r. -106 Solve -178*u - 7750 = -826*u + 21318 + 11108 for u. 62 Solve -1098*y - 34244 = -22153 + 25241 for y. -34 Solve 6300 = 8010*x - 7660*x for x. 18 Solve -4121*a + 233146 + 197331 + 130772 = 676*a for a. 117 Solve -84*m + 446 = -793 - 189 for m. 17 Solve -265602 - 422613 + 33703 - 454916 = -12059*h for h. 92 Solve 37*j - 16*j = -0*j + 546 for j. 26 Solve -1156*m - 9793 - 11957 = 1612 + 5538 for m. -25 Solve -81750*j + 82228*j = 13862 for j. 29 Solve -471 = -45*y - 488 - 1153 for y. -26 Solve 1685*z + 528*z = 1009*z - 1768*z - 225872 for z. -76 Solve 11*a + 2 = 11*a + 10*a + 82 for a. -8 Solve -29*a - 2795 = 108*a + 54*a - 15401 for a. 66 Solve 88588 + 62982 = 4250*d - 40420 - 54510 for d. 58 Solve 0 = 3691*s + 19432 + 374078 - 2264 for s. -106 Solve 1232*s + 22360 = -511*s + 313*s - 46280 for s. -48 Solve 0 = -835*f - 37
{ "pile_set_name": "DM Mathematics" }