text
stringlengths
270
8.19k
meta
dict
What are the prime factors of 614? 2, 307 List the prime factors of 922. 2, 461 List the prime factors of 1204. 2, 7, 43 What are the prime factors of 1009? 1009 What are the prime factors of 3275? 5, 131 What are the prime factors of 2032? 2, 127 What are the prime factors of 4221? 3, 7, 67 What are the prime factors of 17395? 5, 7, 71 What are the prime factors of 2363? 17, 139 List the prime factors of 24084. 2, 3, 223 List the prime factors of 2824. 2, 353 What are the prime factors of 8505? 3, 5, 7 List the prime factors of 2403. 3, 89 What are the prime factors of 713? 23, 31 List the prime factors of 8602. 2, 11, 17, 23 What are the prime factors of 6495? 3, 5, 433 List the prime factors of 4020. 2, 3, 5, 67 What are the prime factors of 81248? 2, 2539 What are the prime factors of 601? 601 What are the prime factors of 3216? 2, 3, 67 List the prime factors of 13600. 2, 5, 17 List the prime factors of 20265. 3, 5, 7, 193 List the prime factors of 1166. 2, 11, 53 What are the prime factors of 16166? 2, 59, 137 List the prime factors of 61915. 5, 7, 29, 61 List the prime factors of 7739. 71, 109 List the prime factors of 9387. 3, 7, 149 What are the prime factors of 5986? 2, 41, 73 List the prime factors of 588. 2, 3, 7 List the prime factors of 6534. 2, 3, 11 What are the prime factors of 18966? 2, 3, 29, 109 List the prime factors of 1940. 2, 5, 97 What are the prime factors of 25964? 2, 6491 List the prime factors of 26370. 2, 3, 5, 293 What are the prime factors of 8060? 2, 5, 13, 31 What are the prime factors of 2316? 2, 3, 193 List the prime factors of 99443. 277, 359 What are the prime factors of 28656? 2, 3, 199 List the prime factors of 54069. 3, 67, 269 What are the prime factors of 24585? 3, 5, 11, 149 What are the prime factors of 2989? 7, 61 List the prime factors of 47280. 2, 3, 5, 197 List the prime factors of 4950. 2, 3, 5, 11 List the prime factors of 38. 2, 19 List the prime factors of 681. 3, 227 List the prime factors of 64514. 2, 32257 List the prime factors of 17726. 2, 8863 What are the prime factors of 1195? 5, 239 List the prime factors of 30806. 2, 73, 211 List the prime factors of 6385. 5, 1277 List the prime factors of 56943. 3, 19, 37 What are the prime factors of 18572? 2, 4643 What are the prime factors of 4068? 2, 3, 113 What are the prime factors of 2318? 2, 19, 61 What are the prime factors of 1247? 29, 43 What are the prime factors of 7342? 2, 3671 List the prime factors of 1115. 5, 223 What are the prime factors of 2520? 2, 3, 5, 7 List the prime factors of 7121. 7121 What are the prime factors of 73670? 2, 5, 53, 139 What are the prime factors of 15507? 3, 1723 What are the prime factors of 2272? 2, 71 What are the prime factors of 8534? 2, 17, 251 What are the prime factors of 2368? 2, 37 What are the prime factors of 5092? 2, 19, 67 List the prime factors of 1580. 2, 5, 79 List the prime factors of 1962. 2, 3, 109 What are the prime factors of 59550? 2, 3, 5, 397 What are the prime factors of 7460? 2, 5, 373 List the prime factors of 104439. 3, 31, 1123 List the prime factors of 62482. 2, 7, 4463 List the prime factors of 11342. 2, 53, 107 What are the prime factors of 717? 3, 239 List the prime factors of 2868. 2, 3, 239 What are the prime factors of 24480? 2, 3, 5, 17 List the prime factors of 840. 2, 3, 5, 7 List the prime factors of 10247. 10247 What are the prime factors of 4055? 5, 811 List the prime factors of 906. 2, 3, 151 List the prime factors of 1243. 11, 113 What are the prime factors of 22802? 2, 13, 877 List the prime factors of 40499. 40499 What are the prime factors of 3136? 2, 7 List the prime factors of 97417. 61, 1597 List the prime factors of 45858. 2, 3, 7643 What are the prime factors of 68976? 2, 3, 479 What are the prime factors of 30261? 3, 7, 11, 131 List the prime factors of 767. 13, 59 What are the prime factors of 49461? 3, 16487 What are the prime factors of 90? 2, 3, 5 What are the prime factors of 15969? 3, 5323 List the prime factors of 66331. 113, 587 What are the prime factors of 3488? 2, 109 List the prime factors of 961. 31 What are the prime factors of 2214? 2, 3, 41 List the prime factors of 3289. 11, 13, 23 What are the prime factors of 2740? 2, 5, 137 List the prime factors of 6657. 3, 7, 317 What are the prime factors of 32463? 3, 3607 What are the prime factors of 11247? 3, 23, 163 List the prime factors of 7174. 2, 17, 211 List the prime factors of 2721. 3, 907 List the prime factors of 46217. 113, 409 List the prime factors of 22992. 2, 3, 479 List the prime factors of 3207. 3, 1069 List the prime factors of 13767. 3, 13, 353 List the prime factors of 2054. 2, 13, 79 What are the prime factors of 830? 2, 5, 83 What are the prime factors of 799? 17, 47 List the prime factors of 26050. 2, 5, 521 List the prime factors of 2589. 3, 863 What are the prime factors of 145542? 2, 3, 127, 191 List the prime factors of 2640. 2, 3, 5, 11 List the prime factors of 1168. 2, 73 List the prime factors of 522. 2, 3, 29 List the prime factors of 705. 3, 5, 47 List the prime factors of 95222. 2, 47, 1013 List the prime factors of 159117. 3, 7, 7577 What are the prime factors of 26298? 2, 3, 487 List the prime factors of 15010. 2, 5, 19, 79 What are the prime factors of 9987? 3, 3329 List the prime factors of 11112. 2, 3, 463 List the prime factors of 7600. 2, 5, 19 What are the prime factors of 20481? 3, 6827 List the prime factors of 6031. 37, 163 What are the prime factors of 3569? 43, 83 List the prime factors of 50015. 5, 7, 1429 What are the prime factors of 23057? 23057 List the prime factors of 4509. 3, 167 List the prime factors of 1756. 2, 439 List the prime factors of 17866. 2, 8933 What are the prime factors of 93902? 2, 29, 1619 List the prime factors of 703. 19, 37 List the prime factors of 17740. 2, 5, 887 List the prime factors of 48852. 2, 3, 23, 59 List the prime factors of 1081. 23, 47 List the prime factors of 5735. 5, 31, 37 List the prime factors of 3583. 3583 What are the prime factors of 73291? 73291 List the prime factors of 1038. 2, 3, 173 List the prime factors of 72538. 2, 36269 List the prime factors of 1668. 2, 3, 139 What are the prime factors of 5422? 2, 2711 What are the prime factors of 7836? 2, 3, 653 What are the prime factors of 4068? 2, 3, 113 What are the prime factors of 990? 2, 3, 5, 11 List the prime factors of 24035. 5, 11, 19, 23 List the prime factors of 21674. 2, 10837 What are the prime factors of 65149? 7, 41, 227 List the prime factors of 2429. 7, 347 List the prime factors of 108574. 2, 54287 List the prime factors of 4465. 5, 19, 47 What are the prime factors of 18763? 29, 647 What are the prime factors of 880? 2, 5, 11 List the prime factors of 22433. 22433 List the prime factors of 1067. 11, 97 List the prime factors of 9386. 2, 13, 19 What are the prime factors of 5683? 5683 What are the prime factors of 5918? 2, 11, 269 List the prime factors of 10104. 2, 3, 421 List the prime factors of 16244. 2, 31, 131 List the prime factors of 355. 5, 71 List the prime factors of 2589. 3, 863 List the prime factors of 26988. 2, 3, 13, 173 What are the prime factors of 10424? 2, 1303 What are the prime factors of 17525? 5, 701 List the prime factors of 2419. 41, 59 What are the prime factors of 23723? 7, 3389 List the prime factors of 1265. 5, 11, 23 What are the prime factors of 14310? 2, 3, 5, 53 What are the prime factors of 57129? 3, 137, 139 What are the prime factors of 9329? 19, 491 What are the prime factors of 31603? 11, 13, 17 What are the prime factors of 1938? 2, 3, 17, 19 List the prime factors of 14428. 2, 3607 What are the prime factors of 3106? 2, 1553 List the prime factors of 75038. 2, 17, 2207 List the prime factors of 2003. 2003 List the prime factors of 27006. 2, 3, 7, 643 List the prime factors of 692. 2, 173 What are the prime factors of 17170? 2, 5, 17, 101 List the prime factors of 6510. 2, 3, 5, 7, 31 What are the prime factors of 2779? 7, 397 What are the prime factors of 7032? 2, 3, 293 List the prime factors of 2659. 2659 List the prime factors of 426. 2, 3, 71 List the prime factors of 7034. 2, 3517 What are the prime factors of 7383? 3, 23, 107 What are the prime factors of 920? 2, 5, 23 List the
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of s(4)? 3 List the prime factors of -19 + 17 + 0 + 7. 5 Suppose 33*c + 36 = 37*c. What are the prime factors of c? 3 Let a = 1 + 4. Suppose -3*d = 5*c - 32, d = 2*d - a*c - 4. What are the prime factors of d? 3 Let r = 282 - 171. List the prime factors of r. 3, 37 Let s = -40 + 79. What are the prime factors of s? 3, 13 Let i be (-20 + -1)*(-1)/3. Let f = i - 4. Suppose -2*q = z - 14, 2*z - f*q = -0*z. What are the prime factors of z? 2, 3 Let i(d) = -3*d + d - 11 + 2. Let h = 7 + -13. What are the prime factors of i(h)? 3 Let r = -38 - -66. What are the prime factors of r? 2, 7 Let x(j) = -2*j - 12. Let q(v) = v**2 - 5*v - 7. Let d be q(5). Let n = -17 - d. What are the prime factors of x(n)? 2 Let a = 17 + -13. Suppose 0 = -4*r - 3*z + 150, -a = -r + 4*z + 24. List the prime factors of r. 2, 3 Let y(g) be the third derivative of g**6/120 + g**5/12 + g**4/4 + 5*g**3/6 - 3*g**2. Let s be y(-4). What are the prime factors of (-7)/s + (-2)/(-3)? 3 What are the prime factors of (6256/(-3))/(-8) + 2/6? 3, 29 Suppose -4*j + 26 = -82. What are the prime factors of (-3)/(-6) - j/(-6)? 5 Let z(r) be the first derivative of r**2/2 - 4*r + 3. Let i be z(4). Let u = i + 9. What are the prime factors of u? 3 Let r(d) = 2*d**2 - d. Let h be r(-5). Let c = 92 - h. Suppose -4*y + c = 5*s, -3*s + 4*s + 2*y - 5 = 0. What are the prime factors of s? 3 Let v = 1 - 0. Let g = v - 1. Let o = g + 2. List the prime factors of o. 2 Let c(x) = 6*x**3 + 6*x**2 - 6*x. What are the prime factors of c(3)? 2, 3, 11 Let h = 124 - 6. What are the prime factors of h? 2, 59 Let x be -3*(50/(-3))/(-5). List the prime factors of x/(-6)*(6 - 0). 2, 5 Suppose 5*b = 2*x + 2, 3*b + 4 = x + 6. What are the prime factors of b? 2 Suppose -3*n = -n - 12. Suppose n*m = 4*m + 118. Suppose -4*d = -m - 9. List the prime factors of d. 17 Suppose c = 3*a + 3, 0 = -3*c + 2*a - 0*a - 5. Let t(w) = 5*w**2 + 2*w + 1. Let x be t(c). Let s = x + -29. List the prime factors of s. 11 Suppose -83 = d - 250. What are the prime factors of d? 167 Let p(f) = f**3 + 10*f**2 - 11*f + 2. Let g be p(-11). Suppose 0 = -4*b - g*b + 84. What are the prime factors of b? 2, 7 List the prime factors of (-1)/((-1)/(-11)*1*-1). 11 Let h(b) = b**3 - 12*b**2 + 32*b - 2. List the prime factors of h(10). 2, 59 Let o(f) = -16*f + 2. Let r = 20 - 22. List the prime factors of o(r). 2, 17 Let q(g) = 7*g - 26*g - 6 + 1 + 3. What are the prime factors of q(-2)? 2, 3 Let b(x) = -3*x - 50. What are the prime factors of b(-20)? 2, 5 Let f(p) = 29*p**3 - p**2 + p. Let b be f(1). Suppose 0 = -z + 1 + b. Suppose 5*o - z - 25 = 0. List the prime factors of o. 11 Let f(b) = -b**2 + 6*b. Let h be f(6). Let o(t) = -t**2 + 6*t - 4. Let i be o(4). Suppose h = 5*c - 20, -i*n + 72 = 2*c + 28. What are the prime factors of n? 3 List the prime factors of ((-12)/10)/(10/(-725)). 3, 29 Let r = -6 - -12. Suppose -g + r = 2*g. Suppose s = -2*y, 30 = 4*s - 0*y - g*y. List the prime factors of s. 2, 3 Let d(i) = i**2 - 4*i + 4. Suppose -4*o = u - 16, 2*u + o - 6 = 5. What are the prime factors of d(u)? 2 Suppose -4*n = 3*n - 700. What are the prime factors of n? 2, 5 Suppose -4*w - 12 = 0, 4*z = -w + 3 + 26. Suppose z = -0*g + 4*g. List the prime factors of g. 2 Let d(a) = a**3 - 3*a**2 - a - 4. Let s = 8 + -5. Let f be d(s). Let c = -5 - f. List the prime factors of c. 2 Let i(o) = 0*o - 3*o + 5*o + 1 + 0*o. What are the prime factors of i(3)? 7 Let b be 3/(1 + (-39)/30). Let p be 6/15 + 4/b. List the prime factors of 9 + (-1 - p)*-1. 2, 5 Let h(r) = -r**3 - 6*r**2 - 8*r - 7. Suppose -f - 2*f = -9. Suppose 0 = -f*u - 10 - 5. List the prime factors of h(u). 2 Let z = 266 - 146. What are the prime factors of z? 2, 3, 5 Suppose 2*g - 6*g = -828. List the prime factors of g. 3, 23 Let p be (-2)/(-5) + 99/15. Let y be 38/14 + 2/p. Suppose -7*m + y*m + 76 = 0. List the prime factors of m. 19 Suppose -n + 81 = 22. List the prime factors of n. 59 Let m(u) = u**3 + u**2 + 8. Let i = 1 - 1. What are the prime factors of m(i)? 2 Suppose 5*x - 38 - 12 = 0. What are the prime factors of x? 2, 5 Let f = 3 + 0. Suppose f*j = 41 + 16. List the prime factors of j. 19 Let u = -96 + 153. List the prime factors of u. 3, 19 Suppose 0 = -4*g - 3*j + 3, -j = 4*g - 3*j + 2. Suppose 6*d - 2*d = g. Suppose h - 3 - 1 = d. List the prime factors of h. 2 Suppose -2 + 0 = -2*x. Let i = 3 - x. Suppose i*p - 56 = -5*l - 0*p, -2*p + 8 = l. List the prime factors of l. 2, 3 Suppose -3*t - 5*y = 96 - 425, 4*t - 3*y - 429 = 0. List the prime factors of t. 2, 3 Suppose -p - 4*w + 4 = 0, 3*w = -p + 2*w - 2. Let g be ((-4)/3)/(p/(-24)). Let s(o) = -o**3 - 9*o**2 - 9*o - 5. List the prime factors of s(g). 3 Suppose -h - 2*a + 63 = -10, 4*h - 320 = -a. List the prime factors of h. 3 Let m(b) = 8*b**2 - 4*b - 1. What are the prime factors of m(-3)? 83 Let c(o) = -1 - 5 - 1 + 1 + o**2 + 9*o. Let r be c(-10). Let i = r - -6. What are the prime factors of i? 2, 5 Let l be 2 - 0 - 1 - -14. Let u = l - 11. Suppose 4 = 6*x - u*x. List the prime factors of x. 2 Let w(k) = -k**2 + 2*k + 2. Let u be w(3). Let f = 9 - u. What are the prime factors of f/1 + (-2)/(-2)? 11 Let x = 1082 - 765. What are the prime factors of x? 317 Let i be 4/10 + 56/10. Suppose 5*o - i = -1. Suppose -o = h - 3*l + l, -36 = -4*h - 2*l. What are the prime factors of h? 7 Let o(z) = 0*z**3 + 7 + 4*z**3 + 4*z**2 - 4*z - 3*z**3. Let j be o(-5). What are the prime factors of (j/5)/(3/60)? 2 Let g(j) = -j**2 - 6*j + 13. What are the prime factors of g(-6)? 13 Let g = 389 - 224. What are the prime factors of g? 3, 5, 11 Let b(u) = -u**3 + 2*u + 1. List the prime factors of b(-2). 5 List the prime factors of (-2 + 696/(-21))/((-5)/35). 2, 3, 41 What are the prime factors of (115635/20)/13 - 2/(-8)? 5, 89 Suppose -2*p - 7 - 7 = 0. Let b(i) = -i**2 - 7*i + 9. Let j be b(p). Suppose -4*d = c + d - j, -4*d + 18 = 2*c. What are the prime factors of c? 3 Let n(a) be the second derivative of a**5/20 + 7*a**4/12 - 5*a**3/3 - 7*a**2/2 - 2*a. Let i be ((-4)/1)/((-1)/(-2)). What are the prime factors of n(i)? 3 Let r be 2 - (15 + 1)/(-4). Let i(d) = -d**3 + 8*d**2 - 6*d - 3. What are the prime factors of i(r)? 3, 11 Let x = -35 - -20. Let w = 30 + x. What are the prime factors of w? 3, 5 Let z = 346 + -232. List the prime factors of z. 2, 3, 19 Suppose -18 = -4*j + 3*r + 25, 0 = 2*j + r - 9. Let u = 12 - j. What are the prime factors of u? 5 Let d = 40 - -23. List the prime factors of d. 3, 7 Suppose 3*q - 20 = -q. Suppose k + 60 = 4*g, 3*g - 15 = q*k + 47. Let n = g - 8. List the prime factors of n. 2, 3 Let u(l) be the second derivative of -l**4/24 + 3*l**3/2 - l**2 + l. Let j(t) be the first derivative of u(t). What are the prime factors of j(7)? 2 Let v(b) = -b**3 - 3*b**2 - b + 1. Suppose -2*i + 3 = -3*i. List the prime factors of v(i). 2 Let a = 6 + -10. What are the prime factors of (-1)/(-2)*-3*a? 2, 3 Suppose 6*s - s + 10 = 0. Let w(d) = -3*d**3 - 1. What are the prime factors of w(s)? 23 Let u = -7 + 9. Let m(z) = 9*z - 1. List the prime factors of m(u). 17 Let f = -6 + 9. Suppose 25 = f*c + 2*c. Suppose -j = w - c*w + 53, 50 = 4*w - 2*j. What are the prime factors of w? 2, 7 Let x be 10 + (-3)/(6/8). Let w be 0/((-2)/2) - 0. Suppose w*j + x = 2*j. What are the prime factors of j? 3 Let h(v) = v**2 + v + 4. Suppose 0 = 4*w + 2*t - 20, 5*t + 1 = 21. List the prime factors of h(w). 2 Suppose -10*d + 2035 - 785 = 0. What are the prime factors of d? 5 Let b(w) = -w + 13. Let p be ((-4)/(-5))/((-4)/(-40)). List the prime factors of b(p). 5 Let s(d) = d**2 - 7*d + 6. Let u be s(4). Let t be (-4)/u - (-2)/6. What are the prime factors of 18/4*(3 - t)? 3 Let t be (2/(-2))/(2/8). List the prime factors of (-4)/(-6)*(-30)/t. 5 Suppose 0*a + 5*k + 3 = -2*a, 2*k = -4*a + 18. Suppose 4*g = -0*g - 5*d + 18, -4*g + 2*d + 4 = 0. Suppose 0 = -g*j + 2 + a. List the prime factors of j. 2 Let k(z) = -3*z + 1. Let n be k(-9). Let f(x) = x**3 - 7*x**2 + 6*x + 4. Let s be f(6). Suppose 0*i - n = -s*i. List the prime factors of i. 7 Suppose -3*t - 2*t + 30 = 0. Suppose 0 = 4*a + 18 - t, -a = -f + 5. Suppose f*g - 6*g = -16. List the prime factors of g. 2 Let s(b) = b**3 + b**2 + 3. Let a be s(0). Suppose 5*g - a*i = -7*
{ "pile_set_name": "DM Mathematics" }
llest value in o, 0.5, -2, d? -2 Let j = -72.14 + 72. What is the biggest value in j, 0.2, 1? 1 Let u be (-2)/((-40)/(-2652)) - (-18)/(-45). What is the second smallest value in u, -3, 2/7? -3 Let d = -2.5 + 3.1. Let z = -0.79 + d. Let i = z - -0.29. What is the third smallest value in -3/4, i, -1/4? i Let p = -1110 + 1111. Let g(j) = j**3 - 5*j**2 - 7*j + 4. Let h be g(6). What is the biggest value in h, p, 2/7? p Let o = -2.87 - -2.67. Which is the biggest value? (a) o (b) -1/4 (c) -163 a Let j = -9.88 + 9.78. Which is the fourth smallest value? (a) 0.7 (b) 0.1 (c) j (d) -1 a Suppose 2*f + 12 = -f. Let l be 10/f + (-9)/(-18). Let h be ((-3)/l)/((-75)/(-20)). Which is the biggest value? (a) 1/3 (b) h (c) 4 c Let g = 1665 - 5039/3. Which is the second biggest value? (a) 0.1 (b) g (c) -3 c Let s = -180.5 - -181.5. Which is the biggest value? (a) s (b) 2/7 (c) 2/3 (d) 3/2 d Let k(i) = 2*i**3 - 9*i**2 - 10*i + 26. Let y be k(5). Which is the second smallest value? (a) y (b) -3/5 (c) -0.03 c Let h = -1138 + 1138.13. What is the third smallest value in h, -1/6, 3/4? 3/4 Let b(v) = v**2 + v - 2. Let j be b(-2). Let r = 106 + -10. Let f = r + -99. What is the smallest value in 0.02, j, f? f Let o = -35.1 + 34.6. Which is the fourth biggest value? (a) 0.5 (b) 1.5 (c) o (d) 0.3 c Let f = 4120 - 4123.061. Let b = 0.061 + f. What is the third biggest value in -2/5, -5/3, b? b Let m = 145 - 134. Let n = 100 + -701/7. What is the third biggest value in 0, m, n? n Let o = 158 - 159. Which is the second smallest value? (a) -0.3 (b) o (c) -41 b Suppose 0 = -39*a + 10*a + 493. What is the second biggest value in 0.2, -0.04, -1/2, a? 0.2 Let h = -2484/8743 + -2/1249. What is the second biggest value in h, 17, -1/19? -1/19 Let l be 4*(-3)/4 - 5. Let m = 58/7 + l. Which is the third smallest value? (a) -1 (b) 0.6 (c) m b Let q = 1.26 - 1.26. Which is the second biggest value? (a) -4 (b) q (c) -51 a Let d be (-6)/2790*-9*1/3. Let m = d + -473/1240. What is the second biggest value in -2, m, 2? m Let j = -1.07 + 0.17. Let w = j - -1. Suppose 0 + 27 = 3*t + 4*v, 0 = -4*t + 2*v + 14. What is the third smallest value in w, t, -1? t Suppose -21 = -3*s - 6. Let n = 0.046 - 0.101. Let d = n - -0.455. Which is the second smallest value? (a) s (b) -0.1 (c) d c Let f = -240.2 - -240. What is the second smallest value in f, 1/12, -1? f Let g = -39 + 39.2. Which is the smallest value? (a) 0.3 (b) 0.027 (c) g (d) -0.3 d Suppose -5*p + 5*y - 35 = 0, 2*p - y + 23 = 4*y. Let v be (-4)/((-12)/15) + -3. Let f(s) = s. Let m be f(5). Which is the biggest value? (a) p (b) m (c) v b Let d = -660 - -660.3. Let o = -130/3 - -42. What is the third smallest value in 5, 0.2, d, o? d Suppose -3 = -2*g - 5*c, 2*g + 4*c = 6*c - 4. What is the biggest value in g, -76, 1/6? 1/6 Let c = -0.003 + 0.503. What is the third biggest value in -0.3, 8, c, 3/4? c Let j = 3.3 + -1.7. Let l = j + -2.7. Let t = 1.4 + l. Which is the second smallest value? (a) -3 (b) -4 (c) t a Let k = 17274539/23 - 751279. Let m = -47 - -259. Let z = m + k. What is the biggest value in 2, z, -2/3? 2 Let c = 107 - 107.3. What is the smallest value in -0.07, -1, -2, c? -2 Let m = 7 - 7. Let g = -430 + 429.5. Which is the smallest value? (a) g (b) 1 (c) m (d) 2 a Let z be (21/28)/((-7)/(-672)). Which is the second biggest value? (a) z (b) 1/10 (c) 1/7 c Let p(k) = -2*k**2 + 2*k + 1. Suppose 8 = -4*l + 16. Let w be p(l). Let x = -21 + 16. What is the biggest value in w, x, 0.2? 0.2 Let l = 1.13 + -1.63. What is the fourth biggest value in 30, 0.3, l, 1/8? l Let w be (2 - 123/15) + 1. Let u = w - -109/20. Let x = 255 - 2803/11. Which is the smallest value? (a) 2 (b) x (c) u b Let l = -4.6 + 7.7. Let w = -395 + 392. Let i = l + w. Which is the third biggest value? (a) i (b) -3 (c) -1 b Suppose -4*v = -17*u + 16*u - 18, -2*v + 10 = -u. Let z be (-5 - (-3 + 1))/(-1). Suppose 9 = -z*n - 3. Which is the third smallest value? (a) -5 (b) u (c) n b Let h = -0.06 + 0.16. Let x = 0.3 + h. Let i = 7 + -4. Which is the third smallest value? (a) x (b) i (c) -0.1 b Let i = 0.06 + -0.09. Let m = 564 + -563. Which is the second smallest value? (a) 0.3 (b) i (c) -2/7 (d) m b Let i(s) = 2*s + 2. Let d be i(0). Suppose v + 5*q = -20, -d*v + v + 4 = -q. What is the third biggest value in 0.7, v, -3? -3 Let q = 483 + -477. Let r = -10 - -9.8. Which is the third biggest value? (a) q (b) r (c) 5 b Let g = 0.08 + 0.42. Let n = 109/297 + -5/27. What is the smallest value in g, n, -3/7? -3/7 Let u = 0.0855 - -2.9145. What is the second biggest value in -2/15, u, 0.16, 7? u Let u = 0.08 + 0.92. Let s = 85 + -88. Which is the smallest value? (a) s (b) -2 (c) u a Let z = 0.3493 + -0.1493. Which is the smallest value? (a) 2/67 (b) z (c) -2 c Let z(j) = -j**2 + 7*j - 2. Let u be z(7). Let l be (-3 + (-519)/(-171))/((-17)/51). Which is the third smallest value? (a) l (b) u (c) -1 a Let i be -1*3 + 29/9. Suppose -23 = -w + 5*z, -3*w - z = 1 + 10. Let t be (2 - 4) + 0 - w. What is the biggest value in i, -4, t? i Let i = 4/7 - 3/7. Let u = -10.94 - -11. Let y = u + 1.94. Which is the third smallest value? (a) i (b) 1/2 (c) y c Let s(v) = -v**2 + 14*v + 435. Let t be s(-15). Which is the third biggest value? (a) -2 (b) t (c) -4 (d) 1 a Let p = 23 - 24. Let d = 0.22 - 0.52. What is the smallest value in -5, d, p? -5 Let f be 5/((-35)/63) + 117. What is the second smallest value in f, 5, 2/13? 5 Let x = -5675 - -5680. Let z = 4 - 4.4. What is the second biggest value in -5, -10, x, z? z Let y = -2/31 + -89/62. Let c(j) = 17 - j + 4 + 0 - 2*j. Let x be c(9). What is the second biggest value in y, x, -3? -3 Let f be (-3 + 1)/(36/(-90)). What is the biggest value in f, 0.04, 0.5? f Let u = 313.5 - 313. Let g be 21/(-8) - (-1)/4. Let t = g - -15/8. What is the biggest value in -1, u, t? u Let q = 116.4 + -121.4. Which is the second biggest value? (a) -2/35 (b) -0.4 (c) q b Let s be ((-448)/63)/8*3/4. What is the smallest value in 1/2, 0.3, s, -57? -57 Let j = -1378 - -1373. What is the smallest value in 15/2, -0.1, 0.2, j? j Let w(i) = i**3 - 11*i**2 - 2*i + 22. Let j be w(11). Let s be (j*2/6)/1. Which is the third smallest value? (a) s (b) -2/11 (c) -5 a Let o = 1251194/3615867 + 1/23031. Let x = -2/157 + o. Let q be 4/20*(-3 + 0). Which is the biggest value? (a) q (b) x (c) 5 c Let j be 6/(-20)*(-36)/27. Let u be (26/91)/(3/(-3)). Which is the third biggest value? (a) -4 (b) u (c) j a Let d(t) = -t**3 + 8*t**2 - 9*t + 5. Let b be d(7). Let q = b - -7. Let y = q + 5. What is the second smallest value in -0.1, 2/19, y? 2/19 Let j = -30 + 23. Let n be (8/(-5))/(-4)*95. Let o be ((-19)/n)/(j/4). Which is the biggest value? (a) o (b) -2 (c) 4 c Let z(f) = -51*f + 258. Let d be z(5). What is the third smallest value in -154, 2, d, -5? 2 Let a be (0 + (-368)/44)*-1*43. Let c = a + -360. What is the smallest value in c, -3, -2? -3 Let i = 540.6 - 541. What is the smallest value in 5, -296, i? -296 Let h = -53 + 637/12. Which is the second smallest value? (a) -1/2 (b) 4 (c) -4 (d) h a Let n = -31 + 26.6. Let d = 1.4 + n. What is the smallest value in 4, d, 4/3? d Let i = -173 + 116. Let s = 42 + i. Which is the biggest value? (a) -2/3 (b) -4 (c) s a Let u = -4.4 + 4. Suppose -4*p + q + 941 = 0, 4*q = -4*p - p + 1150. Let c be 10/p + (-2)/13. What is the second smallest value in 1/4, c, u? c Let m = -422/3 - -141. Which is the biggest value? (a) m (b) -2.8 (c) -1/8 a Let p be -6 + 14/(-20)*-8. Which is the third smallest value? (a) p (b) -9 (c) 3 (d) -3/7 a Let d be (-4)/90*(12 + -4 + -3). Which is the biggest value? (a) 11 (b) -2 (c) d a Let n = -1.9 - -0.4. Let i = n - -1. Let q = -2.3 - -2.5. What is the second biggest value in q, -0.1, i? -0.1 Let y be (3/(-10))/(-6 + (-81)/(-15)). Let m = -5.5 + 5. What is the biggest value in y, m, -7? y Let f = 2.3 - -9.7. Let u = -13 + f. Which is the third smallest value? (a) 1/2 (b) u (c) -4 a Let m = -54 - -90. Which is the second smallest value? (a) -1 (b) 0 (c) m b Let k = -0.007 + -0.203. What is the second smallest value in 0.2, -2/19, k? -2/19 Let h = 179 - 283.5. Let o = 105 + h. Let f = 27 + -136
{ "pile_set_name": "DM Mathematics" }
961/652 Calculate 1841 divided by -226. -1841/226 What is 15292 divided by 1? 15292 Calculate -815898 divided by -4. 407949/2 327522 divided by 8398 39 What is -9495 divided by -5? 1899 What is -2 divided by -580558? 1/290279 Calculate 1125300 divided by -112530. -10 Divide 43 by -3469. -43/3469 What is -25921 divided by 1127? -23 Divide 21588 by -5397. -4 Divide 96 by -2295. -32/765 -5401312 divided by -2 2700656 Calculate 796549 divided by -923. -863 Calculate 147555 divided by 9. 16395 6300 divided by -18 -350 -65727 divided by -9 7303 Divide -17988 by -12. 1499 432108 divided by -216054 -2 Divide -41245 by -73. 565 -2 divided by 23170 -1/11585 Divide 11 by 62233. 11/62233 Divide 121800 by 6. 20300 Calculate -46460 divided by 230. -202 What is -73744 divided by -1? 73744 1148758 divided by 2 574379 What is 140140 divided by -10010? -14 Divide 48879 by 30. 16293/10 Calculate -1129440 divided by 21720. -52 Calculate -18256 divided by 56. -326 What is 3195126 divided by 6? 532521 What is 165779 divided by -3? -165779/3 -426700 divided by -4 106675 Calculate -610821 divided by -22623. 27 What is -13464 divided by -99? 136 Divide -261 by -21. 87/7 Calculate 111 divided by 2225. 111/2225 Divide 1082019 by -360673. -3 Calculate -20 divided by -60. 1/3 Calculate -31465 divided by 4. -31465/4 What is 5077 divided by 45? 5077/45 Calculate 97721 divided by 3. 97721/3 -91775 divided by -25 3671 Calculate 9936 divided by -1242. -8 285 divided by 1288 285/1288 What is -1276173 divided by -17? 75069 What is 436 divided by -109? -4 What is 5 divided by -113159? -5/113159 -617 divided by -36 617/36 2 divided by -319852 -1/159926 Divide -15289 by 15289. -1 Divide -15 by 182723. -15/182723 What is 2507392 divided by 626848? 4 Calculate -11982 divided by 3. -3994 What is 7057 divided by -114? -7057/114 Calculate -76838 divided by 746. -103 Divide 143868 by -3786. -38 What is 58500 divided by 975? 60 0 divided by 32753 0 What is 2658430 divided by -4? -1329215/2 What is -2020 divided by 902? -1010/451 Divide 16814 by 5. 16814/5 -1962939 divided by 33 -59483 24161 divided by -6 -24161/6 What is 1 divided by -8269? -1/8269 310992 divided by -4 -77748 5408 divided by 52 104 4 divided by -10493 -4/10493 Divide -155 by 34. -155/34 -4655 divided by -604 4655/604 Calculate -20 divided by -293. 20/293 0 divided by -14479 0 Divide -190902 by -31817. 6 Calculate -948 divided by -1139. 948/1139 737 divided by -1316 -737/1316 Divide 691864 by 788. 878 Divide 2027256 by 1848. 1097 Calculate -142 divided by -5642. 71/2821 What is -10260 divided by -76? 135 What is -31317 divided by 39? -803 What is 851419 divided by -6? -851419/6 Calculate -13 divided by 18983. -13/18983 Calculate 1200 divided by 379. 1200/379 4080 divided by -20 -204 Divide 9790 by -4. -4895/2 Calculate 78352 divided by 9794. 8 Calculate 93460 divided by 4. 23365 -1025 divided by -89 1025/89 What is 92169 divided by 77? 1197 Calculate -65314 divided by -1921. 34 What is 4992 divided by 35? 4992/35 Divide 113780 by -28445. -4 Calculate 178128 divided by 1. 178128 -5 divided by 118452 -5/118452 What is -3 divided by -364324? 3/364324 Divide 270279 by -30031. -9 Divide -2 by 121561. -2/121561 -7 divided by 16073 -7/16073 Divide -3112960 by -778240. 4 -685 divided by -247 685/247 What is -77100 divided by 60? -1285 Divide -133 by -5564. 133/5564 Calculate 3302 divided by -21. -3302/21 Divide 13521 by -8. -13521/8 2 divided by 9083 2/9083 What is -4 divided by -17616? 1/4404 Calculate 1128520 divided by -1. -1128520 What is -8502 divided by 4251? -2 Calculate -108221 divided by -5. 108221/5 Calculate 0 divided by -15683. 0 Divide 1584732 by -12. -132061 Calculate -892971 divided by 9. -99219 Divide -1245 by -137. 1245/137 Divide 82210 by 13. 82210/13 Divide -11238470 by 5. -2247694 Divide 3575260 by 893815. 4 Divide -259 by 2081. -259/2081 -1515596 divided by 2692 -563 Divide 280 by 56. 5 Calculate 748236 divided by -6. -124706 Divide -90 by 11835. -2/263 Calculate 5 divided by -12906. -5/12906 Divide -30690 by -6138. 5 What is 28298 divided by 14149? 2 27144 divided by 1044 26 -278 divided by -1219 278/1219 Calculate 6455 divided by 5. 1291 Divide 6075 by -75. -81 Divide 146250 by 29250. 5 What is 2510370 divided by -90? -27893 What is -8 divided by 8946? -4/4473 Calculate 16529092 divided by 2. 8264546 Divide -3002 by 79. -38 Divide -221418 by 73806. -3 What is -2551 divided by -767? 2551/767 Calculate -3091 divided by -258. 3091/258 Calculate -9517 divided by 7. -9517/7 Divide 307671 by -8. -307671/8 855 divided by 5 171 What is 3 divided by -1701? -1/567 1534 divided by 195 118/15 Calculate -21660 divided by -380. 57 Divide -83624 by 41812. -2 Divide -1140 by 60. -19 Calculate -25368 divided by 6342. -4 Divide -15066 by 31. -486 What is 2432440 divided by 6? 1216220/3 Divide 13272 by 553. 24 24436 divided by -149 -164 -48765 divided by -16255 3 What is -2 divided by -28889? 2/28889 What is 1917594 divided by -319599? -6 What is -5318 divided by 23? -5318/23 Calculate -1796934 divided by 898467. -2 4 divided by -65405 -4/65405 Calculate -293112 divided by -12213. 24 Calculate 247577 divided by -247577. -1 What is 8 divided by 32897? 8/32897 Calculate 9470448 divided by -6. -1578408 What is -999864 divided by 499932? -2 -2 divided by 44530 -1/22265 What is -284075 divided by -5165? 55 What is -5951 divided by 4? -5951/4 Calculate 2739 divided by -1. -2739 Calculate 126 divided by 44386. 63/22193 Divide -4 by -1430. 2/715 Calculate -516919 divided by -221. 2339 Calculate -3342 divided by -74. 1671/37 What is 438270 divided by 21? 20870 Calculate 302 divided by 496. 151/248 What is -143550 divided by -7975? 18 Calculate 8 divided by -40583. -8/40583 What is -287647 divided by 287647? -1 -3 divided by -514652 3/514652 Divide -18 by 4242. -3/707 What is 5326 divided by 431? 5326/431 Calculate -45010 divided by 1. -45010 Calculate 572547 divided by 6. 190849/2 Divide -470 by 3499. -470/3499 -5375 divided by -6 5375/6 Calculate -61716 divided by -12. 5143 -8 divided by -406 4/203 Divide 117446 by -1. -117446 What is -39358 divided by 11? -3578 What is 4 divided by 9584? 1/2396 Divide -189 by -920. 189/920 Calculate -1225649 divided by -289. 4241 -130572 divided by 156 -837 Calculate 36 divided by -165839. -36/165839 Divide 2 by -4844. -1/2422 Calculate 1650 divided by 16. 825/8 Calculate 155 divided by 31. 5 Divide -89 by 742. -89/742 What is 4 divided by 209514? 2/104757 What is 58962 divided by -634? -93 Divide 522 by 8967. 174/2989 Calculate 457338 divided by -7. -65334 Divide 11481 by 11481. 1 Divide -630800 by -1328. 475 -229 divided by 831 -229/831 Divide 42330 by 2. 21165 -192832 divided by 262 -736 Calculate 2 divided by -4648. -1/2324 What is -259440 divided by -6? 43240 What is 23102 divided by -2? -11551 -69240 divided by -3462 20 6494 divided by -382 -17 Divide -1 by 23092. -1/23092 2557 divided by 11 2557/11 What is 8 divided by 47339? 8/47339 Calculate -3340730 divided by 5. -668146 What is 185660 divided by -37132? -5 What is 685790 divided by -137158? -5 Divide 3 by -24756. -1/8252 Divide -2 by 10259. -2/10259 -614809 divided by -13 47293 -51670 divided by -5167 10 What is 0 divided by -15462? 0 Calculate -20206 divided by 20206. -1 Divide 24117 by -24117. -1 Calculate 40284 divided by -108. -373 Calculate 21 divided by 66306. 7/22102 Calculate 2652119 divided by 1. 2652119 What is -69 divided by 56594? -69/56594 Divide -469 by 1657. -469/1657 8 divided by 2851 8/2851 Divide -766699 by -2. 766699/2 Divide 248821 by -16. -248821/16 Calculate 5 divided by -341414. -5/341414 What is 719796 divided by -76? -9471 Divide 207 by 5530. 207/5530 What is -1103 divided by -9? 1103/9 What is -36477 divided by -25? 36477/25 What is -5578504 divided by 131? -42584 67346 divided by 10 33673/5 Divide 15 by 47135. 3/9427 Divide -117722 by 2. -58861 Divide 72946 by 36473. 2 Divide 41538 by 23. 1806 Calculate -39654 divided by 1. -39654 Calculate 12411 divided by 1. 12411 Divide -202709 by 4. -202709/4 Divide -15 by -462. 5/154 Calculate 120672 divided by -288. -419 1 divided by -84674 -1/84674 What is -108752 divided by 3884? -28 Divide -359 by 189. -359/189 What is -40554 divided by -2? 20277 1183274 divided by
{ "pile_set_name": "DM Mathematics" }
ase 6. 53 -3 (base 4) to base 8 -3 9 (base 10) to base 12 9 23 (base 5) to base 3 111 What is ab (base 14) in base 13? b8 What is -a1 (base 14) in base 10? -141 What is 5 (base 16) in base 10? 5 What is 2 (base 4) in base 12? 2 What is -12 (base 4) in base 11? -6 -2 (base 11) to base 16 -2 What is 18 (base 14) in base 9? 24 27 (base 12) to base 13 25 Convert -3 (base 6) to base 3. -10 29 (base 16) to base 6 105 Convert 10 (base 2) to base 12. 2 Convert -102 (base 4) to base 11. -17 Convert 10012 (base 3) to base 13. 68 -3 (base 12) to base 4 -3 Convert 16 (base 14) to base 13. 17 2 (base 6) to base 12 2 What is 23 (base 13) in base 4? 131 Convert -1 (base 15) to base 8. -1 What is -205 (base 11) in base 5? -1442 What is 3 (base 7) in base 8? 3 -b (base 16) to base 2 -1011 Convert -11100110 (base 2) to base 4. -3212 Convert -4 (base 14) to base 8. -4 Convert 11 (base 13) to base 6. 22 What is 9 (base 16) in base 5? 14 What is 37 (base 9) in base 2? 100010 Convert 11101010 (base 2) to base 8. 352 477 (base 8) to base 10 319 What is 8 (base 14) in base 9? 8 What is 1 (base 16) in base 6? 1 What is 4 (base 11) in base 12? 4 Convert 302 (base 8) to base 6. 522 -17 (base 8) to base 3 -120 b (base 16) to base 5 21 What is -50 (base 9) in base 14? -33 Convert 0 (base 4) to base 6. 0 What is 30 (base 4) in base 6? 20 -1a (base 12) to base 2 -10110 What is 2 (base 10) in base 7? 2 Convert 4 (base 11) to base 15. 4 212 (base 4) to base 14 2a -198 (base 10) to base 8 -306 Convert -38 (base 10) to base 6. -102 Convert -2 (base 5) to base 16. -2 What is a (base 15) in base 16? a 37 (base 11) to base 7 55 Convert 1202 (base 4) to base 16. 62 What is 110000 (base 2) in base 8? 60 Convert 10 (base 2) to base 4. 2 What is -14 (base 8) in base 6? -20 -125 (base 9) to base 3 -10212 What is 8 (base 9) in base 13? 8 -2 (base 7) to base 15 -2 What is -9 (base 11) in base 9? -10 -35 (base 11) to base 6 -102 Convert 1053 (base 6) to base 14. 13b Convert 27 (base 12) to base 9. 34 -12 (base 5) to base 15 -7 Convert -1000 (base 2) to base 10. -8 What is -42 (base 10) in base 4? -222 What is -102 (base 3) in base 8? -13 Convert -4 (base 8) to base 6. -4 8 (base 11) to base 12 8 What is -4 (base 11) in base 13? -4 Convert 2 (base 5) to base 14. 2 What is -19 (base 13) in base 10? -22 -7 (base 14) to base 10 -7 Convert -a (base 15) to base 8. -12 What is 111110 (base 2) in base 12? 52 What is -13 (base 8) in base 11? -10 Convert 3 (base 11) to base 3. 10 6 (base 15) to base 14 6 -4 (base 6) to base 3 -11 Convert 10110 (base 2) to base 10. 22 Convert 1 (base 3) to base 10. 1 What is 43 (base 5) in base 7? 32 Convert -12 (base 3) to base 9. -5 What is -14a (base 15) in base 6? -1211 Convert -162 (base 7) to base 10. -93 Convert 40 (base 9) to base 16. 24 What is -20 (base 6) in base 16? -c Convert 37 (base 13) to base 5. 141 What is 11 (base 12) in base 8? 15 What is 12 (base 4) in base 9? 6 122 (base 3) to base 14 13 Convert -2 (base 10) to base 3. -2 Convert 1010000 (base 2) to base 10. 80 2 (base 15) to base 14 2 Convert -6 (base 16) to base 2. -110 Convert 53 (base 13) to base 15. 48 0 (base 16) to base 15 0 Convert 10 (base 12) to base 16. c Convert -14 (base 8) to base 14. -c Convert -1213 (base 4) to base 6. -251 5 (base 8) to base 14 5 -6 (base 8) to base 14 -6 -19 (base 10) to base 15 -14 -200 (base 5) to base 11 -46 What is 2 (base 4) in base 10? 2 Convert a4 (base 13) to base 10. 134 Convert 4 (base 6) to base 11. 4 What is -140 (base 9) in base 10? -117 What is 13 (base 5) in base 16? 8 -17 (base 13) to base 2 -10100 Convert -100 (base 2) to base 12. -4 Convert -15 (base 9) to base 12. -12 What is -19b (base 12) in base 9? -322 -17 (base 10) to base 15 -12 -6 (base 7) to base 9 -6 Convert -11 (base 2) to base 11. -3 -2 (base 3) to base 8 -2 -224 (base 9) to base 14 -d2 7 (base 8) to base 14 7 -1 (base 6) to base 7 -1 3 (base 16) to base 6 3 What is 2 (base 5) in base 7? 2 -21 (base 7) to base 8 -17 Convert 11 (base 12) to base 11. 12 What is -10 (base 2) in base 12? -2 Convert -3 (base 16) to base 7. -3 Convert 10 (base 7) to base 3. 21 What is -1100 (base 2) in base 9? -13 2 (base 3) to base 11 2 What is -3 (base 11) in base 12? -3 Convert 233 (base 6) to base 2. 1011101 22 (base 16) to base 10 34 Convert -27 (base 15) to base 2. -100101 What is -220 (base 3) in base 16? -18 What is -2 (base 8) in base 14? -2 What is -50 (base 11) in base 9? -61 -2211 (base 3) to base 2 -1001100 d (base 16) to base 13 10 0 (base 6) to base 8 0 What is 6 (base 15) in base 5? 11 What is 121 (base 3) in base 15? 11 Convert -11 (base 2) to base 5. -3 What is -11 (base 2) in base 4? -3 95 (base 12) to base 5 423 Convert 32 (base 11) to base 12. 2b What is 12 (base 9) in base 5? 21 What is 3 (base 4) in base 5? 3 Convert -5 (base 16) to base 10. -5 Convert 6 (base 7) to base 14. 6 What is -155 (base 10) in base 8? -233 -c (base 15) to base 7 -15 Convert 0 (base 11) to base 15. 0 351 (base 7) to base 15 c3 Convert -110 (base 2) to base 14. -6 Convert 3b (base 15) to base 16. 38 26 (base 9) to base 10 24 Convert -2 (base 14) to base 12. -2 -2 (base 15) to base 4 -2 What is -2 (base 10) in base 12? -2 Convert 3 (base 11) to base 12. 3 Convert -11 (base 11) to base 13. -c 20 (base 6) to base 12 10 What is -5 (base 15) in base 11? -5 What is 0 (base 7) in base 10? 0 What is 310 (base 4) in base 14? 3a 120 (base 10) to base 16 78 Convert -13 (base 12) to base 11. -14 What is 334 (base 7) in base 16? ac Convert 313 (base 9) to base 2. 11111111 What is 1 (base 12) in base 5? 1 What is 38 (base 11) in base 6? 105 -15 (base 14) to base 6 -31 Convert 11 (base 6) to base 3. 21 What is 2333 (base 4) in base 11? 164 -1 (base 11) to base 7 -1 Convert -223 (base 7) to base 2. -1110011 What is 6 (base 13) in base 10? 6 3 (base 14) to base 13 3 Convert 8 (base 15) to base 3. 22 264 (base 7) to base 13 b1 -73 (base 9) to base 10 -66 Convert 262 (base 7) to base 16. 8e What is -120 (base 3) in base 11? -14 Convert -13 (base 6) to base 8. -11 -101 (base 3) to base 11 -a Convert -12112 (base 3) to base 2. -10010101 2 (base 7) to base 10 2 What is -3 (base 7) in base 16? -3 -4 (base 6) to base 15 -4 Convert -21 (base 12) to base 10. -25 -b (base 14) to base 11 -10 1 (base 3) to base 10 1 Convert -100 (base 2) to base 9. -4 Convert 10 (base 9) to base 13. 9 What is 2 (base 14) in base 12? 2 Convert 16 (base 8) to base 9. 15 Convert 1 (base 5) to base 8. 1 What is 16 (base 7) in base 9? 14 -8 (base 16) to base 3 -22 Convert 100111 (base 2) to base 6. 103 What is -13 (base 14) in base 2? -10001 Convert -16 (base 14) to base 9. -22 -13 (base 5) to base 3 -22 What is 1 (base 8) in base 16? 1 0 (base 13) to base 6 0 What is -a (base 14) in base 8? -12 What is 6 (base 7) in base 9? 6 2011 (base 3) to base 10 58 -1111100 (base 2) to base 7 -235 Convert -35 (base 12) to base 8. -51 12 (base 3) to base 6 5 -c (base 16) to base 9 -13 -1 (base 2) to base 15 -1 -43 (base 5) to base 10 -23 Convert 5 (base 13) to base 7. 5 What is 2 (base 12) in base 10? 2 Convert 6 (base 9) to base 12. 6 -1b9 (base 12) to base 13 -18c Convert -3 (base 8) to base 13. -3 Convert 41 (base 6) to base 16. 19 Convert -1 (base 13) to base 5. -1 What is 122 (base 4) in base 16? 1a -57 (base 12) to base 5 -232 Convert -34 (base 13) to base 14. -31 -1 (base 8) to base 15 -1 Convert -2344 (base 5) to base 10. -349 What is -10100 (base 2) in base 12? -18 Convert -1302 (base 4) to base 2. -1110010 1 (base 16) to base 2 1 3 (base 5) to base 12 3 What is -21 (base 7) in base 4? -33 Convert 9 (base 10) to base 14. 9 What is -111 (base 7) in base 2? -111001 Convert 4 (base 13) to base 3. 11 What is -8c (base 14) in base 15? -84 125 (base 9) to base 13 80 What is -6 (base 8) in base 14? -6 10 (base 3) to base 10 3 What is -13 (base 6) in base 16? -9 110 (base 4) to base 3 202 What is -10122 (base 3) in base 14? -70 4d (base 15) to base 3 2201 Convert -8 (base 12) to base 16. -8 What is 15 (base 6) in base 13? b -6 (base 16) to base 10 -6 Convert -11 (base 7) to base 12. -8 What is -18 (base 12) in base 13? -17 What is -3 (base 16) in base 11? -3 What is 2 (base 9) in base 7? 2 What is 210 (base 6) in base 15? 53 What is 16 (base 15) in base 14? 17 Co
{ "pile_set_name": "DM Mathematics" }
f**2 + f**2. -2*f**2 Collect the terms in -426*x**2 + 190*x**2 - 482*x**2. -718*x**2 Collect the terms in 96*g**3 - 301*g**3 + 105*g**3 + 107*g**3. 7*g**3 Collect the terms in -105 - 103 - 199 + 2*j + 509 - 102. 2*j Collect the terms in -117*g**3 - 84*g**3 + 191*g**3. -10*g**3 Collect the terms in -55*r**2 + r + 32*r**2 - r + 60*r**2. 37*r**2 Collect the terms in 6954*h**3 - 2335*h**3 - 2306*h**3 - 2311*h**3. 2*h**3 Collect the terms in 195*j**3 + 150*j**3 - 474*j**3 + 131*j**3. 2*j**3 Collect the terms in 11962*l**2 - 343 - 11964*l**2 - 16*l + 16*l. -2*l**2 - 343 Collect the terms in -24 + 24 - 87*r + 703*r + 1604*r. 2220*r Collect the terms in -16*k**3 - 4*k**2 + 22*k**3 - 32*k**3. -26*k**3 - 4*k**2 Collect the terms in -9 - 12*x - 12*x - 7*x + 10*x**3 + 31*x. 10*x**3 - 9 Collect the terms in -190*v**2 - 511*v**2 + 140*v**2. -561*v**2 Collect the terms in 15 + 5*n - 11*n + 14*n + 5. 8*n + 20 Collect the terms in 699000*p**2 - 233004*p**2 - 232999*p**2 - 232996*p**2. p**2 Collect the terms in 20302*c - 10145*c - 28*c**2 + 4*c**2 - 10157*c. -24*c**2 Collect the terms in -n + 755 + 1062 - 104 + 643. -n + 2356 Collect the terms in -892*w**2 + 1716*w**2 - 826*w**2. -2*w**2 Collect the terms in 44 - 30 + 5*l**2 + 8*l**2 - 8*l**2 - 14. 5*l**2 Collect the terms in -7*l**2 - 38*l**2 - 37*l**2 + 66*l**2. -16*l**2 Collect the terms in 29*y + 29*y + 29*y - 89*y. -2*y Collect the terms in 4*a**2 - 6*a**2 - 45537 + 4*a**2. 2*a**2 - 45537 Collect the terms in 213*z - 6759*z**3 - 213*z. -6759*z**3 Collect the terms in -1244*x**2 - 1238*x**2 + 178 + 2483*x**2 - 178. x**2 Collect the terms in 164025 - 2*w**3 - 164025 - 18*w**3. -20*w**3 Collect the terms in 7688164 + y - 7688164. y Collect the terms in -193449*o + 14*o**2 + 0*o**2 + 193449*o. 14*o**2 Collect the terms in -31*w**3 + 84*w**3 - 27*w**3 - 33*w**3. -7*w**3 Collect the terms in 0*p**2 - 3*p**2 - 4*p**2 + 2*p - 19*p + 6*p**2. -p**2 - 17*p Collect the terms in -36258*d - 36260*d + d**2 + 108768*d - 36250*d. d**2 Collect the terms in -318 + 53 + 351*q + 265. 351*q Collect the terms in -6*o - 147189*o**3 + o + 5*o + 294403*o**3 - 147215*o**3. -o**3 Collect the terms in -41*z**2 - 77*z + 77*z. -41*z**2 Collect the terms in 2*a - 1 + 6311*a**3 + 1 - 6431*a**3. -120*a**3 + 2*a Collect the terms in 122 - 3 - 119 + 2*w. 2*w Collect the terms in 183 + 111 + 11*v - 294. 11*v Collect the terms in 376*s + 2 + 8 - 11 - 379*s. -3*s - 1 Collect the terms in -8 + 10 - 2078*t - 1476*t + 199*t. -3355*t + 2 Collect the terms in 342*b**3 - 1081*b**3 + 359*b**3 + 344*b**3. -36*b**3 Collect the terms in -42*p**2 - 60*p**2 - 28*p**2 + 27*p**2. -103*p**2 Collect the terms in -238 - 358*t + 358*t + 477 - 239 - 19*t**2. -19*t**2 Collect the terms in -8*m**3 - 1 - 14*m**3 + 39*m**3 + 1. 17*m**3 Collect the terms in 176*n - 4 - 94*n - 99*n. -17*n - 4 Collect the terms in 35285 - 35285 + h. h Collect the terms in -74*k**3 - 12*k**3 + 64*k**3. -22*k**3 Collect the terms in 0*r**2 - 2*r**2 - r - 16 - 12*r. -2*r**2 - 13*r - 16 Collect the terms in 946*g**3 + 951*g**3 + 955*g**3 - 2844*g**3. 8*g**3 Collect the terms in -65261*q**2 + 32623*q**2 + 32636*q**2. -2*q**2 Collect the terms in 453*a - 453*a - 810*a**2. -810*a**2 Collect the terms in 0 - 1556*l**3 - 2 + 1545*l**3. -11*l**3 - 2 Collect the terms in 30*i - 229*i - 43*i. -242*i Collect the terms in 11*a + 177*a**2 - 7 - 181*a**2 + 15*a - 26*a. -4*a**2 - 7 Collect the terms in 290 - 12 - u + u - 278 + 4*u**2. 4*u**2 Collect the terms in -b + 922*b**2 + 3*b + 923*b**2. 1845*b**2 + 2*b Collect the terms in 45 - 19 - 12*s**2 - 1. -12*s**2 + 25 Collect the terms in 505545 - 7*x**3 - 505545. -7*x**3 Collect the terms in 6 + 4 - 11 + 7*y**2 + 1. 7*y**2 Collect the terms in 7*m + 6*m - 7*m + 21*m - 5*m. 22*m Collect the terms in -8 + 33 + 230*g - 74*g - 12 - 12. 156*g + 1 Collect the terms in 7 - 25 + 16 + 2 + t. t Collect the terms in 4*n - 58773589 + 58773589. 4*n Collect the terms in 3*g**2 + 6*g**2 + 2140*g + 5*g**2 - 1066*g - 1074*g. 14*g**2 Collect the terms in -726*x - 729*x + 28794*x**3 + 1455*x. 28794*x**3 Collect the terms in -503 - 512 - 76*c + 1015. -76*c Collect the terms in 378*x - 941*x + 449*x. -114*x Collect the terms in 282*s**2 + 15*s**2 + 42*s**2 + 123*s**2. 462*s**2 Collect the terms in 467*m + 462*m - 86*m**3 + 467*m + 83*m**3 - 1396*m. -3*m**3 Collect the terms in -4883 + 9768 - 32*x**3 - 4885. -32*x**3 Collect the terms in 22078189 - 22078189 + 3*o**2. 3*o**2 Collect the terms in -66 - 8*t**3 + 89 - 23. -8*t**3 Collect the terms in 41*f + 282*f + 0 - 28*f + 1. 295*f + 1 Collect the terms in 288*y**2 - 575*y**2 + 1 - 1 + 281*y**2. -6*y**2 Collect the terms in -1787*c**3 + 1447*c**3 - 2109*c**3. -2449*c**3 Collect the terms in h**2 + 27436 + 16*h**2 - 32*h**2 + 10*h**2 - 27436. -5*h**2 Collect the terms in -6246*f**2 - 6248*f**2 + 24983*f**2 - 6248*f**2 - 6243*f**2. -2*f**2 Collect the terms in -28*k**3 + 460*k**2 + 274*k - 460*k**2 - 274*k - 2. -28*k**3 - 2 Collect the terms in 143*u**3 - 41*u**3 - 37*u**3 - 26*u**3 + 54 - 44*u**3. -5*u**3 + 54 Collect the terms in 16*t**2 + 1 + 13*t**2 - 3 - 12*t**3. -12*t**3 + 29*t**2 - 2 Collect the terms in -1145 + 368 + 387 + 22*v**2 + 390 + 22*v**2. 44*v**2 Collect the terms in -2*s**2 - 12*s**2 - 5*s - 138*s + 12*s**2. -2*s**2 - 143*s Collect the terms in -112*v - 6*v + 4*v. -114*v Collect the terms in 7450*u**2 + 1120*u**2 + 14221*u**2. 22791*u**2 Collect the terms in -4556*u + 7786*u + 14382*u. 17612*u Collect the terms in 465*i - 234*i + 2*i**2 - 215*i. 2*i**2 + 16*i Collect the terms in 196*w**2 + 51 - 216*w**2 - 15 - 36. -20*w**2 Collect the terms in -261*d**2 - 1 + 195*d**2 + 211*d**2. 145*d**2 - 1 Collect the terms in 8*r**2 - 179*r + r**2 + 352*r - 173*r. 9*r**2 Collect the terms in -2*c**3 - 165164*c**2 + 165164*c**2 - 4*c**3. -6*c**3 Collect the terms in -3020 + 1518 - 64*l + 1502. -64*l Collect the terms in -37 + 13*d - 30 + 104 - 37. 13*d Collect the terms in 43800181*m + 2 - 43800191*m - 2. -10*m Collect the terms in 152*s**3 - 4*s**3 - 126*s**3 + 5*s**3. 27*s**3 Collect the terms in 16481 - 16481 - 14*f. -14*f Collect the terms in -149*y + 149*y - 332*y**3. -332*y**3 Collect the terms in -8715*y**3 + 39*y**2 - 39*y**2 + 8710*y**3. -5*y**3 Collect the terms in -14081*m**2 + 3480*m**2 + 10599*m**2. -2*m**2 Collect the terms in -328*c**3 - 146*c**2 + 284*c**2 - 137*c**2. -328*c**3 + c**2 Collect the terms in 30*d + 57*d**2 - 30*d. 57*d**2 Collect the terms in -177*l**2 - 15 + 2 + 181*l**2 - 49. 4*l**2 - 62 Collect the terms in -41*r + 41*r - 2956*r**2 + 4. -2956*r**2 + 4 Collect the terms in 7*a + 5*a**2 - 205 - a**2 + 0*a**2. 4*a**2 + 7*a - 205 Collect the terms in 14 - 39 + 25 + 3*l. 3*l Collect the terms in 8*y - 3330*y**2 - 11*y + 3322*y**2. -8*y**2 - 3*y Collect the terms in 2629*i + 2577*i - 1 + 5253*i. 10459*i - 1 Collect the terms in 166*k - 1299*k + 1063*k - 2406*k - 2344*k. -4820*k Collect the terms in 10855 - 2245*z - 10855. -2245*z Collect the terms in 6*q + 4954712 - 4954712. 6*q Collect the terms in -477*y**2 - 202*y**3 - 197*y**3 - 128*y**3 + 477*y**2. -527*y**3 Collect the terms in 1 - 1 - 574164*d + 574152*d. -12*d Collect the terms in -1524*g**2 + 38*g**2 + 318*g**2. -1168*g**2 Collect the terms in 295*o**3 + 224*o**3 - 844*o**3. -325*o**3 Collect the terms in -176*q**2 - 299*q**2 + 109*q**2. -366*q**2 Collect the terms in -14075663 + 14075663 + 8*a**2. 8*a**2 Collect the terms in -162*b + 139*b + 2*b**3 + 23*b - 4*b**2 + 7*b**2. 2*b**3 + 3*b**2 Collect the terms in -3*a - 4*a + 7*a + 57*a**3. 57*a**3 Collect the terms in -88*u**3 + 147*u**3 - 107*u**3. -48*u**3 Collect the terms in 2398*n - 12 + 3 + 9. 2398*n Collect the terms in 62*z**3 + 111*z**3 - 3*z**2 - 171*z**3 + 3*z**2. 2*z**3 Collect the terms in -3*j**2 + 23842 - 11895 - 11947. -3*j**2 Collect the terms in 18*u + 560*u + 764*u - 187*u - 36 + 32. 1155*u - 4 Collect the terms in a - 103*a**3 + 102*a**3 + 4*a + 229*a**2. -a**3 + 229*a**2 + 5*a Collect the terms in -1 - 4 + 5 + 96858*l. 96858*l Collect the terms in -12*f + 1517*f + 1654*f. 3159*f Collect the terms in 17*o - o + 10*o + 5*o - 14*o - 9*o. 8*o Collect the terms in -4 + 3623*h + 2 - 3615*h. 8*h - 2 Collect the terms in 11299*r + 11295*r - 22638*r. -44*r Collect the term
{ "pile_set_name": "DM Mathematics" }
se Let t be -3*(2 + 16/(-6)). Suppose 0*s - 8 = -t*s. Suppose -5*d = -15, -4*q + 9*d - s*d = -89. Does 13 divide q? True Let g(a) = -a**2 - 35*a - 60. Is 30 a factor of g(-23)? False Let n = -26 + 46. Is n a multiple of 4? True Let l(r) be the second derivative of r**4/12 + 5*r**3/3 + 9*r**2 + 4*r. Is l(-13) a multiple of 15? False Let a(w) = -11*w - 37. Does 8 divide a(-13)? False Let v = 2 + 3. Let h = 5 - v. Suppose 2*q + q - 45 = h. Is 9 a factor of q? False Let l = -11 - -56. Is 9 a factor of l? True Let i(k) be the second derivative of -2*k + 1/2*k**3 + 0*k**2 + 0. Is 6 a factor of i(4)? True Let q(s) = -2*s - 1. Let j be q(2). Let a = j - 0. Let v = -1 - a. Does 4 divide v? True Let i(p) = -p**3 + 3*p + 2. Does 4 divide i(-2)? True Suppose 0 = 2*a + 2*a - 580. Is 11 a factor of a? False Let i(r) = 2*r**2 - 3*r + 1. Let d be i(2). Suppose w - 8 = -d*w, -2*w = -3*u - 34. Let g = 30 - u. Is 19 a factor of g? False Let b(q) = -q**2 - 5*q - 2. Let j be b(-3). Let r(z) = 3*z + 2 + 2*z**2 - z**2 + j*z**2. Is r(-2) a multiple of 13? False Suppose 2*p - 4*a = 12, 5*a + 14 = -5*p - 1. Suppose 0*q - 4*q = 5*x + 9, -2*x - 10 = p. Does 5 divide 0 + 10/q*4? True Let m(l) = -l**3 - 5*l**2 - l + 1. Is m(-6) a multiple of 14? False Suppose 2*h = -4*o + 8*o - 1150, 5*o = -2*h + 1460. Does 26 divide o? False Suppose 3*q - c - 31 = 40, -q = 4*c - 28. Let v = 41 - q. Is 5 a factor of v? False Let n be 352/(-6)*15/(-10). Suppose n = 3*u + u. Does 5 divide u? False Let u(m) = 5*m**2 - 3*m - 1. Does 25 divide u(-2)? True Let v = -50 - -147. Is 13 a factor of v? False Suppose m = 2*m + 2. Let h(v) = v**3 + 2*v**2. Let y be h(-2). Is (-1 - y - m)*12 a multiple of 6? True Suppose 1 = -3*l - 5. Suppose -3*i - i + 68 = 0. Let t = i + l. Is t a multiple of 6? False Let u be 2076/14 - (-8)/(-28). Let m = u - 93. Is 20 a factor of m? False Suppose 0 = -5*k - 28 + 8. Let l(g) = -3*g - 3. Is 5 a factor of l(k)? False Suppose 64 = 9*v - 7*v. Is v a multiple of 15? False Suppose 2*f = 3*k + 81, -6*f = -f + 2*k - 174. Is f a multiple of 12? True Suppose 4*i = -4*s + 847 + 985, -3*s = -4*i - 1402. Is s a multiple of 66? True Let r(v) = -v**2 + 16*v. Is r(11) a multiple of 12? False Let l(o) = 43*o - 18. Is l(3) a multiple of 21? False Suppose 5*a = 4*y - 79, -3*y + 31 + 33 = a. Suppose z - y = -7. Is (-500)/(-14) + 4/z a multiple of 18? True Let k(b) = b**3 - 6*b**2 - b + 6. Let r be k(6). Suppose r = -4*n - 0*n + 12. Suppose -5*z + 85 = n*i - 51, -8 = -4*i. Does 13 divide z? True Let x(h) = 3 + 0*h - 5*h**2 + h**3 - h + 4*h + 0*h**2. Let p(d) = -d**3 - 2*d**2 - 4*d - 3. Let i be p(-2). Does 12 divide x(i)? False Is 5 a factor of (-5 - -4)/((-1)/15)? True Let g(r) = -3*r**3 - 7*r**2. Let l be g(-5). Is 11 a factor of 4/(-18) - l/(-9)? True Does 13 divide (1/(-3)*8)/((-2)/39)? True Suppose m = 3*h + 284 - 114, 3*m - 480 = 3*h. Is m a multiple of 19? False Suppose -21 = -3*s + 3*b, -b = -2*s - 2*s + 22. Suppose -s*f = -5*k, -5*k - 2*f = 3*f - 50. Is 3 a factor of k? False Is (-4 - (-44)/8)*18 a multiple of 9? True Is 8 a factor of (-1 - 0 - -59) + (-80)/40? True Let a = -29 + 20. Let v(b) = b**3 + 9*b**2 - 2*b + 11. Is v(a) a multiple of 12? False Let v = 26 + 1. Does 8 divide v? False Let x(v) = 3*v + 6. Is x(5) a multiple of 7? True Let a(c) = 56*c**3 - c + 2. Does 19 divide a(1)? True Let l(n) = 2*n + 24. Is 7 a factor of l(13)? False Let a(s) = 2*s**2 - 2*s - 1. Let z be a(-1). Suppose z*g - 14 = g. Is g a multiple of 7? True Suppose -44 = -4*y + 184. Does 6 divide y? False Does 11 divide -60*(-3 - (0 - 2 - 0))? False Suppose -2*z - 58 = -5*x, 2*x + 4*z - 2*z = 26. Does 12 divide x? True Let r = 13 + -3. Does 10 divide r? True Let f be 10/(-5)*12/(-3). Is 5 a factor of 189/36 + (-2)/f? True Let i(s) = 2*s - 6*s + 4*s - s. Let m be i(-1). Is 6 a factor of 1 - (0 + (-15)/m)? False Let l(v) = -v - 2. Let b be l(0). Let g be b/8*6*-2. Is 3 a factor of (-1 - 11)/(g/(-2))? False Suppose 0 = 5*b + 1373 - 143. Does 13 divide b/(-18) + 1/3? False Does 5 divide ((-2)/3)/(12/18)*-8? False Let b(x) = 3*x**2 - 10*x - 7. Let m(t) = 4*t**2 - 11*t - 8. Let p(o) = 3*b(o) - 2*m(o). Is 3 a factor of p(9)? False Let b = 52 + -37. Let h be 48/b + 4/(-20). Suppose 3*i = 12, -4*a - i - h*i + 76 = 0. Does 10 divide a? False Let j(c) = -c + 12. Does 11 divide j(-11)? False Suppose -r = -2*r - 6. Let g(l) = -2*l - 6. Let u be g(r). Is (24/(-20))/(u/(-80)) a multiple of 9? False Let r(b) = -b**3 + 9*b**2 - 8*b + 3. Let p(x) = x**3 - 5*x**2 + 2*x - 3. Let g be p(5). Does 15 divide r(g)? True Let z = 135 - 66. Does 23 divide z? True Suppose 0 = n - 4, 5*j - 68 = 2*n + 14. Let r be 3/(-2)*(0 + 4). Let t = r + j. Does 8 divide t? False Suppose -6 = -x - x. Suppose -2*z + 4*z - x*h = 10, 3*z - 5*h = 16. Suppose 4*l = z*d + l - 24, 0 = d + 2*l - 12. Is d a multiple of 6? True Let n(m) = m - 3. Let w be n(3). Suppose 2*p = -0*p + 58. Suppose t - s - p = w, 5*t = 3*s + 130 + 9. Is 26 a factor of t? True Let b(d) = -d + 2. Let n be b(-3). Let s = 2 - n. Let h = 8 - s. Does 11 divide h? True Let p(c) = 12*c. Let s be p(4). Suppose 0*i = l - 5*i - s, -5*l + 160 = -5*i. Is l a multiple of 14? True Let v be 1 + 2/(-1) + 1. Suppose v = -7*t + 2*t + 35. Is 7 a factor of t? True Let p = -41 + 66. Does 5 divide p? True Let i = 3 - 0. Is (-1 + -50)*i/(-9) a multiple of 9? False Suppose 4*k = 4*i, 2*i - 14 = -4*k - i. Suppose 4*z - k*z - 60 = 0. Is 15 a factor of z? True Suppose -4*l - 3 = -19. Suppose 0 = 3*j - l*p - 83, -2*j + 128 = 2*j - p. Is 33 a factor of j? True Let z(f) = f**3 + 9*f**2 + 7*f + 9. Does 25 divide z(-6)? True Suppose 0*g - 38 = -3*g - 4*h, 3*g + 3*h - 33 = 0. Let a(y) = y**2 - 5*y + 9. Let r be a(g). Suppose -2*z + r = -15. Is 15 a factor of z? True Suppose 150 = -4*m - 6. Let q = 98 + m. Is q a multiple of 13? False Is 21 a factor of ((-93)/(-4))/(2/8)? False Let g = -20 - -24. Suppose -9*k + g*k = -130. Is k a multiple of 13? True Let l = 464 - 305. Does 32 divide l? False Suppose 0 = -3*r - 8 + 20. Let h(v) = v + 4*v**2 + 2 - v**3 + 2 + 0*v**3. Does 3 divide h(r)? False Let b = 844 - 575. Does 38 divide b? False Let w(v) = -v**2 + v + 11. Suppose -2*i + 2*y = -10, -5*y - 11 = -2*i + 8. Let p be (0/(6/i))/3. Is 3 a factor of w(p)? False Let j(z) = -z**3 + z. Let c be j(0). Let m be ((-30)/4 + c)*-2. Is m/12*4*6 a multiple of 15? True Let v(z) = -30*z - 3. Let x be v(-1). Suppose 0 = -3*o - j + x + 36, -4*o = 3*j - 84. Does 7 divide o? True Let d = -1 + 1. Suppose 6*f - 2*f - 16 = d. Suppose f = -4*p + 28. Is p a multiple of 3? True Suppose -11*f + 13*f = 98. Does 7 divide f? True Suppose 0 = 8*g - g - 287. Does 11 divide g? False Let j = 12 + 1. Is 2 a factor of j? False Let t(f) = f**2 - 15*f - 66. Is t(28) a multiple of 10? False Let y = -9 - -16. Let k(s) = s**3 - 8*s**2 + 9*s - 6. Is k(y) a multiple of 4? True Suppose p - 14*p + 195 = 0. Does 15 divide p? True Let b = -16 + 9. Let u(d) = d**2 + 4*d + 9. Is 11 a factor of u(b)? False Let r = 39 - 21. Suppose -4 = -2*u, k - 3*u = r + 5. Is 11 a factor of k? False Suppose 4*b + m = 0, 2*m + m = 0. Does 5 divide 1 + (b + 16)/4? True Let i = 4 + -4. Let z be (-20)/(-6) + (-2)/6. Suppose i = -0*b + z*b - 30. Does 10 divide b? True Let i be -1*(-4)/((-8)/6). Let v be (21 - 0)/(i/4). Let b = -15 - v. Does 9 divide b? False Does 11 divide (0 + 1)/(6 + (-231)/39)? False Is 14*(96/7)/4 a multiple of 8? True Let f(a) = 13*a - 4. Let r(j) = j + 6. Let y be r(-3). Is f(y) a multiple of 13? False Let s(h) = -h**3 + 6*h**2 - 5*h + 1. Let x be s(5). Is (x + (-4 - -1))*-1 a multiple of 2? True Let y(x) = 4*x**2 + x - 1. Let s be y(1). Suppose 0*d - 220 = 2*d + 4*i, s*d + 466 = 5*i. Is 9 a factor of ((-6)/9)/(4/d)? False Suppose -3*m - 2*i - 212 = 0, -m = m + 2*i + 144. Let a = m - -156. Is a a multiple of 25? False Suppose -94 = -4*k - 3*r + 18, k + 5*r = 11. Suppose 4*o + k - 247 = 0. Is 27 a factor of o? True Let l be (-1 - -29) + 0/(-3). Suppose 0*f - f + 8 = -2*r, -l = 4*r - 5*f. Is r/5 + (-47)/(-5) a multiple of 4? False Let z = -8 - -67. Is 9 a factor of z? False Suppose -x = 3*x - 8. Suppose 46 = -3*g + x*k - 11, -3*g = k + 48. Let y = g - -47. Is 10 a factor of y? True Suppose 4*t - 8*t + 88 = 0. Does 17 divide t? False Let t be (14/(-35))/(1/(
{ "pile_set_name": "DM Mathematics" }
rt(12)/sqrt(4) + 0 + sqrt(21)/(sqrt(21)/sqrt(3)*-1))**2 - ((-1 + sqrt(75) + 2 - (5 + sqrt(75) + 0))*-6)**2. -576 Simplify (sqrt(960) - (sqrt(960) - 6*sqrt(960)*-2))/(sqrt(27)*2*5) + -2. -16*sqrt(5)/5 - 2 Simplify (3*(sqrt(108) + 2*(sqrt(108) + sqrt(108)*-2 + sqrt(108)) + sqrt(108) + 3)*-2*-5)**2*-5 + -4. -1984504 - 324000*sqrt(3) Simplify ((sqrt(56) - ((sqrt(1400) - -2*sqrt(1400) - sqrt(56)) + sqrt(56)))/((2*sqrt(288) - sqrt(288)) + sqrt(288)) - 1*(4 + -3*(sqrt(7) - sqrt(28)) + -5))**2. -25*sqrt(7)/3 + 4411/36 Simplify -1*((sqrt(42)/sqrt(3)*5)/(sqrt(8)/sqrt(4)*-2 - sqrt(2)) + -4 + (1 + sqrt(700) - (sqrt(7) - (-3 + sqrt(28)/sqrt(4)))))**2. -4699/9 + 100*sqrt(7) Simplify -4*(-4 + (sqrt(931) + -1 + 0 + (-1*(-2*sqrt(931) - sqrt(931)) - sqrt(931)) - (0 + (2*sqrt(931) - sqrt(931)) + 1*sqrt(931)*-2))**2 + 1). -59576 + 224*sqrt(19) Simplify ((5*sqrt(210)/sqrt(96)*1)/((sqrt(448) + (-1*sqrt(448) - sqrt(448)))*-2*-1))**2. 125/4096 Simplify -1*(-2 + 4*(5 + -2 + sqrt(2880)))*5. -480*sqrt(5) - 50 Simplify (0 + -2*(sqrt(720) - (2 + sqrt(720))) + 2)**2 + 6*((sqrt(720) - -6*(sqrt(720) + 2 - sqrt(720)))**2 + sqrt(720))*1. 1800*sqrt(5) + 5220 Simplify ((-5 + -1*sqrt(684) - sqrt(684) - (sqrt(684) - (3 + sqrt(684))*2) - ((sqrt(684) - (sqrt(684) + -2))*-1 + -4)*2)*-2)**2. -624*sqrt(19) + 3412 Simplify (0 + 1*sqrt(1100))**2 + -2 + sqrt(1100) + 5 + 4*4*sqrt(99)*-4. -182*sqrt(11) + 1103 Simplify (((-2*sqrt(2304) + 1*sqrt(900))*-1)/((sqrt(12) + sqrt(12)*1)*-2 + sqrt(12) + sqrt(12) + sqrt(24)/sqrt(2)*6))**2. 363/16 Simplify (3*(5*sqrt(12) - sqrt(3)) + -5 + sqrt(108) + -3 + 3 + -4)**2. -594*sqrt(3) + 3348 Simplify 1*(2*(sqrt(1331) + 1 + sqrt(1331)))**2 + ((sqrt(891)*-1*-3 + sqrt(891))**2 - sqrt(891) - (sqrt(891)*1 + -2 - sqrt(891))). 167*sqrt(11) + 35558 Simplify -4 + ((0 + sqrt(99) - sqrt(99))*4 - (sqrt(99) + 0 + sqrt(99) + -1 + sqrt(99) + sqrt(99)))**2 - (2 + 2 + (sqrt(99)*-1 + sqrt(99))**2 + 4). -24*sqrt(11) + 1573 Simplify (6*(4*sqrt(360)*3 + sqrt(360) - sqrt(360) - sqrt(360)))/(6*(sqrt(405) + sqrt(405) + sqrt(405)*2*-6 + sqrt(405))). -22*sqrt(2)/27 Simplify (3 + (-5*(sqrt(68) - (0 + sqrt(68) + sqrt(68) + 1 + sqrt(68))) - (sqrt(187)/sqrt(539) - (-3 + sqrt(17) + 2))))**2. 292*sqrt(17) + 364773/49 Simplify (-1*sqrt(55)*4)/(4*(sqrt(11) + (sqrt(11)*-1 - sqrt(11)))) - ((sqrt(450)/sqrt(36))/(-2*sqrt(160)))**2. -5/256 + sqrt(5) Simplify 0 + ((sqrt(5040) - sqrt(5040)*3*-4)/(sqrt(500) - sqrt(20) - (sqrt(5) + (sqrt(15)*-1)/sqrt(3))))**2. 10647/4 Simplify ((sqrt(450) - 2*sqrt(450))*4*1)/(-4*6*(sqrt(160)*-1 + sqrt(160) + sqrt(160) + sqrt(160) - sqrt(10))) + -4. -4 + sqrt(5)/14 Simplify (1*sqrt(7)*-3 + (sqrt(7) - (-3 + sqrt(252))))**2 - (sqrt(112) + sqrt(112) + (sqrt(112) + sqrt(112)*-1 + -5)**2 + (1*sqrt(112)*4)**2). -1360 - 56*sqrt(7) Simplify ((sqrt(432) + -1 - sqrt(432))**2*4 - ((sqrt(300) + sqrt(300) + -3 + sqrt(12))*2)**2) + -4. -5844 + 528*sqrt(3) Simplify ((sqrt(168) - (sqrt(168) - -1*(sqrt(168) - 2*sqrt(168))) - sqrt(168))/((sqrt(88)/sqrt(2))/sqrt(11)))/(sqrt(6) + -4*sqrt(726) + sqrt(6) + 4*sqrt(486)). 0 Simplify ((sqrt(700) + 0 - -1*sqrt(7)*3) + (6*sqrt(112) + sqrt(7))*-3 + (-1*sqrt(700) - sqrt(700))*-2 + sqrt(1008)*-1 + -5)**2. 340*sqrt(7) + 8117 Simplify ((-4*1*sqrt(133))/sqrt(7) + sqrt(38)/sqrt(2) + -2 + -1 + -4 + -2)*-3. 27 + 9*sqrt(19) Simplify (sqrt(420)/(3*sqrt(700))*-3)/(sqrt(144)/(sqrt(48)/sqrt(4)) + (sqrt(12) - (sqrt(72) + -3*sqrt(72) + sqrt(72) - sqrt(72))/sqrt(6) - sqrt(12))). -sqrt(5)/30 Simplify ((sqrt(637) - (1 + sqrt(637)*-5))**2 - sqrt(637)) + 4 + 2*(-4 + (sqrt(468) - (sqrt(468) - sqrt(468)*-5) - sqrt(468)))**2. 485*sqrt(13) + 56665 Simplify (-4*sqrt(88)*2)/(sqrt(32) - 2*sqrt(1568)) + -1. -1 + 4*sqrt(11)/13 Simplify ((sqrt(72) + sqrt(72)*3*6 - sqrt(72) - (sqrt(72) + sqrt(72) + 1 + 0)) + 0 + 6*(0 + sqrt(72)) + -1*(sqrt(72) - (1 + sqrt(72))))**2. 34848 Simplify ((-6*sqrt(11)*-2*4)**2*-6 + ((sqrt(55)*-2)/sqrt(5) - (2 + -1*sqrt(11)))*-6)*-3. -18*sqrt(11) + 456156 Simplify ((4*sqrt(1936)*-1*2)/((sqrt(16)*-1)/sqrt(2) - 6*sqrt(1152)))**2. 15488/5329 Simplify (((3*sqrt(288)*-3)**2 - (sqrt(288) + -4*(-1 + sqrt(288) + sqrt(288)))) + -2*(sqrt(288) + 1*sqrt(288)*-4 + sqrt(288) + (sqrt(288) + 0)*-4))*4. 912*sqrt(2) + 93296 Simplify (sqrt(30)/(sqrt(12)/sqrt(4)))/(-2*sqrt(2)*-1) + (sqrt(2420)*2)/(5*sqrt(36) + sqrt(4)). 15*sqrt(5)/8 Simplify (4*(0 + sqrt(200)) - (sqrt(200) + (sqrt(200)*2)**2 - sqrt(200))*-6) + (4 + (sqrt(200) - (5 + sqrt(200)*1)))**2 + -3. 40*sqrt(2) + 4798 Simplify (sqrt(612) + sqrt(612) + sqrt(612)*-3 + 4 - (-3*(sqrt(612) + 2) - sqrt(612))) + (-2*sqrt(612) + 0 - (sqrt(612) - -1*3*sqrt(612)))**2. 18*sqrt(17) + 22042 Simplify ((3*-2*sqrt(800) + sqrt(800) + -4*((1*sqrt(800) + sqrt(800) - sqrt(800)) + sqrt(800)))/(sqrt(32)/sqrt(2) + -4*-2*sqrt(4))*-4)**2. 5408 Simplify (4*sqrt(18)*3 + -6*sqrt(72)/sqrt(4))/((((sqrt(81) + (sqrt(81)*1 - sqrt(81)))*-6 - sqrt(81)) + sqrt(81))/(1*sqrt(576) + sqrt(576) - sqrt(576))). -8*sqrt(2) Simplify (1 + ((-1 + 2*sqrt(1584))*3 - (-1 + -2*(1 + sqrt(1584)))))**2 + 0. 192*sqrt(11) + 101377 Simplify (sqrt(250) + -1*sqrt(250)*-2 + sqrt(250) + sqrt(250) + (sqrt(250) - -1*-2*sqrt(250)))/((sqrt(25)*2)/sqrt(5) - sqrt(720)*-3). 10*sqrt(2)/19 Simplify (sqrt(144)*-3 + sqrt(36))/(sqrt(36)/sqrt(3)) + (sqrt(12) - (sqrt(96)/sqrt(8))**2) + 1 + sqrt(108)/(sqrt(9)*3) + -3. -14 - 7*sqrt(3)/3 Simplify -4 + (-1 + 1 + sqrt(72) - (sqrt(72) + 0 + 1))**2 - (((sqrt(72) + 5)*5)**2 + 5*(2 + sqrt(72))). -2438 - 1530*sqrt(2) Simplify ((((sqrt(175) - (sqrt(175)*-1*-6 - sqrt(175))) + sqrt(175) + sqrt(175))/(sqrt(720) + sqrt(45))*6)/(5*1*sqrt(7)*-3 - (sqrt(700)*-1*2 - sqrt(700))))**2. 16/1125 Simplify 3*(6*(sqrt(95) + sqrt(95) + -6*(-4*sqrt(95) + sqrt(95))))/(sqrt(50)/(sqrt(360)*3)). 6480*sqrt(19) Simplify (-2 + (4*sqrt(12)/sqrt(3)*-4)/((sqrt(198) + (sqrt(198) - -1*sqrt(198)))/sqrt(11)))**2. 64*sqrt(2)/9 + 836/81 Simplify ((5*(sqrt(1700) + -2 + -5*sqrt(85)/sqrt(5)) + -5 + 4 + sqrt(612)*1)*1)**2. -682*sqrt(17) + 16458 Simplify ((5 + (sqrt(2048) - (-1 + (2*sqrt(2048) - sqrt(2048) - sqrt(2048)))) + 1*(1 + sqrt(2048) + 3))*-4)**2. 20480*sqrt(2) + 132672 Simplify ((sqrt(5) + sqrt(5)*-2)**2*4 + 1 - (-2 + (sqrt(40)/sqrt(2))/sqrt(4) + sqrt(5))) + (-1*sqrt(55)*4)/(sqrt(44)*1). -4*sqrt(5) + 23 Simplify sqrt(275)*-1 + sqrt(275) + sqrt(11) + (sqrt(176)*-2)**2 - (-5*(sqrt(11) + 0)**2 + (sqrt(11) - (sqrt(11) - 5*3*sqrt(11)))). -14*sqrt(11) + 759 Simplify -2*(sqrt(44)/(sqrt(8)/sqrt(4)) + -2*sqrt(198))/(3*sqrt(11)*-1 - (sqrt(99)*2 + sqrt(99))). -5*sqrt(2)/6 Simplify (-3*(sqrt(297)*-3 + sqrt(33))*-3)/((1*(sqrt(3)*-2 - sqrt(3)) - (sqrt(3) + 2*sqrt(3))*-3)*3). -4*sqrt(11) Simplify (-5*((-3*(sqrt(200) - sqrt(200)*1) - ((sqrt(200) + sqrt(200)*-1 + sqrt(200))*-6 + sqrt(200)))/(sqrt(40)/(sqrt(324)*-1 - sqrt(324))) + -4))**2. 36000*sqrt(5) + 4050400 Simplify (sqrt(56)/sqrt(8) + -3 + 3 + sqrt(14)/sqrt(2) - 2*(sqrt(7) - -4*sqrt(343) - sqrt(7))*3)**2. 192892 Simplify ((sqrt(187) - (sqrt(187) + sqrt(187) + (sqrt(187) - -2*sqrt(187)*-2))) + (sqrt(187) - (sqrt(187) + sqrt(187)*-3)*4))/((sqrt(396)*-2)/sqrt(9)*-6) + 4. 11*sqrt(17)/24 + 4 Simplify (((-1*-1*sqrt(605))**2 + sqrt(605) + 0 - (2*sqrt(605) + 1 - (-6*((-2*sqrt(605))**2 - sqrt(605)) + sqrt(605)))) + 3)*3. -41739 + 198*sqrt(5) Simplify 5 + (sqrt(405) + 4 - (sqrt(45) + -1 + 1))**2 + (sqrt(45) - ((sqrt(135)*-2)/sqrt(3))**2 - 6*sqrt(405)). -3*sqrt(5) + 21 Simplify (4*((1 + sqrt(637))*2 + sqrt(637) + sqrt(637) + sqrt(637)*1*-3))**2 + (6*-3*sqrt(91))/(2*sqrt(1008) - sqrt(1008)). 893*sqrt(13)/2 + 10256 Simplify (6*1*(sqrt(130) + (sqrt(130) - sqrt(130)*2) + sqrt(130))*3)/(4*(sqrt(250) + (sqrt(250) - (sqrt(250) - (sqrt(250) - sqrt(250)*-2 - sqrt(250)))*-3))). -9*sqrt(13)/10 Simplify ((sqrt(84)*-1*6*-4*6)/(-3*1*sqrt(192)*-5))**2. 1008/25 Simplify (-3*(sqrt(21) - 4*sqrt(21)) + (4*sqrt(231) + sqrt(231) + sqrt(231))/sqrt(11))/(-4*sqrt(700) - (sqrt(21)*5)/sqrt(3)). -sqrt(3)/3 Simplify -5 + -2*(((0 + sqrt(2299))*-5 + 3)**2 + -3)*-4 + 3. -2640*sqrt(19) + 459846 Simplify 1*(sqrt(1575) - sqrt(1575)*1)**2 - (-2*(-2 + sqrt(7) + 1 + 3*sqrt(63) + sqrt(7)))**2. -3392 + 88*sqrt(7) Simplify (0 + ((sqrt(231) + -2*sqrt(231))/sqrt(7)*-4)/((sqrt(192) + sqrt(12))*1 - sqrt(12)))*-4. -2*sqrt(11) Simplify ((-1 + 2*sqrt(1573) + sqrt(1573) + sqrt(1573) + sqrt(
{ "pile_set_name": "DM Mathematics" }
3*c - 2. Let o = 4 + 10. Calculate the remainder when (-1)/((-8)/a)*-164 is divided by o. 13 Let u(j) = j**3 + 5*j**2 - 7*j + 4. Let h be -5*(0 + (-12)/(-10)). What is the remainder when u(-6) is divided by 2/h + 13/3? 2 Suppose 6*n = n + 10. What is the remainder when 6 is divided by n? 0 Let s = -94 + 142. Suppose 2*c = -2*d + 18, -2*d + c = -3*c - s. What is the remainder when 0 + (-2)/2 - -41 is divided by d? 12 Let a = -8 - -10. Suppose -3*q = m - 2*m + 43, 5*q + 82 = a*m. Calculate the remainder when 123 is divided by m. 30 Let o(f) = f**3 - f**2 + 2*f + 31. What is the remainder when 61 is divided by o(0)? 30 Let l = 22 - 13. Suppose 5*m - 3 = -2*q + 5, 3*m = -2*q + 4. Suppose -m*k + 11 = -23. What is the remainder when k is divided by l? 8 Let j = -17 - -67. Calculate the remainder when j is divided by 13. 11 Let d = 7 + 16. Let s(w) = w**2 + 2*w + 6. Let g be s(-4). Let f = g + -6. What is the remainder when d is divided by f? 7 Calculate the remainder when -1 - 3 - -1*93 is divided by 13. 11 Let k(u) = 9*u**2 - 9*u - 4. What is the remainder when 54 is divided by k(2)? 12 Suppose 76 = h + 3*h. Let o(b) be the third derivative of -b**5/60 - 7*b**4/24 - 2*b**2. What is the remainder when h is divided by o(-5)? 9 Let i = -1 - -2. Calculate the remainder when 3*(12 - 1)*1 is divided by (-3 - -2)/(i/(-17)). 16 Let n(y) = 6*y - 6. Let v be (-584)/(-16) + 2/4. Let c = -24 + v. Calculate the remainder when n(5) is divided by c. 11 Let w = 1 + -5. Let t(j) be the second derivative of j**5/20 + 5*j**4/12 - 2*j**2 + 2*j. What is the remainder when t(w) is divided by 7? 5 Let a = 52 - 35. Let u = a - 13. Calculate the remainder when ((-11)/3)/(1/(-3)) is divided by u. 3 Let q be 16/20*(-3 + -2). Calculate the remainder when 3 is divided by (-1)/q - (-35)/20. 1 Suppose -s - 2*z = -20 - 6, 0 = -3*s - 2*z + 62. What is the remainder when 86 is divided by s? 14 What is the remainder when 27 is divided by 5/20 + 110/8? 13 Suppose t + 2*w + 0 = -10, -5*w - 31 = 4*t. Let f = t + 10. Suppose 64 = 2*x + f. Calculate the remainder when x is divided by 16. 13 Let f be (3/(-1) + 4)*3. Suppose -2*h - 15 = -f*h. What is the remainder when h is divided by 9? 6 Let y be (1/(-2))/(1/20). Let n = -1 - y. Suppose 4*l - l = 75. Calculate the remainder when l is divided by n. 7 Suppose 2*b = -b. Let c(d) = d + 4. Let j = 24 - 14. Calculate the remainder when j is divided by c(b). 2 Let j(s) = 3*s**2 + s**3 + 4*s**2 - 9*s**2 + 3 - 6*s. Calculate the remainder when 19 is divided by j(4). 8 Let z = -22 - -33. Suppose 3*c + 5*a - 52 = c, -2*a = 4. Calculate the remainder when c is divided by z. 9 Suppose -z + 0*k = -5*k - 22, -3*z + 4*k = -66. Suppose d + 4*d = 60. What is the remainder when z is divided by d? 10 Let l be 1 + -1 - (-2 - -13). Let x = 8 - l. What is the remainder when 36 is divided by x? 17 Let x(p) = -6*p + 74. What is the remainder when x(11) is divided by 8? 0 Suppose 3*m - m + 18 = -3*g, -4*m - 3*g - 24 = 0. What is the remainder when 65 is divided by m - (-4 + 3)*25? 21 Let u(c) = c - 1. Let d(s) = -5. Let a(l) = -d(l) + 3*u(l). Calculate the remainder when 1*(64/1)/2 is divided by a(5). 15 Let x(r) = 2*r - 6. Let m be x(5). Let p(s) = -m + 6*s - 4 - 2*s. Calculate the remainder when p(6) is divided by 6. 4 Let x(w) = w + 24. Let f(s) = -s + 54. Calculate the remainder when f(0) is divided by x(-10). 12 Suppose -3*i + 5*k = -43, 0 = -5*i - 3*k + 7*k + 63. Calculate the remainder when 108 is divided by i. 9 Let u(j) = 2*j**2 + 5*j - 1. Let z be u(2). Let k = 34 - z. Calculate the remainder when k is divided by 6. 5 Let h be (58/6)/((-9)/(-27)). Suppose h = t - 3*b, 15 = -2*t - b + 38. Calculate the remainder when t is divided by 8. 6 Let s(b) = -7*b + 5. Suppose 2*a = 13 + 5. What is the remainder when s(-3) is divided by a? 8 Suppose -3*x - 13 = -4. What is the remainder when -7*7/((-35)/5) is divided by (-16)/(-6) + x/(-9)? 1 Let j be 4/(-2 + 4 + -1). Let t = j + -3. What is the remainder when (-4)/6*3/(-2) is divided by t? 0 Let s(x) = 3*x**2 - x + 1. Calculate the remainder when 4 is divided by s(1). 1 Let t(s) = -17*s + 10. Let c(i) = 8*i - 5. Let n(p) = 5*c(p) + 2*t(p). What is the remainder when n(6) is divided by 11? 9 Let c = -33 + 52. Calculate the remainder when 33 is divided by c. 14 Let v(g) = -10*g + 4. Suppose d - 6 = w - 3, -2*w = -3*d + 6. What is the remainder when v(w) is divided by 38/3 - 4/6? 10 Suppose -4*h - 4*f + 68 = 0, 2*h - 5*f - 34 = -f. Suppose 697*p - 403 = 684*p. What is the remainder when p is divided by h? 14 Let w(o) = o**2 + 4*o - 3. What is the remainder when (-11 + 14)*(-14)/(-6) is divided by w(-5)? 1 Let g = 59 - -20. What is the remainder when g is divided by 40? 39 Let w(l) = -l**2 - 56. Let h be w(0). Let b = 140 - 234. Let p = h - b. What is the remainder when p is divided by 13? 12 Let p(d) = -4*d - 26. What is the remainder when 17 + (2 - 0/(-1)) is divided by p(-9)? 9 Let c(y) = 16*y - 3. Let q be c(3). Let h = q - 24. Suppose -h = b - 4*b. What is the remainder when 20 is divided by b? 6 Let m(x) = 6*x - 26. Calculate the remainder when 45 is divided by m(6). 5 Let g = 36 - 20. Let k = 25 - -5. What is the remainder when k is divided by g? 14 Suppose 4*l - 4 = 6*l, -58 = -2*p - l. Calculate the remainder when 116 is divided by p. 26 What is the remainder when 26 is divided by (3*7)/((-60)/(-40))? 12 Let x(j) = j**3 - 2*j**2 - 6*j + 1. Calculate the remainder when 24 is divided by x(4). 6 Calculate the remainder when 23 is divided by 12/(3/1) - -2. 5 Let x = -15 + 34. What is the remainder when 37 is divided by x? 18 Let q(u) = -u**3 - 6*u**2 - 5*u + 3. Let v be q(-4). Let m = 21 + v. Calculate the remainder when 35 is divided by m. 11 Let j = 5 + -22. Let y = -6 - j. What is the remainder when 31 is divided by y? 9 Suppose -9 = -2*a + 45. Let t(o) = 13*o**3 + o**2 + o - 1. Let q be (1/(-2))/(1/(-2)). What is the remainder when a is divided by t(q)? 13 Suppose -28 + 72 = 5*y - 4*h, -2*y + 12 = -3*h. Calculate the remainder when y is divided by 7. 5 Let b(r) = -r - 4. Let i be b(6). Let s be 4*(i/(-4))/5. Let x = s + -1. Calculate the remainder when 2 is divided by x. 0 Suppose 0 = -5*k + 6 + 4. Suppose m = -s + 10, m + 3*m = -s + 25. Calculate the remainder when m is divided by k. 1 Calculate the remainder when 97 is divided by 43 + -17 - (-1)/1. 16 Suppose -20*b + 252 = -11*b. Calculate the remainder when 55 is divided by b. 27 What is the remainder when 1/(-4) - 423/(-12) is divided by 19? 16 Let h = -33 + 55. Let f(x) be the third derivative of -x**6/120 - x**5/20 - x**4/8 + x**3/2 + x**2. What is the remainder when h is divided by f(-3)? 10 Let p(z) = -z**2 - 7*z + z - 2 + z. Let c be p(-4). Let q = c + 19. What is the remainder when q is divided by 11? 10 Let d(g) = -g**3 - g**2 + 18. Let b be d(0). Let q = 25 - b. What is the remainder when q is divided by (-14)/(-4) - (-2)/4? 3 Let t = 13 + -9. Let z = 4 - t. Suppose -2*m + 4 = -z. Calculate the remainder when 5 is divided by m. 1 Let r(i) = -i**2 - 3*i + 3 - 1 - 3 + 7*i. Let c be r(3). Suppose x = s + 33, s = 2*x - c*s - 69. What is the remainder when x is divided by 11? 8 Let y(q) = -3*q - 1. Calculate the remainder when 67 is divided by y(-6). 16 Let r = 17 - 12. What is the remainder when 7 is divided by r? 2 Suppose 0 = 3*l - 2*z - 3, l + 8 + 1 = 4*z. Let q(m) = m**3 - 3*m**2 + m + 4. Calculate the remainder when 12 is divided by q(l). 5 Suppose 0 = 5*p - 10, p + 3*p = -5*g + 343. What is the remainder when g is divided by 17? 16 Suppose -7*t + 8*t = 50. What is the remainder when t is divided by 26? 24 Let u(j) = -j**2 - 13*j - 7. What is the remainder when 12 is divided by u(-12)? 2 Let b(y) = y**3 - 13*y**2 + 13*y + 13. What is the remainder when b(12) is divided by 9? 7 Suppose 4*a + 5*l = -a + 210, -3*a + 134 = -5*l. What is the remainder when a is divided by 9? 7 Let a be (-2 - -52)*(-1 - -2). Let d = a - 84. Let p = d + 69. What is the remainder when p is divided by 9? 8 Suppose 7 - 2 = m. Calculate the remainder when 7 is divided by m. 2 Let v = -23 + 81. Calculate the remainder when v is divided by 10. 8 Let i = 90 + -50. Let u(p) = p**3 - 2*p**2 + p + 2. Let h be -1*(-6 - -2) - 1. Calculate the remainder when i is divided by u(
{ "pile_set_name": "DM Mathematics" }
(s) = -s**2. Let j(v) = 3*v**3 - 2*v**2. Give j(k) - 2*p(k). 3*k**3 Let a(w) = w + 1. Let g(d) = 4*d + 3. Suppose 0*j = 4*j. Suppose 4*k + 16 + 12 = j. Give k*a(o) + 2*g(o). o - 1 Let y(k) be the second derivative of -k**4/6 + 5*k**3/6 - 2*k**2 - 8*k. Let o(u) = 5*u**2 - 14*u + 11. Determine 3*o(r) + 8*y(r). -r**2 - 2*r + 1 Let s(k) = 2*k**2 - 3*k + 2. Suppose j - 3 = -1. Suppose -5 = -4*u + 3*t + 4, -j*u = 2*t - 8. Let r(y) = 5*y**2 - 7*y + 5. Calculate u*r(b) - 7*s(b). b**2 + 1 Let s(w) = 2*w - 6. Suppose 4*g = -4*i - 16, 0 + 12 = -3*g. Suppose i = x - 17 + 16. Let n(a) = -1. What is x*s(c) - 5*n(c)? 2*c - 1 Let v(i) = -2*i + 2. Let l(q) = 2*q - 2. Let m(p) = 4*l(p) + 5*v(p). Let o(y) = 6*y - 6. Calculate 14*m(n) + 5*o(n). 2*n - 2 Let x(s) = -2*s + 3. Let l(q) = -q**2 - 5*q + 7. Let y(a) = -2*l(a) + 5*x(a). Let r(z) be the first derivative of 2*z**3 + 3*z + 1. Give -4*r(w) + 11*y(w). -2*w**2 - 1 Let a(t) = -5*t**2 + 2*t + 11. Let m(w) = 14*w**2 - 5*w - 32. What is -17*a(l) - 6*m(l)? l**2 - 4*l + 5 Let n(o) = -o. Let f(r) = 4 + 5*r - 3 + 1 + 2*r**2. Calculate f(d) + 5*n(d). 2*d**2 + 2 Let w(r) = r**3 - 5*r**2 + 9*r - 4. Let x(d) = d**3 - 5*d**2 + 8*d - 3. Give 3*w(q) - 4*x(q). -q**3 + 5*q**2 - 5*q Let w(q) = -3*q + q + q. Suppose 8 = 4*b - 8*b. Let f(h) = h + 1. What is b*f(o) - 4*w(o)? 2*o - 2 Let q(y) = -8*y + 3. Let a(d) = -42 + 11 + 105*d - 9. Give 3*a(f) + 40*q(f). -5*f Let v = 1 + 1. Suppose 2*t + v*t = 8. Let q be (-1)/t*(1 + 3). Let s(d) = 5*d + 4. Let m(h) = -h - 1. What is q*s(z) - 9*m(z)? -z + 1 Let k(u) be the first derivative of -u**4/4 - 8*u**3/3 + 3*u**2 + 3. Let p(n) = -n**2 + n. Determine k(s) - 6*p(s). -s**3 - 2*s**2 Let i(t) = t + 1. Let a be (2 - 3 - -4) + 2. Let z(n) = n**3 + 2*n**2 - 7*n - 5. Determine a*i(u) + z(u). u**3 + 2*u**2 - 2*u Let f be (3 + -1)*1/(-2). Let i(r) = 2*r**2 - r - 2. Let c(g) = g - 1. Determine f*c(v) - i(v). -2*v**2 + 3 Let n(o) = -2*o + 19. Let y(g) = -g + 10. Give -6*n(v) + 11*y(v). v - 4 Let m(h) = 5*h**3 + 2*h + 1. Let u(f) = -4 + 5*f**3 + 15 - 9 + 3*f + f**3. Determine 3*m(a) - 2*u(a). 3*a**3 - 1 Let o(r) = 6*r - 3. Suppose x = 4*g - 9, 2*g - 5*g + 9 = 0. Suppose -z + x*z - 8 = 0. Let n(w) = 2*w - 1. Calculate z*o(d) - 11*n(d). 2*d - 1 Let j be 5/(-3) + (-261)/(-27). Let o(v) = 6*v**3 - 2*v**2 - 8*v + 2. Let h(i) = 2*i**3 + i - 3*i - i**2 - i + 1. Determine j*h(k) - 3*o(k). -2*k**3 - 2*k**2 + 2 Let s(u) = -u**2 + u. Let j(k) = -k**3 - 11*k**2 - 10*k + 2. Let c be j(-10). Let y(f) = 3*f**2 - 2. Determine c*s(q) + y(q). q**2 + 2*q - 2 Let f(g) = g**2 - 8. Let c(l) be the third derivative of l**3/6 - 9*l**2. Determine 24*c(v) + 3*f(v). 3*v**2 Let b(j) = -10*j**2 + 3*j - 3. Let y(u) = 189*u**2 - 56*u + 56. Determine 56*b(l) + 3*y(l). 7*l**2 Let q(i) = -i**3 + i**2 - 3*i + 7. Let o be q(0). Let j(s) = -6*s. Let x(w) = 13*w. Determine o*j(v) + 3*x(v). -3*v Let v(q) = -3*q**3 + 24*q + 4. Let m(z) = -z**3 + 1. Determine -4*m(t) + v(t). t**3 + 24*t Let u(p) = 5*p - 1. Let s(c) = c - 1. Determine 3*s(n) - u(n). -2*n - 2 Let b(z) be the second derivative of -z**3/6 + z**2 + 10*z. Let h(p) = -4*p + 9. Suppose 0 = -3*j + 2*j - 9. Determine j*b(o) + 2*h(o). o Let w(k) = -4*k - 2. Let m(l) = -4*l - 2. Give 2*m(t) - 3*w(t). 4*t + 2 Let h(v) = 2*v + 0 - 3 - 1 - 14. Let z be h(12). Let l(b) = -7*b + 2. Let w(k) = -k. What is z*w(r) - l(r)? r - 2 Let x be 3 + -6 + (7 - -1). Let i(y) = -3*y - y**2 + x*y - 3*y + 1. Let a(b) = b**2 - b + 1. Give a(n) - i(n). 2*n**2 Let n(i) = i**3 - 2*i**2 + 4*i. Suppose 2*v - 15 = -v. Let t(j) = 0*j**3 - v*j + 3*j**2 + 0*j**3 - j**3. Let w = -12 - -8. Give w*t(a) - 5*n(a). -a**3 - 2*a**2 Let m = -175 - -173. Let x(o) = o - 1. Let q(a) = 6*a - 2. Give m*x(n) + q(n). 4*n Let b(z) be the second derivative of -5*z**3/6 - 11*z**2/2 - 2*z. Let d(u) be the second derivative of -7/2*u**2 + 0 - 1/2*u**3 + u. Determine -5*b(r) + 8*d(r). r - 1 Let a(d) = -49*d**2. Let w(x) = 4558*x**2. Determine 371*a(j) + 4*w(j). 53*j**2 Let g(c) = -c**3 + c**2 - 1. Let m be 9/(-6)*(-2)/(-3). Let y(a) = -a**3 + 3*a**2 + 3*a - 3. Calculate m*y(s) + 3*g(s). -2*s**3 - 3*s Let i(v) = v**2 - v. Let d(t) = -t**3 - 6*t**2 + 5*t. Determine d(o) + 6*i(o). -o**3 - o Let a(o) = 115*o - 64*o - 52*o + 1. Let w(g) = 7*g - 4. Calculate 5*a(v) + w(v). 2*v + 1 Let b(h) = -6*h**3 + 3*h**2. Let x(k) = -7*k**3 + 2*k**2. What is 2*b(u) - 3*x(u)? 9*u**3 Let x(y) be the second derivative of y**4/12 + y**3/6 + y**2/2 + 5*y. Let h(k) = 4*k**2 + 4*k + 1. Determine h(m) - 3*x(m). m**2 + m - 2 Let u(p) = -2*p + 1. Let f be u(-2). Let s(b) be the first derivative of 0*b**2 - 7/3*b**3 - 1 + 0*b. Let l(v) = -8*v**2. Give f*l(o) - 6*s(o). 2*o**2 Let y(g) = g**3 - 2. Let m(j) = -j**3 + j + 3. What is 2*m(w) + 3*y(w)? w**3 + 2*w Let n(y) = -y**3 + 2*y**2 + 3*y + 3. Let g = 29 - 23. Let z(x) = x - 1. Let u be z(3). Let m(p) = p + 2 + p**2 - 1 + 0*p**u. Give g*m(h) - 2*n(h). 2*h**3 + 2*h**2 Let s(w) = w**2 + 5*w - 2. Let g(v) = 17*v - 11. Let o(j) = 8*j - 5. Let f(i) = -4*g(i) + 9*o(i). Calculate -3*f(c) + 2*s(c). 2*c**2 - 2*c - 1 Let c(f) = f + 1. Let w(o) = 7*o + 4. What is -4*c(q) + w(q)? 3*q Let b(p) = -2*p**2 + 3*p. Let u(x) = 8*x**2 - 12*x. Let m(i) = i + 17. Let n be m(-8). Determine n*b(y) + 2*u(y). -2*y**2 + 3*y Let l(z) = -3 - 2*z**3 + z**3 + 3 + 4*z - 4 - 5*z**2. Let g(d) = -d**2 + d - 1. Calculate -4*g(c) + l(c). -c**3 - c**2 Let k(w) = -4*w**3 + 3*w - 5. Let n(u) = 23*u**3 - 17*u + 29. Calculate 34*k(r) + 6*n(r). 2*r**3 + 4 Let i(n) = 3*n + 4. Let k(m) = 4*m + 5. Let d(c) = -c + 21. Let q be d(15). Calculate q*i(y) - 5*k(y). -2*y - 1 Let x(m) = 5*m + 20 - 4*m - 19. Let d(y) = -2*y**2 - 4*y - 5. Let i(o) = -3*o**2 - 5*o - 6. Let l(f) = 4*d(f) - 3*i(f). What is l(r) + 2*x(r)? r**2 + r Let o(g) = -1 + 2*g**2 + 212*g - 103*g - g**2 - 108*g. Let u(s) = 2*s**2 + 2*s - 2. Calculate -6*o(h) + 2*u(h). -2*h**2 - 2*h + 2 Let d(t) = -17*t + 5. Let h(f) = -8*f + 3. What is 2*d(l) - 5*h(l)? 6*l - 5 Let b(u) = -21*u + 7. Let a(j) = -10*j + 4. Determine -7*a(f) + 4*b(f). -14*f Let o(w) = -13*w**2 + 2*w. Let k(s) = s**2 + s. Determine 3*k(x) - o(x). 16*x**2 + x Let o(c) = -15*c**3 + 6*c**2 + 6*c - 6. Let w(s) = -s**2 - s + 1. Calculate o(k) + 6*w(k). -15*k**3 Let m(t) = -3*t**2 - t - 5. Let z(i) = 2*i**2 + i + 4. Determine -3*m(l) - 4*z(l). l**2 - l - 1 Suppose -2*h - h = -99. Let z(a) = -18*a - 9. Let j(o) = 91*o + 44. Let x(b) = -6*j(b) - 33*z(b). Let u(q) = 3*q + 2. What is h*u(p) - 2*x(p)? 3*p Let t(g) = g**3 - 3*g**2 - 2*g - 2. Let i be t(4). Let w(x) = -7*x + 7. Let p(z) = 4*z - 4. Determine i*w(l) + 11*p(l). 2*l - 2 Suppose -4*l = 4*n + 8, 2*n = 3*l - 8*l - 22. Let u(d) = -2*d**2 - 6*d - 2. Let o(i) = -4*i. Let k(s) = -s. Let z(j) = 9*k(j) - 2*o(j). Give l*z(r) + u(r). -2*r**2 - 2 Let g = -8 - -11. Suppose g*l = -0*l - 3*u - 6, l + 4 = u. Let j(r) = -r + 1. Let w(y) = 0*y + 2 + 4*y - 3. Give l*j(t) - w(t). -t - 2 Let j(m) = -15*m**2. Let k(n) = 46*n**2. Determine 16*j(i) + 5*k(i). -10*i**2 Let d(o) = o**3 - o**2 - 1. Let r(g) = 30*g**3 + 3*g**2 + 1. Calculate 3*d(n) + r(n). 33*n**3 - 2 Let o(g) = 3*g - 2. Let r(k) = -3 + k + 4*k - 5*k + 4*k. What is -5*o(n) + 4*r(n)? n - 2 Let t(u) = -3*u**2 + 5*u + 5. Let i(j) = j**2 - j - 1. Determine -10*i(k) - 2*t(k). -4*k**2 Let y(t) = -4*t**2 + 10*t + 1. Let b(j) = -j**2 + 3*j. Let v be (3 + -1)*1/2. Let g be (v - -6)/(1/1). Give g*b(z) - 2*y(z). z**2 + z - 2 Let y(w) = -2*w. Let i = 14 + -10. Suppose 5*c - 41 = -x + 61, -2*c + 48 = i*x. Suppose 10 = -4*t - 10, -5*h - c = t. Let v(o) = -3*o. What is h*v(k) + 4*y(k)? k Let v(s) = 1. Let j(n) = 3*n - 2 - 3*n**2 - 3*n. Let a be 1*(0/(-1) - (2 + -3)). What is a*j(z) + 2*v(z)? -3*z**2 Let c(o) = 2*o + 2. Let s(x) = 4*x - 4*x - 3*x + 4*x. Calculate -c(b) + 3*s(b). b - 2 Let i(c) = -3*c**2 - 8*c - 13. Let t(h) = -h**2 - 2*h - 3. Let m(s) = -4*i(s) + 18*t(s). Let v(a) = a**2 + a. Let l = 6 - 7. Give l*m(d) - 4*v(d). 2*d**2 + 2 Let o(b) be the second derivative of 0 + 1/6*b**3 + 0*b**2 + 2*b + 1/20*b**5 + 0*b**4. Let t(w) = 2*w**3 + 3*w. Calculate 3*o(d) - t(d). d**3 Let c(r) = 4*r**2 - 6*r - 6. Let t(h) = 3*h**2 - 5*h - 5. Calculate -5*c(b) + 6*t(b). -2*b**2 Let n(i) be the first derivative of i**4/4 + i**2/2 - i - 6. Let b(v) = 2*v**3 + v**2 + v - 2. C
{ "pile_set_name": "DM Mathematics" }
- 12*f - 1. Calculate g(v). -1 Let u(d) = -2*d**3 + d**2 + 2*d. Suppose -23192 = -21*o - 5*o. Suppose -o + 904 = 6*h. What is u(h)? -8 Let t(r) = -r**2 - 8*r + 2. Suppose 0 = y - 3, 4*i - 3*y - 2 = -3. Suppose -2*j = 3*h + 1, 4*h + j = -0*j + i. Let b be (h + 3 + 3)*-1. Calculate t(b). 9 Let r(t) = 69*t + 14. Let q(u) = 82*u + 15. Let w(z) = 5*q(z) - 6*r(z). Determine w(-5). 11 Let o(m) = m. Let x(y) = y - 3. Let c(f) = -3*o(f) + x(f). Let h(n) = -6*n**3 - 179*n**2 + 31*n + 32. Let l be h(-30). What is c(l)? -7 Let t = -12821 + 12836. Let y(s) = -5*s + 45. Give y(t). -30 Let h = 123 + -103. Suppose 0*f = -5*f - h. Let s(c) be the second derivative of -c**4/6 - c**3/6 + c**2/2 - 4*c. What is s(f)? -27 Let w(y) = -3*y + 4 + y + 0*y. Let o = -188203 - -188196. Give w(o). 18 Let h(s) be the first derivative of -s**3/3 - 4*s - 17. Suppose 23*l = 19*l - 32. Let v be (l/(-12))/2*-9. What is h(v)? -13 Let n(w) = 19*w - 242. Let j be 240/15 + -11 + 7. Determine n(j). -14 Let x be (-62167)/11235 + 16/30. Let w(t) be the third derivative of t**4/8 + t**3/6 - 2*t**2. Determine w(x). -14 Let i(x) be the third derivative of -x**6/180 + 3*x**5/40 + x**4/8 - 5*x**3/2 + 3*x**2 + 7. Let m(u) be the second derivative of i(u). What is m(7)? -19 Let f(t) = 14*t + 24. Suppose 0 = 5*j + x + 23, -57 + 55 = -2*j - 2*x. Give f(j). -60 Suppose p - 7 = l, -5*p - 4 = 2*l - 32. Let j(i) = -4. Let t(m) = 1. Let n(v) = j(v) + 6*t(v). Let s(q) = 2*q + 3. Let y(k) = 5*n(k) - s(k). Calculate y(p). -5 Let c(h) be the first derivative of -h**4/4 - 11*h**3/3 - 15*h**2 + h - 4150. Calculate c(-5). 1 Let p(r) = -r**3 - 12*r**2 - 37*r - 16. Suppose -3*i - 1 = 5*d, d - 73 + 69 = 0. Determine p(i). -2 Let d(i) be the first derivative of -i**7/840 - i**6/90 - i**5/60 + i**4/24 - 5*i**3/3 + 28. Let q(j) be the third derivative of d(j). Give q(-4). 9 Let k(t) = -93*t**2 - 5*t**3 + 2*t + 52*t**2 + 47*t**2 + 8 + 4*t**3. Let o(a) = -13*a - 4. Let n be o(-4). Let h = -42 + n. What is k(h)? 20 Let t(n) = n**2 + n - 5. Let u(l) = -l**3 + 4*l**2 + 6*l + 1. Let a(w) = -t(w) + u(w). Give a(5). -19 Let i(r) be the first derivative of -4*r**2 + 30*r + 7879. What is i(3)? 6 Let w(z) be the first derivative of -z**7/840 - z**6/120 + z**5/60 + z**4/8 - 70*z**3/3 + 42. Let h(k) be the third derivative of w(k). Give h(-2). -5 Let f = 1205 + -1205. Let l(c) = -1 + c**2 - 1 - c**3 - c + 0*c**2. Calculate l(f). -2 Let f(w) = -345 - 5*w - 3*w - 370 + 1227 - 424. What is f(9)? 16 Let v(r) = -r**2 + 17*r - 61. Let g(l) = 8*l**2 + 111*l + 204. Let b be g(-2). Give v(b). -19 Let n(x) = -x - 1. Suppose 0 = -2*h - 5*r - 457 - 103, 2*h - 4*r + 596 = 0. Let k = 292 + h. What is n(k)? -3 Let s(g) = 2*g - 38. Let r be s(25). Suppose 3*m = 2*f - r, -5*f + 13 + 7 = -5*m. Let b(h) = -h - 8. Determine b(f). -8 Let f(c) = -12*c + 401. Let q = -3876 + 3910. What is f(q)? -7 Let i = -143 + 135. Let b(a) = -a**2 - a + 55. Let p be b(i). Let g(l) = -10*l**3 - l - 1. Determine g(p). 10 Let s(v) = -9*v - 5*v + 7 + 22*v. Let j(p) = 37*p + 7. Let l(q) = 9*q + 2. Let o(u) = 6*j(u) - 26*l(u). Let h(k) = -5*o(k) - 7*s(k). What is h(3)? 13 Let r(d) = d**2 + 8*d - 11. Suppose 513 = 4*q - 61*q. Give r(q). -2 Let q(d) be the second derivative of d**5/20 - 5*d**4/12 + 2*d**3/3 - 3*d**2 - 28*d. Let p be -3*(-4)/(-60) + 84/20. Determine q(p). -6 Let h(s) be the second derivative of -s**4/12 - 3*s**3/2 - 4*s**2 + 27*s. Suppose -8 = 8*p - 7*p. Let y be h(p). Let j(n) = -n**3 + 18. Give j(y). 18 Let l(y) be the first derivative of y**5/120 + 5*y**4/24 + y**3 - 7*y - 253. Let q(z) be the third derivative of l(z). Give q(7). 12 Let q(p) = -p**2 + 12*p - 32. Let h be 8 + 168/(-35) + (-9)/(-5). What is q(h)? 3 Let a(y) = -54*y**3 + 97*y**2 + 17*y - 32. Let q(j) = -19*j**3 + 34*j**2 + 6*j - 11. Let b(x) = 6*a(x) - 17*q(x). Determine b(3). 4 Suppose 12*f - 15*f + 3 = 0. Let q(h) = 4*h. Let z be q(f). Let c(n) = -1 + z - n**2 + 4*n - 3*n - 3*n. What is c(-4)? -5 Suppose 21 - 21 = 88*y. Let m(z) = 2*z**2 + 3*z + 33. What is m(y)? 33 Let f(l) = l**3 - 12*l**2 - 12*l - 9. Suppose -107 = -12*r - 55 + 104. Determine f(r). 4 Let k(j) = -j**2 - 6*j - 15. Suppose -8*w + 205 = 245. What is k(w)? -10 Let l(f) = f**2 - 9*f + 5. Let h = -12183 - -12189. Determine l(h). -13 Let z(x) be the second derivative of x**4/12 + 2*x**3/3 + 3*x**2/2 - 5*x. Let u(l) = 6*l - 178. Let f = 6 - -23. Let m be u(f). Calculate z(m). 3 Let c(y) = y + 14. Let r be (-104)/36 - (-2)/(-18). Let n(h) = 6*h + 6. Let u(w) = -5*w - 5. Let s(z) = r*u(z) - 2*n(z). Let x be s(-3). Calculate c(x). 8 Let g(h) = h**2 + 8*h + 15. Let b be g(-4). Let n(d) = d**2 - 14*d - 10. Let p(q) = 1. Let l(f) = b*n(f) - 2*p(f). Determine l(12). 32 Suppose 609 = -13*j + 152*j + 3806. Let a(b) = -2*b**2 - 49*b - 29. Determine a(j). 40 Let c(q) be the first derivative of 5*q**2/2 + 47*q - 1922. What is c(-12)? -13 Let q be ((-6)/(-3))/((-6)/21)*-2. Suppose 0 = q*s - 4*s - 100. Let y(j) = s - 3*j - 2*j + 4*j. Determine y(0). 10 Let w(y) be the first derivative of -3*y**2/2 + 41*y - 2557. Calculate w(0). 41 Let h(b) = -6*b + 1. Let v(y) = -25*y + 15. Let d(x) = -4*h(x) + v(x). Give d(8). 3 Let q(i) = i**2 + i + 1. Let x be q(1). Let l(j) = 9*j - 6 - 3*j - x*j - j. Calculate l(6). 6 Let z be 1/(-2)*(0 + 2). Let p(v) = 6773 + 6960 - 13732 - 3*v. Determine p(z). 4 Let t(c) = c**3 + 2*c**2 - 2*c - 8. Let s(p) = -3*p**3 - 5*p**2 + 4*p + 25. Let b(m) = -2*s(m) - 7*t(m). What is b(-5)? 1 Let c(k) = -2*k**2 + 15*k + 11. Let f = 1941 + -1934. What is c(f)? 18 Let i(m) = -302 + 14*m + 129 + 192. Give i(7). 117 Let f(u) = 6 - 5 + 15094334*u - 15094329*u. Let s be (0 - -2) + (1 - 4). Give f(s). -4 Let g(v) = -2*v**2 + v + 1. Let m(d) = 2*d**2 + 38*d - 45. Let o be m(-22). Let f = 88 - o. Let k be 1 + (-3 - (-4)/f)*1. What is g(k)? -5 Let k(t) = t**2 + 4*t + 2. Let b be k(-4). Let r(y) = b*y + 4 - y - 4. Let c = -511 + 509. Give r(c). -2 Let y(u) be the second derivative of -u**5/20 - u**4/6 + 11*u**3/6 + 7*u**2 + 1914*u - 2. Give y(-3). -10 Let k = 166 + -196. Let t be k/(-5) - 5 - -5. Let y(l) be the first derivative of -l**2/2 + 7*l - 2. Calculate y(t). 1 Let t(b) = 3*b**2 + 6*b - 2. Let s = 19338 + -19334. Calculate t(s). 70 Let i(x) = x**2 + 37*x + 12. Let m be i(-37). Let d(y) = 11 + y - 12 + m. Determine d(-9). 2 Let o(n) = -2710 - 2722 + 5412 - 2*n + 4*n. What is o(15)? 10 Let g be 1*4/(-6)*-6. Let u(r) = -1 + g*r - r - 4*r. Let o(y) = y**3 + 78*y**2 + 76*y - 78. Let w be o(-77). Calculate u(w). 0 Suppose -z = 3*z - 8. Let i(d) = 0*d**2 - z*d**2 + 4*d**2 + 6 + 8*d. Suppose -35 = -h + 4*s, 911*h = 909*h + s. Calculate i(h). 16 Let r = 9 + -1. Let i(m) be the third derivative of -m**6/120 + 7*m**5/60 + 5*m**4/24 + m**3 - 1328*m**2. What is i(r)? -18 Let l(y) = 33*y**2 - 36*y - 61. Let d(f) = 43*f**2 - 47*f - 81. Let z(p) = -10*d(p) + 13*l(p). Determine z(8). -31 Let r(h) = 83*h - 68. Let p(a) = 45*a - 34. Let s(f) = 11*p(f) - 6*r(f). Calculate s(13). -5 Let d(v) = v**2 - 5*v - 9. Suppose -f + 0*f = 340. Let c = 347 + f. Determine d(c). 5 Let z(a) = -75*a + 160. Let f be z(2). Let m(p) = 4*p - 28. Give m(f). 12 Let w(y) = 7*y**2 + 5*y + 6. Let h be ((-2)/(-7) + 13/(-21))*-9. Let v(l) = -5*l**2 - 6*l - 7. Let q(j) = h*v(j) + 2*w(j). Determine q(-6). 3 Let m(s) = -s - 8. Suppose 0 = 3*x - 7*x + 1104. Let f = 268 - x. Give m(f). 0 Let t(v) = -v**3 - 12*v**2 - 13*v - 2. Let f be t(-11). Suppose 4*a = -k - f - 180, -k - 100 = 2*a. Let u = a - -44. Let g(s) = s**2 + 7*s + 6. Determine g(u). 0 Suppose 5*a - 33 = a - 5*p, 5*a = -4*p + 39. Let n(g) = 6*g**2 - 44. Let t(l) = 5*l**2 - 42. Let v(f) = a*t(f) - 6*n(f). Give v(0). -30 Let g(u) = -3*u + 2. Let s be g(-2). Let y(r) be the first derivative of -r**4/4 + 7*r**3/3 + 4*r**2 - 7*r - 4159. Determine y(s). -7 Let i(n) = n - 1. Let v(l) = -l**2 + 4*l + 4. Let k(y) = -y**3 + 6*y**2 - y + 5. Let p be k(6). Let o(q) = p*v(q) + 2*i(q). Give o(3). -3 Let g(f) = -f**3 - 3*f**2 + 8*f + 11. Let i be ((-4)/6)/((-16)/(-96)). Calculate g(i). -5 Let j = 66 - 67. Let d(a) be the first derivative of -11*a**3/3 - 3. Give d(j). -11 Let w be (-15)/10 + (-3)/(-6). Let m(v) = 4*v**3 + 2. Let x be m(w). Let j(c) = 3*c - 3. What is j(x)? -9 Let k(t) = -t**2 - 5*t - 7. Suppose -j = n - 3*j - 90, 2
{ "pile_set_name": "DM Mathematics" }
Let g(a) = b*y(a) - x(a). Let j(h) = -h. Calculate g(j(p)). -p**2 Let b(q) = -2 + 0*q**2 + 2 + 4*q**2. Let r(x) be the second derivative of -x**4/6 + 6*x - 17. What is b(r(f))? 16*f**4 Let g(w) = 18*w - 16*w + 11 - 71 - 59. Let d(r) = 2*r. What is g(d(x))? 4*x - 119 Let x(l) = -12*l - 1. Let f(d) = 814*d**2 - 2*d - 1. Determine x(f(v)). -9768*v**2 + 24*v + 11 Let a(x) be the third derivative of x**5/60 - 168*x**2. Let q(w) = -9*w - 1. Calculate a(q(z)). 81*z**2 + 18*z + 1 Let r(a) = -1 + 1 - 13*a. Let u(b) be the third derivative of -b**5/60 + 1679*b**2. Give r(u(p)). 13*p**2 Let k(d) = 3*d + 204. Let t(b) = 3*b**2 + 54*b. Calculate k(t(n)). 9*n**2 + 162*n + 204 Let k(u) = 7*u**2. Let a(j) = j**2 + 219066*j - 219066*j - 43. Determine k(a(v)). 7*v**4 - 602*v**2 + 12943 Let f(v) = 16*v - 3642. Let g(l) = -4*l**2. Give f(g(j)). -64*j**2 - 3642 Let z(g) = g**2 - 14*g - 4. Let j be z(15). Let v(p) = -8*p - 6*p + j*p. Let t(w) = 3*w**2. Determine t(v(d)). 27*d**2 Let g = -43 - -64. Let n be 4/(-14) + 48/g. Let w(o) = -o**2 - 5*o**2 + 6*o**n + 4*o**2. Let d(j) = j. What is d(w(i))? 4*i**2 Suppose 9*l - 43*l = 0. Let r(w) be the second derivative of l*w**2 + 0*w**3 + 0 + 5*w + 7/12*w**4. Let h(c) = -2*c**2. Give h(r(i)). -98*i**4 Let f(s) = -5393*s**2. Let z(o) = 2*o. Determine f(z(t)). -21572*t**2 Let q(k) be the second derivative of -k**3/3 + k. Suppose -2*z + 2 + 3 = d, -4*z + 13 = 5*d. Let b(g) = z*g - 22*g + 33*g. What is q(b(u))? -26*u Let g(t) = 0*t + 0*t - 2*t. Let u(f) = -1 + 34*f + 29*f - 61*f + 3. Calculate u(g(n)). -4*n + 2 Let j(x) = -2*x**2 - 11 + 11. Let n(t) be the second derivative of -t**3 + 2*t + 31. Calculate j(n(u)). -72*u**2 Let g(a) = -5*a. Let p(i) = 2*i**2 + 4053*i. Determine g(p(r)). -10*r**2 - 20265*r Let t(g) = -40*g**2. Let d(q) = 89620*q**2. Calculate t(d(b)). -321269776000*b**4 Let f(d) = 5*d**2. Let a(w) be the third derivative of w**4/24 + 20*w**3/3 - 2*w**2 - 30*w. Determine f(a(k)). 5*k**2 + 400*k + 8000 Let h(i) = -343*i**2. Let o(t) = -114*t**2. Give o(h(v)). -13411986*v**4 Let m(d) = -d. Let r(w) = 870*w - 5 - 867*w + 5. Determine r(m(k)). -3*k Let h(y) = -13034*y**2. Let j(p) = 15*p**2. Calculate j(h(i)). 2548277340*i**4 Let m(k) = -4*k**2. Let g(y) be the first derivative of 5*y**3/6 - 12*y + 4. Let b(p) be the first derivative of g(p). Determine m(b(h)). -100*h**2 Let i(a) = -2*a. Let n(m) = m**3 - 6*m**2 + 15*m - 5. Let x be n(9). Let c(d) = -373 + 4*d - 12*d + x. What is c(i(j))? 16*j Let a(w) = 37*w**2. Let i(r) = -2*r - 1. Let h(y) = 4*y - 1. Let v(p) = -h(p) + i(p). What is v(a(c))? -222*c**2 Let x(b) = 5780*b + 238. Let w(p) = -73*p - 3. Let z(k) = -238*w(k) - 3*x(k). Let r(q) = -16*q. Determine z(r(u)). -544*u Let m(p) = -2*p**2. Let j(w) = 4463132*w. Give m(j(d)). -39839094498848*d**2 Let c(t) be the second derivative of -t**4/12 - 10*t. Suppose 0 = 2*y + 2*y - 8. Let q(s) = -3*s**2 + 4*s**2 + s**2 + s**y. Determine q(c(b)). 3*b**4 Let g(x) = -78*x. Let k(i) be the second derivative of -i**4/4 - 293*i. Calculate g(k(o)). 234*o**2 Let n(a) be the first derivative of -2*a**2 - 27. Let x(f) = 8*f**2 + f - 14*f**2 - f. Determine x(n(p)). -96*p**2 Let t(b) = -b**2. Suppose -3*j + 5*q + 1 = 0, j = 4*j + 3*q - 9. Let d be ((-4)/4)/(0 + (-1)/3). Let f(m) = 3*m**2 - 4*m**2 + m**2 - d*m**j. What is f(t(o))? -3*o**4 Let g(o) = -41*o**2. Let r(z) = -z - 132 - 137 + 399 - 130. Calculate g(r(s)). -41*s**2 Let l(h) = -20*h. Let v(t) = -217*t**2 + 126*t + 63. Let w(s) = 7*s**2 - 4*s - 2. Let p(m) = -2*v(m) - 63*w(m). Determine p(l(x)). -2800*x**2 Let o(w) = 298559*w. Let x(y) = y. Give x(o(g)). 298559*g Let j(u) = -u**2 + 3*u + 3. Let s(t) = -2*t**2 + 8*t + 8. Let z(w) = -8*j(w) + 3*s(w). Let x(o) be the second derivative of -8*o**3/3 - 3*o. Determine z(x(b)). 512*b**2 Suppose -p = 2 - 4. Let u(x) = x**3 - 5*x**2 + 5*x - 1. Let a be u(1). Let t(k) = a*k**2 - 3*k**p + 10*k**2. Let y(z) = z. Calculate t(y(m)). 7*m**2 Let o(f) = -5*f + 20018. Let q(i) = -3*i**2. What is o(q(j))? 15*j**2 + 20018 Let x(r) = r - 1. Let s = 14 - 10. Let j(p) = 1 + p + s - 2 - 6. Let b(u) = j(u) - 3*x(u). Let a(d) = 3*d. Determine a(b(t)). -6*t Let d(s) = -2*s. Let b(q) = 38*q - 3 + 0 - 80*q + 17*q. What is d(b(w))? 50*w + 6 Let x(l) = -17395*l**2. Let t(c) = -2*c. What is t(x(w))? 34790*w**2 Let s(i) = -i. Let o(z) = -23048*z. Determine s(o(m)). 23048*m Let l(r) = -9*r + 4*r - 3*r - r + 7*r. Let s(q) = -2*q - 18*q**2 + 2*q. What is l(s(g))? 36*g**2 Let g(n) = -n. Let p(q) = 1 - 12*q**2 + 0*q**2 + 11*q**2. Calculate g(p(s)). s**2 - 1 Let h(p) = -p. Let a(f) = 18 + 18 + 22 - 60 - 186*f + 11*f. What is a(h(v))? 175*v - 2 Let v(s) = 2*s**2. Let b(k) be the second derivative of k**6/720 - k**4/4 - 17*k. Let y(j) be the third derivative of b(j). Calculate v(y(g)). 2*g**2 Let j(c) = 23*c. Let p(q) = 3*q**2 - q - 1. Let h(d) = -d**2 - 5*d - 5. Let w(n) = -h(n) + 5*p(n). Determine w(j(u)). 8464*u**2 Let p(l) = 227070*l. Let b(o) = -o**2. What is b(p(u))? -51560784900*u**2 Let j(l) = l**2. Let a(u) = u**2 + 46376. Determine a(j(m)). m**4 + 46376 Let g(d) = -54*d**2. Let s(r) = 6*r**2. Let n(v) = -6*g(v) - 52*s(v). Let i(l) = -2*l - 2030*l**2 + 1013*l**2 + 2*l + 1016*l**2. Determine i(n(h)). -144*h**4 Let b(o) = -5*o**2. Let v(u) = -98*u + 56. Let d(f) = -9*f + 5. Let i(c) = -56*d(c) + 5*v(c). Give b(i(p)). -980*p**2 Let p(q) = -3*q**2. Let m(g) = -336874*g**2 - 3*g. What is m(p(f))? -3031866*f**4 + 9*f**2 Let i(g) = 8*g**2. Let r(t) = -15*t**2. Let m(j) = 9*i(j) + 5*r(j). Let c(f) = -2*f**2 - 3*f**2 - 7*f**2. Calculate c(m(x)). -108*x**4 Let j(c) = 2*c**2. Let g(o) = -2016*o + 4. Calculate j(g(d)). 8128512*d**2 - 32256*d + 32 Let c(w) = -236 - 19*w**2 + 140 + 94. Let h(s) = 12*s**2. Calculate c(h(t)). -2736*t**4 - 2 Let t = 2 - 2. Let l(r) = t*r - 4*r + 2*r. Let z(g) be the third derivative of g**5/30 + 17*g**2. What is l(z(v))? -4*v**2 Let v(q) = -3 + 5 - 2 + 5*q. Let l = 2 + 0. Let s(j) = -j**2 - 4*j**2 + 0*j**l + 4*j**2. Give s(v(g)). -25*g**2 Let h(b) = -33*b. Let t(r) = -25*r. Let l(m) = -3*m. Let c(d) = -24*l(d) + 3*t(d). Give c(h(w)). 99*w Let i(d) = -6412*d**2. Let p(c) = 3*c**2. What is p(i(k))? 123341232*k**4 Let z(x) be the second derivative of -x**7/1260 - 11*x**4/12 - 9*x. Let y(k) be the third derivative of z(k). Let u(q) = 25*q**2. Calculate u(y(f)). 100*f**4 Let d(v) = -14*v + 0 + 23*v + 0. Let u(w) be the third derivative of w**8/10080 - w**5/20 - 4*w**2. Let o(j) be the third derivative of u(j). Give d(o(m)). 18*m**2 Let j(l) = -l**2 + 390*l - 390*l. Let v(b) be the second derivative of 5*b**3/3 + 11*b. Calculate j(v(n)). -100*n**2 Let u(r) = -r. Let y(a) = -6*a**2. Let s(j) = -j**3 - 8*j**2 + 8*j - 3. Let w be s(-9). Let n(h) = -13*h**2. Let t(i) = w*n(i) - 10*y(i). What is t(u(c))? -18*c**2 Let n(h) = h**2 - 94. Let f(o) = 11*o + 24. Let k(r) = -12*r - 28. Let q(y) = -7*f(y) - 6*k(y). Determine n(q(v)). 25*v**2 - 94 Let u(b) = 6022*b. Let i(y) = -74*y. Calculate i(u(f)). -445628*f Let k(q) = 84*q**2. Let x(a) = 58*a**2 - 107*a**2 + 46*a**2. What is k(x(d))? 756*d**4 Suppose -5 = v, v = -5*p + 3*v + 25. Let f(r) = -r + 2*r + p*r. Let u(z) = -2*z**2 + 329 - 329. What is f(u(n))? -8*n**2 Let f(d) = -4*d. Let l(n) = 8*n**2 + 3*n - 7671. Give f(l(q)). -32*q**2 - 12*q + 30684 Let s(t) = -2*t. Let l be 24 - (-2 + 12/3). Let g = -33 + l. Let h(o) = -5*o + 4. Let y(q) = 15*q - 11. Let r(u) = g*h(u) - 4*y(u). Calculate r(s(j)). 10*j Let a(j) = 2*j**2. Let o(n) = -888*n**2 - 444*n. Let r(c) = 2*c**2 + 2*c. Let l(i) = o(i) + 222*r(i). Give l(a(q)). -1776*q**4 Let d(r) be the second derivative of r**3/6 - r. Let l(k) = 48*k**2 - 12*k - 6. Let b(c) = c**2 - 2*c - 1. Let a(v) = -6*b(v) + l(v). Give a(d(s)). 42*s**2 Let m(c) be the second derivative of 2*c**4/3 - 588*c. Let j(k) = -61*k - 2. Determine j(m(p)). -488*p**2 - 2 Let f(k) = -7*k + 3 - 3 - 7*k. Let i(l) be the first derivative of -3*l**2/2 - 273. Give i(f(b)). 42*b Let m(k) = 204*k**2 - 23*k - 1. Let a(l) = l. Calculate m(a(i)). 204*i**2 - 23*i - 1 Let t(b) = -50*b + 105*b - 28*b - 39*b. Let a(s) = 4*s**2. Calculate a(t(q)). 576*q**2 Let r(f) be the third derivative of f**4/24 + 39*f**2 - f. Let n(a) be the second derivative of 5*a**3/6 + 2*a. What is r(n(s))? 5*s Let x(r) = -23*r.
{ "pile_set_name": "DM Mathematics" }
) = -9*s - 322. Let n be c(-38). Solve -7*j + 2*t - 8 = -6*j, -5*t = -2*j - n for j. 0 Let t = 6 + -3. Suppose 14 + 1 = 3*h. Suppose -n = h*m - 9, n - 11 + 12 = 0. Solve -5 = -w - t*b, -5*w - 2*b - 12 = m for w. -4 Let k be ((-22)/(-55))/((-2)/10). Let p be 1 + 7 + 10/k. Solve 0 = -m - 5, p*m - 21 = 4*n + 4*m for n. -4 Let y(x) = 2*x**3 - 8*x**2 - 4*x - 2. Let w be y(4). Let t(h) = -h**3 - 19*h**2 - 15*h + 60. Let u be t(w). Solve u*m = 3*m - 3, 5*s - 2*m - 17 = 0 for s. 3 Suppose 162*c - 1485 = -675. Solve -c*n + 21 = -43*v + 46*v, v = -n + 5 for v. 2 Suppose 4*m + 170 = a, 13*a - 12*a - 160 = 2*m. Let o be a/39 - 6/(-39). Solve 2*t - 3 = -2*g - 1, o = 4*g for t. 0 Let l = 2460 - 2460. Solve 4*j + 20 = l, 3*q + 0*j + 16 = -5*j for q. 3 Let n = -397 + 401. Solve 5*y = -n*a - 12 - 1, 2*a - 1 = 5*y for y. -1 Let o(z) = -z + 9. Let r be o(5). Let d be (160/100)/(4/10). Suppose -20*w + d = -96. Solve -w*c = r*u + 33, -u - 2*u - 6 = 0 for c. -5 Let w = -13728 - -13746. Solve -2*b = 5*d + w, b - 146*d = -144*d for b. -4 Suppose 4*b + 21 - 61 = 0. Let z be 212*4/16*-1. Let d = z + 55. Solve 2*o + 3*q - 2*q - 7 = 0, 0 = -2*o + d*q + b for o. 4 Let r = -402 + 407. Solve -s - 1 = b, -3*s = -7*s + r*b + 5 for s. 0 Let l be 11 + (-1 + 0 - 1) + -21 + 15. Solve l*p - 5*p = -4*v - 10, -20 = 4*v for p. -5 Let s = -87 - -92. Suppose 3*u = 2*n + s + 1, -4*n + 10 = 5*u. Suppose 4*j + 3*d - 10 - 25 = n, -5 = 2*j - 3*d. Solve 19 = b + 3*o, 0*b - 33 = -2*b - j*o for b. 4 Let z be (-6)/15*(-10)/8*216. Let q be z/14 + (-10)/(-35). Let a be q - (-3)/(6/(-8)). Solve 16 = -2*j - a*i + 4, -5*j - 2*i = 14 for j. -2 Let n(m) = -m**3 - 7*m**2 - 4*m - 13. Let z be n(-7). Suppose 32 + 4 = -4*x. Let a be (-12)/x*(-2)/(2/(-3)). Solve -z = 3*q, a*q + 8 = -4*f - 0*q for f. 3 Let q = -37699 - -37714. Solve 4*g - 6 = -4*a + 6, 5*g - q = -a for g. 3 Let n be ((-2)/(-5))/(3/15). Solve -2*w = 5*q - 12, -n*q = -w + 6*w + 12 for w. -4 Suppose 2*f - 28 = -4*p, -5*p = -2*f - 3*f - 5. Suppose c = -n + 2, 16*n + 8 = 3*c + 17*n. Solve -10 = a - f*m, -c*a = 3*m - 17 + 2 for a. 2 Suppose -58*n + 108*n + 132*n - 364 = 0. Solve 2*o + k - 13 = 8*o, 0 = n*o - 4*k - 14 for o. -3 Let p = -2092 + 2108. Solve 3*g + 15*j - p = 11*j, 2*g = -2*j + 8 for g. 0 Let x be (-2)/(-44) - (-42192)/1056. Solve 3*j + x = -5*u, -2*u - 35 = -7*j + 12*j for j. -5 Suppose 3*v + 20 - 53 = 0. Suppose 0 = 2*d - n + 6, 3*n = -2*d - 3 - v. Let u be d*(-5)/(-10) + (0 - -4). Solve -4*z - 3*l + 3 = 0, -1 = u*z + 2*l - 3 for z. 0 Suppose 121*j + 259 = 158*j. Solve 0 = 2*y - p - 12, -2*y + j*p + 4 = 8*p for y. 4 Let h be (-5 - 0)/(-5) - (-1 - 0). Suppose -h*j + 25 = 5*p - 13, -3*j + 36 = 4*p. Solve -5*z - 25 = 5*m, 0 = 4*m - 5*z - 1 - p for m. -2 Let h(y) = y**2 + 3*y - 44. Let t be h(6). Suppose -3*x + 4*x = -4*a + t, -5*a + 7 = 4*x. Solve -2*m = -a*q + 1, 2*q = -2*m + 7*m + 19 for q. -3 Let o be 4 + (-1 - (-4 + -2))*4. Suppose 5*x - 22 = -u, 18*u = 14*u - 4*x + o. Solve 0 = 5*c - u*b + 12, -2*c - b + 0*b - 3 = 0 for c. -2 Let z(w) = -10*w + 3. Let g be z(-3). Suppose -3*m = g - 9. Let t be (1 - 1)/(4 - (-3 - m)). Solve -4*b - d = t, -5*d + 0*d = -5*b for b. 0 Let l be (-9)/((-36)/(-26))*((-12)/13)/3. Suppose 12*z - 9 = 9*z. Solve 0 = -l*m - 2*j, 3*m + 0*j - z*j = 12 for m. 2 Suppose -3*g + 55 = -2*o - 3*o, 0 = -4*o - g - 44. Let k(l) = l**3 + 12*l**2 + 4*l - 77. Let p be k(o). Solve 3*i - i - 25 = -5*y, p = -4*i + 5*y + 5 for i. 5 Suppose 4 = -2*m + 6. Let v = m + -1. Suppose v = -c - 2 + 5. Solve q - 3 = 2*s + 4*q, -q = c*s - 6 for s. 3 Let u = -395 - -636. Let k = 252 - u. Solve d = 4*z - k - 8, 4*d = 5*z - 32 for z. 4 Let d be 374 + -379 - ((-215)/4 - (-3)/(-12)). Solve 3*a = 2*o - d + 44, 10 = 2*o + 2*a for o. 4 Suppose -6*o - 22 = -412. Let m(x) = 67*x**2 + x. Let n be m(1). Let u = n - o. Solve -8 = -u*f + 2*s, -s + 4 = s for f. 4 Suppose -l + 125 = x + x, 4*l - 128 = -2*x. Suppose 0 = -0*r - r - x. Let q = r + 77. Solve 4*p - 3*c = q, 0 = -p - 0*p + 5*c + 25 for p. 0 Let l = -51 + 82. Suppose 5*s - l - 4 = 0. Let i = s - 7. Solve -v = -i*v - o, 3*v + o = 0 for v. 0 Suppose 0 = -5*s + 20 + 5. Suppose -c - 71*w = -75*w + 17, 4*c + 14 = 7*w. Suppose 3*p - 17 + 2 = 0. Solve -z = -2*z + s*m - c, 0 = -z - p*m + 3 for z. -2 Let d(g) = -g**2 - 7*g - 10. Let w be d(-4). Suppose a + w*l = 2, a + l - 8 = -3*a. Solve 4*f = -3*p + 7, 0 = -5*p - f + a + 4 for p. 1 Let u(q) = -39*q + 139. Let f be u(7). Let b = 140 + f. Solve 2*s - i = -7, 2 = -3*s + i - b for s. -1 Suppose 0 = m + 3*r - 27, m - 4*r - 26 - 8 = 0. Suppose 12 = 3*d - m. Solve -3*f + p - d = 0, -p - 1 - 1 = f for f. -4 Let c = -5275 - -5288. Solve 17 = -d - 3*j, -5*d - c = -4*j + j for d. -5 Suppose -6 = -3*b, -b = -h - h + 2. Suppose -16*q - 2*n - 202 = -20*q, q = 5*n + 55. Suppose -q*t = -9*t - 164. Solve 3*g - 19 = -t*l, 2*g - 9 = h*l - l for l. 1 Suppose 147*y - 152*y + 15 = 0. Let l be (-1)/((-6)/4)*y. Solve -l*i = 10, 3*s = s + 2*i + 4 for s. -3 Suppose 4*m - 44*h = -47*h + 11, -4*m = -h - 7. Solve -4*y = m*n - 8 + 4, 3*n = -2*y - 10 for y. 4 Let q(a) = 26*a - 425. Let u be q(-20). Let r = u - -956. Solve -x - 6*j + r*j = 21, -5*x = j - 25 for x. 4 Let h be (16/6)/((-11)/(-297)*1*3). Solve -4*n + 4*k - 8 = 0, -5*n - 3*k = -k + h for n. -4 Let r = -21280 - -21284. Solve r*h - 49 + 45 = 0, 2*n - 5 = -3*h for n. 1 Suppose 0 = -7*d + 6 - 181. Let i be ((-3)/15)/(0 + 5/d). Solve 2*w - 24 = -4*y, -2*y - i = -5*w + 11 for y. 4 Let d be 1/3 + 88/72*-6. Let m = d + 10. Suppose 2*b + m*v = 19, b = 5*b - 3*v + 7. Solve -5*n - 25 = 4*g, 0 = -b*g + n + 4*n + 25 for g. 0 Let c = 2739 - 2737. Solve 2*s + b = 3*s + c, b = -s + 2 for s. 0 Let u be (16*2)/(-19*(-2)/38). Solve 4*o - u = 5*f - f, 0 = -4*o - 5*f + 5 for o. 5 Suppose 10*s + 3*z - 355 = 0, -4*s + 141 = 8*z - 7*z. Solve 2*j - 5*m - 2 = 0, j + m - 28 = -s for j. -4 Let g = -26374 + 26376. Solve -2*b + 17*j - 19*j = g, -3*b + 32 = -4*j for b. 4 Let m be ((-20)/35)/((-1)/7). Let g be (42/(-9))/((-2)/(-18)). Let q = g - -45. Solve -7 = 3*i - m*n - q, -n + 12 = 2*i for i. 4 Let h = -13 + 18. Let x(n) = -n + 5. Let g be x(h). Suppose -2*m = -3*r + 3, g*r - 2*m = -r + 1. Solve t = 5*i - 9, 0 = 5*t - 3*i + r for t. 1 Let b = -1095 - -1100. Solve 4*l - 13*o - 18 = -10*o, 0 = b*l - o - 17 for l. 3 Let w(p) = -17*p**2 - 9*p + 35. Let d be w(4). Let o = -267 - d. Solve -2*g - o*h = -h - 1, 0 = 5*g - 5*h + 15 for g. -2 Let l = -2116 + 2118. Solve -l*u = -5*q + 26, -4*u + 5*u = -3 for q. 4 Let o be ((-1)/((-11)/(-4)))/((-374)/2057) + 0. Solve -3*n + 9 = -2*a, -a + o = -5*n + 17 for a. 0 Let m be (-20)/(-7) + (((-984)/(-14))/(-12) - -6). Solve -14*k + 12*k = -5*l, -l = m*k for l. 0 Let k(f) = -3*f**2 + 254*f + 105. Let y be k(85). Solve 4*q + 5*z = 8*z - 5, -5*z - y = -q for q. -5 Let q(i) = i**2 + 7*i + 1. Let r(c) = -c**2 - c. Let a(m) = -q(m) - 3*r(m). Let u be a(3). Solve 5*l - 2*b + 11 = -u*b, l + 1 = -b for l. -4 Suppose 13*s = 5*a + 15*s - 3, 2*a + 54 = -10*s. Solve -x - 3*v = -7, a*v - 7 = -3*x + 8 for x. 4 Let o = -148 + -23. Let a = -168 - o. Solve -5*t - 29 = u, -t + 22 = -3*u - a*t for u. -4 Let b = 3061 - 3054. Solve -h - d = -b, 4 - 35 = -5*h - 4*d for h. 3 Let z = -39 - -68. Suppose -5*y - 4 = -z. Let f be 0/(5/((-20)/(-8))). Solve 3*a + 2*j + 13 = 0, a + j = -y - f for a. -3 Let c be 5067/(-18)*12/(-6). Let b = -561 + c. Solve 2*g - 2*o + 16 = b*o, 7 = 4*g + 5*o for g. -2 Let c be -1*(-9 - ((-4)/(-8))/(5/(-40))). Solve 5*h + 20 = -0*h + 4*y, 0 = -4*h + c*y - 16 for h. -4 Let n(l) = -8*l - 3. Let m = -27 - -26. Let r be n(m). Suppose 7*y = 3*y + 2*a + 6, 15 = r*a. Solve -k + 2*s = s + 1, y = -3*k + s for k. -1 Let a = -178 + 159. Let u = a + 29. Let n be 2 + 1*(-8)/4. Solve n = w - 8*k + 3*k - u, 2*w - 2 = 4*k for w. -5 Suppose 23*y + 2*v = 18*y + 2, 0 = -5*y + 5*v + 30. Solve 3*w - 17 = -y*g, 15*w = 10*w + 25 for g. 1 Suppose -d - 4*g + g + 87 = 0, 435 = 5*d + 2*g. Let n be d/18 - (-3)/18. Suppose n*w - 14 = -9. Solve 5*t - 1 = -2*o + 21, t = 3*o + w for t. 4 Let i = 425 - 420. Solve l - 5 = i*c - 4*l, c - 3*l = 7 for c. -5 Let k(u) = 2*u + 2. Let m be k(0). Suppose 3*j = m*w + 107, 29 + 150 = 5*j - 4*w. Let n be 100/j + 1/7. Solve -n*d + x = -3*x + 10, -d + 4*x = 6 for d. -2 Suppose 3*g + g = 4. Let l be (-3)/(8/14
{ "pile_set_name": "DM Mathematics" }
5, z: 5, t: 3}. 1/380 Two letters picked without replacement from ziyzzyz. Give prob of picking 1 y and 1 i. 2/21 Two letters picked without replacement from xkkknkxkkknku. What is prob of picking 1 k and 1 x? 8/39 Calculate prob of picking 3 g and 1 w when four letters picked without replacement from dndgwnddwdgdnddgnd. 1/1530 Two letters picked without replacement from {f: 17, w: 3}. Give prob of picking 1 f and 1 w. 51/190 What is prob of picking 1 k, 1 z, 1 d, and 1 a when four letters picked without replacement from ydzylak? 1/35 Three letters picked without replacement from zzzzzzzyzzzzzzzzzzzz. Give prob of picking 3 z. 17/20 What is prob of picking 1 d and 1 e when two letters picked without replacement from ddadrgdddggdeaadagdd? 1/19 Three letters picked without replacement from {u: 4, x: 2, f: 9, h: 3, m: 1}. Give prob of picking 2 u and 1 m. 2/323 Two letters picked without replacement from azuzzafefpzu. Give prob of picking 1 u and 1 p. 1/33 Calculate prob of picking 2 g and 2 r when four letters picked without replacement from {g: 2, h: 13, r: 3}. 1/1020 Three letters picked without replacement from roueo. What is prob of picking 2 o and 1 u? 1/10 Calculate prob of picking 1 t, 1 d, and 1 h when three letters picked without replacement from {d: 2, h: 1, s: 4, n: 1, t: 3}. 2/55 Two letters picked without replacement from {k: 7, s: 1}. Give prob of picking 2 k. 3/4 Three letters picked without replacement from {u: 2, c: 1, k: 2, y: 1}. Give prob of picking 2 u and 1 k. 1/10 Calculate prob of picking 1 r and 3 y when four letters picked without replacement from {g: 1, y: 1, r: 1, x: 1, f: 1}. 0 Calculate prob of picking 1 a and 1 r when two letters picked without replacement from rraarrrr. 3/7 What is prob of picking 3 q and 1 a when four letters picked without replacement from {q: 5, a: 7}? 14/99 Four letters picked without replacement from {g: 8, u: 5, f: 3}. What is prob of picking 1 u and 3 g? 2/13 Two letters picked without replacement from {b: 7, z: 1, l: 3, d: 4, y: 1}. What is prob of picking 1 l and 1 y? 1/40 What is prob of picking 1 h and 1 k when two letters picked without replacement from huwukqh? 2/21 Three letters picked without replacement from {l: 6, k: 1, n: 3, t: 3, j: 2}. What is prob of picking 1 k, 1 t, and 1 n? 9/455 Calculate prob of picking 1 q, 1 d, and 1 p when three letters picked without replacement from {q: 1, e: 2, d: 1, p: 2}. 1/10 Calculate prob of picking 2 y, 1 p, and 1 o when four letters picked without replacement from ooyyypopsf. 3/35 Two letters picked without replacement from yynnyynyyny. What is prob of picking 2 y? 21/55 Four letters picked without replacement from jrrrryryrrrrjery. What is prob of picking 2 y and 2 r? 27/364 Two letters picked without replacement from tuctsttto. What is prob of picking 1 u and 1 s? 1/36 What is prob of picking 3 c when three letters picked without replacement from {o: 14, c: 4}? 1/204 Calculate prob of picking 3 t when three letters picked without replacement from {t: 4}. 1 What is prob of picking 1 x and 1 j when two letters picked without replacement from xixxkxxjxxxzjzzxx? 5/34 Four letters picked without replacement from knnnnnnkn. What is prob of picking 2 n and 2 k? 1/6 What is prob of picking 1 r and 1 k when two letters picked without replacement from {k: 3, r: 3}? 3/5 What is prob of picking 1 k and 3 r when four letters picked without replacement from zfkfrzkryzkzzryykazk? 1/969 What is prob of picking 1 a and 1 z when two letters picked without replacement from {z: 2, x: 5, e: 7, a: 3, m: 1}? 2/51 Three letters picked without replacement from ggooooo. Give prob of picking 1 g and 2 o. 4/7 Four letters picked without replacement from {i: 15, t: 5}. Give prob of picking 1 i and 3 t. 10/323 Calculate prob of picking 3 v when three letters picked without replacement from vvvvvvvvv. 1 Four letters picked without replacement from {g: 7, v: 6, x: 1, b: 4, q: 2}. What is prob of picking 2 q and 2 v? 1/323 What is prob of picking 1 t and 1 a when two letters picked without replacement from {t: 1, n: 4, j: 7, a: 3, i: 3}? 1/51 Four letters picked without replacement from {m: 4, a: 2, d: 4, p: 6, g: 1}. What is prob of picking 2 d, 1 g, and 1 p? 9/595 Four letters picked without replacement from lrqwrlwlrjrreerrqe. What is prob of picking 1 e, 1 j, 1 q, and 1 w? 1/255 What is prob of picking 1 w and 2 i when three letters picked without replacement from {w: 9, i: 5}? 45/182 What is prob of picking 1 q and 1 p when two letters picked without replacement from {q: 1, z: 1, w: 1, g: 1, p: 1}? 1/10 What is prob of picking 1 n, 1 i, 1 t, and 1 r when four letters picked without replacement from tzrinrkz? 1/35 Three letters picked without replacement from {l: 4, k: 3, m: 4, o: 4}. Give prob of picking 2 m and 1 l. 24/455 What is prob of picking 2 s when two letters picked without replacement from pzqsqqqfqqqrsfq? 1/105 What is prob of picking 1 n and 2 y when three letters picked without replacement from ynnmnmny? 1/14 Two letters picked without replacement from {i: 7, k: 1, n: 10}. What is prob of picking 1 n and 1 k? 10/153 Calculate prob of picking 3 h when three letters picked without replacement from hhhhrrhhdh. 7/24 Four letters picked without replacement from {n: 11, u: 2}. What is prob of picking 4 n? 6/13 Two letters picked without replacement from mqqmm. What is prob of picking 2 m? 3/10 Three letters picked without replacement from tittttnttittttyntna. What is prob of picking 2 t and 1 n? 66/323 Calculate prob of picking 2 r when two letters picked without replacement from rrs. 1/3 What is prob of picking 2 z and 1 c when three letters picked without replacement from {c: 3, u: 1, z: 5}? 5/14 Calculate prob of picking 3 m when three letters picked without replacement from {d: 15, m: 4}. 4/969 Three letters picked without replacement from {h: 2, c: 2, k: 2, u: 3}. Give prob of picking 1 c and 2 k. 1/42 What is prob of picking 3 d when three letters picked without replacement from {d: 9, j: 11}? 7/95 Two letters picked without replacement from iixxixzdxwd. Give prob of picking 1 x and 1 i. 12/55 What is prob of picking 1 j and 1 w when two letters picked without replacement from {w: 2, j: 1, q: 1}? 1/3 Calculate prob of picking 1 u, 1 m, and 2 i when four letters picked without replacement from {g: 1, m: 1, n: 1, u: 1, i: 1}. 0 What is prob of picking 1 q and 1 o when two letters picked without replacement from {u: 4, o: 1, q: 1, j: 1, w: 2}? 1/36 Three letters picked without replacement from bhbrrrbrhr. Give prob of picking 1 r and 2 b. 1/8 Two letters picked without replacement from ieieeeeeeeeee. What is prob of picking 1 i and 1 e? 11/39 Two letters picked without replacement from {u: 4, w: 1, v: 3, h: 2}. What is prob of picking 1 v and 1 h? 2/15 Three letters picked without replacement from pbufpbbbpmpmzpm. Give prob of picking 1 p, 1 m, and 1 b. 12/91 What is prob of picking 2 z and 1 j when three letters picked without replacement from {z: 3, j: 2, d: 3, l: 1, a: 1, q: 1}? 2/55 What is prob of picking 1 t and 1 a when two letters picked without replacement from {a: 8, t: 2, p: 3, y: 6}? 16/171 Four letters picked without replacement from axatatauuxuuhh. Give prob of picking 2 a, 1 u, and 1 x. 48/1001 Calculate prob of picking 1 u and 1 e when two letters picked without replacement from ueurudd. 1/7 Two letters picked without replacement from {g: 5, a: 11, z: 1}. What is prob of picking 1 a and 1 g? 55/136 Three letters picked without replacement from {a: 2, f: 2, j: 1, l: 1}. What is prob of picking 1 j, 1 a, and 1 f? 1/5 What is prob of picking 1 h and 2 k when three letters picked without replacement from {h: 1, z: 2, k: 2, g: 1, d: 1}? 1/35 Four letters picked without replacement from {q: 5, m: 13}. Give prob of picking 2 q and 2 m. 13/51 What is prob of picking 4 w when four letters picked without replacement from {w: 6}? 1 What is prob of picking 1 s, 1 q, 1 o, and 1 n when four letters picked without replacement from {w: 3, n: 1, s: 4, o: 5, f: 1, q: 3}? 3/119 Calculate prob of picking 1 t and 1 u when two letters picked without replacement from tnnnqnutnrun. 2/33 Three letters picked without replacement from {w: 2, z: 7}. What is prob of
{ "pile_set_name": "DM Mathematics" }
(d) 1 c What is the fourth smallest value in 743, -0.1, -4/3, 5/4, 0.1? 5/4 Which is the fifth smallest value? (a) -2/3 (b) -5 (c) -1/3 (d) -6 (e) 5/17 (f) -0.5 c What is the sixth biggest value in 60, 0, 0.18, -1, 2, -2? -2 Which is the fourth biggest value? (a) 4/7 (b) -6 (c) 0.1 (d) 27/5 (e) 1/5 c What is the fifth smallest value in 0.4, -2/51, 414, -3, -1/5? 414 Which is the second biggest value? (a) -1/497 (b) 4 (c) -0.137 a What is the smallest value in -2/1365, 11/4, 0.5? -2/1365 Which is the fifth smallest value? (a) 1 (b) 23 (c) -16/7 (d) 0.05 (e) -0.1 (f) -5 a Which is the fifth smallest value? (a) 0.1 (b) -1/5 (c) 1 (d) 3 (e) 1/799 d What is the smallest value in -4, 0.1, -0.1, -0.05, 0.178? -4 What is the fourth biggest value in -3, 0.4, -98118, -2/5? -98118 What is the second biggest value in -0.2, 0.284, 0.4? 0.284 What is the second smallest value in -3/4, -6, -1, 3, -2/13? -1 Which is the third smallest value? (a) 0.2 (b) -3 (c) 157999 (d) -0.3 a What is the fourth smallest value in -3, 3/7, -6, -0.0042, -8? -0.0042 Which is the second smallest value? (a) -107 (b) -0.5 (c) 1/6 (d) 47 (e) 0.3 (f) -1 f Which is the smallest value? (a) 0.028 (b) 3 (c) 1 (d) 4 a What is the second smallest value in -5, 2/7, -15/14, -4/7, 3/16, -1/3? -15/14 What is the biggest value in -4.5, -1/6, 18? 18 Which is the third biggest value? (a) 4 (b) 3/5 (c) -2 (d) -3039/11 c Which is the smallest value? (a) -0.1 (b) -17 (c) 2/9 (d) 0 (e) -1/17 b Which is the third biggest value? (a) -3 (b) 5 (c) 0.4 (d) 19 (e) -1/7 (f) 50 b Which is the third smallest value? (a) 1/5 (b) 4 (c) 2/7 (d) -0.5 (e) 1344 (f) 3/7 c What is the smallest value in -0.022, -1.4, 0.452? -1.4 What is the third biggest value in -2/853, 2/125, -5, -2? -2 Which is the biggest value? (a) 8 (b) 3/58 (c) -4 (d) -5 (e) 0.26 a Which is the third smallest value? (a) -9 (b) 3/2 (c) 136 (d) 8 d What is the biggest value in 0.5, -2, -2/19, -2/65, 5, 2/7? 5 Which is the second smallest value? (a) 2 (b) -4 (c) -3/4 (d) -0.3 (e) -2/43 (f) 8/7 c What is the third biggest value in 1/9, 2, 1/165? 1/165 Which is the third smallest value? (a) 92 (b) 11 (c) -97 (d) -3 b Which is the second smallest value? (a) 3.7 (b) 8 (c) 238 (d) -3 a What is the fifth biggest value in 1/3, -6, -3, -0.3, 1.8, 3? -3 What is the second biggest value in 2, 2/11, 1/21, 16? 2 Which is the fourth biggest value? (a) 3 (b) 1407 (c) 6/11 (d) 4 c What is the fourth biggest value in 0.841, 3/2, 2, 0.5? 0.5 Which is the third biggest value? (a) -1 (b) -130.7 (c) -0.1 b Which is the fifth biggest value? (a) -4 (b) 132 (c) 4 (d) -4/7 (e) 2 a Which is the biggest value? (a) 2 (b) 7 (c) -2/9 (d) -3/4 (e) 0.02 (f) 10 f Which is the second smallest value? (a) 2/15 (b) -2/5 (c) -365/37 (d) 0.3 b What is the fourth biggest value in -3/4, -57, 0.1, -4, 0.2, 0.03? -3/4 What is the fifth biggest value in 0, -6, -0.4, -7, 1/3, 14? -6 Which is the third biggest value? (a) 17 (b) -36/97 (c) -2/13 b Which is the third smallest value? (a) -1/5050 (b) -3 (c) 6/11 (d) -2/17 a What is the biggest value in -0.5, 0.14, -68, 1/3, -0.04, 0.2? 1/3 What is the second smallest value in -0.6, 2, -7/4, 47? -0.6 Which is the smallest value? (a) 2 (b) -345/7 (c) -1 b What is the third biggest value in 5/2, -0.1, 57, -2/175? -2/175 Which is the third biggest value? (a) 959 (b) 0.03 (c) 0.1 (d) 3 c Which is the biggest value? (a) 4/7 (b) -3.5 (c) -20 (d) -1/3 (e) -3 a Which is the fourth biggest value? (a) 0 (b) 4 (c) 2 (d) -4 (e) 4/3 a Which is the third smallest value? (a) 6894 (b) 0.5 (c) -11 a Which is the smallest value? (a) -1 (b) -7 (c) 4 (d) -8/11 b Which is the third biggest value? (a) 56 (b) -2/9 (c) 0.1 (d) 3/5 (e) -4 (f) 4 d What is the second smallest value in 1/6, 6/11, 1445? 6/11 Which is the third biggest value? (a) 2446.59 (b) 6/11 (c) 0.4 (d) -1 c What is the third smallest value in -2, -2/33, 53, -17? -2/33 Which is the fifth smallest value? (a) -1/3 (b) 3/10 (c) -0.2 (d) -2/7 (e) -2/37 (f) -1/6 e What is the fourth biggest value in -862, -0.54, 4/7, -0.5? -862 Which is the sixth biggest value? (a) 4 (b) 2 (c) -3/514 (d) 1 (e) -0.3 (f) -0.4 f What is the smallest value in 5, 1, 252, -6, -0.04, -1? -6 What is the third biggest value in 1.4, 1/8, 43? 1/8 What is the biggest value in -0.5, -16, 0.5, -2/49, 0.03, -0.3? 0.5 What is the fourth biggest value in -0.05, -1/8, -1, 3568? -1 Which is the second biggest value? (a) 5 (b) -208 (c) 2/3 (d) -17 (e) -0.15 c What is the second smallest value in 3, 0, -3/64739? 0 Which is the smallest value? (a) -4 (b) 116 (c) 2 (d) 6 (e) -0.05 a Which is the third biggest value? (a) 0.4 (b) -3/2 (c) -1/51 (d) 0.28 (e) 2/9 (f) -5 e Which is the second biggest value? (a) -4 (b) 70 (c) 0.0787 c What is the fifth biggest value in -1.1, 0.005, 0.1, -3/2, 2/3, -24? -3/2 Which is the fourth biggest value? (a) -3/6107 (b) -2/5 (c) -1/7 (d) 0.1 b What is the biggest value in -2/10527, 2/15, 1.1? 1.1 What is the second biggest value in 5/4, -5, -2, -467/8, -3/2? -3/2 What is the third biggest value in 0.5, -1, -105, -0.033, -3, -5? -1 What is the fourth smallest value in -2/19, 11, -18, 3/5, 1, 2? 1 What is the third biggest value in -5/4, 8721, -13, 0.3, -0.3? -0.3 Which is the biggest value? (a) -3/2 (b) 151/9 (c) -2/13 b Which is the fourth biggest value? (a) 0.275 (b) -6 (c) 4 (d) -28 (e) 0 b Which is the smallest value? (a) -1/3 (b) -2/9 (c) 50494 (d) -3/8 d What is the second biggest value in 2, -0.4, 1.665, 5? 2 What is the biggest value in 2/3, -2, -5, 5, 7, 39/5? 39/5 Which is the third biggest value? (a) -7.2 (b) -2/9 (c) -1.7 (d) 6 (e) 4 b What is the third biggest value in 0, 6/11, -104? -104 What is the third biggest value in 0.08, 4, -266781? -266781 Which is the fourth biggest value? (a) 2.2 (b) -0.4 (c) 0.3 (d) 0 (e) -120 b Which is the fourth biggest value? (a) -1/9 (b) 1/3 (c) 8 (d) -3 (e) 0.28 a What is the third biggest value in -4/11, -5, -2/141? -5 What is the second biggest value in -2863, 1, -2, -2/15, 42? 1 Which is the biggest value? (a) -0.2 (b) 92148 (c) -6 b What is the third biggest value in -0.3, 0.07, -0.07, 0, 2/7, 2? 0.07 What is the third smallest value in 3, 8159, 2/3? 8159 Which is the biggest value? (a) -1/24 (b) -5 (c) -0.1 (d) 0.1 (e) -11 (f) 3/5 f What is the sixth smallest value in 5, 4, -11, -31, -2, 1? 5 Which is the third biggest value? (a) 580 (b) 71 (c) -2/9 c Which is the third smallest value? (a) -5.7 (b) -6 (c) 15/8 c What is the third biggest value in 2, 5404/9, 0.5? 0.5 What is the third biggest value in 2, -1, 5, -3968? -1 Which is the second smallest value? (a) -0.1 (b) 0.0572 (c) -1.12 a What is the third biggest value in -0.2, -2, -5, -688? -5 Which is the fourth biggest value? (a) -3 (b) -2 (c) -1/58 (d) -2.8 (e) 0.06 d What is the fifth biggest value in 0.5, -1, -0.1, 5, -11? -11 What is the fifth biggest value in 2/251, 67, -1/5, -4, 2? -4 What is the smallest value in 5, -5, -5/2132? -5 What is the fourth biggest value in -2/11, 244/13, 1/10, 1, -3? -2/11 What is the smallest value in 11, -2/11, -187? -187 What is the fifth smallest value in 3/2, -618, 4, -1, -0.3, 9/5? 9/5 Which is the biggest value? (a) 0.48 (b) -1/4 (c) -5 (d) -1/286 (e) 10/9 e Which is the fifth smallest value? (a) 0.05 (b) -3 (c) -13 (d) 2 (e) 3/2 d What is the biggest value in 184, 0.21, 1/8? 184 What is the fourth smallest value in -0.3, 41, 3, 0.017? 41 What is the fourth smallest value in 599, 2/3, 7, -5/3? 599 What is the third biggest value in -1, -0.05, -3, -4, -0.2? -1 What is the smallest value in -2/3, -5, 1/402? -5 Which is the second smallest value? (a) 0.2 (b) 20.3 (c) -53 (d) 0 d What is the third biggest value in -0.05, 1/6, -5/3, 5, -629, -4? -0.05 Which is the smallest value? (a) -4 (b) 10 (c) -0.03 (d) -0.095 a Which is the sixth smallest value? (a) 0.15 (b) 15 (c) 4 (d) -11 (e) 7 (f) -2 b What is the smallest value in 1/10, 1.7, -0.07, 1/50? -0.07 Which is the third smallest value? (a) -8.9 (b) 0 (c) -1744/13 b
{ "pile_set_name": "DM Mathematics" }
77)/((-54978)/(-378))? -99 Calculate -12*(-34)/1870*4/((-288)/(-30))*21. 21/11 (2/(-18))/(-1)*-35*8/(-140) 2/9 What is the value of ((-27)/(-54))/(5*(-10)/(-25))*340? 85 Calculate (-3)/((2/7)/((-41)/(-2583))). -1/6 (-47)/((-8272)/132)*3640/30 91 (-234)/195*40/(-90)*-75 -40 Evaluate 4995588/(-49584)*16/(-26). 62 What is the value of 2*60/(-336)*(18/(-20))/(58/232)? 9/7 Calculate 1*6/(-116)*2*56/56. -3/29 What is the value of ((-12)/(-27))/((-4)/186)*(51400/(-200))/(-514)? -31/3 Calculate ((-250)/80)/((-210)/(-168))*(-1)/(-30)*3. -1/4 Evaluate (44/(-3))/(2/(-9))*((-1260)/(-40))/(-63). -33 What is the value of (-527)/(-1736)*24*(-105)/180? -17/4 What is (-11)/2*(-15424)/10604? 8 Calculate (104832/21)/(-26)*(4/14)/(112/196). -96 Calculate (-165)/60*896/(-168)*(-6)/20. -22/5 Calculate ((-294)/3*(-2)/(-8))/(((-135)/10)/(-27)). -49 What is (((-2)/20)/(2/(-4)))/(60/3600)? 12 (-5391)/10183*(-34)/15 6/5 What is the value of (-160)/240*(-1)/(10/(-855))? -57 22/1*5/5*(-59)/118 -11 ((-56)/97216*-62)/(((-84)/32)/7) -2/21 What is ((-90)/108)/(3135/2376)? -12/19 Evaluate (120/5800)/((38/19)/(80/12)). 2/29 Calculate (((-5)/3)/5)/(2/(-4))*(-3780)/10500. -6/25 Evaluate (12/(-210))/((5/63)/((-45)/(-108))). -3/10 What is (16/5)/((1/(-5))/(32*(-225)/2880))? 40 What is (-12*(-86)/2064)/((-2)/244)? -61 (12/(-33))/(6*340/(-1980)) 6/17 Calculate ((-90)/84)/(-35*(-10)/245). -3/4 Evaluate (11786/(-76609))/(((-12)/1534)/3). 59 Calculate (137/411)/(((-133)/(-672))/(-19)). -32 What is the value of ((-356)/(-228))/((-2668)/(-152076))? 89 What is (74/222)/(3*(-3)/27)? -1 Calculate ((16400/75)/((-160)/(-60)))/(-1). -82 What is the value of ((-9)/4)/((-3285)/30660)? 21 What is the value of ((-16)/(-26))/((-49020)/(-21242))? 4/15 Calculate (((-6)/(-15))/(1/5))/((115/5)/138). 12 Calculate (11571/266)/((-18)/12). -29 Calculate ((-532)/1197)/((-13)/(-9)). -4/13 What is the value of (-2520)/(-63)*6/5? 48 What is (2*(-1)/(-8))/(((-11)/(-16))/(1939190/(-11560)))? -61 Evaluate 18/136*(-28526)/(-15102). 1/4 (((-6)/68)/(-3))/(-150*64/(-7680)) 2/85 What is (99/(8514/(-1505)))/((-2)/4*-1)? -35 Evaluate (2*18/64)/(14*258/(-2408)). -3/8 Calculate ((-21)/(-27))/((-1)/6)*(-480)/(-320). -7 22884/(-3814)*10/(-144) 5/12 7/((-7)/20)*(-1470)/2100 14 What is the value of 10/120*(-53352)/(-741)? 6 What is (((-8004)/203)/(-46))/((-132)/(-56))*(-1)/(-6)? 2/33 8*20*49/980 8 ((-2)/8)/((-49)/(-7784)*(-4)/(-14)) -139 (-15)/(-4)*1848/169785 2/49 What is the value of (((-15345)/165)/186)/((-16)/6)? 3/16 Evaluate 2/((-4)/(-6))*(-1661)/74745. -1/15 What is the value of (-144)/6528*(-2)/3*-2? -1/34 What is the value of (-14)/28*(-6)/(-3)*56/(-14)? 4 Evaluate ((330/(-25))/3)/(494/(-4940)). 44 (2/10)/(7427/(-42440)) -8/7 ((-1480)/(-36)*4/(-10))/((-19)/(114/4)) 74/3 Calculate (160/4)/10*((-702)/(-65))/(-6). -36/5 Evaluate ((-80)/56)/(-5)*(-62622)/5751. -28/9 Calculate (50925/(-1455))/(105/(-7)). 7/3 Evaluate (-10480)/2096*23/(-2)*(-4)/10. -23 Evaluate (-2)/18*2*69/46*7050/(-250). 47/5 What is 7/(26/(8112/(-42)))? -52 What is the value of (9/(-144)*-40)/(40/(-12))? -3/4 What is the value of (-21)/(-8)*122/(-427)? -3/4 What is (159*291/195358)/((-9)/(-24))? 12/19 What is 24/((-11)/(2574/(-1014))*(-4)/(-13))? 18 Evaluate (-20)/6*(-1598)/287640. 1/54 (1*3/4)/(1998/555*6335/336) 2/181 (-2060)/3708*18/(-8)*-4 -5 Calculate 75/(-330)*77/(-28). 5/8 Evaluate (-16)/33*(-6948)/1544. 24/11 Evaluate (-10)/(-143)*(-147708)/16785. -8/13 Evaluate ((-2)/(-3))/(3/(-99)*((-496)/(-16))/31). -22 What is the value of ((16095/(-261))/185)/((-2)/246)? 41 Calculate (-80)/(-70)*(-23002)/424. -62 What is the value of ((-10)/(-350)*-15)/(45/(-280))*4/(-80)? -2/15 (-2*10/(-8))/((1694/(-968))/((-196)/8)) 35 Evaluate (658/(-141))/(((-4)/(-10))/(18/(-15))). 14 ((-1)/(-39))/((-85860)/(-223236)) 1/15 What is the value of (15954/26590)/((-2)/80)? -24 What is the value of 28/(-70)*(144/240)/((-2)/725)? 87 Calculate (13/(351/2700))/((-5)/(-2)). 40 What is the value of (162/(-22))/(-3)*((-52)/(-312))/(8/264)? 27/2 Calculate ((-4428)/2952)/((-5)/(430/(-12)))*4. -43 Calculate (-78)/65*(-47)/8742*-155. -1 What is the value of 164/(-1230)*(115/(-7))/(29/(2842/28))? 23/3 ((-1070)/(-10))/107*33/48 11/16 (-20)/1*115/6440 -5/14 Evaluate 246/574*(-2)/9. -2/21 Evaluate 3/(((-277)/5540)/((-3)/(-12))). -15 What is the value of ((-3420)/(-5225))/(-36)*3*(-1)/(3/2)? 2/55 What is the value of (-210)/(-7)*23/(11040/32)? 2 Calculate (-3)/(-8)*(-64)/3456*18. -1/8 What is (5*11/(-35145))/(27/2268*14)? -2/213 Evaluate 8/((-48)/9)*73/(8322/2204). -29 What is 24/(-294)*301/172*42*(-5)/(-200)? -3/20 (2/(-10))/(((-2041179)/740)/(-111)*(-6)/(-7)) -2/213 Calculate 528/96*51/408*(-12)/(-22). 3/8 Calculate (10/(-7))/((-120)/(-84)*(-114)/(-95)). -5/6 ((((-442)/13)/(-34))/(3/(-6)))/(1/3) -6 -16*(-26)/(-13)*(-129)/3612 8/7 What is the value of (588/16)/7*70*(-36)/378? -35 What is the value of (96/(-15))/((-115)/(14145/82))? 48/5 What is 46/(-69)*(-4500)/(-100)? -30 (((-738)/8)/((189/(-6))/3))/(1248/(-1456)) -41/4 2134/(-110)*1115/223 -97 Calculate (24/(-7))/((-1044)/(-20097)). -66 What is the value of 3/9*(-66)/22*((-2)/1)/10? 1/5 Calculate (21/91)/(29/(203/(-77))*(-1)/11). 3/13 Evaluate (-8)/(-40)*(-10)/(-7)*(-6)/(2376/(-126)). 1/11 Evaluate 4207/6010*(-15)/(-28). 3/8 Evaluate (-48)/(-72)*((-6750)/105)/(-25). 12/7 What is the value of 28/9*6426/952? 21 What is the value of 2/((-28)/(-552)*792/(-1386))? -69 Evaluate 6/(-1)*1/1*(-6797)/1942. 21 (-71)/((-25560)/160)*7/(42/(-513)) -38 Evaluate 7*((-1950)/(-4641))/(-5). -10/17 What is the value of 11/(-6)*(((-440)/1694)/20)/1? 1/42 What is (6/(-171))/(1705/(-341)*(-10)/(-25))? 1/57 Evaluate (108/(-540))/(1/5)*(-209)/(-19). -11 Calculate ((-3042)/(-14196))/(11/(-154)). -3 Evaluate ((-2688)/76608)/((-15)/(-9)). -2/95 (10/(-11))/((-93)/(-12)*15/93) -8/11 (80/(-25))/(1*((-16)/20)/4) 16 -70*(-57)/(-19095)*67 -14 Calculate 4745/365*9/((-63)/(-28)). 52 ((6/(-16))/(9/(-6)))/(94/(-1175)*5) -5/8 ((-8740)/(-1330))/((-1)/((-84)/(-24))) -23 76296/27489*490/20 68 Evaluate 637*(-408)/37128*(54/(-56))/((-2)/(-16)). 54 Calculate (6/30*-5)/(6/21*119/(-2992)). 88 What is the value of 880/(-616)*28/(-30)*(-135)/24? -15/2 Calculate 2*(-1)/3*42*(-65)/((-1820)/(-24)). 24 -8*((-3933)/2990)/57*(-6)/((-18)/(-15)) -12/13 What is 100/((-64)/((-4480)/175))? 40 Evaluate ((-54)/(-4))/((37392/228)/(-984)). -81 ((-10)/(-40))/((-30)/(-400)) 10/3 Calculate (3/(-8))/(15/(-20))*(-72)/3. -12 Evaluate (-9)/(-5)*-2*-693*(-725)/27405. -66 (1213/(-156477))/((-6)/86) 1/9 What is 36/(-5)*570/(-152)? 27 ((-4)/20*8/4)/((-4)/(-15)) -3/2 Evaluate (-2)/(((-4)/418)/((-796)/2189)). -76 What is the value of ((-13)/(-13))/(((-858)/(-66))/(-559))? -43 ((-65)/10)/(925/5550) -39 ((-185)/740*11/(55/(-12)))/(2/(-40)) -12 Calculate -1*(-64)/(-60)*(66/(-55))/(32/40). 8/5 243/(-21)*-42*(-20)/(-720) 27/2 Calculate (-10)/(-4)*8/(-25)*3615/(-39524). 3/41 Evaluate (-4)/132*-6*(-2321)/(-5275). 2/25 What is the value of -5*1/5*714/42? -17 What is the value of (480/85680*459)/((-1)/(-14))? 36 What is the value of (465/93)/((-100)/(-160))? 8 What is the value of ((-2)/5*35/1295)/(7/(350/10))? -2/37 ((-48)/(-40))/(-42*65/1365) -3/5 Evaluate ((-5712)/(-9996))/(52/(-98)). -14/13 What is the value of 2*(-6)/(-4)*26572/(-126)*(-1005)/4355? 146 Calculate ((-2)/(-2)*4)/(1833/16497). 36 ((-84)/(-105)*(-3)/(12/10))/1 -2 What is the value of ((-1494)/2241)/(10/555)? -37 What is the value of (320/(-250))/((4512/360)/(-47))? 24/5 196/105*127/(11557/(-78)) -8/5 Calculate ((-910)/(-2275))/((-5)/5). -2/5 What is 575/920*(-384)/(-60)? 4 Evaluate (-4)/(-30)*(-7854)/154*5*-2. 68 Evaluate ((66/(-44))/(72/16))/((-134)/(-12)). -2/67 Evaluate 263328/13715*5*-1. -96 (1564/(-374))/23*(64/40)/8 -2/55 75/((-31725)/(-658))*18/(-2) -14 Calculate ((513/30)/9)/((-2834)/(-113360)). 76 What is (34/(-4879)*-123)/(78/84)? 12/13 What is the value of ((-159)/(-15741)*99)/(((-1)/3)/((-6)/(-45)))? -2/5 Calculate (((-14580)/(-24))/27)/(546/3276). 135 Evaluate (13/(-156))/((-431)/299976). 58 (52/(-84))/(16/(672/(-182))) 1/7 Evaluate 72/(-2664)*2*54/(-24)*(-4)/18. -1/37 What is (-4)/(96/(-12))*(-592)/(-1406)? 4/19 Calculate ((-27)/33)/((-2115)/1410). 6/11 What is the value of 2991/11964*((-28)/(-21))/((-2)/(-12))? 2 (((-1128)/(-752))/(6/(-
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 471 What is the third root of 663609 to the nearest integer? 87 What is the third root of 1772227 to the nearest integer? 121 What is the tenth root of 5867307 to the nearest integer? 5 What is the cube root of 2035737 to the nearest integer? 127 What is the fourth root of 1506027 to the nearest integer? 35 What is the third root of 250608 to the nearest integer? 63 What is the square root of 258029 to the nearest integer? 508 What is 121418 to the power of 1/2, to the nearest integer? 348 What is the third root of 279556 to the nearest integer? 65 What is 28863 to the power of 1/4, to the nearest integer? 13 What is the square root of 26151408 to the nearest integer? 5114 What is the seventh root of 28160 to the nearest integer? 4 What is 213459 to the power of 1/2, to the nearest integer? 462 What is 619720 to the power of 1/2, to the nearest integer? 787 What is 2193649 to the power of 1/2, to the nearest integer? 1481 What is the fourth root of 11556704 to the nearest integer? 58 What is 941797 to the power of 1/2, to the nearest integer? 970 What is 1560487 to the power of 1/3, to the nearest integer? 116 What is 6741 to the power of 1/6, to the nearest integer? 4 What is the cube root of 575771 to the nearest integer? 83 What is 14314822 to the power of 1/5, to the nearest integer? 27 What is the seventh root of 946691 to the nearest integer? 7 What is the ninth root of 2528787 to the nearest integer? 5 What is the cube root of 2726878 to the nearest integer? 140 What is the fourth root of 4002579 to the nearest integer? 45 What is 7450603 to the power of 1/2, to the nearest integer? 2730 What is 10050066 to the power of 1/4, to the nearest integer? 56 What is the square root of 645430 to the nearest integer? 803 What is the square root of 1261522 to the nearest integer? 1123 What is the sixth root of 2038577 to the nearest integer? 11 What is the square root of 37777823 to the nearest integer? 6146 What is the fourth root of 15734641 to the nearest integer? 63 What is the fifth root of 1623031 to the nearest integer? 17 What is the third root of 3324930 to the nearest integer? 149 What is the third root of 273069 to the nearest integer? 65 What is the cube root of 224566 to the nearest integer? 61 What is 10561514 to the power of 1/2, to the nearest integer? 3250 What is 881574 to the power of 1/2, to the nearest integer? 939 What is the fourth root of 18050441 to the nearest integer? 65 What is the eighth root of 7603340 to the nearest integer? 7 What is 1274285 to the power of 1/2, to the nearest integer? 1129 What is the square root of 29658339 to the nearest integer? 5446 What is 15751184 to the power of 1/2, to the nearest integer? 3969 What is the square root of 8029479 to the nearest integer? 2834 What is the fourth root of 1396648 to the nearest integer? 34 What is 42318 to the power of 1/9, to the nearest integer? 3 What is the cube root of 636086 to the nearest integer? 86 What is 1351787 to the power of 1/4, to the nearest integer? 34 What is 1019545 to the power of 1/2, to the nearest integer? 1010 What is the third root of 326321 to the nearest integer? 69 What is 34379 to the power of 1/2, to the nearest integer? 185 What is the ninth root of 8595118 to the nearest integer? 6 What is 19455 to the power of 1/6, to the nearest integer? 5 What is the tenth root of 123853 to the nearest integer? 3 What is the square root of 2456965 to the nearest integer? 1567 What is 73495 to the power of 1/6, to the nearest integer? 6 What is the cube root of 271329 to the nearest integer? 65 What is 2249426 to the power of 1/2, to the nearest integer? 1500 What is the third root of 16875 to the nearest integer? 26 What is the cube root of 2460778 to the nearest integer? 135 What is the third root of 1140286 to the nearest integer? 104 What is 209066 to the power of 1/2, to the nearest integer? 457 What is the third root of 424426 to the nearest integer? 75 What is the tenth root of 7495465 to the nearest integer? 5 What is 172633 to the power of 1/2, to the nearest integer? 415 What is the square root of 1979988 to the nearest integer? 1407 What is the square root of 457070 to the nearest integer? 676 What is the fifth root of 12100485 to the nearest integer? 26 What is 2128578 to the power of 1/6, to the nearest integer? 11 What is the third root of 8939204 to the nearest integer? 208 What is 838915 to the power of 1/3, to the nearest integer? 94 What is 86276 to the power of 1/10, to the nearest integer? 3 What is 604870 to the power of 1/6, to the nearest integer? 9 What is the sixth root of 52051 to the nearest integer? 6 What is the sixth root of 84419 to the nearest integer? 7 What is the fourth root of 4049147 to the nearest integer? 45 What is the cube root of 55208 to the nearest integer? 38 What is the third root of 439854 to the nearest integer? 76 What is the cube root of 2774839 to the nearest integer? 141 What is the cube root of 658463 to the nearest integer? 87 What is 239241 to the power of 1/2, to the nearest integer? 489 What is 170707 to the power of 1/3, to the nearest integer? 55 What is the ninth root of 432178 to the nearest integer? 4 What is the fourth root of 4682862 to the nearest integer? 47 What is the square root of 413766 to the nearest integer? 643 What is the third root of 33989689 to the nearest integer? 324 What is 17694831 to the power of 1/3, to the nearest integer? 261 What is the square root of 556840 to the nearest integer? 746 What is 500826 to the power of 1/6, to the nearest integer? 9 What is 24038322 to the power of 1/10, to the nearest integer? 5 What is 4231745 to the power of 1/10, to the nearest integer? 5 What is 2472027 to the power of 1/3, to the nearest integer? 135 What is the square root of 5342539 to the nearest integer? 2311 What is the third root of 925333 to the nearest integer? 97 What is 11604182 to the power of 1/4, to the nearest integer? 58 What is the square root of 270709 to the nearest integer? 520 What is the square root of 1273615 to the nearest integer? 1129 What is the square root of 27056595 to the nearest integer? 5202 What is the sixth root of 6682290 to the nearest integer? 14 What is the fourth root of 2305061 to the nearest integer? 39 What is the square root of 281840 to the nearest integer? 531 What is the cube root of 109762 to the nearest integer? 48 What is the square root of 14773941 to the nearest integer? 3844 What is the seventh root of 368200 to the nearest integer? 6 What is the fifth root of 762559 to the nearest integer? 15 What is 1079584 to the power of 1/2, to the nearest integer? 1039 What is the fourth root of 257383 to the nearest integer? 23 What is 9800387 to the power of 1/2, to the nearest integer? 3131 What is 2937193 to the power of 1/2, to the nearest integer? 1714 What is the fifth root of 1108153 to the nearest integer? 16 What is 207927 to the power of 1/2, to the nearest integer? 456 What is 1915848 to the power of 1/2, to the nearest integer? 1384 What is the square root of 1483515 to the nearest integer? 1218 What is 606429 to the power of 1/6, to the nearest integer? 9 What is the cube root of 19463236 to the nearest integer? 269 What is the third root of 1664602 to the nearest integer? 119 What is the tenth root of 19240570 to the nearest integer? 5 What is the sixth root of 10148878 to the nearest integer? 15 What is the seventh root of 221432 to the nearest integer? 6 What is 6232971 to the power of 1/7, to the nearest integer? 9 What is 8554113 to the power of 1/3, to the nearest integer? 205 What is 6767771 to the power of 1/7, to the nearest integer? 9 What is the fourth root of 2062418 to the nearest integer? 38 What is the fourth root of 2403328 to the nearest integer? 39 What is 10126081 to the power of 1/3, to the nearest integer? 216 What is the ninth root of 7731368 to the nearest integer? 6 What is the square root of 777068 to the nearest integer? 882 What is 31614 to the power of 1/2, to the nearest integer? 178 What is the square root of 108471 to the nearest integer? 329 What is the third root of 4858864 to the nearest integer? 169 What is the ninth root of 19865540 to the nearest intege
{ "pile_set_name": "DM Mathematics" }
2 - (-6)/((-24)/28). Let b be ((-20)/m)/(4/3). Suppose -5*p + 527 = -2*f, 2*p + 5*f = b*p - 110. Does 12 divide p? False Let d = 2649 - 1653. Does 5 divide d? False Is 11 a factor of 202194/30 + (-18)/(-90)? False Let i = -709 + 706. Let r(n) = -4 - 9*n - 3 - 4*n**2 + n**3 - 3*n**3. Is r(i) a multiple of 7? False Let a(z) = 417*z**2 + 64*z - 209. Is 34 a factor of a(7)? True Let g(f) = -13*f - 57. Let i be g(-5). Is i/36 + (-2390)/(-18) a multiple of 10? False Let j(g) = 11*g**2 - 11*g + 7. Let f(t) be the first derivative of -2*t**3 + 3*t**2 - 3*t - 7. Let u(m) = 5*f(m) + 3*j(m). Is 7 a factor of u(2)? False Is (2 - -286)*(542/18 - 42/378) a multiple of 10? True Let z(o) = -17*o + 10. Let y(p) = -528*p + 308. Let f(c) = 6*y(c) - 187*z(c). Let d be f(-12). Let a = -54 - d. Is 10 a factor of a? True Suppose -2*a + 15415 - 1261 = 0. Does 21 divide a? True Let r(u) = 15*u - 11*u**2 + 0*u - 4*u + u**3 - 5. Let w be r(10). Suppose -3*q + 26 = k + k, -w*q = 20. Does 4 divide k? False Let j = 62492 - 40413. Is 45 a factor of j? False Let h = 1621 + 1081. Suppose -h + 1119 = -2*v + 3*o, -2*v + 1607 = 5*o. Is v a multiple of 10? False Let w = 25 + 82. Suppose -2*p = 13 - w. Is 6 a factor of p? False Let u = 1142 + -711. Let a = u + -307. Suppose -3*z + y + 358 = 0, z - 8*y = -3*y + a. Is 17 a factor of z? True Let b(t) = -7*t**2 - 13*t + 5. Let m be b(-2). Suppose -5*g + 1585 = 6*f - f, m*f - 5*g - 943 = 0. Is 14 a factor of f? False Let u be 2*((-12030)/12)/5. Let w = 798 + u. Is 20 a factor of w? False Suppose -h + 3*y = -15, 22*y = -4*h + 18*y + 108. Suppose -105 = -h*v + 23*v. Is v a multiple of 34? False Let z = 3502 + -3111. Is z a multiple of 17? True Let h = 3444 - 3532. Suppose 4*y + 0*r = r + 410, -2*r + 4 = 0. Let c = h + y. Does 15 divide c? True Suppose 0 = t - 2*m - 5079, -2*t - 4*m + 10165 = -m. Suppose -16*x + t = -1719. Is x a multiple of 8? False Does 7 divide 30568 + ((-2)/4)/((-2)/(-5 - -13))? False Let j(q) = 12*q**2 + 2*q - 12. Let x be j(8). Let z = 1672 - x. Is 36 a factor of z? True Is 73 a factor of (-28950)/(-8) - (38/8 + -3)? False Suppose -4*m + 150 = 118. Suppose m*c - 9*c + 15 = 0. Is 5 a factor of c? True Let q be 4/8 - 473/(-22). Let n(r) = r + 3. Let c be n(0). Suppose 79 = c*o + q. Does 19 divide o? True Let o(h) = h**2 + 10*h + 10. Let u be o(-8). Let j be 3*(-16)/(-56)*(-1694)/u. Suppose -8*d + j + 302 = 0. Is d a multiple of 17? True Suppose -50*p + 52*p - t = 18865, -4*t - 37732 = -4*p. Is 18 a factor of p? True Let w = -128 + 128. Suppose w = -124*m + 121*m + 630. Is 14 a factor of m? True Is 7 + 736024/54 + (-20)/270 a multiple of 54? False Let y(u) = 162*u**2 - 31*u - 33. Let v be y(11). Suppose -v = -75*l + 31*l. Does 23 divide l? True Let v(d) = -553*d + 4403. Is v(-16) a multiple of 7? True Suppose 4*r - 1040 = 1192. Is 10 a factor of r? False Let u = 7923 + -1249. Is 12 a factor of u? False Let y(m) = 6*m + 22. Let p(i) = i**2 + 2*i - 7. Suppose -3*w + 2*r - 9 = 0, 3*w - 5*r = -0*w. Let j be p(w). Is y(j) a multiple of 14? True Suppose -3*l = 2*q - 18, -4*q + 0*q + 12 = 0. Suppose 0 = -l*i + m + 20, 3*i - 5*m + 26 = 4*i. Is (i/10)/(9/495) a multiple of 7? False Let t(g) = -g**2 + g + 87. Let l be t(0). Suppose l = 3*d + 2*f, -3*f = -d + 2*f + 29. Is d a multiple of 5? False Let x(u) = 6*u**2 + 18*u - 58. Suppose -4*l - 22 = -3*l - 3*z, 0 = z - 3. Is 12 a factor of x(l)? False Let z(q) = 659*q + 748. Does 91 divide z(5)? False Let v(u) = -14*u - 1. Let w be v(1). Let r = -200 - -185. Does 7 divide (-6)/r - 624/w? True Let m be 6*(-3)/(-21)*14. Let c be 1*(-1 - m/4). Is 3 a factor of 2*((-2 - -16) + c)? False Is 2/10*(76 - 74) - 16596/(-10) a multiple of 5? True Let n(s) = -2*s**3 - 74*s**2 + 49*s - 144. Is n(-38) a multiple of 63? True Let g(a) = 2*a**3 + 43*a**2 - 22*a + 18. Let k be g(-22). Suppose k*s - 120 = 13*s. Suppose o + 2*v + s = 114, -5*v = -o + 69. Does 5 divide o? False Let c = 5205 + -3175. Is c a multiple of 38? False Suppose -d = d + 4, -2*q + 4*d = -288. Suppose 7*u = 11*u - 20. Suppose a + q = u*a. Is a a multiple of 8? False Suppose 0 = -7*d + 23 + 12. Suppose d*p - 336 = p. Does 7 divide (p + 10)/(4 + -2 + 0)? False Let b = 96773 + -62173. Does 40 divide b? True Suppose -5*r - 24 = 2*w, 3*w - 2*r - 10 = 2*r. Is 20/(-10)*(1 - (-25)/w) a multiple of 13? False Let z be 1 + -1 - (-1 + 11)*-1. Is 13 a factor of z/((-100)/(-195))*(-40)/(-2)? True Suppose -2*l - 4*q + 0*q = 12, l + q + 3 = 0. Suppose -4*p + 5*n + 34 + 11 = l, -5*n = 5*p. Suppose -p*a + 105 = f, 4*f - 2*f = 3*a - 50. Is 4 a factor of a? True Suppose -804*u - 12432 = -810*u. Suppose -q + 410 = -3*h, 36*q - 31*q - 4*h - u = 0. Does 52 divide q? True Suppose -4*w - 14668 = -5*q, -3*w + 8*w = 15. Is (-5)/((-20)/q) + (-15 - -12) a multiple of 17? True Suppose 7 = -8*y + 47. Suppose -15 = n + 2*b - 188, 0 = -n - y*b + 182. Is n a multiple of 5? False Suppose -3*z = -5*y + 9 - 7, 2 = 4*y - 2*z. Is (10/y)/(18/351) a multiple of 13? True Let h(u) = 3*u + 5*u - 1 + 5. Is h(7) a multiple of 30? True Let a(r) be the first derivative of r**3/3 + 2*r**2 - 21*r - 24. Let v be a(4). Is (-14)/(-77) + 999/v a multiple of 7? True Suppose 2*c - 3*h + 6 = -h, -4*c = -h + 18. Let s be (4 + -19)/c*-3. Does 58 divide 9/(s/(-62)) - (-12)/(-3)? True Suppose -296 = -7*a - 2. Let q = a + 9. Does 16 divide q - 6/4*2? True Let n = 1219 - 2091. Let k = -272 - n. Does 27 divide k? False Suppose 24902 = -72*g + 1160198. Does 18 divide g? True Does 36 divide (-71786)/(-20) - 150/500? False Let o(m) = 9*m + 23. Let k be 0 - (-5 + 1 - 69). Suppose 5*a - k = -13. Does 32 divide o(a)? False Suppose 13271 = 1552*u - 1529*u. Is u a multiple of 7? False Let m be 16/(-10)*(2 + 18/(-4)). Suppose -h = 2*t - 260, 0 = -5*h + 4*h - m*t + 256. Suppose -9*i = -h - 366. Is i a multiple of 10? True Let b = 4259 + 3805. Is 18 a factor of b? True Let o(m) = 4*m - 31. Let r(v) = 4*v - 32 + 2*v - 2*v + 0*v. Let f(d) = 4*o(d) - 5*r(d). Is f(-17) a multiple of 13? True Suppose 25*p - 80637 = 3623 + 41340. Is 23 a factor of p? False Suppose -4*g + 574 = -2*y, -3*g + 3*y + 438 = -0*g. Let v = g - 59. Let k = -61 + v. Is k a multiple of 3? True Let m = 328 - 81. Suppose 23 - m = -16*x. Does 14 divide x? True Suppose -4*z = -2*s, -31*z = s - 26*z - 28. Suppose 0 = -s*d + 2*d + 1332. Does 9 divide d? False Is 7*447 - -4*(-3)/(60/(-35)) a multiple of 49? True Let m be 729 - (-3)/(12/16). Let v = 1126 - m. Is 56 a factor of v? False Let q = 16551 + -8037. Is 43 a factor of q? True Let w = 77 - 73. Suppose w*s - 4*p = 532, -5*p = -s - 0*p + 125. Is s a multiple of 21? False Let c(j) = -j + 1. Let x(b) = -b**2 + 7*b + 15. Let f(r) = -6*c(r) + x(r). Let h = -7 - -17. Is f(h) a multiple of 11? False Is 44 a factor of 508270/1050 - (-3)/(-45)? True Let x be 1/(4/104) - 4. Suppose 1662 + 714 = x*h. Does 23 divide h? False Let u(p) = p**3 + 9*p**2 + 10*p + 12. Let g be u(-8). Let k be 0*g/16 - -2. Is (66/2)/(k + -1) a multiple of 11? True Let w(z) = -3*z**3 - 4*z**2 - 104*z - 480. Does 7 divide w(-5)? True Suppose i - 9 = -i + 3*b, -3*i + 15 = -4*b. Let k(x) = 65*x + x**2 - 10 + 0*x**2 - 37*x - 35*x. Is 2 a factor of k(i)? True Let q(a) = -6*a**2 - 327*a + 344. Does 10 divide q(-51)? False Let w(j) = -2*j + 40. Let a be w(7). Suppose -3*i + 5*h + a = 0, 3*i - 54 = -2*i + 3*h. Is i a multiple of 5? False Let f(w) = 25*w**2 + 41 - 2*w - 19 - 24. Let z be f(2). Suppose -i + z - 14 = 0. Is i a multiple of 16? True Does 350 divide (-851 - 24)*1528/(-20)? True Suppose 5*j - 2 = -22, 5*u + 4*j = -109466. Is 4/(-28) - u/154 a multiple of 2? True Suppose 2*o = -3*w + 162, -6*o - 5*w = -3*o - 243. Let n = -129 - -79. Let a = o + n. Is 2 a factor of a? False Suppose 7*h + 24 = h. Let c(n) = 22*n**2 + 12*n + 41. Is c(h) a multiple of 23? True Let c = 8375 - -27589. Is 111 a factor of c? True Suppose 0 = -m + 13*w - 10*w + 1135, -4*w = 20. Is m a multiple of 35? True Let t(n) = 337*n**2 + 13*n - 69. Does 23 divide t(-7)? True Is 20 a factor of (-32802)/(-126) + (-4)/12? True Let s = -215 - -192. Is ((-63)/(-36))/((-1)/4)*s a multiple of 23? True Let n be (22/(-12) - -2)/(3/18). Does 41 divide n + 138 + (-27)/(-16 + 7)? False Let p(u) be the third derivative of -u**6/120 + u**5/5 - u**4/12 + u**3/2 - 13*u**
{ "pile_set_name": "DM Mathematics" }
0 in x, 11/5, 0? 0 Let x = 568 - 572. Which is the nearest to -0.01? (a) -1/3 (b) -0.1 (c) x (d) 2 b Let o = -560/187 - -54/17. Let m = -3.2 - -3.3. Let k = 0 + -3. Which is the closest to m? (a) o (b) k (c) 0 a Let v = 468 - 479. Which is the nearest to 0? (a) 0.2 (b) 2 (c) v (d) -2/9 a Let g = 49.1 - 0.1. Let u = -48.9 + g. Let r = -113/70 - -4/35. What is the closest to 1/3 in r, 2/7, u? 2/7 Let r be (6 - 2)*-2*2/(-8). Let y be 2/r*((-51)/(-18))/17. Which is the nearest to -5? (a) 0.5 (b) -0.2 (c) y b Let g = -10 + 9.98. Let j = -0.08 + g. Let c = 2/169 + -175/507. What is the closest to c in 0.2, j, -4? j Let g be -5 + 2 - (-8 + 1). Suppose 3 = g*j + 11. Let q = 79/3 - 26. What is the nearest to j in 2/11, -0.3, q? -0.3 Let q be (2/14)/((54/(-63))/(-2)). Let d be (-6)/(-2) + (-86)/30. Which is the nearest to 1? (a) d (b) q (c) -4 b Let r(i) = -i - 2. Let l be r(-3). Let y = 1834.3 + -1834. Let v be (-2 - 81/(-12)) + -4. Which is the nearest to l? (a) -5 (b) y (c) v c Let k = 14.4 + -14.1. What is the closest to 0 in k, 1, -13/8? k Let w = 1.4 + -1. Let y = 237 + -163. Let k = 368/5 - y. Which is the nearest to 1? (a) w (b) -2 (c) k a Let b = -1256/65 + 246/13. Let p = 2 - 4. What is the nearest to -1/2 in p, b, -5? b Let v = -789.8 - -790. Which is the nearest to 4/15? (a) -1/3 (b) v (c) -4 (d) 3/8 b Let z = -376 - -409.7. Let o = z + -34. What is the closest to 1/3 in 4, o, -0.5? o Let a = -25/19 + 569/57. Let z = a - 28/3. What is the nearest to -1 in z, 0, -9? z Suppose 0 = -9*s - 49 + 31. Let f = -53/2 - -26. What is the nearest to s in f, 0.2, -2? -2 Let w = 225 + -225. Suppose 2*u + 2*l + 2*l = -2, 5*u + 4*l + 5 = 0. Let p be (-1 - 24/(-21))/u. What is the nearest to w in 4/5, p, -0.1? -0.1 Let y = -3.8 - -4.1. Let p = 0.2 - 0. Let k be (-15)/(450/(-12)) + 6/(-40). Which is the nearest to p? (a) k (b) -5 (c) y a Let l be 217/(-77) + (-4)/22. Let p be (3/(-6))/(l/6). What is the nearest to p in -2/3, 3, -0.2? -0.2 Let x = -4/13 + 33/65. Let y = -736.7 + 739.7. Which is the closest to -0.2? (a) y (b) -3 (c) x c Let x = 23.1 - 22.1. What is the nearest to 0.1 in -0.4, 4, x? -0.4 Let h(s) = -10*s**2 - 6*s. Let m be h(-1). Suppose 3*o = 2*c - 3*c + 11, 2*o + 2*c - 6 = 0. What is the nearest to -3 in -1/4, m, o? m Let v = 712/3 - 238. What is the closest to v in 1, -1, 0.1, 2/35? -1 Suppose -2*u = -4*y + 10, -39*y = -43*y - 4*u - 8. Which is the nearest to y? (a) 2 (b) -1/3 (c) 42 (d) -0.2 a Let g = 51 - 66. Let r be (-114)/38*(17/g - -1). Which is the nearest to -0.1? (a) 0 (b) r (c) -2 a Suppose 9*j - 13*j = -16. What is the closest to -1/38 in j, 0, 1/5? 0 Let k = -273 + 274.11. Let o = k + -0.11. What is the nearest to 2 in o, 2, 0.1? 2 Let h = 0.33 + -1.33. Let x = -5 + 2. Which is the nearest to -0.3? (a) x (b) h (c) 0 c Let t = -16 - -29. Let v = t - 12. What is the nearest to v in 1/5, -2, 1? 1 Let a = -0.07 + -2.93. Let t = 17 - 18. Let j = 1 + t. What is the nearest to j in -2/21, -5, a? -2/21 Let s = -0.88 + 1.3. Let w = -0.02 + s. Let k = 16 + -16.2. Which is the closest to k? (a) -2/7 (b) w (c) 0.1 a Let z = 1088 + -3263/3. Which is the closest to 0.1? (a) -1 (b) 0.1 (c) -0.18 (d) z b Let f be (-14 + 12)/(1*-3). Let a = 1.2 - 1.3. Let k(o) = -o**2 - 1. Let t be k(2). What is the nearest to f in a, t, -3? a Let r = -165 - -110. Let y = -58 - r. Which is the nearest to 6? (a) 3 (b) 0.5 (c) y a Let r be (-49)/(-14)*(-16)/140. What is the closest to 0.075 in r, 1/2, -2/7? -2/7 Let j = -1/104 + -115/9672. Let a be (-268)/930 + (-2)/5. Let r = j - a. What is the nearest to 2 in 2, -4, r? 2 Let n = 0.03 + -0.06. Let m(u) = -4*u**3 - 86*u**2 - 42*u - 4. Let f be m(-21). Which is the nearest to n? (a) 2/5 (b) 0.5 (c) f a Let h(k) = -k**2 - 4*k + 1. Let y be h(-4). Let i be 1 - -1 - y/1. Suppose 271*n - 268*n = -12. What is the closest to -1/3 in 0.3, i, n? 0.3 Let y = 0.0389 + -1.0389. Which is the nearest to 1/2? (a) -5 (b) y (c) -14 b Let w = 15 - 11. Let t be (-33)/20 - (-5)/(-20). Let y = -341/190 - t. Which is the closest to -1? (a) y (b) -3 (c) w a Let k = -0.8 + -0.2. Suppose -43 = -5*z - 8. Suppose -45 = -z*w - 2*w. Which is the closest to k? (a) -4 (b) -5/3 (c) w b Let w = -0.8 - 5.2. Let o = 4 + w. Let g(s) = 9*s. Let k be g(0). What is the nearest to k in -0.1, 1, o? -0.1 Let y = -1 - -1. Suppose -16 = -5*k + 420*g - 421*g, 32 = 5*k - 3*g. Let v = 0.8 - 1. Which is the nearest to -1? (a) k (b) v (c) y b Let h = -261/2 + 130. What is the closest to h in -2/7, -0.5, 8? -0.5 Let j = -60 + 117/2. Let f = 1003 - 1006. Which is the closest to f? (a) j (b) -5 (c) -0.5 a Let n(g) = 7*g + 20. Let h be n(-4). Suppose 17*u = 21*u + 16. Which is the closest to -1? (a) h (b) u (c) -2 c Let y be 98/36 - (-4)/(-18). Let f = 1899 + -1899. Let w = -3 - -5. Which is the closest to 2? (a) w (b) y (c) f a Let t = 179 - 179.5. Which is the nearest to -1? (a) t (b) -0.4 (c) -2/15 a Let z be 1/2 - (410/16 + -25). What is the nearest to -2/51 in z, -1/5, 0.2? z Let g = -22.8 + 23. Let i = 0.4 + -2.4. Which is the nearest to 1/8? (a) i (b) 0 (c) g c Let u = 16115.946 + -16095. Let o = u - -0.054. Let z = 21.2 - o. What is the closest to -2/3 in 0.4, z, -1? -1 Let q = -4.59 + 1.59. Which is the nearest to 4? (a) 3 (b) 15 (c) q a Let d(s) = -2*s**2 + 20*s + 16. Let x be d(11). Which is the closest to -1? (a) x (b) -14 (c) 2 c Let c = 34.4 + -34. What is the closest to -1/4 in 5, c, 1/3, -0.7? -0.7 Let x(w) = -w**3 + w**2 + w - 25. Let q be x(0). Let g = q - -14. Which is the nearest to -1? (a) g (b) -4 (c) -0.1 c Let u be 1/(-9) - 1883/63. Let f = u - -31. What is the nearest to f in -2/7, 2, -1? 2 Let s = -982/5 - -197. Which is the closest to 2? (a) -3/2 (b) -0.1 (c) 3.1 (d) s c Let f = -11.6 + -5.9. Let j = 18 + f. Let r = -0.16 + 9.16. Which is the nearest to r? (a) j (b) -0.1 (c) -3 a Let y be 4/(1 - -1) + -1. Let v = 222 + -221.6. Which is the closest to y? (a) v (b) -2/11 (c) 0 a Let q = -0.18 - -1.18. Let w = -10 + 6. What is the closest to q in 0.4, 0, w? 0.4 Let r = -0.92 + 1. Let h = 56.08 - 59. Let l = h - r. Which is the nearest to -1? (a) l (b) 0 (c) 2 b Let z be ((-10)/(-225))/(105/(-25) + 4). Suppose 0 = 6*c - 3*c - 12. What is the closest to 2/7 in c, z, -5? z Let p be (-6)/9*(-2)/4. Which is the closest to 0.1? (a) p (b) 5 (c) 9.5 a Let u = -1 + 1. Suppose -2*m + 5*q = -u*q + 3, 5*m - 9 = -4*q. Which is the nearest to -0.1? (a) 3/8 (b) -3/5 (c) m a Let s = -1 + 0. Let z = -71 - -212/3. Let m be -2*(-3)/10 + 86 + -87. What is the closest to m in -4, z, s? z Let i = -2.8 + -0.2. Let o(h) = 3*h**2 - h**2 + 0*h + 3 - 4 + h. Let y be o(1). Which is the closest to y? (a) 1/3 (b) -5 (c) i a Let f = 1024 - 1024. Which is the nearest to 0.14? (a) 9 (b) f (c) -2 b Let k(t) be the first derivative of -t**4/4 + 4*t**3 + 13*t**2/2 - 5*t + 15. Let c be k(13). Let z = 0.7 + 0.3. What is the nearest to z in -0.1, 0.5, c? 0.5 Let i = -164 + 164. Which is the closest to i? (a) -2 (b) 0 (c) 3/5 b Let y = 37 + -39. Let h = y - -5. What is the closest to h in -4, -0.3, 0.1? 0.1 Let n = 7 - 27/4. Let h = -412/5 + 82. Let y = -0.04442 - -1.04442. Which is the nearest to n? (a) h (b) y (c) 4 a Let d = -45 - -73.5. Let b = d - 29. Let x(q) = -q**3 + 10*q**2 - 8*q - 6. Let v be x(9). What is the closest to v in b, -0.4, -3? -0.4 Let o = 473.3 - 473. Which is the closest to -2? (a) -0.4 (b) 4/7 (c) -0.2 (d) o a Let v = 0.087 - -0.013. Let s = -1.9 - 0.1. Which is the closest to 2/5? (a) v (b) s (c) -0.3 a Let s = 323/4 - 80. Let y = 1.246 - 0.246. Which is the closest to 0? (a) s (b) y (c) 3 a Let a = -39 + 35.1. Let g = a + 5.9. What is the closest to -1 in g, 4, 0? 0 Let q = 20.4 + -20.3. Which is the closest to q? (a) -0.5 (b) 0.2 (c) 1/25 c Let y be (4/30)/(30/(-45)). Which is the nearest to -2/3? (a) 20 (b) y (c) 0.3 b Let w = -0.24 - -0.2. Let m = -0.3 - -0.4. Let q = 949/36 - 319/12. What is the nearest to m in 1/3, q, w? w Let z = 0 + -3. Let g = 660.4 + -660. What is the closest to -0.1 in g, z, -1/3? -1/3 Let k = -0.9 - 1.5. Let n = 6.4 + k. What is the nearest to 0.1 in 3/4, -5, n? 3/4 Let s = -0.21 + 0.71.
{ "pile_set_name": "DM Mathematics" }
0111100001100100 In base 3, what is 11 + -10001210111? -10001210100 In base 8, what is -661 - 107243? -110124 In base 13, what is 11c + 552469? 552588 In base 13, what is -51 - -95bb3? 95b62 In base 8, what is -417347413 - 12? -417347425 In base 2, what is 10 - -11011010000111011011? 11011010000111011101 In base 5, what is -3100312 + 1343? -3043414 In base 14, what is 8a026c7 - -b? 8a026d4 In base 15, what is 65b1b + 116? 65c32 In base 2, what is 110001110111010111011100011110 - 11? 110001110111010111011100011011 In base 3, what is -222012221 - -211102? -221101112 In base 6, what is -50202 - -4044? -42114 In base 14, what is 2d548 + b69? 302b3 In base 9, what is -344353 - 107? -344461 In base 15, what is 136 + -178077? -177e41 In base 13, what is 27 + -73549? -73522 In base 6, what is 302 + 424511? 425213 In base 14, what is -26 - -1ddc13? 1ddbcb In base 4, what is -2 - -103320323131? 103320323123 In base 14, what is -2cd - bb6bc? -bb9ab In base 5, what is 2 + -330011210? -330011203 In base 3, what is 1200 - -12200020211? 12200022111 In base 16, what is 1e33f5 + -4b? 1e33aa In base 5, what is 211102410422 - 2? 211102410420 In base 8, what is 2 + 10372003? 10372005 In base 14, what is 1 + 33844b? 33844c In base 8, what is 4 + -4134422? -4134416 In base 15, what is -2 + -1034a29? -1034a2b In base 5, what is -1201224040 - 111? -1201224201 In base 2, what is 1000110001011010 - -110000? 1000110010001010 In base 2, what is -111011001001110110101001 - -1000? -111011001001110110100001 In base 8, what is -2 + 4036517? 4036515 In base 13, what is 2 - c3177? -c3175 In base 15, what is -242b530 - -1? -242b52e In base 14, what is -58a26bd - -2? -58a26bb In base 15, what is -143a485 + -5? -143a48a In base 7, what is -2115 - -302644? 300526 In base 2, what is -1100011110101010001101 - -110? -1100011110101010000111 In base 5, what is -104022 + -4243120? -4402142 In base 7, what is -40026562 - -4? -40026555 In base 14, what is 5 + 2d867c5? 2d867ca In base 13, what is 2305ac6 - 3? 2305ac3 In base 15, what is 3 + 251806? 251809 In base 7, what is -1306152 - -526? -1305323 In base 11, what is a2917513 - 4? a291750a In base 15, what is -312 - -1ae91? 1ab7e In base 6, what is 100310443 + 5? 100310452 In base 3, what is -1121 - 212211012210? -212211021101 In base 10, what is 498107 + 508? 498615 In base 9, what is 5 + -12835031? -12835025 In base 10, what is 670329 - 2? 670327 In base 15, what is 16 + 353c7? 353dd In base 6, what is -11013 + 1503? -5110 In base 11, what is -2226443 - 4? -2226447 In base 12, what is 15384688 - 4? 15384684 In base 2, what is -111100 - -100101000011101000011? 100101000011100000111 In base 13, what is 14c707 + -88? 14c64c In base 10, what is -137 - 1987199? -1987336 In base 8, what is -3 - -41217040? 41217035 In base 14, what is -1c4c - -8b06? 6c98 In base 16, what is 87 - 2e7d4? -2e74d In base 6, what is -1023153235 - 2? -1023153241 In base 13, what is 2b0 - 3a2a? -374a In base 6, what is -10215 + 1015252? 1005033 In base 14, what is -3498 + -c1? -3579 In base 9, what is 264 - 10047? -8673 In base 16, what is -423 - -1cb10? 1c6ed In base 5, what is 1142313123 + -2? 1142313121 In base 12, what is 26 + -34b411? -34b3a7 In base 3, what is 11 + 2210010020211? 2210010020222 In base 4, what is -3 + 130120112232320? 130120112232311 In base 12, what is -3a2 + 423675? 423293 In base 16, what is -1cef7 - 1? -1cef8 In base 11, what is -1a038 - -5a1? -19547 In base 6, what is 32 + -31221154? -31221122 In base 6, what is 0 + -13500342? -13500342 In base 13, what is -90 - -149727? 149667 In base 11, what is 1124a857 + 1? 1124a858 In base 15, what is 100 - -26aa? 27aa In base 12, what is -120a9294 + 1? -120a9293 In base 6, what is 1204 - -12202112? 12203320 In base 13, what is 106 - 12539a? -125294 In base 6, what is -432505100231 + -2? -432505100233 In base 13, what is c7866 - 130? c7736 In base 11, what is 7426 + -22695? -1626a In base 10, what is -80 + -3474655? -3474735 In base 12, what is -1b - -38a3280? 38a3261 In base 9, what is -1204 + -2454? -3658 In base 2, what is 1001000 + -10111110000000100010? -10111101111111011010 In base 4, what is -2020311330113 - -3? -2020311330110 In base 6, what is -4003405540 + -2? -4003405542 In base 4, what is 1133 - -120213223? 120221022 In base 7, what is 1 - -453510550? 453510551 In base 13, what is 0 + 7156b4? 7156b4 In base 6, what is -222 - 355142012? -355142234 In base 15, what is -1acda - -13a? -1aba0 In base 9, what is 774543 - 288? 774244 In base 15, what is -36a - -22220e? 221d94 In base 12, what is -2 + -17b7b6? -17b7b8 In base 5, what is -144024 + 113244? -30230 In base 3, what is -11 + 12211201202200? 12211201202112 In base 12, what is 2ba044b19 + 4? 2ba044b21 In base 11, what is 1 + 1855a842? 1855a843 In base 11, what is -2 + -21a46596? -21a46598 In base 6, what is -105 + 5010134? 5010025 In base 10, what is -982132 - 59? -982191 In base 5, what is 332 - -12410233? 12411120 In base 7, what is 22250 + -14315? 4632 In base 13, what is c80195 + -b? c80187 In base 7, what is -1241151446 + 0? -1241151446 In base 12, what is -42 + -411a2? -41224 In base 12, what is 1b - 23ba5? -23b86 In base 2, what is 11010010111010110110100010 + 100? 11010010111010110110100110 In base 11, what is -188 - -269a? 2512 In base 7, what is 11120061263 + -4? 11120061256 In base 10, what is 5 + -56277207? -56277202 In base 9, what is -1 - 1713831? -1713832 In base 2, what is 110001001 + 101011101000? 110001110001 In base 15, what is -eb + 622d92? 622c96 In base 3, what is -1112011020002102 - -11? -1112011020002021 In base 16, what is -4558ed88 - -5? -4558ed83 In base 8, what is 6255151 + 27? 6255200 In base 4, what is -23 - 232122012? -232122101 In base 9, what is 1404066 - 17? 1404048 In base 6, what is -2330322 - -10? -2330312 In base 2, what is 100 - 10000011010110011010? -10000011010110010110 In base 2, what is 1 - 10000101011101001000? -10000101011101000111 In base 8, what is 3 + 15267046? 15267051 In base 7, what is 12363612131 + 5? 12363612136 In base 6, what is 20313231030 - 5? 20313231021 In base 7, what is -640320355 - 3? -640320361 In base 13, what is a14902 + 11? a14913 In base 13, what is 29 - -53467? 53493 In base 2, what is 10010100000011011100 - 10011? 10010100000011001001 In base 16, what is -5ac8f - -47? -5ac48 In base 12, what is -2229660 + -6? -2229666 In base 15, what is -73a + -1672? -1dac In base 11, what is -2 - -10529035? 10529033 In base 11, what is 148649 + 67? 148705 In base 15, what is 178d12 + -11? 178d01 In base 6, what is 21530 + -14020? 3510 In base 15, what is 10 - 1c348cb? -1c348bb In base 6, what is -4510 + 5512? 1002 In base 4, what is -11130200020 + 2232? -11130131122 In base 12, what is 4b0 + -8b7? -407 In base 10, what is 2350 - -212713? 215063 In base 15, what is -62725 - 16b? -62891 In base 13, what is -45 - 149238? -149280 In base 4, what is -20313310 - -30? -20313220 In base 13, what is -610021 - a? -61002b In base 6, what is 1053001033021 - 2? 1053001033015 In base 9, what is -4443016 - 4? -4443021 In base 15, what is -a4d6 - 40? -a526 In base 2, what is 100100000111110010 + -10110111? 100100000100111011 In base 14, what is 20a8 + -126b? c3b In base 10, what is 3407 + 31618? 35025 In base 2, what is -110101001101111011100100 + 1110? -110101001101111011010110 In base 16, what is -80 - -81b2? 8132 In base 11, what is -74081a8 - -1? -74081a7 In base 14, what is 1d + 3a4688a? 3a468a9 In base 14, what is -7 + -83524? -8352b In base 14, what is 3085a223 - -2? 3085a225 In base 4, what is -12020 - 213000? -231020 In base 2, what is 1011101001101010110010 - -101110? 1011101001101011100000 In base 14, what is 11c3741a - 4? 11c37416 In base 9, what is 5 + 6366878? 6366884 In base 8, what is 0 + 33141141? 33141141 In base 12, what is -105a9 + -472? -10a5b In base 3, what is 210202101211011 + -1? 210202101211010 In base 15, what is -10c8d9ec + -1? -10c8d9ed In base 5, what is 11201 + 1224103? 1240304 In base 14, what is -d7 - 73a70? -73b67 In base 9, what is 23 + -8738330? -8738306 In base 5, what is 104140421 - -1430? 104142401 In base 7, what is -1301144305 + 4? -1301144301 In base 6, what is -4414103413 + -3? -4414103420 In base 5, what is 4033421 - 3033? 4030333 In base 12, what is -4
{ "pile_set_name": "DM Mathematics" }
510)/(-21) + 6/(-21). 21 Suppose 0 = -15*j - 237 + 5922. Suppose -323 = -8*t - 9*t. What is the remainder when j is divided by t? 18 Suppose -62*y + 1830 = -72*y. Let p = -168 - y. Let x = -16 - -25. Calculate the remainder when p is divided by x. 6 Suppose n - 4*q + 116 - 331 = 0, 2*q - 10 = 0. Suppose 10*z = -25 + n. Suppose -5*h + z = -4*h. What is the remainder when 76 is divided by h? 13 Let r(x) = 16*x**3 + 3*x**2 + 57*x - 193. Calculate the remainder when r(4) is divided by 5. 2 Let f(w) = -27*w + 532. What is the remainder when 737 is divided by f(17)? 7 Let x(r) = 14 - r + 44*r**2 - 12*r**2 - 16*r**2 - 15*r**2. What is the remainder when 80 is divided by x(0)? 10 Suppose g - 3*s = 6*g + 639, -s + 131 = -g. Let d = 150 + g. Let a(j) = 19*j + 4. Calculate the remainder when a(3) is divided by d. 19 Suppose -3623 - 4332 = -51*m - 50. Calculate the remainder when m is divided by 78. 77 Suppose -244*h - 756 = -262*h. Suppose 0 = -4*y - 38 - 10. What is the remainder when 15 is divided by y/h + (-69)/(-21)? 0 Let q(j) = -3053*j + 6160. What is the remainder when ((-71)/1)/((-1)/3) is divided by q(2)? 51 Suppose 24 = -d + 5*d. Let a(f) = -f**2 + 9*f - 15. Let m be a(d). Suppose -108 = -m*t + 69. What is the remainder when t is divided by 10? 9 Suppose 165*i = 164*i + 69. Let n(o) = 17*o + 13. Let g(l) = -8*l - 6. Let b(z) = -9*g(z) - 4*n(z). What is the remainder when i is divided by b(4)? 15 Let m be (0/2 + (-27)/18)*-8. Suppose 15*p = m*p + 75. Calculate the remainder when 149 is divided by p. 24 Suppose 0 = -5*i - 3*c + 275, 10*i - 2*c + 222 = 14*i. Calculate the remainder when i is divided by (-6)/(-5)*100/6. 18 Let y = -13769 - -15797. What is the remainder when y is divided by 67? 18 Suppose -v + 43 = -5*f, 284*v - 4*f = 286*v - 44. Calculate the remainder when 590 is divided by v. 2 Let h(k) = k**3 + 19*k**2 - 13*k - 527. Calculate the remainder when 475 is divided by h(-18). 10 Calculate the remainder when 522 is divided by (168 - -14 - 8)*1. 0 Suppose -13*w + 961 = -781. Calculate the remainder when 1051 is divided by w. 113 Suppose -7*o + 1319 = 395. Let w = -110 + o. Calculate the remainder when 128 is divided by w. 18 Let g be 110/33*(-3)/(-2). Suppose -3*n - d = -83, g*d - 139 = -3*n - 36. Calculate the remainder when n is divided by -1 - -9 - (-3 - 20/(-4)). 2 Let r = -3 - -11. Let a = -44309 - -44331. What is the remainder when a is divided by r? 6 Let j(t) = -4*t**3 - 3*t**2 + 2*t - 4. Let o be j(7). Let w = 2285 + o. Suppose w = 13*i - 420. What is the remainder when i is divided by 16? 12 Calculate the remainder when 2050 is divided by 2/(((69/18)/23)/3). 34 Suppose z = -4, 3*z = 5*y + 48 - 310. Let x(i) = 6*i**2 + 36*i - 284. Calculate the remainder when x(6) is divided by y. 48 Let l(t) = -3*t**3 - 18*t**2 - 49*t - 256. What is the remainder when l(-10) is divided by 715? 4 Suppose -9469*r + 5810 = -9455*r. Calculate the remainder when r is divided by 2. 1 What is the remainder when 1649 is divided by -20 + 644/23 + 5*1? 11 Let i = 3801 - 3691. Let k = -8 - -13. Suppose -k*c = -w - 142, 4*c - 4*w = -0*c + 120. What is the remainder when i is divided by c? 26 What is the remainder when 1315 is divided by (-1306)/(-1) + (-6 + 16 - 20 - -15)? 4 Let m(h) = -h**3 + 9*h**2 + 8*h + 48. Calculate the remainder when 609 is divided by m(9). 9 Suppose 4*v + 144 = -256. Let o = v + 103. Suppose n = o + 5. Calculate the remainder when 46 is divided by n. 6 Suppose 5*v + 3*m - 16 = 0, 2*m = -v + 8 - 2. What is the remainder when v/(-6 - -2)*-212 is divided by (12/8)/(2/48)? 34 Let n(r) = r**2 + 18*r - 9. Let k be (1 - 2/(-1))*9/(-27). Let c(w) = -21*w**2 + 2*w + 2. Let f be c(k). Calculate the remainder when n(f) is divided by 15. 9 Let v = 5814 - 5347. Calculate the remainder when v is divided by 92. 7 Let g(i) = -8*i + 4. Suppose -64*m + 73*m = -18*m + 2592. What is the remainder when m is divided by g(-4)? 24 Let b be (-46)/10 + 2 + 36/(-15). What is the remainder when 193 is divided by ((-2)/b*-1)/((-3)/105)? 11 Suppose -1737*l + 1739*l - 142 = 0. What is the remainder when 263 is divided by l? 50 Let s = -41 + 52. Suppose -12*v + s*v = -38. What is the remainder when 147 is divided by v? 33 Let t(i) = -20*i + 670. What is the remainder when t(7) is divided by 174? 8 Let f = 6105 - 6102. Calculate the remainder when 148 is divided by f. 1 Suppose 2*v + 2 = -4*g + 22, 4*g - 3*v = 30. Let z be 2*g/12 + 1 + 2. Suppose -160 = -z*k + 76. What is the remainder when k is divided by 15? 14 Let z = -127 - -134. Let k(d) = -6*d + 2. Let a(v) = 2. Let b(r) = -6*a(r) - 2*k(r). What is the remainder when b(z) is divided by 14? 12 Let b(d) = d**3 - 20*d**2 - 20*d - 23. Let o be b(21). Let y be -9*2/(-15)*(-165)/o. Let c = -77 + y. Calculate the remainder when 41 is divided by c. 19 Let o = 5879 - 5859. Calculate the remainder when 264 is divided by o. 4 Suppose -100 + 34 = -6*d. What is the remainder when -1 - (-24)/(-36)*3*-41 is divided by d? 4 Let y(z) = -63*z + 5. Let a be y(-1). Suppose -a = -4*j + 16. What is the remainder when 91/21*(17 - -1) is divided by j? 15 Suppose 5*a - 64 - 16 = 0. Suppose -2*g + 3*g = a. Calculate the remainder when 6/69 - 21945/(-759) is divided by g. 13 Let x be 8/(16/36290) + 5. Suppose 0 = 23*b - 1515 - x. What is the remainder when b is divided by 11? 8 Let s(k) = -9*k**2 - 2*k + 188. What is the remainder when 662 is divided by s(0)? 98 Suppose -3*n = 5*c + 6, 2*n + c + c + 4 = 0. Calculate the remainder when 42 is divided by n/(-11) - 480/(-22). 20 Suppose -3*m = g - 2708, -10*g + 11*g - 26*m = 2766. Calculate the remainder when g is divided by 194. 192 Suppose 13*y - 108 = 9*y. Calculate the remainder when 835/4 + (y/(-12))/(-9) is divided by 42. 41 Suppose -14*t - 1569 = -b - 4*t, -2*b = 5*t - 3063. Calculate the remainder when b is divided by 35. 34 Suppose -5*l = 5*v - 695, -10*v + 12*v - 248 = 4*l. Calculate the remainder when 1605 is divided by v. 131 Suppose -24*u + 18904 = 112*u. Calculate the remainder when u is divided by 18. 13 Let c(g) = 126*g - 720. Calculate the remainder when 323 is divided by c(6). 35 Suppose 65 = 5*q - 5*o, -o = 2*q - 5*o - 24. Suppose -3*v = -25 - q. What is the remainder when 206 is divided by v? 11 Let g = 457 - 459. What is the remainder when 201 is divided by 765/18*g/(-5)? 14 Let b be ((-2)/(-4) - 0)*(-78)/(-13). Suppose 4*a + b*a - 1113 = 0. Let c = 0 + 41. Calculate the remainder when a is divided by c. 36 Let s = -12 + 24. Suppose 0 = l + 4*a - 165 + 83, -4 = -2*a. Calculate the remainder when l is divided by 44/6*s/8. 8 Let f be ((-15)/10)/(1/(-2)). Suppose -2*a = m - 131, 7*a = f*m + 3*a - 413. What is the remainder when (-30)/m + 778/18 is divided by 9? 7 Let z(r) = 3*r**2 + 48*r + 191. Let w = 1335 - 799. What is the remainder when w is divided by z(-10)? 8 Suppose -224*d + 19644 - 2620 = 0. What is the remainder when 1927 is divided by d? 27 Suppose -i - 3*j + 290 = 0, -5*j + 149 = i - 139. Suppose 0 = 5*h - i - 122. Calculate the remainder when h is divided by 18. 11 Suppose 32*v - 585 = 23*v. Let w = -53 + v. Let h = 30 - -4. What is the remainder when h is divided by w? 10 Let u = -4203 + 4248. What is the remainder when 131 is divided by u? 41 Let s be 1 - 14/12 - (-27712)/384. Let x = 86 - s. Calculate the remainder when 54 is divided by x. 12 Suppose 4*b + 2*y - 676 = -26, 4*y = -4. Suppose 4*l + 4 + 0 = 0, -5*m + 5*l = -170. What is the remainder when b is divided by m? 31 Suppose -34 = -2*r - 8. Suppose 0 = -10*w + 883 + 307. Let l = -55 + w. What is the remainder when l is divided by r? 12 Let t be (-80)/6*270/(-15). Suppose 32 = -t*v + 242*v. Calculate the remainder when 43 is divided by v. 11 Suppose 27*q - 1400 = 23*q. Suppose x - 224 = 3*y, -5*x = -3*y - q - 710. What is the remainder when x is divided by 30? 29 What is the remainder when -4 + 316*(76/(-16) + 6) is divided by 122? 25 Let n(f) = 20*f**3 - 6*f. Let k(z) = 7*z**3 - 2*z. Let m(h) = -17*k(h) + 6*n(h). Let y = -2964 + 2977. What is the remainder when y is divided by m(2)? 1 Let n = 31 - 40. Let v(l) = l**3 + 12*l**2 + 10*l + 39. What is the remainder when v(n) is divided by 15? 12 Let r(g) = -g**3 + 7*g**2 - g + 10. Let a be r(0). Suppose 0 = -4*u - 3*n - 25, -3*u - 24 = -n + 5*n.
{ "pile_set_name": "DM Mathematics" }
+ x*i and give v. 2 Rearrange (15*n + 91*n - 831 + 833)*(0 - n - 1 + 3) to z*n**2 + h*n + x and give z. -106 Express (-4 + 1 - 1)*(-5 + 3 + 4)*(-4*a - a + 3*a)*(4 - 5 - 1) in the form i*a + x and give i. -32 Rearrange 4 - 4*l - 3*l - 19*l + 3*l to o + j*l and give o. 4 Rearrange (-258 - i + 255 + 0*i)*(-i + i - i)*(-3 + 1 + 0) to the form a*i**2 + u*i + c and give u. -6 Rearrange (t + t + 2 + 6)*(3*t - 4*t + 4*t) to u + r*t + c*t**2 and give r. 24 Express -13*t - 3*t**2 + 3*t**2 + t**3 - 2*t**2 + 15*t as v + o*t**3 + x*t**2 + r*t and give o. 1 Rearrange -4*s - 2*s + s + 0*s to the form w + j*s and give j. -5 Rearrange (-1 - 2*i**2 + 1 + (5*i + 3*i - 6*i)*(-4*i + 2*i + 6*i))*(-i + 2*i + 0*i) to the form n + p*i**2 + o*i**3 + l*i and give o. 6 Express -2*d**4 + 2*d**2 - 42 + 0*d**2 + 24 + 2*d**3 in the form p*d**2 + b*d**4 + s + h*d**3 + q*d and give s. -18 Express (-6*v + v + 6*v + 1)*(-9*v**2 + 28*v**2 - 2*v**2) as l*v**2 + f*v**3 + c + z*v and give f. 17 Rearrange -40*t**2 + 9*t - 39*t**2 + 80*t**2 to the form u*t + n + c*t**2 and give u. 9 Rearrange (55 - 12*z**2 - 55)*(-4 + 4 - 5*z + 2) to g*z**3 + b*z + k*z**2 + r and give k. -24 Rearrange (-30 + 6*i + 30)*(-5 + 6 + 2) to j*i + x and give x. 0 Rearrange 2 + 2*h**4 + 2*h + h + 0*h - 1 to the form i*h**3 + y*h + o*h**2 + r + g*h**4 and give i. 0 Rearrange 17 + 2*i**3 - 2*i - 1 + 7 to a + o*i**3 + s*i + q*i**2 and give o. 2 Express 2*i + 19*i**3 + i - i as m + k*i**3 + z*i**2 + g*i and give g. 2 Express -4*j**3 - 14*j + j**2 + 14*j + 6*j**3 in the form z*j**3 + k*j**2 + i + r*j and give r. 0 Express 6*t**2 - 22*t**2 + 0*t - 4*t + t as h + g*t + j*t**2 and give g. -3 Rearrange (-3*n + 2*n + 2*n)*(2 - 6 + 3) + 3 - 3 - 2*n - 88*n + 20*n - 9*n to the form b + w*n and give b. 0 Express 120*y**2 + 18*y**2 + 54*y**2 as a*y**2 + c + l*y and give a. 192 Rearrange ((3*g - 3*g + 2*g)*(4 - g - 4) + 2 + g**2 - 2)*(5*g - 5*g - 2*g**2 + (-4 - g + 4)*(4*g + 3*g - 5*g)) to x*g**2 + s*g**4 + y*g**3 + m*g + f and give s. 4 Express 5*u**3 - 3*u**3 - 2*u + 3*u**2 + u as d + t*u**3 + q*u + c*u**2 and give c. 3 Rearrange -2*a**2 + 3*a**4 + 7 - 6*a**4 - 5*a**2 + a + 5*a**2 to w*a**4 + d*a**2 + u*a + i*a**3 + g and give u. 1 Express 15 - 6 - 9*f - 35*f - 8 as l*f + z and give l. -44 Rearrange -3 - p**2 + 12 + p - 2*p**3 - 6 - 5 to the form c + y*p + w*p**2 + n*p**3 and give y. 1 Rearrange 6*g**2 + g**2 - 5*g**2 + (-3*g**2 - 2*g**2 + 2*g**2)*(5 - 5 + 2) to s*g + y*g**2 + q and give y. -4 Express -72*x**2 + 72*x**2 + 1 - 6*x**4 + x in the form v*x + k*x**2 + f*x**4 + b*x**3 + q and give v. 1 Rearrange (-201 + 182 - 117)*(-2*l - l**4 - 3*l**4 + l**2 + 0*l**4) to s*l**4 + z + y*l**2 + n*l + c*l**3 and give n. 272 Rearrange 9*c**3 - 1 - 3*c**3 - 4*c**3 - c**2 - c to z*c**2 + v*c**3 + h*c + l and give v. 2 Rearrange (r + 0*r + 4*r)*(-2*r**2 + 2*r**2 + r**3) + 21*r**2 + 27*r**4 - 21*r**2 to i + f*r**3 + m*r**2 + y*r + u*r**4 and give f. 0 Express -d + 22 - 2*d**2 - 96 + 40 in the form u + s*d + c*d**2 and give u. -34 Rearrange (-2*h**2 + 0*h**2 + 0*h**2)*(-5 + 3 + 1) - 5*h**2 - h**2 + 5*h**2 to the form t*h**2 + x*h + r and give t. 1 Express (-31 + 102 - 36)*(-x + x + x**2 + (-3*x - 4*x + 5*x)*(2 - x - 2) + x**2 + 0*x**2 + x**2) as v*x + l + w*x**2 and give w. 175 Express 2 - 2*y**4 - 12*y**3 + 0 + 7*y**3 as d + o*y + l*y**3 + p*y**2 + t*y**4 and give t. -2 Rearrange -7 + 3*g - 4*g - 4*g + 4*g to a*g + d and give d. -7 Rearrange -41*l - 20*l + 22*l - 6*l to the form i*l + c and give i. -45 Rearrange 38*h**2 - 37*h**2 + h - 2*h to the form q*h**2 + d + s*h and give s. -1 Express 62*a - 22*a + 56*a in the form y + l*a and give l. 96 Rearrange (5 - 3 + 0)*(7 - 66 + 47*u - 45*u) to the form x + v*u and give x. -118 Express -4 + x**2 - 2*x + 3 + 1 as p*x**2 + d + i*x and give p. 1 Rearrange 3*r**3 - r**2 - 4*r**3 + 4*r + 3*r**2 - r**2 to the form y + i*r**2 + j*r + f*r**3 and give f. -1 Rearrange (1 - 2 - 2)*(6*f - 4*f + 9*f) + (0*f - 3*f + 2*f)*(2 - 1 - 3) to j + i*f and give i. -31 Rearrange -232*n**2 - 233*n**2 + 1 + 466*n**2 to d*n**2 + j*n + w and give d. 1 Rearrange -26 + 26 - 42*a to y*a + g and give y. -42 Rearrange 2*p**3 - 4*p**2 + 0*p**3 + 5*p**2 - 4*p**3 + 2*p**4 + p to the form g*p**2 + o + j*p**4 + r*p**3 + z*p and give j. 2 Rearrange (2*g - 4*g + 3*g)*(-4*g + g + g)*((1 - 2 - 1)*(0*g**2 - g**2 - g**2) + 9*g**2 - 5*g + 5*g) to t*g + z*g**3 + o*g**2 + b*g**4 + l and give b. -26 Express (1 + 1 - 3)*(1943*b - 993*b - 1002*b)*(-6*b**2 + b**2 + 3*b**2) in the form o*b**3 + m*b + x*b**2 + r and give o. -104 Express j**4 + 6*j + 3*j**2 - 4*j - 2 + 4*j**2 - 5*j**2 in the form u + r*j**4 + x*j**2 + k*j**3 + n*j and give r. 1 Rearrange 6*m**2 + 3*m**2 + 21*m - 18*m to s*m**2 + b*m + y and give b. 3 Rearrange -15*u + 6*u + u + 28*u + 2 to z*u + i and give i. 2 Rearrange (3*k - 15*k - 9*k)*(0*k**2 + 0*k**2 + 3*k**3) to the form l + q*k**2 + m*k + z*k**3 + i*k**4 and give i. -63 Express 3*d - 10*d + 0*d - 8*d as l*d + f and give l. -15 Express (f**4 - 75 + 2*f**3 + 11*f**2 + 75)*(0 + 2 + 0) as o*f**4 + j*f**2 + q*f**3 + b*f + y and give q. 4 Express -k**3 + 4*k + 2 - 6*k**2 - 2 - 5*k in the form s*k + z*k**2 + h + y*k**3 and give s. -1 Express (2 - 4 + 0)*(5*r - 6*r + 5*r + (-1 - 4 + 1)*(-r + 3*r - 3*r)) in the form s + o*r and give s. 0 Rearrange -p - 2*p**2 + 3*p**2 + p**3 - 4*p + 4*p to t*p**2 + r*p + n*p**3 + g and give r. -1 Rearrange (-25*y + 10 - 7 + 28*y)*(2*y - y**2 - 2*y + (-y + 0*y + 2*y)*(1 - 1 + 2*y)) to the form t*y + x*y**3 + v*y**2 + s and give v. 3 Rearrange -3*c**2 + 2*c**2 + 4*c**2 to the form a*c**2 + l + n*c and give n. 0 Rearrange (-4*k + 10*k - 4*k)*(2 - 2 + 2)*(k - 2*k + 2*k) to the form j*k**2 + d*k + i and give i. 0 Express -11*d**2 + 4*d - 6*d + 7*d**2 + d**4 as x + c*d**3 + v*d**2 + u*d + o*d**4 and give u. -2 Express (7*l + 4*l - 6*l)*(5 - 2 - 5 + 1 + 0 - 5 + (-1 + 2 + 0)*(-4 + 1 + 2)) as m*l + g and give m. -35 Rearrange (10*s**3 + 31*s**3 - 24*s**3 + 2*s**2)*(0 + 2 - 4) to the form d + v*s**2 + y*s**3 + t*s and give v. -4 Express (103 - 7*u - 103)*(-2*u + 5*u - u) as v + b*u**2 + c*u and give b. -14 Express (1 - 2*q - 1)*(q - 3*q - 10*q) - 3*q**2 + 4*q**2 + 0*q**2 in the form x*q + b*q**2 + k and give b. 25 Express 3*b**2 + 2*b + 2 - 3*b**2 + 1 + 4*b**3 as h*b + y + k*b**3 + i*b**2 and give k. 4 Rearrange 8*p**4 + 4 + 3 - 3 + 2*p**3 - 10*p**4 - p to z*p**2 + i*p + f*p**3 + q + t*p**4 and give i. -1 Rearrange (-1 + 0 + 0)*(4 + 1 - 3)*(32*d + 23*d + 28*d) to q*d + n and give n. 0 Rearrange 5*d**2 + 2*d**3 - 7*d**2 - 6*d**3 - 2*d + 0*d to the form j*d**2 + l*d**3 + b + r*d and give l. -4 Express 2*a - 6*a + 3*a - 7*a - 4 + 4 + 4*a - 2*a - 4*a + (1 - 1 + 1)*(-1 + 1 + a) + 4*a + 0*a - 2*a in the form s + q*a and give q. -7 Rearrange 3*c + 3 - 3 + 580 - 580 - 24*c + (c - c + 2*c)*(-5 + 2 + 5) to d*c + g and give d. -17 Express v**4 + 14*v**2 - 2*v**3 - 2 - 12*v**2 + 11*v - 3*v + 3 as d*v**3 + p*v**4 + j*v**2 + g*v + i and give d. -2 Rearrange -3 + h - 51*h**2 - 54*h**2 + 107*h**2 to the form z*h**2 + w + g*h and give z. 2 Rearrange -4*q**4 + 0*q**3 - 3*q**2 + 2*q**3 + 1 + 1 - q**3 to s + a*q**3 + n*q**2 + b*q**4 + c*q and give b. -4 Express -2*g**2 + 2*g**2 - g**3 + (g**3 - 3*g**3 + 5*g**3)*(-5 - 1 + 4) + 3*g**3 - 5*g**3 + g**3 as m*g**3 + i*g**2 + n*g + x and give m. -8 Express -35*u**4 - 43*u**4 + 1 - 2*u**2 + 80*u**4 + 2*u as d*u**4 + r*u**2 + h*u**3 + j*u + y and give h. 0 Express k**3 - k**4 + 1 + k - 4*k**2 + 3*k**4 + 5*k**2 - k**4 as z*k**3 + x + v*k**2 + t*k**4 + j*k and give j. 1 Express p**4 - 3*p + 3*p**3 + 0*p**3 - 2*p**3 + 1 + 1 - p**2 as w*p + b*p**4 + r + t*p**2 + a*p**3 and give w. -3 Express 0*i**4 + 0*i**2 - 3*i**4 - 3*i + i**4 + 2*i**2 + 2 + 3*i**3 as q*i**2 + w*i**4 + u*i**3 + v + r*i and give r. -3 Express -9*i + 27 - 54 + 32 as z + o*i and give z. 5 Rearrange (o - 2*o - o)*(-2 + 4 - 3 + 1 + 0 + 0 + (4 + 5 - 16)*(3 + 1 - 2) + 2 + 3 - 3) to the form w + c*o and give c. 24 Express (11*g - 7*g + 3*g)*(2*g - 4*g + g) - g**2 + 2*g**2 + 0*g**2 in the form o*g + v + x*g**2 and give o. 0 Express -3*n**3 + 3*n**2 - 3*n**2 + (2 + 3*n - 2)*(n**2 - 4*n**2 + n**2) - 2*n**3 + 2*n**3 - n**3 in the form w*n + t*n**3 + g + j*n**2 and give t. -10 Rearrange -20*x**2 + 85*x**2 - 16*x**2 to m*x**2
{ "pile_set_name": "DM Mathematics" }
/9*u/(-4). What is l(w)? -10 Let w(l) = l**3 + 5*l**2 + 2*l - 2. Let c = 9 + -3. Suppose 4*u + c = -5*y, 3*u + 30 = -2*u + 5*y. What is w(u)? 6 Let u(h) = 5*h + 9*h + 4 - 13*h. Give u(-6). -2 Let y(v) = v + 9. Let d be y(-4). Let c(n) = -7*n + d*n + n. Give c(4). -4 Let a(k) = k + 4*k**2 + k + 10 + k**3 - 4. Let c(x) = x**3 - 3*x**2 - 5*x + 2. Let w be c(4). Let b(y) = -y**2. Let d be b(w). Determine a(d). -2 Let d = 3 - 2. Let w(a) be the second derivative of a**3/3 - a**2/2 + 4*a. Calculate w(d). 1 Let c = 1 + 1. Suppose 6*g = k + g + 13, 0 = c*k + 5*g - 19. Let a(r) = -1 + r - k*r - 3. Give a(-4). 0 Let g(v) = 0*v - 4 - 1 - 2*v + 3*v. What is g(5)? 0 Let s(h) be the third derivative of -3*h**4/8 + h**3/6 - 12*h**2. Give s(-2). 19 Let n(q) = -q**3 - 8*q**2 - q - 3. Let b be n(-8). Let h(a) = -3*a**2 - 2*a - 2*a**2 - 1 + a**3 - 6. Calculate h(b). -17 Let h be ((-6)/(-10))/(5/25). Let o(j) = 2*j**2 - j**2 - h*j**2 + j**3 + 3 - 3*j. Suppose -2*k = 4*l - 6, -4*k + 5 = -3*l - 7. What is o(k)? 3 Let h(s) = s + 11. Let g(w) = w + 12. Let f(a) = 5*g(a) - 6*h(a). Give f(-6). 0 Let m be 13 + 4*(-2)/(-8). Let q = m + -12. Let r(t) = t**3 - 2*t**2 - 2*t. Determine r(q). -4 Let u(j) = -2*j + 3. Let o(z) = -2*z**2 - 12*z - 9. Let n be o(-4). Give u(n). -11 Let z be (-33)/(-6) + (-2)/4. Let d(x) = -2*x**2 - 9*x - 4. Let y(i) = -3*i**2 - 10*i - 5. Let t(k) = -4*d(k) + 3*y(k). Calculate t(z). 6 Let k(l) be the second derivative of -l**4/12 - l**3/3 - l. Suppose -1 = -f + 2. Let n be -1 - (-1 - 1) - f. Give k(n). 0 Let l = -160 - -156. Let a(g) = -g**3 - 5*g**2 + g + 3. Determine a(l). -17 Let g(r) = 14 - 3*r**2 + r**2 - 13. Let k = -2 - -3. Give g(k). -1 Let a(w) be the second derivative of -w**5/120 + w**4/6 - w**3/3 + 2*w. Let v(p) be the second derivative of a(p). Let u be (-20)/90 + (-2)/(-9). What is v(u)? 4 Let d(z) = 2*z - 5. Let j be d(5). Let i(y) = j + y - 2 + 2*y - 2*y. Calculate i(-4). -1 Let f(p) = -2*p + 1. Suppose 0 = -l + 6*l - 10. Suppose -5*c - 35 = 5*a, 2*c + l*c = 3*a + 7. Give f(c). 5 Let f(p) = p**2 - 3*p - 1. Let z be (57/95)/(2/10). Calculate f(z). -1 Let u = -35 + 36. Let n(y) = 16*y. Give n(u). 16 Let r(i) = -5*i**2 + 7 + 0*i**3 + 2*i**3 - 5*i**3 - 6*i + 4*i**3. Let g(y) = y + 6. Let m be g(0). Determine r(m). 7 Let n(v) = v**3 + v**2 - 5*v. Let p(b) = b. Let a(g) = -n(g) - 5*p(g). Let d(x) = 4*x**3 - 5. Let h(s) = -5*a(s) - d(s). Calculate h(-5). 5 Suppose 6 = -4*p - 3*y - 5, -3*y - 14 = p. Let r be (-68)/(-6) + p/(-3). Suppose -3*f + r = 2. Let a(m) = 3*m. Calculate a(f). 9 Let r(i) = 8*i - 2. Let p(a) = a - 1. Let g(z) = -4*p(z) + r(z). Give g(-2). -6 Let r(u) = u - 4. Let a = 13 - 11. Suppose -4*b + 5*b = -x + a, -5*b - x + 14 = 0. Calculate r(b). -1 Suppose 6 = -2*g + 12, -2*g = j - 8. Let b(q) = 4*q**2 - q - 2. Give b(j). 12 Let r(y) = y - 6. Let h be r(0). Let f be (75/h)/(3/(-6)). Suppose -2*b = 3*b - f. Let u(d) = d**2 - 6*d - 1. Determine u(b). -6 Suppose -5*z = 4*o - 29, o - 3*z = 6*o - 33. Let s(a) = 5*a**3 - 7*a + 4 + o*a**2 + 0*a**3 - 6*a**3. Calculate s(5). -6 Let p be ((-44)/(-55))/((-4)/(-10)). Let c(o) = -2*o**2 + o - 2. Determine c(p). -8 Let x(w) = -3*w**2 - 2*w - 1. Let l be x(-1). Let v(q) be the first derivative of 3*q**2/2 - q - 3. Calculate v(l). -7 Let u(l) = l**3 - l**2 + 3. Let m = 13 - 13. Determine u(m). 3 Let b(a) = 6*a**3 - 2*a - 1. Let s(j) be the second derivative of -j**4/12 + j**3/2 - j**2/2 + 5*j. Let f be s(3). Determine b(f). -5 Let x(f) be the third derivative of 0 + 2/3*f**3 - f**2 - 1/60*f**5 + 0*f + 5/24*f**4 - 1/120*f**6. Calculate x(-3). 7 Let r be 28/7 + (6 - 3) + -1. Let g(w) = -w**3 + 5*w**2 + 8*w + 1. Calculate g(r). 13 Let g(k) = -10*k. Let s(d) = -d**2 - 10*d - 2. Let o be s(-10). Let y be o/(3/((-6)/4)). What is g(y)? -10 Let z(l) be the third derivative of 1/3*l**3 + 1/24*l**4 + 0*l - l**2 + 0. Suppose 0 = 5*j + y + 12, -4*y + 24 = -0*j - 4*j. Give z(j). -1 Suppose -8*s - 10 + 58 = 0. Let t(u) = 2*u + 2. Determine t(s). 14 Let q = 3/434 + 127/13020. Let a(w) be the third derivative of 2/3*w**3 + 2*w**2 + q*w**5 + 0 - 1/6*w**4 + 0*w. What is a(4)? 4 Let i(o) = 2*o**2 - o - 1. Suppose 3*k - 2 = -5*r - 4, -5*k - 26 = -3*r. What is i(r)? 5 Let t be (-2 - (-1 - 0))/((-15)/(-75)). Let n(y) = -y**3 - 3 - 6*y**2 + y**2 + 0*y**2. Determine n(t). -3 Let t(x) be the first derivative of 6*x**2 - 14*x - 6. Let o(l) = -8*l + 9. Let j(f) = 8*o(f) + 5*t(f). Determine j(3). -10 Let s(c) = c. Let o(x) = -x**2 - 8*x - 3. Let l be o(-7). Let g(b) = 3*b**2 + 2*b + 1. Let z be g(-1). Suppose l = z*h, w = -w + 3*h - 14. Give s(w). -4 Let l(i) = -2*i**2 + 6*i - 5*i - 3*i**3 - 2 + 0*i**2 + 5*i**3. Determine l(2). 8 Let f = -1 - -8. Let c(l) = l**3 - 8*l**2 + 8*l. Let m be c(f). Let y(h) = h**3 - 8*h**2 + 9*h - 8. What is y(m)? 6 Let i(d) be the first derivative of -d**5/20 - d**4/12 + d**3/6 - d**2 + d - 2. Let a(g) be the first derivative of i(g). What is a(-2)? 0 Let a(f) be the third derivative of f**8/20160 + f**7/1008 + f**6/360 - f**5/20 - 2*f**2. Let r(u) be the third derivative of a(u). Give r(-2). -4 Let h(i) = 5*i - 2. Let x(m) = -m + 1. Let u(r) = -h(r) - 3*x(r). Let a(q) = 1 + q - 1 - 5. Let g be a(4). Determine u(g). 1 Suppose -21 = 5*p - 6*p. Let h(l) = -l + p*l**2 - 15*l**2 - 11*l**2. Calculate h(-1). -4 Suppose 5*p + 0*p - 40 = -4*c, 3*c + 5*p - 35 = 0. Let t(z) = -2*z + 1. What is t(c)? -9 Let f = 4 - 2. Suppose 2*l + f = 6. Let y(k) = -5*k + k**3 - l*k**2 + 6 - 2 + 2*k. Determine y(3). 4 Let o = 11 + -7. Let d(m) = m**2 - 6*m + 3. Determine d(o). -5 Let u(z) be the second derivative of 0 - 1/3*z**3 - 5/12*z**4 + z**2 - z - 1/20*z**5. Determine u(-4). -6 Let n(z) = -17*z**3 + 2*z**2 + 6*z - 1. Let y(h) = 16*h**3 - 2*h**2 - 5*h + 1. Let q(m) = -5*n(m) - 6*y(m). What is q(1)? -10 Suppose 8 = 4*v - 4. Let b(g) be the third derivative of -g**6/120 + g**5/12 - g**4/8 - g**3/3 + 5*g**2. Calculate b(v). 7 Let i(j) = 45 - j**2 + 0*j**2 - 102 + 49 + 7*j. Give i(6). -2 Let d(z) = -4 - 282*z + 0*z**2 + 285*z - 2*z**2. Give d(2). -6 Let u(l) be the first derivative of -l**4/12 + l**3/2 - l**2 - 2. Let z(g) be the second derivative of u(g). Let t(v) = v**2 - v + 5. Let a be t(0). Give z(a). -7 Let r(o) be the third derivative of -o**4/12 + 4*o**3/3 - 2*o**2. Give r(6). -4 Let t(l) = -176 - 177 - 3*l**2 + 354. Give t(-2). -11 Let j(u) be the third derivative of -1/8*u**4 - 1/60*u**5 + 5*u**2 - 1/6*u**3 + 0 + 0*u. Determine j(-5). -11 Let n = -27 + 29. Let j = 8 + -1. Let h(d) = -2*d - 3*d**n + 2*d**3 - d**3 - j + 2 + 0*d. Determine h(4). 3 Let n(r) be the first derivative of r**3 + r**2/2 + 1. Suppose -3*s - 13 = -4*s - 3*g, 0 = 5*s - 5*g + 15. Let y be n(s). Let h(t) = -2*t + 5. Give h(y). -3 Let i(v) = -2*v**2 + 2*v + 2. Suppose 5*h - 4*h = 4, -3*h = 2*x - 16. Calculate i(x). -2 Let s(i) = -i + 4. Let h = -16 + 1. Let k = h + 18. Determine s(k). 1 Let n(j) = 2*j - 2. Suppose -d + 3*r + 15 = -0*d, 0 = 4*d - r - 27. What is n(d)? 10 Let k(f) = -4*f - 1 + f**2 + 0 + f**3 - 2 + 0. Let o(n) = n**2 - 6*n + 5. Let m be o(4). What is k(m)? -9 Let q(t) = -2*t + 12. Let b = 67 + -59. Calculate q(b). -4 Let j(y) = 17*y - 8. Let h(g) = 15*g - 6. Let i(r) = -7*h(r) + 6*j(r). Let s = -8 - -4. What is i(s)? 6 Let c = 12 - 18. Let u(t) = t - 1. Calculate u(c). -7 Let w(v) = -v**3 + 8*v**2 - 6*v - 10. Let p(u) = u + 5 + 5 - 4 + 11. Let m be p(-10). Determine w(m). -3 Let p(d) = 2 + d**3 - 7*d - d**2 - 4*d**2 + 11 - 4. Determine p(6). 3 Let j(y) = 2*y - 8. Let p be 64/12*(-6)/(-4). What is j(p)? 8 Let n(m) = 5*m**3 - 5*m**2 - 3*m - 7. Let b(k) = -6*k**3 + 5*k**2 + 4*k + 8. Let l(a) = 4*b(a) + 5*n(a). Determine l(4). -15 Suppose -12 = 4*c, -n + 2*c + 7 = c. Let u(t) be the second derivative of 3*t + 0*t**2 - 1/12*t**n + 0 + 5/6*t**3. Calculate u(5). 0 Let d be -1 - (-7 - (-4 + 2)). Let w(l) = d*l**2 + 2 - 2*l**2 - 4*l**2 + 2*l - 1. What is w(2)? -3 Let u(z) = -4*z + 1. Let m(n) = 3*n. Let w(k) = 5*m(k) + 4*u(k). Suppose -4 = -r - 2*t, -r + 4 = -t + 2*t. Give w(r). 0 Let x(l) = 2*l + 1. Let y be (2 - (11 - 6))*4/(-6). Calculate x(y). 5 Let t(b) = -2*b + 2. Let m be 24/(-14)*42/6. Let o be ((-2)/3)/((-8)/m). Let y(r) = -2*r**3 - r**2 - 2*r - 1. Let v be y(o). What is t(v)? -2 Let s = 0 - 6. Let v(q) = -3*q**3 - 4*q*
{ "pile_set_name": "DM Mathematics" }
e hundreds digit of 12763198? 1 What is the units digit of 1826619? 9 What is the tens digit of 20419964? 6 What is the units digit of 161631? 1 What is the tens digit of 9569? 6 What is the hundreds digit of 362731? 7 What is the thousands digit of 1033278? 3 What is the hundred thousands digit of 547535? 5 What is the hundreds digit of 1372270? 2 What is the ten thousands digit of 321306? 2 What is the thousands digit of 456296? 6 What is the hundred thousands digit of 412392? 4 What is the hundreds digit of 1831954? 9 What is the units digit of 2254121? 1 What is the tens digit of 22708418? 1 What is the ten thousands digit of 8495820? 9 What is the hundreds digit of 182538? 5 What is the tens digit of 86509? 0 What is the hundred thousands digit of 15297496? 2 What is the units digit of 7460666? 6 What is the tens digit of 2371256? 5 What is the ten thousands digit of 2793120? 9 What is the thousands digit of 1927786? 7 What is the hundreds digit of 19399804? 8 What is the thousands digit of 40438? 0 What is the hundreds digit of 1590951? 9 What is the thousands digit of 14684? 4 What is the thousands digit of 187972? 7 What is the units digit of 2804580? 0 What is the ten thousands digit of 20154052? 5 What is the units digit of 736702? 2 What is the hundreds digit of 250206? 2 What is the tens digit of 123251? 5 What is the hundreds digit of 2048711? 7 What is the thousands digit of 184600? 4 What is the units digit of 813312? 2 What is the ten thousands digit of 106761? 0 What is the tens digit of 299903? 0 What is the thousands digit of 164742? 4 What is the hundred thousands digit of 520569? 5 What is the hundreds digit of 4369683? 6 What is the hundred thousands digit of 9847716? 8 What is the hundreds digit of 1687745? 7 What is the thousands digit of 20266439? 6 What is the tens digit of 269971? 7 What is the units digit of 12081? 1 What is the units digit of 20321? 1 What is the hundred thousands digit of 2284808? 2 What is the tens digit of 35735? 3 What is the units digit of 655405? 5 What is the units digit of 570967? 7 What is the hundred thousands digit of 1180394? 1 What is the thousands digit of 71018? 1 What is the units digit of 205589? 9 What is the ten thousands digit of 457079? 5 What is the millions digit of 4241965? 4 What is the tens digit of 200689? 8 What is the ten thousands digit of 784391? 8 What is the hundreds digit of 2827761? 7 What is the millions digit of 3227677? 3 What is the units digit of 40597035? 5 What is the millions digit of 6307791? 6 What is the tens digit of 170124? 2 What is the ten thousands digit of 957830? 5 What is the thousands digit of 640199? 0 What is the ten millions digit of 19591568? 1 What is the hundred thousands digit of 11149441? 1 What is the tens digit of 2325274? 7 What is the units digit of 176152? 2 What is the units digit of 167307? 7 What is the ten thousands digit of 10091234? 9 What is the ten thousands digit of 392802? 9 What is the millions digit of 3701695? 3 What is the tens digit of 63707? 0 What is the hundred thousands digit of 6780660? 7 What is the hundred thousands digit of 9436937? 4 What is the millions digit of 1820600? 1 What is the hundreds digit of 307185? 1 What is the ten thousands digit of 12391568? 9 What is the hundreds digit of 14127569? 5 What is the units digit of 476170? 0 What is the ten thousands digit of 12690885? 9 What is the ten millions digit of 24142493? 2 What is the tens digit of 521077? 7 What is the tens digit of 1672241? 4 What is the millions digit of 16205073? 6 What is the units digit of 1554451? 1 What is the ten thousands digit of 254804? 5 What is the ten thousands digit of 684707? 8 What is the tens digit of 871368? 6 What is the ten thousands digit of 7242483? 4 What is the thousands digit of 5410660? 0 What is the thousands digit of 339017? 9 What is the ten thousands digit of 5044764? 4 What is the units digit of 2335085? 5 What is the millions digit of 7635866? 7 What is the tens digit of 9358579? 7 What is the thousands digit of 2281670? 1 What is the ten thousands digit of 97484? 9 What is the ten thousands digit of 561711? 6 What is the thousands digit of 639697? 9 What is the ten thousands digit of 1620360? 2 What is the hundred thousands digit of 218138? 2 What is the ten millions digit of 21212895? 2 What is the millions digit of 18657888? 8 What is the ten thousands digit of 601032? 0 What is the hundreds digit of 253544? 5 What is the hundreds digit of 306643? 6 What is the units digit of 7869519? 9 What is the millions digit of 21743888? 1 What is the thousands digit of 163800? 3 What is the units digit of 785400? 0 What is the ten thousands digit of 1306038? 0 What is the tens digit of 1932608? 0 What is the ten thousands digit of 1097355? 9 What is the hundred thousands digit of 412914? 4 What is the hundreds digit of 44579? 5 What is the units digit of 1965403? 3 What is the hundreds digit of 266467? 4 What is the tens digit of 302683? 8 What is the units digit of 27357375? 5 What is the hundreds digit of 26309000? 0 What is the units digit of 233952? 2 What is the hundreds digit of 295294? 2 What is the units digit of 1550532? 2 What is the millions digit of 1097072? 1 What is the units digit of 177761? 1 What is the hundreds digit of 1072323? 3 What is the hundred thousands digit of 731079? 7 What is the tens digit of 4686706? 0 What is the thousands digit of 2037844? 7 What is the tens digit of 786102? 0 What is the units digit of 534801? 1 What is the hundred thousands digit of 130746? 1 What is the units digit of 7613723? 3 What is the hundred thousands digit of 2993554? 9 What is the hundreds digit of 4693898? 8 What is the hundreds digit of 8758533? 5 What is the hundreds digit of 633149? 1 What is the hundred thousands digit of 609973? 6 What is the ten thousands digit of 44552? 4 What is the millions digit of 1369123? 1 What is the units digit of 1362236? 6 What is the ten thousands digit of 3271183? 7 What is the units digit of 158223? 3 What is the hundreds digit of 5660476? 4 What is the hundreds digit of 503366? 3 What is the hundreds digit of 2294874? 8 What is the units digit of 775077? 7 What is the hundreds digit of 1307508? 5 What is the units digit of 109159? 9 What is the ten thousands digit of 220460? 2 What is the hundred thousands digit of 947158? 9 What is the tens digit of 196513? 1 What is the ten thousands digit of 6761586? 6 What is the tens digit of 2665694? 9 What is the hundreds digit of 120? 1 What is the units digit of 152130? 0 What is the units digit of 136824? 4 What is the millions digit of 7208593? 7 What is the units digit of 11620734? 4 What is the millions digit of 1291255? 1 What is the hundreds digit of 631270? 2 What is the units digit of 3069722? 2 What is the ten thousands digit of 20564? 2 What is the ten thousands digit of 66799? 6 What is the hundreds digit of 4104? 1 What is the ten thousands digit of 670344? 7 What is the ten thousands digit of 186633? 8 What is the hundreds digit of 185891? 8 What is the units digit of 31168354? 4 What is the thousands digit of 1368206? 8 What is the tens digit of 4647604? 0 What is the hundreds digit of 493113? 1 What is the units digit of 564194? 4 What is the units digit of 141808? 8 What is the hundreds digit of 248495? 4 What is the hundred thousands digit of 3163037? 1 What is the thousands digit of 88381? 8 What is the units digit of 586251? 1 What is the tens digit of 235372? 7 What is the millions digit of 1204831? 1 What is the hundreds digit of 2006649? 6 What is the units digit of 4763485? 5 What is the millions digit of 6558802? 6 What is the hundreds digit of 317183? 1 What is the tens digit of 2484236? 3 What is the hundreds digit of 173767? 7 What is the hundred thousands digit of 19305337? 3 What is the tens digit of 9791039? 3 What is the hundred thousands digit of 6597300? 5 What is the hundred thousands digit of 12281881? 2 What is the tens digit of 3474132? 3 What is the tens digit of 3390194? 9 What is the thousands digit of 165904? 5 What is the thousands digit of 322958? 2 What is the units digit of 256618? 8 What is the hundreds digit of 121302? 3 What is the hundreds digit of 7553411? 4 What is
{ "pile_set_name": "DM Mathematics" }
791)/12870 + (-8)/(-10)? -1/26 -121 - -121 - ((-4)/(-32) - -1) -9/8 What is -1 + (26 - (-4188)/(-168))? 1/14 What is 25*(-16)/((-1280)/48)? 15 Calculate ((-21)/(-6) + 4)*(-128)/(-1056). 10/11 Calculate (675/(-12960))/(45/36). -1/24 Calculate -110 + 103 + (696/(-54))/(-2). -5/9 What is (-1)/(-5 - (245/50)/(-1)) + 1? 11 Evaluate 4 - (69966/(-46))/(-39). -35 2926/(-931) + (0 - -4) 6/7 ((-44)/220 - (-9)/(-5))/(-1 - -2) -2 Calculate (168/396 + 4/(-44))*6. 2 What is (-212)/(-1590) + (-48)/(-315)? 2/7 Evaluate (-444)/(-37) - 364/32. 5/8 (-53 - 3465/(-66)) + -1*(-2)/(-4) -1 Evaluate (2/21)/((1380/(-161))/15). -1/6 Evaluate -12 + (-7)/((-140)/400). 8 What is the value of (10/(-12) - 14/(-6))*8/(-9)? -4/3 What is ((-6)/39)/(11/((-572)/56))? 1/7 Calculate (164/(-12) - 3)*(10 - (-616)/(-55)). 20 What is the value of ((-209)/110 - -2)*(-4 - -48)/(-2)? -11/5 What is the value of 35/462*-63 + 11/2? 8/11 What is the value of -5 + (13 - 14) + (-3 - 5)? -14 19/(171/54) - (8/4 + -2) 6 Evaluate (-1)/(-2)*(-900)/360. -5/4 Calculate (-16 - -11)*(-4)/8*18/3. 15 What is 43/(-86)*-8 - (5 - 0)/1? -1 What is 6 + 0*12/(-276)? 6 What is (1 - 84/86)/(-65*78/(-3380))? 2/129 What is 693/44 + -15 - (-375)/(-540)? 1/18 Evaluate 1010/6565 - 4/91*-3. 2/7 What is the value of (45/60)/((-78)/(-208))? 2 (-301)/105 - 112/(-35) 1/3 What is the value of (-17)/(918/144)*3? -8 17 + ((-153)/(-102))/((-105)/1194) -2/35 Evaluate (-7 - 190/(-26))/((-36)/54). -6/13 (24/16)/((-3762)/(-420) + -9) + 1 -34 Calculate ((-29)/203)/(35/49). -1/5 (-69)/(-115) - (-19)/(-15) -2/3 (-176)/33*(-3)/120 - (-14)/120 1/4 (2 - (-45)/(-12))*(-1 + 42/(-98)) 5/2 Calculate 48/(-15 - 9) - (28/15)/(-1). -2/15 Evaluate 771 + -772 + 57/(-3). -20 (-1 - -5) + 3978/(-1071) 2/7 What is the value of ((-10)/480 - 0)/(3/9)? -1/16 Evaluate (-53)/(-106) - (-4)/(-56)*1. 3/7 Calculate -113*(12/6)/(-210) + (-152)/133. -1/15 Calculate (-1 + -12 + 9)*(18 + -13). -20 Evaluate (-59800)/(-4225) - (1 - -13). 2/13 What is 88/(-2618)*28/(-8)? 2/17 Evaluate (-99)/(-18)*78/33 - 4/4. 12 What is the value of ((-2570)/(-1680) - 60/96) + 2/(-6)? 4/7 What is the value of 7 + 18*(-12)/36? 1 Evaluate (-84)/40 + (320/50)/4. -1/2 What is (18/(-8))/(6 + (-106)/16 - -10)? -6/25 Evaluate ((-488)/(-610))/((-16)/45). -9/4 What is (18 - (21 + -9)) + 0 + -3? 3 (-3562)/548 + (14/(-4))/(-1) -3 (-916)/(-1374)*(2 - 22/14) 2/7 Calculate (5 + -2 + -8)*((-324)/(-60) - 6). 3 Evaluate 6/8 - (-387)/(-1032). 3/8 Calculate ((-6831)/3105)/((1/3)/((-10)/6)). 11 What is the value of 201/(-29) - 1730/25085? -7 ((18/4)/(468/104))/((-2)/26) -13 Evaluate (-26)/(-182) + (-3)/((-567)/(-13)). 2/27 Evaluate 29 - (29 + 45/40). -9/8 What is (1*2)/((-374)/68 - -3)? -4/5 What is the value of (-24)/324 + 11*2/54? 1/3 What is 32/(-56) - 368/(-1771)? -4/11 What is 330/990*(0/(-3) + 21)? 7 What is the value of (11/((-594)/(-504)))/((2/(-3))/1)? -14 Evaluate 6/198*(620/(-105) - (-14)/(-147)). -2/11 (63/(-252))/((-3)/120) + -31 -21 Calculate ((-272)/51 - (-6 - 0))/((-4)/138). -23 What is 3776/(-236) + 54*(-3)/(-6)? 11 Calculate ((-78)/50)/((-474)/1580)*5/(-2). -13 What is 1/((-51)/513*-5 + 68/(-153))? 19 What is (-19 + 28)*(-3)/(-63)? 3/7 Calculate ((-84)/(-2310))/(4/1020) - 18/2. 3/11 What is the value of (-60 - -52) + 46/12 + 2/12? -4 (36/(-14))/(286/28 - 10) -12 Calculate (-133)/10*(-1550)/(-2170). -19/2 (2/(-2))/((-348)/27 - -5 - -8) -9 Calculate 10 - 16/((-480)/(-45))*2/(-3). 11 Evaluate (12/(-21))/((-56308)/1372 + 41). 14 (648/(-4590))/((-26)/(-65)) -6/17 Calculate (4/(-3))/((-2)/210*5). 28 Evaluate ((-3)/1)/(198/8)*-3. 4/11 Evaluate 1920/(-33280)*(1 - -3). -3/13 What is 48/(-10)*(2 + -16 - 3692/(-213))? -16 Evaluate -1*1 + (-8)/48 + (-74)/(-12). 5 What is (11/6 + -2)*((-2236)/(-52) - 46)? 1/2 What is 6 + ((-33)/(-3) - (14 - (-465)/(-15)))? 34 What is (28/(-42)*5)/(10/12) - -8? 4 What is (3/(-70))/(228/(-532))? 1/10 What is (-1 - 0)/((-152)/1064)? 7 Calculate 2047/9085 - 54/2133. 1/5 (-37)/((-592)/(-224)) + 19 - 284/52 -6/13 Evaluate 30 + 6 + -4*(-221)/(-68). 23 What is the value of (9/(-27))/((-78)/52)? 2/9 What is the value of 1200/(-2000) + (-2)/30? -2/3 What is the value of (14/11*2)/(-4 + (-368)/(-88))? 14 What is the value of ((-145)/14)/(-29)*14? 5 (-5 + (-244)/(-48))*(-3 + 4 + 2) 1/4 What is the value of -10 + (35/(-30))/(6/(-36))? -3 Calculate (273/6 - 38)/((-3)/(-12) - 1). -10 What is the value of 21 + 1 + (56 - 68)? 10 Evaluate (-35)/(-4) + -5 + (-10 - -5). -5/4 Evaluate 20*437/2660*-7. -23 (207/184)/(4/((-80)/(-90))) 1/4 -11 + -2 + 7 - 1/(-2)*6 -3 Calculate (184/920)/(4/(-5)). -1/4 -48 + 17 + 17/153*-9 -32 Calculate ((-198)/(-81))/(10/45). 11 46/2 - (156/130 + 168/(-15)) 33 Calculate (-63)/(-3)*42/147. 6 Calculate 4 + ((-2)/13 - (-25)/((-19500)/4040)). -4/3 What is (15 + -14)*(3 + -2)? 1 (-17 + -3 - -17) + -8 -11 Calculate 6/(-18)*6/(-150)*-25. -1/3 6/(-72)*-15 - 510/216 -10/9 Calculate (4582/145 - 40) + (-4)/(-10). -8 What is the value of (-183)/(-255) + (2 - (-247)/(-95))? 2/17 What is the value of ((322/8855)/((-1)/10))/(2/(-22))? 4 (1 + (-32 - -35))/(1*5) 4/5 What is the value of 4/10*(206 - 251)? -18 What is -2*11*8/(-16)? 11 What is the value of 2/13 - (-10 + 4066/403)? 2/31 What is the value of (3 - 1180/395)*2? 2/79 What is ((-120)/700)/(((-114)/40)/(-19))? -8/7 (2552/(-5742))/(17/30 + (-4)/10) -8/3 What is the value of 18/2 + -71 + 55? -7 Calculate (2/(-8))/((-756)/(-72)*2/(-12)). 1/7 Evaluate -14 + -8 + 20 - 7/((-35)/(-40)). -10 What is (-896)/7680 + 2/60? -1/12 What is the value of 23/138*(4 + -3 - 17)? -8/3 What is the value of -4 + 3*(3/(-9) - (-4)/1)? 7 What is (-14)/(-1) + 3 + (5 - 3) + -6? 13 What is the value of 18/4032*-35 - 7/(-28)? 3/32 What is (2*4)/(40/(-225)*639/(-142))? 10 What is the value of (-5)/((-75)/(-33)) + (132/(-60))/(-11)? -2 What is ((-18)/(-16) - 1)/(((-2419)/(-1230))/(-59))? -15/4 What is 2/8*-18*18/(-81)? 1 (-96 + 95)*0/4 0 Calculate (-510)/135 + 4 + 194/18. 11 8/100 + 36/1350*-453 -12 6*((-759)/22)/23 - 18/2 -18 What is ((-594)/5643)/(1/323)? -34 (-3)/(-15) + (-12)/35 -1/7 Calculate (-305 + 300)/(1/6 + -1). 6 Evaluate (-15)/(-5) - (3/(-2) - -3). 3/2 Calculate 5 + -31 - 10270/(-390). 1/3 What is the value of ((-110)/5 - -20)*5*1? -10 What is the value of 4 - 1880/(-236) - 9*12/9? -2/59 Evaluate 1377/(-1836)*((-4)/7)/(90/(-168)). -4/5 What is the value of ((-15)/20)/(459/136)? -2/9 What is (7 - 200/24)*27/153? -4/17 Evaluate 9 + -8 + (-196)/42. -11/3 What is ((-16)/(-8)*4/16)/((-17)/(-4))? 2/17 -6 + -6 + -10 - -9 -13 What is the value of ((-15)/(-39))/((-10)/12)? -6/13 Evaluate (-3)/(-4) + (2700/48)/(-25). -3/2 Calculate 666/42 - (-2094)/(-2443). 15 What is 2/12*(91 + (-8028)/90)? 3/10 What is (60/(-105))/(28/392*2*-1)? 4 Calculate 13/1 - (12285/(-25))/(-39). 2/5 Calculate ((-100)/(-5))/((-80)/(-64)). 16 (2/34)/((-172)/8 + 21) -2/17 What is 1*(256/(-320) + 164/(-20))? -9 Calculate -2 - ((-20)/(-70))/((-6)/378). 16 (-21 - (-9063)/265) + -2 + 27/15 13 What is the value of -38*(7 + (-208)/32) - -23? 4 (((-2184)/144)/(-91))/((-7)/(-6)) 1/7 Evaluate 6/(((-248)/32 - -3) + 4). -8 What is the value of (6/(-28))/(((-9)/14)/((-195)/260))? -1/4 Calculate (-6 + -1)*(213/923 + 556/182). -23 What is the value of 0 + (-1 - 13) + 1 + 2 + 4? -7 3/60 - 22101/(-3180) 7 What is the value of (105/(-70))/(6/(-14))*(-12)/(-21)? 2 20/14*(-12)/(-192)*-16 -10/7 Calculate ((-8437)/(-273) - 32/2) + -15. -2/21 ((-8)/(-2))/(201/(-21) + 9 + 0) -7 What is (-7)/(-5) + (-3026)/(-68) + -46? -1/10 Evaluate (47/(-351 + 22))/(4/14*-2). 1/4 (-3060)/(-1615) - (-3)/(6/(-4)) -2/19 Calculate ((-74)/(-24) - 132/48)/((-3)/1). -1/9 What is (-47 + 63)/(-16) - (-13)/10? 3/10 Calculate 44*1258/(-3672) - 2/(-27). -15 Evaluate (-17)/(-9350)*154*2/(-21). -2/75 4/(-10)*80/120 -4/15 Calculate ((-24)/18)/((-76)/399). 7 Evaluate (5 - -2)*318/(-28938). -1/13 Evaluate 20/42*(45/14)/(-15)*7. -5/7 Calculate (-410)/1722 - 4/(-7). 1/3 Calculate 26/8*(234/1755 - (-124)/(-30)). -13 ((22 - 38) + 15)*-11 11 What is the value of -4 + 15 - (-255 - -255)? 11 What is 108/24*(-3)/12*16/60? -3/10 -4 - ((-138)/33 - 3 - (-3)/1) 2/11 Calculate 2 + 1 + 98/(-2 - 12). -4 What is the value of ((-64)/48)/(1/(-5)*-4)? -5/3 What is the value of (-1368)/96 - -13 - (-28)/20? 3/20 What is the value of 2/(-32) +
{ "pile_set_name": "DM Mathematics" }
j**3 - 4*j + 510. What is the third derivative of f(c) wrt c? 3072*c Let i be 8/1*15/30. Find the first derivative of -3*d**2 + i*d**2 - 7*d**4 - d**2 + 5 wrt d. -28*d**3 Let w = -368 + 373. Let g(l) be the first derivative of 0*l**4 + w + 0*l - 3/2*l**2 - l**6 + 0*l**5 + 0*l**3. Find the second derivative of g(f) wrt f. -120*f**3 Let x(q) = -101*q**4 + 12*q**2 - 142*q. Let m(a) = -101*a**4 + 10*a**2 - 141*a. Let h(z) = -6*m(z) + 5*x(z). What is the second derivative of h(p) wrt p? 1212*p**2 Let h(g) = g + 4. Let x be h(-3). Let o be (13 - 17) + x*6. What is the second derivative of 4*z**2 + 4*z**2 - 8*z**5 - 8*z**o + 3*z wrt z? -160*z**3 Let s(u) = 798*u**3 - 818*u**2 - 15*u - 5. Let a(c) = -399*c**3 + 409*c**2 + 9*c + 3. Let j(b) = 5*a(b) + 3*s(b). Find the third derivative of j(k) wrt k. 2394 Let s(b) be the first derivative of -b**6/30 + 2*b**4/3 - 8*b**3 - 8. Let z(k) be the third derivative of s(k). What is the derivative of z(o) wrt o? -24*o Let h(a) = -129*a + 53. Let t(x) = 900*x - 372. Let m(z) = -15*h(z) - 2*t(z). Find the first derivative of m(f) wrt f. 135 Let h = 1391 - 1391. Let z(i) be the first derivative of 3*i**3 - 7/4*i**4 + h*i**2 + 3 + 0*i. Find the third derivative of z(j) wrt j. -42 Suppose 5*b + s = 3, 0 = -3*b + 3*s - 9. Let y(t) be the first derivative of -5/2*t**2 - 6 + b*t**3 + 0*t - 9/4*t**4. Find the second derivative of y(j) wrt j. -54*j Let r(k) = 321*k**3 - 4*k**2 + 11*k + 3. Let c(n) = -642*n**3 + 7*n**2 - 23*n - 5. Let w(p) = 3*c(p) + 5*r(p). What is the third derivative of w(i) wrt i? -1926 Differentiate 2*v - 2*v - 424*v**2 + 32 - 8*v**2 + 69 with respect to v. -864*v Let m(y) be the second derivative of -13*y**8/14 + y**4/6 - 47*y**2 - 154*y. Find the third derivative of m(q) wrt q. -6240*q**3 Let l(g) be the third derivative of 1/48*g**8 + 0*g + 0*g**6 + 0*g**7 + 0*g**5 + 0*g**3 + 0 + 40*g**2 + 19/24*g**4. Find the second derivative of l(i) wrt i. 140*i**3 Let n be 11 + (9 - 15 - 2). Let j(x) be the third derivative of 1/30*x**5 + 0*x + 0 + 10*x**2 + 0*x**n - 5/12*x**4. What is the second derivative of j(t) wrt t? 4 Let x(o) be the first derivative of -149*o**2/2 - 111*o + 139. Find the first derivative of x(n) wrt n. -149 Let f be ((-56)/6)/(18/(-27)). Find the second derivative of 0*y**4 - 2*y**4 + f*y - 7*y**4 wrt y. -108*y**2 Let g(f) be the second derivative of f**6/15 + f**5/10 - 2*f**4 - 52*f. What is the third derivative of g(c) wrt c? 48*c + 12 Let b(l) = l + 4. Let d(w) = 67*w**2 + 88*w - 16. Let g(z) = 4*b(z) + d(z). Find the second derivative of g(n) wrt n. 134 Suppose 0 = -7*j + 2*j + 5*x + 30, 4*x = -3*j - 3. Let l(z) = 5*z - 2. Let o be l(1). What is the second derivative of -h - h - h - 4*h**o - 2*h**j wrt h? -36*h Suppose -3*y - 5*p = 17, 7*y = 2*y - 4*p - 37. Let r be y/(-6)*(-3 + 7). Find the first derivative of 2*w**3 + 4*w**2 - 6*w**3 - 4*w**2 - r wrt w. -12*w**2 Let k(w) = 16*w - 1. Let t be k(1). Suppose -3*v + t = 4*o, 4*v - 20 = -0*o - 5*o. What is the third derivative of -2*y**2 - 2*y**5 - 3*y**v + 6*y**5 wrt y? 60*y**2 Let o be 0/(7/(-14)*2). Let u(h) be the second derivative of o*h**2 + 1/3*h**4 - 5*h + 0 - 5/6*h**3. Find the second derivative of u(a) wrt a. 8 Differentiate -5 - 5 - 20*i + 15*i + 5 with respect to i. -5 Let h(m) be the second derivative of m**7/21 - 51*m**5/10 + 109*m**3/6 + 191*m + 2. Find the second derivative of h(o) wrt o. 40*o**3 - 612*o Let g(m) = -495*m**2 + 4*m - 706. Let x(r) = 1484*r**2 - 11*r + 2119. Let j(w) = 11*g(w) + 4*x(w). What is the derivative of j(h) wrt h? 982*h Let x(b) be the second derivative of -43*b**5/120 + 13*b**4/6 + 5*b**3/6 - 57*b. Let p(t) be the second derivative of x(t). Differentiate p(a) wrt a. -43 Let a(b) = 279*b**3 + 5*b**2 + 345. Let r(f) = -93*f**3 - 2*f**2 - 115. Let q(p) = 3*a(p) + 8*r(p). Find the first derivative of q(n) wrt n. 279*n**2 - 2*n Let l(p) = -p**4 + p. Let c(b) = 11*b**4 + 11*b**3 - 6*b + 9. Let d(r) = -c(r) - 6*l(r). What is the derivative of d(t) wrt t? -20*t**3 - 33*t**2 Suppose -29 + 25 = 4*u. Let b(d) = -14*d**4 + 3*d**2 - 3*d. Let y(z) = -z**4 + z**2. Let r(s) = u*b(s) + 3*y(s). Find the second derivative of r(a) wrt a. 132*a**2 What is the second derivative of -2*u**2 + u**2 + 5*u**2 - 4*u**2 - 250*u**4 - 27*u wrt u? -3000*u**2 Suppose -16*h + 20*h = 16. Find the third derivative of 9*x**2 - 4 + h - 5*x**5 - 6*x**5 wrt x. -660*x**2 Let n(p) = -14 - 15*p**2 - 3 - 7 + 0. Let v(s) = 46*s**2 + 73. Let k(a) = -7*n(a) - 2*v(a). Differentiate k(w) with respect to w. 26*w Let r be 4/(-22) - (-7282)/121. What is the first derivative of -39 + 11*a**2 + 126 - r wrt a? 22*a Let x(j) = -64*j**5 - 7*j**4 - 295*j**2 - 7. Let o(k) = 21*k**5 + 2*k**4 + 98*k**2 + 2. Let y(r) = -7*o(r) - 2*x(r). What is the third derivative of y(l) wrt l? -1140*l**2 Find the second derivative of 37*i - 168*i**2 - 127*i + 7*i - 201*i wrt i. -336 Let y(h) be the second derivative of 93*h**7/7 - h**3/3 + 209*h**2 + 106*h + 3. Find the second derivative of y(z) wrt z. 11160*z**3 Let l(h) = h**2 + 2*h - 2. Let q(g) = -2. Let y(z) = -l(z) - q(z). Differentiate y(s) wrt s. -2*s - 2 Let m = 166 - 161. Find the second derivative of -15*z + 6*z**m + 33*z**2 - 35*z**2 - 9*z wrt z. 120*z**3 - 4 Let b(w) = 134*w**3 + 214*w**2 + 7*w - 7. Let n(t) = 133*t**3 + 215*t**2 + 6*t - 6. Let x(p) = -6*b(p) + 7*n(p). What is the third derivative of x(f) wrt f? 762 Suppose -10*y + y + 270 = 0. Differentiate -7*o - 6 - y + 10 + 9 with respect to o. -7 Let k(q) = 3*q**2 - q. Let d(n) = n**2 + 8*n + 14. Let a be d(-5). Let i be k(a). Find the first derivative of -6*x**i - 7*x**3 + 7*x**3 - 6 + 0*x**3 wrt x. -24*x**3 Suppose -d = 2*a - 4, -3*a + 6 + 0 = 5*d. Find the third derivative of m**2 + 10*m**5 - 6*m**5 - 5*m**a + 17*m**2 wrt m. 240*m**2 Let u(i) = -205*i**2 - 85*i + 37. Let c(o) = -68*o**2 - 28*o + 13. Let h(t) = 17*c(t) - 6*u(t). What is the second derivative of h(w) wrt w? 148 Let c(w) be the third derivative of 0*w - 17*w**2 + 1/120*w**6 + 0 + 0*w**5 + 0*w**4 - 13/6*w**3. What is the derivative of c(x) wrt x? 3*x**2 Suppose 3*o = o - 5*r, o - 26 = 4*r. Find the third derivative of -3*k**3 + o*k**2 - 30*k**3 + 7*k**3 wrt k. -156 Let j be -1*9/(-12)*-2*-2. Differentiate 22 + 345*s**3 - 2*s**4 - 345*s**j with respect to s. -8*s**3 Let d(g) be the first derivative of -407*g**2/2 + 597*g + 708. What is the first derivative of d(s) wrt s? -407 Let i(v) = 654*v**2 + 10*v + 433. Let a(t) = 1958*t**2 + 32*t + 1298. Let p(z) = 5*a(z) - 16*i(z). Find the first derivative of p(u) wrt u. -1348*u Suppose 2*j - 2 = -12. Let d = -1 - j. Differentiate 1 - 4*g**4 + 6 + 6*g**4 + 5*g**d with respect to g. 28*g**3 What is the third derivative of -29*p**2 - 45 + 650*p**4 - 5*p**3 + 21*p**2 + 5*p**3 wrt p? 15600*p Let w(b) be the first derivative of -127*b**2/2 + 102*b - 280. Differentiate w(s) with respect to s. -127 Let f(m) be the first derivative of 49*m**4/2 - 17*m**2 - 28. Find the second derivative of f(x) wrt x. 588*x Let i be (5 - 5)/((-3)/(-3)). Suppose -5*u + 10 = -i*u. Find the third derivative of 1 + 7*j**2 - 2*j**4 - 4*j**u - 1 wrt j. -48*j Let x(q) be the third derivative of 7*q**6/60 - q**5/60 - 47*q**4/4 + 154*q**2 + q. What is the second derivative of x(d) wrt d? 84*d - 2 Find the second derivative of 1 + 8 + 0 + 27*g**3 + 4*g - 2 + 9*g wrt g. 162*g Let c(n) = -n + 25. Let h be c(13). Let z be (h/8)/((-6)/(-16)). Differentiate -9 + 31 - z - 13*g - 11 wrt g. -13 Let a(d) be the first derivative of 1 + 3/2*d**4 + 0*d + 0*d**2 + 10/3*d**3. Find the third derivative of a(p) wrt p. 36 What is the third derivative of 6*h**6 - 21*h**6 + 124 - 255*h**2 - 122 + 16*h**3 wrt h? -1800*h**3 + 96 Let h(o) be the second derivative of 9*o + 0*o**5 + 0*o**2 + 0 - 2/15*o**6 + o**3 + 0*o**4. Find the second derivative of h(n) wrt n. -48*n**2 Let d(p) = -p**2 + 10*p - 8. Let x be d(6). Suppose 6*a - 2*a = x. What is the second derivative of 64*j**3 - 64*j**3 - j**a - 6*j wrt j? -12*j**2 Suppose -60 = t + 3*t. Let m = 15 + t. What is the derivative of -5*a**4 + m + 2 - a**4 wrt a? -24*a**3 Let t(h) be the third derivative of -19*h**8/112 - 23*h**4/6 - 53*h**2 + 2*h. What is the second derivative of t(f) wrt f? -1140*f**3 Let c be 144/14 - (-8)/(-28). Let o = -6 + c. Wha
{ "pile_set_name": "DM Mathematics" }
*(-4*u + 0*u + 2*u) + 3 + 5*u - 3)*(4 - 1 - 1)*(-19*u - 23*u + 14*u) to n*u**2 + x + y*u and give n. -168 Express -132592*f**2 + 66200*f**2 + 66020*f**2 + 9*f**3 as a*f + k*f**2 + d*f**3 + c and give d. 9 Rearrange (-6448 - 7226 - 8248)*(-6*k**2 + 3*k**2 + k**2) + (k**2 - 6*k**2 + 2*k**2)*(4 - 5 - 1) to the form c + v*k**2 + w*k and give v. 43850 Express -14279 - 14112*u**2 + 14279 in the form w + x*u**2 + n*u and give x. -14112 Rearrange (-3 + 6 - 4)*(6*w + 0*w - 4*w) + (2 - 4 + 1)*(1 + 7801*w + 1 - 7607*w) to q + d*w and give q. -2 Express -5 - 9489*r + 9485*r + 7 + 663*r**2 as u*r**2 + m + l*r and give u. 663 Express 66*k + 47*k - 351*k**2 + 366*k**2 + 2 - 27*k in the form x*k**2 + f + w*k and give f. 2 Express -599383 + 599383 - 6180*t as q + h*t and give h. -6180 Rearrange -2165*b - 377 + 377 + 1088*b - 1621*b to the form l*b + q and give l. -2698 Express -78 - 4341*s**2 - s + 2173*s**2 + 2160*s**2 as d*s**2 + n*s + l and give d. -8 Rearrange (3461*c + 1663*c + 7006*c)*(3*c - 2*c - c - 2*c - c**2 + 1) to i*c + q + v*c**3 + g*c**2 and give g. -24260 Rearrange 3603*j**2 - 1566*j**2 + 4762*j**2 - 2906*j**2 + 5661*j**2 to the form h*j**2 + b + s*j and give s. 0 Rearrange 2*y**3 + 7*y**2 + 0*y**2 + 8*y + 12 - 2*y - 4*y**2 - 10 + 4*y**4 to l + h*y**2 + a*y**3 + u*y**4 + z*y and give a. 2 Rearrange (0*g + 3*g + 9*g)*(-81 - 39 + 18) + g + g + g to the form a + w*g and give w. -1221 Express (-2*c + 3*c + c)*(3 - 3 + 3*c) - 193*c + 224*c - 5*c**2 + 2*c**2 + (-2*c + 5*c - 4*c)*(-3 + 3 + 2*c) as b*c**2 + z + j*c and give j. 31 Express -5*d**4 - 7*d**3 + 5*d**3 - 29*d**2 - 8*d**4 - 15*d**4 + 23*d**2 in the form z*d + y*d**3 + w + b*d**2 + j*d**4 and give y. -2 Rearrange -4512*u**2 + 2*u**3 + 85 - 4*u**3 + 9048*u**2 - 4515*u**2 - u to the form f*u**3 + g*u + k*u**2 + r and give g. -1 Rearrange (3 + 4*y - 3)*(2 - 2 - y)*((-1 + 2 - 2)*(-1 - 2 + 1) - 17 - 40 - 1 + 2 - 3 - 3 + 3 + 33 - 11) to s + g*y + f*y**2 and give f. 140 Express 41 + 89*s + s**4 + 93*s + 8*s**3 - 279*s + 94*s as l*s**4 + f*s**2 + r*s + z*s**3 + c and give c. 41 Rearrange 22 + 22*i + 26 + i**2 - 58*i + 2 - 14*i to the form q*i + g + d*i**2 and give d. 1 Rearrange (5*t**2 - 3*t**2 - 3*t**2)*(-2*t - 2*t + t) - 1246*t**3 + 3276*t**3 + 920*t**3 to d*t**3 + h*t + l + z*t**2 and give d. 2953 Express 411*f**3 - 207*f**3 + 3011 - 202*f**3 as n*f**3 + t*f + q + a*f**2 and give q. 3011 Express (7*i - 7*i - 8*i)*(i - 1 + 1 + 1)*(5*i - i - i)*(0 + 0 + 2) - 24867*i**2 + 24867*i**2 - 244*i**3 as g + m*i**2 + x*i + a*i**3 and give x. 0 Rearrange 7594*k - 3*k**3 - 7594*k + 658 + k**3 + 603*k**2 - 655 to the form r*k**2 + t*k + b*k**3 + f and give b. -2 Express (-c**2 + 2 - 2)*(-2040*c + 1404*c + 1754*c + 2495*c + 4393*c + 4685*c) in the form u*c + q*c**3 + f + y*c**2 and give q. -12691 Rearrange -3 + 2 + 539*r**2 - 2*r**3 - 101*r + 101*r + 347*r**2 to the form k*r**2 + t*r**3 + j + v*r and give k. 886 Express (3 + 12*c + 4 - 11*c)*(-3 + 1 + 1 + (0 + 0 - 5)*(14 + 16 + 9)) in the form r*c + o and give o. -1372 Rearrange 7*k**2 - 135 - 3*k + 13*k**2 + 0*k - 23*k**2 to i*k**2 + o + y*k and give i. -3 Rearrange 55*m**3 - 108*m**3 - 13*m**2 + 0 - 2*m**4 + 53*m**3 + 8 to the form z*m + t*m**4 + v*m**3 + p*m**2 + c and give t. -2 Rearrange (117*u - 117*u - 14*u**2)*(-7*u + 60*u - 3240 + 3238) to v*u**3 + o*u + b*u**2 + p and give p. 0 Express -192*x**4 - 8*x**2 + 193*x**4 + 2*x**2 + (-5*x**4 + 4*x**4 + 3*x**4)*(-6 + 7 + 3) in the form c + f*x**3 + r*x + a*x**2 + z*x**4 and give a. -6 Express (182 - 78 - 38)*(-5 + 3 - 1)*(-6*g - 5*g - 2*g) in the form y + t*g and give t. 2574 Rearrange y - 2*y**2 - y + (35*y + 57*y - 32*y + (4 - 4 + 1)*(y + 3 - 3))*(-5 - 7*y + 4*y + 6) to x + r*y**2 + o*y and give r. -185 Express (4029*x - 2 + x**2 + 4027*x - 8079*x)*(-7*x + 9*x - 3*x) as s*x**3 + d*x**2 + j*x + b and give j. 2 Rearrange 6 + 1081*t - 553*t - 526*t to the form i*t + a and give a. 6 Rearrange -62741*z + 39131*z + 1405*z - 94774*z + 0*z - z - z + (0 + 1 + 0)*(-2*z + 3*z - 2*z) to y + n*z and give n. -116982 Rearrange -v**3 - 295*v**2 + 884*v**2 - 194*v - 291*v**2 - 294*v**2 to the form x*v + c*v**3 + l + h*v**2 and give x. -194 Express 8*r + 4*r + 1951 + r**2 - 3841 + 1984 as z*r + x + u*r**2 and give z. 12 Express (-78*x**3 - 131*x**3 - 128*x**3)*(3*x - 14*x - x) + (x**4 + x**4 + 0*x**4)*(-1 + 6 - 4) as r*x + p*x**3 + s + f*x**4 + z*x**2 and give f. 4046 Rearrange -20 + g**4 + 0*g + 21 + 4*g - 10857 + 168*g**4 + 10857 + (2*g**4 - g**4 - 3*g**4)*(-2 - 2 + 6) to i*g**3 + r + m*g + o*g**4 + l*g**2 and give o. 165 Rearrange (-7 + 1 - 14)*(-25*x + 65*x**4 + 4*x**2 + 133*x**4 - 200*x**4) to the form a*x + o + c*x**2 + h*x**3 + y*x**4 and give h. 0 Express -159 - 4*r**3 - 165 - 16*r + 326 - 75*r + r**2 - 6*r**4 as u*r**4 + m*r**3 + d + w*r + l*r**2 and give w. -91 Express (-4*o + o + 2*o)*(-789 + 1998 - 324 + 99 + 1478 + 2076) in the form u*o + n and give u. -4538 Rearrange -14131*m + 2*m**2 + 1 + 253*m**3 + 28270*m - 14139*m to the form a + z*m**3 + d*m**2 + v*m and give z. 253 Express (0*g + 2*g - 3*g)*(4 - 3*g + 8 - 34 + (3 + 2 - 3)*(12*g + 16*g - 20*g)) as k + u*g + h*g**2 and give h. -13 Express (-2 - 2 + 1)*(-3*f + 55*f + 32*f)*(6 + 31 - 8)*(f**3 + 3*f**3 - 3*f**3) as p*f**3 + s*f**2 + i*f + b*f**4 + z and give b. -7308 Express u - 2*u**2 - u + (9 + u - 9)*(-13*u + 42*u - 11*u) - u**2 + 5*u**2 - u**2 in the form q + y*u**2 + x*u and give y. 19 Express (1808*m + 924624 - 924624)*(m**2 + m + m**2 - 3*m**2) in the form z*m + y*m**2 + q*m**3 + f and give q. -1808 Express -5*f**3 - f + 11*f**3 + 10*f**3 + 96*f**2 + 3 - 2*f**3 - 95*f**2 as d*f + u*f**2 + c + v*f**3 and give u. 1 Express 39 + t + 0*t + 5*t - 6*t - t**3 + t as j*t + m*t**3 + n + b*t**2 and give m. -1 Express -3*m + 3*m + 490*m**2 - 449*m**2 + 15 as u*m + x + k*m**2 and give k. 41 Rearrange -13*a**3 - a + 16*a**2 + 25*a**2 - 57*a**2 - 642 + 15*a**2 + 12*a**3 to y*a + w*a**3 + b + m*a**2 and give b. -642 Express -710675*i**2 + 710791*i**2 - 1 + 3*i - 5 + 2*i**3 as a + p*i + t*i**2 + n*i**3 and give p. 3 Express p - 43*p**3 + 26*p**3 + 19*p**3 + 5 - 721*p**2 + p**3 as t*p**3 + l*p + o*p**2 + q and give t. 3 Rearrange -856*o + 1019*o + 1877*o + 513*o to the form l*o + w and give l. 2553 Rearrange 131*d**2 - 245*d**2 - 397*d**2 + (-3 + 8*d + 0 - 4*d)*(-4*d + d + d) to the form i*d + u + p*d**2 and give i. 6 Express -166*n - 199*n - 47*n**2 - 32 + 364*n in the form f*n**2 + h*n + u and give f. -47 Express -927 + 5116 + 219 + a in the form s*a + d and give s. 1 Express -63*a - 7698*a**2 + 7699*a**2 - 1538*a in the form n + t*a**2 + v*a and give t. 1 Rearrange (-2 + 3 + 1)*(0*b**2 - 3*b**2 - 2*b**2)*(88 + 86 - 211) to s*b**2 + o + l*b and give s. 370 Express 217*o + 140*o - 204*o as r + a*o and give a. 153 Express 718 + 741 - 5412*u**2 + 720 - 2181 as l*u + h + z*u**2 and give z. -5412 Express 43*r**2 - 80*r**2 - 204*r**3 - 167*r**3 + 44*r**3 + 42*r**2 in the form u*r**3 + f + v*r**2 + b*r and give u. -327 Express -671*h - 353*h + 1 - 303*h + 214*h in the form n*h + v and give v. 1 Rearrange 397*s - 360*s - 1580*s - 4478*s to the form u + b*s and give b. -6021 Express -1 + 1676*u + 2919*u + 3600*u in the form y*u + n and give n. -1 Express 6*o**3 - 1144 + 10*o**3 - 105*o**3 - 57*o**3 + 1149 in the form q*o**3 + z + c*o**2 + w*o and give z. 5 Express -57 + 6*b - 9962*b**2 + 9962*b**2 + b**4 as d + t*b**3 + j*b + f*b**2 + n*b**4 and give n. 1 Rearrange (2887 + 10186 - t**2 + 4779 - 1250)*(t + 1 - 1) to x*t**2 + j + o*t + r*t**3 and give r. -1 Express -83 + 17 + 48 + 2*a + 0*a + 25 - 199*a**4 in the form l + q*a**2 + m*a + v*a**3 + c*a**4 and give c. -199 Rearrange -156617*y + 156621*y + 0*y**2 - 2*y**2 - 159 + 4*y**2 to g*y**2 + f*y + x and give f. 4 Rearrange -12*h**2 + 106*h**3 + 11*h**2 - 52*h**3 - 35 + 3*h - 49*h**3 to p*h + k*h**3 + f*h**2 + d and give p. 3 Express -m**2 - 3*m**4 - 125*m - 2 - 8*m**4 + 51*m + 103*m + 0*m**4 in the form z*m**3 + u*m**4 + q*m**2 + w + t*m and give t. 29 Rearrange (5*v + 0 + 0)*(2034 - 3935 + 2034 + 4*v**3) - 3*v**4 + 2*v**4 - 3*v**4 to the form t*v**2 + h + p*v**3 + l*v**4 + n*v and give n. 665 Rearrange -509*d**2 - 375611*d + 3 + 375611*d to the form q*d**2 + a*d + c and give c. 3 Rearrange 2*w**2 + 1 - 12329*w + 37*w**3 -
{ "pile_set_name": "DM Mathematics" }
e second derivative of 5*r**7/42 - r**6/6 - 3*r**5/2 + 5*r**4/3 + 20*r**3/3 + 2099*r. Factor v(n). 5*n*(n - 2)**2*(n + 1)*(n + 2) Let n be (5019/294 + -17)/((-20)/(-42)). Let h(l) be the second derivative of -11*l + 6*l**3 + 0 + n*l**5 + 3/2*l**4 + 12*l**2. Let h(w) = 0. What is w? -2 Let i(a) = -7*a**2 - 2*a - 5. Let l(y) = 5*y**2 + 4. Let v(x) = -2*i(x) - 3*l(x). Let n be v(2). Suppose -2*s + 3/2*s**n - 2 = 0. Calculate s. -2/3, 2 Let q(r) = 178*r**2 - 1492*r - 96. Let u(i) = 5*i**2. Let l(h) = -q(h) - 2*u(h). Factor l(p). -4*(p - 8)*(47*p + 3) Let f(w) be the second derivative of 0 - 1/78*w**4 + 4/13*w**3 + w**2 - 23*w. Factor f(s). -2*(s - 13)*(s + 1)/13 Suppose -508*v = -524*v + 80. Let b(j) be the third derivative of 1/140*j**v + 0 + 0*j**3 - 1/56*j**4 + 0*j + 7*j**2. Find w such that b(w) = 0. 0, 1 Solve 839*j + 508*j - 25*j**3 - 147*j**2 - 2*j**3 - 1197 + 24*j**3 = 0. -57, 1, 7 Let o(k) be the third derivative of -55/24*k**4 - 1/4*k**5 + 5*k**3 + 11/24*k**6 + 42*k**2 + 0 - 1/14*k**7 + 0*k. Suppose o(n) = 0. What is n? -1, 2/3, 1, 3 Let s be (75/15 - (-1 + -1)) + -57. Let z be (-120)/75 + (-155)/s. Determine d so that -18 + 15/2*d**2 + z*d**3 - 12*d = 0. -6, -1, 2 Factor -20*h**3 + 10347*h - 14410 - 4551*h + 200*h**2 - 4861*h + 4295. -5*(h + 7)*(2*h - 17)**2 Let r(p) = -14*p**3 + 272*p**2 - 370*p + 106. Let z(d) = -13*d**3 + 270*d**2 - 371*d + 109. Let c(t) = -5*r(t) + 6*z(t). Factor c(i). -4*(i - 31)*(i - 1)*(2*i - 1) Let u = -53 + 55. Factor -b**4 - 7*b**2 - b**3 - 3*b**3 + 4*b**2 - u*b - 2*b**2. -b*(b + 1)**2*(b + 2) Suppose -208*b + 616 - 252 + 260 = 0. Let v(w) be the first derivative of 0*w**b + 0*w**2 + 0*w + 2/45*w**5 + 21 + 0*w**4. Find g, given that v(g) = 0. 0 Let i(x) be the first derivative of x**7/56 - 37*x**6/120 + 37*x**5/20 - 3*x**4 + 2*x**3/3 + x + 56. Let l(a) be the third derivative of i(a). Factor l(m). 3*(m - 4)*(m - 3)*(5*m - 2) Let s = 1626 - 1622. Let w(x) be the second derivative of 0 - 2/5*x**6 - 1/21*x**7 + 4*x**3 - 1/3*x**s + 7*x - 11/10*x**5 + 8*x**2. Solve w(j) = 0 for j. -2, -1, 1 Let x(k) = k**3 + 7*k**2 - 12. Let c be x(-5). Let l(u) be the first derivative of -c*u - u**4 + 12 - 4*u**3 + 0*u**4 - 39*u + 93*u. Factor l(t). -4*(t - 1)*(t + 2)**2 Let x(s) be the second derivative of -34*s - 23/2*s**3 + 0*s**2 + 1/4*s**4 + 0. What is w in x(w) = 0? 0, 23 Let 1023*m**2 - 528*m + 1362*m**2 + 75 - 18*m**3 + 1104*m**2 + 1048*m**2 - 4066*m**2 = 0. What is m? 1/6, 1, 25 Suppose -27 = n - 25. Let q be ((-12)/(-56)*n)/((-4)/4). Factor q*p**2 + 3/7 + 6/7*p. 3*(p + 1)**2/7 What is o in 574243*o**2 - 155 - 1125 - 573803*o**2 + 2000*o - 35*o**3 = 0? -4, 4/7, 16 Let p(g) = -261*g - 1303. Let f be p(-5). Factor 0 - 8/7*c + 6/7*c**f + 2/7*c**3. 2*c*(c - 1)*(c + 4)/7 Let n be 22 - 7 - (-2173)/(-164). Find k, given that n*k - 1 + 11/4*k**2 = 0. -1, 4/11 Find q, given that 22*q + 7*q**3 - 30*q**4 + 5*q + 18*q**3 + 25*q + 8*q + 365*q**2 = 0. -3, -1/6, 0, 4 Let d = 8508 - 51047/6. Let u(o) be the second derivative of 10/3*o**3 - 18*o + 25*o**2 + 0 + d*o**4. Factor u(q). 2*(q + 5)**2 Let r(f) = 2*f**3 + f - 1. Let a(j) = j**5 + 3*j**4 - 9*j**3 + 17*j**2 - 3*j - 3. Let i(p) = -2*a(p) + 6*r(p). Factor i(w). -2*w*(w - 1)**3*(w + 6) Let f(s) = -3*s**2 + 3*s + 4. Let c be f(0). Let b(d) be the first derivative of 4/3*d**2 + 1 - 2/3*d**3 + 8/3*d - 2/3*d**c - 2/15*d**5. Solve b(o) = 0. -2, -1, 1 Suppose -1119*y - 535 = -1226*y. Let r(x) be the second derivative of -2*x + 3/5*x**2 - 1/10*x**4 - 1/15*x**3 - 1 + 1/50*x**y. Let r(h) = 0. Calculate h. -1, 1, 3 Let l(y) = -70*y**2 - 160*y - 85. Let i be (35 - 33)/(0 - 3/9). Let p(f) = -71*f**2 - 161*f - 84. Let r(w) = i*l(w) + 5*p(w). Suppose r(t) = 0. Calculate t. -18/13, -1 Suppose 19 = 3*p - 38. Let u be (-5)/(10/(-3) + 3). Factor 13 - u*r**2 - 14 - 54*r + 6 + p. -3*(r + 4)*(5*r - 2) Let g(f) be the second derivative of 1/240*f**5 + 0 + 10*f**2 - 1/32*f**4 + 14*f + 0*f**3. Let l(h) be the first derivative of g(h). Factor l(a). a*(a - 3)/4 Let k(s) = s**2 + 5*s - 4. Let d be k(-6). Solve 2*i + 10*i**d - i - 6*i**3 - 5*i = 0 for i. 0, 2/3, 1 Let d be 8/(-24)*9 + 8. Let a(o) be the third derivative of 0*o**3 - 1/6*o**d - 13*o**2 + 0 + 0*o - 1/24*o**6 + 1/42*o**7 + 0*o**4. Suppose a(w) = 0. What is w? -1, 0, 2 Determine d, given that -95/2*d**2 + 55/2*d**3 + 35/2*d**4 - 5/2*d**5 - 95*d - 40 = 0. -1, 2, 8 Let n(b) be the third derivative of -b**8/504 + b**7/189 + 23*b**6/540 + 19*b**5/270 + b**4/27 - 8742*b**2. Let n(i) = 0. What is i? -1, -1/3, 0, 4 Factor -25*v**2 + 138*v**3 - 843 + 30*v - 143*v**3 + 843. -5*v*(v - 1)*(v + 6) Let c(s) = -s**2 - 273*s - 16278. Let k be c(-88). Factor 34/5 + 3*g - 1/5*g**k. -(g - 17)*(g + 2)/5 Factor 708*v + 45363*v**2 - 45361*v**2 + 1578*v. 2*v*(v + 1143) Let m = 1613/3 + -1075/2. Let w(f) be the second derivative of 1/24*f**4 - 2*f - m*f**3 - 7 - 2*f**2. Factor w(y). (y - 4)*(y + 2)/2 Let a(n) be the second derivative of 5*n**4/12 + 2275*n**3/3 - 4555*n**2/2 + 6592*n. Solve a(l) = 0. -911, 1 Let n(g) be the second derivative of 63*g + 2/25*g**6 + 0 + 22/5*g**2 + 5*g**3 + 23/25*g**5 + 46/15*g**4 - 1/105*g**7. Suppose n(k) = 0. What is k? -2, -1, 11 Let a be 149/(-7003) + 8/376. Solve 12 + a*g**2 - 6*g + 2/9*g**3 = 0 for g. -6, 3 Let v(i) be the third derivative of -1/20*i**5 - 1/70*i**7 + 1/10*i**6 + 0 - 32*i**2 - 3/4*i**4 + 0*i**3 + 0*i. What is b in v(b) = 0? -1, 0, 2, 3 Let o be (-7 - (-1078)/42 - 15) + -3. Factor 1/3 + o*l + 1/3*l**2. (l + 1)**2/3 Let o(p) be the first derivative of -1/50*p**5 + 1/15*p**4 + 15 + 4/15*p**3 - 8/5*p**2 - 25*p. Let v(g) be the first derivative of o(g). Factor v(j). -2*(j - 2)**2*(j + 2)/5 Let g(q) be the first derivative of -q**4/8 + 35*q**3/3 - 288*q**2 - 1296*q - 4383. Factor g(t). -(t - 36)**2*(t + 2)/2 Let n(l) be the third derivative of l**6/360 + 97*l**5/30 - l**4/72 - 97*l**3/3 + 64*l**2. Let n(c) = 0. Calculate c. -582, -1, 1 Determine g, given that 267/2 - 3/8*g**2 + 66*g = 0. -2, 178 Let b = -324 - -3. Let z = b + 321. Find r, given that 0*r**4 + 0*r**2 - 4/17*r**3 + 2/17*r**5 + z + 2/17*r = 0. -1, 0, 1 Suppose -c - 7 = 2*s, 6*s + 5*c = 2*s - 17. Let p be 2/s*234/(-65). Solve p - 9/5*i - 3/5*i**2 = 0 for i. -4, 1 Let 372/7 - 2/7*d**2 - 118/7*d = 0. Calculate d. -62, 3 Let j be -1*5*((-184)/40 - -4). Factor -2901 + j*f**5 + 20*f**2 + 2885 - 8*f - 8*f**4 - f**5 + 2*f**3. 2*(f - 2)**3*(f + 1)**2 Let y(h) be the second derivative of h**7/21 - 24*h**6/5 - 299*h**5/10 - 63*h**4 - 152*h**3/3 + 154*h + 10. Suppose y(d) = 0. What is d? -2, -1, 0, 76 Let a(p) be the first derivative of -p**4/8 - 25*p**3/3 - 137*p**2/4 + 94*p - 3944. Suppose a(b) = 0. Calculate b. -47, -4, 1 Let x(c) be the third derivative of -11*c**5/20 + 13*c**4/8 - c**3 + 1564*c**2. Factor x(d). -3*(d - 1)*(11*d - 2) Let r be (-370)/(-2088) - 76/(-304). Let q = r - -1/58. Solve 0*o**2 + q*o**3 - 2/3*o**4 + 0 - 10/9*o**5 + 0*o = 0 for o. -1, 0, 2/5 Let c be (9 - 1) + (-4 - 4). Let i = 151 + -149. Factor c - 13/2*z**3 - 10*z**4 + 0*z - z**i. -z**2*(4*z + 1)*(5*z + 2)/2 Let w(i) be the second derivative of -6 + 1/5*i**5 - 2/3*i**3 + 1/3*i**4 + 2*i - 2*i**2. Determine y, given that w(y) = 0. -1, 1 Let s(b) be the third derivative of -b**7/140 - 13*b**6/120 + b**5/3 + 541*b**2 + 2. Factor s(a). -a**2*(a + 10)*(3*a - 4)/2 Suppose 2*s = -o + 5 + 3, 19 = 3*o + s. Factor -o*q**2 + 6*q**5 - 8*q**3 - 2*q**5 + 6*q**4 + 5*q**3 - q**5. 3*q**2*(q - 1)*(q + 1)*(q + 2) Suppose -2*t - 2*i = -8, -i + 13 = 4*t - 0*t. Suppose -636 = -t*r - 174. Determine s so that -125 + 5*s**3 + 3*s**3 + 21*s + r*s - 55*s**2 - 3*s**3 = 0. 1, 5 Let v be 303/(-3030) - 48/(-180). Factor 1152*c - 24*c**2 - 18432 + v*c**3. (c - 48)**3/6 Let j(l) = -l**2 + 220*l - 10654. Let q be j(72). What is a in 1/6*a + 5/3*a**q - 5/3 - 1/6*a**3 = 0? -1, 1, 10 Factor 11591 - 11591 + 10070*y - 5*y**2. -5*y*(y - 2014) Find n such that -471/4*n - 25/4*n**3 - 47/4 - 1185/4*n**2 = 0. -47, -1/5 Let -1/4*q**3 - 19/4*q - 2*q**2 - 3 = 0. What is q? -4, -3, -1 Let a(k) = k**3 - 2*k**2 + 916*k - 913. Let q be a(1). Factor -3/4*z**3 + 3/4*z**4 + 3/4*z - 9/4*z**q + 3/2. 3*(z - 2)*(z - 1)*(z + 1)**2/4 Suppose g + 4 = 2*g. Suppose g*p - 22 = -7*p. Let m**3 - 2*m**3 + 21*m**2 - 23*m**p - m = 0. What is m? -1, 0 Let v(g)
{ "pile_set_name": "DM Mathematics" }
ix dps? 0.000009 What is 0.41106 rounded to three decimal places? 0.411 What is -0.474 rounded to one dp? -0.5 What is 76300 rounded to the nearest one hundred thousand? 100000 Round 877760 to the nearest 100000. 900000 Round -5.75 to the nearest integer. -6 What is -16852 rounded to the nearest 1000? -17000 Round -0.5938 to two decimal places. -0.59 What is -274180 rounded to the nearest 100000? -300000 Round 15180 to the nearest ten thousand. 20000 Round -0.000237 to five dps. -0.00024 What is 0.000001925 rounded to six dps? 0.000002 What is 3281000 rounded to the nearest one hundred thousand? 3300000 What is 0.009171 rounded to four dps? 0.0092 What is -32 rounded to the nearest one hundred? 0 Round -0.010699 to 4 decimal places. -0.0107 What is 8100 rounded to the nearest 100? 8100 What is -7.7193 rounded to one dp? -7.7 What is -3353400 rounded to the nearest one million? -3000000 What is -0.188179 rounded to two decimal places? -0.19 Round 0.000002279 to 7 dps. 0.0000023 What is 35 rounded to the nearest ten? 40 Round -0.000011 to 6 decimal places. -0.000011 What is -0.0060043 rounded to three dps? -0.006 Round 0.542428 to three dps. 0.542 Round 0.033492 to 3 dps. 0.033 Round -1581 to the nearest 100. -1600 What is 0.000009753 rounded to six decimal places? 0.00001 Round 0.9413 to 1 dp. 0.9 Round 0.000232402 to 5 decimal places. 0.00023 What is 19816 rounded to the nearest 100? 19800 What is -18255000 rounded to the nearest 100000? -18300000 What is 1.5443 rounded to 0 decimal places? 2 What is -616300 rounded to the nearest one hundred thousand? -600000 Round -0.000473 to 5 dps. -0.00047 Round -0.003343 to 3 dps. -0.003 Round -352144000 to the nearest 1000000. -352000000 Round 0.000000661 to seven dps. 0.0000007 Round 0.5372 to one decimal place. 0.5 What is -0.003048 rounded to four dps? -0.003 What is -0.03465 rounded to 3 decimal places? -0.035 What is 0.00056107 rounded to four dps? 0.0006 What is -180120 rounded to the nearest one hundred thousand? -200000 What is 0.292 rounded to 2 decimal places? 0.29 Round 706 to the nearest one hundred. 700 Round 0.3202 to 2 dps. 0.32 What is -735.3 rounded to the nearest ten? -740 Round -0.32192 to 3 decimal places. -0.322 What is 0.000031375 rounded to six dps? 0.000031 What is 0.16408 rounded to three dps? 0.164 What is -109510 rounded to the nearest ten thousand? -110000 Round 8150100 to the nearest ten thousand. 8150000 Round -0.000148547 to 5 dps. -0.00015 Round -0.00007721 to 6 dps. -0.000077 What is -3.002 rounded to two decimal places? -3 Round -117400 to the nearest one hundred thousand. -100000 Round 0.00143659 to four decimal places. 0.0014 What is 118330 rounded to the nearest 1000? 118000 Round 149.46 to the nearest ten. 150 What is 23438000 rounded to the nearest one hundred thousand? 23400000 What is -1.2 rounded to the nearest integer? -1 What is 486000 rounded to the nearest one hundred thousand? 500000 Round -0.000006824 to seven decimal places. -0.0000068 What is -379650 rounded to the nearest 10000? -380000 Round 0.01572 to 3 decimal places. 0.016 Round -103464 to the nearest 1000. -103000 Round -5860000 to the nearest one million. -6000000 What is 0.012021 rounded to three dps? 0.012 Round 0.51311 to 1 decimal place. 0.5 What is 11716 rounded to the nearest 1000? 12000 Round -4.13 to zero dps. -4 What is -0.06049 rounded to two decimal places? -0.06 Round -3640 to the nearest 100. -3600 Round -0.0000071 to five dps. -0.00001 What is -0.1635 rounded to 2 decimal places? -0.16 What is -1.72765 rounded to 1 dp? -1.7 Round -4021900 to the nearest 100000. -4000000 What is 0.0021419 rounded to four dps? 0.0021 Round -390940 to the nearest 1000. -391000 Round -0.00000585171 to six dps. -0.000006 What is 0.0038334 rounded to five dps? 0.00383 Round -2.92 to zero dps. -3 Round 0.00007314 to five dps. 0.00007 What is -0.000989 rounded to 3 decimal places? -0.001 What is -0.00076036 rounded to four decimal places? -0.0008 What is 0.0012205 rounded to 5 decimal places? 0.00122 Round -4198 to the nearest one hundred. -4200 What is 0.0000023073 rounded to 7 dps? 0.0000023 What is 4262000 rounded to the nearest 1000000? 4000000 Round 41300 to the nearest 10000. 40000 Round 89111 to the nearest 1000. 89000 What is 731900 rounded to the nearest one hundred thousand? 700000 Round 773.7 to the nearest 10. 770 Round 26670 to the nearest 1000. 27000 What is -1602000 rounded to the nearest one hundred thousand? -1600000 Round -0.00014592 to 5 dps. -0.00015 Round -0.6177 to two decimal places. -0.62 What is 1811.43 rounded to the nearest 100? 1800 Round 20.5 to zero dps. 21 What is 0.019024 rounded to 3 dps? 0.019 Round 5847.8 to the nearest 100. 5800 What is -133800 rounded to the nearest ten thousand? -130000 What is -0.1142 rounded to 3 dps? -0.114 What is 40000 rounded to the nearest ten thousand? 40000 What is 0.023711 rounded to four decimal places? 0.0237 Round 0.021762 to four decimal places. 0.0218 What is -17982 rounded to the nearest 1000? -18000 Round -0.0009819 to 5 dps. -0.00098 Round 165370 to the nearest ten thousand. 170000 What is -0.000003697 rounded to 6 decimal places? -0.000004 Round -541600 to the nearest 100000. -500000 What is -0.032684 rounded to two dps? -0.03 Round 0.0053521 to 3 decimal places. 0.005 What is -60730 rounded to the nearest 1000? -61000 What is 0.00008818 rounded to six decimal places? 0.000088 Round -649.372 to the nearest one hundred. -600 What is 17070 rounded to the nearest one thousand? 17000 Round -0.01189 to four decimal places. -0.0119 Round 58.98 to the nearest integer. 59 What is -60.16 rounded to the nearest 10? -60 What is -0.000003968 rounded to six decimal places? -0.000004 What is 0.05539 rounded to two dps? 0.06 What is 5105.1 rounded to the nearest 10? 5110 What is 5105500 rounded to the nearest 10000? 5110000 Round -0.06299 to 1 decimal place. -0.1 What is 0.0000140446 rounded to 7 decimal places? 0.000014 Round 1.42 to 1 decimal place. 1.4 What is -0.0014563 rounded to 4 dps? -0.0015 What is -6884000 rounded to the nearest one hundred thousand? -6900000 What is -69308 rounded to the nearest ten thousand? -70000 What is 6.349 rounded to the nearest integer? 6 Round -0.00002615 to six decimal places. -0.000026 What is 0.000000235 rounded to 7 decimal places? 0.0000002 Round 1900000 to the nearest 100000. 1900000 Round 0.019045 to 4 decimal places. 0.019 Round 0.00001 to 6 dps. 0.00001 What is 0.039341 rounded to 4 dps? 0.0393 Round 0.034602 to two dps. 0.03 What is -45302000 rounded to the nearest one hundred thousand? -45300000 What is -1.44 rounded to 2 decimal places? -1.44 What is -1209.9 rounded to the nearest one hundred? -1200 What is 79.181 rounded to the nearest 10? 80 Round 14.222 to zero dps. 14 What is -119239000 rounded to the nearest 100000? -119200000 Round 402.8 to the nearest one hundred. 400 Round -2.5 to 1 dp. -2.5 What is 75.29 rounded to the nearest ten? 80 Round 15214 to the nearest 100. 15200 What is -594 rounded to the nearest 100? -600 Round -83.49 to the nearest integer. -83 Round 15.9 to the nearest 10. 20 Round -0.01787 to three decimal places. -0.018 What is 0.5447 rounded to 2 decimal places? 0.54 Round -12510000 to the nearest one million. -13000000 What is -5399.9 rounded to the nearest 100? -5400 What is -24.02 rounded to 0 dps? -24 Round 0.3918 to three decimal places. 0.392 Round 0.0000033811 to seven decimal places. 0.0000034 What is -24863 rounded to the nearest 1000? -25000 Round 7059.9 to the nearest one hundred. 7100 Round -136910 to the nearest 1000. -137000 What is -0.000029132 rounded to seven dps? -0.0000291 Round -88.7 to the nearest ten. -90 Round -32730 to the nearest 1000. -33000 What is 27.66 rounded to the nearest ten? 30 What is -484890 rounded to the nearest 1000? -485000 Round -58940 to the nearest 10000. -60000 Round -974420 to the nearest ten thousand. -970000 Round -0.0007165 to 4 dps. -0.0007 Round -87620 to the nearest ten thousand. -90000 Round -766000 to the nearest one million. -1000000 What is -37248000 rounded to the nearest 100000? -37200000 Round -6.629 to 1 decimal place. -6.6 Round -617.26 to the nearest 100. -600 Round -304392 to the nearest 1000. -304000 What is 1
{ "pile_set_name": "DM Mathematics" }
8/7 Evaluate ((-12480)/(-1365) + (-12)/(-14))/(102/(-969)). -95 What is the value of 54/(-4)*(-8378)/12567? 9 What is (1932/(-112) + -4)/(((-221)/13)/68)? 85 Calculate ((-155)/(-15) + 4)*(-174 + 177). 43 What is (-40)/14 - ((-371488)/8246 - -42)? 6/31 What is (-4 - -3)*(26169/1742 - 15)*40/30? -2/67 97*(-49 - -29 - -21) 97 What is (233730/(-5616))/(-35) + 14/(-2 + 338)? 16/13 ((-2)/(-19))/(150/(-250) + 6/90*-6) -2/19 What is 14/(-238)*-35*(-48)/5040? -1/51 What is (130/1170)/((-2)/234)? -13 Evaluate -31 + (-576)/(42 - 24). -63 What is the value of 2/(-238)*((-2)/(-3))/((-980)/3430)? 1/51 What is the value of ((15/(-198))/1)/((-369)/(-81) + -4)? -3/22 ((-66)/7)/((-650)/(-2275))*(-6)/9 22 Calculate (-2)/(15/((-3555)/138)) - (23 - 44)/(-7). 10/23 What is the value of ((-5)/1495)/((-800)/(-4160))? -2/115 (-735)/(-108780)*(6 - (4 - 2)) 1/37 What is the value of -14*(9504/(-448) + 19)? 31 What is (-5)/(-70) + 109400/(-2800)? -39 (-45)/(-1836) + ((-23)/12)/23 -1/17 What is the value of 15/(375/50)*(-10)/(-1224 - -4)? 1/61 Calculate ((-22)/(-110)*21)/(105/150). 6 What is -37 - (24/(-21))/(148/518)? -33 What is (-259)/114 + (6440/1748)/35? -13/6 Calculate ((1/(-47))/1)/((-6)/4*(-1182)/(-1773)). 1/47 Evaluate (((-867)/68)/(-17))/(98/(-96) - -1). -36 What is -165*86/(-645) + (-111)/4? -23/4 What is the value of (33 - 25/((-188000)/(-248224)))/((-12)/(-10))? -1/141 (-8)/(-52) - 445/(-65) - (-1215)/(-27) -38 Calculate 29 - (12/15)/(59/10 + (-342)/57). 37 (-4)/(-18) - (-960)/1800*((-2)/3 - 1) -2/3 What is the value of 179/(-716)*2031/(-39) + 13/(-1)? 1/52 286/(-429)*57/2 + 8 -11 What is the value of 112892/3380 + 17/(-5)? 30 ((-60)/1530*6)/((-1140)/(-75) - 16) 5/17 Calculate -11 + (-192)/(-18) - 25742/(-366). 70 What is (84 + -27)/57*(0 - 2 - (-18 - 3))? 19 What is (3 + 4)/(((-1)/6)/(18/(-108)*4))? 28 What is -32 - 1 - 85760/(-4288)? -13 Evaluate (-30*(-6)/(-24))/(1/(152/114)). -10 What is 18*-8*979/(-3204)? 44 What is the value of (176/96 + (23 - (-1610)/(-69)))/((-3)/16)? -8 Calculate (-310)/3751*(-1804)/1230. 4/33 (-72)/(-27)*4830/(-280) -46 What is the value of (9/432*4)/((-6 + 25)/7068)? 31 Evaluate 2596/(-62953) + 9898/207095. 2/305 ((-1)/5*-11 - 594/2970)*-22 -44 Evaluate (29 + (-4148)/136)*-42. 63 (3744/(-8424))/((-4)/(-234)) - 5 -31 Evaluate (-407256)/8604*(-6)/(-4). -71 What is (-16 + (-1430)/(-91) - (-813)/(-21))/(-3) + -40? -27 What is (-3)/8 + (64 - ((-132525)/248)/(-95))? 58 Evaluate 14160/5192 - (-790)/275. 28/5 Calculate (-15 + -18 + 17 - 1492/(-100))/(9/30). -18/5 Evaluate ((-15)/315)/((-2432)/(-1792)). -2/57 What is (3 - 1) + (-29)/((-12180)/(-1040))? -10/21 What is the value of (40/42 - (-10)/(-35))/(((-17114)/(-4644))/(-199))? -36 (0 - (-190)/88) + 58409/(-17972) -12/11 What is (-1486)/440 + (-46971)/(-13815)? 1/44 Calculate 168/(-8) + -3 + (-44 - (-67 + 42)). -43 What is 5/39*-3*-20*27/270? 10/13 2/(61/9 + -7) + 3 + 8/2 -2 Calculate (1377/(-1944))/((-33)/99). 17/8 Calculate ((-5020)/8032*32/(-30))/(-1*(-30)/(-4)). -4/45 What is 10*((1/(-20))/(66/88))/((-1)/12)? 8 Calculate (189/2835)/(8/(-168)*2). -7/10 What is (-1)/(-5) + (-356)/(-445) + 4 + -98? -93 (-13764)/14763 + (((-208)/(-24))/((-14)/3) - -3) 4/19 What is 0 - 4/74 - 530805/6105 - -19? -68 What is 232/(-6)*7269/9692? -29 Evaluate 2/((-26048)/448 + 60). 14/13 Calculate (27/(-45))/(((-1479)/340)/((-12)/(-32)) - -10). 3/8 Calculate (-77 - -93) + (2/4)/((-11)/22). 15 Evaluate (60/4)/(-30 + 225170/7476). 126 Calculate (-80 - -16) + 28 + -3*(2 - 3). -33 What is the value of 26*(-73)/(-3796)*(5 + -2 + -9)? -3 What is (-535 + 534)/(2*2)*6/23? -3/46 What is the value of 1206/2412 - (-3)/(-10)? 1/5 Evaluate (10 - 240/25*(-240)/(-198)) + 12/6. 4/11 Calculate (-3)/7*(-7392)/1584*(-18)/192. -3/16 What is the value of 4180/(-110) - ((-1407)/35 + 2)? 1/5 (1064/(-20))/(-19)*(-270)/63 + (-513)/(-42) 3/14 What is the value of 4/134 + 13 + 2481/(-67)? -24 Calculate (-33 - 14) + 2620/40. 37/2 Calculate ((-5310)/(-1534))/((-6)/182). -105 (1/58)/(-1*(-6 + -1 - (-42)/7)) 1/58 (-30 - -48)*6/(-150)*(-2 - (-44)/12) -6/5 Evaluate (-58)/(-24) - ((7 - 1) + (-20448)/3834). 7/4 Calculate (-11)/11*280/(-8). 35 Calculate (-1360)/17 + -13 + 162. 69 What is the value of 72/((46/(-9))/(12/(-27)) + -13)? -48 (-27)/(-90) + (6/26 - (-420)/(-975)) 1/10 Calculate 10/((-50)/55)*646/(-238) + 1/7. 30 What is -76 + 9170/350 - (-1)/(-5)*6? -51 Evaluate 19/551 - (68700/(-5075) - -1). 88/7 What is the value of (86/(-12) + 1)*-6 - (-189 - -202)? 24 ((-14)/(-161) - (-4 - (-3875)/920)) + (-497)/56 -9 What is the value of 21/5*(-51 + 35 + 11)? -21 Calculate (5*-1 + 8 + -4)*4*(-30)/(-280). -3/7 3264/32708 + (2 + 53/(-26))/((-83)/(-332)) -2/37 Calculate (-434)/1085*(-10)/(-108). -1/27 Calculate ((-5148)/2340)/(22/12). -6/5 -19 - (-12)/3 - (9 + 30) -54 What is the value of (-1309)/1089 - (-65)/((-2860)/(-48))? -1/9 Evaluate (-595)/1275*18/42. -1/5 Calculate 624/130 + 21/5. 9 ((-8)/168*7)/(((-8932)/(-66))/29) -1/14 What is 285/70 + -4 - (13 + (-249)/42)? -7 What is the value of ((-14310)/(-131175))/(((-9)/30)/(-1))? 4/11 What is -27*(-3222)/(-1620) + 54? 3/10 What is the value of ((-16)/10)/(5560/(-107725))? 31 (-5 + 4 - 19/((-114)/8))/((-135)/(-30)) 2/27 Evaluate (4/(-13))/((-182434)/14287). 2/83 3 + (180/(-960))/((-155)/(-140) + -1) 5/4 What is the value of (41 + -43)*(80/(-32) + -16)? 37 Evaluate 64 + -76 - (43 + -35). -20 What is the value of (-102297)/10750 + (-3078)/(-324)? -2/125 What is (18/(-8))/((-12123)/(-2694))? -1/2 What is the value of -21 + -4 + 90144/2256 - 15? -2/47 What is ((-3630582)/(-918))/(-73) + (-3)/(-17)? -54 What is the value of (-3)/((-30)/8) - (-34 + 642664/18480)? 1/42 -3 + (116 - -16)*(-5)/(-60) 8 What is the value of (5*(-6)/180)/(3/9) + 110/(-440)? -3/4 What is the value of 807/(-22)*1002/1503 - (-6)/(-11)? -25 Evaluate 121 + (67744/29)/(-32). 48 Calculate -11 + 1/((7/(28/(-8)))/(-41 - -63)). -22 Calculate 23/84 + 22 + (-30264)/1358. -1/84 What is the value of (-2 - 8)*(119973/(-4785) + 25)? 8/11 ((-51)/(-578))/((-3396)/4811) -1/8 Calculate -120*((-1)/(-1))/(836 - 834). -60 Calculate 0 - (-58 + (-3784)/(-43)). -30 Evaluate 2030/(-1218)*13/(455/168). -8 What is the value of (-25 + -52 + 76)*7/448? -1/64 What is the value of (7/(-6))/((-4774)/151404)? 37 Evaluate 144/64 - ((-1575)/(-20))/63. 1 What is ((-1392)/4872)/(2/21) - (-1 - 42/8)? 13/4 What is (-59 - 1850/250)*(-15)/12? 83 What is the value of (137 - 154 - (0 - -5)) + -21? -43 Evaluate 315/(-21) + (8 - 22). -29 What is the value of (-12)/(-26) - (592/(-2886))/(6/(-7992)*-6)? 46 What is (70/(-1120))/(3/168)*-2? 7 Calculate (-4)/(-13)*(-12238)/(-1856) - 18/117. 15/8 Calculate 85/(-595)*(-23 - -121). -14 What is 12 + (-115 - -91)/(39/(-52))? 44 (4400/(-125))/88*10/108 -1/27 Calculate ((-76236)/(-31765))/(4/((-160)/3)). -32 Evaluate 26 + (-119 - (-126 - -51)). -18 What is the value of ((-144)/(-27))/((-4169)/(-231) - 18)? 112 What is (-202)/12 - (1196/104 - 13)*12? 7/6 What is the value of ((-25)/(-5) - 84/18*(-15)/(-10)) + 7? 5 What is the value of ((-54)/(-81))/(1672/(-840) - 6/(-3)*1)? 70 Evaluate 23066/190 + -4 + 1034/(-235). 113 -1 + -7 + 28080/(-4160)*(-152)/18 49 What is -13*(-7*1 + -15 + 18 + -2 + 9)? -39 Evaluate (0*8/232 - 68) + 49. -19 3519/11934 - (-1)/(-3) -1/26 Evaluate (126 + -125)/(16/440*15/(-18)). -33 Calculate 27846/(-6732) + ((-7)/(-11) - 1). -9/2 -15 + 38/(-76)*44 -37 Evaluate 33/10*(-12290)/(-432608). 3/32 What is the value of (((-31776)/(-9268))/((-10)/7))/(-6*(-6)/(-585))? 39 What is the value of 2079/108 - (0 + -4 - -24)? -3/4 What is -22 + 31 + 264/33? 17 13*-7*(-2200)/(-15400) -13 What is (-5 + 6 - (-168)/34) + 15/255? 6 Calculate (4844/(-36330))/(1/(-10)). 4/3 Evaluate 4/(-10) + 287/((11 - -25) + -31). 57 Evaluate ((-918)/2448)/(15/3160). -79 What is the value of ((-6)/(-20))/(318/(-265)) + -32 + (-406)/8? -83 Evaluate (5 + -2 + 0)*((-1075)/(-15) - 64). 23 (-73160)/(-590) + -7 + 2 119 Calculate 37 + (-470760)/(-6120) + -114. -4/51 What is the value of (2 - (-27)/(-21))/(((-6)/210)/((-581)/2905))? 5 (-1237 - -1188) + 8324/170 -3/85 (-1992)/7968*24/(-63) 2/21 Evaluate 4 - (-20)/(-3) - ((-531944)/147)/(-92). -42 What is the value of 544/(-4080) - 3/(-2385)*136? 2/53 ((-30576)/897 - -34)*(0 + 1) -2/23 Calculate (((-36)/15)/3
{ "pile_set_name": "DM Mathematics" }
or of 73283 and 199633? 2527 What is the greatest common factor of 3734 and 1316283542? 3734 What is the highest common factor of 75100 and 174040? 20 Calculate the greatest common factor of 155692164 and 774. 258 Calculate the greatest common factor of 550 and 4370710. 10 Calculate the greatest common divisor of 12 and 242691996. 12 Calculate the greatest common divisor of 20 and 2938915. 5 Calculate the greatest common factor of 45707869 and 134. 67 Calculate the highest common divisor of 16821487 and 23. 23 What is the highest common factor of 324689 and 4? 1 Calculate the highest common divisor of 35082 and 22194. 18 Calculate the highest common divisor of 102 and 324906. 6 What is the greatest common divisor of 313175 and 37925? 25 What is the greatest common divisor of 16837 and 205999? 113 What is the highest common divisor of 11625 and 1123905? 465 What is the highest common factor of 267 and 92172? 3 What is the greatest common divisor of 2888 and 41360? 8 Calculate the greatest common divisor of 31780 and 1320459. 1589 What is the greatest common divisor of 58 and 2645791046? 58 What is the highest common divisor of 158499 and 5013? 9 Calculate the highest common divisor of 10975220 and 46. 2 What is the greatest common divisor of 14968 and 110546164? 7484 What is the highest common divisor of 28848 and 4656? 48 Calculate the highest common divisor of 444 and 30156. 12 Calculate the highest common divisor of 6136 and 254424. 8 Calculate the greatest common factor of 324271277 and 68. 17 Calculate the highest common factor of 960 and 19336. 8 What is the highest common divisor of 372364 and 9529? 733 What is the greatest common divisor of 5700080 and 8600? 1720 Calculate the greatest common factor of 318079300 and 28. 28 Calculate the highest common divisor of 50 and 1265354800. 50 Calculate the greatest common divisor of 342992 and 22321. 221 Calculate the greatest common divisor of 80170727 and 56. 7 What is the greatest common factor of 1009 and 402835178? 1009 What is the highest common divisor of 305113081 and 1555? 311 Calculate the greatest common divisor of 1066744 and 1106. 14 What is the highest common divisor of 3751046 and 26? 26 What is the greatest common divisor of 68506 and 210? 2 Calculate the greatest common divisor of 55 and 21931625. 5 What is the greatest common factor of 244195 and 1855? 35 Calculate the greatest common factor of 1433702 and 25346. 1102 Calculate the greatest common factor of 6031345 and 935. 85 Calculate the greatest common divisor of 172 and 12825868. 172 Calculate the greatest common factor of 12725159 and 2945. 31 Calculate the greatest common factor of 35928 and 6504. 24 What is the greatest common factor of 3299 and 44681656? 3299 Calculate the greatest common factor of 222950 and 16120. 130 Calculate the greatest common divisor of 1194086 and 36058. 298 What is the highest common divisor of 619840 and 5312? 64 What is the greatest common divisor of 52554788 and 6610? 1322 Calculate the greatest common factor of 3571182 and 2706. 246 What is the greatest common factor of 2108 and 1700714? 34 What is the greatest common factor of 295807 and 69647? 257 What is the highest common divisor of 6575 and 5683430? 1315 Calculate the greatest common factor of 2773 and 2705799. 59 What is the highest common factor of 1831345004 and 4? 4 Calculate the greatest common factor of 24180 and 12183. 93 What is the highest common divisor of 10318396 and 49852? 484 What is the greatest common factor of 13813 and 94240? 19 Calculate the greatest common factor of 17223159 and 23. 23 What is the greatest common factor of 218202 and 2706? 246 What is the greatest common divisor of 12817527 and 12621? 1803 What is the highest common divisor of 51174 and 540? 18 What is the greatest common factor of 42 and 2436398? 2 What is the highest common divisor of 178 and 983302438? 178 What is the highest common factor of 1440 and 220563360? 1440 Calculate the greatest common factor of 21548870 and 316820. 5110 Calculate the highest common divisor of 61710 and 16810. 10 What is the greatest common divisor of 6 and 103142? 2 What is the greatest common factor of 305778 and 132662? 226 Calculate the highest common divisor of 10 and 789885. 5 What is the greatest common factor of 1125 and 4978375? 125 Calculate the highest common divisor of 735 and 125884479. 147 What is the highest common divisor of 701 and 104947411? 701 Calculate the greatest common factor of 36942049 and 31. 31 What is the highest common factor of 1292759 and 439322? 3601 What is the greatest common factor of 32535 and 1032203? 241 What is the highest common factor of 209 and 20957? 19 What is the greatest common factor of 361 and 2621712682? 361 What is the highest common divisor of 560263 and 103774? 583 What is the highest common factor of 155 and 1193252? 31 What is the greatest common divisor of 114718989 and 1155? 231 Calculate the greatest common factor of 45645 and 23460. 255 Calculate the highest common factor of 510866 and 3938. 358 Calculate the greatest common divisor of 888 and 22441721. 37 What is the greatest common divisor of 762776 and 329? 7 Calculate the highest common factor of 1796 and 80912. 4 Calculate the greatest common factor of 3206016 and 47553. 363 Calculate the greatest common factor of 50497050 and 138675. 3225 Calculate the greatest common factor of 220179258 and 72. 18 What is the highest common divisor of 36 and 248024340? 36 What is the greatest common factor of 283275 and 2430? 45 Calculate the highest common factor of 4982 and 880118. 106 Calculate the greatest common factor of 11596338 and 1170. 234 What is the highest common factor of 233988216 and 318? 318 Calculate the highest common factor of 400 and 95026640. 80 What is the greatest common factor of 2832 and 4661236? 236 Calculate the greatest common divisor of 26264 and 7840. 392 Calculate the highest common divisor of 24 and 88025352. 24 What is the greatest common divisor of 64592 and 9908? 4 What is the highest common factor of 1232 and 1054130? 154 Calculate the greatest common factor of 14 and 612825318. 14 Calculate the greatest common factor of 21096 and 1514066952. 7032 What is the highest common divisor of 567 and 55175001? 21 What is the greatest common factor of 11271450 and 90? 30 Calculate the greatest common factor of 81870956 and 5072. 1268 What is the highest common divisor of 27634 and 2954816? 674 Calculate the highest common factor of 749603 and 1556. 389 Calculate the highest common factor of 4877253 and 243. 243 What is the highest common divisor of 70042 and 43731223? 5003 What is the highest common divisor of 1386 and 2516162? 22 Calculate the highest common factor of 231 and 933177. 21 Calculate the highest common divisor of 351 and 48107514. 39 What is the highest common factor of 1034 and 508838? 22 What is the highest common factor of 162404452 and 364? 28 What is the highest common factor of 567 and 154007973? 567 Calculate the highest common divisor of 283044 and 39964. 412 Calculate the highest common divisor of 510 and 38847870. 30 What is the greatest common divisor of 881430856 and 376? 376 Calculate the greatest common divisor of 3961878 and 10758. 978 What is the highest common divisor of 2219135 and 67415? 695 Calculate the greatest common divisor of 595254 and 7301910. 1914 Calculate the greatest common factor of 557340 and 200172. 84 What is the greatest common divisor of 141059905 and 4570? 2285 Calculate the highest common factor of 60723 and 22836. 519 What is the highest common factor of 99 and 140382? 99 What is the highest common divisor of 475692734 and 3102? 1034 What is the highest common factor of 89854839 and 1273? 67 What is the greatest common divisor of 17056295 and 5? 5 Calculate the greatest common divisor of 71582 and 454208242. 10226 Calculate the greatest common divisor of 248200 and 19546600. 3400 What is the greatest common divisor of 148164804 and 254? 254 What is the greatest common factor of 12304 and 2932966? 1538 What is the greatest common divisor of 1370837356 and 28? 28 Calculate the highest common divisor of 158834493 and 1455. 291 What is the highest common factor of 2885 and 417701840? 2885
{ "pile_set_name": "DM Mathematics" }
cked without replacement from {e: 1, k: 1, n: 1, s: 1, z: 1}. Give prob of picking 1 z, 1 n, 1 s, and 1 e. 1/5 What is prob of picking 4 o when four letters picked without replacement from zoozooozzooz? 7/99 Two letters picked without replacement from {c: 5, b: 7}. What is prob of picking 2 b? 7/22 Two letters picked without replacement from {m: 4, p: 1, g: 2, z: 6, u: 4, t: 2}. What is prob of picking 1 p and 1 z? 2/57 Calculate prob of picking 3 j and 1 n when four letters picked without replacement from {j: 4, n: 8, i: 4}. 8/455 Calculate prob of picking 2 r when two letters picked without replacement from rrrnrrrrrrrrrrr. 13/15 Calculate prob of picking 1 i, 1 d, and 1 t when three letters picked without replacement from ttdditdtid. 4/15 What is prob of picking 1 r and 1 o when two letters picked without replacement from {r: 6, g: 1, o: 4}? 24/55 Four letters picked without replacement from {v: 1, y: 6, l: 4, b: 5}. Give prob of picking 1 y and 3 l. 6/455 Calculate prob of picking 1 y and 1 p when two letters picked without replacement from pgguyvgpgppp. 5/66 Three letters picked without replacement from {i: 8, y: 3, v: 1, g: 4, z: 3}. What is prob of picking 1 v, 1 g, and 1 i? 32/969 Three letters picked without replacement from yykyuyyyyyuyyusuy. Give prob of picking 3 u. 1/170 Calculate prob of picking 1 p, 1 c, and 1 m when three letters picked without replacement from {u: 3, p: 1, c: 1, m: 2}. 2/35 Three letters picked without replacement from {l: 3, z: 1, t: 6, d: 2}. What is prob of picking 1 d, 1 l, and 1 z? 3/110 Calculate prob of picking 1 k, 1 d, and 1 z when three letters picked without replacement from {d: 1, f: 1, k: 1, j: 2, z: 2}. 2/35 What is prob of picking 1 g and 1 e when two letters picked without replacement from {g: 4, e: 15}? 20/57 Calculate prob of picking 3 l and 1 a when four letters picked without replacement from llsal. 1/5 Calculate prob of picking 2 o when two letters picked without replacement from ooxxoxooooo. 28/55 What is prob of picking 2 f and 2 q when four letters picked without replacement from {q: 3, l: 2, f: 2, n: 6}? 3/715 Four letters picked without replacement from mmymxoxxmmyym. Give prob of picking 3 m and 1 x. 12/143 Four letters picked without replacement from {v: 1, k: 1, j: 3, e: 4, m: 6}. What is prob of picking 2 e, 1 v, and 1 m? 12/455 What is prob of picking 3 x when three letters picked without replacement from bxxxtbxubb? 1/30 Two letters picked without replacement from {f: 3, p: 6, n: 2, v: 2}. What is prob of picking 1 v and 1 p? 2/13 Two letters picked without replacement from qrrr. What is prob of picking 1 r and 1 q? 1/2 Four letters picked without replacement from vgpyovv. Give prob of picking 1 p and 3 v. 1/35 Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {n: 7, h: 6, s: 3, g: 1}. 21/136 Three letters picked without replacement from {q: 8, w: 5}. What is prob of picking 2 q and 1 w? 70/143 Two letters picked without replacement from {z: 1, x: 4, m: 2, v: 2}. Give prob of picking 1 x and 1 v. 2/9 Four letters picked without replacement from ddhddedxhhhxd. Give prob of picking 1 e, 1 x, and 2 d. 6/143 Four letters picked without replacement from {p: 2, r: 3, w: 3}. What is prob of picking 2 r, 1 w, and 1 p? 9/35 Four letters picked without replacement from fahhhagmayhfhyh. Give prob of picking 4 h. 1/91 Two letters picked without replacement from wsqcycsq. Give prob of picking 1 q and 1 c. 1/7 Two letters picked without replacement from {v: 12, g: 7}. What is prob of picking 1 v and 1 g? 28/57 Three letters picked without replacement from {h: 2, x: 6}. Give prob of picking 1 h and 2 x. 15/28 Three letters picked without replacement from {z: 2, v: 5, d: 2}. What is prob of picking 1 v and 2 z? 5/84 Four letters picked without replacement from {j: 4, g: 7, z: 6}. What is prob of picking 2 g and 2 z? 9/68 Two letters picked without replacement from nhxyxrr. Give prob of picking 1 y and 1 h. 1/21 What is prob of picking 1 w, 1 b, and 1 o when three letters picked without replacement from {b: 1, g: 1, o: 2, w: 1}? 1/5 Calculate prob of picking 3 l and 1 m when four letters picked without replacement from mlmaamaammmmlamla. 2/595 What is prob of picking 3 e when three letters picked without replacement from jjeeeeeejjje? 7/44 Four letters picked without replacement from {v: 1, s: 5, k: 2, r: 1, p: 1}. Give prob of picking 4 s. 1/42 Four letters picked without replacement from {i: 3, f: 3, z: 2, h: 7}. Give prob of picking 1 z and 3 i. 2/1365 Two letters picked without replacement from {s: 3, a: 1, j: 1}. Give prob of picking 2 s. 3/10 What is prob of picking 2 s and 1 z when three letters picked without replacement from {j: 1, d: 2, p: 1, z: 1, r: 1, s: 2}? 1/56 Calculate prob of picking 3 d and 1 o when four letters picked without replacement from dkkdodddkooodddd. 12/65 Three letters picked without replacement from {z: 3, y: 1, v: 1, x: 4, k: 2, q: 1}. What is prob of picking 2 x and 1 k? 3/55 Calculate prob of picking 1 n, 1 i, 1 g, and 1 a when four letters picked without replacement from aufnniufggnngagugngg. 14/969 Four letters picked without replacement from {p: 2, f: 2, j: 7, s: 3, v: 1, y: 3}. Give prob of picking 2 j and 2 f. 7/1020 What is prob of picking 4 p when four letters picked without replacement from ppppp? 1 What is prob of picking 1 a, 1 o, and 1 e when three letters picked without replacement from {g: 2, j: 3, e: 4, o: 2, a: 1}? 2/55 Two letters picked without replacement from {h: 2, d: 4}. What is prob of picking 2 d? 2/5 What is prob of picking 2 b when two letters picked without replacement from {f: 17, b: 3}? 3/190 What is prob of picking 3 v when three letters picked without replacement from vvvvvfvvvfvvvvvvvvvv? 68/95 Four letters picked without replacement from pciipcttp. Give prob of picking 1 i, 1 p, and 2 t. 1/21 What is prob of picking 1 g, 1 c, and 1 u when three letters picked without replacement from {c: 4, u: 1, g: 4, k: 1, s: 2, y: 8}? 4/285 Calculate prob of picking 1 q and 2 w when three letters picked without replacement from wssywwwyq. 1/14 Two letters picked without replacement from cykcckcrkpbc. What is prob of picking 2 k? 1/22 What is prob of picking 2 x when two letters picked without replacement from {r: 7, x: 4}? 6/55 Calculate prob of picking 4 c when four letters picked without replacement from {c: 19, t: 1}. 4/5 Two letters picked without replacement from krksskksmmkgkm. What is prob of picking 1 r and 1 k? 6/91 Three letters picked without replacement from {c: 9, m: 4, t: 1}. Give prob of picking 3 c. 3/13 What is prob of picking 3 c when three letters picked without replacement from {y: 3, q: 2, c: 3}? 1/56 Two letters picked without replacement from {o: 1, l: 1, g: 1}. What is prob of picking 1 g and 1 o? 1/3 Three letters picked without replacement from pszttwtopwtzww. What is prob of picking 1 p, 1 o, and 1 z? 1/91 Four letters picked without replacement from wwwwqrdwwwwww. Give prob of picking 2 w, 1 r, and 1 d. 9/143 Three letters picked without replacement from gffofoofolllllofll. What is prob of picking 1 f and 2 l? 35/272 Calculate prob of picking 2 i and 2 x when four letters picked without replacement from iixjnx. 1/15 Three letters picked without replacement from {t: 8, k: 3}. What is prob of picking 2 k and 1 t? 8/55 Calculate prob of picking 1 i and 1 c when two letters picked without replacement from iixcicciixqixiq. 1/5 Three letters picked without replacement from {b: 2, j: 3, y: 1, p: 1, r: 4, n: 4}. Give prob of picking 1 r, 1 y, and 1 n. 16/455 Two letters picked without replacement from vyvyvyvyvy. What is prob of picking 2 v? 2/9 Three letters picked without replacement from {e: 2, l: 6}. Give prob of picking 1 l and 2 e. 3/28 Two letters picked without replacement from {y: 10, b: 4}. Give prob of picking 2 y. 45/91 Calculate prob of picking 2 y and 1 r when three letters picked without replacement from {q: 5, t: 1, u: 1, m: 3, y: 4, r: 3}. 9/340 Four letters picked without replacement from pipqiiqp. What is prob of picking 1 p, 1 q, and 2 i? 9/35 Two letters picked without replacement from gidgbiuugubggbbugguu. What is prob of picking 1 u and 1 g? 21/95 Calculate pr
{ "pile_set_name": "DM Mathematics" }
*4 + 55*t**2 + 81*t? -24*t**2 + 110 Find the second derivative of 23*x**4 - 12*x**3 - 2*x - 37. 276*x**2 - 72*x Differentiate -342*q**4 - 3*q**2 + 5224. -1368*q**3 - 6*q Differentiate 5494*u**2 - 2*u - 12742 wrt u. 10988*u - 2 What is the second derivative of 6*b**4 - 431*b**3 + 8558*b? 72*b**2 - 2586*b Find the third derivative of 4*p**3*s**3 + p**3 + 107*p*s**5 - 1297*s**2 wrt s. 24*p**3 + 6420*p*s**2 What is the first derivative of 863*c**3 + 2664 wrt c? 2589*c**2 Find the second derivative of 3*h**2*o**3 + 7*h**2*o - 34*h**2 + 102*h*o**2 - 4*h + 5*o**3 - 2*o wrt o. 18*h**2*o + 204*h + 30*o What is the third derivative of -5*c**5 + 77*c**3*i**3 + 199*c**2*i**2 + 7*i**3 wrt c? -300*c**2 + 462*i**3 Find the first derivative of -4*a**3*o + 2*a**3 + 142*a**2 - 2*a*o + 328*o - 17 wrt o. -4*a**3 - 2*a + 328 Differentiate -6*b**3*l + 13*b**3 + 16*b*l**3 + 17*b wrt l. -6*b**3 + 48*b*l**2 Differentiate -19*d*j*y - 68*d*j - 12*j*y + y - 111 with respect to d. -19*j*y - 68*j What is the second derivative of -4*d**2*r - 249*d**2 - 11*d*r + 6*d + 5*r - 1 wrt d? -8*r - 498 What is the third derivative of -13*o**4*q - o**4 + 3*o**3*q**2 + o**2*q - 6*q**2 + 6*q wrt o? -312*o*q - 24*o + 18*q**2 Find the third derivative of -2*h**5 - 2*h**3 - 11*h**2 - 7. -120*h**2 - 12 What is the derivative of a*v**3*x + 4*a*x**3 - 3*a*x + 514*v**3*x**3 - v**3 - 2*v**2*x**3 wrt a? v**3*x + 4*x**3 - 3*x Find the second derivative of 8709*s**4 + 120*s - 5 wrt s. 104508*s**2 Find the second derivative of 177*b**5 + b**4 + 167*b wrt b. 3540*b**3 + 12*b**2 Differentiate -15*a**2*d**2 - 5*a**2*d - 5*a**2 - 1250*d**2 wrt a. -30*a*d**2 - 10*a*d - 10*a What is the second derivative of h**2*k**3 + 22*h**2*k**2 - 4*h**2*k*p + 3*h**2*k - 183*h*k**3*p + 2*k**3 + 47*k**2*p wrt h? 2*k**3 + 44*k**2 - 8*k*p + 6*k Differentiate -2*c*r + 2065*c - 1204*r wrt r. -2*c - 1204 What is the third derivative of 13*g**6 - 15*g**4 + 7*g**3 + 4150*g**2 wrt g? 1560*g**3 - 360*g + 42 What is the first derivative of -b**3*i*z + 31*b**3*i - 2*b**3*z + b*i*z - b*i - 1 wrt z? -b**3*i - 2*b**3 + b*i Find the third derivative of 9389*f**4 + 5314*f**2 wrt f. 225336*f What is the first derivative of -25*w + 162? -25 Find the second derivative of 3*b**2*k*s - 18*b**2*k*u - 2*b**2*s*u + 2*b*s - 6*b - 2*k*u + 3*s - 4*u wrt b. 6*k*s - 36*k*u - 4*s*u Find the second derivative of -414*x**4 + x**2 - 378*x + 2 wrt x. -4968*x**2 + 2 Find the third derivative of 13*n**6*p + 135*n**3*p + n**2*p + n**2 - 71*n*p + 3 wrt n. 1560*n**3*p + 810*p Differentiate -2*h**2 + 32*h + 682. -4*h + 32 What is the third derivative of -9*n**4*z - 18*n**4 - 2*n**3*z**3 - 2*n**2*z**3 - 12*n*z**3 + 4*z**3 wrt n? -216*n*z - 432*n - 12*z**3 What is the second derivative of -5242*p**5*x**3 + 2*p**3*x**2 + 3586*p + x**3 wrt p? -104840*p**3*x**3 + 12*p*x**2 Find the third derivative of -2*g**2*u**3 + 4*g**2*u - 754*g*u**3 - 19*g*u + 2*u**2 wrt u. -12*g**2 - 4524*g What is the first derivative of -559*h**2*w - h**2 + 18*h + 3*w - 6 wrt w? -559*h**2 + 3 What is the second derivative of 2*i**4*r + 6946*i**2*r - 40*i*r + i - 3*r - 4 wrt i? 24*i**2*r + 13892*r Find the third derivative of -253*b**5 + 2*b**4 + 20606*b**2. -15180*b**2 + 48*b Find the second derivative of 3*m**2*s**3 - 406*m**2*s**2*x - 5*m*s**3*x - 5*m*s**3 + 2*m*s**2*x + 2*m*s*x - 6*m*s wrt m. 6*s**3 - 812*s**2*x What is the third derivative of 432*j**2*x**3 + 23*j**2*x**2 + 2*j**2*x + 10*j - 2*x**5 + 2*x**4 wrt x? 2592*j**2 - 120*x**2 + 48*x Find the third derivative of 525*x**5 + 102*x**2 + 3*x wrt x. 31500*x**2 Differentiate 19871*i**2*v**4 - 11462*i**2 - 1 with respect to v. 79484*i**2*v**3 Find the first derivative of 35*t*y**2 + 2*t*y - 3*t - 663 wrt y. 70*t*y + 2*t What is the first derivative of 620*r**4 + 334 wrt r? 2480*r**3 Differentiate g**2*j - 8*g**2*k + 3*g*j**3 - 6*j**3*k + 45*j**3 with respect to k. -8*g**2 - 6*j**3 Find the third derivative of -g**2*j*x**3 - g**2*x**2 - 6*g*j*x**2 + 374*g*x**3 + 2*j**2*x**3 + 12*j**2 wrt x. -6*g**2*j + 2244*g + 12*j**2 Find the third derivative of 2*w**3*y**3 - 32*w**3*y**2 + w**2*y**2 - 26*y**5 wrt y. 12*w**3 - 1560*y**2 Find the first derivative of -l**2*n**2 + 11*l**2*y + 4*l*n**2 + 10*l*y + 5*n**2*y wrt n. -2*l**2*n + 8*l*n + 10*n*y Find the third derivative of -g*t**5 - 16*g*t**3 + 2*g*t**2 - 13*t**6 + 19*t**2 - 5*t wrt t. -60*g*t**2 - 96*g - 1560*t**3 What is the first derivative of -a**4 - 154*a + 343 wrt a? -4*a**3 - 154 Differentiate -2*k**4*m - 434*k*m**3 - k*m**2 - 729*m**3 with respect to k. -8*k**3*m - 434*m**3 - m**2 Find the third derivative of 2*k**5 - 114*k**4 - 2*k**3 - 2*k**2 - 2*k - 93. 120*k**2 - 2736*k - 12 What is the derivative of -13*y**4 + 24*y - 690? -52*y**3 + 24 Find the first derivative of 299*g*p**3 - 19297*p**3 wrt g. 299*p**3 What is the derivative of 14*t**4 - t**3 + 11*t**2 - 24189 wrt t? 56*t**3 - 3*t**2 + 22*t What is the third derivative of -18969*k**2*u**3 + 2*k**2*u - 316*u**2 wrt u? -113814*k**2 Find the first derivative of -41*k + 44. -41 What is the second derivative of 189*q**5 + 35*q - 1 wrt q? 3780*q**3 Find the second derivative of 87*i**3 - 2*i**2*m*t**2 - 2*i*t**2 + 24*i*t + 2*m*t + 2 wrt i. 522*i - 4*m*t**2 What is the derivative of 7*b*q**4 + 779*b + 118*q**2 - 3 wrt q? 28*b*q**3 + 236*q Differentiate 4*l*r*x - 10*l*r - 76*l*x - l + 2*r with respect to x. 4*l*r - 76*l What is the second derivative of -66*r**5 + 188*r? -1320*r**3 Find the third derivative of -5*h**3*i**4 + 32*h**3*i - 60*h*i**4 - 7*i**2 wrt i. -120*h**3*i - 1440*h*i Find the third derivative of 33*o**4 - 2*o**3 - 13*o**2 - 3 wrt o. 792*o - 12 Find the second derivative of 5*q**4*z**2 + 476*q**4 + 421*q*z**2 - q*z - 3*q - 4 wrt q. 60*q**2*z**2 + 5712*q**2 Find the first derivative of f**3*k - 173*f*k**2 - 115*k**2 + k wrt f. 3*f**2*k - 173*k**2 Find the third derivative of 5*z**6 - 67*z**4 - z**2 + 153*z. 600*z**3 - 1608*z What is the second derivative of -8*w**3*z**5 - 1590*w**3*z + 38*z**5 wrt z? -160*w**3*z**3 + 760*z**3 Find the first derivative of 14*f*n**2*w + 9*f*n**2 - 6*n**2*w + 4*n + 32*w wrt f. 14*n**2*w + 9*n**2 Find the third derivative of -998*k**3*s - k**3 + 126*k**2*s + 5*s wrt k. -5988*s - 6 Find the second derivative of 5901*t**3 + t - 4860. 35406*t What is the third derivative of -7*d*s**3*t**3 + 7*d*s**3*t**2 - 4*d*s**2*t - 15*d*t**3 - 2*d*t**2 wrt s? -42*d*t**3 + 42*d*t**2 Find the second derivative of -c**3*z**2 - 2*c**3 + c**2*z - 8*c*z**5 + 3*c - 3*z**5 - 17*z wrt z. -2*c**3 - 160*c*z**3 - 60*z**3 What is the second derivative of -116*w**4 + 91*w + 1? -1392*w**2 What is the second derivative of 2*i*t**3 - 18*i*t**2 + 4*i*t + 85*t wrt t? 12*i*t - 36*i Differentiate 1282*g**2 + 837 wrt g. 2564*g What is the third derivative of -945*s**6*v + 4*s**4*v**2 - 5*s**2*v + 6*v**2 + 2 wrt s? -113400*s**3*v + 96*s*v**2 What is the second derivative of 66*p**3 + 3*p**2 - 20*p + 2? 396*p + 6 What is the derivative of -3362*q**3 - 2*q + 16695 wrt q? -10086*q**2 - 2 What is the second derivative of -433*f**4 - 3*f + 83 wrt f? -5196*f**2 Differentiate -611*o**3 + 1114 wrt o. -1833*o**2 Find the first derivative of 2*t**4 - 164*t**2 + 3839. 8*t**3 - 328*t What is the third derivative of -246*b**3 + 2*b**2 + 181*b? -1476 What is the second derivative of 12742*l**2 + 10781*l? 25484 What is the third derivative of 178*c**4*p**3 + 2*c**4*p**2 + 2*c**3*p + c**2*p**3 + 80*c**2*p - 2*c**2 wrt c? 4272*c*p**3 + 48*c*p**2 + 12*p What is the third derivative of -156*p**6 + 128*p**2 wrt p? -18720*p**3 What is the derivative of 4*v**3 - 34*v**2 - 3*v - 1114 wrt v? 12*v**2 - 68*v - 3 What is the second derivative of -2*q**4 + q**3 + 7759*q**2 + 187*q? -24*q**2 + 6*q + 15518 Differentiate g*j**2 - 125*g - 24*j**2 with respect to j. 2*g*j - 48*j Find the second derivative of r*v**3 - 4*r*v**2 + 14*r*v - r - 55*v**3 - 2*v wrt v. 6*r*v - 8*r - 330*v What is the third derivative of 4*n**6 + 64*n**4 + n**3 + 46*n**2 + 3*n + 1 wrt n? 480*n**3 + 1536*n + 6 What is the derivative of -196*k**4 + k**3*z + 2*k**2*z - 406*z wrt k? -784*k**3 + 3*k**2*z + 4*k*z Find the first derivative of -533*r*s*v**4 + 3*r*s + 5*r - 12*s*v**2 - 252*s wrt v. -2132*r*s*v**3 - 24*s*v Find the first derivative of -2*l**4 + 4*l**2 + 357 wrt l. -8*l**3 + 8*l
{ "pile_set_name": "DM Mathematics" }
*r + 12 = 0, -o*s - 10 = -0*s + r for s. -4 Let y be ((-10)/(-15))/((-6)/(-27) + 0). Suppose y*g - 5*g - 206 = 0. Let s = 121 + g. Solve -n + 7*q = 2*q + s, 3*q = -n + 6 for n. -3 Let r = 331 + -327. Let p(f) = -f**3 + 2*f**2 + 9*f - 2. Let i be p(r). Solve 3*j = q - 9 - 9, -4*q = 2*j - i for j. -5 Let x be ((-300)/(-20) + -15)/(-1). Solve -5*j - 4*m - 37 = x, 4*j + m = 6*j + 7 for j. -5 Suppose 3*z + 35 = 4*u, 0 = -u + z - 2*z. Suppose 0 = -u*f + 15, 4*s + 5 = 5*s + f. Solve -h - 4*g = -g - 1, -2*g = s*h + 6 for h. -5 Let b be 2/7 - 48/(-28). Suppose 0*s = -2*i + b*s + 22, 0 = 4*s + 4. Let h = -9047 - -9047. Solve h = 3*g + 15, k = 4*k - 2*g - i for k. 0 Suppose -67*m - 352 = -83*m. Solve 0 = -24*g + m*g + 5*i - 7, 2*i = 5*g - 14 for g. 4 Suppose 3*m - 14 = -4*b, b = m - 3*m + 6. Suppose 5*v = -4*d + 39, 415*v + 41 = 418*v - 2*d. Solve 2*z + 12 = -4*h - 0*z, 3*h + v = -b*z for h. -1 Let v = -55572 - -55575. Let j(a) = 2*a**2 - a**3 - 9*a**2 - 8 - 6*a + 2*a. Let d be j(-7). Solve -q + 4*c - 20 = 0, -q + d = -3*q + v*c for q. -4 Let c be 3*((-248)/(-24) + -4). Suppose 2*o = -14*s + c*s - 27, -4*s + 3*o = -16. Solve 0*i - 2*i - 4*x + 14 = 0, -5*i + 4*x = -s for i. 3 Suppose -39641*i + 39626*i = -75. Solve 0 = m - p, i*m - 9*p + 24 = -10*p for m. -4 Let d = 867 - 864. Suppose d*c = 12, -23*l - 4 = -28*l - c. Solve 3*m + 17 = -l*k + k, 0 = 4*m + 16 for k. 5 Let t(m) = 11 + 8*m**2 + m - 5*m + m**3 + 5*m. Suppose 5*z - 217 + 257 = 0. Let x be t(z). Solve 5*d - 3*o = -1 + x, -d + 2*o = -6 for d. -2 Let f be ((-6)/9)/((-242)/(-66)) + 57/11. Solve -12 = -p + 2*r, 3*p - 3*r - f = 16 for p. 2 Let q(m) = -5*m**2 - 316*m - 1182. Let b be q(-4). Let j be (8/(-10))/((-10)/25). Solve -j*o - b = 4*l, -4*l + 3*l + 3 = -3*o for l. 0 Let r be -1*-2*(-6 - 30/(-4)). Solve -c - r*z = 0, 102*z - 101*z = 4*c for c. 0 Suppose -126 = -12*b + 78. Solve -3*u = b - 29, j = -2*u + 13 for j. 5 Let r = -195 + 195. Suppose r = -4*h + 21*m - 24*m + 9, 3 = -h + m. Solve -4*c - 15 = -h*i - i, 5*i = 15 for c. -3 Suppose 25*h - 3*y = 23*h - 2, y = h. Solve 3*j + 5*p - h = 0, 3*p = -2*j - 5 + 7 for j. 4 Let a be ((-1)/(4/(-2)))/(7/98). Suppose 5*c + a = 22. Solve -4*i - 5*j = -30, -5*i = -6*i + 4*j - c for i. 5 Let r be (-2)/5 - 48/(-20). Let j = 1115 + -1055. Suppose 0 = -2*g + j - 4. Solve -2*u - k - r*k = -20, -4*k = 3*u - g for u. 4 Suppose 4 - 16 = -3*o. Suppose o*w = 3*k - 22, 3*k - 20 = 3*w - 2. Let q be (13/(104/40))/1. Solve k*f + m - 10 = 0, 0*f + 3*m - q = -f for f. 5 Suppose 1944*v - 1928*v = 208. Solve -2*a + 40 - 38 = 2*s, 4*s - v = 5*a for a. -1 Let i(t) = 2*t**2 + 53*t + 188. Let v be i(-23). Let j be 81/108*8/6 + v. Solve 2*d = 3*u - 4, -j - 8 = -5*u - 4*d for u. 4 Suppose 116 = -17*x + 167. Solve 0 = -8*u + 6*u + x*z, 0 = 2*z for u. 0 Let s = 7 - -94. Let m = 131 - s. Solve 2*u = 5*f + m, u = 2*f + 6*u - 17 for f. -4 Let n be -2*(-3)/(-30) + (-63)/(-15). Suppose 6*p = n*p + 26. Suppose 25 + 40 = p*g. Solve -5*v + s = -15, g*v - v - 3*s - 12 = 0 for v. 3 Let m = -24 - -28. Suppose s = -4*x - 76, -m*x - 4*s - 87 = 1. Let i be 5/1 + (-19 - x). Solve 15 = l - 4*l + 3*d, i*d - 12 = -4*l for l. -1 Suppose 13*l = 790 - 751. Solve g = l*m - 8, -4*m + 6*g + 29 = g for m. 1 Let o(g) = -24*g**2 - 7*g + 15. Let l be o(-3). Let q = l + 184. Solve 3*z + 2*z = -5*w - 15, 0 = q*z + 2*w + 6 for z. 0 Suppose -7*k - 377 - 365 = 0. Let i = k + 107. Solve -z - b = -7, -5*z = -7*b + 3*b + i for z. 3 Let t be -13*(-70)/91 + 2. Solve 9*k - t*k + 20 = -5*m, 5*m + 2*k = 5 for m. -1 Let b(n) = -n**3 + 6*n**2 + 7*n. Let v = 25 - 6. Let t = 26 - v. Let l be b(t). Solve -4*m = d + 21, -3*d + l*d - 3 = 0 for m. -5 Let h(u) = -2*u**3 - 176*u**2 - 173*u + 92. Let t be h(-87). Solve -4*c - 2 = t*g - 11, 2*g = -c + 3 for c. 1 Suppose -4*a + 3*d = -45 + 36, -4*a + 7 = -5*d. Solve 5*l - 2*r = 30, 3*r - 5 + 8 = -a*l for l. 4 Let w(m) = 6*m**3 + 199*m**2 + 34*m + 33. Let q be w(-33). Solve q = -s - 2, 0 = 2*v + v - 11*s - 13 for v. -3 Let s = 211 - 209. Suppose 0 = -r - 1, -5*a + 21 + 17 = s*r. Solve 5*p + 2 = 2*z - 2, 4*z - 3*p - a = 0 for z. 2 Let j = 261 + -258. Suppose 2*z - 51*m + 56*m - 14 = 0, 2*z + 3*m - 10 = 0. Solve -4*t + 20 = z*l, -4*l + 10 = -t + j*t for t. 5 Suppose -4*r - 6 + 16 + 6 = 0. Solve r*x + 21 = q + 24, 0 = -2*q + x + 1 for q. 1 Let h(z) = -805*z - 2411. Let u be h(-3). Solve 73*x + 3*r = 69*x - 4, 3*x - 4 = -u*r for x. -4 Let o be (5 + (-756)/154)*(6 + 3 - -2). Suppose -3*d + 11 = 5*s - s, 0 = 3*s + 2*d - 8. Let y = -21 + 34. Solve -s*t + 0*t - o = z, 2*t = 3*z - y for t. -2 Let q(s) = -2*s**3 + 29*s**2 + 13*s + 33. Let n be q(15). Suppose n*l = 6*l - 3*p - 27, 2*l = -5*p + 11. Solve -l*t + 4*t = k + 17, -t - 4*k - 23 = 0 for t. -3 Let o be (-1)/3 + -4 + 170/15. Let z(r) = r + 5. Let y(a) = -1. Let b(w) = 2*y(w) + z(w). Let n be b(-3). Solve -3*t - 5*h - 13 = n, -5*t + 5*h - 2 = -o for t. -1 Let u = 386 + -381. Suppose -35 = -k - 5*h, 0 = 8*k - 12*k + u*h + 40. Solve -4*b = 5*q - k, -q = -b + 11 - 5 for b. 5 Let v = 10658 - 10654. Solve 17 = 3*n - v*y, 5*y + 2 = n - 0 for n. 7 Suppose 2*t - 5*t = -12. Let p = 46 + -28. Let s = p + -13. Solve -3*i = -s*o, -5*i = t*o + o - 40 for o. 3 Let y(t) = 5*t**3 - t**2 - 2*t. Let a be y(-2). Let d be (56/10)/(6/45). Let k = a + d. Solve k*g - 3*g + 3 = -4*s, -2*g = s + 3 for g. -1 Let g = -40 - -42. Solve -g*d - 16 + 18 = -4*h, 0 = -4*h - d + 1 for h. 0 Let f(b) be the third derivative of -b**5/20 - 41*b**4/24 - 23*b**3/6 + b**2 - 34. Let l be f(-13). Solve 2*s + 4 = 0, 3*s - 1 = l*a - 10 for a. 1 Let y = -7175 - -7229. Solve -5*f + y = -2*l + 29, -2*l + 25 = 5*f for f. 5 Suppose 6 = 3*w + 29*w - 90. Solve 4*n + 2*b - 30 = 0, -30 = -5*n - w*b + 10 for n. 5 Let x = -67 - -80. Suppose x = 10*b - 7. Suppose -5*z - 24 = -b*l - 160, -3*l + 34 = z. Solve 5*s - z = -0*n + n, 0 = n + 3 for s. 5 Suppose -56*q = -49*q - 21. Suppose 5 = 2*a + i, 7*a - 5*i = q*a + 3. Solve y - f + 5 = a*y, 5*f = -2*y + 13 for y. 4 Suppose 85*g + 5246 - 5501 = 0. Solve 3*d + 9 = g*x, -22*x + 26*x - 10 = 3*d for x. 1 Let v = 2254 + -2236. Solve -4*f = 0, 0 = 5*o - 5*f + 2 + v for o. -4 Suppose -4*c + 0 - 1 = 3*k, 16 = 5*c - 2*k. Let y be (0 - 1 - -3) + 4 - c. Solve -3*v + 5*i = 22, -v + 2 - 14 = -y*i for v. -4 Let n(r) = -r**3 - r**2 - 60*r - 196. Let f be n(-3). Solve 2*k - 3*d + 10 = 0, -f*k + 0 - 10 = 2*d for k. -5 Suppose -15 = 5*p, -f + 30 = -5*p - 47. Suppose -z - f = -15. Let h = z - -50. Solve -3*g = 9, 0 = -t - 2*t - 5*g - h for t. 4 Suppose -10*z + 12*z = -12. Let c be (z - 448/(-77)) + 114/22. Suppose c*x + 3 = 6*x. Solve 9 = i + 4*m, -x = -i - 2*m + 4 for i. 5 Let t be ((-316)/6)/((-6)/9). Suppose 5*p + t = 94. Solve -3*w - q = -2, -2*w = -2*q + p + 1 for w. 0 Suppose -4*r - 12 = -7*r. Suppose t - 2*m = 85, r*t - 139 = m + 201. Let b be (6/(-5))/((-34)/t). Solve b*a = 3*y - 3, -a = -2*y + 2 - 1 for a. -1 Let h(b) be the first derivative of -b**2 - 21*b - 34. Let y be h(-10). Let g be y - -6 - (-24)/(-12). Solve -j = 2*d - g - 5, -5*d + 20 = 3*j for j. 0 Let b be 23/((-621)/5760)*-3. Let o = -636 + b. Solve 0 = o*l - 16, p = 2*l - 7*l + 21 for p. 1 Let x be (-28)/(-42)*3/5*20. Suppose -24 = -5*y + 1. Suppose 0*k - y*h + 20 = 5*k, 4*k = h + 41. Solve 3*q + k = -3*s + x*q, 2*s = 2*q - 6 for s. -3 Let n = -227 - -229. Let i be (-9 + n)/(-1) + 7 + -11. Solve 5*m - g + 2 = 0, -2*m + 2 + 4 = i*g for m. 0 Let i = 385 - 381. Suppose o - 6*o = i*h - 23, 10 = 5*h. Solve -2*f + 0 = o*j - 5, 10 = 2*j for f. -5 Suppose 0 = d + 4*g - 7, -5 - 4 = -4*d + 3*g. Suppose 5*x = 2*l + 3 - 12, 3*l - d = -3*x. Solve -l - 14 = 4*m, 2*c + 12 = -4*m for c. 2 Suppose 117*f - 862 = -511. Solve -f*u - c = 0, -12*u - 5*c = -8*u + 11 for u. 1 Let b(r) = 127*r - 352. Let s be b(3). Solve t - 26 = 3*p - 40, -s = 4*t - 3*p for t. -5 Let d(l) = -4*l**2 + 54*l - 25. Let o be (-26)/12*(-2 + -4). Let r be d(o). Solve -3*u - u - r = 5*z, 2*z = -3*u + 1 for u. 1 Let b be (68/(-10))/((-122)/610). Solve -q = 2*g + 4, 29*g - 28 = -2*q + b*g for q. 4 Let p(s) = 18*s**2 - 5*s - 4. Let b = -856 + 855. Let z be p(b). Solve -4*t + 3*f = -7, -2*t - 2*t - f + z = 0 for t. 4 Suppose 1226*w - 1223*w = 30. Let l(i) = 14*i - 121. Let p be l(w). Solve 2*g = -4*s - g - p, 5*g + 26 = -s for s. -1 Let c be 58/7 -
{ "pile_set_name": "DM Mathematics" }
rime factors of 4235203. 7, 313, 1933 List the prime factors of 414103. 17, 24359 List the prime factors of 56361. 3, 18787 What are the prime factors of 13617639? 3, 7, 47, 73 List the prime factors of 14149. 14149 List the prime factors of 6215922. 2, 3, 345329 List the prime factors of 19886462. 2, 653, 15227 List the prime factors of 174098. 2, 87049 List the prime factors of 10576818. 2, 3, 7, 3109 What are the prime factors of 13871423? 13871423 What are the prime factors of 5139041? 37, 138893 What are the prime factors of 1855204? 2, 13, 35677 What are the prime factors of 165576? 2, 3, 6899 What are the prime factors of 347290? 2, 5, 34729 List the prime factors of 1215989. 149, 8161 List the prime factors of 598209. 3, 199403 List the prime factors of 135205. 5, 7, 3863 List the prime factors of 68892. 2, 3, 5741 List the prime factors of 1190511. 3, 7, 6299 What are the prime factors of 1040480? 2, 5, 7, 929 List the prime factors of 17973307. 11, 53, 30829 What are the prime factors of 550206? 2, 3, 23, 443 List the prime factors of 68931. 3, 23, 37 List the prime factors of 1019292. 2, 3, 29, 101 What are the prime factors of 1105097? 7, 19, 1187 What are the prime factors of 17268024? 2, 3, 521, 1381 What are the prime factors of 201753? 3, 29, 773 What are the prime factors of 16441883? 839, 19597 What are the prime factors of 333271? 333271 List the prime factors of 23520017. 23520017 What are the prime factors of 389343? 3, 233, 557 What are the prime factors of 3389381? 3389381 What are the prime factors of 877549? 211, 4159 List the prime factors of 30902. 2, 15451 List the prime factors of 6825597. 3, 2275199 What are the prime factors of 4647658? 2, 97, 23957 What are the prime factors of 200642? 2, 13, 7717 What are the prime factors of 118836? 2, 3, 3301 List the prime factors of 1583886. 2, 3, 277, 953 What are the prime factors of 1881322? 2, 17, 55333 What are the prime factors of 15961347? 3, 591161 What are the prime factors of 10481140? 2, 5, 524057 List the prime factors of 344191. 491, 701 List the prime factors of 63069. 3, 21023 What are the prime factors of 300946? 2, 150473 List the prime factors of 1935302. 2, 19, 50929 List the prime factors of 3250697. 29, 197, 569 What are the prime factors of 326319? 3, 7, 41, 379 What are the prime factors of 405614? 2, 11, 103, 179 List the prime factors of 1025747. 1025747 What are the prime factors of 4449264? 2, 3, 92693 List the prime factors of 1920192. 2, 3, 73, 137 What are the prime factors of 18714954? 2, 3, 1019, 3061 What are the prime factors of 3636366? 2, 3, 331, 1831 What are the prime factors of 979490? 2, 5, 41, 2389 List the prime factors of 489328. 2, 7, 17, 257 What are the prime factors of 5238258? 2, 3, 873043 What are the prime factors of 835611? 3, 7, 39791 What are the prime factors of 16808080? 2, 5, 210101 List the prime factors of 772150. 2, 5, 15443 What are the prime factors of 268230? 2, 3, 5, 8941 What are the prime factors of 601605? 3, 5, 29, 461 List the prime factors of 340265. 5, 68053 What are the prime factors of 1396796? 2, 349199 List the prime factors of 588216. 2, 3, 24509 List the prime factors of 2674072. 2, 23, 14533 List the prime factors of 1936804. 2, 484201 List the prime factors of 1290247. 7, 184321 List the prime factors of 7407685. 5, 1481537 What are the prime factors of 41965486? 2, 17, 347, 3557 List the prime factors of 1377156. 2, 3, 11, 10433 List the prime factors of 3222996. 2, 3, 7, 17, 37, 61 List the prime factors of 1164579. 3, 13, 2297 What are the prime factors of 1988228? 2, 11, 73, 619 List the prime factors of 131138. 2, 7, 17, 19, 29 List the prime factors of 4040486. 2, 2020243 List the prime factors of 566131. 566131 What are the prime factors of 2355660? 2, 3, 5, 23, 569 List the prime factors of 1216749. 3, 239, 1697 What are the prime factors of 105224? 2, 7, 1879 What are the prime factors of 2104778? 2, 13, 80953 What are the prime factors of 2154259? 2154259 What are the prime factors of 1459341? 3, 13, 12473 What are the prime factors of 9617560? 2, 5, 29, 8291 List the prime factors of 329092. 2, 29, 2837 List the prime factors of 8652290. 2, 5, 293, 2953 What are the prime factors of 184281? 3, 19, 53, 61 What are the prime factors of 632589? 3, 37, 41, 139 What are the prime factors of 725385? 3, 5, 37, 1307 What are the prime factors of 2197691? 59, 193 What are the prime factors of 1960481? 1960481 What are the prime factors of 12096818? 2, 6048409 List the prime factors of 2179869. 3, 726623 List the prime factors of 4855448. 2, 13, 46687 List the prime factors of 29918. 2, 7, 2137 List the prime factors of 718758. 2, 3, 73, 547 What are the prime factors of 5496357? 3, 1832119 What are the prime factors of 1169403? 3, 107, 3643 What are the prime factors of 9253465? 5, 13, 29, 4909 What are the prime factors of 797934? 2, 3, 132989 List the prime factors of 1849142. 2, 227, 4073 What are the prime factors of 14236858? 2, 199, 35771 List the prime factors of 42323053. 42323053 What are the prime factors of 677935? 5, 41, 3307 List the prime factors of 2254076. 2, 11, 51229 List the prime factors of 132229. 132229 What are the prime factors of 219529? 219529 List the prime factors of 1066560. 2, 3, 5, 11, 101 List the prime factors of 18721135. 5, 3744227 What are the prime factors of 197470? 2, 5, 7, 13, 31 List the prime factors of 351433. 457, 769 What are the prime factors of 890955? 3, 5, 13, 1523 What are the prime factors of 5192451? 3, 11, 17483 What are the prime factors of 2321345? 5, 13, 71, 503 What are the prime factors of 481376? 2, 7, 307 What are the prime factors of 1709308? 2, 427327 What are the prime factors of 116235? 3, 5, 7, 41 What are the prime factors of 322509? 3, 11, 29, 337 List the prime factors of 190312. 2, 23789 What are the prime factors of 582526? 2, 7, 41609 What are the prime factors of 478152? 2, 3, 29, 229 List the prime factors of 1001619. 3, 37097 List the prime factors of 590562. 2, 3, 7, 43, 109 What are the prime factors of 102915? 3, 5, 2287 What are the prime factors of 187197? 3, 23, 2713 List the prime factors of 8065366. 2, 4032683 What are the prime factors of 1476434? 2, 738217 What are the prime factors of 19556? 2, 4889 List the prime factors of 516205. 5, 17, 6073 List the prime factors of 7587646. 2, 11, 344893 What are the prime factors of 232987? 232987 What are the prime factors of 160339? 109, 1471 List the prime factors of 187558. 2, 7, 13397 What are the prime factors of 1590404? 2, 23, 59, 293 What are the prime factors of 613463? 613463 List the prime factors of 74546. 2, 37273 What are the prime factors of 7785997? 7785997 What are the prime factors of 591095? 5, 118219 List the prime factors of 1950556. 2, 337, 1447 What are the prime factors of 330492? 2, 3, 27541 List the prime factors of 441554. 2, 23, 29, 331 What are the prime factors of 14864? 2, 929 What are the prime factors of 118612? 2, 13, 2281 What are the prime factors of 196224? 2, 3, 7, 73 What are the prime factors of 70010? 2, 5, 7001 What are the prime factors of 1315588? 2, 328897 What are the prime factors of 1152867? 3, 384289 What are the prime factors of 1139800? 2, 5, 41, 139 List the prime factors of 3693846. 2, 3, 13, 23, 29, 71 What are the prime factors of 114048? 2, 3, 11 List the prime factors of 6980864. 2, 11, 37, 67 List the prime factors of 3990611. 101, 39511 What are the prime factors of 1134161? 7, 29, 37, 151 What are the prime factors of 40273926? 2, 3, 7, 11, 179, 487 List the prime factors of 3807144. 2, 3, 11, 19, 23 List the prime factors of 372943. 372943 List the prime factors of 24494025. 3, 5, 17, 19211 What are the prime factors of 964700? 2, 5, 11, 877 List the prime factors of 1273308. 2, 3, 106109 What are the prime factors of 4029131? 4029131 What are the prime factors of 109108? 2, 27277 List the prime factors of 918004. 2, 19, 47, 257 List the prime factors of 1517337. 3, 53, 3181 What are the prime factors of 1185878? 2, 592939 What are the prime factors of 265224? 2, 3, 43, 257 What are the prime factors of 281315? 5, 56263 What are the prime factors of 863344? 2, 53959 What are the prime factors of 5498774? 2,
{ "pile_set_name": "DM Mathematics" }
.556. Let f = -0.247 - m. Let u = -3.083 - f. What is the biggest value in -1, 0.5, u? 0.5 Suppose -5*a + 2 = -3*r + r, 5*r - 2*a + 5 = 0. Let i be r/(-3) - 2/10. Let j = -22.565 - -17.565. What is the biggest value in 0, j, i? i Let k = -25 + 20. Suppose 2*f = -10, 3*r - 10*f = -6*f + 17. Which is the biggest value? (a) r (b) 2 (c) 0.2 (d) k b Let l = -2.542 + 2.742. Which is the third biggest value? (a) -4 (b) 0 (c) 1.5 (d) l b Suppose -28 = -4248*w + 4262*w. Which is the third biggest value? (a) w (b) -581 (c) 5 b Let z = 0.4 - -0.1. Let r = -170710 + 170714. Which is the fourth biggest value? (a) 0 (b) -2/71 (c) z (d) r b Let d = -56 - -58. Let k = d + -7/3. Which is the smallest value? (a) -0.2 (b) 1.3 (c) k c Let t be (-2 - -23)*(-4)/3. Let j be ((-2)/t)/((-2)/4). Suppose -3*p = p - 311 + 299. Which is the third smallest value? (a) 0.5 (b) p (c) -0.1 (d) j a Let q = 192 + -191.5. Let o = 6.5 - 2.6. Let b = -0.1 - o. What is the biggest value in -0.1, q, -3, b? q Let z(m) = -m**2 + 27*m - 95. Let n be z(23). Which is the fourth biggest value? (a) n (b) 0.6 (c) -0.22 (d) -2 (e) 3/7 d Let o = 12840.8 + -12841. What is the biggest value in -1, 29, o? 29 Let s = -7447 - -7442. What is the fourth biggest value in -0.3, s, -2/67, 4? s Suppose -15*i + 20*i + 2*f - 24 = 0, 3*i - f - 21 = 0. Let c be (-189)/(-216)*i/21. What is the biggest value in c, 0, -8, -6? c Let w = 75027.4 + -75025. Let r = -5.7 + -0.3. What is the second smallest value in 3, r, w? w Let u = 339.1 + -346.1. Which is the second biggest value? (a) -3/10 (b) 9 (c) u a Let n = 57049 - 57052. Let k = 0 + 0. Let v = k - -0.5. Which is the smallest value? (a) 2 (b) n (c) v (d) 9 b Let y = 251 - -6. Let x = 252 - y. What is the third biggest value in -9, x, -3? -9 Let y = -2.3 - -5.3. Let v = -75.002 + 0.002. Let j = v - -75.5. What is the fourth biggest value in y, 2, j, -2? -2 Let y = -4.01 - -1.83. Let s = y + -2.82. Which is the second biggest value? (a) -1/49 (b) s (c) -2/7 c Let o = 3829 + -3829.3. What is the biggest value in 1, -5, o, -1/3, 3/5? 1 Let b(f) = 18*f**2 - 702*f - 1400. Let d be b(-2). What is the biggest value in d, 3/2, 62? d Let i = 8.97 - 6.97. What is the biggest value in i, -0.192, -3, 0.3, 1? i Let s = 20947/5 + -4189. Which is the fourth biggest value? (a) -2 (b) s (c) -0.5 (d) -11 d Let g = 0.2 + -0.16. Let j = -39747/5 - -7949. Which is the second biggest value? (a) g (b) j (c) -4 b Let m be ((-1)/(-10) + 6/(-10))*(-16)/52. Which is the biggest value? (a) -4 (b) -0.1 (c) m (d) -5 c Suppose 28 = 3*p + i - 93, -4*p - i + 163 = 0. Let y(w) = 2*w**3 - 6*w**2 + 5. Let l be y(4). Let g = l - p. What is the third biggest value in g, -3/4, -1? g Let d be (300/48 - 3)*6/13. What is the third biggest value in d, 1, -15/4, 2/15? 2/15 Let h = -618.7 + 613.7. What is the second biggest value in -2/3, 2, 117/7, h? 2 Let m = 3.5 - -0.5. Let c = -368.98 + -7.02. Let h = -376.6 - c. What is the third biggest value in 0.1, h, m, -2/3? h Let d = -19.2099 + 0.2099. Let u be 1 + -4 - 91/(-3). Let t = -27 + u. Which is the third smallest value? (a) -0.3 (b) d (c) t c Let g = 177.2 - 177. Let y = -146 + 1024/7. What is the biggest value in -3/2, g, 1, y? 1 Let r = -41901 - -41902. Which is the third smallest value? (a) -2/17 (b) -0.03 (c) 2 (d) r d Let g = 12163/8 + -1520. Let z = -0.03 - -4.03. Let q = 31 + -31.4. Which is the biggest value? (a) q (b) z (c) g b Let a = -132 + 259/2. Let w = -0.047 + -36.453. Let b = 37 + w. What is the third smallest value in a, b, 0.3? b Let i = -5718 + 5715.4. Which is the second smallest value? (a) 1/9 (b) i (c) 7 (d) -3/7 d Let t = 15128.2 + -15128. Which is the fifth biggest value? (a) -0.39 (b) -3 (c) -1/32 (d) 5 (e) t b Let q = -2.7 - -21.1. Let o = 13.7 - -4.3. Let z = o - q. What is the smallest value in 0.2, -13, z, -3? -13 Let s = 258 + -147. Let z = 106 - s. Which is the second smallest value? (a) 0 (b) -6 (c) z c Let y = 0.0769 + -0.2769. Let b = 465 - 463. What is the fourth biggest value in y, -149, b, 5? -149 Let x(w) = -2*w**2 - 13*w + 29. Let f be x(-8). Let t = 0.16 - 0.19. Let m = -0.43 - t. Which is the third biggest value? (a) m (b) -1/5 (c) f a Let g be -3*((-195)/(-9) + 0). Let u = 233999/9 - 26000. Which is the second biggest value? (a) u (b) g (c) 2 a Let i = -18.8 - -25. Let c = 11.2 - i. What is the smallest value in 0, 1, c? 0 Let p = 43.7 - 44.1. Let w be (9/(-6))/(66/8). Which is the smallest value? (a) -3/26 (b) w (c) 0.3 (d) p d Suppose -19*t + 40 = -9*t. Let a be ((-104)/(-65))/(t/5). What is the second smallest value in -2, 9, a? a Let k = -0.2 - 0.7. Let n = 214.468 - 0.468. Let q = n - 213.9. What is the third biggest value in k, q, -0.5? k Let x = 1160 - 5801/5. Which is the biggest value? (a) 0.1 (b) 3 (c) -0.09 (d) 1/5 (e) x b Let m = -7894 + 7893.4. What is the third smallest value in 0.4, -0.3, 4/15, 3, m? 4/15 Let g = 6 - 2. Let s = -0.04513 - 0.95487. Let z be ((-3)/(-30))/(4/8). What is the third smallest value in s, -3/5, z, g? z Let h be 6*(5*(1 - 2) + (-15620)/(-3135)). Which is the second smallest value? (a) h (b) -1 (c) 4/5 (d) -2/13 d Let t = 2251/4 - 5629/10. Which is the second smallest value? (a) t (b) 3 (c) -0.05 (d) -1/2 a Let j = -1 + 0.95. Let f = 4.05 + j. Suppose 0 = -6*t - 88 + 61 + 57. Which is the third smallest value? (a) f (b) t (c) 1 b Let t = 1258 + -8807/7. Which is the third smallest value? (a) t (b) 2/11 (c) -0.2 (d) -4 a Suppose -3*r = -5*v + 41, -3*v - 520*r = -518*r - 17. Suppose -4*x = x - 15. Let n be (-4)/22 + (x - 3). Which is the smallest value? (a) 4 (b) n (c) v b Let l = 35 + 76. Let s = -84 + l. What is the third biggest value in 3/5, s, -0.5? -0.5 Let u = -449.534 - -449.754. Let w = -0.8 - -5.8. What is the third smallest value in u, w, 0.4? w Let q = -267 - -263. Let u = -0.42 + 0.382. Let t = u - 0.962. Which is the third smallest value? (a) 0.2 (b) 3 (c) t (d) q a Let u be 1/5 + -1 + 0. Let o = -13.97 + 13.6. Let x = o + -2.63. What is the third biggest value in x, -3/4, -1/4, u? u Let z = 7.948 - 8. Suppose 45*g - 64 = -63*g + 44. Which is the third smallest value? (a) 0.2 (b) z (c) g c Let y = 4/61 + 102/305. What is the smallest value in -1, 5, -3/4, -0.029, y? -1 Let j be 3546/90*(-2653559)/85. Let a = j - -1230005. Let x = a + -56/25. What is the biggest value in -5, x, -2/9? x Let g = -5159.1 - -5159. Which is the third biggest value? (a) 1/2 (b) g (c) -2 (d) 1 (e) -1/2 b Suppose 39*p = -535 + 2797. What is the second smallest value in p, 9/7, -3? 9/7 Let b = -0.682 + 85.682. Let t = -84.5 + b. What is the second biggest value in t, 1, 4, 0.2? 1 Suppose 190 + 38 = -4*t. Suppose 87 = 16*n - 73. Let x be 6/n*(-38)/t. What is the third smallest value in x, -2/7, 1/5? x Let q = 7370 - 22115/3. Which is the second biggest value? (a) q (b) 902/5 (c) 0 c Let h = -3873 - -3869. What is the third smallest value in 2, h, 4, 17/29? 2 Let q be (-4 - 75/(-20))/(17/(-102)). Which is the second biggest value? (a) q (b) 21 (c) 0.06 a Let h = 72.6 + -72.7. Let t = 6 - 5. Which is the second smallest value? (a) h (b) 3/8 (c) t (d) -0.5 a Let g = 3.4 - 3.7. Let m be 1269/6*(-12)/102. Let h = -25 - m. What is the third smallest value in h, -3/2, g, -5/4? g Let y = -197 - 618. Let n = y - -815.1. Which is the third biggest value? (a) -53 (b) -4 (c) n a Let u = 0.0067 - -0.0933. Suppose w = 5*w - 36. Suppose -11 = -4*p + w. Which is the second biggest value? (a) u (b) p (c) 1/7 c Let l = 2 + -3. Let u = 1.90908 + -1.80908. Which is the fourth smallest value? (a) -13/4 (b) 0 (c) l (d) u d Let l = 320 + -139. Let g = -178 + l. Let k = 47 + -47.3. What is the third smallest value in -5, g, -5/2, k? k Suppose 0 = -329*t + 325*t - 52. Let w be t - (5 + (-13)/1). Which is the second smallest value? (a) -0.02 (b) w (c) -0.1 (d) -1/4 d Let k be (((-1)/3)/1)/(-15 + (-248)/(-16)). What is the fifth biggest value in k, 15, -0.1, -1/3, -4? -4 Let y be -1 + -4 - (0 + 0). Let w = 29.69 - 289.29. Let s = -260 - w. Which is the fourth biggest value? (a) 1/12 (b) s (c) -4 (d) y d Let y = -72.2 + 72.6. Let k = 198 + -202. What is the fourth sma
{ "pile_set_name": "DM Mathematics" }
+ -1bb? 8 In base 10, what is -8794 - 7? -8801 In base 13, what is -3c0 - -60? -360 In base 16, what is -7 - 46728? -4672f In base 14, what is -31b2d + -4? -31b33 In base 15, what is 286d4 + -3? 286d1 In base 7, what is 403341 - -3? 403344 In base 2, what is -10011 - -10010100010? 10010001111 In base 11, what is -266 - -14? -252 In base 7, what is -1641 + -2? -1643 In base 9, what is -24 - -6682? 6657 In base 2, what is -100 + -1101101110101011? -1101101110101111 In base 14, what is -a40c - -1b? -a3d1 In base 9, what is -48344 - -5? -48338 In base 4, what is 3 - -1002001113? 1002001122 In base 9, what is -3172 - 110? -3282 In base 4, what is -10 + 13220? 13210 In base 8, what is 4 + 771175? 771201 In base 12, what is -ba - 73b4? -74b2 In base 12, what is -1b - 2a955? -2a974 In base 14, what is -18d29c + -5? -18d2a3 In base 7, what is -213 + 52? -131 In base 4, what is 221031020 - 0? 221031020 In base 13, what is -a051 + -7? -a058 In base 7, what is -4 + -4502125? -4502132 In base 6, what is 10 - 42512? -42502 In base 6, what is 4 + 11400045? 11400053 In base 13, what is -3 + -2087a? -20880 In base 16, what is -2 + -426d3? -426d5 In base 5, what is -4 + 24344403? 24344344 In base 6, what is 2532 + 322? 3254 In base 13, what is 2 + -91c6? -91c4 In base 13, what is 4 - 33281? -3327a In base 9, what is -245 - 2701? -3046 In base 4, what is -132 + 11021002? 11020210 In base 10, what is 15 - -1488? 1503 In base 15, what is 465ebc - 0? 465ebc In base 6, what is 20555 - -45? 21044 In base 4, what is 30 - 32312? -32222 In base 16, what is 29af - -18? 29c7 In base 3, what is 1020002112 - 120? 1020001222 In base 15, what is -5c96 - 5? -5c9b In base 7, what is 5 + 13150564? 13150602 In base 11, what is -1 + a506? a505 In base 7, what is -4 - 162414? -162421 In base 13, what is -186 + 810? 657 In base 4, what is -10 + -1133010112? -1133010122 In base 6, what is 323 + -2355? -2032 In base 2, what is 10001 + -110000000001110111? -110000000001100110 In base 14, what is 170549 + 5? 170550 In base 14, what is -660 + -4? -664 In base 14, what is -2b25 + 9? -2b1a In base 10, what is 107737 + 71? 107808 In base 15, what is 407 - -87? 48e In base 9, what is -213602 - 4? -213606 In base 6, what is -1 - -3051312? 3051311 In base 4, what is 23 - -222? 311 In base 11, what is 3867 - 5? 3862 In base 4, what is 233200 - -1? 233201 In base 8, what is 5511 + -2? 5507 In base 7, what is -26516 - -141? -26345 In base 8, what is 43 - 5376? -5333 In base 12, what is -59840 - 0? -59840 In base 9, what is 335 + -523? -177 In base 14, what is 8 - -852? 85a In base 7, what is 31116404 - -1? 31116405 In base 5, what is -232 - 120342? -121124 In base 14, what is -bb - -18? -a3 In base 10, what is -40 - -43337? 43297 In base 14, what is -17 + 87d1? 87b8 In base 6, what is -5 - -101535? 101530 In base 15, what is -7 - -c03? beb In base 12, what is 4 - -729b0? 729b4 In base 9, what is 1524 - 383? 1131 In base 10, what is -422 - -2050? 1628 In base 4, what is -1032101 - -21110? -1010331 In base 13, what is cb7 + 18a? 1174 In base 4, what is 11321032 - 30? 11321002 In base 4, what is 101 + -1110130? -1110023 In base 7, what is -1234 - -5466? 4232 In base 15, what is -54 + -bc7? -c2b In base 11, what is -277461 + 3? -277459 In base 5, what is -123231 - 33? -123314 In base 4, what is -1000 + -221010? -222010 In base 12, what is -10 + 788? 778 In base 7, what is 10 + 6115? 6125 In base 13, what is -103 + 17? -b9 In base 12, what is 80325 - 9? 80318 In base 3, what is 12011111 - -2? 12011120 In base 3, what is 2 + 211111121011? 211111121020 In base 5, what is 220 + 34432? 40202 In base 4, what is 2 - 3113333? -3113331 In base 15, what is -24a + -101? -34b In base 11, what is -160 - -997? 837 In base 12, what is 786a0 + 0? 786a0 In base 4, what is -21 - -2323112? 2323031 In base 10, what is 238 - -347? 585 In base 15, what is b046a - -1? b046b In base 4, what is 132320 - 32? 132222 In base 10, what is 1109 + 22? 1131 In base 9, what is 13 + 78610? 78623 In base 13, what is -1754 + -17? -176b In base 16, what is 15 - 2ba? -2a5 In base 16, what is -1bfb32 + -4? -1bfb36 In base 6, what is -3255 + 33? -3222 In base 15, what is 71 - 1d4? -163 In base 11, what is -2a63 - 5? -2a68 In base 9, what is 1 - 206112? -206111 In base 7, what is 101 - -30666? 31100 In base 16, what is -a + -1d3c? -1d46 In base 8, what is -1670 - -310? -1360 In base 14, what is -5 + 49c78? 49c73 In base 15, what is -7548 + 3? -7545 In base 15, what is -712a - -4? -7126 In base 7, what is 5 - 404402? -404364 In base 2, what is 100100111001110001100 - -1? 100100111001110001101 In base 16, what is -362319 - 2? -36231b In base 8, what is -22617 + 10? -22607 In base 10, what is 3 - -32093? 32096 In base 12, what is -31b42 + 3? -31b3b In base 3, what is 20220 + 12000? 102220 In base 12, what is -3 - -19169? 19166 In base 4, what is -2 + -3020233313? -3020233321 In base 12, what is a - -16b67? 16b75 In base 5, what is -10 + 134403? 134343 In base 14, what is -65 + -d7? -15c In base 10, what is -161 - 4667? -4828 In base 7, what is 142 + 355? 530 In base 14, what is 684b - -6? 6853 In base 15, what is -9073 + b? -9067 In base 14, what is 3 - 30bb6? -30bb3 In base 16, what is -4 - -3876? 3872 In base 15, what is 1 - da39? -da38 In base 13, what is 73c898 - -3? 73c89b In base 11, what is -3 - 388a? -3892 In base 6, what is -54025 - -2? -54023 In base 2, what is 0 - -1000101000100001100? 1000101000100001100 In base 12, what is 33 + -521? -4aa In base 5, what is -2 + -243420? -243422 In base 3, what is 211111 - -200? 212011 In base 12, what is -264 - -188? -98 In base 15, what is 44 - -c2b? c70 In base 8, what is -104 + 65110? 65004 In base 6, what is -45024324 + 1? -45024323 In base 8, what is 14511731 + 0? 14511731 In base 3, what is 102220 + 2122112? 10002102 In base 12, what is -23 - -165? 142 In base 13, what is 3 - a41aa? -a41a7 In base 14, what is -3 + -16388? -1638b In base 10, what is -43 - -294? 251 In base 7, what is 330546 + 2? 330551 In base 2, what is 10 + -100111011011000? -100111011010110 In base 10, what is -5913 - -199? -5714 In base 6, what is -2 - 144431? -144433 In base 7, what is -124031 + 0? -124031 In base 13, what is -cb73 - 41? -cbb4 In base 3, what is 220021 + -10212201? -2222110 In base 3, what is 2 + -21112011? -21112002 In base 3, what is -12 - 12001101? -12001120 In base 10, what is 979 - -94? 1073 In base 5, what is -10 - -22322? 22312 In base 14, what is 2d - -4b49? 4b78 In base 15, what is 24 + -1e1dd? -1e1b9 In base 11, what is -1a7 + 10959? 10762 In base 9, what is -1457665 + -4? -1457670 In base 8, what is -4 - 405247? -405253 In base 3, what is -1 + -101220212? -101220220 In base 6, what is -533 - -42? -451 In base 4, what is -103332 - -3? -103323 In base 9, what is 5061 + -27? 5033 In base 7, what is 4 - 50251? -50244 In base 8, what is -505 + 2117? 1412 In base 5, what is 1320213423 - -10? 1320213433 In base 4, what is -203223 - 11221? -221110 In base 3, what is 111 - 201211210? -201211022 In base 16, what is -1a34 + 1? -1a33 In base 7, what is -3552 + -1006? -4561 In base 3, what is 2 - -1111120221? 1111121000 In base 16, what is 621f - -b? 622a In base 9, what is 1 + -180481? -180480 In base 10, what is 3768 + -18? 3750 In base 11, what is -306a + 314? -2856 In base 13, what is -13 + -a14b? -a161 In base 16, what is 10 - 20c6? -20b6 In base 4, what is 10033 - 1023? 3010 In base 8, what is 41275 + 64? 41361 In base 12, what is -64 + 640? 598 In base 7, what is -445540 + 5? -445532 In base 9, what is -4 + 2734418? 2734414 In base 6, what is 5 - 305154? -305145 In base 12, what is -268b4a - 3? -268b51 In base 6, what is 1051053 - -4? 1051101 In base 15, what is -2260 - -14? -224b In base 2, what is 101100100000 + -1000001100? 100100010100 In base 10, what is 90033 - -8? 90041 In base 9, what is -76425 - 7? -76433 In base 3, what is 10 + -1012211012? -1012211002 In base 10, what is -3 + 95148? 95145 In base 3, what is -11 + -1111111111211? -1111111111222 In base 3, what is -120121 - -21011? -22110 In base 15, what is 3 + -342e? -342b In base 6, what is 150014441 + -2? 150014435 In base 7, what is -1050442 + -4? -1050446 In base 2, what is -1011001100 + 1010100111? -100101 In base 5, what is 202
{ "pile_set_name": "DM Mathematics" }
14233/205) Simplify (((f*f*f/(f/f**1)*f)/(f**(-3)*f))/(f**(-4)/(((f/((f*f/f**(1/2))/f)*f)/f)/f)))/(f**(-1)*f**(-2))**(-38) assuming f is positive. f**(-209/2) Simplify (((c**(2/111)*c)/(c*c**32/c*c))**(-2/17))**(-4/37) assuming c is positive. c**(-28400/69819) Simplify (v*v/v**(1/39)*v*v**1*v)/(v*v/(v*v**(1/15))*v/(v**11/v)) assuming v is positive. v**(2543/195) Simplify ((s/s**(-4))**(3/17))**36*(((s/(((s*s/s**(-1/5))/s)/s))/s)/s**2)**18 assuming s is positive. s**(-666/85) Simplify (x**7*x*x*x/(x**(2/25)*x))/((x*x*x/x**(-1/25)*x)/x**2) assuming x is positive. x**(172/25) Simplify ((o/(o*(o**(-1/7)/o)/o))/o**(-3)*(o/(o/(o**(-1/3)*o*o)))**(-14))/((o*o**(2/9)/o*o)/o**(3/2))**(3/4) assuming o is positive. o**(-1007/56) Simplify ((i/(i*i*i/(i*i*i**(-1)))*i)**(3/31))**(-2/53)/((i**(-8/7)*i)/i*i**(-2/9)/i)**(-25) assuming i is positive. i**(-3725/63) Simplify (((i**1)**(-2/31)/(i*i/((i*i**(1/2))/i)*i/i**(2/9)))**49)**(-36) assuming i is positive. i**(128086/31) Simplify ((l/(l**7*l))**(-15)/(l**(-16/7)*l**(-23)))**(3/5) assuming l is positive. l**(2736/35) Simplify ((r**(-1/7)/((r/((r*r*r**2)/r))/r*r))/(r**(-1/5)*r**(-6)))/(r*r**2*(r*r**2)/r*r**(-1/4)*r/r**(2/3)) assuming r is positive. r**(1249/420) Simplify ((x/(x*x**9)*x)/(x/x**(-1/20)))**(2/9)*((x/(x*x**0)*x*x)**(1/12))**(5/6) assuming x is positive. x**(-337/180) Simplify (b/(b/b**(-2/3))*b**(2/13)*b*(b**(-1))**(-12))/(((b*b**(-4/9))/b**0)/(b**1*b**(-2))) assuming b is positive. b**(1279/117) Simplify ((m**(-1/2)*m*m)**(-1/2)*(m/m**(-1/2))/(m**(-6)*m))/((m/m**(-1/9))/m**(-4/5)*m*m*m**(-3)*m*m**(-2)) assuming m is positive. m**(1051/180) Simplify (t**4/(t*t**3))/(t/t**1)**(-2/25)*((t*t**(-13))/(t*t/t**(-7)*t))**31 assuming t is positive. t**(-682) Simplify ((i/i**(-9))/(i/(i**(-2)*i)))**(-2/23)*((i/i**(-3/4))/(i**(3/8)*i))/((i**(2/5)/i*i)/i)**(-6/13) assuming i is positive. i**(-7147/11960) Simplify ((z**(-1/2)*z/(z**6*z))/(z*(z*z*z**(2/3))/z)**45)/((z*z**1)**(-1/35)/(z**(-4)/((z/(z*z*z*z**(3/2)))/z*z*z))) assuming z is positive. z**(-4478/35) Simplify (((l/(l**9*l)*l)/l)/l*(l/l**(1/15))/l)**(-48)/((((l**(-2/5)/l)/l)/l)**(1/36)*l**2*l**(-4/3)) assuming l is positive. l**(86873/180) Simplify (((b**(1/4))**(-8)/(b**(-1/2)/((b*b**(-6/11))/b)))**(-31))**16 assuming b is positive. b**(11160/11) Simplify ((k*k/k**2*k)**(11/3)*(k**1*k)**(-41))/((k**2/k**(1/13))/(k**(-7)/k*k/(k/(k/((k*k*k*k**(-1/4)/k*k)/k)*k)*k))) assuming k is positive. k**(-13885/156) Simplify ((((s*(s/(s*s**(1/14)))/s)/s**(2/5))**(-29))**(3/2))**26 assuming s is positive. s**(37323/70) Simplify ((d/d**2)**(-5/4)/(d**(5/2)*(d*d*d**(3/4))/d))/((d/(d*d**(-2)))**(4/3)/(d**(-4)*d**2)) assuming d is positive. d**(-23/3) Simplify ((u**(-14)/(u/u**18))/(u**(-15)/(((u/(u**(7/2)*u))/u)/u)))**(11/4) assuming u is positive. u**(275/8) Simplify (m/(m/m**9)*m*m**(1/16)*m*m*m/(m*m*m**(2/63))*m*m*((m**(-20)*m)/m)/m)**(1/12) assuming m is positive. m**(-8033/12096) Simplify (v**(3/5)/(v*v*v**(-2/9)))/(v**5*v**(-2/5)*v)*((v**(-7)/v)/(v*v/v**7*v))/((v*v**(3/7)*v*v)/v**1) assuming v is positive. v**(-832/63) Simplify ((d**2/d**(-3))/(d*d**(2/7)*d*d*d*d**(1/4)))/((d**(-1))**32/(d**1)**(-26/5)) assuming d is positive. d**(3817/140) Simplify (((r/(r/r**4))/r**(2/23))/((r/((r*r/r**2)/r))/r)**(-3/7))**42 assuming r is positive. r**(4194/23) Simplify ((x*(x*x**(-5/6)*x*x*x)/x*x)/x**(2/35))**(3/2)/((x*x**(-4))/x*x*x*(x*x/((x/(x/(x**8/x)))/x)*x)/x*x*x**(6/11)/(x*x**(-1/9))) assuming x is positive. x**(159497/13860) Simplify ((s**(-1))**(-42)*s/s**(4/3)*(s/((s*s**(2/17))/s))/s)/((s**(2/3)/s)/((s*s**(-5))/s*s))**(3/2) assuming s is positive. s**(3677/102) Simplify ((((s**(2/9)*s)**22)**(3/14))**(2/17))**(-3/19) assuming s is positive. s**(-242/2261) Simplify (((r*r**(-1/2)/r)**(-2/29)/(((r/((r/(r/r**0))/r*r))/r)/r**(-1/11)))**(-14/13))**16 assuming r is positive. r**(4032/4147) Simplify ((u**(-5)/u*u*u*u**(1/5)*u*u**5/(u**(-1/2)/u))**(-5/4))**45 assuming u is positive. u**(-1665/8) Simplify ((i/i**(3/7))**(-1/84)*(i/((i/((i*i**3)/i))/i))**(-13))**(-3/4) assuming i is positive. i**(7645/196) Simplify (v*v**(-1)*v**(7/3))**(-20)/(((v*v**(2/7))/v)**47)**(-5/4) assuming v is positive. v**(-1255/42) Simplify x/(x**(-1/3)/x)*x*x**1*x*x/x**(3/7)*x*x*x*(x**(-7)/x)/x*(x**(2/3)/((x/(x*x**3))/x))/(x*((x/(x*x**0))/x)/x*x)**(-2/15) assuming x is positive. x**(32/7) Simplify (c/(c/(c*c**(-6/13))))/(c*(c*c**(-2/9))/c)*(c/(c/c**(-21)*c))**(-2/67) assuming c is positive. c**(3272/7839) Simplify ((v*v**(-2/9))/(v/(v**1*v))*v**6/(v**2/v))/((v/(v/v**3))/(v**(-1/3)*v))**(-36) assuming v is positive. v**(817/9) Simplify (s**(3/2)*s/(s/s**(-2/5)))**32*((s/s**0)**(-47))**(-1/2) assuming s is positive. s**(587/10) Simplify (((m**(-14)/m)/m)**(-12)*(m**(-1/27))**(1/4))**(-42) assuming m is positive. m**(-145145/18) Simplify (i/(i**(-4)*i))/i*i**(2/3)*((i/(i/(i/(i*i*i**(-1)))))/i)/(i*i**8)*(i**(-7)*i*i*i**(-8))/(i**(-1/4))**48 assuming i is positive. i**(-22/3) Simplify (c**(-2)*c**(5/6)/c)**(1/14)*c*c**(-2/7)*c*c/c**(-6)*c**6/(c**(3/5)*c) assuming c is positive. c**(5443/420) Simplify (t/(t*t**5)*t**(2/7)*t)**(-16)*((t**(2/13)/t)/(t*t**4*t))**31 assuming t is positive. t**(-13905/91) Simplify (((a**(1/4))**1*a*a/(a**3*a)*a**(-2/7)*a)**(-6))**(-11/2) assuming a is positive. a**(-957/28) Simplify ((m/(m*m/(m/m**4)))**36/(m**(-1/2)*m**10))**(2/53) assuming m is positive. m**(-307/53) Simplify ((b*b/b**(-10))/b**(-31)*(b**(1/4))**(-36))**(6/11) assuming b is positive. b**(204/11) Simplify ((w*w/(w/(w*w**(-5)/w*w))*w)/((w*w/(w**(-1/8)/w))/w*w))**10/((w*w/(w*(w**(-1/3)*w)/w))**(-20/3))**(-2/5) assuming w is positive. w**(-1973/36) Simplify (b**28)**(1/26)*(b**(-15/2))**(-40) assuming b is positive. b**(3914/13) Simplify (z/z**(-1/2))**(-2/49)*z**(-1/2)*z**(3/8)/z*(z**(7/5)*z*z**(-2/3))/((z*z**(1/2)/z)/z)**(-30) assuming z is positive. z**(-84983/5880) Simplify ((b*b*b/b**(2/7))**(19/4))**(-44)*(b*(b/b**(1/2))/b*b*b**(2/15))/((b/(b/b**1))/((b*b/((b/(b*(b*b**6)/b))/b))/b*b)) assuming b is positive. b**(-117107/210) Simplify d**(-6)*d**(2/11)*(d/(d**1*d))/(d*(d**2/d)/d)*d**(-2)/d*d/(d*d/(d*d*d**1)*d*d)*d*(d**0)**(3/4) assuming d is positive. d**(-108/11) Simplify (f**(-1)/f)**(-14)*(f/(f*(f**(2/21)/f)/f*f))/f**(-3)*((f**(-1/2)*f)**(2/163))**(-40) assuming f is positive. f**(108370/3423) Simplify (i**(10/3)*i**(-21)*i*(i/(i/(i*i**(-12/11)*i)))/i*i/(i*i/i**(-1/19)*i))**12 assuming i is positive. i**(-47176/209) Simplify (i**(1/4))**(-31)*i**(-2/5)/i*(i/i**(2/7))/i*(i**4/(i*i**(-1/4)))**(-45) assuming i is positive. i**(-5449/35) Simplify (((o**(-2)*o)/(o*o**(2/13)*o))/(o**(2/7))**(-17/2))/(o*(o*o**(2/5)/o)/o*o*o*o**(1/7)*o*o**5/(o**(1/4)/o)) assuming o is positive. o**(-18233/1820) Simplify (m**(3/7)/m**6)**44/((((m/(m*m*(m*m*m**(-3)*m)/m))/m)/m*m)/m*((m**(3/2)/m)/m)/m*m**(-2/5)/(m**(1/3)/m)) assuming m is positive. m**(-50801/210) Simplify ((r**(-13)/(r*r*r**(-12)))/(r/r**10*r**(-1/13)))**(-1/14) assuming r is positive. r**(-79/182) Simplify (m**(-4/3))**15/(m**16/m**(-19)) assuming m is positive. m**(-55) Simplify ((q**0)**(39/2)*q*q/q**(1/16)*q*q*q/q**(-7))**38 assuming q is positive. q**(3629/8) Simplify r**5*r**(2/3)*(r/r**1)/r**(2/3)*r*r*r*r**0*r*r/r**(-1/3)*r*(r/(r*r**(-1/3)/r*r))**(-7) assuming r is positive. r**9 Simplify ((q/(q/q**(1/7))*q)/(q**(-10)/q*q)*q**9/(q*q/(q/q**7*q)*q))**(-13) assuming q is positive. q**(-1105/7) Simplify ((z**(-2)*z/(z*(z/z**(-1))/z))/(z**(-2/3)/z)**(2/3))/(z**1*z*z/(z*(z**(2/5)*z)/z))**(-49) assuming z is positive. z**(3443/45) Simplify (((t**(-2/7))**(-3/7)*t/(t*t**2)*t**(-1/4))**(-5/12))**(-6/11) assuming t is positive. t**(-2085/4312) Simplify (p/p**(-3/11))**(8/19)*(p**(-25)*p*p)/(p/(p/p**37)) assuming p is positive. p**(-12428/209) Simplify (q*q**(-1))**(-2/55)/(q/((q/((q**(-2/13)*q)/q))/q)*q**(-4/5))*(q/q**1*q)**(1/3)*q*q**(-1/5)*q*q*q**(2/11) assuming q is positive. q**(7012/2145) Simplify ((r*r**1)/r)/r**(2/3)*(r**(-2)/r)/r*r**5*((r**(-1/2)*r)/(r/(r/(r**(1/4)*r))))/((r/r**(1/3))/(r/r**(-1/2))) assuming r is positive. r**(17/12) Simplify ((r*r/r**(-10/9))**(-3/4)*((r*r**(30/11))/r)**46)**7 assuming r is positive. r**(28441/33) Simplify ((r/(r/r**(-10)*r))/r*r**(-14)*r*(r/r**(20/9)*r)/r**(-24))**(-42) assuming r is positive. r**(154/3) Simplify m**(
{ "pile_set_name": "DM Mathematics" }
3*l - 4 + 13. Solve u*p = p - l for p. -1 Let h be (-20)/(-4) - ((-12)/2)/1. Solve -u - 6 = -h for u. 5 Suppose -12*c - 2*x - 6 = -11*c, 4*c = 4*x + 12. Suppose -1 = y + 3*f, 4*y + c*f - 4*f - 12 = 0. Solve -8 = 2*p - y for p. -3 Let z be (-210)/(-25)*(4 + 12/(-18)). Solve -4*n + 12 = z for n. -4 Let k(v) = v**3 - 23*v**2 + 43*v - 31. Let r be k(21). Let l(y) = -2*y**3 - 21*y**2 - 11*y - 6. Let x be l(r). Solve x*w = -w - 15 for w. -3 Suppose 3*c - 19*b + 24*b - 31 = 0, 4*b - 18 = -2*c. Solve -85 = c*m - 0*m for m. -5 Let x = 582 + -566. Solve x + 12 = -7*k for k. -4 Suppose l = -4*w + 57, 47 = 3*w + 5*l - 0*l. Let t = -12 + w. Suppose 4*j + 2*i - 18 = 5*i, 0 = t*j - i - 8. Solve -2*d + 5*d = -j for d. -1 Suppose 0 = 14*h + 367 - 633. Solve -78 = h*y - 2 for y. -4 Let k be ((-20)/(-8) + -2)*0. Solve v - 12 + 12 = k for v. 0 Suppose -89 = -4*n + 5*p, 4*n + 4*p - 4 - 40 = 0. Solve -6*u - n = -10*u for u. 4 Suppose 0 = 34*i - 39*i + 10. Suppose -18 = i*a + 4*c - 44, 4*a - 12 = 2*c. Solve a = -3*y - 1 for y. -2 Let j = -17 + 42. Let h = -2222 + 2226. Solve -z + j = h*z for z. 5 Suppose 2*d = 8, 2*p - 5*p = d - 13. Suppose 0 = z + 5*l - 20, -p*l = z + 2*z - 36. Solve -z = 2*j - 2 for j. -4 Let k be (-2)/(-7) + (38/14 - 0). Suppose -2*o + k*q = 0, -o - 3*o + 2*q = 0. Solve -2 + o = 2*r for r. -1 Suppose 36 = 3*m + 3*f, 2*m - 4*f + 7*f = 28. Solve d + m = 5 for d. -3 Suppose v + 0*g = -4*g - 20, -25 = v - g. Let f be (-94)/(-8) + 18/v. Solve -3*a = -4 - f for a. 5 Suppose 249*z - 200*z - 539 = 0. Solve -9 = -4*q + z for q. 5 Suppose 3*j - j = 30. Let y(s) = 2*s**2 - 15*s - 20. Let n be y(9). Let z be 23/7 + (-2)/n. Solve 4*m - z = -j for m. -3 Suppose 0 = -5*q + 3 + 7. Suppose l + 5*j - q = 0, l - 20 - 9 = 4*j. Suppose 5*m + 2 = l. Solve -m*c - c = 0 for c. 0 Let g(t) = t**2 - 9*t. Let w be g(9). Suppose w = x - 1. Suppose x = -4*m + 21. Solve -7 = -4*j + m for j. 3 Let o(b) = -b + 9. Let j be o(-8). Let t = j + -14. Solve t*v + 2 = -13 for v. -5 Suppose 2*q = -3*q + 20. Suppose 3*b - q*d = 22, -4*b + b + 3*d + 18 = 0. Let r = b - 0. Solve -r*i = -3*i for i. 0 Suppose -180 = -3*j - 17*j. Solve d + j = 4*d for d. 3 Let i be -3 - 5/(-10)*10. Let o be (-1)/(-6) - (-23)/6. Suppose -19 = p - 4*u, o*p + 11 + 10 = 5*u. Solve 3*w - i*w = -p for w. -1 Suppose -24*j + 63 = -321. Solve -12*h + j*h - 12 = 0 for h. 3 Let v be 2/(3 - (-128)/(-44)). Suppose -v*q = -18*q - 12. Solve 2 = q*m - 4 for m. 2 Let m(c) be the third derivative of -c**6/120 + c**5/15 + c**4/8 + 11*c**3/6 - 23*c**2. Let y be m(5). Solve -3*t - 8 = y for t. -3 Let a(d) = 2*d**2 + 4*d - 4. Let v be a(-4). Suppose 4*w + 42 = 5*q, 13*q + 2*w - 6 = 11*q. Solve v = -q*h + 2*h for h. -3 Let h = -2 - -9. Let o = 9 - h. Suppose -o*v - 100 = -7*v. Solve -5*w - v = -0*w for w. -4 Suppose z - 4*z = -6, 4*j = -2*z + 16. Suppose j*k = m + 7, 5*k - 15 = 5. Let u be ((-8)/(-2))/(2*1). Solve u*n + 3*n = -m for n. -1 Suppose 2*s - 167 = 5*r - 2*s, -133 = 4*r - 3*s. Let k = -26 - r. Solve k*a = -6 + 16 for a. 2 Suppose -2*s + 0*s + 16 = 0. Let j be -6*2*(-4)/8. Suppose 2*q - j = -2*c + s, -4*q + c = -3. Solve -m = q*m - 15 for m. 5 Let m(l) = 2*l**2 - 3*l + 4. Let z be m(4). Suppose -61 = -2*h + 3*n, 0 = 3*h + n + n - 72. Let q = h - z. Solve -6 = -q*o - 0 for o. 3 Suppose 199*i + 156 = 211*i. Solve -8 - i = 21*j for j. -1 Suppose s = -s + 2*j - 8, 5*s = 3*j - 12. Suppose -2*p + 2 - 18 = s. Let d = p - -16. Solve b + d = 3*b for b. 4 Let c(u) = -2*u**2 + 7*u + 7. Let q be c(4). Suppose -4 = -2*z - q*b + 4, -4*b + 4 = z. Solve -2*k = z - 14 for k. 5 Let t be ((-6)/(-3))/((-1)/(-2)). Let k be (t/(-6))/(17/(-153)). Let r be (k/(-5))/(7/(-35)). Solve 0 = r*q - q + 20 for q. -4 Let n be (10 + -16)*6/(-4). Let m(d) = -d**3 + 10*d**2 - 6*d - 21. Let w be m(n). Suppose 4*y - 2*v = -5*v + 35, 0 = 5*y - 5*v. Solve -w*f = -f - y for f. 1 Suppose -3*m = -20 - 22. Suppose 2*b = -5*q + 9*q - 16, m = 4*q - b. Solve -q*x + 5 = -4 for x. 3 Let p(g) = 3*g - 3. Let h be p(-2). Let c be ((-6)/h)/(16/24). Solve 0 = 3*s - 2*s - c for s. 1 Let p = -68 - -77. Suppose 0 = -2*l - 2*d + 14, l + 5*d - 10 - p = 0. Solve -l = 5*c + 6 for c. -2 Suppose 1211 = -4*o + 1331. Solve 0 = 28*y - o*y + 2 for y. 1 Let j = -5 - -2. Let c be 1/j*0/(-4). Suppose c = -h + 1. Solve n - h = -2 for n. -1 Let x(g) be the first derivative of 2*g**3 + g**2 + g + 7. Let y be x(-1). Solve -y*c - 22 = -2 for c. -4 Let n(f) = -11*f - 14. Let c be n(-6). Suppose s = 2*a - 6*a - 54, -4*a - 2*s - c = 0. Let y be (-10)/a - (-6)/21. Solve 3*p + 4 = y for p. -1 Let y(z) = -z**2 + 7*z - 7. Let l be y(5). Suppose 3*k = 7*k - 4*u - 20, k - 2*u = 7. Solve k - 9 = l*f for f. -2 Let g = -249 + 251. Solve g*h + 0*h = -2 for h. -1 Let k(p) = -2*p**2 - 26*p - 22. Let o be k(-15). Let n = 86 + o. Solve -12 = -i + n*i for i. -4 Let p be 1 + -1 + 1 + -2. Let x be p/2*4*-7. Let z = -12 + x. Solve -z*v + 0 = -2 for v. 1 Let t be 1/(-4) + 10/8. Let c be (-2)/(-3)*(-219)/(-2). Let h = c + -69. Solve t = 3*n - h*n for n. -1 Let h be (4/4)/9 - (-44)/9. Let c be 1230/75 + 1/(h/(-2)). Solve -3*v = v - c for v. 4 Let q(g) = g + 4. Let j be q(0). Suppose 0 = 4*d - v - 16, 20*d - 19*d - 4 = 4*v. Solve -j*h = 12 + d for h. -4 Suppose -4*h = -35 - 5. Let m be 42*(-4)/(-30) + (-6)/h. Solve -5*j + 4*j = m for j. -5 Let m = -27 - -24. Let y be (18/(-12))/(m/6). Solve 2*x - 2 = y*x for x. -2 Let q(o) = -o**2 - 10*o - 20. Let l be q(-5). Solve -11 = -l*b + 4 for b. 3 Let y(w) = -w**2 - 7*w + 1. Let a be y(-7). Let z(l) = l - 3. Let d be z(-2). Let j(o) = 2*o + 15. Let g be j(d). Solve a - 21 = g*u for u. -4 Let s(i) = -i**3 - 25*i**2 - 6*i - 148. Let w be s(-25). Solve -w = v + 3 for v. -5 Let y = 59 + -59. Let i = -3 - -3. Suppose i + 4 = 2*m. Solve y = 3*q + m*q for q. 0 Let w(h) = -h**3 - 24*h**2 - 122*h - 81. Let z be w(-6). Let n(r) = -r - 2. Let p be n(-6). Solve -z*u = -p*u for u. 0 Let y = -4 - -6. Let a be 2 - (1 - 0/2). Solve -a - 1 = -y*j for j. 1 Let i(w) = 4*w + 51. Let s be i(0). Let u be s/(-27)*-3 - (-2)/(-3). Solve u*v = 7*v + 6 for v. -3 Let y be 19 + 3*(-12)/9. Let m be (-36)/y - 4/(-10). Let h be 2*(-3)/m + 0. Solve 2 = i - h*i for i. -1 Let n(s) be the second derivative of 1/3*s**3 - 11*s**2 + 0 - 7*s. Let q be n(11). Solve -p + q = -5 for p. 5 Suppose -73*y + 14 = -66*y. Solve y*l - 6 = 4*l for l. -3 Let p be (0 - (-4)/(-3))/((-12)/18). Suppose 0 = 3*m + 4*v + 10, 2*m + p*m - 16 = 2*v. Solve 2*f = -m*f + 4 for f. 1 Suppose 2*x + 2*x - 20 = 0. Suppose -x - 16 = -3*v. Solve 3*h - v*h + 20 = 0 for h. 5 Let c = -57 + 37. Let f be (-1)/((c/(-45))/(-4)). Solve -k - f = 2*k for k. -3 Let j(x) = 9*x - 3. Let t be j(2). Solve 4*k - t = -7 for k. 2 Let c be ((4 - (5 - 3)) + -3)*-4. Solve 0 = -3*g + c*g - 1 for g. 1 Suppose -2*v - 28*x + 4 = -24*x, -5*v + 4*x + 10 = 0. Suppose k = -k + 10. Solve k*d = -8 - v for d. -2 Let w be 36/10 + (-8)/(-20). Suppose -16 = -2*v + f + 20, -38 = -2*v + 2*f. Let j = v + -13. Solve 2*p - j*p = w for p. -2 Suppose -732*a + 100 = -727*a. Solve -35 = 5*h - a for h. -3 Let f be 0/((28/(-4))/7). Solve -5*w - 13 - 2 = f for w. -3 Let u = 191 - 191. Solve u = -10*g + 5*g for g. 0 Suppose 5*n - 3*n + 12 = 4*u, 2*u + 5*n = -6. Let x be (6/u + 8/(-1))*-1. Solve d - x = -0 for d. 5 Suppose -3*w - y = y - 17, -2*y - 18 = -4*w. Suppose -w*j = -8*j + 33. Let m = j + -8. Solve -n + m = -4*n for n. -1 Let j be (-3 - -3)/(0 + 2). Suppose 2*s + j*s + 4*z = 24, 0 = 5*s - 5*z. Solve 0*t - 8 = -s*t for t. 2 Suppose 0 = m + 1 - 13. Solve -5*u - m = -7 for u. -1 Let y be (4 + 2 - -3)*1. Solve -y*x + 5*x = 12 for x. -3 Let u = -32 - -20. Let s = u - -20. Solve -2*k + s = -0 for k. 4 Let m = 169 + -165. Solve -1 = k - m for k. 3 Let k(y) = y**2 + 15*y - 13. Suppose -4*i = -2*i + 34. Let s be k(i). Let f be s/(-7) + (-20)/(-2). Solve -4*g + 3 = f for g. -1 Suppose -4*s + 8*s = -260. Let m = s + 93. Suppose -5*w + m = -2. Solve -w + 14 = 2*r for r. 4 Let q(i) = -2*i**2 - 1. Let d be q(-2). Let l = d - -9. Suppose l*g - g + 12 = 0. Solve -2*n - g = 2*n for n. -3 Let c(p) = 11*p + 59. Let a be c(-4). Solve -q - a = 2*q for q. -5 Suppose 6 = 5*f - 2*f. Let q = 35 - 35. Solve f = -2*n - q*n for n. -1 Let s(d) = d**3 - 5*d**2 - 3*d + 34. Let a be s(3). Solve -16 + a = 3*n for n. -3
{ "pile_set_name": "DM Mathematics" }
4*o = -0*r - 5*r + 16, o + 3*r - 13 = v for o. 1 Let g be -4 - ((-12)/10)/(-8*(-14)/560). Solve -2*c + 551 = 5*w + 543, g*w + c = 4 for w. 0 Let a = -44 - -47. Suppose -3*k + 11 = 2*g - 6*g, 0 = a*g - 3. Solve -20 = -k*y, -26 + 1 = -m - 5*y for m. 5 Suppose 9*w = -1112 - 292. Let z = 158 + w. Solve 2*j + j + 9 = 0, z*t + 10 = -2*j for t. -2 Suppose -5 = w + 5*x + 21, 0 = 5*x + 20. Let d be (-255)/595 + w/(-14). Solve -r + d*r + 1 = 3*u, 2 = u for r. -5 Let x(u) = 4*u**3 - u**2 + 4*u - 3. Let s be x(1). Suppose -13*y + 22 = -2*y. Let a be y/(20/34) - (-2)/(-5). Solve -s*h - 36 = 5*v - 15, -2*h - a = -5*v for h. -4 Let m(a) = -a**3 + 25*a**2 + 445*a + 15. Let w be m(-12). Solve 0 = w*p - 8*g + 3*g + 35, 3*g + 8 = -4*p for p. -5 Let v = 11398 - 11393. Solve s = 5*k + 20, v*s = -0*k + k + 28 for k. -3 Let x = 21 - 19. Suppose -o - x*o = -5*t - 87, 0 = 5*t. Suppose 9*v - 52 - o = 0. Solve 2*d + v = k + 2, 3*d = 4*k - 3 for d. -5 Suppose 33 = -f + 36. Suppose f*p - 3 = -t, 0 - 3 = -t - 5*p. Suppose 0 = c + 78 - 82. Solve t*j = c*j, 10 = 5*n + 4*j for n. 2 Let n be (-26)/143 + (-138)/(-33). Suppose -4*c + 8*c - 2 = 2*k, 2*c + 14 = n*k. Solve c*s - 5*s - 2 = 2*u, -4*u = 2*s + 8 for u. -3 Suppose -3*c + 33 = z, -c - 13 = 4*z - 24. Solve 5*o + 18 = -c*f + 12*f, f = -o for o. -3 Suppose 8*s - 5*i = 14*s + 23, -11 = 5*s + 3*i. Solve 5*f + 4*x - s*x - 2 = 0, 0 = x + 4 for f. 2 Let t(w) = -10*w**3 + 151*w**2 - 17*w + 35. Let l be t(15). Solve 78 = l*b - 5*g + 43, 2*b - 4*g - 18 = 0 for b. 5 Let v(z) = 75*z + 904. Let f be v(-12). Solve 0 = -f*l - 2*u - 12 - 12, -4*l = -4*u for l. -4 Let b(l) = l + 2. Let x be b(0). Suppose -3*z - x*z = -470. Let j = z + -91. Solve 3 = -4*o - j*v, 0 = o + 3*v - 6 - 0 for o. -3 Let g(i) = i**3 - 7*i + 10. Let p be 216/(-81)*(-6)/8. Let r be g(p). Solve 20 = -r*h - 3*x, -4*h = -0*h - 3*x - 4 for h. -2 Let q(x) = -25*x**3 + 2*x**2 - 4*x + 4. Let b be q(2). Let k = -191 - b. Solve k*n = d - 22, 5 = 3*n - n - 5*d for n. -5 Suppose 0*v - 12 = -5*c - 4*v, c + 4 = -4*v. Solve -c*z = -9*h + 10*h - 20, 0 = -z + 4 for h. 4 Let w(a) = 2*a**3 - 26*a**2 - a + 17. Let n be 13*((-8 - -12) + 6/(-2)). Let m be w(n). Solve -28 = 5*b + 3*h, -3*h + m*h = b + 4 for b. -5 Let x be (-718)/(-10) - 3/(-15). Let y(q) = -5*q**2 - 3*q - 4. Let k be y(-4). Let p = k + x. Solve p = 5*j - 15, 5*c - 7 = 2*j - 6*j for c. -1 Let v = -32 + -127. Let g = -159 - v. Solve 0 = -5*b - 5*a, g = -3*b + 2*a - 6*a for b. 0 Let j(y) be the first derivative of y**4/4 + 35*y**3/3 - 39*y**2/2 - 104*y + 129. Let l be j(-36). Solve -4*r - w - 3 = 6, l*w = -4 for r. -2 Let o(x) = -533*x + 1079. Let l be o(2). Solve 3*j = -z + 16, 0 = -2*j + 2*z + 29 - l for j. 6 Let r(y) = -y**3 - 88*y**2 - 4*y - 352. Let v be r(-88). Solve -5*p - 2*s + 13 = v, -22*s - 11 = -2*p - 17*s for p. 3 Suppose 3*k + 2*a = a - 6, -4*a + 10 = -5*k. Let p be ((-28)/(-12) + -2)*(-30)/k. Solve 16 = 2*o + 4*x, -3*o + p*x = -6*o + 21 for o. 2 Let v = -9 + 11. Let a = 100 - 21. Suppose b = 2*q + 4*b - 35, 5*q - b = a. Solve 5*l = -y - 4, 3*y = -y - v*l - q for y. -4 Suppose -118*m - 10 = 114*m - 237*m. Solve 4*u = k - 2*k + 11, u = m*k + 14 for k. -5 Suppose 0 = -3*t - 25*t + 5180. Let h = t - 180. Solve -h*z - 8 = -4*p, 0*p - z + 2 = -2*p for p. -3 Let s be 2336/(-730)*(-10)/16. Solve -k - 28 = -3*q - 36, -s*k - 24 = 4*q for k. -4 Suppose 20 = -3*x + 26. Suppose -35 = 5*p + 100. Let s = 30 + p. Solve -5*q = n + 20, 2*q = -n - x - s for n. 5 Let j(d) = -4*d - 78. Let b be j(-8). Let r = 48 + b. Solve -3*i + r = -0*p - p, -5*i - 15 = 2*p for i. -1 Let r = -70 - -56. Let w(p) = -p**2 - 10*p + 26. Let i be w(r). Let g = i + 32. Solve g*b - 2*u + 11 = b, -12 = -3*b - 3*u for b. -1 Let l(s) = s**2 + 9*s - 2. Let g be l(6). Let v = g - 83. Let k be ((-20)/25)/((-2)/v). Solve -5*c + k*y = -0*c - 1, -5*y = 15 for c. -1 Let m be (11 - 12)*0/15. Solve -14*a + 13*a = -g + 1, m = 4*a - g - 2 for a. 1 Suppose 32 - 37 = -o. Suppose 0 = 3*j + 15, -2*j - 35 = -o*g + j. Solve -t = -g*d + 4*t + 15, -4*d = 5*t - 25 for d. 5 Let q(i) = -290*i - 578. Let b be q(-2). Solve 2*l - 7*l + 2*z = -13, b*l + 4*z + 14 = 0 for l. 1 Suppose 0 = -g - g + 208. Suppose -7*c + g = -5*c. Suppose 22*d - 9*d - c = 0. Solve -5*y - 3*l + d*l = -12, 2*y - 3*l = 10 for y. 2 Suppose f = -5*w - 1509, 0 = w - f - 3 + 306. Let g = 308 + w. Suppose 2*l = 2*i - 8, 0*l + 4 = -2*l. Solve -x + 4 = i*v, 3*v + x + 0 = g for v. 2 Let n = 242 + -238. Let b be (-6 - n)*((-9)/6)/3. Solve 2*p + 19 = -b*l + 3, 5*l = -20 for p. 2 Let c(z) = z**3 - 2*z**2 - 17*z + 12. Let f be c(5). Suppose 4 = -3*m + m, -m = 4*k + f. Solve -4*w - 8 = k, 3*q = 7*q - 3*w - 18 for q. 3 Let j be (-14)/(-6) - (-3)/(-9). Let u = 32711 + -32708. Solve 26 = -3*v + 4*z, 0 = v - j*v - u*z + 13 for v. -2 Let a = -815 - -819. Suppose 4*t = -5*o + 10, a = 4*o + 26*t - 22*t. Solve -3*z - 5*i = 10, -z - 2*i - o = -3*i for z. -5 Let v = 13 + -11. Let w = -54 - -57. Suppose 3 - 9 = -w*y. Solve -v*b + 0 = -2*h + y, 3*h + 11 = -4*b for b. -2 Suppose -3*d + 1215 = 5*x, -598 = -5*x + 5*d + 617. Let s = x + -243. Solve -a = -3*h - 5, -4*h + 4*a - 2 - 2 = s for h. -2 Suppose 3*i + 3*n = 47 - 62, -2*i + 5*n = -39. Suppose -k - 2*a = -0*a + 5, -2*a - 30 = -4*k. Solve i + 5 = 2*g - k*x, -3*g - 2*x - 18 = 0 for g. -4 Suppose -4*x - 12 = -x, 2*t + 4*x - 56 = 0. Let z be -2 + (-4 + 6 - -2). Suppose z*i = a - 6*a + 37, i - t = -5*a. Solve v + 1 = 0, a + 2 = -3*h + 3*v for h. -4 Let y(m) = -m**3 + 10*m**2 - 23*m + 19. Let w be y(7). Suppose -35 = -18*d + 13*d. Let j = -7 + d. Solve -5*s - 5 = -w*z - j*s, -5*z + 4*s + 4 = 0 for z. 0 Suppose 8*x - 880 = 256. Let b = x - 200. Let u = b + 62. Solve 3 = 5*g - 4*p, 2*g - 3 = -3*p + u*p for g. 3 Let g(z) = -644*z**3 + 6*z + 5. Let u be g(-1). Let s = -640 + u. Solve s*y + 5*d - 4 = 17, -5*y + 1 = -3*d for y. 2 Suppose 3*l - 48 = -3*f, -f = 4*l - 35 - 14. Suppose 12*q - 35 + l = 0. Solve -g + 4 = -3*c + 10, g + 3 = q*c for c. 3 Let n be ((-128)/24)/((2/1)/(-12)). Suppose -204 = -72*v + 21*v. Solve n = v*o - j + 6*j, -2*o + 2*j = 2 for o. 3 Suppose x - 24 = 20*x - 81. Suppose -4*q = -4*y + 32, -5*y - 8 = -2*q - 33. Let s be q/3*(-1 + -2). Solve x*d = -4*o + 5*o - 2, -s*o = 20 for d. -2 Suppose -5*g - 24 + 159 = 5*k, 3*k - 3*g = 105. Solve -3*o + 15 = 0, 0 = -14*f + 10*f + 3*o - k for f. -4 Let i(y) = -7*y - 439. Let j be i(-63). Solve 0 = 4*n - z - j, 0 = 2*n - 2*z + z - 2 for n. 0 Let t(x) = 85*x - 2633. Let k be t(31). Solve 4*h + 6 = 3*d, 178*h - d + k = 176*h for h. 0 Suppose -3*p - 4*i = -10, 0*i + i = -2. Suppose 4*u - p*g - 32 = -2*g, -u + 3*g = -10. Suppose c + 0*c = 3. Solve 3*x + u = t + t, -27 = 3*t + c*x for t. -4 Let v = 2914 - 2911. Solve 5*y + v*b + 24 = 0, -4*b = 12*y - 9*y + 21 for y. -3 Let m be -5 + 6 - 14/(-2). Let g = -192 + 209. Suppose -6*t = -7 - g. Solve -t*j = -2*x, 2*x + 2*x - 4*j + m = 0 for x. -4 Let l(z) be the second derivative of 2*z**4/3 - 3*z**2/2 - 4*z - 3. Let w be l(1). Solve 2*m = -2*g - 0 + 4, -g + 2*m = -w for g. 3 Suppose -54 = -3*z + i - 332, z - 3*i = -82. Let l = z + 97. Suppose -l*f + 36 = f. Solve -t + 5*d = -15, 3*t = -d - 2*d - f for t. 0 Let s = -195 - -66. Let o = 132 + s. Suppose 6*z - z = 30. Solve -4*l - 26 = 5*y, 0 = -2*y + o*l + z + 2 for y. -2 Suppose 3*o = 3*w + 27, -6*w + 3*w = -2*o + 23. Suppose -o*f = -2*l - 5 - 13, -4*l = 2*f + 6. Solve -2*b + 5*b = i + 7, -2*i = 5*b + f for i. -4 Suppose 102*k = -14*k + 580. Solve 0 = 3*r + k*f - 26, r - 16 + 2 = -3*f for r. 2 Let g = -49 + 53. Let q = 3 + 9. Let b = -8 + q. Solve -3 = l - 3*z, b*l + g*z - 1 = 3 for l. 0 Let g(b) = -74*b + 4. Let v be g(-22). Let m be (-2)/18 - v/(-108). Suppose m*j - 17*j + 10 = 0. Solve -2*f = -j*o + 19, -3*f = -4*o - 4*f + 10 for o. 3 Let s(a) be the second derivative of a**3/3 - 15*a**2/2 + 13*a. Let n be s(9). Suppose 9 = 6*z - n. Solve -5 = 4*i - c, 0*i + 5*c = -z*i + 25 for i. 0 Suppose -b - 2104 = -3*u - 2144, 3*b + 5*u + 6 = 0. Solve -j = 4*i + b, 0 = -3*i + 3*j - 2 - 19 for i. -4 Suppose 4*p = 5*j + 452, 2*p - 228 = -3*j + 6*j. Suppose -p = -3*h - 0*h. Suppose 8*x + x - h = 0. Solve -25 = -5*g, -x*g + 0*g = -3*v - 17 for v. 1 Suppose 24*w - 22*w + 2*f - 22 = 0, -36 = -2*w - 4*f. Solve 3*h = v + 4, -w*h + 9 = -2*v + 3 for v. -1 Let
{ "pile_set_name": "DM Mathematics" }
oooommqo? 1/2380 Calculate prob of sequence uaj when three letters picked without replacement from xxaxaxuxuxdaxajdxaah. 1/570 Two letters picked without replacement from {c: 1, d: 8, l: 11}. Give prob of sequence cd. 2/95 What is prob of sequence tq when two letters picked without replacement from qkkqxqtqqukqtjt? 3/35 What is prob of sequence zf when two letters picked without replacement from {z: 7, f: 2, j: 7, t: 1}? 7/136 What is prob of sequence uua when three letters picked without replacement from {a: 2, u: 4, s: 3}? 1/21 Four letters picked without replacement from {k: 1, h: 3, t: 2, a: 3, s: 1}. What is prob of sequence khah? 1/280 What is prob of sequence gsg when three letters picked without replacement from gggggssgg? 1/6 Calculate prob of sequence tt when two letters picked without replacement from {b: 1, t: 3, n: 1, w: 1, p: 1}. 1/7 Calculate prob of sequence wih when three letters picked without replacement from {g: 1, h: 2, i: 1, w: 6, j: 3, o: 2}. 2/455 Three letters picked without replacement from imumuiumubui. What is prob of sequence ibu? 1/88 What is prob of sequence jj when two letters picked without replacement from yyjsjrrrrrrrwwrws? 1/136 Calculate prob of sequence tff when three letters picked without replacement from {f: 19, t: 1}. 1/20 Four letters picked without replacement from {h: 1, p: 3, g: 1}. What is prob of sequence pghp? 1/20 What is prob of sequence tott when four letters picked without replacement from {t: 15, o: 4}? 455/3876 What is prob of sequence psa when three letters picked without replacement from {s: 3, p: 2, t: 2, w: 1, a: 9}? 9/680 Two letters picked without replacement from oso. Give prob of sequence oo. 1/3 Four letters picked without replacement from {u: 11, a: 4, s: 4}. Give prob of sequence sssu. 11/3876 Calculate prob of sequence tcbp when four letters picked without replacement from {p: 9, t: 2, c: 1, b: 4, q: 1}. 3/2380 What is prob of sequence ffm when three letters picked without replacement from {d: 2, a: 4, m: 1, f: 1}? 0 Calculate prob of sequence bb when two letters picked without replacement from {b: 10}. 1 Calculate prob of sequence ztt when three letters picked without replacement from {z: 1, t: 2, q: 1}. 1/12 Calculate prob of sequence twtt when four letters picked without replacement from {x: 4, w: 3, t: 6}. 3/143 What is prob of sequence vj when two letters picked without replacement from zvzjzzzzzzgzzzzjz? 1/136 Calculate prob of sequence hoph when four letters picked without replacement from hhphhhrhhopwhpppphpp. 8/1615 Two letters picked without replacement from ddo. What is prob of sequence do? 1/3 Two letters picked without replacement from {n: 2, c: 3, b: 1, o: 2, p: 9}. What is prob of sequence nc? 3/136 Calculate prob of sequence nji when three letters picked without replacement from {i: 1, t: 2, o: 2, b: 1, j: 1, n: 2}. 1/252 Three letters picked without replacement from ymmiyiiiiiyim. What is prob of sequence ymi? 21/572 Four letters picked without replacement from jmrrmrrrjjrrjjrrrj. What is prob of sequence jrmj? 5/612 What is prob of sequence kl when two letters picked without replacement from lllklqqiqqq? 2/55 What is prob of sequence oo when two letters picked without replacement from uotpo? 1/10 Two letters picked without replacement from {x: 3, j: 4}. What is prob of sequence jx? 2/7 Two letters picked without replacement from yeyyp. What is prob of sequence yp? 3/20 Calculate prob of sequence qqz when three letters picked without replacement from {d: 2, z: 3, q: 12}. 33/340 Two letters picked without replacement from ectkeiktkkseekkt. Give prob of sequence et. 1/20 Two letters picked without replacement from {k: 5, o: 3, b: 3}. Give prob of sequence ko. 3/22 Four letters picked without replacement from {w: 1, t: 2, v: 2, x: 2, q: 1}. Give prob of sequence wvqx. 1/420 Four letters picked without replacement from {k: 2, y: 3, g: 2, h: 8, w: 2}. What is prob of sequence hhkh? 1/85 Four letters picked without replacement from {s: 4, g: 1, i: 2, a: 1}. What is prob of sequence gsai? 1/210 Four letters picked without replacement from {r: 8, k: 3, o: 7}. What is prob of sequence krok? 7/1530 Four letters picked without replacement from uaquu. What is prob of sequence uauu? 1/20 Four letters picked without replacement from {y: 5, i: 3, m: 2}. Give prob of sequence immy. 1/168 What is prob of sequence rr when two letters picked without replacement from rbbbbsbbbbbfrf? 1/91 Calculate prob of sequence cccc when four letters picked without replacement from {z: 8, c: 5}. 1/143 Three letters picked without replacement from hcnn. What is prob of sequence hnh? 0 What is prob of sequence anx when three letters picked without replacement from {x: 4, a: 2, z: 3, y: 2, n: 7}? 7/612 What is prob of sequence izs when three letters picked without replacement from {s: 4, c: 1, z: 1, n: 1, i: 2, o: 3}? 1/165 Three letters picked without replacement from qmqqqmfqqmbbqqbfbqb. What is prob of sequence bmb? 10/969 Calculate prob of sequence ma when two letters picked without replacement from {a: 2, w: 1, e: 1, n: 1, r: 1, m: 1}. 1/21 Two letters picked without replacement from stststsssssssss. What is prob of sequence ts? 6/35 Two letters picked without replacement from zkylzkkkklzll. What is prob of sequence ly? 1/39 Calculate prob of sequence vg when two letters picked without replacement from {n: 8, v: 1, g: 6}. 1/35 Three letters picked without replacement from wwiffilgwwgipp. Give prob of sequence iiw. 1/91 Two letters picked without replacement from {c: 1, g: 3, f: 3, a: 2, o: 3, v: 3}. Give prob of sequence fa. 1/35 Three letters picked without replacement from {h: 10, t: 5, j: 4}. Give prob of sequence ttt. 10/969 Two letters picked without replacement from {s: 2, r: 2, c: 1, e: 1, f: 2}. What is prob of sequence se? 1/28 Calculate prob of sequence ct when two letters picked without replacement from {t: 1, g: 11, k: 2, c: 2}. 1/120 What is prob of sequence wgmi when four letters picked without replacement from {w: 4, m: 2, i: 4, a: 2, g: 2, r: 1}? 8/4095 Three letters picked without replacement from dssddgs. Give prob of sequence ssd. 3/35 Two letters picked without replacement from ukcuggfgxkgfgfggf. What is prob of sequence xc? 1/272 Three letters picked without replacement from dzfddrdesffrdef. Give prob of sequence frr. 4/1365 What is prob of sequence kvxa when four letters picked without replacement from {x: 1, a: 1, n: 5, c: 1, k: 1, v: 3}? 1/3960 Calculate prob of sequence qqqq when four letters picked without replacement from {q: 5, t: 5}. 1/42 Calculate prob of sequence qn when two letters picked without replacement from qyhdqhndqnhhhdh. 1/35 Calculate prob of sequence ww when two letters picked without replacement from wwwzzqwwqjqz. 5/33 Calculate prob of sequence xxii when four letters picked without replacement from xixixxxioxixo. 21/715 Two letters picked without replacement from {z: 1, k: 1, b: 1, g: 1, s: 1, n: 2}. What is prob of sequence bg? 1/42 Three letters picked without replacement from oauuadzq. Give prob of sequence zad. 1/168 Three letters picked without replacement from ppppppppp. Give prob of sequence ppp. 1 Calculate prob of sequence hp when two letters picked without replacement from ppnpppplpnhlllhnp. 1/17 What is prob of sequence jb when two letters picked without replacement from xjjjxxkbxjkbxxjkx? 5/136 Calculate prob of sequence tgt when three letters picked without replacement from {n: 1, g: 7, t: 6, k: 4}. 35/816 Two letters picked without replacement from {b: 3, u: 3, o: 7, t: 2, a: 3}. What is prob of sequence au? 1/34 Four letters picked without replacement from wwllwljj. What is prob of sequence wwlj? 3/140 Calculate prob of sequence uk when two letters picked without replacement from skaukullul. 1/15 What is prob of sequence ph when two letters picked without replacement from {n: 1, p: 7, h: 5}? 35/156 Four letters picked without replacement from dydoyqqdqyhyqqq. What is prob of sequence dyyq? 3/455 What is prob of sequence ti when two letters picked without replacement from {d: 1, i: 1, t: 1}? 1/6 Two letters picked without replacement from {z: 7, m: 3}. What is prob of sequence zz? 7/15 Calculate prob of sequence iff when three le
{ "pile_set_name": "DM Mathematics" }
s are there in 0.1819414 litres? 181.9414 How many millilitres are there in 2860.668 litres? 2860668 How many litres are there in 2234.06 millilitres? 2.23406 What is 21/8 of a millimeter in micrometers? 2625 How many kilometers are there in 46745.3mm? 0.0467453 How many nanograms are there in 886.468ug? 886468 What is 648236.7 litres in millilitres? 648236700 Convert 6291.885g to micrograms. 6291885000 What is 3/5 of a centimeter in micrometers? 6000 What is 5/4 of a litre in millilitres? 1250 What is 215.9719g in nanograms? 215971900000 How many months are there in seven fifteenths of a millennium? 5600 How many minutes are there in 24.954132us? 0.0000004159022 How many minutes are there in 5319.633ns? 0.00000008866055 What is six fifths of a kilogram in grams? 1200 How many kilograms are there in one twentieth of a tonne? 50 How many millilitres are there in 3/50 of a litre? 60 How many weeks are there in 133363143.9 seconds? 220.50784375 How many seconds are there in one sixth of a day? 14400 How many kilograms are there in five quarters of a tonne? 1250 Convert 1.199033 milliseconds to nanoseconds. 1199033 What is 18/5 of a milligram in micrograms? 3600 What is fifty-one halves of a milligram in micrograms? 25500 How many centimeters are there in 910199.8 millimeters? 91019.98 What is 48561.6ml in litres? 48.5616 What is 17/4 of a kilogram in grams? 4250 What is 7/8 of a milligram in micrograms? 875 How many nanometers are there in seventy-one fifths of a micrometer? 14200 How many micrograms are there in 67/5 of a milligram? 13400 Convert 62.25975 centuries to decades. 622.5975 What is fifty-one quarters of a tonne in kilograms? 12750 What is six fifths of a millimeter in micrometers? 1200 Convert 183426.78 minutes to hours. 3057.113 Convert 3.65201ug to nanograms. 3652.01 What is 7/8 of a week in hours? 147 How many millimeters are there in seven halves of a centimeter? 35 How many micrometers are there in 3/5 of a millimeter? 600 How many micrograms are there in 27/5 of a milligram? 5400 How many micrograms are there in fourty-five quarters of a milligram? 11250 What is 3/40 of a litre in millilitres? 75 Convert 17.0393895us to weeks. 0.00000000002817359375 How many months are there in 5389.657 decades? 646758.84 What is fifty-one fifths of a millennium in years? 10200 What is sixty-nine halves of a millennium in decades? 3450 How many grams are there in 0.289248 micrograms? 0.000000289248 What is five quarters of a meter in millimeters? 1250 Convert 759.535 micrograms to milligrams. 0.759535 How many kilometers are there in 418.3853nm? 0.0000000004183853 How many grams are there in 1/5 of a kilogram? 200 How many litres are there in 67274.39ml? 67.27439 How many micrometers are there in 6.470063 nanometers? 0.006470063 What is thirteen fifths of a centimeter in micrometers? 26000 What is twenty-six fifths of a meter in centimeters? 520 How many nanoseconds are there in 71514.96 days? 6178892544000000000 What is 613.4389ug in kilograms? 0.0000006134389 How many litres are there in 2.230191ml? 0.002230191 What is 3/25 of a microgram in nanograms? 120 What is 11/4 of a week in hours? 462 What is 12/25 of a milligram in micrograms? 480 How many decades are there in 0.4563063 centuries? 4.563063 What is 1.633644 tonnes in nanograms? 1633644000000000 What is 3/40 of a tonne in grams? 75000 How many years are there in eighteen fifths of a millennium? 3600 How many minutes are there in twenty-one eighths of a week? 26460 What is eleven halves of a second in milliseconds? 5500 What is 15/4 of a milligram in micrograms? 3750 How many weeks are there in 238.30639 days? 34.04377 What is thirteen fifths of a kilometer in meters? 2600 How many decades are there in 4.323174 centuries? 43.23174 How many decades are there in 3.38028 years? 0.338028 What is 3/50 of a litre in millilitres? 60 How many micrometers are there in 3/8 of a millimeter? 375 What is five quarters of a millennium in decades? 125 How many seconds are there in seventy-four fifths of a minute? 888 How many nanoseconds are there in 2.33663 seconds? 2336630000 What is three tenths of a gram in milligrams? 300 How many litres are there in 5262.707 millilitres? 5.262707 How many microseconds are there in 77700.06 weeks? 46992996288000000 Convert 944907.1 tonnes to nanograms. 944907100000000000000 How many micrometers are there in 3/8 of a centimeter? 3750 How many centimeters are there in 45/4 of a meter? 1125 What is 27.996894 months in centuries? 0.023330745 How many nanometers are there in 481304.3km? 481304300000000000 What is 636.329925us in weeks? 0.0000000010521328125 What is 6/25 of a gram in milligrams? 240 Convert 23.38715ng to milligrams. 0.00002338715 What is one quarter of a litre in millilitres? 250 Convert 27.12551 tonnes to micrograms. 27125510000000 Convert 4.337417 micrograms to kilograms. 0.000000004337417 What is 3/32 of a millimeter in nanometers? 93750 How many minutes are there in thirty-four ninths of a day? 5440 How many seconds are there in twenty-three sixths of a minute? 230 What is one quarter of a decade in months? 30 What is 68/3 of a century in months? 27200 Convert 0.4220404t to nanograms. 422040400000000 What is 94828.2km in micrometers? 94828200000000 How many millilitres are there in 8/25 of a litre? 320 What is five quarters of a milligram in micrograms? 1250 How many seconds are there in 8/25 of a hour? 1152 Convert 81.067905ns to days. 0.0000000000009382859375 How many months are there in seven quarters of a millennium? 21000 How many grams are there in 7/2 of a kilogram? 3500 How many micrometers are there in 54/5 of a millimeter? 10800 What is 866.5093 minutes in milliseconds? 51990558 What is 877.1685ml in litres? 0.8771685 What is 15/4 of a litre in millilitres? 3750 What is 51/5 of a tonne in kilograms? 10200 What is 0.300076 milligrams in tonnes? 0.000000000300076 How many meters are there in 15/4 of a kilometer? 3750 What is twenty-one fifths of a litre in millilitres? 4200 How many nanograms are there in 2371.489mg? 2371489000 Convert 306.0106 kilograms to tonnes. 0.3060106 How many nanograms are there in twenty-seven halves of a microgram? 13500 What is 91435.08 years in months? 1097220.96 How many tonnes are there in 54.49023 kilograms? 0.05449023 What is 3/25 of a litre in millilitres? 120 What is sixteen fifteenths of a decade in months? 128 Convert 178550.82 days to weeks. 25507.26 How many days are there in 9.063549s? 0.0001049021875 What is 27/5 of a century in months? 6480 How many millilitres are there in three fifths of a litre? 600 How many nanograms are there in 3/50 of a milligram? 60000 How many hours are there in 61/2 of a day? 732 What is 538879.5 minutes in milliseconds? 32332770000 Convert 678739.5g to milligrams. 678739500 What is eighteen fifths of a century in decades? 36 How many milligrams are there in 13/5 of a gram? 2600 How many tonnes are there in 935708.8 micrograms? 0.0000009357088 Convert 6689.468 millennia to decades. 668946.8 What is 7/16 of a century in months? 525 What is twenty-seven fifths of a kilometer in meters? 5400 What is ten sevenths of a week in hours? 240 How many minutes are there in 894908.5 hours? 53694510 Convert 786384.3 grams to tonnes. 0.7863843 What is 32/5 of a micrometer in nanometers? 6400 What is seven eighths of a centimeter in micrometers? 8750 What is seven sixths of a millennium in months? 14000 How many millilitres are there in nine tenths of a litre? 900 What is 464.2368 centimeters in meters? 4.642368 How many months are there in 646.3333 millennia? 7755999.6 How many grams are there in 11/8 of a kilogram? 1375 What is 7/2 of a litre in millilitres? 3500 Convert 0.6688291 years to centuries. 0.006688291 What is 113280.7 centuries in decades? 1132807 Convert 6.2321mm to kilometers. 0.0000062321 How many millimeters are there in 516050.2cm? 5160502 How many minutes are there in 50360.3 days? 72518832 Convert 2.153738 decades to months. 258.44856 How many nanograms are there in seven halves of a microgram? 3500 What is 3/10 of a millennium in centuries? 3 What is seven quarters of a kilometer in meters? 1750 How many years are there in 5910.744 millennia? 5910744 What is 3/5
{ "pile_set_name": "DM Mathematics" }
ent from uuekuuueueteuru. What is prob of picking 1 r, 1 k, and 2 e? 2/455 What is prob of picking 1 q and 1 z when two letters picked without replacement from {z: 3, j: 4, q: 6}? 3/13 What is prob of picking 1 j, 1 r, and 1 x when three letters picked without replacement from xrjrmrrxkpmmmmjrr? 3/85 Calculate prob of picking 1 a and 3 b when four letters picked without replacement from {j: 4, b: 8, a: 1}. 56/715 Calculate prob of picking 2 n when two letters picked without replacement from {n: 6, s: 2}. 15/28 Two letters picked without replacement from {s: 1, q: 2, w: 1, o: 12, y: 3}. What is prob of picking 1 w and 1 o? 4/57 Three letters picked without replacement from {z: 2, a: 2, v: 2, l: 2, n: 1, w: 8}. Give prob of picking 1 l and 2 z. 1/340 Two letters picked without replacement from {i: 11, b: 3}. What is prob of picking 2 i? 55/91 Two letters picked without replacement from {t: 1, l: 3, x: 2, s: 1}. Give prob of picking 1 s and 1 l. 1/7 Three letters picked without replacement from {z: 1, h: 8, m: 4, i: 3, b: 1}. Give prob of picking 2 h and 1 z. 7/170 What is prob of picking 2 y and 2 j when four letters picked without replacement from yjjwymmmm? 1/126 Three letters picked without replacement from ayyqyyyyyaayyqy. What is prob of picking 1 a and 2 y? 27/91 Two letters picked without replacement from nyynynlyynpmynm. What is prob of picking 1 p and 1 l? 1/105 What is prob of picking 2 c and 1 f when three letters picked without replacement from zcdvdcfzvhzh? 1/220 Three letters picked without replacement from {z: 1, k: 1, e: 1, v: 2}. What is prob of picking 2 v and 1 e? 1/10 Three letters picked without replacement from {m: 6, z: 2}. What is prob of picking 1 m and 2 z? 3/28 What is prob of picking 1 h, 1 v, and 1 k when three letters picked without replacement from {u: 10, k: 3, h: 5, v: 1, c: 1}? 1/76 Two letters picked without replacement from {x: 4, f: 3}. What is prob of picking 2 f? 1/7 Three letters picked without replacement from qvmsvol. What is prob of picking 1 l and 2 v? 1/35 What is prob of picking 2 r, 1 q, and 1 e when four letters picked without replacement from yqkryyykyrye? 1/495 Calculate prob of picking 1 l and 1 e when two letters picked without replacement from eubpbhhhheblbbhbl. 1/34 Four letters picked without replacement from lrrllllllrlrllllll. Give prob of picking 3 r and 1 l. 14/765 Two letters picked without replacement from {i: 1, f: 1, v: 10, p: 3}. What is prob of picking 1 p and 1 v? 2/7 What is prob of picking 2 z when two letters picked without replacement from {n: 13, z: 5}? 10/153 Four letters picked without replacement from wqkqqakawkqkqkqqakq. What is prob of picking 1 a, 1 w, and 2 k? 15/646 Two letters picked without replacement from {g: 3, z: 1, u: 1, m: 2, k: 5}. Give prob of picking 1 k and 1 z. 5/66 Two letters picked without replacement from aaoovacaaaovaaaa. Give prob of picking 1 v and 1 a. 1/6 Three letters picked without replacement from {o: 13, z: 2, f: 2, w: 2}. Give prob of picking 2 w and 1 z. 2/969 What is prob of picking 2 h and 1 n when three letters picked without replacement from znhjnznnzzznhzzjjj? 5/816 Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {h: 1, c: 1, r: 5, e: 1, f: 1, m: 3}. 1/22 Calculate prob of picking 2 f when two letters picked without replacement from zfzzzzfzzzzzfzzfzfz. 10/171 Calculate prob of picking 1 w and 2 g when three letters picked without replacement from gppwwgww. 1/14 What is prob of picking 2 e when two letters picked without replacement from skseksksekkkk? 1/78 Three letters picked without replacement from {g: 1, o: 1, t: 3, i: 4, k: 2}. Give prob of picking 1 g, 1 t, and 1 i. 4/55 Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {r: 18, t: 2}. 18/95 Four letters picked without replacement from {g: 1, l: 14}. Give prob of picking 1 g and 3 l. 4/15 Four letters picked without replacement from sbdsssdxxbdbssbbbxb. What is prob of picking 1 b, 1 x, and 2 d? 21/1292 Four letters picked without replacement from {l: 2, x: 2, o: 3, p: 3, d: 3}. What is prob of picking 2 o, 1 d, and 1 p? 27/715 Three letters picked without replacement from {b: 10, y: 9}. What is prob of picking 3 y? 28/323 Calculate prob of picking 2 o and 1 d when three letters picked without replacement from {o: 7, d: 2}. 1/2 Two letters picked without replacement from {l: 1, k: 4, x: 7, e: 1, m: 1, r: 5}. Give prob of picking 1 x and 1 m. 7/171 Calculate prob of picking 1 c, 1 n, and 1 l when three letters picked without replacement from {n: 5, l: 1, c: 1, z: 2}. 5/84 Three letters picked without replacement from npzene. Give prob of picking 1 n and 2 e. 1/10 Calculate prob of picking 1 d and 2 e when three letters picked without replacement from {d: 4, e: 2}. 1/5 What is prob of picking 1 d and 1 z when two letters picked without replacement from zgjrdrc? 1/21 Four letters picked without replacement from {m: 2, p: 1, j: 2, i: 1, z: 1}. Give prob of picking 1 p, 1 i, and 2 j. 1/35 Three letters picked without replacement from grgllgggggrggg. Give prob of picking 1 g and 2 l. 5/182 Four letters picked without replacement from {w: 2, g: 3, q: 3}. What is prob of picking 2 w and 2 q? 3/70 Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {r: 5, j: 5, u: 2, k: 2, o: 1, e: 1}. 1/12 Two letters picked without replacement from {k: 4, q: 1, w: 3, u: 1, f: 2, a: 1}. What is prob of picking 1 u and 1 f? 1/33 Two letters picked without replacement from {c: 6, v: 13}. Give prob of picking 1 c and 1 v. 26/57 Three letters picked without replacement from dddfdfdddddfffddfd. What is prob of picking 2 f and 1 d? 15/68 Four letters picked without replacement from ddqjdjdqdijdddij. Give prob of picking 1 j, 1 d, and 2 i. 8/455 Calculate prob of picking 1 m and 1 z when two letters picked without replacement from rzrdzcddmxr. 2/55 What is prob of picking 2 r and 1 j when three letters picked without replacement from ojdrjrrddrrjo? 15/143 Calculate prob of picking 1 a and 1 q when two letters picked without replacement from sxqxsaasxrn. 2/55 What is prob of picking 1 d and 2 i when three letters picked without replacement from {i: 4, q: 1, d: 1, u: 5, v: 1}? 3/110 Two letters picked without replacement from {q: 3, a: 4}. What is prob of picking 1 a and 1 q? 4/7 What is prob of picking 1 x and 2 c when three letters picked without replacement from {x: 5, e: 2, j: 3, c: 3}? 15/286 What is prob of picking 1 h and 1 x when two letters picked without replacement from ehehnxexherexbnxbxex? 9/95 Three letters picked without replacement from rrrmrrmrrmrr. What is prob of picking 3 r? 21/55 Two letters picked without replacement from {k: 1, s: 4, m: 7, l: 4, p: 1}. Give prob of picking 1 k and 1 s. 1/34 Three letters picked without replacement from xxxggxxxxxxxgxx. Give prob of picking 2 x and 1 g. 198/455 Three letters picked without replacement from {o: 2, q: 10, b: 6}. Give prob of picking 3 b. 5/204 Four letters picked without replacement from vvovnnjjnnojiin. What is prob of picking 1 j, 1 v, and 2 n? 6/91 Calculate prob of picking 3 e and 1 r when four letters picked without replacement from ereerrrrrrerrrerrr. 13/306 What is prob of picking 2 z and 1 s when three letters picked without replacement from hzzzmas? 3/35 Three letters picked without replacement from {u: 6, a: 1, w: 12}. What is prob of picking 1 w and 2 u? 60/323 What is prob of picking 2 l when two letters picked without replacement from flflllllflfflllllfl? 26/57 Four letters picked without replacement from uuibrrinripbbrp. What is prob of picking 1 p and 3 i? 2/1365 Calculate prob of picking 2 z and 1 p when three letters picked without replacement from jpzzazajjaazz. 5/143 What is prob of picking 2 p when two letters picked without replacement from {d: 16, p: 4}? 3/95 Two letters picked without replacement from {s: 2, c: 4}. What is prob of picking 1 s and 1 c? 8/15 Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {x: 2, f: 1, y: 1, j: 1, t: 1, s: 1}. 2/21 What is prob of picking 1 c and 1 y when two letters picked without replacement from ycyyllaaaaz? 3/55 Calculate prob of pick
{ "pile_set_name": "DM Mathematics" }
k**3*n**3 + k**2*n**2 wrt n? -180*f**3 + 120*k**3 Find the second derivative of 388*c**3*m**2 + 3*c**3*m - 49*c*m wrt m. 776*c**3 Differentiate -59*n**3*v**2 + 7*n**3*v - 251*n**3 wrt v. -118*n**3*v + 7*n**3 Differentiate 6*a**4 + 24*a**3 - 6*a**2 + 13912 with respect to a. 24*a**3 + 72*a**2 - 12*a Find the second derivative of 207*a**2*p + 33*a + 2*p + 2 wrt a. 414*p Find the second derivative of -37*u**3 + 9*u**2 - 3*u + 1. -222*u + 18 What is the third derivative of 326*o**4 + 2*o**2 - 132*o wrt o? 7824*o What is the derivative of -9926*i**3 - 8576 wrt i? -29778*i**2 What is the first derivative of 2454*q**3 - 4319? 7362*q**2 What is the third derivative of 1175*r**3 + 517*r**2? 7050 Find the third derivative of 6*j**5 - 11*j**3 + 32*j**2 + 2. 360*j**2 - 66 Find the second derivative of -103*h*w**3*z + 471*h*w*z + 2*w**3*z - 2*w**3 + z wrt w. -618*h*w*z + 12*w*z - 12*w Differentiate -4*a**4 - 34*a + 380 with respect to a. -16*a**3 - 34 Find the third derivative of 1718*y**5 + 3225*y**2 wrt y. 103080*y**2 Find the second derivative of 132*l**4 + 2*l**3 + 2*l - 79. 1584*l**2 + 12*l What is the first derivative of 7824*p + 8777 wrt p? 7824 What is the third derivative of -431*l**6 - 685*l**2 - 1 wrt l? -51720*l**3 What is the first derivative of 8*b**2 - 54*b - 2662 wrt b? 16*b - 54 Find the second derivative of 24*u**5 + 4*u**2 + 4*u - 33. 480*u**3 + 8 What is the second derivative of 80*h**5 + h**2 + 9833*h + 2? 1600*h**3 + 2 Differentiate -222*n*s**3 + 2*n*s**2 + 3123*n + 2*s**3 wrt s. -666*n*s**2 + 4*n*s + 6*s**2 Find the second derivative of -4*a**2*v**2 - 11*a**2*v + 7*a*v + 24*v**2 wrt v. -8*a**2 + 48 What is the first derivative of -i**4*k**2 + i*k**3 - 4*i*k + 9*k**3 - 13*k**2 wrt i? -4*i**3*k**2 + k**3 - 4*k Differentiate -115*i**3*j + 242*i**3 - 3*i**2 + 2*i*j - j wrt j. -115*i**3 + 2*i - 1 Find the second derivative of 137*k**3*v**2 - 16*k**3*v wrt v. 274*k**3 Find the second derivative of -11788*a**2 + 4722*a. -23576 Differentiate -19*q*w**3 - 2*q*w**2 - 9*w**3 with respect to q. -19*w**3 - 2*w**2 What is the derivative of 2*m*u**3 + 204*m*u**2*y**3 - 2*u**3*y + 18*u**2*y**2 + 3*y**3 wrt m? 2*u**3 + 204*u**2*y**3 Find the second derivative of 175*x**5 + 10*x + 1. 3500*x**3 Find the third derivative of -3*x**6 - 1994*x**5 + 20*x**2 - 3*x - 16 wrt x. -360*x**3 - 119640*x**2 Find the first derivative of 2*f*j**2 + 187*f*j - 2*j**2 - 375*j wrt f. 2*j**2 + 187*j Differentiate 1572*a - 168 with respect to a. 1572 Find the second derivative of 381*i**2 + 3*i + 5. 762 Find the third derivative of 4*j**5 - 20*j**4 + 11*j**2 - 349. 240*j**2 - 480*j Find the third derivative of 184*m**6 - 4*m**2 - 40*m. 22080*m**3 What is the third derivative of 63*t*z**5 + 9*t*z - 14*t - 13*z**5 + 3*z**2 wrt z? 3780*t*z**2 - 780*z**2 What is the first derivative of -7*j**2*p**3 + 127*j*p**3 - p**3 + 662 wrt j? -14*j*p**3 + 127*p**3 Find the third derivative of -6*d*v**6 + 970*d*v**4 - 1586*d*v**2 + 10*d wrt v. -720*d*v**3 + 23280*d*v Differentiate -54*s**4 - 19*s**2 - 732. -216*s**3 - 38*s What is the third derivative of 8*j**4 + 88*j**3 - 2925*j**2 wrt j? 192*j + 528 What is the second derivative of -1524*j*u**2 + 29812*j*u - 4*u**2 wrt u? -3048*j - 8 What is the third derivative of 2*g**6 - 2*g**5 + 179*g**4 - 164*g**2 + g + 2 wrt g? 240*g**3 - 120*g**2 + 4296*g Find the third derivative of -31*n**5 - 13*n**4 + 2*n**3 + 15556*n**2 wrt n. -1860*n**2 - 312*n + 12 What is the first derivative of 2*s**4 - 5*s**2 + 101*s - 4369 wrt s? 8*s**3 - 10*s + 101 Find the second derivative of -37*q**2*s - 6*q**2 + 14*q*s + 5 wrt q. -74*s - 12 Find the third derivative of -2*k**5*u**3 - 161*k**4*u**3 - 102*k**2*u**3 - 3*u**3 wrt k. -120*k**2*u**3 - 3864*k*u**3 What is the derivative of 18*d**2*r**3 + 6*d*r**3 - r**3 - 149 wrt d? 36*d*r**3 + 6*r**3 Find the third derivative of 1344*b*p**4 - b*p**2 - 274*b wrt p. 32256*b*p Find the second derivative of m**3*p**2*u - 29*m**3*p**2 - 3*m**3*p*u - m**3*u + 32*m**2 + m*p*u wrt p. 2*m**3*u - 58*m**3 Differentiate 2*f*l**2 - 2*f*l*w**2 + 2*f*w**2 + 1172*f*w + l**2*w**2 wrt l. 4*f*l - 2*f*w**2 + 2*l*w**2 What is the derivative of 830*m**3 - 687 wrt m? 2490*m**2 What is the first derivative of -51*b**3 - b**2 + 135 wrt b? -153*b**2 - 2*b What is the third derivative of 6581*z**3 - 15654*z**2? 39486 Find the third derivative of -791*n**4*y**2 + n**2*y**2 + 170*n**2*y wrt n. -18984*n*y**2 Differentiate -b*m*t**2 + 6*b*m*t + 97*b + m*t**2 - t**2 wrt m. -b*t**2 + 6*b*t + t**2 Find the third derivative of 4942*p**6 - 118*p**2 - 2*p + 3. 593040*p**3 Find the second derivative of 10104*h**3*p + 10*h*p - 45*p wrt h. 60624*h*p Find the second derivative of 813*n**3 + 3*n**2 + 36*n - 52 wrt n. 4878*n + 6 Differentiate 2*o**2*u*y**2 + 19*o**2*y + 5*o*u*y**2 - 3269*u*y**2 with respect to o. 4*o*u*y**2 + 38*o*y + 5*u*y**2 What is the second derivative of 1048*c*g**2*h + 3*c*g**2*q - 2*c*h*q + 2*g - 10*h*q + 128 wrt g? 2096*c*h + 6*c*q Find the third derivative of 1580*p**6 - 1407*p**2. 189600*p**3 What is the first derivative of 145*f**3 - 10*f**2 - 2573? 435*f**2 - 20*f What is the first derivative of n**4*s**3 - 413*n*s**2 + 653*s**3 wrt n? 4*n**3*s**3 - 413*s**2 What is the third derivative of p*q**3 + 335*p + 4*q**5 + 317*q**4 + 9*q**2 wrt q? 6*p + 240*q**2 + 7608*q What is the second derivative of -4160*w**4 + w - 376 wrt w? -49920*w**2 What is the third derivative of -891*h**4 - 2*h**2 - 27*h? -21384*h What is the third derivative of 1153*t**6 - 712*t**2 wrt t? 138360*t**3 Find the second derivative of -1263*u**4 - 3*u - 94 wrt u. -15156*u**2 Find the first derivative of -3989*a + 1583 wrt a. -3989 What is the second derivative of g**2*m**2 + 4431*g**2*m*v**2 - g**2 - 19*g*m**2*v**2 - 2*g*m*v**2 + 2*g*v**2 - 3*m**2*v**2 + m**2 wrt g? 2*m**2 + 8862*m*v**2 - 2 Find the second derivative of 8*z**4 - 44*z**3 + 156*z wrt z. 96*z**2 - 264*z What is the derivative of -8*f*g**3 - 2*f*g**2 + 29*f*v - 2*g**3*v - 3*g**3 + 11*g**2*v wrt f? -8*g**3 - 2*g**2 + 29*v What is the derivative of 2*s*u*w**2 - s*u*w + 4*s*w**2 - 19*s*w wrt u? 2*s*w**2 - s*w Find the third derivative of -228*b**5*o**2 + 6*b**5*o + 25*b**2*o**2 - 50*b*o**2 wrt b. -13680*b**2*o**2 + 360*b**2*o Differentiate a*m**3 - 316*a*m + 1387*a wrt m. 3*a*m**2 - 316*a What is the derivative of -2087*u**3 - 2410? -6261*u**2 What is the derivative of -221*a**2*b**2*l + 2*a**2*b**2 + 2*a**2*b*l - 123*a**2*b + 2*a**2 wrt l? -221*a**2*b**2 + 2*a**2*b What is the third derivative of -130*g**5*h**3 + 5*g**5*h + g**2 + 1901*h**3 wrt g? -7800*g**2*h**3 + 300*g**2*h What is the second derivative of 388*o**3*r**2 - o**3*r - 9*o*r**2 + 2*r wrt o? 2328*o*r**2 - 6*o*r Differentiate -3*n**3*s**4 - 307*n**3 - 45*s**4 wrt s. -12*n**3*s**3 - 180*s**3 Find the second derivative of -2*c**2*f**3 - 113*c**2 + 1292*c*f**4 - 38*c*f wrt f. -12*c**2*f + 15504*c*f**2 What is the third derivative of 8*b*g*w**2 + 3*b*g + b*w**3 - 4*b*w**2 + 125*g*w**3 wrt w? 6*b + 750*g Find the third derivative of 13*b*h**2 - 71*b*h*r**4 - b*r - 5*h**2*r**3 - h**2*r**2 + 2*h*r**4 - h wrt r. -1704*b*h*r - 30*h**2 + 48*h*r What is the first derivative of 89*q**3 + 648? 267*q**2 What is the derivative of -206*s**3 + 2*s**2*v + 146*v + 1 wrt s? -618*s**2 + 4*s*v What is the second derivative of 440*j**4 + 699*j wrt j? 5280*j**2 Find the second derivative of 2*f**2*s**2*v**2 - 3*f**2*s**2*x**2 + 5*f*s**2*x**2 + 3*f*s**2*x + s**2*v**2*x - v**2*x**2 wrt f. 4*s**2*v**2 - 6*s**2*x**2 What is the third derivative of 2*h**6 + 63*h**5 - 166*h**2? 240*h**3 + 3780*h**2 Find the second derivative of -30*k*r*u**2 - 33*k*u**2 - 134*k*u - r*u - 2*u**2 + 21*u wrt u. -60*k*r - 66*k - 4 Differentiate 3*c*j*u + 2*c*u - 80*c - 1668*j*u - 2*j - u wrt j. 3*c*u - 1668*u - 2 What is the second derivative of -183*w**5 - 34*w - 1 wrt w? -3660*w**3 What is the third derivative of -7*d*n**3 - 5*d*n - 3*n**3 - n**2 + 3 wrt n? -42*d - 18 Find the second derivative of -3*s**4*u - 400*s**4 + 432*s - 2*u - 1 wrt s. -36*s**2*u - 4800*s**2 Differentiate 7*f**2*p*z - 344*f**2*p + 3*f*p*z with respect to z. 7*f**2*p + 3*f*p Differentiate 19*z**3 - 89*z**2 + 2*z - 654 with respect to z. 57*z**2 - 178*z + 2 What is the second derivative of 44*j**4 + 6*j**2 - 443*j wrt j
{ "pile_set_name": "DM Mathematics" }
the l'th term of 4125335, 8250673, 12376011, 16501349, 20626687? 4125338*l - 3 What is the x'th term of 2652120, 5304335, 7956550? 2652215*x - 95 What is the y'th term of 1195212420, 1195212421, 1195212422, 1195212423, 1195212424, 1195212425? y + 1195212419 What is the x'th term of 9344714, 18689475, 28034236? 9344761*x - 47 What is the v'th term of -61635, -125904, -190171, -254436? v**2 - 64272*v + 2636 What is the p'th term of -19332, -19453, -19658, -19941, -20296, -20717? p**3 - 48*p**2 + 16*p - 19301 What is the n'th term of 21347, 170752, 576293, 1366040, 2668063, 4610432, 7321217? 21345*n**3 - 2*n**2 - 4*n + 8 What is the m'th term of -7937, -31695, -71257, -126611, -197745, -284647, -387305, -505707? 2*m**3 - 7914*m**2 - 30*m + 5 What is the r'th term of 2705576, 2705865, 2706152, 2706437? -r**2 + 292*r + 2705285 What is the m'th term of -9285, -8651, -8017? 634*m - 9919 What is the l'th term of 3815, 13274, 29043, 51122, 79511? 3155*l**2 - 6*l + 666 What is the n'th term of -928, -2665, -5142, -8293, -12052? 11*n**3 - 436*n**2 - 506*n + 3 What is the b'th term of 14698318, 14698319, 14698320, 14698321, 14698322? b + 14698317 What is the f'th term of 47242, 55682, 64122? 8440*f + 38802 What is the p'th term of -860219, -1720493, -2580765, -3441035, -4301303? p**2 - 860277*p + 57 What is the b'th term of -24761, -24960, -25293, -25760, -26361, -27096, -27965? -67*b**2 + 2*b - 24696 What is the v'th term of 71753258, 71753250, 71753240, 71753228, 71753214, 71753198, 71753180? -v**2 - 5*v + 71753264 What is the u'th term of 3703, -421, -4545, -8669, -12793? -4124*u + 7827 What is the g'th term of 31193, 62344, 93495, 124646, 155797? 31151*g + 42 What is the q'th term of 6242824, 12485651, 18728478, 24971305, 31214132? 6242827*q - 3 What is the f'th term of -162364408, -162364411, -162364418, -162364429? -2*f**2 + 3*f - 162364409 What is the p'th term of -2656165, -2656181, -2656197? -16*p - 2656149 What is the n'th term of 94465, 189765, 285065, 380365, 475665? 95300*n - 835 What is the z'th term of 12643, 50564, 113781, 202306, 316151, 455328, 619849? 2*z**3 + 12636*z**2 - z + 6 What is the n'th term of 7635, 10385, 14961, 21357, 29567? -n**3 + 919*n**2 + 6717 What is the h'th term of -15562, -16957, -18356, -19759, -21166? -2*h**2 - 1389*h - 14171 What is the s'th term of -10292502, -20584921, -30877160, -41169129, -51460738, -61751897, -72042516? 15*s**3 - 10292524*s + 7 What is the c'th term of -1121, 13744, 38513, 73186? 4952*c**2 + 9*c - 6082 What is the l'th term of -63420, -126848, -190282, -253722? -3*l**2 - 63419*l + 2 What is the o'th term of 8091733, 16183586, 24275441, 32367298? o**2 + 8091850*o - 118 What is the l'th term of -3040079, -6080161, -9120243, -12160325, -15200407? -3040082*l + 3 What is the w'th term of -98431, -197046, -295995, -395446, -495567? -28*w**3 + w**2 - 98422*w + 18 What is the m'th term of 15163, -5598, -40199, -88640, -150921, -227042? -6920*m**2 - m + 22084 What is the q'th term of -3782713, -7565427, -11348141, -15130855, -18913569, -22696283? -3782714*q + 1 What is the a'th term of -29775, -67157, -104539, -141921, -179303, -216685? -37382*a + 7607 What is the v'th term of -11291, -22790, -34403, -46124, -57947, -69866, -81875, -93968? v**3 - 63*v**2 - 11317*v + 88 What is the d'th term of 13447738, 26895482, 40343228, 53790976? d**2 + 13447741*d - 4 What is the k'th term of -7601, -28139, -62369, -110291, -171905, -247211, -336209? -6846*k**2 - 755 What is the z'th term of 50135, 100245, 150335, 200405, 250455, 300485, 350495? -10*z**2 + 50140*z + 5 What is the k'th term of -21998, -87945, -197856, -351731, -549570, -791373? -21982*k**2 - k - 15 What is the l'th term of -11723, -11926, -12487, -13586, -15403, -18118, -21911, -26962? -30*l**3 + l**2 + 4*l - 11698 What is the s'th term of -1293, -5472, -12457, -22260, -34893, -50368, -68697, -89892? -2*s**3 - 1391*s**2 + 8*s + 92 What is the z'th term of -753, -1540, -2333, -3132, -3937, -4748? -3*z**2 - 778*z + 28 What is the n'th term of 119939, 129676, 139423, 149186, 158971? n**3 - n**2 + 9733*n + 110206 What is the w'th term of -75836, -78659, -81482, -84305, -87128? -2823*w - 73013 What is the y'th term of 20360, 20356, 20346, 20330, 20308, 20280, 20246? -3*y**2 + 5*y + 20358 What is the g'th term of -286, -2143, -7094, -16657, -32350, -55691, -88198? -253*g**3 - 29*g**2 + g - 5 What is the g'th term of 528, 1257, 2156, 3201, 4368, 5633? -4*g**3 + 109*g**2 + 430*g - 7 What is the k'th term of 1105, 4000, 8733, 15304, 23713? 919*k**2 + 138*k + 48 What is the i'th term of -636535868, -636535869, -636535870, -636535871? -i - 636535867 What is the x'th term of -16386271, -16386265, -16386259, -16386253, -16386247? 6*x - 16386277 What is the t'th term of 3393545, 6786982, 10180407, 13573814, 16967197, 20360550? -t**3 + 3393444*t + 102 What is the u'th term of 7258, 14654, 22184, 29842, 37622, 45518, 53524? -u**3 + 73*u**2 + 7184*u + 2 What is the b'th term of 22601, 21134, 19667, 18200, 16733, 15266? -1467*b + 24068 What is the t'th term of 130, 56, -100, -326, -610, -940? 2*t**3 - 53*t**2 + 71*t + 110 What is the a'th term of -12050, -24008, -35872, -47642, -59318? 47*a**2 - 12099*a + 2 What is the k'th term of -21570, -21660, -21868, -22242, -22830, -23680, -24840, -26358? -8*k**3 - 11*k**2 - k - 21550 What is the v'th term of 273895, 1095553, 2464979, 4382173, 6847135, 9859865? 273884*v**2 + 6*v + 5 What is the d'th term of 180, 164, 148, 138, 140, 160, 204? d**3 - 6*d**2 - 5*d + 190 What is the b'th term of -10593, -41240, -91943, -162702? -10028*b**2 - 563*b - 2 What is the s'th term of -784, -1052, -272, 2084, 6544, 13636, 23888? 88*s**3 - 4*s**2 - 872*s + 4 What is the h'th term of -302595, -605465, -908335, -1211205? -302870*h + 275 What is the o'th term of 140166, 560676, 1261532, 2242734, 3504282, 5046176, 6868416? 140173*o**2 - 9*o + 2 What is the b'th term of 9580919, 9580916, 9580913? -3*b + 9580922 What is the h'th term of 710588, 1421090, 2131590, 2842088, 3552584? -h**2 + 710505*h + 84 What is the m'th term of 27836443, 27836437, 27836427, 27836413, 27836395? -2*m**2 + 27836445 What is the j'th term of 133, 173, 193, 187, 149, 73? -j**3 - 4*j**2 + 59*j + 79 What is the y'th term of 989907, 1979387, 2968867, 3958347, 4947827, 5937307? 989480*y + 427 What is the m'th term of -2686, -21401, -72152, -170941, -333770? -2667*m**3 - 16*m**2 + 2*m - 5 What is the d'th term of 3947, 7850, 11705, 15512, 19271, 22982, 26645? -24*d**2 + 3975*d - 4 What is the h'th term of 12849, 53121, 120239, 214197, 334989, 482609? -h**3 + 13429*h**2 - 8*h - 571 What is the y'th term of 3947, 2415, 883, -649, -2181? -1532*y + 5479 What is the h'th term of -275984, -275999, -276038, -276113, -276236, -276419, -276674, -277013? -2*h**3 - h - 275981 What is the k'th term of -25708, -50288, -74868, -99448? -24580*k - 1128 What is the u'th term of -48, -387, -1270, -2973, -5772, -9943, -15762? -46*u**3 + 4*u**2 - 29*u + 23 What is the p'th term of -6859, -13966, -21065, -28156, -35239? 4*p**2 - 7119*p + 256 What is the z'th term of -181949, -182239, -182529, -182819, -183109, -183399? -290*z - 181659 What is the k'th term of 1614015, 3228037, 4842059, 6456081, 8070103? 1614022*k - 7 What is the v'th term of 76326539, 76326541, 76326543, 76326545, 76326547, 76326549? 2*v + 76326537 What is the z'th term of 128171, 127998, 127711, 127310, 126795? -57*z**2 - 2*z + 128230 What is the x'th term of -233613281, -467226562, -700839843, -934453124, -1168066405? -233613281*x What is the x'th term of 7283, 7204, 7067, 6872, 6619, 6308? -29*x**2 + 8*x + 7304 What is the h'th term of 5524704, 5524898, 5525092, 5525286, 5525480? 194*h + 5524510 What is the k'th term of 10502, 10684, 10868, 11054? k**2 + 179*k + 10322 What is the p'th term of 1076815, 2153684, 3230563, 4307458, 5384375, 6461320, 7538299? p**3 - p**2 + 1076865*p - 50 What is the f'th term of -379485, -759256, -1139029, -1518804, -1898581, -2278360, -2658141? -f**2 - 379768*f + 284 What is the w'th term of 17514, 33738, 49962, 66186? 16224*w + 1290 What is the m'th term of -8281490, -8281492, -8281494, -8281496, -8281498, -8281500? -2*m - 8281488 What is the z'th term of 7122, 7104, 7028, 6870, 6606, 6212,
{ "pile_set_name": "DM Mathematics" }
Solve -106*s + 121*s = -75 for s. -5 Solve 22*s + 20*s - 168 = 0 for s. 4 Solve 3 = -9*l + 30 for l. 3 Solve 25*z = -z - 14*z for z. 0 Solve 20*i - 140 + 280 = 0 for i. -7 Solve 3*l - 40 = 13*l for l. -4 Solve 81 = -3*r + 78 for r. -1 Solve 0 = -10*f + 159 - 199 for f. -4 Solve 0 = -11*n + 17*n - 12 for n. 2 Solve -192*a + 185*a = -7 for a. 1 Solve 24*x = -65*x + 178 for x. 2 Solve 0 = -2*g + 4*g - 6 for g. 3 Solve -16*b + 19*b = -12 for b. -4 Solve 43*z + 54 = 34*z for z. -6 Solve -25*o + 8 = -21*o for o. 2 Solve -6 = -18*h + 12 for h. 1 Solve 5*h - 141 = -116 for h. 5 Solve 0 = -1006*m + 999*m + 7 for m. 1 Solve 0 = 50*d - 172*d + 976 for d. 8 Solve -9*m + 0*m + 18 = 0 for m. 2 Solve 2*l + 0 + 2 = 0 for l. -1 Solve -22*g + 54 - 10 = 0 for g. 2 Solve 2*w = 6*w + 12 for w. -3 Solve 0 = -60*z + 89*z + 87 for z. -3 Solve 4*m - 2 = 3*m for m. 2 Solve -13*j - 411 = -437 for j. 2 Solve 11*v = 25*v + 42 for v. -3 Solve 18 = -n + 13 for n. -5 Solve 0 = 12*f + 142 - 130 for f. -1 Solve -5*p + 20 = -9*p for p. -5 Solve 9*y + 547 = 574 for y. 3 Solve -45*u - 36 = -36*u for u. -4 Solve 24 = -9*v + 15 for v. -1 Solve 0*h - 7*h = -14 for h. 2 Solve -19 = 4*r - 23*r for r. 1 Solve 125*a = 120*a + 15 for a. 3 Solve -1 = 14*s - 1 for s. 0 Solve -5*c + c - 12 = 0 for c. -3 Solve 4*r - 1110 = -1114 for r. -1 Solve q - 52 = -47 for q. 5 Solve -14*r + 0*r = 14 for r. -1 Solve -3*f = -13 + 1 for f. 4 Solve -176*c - 175 = -201*c for c. 7 Solve 6*x - 247 + 271 = 0 for x. -4 Solve 41*o = -58*o + 396 for o. 4 Solve 5*w + 8*w = -39 for w. -3 Solve -124 = 18*m + 13*m for m. -4 Solve -4*h = 6 + 2 for h. -2 Solve 19*r - 5 = 14 for r. 1 Solve -10 = u - 15 for u. 5 Solve 15*s + 151 - 241 = 0 for s. 6 Solve 5*y - 3 = -28 for y. -5 Solve -6 = 27*w - 33*w for w. 1 Solve -100*r + 97*r = 0 for r. 0 Solve -7*i - 5*i - 60 = 0 for i. -5 Solve 27*u - 4 = 23*u for u. 1 Solve -1 = -10*f - 1 for f. 0 Solve -22*w + 13 = -53 for w. 3 Solve -6130 + 6080 = 5*j for j. -10 Solve -63*u + 54 = -54*u for u. 6 Solve 36 = 5*x + 16 for x. 4 Solve -2*t + 77 = 83 for t. -3 Solve -j - 4*j + 15 = 0 for j. 3 Solve 222*r - 221*r + 8 = 0 for r. -8 Solve -14 = 6*t - 13*t for t. 2 Solve -7 + 5 = z for z. -2 Solve -1203 = 6*s - 1167 for s. -6 Solve 59 - 41 = 6*r for r. 3 Solve -13*z + 32*z - 19 = 0 for z. 1 Solve 2*k = 124 - 116 for k. 4 Solve 18*r = -36*r for r. 0 Solve -43*m - 22*m = 520 for m. -8 Solve 10*r = 12 + 28 for r. 4 Solve 21*v - 37*v - 48 = 0 for v. -3 Solve -14*a + 88 = 32 for a. 4 Solve 19*m - 74 = -17 for m. 3 Solve 0 = -30*d + 34 - 124 for d. -3 Solve 105*w + 2 = 106*w for w. 2 Solve -14*h + 7*h + 35 = 0 for h. 5 Solve 0 = 208*i - 258*i - 450 for i. -9 Solve 130 = 41*t - 15*t for t. 5 Solve -5*t + 21*t - 48 = 0 for t. 3 Solve -c = 2*c + 3*c for c. 0 Solve -6*i = -4 - 2 for i. 1 Solve 3*k + 253 = 232 for k. -7 Solve 0 = -5*s - 35*s + 120 for s. 3 Solve 8 = -6*t + 2 for t. -1 Solve 0 = -2512*t + 2539*t + 81 for t. -3 Solve w + 4 = 1 for w. -3 Solve -30*c - 20 = -26*c for c. -5 Solve 0 = -12*q - 51 - 21 for q. -6 Solve 315*z + 100 = 295*z for z. -5 Solve 13 - 9 = 2*m for m. 2 Solve 385 = 284*i - 319*i for i. -11 Solve 11 = -3*b - 10 for b. -7 Solve 43 = 17*o + 9 for o. 2 Solve 37*l + 66 = -45 for l. -3 Solve -1 + 10 = -3*l for l. -3 Solve 33 = 3*l + 8*l for l. 3 Solve 12*y + 2 = 13*y for y. 2 Solve 27*k + 12*k = 7*k for k. 0 Solve 40*m + 65 = 27*m for m. -5 Solve -17*f = 31 + 37 for f. -4 Solve 7*a = -3*a + 40 for a. 4 Solve 3 = -7*v - 11 for v. -2 Solve -r - 11 = -9 for r. -2 Solve 18*g + 40 = 10*g for g. -5 Solve -16*c - 44 = 20 for c. -4 Solve 114 = 3*j + 111 for j. 1 Solve 11 = 6*g + 5*g for g. 1 Solve 8 = -5*h - 2 for h. -2 Solve -10*b = 7*b + 17 for b. -1 Solve -153*z - 5 = -154*z for z. 5 Solve y = -0*y + 5 for y. 5 Solve 12*a - 14 + 98 = 0 for a. -7 Solve 60*q + 43*q = 206 for q. 2 Solve 19 = -46*o - 395 for o. -9 Solve 12 = 5*x - 23 for x. 7 Solve 84 = -2*r + 70 for r. -7 Solve -2*d + 3 = 13 for d. -5 Solve -634*y = -635*y + 2 for y. 2 Solve -4*s + 13 = 21 for s. -2 Solve 0 = 2*p + 403 - 411 for p. 4 Solve 175 = 132*u - 107*u for u. 7 Solve -221*a + 191*a = 150 for a. -5 Solve 0 = -16*f - 19 - 29 for f. -3 Solve 25*v - 106*v = 81 for v. -1 Solve -34*t - 7 + 109 = 0 for t. 3 Solve -23 = -43*p + 20 for p. 1 Solve -31 = v - 25 for v. -6 Solve 81*t = 75*t - 30 for t. -5 Solve v + 137 = 129 for v. -8 Solve 0 = -2*u - 18 + 26 for u. 4 Solve 48*w = 52*w + 28 for w. -7 Solve -8 - 8 = 8*g for g. -2 Solve 8*c = 5*c + 9 for c. 3 Solve 17*q + 4 = -13 for q. -1 Solve -4*o + 155 = 163 for o. -2 Solve -13*m + 167 - 141 = 0 for m. 2 Solve 32 = 3*m + 20 for m. 4 Solve -21*p - 396 = -120*p for p. 4 Solve -2*y - 12 + 4 = 0 for y. -4 Solve -b = 10*b for b. 0 Solve 195 = -2*k + 41*k for k. 5 Solve -22 = -3*d - 16 for d. 2 Solve 0 = -2*w - 4*w + 12 for w. 2 Solve 0 = 12*k - 261 + 393 for k. -11 Solve -100 = -12*z - 8*z for z. 5 Solve 0 = -9*c + 11*c + 2 for c. -1 Solve -6*g = g - 14 for g. 2 Solve 4*x - 4*x = -3*x for x. 0 Solve 13*k - 2*k = 0 for k. 0 Solve 135*h - 128*h = 49 for h. 7 Solve 0 = 2*h + 5 - 9 for h. 2 Solve -57 = 43*s - 14 for s. -1 Solve -40*j + 2 + 118 = 0 for j. 3 Solve 0 = -0*m - m + 2 for m. 2 Solve 0 = -60*k + 26 - 26 for k. 0 Solve 18*j - 23*j = 45 for j. -9 Solve 70*f = 67*f - 3 for f. -1 Solve 6*n = 11*n + 5 for n. -1 Solve 10*n - 8 = 8*n for n. 4 Solve 0 = 187*y - 190*y for y. 0 Solve -6*r = -72 + 60 for r. 2 Solve 0 = -25*o + 24*o + 3 for o. 3 Solve 1 = 20*t + 21 for t. -1 Solve 15*b - 74*b = 236 for b. -4 Solve -7*r = -15*r + 16 for r. 2 Solve -25*n = 3*n for n. 0 Solve 9*l - 17*l - 40 = 0 for l. -5 Solve -10*b - 6 = -4*b for b. -1 Solve 0 = -19*r - 14 + 71 for r. 3 Solve -f + 32 - 33 = 0 for f. -1 Solve 0 = 13*w - 94 + 29 for w. 5 Solve -69*a = -54*a + 75 for a. -5 Solve 119*x = 126*x - 63 for x. 9 Solve -21*a + 4 = 67 for a. -3 Solve 14*n + 78 = 27*n for n. 6 Solve 3*w = -2462 + 2486 for w. 8 Solve -25*b = 73 - 173 for b. 4 Solve 3 = 5*u + 23 for u. -4 Solve 34 - 26 = -t for t. -8 Solve 0 = z - 2 + 8 for z. -6 Solve -22 = 5*y - 7 for y. -3 Solve -5 = 14*h - 15*h for h. 5 Solve -32 = 16*n - 20*n for n. 8 Solve -277 - 11 = -72*v for v. 4 Solve -69*a = -66*a + 21 for a. -7 Solve 50 = -44*d - 170 for d. -5 Solve 1 = 26*w + 1 for w. 0 Solve -253*t - 10 = -255*t for t. 5 Solve 0 = -9*d + 8*d - 13*d for d. 0 Solve -3*h + 35 = 47 for h. -4 Solve 80 + 19 = 33*q for q. 3 Solve 14*m - 25*m = -44 for m. 4 Solve 27 = -56*v - 29 for v. -1 Solve 42*x + 25 = 37*x for x. -5 Solve -99 = -65*w + 31 for w. 2 Solve -1840*z = -1837*z - 6 for z. 2 Solve 9*r + 79 - 34 = 0 for r. -5 Solve -2 = -18*k + 88 for k. 5 Solve -2*q - 22 = -26 for q. 2 Solve -t = 31 - 27 for t. -4 Solve 8 = -4*j + 24 for j. 4 Solve 0 = -28*t + 20*t for t. 0 Solve -7*c + 10 = 59 for c. -7 Solve -37*c - 65 + 324 = 0 for c. 7 Solve 5*j + 24 = 14 for j. -2 Solve -33 - 7 = -8*i for i. 5 Solve 41 = -3*y + 26 for y. -5 Solve -910*g - 84 = -898*g for g. -7 Solve -27*i - 42 = -48*i for i. 2 Solve -11 = x - 12 for x. 1 Solve -22*p = -0*p - 110 for p. 5 Solve -11*b - 72 = 25*b for b. -2 Solve 10*o + 15 = 5 for o. -1 Solve 93 = -22*r - 17 for r. -5 Solve 17*k + 20*k + 296 = 0 for k. -8 Solve 17 = q + 15 for q. 2 Solve 33 = -5*r + 18 for r. -3 Solve -64 + 43 = 3*a for a. -7 Solve -29 + 62 = -11*c for c. -3 Solve -19*m - 44 - 51 = 0 for m. -5 Solve 0 = 24*u + 329 - 209 for u. -5 Solve -117*d - 414 = -71*d for d. -9 Solve 10*r = 20*r - 70 for r. 7 Solve 16*v - 80 = -4*v for v. 4 Solve -6*w = -19*w - 52 for w. -4 Solve y = -2*y - 3 for y. -1 Solve 242 - 233 = 3*r for r. 3 Solve -26 + 23 = -3*z for z. 1 Solve -15*h = -3*h + 48 for h. -4 Solve 32*i - 12 = 44*i for i. -1 Solve -37*a - 49 + 271 = 0 for a. 6 Solve -8*j = 2 + 22 for j. -3 Solve -3*t - 106 = -100 for t. -2 Solve -3*w = -5*w - 8 for w. -4 Solve 69 - 234 = -33*p for p. 5 Solve -50*w + 48*w + 10 = 0 for w. 5 Solve -5*i - 7*i = -12 for i. 1 Solve 6*g - 31*g = -25 for g. 1 Solve 18 = 9*y + 9 for y. 1 Solve -7*r = 237 - 272 for r. 5 Solve -3 = -0*g - 3*g for g. 1 Solve -h = 873 - 884 for h. 11 Solve -81*k + 170 = -64*k for k. 10 Solve -103 + 40 = 9*s for s. -7 Solve -43*z - 110 - 105 = 0 for z. -5 Solve -2*m + 4 = 12 for m. -4 Solve 5*m + 108 = 113 for m. 1 Solve -3*o - 8 + 14 = 0 for
{ "pile_set_name": "DM Mathematics" }
without replacement from {z: 3}. Give prob of sequence zz. 1 Calculate prob of sequence ggg when three letters picked without replacement from {g: 7, h: 6}. 35/286 Three letters picked without replacement from {l: 4, b: 2, d: 1, u: 5, k: 1, m: 7}. What is prob of sequence mbb? 7/3420 Three letters picked without replacement from gzkukqg. Give prob of sequence zkq. 1/105 What is prob of sequence nq when two letters picked without replacement from {a: 2, n: 1, q: 1, h: 1}? 1/20 Calculate prob of sequence wqb when three letters picked without replacement from bwqw. 1/12 Two letters picked without replacement from {m: 3, q: 4}. What is prob of sequence qq? 2/7 Three letters picked without replacement from {n: 1, o: 3, v: 5, g: 4}. What is prob of sequence ong? 1/143 Calculate prob of sequence fh when two letters picked without replacement from ffofofqqqqh. 2/55 Calculate prob of sequence qqmd when four letters picked without replacement from {d: 8, q: 7, f: 3, m: 2}. 28/4845 Two letters picked without replacement from {p: 1, n: 1, u: 2, b: 1}. Give prob of sequence pb. 1/20 What is prob of sequence oh when two letters picked without replacement from iiihatohottaihi? 1/35 What is prob of sequence na when two letters picked without replacement from {l: 1, n: 1, s: 4, a: 2, d: 2, x: 2}? 1/66 What is prob of sequence eggy when four letters picked without replacement from tgbebgtgetebyekygeyt? 1/646 Two letters picked without replacement from {b: 3, n: 1, l: 2, t: 4}. What is prob of sequence tn? 2/45 Two letters picked without replacement from {i: 1, l: 1, o: 3, z: 3, v: 3}. Give prob of sequence li. 1/110 Calculate prob of sequence gss when three letters picked without replacement from sgsggsgssssps. 56/429 Calculate prob of sequence kb when two letters picked without replacement from {b: 5, e: 1, n: 3, k: 3}. 5/44 Four letters picked without replacement from rrrrrrr. Give prob of sequence rrrr. 1 Calculate prob of sequence aw when two letters picked without replacement from {w: 1, n: 1, a: 2, i: 3, c: 2, r: 8}. 1/136 What is prob of sequence lhk when three letters picked without replacement from uslklhlpuslpl? 5/1716 Calculate prob of sequence mkjk when four letters picked without replacement from {j: 2, k: 8, m: 2}. 28/1485 What is prob of sequence mmmu when four letters picked without replacement from uuummmu? 1/35 Calculate prob of sequence dvl when three letters picked without replacement from dzzxzddlddv. 1/198 Four letters picked without replacement from rmkhe. What is prob of sequence krhm? 1/120 Four letters picked without replacement from emmmeeqyeeqq. What is prob of sequence emye? 1/198 What is prob of sequence oo when two letters picked without replacement from oogog? 3/10 Three letters picked without replacement from {z: 3, i: 1, l: 4, q: 5, x: 1, k: 3}. Give prob of sequence zlq. 1/68 What is prob of sequence oooo when four letters picked without replacement from {o: 7}? 1 Calculate prob of sequence rzrr when four letters picked without replacement from rzzzrzrzzzzzrzrz. 11/728 What is prob of sequence nqep when four letters picked without replacement from wpqqxne? 1/420 Four letters picked without replacement from ppnlhjhtnph. What is prob of sequence pphl? 1/440 Two letters picked without replacement from {k: 8, a: 3, b: 7}. Give prob of sequence ba. 7/102 Calculate prob of sequence dd when two letters picked without replacement from addddaadisaadaaaa. 15/136 Three letters picked without replacement from qrogoovvevqvrqrvrrgq. Give prob of sequence egv. 1/684 Four letters picked without replacement from {f: 9, j: 1, i: 2, c: 4, h: 2, t: 2}. Give prob of sequence fjtc. 1/1615 Calculate prob of sequence zkar when four letters picked without replacement from kajsrzs. 1/840 What is prob of sequence xx when two letters picked without replacement from {u: 5, x: 7}? 7/22 Two letters picked without replacement from teeeestttestswestst. Give prob of sequence ts. 35/342 Four letters picked without replacement from pzppzpppppzp. Give prob of sequence zpzp. 2/55 Two letters picked without replacement from kwkwkwtktwwtk. What is prob of sequence kw? 25/156 Calculate prob of sequence kx when two letters picked without replacement from {t: 1, k: 1, x: 1}. 1/6 What is prob of sequence gn when two letters picked without replacement from {j: 4, g: 1, x: 2, n: 5, l: 2}? 5/182 Four letters picked without replacement from rifqhori. What is prob of sequence hoif? 1/840 Three letters picked without replacement from {g: 4, v: 1, y: 6}. Give prob of sequence vgy. 4/165 Two letters picked without replacement from {u: 4, k: 2, l: 1, f: 2, p: 1}. Give prob of sequence kk. 1/45 Two letters picked without replacement from mmsssmmsmsssssssssss. What is prob of sequence mm? 1/19 Calculate prob of sequence gxpu when four letters picked without replacement from {x: 1, g: 6, u: 1, m: 2, j: 2, p: 7}. 7/15504 Three letters picked without replacement from ggrrggrgrgrr. Give prob of sequence rrr. 1/11 What is prob of sequence wya when three letters picked without replacement from aluylwey? 1/168 Calculate prob of sequence lb when two letters picked without replacement from lblbbbbb. 3/14 What is prob of sequence xnct when four letters picked without replacement from tpxncqcx? 1/420 Two letters picked without replacement from llpvplvlv. What is prob of sequence vl? 1/6 Four letters picked without replacement from uuysecu. What is prob of sequence uuus? 1/140 What is prob of sequence qq when two letters picked without replacement from lqlqlqqlqqlqllqqqnll? 9/38 Two letters picked without replacement from nnnnngdngdnndnndndnn. Give prob of sequence dn. 13/76 Calculate prob of sequence hz when two letters picked without replacement from hkhz. 1/6 Calculate prob of sequence qs when two letters picked without replacement from kxqkqqyykqs. 2/55 Calculate prob of sequence ggg when three letters picked without replacement from {m: 1, f: 2, n: 1, g: 2}. 0 Three letters picked without replacement from {t: 2, j: 2, m: 3, z: 9}. Give prob of sequence mjz. 9/560 Two letters picked without replacement from jrjrrjvrr. What is prob of sequence vj? 1/24 Two letters picked without replacement from {h: 2, l: 1, e: 1, n: 9}. What is prob of sequence nh? 3/26 Two letters picked without replacement from iishsh. Give prob of sequence ih. 2/15 Three letters picked without replacement from {b: 6, k: 6}. Give prob of sequence kbb. 3/22 What is prob of sequence dee when three letters picked without replacement from {d: 2, e: 2, c: 9, r: 5}? 1/1224 What is prob of sequence be when two letters picked without replacement from fttttfbetbeettt? 1/35 Two letters picked without replacement from owkowwwwkwkkkwk. What is prob of sequence ko? 2/35 What is prob of sequence xl when two letters picked without replacement from {f: 2, l: 4, x: 3}? 1/6 Calculate prob of sequence rwr when three letters picked without replacement from {r: 2, h: 7, n: 1, w: 2}. 1/330 Calculate prob of sequence zn when two letters picked without replacement from zssnsskks. 1/72 What is prob of sequence sxsj when four letters picked without replacement from {j: 1, w: 5, x: 1, s: 3, l: 1, n: 1}? 1/1980 Calculate prob of sequence ff when two letters picked without replacement from vff. 1/3 Calculate prob of sequence ccc when three letters picked without replacement from {b: 8, c: 9, y: 2}. 28/323 What is prob of sequence fff when three letters picked without replacement from ffiiffiipffippff? 1/10 Three letters picked without replacement from {t: 2, e: 5}. What is prob of sequence tet? 1/21 Calculate prob of sequence tyg when three letters picked without replacement from gggyypgoypptopygpggc. 7/1710 What is prob of sequence rfrf when four letters picked without replacement from {t: 7, f: 3, r: 4}? 3/1001 Four letters picked without replacement from {z: 1, b: 5, c: 4, y: 9, q: 1}. Give prob of sequence yzcz. 0 Three letters picked without replacement from {e: 1, p: 1, w: 5, d: 2}. Give prob of sequence ded. 1/252 Two letters picked without replacement from qkqakqkaqq. What is prob of sequence qq? 2/9 What is prob of sequence zr when two letters picked without replacement from izivirivvvviiivvivi? 1/342 Four letters picked without repl
{ "pile_set_name": "DM Mathematics" }
v*v*v**(-5)/v)/(v**(-13)/v)**(-48) assuming v is positive. v**(-675) Simplify ((t*t/(t**(-20)/t)*t)/(t*t**(-25)))/((t**(1/23)*t)/((t*t/t**(-15))/t*t)) assuming t is positive. t**(1471/23) Simplify p**(-2)/p**(-7)*(p**(3/2))**(-1/5) assuming p is positive. p**(47/10) Simplify ((x/(x**0*x))**(-19/3)*(x*(x/(x*(x*x**1)/x))/x*x)**(-33))**(-1/4) assuming x is positive. 1 Simplify s*s**(1/19)*s/(s*((s*s**(-1/3))/s)/s)*(s**6*s*s)/s**(-2/11) assuming s is positive. s**(6626/627) Simplify o*o**(2/11)*o**(-14)*o**(6/17)/o*o/(o/(o*o*o*o**(2/57))) assuming o is positive. o**(-111175/10659) Simplify (o**(-10)/o**(-10)*o**3*(((o**(-3)*o)/o)/o)/o)**(-1/46) assuming o is positive. o**(1/23) Simplify t/((t/(t/(t/(t*t/t**(8/7)*t*t)*t)))/t)*t/t**(-2)*t**(-25)*t*t*t**26 assuming t is positive. t**(62/7) Simplify ((b*b/(b*b**1))/b*b/(b/b**(-1/14)))/(b**(6/13)/(b*b**(-16))) assuming b is positive. b**(-3009/182) Simplify (s**(-9/2)/s**(17/3))/(s**(3/2)/s)**(-2/79) assuming s is positive. s**(-4813/474) Simplify (s/(s/(s*s/((s/s**5*s*s)/s)))*s*s*s*s*s*s*(s*s**(-1))/s)/(s**(-9)*s/s**13) assuming s is positive. s**31 Simplify ((p/((p**(-2)*p)/p))/p)**8*p**(-2/7)/p**(-1/20) assuming p is positive. p**(2207/140) Simplify (g**(-2/3)/g*g*g)**(-31)*(g/(g**7/g))/(g/(g/(((g*(((g**(-16)/g)/g)/g)/g*g*g)/g)/g))*g) assuming g is positive. g**(8/3) Simplify j**(-1/7)*j*j**(-18)*(j**6)**37 assuming j is positive. j**(1434/7) Simplify q*q**14*q*q*q*q**(-13/2)*(q**1)**(-2) assuming q is positive. q**(19/2) Simplify i**(-2/9)/i**(-2)*(i**(4/5)/i*i)/(i*i**(1/3)*i) assuming i is positive. i**(11/45) Simplify (h**(-29)/(h*h**(12/13)))**(8/9) assuming h is positive. h**(-1072/39) Simplify (p*p/p**16*p/p**(1/2)*p)/(p**(-13)*p*p*p**25) assuming p is positive. p**(-53/2) Simplify w**(-4/5)*w/(w**(-8)/w)*w*(w*w/w**(-2))/w*w*w**3/w assuming w is positive. w**(81/5) Simplify ((k/(k/(k/(k*k**(-1/5))))*((k/k**3)/k)/k)/(k**(3/11)/(k*k*k/(k*(k/(k*k**7))/k))))**(2/93) assuming k is positive. k**(652/5115) Simplify ((((x*x*x**(-1))/x*x)/(x*x**4))**(-34))**31 assuming x is positive. x**4216 Simplify (v*(v/v**(-2/5))/v)**(4/11)/((v*v/v**(-1/5)*v)/v**(12/5)) assuming v is positive. v**(-16/55) Simplify ((k**(-1/3)*k*k)/k**(-11))**25 assuming k is positive. k**(950/3) Simplify ((r**(-2/3)*r)**10*(r**(1/2)/r)/r**(-5))**(-25/3) assuming r is positive. r**(-1175/18) Simplify (o*o**(1/4)*o)**(7/3)*o**31*o/(o**(4/15)/o) assuming o is positive. o**(2279/60) Simplify (((y/y**12)/(y/y**(-12)))/(y**(-1/2)/y)**(3/8))**(-5/11) assuming y is positive. y**(1875/176) Simplify (n**(-23)/(n/n**12))/((n*n/(n*(n/((n/n**12)/n))/n))/(n**(-2/9)/n)) assuming n is positive. n**(-20/9) Simplify ((w*w**(-1/2))**(12/11)*w**(-6)*w/((w**(1/8)/w)/w))**(1/4) assuming w is positive. w**(-227/352) Simplify (x**(-3/11))**(-13)*(x/((x*x**(6/13))/x))/x**(1/3) assuming x is positive. x**(1609/429) Simplify ((i*i*i**(-2)*i)**(-7/11)*(i*i**12*i*i)/i**(3/10))**36 assuming i is positive. i**(27846/55) Simplify (u*u**(8/3)*u**12*(u/u**(2/11))**(8/3))**(-3/25) assuming u is positive. u**(-589/275) Simplify v**(-1/2)/(v**(4/5)/v)*v*v**11*v/((v*v**(-8/11)/v)/v) assuming v is positive. v**(1587/110) Simplify ((y/((y**(2/29)*y*y*y)/y))/(((y/y**(-1))/y)/y))/(y**(-2/11)*y*y*y**(2/5)) assuming y is positive. y**(-5243/1595) Simplify (o**(-14))**(-30)*(o/(o*o**(-2/7)))**(-6) assuming o is positive. o**(2928/7) Simplify a**(-16)*a**15*(a*a**(-7/5)/a*a)/a**9 assuming a is positive. a**(-52/5) Simplify (((h**(-1/7)*h)/(h/h**(-2)))**6)**(-47) assuming h is positive. h**(4230/7) Simplify l**1/l*l/((l/(l**(-1/13)/l))/l)*(l/((l**8/l)/l))**(-35) assuming l is positive. l**(2274/13) Simplify (o*o*o**(-5/3)*o)**31*((o/(o*o**5))/o)**3 assuming o is positive. o**(70/3) Simplify ((t**(-2)/((t*t**6*t)/t))/(t**(-1/5)/(t/t**7)))**(6/23) assuming t is positive. t**(-444/115) Simplify g**(-13)*(g*g**(1/3)/g)/g*(g/((g*g/(g*g**(-1/21)))/g)*g)/g**(1/14) assuming g is positive. g**(-165/14) Simplify (((v**11*v)/(((v/v**(-7))/v)/v))**(-17/4))**(-14/9) assuming v is positive. v**(119/3) Simplify (k**(-7)/(k/(k/(k/(k*k/(k/(k/(k/k**(1/3))))*k*k)))))/(k*k*k**(-2/15)*k*k**10*k*k) assuming k is positive. k**(-293/15) Simplify (p/(p/(p/(p*p*p**(1/5)))))**(-3/5)/((p*p*p**(-18))/p*p/p**(-14/9)) assuming p is positive. p**(3412/225) Simplify (o**(-7))**18*o**(10/11)/o*(o*o**2)/o assuming o is positive. o**(-1365/11) Simplify ((q**(-1/2)*q)**16)**(-1/5) assuming q is positive. q**(-8/5) Simplify (g*(g/(g/g**(1/29)))/g)/(g*g/g**(-17)*g)*g*g**8*g*g**3*g assuming g is positive. g**(-173/29) Simplify (((q**(2/11)/q)/q*q/((q/q**(2/7)*q)/q))**9)**(6/19) assuming q is positive. q**(-6372/1463) Simplify ((q**(-1/2)/(q*q**15/q*q))**(-3/32))**(-5) assuming q is positive. q**(-495/64) Simplify (((p*p/(p*p/p**(2/19))*p)/p)/p**6*p*p**(-1)*p*p**(-3))**(-17/4) assuming p is positive. p**(1275/38) Simplify (((h/h**(-2/7)*h*h)/h*h)**48/(h**(1/6))**27)**(2/73) assuming h is positive. h**(2145/511) Simplify ((q*q**(1/2))**(1/5)/(q/q**(-7/4)*q*q*q/(q/(q*q/q**(-1/3)))*q))**(5/6) assuming q is positive. q**(-467/72) Simplify ((u**3/u**3)**(4/21))**(-19) assuming u is positive. 1 Simplify k**(-15)*k*k*k**(-4)*k/k**(-3)*(k**(1/20)*k)/k assuming k is positive. k**(-259/20) Simplify ((o**(2/45)*o)**(-2/45))**5 assuming o is positive. o**(-94/405) Simplify (((s/(s**(-3/7)/s))/s**(1/5))/((s*s/s**(3/4))/s*s**(-2/7)))**(15/7) assuming s is positive. s**(951/196) Simplify (m/m**(-2/27))**(-23)*(m**8)**2 assuming m is positive. m**(-235/27) Simplify (((l**(11/4)/l*l)/((l/l**(-2)*l)/l))**26)**46 assuming l is positive. l**(-299) Simplify (r**(9/4)*(r**26*r*r)/r)**(-2/31) assuming r is positive. r**(-117/62) Simplify w**(-10)/w*(w**(-5)*w)/w*(w*w**(-30/13)*w*w)/((w*w**(-12))/w) assuming w is positive. w**(-43/13) Simplify ((o/o**4*o*o)/o**(1/4)*(o/o**(-2/3))**(-16))**(-12/5) assuming o is positive. o**67 Simplify (i*i*i**(6/17)*i*i/i**(1/3))/(i**(-2/5))**(-3/10) assuming i is positive. i**(4972/1275) Simplify ((g**(-2))**(-15)/(((g/g**(-2))/g)/g**(2/11)))**(15/7) assuming g is positive. g**(4650/77) Simplify ((t**(-1/7)/t**0)**(-28))**(11/4) assuming t is positive. t**11 Simplify (v**(2/45)*v)/((v**(-10)/v)/v)*(v/v**4)**(-2/21) assuming v is positive. v**(4199/315) Simplify ((d*d/d**2*d)**34*d**(-10)/d**(-5))**(-9) assuming d is positive. d**(-261) Simplify ((x**(-15)*x*x*x/x**(-7)*x)**(5/7))**(-21) assuming x is positive. x**60 Simplify (i**(3/20)*(i/(i/(i/(i/(i/i**(6/17))))))/i)/(i*i/((i**(-21)*i)/i)*(i*i*i**(-39)/i*i)/i) assuming i is positive. i**(5031/340) Simplify r**7*r**(1/5)/r*r*(((r/(r/(r**(-9)/r*r)))/r)/r)/r*r**4 assuming r is positive. r**(-4/5) Simplify ((k/(k**(-1/4)/k))/k*k*k/(k*k*k**1*k)*k)/((k**(1/18)/k)/k**(-13/4)) assuming k is positive. k**(-37/18) Simplify (k*k**(-1))**5/(k**(-8)/((k**(-12)*k)/k)) assuming k is positive. k**(-4) Simplify ((t/((t/t**9)/t))/t*t)**(-2/9)/(t**2*t)**(1/19) assuming t is positive. t**(-407/171) Simplify (x**(9/2)/x)**3*(x*x/(x*x**(7/5)*x*x*x))**(-43) assuming x is positive. x**(1567/10) Simplify (((((w*w**(-2/15)/w*w)/w)/w*w)/w)/(w/w**(-2/3)))/((w*w**2*w)/w)**41 assuming w is positive. w**(-629/5) Simplify y*((y/y**(-17/4))/y)/y*y**(-5/6)*(y**(-5))**(-26/7) assuming y is positive. y**(1847/84) Simplify ((s*s**(1/2))/s**1*s**(-4)*s**(-2/15))**(2/9) assuming s is positive. s**(-109/135) Simplify ((b**(-3/17)/b)/b**33)/(b**(19/2)/(b*b/((b/((b/b**31*b)/b)*b)/b))) assuming b is positive. b**(-2471/34) Simplify v*v*v/(v*v/((v**(1/4)*v)/v)*v)*v*v*v*v**(-3/7)*v*(v/(v/v**4)*v)**(1/53) assuming v is positive. v**(5811/1484) Simplify (p**9*p**(2/15)*p)/(p**6/p*p*p*p*p**(-5/6)) assuming p is positive. p**(89/30) Simplify ((h**(-2/25)*h**1)**40)**30 assuming h is positive. h**1104 Simplify ((u/u**0*u)**(-19)*(u*u/(u/u**(2/27))*u*u)/((u*u/u**(-2/11))/u))**36 assuming u is positive. u**(-42896/33) Simplify (g**(4/21)*g**14)/(g/g**(2/15)*g**(1/31)*g) assuming g is positive. g**(40009/3255) Simplify (c*(c*c/c**(2/15)*c)/c*c)**30*(c/(c/(c**(-6)/c))*c)/c**(-21) assuming c is positive. c**131 Simplify (m**(-14)*m*m**(2/85)*m*m)/(m/(m**(3/16)*m)*m**(1/8)) assuming m is positive. m**(-14843/1360) Simplify ((k*k**(-14))/k**3)/(k*k**7*k/k**0) assuming k is positive. k**(-25) Simplify ((p*(p
{ "pile_set_name": "DM Mathematics" }
se 4*n - 8 = -l, w = n - 5*l + 3 + 16. Determine x(n). -6 Suppose 102 = -8*t + 25*t. Let p(i) be the second derivative of -i**5/20 + i**4/2 + 5*i**2/2 - 7*i. What is p(t)? 5 Let x be 3 + -2 - (7 + -4)*-3. Let w(m) = -5*m + 16. Give w(x). -34 Suppose -2*t - 5*q = -5, 14 = -4*t + 6*t + 2*q. Let s(a) = 2 - 43*a + t + 49*a. What is s(-9)? -42 Suppose -25*w = -3286 - 1714. Let y = 207 - w. Let v(q) = -q**3 + 8*q**2 - 5*q - 9. Calculate v(y). 5 Let i(s) = s**3 + 4*s**2 - 4*s - 2. Let d be 20 + ((-28)/(-35))/(4/(-10)). Suppose -j = 16 - d. Let c be j/(-1)*(-51)/(-34). Give i(c). 19 Let o(j) be the third derivative of j**6/60 + j**5/60 - j**4/24 + j**3/3 + 72*j**2 + j. Suppose 1 = -2*u + 3*k, 4*u - 2*k - 11 = -17. What is o(u)? -8 Let p(j) = 37*j - 36*j + j**2 + 203 - 203. Suppose 3*h = -16 - 2. Determine p(h). 30 Let a be (0 - 1)*-5 - -2. Let s(j) = -2*j**2 + 23*j + 20. Let i = -135 + 146. Let o(w) = w**2 - 12*w - 10. Let g(q) = i*o(q) + 6*s(q). What is g(a)? 3 Let y(t) = 29*t + 59. Let h be (6 - 644/98)*(-3 + (-26)/(-4)). What is y(h)? 1 Let g(b) = -2*b + 2. Let c(v) = 5*v - 3. Let o(l) = 6*c(l) + 13*g(l). What is o(-4)? -8 Let x(c) = 2*c**2 + 2*c - 4. Let h(a) = -a**3 - 6*a**2 + 16*a + 9. Let n be h(-8). Let j be (-9)/((-27)/(-8)) + (-3)/n. Calculate x(j). 8 Let k(s) = -6*s - 3*s**3 - 10788 - s**2 + 2*s + 10784. Calculate k(-1). 2 Let s(a) = -2*a**2 + 3*a + 4. Let z be s(-2). Let i be 5/z*-8 + -1. Let g(l) = 3*l**3 - 3*l**3 - l + 6*l**i + 9*l**3. Give g(1). 14 Let p(l) = -l**2 - l - 1. Suppose 0 = -5*c + 3*x + 120, 3*c - x = x + 71. Let v = c - 28. Determine p(v). -1 Let b(j) = -8*j**2 - 4*j. Let x(c) = 4*c**2 + 2*c. Let f(l) = -l**2 - 5*l - 6. Let w be f(0). Let m = 22 + -33. Let u(s) = m*x(s) + w*b(s). Calculate u(-2). 12 Let p(u) = u**2 - 3*u - 5. Let m = 70 - 50. Suppose -14*f = 36 + m. What is p(f)? 23 Let v(a) = -5*a**2 - 2*a + 1. Let f be v(1). Let k(t) = -7*t + 2. Let n(i) = -5*i. Let h(j) = 4*k(j) - 6*n(j). Give h(f). -4 Suppose -i - 5*p = 51, 43 = -4*i - 5*p - 41. Let w(r) = 3*r**2 + 37*r + 43. Give w(i). -1 Let m(c) = -c**2 - 2*c - 1. Let w(t) = t**2. Let h(g) = m(g) + 3*w(g). Let u be 1*-4*(-25)/(-2). Let s = -47 - u. Give h(s). 11 Let p(r) = -4*r**3 + 17*r**2 + 3*r - 21. Let i(q) = -33*q**3 + q - 5 - 27*q**3 + 59*q**3 + 4*q**2. Let d(h) = -9*i(h) + 2*p(h). Calculate d(2). -3 Let b be 8/(-40)*-35*((-50)/7)/5. Let c(a) = -a - 15. Determine c(b). -5 Let w(x) = -2*x**2 - 11*x - 2. Let f(z) = -z**2 - 6*z - 1. Let i(o) = 7*f(o) - 4*w(o). Let p be 3/18 + 69/18. Suppose -3 = p*g - 11. Calculate i(g). 9 Let d(s) = s**2 + 6*s + 4. Let x = 50 - 48. Let f(p) = -3 - 7 - p - x + 4. Let q be f(-1). Determine d(q). 11 Let w = 10000 - 9997. Let a(g) be the second derivative of 15*g + 0 - w*g**2 - 1/6*g**3. What is a(-5)? -1 Let z(t) be the second derivative of -3*t**4/4 + t**3 - t**2/2 - 42*t. Give z(1). -4 Let g(k) = 2*k**3 - 4*k + 1 + 37*k**2 + 24*k**2 - 10*k**3 - 33*k**2. Calculate g(3). 25 Let f(g) = g**2 - g - 1. Suppose 0 = 32*h - 31*h - 38. Let r(x) = -x**3 - 7*x**2 - x - 10. Let u be r(-6). Let s = h + u. What is f(s)? 5 Let u(h) = 8*h + 40. Let s = -21768 - -21761. Determine u(s). -16 Let u = -83 + 82. Let p(b) be the third derivative of -11*b**5/20 - b**4/12 - b**3/6 + 55*b**2. Give p(u). -32 Let q(l) be the third derivative of l**5/60 + l**4/6 - 32*l**3/3 - l**2 - 11*l + 95. Determine q(7). 13 Suppose -h - 20 = -4*k, 1136*h - 1139*h = 3*k - 45. Let m(d) be the second derivative of d**3/6 + 3*d**2/2 - d. Calculate m(k). 10 Let x(g) be the third derivative of -5*g**4/8 - 13*g**3/2 - 3576*g**2. Calculate x(0). -39 Let y(k) = 2*k**2 - 7*k + 12. Suppose -14*b + 120 = 10*b. Let u(h) = -h**2 + 6*h - 10. Let t(i) = b*y(i) + 6*u(i). Let o be (-21)/27 + 4/(-18). Give t(o). 3 Let j = 224 - 222. Let o(n) = -30*n**2 - 20*n**2 - 4 + 49*n**j - 4 + 2*n. Determine o(0). -8 Let x(s) be the second derivative of s**4/6 + 5*s**3/6 + 7*s**2/2 - 4*s. Determine x(-4). 19 Let p be 3*34/(-6) + (-4235)/(-385). Suppose -4*t + 0*w = 5*w - 33, 3*t = 3*w - 9. Let l(f) = 5*f**t - 2*f + f**3 - 1 - 4*f + 0*f**3. Calculate l(p). -1 Let d be 68/3 + -1 + (-3)/(-9). Let z(a) = -2*a**2 + 45*a - 21. Let k be z(d). Let y(w) = 25*w**2 + w. What is y(k)? 26 Let l(q) = 114*q - 4102. Let f be l(36). Let r(z) = 3*z - 4 + 1 + 2. Calculate r(f). 5 Let z be -5*((-6)/(-18) - (-6)/(-45)). Let n be ((-18)/(-24))/(z/4). Let k(s) = 2*s**2 + 3*s - 4. Calculate k(n). 5 Let i(w) = -9*w**3 + w**2 + 8*w - 26. Let n(l) = -11*l**3 + 2*l**2 + 9*l - 30. Let a(x) = 7*i(x) - 6*n(x). Give a(2). 6 Let p(u) = 2*u**3 - 3*u**2 + 2*u + 11. Let o be p(0). Suppose -94*b - o = -105*b. Let i(w) = -54*w**2 + w - 1. Give i(b). -54 Let h(c) = 361*c**2 - 24 + 363*c**2 - 7 - 722*c**2 - 7 - 2*c. Give h(6). 22 Let c(j) be the first derivative of j**4/4 + 2*j**3 - 3*j**2 + 2*j - 1453. Determine c(-5). 57 Let d be 65 - 0/(3 + -4). Let l = d - 63. Let u(i) = -142*i - 4*i**2 - 3 + i**3 + 137*i + 5*i**l. What is u(-3)? -6 Let j(h) be the third derivative of 0 + 1/3*h**4 + 1/60*h**5 - 3*h**2 + 0*h + 0*h**3. Suppose 301*w - 299*w - 12 = 2*i, -2*w = -3*i - 19. Give j(i). -7 Let r(y) = 11*y**2 - 21*y - 45. Let m(g) = 9*g**2 - 21*g - 44. Let p(w) = 6*m(w) - 5*r(w). Give p(-19). -1 Let f = 397 - 385. Let s be -6*(-7)/f*4. Let t(j) = -j**3 + 15*j**2 - 12*j - 9. Calculate t(s). 19 Let p(j) = -36*j**2 - 3*j - 1 + 79*j**2 + 2 - 42*j**2. Let l(d) = -d**2. Let s be l(-2). Let u = s - -5. Calculate p(u). -1 Let r(u) = 59*u**3 + 2*u - 1. Let g = 1858 + -1857. What is r(g)? 60 Let f(t) = -t**3 + 2*t**2 + 4*t + 4. Let m(h) = 23*h - 93. Let l be m(-5). Let w be (l/12)/(-13) - (-16)/6. Calculate f(w). -12 Let t(w) = w**2 + 10*w + 16. Let c be t(-8). Suppose 0 = -4*v + 4*g + 32, -g + 13 = 2*v - c*g. Let u(b) = v*b - 6*b - 1 + b. Calculate u(6). 11 Let s(u) be the third derivative of -157*u**2 + 0*u + 1/2*u**3 - 1/60*u**5 - 1/24*u**4 + 0. Calculate s(4). -17 Suppose -2*o + 40 = 2*s, -3*s + s - 50 = -3*o. Suppose 14*w - o*w = -40. Let v(u) = -u + 6. Calculate v(w). -4 Let m(k) be the third derivative of k**4/12 - 1380*k**2. Let w(o) = -o + 7. Let v be w(7). Suppose -3 + 8 = 5*q - 3*g, v = -3*q + 5*g + 3. What is m(q)? 2 Let h(r) = r**3 - 3*r**2 + 4*r - 5. Let i be h(2). Let z be (10 + i)/((-9)/(-24)). Let k(t) = z*t - 76*t + 22*t - t**2 + 24*t + 6. Give k(-5). 11 Let t(w) = -20 + 4*w - 18 - 25 + 0*w + 39. Give t(4). -8 Let u(o) = 1. Let t(k) = -k**3 + 2*k - 7. Let l(f) = t(f) + 4*u(f). Let m = -31 + 35. Suppose -6*b + m*b = -5*w + 21, 0 = 2*w - b - 9. Give l(w). -24 Let x(g) = -g - 6. Suppose 0 = 4*y - 4 - 20. Suppose 0 = 23*h - y*h + 153. What is x(h)? 3 Let m be -1 - 6*(-1)/(-2). Let v(g) be the second derivative of g**5/20 + g**4/4 - g**3/3 - g**2/2 + 36*g + 22. What is v(m)? -9 Let d(x) = -2*x + 8*x + 11*x - 20 - 28*x + 9*x. Give d(-5). -10 Let f(z) = z**3 + 6*z**2 - 7*z - 9. Let b = 188 - 429. Let r = 234 + b. What is f(r)? -9 Let i = 1988 + -1984. Let o(j) = -j**3 + 2*j**2 - 3*j + 32. Give o(i). -12 Let s(d) be the third derivative of d**8/20160 - d**7/560 + 11*d**6/720 - 13*d**5/15 - 3*d**2 + 6. Let v(a) be the third derivative of s(a). Give v(10). 21 Let q(c) = -2*c + 7. Let u(v) = -2*v**2 - v + 5. Let h = 121 + -121. Let r be u(h). Determine q(r). -3 Let h(l) = -9*l**2 - 3*l + 1. Let m = -26702 - -26700. What is h(m)? -29 Let t(m) = -m. Let u(y) = -y**3 + 23*y**2 - 21*y - 14. Let q be u(22). Let w be (-1)/((q + -1)/7). What is t(w)? 1 Let o(n) = 4*n**2 - 2*n + 3. Let y be o(1). Suppose 0 = y*b - 5 - 5. Let r(v) = -1 + b - 2 + 0 + v. Give r(6). 5 Let s be (-9*8/(-60))/(2/15). Let m(w) = w**2 - 8*w - 7. What is m(s)? 2 Let c(k) = -4*k + 80. Let y be c(18). Suppose -3*u = p - 20, -24 + 4 = -4*u. Let f(b) = b**3 + 3 - 9*b**2 + 2 - 9 - p + 10*b. What is f(y)? 7 Suppose 135*z + 305 = 170. Let a(k) = -5*k**3 + 2*k**2 - 1. What is a(z)? 6 Let v(b) be the first derivative of -b**4/4 + 13*b**3 + 83*b**2/2 - 43*b + 2325. Determine v(41). -2 Let g(a) = 8*a - 5. Suppose -23 = -d - 0*f + 4*f, -d + 5*f = -28. Let l(i) = -15*i + 12. Let z(n) = d*l(n) + 7*g(n). Calculate z(-2). -21 Let d(f) be the second derivative of -f**4/12 + 5*f**3/3 + f**2 - 3*f. Let s be 5/1 - (-21 - -19). Give d(s). 23 Let v(o) = -9*o - 25*o + 31*o - o**2 - 21. Determine v(-6)
{ "pile_set_name": "DM Mathematics" }
b = 5*n - 45, -58 = 43472*b - 43478*b - 4*n for b. 5 Solve 27 = -3*o + 4*u, -5*o - 8*u = 51*u - 2 - 71 - 79 for o. -5 Solve 0 = k - v - 7, -1557 = -10*k + v - 1478 for k. 8 Solve y + 4*y = -3*h + 21, 1417*h + 9 = 1418*h + 2*y for h. -3 Solve -7702*q + 13 = -x - 7698*q, -20*q + 114 = 2*x for x. 7 Solve 2*v + 5*o - 17318 + 17338 = 0, -v + o = -11 for v. 5 Solve 2*r - 234 = 4*l, -2780 = 2*r + 7*l - 2354 for r. -3 Solve -4*o = 227581*v - 227579*v + 24, -6 = o - v for o. -6 Solve -29*h + 597 = 4*d, 5*d + 282*h + 120 = 287*h for d. -3 Solve 3*s - 1 - 14 = 3*h, -3*s - 10*h - 8 = 11 + 5 for s. 2 Solve 21*f - 42 = -22*l + 18*l - 46, 6*l + 4*f + f = l - 5 for l. -1 Solve 83*l - 344 + 264 - 940 = 4*p, -41 = 3*p - 7*l + 61 for p. -6 Solve -6*s - 110 = 4*l, -4*s = -7*s - l - 29 for s. -1 Solve 4*f + 2*h - 8 = 0, 478*f + 37*h - 40*h = 473*f - 34 for f. -2 Solve -y - 26 = -13523*x + 13542*x, -5*x - 5*y - 40 = 0 for x. -1 Solve -7*l = -f + 4, 36*l - 14*l - 20*l - 7 = 3*f for f. -3 Solve -845 = 3*k - 407 - 432, 2*r - k - 5 = -r for r. 1 Solve 8*x - 597 = -2*q - 53, -3*q + 93 + 179 = 4*x for x. 68 Solve -78 = 5*v - 11*x + 9*x, -5*v - 833*x - 85 = -828*x for v. -16 Solve 4*a - 9*s - 141 + 76 = 0, 422 = -0*a + 30*a - 2*s for a. 14 Solve -246*j - 3*c + 499 + 592 = 350, -31*j = -29*j + 3*c - 9 for j. 3 Solve -12 = m - 3, 5*s - 3*m + 10 = 27 for s. -2 Solve 49*k - 44*k + 2*m + 0 = 65, 2*k + 2*m = 56 for k. 3 Solve c + 4*r = 1, c = 25*r + 187115 - 187056 for c. 9 Solve -132*t + 254 = 5*m, 0 = -55*m + 55*m + 4*t - 8 for m. -2 Solve 10*r - 29*r + 16*r = 4*v - 82, 0*v - 5*v + 4*r + 108 = 8*r for v. 4 Solve 4*b = -4, 1 = 3*x + 446*b + 437*b - 882*b - 13 for x. 5 Solve 3*u - j - 606 + 605 = 0, 10*u + 3*j + 6 = 5*j for u. -2 Solve 5*h = -5*k - 165, -544*k + 264*k = 2*h - 272*k + 62 + 34 for h. -28 Solve 0 = 29*i - t + 31, 3*i + 12*t = 15*t - 9 for i. -1 Solve -2968*t - 7 = 71*s - 70*s - 2971*t, -51 = 4*s + 9*t + 2*t for s. -10 Solve 0 = 231*t - 229*t - 2, 0*w = -8*w + 5*t + 62 - 11 for w. 7 Solve 318*j = -r + 317*j + 10, -5*j + 15 = -5*r - 2*j - 31 for r. -2 Solve 20*n + 2*s + 26 = 0, -57*s - 39*s = -2*n - 93*s + 7 for n. -1 Solve -12 = -r + 4*h, 1364*r - 1363*r - 10 = 3*h for r. 4 Solve -f - 35 = -2*h, 4015 - 2019 = -5*h - 3*f + 2111 for h. 20 Solve 3*q + 35 = h, 5*h = -6*q + 27 + 106 for q. -2 Solve -r + 0*l - 13*l - 7*l = -22, 10*r + 2*l - 33 = -11 for r. 2 Solve 0*b - 33 = 4*b - 10*b - 3*x + 21, 0 = -3*x - 6 for b. 10 Solve -2664*b + 2659*b = 3*g + 140 + 76, 150 = -3*b + 5*g for b. -45 Solve 5*n - 2344*b - 5201 = -2143*b, 4*n - b - 6 = 0 for n. -5 Solve 2*y + 2*c + 2 = 0, 213*c - 431*c - 29 = -11*y - 221*c for y. 4 Solve 15079 = -8*m + 14223, -747 = -2*d + 7*m for d. -1 Solve 56*g - 27 = 59*g + 3*l, 5*l + 32 = 5*g + 3*l for g. 2 Solve -5*m + 4*x - 3*x + 4 = 0, 108*m - 6 = 101*m + 2*x - 1 for m. 1 Solve -4*a + 32 = -4*g, 32*a - 106*a + 12 = -31*a - 39*a for g. -5 Solve 20955*t - s + 205 = 20957*t, s = 2*t - 2*t + 2*t - 203 for t. 102 Solve -5*v = -198*i + 624, -362*i - 4*v = -362*i + 24 for i. 3 Solve -y + 7*x = 6*x + 56, 3882*y - 3878*y + 240 = -4*x for y. -58 Solve 4*s + 8*c - 493 + 137 = 30*c, 3*c + 55 - 2 = 5*s for s. 1 Solve -4*n - 378874*j - 11 = -378877*j, -10*n = 2*j - 58 for n. 4 Solve 3*k = n + 94227 - 94228, -4*n - 4*k = -20 for n. 4 Solve -14*u + 13*u - 1 = -6*o + 7*o, -33*u + 38*u + 19 = 2*o for o. 2 Solve -4*t + 133 = -11*q, 54*t + q - 10 = 49*t - 4 - 2 for t. 3 Solve -2*p + 7*p - 58 = 8*p + m - 12*m - 9, 2*m - 16 = -3*p for p. 2 Solve -10031*l + 10012*l - 2*c = -35, -5*l - 3*c = -2*c - 4 for l. 3 Solve -6*k + 2*x - 73 = -5*k, 7*x - 9*x - x = -3 for k. -71 Solve 2*n = 7*l - 6*l + 3*n - 8, -368*l + 365*l + 30 = 5*n for l. 5 Solve 0 = 13*g - 15*g + 6*g - c + 37, 7*g + 2*c = 3*g - 34 for g. -9 Solve -12450*y = -12452*y - 3*j + 39, 3*y + 2*j - 128 = -4*y for y. 18 Solve -q - 11*k = -15*k - 5, 0 = 34*q - 3*k - 14 - 23 for q. 1 Solve -4*k = 785*w - 788*w + 16, 0*k + 18 = -2*k + 4*w for k. -1 Solve 0 = -5*i + 4*t + 72, 21638*i - 4*t = 21622*i + 72 for i. 0 Solve -2*i = -3*x - 9, -829*x + 826*x - 26*i = 93 for x. -5 Solve -31*u + 94 = 4*q - 34*u, 0*q - 35*u = -5*q + 930 for q. 4 Solve 0 = -5*f - 7*i - 499, 652*f - 651*f - 146*i = -151*i - 107 for f. -97 Solve 16*o + 4*d - 1132 = 0, -4*o - 24 = -o + 4*d - 181 - 65 for o. 70 Solve -4*b + 7*b = -386*s + 378*s + 63, -5*s - b = -42 for s. 9 Solve -5*u - 136 = -4*n - 47, 41*u - 69*u - 5*n = 471 for u. -17 Solve 4*d = 4221*t - 4217*t - 7 - 1, -2*t = t - 4*d - 5 for t. 3 Solve -n - 2 + 18 = 2*g + 6, 0 = 3*g - 8*n + 42 for g. 2 Solve 0 = 10*z - 2*h + 40, 359*z + 4*h - 14 = 357*z for z. -3 Solve 3*i + 166 = -8*n + 26, -32*n - 88 = -29*n + 2*n + 2*i for n. -16 Solve 0 = 408*l - 404*l - 8, -3*g + 95 = -2*l for g. 33 Solve 12 = -b + 4*b, 28 - 220 = -104*y + 4*b for y. 2 Solve 6 = 199*b - 204*b + 3*o, -4*b - 17*o = 63 for b. -3 Solve 0 = 4*z + w + 87, 4*w + 12997 = 3*z + 13067 for z. -22 Solve -88*b - 2*r + 27 = -64*b - 27*b, 7 = -5*b - 3*r for b. -5 Solve 26 = 4*q + 5*m, 3233*q = 3229*q - 4*m + 20 for q. -1 Solve -86*v = 5*l - 88*v - 43, 47*l - v - 309 = -6*v for l. 7 Solve 6*v = -m + 68, -881*m + 3 = v - 885*m for v. 11 Solve 4*m - 4*k + 8 = 6*m, -65947*m + 65952*m + k = 20 for m. 4 Solve 4*u + 24 = -5*o, 133*o - 15*u + 19*u + 52 = 135*o for o. 4 Solve 4*b + 56354*y - 56360*y = 72, 0 = -b - y + 28 for b. 24 Solve -15*q + 12*q + 54 = -3*w, 4*w + 60 = -9*q + 27 for w. -15 Solve -2*v + 14 = -v + 4*h, 0 = 89*v - 78*v + 5*h - 76 for v. 6 Solve b = -4*h, -4*h - 680*b + 676*b = -h + 26 for h. 2 Solve 67 = -2*q + 15*j + 35 + 35, -26 = -0*q + 5*q - 4*j for q. -6 Solve 298*a - 296*a - 8 = -2*b, 3*a + 3*b = -2*b + 12 for a. 4 Solve 5*p + 2*a - 48 = 0, 2*p - 53437*a = -53442*a + 120 for p. 0 Solve 2*a + 2*a - 4*a - 45 = -2*v + 3*a - 22, -27 = 9*a for v. 7 Solve o + 2151*c + 16 = 2152*c, -4 = o - 4*c for o. -20 Solve 5*n + 20 = -k + 5*k + 2*n, 26 - 42 = 2*n for k. -1 Solve -5*g + 2399*p = 2397*p + 56, 8*p + 16 = 0 for g. -12 Solve -m + 0*m + 2 = h, 7103*m = 18*h + 7108*m - 75 for h. 5 Solve j + 3*y - 11 = 0, 879 = 2*j - y - 869 + 1719 for j. 14 Solve 5*p = -t - 56, t = -6*p - 646 + 591 for p. 1 Solve 5*x = 23*v - 220, -3*v - 624*x = -618*x - 42 for v. 10 Solve 3*y + 2 = -d - d - 10, 151*y - 147*y + 20 = -4*d for d. -3 Solve 3*z + 2*r + 1208 = 1153, -2*z - 35 = 3*r for z. -19 Solve -10*a - 606 = 5*c - 611, -5*c - 34 = -3*a for c. -5 Solve d + 2*b + 112 - 109 = 0, 4*d + 23*b - 48 = 0 for d. -11 Solve -2*t + 113 = -x + 5*x + 3*t + 148, 4*t = -28 for x. 0 Solve -4*c - 4 = 0, 14*p + 13*p - 32*p + 43 = -9*p - 29*c - 122 for p. -34 Solve 0 = -z - 3*a + 17, 895*z + 21 = 900*z - a for z. 5 Solve -2*f = -10, 3*k + 5*f = 1073 - 955 for k. 31 Solve -3*x + 94 = 7*q + 2*x, -2*x = -5617*q + 5593*q + x - 141 for q. -3 Solve 3453*u = 3452*u + 3*n - 5 - 5, 0*u - u + 0*u = 3*n - 8 for u. -1 Solve -83 = 3*v + 10*y, -3308*y = v - 3315*y - 24 for v. -11 Solve -6*z - 134*b + 136*b + 3 = -z, 510*z = 4*b - 494 for z. -1 Solve -k = -5*f - 20, 0 = -2*f - 13*k + 3*k + 12 - 72 for f. -5 Solve m - 5175 + 5197 = -s, -11*m - 12 + 4 = 2*s for m. 4 Solve 23*c - 3*r - 129 = 26*c, 0 = -3*r - 138 for c. 3 Solve z = -30*o - 643 + 752, 2*o + 5*z + 195 = 0 for o. 5 Solve o = -c + 19, c - c + 6*c - 4*o + 2*o - 82 = 0 for c. 15 Solve 13*v + 2*f + 153 = 38*v - f, -5*v = 3*f - 27 for v. 6 Solve 2*d + 7*f + 5*f + 42 = 17*f - 8, -35*d + 2*f = 191 for d. -5 Solve l = 5*c - 10, 23*l + 2*c - 38 + 34 = 0 for l. 0 Solve 64*m = 2*d - 0*d - 180, 10*m - 11 = 3*d + 15*m + 22 for d. -6 Solve 5*k - 145 = -5*y, 215*y - 54 + 571 = -4*k for k. 32 Solve 4*c = -5*w + 53, 0 = c + 23730*w - 23731*w - 2 for c. 7 Solve 3*z - 9*r - 33 = 0, 0 = -74*r + 75*r for z. 11 Solve s = 0, 77*q = 79*q - 3*s + 36 for q. -18 Solve -23*d - 369 = -10*c, d + c - 13 - 22 = 3*d + 1 for d. -3 Solve 9*s - 20 = -k, -29584*s + 29586*s = -6*k - 36 for s. 3 Solve 2*s - 8 = -5*d + 13, 2*d - 16 = 2*s + s for d. 5 Solve 7*p - 8 = b - 20 + 12, 2*p + 3*b + 23 = 0 for p. -1 Solve 36*i + 4*x + 30 = 34*i, -356*i + 5*x = -351*i - 15 for i. -3 Solve -p + 685 = 2*p - 25*o, -p + 79 = -0*p - 3*o for p. -5 Solve -152058*w = -151*c - 152059*w - 457, 5*c + 3*w + 27 = 0 for c. -3 Solve 7 + 6 = -77514*b + 77511*b + 3*v + 4, -51 = -18*b + 3*
{ "pile_set_name": "DM Mathematics" }
f. 2/5 Two letters picked without replacement from {x: 2, n: 1, j: 2, c: 1, q: 1}. What is prob of sequence cq? 1/42 Two letters picked without replacement from vvvvvvvvvggv. Give prob of sequence gg. 1/66 What is prob of sequence gvtg when four letters picked without replacement from {g: 3, z: 5, t: 2, v: 1, f: 1, s: 1}? 1/1430 Two letters picked without replacement from gkpp. What is prob of sequence gk? 1/12 Calculate prob of sequence pb when two letters picked without replacement from pnnvwbbnbnnb. 1/33 Four letters picked without replacement from {c: 3, z: 4}. Give prob of sequence czcc. 1/35 Two letters picked without replacement from {k: 2, y: 1}. Give prob of sequence ky. 1/3 Two letters picked without replacement from {i: 1, h: 2, p: 3, j: 1}. Give prob of sequence jh. 1/21 Two letters picked without replacement from {b: 3, m: 1, e: 5}. What is prob of sequence mb? 1/24 Four letters picked without replacement from {r: 4, p: 6, l: 3}. What is prob of sequence lrpp? 3/143 What is prob of sequence zu when two letters picked without replacement from {l: 1, o: 5, z: 2, u: 1, w: 3}? 1/66 Calculate prob of sequence mg when two letters picked without replacement from {m: 1, c: 2, g: 1, u: 2, r: 5, t: 5}. 1/240 Two letters picked without replacement from {d: 7, a: 1}. Give prob of sequence ad. 1/8 Two letters picked without replacement from rvzrzt. Give prob of sequence vz. 1/15 Two letters picked without replacement from {z: 2, l: 1, x: 1, c: 2, a: 2}. What is prob of sequence ac? 1/14 Calculate prob of sequence zzsz when four letters picked without replacement from stzssctzzs. 1/210 Calculate prob of sequence geb when three letters picked without replacement from {g: 1, e: 12, b: 2, j: 4}. 4/969 Calculate prob of sequence gzjg when four letters picked without replacement from gbzjgggjzbbgg. 1/143 Two letters picked without replacement from ullaquualltuut. Give prob of sequence uq. 5/182 Two letters picked without replacement from {x: 2, w: 2, i: 1, z: 2, v: 3, d: 4}. Give prob of sequence vw. 3/91 Two letters picked without replacement from drllkkclcrclrlkccjdc. Give prob of sequence cl. 3/38 Two letters picked without replacement from {h: 4, e: 5, m: 2}. What is prob of sequence he? 2/11 Two letters picked without replacement from crrjcrccssrsmsqccc. What is prob of sequence cs? 14/153 What is prob of sequence vcrv when four letters picked without replacement from lrlrqvrvvccrorlvcl? 1/408 Four letters picked without replacement from {u: 3, j: 5, n: 1, l: 1}. What is prob of sequence unul? 1/840 Two letters picked without replacement from rmmmmqqqqqm. What is prob of sequence qm? 5/22 What is prob of sequence kbv when three letters picked without replacement from {b: 4, y: 1, v: 2, k: 1}? 1/42 Four letters picked without replacement from {n: 1, e: 1, y: 1, j: 2}. Give prob of sequence enjy. 1/60 What is prob of sequence xxgo when four letters picked without replacement from xolgxxn? 1/140 Calculate prob of sequence oo when two letters picked without replacement from zozoz. 1/10 Two letters picked without replacement from dppepsesepphhhqdds. What is prob of sequence dd? 1/51 What is prob of sequence ulwu when four letters picked without replacement from uwonuoonuln? 1/1320 What is prob of sequence ns when two letters picked without replacement from sssssssnssssssssss? 1/18 Calculate prob of sequence even when four letters picked without replacement from vveenee. 1/35 Two letters picked without replacement from {a: 4}. Give prob of sequence aa. 1 Calculate prob of sequence qj when two letters picked without replacement from {j: 5, q: 14}. 35/171 Four letters picked without replacement from nbnbnnnnn. What is prob of sequence bbbn? 0 Three letters picked without replacement from ggpgjgpgpgggppppppg. What is prob of sequence jpp? 4/323 Three letters picked without replacement from ccvpzz. Give prob of sequence vzp. 1/60 What is prob of sequence up when two letters picked without replacement from uuccycupccyuucucccuc? 7/380 Four letters picked without replacement from {o: 3, w: 1, b: 5}. What is prob of sequence ooob? 5/504 What is prob of sequence ukk when three letters picked without replacement from ukkukukuuu? 1/10 Two letters picked without replacement from {s: 4, o: 12, c: 2, v: 2}. What is prob of sequence oc? 6/95 Two letters picked without replacement from {v: 18, y: 2}. Give prob of sequence yv. 9/95 Two letters picked without replacement from ggmegemhgeeshmge. What is prob of sequence gh? 1/24 Four letters picked without replacement from {l: 2, f: 17}. What is prob of sequence lfff? 5/57 Three letters picked without replacement from ymmdjymzzwwm. Give prob of sequence djy. 1/660 Two letters picked without replacement from exeheexnhwgxxxn. What is prob of sequence xn? 1/21 What is prob of sequence gog when three letters picked without replacement from {q: 7, g: 6, a: 6, o: 1}? 1/228 Four letters picked without replacement from ezezbeezzzz. Give prob of sequence ezee. 1/55 Two letters picked without replacement from uurrrrurrru. Give prob of sequence rr. 21/55 Calculate prob of sequence fck when three letters picked without replacement from {c: 7, j: 2, v: 2, k: 2, f: 2}. 2/195 Two letters picked without replacement from {q: 10, n: 2, h: 3, r: 3}. What is prob of sequence hh? 1/51 Calculate prob of sequence at when two letters picked without replacement from aaaaaaaaaaataataaaaa. 9/95 What is prob of sequence sy when two letters picked without replacement from {y: 1, h: 1, s: 5, i: 5}? 5/132 What is prob of sequence pkyf when four letters picked without replacement from pypkyhf? 1/210 What is prob of sequence mh when two letters picked without replacement from {e: 3, m: 3, h: 2}? 3/28 Calculate prob of sequence llxl when four letters picked without replacement from xxllxllllxlxlllxllx. 385/3876 What is prob of sequence pfe when three letters picked without replacement from {p: 1, c: 5, e: 3, i: 1, a: 3, f: 2}? 1/455 Calculate prob of sequence uhh when three letters picked without replacement from {u: 4, h: 3}. 4/35 What is prob of sequence ews when three letters picked without replacement from sewwkksessttle? 1/91 Two letters picked without replacement from {s: 10, v: 6, h: 1}. Give prob of sequence vs. 15/68 What is prob of sequence jzj when three letters picked without replacement from ijkjkkzkkzkjkikikkkk? 1/570 Three letters picked without replacement from {a: 15, x: 4}. What is prob of sequence axa? 140/969 Two letters picked without replacement from {l: 3, q: 2, c: 1, x: 6, g: 1}. Give prob of sequence gq. 1/78 Three letters picked without replacement from {t: 6, g: 5, w: 1, y: 5}. What is prob of sequence yty? 1/34 Calculate prob of sequence tt when two letters picked without replacement from {w: 4, t: 6}. 1/3 Calculate prob of sequence htx when three letters picked without replacement from {t: 3, q: 4, l: 4, h: 5, x: 3}. 5/646 Three letters picked without replacement from ihrgig. Give prob of sequence igr. 1/30 What is prob of sequence aw when two letters picked without replacement from qwwqwbwqqxwqxqqaqaqq? 1/38 Calculate prob of sequence uccu when four letters picked without replacement from ciujjijuuccjujcjju. 1/306 Calculate prob of sequence yey when three letters picked without replacement from eyyeyyeyyy. 7/40 Calculate prob of sequence rrr when three letters picked without replacement from wrrrwrwwwwrwrgrwbr. 7/102 What is prob of sequence zkco when four letters picked without replacement from {o: 1, h: 1, c: 1, z: 1, k: 1}? 1/120 Three letters picked without replacement from {w: 3, h: 3, n: 1}. What is prob of sequence nhw? 3/70 Four letters picked without replacement from {q: 6, j: 2}. Give prob of sequence jqqq. 1/7 Calculate prob of sequence veg when three letters picked without replacement from {v: 2, g: 3, e: 5}. 1/24 What is prob of sequence mmll when four letters picked without replacement from {f: 1, m: 6, s: 2, l: 2}? 1/132 Three letters picked without replacement from {b: 7, y: 1, g: 2}. What is prob of sequence gbg? 7/360 Two letters picked without replacement from ivivviivvoovo. Give prob of sequence oo. 1/26 Calculate prob of sequence vydv when four letters picked without replacement from bbdybbjvbbbbvy
{ "pile_set_name": "DM Mathematics" }
ext in -41, -55, -83, -131, -205, -311, -455, -643? -881 What comes next: 7, -4, -41, -116, -241? -428 What is next in 3, 8, 25, 60, 119, 208, 333? 500 What comes next: 1364, 1354, 1330, 1286, 1216, 1114? 974 What is next in 33, 127, 297, 555, 913? 1383 What is next in 57, 121, 175, 213, 229, 217? 171 What is the next term in 2161, 2143, 2113, 2065, 1993, 1891, 1753? 1573 What is the next term in -15, -67, -203, -465, -895, -1535, -2427? -3613 What is next in -27, -234, -791, -1872, -3651, -6302, -9999, -14916? -21227 What is the next term in -151, -138, -125, -112, -99? -86 What is next in -74, -149, -224, -299, -374? -449 What is the next term in 48, 37, 26, 15, 4? -7 What is the next term in -878, -3502, -7874, -13994, -21862, -31478, -42842? -55954 What is next in 26, 36, 22, -16, -78, -164, -274? -408 What is the next term in 1539, 1526, 1489, 1416, 1295, 1114, 861? 524 What is the next term in 20, 25, 32, 41, 52, 65, 80? 97 What is the next term in -829, -868, -915, -976, -1057, -1164? -1303 What is next in 152, 153, 154, 155, 156, 157? 158 What is the next term in -180, -186, -192, -198, -204? -210 What is the next term in -42, -89, -134, -177, -218, -257, -294? -329 What comes next: 101, 71, 37, -1? -43 What is next in -229, -226, -221, -214? -205 What is next in 148, 294, 440, 586, 732? 878 What is next in 5, 24, 47, 68, 81? 80 What is next in 39, 208, 665, 1554, 3019, 5204? 8253 What comes next: 7, 39, 95, 175, 279, 407? 559 What is the next term in -529, -525, -519, -511, -501? -489 What is the next term in 68, 60, 46, 26? 0 What is the next term in 35, 98, 271, 608, 1163, 1990, 3143? 4676 What comes next: -1, -30, -81, -154, -249, -366? -505 What comes next: -17, -39, -73, -125, -201? -307 What is next in 35, 42, 49, 56? 63 What comes next: 10, -18, -64, -128, -210, -310? -428 What is next in 46, 53, 62, 73, 86, 101? 118 What comes next: 12, 2, -10, -24, -40, -58? -78 What is the next term in 38, 110, 218, 362, 542, 758? 1010 What is next in -15, -41, -81, -135, -203? -285 What is the next term in -31, -126, -277, -478, -723, -1006, -1321, -1662? -2023 What comes next: -143, -131, -109, -71, -11, 77? 199 What is next in -53, -75, -99, -119, -129, -123, -95, -39? 51 What is next in 957, 1916, 2875, 3834? 4793 What comes next: -29, -19, 5, 49, 119, 221? 361 What is the next term in -133, -120, -99, -70, -33? 12 What comes next: 82, 123, 166, 211, 258, 307, 358? 411 What is the next term in -237, -453, -667, -879, -1089, -1297, -1503? -1707 What is next in -26, -138, -336, -620, -990, -1446? -1988 What is next in -186, -721, -1620, -2889, -4534? -6561 What comes next: -274, -274, -272, -268, -262? -254 What comes next: 41, 73, 105, 137? 169 What comes next: 13, 22, 59, 136, 265, 458, 727? 1084 What is next in 23, 84, 185, 326? 507 What is the next term in -92, -199, -316, -449, -604? -787 What is next in -191, -191, -183, -161, -119? -51 What comes next: 121, 242, 361, 478, 593, 706? 817 What is the next term in -50, 0, 76, 172, 282? 400 What is the next term in -20, -44, -68, -92, -116, -140? -164 What comes next: -425, -709, -979, -1229, -1453, -1645, -1799, -1909? -1969 What comes next: -99, -98, -97? -96 What is the next term in 1764, 3526, 5286, 7044, 8800, 10554, 12306? 14056 What comes next: 211, 216, 225, 238? 255 What comes next: -513, -508, -501, -492, -481? -468 What is the next term in 58, 121, 184? 247 What is next in 2531, 2538, 2547, 2558? 2571 What is next in 342, 341, 340, 339, 338, 337? 336 What comes next: 22, 104, 330, 772, 1502, 2592, 4114? 6140 What is next in 561, 1120, 1679, 2238, 2797? 3356 What is next in 127, 131, 137, 145? 155 What is next in -363, -716, -1069, -1422, -1775, -2128? -2481 What is next in -20, -56, -124, -230, -380, -580? -836 What is the next term in 314, 1244, 2792, 4958, 7742? 11144 What comes next: -118, -231, -346, -463, -582? -703 What is next in 33, 60, 103, 162? 237 What is the next term in 88, 83, 76, 67, 56, 43? 28 What is the next term in -149, -166, -195, -242, -313, -414, -551? -730 What comes next: 219, 203, 185, 165, 143, 119, 93? 65 What is the next term in -98, -221, -344, -467? -590 What is next in 160, 160, 166, 184, 220, 280, 370? 496 What is next in 7, 19, 33, 49, 67? 87 What is next in -315, -314, -313, -312, -311? -310 What comes next: -113, -104, -95, -86? -77 What is next in -41, -49, -57, -65, -73? -81 What comes next: -32, -124, -278, -494, -772? -1112 What comes next: 2578, 2590, 2610, 2638, 2674? 2718 What is next in -138, -119, -100, -81, -62, -43? -24 What comes next: 24, 59, 116, 195, 296, 419, 564? 731 What comes next: -11, -52, -119, -212, -331, -476, -647? -844 What is the next term in -172, -159, -132, -85, -12, 93, 236, 423? 660 What is next in -228, -235, -244, -255, -268, -283, -300? -319 What is the next term in 33, 59, 83, 105, 125? 143 What is the next term in 647, 652, 657, 662, 667? 672 What is the next term in 144, 366, 722, 1278, 2100, 3254? 4806 What is the next term in -66, -131, -196, -261? -326 What is the next term in 27, 46, 59, 66, 67, 62? 51 What is next in 253, 255, 255, 253, 249, 243? 235 What comes next: 1117, 1115, 1113, 1111? 1109 What is next in 46, 48, 50, 52, 54, 56? 58 What is the next term in -325, -324, -323, -322? -321 What is the next term in 4217, 8433, 12651, 16871, 21093? 25317 What is the next term in -16, 60, 148, 254, 384, 544, 740? 978 What is the next term in -10, -22, -34, -46, -58, -70? -82 What is the next term in 21, 92, 207, 360, 545, 756, 987? 1232 What is the next term in -196, -199, -206, -217, -232, -251, -274? -301 What comes next: -162, -159, -156? -153 What is the next term in 196, 202, 220, 256, 316, 406? 532 What comes next: 389, 390, 391, 392, 393? 394 What is next in -13, -4, 13, 38, 71? 112 What comes next: 442, 425, 396, 355, 302, 237, 160? 71 What is next in -297, -580, -863, -1146? -1429 What is the next term in -4508, -4506, -4504, -4502, -4500? -4498 What is the next term in -21218, -21222, -21228, -21236, -21246, -21258? -21272 What is next in 1725, 1723, 1719, 1713, 1705, 1695, 1683? 1669 What comes next: -53, -236, -543, -974, -1529? -2208 What comes next: 36, 62, 86, 108? 128 What is next in -52, -81, -114, -151, -192, -237? -286 What comes next: 204, 181, 140, 75, -20, -151, -324? -545 What is the next term in -776, -782, -786, -788? -788 What comes next: -15, 13, 61, 129, 217, 325? 453 What is the next term in 40, 65, 88, 109, 128, 145, 160? 173 What comes next: -134, -298, -462? -626 What is next in -109, -104, -91, -64, -17, 56? 161 What comes next: -838, -877, -930, -1003, -1102, -1233, -1402, -1615? -1878 What is next in -30, -113, -250, -441? -686 What comes next: 140, 146, 154, 164, 176, 190, 206? 224 What comes next: 1694, 1693, 1692, 1691, 1690, 1689? 1688 What is next in 717, 729, 741, 753? 765 What is the next term in -3149, -3151, -3153? -3155 What is the next term in 125, 132, 143, 158? 177 What is the next term in 119, 227, 335, 443, 551, 659? 767 What comes next: -133, -134, -133, -130, -125, -118, -109? -98 What is next in -22, -35, -38, -31, -14, 13? 50 What comes next: -386, -790, -1194, -1598, -2002? -2406 What is the next term in -9, -33, -73, -129, -201, -289, -393? -513 What is next in -3933, -3945, -3971, -4017, -4089, -4193? -4335 What is the next term in 78, 73, 64, 51, 34? 13 What is the next term in -5, -4, 13, 52, 119, 220, 361, 548? 787 What is the next term in 97, 398, 899, 1600, 2501, 3602, 4903? 6404 What is the next term in -1477, -2963, -4439, -5899, -7337? -8747 What comes next: -12766, -12765, -12764, -12763, -12762, -12761? -12760 What is next in 8, 19, 30, 41, 52? 63 What is next in -19, -17, -13, -7, 1, 11? 23 What is the next term in -26, -11, 4? 19 What is the next term in 319, 313, 307, 301, 295, 289? 283 What comes next: 194, 391, 582, 761, 922, 1059, 1166? 1237 What comes next: -257, -259, -263, -269, -277, -287? -299 What comes next: -75, -154, -223, -276, -307, -310, -279? -208 What comes next: -9, -59, -143, -261, -413? -599 What is the next term in -512, -1022, -1532, -2042, -2552, -3062? -3572 What is next in -48, -52, -56, -60? -64 What is next in 1564, 3129, 4694, 6259, 7824, 9389? 10954 What is the next term in 48, 44, 54, 84, 140? 228
{ "pile_set_name": "DM Mathematics" }
2)*(-216)/(-16560)*46. 1/16 What is 3*21/9*871/(-9581)*-1? 7/11 Calculate (16/4500)/((194/679)/((-18)/(-14))). 2/125 What is 1/5*(-4620)/(-8778)? 2/19 What is ((-35)/1302*4)/((-2264)/(-3396))? -5/31 What is 5/140*4*26870/(-8061)? -10/21 Calculate 1714950/7336175*(-2)/((-6)/7). 6/11 (252/3990)/((6/(-24))/(15/(-36))) 2/19 Calculate (-4890)/(-4401)*(-3)/20. -1/6 Evaluate (-176)/(137984/(-112))*4/14. 2/49 Evaluate ((95/(-20))/19)/(68/(-68)). 1/4 Calculate 9/6*(-1968)/3936*((-136)/(-3))/2. -17 Evaluate ((-8)/6)/((-14854)/(-646149)). -58 (18/(-52))/((-24390)/(-54200)) -10/13 Evaluate 16/(-32)*(2760/23)/4. -15 What is (12/(-130))/(((-704)/80)/(-22))? -3/13 What is the value of ((-340)/(-65))/(284/1846)? 34 What is the value of (2/(-3))/((-13)/(39/(-15)))*9636/584? -11/5 What is the value of (-290)/(-1450)*9*4/84? 3/35 (2/(20/150*-6))/(((-6)/(-2))/(-60)) 50 What is the value of (-222)/(-4255)*69*-10? -36 Calculate (53/2)/(44*(-258)/7568). -53/3 (-9*30)/(-2)*(-27)/270*-4 54 Calculate (-75)/(63/(-21))*-3*(-2)/((-30)/(-9)). 45 Evaluate (((-9)/128)/(-9))/((-8)/48). -3/64 What is (((-100)/(-5))/(-5))/((-13)/((-208)/(-4)))? 16 What is the value of (((-40)/48)/(625/75))/((-2)/50)? 5/2 -12*5/(-195)*728/11088 2/99 Evaluate 29/(-145)*(130/110)/13. -1/55 Evaluate 5*4*(450/(-6975))/((-24)/186). 10 (-48)/(-264)*34*(-374)/34 -68 Evaluate ((-198)/1210*-11)/((4/5)/1). 9/4 (-14)/(-77)*61/488*-1 -1/44 Evaluate (-616)/(-17248)*(4/(-10))/(16/(-200))*-2. -5/14 Calculate (7/(77/2))/(22*62/37510). 5 What is -4*(-721)/(-112)*(-1080)/(-1350)? -103/5 What is 83/(34860/240)*(3/234)/((-14)/(-21))? 1/91 ((-3294)/(-5124))/(((-392)/343)/(2/30)) -3/80 What is the value of (-10)/(-15)*3*(2/(-4))/(17/68)? -4 Calculate (2911/(-835457))/(2/14). -1/41 Evaluate ((-147)/30)/((-20*(-1)/50)/((-4)/(-4))). -49/4 Evaluate ((2*(-1)/(-12))/(97/291))/((-6)/58). -29/6 ((1/91)/(2109/54834))/((30/28)/(-5)) -4/3 ((-33)/(198/(-14)))/(((-42)/8)/(-3)) 4/3 Calculate (-95*176/11704)/(6/126). -30 1/(-20)*-5*(-40)/255*-1 2/51 (10/((-1400)/2905))/((-2)/88*-11) -83 What is ((-40)/(-35))/(47/236880*60)? 96 Calculate (2/476)/((-241222)/(-282812)). 1/203 What is the value of ((-50)/(-125)*(-20)/(-22))/((-10)/35)? -14/11 Evaluate (35/10*((-288)/196)/(-9))/((-6)/(-21)). 2 (-15)/(-16)*384/(-144)*14 -35 Evaluate (103/((-43260)/(-200))*(-198)/(-5))/(2/(-7)). -66 -7*-24*156/273*(-3)/(-9) 32 10/4*-7*2/3*3 -35 Calculate (4602/(-153400))/((-3)/(-2)). -1/50 What is the value of (-12)/(-24)*(2/(-4))/((7/148)/7)? -37 506/92*11*15/(-330) -11/4 Calculate ((8/70)/(-1))/((-228)/2280). 8/7 Calculate (564/(-3525))/((3/(-50)*5)/(42/(-8))). -14/5 Calculate 334055/200433*(-6)/5*27. -54 Calculate (4/(-62))/(47816/70409060). -95 448/3920*35/280 1/70 Evaluate (-27930)/(-931)*2/250. 6/25 Evaluate ((-264)/99)/4*42/20. -7/5 What is ((((-9)/5)/9)/((-740)/(-925)))/(18/(-496))? 62/9 Evaluate ((-1)/1)/(((-8)/(-52))/(7770/1443)). -35 Evaluate 612/(-357)*(-7)/(-62). -6/31 Evaluate ((410/(-328))/(5/6))/((126/(-136))/21). 34 What is ((-60)/(-32))/((-5750)/128800)? -42 What is the value of (1*(-15)/3)/(15/(-36)*20/(-100))? -60 What is the value of 90/39*(-11)/132*(-636)/53? 30/13 What is (5424/2034)/((-18)/(-24)*-2*1/(-9))? 16 What is (((-75)/30)/(6/(-15)))/(((-66)/6)/(-88))? 50 What is (-12)/(-15)*58/(3132/(-405))? -6 What is (2*(-3)/(-15))/(2295/(-675))? -2/17 What is the value of (16/(-1280)*-56*18/14)/(345/(-460))? -6/5 (-618)/(-4)*5*60/(-12600)*7 -103/4 Evaluate (-252)/(-4704)*-42*64/(-3). 48 Calculate (-5)/(-9)*-12*((-2916)/945)/(-18). -8/7 Calculate 5/((-10)/66)*(-29)/145*5. 33 Evaluate 1*(18/(-81))/(493/(-153)). 2/29 Calculate (200*-7)/(-20)*90/(-126). -50 Evaluate ((-28)/(-112))/(((-88)/(-352))/((-213)/(6/(-2)))). 71 0/(8/440*55) 0 Calculate 3/(-21*(-25)/42). 6/25 What is ((-16)/(-12))/((-1832)/(-458))? 1/3 What is ((-354*(-15)/540)/(8/48))/1? 59 Evaluate (-40)/((-58)/3132*-36). -60 What is (1/(-3))/(((-264)/(-4158))/(1/7))? -3/4 (-11)/154*(-231)/66*(2/1)/98 1/196 What is the value of ((-8)/6*18/(-52))/((-54928)/(-14638312))? 123 What is the value of (23/(-69))/((-11)/((-1254)/475))? -2/25 ((-18180)/(-240))/(21/(-28)) -101 Calculate (-2730)/4290*242/330. -7/15 Calculate (152/(-380))/((-486)/(-90)). -2/27 What is ((-6)/(-2))/((-225)/3525)? -47 What is (-175)/(-35)*4*(-5)/(-100)*(-24)/90? -4/15 What is 162/117*(-218)/(-654)? 6/13 What is the value of (924/(-4))/((-18315)/1110)? 14 642*9/((-243)/(-6))*(3078/(-72))/(-57) 107 Calculate (6944/(-336))/((-112)/672). 124 What is the value of 64/(21888/(-570))*6*3? -30 Calculate ((-6)/(-2028)*12)/(5/65). 6/13 (-11)/(-6)*(-31005)/(-7579)*(-238)/21 -85 Evaluate ((-3)/54*-1)/((-32)/7040*-55). 2/9 What is (-4)/10*200/(-1420)*(35/(-14))/5? -2/71 Evaluate ((-78183)/(-4599))/((-34)/12). -6 Calculate 6/(-4)*((-29760)/1620)/(-62). -4/9 Evaluate ((-15)/(-60))/(55/1320). 6 Calculate (-28*-60*(-48)/60480)/(-1*(-2)/(-78)). 52 Calculate ((-54)/5)/(2324/(-5810)). 27 Evaluate ((-16896)/72)/(-16)*(-75)/20. -55 Calculate -407*-6*27/891. 74 What is (-375)/175*(-24528)/(-8030)? -72/11 What is (2/((-500)/(-330)))/((-31)/310)? -66/5 448/2560*-50*4 -35 Evaluate ((-6)/((-1)/((-4)/18)))/(43/(1419/(-55))). 4/5 What is the value of ((-3)/26)/(-216*(-45)/4320)? -2/39 Evaluate ((-50)/75)/(170/2754*(-7)/(35/2)). 27 What is the value of ((-2)/52)/(29/23200*-50)? 8/13 Evaluate ((-272)/(-34)*(-1)/15*(-120)/(-48))/86. -2/129 3/(39/2340*-12*15/(-5)) 5 What is the value of 36/(-288)*(3/135)/((-3)/(-36))? -1/30 What is -25*(-83)/(-249)*-3? 25 Calculate -243*((-3)/(-9))/((-209)/(-209)). -81 What is ((-12)/9*24/16)/(3*(-40)/(-2460))? -41 Calculate 69/15*((-1)/7)/(4/28). -23/5 What is (-48)/(-16)*4/(16/(-20))*12/(-12)? 15 What is the value of (-68)/16320*-32*60/126? 4/63 Evaluate 99/(-135)*6/(-33)*(-60)/(-36). 2/9 What is (-24)/(-8)*-2*(120/48)/((-45)/27)? 9 (-160)/90*((-21)/5)/(665/(-1425)) -16 (((-1020)/(-245))/(-51))/((-1)/(-14)) -8/7 Calculate (78/(-273))/((60/(-1610))/6). 46 Calculate 24/1092*(5/3)/(282/5922). 10/13 ((-7)/(-42)*1044/174)/(-50) -1/50 (-35)/(-20)*25/((-31500)/(-216)) 3/10 Calculate (-16*60/(-880))/((-63)/(-7392)). 128 What is 825*63/(82467/(-119))? -75 What is the value of ((-108)/(-2592)*-208)/(((-48)/(-4))/2)? -13/9 ((-115)/460)/((-3)/(-16))*-15*(-9)/(-81) 20/9 Calculate (111/37)/(-3*(-5)/(-10))*(-2)/(-150). -2/75 What is (3284/(-1642))/((-2)/(-40))? -40 Calculate 261/135*(-32466)/(-22417). 14/5 Evaluate (4/315)/1*(-52)/(-624)*18. 2/105 54*(-28)/(-1512)*11/(-2) -11/2 Evaluate ((-8592)/1790)/(6/(-75)). 60 What is ((-24)/(-112))/(3/21)*3/((-15)/4)? -6/5 What is (-912)/(-171)*(-68)/(-64)*-3? -17 What is (-20)/600*(-9)/(459/34)*1*-6? -2/15 What is the value of ((-1)/12)/(97/(-776))*9/(-11)? -6/11 What is the value of ((-12133)/11030)/((-4)/8)? 11/5 Calculate 92/46*3/(-3)*7. -14 What is (-2464)/(-112)*4*(-7)/35*(-5)/(-2)? -44 What is the value of 241528/7945*(-5)/(-2)? 76 What is (((-136350)/36)/15)/10*6/(-9)*6? 101 What is ((-2334)/77022)/(1/6)? -2/11 Calculate ((-9960)/11620)/(-15*(-12)/(-378)). 9/5 What is the value of 18/432*3584/(-5600)? -2/75 Evaluate 262/((-4380640)/40)*(-66)/2. 3/38 ((-119)/(-255))/(8379/(-570)) -2/63 What is the value of (10/2)/(-35)*98*28/(-196)? 2 Evaluate (((-4)/(-83))/(37532/853))/(1/11). 1/83 -21*(-141)/((-63168)/1408) -66 What is the value of ((-228)/(-3344))/((-4)/16)? -3/11 What is ((-7415)/8898)/(-2*(-5)/(-6))*160? 80 What is the value of (243/((-78489)/(-76)))/((-1)/(-119))? 28 ((-4)/13)/((-15736)/(-14612)) -2/7 What is the value of 65/((-1885)/(-812))*(-6)/24? -7 Evaluate (-63)/(-91)*((451/(-44))/41)/(3/(-4)). 3/13 Evaluate (16*1)/(969/(-323)*(-6)/(-27)). -24 Evaluate (96/1128*(-2)/(-4))/(79/(-158)). -4/47 7/14*8*4*(-2)/528 -2/33 What is the value of ((-366)/(-1464))/(2/(-256))? -32 What is the value of 21*(26/((-104)/8))/((-378)/324)? 36 Evaluate 4*((-3616)/(-477312))/((((-9)/(-3))/(-9))/(-2)). 2/11 Calculate ((-3)/(90/130))/((3/9)/(1419/(-129))). 143 ((2968/28)/(-53))/((-42)/(-231)) -11 Evaluate (-1)/(2/(-22))*(-768)/(16256/127). -66 Evaluate ((-73)/((-2555)/(-50)))/(15/168). -16 What is the value of (((-102)/552)/17)/((-60)/64*80/(-200))? -2/69 Evaluate (7*(-36)/588)/(2/(-14))*1/26. 3/26 Evaluate (-28)/1505*(-3565)/(-5704). -1/86 Evaluate (-5)/(-15)*-3*1*47/(1880/1160). -29 Cal
{ "pile_set_name": "DM Mathematics" }
of sequence zz when two letters picked without replacement from lczciicqc? 0 Two letters picked without replacement from vpvpvpvv. What is prob of sequence vp? 15/56 Four letters picked without replacement from {u: 2, s: 8, v: 5}. Give prob of sequence uuvu. 0 Three letters picked without replacement from {f: 1, i: 1, z: 1, v: 2}. Give prob of sequence fvi. 1/30 Four letters picked without replacement from eeeeee. Give prob of sequence eeee. 1 Four letters picked without replacement from rruuuudruudrurrruru. Give prob of sequence rdrr. 7/969 Four letters picked without replacement from {n: 4, g: 2, b: 1, h: 1, u: 1, y: 3}. Give prob of sequence bgyu. 1/1980 Four letters picked without replacement from {z: 1, x: 9, i: 4}. What is prob of sequence zxix? 12/1001 What is prob of sequence rzey when four letters picked without replacement from xxzeiyri? 1/1680 Three letters picked without replacement from {b: 1, z: 1, g: 1, h: 1, s: 1}. Give prob of sequence bgh. 1/60 Three letters picked without replacement from {m: 10}. Give prob of sequence mmm. 1 What is prob of sequence xv when two letters picked without replacement from {j: 3, d: 1, s: 3, w: 1, v: 3, x: 2}? 1/26 Calculate prob of sequence yjp when three letters picked without replacement from hwhjjhppbpbypjjjhj. 1/204 Calculate prob of sequence zkz when three letters picked without replacement from {k: 14, z: 4}. 7/204 Four letters picked without replacement from {e: 2, f: 3, j: 4, o: 1, u: 2, l: 2}. Give prob of sequence fofj. 1/1001 Calculate prob of sequence jqe when three letters picked without replacement from jeq. 1/6 Four letters picked without replacement from {r: 4, k: 1, j: 3, u: 2, v: 1}. What is prob of sequence vrjk? 1/660 Calculate prob of sequence hv when two letters picked without replacement from {h: 1, v: 1, i: 3}. 1/20 Two letters picked without replacement from aaeaeaaa. What is prob of sequence ea? 3/14 Four letters picked without replacement from vkmkuhvkmvvkikv. Give prob of sequence hvvk. 5/1638 Two letters picked without replacement from {q: 4, y: 7}. Give prob of sequence qy. 14/55 What is prob of sequence yxyy when four letters picked without replacement from {x: 15, y: 5}? 5/646 What is prob of sequence uu when two letters picked without replacement from {u: 3, m: 1, h: 1}? 3/10 Calculate prob of sequence mt when two letters picked without replacement from ytnnuml. 1/42 Two letters picked without replacement from {c: 2, u: 4, r: 3}. Give prob of sequence cc. 1/36 Calculate prob of sequence yyyy when four letters picked without replacement from {y: 5}. 1 What is prob of sequence gcd when three letters picked without replacement from pggxxhhgxxgpdc? 1/546 Calculate prob of sequence eeob when four letters picked without replacement from eeoeb. 1/20 Calculate prob of sequence iu when two letters picked without replacement from {i: 2, u: 2, w: 5}. 1/18 What is prob of sequence vcdv when four letters picked without replacement from {v: 7, c: 1, d: 4, l: 4, s: 2}? 7/3060 Calculate prob of sequence us when two letters picked without replacement from {s: 13, u: 3}. 13/80 What is prob of sequence krw when three letters picked without replacement from {o: 2, r: 2, z: 2, k: 1, h: 4, w: 1}? 1/660 Four letters picked without replacement from fzzzzjzfzfzfzfjzqf. What is prob of sequence qzzz? 7/1020 Four letters picked without replacement from {d: 7, g: 9}. What is prob of sequence dddg? 9/208 Two letters picked without replacement from {h: 1, w: 1, d: 1}. What is prob of sequence wd? 1/6 Calculate prob of sequence ay when two letters picked without replacement from {a: 10, i: 2, y: 2}. 10/91 Four letters picked without replacement from zzzszzkksskkzz. Give prob of sequence szzk. 3/143 Two letters picked without replacement from {r: 4, p: 2, i: 3, f: 3, b: 4}. Give prob of sequence pp. 1/120 Two letters picked without replacement from {m: 1, o: 1, d: 2, q: 6, k: 3}. What is prob of sequence kk? 1/26 What is prob of sequence ca when two letters picked without replacement from {d: 1, b: 3, u: 1, a: 3, c: 3}? 9/110 Four letters picked without replacement from ffffofofxofoxfooff. Give prob of sequence foff. 1/17 Two letters picked without replacement from {p: 2, o: 1, r: 1, l: 1, j: 1, t: 1}. Give prob of sequence jr. 1/42 What is prob of sequence rr when two letters picked without replacement from jvrvvrvjjy? 1/45 Calculate prob of sequence fpfp when four letters picked without replacement from {f: 14, p: 1}. 0 Calculate prob of sequence mn when two letters picked without replacement from kcmkcnccckk. 1/110 Calculate prob of sequence ff when two letters picked without replacement from ttjjttttftttft. 1/91 Two letters picked without replacement from mmii. Give prob of sequence im. 1/3 Two letters picked without replacement from {u: 2, y: 1}. What is prob of sequence yu? 1/3 Calculate prob of sequence yh when two letters picked without replacement from {a: 2, y: 12, h: 5}. 10/57 What is prob of sequence yza when three letters picked without replacement from zavtzyzwawya? 3/220 Two letters picked without replacement from {s: 7, o: 7, b: 4}. Give prob of sequence sb. 14/153 Four letters picked without replacement from szzjzdjdzzzy. Give prob of sequence ddjj. 1/2970 Three letters picked without replacement from {u: 1, k: 3, a: 12}. Give prob of sequence ukk. 1/560 Three letters picked without replacement from guaaabnajjuugjuug. What is prob of sequence uug? 1/68 Three letters picked without replacement from {q: 5, n: 1, e: 4, c: 5, x: 5}. What is prob of sequence nex? 1/342 What is prob of sequence nn when two letters picked without replacement from {n: 5, b: 2, r: 4}? 2/11 Four letters picked without replacement from {y: 2, m: 1, q: 4, c: 2, d: 1}. What is prob of sequence ydqm? 1/630 Calculate prob of sequence phmx when four letters picked without replacement from ppaxpxppxhaapmaam. 3/4760 Calculate prob of sequence ka when two letters picked without replacement from jjxjkjxgjxuxjuaja. 1/136 Two letters picked without replacement from lzzzlllzzzzlzzllzlzl. What is prob of sequence zz? 11/38 Two letters picked without replacement from {c: 10, i: 2}. What is prob of sequence ii? 1/66 What is prob of sequence qq when two letters picked without replacement from {q: 6}? 1 Calculate prob of sequence jb when two letters picked without replacement from objjo. 1/10 Calculate prob of sequence yyy when three letters picked without replacement from {q: 2, n: 2, y: 4}. 1/14 Two letters picked without replacement from {w: 6, e: 6}. Give prob of sequence we. 3/11 Four letters picked without replacement from cfezfzeffcciic. What is prob of sequence eziz? 1/3003 What is prob of sequence hhtv when four letters picked without replacement from {h: 2, t: 2, k: 1, s: 1, v: 1}? 1/210 What is prob of sequence igwi when four letters picked without replacement from xiiiiiiiiiiigaawi? 11/4760 Three letters picked without replacement from {n: 2, r: 6, c: 1, b: 9}. Give prob of sequence bbr. 3/34 Two letters picked without replacement from rrqqqqqqrqrqqr. What is prob of sequence qq? 36/91 Four letters picked without replacement from iciiiiciciiiiii. What is prob of sequence iici? 11/91 What is prob of sequence vv when two letters picked without replacement from {c: 13, v: 5}? 10/153 What is prob of sequence rzzl when four letters picked without replacement from rzlqzzarqz? 1/210 Calculate prob of sequence xpx when three letters picked without replacement from {p: 5, i: 9, x: 2, s: 3}. 5/2907 What is prob of sequence pbp when three letters picked without replacement from jjzpjnpbbjynyz? 1/546 Calculate prob of sequence tm when two letters picked without replacement from evtvdhm. 1/42 Two letters picked without replacement from hbhhbbbb. What is prob of sequence bh? 15/56 Four letters picked without replacement from lvllvllvlllllvlv. Give prob of sequence vvvv. 1/364 Three letters picked without replacement from lllllggllllllllg. What is prob of sequence llg? 39/280 Calculate prob of sequence hxhh when four letters picked without replacement from hhhhhhhhhhhhhhhhhx. 1/18 Three letters picked without replacement from mmmmpmpmppq. Give prob of sequence ppp. 4/165 What is prob of sequence uuuh when four letters p
{ "pile_set_name": "DM Mathematics" }
6 - -5/48. What is k in -2*k - 4/3*k**2 + 4/3*k**3 - 2/3 + i*k**b + 2*k**4 = 0? -1, 1 Let b(c) be the first derivative of -4*c**3/3 + 48*c**2 - 176*c + 174. Factor b(v). -4*(v - 22)*(v - 2) Let h(k) be the first derivative of 14 - 1/2*k**2 + 1/3*k**3 - 2*k. Find n, given that h(n) = 0. -1, 2 Factor 0 + 3/2*g**4 - 3*g + 15/2*g**2 - 6*g**3. 3*g*(g - 2)*(g - 1)**2/2 Let j = -11 - -10. Let v be 2 + (4 - 3 - j). Determine z so that 1/5*z**2 - 1/5*z**3 + 0 + 0*z - 1/5*z**v + 1/5*z**5 = 0. -1, 0, 1 Let o = -82 + 138. Factor 8*t**3 + 51*t + 12 + 3*t**4 + 10*t**3 - 15*t - 17*t**2 + o*t**2. 3*(t + 1)**2*(t + 2)**2 Let a = -45 + 36. Let r(t) = -t - 5. Let w be r(a). Determine z, given that 10/7*z**5 + 26/7*z + 4/7 + 76/7*z**3 + 64/7*z**2 + 44/7*z**w = 0. -1, -2/5 Let z be ((8/42)/((-6)/(-9)))/((-60)/(-294)). Determine m so that m**2 + 3/5 - 1/5*m**3 - z*m = 0. 1, 3 Let 0*v + 2/3*v**3 + 0 + 0*v**2 - 2/3*v**4 = 0. Calculate v. 0, 1 Let h(d) be the second derivative of -d**6/2340 + d**5/780 + d**3/2 - 2*d. Let a(v) be the second derivative of h(v). Suppose a(i) = 0. What is i? 0, 1 Suppose -1/5*u**2 - 2 - 7/5*u = 0. What is u? -5, -2 Let x(l) be the third derivative of l**8/1680 - l**7/210 + l**6/600 + 17*l**5/300 - 11*l**4/60 + 4*l**3/15 + 148*l**2 + 3*l. Let x(r) = 0. Calculate r. -2, 1, 4 Let v(w) be the third derivative of w**8/1512 - 2*w**7/315 + 13*w**6/540 - 2*w**5/45 + w**4/27 - 19*w**2 + 2. Find i, given that v(i) = 0. 0, 1, 2 Let s be 4/15 + (-52)/(-780). Let f(q) be the first derivative of -s*q**3 + 0*q - 6 - 1/2*q**2. Factor f(w). -w*(w + 1) Let v(l) be the second derivative of 3*l**5/10 - l**4/6 - 8*l**3/3 - 4*l**2 - 71*l - 2. Let v(q) = 0. Calculate q. -1, -2/3, 2 Let c be (50/175 - 33/(-7)) + -3. Suppose o = -c*o - 0*o. Determine f, given that -4/7*f**2 + 0 + o*f + 4/7*f**4 + 0*f**3 = 0. -1, 0, 1 Suppose 96 = 2*s - 122. Let 15*i + 5*i**3 - s*i**2 + 66*i**2 + 5 + 58*i**2 = 0. What is i? -1 Suppose 0 = 40*c - 6*c - 17*c - 51. Suppose -1/4*k**c - 3/4 + 1/4*k + 3/4*k**2 = 0. Calculate k. -1, 1, 3 Suppose -66 = -5*x - 4*l, -3*x - 3*l + 53 = x. Let d be (-4)/x - ((-69)/21 - -3). Factor 3/5*j + 3/5*j**3 + 6/5*j**2 + d. 3*j*(j + 1)**2/5 Let r(z) be the third derivative of 1/360*z**6 + 0*z + 0 - 1/90*z**5 + 1/630*z**7 + 0*z**4 + 6*z**2 + 0*z**3. Determine q, given that r(q) = 0. -2, 0, 1 Let w(c) be the first derivative of -c**4/6 - 4*c**3/9 + c**2/3 + 4*c/3 + 81. Find z such that w(z) = 0. -2, -1, 1 Let w(h) be the third derivative of 0*h**7 + 0*h**3 + 1/36*h**4 + 0*h - 1/90*h**6 + 1/504*h**8 + 0 - 18*h**2 + 0*h**5. Suppose w(n) = 0. Calculate n. -1, 0, 1 Suppose -4*j + 4 + 60 = 0. Suppose -2*f - j = -0*f - 4*t, 3*t = 15. Factor 4*i**2 + 10*i**2 - 15*i - 18*i**3 - f*i**2 + 6 + 15*i**3. -3*(i - 2)*(i - 1)**2 Let h be (-706)/1680 + (-21)/(-49). Let t(u) be the third derivative of 1/10*u**5 + 0*u + 0 + 1/2*u**4 + 4/3*u**3 + 4*u**2 + h*u**6. Factor t(g). (g + 2)**3 Let y be 2*(3 - 13/(-2)). Let f = y - 16. Suppose 6*h**4 + 4*h - 5*h**2 - 5*h**3 - 2*h**2 - 2*h**5 + f*h**3 + h**2 = 0. Calculate h. -1, 0, 1, 2 Let o(g) be the third derivative of g**7/280 - g**6/20 + 3*g**5/40 + g**4/4 - 7*g**3/8 - 2*g**2 - 156*g. Factor o(j). 3*(j - 7)*(j - 1)**2*(j + 1)/4 Let n(o) be the first derivative of -o**3 + 3/5*o**5 + 0*o - 3/4*o**4 + 6 + 3/2*o**2. Factor n(y). 3*y*(y - 1)**2*(y + 1) Let b = -3718 + 3720. What is j in -4/7*j - 4/7 - 1/7*j**b = 0? -2 Let a = -21 + 26. Suppose -a*f + q + 14 = -2, 3*q = 3*f. Factor 1/4*r**f - 3/4*r**3 + 0 + 1/2*r**2 + 0*r. r**2*(r - 2)*(r - 1)/4 Let m(d) = -4*d**3 + 6*d**2 - 5*d - 5. Let j(y) = -6*y**3 + 5*y**3 + 4*y + 4 - 5*y**2 + 4*y**3. Let z(b) = 5*j(b) + 4*m(b). Factor z(s). -s**2*(s + 1) Let y(a) = a**4 + 10*a**3 - 6*a**2 - 7*a + 14. Let l(j) = 4*j**4 + 30*j**3 - 18*j**2 - 20*j + 44. Let v(o) = -3*l(o) + 10*y(o). Factor v(r). -2*(r - 4)*(r - 1)**2*(r + 1) Let -1/3*f**5 + 0 + f - 2/3*f**3 - 4/3*f**2 + 4/3*f**4 = 0. What is f? -1, 0, 1, 3 Let z(c) be the second derivative of -c**4/8 - 3*c**3/4 - 2*c + 10. Factor z(g). -3*g*(g + 3)/2 Let c(o) be the second derivative of 4*o**5/85 + 5*o**4/102 - o**3 + 18*o**2/17 + 67*o. Factor c(u). 2*(u - 2)*(u + 3)*(8*u - 3)/17 Let s(c) be the first derivative of -1/3*c - 1/6*c**2 + 2/9*c**3 + 1/6*c**4 - 1/15*c**5 + 5 - 1/18*c**6. Let s(q) = 0. What is q? -1, 1 Let w = 82 + -78. Let o(k) be the first derivative of -4 + k**3 - 3/5*k**5 + 0*k + 3/2*k**2 - 3/4*k**w. Determine a so that o(a) = 0. -1, 0, 1 Let l(x) be the first derivative of x**4/30 + 2*x**3/15 + x**2/5 + 8*x + 11. Let d(h) be the first derivative of l(h). Factor d(p). 2*(p + 1)**2/5 Suppose 5*j = 15, -4*j + j = -4*w + 3. Suppose w*q = 5*u - 19, -2*q + 12*u = 10*u + 6. Factor -17/2*l**2 + q + 9/4*l**3 + 7*l. (l - 2)**2*(9*l + 2)/4 Let m(x) be the second derivative of x**4/6 - 2*x**3 + 8*x**2 - 8*x - 1. Factor m(b). 2*(b - 4)*(b - 2) Let v(j) be the first derivative of -5*j**4/4 + 10*j**3/3 + 60*j**2 + 372. Factor v(f). -5*f*(f - 6)*(f + 4) Let l(u) be the first derivative of 4*u**3/3 + u**2 + 7*u - 13. Let d(j) = j**2 - j + 1. Let c(i) = -15*d(i) + 5*l(i). Find v such that c(v) = 0. -4, -1 Let s(j) be the second derivative of -j**7/840 + j**6/120 + j**5/120 - j**4/8 + 4*j**3/3 - 7*j. Let u(f) be the second derivative of s(f). Factor u(k). -(k - 3)*(k - 1)*(k + 1) Suppose -2/21*a**4 + 2/21*a**5 + 4/3*a**2 + 2/7 - 22/21*a - 4/7*a**3 = 0. Calculate a. -3, 1 Let z(r) be the third derivative of -10/3*r**3 - 5*r**2 + 20/3*r**4 + 25/8*r**6 + 0*r - 85/12*r**5 + 0. Determine u so that z(u) = 0. 1/3, 2/5 Let c(r) = r**3 + 6*r**2 - 7*r + 5. Let n be 2 - (27/3)/1. Let i be c(n). Factor 2/3*y**3 - 1/3*y + 0*y**4 - 1/3*y**i + 0*y**2 + 0. -y*(y - 1)**2*(y + 1)**2/3 Suppose -678 = -3*t + 2*y - 178, -y = t - 160. Suppose t*q = 159*q + 20. Let -8/3*n + 20/3*n**q + 28/3*n**2 - 12*n**3 - 4/3*n**5 + 0 = 0. What is n? 0, 1, 2 Let f(z) be the first derivative of -5*z**8/336 + z**6/24 + 5*z**2/2 + 6. Let b(h) be the second derivative of f(h). Find o such that b(o) = 0. -1, 0, 1 Let x(d) be the first derivative of -d**4/8 + 7*d**3/18 - 2*d/3 + 197. Factor x(a). -(a - 2)*(a - 1)*(3*a + 2)/6 Suppose 4*a + 4 = -0*o + 5*o, 4 = a. Factor 5*t**2 + 26*t**2 - 6*t**2 - 15*t**3 + 3*t**o + 2*t**2 + 6 - 21*t. 3*(t - 2)*(t - 1)**3 Let d = 131 - 47. Let k be 8/28*d/9. Suppose k*b + 1/3*b**2 + 16/3 = 0. What is b? -4 Let u = -30836 + 30839. Find y, given that 0*y + 2/7*y**2 + 0 + 2/7*y**u = 0. -1, 0 Let n(h) be the third derivative of h**5/60 + 2*h**4/3 + 32*h**3/3 + 2*h**2 - 52. Solve n(z) = 0. -8 Let x(r) be the first derivative of r**6/16 - 3*r**5/8 - 9*r**4/32 + 13*r**3/8 + 15*r**2/8 - 371. Solve x(m) = 0. -1, 0, 2, 5 Let k(q) = -2*q**4 - 2*q**3 - 45*q**2 + 64*q - 25. Let n(v) = 3*v**4 + 3*v**3 + 45*v**2 - 63*v + 24. Let b(m) = 6*k(m) + 5*n(m). Factor b(a). 3*(a - 2)*(a - 1)**2*(a + 5) Factor -50*f**2 - 5 - 9*f**3 + 16*f**4 - 17*f - 13*f**2 + 3 + f**3 + 24*f**2. (f - 2)*(f + 1)*(4*f + 1)**2 Let w(h) be the second derivative of h**7/126 - h**6/72 - h**5/12 + 5*h**4/72 + 5*h**3/9 - 9*h**2 - h. Let l(f) be the first derivative of w(f). Factor l(j). 5*(j - 2)*(j - 1)*(j + 1)**2/3 Let y = -33 - -26. Let k be ((-224)/12)/y - 2. Solve 0 + 4/3*v + k*v**2 - 2/3*v**3 = 0. -1, 0, 2 Let q(h) = h. Let i be q(1). Let o be i*3 - (5 - 5). Factor 2*f**3 - 5*f**3 + 12*f**2 + 12*f + 6*f**o. 3*f*(f + 2)**2 Let g(j) be the first derivative of j**5/20 + j**4/4 - 13*j**3/6 - 15*j**2/2 + 225*j/4 - 547. Factor g(r). (r - 3)**2*(r + 5)**2/4 Let d = 23479/15654 - -1/7827. Factor -1029/2 - 441/2*n - 63/2*n**2 - d*n**3. -3*(n + 7)**3/2 Let u(t) be the first derivative of t**8/280 - 2*t**7/105 + t**6/30 - t**4/12 + 5*t**3 - 1. Let n(w) be the third derivative of u(w). Let n(p) = 0. What is p? -1/3, 1 Let 15/2*l + 4 + 11/4*l**2 = 0. Calculate l. -2, -8/11 Let w be (-15 + 6)/(-3) + 1 + -2. Suppose w*p + 8*p = p. Factor -2/7 + p*f + 2/7*f**2. 2*(f - 1)*(f + 1)/7 Factor 0 + 40/3*l + 4/3*l**2. 4*l*(l + 10)/3 Let g(w) = w**3 + 49*w**2 + 51*w + 157. Let d be g(-48). Let h(q) be the first derivative of d - 2/21*q**3 - 5/14*q**4 + 0*q**2 + 0*q. Factor h(n). -2*n**2*(5*n + 1)/7 Suppose 92*k - 5*k**3 + 11*k**2 + 24*k**2 - 2*k = 0. What is k? -2, 0, 9 Let p(w) be the first derivative of -w**3/4 + 9*w**2/2
{ "pile_set_name": "DM Mathematics" }
any minutes are there between 10:02 PM and 8:18 AM? 616 What is 681 minutes before 3:26 PM? 4:05 AM How many minutes are there between 6:33 AM and 12:26 PM? 353 How many minutes are there between 8:22 PM and 9:38 PM? 76 What is 236 minutes after 6:54 PM? 10:50 PM What is 117 minutes before 12:04 PM? 10:07 AM How many minutes are there between 11:11 AM and 4:02 PM? 291 What is 295 minutes before 6:06 PM? 1:11 PM How many minutes are there between 6:22 AM and 5:05 PM? 643 What is 501 minutes before 2:12 AM? 5:51 PM How many minutes are there between 9:36 AM and 8:20 PM? 644 What is 354 minutes after 1:47 AM? 7:41 AM How many minutes are there between 8:05 PM and 3:24 AM? 439 What is 553 minutes before 5:48 PM? 8:35 AM How many minutes are there between 5:34 PM and 10:55 PM? 321 How many minutes are there between 9:24 PM and 8:05 AM? 641 How many minutes are there between 7:40 PM and 11:07 PM? 207 What is 54 minutes after 8:22 PM? 9:16 PM What is 556 minutes before 6:13 PM? 8:57 AM What is 520 minutes before 6:36 AM? 9:56 PM How many minutes are there between 12:35 AM and 8:45 AM? 490 What is 420 minutes before 9:39 AM? 2:39 AM What is 172 minutes before 1:18 PM? 10:26 AM How many minutes are there between 6:40 PM and 2:05 AM? 445 How many minutes are there between 2:26 PM and 10:36 PM? 490 What is 303 minutes before 10:38 PM? 5:35 PM What is 92 minutes before 6:01 AM? 4:29 AM How many minutes are there between 12:25 AM and 9:10 AM? 525 What is 155 minutes before 11:10 AM? 8:35 AM How many minutes are there between 11:38 AM and 7:12 PM? 454 What is 481 minutes after 9:36 PM? 5:37 AM What is 292 minutes before 10:20 AM? 5:28 AM How many minutes are there between 1:50 AM and 1:54 AM? 4 How many minutes are there between 5:56 AM and 2:44 PM? 528 What is 605 minutes before 9:14 PM? 11:09 AM What is 217 minutes after 2:53 AM? 6:30 AM How many minutes are there between 7:00 PM and 12:00 AM? 300 What is 127 minutes before 11:24 AM? 9:17 AM How many minutes are there between 1:39 PM and 7:10 PM? 331 How many minutes are there between 4:01 PM and 5:01 PM? 60 How many minutes are there between 7:23 AM and 3:24 PM? 481 How many minutes are there between 12:25 AM and 10:21 AM? 596 How many minutes are there between 10:05 PM and 8:32 AM? 627 How many minutes are there between 6:59 AM and 8:16 AM? 77 What is 636 minutes after 1:25 AM? 12:01 PM What is 327 minutes after 8:04 AM? 1:31 PM What is 374 minutes after 3:01 AM? 9:15 AM What is 110 minutes after 1:11 AM? 3:01 AM How many minutes are there between 1:12 PM and 8:58 PM? 466 What is 10 minutes after 4:26 PM? 4:36 PM What is 524 minutes before 11:45 PM? 3:01 PM What is 296 minutes after 7:53 AM? 12:49 PM What is 197 minutes after 6:32 AM? 9:49 AM What is 53 minutes before 4:21 PM? 3:28 PM How many minutes are there between 7:30 AM and 6:30 PM? 660 How many minutes are there between 9:22 AM and 9:28 AM? 6 What is 466 minutes after 9:14 AM? 5:00 PM What is 630 minutes after 9:02 PM? 7:32 AM How many minutes are there between 3:10 AM and 1:26 PM? 616 How many minutes are there between 11:27 AM and 4:48 PM? 321 How many minutes are there between 4:26 AM and 6:03 AM? 97 How many minutes are there between 3:38 AM and 3:15 PM? 697 How many minutes are there between 12:43 AM and 10:21 AM? 578 What is 514 minutes after 3:50 AM? 12:24 PM How many minutes are there between 2:04 AM and 1:37 PM? 693 What is 657 minutes after 3:42 PM? 2:39 AM How many minutes are there between 12:34 PM and 10:44 PM? 610 How many minutes are there between 6:04 AM and 6:58 AM? 54 How many minutes are there between 12:50 AM and 9:00 AM? 490 How many minutes are there between 12:40 AM and 12:13 PM? 693 How many minutes are there between 2:14 PM and 7:36 PM? 322 What is 342 minutes after 3:34 PM? 9:16 PM How many minutes are there between 9:21 AM and 2:30 PM? 309 What is 439 minutes before 10:31 AM? 3:12 AM How many minutes are there between 7:01 AM and 2:37 PM? 456 What is 502 minutes after 5:07 AM? 1:29 PM How many minutes are there between 8:52 PM and 12:49 AM? 237 How many minutes are there between 1:30 PM and 12:34 AM? 664 What is 710 minutes before 1:46 AM? 1:56 PM How many minutes are there between 1:12 PM and 12:30 AM? 678 What is 246 minutes before 10:47 PM? 6:41 PM How many minutes are there between 1:35 AM and 1:07 PM? 692 What is 681 minutes after 7:37 AM? 6:58 PM What is 144 minutes after 6:51 PM? 9:15 PM What is 491 minutes before 2:36 AM? 6:25 PM How many minutes are there between 4:59 AM and 3:56 PM? 657 How many minutes are there between 8:24 PM and 2:55 AM? 391 How many minutes are there between 11:17 PM and 9:08 AM? 591 What is 323 minutes before 2:14 AM? 8:51 PM What is 693 minutes before 7:45 AM? 8:12 PM How many minutes are there between 10:50 AM and 2:53 PM? 243 What is 458 minutes before 8:16 PM? 12:38 PM How many minutes are there between 10:44 AM and 3:10 PM? 266 What is 39 minutes before 12:13 AM? 11:34 PM What is 202 minutes after 12:09 PM? 3:31 PM What is 253 minutes before 12:45 PM? 8:32 AM How many minutes are there between 8:58 AM and 1:01 PM? 243 What is 167 minutes after 12:12 PM? 2:59 PM What is 401 minutes after 2:55 PM? 9:36 PM How many minutes are there between 1:03 PM and 7:17 PM? 374 How many minutes are there between 8:31 PM and 12:37 AM? 246 What is 320 minutes before 10:27 AM? 5:07 AM How many minutes are there between 10:00 PM and 12:24 AM? 144 What is 528 minutes after 4:33 AM? 1:21 PM How many minutes are there between 1:39 PM and 5:10 PM? 211 How many minutes are there between 10:05 AM and 12:24 PM? 139 How many minutes are there between 3:06 PM and 11:43 PM? 517 What is 92 minutes after 1:08 PM? 2:40 PM What is 387 minutes after 3:06 PM? 9:33 PM How many minutes are there between 6:27 PM and 9:06 PM? 159 How many minutes are there between 8:49 AM and 8:32 PM? 703 How many minutes are there between 10:03 PM and 9:05 AM? 662 How many minutes are there between 5:11 AM and 1:56 PM? 525 What is 385 minutes before 6:25 PM? 12:00 PM What is 419 minutes before 11:13 PM? 4:14 PM What is 235 minutes after 10:35 PM? 2:30 AM What is 130 minutes after 10:19 AM? 12:29 PM What is 20 minutes after 1:13 PM? 1:33 PM What is 699 minutes before 7:19 AM? 7:40 PM What is 293 minutes after 12:42 PM? 5:35 PM What is 62 minutes after 10:44 AM? 11:46 AM How many minutes are there between 6:13 AM and 1:21 PM? 428 What is 53 minutes after 9:38 PM? 10:31 PM What is 323 minutes before 2:17 PM? 8:54 AM What is 692 minutes before 3:12 AM? 3:40 PM What is 472 minutes before 1:32 AM? 5:40 PM How many minutes are there between 5:27 AM and 5:37 AM? 10 What is 171 minutes before 8:41 PM? 5:50 PM How many minutes are there between 2:56 PM and 2:26 AM? 690 How many minutes are there between 11:52 AM and 10:16 PM? 624 How many minutes are there between 10:26 PM and 11:55 PM? 89 How many minutes are there between 4:56 PM and 6:53 PM? 117 How many minutes are there between 12:53 PM and 1:43 PM? 50 How many minutes are there between 1:35 AM and 11:34 AM? 599 How many minutes are there between 5:59 AM and 9:00 AM? 181 What is 136 minutes after 10:46 AM? 1:02 PM How many minutes are there between 8:22 PM and 8:33 PM? 11 What is 719 minutes before 12:33 PM? 12:34 AM What is 462 minutes after 5:00 AM? 12:42 PM What is 525 minutes before 5:24 AM? 8:39 PM How many minutes are there between 11:24 AM and 7:10 PM? 466 What is 120 minutes after 8:18 PM? 10:18 PM What is 429 minutes after 11:06 AM? 6:15 PM What is 439 minutes after 10:21 PM? 5:40 AM How many minutes are there between 9:03 PM and 2:07 AM? 304 How many minutes are there between 6:29 PM and 6:33 PM? 4 How many minutes are there between 9:17 PM and 10:59 PM? 102 How many minutes are there between 8:06 PM and 1:02 AM? 296 What is 410 minutes after 7:15 AM? 2:05 PM How many minutes are there between 1:07 AM and 9:09 AM? 482 What is 405 minutes after 8:06 AM? 2:51 PM How many minutes are there between 1:48 AM and 8:13 AM? 385 What is 391 minutes after 12:18 AM? 6:49 AM How many minutes are there between 8:40 PM and 3:20 AM? 400 What is 243 minutes after 12:24 AM? 4:27 AM How many minutes are there between 12:37 AM and 9:44 AM? 547 What is 376 minutes after 12:16 PM? 6:32 PM How many
{ "pile_set_name": "DM Mathematics" }
te m(-44). 482 Let g(k) = 86164*k + 947802. Determine g(-11). -2 Let r(m) = -17*m**2 - 730*m - 7888. Calculate r(-21). -55 Let u(o) = -69*o**2 - 2694*o + 121. Determine u(-39). 238 Let u(j) = 2*j**3 + 1575*j**2 - 17502*j + 6. Calculate u(11). 721 Let g(p) = -16596*p + 663692. Determine g(40). -148 Let y(h) = h**2 + 2085*h + 99730. Calculate y(-49). -34 Let v(o) = 85*o + 25995. Calculate v(-306). -15 Let w(d) = 4*d**2 + 269*d + 372. What is w(-18)? -3174 Let m(o) = 17*o**2 + 7358*o - 1312. Determine m(-433). -13 Let v(i) = 2*i**3 - 82*i**2 - 221*i + 84. Calculate v(-3). -45 Let o(l) = 55733*l - 111459. Determine o(2). 7 Let m(p) = -946*p**2 - 59*p - 3. Give m(-2). -3669 Let d(z) = z**3 + 1063*z**2 + 812*z - 265509. Give d(-1062). -9 Let b(k) = -3*k**2 + 89*k - 360. Determine b(9). 198 Let k(x) = 2196*x - 568770. What is k(259)? -6 Let s(q) = -4970*q + 79524. Calculate s(16). 4 Let q(l) = -14*l**2 + 6174*l + 82635. Determine q(-13). 7 Let b(r) = 3*r**3 - 88*r**2 - 421*r + 29. Calculate b(-5). -441 Let g(i) = 2*i**3 - 35*i**2 - 706*i + 12073. Determine g(16). 9 Let k(u) = 3*u**2 + 6508*u + 32431. Give k(-5). -34 Let g(x) = -54*x**2 - 2038*x - 3400. Determine g(-36). -16 Let j(x) = 2*x**3 - 74*x**2 + 18*x - 1439. Calculate j(39). 5347 Let f(k) = -k**3 - 1467*k**2 - 3271*k - 672. Determine f(-2). 10 Let f(w) = -59615*w + 536532. What is f(9)? -3 Let p(q) = -1378*q - 5645. What is p(-4)? -133 Let w(l) = -664*l - 9446. Give w(-15). 514 Let w(b) = 63*b**3 - b**2 - 145*b + 446. Determine w(3). 1703 Let u(t) = -110903*t + 664881. Determine u(6). -537 Let b(j) = -160*j - 5759. What is b(-32)? -639 Let d(j) = -28*j**2 - 164*j + 27. Calculate d(-6). 3 Let z(i) = 22*i**2 + 239*i - 963. What is z(-15)? 402 Let d(s) = -28938*s + 1041751. What is d(36)? -17 Let g(u) = -223*u - 16263. Calculate g(-73). 16 Let f(y) = y**3 - 210*y**2 - 2389*y + 416578. What is f(212)? -2 Let o(n) = 22742*n + 45289. Give o(-2). -195 Let h(m) = -2*m**3 + 38*m**2 + 72*m - 1436. Give h(18). 508 Let t(h) = 14*h**2 - 278*h + 99. Give t(19). -129 Let u(r) = -436711*r + 3056984. Give u(7). 7 Let x(y) = 299*y - 3618. Calculate x(11). -329 Let s(z) = z**2 + 2018*z + 370032. What is s(-204)? -24 Let f(i) = i**2 - 23625*i + 7641422. What is f(328)? 6 Let t(h) = -58092*h + 8365240. Give t(144). -8 Let j(t) = -3*t**2 + 269*t - 1166. Calculate j(81). 940 Let l(j) = 62810*j + 502485. Calculate l(-8). 5 Let s(f) = -21*f**3 - f**2 + 2*f + 30. Calculate s(-3). 582 Let p(n) = 722*n + 16170. Calculate p(-22). 286 Let i(j) = 462806*j - 462701. Give i(1). 105 Let z(j) = -2631*j + 323613. Calculate z(123). 0 Let k(u) = -51*u**3 - 1987*u**2 + 114*u + 1390. What is k(-39)? -14 Let m(w) = -13*w**2 + 7039*w + 119972. Determine m(558). 2 Let i(m) = -m**2 + 953*m - 34043. Give i(37). -151 Let x(g) = -g**3 + 7*g**2 - 187*g + 1034. Determine x(6). -52 Let w(g) = 53*g**3 - 25*g**2 - 11*g + 19. Calculate w(2). 321 Let o(x) = x**2 + 4061*x - 614224. Calculate o(146). -2 Let i(k) = -659*k + 7279. Determine i(11). 30 Let u(m) = -113*m**2 + 638*m + 3. What is u(6)? -237 Let z(m) = m**3 - 33*m**2 + 1991*m - 68842. Calculate z(34). 8 Let n(t) = 7314*t - 51329. What is n(7)? -131 Let m(s) = -4840*s + 580895. Calculate m(120). 95 Let o(a) = -62013*a - 2728583. Determine o(-44). -11 Let y(b) = 6*b**3 - 283*b**2 + 335*b - 630. Determine y(46). -32 Let i(s) = 6080*s + 12763. Determine i(-2). 603 Let d(n) = -n**2 - 7*n + 10407. Give d(-104). 319 Let p(h) = -3*h**3 + 467*h**2 - 534*h + 35404. Determine p(155). 684 Let r(n) = -8*n**2 - 711*n + 192. Give r(-89). 103 Let x(u) = 40255*u - 201301. Calculate x(5). -26 Let j(s) = -s**2 - 84410*s + 1519716. Determine j(18). 12 Let n(k) = k**2 - 478*k + 2914. What is n(6)? 82 Let a(k) = -11509*k + 1208506. Calculate a(105). 61 Let k(v) = 12*v**3 + 11*v**2 - 342*v - 64. Calculate k(5). 1 Let t(i) = -10*i**2 + 503*i - 416. What is t(50)? -266 Let c(p) = 34651*p + 277275. Give c(-8). 67 Let c(g) = -4325*g**2 - 8657*g - 10. Determine c(-2). 4 Let h(n) = -n**3 + 16*n**2 - 45*n + 767. Calculate h(16). 47 Let o(b) = 916*b - 567923. Give o(620). -3 Let h(u) = -1385*u + 5662. Give h(3). 1507 Let k(u) = 7*u**2 + 180*u - 1678. Give k(-33). 5 Let v(x) = 2*x**2 + 40711*x + 203499. Calculate v(-5). -6 Let c(b) = -b**3 - 69*b**2 - 893*b - 488. Determine c(-52). -20 Let d(y) = 570*y + 25194. Calculate d(-44). 114 Let s(h) = -h**2 - 520210*h + 6242667. What is s(12)? 3 Let s(k) = 226563*k + 1359363. Determine s(-6). -15 Let i(f) = -f**3 + 21*f**2 - f + 698. Give i(21). 677 Let w(q) = -2*q**2 + 156*q + 2995. Calculate w(-16). -13 Let x(v) = -17*v**2 - 531*v - 2960. Give x(-24). -8 Let m(p) = -1459*p + 8766. Calculate m(6). 12 Let u(r) = -24*r**2 + 1777*r + 664. What is u(73)? 2489 Let x(d) = d**2 + 16226*d + 6021465. Determine x(-380). -15 Let a(m) = -m**2 - 185*m - 8545. Give a(-88). -9 Let d(h) = -24*h**3 + 100*h**2 - 731*h + 2895. What is d(4)? 35 Let t(w) = -2*w**3 + 52*w**2 - 387*w + 55. Determine t(6). -827 Let m(y) = -3*y**2 + 6512*y + 1690724. Calculate m(2405). 9 Let x(o) = -9*o**3 - 710*o**2 + 55*o - 1903. Give x(-79). -7 Let c(z) = 7*z**2 - 24360*z - 24355. Calculate c(-1). 12 Let c(x) = -6628*x + 39774. What is c(6)? 6 Let n(g) = -g**3 + 235*g**2 - 2236*g - 160. What is n(10)? -20 Let i(t) = 276*t - 868. Determine i(-6). -2524 Let x(i) = 6*i**3 + 15*i**2 + 59*i - 3. Determine x(-3). -207 Let p(t) = -1320*t - 282482. Give p(-214). -2 Let o(q) = -1995*q + 682284. What is o(342)? -6 Let f(w) = w**3 - 15*w**2 - 80*w - 30. What is f(0)? -30 Let b(q) = -1966*q + 114257. Calculate b(58). 229 Let w(h) = h**3 - 131*h**2 - 24*h + 3250. Determine w(131). 106 Let k(m) = -21*m**2 - 12565*m + 75357. What is k(6)? -789 Let b(y) = -8*y**3 + 135*y**2 - 659*y - 6. Calculate b(5). -926 Let p(d) = d**3 - 752*d**2 - 30015*d + 143. Determine p(-38). -47 Let x(v) = v**3 + 13*v**2 + 2585*v + 36448. What is x(-14)? 62 Let y(a) = -141212*a + 423652. What is y(3)? 16 Let m(d) = 5*d**2 - 220*d + 2189. Determine m(43). 1974 Let j(b) = 26*b**2 + 2003*b + 37789. What is j(-33)? 4 Let f(t) = 1581*t - 32328. What is f(20)? -708 Let i(t) = 3*t**2 - 2228*t - 3048919. What is i(-703)? -8 Let m(o) = 16*o**3 + 3*o**2 - 127*o + 357. What is m(6)? 3159 Let k(z) = 10*z**2 + 203*z + 1423. Determine k(-7). 492 Let p(y) = -12201*y + 73339. Calculate p(6). 133 Let g(t) = t**2 + 1567*t - 15760. Determine g(10). 10 Let l(m) = m**3 - 120*m**2 + 987*m - 10181. Determine l(112). 11 Let p(g) = 32*g**3 + 73*g**2 + 142*g + 294. Calculate p(-2). 46 Let g(v) = -103*v + 1961. Determine g(19). 4 Let k(b) = 3*b**2 - 281*b - 83210. Determine k(-126). -176 Let w(p) = 15*p - 597. Give w(38). -27 Let s(i) = -3*i**2 + 419*i + 3950. What is s(-9)? -64 Let q(i) = 366*i + 3264. Give q(-9). -30 Let b(d) = -15*d**2 + 220*d + 12. Calculate b(11). 617 Let d(f) = 3628*f + 1110152. Determine d(-306). -16 Let p(m) = 170*m + 10981. Calculate p(-62). 441 Let d(z) = 21078*z - 106294. What is d(5)? -904 Let f(y) = 27*y**2 + 84*y - 552. Calculate f(7). 1359 Let p(u) = -57*u**2 - 65*u + 131. What is p(2)? -227 Let v(j) = 15*j**3 + 3570*j**2 - 189*j - 44978. What is v(-238)? 4 Let i(c) = 4*c**3 - 287*c**2 + 38*c - 8387. What is i(72)? -467 Let h(n) = -123*n**2 + 9*n - 53. Calculate h(3). -1133 Let m(v) = -73*v**2 - 604*v - 1757. What is m(-3)? -602 Let n(q) = 34*q**2 + 509*q + 882. Calculate n(-2). 0 Let k(y) = y**3 - 4*y**2 + 65576*y - 196724. What is k(3)? -5 Let p(n) = n**3 - 56*n**2 + 406*n + 329. Determine p(48). 1385 Let p(m) = -986*m - 12627. Determine p(-13). 191 Let y(f) = 6*f**3 - 64*f**2 + 162*f - 1223. Give y(10). -3 Let i(g) = -2*g**3 + 417*g**2 + 163*g + 9624. What is i(209)? 10 Let f(c) = 6*c**2 - 372*c + 1059. What is f(3)? -3 Let u(q) = 640603*q - 640597. Give u(1). 6 Let k(q) = -q**2 + 2311*q + 30232. Give k(-13). 20 Let h(y) = y**2 + 792*y - 7207. Give h(-801). 2 Let n(h) = 3*h**3 + 5*h**2 + 39*h - 16. What is n(6)? 1046 Let b(l) = -258*l - 6531. Give b(-20). -1371 Let a(h) = -2952*h**2 + 14779*h - 9. What is a(5)? 86 Let v(s) = s**3 - 1488*s**2 + 80285*s - 133179. Calculate v(1432). -3 Let r(l) = 20*l**3 - 4517*l**2 + 377*l - 238424. Calculate r(226). 6 Let y(g) = -13214*g + 2404947. Calculate y(182). -1 Let f(t) = 5599*t - 470555. What is f(84
{ "pile_set_name": "DM Mathematics" }
+ 32 = 0, -5*w = 3*j - 1 - f. Let s(k) = -8 - 1 + 3 + k. Give s(w). -1 Let c(v) be the first derivative of -v**3/3 - 4*v**2 - 6*v - 5. Determine c(-5). 9 Suppose -5*s - 1 + 21 = 0. Let l(t) = 4*t**2 - s*t + 6 + 0*t**2 - 5*t**2. Determine l(-6). -6 Let r(d) = -6*d + 5*d**2 - 5*d**2 - d**2 - 5. What is r(-5)? 0 Let w(l) = -l**3 - 7*l**2 - 7*l - 2. Let a be w(-6). Let h(n) = a*n - n - 4*n + 7*n**3. Let z(s) = s**2 - 11*s + 9. Let b be z(10). Give h(b). -6 Let a(z) = 2*z**3 + 2*z**2 + z + 1. Let w(h) = 3*h**3 + h**2 + h + 2. Let b(j) = -4*a(j) + 3*w(j). Calculate b(5). -3 Let s(m) = -4*m - 2*m + 6*m**2 + 5 + 4*m - 6. Give s(-1). 7 Let a(n) be the second derivative of 3*n + 0 - 1/2*n**3 + 3/2*n**2. Let j be (-16)/(-6) - 3/(-9). Calculate a(j). -6 Let h be (3 - 3)/(2 + -1). Let n = 6 + h. Let j = n + -5. Let x(y) = y**3 - y. Calculate x(j). 0 Let c(l) = -2*l + 4*l - 5 - 6*l. Suppose -7*u - 40 = 3*u. Give c(u). 11 Let f be (-3)/(-1 + -2) - 0. Suppose 3 = -3*n + 6. Let m(q) = -13*q**2 + 5*q + 2. Let t(h) = h**2 - h - 1. Let p(y) = n*m(y) + 3*t(y). Give p(f). -9 Let t(q) = -3*q + 6. Let y be t(4). Let d(k) = k**3 + 6*k**2 + 2. Calculate d(y). 2 Let a(u) be the second derivative of u**4/12 + u**3/6 + u**2/2 + u. Calculate a(2). 7 Let q(s) = -s + 4. Suppose 2*c + k - 3 = c, 2*c - 9 = -3*k. Determine q(c). 4 Let j be 15*((-8)/(-6) + -1). Let u(v) = -2 + 4*v**2 - 4*v - j*v**2 - 2. Give u(-3). -1 Let u(s) = 8 - 12*s + 4 - 12. Calculate u(1). -12 Let a(b) = 1. Let u(j) = j. Let n(r) = a(r) + 3*u(r). What is n(6)? 19 Let h(x) be the first derivative of -7*x**3/3 + x**2/2 - 25. Determine h(-1). -8 Let m = -22 + 24. Let c(b) = 5*b**m - 3 - 12*b**3 + 11*b**3 + 2 + 3*b + b. Give c(6). -13 Let q(a) = 11*a + 9*a - 11*a. What is q(1)? 9 Let a = 54 - 55. Let j(s) = s**3 - s**2 - 2*s - 1. Determine j(a). -1 Let s(z) = z**2 - 1. Suppose 0 = -2*u - 10, 1 = -4*w - 2*u + 3. Let l = -3 + w. Let x = -2 - l. Determine s(x). 3 Let d(t) = -t**3 - 4*t**2 - 3*t + 3. Let w = -4 + 12. Let n = -23 + 12. Let u = n + w. Give d(u). 3 Let w(t) = -2*t + 5. Let z be (-2)/(-11) - (-256)/44. Calculate w(z). -7 Suppose 4*d = -3 - 1. Let q(k) = 25*k + 30. Let a(y) = -y - 1. Let g(h) = d*q(h) - 30*a(h). Determine g(2). 10 Let i(s) = 2*s**2 - 11*s + 6. Let c be i(5). Let m(t) = 12*t + 3*t - c - 9*t. Calculate m(-1). -7 Suppose -20 = -0*w + 2*w. Let l = w - -20. Let c(h) = 0 - 13*h + 0 + l*h. Determine c(-3). 9 Let x(r) = 5 - 5 - 6*r + 7 - r**2. Suppose 17 = 3*b + 2*n - 31, 0 = -4*b - 5*n + 71. Let v = 8 - b. Calculate x(v). 7 Let o(m) = -m**2 - 2*m**3 - 13 + 16 + m**3 - 4*m**2 - 4*m. Suppose 14 = 5*y - 11, -5*k = -5*y + 45. What is o(k)? 3 Let c(l) = 3*l + 19*l**2 + 5 - 7*l**2 + 2*l - 10*l**2. What is c(-4)? 17 Let z(b) = -b**2 + 3*b - 1. Let x = 0 - -2. Suppose x*f = 6*f - 16. Determine z(f). -5 Let a(x) = -x**2 + x - 3. Let n be (0/1)/(0 + 2). Let u be a(n). Let p(g) be the first derivative of g**3/3 + 2*g**2 + 2*g + 3. What is p(u)? -1 Let m(b) = -1 + 2 - 6 - b**2 + 8*b. Give m(8). -5 Let w(s) = -s**2 + 7*s + 4. Let k be w(8). Let i(d) = d**3 + 5*d**2 + 7*d + 4. Calculate i(k). -8 Suppose 5*b - 3*j - 33 = -3, b - 18 = 3*j. Let a(o) = 3*o - 4. Calculate a(b). 5 Let c(l) = -4*l - 2. Let j be 132/9 - 1/(-3). Let v = j + -10. Let x be (-33)/15 - (-1)/v. Determine c(x). 6 Let b(p) be the first derivative of -p**4/4 - 7*p**3/3 - 5*p**2/2 + 4*p - 1. Let w be (-12)/2 + (1 - 1). Give b(w). -2 Let l(b) = -5*b. Let d = 0 + -2. Calculate l(d). 10 Let q(m) = 3*m + 3. Let u = -12 - -11. Let v be (16/2)/(-4) + u. Calculate q(v). -6 Let m(s) = 9*s + 6. Let q(b) = b + 1. Let c be (2/(-4 + 2))/1. Let x be (-1 - (0 - -2))*-2. Let l(u) = c*m(u) + x*q(u). Determine l(3). -9 Suppose -12 = -7*o + 3*o. Suppose -5*l - 46 = 2*u - 13, -o*u = 4*l + 32. Let q(d) = d + 6. What is q(l)? 1 Let r(p) = 1. Let u(y) = y - 6. Let z(v) = -r(v) - u(v). Give z(9). -4 Let m(j) = -j**2 + 17. Let c be m(4). Let d(a) = 7*a**2 + a - 1. What is d(c)? 7 Let g(f) = f**3 + 10*f**2 - 12*f - 7. Let c be g(-11). Let i(b) = b**2 - 7*b + 6. Determine i(c). -6 Let q(k) = -k + 12. Let g(a) = -6*a + 60. Let x(o) = 2*g(o) - 11*q(o). Let i be 156/(-18) - (-2)/3. Let c = i + 3. Give x(c). -7 Let i(n) be the second derivative of n**5/20 + n**4/3 - 5*n**3/6 + n**2 + 12*n. Determine i(-5). 2 Suppose 0 = -0*n - 2*n + 4. Suppose 2*x + 18 = 3*z - 14, -5*z - n*x = -32. Let i(y) = 3*y**2 + 5*y - 2*y**2 - 1 - z*y. Calculate i(4). 3 Suppose 5*f - 21 = -3*r, 3*f = 13 - 4. Let a(v) = -3*v**2 - v + 5*v**r - v**2. Let y = 3 - 0. Give a(y). 6 Suppose 4 = -0*z - z. Let f(x) = 9*x - 1. Let a(j) = -8*j. Let v(t) = 6*a(t) + 5*f(t). What is v(z)? 7 Let z(f) be the second derivative of 0 - 5*f + 0*f**2 - 1/6*f**3. Give z(2). -2 Let z(g) = -g - 22. Suppose -11*u + 2*u = 0. Calculate z(u). -22 Let j be (-5)/((-15)/6)*-1. Let t(v) = v**3 + v**2 + 2*v + 1. What is t(j)? -7 Let d(y) = -y + 4. Let c(f) = 2*f - 6. Let x(p) = -2*c(p) - 3*d(p). Give x(-5). 5 Let v(k) be the third derivative of -2*k**5/15 - k**4/12 - k**3/6 - 7*k**2. Calculate v(-1). -7 Let f(i) be the second derivative of 0*i**4 + 0 - 1/20*i**5 + 3*i + 1/2*i**2 + 0*i**3. Give f(-2). 9 Suppose 0 = -4*k - k + 55. Let p(x) = 7*x + 8. Let i(r) = 4*r + 4. Let t(c) = k*i(c) - 6*p(c). Determine t(6). 8 Suppose -5*x + 5 = 5*i, -3*i + 19 = 3*x - 4*i. Let b(k) = k - 2. Calculate b(x). 3 Suppose k = -4*t + 25, -20 = 2*t - 4*t - 2*k. Let i(l) = -l**2 - 6*l + 2. Let d(x) = 3*x**2 + 13*x - 4. Let g(q) = -4*d(q) - 10*i(q). What is g(t)? -14 Let u(l) be the third derivative of -l**6/120 - l**4/24 + l**2. Suppose 0 = 3*p + 3 + 24. Let i = 10 + p. Determine u(i). -2 Let p(y) = -11*y**3 - y**2 - y. Let f be -1*3/(5 + -2). Determine p(f). 11 Let m(d) be the third derivative of d**6/720 + d**5/120 + d**4/12 - d**2. Let p(r) be the second derivative of m(r). Determine p(2). 3 Let k(a) = 5*a**3 + 2*a - 1. Suppose -5*u = -1 - 4. Let l be u/1 + 0 - 0. Determine k(l). 6 Let u(x) = -5*x. Let k(d) = d. Let c(n) = 6*k(n) + u(n). Let s(p) = 2*p + 0*p - p. Let v(m) = 7*c(m) - 6*s(m). Give v(-5). -5 Suppose -5*g - 14 = w - 3*w, -2*w + 3*g = -6. Let j = -1 - w. Suppose -2*y = 2 + j. Let r(s) = 4*s. What is r(y)? -8 Let q(b) = b - 9*b + 5*b - b**3 + 0*b + 4*b**2. Give q(2). 2 Let b = -6 + 4. Let f(p) = 4*p - 5. Let h(k) be the second derivative of -7*k**3/6 + 9*k**2/2 - k. Let x(u) = 5*f(u) + 3*h(u). Determine x(b). 4 Let o(b) = -9*b. Let f(i) = i. Let u(c) = 6*f(c) + o(c). Give u(6). -18 Let f(k) = -2*k**2 - 4*k - 3. Let l(i) = -2*i**3 + 0*i**2 - i**2 + 4*i**3. Let c be l(-1). Give f(c). -9 Let j = -5 + 9. Let m(q) = j*q + 0*q + 6*q**2 + q**3 - 8 + 0*q + 1. Give m(-5). -2 Let w(l) = l**3 + 2*l**2 + l. Suppose 5*r + 1 = 4*y - 1, -4*r + 5 = -y. Suppose -y*f - f + s - 6 = 0, 2*s + 1 = -5*f. What is w(f)? 0 Let u(b) = -3*b**3 + b - b + b - 2*b**2. Suppose 5*a + 2*r - 20 = -3*r, 4*a - r = 1. What is u(a)? -4 Suppose -4*s + 0*s + 16 = 0. Let y(o) = -2*o - 9. Let t be y(-6). Let g(r) = -6 + t - r**2 + 2 + 3*r. Give g(s). -5 Let c(o) be the first derivative of -o**4/12 + 2*o**2 - o - 1. Let z(b) be the first derivative of c(b). Determine z(0). 4 Suppose 5*h - 4*k + 2 = 3*h, h - 5*k - 2 = 0. Let r(a) = -3*a + 4 + 4*a + 3*a. Give r(h). -8 Let a(r) = -r**3 + r**2 + r - 1. Let s(v) = 4*v**3 - 4*v**2 - 6*v - 3. Let i(q) = -5*a(q) - s(q). Calculate i(0). 8 Suppose 5*b = 4*v + 11, 4*b + 4*v = 2*b + 10. Let u(n) = 2*n**2 - n - 1. Let x be u(-1). Let s(g) = 0*g**x - 4 - b*g + 5*g + g**2. What is s(-4)? 4 Let z(i) = i + 4. Let b be z(-7). Let f(q) = -6*q - 5. Let s(l) = -7*l - 6. Let c(w) = b*s(w) + 4*f(w). Calculate c(-2). 4 Let m(i) = -i**2 - 3*i + 3. Let p(w) = -5*w**2 - 13*w + 12. Let r(s) = 9*m(s) - 2*p(s). Let h be 6/9 - 2/3. Calculate r(h). 3 Suppose -k - 4 = -5*r + 2*r, 4*r - 8 = 0. Let a(g) = 0 - k + 2*g + 6. What is a(-4)? -4 Suppose 4*u = 6*u - 4. Let q(j) = 1 + j**u + 2 - 2*j - 3*j. Suppose 2 = -2*c + 10. What is q(c)? -1 Suppose -11*t - 18 = -84. Let q(o) = o**2 - 8*o. What is q(t)? -12 Let v(k) = k**2 + 5*k - 2. Let r = 22 + -26. What is v(r)? -6 Let v(u) = 2*u - 6. Let l(a) = -a. Let b(c) = 3*l(c) + v(c). Determine b(-5). -1 Let i(u) = 2*u**3 + 8*u**2 - 9*u + 6. Let m(n) = 0*n**3 - 5*n + 15*n**2 + 3*n**3 - 12*n + 11. Let d(r) = -5*i(r) + 3*m(
{ "pile_set_name": "DM Mathematics" }
6480? 22174560 Calculate the lowest common multiple of 11 and 617317. 6790487 What is the common denominator of 79/39164802 and 115/66? 430812822 Calculate the smallest common multiple of 375436390 and 126. 3378927510 What is the lowest common multiple of 917835 and 39904? 851750880 Calculate the lowest common multiple of 562244 and 7. 3935708 Calculate the common denominator of -93/46310 and 89/39116. 82339180 What is the smallest common multiple of 19014 and 13968? 44264592 Calculate the lowest common multiple of 488907000 and 2700. 1466721000 What is the lowest common multiple of 2532764 and 28421913? 6025445556 What is the least common multiple of 11436 and 64853556? 64853556 What is the common denominator of -101/15030 and 47/294588? 1472940 Find the common denominator of -115/230634 and 71/2050080. 18450720 Find the common denominator of -17/1311705 and -29/927. 1311705 What is the common denominator of -45/20173532 and -1/618820? 100867660 Find the common denominator of -119/4594824 and 41/464. 266499792 Calculate the smallest common multiple of 15265 and 4703750. 202261250 Calculate the common denominator of -22/1933285 and 71/733315. 21266135 Calculate the lowest common multiple of 54648660 and 37510. 601135260 What is the least common multiple of 137526849 and 31249? 137526849 Calculate the common denominator of 79/628020 and 139/324. 1884060 Calculate the common denominator of -25/19356 and -31/216. 348408 What is the common denominator of 31/295944 and 118/65835? 31074120 What is the smallest common multiple of 600 and 911856? 22796400 What is the common denominator of -41/10029740 and -53/323540? 10029740 What is the common denominator of -151/15660 and 179/2941470? 17648820 Calculate the smallest common multiple of 133104 and 499140. 1996560 Find the common denominator of 76/6563187 and 137/191061666. 1719554994 What is the lowest common multiple of 54 and 12017502? 36052506 Calculate the least common multiple of 26551722 and 2608. 212413776 What is the common denominator of -61/4365 and -19/186240? 558720 Calculate the lowest common multiple of 20670603 and 852396. 82682412 Calculate the common denominator of -15/3126967 and 28/23771. 34396637 Calculate the lowest common multiple of 6246053 and 1135646. 12492106 What is the common denominator of -67/1656 and -95/65659986? 262639944 What is the smallest common multiple of 6266568 and 216? 56399112 What is the smallest common multiple of 28204 and 2674893? 117695292 What is the common denominator of -139/34800138 and 59/10? 174000690 Find the common denominator of 71/15841596 and -37/4398. 15841596 What is the least common multiple of 19914 and 2071056? 2071056 What is the smallest common multiple of 7740 and 990? 85140 Calculate the least common multiple of 60795 and 1407. 4073265 Find the common denominator of 155/48693612 and 131/29876. 340855284 Find the common denominator of 151/66696 and 127/2058048. 14406336 Calculate the least common multiple of 1720009 and 9752. 13760072 What is the least common multiple of 1782 and 17807526? 17807526 What is the smallest common multiple of 1172 and 4986792? 1461130056 What is the least common multiple of 362 and 174780? 31635180 What is the lowest common multiple of 34020615 and 11340205? 34020615 Find the common denominator of 43/11609206 and 59/10. 58046030 What is the least common multiple of 19329 and 120088? 136540056 What is the smallest common multiple of 3 and 91081143? 91081143 What is the least common multiple of 2479896 and 273? 225670536 What is the least common multiple of 7 and 23986537? 167905759 What is the lowest common multiple of 18 and 32698514? 294286626 What is the smallest common multiple of 32040 and 1886880? 503796960 Calculate the common denominator of -74/184977 and 71/1664793. 1664793 Calculate the least common multiple of 17915916 and 126. 376234236 What is the lowest common multiple of 115344 and 122553? 1960848 What is the lowest common multiple of 4093446 and 32747568? 32747568 Calculate the lowest common multiple of 9847032 and 365937. 108317352 What is the common denominator of 73/12561789 and -55/371566? 326606514 Calculate the least common multiple of 312426 and 35735. 10934910 Calculate the common denominator of -85/2686482 and 82/351. 104772798 Calculate the least common multiple of 65802491 and 4245322. 131604982 Calculate the common denominator of 38/30375 and -22/759375. 759375 Calculate the common denominator of -2/27 and -37/4073319. 12219957 What is the smallest common multiple of 7287 and 932736? 932736 What is the lowest common multiple of 2857416 and 127944? 8572248 Calculate the lowest common multiple of 265713 and 10. 2657130 Find the common denominator of 47/44991500 and 9/145. 1304753500 Find the common denominator of 31/6480 and -173/77131440. 77131440 Find the common denominator of -68/7846275 and 143/627702. 15692550 Calculate the lowest common multiple of 44285325 and 674824. 354282600 What is the smallest common multiple of 298895894 and 44? 597791788 What is the least common multiple of 899466 and 134? 60264222 What is the lowest common multiple of 93010666 and 161? 93010666 Calculate the common denominator of -61/6 and -1/255510259. 1533061554 Calculate the least common multiple of 23 and 7435064. 171006472 Calculate the least common multiple of 463000 and 292. 33799000 Calculate the least common multiple of 4067994 and 5423992. 16271976 What is the least common multiple of 53130 and 106260? 106260 Calculate the least common multiple of 9960 and 52110. 17300520 Find the common denominator of 91/648 and 91/54972. 329832 What is the lowest common multiple of 12785352 and 131340? 703194360 What is the common denominator of 67/6 and -113/3165486? 3165486 Find the common denominator of -73/82038255 and -12/27346085. 82038255 Calculate the common denominator of -113/1010 and -43/849713. 8497130 What is the common denominator of -53/4879 and 27/5894? 4108118 What is the common denominator of 7/185712 and -11/20? 928560 What is the smallest common multiple of 24 and 9373518? 37494072 What is the smallest common multiple of 3074274 and 85054914? 255164742 Calculate the lowest common multiple of 412 and 100712. 10373336 What is the common denominator of -95/9258 and -65/652689? 1305378 What is the smallest common multiple of 368 and 25843490? 206747920 Find the common denominator of -91/90332 and 51/1790216. 19692376 What is the common denominator of -31/1588092 and -49/5364? 709877124 Calculate the smallest common multiple of 650781 and 20752683. 186774147 Calculate the lowest common multiple of 6809034 and 216767. 115753578 What is the common denominator of 149/120 and 103/21814800? 21814800 Find the common denominator of -91/12 and 127/899500. 2698500 Calculate the common denominator of 29/1996 and 43/51246. 51143508 What is the lowest common multiple of 86 and 223990? 9631570 Calculate the lowest common multiple of 1069500 and 7843000. 23529000 Find the common denominator of 46/81 and 95/14938686. 134448174 Calculate the common denominator of 163/1100616 and 73/1596. 146381928 Calculate the common denominator of -209/12180 and -17/9932895. 1152215820 Calculate the least common multiple of 1477179 and 774. 2954358 Find the common denominator of -113/8025078 and -11/9362591. 56175546 What is the common denominator of 56/621395 and 157/798? 26098590 Calculate the common denominator of -23/441555 and -151/1059732. 5298660 What is the least common multiple of 7152 and 241380? 965520 What is the common denominator of 137/3787490 and 93/5410700? 37874900 What is the common denominator of 39/169202 and -103/25611030? 281721330 What is the least common multiple of 530 and 51102971? 511029710 Calculate the common denominator of 71/16545600 and 127/27576. 16545600 Find the common denominator of -181/135360 and -109/3948. 947520 Calculate the lowest common multiple of 247585 and 910. 3466190 What is the common denominator of -71/116325 and 1/13959? 348975 What is the smallest common multiple of 42 and 6272343? 12544686 What is the least common multiple of 30 and 26806062? 134030310 What is the least common multiple of 13352 and 46328? 77321432 What is the common denominator of -94/759225 and 4
{ "pile_set_name": "DM Mathematics" }
Solve -6*j + 30 + 6 = 12*s, 5*s - 2*j - 1582 = -1585 for s. 1 Solve -2*n + 3*y + 282 = 145, -13098 + 12855 = -3*n - 8*y for n. 73 Solve -3*a + 278300 = 2*c + 278273, -10*a - c + 73 = 0 for a. 7 Solve 3*a - v + 20 = 0, 1039*a + 2*v + 37 = 1034*a for a. -7 Solve -57 = -i - 32*s + s, -7*i - 42*s + 46*s - 43 = 0 for i. -5 Solve -11*i + i + 3*a + 43 = 0, i - 5*a = 303 - 247 for i. 1 Solve 1585*f + 83 = 1577*f + s, -5*s = -5*f - 30 for f. -11 Solve 710*h - 708*h - k + 16 = 0, 3*k - 6 = 0 for h. -7 Solve w - 4*p - 39 = p, -94 + 231 = 7*w - p for w. 19 Solve 3*x + 3*x = -14*y + 2*x + 60, -12*y + 39*y - 12*y - 120 = 5*x for y. 6 Solve 4*b - 6*z = 104, 5*z - 108056 = 2*b - 108136 for b. 5 Solve -3*i - 104*t = 101*t + 1106, -115 = 5*i - 0*i - 4*t for i. -27 Solve 2857*a - 2853*a = 3*h + 157, -2*h - 78 = 4*a for a. 4 Solve -10*a - 14*a + 19*a + 65 = 4*c - 2*a, 3*c + 3*a = c + 73 for c. -4 Solve 3*l - 14 - 6 + 29 = -3*c, 197*l + 0*c = -5*c - 1359 for l. -7 Solve -5*f - 167*a = -160*a - 1 - 14, 4*f = 3*a - 31 for f. -4 Solve 3*b + 133*p - 128*p - 60 = 0, -5*b + 10*p - 175 = 0 for b. -5 Solve -n = 3*h + 70 + 11, 466*n = h + 462*n + 27 for h. -27 Solve -n - 4*w - 142 - 159 = -276, 3*n = 85*w + 507 for n. -1 Solve 2*s - 57 = -5*k, 24*s - 392 = -5*k + 17 for k. 5 Solve 2*r - 6*l = -32, -48*r + 44*r - 13 - 4 = -0*l - 2*l + 17 for r. -7 Solve 218*k = 213*k + 858*p + 2464, -69 = 3*k + p for k. -22 Solve -4*o = 4*h + 136, 7*o - 4*h - 10 = 2*o + 111 + 15 for o. 0 Solve 0 = -3*y - 6, -3*d - 70*y - 228 = -8*d - 68 for d. 4 Solve -4*z + 5058891*a = 5058894*a + 33, -a = 10*z + 89 for z. -9 Solve -186877*t + 186881*t + 2*w - 46 = 0, -3*t = w - 32 for t. 9 Solve 3*o - 40 = 13123*u - 13119*u, 0 = -5*o - 4*u - 72 for o. -4 Solve 20*b + 2*i = 6*b - i - 54, -5*b + 28*i - 33*i = -20 for b. -6 Solve -2*c + 254 = m + 239, -79*c - 4*m - 153 = 0 for c. -3 Solve b - 5*g = -20, 159*b - 161*b + 13*g - 8*g = 15 for b. 5 Solve -4*k = o - 183, 0 = -804*k + 808*k + 8*o - 176 for k. 46 Solve 3*y = -551*s + 279*s + 271*s + 5*y + 6, 21*y - 384 = 149*y for s. 0 Solve -o = 8*z - 148660 + 148680, 4*o - 2*z = -46 for o. -12 Solve -4*k - 114*o = -110*o - 16, k + 3*o = 4 for k. 4 Solve 31*r - 18*r + i - 19 = 17*r, 39*i = -3*r - 213 for r. -6 Solve -3*p = 2*o - 2*p, -8*p + 7 = -14*o + 15*o + 22 for o. 1 Solve 2922583*n - 104 = 2922587*n - a, -4*n + 2*a - 104 = 0 for n. -26 Solve -20*d + 17*d - 27 = 48*a, 4*a + 5*d - 3*d + 102 = -0*d for a. 3 Solve 4*a + 4*c - 12*c = -7*c, 19*a - 4*c + 68 = 20*a for a. 4 Solve 5*p = -23*b - 75, 0 = -6980*p + 6977*p + 2*b + 34 for p. 8 Solve -5*b = -2*q - 160, 6*b - 4*q - 9*q + 99 = 7*b for b. 34 Solve 0 = 5*a + 5*c + 35, 201*a + c + 17 = 150*a + 48*a for a. -5 Solve -f - 832 = 828 - 1662, 248 = -6*r - 5*f for r. -43 Solve 4*v - 92 = 4*d, -4*d = -71*v + 69*v + 54 for v. 19 Solve 2*g - a + 52 = 0, 2314 - 2422 = 3*g + 6*a for g. -28 Solve 5*r = -19770*x + 19742*x - 33, -2*r = 6*x + 8 for x. -1 Solve -17*t + 231 = 2*b, 78*t + t - 29 = 2*b + 76*t for b. 5 Solve 4*h = q - 74, -12*q + 13*q - 10*h - 182 = 0 for q. 2 Solve 0 = -0*i + 3*i, -5*k + 5*k - 4*i + 24098 - 48184 = -4*k - 24106 for k. -5 Solve -i - 18*m = -13*m - 32, m + m - 6*m = -28 for i. -3 Solve -2772*c + 2775*c = -i - 11, 2*i - 8*c - 48 = 0 for i. 4 Solve -4*m + 8 = 2*x + 7 + 7, 2*x + 0*x = -m - m for x. 3 Solve 2*r = 4*o + 30, 2877 = -4*o + 8*r + 2781 for o. -2 Solve -215*p + 237*p - 323 = 5*n, 0 = 4*n + 12 for p. 14 Solve 2*c + 2 = 4*i, -5*i + 15*c + 2 = 62 for i. 3 Solve -3*q = 3*u - 0 - 6, -5*u + 169*q - 292 = 23*q for u. 0 Solve b - 15 = 3*c, 55*c + 20 = 51*c - 4*b for c. -5 Solve 0 = 5*k - 4*r - 15, 3158*k - 6314*k - 4*r - 1 = -3159*k for k. 7 Solve k - 23 = 0, 47730*t + 21*k - 503 = 47735*t for t. -4 Solve -b - 12 = 4*y, -22 = -11400*b + 11403*b + 5*y for b. -4 Solve 4*z - 30*h - 34 = -7*z - 29*h, -5*h - 117 = -2*z for z. 1 Solve -2*q - 74 = -5*z, -153 = 3*z - 10*q + 13*q for z. -4 Solve 3963*t - 3969*t - 28 - 8 = -2*a, -18 = -5*t + 2*t - 3*a for t. -3 Solve 0 = 4*n - 89*g + 93*g - 20, -11*n - g + 6*g = 25 for n. 0 Solve -4*t - 2*c - 58 = 0, -32*t + 375*c = 71*t + 380*c + 1447 for t. -14 Solve -3*f - 125*d = -124*d + 24, -24 = 3*f + 2*d for f. -8 Solve 4*j + u + 91 = 0, 3*u + u = 3*j + 76326 - 76633 for j. -3 Solve 0*a + 19 = 4*x - a, 2*x - 206 + 201 = -a for x. 4 Solve -f - 6*y - 36 = -y, 0 = -4*f - 2*y + 9471 - 9543 for f. -16 Solve -8 = 4*l - 0*l, -12*v - 76*l = 80*l + 77*l - 238*l - 130 for v. 10 Solve -5*l + 6 + 75 = 6*r, 12*l - 10*l - r + 5 = -0*r for l. 3 Solve 0 = 4*j + 629*m - 516 - 261, 0 = -4*j - m + 149 for j. 37 Solve -108*x + 230*x = -3*r + 124*x + 86, 5 = -5*x for r. 28 Solve 51*u - 59 = -z + 43*u, -4*z + 651*u - 656*u + 101 = 0 for z. 19 Solve -3*c + u + 69 = 0, 10*c - 15*c + 115 = -5*u for c. 23 Solve -7537*n + 3*y + 78 = -7536*n, -n - 3*y - y = 104 for n. 0 Solve -5*l - 188*i + 2 = -184*i, -9*i = -2*l + 22 for l. 2 Solve -2*i - 19*n + 6303 = 6350, -2*n = -4*i + 26 for i. 5 Solve 37918*f + 3*h = 37903*f + 702, 3*f - 142 = -h for f. 46 Solve 0 = i + 6*w + 109, -19597*i + 19596*i = 4*w + 71 for i. 5 Solve 3*o + m - 1 = 0, 355*o + 13 = 360*o - 4*m for o. 1 Solve 0 = s - 4*r + 120 - 112, -2 = -10*s - r for s. 0 Solve -3*h + 163 = -7*a, -638*a + 636*a = 3*h + 62 for h. -4 Solve -7*a + 2*a = -3*w + 112, -35*a + 46*a - w = -224 for a. -20 Solve 3*s + 30 = -5713*k + 5718*k, 4*s = -26*k + 28 - 166 for k. -3 Solve 3*d + 12*c + 15*c - 27 = 0, -3*c - 35 = -2*d + 66 - 20 for d. 36 Solve -1065 = -728*m + 680*m + 3*v, 0*v + 44 = 5*m - 4*v - 78 for m. 22 Solve 12 = -n + 3*m, 2*m + 212 + 11 = -40*n - 9 - 4 for n. -6 Solve -3*q - 15 = -3*y + 2*q, -y + 3834 = 4*q + 3829 for y. 5 Solve 4*d = -r - 34, 4*r + 2604*d = 2603*d - 16 for r. -2 Solve 4*s + d = s + 2*d - 14, -96*s - 32*d = -36*d - 196 for s. 3 Solve 4*v = -x - 2*x + 364, 79*x = 41*x + 37*x - 11*v + 1030 for x. -4 Solve 4*r + 0 + 96 = 4*l, -10*l = -7*r + 11*l - 196 for r. -22 Solve -z - 70 = 10*q, -131*q = -5*z - 138*q - 307 for z. -60 Solve 0 = 2*o - 28*t - 32 + 12, -3*o - o + 4*t = -2*o + 2*o + 12 for o. -4 Solve -5*z - 133*n - 328 = -140*n, -16*n + 55*n - 1716 = 0 for z. -4 Solve -46*z + 11 = -48*z + i, 2*i + 31 = 5*z + 4*i for z. 1 Solve -5*g + 128 = -z, -3*g = 4*z - 5257 + 5194 for z. -3 Solve 2*q = -f - 9, -8*f + 0*f - q - q - 72 = 0 for f. -9 Solve -35*t - 39*t + 5*q = 48*t - 123*t + 215, 0 = 3*t - q + 27 for t. 5 Solve -65 = 3*d - 22*l, d + 330*l - 164*l = 169*l for d. 15 Solve 27*d = 3*g - 10493 + 10583, 0 = -4*d - 3*g + 34 for d. 4 Solve -2*o = -a + 3, 2*a - 3*o - 6*o + 2 = -7*o for a. -5 Solve -15 = -3*c, -z + 147*c - 52*c = 44*c + 50*c for z. 5 Solve -6*h + 11*h + d = 26, 16*d - 17*d - 24 = -5*h for h. 5 Solve 2*n = -130*c + 132*c - 54, -4*n + 6*c = 156 for n. -3 Solve 0 = 4*m - 28, -17*m - 20 = -5*h - 9*m - 3*m - 75 for h. -4 Solve -2*o = 8*u + 46, 6035 = 3*u + 3*o + 6059 for u. -5 Solve 19*b + 2*y - 11 = 0, -4*b = 1062*y - 1060*y + 4 for b. 1 Solve 5*a + 49 - 50 = -4*r + r, -a - 3*r = -17 for a. -4 Solve -2*t + 0*t + 109 = 7*j, 39*j - 5*t = -33*j + 73*j - 25 for j. 15 Solve -8*o - 120 = -z, 0 = -3*z - 5*o + 399 - 164 - 176 - 134 for z. 0 Solve 4*b - 1026 = y - 902, -5*y - 10*b + 340 = 0 for y. 4 Solve -70964*m + 70975*m = 3*s + 117, 4*m - 99 = 4*s + 89 for m. -3 Solve 32*b - 34*b + 48 = -3*v, -57*b = -5*v - 241 for v. -14 Solve 48*b - 77764 = 3*h - 78103, 2*h = 2*b + 16 for h. 1 Solve 3*g + 5*u - 42 = 0, 7*g - 4133 + 4190 = 9*g + 3*g + 4*u for g. 9 Solve 5*o - 173 = 66*v, 6*v = v - 7*o + 6*o - 3*o - 35 for v. -3 Solve 7*x + 13217 = 4*r + 13295, 4*x + 1623 = -183*r for x. 6 Solve 9*w = 10*u - w + 32 + 48, 3*u + 2*w + 4 = 0 for u. -4 Solve 4*o - 2*s = 6, -4*o - 5916*s = -5919*s - 11 for o. -1 Solve 269488*c + 348 = 269487*c - 5*j, 2*j + 154 = 7*c for c. 2 Solve -678*w = 672*w - 1347*w + a - 125, 3*a - a + 524 = 12*w for w. 43 Solve 2*n - 7*b + 5*b + 26 = 3*n + 4*n, 3*n = 2*n + 87*b - 257 for n. 4 Solve 0 = 4*h - 170*y + 167*y - 128, 5*y = -3*h - 165 for h. 5 Solve 0 = p + 17, -4388*p + 4389*p + 9 = 2*i - 6 for i. -1 Solve b + 16*x + 172 = 2*b, 303*x = -5*b + 304*x - 9 for b. -4 Solve -p + 4*r + 8 - 29 = 57, -4*p + r + 42*r = 825 for p. -2 Solve 374 = -5*v - 364 + 718, f + 5*v = -27 for f. -7 Solve -4*r + 320*x + 82 = 345*x, -3*x = -
{ "pile_set_name": "DM Mathematics" }
t w = -8 - -8. Suppose w = 4*q - 8 - 12. Suppose 0 = -4*m - 5*c + 272, q*c - c - 205 = -3*m. What are the prime factors of m? 3, 7 Suppose q - 2786 = -u, 8*q - 11176 = -4*u + 12*q. What are the prime factors of u? 2, 3, 5, 31 Suppose 0 = 14*z + 3*z - 15164. What are the prime factors of z? 2, 223 Let f(c) = -281*c - 1177. What are the prime factors of f(-18)? 3881 Suppose -2*p + 5*p = -12, 2*p - 2477 = -5*i. List the prime factors of i. 7, 71 Let n(w) = w**3 - 10*w**2 + 9*w + 9. Let y be n(9). Suppose -6*g - 326 = -y*g - 2*z, -555 = -5*g - z. What are the prime factors of g? 2, 7 Suppose 5*q = 4*s - 208, s + 5*q - 156 = -2*s. Let r be 4 + (-4)/4 - 1. Suppose 24 = r*f - s. What are the prime factors of f? 2, 19 Let p be 2/(-9) + 228/54. Let f(v) = v**3 - 3*v**2 - 4*v - 2. Let o be f(p). List the prime factors of 0 + o + 1 + 34. 3, 11 Let j(t) = -2*t - 4. Let v be (-1 + 4)*-1 - 0. List the prime factors of j(v). 2 Let v = 8 - 11. Let m be (-148)/8*(v + 1). Suppose -n = -j - 4 - m, -n + 45 = j. What are the prime factors of n? 43 Let l(p) = -p**2 - 11*p + 11. Let j(w) = -16*w - 2. Let n be j(-1). Suppose 0 = -2*s - 4 - n. What are the prime factors of l(s)? 29 Suppose -3*p - 3*z + 4065 = 0, 12*z - 9*z = -9. List the prime factors of p. 2, 7, 97 Suppose 5*h + 795 = 5*c, 3*h - 254 + 894 = 4*c. Suppose 83*i = 84*i - c. What are the prime factors of i? 163 Let g(f) = 26 + 0*f**2 - f + f**2 + 42 - 9. What are the prime factors of g(0)? 59 What are the prime factors of (-732)/(-61)*1*183? 2, 3, 61 Let x = 307 - 182. Suppose u = -m + 47, -8 - x = -3*u + 5*m. Suppose -u = -g + 10. What are the prime factors of g? 2, 7 Let b be (-4)/(-14) - 104/(-28). Suppose b*u + 13 = -31. List the prime factors of u*1/2*-10. 5, 11 Suppose -2*s - 44 = 2*s. Let l(p) = 2*p**2 + 14*p - 21. List the prime factors of l(s). 67 Suppose -w + 17 = -33. Suppose y - w = -15. List the prime factors of y. 5, 7 Let u be 3*7/(42/8). Suppose -2*p - 192 = -u*b, -3*p + 45 = b + 11. List the prime factors of b. 2, 23 Suppose 0 = v + 4, -508 = -3*n + v - 210. List the prime factors of n. 2, 7 Let x(m) = -m**3 - 2*m**2 - 5*m + 3. Let t be x(-4). List the prime factors of t + 4 + 0 - 1. 2, 29 Suppose 4*r = 5*h - 198, 2*h + r - 36 = h. Suppose -148 = -5*x - h. Suppose x = 2*b - 14. List the prime factors of b. 2, 3 Let d(v) = -258*v + 14. List the prime factors of d(-1). 2, 17 Suppose -4*c + 3 = 27. Let h be (5 + c)/(1/(-23)). Let o = 6 + h. What are the prime factors of o? 29 Let c(x) = x**3 - 12*x**2 - 3*x + 12. Let n be c(9). Let d = -152 - n. List the prime factors of d. 2, 53 Let b(k) = 3*k - 89. Let f be b(30). Suppose h = f + 4, -4*a + 342 = 2*h. What are the prime factors of a? 83 Suppose 2110 = 5*d + 2*q - 740, -25 = 5*q. What are the prime factors of d? 2, 11, 13 Let n(o) = -7*o**2 - 6*o - 2. Let q be n(-4). Let k = q - 236. List the prime factors of k/(-12) + 3/(-18). 3 Let p be 1 + 3 - (-2 + -4 + 6). Suppose 458 + 46 = p*d. What are the prime factors of d? 2, 3, 7 Let p(j) = 2*j**2 + 9*j + 12. Suppose -f + 45 = -6*f. List the prime factors of p(f). 3, 31 Suppose 0 = 4*y - 52 + 16. What are the prime factors of 95 - y/((-18)/8)? 3, 11 Let y = 76 - 56. Suppose 0 = -3*f + 13 + y. What are the prime factors of f? 11 Suppose -5*u - 2*p = -3*u - 12, 3*u = -p + 12. List the prime factors of 82 + (0 - u - -3). 2, 41 Let a be (1 + 1 + -1)/1. Let c(t) be the second derivative of 17*t**4/12 + t**3/6 + t. What are the prime factors of c(a)? 2, 3 Suppose -6*a - 8 = -8*a. List the prime factors of (3655/(-9))/(-5) + a/(-18). 3 Let h(m) = -7*m**2 - 2*m. Let p be h(-2). Let b = p + 22. What are the prime factors of ((-21)/(-9))/(b/(-18))? 3, 7 Suppose -18*w + 12246 + 4746 = 0. What are the prime factors of w? 2, 59 Let r = -7 + 14. Let b = r - -1. Let t = b + -5. What are the prime factors of t? 3 Suppose -3 = -15*a + 14*a. Suppose -2*c + a*c = 101. List the prime factors of c. 101 Let z be 4 - 1/((-4)/(-16)). Suppose -5*w - 16 - 29 = z. Let o = w + 14. What are the prime factors of o? 5 Suppose 2*a - 3*u - 644 = 0, 0 = -3*a - 3*u - u + 966. Suppose -a = -5*k - 4*v + 3*v, 0 = 5*k + 5*v - 330. What are the prime factors of k? 2 Let w be -3 + 1 + (-242)/(-1). Suppose o + 4*o + w = 0. Let d = -7 - o. What are the prime factors of d? 41 Let g(p) = -4*p + 9. Let x be g(3). What are the prime factors of (-36)/(-15)*(-10)/x? 2 Let n be (12/(-8))/(4/(-8)). Let z(s) = 4*s - 2. Let j be z(11). Suppose 111 = n*i - j. What are the prime factors of i? 3, 17 Let y = 196 - -254. Suppose 0 = -3*l - 6*l + y. List the prime factors of l. 2, 5 Let c(s) = -5*s + 4. Suppose 6*y - 8 = 4*y. Let v be c(y). Let m = -8 - v. List the prime factors of m. 2 Let q(r) = 10*r**2 - r + 1. Let n be q(-2). Suppose 4*j - 193 = n. List the prime factors of j. 59 Suppose -11 = -3*n - n + 3*k, -25 = 5*k. Let i be 2 - 8 - (n + -1). List the prime factors of 5 - 3 - 0 - i. 2, 3 Suppose -y = k - 1728, 2*y + 1891 = -4*k + 8793. List the prime factors of k. 1723 Let m be -2 - (-4 + -6 + 4). Suppose 2 = -5*w - m*p, 4*w + 3*p + 1 + 0 = 0. Suppose 12 = -w*x + 4*i, -3*x - 2*i + i = -10. List the prime factors of x. 2 Suppose 2*o + 2*h - 1374 = 6*h, 5*h = 3*o - 2066. Let u = o + -486. What are the prime factors of u? 211 Suppose 8*k - 2125 = 987. List the prime factors of k. 389 Let g = -2 + 6. Suppose g*o = -o + 280. Suppose -7*u + 3*u - 33 = -t, 2*t = 3*u + o. What are the prime factors of t? 5 Let c(z) = 370*z**2 - 9*z + 22. List the prime factors of c(3). 5, 7, 19 Suppose 0 = -4*t + 529 + 247. List the prime factors of t. 2, 97 Let v be (0/(-8))/((-4)/(-2 - 0)). Suppose d - 316 = -3*o, v = 4*o + o + 25. What are the prime factors of d? 331 Let s = 64 - -67. What are the prime factors of s? 131 Let x be 4/8 - (-3)/(-6). Let m(k) = -k**3 - 2*k + 287. What are the prime factors of m(x)? 7, 41 Suppose 0 = -2*q + 50 + 6. Let a be 6/21 - (-2848)/q. Let u = a - 67. List the prime factors of u. 5, 7 Suppose -3*d - v = -88, 4*d + 5*v - 119 = 2*v. Let q = -24 + d. Suppose 0 = -2*w - 4*l + 46, -3*w + q*l - 8 = -4*w. What are the prime factors of w? 3, 11 Suppose -4*j + 5*k = 12 + 9, -5*k + 1 = j. Let q(z) = -4*z**2 + z + 5. Let h(x) = -5*x**2 + 5. Let a(t) = 5*h(t) - 6*q(t). List the prime factors of a(j). 3 Let o(r) = r**3 + 4*r**2 + 3*r - 3. What are the prime factors of o(4)? 137 Let v = -193 + 68. Let z = -70 - v. List the prime factors of z. 5, 11 Let q(r) = 24*r**2 - 10*r + 34. What are the prime factors of q(5)? 2, 73 Let o(n) = -14*n**3 + n. Let z be o(-1). Suppose 43*w - 41*w = 4. Suppose -w*k - z = -3*k. List the prime factors of k. 13 Let h(v) = -v**3 + 2*v**2 - 6*v + 10. What are the prime factors of h(-8)? 2, 349 Suppose 3*n + 2*n = 15. Suppose -3*h = 0, 0 = 2*a + 3*h - n + 11. List the prime factors of (-90)/(-20) + 6/a. 3 Suppose -32 = -5*p + 48. Suppose 14*f - p*f + 46 = 0. List the prime factors of f. 23 Let p = 9 + 70. Let i = 141 - p. List the prime factors of i. 2, 31 Let c(t) = -221 - t + 53 + 55 + 58 + 61. Let j = 4 - 1. List the prime factors of c(j). 3 Suppose 0 = 1945*h - 1956*h + 34210. What are the prime factors of h? 2, 5, 311 Let q(u) = u**2 + 6*u - 16. Let z be q(-6). What are the prime factors of 18/((-20)/(-10) - z/(-9))? 3 Suppose 0 = 4*g + 5*h - 876, 0*g - 3*g + h = -676. What are the prime factors of g? 2, 7 Suppose -4*s + 20 = 0, -4*s - 217 = -2*q - q. Suppose 2*u + 1 - q = 0. Let l = 77 - u. What are the prime factors of l? 2, 19 Let n be 2/(-8) + (-309)/(-4). Let w = 238 - n. What are the prime factors of w? 7, 23 Let g be -1*2 - 6/(-3). Suppose g = 4*u + u. Suppose u*v + 105 = 5*v. What are the prime factors of v? 3, 7 What are the prime factors of ((-8)/6)/(5120/(-2556) - -2)? 2, 3, 71 Let f = -480 + 708. What are the prime factors of (f/(-8))/(1/(-2))? 3, 19 Let y(n) = -n**2 - 3*n - 5. Let d be y(-5). Let b(k) = -k**3 - 4*k**2 - 2*k + 1. Let w be b(-4). Let j = w - d. List the prime factors of j. 2, 3 Let t(c) = c**3 - 12*c**2 + 15*c - 35. What are the prime factors of t(14)? 3, 7 What are the prime factors of 70/(-14) + 256 + -1? 2, 5 Let h(j) = -j**2 - 5*j - 2. Let c be 1*(0 + -1) + -1. Let b be h(c). List the prime factors of (20*b - 2)/1. 2, 3, 13 Let j be (-1)/(2 - 122/62). Let p be 4904/104 - 4/26. L
{ "pile_set_name": "DM Mathematics" }
the nearest 100? 3100 Let m = 37420 - 37424.3716. Round m to 1 dp. -4.4 Let z = -0.95 + -55.05. Let s = -2207922165 + 2207922108.99999995. Let i = s - z. Round i to six decimal places. 0 Let m be 133/(-6) - (-3)/18. Let g = 81 + m. Suppose g = -2*x - 697. Round x to the nearest 100. -400 Let q = 2372 - 2372.000001394. Round q to 6 decimal places. -0.000001 Let s = 0.868 + 375.132. Let j = s + -607. Let w = 206.8 + j. Round w to zero dps. -24 Suppose 3*f - 5*s - 51 = 38, 0 = -5*f + 4*s + 144. Suppose -721406039 = f*d + 34593961. What is d rounded to the nearest 1000000? -27000000 Let g = -81061928639311912 - -81061927068727507.44999517. Let u = g + 1570585063.55. Let f = -659 + u. Round f to six decimal places. -0.000005 Let b = 7038526040 + -7038526049.500000129. Let q = -9.5 - b. What is q rounded to 7 dps? 0.0000001 Let m = 258 + -309. Let r = 1395261203 - 1395261152.00000024. Let a = r + m. Round a to seven dps. -0.0000002 Let t = -663.7 + 663.6982329. Round t to 5 dps. -0.00177 Let l = -3470 + 3469.996132. Round l to 4 dps. -0.0039 Let p = 0.5 + 10.5. Let w = -11.05 + p. Let x = w + 0.050101. Round x to 4 decimal places. 0.0001 Let w = 4 - 0. Let r(n) = -n**2 - 14*n - 46. Let h be r(-7). Suppose w*o - 34492 = -5*z, -z - h*o = -6250 - 644. What is z rounded to the nearest one thousand? 7000 Suppose l + d = -21157 - 17285, 4*l - d = -153808. What is l rounded to the nearest ten thousand? -40000 Let p = -16864 + 13481. What is p rounded to the nearest one hundred? -3400 Let g = -12339 - -12338.977898. Round g to 3 dps. -0.022 Let p = 7859 + -7859.09562. Let z = p + 0.106. What is z rounded to three decimal places? 0.01 Let c(n) = -22*n - 132. Let a be c(-6). Suppose 2*z + 4*v - 19619988 = a, 5*v = -2*z + 2*v + 19619991. What is z rounded to the nearest 1000000? 10000000 Let d(g) = -g**2 + 3*g**2 - 13*g - 3*g**2 - 1. Let x be d(-13). Let a be (-94200000)/4*(x - 3 - -2). What is a rounded to the nearest 1000000? 47000000 Let g = 77.94908 - 0.00908. Let f = g - 75. Let u = f + 2.4. What is u rounded to one decimal place? 5.3 Let i = -3182186 + 1792186. Round i to the nearest 1000000. -1000000 Let n = 0.02415 + -0.024157496. Round n to seven dps. -0.0000075 Suppose 0*o = 3*p + 4*o - 31, -23 = -3*p + 4*o. Let u be (p + -9)*1/2 + -4099. Let g = 1099 + u. What is g rounded to the nearest one thousand? -3000 Let d = -1251 - -1251.00274. Round d to three decimal places. 0.003 Let f = -781762 - -1779362. Suppose -h = 28*h + f. What is h rounded to the nearest 1000? -34000 Let r = -1.041 - -480.041. Let t = 140 - r. Let x = 366.6 + t. Round x to 0 decimal places. 28 Let p be -1 + 30355*-431 - -4*(-12)/(-8). Round p to the nearest one million. -13000000 Suppose -13*f - 15 + 2 = 0. Let g be (f - -2) + 612069 + 14. Let s = 430084 - g. Round s to the nearest one hundred thousand. -200000 Let n = -18 + 15.785. Let o = -0.015 - n. Let q = o + -2.199836. Round q to 4 decimal places. 0.0002 Let f = -10159678 + -3279322. What is f rounded to the nearest one hundred thousand? -13400000 Let v = 1056.2501 + -1055.7. Round v to 2 dps. 0.55 Let h(g) = 2*g + 50*g + 74*g - 7*g - 43. Let a = 255 + -250. Let v be h(a). Round v to the nearest 10. 550 Let q = 631.1 + -688.695. What is q rounded to the nearest ten? -60 Let a = 1194.1 - 201.1. Let h = a - 992.999439. What is h rounded to four decimal places? 0.0006 Let r = 2582826 - 4510826. What is r rounded to the nearest ten thousand? -1930000 Let l = 346.474 + -0.474. Let o = -346.00356 + l. Round o to 3 decimal places. -0.004 Let i = 1541.28 - 1509. Let q = i - -0.72. Let f = -32.99999376 + q. What is f rounded to 6 dps? 0.000006 Let i = -634 - -384. Let z = 249.99786 + i. What is z rounded to 4 dps? -0.0021 Let s = 8840 + -4320. Let v = s - 4519.99996253. What is v rounded to six dps? 0.000037 Let d be (459006/(-4))/3 - (-3440)/6880. Round d to the nearest one thousand. -38000 Let n be (-18)/(-27)*(-174)/(-4). Let v = n + -26. Let b be v/(-3) + (-2 - -2573). What is b rounded to the nearest one hundred? 2600 Let a = -277.31 - 6.69. Let b = -283.99999668 - a. Round b to 7 decimal places. 0.0000033 Suppose -3*v = -5*x - 8225, -8*v - 4*x - 5482 = -10*v. What is v rounded to the nearest one thousand? 3000 Let c = 102357574 - 14225784. Let j = c - 88131789.00999427. Let m = j - 0.99. What is m rounded to seven decimal places? 0.0000057 Let t = 56 + -55.908. Let v = 2040 - 2045.332. Let s = v + t. Round s to 1 decimal place. -5.2 Let x = 5.101 - 6.687. Round x to 2 decimal places. -1.59 Let w = 50830 - 50931.898. What is w rounded to the nearest 10? -100 Suppose 2*n - 58 = 2*h, -5*h + 1 + 4 = n. Suppose n*x - 30*x = 1365000. What is x rounded to the nearest 10000? -270000 Let r = -364.3 - -352.156. What is r rounded to one dp? -12.1 Let f = 79 - 75. Suppose -f*w + 5*m + 49 = 0, -w = 3*w - 3*m - 39. Suppose -w*h = -68512 - 27488. Round h to the nearest one thousand. 16000 Let f(m) = 58*m**3 - 9*m - 8 + 55*m**3 - 112*m**3. Let n be f(-8). What is n rounded to the nearest 10? -450 Let o = 991870 - 991874.10043. Let v = 5.9 + -10. Let w = o - v. What is w rounded to four dps? -0.0004 Let n = 99.039 + -99. Let y = 4980.03891 + -4980. Let x = y - n. What is x rounded to four decimal places? -0.0001 Let b be (3/(-9))/(20/(-240)). Let j = 14727 - 2400. Suppose -b*f - j = -2927. What is f rounded to the nearest 1000? -2000 Let h be (4 + -3)/(2 - (-20)/(-8)). Let p be h - (-1 + 13380006/(-6)). What is p rounded to the nearest one million? 2000000 Let o = -1.1511 - -1.24487. What is o rounded to two decimal places? 0.09 Let w = 0.025 + -63.025. Let v = -62.977 - w. Let n = -0.513 + v. Round n to one dp. -0.5 Suppose 2*f = -117*t + 115*t + 749464, 1124202 = 3*f + 6*t. What is f rounded to the nearest 1000? 375000 Let t = 0.149 + -75.149. Let z = -75.155 - t. Let w = 0.006 + z. What is w rounded to 2 decimal places? -0.15 Let w = -0.29386 - -3341.99386. What is w rounded to the nearest ten? 3340 Let f = 27803.94 - 28049. Round f to 0 dps. -245 Let f(j) = -3*j**2 + 18*j**2 - 77*j + 97*j + 7 + 9 + 2*j**3. Let g be f(-9). Round g to the nearest 100. -400 Let m = 236 + -235.9702. Let g = m + -0.030297. Round g to four decimal places. -0.0005 Let s = 61 - 59. Suppose 0 = s*r - m - 8, -5*m + 2 = 4*r - 0*m. Suppose r*k + 652 = 7*k. Round k to the nearest one hundred. 200 Let u = 0.70021 - 7.58311. Round u to 2 dps. -6.88 Suppose -8*k - 14 = -15*k. Suppose -2*a - 3004 = k*d, -3*a - 4498 = 3*d - 4*a. Round d to the nearest ten thousand. 0 Let r = 16.4 - 21.32. Let v = -4.33 - r. Round v to 0 decimal places. 1 Let t = 46624 - -629376. What is t rounded to the nearest ten thousand? 680000 Let f = -5371 - -5218.05. Round f to the nearest ten. -150 Let l = -17.95 - -32.95. Let n = 0.23 + -4.83. Let t = l + n. What is t rounded to the nearest integer? 10 Let l = -0.039 + 231.039. Let q = 231.00000712 - l. What is q rounded to seven dps? 0.0000071 Let q = -553899.99999936 + 553830. Let o = q - -70. What is o rounded to seven decimal places? 0.0000006 Let g(m) = 325*m**3 - m**2 + 4. Let d(t) = -t**3 - 1. Let p be d(2). Let h(o) = 2*o + 20. Let u be h(p). Let s be g(u). Round s to the nearest one thousand. 3000 Let n = 6269.0000003986 + -6269. What is n rounded to seven decimal places? 0.0000004 Let i be (-30648906)/(-4) - (9/(-6))/(-3). Let d = -3402226 + i. What is d rounded to the nearest 100000? 4300000 Suppose -2*j + 5*l - 61 = 0, l + l = 10. Let u be 1220394/j + 1/(-3). What is u rounded to the nearest one thousand? -68000 Let w = -6.04 - -6.039995367. Round w to 7 decimal places. -0.0000046 Let o = -8.116 - -10. Let w = o + -0.9. What is w rounded to 1 decimal place? 1 Let w = -1451456.0718 - -1451279. Let p = w - -20.0635. Let d = -157 - p. Round d to 3 decimal places. 0.008 Suppose -12*d + 73 = 25. Suppose x - 31081 = d*c, -2*x + 3 = x. Round c to the nearest one thousand. -8000 Let m(t) = t**2 + 24. Let r be m(9). Let x = r + 144. Let s = x - 172. What is s rounded to the nearest 10? 80 Let g = -571 + 571.0841. Let q = g + -50.2841. Round q to the nearest 10. -50 Let v = 25318 - 25494.04. Round v to the nearest ten. -180 Let k = 71529659 - 71530475.00573. Let s = k + 816. What is s rounded to 3 decimal places? -0.006 Let b = -63556 + 9315
{ "pile_set_name": "DM Mathematics" }
et o(x) be the second derivative of x**3/6 + 5*x**2/2 + 4*x. Give o(0). 5 Let b be (2/(-6) - 0)*-3. Let z be 160/50 - 1/5. Let y(j) = -5*j + 5*j + 1 + 4*j**z + 3*j - 5*j. Give y(b). 3 Let k(f) = 9*f + 3. Let h(n) = 2*n. Let u(x) = -4*h(x) + k(x). Calculate u(5). 8 Let t(b) = b**2 + 7*b + 8. Suppose 3*d = -0*d - 66. Let s be d/4 + (-7)/14. Determine t(s). 2 Suppose 1 = -3*z - 5*g, 0 = 4*z + 3*g - 0*g - 6. Let a(b) = -4*b**2 - 2*b + z*b**2 + 2*b**2. What is a(2)? 0 Suppose 4*y - 7 = 2*o + 13, 0 = 3*y + 5*o - 41. Let g(i) = -3*i**2 + 31*i - 15. Let n(c) = -c**2 + 10*c - 5. Let z(p) = 2*g(p) - 7*n(p). Determine z(y). -2 Let c(h) be the first derivative of h**5/30 + h**4/12 - 2*h**3/3 + 3*h**2/2 + 6. Let k(w) be the second derivative of c(w). Let o = -9 + 6. Determine k(o). 8 Let u(n) be the second derivative of n**5/20 - n**4/12 - n**3/6 - n**2/2 + 8*n. Determine u(-2). -11 Let u(d) be the second derivative of -d**3/6 - 3*d**2/2 - 7*d. Give u(4). -7 Let i be ((0 - 0) + 0)/2. Let j(z) = z**2 + 5*z - 4*z - 2 - 2. What is j(i)? -4 Let h be 2/(-3)*-3*3. Suppose -q + 10 = -b - 0*q, -4 = -2*b - 4*q. Let d = b + h. Let l(a) = -a + 3. What is l(d)? 3 Let t be 19/(-4) - (-3)/(-12). Let g(h) = 7*h**2 + 10*h + 1. Let f(i) = 6*i**2 + 9*i. Let y(k) = 6*f(k) - 5*g(k). Calculate y(t). 0 Let b(c) = 11*c**2. Let h(n) = 45*n**2. Let j(g) = 25*b(g) - 6*h(g). Give j(-1). 5 Let n(b) = b + 1. Let l be 136/(-20) + 1/(-5). Let g = l + 11. Determine n(g). 5 Let s(b) = 4*b - 8. Let x(d) = -5*d + 8. Let z = -2 + -1. Let q(v) = z*x(v) - 4*s(v). Let k(i) = 5*i**2 - 65*i. Let p be k(13). What is q(p)? 8 Let o(t) = -t**3 + t**2 + t - 1. Let m(h) = h + 3. Let n be m(0). Suppose n*c + 9 = 0, q - 5*c = -4*q + 25. What is o(q)? -3 Let w(c) be the second derivative of -c**3/6 - c**2/2 + 7*c. Give w(3). -4 Let w = 161 - 167. Let i(g) = g**2 + 7*g - 2. Calculate i(w). -8 Let c = -19 + 22. Let k(n) be the third derivative of 0 + 1/2*n**c + 2*n**2 + 1/8*n**4 - 1/60*n**5 + 0*n. Calculate k(4). -1 Let i(m) = -m + 1. Let l be -1*(0 - -1 - 1). Let p be 0 + 3 + 12/(-4). Suppose -3*g + 4*x - 5 = p, l = -4*x - 2 - 2. What is i(g)? 4 Suppose -2*r = -5*b + 2 - 1, -r - 2*b - 5 = 0. Let v(f) = -6*f - 2. What is v(r)? 16 Let o(v) = -7 + 3 + 4*v - 6. Let s(u) = -8 - 3*u + 1 + 14. Let n(x) = -5*o(x) - 7*s(x). Determine n(-4). -3 Let i(k) be the second derivative of k**4/12 - k**3/2 - 3*k**2/2 - 2*k. Let w = 3 + 0. Let t be i(w). Let f(a) = -a**2 + 2*a + 4. Give f(t). -11 Let d(a) = -a**2 - 8*a - 2. Suppose 0 = -y - 4*y - 35. Give d(y). 5 Let y(i) = 11*i**3 + 18*i**2 - 11*i - 20. Let m(f) = -7*f**3 - 12*f**2 + 7*f + 13. Let z(s) = -8*m(s) - 5*y(s). Let p = 11 - 17. Determine z(p). 2 Let n(h) = h**3 - h**2 + h + 8. Let p = 2 - -2. Let a = 5 - 3. Suppose -2*u - r = -a*r - p, -4 = 4*u + r. Give n(u). 8 Let u(g) be the first derivative of -5*g**3/3 - g - 1. Let y(w) = w**3 - 5*w**2 - 4*w - 11. Let a be y(6). Determine u(a). -6 Let o(j) = -8*j - 1. Suppose -5 + 6 = -k. Give o(k). 7 Let c be (-3)/4 - 153/36. Let i(j) = -j**2 - 4*j. Give i(c). -5 Let v(r) = 8*r + 4*r**2 - 6*r + 5 + 0*r**3 + r**3 + 1. Let h(a) = -4*a**2 - a + 1. Let n be h(1). Let m be n/((4 - 2) + -1). Calculate v(m). -2 Let h = 9 + -7. Let t = 1 + -1. Let g(q) = -3*q**2 + 4 + 2*q**3 + q - 5 + t*q**2. Determine g(h). 5 Let b(a) = -3*a**2 + 9*a. Let c(q) = -7*q**2 + 19*q + 1. Let t(w) = 5*b(w) - 2*c(w). Let j be 4*6*3/12. Determine t(j). 4 Let p(a) = 5*a + 1. Let k be (-33)/22*(-10)/(-3). Give p(k). -24 Let r(p) = -4*p - 9*p**2 + 1 + 12*p**2 + 2*p. Give r(2). 9 Let a = 3 + 1. Let h(d) = d**3 - 4*d + a*d**2 + 2 - 2*d**2 + d**2. Suppose -2*l = 4*g + 24, 0 = -4*g + 3*l - 0 - 4. Determine h(g). 2 Let t(a) = a + 6. Let g = -14 - -20. Let j = g - 6. Determine t(j). 6 Let q(n) be the third derivative of n**5/60 + n**4/24 + n**3/6 + 6*n**2. Let k(w) be the first derivative of q(w). What is k(-3)? -5 Suppose -7 = -p - 5. Suppose 0 = -3*m + 11 - p. Let i(z) = -1 - 2 + 1 + 2*z. Determine i(m). 4 Let d(u) = u**2 - 9*u + 10. Let w be d(8). Let y = 10 + -6. Suppose -y = l - w. Let s(p) = p**3 + 2*p**2 + 4*p + 3. Determine s(l). -5 Let t(y) = y**2 + 7*y + 5. Let b be t(-5). Let r(k) = 4*k - 1. Let x be r(1). Let i(q) = q**2 + x - 1 + 0*q**2 + 4 + 5*q. What is i(b)? 6 Suppose 0 = -3*c - 2 - 1. Let g(z) = 2 + 3 - 4. Let d(w) = 2*w - 3. Let q(f) = c*d(f) - 2*g(f). Determine q(-1). 3 Let w(c) = c**2 + 5*c - 3. Let t(s) = s**2 + 7*s + 4. Let f be t(-5). Give w(f). 3 Suppose -3*w = -8*w + 40. Let a(z) = z**3 + z**2 + 4. Let g be a(0). Let t(m) = -g*m + 4*m - m + w + m**2. What is t(0)? 8 Let h = 47 + -50. Let s(j) = -j**2 - 3*j + 2. What is s(h)? 2 Let l(w) be the second derivative of 3/20*w**5 + 1/2*w**2 + 0*w**3 + 0 + 0*w**4 + 2*w. Let y(r) = r**3 + 9*r**2 - 9*r + 11. Let v be y(-10). Determine l(v). 4 Suppose -6 = z - 2*z. Let v = z - 1. Let t(h) = -h**3 + 4*h**2 + 3*h + 7. Determine t(v). -3 Let d = -12 + 8. Suppose 2*b - 5*b + 12 = 0. Let y(j) = 4 - b - 6*j - 6 - j**2. Calculate y(d). 2 Let k(g) be the first derivative of -7*g**2/2 + g + 9. Calculate k(1). -6 Let h(n) = 5 + 3*n - 4 - 4*n - n. Determine h(-6). 13 Let i(l) = -l**2 - 2*l + 4. Let q be i(4). Let m = -16 - q. Let y(c) be the second derivative of c**4/12 - 2*c**3/3 - 2*c**2 + c. Determine y(m). -4 Suppose -5*i - 6 = 3*s - 0*i, -15 = 3*s + 2*i. Let q(x) = x**3 + 8*x**2 + 8*x + 2. Calculate q(s). -5 Let q(w) be the second derivative of w**4/12 + 3*w**3/2 + 5*w**2/2 + 3*w. Determine q(-5). -15 Let s(m) = -m**3 + 6*m**2 + m - 4. Let d be s(6). Let x = d + -6. Let q(k) = k**3 + 3*k**2 - 5*k - 3. Calculate q(x). 1 Let t(w) be the second derivative of -w**5/20 + 5*w**4/12 + w**3/3 - 5*w**2/2 + w. Suppose 3*r + 0*p - 17 = p, 0 = 2*r + 4*p - 2. Give t(r). 5 Let g(m) = 4*m**3 + m + 1. Let f = -3 + 1. Let o = 1 + f. Determine g(o). -4 Let z(o) = -10*o**2 - 16*o. Let y(b) = 7*b**2 + 11*b. Let t(x) = 7*y(x) + 5*z(x). Let w(s) = -s. Suppose 0 = 4*c - 7 - 9. Let g be w(c). What is t(g)? -4 Let k(o) = -o**2 - 3*o + 4. Let g be k(-6). Let v = g - -10. Let c(l) be the second derivative of -l**3/3 - l**2/2 - l. Give c(v). 7 Let k(i) = i**3 + 4*i**2 - 2*i + 6. Let h = 7 - 12. What is k(h)? -9 Let y be (6 - 2)*(-27)/12. Let k = -7 - y. Let j(h) = 6 - 4 - k + h**3 + 3*h**2 - 4*h. What is j(-4)? 0 Let d(a) = -7 + a**2 - 2*a + 0*a**2 - 3*a. Let u be d(6). Let o(z) = -8*z**3 - 2*z**2 - z. What is o(u)? 7 Let d(w) = -w**2 - 4*w - 6. Suppose 5*m = 5*q + 10, 2 = -3*q + 2*m + 2*m. Give d(q). -18 Let g(d) = 4*d - 5 + 5*d**2 - 2*d - 1 - 1. Let z(b) = -9*b**2 - 5*b + 14. Let s(w) = -11*g(w) - 6*z(w). What is s(5)? 8 Let l(k) = k**3 - 6*k**2 - 4*k - 7. Let j be 1/((3/7)/3). Give l(j). 14 Let o(p) = -p**2 + 1. Let l(t) = t + 8. Let m = 16 - 23. Let r be l(m). Let h(k) = -k**2 + 1. Let v be h(r). What is o(v)? 1 Let n(t) = t + 8. Let j(o) = o**3 - 16*o**2 + 37*o + 17. Let l be j(13). What is n(l)? -1 Let g(h) = 9*h**2 - 9*h**2 - 11*h + h**2 - 12. Determine g(12). 0 Let k(v) = v**3 + 2*v**2 + v. Let w be 1/2 - (-10)/(-4). Give k(w). -2 Let o be ((-5)/10)/((-3)/12). Let f(w) = w**3 + 2*w**2 - 4*w + 3. Determine f(o). 11 Let w(b) = -b**2 + 4*b - 5. Let a(g) = -g**2 + 4*g - 4. Let h(k) = 4*a(k) - 3*w(k). Suppose -d + 6 + 5 = 0. Let n = 16 - d. Calculate h(n). -6 Let l = 2 + 0. Let s be (l + -2)/((-4)/2). Suppose -2*q = 4*j + 18 - 4, s = 5*q + 4*j + 29. Let r(w) = -w**2 - 4*w - 1. Determine r(q). -6 Suppose 4*a + 3*h - 29 = 0, 4*a - 5*h + 2*h = 59. Let m(v) = v - 13. Determine m(a). -2 Let j(s) = 4*s. Let d(m) = -7*m. Let a(u) = 3*d(u) + 5*j(u). Give a(1). -1 Let w(b) = 4*b - 2. Let m(j) = 4*j - 1. Let v(x) = 3*m(x) - 2*w(x). Determine v(2). 9 Let y(s) = s. Let w(b) = 12*b**2 + b - 1. Let k be w(1). Suppose 6*z - 9*z + k = 0. Calculate y(z). 4 Let n(b) = -4*b**3 + 2*b**2 - 1. Suppose 8 + 2 = 2*k. Let r = 4 + 2. Suppose 0 = w - r*w - k. Give n(w). 5 Let w(v) = 11*v**2. Suppose -9 = 4*u - 21, -4*b = -2*u + 10. Give w(b). 11 Let l(y) = y**2 + y + 3. Let c be l(0). Suppose c*g - 24 = -g. Suppose 3*o - g*o - 12 = 0. Let r(j) = j**3 + 4*j**2 - j - 4. Calculate r(o). 0 Let c(r) = r**2 - 7*r. Let w = 21 - 15. Determine c(w). -6 Let d(u) be the third derivative of u**7/840 - u**6/60 - 3*u**5/40 + 3*u**4/8 + u**3/6 - 3*u**2. Let c(t) be the
{ "pile_set_name": "DM Mathematics" }
/126*j**7. Factor g(r). (r + 1)**3*(r + 3)**2/3 Let q(i) = -33*i - 31. Let k be q(-1). Let x(a) be the first derivative of -1 + 0*a**3 + 0*a**k - 1/10*a**4 + 0*a. Factor x(c). -2*c**3/5 Let y = -104 + 7. Let z = y - -97. Factor z + 2/9*f**3 - 2/9*f**2 + 0*f. 2*f**2*(f - 1)/9 Let s(y) = y**2 - 3*y - 2. Let o be s(-3). Let f(a) = a**2 - 17*a + 22. Let m be f(o). What is p in p + 3*p - p**2 - 3*p - 5*p**4 - p**3 + m*p**4 = 0? -1, 0, 1 Suppose 3*l = -f - 6, -6*f + f - 4 = 2*l. Let w = f + 2. Suppose 12*s**2 + 0*s**2 - 4*s**4 - 2*s**5 - 4*s**w + 8*s - 6*s**3 + 4*s**5 = 0. Calculate s. -1, 0, 2 What is h in -104*h**2 + 107*h + 100*h**3 - 16*h**4 + 109*h - 196*h = 0? 0, 1/4, 1, 5 Let t(b) = -b**2 - 13*b + 16. Let v be t(-14). Determine z, given that 5*z**v - 6*z**2 - 16*z**2 + 413 - 80*z - 477 - z**3 = 0. -8, -1 Let p be (2 - 4)/(2/(-4)). Suppose 0 = p*r + j + 4*j - 23, 9 = 3*j. Factor -2/5*v**r + 2/5*v + 0. -2*v*(v - 1)/5 Let k = 59/245 - 2/49. Let h(n) be the first derivative of 1/15*n**3 + 1/5*n + 2 + k*n**2. Factor h(y). (y + 1)**2/5 Suppose -2*r + 63 - 19 = -x, 5*r = 4*x + 113. Solve -12*i**3 + 6*i - r*i**2 - 16*i + 4*i + 3 = 0 for i. -1, 1/4 Let a(i) be the third derivative of 0*i + i**2 - 2*i**3 + 2/3*i**4 - 1/15*i**5 + 0. Find z such that a(z) = 0. 1, 3 Let r be (-2)/24*(-7 - -6)/1. Let u(c) be the second derivative of 0 + 0*c**2 + r*c**3 - 2*c + 1/48*c**4. Find i such that u(i) = 0. -2, 0 Let a(m) = 380*m**2 + 1765*m - 560. Let b(k) = 27*k**2 + 126*k - 40. Let x(v) = -4*a(v) + 55*b(v). What is d in x(d) = 0? -4, 2/7 Let c = 19081/7 + -2725. Let k = 2/21 - -4/21. Factor 0 + 0*m + 2/7*m**2 - k*m**5 + 6/7*m**4 - c*m**3. -2*m**2*(m - 1)**3/7 Factor 46/5*d**2 - 16/5*d + 0 + 6/5*d**3. 2*d*(d + 8)*(3*d - 1)/5 Suppose 2*x = 5*z - 11, -12*z + 13 = -7*z - x. Suppose t + 6*i - 4*i = 4, z*t + 2*i - 4 = 0. Solve 0 + t*v**2 + 0*v + 2/13*v**4 - 4/13*v**3 = 0 for v. 0, 2 Let r be (-3 - -1)*(-2 + 12/(-6)). Factor r - 140*c**3 - 2*c + 73*c**3 - 8*c**2 + 69*c**3. 2*(c - 4)*(c - 1)*(c + 1) Let a = -1030 - -1032. Let o(f) be the second derivative of 0 + 1/8*f**4 + 1/4*f**a - 1/4*f**3 + 9*f - 1/40*f**5. Suppose o(r) = 0. What is r? 1 Let n(i) be the first derivative of 2*i**3/3 - 18*i + 199. Factor n(d). 2*(d - 3)*(d + 3) Let c = 24125/7 + -3439. Let u(q) be the second derivative of -7/15*q**6 + 0 - c*q**4 + q + 128/21*q**3 - 16/7*q**2 + 16/5*q**5. What is v in u(v) = 0? 2/7, 2 Let m be (-5)/(-1)*-1*(-30)/25. Let o be (-20)/45*m/(-12). Factor -i**2 - 1/9*i**4 + 7/9*i - o + 5/9*i**3. -(i - 2)*(i - 1)**3/9 Let l(i) = i**2 - i - 32. Let s be l(6). Let f be (-16)/(-33) - 1*s/11. Factor f - 1/3*o + 1/3*o**4 - o**2 + 1/3*o**3. (o - 1)**2*(o + 1)*(o + 2)/3 Suppose x**3 + 1/3*x**2 - 1/3*x**4 + 0 - x = 0. What is x? -1, 0, 1, 3 Let g = 356/225 + -52/75. Determine k, given that 4/9*k + 0 - 1/9*k**4 + 5/9*k**3 - g*k**2 = 0. 0, 1, 2 Let l(j) be the first derivative of 0*j + 1/9*j**3 - 1 + 1/6*j**2. Factor l(n). n*(n + 1)/3 Let l(w) be the third derivative of 9*w**2 + 0*w + 0 + 1/12*w**4 - 1/60*w**5 + 0*w**3 - 1/120*w**6. Suppose l(r) = 0. Calculate r. -2, 0, 1 Let j(k) be the second derivative of k**6/30 - 13*k**5/20 + 35*k**4/12 + 49*k**3/6 - 293*k. Factor j(z). z*(z - 7)**2*(z + 1) Let g be ((-4 - 3)/(-1))/1. Let -15*i**2 + g*i**2 + 18*i**2 + 5*i + 5*i**3 = 0. What is i? -1, 0 Find x, given that 0 + 2/9*x**3 - 8/9*x + 0*x**2 = 0. -2, 0, 2 Factor 1/5*d**2 + 28*d + 980. (d + 70)**2/5 Let k(m) be the second derivative of 25*m**7/27 - 20*m**6/9 - 64*m**5/45 + 8*m**4/9 + 16*m**3/27 - 3*m + 12. Solve k(d) = 0. -2/5, -2/7, 0, 2/5, 2 Let c(u) be the first derivative of -42 - 3*u + u**3 + 3/16*u**4 - 3/8*u**2. Factor c(v). 3*(v - 1)*(v + 1)*(v + 4)/4 Let l = -267 + 5609/21. Let w = 346/105 - l. Let 8/5*d - 2/5 - w*d**3 - 2/5*d**4 + 4/5*d**2 + 8/5*d**5 = 0. What is d? -1, 1/4, 1 Suppose 0 = -13*v + 19 + 7. Let r(m) be the first derivative of -2*m + 1/3*m**3 - 1/2*m**v + 2. Solve r(b) = 0. -1, 2 Factor 80/3 + 194/15*m**3 + 152/3*m + 32/15*m**4 + 556/15*m**2 + 2/15*m**5. 2*(m + 2)**3*(m + 5)**2/15 Let d(p) be the first derivative of p**5/180 - p**4/18 - 5*p**3/18 - 35*p**2/2 - 26. Let u(w) be the second derivative of d(w). Factor u(n). (n - 5)*(n + 1)/3 Let u be -8 - (-5 - 2 - -5). Let t be (-30)/8 - ((-6)/u + -5). Factor 0 + 1/4*n - 1/2*n**2 + t*n**3. n*(n - 1)**2/4 Let d be -15*3*(-6)/45. Suppose w - d = -w. Factor 4 - 4*l**2 - 2*l**3 + 22*l - 2*l**w - 18*l. -4*(l - 1)*(l + 1)**2 Suppose 0 = -2*i - 2*p + 116, 5*i - p - 3*p - 254 = 0. Let f(w) be the first derivative of 96/5*w**5 + 57/2*w**2 + 4 - 6*w - i*w**3 + 24*w**4. Solve f(u) = 0. -2, 1/4, 1/2 Let m(n) be the second derivative of -1/3*n**3 + 0 + n**2 - 1/8*n**4 + 2*n + 1/60*n**6 + 1/20*n**5. Let m(d) = 0. What is d? -2, 1 Let k be 63 + -72 + (0 - 249/(-27)). Let n(z) = z**3 - 4*z**2 + 5*z - 4. Let q be n(3). Solve 2/9*r**3 + 0 + k*r**4 - 2/9*r**5 - 2/9*r**q + 0*r = 0. -1, 0, 1 Let 4/15*r**4 + 56/15*r**3 + 4*r**2 - 2/3*r**5 + 0 + 6/5*r = 0. What is r? -1, -3/5, 0, 3 Let j(q) = -q**2 + 47*q + 504. Let i be j(56). Factor 0*f - 4/23*f**3 - 2/23*f**4 - 2/23*f**2 + i. -2*f**2*(f + 1)**2/23 Solve 0 + 33489/7*l**2 + 680943/7*l + 3/7*l**4 + 549/7*l**3 = 0 for l. -61, 0 Let a(i) be the first derivative of i**3 - 99*i**2/2 - 350. Determine p so that a(p) = 0. 0, 33 Let q(i) be the third derivative of 0 + 1/420*i**7 + 1/12*i**4 + 0*i + 0*i**3 - 1/240*i**6 + 17*i**2 - 1/30*i**5. Suppose q(m) = 0. Calculate m. -2, 0, 1, 2 Let m(r) = -r**3 + 9*r**2 + 16*r + 6. Let u(g) = 2*g**3 - 8*g**2 - 17*g - 7. Let i = -89 + 95. Let w(c) = i*u(c) + 7*m(c). Let w(k) = 0. Calculate k. -2, -1, 0 Let k = 1077 + -1072. Let c(f) be the third derivative of 0*f**3 - 1/20*f**k - 1/4*f**4 + 0*f - 6*f**2 + 0. Factor c(a). -3*a*(a + 2) Let t be (((-100)/5)/(-10))/10. Factor 3/5*g + 0 - t*g**2 - 3/5*g**3 + 1/5*g**4. g*(g - 3)*(g - 1)*(g + 1)/5 Suppose 12 = 5*l + 7. Let t(f) = f**2. Let a(x) be the first derivative of -4*x**3/3 - 3*x**2 - 3*x - 1. Let m(z) = l*a(z) + t(z). Factor m(p). -3*(p + 1)**2 Let f = 85023/74389 + -1/10627. Factor f*g**3 - 8/7 - 4*g**2 + 4*g. 4*(g - 2)*(g - 1)*(2*g - 1)/7 Let o(x) be the second derivative of -5*x**4/12 + 50*x**3/3 - 95*x**2/2 + 8*x - 4. Find f, given that o(f) = 0. 1, 19 Solve w**4 + w**5 - 13*w**3 + 23470 + 28*w + 20*w - w**2 - 23506 = 0. -3, 1, 2 Let h(j) = -j**2 + 15*j + 9. Let w be h(17). Let a = -14 - w. Find b such that 16 - 15*b**2 + 24*b + 2*b**3 + a*b**2 + 16*b**2 = 0. -2 Let f(y) be the second derivative of -3*y**5/50 - 3*y**4/2 - 38*y**3/5 - 72*y**2/5 + 5*y - 25. Factor f(c). -6*(c + 1)*(c + 2)*(c + 12)/5 Let t(r) be the first derivative of -r**4/4 - 13*r**3/3 - 8*r**2 + 192*r - 371. Let t(c) = 0. Calculate c. -8, 3 Find n, given that 1/5*n - 1/5*n**2 + 6/5 = 0. -2, 3 Find h, given that 729 - 27*h + 1/4*h**2 = 0. 54 Let z(u) be the second derivative of 0 + 14*u - 4/3*u**3 + 1/3*u**4 + 0*u**2. Factor z(o). 4*o*(o - 2) Let y = -164 - -161. Let q be ((-4)/(-24))/((-2)/y). Find h such that -1/4*h**5 + q*h + 0*h**3 + 1/2*h**4 - 1/2*h**2 + 0 = 0. -1, 0, 1 Let i be 60/33 - (-6)/33. Let q(h) = -h**3 - 3*h**2 + 6*h + 10. Let x be q(-4). Solve x*p**i + 10*p**3 - 10/9*p - 2/9 = 0. -1/3, -1/5, 1/3 Suppose 2*n = 3*i - 16, -n - 1 = -0*i + 2*i. Factor -4*q**3 - 8*q**i - 6 + 7 - 1. -4*q**2*(q + 2) Let p(d) be the first derivative of -d**4/3 + 56*d**3 - 3528*d**2 + 98784*d - 409. Factor p(y). -4*(y - 42)**3/3 Factor -683 - 215*q**2 - 5*q**3 - 4897 - 2296*q + 256*q. -5*(q + 6)**2*(q + 31) Let p(a) be the first derivative of -a**5/10 - 5*a**4/6 - 40*a - 19. Let c(y) be the first derivative of p(y). Determine s, given that c(s) = 0. -5, 0 Let b(y) = -5*y**2 - 10*y + 10. Let l = 64 - 63. Let z(k) = k. Let u(d) = l*b(d) + 5*z(d). What is q in u(q) = 0? -2, 1 Let 26/3*u - 25/3 - 1/3*u**2 = 0. What is u? 1, 25 Let i = -31 - -35. Suppose 5*p = -i*g - 17, -p + 5 = 4*g + 2. Suppose -2/5 - 6/5*u**4 + 0*u + 8/5*u**g + 4/5*u**3 - 4/5*u**5 = 0. Calculate u. -1, 1/2, 1 Suppose u + 4*b + 4 = 4*u, 4*u + 4*b - 52 = 0. Factor 4*g**3 + 104*g - 104*g - u*g**2. 4*g**2*(g - 2) Find u such that 18/7 - 20/7*u + 2/7*u**2 = 0. 1, 9 Suppose -11*q + 27 = -688. Suppose 5*b = 90 - q. Let -1/4*x**4 + 0 + 0*x - 1/4*x**b + 1/4*x**2 + 1/4*x**3 = 0. What is x? -1,
{ "pile_set_name": "DM Mathematics" }
hat is the f'th term of 24288, 46427, 66414, 84249, 99932? -1076*f**2 + 25367*f - 3 What is the i'th term of -93755, -93682, -93609, -93536? 73*i - 93828 What is the u'th term of -22018399, -22018416, -22018435, -22018456, -22018479, -22018504? -u**2 - 14*u - 22018384 What is the l'th term of 1088, 4488, 7910, 11366, 14868, 18428, 22058? 2*l**3 - l**2 + 3389*l - 2302 What is the w'th term of -382068, -764129, -1146194, -1528263? -2*w**2 - 382055*w - 11 What is the u'th term of 2853106, 5706227, 8559348? 2853121*u - 15 What is the g'th term of -311, -416, -479, -434, -215, 244, 1009? 11*g**3 - 45*g**2 - 47*g - 230 What is the k'th term of -1069, -4291, -9651, -17155, -26809? -k**3 - 1063*k**2 - 26*k + 21 What is the o'th term of 15400, 123121, 415498, 984859, 1923532, 3323845? 15388*o**3 + 5*o + 7 What is the t'th term of -5808, -20190, -43140, -74658, -114744? -4284*t**2 - 1530*t + 6 What is the t'th term of -728142, -1456280, -2184418, -2912556, -3640694? -728138*t - 4 What is the b'th term of -190640946, -381281894, -571922844, -762563796, -953204750, -1143845706, -1334486664? -b**2 - 190640945*b What is the y'th term of 58259928, 58259926, 58259924, 58259922, 58259920, 58259918? -2*y + 58259930 What is the r'th term of -1445817, -1445805, -1445795, -1445787, -1445781? -r**2 + 15*r - 1445831 What is the j'th term of -22545, -45031, -67493, -89937, -112369? -j**3 + 18*j**2 - 22533*j - 29 What is the y'th term of 13471291, 26942582, 40413873, 53885164? 13471291*y What is the i'th term of 205, -218, -1913, -5516, -11663, -20990, -34133? -106*i**3 + 319*i - 8 What is the u'th term of 18006783, 18006780, 18006787, 18006810, 18006855, 18006928, 18007035? u**3 - u**2 - 7*u + 18006790 What is the u'th term of -21933, -43630, -65327, -87024, -108721? -21697*u - 236 What is the x'th term of 87686, 175393, 263100, 350807? 87707*x - 21 What is the i'th term of 5534397, 11068793, 16603189, 22137585, 27671981? 5534396*i + 1 What is the o'th term of -2044, -4509, -7020, -9577, -12180, -14829, -17524? -23*o**2 - 2396*o + 375 What is the i'th term of 804, 507, 44, -579, -1356, -2281, -3348? i**3 - 89*i**2 - 37*i + 929 What is the q'th term of 11405632, 11405630, 11405628, 11405626? -2*q + 11405634 What is the d'th term of -269268, -269460, -269650, -269838, -270024, -270208? d**2 - 195*d - 269074 What is the f'th term of 5488440, 10976877, 16465314, 21953751, 27442188, 32930625? 5488437*f + 3 What is the p'th term of 41220, 41601, 41900, 42075, 42084, 41885, 41436? -7*p**3 + p**2 + 427*p + 40799 What is the q'th term of -61914878, -123829757, -185744636, -247659515, -309574394, -371489273? -61914879*q + 1 What is the d'th term of -600650, -1201218, -1801786, -2402354? -600568*d - 82 What is the h'th term of 217, 500, 1245, 2674, 5009, 8472, 13285? 37*h**3 + 9*h**2 - 3*h + 174 What is the q'th term of -2205399, -2205381, -2205363, -2205345, -2205327? 18*q - 2205417 What is the w'th term of 3527634, 3527630, 3527624, 3527616, 3527606, 3527594, 3527580? -w**2 - w + 3527636 What is the o'th term of -340054, -682339, -1024624, -1366909, -1709194, -2051479? -342285*o + 2231 What is the v'th term of 181329, 724868, 1630629, 2898618, 4528841, 6521304, 8876013? v**3 + 181105*v**2 + 217*v + 6 What is the k'th term of -1529, -1533, -1555, -1595? -9*k**2 + 23*k - 1543 What is the l'th term of -3354597, -3354598, -3354599? -l - 3354596 What is the l'th term of 129030, 258046, 387040, 516012, 644962, 773890, 902796? -11*l**2 + 129049*l - 8 What is the w'th term of 439579, 1758374, 3956381, 7033606, 10990055, 15825734, 21540649, 28134806? w**3 + 439600*w**2 - 12*w - 10 What is the l'th term of 1403, 12031, 40887, 97085, 189739, 327963? 1519*l**3 - 5*l - 111 What is the b'th term of 25964, 51958, 77952, 103946? 25994*b - 30 What is the v'th term of -287847, -575728, -863609? -287881*v + 34 What is the c'th term of 409174, 818335, 1227494, 1636651, 2045806? -c**2 + 409164*c + 11 What is the a'th term of 15644, 15605, 15544, 15449, 15308, 15109? -2*a**3 + a**2 - 28*a + 15673 What is the a'th term of 41369, 52128, 62899, 73688, 84501? a**3 + 10752*a + 30616 What is the t'th term of -131352, -525405, -1182170, -2101653, -3283860, -4728797? -t**3 - 131350*t**2 + 4*t - 5 What is the q'th term of -64950, -64990, -65056, -65148? -13*q**2 - q - 64936 What is the j'th term of 167401, 334807, 502213, 669619, 837025, 1004431? 167406*j - 5 What is the m'th term of -23929, -47637, -71345, -95053? -23708*m - 221 What is the b'th term of -338242, -338250, -338258, -338266, -338274? -8*b - 338234 What is the b'th term of 3556973, 3557163, 3557353, 3557543? 190*b + 3556783 What is the h'th term of -4443, -15696, -34395, -60546, -94155? -h**3 - 3717*h**2 - 95*h - 630 What is the n'th term of -3410, -8392, -14900, -22934, -32494? -763*n**2 - 2693*n + 46 What is the j'th term of -441454, -883146, -1324838, -1766530? -441692*j + 238 What is the r'th term of -2838577, -5677153, -8515729? -2838576*r - 1 What is the y'th term of -1148, -8119, -26744, -62849, -122260, -210803, -334304, -498589? -971*y**3 - y**2 - 171*y - 5 What is the z'th term of 404, 2827, 9232, 21551, 41716, 71659, 113312, 168607? 322*z**3 + 59*z**2 - 8*z + 31 What is the k'th term of -1174130, -1174142, -1174154, -1174160, -1174154, -1174130, -1174082, -1174004? k**3 - 6*k**2 - k - 1174124 What is the y'th term of 601520, 1203013, 1804502, 2405987? -2*y**2 + 601499*y + 23 What is the k'th term of -1734, -1138, 118, 2034, 4610? 330*k**2 - 394*k - 1670 What is the f'th term of 55892385, 111784769, 167677153, 223569537, 279461921, 335354305? 55892384*f + 1 What is the b'th term of 90, 96, -70, -492, -1254? -14*b**3 - 2*b**2 + 110*b - 4 What is the j'th term of -28282, -56543, -84746, -112861, -140858? 5*j**3 - j**2 - 28293*j + 7 What is the o'th term of 11238, 22554, 33870, 45186, 56502, 67818? 11316*o - 78 What is the f'th term of 1078899, 1078895, 1078891, 1078887, 1078883, 1078879? -4*f + 1078903 What is the r'th term of -690117833, -690117834, -690117835, -690117836? -r - 690117832 What is the o'th term of 25731, 51513, 77359, 103269, 129243, 155281? 32*o**2 + 25686*o + 13 What is the h'th term of 46, 567, 2218, 5647, 11502? 108*h**3 - 83*h**2 + 14*h + 7 What is the m'th term of -431276, -431320, -431450, -431708, -432136, -432776, -433670, -434860? -7*m**3 - m**2 + 8*m - 431276 What is the q'th term of 438, 287, 82, -207, -610, -1157, -1878, -2803? -5*q**3 + 3*q**2 - 125*q + 565 What is the n'th term of -50933, -203810, -458601, -815300, -1273901? n**3 - 50963*n**2 + 5*n + 24 What is the p'th term of 379, 2191, 6409, 14011, 25975, 43279, 66901? 163*p**3 + 225*p**2 - 4*p - 5 What is the f'th term of 1225, -1688, -4601, -7514? -2913*f + 4138 What is the r'th term of -197435384, -394870766, -592306146, -789741524? r**2 - 197435385*r What is the z'th term of 9916, 20899, 31882, 42865, 53848, 64831? 10983*z - 1067 What is the y'th term of 108109, 216215, 324319, 432421, 540521? -y**2 + 108109*y + 1 What is the z'th term of 27570504, 27570464, 27570424? -40*z + 27570544 What is the g'th term of -160061, -160748, -161435, -162122, -162809, -163496? -687*g - 159374 What is the o'th term of -253075, -1012330, -2277765, -4049380? -253090*o**2 + 15*o What is the m'th term of -14158, -56654, -127484, -226648, -354146, -509978? -14167*m**2 + 5*m + 4 What is the v'th term of -68482, -68343, -68204, -68065, -67926, -67787? 139*v - 68621 What is the l'th term of -7339929, -7339927, -7339925, -7339923, -7339921? 2*l - 7339931 What is the g'th term of -94043, -93836, -93629, -93422, -93215, -93008? 207*g - 94250 What is the p'th term of 33138044, 33138047, 33138054, 33138065, 33138080, 33138099? 2*p**2 - 3*p + 33138045 What is the r'th term of -3419, -4327, -5241, -6161? -3*r**2 - 899*r - 2517 What is the j'th term of -84784976, -84784975, -84784974, -84784973? j - 84784977 What is the j'th term of -556, -2145, -4764, -8413, -13092, -18801? -515*j**2 - 44*j + 3 What is the o'th term of -577592, -1155589, -1733586, -2311583? -577997*o + 405 What is the u'th term of 233369395, 466738786, 700108175, 933477562, 1166846947, 1400216330, 1633585711? -u**2 + 233369394*u + 2 What is the j'th term of 32952116, 32952118, 32952122, 32952128, 32952136,
{ "pile_set_name": "DM Mathematics" }
, 176308? 220407 What is the next term in -5368, -10762, -16224, -21790, -27496, -33378? -39472 What is the next term in -3547, -16125, -37599, -67975, -107259, -155457? -212575 What is the next term in 966515, 1933134, 2899753, 3866372, 4832991, 5799610? 6766229 What is the next term in 51818, 103643, 155478, 207323, 259178? 311043 What is the next term in 86, 560, 1340, 2426, 3818, 5516? 7520 What is the next term in -171301716, -171301719, -171301722? -171301725 What is next in -83916, -85686, -87456, -89226, -90996, -92766? -94536 What is the next term in 164584132, 329168263, 493752394, 658336525? 822920656 What is next in 31213, 124653, 280397, 498457, 778845, 1121573, 1526653? 1994097 What is next in -1048, -2713, -4996, -7903, -11440, -15613, -20428? -25891 What is next in 104967, 419331, 943267, 1676769, 2619831, 3772447, 5134611? 6706317 What is the next term in -31625, -57628, -78003, -92744, -101845, -105300? -103103 What is the next term in -24917, -48427, -71935, -95441, -118945? -142447 What is the next term in -29763618, -29763623, -29763628, -29763633? -29763638 What is next in -161192, -161180, -161154, -161108, -161036, -160932, -160790? -160604 What is next in 5842, 23457, 52806, 93883, 146682? 211197 What is the next term in 12164, 49020, 110456, 196472, 307068, 442244? 602000 What comes next: 184283, 737135, 1658555, 2948543, 4607099, 6634223? 9029915 What is next in 12438, 25725, 39012, 52299, 65586? 78873 What comes next: 35913, 36016, 36119, 36222? 36325 What comes next: -9704463, -19408970, -29113479, -38817990, -48522503? -58227018 What comes next: -628519, -1256594, -1884669, -2512744, -3140819, -3768894? -4396969 What is the next term in -1468, -2001, -2970, -4441, -6480? -9153 What comes next: 7027, 7746, 8949, 10636, 12807? 15462 What is the next term in 10587, 22172, 33757, 45342, 56927? 68512 What comes next: -5631, -11327, -17193, -23313, -29771? -36651 What is the next term in 15382926, 30765859, 46148792, 61531725, 76914658, 92297591? 107680524 What comes next: 1845759, 3691524, 5537289, 7383054, 9228819? 11074584 What is the next term in -5206559, -20826222, -46858993, -83304872? -130163859 What comes next: 415422, 415424, 415426? 415428 What is the next term in 9490818, 18981633, 28472448? 37963263 What is the next term in 4005, 17361, 40077, 72147, 113565? 164325 What is next in -24384, -49816, -75260, -100722, -126208, -151724, -177276? -202870 What is next in -2693, -10372, -23161, -41060, -64069, -92188, -125417? -163756 What is the next term in -119020, -242139, -365258, -488377, -611496, -734615? -857734 What is next in -75151, -75194, -75247, -75316, -75407, -75526? -75679 What is the next term in 20855, 41707, 62559, 83411? 104263 What is the next term in -1840842, -1840933, -1841020, -1841103, -1841182, -1841257, -1841328? -1841395 What is next in 17084946, 17085047, 17085162, 17085297, 17085458, 17085651, 17085882, 17086157? 17086482 What comes next: 2773856, 5547710, 8321566, 11095424? 13869284 What comes next: 1105966, 1106124, 1106280, 1106434, 1106586, 1106736, 1106884? 1107030 What is next in 9336, 11859, 14382, 16905, 19428? 21951 What is next in -97331, -196637, -295943, -395249, -494555? -593861 What is next in -45013, -45293, -45573, -45853? -46133 What comes next: -2199967, -4399716, -6599465, -8799214, -10998963? -13198712 What comes next: -46718, -93689, -140660, -187631, -234602? -281573 What is next in 484351, 485037, 485723? 486409 What is the next term in -172027, -344069, -516121, -688183, -860255? -1032337 What is the next term in -44192, -88220, -132248, -176276? -220304 What is the next term in 303177, 303193, 303225, 303279, 303361, 303477? 303633 What is the next term in -254370, -254363, -254352, -254337, -254318, -254295, -254268? -254237 What comes next: 43477, 43306, 43135, 42964? 42793 What comes next: -740671, -740654, -740637, -740620? -740603 What is the next term in -4131, -8437, -12785, -17187, -21655, -26201? -30837 What is next in -30838, -61610, -92336, -123016, -153650? -184238 What is the next term in 27234809, 54469617, 81704425, 108939233, 136174041, 163408849? 190643657 What is the next term in -25650814, -25650812, -25650810? -25650808 What is the next term in 1663638, 3327426, 4991214, 6655002, 8318790? 9982578 What is the next term in -174, -833, -2374, -5169, -9590, -16009? -24798 What is the next term in 21782, 21759, 21706, 21617, 21486, 21307? 21074 What is the next term in 476, -13, -1312, -3817, -7924? -14029 What is next in 3448, 7180, 11286, 15766, 20620, 25848, 31450? 37426 What is next in -2773, -5332, -7671, -9784, -11665, -13308, -14707, -15856? -16749 What is next in 40144, 80456, 120938, 161590, 202412, 243404? 284566 What is the next term in 1776, 2132, 2484, 2832? 3176 What is the next term in -2372, -2881, -3766, -5027, -6664? -8677 What is the next term in 11314, 4145, -3024, -10193, -17362? -24531 What comes next: 876906, 1753833, 2630796, 3507795, 4384830, 5261901, 6139008? 7016151 What is the next term in -90101, -90064, -90001, -89912, -89797? -89656 What comes next: 389, 1977, 6277, 14645, 28437, 49009, 77717, 115917? 164965 What comes next: -137317, -274504, -411691? -548878 What is next in 5415, 10568, 15461, 20094, 24467? 28580 What comes next: -2460, -4891, -7246, -9525, -11728? -13855 What is the next term in -78854, -84665, -90478, -96293, -102110? -107929 What comes next: 916216, 1832430, 2748644? 3664858 What is next in 27582, 29522, 31462, 33402, 35342? 37282 What is next in 281104555, 281104554, 281104553, 281104552, 281104551, 281104550? 281104549 What is the next term in -59244, -58586, -56776, -53238, -47396, -38674? -26496 What is the next term in -251242, -251334, -251430, -251530, -251634, -251742? -251854 What is the next term in 80095, 160407, 240719? 321031 What comes next: -348878, -1395507, -3139898, -5582051, -8721966, -12559643? -17095082 What is next in 242674, 242778, 242946, 243178, 243474, 243834? 244258 What comes next: -1008, -3968, -8878, -15720, -24476? -35128 What is next in 365796, 364866, 363316, 361146, 358356? 354946 What is next in -27861, -111582, -251159, -446592, -697881? -1005026 What comes next: 299, 1364, 3207, 5846, 9299, 13584? 18719 What is the next term in -1503280, -3006464, -4509626, -6012754, -7515836, -9018860? -10521814 What comes next: 3707, 2591, 743, -1825, -5101, -9073, -13729, -19057? -25045 What is the next term in -523, -2721, -6395, -11545? -18171 What is next in -402656801, -805313601, -1207970401, -1610627201, -2013284001? -2415940801 What comes next: 2838, 10906, 24212, 42756, 66538, 95558? 129816 What comes next: -15060, -120062, -405122, -960288, -1875608, -3241130, -5146902? -7682972 What is next in -574, -955, -1336, -1717, -2098? -2479 What is next in 436, 1207, 1624, 979, -1436? -6329 What comes next: -95445, -95481, -95559, -95679, -95841, -96045, -96291? -96579 What is the next term in 16271933, 65087708, 146447325, 260350778, 406798061? 585789168 What comes next: 5465, 5194, 4929, 4670? 4417 What comes next: 250457, 250526, 250591, 250652, 250709? 250762 What is next in -199624, -398027, -596426, -794821, -993212? -1191599 What is next in -3715, -7431, -11143, -14851? -18555 What comes next: -5957, -12341, -18725, -25109, -31493? -37877 What is the next term in 27064, 25775, 24486, 23197, 21908, 20619? 19330 What is next in 154146, 1232298, 4158724, 9857562, 19252950, 33269026, 52829928? 78859794 What comes next: -6520058, -6520060, -6520062, -6520064? -6520066 What comes next: 17886, 69015, 154230, 273531, 426918, 614391? 835950 What comes next: -126294, -252544, -378794? -505044 What is next in 703, 2637, 5797, 10183, 15795? 22633 What is the next term in -1790, -6400, -13828, -24074, -37138, -53020? -71720 What comes next: -1499255417, -1499255416, -1499255415? -1499255414 What comes next: -16140, -33510, -50880, -68250? -85620 What is the next term in 364, 684, 1230, 2014, 3048, 4344, 5914? 7770 What comes next: 13895, 12808, 11721, 10634? 9547 What is the next term in -2550251, -5100517, -7650783? -10201049 What is next in 4333, 8842, 13405, 18046, 22789, 27658, 32677? 37870 What comes next: -11327, -22250, -33175, -44108, -55055, -66022, -77015? -880
{ "pile_set_name": "DM Mathematics" }
21212211102020 In base 2, what is 110011010 + 1000001101111000111? 1000001110101100001 In base 15, what is 2 + -227c53? -227c51 In base 12, what is -13219 - -66? -13173 In base 4, what is 1 - 2132322000? -2132321333 In base 14, what is 0 - 3329337? -3329337 In base 16, what is 8d3e8c - -e? 8d3e9a In base 8, what is 1 - 12732126? -12732125 In base 14, what is -23db9a6 - 26? -23db9cc In base 6, what is 25230230 + 40? 25230310 In base 5, what is 221 + -23200320? -23200044 In base 15, what is d5 - -c678b? c6871 In base 7, what is -6240613661 + 3? -6240613655 In base 12, what is 77858 + -147? 77711 In base 2, what is -1001000 - 111111110110001011? -111111110111010011 In base 6, what is 120333204550 + -3? 120333204543 In base 8, what is 3673521 - -637? 3674360 In base 11, what is 0 - 1a056351? -1a056351 In base 3, what is 10201211110100 + 11? 10201211110111 In base 10, what is 100 - -376855? 376955 In base 5, what is -2 + -3401412104? -3401412111 In base 16, what is 106 - -10eb0? 10fb6 In base 3, what is 101212201002002102 + 11? 101212201002002120 In base 8, what is -31 - -47474746? 47474715 In base 15, what is -5 - -e5a07e? e5a079 In base 3, what is -11 - -22202012212211? 22202012212200 In base 7, what is 45 + 14032156? 14032234 In base 3, what is 11 - -1121210202200010? 1121210202200021 In base 14, what is 5 + -25c666b7? -25c666b2 In base 12, what is 323b2 - 314? 3209a In base 9, what is 7 + -10850166? -10850158 In base 14, what is -84 + -a972? -aa16 In base 7, what is -104345063 + -5? -104345101 In base 14, what is -4 + -863721? -863725 In base 10, what is -65 + -1659663? -1659728 In base 7, what is -2020010 + -342? -2020352 In base 8, what is 1030064 + 21? 1030105 In base 7, what is -2065014 - -11? -2065003 In base 7, what is -60561645 + 26? -60561616 In base 5, what is -10 - 344344404? -344344414 In base 9, what is 8 + -1053177? -1053168 In base 10, what is 8752052 + 6? 8752058 In base 12, what is 231576 - 299? 231299 In base 16, what is 124c - -2178? 33c4 In base 14, what is 108bda - 16? 108bc4 In base 15, what is -110dc16 - 0? -110dc16 In base 7, what is 36324421 + 24? 36324445 In base 12, what is -2 - 1b02843? -1b02845 In base 11, what is -252077 + -345? -252411 In base 4, what is -2310 + 1120202033? 1120133123 In base 12, what is b499a0 + 23? b49a03 In base 7, what is 200162 + 10205? 210400 In base 16, what is 20a176 - 13? 20a163 In base 15, what is -3 + b088a8? b088a5 In base 12, what is -3ab - b40a7? -b4496 In base 8, what is -2250 + -712? -3162 In base 13, what is -7 - -3b6042? 3b6038 In base 15, what is -6 + 27d6c6? 27d6c0 In base 7, what is -3 + -12363234? -12363240 In base 14, what is -5dc992 + 47? -5dc949 In base 16, what is -7d0192 + 7? -7d018b In base 3, what is -2201220112210 + -220012? -2201221102222 In base 4, what is -101 + 111032032300? 111032032133 In base 4, what is 20211130 - 1223? 20203301 In base 6, what is 22 + 313203001? 313203023 In base 13, what is 776840 + -71? 77679c In base 11, what is -119890 + 1282? -118609 In base 15, what is -242b6c - 4e? -242bbb In base 9, what is 87018 + -377? 86531 In base 16, what is -3e + -258dc? -2591a In base 3, what is -211110201201 + 211? -211110200220 In base 9, what is -17003 - 774? -17777 In base 8, what is -10413 + -14177? -24612 In base 7, what is -4401234 - -256? -4400645 In base 13, what is 424b2 - -195? 42677 In base 6, what is 1351033 - 5120? 1341513 In base 9, what is 212865475 - -1? 212865476 In base 12, what is 121407 - -32? 121439 In base 3, what is -20120220100002 + -20? -20120220100022 In base 15, what is 209a67e + 4? 209a683 In base 2, what is 1000011101100100 + -110000001100? 111101101011000 In base 16, what is -5df178 + -9? -5df181 In base 3, what is 11 + 11210121110110? 11210121110121 In base 14, what is -4 - cbcd982? -cbcd986 In base 9, what is -2063176 - 0? -2063176 In base 5, what is -14304 - -101120211? 101100402 In base 11, what is 2 + -6666463? -6666461 In base 14, what is -3 - 153ba6c6? -153ba6c9 In base 7, what is 14130251023 - -3? 14130251026 In base 12, what is -7a0a787 + 4? -7a0a783 In base 5, what is 3214140 + 321? 3220011 In base 7, what is -366 - 2260140? -2260536 In base 14, what is -b769c1a - -4? -b769c16 In base 16, what is 15397 - -310? 156a7 In base 6, what is -33100 - -10240? -22420 In base 12, what is 197 - 2896? -26bb In base 12, what is b3 - 71ab2? -719bb In base 16, what is c7144ca + -3? c7144c7 In base 8, what is 3 - 156447351? -156447346 In base 5, what is -30114 - -123233? 43114 In base 14, what is -106d7 + -14? -1070b In base 15, what is e106 - 110? dee6 In base 9, what is -22272 + -21323? -43605 In base 16, what is -5 - -3195937? 3195932 In base 14, what is 14dc0 - a42? 1437c In base 5, what is 2221210 + -111? 2221044 In base 8, what is 4 - -31024524? 31024530 In base 7, what is 6 + 153440? 153446 In base 14, what is -11a8d2c7 - -2? -11a8d2c5 In base 16, what is 10caa79 - -4? 10caa7d In base 4, what is -1233 - 30101113321? -30101121220 In base 16, what is 2ce2c + 15? 2ce41 In base 10, what is -52295 + 467? -51828 In base 6, what is -300 - 10402323? -10403023 In base 7, what is 124313 - -505? 125121 In base 8, what is -326 + 66434? 66106 In base 11, what is -5 + 1137963? 1137959 In base 4, what is 31032 + -2101321? -2010223 In base 15, what is -15358de4 + -1? -15358de5 In base 11, what is 1 - 148391940? -14839193a In base 13, what is -4867 + 1841? -3026 In base 14, what is -1259 + 7949? 66d0 In base 8, what is 430267442 - -2? 430267444 In base 13, what is 112b1949c - 0? 112b1949c In base 12, what is 427633 - 2? 427631 In base 9, what is -26027 - -12158? -13758 In base 2, what is 110111100011101 + 11011? 110111100111000 In base 7, what is 2421163 + 452? 2421645 In base 6, what is -21450 - -103552? 42102 In base 13, what is 7 - 1a92b8? -1a92b1 In base 11, what is -224 + -29093? -29307 In base 13, what is -354b90 - -1? -354b8c In base 13, what is 43a27 - -2b? 43a55 In base 2, what is 1011000001000110000101011 - -1011? 1011000001000110000110110 In base 11, what is 149592 - -102? 149694 In base 15, what is -433d14 + 13? -433d01 In base 12, what is -720727 - 5a? -720785 In base 5, what is 10341421231 + -10? 10341421221 In base 10, what is 4399118 + 16? 4399134 In base 14, what is -4d00 + 2a3? -4a3b In base 6, what is -323131314 + 302? -323131012 In base 5, what is -4320422 - -30231? -4240141 In base 4, what is -121 + 2132210221? 2132210100 In base 10, what is 9895764 - 2? 9895762 In base 13, what is -6 - 11cac27? -11cac30 In base 4, what is -1021320202212 - -2? -1021320202210 In base 10, what is -604 + -137211? -137815 In base 14, what is -1bca - 457? -2243 In base 12, what is -2b63a66 + 2? -2b63a64 In base 16, what is 1df92 - -b2? 1e044 In base 15, what is -2 + 1242e47d? 1242e47b In base 13, what is -42 - -564c2? 56480 In base 10, what is 8 + 15773087? 15773095 In base 12, what is -10 + -16649b? -1664ab In base 5, what is 24 - 14201240322? -14201240243 In base 3, what is 102001210222100000 + 10? 102001210222100010 In base 9, what is -78626012 - -23? -78625878 In base 15, what is -e9 - 1373c? -13836 In base 10, what is -3 + -12087117? -12087120 In base 16, what is -1 + -13c027? -13c028 In base 11, what is 418879 - 61? 418818 In base 4, what is 0 + 2110210121? 2110210121 In base 7, what is -26344666 - -44? -26344622 In base 11, what is -4 - 318801a? -3188023 In base 4, what is -11 + 3020210112010? 3020210111333 In base 14, what is -2 - -2469a948? 2469a946 In base 16, what is -38ce - ceb? -45b9 In base 16, what is -3 - -590dbc? 590db9 In base 4, what is 2313223032 - -311? 2313230003 In base 14, what is -501b280b + -4? -501b2811 In base 16, what is -2a - -8b1c9? 8b19f In base 8, what is -623344 + -50? -623414 In base 9, what is 886 - -160563? 161560 In base 10, what is -164 - -670351? 670187 In base 11, what is 7a57873 + 6? 7a57879 In base 13, what is 40 - -659c4? 65a34 In base 16, what is 3d - 2dc169? -2dc12c In base 2, what is 101 - 11100001110111010001011? -11100001110111010000110 In base 6, what is -115102324 + -543? -115103311 In base 4, what is -11320211303 - -3? -11320211300 In base 4, what is -131103332313200 + -3? -131103332313203 In base 2, what is -1000101111000101000110101 + -1? -1000101111000101000110110 In base 5, what is -131443
{ "pile_set_name": "DM Mathematics" }
3 - b*y**2 + 271*b*y - 3*s**2*y**3 - s**2 + 4*y**2 wrt y. -90*b*y - 2*b - 18*s**2*y + 8 Find the third derivative of 26*d**6*n**2 + 7*d**3*n**2 - 8*d**2*n**2 - 6*d**2 + 2*n wrt d. 3120*d**3*n**2 + 42*n**2 Find the third derivative of -j*k**5 - 12*j*k**3 - 3*j + k**3 - 21*k**2 wrt k. -60*j*k**2 - 72*j + 6 Find the second derivative of -4*f**2*g**3 + 2*f**2*g - 223*f**2 - 2*f*g - 74*g**3 + g wrt f. -8*g**3 + 4*g - 446 Find the third derivative of -2*k*o*p**4 - 2252*k*o*p**3 + k*o + 38*o + 4*p**2 wrt p. -48*k*o*p - 13512*k*o Find the third derivative of -2*b**6 + 51*b**5 - 28*b**3 - 3924*b**2 wrt b. -240*b**3 + 3060*b**2 - 168 What is the second derivative of -8*j**5 + 63*j**3 - 487*j? -160*j**3 + 378*j What is the third derivative of -6169*a**4 - 8120*a**2? -148056*a Find the second derivative of 5*a**5 - a - 35 wrt a. 100*a**3 What is the second derivative of 3925*n**5 + 1304*n + 2? 78500*n**3 Find the third derivative of 1294*i**5 + 2*i**2 - 336 wrt i. 77640*i**2 What is the third derivative of 2*s**6 + 300*s**3 - 160*s**2 - 5? 240*s**3 + 1800 Differentiate 10261*f**3 + 222 wrt f. 30783*f**2 What is the second derivative of 285*r*v**2 - 2*r - 2*v + 352 wrt v? 570*r What is the second derivative of m**3 + 7*m**2 - 1019*m? 6*m + 14 Find the second derivative of 937*j**2 - 9566*j + 1. 1874 Differentiate 194*l**2 - 555 with respect to l. 388*l What is the second derivative of 28*j**2*l*q + 16*j**2*q*z**3 + 4*j**2*q*z**2 - 2*j*l*q*z**3 - 10*j*l*q*z - 3*j*l*z**2 - 55*z**3 wrt j? 56*l*q + 32*q*z**3 + 8*q*z**2 Find the third derivative of 28*x**6 + 9*x**5 + 347*x**2. 3360*x**3 + 540*x**2 What is the second derivative of -275*q**3*y**2 - 16*q**3 - y wrt y? -550*q**3 What is the derivative of c**2 + 225*c - 394 wrt c? 2*c + 225 Differentiate -5*c*m**3*w*x - 2*c*m**2*w + 2*m**3*w - 2*m**2*w - 89*m*w*x with respect to c. -5*m**3*w*x - 2*m**2*w Find the third derivative of -g**5 + 61*g**4 + 9619*g**2. -60*g**2 + 1464*g Find the first derivative of -11*b**3*z**4 - 980*b**3 + 26*z**4 - 2 wrt z. -44*b**3*z**3 + 104*z**3 What is the third derivative of 7700*s**6 - 13812*s**2 wrt s? 924000*s**3 Find the second derivative of 7*x**5 + x**2 + 152*x wrt x. 140*x**3 + 2 Find the third derivative of 2*r**4 + 5*r**3 + 8*r**2 + 10*r wrt r. 48*r + 30 Differentiate -2635*g*i - 2459*g + i**4 + 1 with respect to i. -2635*g + 4*i**3 Find the second derivative of -928*p*z**3 - 2*p*z - p + 2*z + 25 wrt z. -5568*p*z Differentiate -193*t**4 - 1332 with respect to t. -772*t**3 What is the second derivative of 2*c*i**5 - 24*c*i**3 + 7*c*i**2 + 223*c - 22*i wrt i? 40*c*i**3 - 144*c*i + 14*c What is the second derivative of -92*i**2*y + 10*i**2 - 2*i*y - 89*i - 5*y wrt i? -184*y + 20 Find the second derivative of 14*q**5 + 5*q**2 + 2*q - 87. 280*q**3 + 10 Find the first derivative of -856*a**3 - 2*a**2 + 1376. -2568*a**2 - 4*a Find the second derivative of 3*j**2*q*r**2 - 2*j**2*r**2 + 2*j**2 - 26*j*q**3*r**2 + 6*j*q**2 - 9*q**3*r - 2*q**2*r wrt r. 6*j**2*q - 4*j**2 - 52*j*q**3 What is the third derivative of -17*u**5 - 2*u**3 - 2083*u**2 - 3*u wrt u? -1020*u**2 - 12 What is the third derivative of 163*y**6 - 242*y**2? 19560*y**3 What is the derivative of -401*c**4 + 419? -1604*c**3 Find the second derivative of 3385*h**2 + 9301*h. 6770 Differentiate -k**3*q*z + 34*k**3*q + k**3 + 12*k**2*z - k*q with respect to z. -k**3*q + 12*k**2 Find the third derivative of 188*a**3 - 2*a**2 + 20*a wrt a. 1128 What is the third derivative of -18*k**4*t + 2*k**4 - k**3*t + k**2 + 195*k*t wrt k? -432*k*t + 48*k - 6*t Find the first derivative of 5*b**2*y + 2*b*q*y + 23*b*y + 2*q*y - 412*y wrt b. 10*b*y + 2*q*y + 23*y What is the derivative of -112*n**2 - 185? -224*n Find the second derivative of 571*s**2*v**2 - 70*s**2*v - 4*s**2 wrt v. 1142*s**2 Find the first derivative of 2*j*m**2*n - 67*j*n - 98*j - m**2 wrt n. 2*j*m**2 - 67*j Find the third derivative of -4*q**5 - 21*q**4 - 3*q**2 - 3 wrt q. -240*q**2 - 504*q Find the third derivative of -1968*b**6*p**2 - 3*b**2*p + 9*b*p**2 + 1 wrt b. -236160*b**3*p**2 Differentiate b*u + b + 15*d*u + 6*d + 9 with respect to u. b + 15*d What is the third derivative of -299*l**3 + l**2 - 44? -1794 What is the first derivative of -1536*r**3 + r**2 + 26888? -4608*r**2 + 2*r Find the first derivative of -313*q + 273. -313 What is the second derivative of 795*h**4 - 4*h + 103 wrt h? 9540*h**2 What is the second derivative of -3437*m**4 - 2*m**3 - 14*m + 24? -41244*m**2 - 12*m Find the second derivative of 2*j**2*t*x - 19*j**2*x - j*t - 87*j*x - t*x wrt j. 4*t*x - 38*x What is the second derivative of 8273*d**2*m - 15*d*m + 143*d wrt d? 16546*m Find the first derivative of 3*a**2*f**4 - 92*a**2*f + 2*a**2 + 107 wrt f. 12*a**2*f**3 - 92*a**2 What is the derivative of -72*o*t**3 - 9*o + 5*t**3 + 6 wrt t? -216*o*t**2 + 15*t**2 Find the third derivative of -4717*u**4 - 205*u**2 + 9*u. -113208*u What is the third derivative of -23*m**3*o**3 + 205*m**3*o**2 - 135*m**2*o**3 - o**3 - 6*o**2 - 2 wrt m? -138*o**3 + 1230*o**2 What is the third derivative of 3*c**5 - 6*c**3 - 265*c**2 + c wrt c? 180*c**2 - 36 What is the third derivative of -130*k**5 + k**4 - 4*k**3 - 3218*k**2? -7800*k**2 + 24*k - 24 Find the second derivative of -2*p*u**2 - p*u + 5*u**3 + 14*u**2 - 146*u wrt u. -4*p + 30*u + 28 Differentiate -1636*j**3 - 1527 with respect to j. -4908*j**2 Find the third derivative of 19*w**4 + 2*w**3 + 77*w**2. 456*w + 12 Find the first derivative of 5600*l*y**3 + 18321*y**3 wrt l. 5600*y**3 Find the first derivative of 73*g**3*t**2 - 247*g**3 - g**2*t**2 wrt t. 146*g**3*t - 2*g**2*t Differentiate -66*y**2 - 2*y - 2747 wrt y. -132*y - 2 Find the first derivative of -2*b**2*z**2 - 2*b*z**3 + 471*b + 1487*z**3 wrt b. -4*b*z**2 - 2*z**3 + 471 What is the first derivative of -49*h**2 - 155? -98*h Find the first derivative of -21*j**3 - 29*j - 3404. -63*j**2 - 29 What is the derivative of -a**2*d + 60*a**2*h + 2*a*h + 180*d*h wrt a? -2*a*d + 120*a*h + 2*h What is the first derivative of -706*b**2*r**2 - 2*b**2*r + 4433*r**2 wrt b? -1412*b*r**2 - 4*b*r Find the third derivative of -161*p**6 - 2*p**3 - 122*p**2. -19320*p**3 - 12 What is the second derivative of 99*c**5 + 2*c**2*m**2 - c*m**2 + 2*c*m + 24*m wrt c? 1980*c**3 + 4*m**2 What is the third derivative of 6*b*j**3*s**2 + 88*b*j**3 - 2*b*j**2*s**2 + 19*b*j**2*s + 2*b*j**2 + j**3*s**2 + 2*j wrt j? 36*b*s**2 + 528*b + 6*s**2 Find the third derivative of -14800*f**3*v + 10*f**2*v - 164*f*v wrt f. -88800*v Find the third derivative of -252*l**3 + 2*l**2 + 148*l wrt l. -1512 What is the second derivative of 75*v**5 - 8*v**2 - 15745*v wrt v? 1500*v**3 - 16 Find the third derivative of -h**3*n**3 + 2*h**3*n**2 - h**2*n**2 + 21*h*n**3*r - 2*h*n**2*r + 2*n**2 wrt n. -6*h**3 + 126*h*r Differentiate -4*j*m*w + j*m*z**2 + 10*j*m*z + 9*m*w*z**2 - 2*m*w + m*z**2 - 3*m wrt j. -4*m*w + m*z**2 + 10*m*z Find the second derivative of -2190*f**4*r**2 - 7*f + r**2 + 2*r wrt f. -26280*f**2*r**2 What is the derivative of 3*m*y**2 - 11*m*y - 210*m - 3*y**2 + 8 wrt y? 6*m*y - 11*m - 6*y Find the first derivative of -3*v**3 + 207*v + 2235 wrt v. -9*v**2 + 207 What is the third derivative of 20436*h**3 - h**2 - 2*h + 112 wrt h? 122616 Find the first derivative of 118*m**2*t**2 + 1134*m**2 + 19*t**2 wrt t. 236*m**2*t + 38*t Differentiate 2*c**2*o + 452*c**2 - 43*c*o - 24*o - 5 wrt o. 2*c**2 - 43*c - 24 Find the second derivative of -75*f**4*t**2 + 46*f**2*t**3 - 7*f*t**3 - 585*f*t wrt f. -900*f**2*t**2 + 92*t**3 Find the second derivative of m**5 + 86*m**4 + 261*m. 20*m**3 + 1032*m**2 Find the third derivative of 141*n**3*y**3 - 2*n**3*y**2 + n**2 + 20*n*y**3 - 4*y**2 wrt n. 846*y**3 - 12*y**2 What is the third derivative of 248*i**5 - 149*i**2 - 1 wrt i? 14880*i**2 Find the second derivative of 16*g**5 - 7*g**2*z**2 - 25*g*z**2 + 2*g*z + 2*g wrt g. 320*g**3 - 14*z**2 Differentiate -d*j**2*n + 2*d*j**2 + 2*d*j*z - 25*d*n*z + 3*j**2*n*z - 18*j**2*z wrt n. -d*j**2 - 25*d*z + 3*j**2*z What is the second derivative of -2*f**3*j - 5*f**3 - 319*f**2*j - f**2 - 4*f*j - 4321 wrt f? -12*f*j - 30*f - 638*j - 2 What is the first derivative of 10*j**4 - 56? 40*j**3 What is the third derivative of 2*k**3*w**2 - 2298*k**3 - 65*k**2 - 12*k*w**2 wrt k? 12*w**2
{ "pile_set_name": "DM Mathematics" }
Let a be 32 - (-2)/((-8)/(-12)). Factor -t**2 - a*t + 33*t + 1 + 2. -(t - 1)*(t + 3) Find l such that -7*l**2 - 4*l - 180 + 2*l**2 + 64*l = 0. 6 Suppose 0 = -v + c + 4, 0 = 3*v + 3*c - 6. Factor -2/7*s**2 + 12/7*s**4 + s**5 + 3/7*s**v + 0 + 0*s. s**2*(s + 1)**2*(7*s - 2)/7 Let m be 1/((-1)/(-14)*2). Determine b so that m - 7 + 2*b**2 = 0. 0 Solve 4/3*t**2 + 4/9 + 2/3*t**5 + 8/9*t**3 - 14/9*t - 16/9*t**4 = 0. -1, 2/3, 1 Let s(j) be the second derivative of -j**4/3 - 8*j**3/3 - 8*j**2 - 7*j. Let s(h) = 0. Calculate h. -2 Let t(f) be the first derivative of f**6/6 + 3*f**5/5 + 3*f**4/4 + f**3/3 - 6. Factor t(k). k**2*(k + 1)**3 Factor 2/9*i**2 - 4/9*i + 2/3*i**3 + 0. 2*i*(i + 1)*(3*i - 2)/9 Let j(f) = 8*f**3 + 8*f**2 - f + 5. Let q(w) = -7*w**3 - 7*w**2 + 2*w - 4. Let g(i) = -4*j(i) - 5*q(i). Factor g(k). 3*k*(k - 1)*(k + 2) Factor 27/8*w**5 + 3/8*w**2 + 0*w + 21/8*w**3 + 45/8*w**4 + 0. 3*w**2*(w + 1)*(3*w + 1)**2/8 Factor -4/7*o**3 + 0*o**4 + 0 + 2/7*o**5 + 2/7*o + 0*o**2. 2*o*(o - 1)**2*(o + 1)**2/7 Let j be (-1)/7*3*(-4)/6. Determine g, given that -6/7*g**3 - j*g + 0 + 6/7*g**2 + 2/7*g**4 = 0. 0, 1 Let d be (-1 + -11)/((-15)/(-10)). Let x be (-12)/(-45) - d/20. Factor 0 - x*y - 2/3*y**2. -2*y*(y + 1)/3 Determine s, given that -2/7*s**2 + 0 - 2/7*s = 0. -1, 0 Let r = -4 + 6. Suppose g - g + 2 - r*g**2 + 0 = 0. Calculate g. -1, 1 Let v(h) be the first derivative of h**4/8 - 29. Factor v(j). j**3/2 Let n(p) be the first derivative of -p**6/1080 + p**5/60 - p**4/8 + 2*p**3/3 - 5. Let j(o) be the third derivative of n(o). Find z, given that j(z) = 0. 3 Let d(c) be the first derivative of 0*c - 3/2*c**2 + 5/2*c**3 - 3/2*c**5 - 7/4*c**6 + 27/8*c**4 + 7. Suppose d(z) = 0. Calculate z. -1, 0, 2/7, 1 Let d = 44855 - 224973/5. Let p = d + 140. Solve -6/5*m - p - 2/5*m**3 - 6/5*m**2 = 0. -1 Let v = 19 - 19. Let l(r) be the third derivative of v*r**4 + 1/210*r**5 - 1/420*r**6 + 2*r**2 + 0*r + 0*r**3 + 0. Factor l(a). -2*a**2*(a - 1)/7 Let y = -35 - -63. Let i = y - 28. Determine s, given that 0*s - 3/4*s**4 + i - 3/4*s**2 + 3/2*s**3 = 0. 0, 1 Let s(y) = -y**3 - 5*y**2 + y + 1. Let c(x) = 2*x**3 + 11*x**2 - 3*x - 3. Let l(i) = 2*c(i) + 5*s(i). Let v be l(-3). Factor 1/2*g**v - 1/2*g + 0. g*(g - 1)/2 Suppose -3*z - 4 = 2*q, -4*z + z - 4*q = 8. Factor 0*l**4 + 0 + 1/2*l**3 - 1/2*l**5 + 0*l**2 + z*l. -l**3*(l - 1)*(l + 1)/2 Find a such that -1/3*a**2 + 0 - 1/3*a**3 + 0*a = 0. -1, 0 Factor -3 + 9*m + 5*m**2 + 3 + 3 - 17*m**2. -3*(m - 1)*(4*m + 1) Let c(r) be the first derivative of 3*r**5/20 - r + 6. Let s(m) be the first derivative of c(m). Factor s(i). 3*i**3 Let w(q) be the second derivative of -q**6/40 + 3*q**5/20 - 3*q**4/8 + q**3/2 - 3*q**2/8 - 5*q. Find s, given that w(s) = 0. 1 Let j be (-50)/(-18) - (-6)/27. Determine a, given that -j*a**5 + 2*a**4 + 4*a + a**5 - 4*a = 0. 0, 1 Let p = -199/60 - -10/3. Let s(w) be the third derivative of 0*w + 0 + 1/36*w**4 - 2*w**2 - p*w**6 + 0*w**3 - 1/45*w**5. Find k, given that s(k) = 0. -1, 0, 1/3 Let i(w) = w**3 - 3*w**2 + 2*w - 4. Let v be i(3). Factor -2*m**3 + 5*m**3 - m**2 + v*m**2 + 5*m**2. 3*m**2*(m + 2) Factor -24/7*d + 20/7 + 4/7*d**2. 4*(d - 5)*(d - 1)/7 Let j = -127 - -127. Solve j - 2/3*i**2 + 2*i = 0 for i. 0, 3 Suppose -6 = 18*y - 21*y. Factor -1/4 - 3/4*u**y - 3/4*u - 1/4*u**3. -(u + 1)**3/4 Let k(v) = 2*v**2 + 4*v + 6. Let b be k(-5). Let -5*q**4 + q**5 + b*q**3 - 24*q**2 - 3*q**5 - 13*q**4 + 5*q**5 = 0. Calculate q. 0, 2 Let n(k) = 0*k - k - 18 + 19. Let x(v) = 3*v**4 + 3*v**3 - 9*v**2 - 17*v - 4. Suppose -4*l + 0*l + 20 = 0, -3*l + 17 = s. Let a(c) = s*n(c) - x(c). Factor a(y). -3*(y - 2)*(y + 1)**3 Let t(j) be the first derivative of -j**8/560 + j**7/70 - j**6/20 + j**5/10 - j**4/8 - j**3/3 + 3. Let m(x) be the third derivative of t(x). Factor m(q). -3*(q - 1)**4 Suppose 6*x - 655 - 305 = 0. Let a = -637/4 + x. Factor 3/4*f**3 + a*f**2 - 3/4*f - 3/4. 3*(f - 1)*(f + 1)**2/4 Let s(g) be the second derivative of 3*g**5/20 - g**4/2 + g**3/2 - 7*g. Factor s(l). 3*l*(l - 1)**2 Let t(i) be the third derivative of i**8/168 - 2*i**7/105 + i**5/15 - i**4/12 + 2*i**2. Suppose t(q) = 0. What is q? -1, 0, 1 Let l(x) be the second derivative of -x**5/35 - x**4/21 + 8*x**3/21 + 8*x**2/7 - 9*x. Factor l(p). -4*(p - 2)*(p + 1)*(p + 2)/7 Suppose -4*w = 2 - 26. Determine t so that w*t + t**2 + 1 + 0 + 8 = 0. -3 Let r(x) = x**3 - x**2 - x. Let v be r(2). Determine f so that 2*f**4 - 3*f**5 + v*f**5 - 4*f**5 = 0. 0, 2/5 Let u(r) = -r**2 + 1. Let v(b) = -10*b**2 - 35*b - 25. Let f(n) = 5*u(n) - v(n). Factor f(j). 5*(j + 1)*(j + 6) Find l, given that -12/11*l**2 + 16/11 + 2/11*l**4 - 2/11*l**3 + 8/11*l = 0. -2, -1, 2 Suppose -3*m = -5*m + 2*x + 16, 3*x = -m - 8. Let y(k) be the first derivative of 0*k**4 + 1/4*k**3 + 0*k**2 - m + 0*k - 3/20*k**5. Factor y(w). -3*w**2*(w - 1)*(w + 1)/4 Let a(d) = -3*d**2 + 4*d + 2. Let v be 6/(-4) + (-45)/(-6). Let j(n) = -4*n**2 + 4*n + 2. Let f(x) = v*a(x) - 5*j(x). Suppose f(z) = 0. Calculate z. -1 Let y(k) = -2*k**2 - k + 7. Let d(m) = 2*m**2 - 6. Let a(r) = -3*d(r) - 2*y(r). Let a(x) = 0. What is x? -1, 2 Let j = 661/18 + -73/2. Let i = -8/5 + 82/45. Suppose 8/9 - 10/9*n**3 - j*n**4 + 2/9*n**2 + 16/9*n + i*n**5 = 0. What is n? -1, 2 Solve -62*h**2 + 6*h**2 + 2*h**2 + 52*h**3 - 7*h**4 - 7*h**4 + 8*h + 8 = 0 for h. -2/7, 1, 2 Let x be 2/(-13) - 1072/(-208). Let o(p) be the first derivative of 2 + 0*p - 1/6*p**3 + 1/10*p**x + 1/4*p**2 - 1/8*p**4. Let o(r) = 0. Calculate r. -1, 0, 1 Find d such that 0 + 18/7*d**4 - 4/7*d - 24/7*d**3 - 22/7*d**2 = 0. -1/3, 0, 2 Let h(r) = -r**2 + 2*r. Let z(i) = 60*i**2 + 40*i. Let p(t) = 24*h(t) - z(t). Factor p(b). -4*b*(21*b - 2) Let q(a) be the third derivative of a**8/16 - 9*a**7/70 + a**6/20 - 3*a**2. Factor q(v). 3*v**3*(v - 1)*(7*v - 2) Let f = 116/11 - 10. Let s be 3/6 - (-35)/(-110). Let -6/11*i**4 + 0*i + 0 - s*i**2 - f*i**3 - 2/11*i**5 = 0. Calculate i. -1, 0 Let w = -10 + 13. Let i(h) = -h + 8. Let v be i(5). Factor -2*c**4 + c**w - c**2 + c**4 - v*c**3. -c**2*(c + 1)**2 Let d be (-4)/(-10)*(-10)/(-12). Let l(o) be the first derivative of -o - d*o**3 - 2 - o**2. Factor l(p). -(p + 1)**2 Let o = 47/99 - 1/33. Factor -2/9 - o*f - 2/9*f**2. -2*(f + 1)**2/9 Factor 2/7*a**2 + 6/7 - 8/7*a. 2*(a - 3)*(a - 1)/7 Let s(r) be the third derivative of r**7/756 - 7*r**6/1080 + r**5/90 - 5*r**4/24 - 5*r**2. Let d(f) be the second derivative of s(f). Factor d(b). 2*(b - 1)*(5*b - 2)/3 Suppose -d**2 - 25 - 4*d - 13*d + 7*d = 0. Calculate d. -5 Factor -4*h**4 + 3*h**3 + 2*h**3 + 3*h**3 - 4*h**5. -4*h**3*(h - 1)*(h + 2) Factor -2/3*u + 0 - 4/3*u**3 - 2*u**2. -2*u*(u + 1)*(2*u + 1)/3 Suppose 0 = -2*x + 3 + 1. Find d such that 3*d**x - d**2 - d**2 + 11*d**2 - 15*d - 3*d**3 + 6 = 0. 1, 2 Let f(z) = -5*z**3 + 27*z**2 + 363*z + 1337. Let d(r) = -r**3 - r**2 + 1. Let q(o) = 6*d(o) - f(o). Factor q(c). -(c + 11)**3 Let o(c) = 6*c**4 - 6*c**2. Let q(r) = -13*r**4 + 0*r**4 + 2*r**4 + r**2 + 10*r**4. Let s(x) = o(x) + 5*q(x). Factor s(f). f**2*(f - 1)*(f + 1) Suppose 3*t - 31 = -y + 3*y, -4*y + 1 = 3*t. Let b be (-1 - t)*(-28)/144. Solve 10/9*o**2 + b*o**4 + 4/9*o**5 + 0 + 2*o**3 + 2/9*o = 0. -1, -1/2, 0 Let a(f) be the second derivative of f**6/30 - f**4/6 + f**2/2 + 3*f. Solve a(h) = 0. -1, 1 Let c(o) = -o**3 - 8*o**2 + o + 9. Let k be c(-8). Let l be k/((-9)/(-6) + -1). Factor -2/9*n**3 - 2/9 + 2/9*n**l + 2/9*n. -2*(n - 1)**2*(n + 1)/9 Let t(b) = b**2 - 7*b + 4. Let n(i) = 2*i**2 - 8*i + 5. Let j(g) = -2*n(g) + 3*t(g). Let y be j(-5). Factor -p**2 + 4*p**y + 2*p**4 + 2*p**3 - 2*p**5 - 5*p**2. -2*p**2*(p - 1)**2*(p + 1) Factor 0 - 9/7*c**3 + 9/7*c**2 + 3/7*c**4 - 3/7*c. 3*c*(c - 1)**3/7 Let t(j) = 7*j**2 + 12*j - 4. Let f(i) = -28*i**2 - 48*i + 16. Let q(c) = -6*f(c) - 22*t(c). Solve q(w) = 0 for w. -2, 2/7 Let j(p) = -p + 9. Let a be j(7). Factor g**3 - a*g**2 + g**4 + g**4 - g**4. g**2*(g - 1)*(g + 2) Factor 0*a + 1/2*a**2 + 3/4*a**5 + 0 - a**4 - 1/4*a**3. a**2*(a - 1)**2*(3*a + 2)/4 Let p(b) be the third derivative of b**7/630 - b**6/120 - b**5/90 + b**4/6 - 4*b**3/9 - 2*b**2. What is y in p(y) = 0? -2, 1, 2 Suppose -3 = -2*t + 3. Let n(m) be the first derivative of 1/2*m**2 - 2 - 4/3*m**t + 0*m + 3/4*m**4. Solve n(v) = 0. 0, 1/3, 1 Let i(n) = 3*n**2 + 19*n
{ "pile_set_name": "DM Mathematics" }
Let z be (1 + -9)/(966/(-245) + 4). Let v(y) = y**3 - 12*y**2 - 13*y - 21. Let r be v(14). Let c = z + r. What is the remainder when 342 is divided by c? 48 Let q(y) = -98*y + 2556. Calculate the remainder when q(20) is divided by 195. 11 Let h = -13 + -15. Let n = h - -34. Suppose 11*a - 63 = 245. What is the remainder when a is divided by n? 4 Let s = -24 + 20. Let c(q) = -2*q**2 - 9*q + 5. Calculate the remainder when s/6 + (-159)/(-9) is divided by c(-4). 8 Suppose 107 - 317 = -2*g. Let a(r) = 52*r**3 + 6*r**2 + 9*r + 4. Let b be a(-2). Calculate the remainder when g is divided by (6/7)/(b/(-196) + -2). 9 Suppose 207*n + 5*g = 210*n - 11, -3*g - 5 = -n. What is the remainder when 25 is divided by n? 1 Let w = 54 + -35. Calculate the remainder when (-2 + 144/60)*50 is divided by w. 1 Suppose -21*r = -17*r - 80. Let v be -36*((-16)/15 + 8/r). Let c = v + -10. What is the remainder when 52 is divided by c? 10 Let g(k) = 12*k - 5*k - k - 7*k - 1. Let l be g(-1). Let i = 34 + l. Calculate the remainder when i is divided by 5. 4 Calculate the remainder when 293 is divided by (-15 - -98) + (1 - 10). 71 Suppose 102 = -f + 3*f. Suppose -9*t + 21 = -96. Let a = t - 4. Calculate the remainder when f is divided by a. 6 Let u(f) = f**3 + 9*f**2 - 10*f - 127. What is the remainder when 448 is divided by u(-7)? 38 Let p be ((-10)/6)/(8/48). Let h = p - -3. Let y(r) = -r**3 - 9*r**2 - 17*r - 2. What is the remainder when 56 is divided by y(h)? 18 Let g = -8025 + 8383. What is the remainder when g is divided by 19? 16 Let i(f) = -2*f**3 + 26*f**2 - 28*f + 277. Let k = -114 + 174. Calculate the remainder when i(12) is divided by k. 49 Let a = -347 - -260. Calculate the remainder when 37 is divided by a/36*-3 - (-11)/(-44). 2 Let c(k) = k**3 + 6*k**2 + 3*k + 14. Let v be c(-5). Suppose m = -3*r + 15, 3*r - 2*m + 0*m = v. What is the remainder when (-2 + 1)/(3/(-33)) is divided by r? 5 Let n = 144 + -152. Let j = n + 58. Calculate the remainder when 145 is divided by j. 45 Let o = 883 + -515. Let f = o - 360. Calculate the remainder when 149 is divided by f. 5 Let i(d) = 156*d - 2. Calculate the remainder when i(1) is divided by 4/(-3)*12/(-24)*837/18. 30 Suppose 0 = 21*r + 294 - 344 - 769. Suppose 4*w + a + a - 298 = 0, a + 1 = 0. Calculate the remainder when w is divided by r. 36 Let i(f) = f + 11. Let t be i(-7). Let m be -4*(-6)/t*23. Suppose m = 32*k - 29*k. What is the remainder when k is divided by 10? 6 Let w = 1369 - 893. What is the remainder when w is divided by 16? 12 Let l(n) = -20*n - 18. Let u be l(14). Let r = 463 + u. Suppose -24 = -3*p + p. What is the remainder when r is divided by p? 9 Suppose 2364*i - 2724 = 2358*i. What is the remainder when i is divided by 117? 103 Let b = 33 + -19. Calculate the remainder when b is divided by ((-225)/180)/(2/(-8)). 4 Suppose 20*l - 8277 = 1509 + 3294. What is the remainder when l is divided by 29? 16 Let p = -4710 - -4798. What is the remainder when p is divided by 39? 10 Let y be (6/(-4) + 1)*1*0. Suppose -10*m + 4412 - 1362 = y. What is the remainder when m is divided by 18? 17 Suppose -3 = -k - 0. Let i be (0 + 2/3)*(-27)/k. Calculate the remainder when 59 is divided by ((-10)/i)/((-25)/(-6) + -4). 9 Let x be (-2 + 3 - -1)*29/2. Let u(y) = y**3 + 5*y - 7*y**2 + 13*y - x + 19 + 19*y**2. Calculate the remainder when 47 is divided by u(-10). 7 Suppose 3*i = 5*i - 326. Let g(t) = 4391*t + 52783. Calculate the remainder when i is divided by g(-12). 72 Let i = 5741 - 5472. Calculate the remainder when 3765 is divided by i. 268 Let t = -44 + 71. Calculate the remainder when (4 + 19)/((-2)/(-8)) is divided by 6/t - (-3368)/72. 45 Let r be 36/10 - (-4)/10. Suppose 8 + r = 3*q. Suppose -77 = -2636*c + 2625*c. Calculate the remainder when c is divided by q. 3 Let g(s) = -s**3 + 9*s**2 + 29*s + 6. Let u be g(9). Suppose 5*t = -3*v + 414, -v - u = -5*t + 155. What is the remainder when t is divided by 24? 12 Let a = 5852 + -5455. Calculate the remainder when a is divided by 194. 9 Suppose 330*l - 157147 = 361512 - 48409. What is the remainder when l is divided by 44? 17 Suppose 0 = -17*r - 32 - 342. Let k(d) = -4*d**3 - 90*d**2 - 44*d + 14. Calculate the remainder when 78 is divided by k(r). 8 Suppose -11*r + 15*r - 2382 = -3*g, -5*r - 4*g + 2976 = 0. What is the remainder when r is divided by 145? 20 Suppose 5*k + 0*u + 30 = -5*u, 5*k - 5*u = 20. Let q(h) = -362*h - 2130. What is the remainder when q(-6) is divided by (-1)/((2/22)/k)? 9 Suppose 2*g = 3*o - 29, -g + 3 = -4*o + 5*o. Let n = 594 - 590. Suppose -4*i - n*z + 12 = 0, -34 = -3*i + z + z. Calculate the remainder when i is divided by o. 1 Suppose 18 - 2 = 4*v. Suppose k = -3 + v. What is the remainder when k*2 + (18 - 4 - 2) is divided by 6? 2 Suppose -4*t - 25*x + 794 = -23*x, t + 5*x - 158 = 0. What is the remainder when 1234 is divided by t? 16 Let j(x) = x - 4. Let z be (16/(-20))/((-4)/30). What is the remainder when -1*75/(-12) - (-2)/(-8) is divided by j(z)? 0 Let a = 18 + 7. Suppose -5*b - y + 83 = 0, 3*b - y + 2*y - 49 = 0. Suppose 0 = -b*s + 27*s - 90. What is the remainder when a is divided by s? 7 Let j(i) = 3*i**2 - 9*i + 6. Let z be j(3). Let c be 0 - (-3)/z*4. What is the remainder when 416/14 - c*(-1)/7 is divided by 9? 3 Let i = -462 - -581. Suppose 13*k - 144 = k. Calculate the remainder when i is divided by k. 11 Let h = -1423 + 1534. What is the remainder when h is divided by 16? 15 Let v = 12 - 7. Suppose 0 = 36*y - 83*y + 41*y. Suppose 31*a - 39 = 29*a - p, y = 2*a + 4*p - 48. What is the remainder when a is divided by v? 3 Let m(g) = 2*g**3 + 21*g**2 + 15*g + 50. Let n be m(-10). Suppose -8*s - 5*u = -4*s - 247, -5*s + 2*u + 350 = n. Calculate the remainder when s is divided by 9. 5 Let s(m) = 222*m - 1185. Calculate the remainder when 753 is divided by s(7). 15 Let l(k) = 7*k**3 - 6*k**2 - 25*k - 37. What is the remainder when l(7) is divided by 24? 23 Let i = -17320 - -17604. Calculate the remainder when i is divided by 64. 28 Let i be (-114)/(-2) - (-19 + 17). Let l = 10 + i. Calculate the remainder when l is divided by 10. 9 Let w(o) = 89*o - 1674. Calculate the remainder when w(29) is divided by 3. 1 Let o be (-9)/2*(-4 - 368)/(-6). Let h = o + 347. What is the remainder when h is divided by 9? 5 Suppose 0 = -18*n + 16*n. Suppose 4*p + 20 = n, p - 88 = 4*y - 3*p. Let i = -19 - y. What is the remainder when 47 is divided by i? 7 Let a = -14267 + 14359. Suppose 5*v = 80 - 20. Calculate the remainder when a is divided by v. 8 Let x(n) = n**3 - 7*n**2 - 19*n + 14. Suppose -4*q = -2*r - 34 - 8, 5*r = -15. Calculate the remainder when 11 is divided by x(q). 1 Let z = 799 - 589. Calculate the remainder when z is divided by 37. 25 Let m(w) = w**3 - w**2 - w. Let u = 9 - 10. Let q(p) = -13*p**2 - 14*p - 15. Let s(k) = u*q(k) + m(k). Calculate the remainder when s(-10) is divided by 29. 27 Suppose 0 = 4*u + a + 2 - 5, 2*u = a + 9. Let b be 92/12*(u + 19). Let q = -120 + b. What is the remainder when q is divided by 15? 11 Let r be (-15)/5 - 40/5. Let g = 93 + r. Calculate the remainder when 571 is divided by g. 79 Suppose -4*b - 38 = -r - 0*b, 5*r = -5*b + 65. Calculate the remainder when (12 + -9 - 4) + 125 is divided by r. 16 Let n be 1 - (-820)/4 - (-26)/13. Suppose 0 = -36*m + 38*m - n. Calculate the remainder when m is divided by 18. 14 Let i = -15433 - -15534. What is the remainder when 155 is divided by i? 54 Let u(k) = -3*k - 11. Let i(a) = 5*a + 22. Let s(h) = 4*i(h) + 7*u(h). Calculate the remainder when 4 is divided by s(8). 1 Let j(m) = -m**2 - 444*m - 3869. Let h = 69 + -33. Suppose 3*v = -3*y + h, -2*v = 2*y + 2*y - 16. Calculate the remainder when j(-435) is divided by v. 14 Suppose 5852 = 72*t - 83*t. Let h = t - -552. Suppose -15 = 3*j, 134 = l - 0*l - 3*j. What is the remainder when l is divided by h? 19 Let w(t) = t**3 - 5*t**2 + 19*t - 45. Let p be w(13). What is the remainder when 40 is divided by ((-2)/(-6))/(-1) + p/126? 4 Calculate the remainder when 32 is divided by 405/10*38/57. 5 Calculate the remainder when (-63688)/(-76) - 30/2 is divided by 103. 102 Suppose 0 = -0*t - t + 17. Let y = -78 + 66. Let g = y - -61. Calculate the remainder when g is divided by t. 15 Let f(y) = -11*y**2 + 10*y + 5. Let p be
{ "pile_set_name": "DM Mathematics" }
, 2, 116, 13, 4 in decreasing order. 116, 13, 4, 2, -0.1 Sort -4, 1, 16807. -4, 1, 16807 Sort 0.3, 3, -6.23 in descending order. 3, 0.3, -6.23 Sort -4, -12, -3, 7592 in increasing order. -12, -4, -3, 7592 Sort -0.05, 1/4, 1870, -7 in decreasing order. 1870, 1/4, -0.05, -7 Sort -2/6637, 1/5, 1, -0.5, -18 in increasing order. -18, -0.5, -2/6637, 1/5, 1 Sort 4, -11, 563, 33. -11, 4, 33, 563 Put 0.5, -10, 1, 0, 11, -0.32 in descending order. 11, 1, 0.5, 0, -0.32, -10 Sort 5, 17, 11495. 5, 17, 11495 Sort -4, 7, 0, 13, 69 in descending order. 69, 13, 7, 0, -4 Sort 0.2, -2, 0.4, -0.2, -90096/5. -90096/5, -2, -0.2, 0.2, 0.4 Put -7, -4, 5, 966, 1, 4 in decreasing order. 966, 5, 4, 1, -4, -7 Sort -5, 0, -2256 in ascending order. -2256, -5, 0 Put -6, -3, -4, -1, -5 in descending order. -1, -3, -4, -5, -6 Put 0, -2, -1524, 1 in ascending order. -1524, -2, 0, 1 Put 21, -3, -5, 3, -23, -1 in ascending order. -23, -5, -3, -1, 3, 21 Put -4, 386608, 3 in ascending order. -4, 3, 386608 Put -10, 688, -1 in increasing order. -10, -1, 688 Sort 7, 685, 47, 1, 5. 1, 5, 7, 47, 685 Sort -1188.46, 0.4, 3/2, 4. -1188.46, 0.4, 3/2, 4 Sort -711, 1/2, -0.4, 126 in increasing order. -711, -0.4, 1/2, 126 Sort 936, 3, -3/10, -0.7. -0.7, -3/10, 3, 936 Sort 3, 80, 17, 457 in ascending order. 3, 17, 80, 457 Sort 5, 2, 3, -55, 18, 12 in descending order. 18, 12, 5, 3, 2, -55 Put -0.5, 0.05, 40, 11, -3/7 in increasing order. -0.5, -3/7, 0.05, 11, 40 Sort 4, -1, 7, -2971 in descending order. 7, 4, -1, -2971 Sort 55, 2, -2, -709, 1, -1. -709, -2, -1, 1, 2, 55 Put 9, 65, 1/11, -3 in decreasing order. 65, 9, 1/11, -3 Sort -1, 1100, -11, -2 in ascending order. -11, -2, -1, 1100 Sort 3, 27, -16, 0, 65. -16, 0, 3, 27, 65 Put -0.15, 62, -4, 0.3, 7 in decreasing order. 62, 7, 0.3, -0.15, -4 Sort 5, 39, 26, 2 in increasing order. 2, 5, 26, 39 Sort -19, -22, 1620. -22, -19, 1620 Sort 2, -227, -82 in decreasing order. 2, -82, -227 Put 42, -16, -39 in increasing order. -39, -16, 42 Put 74, -1, 4, 7 in descending order. 74, 7, 4, -1 Sort -1, 2, 0, -5, -4, 20856 in increasing order. -5, -4, -1, 0, 2, 20856 Sort -2/7, -0.00374, 1 in ascending order. -2/7, -0.00374, 1 Sort 0, 20234, 4, 1 in decreasing order. 20234, 4, 1, 0 Sort 1, -710, -1, -5, 13 in decreasing order. 13, 1, -1, -5, -710 Put -0.9, 0, 77625, -5 in increasing order. -5, -0.9, 0, 77625 Put -5, 3, -6750, -9 in descending order. 3, -5, -9, -6750 Sort 5, -0.5, -2/23, -12, -4, 1/2 in decreasing order. 5, 1/2, -2/23, -0.5, -4, -12 Sort -3, -1/2, -2, 1, -2/9, -0.01 in increasing order. -3, -2, -1/2, -2/9, -0.01, 1 Put 1, -94, -1, -5, 549, 0 in decreasing order. 549, 1, 0, -1, -5, -94 Sort 1, -3, -52892 in descending order. 1, -3, -52892 Put 519, -1, -40 in descending order. 519, -1, -40 Sort 18, 403, -5 in descending order. 403, 18, -5 Sort 0.2, -0.1, -1.3, 7, 279. -1.3, -0.1, 0.2, 7, 279 Sort 0.2, 3/5, -4, 7 in ascending order. -4, 0.2, 3/5, 7 Sort -2, 2, 5, 16471 in descending order. 16471, 5, 2, -2 Put -11, 0, -0.5, -2 in descending order. 0, -0.5, -2, -11 Sort 11, 6/5, 4/7, -453. -453, 4/7, 6/5, 11 Sort -218, -29, 38 in increasing order. -218, -29, 38 Sort -2, -121, 53, -21, -2/5, -1. -121, -21, -2, -1, -2/5, 53 Sort 0.5, 30.29, -20, -13, 1 in ascending order. -20, -13, 0.5, 1, 30.29 Sort -1, -24, 5, -5, 1016, -2. -24, -5, -2, -1, 5, 1016 Sort 1, 0.07, -5, -0.4, 17. -5, -0.4, 0.07, 1, 17 Sort -0.4, -2/159, 7, -29, -5, 3/7 in descending order. 7, 3/7, -2/159, -0.4, -5, -29 Sort 2/13, -22, -4, 13874. -22, -4, 2/13, 13874 Sort -184, -11, -273 in ascending order. -273, -184, -11 Sort 1, -146, -5 in increasing order. -146, -5, 1 Put -2, 32, -25 in decreasing order. 32, -2, -25 Sort -2, 0, -43, -305 in descending order. 0, -2, -43, -305 Put -2/1855, 3, 0.033, -5 in decreasing order. 3, 0.033, -2/1855, -5 Sort -1, 1, -7, -8, -1/9, -0.29 in descending order. 1, -1/9, -0.29, -1, -7, -8 Sort -17, 5, -5, -2, 22, -29 in decreasing order. 22, 5, -2, -5, -17, -29 Sort -31, 0, 5, 32, -24, 1 in ascending order. -31, -24, 0, 1, 5, 32 Put 3, 0, 3/76 in descending order. 3, 3/76, 0 Sort 9, 3007, 12 in decreasing order. 3007, 12, 9 Sort -117, 19, -0.2, 4, 0.2 in descending order. 19, 4, 0.2, -0.2, -117 Sort 15, -2, 5, -8. -8, -2, 5, 15 Sort 749, 0.2, 2 in descending order. 749, 2, 0.2 Put -57888, 0, 1/3 in decreasing order. 1/3, 0, -57888 Put 50.04, 3, -30 in ascending order. -30, 3, 50.04 Put 0, -2/11, 2559 in increasing order. -2/11, 0, 2559 Sort 4/5, -51, -1, -4, -6. -51, -6, -4, -1, 4/5 Put 0, -5, 58, -1312, -2, -3 in decreasing order. 58, 0, -2, -3, -5, -1312 Sort -124, -2/3, 604, -2/15. -124, -2/3, -2/15, 604 Put 131, -2, 4, -4, 5 in descending order. 131, 5, 4, -2, -4 Put -5, -71, -0.4, -19, 0.2 in increasing order. -71, -19, -5, -0.4, 0.2 Put 31, -19633, -4 in decreasing order. 31, -4, -19633 Put -15, 3, 2, 43, 1, -6 in ascending order. -15, -6, 1, 2, 3, 43 Sort -43/3, 469, -6/5 in increasing order. -43/3, -6/5, 469 Sort -492, 1, -10, -7 in decreasing order. 1, -7, -10, -492 Sort 10, 55, -81. -81, 10, 55 Sort 9, -5, -20, 21, -1, -2 in increasing order. -20, -5, -2, -1, 9, 21 Put 2, -1, -5, 8, 220, 5 in decreasing order. 220, 8, 5, 2, -1, -5 Sort 2.311, 0.134, 3 in increasing order. 0.134, 2.311, 3 Put 136, -27, 0, 2, -3, -30 in descending order. 136, 2, 0, -3, -27, -30 Put -5, 4, 2055, 101, 3 in ascending order. -5, 3, 4, 101, 2055 Put -1, -78, 2, 0, 4 in ascending order. -78, -1, 0, 2, 4 Put 4, -50, -1, -11 in ascending order. -50, -11, -1, 4 Sort 4, 251/2, 1/6, 2/15. 2/15, 1/6, 4, 251/2 Sort 3, 1191, 5, -1 in descending order. 1191, 5, 3, -1 Put -2, -38, 1, 2, 50, 3 in descending order. 50, 3, 2, 1, -2, -38 Put 1/5, -2/27, -4, -11, -1/3, 0.1 in decreasing order. 1/5, 0.1, -2/27, -1/3, -4, -11 Put -0.05, -5, -2, 3/4, -89 in decreasing order. 3/4, -0.05, -2, -5, -89 Put 0, -0.224, -0.08, 1.5, 5, -4 in ascending order. -4, -0.224, -0.08, 0, 1.5, 5 Sort -4, 4, 5002, 3, 1 in increasing order. -4, 1, 3, 4, 5002 Sort 2, -5, -2152 in descending order. 2, -5, -2152 Put 80, -27, -34, 5 in ascending order. -34, -27, 5, 80 Sort -36, -3, -5, -133, 0 in increasing order. -133, -36, -5, -3, 0 Sort 36, 3, -4, -17, -2, 1 in decreasing order. 36, 3, 1, -2, -4, -17 Put 2/1249, -3/4, 64, -12 in descending order. 64, 2/1249, -3/4, -12 Put 591, 0.6, -0.8 in increasing order. -0.8, 0.6, 591 Sort -60, 0.05, 7 in decreasing order. 7, 0.05, -60 Put 14, -1/3, 0.4, 0.5, 5 in decreasing order. 14, 5, 0.5, 0.4, -1/3 Put -5, -2/13, 0.6, -1/4 in descending order. 0.6, -2/13, -1/4, -5 Sort 3, 2, -1, 6, 4, 25. -1, 2, 3, 4, 6, 25 Put -25, -546, -4, -5, -1 in decreasing order. -1, -4, -5, -25, -546 Sort 4, -6/31, -0.3, -120 in decreasing order. 4, -6/31, -0.3, -120 Sort 5, 2, 6, 1, -26, -4. -26, -4, 1, 2, 5, 6 Sort -4, -37, 3/2, 8, -3/2. -37, -4, -3/2, 3/2, 8 Put -1685, -4, -0.0132 in increasing order. -1685, -4, -0.0132 Put -2, 1, -1, -14 in increasing order. -14, -2, -1, 1 Put 282, -2, -4, 4 in increasing order. -4, -2, 4, 282 Put -6, 1, -5, -112 in increasing order. -112, -6, -5, 1 Sort -1.6, 1, -0.5, -23/6 in decreasing order. 1, -0.5, -1.6, -23/6 Put 5, 76/7, 3, -1, -5, 0.3 in increasing order. -5, -1, 0.3, 3, 5, 76/7 Put -3, 522, -5, -8 in ascending order. -8, -5, -3, 522 Sort 10, -2, 4, 5561 in decreasing order. 5561, 10, 4, -2 Sort 2/37, 9, 0.3, 409. 2/37, 0.3, 9, 409 Sort -4, 1, 11, -1, -561 in descending order. 11, 1, -1, -4, -561 Sort -2, 77729, 12 in increasing order. -2, 12, 77729 Put 3, -1/2, 21, -2/5, 46 in descending order. 46, 21, 3, -2/5, -1/2 Put -5, -2, 314.325 in decreasing order. 314.325, -2, -5 Sort 2, -1/7, -1, 192 in increasing order. -1, -1/7, 2, 192 Sort -60, 1, 58 in increasing order. -60, 1, 58 Sort 3, -4, 0, -5, -404, -6 in descending order. 3, 0, -4, -5, -6, -404 Sort 62, 1, 19, 0, 34. 0, 1, 19, 34, 62 Put -14, 4, 29 in decreasing order. 29, 4, -14 Sort 129, -9, 2 in decreasing order. 129, 2, -9 Put -3, 1, -12/11, 0.03, -9 in increasing order. -9, -3, -12/11, 0.03, 1 Sort 3, 15, -3/2, -774. -774, -3/2, 3, 15 Put -5, -424, -39 in descending order. -5, -39, -424 Sort 1/8, 22601, -25 in decreasing order. 22601, 1/8, -25 Put 5, 6, -5, 36, -75 in ascending order. -75, -5, 5, 6, 36 Sort -526, -1, 2 in decreasing order. 2, -1, -526 Sort -13, 236, -1/3,
{ "pile_set_name": "DM Mathematics" }
9 rounded to the nearest one hundred? -2800 What is 7385413.8 rounded to the nearest one million? 7000000 Round -21.91784 to two decimal places. -21.92 Round 98.9726 to 1 dp. 99 What is 9.850277 rounded to 1 decimal place? 9.9 Round 18583710 to the nearest 1000000. 19000000 Round 194482.2 to the nearest 10000. 190000 What is -5.007903 rounded to the nearest integer? -5 What is -0.00000810328 rounded to seven decimal places? -0.0000081 Round -0.0000013619 to seven decimal places. -0.0000014 What is 0.0001011145 rounded to six dps? 0.000101 What is -0.000840676 rounded to 6 decimal places? -0.000841 Round -0.1279593 to three dps. -0.128 Round -0.000623789 to four dps. -0.0006 What is 43.37452 rounded to one decimal place? 43.4 What is -5564.85 rounded to the nearest 1000? -6000 Round -39.3272 to the nearest 10. -40 What is -4053.327 rounded to the nearest integer? -4053 What is -0.0196955 rounded to 3 decimal places? -0.02 Round -1936730 to the nearest ten thousand. -1940000 What is 0.000005256489 rounded to 7 decimal places? 0.0000053 Round -0.015392381 to 3 dps. -0.015 What is -2373.5296 rounded to the nearest integer? -2374 What is 0.00043217 rounded to 3 dps? 0 Round -0.00892245 to 5 decimal places. -0.00892 Round 306885.44 to the nearest one hundred thousand. 300000 Round -0.000044196881 to 6 dps. -0.000044 Round -0.310081 to one dp. -0.3 Round 0.0000109922415 to 6 decimal places. 0.000011 What is 61.3075 rounded to the nearest ten? 60 Round -7.43962 to two decimal places. -7.44 What is -3.261233 rounded to 1 decimal place? -3.3 What is 0.0002515946 rounded to 6 dps? 0.000252 Round -18099770 to the nearest ten thousand. -18100000 Round 809.193 to the nearest 10. 810 What is 14.3717 rounded to the nearest integer? 14 Round -237489 to the nearest 1000. -237000 Round 0.0000003607842 to seven dps. 0.0000004 What is 5504.55 rounded to the nearest integer? 5505 Round 397.0503 to the nearest 10. 400 Round 0.00023856231 to 5 decimal places. 0.00024 What is -0.001762486 rounded to 4 dps? -0.0018 Round 0.01740104 to 4 decimal places. 0.0174 What is 0.0261587 rounded to three decimal places? 0.026 What is -4464.7668 rounded to the nearest 100? -4500 Round 8279130 to the nearest one thousand. 8279000 Round -63.66257 to the nearest integer. -64 Round 35380.794 to the nearest one hundred. 35400 Round -0.0524737 to three decimal places. -0.052 What is 0.0005700719 rounded to seven decimal places? 0.0005701 Round 50271867 to the nearest 100000. 50300000 What is -12866.2 rounded to the nearest one hundred? -12900 What is -0.0000021429 rounded to 6 dps? -0.000002 What is -0.000132923 rounded to six dps? -0.000133 Round 4317920 to the nearest one hundred thousand. 4300000 Round 0.01198126 to three dps. 0.012 Round -0.0003088008 to six decimal places. -0.000309 What is 0.00003070624 rounded to five decimal places? 0.00003 Round 4.695166 to two dps. 4.7 Round 415.7588 to the nearest one hundred. 400 What is 0.0000132788 rounded to 7 dps? 0.0000133 What is -1312000 rounded to the nearest 10000? -1310000 Round -0.0001434427 to 6 decimal places. -0.000143 What is 24107300 rounded to the nearest one million? 24000000 Round -15574630 to the nearest 1000000. -16000000 What is 276.61759 rounded to one decimal place? 276.6 What is -0.0000148811 rounded to seven decimal places? -0.0000149 Round 20.112 to 1 decimal place. 20.1 What is -115.441 rounded to 1 dp? -115.4 Round 516.40563 to the nearest integer. 516 What is 0.0000698886 rounded to five dps? 0.00007 Round 0.00004657209 to 7 decimal places. 0.0000466 Round 3032060 to the nearest one thousand. 3032000 Round 0.000015188593 to 6 decimal places. 0.000015 What is -94043.1 rounded to the nearest one hundred? -94000 What is -15.602219 rounded to two dps? -15.6 Round 236.0159 to the nearest integer. 236 What is 0.00000498363 rounded to 6 dps? 0.000005 Round 1.1481911 to three decimal places. 1.148 What is -0.00005615424 rounded to six dps? -0.000056 What is 43023560 rounded to the nearest ten thousand? 43020000 What is 0.0012299795 rounded to four dps? 0.0012 What is -1.94069 rounded to two dps? -1.94 Round -0.00733623 to 5 dps. -0.00734 Round -0.01447692 to five dps. -0.01448 Round -0.341234 to one decimal place. -0.3 Round -0.00000193694 to 7 decimal places. -0.0000019 Round 87130.4 to the nearest 100000. 100000 Round -4741.0042 to the nearest integer. -4741 Round -0.0344377 to 2 dps. -0.03 Round -0.00032808 to 5 dps. -0.00033 Round 0.01755841 to 4 dps. 0.0176 What is 0.127667 rounded to 2 dps? 0.13 Round 1966652 to the nearest ten thousand. 1970000 Round -146.9195 to zero decimal places. -147 Round 2410.26 to the nearest 10. 2410 Round 21548.17 to the nearest ten. 21550 Round -3.386949 to 3 dps. -3.387 Round -233.75443 to one dp. -233.8 Round 5945536 to the nearest 1000000. 6000000 What is -0.000432115 rounded to four dps? -0.0004 Round -0.00000696565 to 7 dps. -0.000007 Round 872.467 to the nearest integer. 872 Round -0.010274038 to 6 dps. -0.010274 What is -0.0002302602 rounded to six decimal places? -0.00023 What is -106963400 rounded to the nearest one hundred thousand? -107000000 Round -0.0000003603 to six dps. 0 Round 0.000001264706 to 7 decimal places. 0.0000013 Round 503301500 to the nearest 1000000. 503000000 Round 653.13 to the nearest one hundred. 700 Round -833983 to the nearest one thousand. -834000 Round 3942778000 to the nearest one million. 3943000000 Round 17.3792 to 0 decimal places. 17 What is 7530.65 rounded to the nearest one hundred? 7500 Round -8009.46 to the nearest one thousand. -8000 What is -223019.4 rounded to the nearest one hundred thousand? -200000 Round -0.395265 to one decimal place. -0.4 What is -44.9168 rounded to the nearest ten? -40 What is 13.10848 rounded to two dps? 13.11 Round -539370500 to the nearest one million. -539000000 Round -774150 to the nearest ten thousand. -770000 Round -1414.669 to the nearest ten. -1410 What is -27933200 rounded to the nearest one hundred thousand? -27900000 Round 0.0188634 to 3 decimal places. 0.019 What is -0.89953 rounded to three decimal places? -0.9 Round -0.05433817 to five dps. -0.05434 Round -0.13826191 to two dps. -0.14 What is -2403.64 rounded to the nearest 1000? -2000 What is -91438.5 rounded to the nearest one thousand? -91000 What is 233173710 rounded to the nearest 1000000? 233000000 Round -0.00001048542 to 6 dps. -0.00001 What is 0.000893422 rounded to 4 decimal places? 0.0009 What is 841.769 rounded to the nearest 100? 800 What is 38.37001 rounded to one decimal place? 38.4 Round 1457850 to the nearest 100000. 1500000 Round -6694560 to the nearest one million. -7000000 Round 12301.51 to the nearest 1000. 12000 Round 117674000 to the nearest one million. 118000000 Round 426.7369 to the nearest 10. 430 What is -0.0000058050475 rounded to seven dps? -0.0000058 What is -0.13707866 rounded to three dps? -0.137 Round -0.074189 to three decimal places. -0.074 What is -9617.81 rounded to the nearest one thousand? -10000 Round 489830.3 to the nearest ten thousand. 490000 Round 31.9752 to 0 dps. 32 Round -6026.585 to the nearest 100. -6000 Round -11670.75 to the nearest one hundred. -11700 What is 459.39111 rounded to the nearest one hundred? 500 Round -63645.2 to the nearest 100. -63600 What is -0.000149835 rounded to 7 dps? -0.0001498 Round 310085.9 to the nearest 100. 310100 Round -1376539.9 to the nearest 100000. -1400000 What is -81.726 rounded to the nearest integer? -82 What is -1324.957 rounded to the nearest 100? -1300 What is -362835 rounded to the nearest ten thousand? -360000 Round 0.11544428 to 5 decimal places. 0.11544 Round 68295 to the nearest 1000. 68000 Round 0.000002874208 to 7 decimal places. 0.0000029 What is 111.11262 rounded to 1 dp? 111.1 What is 76177.03 rounded to the nearest 100? 76200 Round -0.0219756 to 3 dps. -0.022 Round -0.0045984 to 5 dps. -0.0046 What is -0.002649096 rounded to 4 dps? -0.0026 What is -2.149959 rounded to 1 decimal place? -2.1 What is 15.236274 rounded to one decimal place? 15.2 What is -28.0146 rounded to one decimal place? -28 What is -0.006386186 rounded to 5 dps? -0.00639 What is -0.02657874 rounded to three decimal places? -0.027 Round 1859050 to the nearest 100000. 1900000 What i
{ "pile_set_name": "DM Mathematics" }
, 1/6, 0.4? 1/6 Which is the nearest to 0.07? (a) 0.15 (b) -0.1 (c) 1 (d) -7/6 (e) -0.5 a What is the closest to -0.22 in -27, -0.282, -3/2? -0.282 Which is the closest to -8? (a) -2 (b) -70/13043 (c) 4 (d) 2/5 a Which is the nearest to 0.2? (a) 6 (b) 484/3 (c) -5 (d) -873 (e) 2 e What is the nearest to 2 in 2, 2/3, 11/5, -11, 2769? 2 What is the nearest to 2 in -110, 13, 2/7, 0.07, -5? 2/7 What is the nearest to -0.1 in 936, -7591, -2/13, -2? -2/13 What is the closest to 2 in 38/33, -4, -3, 1/6, -3/7? 38/33 What is the closest to -2/5 in -166, -31, -0.2, -6, 1? -0.2 Which is the nearest to -1/4? (a) -0.009 (b) 0 (c) -2 (d) 231/2 (e) 1/4 a What is the closest to -4 in -6.7, -0.04, -8, 6? -6.7 Which is the closest to 0.1? (a) 2 (b) 2/13 (c) 89 (d) 0.05698 (e) 0.03 d Which is the nearest to 4? (a) 0.1 (b) 0.3 (c) -178 (d) -47.8 b Which is the nearest to -1? (a) 0.02 (b) -2 (c) 4/223 (d) 93 b What is the closest to 2.282 in -0.6, 6, -5? -0.6 Which is the nearest to 99? (a) -10 (b) -11 (c) -2/5 (d) 1/6 (e) 0 d What is the nearest to -0.2 in 5/38, 5, 29, 1? 5/38 What is the nearest to 5010 in 1/42, 20, -2/9, 2, 0.3? 20 Which is the closest to -0.4? (a) 1/6 (b) 0.2882 (c) 8.8 a What is the nearest to 0 in -6, 2, 4/311, -0.03, -236? 4/311 Which is the closest to 27? (a) 500 (b) -0.3 (c) 242 (d) -1 b What is the closest to 2/5 in 12/13, 4/5, -0.3, -2, -0.1, 12497? 4/5 What is the closest to -2/5795 in 0.4, 0, 9, 4? 0 What is the nearest to -1 in -0.4, 1, 5/8, -0.2, 48443, 2? -0.4 Which is the closest to 2/7? (a) -1/3 (b) 51272 (c) -1 (d) -0.04 d What is the nearest to 6447 in -0.5, -4/41, 1, 0.1, 2? 2 What is the closest to 0.413 in 3, -4, 4/5, -10, 5/4, -2? 4/5 Which is the closest to -2? (a) -255 (b) 4 (c) -7/3 c Which is the closest to -0.327? (a) -12 (b) -3/2 (c) -8 (d) -3/5 d What is the nearest to -0.1 in 0.8, -4, -35, -2/5, 0, 1.822? 0 Which is the closest to 8/16567? (a) 3 (b) 2/25 (c) 0.5 b Which is the closest to 18? (a) -0.01 (b) -2/7 (c) -4 (d) 72 (e) -0.05 a Which is the closest to 1? (a) 25/2 (b) -701 (c) -4 (d) 212 c Which is the closest to 0.37? (a) 0.1 (b) 2/13 (c) 4998 (d) -1 (e) 0.2 e What is the closest to 117 in -4, 26, -0.7? 26 Which is the closest to -2/5? (a) 0.5 (b) -5/19 (c) -22 (d) -58 (e) 3/5 b Which is the closest to -1886? (a) -4 (b) 887 (c) -0.4 a What is the nearest to 3310/3 in -3, -31, -3/2? -3/2 Which is the closest to 3/848? (a) -0.04 (b) 2.2 (c) 3/17 a Which is the closest to -26? (a) -2 (b) -2.2 (c) 13 (d) 3 (e) -11 (f) 1 e What is the closest to 0.3 in 1, 0.3, 0.1, 0, -121.2? 0.3 What is the closest to 2/3 in 4, 179/50, 62? 179/50 Which is the nearest to -11/2? (a) -0.206 (b) -0.014 (c) -6 c What is the closest to -3/4 in -3, 37529, 4, 5? -3 Which is the closest to 17? (a) 0.04 (b) 5 (c) 497 (d) 0.4 b Which is the closest to -11? (a) 1 (b) -6 (c) -0.09 (d) -58 (e) -6/19 (f) -3 b Which is the closest to -1? (a) 0.2 (b) -3 (c) 11/26 (d) -2/15 (e) 3/167 d Which is the closest to 2/5? (a) -37.7 (b) 0.02 (c) -8/17 (d) -2 b What is the nearest to 0.06 in 0.4, -2/13, -3/5, 0.2, -1/15, 3/52? 3/52 Which is the closest to 1/28? (a) 2 (b) 0.2 (c) -2 (d) 17352 b What is the closest to 2/3 in -1, 392, 1/44? 1/44 Which is the nearest to -0.6? (a) 9/8 (b) 2 (c) 165 a Which is the closest to 23/423? (a) -16 (b) -1 (c) 2/13 (d) -1/3 c What is the nearest to 1 in -1/5, 2, 0.4, -30798, 1? 1 What is the closest to 6 in 1/2, -9, 3/4, -10797? 3/4 What is the closest to -2/11 in 2, -0.16, -22690? -0.16 Which is the closest to -0.1? (a) 39 (b) -586 (c) 2/3 (d) -1/8 (e) 3 d What is the closest to -4 in -28838, -1, 0.15? -1 What is the nearest to -0.009 in 0.3, 230, -2, -15/16? 0.3 What is the closest to 14 in -0.007, 5, -10.922, -0.5? 5 What is the closest to -0.019 in 0.3, -3, -1614/11? 0.3 What is the nearest to -2/5 in -46, -2/11, 0.02, -8, 6/7? -2/11 What is the nearest to -4.51 in 0.114, 0.2, 1/34, -2/7? -2/7 What is the closest to 0.09 in 5, 16, -43, -8/3? -8/3 Which is the nearest to 1? (a) -13 (b) -1 (c) 20 (d) 7 (e) -0.1 e Which is the nearest to -3? (a) -1665477/10 (b) 1/3 (c) 0.2 (d) 2 c What is the nearest to -24 in -0.5, 1/2, -3, 2, 620? -3 Which is the closest to -14? (a) 83/5 (b) -1/30 (c) -11/9 c What is the nearest to 1 in 0.7, 0.5, 0.3, 0.1204, 1/16, -5? 0.7 Which is the nearest to 0.3? (a) 35 (b) 207.75 (c) -5 (d) 0 (e) 1/4 e What is the nearest to -1 in 0.1, -2/9, -2/5, -1, -1/278394? -1 What is the nearest to 2/35 in -2/1765, 0.5, 0.05, -8? 0.05 What is the closest to -13 in -1/4, -1, 1, -6682? -1 What is the closest to 3 in 1, -0.5, -3, -5, -69, -903? 1 Which is the nearest to -8? (a) 94 (b) 0 (c) -1/2 (d) -3947/2 c Which is the nearest to 1/4? (a) -3292 (b) 5 (c) -12 b Which is the nearest to 1.079? (a) 100 (b) 6/17 (c) -2/3 b Which is the closest to -0.097? (a) 1 (b) 1.1 (c) 2/5 (d) -6 (e) 0 (f) 1.47 e What is the closest to 5/7 in -1, -2, -1/4, 1.7419, -0.1? -0.1 Which is the closest to 0.1? (a) -4 (b) 0.06 (c) -51 (d) -92 (e) -1 b Which is the closest to -3/4? (a) -1 (b) -1.237 (c) -0.4 (d) 1/199 a What is the closest to 0.03348 in 3/4, -4, 34, -3, 1/5, 20? 1/5 What is the nearest to 2/7 in -5/9, 18, -2, -2/11, 1/18? 1/18 Which is the nearest to -0.05808? (a) -5 (b) -575 (c) -3 c What is the closest to 0.0311 in -3, 4/23, -2, 6, 3/2? 4/23 Which is the closest to -7? (a) 15 (b) -19 (c) -4/25 (d) 2/21 (e) -0.2 (f) 0.2 e What is the closest to -14 in -1.1, 1, 8, -40, 1/2? -1.1 Which is the closest to -3? (a) -1/4 (b) 0.4 (c) 0.5 (d) -2 (e) -1.520841 d Which is the nearest to -2/3? (a) 17 (b) -2 (c) 2149/9 (d) -0.5 (e) 4 d What is the nearest to 43 in -0.45, -0.2, 0.037, 4, -2? 4 What is the closest to -1/7 in 1/3, -216951, 12? 1/3 What is the closest to 40/13 in 4/7, 0.5, 5, -1/3, 28? 5 What is the nearest to -1 in -2, 2, -2/17, -141/5, 4? -2/17 What is the closest to 5 in 2, -9/7, 3, 6.3, -11, -2? 6.3 Which is the nearest to -4520/3? (a) 3 (b) -1 (c) 10 (d) -14 d What is the nearest to 0.2 in -1, -6893, 15, 13, 11? -1 What is the closest to 2 in 6, -11, -12, 0.125? 0.125 What is the closest to 73/10 in 0, 0.03, 1, -11? 1 What is the nearest to 1/6 in -12976, 1, -8/3? 1 What is the nearest to -0.03 in -3/65, -1, -7, -221, -0.2? -3/65 What is the nearest to -0.3 in 15/11, -33, 140, -0.1? -0.1 What is the nearest to 0.164936 in 4, 2/11, 1/19? 2/11 Which is the nearest to -0.016? (a) 1/2 (b) -3/4 (c) 85530 a Which is the nearest to -1? (a) 4 (b) -3 (c) 45 (d) -1/94 d What is the nearest to -1 in 1.3, -0.06, 3/5, -9? -0.06 Which is the closest to 74? (a) -2 (b) -7 (c) -3 (d) 2/9 (e) -3/10 d Which is the nearest to 56? (a) 0.3 (b) 2/7 (c) -2 (d) -8 (e) 8/51 a Which is the closest to -26? (a) 2/13 (b) -8 (c) 5 (d) 77 (e) -1 (f) -2 b What is the closest to -0.19 in 0.4, 76270, -4? 0.4 What is the closest to 0.3 in 6, -2/9, 13436, 2/5? 2/5 Which is the nearest to 1? (a) -21.15 (b) 0.022 (c) -3 (d) 0.5 (e) 0 d Which is the closest to -0.1? (a) -0.1567 (b) -14 (c) -1/12 (d) 6 (e) 0.3 c What is the closest to -0.165 in 3, 117, 1/2, -7, -2/3? -2/3 What is the closest to 11 in 0.4, 0.02, 2/11, 545, 4? 4 Which is the closest to 2/13? (a) 0.01 (b) -0.5 (c) -1 (d) 3 (e) -49/122 (f) -3 a Which is the closest to -2/33? (a) -3/4 (b) 2062 (c) 4 (d) -233 (e) -4 a Which is the nearest to 2/3? (a) 204 (b) 9 (c) 0.003 (d) 13 (e) -1 c Which is the nearest to -31? (a) 4/417 (b) 8 (c) 1.4 a Which is the nearest to -0.1? (a) -5 (b) 2/11 (c) -11/277 (d) 0.2 c Which is the nearest to -2/7? (a) -1 (b) 16.382 (c) -76 (d) -4/3 (e) 3 (f) 1/4 f Which is the closest to -63? (a) 2 (b) 0 (c) -0.18 (d) 0.498 c Which is the closest to 1? (a) -1/8 (b) 18 (c) -5 (d) 110 a What is the nearest to 1 in -5, 1801/5, -4, -1/4? -1/4 What is the closest to 1/3 in -2, 1/3, 0.162, 58/5? 1/3 What is the nearest to 9 in 2/7, 0.3, -3.3, -0.273, -4? 0.3 What is the closest to -1 in -0.2, 1/443, 0.08, 746, 0.04, -0.5? -0.5 What is the nearest to 0 in 64653, 2/21, 4, 0.3, -0.11? 2/21 Which is the closest to 4.
{ "pile_set_name": "DM Mathematics" }
emainder when c is divided by a. 49 Suppose 20*t = 1532 + 1008. Calculate the remainder when t is divided by 38. 13 Let n(k) = 10*k + 10. Let s be n(-3). Let b = 0 - s. Calculate the remainder when ((-3)/2)/(6/(-152)) is divided by b. 18 Let o(s) = 13*s - 11. Let f be o(-12). Let k = 249 + f. What is the remainder when k is divided by 12? 10 Suppose 0*m = m + 5*i + 2, 8 = 3*m + i. Let n = m + 86. Suppose -18 + 41 = w. Calculate the remainder when n is divided by w. 20 Let p(q) be the third derivative of q**4/24 + 5*q**3/2 + 6*q**2. Calculate the remainder when p(-5) is divided by 3. 1 What is the remainder when 214 - 0/(18/6 + -4) is divided by 54? 52 Calculate the remainder when 123 is divided by (-1 + (-31)/2)*(-64)/24. 35 Let x = 8 + 22. Suppose -2*p - p + x = 0. Calculate the remainder when 38 is divided by p. 8 Let g be (-3)/7 + (-24)/(-7). Suppose 2 = w - g. What is the remainder when w is divided by 4? 1 Suppose 8*i - 7*i - 5*b = 43, -2*b = 5*i - 80. What is the remainder when ((-16)/6)/(2/(-48)) is divided by i? 10 Suppose -127*v = -140*v + 1261. Calculate the remainder when v is divided by 52. 45 Let w be 12*((-1)/1 - 14/(-8)). Let y be ((-1)/3)/(4/(-36)). Suppose 0 = -2*i + y + w. What is the remainder when 20 is divided by i? 2 Let g(y) = 8*y**3 - 3*y**2 - 3*y - 11. Calculate the remainder when g(3) is divided by 17. 16 Suppose -f - 4*g = -7*g - 11, 0 = 5*g + 10. Suppose 2*o - 91 = -5*m, -5*o = -7*o + 6. Suppose -7 + m = f*w. Calculate the remainder when w is divided by 2. 0 Let i = -228 - -297. What is the remainder when i is divided by 21*-4*(-1)/6? 13 What is the remainder when 3*(-2)/(-3) - (150 - 235) is divided by 16? 7 Calculate the remainder when (-858)/(-48) - -3*4/96 is divided by 7. 4 Let g be 4/(-14) + 270/63. Suppose -10 = g*j - 6*j. Let m(a) = -4*a - 7. Calculate the remainder when m(-4) is divided by j. 4 Calculate the remainder when (1 - (-8)/(-6))*1*-885 is divided by 15. 10 Let g = 85 + -98. Calculate the remainder when (429/(-6))/g*(2 + 0) is divided by 8. 3 Suppose -5*x - 14 + 339 = 0. What is the remainder when x is divided by (29 + -4)/((-12)/(-1)*19/228)? 15 Suppose s = 5*g + 26, 5*s = g + 27 + 7. Let u = 12 - s. Suppose -5*z + 4*v = -37, -5*z - v + 47 = -0*v. Calculate the remainder when z is divided by u. 3 Let f = 0 - -4. Suppose 442 + 840 = 4*i - 2*m, 5*i + f*m = 1596. Suppose i = 3*z + z. What is the remainder when z is divided by 27? 26 Suppose 3*s - 4*s + 2*z - 18 = 0, -z = -4. Let h = -32 - -105. What is the remainder when h is divided by (76/s)/((-14)/35)? 16 Let g be ((-48)/9)/(4/(-42)). Suppose 0*a = 2*a - g. What is the remainder when 110 is divided by a? 26 Let w = -197 - -205. What is the remainder when 35 is divided by w? 3 Let r(a) = a**3 - 5*a**2 - a - 12. Let o(t) = 2*t**2 - 5*t + 3. Suppose -2*l - 6 = -12. Let s be o(l). Calculate the remainder when r(s) is divided by 10. 8 Suppose -5*i + 130 = -25. What is the remainder when 948/8 + (405/6)/27 is divided by i? 28 Let d = 80 - 76. Calculate the remainder when 6 is divided by d. 2 Let z(k) = -k**3 + 22*k**2 + 17*k + 157. What is the remainder when 2 + 75 - (-6)/(-3) is divided by z(23)? 18 Let p be -3*4/9 - 37/(-3). What is the remainder when 28 is divided by 8/(-10)*(-9 - p)? 12 Suppose -3*q + 3*q - 4*q = 0. Suppose -3*c - 10 + 37 = q. Calculate the remainder when 51 is divided by c. 6 Suppose 3*d + 5*p = 2065, 94*d + 2*p = 95*d - 703. What is the remainder when d is divided by 140? 135 Let t = 558 - 438. Calculate the remainder when t is divided by 15. 0 Let j(p) = -p**3 + p**2 + 5*p + 16. What is the remainder when j(-3) is divided by 17? 3 Let u(l) = l**2 - l + 2. Let p be u(-4). Suppose -f - 4 = r + 4, 2*r + 4*f = -p. What is the remainder when 19 is divided by r + 15 + 2 + -5? 5 Let s = -242 + 264. Calculate the remainder when 65 is divided by s. 21 Let s = -2567 + 3645. What is the remainder when s is divided by 47? 44 Suppose 0 = 9*k - 1925 - 1945. Calculate the remainder when k is divided by 18. 16 What is the remainder when 18 - (36/(-63))/((-4)/42) is divided by 3? 0 Let a(c) = c**2 - 43*c + 129. What is the remainder when 31 is divided by a(40)? 4 Let u = 31 + -25. Suppose 7 = -2*r + 1. Let w = r + u. Calculate the remainder when 8 is divided by w. 2 Suppose 95 = 5*h - 4*f, 7*h - 2*h + f - 95 = 0. Calculate the remainder when 93 is divided by h. 17 Suppose 5*z + 2*n - 433 = 0, -176 = -2*z + n + n. Let m = z + -59. Suppose -f + 4*g + m = 2*f, -5*g = -2*f + 21. What is the remainder when 29 is divided by f? 5 Suppose -t - 285 = -4*s, 0 = -5*s - 5*t + 158 + 217. Calculate the remainder when s is divided by 25. 22 Suppose 0 = -4*n + n + 45. Suppose -5*s = -2*z - 165, 2*z - 4*z = -4*s + 130. Let o = -9 + s. Calculate the remainder when o is divided by n. 11 Suppose p - 16 = 7. Let b = 20 - p. What is the remainder when 32 is divided by (-32)/b + 14/42? 10 Suppose -13 = -2*u + 237. Calculate the remainder when 622 is divided by u. 122 Let g = -18 - -26. Suppose -3*k = 7 + 17. Calculate the remainder when 2/k + (-484)/(-16) is divided by g. 6 Let t(d) = 4*d + 12. Let n(a) = -7*a - 23. Let j(p) = 3*n(p) + 5*t(p). Let q be j(-10). What is the remainder when 40 is divided by (-143)/13*(-1)/q? 7 Let z = 82 - 173. Let a(d) = 24*d**2 - d. What is the remainder when a(1) is divided by 66/10 - (-3 - z/35)? 2 Let s = -29 + 77. Let l(m) be the second derivative of 3*m**5/20 - m**4/6 + m**3/6 - m**2/2 + 19*m. Calculate the remainder when s is divided by l(2). 14 Let q = -338 + 373. What is the remainder when q is divided by 14? 7 Let q = -2 + 2. Suppose 5*u - 23 - 2 = q. Suppose 3*w + 2*s - u*s = 90, -5*s - 15 = 0. Calculate the remainder when 107 is divided by w. 26 Suppose -5*y + 15 = 0, 7*j + 270 = 4*j + 2*y. Let m = j - -1. Let f = -17 - m. Calculate the remainder when f is divided by 24. 22 Let a be (-12)/(-7) + 2/7. Let r(w) = -3*w - 2*w - a*w + 2*w - 14. What is the remainder when 63 is divided by r(-6)? 15 Suppose 535 + 361 = 16*n. What is the remainder when 386 is divided by n? 50 Let a(f) = 13*f - 2. What is the remainder when a(3) is divided by (-132)/297*(2 - 137)/3? 17 What is the remainder when 3 + 0 + 228 + 8 is divided by 35? 29 Let w = 36 - 34. Suppose w*h + 2*s - s = 61, s + 5 = 0. What is the remainder when h is divided by 5? 3 Let t(v) = -4*v**3 - v - 1. Let g = 33 - -62. Let x = -88 + g. Calculate the remainder when x is divided by t(-1). 3 Suppose 0 = -5*o + f - 0*f - 55, 0 = -3*o - 2*f - 20. Let b = -7 - o. Suppose b*s = 18 + 6. What is the remainder when s is divided by 3? 2 Let v(j) be the second derivative of j**4/12 - j**3/6 + j**2/2 + 26*j. Let o = -53 + 103. What is the remainder when o is divided by v(-3)? 11 Let b(h) = h**2 - 4. Let u be b(3). Calculate the remainder when 69 is divided by (8 - 2) + 20/u. 9 Let o = 254 - -52. What is the remainder when o is divided by 28? 26 Let i = -332 + 340. What is the remainder when (74/6)/((-5)/(-15)) is divided by i? 5 Let x(z) = z**2 + 2*z - 95. What is the remainder when x(-17) is divided by 11? 6 Let h(b) = -b**2 + 8*b + 2. Let s(m) = 16*m + 55. What is the remainder when s(13) is divided by h(6)? 11 Suppose 2*s + c - 231 = 0, 4*s + 7*c - 3*c = 472. Calculate the remainder when s is divided by 19. 18 Let v(p) = 2*p**3 - 80*p**2 + 80*p + 58. Calculate the remainder when v(39) is divided by 6. 4 Let y be (-40)/3*(-63)/28. Let i = y - 25. What is the remainder when 8 is divided by i? 3 Let g(y) = y**2 + y - 6. Let z be g(0). What is the remainder when (-3)/z - (1644/(-8))/3 is divided by 12? 9 Let d(a) = -5*a + 1. What is the remainder when (-1 - -3) + 21 + 7 is divided by d(-3)? 14 Suppose 4*a - 708 = -2*v, -66*v + 70*v = -3*a + 1391. Calculate the remainder when v is divided by 70. 64 Suppose 0*h = -4*h + 20. Suppose 4*s - 111 = -5*i, -17 = -h*i - 2. What is the remainder when s is divided by -6*(-13 - (-650)/60)? 11 Let f = 1302 - 1264. What is the remainder when 278 is divided by f? 12 Let p(i) = 13*i - 5. Let m be p(1). What is the remainder when 66 is divided by ((-51)/12)/(m/(-64))? 32 Let b(f) = 11*f**2 - 24*f + 5. Let y be b(-17). Suppose -z - 2*u + 1974 = -1597, 0 = z - 5*u - y. Calculate the remainder when z/63 - 2/(-9) is divided by 15. 12 Let m = 169 + -94. Cal
{ "pile_set_name": "DM Mathematics" }
est common divisor of 38 and 57780026? 38 Calculate the greatest common divisor of 343104307 and 4234. 2117 Calculate the greatest common factor of 812569 and 9312. 97 What is the greatest common divisor of 1255 and 309845695? 1255 Calculate the highest common divisor of 1092 and 261100. 28 What is the highest common divisor of 90659646 and 7? 7 What is the greatest common factor of 701991543 and 484? 121 What is the highest common factor of 8236625 and 1125? 125 Calculate the highest common divisor of 437 and 26181487. 19 Calculate the highest common factor of 8550 and 5174874. 18 Calculate the highest common factor of 20190 and 641865. 15 Calculate the greatest common divisor of 38 and 1185752. 38 Calculate the greatest common divisor of 252369 and 59677. 719 Calculate the highest common divisor of 10 and 18046690. 10 Calculate the highest common factor of 45108 and 247791132. 6444 Calculate the highest common divisor of 970 and 981830. 10 What is the greatest common divisor of 29220 and 139020? 60 Calculate the greatest common divisor of 225885 and 1122. 33 Calculate the highest common factor of 3602395 and 428270. 1895 What is the highest common divisor of 120711929 and 36302? 2593 What is the highest common factor of 3077829 and 2587059? 7011 Calculate the highest common divisor of 119766290 and 6440. 1610 What is the highest common factor of 5724 and 2077388? 212 What is the greatest common factor of 249246 and 32638968? 4086 Calculate the highest common factor of 496357 and 2268163. 6283 What is the greatest common factor of 18721200 and 1824? 48 Calculate the greatest common divisor of 792 and 5919562. 22 What is the highest common divisor of 30 and 1019613480? 30 What is the greatest common divisor of 400524 and 27000? 12 What is the greatest common divisor of 288 and 252399312? 144 What is the highest common factor of 188 and 575327? 47 What is the greatest common factor of 172 and 60869897? 43 Calculate the greatest common divisor of 429 and 7007286. 429 What is the greatest common divisor of 28125280 and 640? 160 Calculate the greatest common divisor of 77643492 and 1587. 69 Calculate the highest common divisor of 49257 and 208379002. 5473 What is the greatest common divisor of 16061268 and 552? 276 What is the greatest common divisor of 87891447 and 77? 7 What is the greatest common factor of 2651552 and 2547494? 3854 What is the highest common factor of 418787163 and 153? 153 Calculate the highest common divisor of 276266 and 263294. 94 Calculate the highest common factor of 915 and 83865. 15 Calculate the highest common divisor of 11025 and 533757. 147 What is the highest common factor of 262 and 7292639? 131 What is the highest common divisor of 1317 and 17669311? 439 What is the highest common factor of 3653477 and 479229? 5153 Calculate the greatest common factor of 126927009 and 316. 79 What is the highest common divisor of 10296 and 793221? 429 What is the highest common divisor of 12065 and 921500? 95 What is the highest common divisor of 268632192 and 26432? 3776 What is the highest common factor of 49979130 and 366? 366 Calculate the greatest common factor of 1156383 and 216. 27 What is the highest common factor of 3978 and 373371? 51 What is the greatest common factor of 2952 and 3077952? 984 What is the greatest common divisor of 30899 and 1322827? 583 What is the greatest common divisor of 931 and 179242? 49 What is the greatest common divisor of 1729 and 41183051? 1729 What is the greatest common divisor of 653089 and 21641? 17 Calculate the highest common factor of 18158296 and 260. 52 What is the greatest common factor of 2176967 and 117? 13 Calculate the highest common divisor of 12 and 253133548. 4 Calculate the highest common factor of 76820740 and 4638. 1546 Calculate the highest common divisor of 61 and 1456457838. 61 Calculate the greatest common divisor of 56307 and 62061. 411 Calculate the greatest common factor of 2052998 and 8074. 734 Calculate the highest common factor of 2180 and 3087970. 1090 Calculate the highest common factor of 14742 and 45578. 26 What is the greatest common factor of 585 and 7491185? 65 Calculate the highest common divisor of 1271594 and 1744. 218 Calculate the highest common factor of 137372580 and 3060. 3060 Calculate the highest common factor of 477662 and 12050. 482 Calculate the greatest common divisor of 505377 and 2486809. 233 What is the highest common divisor of 5136 and 481872? 48 What is the highest common divisor of 75 and 139831725? 75 Calculate the greatest common factor of 573078 and 1570008. 1254 Calculate the highest common divisor of 2262174 and 3306. 174 Calculate the highest common divisor of 152558196 and 2814. 2814 Calculate the highest common divisor of 92 and 39199084. 92 What is the greatest common factor of 173520 and 51? 3 Calculate the greatest common factor of 766 and 14238. 2 Calculate the highest common divisor of 52 and 1576276. 52 Calculate the greatest common factor of 1146705 and 35697. 489 Calculate the greatest common factor of 7878906 and 182. 14 What is the highest common factor of 4779 and 104185386? 1593 Calculate the greatest common factor of 139 and 6696603. 139 Calculate the greatest common factor of 64 and 4349956. 4 What is the highest common divisor of 164870 and 400? 10 What is the highest common factor of 1738 and 5038? 22 Calculate the greatest common divisor of 13615776 and 170. 34 Calculate the greatest common factor of 17637792 and 1614. 1614 Calculate the highest common factor of 6586 and 9909616. 178 What is the greatest common factor of 100 and 68243675? 25 What is the greatest common divisor of 41821160 and 130? 10 Calculate the greatest common factor of 192338350 and 100. 50 What is the highest common factor of 225509075 and 23925? 7975 Calculate the highest common divisor of 5180043 and 9. 3 What is the greatest common factor of 9270 and 215122710? 3090 Calculate the greatest common divisor of 1284 and 134453632. 428 Calculate the greatest common divisor of 2336 and 774092. 292 What is the greatest common factor of 169 and 503009? 13 Calculate the greatest common factor of 8463481 and 13. 13 What is the greatest common divisor of 137 and 24616297? 137 What is the highest common divisor of 227 and 40333587? 227 Calculate the highest common factor of 3313342 and 310. 62 Calculate the greatest common divisor of 99 and 58802. 1 Calculate the greatest common factor of 137808253 and 27643. 3949 What is the greatest common divisor of 132 and 41097288? 12 What is the highest common factor of 44 and 311322? 22 Calculate the greatest common factor of 274354620 and 260. 20 Calculate the highest common factor of 1974 and 6101916. 282 Calculate the greatest common factor of 2429 and 255883005. 2429 Calculate the greatest common divisor of 1131929 and 217765. 449 What is the greatest common divisor of 610996892 and 44? 44 Calculate the greatest common factor of 7404969 and 858. 429 Calculate the highest common factor of 40 and 7906220. 20 Calculate the highest common factor of 62566287 and 2009. 2009 Calculate the greatest common factor of 264 and 61318037. 11 What is the highest common factor of 2 and 3701279? 1 What is the highest common divisor of 24464517 and 5775? 231 Calculate the highest common factor of 16376 and 276701. 89 What is the highest common factor of 16743 and 107151? 3 Calculate the greatest common factor of 488 and 3312971. 61 Calculate the greatest common factor of 1863 and 9595017. 81 What is the greatest common factor of 31779289 and 83? 83 What is the highest common divisor of 3033 and 22521373? 337 Calculate the highest common divisor of 47069 and 33448943. 4279 Calculate the greatest common divisor of 19857056 and 64. 32 Calculate the highest common divisor of 3561727 and 338. 13 Calculate the highest common factor of 60 and 91490310. 30 What is the highest common divisor of 11730 and 368475? 255 Calculate the greatest common factor of 862254 and 29007. 9 What is the highest common factor of 13710769 and 82? 41 What is the greatest common factor of 5720 and 1656818020? 2860 Calculate the highest common divisor of 16081362 and 154. 22 Calculate the greatest common factor of 6690 and 3408555. 3345 Calculate t
{ "pile_set_name": "DM Mathematics" }
z + 5*z. Calculate q(t(w)). -12*w Let c(s) = -24*s**2 - 10*s - 20. Let z(r) = -r**2 + r + 2. Let b(l) = -2*c(l) - 20*z(l). Let j(i) = -4*i**2. Give b(j(n)). 1088*n**4 Let x(l) = 114451*l. Let q(w) = 2*w. Determine x(q(k)). 228902*k Let h(w) = 3*w. Let m = 11 + -6. Let g(n) = 2*n. Let z(f) = m*g(f) - 3*h(f). Let u(a) be the first derivative of -5*a**3/3 - 1. Determine u(z(l)). -5*l**2 Let j(x) = -2*x + 146. Let w(u) = -27*u. What is w(j(r))? 54*r - 3942 Let f(p) = -14*p. Let k(i) = -2437*i + 1. Determine k(f(c)). 34118*c + 1 Let h(y) = 68 - 32 + 11*y - 30. Let x(j) = -2*j. Calculate x(h(f)). -22*f - 12 Let p(w) = -975*w**2 - 130*w - 65. Let g(b) = -61*b**2 - 8*b - 4. Let k(y) = -65*g(y) + 4*p(y). Let t(s) = s. Give k(t(h)). 65*h**2 Suppose -b = 4*c - 39, -b + 19 + 16 = 2*c. Let y(f) = 10*f - b*f + 13*f. Let g(v) = -v - 4. Let p(a) = 1. Let l(w) = g(w) + 4*p(w). What is y(l(q))? 8*q Let f(t) be the first derivative of -294*t + t**3 - 1 + 294*t. Let i(d) = 1754*d + 4*d**2 - 1754*d. What is i(f(s))? 36*s**4 Let o(q) be the second derivative of -4*q**4/3 - 3*q. Let n(w) = -w**2 + 1. Let f(k) = 2. Let j(a) = -f(a) + 2*n(a). Determine j(o(p)). -512*p**4 Let m(f) = f**2 + 33*f + 86. Let t be m(-30). Let q(g) = 5*g**2. Let i(p) = 11*p**2. Let v(z) = t*i(z) + 9*q(z). Let n(x) = 15*x. What is n(v(r))? 15*r**2 Let c(g) = 21*g**2 - 18. Let x(v) = -v**2 + 1. Let f(z) = -c(z) - 18*x(z). Let k(l) be the first derivative of -5*l**2 + 2. What is f(k(y))? -300*y**2 Let p(w) = -26*w**2. Let s(a) = 8646*a**2. Give s(p(z)). 5844696*z**4 Let o(f) = f + 1. Let l(w) = -6*w**2 - 12*w - 12. Let b(g) = -l(g) - 12*o(g). Let d(c) be the second derivative of 0*c**2 + 0 + 1/3*c**3 + 6*c. What is d(b(n))? 12*n**2 Let u(y) = -y**2 + 21. Let i(w) = -w**2 - 7. Let s(c) = 3*i(c) + u(c). Let j(k) = 25*k. What is s(j(q))? -2500*q**2 Let o(p) = 3*p. Let n(r) = 840*r**2 - 147. Let v(d) = -35*d**2 + 6. Let y(q) = 4*n(q) + 98*v(q). Determine y(o(z)). -630*z**2 Let l(m) be the third derivative of m**7/210 - 7*m**4/24 + 3*m**2. Let c(x) be the second derivative of l(x). Let p(r) = r - 67 + 67. Determine p(c(v)). 12*v**2 Let s(z) = 225*z. Let c(f) = -9636*f. Calculate s(c(d)). -2168100*d Suppose -5 + 1 = -2*m. Let b(z) = 2*z**m - 9 + 9. Let v(t) = -25*t**2 - 22*t**2 - 25*t**2 + 75*t**2. Calculate b(v(j)). 18*j**4 Let f(d) = 13*d**2 - 27*d**2 - 10*d**2 + 3*d**2. Let g(b) = -b. Determine f(g(y)). -21*y**2 Let k(v) = -12*v. Let t(y) = 4*y + 5. Let s(c) = -6*c - 5. Let i(n) = -12*n - 11. Let w(u) = -3*i(u) + 5*s(u). Let d(l) = 8*t(l) - 5*w(l). Determine d(k(r)). -24*r Let k(n) = -14*n + 6*n + 10*n. Let h(d) = 9*d**2. Determine k(h(m)). 18*m**2 Let p(t) = 2070*t + 9. Let w(l) = -24*l**2. Determine p(w(o)). -49680*o**2 + 9 Let j(z) = -3663*z. Let n(d) = -219*d. Calculate n(j(q)). 802197*q Let j(i) be the second derivative of 0 + 0*i**2 + i + 1/6*i**3. Let w(g) = -g + 6*g - 5*g + 22*g**2. What is j(w(k))? 22*k**2 Let f(r) = 103*r - 1. Let d(i) = 234*i**2 - 2*i - 2. Calculate d(f(w)). 2482506*w**2 - 48410*w + 234 Let r(w) = 4*w**2 + 0*w**2 - 2*w**2. Let k = 44 - 38. Let h(l) = -3 - 4*l + k*l + 3. Calculate h(r(g)). 4*g**2 Let d(h) be the second derivative of -19*h**3/6 - 4*h - 11. Let m(j) = -7*j**2. Give d(m(q)). 133*q**2 Suppose z - 1 - 7 = -5*n, n = 4*z + 10. Let y(i) = -78*i + 3*i**2 + 5*i**n + 78*i. Let g(w) = -4*w**2. What is y(g(j))? 128*j**4 Let r(n) = -n**2 - 9*n + 75. Let m(s) = -4*s. What is r(m(h))? -16*h**2 + 36*h + 75 Let g(a) = -6*a**2 + 131. Let p(r) = -8647 + 2*r**2 + 8647. Give g(p(x)). -24*x**4 + 131 Let u(h) = 4*h**2 - 946. Let r(j) = -4*j. Calculate u(r(m)). 64*m**2 - 946 Let h(v) = 2*v**2 + 25*v + 1089. Let x(j) = j**2. Determine h(x(m)). 2*m**4 + 25*m**2 + 1089 Let r(l) = l + 0*l - 30 + 30. Let t = 5 + -1. Let o(z) = t*z - z + 2*z. Calculate r(o(u)). 5*u Let y(i) = -9*i. Let q = -402 + 402. Let b(d) be the second derivative of 0 - 2*d + q*d**2 - 1/3*d**3. What is b(y(r))? 18*r Let c(o) = -o**2 + 6*o + 3*o - 9*o - 3*o**2. Let j(n) = 14*n. Give c(j(y)). -784*y**2 Let p(c) = -3*c**2. Let r(i) = -66862*i**2. Determine r(p(k)). -601758*k**4 Let h(o) = -17 - 6*o + 10 - 5*o**2 - o. Let w(y) = 4*y**2 + 6*y + 6. Let i(d) = -6*h(d) - 7*w(d). Let j(u) = 5*u + 3*u - 2*u. Give i(j(x)). 72*x**2 Let d(u) = 22*u**2. Let t(q) = -377*q**2 + 188*q**2 + 188*q**2. Calculate t(d(s)). -484*s**4 Let f(w) be the second derivative of 1/2*w**3 + 16*w + 0*w**2 + 0. Let u(l) = l. Give f(u(s)). 3*s Let m(s) = 2. Let z(i) = i - 12. Let j(p) = 6*m(p) + z(p). Let x(v) = 6*v. Give x(j(l)). 6*l Let k(d) = -74*d. Let h(u) = -452*u - 450*u + 1347*u - 448*u. Give k(h(i)). 222*i Let j(k) be the second derivative of -1/3*k**4 + 10*k + 0*k**2 + 0 + 0*k**3. Let a(v) = -3*v - 4*v + 5*v. What is a(j(s))? 8*s**2 Let k(u) = u + 186. Let f(n) = 233*n - 1. Give f(k(t)). 233*t + 43337 Let r(j) = 4*j**2 - 6*j. Let n(d) = 41*d**2 - 124*d**2 + 35*d**2 + 47*d**2. Give r(n(t)). 4*t**4 + 6*t**2 Let y(u) be the first derivative of -2*u**3/3 - 3. Let a(h) = -93*h + 35*h + 54*h + 47*h. Determine y(a(i)). -3698*i**2 Let n(l) = -l**3 + 2*l**2 + 4*l - 3. Let f be n(2). Let q(s) = -7*s - f*s + 3*s. Let o(p) = -2. Let m(y) = y + 10. Let j(z) = -m(z) - 5*o(z). Calculate j(q(g)). 9*g Let k(g) = -7*g**2. Let w(y) = 5505*y + 5. Give w(k(o)). -38535*o**2 + 5 Let v(a) be the second derivative of -a**5/120 + 11*a**3/6 - 25*a. Let w(c) be the second derivative of v(c). Let d(q) = -3*q**2 + q. What is w(d(h))? 3*h**2 - h Let j(a) = 2*a**2. Let d(r) = -4*r**2 + 697. Calculate d(j(i)). -16*i**4 + 697 Let z(y) be the third derivative of -y**4/8 + y**3 + 34*y**2. Let r(l) = l. Let j(i) = i. Let f(d) = 5*j(d) - 3*r(d). Calculate f(z(a)). -6*a + 12 Let h(n) = 14*n**2 - 50*n**2 + 27*n**2. Let y(o) = -o - 26. Give y(h(u)). 9*u**2 - 26 Let k(i) = 2*i**2. Let o(a) = -7*a + 23*a**2 + 16*a + 2*a**2 - 8*a. Give k(o(r)). 1250*r**4 + 100*r**3 + 2*r**2 Let n(q) = 5*q + q**2 - q**2 - 5*q + 6*q**2. Let j(h) = 13*h. Give n(j(p)). 1014*p**2 Let o(f) = 4*f**2. Let v(j) = -4*j - 6100. Give o(v(r)). 64*r**2 + 195200*r + 148840000 Let c(r) = 103*r + 1. Let f(h) = -60*h - 60*h + 176*h + h**2 - 56*h. What is c(f(a))? 103*a**2 + 1 Let t(r) = -13*r**2 + 36*r**2 - 20*r**2. Let j(f) = f - f + 2*f + 4*f. Give j(t(u)). 18*u**2 Let q(h) = h**2 + 17*h + 5. Let z be q(-17). Let u(y) = -16*y**2 + z*y + 7*y - 12*y. Let g(v) = 2*v. Give u(g(n)). -64*n**2 Let p(n) = -2*n**2. Let o(l) = -2*l + 21339. Give o(p(b)). 4*b**2 + 21339 Let w(h) = 2*h**2 + 3*h. Let n(d) = -6*d**2 - 8*d. Suppose 6 = 5*m - 34. Let y(v) = m*w(v) + 3*n(v). Let a(c) = -2*c - 10. What is y(a(k))? -8*k**2 - 80*k - 200 Let a(j) = j**2 - 5*j - 5. Let v(w) = -w - 1. Let l be (7 + -12)*1*-1. Let f(i) = l*v(i) - a(i). Let k(u) = 12*u**2. Calculate f(k(g)). -144*g**4 Let w(a) = 0 - 4*a + 4 - 4. Let b(z) = 16557 - 3*z**2 - 16557. Determine w(b(v)). 12*v**2 Let n(i) = 128*i**2 + 2*i. Let s(d) be the second derivative of d**4/2 + 9*d + 15. Give n(s(a)). 4608*a**4 + 12*a**2 Let t(a) = -26*a**2 + 5*a. Let i(c) = -2*c - 28. What is i(t(v))? 52*v**2 - 10*v - 28 Let f(x) = 15*x**2. Let r(i) = -19*i**2 + 16*i. Let v(o) = -7*o**2 + 6*o. Let j(t) = -3*r(t) + 8*v(t). Calculate f(j(s)). 15*s**4 Suppose -m - 8 = -3*m. Suppose -m*p = o + 6, o - 1 - 5 = 2*p. Let i(l) = -2*l**o + l**2 + 5*l**2 + 0*l**2. Let w(q) = 2*q**2. What is i(w(f))? 16*f**4 Let n(g) = 95*g - 185*g + 94*g. Let h(i) = 2*i. Let w(y) = 5*h(y) - 3*n(y). Let t(u) be the first derivative of u**2/2 + 1. Calculate t(w(s)). -2*s Let p(m) = -6*m + 7*m - 6*m + 6*m. Let g(v) = -4*v**2 - 17*v. Give g(p(l)). -4*l**2 - 17*l Let w be 128/(-24)*(-3)/2. Let q be 42/w + (-4)/16. Let y(i) = i + i + i - q*i. Let r(d) = -d. Give y(r(s)). 2*s Let w(y) = -6*y + 3. Let a(m) = 1. Let d(i) = -2*a(i) + w(i). Let k(l) = -6*l. Let p(n) = -5*n. Let j(g) = -4*k(g) + 5*p(g). Give d(j(s)). 6*s + 1 Let y(t) = t. Let b = -4 - 6. Let d = b - -10. Let f(r) = r**2 + 0*r**2 + d*r**2. Calculate y(f(v)). v**2 Let p(l) = -4*l. Suppose 0*n - 51 = 3*n. Let u = n - -29. Let h(c) = -12 - 2*c**2 + u. Determine h(p(a)). -32*a**2 Let d(h) = -254*h + 132*h + 111*h. Let u(b) = 18*b. Give u(d(c)). -198*c Let m(x) = -2*x**2. Let l(t) = -2*t**2 + 110. Calculate m(l(n)). -8*n**4 + 880*n**2 - 24200 Let f = 7 + -7. Le
{ "pile_set_name": "DM Mathematics" }
et j = 12 - m. Suppose g - 3*k = 0, 2*g - 3*k + 18 = 4*g. Calculate the lowest common multiple of g and j. 12 Find the common denominator of -89/34 and (-70)/42 - 2/12. 102 Let a = 56 + -80. Let t be (-1)/2 - 173122/a. Let p = -7220 + t. Calculate the common denominator of 91/8 and p. 24 Let b be 2/10 - 6/30. What is the least common multiple of -3 + 15 + b + -1 and 3? 33 Suppose -3*m - 1 + 10 = 0. Suppose 0 = t - 5, -2*z - m*t = z - 39. Let y(d) = -d**2 + 15*d - 42. What is the smallest common multiple of y(10) and z? 8 Let s = 9 + -6. Calculate the smallest common multiple of 13 - (5 - (-1 + s)) and 6. 30 Calculate the common denominator of 123/20 and (15/104)/(33/(-220)). 260 Suppose -3*w + 3 + 6 = 0. Suppose -j - 2*j - 6 = -w*v, 3*v - 2 = 2*j. Find the common denominator of (-112)/(-63) + j/(-2) and -37/2. 18 Suppose -4*k = -0*k - 24. Calculate the lowest common multiple of k and 1. 6 Suppose -5*j = -25, -4*g + 4*j = -2*g + 14. Let i(s) = -2*s + s - 10*s**g + 27*s**3. What is the smallest common multiple of 14 and i(1)? 112 Let x(g) = -g**2 + 5*g + 14. What is the lowest common multiple of x(6) and 2? 8 Suppose 44 - 2 = 6*x. Suppose -4 = -4*n + 12. Calculate the lowest common multiple of x and n. 28 Let g = -4883/1141 + -1/163. Suppose 1 - 189 = 2*k. Find the common denominator of (4/8)/(5/k) and g. 35 Suppose 2*l - 6 = 0, -28 = h + h - 2*l. Let t = 6 + h. Let a(f) = -f**3 - 4*f**2 + 4*f - 3. What is the least common multiple of 3 and a(t)? 6 Suppose -2*h + 13 + 0 = -5*q, -4*q = 4*h - 12. Let u = 849413/39972 + -2/9993. What is the common denominator of u and (0 - q) + 136/(-18)? 36 Suppose 27457 = -2*k - 52999. Let u = k - -61428158/1527. Let c = u - 14258/4581. What is the common denominator of -23/9 and c? 9 Suppose 5*z = 5*k - 100, 5*k + 2*z - 25 - 47 = 0. Calculate the smallest common multiple of 11 and k. 176 Suppose -40 = -7*p + 2*p. Let l(c) = -c + 15. What is the smallest common multiple of l(3) and p? 24 Suppose -2 = -h, 2*j = 4*j + h - 6. Suppose w = u - j, -12 = 3*u - u + 2*w. What is the common denominator of (948/(-32))/(u*3) and 39/14? 112 Let p = -16/171 - -4763/342. Find the common denominator of p and 111/10. 30 Find the common denominator of (-516)/(-40) + 4/(-10) and -53/8. 8 What is the common denominator of (-46)/6*6/(-28) and (1/(-22))/(0 - 2/(-74))? 154 Calculate the common denominator of 42 and ((-214)/36)/((-3)/(-9)). 6 Let b = -2045353/49 + 41740. Let i = b - -5133/1078. What is the common denominator of i and -45/8? 88 Let b = 108637/26740 - 17/1337. What is the common denominator of b and -151/30? 60 Let i be 0/(1 - 1 - -3). Suppose -5*q = -2*u + 42, -3*u + i*u - q = -46. What is the least common multiple of 14 and u? 112 Suppose 0 = -5*j + 4*h + 94, -4*j = -j + 5*h - 49. What is the least common multiple of j and 4? 36 Suppose 161 = -3*q - 4*z, 157 = -3*q + 5*z - 13. What is the common denominator of q/(-4)*(-12)/(-9) and 1851/90 + 4/(-10)? 6 Let z = 636 - 374. Suppose -z = g + g. Let h = g - -2603/20. What is the common denominator of 5/12 and h? 60 Let f be ((-3)/6)/((-3)/(-6)). Calculate the lowest common multiple of 16 and (-1)/(f*(-4)/(-8)). 16 Suppose 8 = 2*y, 5*i - 11 = -y + 2*y. Calculate the lowest common multiple of i and 7. 21 Let u(w) = -w**3 - 2*w - 2. Suppose d - 20 = -3*d. Calculate the least common multiple of u(-2) and d. 10 Let r(y) = y - 1. Let i be r(-1). Calculate the least common multiple of 3 + 1 + i + 4 and 2. 6 Let s = -191221/350 + 1513/175. Let n = 542 + s. What is the common denominator of n and -23*-2*(-2)/(-10)? 10 Let z(d) = -4*d. Let m(x) = -9*x. Let g(w) = 6*m(w) - 13*z(w). What is the smallest common multiple of g(-5) and 9? 90 Suppose 0 = 2*p - 3*p. Suppose 4*h - 2*h = p. Suppose m - 4*o - 40 = h, 5*m - 125 = 2*o + 3*o. Calculate the lowest common multiple of m and 4. 20 Let a(y) = -2*y - 5. Suppose 8*j = 5*j - 18. What is the smallest common multiple of a(j) and 42? 42 Let i = 2847426551/154 - 18489412. Let k = -187591 + 2067623/11. Let d = i - k. Find the common denominator of 25/14 and d. 14 What is the common denominator of 1/4 - 548/(-176) and -52/9? 99 Suppose 5*t + 4*c = 6*c + 131, 137 = 5*t + c. What is the least common multiple of t and 12? 108 Let m be (1/8)/((-382)/60348). Let n = -1956221/382 - -5121. Let y = m - n. What is the common denominator of y and -31/11? 44 Suppose 70 = 4*f - 10. What is the smallest common multiple of f and 22? 220 Suppose i + 2*j - 3 = -0, i + 2 = 3*j. Suppose -2*s - 2*s + 4 = 0. Calculate the least common multiple of s and i. 1 Let i(j) = 2*j**2 + 4. Let q = 15 - 11. Suppose 4*z - 5 = -r - 1, 5*z - 16 = -q*r. What is the least common multiple of r and i(-3)? 44 Suppose a + a - 4*r - 20 = 0, 4*r = -a - 2. What is the least common multiple of a*4*(-1)/(-2) and 12? 12 Suppose -2*v = v + 12. What is the lowest common multiple of ((-11)/2)/(v/8) and 10? 110 Calculate the common denominator of 39/2 and 34/8*(-36)/54. 6 Let f = -147 + 154. What is the smallest common multiple of f and 28? 28 Suppose 4*v - 8 - 16 = 0. Calculate the common denominator of -8/11 and (-6)/(-8)*(-17)/v. 88 Let p be 42/15*(-4 + -1). What is the common denominator of 2/(-4) - 310/40 and (99/105)/(4/p)? 20 Let c(k) = k**3 + k**2 - k + 2. Let u be c(0). Suppose 0 = 4*g - 0 + 48. What is the least common multiple of 22 and (-80)/g + u/(-3)? 66 Suppose 0*u = -5*u. Suppose -3*q + 2*q + 5 = u. Suppose 4*h = q + 23. Calculate the lowest common multiple of 5 and h. 35 Let t = -1 + -5. Find the common denominator of 41/12 and (t/9)/((-120)/243). 60 Let g be (-365)/30 + (-1)/(-6). Calculate the common denominator of 21/20 and (g/(-8))/(6/(-43)). 20 What is the common denominator of -77/16 and (138/60)/(2/(-3))? 80 Let f(n) = -n**2 + 7*n - 3. Let z be f(7). Find the common denominator of (17/(-6))/((-5)/(-25)) and (z - -3) + (-10)/12. 6 Let l(c) = c**3 + 4*c**2 - 2*c - 1. Let j be l(-4). Suppose -5*p = 3*z + j, 3 = -3*z - p + 4. What is the least common multiple of 3/3 - z - -3 and 5? 15 Suppose -c - m + 6*m = -11, 0 = -2*c - 2*m - 2. Let b = c + 3. Suppose 64 = b*n - 24. What is the lowest common multiple of n and 14? 154 Let k(d) = d**2 - 9*d - 5. Let w be k(10). Suppose -15 + 85 = w*a. Calculate the smallest common multiple of a and 15/(-2)*4/(-3). 70 Let o be (-1)/4 + 63/(-4). Find the common denominator of 94/o - (-3)/12 and 1/5 + 602/(-60). 24 Let t = 12399/1528 - -2/191. Let o = -476189/142140 + 1/7107. Calculate the common denominator of o and t. 40 Let b(h) = h - 2. Let n be b(4). Suppose -n*v = -v - t + 3, -5*v = 2*t - 20. Calculate the lowest common multiple of v and 16. 16 Let c(d) = d**2 + 7*d + 10. Let f be c(-9). Suppose 4*m - f = 2*v, -2*v + 2 = -v. Calculate the least common multiple of 8 and m. 8 Let n = 13 + -8. Let y(l) = -l**2 - 8*l + 3. Let b = -22 + 15. What is the least common multiple of y(b) and n? 10 Suppose 0 = 4*z + 17 - 105. Calculate the least common multiple of z and 14. 154 Suppose 3*k + 7 = -4*v, -5*k - 3*v + 2 = -1. Let l = 7 + -2. Calculate the smallest common multiple of l and k. 15 Let t = -4/401 + 2049/4411. Calculate the common denominator of 2/11 and t. 11 Let u = 2/18751 - 1518851/187510. Let f = 84451/10 - 8457. Find the common denominator of u and f. 10 Let b(f) = -9*f + 21 - 12*f + 22*f. Calculate the least common multiple of b(-11) and 3. 30 Suppose -2*c + 2 = -x - 3, 2*c = -4*x + 10. Suppose -c = -r + 6. Suppose 5*q - 9 - 1 = 0. What is the lowest common multiple of q and r? 18 What is the least common multiple of 10 and 22 + (-3)/3 - -1? 110 Find the common denominator of 7/22 and (142/15)/(0 + 4). 330 Let b be ((-27)/(-24))/((-9)/4404). Let x = -570 - b. Calculate the common denominator of 105/(-6) + 1 - 0 and x. 2 Calculate the common denominator of 1 + (-5 - 146/(-30)) and 22/3. 15 Suppose -3*a = -5*t - 26, a + 3*t - 22 = -2*t. Calculate the lowest common multiple of a and 14. 84 Let c(b) = -2*b + 8. Calculate the lowest common multiple of c(-2) and 9. 36 Let j = -4/13337 - 78727519/2640726. Let l = -740/33 - j. Find the common denominator of l and -33/14. 126 Let u(k) = -k. Let a be u(-2). Calculate the common denominator of a - (0 - (-70)/16) and 63/10. 40 Let w be 3 + (2 - 4) - 2. Calculate the common denominator of -51
{ "pile_set_name": "DM Mathematics" }
- 8*u + 20. Let v be z(5). Let k be 25/v - (-1)/6. Sort 5, k, 3, 13 in decreasing order. 13, 5, 3, k Let l be -5 - ((-9)/(-1) - 559/39). Sort -2/11, -0.2, 15, l in decreasing order. 15, l, -2/11, -0.2 Let y = 483 - 712. Let a = -228.8 - y. Sort 1, 2/11, 2, a. 2/11, a, 1, 2 Let i = -31/82 + 37/82. Put i, 1/4, -4 in ascending order. -4, i, 1/4 Let w(u) = u + 16. Let f be w(12). Suppose 3*z = 2*m - f, 6 - 2 = 2*z. Sort m, -3, 4 in decreasing order. m, 4, -3 Let r(l) = -2*l + 12. Let b be r(6). Suppose b = 7*w - 5*w - 24. Suppose 9*j = w*j + 6. Put j, 1, -0.04 in descending order. 1, -0.04, j Let z be -4*(-70)/4*(-112)/(-560). Put z, 4.3, -5 in descending order. z, 4.3, -5 Suppose 0 = -0*k + 13*k + 26. Suppose 5*j - 96 + 81 = 0. Sort -3, k, j, 0 in increasing order. -3, k, 0, j Let h = 16779 - 16776. Sort 1, h, -3, -1516. -1516, -3, 1, h Suppose -3*v + 5*i - 25 = 0, -3*i + 10 = 2*v - 5. Suppose 3*d - 5*d - 4 = v. Let a(f) = -f**2 - 19*f - 18. Let g be a(-18). Sort 1, g, d in descending order. 1, g, d Let w = 62 - 60. Suppose 2*h - 2*a - w = 0, 2*h - 5*a - 1 = 4. Suppose y + 30 - 26 = h. Put 4, 2, -6, y in ascending order. -6, y, 2, 4 Let l be 11088/(-1683) + (0/(-1) - -6). Put -1/4, l, 1/8, 0.2 in increasing order. l, -1/4, 1/8, 0.2 Let z = -6970 + 6972. Put 3, -3, -39, z in descending order. 3, z, -3, -39 Let v(p) = 12*p - 79. Suppose -3*g + 74 = 53. Let b be v(g). Sort b, -4, -11. -11, -4, b Let u = -5689 + 5901. Sort u, 4, 3, 2, -3 in increasing order. -3, 2, 3, 4, u Let y = -3887 - -3957. Sort y, 0, 13 in decreasing order. y, 13, 0 Let f = -1490.4 + 1490. Put -111, f, -4 in decreasing order. f, -4, -111 Let p = -11261 - -11259. Put -5, -14, -0.1, p in descending order. -0.1, p, -5, -14 Suppose 12*g - 50 = 7*g. Suppose -9*u - 4*q + 56 = -4*u, -u - 2*q + g = 0. Suppose 13*a = 17*a - u. Put a, 5, -3, 4 in descending order. 5, 4, a, -3 Suppose -13 = 3*m - u, -4*m - 397*u + 399*u = 22. Sort -1, -7, 1, m in descending order. 1, -1, m, -7 Let j(n) = 2*n**3 + 3*n**2 + 214*n + 435. Let m be j(-2). Let g be (-17)/5 - (-2)/5. Sort -44, m, -4, g in decreasing order. m, g, -4, -44 Let i = 6.41 + -6.01. Let k = 4.8 + -1.8. Sort 8, k, i in increasing order. i, k, 8 Let t be 6 + (-51)/6 - -1. Sort t, 1/2, -1/4, 4 in decreasing order. 4, 1/2, -1/4, t Let q be 28 + -6 - (-82 + 101). Let t = 18/5 - 172/45. Sort 5, t, 0.19, q. t, 0.19, q, 5 Let j(r) = -2*r**3 + 24*r**2 + r - 15. Let z be ((54/45)/(1/10))/1. Let l be j(z). Put l, 1, 12 in increasing order. l, 1, 12 Suppose 2*l + b - 31 = 0, -12*l + 10*l - 4*b + 40 = 0. Sort l, -4, 4, 112, 5 in decreasing order. 112, l, 5, 4, -4 Suppose 0 = 4*v - a - 6, v + 15 = 16*a - 13*a. Sort v, 101, -3. -3, v, 101 Suppose 19*y - 23*y = -264. Suppose 102 - 8 = 5*b + g, 3*b = -3*g + y. Put 4, -2, -4, b in increasing order. -4, -2, 4, b Let n = 1 + 0. Let h = -8.0761 - -10.0761. Let y = -51/116 - 9/29. Put y, h, n in descending order. h, n, y Suppose 2*w - 2*a + 18 = 0, -a = w + 6 - 1. Suppose 0 = -25*h + 14*h + 33. Sort w, -2, h, 0 in increasing order. w, -2, 0, h Let q be ((0/(-16))/(-13))/(1 + -3). Put 1, -1, 13, q in decreasing order. 13, 1, q, -1 Let c be ((-5)/50)/(154/(-88)). Put -2, -1, c, -3/4, 3/8 in descending order. 3/8, c, -3/4, -1, -2 Let a = 39 + -18. Let g = -75.2 + 86. Let v = g - 10.4. Sort -5, 1, a, v in ascending order. -5, v, 1, a Suppose 5*l + 4*t = -6, 169*l - 168*l = -4*t - 14. Put l, -1, 1193 in ascending order. -1, l, 1193 Let z = -2922 + 2942. Suppose 3*a + 13 - 1 = 0. Sort z, a, -2 in ascending order. a, -2, z Let b = -541 - -538. Let s be (-4)/((-16)/(-12)) + 4. Put 3, 5, b, s in increasing order. b, s, 3, 5 Let w = -3 - -5. Let a be -2 + -3 + (1884/(-4))/(-3). Let t = 150 - a. Sort w, -3, t. -3, t, w Suppose -4*i + 28 - 12 = 0. Suppose 89 = -3*a + 71, -382 = -2*u + 2*a. Sort 3, i, u in descending order. u, i, 3 Let t = 0.42 + -4.42. Let p = 279 + -276. Sort t, -2, p in descending order. p, -2, t Let i(w) = -w**3 + 28*w**2 - w + 27. Let m be i(28). Sort m, 2, 72, -2. -2, m, 2, 72 Let x(b) = b**2 + 3*b - 1. Let c be x(-4). Suppose -154 = -10*i - 94. Let q be 4/9*((-11 - -8) + i). Put c, -1, 5, q in increasing order. -1, q, c, 5 Let j(y) = -38*y - 49. Let a be j(-11). Let b be 2*(0 + a/(-18)). Sort b, 2, -2 in descending order. 2, -2, b Let l(k) = k**3 - 48*k**2 + k - 51. Let b be l(48). Put 3, 43, b, 1, 4 in decreasing order. 43, 4, 3, 1, b Let z = 166.862 + -167.862. Let j = 0.1 - 0.3. Sort j, 5/9, 1/3, z in ascending order. z, j, 1/3, 5/9 Let i = 884 + -619. Let j = -260 + i. Put 2, -0.3, j, -6 in decreasing order. j, 2, -0.3, -6 Let p = 4837/39 + -361/3. Let c = p + -406/117. Sort c, -0.47, 0.4 in decreasing order. 0.4, c, -0.47 Let i = -0.07 - -0.07. Let p = -28 + i. Let q = p + 59. Sort 0, q, 1/2 in decreasing order. q, 1/2, 0 Let i be 1 + 1/(-1 - 0). Suppose 19101*w - 3 = -4*h + 19102*w, -5 = -h - 4*w. Sort i, 2, h. i, h, 2 Suppose -5*z + 6*z - 30 = 5*l, -5*l = -2*z + 30. Sort -18, 6, z, -13. -18, -13, z, 6 Let o = -0.3498 - -0.5498. Sort -0.9, -4, 6/11, o in decreasing order. 6/11, o, -0.9, -4 Let j = 53 + -18. Let z = 37 - j. Suppose 0 = 5*x - z + 77. Sort 1, -4, x in decreasing order. 1, -4, x Let h = -13157 - -13151. Put 104, h, -1 in descending order. 104, -1, h Suppose -5*s + o + 148 + 71 = 0, -4*o = -2*s + 84. Put -2, 3, 0, s in descending order. s, 3, 0, -2 Let c(d) = -4*d**2 - 47*d - 46. Let q be c(-1). Sort q, 65, 7 in increasing order. q, 7, 65 Let t = 0.6578 - 1.1578. Put t, -3, -4, 5, 0.22 in decreasing order. 5, 0.22, t, -3, -4 Suppose -w = 4*w - 3*w. Suppose -3*t + 4*t - 1 = w. Suppose 0 = 3*f + t + 35. Sort f, 2, -3, 1 in ascending order. f, -3, 1, 2 Let u = 21583 + -21584. Put u, 78, -5, -1/30 in decreasing order. 78, -1/30, u, -5 Suppose 20418*n - 20415*n = -4*a + 20, n + 2*a - 6 = 0. Let d(p) = -p**3 - 5*p**2 + 7*p. Let x be d(-6). Let h = x + 2. Sort n, h, 5 in decreasing order. n, 5, h Suppose 55*h + 3*z = 51*h + 31, -2*z = -2. Put h, 4, 2, 5, -24 in ascending order. -24, 2, 4, 5, h Let b = -10231 + 654783/64. Sort 26, b, -2 in descending order. 26, b, -2 Let v = -1232 + 1229. Put -17, v, 4, 5, 24 in decreasing order. 24, 5, 4, v, -17 Let t = 11 + -15. Suppose 12 = -4*o + 7*o, -3*x + 72 = -3*o. Suppose 4*r = 11*r - x. Put t, r, 5 in increasing order. t, r, 5 Let g be 6 - -1*(-3 + 3 - -1). Let d be (-1 - (-1 - g)) + -11. Suppose -5*x - 10 = 0, 4*c - 4*x = -9*x - 22. Put -14, d, c in ascending order. -14, d, c Let s = -438 - -436. Sort 31, s, 2/9, -5. -5, s, 2/9, 31 Let x be ((-57)/19)/((-9)/3). Sort 3, -26, x, 5. -26, x, 3, 5 Let k be 140/(-4270)*183/(-54). Let y = -0.2 - -0.4. Let g = 1 + -3. Put k, g, 3/5, y in ascending order. g, k, y, 3/5 Let q = -56.5 - 5.7. Let o = -51.7 - 10.3. Let l = o - q. Sort 0.5, 2/3, l in decreasing order. 2/3, 0.5, l Let j be (12/14)/((-30)/70). Sort j, -3, -7, 5 in descending order. 5, j, -3, -7 Let b = 59/84 - -1/21. Suppose 6*c + 8 = -16. Suppose 5*u + 29 - 34 = 0. Put c, u, -2, b in ascending order. c, -2, b, u Suppose -5*m - 289 = -314. Let t be -15 + 9 + (375/12)/m. Let x = 3 + -3.4. Put -1/3, x, 1, t in increasing order. x, -1/3, t, 1 Let c = 148.1 + 32.9. Let w = -179 + c. Suppose 0 = 2*n + 2*n + 16. Sort n, w, 13 in decreasing order. 13, w, n Suppose -5735*x + 5732*x - 4*w - 27 = 0, -4*w - 24 = 4*x. Let v = -8 - -5. Put x, v, 2, 29 in ascending order. v, 2, x, 29 Let b = 8449 + -8204. Put -2, b, 0.19 in ascending order. -2, 0.19, b Let c(w) = 79*w - 27. Let s be c(-2). Let k = -184 - s. Sort 4, 5, -4, k in decreasing order. 5, 4, k, -4 Let j = -2.2 - 1.3. Let c = -0.5 + j. Let p = 2339866 + -2339866.2. Put c, 1/4, p, 1/12 in decreasing order. 1/4, 1/12, p, c Let t = -0.0453 - 210.9547. Let f = t + 214. Put f, -0.09, 15 in descending order. 15, f, -0.09 Let d be 39/(-4) + (-2)/8. Let x = 4329 + -4328. Sort 10, x, d in descending order. 10, x, d Suppose 4*p + 11 = -5*f + 7*p, 5*f - 5*p + 15 = 0. Suppose 68 + 32 = 5*t. Suppose -t = 2*u - 7*u. Sort 5, f, u, -5. -5, f, u, 5 Let m be 180/(-156)*(-702)/(-162). Suppose -5*l + 0*l - 17 = 2*w, -15 = 4*l + 3*w. Sort m, -6, l in descending order. l, m, -6 Let u = 321 + -433. Let j = -112.01 - u. Sort -1, j, -3/4, -0.1 in ascending order. -1, -3/4, -0.1, j Let u = 15 - 14. Let a be (-3*2/10)/u
{ "pile_set_name": "DM Mathematics" }
pose -3*w + 63 = 4*w. Let a(s) = -5*s + s - w + 31. Let l be a(5). Solve 3 = -3*b, -l*b - 3 = -4*c - 5 for c. -1 Let s = -67 + 93. Suppose -25 = -27*k + s*k. Suppose -k = l - 26. Solve l = -5*c + 2*q - 1, -q = 4 for c. -2 Suppose b - 6 = -2*n, 2*b - 13 = -b - n. Suppose -19*q = -26*q + 56. Let g = -33 - -37. Solve -2*v + u - q = v, -b*v - g*u = 16 for v. -3 Let f = -10550 + 10576. Solve 0 = 5*g + 4*q - 20, -42 = -4*g + 3*q - f for g. 4 Suppose 5*j - 2*j = -3*l + 6, j + 28 = 5*l. Let r(x) = -x**2 - 19 + 0*x**2 + 18 - l*x. Let q be r(-4). Solve -2*s + q*i - 5 = 0, i = s + 2*s + 11 for s. -4 Let c = 266 - 264. Suppose -s - 3 = 5*d - 28, 0 = c*s - 10. Solve d*h = -2*w + 4, -2*w + 3 = 3*h - 1 for h. 0 Let q = -5 + 8. Suppose 0 = 356*v - 361*v + 4*g, g - 9 = -v. Solve -3 = -3*c + q*u, -4*c + v*u - 5*u + 19 = 0 for c. 4 Let d(h) = -46*h + 2737. Let q be d(59). Solve -3*c - 18 + q = 5*r, -3*c = 0 for r. 1 Let l = 113 - 114. Let b be (-4 + 1*l)*(-132)/330. Solve 0*z + b*z = 3*p + 1, 0 = z - 5*p + 10 for z. 5 Let w be (-6)/(-4)*(6 + (-160)/24). Let x(c) = -2*c**3 - 3*c**2 - c. Let v be x(w). Solve -3*g + 2 = 2*i - v, -i = -g + 4 for g. 2 Let s be (0 + 1)*((-5)/1 - 2 - -7). Solve l + 0*l = 0, -3*m - l + 6 = s for m. 2 Let a(h) = 4*h**3 - 143*h**2 - 31*h - 180. Let v be a(36). Solve -27 = 3*k - v*s + 4*s, 0 = -k - s - 8 for k. -5 Let d(z) = -z**3 - 9*z**2 + 10*z. Let c be d(-10). Let i be 4*1 - 3/(-9)*c. Solve 4*v - a = -i*a - 1, -7 = v + 3*a for v. 2 Let j = -104 - -129. Suppose 3*k = -4*w + 15, -j = 8*k - 13*k - 3*w. Solve -k*o = 3*i - 8*i - 15, 4*o = -i - 13 for o. -2 Suppose -2*n = n - 6*n - 9*n. Solve n = -4*v - 3*a + 4*a - 8, 5*v - 2*a + 7 = 0 for v. -3 Suppose 0 = -b - 2*s, -5*b + 4*s + 0*s + 56 = 0. Solve 4*p = -b, 0 = 16*j - 15*j - 5*p - 12 for j. 2 Let t = -700 + 695. Let r(p) = -2*p**2 - 8*p + 12. Let l be r(t). Solve -l*g + 4 = -3*n - 2*n, -4*g = -4*n - 8 for g. 2 Let b be 2/15 - (-280)/150. Solve 4*r = -4*l + 1 + 27, -2*l + b*r - 2 = 0 for l. 3 Suppose -3*q + 5*y = -104, -7*y + 3*y = 16. Let h be 1*0/(99/(-11)). Solve h*b = 5*s + b + q, -3*b + 11 = -4*s for s. -5 Let q be 10/(-2) - 1050/(-175). Solve 19*r - q = 20*r, 5*x + r = -1 for x. 0 Let z be (-6)/((-96)/76)*(5 + -1). Solve 3*o - w = -3*w + z, -o - 17 = -4*w for o. 3 Let b = -2293 + 2314. Solve 2*d - 4*x + 9*x = -b, 4*x = -d - 18 for d. 2 Let u be 8/6*-2*30/(-20). Suppose 3*c - 364 = -u*c. Let a be c/28 + 2/14. Solve 5*q - 35 = 5*b - a*b, -3*q + 22 = -2*b for q. 4 Suppose 8 = -5*h + 3*i, 350*i = -2*h + 349*i + 10. Solve 4*w - h*n + 6*n = -28, -2*w + 3*n + 11 = 0 for w. -2 Let s be 3 - 16/8 - -4. Suppose -2*j + s*r + 0*r - 15 = 0, j - 5*r + 20 = 0. Solve -j*z - 5 = -4*d, 3*d - 1 = -3*z + 23 for z. 3 Let i be 4/(-10) - (-8)/(-40)*-22. Solve 0 = -2*j + j + i*b - 14, 0 = -5*b + 15 for j. -2 Let l(v) = v**3 + 6*v**2 - 5*v - 48. Let n be l(-4). Suppose -3*i = -2*g + 11, n*i - 11 = -5*g - 18. Solve 2*w + o - 3 = -0*w, -3*o = 4*w - g for w. 4 Suppose 0 = -3*c + 5*k - 9, -22*k = 5*c - 19*k - 19. Solve c*s = -5*d + 17 + 7, -d = -2*s for d. 4 Suppose 4*z - 2 = 2*l, -3*l + 3*z = 2*l - 9. Suppose j = -4*i + 71, -2*j - 17 - l = -i. Solve -4*r - 2*f - i = -7*f, r + f = 0 for r. -2 Let z be (-19)/(-44) + (-4)/16 - (-1060)/583. Solve -d - z*r + 12 = 0, d - 3*r = -d - 11 for d. 2 Suppose 21 = -3*j + 12 + 24. Solve -j*z = -4*d - 6 - 1, -9 = -3*z for d. 2 Suppose -7*w - 2*w - 1342 = -1495. Solve 5*x - 55 = 4*u - 77, 0 = -3*u + 4*x + w for u. 3 Suppose -505 - 912 = -66*q - 427. Solve 5*w + 2*z = -27, -2*w - 4*z - q = 15 for w. -3 Let n(q) = -488*q - 2924. Let f be n(-6). Solve -h + f*g = -23, h - 10*g - 18 = -7*g for h. 3 Suppose -k + 13 = -3*i, k + 53*i = 49*i - 8. Solve -5*b - 10 = -k*h, 5*b = -9*h + 11*h - 20 for b. -6 Let d(r) = 3*r + 62. Let b be d(0). Let n be b/(-1 + (-12)/(-4)). Suppose -2*m - n = -45. Solve -5*v + 0*a = 2*a, -v + m = -a for v. 2 Let h(q) = 468*q - 6080. Let l be h(13). Solve -3*i - 8 = -4*i + l*f, 0 = 3*i - 5*f - 3 for i. -4 Suppose -2*b - 7*b + 6*b = 0. Suppose 10 = 5*j + 5*a, -3*j + a = -b - 10. Suppose 6*t = t. Solve -6*p = 2*k - 3*p - 13, j*k - 3*p + 3 = t for k. 2 Let f = 33 + -68. Suppose 140*m = 120*m - 840. Let x = f - m. Solve -4*q - 13 = -5*a, x*a = 3*a - 4*q + 32 for a. 5 Let o be (-5 - 72/7) + 4/14. Let u be 2*(4 - o/(-6)). Solve s = 4*c - 12, c + u*s - 8*s = 22 for c. 2 Suppose -17 = -8*l + 5*l + 2*s, -l + 3 = 2*s. Suppose 7*b + 4*z - 10 = 2*b, -3*b + 6 = -l*z. Solve -g + 5*u = -2*g + 5, 5*u - 10 = -b*g for g. 5 Let t(h) = 4*h - 1. Let v be t(11). Let u = 856 - 897. Let y = v + u. Solve -x - y = 0, 2*o - 2 = 3*o + x for o. 0 Suppose 33 = -5*a + 33. Suppose 15*g - 690 = 5*g. Suppose f + g - 85 = a. Solve -2*m - f = -4*q, -m + 4*q = 2*m + 16 for m. 0 Suppose -41 = -10*a - 2*a + 7. Solve -7*k = -3*k + 2*f + 4, 3*f + 2 = -a*k for k. -2 Let u(y) = -y + 5*y - 2*y - 30. Let s be (-5 + 37)/(0 - -2). Let h be u(s). Solve -3*a = -2*v - 0*a - 5, -6 = -h*a for v. 2 Suppose -1355*l + 1310*l + 180 = 0. Solve -u - 3*x - 20 = 0, l*u - 20 = 7*u + x for u. -5 Suppose 14 - 14 = -3*g. Suppose 4 = 4*j - 4*w, j - 21 = -g*w - 4*w. Let k be (-4)/((-144)/76 + 12/(-114)). Solve 6 = -o - h - 0*h, 0 = j*o - k*h + 16 for o. -4 Let n be (54/8)/(2/48). Let r = n + -160. Solve 4*l + r*j = -6, 2*l + 0*l + 5*j = 1 for l. -2 Suppose 0 = -263*b + 268*b - 15. Suppose -8 = -x + b*c, -5*x + 11 = -3*c - 5. Solve -5*u + 0*u - 3*i - 14 = 0, x*u - i = -10 for u. -4 Let g(u) = -u**3 - 16*u**2 + 76*u - 63. Let r be g(-20). Solve 12*p + r = 13*p + 3*y, 0 = 4*p - 3*y + 7 for p. 2 Suppose 0 = -2*t - 2*f + 36, -8*t + 5*f - 10*f = -123. Solve 10*s = t*s + 5*x - 17, -2 = 5*s - 4*x for s. 2 Let q = 2920 + -2912. Solve 2*y = 2*z - 6, -5*y - 4*z - 13 = -q*z for y. -1 Suppose 30*o = 84*o - 594. Solve -4*c - 3 = j + 21, -o = 3*c - j for c. -5 Suppose 242 = 13*f + 10*f + 196. Solve -g + 20 = 5*i, -73*g - 19 = -78*g + f*i for g. 5 Suppose -7*g + 535 = 472. Solve -2*i = -o - g, 3*o - 12 = -2*i + 5*o for i. 3 Let m = -238 - -266. Suppose 9*r + 57 = m*r. Solve -r = -3*z - 5*c + 2, 4*z = -4*c - 4 for z. -5 Let o(q) = -q - 4. Suppose 3 - 4 = -z. Let v = -6 - z. Let r be o(v). Solve 2*i + i - 6 = 2*b, 2*i = -r*b + 4 for i. 2 Let b(t) = 2*t**3 - 101*t**2 - 38*t - 618. Let r be b(51). Solve 0 = -2*l + 43 - r, 2 = -2*n - 2*l for n. 0 Suppose 4*u = 7*u + 147. Let y = 101 + u. Let m = 55 - y. Solve 2*j = 3*b - 19, 3 = 4*b - m*b + j for b. 5 Suppose -3*f - 51 - 6 = 0. Let d = 29 + f. Suppose 39*h = -10*h + 245. Solve -m + h*c = -24, -6*m = -m - 3*c - d for m. -1 Let x = 32 + -32. Suppose 2*n - 20 = -3*n, x = -3*b - 5*n + 56. Let j be 20/7 - b/(-84). Solve 3*i + j*l + 5 = -10, 4*l + 13 = 3*i for i. -1 Let n(t) = -3 + 2 + t - 1 + 1. Let k be n(3). Let u = 8438 - 8433. Solve -q - 2*s + 3 = 0, 0 = -u*q + 3*q + k*s for q. 1 Suppose 3*z + 73 = 4*h - 2*h, 7*z = -4*h + 81. Solve -5*c + h = -2*p, -3*p - c - 5 = -4 for p. -2 Let n(p) = 18*p**3 + 3*p**2 - 7*p - 2. Let r be n(2). Suppose 25*d = 11*d + r. Solve -2*t - 7 - d = 3*s, -s + t = 4 for s. -5 Suppose 17*d + 17*d + 10*d - 13*d = 0. Solve 2*t - 2*w = d, -12*t + 16*t - 5*w = 5 for t. -5 Suppose -i - 8 = -3*d, 5*d - 8*i - 11 = -4*i. Solve -4*v + 68 = -5*t + 55, -d*t = 2*v - 1 for v. 2 Let b be ((-8)/(-10))/(8816/(-285) - -31). Let n = 6 - 1. Solve -4*s - 3*v - b = -v, -5*s - n = 5*v for s. -5 Suppose 17 = 3*q - 2*s, 13*s = 8*s - 20. Solve -2*h + 4*v + 6 = 0, 0*v + 10 = q*h - 5*v for h. 5 Suppose 18*u = 23 + 67. Let h be (3/u)/(((-9)/(-10))/3). Solve -m + 18 = -3*i - i, -h*i - 2*m - 4 = 0 for i. -4 Let o be 56/(-7) - ((-154)/14 - 0). Suppose 5*y - y = 0. Solve x = s, 0*x + o*x + 2*s - 5 = y for x. 1 Let g be (5 + 0)*6314/35. Suppose -884 = 6*i - g. Solve 0 = -4*u - 0*u + i*s - 19, 4 = 4*s for u. -4 Suppose -4*f - 20 = -5*r + 7*r, 44 = 4*r - 6*f. Solve 2*m - 4*m - 3*b + 1 = 0, 0 = r*m + 4*b for m. 2 Let w(v) = -3*v**3 + 32*v**2 + 11*v + 5. Let l be w(11). Solve 4*c + 20 = 0, l*p - 11*c - 30 = -10*c for p. 5 Suppose 3*s = -11*x + 133, 7 = 28*x - 27*x - s. Solve 72*o - 71*o + 4*i = -x, -2*o - 5*i - 10 = 0 for o. 5 Suppose -20*u = -25*u + 25. Suppose -11*h - u = -93. Let a = 13 - h. Solve 6 = r - a*t - 5, -9 = r + 5*t for r. 1 Suppose -9 = -4*v - 13. Suppose -14*u = 2*u - 16. Let s be (-2 - (u +
{ "pile_set_name": "DM Mathematics" }
and 43/679920. 308003760 What is the common denominator of 77/24 and 181/11960640? 11960640 What is the least common multiple of 7677832 and 498? 23033496 What is the lowest common multiple of 2160960 and 877890? 28092480 Find the common denominator of -107/20 and 51/29956820. 29956820 Calculate the common denominator of 55/896964 and -53/6. 896964 Find the common denominator of 99/113380 and 33/6340. 35941460 What is the lowest common multiple of 30498 and 27231126? 462929142 Calculate the least common multiple of 146349 and 68691. 478707579 What is the common denominator of -47/39664 and -8/8098893? 129582288 Calculate the common denominator of -143/21345930 and 113/1248300. 213459300 Calculate the least common multiple of 2230140 and 18. 6690420 Calculate the common denominator of 65/951384 and -81/196. 951384 What is the least common multiple of 372 and 14341902? 28683804 Find the common denominator of 59/149844 and 139/15330. 382851420 Calculate the smallest common multiple of 2 and 1990363. 3980726 Calculate the smallest common multiple of 38786175 and 144. 620578800 What is the least common multiple of 171 and 57863816? 520774344 Calculate the lowest common multiple of 15699612 and 47098836. 47098836 Calculate the common denominator of 35/1035416 and 111/8801036. 17602072 What is the common denominator of 41/40846120 and 109/240? 245076720 Calculate the lowest common multiple of 107644 and 5984. 9472672 What is the lowest common multiple of 11706632 and 47824? 163892848 What is the least common multiple of 54529 and 3305? 180218345 Calculate the common denominator of -7/63449042 and 15/444143294. 444143294 What is the common denominator of -39/4834100 and 13/1450230? 14502300 Calculate the common denominator of 149/504360 and -149/7061040. 7061040 What is the lowest common multiple of 2115 and 551700? 25929900 Calculate the smallest common multiple of 1 and 1567666. 1567666 Calculate the common denominator of -29/354128148 and 19/43494. 354128148 Calculate the common denominator of -8/4668889 and 99/3931696. 74702224 What is the common denominator of 125/4485606 and 137/415884? 62798484 What is the lowest common multiple of 13990537 and 3149? 937365979 What is the common denominator of 23/361821 and -23/1447284? 1447284 Calculate the common denominator of 47/15078555 and -76/3015711. 15078555 What is the least common multiple of 1273905 and 509562? 2547810 Find the common denominator of -79/132980 and 73/6500. 43218500 What is the smallest common multiple of 1411046 and 4186? 32454058 Calculate the common denominator of 15/49 and -41/69727. 69727 What is the lowest common multiple of 272731 and 48129? 818193 Find the common denominator of 77/35083305 and 5/21. 245583135 Calculate the common denominator of 5/246 and 113/9312084. 9312084 Calculate the smallest common multiple of 166065796 and 9. 1494592164 Calculate the smallest common multiple of 9296144 and 132. 27888432 Calculate the least common multiple of 3444938 and 673698. 485736258 What is the least common multiple of 10050 and 16920? 5668200 What is the lowest common multiple of 20383 and 36289? 67243517 What is the smallest common multiple of 164492 and 1190148? 20232516 Calculate the smallest common multiple of 22672 and 1140. 6461520 Calculate the lowest common multiple of 12791467 and 824. 102331736 Calculate the least common multiple of 7061186 and 4136. 28244744 What is the common denominator of -17/208 and 29/71752? 1865552 Find the common denominator of 109/10542888 and -107/160182. 115971768 Calculate the lowest common multiple of 4173124 and 55940. 20865620 Calculate the lowest common multiple of 222996558 and 373. 222996558 What is the lowest common multiple of 731580 and 12015? 6584220 What is the lowest common multiple of 4847616 and 4096? 9695232 Calculate the least common multiple of 3170 and 89497025. 178994050 Find the common denominator of -157/462 and -17/2657298. 29230278 Calculate the common denominator of -87/1472848 and 59/973492. 284259664 What is the lowest common multiple of 260470 and 57645? 7032690 What is the least common multiple of 392130 and 4140? 18037980 Calculate the common denominator of 47/87248 and 83/31280. 170569840 What is the lowest common multiple of 65 and 88763985? 1153931805 What is the common denominator of 149/1161612 and 43/1548816? 4646448 What is the lowest common multiple of 4 and 54508768? 54508768 Calculate the common denominator of 19/19901970 and 31/66339900. 199019700 Find the common denominator of -79/18 and 32/89324667. 178649334 Calculate the least common multiple of 81695250 and 78000. 653562000 Find the common denominator of -67/782712 and -43/37272. 782712 Calculate the smallest common multiple of 5565648 and 3130677. 50090832 What is the lowest common multiple of 1403325 and 24640? 89812800 Find the common denominator of 49/5593570 and -53/10. 5593570 Calculate the common denominator of -143/130914 and -143/195890982. 587672946 What is the smallest common multiple of 18328352 and 280536? 54985056 What is the smallest common multiple of 203196 and 6115232? 128419872 What is the lowest common multiple of 496 and 6350226? 50801808 What is the smallest common multiple of 2 and 111048? 111048 What is the smallest common multiple of 16 and 36802188? 147208752 Calculate the lowest common multiple of 4617504 and 6480. 207787680 Calculate the lowest common multiple of 91866 and 242480307. 484960614 What is the lowest common multiple of 54134880 and 90? 162404640 Calculate the common denominator of -13/791614 and -113/30. 11874210 What is the lowest common multiple of 2977150 and 65? 38702950 Find the common denominator of -71/770716 and -1/7. 5395012 What is the common denominator of 1/70733 and 21/218426? 1188455866 What is the least common multiple of 403811 and 1232248? 119528056 Calculate the common denominator of 27/3685157 and 58/77. 40536727 Calculate the lowest common multiple of 702 and 2944797. 689082498 What is the least common multiple of 38037843 and 29584989? 266264901 Calculate the smallest common multiple of 1176 and 17276616. 17276616 What is the lowest common multiple of 10090 and 57709755? 115419510 What is the smallest common multiple of 24 and 170056? 510168 Find the common denominator of 1/10092600 and 25/778572. 272500200 Calculate the common denominator of -27/80 and -57/813232. 4066160 Calculate the common denominator of 1/36125 and -49/2884375. 833584375 What is the common denominator of -55/5318142 and -67/704814? 58499562 What is the common denominator of 111/680350 and -44/8659? 4762450 Calculate the lowest common multiple of 56 and 16922976. 16922976 Calculate the lowest common multiple of 545300 and 27552. 13087200 Find the common denominator of -101/30120 and 71/108432. 542160 Calculate the common denominator of -157/2161440 and -11/3420. 2161440 Calculate the lowest common multiple of 156 and 19188. 19188 Calculate the common denominator of -11/62 and -179/373422. 11576082 What is the lowest common multiple of 16324914 and 20292? 32649828 Calculate the common denominator of -83/170373 and -47/12315534. 86208738 What is the common denominator of 17/110814 and -13/83490? 6094770 What is the common denominator of -11/178415 and -53/5667300? 96344100 Calculate the lowest common multiple of 22541680 and 3220240. 22541680 What is the common denominator of -45/9439724 and -89/8103914? 859014884 Calculate the common denominator of 41/167154086 and 39/104081. 167154086 Find the common denominator of -161/3554430 and -103/860. 305680980 Calculate the smallest common multiple of 3468729 and 5397. 24281103 Calculate the common denominator of 115/23128 and 61/10648. 30783368 What is the common denominator of 117/20004656 and -5/532? 380088464 Calculate the common denominator of -74/13425885 and 61/567. 281943585 Calculate the smallest common multiple of 21311036 and 103368. 127866216 Find the common denominator of -133/117522948 and -67/6654. 117522948 Find the common denominator of 137/793896 and 89/25566. 3382790856 Find the common denominator of 115/78876 and -83/6323226. 37939356 What is the lowest common multiple of 42679 and 43519? 265335343 Calculate the lowest common multiple of 21802 and 344
{ "pile_set_name": "DM Mathematics" }
912 + 2523 + 3213 = 32*w for w. 57 Solve 18415 = -115*o + 22785 for o. 38 Solve 1174 = -166*j - 33 - 1216 + 431 for j. -12 Solve 25*d + 3006 = 2506 for d. -20 Solve -15933 = -b - 15974 for b. -41 Solve -126*u + 246*u - 1484 = 85*u + 88*u for u. -28 Solve -59467 = 1469*q + 69805 for q. -88 Solve 449 = 26*c - 570 + 1565 for c. -21 Solve 12*v - 5443 + 1738 = 77*v for v. -57 Solve 14*s - 12*s = -3*s - s - 360 for s. -60 Solve -6190 = -2137*u + 10027 - 867 + 16705 for u. 15 Solve -954*s - 871 = -85*s + 34758 for s. -41 Solve -321*b + 334*b + 280*b + 27835 = 0 for b. -95 Solve -11171 - 88 = 592*d + 20439 + 7374 for d. -66 Solve 0 = 1170*m - 1155977 + 1221497 for m. -56 Solve 0 = -747*l + 2501*l - 1754 for l. 1 Solve -1691 + 5096 = -299*y - 10648 for y. -47 Solve -6335*t - 2006*t - 238096 = 3995*t - 1027600 for t. 64 Solve 13*z - 118 = 79 - 93 for z. 8 Solve 1704 = 433*d - 17781 for d. 45 Solve 2838*k + 94888 = 1202*k for k. -58 Solve 52994*d - 53127*d + 1197 = 0 for d. 9 Solve 87*z + 87*z = -26*z - 105*z - 16470 for z. -54 Solve -12*t - 86 = -302 for t. 18 Solve -1671*f - 46637 + 4897 = -24518 + 69670 for f. -52 Solve 8*b - 79 = 77 - 116 for b. 5 Solve 11048 - 2664 = -262*w for w. -32 Solve -70*h - 642 - 2752 = 596 for h. -57 Solve 845*k = -45800 + 170 for k. -54 Solve -263*x - 59*x - 25155 = 237*x for x. -45 Solve -22513814 + 22517832 = 49*r for r. 82 Solve -56*t - 8704 = -192*t - 257*t - 151*t for t. 16 Solve 40*k + 173*k = -304*k - 20163 for k. -39 Solve 3*y = -62*y - 55*y - 97*y - 15190 for y. -70 Solve 2669*q - 424595 = -2515*q + 70355 + 189338 for q. 132 Solve 1 = -3*g + 107 - 16 for g. 30 Solve 92 = 211*v + 219*v - 424*v - 118 for v. 35 Solve -2677 = -430*q - 6851 - 11306 for q. -36 Solve 46 = 485*x + 46 for x. 0 Solve -245*q - 173*q - 269*q = -200*q + 18019 for q. -37 Solve -1175 = 205*z - 3430 for z. 11 Solve -87*y + 109*y + 125*y - 8792 = -10*y for y. 56 Solve -1297*z + 1266*z - 1180 - 246 = 0 for z. -46 Solve -85*l + 379 + 445 = -281 for l. 13 Solve 889*o + 922*o + 1457 + 11143 = 11*o for o. -7 Solve 3211 = 128*o - 55*o + 860 - 423 for o. 38 Solve -160*z + 1038*z + 39510 = 0 for z. -45 Solve 15321 + 10686 = -828*d + 3651 for d. -27 Solve -3936*m + 1815 = -4057*m for m. -15 Solve 313*w - 4455 = 412*w for w. -45 Solve 1307 - 742 = 219*d - 2063 for d. 12 Solve -17*w + 906689 - 906740 = 0 for w. -3 Solve -2070*t = -54259 - 7841 for t. 30 Solve -1222 = -37316*q + 37468*q - 9582 for q. 55 Solve 243645 = -89*s + 236080 for s. -85 Solve -125471 = -8*y - 125263 for y. 26 Solve 1124*d = -5256 + 6380 for d. 1 Solve 8001 = -960357*p + 960239*p - 2265 for p. -87 Solve -1087 - 425 = 134*a + 3044 for a. -34 Solve 175*m + 7220 = -605*m + 35300 for m. 36 Solve 157*s - 57360 = -1652*s + 98214 for s. 86 Solve 0 = -136*m + 1499*m + 46*m + 13881 - 126601 for m. 80 Solve -2637*i - 319*i = -168492 for i. 57 Solve 406*s - 913*s + 16758 = -426*s - 252*s for s. -98 Solve 12*p + 1538 = 107*p - 2391 + 1459 for p. 26 Solve -1053*v + 2173*v - 892*v = 2736 for v. 12 Solve -12253 + 4823 - 25739 = 575*t + 27206 for t. -105 Solve 139*j - 787*j - 40715 = 459*j + 67771 for j. -98 Solve 2*l + 19145 - 19045 = 4*l for l. 50 Solve -5265*f = -5532*f + 1780 + 356 for f. 8 Solve -13947*o + 451574 = -2933*o for o. 41 Solve -749*u - 109*u = 455*u + 17252 + 70719 for u. -67 Solve -361*m - 216471 = -197699 for m. -52 Solve 214*i + 12639 = -2341 for i. -70 Solve -61*d + 9729 - 4300 = 0 for d. 89 Solve 0 = -4295*c + 84262 - 204522 for c. -28 Solve 1263*d + 10128 = -15343 - 78095 for d. -82 Solve 0 = 116*j + 68*j + 2892 + 4284 for j. -39 Solve 0 = 382*m + 1043 - 13649 for m. 33 Solve -58345 + 257625 = -3184*d - 33152 for d. -73 Solve 5763*b - 64397 + 85453 = -209464 for b. -40 Solve -4001*h = 3201*h - 777816 for h. 108 Solve -607*n = -18595 - 23895 for n. 70 Solve 8950 = -515*l - 1463 - 12762 for l. -45 Solve -231*m = -31*m + 52*m + 13356 for m. -53 Solve -14477*p = -15417*p + 7520 for p. 8 Solve 593*v - 10935 = 176*v + 3660 for v. 35 Solve -2382*o - 5088 = -3230*o for o. 6 Solve 3147*h = 2838*h + 4326 for h. 14 Solve 34621 + 8934 = 8711*m for m. 5 Solve 3175*j - 38218 - 49639 - 23268 = 0 for j. 35 Solve -293*k - 248816 = -3350*k - 74567 for k. 57 Solve -1511*p - 1788*p + 95671 = 0 for p. 29 Solve 0 = 445*g + 627179 - 625399 for g. -4 Solve 5*z = -129337 + 129617 for z. 56 Solve 0 = 160*g + 213330 - 205010 for g. -52 Solve 27575*g = 28191*g + 14784 for g. -24 Solve 302*j - 7410 = -1974 for j. 18 Solve -735*h - 185*h + 85527 = 1273*h for h. 39 Solve -19*j + 49198 - 49046 = 0 for j. 8 Solve 32*l + 2593 + 2566 - 5223 = 0 for l. 2 Solve -2046787*k + 2046045*k = -2704 - 44784 for k. 64 Solve 5038 = -2516*b - 19838 - 45572 for b. -28 Solve -6175*j = 300644 + 255106 for j. -90 Solve 2*s - 1392 = -1322 for s. 35 Solve 0 = -295*a - 7404 + 29824 for a. 76 Solve -5*h + 29 = -35 + 29 for h. 7 Solve -53928 = 912*i + 25416 for i. -87 Solve 91*o - 3165 - 2080 + 786 = 0 for o. 49 Solve 2607 = -804*o + 27531 for o. 31 Solve -101*v - 22*v + 3762 = -57*v for v. 57 Solve 222*w = 64*w + 728 + 62 for w. 5 Solve 52*y - 150*y = -6314 - 4564 for y. 111 Solve 1304*v - 65120 = -863*v - 163*v + 295*v for v. 32 Solve -29*j = 64*j - 31577 + 36599 for j. -54 Solve -2639*w - 7237 - 14700 = 9731 for w. -12 Solve -2995 - 5545 = -854*d for d. 10 Solve -6435 - 13437 = -368*m for m. 54 Solve -468*w - 97*w = 111*w + 20956 for w. -31 Solve 13*f = 6741 - 7131 for f. -30 Solve 6628 + 5735 - 13053 = 15*u for u. -46 Solve 141*m - 31*m = -2778 + 10478 for m. 70 Solve 756*y + 3462 = 601*y - 8628 for y. -78 Solve -69 = -1425*u + 1494*u for u. -1 Solve 131640*u - 131283*u - 26061 = 0 for u. 73 Solve -69*z - 151 = 19 + 565 + 93 for z. -12 Solve -54*i - 50*i = 24*i + 2944 for i. -23 Solve 0 = -1436*q - 11985 + 197229 for q. 129 Solve -17940*o = -17712*o + 12084 for o. -53 Solve -400*k + 104 + 97 - 201 = 0 for k. 0 Solve -53*w - 50*w - 2860 = -79*w + 31*w for w. -52 Solve -31*i = -117*i - 4860 - 902 for i. -67 Solve 0 = -37*m - 205 + 94 for m. -3 Solve 44*l + 1631 = 18*l - 89*l - 5039 for l. -58 Solve 0 = -15661*b + 8045*b + 7872*b + 14848 for b. -58 Solve 308*w + 14271 = 276*w + 233*w for w. 71 Solve -4051*n - 156185 = 15402*n - 2393280 for n. 115 Solve -2338*f = -401*f + 44551 for f. -23 Solve 184*z + 1254 = 250*z for z. 19 Solve -186*y - 2194 = -736*y - 18144 for y. -29 Solve 768*b + 187*b - 2424 = -8949*b - 527336 for b. -53 Solve 3055*j = 4952*j - 30352 for j. 16 Solve -1030*f + 12100 = -13650 for f. 25 Solve 1163*a - 12119*a - 1456*a + 594259 - 1636867 = 0 for a. -84 Solve 7106*v + 149066 - 312980 - 159775 = 2547*v for v. 71 Solve 4437*v - 231916 = -1831*v for v. 37 Solve -481*v = 36025 - 14380 for v. -45 Solve -347 - 938 = -227*v + 77 for v. 6 Solve 242*f + 597 + 5672 = -289 - 218 for f. -28 Solve 0 = -53*l - 666 - 551 - 711 - 3796 for l. -108 Solve 1221*c + 17193 = 864*c - 1206*c for c. -11 Solve 31*t - 272*t + 10061 = -5212 + 2741 for t. 52 Solve 186*k + 6523 + 5939 = 0 for k. -67 Solve 35*h + 448 + 624 = -13 for h. -31 Solve -144*u - 128*u + 3 + 9938 = -2027 for u. 44 Solve -9574*d - 153606 = 2744*d + 5600*d + 97246 for d. -14 Solve 1540*h - 13693 - 1707 = 0 for h. 10 Solve -261*u = -42*u + 2740 + 983 for u. -17 Solve 0 = -110*h + 25*h + 2712 - 842 for h. 22 Solve 508*t = -1341 - 21011 for t. -44 Solve -620*j + 4585 - 13361 = 9129 - 2405 for j. -25 Solve 94*h = -17*h - 1143 - 1559 - 295 for h. -27 Solve 54477 - 53499 = -163*a for a. -6 Solve 1107*n - 289137 = 4216*n for n. -93 Solve -335 = -342*g + 64 + 345 - 60 for g. 2 Solve -1997*x = 344*x + 201326 for x. -86 Solve -356*h + 461*h = -2497 - 653 for h. -30 Solve -2450 = 356*m - 655*m + 349*m for m. -49 Solve 2851 = 2949*k + 170944 for k. -57 Solve 159594*m - 159108*m = -16038 for m. -33 Solve 11210 = -157*g - 15*g - 221*g + 98*g for g. -38 Solve 960*f + 989*f + 8435 = 2190*f for f. 35 Solve 0 = -3771*v - 51693 + 122242 + 178337 for v. 66 Solve 238*d + 4728 + 14364 = 3*d - 23*d for d. -74 Solve -322*y - 329*y + 13544 + 44395 = 0 for y. 89 Solve -34*g + 280*g + 1655 = 25*g - 1881 for g. -16 Solve 383*o = -4445*o + 28968 for o. 6 Solve 12936 = 1122*a - 16236 for a. 26 Solve 1599*h + 38299 + 67820 = 27768 for h. -49 Solve -2269*r - 63634 = 49816 for r. -50 Solve 0 = -60*s -
{ "pile_set_name": "DM Mathematics" }
5 = -5*q. Calculate the lowest common multiple of 18 and b. 198 Let f = 698 + -5573/8. Let p = 1158473/7 - 164848. Let c = p - 643. What is the common denominator of f and c? 56 Let t be (-71309)/(-9) + (-8)/36. Let j = -174359/22 + t. Find the common denominator of j and 79/20. 220 Suppose -4*r - 35 = -3*c - 3, -4*c + 3*r = -38. Let p = -2 - 0. What is the least common multiple of 2 and ((c - -1) + p)/1? 14 Let r = 49 + -99. What is the common denominator of (-88)/(-12) + 1*-4 and r? 3 Let p = -1498 + 2241. Find the common denominator of 58/((84/(-9))/1) and (-6)/(-21) - p/(-70). 70 Let a = -36973/18 - -2051. Let c = 78677/3536 + -1/3536. Calculate the common denominator of c and a. 36 Let z = 3 - 3. Suppose 0 = -z*r + 5*r + 18530. Let o = r - -37009/10. What is the common denominator of 83/10 and o? 10 Let h be ((-204)/(-15))/((-6)/40). Let v = -2513/30 - h. What is the common denominator of v and -31/10? 10 Let b = -640195109/241410 + -7/24141. Let g = 2657 + b. Find the common denominator of 145/6 and g. 30 Find the common denominator of 95/6 and 1235/(-120) + (-6)/(-48). 6 Let i(k) = -k**3 + 5*k**2 + 12*k + 15. Calculate the lowest common multiple of i(7) and 6. 6 Let i = 288 - 180. Find the common denominator of (-118)/(-4)*(-24)/i and 31/11. 99 Let p = -44393/8 + 5541. Let c = -3109/5 + 610. Find the common denominator of p and c. 40 Let n = 2/113 + 1124/339. Calculate the common denominator of n and 8. 3 Let h(j) = -j**2 + j - 4. Let s(y) = 3 - 1 - 5 + 5. Let m(c) = -2*h(c) - 5*s(c). What is the least common multiple of 5 and m(-2)? 10 Let z(m) = 0 + 2*m - 5 - 1. Calculate the lowest common multiple of z(5) and 11. 44 Let f(j) = j + 10. Let h be f(-8). Suppose 4*q - h - 6 = 0. What is the lowest common multiple of 3 and q? 6 Let r = -577447/58330 - 2/5833. Calculate the common denominator of r and ((-258)/(-60))/((-2)/4). 10 Let u = -291 - -2231. Find the common denominator of 0 - (-19)/(-10) - 0 and (2/20)/(32/u). 80 Suppose 4*k + 3*b + 32 = 0, -5*k - 5*b - 47 = -2. Suppose 17 = 5*p - 28. What is the least common multiple of p and (-86)/(-10) - 2/k? 9 Let x be (-7)/(((-3)/(-6))/(-1)). Suppose 2*u - 4*a = -x, 0 = u - 0*u - 4*a + 15. Find the common denominator of u - (-2 + 8/(-18)) and -57/10. 90 Let r(y) = 1389*y - 1. Let m be r(-5). Let b = m - -152905/22. Calculate the common denominator of 17/12 and b. 132 Let m = -680629531/84406 - 169/6029. Let d = m + 8070. Find the common denominator of 27/14 and d. 14 Let h = 6173 + -49473/8. Calculate the common denominator of h and 31/9. 72 Let d(g) = g**3 + 8*g**2 - 11*g - 2. Let l(u) = 14*u**2. Calculate the least common multiple of d(-9) and l(1). 112 Suppose -7*j + 10 = -2*j. Let h be ((-6)/(-9))/((-4)/6). Calculate the lowest common multiple of 2 - (2 - (-3)/h) and j. 6 Suppose -2*n + 92 - 56 = 0. What is the lowest common multiple of n and 22? 198 Suppose 0 = -v + z - 2, 0*v - 5*v - z = -14. What is the least common multiple of v and 10? 10 Calculate the common denominator of -63/10 and (2/(-8))/(((-196)/776)/7). 70 Let v be (-28)/((-2)/(-2))*1. Calculate the common denominator of (-13)/v*(7 - -3) and (-745)/(-84) + (-6)/21. 84 Calculate the common denominator of (-4)/(-18) + 10572/(-432) and 11/10. 20 Find the common denominator of -131/36 and 41/(-5)*(-35)/(-112). 144 Let v(y) = -y + 1. Let x be v(-5). What is the least common multiple of (x/3)/((-1)/(-3)) and 2? 6 Let v = -57559/2766 - 11/461. Let h = -127287/10 + 12718. Calculate the common denominator of h and v. 30 Find the common denominator of -16/5 and 68/116 + 2/2. 145 Suppose -13 = 2*n + 27. What is the lowest common multiple of (12/10)/((-6)/n) and 22? 44 Let z = 25 - 22. Calculate the lowest common multiple of 4 and z. 12 Suppose -3*m - 3*c + 2*c = -32, 0 = 2*m - 5*c - 44. Let x be 2/5*(15 + -10). Suppose -30 = -3*t - x*t. What is the least common multiple of m and t? 12 Let z = 8476 - 17808078/2101. Let w = z - 128149/12606. Find the common denominator of w and -43/3. 6 Let q(l) = -l**3 - 5*l**2 + 4*l - 2. Suppose 0 = -5*b + 26 + 4. What is the lowest common multiple of b and q(-6)? 30 Suppose p - o = 3, -6*p + 4*o - 28 = -7*p. Let t(y) = y**2 - 2*y - 4. Calculate the lowest common multiple of t(-4) and p. 40 Let x = 3/385 - -1569/770. Find the common denominator of (258/45)/(16/(-20)) and x. 66 Suppose 3*w - 6 = 2*w. Calculate the lowest common multiple of ((-30)/4 + 3)*-2 and w. 18 Let f = 52 + -48. What is the lowest common multiple of 18 and f? 36 Suppose -4*c = -326 - 674. Let h be (-1134)/c*(-33)/(-18). Let m = h - -2/125. Find the common denominator of -32 and m. 10 Let f(n) = n**3 - 9*n**2 - n + 10. Suppose 8*y + 50 = 5*c + 3*y, -3 = 3*y. What is the lowest common multiple of 3 and f(c)? 3 Suppose 6*b - 12 = 2*b. Suppose n - 22 = -b*u, -7 + 59 = 3*u - 5*n. What is the least common multiple of 7 and u? 63 Calculate the common denominator of (-758)/40 + 4/20 and 3/15 - (-48)/5. 20 What is the common denominator of 3/3 - 292/(-8) and -111/14? 14 Suppose 5*b = 9 - 4. Let s be (b + -7)*(-2 + 1). Suppose h + 100 = s*h. What is the least common multiple of h and 22? 220 Suppose 11 = -3*i + s, 4*i = 6*i - 4*s - 6. What is the common denominator of -81/14 and i/(10/(-9))*-9? 14 Suppose 5*g - 71 = -1. What is the lowest common multiple of 4 and g? 28 Let o = -1397 + 16717/12. Calculate the common denominator of o and -53/24. 24 Suppose x = -3*x + 32. Let p = x - 4. Suppose 4*y = -5*h + 8*y + 50, 4*h + 2*y - 66 = 0. Calculate the least common multiple of p and h. 28 Let d(c) = c**2 - 8*c + 1. Let l be d(8). Let b = -316 + 657/2. Find the common denominator of b and 18*((-102)/88 + l). 22 Let q = -35169/16 + 2201. Let f(v) = -v**2 + v + 2. Let n be f(3). Find the common denominator of q and (146/(-33))/(n/3). 176 Suppose 3 + 13 = t. Let d(z) = -2*z - 10. What is the lowest common multiple of t and d(-8)? 48 Let b = 586490385/31823908 - -48/89393. Let o = b + -226/267. Let z = o - 13/3. Find the common denominator of z and -17/2. 4 Let m = -5 - -10. Suppose -26 = m*y - 106. What is the lowest common multiple of y and 3? 48 Let d = -1824 + 29167/16. Calculate the common denominator of -55/4 and d. 16 Let g = -18053/5 + 3598. What is the common denominator of g and -133/6? 30 Let r(x) = -x**2 - 2*x + 6. Let j be r(0). Calculate the common denominator of 0 - -2*83/20 and (0 - 2) + 73/j. 30 Let h be (-17 + -4)*(-6)/(-7). What is the lowest common multiple of -2*4*3/(-2) and 4/h - (-364)/18? 60 Let r = -4 + -4. Let l(g) = g**3 - 6*g**2 - 7*g + 4. Let k be l(7). Find the common denominator of 81/16 and k/r + (-61)/(-9). 144 Suppose -j + 2 = -2*o + j, 4 = o + 4*j. Suppose o = 5*q + 6 + 4. Calculate the least common multiple of 1 and (-3)/q - (-1)/2. 2 Let n be ((-10)/3)/(1/13). Let a = -20 - n. What is the common denominator of a and -101*(8/4)/(-12)? 6 Let q = 28 - 20. What is the least common multiple of q and 14? 56 Let f(t) = -t**3 + 3*t**2 + 5*t. Calculate the least common multiple of 4 and f(4). 4 Suppose 3*v - v = 50. Let g(p) = -p**2 + 8*p - 3. Calculate the least common multiple of g(7) and (90/v)/((-2)/(-10)). 36 Suppose -h - 3*k + 28 = -k, 0 = -h + 3*k + 3. Calculate the lowest common multiple of 22 and h. 198 Let u = 168955/18 - 9382. Find the common denominator of u and 9/2. 18 Let d = -4 + 7. Find the common denominator of (303/45)/(2/d) and 15/14. 70 Let z be 1173/135 - (-1)/(-5). Let f = z + 1/90. What is the common denominator of f and -89/18? 18 Let x = 1435/39 - 554/15. Let k = -609662087/130 - -4689682. Let r = x + k. Find the common denominator of r and 49/5. 10 What is the lowest common multiple of 26 and (-132)/(-8) + 4/(24/9)? 234 Let t be 0/6 + -3*1. Calculate the lowest common multiple of (2 + -9)/(-1) + 0 and 22/8*(-12)/t. 77 Let q be 4 + -2 + 0 - 2. Let v(z) be the third derivative of -z**5/60 - z**4/24 + 5*z**3/6 - 7*z**2. What is the smallest common multiple of v(q) and 6? 30 Suppose k + k + 5*y = -19, 2*k - 2*y - 16 = 0. Suppose -5*z - k*c - 4 = -2, 4*c = -16. Calculate the lowest common multiple of z and 2. 2 Calculate the common denominator of 3 + (3 - (-212)/(-84)) and 58/7. 21 Let o = 86881/10332 - 23/1148. Let v(r) = 4*r + 2. Let c be v(-5). Find the common denominator of ((-194)/10)/(c/5) and
{ "pile_set_name": "DM Mathematics" }
the nearest to -2? (a) -2/3 (b) 1/6 (c) -5 a Which is the closest to -0.2? (a) -4 (b) -0.42 (c) 2 (d) 5 b What is the nearest to 1/3 in 0.1, 2, 1? 0.1 Which is the closest to 14/11? (a) 1 (b) 1/2 (c) 1/3 (d) 2 a What is the closest to 13 in -5, -46, -0.1? -0.1 Which is the closest to 0.1? (a) 52 (b) -0.1 (c) 8 (d) 1/6 d What is the closest to -0.7 in 0, -3, 2/11? 0 Which is the closest to -3/2? (a) -0.5 (b) 4 (c) -1/3 a Which is the nearest to 4? (a) -2 (b) 3 (c) -1 b What is the nearest to -2/5 in -2/21, -1, 0.3, -6? -2/21 Which is the nearest to 3? (a) -0.5 (b) -4 (c) -2/3 (d) -0.15 d Which is the closest to 2? (a) -4 (b) -0.17 (c) 0.1 (d) -5 c What is the nearest to 0 in 0.22, 1, 0.4? 0.22 What is the nearest to 1 in -3, -5, 1, 0.4? 1 What is the closest to 5 in -2/3, 2, -2/5? 2 What is the closest to 0.1 in -1/5, 26, 0, 3? 0 Which is the nearest to 9? (a) -3 (b) -1/4 (c) -1 (d) 8 d What is the nearest to 1 in 0.3, -0.2, -0.02? 0.3 Which is the closest to 0.2? (a) 5 (b) 2 (c) 3/17 (d) -2 c Which is the closest to -1? (a) -3 (b) 1/7 (c) -14 (d) -0.06 d What is the nearest to 169 in 2, -0.5, 1/3? 2 Which is the nearest to 2? (a) 8 (b) -6 (c) 0.3 (d) 1/13 c Which is the nearest to 0.2? (a) -2/3 (b) -4 (c) 2 (d) -2/33 d What is the closest to -22 in 31, 1/6, -1/10? -1/10 Which is the nearest to 11/5? (a) 3/2 (b) 0.5 (c) -2/9 (d) 10 a What is the nearest to -2/17 in -0.1, 22, -1/5, -0.4? -0.1 What is the closest to 0.2 in 2, -0.07, 9? -0.07 What is the closest to -1/4 in -118, -0.01, -1/2? -0.01 What is the nearest to 3 in 0.7, -8/5, -0.09? 0.7 What is the nearest to 2 in -0.07, -0.4, 1? 1 Which is the closest to 5/6? (a) 10 (b) 9 (c) -2 c Which is the closest to -4? (a) -0.14 (b) -1 (c) -3 c What is the nearest to 7 in 1/5, -1/6, -5, 1? 1 Which is the closest to -16? (a) 0.5 (b) -2 (c) -0.7 (d) -1/3 b Which is the nearest to 0? (a) -15 (b) 7 (c) -4/7 c Which is the nearest to 2/7? (a) -2/9 (b) 2/37 (c) -1/4 (d) 1 b Which is the nearest to 0.09? (a) 0.2 (b) 3 (c) 1/11 c Which is the nearest to -3? (a) -5 (b) -0.5 (c) 2 a What is the closest to 5 in 0.4, -1/4, -0.3, -9? 0.4 Which is the closest to 1/2? (a) 5 (b) -5 (c) -17 a What is the closest to 6/11 in 6, -4, 0.4, -5? 0.4 What is the closest to -0.1 in -0.2, 1, -1? -0.2 Which is the closest to 0? (a) -1/2 (b) 1/4 (c) -0.3 (d) 5 b Which is the closest to 0? (a) -11 (b) 3/4 (c) -4 (d) -6 b What is the closest to 0.2 in -3, 3/8, 0.3? 0.3 What is the closest to 1/2 in 0.3, 0.4, 2, 69? 0.4 What is the closest to -1/4 in 1, 0.3, -1.8, -0.5? -0.5 What is the closest to 0.1 in 10, 0.4, -3, -6? 0.4 Which is the nearest to -1? (a) 152 (b) -8/5 (c) 3/2 b Which is the nearest to 2? (a) -13 (b) -1/7 (c) -2/13 (d) -0.1 d Which is the closest to 13? (a) 13 (b) 8 (c) 4 a What is the nearest to 0.1 in -5, 2, 0, 0.15? 0.15 Which is the closest to 0.2? (a) 48 (b) 0.1 (c) 2/7 (d) 1/4 d What is the closest to -1/4 in 1, 3, -78? 1 Which is the closest to -1? (a) 4 (b) -1 (c) -4/3 (d) 1 b Which is the nearest to 311/5? (a) 0.1 (b) -0.2 (c) 0 a Which is the nearest to -2/9? (a) 8/13 (b) 0 (c) -2/5 c What is the closest to 2/9 in -0.01, 10, -1? -0.01 What is the closest to 15.2 in -4, 0, -0.08? 0 What is the nearest to 2/5 in 3/5, 4, 5/43, -0.3? 3/5 What is the nearest to -2 in -2/7, -0.1, -0.9, 2? -0.9 What is the closest to 1/5 in -38, -7, 5, -4? -4 Which is the nearest to 0.1? (a) -2 (b) -3 (c) 0.02 c Which is the closest to -1.4? (a) -2/253 (b) -2 (c) -1 (d) 3 c Which is the nearest to -3? (a) 2 (b) 4 (c) 8 (d) 5 a What is the nearest to -1/353 in 1, -5, 0.2? 0.2 What is the closest to 1 in 9, 3, -3, 1? 1 Which is the closest to -0.1961? (a) -1/2 (b) 0.4 (c) 2 a Which is the nearest to 0? (a) -1 (b) -6 (c) -7 (d) -5 a What is the closest to 2/7 in 1/12, 2, 0.5, -5/3? 1/12 What is the nearest to 1 in 3, -5, 2/5, 0.3? 2/5 What is the closest to -1/3 in -0.7, -4, 6? -0.7 What is the closest to 1/2 in 1, -0.89, 0.02? 0.02 What is the closest to -2 in 4, 5, 0.16, -0.09? -0.09 What is the nearest to 1 in -4, 0.4, -0.052? 0.4 Which is the nearest to -2? (a) -10 (b) -2/21 (c) 1/11 (d) 2 b What is the closest to -2 in -0.5, -5/6, -0.19, -1/5? -5/6 Which is the nearest to -1/3? (a) -1/3 (b) -0.5 (c) -2/7 (d) -12 a Which is the closest to 1? (a) 2 (b) -0.5 (c) 13 a What is the closest to -82 in 0.5, -0.3, -4, -2/7? -4 Which is the nearest to 0.1? (a) 2/9 (b) 0.5 (c) -4/5 (d) -5 a What is the closest to 2/5 in -2, 81, 2/9? 2/9 Which is the closest to 0? (a) 1.35 (b) -2/9 (c) -1/3 b Which is the nearest to -3/2? (a) 4 (b) -4 (c) 3 (d) -0.2 d What is the nearest to -12 in 2, -23, 3? -23 Which is the closest to 0? (a) -2 (b) 3 (c) 15 (d) -0.031 d Which is the nearest to -2? (a) -0.08 (b) 3 (c) 0.3 (d) -1 d What is the nearest to -1/3 in 8/5, -78, 2? 8/5 Which is the nearest to 1? (a) -0.2 (b) 1/2 (c) 11 b What is the closest to 21/10 in -2/13, 5, 4, 3? 3 Which is the closest to -0.1? (a) -3 (b) -1 (c) 0.04 c Which is the closest to -2/5? (a) 1.6 (b) -96 (c) 2/9 c What is the nearest to -32 in -125, 0.4, -0.4? -0.4 Which is the nearest to -0.01? (a) -0.2 (b) -9 (c) 0.2 (d) -2 a What is the nearest to 1/2 in 3, 7, -3, 61? 3 What is the nearest to 8 in 7, -4/5, 1/3, -7? 7 Which is the nearest to 0.03? (a) -4 (b) -3 (c) -5 b Which is the closest to 1? (a) -16 (b) -8/7 (c) 3 (d) 2 d What is the nearest to -0.4 in -3, -1, 0.3? -1 What is the nearest to -2 in -0.2, 0, 4.8? -0.2 Which is the nearest to -1? (a) -2 (b) 7 (c) -0.3 (d) -6 c What is the closest to -4 in -4, -1, -0.2, 0.5? -4 Which is the nearest to 2? (a) 4 (b) 1/19 (c) 0.3 c Which is the closest to 0.1? (a) 0.5 (b) -3 (c) -1/2 (d) -0.02 d What is the closest to -3 in 648, -5, -2? -2 What is the nearest to 2/3 in 1/4, 7, 9? 1/4 What is the closest to 0.3 in -0.4, 38, 0.04? 0.04 What is the nearest to 2 in 6, -3, -4? 6 Which is the closest to 1? (a) -1 (b) -2/15 (c) 60 (d) -3/2 b Which is the nearest to -1/2? (a) -3 (b) 0.15 (c) 0.1 c What is the nearest to -8 in 2, 5, -1/6? -1/6 What is the closest to 0.15 in -0.1, -14, 0? 0 What is the nearest to -0.1 in -51, -1/6, -1/3, -2? -1/6 What is the nearest to -1 in 0.4, 12, -0.4? -0.4 What is the nearest to 0.06 in 5, 0, -1, 2/9? 0 What is the closest to 2 in -1/5, 9/2, 6? -1/5 What is the closest to 0.2 in 0.5, 0.1, -0.5, 3? 0.1 What is the closest to -12/19 in 1/5, 2/11, 0, 2? 0 What is the closest to 1 in 6.4, 0, -40? 0 Which is the closest to -2? (a) 2 (b) -13 (c) -1/4 (d) -3 d Which is the nearest to -3? (a) -2/3 (b) 4 (c) -1 (d) -0.3 c What is the nearest to -0.7 in -4, 2, 4, -5? 2 Which is the closest to -2/7? (a) 3 (b) 4 (c) -13 (d) 0.5 d Which is the closest to -2? (a) 0.5 (b) -3 (c) -11/6 (d) 0.1 c Which is the closest to 0.5? (a) 0.4 (b) 0 (c) -0.2 a What is the closest to 0.2 in -0.4, 75, 0.2? 0.2 Which is the nearest to 10? (a) 0.2 (b) -3/2 (c) -0.2 (d) 2 d Which is the closest to -1663? (a) 2 (b) 0.2 (c) -0.4 (d) 3 c What is the nearest to 0.2 in 26, -0.9, -2/5? -2/5 What is the nearest to -1/4 in 0.4, 1/9, 3/2, -2/11? -2/11 Which is the closest to 1/11? (a) 4 (b) -1/3 (c) 2 (d) 5 b Which is the nearest to -0.1? (a) 11 (b) 0.3 (c) -1/3 c Which is the closest to 2/5? (a) 0 (b) 5/3 (c) 0.1 (d) 2 c Which is the closest to 2? (a) -3/7 (b) -5 (c) -8 (d) -3 a Which is the nearest to -1/2? (a) 5 (b) 3 (c) 7 (d) 18 b What is the nearest to 0 in -1/2, -2, -1/15, -1/3? -1/15 What is the closest to 1 in 6, 1/7, 0.1, -89? 1/7 What is the nearest to 0.1 in 0.01, -2/9, 5, -71? 0.01 Which is the nearest to -1? (a) -0.4 (b) 1/2 (c) -3/8 (d) 0.07 a Which is the nearest to 1.6? (a) 0 (b) -0.5 (c) 1 (d) -2/15 c What is the closest to -1/2 in 6/7, -0.1, 12, 0? -0.1 What is the nearest to 2/5 in 2/5, 3, -19? 2/5 Which is the nearest to 1? (a) -1 (b) -156.7 (c) -5 a What is the nearest to 0.2 in 5, -0.2, -3, -1/3? -0.2 Which is the closest to -0.04279? (a) -0.3 (b) -0.4 (c) 0 c What is the nearest to -1/3 in -10, -6, 5? 5 What is the nearest to -2 in -6/7, -3/11, 2/25? -6/7 Which i
{ "pile_set_name": "DM Mathematics" }
factor of w and 16. 16 Let t(h) = h**3 + 9*h**2 + 6*h - 1. Let y = 2 + -10. Let g be t(y). What is the highest common factor of 3 and g? 3 Let x(m) = 6*m - 26. Let u be x(5). Calculate the highest common divisor of u and 14. 2 Let t(j) = 2*j - 4. Let x be t(6). Calculate the highest common divisor of 4 and x. 4 Suppose 0*j - 2*w - 34 = -4*j, 2*j + 3*w + 3 = 0. Suppose -i + 0 = -j. Suppose -i = -3*a + 225. What is the highest common factor of 7 and a? 7 Suppose k - 4 = 0, 0*m + 3*k = -3*m + 24. Suppose 2*q = 3*q + 7. Let u be 2/q + (-114)/(-7). Calculate the greatest common factor of u and m. 4 Let c be 0/(-2)*1/2. Suppose c*s - 5*s = -25. What is the highest common factor of s and 5? 5 Suppose 2*p - 69 = 477. Calculate the highest common divisor of p and 21. 21 Suppose 90 = 3*x - r, -3*x = -x - 4*r - 70. Suppose 2*c = -2*q - 1 - 1, 0 = c - 5*q - x. Calculate the highest common divisor of c and 6. 2 Let s = 30 - 15. Suppose -6 = f - 16. What is the greatest common factor of s and f? 5 Let b be 7/(-14) + (-2)/((-8)/242). Let w be 22 - -4*2/(-4). Calculate the highest common factor of b and w. 20 Let q be (-3)/(-1) - -7 - -1. Let b = q - 10. What is the highest common factor of b and 2? 1 Suppose -a - 3*o = -2, a - 5*o - 2 = -0. Let f be 20 + (a - 4) + -2. Calculate the greatest common factor of 4 and f. 4 Suppose 73 = -5*m - 132. Let t = m + 96. What is the greatest common factor of t and 11? 11 Suppose -2*z = -v + 21, 38 = 2*v - 0*z - 3*z. What is the highest common factor of v and 26? 13 Let n(x) = x**3 - 10*x**2 + 3*x - 10. Let w be n(10). Calculate the greatest common factor of w and 10. 10 Let c(t) = 2*t**2 - 2*t - 3. Suppose -2*z = 2*z - 28. Let n be c(z). What is the greatest common factor of n and 9? 9 Let q(m) = 2*m. Let y be q(-1). Let l be 2 + -1 + (-1 - y). Suppose 4*k = l*k + 16. What is the greatest common divisor of k and 64? 8 Suppose 0 = -g - 2 - 86. Let h be (-4)/(-20) - g/10. Let m(z) = z**3 - z**2 + z. Let n be m(2). Calculate the greatest common factor of n and h. 3 Let n = 164 - 153. What is the highest common divisor of n and 11? 11 Suppose 5*l - l + 2*y - 22 = 0, 0 = 4*y - 4. What is the highest common divisor of 10 and l? 5 Let y be 1/(-1 + 3/6). Let z be y/3 + 28/6. What is the greatest common divisor of z and 32? 4 Suppose 2*x - 14 - 18 = 0. What is the greatest common factor of x and 176? 16 Suppose 2*d + 2*x = 6*d - 56, -2*d = -5*x - 44. Let k be 376/3 + d/18. Let y(f) = -2*f. Let z be y(-7). Calculate the greatest common factor of k and z. 14 Suppose 0 = -13*b + 18*b - 20. Suppose -q + 7 + 1 = 0. What is the greatest common divisor of q and b? 4 Let d be (-7)/(14/(-4)) + 19. Suppose 0 = 2*r + r - d. What is the highest common divisor of r and 56? 7 Suppose 2*d + d - 632 = 5*r, 0 = 4*d - 2*r - 852. Let m = d - 97. What is the highest common factor of 13 and m? 13 Let s be -2 - (-72 + -1 + 3). Suppose q - 57 = 5*t - 21, 4*q - s = t. Calculate the greatest common factor of 24 and q. 8 Suppose -3*l + 4 + 2 = 0. Calculate the highest common factor of 10 and l. 2 Let c be (-12 - -8)/(-1 - 119/(-121)). What is the greatest common factor of 22 and c? 22 Let u = -7 + 6. Let h be 30 + 1 + u + 0. Suppose -4*a - 4*p + 296 = 0, 4*a - 125 = 3*p + 178. What is the highest common divisor of h and a? 15 Suppose -12 = -3*v + 3*w + 3, -4*v - 1 = 3*w. Let r(z) = z**2 - 11*z - 10. Let o be r(12). What is the greatest common factor of v and o? 2 Let q = -29 + 52. Suppose a - 5*f - 7 = 0, 2*a + 0 = f + q. Let p = 36 + -24. Calculate the highest common factor of p and a. 12 Suppose -9*r + 4*r = -35. Suppose -3*q + 3*h + 159 = 0, -5*h + 183 = q + 2*q. Calculate the greatest common factor of q and r. 7 Let o(x) = x**3 + 12*x**2 - 3*x - 6. Suppose -3*u - 45 + 9 = 0. Let d be o(u). What is the highest common divisor of d and 150? 30 Let y(h) = -h**3 - 20*h**2 + h + 29. Let l be y(-20). Suppose 26 + 67 = b - 2*d, -d = 5*b - 498. Calculate the greatest common factor of b and l. 9 Suppose 3*v = -16 + 1, 5*h - 55 = -3*v. Let l = h + -4. What is the greatest common divisor of l and 90? 10 Let k = 73 + -60. Let y be 0 + 4 + -3 + 1. Suppose -y*n - 3*n = -260. Calculate the highest common divisor of n and k. 13 Let t(i) = 3*i**2 + 5*i - 10. Let l be t(2). Suppose u + 4*u = 40. What is the highest common factor of u and l? 4 Let q be ((-12)/(-10))/((-3)/(-15)). Suppose -2*p + 64 = 2*x - 62, -2*x + 6 = 0. What is the highest common factor of p and q? 6 Let u be 194/8 - (-4)/(-16). Calculate the greatest common divisor of 6 and u. 6 Let z(a) = a**2 + 5*a + 4. Let x be z(-5). Suppose -b = -5*s - 0 - 7, 0 = x*b + 3*s - 97. What is the greatest common factor of b and 154? 22 Let d(t) = -79*t - 2. Let u be d(-1). What is the highest common factor of u and 7? 7 Let o(j) = j**2 + 4*j. Let g be o(-4). Suppose g*c = 5*c - 325. What is the greatest common divisor of 13 and c? 13 Let o = 4 - 0. Suppose -m + 0 = -p - 6, 2*m = 5*p. Calculate the greatest common factor of m and o. 2 Suppose -5*m + 6 = -94. Suppose -2*w - 3*a = -109, w - 3*a = 12 + 29. Calculate the greatest common divisor of m and w. 10 Suppose 2*f = -4*c + 6*f + 224, 0 = 4*c - 5*f - 221. Suppose 4*w = 81 + c. Calculate the highest common divisor of 14 and w. 7 Let l = 332 + -224. Calculate the greatest common divisor of 12 and l. 12 Let w(n) = 31*n**3 - 2*n**2 + 2*n - 1. Let k(m) = m + 8. Let p be k(-7). Let b be w(p). Calculate the greatest common factor of 90 and b. 30 Let v be ((-3)/(-6))/((-3)/(-30)). Suppose 0 = -4*c + v*c - 8. Suppose 0 = 3*l + 2*q - 100, 2*l - 2*q - 62 = -q. What is the highest common factor of l and c? 8 Suppose m - 4*o = 10, 0*m - 3*m - 5*o = -30. Suppose m = -0*a + a. Let v = -12 - -32. Calculate the highest common divisor of a and v. 10 Let o(y) = 2*y - 1. Let s be o(1). Let l be (4 - 2/s)/1. Suppose -36 = -0*x - 4*x + 4*p, -5*p = x - 27. Calculate the highest common factor of x and l. 2 Let v = 12 + -6. Suppose v + 14 = 4*l. Let c be (-15)/6*(1 - 3). What is the highest common divisor of c and l? 5 Let w(x) = -8*x - 4. Let q be w(-1). What is the highest common factor of q and 36? 4 Let g be 1/((-3)/(-117)) + -3. What is the greatest common factor of g and 324? 36 Suppose 0 = -5*s - 1 + 61. Let r(j) = -j**3 - 4*j**2 + 6*j. Let d be r(-6). What is the highest common divisor of d and s? 12 Let g be (-31)/(-3) - 4/(-6). Suppose g = 2*p - 2*o - 31, 4*o = -p - 4. What is the greatest common divisor of p and 4? 4 Let f(c) = c - 6. Let b be f(9). Let p(s) = -s + 6. Let t be p(b). What is the highest common factor of t and 6? 3 Let o = 202 + -139. Calculate the greatest common factor of 42 and o. 21 Let d(t) = -t**2 + 8*t + 11. Let z be d(8). Let j = 119 + -75. Calculate the highest common divisor of z and j. 11 Let o(a) = a**2 + a - 71. Let q be o(0). Let c = q + 99. What is the greatest common factor of c and 7? 7 Let z be (-20 - -21)/((-2)/(-44)). What is the greatest common divisor of 33 and z? 11 Let p be (-2)/2 - -16*1. Suppose -2*a = -3*n - 14, -p - 2 = -a - n. What is the greatest common divisor of a and 39? 13 Suppose -3*z = 2*z - 50. Let k(d) = -19*d - 66. Let y be k(-4). What is the greatest common divisor of y and z? 10 Let k = 6 - -5. Calculate the greatest common factor of 55 and k. 11 Suppose -3*h - 4*p + 0*p = -85, -h + 39 = 4*p. Let v = -12 + h. Calculate the highest common factor of v and 22. 11 Suppose -3 = -6*r + 63. What is the highest common divisor of r and 22? 11 Suppose -5*c + 452 = 3*b, c + 0*b - 96 = -2*b. Calculate the highest common factor of 8 and c. 8 Let p be (-1326)/(-42) - (-8)/(-14). What is the highest common factor of 217 and p? 31 Suppose 13*h + 432 = 1758. Calculate the greatest common divisor of h and 34. 34 Let g(t) = 2 + 17*t - 54*t - 1. Let s be g(-3). Let w = 10 + 4. What is the highest common factor of s and w? 14 Suppose 3*q - 182 = 58. Suppose 22 = o + 6. What is the greatest common factor of q and o? 16 Let z(p) = p**2 - 15*p + 21. Let g be z(14). What is the greatest common divisor of 21 and g? 7 Let f(o) be the first derivative of 5*o**2/2 - o - 2. Let v be f(1). Suppose 0 = -z + 6*z - 40. Calculate the highest common divisor of z and v. 4 Let k = 25 + 12. Suppose -4*n = -3*m - 15 - 16, -3*n + 5*m = -k. What is the highest
{ "pile_set_name": "DM Mathematics" }
4 What is the remainder when 1096 is divided by 30? 16 What is the remainder when 546 is divided by 55? 51 Calculate the remainder when 210 is divided by 61. 27 What is the remainder when 2552 is divided by 190? 82 What is the remainder when 2324 is divided by 289? 12 Calculate the remainder when 226 is divided by 12. 10 Calculate the remainder when 3967 is divided by 5. 2 What is the remainder when 5 is divided by 4? 1 What is the remainder when 405 is divided by 12? 9 Calculate the remainder when 2012 is divided by 169. 153 Calculate the remainder when 2454 is divided by 8. 6 Calculate the remainder when 110 is divided by 63. 47 What is the remainder when 158 is divided by 7? 4 What is the remainder when 2228 is divided by 15? 8 What is the remainder when 505 is divided by 16? 9 Calculate the remainder when 399 is divided by 6. 3 What is the remainder when 2063 is divided by 12? 11 Calculate the remainder when 488 is divided by 45. 38 Calculate the remainder when 96 is divided by 52. 44 Calculate the remainder when 884 is divided by 288. 20 Calculate the remainder when 24528 is divided by 37. 34 Calculate the remainder when 372 is divided by 52. 8 What is the remainder when 278 is divided by 57? 50 What is the remainder when 5317 is divided by 14? 11 What is the remainder when 236 is divided by 34? 32 What is the remainder when 2982 is divided by 745? 2 Calculate the remainder when 388 is divided by 15. 13 Calculate the remainder when 14248 is divided by 6. 4 Calculate the remainder when 576 is divided by 58. 54 What is the remainder when 3890 is divided by 33? 29 Calculate the remainder when 5722 is divided by 159. 157 What is the remainder when 6106 is divided by 12? 10 Calculate the remainder when 446 is divided by 75. 71 Calculate the remainder when 475 is divided by 236. 3 Calculate the remainder when 95 is divided by 17. 10 Calculate the remainder when 1840 is divided by 307. 305 What is the remainder when 149 is divided by 6? 5 Calculate the remainder when 274 is divided by 66. 10 Calculate the remainder when 287 is divided by 97. 93 What is the remainder when 13317 is divided by 15? 12 Calculate the remainder when 352 is divided by 5. 2 Calculate the remainder when 408 is divided by 99. 12 What is the remainder when 55 is divided by 37? 18 Calculate the remainder when 670 is divided by 57. 43 What is the remainder when 71 is divided by 16? 7 What is the remainder when 75 is divided by 36? 3 What is the remainder when 135 is divided by 59? 17 What is the remainder when 349 is divided by 89? 82 What is the remainder when 93 is divided by 18? 3 What is the remainder when 178 is divided by 26? 22 What is the remainder when 6273 is divided by 251? 249 What is the remainder when 94 is divided by 14? 10 Calculate the remainder when 198 is divided by 50. 48 Calculate the remainder when 6158 is divided by 80. 78 Calculate the remainder when 2727 is divided by 35. 32 Calculate the remainder when 162 is divided by 37. 14 Calculate the remainder when 5030 is divided by 23. 16 What is the remainder when 1214 is divided by 136? 126 What is the remainder when 14 is divided by 5? 4 Calculate the remainder when 656 is divided by 30. 26 What is the remainder when 4415 is divided by 39? 8 What is the remainder when 3069 is divided by 280? 269 What is the remainder when 74 is divided by 47? 27 Calculate the remainder when 160 is divided by 21. 13 What is the remainder when 94527 is divided by 211? 210 What is the remainder when 570 is divided by 187? 9 Calculate the remainder when 1199 is divided by 119. 9 Calculate the remainder when 242 is divided by 73. 23 What is the remainder when 859 is divided by 10? 9 What is the remainder when 827 is divided by 273? 8 Calculate the remainder when 155 is divided by 50. 5 Calculate the remainder when 1779 is divided by 85. 79 Calculate the remainder when 358 is divided by 53. 40 Calculate the remainder when 103 is divided by 15. 13 What is the remainder when 1139 is divided by 60? 59 Calculate the remainder when 1224 is divided by 319. 267 What is the remainder when 8768 is divided by 179? 176 What is the remainder when 57 is divided by 9? 3 What is the remainder when 762 is divided by 276? 210 What is the remainder when 759 is divided by 365? 29 Calculate the remainder when 100 is divided by 53. 47 What is the remainder when 163 is divided by 13? 7 What is the remainder when 72 is divided by 35? 2 What is the remainder when 226 is divided by 11? 6 Calculate the remainder when 141 is divided by 45. 6 What is the remainder when 365 is divided by 127? 111 What is the remainder when 138 is divided by 28? 26 What is the remainder when 299 is divided by 40? 19 Calculate the remainder when 7550 is divided by 59. 57 Calculate the remainder when 1226 is divided by 605. 16 What is the remainder when 3859 is divided by 143? 141 Calculate the remainder when 51 is divided by 2. 1 Calculate the remainder when 263 is divided by 86. 5 What is the remainder when 16836 is divided by 10? 6 Calculate the remainder when 489 is divided by 41. 38 Calculate the remainder when 4371 is divided by 41. 25 What is the remainder when 106 is divided by 10? 6 Calculate the remainder when 8 is divided by 3. 2 What is the remainder when 1344 is divided by 96? 0 Calculate the remainder when 771 is divided by 6. 3 Calculate the remainder when 242 is divided by 7. 4 What is the remainder when 955 is divided by 48? 43 What is the remainder when 708 is divided by 145? 128 Calculate the remainder when 442 is divided by 12. 10 What is the remainder when 66 is divided by 1? 0 What is the remainder when 679 is divided by 76? 71 Calculate the remainder when 473 is divided by 16. 9 Calculate the remainder when 3194 is divided by 80. 74 Calculate the remainder when 289 is divided by 140. 9 Calculate the remainder when 66 is divided by 51. 15 Calculate the remainder when 287 is divided by 41. 0 What is the remainder when 586 is divided by 42? 40 What is the remainder when 15 is divided by 11? 4 What is the remainder when 145 is divided by 3? 1 What is the remainder when 111 is divided by 25? 11 What is the remainder when 1288 is divided by 6? 4 What is the remainder when 611 is divided by 146? 27 Calculate the remainder when 306 is divided by 57. 21 What is the remainder when 152 is divided by 137? 15 What is the remainder when 440 is divided by 29? 5 Calculate the remainder when 609 is divided by 12. 9 Calculate the remainder when 918 is divided by 126. 36 Calculate the remainder when 100 is divided by 61. 39 Calculate the remainder when 1765 is divided by 13. 10 Calculate the remainder when 566 is divided by 21. 20 What is the remainder when 139 is divided by 24? 19 Calculate the remainder when 131 is divided by 77. 54 What is the remainder when 167 is divided by 95? 72 Calculate the remainder when 203 is divided by 70. 63 Calculate the remainder when 4206 is divided by 31. 21 What is the remainder when 2807 is divided by 701? 3 Calculate the remainder when 250 is divided by 83. 1 What is the remainder when 30 is divided by 7? 2 Calculate the remainder when 328 is divided by 33. 31 Calculate the remainder when 649 is divided by 21. 19 Calculate the remainder when 229 is divided by 34. 25 What is the remainder when 1053 is divided by 44? 41 Calculate the remainder when 340 is divided by 43. 39 Calculate the remainder when 644 is divided by 28. 0 Calculate the remainder when 236 is divided by 14. 12 What is the remainder when 2638 is divided by 48? 46 What is the remainder when 3113 is divided by 163? 16 Calculate the remainder when 241 is divided by 117. 7 What is the remainder when 14 is divided by 11? 3 Calculate the remainder when 256 is divided by 78. 22 Calculate the remainder when 190 is divided by 60. 10 Calculate the remainder when 198 is divided by 43. 26 Calculate the remainder when 149 is divided by 62. 25 Calculate the remainder when 4427 is divided by 7. 3 What is the remainder when 433 is divided by 5? 3 Calculate the remainder when 961 is divided by 40. 1 What is the remainder when 2949 is divided by 109? 6 Calculate the remainder when 493 is divided by 19. 18 Calculate the remainder when 53 is divided by 19. 15 What is the remainder whe
{ "pile_set_name": "DM Mathematics" }
d(h) = -h**2 + 7*h. Let t be d(7). Let z = t + 2. Solve 3*v = -4*l - 1, z*v + 3*l + 2 = l for v. -3 Let x = 17 + -12. Solve x*u = -2*q + 13, -u + q + 7 = -3*q for u. 3 Let j = 8 + -8. Suppose h - 28 = 2*h + 4*k, j = -2*h - 3*k - 31. Let y = -2 - h. Solve -3*m = -4*v - y - 4, 0 = -2*m - 4 for v. -4 Let o(c) = -2*c + 6. Let r be o(7). Let d be 2/5 + r/(-5). Suppose 6 = -0*p + 2*p. Solve p*k + 3*u + 2 = -1, 2*k + d = 4*u for k. -1 Suppose -6*s = -2*s - 16. Solve -n - 2*p - 4 = -1, -s*n + p = 21 for n. -5 Suppose 5*y + 0*y - 10 = 0. Let s(m) = 2 - 2*m**3 - 3*m**y - 4 + 3. Let q be s(-2). Solve 5 + 0 = -5*l, -10 = -5*g + q*l for g. 1 Let l(i) = -3*i**2 - 10*i + 7. Let u(g) = -g**2 - 3*g + 2. Let x(y) = 2*l(y) - 7*u(y). Let t be x(-2). Solve 28 = 5*p - 4*h, 3*p + t*h + 3*h = 2 for p. 4 Let p(n) = n**3 - 7*n**2 - 8*n + 4. Let w be p(8). Solve 2*h - 6*f - 4 = -4*f, 0 = -w*h + 5*f + 10 for h. 0 Let t(b) = b**3 - 5*b**2 + 7*b - 6. Let h be t(4). Let f = 9 - h. Solve -f*g + 5*o + 15 = -2*g, -5*g = -2*o - 6 for g. 0 Let s(y) = y**3 + 4*y**2 + 4*y + 4. Let u be s(-3). Solve z = -2*a + 6*z - u, a = -z - 4 for a. -3 Let a be (-4)/(-6)*36/(-6). Let y = 6 + a. Solve -y*d + 22 + 6 = 5*c, 3*d + 5*c - 32 = 0 for d. 4 Suppose 3*v - 1 = -4. Let r be 93/15 + v/5. Solve -3*i + r*o - o - 3 = 0, 0 = -2*i - 4*o + 20 for i. 4 Suppose -2*o + 2 = -2. Suppose -o*u = -5*u. Suppose 0 = 5*f - 5*k - 5, 8 = 2*k - u. Solve 0 = 4*p + 4*z + 8, -z + 3 = -f*p + 5 for p. 0 Let y = 4 - 6. Let p be 0*2/y + 6. Let g be (p/4)/((-3)/(-8)). Solve i = 3*o + 6, -6*o = g*i - o + 27 for i. -3 Suppose 4*q - 3*q + y - 20 = 0, -2*q - 5*y = -55. Solve -o = 5*v - 6*o - q, 5*o = 2*v - 15 for v. 0 Suppose 0 = l + 4*v + 10, 5*v = -2*l - 11. Let j(c) = -c**3 - 10*c**2 - 9*c + 5. Let m be j(-9). Solve p = m*i - 10*i + 19, 0 = l*p + i - 11 for p. 4 Suppose 3*x - 12 = -x. Suppose i + x*i - 16 = 0. Solve -4*s = -4*z - 4 - 4, -i*z = -3*s + 10 for s. -2 Let q = 6 - 3. Solve 0 = -2*b - 0*b - 3*c + 19, q*c - 21 = -3*b for b. 2 Suppose -12 = -5*h + 3. Suppose 0 = 5*k - s - 8, h*k + s - 12 = -2*s. Solve -k*w + 3*w = -b - 7, 2*b = w - 2 for w. -4 Let a(i) = i**2 - 9*i + 5. Let r be a(9). Solve -3*o = -q + 11 - 4, 0 = r*q + 2*o - 1 for q. 1 Let f(o) = o**2 - o - 1. Let y be f(-2). Solve 2*k + w + 0*w + 1 = 0, -k + y*w = 17 for k. -2 Suppose -3*a - 15 - 4 = -5*y, 4*a + y - 13 = 0. Solve -5*q - 4 = -g + 4*g, 0 = -2*g - a*q for g. 2 Let g(j) = j**3 + 6*j**2 - 3*j - 6. Let z be g(-6). Solve 0 = -h + 3*h + 2*u + 8, -4*u - z = 3*h for h. -4 Let m be 7 - (-1 - 3*-1). Let t = 23 + -21. Solve -2*y - 6 = t*u + 2*u, 2*u = -m*y + 1 for u. -2 Suppose -l = 5*d + l - 30, -4*d + 2*l = -6. Suppose -d*i + 88 = a + 3*a, 0 = 5*a + 3*i - 100. Solve -4*j - x - 16 = 7, x = 4*j + a for j. -5 Let r be (-2)/6*0 - -2. Suppose 3*k = 2*j - 8, j - r*j + 4 = 2*k. Solve -12 = 4*c + j*p, 4*p + 8 + 12 = 0 for c. 2 Suppose -5*b + 5*k + 45 = 0, 2*b - 10 = 4*b + 5*k. Let q be (-2)/(-4) - 2/4. Let h = q - -1. Solve 1 = -b*c + 3*r, -c - h = -2*r - 5 for c. -2 Let b = -25 + 30. Solve -4*r - d + 16 = -b*d, -4*r + 3*d + 11 = 0 for r. -1 Suppose -7 = -x - 2. Solve x*h - 2*c + 35 = 0, 2*h = -0*h - 5*c + 15 for h. -5 Let h = -1 - -3. Let s be (-1 - -7)/(h + -1). Suppose -5*k = -k. Solve -2*p + u + 6 = -u, 5*p + 2*u + s = k for p. 0 Let d(s) = s**2 - 11*s - 12. Let p be d(12). Solve p = 4*y - 4*r, -y + 2*y - 4 = 2*r for y. -4 Let k = 44 + -39. Solve 0*i = 2*i - 4*p + 12, i - 15 = -k*p for i. 0 Suppose -5*d + 2*d = -39. Let x = 18 - d. Solve x*s = y - 2*y - 22, 0 = 3*s + 15 for y. 3 Let c = -3 - -10. Let y = c - 5. Suppose -t + 5*s - 8 = 0, y*t + 1 = 3*s - 1. Solve -5*m + a + 19 = -2*a, -t*a - 1 = -m for m. 5 Let h(f) = f**2 + 1 - 2 + f + 5. Let y be h(0). Let g = -26 + 26. Solve 7 = v - 3*v - 5*l, g = -5*v + l - y for v. -1 Let w be 3 + ((-2)/(-1) - 1). Suppose -4*t = 3*g - 7 - 5, 3*t = -2*g + 9. Suppose g = -f - 0*f + 9. Solve 5*m + 0*m + 5 = 0, -w*j + 5*m + f = 0 for j. 1 Suppose 4 - 10 = -2*g. Suppose -2*q + g*v + 8 = 2*v, -2*q - 4 = 5*v. Solve 4*x + 13 = m - 2*m, -q*m - 5 = -5*x for m. -5 Let z be (-4)/(-10) - 26/(-10). Suppose z*k + 0*k = 12. Let s(t) = t - 2. Let w be s(k). Solve 0 = -w*u - o + 3, -3*u - 2 = -0*u - 5*o for u. 1 Let v be (-1 + (-3)/(-6))*0. Let g = 1 + v. Let a(s) = 4*s - 1. Let q be a(g). Solve -22 = 4*i + 3*o, -5*i - 22 = -q*o + 4*o for i. -4 Let x(w) = w**3 + w**2 - 22. Let j be x(0). Let p be (-4)/j - (-53)/11. Suppose p*t - 8 = 3*t. Solve f - 4*y + t = 0, 5*f = 4*y - 25 + 5 for f. -4 Let u = 11 + -7. Suppose 9 = -2*n + 3*p, -4*p = -u*n + p - 15. Let i be 1*((-15)/(-3) + n). Solve i*v = 3*j - 16, -v - 5*j + 14 = -3*v for v. -2 Let h(s) = s + 15. Let j be h(-12). Suppose j*q + 0*q = 0. Solve -4*m - 5*d = -q*d + 5, 2*d - 10 = -4*m for m. 5 Suppose 8 = -3*r - r. Let k be 0*(1 - r)/6. Solve -2*x - 5*l + 24 = 5, k = -4*x + l - 17 for x. -3 Let i = -3 + 8. Let z(r) = r - 4. Let d be z(16). Suppose i*f = f + d. Solve -4*w + u + f*u = 0, 2*w - 5*u = 6 for w. -2 Suppose 5*v - 20 = 5. Solve 0 = -3*c - o + 8, -5*o = v*c for c. 4 Let u = -13 - -18. Let j be 7/4 + u/20. Solve z = -2*l - j, -3*l = z + l + 8 for z. 4 Let r = 2 + 1. Solve 5*p = -5*b - 35, r = -2*p + 3*b + 4 for p. -4 Let p = 14 + -9. Solve 0 = 5*j - 15, -j = p*r + j - 11 for r. 1 Suppose 4*w - 3*j = -2*j, 2*j = 3*w. Solve w = 3*p - 5*p + 3*m - 15, -p - 15 = -4*m for p. -3 Let c(b) = -b**3 - 6*b**2 - 3*b + 15. Let w be c(-5). Solve y + 2*y + 10 = 2*m, 3*y - 4 = -w*m for m. 2 Suppose 0 = -10*i + 34 - 4. Solve -n = 3*f + 4, -n = -f - i - 5 for f. -3 Let l = 4 - -2. Let g be l*3*(-9)/(-6). Solve g = -y - 5*x - 3, 4*y + 10 = 2*x for y. -5 Let j(f) be the second derivative of f**5/20 - f**4/2 - 5*f**3/6 - 9*f**2/2 + 8*f. Let u be j(7). Solve 0 = s + 3*v + 11, -v - u = s - 0*v for s. -2 Let y = -3 + 22. Let b(n) = n**3 + 8*n**2 + n + 8. Let r be b(-8). Let w(x) = x + 2. Let h be w(r). Solve 0 = 3*t - h*q + y, 6*t - 2*t + 5*q - 13 = 0 for t. -3 Let n(a) = 14*a**2 - 2*a - 1. Let l = 1 - 0. Suppose 3*m = -5*g - 13, -4 = -m + 2*g - l. Let x be n(m). Solve -v = 3*z + x, 2*z + 1 = 5*v - 2*z for v. -3 Let t(q) = q**2 - 6*q - 2. Let v be 2*(-21)/18*-3. Let h be t(v). Solve -n - 3*a - 7 = -h*n, 2 = 2*n - 2*a for n. 4 Suppose 0 = -9*z + 16 + 29. Solve 0 = z*o + 15, -5 = 4*f - 2*o - 19 for f. 2 Let j = -22 + 33. Suppose -2*v - 3 + 19 = 4*c, 4*v = -c + j. Suppose 0 = -2*m - 0*m. Solve n - 3 = -3*x, -x - 9 = -c*n - m*n for n. 3 Suppose -d + 8 = 3*d. Solve 4*r + 5*k + 4 = r, -2*r + 8 = -d*k for r. 2 Suppose -2*a = 17 + 55. Let t = -18 - a. Suppose 4*r = t + 2. Solve -r*j - 3*o = 1, -j = -4*j + 3*o - 15 for j. -2 Let v = -4 - -4. Suppose 40 = -v*z + z. Suppose -4*f + z = 7*q - 2*q, 0 = 3*q + 3*f - 27. Solve 5 = 4*y + q*a - 23, 4*a - 31 = -5*y for y. 3 Suppose 4*h = 3*h. Suppose x + 4*x = h. Let c be (2 + -3)*-1*3. Solve 5 = c*d - 2*s, x = -s - 4 for d. -1 Suppose 22 = 5*v + 2. Suppose v*i - 2 - 9 = -a, -a - 5 = 0. Suppose -3*j - 5*p + 5 = j, 5*p = -3*j. Solve 2*t + 6 + 4 = 4*c, -i*t = j*c - 19 for c. 3 Let h = 61 - 49. Solve h = -3*y - s, s + 4*s + 30 = -5*y for y. -3 Suppose 5*t + 2 = -5*y - 3, 4 = -y - 2*t. Solve -5*s + 3*l + 12 = 0, 2*s + l = -y*l - 12 for s. 0 Suppose -7 = -2*n - 5, -b - 2*n + 13 = 0. Solve -d - 1 = -4*g - b, -2 = -5*d - 4*g for d. 2 Suppose -5*u = p - 32 - 31, -15 = -2*u + 3*p. Let o be ((-16)/u)/(2/(-6)). Solve -3*h = l - 4, o*h + 4*l - 7 = h for h. 1 Let s be 96/56 + (-4)/(-14). Suppose -h - 2*h = -81. Let v be h/(-6)*(1 - 3). Solve -3*f = v, -s*f - 20 = x + 3*f for x. -5 Suppose -10 = u - 4. Let t be (u - -9)/(3 + -2). Solve 5*w + k = 5*k, 3*w - t*k - 3 = 0 for w. -4 Let w be 4 - ((-81)/(-3))/1. Let r = w + 23. Solve 4*v + j + r*j = -10, -4*j = -5*v - 2 for v. -2 Let i(x) = x + 8. Let b be i(-5). Solve 2*f + 2*f + 7 = -u, -2*u + 8 = -b*f for u. 1 Suppose 0*v + v - 4*h = 0, -3*v = -h - 11. Solve v*b - 20 = 5*x, 4*b = -x + b + 15 for x. 0 Suppose -4*s + 3*a = 6, 0 = 5*s - 0*a + 5*a - 10. Suppose s*d + d - 2 = 0. Solve 14 = d*c + 4*b, 4*b + 3 = 3*c + 2 for c. 3 Suppose 0*f + 27 = 3*f. Let i(l) = -l**3 - f*l + 23 + 9*l. Let t be i(0). Solve 0 = -2*a + 4*u + 14, -4*a = -2*u - u - t for a. 5 Suppose -19 = -4*i + 1. Suppose -6*s + 19 = -i. Solve -s*v + 24 = 2*t, -v - 1 = -6 for t.
{ "pile_set_name": "DM Mathematics" }
)/(-21))/(o/33) a prime number? False Let w(a) = 6*a**3 + 6*a**2 + 48*a - 403. Is w(10) composite? True Suppose 2*p = t + 2*t - 14, 4*p = t - 18. Suppose 0 = 5*s + 3*q - 3739, t*q = -9 + 5. Let b = s - 82. Is b a prime number? False Let q be (0 + 1 + 1266)/1. Suppose 381 = a + c + 129, 2*c = 5*a - q. Is a a prime number? False Let b(r) be the third derivative of -30*r**4 + r**3/2 + 31*r**2. Let c be b(2). Let m = 3060 + c. Is m a composite number? True Let c(w) = 14*w**2 - 18*w + 86. Let f(o) = o**2 - 5*o + 17. Let b be f(7). Is c(b) prime? False Let m(k) = -62*k + 32*k + 11 + 0*k**3 + 31*k + 10*k**2 - 3*k**3. Is m(-8) a prime number? True Let g(n) = 152845*n**2 - 158*n + 15. Is g(-2) a composite number? True Suppose -2*t + 0*v = -3*v - 5, 0 = -v + 3. Suppose t*w = 3161 + 290. Is w composite? True Let k = 96 + -93. Suppose -4*s + 4475 = 5*n, k*n + 3*s = n + 1783. Is n prime? False Suppose 0 = 5*f + 2*u - 33027, 19805 = 3*f + 2*u + 2*u. Is f composite? False Suppose 27*i - 19*i = 40. Suppose -4*v = k - 6433, i*k - 4*v = -6*v + 32237. Is k a composite number? False Suppose 0 = -2*x - 3*x + 2*n + 10715, -7*x + 14995 = -4*n. Let v = x + 2924. Is v a composite number? True Let i = -37 - -41. Suppose -i*v + 2 = -2, 1054 = 5*z - v. Is z composite? False Let x(z) = z**3 - 5*z**2 + z. Let m be x(6). Suppose -s + 47 = 5*g - m, 4*g - 436 = -4*s. Is 44593/s + (-2)/12 a prime number? False Let n(k) = -k**3 + 12*k**2 + 2*k - 10. Let x be n(12). Let p be (x/(-7))/((-2)/885). Suppose -20*g + 15*g + p = 0. Is g a composite number? True Let x be -6*-4*(-5)/40 + 8. Suppose 2*m = -5*m + 5*m. Suppose -3*w + 2 = 5, 4*d - x*w - 6633 = m. Is d prime? True Let r be (-7012)/5*(19/(-2) - -7). Let b = 6400 - r. Is b composite? True Suppose -18 = 21*c - 22*c. Suppose 20820 = -6*o + c*o. Is o a prime number? False Let u be ((-9)/6)/((-15)/110). Suppose -12*m + u*m + 5261 = 0. Is m composite? False Suppose o = 2*n + 13 + 3, 4*o - 3*n = 64. Let k(v) be the third derivative of v**5/15 - v**4/8 - 65*v**3/6 + 11*v**2. Is k(o) composite? False Let r(x) = 838*x + 3 + 9 + 19 + 0. Is r(7) a prime number? True Let d(w) = 130470*w - 11. Is d(1) composite? True Suppose 0 = -4*k - 4*c + 5676, 3*k - 1780 = 2*c + 2452. Suppose -1027 + 140 = -a. Let i = k - a. Is i prime? False Let c(s) = 1. Let j(h) = 160*h + 8. Let f(y) = 12*c(y) - 2*j(y). Let r be f(-4). Let x = r - 387. Is x prime? False Suppose -17*g = -4478 - 1676. Let n = 393 - g. Is n composite? False Suppose 4*q - 2*q - 16 = -3*c, c = -5*q + 40. Let d be q*((-21)/(-12) - 0). Is d/(-3)*((-2043)/6)/1 a composite number? True Is ((-497795)/(-4))/((-30)/(-24)) a prime number? True Let b be ((-4)/(-6))/(12/288). Let t = b + -15. Is 1 + 24 + (1 + t - 2) prime? False Let v be (-4 - (-138)/36)*0. Let t = -418 + 1307. Suppose -7*y + v*y = -t. Is y composite? False Suppose -o - 7071 = -4*n, 1393*n - 1398*n + 8840 = -o. Is n prime? False Let b(z) = -1187*z - 31. Suppose 11*h + 31 = -35. Is b(h) prime? False Let a = -631 - -628. Is (-740840)/(-56) - 2*a/(-21) composite? False Let u be ((-20)/15)/4*-9. Suppose v - 575 = -u*a, 6*v - v = -3*a + 559. Suppose -66 = h - a. Is h composite? False Let z = -269969 - -496478. Is z a composite number? True Suppose 4*z = n - 71057, 4*z + 145872 = 5*n - 209461. Is n a prime number? True Let z = 51651 - 16912. Is z a composite number? False Is (282120/50 - -13)*5 composite? False Let d = -65675 + 100470. Is d a prime number? False Is 5980 + (-32)/464 + 615/87 a prime number? True Let r be -2 - (9389/3 + 4/(-6)). Let f = -2224 - r. Is f a composite number? False Is 30975/210*(-3282)/(-15) a composite number? True Suppose 6*a + 5*a = -143. Is a/65 + 12176/5 a prime number? False Let b be (-14242)/10 + (-34)/(-170). Let v = b + 2293. Is v a composite number? True Suppose 9*a = -55 + 10. Let z be -2 - 4*a/10. Suppose 310 = 4*l + 2*i, z*i - 156 = -2*l - 2*i. Is l prime? False Suppose 5*w = d - 13, -2*w + 3*w + 2 = 0. Let k(f) = 194*f + 141*f + 231*f - d - 2. Is k(3) a composite number? False Let c(h) = h**3 - 12*h**2 + 11*h - 35. Let l be c(15). Let s = l - 482. Is s prime? False Let n(g) be the third derivative of -g**6/120 - g**4/4 + 5*g**3 + 2*g**2 + 10. Is n(-5) a prime number? False Let m(k) = -k**3 + 75*k**2 - 132*k - 29. Is m(35) composite? False Suppose 2*s - 3*z = -2*s + 238136, z = 5*s - 297681. Is s a prime number? False Let r(j) = -4*j + 17. Let v be r(-13). Let p = 70 - v. Is 2373/p*(-2)/(-6) composite? True Let h = 7 + -9. Let p be (-2*3/(-2))/((-3)/h). Suppose -2*f + 2322 = 4*d, -2*f - p*f = -3*d - 4622. Is f a prime number? False Suppose 21100 = 26*d - 21*d. Let f = d - -9543. Is f prime? True Let g(c) = 156*c**2 - 2*c + 46577. Is g(0) a composite number? True Let s(o) = 5*o**3 + 13*o**2 - 7*o + 9. Let w(x) = x**3 + x**2 + 1. Let u(l) = -s(l) + 6*w(l). Let k be u(6). Is 421/3 + 3 - 1/k composite? True Let a be -1*(-2)/4*-2. Let h be 19/(-7) + (-480)/(-280). Is a/2*6 + h + 2837 prime? True Let q = 32 - 23. Suppose -j + 3*h = -q, -37 = -4*j + j - h. Suppose 3*v - j*v = -7893. Is v a composite number? False Suppose -48*l - 827590 = -2636201 - 9059885. Is l a composite number? False Suppose -5*i + 193099 = -8*d + 10*d, 2*i + 4*d - 77230 = 0. Is i prime? False Let d = 67190 + 39137. Is d composite? True Is (2/(-4))/(-16 + (-50877783)/(-3179862)) a prime number? False Let q be 154 + (-2)/6*192/16. Suppose 153*w - q*w - 1689 = 0. Is w composite? False Suppose -5*z - 2 = -6*z. Let b be 805/91 + z/13. Suppose 0 = -3*w + b*w - 402. Is w a prime number? True Let n = 155843 - 103594. Is n a prime number? True Is (6/(-4) - 0)*(-3824576)/672 a prime number? True Let c = 53 - 19. Let h be ((-3152)/20)/(c/(-10) + 3). Let n = 749 - h. Is n composite? True Suppose -7 = -12*v + 29. Let w(h) = -70*h + 9. Let q(r) = -1. Let u(f) = -4*q(f) - w(f). Is u(v) a composite number? True Let r(g) = -8*g**3 + g**2 - 3*g - 34. Let s be r(-6). Suppose -f = -6105 - s. Is f composite? False Let i(z) = -8098*z - 1827. Is i(-26) prime? True Let q(k) = -4*k + 26. Let l be q(6). Suppose -y - 5 = 0, l*y + 2*y = 5*j. Is (-331)/((-1 - j) + -4) a composite number? False Suppose -6*m + 4*m = 5*n - 8, 5*m + 4*n = 20. Let t = 158354 + -42121. Is t/143 - m/(-22) a prime number? False Is -13 - (-107834 + -9) - 3 a composite number? False Let h be 9*3/(-9) + 0. Let p(k) be the first derivative of 70*k**3/3 + k - 3. Is p(h) prime? True Suppose -4*p - 20 = -0*p, 3*m = -3*p. Suppose -416 = -3*c + c + m*v, c - v - 205 = 0. Is c composite? True Suppose 56*k - 27*k - 349538 = 27*k. Is k prime? False Let h be 2/(-4) - (-902)/44. Let k(i) = 92 + h*i - 31 - 75*i. Is k(-6) a composite number? True Is 417071/4 + -21 + (-891)/(-44) a prime number? False Let c(u) = u**3 + 3*u**2 - 12*u - 18. Let w be c(-7). Let t = w + 829. Is t a prime number? False Let n(l) = -205*l**3 - 3*l**2 - 3*l - 3. Let a be n(-3). Suppose -8*t + a = -2*t. Is t a prime number? True Let k(p) = -p**3 - 18*p**2 - 16*p + 35. Let l be k(-17). Let z be l/(-8) - ((-30)/24 - -2). Let w(y) = -628*y - 1. Is w(z) a composite number? True Let u(l) = -40460*l**3 + l**2 + 6*l + 4. Is u(-1) a composite number? False Let a(v) = -5*v**3 - 3*v**2 - 5*v + 37. Let f(y) = -y**3 + y**2 - y - 1. Let d(z) = -a(z) + 3*f(z). Let s be d(-12). Let t = 6081 - s. Is t composite? False Let l = -56 - -56. Suppose -1 = 2*k + 5*g - l, 5*g - 5 = -5*k. Suppose f - 10 = 3*x - 8*x, -k*f = 5*x - 45. Is f a composite number? True Let h = 482491 - 249320. Is h composite? True Let h(d) = 5*d + 29. Let q be h(-6). Let g be (0 - (3 - 4))*q. Is -590*(1 - ((-15)/(-6) + g)) prime? False Suppose -758*z + 748*z = -5668730. Is z prime? False Let c(k) = k**3 - k**2 - 12*k + 15. Let b be c(17). Suppose -b + 1522 = -x. Is x prime? False Is 1515294/18*7 + -8 a prime number? True Let w(o) be the first derivative of 13/3*o**3 - 15/2*o**2 - 1/4*o**4 - 13 - 4*o. Is w(7) prime? False Let j(x) = 8*x**3 - 7*x**2 + 8*x - 7. Let k be j(6). Let y = 8766 - k. Is y prime? False Let c = 6321 + 21. Suppose -9*n + 3 = -8*n. Suppose -c = -3*w - n*w. Is w a prime number? False Is (432/(-16))/(-3) - -63314 a composite number? True Suppose -2*l - 41 + 31 = 2*j, 5*j - 20 = 0. Let h(g) be the first derivative of 74*g**3/3 + 5*g**2 + 7*g + 3. Is h(l)
{ "pile_set_name": "DM Mathematics" }
What is prob of sequence rm? 6/91 Calculate prob of sequence mq when two letters picked without replacement from mqmf. 1/6 Calculate prob of sequence xyzy when four letters picked without replacement from {x: 1, s: 1, f: 3, y: 2, z: 1, g: 3}. 1/3960 Four letters picked without replacement from {t: 1, k: 2, y: 7}. Give prob of sequence kykt. 1/360 Calculate prob of sequence vz when two letters picked without replacement from eqqevvqqzqzzqeeeq. 3/136 What is prob of sequence mmmm when four letters picked without replacement from mmmmmmm? 1 Three letters picked without replacement from {r: 7, v: 4}. What is prob of sequence rvr? 28/165 What is prob of sequence lll when three letters picked without replacement from {v: 1, z: 2, a: 6, l: 4}? 2/143 Calculate prob of sequence pzp when three letters picked without replacement from {p: 3, x: 4, z: 2, i: 2, o: 1}. 1/110 Calculate prob of sequence ws when two letters picked without replacement from {i: 1, r: 2, w: 1, j: 1, d: 1, s: 2}. 1/28 Three letters picked without replacement from wyf. Give prob of sequence wfy. 1/6 Two letters picked without replacement from {y: 3, m: 2, o: 4, z: 1, v: 1}. Give prob of sequence mm. 1/55 Two letters picked without replacement from {u: 4, j: 2}. What is prob of sequence uu? 2/5 Two letters picked without replacement from {c: 3, p: 3, n: 7}. Give prob of sequence nn. 7/26 What is prob of sequence gzkz when four letters picked without replacement from {z: 3, l: 2, g: 1, k: 1}? 1/140 Three letters picked without replacement from {q: 11, u: 1}. Give prob of sequence qqq. 3/4 Two letters picked without replacement from hhftfd. Give prob of sequence tf. 1/15 Two letters picked without replacement from {u: 1, l: 4, w: 3}. Give prob of sequence ww. 3/28 What is prob of sequence tf when two letters picked without replacement from cfjjfrjjtcrfmf? 2/91 Three letters picked without replacement from {x: 1, b: 17}. What is prob of sequence xbb? 1/18 Three letters picked without replacement from {b: 2, u: 2, r: 1, d: 7, e: 2, o: 2}. Give prob of sequence dre. 1/240 What is prob of sequence ge when two letters picked without replacement from {j: 2, i: 1, g: 1, m: 1, e: 1, s: 2}? 1/56 Calculate prob of sequence vv when two letters picked without replacement from {d: 6, v: 4}. 2/15 Four letters picked without replacement from xwxwbwbx. What is prob of sequence xwbw? 3/140 Two letters picked without replacement from {a: 1, n: 1, b: 1, u: 1, g: 2, f: 1}. What is prob of sequence ug? 1/21 Three letters picked without replacement from {g: 1, v: 2, o: 1, z: 2}. Give prob of sequence vvo. 1/60 Calculate prob of sequence uiii when four letters picked without replacement from {v: 4, i: 4, u: 5, q: 3}. 1/364 Two letters picked without replacement from zhzrrp. Give prob of sequence pr. 1/15 Four letters picked without replacement from {u: 5, q: 3, a: 2, z: 2, y: 3}. Give prob of sequence zuuq. 1/273 What is prob of sequence wa when two letters picked without replacement from {k: 2, w: 1, a: 1, g: 1, d: 2, x: 1}? 1/56 Calculate prob of sequence eew when three letters picked without replacement from {e: 4, c: 4, w: 2, a: 2}. 1/55 Three letters picked without replacement from nehn. What is prob of sequence nhn? 1/12 Two letters picked without replacement from yytzynx. What is prob of sequence zt? 1/42 Two letters picked without replacement from zeezzesessese. Give prob of sequence se. 2/13 Calculate prob of sequence rkrd when four letters picked without replacement from {d: 2, k: 2, r: 4}. 1/35 What is prob of sequence eyy when three letters picked without replacement from yyeyyeyyyyeyyyy? 66/455 What is prob of sequence lmmm when four letters picked without replacement from {l: 5, m: 8}? 14/143 Two letters picked without replacement from ejj. What is prob of sequence ej? 1/3 Calculate prob of sequence ghk when three letters picked without replacement from {g: 2, m: 1, h: 1, k: 2}. 1/30 Two letters picked without replacement from rleleheeel. Give prob of sequence lr. 1/30 What is prob of sequence qnnz when four letters picked without replacement from hnqqyznt? 1/420 Two letters picked without replacement from {l: 1, b: 6, p: 10}. Give prob of sequence pp. 45/136 Calculate prob of sequence wxg when three letters picked without replacement from {w: 1, o: 2, m: 2, d: 2, x: 1, g: 1}. 1/504 Two letters picked without replacement from {b: 2, u: 1, o: 1}. Give prob of sequence bu. 1/6 Three letters picked without replacement from {j: 3, z: 6, x: 1, m: 2, r: 1}. What is prob of sequence mjz? 3/143 Calculate prob of sequence vv when two letters picked without replacement from vbwfbwbvbo. 1/45 Calculate prob of sequence dj when two letters picked without replacement from {j: 5, e: 5, v: 3, d: 5, r: 1}. 25/342 Calculate prob of sequence qqq when three letters picked without replacement from qqqs. 1/4 Two letters picked without replacement from {s: 11, a: 7, f: 2}. Give prob of sequence ss. 11/38 Calculate prob of sequence wd when two letters picked without replacement from rjrwrwjwwjwwrrwrdw. 4/153 Four letters picked without replacement from iikkz. Give prob of sequence ziik. 1/30 What is prob of sequence fub when three letters picked without replacement from vubbbbbvufbbbbbfbbff? 4/285 Three letters picked without replacement from {h: 4, t: 3}. Give prob of sequence hhh. 4/35 Two letters picked without replacement from duud. What is prob of sequence du? 1/3 Two letters picked without replacement from orooorooiohorfrro. Give prob of sequence rh. 5/272 Two letters picked without replacement from vjdvvtkrrvvvvkdrv. Give prob of sequence jv. 1/34 What is prob of sequence ii when two letters picked without replacement from hbibbhhhhbbi? 1/66 Two letters picked without replacement from {z: 2, m: 7}. Give prob of sequence zz. 1/36 Three letters picked without replacement from {g: 1, p: 1, t: 1}. Give prob of sequence tgp. 1/6 Four letters picked without replacement from {q: 1, n: 3, u: 4, v: 1, m: 5, c: 1}. Give prob of sequence mmuq. 2/819 Three letters picked without replacement from ldwddwwwudd. Give prob of sequence lww. 2/165 What is prob of sequence bb when two letters picked without replacement from {b: 5, m: 3}? 5/14 Four letters picked without replacement from {a: 2, c: 3, j: 5, n: 3, t: 1, x: 1}. Give prob of sequence cjxn. 1/728 Calculate prob of sequence kkkk when four letters picked without replacement from pkppkkppkppkkk. 5/143 What is prob of sequence ro when two letters picked without replacement from orkmurm? 1/21 Four letters picked without replacement from {n: 3, t: 1, y: 12}. Give prob of sequence nyyy. 33/364 What is prob of sequence pmmk when four letters picked without replacement from pmmmk? 1/20 Two letters picked without replacement from {n: 6, t: 4}. Give prob of sequence tn. 4/15 Two letters picked without replacement from {o: 7, d: 2, a: 4}. What is prob of sequence do? 7/78 Two letters picked without replacement from aaa. Give prob of sequence aa. 1 What is prob of sequence gte when three letters picked without replacement from tqqqetqqetqtqqgq? 1/420 Calculate prob of sequence yy when two letters picked without replacement from uzzyzuzyyyy. 2/11 Four letters picked without replacement from zbbzzgzgbbbbzbzbzb. Give prob of sequence bzbz. 7/170 Two letters picked without replacement from {b: 3, j: 1, z: 2, g: 1}. Give prob of sequence bg. 1/14 Two letters picked without replacement from {v: 11, r: 1}. What is prob of sequence vr? 1/12 What is prob of sequence lib when three letters picked without replacement from {o: 4, i: 4, b: 3, l: 4}? 8/455 What is prob of sequence kkkd when four letters picked without replacement from {h: 1, k: 5, d: 4}? 1/21 Calculate prob of sequence ot when two letters picked without replacement from {o: 2, p: 1, t: 7}. 7/45 Calculate prob of sequence elle when four letters picked without replacement from {l: 7, g: 1, e: 2, f: 4, i: 2}. 1/520 Two letters picked without replacement from {b: 7}. Give prob of sequence bb. 1 What is prob of sequence to when two letters picked without replacement from {g: 6, o: 1, t: 10}? 5/136 Calculate prob of sequence ll when two letters picked without replacement from {e: 1, l: 2, q: 1}. 1/6 What is prob of sequence ffaa w
{ "pile_set_name": "DM Mathematics" }
-1234.19 at most as big as -3/7? True Which is bigger: 3/83280662 or -1? 3/83280662 Which is bigger: 262627 or 262613? 262627 Is -75366246 at most -2? True Is 2554976 != 2554753? True Which is bigger: 4333 or -18.82? 4333 Is -20422 smaller than -0.757? True Is 14107580/27 equal to 522504? False Are 407793356 and -3 equal? False Which is smaller: 1 or 57/90236? 57/90236 Which is smaller: -2 or -34174/30413? -2 Is 20814902/7 > 2973557? True Are 203159 and 123 non-equal? True Is -230048 equal to -229967? False Which is bigger: 9299667/7 or -2/11? 9299667/7 Is 102186530 at most as big as 102186531? True Which is smaller: -113820 or -113607? -113820 Which is greater: -148472/11 or 0.119? 0.119 Which is smaller: 6 or 1137932/9? 6 Is 0 less than or equal to -381/79937? False Are -8/422895 and -0.28 equal? False Do -76/24995077 and 0 have the same value? False Do 17 and 58621/3241 have the same value? False Which is bigger: -0.0206691 or 0.01? 0.01 Which is greater: 1620144 or -147? 1620144 Is -2/13 at least -9814627? True Is 8684867 <= 95533532/11? False Which is bigger: 488435774 or 976871549/2? 976871549/2 Is 38224/10049 smaller than 5? True Is -228348/277 smaller than -824? True Is 1821477 >= 1821430? True Is 66560483 equal to 66560491? False Is 39 at least as big as -28.9328? True Which is smaller: -1127458 or -1127419? -1127458 Which is greater: -2235672 or -6707018/3? -2235672 Is -1 > 12/4624189? False Is 2152798 < 2152753? False Which is smaller: -16634/15147 or -1? -16634/15147 Which is greater: -225950352/11 or -20540940? -20540940 Which is smaller: 1251719/54 or 23180? 1251719/54 Which is greater: -2/564369309 or 0? 0 Is -4/1363 bigger than 33/152? False Is 6284 at most as big as 5538? False Is 0 smaller than -2908/61821? False Which is smaller: -20194329/215 or -93926? -20194329/215 Are 81 and 3085.71 unequal? True Is -80325993 > -80325997? True Which is greater: 105009 or 105223? 105223 Which is smaller: 306096 or -1115? -1115 Are 437437 and 0.08 equal? False Is -26309750 at least -26309747? False Is -10753 >= -3623582/337? False Is -2809489 equal to -2809481? False Is 363853333 greater than or equal to 363853333? True Are 25/17 and 657730 equal? False Which is smaller: -880890 or -7928012/9? -7928012/9 Which is greater: -1/22702149 or -3? -1/22702149 Is 780786052 > 780786053? False Is -3876/1457 bigger than -0.15? False Which is greater: 37 or 1621092? 1621092 Does -1.5 = -43037025? False Which is greater: -97 or -4311? -97 Which is bigger: 4214132 or 4214128? 4214132 Is 108 at most as big as -8/138613? False Is 963 > 286? True Is -15917/7396 at least as big as -1? False Is -2715890 > -2715892? True Are 3910 and -2/5343 equal? False Are 44905071 and 3/5 equal? False Which is bigger: 84271 or 0.324? 84271 Is 16850 bigger than 1076? True Is 23391190 less than 23391177? False Are -9311986 and -9311987 equal? False Is -747690 equal to -747684? False Which is smaller: 55278/6559 or 7? 7 Is -1 at most -2/69186735? True Which is greater: -3.052 or 3692? 3692 Is -1 != 1727/772379? True Is -272297.9 at most as big as -1? True Are -9290 and -0.0161 equal? False Is -19 > -504450? True Is -9/16001 < 8? True Is 184153105 >= 184153097? True Which is greater: 6408 or 3320? 6408 Which is smaller: 76/3 or 11492? 76/3 Which is smaller: 2230 or 2189? 2189 Is 57/2084 less than 0.105? True Are 46864 and 0.08 non-equal? True Is 65868092 greater than 65868095? False Which is greater: -1/29399568 or 0? 0 Which is smaller: -1 or -338153716? -338153716 Which is bigger: 1 or 2877/9292? 1 Are 1 and 2/2450324595 non-equal? True Is -1119 != -16793? True Is 824 greater than -225619? True Which is bigger: 13 or 47084/3279? 47084/3279 Are -9013722 and -9013724 nonequal? True Which is bigger: 124949307 or 124949310? 124949310 Which is bigger: 0 or 213/3248? 213/3248 Is -19667425 != -19667425? False Does 14/5 = -1480427? False Is 1 equal to 96/571123? False Which is smaller: 23 or 1459860? 23 Is 26652 > 639629/24? True Which is smaller: 38070384 or 38070387? 38070384 Is 8377 < 293154/35? False Which is bigger: 2/11 or 446856000? 446856000 Which is smaller: -210 or 33580.1? -210 Is -219 smaller than 44681? True Is -15429 != -16290? True Is -487 smaller than 13884? True Is -160 at most as big as 3336.33? True Is 541939 greater than or equal to 50? True Which is smaller: 3.871 or -2990? -2990 Which is smaller: -136846/55 or -2488? -136846/55 Is 1842 greater than -413? True Is -8454959 equal to -8454959? True Is 396/717991 less than 1? True Is -1 greater than or equal to 11/146638? False Which is smaller: -0.078926 or 146? -0.078926 Is -1008857 greater than or equal to -1008917? True Which is bigger: -543736/43 or -12646? -543736/43 Which is smaller: 1 or -13/2961463? -13/2961463 Is 74780607/2 less than 37390304? True Is 6/2897 less than 17/81? True Which is smaller: 1 or -797/71924? -797/71924 Which is bigger: -795922 or -0.14? -0.14 Is 116535 not equal to 4.47? True Is 11420 >= 8444? True Which is smaller: 1.63976 or -4/11? -4/11 Is 0 <= 15/178531? True Is 1/4 smaller than -71220477? False Which is bigger: 274481 or 274485? 274485 Which is bigger: -87766 or -87741? -87741 Is -1.65 at least 1230/109? False Which is greater: 616345618/15 or 41089709? 41089709 Which is greater: -1 or -49/130980? -49/130980 Do -2514569/18 and -139698 have the same value? False Is -82229 <= -78881? True Which is greater: 4950 or -0.55? 4950 Is 2/3 greater than -122681.2? True Which is bigger: -2133679/51 or -41837? -2133679/51 Is -262971 at least as big as -0.1845? False Is -2288402 <= -2288423? False Which is greater: 2620802 or 2620803? 2620803 Is 1 greater than or equal to 1278/652547? True Is 0 at most 2/1213821585? True Does -3 = -186203210? False Is -2181.7 at most as big as -379/10? True Which is smaller: 1 or 2/41901687? 2/41901687 Is 72481 <= -282? False Are -496819 and -496827 unequal? True Which is smaller: 88/1591067 or 0? 0 Which is bigger: -3003 or 40.12? 40.12 Is -4273377 at most 8/3? True Is -532 bigger than -532? False Is -10720014 not equal to -10720006? True Which is smaller: 270975862/3 or 90325287? 90325287 Is 6391437 at least as big as 6391437? True Is -134/11 at most as big as 18028? True Which is smaller: 8/9 or -5205927? -5205927 Which is smaller: 234537/70 or 3352? 234537/70 Which is smaller: -2218614 or 36? -2218614 Is -6027314/99 at most -60881? True Does -50 = 49647? False Is 250893/370 bigger than 677? True Which is smaller: 40 or 52714/11? 40 Do -135/77 and -1372 have the same value? False Is -120189 at most as big as 0.5376? True Is -1 less than 3/123059309? True Is -2 at most -56/72299? True Is -0.1 < 46/751693? True Is -888 equal to -426? False Which is smaller: 5999168 or 5999177? 5999168 Which is smaller: 54 or -23/1431? -23/1431 Which is smaller: -97241 or -2.86? -97241 Which is smaller: 11792/6851 or 3? 11792/6851 Is -969620 greater than or equal to -969616? False Are 230569 and 7147633/31 unequal? True Is 1673871 at most 1673871? True Is 1/4996577 < -1? False Is 59/2200985 at least -1? True Is -2/5 bigger than -19.948918? True Does 23 = 351270.13? False Is 7550629/5 > 1510125? True Is -0.2 bigger than 92480/269? False Do -29410509/112 and -262594 have different values? True Which is bigger: 834 or -5419? 834 Do 175323129 and 175323128 have different values? True Is 2188328/101 equal to 21667? False Is 4121 greater than 4395? False Which is smaller: -6860832 or -6860836? -6860836 Which is smaller: 15230 or 1818? 1818 Is 42790/697 bigger than 60? True Which is smaller: 3097 or 11942? 3097 Which is smaller: 29395/29397 or 0? 0 Is 2.1 < -1275702/11? False Which is smaller: 303665 or -49? -49 Which is greater: -1.5137 or 7835? 7835 Is -677.54 at most 23? True Are -3207893 and -58 equal? False Is -15221119 equal to -121768951/8? False Which is smaller: -1412736 or -1412685? -1412736 Are 83089/87 and 954 equal? False Which is greater: 1105/1464259 or -1? 1105/1464259 Which is bigger: 68400556 or -1/2? 68400556 Does 42 = -58463/40? False Are 3371721 and 3371728 nonequal? True Which is bigger: 71360/21 or 3398? 71360/21 Are -0.22 and -7.0653 nonequal? True Is -32 greater than or equal to -2672031? True Which is bigger: 7082713 or 7082699? 7082713 Which is grea
{ "pile_set_name": "DM Mathematics" }
)**(-3))**(-40) assuming j is positive. j**(-240/17) Simplify j**(4/7)*j/j**(-3/7)*j*j*(j**(3/4))**(-10) assuming j is positive. j**(-7/2) Simplify ((x/x**(-1/54))/x**(1/3))/(x**1*x*(x*x**(-22))/x*x) assuming x is positive. x**(1063/54) Simplify (d*d**(-11/4))**(2/47)*(d/d**(-5))**(-1/26) assuming d is positive. d**(-373/1222) Simplify (((f*(f/f**(5/2)*f)/f)/f)/f**(3/10)*f**(3/8)/(f/f**(-2/5)*f))**(2/55) assuming f is positive. f**(-153/1100) Simplify (b/b**(3/4))**(2/25)*(b*b**(3/5)*b)**(1/9) assuming b is positive. b**(139/450) Simplify ((f/((f*f**(-2/25))/f))/(f**(-5/7)/f*f*f))/((f**0/f)/f)**(-1/24) assuming f is positive. f**(1493/2100) Simplify (p**(-3/8))**(-5/7)*(p*(p*p*p/(p*p*p*p**(-2/21))*p)/p)/(p/p**(3/17)*p*p*p*p) assuming p is positive. p**(-9883/2856) Simplify (g**(4/3)/(g*g/g**(2/5))*(g**(2/21)/g)/(g/g**(-5)))**(-2/69) assuming g is positive. g**(502/2415) Simplify (((g*((g*g*g**(2/5)*g*g*g)/g)/g)/g)**(-2/17)/(g**(1/10)*g*g*g**2))**(-2/7) assuming g is positive. g**(9/7) Simplify (i**(-6)*((i*i**(-2/7)*i)/i)/i*(i/((i/(i/i**7)*i*i)/i))/(i*(i*(i**(2/13)*i)/i)/i))**(-7) assuming i is positive. i**(1314/13) Simplify (((w/(w*w/(w*w*w*w**17)))/w)/w)/(w**(-7/4)*w)*(w**(-1/7))**(-3/25) assuming w is positive. w**(12437/700) Simplify f/(f/(f/((f**(3/29)/f)/f)))*f*f*f/(f*f**(5/12))*f*(f*(f*f/(f/(f**(-1/3)*f)))/f)**48 assuming f is positive. f**(29747/348) Simplify (r*r**(1/4)*r)/(r**(12/7)*r)*r**21*r*r**(15/2)/r*r*r assuming r is positive. r**(841/28) Simplify ((k/k**(-2/15))/((k*k**(-2/25))/k)*k**(1/18)*k*k**(1/9)/k)**(-17/4) assuming k is positive. k**(-1173/200) Simplify (o**(5/12)/o**(-3/7))/((o*(o*o/(o*o*o**(-4)))/o)/o**(-1/57)) assuming o is positive. o**(-5063/1596) Simplify w/(w*w**(-6/7)/w*w)*w*w**9*w**(-11)*w*w**(-14) assuming w is positive. w**(-92/7) Simplify u/(u*u*u**33*u)*u**4*((((u/(u**(-7/6)/u))/u)/u)/u)**(1/15) assuming u is positive. u**(-2789/90) Simplify (o/(o/o**(-11)))/(o*o*o**(-7/6)*o)*(o*o**15)/(((o*o/(o*o**(-12/11)))/o*o)/o) assuming o is positive. o**(137/66) Simplify (t/t**(-2/13))**(5/13)/(t**(-4/13)*t**17) assuming t is positive. t**(-2746/169) Simplify (t**(-12)*t**20*t)/(t**16/t*((t*t**(1/8)/t)/t*t)/t) assuming t is positive. t**(-41/8) Simplify ((s**(-2))**(-32))**(5/12) assuming s is positive. s**(80/3) Simplify (w*w*w/(w*w**4))**27*(w**(-1/7))**(-3/25) assuming w is positive. w**(-9447/175) Simplify (j/((j/j**(7/2))/j))**28*(j**9*j*j*j)**50 assuming j is positive. j**726 Simplify (x**5)**27/(x*((x**(2/29)/x)/x)/x*x*x*x**4/x) assuming x is positive. x**(3826/29) Simplify (u**(-19)/u)/(u**(9/8)*u)*u/(u/u**(-7/4))*(u*u*u/u**(5/4)*u)/u assuming u is positive. u**(-177/8) Simplify ((w*w**8*w*w**4)/(w*w*w**(2/7)*w*w)**38)**(-1/31) assuming w is positive. w**(1042/217) Simplify ((z/(z/(z**(-14)*z)))/(z**(-8)*z))/(z**(-1/10)*z*z*z**(-3/16)/z*z) assuming z is positive. z**(-617/80) Simplify (y**(-22)*y*y/(y**(-2/29)/y))/(y**7/y)**36 assuming y is positive. y**(-6813/29) Simplify (k**5/k**(-16))/(k**2*k*k**(-18)) assuming k is positive. k**36 Simplify q**4*q*q*q*q*q**(-34)*(q**(-5/2)*q)/q**(1/4) assuming q is positive. q**(-111/4) Simplify u/(u*u*u/(u/(u/((u**(-3/4)*u)/u)*u)))*u**4*u*u**(-1/15)*u/u**27 assuming u is positive. u**(-1489/60) Simplify ((d**(-15)/d*d)/(d/d**(7/3)))**24 assuming d is positive. d**(-328) Simplify (j/(j*j*j/(j*j*j**(17/4))*j))**(1/17)/(j*j**16/j)**(5/4) assuming j is positive. j**(-1347/68) Simplify ((a**(-4/7)*a*a*a*a**(-2/3)*a)**(-6/25))**39 assuming a is positive. a**(-4524/175) Simplify ((y**3*y/(y*y*y*y**(1/2)/y*y)*y*y)/(y**(3/5)/y**(-7)))**(-21/4) assuming y is positive. y**(1071/40) Simplify (j**17/j**(-45))**28 assuming j is positive. j**1736 Simplify ((t/(t**12/t))/(t*t**(-14/5)*t))/(t**(1/4)/t)**(-20) assuming t is positive. t**(-121/5) Simplify ((x**(1/3)/x)**50/(x/x**0*x**(3/7)))**(-2/3) assuming x is positive. x**(1460/63) Simplify (((z**(-3/7)/z)/z*z**(-2))/(z/(z/(z*z**(-1/8)))*(z**(-5)/z)/z))**(2/23) assuming z is positive. z**(95/644) Simplify ((q*q*q**(-1/43)/q*q*q)/q**32)/((q/((q/(q/(((((q**13/q)/q)/q)/q)/q)))/q))/q)**(1/19) assuming q is positive. q**(-23411/817) Simplify (x**(-6)*x**12)/(x**(-2/33)/x**(-14)) assuming x is positive. x**(-262/33) Simplify (s/(s/s**(-2/19))*(s*s**(7/3)*s*s*s*s)/s)/(s**(-1/30)*s/((s*(s**(-2)/s)/s*s)/s)) assuming s is positive. s**(1289/570) Simplify o*o**(6/13)*(o*o**0*o)/o*(o/((o/(o**(-8)/o)*o)/o*o))/(o/o**1) assuming o is positive. o**(-98/13) Simplify (t**(-5)*t)/(t*t/(t/t**(-17))*t)*t**17*t**(-17) assuming t is positive. t**11 Simplify (b*b**(-1/3))**24*(b/((b/b**(9/4))/b))/(b*b**9) assuming b is positive. b**(37/4) Simplify (i/(i**(4/3)*i))**(2/5)/((i/(i*i**(-7/3)*i*i))/(i**(1/6)*i)) assuming i is positive. i**(3/10) Simplify h**(14/5)/h*h*h/(h**(2/19)/h)*(h/(h*h*h**(-6)))/((h*h**(3/8))/h) assuming h is positive. h**(7083/760) Simplify (a**(-10/9))**(-44)/(((a/a**(-19)*a)/a)/(a/(a**(2/125)*a))) assuming a is positive. a**(32482/1125) Simplify (x**(1/6)*x**0*x)/(x**(14/9)*x**(2/39)) assuming x is positive. x**(-103/234) Simplify (((j**(2/39)/j)/j)/((j/((j*(j/(j**(-4)/j*j)*j)/j)/j*j))/j))/(((j*j**28)/j)/j*j/j**(3/10)) assuming j is positive. j**(-9223/390) Simplify (q/q**15)/q*q**(7/4)*(((q**10*q)/q)/q)**(-11/8) assuming q is positive. q**(-205/8) Simplify (((o/(o**(-13)/o))/(o/(o*(o**(5/3)*o)/o*o)))**(2/103))**(1/51) assuming o is positive. o**(106/15759) Simplify ((j**(-2/15)*j*j**4*j)/(j**(-2/7))**(-41))**(-2/37) assuming j is positive. j**(1228/3885) Simplify ((m**1)**28*m/(m**(-1/4)*m)*m/m**(2/3))**(1/22) assuming m is positive. m**(343/264) Simplify ((q/((q**3*q)/q*q)*q*q*q**2*q*q*q)**(-18))**17 assuming q is positive. q**(-1224) Simplify (o**(-17)/o*o*o**8)/(o**(-13)*o*o**(-17)) assuming o is positive. o**20 Simplify (r*r/(r/((r**(3/5)/r*r*r)/r)*r)*r)/r**(5/8)*r**8/r**(-20) assuming r is positive. r**(1159/40) Simplify ((i/i**(-2/3))**43)**(-15) assuming i is positive. i**(-1075) Simplify n/n**2*n*n**(-2)*(n**6)**(1/11) assuming n is positive. n**(-16/11) Simplify ((s**(-1/3))**18/(s**(3/4)/((s**(-2/15)/s)/s*s)))**(-3) assuming s is positive. s**(473/20) Simplify (z**23)**(3/7)*(z*z**(2/17))/z**(-2/99) assuming z is positive. z**(129532/11781) Simplify (b**(-15))**32*b*b/b**(1/12)*b*b**(-25) assuming b is positive. b**(-6025/12) Simplify ((l**(1/3)/(l*l**(-1)))/(((l*((l/(l/(l/(l/l**(2/5)*l)*l)))/l)/l)/l)/(l/l**(-4))))**(-3) assuming l is positive. l**(-104/5) Simplify ((j*j**(6/11)*j)/(j/(j/(j/(j*j**(-2/31))))))/(j**2*j)**19 assuming j is positive. j**(-18591/341) Simplify (m/m**(-1/14)*m)**(-2/5)*m/m**(-1/38)*m*m*m*m**16*m*m*m assuming m is positive. m**(29523/1330) Simplify ((((p*p*p/((p*p**(-10)*p)/p))/p)/p*p)/((p*p**(-10))/p))/(p**(-2/11)/(p*((p*(p*p*p**(-6))/p)/p)/p)) assuming p is positive. p**(178/11) Simplify g**11/g*g*g/(g**(-1/7)*g)*g*g*(g**(-1/10)*g)/g*g*g*g**8*g*g assuming g is positive. g**(1753/70) Simplify (i**25/(i**11*i))/(i**(-25))**(-3/5) assuming i is positive. i**(-2) Simplify (y/((y**(2/17)/y)/y))/y**(-7)*(y**(-7)/y)/y**(-1/8) assuming y is positive. y**(273/136) Simplify ((o/(o**4*o)*o)/o**4*o**(-2)/o**(-1/6))**(-10/7) assuming o is positive. o**(265/21) Simplify ((q**(1/2))**(-3/16)*(q/q**(-1))/((q*q**(-4)*q)/q))**(-2/29) assuming q is positive. q**(-157/464) Simplify (f**(-18)*f**(-10/9))/((f**(-2/3)*f)/(f*f*f**(-10))) assuming f is positive. f**(-247/9) Simplify ((i*i/(i/i**(-5)*i)*i*i/i**(-2/5))/(((i*(i**(2/3)*i)/i)/i)/i)**7)**50 assuming i is positive. i**(-40/3) Simplify (g**(-6/7)*g*g*g**1*g**5/(g**(-3/5)/g*g))**(-16/3) assuming g is positive. g**(-4336/105) Simplify ((a*a**34*a*a)/a**28)**(-2/27) assuming a is positive. a**(-2/3) Simplify (i*i**(9/7))**(-41)*((i*i/(i*i**(1/3))*i)/i*i*i*i)**(-19) assuming i is positive. i**(-3431/21) Simplify f/f**(2/35)*f**(-1/13)*f**4/(f/f**(2/31)) assuming f is positive. f**(55439/14105) Simplify v*v**(10/3)*(v/(v**10*v*v)*v)/v*v*(v**(-2/7)/v)**12 assuming v is positive. v**(-443/21) Simplify ((c**(-2/13)/((c*c**(-4/5))/c))/(c/(c*c**13)*c**(-7)))**9 assuming c is positive. c**(12078/65) Simplify ((c*c/((c**(-5)*c*c)/c))/c**(1/5))/(c**(2/9))**18 assuming c is positive. c**(9/5) Simplify (w/(w*w*w**(-2/17))*w**27)/(w**(2/9))**(-42) assuming w is positive. w**(1
{ "pile_set_name": "DM Mathematics" }
t is 474 minutes before 12:56 AM? 5:02 PM What is 573 minutes after 1:51 PM? 11:24 PM What is 107 minutes before 8:13 PM? 6:26 PM How many minutes are there between 4:11 AM and 12:11 PM? 480 What is 92 minutes after 5:39 PM? 7:11 PM How many minutes are there between 4:27 PM and 4:31 PM? 4 What is 98 minutes after 7:30 AM? 9:08 AM How many minutes are there between 5:27 AM and 7:05 AM? 98 What is 507 minutes after 11:42 AM? 8:09 PM How many minutes are there between 4:47 PM and 3:54 AM? 667 What is 211 minutes after 8:49 AM? 12:20 PM What is 160 minutes after 8:21 AM? 11:01 AM What is 71 minutes after 3:26 AM? 4:37 AM What is 644 minutes after 5:06 PM? 3:50 AM What is 416 minutes before 2:53 PM? 7:57 AM What is 388 minutes before 10:28 PM? 4:00 PM What is 342 minutes before 11:49 AM? 6:07 AM How many minutes are there between 3:45 PM and 11:31 PM? 466 How many minutes are there between 12:35 AM and 2:32 AM? 117 What is 634 minutes before 5:34 AM? 7:00 PM What is 345 minutes before 3:03 PM? 9:18 AM What is 251 minutes before 1:17 PM? 9:06 AM How many minutes are there between 4:53 PM and 6:22 PM? 89 What is 243 minutes before 5:24 AM? 1:21 AM How many minutes are there between 1:27 PM and 10:22 PM? 535 What is 677 minutes before 5:14 AM? 5:57 PM How many minutes are there between 11:41 PM and 5:52 AM? 371 How many minutes are there between 6:08 AM and 7:25 AM? 77 What is 586 minutes after 8:45 PM? 6:31 AM What is 618 minutes after 1:50 PM? 12:08 AM How many minutes are there between 12:56 PM and 5:05 PM? 249 How many minutes are there between 9:29 AM and 11:44 AM? 135 How many minutes are there between 12:23 PM and 1:13 PM? 50 What is 414 minutes before 3:43 AM? 8:49 PM What is 25 minutes after 2:41 PM? 3:06 PM What is 454 minutes after 1:27 PM? 9:01 PM How many minutes are there between 5:16 PM and 5:11 AM? 715 What is 439 minutes before 8:21 AM? 1:02 AM What is 421 minutes after 7:22 AM? 2:23 PM How many minutes are there between 8:26 PM and 9:04 PM? 38 What is 702 minutes after 11:13 PM? 10:55 AM How many minutes are there between 4:37 PM and 10:00 PM? 323 How many minutes are there between 8:19 AM and 9:00 AM? 41 What is 42 minutes before 11:02 PM? 10:20 PM How many minutes are there between 10:01 AM and 9:40 PM? 699 What is 372 minutes before 5:33 PM? 11:21 AM How many minutes are there between 11:25 PM and 6:21 AM? 416 What is 345 minutes before 8:30 PM? 2:45 PM What is 485 minutes before 6:05 AM? 10:00 PM How many minutes are there between 11:23 PM and 1:51 AM? 148 How many minutes are there between 3:02 PM and 2:23 AM? 681 How many minutes are there between 2:34 PM and 12:59 AM? 625 What is 557 minutes after 11:10 AM? 8:27 PM How many minutes are there between 12:16 AM and 5:11 AM? 295 What is 488 minutes before 7:19 PM? 11:11 AM How many minutes are there between 11:25 PM and 1:32 AM? 127 What is 385 minutes after 2:31 PM? 8:56 PM What is 96 minutes before 11:00 PM? 9:24 PM How many minutes are there between 1:19 PM and 10:25 PM? 546 How many minutes are there between 3:42 PM and 12:30 AM? 528 What is 708 minutes before 3:50 PM? 4:02 AM What is 520 minutes before 1:46 AM? 5:06 PM How many minutes are there between 4:27 AM and 10:40 AM? 373 What is 194 minutes before 5:35 AM? 2:21 AM How many minutes are there between 11:18 AM and 9:34 PM? 616 How many minutes are there between 1:20 AM and 3:02 AM? 102 What is 20 minutes before 3:29 AM? 3:09 AM What is 514 minutes after 7:46 PM? 4:20 AM How many minutes are there between 3:04 PM and 3:42 PM? 38 What is 623 minutes before 2:26 PM? 4:03 AM What is 624 minutes before 10:16 PM? 11:52 AM How many minutes are there between 3:44 AM and 3:34 PM? 710 What is 558 minutes before 4:22 AM? 7:04 PM What is 418 minutes after 1:20 PM? 8:18 PM What is 639 minutes after 10:16 PM? 8:55 AM What is 496 minutes after 6:32 PM? 2:48 AM What is 246 minutes before 12:11 AM? 8:05 PM How many minutes are there between 12:45 AM and 2:57 AM? 132 What is 135 minutes after 10:59 AM? 1:14 PM How many minutes are there between 8:25 PM and 8:05 AM? 700 What is 42 minutes before 2:26 AM? 1:44 AM What is 525 minutes after 9:10 PM? 5:55 AM What is 54 minutes after 2:08 PM? 3:02 PM How many minutes are there between 12:31 PM and 1:04 PM? 33 How many minutes are there between 2:39 AM and 2:18 PM? 699 How many minutes are there between 8:52 AM and 6:08 PM? 556 How many minutes are there between 8:43 AM and 11:58 AM? 195 How many minutes are there between 2:12 PM and 12:04 AM? 592 What is 172 minutes after 3:40 AM? 6:32 AM What is 657 minutes after 10:41 PM? 9:38 AM How many minutes are there between 5:44 PM and 8:08 PM? 144 How many minutes are there between 1:48 AM and 4:40 AM? 172 How many minutes are there between 12:38 PM and 8:14 PM? 456 What is 690 minutes after 1:59 PM? 1:29 AM How many minutes are there between 10:19 PM and 4:53 AM? 394 What is 492 minutes before 2:49 AM? 6:37 PM How many minutes are there between 10:01 AM and 9:02 PM? 661 How many minutes are there between 1:13 AM and 9:34 AM? 501 What is 372 minutes after 3:01 AM? 9:13 AM What is 646 minutes after 11:26 PM? 10:12 AM What is 690 minutes before 4:53 AM? 5:23 PM How many minutes are there between 4:53 PM and 11:19 PM? 386 How many minutes are there between 7:26 AM and 1:10 PM? 344 What is 237 minutes after 6:03 AM? 10:00 AM What is 391 minutes after 6:05 PM? 12:36 AM How many minutes are there between 12:40 PM and 4:03 PM? 203 How many minutes are there between 7:57 AM and 10:13 AM? 136 What is 27 minutes after 9:13 PM? 9:40 PM What is 681 minutes after 4:45 PM? 4:06 AM How many minutes are there between 7:58 AM and 7:31 PM? 693 How many minutes are there between 10:10 AM and 4:05 PM? 355 How many minutes are there between 9:13 AM and 8:35 PM? 682 What is 11 minutes before 4:40 PM? 4:29 PM How many minutes are there between 8:45 PM and 7:05 AM? 620 What is 492 minutes before 7:24 PM? 11:12 AM How many minutes are there between 11:02 AM and 5:43 PM? 401 How many minutes are there between 4:19 PM and 3:19 AM? 660 How many minutes are there between 2:11 PM and 2:51 PM? 40 What is 354 minutes after 3:11 AM? 9:05 AM What is 231 minutes after 1:06 AM? 4:57 AM What is 51 minutes before 12:38 AM? 11:47 PM What is 117 minutes after 8:27 AM? 10:24 AM How many minutes are there between 1:12 PM and 11:42 PM? 630 How many minutes are there between 6:18 AM and 6:28 AM? 10 How many minutes are there between 8:11 PM and 2:06 AM? 355 How many minutes are there between 6:53 AM and 4:10 PM? 557 How many minutes are there between 10:27 PM and 1:23 AM? 176 What is 618 minutes after 3:34 PM? 1:52 AM How many minutes are there between 7:16 AM and 8:46 AM? 90 What is 11 minutes after 6:30 PM? 6:41 PM What is 525 minutes before 10:35 PM? 1:50 PM What is 472 minutes after 12:24 AM? 8:16 AM How many minutes are there between 6:42 AM and 9:53 AM? 191 What is 386 minutes after 3:40 AM? 10:06 AM How many minutes are there between 3:55 PM and 11:41 PM? 466 What is 195 minutes after 6:00 PM? 9:15 PM What is 388 minutes before 12:57 PM? 6:29 AM What is 303 minutes before 12:22 PM? 7:19 AM How many minutes are there between 10:35 PM and 2:26 AM? 231 How many minutes are there between 12:25 AM and 5:25 AM? 300 What is 166 minutes before 1:53 PM? 11:07 AM How many minutes are there between 3:00 PM and 6:27 PM? 207 How many minutes are there between 10:49 AM and 9:09 PM? 620 How many minutes are there between 2:41 PM and 5:27 PM? 166 How many minutes are there between 5:55 PM and 11:15 PM? 320 What is 466 minutes after 3:51 PM? 11:37 PM How many minutes are there between 10:25 PM and 8:53 AM? 628 How many minutes are there between 9:28 PM and 6:47 AM? 559 What is 345 minutes after 11:36 PM? 5:21 AM How many minutes are there between 10:35 AM and 2:02 PM? 207 What is 556 minutes before 8:26 PM? 11:10 AM How many minutes are there between 5:07 PM and 7:19 PM? 132 What is 139 minutes before 2:14 PM? 11:55 AM What is 309 minutes before 12:50 AM? 7:41 PM How many minutes are there between 1:26 PM and 2:29 PM? 63 What is 583 minutes after 12:30 AM? 10:13 AM What is 353 minutes after 3:56 PM? 9:49 PM What is 373 minutes before 2:20 PM? 8:07 AM What is 584 minutes before 10:08 PM? 12:24 PM Wh
{ "pile_set_name": "DM Mathematics" }
4*m, 5*l - 5*m - 6078 = -6098 for l. 0 Solve -6*o - d - 332 = 0, 4*o - 2*d = 27861331 - 27861547 for o. -55 Solve 4*o - 5*x = -40, 895*o - 79 = 448*o + 448*o - 7*x for o. 5 Solve c - 5*q = 6*c - 7*c - 140, -18*q - 168 = -c + 5*c for c. -60 Solve 45628 - 45460 = j - 2*o, -j - o = -2*j + 86 for j. 4 Solve -176*q + 5*p - 163 = -193*q, 245*q = 240*q + 4*p + 37 for q. 9 Solve 13 = z - 333*q, -1128*z + 52 = -1124*z + 2*q for z. 13 Solve 5*p + 5*i = 15, 600*i - 37 = -31*p + 597*i for p. 1 Solve -4*a - 4*t = 3 - 79, 4*t = -36*a - 30 + 10 for a. -3 Solve 20*q + 4*f + 133 = -41 + 42, 5*f = -2*q - 4 for q. -7 Solve -4*d - r = d + 8 - 4 + 6, 9*r + 36 = -9 for d. -1 Solve -4*f + 132 = -6*m, 7*m = 3*f + 16*m - 13*m - 98 for f. 30 Solve 1717 = 5*j - 526*f - 407, -5 = -3*f - 5 - 4 - 8 for j. 4 Solve 21*f + 204 - 226 = -j - 353, f = 2*j - 26 for f. -16 Solve 3*x - 30477*q + 7 = -30476*q, -4*q + 28 = 0 for x. 0 Solve m + 192 = -2*q, 5*q = 2701*m - 2681*m - 390 for m. -4 Solve 0 = -109*r - 91*r + 195*r + 3*a - 303, 4*r + 4*a + 268 = 0 for r. -63 Solve 14602*q - 7318*q - 7286*q + 37 = 5*o, 4*o = 3*q + 2 for q. 6 Solve 4*u - 2484 = 6*m - 2332, -10*u + 75 = 4*m - 343 for u. 41 Solve 2*i = 5*v + 34, -103753*v + 103754*v + 16 = 5*i for v. -6 Solve -3*a - 6*u = 128839 - 128788, 2*u + 15 = a for a. -1 Solve 22*d + 3*c = 36*d + 79, d + 3*c = 3 + 1 for d. -5 Solve -3441*f + 32 + 5 = y - 3440*f, 0 = 5*y - 4*f + 103 for y. 5 Solve -4305*i + 4303*i + 13*n - 2 = 5*n, 4*n = 0 for i. -1 Solve 5*r = -7*u + 19 - 10, -5*u + 9*r = 5 + 1 - 25 for u. 2 Solve -2*v - 28040*a - 12 = -28038*a, 4*a + 9 = v for v. -3 Solve 72*i - 76*i + 64 = 0, 2*v - 24 = 12*v + i for v. -4 Solve -24164 = 2*m - c - 24195, -3*m + 3*c + 39 = 0 for m. 18 Solve 4*b + 2 = 4*p + 6, -9*p + 43*p = 3*b + 26*p + 11*p - 15 for b. 3 Solve 0 = 5*k - 4*r + 7, 2*k - 20*r - 20*r - 74 = -0*k - 0*k for k. -3 Solve 15*n + 3*r = -156 - 912, -8810*n - 4*r + 144 = -8812*n - 16 for n. -72 Solve -k = 4*u - 13, 806*k - 839*k = -3*u + 246 for k. -7 Solve 5*p + 3*g + 80 = 0, -56*g + 28*g + 26*g - 75 = 5*p for p. -13 Solve -5*w - 4*k = -81, -2*w - 98 = 67*k - 98*k for w. 13 Solve 4*z + s - 235 = 2*z + 6*s, -s - 20 = -66*z + 71*z for z. 5 Solve 378 = 18*w - 9*w + 9*z - 0*z, -2*w + 4*z + 72 = 0 for w. 40 Solve z = 2*z - 6*t + 2*t, 9*t + 12*t = 0 for z. 0 Solve 0 = -4*m + 5*h - 12, 3*m - 2*h - 3368 = -3384 for m. -8 Solve 2*u - 15*l + 99 = 0, 4*u + 978 = 5*l + 955 for u. 3 Solve -8407*h + 8405*h + 63 = -3*r, -5*h = 5*r - 170 for h. 33 Solve -31 = 3*f - g, 20*g = 11*f - 595413 + 596082 for f. 1 Solve -4*p = -p - 3*k - 61020 + 60981, 5*k = 2*p - 53 for p. 4 Solve 2*x + 8234*j - 28 = 8237*j + 41 + 2, 35*x = -3*j + 1409 for x. 40 Solve 3*j + 1467 = -2*a + 1480, a + 4*j = -a + 16 for a. 2 Solve -2*n + 0*n - 98 = 26*x - 12, 7*n - 10*n = -4*x - 86 for x. -5 Solve -8*w + 18322*c - 18318*c + 35 - 3 = 0, 3*w + 5*c + 79 = 0 for w. -3 Solve -217*y - 18 = -4*z - 220*y, -24 = 7*z - 4*y for z. 0 Solve 0 = 8*k + 2*y + 36, -8*y = -k + 2776 - 2599 for k. 1 Solve 5*c + 3*x = 13, -c + 27*x + 5 = 14*x + 16*x for c. 2 Solve -7*l + 9*l - 4*r - 27 = -2*l - 71, 3*r = -3*l - 21 for l. -9 Solve 0*y - 4*y - 2 = x, -14*x + 12*x + 37*y = 184 for x. -18 Solve -4*a - n - 2 = 2*n, -13*a - 49 + 56 = 3*n for a. 1 Solve 0 = 68*l + 5*x + 242, -5*l + 2*x - 6 - 2 = 24 for l. -4 Solve 5*c - 29 = 2*p + 9, p + 6 = -803*c + 798*c + 2 for p. -14 Solve 5*d - 4*m - 6 = 4*d + 2, 5*d - 3*m = 57 for d. 12 Solve -26*p = -22*p - 3*g - 14, 60 = -2*p + 35*g for p. 5 Solve w - 1 - 2 - 8 = 2*w, 21 = 10*r - 3*w - 62 for r. 5 Solve 2*j + 8*t + 91 = 26 - 81, 2*j - 197 = 8*t - 39 for j. 3 Solve 30*q - 18*q - 16*q = -z + 2, 2*q - 2 = 2*z for z. -2 Solve 16*p = -n + 9, 3*n + 130 = p + 108 for n. -7 Solve 32*r - c - 316 = 0, -r - 4*c - 347 + 373 = 0 for r. 10 Solve u - 1 = 2*p - 4, 2*p = -5*u + 154 - 121 for p. 4 Solve -39160*p - 4*k = -39159*p + 31, -p - 11 = -k for p. -15 Solve -5*j - 130 - 82 = 78, 0*x - j - 78 = 5*x for x. -4 Solve -6*s + 78 - 74 = -4*s - 4*q + 38, -20*q = 11*s - 149 for s. -1 Solve -5*m + 2*x = -m - 46, -378*m + 379*m - 2*x - 16 = 0 for m. 10 Solve 5*l + b = 5, 64*l + 70*l + 5*b + 95 = 133*l for l. 5 Solve -t + 7 = -10*a, 6897*t - 2*a = 6893*t - 124 for t. -33 Solve 37300*a + 2*o = 37299*a + 7, 35 = 7*o for a. -3 Solve 3*b + 0*b - 169 = -43*t, 8*b - 9 = -3*t + 5*b for t. 4 Solve k + 163*f = 157, -224 + 189 = 5*k - 5*f for k. -6 Solve 4*y - 2248 + 2412 = -p, 14*p - 5*y - 164 = 5*p for p. -4 Solve 2*v - 4*w + 9 = -67, 26*w - 52 = 0 for v. -34 Solve 4737*b + 36 = 4740*b - h, 5*h + 24 = 2*b for b. 12 Solve 9262*n + 0*l = 9266*n + 2*l + 10, -7*n - 8*l = 13 for n. -3 Solve -35*x - 142 = -2*k, -107 = -5*x - 127 for k. 1 Solve 4*y - 3*p - 181 = -165, -4*p - 14 = 2*y for y. 1 Solve -3*j + 7*j = -198*k + 1050, -2*k + 2*j + 12 - 32 = 0 for k. 5 Solve -4*r + 3*x - 60 = 0, 5*r - 62*x = -80*x + 12 for r. -12 Solve -8*u - 16999 = -4*v - 17075, 4*u + 4*v + 76 = 0 for u. 0 Solve 23*p - 147*p = -75*p + 2*t + 186, -2*p - 23 = -0*p - 3*t for p. -4 Solve -3*s + 9 + 1 + 2 = 2*s - s, 4*k = 237*s + 68*s - 947 for k. -8 Solve 45*a = 39*a + 3*g + 147, 3*a + 20*g + 30 = 24*g + 116 for a. 22 Solve 3*u = 2*a + 12 + 4, 85 = 32*a - 2*u + 341 for a. -8 Solve 2*l = 4*b - 347 + 397, -15*l + 34 = -16 + 5 for b. -11 Solve 4*g = -90*k - 4140, 0 = 2*g + 8236*k - 8240*k - 184 for g. 0 Solve 10*a - 10*a - 4*v - 14 = -a - v, a + 8 - 22 = 16*v for a. 14 Solve -3*s + 15 = -2462*f + 2465*f, -s + 3 = 2*f for s. 7 Solve -2180 + 2269 = 2*n + 6*n - a, -3*n + 37 = -4*a for n. 11 Solve h - b + 5506 = 5515, 6*b = -h - 54 for h. 0 Solve -2*k + 2*w = -16, 0 = -4*k - 4*w - 16 + 90 - 25 - 24 - 17 for k. 5 Solve 3*i + 2*a - 25 = 0, -47*i + 41*i + 3*a - 48 = 0 for i. -1 Solve -2*l - 3*i + 7 = 0, -56333*l + 19 = -56331*l - i for l. 8 Solve -155105*x = -155112*x + 2*u + 32, x - u - 26 = 0 for x. -4 Solve -4*f + 2*a = -2, f = -999*a + 997*a + 18 for f. 4 Solve -4*h + 3*u + 42 = 0, h - u + u + 234 - 482 = u - 236 for h. 6 Solve -19 = -w + 4*r, -4*w + 3 + 16 - 5 = -3*r + 3 for w. -1 Solve 4*s + 2*h = 82, 15092 = 4*s + 333*h + 5537 - 5422 for s. -2 Solve -3*t + 16*b - 13*b = -79 + 106, 4 = -3*t - 2*b + 7 for t. -3 Solve 0 = -6*a - 4*z - 30, 10091 = 2*z + 10097 for a. -3 Solve 3*u - 5*x + 164790 = 164819, -14 = 2*x for u. -2 Solve 3*o + 302*h = 306*h + 64, -h - 16 = 0 for o. 0 Solve -5*v + 331 - 618 = -50*n - 25*n + 633, n = -2*v + 4 for n. 12 Solve -4*a - 256 = -4*h, 2543*a - 1269*a = 1276*a + 6*h - 352 for a. -4 Solve -7*a + 3*a = 10*x - 94, -54 - 16 = -3*x - 5*a for x. 5 Solve -5*g + 4*g + k + 5 = -2*g + 2*g - 1, 11*g + 3*k + 18 = 0 for g. 0 Solve -i - 8*d - 2 = -7*d, d - 24 = 5*i - 10*d + 9*d for i. -4 Solve -901 = -f + 30*b, -f - 18*b + 31 = -19*b for f. 1 Solve 13*c = -r - 46 - 21, -c = 2*r + 9 for c. -5 Solve q - 779 = -13*u, -4*u - 9388 + 9629 = -q for u. 60 Solve -24*q - 5*t + 102 = -26*q, -18*q - 318 = -15*t for q. -1 Solve -14*w + 15*w + 2*d - 6 = 0, w - 52*d - 2 = -50*d for w. 4 Solve 4*r + 3*a - 934 = -1207, -a - 75 = -4*r for r. -3 Solve -l = -1914*t + 1911*t - 21, -5*l = 2*t - 3 for t. -6 Solve -m + 20488*g - 20491*g = 24, -44 = 2*m + 5*g for m. -12 Solve -6098 = 2*a - 5*w - 6141, -207*a + 3929 = 4*w for a. 19 Solve 12211114*u - 12211113*u = k + 4, -k + 3*u = 10 for k. -1 Solve -6*q = -21*z, 2*q + 22*z + 22*z = 46*z for q. 0 Solve 429*i - 156 - 371 = 193 + 567, -473 = 4*q + 5*i for q. -122 Solve 3*h - 509485 = -3*j - 509488, -2*h - 8 = 0 for j. 3 Solve 5*a - 12*p = -2, 229*p - 228*p = -2*a - 24 for a. -10 Solve 240*b - 235*b = -4*c + 339, 1137*c = 1131*c + 2*b - 166 for c. -4 Solve -5*b = z - 1054 + 1000, 0*z + b = -z + 10 for z. -1 Solve 10*n - 23 = 11*g - 7*g + 105, 5*g - 85 = -5*n for n. 14 Solve -n + n - n = -4*o - 0*n - 27, 298*o - 5*n + 1803 = 0 for o. -6 Solve -2*p - 6 = 3*t, 4*p + 22 + 34 = 5*t for t. 4 Solve -a + 61 - 51 = 5*o, -4*a = -o - 21 + 2 for o. 1 Solve 0 = 3*p + 3*q - 3, -60*p - 26*q = -56*p - 26 for p. 0 Solve 0 = -m - 4*s - 1 - 15, 6*m + 6*s = 9*m + 138 for m. -36 Solve 37*y + 5*p = 3*p + 290, 18 = -37921*y + 37924*y + 2*p for y. 8 Solve -g = m - 12 - 6, 1475*m + 3*g = 1472*m + 7*g + 19 for m. 13 Solve 8*f = -3*m - 60, -2714*m + 3*f + 9 = -2719*m - 122 for m. -28 Solve 0 = 3*g - 0*c + 4*c - 98, -11
{ "pile_set_name": "DM Mathematics" }
- 2*d + 2*d + 9 wrt d. -38*d What is the third derivative of -7 - 8*c**2 - 12*c**4 - 50*c**2 + 14*c**3 + 4*c**3 + 13 - 28*c**2 wrt c? -288*c + 108 What is the derivative of 169*y**3 - 169*y**3 + 3349*y**4 + 2094 - 719 wrt y? 13396*y**3 Let s(f) be the third derivative of -f**6/24 + f**5/60 + 41*f**4/6 + 4447*f**3/6 + 274*f**2 + 10*f. Find the first derivative of s(r) wrt r. -15*r**2 + 2*r + 164 Let h(d) be the second derivative of -92*d**7/7 - d**6/30 - 2*d**3/3 - 23*d**2/2 - 1537*d. Find the second derivative of h(g) wrt g. -11040*g**3 - 12*g**2 Let g = -3 + 17. Suppose g + 10 = 6*a. What is the second derivative of -3*y**a - 2*y + 35*y**4 - 18*y**4 wrt y? 168*y**2 Let y(v) = 76*v**3 + 69*v**2 - 3*v. Let a(w) = w**3 - 2*w**2 + w. Let q = -177 - -179. Let p(x) = q*y(x) + 6*a(x). Find the third derivative of p(d) wrt d. 948 Let s(o) = -2919*o**2 - 1867*o - 5. Let w(v) = 5*v**2 - v - 1. Let k(d) = -s(d) + 4*w(d). What is the second derivative of k(c) wrt c? 5878 Let t be (2 + 1 - -11) + -2. Let u = t + -2. What is the derivative of -3*a**2 + 471*a**3 + 3*a**2 + u - 497*a**3 wrt a? -78*a**2 Let n = -227 + 321. Differentiate n - 82*q - 19*q**3 + 40*q + 41*q with respect to q. -57*q**2 - 1 Let x(a) be the third derivative of -5*a + 0*a**3 + 0*a**4 + 11/20*a**5 + 121/210*a**7 + 0*a**6 - 9*a**2 + 0. What is the third derivative of x(r) wrt r? 2904*r Let m(y) = -1015*y**2 + 1526*y + 252. Let d(a) = -a**2 - a - 18. Let h(t) = -14*d(t) - m(t). Find the second derivative of h(j) wrt j. 2058 What is the first derivative of -11108 + 4517 + 1281*y**4 + 5472 wrt y? 5124*y**3 Let t(m) = -2*m - 10. Let h be t(-7). Find the second derivative of 20*u**4 - 21*u**2 + 81*u + 30*u**2 - 8*u**4 - 11*u**h wrt u. 12*u**2 + 18 Let d(m) be the second derivative of 3/5*m**5 + 50 + 0*m**2 + 0*m**3 + 119/12*m**4 + 2*m. Find the third derivative of d(z) wrt z. 72 Let u(x) be the second derivative of 11*x**8/56 + 5*x**5/4 + 157*x**4/12 - 2*x. Find the third derivative of u(g) wrt g. 1320*g**3 + 150 Let c(a) = 27*a**2 - 58*a**2 + 30*a**2 - 5*a - 2. Let d be c(-4). Find the second derivative of 0*b**2 - 27*b - 37*b**5 + 0*b**2 + 0*b**d wrt b. -740*b**3 Let l(q) be the first derivative of 6344*q**3/3 - 9044*q - 8333. What is the first derivative of l(x) wrt x? 12688*x Let k be (-203)/29*(-5)/15. Let d(q) be the third derivative of -5/8*q**4 + 0 + 0*q + k*q**3 + 2*q**2. What is the derivative of d(l) wrt l? -15 Let l(n) be the first derivative of 1982*n**3/3 + 2*n**2 + 80*n + 2051. Find the second derivative of l(x) wrt x. 3964 Let l(f) be the third derivative of 19*f**8/168 + 107*f**4/8 + f**3/6 - 398*f**2. What is the second derivative of l(v) wrt v? 760*v**3 Let z(f) be the second derivative of -73*f + 0 - 73/6*f**4 - 1/3*f**3 - 12*f**2. Find the second derivative of z(h) wrt h. -292 Let j = 213 - 209. What is the second derivative of 0*w**2 + 16*w**j + 0*w**2 - 2*w**2 + 0*w**2 + 213*w wrt w? 192*w**2 - 4 Let f = 491 + -487. Differentiate f*c - 11 + 36 - 10*c**2 - 10*c**2 + 11*c**2 + 15 with respect to c. -18*c + 4 Suppose 0 = 42*f - 52*f. Find the second derivative of 5*t**4 - 92*t + 8*t**5 + f*t**4 + 147*t wrt t. 160*t**3 + 60*t**2 Suppose -4*p + 28 = -12. Suppose p*x - 15*x = -30. What is the third derivative of -21*c**6 + 13*c**x - 7*c**6 + 10*c**2 wrt c? -1800*c**3 Suppose -169*m + 156*m = 0. Let w(s) be the second derivative of m*s**2 + 0*s**3 - 5/4*s**4 + 24*s + 0 - 3/5*s**5. Find the third derivative of w(p) wrt p. -72 What is the first derivative of -2388*o - 513*o + 2379 + 267 - 1246*o + 193 wrt o? -4147 What is the third derivative of 4*c**2 + 1999*c**3 - 234*c + 14 + 3222*c**3 + 263*c wrt c? 31326 Let y = -104 - -110. Find the second derivative of -92 - 57*l - 3*l**2 + 262 - y*l**3 - 84 - 85 wrt l. -36*l - 6 Suppose -25 = -z + 3*y, -2*z - 4*y = -9*y - 46. Suppose -2*w - 3 + z = 0. Find the third derivative of -14*i**2 + 0*i**6 + 4*i**6 - w*i**6 wrt i. -120*i**3 What is the third derivative of 5058*p**2 + 1324*p**6 - 21240*p**3 + 21240*p**3 wrt p? 158880*p**3 Let l(k) be the second derivative of 0*k**2 - 67/3*k**3 + 1/12*k**4 - 43 - 19/30*k**6 + 0*k**5 + 3*k. What is the second derivative of l(s) wrt s? -228*s**2 + 2 Let g(p) = p**2 + p. Suppose -45*x + 41*x = -4. Let a(u) = 106*u**2 + 70*u. Let b(j) = x*a(j) - 4*g(j). What is the second derivative of b(f) wrt f? 204 Let c(y) be the second derivative of -y**7/42 + 709*y**6/15 - 65*y**4/6 - 1068*y. What is the third derivative of c(d) wrt d? -60*d**2 + 34032*d Let f be 2/(-6) + (-364)/(-84). Let j(o) = -2*o**2 + o. Let s(k) = 24*k**2 + 8*k - 3. Let z(u) = f*j(u) + s(u). Find the second derivative of z(w) wrt w. 32 Let b(k) be the first derivative of -177*k**5 + 624*k - 27. What is the derivative of b(w) wrt w? -3540*w**3 Let r(g) be the second derivative of 23/6*g**4 - 26*g + 1/2*g**3 + 4 - 12*g**2. What is the second derivative of r(w) wrt w? 92 Let j(n) be the second derivative of 2*n**6/15 + n**5/20 + 5*n**4/4 + n**3/2 + 125*n**2/2 - 4222*n. Find the second derivative of j(d) wrt d. 48*d**2 + 6*d + 30 Let m(h) be the third derivative of -7771*h**5/60 + 1873*h**4/6 - 3406*h**2. Find the second derivative of m(c) wrt c. -15542 Find the second derivative of 11630062*l**2 - 1858*l**5 + 116*l - 11630062*l**2 wrt l. -37160*l**3 Find the third derivative of 493*g**3 + 4742*g**2 + 1046*g**3 - 3423*g**2 wrt g. 9234 Let i(f) be the second derivative of -1241*f**7/21 + 1459*f**3/6 - 532*f. Find the second derivative of i(n) wrt n. -49640*n**3 Differentiate 828*r**4 + 830*r**4 - 4244 - 1657*r**4 - r**3 + 1239*r**2 wrt r. 4*r**3 - 3*r**2 + 2478*r Let c(f) be the third derivative of 61*f**5/5 + 89*f**4/4 + 339*f**2. Find the second derivative of c(m) wrt m. 1464 Let l(r) = -2200*r - 935. Let m(p) = -169*p - 72. Let h(k) = 14*k + 3. Let b be h(0). Let a(s) = b*l(s) - 40*m(s). Find the first derivative of a(z) wrt z. 160 Let z(u) = u**3 - 11*u**2 + 23*u. Let b be z(9). Find the third derivative of b*t**2 + 58*t**3 - 11*t**4 - t + 9*t**4 - 66*t**3 wrt t. -48*t - 48 Suppose 5*u + 16 - 41 = 0, -2*u - 47 = -3*n. Differentiate 49*j**2 + n + 0*j**3 + 11*j**2 + 40 + 8*j**2 + j**3 with respect to j. 3*j**2 + 136*j Let a be (25/(-50))/(-1 + (-102)/(-100)). Let h be 15/a - -1 - 13/(-5). What is the second derivative of 13*j**h + j**2 + 3*j**3 - j**2 - 30*j wrt j? 96*j Let k(l) be the first derivative of -1606*l**5/5 + l**3/3 + 51*l**2/2 - 26*l - 1367. What is the second derivative of k(j) wrt j? -19272*j**2 + 2 Suppose -2*u = 4, u = a - u - 6. Suppose -2*d + a = -2. What is the second derivative of -9*b - 8*b**2 + 6*b**d + 6*b**2 wrt b? 8 What is the third derivative of 1260*m - 1260*m + 2666*m**2 + 3154*m**3 wrt m? 18924 Suppose -4*x - 98 = -5*x + 4*j, -432 = -4*x - 4*j. Suppose 0 = 4*h + 5*c - 52, -4*h = h - 4*c - x. What is the first derivative of -9*o - 26*o + h*o - 9 wrt o? -17 Let v = 56 + -56. Let c be (6 - 9 - -3) + 34 + v. Find the third derivative of 48*d**4 + 18*d**2 - 26*d**4 - c*d**4 - 27*d**4 wrt d. -936*d Suppose 112 = c - 2*x, 2*x - 123 = -2*c + 89. What is the third derivative of 135*i**5 - c*i**5 + 21*i**2 + i**3 - 59*i**2 wrt i? 1620*i**2 + 6 Let i(u) be the second derivative of 3*u + u**4 + 0*u**2 + 8 + 11/5*u**5 - 1/2*u**3. Find the third derivative of i(s) wrt s. 264 Let l(r) be the third derivative of 23*r**7/70 + r**6/120 + 425*r**3/2 + 356*r**2. Find the first derivative of l(h) wrt h. 276*h**3 + 3*h**2 Let h(l) = -1964*l**2 + 8*l + 18. Let i(c) = -9815*c**2 + 41*c + 90. Let v(r) = 11*h(r) - 2*i(r). What is the second derivative of v(f) wrt f? -3948 Let x be 1/3*(23 - 11). Find the second derivative of -7*w**x + 29*w**3 + 23 + 15*w**3 - 43*w**3 - 2*w - 24*w**4 wrt w. -372*w**2 + 6*w Find the second derivative of -1743*g**2 + 87*g - 1306*g**2 - 15 - 4913*g**2 wrt g. -15924 Differentiate 337910*f - 745 - 341894*f - 459 - 788 - 1546 wrt f. -3984 Let w be (2 + (-6 - 1))*(-2)/5. Find the second derivative of 5*t**2 - 17*t**w - 15*t**3 + 12*t**2 - 4*t**5 - 9*t - 5 wrt t. -80*t**3 - 90*t Let a be (-7)/14 - 50/(-4). Suppose 4*q - a = -4*p, p + 4*p - 3*q = 7. What is the third derivative of 12*r**p - 6*r**4 + 3*r**4 - 3*r**2 wrt r? -72*r Let w(d) = -2542*d**3 + 3051*d**2 - 24*d - 6. Let h(a) = 2544*a**3 - 3051*a**2 + 2
{ "pile_set_name": "DM Mathematics" }
2 + (-4*t**2 - 2*t**2 + 5*t**2)*(2*t - 4*t**2 - 2*t). 5*t**4 + 693*t**2 Expand (b**2 + 3*b**2 - 5*b**2)*(3*b - 3*b + 2*b) - 27*b**3 - 293*b**2 + 293*b**2 + (2*b - b + b)*(b**2 - 2*b + 2*b) + 5*b**3 - b**3 + b**3. -22*b**3 Expand -w**5 + 7*w**5 + 0*w**5 + (3*w - 6*w + w)*(2*w**3 - 2*w**3 - w**4) - 4*w**5 + 1869*w + 13 - 1869*w + (w**2 - 3*w**2 + 0*w**2)*(-3*w + 5*w**3 + 3*w). -6*w**5 + 13 Expand -551173 + 551173 + 2026*z + (3*z - 5*z + 0*z)*(1 - 2 + 2) + 0 + z + 0. 2025*z Expand o + 4 - 4 + (5*o - 5*o - o)*(-2 + 2 + 1) + 1603*o - 24798 + 24798 + (-4*o + 3*o - o)*(0 + 2 - 3). 1605*o Expand 76*p**4 - 76*p**4 - 2*p**2 - 1 - 2*p**5 + p**5 - 4*p**5 + 2*p**5 + 2708*p - 2708*p + 94*p**5 + (0*p + 2*p**2 + 0*p)*(-2*p**2 + 3*p**3 + 2*p**2). 97*p**5 - 2*p**2 - 1 Expand (-3*q**2 + 0*q + 0*q)*(2*q - 282*q - 310 + 281*q - 2*q**2). 6*q**4 - 3*q**3 + 930*q**2 Expand h**2 - 3*h**2 + h**2 + (0*h - h + 0*h)*(8776*h + 11076*h - 16803*h). -3050*h**2 Expand (r - 4*r + r)*(-2*r + 2*r - r) + 10 + 106*r**2 + 35*r - 130*r + 97*r. 108*r**2 + 2*r + 10 Expand (328*x + 361*x - 824*x)*(x**3 - x + x). -135*x**4 Expand (1 + 1 + 0)*(-11*h**2 - 12 + 12) - 2*h - 11 + 21 - 12 + 8*h**2. -14*h**2 - 2*h - 2 Expand -19*c + 2*c**2 + 19*c + (-4*c + 3*c + 4*c)*(30*c + 6*c - 7*c)*(1 - 1 + 3) - 1 + 1 + 2*c**2 - 7 - 3*c**2 + 7. 262*c**2 Expand (n + 18*n + 0*n)*((-1 - 2 + 4)*(24 - 7 + 28) - 2 + 0 + 3). 874*n Expand ((-2*y**2 + y**2 - y**2)*(y + 7*y - 4*y) + 4*y**3 - 4*y**3 - y**3)*(-36*y**2 - 2*y**2 + 13*y**2). 225*y**5 Expand g + 3*g - 6*g + (-g - 3*g + 2*g)*(0 - 1 + 3) - 2*g + g + 0*g + 756*g - 2983 + 2983. 749*g Expand (-20*f - 72*f + 31*f)*(-1 - 1 + 5)*((-f - 2*f + f)*(2*f + f - f) - 2*f**2 + 6*f**2 - 2*f**2). 366*f**3 Expand ((3 - 4 - 1)*(3*p + 0*p - p) + 0*p - p + 0*p + (0*p + p + p)*(1 - 3 + 0) - 3*p + 0*p + 2*p)*(4 - 1 - 1)*(-55*p - 3*p - 22*p)*(-3*p**2 - p + p). -4800*p**4 Expand (-2*b**3 + 2 + b - b)*(-36 - 30 + 37)*((0 - 2*b + 0)*(0 + 2 - 6) + 5*b + b - 2*b). 696*b**4 - 696*b Expand (-4 + 6 - 4)*(-5 - 1 + 3)*(129070 - 129070 + 29*c). 174*c Expand (0*t**4 - 2*t**5 + 0*t**4)*(1019 - 1701 - 1063) + 4*t**4 - 4*t**4 + 2*t**5 + (4*t + 0*t - 2*t)*(-3*t**4 + 4*t**4 - 3*t**4) + t - t - 2*t**5. 3486*t**5 Expand -2*y - 10*y**2 + 6*y + 4*y**2 + 20*y + 3*y**2 - 20*y + (3 + 2*y - 3)*(2*y - 4 + 4) - y**2 - 3*y + 3*y + y**2 + y**2 + 0*y**2. 2*y**2 + 4*y Expand 2 - 2 + f + (-3*f + 4*f - 3*f)*(1 - 1 + 1) - 16 - 5*f + 2*f + 11 + (-1 + 2 - 3)*(4*f + 3*f - 4*f) - 4*f + 2*f + f - 4*f + f + f. -13*f - 5 Expand (-8*a + a + 0*a + (9 + a - 9)*(0 + 3 + 7))*((-a + 0 + 0)*(0 - 3 + 2) + 0*a + a + 0*a) + 4*a**2 - 2*a**2 + a**2. 9*a**2 Expand (3 - 8 - 1)*(14 - 39 + 49)*(8*w + 2*w + 2*w)*(3*w - w + 0*w)*(-1 + 1 - 1 - w). 3456*w**3 + 3456*w**2 Expand (-1 - 1 + 1)*(-1 + 1 - 1)*(1 + 1 + 0)*(551 - 21*q**3 - 547 - 31*q**3). -104*q**3 + 8 Expand -97*g + 37*g**5 + 97*g + (-2*g - 4*g + 5*g)*(g - g - g**4) - 15*g + 15*g - 17*g**5. 21*g**5 Expand (0*q**2 + 4*q**2 + 0*q**2)*(-3*q + 4*q - 3*q) - 5*q**2 - 3*q**3 + 5*q**2 + (q**3 - 2*q**3 + 3*q**3)*(-1 - 2 + 1)*(-6 - 35 - 5). 173*q**3 Expand (0 - 5*x**4 + 0)*(3 + 106*x + 6*x - 7*x). -525*x**5 - 15*x**4 Expand 3*f**2 + f**2 + 0*f**2 + 3*f**2 + f**2 - f**2 + (f + 0*f + 0*f)*(0*f - f + 2*f) - 40645 + 40645 - 221*f**2. -213*f**2 Expand (330*u - 1075*u - 200*u)*(5*u - 2*u - 5*u). 1890*u**2 Expand (-3*h - 414 + 414)*(-23 - 19*h + 23)*(3*h - h - 3*h). -57*h**3 Expand 1 + 2*a**2 - 1 + (2203*a + 2431*a - 4399*a)*(0*a + 3*a - 4*a + (-5 + 4 - 1)*(a + 1 - 1) - 9 + a + 9). -468*a**2 Expand (-2 + 17 + 1)*(3*r**3 - r**3 - 4*r**3) + (148 - 148 - 14*r)*(5*r**2 + 3*r**2 - r**2). -130*r**3 Expand (2*l**3 - 1 - 3*l**3 + 3*l**3)*(-29 - 158 - 408)*(5*l - 2*l - 5*l). 2380*l**4 - 1190*l Expand (-11 + 13 + 8)*(0*p + 17*p + 11*p)*(-2 - 3 + 1)*(0 + 5 - 3). -2240*p Expand (-2*i**3 + 0*i**3 + 3*i**3)*(-2*i + i + 0*i) + (7882*i**3 - 3353*i**3 + 6409*i**3)*(-2*i + i + 2*i). 10937*i**4 Expand m**2 + 2 - 2 + 2*m**2 - m + m + (4*m + 0*m - 2*m)*(-2*m + 5*m - 2*m) + 3*m**2 + 0*m**2 - 5*m**2 + 415*m**2 + 1493 - 1493. 418*m**2 Expand -2 + 2 + 5*r + (4 - 4 + 2)*(3*r - 2*r + 0*r) - 6*r + 2*r + r - 383 + 14*r + 383. 18*r Expand (0*u + u + 0*u)*(-3 + 2415161*u - 2280158*u + 3). 135003*u**2 Expand (-6*b + 5*b + 20*b)*(-2*b**4 + 3*b + 4*b - 2*b). -38*b**5 + 95*b**2 Expand (0 - 2 + 1)*(21916 - 21837 + c + 2*c). -3*c - 79 Expand (-25*k**2 - 182*k + 182*k)*(6*k - 5*k - 2*k) + 8*k**3 - 19*k**3 - 20*k**3 - k**3 + 2*k**3 - 2*k**3. -7*k**3 Expand -14 + 14 + 3*f**4 + (-f**2 + 2*f**2 + 0*f**2)*(22*f**2 + 18*f**2 + 4*f**2). 47*f**4 Expand -26199 + 506*o**3 + 26199 + (2*o + 2*o - 2*o)*(-2 - 3*o**2 + 2). 500*o**3 Expand -4*y**2 + y**2 + 5*y**2 + (-2*y + 0*y + y)*(2*y + 0*y - 4*y) + 6*y**2 - 2*y**2 - 3*y**2 + (-14*y - 18*y - 30*y)*(-12 + 3 + 2*y - 16). -119*y**2 + 1550*y Expand (-k - k + 3*k)*(-2 + 5 - 1)*(0 + k + 0)*(-124960 + 1540*k**3 + 124960). 3080*k**5 Expand (-3448*r - 2 + 1 + 1241*r)*(-1 + 1 - 3). 6621*r + 3 Expand (-6377*r + 313 + 6389*r - 119)*(5 - 2*r - 5). -24*r**2 - 388*r Expand (-12 - 16 - 73)*(-a + a + 2*a). -202*a Expand (3*h + 0*h - 5*h)*(198*h**2 - h - 440*h**2 + 216*h**2). 52*h**3 + 2*h**2 Expand (498 - 210*t - 498)*(-1 + 0 + 3) + 363 + 49*t - 363. -371*t Expand (3 - 2 + 0 + 0 + 3 - 2 + 2 - 4 + 3 + 0 - 2 + 0 - 1 - 2 + 4 + (-4 + 0 + 5)*(-1 + 1 - 1) - 3 + 0 + 1 - 4 - 1 + 4)*(5 - 5 - i)*(2 + 2 - 3)*(61 - 207 - 70). -432*i Expand (t + 0*t + 0*t)*(4*t**3 + 2*t**3 - 3*t**3) + 380*t**4 + 140*t**2 + 393*t**4 - 780*t**4. -4*t**4 + 140*t**2 Expand (-l - 3*l + 5*l)*(13 + 20 - 11)*(71 - 31 - 32). 176*l Expand (4 + 3 - 4)*(-8*z + 1 - 2659*z**2 + 1339*z**2 - 3*z**3 + 1333*z**2)*(2 - 2 - 1). 9*z**3 - 39*z**2 + 24*z - 3 Expand (-2 - 1 + 7)*(698*q**2 + 492*q**2 - 77*q**2). 4452*q**2 Expand y - 3 + 3 + 0 + 0 - 2*y + (-2 + 2 - 2*y)*(-2 + 4 + 0) - 3068852 + 3068852 + 1253*y - 3*y - 5*y + 5*y. 1245*y Expand (-22 + 0 - 1)*(4 + 2 - 2)*(-39*w - 28*w + 37*w). 2760*w Expand -3*g**2 - g**5 + 3*g**2 + 2*g - 2*g - 2*g**5 + (-246*g**4 - 27*g**4 + 23*g**4)*(-1 - 2*g + 1). 497*g**5 Expand (-6 - 3*c**3 + 6 + 8 - 2*c**2)*(13*c + 15*c - 19*c)*(-2 + 5 + 6). -243*c**4 - 162*c**3 + 648*c Expand (0 - 3 + 6)*(0*q**2 + q**2 + 2*q**2) + (3*q**2 + 3*q**2 - 4*q**2)*(-25 - 29 - 5) - 56*q + 56*q + 7*q**2. -102*q**2 Expand (104 - 104 + 40*v**2)*(-3 + 11 + 1 - 8 + 2105*v - 1). 84200*v**3 Expand (2*z - 1 - 3 + 3)*(2 - 3*z + 0 + 0 + 2*z + 2 - 2 + (z + z + 0*z)*(1 + 3 - 6) - 117 + 117 - 26*z). -62*z**2 + 35*z - 2 Expand (4*v + 7*v + 4*v + (10 - 3 - 4)*(5*v - v - 5*v))*(11*v**2 - 2*v**2 - v**2). 96*v**3 Expand (-3*d**2 - d**2 - d**2)*(2*d**2 + 2*d**2 - 6*d**2) + (-4*d**3 + 2*d**3 + 0*d**3)*(0*d + 0*d - 7*d). 24*d**4 Expand (-86*i + 34*i - 37*i)*(-4*i**3 + 5*i**3 + 5*i**3) + (i**4 - 4*i**4 + 2*i**4)*(2 - 2 - 1). -533*i**4 Expand (86*v**2 - 88*v + 88*v)*(4*v**2 - 2*v**2 - v**2)*(-3 + 2 + 3)*(-4 - 62 - 14)*(-3 - 2*v + 3). 27520*v**5 Expand h + 3*h - 2*h + (97 + 4 - 9)*(3 + 2*h + 2*h - 3*h). 94*h + 276 Expand (2 + 0 - 1)*(4*d**3 + 2*d**3 - 2*d**3)*(9*d + 15 - 15 + d + 0*d + 0*d + (1 - 2*d - 1)*(-4 + 2 + 0) - 2*d + 2*d + 2*d) - 2*d**4 + 0*d + 0*d. 62*d**4 Expand (8*t**5 + 20*t**3 + 2*t - 20*t**3)*((-3 + 3 + 1)*(-3 + 4 + 1) + (-6 + 0 + 3)*(-54 - 14 - 3)). 1720*t**5 + 430*t Expand (2 - 2 - 2*s)*(-466 - 467 + 936 - 669*s). 1338*s**2 - 6*s Expand (-14 + 8*l**2 + 2*l**2 - 8*l**2)*(28*l - l + 5*l). 64*l**3 - 448*l Expand 5*l - 5*l + 2 + l + (5 - 3 + 1 + (1 - 4 + 8)*(-3 + 0 + 1) - 2 + 5 - 1)*(4 + 1 + 1)*(-7*l + 16 - 16). 211*l + 2 Expand (66260 - 66260 + 708*k)*(-2 - 8 - 6). -11328*k Expand (144 + 83*j - 144)*(4*j**2 - 3*j**2 - 3*j**2) - 11*j**3 + 14*j - 14*j. -177*j**3 Expand (5 - 2 + 1)*((6*u + 6 - 6)*(-2 - 3 + 7) + 100*u - 238*u + 2 + 107*u). -76*u + 8 Expand 302 - 607 + 302 + 10*s + (-1 + 0 + 3)*(-2*s - s + 2*s). 8*s - 3 Expand (6 - 10 - 7)*(-v**3 + 2*v**3 - 3*v**3 + 3*v**3 - 3*v**3 + 2*v**3 + (v**2 + 3 - 3)*(0 + 2*v + 0) + v**2 + v**3 - v**2) - v**2 + v**3 + v**2. -32*v**3 Expand -12*u**5 - 3*u**4 + 3*u**4 + (-2*u**2 - 3*u**2 + 10*u**2)*((4*u - u - 4*u)*(7*u**2 + u**2 + 5*u**2) + 2*u**3 - 5 + 5) - 2*u**4 + 2*u**4 + 2*u**5. -65*u**5 Expand (2 - 1 + 2)*(0*r - r + 2*r) + (-7*r - r + 6*r)*(1 - 2 + 0) - 8*r + 0 + 0. -3*r Expand -14150*q**2 + 2121*q - 2153*q - 112 + 14147*
{ "pile_set_name": "DM Mathematics" }
*2 + 21*s**2 + (3*s + 0 + 0)*(s**3 + 3 - 3) to o*s**2 + a*s**4 + v + j*s + q*s**3 and give o. -5 Rearrange -501*n - 529*n - 121*n + 193*n - 3*n**2 - 474*n to d*n**2 + z*n + i and give z. -1432 Rearrange -69*x**2 + 33*x**2 - 84*x**2 + x**2 + 2*x**2 - 2*x**2 + (-x**2 + x**2 - x**2)*(1 + 0 - 3) + 5*x - 5*x + 3*x**2 to g*x + a*x**2 + b and give b. 0 Rearrange 3*j - 28*j + 102*j - 13 - 9*j + 15*j + 2*j**2 to o + w*j + z*j**2 and give w. 83 Express (0*p**3 + 4*p**3 - 6*p**3)*(-1436*p - 1664 - 11661*p + 557 + 554 + 556) as q*p + l*p**3 + d*p**4 + s*p**2 + n and give l. -6 Express -6*t**2 + 2284*t**3 - 2*t**2 - 2282*t**3 - 59*t as c*t**2 + o + x*t**3 + d*t and give c. -8 Rearrange 257*r**4 + 0 - 130*r**4 - 133*r**4 + 10*r**3 - 2 + 2*r to s*r**3 + n*r + q + m*r**4 + j*r**2 and give q. -2 Rearrange -358 + 360 + 53*t + 5*t**3 - 11*t**4 - 3*t**3 - 2*t**2 + 3*t**4 to d*t**2 + u + q*t**3 + w*t**4 + f*t and give d. -2 Express -195*y**2 + 43*y**2 - 2*y + 153*y**2 - 47 in the form c*y + v + g*y**2 and give g. 1 Express -23*h**2 - 11*h**2 - 33*h + 28*h**2 - 18*h**2 as j*h**2 + y + o*h and give y. 0 Express (-3*y**2 - 2*y**2 + 6*y**2)*(-2*y**2 + 4*y - 4*y) + 3734*y**4 - 2042*y**4 - 3 - 2*y**2 - 1934*y**4 as z*y**3 + v*y + m*y**2 + c*y**4 + h and give h. -3 Rearrange (-k + 5*k - 5*k)*(-65*k - 17801 + 17801)*((2*k - k + 0*k)*(-2 + 0 + 0) + (-10*k + 3*k - 6*k)*(6 - 3 - 2)) to n + m*k**2 + d*k + i*k**3 and give i. -975 Rearrange (0 + 2*x - 3 - 9)*(15*x - 322*x - 142*x) + 3*x - 3*x + 3*x**2 + (-3*x + 6*x - 2*x)*(x - 2*x + 3*x) to the form d*x**2 + r + i*x and give i. 5388 Rearrange 809*o**2 - 43*o - 42*o - 25*o + 112*o - o**3 to v*o**3 + j*o**2 + b*o + w and give b. 2 Rearrange -229*y**3 + 6*y**4 - 9*y**4 - 13*y**2 + 228*y**3 - 2 to the form w*y + v*y**3 + i + z*y**4 + p*y**2 and give p. -13 Express (-1 - z - z + 0)*(53109*z + 421362618 - 421362618) in the form o*z + y + t*z**2 and give o. -53109 Express 56*q - 29*q + 2841*q**2 - 21356*q**2 - 27*q in the form p + t*q + r*q**2 and give r. -18515 Rearrange 2087*i**3 - 1041*i**3 - 2*i - 2 - 432*i**2 - 1045*i**3 to s*i + x*i**2 + t + v*i**3 and give x. -432 Rearrange 24*h + 21*h - 12*h + (181 - 22 + 124)*(6 - 3 - 2)*(0*h + 3*h - 5*h) to u*h + j and give u. -533 Rearrange ((-4 + 5 - 2)*(-8*j - 9*j - 9*j) - j + 2 - 3*j + j)*(-j - 4 + 4) to the form y*j**2 + x + r*j and give x. 0 Rearrange 39*a**2 - 230*a - 6*a**2 - 3*a**2 - 25*a**2 to n*a**2 + f + v*a and give v. -230 Rearrange (-33 + 1 - 63)*(-96 - 123*x + 96) to o + g*x and give g. 11685 Express -8*x**3 + 26739*x - 3 + 5*x**3 + 2*x**2 + 5*x**4 + 2*x**2 - 26752*x in the form s + y*x**3 + v*x**2 + d*x**4 + a*x and give v. 4 Express 88 - 165 + 12*s**3 - s**4 + 35*s + 74 in the form w*s + n*s**4 + a*s**3 + p + y*s**2 and give w. 35 Express 137*b + 825*b + 502*b in the form t + i*b and give i. 1464 Rearrange (2*c - 2 + 2)*(5 - 3 + 0 + (5 - 2 - 2)*(-1 + 0 + 0) + 1 + 1 + 0 + 1 - 2 + 2 + (-4 + 1 + 0)*(5 - 3 + 0)*(-113 - 700 + 13)) to k + n*c and give n. 9608 Express (k + 0*k - 3*k)*(0*k + 0*k + 2*k)*((-k + 3*k - 4*k)*(360 + 346 - 427) - 2*k + 4*k - k) as f*k**3 + h*k**2 + g + p*k and give f. 2228 Express 4*i**2 - 33 - 5*i**2 + i**3 - 8 - 17 - 39 as b*i**3 + k + s*i**2 + q*i and give b. 1 Rearrange 1905*k - 274*k - 178*k + 1489*k - 123*k to n*k + f and give f. 0 Rearrange -23269444*d - d**2 + 23268855*d - d**2 - 2*d**3 + 1 to y*d + u*d**3 + k*d**2 + b and give k. -2 Express (-y**2 - 5*y**2 + 4*y**2 + (-1 - 1 + 4)*(-y**2 - 2*y**2 + 2*y**2) - y**2 + 7 - 7)*(53*y + 14*y + 31*y) in the form p + g*y**3 + t*y**2 + s*y and give g. -490 Express (-5*f + 5*f + 2*f**2)*(2 + 26 - 2) + (-2*f + 6*f - f)*(f + f - 4*f) as d + l*f + w*f**2 and give w. 46 Express -201*f**2 + 874*f**2 + 2831*f**2 - f - 30*f**2 + 0*f as r*f**2 + h + g*f and give r. 3474 Rearrange 94*l**3 - 196*l**3 + 95*l**3 - 83*l**2 - 88*l**2 + 62*l**2 to c + q*l**2 + o*l**3 + w*l and give q. -109 Express 4*z**2 - 5*z**2 + 2*z**2 + (z - 2 + 2)*(3*z + z - 3*z) - 6*z**2 + 18*z**2 + 13*z**2 - 4*z**2 - 2*z + 2*z**2 + 3*z as u*z**2 + p + d*z and give u. 25 Express (22580*t**2 - 1627*t**3 - 22580*t**2)*(-15 - 4 + 3) in the form r*t + d*t**2 + x + l*t**3 and give l. 26032 Express -7515*v + 3415 - 3415 as z*v + w and give z. -7515 Express (i - 1 + 1)*(-133602*i**3 + 12*i - 122*i**2 + 133604*i**3 - 126*i**2) as w*i**2 + s*i**4 + l*i + p*i**3 + r and give w. 12 Express (3*f**2 - 17*f**2 - f**2)*(1 - 2*f**2 - 1) - 1 + 4*f + 7 - 5 - 892*f**4 - 4*f in the form b*f + g + n*f**4 + v*f**3 + u*f**2 and give g. 1 Rearrange -18830*d + 2*d**4 + 9419*d + 7*d**3 - 1 - 2*d**2 + 9412*d to a*d**3 + m*d**2 + u*d + t + n*d**4 and give t. -1 Express ((-5*m + 3*m - m)*(-3 - 1 + 1) + 2*m - m + 0*m)*(65*m**3 - 10*m**3 + 159*m**3) in the form y*m**2 + q*m**4 + d*m + l*m**3 + h and give q. 2140 Rearrange (-3 + 0 + 0 + (-6 + 3 + 1)*(-2 - 4 + 4) + 4 - 1 - 4 - 1 + 3 - 4)*((-5 + 3 + 3)*(6*c - 3*c + 0*c) + 0*c - c + 5*c) to the form x + z*c and give z. -14 Express (-47 - 1 - 198)*(10*t - 5*t + 9*t)*(-t**2 + 0 + 0 - 1) as l*t**3 + x + a*t + b*t**2 and give a. 3444 Express -68*s + 8 + 27*s + 21*s - 573 + 22*s in the form c + f*s and give f. 2 Rearrange 95*y - 249*y + 67*y + 2357 + y**2 + 88*y to the form j*y**2 + i*y + k and give i. 1 Rearrange 4*i**2 - 4*i**2 - i**2 + (2*i - 5*i + i)*(-5*i + 3*i - i) - 1721 + 3444 - 1719 + 146*i**2 + 1 - 3*i**2 - 1 to the form u*i + h*i**2 + t and give h. 148 Express 22*t + 169 + 25*t + 76 - 41*t in the form n*t + s and give n. 6 Express (3*y - 47 + 21 + 28)*(9*y**2 + 4*y**3 - 2 - 9*y**2) in the form x*y**2 + n*y**4 + k*y + z + p*y**3 and give k. -6 Express 6077*m + 12051*m + 58*m as s + q*m and give q. 18186 Rearrange 562*v**2 - 171*v**2 - 147*v**2 - 9*v**3 - 160*v**2 to l*v**3 + q*v**2 + g*v + z and give q. 84 Express 3*h**4 - 50*h**4 + h**3 - 1232 + 48*h**4 as o*h**3 + s + g*h**2 + x*h**4 + q*h and give x. 1 Rearrange 41*o - 2 - 63*o**2 - 7 - 2 + 158*o**2 - 80*o**2 to b*o**2 + v + q*o and give v. -11 Rearrange (23 + 14*v - 23)*(-3 + 3*v + 3)*(8*v + 34 - 34) + 0*v**3 - v**3 - 4*v**3 to q*v + k*v**3 + j + l*v**2 and give k. 331 Express -h + 7*h + h - 20*h - 3*h + 300*h**3 in the form f*h + x*h**2 + i*h**3 + j and give i. 300 Rearrange -42 - p**2 - 3*p**3 - 52 + 2*p**3 + 27*p**4 + 91 to the form y*p**4 + t*p + u*p**3 + n + i*p**2 and give n. -3 Rearrange (24928*w - 138 + 8655*w - 133 - 151 + 422)*(-w**2 - 3*w**2 - w**2) to the form h + c*w**2 + a*w + u*w**3 and give u. -167915 Rearrange -389 - 7846*i**2 - 177*i**2 - 390 + 781 to the form z*i**2 + w*i + m and give z. -8023 Express -8*o + o + 2*o + (12 - 17 - 33)*(7*o + 3*o - 18*o) as b*o + g and give b. 299 Express -9 - 239 - 48*j**2 + 229 in the form o + i*j + r*j**2 and give r. -48 Express -3841*a**2 + 4*a**3 + 0*a**3 + 1293*a**2 + 1299*a**2 + 1307*a**2 in the form z*a + g*a**3 + m*a**2 + d and give m. 58 Rearrange (58388 - 116780 - 4385*r + 58393)*(-1 + 3 - 1)*(1 + 0 + 0) to the form l + v*r and give l. 1 Express -5 + 169*a**3 + 8 + 143*a**3 + 125*a**3 as w*a**3 + z*a + j + g*a**2 and give g. 0 Rearrange (214 - 128 - 159)*(-5 - 4*n**2 + 3 - 14*n**2) to c*n + q*n**2 + h and give h. 146 Rearrange -2 + 40165*d - 20609*d - 21663*d to the form n + t*d and give n. -2 Express -53*x + 3627 - 211*x - 3631 in the form c + p*x and give c. -4 Express 126*p**2 + 3 + 1035*p**2 + 236*p**2 - 3 as b + h*p + j*p**2 and give j. 1397 Express (-3*v - v + 2*v + (-1 + 1 + v)*(3 - 1 - 3) - 2*v - 4*v + 4*v + 2 - 2*v - 2 - 3302 + 3302 + 91*v)*(2 + 2*v - 4 - 12*v) as m + d*v**2 + k*v and give d. -840 Express -m + 158 - 33911*m**4 - 547 + m**2 + 33914*m**4 in the form o*m + x*m**2 + d*m**4 + z*m**3 + v and give v. -389 Express 19*d - 3486 - 10094 - 16*d - 2*d in the form u*d + g and give g. -13580 Express 21 - 11*j**3 + j**3 + 17*j**3 + 0*j**3 as t*j**2 + o*j + s + m*j**3 and give s. 21 Rearrange (-1 + 1 + 2*a)*(16*a**2 - 633*a + 633*a) - 3*a**3 + 3*a**2 - 3*a**2 + 0*a + 4*a**3 + 4*a - 6*a to s + y*a**2 + p*a + g*a**3 and give p. -2 Express (240567 - 240567 - 1285*z + (-3 - 4*z + 3)*(2 - 4 + 3) - 1 - 2*z + 1)*(-2 + 0 + 1) as i*z + q and give i. 1291 Express -92*n + 10 - 59 - 88*n + (n + 2*n - 4*n)*(-1 - 3 + 3) in the form x + t*n and give t. -179 Express -2*p - 5*p**2 + 12*p**3 + 16 + 5*p**2 - 18 + 3*p**4
{ "pile_set_name": "DM Mathematics" }
b = n - 74. Let s be b - (4 - 3)/1. Which is bigger: s or 7/3? 7/3 Suppose 5 = -d, 120 = 3*p - 2*p + 3*d. Let z = -134 + p. Is 18 greater than z? True Suppose 1939*x = 1904*x. Is 91/199 bigger than x? True Let d be (-852)/154 + 244/(-1342). Let p be (1 + -2)/((-2)/(-14)). Is p < d? True Let r = 152 + -104. Let z = 46.94 - r. Let t = -7.06 - z. Is t at most 0? True Let k = 489 - 22. Let g = -894 + k. Is g >= -428? True Let n = -63 + 58. Let z be (-6)/628*n/(-15). Which is greater: 1 or z? 1 Let w(m) = 6*m**2 - 1. Let q be w(-1). Let k = -428/5 + 4698/55. Does k = q? False Let b be (-1058)/(-12) - 56/(-42). Let g be ((-52)/24)/(9 - 758/84). Which is smaller: g or b? b Let l be 0/(-5 + (4 - (-3 - 0))). Is -65/63 bigger than l? False Suppose 2*t + w = 2442 - 769, -4*t + 3337 = 5*w. Let g be t/(-5) + (-4)/10. Let x be (32/g)/(2/6). Which is smaller: x or 4? x Let v = -2916 + 2915. Is v smaller than -26? False Suppose 6 = 3*f - 0. Let s be 9/((-45)/(-250))*(-1)/f. Is -25 > s? False Let x = 542 - 1073/2. Suppose -2*t + 2 = 3*n, -5*t - 3*n - 3 = -8. Which is smaller: x or t? t Let t(i) = -32*i**3 + 3*i**2 - 2*i + 12. Let a be t(2). Which is smaller: -238 or a? -238 Let p = -28028 - -28054.926. Let r = p + -27. Let t = -0.174 - r. Which is smaller: -1 or t? -1 Let v(m) = -7*m**2 + m**3 - 2*m + 43 - 17 - 13. Let q be v(7). Is -125 <= q? True Let t = 187 - 203. Let z be (t/(-40))/((-3)/30) + 4. Which is greater: z or -11/8? z Let q = -137/9 + 283/18. Which is smaller: q or 1/7? 1/7 Let v = 25425 - 17837. Which is smaller: 2/9 or v? 2/9 Let l(c) = c**3 + 10*c**2 - 15*c - 9. Let d be l(-9). Which is smaller: 181 or d? 181 Let a(s) = 14*s + 383. Let r be a(-19). Does 122 = r? False Let y = 26.61 - 27. Let u = 70.39 - 70. Let g = u + y. Is -1/2 smaller than g? True Let o = -0.2 + 0.2. Let z be ((-17)/68)/((-55)/28)*(1 + (24 - 24)). Which is smaller: o or z? o Let c be 2925/195*(-1 - (-12435)/12438). Which is greater: c or 1? 1 Suppose 0 = -24*c + 131 - 107. Which is smaller: 3/562 or c? 3/562 Suppose a = -h - 7, 7*h - 21 = 2*h + 3*a. Is h < -1/23260? False Let h(i) = i - 2. Let d(t) = 39*t + 205. Let f(q) = -d(q) + 4*h(q). Let p be f(-6). Suppose -2*y + 20 = 3*y, 0 = -j - 5*y + 16. Does p = j? False Suppose -472*p = -470*p - 5*x - 13, -5*x - 19 = 4*p. Is 15/1318 at least p? True Let d be 3/45*5*6. Suppose 5*u - 5*r - 400 = 0, 0*r = -d*u - 3*r + 185. Is u equal to 87? False Let s = -44 - -32. Let v be 25/(-5) + 150/s. Is v less than or equal to -17? True Suppose 6*t = 9*t + 135. Let y = 6.8 + 0.2. Let p = -8 + y. Is p less than t? False Let o(r) = 2*r**3 + 10*r**2 + 7*r - 21. Let m be o(-5). Let y = 45 - -11. Let d = m + y. Which is bigger: -5/4 or d? d Let h = -2225 + 2224.7. Let f = 9.3 - 27.1. Let i = -2.8 - f. Which is smaller: i or h? h Suppose -64*y + 47*y = -6868. Let z = y - 402. Which is smaller: z or -12/11? -12/11 Let x = 462/113 - -284238/791. Which is greater: 363 or x? x Let h = -137 - -141. Suppose 4*l = -3*f + h + 61, -2*l - 116 = -4*f. Is 28 bigger than f? True Suppose -1248*l + 49218 = -1326*l. Which is smaller: -630 or l? l Let o be -2*1/18 - (-329230)/495. Which is smaller: 666 or o? o Suppose -3*p + 110 = 3*y + y, -p = 4*y - 114. Suppose w + a = -a - 14, 0 = 2*w + 5*a + y. Let k = -80 + 81. Which is smaller: w or k? w Let d be (-2)/48 - (-78217)/(-17544). Is -36.3 smaller than d? True Let d(x) = x**3 - 8*x**2 + 8*x - 3. Let y be d(3). Are y and -9 non-equal? True Let w = 1.2472 - 1.2572. Let h = 0.06 + 7.94. Which is greater: h or w? h Let s = 1393/18126 - -1/477. Let z = 157/1748 - s. Let o = -6783 + 6782. Is o at least z? False Let p be 0/(-2*(-2 + 3)). Suppose -7*t + 5*t = p. Let v be (-30)/4*2/12. Which is smaller: v or t? v Suppose 232*o - 108*o = 105*o. Let k(w) = 7*w**2 + 1. Let s be k(1). Is o smaller than s? True Let l be 34/12 + (-15)/(-90). Suppose 0 = -5*n + 20, -5*n = 4*o - l*o - 36. Which is smaller: 63/4 or o? 63/4 Suppose 2*g + 2 = -4*b - 6, 4*b = 5*g + 20. Suppose 15 = -3*t - 2*t. Let s be (-8)/(t*(-4)/(-6)). Is b at most as big as s? True Let f = -969/5 - -192. Let i(r) = -5*r**2 - 4*r + 1. Let h be i(-1). Suppose h = -2*z - 0 - 4. Which is greater: f or z? f Suppose -4*h - 9 = -3*v, -7*h + 9*h + 3 = v. Suppose -3*m + t + 5 = 0, 4*m - 5*m - 2*t = v. Is -1/288 at least m? False Let b be (69/(-2))/(7/(-63)*18/12). Is b greater than or equal to 182? True Let z be 1/1 + 3 - 2. Let o(y) = 7*y - 81. Let d = 840 - 828. Let j be o(d). Is j < z? False Let k = 87164 + -86789.99. Let o = k - 374. Is o less than 15? True Suppose -703 = -5*h + 2*i, 2*i - i = 4*h - 560. Suppose -h = 5*x - 0*g - g, 0 = x + 4*g + 32. Let q = 29 + x. Are q and -4/19 non-equal? True Let n(f) = -12*f + 166. Let a be n(0). Let l = 89 - a. Which is greater: l or -78? l Let z be (401/5)/(2 + -1). Suppose -6935 + 50 = -85*c. Let k = c - z. Which is greater: 1 or k? 1 Let j be (1 - 1 - -2)*-70. Let t = j - -238. Let h(y) = -167*y**2 + 2676*y + 35. Let a be h(16). Are a and t nonequal? True Let n = -20784 + 20783. Which is smaller: -0.02 or n? n Let h = 2008 + -2007. Is 3/2743 >= h? False Suppose -22*g + 25*g + 6 = 0. Let d be (-7 - g) + 1748/(-23). Is -80 < d? False Let q = 19 - 16. Let t be q/(36/76) + 1. Let h(r) = -r**3 + 6*r**2 + 6. Let x be h(6). Is x greater than t? False Suppose -3*u + 6885 = -3*o + 390, 4*u + 3*o - 8695 = 0. Suppose -u + 1105 = 5*n. Is n at least as big as -212? False Let t be 12/(-20) - (324190/(-175))/(-17). Which is bigger: -111 or t? t Let m = -258 + 294. Let v = -183 + 145.7. Let r = v + m. Which is smaller: -2 or r? -2 Let n(k) = 188*k + 251. Let p be n(-20). Is -3510 > p? False Let b be (-2412)/(-243) + -10 - 174904/27. Is b greater than -6478? False Let b = 13.2921 + 0.0179. Which is smaller: b or 4? 4 Let j(h) = -h**3 + h**2 + 174*h - 42. Let f be j(0). Is f at most as big as 0.12? True Let q = 1475 + -767. Which is bigger: 715 or q? 715 Suppose -79*c - 3 = -82*c. Let y be 225/(-18) + c/(-2). Which is greater: 0 or y? 0 Let r = 193 + -192.961. Let s = 10.961 + r. Which is bigger: s or -2/19? s Let v be (-72)/84024*(-2)/(2/57). Which is smaller: 1 or v? v Let l = -381 - -596. Let q = 163 - l. Is -49 not equal to q? True Suppose 401*u = 2*h + 397*u - 4448, 3*h = -2*u + 6720. Which is smaller: 6710/3 or h? h Suppose 2*f - 223 = 513. Suppose -2*i = f + 368. Let h be (5/(-20))/((-20)/i). Are h and -4 non-equal? True Let i = -1.97 - 0.03. Let y = 1.9 + i. Suppose 1708*q - 1703*q = -5*u - 15, 5*q = -4*u - 12. Which is smaller: u or y? u Let m be 156/(-195)*(-1 - 44). Suppose -12*d - m - 108 = 0. Is -5/4 at most d? False Suppose 5*g = -5*p + 20, g + p = -p + 9. Let b be ((-51)/(-6) - -1)/g. Suppose -5*w + 0*w - 2*z - 10 = 0, 0 = -w + 3*z + 15. Is w greater than b? True Let y be 1 + 1*182 - (-59 - -62). Let t = -427 + y. Is -247 at most t? True Let z be ((-8)/20)/((-161)/115). Which is greater: 446 or z? 446 Let q = 313.82 - 290.2. Let f = -26.8 + q. Let t = -0.02 + f. Which is smaller: t or 0? t Let y = -550.74 + 110.74. Is 11 >= y? True Let z(g) = g**3 - 35*g**2 + 69*g - 606. Let a be z(33). Is a at least -1? False Let f(x) = x**3 - 16*x**2 + 7*x + 129. Let p be f(15). Suppose 6*n - p*n = -3*h - 150, -3*n = -h - 156. Which is smaller: n or 55? n Let m(t) = -14*t + 46. Let c be m(3). Suppose 0*k - c*k - 4 = 0, 3*v - 3*k = 0. Are 5/21 and v non-equal? True Let g(r) = 3*r**2 + 4*r + 2. Let k be g(-1). Suppose 5*h + 5*o + 20 = 0, -2 = 5*h - o - 0. Let b(f) = -3*f + 1. Let i be b(h). Which is greater: i or k? i Let y(a) = -2*a**3 + 63*a**2 - 22*a - 73. Let p be y(31). Let z = p + -202. Which is greater: 3/8 or z? z Let a be ((-62092)/380)/(9/(-5)). Are a and 91 unequal? True Let o = 532 + -317. Let h = o - 247. Is -32 at most h? True Let z = -60.27 + -0.73. Let b = -93 - z. Let k = b - -31. Is k smaller than 1? True Let g = 3913 - 1943. Are g and 1971 unequal? True Let r = -6222 + 5638. Which is greater: -1167/2 or r? -1167/2 Let d be 136/28 - 1/(-7). Suppose 0 = d*f + 274 + 586. Is f < -172? False Let w be 9*6/9*(-127 + -2). Which is smaller: -779 or w? -779 Suppose -193*j = -265*j. Which is smaller: 115/89 or j? j Let t(r) be the first derivative of -r**4/2 - 4*r**3 + r**2/2 + 6*r + 26. Let k be t(-6). Does -0.8 = k? False Let c(g)
{ "pile_set_name": "DM Mathematics" }
or b. 2 Let d(f) = -f**2 - 6*f - 1. Let b = -7 + 2. Let s be d(b). Solve -2*i + s = -3*i for i. -4 Suppose 0 = -3*j + 4 - 1. Suppose 3*o - 4*l = o - 22, -3*o = 3*l + 15. Let u = o - -9. Solve -c = -j - u for c. 3 Let w = -53 + 74. Let x = w + -17. Solve x*v - 12 = 8 for v. 5 Let c be (-4)/(-6) - 4/6. Suppose -4 = -2*r - 2*k - 0, -4 = 2*k. Solve c = r*a - 7*a - 12 for a. -4 Let l be (-12)/(-7) + (-4)/(-14). Let n be -15*l/(-6)*-2. Let b be (16/n)/((-4)/10). Solve 2*m - b*m = 0 for m. 0 Let g = 18 + -32. Let t = -9 - g. Solve -4*d - 3 = -t*d for d. 3 Suppose 3*n - n + 4*r + 68 = 0, 4*r = -5*n - 152. Let c = -19 - n. Solve -q + c = 2*q for q. 3 Suppose 13*r = 20*r - 175. Suppose 5*c = c - 4*f - 8, 3*c + 10 = -4*f. Solve r = c*x + 3*x for x. 5 Let i = -15 - -19. Suppose 3 = i*m - 13. Solve -7*g - 12 = -m*g for g. -4 Let l = 9 - 6. Suppose l = -m + 11. Solve z + m - 3 = 0 for z. -5 Let w be ((-20)/(-3) + 1)*3. Suppose 2*k - w = -2*l + 9, k + 64 = 4*l. Solve v = -3*v - l for v. -4 Suppose 3*z = 10*z - 21. Solve z*q = -2*q + 20 for q. 4 Let b(f) = 39*f + f - 11*f**2 - 1 - 19 - 10*f. Let z(l) = -4*l**2 + 10*l - 7. Let y(x) = 3*b(x) - 8*z(x). Let g be y(9). Solve -r + 2*r = -g for r. -5 Suppose -4*z + 1 + 2 = -3*w, 3 = 5*z - 3*w. Solve z*i = -2*i + 10 for i. 5 Let y(a) = -2*a**2 + 18*a - 21. Let w be y(7). Solve 3*m = w + 5 for m. 4 Let a be (-6)/15 - 37/(-5). Suppose -a + 1 = -n. Solve r = n*r for r. 0 Suppose -2*z + 5 = 1. Suppose z*n - 2*c - c = 19, -2*c = n + 1. Solve -7*g = -2*g - n for g. 1 Suppose 0*f - 5 = -3*f - b, -b + 7 = 4*f. Let z be f - ((-2 - 2) + -3). Solve z*m + 5 = 4*m for m. -1 Let v(b) = b + 9. Let t be v(-6). Solve 5 - t = -q for q. -2 Let h be (-18)/45 - 64/(-10). Solve 3*i - 6 = h for i. 4 Suppose -3*o - 4*w = 2, -5*o + 3*w = -0*o - 45. Let s = o + -1. Solve -2*p + p = -s for p. 5 Let t = 2 - 1. Solve -4*u + t = -7 for u. 2 Let a(b) = -b**3 - 3*b**2 + 3*b + 4. Let c be a(-4). Solve 3*y - 20 + c = 0 for y. 4 Suppose 6*m - 6 = 4*m. Suppose 2*p - m - 5 = -5*v, 2*p - 8 = -4*v. Solve 0*l = -p*l for l. 0 Let v(c) = -c**2 + 8*c - 6. Let f be v(8). Let x = -1 - f. Solve 3*j = 2*j + x for j. 5 Let k(h) = -6*h - 17. Let u be k(-3). Let s be (-10)/(3/((-6)/4)). Suppose 12 = s*x - 3. Solve -x = g + u for g. -4 Let x = -7 + 15. Solve -2*l - x = -4*l for l. 4 Let b be 8/(-32) - (-21)/4. Solve -2*w + 1 = -b for w. 3 Let k(z) = z**2 - 14*z + 6. Let c be k(13). Let q = c - -8. Solve -5*p = 9 + q for p. -2 Suppose 6*o + 0*o - 18 = 0. Solve -2*s - 20 = o*s for s. -4 Let k be 3 + 1/(-2)*6. Solve k = -4*h - h + 5 for h. 1 Let l(o) = -o**3 - 4*o**2 - o - 1. Let y be l(-4). Suppose 5*g - j - 16 = y*j, 4*g + 5*j = 21. Let q be g/10 + (-8)/(-5). Solve -2 = -q*b - 8 for b. -3 Suppose -4*x - x = -95. Suppose x = 5*w - 2*s + 4*s, 5*w - 4*s - 37 = 0. Solve w*h - 1 = -21 for h. -4 Suppose 97 = 3*o + 91. Solve 0 = l + l + o for l. -1 Let j = 63 + -60. Solve a - j = 2 for a. 5 Suppose -3*j - 13 = -b, 2*j - 2*b = -3*b - 7. Let f be ((-48)/(-3) - 0) + j. Solve 5*p + f = -3 for p. -3 Let h = -20 - -21. Solve 2*j + 1 = -h for j. -1 Suppose -3*n + 5*n - 6 = 0. Solve 3*v = -n + 12 for v. 3 Let t be 2/11 - 220/(-121). Let c(v) = 3*v**2 - 2*v - 2. Let o be c(t). Solve -2*f - o = -0*f for f. -3 Suppose 0 = -13*l + 11*l + 40. Solve v = 5*v - l for v. 5 Let l(s) = s + 2. Let k be l(3). Suppose k + 3 = 4*o. Solve o = -5*d + 4*d for d. -2 Let i = -2 - -5. Let s be (-42)/(-8) + i/(-12). Solve -s = n - 4 for n. -1 Suppose -4*l + 21 - 9 = 0. Solve -l*q = -q + 10 for q. -5 Suppose 0 = -4*t - 1 - 7. Let p be t + (3 - -1) + 3. Solve 5*k + p = -0 for k. -1 Let q be (-4)/(-18) - (-112)/63. Suppose -p + 2 = -q. Solve 0*t = -p*t - 12 for t. -3 Suppose 5*c = -1 + 81. Let h be (-3 - (-6 - 1)) + -1. Solve h*v - 7*v - c = 0 for v. -4 Suppose 1 = 4*w - 7. Let x be (-1)/(-5 + 2)*(-144)/(-6). Solve w*b = 6*b + x for b. -2 Suppose -7*o = -5 - 9. Let h(v) = -2*v**3 - 3*v**2 + 1. Let p be h(-3). Suppose -p = -6*m + o*m. Solve 3*c - 5 = m for c. 4 Let z be -1 + 0 + 55/5. Solve -4*n = n - z for n. 2 Suppose 5*u - 35 = -4*l, u = -3*u + 3*l - 3. Let b = -4 + 7. Suppose -3*v = -4*j - 7*v + 4, -v = -b*j + 15. Solve u*z - j = -z for z. 1 Let c = -1 + 2. Let s be 3 - c - -1*43. Suppose 0*k + 5*k = 2*l + 40, 0 = -5*k + 3*l + s. Solve 0 = -4*p + k*p - 4 for p. 2 Let j = 4 - 1. Suppose 68 = 7*m - j*m. Solve 0 = 3*f + m - 5 for f. -4 Let d = -4 - -5. Let r be d - 6/(-3)*1. Solve -r*p + 8 = -p for p. 4 Let l(d) = d + 9. Let p be l(-6). Suppose 0*b + 30 = 4*q + 2*b, -4*b - 17 = -p*q. Suppose 0 = m - q + 3. Solve -4*t = -0*t - m for t. 1 Suppose -2*i - 14 = -5*i - 5*w, -4*i + 3*w + 9 = 0. Solve -i = -o - 8 for o. -5 Let j(d) = -4*d + 35. Let c be j(7). Let m = 4 + 0. Solve -m*f + 1 + c = 0 for f. 2 Suppose -p = -k + 4*k - 3, -p = 5*k + 1. Suppose -2*m = 3*q - 3*m + 13, 4*q = 5*m - 32. Let a = q + p. Solve a = -w - w for w. -3 Suppose -12 = -0*g - 4*g. Suppose -g*b - b + 32 = 0. Solve -4*f + b + 12 = 0 for f. 5 Suppose -a = -13*a + 60. Let t(m) = m + 10. Let x be t(-6). Solve 0 = a*w - x*w - 1 for w. 1 Let t = 9 + -7. Suppose b = -2*a - 3*a + 10, t*a - b + 3 = 0. Solve a = q + 5 for q. -4 Suppose p - 3*p - 21 = -3*f, -f - 3*p = 4. Let y = f - 9. Let h(r) = 3*r**2 + 6*r + 1. Let n be h(y). Solve 8*a = 3*a + n for a. 5 Let h be (2/3)/(2/(-6)). Let p be (-6)/(0 - (-3)/h). Solve p - 19 = 5*y for y. -3 Let y(m) = m**3 + 19*m**2 + 18*m + 7. Let c be y(-18). Solve -4*x + c*x = 0 for x. 0 Let q(g) = -g**3 - 8*g**2 + g - 2. Let y be q(-8). Let m = -4 - y. Let t be 5/((-10)/m) - -15. Solve -5*c = -t - 13 for c. 5 Suppose -2 = -3*v - 11. Let g be 3 + (v - (-3 - 1)). Solve -5*n + g = -n for n. 1 Let k(s) = s - 7. Let f be k(9). Suppose -2*t + 3*t - 1 = 2*h, 50 = 5*t + 5*h. Solve 0 = -f*m + t*m + 5 for m. -1 Let t(i) = -7*i - 7. Let n(c) = -6*c - 8. Let j(y) = 5*n(y) - 4*t(y). Let w be j(-8). Let o = 1 - -1. Solve d - o = -w for d. -2 Let g be (-18)/5*20/6. Let f(r) = r**3 + 11*r**2 - 12*r + 8. Let n be f(g). Suppose 4*d = -d. Solve n*j - 3*j = d for j. 0 Let g = 0 + -1. Let r be g/(-2 + 1/1). Let o = -1 + r. Solve 0 = -o*w + 3*w for w. 0 Let x(f) = -f**2 - 7*f - 3. Let t be x(-5). Suppose -12*r = -10*r. Solve r = -5*h + t*h - 8 for h. 4 Let c(d) = d**3 - 7*d**2 + 6*d + 3. Let i be c(6). Suppose -i*l = -5*l + 2. Let f = 4 - l. Solve -5*s - 17 = f for s. -4 Let u = 10 - 6. Suppose -17 - 6 = -5*b + u*o, -b - 7 = 5*o. Solve -5 = b*s + 2*s for s. -1 Suppose 0 = -6*u + u + 4*i + 105, -2*u + 70 = 4*i. Suppose -u = -5*r - 4*m - m, -3*r - 4*m + 17 = 0. Solve 2*v = 5*v + r for v. -1 Let z be 12/30 + (-2)/5. Suppose -2*n + 0*w - 4*w + 34 = z, -5*w = -n - 4. Suppose 5*l + n = m, 5*m = 2*l - 5*l + 83. Solve 0 = -4*b + 8*b + m for b. -4 Let p(y) = y**2 - 11*y + 2. Let w(a) = -a. Let x(z) = -p(z) + 3*w(z). Let o be x(7). Suppose o*t - 12 + 2 = 0, 4*t - 2 = 3*j. Solve -j*f + f = 0 for f. 0 Suppose 4*x = -0*x + 4*d, 0 = -5*x - d + 12. Suppose x*b - j + 22 = 4*b, -3*b + j = -23. Suppose -2*k - 3 = -b. Solve -k - 9 = -3*y for y. 4 Suppose z = k + 6, -5*z + 63 = -3*k + 23. Let n = z - 5. Solve -u = 2*u - n for u. 2 Let p(k) = -k + 1. Let b be p(-4). Let c = b + -5. Solve l = -c*l for l. 0 Let t be (-1 + (-2 - -3))*1. Suppose t*g + 24 = -2*g. Let c be 3*(g/(-9) + 1). Solve -c*z = -3*z for z. 0 Let t(p) = p**3 - 16*p**2 + 31*p - 34. Let o be t(14). Solve -o*z + 5*z = -9 for z. 3 Let q be (-1)/((-1)/6) - 0. Let t = -60 + 85. Solve 0 = -o + q*o + t for o. -5 Let y(n) = n + 1. Let t be y(1). Suppose -3*w + 12 = -q, -q = t*q + 4*w - 29. Solve 7 - q = -i for i. -4 Suppose m = -m. Suppose -3*a = -m*a - 15, -2*i + 35 = -a. Solve -4*l - l = -i for l. 4 Let c = 98 + -95. Solve -b - c*b + 20 = 0 for b. 5 Let p(y) = y**2 + y + 5. Let h be p(0). Suppose 2*k + 7 = 2*c - h, 5*c - 3*k - 24 = 0. Let j be 4/2 - (-6)/3. Solve -9 - c = -j*s for s. 3 Let m(a) be the second derivative of -a**5/20 + a**4/4 + a**3/6 + 3*a. Let c be m(3). Solve -c*f = 4 + 8 for f. -4 Let p be (-6)/(-2) + -5 + 2. Solve 5*w + 17 - 2 = p for w. -3 Suppose 2 = y - 4. Suppose o = 11 - 5. Solve y = 3*m - o for m. 4 Suppose 2*r = -5*n + 12, -r + 11 = 4*n + 2*r. Suppose -5*q = -n*z + 4*z - 5, -3*q + 2 = z. Let y(g) = 18*g. Let o be y(1). Solve -3 = -z*a - o for a. -3 Suppose 8 = 3*b -
{ "pile_set_name": "DM Mathematics" }
-26 + 14 + 11). -8 What is -1 - (-6 - (1 + -32 + 7 - -3))? -16 Calculate 13 - (2 - (-26 - -14)). -1 What is -4 + -10 + 6 - (-14 - -8)? -2 What is the value of 9 + 9 + -6 + 2 + -1 + 3? 16 Calculate 17 + (3 + -26 - -36). 30 Evaluate -4 + -4 + -4 + 9 + -2 - -6. 1 -11 + (-12 - (12 + -14 + -25)) 4 What is the value of -5 + (-3 - 1) + -3? -12 What is (0 - -3) + (-38 - -6) + 37? 8 Calculate 34 + (32 - 59 - -11). 18 Evaluate -1 - ((-26 - -20) + (11 - -1)) - 4. -11 Evaluate -3 - 10 - (-4 + -2 - 10). 3 What is the value of 32 - (12 - 6) - 12 - -13? 27 Evaluate -1 + 6 - (-13 + 1 - (8 - 2)). 23 What is (13 - (19 - 12)) + (4 - 1) + -2? 7 Calculate -26 + 39 - (-5 + 12). 6 What is (32 - 4) + -10 - 47? -29 7 + -21 + 25 + 2 + -3 + -13 -3 -3 + -4 - (-14 - (-5 - -14)) 16 (2 - -6) + 5 + -6 + 6 13 What is the value of -2 - (-15 - (7 - (-10 + 9 + 3)))? 18 Calculate (-24 + -19 - -22) + 27. 6 What is the value of -2 - -11 - (34 + -12 - (-3 - 8))? -24 Evaluate 1 + 0 + 0 + (101 - 103). -1 Calculate -4 - ((8 - 33) + -5). 26 What is the value of -34 - 1 - (-65 + 47)? -17 Evaluate -17 - 7 - -7 - (205 + -220). -2 What is (-22 - -3) + 23 - 10? -6 (-1 - 0) + -20 + (7 - (-5 - -4)) -13 Evaluate 0 - 2 - (12 + 0 - (23 - 1)). 8 Evaluate -36 - (6 + 6 + -28 + 4). -24 20 + (-22 - (-12 + 4)) 6 6 + -15 + (-15 - -21) + 14 - -22 33 -19 + 5 - 2 - -15 -1 Calculate (14 - (17 - 8)) + (17 - (-5 - -3)). 24 Evaluate 23 - (-2 + (-10 - -30)). 5 What is the value of -36 + (19 - (10 - (-8 + 8 + 1)))? -26 What is -2 + (-8 - (-3 - 20))? 13 44 + -28 + (-17 - -1) 0 What is -25 - ((-17 - (-18 + -2)) + 8)? -36 What is (1 - 13) + (25 - (10 - -14))? -11 What is the value of 11 + (-2 - (1 - (8 + -6) - -5))? 5 Evaluate (-13 - (-10 - (-13 - -6))) + -11. -21 What is the value of 0 + -5 + 58 + -32? 21 What is the value of -6 + -15 + (-2 - -3) + (16 - 9)? -13 Evaluate (2 + -8 + 3 - (6 - -17)) + 5. -21 (-8 - 2 - 0 - -18) + -3 5 Calculate 5 - (12 - (2 - (-11 - -13))). -7 What is the value of -3 + (-3 - -2) + 8 + (78 - 75)? 7 Calculate -27 - (-15 + 11 + 17 + -24). -16 Evaluate 10 + (-26 - -9) + -5 + 2 + 14. 4 What is (5 - (-5 + 16)) + 13 - (-2 + -1)? 10 What is 8 + -4 + 32 + -46? -10 24 - 22 - (4 + -9) - (19 + -2) -10 Evaluate -8 + (3 + 0 - 1 - (-40 + 45)). -11 Calculate -10 + 13 + -28 - -13. -12 What is the value of -10 + -2 - (3 + 31 + -51)? 5 (-2 - -1) + 1 + (-2 - (-4 - -14)) -12 Calculate (-23 - 0) + (-226 - -209) + 1 + 25. -14 What is -27 - ((-2 - 2) + (70 - 67))? -26 What is the value of 17 - (36 - 19) - (19 - 3)? -16 Calculate -1 + 10 + 0 + 1727 + -1722 + 8. 22 What is the value of 35 - (48 - (-5 - -31))? 13 -12 - (-17 + 6 + 4) - 19 -24 Calculate 4 + 17 + (-9 - (-6 - -2)). 16 What is the value of 1295 - 1306 - ((-4 - 0) + 0)? -7 Calculate (-8 - -25 - 26) + 0 + 0. -9 (-26 - (0 + -51)) + -11 14 -37 + 82 + -38 - (2 + 7) -2 What is the value of 5 + 0 - ((5 - 4) + -7 + 8)? 3 Evaluate -9 + -1 + 19 - (-5 - 7). 21 -7 + -1 - (396 - 411) 7 Calculate 6 + (-10 - (9 - (-8 - -8)) - -4). -9 What is 8 + -16 + 10 - (-2 - -12 - 36)? 28 -28 + 26 + 17 + (2 - (-1 + 2)) 16 (10 + 1 - 14 - -3) + -15 -15 Evaluate 16 + (-34 - -39) + -19. 2 (18 + -11 - 21) + 0 + 9 -5 What is the value of -6 + (23 - 29) - (1 - -10)? -23 Calculate 0 - (4 + (1 - -4)). -9 Calculate (49 - 13 - 60) + 38. 14 Calculate -13 + (3 - (-8 + 5 - -1)) - 7. -15 What is the value of -31 - (-56 + 25 - 18)? 18 Evaluate 1 - (-4 + 7) - (-5 + 12 + -4). -5 Evaluate -3 + 9 + -40 + 23. -11 What is 18 + -12 + 1 + -4? 3 Calculate 5 + 54 + -35 - 9. 15 Calculate (11 - 1) + (14 - (22 - -4)) + -19. -21 10 + (-58 - -25) + 20 -3 Calculate 24 + -20 + (-2 - -3). 5 What is the value of (49 - 36) + 3 + 0 + -8? 8 What is 1 - (6 - 1) - (4 + -9)? 1 12 + -17 + 1 + 0 -4 Evaluate 2 - (-6 + -3 + 8 - 4) - 8. -1 What is 1 + 7 + (-2 - -10)? 16 Evaluate 30 + 7 + (-32 - 34). -29 (3 - 18) + (38 - 19) 4 What is the value of 1 + (7 - (3 + 3 - 2)) - -2? 6 -16 + (10 - 20 - -19) -7 What is the value of (-12 + 15 + (-2 - 2) - 15) + 10? -6 Calculate (-1 - -5) + -2 + -1 + (339 - 336). 4 Evaluate 1 - -4 - (116 - 80 - 36). 5 What is -13 + -23 - -39 - (-11 - 1)? 15 3 + -9 + -19 + 13 -12 Calculate (292 - 297) + (-1 - 0 - 2 - -18). 10 -35 + (19 - (2 - 23)) 5 What is the value of 6 - (-42 + 33 - -7)? 8 Evaluate -15 + -2 + 8 + 2. -7 Evaluate -18 - (-3 + 14 + (-25 - (-25 - -12))). -17 What is the value of (8 - -2) + (5 - 11 - -2 - 1)? 5 What is (-36 - -70 - 50) + (0 - 2 - -9)? -9 What is the value of 14 + -20 + 0 + -1? -7 What is the value of 4 - ((1 - 17) + 21)? -1 42 + 11 - (-18 - -64) 7 Calculate 14 - (-49 - -34 - (-1 - 11)). 17 What is the value of 41 + -15 + (-22 - -14)? 18 Calculate (-12 - (-23 - 1)) + 0 + 16. 28 Evaluate 27 - 25 - (-78 - -53). 27 What is (-2 + (4 - 1) - 1 - -7) + -9? -2 Evaluate -25 + 28 + -9 + (-4 - 0). -10 What is -23 + 36 + (12 - 41)? -16 What is the value of -1 - ((-1 - (-1 + -8)) + (113 - 118))? -4 What is the value of (12 + 4 - 1) + -2 + 13? 26 What is the value of (1 - -3) + -18 + 6 + 1 + 20? 13 Calculate (-20 + 12 - -18) + (0 - 38 - 5). -33 -28 + 0 - (1119 + -1137) -10 What is the value of (-9 - (8 + -6)) + (1 - -1)? -9 18 + (-8 - 28 - -8) -10 17 + -23 + 9 + 10 13 Evaluate -2 - -6 - (-62 + 62). 4 Evaluate 11 - (-20 - -12 - -19). 0 What is 19 + -8 - (-1 - (-8 + 16))? 20 What is the value of 16 - (7 + -1) - -12 - 7 - 2? 13 What is -1 + (1 - 1) - (-11 - (-21 + 1))? -10 Calculate 9 + (-2 - (3 - 0)) + -60 + 35. -21 What is the value of -16 + (11 - 12 - (9 - 3))? -23 Calculate 7 - 25 - (-51 - -24). 9 8 - ((8 - 2) + (-5 + 26 - 22)) 3 What is the value of 42 - (4 - (15 - (11 - -10)))? 32 What is the value of 3 - -1 - (-24 + -13 - -38)? 3 What is the value of (19 - -13) + 11 + -18 - 10? 15 Calculate (14 + 20 - 40) + (1 - 7 - 0). -12 What is the value of 1 - (-1 + 3 - ((-18 - -12) + 9))? 2 What is (5 - (-7 - 10)) + -7? 15 What is 32 + (-27 - 8) + 34? 31 Evaluate -333 - -313 - (-5 + 1). -16 What is -124 - -143 - (9 + -1)? 11 (-3 + -19 - -8) + 4 -10 What is the value of (-174 - -154) + 0 + 25? 5 Calculate -17 + (17 - (36 - 29)). -7 What is -7 - (-8 - (6 + -9 + -6))? -8 Calculate (11 - (5 + 8 + 11)) + 35. 22 Calculate -4 + 2 + -2 + -3 + -1. -8 1 + -43 + (125 - 57) 26 Calculate 38 - 25 - 6 - (-2 + 2 - 7). 14 -8 - -13 - (4 + -9) - 7 3 Calculate (96 - 45 - 46) + (-1 - (2 + -16)). 18 Calculate -5 - ((0 - 2) + (1 - (2 + -3))). -5 Calculate (59 - 28) + -20 - 13. -2 What is the value of 8 + (-8 + 1 - -16 - 10)? 7 What is the value of -1 + 10 - (-18 + 6)? 21 What is -74 + 94 - ((6 - 0) + -2)? 16 Evaluate (-10 - -7) + (1 - 10) + (37 - 34). -9 1 - 32 - (-892 + 870) -9 Calculate (0 - (12 + 4)) + (-4 - -30). 10 Calculate 36 + -20 + -26 + 26. 16 What is the value of 32 - (-2 - (-3 + -18))? 13 What is the value of (0 - (-5 - -3)) + 3 - (15 - 22)? 12 What is the value of (-17 + (8 - -2) - 1) + (-1 - -8)? -1 (17 + 31 - 29) + 7 26 What is the value of 14 + (-11 - -24 - 7)? 20 Calculate (-2 - 2) + -5 - (0 + -1). -8 Evaluate 2 + (-16 + 16 - 13). -11 What is the value of 7 + -29 - (16 + -31)? -7 What is the value of -90 + 144 + -37 + 1? 18 What is the value of -2 + -1 + 2 + (112 - 97)? 14 Calculate 4 - (-28 + (2 - -60)). -30 7 + -6 - (-9 + (9 - 7) - -31) -23 Calculate (-22 - (18 - 35)) + 3. -2 Calculate -6 + 0 - (8 - (25 + -24)). -13 What is 7 - (2 + -1 + (-1 - 10 - -18))? -1 (-15 - 15) + 83 - 28 25 Evaluate -174 - -184 - (22 + -1). -11 Evaluate 7 - (21 - -7) - -3. -18 14 - -5 - (-18 - -40) -3 What is the value of 0 + (4 - ((-1 - -7) + -13) - 7)? 4 2 + 22 + (-214 - -153) -37 What is the value of 4 + -7 + (-29 - -32)? 0 Evaluate (-19 - 2) + (12 + -11 - -6). -14 What is -1 + 4 - ((9 - (3 - 2)) + 1)? -6 What is the value of 18 + (-12 - (-2 + -5)) + -2? 11 What is -3 - (1 - (18 - (0 + 9)))? 5 What is the value of 3 - (-25 + 43 + -33)? 18 Calculate 6 + -13 + -13 + 42 + -12. 10 Calculate -32 - (3 + 8 + -18) - (4 - -2). -31 Evaluate -200 + 182 - (1 + -8). -11 5 + -9 - 1 - (1 + 0 - -2) -8 Calculate 8 - -3 - (7 - -1) - 5. -2 What is 1 + -44 + 26 - -38? 21 Evaluate -10 - (-23 + 3) - 19 - (-4 + -1). -4 -16 - (16 - 5) - (1 - 15) -13 Calculate 8 + (5 - 15 - (1 - 10)). 7 What is the value of 7 - (9 - -4 - 17)? 11 What is (-7 - (-1 + (-15 - -11))) + 0? -2 Calculate (-15 - -1) + 3 + 20. 9 (-4 - 0 - -12) + (28 - (12 + 8)) 16 Wh
{ "pile_set_name": "DM Mathematics" }
= 0.4 - 0.8. What is the closest to h in 2/11, -2, g? -2 Let i = -1287 + 1290. Let l = 31 - 92/3. Which is the closest to l? (a) 1/3 (b) i (c) -0.4 a Let p = 79 - 77. Let x = 123/5 + -25. Which is the nearest to 1? (a) x (b) p (c) -1 b Let t = 2 - 4. Let x be (-2)/(2/t)*1. Suppose -x = -0*u - 2*u. Which is the closest to u? (a) -5 (b) -2/11 (c) -3 b Let i = 10 + -5. Let g be (-54)/8 - 9/36. Let x(q) = q + 5. Let d be x(g). Which is the closest to -2? (a) -0.2 (b) i (c) d c Suppose 4*q = 4*t - 8, 0 = -5*q + 3*t - 0 - 4. Which is the closest to 0.1? (a) 4/5 (b) q (c) 0.5 c Let l = -4/13 + 21/26. What is the closest to l in -5, -0.2, -0.5? -0.2 Let o be (1 + 1)/((-2)/(-2)). Let w = 30 - 31. Which is the nearest to -0.2? (a) o (b) -0.5 (c) w b Let a = 39.8 + -39.9. Let v = 98.06 - 96. Let q = v - 0.06. What is the closest to a in -0.5, q, 3? -0.5 Suppose 32 = -25*f + 57. Let s = -3.6 + 0.6. What is the nearest to 0.1 in s, 1/8, f? 1/8 Let a = 0.264 + -0.064. What is the closest to a in 0.1, 4, -4? 0.1 Let b = -0.076 - -0.576. Let y(v) = v**3 - 6*v**2 - 2*v + 9. Let x be y(6). What is the nearest to 0 in -2, b, x? b Let g = 5 + -5.5. Let v = -4 + 3.6. What is the nearest to -2/7 in -4, v, g? v Let u = -53315 - -7837250/147. Let k = u - -2/49. Let r = -0.2 + 0. What is the closest to k in -0.1, -1/3, r? -1/3 Let l = -1/20 - -9/20. Which is the nearest to -1? (a) -0.05 (b) 0 (c) l a Let y = -24859/165 - -452/3. Let q = y - 221/165. Which is the closest to 0.1? (a) -5/4 (b) 4 (c) q a Let q = -2 - -1. Let t be q/1 - 405/(-411). Let v = -288/959 - t. Which is the closest to v? (a) 0 (b) -1/8 (c) 4 b Let f = 0.3 - 0.5. Suppose p = -4*p + 25. Suppose p*i = -15, -2*i = -2*r - r. Which is the nearest to 1? (a) 3 (b) f (c) r b Let d be (2/16)/((-2 + 1)/6). Let k = 3.3 - 3. Which is the closest to 0? (a) 2/9 (b) k (c) d a Let l = 29 - 33. What is the closest to 2/3 in -3, l, -0.1? -0.1 Let j = 22 + -18.9. Let v = -0.8 + j. Let w = 0.3 - v. Which is the nearest to 1? (a) 0.3 (b) w (c) -4 a Suppose -5*f + 4*p - 2*p - 673 = 0, -2*p = 2*f + 272. Let l = f + 677/5. What is the nearest to l in -2, 2/9, 3? 2/9 Let v = 7290 + -36037/5. Let w = 83 - v. Let q = 1.2 - 1. Which is the nearest to q? (a) -0.5 (b) 4 (c) w c Let q = 43.02 + -43. Let t = 1.8 - 2. What is the nearest to -0.1 in q, t, -0.1? -0.1 Let l(x) = x. Let w be l(0). Suppose w = -2*d - 10 + 2. Let h be 66/72 - (-1)/d. Which is the nearest to -1/2? (a) -0.4 (b) -2/15 (c) h a Suppose -4*d + 7 = -11*d. Which is the nearest to d? (a) 4 (b) 0 (c) -1/4 c Suppose -b - 89 = 2*k, 0 = -b - 3 - 2. Let x = k - -87/2. What is the nearest to -0.1 in x, 2/3, -0.4? -0.4 Let j = 19 + -19. What is the closest to 0 in j, -0.3, -3/4? j Let r = -89.97 + 89. Let u = r + -0.03. What is the nearest to u in -5, 1/2, 2? 1/2 Let w = -12 + 10. Which is the closest to -0.1? (a) -0.03 (b) 1 (c) w a Suppose 3*m + m + 5*w = 17, m + 2*w - 8 = 0. Let h = m - -5. Let g be ((-1)/h)/((-1)/(-9)). Which is the closest to 2? (a) 0.2 (b) 0.1 (c) g a Let z = -3 - -4. Let y = 11 - 10. Let r = y + -1.5. Which is the nearest to z? (a) r (b) -0.4 (c) 1/3 c Let i = 0.04 + 3.96. Suppose -2*c + 3 = 2*w + 3*c, c = -4*w + 15. Let a = -7 + w. What is the nearest to 1 in 0, a, i? 0 Let j(p) = -p**3 + 11*p**2 - 8*p - 8. Let q be j(10). Suppose -3*o = o - q. Let u = -8 + o. Which is the closest to 0.1? (a) 2 (b) -2/5 (c) u b Let y = -13 - -14.8. Let m = y - -1.2. What is the nearest to m in 1, -2/5, -2? 1 Let g = -4.48 - -0.38. Let d = 0.1 + g. Which is the nearest to 2? (a) 0.4 (b) 2/15 (c) d a Let t = -17 + 17. Suppose -2*u = 2 - t. Which is the closest to -0.1? (a) 0.1 (b) -3 (c) u a Let w = 1 - 0. Which is the nearest to 2/5? (a) w (b) -4 (c) 0.08 c Let j = 3 - 3. Let n be 6/9*(-3 - j). Let a = -7/4 - n. What is the closest to 0.1 in a, -0.1, -1/8? a Suppose -7 = 5*a - 12. What is the nearest to -0.1 in -5, 5/4, a? a Let i = -3 + 2.9. Let h = -0.2 + 0.2. Let o = 0 - h. Which is the closest to -1/4? (a) -1 (b) i (c) o b Let d = -31 + 216/7. Let r = -283 - -7079/25. Let s = 17/50 + r. What is the nearest to 1 in s, 2/7, d? s Suppose 0 = -3*a - 5*r + 21, -1 = -4*a + 4*r - 5. What is the closest to 1/3 in 58, -2, a? a Suppose v = -2*v + 9. Let x = v - 5. Let n be (x/16)/((-1)/(-2)). Which is the nearest to n? (a) -3 (b) -1 (c) 0 c Let f = -1/74 + -69/370. What is the nearest to 3 in -3, -0.5, f? f Let h = -0.33 - -0.23. What is the nearest to -2 in -5, h, 0? h Let j be ((-16)/(-2))/((-1)/1). Let p be (-36)/16 - 2/j. Which is the closest to -0.2? (a) -1/2 (b) -0.4 (c) p b Let w = 196 - 191. What is the closest to -9 in -0.2, 2/3, w? -0.2 Let p = 2 - 1. Let r = 55/2 - 28. Which is the closest to 0? (a) -2/7 (b) p (c) r a Let h = 0.29 - 0.29. Suppose -2 = 2*a - a. Let c be a + (-2 + 2 - -1). What is the nearest to c in h, 3, 0.5? h Let o(s) = -s - 3. Let l be o(-3). Let g = -0.06 - 0.24. Which is the nearest to l? (a) -5 (b) g (c) 0 c Let g = 3 + 2. Let o be -3*(-6)/9 - -2. Let t = o - 3. What is the nearest to 1/4 in t, g, 5/3? t Let u = -17.2 - -17. What is the closest to -4 in u, 2, -1/3? -1/3 Suppose r + 2*r = 0. Let a = 8 - 7.5. What is the nearest to r in 0, a, 1/5? 0 Suppose -15 = 5*r, -3*h - 3*r - 7 = -1. What is the nearest to 1/5 in 1/2, h, 3/4? 1/2 Let a = 1.3 + -0.3. Let j = -1 - a. Let y = 5 + -27/5. What is the nearest to j in 1, -0.1, y? y Let v = -0.9 - 4.1. Suppose -n = -2*n. What is the closest to n in -0.3, v, -4/5? -0.3 Let u be (-1 + 4)*(-1 + 4). Suppose 0 = -2*l + 3*l + 2*h - u, h = -l + 4. Let x = -2 - -1.9. Which is the closest to x? (a) l (b) 4 (c) -0.5 c Let v = -2 + 1.5. Let x = -31 + 123/4. Let h = 0.03 + 0.07. What is the nearest to h in v, 1, x? x Let r(l) = -l**2 + 10*l + 9. Let j be r(11). Let i = 5.03 - 5. Let f = i - -0.27. Which is the nearest to j? (a) 3/2 (b) f (c) 1 b Let d = 33 - 38. Which is the nearest to -1? (a) 5/3 (b) d (c) -0.2 c Let y = 0.18 - 0.28. Which is the closest to y? (a) 0.6 (b) 0 (c) 1 b Let r be 30/9*18/10. Suppose 0 = 3*v + r - 3. Which is the nearest to -2/3? (a) v (b) 3 (c) -2 a Let h = -0.7 + -0.3. Let v = 0.4 + -0.3. Which is the nearest to v? (a) h (b) -0.5 (c) 3 b Let s = -9/5 - -32/15. Which is the closest to -1? (a) -1 (b) -2 (c) s a Let i be (-1 - 2/(-3)) + 0. Let k = -130 + 648/5. What is the nearest to -1 in 0, k, i? k Let j(d) = d**2 + 9*d - 7. Let l be j(-10). Let w = 2 - l. Which is the closest to w? (a) 0 (b) -3 (c) -0.3 c Let x = -0.04 + -2.96. Let f = 3.6 - -0.4. Let o = f + x. Which is the closest to 0? (a) -0.3 (b) o (c) -3/8 a Let o = 0 + 1. Let v be (-27)/3 - 3/(-1). Let h = v + 41/7. What is the nearest to -1/5 in h, 2/3, o? h Let j = -1087/6 + 181. Let n = 0.2 + 0.4. Let s = -2.4 - n. Which is the nearest to 0.1? (a) 0.5 (b) s (c) j c Suppose 0*x + 12 = -3*x. Let o = -0.7 + 0.6. Let i = 0 + -0.4. Which is the closest to o? (a) i (b) -3/2 (c) x a Suppose 53*w - 48*w + 10 = 0. What is the closest to 0.1 in -4, 0.2, w? 0.2 Suppose -3*d - 18 = 3*k, -d - 4*k = 15 + 6. Let t = 56.6 - 57. What is the nearest to t in 0, d, 2? 0 Let g = -52 - -52. What is the nearest to g in -0.4, -2/11, -5? -2/11 Let m = 2.5 + 4. Let z = 6 - m. Let g = z - -0.8. Which is the nearest to -1? (a) -5 (b) g (c) 1 b Suppose -12 = -8*n - 4. Which is the closest to 1/2? (a) 0.4 (b) n (c) -1/4 a Let h = 39 + -38.7. What is the nearest to -2 in -0.03, 2/17, h? -0.03 Let m = 0 - 1. Let w = m + 0.6. What is the closest to -1 in 4, w, 0.1? w Let b = -7.6 - -3.6. Let s = 1.98 - -0.02. Let u = 3 + s. What is the closest to 0.1 in u, 2, b? 2 Suppose 110 = -3*a - 2*a. Let n = a + 23. What is the closest to n in 4, 1/6, -5? 1/6 Let z = 68 + -72. Which is the nearest to 1/2? (a) 2 (b) 0 (c) z b Let l be (11 + -3)*-1*2/4. Let k = 1 - 1. Which is the nearest to k? (a) 1/2 (b) 0.2 (c) l b Let z = 0.04 + -0.04. Let j = -56 + 63.3. Let l = j + -7. Which is the nearest to z? (a) -0.1 (b) l (c) 1/2 a Let s = 14.9 + -12.9. Let n = 0.5 - 0.1. What is the closest to 0.1 in -0.1, s, n? -0.1 Let m = 0.5 + -0.3. Let h = -0.1 + m. Let b = -2.9 + 3. What is the closest to h in b, 1, -0.5? b Let j = -24 - -2
{ "pile_set_name": "DM Mathematics" }
29, 73, 2111 What are the prime factors of 117059225? 5, 29, 161461 What are the prime factors of 43807989? 3, 14602663 What are the prime factors of 483215171? 10663, 45317 What are the prime factors of 3015872? 2, 47123 What are the prime factors of 46798197? 3, 19, 251, 3271 What are the prime factors of 5258907435? 3, 5, 41, 8551069 What are the prime factors of 238525361? 11909, 20029 What are the prime factors of 3073332105? 3, 5, 23, 211, 4691 List the prime factors of 2926254855. 3, 5, 195083657 What are the prime factors of 872761438? 2, 29, 15047611 What are the prime factors of 830230907? 11, 4363, 17299 List the prime factors of 4503274612. 2, 1125818653 List the prime factors of 5559095899. 7, 97, 271, 30211 List the prime factors of 140506490. 2, 5, 14050649 What are the prime factors of 24355438? 2, 67, 181757 List the prime factors of 564139519. 31, 331, 54979 List the prime factors of 61406440. 2, 5, 47, 89, 367 List the prime factors of 99083540. 2, 5, 23, 215399 What are the prime factors of 131628132? 2, 3, 1218779 List the prime factors of 202520500. 2, 5, 7, 13, 4451 List the prime factors of 3435437165. 5, 11867, 57899 What are the prime factors of 219947944? 2, 41, 61, 10993 What are the prime factors of 883330394? 2, 373, 569, 2081 What are the prime factors of 1309087705? 5, 71, 151, 24421 List the prime factors of 125272560. 2, 3, 5, 7, 74567 What are the prime factors of 43934602? 2, 587, 37423 What are the prime factors of 209464495? 5, 3433, 12203 List the prime factors of 49583243. 29, 1709767 What are the prime factors of 25616306? 2, 103, 124351 List the prime factors of 1888747345. 5, 17, 19, 229, 5107 What are the prime factors of 947254832? 2, 5113, 11579 What are the prime factors of 157993636? 2, 53, 313, 2381 List the prime factors of 1345142171. 61, 22051511 List the prime factors of 900143465. 5, 13, 151, 91711 What are the prime factors of 82836955? 5, 16567391 List the prime factors of 4318215. 3, 5, 11, 26171 What are the prime factors of 52934096? 2, 3308381 List the prime factors of 76090319. 503, 151273 What are the prime factors of 25176560? 2, 5, 314707 List the prime factors of 1947064771. 31, 269, 233489 What are the prime factors of 1257945335? 5, 251589067 List the prime factors of 4583980560. 2, 3, 5, 19099919 List the prime factors of 1900669. 733, 2593 List the prime factors of 27361185. 3, 5, 359, 5081 List the prime factors of 734206604. 2, 31, 313, 18917 List the prime factors of 1432932290. 2, 5, 143293229 List the prime factors of 330463681. 330463681 List the prime factors of 8962559412. 2, 3, 101, 1487, 4973 What are the prime factors of 53877441? 3, 479, 37493 What are the prime factors of 1434580304? 2, 31, 2892299 List the prime factors of 6474677094. 2, 3, 359704283 List the prime factors of 2221810101. 3, 7, 11755609 List the prime factors of 22663417. 7, 3237631 What are the prime factors of 74096611? 43, 1723177 What are the prime factors of 121968523? 17, 7174619 List the prime factors of 366431771. 53, 6913807 What are the prime factors of 4169149792? 2, 79, 281, 5869 What are the prime factors of 2160898815? 3, 5, 17, 739, 11467 List the prime factors of 369942556. 2, 463, 199753 What are the prime factors of 7903639? 19, 503, 827 What are the prime factors of 238637727? 3, 26515303 What are the prime factors of 4230422261? 13, 325417097 List the prime factors of 857666168. 2, 103, 1040857 List the prime factors of 1326294927. 3, 47, 3135449 What are the prime factors of 98884109? 98884109 What are the prime factors of 231590162? 2, 115795081 What are the prime factors of 363176525? 5, 17, 854533 List the prime factors of 1072903777. 11, 97536707 List the prime factors of 24131797. 719, 33563 What are the prime factors of 60880661? 60880661 What are the prime factors of 4252228392? 2, 3, 73, 383, 6337 What are the prime factors of 229765870? 2, 5, 2699, 8513 List the prime factors of 1897673353. 37, 199, 257731 What are the prime factors of 974438? 2, 487219 What are the prime factors of 1822782605? 5, 7, 1062847 List the prime factors of 5980902351. 3, 1993634117 List the prime factors of 1016986531. 11, 179, 516499 List the prime factors of 1189097530. 2, 5, 1579, 75307 What are the prime factors of 525503894? 2, 262751947 What are the prime factors of 204581720? 2, 5, 7, 83, 8803 What are the prime factors of 127163902? 2, 4799, 13249 What are the prime factors of 51844389? 3, 107, 373, 433 What are the prime factors of 1229253484? 2, 307313371 What are the prime factors of 1272040941? 3, 18731, 22637 What are the prime factors of 12184047? 3, 311, 1451 List the prime factors of 204712243. 204712243 What are the prime factors of 1339343645? 5, 71, 89, 42391 What are the prime factors of 56416616? 2, 283, 24919 What are the prime factors of 69182797? 69182797 List the prime factors of 4608359946. 2, 3, 85339999 What are the prime factors of 441902577? 3, 147300859 List the prime factors of 80830276. 2, 1979, 10211 What are the prime factors of 68143352? 2, 8517919 List the prime factors of 4749529957. 181, 3761, 6977 List the prime factors of 2282867. 2282867 What are the prime factors of 2398293296? 2, 7, 353, 60661 What are the prime factors of 2861108884? 2, 715277221 What are the prime factors of 1604254874? 2, 802127437 List the prime factors of 8913311818. 2, 12511, 356219 List the prime factors of 2654094659. 39779, 66721 What are the prime factors of 649826587? 53, 79, 155201 List the prime factors of 1794841348. 2, 31, 2851, 5077 List the prime factors of 32062849. 7, 13, 27103 List the prime factors of 102525752. 2, 7, 1830817 What are the prime factors of 1953227099? 1163, 1679473 List the prime factors of 587155748. 2, 31, 4735127 List the prime factors of 102019468. 2, 3041, 8387 List the prime factors of 218283185. 5, 59, 739943 What are the prime factors of 3639083313? 3, 569, 2131859 What are the prime factors of 39006954? 2, 3, 7, 37, 2789 List the prime factors of 985226734. 2, 492613367 What are the prime factors of 152232814? 2, 23, 43, 76963 What are the prime factors of 140387812? 2, 35096953 List the prime factors of 8592603095. 5, 31, 55436149 List the prime factors of 401080613. 151, 2656163 List the prime factors of 9107272. 2, 1138409 List the prime factors of 415317658. 2, 7, 191, 155317 What are the prime factors of 926851692? 2, 3, 13, 19, 312703 What are the prime factors of 402748618? 2, 1879, 107171 What are the prime factors of 1963847765? 5, 11, 47, 759709 List the prime factors of 787671321. 3, 262557107 What are the prime factors of 134354983? 7, 23, 834503 What are the prime factors of 33286771? 7, 4755253 What are the prime factors of 948756053? 7, 47, 107, 26951 What are the prime factors of 69268391? 69268391 What are the prime factors of 2167290267? 3, 16823, 42943 What are the prime factors of 1252372826? 2, 659, 950207 List the prime factors of 415451561. 7, 59350223 What are the prime factors of 3677312793? 3, 7, 11, 15919103 What are the prime factors of 571046187? 3, 190348729 List the prime factors of 1608283430. 2, 5, 13, 951647 List the prime factors of 198595817. 7, 3917, 7243 What are the prime factors of 805426115? 5, 13, 641, 1487 What are the prime factors of 37307292? 2, 3, 11, 137, 2063 What are the prime factors of 1177016839? 463, 1303, 1951 What are the prime factors of 110082233? 1669, 65957 What are the prime factors of 2379690880? 2, 5, 7, 75883 What are the prime factors of 3172457? 41, 77377 What are the prime factors of 125529282? 2, 3, 6973849 What are the prime factors of 2099194395? 3, 5, 491, 285023 List the prime factors of 744575297. 23, 887, 36497 List the prime factors of 531469304. 2, 66433663 List the prime factors of 533113515. 3, 5, 11, 358999 List the prime factors of 170323886. 2, 1481, 57503 What are the prime factors of 1011493729? 163, 1217, 5099 List the prime factors of 89716069. 89716069 List the prime factors of 698836060. 2, 5, 13, 109, 24659 What are the prime factors of 117055669? 2719, 43051 What are the prime factors of 2628693781? 7, 375527683 List the prime factors of 200534261. 17, 11796133 What are the prime factors of 36120437? 67, 539111 List the prime factors of 35426
{ "pile_set_name": "DM Mathematics" }